|\^/|     Maple 7 (IBM INTEL LINUX)
._|\|   |/|_. Copyright (c) 2001 by Waterloo Maple Inc.
 \  MAPLE  /  All rights reserved. Maple is a registered trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.


`############################################################`
`# Algebraic Combinatorics Environment,  3.0,  June 2, 1998 #`
`############################################################`
`# Alain Lascoux, Sebastien Veigneau & Co                   #`
`# Institut Gaspard Monge, Universite de Marne-la-Vallee,   #`
`# Cite Descartes, 5 Boulevard Descartes, Champs-sur-Marne, #`
`# 77454, Marne-la-Vallee, Cedex 2, FRANCE.               #`
`# Email: ACE@univ-mlv.fr                               #`
`# URL: http://phalanstere.univ-mlv.fr/~ace           #`
`####################################################`
`# ACE  Algebraic Combinatorics Environment         #`
`#                                                  #`
`# SFA  Symmetric Functions on different Alphabets #`
`# FM   Free Module over symmetric polynomials   #`
`# NCSF NonCommutative Symmetric  Functions    #`
`# CLG  Characters of Linear Groups          #`
`# SP   Schubert Polynomials               #`
`# SYMF SYMmetric Functions              #  __/__/ __/_/_/ __/_/__/`
`# TAB  TABleaux                       #  __/ __/ __/     __/`
`# FREE FREE algebra                 #  __/_/__/ __/     __/_/`
`# BNA  hyperoctahedral Algebras   #  __/   __/ __/     __/`
`# SGA  Symmetric Group Algebra  #  __/    __/ __/_/_/ __/_/__/`
`# NCA  NilCoxeter Algebra     #`
`# IDCA IDCoxeter Algebra     #                _/_/_/    _/_/_/`
`# HEKA HEcKe Algebra          #                _/_/    _/  _/`
`#                               #           _/_/_/ _/ _/_/_/`
`# BN   hyperoctahedral groups    #`
`# SG   Symmetric Groups         #`
`# CG   Classical Groups       #`
`#                           #`
`# PART PARTitions         #`
`# COMP COMPositions      #`
`#                         #`
`# ERR  ERRors              #`
`# TEX  TEX output         #`
`# TYP  TYPe checking    #`
`#######################`


[14]
-65856*p3*p2*p1^2-54880/3*p4*p1^3-24696*p2^3*p1+3136*p7*p1^2+7/4*(1658720-47040
*n)*p4*p2*p1+6272/3*p3^3+11760*p4*p3*p2+4900*p4^2*p1+5292*p5*p2^2+9408*p5*p3*p1
+8232*p6*p2*p1+7/5*(912100-23520*n)*p5*p1^2+7/9*(-364644+7056*n)*p6*p3+7/10*(-\
414400+8400*n)*p5*p4+7/4*(-127824+2016*n)*p8*p1+(-265160+4704*n)*p7*p2-420*p9*
p2+14*p13-308*p10*p1-504*p8*p3-560*p7*p4+14/11*(13013-132*n)*p11+7/12*(2787120-\
84672*n)*p3*p2^2+7/3*(-460116716+67426128*n-2788296*n^2+32928*n^3)*p3*p2+7/3*(
253697472-158435816/3*n+3076024*n^2-153664/3*n^3)*p1^3+14/3*(3799531008-\
27780690076/15*n+285102510*n^2-53122468/3*n^3+452074*n^4-19208/5*n^5)*p3+2*(
112991879-32886896/3*n+283612*n^2-5488/3*n^3)*p7+14/9*(2381379-91710*n+630*n^2)
*p9-588*p6*p5+153664/15*p1^5+7/3*(41293756-3563280*n+65856*n^2)*p3*p1^2+7/4*(
57525328-5113248*n+98784*n^2)*p2^2*p1+7/6*(-3254384+131712*n)*p2*p1^3+7*(-\
1361278656+1330393288/3*n-44107056*n^2+4884320/3*n^3-19208*n^4)*p2*p1+14*(
889574400-18599081776/15*n+22022364112/45*n^2-226605988/3*n^3+45801476/9*n^4-\
739508/5*n^5+67228/45*n^6)*p1+7/2*(-298489496+127489712/3*n-1677760*n^2+54880/3
*n^3)*p4*p1+7/6*(-28369936+1769040*n-23520*n^2)*p4*p3+7/3*(-12859644+735000*n-\
8232*n^2)*p6*p1+7/9*(1924272-56448*n)*p3^2*p1+7/5*(-23214800+1409520*n-17640*n^
2)*p5*p2+14/5*(1422529108-919788830/3*n+20259120*n^2-1451380/3*n^3+3430*n^4)*p5
[13, 2]
12168*p5*p2*p1^2+4732*p6*p1^3-520*p9*p1^2+7605*p4*p2^2*p1+13520*p4*p3*p1^2-910*
p6*p4*p1+8112*p3^2*p2*p1-832*p7*p3*p1-702*p8*p2*p1-468*p5^2*p1+13/6*(-226464+
3276*n)*p6*p2*p1+26/15*(-308220+4680*n)*p5*p3*p1-140608/3*p3^3-263640*p4*p3*p2-\
118638*p5*p2^2+13/4*(-25225168+1136720*n-10140*n^2)*p4*p2*p1+13/6*(1936272-\
48672*n)*p3*p2*p1^2+13/5*(11440-110*n)*p10*p1+26*p12*p1+13/5*(232608740-\
14900730*n+197730*n^2)*p5*p2+13/6*(284446708-18718440*n+263640*n^2)*p4*p3+13/10
*(4704700-101400*n)*p5*p4-70304/3*p3*p1^4-39546*p2^2*p1^3+10140*p9*p2+13/16*(-\
336800+5200*n)*p4^2*p1+13/4*(2513004-76944*n+468*n^2)*p8*p1+13/7*(3005912-56784
*n)*p7*p2+13/7*(-179312+2912*n)*p7*p1^2+13/9*(4137588-85176*n)*p6*p3+13/3*(
160352712-11805353*n+229866*n^2-1183*n^3)*p6*p1+13/5*(-18622880+939380*n-10140*
n^2)*p5*p1^2+13/9*(-29098884+1337544*n-12168*n^2)*p3^2*p1+13/12*(-29556072+
949104*n)*p3*p2^2+13/12*(1526200-40560*n)*p4*p1^3+13/24*(1886976-36504*n)*p2^3*
p1+13/3*(4135809080-634073466*n+27537198*n^2-342732*n^3)*p3*p2+13/2*(2898016784
-463825406*n+134206267/6*n^2-378560*n^3+10985/6*n^4)*p4*p1+26/5*(-12246466232+
16467232015/6*n-758359615/4*n^2+28550015/6*n^3-142805/4*n^4)*p5+13/4*(-\
620130320+65928070*n-1871844*n^2+13182*n^3)*p2^2*p1+13*(11402172288-19715619371
/5*n+1286917645/3*n^2-73781175/4*n^3+920543/3*n^4-28561/20*n^5)*p2*p1+13/6*(
59953088-4573140*n+79092*n^2)*p2*p1^3+26*(-6706022400+799284327823/84*n-\
348194185691/90*n^2+449362432441/720*n^3-3241103125/72*n^4+13285259/9*n^5-\
7168811/360*n^6+371293/5040*n^7)*p1+26/7*(-1073706634+328146182/3*n-2988258*n^2
+61516/3*n^3)*p7+13/3*(-503560040+57396300*n-1867788*n^2+17576*n^3)*p3*p1^2+26/
9*(-25411386+1037205*n-7605*n^2)*p9+13/3*(-2438656128+1795922453/3*n-93076919/2
*n^2+4207255/3*n^3-28561/2*n^4)*p1^3+26/11*(-158158+1716*n)*p11+13/60*(-4280432
+175760*n)*p1^5+26/3*(-30243403008+454939580771/30*n-9664688345/4*n^2+468240019
/3*n^3-16651063/4*n^4+371293/10*n^5)*p3+12168*p8*p3+13520*p7*p4+14196*p6*p5-364
*p13
[12, 3]
36*p11*p2-1080*p5*p4*p2-1008*p6*p3*p2-864*p7*p2^2-648*p8*p2*p1+414720*p4*p1^3+
7776*p3*p2^3+12960*p4*p2^2*p1+5184*p5*p2*p1^2-55296*p3^3-129600*p4^2*p1-248832*
p5*p3*p1-82944*p7*p1^2+3/2*(-381840+5760*n)*p4*p3*p2+9/2*(-16357552+730080*n-\
7200*n^2)*p4*p2*p1+3*(791136-13824*n)*p3*p2*p1^2+3*(-145824+2016*n)*p6*p2*p1+2*
(17370-180*n)*p9*p2+9/10*(-434640+8640*n)*p5*p2^2+9504*p10*p1+15552*p8*p3+18144
*p6*p5+6912*p3^2*p2*p1-504*p13-20736*p2^2*p1^3-995328/5*p1^5+17280*p7*p4+6*(-\
284912352+27498456*n-657432*n^2+3456*n^3)*p3*p1^2+3/4*(2004480-62208*n)*p2^3*p1
+2*(-15838848+540864*n-1728*n^2)*p3^2*p1+9/2*(-431958784+48678144*n-1652544*n^2
+19008*n^3)*p2^2*p1+18*(8050704128-14022188944/5*n+312208640*n^2-14385888*n^3+
293616*n^4-12096/5*n^5)*p2*p1+36*(-4843238400+34487434176/5*n-14169290928/5*n^2
+2339217936/5*n^3-35458368*n^4+6509424/5*n^5-115632/5*n^6+864/5*n^7)*p1+3*(
26337888-1501632*n+17280*n^2)*p2*p1^3+9/2*(1181952-22536*n+72*n^2)*p8*p1+18/7*(
3344754-109536*n+840*n^2)*p7*p2+2*(3406032-78876*n+252*n^2)*p6*p3+9/5*(3880800-\
93900*n+300*n^2)*p5*p4+6*(97348272-6392904*n+103488*n^2-504*n^3)*p6*p1+18/5*(
192375350-14995470*n+339570*n^2-2520*n^3)*p5*p2+18/5*(-7434720+225360*n-720*n^2
)*p5*p1^2+3*(217043232-15542340*n+286980*n^2-1440*n^3)*p4*p3+3/2*(-31630992+
1733472*n-23328*n^2)*p3*p2^2+6*(3073477032-510628722*n+26742522*n^2-554760*n^3+
4320*n^4)*p3*p2+9*(1951978048-306175564*n+14377468*n^2-244080*n^3+1440*n^4)*p4*
p1+36/11*(-138138+3443/2*n-11/2*n^2)*p11+36/7*(-800854054+174969249/2*n-5692869
/2*n^2+34566*n^3-168*n^4)*p7+4*(-20126106+1822365/2*n-20655/2*n^2+45*n^3)*p9+6*
(-1551045888+347456664*n-22944744*n^2+523152*n^3-3456*n^4)*p1^3+12*(-\
21779747808+55663145514/5*n-1850247018*n^2+130961388*n^3-4314492*n^4+335736/5*n
^5-432*n^6)*p3+36/5*(-8880183312+4145984395/2*n-312450685/2*n^2+4832145*n^3-\
65460*n^4+360*n^5)*p5
[12, 2, 2]
4320*p5*p4*p2-1344*p6*p3*p1^2+4032*p6*p3*p2-27648*p2*p1^5+12*(171964104-9429120
*n+113760*n^2)*p4*p2*p1+8*(-18898260+748944*n-5184*n^2)*p3*p2*p1^2+4*(1816920-\
8640*n)*p4*p3*p2+4*(-225480+2880*n)*p4*p3*p1^2+8*(2118816-39312*n)*p6*p2*p1+32/
5*(2713320-51840*n)*p5*p3*p1+24/5*(-177780+2160*n)*p5*p2*p1^2+4*(-17494728+
833760*n-8640*n^2)*p4*p1^3+16/3*(193318272-10561536*n+126144*n^2)*p3^2*p1+4*(
178409880-7046784*n+33696*n^2)*p3*p2^2+4/3*(1543968-41472*n)*p3*p1^4+2*(-\
16536960+466560*n)*p2^3*p1+2*(1416960-31104*n)*p2^2*p1^3+24*(-14464506856+
2519107276*n-137415964*n^2+2818800*n^3-18720*n^4)*p4*p1+16*(-19806165288+
3208812978*n-151056930*n^2+2235096*n^3-5184*n^4)*p3*p2+16*(2892585108-384287784
*n+15848640*n^2-232272*n^3+864*n^4)*p3*p1^2+12*(3386003808-410032512*n+14388480
*n^2-150336*n^3)*p2^2*p1+8*(-433323408+43667712*n-1274400*n^2+10368*n^3)*p2*p1^
3+48*(-50648178240+92180890768/5*n-2160621728*n^2+104376864*n^3-2130768*n^4+
76032/5*n^5)*p2*p1+48/5*(-1255573965+87900360*n-1411530*n^2+3240*n^3)*p5*p2+48/
5*(142999075-9392250*n+165480*n^2-720*n^3)*p5*p1^2+8*(-1508741640+105548100*n-\
1634820*n^2+1440*n^3)*p4*p3+16/3*(9765-90*n)*p9*p1^2+48/5*(-115610+1320*n)*p10*
p1+24/5*(-28287000+655500*n-300*n^2)*p5*p4+12/5*(1585080-12960*n)*p5*p2^2+3*(
2956800-57600*n)*p4^2*p1+12*(-19029288+701064*n-5256*n^2)*p8*p1+48/7*(-19351899
+452508*n-1176*n^2)*p7*p2+48/7*(2145801-60732*n+336*n^2)*p7*p1^2+16/3*(-\
24857280+550620*n-252*n^2)*p6*p3+3456*p7*p2^2-345600*p7*p4-864*p8*p1^3-311040*
p8*p3-31104*p3*p2^3-362880*p4*p2^2*p1-359424*p3^2*p2*p1+10368*p3*p2^2*p1^2-\
362880*p6*p5+20736*p5^2*p1+16/3*(-64935+270*n)*p9*p2+17280*p4*p2*p1^3+6912*p5*
p1^4+8/3*(-182448+3024*n)*p6*p1^3+9216*p3^2*p1^3+40320*p6*p4*p1-1152*p7*p2*p1^2
-1248*p12*p1+48*p11*p1^2-144*p11*p2-1440*p5*p4*p1^2+36864*p7*p3*p1+33696*p8*p2*
p1+16*(-953191650+80244528*n-1893696*n^2+12600*n^3)*p6*p1+1105920*p3^3+96/7*(
5406360960-1163096025/2*n+34294533/2*n^2-139398*n^3+168*n^4)*p7+96*(27243216000
-1375395551136/35*n+82137972912/5*n^2-13810789968/5*n^3+212177760*n^4-38634672/
5*n^5+637488/5*n^6-26784/35*n^7)*p1+4/5*(48572640-3758400*n+69120*n^2)*p1^5+96/
11*(1021020-24035/2*n+11/2*n^2)*p11+10080*p13+96/5*(56137346265-26221077175/2*n
+1910845405/2*n^2-25976385*n^3+233940*n^4-360*n^5)*p5+16*(11871733680-\
16191787896/5*n+295204968*n^2-11479248*n^3+190944*n^4-5184/5*n^5)*p1^3+32*(
129014269020-66546744306*n+11008684098*n^2-747776028*n^3+21544380*n^4-228888*n^
5+432*n^6)*p3+32/3*(143513370-12537225/2*n+104895/2*n^2-45*n^3)*p9
[11, 4]
2178*p3*p2^3+11/2*(-11704380+472960*n-2640*n^2)*p4*p2*p1+11/3*(596112-15048*n)*
p3*p2*p1^2-10648/3*p3*p1^4+44/15*(-148440+2700*n)*p5*p3*p1+11/6*(-267900+3960*n
)*p4*p3*p2+11/3*(-67284+504*n)*p6*p2*p1+22/5*(144570580-10390710*n+163350*n^2)*
p5*p2+22/5*(-6776800+291520*n-2640*n^2)*p5*p1^2+11/3*(182570036-14281529*n+
290235*n^2-1210*n^3)*p4*p3+11/6*(278960-5280*n)*p4*p1^3+22/9*(-15752256+864000*
n-11880*n^2)*p3^2*p1+11/6*(-20040888+891990*n-6534*n^2)*p3*p2^2+11/12*(634392-\
4752*n)*p2^3*p1+11*(1621126056-261605353*n+38114083/3*n^2-209220*n^3+2420/3*n^4
)*p4*p1+22/3*(2470812256-809357591/2*n+79450767/4*n^2-643357/2*n^3+3993/4*n^4)*
p3*p2+22/3*(-246921952+26808042*n-844272*n^2+8470*n^3)*p3*p1^2+11/2*(-331938144
+34632854*n-914826*n^2+4356*n^3)*p2^2*p1+11/3*(21526384-1315512*n+17424*n^2)*p2
*p1^3+22*(6609220992-4605113467/2*n+3046463225/12*n^2-11060709*n^3+2170135/12*n
^4-1331/2*n^5)*p2*p1+22/3*(82831518-6024081*n+110691*n^2-462*n^3)*p6*p1+19360*
p7*p4+20328*p6*p5+22/5*(2670-20*n)*p10*p1-550*p4^2*p3+14520*p9*p2+11/6*(19404-\
216*n)*p8*p3+11/2*(1064844-28992*n+144*n^2)*p8*p1+22/7*(2066680-48048*n)*p7*p2+
22/7*(-32704+448*n)*p7*p1^2+22/9*(3366594-115101*n+693*n^2)*p6*p3+11/5*(3287900
-85800*n)*p5*p4+11/8*(-106800+800*n)*p4^2*p1-1056*p5*p3^2+4840*p4*p3*p1^2-\
143748*p5*p2^2+44*p10*p3+11616*p3^2*p2*p1-704*p7*p3*p1-924*p6*p3*p2-616*p13+44*
(-3962649600+112808204013/20*n-138785387837/60*n^2+273187155803/720*n^3-\
1347849701/48*n^4+683505647/720*n^5-1036849/80*n^6+14641/360*n^7)*p1+44/7*(-\
655220566+219028810/3*n-2290134*n^2+57596/3*n^3)*p7+22/81*(-533088+14256*n)*p3^
3+11/30*(-710512+19360*n)*p1^5+44/3*(-17826393312+545660965769/60*n-22514491009
/15*n^2+4958329541/48*n^3-147408371/48*n^4+2719233/80*n^5-14641/240*n^6)*p3+22/
3*(-1306095552+911730562/3*n-21746428*n^2+1752806/3*n^3-5324*n^4)*p1^3+4*(-\
122122+1716*n)*p11+44/5*(-7258723472+10188836735/6*n-505273175/4*n^2+21351055/6
*n^3-126445/4*n^4)*p5+44/9*(-16762746+805365*n-7425*n^2)*p9
[11, 3, 2]
-1584*p5*p3*p2*p1-1386*p6*p2^2*p1-1056*p7*p2*p1^2-825*p4^2*p2*p1-156816*p3*p2^3
-348480*p4*p3*p1^2-111804*p6*p1^3+13068*p5^2*p1+25872*p6*p3*p2+25410*p6*p4*p1+
17424*p7*p2^2+27456*p7*p3*p1+14520*p9*p1^2+33/8*(14520-144*n)*p8*p2*p1+3300*p4^
2*p3+6336*p5*p3^2+21780*p5*p4*p2+11/6*(-284256+3168*n)*p3^2*p2*p1+22/5*(3119460
-57780*n+180*n^2)*p5*p3*p1+33/4*(231007320-40700068/3*n+234620*n^2-4400/3*n^3)*
p4*p2*p1+11/2*(-20090848+800976*n-7392*n^2)*p3*p2*p1^2+11/2*(3137148-83916*n+
588*n^2)*p6*p2*p1+33/10*(-185920+2640*n)*p5*p2*p1^2+11/4*(4630320-73920*n)*p4*
p3*p2+33/16*(-328160+5280*n)*p4*p2^2*p1-264*p10*p3-792*p11*p2-858*p12*p1+11/3*(
-199980+1980*n)*p9*p2+11/4*(-182160+864*n)*p8*p3+33/5*(-119980+1385*n-5*n^2)*
p10*p1+33/5*(145717520-8253640*n+127660*n^2-660*n^3)*p5*p1^2+33/7*(-37041312+
1207976*n-8624*n^2)*p7*p2+11/3*(-42564060+1183896*n-5544*n^2)*p6*p3+33/20*(
4584360-87120*n)*p5*p2^2+33/16*(3188800-55400*n+200*n^2)*p4^2*p1+7260*p4*p2*p1^
3+17424*p3*p2^2*p1^2+3267*p2^4*p1+489808*p3*p1^4-5324*p2*p1^5+33/10*(-46315500+
1204500*n-3300*n^2)*p5*p4+11/2*(-2314520340+178370756*n-3604260*n^2+19360*n^3)*
p4*p3+33/4*(-22380468+788286*n-8058*n^2+36*n^3)*p8*p1+33/7*(1604624-31024*n+112
*n^2)*p7*p1^2+11*(-1239240420+102258940*n-5048547/2*n^2+25613*n^3-231/2*n^4)*p6
*p1+33/5*(-1988762820+159401880*n-3561140*n^2+24200*n^3)*p5*p2+11/4*(-12000120+
365640*n-1320*n^2)*p4*p1^3+11/4*(331611672-18392880*n+243936*n^2)*p3*p2^2+11/3*
(246443628-13470696*n+193824*n^2-792*n^3)*p3^2*p1+11/8*(1364880-34848*n)*p2^2*
p1^3+11/8*(-29576688+1328976*n-14256*n^2)*p2^3*p1+11*(3566481416-444384208*n+
17231656*n^2-260436*n^3+1452*n^4)*p3*p1^2+33/4*(4714489264-1783770412/3*n+
23934700*n^2-1179860/3*n^3+2420*n^4)*p2^2*p1+11/2*(-450670464+40395432*n-\
1081256*n^2+9680*n^3)*p2*p1^3+66/5*(81876074280-39608913025/2*n+6196349995/4*n^
2-49168020*n^3+2619045/4*n^4-6655/2*n^5)*p5+11*(-29316651144+5054095284*n-\
272741788*n^2+5681192*n^3-42592*n^4)*p3*p2+33/2*(-19989591776+3478792264*n-\
578389711/3*n^2+13065007/3*n^3-133925/3*n^4+605/3*n^5)*p4*p1+66/7*(8071373310-\
925515360*n+31407068*n^2-378994*n^3+1694*n^4)*p7+22*(187210033920-196215057487/
2*n+1007542442869/60*n^2-1224137211*n^3+493462079/12*n^4-1268443/2*n^5+58564/15
*n^6)*p3+33*(-72363844800+159175098461/6*n-570881607107/180*n^2+970649305/6*n^3
-139057237/36*n^4+44407*n^5-9317/45*n^6)*p2*p1+11/20*(29572400-1340680*n+4840*n
^2)*p1^5+6*(1771770-24090*n+66*n^2)*p11+66*(39626496000-24081744869417/420*n+
8703481608361/360*n^2-2981611355171/720*n^3+475682715899/1440*n^4-9393194393/
720*n^5+23465651/90*n^6-815903/315*n^7+14641/1440*n^8)*p1+11*(15757018560-\
4084900887*n+692997999/2*n^2-12462230*n^3+405713/2*n^4-1331*n^5)*p1^3+22/3*(
226215990-10937025*n+126720*n^2-495*n^3)*p9+11/27*(4432320-57024*n)*p3^3+66*p10
*p2*p1-435600*p7*p4-457380*p6*p5+13860*p13
[11, 2, 2, 2]
82368*p7*p2*p1^2+87120*p5*p4*p1^2+16632*p6*p2^2*p1+81312*p6*p3*p1^2+9900*p4^2*
p2*p1+19008*p5*p3*p2*p1-209088*p7*p2^2-1329152*p7*p3*p1-42240*p5*p3^2-261360*p5
*p4*p2-731808*p5^2*p1-784080*p3*p2^2*p1^2-280896*p6*p3*p2-1422960*p6*p4*p1-\
22000*p4^2*p3+1812096*p3*p2^3+33*(-47916+216*n)*p8*p2*p1+23232*p3*p2*p1^4+66*(-\
760668864+48379679*n-761905*n^2+1870*n^3)*p4*p2*p1+132/5*(1414080-25740*n)*p5*
p2*p1^2+22*(1642960-29040*n)*p4*p3*p1^2+33/2*(971400-7920*n)*p4*p2^2*p1+11*(-\
126260+1320*n)*p4*p2*p1^3+44/3*(976032-4752*n)*p3^2*p2*p1+44*(-12040518+290871*
n-819*n^2)*p6*p2*p1+176/5*(-14353660+317100*n-180*n^2)*p5*p3*p1-39204*p2^4*p1+
4356*p2^3*p1^3-3168*p11*p1^2+9504*p11*p2+48048*p12*p1+88/3*(-83160+990*n)*p9*p1
^2+22*(413160-720*n)*p8*p3+11*(8052-72*n)*p8*p1^3+88/3*(403920-2970*n)*p9*p2+
1760*p10*p3+264/5*(667860-8625*n+5*n^2)*p10*p1+88*p10*p1^3+66/5*(-9163440+
130680*n)*p5*p2^2+22/5*(-156880+2640*n)*p5*p1^4+88*(3785244540-352022314*n+
19102503/2*n^2-81053*n^3+231/2*n^4)*p6*p1+264/5*(4766883880-366151665*n+7039890
*n^2-30855*n^3)*p5*p2+44/9*(-140544+1584*n)*p3^2*p1^3+44/3*(1622082-44835*n+231
*n^2)*p6*p1^3+132/5*(119504000-3006300*n+3300*n^2)*p5*p4-21296/3*p1^7+9292800*
p7*p4-1408*p7*p1^4+9757440*p6*p5-1848*p6*p2*p1^3-2112*p5*p3*p1^3+22*(-9744920+
100320*n)*p4*p3*p2+66*(90122076-3757014*n+34050*n^2-36*n^3)*p8*p1+264/7*(
87524668-2483712*n+12012*n^2)*p7*p2+264/7*(-13002724+459928*n-3500*n^2)*p7*p1^2
+88/3*(106532580-2668722*n+5082*n^2)*p6*p3+33/2*(-15441600+345000*n-200*n^2)*p4
^2*p1+44*(5640318640-1272594050/3*n+7490890*n^2-55660/3*n^3)*p4*p3+22*(
101422288-18846089/3*n+105325*n^2-1210/3*n^3)*p4*p1^3+88/3*(-838971092+52084728
*n-759840*n^2+792*n^3)*p3^2*p1+22*(-759618160+36523212*n-335412*n^2)*p3*p2^2+
264/5*(-664108000+50993295*n-1131740*n^2+7315*n^3)*p5*p1^2+22/3*(-12644816+
582912*n-5808*n^2)*p3*p1^4+11*(90138672-3549150*n+20790*n^2)*p2^3*p1+528*(-\
79252992000+6964176802717/60*n-17924264252309/360*n^2+417589625015/48*n^3-\
113248506511/160*n^4+6780678817/240*n^5-65834527/120*n^6+9317/2*n^7-14641/1440*
n^8)*p1+66*(-12618052944+1696362989*n-140270269/2*n^2+1008007*n^3-6171/2*n^4)*
p2^2*p1+88*(-11027713504+4893126446/3*n-156707687/2*n^2+4376218/3*n^3-17545/2*n
^4)*p3*p1^2+264*(159206918400-3637439287411/60*n+227286781103/30*n^2-6451782305
/16*n^3+464284601/48*n^4-22997381/240*n^5+54571/240*n^6)*p2*p1+44*(1909954192-\
1368601595/6*n+34687389/4*n^2-701437/6*n^3+1331/4*n^4)*p2*p1^3+44*(103709552-\
5253336*n+58212*n^2)*p3*p2*p1^2+88*(67011710656-34497542641/3*n+590936115*n^2-\
31342025/3*n^3+49247*n^4)*p3*p2+11*(-11161168+410586*n-2178*n^2)*p2^2*p1^3+11/5
*(1113200-29040*n)*p2*p1^5+132*(50086063632-28049593408/3*n+562102670*n^2-\
13360739*n^3+117040*n^4-605/3*n^5)*p4*p1+48*(-4644640+60126*n-66*n^2)*p11+528/7
*(-19181081920+6557637394/3*n-70165942*n^2+2048354/3*n^3-1694*n^4)*p7+88*(-\
39854545920+234846407679/20*n-214835463841/180*n^2+870813361/16*n^3-168138575/
144*n^4+837199/80*n^5-14641/720*n^6)*p1^3+22/5*(-272005840+84469220/3*n-900240*
n^2+26620/3*n^3)*p1^5+176/3*(-569609040+26836920*n-260865*n^2+495*n^3)*p9+528/5
*(-182329827680+133183335340/3*n-6847966125/2*n^2+609681325/6*n^3-2197965/2*n^4
+6655/2*n^5)*p5+88/27*(-9443520+47520*n)*p3^3+176*(-392312269440+415983467319/2
*n-643350066025/18*n^2+20487686747/8*n^3-5783269657/72*n^4+8160361/8*n^5-278179
/72*n^6)*p3-792*p10*p2*p1-1100*p4^2*p1^3+9680*p4*p1^5-295680*p13
[10, 5]
-100*p9*p1^2-700*p6*p4*p1-900*p5*p4*p2-1000*p4^2*p3+1800*p5*p2*p1^2+1400*p6*p1^
3+4500*p4*p2^2*p1+6000*p4*p3*p1^2-288000*p5*p3*p1+25/12*(-211920+4320*n)*p4*p3*
p2+25/4*(-11035344+493600*n-4800*n^2)*p4*p2*p1+25/6*(490320-5760*n)*p3*p2*p1^2+
25/6*(-67200+504*n)*p6*p2*p1-160000/3*p3^3+50*p9*p4+25/9*(6120-54*n)*p9*p2+25/9
*(-11908800+432000*n)*p3^2*p1+25/14*(18760-224*n)*p7*p4-8000*p3*p1^4-9000*p2^2*
p1^3+13200*p10*p1+25/3*(72861264-5072606*n+78036*n^2-70*n^3)*p6*p1+5*(-6250060+
230360*n-600*n^2)*p5*p1^2+5*(130168640-9899260*n+200760*n^2-1050*n^3)*p5*p2+25/
6*(156752560-11884384*n+231480*n^2-1000*n^3)*p4*p3+25/4*(959040-21600*n)*p8*p1+
25/7*(1935920-59500*n+336*n^2)*p7*p2+25/9*(2507400-65520*n)*p6*p3+25/7*(-38920+
224*n)*p7*p1^2+5/2*(3099460-104360*n+600*n^2)*p5*p4+25/16*(-155520+3200*n)*p4^2
*p1+5/4*(-136800+2160*n)*p5*p2^2+25/2*(1422782304-681010184/3*n+32277040/3*n^2-\
507400/3*n^3+2000/3*n^4)*p4*p1+25/3*(2182762760-358518590*n+17987736*n^2-323810
*n^3+1800*n^4)*p3*p2+25/3*(-214940200+21783944*n-526440*n^2+1200*n^3)*p3*p1^2+
25/6*(20259632-1199800*n+12000*n^2)*p2*p1^3+25/4*(-299352000+32035112*n-935760*
n^2+7800*n^3)*p2^2*p1+50/11*(-110110+1716*n)*p11+50/3*(-15686012160+24018800798
/3*n-1324625079*n^2+276619957/3*n^3-8596975/3*n^4+37575*n^5-500/3*n^6)*p3+25/24
*(691200-12960*n)*p2^3*p1+25/12*(380560-8000*n)*p4*p1^3+25*(5811241536-\
6069957130/3*n+669988868/3*n^2-29554610/3*n^3+518800/3*n^4-1000*n^5)*p2*p1+50*(
-3487131648+4964196800*n-18330773998/9*n^2+3012315487/9*n^3-224533570/9*n^4+
7795600/9*n^5-118000/9*n^6+625/9*n^7)*p1+25/12*(-17623200+822960*n-8640*n^2)*p3
*p2^2+25/3*(-1141451712+784528202/3*n-53292820/3*n^2+1193650/3*n^3-5000/3*n^4)*
p1^3+10*(-6389222840+8967161905/6*n-336584410/3*n^2+19941335/6*n^3-112025/3*n^4
+125*n^5)*p5+5/12*(-992800+32000*n)*p1^5+50/9*(-14744730+1456347/2*n-7461*n^2+
15/2*n^3)*p9+50/7*(-576265690+193125317/3*n-6269242/3*n^2+62797/3*n^3-140/3*n^4
)*p7+18000*p8*p3+21000*p6*p5-700*p13
[10, 4, 2]
-1120*p6*p3*p1^2-1600*p4*p3^2*p1-1440*p5*p3*p2*p1+7200*p5*p4*p2+14400*p5^2*p1-\
216000*p4*p2^2*p1+16800*p6*p3*p2+33600*p6*p4*p1+21600*p8*p2*p1+18000*p4^2*p3-\
36000*p3*p2^3+19200*p5*p3^2+80/21*(15750-168*n)*p7*p3*p1+20/3*(1872360-37296*n)
*p6*p2*p1+10*(177394560-9989760*n+129600*n^2)*p4*p2*p1+16/3*(3149145-88170*n+
450*n^2)*p5*p3*p1+4*(-83160+720*n)*p5*p2*p1^2+10/3*(3268800-56160*n)*p4*p3*p2+
10/3*(-189120+3360*n)*p4*p3*p1^2+20/9*(-245880+4320*n)*p3^2*p2*p1+40/9*(4158-36
*n)*p9*p1^2+10/3*(-220680+2160*n)*p8*p3+20/7*(-205800+1120*n)*p7*p4-400*p9*p4-\
1040*p12*p1+8*(-110220+1540*n)*p10*p1+40/9*(-83790+216*n)*p9*p2+5/2*(3093600-\
72000*n)*p4^2*p1+40/9*(-38036754+1278900*n-6300*n^2)*p6*p3+20/9*(-66024+1008*n)
*p6*p1^3+2*(1731600-8640*n)*p5*p2^2+20*(-16658379012+2943688200*n-164573240*n^2
+3490640*n^3-24400*n^4)*p4*p1+40/3*(-23900431116+4078451720*n-210274524*n^2+
3663840*n^3-14220*n^4)*p3*p2+10/3*(223693560-10538640*n+88560*n^2)*p3*p2^2+10/9
*(716400-21120*n)*p3*p1^4+5/3*(-13586400+354240*n)*p2^3*p1+5/3*(565920-8640*n)*
p2^2*p1^3+40/3*(-1048275996+90696816*n-2226588*n^2+15624*n^3)*p6*p1+8*(-\
1550863650+119064140*n-2147220*n^2+4080*n^3)*p5*p2+8*(129183330-8266640*n+
143660*n^2-600*n^3)*p5*p1^2+40/9*(218590380-13944636*n+250380*n^2-1200*n^3)*p3^
2*p1-504000*p6*p5+10*(-19529712+767760*n-6480*n^2)*p8*p1+40/7*(-25063500+674240
*n-1344*n^2)*p7*p2+40/7*(1516620-42392*n+224*n^2)*p7*p1^2+20/3*(-15495576+
665520*n-6480*n^2)*p3*p2*p1^2+4*(-40242300+1223800*n-3000*n^2)*p5*p4-880*p10*p3
+20/3*(-1929466260+156834880*n-3310680*n^2+14640*n^3)*p4*p3+10/3*(-11718240+
515680*n-4800*n^2)*p4*p1^3+80*(32691859200-992969499056/21*n+59729219012/3*n^2-\
3394328630*n^3+798625766/3*n^4-9924630*n^5+497750/3*n^6-20500/21*n^7)*p1+40/3*(
3046629756-398281064*n+16490524*n^2-259200*n^3+1300*n^4)*p3*p1^2+10*(3754916040
-453174528*n+15777360*n^2-162720*n^3)*p2^2*p1+40*(-59844430584+21935044868*n-\
2603272040*n^2+127675696*n^3-2628340*n^4+18600*n^5)*p2*p1+20/3*(-380392896+
35236352*n-949680*n^2+7200*n^3)*p2*p1^3+40/81*(5329800-129600*n)*p3^3+16*(
67505488050-16350200740*n+3805477460/3*n^2-37874320*n^3+1136620/3*n^4-400*n^5)*
p5+80*p9*p3*p1+80/3*(154491344280-80845401992*n+41306080088/3*n^2-984328022*n^3
+92317078/3*n^4-371330*n^5+950*n^6)*p3+2/3*(30068400-1968800*n+32000*n^2)*p1^5+
80/9*(189008820-9646644*n+97128*n^2-24*n^3)*p9+80/7*(6655608960-775225864*n+
77317688/3*n^2-239792*n^3+448/3*n^4)*p7+40/3*(13244303736-3501258684*n+
917997872/3*n^2-11331080*n^3+544900/3*n^4-1000*n^5)*p1^3+6400*p3^2*p1^3+7200*p3
*p2^2*p1^2+16800*p13+80/11*(1561560-24024*n)*p11
[10, 3, 3]
-1260*p6*p2^2*p1-1620*p5*p2^3-1800*p4*p3*p2^2-46800*p4*p3*p1^2-225720*p5*p2*p1^
2-7560*p6*p1^3+32400*p8*p2*p1+540*p9*p1^2+62100*p5*p4*p2+50400*p6*p3*p2+6300*p6
*p4*p1-288000*p3^2*p2*p1+9000*p4^2*p3+7200*p3*p2^2*p1^2+1440000*p3^3+15*(-\
4395480+116160*n-480*n^2)*p3*p2*p1^2+45/8*(-132960+1600*n)*p4*p2^2*p1+6739200*
p5*p3*p1+45/2*(77499720-4515920*n+78640*n^2-400*n^3)*p4*p2*p1+15*(953400-19572*
n+84*n^2)*p6*p2*p1+15/2*(2560200-63120*n+240*n^2)*p4*p3*p2+8100*p2^4*p1+90*p9*
p2^2-450*p9*p4-2160*p11*p2+10*(-136890+2097*n-9*n^2)*p9*p2+45/7*(-102900+560*n)
*p7*p4+45/14*(21000-224*n)*p7*p2^2+45/8*(772800-8000*n)*p4^2*p1+45/2*(-5808960+
136080*n-720*n^2)*p8*p1+90/7*(192780-336*n)*p7*p1^2+10*(-16512300+461160*n-2520
*n^2)*p6*p3+43200*p3*p1^4-486000*p8*p3+45*(-6915602880+3552785900/3*n-192311450
/3*n^2+4262710/3*n^3-43390/3*n^4+50*n^5)*p4*p1+10*(68911200-2721600*n+14400*n^2
)*p3^2*p1+9*(-19438650+614900*n-4500*n^2)*p5*p4+9/2*(3184260-110240*n+960*n^2)*
p5*p2^2+90/7*(-18133164+799890*n-11018*n^2+56*n^3)*p7*p2+45/2*(1677902544-\
662609012/3*n+29741186/3*n^2-600820/3*n^3+4870/3*n^4)*p2^2*p1+30*(-394301208+
29600697*n-1224027/2*n^2+4767*n^3-21/2*n^4)*p6*p1+18*(-807578550+75019610*n-\
4647985/2*n^2+31755*n^3-345/2*n^4)*p5*p2+15*(-879717000+72278280*n-1733310*n^2+
15620*n^3-30*n^4)*p4*p3+18*(33069090-1209540*n+6900*n^2)*p5*p1^2+15*(-111188448
+7879380*n-150020*n^2+800*n^3)*p2*p1^3+5/4*(-405360+8640*n)*p3*p2^3+15/2*(
155442480-11312304*n+270000*n^2-2240*n^3)*p3*p2^2+30*(1067119740-114711276*n+
3315000*n^2-28440*n^3+60*n^4)*p3*p1^2+30*(-10987406172+2016673285*n-249126191/2
*n^2+3484241*n^3-98225/2*n^4+290*n^5)*p3*p2+15/2*(-1566120+15200*n)*p4*p1^3+15/
4*(-12780432+674160*n-9360*n^2)*p2^3*p1+36*(30108978900-30132300205/4*n+
5058931715/8*n^2-46882485/2*n^3+3498775/8*n^4-17345/4*n^5+75/4*n^6)*p5+15/4*(
240240-3200*n)*p2^2*p1^3+180/7*(3034246215-738425121/2*n+57456511/4*n^2-480613/
2*n^3+8057/4*n^4-7*n^5)*p7+90*(-26031470112+28813844363/3*n-7021777601/6*n^2+
188575205/3*n^3-10211177/6*n^4+74240/3*n^5-475/3*n^6)*p2*p1+180*(14529715200-\
63275602304/3*n+26920159355/3*n^2-4701871988/3*n^3+1561990381/12*n^4-16776842/3
*n^5+793685/6*n^6-1750*n^7+125/12*n^8)*p1+180/11*(765765-12078*n+66*n^2)*p11+3/
2*(3409200-48000*n)*p1^5+20*(89324235-19029933/4*n+586503/8*n^2-2043/4*n^3+9/8*
n^4)*p9+60*(68474689920-36470016139*n+6463505561*n^2-2026636561/4*n^3+79297587/
4*n^4-1675263/4*n^5+19465/4*n^6-25*n^7)*p3+30*(5193728928-1247144241*n+
183771515/2*n^2-2572235*n^3+56005/2*n^4-100*n^5)*p1^3-308880*p10*p1-567000*p6*
p5+18900*p13
[10, 3, 2, 2]
120*p9*p2*p1^2-360*p9*p2^2-960*p9*p3*p1-2640*p10*p2*p1-1440*p11*p1^2+55440*p6*
p2^2*p1+47040*p6*p3*p1^2+21600*p8*p1^3+7200*p4*p3*p2^2+19200*p4*p3^2*p1+30000*
p4^2*p2*p1+74880*p5*p3*p2*p1+36000*p5*p4*p1^2+43680*p12*p1+10560*p10*p3+3600*p9
*p4-739200*p6*p3*p2-1226400*p6*p4*p1-604800*p5^2*p1+5*(-164640+2400*n)*p4*p2*p1
^3+20*(-26182716+794430*n-5670*n^2)*p6*p2*p1+12*(2452690-59230*n+390*n^2)*p5*p2
*p1^2+10*(-31590000+598200*n-600*n^2)*p4*p3*p2+15*(-144240+1440*n)*p8*p2*p1+80/
7*(-130200+672*n)*p7*p3*p1+60/7*(11620-112*n)*p7*p2*p1^2-230400*p5*p3^2+15/2*(
2962880-52800*n)*p4*p2^2*p1-640800*p5*p4*p2+30*(-1564160440+318267040/3*n-\
2123400*n^2+41000/3*n^3)*p4*p2*p1+10*(2349840-39000*n+120*n^2)*p4*p3*p1^2-\
192000*p4^2*p3+30/7*(-130200+672*n)*p7*p2^2+60/7*(1457400-3360*n)*p7*p4+24*(
1256420-17875*n+55*n^2)*p10*p1+40/3*(1402200-30825/2*n+45/2*n^2)*p9*p2+40/3*(-\
99468+2205/2*n-9/2*n^2)*p9*p1^2+10*(1401120-8640*n)*p8*p3+120/7*(230249712-\
8146985*n+68425*n^2-140*n^3)*p7*p2+40/3*(270486216-8344980*n+44100*n^2)*p6*p3+
24*(-1146226580+167264585/2*n-3781915/2*n^2+17670*n^3-75*n^4)*p5*p1^2+20*(
12975119040-1069281260*n+23638920*n^2-145960*n^3+60*n^4)*p4*p3+10*(137882880-\
7356600*n+110160*n^2-600*n^3)*p4*p1^3+23040*p11*p2+12096000*p6*p5-1680*p6*p2*p1
^3+6480*p5*p2^3-2160*p5*p2^2*p1^2-2400*p4*p3*p2*p1^2-144000*p5*p1^4+10800*p2^3*
p1^3+16*(-28681980+736080*n-3600*n^2)*p5*p3*p1+40*(-81759701376+23327585202*n-\
2279743319*n^2+100919143*n^3-2232400*n^4+25075*n^5-125*n^6)*p1^3+40/27*(-\
31687200+518400*n)*p3^3+48*(-401875874400+201687353065/2*n-32994878435/4*n^2+
275958955*n^3-15657855/4*n^4+45745/2*n^5-75/2*n^6)*p5+80*(-861349507200+
462781303270*n-245371299044/3*n^2+12399298381/2*n^3-1309494169/6*n^4+7169043/2*
n^5-154495/6*n^6+50*n^7)*p3+2*(-340522400+28300500*n-664100*n^2+4000*n^3)*p1^5-\
268800*p3^2*p1^3+9600*p3*p2*p1^4-140400*p2^4*p1+12*(294711900-8607900*n+31500*n
^2)*p5*p4+60*(105913209328-19893972270*n+3676934290/3*n^2-95371840/3*n^3+
1119380/3*n^4-5300/3*n^5)*p4*p1+120*(345192027264-396944072054/3*n+151342427251
/9*n^2-2798906137/3*n^3+224542546/9*n^4-331335*n^5+16975/9*n^6)*p2*p1+20*(
3291499392-370136372*n+13812584*n^2-216860*n^3+1400*n^4)*p2*p1^3+30*(-\
26606632960+11042663032/3*n-166851260*n^2+9467840/3*n^3-23180*n^4)*p2^2*p1+240*
(-174356582400+768114005984/3*n-995662589926/9*n^2+176644253860/9*n^3-\
29606787361/18*n^4+627084412/9*n^5-13867805/9*n^6+160000/9*n^7-1625/18*n^8)*p1+
40*(-21482919920+3084873220*n-146934925*n^2+2991098*n^3-27685*n^4+100*n^5)*p3*
p1^2+40*(149070416640-26872695690*n+1530497600*n^2-34267220*n^3+302750*n^4-680*
n^5)*p3*p2+5/3*(2771280-25920*n)*p3*p2^3+5*(212685216-11012040*n+145800*n^2)*p2
^3*p1+40/3*(-1698996720+111151044*n-2075220*n^2+12000*n^3)*p3^2*p1+40*(
7686766836-720361957*n+20875176*n^2-238406*n^3+1071*n^4)*p6*p1+24*(11095534200-\
1888001505/2*n+45570005/2*n^2-183820*n^3+420*n^4)*p5*p2+30*(174217008-7453140*n
+87180*n^2-360*n^3)*p8*p1+120/7*(-19092332+626997*n-6125*n^2+28*n^3)*p7*p1^2+6*
(-30199980+695580*n-2700*n^2)*p5*p2^2+20/3*(1570464-30870*n+126*n^2)*p6*p1^3+20
/3*(2916720-46080*n)*p3^2*p2*p1+5*(-230160+2880*n)*p3*p2^2*p1^2+15/2*(-29612800
+698000*n-2000*n^2)*p4^2*p1+80/3*(-1342701360+139570029/2*n-3478743/4*n^2+7047/
2*n^3-9/4*n^4)*p9+5*(-17160192+733080*n-8280*n^2)*p2^2*p1^3+240/11*(-12012000+
180675*n-495*n^2)*p11+10*(-1939684080+116466972*n-1850460*n^2+6000*n^3)*p3*p2^2
+10/3*(-12239520+391200*n-1440*n^2)*p3*p1^4+(816400-16000*n)*p2*p1^5+240/7*(-\
43094251200+5202460620*n-375136741/2*n^2+2411913*n^3-23793/2*n^4+14*n^5)*p7+20*
(181686184-9743862*n+152550*n^2-760*n^3)*p3*p2*p1^2-403200*p13
[10, 2, 2, 2, 2]
-3744000*p5*p4*p1^2-1270080*p6*p2^2*p1-3673600*p6*p3*p1^2-1612800*p5*p3*p2*p1-\
77760*p5*p2^3-86400*p4*p3*p2^2-256000*p4*p3^2*p1-720000*p4^2*p2*p1+3072000*p5*
p3^2+11836800*p5*p4*p2+24192000*p5^2*p1+13171200*p6*p3*p2+47510400*p6*p4*p1+
2272000*p4^2*p3+240*(270360-2160*n)*p8*p2*p1+1280/7*(265300-560*n)*p7*p3*p1+160
*(40009700-627960*n+360*n^2)*p4*p3*p2+160*(-7757720+168440*n-120*n^2)*p4*p3*p1^
2+960/7*(-34230+168*n)*p7*p2*p1^2+80/3*(-78420+720*n)*p3*p2*p1^4+80*(870560-\
15600*n)*p4*p2*p1^3+320/3*(-5029800+57600*n)*p3^2*p2*p1+80*(545400-4320*n)*p3*
p2^2*p1^2+320*(-398320600+24206728*n-376920*n^2+960*n^3)*p3*p2*p1^2+320*(
49064694-1459206*n+7686*n^2)*p6*p2*p1+256*(55981450-1452500*n+3300*n^2)*p5*p3*
p1+640/3*(429417-12033/2*n+9/2*n^2)*p9*p1^2+160*(-1772400+7200*n)*p8*p3+80*(-\
58440+720*n)*p8*p1^3+384*(-2783330+40535*n-55*n^2)*p10*p1+640/3*(-1828665+36207
/2*n-27/2*n^2)*p9*p2+960/7*(-1970150+1960*n)*p7*p4+480/7*(148050-504*n)*p7*p2^2
+160/7*(6370-56*n)*p7*p1^4+320/9*(894600-14400*n)*p3^2*p1^3+192*(-399345275+
11170150*n-24750*n^2)*p5*p4+1920/7*(-306500824+10254335*n-71799*n^2+84*n^3)*p7*
p2+1920/7*(53384548-2196873*n+21301*n^2-28*n^3)*p7*p1^2+640/3*(-361174380+
10394580*n-37380*n^2)*p6*p3+12800*p3*p1^6+2980800*p2^4*p1-547200*p2^3*p1^3+
14400*p2^2*p1^5-274176000*p6*p5+174720*p6*p2*p1^3-2240*p6*p1^5+120*(-5129760+
75600*n)*p4*p2^2*p1+153600*p5*p3*p1^3+192*(-7108335+176100*n-540*n^2)*p5*p2*p1^
2+32*(1109665-30590*n+150*n^2)*p5*p1^4+96*(38727585-783450*n+1890*n^2)*p5*p2^2+
480*(-317343000+14715300*n-159180*n^2+360*n^3)*p8*p1+320/3*(-8239434+289002*n-\
2226*n^2)*p6*p1^3+8*(-117200+2000*n)*p4*p1^5+80/3*(-3072060+19440*n)*p3*p2^3+
640/3*(2757585800-192088620*n+3434700*n^2-11200*n^3)*p3^2*p1+120*(59312800-\
1502000*n+2000*n^2)*p4^2*p1+384*(-14230320925+2391408925/2*n-26976300*n^2+
176535*n^3-495/2*n^4)*p5*p2+384*(2249309245-387895345/2*n+10175495/2*n^2-44570*
n^3+75*n^4)*p5*p1^2+320*(-16659182700+4065218690/3*n-27600540*n^2+360700/3*n^3-\
30*n^4)*p4*p3+160*(-394826040+86480480/3*n-621360*n^2+11800/3*n^3)*p4*p1^3+640*
(-11533949154+1167019910*n-71295021/2*n^2+372085*n^3-2121/2*n^4)*p6*p1+3840*(
185253868800-825476453624/3*n+120893379807*n^2-196991178463/9*n^3+67540047667/
36*n^4-730141066/9*n^5+32366555/18*n^6-175375/9*n^7+2875/36*n^8)*p1+320*(-\
6152302840+2487028708/3*n-37640774*n^2+2058080/3*n^3-4150*n^4)*p2*p1^3+640*(-\
179825363572+97941751495/3*n-3655387333/2*n^2+113754347/3*n^3-542435/2*n^4+390*
n^5)*p3*p2+16*(-7420780+335200*n-3000*n^2)*p2*p1^5+640*(32172573724-15532935614
/3*n+839462653/3*n^2-18760474/3*n^3+161975/3*n^4-100*n^5)*p3*p1^2+160*(
2506495180-142418694*n+1922670*n^2-3960*n^3)*p3*p2^2+480*(36429867496-\
5342712256*n+252042728*n^2-4580920*n^3+26640*n^4)*p2^2*p1+960*(-136185777640+
81008647570/3*n-5292995350/3*n^2+47474370*n^3-1555040/3*n^4+5150/3*n^5)*p4*p1+
80*(-351254052+17624520*n-192240*n^2)*p2^3*p1+160/3*(60021380-3586586*n+57570*n
^2-200*n^3)*p3*p1^4+480*(2528032880-181887480*n+3536560*n^2-16600*n^3)*p4*p2*p1
+3840/11*(16676660-240669*n+429*n^2)*p11+3840/7*(53860166360-39069656759/6*n+
2737199129/12*n^2-15720481/6*n^3+117355/12*n^4-7*n^5)*p7+1920*(-398475399096+
473900031257/3*n-125338936229/6*n^2+1207824668*n^3-66062249/2*n^4+1245715/3*n^5
-5600/3*n^6)*p2*p1+768*(471455134150-1435078704865/12*n+234336318265/24*n^2-\
948480845/3*n^3+96704045/24*n^4-73045/4*n^5+75/4*n^6)*p5+80*(53575828-2687880*n
+29880*n^2)*p2^2*p1^3-1747200*p12*p1-7040*p10*p1^3+149760*p11*p1^2-449280*p11*
p2-140800*p10*p3+4320*p9*p2^2-33600*p9*p4+80000*p4^2*p1^3+57600*p4*p3*p2*p1^2+
51840*p5*p2^2*p1^2+32*(1010252680-372494480/3*n+15531250/3*n^2-254500/3*n^3+
1250/3*n^4)*p1^5+16/21*(868700-28000*n)*p1^7-2880*p9*p2*p1^2+640/27*(38502000-\
432000*n)*p3^3+12800*p9*p3*p1+63360*p10*p2*p1+1280/3*(1782190410-364461843/4*n+
8227647/8*n^2-11985/4*n^3+9/8*n^4)*p9+160*p9*p1^4+640*(104845830264-98482063073
/3*n+65261328295/18*n^2-185892228*n^3+85805755/18*n^4-175675/3*n^5+2375/9*n^6)*
p1^3+1280*(954916751880-1559168204471/3*n+834232393220/9*n^2-28013770389/4*n^3+
8594567495/36*n^4-42648409/12*n^5+728585/36*n^6-25*n^7)*p3-2880*p5*p2*p1^4-3200
*p4*p3*p1^4+9139200*p13
[9, 6]
-324*p8*p2*p1+6804*p5*p2*p1^2+524880*p4*p1^3+2592*p3^2*p2*p1-432*p5*p3^2-810*p5
*p4*p2-648*p5^2*p1+54*p8*p5+9/2*(501480-7776*n)*p3*p2*p1^2-145800*p4^2*p1+18/5*
(-102360+1800*n)*p5*p3*p1+9/2*(-75600+504*n)*p6*p2*p1-116640*p7*p1^2+9/4*(9240-\
96*n)*p8*p3+3*(-11811384+538704*n-6048*n^2)*p3^2*p1+27/4*(-274867968+28986360*n
-786600*n^2+3888*n^3)*p2^2*p1+27/20*(-145560+1620*n)*p5*p2^2+9/5*(16380-210*n)*
p6*p5+17820*p9*p2+14256*p10*p1+19440*p7*p4+4860*p4*p2^2*p1-17496*p2^2*p1^3-\
1259712/5*p1^5+27/10*(2701860-83600*n+450*n^2)*p5*p4+3*(2453220-78750*n+504*n^2
)*p6*p3+27/4*(896000-21904*n+48*n^2)*p8*p1+27/7*(1781640-45360*n)*p7*p2+9*(
67589424-4807320*n+84756*n^2-252*n^3)*p6*p1+27/5*(119702060-8812375*n+158940*n^
2-405*n^3)*p5*p2+54/11*(-102102+1716*n)*p11+9/4*(-164520+1440*n)*p4*p3*p2+6*(-\
13639626+676665*n-7425*n^2)*p9-756*p13+9/2*(146206620-11153424*n+226830*n^2-\
1080*n^3)*p4*p3+27/5*(-5630600+215250*n-1530*n^2)*p5*p1^2+27/2*(1318745280-\
211403536*n+10175432*n^2-165300*n^3+540*n^4)*p4*p1+9/8*(768096-11664*n)*p2^3*p1
+9*(-199585176+20790126*n-582462*n^2+4536*n^3)*p3*p1^2+9*(2018014680-330670809*
n+16397376*n^2-276723*n^3+972*n^4)*p3*p2+9/4*(-16569000+700236*n-3888*n^2)*p3*
p2^2+9/2*(18027936-1028376*n+9720*n^2)*p2*p1^3+27*(5382172096-9371797028/5*n+
206832157*n^2-18145959/2*n^3+151443*n^4-5589/10*n^5)*p2*p1+54*(-3228825600+
4596301584*n-9427629042/5*n^2+3096592353/10*n^3-92069865/4*n^4+3154977/4*n^5-\
222507/20*n^6+729/20*n^7)*p1+18*(-14524403712+7412368242*n-24509068767/20*n^2+
679832811/8*n^3-10377315/4*n^4+247941/8*n^5-729/10*n^6)*p3+1/3*(-219024+5184*n)
*p3^3+9*(-1059274560+244036248*n-16940412*n^2+415368*n^3-2916*n^4)*p1^3+54/5*(-\
5915501592+1383853839*n-414803745/4*n^2+24273405/8*n^3-123795/4*n^4+243/8*n^5)*
p5+54/7*(-533719186+59568978*n-1942290*n^2+18900*n^3)*p7+27/4*(-10035984+399600
*n-1800*n^2)*p4*p2*p1
[9, 5, 2]
-1170*p12*p1-900*p9*p4+90*p8*p4*p1-180*p8*p1^3-720*p4*p3^2*p1-1350*p4^2*p2*p1+
21600*p9*p1^2-1080*p5*p4*p1^2+4320*p5*p3^2+22680*p5*p4*p2+21060*p5^2*p1+25920*
p7*p3*p1+45/8*(4960-48*n)*p8*p2*p1+15/2*(1858752-43428*n+252*n^2)*p6*p2*p1+
16200*p4^2*p3+9/2*(-100320+720*n)*p5*p2*p1^2+15/4*(2508480-43488*n)*p4*p3*p2+15
/4*(-141024+1728*n)*p4*p3*p1^2+45/16*(-129168+2736*n)*p4*p2^2*p1+15/4*(14616-\
168*n)*p6*p4*p1+45/4*(163159504-9448200*n+152724*n^2-964*n^3)*p4*p2*p1+15/2*(-\
13680960+476784*n-2592*n^2)*p3*p2*p1^2+5/2*(-89280+864*n)*p3^2*p2*p1+5*(-84960+
540*n)*p9*p2+15/4*(-123600+480*n)*p8*p3+45/4*(-17558724+1982116/3*n-5272*n^2+20
/3*n^3)*p8*p1+45/7*(-23257920+711144*n-3024*n^2)*p7*p2+45/7*(1425312-30240*n)*
p7*p1^2+5*(-30780540+922572*n-2520*n^2)*p6*p3+5/2*(-80136+504*n)*p6*p1^3+9/2*(-\
36437100+1259580*n-7560*n^2)*p5*p4+45/14*(-213360+2016*n)*p7*p4+3*(-200340+1260
*n)*p6*p5+9*(-102740+1320*n)*p10*p1+15/8*(-14490720+514296*n-5832*n^2)*p2^3*p1+
15/8*(744624-11664*n)*p2^2*p1^3+9*(116127480-6949220*n+98520*n^2-100*n^3)*p5*p1
^2+45/16*(3041376-90560*n+720*n^2)*p4^2*p1-540*p8*p5-9720*p2*p1^5+2160*p5*p1^4+
7560*p4*p2*p1^3+1440*p3^2*p1^3+18*(60013753800-29070671993/2*n+4538056545/4*n^2
-140008115/4*n^3+1612335/4*n^4-4779/4*n^5)*p5+90/7*(5914618710-689745910*n+
23543268*n^2-247562*n^3+420*n^4)*p7+5/9*(2475360-25920*n)*p3^3+10*(167837670-\
8745945*n+97380*n^2-75*n^3)*p9+90/11*(1411410-24024*n)*p11+15/2*(-344737872+
31006932*n-757296*n^2+4428*n^3)*p2*p1^3+45*(-53166062592+58442537756/3*n-\
69424466959/30*n^2+1373564197/12*n^3-29573249/12*n^4+90489/4*n^5-2079/20*n^6)*
p2*p1+90*(29059430400-5884789369143/140*n+354098230059/20*n^2-241767116631/80*n
^3+3809927397/16*n^4-90276123/10*n^5+6424227/40*n^6-709083/560*n^7+81/16*n^8)*
p1+15/4*(201096360-9538920*n+89424*n^2)*p3*p2^2+5/4*(690624-10368*n)*p3*p1^4+15
*(-21293575560+3638903490*n-190033212*n^2+3516174*n^3-18468*n^4)*p3*p2+45/2*(-\
14784141280+12987348136/5*n-864323671/6*n^2+6135987/2*n^3-151289/6*n^4+993/10*n
^5)*p4*p1+45/4*(3381418480-412931790*n+15097158*n^2-203378*n^3+1242*n^4)*p2^2*
p1+15/2*(-1691550060+134740356*n-2796864*n^2+13032*n^3)*p4*p3+15/4*(-11201448+
436728*n-3024*n^2)*p4*p1^3+5*(181991412-9938616*n+120816*n^2-120*n^3)*p3^2*p1+9
/4*(1861560-29160*n)*p5*p2^2+15*(2691172680-341398700*n+12984576*n^2-162220*n^3
+360*n^4)*p3*p1^2+9*(-1397673240+110273550*n-2274480*n^2+11070*n^3)*p5*p2+15*(-\
931676268+79196649*n-1893325*n^2+13839*n^3-35*n^4)*p6*p1+6*(2385180-48960*n)*p5
*p3*p1+15*(11724244992-15373617103/5*n+525579861/2*n^2-18348875/2*n^3+254187/2*
n^4-4779/10*n^5)*p1^3+30*(137318388480-143764665149/2*n+49048300479/4*n^2-\
3532349339/4*n^3+113583699/4*n^4-1518507/4*n^5+3159/2*n^6)*p3+3/4*(28572240-\
1712880*n+19440*n^2)*p1^5+18900*p13
[9, 4, 3]
-87480*p4*p3*p1^2+38880*p5*p4*p2-1620*p4*p3*p2^2+15552*p7*p3*p1+36/5*(1497600-\
32850*n+90*n^2)*p5*p3*p1+27/5*(-36720+480*n)*p5*p2*p1^2+9/2*(3777372-103380*n+
720*n^2)*p4*p3*p2+9*(1292004-28980*n+168*n^2)*p6*p2*p1-1296*p5*p3*p2*p1+27/8*(-\
99360+960*n)*p4*p2^2*p1+3*(-162288+3168*n)*p3^2*p2*p1+27/2*(118766268-6572508*n
+96520*n^2-480*n^3)*p4*p2*p1+9*(-7390320+280128*n-3024*n^2)*p3*p2*p1^2+3*(21924
-252*n)*p6*p3*p2+27/4*(3312-32*n)*p8*p2*p1+9/4*(256608-5184*n)*p2^2*p1^3+27*(-\
11662371000+2040323561*n-113414983*n^2+2498377*n^3-22885*n^4+90*n^5)*p4*p1+18*(
-18074488464+32818429053/10*n-774935319/4*n^2+18760467/4*n^3-190809/4*n^4+3159/
20*n^5)*p3*p2+18*(1859798880-219209838*n+7941537*n^2-116310*n^3+675*n^4)*p3*p1^
2+27/2*(2678055552-336130406*n+13208284*n^2-198690*n^3+972*n^4)*p2^2*p1+9*(-\
185415264+13903680*n-308016*n^2+2592*n^3)*p2*p1^3+54*(-43504119840+160525931257
/10*n-38844517599/20*n^2+401752557/4*n^3-9582779/4*n^4+521901/20*n^5-1053/10*n^
6)*p2*p1+18*(-677506410+55032957*n-1277430*n^2+10815*n^3-42*n^4)*p6*p1+54/5*(-\
1268181180+111796590*n-2875860*n^2+23490*n^3)*p5*p2+54/5*(59596320-2842500*n+
35580*n^2-120*n^3)*p5*p1^2+9*(-1494695460+130381893*n-3342333*n^2+31155*n^3-135
*n^4)*p4*p3+9/2*(-2624400+38880*n)*p4*p1^3+6*(134255232-7905996*n+141588*n^2-\
792*n^3)*p3^2*p1+9/2*(221166696-14387406*n+268632*n^2-1458*n^3)*p3*p2^2+9/4*(-\
13989672+553464*n-3888*n^2)*p2^3*p1+3/4*(-331560+5832*n)*p3*p2^3+27/2*(-\
10457700+323204*n-2372*n^2+8*n^3)*p8*p1+54/7*(-25551792+979944*n-8064*n^2)*p7*
p2+54/7*(362880-4032*n)*p7*p1^2+6*(-31629150+1232469*n-12600*n^2+63*n^3)*p6*p3+
27/5*(-32484060+1065900*n-5400*n^2)*p5*p4+5832*p3*p2^2*p1^2+27/10*(3336840-\
81000*n)*p5*p2^2+27/8*(1134000-7200*n)*p4^2*p1-864*p3^3*p2+23328*p7*p2^2+18/5*(
-200340+1260*n)*p6*p5-1296*p11*p2+28512*p5*p3^2+54/5*(-34650+220*n)*p10*p1+6*(-\
160380+1980*n)*p9*p2+7776*p5^2*p1+9/2*(-200340+2652*n-12*n^2)*p8*p3-583200*p7*
p4+12150*p4^2*p3+52488*p3*p1^4-648*p8*p5-1188*p10*p3+108*p8*p3*p2+9/10*(5773680
-116640*n)*p1^5+108/7*(5055700650-623618520*n+23757720*n^2-332430*n^3+1638*n^4)
*p7+108/11*(1351350-24090*n+66*n^2)*p11+2/3*(4626720-143208*n+648*n^2)*p3^3+36*
(114158772000-242826457821/4*n+213985889859/20*n^2-65702127081/80*n^3+239890383
/8*n^4-4210137/8*n^5+165807/40*n^6-729/80*n^7)*p3+108/5*(50146976880-\
25125540363/2*n+4176759855/4*n^2-145720275/4*n^3+2202345/4*n^4-12879/4*n^5)*p5+
18*(8854878240-2190124398*n+171955659*n^2-5505996*n^3+79029*n^4-486*n^5)*p1^3+
22680*p13+12*(150540390-8405595*n+117810*n^2-495*n^3)*p9+108*(24216192000-\
140550090795/4*n+149263327899/10*n^2-207501031341/80*n^3+1057950729/5*n^4-\
68718609/8*n^5+6999129/40*n^6-136269/80*n^7+243/40*n^8)*p1
[9, 4, 2, 2]
7776*p3*p2*p1^4+36*(-1250173304+83118960*n-1449810*n^2+4760*n^3)*p4*p2*p1+24*(
144759696-7789281*n+108648*n^2-243*n^3)*p3*p2*p1^2+6*(-85392+972*n)*p3*p2^2*p1^
2-1728*p5*p3*p1^3-432*p8*p3*p2+51840*p5*p3*p2*p1+144*p8*p3*p1^2+31104*p7*p2*p1^
2+6480*p4*p3*p2^2+96/7*(-149436+1512*n)*p7*p3*p1+12*(-141120+840*n)*p6*p4*p1+8*
(-63504+378*n)*p6*p3*p2+8*(12096-126*n)*p6*p3*p1^2+96/5*(-26199630+814275*n-\
3735*n^2)*p5*p3*p1+72/5*(1514640-27900*n)*p5*p2*p1^2+12*(2520096-68520*n+270*n^
2)*p4*p3*p1^2+9*(1250640-13680*n)*p4*p2^2*p1+8*(2140704-43200*n)*p3^2*p2*p1+8/3
*(-204984+4752*n)*p3^2*p1^3+2*(733536-8748*n)*p3*p2^3+6*(-84600+720*n)*p4*p2*p1
^3+12*(-22481208+463860*n-990*n^2)*p4*p3*p2+24*(-18048240+476070*n-1260*n^2)*p6
*p2*p1+144*(288177716160-3312845015293/30*n+41872628519/3*n^2-18079798933/24*n^
3+219202429/12*n^4-7312641/40*n^5+1917/4*n^6)*p2*p1+6*(124368768-4784724*n+
29160*n^2)*p2^3*p1+6*(-10590768+360324*n-1944*n^2)*p2^2*p1^3+6/5*(589680-12960*
n)*p2*p1^5+72*(88901711264-16854040564*n+3122242696/3*n^2-51425243/2*n^3+714065
/3*n^4-903/2*n^5)*p4*p1+48*(123189552576-220400936157/10*n+1214687961*n^2-\
191559057/8*n^3+139293*n^4-7047/40*n^5)*p3*p2+48*(-18324013440+26951799409/10*n
-261303099/2*n^2+20335207/8*n^3-35325/2*n^4+729/40*n^5)*p3*p1^2+36*(-\
21707248160+2923703730*n-121434774*n^2+1774912*n^3-6048*n^4)*p2^2*p1+24*(
2804483328-320362167*n+11753346*n^2-156897*n^3+486*n^4)*p2*p1^3+24*(10846625160
-924214998*n+20880888*n^2-113325*n^3+135*n^4)*p4*p3+12*(128219784-7901832*n+
137850*n^2-540*n^3)*p4*p1^3+16*(-1461499488+102138294*n-2006082*n^2+9924*n^3)*
p3^2*p1+12*(-1395088848+74298186*n-872946*n^2+1944*n^3)*p3*p2^2+18*(-62456+240*
n)*p8*p2*p1+4*(-12869856+628164*n-8100*n^2)*p3*p1^4+144/5*(8895860760-738209280
*n+15661890*n^2-69120*n^3)*p5*p2+144/5*(-1003246920+77584795*n-1763340*n^2+
11375*n^3)*p5*p1^2+48*(6518921640-628453434*n+17994179*n^2-160209*n^3+154*n^4)*
p6*p1+14400*p9*p4+6048*p8*p5+5184*p11*p2-725760*p5^2*p1-93312*p7*p2^2+48/5*(
1466640-4410*n)*p6*p5+144/5*(1137400-18480*n)*p10*p1+16*(748800-5130*n)*p9*p2+
16*(-95040+1350*n)*p9*p1^2+12*(1404240-13332*n+12*n^2)*p8*p3+6*(4776-48*n)*p8*
p1^3+19008*p10*p3-1728*p11*p1^2+52416*p12*p1-421632*p5*p3^2-453600*p4^2*p3+72/7
*(1520400-10080*n)*p7*p4+3456*p3^3*p2+36*(150949752-20714036/3*n+70108*n^2-88/3
*n^3)*p8*p1-2160*p4*p3*p2*p1^2-1152*p3^3*p1^2+144/7*(167457948-5336856*n+23436*
n^2)*p7*p2+144/7*(-17362548+648144*n-5292*n^2)*p7*p1^2+16*(233282700-8133552*n+
43155*n^2-63*n^3)*p6*p3+8*(1563408-44730*n+252*n^2)*p6*p1^3+72/5*(255506160-\
8637000*n+36450*n^2)*p5*p4+36/5*(-15002640+218700*n)*p5*p2^2+12/5*(-84960+1440*
n)*p5*p1^4+9*(-27648480+841600*n-3600*n^2)*p4^2*p1-440640*p5*p4*p2+56160*p5*p4*
p1^2+21600*p4^2*p2*p1+63360*p4*p3^2*p1-2880*p9*p3*p1-1440*p8*p4*p1+288/7*(-\
35889934080+4385025218*n-156446766*n^2+1690570*n^3-2982*n^4)*p7-483840*p13+12/5
*(-324484320+31063380*n-948780*n^2+9720*n^3)*p1^5+48*(-69021236160+199189348381
/10*n-19725209403/10*n^2+698703061/8*n^3-7306749/4*n^4+652131/40*n^5-729/20*n^6
)*p1^3+288/11*(-10570560+180246*n-66*n^2)*p11+288*(-145297152000+2132969367639/
10*n-1841259961689/20*n^2+651022995807/40*n^3-107772559563/80*n^4+4383168123/80
*n^5-86023899/80*n^6+731151/80*n^7-891/40*n^8)*p1+288/5*(-334753058640+
168140461393/2*n-6839137065*n^2+1756753385/8*n^3-2573970*n^4+55323/8*n^5)*p5+96
*(-717946407360+385310093450*n-1356907075629/20*n^2+50708622787/10*n^3-\
2713787235/16*n^4+37536291/16*n^5-799389/80*n^6+729/80*n^7)*p3+32*(-1128647520+
61514490*n-704475*n^2+735*n^3)*p9+16/9*(-30281040+719928*n-648*n^2)*p3^3
[9, 3, 3, 2]
46656*p7*p2*p1^2+972*p8*p1^3+48600*p4*p3*p2^2+6480*p4*p3^2*p1+48600*p4^2*p2*p1-\
1620*p9*p2^2+50544*p11*p2+26244*p5*p2^3+14256*p10*p3+85536*p5*p3*p2*p1+29484*
p12*p1+9720*p5*p4*p1^2+10368*p3^3*p2+6804*p8*p5-437400*p9*p1^2-839808*p7*p3*p1-\
449064*p5^2*p1+27/2*(-31865328+872880*n-5040*n^2)*p4*p3*p2+27/2*(754320-4320*n)
*p4*p3*p1^2+81/8*(2731488-76120*n+600*n^2)*p4*p2^2*p1-291600*p4^2*p3+27*(-\
18551484+649068*n-8106*n^2+42*n^3)*p6*p2*p1+81/4*(-115640+1640*n-8*n^2)*p8*p2*
p1+27/2*(-70560+420*n)*p6*p4*p1-334368*p5*p3^2+9*(-169344+1008*n)*p6*p3*p2+27/4
*(16128-168*n)*p6*p2^2*p1-1370520*p5*p4*p2+81/2*(-1080525120+76413420*n-1850197
*n^2+21430*n^3-105*n^4)*p4*p2*p1+27*(100132560-5031624*n+79752*n^2-432*n^3)*p3*
p2*p1^2+27/4*(-141024+1728*n)*p3*p2^2*p1^2+9*(2049408-39888*n+144*n^2)*p3^2*p2*
p1+108/5*(-16380540+372420*n-1980*n^2)*p5*p3*p1+81/5*(1223760-24600*n+120*n^2)*
p5*p2*p1^2-1944*p5*p2^2*p1^2-2430*p4*p2^3*p1+27/2*(1260840-10128*n+48*n^2)*p8*
p3+54/5*(1466640-4410*n)*p6*p5+81/7*(1365000-5040*n)*p7*p4+81/14*(-219408+2016*
n)*p7*p2^2+162/5*(678700-9295*n+55*n^2)*p10*p1+18*(1638180-24930*n+90*n^2)*p9*
p2+81/2*(-19021358672+13576217226/5*n-134781945*n^2+3202360*n^3-40215*n^4+1134/
5*n^5)*p2^2*p1+27*(1839392976-186010284*n+6293721*n^2-94500*n^3+567*n^4)*p2*p1^
3+162*(251802488320-194241311617/2*n+12549921782*n^2-29045835977/40*n^3+
172391669/8*n^4-2904863/8*n^5+28251/8*n^6-81/5*n^7)*p2*p1+81*(75097918832-\
14086840893*n+875800898*n^2-96063563/4*n^3+1380811/4*n^4-11393/4*n^5+45/4*n^6)*
p4*p1+54*(111962754192-106045297266/5*n+2675316783/2*n^2-37061688*n^3+999297/2*
n^4-14094/5*n^5)*p3*p2+54*(5173672980-474563859*n+27831447/2*n^2-759675/4*n^3+
2919/2*n^4-21/4*n^5)*p6*p1+162/5*(8788701780-831589560*n+50257425/2*n^2-314370*
n^3+2835/2*n^4)*p5*p2+27*(9968861160-882439782*n+23176662*n^2-232620*n^3+810*n^
4)*p4*p3+18*(-1097734356+68597676*n-1295334*n^2+9756*n^3-18*n^4)*p3^2*p1+9/4*(
4310928-93312*n)*p3*p2^3+27/32*(-372096+7776*n)*p2^4*p1+81/10*(-34258200+
1127880*n-8100*n^2)*p5*p2^2+81/8*(-17424240+422600*n-3600*n^2)*p4^2*p1+81/2*(
107204876-4327260*n+57577*n^2-398*n^3+n^4)*p8*p1+162/7*(207964176-9111732*n+
115836*n^2-504*n^3)*p7*p2+162/7*(-7937496+179424*n-1008*n^2)*p7*p1^2+18*(
220472280-7742070*n+68292*n^2-252*n^3)*p6*p3+9*(344736-756*n)*p6*p1^3+81/5*(
241938060-8178450*n+56700*n^2)*p5*p4-1296*p3^2*p2^2*p1-3564*p10*p2*p1-810*p8*p4
*p1-1296*p8*p3*p2+162*p8*p2^2*p1-11664*p5*p1^4-320760*p4*p2*p1^3-7776*p3^2*p1^3
+8748*p2^3*p1^3+27/2*(-1695215664+123464688*n-2875428*n^2+23328*n^3)*p3*p2^2+9/
2*(-2715552+15552*n)*p3*p1^4+27/4*(174444672-10982868*n+236484*n^2-1944*n^3)*p2
^3*p1+27/4*(-8353344+326160*n-3240*n^2)*p2^2*p1^3-544320*p13+324*(-129153024000
+3803650896339/20*n-662328083277/8*n^2+596927214423/40*n^3-206486775063/160*n^4
+18633614463/320*n^5-5856075/4*n^6+3477843/160*n^7-29997/160*n^8+243/320*n^9)*
p1+324/7*(-32578706160+4149040959*n-334931415/2*n^2+2766372*n^3-42693/2*n^4+63*
n^5)*p7+36*(-1060179120+120806505/2*n-3799755/4*n^2+12195/2*n^3-45/4*n^4)*p9+
324/11*(-10330320+181038*n-858*n^2)*p11+209952*p2*p1^5+162/5*(-626425740+
39639870*n-761865*n^2+5970*n^3-15*n^4)*p5*p1^2+27/2*(54228576-2002500*n+16200*n
^2)*p4*p1^3+54*(-13806986544+1863045762*n-82152597*n^2+1587288*n^3-14883*n^4+54
*n^5)*p3*p1^2+108*(-636717419520+693510267249/2*n-1261114211661/20*n^2+
101223590961/20*n^3-1599460935/8*n^4+16527267/4*n^5-1821123/40*n^6+2187/10*n^7)
*p3+324/5*(-298281023040+77067525759*n-13361337765/2*n^2+251835945*n^3-36566205
/8*n^4+41706*n^5-1215/8*n^6)*p5+2*(-26522640+546912*n-2592*n^2)*p3^3+54*(-\
55980249600+76386603267/5*n-2793851985/2*n^2+56918361*n^3-4703019/4*n^4+64368/5
*n^5-243/4*n^6)*p1^3+27/10*(-120744720+6447600*n-58320*n^2)*p1^5+8100*p9*p4
[9, 3, 2, 2, 2]
7484400*p4^2*p3-3084480*p5*p3*p2*p1+77760*p5*p3*p1^3+155520*p4*p3*p2*p1^2-72576
*p8*p5+81*(926132-10788*n+20*n^2)*p8*p2*p1+432/7*(904176-6048*n)*p7*p3*p1+324/7
*(-100632+1008*n)*p7*p2*p1^2+54*(899640-2520*n)*p6*p4*p1+36*(694512-2352*n)*p6*
p3*p2+216*(86742303264-68732442448/5*n+745672010*n^2-35736513/2*n^3+199758*n^4-\
9099/10*n^5)*p3*p1^2+162*(103869315152-77825720273/5*n+1567577863/2*n^2-\
34238069/2*n^3+334137/2*n^4-5589/10*n^5)*p2^2*p1+108*(-15117539280+19651281161/
10*n-355452111/4*n^2+7163677/4*n^3-66033/4*n^4+1053/20*n^5)*p2*p1^3+648*(-\
1166448944000+9303805617719/20*n-624028202153/10*n^2+59639102081/16*n^3-\
220545591/2*n^4+33816931/20*n^5-64386/5*n^6+567/16*n^7)*p2*p1+216*(-\
536698246176+507033843349/5*n-12293857335/2*n^2+150913396*n^3-3178665/2*n^4+
31671/5*n^5)*p3*p2-194400*p9*p4+18*(8820-84*n)*p6*p2*p1^3+27*(1842048-32400*n)*
p3*p2^2*p1^2+432/5*(157288740-4764900*n+26580*n^2)*p5*p3*p1+8232192*p5*p3^2+36*
(-89208+504*n)*p6*p3*p1^2+22915872*p5^2*p1+27*(-89208+504*n)*p6*p2^2*p1+648/5*(
-7603420+124905*n-385*n^2)*p10*p1+54*(154124232-3598400*n+11760*n^2)*p4*p3*p2-\
314928*p5*p2^3+54*(-17870544+447960*n-2160*n^2)*p4*p3*p1^2+72*(875880-13005*n+
45*n^2)*p9*p1^2+81/2*(-17773944+414120*n-1680*n^2)*p4*p2^2*p1+27*(1696524-37820
*n+240*n^2)*p4*p2*p1^3+54*(-7394520+58168*n-88*n^2)*p8*p3+27*(-78636+868*n-4*n^
2)*p8*p1^3+324/7*(-7786800+30240*n)*p7*p4+72*(-7286040+92745*n-225*n^2)*p9*p2+
36*(-17757600+358344*n-360*n^2)*p3^2*p2*p1-1728*p3^2*p2*p1^3+216*(-32159664180+
3310630932*n-215466867/2*n^2+2769333/2*n^3-14511/2*n^4+21/2*n^5)*p6*p1+648/5*(-\
43838370720+3994370510*n-212945925/2*n^2+1020015*n^3-6885/2*n^4)*p5*p2+648/5*(
5572347280-472297800*n+25722135/2*n^2-141825*n^3+1275/2*n^4)*p5*p1^2+108*(-\
51162413680+4512092202*n-110336102*n^2+838310*n^3-1530*n^4)*p4*p3+54*(-\
832438144+57438657*n-1258781*n^2+11105*n^3-45*n^4)*p4*p1^3+72*(7677173988-\
564872568*n+12219828*n^2-83520*n^3+36*n^4)*p3^2*p1+54*(8135715952-537651140*n+
10226784*n^2-59292*n^3)*p3*p2^2+27*(-1042164144+61987914*n-1088604*n^2+5346*n^3
)*p2^3*p1+27*(115655824-6268118*n+102828*n^2-486*n^3)*p2^2*p1^3+27/5*(-9994640+
403200*n-4320*n^2)*p2*p1^5+324*(-390907911920+78176660066*n-5237215058*n^2+
302871031/2*n^3-4067951/2*n^4+24389/2*n^5-45/2*n^6)*p4*p1+162*(-861165700+
41856702*n-550252*n^2+2432*n^3-2*n^4)*p8*p1+648/7*(-1025370948+40271238*n-\
397698*n^2+1260*n^3)*p7*p2+648/7*(119658420-4910430*n+58170*n^2-252*n^3)*p7*p1^
2+72*(-1202499900+41426406*n-275268*n^2+462*n^3)*p6*p3+36*(-14237622+461601*n-\
4494*n^2+21*n^3)*p6*p1^3+324/5*(-1311827160+43125100*n-215100*n^2)*p5*p4+162/5*
(146589000-4018680*n+22680*n^2)*p5*p2^2+54/5*(1290960-26040*n+120*n^2)*p5*p1^4+
81/2*(164319840-4798200*n+23400*n^2)*p4^2*p1+9*(-130656+1728*n)*p3*p2*p1^4-\
174960*p4*p1^5-96768*p3^3*p2+108*(140976234-4909821*n+43470*n^2-105*n^3)*p6*p2*
p1+162/7*(789264-6048*n)*p7*p2^2+216/5*(-7993440+11760*n)*p6*p5+162*(7064634048
-537435517*n+12493155*n^2-104605*n^3+255*n^4)*p4*p2*p1+108*(-982720112+62714112
*n-1224732*n^2+7884*n^3)*p3*p2*p1^2+324/5*(-17019780+494100*n-3540*n^2)*p5*p2*
p1^2-1385100*p4^2*p2*p1-1088640*p4*p3^2*p1-531360*p4*p3*p2^2+29160*p4*p2^3*p1-\
3240*p4*p2^2*p1^3+15552*p3^2*p2^2*p1+51840*p9*p3*p1-6480*p9*p2*p1^2+19440*p8*p4
*p1+12096*p8*p3*p2-2592*p8*p3*p1^2-1944*p8*p2^2*p1+216*p8*p2*p1^3+106920*p10*p2
*p1+12*(1670112-31176*n+72*n^2)*p3^2*p1^3+24300*p4^2*p1^3+18*(102629520-5525112
*n+87528*n^2-432*n^3)*p3*p1^4+20736*p3^3*p1^2+9*(-15827760+264384*n)*p3*p2^3-\
2592*p5*p2*p1^4+27/8*(1746144-23328*n)*p2^4*p1+9/2*(-168840+1944*n)*p2^3*p1^3+
21675600*p5*p4*p2-2507760*p5*p4*p1^2+128304*p5*p2^2*p1^2+11664*p2^2*p1^5+104976
*p1^7+31104*p7*p1^4+1296*(548900352000-3268769608341/4*n+14450827252383/40*n^2-\
5299971973641/80*n^3+930582553077/160*n^4-42109689177/160*n^5+128080431/20*n^6-\
6845229/80*n^7+94743/160*n^8-243/160*n^9)*p1+54/5*(2008465680-220955660*n+
8282150*n^2-130500*n^3+810*n^4)*p1^5+432*(2824499233920-3109602420729/2*n+
2839000329813/10*n^2-898263815037/40*n^3+3348905541/4*n^4-59938353/4*n^5+
2544669/20*n^6-17253/40*n^7)*p3+19440*p9*p2^2+216*(293858805120-1799903637297/
20*n+193909244961/20*n^2-39155714097/80*n^3+25733139/2*n^4-1811619/10*n^5+25569
/20*n^6-243/80*n^7)*p1^3+8*(154483200-3141072*n+4752*n^2)*p3^3+12337920*p13+
1296/11*(57177120-963820*n+2860*n^2)*p11+1296/7*(162323120960-20657685930*n+
798148323*n^2-11256504*n^3+63357*n^4-126*n^5)*p7+1296/5*(1398723886560-\
364125269459*n+31237103645*n^2-4452141975/4*n^3+69073845/4*n^4-471429/4*n^5+
1215/4*n^6)*p5+144*(5599273680-314214255*n+8648055/2*n^2-19395*n^3+45/2*n^4)*p9
+101088*p11*p1^2-389664*p10*p3-2376*p10*p1^3-1769040*p12*p1-775008*p11*p2
[9, 2, 2, 2, 2, 2]
380160*p10*p1^3+38880*p8*p2^2*p1+57600*p8*p3*p1^2+259200*p9*p2*p1^2+3024000*p9*
p4+7603200*p10*p3+18869760*p11*p2+62899200*p12*p1-172800*p8*p3*p2-302400*p8*p4*
p1-388800*p9*p2^2-1152000*p9*p3*p1-3421440*p10*p2*p1+870912*p8*p5-6289920*p11*
p1^2-296110080*p13+1382400*p3^3*p2+9590400*p4*p3*p2^2+23155200*p4*p3^2*p1+
39528000*p4^2*p2*p1+6298560*p5*p2^3+87920640*p5*p3*p2*p1+145152000*p5*p4*p1^2-\
794271744*p5^2*p1-156266496*p5*p3^2-486622080*p5*p4*p2-132192000*p4^2*p3-14400*
p9*p1^4+1440*(-132303060+2820600*n-6540*n^2)*p4*p3*p2+1080*(19989108-431460*n+
1170*n^2)*p4*p2^2*p1+720*(-3902796+98100*n-330*n^2)*p4*p2*p1^3+960*(19537056-\
349704*n+216*n^2)*p3^2*p2*p1+720*(-2700816+42120*n)*p3*p2^2*p1^2+240*(486828-\
8424*n)*p3*p2*p1^4+480*(-23436+126*n)*p6*p2*p1^3+2160*(-1118552+12228*n-12*n^2)
*p8*p2*p1+11520/7*(-1062600+5040*n)*p7*p3*p1+8640/7*(174636-1512*n)*p7*p2*p1^2+
1440*(-1120140+1470*n)*p6*p4*p1+960*(-579096+1260*n)*p6*p3*p2+960*(162792-420*n
)*p6*p3*p1^2+4320*(-6842686388+548089047*n-12748533*n^2+92090*n^3-150*n^4)*p4*
p2*p1+2880*(1193172196-83761097*n+1676781*n^2-8748*n^3)*p3*p2*p1^2+2880*(-\
157301928+5552232*n-43029*n^2+63*n^3)*p6*p2*p1+2304*(-175481484+5335626*n-22170
*n^2)*p5*p3*p1+1728*(26152626-807795*n+4635*n^2)*p5*p2*p1^2+288*p8*p1^5-8640*p8
*p2*p1^3+1728*(1121531502-35553105*n+135765*n^2)*p5*p4+864*(-129029490+3364659*
n-15795*n^2)*p5*p2^2+72*(681852-18880*n+90*n^2)*p4*p1^5+90*(-1782000+17496*n)*
p2^4*p1+720*(269832-4060*n+4*n^2)*p8*p1^3+48*(4788-42*n)*p6*p1^5+1920*(6531390-\
80055*n+135*n^2)*p9*p2+1920*(-1637010+26505*n-45*n^2)*p9*p1^2+1440*(6280848-\
40984*n+40*n^2)*p8*p3-8156160*p5*p3*p1^3-4665600*p5*p2^2*p1^2+336960*p5*p2*p1^4
-3456*p5*p1^6-3888000*p4^2*p1^3-5529600*p4*p3*p2*p1^2+259200*p4*p3*p1^4+129600*
p4*p2^2*p1^3-583200*p4*p2^3*p1-4320*p4*p2*p1^5-311040*p3^2*p2^2*p1-460800*p3^3*
p1^2+69120*p3^2*p2*p1^3-2304*p3^2*p1^5+15552*p2*p1^7+3456*(9272560-153120*n+330
*n^2)*p10*p1+1440*(27834120-742840*n+1980*n^2)*p4*p3*p1^2+4320/7*(-690228+4536*
n)*p7*p2^2+8640/7*(6712860-17640*n)*p7*p4+1440/7*(-39732+504*n)*p7*p1^4+1152*(
7067088-5292*n)*p6*p5+4320*(906774720-139360202/3*n+590543*n^2-6058/3*n^3+n^4)*
p8*p1+17280/7*(884188536-34132266*n+311094*n^2-756*n^3)*p7*p2+17280/7*(-\
169249080+7887054*n-93450*n^2+252*n^3)*p7*p1^2+1920*(1024076088-33913152*n+
186942*n^2-210*n^3)*p6*p3+3456*(-6119634634+580423705*n-34851639/2*n^2+191525*n
^3-1245/2*n^4)*p5*p1^2+3456*(35592285582-3255322824*n+84609657*n^2-737586*n^3+
2025*n^4)*p5*p2+1920*(-7416413616+573166080*n-12259410*n^2+67668*n^3-18*n^4)*p3
^2*p1+2880*(41384922552-3644554101*n+85384145*n^2-549080*n^3+720*n^4)*p4*p3+
5760*(29078082600-3172300509*n+107705759*n^2-5358423/4*n^3+5719*n^4-21/4*n^5)*
p6*p1+720*(97524-378*n)*p6*p2^2*p1+1080*(-184421640+5425600*n-17100*n^2)*p4^2*
p1+320*(-3925296+86040*n-72*n^2)*p3^2*p1^3+240*(13412196-186624*n)*p3*p2^3+16*(
-74664+1296*n)*p3*p1^6+120*(314496-2916*n)*p2^3*p1^3+960*(29880144-1239084*n+
12747*n^2-21*n^3)*p6*p1^3+1440*(-6814626000+445518807*n-7919913*n^2+37098*n^3)*
p3*p2^2+34560/7*(-127616881392+16363340147*n-1250107803/2*n^2+8333626*n^3-82173
/2*n^4+63*n^5)*p7+288*(-4840170+170895*n-1335*n^2)*p5*p1^4+36*(-45960+324*n)*p2
^2*p1^5+3840*(-4680968292+521365065/2*n-13594455/4*n^2+26265/2*n^3-45/4*n^4)*p9
+1440*(1182098388-97802130*n+2538566*n^2-22715*n^3+45*n^4)*p4*p1^3+480*(-\
204293928+14565351*n-310521*n^2+1890*n^3)*p3*p1^4+8640*(311302417640-\
65134566034*n+54972661429/12*n^2-1098442527/8*n^3+5399237/3*n^4-72721/8*n^5+45/
4*n^6)*p4*p1+720*(1071235872-64749969*n+1049058*n^2-3645*n^3)*p2^3*p1+4320*(-\
87520074464+69133829721/5*n-2912421423/4*n^2+127503437/8*n^3-560577/4*n^4+13527
/40*n^5)*p2^2*p1+144*(30647512-1849199*n+29952*n^2-81*n^3)*p2*p1^5+720*(-\
185297136+11499000*n-194268*n^2+648*n^3)*p2^2*p1^3+48/7*(-4731384+258930*n-3402
*n^2)*p1^7+288*(-2874799824+1992367819/5*n-79071971/4*n^2+3432177/8*n^3-14877/4
*n^4+243/40*n^5)*p1^5+2880*(15946248960-11793805297/5*n+489272583/4*n^2-\
22035935/8*n^3+101889/4*n^4-2349/40*n^5)*p2*p1^3+5760*(-77621180328+13399772586
*n-797428184*n^2+82374965/4*n^3-229659*n^4+3375/4*n^5)*p3*p1^2+5760*(
408063447024-78174140711*n+9485059761/2*n^2-452392507/4*n^3+2168217/2*n^4-14013
/4*n^5)*p3*p2+6912*(-1034656947324+2730276148363/10*n-23564506544*n^2+
6637025477/8*n^3-97755129/8*n^4+2945043/40*n^5-1215/8*n^6)*p5+11520*(-\
1982310627024+5530184969089/5*n-4088437070493/20*n^2+130041460115/8*n^3-\
1198781133/2*n^4+51230286/5*n^5-1555497/20*n^6+1701/8*n^7)*p3+17280*(
847192281840-5224113119078/15*n+726586154392/15*n^2-361203219329/120*n^3+
4409854207/48*n^4-111480839/80*n^5+758871/80*n^6-1539/80*n^7)*p2*p1+34560/11*(-\
50234184+818818*n-2002*n^2)*p11+640/3*(-127992960+2213136*n-2160*n^2)*p3^3+
34560*(-370507737600+557557216419*n-1252372775757/5*n^2+3749002414569/80*n^3-\
21059279598/5*n^4+62532364827/320*n^5-193511979/40*n^6+10147527/160*n^7-15741/
40*n^8+243/320*n^9)*p1+5760*(-231826825008+381624632351/5*n-36056722467/4*n^2+
10134495913/20*n^3-237814719/16*n^4+18166329/80*n^5-25461/16*n^6+243/80*n^7)*p1
^3
[8, 7]
1792/3*p6*p1^3+3024*p3*p2^3+5376*p3^2*p2*p1+2520*p4*p2^2*p1+4480*p4*p3*p1^2-672
*p6*p3*p2-448*p7*p3*p1+14/3*(-65208+576*n)*p6*p2*p1+56/15*(-92400+720*n)*p5*p3*
p1+14/3*(451392-6624*n)*p3*p2*p1^2+7/3*(-176400+1440*n)*p4*p3*p2-200704/3*p3^3+
7*(-9719080+408440*n-2760*n^2)*p4*p2*p1+14/5*(2656500-83300*n+600*n^2)*p5*p4+7/
5*(-138600+1080*n)*p5*p2^2+7/4*(-106400+1600*n)*p4^2*p1+28/3*(65157624-4615024*
n+77712*n^2-128*n^3)*p6*p1+28/5*(115744020-8628970*n+163680*n^2-630*n^3)*p5*p2+
28/5*(-5493600+212920*n-840*n^2)*p5*p1^2+14/3*(140505750-10654280*n+209880*n^2-\
960*n^3)*p4*p3+7/3*(272640-4640*n)*p4*p1^3+28/9*(-11092368+463392*n-2304*n^2)*
p3^2*p1+7/3*(-15907500+696744*n-4752*n^2)*p3*p2^2+7*(864000-21600*n)*p8*p1+4*(
1729728-47047*n+147*n^2)*p7*p2+4*(-31248+196*n)*p7*p1^2+28/9*(2317938-65988*n+
288*n^2)*p6*p3+20160*p8*p3+2*(11550-140*n)*p7*p4+28/15*(13020-180*n)*p6*p5-252*
p7*p2^2+18480*p9*p2+14784*p10*p1+14*(1271261400-610421510/3*n+29209595/3*n^2-\
466810/3*n^3+1525/3*n^4)*p4*p1+28/3*(1946868312-319233325*n+15883218*n^2-274068
*n^3+1155*n^4)*p3*p2+28/3*(-192285072+19842996*n-522600*n^2+2368*n^3)*p3*p1^2+7
*(-265858544+28194952*n-785544*n^2+4800*n^3)*p2^2*p1+14/3*(17637696-1026256*n+
9408*n^2)*p2*p1^3+28*(5189517216-5421308479/3*n+1196474627/6*n^2-26280761/3*n^3
+890917/6*n^4-644*n^5)*p2*p1+7/6*(665712-10368*n)*p2^3*p1-14336/3*p3*p1^4-784*
p13-2688*p2^2*p1^3+56*(-3113510400+4432202615*n-10909783193/6*n^2+2688118064/9*
n^3-133334047/6*n^4+6884609/9*n^5-11060*n^6+392/9*n^7)*p1-560*p6*p4*p1+56/3*(-\
14005581408+85774926397/12*n-28369026209/24*n^2+246259496/3*n^3-60586879/24*n^4
+125657/4*n^5-98*n^6)*p3+7/15*(-694272+17920*n)*p1^5+56/5*(-5704370672+
8006637425/6*n-1200916105/12*n^2+35368715/12*n^3-381395/12*n^4+245/4*n^5)*p5+28
/3*(-1020705984+704060416/3*n-48458584/3*n^2+1137680/3*n^3-5768/3*n^4)*p1^3+56/
11*(-98098+1716*n)*p11+8*(-514608094+689496913/12*n-44966537/24*n^2+229103/12*n
^3-343/24*n^4)*p7+56*p7*p6+56/9*(-13159146+650925*n-7425*n^2)*p9
[8, 6, 2]
-576*p7*p2*p1^2-960*p5*p4*p1^2+6912*p3*p2^2*p1^2-1152*p5*p3*p2*p1-302400*p4*p2^
2*p1-157696*p6*p1^3+8064*p6*p3*p2+33600*p6*p4*p1+2592*p7*p2^2+31104*p8*p2*p1+
21120*p9*p1^2-31104*p3*p2^3+6144*p5*p3^2+11520*p5*p4*p2+32/7*(7581-84*n)*p7*p3*
p1+8*(-13196592+499728*n-4320*n^2)*p3*p2*p1^2+8*(1800456-36288*n)*p6*p2*p1+32/5
*(2442605-67920*n+600*n^2)*p5*p3*p1+24/5*(-113720+1680*n)*p5*p2*p1^2+4*(-109680
+960*n)*p4*p3*p1^2+8/3*(-128304+1728*n)*p3^2*p2*p1+20160*p13+4*(-126360+864*n)*
p8*p3-672*p7*p6-1248*p12*p1-864*p8*p5+48/25*(16900-300*n)*p5^2*p1+48/5*(-98450+
1320*n)*p10*p1+48/7*(1302938-29764*n+84*n^2)*p7*p1^2+48/7*(-21747866+600600*n-\
756*n^2)*p7*p2-6144*p2*p1^5-443520*p9*p2+4*(2226240-20160*n)*p4*p3*p2+24/7*(-\
148960+840*n)*p7*p4+96*p7*p5*p1+16/5*(-208320+2940*n)*p6*p5+12*(-16519368+
638496*n-5472*n^2)*p8*p1+24/5*(-33139540+1082000*n-6800*n^2)*p5*p4+3*(2406400-\
48000*n)*p4^2*p1+16/3*(-29696226+965916*n-6048*n^2)*p6*p3+12/5*(1855920-18000*n
)*p5*p2^2+96*(27243216000-1379211301816/35*n+248943505724/15*n^2-42475099328/15
*n^3+222703260*n^4-125539816/15*n^5+2130976/15*n^6-29248/35*n^7)*p1+16*(
2527296122-324636680*n+12981868*n^2-196040*n^3+1088*n^4)*p3*p1^2+16*(-\
19944587114+3403455756*n-176456460*n^2+3136728*n^3-11976*n^4)*p3*p2+8*(-\
318667592+28594704*n-713808*n^2+4992*n^3)*p2*p1^3+12*(3155645008-382267776*n+
13412064*n^2-139008*n^3)*p2^2*p1+48*(-49851397080+274028208856/15*n-2169531964*
n^2+320626936/3*n^3-2226164*n^4+79328/5*n^5)*p2*p1+2*(-13919904+393984*n)*p2^3*
p1+4*(189743400-8549136*n+53568*n^2)*p3*p2^2+24*(-13868425576+7327659712/3*n-\
136330888*n^2+8749040/3*n^3-20840*n^4)*p4*p1+12*(151443536-8364960*n+104160*n^2
)*p4*p2*p1+48/5*(108065420-19905140/3*n+111360*n^2-1720/3*n^3)*p5*p1^2+48/5*(-\
1305251420+101208900*n-1949800*n^2+5800*n^3)*p5*p2+8*(-1591768780+127141176*n-\
2690640*n^2+13440*n^3)*p4*p3+16*(-874343370+75011384*n-1860432*n^2+13888*n^3)*
p6*p1+4*(-9576400+333600*n-1440*n^2)*p4*p1^3+16/3*(175802658-10396140*n+176688*
n^2-1152*n^3)*p3^2*p1+96/5*(56260334130-13626983836*n+3187470050/3*n^2-97633330
/3*n^3+1063810/3*n^4-1322/3*n^5)*p5+2*(735552-13824*n)*p2^2*p1^3+4/3*(498432-\
3072*n)*p3*p1^4+96/7*(5545700160-646458330*n+22113609*n^2-231294*n^3+63*n^4)*p7
+32*(128737856520-67384696362*n+57446881757/5*n^2-825457200*n^3+26244295*n^4-\
330150*n^5+4208/5*n^6)*p3+96/11*(1321320-24024*n)*p11+32/3*(157297140-8205120*n
+97020*n^2)*p9+4/5*(23939840-1246720*n+7680*n^2)*p1^5+16/27*(2747520-41472*n)*
p3^3+16*(11006276760-2894989984*n+249883664*n^2-9004256*n^3+137920*n^4-768*n^5)
*p1^3+1024*p5*p1^4+5760*p4*p2*p1^3
[8, 5, 3]
120*p7*p4*p2-240*p7*p2*p1^2-1440*p11*p2+4800*p7*p3*p1+21600*p8*p2*p1-1440*p4*p3
*p2^2+2400*p9*p1^2-1200*p4^2*p2*p1-211200*p3^2*p2*p1-147840*p4*p3*p1^2-35840*p6
*p1^3+36960*p6*p3*p2+21840*p6*p4*p1+19200*p4^2*p3-1200*p9*p4+1536000*p3^3+8*(
1014960-3600*n)*p5*p3*p1+6*(-32720+240*n)*p5*p2*p1^2+5*(3229064-90624*n+528*n^2
)*p4*p3*p2+15/4*(-125920+2496*n)*p4*p2^2*p1+3*(19280-240*n)*p5*p4*p2+10*(
1213800-25536*n)*p6*p2*p1+15*(111283672-19318712/3*n+106904*n^2-1648/3*n^3)*p4*
p2*p1+10*(-6371864+170496*n-528*n^2)*p3*p2*p1^2+3*(3247400-105960*n+720*n^2)*p5
*p2^2+15/4*(1493600-32800*n+160*n^2)*p4^2*p1+20/3*(-154260+2520*n)*p9*p2+30/7*(
-199570+2870*n-14*n^2)*p7*p4+6*(-30451540+1157960*n-11840*n^2+60*n^3)*p5*p4-840
*p7*p6+25200*p13+3680*p4*p2*p1^3+2880*p3*p2^2*p1^2+174080*p3*p1^4-2560*p2*p1^5+
15/7*(13916-168*n)*p7*p2^2+4*(-171780+1260*n)*p6*p5+20*(-609210504+48025544*n-\
1001784*n^2+5824*n^3)*p6*p1+5*(200149004-13394784*n+276144*n^2-1824*n^3)*p3*p2^
2+10*(-1323599050+112889154*n-2794658*n^2+25484*n^3-96*n^4)*p4*p3+20/3*(
109145040-4793760*n+23040*n^2)*p3^2*p1+5*(-3327040+75440*n-368*n^2)*p4*p1^3+5/6
*(-263520+5184*n)*p3*p2^3+15*(-9547200+262800*n-720*n^2)*p8*p1+60/7*(-23852696+
3086524/3*n-11970*n^2+98/3*n^3)*p7*p2+20/3*(-25519326+814716*n-4032*n^2)*p6*p3+
60/7*(406504-2870*n+14*n^2)*p7*p1^2+12*(-1158925700+316565200/3*n-3042340*n^2+
105560/3*n^3-140*n^4)*p5*p2+12*(55282840-2372660*n+15200*n^2-60*n^3)*p5*p1^2+15
*(2448829040-935321888/3*n+12817008*n^2-658864/3*n^3+1408*n^4)*p2^2*p1+20*(-\
16311974120+8904454702/3*n-177743009*n^2+13642682/3*n^3-54109*n^4+254*n^5)*p3*
p2+24*(45139894800-22616142855/2*n+11349039535/12*n^2-408437815/12*n^3+6885395/
12*n^4-54935/12*n^5+25/2*n^6)*p5+10*(-173966336+38138632/3*n-237624*n^2+4160/3*
n^3)*p2*p1^3-561600*p8*p3-411840*p10*p1+5/2*(294080-6144*n)*p2^2*p1^3+40/3*(
135405270-7683180*n+116190*n^2-570*n^3)*p9+30*(-10474600200+1817857950*n-\
298099577/3*n^2+6373748/3*n^3-56599/3*n^4+178/3*n^5)*p4*p1+20*(1660140280-\
186511582*n+5654306*n^2-44044*n^3+96*n^4)*p3*p1^2+5/2*(-13735920+629280*n-6912*
n^2)*p2^3*p1+120/7*(4548674130-2247450373/4*n+524948963/24*n^2-2017211/6*n^3+
51373/24*n^4-35/12*n^5)*p7+120/11*(1231230-24090*n+66*n^2)*p11+120*(21794572800
-31626986745*n+241920916297/18*n^2-21048028535/9*n^3+3451603499/18*n^4-71274440
/9*n^5+1529206/9*n^6-17024/9*n^7+80/9*n^8)*p1+20*(7928094240-1938820120*n+
440123248/3*n^2-12492688/3*n^3+125336/3*n^4-464/3*n^5)*p1^3+60*(-39128594976+
14431720199*n-31453888699/18*n^2+273247846/3*n^3-40532677/18*n^4+82589/3*n^5-\
1256/9*n^6)*p2*p1+40*(102736801440-218611905793/4*n+231597972667/24*n^2-\
8959594453/12*n^3+224276915/8*n^4-1603430/3*n^5+30971/6*n^6-20*n^7)*p3+(7628800
-262400*n+1280*n^2)*p1^5
[8, 5, 2, 2]
160*p7*p4*p1^2-2880*p8*p4*p1+58240*p12*p1-1920*p11*p1^2-480*p7*p4*p2-1920*p7*p5
*p1+5760*p11*p2+34560*p8*p1^3+5760*p4*p3*p2^2+20480*p4*p3^2*p1+43200*p4^2*p2*p1
+23040*p5*p3*p2*p1+35840*p6*p3*p1^2+17600*p9*p4+17280*p8*p5+80/7*(4088-42*n)*p7
*p2*p1^2+40/3*(-144816+1344*n)*p6*p4*p1+8*(-80760+360*n)*p5*p4*p2+8*(13000-120*
n)*p5*p4*p1^2+20*(-66240+432*n)*p8*p2*p1-215040*p6*p3*p2+40*(-1145688624+
76336188*n-1406400*n^2+7356*n^3)*p4*p2*p1+80/3*(131277512-6528678*n+82788*n^2-\
348*n^3)*p3*p2*p1^2+40/3*(1957420-41880*n+192*n^2)*p4*p3*p1^2+10*(1387296-24480
*n)*p4*p2^2*p1+80/9*(1245600-15552*n)*p3^2*p2*p1+20/3*(-56448+864*n)*p3*p2^2*p1
^2+16*(1645280-36300*n+180*n^2)*p5*p2*p1^2+40/3*(-18101796+329400*n-720*n^2)*p4
*p3*p2+80/3*(-17439744+486024*n-2016*n^2)*p6*p2*p1+64/3*(-21870750+619800*n-\
3240*n^2)*p5*p3*p1+320/21*(-84294+420*n)*p7*p3*p1-122880*p5*p3^2+8960*p7*p6+20/
3*(-121776+1872*n)*p4*p2*p1^3-281600*p4^2*p3+80/3*(9683823360-814139058*n+
18270218*n^2-103916*n^3+96*n^4)*p4*p3+8/3*(-111600+720*n)*p5*p1^4+10*(-25021344
+787680*n-5280*n^2)*p4^2*p1+40*(136758096-6156228*n+63648*n^2-60*n^3)*p8*p1+160
/7*(155185884-10485993/2*n+28945*n^2-77/2*n^3)*p7*p2+160/7*(-15969492+3235477/6
*n-3668*n^2+35/6*n^3)*p7*p1^2+160/9*(198676464-6531840*n+30240*n^2)*p6*p3+32/5*
(-159000+1800*n)*p5^2*p1+40/3*(922320-4320*n)*p8*p3+80/7*(1399440-13034*n+14*n^
2)*p7*p4+160/9*(-91080+990*n)*p9*p1^2+32*(1055340-17160*n)*p10*p1+32*(-\
905869200+203548265/3*n-1471615*n^2+30625/3*n^3-25*n^4)*p5*p1^2-320*p7*p1^4-\
537600*p13-1600*p4^2*p1^3-1920*p4*p3*p2*p1^2-245760*p3^2*p1^3+3840*p3*p2*p1^4-\
10240/3*p1^7+8*(-15399120+310680*n-1080*n^2)*p5*p2^2+40/3*(116675760-6558204*n+
94880*n^2-356*n^3)*p4*p1^3+160/9*(-1275436476+83025888*n-1436688*n^2+6720*n^3)*
p3^2*p1+32*(8075023200-679006935*n+15430135*n^2-95185*n^3+165*n^4)*p5*p2+160/3*
(5866767228-560607334*n+16023560*n^2-151298*n^3+280*n^4)*p6*p1+80/3*(2538713952
-284669702*n+10026064*n^2-130130*n^3+624*n^4)*p2*p1^3+40*(-19675661280+
2663027868*n-112716696*n^2+1794300*n^3-9888*n^4)*p2^2*p1+160/3*(-16428828240+
14287252273/6*n-111790663*n^2+12403583/6*n^3-14653*n^4+40*n^5)*p3*p1^2+160/3*(
111024101520-39755863597/2*n+1103807668*n^2-44990329/2*n^3+148719*n^4-294*n^5)*
p3*p2+80*(79932600000-226586232782/15*n+2790386702/3*n^2-69470528/3*n^3+690490/
3*n^4-3646/5*n^5)*p4*p1+20/3*(-11510208+408528*n-3456*n^2)*p2^2*p1^3+20/3*(
125197920-5314032*n+51840*n^2)*p2^3*p1+160/81*(-17729280+207360*n)*p3^3+4/3*(
836960-15360*n)*p2*p1^5+320/3*(-646128100800+1040535732805/3*n-733671663173/12*
n^2+18366347341/4*n^3-625239663/4*n^4+27473957/12*n^5-70799/6*n^6+20*n^7)*p3+
160*(259265843712-297993393350/3*n+188447361263/15*n^2-2044561093/3*n^3+
50680745/3*n^4-185515*n^5+3944/5*n^6)*p2*p1+14720/3*p4*p1^5+32/3*(1511160-15120
*n)*p6*p5+40/7*(-24024+252*n)*p7*p2^2+160/9*(740520-5940*n)*p9*p2+20/9*(492480-\
7776*n)*p3*p2^3+80/9*(1512672-30240*n)*p6*p1^3+16*(230047860-8289260*n+57320*n^
2-60*n^3)*p5*p4+320/11*(-9609600+180246*n-66*n^2)*p11+40/3*(-1271740536+
67500756*n-807048*n^2+2520*n^3)*p3*p2^2+40/9*(-11373000+387600*n-1152*n^2)*p3*
p1^4+8/3*(-291860640+77302400/3*n-623360*n^2+9280/3*n^3)*p1^5+320*(-\
130767436800+2879689956572/15*n-3729624850531/45*n^2+659882677241/45*n^3-\
10956252071/9*n^4+2249898299/45*n^5-45522154/45*n^6+429464/45*n^7-112/3*n^8)*p1
+320/7*(-32297865600+11845274056/3*n-1723569337/12*n^2+6770799/4*n^3-47159/12*n
^4+35/12*n^5)*p7+320/9*(-1014773760+112215675/2*n-703395*n^2+1815/2*n^3)*p9+64*
(-301305404400+454033853801/6*n-37086952745/6*n^2+405588375/2*n^3-7746815/3*n^4
+29012/3*n^5-25/2*n^6)*p5+160/3*(-61960937472+267052618046/15*n-5233884812/3*n^
2+75574430*n^3-1529356*n^4+207904/15*n^5-160/3*n^6)*p1^3
[8, 4, 4]
-896*p7*p6+128*p7*p3^2+53760*p6*p3*p2+8960*p6*p4*p1+2304*p7*p2^2-1280*p4*p3^2*
p1+25600*p4^2*p3-1536*p3^3*p2-28672/3*p6*p1^3-101376*p3*p2^3-23040*p4*p2^2*p1+
256/21*(3507-42*n)*p7*p3*p1+64/3*(361284-6048*n)*p6*p2*p1+256/15*(829050-26610*
n+180*n^2)*p5*p3*p1+32/3*(1405920-33120*n)*p4*p3*p2+64/7*(-73500+420*n)*p7*p4+
32*(45876360-2418080*n+26880*n^2)*p4*p2*p1+64/3*(-2905824+124944*n-1440*n^2)*p3
*p2*p1^2+32/3*(-24720+480*n)*p4*p3*p1^2+128/15*(-85890+630*n)*p6*p5+64/9*(-\
79236+1728*n)*p3^2*p2*p1+128/5*(-17490+220*n)*p10*p1+32/3*(-123480+2160*n)*p8*
p3-2816*p10*p3+128/9*(63387066-4550040*n+103752*n^2-768*n^3)*p3^2*p1+128/45*(
21690-270*n)*p5*p3^2+26880*p13+4096/3*p3^2*p1^3+24576*p2^2*p1^3+128/7*(185325-\
4564*n+28*n^2)*p7*p1^2+128/7*(-8810613+269178*n-336*n^2)*p7*p2+128/9*(-14802753
+676998*n-7056*n^2)*p6*p3+32*(-4740840+179520*n-1440*n^2)*p8*p1+64/3*(-\
640786320+58874980*n-1562280*n^2+11840*n^3)*p4*p3+32/3*(-1406760+51360*n-480*n^
2)*p4*p1^3+128/5*(-503514270+42112470*n-854580*n^2+1440*n^3)*p5*p2+128/5*(
27370590-1578850*n+25360*n^2-120*n^3)*p5*p1^2+128/3*(-294288750+25506908*n-\
629328*n^2+4480*n^3)*p6*p1+128/3*(818213145-103484918*n+4231236*n^2-70808*n^3+
448*n^4)*p3*p1^2+8*(580800-11200*n)*p4^2*p1+32/3*(77229096-4332816*n+51840*n^2)
*p3*p2^2+128/3*(-7528383657+1352819780*n-76322484*n^2+1561216*n^3-8736*n^4)*p3*
p2+64*(-4976002860+2661852560/3*n-150878240/3*n^2+3234880/3*n^3-22240/3*n^4)*p4
*p1+16/3*(-2865888+48384*n)*p2^3*p1-506880*p9*p2+64/5*(-14091000+493200*n-1800*
n^2)*p5*p4+32/5*(657360-2160*n)*p5*p2^2+64/3*(-79259220+6250416*n-145008*n^2+
1152*n^3)*p2*p1^3+128*(-18401736060+20370092296/3*n-2447320024/3*n^2+121781600/
3*n^3-2509424/3*n^4+5504*n^5)*p2*p1+256*(10216206000-14817247544*n+56565554872/
9*n^2-9780934640/9*n^3+783986224/9*n^4-30015968/9*n^5+509824/9*n^6-2816/9*n^7)*
p1+32/15*(3304320-171520*n+2560*n^2)*p1^5+128/81*(2952801-128466*n+1296*n^2)*p3
^3+32/9*(54528-1536*n)*p3*p1^4+256/7*(2132130000-799841378/3*n+9931754*n^2-\
331576/3*n^3+28*n^4)*p7+256/9*(64234170-3741210*n+47520*n^2)*p9+32*(1082695032-\
129202864*n+4319232*n^2-38400*n^3)*p2^2*p1+256/5*(21141585465-15909534770/3*n+
436637400*n^2-42924460/3*n^3+163320*n^4-120*n^5)*p5+256/3*(48174890400-\
76737416450/3*n+13452333274/3*n^2-1011659908/3*n^3+34362100/3*n^4-158424*n^5+
1600/3*n^6)*p3+256/11*(600600-12012*n)*p11+128/3*(3816865260-2906172440/3*n+
79791824*n^2-8247328/3*n^3+42112*n^4-256*n^5)*p1^3
[8, 4, 3, 2]
11520*p5*p4*p1^2+32256*p6*p2^2*p1+21504*p6*p3*p1^2+34560*p4*p3*p2^2+38400*p4*p3
^2*p1+28800*p4^2*p2*p1+21504*p3^3*p2-967680*p6*p4*p1-460800*p4^2*p3+24/5*(-\
202000+1200*n)*p5*p4*p2+12*(-135168+1728*n)*p8*p2*p1+64/7*(-171234+4473/2*n-21/
2*n^2)*p7*p3*p1+48/7*(5012-56*n)*p7*p2*p1^2+16/3*(-269640+2016*n)*p6*p3*p2+16*(
-26629428+867216*n-6384*n^2)*p6*p2*p1+8*(-47827408+1350240*n-7920*n^2)*p4*p3*p2
+8*(1781280-33240*n+120*n^2)*p4*p3*p1^2+6*(2703360-57600*n)*p4*p2^2*p1+4*(-\
57760+960*n)*p4*p2*p1^3+64/5*(-32824740+1091115*n-11040*n^2+45*n^3)*p5*p3*p1+48
/5*(1724360-44600*n+240*n^2)*p5*p2*p1^2-1920*p4*p3*p2*p1^2+16*(165572324-\
9063844*n+161460*n^2-1072*n^3)*p3*p2*p1^2+24*(-1735715792+119091552*n-2454240*n
^2+16800*n^3)*p4*p2*p1+4*(-168096+3456*n)*p3*p2^2*p1^2+16/3*(3760356-110016*n+
792*n^2)*p3^2*p2*p1+8*(2802960-36828*n+108*n^2)*p8*p3+48/7*(2497040-16030*n+70*
n^2)*p7*p4+24/7*(-155176+672*n)*p7*p2^2-2304*p3^2*p2^2*p1+32/5*(2803080-20160*n
)*p6*p5+10368*p8*p5+96/25*(-159000+1800*n)*p5^2*p1+32/15*(-346320+2160*n)*p5*p3
^2-768*p7*p3^2+96/5*(1260380-20515*n+55*n^2)*p10*p1+32/3*(2047680-25920*n)*p9*
p2+32/3*(-49500+360*n)*p9*p1^2+32*(-23966195920+3368528417*n-158404557*n^2+
3311660*n^3-34684*n^4+160*n^5)*p3*p1^2+24*(-31275347424+4331439656*n-196242024*
n^2+3690784*n^3-26880*n^4)*p2^2*p1+16*(3154902448-983501420/3*n+11358924*n^2-\
513352/3*n^3+1088*n^4)*p2*p1^3+32*(187223751424-527810629303/15*n+2147607955*n^
2-159920410/3*n^3+547816*n^4-9504/5*n^5)*p3*p2+4*(216311904-11083392*n+145152*n
^2)*p2^3*p1+4*(-10869664+437952*n-4608*n^2)*p2^2*p1^3+4/5*(212480-5120*n)*p2*p1
^5+96/5*(-1117114780+78134470*n-1711900*n^2+15850*n^3-60*n^4)*p5*p1^2+16*(
16957046600-1556457892*n+42026992*n^2-399660*n^3+1440*n^4)*p4*p3+8*(100928000-\
4636360*n+55000*n^2-240*n^3)*p4*p1^3+32*(8908402860-849555105*n+25283349*n^2-\
297528*n^3+1344*n^4)*p6*p1+96/5*(14233755040-3916917170/3*n+34818040*n^2-898270
/3*n^3+520*n^4)*p5*p2+6*(-30643200+780000*n-2400*n^2)*p4^2*p1+4/3*(3748032-\
62208*n)*p3*p2^3+24*(189467472-8416896*n+102768*n^2-432*n^3)*p8*p1+16/3*(678720
-8064*n)*p6*p1^3+48/5*(416323040-15274900*n+104800*n^2-300*n^3)*p5*p4-645120*
p13-12288*p5*p1^4-106496*p3^2*p1^3+2048*p3*p2*p1^4-55296*p2^4*p1+9600*p9*p4+24/
5*(-39412720+1011600*n-2880*n^2)*p5*p2^2+32/5*(18060-180*n)*p5*p3*p2*p1+32/3*(
395969448-16215066*n+160650*n^2-504*n^3)*p6*p3+96/7*(-14854840+450849*n-3619*n^
2+14*n^3)*p7*p1^2+96/7*(309622264-37206659/3*n+107681*n^2-364/3*n^3)*p7*p2+192/
11*(-18258240+361218*n-858*n^2)*p11+8/3*(-6064128+155520*n-384*n^2)*p3*p1^4+32/
3*(-1976950332+141165573*n-3297315*n^2+34194*n^3-144*n^4)*p3^2*p1+8*(-\
2517952744+167480832*n-3154320*n^2+16704*n^3)*p3*p2^2+96*(425764733760-\
2462908389892/15*n+316518327332/15*n^2-1187340776*n^3+32058856*n^4-6366608/15*n
^5+35968/15*n^6)*p2*p1+48*(127767662944-24259361124*n+1521668972*n^2-40351208*n
^3+485520*n^4-2400*n^5)*p4*p1+192*p7*p3*p2*p1+192*(-217945728000+4812334325776/
15*n-697499554408/5*n^2+125245749584/5*n^3-32068213928/15*n^4+1387899584/15*n^5
-10384352/5*n^6+119296/5*n^7-1792/15*n^8)*p1+64/3*(-1803241440+106985685*n-\
1586565*n^2+6180*n^3)*p9+32/27*(-59703048+1966032*n-15552*n^2)*p3^3+32*(-\
95915897280+26602248524*n-7492594484/3*n^2+315629360/3*n^3-6700240/3*n^4+75136/
3*n^5-128*n^6)*p1^3+64*(-1074708311040+584590088352*n-1588080105322/15*n^2+
125561296012/15*n^3-943089010/3*n^4+16881040/3*n^5-223816/5*n^6+576/5*n^7)*p3-\
960*p7*p4*p2+8/5*(-230295040+15308160*n-269440*n^2+1280*n^3)*p1^5-1152*p7*p5*p1
+192/7*(-54949614720+7073621156*n-846064646/3*n^2+12267416/3*n^3-59626/3*n^4+28
/3*n^5)*p7-1728*p8*p3*p2-1920*p9*p3*p1-2112*p10*p2*p1+29952*p11*p2+34944*p12*p1
+10752*p7*p6+33792*p10*p3+192/5*(-503113490880+130095531781*n-33610382435/3*n^2
+1215163880/3*n^3-18874300/3*n^4+112732/3*n^5-40*n^6)*p5
[8, 4, 2, 2, 2]
43008*p6*p2*p1^3-387072*p6*p2^2*p1+64000*p4^2*p1^3-2560*p4*p3*p1^4+161280*p4*p3
*p2*p1^2-1894400*p4*p3^2*p1-1267200*p4^2*p2*p1-414720*p4*p3*p2^2-208896*p3^3*p2
+11264000*p4^2*p3+49152*p3^3*p1^2-3072*p3^2*p2*p1^3+27648*p3^2*p2^2*p1+256/15*(
8670-90*n)*p5*p3*p1^3+128/3*(-96516+1008*n)*p6*p3*p1^2+512/7*(877695-18109/2*n+
21/2*n^2)*p7*p3*p1+384/7*(-45640+252*n)*p7*p2*p1^2+64*(945840-6720*n)*p6*p4*p1+
128/3*(436716-3024*n)*p6*p3*p2+96*(525744-4320*n)*p8*p2*p1-422400*p9*p4+256/3*(
-4617360+47520*n)*p9*p2+192/5*(475800-1800*n)*p5*p4*p2+192/5*(-99800+600*n)*p5*
p4*p1^2+256/5*(-7868700+50400*n)*p6*p5-495616*p10*p3+768/5*(-6855970+126335*n-\
55*n^2)*p10*p1+768/25*(959700-6300*n)*p5^2*p1+256/15*(657240-1800*n)*p5*p3^2+
256/3*(817740-13860*n)*p9*p1^2+64*(-6771000+67788*n-108*n^2)*p8*p3+32*(-78384+
1152*n)*p8*p1^3-2304*p7*p3*p2*p1+192*(5805299056-435170160*n+9176000*n^2-49760*
n^3)*p4*p2*p1+128*(-808357392+51245120*n-921468*n^2+4272*n^3)*p3*p2*p1^2+32*(
862992-15552*n)*p3*p2^2*p1^2+32/3*(-88656+1728*n)*p3*p2*p1^4+384/7*(-7594440+
58310*n-70*n^2)*p7*p4+64*(112557112-2729400*n+10800*n^2)*p4*p3*p2+64*(-16875864
+531280*n-3000*n^2)*p4*p3*p1^2+192/7*(232764-1008*n)*p7*p2^2+48*(-9669120+
178560*n)*p4*p2^2*p1+32*(1200880-25440*n)*p4*p2*p1^3+128/3*(-12754902+305316*n-\
1080*n^2)*p3^2*p2*p1+128*(106131606-3444672*n+17136*n^2)*p6*p2*p1+512/5*(
139470570-4837775*n+30900*n^2-45*n^3)*p5*p3*p1+384/5*(-12488200+339960*n-1080*n
^2)*p5*p2*p1^2+20736*p8*p3*p2-6912*p8*p3*p1^2+32256*p7*p5*p1+11520*p7*p4*p2+256
*(-27489367290+2884194341*n-93125893*n^2+1019032*n^3-2240*n^4)*p6*p1+768/5*(
4869518700-1280729110/3*n+11597780*n^2-314390/3*n^3+140*n^4)*p5*p1^2+128*(-\
43180433260+11674382476/3*n-96187072*n^2+2000900/3*n^3-1440*n^4)*p4*p3+64*(-\
754087456+166304824/3*n-1247800*n^2+26000/3*n^3)*p4*p1^3+256/3*(6591190770-\
502701173*n+11146155*n^2-75218*n^3+144*n^4)*p3^2*p1+64/3*(98499828-6041472*n+
112368*n^2-640*n^3)*p3*p1^4+32*(-705928464+34910784*n-380160*n^2)*p2^3*p1+32*(
85351904-4171488*n+48384*n^2)*p2^2*p1^3+384*(-331629445040+66731868836*n-\
4472721148*n^2+374376728/3*n^3-1423120*n^4+14368/3*n^5)*p4*p1+256*(-\
450063864456+1268205387007/15*n-5001132663*n^2+335562538/3*n^3-882488*n^4+10656
/5*n^5)*p3*p2+256*(74421398328-59820590253/5*n+1959808907/3*n^2-15093484*n^3+
428644/3*n^4-1952/5*n^5)*p3*p1^2+128/9*(1746354-51588*n+288*n^2)*p3^2*p1^3+32/3
*(-5843232+93312*n)*p3*p2^3+192/5*(87976680-1932120*n+4320*n^2)*p5*p2^2+64/5*(
1383960-39800*n+240*n^2)*p5*p1^4+128/3*(-13507746+495936*n-4032*n^2)*p6*p1^3+
14622720*p13+663552*p2^4*p1+8192/3*p3*p1^6-73728*p2^3*p1^3+1536/11*(50370320-\
961818*n+858*n^2)*p11+256/5*(-48690+270*n)*p5*p3*p2*p1+256/3*(-1029331212+
38678850*n-259434*n^2+504*n^3)*p6*p3+768/7*(-787158876+29126825*n-193445*n^2+
140*n^3)*p7*p2+192*(-747824280+38151648*n-457872*n^2+624*n^3)*p8*p1+16/5*(-\
98400+1600*n)*p4*p1^5+48*(147842720-5039200*n+28000*n^2)*p4^2*p1+768/7*(
107403996-14164675/3*n+48559*n^2-98/3*n^3)*p7*p1^2+192*(86434257968-12720133448
*n+603458248*n^2-11057888*n^3+65280*n^4)*p2^2*p1+768*(-985562907840+
1964662917452/5*n-157464480772/3*n^2+9217097368/3*n^3-254280760/3*n^4+16003984/
15*n^5-14464/3*n^6)*p2*p1+1536*(463134672000-2067983156816/3*n+13701766308616/
45*n^2-2505691178864/45*n^3+217911913208/45*n^4-1913272000/9*n^5+213435104/45*n
^6-2295296/45*n^7+9472/45*n^8)*p1+128*(-12983431488+5102495996/3*n-75587292*n^2
+4122664/3*n^3-8768*n^4)*p2*p1^3+32/5*(-8873520+382880*n-3840*n^2)*p2*p1^5+64*(
6175562204-373879320*n+5713200*n^2-22464*n^3)*p3*p2^2+512/3*(4751827080-\
277524885*n+3658545*n^2-7260*n^3)*p9+1536/7*(136879302560-17578384796*n+
2027667334/3*n^2-25511024/3*n^3+75866/3*n^4-28/3*n^5)*p7-3840*p7*p4*p1^2+1536/5
*(1179813795160-307297932821*n+78775923655/3*n^2-2727211760/3*n^3+37078700/3*n^
4-155452/3*n^5+40*n^6)*p5-290304*p8*p5-129024*p7*p6-2816*p10*p1^3+119808*p11*p1
^2-359424*p11*p2+5120*p7*p3^2+64/7*(4788-56*n)*p7*p1^4+384/5*(-1134887040+
41872100*n-247600*n^2+300*n^3)*p5*p4+768/5*(-35983142640+3225225110*n-78944480*
n^2+526850*n^3-600*n^4)*p5*p2+25344*p10*p2*p1+256*(250319257920-1158528631316/
15*n+377139368924/45*n^2-1263938608/3*n^3+95527600/9*n^4-1948544/15*n^5+27776/
45*n^6)*p1^3+256*p7*p3*p1^3+512*(2383581957120-3932834077888/3*n+10740771829766
/45*n^2-280220187812/15*n^3+6035346454/9*n^4-31769200/3*n^5+2829704/45*n^6-576/
5*n^7)*p3+64/5*(1843412880-215311360*n+26031680/3*n^2-144640*n^3+2560/3*n^4)*p1
^5-2096640*p12*p1+69120*p8*p4*p1+32/105*(672000-17920*n)*p1^7+84480*p9*p3*p1+
256/27*(134009820-3419064*n+13824*n^2)*p3^3
[8, 3, 3, 3]
216*p7*p2^3+101088*p11*p2+32400*p9*p4-3240*p7*p4*p2-6480*p9*p2^2+3888*p7*p2*p1^
2+142560*p4*p3*p2^2+32400*p4^2*p2*p1+72576*p6*p2^2*p1-1283040*p8*p2*p1+564480*
p6*p1^3-38880*p9*p1^2+9745920*p3^2*p2*p1-51840*p7*p3*p1+12096*p7*p6+2799360*p4*
p3*p1^2-2032128*p6*p3*p2-483840*p6*p4*p1+324/5*(125880-360*n)*p5*p2*p1^2-518400
*p4^2*p3+54*(-10428860+359040*n-3240*n^2)*p4*p3*p2+81/2*(700640-17360*n+80*n^2)
*p4*p2^2*p1+108*(-3880240+106848*n-672*n^2)*p6*p2*p1+432/5*(-2213040+3600*n)*p5
*p3*p1+162/5*(-86600+600*n)*p5*p4*p2+162*(-250606080+52885600/3*n-422210*n^2+
12500/3*n^3-10*n^4)*p4*p2*p1-38707200*p3^3+27/5*(21200-240*n)*p5*p2^3-2160*p4*
p2^3*p1+162/7*(-126840+2366*n-14*n^2)*p7*p2^2+648/7*(-818216+3801*n-21*n^2)*p7*
p1^2+72*(56621768-1939392*n+15792*n^2)*p6*p3+72*(-216234960+10029600*n-74880*n^
2)*p3^2*p1+27*(47882880-10013416/3*n+81848*n^2-2240/3*n^3)*p2^3*p1+324/5*(
67882500-2744650*n+34400*n^2-150*n^3)*p5*p4+162/5*(-13212600+629060*n-10160*n^2
+60*n^3)*p5*p2^2+81/2*(-3350400+69200*n-400*n^2)*p4^2*p1+162*(20296320-590040*n
+3960*n^2)*p8*p1+648/7*(64309476-7005985/2*n+265685/4*n^2-1141/2*n^3+7/4*n^4)*
p7*p2-2592*p3*p2^4-725760*p13-73440*p4*p2*p1^3-378432*p3*p2^2*p1^2+2304*p2^3*p1
^3+41472*p2*p1^5+72*(630360-13050*n+90*n^2)*p9*p2+324*(17879488480-3312968400*n
+606612115/3*n^2-32589965/6*n^3+452405/6*n^4-2995/6*n^5+5/6*n^6)*p4*p1+216*(-\
2912795024+347127661*n-11853891*n^2+137618*n^3-528*n^4)*p3*p1^2+27/8*(-135808+
3072*n)*p2^4*p1+216*(1150808400-293880244/3*n+2472512*n^2-76664/3*n^3+84*n^4)*
p6*p1+648/5*(2378084400-252400765*n+19225885/2*n^2-363435/2*n^3+3575/2*n^4-15/2
*n^5)*p5*p2+9*(2113112-80352*n+816*n^2)*p3*p2^3+54*(-504475464+44086750*n-\
1424414*n^2+21604*n^3-132*n^4)*p3*p2^2+648/5*(-105935660+4689750*n-39840*n^2+90
*n^3)*p5*p1^2+108*(2556439560-238036755*n+7039445*n^2-92350*n^3+480*n^4)*p4*p3+
54*(6126720-120520*n+680*n^2)*p4*p1^3+144*(-281321040+34909155/2*n-1362375/4*n^
2+6255/2*n^3-45/4*n^4)*p9+1296/7*(-8306778480+3336883739/3*n-1202025181/24*n^2+
50098111/48*n^3-188741/16*n^4+1099/16*n^5-7/48*n^6)*p7+27*(-1110432+28544*n-128
*n^2)*p2^2*p1^3+216*(28472257248-11343650141/2*n+1586323105/4*n^2-26923093/2*n^
3+1035869/4*n^4-2800*n^5+27/2*n^6)*p3*p2+1296/5*(-74730335680+119183688805/6*n-\
5474387315/3*n^2+1862466515/24*n^3-7128715/4*n^4+96515/4*n^5-2215/12*n^6+5/8*n^
7)*p5+54/5*(-12316160+347520*n-1920*n^2)*p1^5+108*(332586288-27764228*n+703940*
n^2-6848*n^3+16*n^4)*p2*p1^3+162*(-4633455840+2050957900/3*n-109934962/3*n^2+
989244*n^3-42878/3*n^4+272/3*n^5)*p2^2*p1+648*(61934869120-72075162050/3*n+
6309479683/2*n^2-760356319/4*n^3+74005553/12*n^4-480817/4*n^5+16525/12*n^6-22/3
*n^7)*p2*p1+1296*(-32288256000+143045482516/3*n-376534391999/18*n^2+
138014115109/36*n^3-12340735411/36*n^4+594824945/36*n^5-16867159/36*n^6+149749/
18*n^7-266/3*n^8+4/9*n^9)*p1+15396480*p8*p3-2543616*p3*p1^4+108*(16063332-\
555456*n+3864*n^2)*p3*p2*p1^2+216/5*(430640-1680*n)*p6*p5+324/7*(502320-6055*n+
35*n^2)*p7*p4+1296/11*(-2962960+60489*n-429*n^2)*p11+432*(-158840514560+
263121391655/3*n-394087218853/24*n^2+67103255023/48*n^3-993130947/16*n^4+
25490345/16*n^5-1208701/48*n^6+1873/8*n^7-n^8)*p3+216*(-12793880960+9831926324/
3*n-799192244/3*n^2+26298412/3*n^3-127196*n^4+820*n^5-4/3*n^6)*p1^3+10378368*
p10*p1
[8, 3, 3, 2, 2]
32*(-20735616+575424*n-4320*n^2)*p3^2*p2*p1+48*(886200-3360*n)*p6*p4*p1+32*(
1332576-8064*n)*p6*p3*p2+24*(-148848+1344*n)*p6*p2^2*p1+77760*p4*p2^3*p1+144/5*
(1307100-4500*n)*p5*p4*p2+144/5*(-54100+300*n)*p5*p4*p1^2+72*(1146240-17640*n+
72*n^2)*p8*p2*p1+384/7*(881013-7854*n+42*n^2)*p7*p3*p1+288/7*(-91616+1267*n-7*n
^2)*p7*p2*p1^2+96*(-895971680+57696937*n-1303792*n^2+13908*n^3-57*n^4)*p3*p2*p1
^2+6733824*p3^2*p1^3+144*(7483297320-592827870*n+15813453*n^2-185130*n^3+795*n^
4)*p4*p2*p1+96*(153269088-6068412*n+74844*n^2-336*n^3)*p6*p2*p1+384/5*(
156070305-5108820*n+50280*n^2-180*n^3)*p5*p3*p1+288/5*(-15057260+491410*n-5680*
n^2+30*n^3)*p5*p2*p1^2+48*(217515042-6627900*n+46200*n^2)*p4*p3*p2+48*(-\
12772750+280380*n-1920*n^2)*p4*p3*p1^2+36*(-22756512+696960*n-4800*n^2)*p4*p2^2
*p1+24*(1128600-24600*n+120*n^2)*p4*p2*p1^3-4608*p7*p3*p2*p1+72/5*(11560-120*n)
*p5*p2^2*p1^2+24*(1975372-51240*n+336*n^2)*p3*p2^2*p1^2+9216*p7*p3^2-331200*p9*
p4+192/5*(-117240+720*n)*p5*p3*p2*p1-364800*p3*p2*p1^4+155520*p4*p3*p2*p1^2+144
/7*(1555764-18368*n+56*n^2)*p7*p2^2+192/5*(-11419380+57960*n)*p6*p5+48*(-\
10364760+108432*n-432*n^2)*p8*p3+288/7*(-10778040+67445*n-245*n^2)*p7*p4+64*(
559080-7065*n+45*n^2)*p9*p1^2+576/5*(-7307850+128700*n-660*n^2)*p10*p1+64*(-\
11335140+184320*n-720*n^2)*p9*p2-217728*p8*p5+10368*p3*p2^4+3072*p2^2*p1^5-\
32640*p4*p1^5+144*(-860753880+42251850*n-643023*n^2+4302*n^3-9*n^4)*p8*p1+576/7
*(-1323934542+243890157/4*n-6473383/8*n^2+16639/4*n^3-49/8*n^4)*p7*p2+14400*p4^
2*p1^3+64/5*(1020960-4320*n)*p5*p3^2+24/5*(-164520+1080*n)*p5*p2^3+576/25*(
959700-6300*n)*p5^2*p1-405504*p3^3*p2+48*(10207835004-775803940*n+19178666*n^2-\
187636*n^3+510*n^4)*p3*p2^2+16*(55027884-1988376*n+12480*n^2)*p3*p1^4+24*(-\
1217301696+83134368*n-1924128*n^2+16128*n^3)*p2^3*p1+24*(94707408-5310712*n+
105272*n^2-832*n^3)*p2^2*p1^3+24/5*(-4624400+133120*n-640*n^2)*p2*p1^5+288*(-\
424905690240+256071333511/3*n-34918815847/6*n^2+1070366473/6*n^3-8451853/3*n^4+
47411/2*n^5-165/2*n^6)*p4*p1+192*(-609256429560+2396475992341/20*n-62887548511/
8*n^2+225799318*n^3-25522069/8*n^4+433079/20*n^5-93/2*n^6)*p3*p2+192*(
87732447144-53953848439/4*n+5735620017/8*n^2-35706437/2*n^3+1938007/8*n^4-7323/
4*n^5+6*n^6)*p3*p1^2+144*(112814252784-259369938002/15*n+2784234455/3*n^2-\
70916294/3*n^3+937585/3*n^4-8936/5*n^5)*p2^2*p1+96*(-13757467968+1686688311*n-\
147505745/2*n^2+1573941*n^3-36975/2*n^4+100*n^5)*p2*p1^3+192*(-33726660450+
3480427335*n-236119065/2*n^2+1791111*n^3-27111/2*n^4+42*n^5)*p6*p1+576/5*(-\
51627388080+10206494255/2*n-640502375/4*n^2+8372025/4*n^3-47705/4*n^4+105/4*n^5
)*p5*p2+576/5*(5061513660-811249835/2*n+43637805/4*n^2-564175/4*n^3+4055/4*n^4-\
15/4*n^5)*p5*p1^2+96*(-59435454600+5611803913*n-159535643*n^2+1754050*n^3-7320*
n^4)*p4*p3+48*(-610230744+36056470*n-676985*n^2+5890*n^3-15*n^4)*p4*p1^3+64*(
7928219634-593622768*n+14536524*n^2-159912*n^3+720*n^4)*p3^2*p1+576/7*(93499098
-13912675/4*n+349713/8*n^2-1225/4*n^3+7/8*n^4)*p7*p1^2+64*(-1485435168+58781520
*n-589176*n^2+2016*n^3)*p6*p3+32*(-7744464+170352*n-1008*n^2)*p6*p1^3+288/5*(-\
1611651090+60526550*n-497000*n^2+1050*n^3)*p5*p4+144/5*(218652780-7765880*n+
73040*n^2-240*n^3)*p5*p2^2+36*(160434960-4863600*n+34800*n^2)*p4^2*p1+8*(-\
28848204+765720*n-3456*n^2)*p3*p2^3+4*(-168912+3456*n)*p2^3*p1^3+288*p7*p2^2*p1
^2+24192*p7*p5*p1+21600*p7*p4*p2-1440*p7*p4*p1^2+46080*p9*p3*p1-5760*p9*p2*p1^2
+25920*p8*p4*p1+41472*p8*p3*p2-5184*p8*p2^2*p1+152064*p10*p2*p1+576*(-\
1295760614400+1559285728591/3*n-70723798880*n^2+261979949347/60*n^3-1672740665/
12*n^4+10065271/4*n^5-311575/12*n^6+614/5*n^7)*p2*p1+3*(2984256-69120*n)*p2^4*
p1+48/5*(413160-1080*n)*p5*p1^4-3456*p3*p2^3*p1^2-1354752*p6*p3*p1^2+64512*p6*
p2*p1^3-1944000*p4^2*p2*p1-1013760*p4*p3^2*p1-1595520*p4*p3*p2^2+92160*p3^2*p2^
2*p1+18432*p1^7-2880*p4*p2^2*p1^3+1728*p7*p1^4+16450560*p13+64/9*(205927056-\
5601312*n+41472*n^2)*p3^3+128*(6652966320-1626984855/4*n+54316485/8*n^2-172125/
4*n^3+675/8*n^4)*p9+1152/5*(1575742208040-1682865167519/4*n+303108555735/8*n^2-\
11872048345/8*n^3+221491435/8*n^4-1038041/4*n^5+4555/4*n^6-15/8*n^7)*p5+1152/7*
(185678613120-24786944532*n+8422424675/8*n^2-288756615/16*n^3+2254147/16*n^4-\
7497/16*n^5+7/16*n^6)*p7+48/5*(1364820720-121260160*n+3317040*n^2-31840*n^3+80*
n^4)*p1^5+384*(3171955681440-3532509239803/2*n+13210404406313/40*n^2-\
2188821675051/80*n^3+17841826713/16*n^4-378313619/16*n^5+21634049/80*n^6-62207/
40*n^7+3*n^8)*p3+1152*(617512896000-2764639356766/3*n+2459998216939/6*n^2-\
4570967465993/60*n^3+137156637629/20*n^4-19526519869/60*n^5+104146727/12*n^6-\
4125641/30*n^7+19222/15*n^8-28/5*n^9)*p1+1152/11*(73513440-1447875*n+6435*n^2)*
p11-864*p7*p2^3+192*(311014656000-462791685273/5*n+19215881875/2*n^2-468701090*
n^3+24700933/2*n^4-959977/5*n^5+1784*n^6-8*n^7)*p1^3-608256*p10*p3-1392768*p11*
p2+44928*p11*p1^2-601344*p8*p1^3+48960*p9*p2^2-145152*p7*p6-1572480*p12*p1+
10828800*p4^2*p3
[8, 3, 2, 2, 2, 2]
47431680*p4*p3^2*p1-2534400*p4^2*p1^3+60019200*p4^2*p2*p1+122880*p4*p3*p1^4-\
267264000*p4^2*p3+27601920*p4*p3*p2^2+253440*p4*p2^2*p1^3+6979584*p3^3*p2-\
124416*p3*p2^4-1916928*p3^2*p2^2*p1-1179648*p3^3*p1^2+14598144*p10*p3-1762560*
p4*p2^3*p1-9062400*p4*p3*p2*p1^2+172032*p3^2*p2*p1^3+8409600*p9*p4+82944*p3*p2^
3*p1^2-3840*p4*p2*p1^5+1935360*p7*p6+256*(79698640-2090256*n+9840*n^2)*p3^2*p2*
p1+192*(-10000324+248304*n-936*n^2)*p3*p2^2*p1^2+64*(1115398-25680*n+132*n^2)*
p3*p2*p1^4+3072/5*(-634494840+22402310*n-173240*n^2+330*n^3)*p5*p3*p1+2304/5*(
81892920-2866325*n+26380*n^2-75*n^3)*p5*p2*p1^2+384*(-591436558+16638200*n-\
91100*n^2)*p4*p3*p2+384*(86661796-2690680*n+17680*n^2)*p4*p3*p1^2+288*(79291936
-2262180*n+12900*n^2)*p4*p2^2*p1+192*(-10383016+301580*n-2060*n^2)*p4*p2*p1^3+
768*(-568084104+22568070*n-237006*n^2+840*n^3)*p6*p2*p1+1152*(-24376597312+
6129580244/3*n-53996700*n^2+1637560/3*n^3-1880*n^4)*p4*p2*p1+768*(3847246114-\
1685483797/6*n+13212897/2*n^2-177337/3*n^3+138*n^4)*p3*p2*p1^2+576/5*(-57720+
360*n)*p5*p2^2*p1^2+192/5*(6260-60*n)*p5*p2*p1^4+1152/5*(546200-1800*n)*p5*p4*
p1^2+512/5*(-57720+360*n)*p5*p3*p1^3+576*(-4461168+61812*n-180*n^2)*p8*p2*p1+
3072/7*(-4419380+39053*n-77*n^2)*p7*p3*p1+2304/7*(593810-14707/2*n+35/2*n^2)*p7
*p2*p1^2+384*(-4497360+20160*n)*p6*p4*p1+256*(-3388896+18816*n)*p6*p3*p2+256*(
556752-4032*n)*p6*p3*p1^2+192*(492912-4032*n)*p6*p2^2*p1+128*(-67032+672*n)*p6*
p2*p1^3+1152/5*(-3319300+7500*n)*p5*p4*p2-4608*p3*p2^2*p1^4+384*(-27055719460+
3933723135/2*n-87486925/2*n^2+356015*n^3-648*n^4)*p3*p2^2+192*(-532351072+
34541964*n-725516*n^2+5408*n^3)*p2^2*p1^3+2304*(1137291612720-720489210982/3*n+
51871145456/3*n^2-3297007727/6*n^3+50067017/6*n^4-358013/6*n^5+325/2*n^6)*p4*p1
+1536*(1537645319796-9132672985511/30*n+117991690519/6*n^2-3181868071/6*n^3+
39197237/6*n^4-1093289/30*n^5+105/2*n^6)*p3*p2+1152*(-317155177392+764194225006
/15*n-2810959038*n^2+208223260/3*n^3-815752*n^4+19808/5*n^5)*p2^2*p1+768*(
51499775640-111555300286/15*n+1156765439/3*n^2-27914846/3*n^3+331405/3*n^4-8344
/15*n^5)*p2*p1^3+64*(68986818-1615680*n+4860*n^2)*p3*p2^3+24*(-8920800+186624*n
)*p2^4*p1+48/5*(-107920+1920*n)*p2^2*p1^5+1536*(103918132920-11569008514*n+
415931733*n^2-6027098*n^3+36603*n^4-84*n^5)*p6*p1+384/5*(-9641250+313445*n-3140
*n^2+15*n^3)*p5*p1^4+288*(-661798560+22413400*n-141400*n^2)*p4^2*p1+96/5*(
956800-19300*n+100*n^2)*p4*p1^5+512*(4217017140-163122036*n+1374492*n^2-3696*n^
3)*p6*p3+2304/5*(4592391090-169692875*n+1144100*n^2-1425*n^3)*p5*p4+1152*(
3188157120-172228008*n+2551098*n^2-12708*n^3+18*n^4)*p8*p1+4608/7*(3613037358-\
947682253/6*n+3630767/2*n^2-22645/3*n^3+7*n^4)*p7*p2+384*(3421199376-275644378*
n+7378024*n^2-81740*n^3+350*n^4)*p4*p1^3+512*(-26454125800+2149969458*n-\
53644390*n^2+486724*n^3-1344*n^4)*p3^2*p1+4608/5*(-19967036910+11327937035/6*n-\
59035485*n^2+4606975/6*n^3-8435/2*n^4+15/2*n^5)*p5*p1^2+768*(159707124420-\
30163949221/2*n+819273791/2*n^2-3822685*n^3+12200*n^4)*p4*p3+512/5*(-2928480+
7200*n)*p5*p3^2+192/5*(350460-1620*n)*p5*p2^3+1536/5*(33508440-131880*n)*p6*p5+
512*(-4751550+168345/2*n-585/2*n^2)*p9*p1^2+384*(30612960-300312*n+792*n^2)*p8*
p3+192*(595584-9252*n+36*n^2)*p8*p1^3+2304/7*(32275320-373625/2*n+665/2*n^2)*p7
*p4+1152/7*(-3699808+76419/2*n-147/2*n^2)*p7*p2^2+384/7*(-59108+1351/2*n-7/2*n^
2)*p7*p1^4-6912*p7*p2^2*p1^2+384*p7*p2*p1^4-516096*p7*p5*p1-288000*p7*p4*p2+
69120*p7*p4*p1^2-6144*p7*p3*p1^3-4460544*p10*p2*p1-2334720*p9*p3*p1+322560*p9*
p2*p1^2-1244160*p8*p4*p1-774144*p8*p3*p2+165888*p8*p3*p1^2+124416*p8*p2^2*p1-\
13824*p8*p2*p1^3-262144*p3*p1^6+4096*p2*p1^7-394813440*p13+202752*p10*p1^3+32*(
1151856-24192*n)*p2^3*p1^3+256/3*(-10434504+280656*n-1728*n^2)*p3^2*p1^3+1536*(
-269816420856+692928414971/15*n-33257920445/12*n^2+227353639/3*n^3-12206893/12*
n^4+191413/30*n^5-12*n^6)*p3*p1^2+192/5*(64305880-10979750/3*n+66210*n^2-1360/3
*n^3)*p2*p1^5+9216*(-1389404016000+6285447855310/3*n-85164614003327/90*n^2+
32215931516839/180*n^3-2953143483209/180*n^4+141955341499/180*n^5-3760153121/
180*n^6+28328843/90*n^7-118354/45*n^8+148/15*n^9)*p1+4608*(3144571275600-\
6498598380424/5*n+16469579095313/90*n^2-46682157577/4*n^3+13582235801/36*n^4-\
391859177/60*n^5+10781449/180*n^6-722/3*n^7)*p2*p1+1152/5*(-564036430+18187185*
n-140820*n^2+315*n^3)*p5*p2^2+4608/5*(137228620200-80404559065/6*n+790068565/2*
n^2-13317145/3*n^3+20360*n^4-30*n^5)*p5*p2+4608/7*(-515614512+24533110*n-\
1348095/4*n^2+3255/2*n^3-7/4*n^4)*p7*p1^2+256*(75808152-3085278*n+37254*n^2-168
*n^3)*p6*p1^3+128*(-509641312+69356467/2*n-1551017/2*n^2+7139*n^3-24*n^4)*p3*p1
^4+192*(3901594008-262079046*n+5541606*n^2-39888*n^3)*p2^3*p1+384/5*(-\
7952354400+3084837130/3*n-144711230/3*n^2+3161380/3*n^3-34000/3*n^4+160/3*n^5)*
p1^5+86016*p7*p3*p2*p1+512/9*(-592786800+15075936*n-72576*n^2)*p3^3+9216/5*(-\
3883491431820+2096057822247/2*n-377326378115/4*n^2+86162945405/24*n^3-122500405
/2*n^4+5795723/12*n^5-6785/4*n^6+15/8*n^7)*p5+1024*(-18442684260+2239695195/2*n
-34465995/2*n^2+87135*n^3-135*n^4)*p9+9216/11*(-214414200+8195187/2*n-27027/2*n
^2)*p11+4608/25*(-4575200+16800*n)*p5^2*p1+4608/5*(33262680-625130*n+2090*n^2)*
p10*p1+512*(30106260-891225/2*n+2745/2*n^2)*p9*p2+1536/5*(437360-1680*n)*p5*p3*
p2*p1+64/35*(-5971840+216160*n-1120*n^2)*p1^7+9216/7*(-485249965200+65099165159
*n-64889267065/24*n^2+2027534873/48*n^3-13041217/48*n^4+34783/48*n^5-7/16*n^6)*
p7+1536*(-830728275840+1345734291252/5*n-468807032803/15*n^2+26121840224/15*n^3
-156411307/3*n^4+4379638/5*n^5-40284/5*n^6+496/15*n^7)*p1^3+3072*(-\
7422535083600+8364265433657/2*n-31541349639503/40*n^2+15630312292373/240*n^3-\
123722965631/48*n^4+806449863/16*n^5-119001227/240*n^6+279581/120*n^7-3*n^8)*p3
-122880*p7*p3^2+4644864*p8*p5-3840*p9*p1^4-864000*p9*p2^2+10368*p7*p2^3-5031936
*p11*p1^2+27675648*p11*p2+67092480*p12*p1+43008*p6*p1^5
[8, 2, 2, 2, 2, 2, 2]
-5120*p4*p1^7-142540800*p3^3*p2+2488320*p3*p2^4-8355840*p3^2*p2*p1^3+39321600*
p3^3*p1^2+48660480*p3^2*p2^2*p1+16384/3*p1^9-6144*p3*p2*p1^6-2488320*p3*p2^3*p1
^2+196608*p3^2*p1^5-351436800*p10*p3-754790400*p11*p2+251596800*p11*p1^2-27648*
p8*p1^5+276480*p3*p2^2*p1^4+512*p7*p1^6-17571840*p10*p1^3+30720*(-2982439096+
471813137/2*n-11541833/2*n^2+47515*n^3-81*n^4)*p3*p2*p1^2+46080*(15880765308-\
1397546258*n+37764577*n^2-364870*n^3+1095*n^4)*p4*p2*p1+7680*(9811083-233982*n+
648*n^2)*p3*p2^2*p1^2+2560*(-2005529+52134*n-180*n^2)*p3*p2*p1^4+24576*(
465970256-16573134*n+109928*n^2-150*n^3)*p5*p3*p1+18432*(-77264617+2864187*n-\
24360*n^2+45*n^3)*p5*p2*p1^2+15360*(367396595-9965010*n+46140*n^2)*p4*p3*p2+
15360*(-81364625+2630770*n-13760*n^2)*p4*p3*p1^2+11520*(-61859292+1745460*n-\
8820*n^2)*p4*p2^2*p1+7680*(13144544-421860*n+2580*n^2)*p4*p2*p1^3+10240*(-\
60842948+1516344*n-5328*n^2)*p3^2*p2*p1+30720*(421657236-17233986*n+174258*n^2-\
504*n^3)*p6*p2*p1+122880/7*(3507224-26691*n+35*n^2)*p7*p3*p1+92160/7*(-659554+
15897/2*n-21/2*n^2)*p7*p2*p1^2+15360*(3602340-11760*n)*p6*p4*p1+10240*(2152584-\
10080*n)*p6*p3*p2+10240*(-605640+3360*n)*p6*p3*p1^2+7680*(-413532+3024*n)*p6*p2
^2*p1+5120*(107604-1008*n)*p6*p2*p1^3+9216*(2087610-3150*n)*p5*p4*p2+9216*(-\
606830+1050*n)*p5*p4*p1^2+4096*(94180-300*n)*p5*p3*p1^3+4608*(60570-270*n)*p5*
p2^2*p1^2+1536*(-15150+90*n)*p5*p2*p1^4+23040*(3688992-50652*n+108*n^2)*p8*p2*
p1+354816000*p4*p3*p2*p1^2-1843200*p7*p3*p2*p1+11520*(486954360-16649400*n+
87800*n^2)*p4^2*p1+768*(-2617268+92740*n-740*n^2)*p4*p1^5+46080*(-2217207312+
124955466*n-1841043*n^2+8274*n^3-9*n^4)*p8*p1+18432*(-2746956093+99366715*n-\
581140*n^2+525*n^3)*p5*p4+9216*(358159167-11427489*n+81180*n^2-135*n^3)*p5*p2^2
+3072*(15737231-662985*n+7220*n^2-15*n^3)*p5*p1^4+15360*(-2934979172+806280320/
3*n-8092039*n^2+280330/3*n^3-335*n^4)*p4*p1^3+184320/7*(-2194960635+384953289/4
*n-8614543/8*n^2+15785/4*n^3-21/8*n^4)*p7*p2+184320/7*(445755765-278291293/12*n
+2606821/8*n^2-15701/12*n^3+7/8*n^4)*p7*p1^2+20480*(-2523036642+95843832*n-\
735924*n^2+1680*n^3)*p6*p3+10240*(-86240364+4090254*n-52374*n^2+168*n^3)*p6*p1^
3+46080*(183222034056-154399147484/5*n+1784268599*n^2-45241370*n^3+520791*n^4-\
11496/5*n^5)*p2^2*p1+30720*(-35268855768+84408581699/15*n-648621297/2*n^2+
25752533/3*n^3-211695/2*n^4+2452/5*n^5)*p2*p1^3+20480*(17158230280-4372749482/3
*n+36626186*n^2-899476/3*n^3+624*n^4)*p3^2*p1+7680*(-2722322628+190238022*n-\
4003614*n^2+26064*n^3)*p2^3*p1+1536*(-94026052+6859450*n-155458*n^2+1072*n^3)*
p2*p1^5+61440*(-816172960194+1973512620955/12*n-85950829791/8*n^2+1733370337/6*
n^3-27541929/8*n^4+69731/4*n^5-39/2*n^6)*p3*p2+61440*(162661298214-119312054799
/4*n+46251431879/24*n^2-168551281/3*n^3+18451981/24*n^4-52721/12*n^5+6*n^6)*p3*
p1^2+10240/3*(13151868-378360*n+1536*n^2)*p3^2*p1^3+2560*(-44891361+971838*n-\
2268*n^2)*p3*p2^3+512/3*(376371-10134*n+48*n^2)*p3*p1^6+960*(7124976-134784*n)*
p2^4*p1+1280*(-1460052+28512*n)*p2^3*p1^3+384*(273432-5184*n)*p2^2*p1^5+256/7*(
-44492+672*n)*p2*p1^7+61440*(-63623918316+7434953925*n-555954161/2*n^2+4022109*
n^3-45031/2*n^4+42*n^5)*p6*p1+4096*(1691752-3000*n)*p5*p3^2+1536*(-227070+810*n
)*p5*p2^3+512/5*(3370-30*n)*p5*p1^6+15360/7*(164276-5271/2*n+7/2*n^2)*p7*p1^4+
512*(-25788+336*n)*p6*p1^5+36864/5*(3671640-7560*n)*p5^2*p1+20480*(5058900-\
188595/2*n+495/2*n^2)*p9*p1^2+15360*(-18917664+170856*n-360*n^2)*p8*p3+7680*(-\
940848+16740*n-36*n^2)*p8*p1^3+92160/7*(-19869360+188405/2*n-245/2*n^2)*p7*p4+
46080/7*(2479680-47943/2*n+63/2*n^2)*p7*p2^2+36864*(-26160420+493350*n-1430*n^2
)*p10*p1+20480*(-19494090+571725/2*n-1485/2*n^2)*p9*p2-1873152000*p4^2*p2*p1-\
1308262400*p4*p3^2*p1-644198400*p4*p3*p2^2-15564800*p4*p3*p1^4+51840000*p4*p2^3
*p1-13132800*p4*p2^2*p1^3+599040*p4*p2*p1^5-3732480*p8*p2^2*p1+829440*p8*p2*p1^
3+9289728*p7*p5*p1+4838400*p7*p4*p2+204800*p7*p3*p1^3+207360*p7*p2^2*p1^2-23040
*p7*p2*p1^4+29030400*p8*p4*p1+16588800*p8*p3*p2-5529600*p8*p3*p1^2-15206400*p9*
p2*p1^2+158146560*p10*p2*p1+67584000*p9*p3*p1+10001940480*p13+36864*(-\
77783166972+7698200340*n-906556217/4*n^2+9839333/4*n^3-40665/4*n^4+45/4*n^5)*p5
*p2+30720*(-90083219606+51430942219/6*n-457944995/2*n^2+5933995/3*n^3-5360*n^4)
*p4*p3+36864*(14180367762-4380882616/3*n+196974147/4*n^2-7836317/12*n^3+12595/4
*n^4-15/4*n^5)*p5*p1^2+7680*(510974260-37163916*n+830580*n^2-5664*n^3)*p2^2*p1^
3+92160*(-624992175312+137286818331*n-61900902127/6*n^2+2040573791/6*n^3-\
5188966*n^4+208663/6*n^5-485/6*n^6)*p4*p1+15360*(15959014162-2348842275/2*n+
51411909/2*n^2-190551*n^3+270*n^4)*p3*p2^2+5120*(554155510-270913249/6*n+
2379337/2*n^2-33577/3*n^3+24*n^4)*p3*p1^4+184320*(-1594802718504+3388181815541/
5*n-493133092376/5*n^2+391825772533/60*n^3-2624947643/12*n^4+230766863/60*n^5-\
2053073/60*n^6+626/5*n^7)*p2*p1+368640*(659966907600-3015921499018/3*n+
13831558850383/30*n^2-16005654285149/180*n^3+1502045108147/180*n^4-74163905977/
180*n^5+2014999307/180*n^6-15310073/90*n^7+61862/45*n^8-212/45*n^9)*p1+12288*(-\
20682228+56196*n)*p6*p5+40960*(10749196458-2611904295/4*n+78239205/8*n^2-185955
/4*n^3+495/8*n^4)*p9+73728*(2008082202126-33014672543677/60*n+400681886639/8*n^
2-15263116315/8*n^3+765584293/24*n^4-14278973/60*n^5+8905/12*n^6-5/8*n^7)*p5+
61440*(450522932904-2322323449307/15*n+348177587023/18*n^2-5864872448/5*n^3+
689812165/18*n^4-3459521/5*n^5+58688/9*n^6-376/15*n^7)*p1^3+368640/11*(
131915784-4915911/2*n+15015/2*n^2)*p11+22809600*p9*p2^2+20480/9*(358698180-\
8476488*n+31680*n^2)*p3^3-28385280*p7*p6-1612800*p7*p4*p1^2+122880*(
3654804040524-62626867532107/30*n+143679331807481/360*n^2-532970734377/16*n^3+
190185622343/144*n^4-2033713553/80*n^5+171733483/720*n^6-24211/24*n^7+n^8)*p3+
2048000*p7*p3^2+3072*(6781649736-5147590646/5*n+174038254/3*n^2-4597060/3*n^3+
57056/3*n^4-1312/15*n^5)*p1^5+512/7*(16760212-3531416/3*n+25088*n^2-448/3*n^3)*
p1^7+368640/7*(265934460792-216657815353/6*n+12001573759/8*n^2-366095849/16*n^3
+6667367/48*n^4-15589/48*n^5+7/48*n^6)*p7+12288*(-342012+900*n)*p5*p3*p2*p1+
6033408000*p4^2*p3-207360*p7*p2^3-2281144320*p12*p1-177408000*p9*p4+175872000*
p4^2*p1^3-83607552*p8*p5+844800*p9*p1^4
[7, 7, 2]
-882*p6*p2^2*p1-1568*p6*p3*p1^2+7056*p7*p2^2+40768*p7*p3*p1+26460*p8*p2*p1+
21560*p9*p1^2+12348*p5^2*p1+16464*p6*p3*p2-345744*p5*p2*p1^2-362208*p3^2*p2*p1+
1536640*p3^3-74088*p3*p2^3+49/6*(6300-120*n)*p6*p4*p1+49/2*(74487000-4263070*n+
65090*n^2-420*n^3)*p4*p2*p1+7*(-82320+1120*n)*p7*p4+49/3*(-6238512+223248*n-\
1008*n^2)*p3*p2*p1^2+98/15*(-89040+1260*n)*p6*p5+98/5*(-48510+660*n)*p10*p1+49/
8*(-52920+720*n)*p4*p2^2*p1+49/3*(849744-19086*n+126*n^2)*p6*p2*p1+196/15*(
1144290-22680*n)*p5*p3*p1+49/6*(1164240-10080*n)*p4*p3*p2+49/6*(-70560+960*n)*
p4*p3*p1^2+98/9*(-14319984+425880*n-1764*n^2)*p6*p3+49/9*(-33168+504*n)*p6*p1^3
+49/5*(-16478700+546700*n-4200*n^2)*p5*p4+49/10*(904680-7560*n)*p5*p2^2+49/8*(
1333500-39200*n+400*n^2)*p4^2*p1+49/2*(-8091594+313920*n-2520*n^2)*p8*p1+14*(-\
10700424+309848*n-1176*n^2)*p7*p2+14*(647640-15680*n)*p7*p1^2+49*(-6790962528+
2389230795/2*n-265707355/4*n^2+4242185/3*n^3-43925/4*n^4+245/6*n^5)*p4*p1+98/3*
(-428144970+73271851/2*n-3563039/4*n^2+12677/2*n^3-49/4*n^4)*p6*p1+98/5*(-\
640720080+50182790*n-1010520*n^2+4410*n^3)*p5*p2+49/3*(-777556500+61815880*n-\
1275540*n^2+5880*n^3)*p4*p3+49/6*(-5003880+210520*n-1680*n^2)*p4*p1^3+98/9*(
84503454-4726512*n+56448*n^2)*p3^2*p1+49/6*(92619576-4279968*n+31752*n^2)*p3*p2
^2+49/18*(304896-8064*n)*p3*p1^4+49/12*(262512-3024*n)*p2^2*p1^3+49/2*(
1549544136-188665595*n+13585931/2*n^2-85197*n^3+1029/2*n^4)*p2^2*p1+49/12*(-\
6565104+216540*n-2268*n^2)*p2^3*p1+98/5*(53202240-3256400*n+47040*n^2)*p5*p1^2-\
452760*p9*p2+98*p6^2*p1+49/3*(-157385592+14195924*n-346248*n^2+1764*n^3)*p2*p1^
3-1568*p7*p6-1274*p12*p1+98/3*(1236847500-157791012*n+6084142*n^2-75404*n^3+98*
n^4)*p3*p1^2+98/3*(-9772900956+1668784964*n-86794701*n^2+1575252*n^3-7203*n^4)*
p3*p2-493920*p8*p3+49/30*(12782520-806960*n+11760*n^2)*p1^5+196/11*(645645-\
12012*n)*p11+98*(-24415110720+8946513656*n-4250230945/4*n^2+1258682129/24*n^3-\
8904231/8*n^4+227311/24*n^5-343/8*n^6)*p2*p1+196*(13343616000-2316138364951/120
*n+2341228116943/288*n^2-399546595015/288*n^3+125815343369/1152*n^4-1484823557/
360*n^5+41492269/576*n^6-150577/288*n^7+2401/1152*n^8)*p1+28*(2716048335-\
950097386/3*n+32502365/3*n^2-350350/3*n^3+343/3*n^4)*p7+98/3*(5387307840-\
4244093867/3*n+728025121/6*n^2-25557077/6*n^3+348047/6*n^4-343/2*n^5)*p1^3+196/
3*(63054875520-198035498059/6*n+67548280415/12*n^2-2429732207/6*n^3+77785295/6*
n^4-169785*n^5+2401/4*n^6)*p3+196/9*(77071995-4012470*n+48510*n^2)*p9+196/5*(
27556669140-40046955865/6*n+6248932235/12*n^2-192454045/12*n^3+2197405/12*n^4-\
1715/4*n^5)*p5+20580*p13+6272*p3^2*p1^3+3969/2*p2^4*p1+7056*p3*p2^2*p1^2
[7, 6, 3]
-6048*p6*p1^3-60480*p4*p3*p1^2+7560*p6*p4*p1+8064*p7*p3*p1+21/4*(2945460-67080*
n+480*n^2)*p4*p3*p2+3402*p2^4*p1+6048*p3*p2^2*p1^2-756*p6*p2^2*p1+63/16*(-\
119520+960*n)*p4*p2^2*p1+7/2*(-88416+1152*n)*p3^2*p2*p1+21/2*(1224336-25020*n+
108*n^2)*p6*p2*p1+42/5*(1107960-16860*n+60*n^2)*p5*p3*p1+63/10*(-39240+280*n)*
p5*p2*p1^2+63/4*(104986896-5837580*n+85220*n^2-360*n^3)*p4*p2*p1+21/2*(-6280440
+186984*n-1536*n^2)*p3*p2*p1^2+63/10*(-28161840+1014475*n-10025*n^2+50*n^3)*p5*
p4+63/20*(3175200-88070*n+510*n^2)*p5*p2^2+63/16*(1108800-9600*n)*p4^2*p1+9*(-\
22626576+913808*n-9240*n^2)*p7*p2+9*(348768-1568*n)*p7*p1^2+63/4*(-9138240+
265536*n-1152*n^2)*p8*p1+21*(1584118872-180837186*n+5922420*n^2-66282*n^3+312*n
^4)*p3*p1^2+7/2*(11556-144*n)*p6*p3*p2+63/4*(2321411328-293529268*n+11752950*n^
2-183428*n^3+962*n^4)*p2^2*p1+21/2*(-162302688+11719176*n-221808*n^2+1512*n^3)*
p2*p1^3+63*(-37271689920+206231551456/15*n-3328916781/2*n^2+1037967917/12*n^3-\
8383127/4*n^4+1409311/60*n^5-399/4*n^6)*p2*p1+7/8*(-280584+2592*n)*p3*p2^3+63/
20*(14700-200*n)*p5*p4*p2+21*(-580922160+46378848*n-1032714*n^2+7164*n^3-18*n^4
)*p6*p1+63/5*(-1099354620+591529865/6*n-32678245/12*n^2+166855/6*n^3-875/12*n^4
)*p5*p2+63/5*(51885960-2288030*n+21220*n^2-70*n^3)*p5*p1^2+21/2*(-1265654880+
108354981*n-2737035*n^2+25530*n^3-120*n^4)*p4*p3+21/4*(-2522880+25920*n)*p4*p1^
3+7*(107897832-5384232*n+66312*n^2-288*n^3)*p3^2*p1+21/4*(191404416-12363546*n+
229386*n^2-1224*n^3)*p3*p2^2+21/8*(-13522464+569736*n-4968*n^2)*p2^3*p1+21/8*(
285120-4032*n)*p2^2*p1^3+63/2*(-9982503360+1737365684*n-95773828*n^2+2080740*n^
3-18000*n^4+60*n^5)*p4*p1+21*(-15520892760+5640647533/2*n-671368297/4*n^2+
8364813/2*n^3-181127/4*n^4+175*n^5)*p3*p2+7*(-25056864+883701*n-8037*n^2+36*n^3
)*p6*p3+9/2*(-142800+1120*n)*p7*p4+31752*p7*p2^2+21/5*(-186480+2955*n-15*n^2)*
p6*p5+21/4*(-117720+864*n)*p8*p3+7*(-148500+1980*n)*p9*p2-432432*p10*p1+126*p6*
p5*p2-567*p5*p2^3+7056*p5*p3^2+10584*p5^2*p1+48384*p3*p1^4+29484*p8*p2*p1-1512*
p11*p2-1008*p7*p6-1134*p8*p5+126/11*(1171170-24090*n+66*n^2)*p11+18*(4332638310
-1604892170/3*n+62561429/3*n^2-952252/3*n^3+5257/3*n^4)*p7-1008*p5*p3*p2*p1+7/9
*(2404080-36288*n)*p3^3+21*(7561529280-1855548480*n+142194696*n^2-4228356*n^3+
49848*n^4-252*n^5)*p1^3+42*(97845995520-104093036649/2*n+367413725001/40*n^2-\
11345394817/16*n^3+422059425/16*n^4-7766131/16*n^5+335433/80*n^6-49/4*n^7)*p3+
21/20*(5495040-80640*n)*p1^5+126/5*(42988425480-21539179077/2*n+21593897945/24*
n^2-1544064485/48*n^3+8381235/16*n^4-174307/48*n^5+245/48*n^6)*p5+126*(
20756736000-90360437812/3*n+191976384154/15*n^2-44522751079/20*n^3+4373365645/
24*n^4-29894585/4*n^5+2339026/15*n^6-23737/15*n^7+49/8*n^8)*p1+26460*p13+14*(
128918790-7321545*n+114840*n^2-495*n^3)*p9
[7, 6, 2, 2]
52416*p7*p2*p1^2+30240*p8*p1^3+2268*p5*p2^3+32256*p5*p3*p2*p1+22680*p6*p2^2*p1-\
235872*p7*p2^2-1360800*p8*p2*p1-94080*p5*p3^2-1008*p6*p2*p1^3-756*p5*p2^2*p1^2-\
1344*p5*p3*p1^3+16*(-96936+672*n)*p7*p3*p1+14*(-121140+1560*n)*p6*p4*p1+28/3*(-\
46278+216*n)*p6*p3*p2+28/3*(8226-72*n)*p6*p3*p1^2+42/5*(-36750+300*n)*p5*p4*p2+
42/5*(8050-100*n)*p5*p4*p1^2+42*(-1086509060+71599040*n-1250040*n^2+5160*n^3)*
p4*p2*p1+28*(125039760-6314811*n+79851*n^2-252*n^3)*p3*p2*p1^2+7*(-87372+432*n)
*p3*p2^2*p1^2+112/5*(-21457240+625230*n-4050*n^2)*p5*p3*p1+84/5*(1506320-28925*
n+105*n^2)*p5*p2*p1^2+14*(-17268930+222300*n-720*n^2)*p4*p3*p2+14*(1906350-\
42420*n+240*n^2)*p4*p3*p1^2+21/2*(1268640-10080*n)*p4*p2^2*p1+7*(-88200+720*n)*
p4*p2*p1^3+28/3*(1473984-13824*n)*p3^2*p2*p1+28*(-16629084+439458*n-1674*n^2)*
p6*p2*p1-2016*p11*p1^2+30912*p7*p6+15120*p8*p5+61152*p12*p1+168/5*(1015300-\
17160*n)*p10*p1+56/3*(724680-2970*n)*p9*p2+14*(925560-4320*n)*p8*p3+56/5*(
1432200-21435*n+15*n^2)*p6*p5+42*(-18704789728+2524903204*n-105526464*n^2+
1574496*n^3-6564*n^4)*p2^2*p1+28*(2408367760-270676671*n+19186029/2*n^2-122547*
n^3+903/2*n^4)*p2*p1^3+56*(5590454100-1072990997/2*n+62049209/4*n^2-290803/2*n^
3+631/4*n^4)*p6*p1+168/5*(7677223120-2564715275/4*n+113729255/8*n^2-306525/4*n^
3+665/8*n^4)*p5*p2+168/5*(-861287560+783784495/12*n-34939675/24*n^2+117425/12*n
^3-245/24*n^4)*p5*p1^2+28*(9234610280-776495265*n+17471475*n^2-99450*n^3+120*n^
4)*p4*p3+56/3*(-1226216208+81539472*n-1477260*n^2+7344*n^3)*p3^2*p1+14*(-\
1212527232+62998272*n-655632*n^2+1728*n^3)*p3*p2^2+21/2*(-22943200+676000*n-\
4800*n^2)*p4^2*p1+28/9*(-124848+1728*n)*p3^2*p1^3+7/3*(887436-3888*n)*p3*p2^3+
24*(-15120196+534296*n-3948*n^2)*p7*p1^2+56/3*(191515296-6388137*n+39033*n^2-36
*n^3)*p6*p3+28/3*(1374780-33012*n+108*n^2)*p6*p1^3+84/5*(216624800-7567175*n+
57625*n^2-50*n^3)*p5*p4+42/5*(-15007440+226560*n-720*n^2)*p5*p2^2+42*(130488432
-5953320*n+63720*n^2)*p8*p1+24*(147677404-4775820*n+22680*n^2)*p7*p2+168/25*(-\
140000+2100*n)*p5^2*p1-504*p6*p5*p2+168*p6*p5*p1^2-2688*p7*p5*p1+7*(-10266120+
345456*n-2160*n^2)*p2^2*p1^3+7/5*(569280-10080*n)*p2*p1^5+84*(76149009584-\
43217654690/3*n+2666976175/3*n^2-66390295/3*n^3+631865/3*n^4-485*n^5)*p4*p1+56*
(105691383040-75641202453/4*n+8371461609/8*n^2-83813469/4*n^3+986871/8*n^4-399/
2*n^5)*p3*p2+8064*p3*p2*p1^4-54432*p2^4*p1+4536*p2^3*p1^3+6048*p11*p2+336/11*(-\
9129120+180246*n-66*n^2)*p11+14/3*(-10486608+420792*n-3744*n^2)*p3*p1^4+7*(
118385496-4697568*n+32400*n^2)*p2^3*p1+112/3*(-966485520+53402580*n-700425*n^2+
495*n^3)*p9+48*(-30761290560+3760150401*n-273815031/2*n^2+1621011*n^3-5313/2*n^
4)*p7+336*(-124540416000+914174401972/5*n-473571428183/6*n^2+167543279489/12*n^
3-13896677503/12*n^4+2842881991/60*n^5-11304877/12*n^6+24605/3*n^7-49/2*n^8)*p1
+56*(-59047453440+33972270637/2*n-6678976739/4*n^2+291187917/4*n^3-2959565/2*n^
4+51625/4*n^5-147/4*n^6)*p1^3-2352*p6^2*p1+12*(1163960-11760*n)*p7*p4+56/3*(-\
87120+990*n)*p9*p1^2+14/5*(-77680+840*n)*p5*p1^4+14*(109166900-6292740*n+97860*
n^2-360*n^3)*p4*p1^3+56*(-15659007712+9118927843/4*n-866651487/8*n^2+8155955/4*
n^3-111729/8*n^4+49/2*n^5)*p3*p1^2+168*(246940473600-567682365659/6*n+
143574497159/12*n^2-3887092555/6*n^3+190350871/12*n^4-162555*n^5+1043/2*n^6)*p2
*p1+112*(-615364888320+660631993623/2*n-465694738337/8*n^2+69868567189/16*n^3-\
2366658193/16*n^4+33833263/16*n^5-149485/16*n^6+49/4*n^7)*p3+14/5*(-273043360+
24498320*n-649200*n^2+5040*n^3)*p1^5+336/5*(-286951304640+144137970035/2*n-\
141213458425/24*n^2+3079447515/16*n^3-115427465/48*n^4+115325/16*n^5-245/48*n^6
)*p5+56/27*(-18552240+181440*n)*p3^3-564480*p13
[7, 5, 4]
140*p6*p4*p3+2800*p9*p1^2+5040*p7*p2^2+29120*p7*p3*p1-280*p6*p3*p1^2+23520*p5*
p3^2+17640*p5*p4*p2-1400*p9*p4-630*p4*p3*p2^2-1120*p4*p3^2*p1-35280*p5*p2*p1^2+
35/8*(-25200+288*n)*p4*p2^2*p1+70/9*(-73080+540*n)*p9*p2+35/9*(-80640+864*n)*p3
^2*p2*p1+35/6*(4200-48*n)*p6*p4*p1+35/9*(8568-108*n)*p6*p3*p2+14/3*(-154560+
1260*n)*p6*p5+35/24*(26880-480*n)*p4^2*p3+35/3*(-5143248+172596*n-1332*n^2)*p3*
p2*p1^2+5*(-188160+3136*n)*p7*p4+35/6*(-165060+2160*n)*p8*p3+35/3*(707880-11292
*n+72*n^2)*p6*p2*p1+28/3*(1243200-25200*n)*p5*p3*p1+14*(-34650+220*n)*p10*p1+35
/6*(-53640+960*n)*p4*p3*p1^2-1120*p7*p6+70/3*(-537631290+45328489*n-1021466*n^2
+5255*n^3-10*n^4)*p6*p1-1540*p10*p3+2240*p3^2*p1^3+1260*p3*p2^2*p1^2+35/8*(
1431360-41440*n+320*n^2)*p4^2*p1+70/9*(-24532410+988761*n-7740*n^2+15*n^3)*p6*
p3+10*(408240-7616*n)*p7*p1^2+35/9*(-10200+144*n)*p6*p1^3+35/6*(2461368-71016*n
+612*n^2)*p4*p3*p2+7*(-26822040+1078840*n-8820*n^2)*p5*p4+7/2*(1386000-22680*n)
*p5*p2^2+35/2*(-8782020+302280*n-1440*n^2)*p8*p1+10*(-16846704+614768*n-4200*n^
2)*p7*p2+35/12*(61200-864*n)*p2^2*p1^3+35/36*(-90720+1944*n)*p3*p2^3+140*(
18681062400-108388607451/4*n+206966295001/18*n^2-95563630471/48*n^3+1283376821/
8*n^4-12520909/2*n^5+1371959/12*n^6-42749/48*n^7+245/72*n^8)*p1+70*(-\
33627368160+37208067473/3*n-4473698672/3*n^2+299320015/4*n^3-9690155/6*n^4+
167983/12*n^5-119/2*n^6)*p2*p1+35/3*(-151041600+11660060*n-240036*n^2+1512*n^3)
*p2*p1^3+70/3*(-13804736400+2486201523*n-142471873*n^2+12544127/4*n^3-25547*n^4
+357/4*n^5)*p3*p2+70/3*(1484464320-179994741*n+12879995/2*n^2-73655*n^3+349/2*n
^4)*p3*p1^2+35/2*(2012808000-244189570*n+8691644*n^2-105774*n^3+564*n^4)*p2^2*
p1+35*(-9080494920+4819914952/3*n-537835373/6*n^2+1871125*n^3-80299/6*n^4+149/3
*n^5)*p4*p1+140/11*(1111110-24024*n)*p11+28*(38665426800-29095742585/3*n+
4821204115/6*n^2-326740645/12*n^3+2181725/6*n^4-5565/4*n^5)*p5+140/9*(117387270
-6942165*n+95400*n^2-75*n^3)*p9+20*(3897503610-1464125600/3*n+55742813/3*n^2-\
698488/3*n^3+1603/3*n^4)*p7+70/81*(3447360-90720*n)*p3^3+70/3*(6943999968-\
5231056769/3*n+833938951/6*n^2-13033216/3*n^3+307049/6*n^4-189*n^5)*p1^3+7/6*(
7986960-440000*n+6720*n^2)*p1^5+140/3*(88086005280-561454340801/12*n+
49302661501/6*n^2-9968504521/16*n^3+262035727/12*n^4-4086059/12*n^5+8253/4*n^6-\
245/48*n^7)*p3+35/18*(152400-4320*n)*p3*p1^4+14*(51465960-2734340*n+30660*n^2)*
p5*p1^2+70/9*(105936432-6288216*n+89136*n^2-120*n^3)*p3^2*p1+35/6*(-3347736+
126160*n-1152*n^2)*p4*p1^3+35/6*(142127664-8323626*n+132480*n^2-846*n^3)*p3*p2^
2+35/3*(-1153290600+103894716*n-5390635/2*n^2+21880*n^3-149/2*n^4)*p4*p3+35/12*
(-6073920+160920*n-1296*n^2)*p2^3*p1+14*(-935723880+81201890*n-1943340*n^2+
12390*n^3)*p5*p2+35/2*(87641400-4873832*n+69892*n^2-408*n^3)*p4*p2*p1+29400*p13
[7, 5, 3, 2]
105/4*(-1623868736+341771516/3*n-7894495/3*n^2+89914/3*n^3-455/3*n^4)*p4*p2*p1+
35/2*(149111632-7139536*n+89568*n^2-224*n^3)*p3*p2*p1^2-1470*p6^2*p1+35/2*(-\
25476780+864770*n-9390*n^2+28*n^3)*p6*p2*p1+14*(-26605320+626580*n-1620*n^2)*p5
*p3*p1+21/2*(1597360-28560*n)*p5*p2*p1^2+35/4*(-41598424+1151088*n-8208*n^2)*p4
*p3*p2+35/4*(1635456-24864*n+96*n^2)*p4*p3*p1^2+105/32*(20160-320*n)*p4^2*p2*p1
+105/8*(-133080+1872*n)*p8*p2*p1+35/4*(-176184+3060*n-12*n^2)*p6*p4*p1+35/8*(
12576-144*n)*p6*p2^2*p1+21/4*(-227080+2880*n)*p5*p4*p2+21840*p6*p3*p1^2+35*(
171483016480-96817563257/3*n+3977422303/2*n^2-153944185/3*n^3+1189673/2*n^4-\
2814*n^5)*p3*p2+35*(-21800614880+2992142044*n-131149766*n^2+2267044*n^3-15182*n
^4+20*n^5)*p3*p1^2+105/4*(-28868907360+12097398560/3*n-565569364/3*n^2+12014956
/3*n^3-138596/3*n^4+260*n^5)*p2^2*p1+35/2*(2930057248-896101286/3*n+9661401*n^2
-369850/3*n^3+567*n^4)*p2*p1^3+105*(389096805888-900082318039/6*n+868125040514/
45*n^2-78630230501/72*n^3+2184854927/72*n^4-32550755/72*n^5+1443493/360*n^6-329
/18*n^7)*p2*p1+21*(-1030946840+68708280*n-1266220*n^2+6580*n^3)*p5*p1^2+35/2*(
15350452880-1388132978*n+36798636*n^2-350204*n^3+1486*n^4)*p4*p3+35/4*(99940640
-4534300*n+52996*n^2-288*n^3)*p4*p1^3+35/3*(-1718549112+108464376*n-1795536*n^2
+7800*n^3)*p3^2*p1+35*(8140493592-765534910*n+44328411/2*n^2-513773/2*n^3+3099/
2*n^4-5/2*n^5)*p6*p1+21*(13145437480-3687708215/3*n+70781205/2*n^2-1168225/3*n^
3+2835/2*n^4)*p5*p2+105/16*(3053952-95384*n+888*n^2)*p4*p2^2*p1+35/8*(-79504+
1152*n)*p4*p2*p1^3+35/6*(2376000-35424*n)*p3^2*p2*p1+35/8*(-123072+1152*n)*p3*
p2^2*p1^2+45360*p5*p3*p2*p1+35/6*(-166968+1152*n)*p6*p3*p2+35/4*(-2321349184+
156628764*n-3163716*n^2+21264*n^3)*p3*p2^2+35/12*(-6464256+154944*n-576*n^2)*p3
*p1^4+35/8*(213742368-12205068*n+244332*n^2-2016*n^3)*p2^3*p1+35/8*(-10911616+
395544*n-3240*n^2)*p2^2*p1^3+26880*p7*p6+7/8*(324640-6720*n)*p2*p1^5+105/2*(
116661746080-110246855049/5*n+4118993351/3*n^2-145241003/4*n^3+5579759/12*n^4-\
70309/20*n^5+149/12*n^6)*p4*p1+3780*p8*p1^3+35/16*(-201600+1920*n)*p4^2*p3+5670
*p5*p2^3+21*(1196360-17875*n+55*n^2)*p10*p1+35/3*(1983960-29700*n)*p9*p2+35/4*(
1928160-12960*n)*p8*p3+15/2*(2654960-37072*n+112*n^2)*p7*p4+15/4*(-177856+1344*
n)*p7*p2^2+7*(2604000-29070*n+90*n^2)*p6*p5+35/64*(-228960+5184*n)*p2^4*p1+105/
4*(174502776-7502778*n+86118*n^2-420*n^3)*p8*p1+15*(290819704-37471616/3*n+
138600*n^2-784/3*n^3)*p7*p2+15*(-14256368+368704*n-1120*n^2)*p7*p1^2+35/3*(
339269448-12534150*n+94410*n^2-240*n^3)*p6*p3+35/6*(811488-10188*n+36*n^2)*p6*
p1^3+21/2*(386923880-15376270*n+158290*n^2-720*n^3)*p5*p4+21/4*(-38967040+
1196220*n-8100*n^2)*p5*p2^2+105/16*(-31577784+1058080*n-14240*n^2+80*n^3)*p4^2*
p1+35/24*(3380400-57024*n)*p3*p2^3+1890*p2^3*p1^3-35280*p5*p1^4-211680*p5*p3^2-\
476280*p5^2*p1+3360*p3*p2*p1^4-600600*p9*p1^2+18480*p4*p3^2*p1+21420*p4*p3*p2^2
-945*p4*p2^3*p1-1034880*p7*p3*p1+33600*p7*p2*p1^2-1260*p6*p5*p2-840*p6*p4*p3-\
2310*p10*p2*p1-1890*p8*p4*p1-1680*p7*p4*p2-1680*p4*p3*p2*p1^2-104160*p3^2*p1^3+
38220*p12*p1+23100*p9*p4+210*p6*p4*p2*p1-420*p6*p2*p1^3+17640*p5*p4*p1^2+11340*
p8*p5-705600*p13+42*(-460040380800+118960002086*n-123467724245/12*n^2+
9126210325/24*n^3-153505475/24*n^4+1160411/24*n^5-945/8*n^6)*p5+7/4*(-229209440
+15440200*n-274360*n^2+1680*n^3)*p1^5+70*(-982548403200+534602450400*n-\
1163330031391/12*n^2+184986634529/24*n^3-2362538209/8*n^4+44991977/8*n^5-\
1267231/24*n^6+1225/6*n^7)*p3+210/11*(-16816800+361218*n-858*n^2)*p11+35*(-\
87399931392+120416326462/5*n-13319035717/6*n^2+1068070217/12*n^3-20116735/12*n^
4+885611/60*n^5-189/4*n^6)*p1^3+70/3*(-1647565920+98860575*n-1570140*n^2+6765*n
^3)*p9+30*(-50231781600+6471169208*n-786786602/3*n^2+12251288/3*n^3-72100/3*n^4
+70/3*n^5)*p7+210*(-199264665600+8800359057749/30*n-91862567447801/720*n^2+
4127850754039/180*n^3-377161263185/192*n^4+41320712021/480*n^5-321966857/160*n^
6+791411/30*n^7-119231/576*n^8+245/288*n^9)*p1+32760*p11*p2+35/27*(-36560160+
544320*n)*p3^3+9240*p10*p3
[7, 5, 2, 2, 2]
131040*p11*p1^2-393120*p11*p2+87360*p5*p3*p1^3-577920*p7*p6-2293200*p12*p1-\
61600*p10*p3+140/3*(-9418560+132480*n)*p3^2*p2*p1+70*(96694388-2055296*n+10176*
n^2)*p4*p3*p2+70*(-14389788+393984*n-2472*n^2)*p4*p3*p1^2-453600*p8*p5+140*(-\
741476592+44928810*n-750054*n^2+3708*n^3)*p3*p2*p1^2+35*(772776-9936*n)*p3*p2^2
*p1^2+35/3*(-75072+576*n)*p3*p2*p1^4+210*(5367283824-402848002*n+17631639/2*n^2
-64930*n^3+353/2*n^4)*p4*p2*p1+105/2*(-10019568+219432*n-1296*n^2)*p4*p2^2*p1+
35*(1272632-29288*n+204*n^2)*p4*p2*p1^3+7*(-9094320+354840*n-2520*n^2)*p2*p1^5+
420*(-302989194800+182523787970/3*n-8142715235/2*n^2+1371286933/12*n^3-16392985
/12*n^4+25377/4*n^5-149/12*n^6)*p4*p1+280*(-411883058880+154829668121/2*n-\
55244574913/12*n^2+210816475/2*n^3-10859087/12*n^4+3122*n^5)*p3*p2+280*(
67862679360-64860335993/6*n+2315603821/4*n^2-38765453/3*n^3+473475/4*n^4-775/2*
n^5)*p3*p1^2+210*(79389761520-11718762590*n+562766386*n^2-21805573/2*n^3+87886*
n^4-639/2*n^5)*p2^2*p1+140*(-11902730832+1541868659*n-200884402/3*n^2+4760749/4
*n^3-26114/3*n^4+119/4*n^5)*p2*p1^3+840*(-900843772032+4309346664685/12*n-\
575927552779/12*n^2+135333918817/48*n^3-315916075/4*n^4+12711083/12*n^5-19973/3
*n^6+959/48*n^7)*p2*p1+7/2*(-125040+1920*n)*p4*p1^5+140/9*(1219680-18720*n)*p3^
2*p1^3+35/3*(-5671080+80352*n)*p3*p2^3+35/8*(440640-7776*n)*p2^4*p1+35/6*(-\
40608+648*n)*p2^3*p1^3+280*(-25131055908+2622598476*n-169512073/2*n^2+1930681/2
*n^3-5741/2*n^4+5/2*n^5)*p6*p1+168*(-33094445160+5983034955/2*n-306407705/4*n^2
+1237165/2*n^3-6615/4*n^4)*p5*p2+168*(4458606600-2303260895/6*n+40618495/4*n^2-\
553945/6*n^3+945/4*n^4)*p5*p1^2+140*(-39267361840+3504212630*n-258163961/3*n^2+
608180*n^3-4309/3*n^4)*p4*p3+70*(-692871664+48820462*n-6128551/6*n^2+7188*n^3-\
149/6*n^4)*p4*p1^3+280/3*(5912038860-430807160*n+8653560*n^2-46360*n^3)*p3^2*p1
+70*(5703593392-344879140*n+5360424*n^2-27588*n^3)*p3*p2^2+70/3*(89153616-\
4787968*n+62256*n^2-80*n^3)*p3*p1^4+35*(-688670352+35878122*n-513000*n^2+2862*n
^3)*p2^3*p1+35*(84159472-4096786*n+53916*n^2-282*n^3)*p2^2*p1^3+105/2*(
135562560-4745120*n+41600*n^2-80*n^3)*p4^2*p1+14*(1378320-30240*n)*p5*p1^4+56*(
-7654080+95850*n-90*n^2)*p6*p5+105*(530820-4320*n)*p8*p2*p1+168/5*(972300-12600
*n)*p5^2*p1-3080*p10*p1^3-369600*p9*p4+3763200*p5*p3^2-560*p6*p1^5+53760*p7*p1^
4+168*(-6396940+120615*n-55*n^2)*p10*p1+280/3*(-4506480+47520*n)*p9*p2+280/3*(
776160-11880*n)*p9*p1^2+70*(-5023560+28800*n)*p8*p3+35*(-76620+720*n)*p8*p1^3+
60*(-6919920+77392*n-112*n^2)*p7*p4+30*(295008-2016*n)*p7*p2^2+4480*p3*p1^6+105
/4*(-53760+480*n)*p4^2*p2*p1+42*(-106820+1440*n)*p5*p4*p1^2+60*(-50848+336*n)*
p7*p2*p1^2+70*(924456-12036*n+12*n^2)*p6*p4*p1+140/3*(289524-1440*n)*p6*p3*p2-\
68040*p5*p2^3+35*(-25344+216*n)*p6*p2^2*p1+70/3*(3432-36*n)*p6*p2*p1^3+42*(
456540-4320*n)*p5*p4*p2+140/3*(-64428+360*n)*p6*p3*p1^2+80*(619920-3360*n)*p7*
p3*p1+35/2*(340480-1600*n)*p4^2*p3+112*(121788660-3879480*n+23040*n^2)*p5*p3*p1
+84*(-12320080+338610*n-1890*n^2)*p5*p2*p1^2+35/4*(11200-160*n)*p4^2*p1^3+140/3
*(-12733542+415729*n-2526*n^2+5*n^3)*p6*p1^3+84*(-1035662880+39580030*n-327550*
n^2+720*n^3)*p5*p4+42*(87606960-2153160*n+11880*n^2)*p5*p2^2+210*(-686598180+
34770930*n-429990*n^2+660*n^3)*p8*p1+2520*p2^2*p1^5+120*(-734571852+28104300*n-\
219968*n^2+308*n^3)*p7*p2+120*(99375780-12530644/3*n+40432*n^2-140/3*n^3)*p7*p1
^2+280/3*(-907613532+32513824*n-202614*n^2+230*n^3)*p6*p3+140*(101137650-\
3359799*n+22560*n^2-33*n^3)*p6*p2*p1+22680*p5*p2^2*p1^2+280*p6*p4*p1^3-2240*p4*
p3*p1^4+75600*p8*p4*p1-515200*p4*p3^2*p1-236880*p4*p3*p2^2+11340*p4*p2^3*p1-\
1260*p4*p2^2*p1^3+80640*p7*p5*p1+20160*p7*p4*p2-6720*p7*p4*p1^2+15120*p6*p5*p2+
90720*p4*p3*p2*p1^2+47040*p6^2*p1+5600*p6*p4*p3-5040*p6*p5*p1^2-2520*p6*p4*p2*
p1+27720*p10*p2*p1-1391040*p5*p3*p2*p1+15993600*p13+240*(125141656640-\
48229354712/3*n+1880494091/3*n^2-8411424*n^3+87283/3*n^4-70/3*n^5)*p7+1/3*(
861840-23520*n)*p1^7+336*(1078755277600-842965993715/3*n+288981408245/12*n^2-\
6773988905/8*n^3+292972355/24*n^4-1491245/24*n^5+945/8*n^6)*p5+560*(
2179214593920-2397503662995/2*n+7863676614091/36*n^2-154411288478/9*n^3+
44916060227/72*n^4-739231981/72*n^5+4988711/72*n^6-14455/72*n^7)*p3+1680/11*(
46286240-961818*n+858*n^2)*p11+1680*(423437414400-7563278945255/12*n+
20048148491635/72*n^2-7337005311101/144*n^3+1278934812677/288*n^4-18848474537/
96*n^5+161178055/36*n^6-2490685/48*n^7+87031/288*n^8-245/288*n^9)*p1+280/27*(
92685600-1209600*n)*p3^3+14*(1682049840-567408730/3*n+6956845*n^2-281150/3*n^3+
315*n^4)*p1^5+280*(228450310272-281133124525/4*n+272735631709/36*n^2-\
54109487801/144*n^3+666901007/72*n^4-8082367/72*n^5+45815/72*n^6-245/144*n^7)*
p1^3+560/3*(4341377040-255885630*n+3641220*n^2-7590*n^3)*p9
[7, 4, 4, 2]
-104832*p7*p2^2-665280*p8*p2*p1-282240*p5*p4*p2-395136*p5^2*p1+11088*p6*p2^2*p1
+56448*p5*p3*p2*p1+10080*p4*p3*p2^2+18816*p3^3*p2+112/3*(-8924454+244365*n-1017
*n^2)*p6*p2*p1+56/9*(17370-180*n)*p4*p3^2*p1+112/9*(6156-72*n)*p6*p3*p1^2+112/9
*(-87012+432*n)*p6*p3*p2+56/3*(-76050+1020*n)*p6*p4*p1+64/3*(-113484+1848*n)*p7
*p3*p1+224/15*(1207500-9450*n)*p6*p5+224/5*(591690-11220*n)*p10*p1+224/9*(
540900-2160*n)*p9*p2+224/9*(-25740+360*n)*p9*p1^2+56/3*(1473120-23760*n)*p8*p3+
28/3*(-34344+432*n)*p3*p2^2*p1^2+112/9*(1569528-44181*n+189*n^2)*p3^2*p2*p1+112
/5*(390600-5040*n)*p5*p2*p1^2+56/3*(-18382980+511140*n-2700*n^2)*p4*p3*p2+56/3*
(1173540-39600*n+240*n^2)*p4*p3*p1^2+224/45*(-209160+1890*n)*p5*p3^2+14*(490320
-5040*n)*p4*p2^2*p1+16*(1321320-18480*n)*p7*p4+14/3*(-193200+2400*n)*p4^2*p3+56
*(-708786330+47931080*n-886460*n^2+4020*n^3)*p4*p2*p1+112/3*(67059600-3756474*n
+61806*n^2-252*n^3)*p3*p2*p1^2+28/9*(722520-7776*n)*p3*p2^3+224/5*(5856662700-\
523113990*n+12299700*n^2-58800*n^3)*p5*p2+56/3*(50540970-3032700*n+54360*n^2-\
240*n^3)*p4*p1^3+56*(84873096-4092660*n+45540*n^2)*p8*p1+224/9*(177319212-\
7888236*n+73134*n^2-48*n^3)*p6*p3+112/9*(378654-11772*n+72*n^2)*p6*p1^3+112/5*(
185070900-7482300*n+52500*n^2)*p5*p4-2240*p6*p4*p3+224*p6*p3^2*p1+112/27*(-\
88632+2484*n)*p3^2*p1^3-18144*p2^4*p1+448/15*(-15762810+589575*n-4725*n^2)*p5*
p3*p1+32*(-7130928+271376*n-2240*n^2)*p7*p1^2+32*(115132752-4109196*n+20076*n^2
)*p7*p2+14*(-15456000+547600*n-4000*n^2)*p4^2*p1+59136*p10*p3+56/5*(-9523080+
105840*n)*p5*p2^2+40768*p12*p1+22400*p9*p4+224/3*(79537579488-29677477905/2*n+
3510760013/4*n^2-38865345/2*n^3+559627/4*n^4-315*n^5)*p3*p2-1568*p6^2*p1+224*(
182820153600-281953809861/4*n+216237332599/24*n^2-1480104901/3*n^3+290598425/24
*n^4-1468229/12*n^5+392*n^6)*p2*p1+56*(-13080609840+1760344828*n-72903931*n^2+
1069122*n^3-4515*n^4)*p2^2*p1+224/3*(-10548877872+3059733209/2*n-296246253/4*n^
2+1487657*n^3-47075/4*n^4+49/2*n^5)*p3*p1^2+112/3*(1384571160-147766257*n+
5119089*n^2-67152*n^3+252*n^4)*p2*p1^3+112*(55188363912-10590963270*n+
2002963945/3*n^2-101898535/6*n^3+492665/3*n^4-2345/6*n^5)*p4*p1-1792*p7*p3^2+56
/9*(-3865152+211152*n-3168*n^2)*p3*p1^4+28/3*(-2481444+66096*n-432*n^2)*p2^2*p1
^3+28/3*(58982364-2105136*n+14904*n^2)*p2^3*p1+56/3*(-931072632+55687236*n-\
814212*n^2+3312*n^3)*p3*p2^2+28672*p7*p6+224/9*(-885552612+272332545/4*n-\
12979725/8*n^2+51327/4*n^3-147/8*n^4)*p3^2*p1+112/3*(7308286860-692631075*n+
37866035/2*n^2-153585*n^3+565/2*n^4)*p4*p3+224/5*(-507399060+38464160*n-868070*
n^2+5460*n^3)*p5*p1^2+224/3*(3892803810-1534991021/4*n+91153417/8*n^2-425203/4*
n^3+791/8*n^4)*p6*p1-4480*p9*p3*p1+448/9*(-779098320+47966340*n-669330*n^2+240*
n^3)*p9+448*(-93405312000+2061742292653/15*n-537293908835/9*n^2+128170223707/12
*n^3-32407675393/36*n^4+2245161893/60*n^5-26909701/36*n^6+19208/3*n^7-343/18*n^
8)*p1+64*(-23536793280+9188449333/3*n-241063403/2*n^2+4494539/3*n^3-4165/2*n^4)
*p7+448/5*(-215523147840+334647621245/6*n-19095046635/4*n^2+994022785/6*n^3-\
8618925/4*n^4+5635*n^5)*p5+448/11*(-8168160+180180*n)*p11+56/15*(-119804880+
10437080*n-311840*n^2+3360*n^3)*p1^5+448/3*(-460692610560+1501844839841/6*n-\
541877415065/12*n^2+3519685331*n^3-1509636365/12*n^4+11542091/6*n^5-57421/6*n^6
+49/3*n^7)*p3+224/3*(-41701694400+140738239651/12*n-8976030381/8*n^2+572363783/
12*n^3-7702655/8*n^4+17269/2*n^5-49/2*n^6)*p1^3+224/81*(-30669408+1136268*n-\
7938*n^2)*p3^3-1792*p3^3*p1^2-752640*p13-1008*p3^2*p2^2*p1
[7, 4, 3, 3]
252*p6*p3*p2^2-4536*p8*p3*p2-2520*p9*p2^2-1260*p6*p4*p3-3024*p6*p5*p2-15120*p9*
p1^2-254016*p5^2*p1+28224*p3^3*p2+10080*p4*p3^2*p1+45360*p5*p2^3+66528*p5*p3*p2
*p1+1512*p6*p3*p1^2-508032*p7*p3*p1-677376*p5*p3^2+78624*p11*p2+21/4*(20400-240
*n)*p4*p3*p2^2+63/2*(-35568+288*n)*p8*p2*p1+33264*p10*p3+42*(42125256-1921698*n
+30942*n^2-180*n^3)*p3*p2*p1^2+21*(170820-2160*n)*p4*p3*p1^2+63/4*(1152720-\
24400*n+160*n^2)*p4*p2^2*p1+14*(1086192-27792*n+144*n^2)*p3^2*p2*p1+21/2*(-\
38376+720*n)*p3*p2^2*p1^2+63*(-609292572+41671292*n-918360*n^2+9020*n^3-40*n^4)
*p4*p2*p1+126/5*(313560-5040*n)*p5*p2*p1^2+21*(-24515988+892620*n-11160*n^2+60*
n^3)*p4*p3*p2+42*(-8883636+267762*n-2622*n^2+12*n^3)*p6*p2*p1+168/5*(-8139600+
189990*n-990*n^2)*p5*p3*p1+21*(-11940+120*n)*p6*p4*p1+14*(-178740+2970*n-18*n^2
)*p6*p3*p2+21/2*(3912-48*n)*p6*p2^2*p1+63/5*(-159600+1200*n)*p5*p4*p2+252/5*(
242220-1320*n)*p10*p1+28*(1309500-24930*n+90*n^2)*p9*p2+18*(1154160-10080*n)*p7
*p4+84*(3030499500-547194729/2*n+30175155/4*n^2-84978*n^3+2061/4*n^4-3/2*n^5)*
p6*p1+42*(6660725400-645983567*n+19911832*n^2-532355/2*n^3+2000*n^4-15/2*n^5)*
p4*p3+7/2*(3563064-116568*n+1080*n^2)*p3*p2^3+12600*p9*p4+9*(-187488+2016*n)*p7
*p2^2+84/5*(1320480-15210*n+90*n^2)*p6*p5+27216*p8*p5+18144*p7*p6-2016*p3^2*p2^
2*p1-1134*p3*p2^4-12096*p3^2*p1^3-846720*p13+21*(1148040-16308*n+108*n^2)*p8*p3
+21/4*(-96600+1200*n)*p4^2*p3+63/4*(-7774200+132800*n-800*n^2)*p4^2*p1+252/5*(
5856274620-600070810*n+20428610*n^2-300590*n^3+1750*n^4)*p5*p2+252/5*(-\
289418220+15591510*n-233370*n^2+1260*n^3)*p5*p1^2+63*(55436760-1985076*n+17748*
n^2-72*n^3)*p8*p1+36*(147564144-7429464*n+111888*n^2-504*n^3)*p7*p2+36*(-\
2299752+30240*n)*p7*p1^2+14*(17604-216*n)*p6*p1^3+63/5*(-25367160+1004280*n-\
10200*n^2)*p5*p2^2+126/5*(173971140-7188300*n+78000*n^2-300*n^3)*p5*p4+28*(
160579188-14012253/2*n+367839/4*n^2-1431/2*n^3+9/4*n^4)*p6*p3+63*(-11554799328+
4955273422/3*n-244441300/3*n^2+5611054/3*n^3-65216/3*n^4+328/3*n^5)*p2^2*p1+42*
(859235760-75094326*n+2144958*n^2-28920*n^3+168*n^4)*p2*p1^3+84*(-7755133968+
1980524985/2*n-160067589/4*n^2+695211*n^3-24915/4*n^4+45/2*n^5)*p3*p1^2+252*(
159612180480-1857500238139/30*n+485235156943/60*n^2-948681809/2*n^3+170037985/
12*n^4-3518243/15*n^5+10901/5*n^6-28/3*n^7)*p2*p1+126*(46405308240-26210580727/
3*n+1631233201/3*n^2-87485993/6*n^3+576080/3*n^4-8345/6*n^5+5*n^6)*p4*p1+84*(
72496404144-143237472827/10*n+3877743535/4*n^2-29933528*n^3+1915569/4*n^4-40193
/10*n^5+14*n^6)*p3*p2+7*(-339552+6480*n)*p3*p1^4+21/2*(94651560-5673480*n+
108168*n^2-720*n^3)*p2^3*p1+21*(-1161697152+94426394*n-2644864*n^2+32794*n^3-\
164*n^4)*p3*p2^2+21/2*(-2207736+68928*n-672*n^2)*p2^2*p1^3+504/11*(-7927920+
181038*n-858*n^2)*p11+21*(15628140-366360*n+2400*n^2)*p4*p1^3+28*(-624892464+
39298824*n-779778*n^2+6732*n^3-18*n^4)*p3^2*p1+56*(-728647920+93627045/2*n-\
3494835/4*n^2+12195/2*n^3-45/4*n^4)*p9+72*(-21352290960+2886729972*n-128217810*
n^2+2406747*n^3-20832*n^4+63*n^5)*p7+21/16*(-140832+1728*n)*p2^4*p1+504*(-\
83026944000+735389289731/6*n-12888904817609/240*n^2+98022164993/10*n^3-\
829982471167/960*n^4+1280351367/32*n^5-494016847/480*n^6+1230251/80*n^7-125503/
960*n^8+49/96*n^9)*p1+28/9*(-22226400+684936*n-4536*n^2)*p3^3+504/5*(-\
192066114240+102184831207/2*n-18631667625/4*n^2+189975350*n^3-15358955/4*n^4+
79933/2*n^5-175*n^6)*p5+168*(-408547077120+450600910573/2*n-3359493541459/80*n^
2+140752420687/40*n^3-9521488321/64*n^4+27148347/8*n^5-6949757/160*n^6+5859/20*
n^7-49/64*n^8)*p3+21/5*(-31531680+1014480*n-10080*n^2)*p1^5+84*(-33492833280+
17552219727/2*n-2993695731/4*n^2+54430527/2*n^3-1939209/4*n^4+4749*n^5-21*n^6)*
p1^3
[7, 4, 3, 2, 2]
-217728*p5*p2^3-470400*p3^3*p2+42*(1462824-19440*n)*p8*p2*p1+32*(1996596-26964*
n+84*n^2)*p7*p3*p1+24*(-108136+1456*n)*p7*p2*p1^2+28*(1816440-19980*n+60*n^2)*
p6*p4*p1+56/3*(1991232-18189*n+45*n^2)*p6*p3*p2+21*(-27224600+747160*n-4440*n^2
)*p4*p2^2*p1+14*(1532780-39600*n+240*n^2)*p4*p2*p1^3+56/3*(-33991872+1024200*n-\
6912*n^2)*p3^2*p2*p1+168/5*(-21832660+677410*n-5250*n^2)*p5*p2*p1^2+28*(
336410312-10407045*n+80475*n^2-150*n^3)*p4*p3*p2+28*(-26735124+846165*n-7275*n^
2+30*n^3)*p4*p3*p1^2+56*(234199848-8827063*n+84285*n^2-134*n^3)*p6*p2*p1+224/5*
(288760290-10750365*n+102000*n^2-315*n^3)*p5*p3*p1+21/2*(-140000+1600*n)*p4^2*
p2*p1+28/3*(-226800+1440*n)*p4*p3^2*p1+7*(-148680+720*n)*p4*p3*p2^2+56/3*(-\
153324+1881*n-9*n^2)*p6*p3*p1^2+14*(-123432+720*n)*p6*p2^2*p1+28/3*(5580-72*n)*
p6*p2*p1^3+84/5*(1681400-14400*n)*p5*p4*p2+84/5*(-94500+600*n)*p5*p4*p1^2+56*(-\
1499696032+195987969/2*n-8396297/4*n^2+35291/2*n^3-175/4*n^4)*p3*p2*p1^2+14*(
2395080-61266*n+306*n^2)*p3*p2^2*p1^2+14/3*(-96816+2160*n)*p3*p2*p1^4+84*(
12452846336-2922675815/3*n+72079730/3*n^2-685090/3*n^3+2215/3*n^4)*p4*p2*p1+7*(
2175600-16800*n)*p4^2*p3+112/5*(-21265440+196965*n-405*n^2)*p6*p5+37632*p6^2*p1
+336/25*(1722000-12600*n)*p5^2*p1+336/5*(-13429680+265980*n-660*n^2)*p10*p1+112
/3*(-15411960+219465*n-225*n^2)*p9*p2+112/3*(1077840-16965*n+45*n^2)*p9*p1^2+
21504*p7*p3^2+28*(-20329920+272808*n-648*n^2)*p8*p3-308448*p8*p5+14*(-51624+432
*n)*p8*p1^3+24*(-20626480+229040*n-560*n^2)*p7*p4+12*(1437968-11424*n)*p7*p2^2+
48*(-2071988660+271626838/3*n-951790*n^2+6692/3*n^3)*p7*p2+48*(172345124-\
7216818*n+84014*n^2-364*n^3)*p7*p1^2-2016*p6*p5*p1^2+23520*p6*p4*p3-2688*p6*p3^
2*p1-1008*p6*p3*p2^2-3024*p8*p3*p1^2+32256*p7*p5*p1+14/5*(-7215280+285520*n-\
3360*n^2)*p2*p1^5+56*(-24012789248+17925504221/6*n-520069343/4*n^2+7717919/3*n^
3-97553/4*n^4+175/2*n^5)*p2*p1^3+28*(-1139337856+76074263*n-1646555*n^2+14640*n
^3-60*n^4)*p4*p1^3+112*(-58653151200+6194051931*n-419439975/2*n^2+2806942*n^3-\
29073/2*n^4+11*n^5)*p6*p1+7/4*(1975968-25920*n)*p2^4*p1+56/3*(-15242712+484155*
n-4077*n^2+18*n^3)*p6*p1^3+168/5*(-2820219640+115168025*n-1023875*n^2+3450*n^3)
*p5*p4+84/5*(280411880-8424390*n+55350*n^2)*p5*p2^2+28/5*(818880-15120*n)*p5*p1
^4+21*(294883120-10475800*n+95400*n^2-400*n^3)*p4^2*p1+44352*p5*p3*p1^3+51408*
p5*p2^2*p1^2-1834560*p12*p1-470400*p9*p4+112/15*(2383920-15120*n)*p5*p3^2+15120
*p4*p2^3*p1+56/9*(2149992-57240*n+216*n^2)*p3^2*p1^3+84*(-1523842200+79171008*n
-1123992*n^2+4584*n^3)*p8*p1+112/3*(-2615115804+112309368*n-2271609/2*n^2+3801*
n^3-9/2*n^4)*p6*p3+336*p6*p3*p2*p1^2+336/5*(-85991124800+25048358800/3*n-\
484852985/2*n^2+7493495/3*n^3-17745/2*n^4)*p5*p2+7/3*(-100440+1296*n)*p2^3*p1^3
-3360*p6*p4*p2*p1+14/3*(-29676240+661878*n-3078*n^2)*p3*p2^3-5376*p7*p3*p2*p1+
84*(190328036512-85879640945/3*n+8706224749/6*n^2-96399748/3*n^3+1972355/6*n^4-\
1249*n^5)*p2^2*p1+112*(153317569280-120293071803/5*n+10412005675/8*n^2-\
506920277/16*n^3+6036665/16*n^4-169447/80*n^5+49/16*n^6)*p3*p1^2+336/5*(
9030643160-1521027155/2*n+83179545/4*n^2-459375/2*n^3+4235/4*n^4)*p5*p1^2+56*(-\
102141235000+9862734567*n-283064652*n^2+2906465*n^3-12635*n^4+15*n^5)*p4*p3+112
*(-1037677958048+6087211935649/30*n-104007455405/8*n^2+16558515239/48*n^3-\
64287733/16*n^4+1653671/80*n^5-497/16*n^6)*p3*p2+168*(-732748945440+
148289712416*n-60823721503/6*n^2+3616922077/12*n^3-16794695/4*n^4+324707/12*n^5
-685/12*n^6)*p4*p1+28/3*(113731200-6048468*n+102144*n^2-540*n^3)*p3*p1^4+28*(
15857009168-1125753567*n+47879181/2*n^2-184887*n^3+831/2*n^4)*p3*p2^2+14*(-\
1679490096+100616178*n-1841526*n^2+9972*n^3)*p2^3*p1+14*(135904160-7192758*n+
121722*n^2-612*n^3)*p2^2*p1^3+20160*p6*p5*p2+336*(-2224630883520+8921427837339/
10*n-2901201516785/24*n^2+1053341890979/144*n^3-10507620895/48*n^4+2442904627/
720*n^5-1294207/48*n^6+6055/72*n^7)*p2*p1+112/5*(-174360+1260*n)*p5*p3*p2*p1+
672/5*(2700397780080-1442711701057/2*n+1552100342915/24*n^2-118156201375/48*n^3
+1979121215/48*n^4-13879817/48*n^5+11305/16*n^6)*p5+672/11*(130690560-2889744*n
+6864*n^2)*p11+40320*p3^3*p1^2+112/3*(13989241728-1103723412*n+27835311*n^2-\
279804*n^3+1065*n^4)*p3^2*p1+14*(12420-120*n)*p4*p3*p2*p1^2+672*(1058593536000-\
3158726339091/2*n+28081416667867/40*n^2-46825350901847/360*n^3+16698253128941/
1440*n^4-76919758711/144*n^5+9486797749/720*n^6-7986956/45*n^7+1840349/1440*n^8
-539/144*n^9)*p1+28/5*(2600958560-261213540*n+9067400*n^2-137740*n^3+840*n^4)*
p1^5+26880*p7*p4*p2+30240*p8*p4*p1-3360*p9*p2*p1^2+112/27*(393002064-12564720*n
+90720*n^2)*p3^3+100800*p9*p3*p1+88704*p10*p2*p1+224/3*(11468096640-725201205*n
+23472315/2*n^2-47775*n^3+45/2*n^4)*p9+224*(5438617853760-3025631320357*n+
8460324776297/15*n^2-11092801179757/240*n^3+174422682361/96*n^4-556305395/16*n^
5+12691523/40*n^6-156499/120*n^7+49/32*n^8)*p3+76608*p3^2*p2^2*p1-931392*p10*p3
-891072*p11*p2+96*(318133495680-42824792836*n+5419408456/3*n^2-84831586/3*n^3+
465920/3*n^4-602/3*n^5)*p7+39312*p8*p3*p2+112*(538903558080-1619092874779/10*n+
2040552004309/120*n^2-39955616641/48*n^3+1019984243/48*n^4-71010229/240*n^5+
173789/80*n^6-49/8*n^7)*p1^3-2688*p3^2*p2*p1^3-542976*p7*p6+10080*p9*p2^2+52416
*p11*p1^2+4536*p3*p2^4-1512*p3*p2^3*p1^2+19192320*p13
[7, 4, 2, 2, 2, 2]
3048192*p5*p2^3+7526400*p3^3*p2+896/3*(553068-6009*n+9*n^2)*p6*p3*p1^2+224*(
176346-972*n)*p6*p2^2*p1+448/3*(-32694+252*n)*p6*p2*p1^3+1344/5*(-2437050+18900
*n)*p5*p4*p2+1344/5*(608650-6300*n)*p5*p4*p1^2+672*(-2987640+34560*n)*p8*p2*p1+
512*(-4055520+44716*n-84*n^2)*p7*p3*p1+448/3*(400200-1200*n)*p4*p3^2*p1+112*(
167850-540*n)*p4*p3*p2^2+112/3*(7590-60*n)*p4*p3*p1^4+1792/15*(-65940+630*n)*p5
*p3*p1^3+168*(327600-2400*n)*p4^2*p2*p1+384*(359828-3528*n)*p7*p2*p1^2+448*(-\
4542270+48000*n-60*n^2)*p6*p4*p1+896/3*(-2301792+18855*n-27*n^2)*p6*p3*p2+224*(
-5800032+133596*n-432*n^2)*p3*p2^2*p1^2+224/3*(838068-21891*n+63*n^2)*p3*p2*p1^
4+896*(-452297658+17323797*n-136767*n^2+138*n^3)*p6*p2*p1+3584/5*(-558471480+
21279790*n-166845*n^2+315*n^3)*p5*p3*p1+1344*(-20536638150+1705263045*n-\
84769855/2*n^2+345075*n^3-1585/2*n^4)*p4*p2*p1+896*(3244326788-937403549/4*n+
40870985/8*n^2-141711/4*n^3+399/8*n^4)*p3*p2*p1^2+2688/5*(64616090-2191140*n+
13860*n^2)*p5*p2*p1^2+448*(-450904020+12711280*n-79650*n^2+90*n^3)*p4*p3*p2+448
*(79310980-2810905*n+21035*n^2-30*n^3)*p4*p3*p1^2+336*(51227010-1316760*n+6120*
n^2)*p4*p2^2*p1+896/3*(59036232-1581540*n+8280*n^2)*p3^2*p2*p1+224/15*(4410-60*
n)*p6*p1^5+5376/25*(-4615800+44100*n)*p5^2*p1+1792/3*(-4409010+85905*n-45*n^2)*
p9*p1^2+448*(27030420-298980*n+540*n^2)*p8*p3+224*(574920-10080*n)*p8*p1^3+384*
(30577680-311920*n+560*n^2)*p7*p4+192*(-1702596+12600*n)*p7*p2^2+64*(-61740+952
*n)*p7*p1^4+1792/5*(32195520-302715*n+315*n^2)*p6*p5+5376/5*(30066630-626560*n+
660*n^2)*p10*p1+17611776*p11*p2+1792/3*(21341790-282015*n+135*n^2)*p9*p2+1792*(
-234169427160+121347110912/3*n-19421554763/8*n^2+3072942551/48*n^3-12003945/16*
n^4+159545/48*n^5-49/16*n^6)*p3*p1^2+896/9*(-9910824+321120*n-1980*n^2)*p3^2*p1
^3+224/3*(34231356-699111*n+2187*n^2)*p3*p2^3+1344/5*(-383813850+10875375*n-\
59535*n^2)*p5*p2^2+448/5*(-9641730+361795*n-2835*n^2)*p5*p1^4+336*(-593302500+
22623800*n-181400*n^2+400*n^3)*p4^2*p1+896/3*(70767594-3093119*n+32109*n^2-34*n
^3)*p6*p1^3+2688/5*(4001662350-161570500*n+1279250*n^2-3150*n^3)*p5*p4+768*(
2896433064-122479924*n+1124200*n^2-1876*n^3)*p7*p2+768*(-463114008+69203414/3*n
-286454*n^2+1540/3*n^3)*p7*p1^2+1792/3*(3627714006-296469937/2*n+4904907/4*n^2-\
6041/2*n^3+9/4*n^4)*p6*p3+1344*(2793487500-156549420*n+2194380*n^2-5280*n^3)*p8
*p1+56*(-75600+800*n)*p4^2*p1^3+1792/15*(-2694720+12600*n)*p5*p3^2+112*(-\
2824500+12200*n)*p4^2*p3-14336*p7*p3*p1^3-338688*p6*p5*p2+112896*p6*p5*p1^2-\
273280*p6*p4*p3-8960*p6*p4*p1^3+35840*p6*p3^2*p1+12096*p6*p3*p2^2+448*p6*p3*p1^
4+224/45*(-100560+2700*n)*p3*p1^6+28*(-2647080+34992*n)*p2^4*p1+112/3*(334476-\
4536*n)*p2^3*p1^3+1792*(89962211010-20299539599/2*n+1451248847/4*n^2-4718541*n^
3+69913/4*n^4-19/2*n^5)*p6*p1+5376/5*(115290701190-44557352035/4*n+2486374835/8
*n^2-11273605/4*n^3+62685/8*n^4)*p5*p2+224/5*(58498280-3477215*n+59005*n^2-210*
n^3)*p2*p1^5+2688*(978925274940-2491140069265/12*n+119512804715/8*n^2-\
5546987965/12*n^3+150736765/24*n^4-197105/6*n^5+625/12*n^6)*p4*p1+1792*(
1311937652880-1551530602739/6*n+393700181971/24*n^2-19862330219/48*n^3+
201999127/48*n^4-279759/16*n^5+273/16*n^6)*p3*p2-1524096*p5*p2^2*p1^2+56448*p5*
p2*p1^4-362880*p4*p2^3*p1+40320*p4*p2^2*p1^3-1792000*p3^3*p1^2-1612800*p3^2*p2^
2*p1+215040*p3^2*p2*p1^3-54432*p3*p2^4-3584*p3^2*p1^5+36288*p3*p2^3*p1^2-2016*
p3*p2^2*p1^4+224*(-8169930+245260*n-1260*n^2)*p4*p2*p1^3+448*(-21470887200+
5866851263/4*n-224591211/8*n^2+715389/4*n^3-2061/8*n^4)*p3*p2^2+1792/3*(-\
22889083560+1892908703*n-93609319/2*n^2+382935*n^3-2045/2*n^4)*p3^2*p1+5376/5*(
-17573411730+20373686795/12*n-421490545/8*n^2+7136605/12*n^3-14175/8*n^4)*p5*p1
^2+224*(2895596316-173899215*n+2874717*n^2-12690*n^3)*p2^3*p1+80640*p6*p4*p2*p1
+112/5*(1126750-36400*n+200*n^2)*p4*p1^5-8064*p6*p3*p2*p1^2+896*(136740760800-\
157130098805/12*n+8556241085/24*n^2-36914185/12*n^3+245875/24*n^4-15/2*n^5)*p4*
p3+448*(3089186670-774971660/3*n+41658845/6*n^2-199045/3*n^3+925/6*n^4)*p4*p1^3
+5376*(2698305762960-13379325393335/12*n+1877571256147/12*n^2-157270250911/16*n
^3+14513064965/48*n^4-73518911/16*n^5+511461/16*n^6-1925/24*n^7)*p2*p1+56/5*(-\
26460+360*n)*p2^2*p1^5+129024*p7*p3*p2*p1+1536*(-415706250960+112309791209/2*n-\
27932270891/12*n^2+202714043/6*n^3-1741621/12*n^4+413/3*n^5)*p7+224*(-424188396
+26000696*n-455364*n^2+1968*n^3)*p2^2*p1^3+10752/11*(-189909720+4090086*n-6006*
n^2)*p11+10752*(-1190917728000+21545536028881/12*n-116692317545795/144*n^2+
22023044321417/144*n^3-8016903689993/576*n^4+188385273995/288*n^5-4690518805/
288*n^6+7656277/36*n^7-259819/192*n^8+931/288*n^9)*p1+1344*(-269327873496+
170913353527/4*n-18110002635/8*n^2+99845665/2*n^3-3605557/8*n^4+5415/4*n^5)*p2^
2*p1+896*(44786929608-77939368423/12*n+7955405551/24*n^2-22256705/3*n^3+1697369
/24*n^4-819/4*n^5)*p2*p1^3+1792*(-717212387520+934191782241/4*n-980079045973/36
*n^2+217042136683/144*n^3-6263239651/144*n^4+94721167/144*n^5-684649/144*n^6+
833/72*n^7)*p1^3-2723840*p9*p3*p1-2419200*p8*p4*p1+80640*p9*p2*p1^2-2128896*p10
*p2*p1+224*(-37530+180*n)*p4*p3*p2*p1^2+1792/5*(293580-1890*n)*p5*p3*p2*p1+448/
3*(-476426856+137876867/4*n-6293495/8*n^2+23505/4*n^3-49/8*n^4)*p3*p1^4+3584/3*
(-15869713860+1990435305/2*n-60330375/4*n^2+88305/2*n^3-45/4*n^4)*p9-725760*p8*
p3*p2+1792/27*(-496354320+13479480*n-75600*n^2)*p3^3+448/5*(-7240244400+
11616437705/12*n-373495455/8*n^2+6020845/6*n^3-72625/8*n^4+245/12*n^5)*p1^5-\
645120*p7*p4*p2+32/15*(-7408800+407540*n-5880*n^2)*p1^7-1806336*p7*p5*p1+10752/
5*(-3327974870220+898407148135*n-1935139153885/24*n^2+144336355975/48*n^3-\
2251868395/48*n^4+13141625/48*n^5-8505/16*n^6)*p5+241920*p8*p3*p1^2+3584*(-\
6363059386320+14330677851111/4*n-97053592943449/144*n^2+496992147205/9*n^3-\
1224310365253/576*n^4+5478863287/144*n^5-85558799/288*n^6+142429/144*n^7-49/64*
n^8)*p3+78274560*p12*p1+215040*p7*p4*p1^2-903168*p6^2*p1-286720*p7*p3^2+
10773504*p7*p6-4480*p9*p1^4+15493632*p10*p3-5870592*p11*p1^2+12768000*p9*p4-\
120960*p9*p2^2+236544*p10*p1^3+10160640*p8*p5-460615680*p13
[7, 3, 3, 3, 2]
-10206*p8*p2^2*p1-3024*p7*p2^3+81648*p8*p3*p2+51030*p8*p4*p1+124740*p9*p2^2-\
4536*p6*p3*p2^2-5670*p6*p4*p2*p1+149688*p10*p2*p1+21168*p6^2*p1+45360*p7*p4*p2+
22680*p6*p4*p3+47628*p6*p5*p2-287280*p6*p3*p1^2+27941760*p7*p3*p1-1687392*p7*p2
*p1^2+13721400*p9*p1^2-61236*p8*p1^3+11811744*p5*p3^2+14002632*p5^2*p1-508032*
p3^3*p2-2476656*p11*p2-498960*p4*p3^2*p1-1031940*p12*p1-3429216*p5*p3*p2*p1-\
476280*p5*p4*p1^2-598752*p10*p3+189/2*(387440-5710*n+30*n^2)*p6*p4*p1+189/4*(-\
102960+1788*n-12*n^2)*p6*p2^2*p1+567/10*(1096900-8400*n)*p5*p4*p2+189/4*(245800
-2400*n)*p4*p2*p1^3+63*(-8923680+225360*n-1584*n^2)*p3^2*p2*p1+189/4*(730944-\
15648*n+96*n^2)*p3*p2^2*p1^2-623700*p9*p4+567/2*(3576510000-292020160*n+
26451554/3*n^2-143645*n^3+3940/3*n^4-5*n^5)*p4*p2*p1+189*(-346937616+20390088*n
-418596*n^2+3768*n^3-12*n^4)*p3*p2*p1^2+567/5*(-5045040+126840*n-840*n^2)*p5*p2
*p1^2+189/2*(136452652-5144880*n+62400*n^2-240*n^3)*p4*p3*p2+189/2*(-3337440+
46320*n-240*n^2)*p4*p3*p1^2+567/8*(-12893072+504840*n-7680*n^2+40*n^3)*p4*p2^2*
p1+189*(72704872-3076865*n+102201/2*n^2-429*n^3+3/2*n^4)*p6*p2*p1+756/5*(
61271700-1639260*n+11340*n^2)*p5*p3*p1+567/16*(-70000+800*n)*p4^2*p2*p1+189/8*(
-148800+960*n)*p4*p3*p2^2+189/16*(16160-160*n)*p4*p2^3*p1+126*(-8009100+167310*
n-990*n^2)*p9*p2+189/2*(-5755320+60912*n-432*n^2)*p8*p3+81*(-6905640+75320*n-\
280*n^2)*p7*p4+1134/5*(-2788060+44330*n-330*n^2)*p10*p1+189/20*(-213640+1680*n)
*p5*p2^3+81/2*(1416912-22960*n+112*n^2)*p7*p2^2+378/5*(-7036960+62475*n-315*n^2
)*p6*p5-428652*p8*p5-441504*p7*p6+378*p6*p2^3*p1+6804*p6*p2*p1^3+95256*p5*p2^2*
p1^2+45360*p4*p3*p2*p1^2+99792*p3^2*p2^2*p1+52164*p3*p2^4-3024*p3*p2^3*p1^2-\
1701*p2^5*p1+21591360*p13+378*(147602917120-633976175279/15*n+49575191695/12*n^
2-4450857559/24*n^3+35585343/8*n^4-2504321/40*n^5+11941/24*n^6-7/4*n^7)*p1^3+
571536*p5*p1^4+1324512*p3^2*p1^3-54432*p3*p2*p1^4+63/8*(-52816+672*n)*p2^3*p1^3
+63/4*(-23757592+896496*n-9696*n^2)*p3*p2^3+567/8*(69042960-2285900*n+34100*n^2
-200*n^3)*p4^2*p1+189/8*(621600-4800*n)*p4^2*p3+189*(-5506140912+614603353*n-\
48654221/2*n^2+474610*n^3-9715/2*n^4+21*n^5)*p2*p1^3+162*(28967176-777336*n+
5208*n^2)*p7*p1^2+126*(-800589664+34005111*n-422904*n^2+2682*n^3-9*n^4)*p6*p3+
63*(-1465840+13398*n-54*n^2)*p6*p1^3+162*(-783021456+42508984*n-760942*n^2+5572
*n^3-14*n^4)*p7*p2+567/5*(-893464740+38358425*n-473725*n^2+2100*n^3)*p5*p4+567/
10*(150874920-6854890*n+98350*n^2-420*n^3)*p5*p2^2+567/2*(-372409980+17179770*n
-268803*n^2+2322*n^3-9*n^4)*p8*p1+63*(1000548-11160*n+72*n^2)*p6*p3*p2+126*(
3532061820-246623580*n+5473026*n^2-53964*n^3+198*n^4)*p3^2*p1+189*(-30991784040
+3091392443*n-98991563*n^2+1415910*n^3-10340*n^4+30*n^5)*p4*p3+189/4*(32126496-\
1606372*n+27340*n^2-168*n^3)*p2^2*p1^3+567*(-207858478960+125094819251/3*n-\
17148318157/6*n^2+90611313*n^3-19330937/12*n^4+220691/12*n^5-1565/12*n^6+5/12*n
^7)*p4*p1+189/20*(-733920+10080*n)*p2*p1^5+378*(-312937019760+640998753763/10*n
-18228633371/4*n^2+152821844*n^3-11282309/4*n^4+293597/10*n^5-140*n^6)*p3*p2+
189/2*(5857654992-510777838*n+16095986*n^2-239100*n^3+1496*n^4)*p3*p2^2+378*(
39436456144-5724247172*n+279853954*n^2-6298099*n^3+75577*n^4-453*n^5+n^6)*p3*p1
^2+567/2*(55627856304-43732023784/5*n+1507408226/3*n^2-44779841/3*n^3+268136*n^
4-43883/15*n^5+46/3*n^6)*p2^2*p1+1134/5*(1984021060-139666170*n+3136035*n^2-\
30450*n^3+105*n^4)*p5*p1^2+2268/5*(801563322560-658090621258/3*n+497576126705/
24*n^2-42886215995/48*n^3+320163095/16*n^4-4045489/16*n^5+81305/48*n^6-35/8*n^7
)*p5+189/4*(-654831360+50821920*n-4653536/3*n^2+24372*n^3-508/3*n^4)*p2^3*p1+
2268*(313657344000-1876973381859/4*n+630421091003/3*n^2-57004065824057/1440*n^3
+5270130145943/1440*n^4-1053293707049/5760*n^5+6195051113/1152*n^6-292065841/
2880*n^7+3693329/2880*n^8-20027/1920*n^9+49/1152*n^10)*p1+63/2*(10647456-191520
*n+864*n^2)*p3*p1^4+756*(1608238428160-5436306591821/6*n+20827144452559/120*n^2
-3618492618073/240*n^3+2693310427/4*n^4-270263867/16*n^5+61071217/240*n^6-89607
/40*n^7+147/16*n^8)*p3+189/10*(376836400-24303720*n+412800*n^2-2520*n^3)*p1^5+
324*(95857441680-40152891625/3*n+3737929055/6*n^2-77205037/6*n^3+135933*n^4-\
1351/2*n^5+7/6*n^6)*p7+1134*(-649480887040+785879665705/3*n-867655963351/24*n^2
+277060547909/120*n^3-2549329797/32*n^4+40535609/24*n^5-1137629/48*n^6+12763/60
*n^7-91/96*n^8)*p2*p1+189/32*(2372416-90896*n+1104*n^2)*p2^4*p1+14*(103889520-\
2558304*n+18144*n^2)*p3^3+252*(3557233680-470612835/2*n+18864945/4*n^2-80685/2*
n^3+495/4*n^4)*p9+2268/11*(42202160-966966*n+6006*n^2)*p11+378*(-15781443300+
1595546068*n-644686073/12*n^2+7041013/8*n^3-211355/24*n^4+411/8*n^5-1/8*n^6)*p6
*p1+1134/5*(-27677549340+5966051945/2*n-444340505/4*n^2+1955065*n^3-67375/4*n^4
+105/2*n^5)*p5*p2+567/4*(552240-9720*n+72*n^2)*p8*p2*p1+189/2*(-183611184+
8326970*n-112690*n^2+600*n^3)*p4*p1^3
[7, 3, 3, 2, 2, 2]
-24192*p3*p1^6+756*(-35258055252+3071955803*n-91168615*n^2+2460075/2*n^3-7835*n
^4+35/2*n^5)*p4*p2*p1+504*(4954028272-368127099*n+9635927*n^2-116234*n^3+574*n^
4)*p3*p2*p1^2+42*(869760-19488*n+96*n^2)*p3*p2*p1^4+84*(-68184+966*n-6*n^2)*p6*
p2*p1^3+756/5*(-7399350+49000*n)*p5*p4*p2+756/5*(586250-4200*n)*p5*p4*p1^2+189/
2*(819000-6000*n)*p4^2*p2*p1+84*(664320-2880*n)*p4*p3^2*p1+63*(884640-3680*n)*
p4*p3*p2^2+378*(-7184088+122292*n-540*n^2)*p8*p2*p1+504*(-832628400+73528089/2*
n-2034267/4*n^2+5583/2*n^3-21/4*n^4)*p6*p2*p1+2016/5*(-893777640+34154190*n-\
360990*n^2+1260*n^3)*p5*p3*p1+288*(-6583416+74928*n-336*n^2)*p7*p3*p1+216*(
774760-12152*n+56*n^2)*p7*p2*p1^2+252*(-6711420+63090*n-210*n^2)*p6*p4*p1+168*(
-7618950+68664*n-240*n^2)*p6*p3*p2+168*(626706-6012*n+36*n^2)*p6*p3*p1^2+126*(
1008768-12528*n+48*n^2)*p6*p2^2*p1+63/2*(7920-80*n)*p4*p2^2*p1^3+126*(-14295452
+448696*n-3792*n^2)*p3*p2^2*p1^2+1512/5*(101385340-3858505*n+47915*n^2-210*n^3)
*p5*p2*p1^2+252*(-1066334178+36773120*n-347600*n^2+800*n^3)*p4*p3*p2+252*(
100455326-3263080*n+32640*n^2-120*n^3)*p4*p3*p1^2+189*(129444936-4646400*n+
50160*n^2-160*n^3)*p4*p2^2*p1+126*(-10534056+338540*n-3920*n^2+20*n^3)*p4*p2*p1
^3+168*(124890048-3975432*n+32664*n^2)*p3^2*p2*p1+63/2*(-114480+720*n)*p4*p2^3*
p1+63/4*(-18086976+570384*n-4752*n^2)*p2^4*p1+21*(1533168-44472*n+360*n^2)*p2^3
*p1^3+63/10*(-70640+1120*n)*p2^2*p1^5+1008*(149981545980-33768922983/2*n+
634140198*n^2-83851167/8*n^3+680781/8*n^4-2469/8*n^5+3/8*n^6)*p6*p1+3024/5*(
216043317840-270468091145/12*n+18114144265/24*n^2-64577135/6*n^3+1736735/24*n^4
-735/4*n^5)*p5*p2+3024/5*(-25914890400+9571123205/4*n-605209325/8*n^2+2206015/2
*n^3-66955/8*n^4+105/4*n^5)*p5*p1^2+378/5*(-98420+840*n)*p5*p2^2*p1^2+1008*(
2357367383232-9648555460249/20*n+796737612347/24*n^2-3029884433/3*n^3+124052175
/8*n^4-7629953/60*n^5+1379/3*n^6)*p3*p2+504*(249911297160-75253671049/3*n+
2315956909/3*n^2-28402955/3*n^3+157430/3*n^4-85*n^5)*p4*p3+252*(3833841876-\
869049619/3*n+22757377/3*n^2-573175/6*n^3+2045/3*n^4-5/2*n^5)*p4*p1^3+336*(-\
37810352328+3155080632*n-86625864*n^2+1023456*n^3-4908*n^4)*p3^2*p1+252*(-\
44291958816+10730421100/3*n-290149360/3*n^2+3440828/3*n^3-16328/3*n^4)*p3*p2^2+
84*(-470223984+28262184*n-564132*n^2+4728*n^3-12*n^4)*p3*p1^4+126*(5926758552-\
442148034*n+11764200*n^2-140934*n^3+672*n^4)*p2^3*p1+126*(-613799976+123137050/
3*n-3025168/3*n^2+34730/3*n^3-164/3*n^4)*p2^2*p1^3+126/5*(49733440-2530540*n+
43860*n^2-280*n^3)*p2*p1^5+216*(60074280-583240*n+1960*n^2)*p7*p4-798336*p7*p1^
4+1008*(-378118544448+1272844961423/20*n-30350839567/8*n^2+107257312*n^3-\
13070001/8*n^4+276257/20*n^5-52*n^6)*p3*p1^2+756*(-467943812928+1147693369891/
15*n-8865127841/2*n^2+123258825*n^3-11208073/6*n^4+230834/15*n^5-166/3*n^6)*p2^
2*p1+504*(66516010704-46321020262/5*n+1418829958/3*n^2-35862131/3*n^3+169370*n^
4-20009/15*n^5+14/3*n^6)*p2*p1^3+3024*(4741007086080-29549152465517/15*n+
67388607245953/240*n^2-220706227885/12*n^3+121091768987/192*n^4-372082571/30*n^
5+70661419/480*n^6-12065/12*n^7+595/192*n^8)*p2*p1+1512*(1685234998800-\
1074681713642/3*n+26278990087*n^2-1757875969/2*n^3+182386979/12*n^4-1735651/12*
n^5+8425/12*n^6-5/4*n^7)*p4*p1+13999104*p3^3*p2+3024/25*(-6615000+44100*n)*p5^2
*p1+336/5*(-6274800+30240*n)*p5*p3^2+126/5*(1036980-7560*n)*p5*p2^3+3024*p6*p1^
5+63*(-6090000+32800*n)*p4^2*p3+108*(-8428224+115360*n-448*n^2)*p7*p2^2+1008/5*
(62196120-488355*n+1155*n^2)*p6*p5+3024/5*(46318140-959640*n+4620*n^2)*p10*p1+
336*(57891240-1039995*n+4455*n^2)*p9*p2+336*(-5056920+89595*n-495*n^2)*p9*p1^2+
252*(56815560-707832*n+2952*n^2)*p8*p3+126*(431784-5292*n+36*n^2)*p8*p1^3-\
1064448*p3^3*p1^2-589680*p3*p2^4+20412*p2^5*p1+756*(4470937560-249121818*n+
4193433*n^2-28278*n^3+63*n^4)*p8*p1+432*(6074525772-301260624*n+4381573*n^2-\
24878*n^3+49*n^4)*p7*p2+432*(-608045340+28301336*n-423171*n^2+2954*n^3-7*n^4)*
p7*p1^2+336*(6959474424-303467088*n+6861687/2*n^2-15141*n^3+51/2*n^4)*p6*p3+189
*(-931004760+34785300*n-363900*n^2+1400*n^3)*p4^2*p1+63/5*(385400-4000*n)*p4*p1
^5+56*(-9379728+230472*n-1368*n^2)*p3^2*p1^3+42*(146320956-4668168*n+38592*n^2)
*p3*p2^3+168*(70807104-5211195/2*n+127893/4*n^2-465/2*n^3+3/4*n^4)*p6*p1^3+1512
/5*(7565901840-317246475*n+3192875*n^2-11200*n^3)*p5*p4+756/5*(-1036738920+
40539800*n-463960*n^2+1680*n^3)*p5*p2^2+252/5*(-6422640+153720*n-840*n^2)*p5*p1
^4-4032*p3*p2^2*p1^4+20160*p4*p3*p1^4+84672*p5*p2*p1^4+504*p6*p2^2*p1^3-2520*p6
*p4*p1^3-12096*p7*p2^2*p1^2-3975552*p3^2*p2^2*p1+153216*p3^2*p2*p1^3+217728*p3*
p2^3*p1^2-2540160*p5*p3*p1^3+63504*p6*p5*p1^2-413280*p6*p4*p3+48384*p6*p3^2*p1+
46368*p6*p3*p2^2-4536*p6*p2^3*p1-1016064*p7*p5*p1-907200*p7*p4*p2+60480*p7*p4*
p1^2-529200*p6*p5*p2+332640*p9*p2*p1^2-1496880*p8*p4*p1-1596672*p8*p3*p2+108864
*p8*p3*p1^2+217728*p8*p2^2*p1-2661120*p9*p3*p1-5787936*p10*p2*p1+63/2*(-37800+
400*n)*p4^2*p1^3-2268*p2^4*p1^3+113400*p6*p4*p2*p1+13305600*p9*p4-12096*p6*p3*
p2*p1^2-9072*p8*p2*p1^3+126*(-77760+480*n)*p4*p3*p2*p1^2+1008/5*(826560-5040*n)
*p5*p3*p2*p1+22087296*p10*p3+193536*p7*p3*p2*p1-518192640*p13+6048*(-\
2117187072000+6398671413321/2*n-348700813401307/240*n^2+133388591124799/480*n^3
-8321527318441/320*n^4+2492298897701/1920*n^5-70867832449/1920*n^6+203742859/
320*n^7-3303151/480*n^8+28063/640*n^9-49/384*n^10)*p1+112/3*(-1043482608+
31942512*n-250992*n^2)*p3^3+252/5*(-8440812480+978664315*n-81722055/2*n^2+
808650*n^3-16425/2*n^4+35*n^5)*p1^5+2016*(-11293268313600+12852650656341/2*n-\
74178084765397/60*n^2+8487753968081/80*n^3-144335035381/32*n^4+1610391785/16*n^
5-49794267/40*n^6+343917/40*n^7-2597/96*n^8)*p3+1008*(-1205117637120+
1913281755442/5*n-10408882782523/240*n^2+11844327453/5*n^3-4563249075/64*n^4+
25632607/20*n^5-2272923/160*n^6+1813/20*n^7-49/192*n^8)*p1^3+864*(-749592043200
+104925665677*n-9445057755/2*n^2+172486111/2*n^3-714007*n^4+5271/2*n^5-7/2*n^6)
*p7+6048/11*(-367567200+8204196*n-36036*n^2)*p11+6048/5*(-5923418941440+
3268089400107/2*n-3678529389325/24*n^2+302530029445/48*n^3-1989321845/16*n^4+
60226397/48*n^5-308455/48*n^6+105/8*n^7)*p5+6/5*(-2157120+35280*n)*p1^7+672*(-\
29442132720+1933917480*n-35048475*n^2+228690*n^3-495*n^4)*p9+66044160*p12*p1+
42928704*p11*p2-3302208*p11*p1^2+66528*p10*p1^3+36288*p7*p2^3-762048*p6^2*p1-\
1663200*p9*p2^2+8763552*p8*p5+10088064*p7*p6-387072*p7*p3^2
[7, 3, 2, 2, 2, 2, 2]
-15523200*p9*p2*p1^2-11531520*p10*p1^3-6259680*p8*p2^2*p1-8467200*p8*p3*p1^2-\
725760*p7*p2^3-6021120*p7*p3*p2*p1-4838400*p7*p4*p1^2+184504320*p10*p2*p1-\
1075200*p6*p3^2*p1+220147200*p11*p1^2-2520000*p6*p4*p2*p1-2257920*p6*p5*p1^2+
36126720*p7*p5*p1+37497600*p8*p3*p2-766080*p6*p3*p2^2+60782400*p8*p4*p1+
36590400*p9*p2^2+100531200*p9*p3*p1+16934400*p6^2*p1+8601600*p7*p3^2+20160000*
p7*p4*p2+6854400*p6*p4*p3+8805888*p6*p5*p2-2495001600*p12*p1-1012677120*p11*p2-\
553512960*p10*p3-343728000*p9*p4-323635200*p3^3*p2-221501952*p8*p5+4032*(-\
301498694+12297131*n-139580*n^2+525*n^3)*p5*p2*p1^2+3360*(1894647020-62818370*n
+514330*n^2-860*n^3)*p4*p3*p2+3360*(-320783680+11840690*n-106430*n^2+220*n^3)*
p4*p3*p1^2+2520*(-284693632+9849205*n-89475*n^2+210*n^3)*p4*p2^2*p1+1680*(
45017144-1638215*n+16285*n^2-50*n^3)*p4*p2*p1^3+2240*(-285647360+9029136*n-\
65232*n^2)*p3^2*p2*p1+1680*(41203120-1296892*n+9300*n^2)*p3*p2^2*p1^2+560*(-\
5964140+186480*n-1332*n^2)*p3*p2*p1^4+1260*(-1972600+10000*n)*p4^2*p2*p1+1120*(
-1760880+4800*n)*p4*p3^2*p1+840*(-1467240+4560*n)*p4*p3*p2^2+84*(4060-40*n)*p4*
p2*p1^5+1008*(299040-2520*n)*p5*p2^2*p1^2+336*(-41860+420*n)*p5*p2*p1^4+1680*(-\
2198976+24723*n-63*n^2)*p6*p2^2*p1+1120*(365904-4875*n+15*n^2)*p6*p2*p1^3+2016*
(13220060-74340*n)*p5*p4*p2+2016*(-2592800+18200*n)*p5*p4*p1^2+896*(341880-2520
*n)*p5*p3*p1^3+5040*(17208384-280512*n+1008*n^2)*p8*p2*p1+3840*(17235736-191464
*n+616*n^2)*p7*p3*p1+2880*(-2653252+40012*n-140*n^2)*p7*p2*p1^2+3360*(17871960-\
145785*n+285*n^2)*p6*p4*p1+2240*(13436064-110346*n+258*n^2)*p6*p3*p2-199342080*
p7*p6+5376*(2064499332-82934026*n+802312*n^2-2310*n^3)*p5*p3*p1+6720*(
1852109280-83199052*n+1046886*n^2-4820*n^3+6*n^4)*p6*p2*p1+6720*(-11997816132+
2932487485/3*n-79960181/3*n^2+900983/3*n^3-3763/3*n^4)*p3*p2*p1^2+8064*(-\
116559300+2506075*n-9295*n^2)*p10*p1+4480*(-103699530+1776555*n-6435*n^2)*p9*p2
+4480*(19139670-393525*n+1485*n^2)*p9*p1^2+3360*(-105699456+1260576*n-4320*n^2)
*p8*p3+1680*(-2911608+55080*n-216*n^2)*p8*p1^3+1440*(14354732-183708*n+588*n^2)
*p7*p2^2+480*(391468-6412*n+28*n^2)*p7*p1^4+420*(344400-2400*n)*p4^2*p1^3+336*(
-1656396+11340*n)*p5*p2^3+840*(11398800-40800*n)*p4^2*p3+2240/3*(45576528-\
1523520*n+11664*n^2)*p3^2*p1^3+13440*(-279625411716+33345734258*n-5241406871/4*
n^2+170310475/8*n^3-1209815/8*n^4+3661/8*n^5-3/8*n^6)*p6*p1+6720*(-421341687984
+42551109484*n-2559167325/2*n^2+14319960*n^3-135915/2*n^4+80*n^5)*p4*p3+10080*(
-9641209032+572656260*n-9553011*n^2+53994*n^3-99*n^4)*p8*p1+5760*(1732238088-\
92814890*n+1454460*n^2-8064*n^3+14*n^4)*p7*p1^2+336*(-274400952+116789477/6*n-\
5644001/12*n^2+27715/6*n^3-175/12*n^4)*p2*p1^5+1680*(-11935802424+1793610285/2*
n-90538641/4*n^2+476235/2*n^3-3519/4*n^4)*p2^3*p1+280*(-5550696+164466*n-1026*n
^2)*p2^3*p1^3+672*(44998590-1863715*n+22540*n^2-105*n^3)*p5*p1^4+369600*p9*p1^4
+786240*p8*p2*p1^3-6048*p8*p1^5+430080*p7*p3*p1^3+483840*p7*p2^2*p1^2-26880*p7*
p2*p1^4+201600*p6*p4*p1^3+376320*p6*p3*p2*p1^2-13440*p6*p3*p1^4+90720*p6*p2^3*
p1-20160*p6*p2^2*p1^3+672*p6*p2*p1^5+56448*p5*p1^6+113137920*p3^2*p2^2*p1+
61286400*p3^3*p1^2+11067840*p3*p2^4+145152*p3^2*p1^5-7499520*p3*p2^3*p1^2-\
12418560*p3^2*p2*p1^3+504000*p3*p2^2*p1^4-5376*p3*p2*p1^6-408240*p2^5*p1+90720*
p2^4*p1^3-3024*p2^3*p1^5+13127546880*p13+8064/5*(18000640-117600*n)*p5^2*p1+896
*(11712288-50400*n)*p5*p3^2+112*(-42048+519*n-3*n^2)*p6*p1^5+2880*(-112333620+
985460*n-2660*n^2)*p7*p4+2688*(-116563608+814674*n-1218*n^2)*p6*p5+10080*(
69404367536-12687398771/2*n+2269322309/12*n^2-4655245/2*n^3+148315/12*n^4-20*n^
5)*p4*p2*p1+8960*(51226002828-6731971455/2*n+232845525/4*n^2-662145/2*n^3+2475/
4*n^4)*p9+6720*(-142644407136+671068420033/30*n-30938358613/24*n^2+1714553489/
48*n^3-24747173/48*n^4+300577/80*n^5-497/48*n^6)*p2*p1^3+13440*(1982717402544-\
6730763271513/10*n+1993219333163/24*n^2-200153461099/40*n^3+15909499709/96*n^4-\
382215499/120*n^5+1714163/48*n^6-3241/15*n^7+49/96*n^8)*p1^3+16128*(
9185610309876-25665587612007/10*n+2905990521539/12*n^2-118102983817/12*n^3+
1478017415/8*n^4-201596171/120*n^5+180677/24*n^6-105/8*n^7)*p5+16*(36548792-\
2275574*n+44828*n^2-294*n^3)*p1^7+1680*(1862697032-139363297*n+7136011/2*n^2-\
37959*n^3+277/2*n^4)*p2^2*p1^3+1120*(1844151320-146723554*n+7995705/2*n^2-45646
*n^3+391/2*n^4)*p3*p1^4+20160*(-2795089347888+3717218697547/6*n-1140984726281/
24*n^2+26301013731/16*n^3-1343923633/48*n^4+11537059/48*n^5-47005/48*n^6+5/4*n^
7)*p4*p1+3360*(75665960720-6022736824*n+308600755/2*n^2-1641144*n^3+13021/2*n^4
)*p3*p2^2+11520*(1229656860432-173733154483*n+46534080803/6*n^2-806885051/6*n^3
+2968070/3*n^4-19159/6*n^5+7/2*n^6)*p7+1680*(273520-1120*n)*p4*p3*p2*p1^2+2688*
(-1989568+11760*n)*p5*p3*p2*p1+80640/11*(675098424-14756742*n+54054*n^2)*p11+
3360*(-10929950712+988869400*n-30689669*n^2+410565*n^3-2425*n^4+5*n^5)*p4*p1^3+
4480*(75160677200-6655788636*n+186945712*n^2-2052188*n^3+8536*n^4)*p3^2*p1+
10080*(812692443312-1388299422723/10*n+199471173325/24*n^2-3677763091/16*n^3+
155605717/48*n^4-1865161/80*n^5+1051/16*n^6)*p2^2*p1+168*(-6092848+210335*n-\
2045*n^2+10*n^3)*p4*p1^5+560*(-247055220+7387884*n-50760*n^2)*p3*p2^3+210*(
36415872-1069092*n+6804*n^2)*p2^4*p1+84*(696064-19198*n+102*n^2)*p2^2*p1^5+8*(-\
58184+1176*n)*p2*p1^7+112/3*(678072-17496*n+72*n^2)*p3*p1^6+2240*(-2585952+
25386*n-66*n^2)*p6*p3*p1^2+8064*(57951573582-17954894657/3*n+1254664103/6*n^2-\
18701249/6*n^3+123655/6*n^4-105/2*n^5)*p5*p1^2+8064*(-362942195322+113789262811
/3*n-2468626671/2*n^2+48505520/3*n^3-190855/2*n^4+210*n^5)*p5*p2+280*(-40200+
240*n)*p4*p3*p1^4+5760*(-10687646760+1556946958/3*n-6948830*n^2+103796/3*n^3-56
*n^4)*p7*p2+4480*(-12421964520+536462040*n-5525748*n^2+20676*n^3-24*n^4)*p6*p3+
2240*(-292145580+13957017*n-396657/2*n^2+1053*n^3-3/2*n^4)*p6*p1^3+420*(227340-\
1080*n)*p4*p2^3*p1+420*(-36600+240*n)*p4*p2^2*p1^3+2016*(1808230214-67562523*n+
687792*n^2-2205*n^3)*p5*p2^2+4032*(-13523112498+561624735*n-5021170*n^2+14035*n
^3)*p5*p4+2520*(2158282560-84444250*n+758750*n^2-1900*n^3)*p4^2*p1+40320*(-\
7226664089904+15428211622557/5*n-81699088426031/180*n^2+2762951881817/90*n^3-\
154762120771/144*n^4+3745885573/180*n^5-82486723/360*n^6+246901/180*n^7-161/48*
n^8)*p2*p1+672*(24357799536-105787143521/30*n+4601291053/24*n^2-243589273/48*n^
3+1115175/16*n^4-37289/80*n^5+49/48*n^6)*p1^5+13440*(-3743322925920+
2326087882222/3*n-639574839143/12*n^2+37778134615/24*n^3-537680179/24*n^4+
1307955/8*n^5-11935/24*n^6)*p3*p2+13440*(698442920088-382411098587/3*n+
99614113565/12*n^2-6055399763/24*n^3+31225589/8*n^4-244839/8*n^5+2375/24*n^6)*
p3*p1^2+26880*(16685753810544-48060838815943/5*n+37388731408287/20*n^2-\
3866095863833/24*n^3+54122590953/8*n^4-4332661097/30*n^5+98032919/60*n^6-79961/
8*n^7+637/24*n^8)*p3+4480/9*(1892822400-56633472*n+393120*n^2)*p3^3+80640*(
3016991577600-138123497580041/30*n+38186264263577/18*n^2-198243282512603/480*n^
3+56747158312231/1440*n^4-11533523063807/5760*n^5+66016829603/1152*n^6-\
2780300287/2880*n^7+3104627/320*n^8-314111/5760*n^9+49/384*n^10)*p1
[7, 2, 2, 2, 2, 2, 2, 2]
753392640*p10*p1^3+158054400*p7*p4*p1^2+228614400*p8*p2^2*p1+338688000*p8*p3*p1
^2+745113600*p9*p2*p1^2+59270400*p6*p4*p2*p1+56899584*p6*p5*p1^2+20321280*p7*p2
^3+180633600*p7*p3*p2*p1-9862594560*p11*p1^2+16934400*p6*p3*p2^2+25088000*p6*p3
^2*p1-1016064000*p8*p3*p2-1778112000*p8*p4*p1-1117670400*p9*p2^2-3311616000*p9*
p3*p1-6780533760*p10*p2*p1-200704000*p7*p3^2-474163200*p7*p4*p2-910393344*p7*p5
*p1+83832053760*p12*p1-131712000*p6*p4*p3-170698752*p6*p5*p2-347719680*p6^2*p1+
29587783680*p11*p2+15067852800*p10*p3+8429568000*p3^3*p2+8692992000*p9*p4+94080
*(-36124550+1421320*n-13530*n^2+30*n^3)*p4*p2*p1^3+125440*(159485840-5051836*n+
33060*n^2)*p3^2*p2*p1+94080*(-28410096+907836*n-5814*n^2)*p3*p2^2*p1^2+31360*(
6261152-216874*n+1488*n^2)*p3*p2*p1^4+112896*(-6488580+29610*n)*p5*p4*p2+112896
*(1880620-9870*n)*p5*p4*p1^2+56448*(-236376+1890*n)*p5*p2^2*p1^2+62720*(981400-\
2000*n)*p4*p3^2*p1+5120962560*p8*p5+47040*(721980-1800*n)*p4*p3*p2^2+376320*(-\
985758948+91742283/2*n-2304471/4*n^2+4893/2*n^3-9/4*n^4)*p6*p2*p1+301056*(-\
1086360184+44544984*n-408646*n^2+1050*n^3)*p5*p3*p1+225792*(193681964-8377026*n
+94521*n^2-315*n^3)*p5*p2*p1^2+282240*(-10270332+170100*n-540*n^2)*p8*p2*p1+
215040*(-9913312+104328*n-280*n^2)*p7*p3*p1+161280*(2009504-30828*n+84*n^2)*p7*
p2*p1^2+188160*(-10185930+68145*n-105*n^2)*p6*p4*p1+125440*(-6652572+50274*n-90
*n^2)*p6*p3*p2+125440*(1880844-16638*n+30*n^2)*p6*p3*p1^2+94080*(1381266-14931*
n+27*n^2)*p6*p2^2*p1+62720*(-370914+4941*n-9*n^2)*p6*p2*p1^3+15680*(53620-200*n
)*p4*p3*p1^4+4704*(-9030+60*n)*p4*p2*p1^5+376320*(6509200440-1138390707/2*n+
65330307/4*n^2-365479/2*n^3+2753/4*n^4)*p3*p2*p1^2+564480*(-32786947298+
12550752915/4*n-772252675/8*n^2+4714795/4*n^3-46165/8*n^4+15/2*n^5)*p4*p2*p1+
188160*(-889471940+29369560*n-220710*n^2+300*n^3)*p4*p3*p2+188160*(203807820-\
7833210*n+64420*n^2-100*n^3)*p4*p3*p1^2+141120*(161297970-5658735*n+47565*n^2-\
90*n^3)*p4*p2^2*p1+23520*(35910-180*n)*p4*p2^2*p1^3+23520*(-137970+540*n)*p4*p2
^3*p1-41395200*p9*p1^4+322560*(4846699704-238671366*n+3188731*n^2-15190*n^3+21*
n^4)*p7*p2+224*(2170-20*n)*p4*p1^7-50803200*p8*p2*p1^3+18816*(872424-5670*n)*p5
*p2^3+47040*(-5282200+14000*n)*p4^2*p3+150528*(54258540-311670*n+378*n^2)*p6*p5
+451584/5*(-10301760+52920*n)*p5^2*p1+50176*(-5529440+21000*n)*p5*p3^2+23520*(-\
328300+1400*n)*p4^2*p1^3+6272/5*(-15680+210*n)*p5*p1^6+26880*(-524608+10164*n-\
28*n^2)*p7*p1^4+564480*(-345530053480+246636923789/4*n-15440871625/4*n^2+
1769596995/16*n^3-25149889/16*n^4+172425/16*n^5-411/16*n^6)*p2^2*p1+376320*(
69306619608-141394532591/12*n+8886207335/12*n^2-1068813901/48*n^3+16285507/48*n
^4-38989/16*n^5+91/16*n^6)*p2*p1^3+15680*(4864644-145341*n+729*n^2)*p2^3*p1^3+
448*(205184-6121*n+21*n^2)*p2*p1^7+451584*(153197811480-32629468053/2*n+
2148389611/4*n^2-27985111/4*n^3+157689/4*n^4-315/4*n^5)*p5*p2+451584*(-\
29130082800+19355066389/6*n-481355861/4*n^2+22344511/12*n^3-47439/4*n^4+105/4*n
^5)*p5*p1^2+376320*(177026215660-108786141695/6*n+6548451115/12*n^2-35628205/6*
n^3+311465/12*n^4-25*n^5)*p4*p3+188160*(6352555186-7609528555/12*n+518453855/24
*n^2-3658775/12*n^3+40225/24*n^4-5/2*n^5)*p4*p1^3+250880*(-35365091216+
3269334789*n-564635819/6*n^2+1008231*n^3-23005/6*n^4)*p3^2*p1+564480*(
4812828564-297121848*n+5015337*n^2-27510*n^3+45*n^4)*p8*p1-20070400*p7*p3*p1^3+
11760*(-22007592+627048*n-3240*n^2)*p2^4*p1+125440/3*(-36201840+1293912*n-9120*
n^2)*p3^2*p1^3+2257920*p7*p2*p1^4-20321280*p7*p2^2*p1^2+1693440*p8*p1^5-50176*
p7*p1^6-6585600*p6*p4*p1^3-2540160*p6*p2^3*p1-11289600*p6*p3*p2*p1^2-56448*p6*
p2*p1^5+627200*p6*p3*p1^4+3888783360*p7*p6+846720*p6*p2^2*p1^3+896*p6*p1^7-\
2308096000*p3^3*p1^2-3567513600*p3^2*p2^2*p1+617164800*p3^2*p2*p1^3-15554560*p3
^2*p1^5-289578240*p3*p2^4+284497920*p3*p2^3*p1^2+978432*p3*p2*p1^6-33304320*p3*
p2^2*p1^4-7168*p3*p1^8+11430720*p2^5*p1-3810240*p2^4*p1^3+254016*p2^3*p1^5-4032
*p2^2*p1^7-350067916800*p13+188160*(49836360-577080*n+1800*n^2)*p8*p3+6272*(
95730-1635*n+3*n^2)*p6*p1^5+322560*(-1022673432+176528786/3*n-957733*n^2+15022/
3*n^3-7*n^4)*p7*p1^2+250880*(5557360872-239825273*n+4763289/2*n^2-8239*n^3+15/2
*n^4)*p6*p3+70560*(1161300-4200*n)*p4^2*p2*p1+94080*(6030098028-1898653311/4*n+
97902639/8*n^2-492885/4*n^3+3033/8*n^4)*p2^3*p1+141120*(-1133836900+44986450*n-\
365750*n^2+700*n^3)*p4^2*p1+225792*(6036337440-248953250*n+2065205*n^2-4935*n^3
)*p5*p4+31360*(123928488-3632634*n+22032*n^2)*p3*p2^3+18816*(62160-630*n)*p5*p2
*p1^4+112896*(-863729244+32637456*n-320229*n^2+945*n^3)*p5*p2^2+37632*(-\
41889652+2039688*n-27685*n^2+105*n^3)*p5*p1^4+125440*(211359432-22537657/2*n+
686229/4*n^2-1619/2*n^3+3/4*n^4)*p6*p1^3+188160*(-33299007448+5426120473/2*n-\
280762341/4*n^2+1441809/2*n^3-10239/4*n^4)*p3*p2^2+4704*(-1027164+31416*n-144*n
^2)*p2^2*p1^5+752640*(124983473910-15557249060*n+2540652333/4*n^2-83918053/8*n^
3+580781/8*n^4-1603/8*n^5+1/8*n^6)*p6*p1+752640*(-306473935440+355515943289/6*n
-12328990012/3*n^2+1060719495/8*n^3-51122345/24*n^4+393967/24*n^5-1151/24*n^6)*
p3*p1^2+50176*(-332192+2100*n)*p5*p3*p1^3+752640*(1482677511312-1879224434917/6
*n+65700821330/3*n^2-15695738693/24*n^3+222681617/24*n^4-519941/8*n^5+1421/8*n^
6)*p3*p2+18816*(236061360-79386171/4*n+4515507/8*n^2-24401/4*n^3+133/8*n^4)*p2*
p1^5+94080*(-1195648012+394295189/4*n-21682065/8*n^2+114363/4*n^3-687/8*n^4)*p2
^2*p1^3+1128960*(1137115273468-3133275826919/12*n+250010041711/12*n^2-\
35876837825/48*n^3+207744765/16*n^4-1746405/16*n^5+19565/48*n^6-5/12*n^7)*p4*p1
+150528*(1193136-6300*n)*p5*p3*p2*p1+94080*(-198660+600*n)*p4*p3*p2*p1^2+645120
*(-502211149440+216143546707/3*n-6486711019/2*n^2+111896141/2*n^3-1210342/3*n^4
+7399/6*n^5-7/6*n^6)*p7+62720*(-1278967376+232021213/2*n-43043251/12*n^2+88757/
2*n^3-2153/12*n^4)*p3*p1^4+1505280*(-6161341848480+10793212665971/3*n-\
17043642443245/24*n^2+4466335525949/72*n^3-252452320013/96*n^4+4044509645/72*n^
5-30042911/48*n^6+131215/36*n^7-833/96*n^8)*p3+2257920*(2738321076960-\
35977621160461/30*n+8730633469571/48*n^2-611739687851/48*n^3+29611265349/64*n^4
-1103821981/120*n^5+9707039/96*n^6-27611/48*n^7+77/64*n^8)*p2*p1+4515840/11*(-\
310390080+6675240*n-24024*n^2)*p11+9408*(7799190-338175*n+3805*n^2-10*n^3)*p4*
p1^5+112/9*(-38112+1008*n)*p1^9+903168*(-3550125338760+6048797728331/6*n-\
96510378505*n^2+31660093607/8*n^3-889429849/12*n^4+7924175/12*n^5-33551/12*n^6+
35/8*n^7)*p5+37632*(-13965172800+27361766287/12*n-1702106815/12*n^2+69209739/16
*n^3-3247411/48*n^4+23555/48*n^5-49/48*n^6)*p1^5+752640*(-794309075280+
4250165492131/15*n-594435869659/16*n^2+345769983715/144*n^3-16448350385/192*n^4
+79315292/45*n^5-660111/32*n^6+17773/144*n^7-49/192*n^8)*p1^3+896*(-46181240+
15449521/4*n-2616191/24*n^2+4487/4*n^3-49/24*n^4)*p1^7+4515840*(-1077496992000+
99604223774303/60*n-558822409665491/720*n^2+221707489838173/1440*n^3-\
8658149429735/576*n^4+1506561248339/1920*n^5-133077569017/5760*n^6+127038021/
320*n^7-380371/96*n^8+24325/1152*n^9-49/1152*n^10)*p1+161280*(52363080-405740*n
+980*n^2)*p7*p4+94080*(2700084-55980*n+180*n^2)*p8*p1^3+250880*(-13388760+
287100*n-990*n^2)*p9*p1^2+250880*(50640480-873180*n+2970*n^2)*p9*p2+451584*(
64909130-1406405*n+5005*n^2)*p10*p1+80640*(-7404048+93492*n-252*n^2)*p7*p2^2+
6272/3*(-1323384+48564*n-366*n^2)*p3*p1^6+501760*(-22231689480+1471699515*n-\
50401395/2*n^2+140910*n^3-495/2*n^4)*p9+250880/9*(-873902400+25774560*n-163800*
n^2)*p3^3
[6, 6, 4]
-1728*p5*p3*p2*p1-46656*p3*p2^3+24192*p6*p3*p2-155520*p4*p2^2*p1+20736*p7*p3*p1
+15552*p8*p2*p1-103680*p4*p3*p1^2+10800*p4^2*p3+25920*p5*p4*p2+36*(42001416-\
2150640*n+20160*n^2)*p4*p2*p1+24*(-2702016+98784*n-1008*n^2)*p3*p2*p1^2+8*(-\
46872+864*n)*p3^2*p2*p1+24*(405216-6048*n)*p6*p2*p1+96/5*(691125-23100*n+210*n^
2)*p5*p3*p1+72/5*(-16200+240*n)*p5*p2*p1^2+16/5*(14130-360*n)*p5*p3^2-1584*p10*
p3+12*(-86940+1944*n)*p8*p3+48/5*(-97020+1680*n)*p6*p5+144/25*(4275-50*n)*p5^2*
p1+144/5*(-17325+110*n)*p10*p1+144*p5^2*p3+48*(-261755865+22413594*n-551040*n^2
+4032*n^3)*p6*p1+24*(-564420930+51246276*n-1378680*n^2+11520*n^3)*p4*p3+12*(-\
1166400+17280*n)*p4*p1^3+36*(-4289940+153216*n-1152*n^2)*p8*p1+144/7*(-8104320+
254016*n)*p7*p2+144/7*(172368-2016*n)*p7*p1^2+72/5*(-12464340+467800*n-3000*n^2
)*p5*p4+36/5*(717840-8640*n)*p5*p2^2+9*(464400-2400*n)*p4^2*p1+6*(-3418848+
77760*n)*p2^3*p1-570240*p9*p2-622080*p7*p4+62208*p3*p1^4+16*(54293391-3664926*n
+84636*n^2-720*n^3)*p3^2*p1+16*(-12456045+571788*n-7056*n^2)*p6*p3-2592*p8*p5+
12*(1068840-21600*n)*p4*p3*p2+144/5*(-451831440+38130020*n-817140*n^2+2160*n^3)
*p5*p2+144/5*(24453120-1317380*n+20380*n^2-120*n^3)*p5*p1^2+12*(69646212-\
3782160*n+40176*n^2)*p3*p2^2+6*(85536-1728*n)*p2^2*p1^3+72*(-4418372910+
784994424*n-44370928*n^2+953760*n^3-6480*n^4)*p4*p1+48*(723539592-89632008*n+
3527436*n^2-58128*n^3+396*n^4)*p3*p1^2+48*(-6701382720+1204366908*n-68328192*n^
2+1424376*n^3-8100*n^4)*p3*p2+144*(-16350747360+30159801032/5*n-725126036*n^2+
36227520*n^3-753228*n^4+24408/5*n^5)*p2*p1+288*(9081072000-13171716324*n+
27941586078/5*n^2-4835197986/5*n^3+77717316*n^4-2997078*n^5+257742/5*n^6-1404/5
*n^7)*p1+96*(42820481340-22741542372*n+19955357802/5*n^2-301504158*n^3+10388124
*n^4-148374*n^5+2538/5*n^6)*p3+288/7*(1895013120-237132840*n+9037728*n^2-108864
*n^3)*p7+288/11*(540540-12012*n)*p11+36*(971120628-116330952*n+3910608*n^2-\
33696*n^3)*p2^2*p1+24*(-71078040+5346144*n-110448*n^2+864*n^3)*p2*p1^3+288/5*(
18794440665-4714529946*n+389915220*n^2-13046760*n^3+158460*n^4-144*n^5)*p5+48*(
3382647120-853659396*n+69292896*n^2-2313240*n^3+34164*n^4-216*n^5)*p1^3+12/5*(
2566080-51840*n)*p1^5+16/9*(1996245-93960*n+1296*n^2)*p3^3+32*(57026970-3380850
*n+47520*n^2)*p9+30240*p13+5184*p3*p2^2*p1^2
[6, 6, 3, 2]
54432*p6*p2^2*p1+51840*p7*p2*p1^2+25920*p5*p4*p1^2+11664*p5*p2^3+16200*p4^2*p2*
p1-570240*p9*p1^2-907200*p6*p4*p1-653184*p7*p2^2-64800*p4^2*p3+3628800*p6*p1^3+
54/5*(-97600+1200*n)*p5*p4*p2+144/7*(-54600+672*n)*p7*p3*p1+12*(-84924+1008*n)*
p6*p3*p2+27*(-71640+720*n)*p8*p2*p1+18*(1002240-12960*n)*p8*p3+9504*p10*p3+
33696*p11*p2+39312*p12*p1+216/25*(-107300+4525/2*n-25/2*n^2)*p5^2*p1+24/5*(-\
82440+1440*n)*p5*p3^2+38880*p8*p5+108/7*(1030400-6720*n)*p7*p4+24192*p7*p6+72/5
*(1403640-24045*n+105*n^2)*p6*p5+54*(-783188100+53107180*n-1072020*n^2+7200*n^3
)*p4*p2*p1+36*(74475204-3796812*n+65148*n^2-432*n^3)*p3*p2*p1^2+9*(-86688+1152*
n)*p3*p2^2*p1^2-864*p5^2*p3+27/2*(1406880-23040*n)*p4*p2^2*p1+216/5*(588170-\
17875/2*n+55/2*n^2)*p10*p1+12*(1380186-34704*n+288*n^2)*p3^2*p2*p1+108/5*(
939980-23140*n+180*n^2)*p5*p2*p1^2+24*(969210-11880*n)*p9*p2+18*(-19530240+
459600*n-2880*n^2)*p4*p3*p2+36*(-12751158+401604*n-3276*n^2)*p6*p2*p1+144/5*(-\
13938300+905295/2*n-11775/2*n^2+30*n^3)*p5*p3*p1-3024*p6*p5*p2+216*(
189174883520-72944213576*n+9378637338*n^2-529234160*n^3+14383338*n^4-190980*n^5
+1080*n^6)*p2*p1+18*(-1131271800+73959828*n-1332324*n^2+6480*n^3)*p3*p2^2+9*(-\
5727744+213552*n-2160*n^2)*p2^2*p1^3+108*(56743268552-10749066965*n+673421515*n
^2-17935810*n^3+216840*n^4-1080*n^5)*p4*p1+72*(83290657368-15655393953*n+
959136963*n^2-24087918*n^3+248832*n^4-864*n^5)*p3*p2+24*(-858634740+116831889/2
*n-2644245/2*n^2+14796*n^3-72*n^4)*p3^2*p1+216/5*(-497375040+33747035*n-721845*
n^2+7060*n^3-30*n^4)*p5*p1^2+36*(7489372560-680259600*n+18411780*n^2-180420*n^3
+720*n^4)*p4*p3+72*(3960751410-750700335/2*n+22443939/2*n^2-134862*n^3+630*n^4)
*p6*p1+24*(169134588-6773571*n+74403*n^2-252*n^3)*p6*p3+108/5*(183779400-\
6979000*n+66100*n^2-300*n^3)*p5*p4+54/5*(-19198840+509100*n-2700*n^2)*p5*p2^2+
27/2*(-13156800+281400*n-600*n^2)*p4^2*p1+217728*p2*p1^5-2592*p5*p2^2*p1^2+216/
7*(-6727504+176120*n-1176*n^2)*p7*p1^2+18*(623520-5760*n)*p4*p3*p1^2+54*(
85019256-3719790*n+46170*n^2-180*n^3)*p8*p1+216/7*(140700616-5692848*n+51408*n^
2)*p7*p2+3*(1683504-15552*n)*p3*p2^3+216/5*(6366565650-587134715*n+16143605*n^2
-150030*n^3+360*n^4)*p5*p2+18*(44167680-1700640*n+12960*n^2)*p4*p1^3+72*(-\
10615494336+1473970137*n-67741131*n^2+1383360*n^3-14802*n^4+72*n^5)*p3*p1^2+54*
(-13975998224+1939353022*n-88204134*n^2+1661472*n^3-12096*n^4)*p2^2*p1+6*(-\
2305152+13824*n)*p3*p1^4+9*(105466248-5416416*n+69984*n^2)*p2^3*p1+432*(-\
96864768000+712973205456/5*n-62013526302*n^2+11141854557*n^3-952766955*n^4+
207224559/5*n^5-938049*n^6+10800*n^7-54*n^8)*p1+432/11*(-8168160+180609*n-429*n
^2)*p11+36*(1406200032-142974960*n+4739136*n^2-69120*n^3+432*n^4)*p2*p1^3+432/5
*(-223621638240+115654006965/2*n-9992412675/2*n^2+366706545/2*n^3-5921085/2*n^4
+36795/2*n^5-45/2*n^6)*p5+72/5*(7590-120*n)*p5*p3*p2*p1+432/7*(-24420876480+
3145020102*n-127509942*n^2+1955856*n^3-9576*n^4)*p7+72*(-42541594560+
11756439768*n-1094241708*n^2+45282630*n^3-937014*n^4+10458*n^5-54*n^6)*p1^3+8/3
*(-20348820+562464*n-5184*n^2)*p3^3+216*p5^2*p2*p1+144*(-477634335360+
259857026598*n-47100189891*n^2+7472726667/2*n^3-283501575/2*n^4+5178825/2*n^5-\
41679/2*n^6+54*n^7)*p3-2376*p10*p2*p1+18/5*(-98709120+5467680*n-47520*n^2)*p1^5
-3456*p7*p5*p1+48*(-800719920+96148305/2*n-1559745/2*n^2+2970*n^3)*p9-20736*p5*
p1^4-725760*p13-311040*p4*p2*p1^3-139968*p2^4*p1+7776*p2^3*p1^3
[6, 6, 2, 2, 2]
-12096*p6*p5*p1^2-2592*p5^2*p2*p1+288*p5^2*p1^3+5760*p5^2*p3+36288*p6*p5*p2+
84672*p6^2*p1+10077696*p7*p2^2-3359232*p7*p2*p1^2+432000*p4^2*p3-1306368*p6*p2^
2*p1-194400*p4^2*p2*p1-139968*p5*p2^3+144*(-2548080+19440*n)*p8*p3+72*(-35820+
360*n)*p8*p1^3+864/7*(-3024000+30240*n)*p7*p4+432/5*(-41600+600*n)*p5*p4*p1^2+
192/5*(3795-60*n)*p5*p3*p1^3+144*(394800-5040*n)*p6*p4*p1+96*(173754-1512*n)*p6
*p3*p2+96*(-39438+504*n)*p6*p3*p1^2+432/5*(158400-1800*n)*p5*p4*p2+216*(265860-\
1080*n)*p8*p2*p1+576/5*(-3758580+60585*n-105*n^2)*p6*p5+1152/7*(332388-3024*n)*
p7*p3*p1+288*(49288701-1568196*n+9072*n^2)*p6*p2*p1+192/5*(111900-1200*n)*p5*p3
^2+108*(-4742640+60480*n)*p4*p2^2*p1+72*(560040-8640*n)*p4*p2*p1^3+1728/5*(-\
3123395+120615/2*n-55/2*n^2)*p10*p1+96*(-5187879+80856*n-432*n^2)*p3^2*p2*p1+
192*(-2214135+17820*n)*p9*p2+72*(470520-4320*n)*p3*p2^2*p1^2+24*(-45072+576*n)*
p3*p2*p1^4+432*(2600179910-193216560*n+4032180*n^2-22320*n^3)*p4*p2*p1+192*(
377685-5940*n)*p9*p1^2+24*(-3302856+23328*n)*p3*p2^3-207360*p4*p1^5+2939328*p2^
4*p1-466560*p2^3*p1^3+10368*p2^2*p1^5+120960*p6*p2*p1^3+1728/25*(483125-17025/2
*n+25/2*n^2)*p5^2*p1+32*(690093-17352*n+144*n^2)*p3^2*p1^3+108*(63767200-\
2059800*n+15000*n^2)*p4^2*p1+144/5*(594740-15160*n+120*n^2)*p5*p1^4+1728/7*(-\
356370588+13169520*n-90720*n^2)*p7*p2+432*(-334135140+17047110*n-217530*n^2+180
*n^3)*p8*p1+864/5*(-498936900+18601600*n-155500*n^2+300*n^3)*p5*p4+432/5*(
42928500-889740*n+3780*n^2)*p5*p2^2+1152*(1059348348240-582704075382*n+
106154454747*n^2-16656370839/2*n^3+602466759/2*n^4-9665901/2*n^5+56799/2*n^6-54
*n^7)*p3+1728*(-437945562240+174591200272*n-23330044818*n^2+1368251684*n^3-\
37904346*n^4+477288*n^5-2160*n^6)*p2*p1+576/5*(-17385+180*n)*p5*p3*p2*p1+64/3*(
48761190-779760*n+4320*n^2)*p3^3+3456/5*(524384640780-273181348545/2*n+
23400186435/2*n^2-819880485/2*n^3+11552205/2*n^4-48855/2*n^5+45/2*n^6)*p5+3456/
11*(22462440-480909*n+429*n^2)*p11+3456/7*(60835094320-7814435622*n+304748850*n
^2-4070808*n^3+11340*n^4)*p7+48*(42306972-2420568*n+43368*n^2-288*n^3)*p3*p1^4+
144/5*(806287260-91231840*n+3508360*n^2-56400*n^3+360*n^4)*p1^5+3456*(
205837632000-306378478296*n+135346839324*n^2-24761245635*n^3+4312432983/2*n^4-\
94974507*n^5+2129370*n^6-22842*n^7+189/2*n^8)*p1+124416*p7*p5*p1+28512*p10*p2*
p1-3168*p10*p1^3-63360*p10*p3+576*(111117266880-34222304160*n+3699700764*n^2-\
184750278*n^3+4605702*n^4-55818*n^5+270*n^6)*p1^3-570240*p8*p5-870912*p7*p6+
134784*p11*p1^2-404352*p11*p2-2358720*p12*p1+77760*p5*p2^2*p1^2-3456*p5*p2*p1^4
+16450560*p13+21600*p4^2*p1^3+124416*p1^7+41472*p7*p1^4+1152/5*(60624635-\
4066595/2*n+34095/2*n^2-30*n^3)*p5*p3*p1+864/5*(-5990320+155640*n-780*n^2)*p5*
p2*p1^2+144*(46883040-839160*n+4320*n^2)*p4*p3*p2+1728/7*(48098148-2065896*n+
21672*n^2)*p7*p1^2+192*(-446119506+16379559*n-128331*n^2+252*n^3)*p6*p3+144*(-\
7011120+195240*n-1440*n^2)*p4*p3*p1^2+96*(-6016311+208152*n-1764*n^2)*p6*p1^3+
144*(2772954516-164771460*n+2334636*n^2-9072*n^3)*p3*p2^2+72/5*(-3850080+147360
*n-1440*n^2)*p2*p1^5+576*(-200141678748+37594295883*n-2228720388*n^2+50210112*n
^3-391059*n^4+972*n^5)*p3*p2+864*(-147326394220+29611272905*n-1985458555*n^2+
55742410*n^3-643080*n^4+2160*n^5)*p4*p1+576*(33013152324-5278895299*n+285927580
*n^2-6549378*n^3+62061*n^4-180*n^5)*p3*p1^2+432*(38528825884-5673393534*n+
269447142*n^2-4930560*n^3+29160*n^4)*p2^2*p1+288*(-5768480412+748605420*n-\
32743872*n^2+585360*n^3-3780*n^4)*p2*p1^3+72*(39918684-1889136*n+21168*n^2)*p2^
2*p1^3+384*(2110448340-248665725/2*n+3626865/2*n^2-2970*n^3)*p9+576*(-\
12221716815+2558951115/2*n-83469519/2*n^2+474810*n^3-1008*n^4)*p6*p1+288*(-\
361289424+22175352*n-383220*n^2+1872*n^3)*p3*p2*p1^2+1728/5*(-16060291635+
1442707685*n-36079580*n^2+256800*n^3-405*n^4)*p5*p2+288*(-19114297520+
1707882960*n-42225900*n^2+301380*n^3-720*n^4)*p4*p3+144*(-332285570+23631060*n-\
514560*n^2+3600*n^3)*p4*p1^3+1728/5*(2164394265-187901725*n+5103980*n^2-47830*n
^3+75*n^4)*p5*p1^2+192*(2898269229-431095941/2*n+9284181/2*n^2-32364*n^3+72*n^4
)*p3^2*p1+72*(-333040572+16394400*n-171072*n^2)*p2^3*p1
[6, 5, 5]
150*p5*p4^2+25/2*(-1754880+50784*n-288*n^2)*p4*p1^3+15*(-12801600+1709470/3*n-\
6200*n^2+50/3*n^3)*p5*p4+8100*p8*p2*p1-900*p4^2*p2*p1-600*p5*p4*p1^2+6000*p9*p1
^2+150*(-15684001632+17347932731/3*n-4174809293/6*n^2+210966689/6*n^3-782857*n^
4+15123/2*n^5-205/6*n^6)*p2*p1+33600*p6*p4*p1+300*(8717829120-12646467478*n+
96624117799/18*n^2-33500216065/36*n^3+1355526475/18*n^4-107332945/36*n^5+
2049233/36*n^6-9035/18*n^7+25/12*n^8)*p1+25*(-72503472+5403816*n-96912*n^2+552*
n^3)*p2*p1^3-36000*p3^2*p2*p1+12600*p5^2*p1+300/11*(525525-12012*n)*p11+50/3*(
45828900-2232720*n+16560*n^2)*p3^2*p1+25/6*(72720-576*n)*p3*p1^4+75*(-\
4230203520+2230975144/3*n-123085612/3*n^2+2529692/3*n^3-18068/3*n^4+20*n^5)*p4*
p1+6000*p5*p3^2+5/2*(4128000-181920*n+1440*n^2)*p1^5+100/3*(54729675-3291045*n+
47880*n^2-75*n^3)*p9+50*(3226214880-802790000*n+62258164*n^2-1793452*n^3+16868*
n^4-60*n^5)*p1^3+100*(41104627200-87361355413/4*n+92202370033/24*n^2-7038528757
/24*n^3+126303149/12*n^4-4231849/24*n^5+31285/24*n^6-25/6*n^7)*p3+300/7*(
1818391575-227950618*n+8863596*n^2-120386*n^3+420*n^4)*p7+60*(18046528500-\
18106299375/4*n+27152185445/72*n^2-315092615/24*n^3+6941935/36*n^4-25375/24*n^5
+125/72*n^6)*p5+50/27*(858600-12960*n)*p3^3+15/2*(7240-120*n)*p5*p4*p2+25/2*(
1024440-33000*n+288*n^2)*p4*p3*p2+75/2*(42507456-2407752*n+36864*n^2-184*n^3)*
p4*p2*p1+25*(-2422680+58920*n-288*n^2)*p3*p2*p1^2+75/8*(-27840+576*n)*p4*p2^2*
p1+25*(386400-6048*n)*p6*p2*p1+20*(473700-5520*n)*p5*p3*p1+15*(-13480+120*n)*p5
*p2*p1^2+25/2*(-18480+192*n)*p4*p3*p1^2+75/7*(-102480+2016*n)*p7*p4+10*(-83160+
840*n)*p6*p5+50/3*(-37440+540*n)*p9*p2+25/2*(-50220+432*n)*p8*p3+30*(-442587420
+118103135/3*n-1038975*n^2+27925/3*n^3-25*n^4)*p5*p2+30*(24443220-3531850/3*n+
9220*n^2-50/3*n^3)*p5*p1^2+25*(-531128280+47083526*n-1213472*n^2+10282*n^3-40*n
^4)*p4*p3+15/2*(736400-20820*n+180*n^2)*p5*p2^2+75/8*(750720-21728*n+96*n^2)*p4
^2*p1+75/2*(-4151520+128088*n-216*n^2)*p8*p1+150/7*(-8163120+330120*n-3024*n^2)
*p7*p2+150/7*(213360-2016*n)*p7*p1^2+50/3*(-10465560+385560*n-2016*n^2)*p6*p3+
25/8*(12720-192*n)*p4^2*p3+25/2*(66918000-3963180*n+68220*n^2-432*n^3)*p3*p2^2+
25/4*(-3487680+118800*n-1296*n^2)*p2^3*p1+25/4*(100800-1728*n)*p2^2*p1^3+50*(-\
6457328340+1164735655*n-67552501*n^2+1559693*n^3-14723*n^4+60*n^5)*p3*p2+50*(
687860820-80387714*n+2555492*n^2-19882*n^3+40*n^4)*p3*p1^2+75/2*(952233600-\
116823352*n+4317696*n^2-59224*n^3+336*n^4)*p2^2*p1+50*(-250750584+20634208*n-\
434112*n^2+1568*n^3)*p6*p1-1350*p8*p5-3000*p9*p4-514800*p10*p1+31500*p13+600*p5
*p1^4+3600*p4*p2*p1^3-3600*p2*p1^5-67200*p6*p1^3
[6, 5, 4, 2]
-480*p5*p3*p1^3+20*(-18310824+516684*n-2520*n^2)*p6*p2*p1+16*(-27409330+1956515
/2*n-9630*n^2+25/2*n^3)*p5*p3*p1+28800*p4^2*p2*p1+12*(1157040-24100*n+120*n^2)*
p5*p2*p1^2+10*(-31313376+880008*n-6048*n^2)*p4*p3*p2+10*(1817952-47328*n+336*n^
2)*p4*p3*p1^2+15/2*(1285536-22464*n)*p4*p2^2*p1+5*(-45792+576*n)*p4*p2*p1^3+20/
3*(2080440-57708*n+432*n^2)*p3^2*p2*p1+5*(-57312+864*n)*p3*p2^2*p1^2+240*p5*p4*
p3*p1+20*(127082832-6533484*n+100608*n^2-564*n^3)*p3*p2*p1^2+30*(-1350332168+
91202104*n-1730112*n^2+9856*n^3)*p4*p2*p1+6*(-133000+1080*n)*p5*p4*p2+15*(-\
61920+432*n)*p8*p2*p1+80/7*(-143556+2184*n)*p7*p3*p1+10*(-152712+1680*n)*p6*p4*
p1+20/3*(-84168+756*n)*p6*p3*p2+120/7*(220830568-8330784*n+48384*n^2)*p7*p2+120
/7*(-13709416+440384*n-2688*n^2)*p7*p1^2+40/3*(315323400-13672911*n+129276*n^2-\
105*n^3)*p6*p3+20/3*(800184-13104*n)*p6*p1^3+6*(6600-80*n)*p5*p4*p1^2+10/3*(
17352-288*n)*p4*p3^2*p1+24*(11024703460-2990719445/3*n+24866600*n^2-473455/3*n^
3+180*n^4)*p5*p2+24*(-951018100+69205915*n-4435330/3*n^2+10285*n^3-50/3*n^4)*p5
*p1^2+20*(13540069280-1270444150*n+34816856*n^2-301562*n^3+736*n^4)*p4*p3+10*(
95578664-4964928*n+69072*n^2-288*n^3)*p4*p1^3+40/3*(-1601132484+115706913*n-\
2596440*n^2+22983*n^3-60*n^4)*p3^2*p1+10*(-1758357504+105067380*n-1582416*n^2+
7884*n^3)*p3*p2^2+10/3*(-6866592+241728*n-2016*n^2)*p3*p1^4+5*(127208160-\
5128272*n+49248*n^2)*p2^3*p1+5*(-7142688+227808*n-1728*n^2)*p2^2*p1^3+(246720-\
5760*n)*p2*p1^5+60*(102909434960-295237930762/15*n+1236373208*n^2-94711462/3*n^
3+320608*n^4-5256/5*n^5)*p4*p1+40*(148679507440-27759066566*n+1653739204*n^2-\
37703950*n^3+300476*n^4-864*n^5)*p3*p2+40*(-19609282960+2797937742*n-130923256*
n^2+2525176*n^3-21152*n^4+70*n^5)*p3*p1^2+30*(-24600617680+3326863260*n-\
140162808*n^2+2196460*n^3-12168*n^4)*p2^2*p1+20*(2605084864-271838832*n+8972856
*n^2-114732*n^3+552*n^4)*p2*p1^3+120*(341138231424-394514165341/3*n+
252287687998/15*n^2-2775855875/3*n^3+69430382/3*n^4-251212*n^5+15952/15*n^6)*p2
*p1+20/9*(-77976+864*n)*p3^2*p1^3+5/3*(738720-11664*n)*p3*p2^3+40*(7264698756-\
708494241*n+20846350*n^2-201579*n^3+350*n^4)*p6*p1+6*(-20207120+389880*n-1440*n
^2)*p5*p2^2+2*(-29200+480*n)*p5*p1^4+15/2*(-28976224+982720*n-7680*n^2)*p4^2*p1
+12*(346566080-44448910/3*n+133240*n^2-410/3*n^3)*p5*p4+30*(159532656-7455108*n
+81648*n^2-60*n^3)*p8*p1+40/3*(-53460+360*n)*p9*p1^2+4320*p8*p1^3+10*(2216160-\
36720*n)*p8*p3+24*(1139380-19800*n)*p10*p1+40/3*(1095300-8100*n)*p9*p2+2880*p3*
p2*p1^4+24/5*(-174500+2700*n)*p5^2*p1+5/2*(-309600+4800*n)*p4^2*p3+8/3*(-251640
+3960*n)*p5*p3^2+8*(2583840-34020*n)*p6*p5-1680*p6*p4*p3-1920*p7*p5*p1-2400*p9*
p3*p1-2160*p8*p4*p1+60/7*(2554160-36960*n)*p7*p4+34560*p8*p5-1200*p5*p4^2+80*(-\
859927985280+467329359526*n-253193066225/3*n^2+39646622047/6*n^3-719608778/3*n^
4+11535251/3*n^5-66557/3*n^6+295/6*n^7)*p3+240/11*(-15375360+360360*n)*p11+40/
27*(-43336620+1500120*n-12960*n^2)*p3^3-1440*p4*p3*p2*p1^2+240/7*(-43931247360+
5719783300*n-228764928*n^2+3036236*n^3-6048*n^4)*p7-1440*p5^2*p3+48*(-\
402346744800+104124769431*n-80511779320/9*n^2+948779045/3*n^3-39564280/9*n^4+
47062/3*n^5-100/9*n^6)*p5+2*(-223037680+17079680*n-383520*n^2+2880*n^3)*p1^5+40
*(-77634025344+108652825167/5*n-2054877920*n^2+85289251*n^3-1669864*n^4+77158/5
*n^5-60*n^6)*p1^3+43680*p12*p1+38400*p9*p4+8*(7860-90*n)*p5*p3*p2*p1+31680*p10*
p3+13440*p7*p6-51840*p7*p2^2+6480*p4*p3*p2^2+11520*p7*p2*p1^2+30240*p6*p3*p1^2-\
806400*p13+80/3*(-1452971520+90529575*n-1341540*n^2+1065*n^3)*p9+240*(-\
174356582400+1282942576784/5*n-5016175666651/45*n^2+1796307055717/90*n^3-\
15182388701/9*n^4+3183914759/45*n^5-65308129/45*n^6+1213933/90*n^7-157/3*n^8)*
p1
[6, 5, 3, 3]
-116640*p4*p2*p1^3+135/2*(-582550704+40432740*n-919270*n^2+8800*n^3-30*n^4)*p4*
p2*p1+45*(38763792-1451496*n+14604*n^2-48*n^3)*p3*p2*p1^2+3240*p2^3*p1^3+135/8*
(1292384-33440*n+192*n^2)*p4*p2^2*p1+15*(632160-5760*n)*p3^2*p2*p1+45/4*(-31152
+192*n)*p3*p2^2*p1^2+45/2*(-21998052+794784*n-9132*n^2+48*n^3)*p4*p3*p2+45/2*(
176448-768*n)*p4*p3*p1^2-1215000*p8*p2*p1+15/4*(3142440-104184*n+864*n^2)*p3*p2
^3+45*(-8645616+247044*n-1428*n^2)*p6*p2*p1+36*(-6419760+69060*n-300*n^2)*p5*p3
*p1+45/32*(-167040+3456*n)*p2^4*p1+27*(331120-3320*n+20*n^2)*p5*p2*p1^2+90*(
2826043248-250325376*n+6529026*n^2-62580*n^3+210*n^4)*p6*p1+54*(5518958400-\
1150381915/2*n+248279065/12*n^2-4155775/12*n^3+33455/12*n^4-95/12*n^5)*p5*p2+54
*(-274298040+13722340*n-295755/2*n^2+780*n^3-5/2*n^4)*p5*p1^2+45*(6156238680-\
588981527*n+35739463/2*n^2-236476*n^3+3395/2*n^4-6*n^5)*p4*p3+27/2*(-185660+
3440*n-20*n^2)*p5*p4*p2+45/8*(13872-192*n)*p4*p3*p2^2+15*(-113148+1008*n)*p6*p3
*p2+45/2*(17292864-421440*n+3168*n^2)*p4*p1^3+30*(-549132480+29024280*n-325800*
n^2+1440*n^3)*p3^2*p1+45/2*(-1091549664+89853572*n-2618306*n^2+34438*n^3-184*n^
4)*p3*p2^2+15/2*(-522288+1728*n)*p3*p1^4+45/4*(94059552-5962464*n+126936*n^2-\
984*n^3)*p2^3*p1+45/4*(-2505792+73824*n-576*n^2)*p2^2*p1^3+135*(43248937760-\
24302525276/3*n+1497930988/3*n^2-39568369/3*n^3+510479/3*n^4-1117*n^5+3*n^6)*p4
*p1+90*(67786197600-26822505429/2*n+3662552301/4*n^2-116452423/4*n^3+1987991/4*
n^4-18527/4*n^5+19*n^6)*p3*p2+90*(-7196319360+891681660*n-65085045/2*n^2+421374
*n^3-5115/2*n^4+6*n^5)*p3*p1^2+135/2*(-10889768000+4704768668/3*n-237030862/3*n
^2+5711926/3*n^3-71306/3*n^4+130*n^5)*p2^2*p1+45*(819823872-70015344*n+1807038*
n^2-20232*n^3+90*n^4)*p2*p1^3+270*(148903222912-173238265252/3*n+22639760176/3*
n^2-2668786909/6*n^3+54143123/4*n^4-937703/4*n^5+27911/12*n^6-43/4*n^7)*p2*p1+
71280*p2*p1^5+135/7*(1287440-21952*n+112*n^2)*p7*p4+30*(1267920-27900*n+90*n^2)
*p9*p2+45/2*(787320-4320*n)*p8*p3-75600*p9*p1^2+12972960*p10*p1+907200*p6*p1^3-\
3240*p5*p1^4+84240*p11*p2+135/14*(-189616+3360*n)*p7*p2^2+18*(1229760-16485*n+
105*n^2)*p6*p5+27*(165516120-22127035/3*n+208345/2*n^2-2390/3*n^3+5/2*n^4)*p5*
p4+27/2*(-24862600+3328180/3*n-15790*n^2+230/3*n^3)*p5*p2^2+135/8*(-8658880+
206560*n-1440*n^2)*p4^2*p1+135/2*(52191360-1732320*n+10080*n^2)*p8*p1+270/7*(
140842408-22457960/3*n+127932*n^2-2296/3*n^3)*p7*p2+270/7*(-2421104+19936*n-112
*n^2)*p7*p1^2+30*(140344848-5506011*n+54243*n^2-252*n^3)*p6*p3+9/4*(21720-360*n
)*p5*p2^3-108000*p5*p3^2+45/8*(-98160+960*n)*p4^2*p3-181440*p5^2*p1+52920*p6*p2
^2*p1-540*p5*p2^2*p1^2+40500*p4^2*p2*p1+270*p5*p4*p2^2-3780*p6*p5*p2-4320*p7*p4
*p2-1620*p4*p2^3*p1+24300*p8*p5-2700*p9*p2^2+4320*p5*p4*p1^2+30240*p7*p6+540/11
*(-7447440+181038*n-858*n^2)*p11+540/7*(-19925745840+2695795200*n-728486983/6*n
^2+7189091/3*n^3-137837/6*n^4+259/3*n^5)*p7+21600*p5*p3*p2*p1+10/3*(-13251600+
129600*n)*p3^3-650160*p6*p4*p1+9/2*(-35447040+1260000*n-10080*n^2)*p1^5+108*(-\
179281502400+95385099345/2*n-52387688945/12*n^2+2176525255/12*n^3-185759975/48*
n^4+2171155/48*n^5-12725/48*n^6+25/48*n^7)*p5+180*(-381294251520+420655476227/2
*n-39252368554*n^2+13224518211/4*n^3-2273991655/16*n^4+54089099/16*n^5-750821/
16*n^6+5841/16*n^7-5/4*n^8)*p3+90*(-31147070592+8100631080*n-675073206*n^2+
22913667*n^3-343377*n^4+2661*n^5-9*n^6)*p1^3+60*(-679638960+44099520*n-3451275/
4*n^2+6510*n^3-45/4*n^4)*p9+43200*p9*p4-172800*p7*p3*p1-1350*p5*p4^2+8640*p7*p2
*p1^2+540*(-77491814400+114402497972*n-150422134439/3*n^2+27481667038/3*n^3-\
810687927*n^4+909779117/24*n^5-4005377/4*n^6+94685/6*n^7-1741/12*n^8+5/8*n^9)*
p1-907200*p13
[6, 5, 3, 2, 2]
-3600*p9*p2*p1^2-2880*p7*p4*p1^2-5040*p6*p4*p2*p1-2520*p6*p5*p1^2-1965600*p12*
p1-4320*p5^2*p2*p1+64800*p8*p4*p1+10800*p9*p2^2+28800*p9*p3*p1+95040*p10*p2*p1+
56160*p11*p1^2-954720*p11*p2+10800*p5*p4^2+17280*p5^2*p3-1080*p5*p4*p2^2-380160
*p10*p3+20160*p6*p4*p3+57960*p6*p5*p2+35280*p6^2*p1-2880*p5*p4*p3*p1+34560*p7*
p4*p2+86400*p7*p5*p1-842400*p8*p1^3-583200*p9*p4-745200*p8*p5+45*(1499040-20160
*n)*p8*p2*p1+30*(1799196-23268*n+84*n^2)*p6*p4*p1+20*(1382850-13608*n)*p6*p3*p2
+20*(-87822+504*n)*p6*p3*p1^2+15*(-137928+1008*n)*p6*p2^2*p1+18*(1825890-25490*
n+50*n^2)*p5*p4*p2+18*(-131110+1690*n-10*n^2)*p5*p4*p1^2+9*(11860-120*n)*p5*p2^
2*p1^2+30*(298357806-8732454*n+70854*n^2-120*n^3)*p4*p3*p2+30*(-22759482+589086
*n-5214*n^2+24*n^3)*p4*p3*p1^2+45/2*(-28353088+803808*n-5568*n^2)*p4*p2^2*p1+20
*(-26561880+664416*n-4608*n^2)*p3^2*p2*p1+15*(2257260-49848*n+288*n^2)*p3*p2^2*
p1^2+5*(-86544+576*n)*p3*p2*p1^4+90*(11761156524-2758286476/3*n+23087404*n^2-\
721304/3*n^3+920*n^4)*p4*p2*p1+60*(-1407197304+87639418*n-1790608*n^2+16142*n^3
-56*n^4)*p3*p2*p1^2+60*(228233796-8643152*n+90300*n^2-196*n^3)*p6*p2*p1+48*(
257302800-8984110*n+92970*n^2-380*n^3)*p5*p3*p1+36*(-22697900+2112170/3*n-7120*
n^2+70/3*n^3)*p5*p2*p1^2+45/4*(-161920+1920*n)*p4^2*p2*p1+10*(-90144+1152*n)*p4
*p3^2*p1+15/2*(-72720+576*n)*p4*p3*p2^2+240/7*(1442952-15456*n)*p7*p3*p1+180/7*
(-121240+1344*n)*p7*p2*p1^2+65520*p6*p2*p1^3+15*(1793160-39576*n+216*n^2)*p4*p2
*p1^3-705600*p7*p6+90/7*(1478400-14112*n)*p7*p2^2+8*(1216080-15840*n)*p5*p3^2+
72/5*(1976400-31350*n+150*n^2)*p5^2*p1+24*(-21165480+308595*n-1155*n^2)*p6*p5+
60*(-94845603240+9084077525*n-260268384*n^2+2730130*n^3-12483*n^4+12*n^5)*p4*p3
+40*(12795618528-965838558*n+22837926*n^2-227112*n^3+960*n^4)*p3^2*p1+5*(-\
26892540+562680*n-2592*n^2)*p3*p2^3+3*(-117540+1080*n)*p5*p2^3+15/2*(1422240-\
17280*n)*p4^2*p3+60*(-22491012672+2760891175*n-233987443/2*n^2+2270102*n^3-\
45581/2*n^4+99*n^5)*p2*p1^3+15*(140756616-7303320*n+125928*n^2-768*n^3)*p2^2*p1
^3+20160*p5*p3*p1^3+360*p5*p4*p2*p1^2-720*p5*p2*p1^4+21600*p4^2*p1^3-2160*p4*p2
^2*p1^3+25920*p4*p2^3*p1-60480*p4*p1^5+4320*p2^2*p1^5+72*(-12803340+248820*n-\
660*n^2)*p10*p1+180/7*(-19463640+255976*n-616*n^2)*p7*p4+40*(1054080-13005*n+45
*n^2)*p9*p1^2+30*(-15931080+185760*n)*p8*p3+120*(-54731878908+11485593175/2*n-\
775974647/4*n^2+2658579*n^3-60361/4*n^4+35/2*n^5)*p6*p1+24*(-131880+1680*n)*p5*
p3*p2*p1+15*(-1667392824+102743568*n-2031408*n^2+13536*n^3)*p2^3*p1+80*(
10696205520-681864615*n+23290155/2*n^2-50085*n^3+45/2*n^4)*p9+10*(104030352-\
4360356*n+44244*n^2-144*n^3)*p3*p1^4+15*(8664-96*n)*p4*p3*p2*p1^2+360*(-\
2075754536832+4994000620865/6*n-1353975157553/12*n^2+20549879890/3*n^3-\
2489622737/12*n^4+19988321/6*n^5-174559/6*n^6+111*n^7)*p2*p1+240*(5075902540800
-5648660444805/2*n+4215318040011/8*n^2-693123158779/16*n^3+27543885453/16*n^4-\
542494799/16*n^5+5254325/16*n^6-12231/8*n^7+5/2*n^8)*p3+720/11*(122522400-\
2889744*n+6864*n^2)*p11+720*(988020633600-4422432475492/3*n+3932258804629/6*n^2
-1457968228855/12*n^3+43415765237/4*n^4-6037319423/12*n^5+151375469/12*n^6-\
1060255/6*n^7+8389/6*n^8-5*n^9)*p1+20563200*p13+34560*p1^7+40*(-15023880+231345
*n-225*n^2)*p9*p2+30*(-1069918236+66745344*n-1286724*n^2+10728*n^3-36*n^4)*p4*
p1^3+30*(14929653840-1059106350*n+22788318*n^2-187728*n^3+480*n^4)*p3*p2^2+90*(
178481631360-80759847040/3*n+1377928572*n^2-94547864/3*n^3+353972*n^4-1640*n^5)
*p2^2*p1+20*(-14877828+368928*n-2016*n^2)*p6*p1^3+36*(-2632065240+111139515*n-\
1197540*n^2+5630*n^3-5*n^4)*p5*p4+18*(278522520-9068370*n+80570*n^2-200*n^3)*p5
*p2^2+45/2*(276528480-9743680*n+102400*n^2-480*n^3)*p4^2*p1+6*(976560-10140*n+
60*n^2)*p5*p1^4+90*(-1428515280+73172640*n-1050480*n^2+4560*n^3)*p8*p1+360/7*(-\
1968254820+88326210*n-1009274*n^2+2744*n^3)*p7*p2+5/2*(-178416+2592*n)*p2^3*p1^
3+360/7*(163248372-19021534/3*n+68362*n^2-896/3*n^3)*p7*p1^2+40*(-2359890288+
98143437*n-980217*n^2+2940*n^3)*p6*p3+72*(-80717496960+94758406315/12*n-\
5694418055/24*n^2+5400295/2*n^3-298705/24*n^4+215/12*n^5)*p5*p2+72*(8443145880-\
8336530345/12*n+442026085/24*n^2-1248365/6*n^3+28115/24*n^4-25/12*n^5)*p5*p1^2+
40/9*(292883040-7322400*n+51840*n^2)*p3^3+120*(502019618688-300702790655/2*n+
62697592293/4*n^2-3024548765/4*n^3+18919856*n^4-1053063/4*n^5+8347/4*n^6-15/2*n
^7)*p1^3+6*(2420724960-228560760*n+6824160*n^2-78480*n^3+360*n^4)*p1^5+720/7*(
296912616000-119942755121/3*n+10240553785/6*n^2-27949572*n^3+993335/6*n^4-763/3
*n^5)*p7+15/8*(2522880-41472*n)*p2^4*p1+20/3*(1309392-12096*n)*p3^2*p1^3+144*(
2520530812800-1346674084215/2*n+1452783777695/24*n^2-112056661775/48*n^3+
1954844005/48*n^4-14995415/48*n^5+47005/48*n^6-25/24*n^7)*p5+180*(-683384057520
+413976300922/3*n-28244100505/3*n^2+281010401*n^3-12062861/3*n^4+85223/3*n^5-74
*n^6)*p4*p1+120*(142683566400-88642339953/4*n+9390250601/8*n^2-27756245*n^3+
2647503/8*n^4-8299/4*n^5+5*n^6)*p3*p1^2+120*(-969441092640+758655108819/4*n-\
97696761995/8*n^2+329999434*n^3-32149757/8*n^4+91253/4*n^5-43*n^6)*p3*p2+3*(-\
8469600+269040*n-2160*n^2)*p2*p1^5+5760*p7*p1^4
[6, 5, 2, 2, 2, 2]
1440*(-19292255560+1597412634*n-40036394*n^2+350914*n^3-1026*n^4)*p4*p2*p1+960*
(3039219220-428771679/2*n+4558296*n^2-67057/2*n^3+66*n^4)*p3*p2*p1^2+253440*p10
*p1^3-4800*p9*p1^4+9244800*p9*p4+160*(109680-960*n)*p4*p3^2*p1+120*(70956-432*n
)*p4*p3*p2^2+3840/7*(-3265080+30240*n)*p7*p3*p1+2880/7*(389340-3024*n)*p7*p2*p1
^2+480*(-4205880+58716*n-84*n^2)*p6*p4*p1+320*(-1794324+16128*n)*p6*p3*p2+320*(
440748-4536*n)*p6*p3*p1^2+240*(237888-1512*n)*p6*p2^2*p1+160*(-44184+252*n)*p6*
p2*p1^3+288*(-2225800+28860*n-30*n^2)*p5*p4*p2+288*(584060-9230*n+10*n^2)*p5*p4
*p1^2+80*(821832-15090*n+72*n^2)*p3*p2*p1^4+240*(-5815356+105948*n-432*n^2)*p3*
p2^2*p1^2+768*(-509447280+56080255/3*n-162850*n^2+1115/3*n^3)*p5*p3*p1+576*(
63472450-4234345/2*n+16910*n^2-55/2*n^3)*p5*p2*p1^2+480*(-404690536+10251876*n-\
71298*n^2+72*n^3)*p4*p3*p2+480*(70804484-2279458*n+18750*n^2-24*n^3)*p4*p3*p1^2
+360*(51393456-1263096*n+7704*n^2)*p4*p2^2*p1+17107200*p8*p5+240*(-8128048+
220560*n-1440*n^2)*p4*p2*p1^3+320*(50303460-1052400*n+5760*n^2)*p3^2*p2*p1+48*(
4360-30*n)*p5*p2*p1^4+180*(248160-2880*n)*p4^2*p2*p1+2880*(913243089200-\
580302722890/3*n+41745387445/3*n^2-432687386*n^3+18025898/3*n^4-102188/3*n^5+71
*n^6)*p4*p1+1920*(1225194109800-724639058848/3*n+61479944881/4*n^2-1177261490/3
*n^3+16435683/4*n^4-18939*n^5+24*n^6)*p3*p2+1920*(-218183149920+112495820626/3*
n-26778853037/12*n^2+699587057/12*n^3-8255899/12*n^4+13465/4*n^5-5*n^6)*p3*p1^2
+1440*(-252034671440+40031674586*n-2130846529*n^2+47835807*n^3-464451*n^4+1803*
n^5)*p2^2*p1+960*(41820797520-18065571712/3*n+303781164*n^2-20251184/3*n^3+
67198*n^4-258*n^5)*p2*p1^3+5760*(2517959707200-3121062298181/3*n+438140881723/3
*n^2-36779533285/4*n^3+569911745/2*n^4-13282732/3*n^5+199975/6*n^6-431/4*n^7)*
p2*p1+1920*(83961802680-9444553363*n+677795055/2*n^2-9079847/2*n^3+36561/2*n^4-\
35/2*n^5)*p6*p1-8640*p5*p4*p2*p1^2+38400*p5*p4*p3*p1+1152*(108003166350-\
31423292495/3*n+1195634835/4*n^2-8765335/3*n^3+41605/4*n^4-10*n^5)*p5*p2+1152*(
-16404338850+1568873475*n-580141255/12*n^2+6727115/12*n^3-24305/12*n^4+25/12*n^
5)*p5*p1^2+960*(127219892640-72649593823/6*n+659058423/2*n^2-17405423/6*n^3+
20551/2*n^4-6*n^5)*p4*p3+480*(2877888936-703154768/3*n+6103624*n^2-176860/3*n^3
+172*n^4)*p4*p1^3+960*(-434231280+16612113*n-145824*n^2+231*n^3)*p6*p2*p1+640*(
-21154369740+1709898400*n-40877470*n^2+329630*n^3-920*n^4)*p3^2*p1+40*(4044-48*
n)*p4*p3*p1^4+480*(-20193036632+2746499181/2*n-26142021*n^2+358137/2*n^3-306*n^
4)*p3*p2^2+160*(-438276912+59559301/2*n-623867*n^2+9269/2*n^3-10*n^4)*p3*p1^4+
240*(2814099264-171120114*n+2975184*n^2-17118*n^3)*p2^3*p1+144*(-26340+180*n)*
p5*p2^2*p1^2+240*(-412209824+24883920*n-441720*n^2+2520*n^3)*p2^2*p1^3+48*(
55874560-3081330*n+48120*n^2-230*n^3)*p2*p1^5+128*(-52380+660*n)*p5*p3*p1^3+720
*(-3004320+31680*n)*p8*p2*p1+120960*p6*p4*p2*p1+80640*p6*p1^5+1152/5*(-4671900+
76950*n-150*n^2)*p5^2*p1+1152*(28435000-606540*n+660*n^2)*p10*p1+640*(20791350-\
273105*n+135*n^2)*p9*p2+640*(-4211010+77985*n-45*n^2)*p9*p1^2+480*(22179960-\
205920*n)*p8*p3+240*(554400-7920*n)*p8*p1^3+2880/7*(27611220-335664*n+504*n^2)*
p7*p4+1440/7*(-1884708+13608*n)*p7*p2^2+384*(31336200-468510*n+1050*n^2)*p6*p5-\
11520*p5^2*p1^3+480/7*(-60900+504*n)*p7*p1^4-13440*p6*p4*p1^3+24*(1039760-24520
*n+120*n^2)*p4*p1^5+320/3*(-8238780+209880*n-1440*n^2)*p3^2*p1^3+80*(34020000-\
578502*n+1944*n^2)*p3*p2^3+16/3*(-82260+720*n)*p3*p1^6+30*(-3991680+54432*n)*p2
^4*p1+40*(597456-7776*n)*p2^3*p1^3+12*(-70080+720*n)*p2^2*p1^5+96*(-9132690+
1826225/6*n-2455*n^2+25/6*n^3)*p5*p1^4+360*(-548604320+20546000*n-192400*n^2+
480*n^3)*p4^2*p1+1440*(2614587360-145923580*n+2117280*n^2-5060*n^3)*p8*p1+5760/
7*(2739844464-117277272*n+1151514*n^2-2142*n^3)*p7*p2+5760/7*(-434787024+
21122556*n-263802*n^2+462*n^3)*p7*p1^2+640*(3315635064-132528424*n+1136982*n^2-\
2618*n^3)*p6*p3+320*(66657024-2741431*n+27930*n^2-35*n^3)*p6*p1^3+576*(
3718361010-914235185/6*n+2904725/2*n^2-28405/6*n^3+5/2*n^4)*p5*p4+288*(-\
378574490+21978675/2*n-81165*n^2+255/2*n^3)*p5*p2^2+5760*p2*p1^7+128*(-1305600+
13200*n)*p5*p3^2+48*(127440-810*n)*p5*p2^3+120*(-1323080+12960*n)*p4^2*p3+60*(-\
63680+960*n)*p4^2*p1^3-268800*p6*p4*p3-1209600*p6*p5*p2+403200*p6*p5*p1^2+86400
*p9*p2*p1^2-1900800*p8*p4*p1-3870720*p7*p5*p1-622080*p7*p4*p2+207360*p7*p4*p1^2
-2280960*p10*p2*p1-384000*p9*p3*p1+240*(-17412+144*n)*p4*p3*p2*p1^2+384*(220540
-2280*n)*p5*p3*p2*p1-960*p5*p1^6+103680*p4*p2^2*p1^3+480*p5*p4*p1^4-2880*p4*p2*
p1^5+12960*p5*p4*p2^2+103680*p5^2*p2*p1+18869760*p11*p2+21288960*p7*p6+83865600
*p12*p1-544320*p4*p2^3*p1+11520*(-1111523212800+1675821832660*n-6808094600495/9
*n^2+5141576627371/36*n^3-937112765899/72*n^4+44220350651/72*n^5-556154423/36*n
^6+3723701/18*n^7-34309/24*n^8+35/8*n^9)*p1+11520/7*(-387991684080+52419995712*
n-4388715933/2*n^2+33200412*n^3-299691/2*n^4+168*n^5)*p7+16/7*(-6639360+288120*
n-2520*n^2)*p1^7+2304*(-3106233830700+1677175937545/2*n-5429789827565/72*n^2+
45447473605/16*n^3-3295389125/72*n^4+857195/3*n^5-25435/36*n^6+25/48*n^7)*p5+96
*(-6710913360+2630073010/3*n-121851335/3*n^2+2487395/3*n^3-22345/3*n^4+25*n^5)*
p1^5+3840*(-5938739810640+6688329510483/2*n-15107110391755/24*n^2+2481155817353
/48*n^3-48120400129/24*n^4+219888019/6*n^5-3584003/12*n^6+54263/48*n^7-5/4*n^8)
*p3+11520/11*(-177657480+4090086*n-6006*n^2)*p11+1920*(-668618251488+
217353418429*n-50496638873/2*n^2+2779014461/2*n^3-79627681/2*n^4+1207835/2*n^5-\
4635*n^6+15*n^7)*p1^3+640/9*(-395112600+7894800*n-43200*n^2)*p3^3-2257920*p6^2*
p1-230400*p5^2*p3-100800*p5*p4^2-6289920*p11*p1^2+5068800*p10*p3-129600*p9*p2^2
-493516800*p13+1280*(-14803768980+933868260*n-59977935/4*n^2+44235*n^3-45/4*n^4
)*p9
[6, 4, 4, 3]
76032*p10*p3+44928*p11*p2+288*p5*p3^2*p2-5184*p8*p3*p2-2304*p7*p3^2-3456*p5^2*
p3+57024*p8*p5-2016*p6*p5*p2+16128*p7*p6+5184*p5*p2^3+12096*p6*p2^2*p1+96768*p6
*p1^3-120960*p6*p4*p1-663552*p7*p2^2+51840*p4*p3*p2^2+17280*p4*p3^2*p1-518400*
p4^2*p3+72/5*(-90600+600*n)*p5*p4*p2+192/7*(-34104+336*n)*p7*p3*p1+36*(-24048+
288*n)*p8*p2*p1+18*(552960-8640*n)*p4*p2^2*p1+48*(36986226-1966164*n+39588*n^2-\
312*n^3)*p3*p2*p1^2+12*(-27360+576*n)*p3*p2^2*p1^2+48*(-6687744+200130*n-1722*n
^2)*p6*p2*p1+192/5*(-9194280+704385/2*n-8595/2*n^2+15*n^3)*p5*p3*p1+144/5*(
253230-6520*n+40*n^2)*p5*p2*p1^2+24*(-19121808+669360*n-6120*n^2)*p4*p3*p2+24*(
188640-2880*n)*p4*p3*p1^2+16*(1149588-42354*n+450*n^2)*p3^2*p2*p1+16*(-148806+
2520*n)*p6*p3*p2+72*(-502242312+32973152*n-619160*n^2+4200*n^3)*p4*p2*p1+288/5*
(244200-2640*n)*p10*p1+24*(1377000-32508*n+108*n^2)*p8*p3+144/7*(930720-3360*n)
*p7*p4+96/5*(1329300-44205/2*n+105/2*n^2)*p6*p5+32*(-605843532+46573119*n-\
1309608*n^2+17496*n^3-99*n^4)*p3^2*p1+12*(59677776-2804112*n+31536*n^2)*p2^3*p1
+72*(-9795303792+1351839316*n-60208100*n^2+1071448*n^3-7320*n^4)*p2^2*p1+48*(
755451576-68397450*n+2090394*n^2-31872*n^3+216*n^4)*p2*p1^3+144/5*(152336940-\
6448650*n+56400*n^2-150*n^3)*p5*p4+72*(51360480-2157156*n+23868*n^2-72*n^3)*p8*
p1+16/9*(31266-648*n)*p3^3*p2-1728*p3^2*p2^2*p1-31104*p2^4*p1+288/25*(-42900+
600*n)*p5^2*p1+32/5*(-254520+11745/2*n-45/2*n^2)*p5*p3^2+32*(846450-11880*n)*p9
*p2+96/5*(5010-60*n)*p5*p3*p2*p1+288/7*(113288112-5036808*n+45528*n^2)*p7*p2+
288/7*(-2212392+44576*n-224*n^2)*p7*p1^2+32*(153346284-15929991/2*n+250551/2*n^
2-630*n^3)*p6*p3+48*(5904090180-595462812*n+19033002*n^2-240690*n^3+1260*n^4)*
p4*p3+288/5*(-268530360+33507355/2*n-673755/2*n^2+3080*n^3-10*n^4)*p5*p1^2+96*(
2713970280-258354726*n+7663677*n^2-88830*n^3+399*n^4)*p6*p1+288/5*(4898101650-\
2892191785/6*n+28278925/2*n^2-389485/3*n^3+160*n^4)*p5*p2+4*(1667952-36288*n)*
p3*p2^3+72/5*(-15166620+430140*n-1140*n^2)*p5*p2^2+18*(-6393600+86400*n)*p4^2*
p1+144*(40979880720-7835036154*n+496623862*n^2-13250208*n^3+156440*n^4-780*n^5)
*p4*p1+96*(62807104152-123060024817/10*n+1609508627/2*n^2-22176995*n^3+263498*n
^4-6024/5*n^5)*p3*p2+96*(-7017690528+1903918485/2*n-87163989/2*n^2+940890*n^3-\
11100*n^4+60*n^5)*p3*p1^2+64*(-642161520+85288005/2*n-1510245/2*n^2+2970*n^3)*
p9+288*(139967886720-814469470832/15*n+105819486817/15*n^2-1207231472/3*n^3+
32766157/3*n^4-702686/5*n^5+3816/5*n^6)*p2*p1+24*(14050800-383040*n+2880*n^2)*
p4*p1^3+24*(-898705956+66321516*n-1462068*n^2+10512*n^3)*p3*p2^2+12*(-1448496+
52416*n-576*n^2)*p2^2*p1^3+576*(-72648576000+321613273424/3*n-703721815924/15*n
^2+127919941142/15*n^3-3708508606/5*n^4+32849478*n^5-11234846/15*n^6+42256/5*n^
7-204/5*n^8)*p1+96*(-29826146880+7984432368*n-710544543*n^2+27954366*n^3-566319
*n^4+6564*n^5-36*n^6)*p1^3+8*(-328320+6912*n)*p3*p1^4+576/7*(-18676257600+
7647109414/3*n-111585166*n^2+5503736/3*n^3-9044*n^4)*p7+32/9*(-28491588+2955933
/2*n-51597/2*n^2+162*n^3)*p3^3+576/5*(-167972444640+89435369277/2*n-24271306225
/6*n^2+472925870/3*n^3-8066455/3*n^4+49762/3*n^5-10*n^6)*p5+192*(-357566227200+
196934616348*n-182714779209/5*n^2+15061337764/5*n^3-120664555*n^4+2359738*n^5-\
104146/5*n^6+336/5*n^7)*p3+24/5*(-28555200+1048320*n-11520*n^2)*p1^5+576/11*(-\
7207200+180609*n-429*n^2)*p11-967680*p13-13824*p3^2*p1^3
[6, 4, 4, 2, 2]
-290304*p6*p2^2*p1-1161216*p7*p2*p1^2-20736*p5*p2^3-414720*p4*p3*p2^2-806400*p4
^2*p2*p1+4478976*p7*p2^2+192/5*(495700-3300*n)*p5*p4*p2+96*(397944-2160*n)*p8*
p2*p1+64/3*(-158400+2520*n)*p4*p3^2*p1+192/5*(-55900+700*n)*p5*p4*p1^2+256/15*(
5535-90*n)*p5*p3*p1^3+512/7*(1057896-19656*n)*p7*p3*p1+64*(931560-13440*n)*p6*
p4*p1+128/3*(622125-6804*n)*p6*p3*p2+128/3*(-93807+1764*n)*p6*p3*p1^2+128*(-\
638657352+42023778*n-864840*n^2+5808*n^3)*p3*p2*p1^2+192*(5282950996-406605800*
n+9073200*n^2-56560*n^3)*p4*p2*p1+32*(486720-9360*n)*p4*p2*p1^3+128/3*(-\
13607496+449460*n-3348*n^2)*p3^2*p2*p1+32*(623304-12960*n)*p3*p2^2*p1^2+32/3*(-\
37584+864*n)*p3*p2*p1^4+128*(89462352-3030972*n+16884*n^2)*p6*p2*p1+512/5*(
135504330-11451985/2*n+119175/2*n^2-55*n^3)*p5*p3*p1+384/5*(-7849400+209450*n-\
780*n^2)*p5*p2*p1^2+64*(130445832-4031340*n+29520*n^2)*p4*p3*p2+64*(-13754664+
544860*n-5640*n^2)*p4*p3*p1^2+48*(-7129920+123840*n)*p4*p2^2*p1+59904*p11*p1^2-\
1317888*p10*p3+27648*p7*p3^2-580608*p7*p6-179712*p11*p2-1152*p5*p3^2*p2+384*p5*
p3^2*p1^2+64/3*(58408974-3793320*n+86976*n^2-720*n^3)*p3*p1^4+768/7*(80827824-\
3704232*n+41832*n^2)*p7*p1^2+384/5*(-1261963290+167247550/3*n-494400*n^2+1250/3
*n^3)*p5*p4+32256*p5^2*p3+19200*p5*p4^2+768/25*(883050-10500*n)*p5^2*p1+256/15*
(1392840-41085/2*n+45/2*n^2)*p5*p3^2+16*(1359600-19200*n)*p4^2*p3-670464*p8*p5-\
844800*p9*p4+768/5*(-6271980+137280*n)*p10*p1+256/3*(-4831695+41580*n)*p9*p2+64
*(-9986220+179388*n-108*n^2)*p8*p3+37632*p6^2*p1+32*(-27864+432*n)*p8*p1^3+384/
7*(-10132080+146160*n)*p7*p4+256/3*(528165-9900*n)*p9*p1^2+128/27*(-81891+972*n
)*p3^3*p2+128/27*(17577-324*n)*p3^3*p1^2+256/5*(-10147410+252105/2*n-105/2*n^2)
*p6*p5-7680*p5*p4*p3*p1+32/3*(-5717304+101088*n)*p3*p2^3+192*(-687799440+
37589388*n-504612*n^2+264*n^3)*p8*p1+16128*p6*p2*p1^3+768/7*(-818917176+
33033672*n-220752*n^2)*p7*p2+256/3*(-1172819214+109156467/2*n-1146159/2*n^2+966
*n^3)*p6*p3+128/3*(-7591752+291690*n-2898*n^2)*p6*p1^3+192/5*(83210510-1703400*
n+4500*n^2)*p5*p2^2+384*(-322473309780+197202069578/3*n-13515807014/3*n^2+
389381188/3*n^3-4609360/3*n^4+5296*n^5)*p4*p1+192*(81924517052-12077681168*n+
573936144*n^2-10515376*n^3+63456*n^4)*p2^2*p1+64*(-540678276+39506088*n-937080*
n^2+7560*n^3)*p4*p1^3+64*(6221902794-404617872*n+6930828*n^2-38448*n^3)*p3*p2^2
+256/3*(6290030718-521650509*n+13820235*n^2-135606*n^3+372*n^4)*p3^2*p1+64/5*(
456090-14280*n+120*n^2)*p5*p1^4+48*(138547520-5541600*n+50400*n^2)*p4^2*p1+128/
9*(1340820-54918*n+594*n^2)*p3^2*p1^3+32*(-562152672+26673408*n-277344*n^2)*p2^
3*p1+256*(-26025621300+2808898512*n-94993304*n^2+1096788*n^3-1876*n^4)*p6*p1+
768/5*(-36522336795+20864151625/6*n-183987905/2*n^2+1877605/3*n^3-500*n^4)*p5*
p2+32*(48216024-2203488*n+25488*n^2)*p2^2*p1^3+768/5*(4107412425-722747595/2*n+
60516085/6*n^2-95040*n^3+250/3*n^4)*p5*p1^2+256*(68353783128-109351509281/10*n+
1203724237/2*n^2-14425466*n^3+150562*n^4-2632/5*n^5)*p3*p1^2+128*(-44797996350+
4424647332*n-128569742*n^2+1196970*n^3-3400*n^4)*p4*p3+768*(-974731720320+
5862064929386/15*n-52730772382*n^2+9377927708/3*n^3-261165676/3*n^4+5464328/5*n
^5-14960/3*n^6)*p2*p1+1536*(463134672000-690782901608*n+13805152110556/45*n^2-\
2550353446184/45*n^3+225143019028/45*n^4-2010118624/9*n^5+226359184/45*n^6-\
2407136/45*n^7+3344/15*n^8)*p1+128*(-10693971252+1347604134*n-58272762*n^2+
1064340*n^3-7296*n^4)*p2*p1^3+32/5*(-2907000+119520*n-1440*n^2)*p2*p1^5+256*(-\
451030547520+876811491993/10*n-10965347795/2*n^2+132875103*n^3-1158464*n^4+
18096/5*n^5)*p3*p2+256/5*(-57165+450*n)*p5*p3*p2*p1+55296*p7*p5*p1+1536/11*(
59219160-1441869*n+429*n^2)*p11+69120*p8*p4*p1+1536/7*(139107848880-18881124346
*n+790544202*n^2-11048912*n^3+25536*n^4)*p7+168960*p9*p3*p1+512*(2379823860960-\
1322735709352*n+3687335438797/15*n^2-298819953952/15*n^3+2259762311/3*n^4-\
38084282/3*n^5+1182418/15*n^6-2728/15*n^7)*p3-5376*p6*p3^2*p1+53760*p6*p4*p3+
6912*p5*p2^2*p1^2-2688*p6*p5*p1^2+256/27*(188479386-14691537/2*n+144261/2*n^2-\
162*n^3)*p3^3+8064*p6*p5*p2+512/3*(5044859820-658902585/2*n+10265805/2*n^2-5610
*n^3)*p9+1536/5*(1181041401540-631296497737/2*n+507037749335/18*n^2-3119584910/
3*n^3+136701475/9*n^4-175282/3*n^5+250/9*n^6)*p5-2096640*p12*p1-6912*p8*p3*p1^2
+20736*p8*p3*p2+256*(238279147200-361262438742/5*n+38368918166/5*n^2-377015888*
n^3+9343328*n^4-575528/5*n^5+2904/5*n^6)*p1^3+64/5*(1255245180-137753100*n+
5466300*n^2-98880*n^3+720*n^4)*p1^5+115200*p4*p3*p2*p1^2+27648*p3^2*p2^2*p1-\
2304*p3^2*p2*p1^3+497664*p2^4*p1-41472*p2^3*p1^3+21934080*p13
[6, 4, 3, 3, 2]
2592*p5*p3*p1^3+51840*p4*p2^3*p1+64800*p4*p3*p2*p1^2-1296000*p4^2*p2*p1+11664*
p3*p2^4-2592*p3*p2^3*p1^2+108/5*(2286100-26500*n+100*n^2)*p5*p4*p2+108/5*(-\
32900+200*n)*p5*p4*p1^2+18*(-153384+1680*n)*p6*p2^2*p1-1197504*p10*p3+6*(22536-\
288*n)*p3^2*p2^2*p1+12*(-86580+720*n)*p4*p3^2*p1+9*(-244800+2400*n)*p4*p3*p2^2-\
1179360*p12*p1+54/5*(8600-80*n)*p5*p2^2*p1^2+288/7*(1052478-16380*n+84*n^2)*p7*
p3*p1+216/7*(-54208+448*n)*p7*p2*p1^2+36*(862260-4200*n)*p6*p4*p1+24*(2521260-\
40950*n+126*n^2)*p6*p3*p2+72*(-912336480+58355622*n-1420947*n^2+17562*n^3-93*n^
4)*p3*p2*p1^2+108*(9054620580-720302420*n+19385348*n^2-233400*n^3+1080*n^4)*p4*
p2*p1+24*(-25964100+989658*n-14058*n^2+72*n^3)*p3^2*p2*p1+18*(1735776-52848*n+
480*n^2)*p3*p2^2*p1^2+9*(1638000-12000*n)*p4^2*p3+36*(326161152-12278940*n+
144780*n^2-600*n^3)*p4*p3*p2+36*(-10072800+218160*n-1560*n^2)*p4*p3*p1^2+27*(-\
24344832+758720*n-5760*n^2)*p4*p2^2*p1+27648*p7*p3^2+8/3*(-343440+5184*n)*p3^3*
p2+18*(543600-7200*n)*p4*p2*p1^3+288/5*(187126995-29131335/4*n+869985/8*n^2-\
3105/4*n^3+15/8*n^4)*p5*p3*p1+216/5*(-12906520+426270*n-4930*n^2+20*n^3)*p5*p2*
p1^2+72*(174225828-7115514*n+93198*n^2-420*n^3)*p6*p2*p1+10800*p5*p4^2+432/25*(
1332750-25050*n+150*n^2)*p5^2*p1+48/5*(2575620-44100*n+180*n^2)*p5*p3^2+18/5*(-\
228840+1440*n)*p5*p2^3-1057536*p8*p5+47520*p9*p2^2-604800*p7*p6+54*(1224720-\
20520*n+72*n^2)*p8*p2*p1+108*(-1015113960+50733450*n-784863*n^2+5022*n^3-9*n^4)
*p8*p1+432/7*(-1880549804+287331856/3*n-1372336*n^2+18032/3*n^3)*p7*p2+48*(-\
2212659540+214853499/2*n-6306489/4*n^2+20097/2*n^3-63/4*n^4)*p6*p3+24*(-3962196
+43848*n)*p6*p1^3+216/5*(-2354714040+315284075/3*n-2436375/2*n^2+18925/3*n^3-25
/2*n^4)*p5*p4-3456*p5*p3^2*p2-3024*p6*p3*p2^2-5184*p5^2*p2*p1-2160*p5*p4*p2^2+
84672*p6*p5*p2-453600*p6*p3*p1^2+15120*p6*p4*p3+114048*p10*p2*p1+47520*p9*p3*p1
+19440*p8*p4*p1+108864*p8*p3*p2-3888*p8*p2^2*p1+72576*p7*p5*p1+34560*p7*p4*p2+
108/7*(2234624-25536*n)*p7*p2^2+144/5*(-20850480+308910*n-1470*n^2)*p6*p5+432/5
*(-7934190+145860*n-660*n^2)*p10*p1+48*(-17413110+333630*n-990*n^2)*p9*p2+48*(
325710-1980*n)*p9*p1^2+36*(-18673200+342792*n-1512*n^2)*p8*p3+18*(-1411824312+
95706024*n-2187000*n^2+18096*n^3)*p2^3*p1+18*(74845416-3916368*n+74400*n^2-576*
n^3)*p2^2*p1^3+18/5*(-1694880+31680*n)*p2*p1^5+216*(-549327477960+333905537941/
3*n-46180590427/6*n^2+719314634/3*n^3-22980701/6*n^4+32983*n^5-120*n^6)*p4*p1+
144*(-815557450728+829989722679/5*n-23014870299/2*n^2+356555498*n^3-5508481*n^4
+217061/5*n^5-271/2*n^6)*p3*p2+144*(105948578664-15930872583*n+1661535399/2*n^2
-20874951*n^3+305232*n^4-2640*n^5+21/2*n^6)*p3*p1^2+9/4*(2941632-65664*n)*p2^4*
p1+108/5*(309793520-36231980/3*n+122980*n^2-880/3*n^3)*p5*p2^2+36/5*(86040-720*
n)*p5*p1^4+27*(177035760-5279200*n+38400*n^2)*p4^2*p1-57024*p3*p2*p1^4+144/5*(-\
180810+3195*n-15*n^2)*p5*p3*p2*p1-1886976*p11*p2+432/7*(81784556-2704800*n+
27944*n^2-112*n^3)*p7*p1^2-6912*p7*p3*p2*p1+432*(-1707754379520+4132400544889/6
*n-1135788652619/12*n^2+88790173343/15*n^3-763210933/4*n^4+6874817/2*n^5-211523
/6*n^6+829/5*n^7)*p2*p1+864*(823350528000-1231395466120*n+3305455752041/6*n^2-\
3103470937619/30*n^3+378504883443/40*n^4-27465038809/60*n^5+49537017/4*n^6-\
5883941/30*n^7+217541/120*n^8-157/20*n^9)*p1+216/7*(-17702440+178640*n-560*n^2)
*p7*p4+96*(9385215840-1278806595/2*n+49828185/4*n^2-160545/2*n^3+495/4*n^4)*p9+
864/11*(114354240-2894892*n+12012*n^2)*p11+864/7*(251513982720-35383592538*n+
4898272141/3*n^2-93006928/3*n^3+750995/3*n^4-2114/3*n^5)*p7+864/5*(
2103346124880-1151795443827/2*n+649532505955/12*n^2-13560342265/6*n^3+545417065
/12*n^4-1334312/3*n^5+5635/3*n^6-5/3*n^7)*p5+16/3*(348992874-14361300*n+216756*
n^2-1296*n^3)*p3^3+144*(392393095680-1139031122451/10*n+45611955729/4*n^2-\
1062269775/2*n^3+53789277/4*n^4-1038552/5*n^5+3921/2*n^6-9*n^7)*p1^3+288*(
4222444175040-2376458879495*n+2268339609736/5*n^2-389312468307/10*n^3+
13377440467/8*n^4-75688697/2*n^5+9246461/20*n^6-14709/5*n^7+59/8*n^8)*p3+36/5*(
1042485480-72774720*n+1436400*n^2-10080*n^3)*p1^5+38880*p5^2*p3-475200*p9*p4+
24675840*p13+36*(-503399604+24945120*n-370680*n^2+2160*n^3)*p4*p1^3+432/5*(-\
70393099110+14797501595/2*n-3023129975/12*n^2+21164365/6*n^3-244825/12*n^4+85/3
*n^5)*p5*p2+432/5*(5430950910-829152375/2*n+42959345/4*n^2-137680*n^3+3735/4*n^
4-5/2*n^5)*p5*p1^2+72*(-81900222960+8390940583*n-549861041/2*n^2+3823010*n^3-\
53815/2*n^4+75*n^5)*p4*p3+144*(-42111765990+8793309357/2*n-607565343/4*n^2+
2339841*n^3-71505/4*n^4+105/2*n^5)*p6*p1+48*(9835971534-1553419413/2*n+87933375
/4*n^2-658557/2*n^3+10809/4*n^4-9*n^5)*p3^2*p1+3*(-92448+1728*n)*p2^3*p1^3+432*
p5*p3*p2^2*p1+12*(30636144-775008*n+4752*n^2)*p3*p1^4+36*(14057790816-\
1148701738*n+31362115*n^2-362894*n^3+1541*n^4)*p3*p2^2+72*(-14610592920+
1666402332*n-68045607*n^2+1406028*n^3-16395*n^4+90*n^5)*p2*p1^3+108*(
143107288584-329935089962/15*n+3548484353/3*n^2-89986376/3*n^3+1181155/3*n^4-\
11206/5*n^5)*p2^2*p1-2160*p5*p4*p3*p1+6*(-41082336+1274328*n-9288*n^2)*p3*p2^3+
8*(262116-1296*n)*p3^2*p1^3-23328*p8*p1^3
[6, 4, 3, 2, 2, 2]
27219456*p10*p3+144/5*(-12926520+424550*n-4730*n^2+20*n^3)*p5*p1^4+144*(
192801816-7339590*n+83730*n^2-300*n^3)*p4*p3*p1^2+864/5*(163699060-18237730/3*n
+62180*n^2-410/3*n^3)*p5*p2*p1^2+144*(-1695511848+58074190*n-555450*n^2+1500*n^
3)*p4*p3*p2+12*(1590192-33696*n)*p2^3*p1^3+18/5*(-95040+1920*n)*p2^2*p1^5-\
139968*p3*p2^4+576*(265328537040-30352653121*n+2279251163/2*n^2-17256540*n^3+
200641/2*n^4-161*n^5)*p6*p1-27648*p3*p1^6+1728/5*(370023225240-38083271260*n+
7207880585/6*n^2-42254525/3*n^3+388405/6*n^4-190/3*n^5)*p5*p2+144*(-71939760984
+5490822484*n-130437426*n^2+1237656*n^3-3930*n^4)*p3*p2^2+48*(-909204744+
62045544*n-1533840*n^2+17820*n^3-84*n^4)*p3*p1^4+72*(8937929256-599129028*n+
12743532*n^2-92520*n^3)*p2^3*p1+72*(-981498240+62541796*n-1343148*n^2+10392*n^3
)*p2^2*p1^3+72/5*(87462840-4785800*n+93640*n^2-720*n^3)*p2*p1^5+864*(
2962736303040-1899211934102/3*n+139518798071/3*n^2-1519656982*n^3+71332591/3*n^
4-524524/3*n^5+490*n^6)*p4*p1+576*(4105076694768-4181202819226/5*n+56489893804*
n^2-3225564315/2*n^3+41997619/2*n^4-1323513/10*n^5+601/2*n^6)*p3*p2+576*(-\
671169102048+572421019062/5*n-6897838714*n^2+385053239/2*n^3-5450171/2*n^4+
193061/10*n^5-101/2*n^6)*p3*p1^2+432*(-809824721136+1958938975906/15*n-\
7245238400*n^2+539417368/3*n^3-2130530*n^4+52268/5*n^5)*p2^2*p1+108*(-\
1689550560+67860800*n-706400*n^2+2400*n^3)*p4^2*p1+36/5*(705600-9600*n)*p4*p1^5
+32*(-20636316+770913*n-9477*n^2+36*n^3)*p3^2*p1^3+96*(204665052-7063509*n+
69801*n^2-180*n^3)*p3^2*p2*p1+24*(168192720-4508892*n+26892*n^2)*p3*p2^3-\
3773952*p11*p1^2+9*(-16155072+321408*n)*p2^4*p1+216/5*(-99440+720*n)*p5*p2^2*p1
^2+72/5*(6840-80*n)*p5*p2*p1^4+54*(1068800-9600*n)*p4^2*p2*p1+48*(1531800-18720
*n)*p4*p3^2*p1+36*(915120-7200*n)*p4*p3*p2^2+432/5*(-10654800+119450*n-250*n^2)
*p5*p4*p2+432/5*(1205000-14450*n+50*n^2)*p5*p4*p1^2+96*(1408428-23247*n+63*n^2)
*p6*p3*p1^2+72*(1012200-9072*n)*p6*p2^2*p1+48*(-93996+1176*n)*p6*p2*p1^3+216*(-\
10275408+152052*n-180*n^2)*p8*p2*p1+1152/7*(-13155240+211918*n-462*n^2)*p7*p3*
p1+864/7*(1071392-14112*n)*p7*p2*p1^2+144*(-12898200+166740*n-420*n^2)*p6*p4*p1
+96*(-11243232+143115*n-315*n^2)*p6*p3*p2+432*(-60472120752+15619125374/3*n-\
144383750*n^2+4727140/3*n^3-6160*n^4)*p4*p2*p1+288*(118044415728-82864659442/5*
n+840521016*n^2-20181654*n^3+245408*n^4-6408/5*n^5)*p2*p1^3+1728*(8306653104000
-51760576329767/15*n+4902145371027/10*n^2-189708913075/6*n^3+3093011384/3*n^4-\
178634587/10*n^5+4926439/30*n^6-663*n^7)*p2*p1+288*(8555206392-638613016*n+
16206888*n^2-173596*n^3+652*n^4)*p3*p2*p1^2+72*(-19561392+589164*n-4140*n^2)*p3
*p2^2*p1^2+24*(1552992-47976*n+408*n^2)*p3*p2*p1^4+1728/5*(-46672514340+
13324247900/3*n-852726185/6*n^2+5716400/3*n^3-62005/6*n^4+35/3*n^5)*p5*p1^2+
30191616*p11*p2+288*(437703818640-44628066238*n+1383126613*n^2-16044660*n^3+
83955*n^4-150*n^5)*p4*p3+108*(174751376-5394000*n+38640*n^2)*p4*p2^2*p1+144*(
7082650416-564872178*n+15439534*n^2-182020*n^3+840*n^4)*p4*p1^3+72*(-16546536+
513280*n-4080*n^2)*p4*p2*p1^3+192*(-67417074420+5822436891*n-330636663/2*n^2+
1982379*n^3-21177/2*n^4+18*n^5)*p3^2*p1+17107200*p9*p4-5184*p5*p3*p2^2*p1+76032
*p10*p1^3+1728/5*(85480560-1943590*n+4950*n^2)*p10*p1+576*p5*p3*p2*p1^3+120960*
p5*p4*p3*p1-8640*p5*p4*p2*p1^2+16*(12996-144*n)*p3^2*p2*p1^3+192/5*(-118980+
3855/2*n-15/2*n^2)*p5*p3*p1^3+192*(85120200-1388475*n+2475*n^2)*p9*p2+192*(-\
9628740+190575*n-495*n^2)*p9*p1^2+144*(106790400-1700172*n+3852*n^2)*p8*p3+24*(
-111960+864*n)*p3^2*p2^2*p1+72*(858384-13572*n+36*n^2)*p8*p1^3+288*(-1352752800
+57303631*n-639009*n^2+1778*n^3)*p6*p2*p1+864/7*(111857760-1436680*n+3080*n^2)*
p7*p4+1152/5*(-1640878800+69554245*n-3309395/4*n^2+6855/2*n^3-15/4*n^4)*p5*p3*
p1+18537984*p8*p5+36*(-11978400+129600*n)*p4^2*p3+576/5*(118964160-1550535*n+
4935*n^2)*p6*p5-1036800*p4^2*p1^3+432/7*(-9018912+92736*n)*p7*p2^2-570240*p9*p2
^2+1728/25*(-13496100+183875*n-675*n^2)*p5^2*p1+192/5*(-13289400+171210*n-330*n
^2)*p5*p3^2+72/5*(764280-4320*n)*p5*p2^3+1728/7*(-1119279168+166314512/3*n-\
794864*n^2+9856/3*n^3)*p7*p1^2+32/3*(1236816-12096*n)*p3^3*p2+32/3*(-187272+
2592*n)*p3^3*p1^2+96*(135187416-5607315*n+70665*n^2-294*n^3)*p6*p1^3+864/5*(
13407828840-599337800*n+6317125*n^2-24950*n^3+25*n^4)*p5*p4+432/5*(-1463261520+
50188930*n-438010*n^2+760*n^3)*p5*p2^2-552960*p5^2*p3+17998848*p7*p6-589824*p7*
p3^2-1354752*p6^2*p1+432*(8013271680-464499228*n+7526598*n^2-32508*n^3+18*n^4)*
p8*p1+1728/7*(9934258320-473175808*n+5675656*n^2-18088*n^3)*p7*p2+77760*p3*p2^3
*p1^2-4608*p7*p3*p1^3+103680*p5^2*p2*p1+190080*p9*p2*p1^2-2021760*p8*p4*p1-\
1327104*p8*p3*p2+217728*p8*p3*p1^2+46656*p8*p2^2*p1-5184*p8*p2*p1^3-2571264*p7*
p5*p1-829440*p7*p4*p2+69120*p7*p4*p1^2-1306368*p6*p5*p2+169344*p6*p5*p1^2-\
846720*p6*p4*p3+96768*p6*p3^2*p1+36288*p6*p3*p2^2-3649536*p10*p2*p1-3801600*p9*
p3*p1+103680*p4*p2^2*p1^3-3456*p3*p2^2*p1^4+34560*p4*p3*p1^4+32256*p5*p3^2*p2-\
6912*p5*p3^2*p1^2+25920*p5*p4*p2^2+144/7*(-46368+448*n)*p7*p1^4+192*(
12357601704-575423898*n+13597563/2*n^2-28035*n^3+63/2*n^4)*p6*p3-1088640*p4*p2^
3*p1-12096*p6*p3*p2*p1^2+1152*(-19766119988160+11239323103074*n-10784755974321/
5*n^2+1835172307767/10*n^3-30322776409/4*n^4+310914563/2*n^5-7885194/5*n^6+
40039/5*n^7-59/4*n^8)*p3+144/5*(-15763850640+1926323190*n-86967230*n^2+1923540*
n^3-22660*n^4+120*n^5)*p1^5+72*(-119160+1200*n)*p4*p3*p2*p1^2+576/5*(1315470-\
33115/2*n+75/2*n^2)*p5*p3*p2*p1+120960*p6*p4*p2*p1-3456*p5^2*p1^3-259200*p5*p4^
2+75479040*p12*p1+165888*p7*p3*p2*p1-592220160*p13+64/3*(-1912371768+68393106*n
-722682*n^2+2376*n^3)*p3^3+3456/5*(-10363520447280+2859781724646*n-534627970265
/2*n^2+64527758435/6*n^3-194662445*n^4+9181859/6*n^5-9975/2*n^6+10/3*n^7)*p5+
3456/11*(-661620960+16378362*n-42042*n^2)*p11+24/35*(-3991680+80640*n)*p1^7+
3456*(-3705077376000+5597570864752*n-38102581949447/15*n^2+2423578928734/5*n^3-\
2700695730953/60*n^4+65836447309/30*n^5-586013377/10*n^6+13190848/15*n^7-440597
/60*n^8+277/10*n^9)*p1+3456/7*(-1311136706880+184703348144*n-24842366150/3*n^2+
423751720/3*n^3-2595334/3*n^4+5012/3*n^5)*p7+576*(-2126174166720+3397929893257/
5*n-775952498427/10*n^2+42417803431/10*n^3-124876654*n^4+20886261/10*n^5-196073
/10*n^6+417/5*n^7)*p1^3+384*(-51716705040+3492720990*n-124746435/2*n^2+279675*n
^3-495/2*n^4)*p9
[6, 4, 2, 2, 2, 2, 2]
384*(-28010+240*n)*p5*p2*p1^4+1920*(-1173186+9828*n)*p6*p2^2*p1+1280*(256830-\
2772*n)*p6*p2*p1^3+2304*(9992570-112350*n+150*n^2)*p5*p4*p2+2304*(-2645650+
36550*n-50*n^2)*p5*p4*p1^2+1024*(358410-10335/2*n+15/2*n^2)*p5*p3*p1^3+3840*(
17163510-226800*n+420*n^2)*p6*p4*p1+2560*(9663108-110313*n+189*n^2)*p6*p3*p2+
2560*(-2467080+34839*n-63*n^2)*p6*p3*p1^2+5760*(12904440-185292*n+108*n^2)*p8*
p2*p1+30720/7*(15627612-215082*n+378*n^2)*p7*p3*p1+23040/7*(-1930824+24192*n)*
p7*p2*p1^2+6144*(1840720659-940252937/12*n+6502901/8*n^2-31165/12*n^3+15/8*n^4)
*p5*p3*p1+4608*(-251922974+10043848*n-94690*n^2+130*n^3)*p5*p2*p1^2+3840*(
1508808800-48991290*n+420570*n^2-900*n^3)*p4*p3*p2+3840*(-291944800+11642630*n-\
117030*n^2+300*n^3)*p4*p3*p1^2+2880*(-205645572+6345720*n-43920*n^2)*p4*p2^2*p1
+1920*(37583804-1345080*n+10800*n^2)*p4*p2*p1^3+2560*(-224599050+7089423*n-\
59103*n^2+108*n^3)*p3^2*p2*p1+960*(-766260+5400*n)*p4*p3*p2^2+320*(-45180+600*n
)*p4*p3*p1^4+640*(106866-648*n)*p3^2*p2^2*p1+1280/3*(-25542+216*n)*p3^2*p2*p1^3
+1440*(-1420800+14400*n)*p4^2*p2*p1+1280*(-1547190+14520*n)*p4*p3^2*p1+1152*(
142770-900*n)*p5*p2^2*p1^2+1920*(28594380-812916*n+4968*n^2)*p3*p2^2*p1^2+11520
*(59991230990-5438089818*n+154358242*n^2-1600580*n^3+5580*n^4)*p4*p2*p1+7680*(
1543464174-67457733*n+707763*n^2-1470*n^3)*p6*p2*p1+128/5*(3810-60*n)*p5*p1^6+
9216/5*(17985870-246645*n+525*n^2)*p5^2*p1+1024*(10209684-107862*n+150*n^2)*p5*
p3^2+9216*(-106359110+2501070*n-4290*n^2)*p10*p1+5120*(-79438590+1266705*n-1485
*n^2)*p9*p2+3840*(-93405528+1283220*n-2340*n^2)*p8*p3+1920*(-2784888+56340*n-36
*n^2)*p8*p1^3-23040*p5*p3*p2*p1^3+345600*p5*p4*p2*p1^2-2342400*p5*p4*p3*p1+
483840*p6*p3*p2*p1^2-4838400*p6*p4*p2*p1+23040/7*(-103810560+1292760*n-2520*n^2
)*p7*p4+11520/7*(8305416-81648*n)*p7*p2^2-4976640*p7*p3*p2*p1+3840/7*(390936-\
7056*n)*p7*p1^4+3072*(-111390552+1429281*n-3465*n^2)*p6*p5+7680*(-10397965748+
839968788*n-21774678*n^2+209812*n^3-618*n^4)*p3*p2*p1^2+640*(-4980996+162336*n-\
1188*n^2)*p3*p2*p1^4+384*(-631530+3240*n)*p5*p2^3+46080/7*(-8900864112+
421712928*n-4827312*n^2+12600*n^3)*p7*p2+2560*(-271653102+13562255*n-180705*n^2
+406*n^3)*p6*p1^3+2560/9*(-895860+6480*n)*p3^3*p2+2560/9*(233820-2160*n)*p3^3*
p1^2+128/3*(5634-72*n)*p3^2*p1^5+768*p5*p3*p1^5-19200*p5*p4*p1^4-26880*p6*p3*p1
^4+153600*p5*p3^2*p1^2+100085760*p7*p5*p1+24883200*p7*p4*p2-8294400*p7*p4*p1^2+
552960*p7*p3*p1^3+31933440*p6*p5*p2-10644480*p6*p5*p1^2+16396800*p6*p4*p3+
537600*p6*p4*p1^3-2150400*p6*p3^2*p1-725760*p6*p3*p2^2-2903040*p5^2*p2*p1-\
518400*p5*p4*p2^2-460800*p5*p3^2*p2+99686400*p9*p3*p1-7603200*p9*p2*p1^2+
83289600*p8*p4*p1+26956800*p8*p3*p2-8985600*p8*p3*p1^2-933120*p8*p2^2*p1+207360
*p8*p2*p1^3+128*(-46242+756*n)*p6*p1^5+5120*(17826930-394515*n+495*n^2)*p9*p1^2
+960*(9853000-90000*n)*p4^2*p3+480*(361600-4800*n)*p4^2*p1^3+2880*(1938827560-\
81202000*n+807200*n^2-2400*n^3)*p4^2*p1+4608*(-11945468598+1585248035/3*n-\
10458675/2*n^2+54775/3*n^3-25/2*n^4)*p5*p4+2304*(1344304090-45453078*n+369150*n
^2-480*n^3)*p5*p2^2+768*(43485330-5833370/3*n+22690*n^2-100/3*n^3)*p5*p1^4+5120
*(-10877211450+980750239/2*n-20537517/4*n^2+35063/2*n^3-63/4*n^4)*p6*p3+46080/7
*(1570672320-86933784*n+1292928*n^2-3696*n^3)*p7*p1^2+9216*(51745326078-\
32561409001/6*n+2268910499/12*n^2-7752737/3*n^3+140305/12*n^4-55/6*n^5)*p5*p1^2
+7680*(-368204267712+112649902105/3*n-2261062595/2*n^2+35715350/3*n^3-108125/2*
n^4+75*n^5)*p4*p3+9216*(-312753581418+194472249221/6*n-4047170141/4*n^2+
67779487/6*n^3-185015/4*n^4+35*n^5)*p5*p2+11520*(-8582812536+524405990*n-\
8510871*n^2+28954*n^3-9*n^4)*p8*p1+192*(-6210028+245720*n-2400*n^2)*p4*p1^5+96*
(441480-9648*n)*p2^2*p1^5+15360*(-246600968754+59410593599/2*n-4656979215/4*n^2
+17578806*n^3-354249/4*n^4+217/2*n^5)*p6*p1+64/7*(-45864+1008*n)*p2*p1^7+2560/3
*(42480234-1604673*n+15957*n^2-36*n^3)*p3^2*p1^3+320*(-3031344+62208*n)*p2^3*p1
^3+54190080*p6^2*p1+46080*(-6329008484676+5403331030961/2*n-23781537900487/60*n
^2+794867868679/30*n^3-3570475751/4*n^4+46867859/3*n^5-2067992/15*n^6+2606/5*n^
7)*p2*p1+8773632*p5^2*p3+1280*(1710676836-141060646*n+3934537*n^2-43130*n^3+143
*n^4)*p3*p1^4-13178880*p10*p1^3+7680*(-126236729268+297713488864/15*n-\
1130527346*n^2+89279050/3*n^3-371336*n^4+9132/5*n^5)*p2*p1^3+11520*(
706277941156-597619405514/5*n+6938959766*n^2-176084160*n^3+2022132*n^4-46416/5*
n^5)*p2^2*p1+15360*(617113467312-340083193307/3*n+44314081643/6*n^2-1314524219/
6*n^3+18603541/6*n^4-38917/2*n^5+40*n^6)*p3*p1^2+640*(-148278924+3707532*n-\
19440*n^2)*p3*p2^3-6912*p8*p1^5+384*(-249948698+18032436*n-424044*n^2+3352*n^3)
*p2*p1^5+23040*(-2453949738964+545646228527*n-251128772929/6*n^2+4255747178/3*n
^3-133354811/6*n^4+450349/3*n^5-370*n^6)*p4*p1+1920*(-9457711506+655271856*n-\
13737384*n^2+94176*n^3)*p2^3*p1+15360*(-3263685317040+2020845694115/3*n-\
91300539473/2*n^2+7682741345/6*n^3-31437717/2*n^4+178131/2*n^5-165*n^6)*p3*p2-\
2851430400*p12*p1+1920*(1562141986-112406796*n+2552328*n^2-18864*n^3)*p2^2*p1^3
-491581440*p7*p6+322560*p5^2*p1^3+18432*(8036080648596-22458155865427/10*n+
7610727856169/36*n^2-8458749524*n^3+5340300281/36*n^4-32192599/30*n^5+55525/18*
n^6-5/3*n^7)*p5+92160/11*(605260656-14732718*n+30030*n^2)*p11+92160/7*(
1075455068688-152743918614*n+6813696225*n^2-112190232*n^3+613683*n^4-966*n^5)*
p7+118609920*p10*p2*p1+240*(17613936-334368*n)*p2^4*p1+128/3*(759924-27576*n+
252*n^2)*p3*p1^6+3840*(-9926408742+2756340790/3*n-28563054*n^2+1046780/3*n^3-\
1340*n^4)*p4*p1^3+5120*(66233810622-11879039203/2*n+665920703/4*n^2-3492119/2*n
^3+30073/4*n^4-9*n^5)*p3^2*p1+3840*(62518126588-4745125500*n+108229176*n^2-\
932724*n^3+2448*n^4)*p3*p2^2+30720*(14601724975656-42033595779429/5*n+
4895910314092/3*n^2-838333806551/6*n^3+137761168109/24*n^4-1714818188/15*n^5+
12949393/12*n^6-29459/6*n^7+59/8*n^8)*p3+768*(22239141156-49276538308/15*n+
544361317/3*n^2-14338432/3*n^3+184493/3*n^4-1594/5*n^5)*p1^5+10240*(44940603708
-6058867815/2*n+209358765/4*n^2-400455/2*n^3+495/4*n^4)*p9+128/7*(38033898-\
2669856*n+62412*n^2-504*n^3)*p1^7+103680*p5*p3*p2^2*p1+3072*(-1449296+32385/2*n
-45/2*n^2)*p5*p3*p2*p1+1920*(191820-1800*n)*p4*p3*p2*p1^2+92160*(2639867630400-\
20139396014308/5*n+33387871235849/18*n^2-16220820387412/45*n^3+12309695915299/
360*n^4-307170406639/180*n^5+1674368029/36*n^6-31468663/45*n^7+672877/120*n^8-\
397/20*n^9)*p1+15360*(1744848864756-5945836303233/10*n+294265372585/4*n^2-\
22053629153/5*n^3+569111615/4*n^4-25421117/10*n^5+24138*n^6-492/5*n^7)*p1^3+
4032000*p5*p4^2+251596800*p11*p1^2-754790400*p11*p2-458846208*p8*p5+422400*p9*
p1^4+11404800*p9*p2^2-418176000*p9*p4-540334080*p10*p3+11059200*p7*p3^2+
31104000*p4*p2^3*p1-6220800*p4*p2^2*p1^3+184320*p4*p2*p1^5+2799360*p3*p2^4-\
2488320*p3*p2^3*p1^2+241920*p3*p2^2*p1^4+15002910720*p13+5120/9*(1607814900-\
50547726*n+445878*n^2-1080*n^3)*p3^3-4608*p3*p2*p1^6
[6, 3, 3, 3, 3]
-15552*p7*p2^3-4245696*p11*p2-14580*p5*p4*p2^2+320760*p9*p2^2-1603800*p9*p4+
233280*p7*p4*p2+108864*p6*p5*p2+36450*p5*p4^2-481140*p8*p5-279936*p7*p2*p1^2-\
1968300*p4^2*p2*p1-466560*p5*p3*p2*p1-87480*p5*p4*p1^2-3592512*p6*p2^2*p1+
1924560*p9*p1^2-22861440*p6*p1^3+49076280*p8*p2*p1+3732480*p7*p3*p1+2939328*p5^
2*p1+21228480*p6*p4*p1-870912*p7*p6+486*p5*p2^4+972*(-46658004+2034954*n-24282*
n^2+72*n^3)*p3*p2*p1^2+324*(-1001520+5760*n)*p3^2*p2*p1+243*(68616-288*n)*p3*p2
^2*p1^2+1458*(651411560-52821270*n+1565345*n^2-22370*n^3+135*n^4)*p4*p2*p1+2916
/5*(-494300+3990*n-30*n^2)*p5*p2*p1^2+486*(32101380-1411590*n+21510*n^2-120*n^3
)*p4*p3*p2+486*(-221940+720*n)*p4*p3*p1^2+729/2*(-2526880+89600*n-960*n^2)*p4*
p2^2*p1+243/2*(-51960+480*n)*p4*p3*p2^2+972*(12204304-425936*n+4032*n^2)*p6*p2*
p1+1458/5*(362700-6250*n+50*n^2)*p5*p4*p2+1749600*p5*p3^2+324*(226128-1344*n)*
p6*p3*p2+648*(-2151270+57915*n-495*n^2)*p9*p2+81/8*(15024-192*n)*p3*p2^4+243/5*
(-103320+2420*n-20*n^2)*p5*p2^3+243/2*(165900-1200*n)*p4^2*p3+1944/5*(-1586340+
18200*n-140*n^2)*p6*p5+5832/5*(279083490-29570695/2*n+732065/4*n^2-1905/2*n^3+
15/4*n^4)*p5*p1^2+972*(-6147033990+1280013735/2*n-90033945/4*n^2+772155/2*n^3-\
14295/4*n^4+15*n^5)*p4*p3+486*(-18388080+491400*n-4680*n^2)*p4*p1^3+648*(
564094800-31345920*n+380880*n^2-1440*n^3)*p3^2*p1+486*(1299346512-129363723*n+
10142613/2*n^2-105483*n^3+2403/2*n^4-6*n^5)*p3*p2^2+162*(550692-1296*n)*p3*p1^4
+2916*(-38781668520+7713250300*n-522217145*n^2+32647545/2*n^3-562365/2*n^4+5495
/2*n^5-25/2*n^6)*p4*p1+5832/7*(2733556-21336*n+168*n^2)*p7*p1^2+648*(-158779404
+6719832*n-82068*n^2+336*n^3)*p6*p3+2916/5*(-190365000+18812225/2*n-661975/4*n^
2+2975/2*n^3-25/4*n^4)*p5*p4+1458/5*(40430940-2368725*n+106915/2*n^2-575*n^3+5/
2*n^4)*p5*p2^2+52488*p5*p1^4+4024080*p4*p2*p1^3-198288*p2^3*p1^3-1994544*p2*p1^
5+1458/7*(493752-12880*n+112*n^2)*p7*p2^2+2916/7*(-1792140+33320*n-280*n^2)*p7*
p4+486*(-1022670+3960*n)*p8*p3+3888/5*(7277940-56820*n+300*n^2)*p5*p3*p1+1944*(
-2784842060+266087948*n-8010366*n^2+104804*n^3-546*n^4)*p6*p1+1458*(-57821280+
2071740*n-17820*n^2)*p8*p1+5832/7*(-179185188+11445994*n-270592*n^2+3052*n^3-14
*n^4)*p7*p2+1944*(-61666222464+26323268483/2*n-1014630392*n^2+315973725/8*n^3-\
7388563/8*n^4+109491/8*n^5-973/8*n^6+1/2*n^7)*p3*p2+729/2*(10794400-303800*n+
3000*n^2)*p4^2*p1+243/8*(596224-23840*n+288*n^2)*p2^4*p1+81*(-7276680+371916*n-\
6972*n^2+48*n^3)*p3*p2^3+243*(-135566624+11260676*n-369654*n^2+6044*n^3-42*n^4)
*p2^3*p1+11664/7*(18936857940-16551877433/6*n+1683695671/12*n^2-10344656/3*n^3+
190897/4*n^4-721/2*n^5+7/6*n^6)*p7+243*(3758976-136800*n+1440*n^2)*p2^2*p1^3+
1296*(725945220-206649135/4*n+9804465/8*n^2-54945/4*n^3+495/8*n^4)*p9+972*(-\
815318112+77686638*n-2436705*n^2+35010*n^3-207*n^4)*p2*p1^3+11664*(60988928000-\
274421111879/3*n+123725262019/3*n^2-126084675839/16*n^3+11985675143/16*n^4-\
7574158199/192*n^5+243630323/192*n^6-2597399/96*n^7+12457/32*n^8-679/192*n^9+1/
64*n^10)*p1+1458*(10560916272-1703479540*n+103494066*n^2-3348560*n^3+65146*n^4-\
748*n^5+4*n^6)*p2^2*p1+5832/5*(-5725821390+4050629125/6*n-89419460/3*n^2+
16614545/24*n^3-74305/8*n^4+545/8*n^5-5/24*n^6)*p5*p2+1944*(6651613104-\
1747975017/2*n+140006535/4*n^2-1086813/2*n^3+15273/4*n^4-9*n^5)*p3*p1^2+5832*(-\
124538971040+302945584277/6*n-56516306591/8*n^2+11186963855/24*n^3-1649872451/
96*n^4+402213*n^5-298775/48*n^6+1445/24*n^7-9/32*n^8)*p2*p1+11664/5*(
156105789840-350118271515/8*n+416631606175/96*n^2-19747180685/96*n^3+700803775/
128*n^4-2169035/24*n^5+59275/64*n^6-515/96*n^7+5/384*n^8)*p5+3888*(312133610880
-1423618720251/8*n+1117935587487/32*n^2-101921997877/32*n^3+19950698097/128*n^4
-146583925/32*n^5+5614949/64*n^6-35433/32*n^7+1097/128*n^8-1/32*n^9)*p3+1944*(
26603930400-7234859178*n+643284426*n^2-48782931/2*n^3+894789/2*n^4-8793/2*n^5+
39/2*n^6)*p1^3+72*(15381900-97200*n)*p3^3+486/5*(34202880-1273320*n+11880*n^2)*
p1^5+11664/11*(9189180-242242*n+2002*n^2)*p11-350269920*p10*p1+204120*p4*p2^3*
p1+27760320*p13+17496*p5*p2^2*p1^2-2916*p2^5*p1
[6, 3, 3, 3, 2, 2]
213840*p9*p2*p1^2+93312*p7*p2^3+248832*p7*p3*p2*p1+77760*p7*p4*p1^2+349920*p8*
p2^2*p1+62208*p5*p3^2*p2+87480*p5*p4*p2^2+77760*p5*p4*p3*p1+163296*p5^2*p2*p1+
108864*p6*p3*p2^2+136080*p6*p4*p2*p1+36288*p6*p5*p1^2+56609280*p12*p1-1415232*
p11*p1^2-2799360*p8*p3*p2-1749600*p8*p4*p1+17496000*p8*p1^3-3207600*p9*p2^2-\
1710720*p9*p3*p1-6671808*p10*p2*p1-497664*p7*p3^2-1866240*p7*p4*p2-2239488*p7*
p5*p1+67931136*p11*p2-544320*p6*p4*p3-2231712*p6*p5*p2-508032*p6^2*p1+26687232*
p10*p3-291600*p5*p4^2-653184*p5^2*p3+972/5*(298400-3425*n+25*n^2)*p5*p4*p1^2+
1944/7*(457324-7112*n+56*n^2)*p7*p2*p1^2+324*(-4435760+45570*n-210*n^2)*p6*p4*
p1+216*(-8137836+114408*n-504*n^2)*p6*p3*p2+216*(202776-672*n)*p6*p3*p1^2+486*(
-5728320+113040*n-720*n^2)*p8*p2*p1+2592/7*(-4139016+54768*n-336*n^2)*p7*p3*p1+
243/2*(692800-4800*n)*p4^2*p2*p1+108*(363600-2880*n)*p4*p3^2*p1+81*(1134840-\
10080*n)*p4*p3*p2^2+81/2*(-138560+960*n)*p4*p2^3*p1+54*(-103968+1152*n)*p3^2*p2
^2*p1+27*(11544-96*n)*p3*p2^3*p1^2-15552*p7*p2^2*p1^2+162*(972048-15204*n+84*n^
2)*p6*p2^2*p1+243*(107333680-4374800*n+59360*n^2-240*n^3)*p4*p2^2*p1+162*(-\
4980120+135660*n-1260*n^2)*p4*p2*p1^3+19245600*p9*p4+216*(93498948-3506184*n+
51336*n^2-288*n^3)*p3^2*p2*p1+972*(-25981293360+2323704550*n-75100640*n^2+
1212610*n^3-9910*n^4+30*n^5)*p4*p2*p1+486/5*(-84320+1330*n-10*n^2)*p5*p2^2*p1^2
-93312*p7*p1^4+648*(3184310784-468201495/2*n+26538285/4*n^2-204855/2*n^3+3483/4
*n^4-3*n^5)*p3*p2*p1^2+2592/5*(-611335260+24363900*n-721995/2*n^2+2625*n^3-15/2
*n^4)*p5*p3*p1+1944/5*(62810070-4974585/2*n+158595/4*n^2-635/2*n^3+5/4*n^4)*p5*
p2*p1^2+324*(-969215220+39324255*n-524835*n^2+2460*n^3)*p4*p3*p2+324*(50699040-\
1418295*n+16155*n^2-60*n^3)*p4*p3*p1^2-9072*p6*p2^3*p1+54*(231768-864*n)*p3*p2*
p1^4+972/5*(-8454300+99425*n-425*n^2)*p5*p4*p2+22394880*p8*p5-9720*p5*p4*p2*p1^
2-2340576*p6*p2*p1^3-15552*p5*p3*p2^2*p1-1944*p5*p2^4+648*p5*p2^3*p1^2+432/5*(-\
6044400+82440*n-360*n^2)*p5*p3^2+3888/5*(30899440-656370*n+4290*n^2)*p10*p1+432
*(-2326500+63855/2*n-495/2*n^2)*p9*p1^2+324*(50639040-799200*n+4320*n^2)*p8*p3+
972/7*(-9764328+171640*n-952*n^2)*p7*p2^2+27/4*(-193824+1152*n)*p3*p2^4+54*(
157288464-6264282*n+79818*n^2-264*n^3)*p3*p2^3+3888/7*(5267772888-294826287*n+
5277307*n^2-39452*n^3+112*n^4)*p7*p2+3888/7*(-340753308+14227073*n-211512*n^2+
1694*n^3-7*n^4)*p7*p1^2+216*(28677264-724962*n+5922*n^2)*p6*p1^3+972/5*(-\
998174100+46429065*n-1418935/2*n^2+4495*n^3-25/2*n^4)*p5*p2^2+24*(873504-10368*
n)*p3^3*p2+81*(-5456400+43200*n)*p4^2*p3+3888/25*(-5019000+76125*n-525*n^2)*p5^
2*p1+16982784*p7*p6-248832*p5*p3*p1^3+11664*p5*p2*p1^4-583200*p4^2*p1^3+174960*
p4*p2^2*p1^3+46656*p2^5*p1-3888*p2^4*p1^3+1166400*p4*p1^5-163296*p2^2*p1^5-\
559872*p1^7+3888/5*(-16692160620+8749175705/6*n-1079245175/24*n^2+34314665/48*n
^3-108935/16*n^4+605/16*n^5-5/48*n^6)*p5*p1^2+432*(-27125097048+2271735171*n-\
67356864*n^2+1043946*n^3-9153*n^4+36*n^5)*p3^2*p1+108*(-187258464+7830054*n-\
84510*n^2+216*n^3)*p3*p1^4+324*(2035313040-132506070*n+2989290*n^2-34680*n^3+
180*n^4)*p4*p1^3+162*(-41820+240*n)*p4*p3*p2*p1^2+162*(-358919520+23816304*n-\
631134*n^2+8724*n^3-54*n^4)*p2^2*p1^3+162*(4708772400-382661884*n+11826564*n^2-\
176840*n^3+1104*n^4)*p2^3*p1+1296*(-267947697648+43837865276*n-20418114095/8*n^
2+1174342485/16*n^3-20074957/16*n^4+219303/16*n^5-1429/16*n^6+1/4*n^7)*p3*p1^2+
648*(42974921376-5666063439*n+278425032*n^2-28816053/4*n^3+459771/4*n^4-4479/4*
n^5+21/4*n^6)*p2*p1^3-666247680*p13+1944*(1272029853600-814158070310/3*n+
60544303250/3*n^2-4222169945/6*n^3+13483160*n^4-154530*n^5+2950/3*n^6-5/2*n^7)*
p4*p1+324/5*(-4180725600+397491060*n-12543480*n^2+168840*n^3-900*n^4)*p1^5+2592
*(-8769992999040+5040687790338*n-3958376281153/4*n^2+1412135760885/16*n^3-\
128873175991/32*n^4+1626237371/16*n^5-1518062*n^6+109591/8*n^7-2177/32*n^8+1/8*
n^9)*p3+3888*(3646940186240-4569499493050/3*n+2637344884063/12*n^2-354927377209
/24*n^3+4293368603/8*n^4-93909531/8*n^5+3952423/24*n^6-5649/4*n^7+23/4*n^8)*p2*
p1+324/5*(-1687200+13050*n-90*n^2)*p5*p1^4+1296*(-888614590080+275165580188*n-\
120634490265/4*n^2+12739966069/8*n^3-47513780*n^4+7209855/8*n^5-91883/8*n^6+187
/2*n^7-3/8*n^8)*p1^3+72*(-2605824+13824*n)*p3^2*p1^3+7776/5*(-4611816649440+
2599825922795/2*n-380939384855/3*n^2+270403551325/48*n^3-4072918105/32*n^4+
75804805/48*n^5-21555/2*n^6+875/24*n^7-5/96*n^8)*p5+7776/7*(-590901030720+
86090729844*n-4186356692*n^2+354111723/4*n^3-3662057/4*n^4+18081/4*n^5-35/4*n^6
)*p7+1296*(1847013653040-781523652489/2*n+229100612457/8*n^2-15639291813/16*n^3
+289342857/16*n^4-3109359/16*n^5+17829/16*n^6-9/4*n^7)*p3*p2+48*(-883224648+
32087016*n-454248*n^2+2592*n^3)*p3^3+7776*(-1646701056000+2493729604672*n-\
3416519365228/3*n^2+2643964179871/12*n^3-505507690127/24*n^4+3278921540/3*n^5-\
399459205/12*n^6+1927121/3*n^7-65451/8*n^8+781/12*n^9-1/4*n^10)*p1+7776/11*(-\
318558240+8215207*n-47047*n^2)*p11+648*(-620229064+29478519*n-992943/2*n^2+3675
*n^3-21/2*n^4)*p6*p2*p1+1944/5*(6306289500-294257325*n+3917725*n^2-23250*n^3+50
*n^4)*p5*p4+243*(-632005600+23642000*n-289600*n^2+1200*n^3)*p4^2*p1+162/5*(
1508400-20150*n+110*n^2)*p5*p2^3+432*(57588300-2532915/2*n+14355/2*n^2)*p9*p2+
1944/7*(54473160-661780*n+3220*n^2)*p7*p4+1296/5*(58942800-771995*n+4235*n^2)*
p6*p5+162/5*(17616240-639720*n+6120*n^2)*p2*p1^5+972*(-353150922848+58793491014
*n-3568700939*n^2+109628392*n^3-1962729*n^4+20294*n^5-96*n^6)*p2^2*p1+972*(
3125739840-173945340*n+3202830*n^2-27180*n^3+90*n^4)*p8*p1+432*(5787632592-\
279933843*n+4127298*n^2-27678*n^3+63*n^4)*p6*p3+27*(1024656-33096*n+360*n^2)*p2
^3*p1^3+1296*(109690558320-12349362284*n+1906354597/4*n^2-69938099/8*n^3+700959
/8*n^4-3549/8*n^5+7/8*n^6)*p6*p1+864*(-23928624720+3378951675/2*n-142877295/4*n
^2+593505/2*n^3-3465/4*n^4)*p9+162*(-9870912+356910*n-5070*n^2+24*n^3)*p3*p2^2*
p1^2+1296/5*(739380-10860*n+60*n^2)*p5*p3*p2*p1+3888/5*(174421934700-\
19431287605*n+5885517075/8*n^2-205720395/16*n^3+1846915/16*n^4-7965/16*n^5+15/
16*n^6)*p5*p2+324*(-37481962080+3347334975*n-214236537/2*n^2+1653387*n^3-24759/
2*n^4+30*n^5)*p3*p2^2+81/4*(-18332224+702336*n-7680*n^2)*p2^4*p1+648*(
199173990000-21098643975*n+725815395*n^2-11132070*n^3+89190*n^4-300*n^5)*p4*p3
[6, 3, 3, 2, 2, 2, 2]
186624*p2^4*p1^3-979776*p2^5*p1-5184*p2^3*p1^5+13824/5*(3811830380-336596595/2*
n+8964175/4*n^2-24175/2*n^3+85/4*n^4)*p5*p3*p1+10368/5*(-495326845+86771415/4*n
-2518845/8*n^2+7305/4*n^3-35/8*n^4)*p5*p2*p1^2+3456*(3463647936-337175055/2*n+
10278429/4*n^2-31353/2*n^3+147/4*n^4)*p6*p2*p1+5184*(128854971780-12157455035*n
+788464255/2*n^2-5820730*n^3+82765/2*n^4-105*n^5)*p4*p2*p1+3456*(-20326402284+
6761725889/4*n-405619539/8*n^2+2913493/4*n^3-39885/8*n^4+21/2*n^5)*p3*p2*p1^2+
1728*(4157084570-160833700*n+1892200*n^2-7200*n^3)*p4*p3*p2+1728*(-510010730+
20183305*n-256965*n^2+1140*n^3)*p4*p3*p1^2+1296*(-565530280+22403140*n-273620*n
^2+960*n^3)*p4*p2^2*p1+864*(62947640-2400040*n+30760*n^2-120*n^3)*p4*p2*p1^3+
1152*(-564992766+21369360*n-258096*n^2+960*n^3)*p3^2*p2*p1+864*(74730014-\
2797648*n+33144*n^2-96*n^3)*p3*p2^2*p1^2+288*(-7130970+241035*n-3039*n^2+12*n^3
)*p3*p2*p1^4+2304/5*(430230-5790*n+30*n^2)*p5*p3*p1^3+2592/5*(654770-8360*n+40*
n^2)*p5*p2^2*p1^2+864/5*(-52670+725*n-5*n^2)*p5*p2*p1^4+648*(-4268400+36000*n)*
p4^2*p2*p1+576*(-3849720+36960*n)*p4*p3^2*p1+10368/7*(-4535482+78736*n-392*n^2)
*p7*p2*p1^2+1728*(34319460-411390*n+1470*n^2)*p6*p4*p1+1152*(34509510-442680*n+
1680*n^2)*p6*p3*p2+1152*(-4153338+59220*n-252*n^2)*p6*p3*p1^2+13824/7*(33716452
-508480*n+2128*n^2)*p7*p3*p1+2592*(34445040-651120*n+3120*n^2)*p8*p2*p1+432*(-\
4317250+33480*n)*p4*p3*p2^2+144*(-25950+120*n)*p4*p3*p1^4+216*(641160-4320*n)*
p4*p2^3*p1+216*(-67840+480*n)*p4*p2^2*p1^3+288*(584016-4416*n)*p3^2*p2^2*p1+192
*(-57168+576*n)*p3^2*p2*p1^3+144*(-80748+432*n)*p3*p2^3*p1^2+72*(6636-48*n)*p3*
p2^2*p1^4+864*(-5114928+73584*n-336*n^2)*p6*p2^2*p1+576*(527688-8106*n+42*n^2)*
p6*p2*p1^3+5184/5*(33991150-356500*n+1000*n^2)*p5*p4*p2+5184/5*(-4035350+46175*
n-175*n^2)*p5*p4*p1^2+20736/7*(-22318861908+3584915824/3*n-37913869/2*n^2+
355229/3*n^3-553/2*n^4)*p7*p2+20736/7*(2773006488-149167550*n+5135739/2*n^2-\
17997*n^3+91/2*n^4)*p7*p1^2-27648*p5*p3*p2*p1^3+317952*p5*p3*p2^2*p1+388800*p5*
p4*p2*p1^2-2833920*p5*p4*p3*p1+580608*p6*p3*p2*p1^2-5443200*p6*p4*p2*p1-9068544
*p7*p3*p2*p1+6912*(1268935829712-229434319105*n+119814782567/8*n^2-7560754371/
16*n^3+130969787/16*n^4-1306433/16*n^5+6807/16*n^6-3/4*n^7)*p3*p1^2+3456*(-\
242541156984+37114808638*n-2124880862*n^2+61344323*n^3-2016647/2*n^4+9465*n^5-\
81/2*n^6)*p2*p1^3+20736*(-13924964869680+35846182584475/6*n-10658312376899/12*n
^2+1473330906047/24*n^3-35930309853/16*n^4+379489697/8*n^5-7326751/12*n^6+18627
/4*n^7-267/16*n^8)*p2*p1+2304*(139132178226-12727573824*n+789220407/2*n^2-\
5570739*n^3+77931/2*n^4-102*n^5)*p3^2*p1+1728*(154298519232-53094354707/4*n+
3122337937/8*n^2-21202823/4*n^3+265759/8*n^4-111/2*n^5)*p3*p2^2+864*(2859995160
-218084068*n+6217690*n^2-85020*n^3+486*n^4)*p2^2*p1^3+6912*(-520546960500+
126000840441/2*n-2584050966*n^2+373531473/8*n^3-3239691/8*n^4+13083/8*n^5-21/8*
n^6)*p6*p1+20736/5*(-722524391535+79648384765*n-68531113645/24*n^2+2118318335/
48*n^3-16134115/48*n^4+55225/48*n^5-25/16*n^6)*p5*p2+20736/5*(99285515835-\
20331124065/2*n+2912600245/8*n^2-96609725/16*n^3+812265/16*n^4-3155/16*n^5+5/16
*n^6)*p5*p1^2+3456*(-837608712540+357211240635/4*n-23898510745/8*n^2+165116475/
4*n^3-2257535/8*n^4+1515/2*n^5)*p4*p3+384*(61583850-2236932*n+29556*n^2-144*n^3
)*p3^2*p1^3+288*(-594289986+21684231*n-236979*n^2+540*n^3)*p3*p2^3+96/5*(296190
-1080*n)*p3*p1^6+108*(83263104-2979072*n+29376*n^2)*p2^4*p1+144*(-9630168+
338832*n-3456*n^2)*p2^3*p1^3+216/5*(806720-23920*n+240*n^2)*p2^2*p1^5+2304*(-\
25868453688+1250229792*n-33392289/2*n^2+92211*n^3-357/2*n^4)*p6*p3+1152*(-\
394091208+36279789/2*n-1128435/4*n^2+3927/2*n^3-21/4*n^4)*p6*p1^3+10368/5*(-\
28082623275+15647285375/12*n-124620175/8*n^2+904525/12*n^3-825/8*n^4)*p5*p4+
5184/5*(3985098455-2048059175/12*n+18136695/8*n^2-137185/12*n^3+185/8*n^4)*p5*
p2^2+1728/5*(48308195-7247865/4*n+199835/8*n^2-695/4*n^3+5/8*n^4)*p5*p1^4+1296*
(3950140400-167232200*n+2001400*n^2-8400*n^3)*p4^2*p1+432/5*(-4575800+110500*n-\
900*n^2)*p4*p1^5+5184*(-17614844880+1086411330*n-20294175*n^2+141270*n^3-345*n^
4)*p8*p1+864/5*(-313901040+20798495*n-1042965/2*n^2+6625*n^3-75/2*n^4)*p2*p1^5+
10368*(-5310207358760+3557562130975/3*n-278086983320/3*n^2+40184668055/12*n^3-\
754540015/12*n^4+2598785/4*n^5-14155/4*n^6+15/2*n^7)*p4*p1+6912*(-7308511058712
+3112538250701/2*n-900448366909/8*n^2+58267709347/16*n^3-967149227/16*n^4+
9025081/16*n^5-42971/16*n^6+15/4*n^7)*p3*p2+2304*(-238911255+9589635/2*n-44055/
2*n^2)*p9*p2+2304*(28874835-1237995/2*n+6435/2*n^2)*p9*p1^2+10368/7*(-257256510
+3158960*n-11480*n^2)*p7*p4+5184/7*(36543878-574308*n+2604*n^2)*p7*p2^2+1728/7*
(313390-3892*n+28*n^2)*p7*p1^4+1728*(-243769500+3810960*n-15840*n^2)*p8*p3+864*
(-3389760+60840*n-360*n^2)*p8*p1^3+62208000*p8*p3*p2-7464960*p8*p3*p1^2-9020160
*p8*p2^2*p1+219428352*p10*p2*p1+128*(467856-5184*n)*p3^3*p1^2+36*(627912-2592*n
)*p3*p2^4+432*(28532900-248400*n)*p4^2*p3+216*(360800-2400*n)*p4^2*p1^3+128*(-\
3948048+32832*n)*p3^3*p2+20736/25*(35660450-442925*n+1925*n^2)*p5^2*p1+2304/5*(
30814800-346560*n+960*n^2)*p5*p3^2+864/5*(-5073990+56025*n-225*n^2)*p5*p2^3+
6912/5*(-271688760+3233685*n-13125*n^2)*p6*p5+73094400*p8*p4*p1+221184*p7*p3*p1
^3+622080*p8*p2*p1^3-1231200*p5*p4*p2^2-1050624*p5*p3^2*p2+165888*p5*p3^2*p1^2+
77303808*p7*p5*p1+38361600*p7*p4*p2-4354560*p7*p4*p1^2+41948928*p6*p5*p2-\
5660928*p6*p5*p1^2+19837440*p6*p4*p3-2322432*p6*p3^2*p1-2225664*p6*p3*p2^2+
117089280*p9*p3*p1-15396480*p9*p2*p1^2-15552*p5*p2^3*p1^2+864*p5*p2^2*p1^4-4320
*p5*p4*p1^4-3628800*p5^2*p2*p1+217728*p6*p2^3*p1-24192*p6*p2^2*p1^3+120960*p6*
p4*p1^3-13824*p7*p2*p1^4+622080*p7*p2^2*p1^2-114048*p2*p1^7+864*(-22658095320+
1822701375*n-105768105/2*n^2+710277*n^3-7839/2*n^4)*p2^3*p1+129600*p4*p2*p1^5+
576*(2451106800-737078055/4*n+40904781/8*n^2-287955/4*n^3+4275/8*n^4-3/2*n^5)*
p3*p1^4+1728*(-16732795860+1462803380*n-45802915*n^2+688375*n^3-5255*n^4+15*n^5
)*p4*p1^3+41472*(5866372512000-8969152114606*n+24915116422721/6*n^2-\
19588312030189/24*n^3+79219917407*n^4-398045440495/96*n^5+3999480037/32*n^6-\
110717027/48*n^7+1298609/48*n^8-6173/32*n^9+21/32*n^10)*p1+5184*(1534494494984-\
797253305389/3*n+49444888946/3*n^2-5925542069/12*n^3+97469107/12*n^4-298461/4*n
^5+1239/4*n^6)*p2^2*p1+20736/5*(-214176820+5103670*n-24310*n^2)*p10*p1+4608*(
103621788270-7311909990*n+581377995/4*n^2-997260*n^3+9405/4*n^4)*p9+41472/11*(
1454953500-36921885*n+165165*n^2)*p11+41472/5*(17872852487490-20361978264675/4*
n+23880881275465/48*n^2-1034000181815/48*n^3+86718620755/192*n^4-233870435/48*n
^5+2689085/96*n^6-1825/24*n^7+5/64*n^8)*p5+41472/7*(2418132717000-354719044218*
n+101764182443/6*n^2-3994612699/12*n^3+35194943/12*n^4-143465/12*n^5+77/4*n^6)*
p7+256*(4167489636-151387488*n+1771200*n^2-6912*n^3)*p3^3+13824*(32401285371000
-75306300698873/4*n+59600220051353/16*n^2-5302299108675/16*n^3+943097986607/64*
n^4-2777859605/8*n^5+147173825/32*n^6-143355/4*n^7+9451/64*n^8-3/16*n^9)*p3+288
/35*(24796800-996660*n+8820*n^2)*p1^7+6912*(3702178506960-2477040932103/2*n+
150359257950*n^2-71695073439/8*n^3+2399831343/8*n^4-48898053/8*n^5+629679/8*n^6
-612*n^7+9/4*n^8)*p1^3+864*(525330-4680*n)*p4*p3*p2*p1^2+1728/5*(35743121160-\
4826195545*n+247476865*n^2-25964115/4*n^3+395645/4*n^4-3545/4*n^5+15/4*n^6)*p1^
5+6912/5*(-4631090+55880*n-200*n^2)*p5*p3*p2*p1-2566287360*p12*p1-504662400*p9*
p4-5930496*p10*p1^3-1415232000*p11*p2+169827840*p11*p1^2-782825472*p10*p3-\
486155520*p8*p5-449390592*p7*p6+58449600*p9*p2^2+95040*p9*p1^4-1492992*p7*p2^3+
16367616*p7*p3^2+36578304*p6^2*p1-1016064*p6*p1^5+5184*p5*p1^6+12192768*p5^2*p3
+5572800*p5*p4^2+145152*p5^2*p1^3+23328*p5*p2^4+16878274560*p13
[6, 3, 2, 2, 2, 2, 2, 2]
-55296*p1^9+69120*(-5162114916+258527878*n-3797808*n^2+20888*n^3-42*n^4)*p6*p2*
p1+41472*(920111860-256795769/6*n+1187637/2*n^2-8870/3*n^3+5*n^4)*p5*p2*p1^2+
34560*(-5265582990+402240845/2*n-4407245/2*n^2+7290*n^3)*p4*p3*p2+34560*(
978994960-83819185/2*n+1005865/2*n^2-1890*n^3)*p4*p3*p1^2+25920*(861028400-\
34292700*n+396120*n^2-1260*n^3)*p4*p2^2*p1+17280*(-153543300+6546910*n-82450*n^
2+300*n^3)*p4*p2*p1^3+23040*(869452976-32753986*n+358242*n^2-1032*n^3)*p3^2*p2*
p1+55296*(-5759545904+262601092*n-3263590*n^2+15066*n^3-20*n^4)*p5*p3*p1+69120*
(31773319862-5689917473/2*n+177126847/2*n^2-1225940*n^3+7549*n^4-12*n^5)*p3*p2*
p1^2+17280*(-139823768+10618011/2*n-115107/2*n^2+126*n^3)*p3*p2^2*p1^2+5760*(
23777030-1872635/2*n+21867/2*n^2-30*n^3)*p3*p2*p1^4+103680*(-171515832472+
50775828911/3*n-560021465*n^2+24017530/3*n^3-52910*n^4+120*n^5)*p4*p2*p1+12960*
(7220000-60000*n)*p4^2*p2*p1+11520*(6623400-53280*n)*p4*p3^2*p1+8640*(5611680-\
38880*n)*p4*p3*p2^2+11520*(-1563408+25053*n-105*n^2)*p6*p2*p1^3+20736*(-\
44442090+859355/2*n-1775/2*n^2)*p5*p4*p2+20736*(9650480-217375/2*n+475/2*n^2)*
p5*p4*p1^2+34560*(-58815960+686175*n-1995*n^2)*p6*p4*p1+23040*(-44977968+538566
*n-1806*n^2)*p6*p3*p2+23040*(9600612-133014*n+462*n^2)*p6*p3*p1^2+17280*(
8104488-112581*n+441*n^2)*p6*p2^2*p1+51840*(-56048928+1054188*n-4380*n^2)*p8*p2
*p1+276480/7*(-56740768+824124*n-3052*n^2)*p7*p3*p1+207360/7*(9688028-170562*n+
714*n^2)*p7*p2*p1^2-7879680*p5*p3*p2^2*p1+1290240*p5*p3*p2*p1^3-12960000*p5*p4*
p2*p1^2+70502400*p5*p4*p3*p1+181440000*p6*p4*p2*p1-27095040*p6*p3*p2*p1^2+
311869440*p7*p3*p2*p1+192*(3174-24*n)*p3*p2*p1^6+1440*(-26148+144*n)*p3*p2^2*p1
^4+3840*(178320-1344*n)*p3^2*p2*p1^3+5760*(-928920+5472*n)*p3^2*p2^2*p1+4320*(
185760-1440*n)*p4*p2^2*p1^3+4320*(-991440+6480*n)*p4*p2^3*p1+2880*(208980-2160*
n)*p4*p3*p1^4+3456*(227570-6285/2*n+25/2*n^2)*p5*p2*p1^4+864*(-27440+240*n)*p4*
p2*p1^5+2880*(153954-648*n)*p3*p2^3*p1^2+9216*(-1506780+19315*n-55*n^2)*p5*p3*
p1^3+10368*(-1299656+30885/2*n-105/2*n^2)*p5*p2^2*p1^2+20736*(-5020763412+
212279412*n-10621375/4*n^2+23765/2*n^3-75/4*n^4)*p5*p2^2+41472*(34936172460-\
1621526550*n+72977265/4*n^2-156695/2*n^3+325/4*n^4)*p5*p4+46080*(32143342140-\
1549843071*n+19542579*n^2-97440*n^3+168*n^4)*p6*p3+23040*(903252168-48932793*n+
1637139/2*n^2-4935*n^3+21/2*n^4)*p6*p1^3+17280*(31353239400-2588319171*n+
74532483*n^2-956574*n^3+4914*n^4)*p2^3*p1+17280*(-5363541648+449828311*n-\
13474846*n^2+180318*n^3-963*n^4)*p2^2*p1^3+3456*(890453480-73476767*n+2199291*n
^2-29722*n^3+162*n^4)*p2*p1^5+34560*(-185633995452+16037857054*n-1851209425/4*n
^2+11918997/2*n^3-136149/4*n^4+45*n^5)*p3*p2^2+11520*(-5372803744+481579093*n-\
62066187/4*n^2+456251/2*n^3-6075/4*n^4+3*n^5)*p3*p1^4+138240*(658418963160-\
83561354275*n+14258811931/4*n^2-516059061/8*n^3+4182157/8*n^4-15211/8*n^5+21/8*
n^6)*p6*p1+82944*(846935897150-283075274426/3*n+26887634343/8*n^2-799700477/16*
n^3+16982591/48*n^4-51625/48*n^5+55/48*n^6)*p5*p2+82944*(-144528910260+
96593089765/6*n-14898561887/24*n^2+505543607/48*n^3-3947843/48*n^4+13265/48*n^5
-5/16*n^6)*p5*p1^2+69120*(981936958540-105843307264*n+14047432255/4*n^2-\
92415455/2*n^3+1161595/4*n^4-675*n^5)*p4*p3+34560*(29210047840-2899377165*n+
101697100*n^2-1602020*n^3+11575*n^4-30*n^5)*p4*p1^3+6912*(-156959372+7684205*n-\
471205/4*n^2+1315/2*n^3-5/4*n^4)*p5*p1^4+25920*(-6002212400+265112600*n-3020000
*n^2+11400*n^3)*p4^2*p1+1728*(24870280-1075100*n+14360*n^2-60*n^3)*p4*p1^5+7680
*(-156733272+6395562*n-76650*n^2+264*n^3)*p3^2*p1^3+5760*(751312242-53447823/2*
n+537759/2*n^2-486*n^3)*p3*p2^3+384*(-3519684+267759/2*n-3255/2*n^2+6*n^3)*p3*
p1^6+2160*(-123288048+4347216*n-40176*n^2)*p2^4*p1+2880*(21705660-790182*n+7614
*n^2)*p2^3*p1^3+864*(-3389912+121632*n-1200*n^2)*p2^2*p1^5+576/7*(422660-13174*
n+126*n^2)*p2*p1^7+103680*(25162727424-1631652024*n+30639900*n^2-193752*n^3+420
*n^4)*p8*p1+414720/7*(27665314236-1479618693*n+22620430*n^2-129934*n^3+273*n^4)
*p7*p2+414720/7*(-4878257328+868717157/3*n-5174953*n^2+96796/3*n^3-70*n^4)*p7*
p1^2+384*(-27720+288*n)*p3^2*p1^5+720*(-778248+2592*n)*p3*p2^4+11379916800*p7*
p6+8640*(-38206200+295200*n)*p4^2*p3+2560*(5175000-33120*n)*p3^3*p2+2560*(-\
1090800+8640*n)*p3^3*p1^2+103680/7*(-47105352+716058*n-2898*n^2)*p7*p2^2+34560/
7*(-1732864+34818*n-154*n^2)*p7*p1^4+27648*(354590460-3902955*n+12831*n^2)*p6*
p5+1152*(246120-4305*n+21*n^2)*p6*p1^5+82944/5*(-60411680+682710*n-2030*n^2)*p5
^2*p1+9216*(-40368720+389098*n-850*n^2)*p5*p3^2+3456*(6370326-129465/2*n+405/2*
n^2)*p5*p2^3+1152/5*(-28140+785/2*n-5/2*n^2)*p5*p1^6+82944*(347587240-8543535*n
+35035*n^2)*p10*p1+46080*(309128490-12169575/2*n+49995/2*n^2)*p9*p2+46080*(-\
62843220+2964555/2*n-12375/2*n^2)*p9*p1^2+34560*(318089160-4770696*n+18120*n^2)
*p8*p3+17280*(10828800-239340*n+1020*n^2)*p8*p1^3+207360/7*(337684200-3993710*n
+12950*n^2)*p7*p4+69120*(340433616912-57128945741*n+3592260117*n^2-446823167/4*
n^3+7554541/4*n^4-69189/4*n^5+279/4*n^6)*p2*p1^3+249661440*p6*p5*p1^2-493516800
*p6*p4*p3-6912*p2^2*p1^7-7741440*p5^2*p1^3-48384*p6*p2*p1^5+1451520*p6*p2^2*p1^
3+967680*p6*p3*p1^4+1658880*p7*p2*p1^4-23592960*p7*p3*p1^3-51840*p5*p2^2*p1^4+
24883200*p5*p4*p2^2+21196800*p5*p3^2*p2-5529600*p5*p3^2*p1^2-14515200*p6*p4*p1^
3+77414400*p6*p3^2*p1+55157760*p6*p3*p2^2-6531840*p6*p2^3*p1+90574848*p5^2*p2*
p1-4196966400*p9*p3*p1+707097600*p9*p2*p1^2-2706048000*p8*p4*p1-1650585600*p8*
p3*p2+398131200*p8*p3*p1^2+289267200*p8*p2^2*p1-41472000*p8*p2*p1^3-2496282624*
p7*p5*p1-1020211200*p7*p4*p2+252979200*p7*p4*p1^2-26127360*p7*p2^2*p1^2-\
959164416*p6*p5*p2-27648*p5*p3*p1^5+466560*p5*p2^3*p1^2+1152*p5*p2*p1^6+518400*
p5*p4*p1^4+207360*(6076207806368-4221878487428/3*n+343253127500/3*n^2-\
8540079461/2*n^3+241474270/3*n^4-2382880/3*n^5+4000*n^6-15/2*n^7)*p4*p1+46080*(
-185699414104+17807246494*n-562178550*n^2+7533988*n^3-47052*n^4+96*n^5)*p3^2*p1
+103680*(-1831475644688+991251420140/3*n-21244677823*n^2+1938510658/3*n^3-\
10403871*n^4+90940*n^5-352*n^6)*p2^2*p1+138240*(-1582937861832+305321297150*n-\
170853631351/8*n^2+11415171259/16*n^3-201188043/16*n^4+1918209/16*n^5-9007/16*n
^6+3/4*n^7)*p3*p1^2+138240*(8090126529132-3498682186719/2*n+1020214071717/8*n^2
-65475676835/16*n^3+1049936799/16*n^4-9222993/16*n^5+39919/16*n^6-11/4*n^7)*p3*
p2+829440*(-5866372512000+135794949617152/15*n-63752076898846/15*n^2+
3399986195947/4*n^3-10099461893299/120*n^4+179859831443/40*n^5-16520004347/120*
n^6+10153229/4*n^7-3473911/120*n^8+4715/24*n^9-5/8*n^10)*p1+414720*(
14795342802000-97624620657712/15*n+19925333847371/20*n^2-568353321781/8*n^3+
21339382497/8*n^4-2267417633/40*n^5+28413203/40*n^6-61837/12*n^7+69/4*n^8)*p2*
p1+4320*(-1447200+14400*n)*p4^2*p1^3-7472424960*p10*p2*p1+5120*(-5289183360+
187913250*n-1982322*n^2+6120*n^3)*p3^3+6912*(-62315730960+9824771402*n-\
597377250*n^2+18412008*n^3-313908*n^4+2920*n^5-12*n^6)*p1^5+17280*(-1166510+
9720*n)*p4*p3*p2*p1^2+165888*(-19336797600120+5585528591489*n-1654481554835/3*n
^2+1145655717329/48*n^3-15653431941/32*n^4+239756639/48*n^5-212541/8*n^6+385/6*
n^7-5/96*n^8)*p5+276480*(-33506214094080+19711895554866*n-78978788323407/20*n^2
+5670207184769/16*n^3-503826831323/32*n^4+5821071261/16*n^5-184192811/40*n^6+
33599*n^7-4017/32*n^8+1/8*n^9)*p3+138240*(-4187244595680+1479566584274*n-\
768864463491/4*n^2+98969758031/8*n^3-1785163153/4*n^4+76880553/8*n^5-1008925/8*
n^6+963*n^7-27/8*n^8)*p1^3+1152/7*(-140045920+10921015*n-308028*n^2+3934*n^3-21
*n^4)*p1^7+27648*(7553564-81459*n+215*n^2)*p5*p3*p2*p1+829440/11*(-1862340480+
46746700*n-188188*n^2)*p11+829440/7*(-2760298981440+1230083538460/3*n-\
19635127477*n^2+1503857789/4*n^3-37242037/12*n^4+139349/12*n^5-203/12*n^6)*p7+
553512960*p10*p1^3+69120*p4*p1^7-1505433600*p9*p2^2+13685760000*p9*p4-22809600*
p9*p1^4-466560*p5*p2^4-434995200*p7*p3^2+622080*p8*p1^5+12036003840*p8*p5+
37324800*p7*p2^3+27993600*p2^5*p1+497664*p2^3*p1^5-8398080*p2^4*p1^3-1219276800
*p6^2*p1-9216*p7*p1^6-108864000*p5*p4^2-238436352*p5^2*p3+37437603840*p11*p2+
92386344960*p12*p1+21033492480*p10*p3-9057484800*p11*p1^2-450087321600*p13+
92160*(-125358793560+8901503325*n-691500645/4*n^2+2190375/2*n^3-9405/4*n^4)*p9
[6, 2, 2, 2, 2, 2, 2, 2, 2]
-9216*p2*p1^9+1105920*p2^2*p1^7-1018967040*p2^5*p1-38320128*p2^3*p1^5+5160960*(
2077664400-216619473/2*n+6499353/4*n^2-17619/2*n^3+63/4*n^4)*p6*p2*p1+4128768*(
2294239248-644388229/6*n+5225015/4*n^2-33731/6*n^3+25/4*n^4)*p5*p3*p1+3096576*(
-430199360+84881167/4*n-2405573/8*n^2+5755/4*n^3-15/8*n^4)*p5*p2*p1^2+2580480*(
1935778460-150250815/2*n+1596735/2*n^2-2430*n^3)*p4*p3*p2+430080*(444060-2160*n
)*p3^2*p2^2*p1+286720*(-120420+720*n)*p3^2*p2*p1^3+215040*(-88209+324*n)*p3*p2^
3*p1^2+107520*(22563-108*n)*p3*p2^2*p1^4+64512*(34860-360*n)*p4*p2*p1^5+645120*
(-2326905+14580*n)*p4*p3*p2^2+215040*(-180145+1620*n)*p4*p3*p1^4+322560*(495180
-3240*n)*p4*p2^3*p1+322560*(-133560+1080*n)*p4*p2^2*p1^3+688128*(986502-11377*n
+25*n^2)*p5*p3*p1^3+774144*(749430-17685/2*n+45/2*n^2)*p5*p2^2*p1^2+258048*(-\
202088+5835/2*n-15/2*n^2)*p5*p2*p1^4+1548288*(-5067730+100415/2*n-175/2*n^2)*p5
*p4*p1^2+2211840*(-5268294+97146*n-378*n^2)*p7*p2*p1^2+2580480*(25560990-273735
*n+735*n^2)*p6*p4*p1+1720320*(17761002-202230*n+630*n^2)*p6*p3*p2+1720320*(-\
5060454+66570*n-210*n^2)*p6*p3*p1^2+1290240*(-3886218+54621*n-189*n^2)*p6*p2^2*
p1+860160*(1062474-17955*n+63*n^2)*p6*p2*p1^3+1548288*(17429860-303345/2*n+525/
2*n^2)*p5*p4*p2+3870720*(25213452-489852*n+1980*n^2)*p8*p2*p1+2949120*(24826272
-351468*n+1260*n^2)*p7*p3*p1+1290240*(70351002-5575491/2*n+58599/2*n^2-54*n^3)*
p3*p2^2*p1^2+430080*(-16228664+1402101/2*n-16149/2*n^2+18*n^3)*p3*p2*p1^4+
7741440*(61958271018-6388056978*n+438960455/2*n^2-3200860*n^3+41895/2*n^4-45*n^
5)*p4*p2*p1+5160960*(-12842636785+4898241665/4*n-321326171/8*n^2+2270899/4*n^3-\
27153/8*n^4+9/2*n^5)*p3*p2*p1^2+2580480*(-453736910+40619865/2*n-473965/2*n^2+
810*n^3)*p4*p3*p1^2+1935360*(-369583920+15282990*n-175770*n^2+540*n^3)*p4*p2^2*
p1+1290240*(85578740-3952020*n+50940*n^2-180*n^3)*p4*p2*p1^3+1720320*(-\
368655680+14199906*n-148146*n^2+360*n^3)*p3^2*p2*p1+14336*(-5481+36*n)*p3*p2*p1
^6+967680*(-3366300+25200*n)*p4^2*p2*p1+860160*(-2986900+20400*n)*p4*p3^2*p1+
1083801600*p6*p3*p2*p1^2-5689958400*p6*p4*p2*p1-11147673600*p7*p3*p2*p1-\
51609600*p5*p3*p2*p1^3+232243200*p5*p3*p2^2*p1+406425600*p5*p4*p2*p1^2-\
1806336000*p5*p4*p3*p1+418037760*p2^4*p1^3+129024*(-19297880+980310*n-14570*n^2
+60*n^3)*p4*p1^5+516096*(96388512-63806267/12*n+706807/8*n^2-5695/12*n^3+5/8*n^
4)*p5*p1^4+1720320*(-458837820+54306007/2*n-1934835/4*n^2+5789/2*n^3-21/4*n^4)*
p6*p1^3+3096576*(-12177097380+6818854945/12*n-49662485/8*n^2+298445/12*n^3-175/
8*n^4)*p5*p4+1548288*(1869665168-324585369/4*n+8112303/8*n^2-17445/4*n^3+45/8*n
^4)*p5*p2^2+7741440*(-9542613168+642272048*n-12322365*n^2+78562*n^3-165*n^4)*p8
*p1+4423680*(-9775663128+534358980*n-16596621/2*n^2+47565*n^3-189/2*n^4)*p7*p2+
28672*(31740-240*n)*p3^2*p1^5+3072*(-8680+120*n)*p4*p1^7+573440/3*(-2076300+
10800*n)*p3^3*p2+215040*(-13230540+513216*n-4860*n^2)*p2^3*p1^3+6144*(-647780+
27168*n-276*n^2)*p2*p1^7+6193152*(-278776292610+95270690156/3*n-9231483323/8*n^
2+835537855/48*n^3-1958181/16*n^4+5675/16*n^5-5/16*n^6)*p5*p2+6193152*(
54682545040-12928777425/2*n+6337959257/24*n^2-224365849/48*n^3+587555/16*n^4-\
5615/48*n^5+5/48*n^6)*p5*p1^2+5160960*(-321869518005+423976209895/12*n-\
9484905155/8*n^2+186832925/12*n^3-758905/8*n^4+405/2*n^5)*p4*p3+2580480*(-\
12412962246+4006652203/3*n-50643110*n^2+2533445/3*n^3-6145*n^4+15*n^5)*p4*p1^3+
3440640*(66830119176-6674721559*n+434140213/2*n^2-2909465*n^3+34727/2*n^4-30*n^
5)*p3^2*p1+2580480*(63626257003-22637280255/4*n+1339384713/8*n^2-8650269/4*n^3+
95643/8*n^4-27/2*n^5)*p3*p2^2+1290240*(-12047588262+1045007784*n-62649207/2*n^2
+408321*n^3-4131/2*n^4)*p2^3*p1+1290240*(2481267610-226403625*n+7294809*n^2-\
101628*n^3+540*n^4)*p2^2*p1^3+258048*(-512830990+48187652*n-3264287/2*n^2+24085
*n^3-267/2*n^4)*p2*p1^5+15482880*(-1922200035276+459730043287*n-116242664735/3*
n^2+17994507311/12*n^3-116333105/4*n^4+3477295/12*n^5-17185/12*n^6+5/2*n^7)*p4*
p1+10321920*(-2505966474744+3318909685243/6*n-329249450945/8*n^2+64619853721/48
*n^3-350663015/16*n^4+3071169/16*n^5-12831/16*n^6+3/4*n^7)*p3*p2+10321920*(
533412130836-324368079005/3*n+191690012843/24*n^2-13514789959/48*n^3+248361515/
48*n^4-799223/16*n^5+3629/16*n^6-1/4*n^7)*p3*p1^2+5160960*(-124733331684+
67189136828/3*n-1514894388*n^2+151821967/3*n^3-1814679/2*n^4+8577*n^5-69/2*n^6)
*p2*p1^3+30965760*(-4391704288800+9888334795901/5*n-12457862373743/40*n^2+
275501136511/12*n^3-85792561663/96*n^4+2355918881/120*n^5-60337217/240*n^6+
14655/8*n^7-193/32*n^8)*p2*p1+28672*(3636078-337203/2*n+4335/2*n^2-6*n^3)*p3*p1
^6+161280*(56878416-2067606*n+18630*n^2)*p2^4*p1+322560*(960400-8400*n)*p4^2*p1
^3+2064384*(-129884580+1283331*n-3801*n^2)*p6*p5+86016*(-280770+5901*n-21*n^2)*
p6*p1^5+6193152/5*(26074860-256950*n+630*n^2)*p5^2*p1+688128*(15433740-131290*n
+250*n^2)*p5*p3^2+258048*(-2706804+53595/2*n-135/2*n^2)*p5*p2^3+1290240*(-\
6721704+160644*n-660*n^2)*p8*p1^3+2211840*(-124511310+1392210*n-4410*n^2)*p7*p4
+1105920*(19153098-295974*n+1134*n^2)*p7*p2^2+368640*(1401162-31878*n+126*n^2)*
p7*p1^4+6193152*(-145718430+3635775*n-15015*n^2)*p10*p1+3440640*(-118056510+
4729725/2*n-19305/2*n^2)*p9*p2+3440640*(31505760-1550835/2*n+6435/2*n^2)*p9*p1^
2+2580480*(-118276785+1747020*n-6600*n^2)*p8*p3-129024*p5*p2*p1^6+147603456000*
p9*p3*p1-516096000*p5*p3^2*p2+172032000*p5*p3^2*p1^2+1720320*p5*p3*p1^5-\
17418240*p5*p2^3*p1^2+2903040*p5*p2^2*p1^4+89413632000*p8*p4*p1-17031168000*p8*
p3*p1^2-11496038400*p8*p2^2*p1+71366344704*p7*p5*p1+29262643200*p7*p4*p2+
1238630400*p7*p3*p1^3+1254113280*p7*p2^2*p1^2-139345920*p7*p2*p1^4+23540170752*
p6*p5*p2+12644352000*p6*p4*p3-2408448000*p6*p3^2*p1-1625702400*p6*p3*p2^2-\
81285120*p6*p2^2*p1^3+5419008*p6*p2*p1^5-2341011456*p5^2*p2*p1-609638400*p5*p4*
p2^2-22579200*p5*p4*p1^4+278970531840*p10*p2*p1-33210777600*p9*p2*p1^2+86016/5*
(52530-1925/2*n+5/2*n^2)*p5*p1^6+645120*(14635075-98700*n)*p4^2*p3+243855360*p6
*p2^3*p1-60211200*p6*p3*p1^4+632217600*p6*p4*p1^3-7846723584*p6*p5*p1^2-\
9754214400*p7*p4*p1^2+51093504000*p8*p3*p2+2554675200*p8*p2*p1^3+573440/3*(
584100-3600*n)*p3^3*p1^2+4423680*(2115149388-133539276*n+4979103/2*n^2-15603*n^
3+63/2*n^4)*p7*p1^2+512*(1227-12*n)*p3*p1^8+53760*(332667-972*n)*p3*p2^4+
3440640*(-11226590424+546404138*n-13611801/2*n^2+32725*n^3-105/2*n^4)*p6*p3+
1935360*(2389774800-108279950*n+1197350*n^2-4200*n^3)*p4^2*p1+573440*(86403720-\
3738582*n+42702*n^2-120*n^3)*p3^2*p1^3+430080*(-296317116+21453093/2*n-208413/2
*n^2+162*n^3)*p3*p2^3+10321920*(-226388868570+59746259041/2*n-1322684468*n^2+
196510951/8*n^3-1603441/8*n^4+5677/8*n^5-7/8*n^6)*p6*p1+64512*(2982888-121806*n
+1206*n^2)*p2^2*p1^5+61931520*(1649917269000-89920531029991/35*n+55033260911551
/45*n^2-35859249505207/144*n^3+18151086921709/720*n^4-3983608879517/2880*n^5+
125666383321/2880*n^6-1667757359/2016*n^7+1534733/160*n^8-12499/192*n^9+13/64*n
^10)*p1+7741440*(602509823172-113128763745*n+7592272574*n^2-961729253/4*n^3+
15948351/4*n^4-140775/4*n^5+537/4*n^6)*p2^2*p1+860160*(2621423427-1041306831/4*
n+73871873/8*n^2-577725/4*n^3+7555/8*n^4-3/2*n^5)*p3*p1^4+20643840*(
9721167318135-46362835237813/8*n+113165310042217/96*n^2-10314508598707/96*n^3+
1859079464683/384*n^4-10859865805/96*n^5+276546683/192*n^6-998881/96*n^7+4777/
128*n^8-1/32*n^9)*p3+8847360*(880508759130-266189331529/2*n+25850920365/4*n^2-\
498570535/4*n^3+2066397/2*n^4-15267/4*n^5+21/4*n^6)*p7+6881280*(42426444060-\
12208316835/4*n+475282665/8*n^2-1516515/4*n^3+6435/8*n^4)*p9+61931520/11*(
669278610-16696108*n+68068*n^2)*p11+1146880/3*(1918898100-68496210*n+684810*n^2
-1800*n^3)*p3^3+1290240*(653835-4860*n)*p4*p3*p2*p1^2+516096*(26015111220-\
13536859301/3*n+913887739/3*n^2-125446387/12*n^3+2358305/12*n^4-7843/4*n^5+33/4
*n^6)*p1^5+512/3*(133632-5526*n+54*n^2)*p1^9+2064384*(-3500606+34431*n-75*n^2)*
p5*p3*p2*p1+10321920*(1302879642660-4804185482249/10*n+328625445012/5*n^2-\
35915653445/8*n^3+1380998599/8*n^4-158126659/40*n^5+2180449/40*n^6-428*n^7+3/2*
n^8)*p1^3+12288*(106013250-10077425*n+349623*n^2-5308*n^3+30*n^4)*p1^7+12386304
*(5854398244695-13755194249041/8*n+49708163268089/288*n^2-727350504241/96*n^3+
180586138895/1152*n^4-77099551/48*n^5+4847647/576*n^6-615/32*n^7+5/384*n^8)*p5+
13063680*p5*p2^4+2370816000*p5*p4^2+1536*p5*p1^8-1254113280*p7*p2^3+260112384*
p5^2*p1^3+5202247680*p5^2*p3+12386304000*p7*p3^2-277948661760*p7*p6+33381089280
*p6^2*p1-86016*p6*p1^7-307327426560*p8*p5+49816166400*p9*p2^2-387459072000*p9*
p4-30996725760*p10*p1^3-619934515200*p10*p3+383232245760*p11*p1^2-1149696737280
*p11*p2-3120605429760*p12*p1+1845043200*p9*p1^4-85155840*p8*p1^5+3096576*p7*p1^
6+12602445004800*p13
[5, 5, 5, 2]
13500*p8*p1^3-825000*p9*p1^2-2000*p1^7+375/16*(4160-96*n)*p4^2*p2*p1+75/2*(-\
38400+720*n)*p5*p4*p2+125/2*(-36960+672*n)*p6*p4*p1-4500*p5*p4^2+375/4*(-10800+
216*n)*p8*p2*p1-6750*p8*p4*p1+250*p4^3*p1+125*(-3097920+99120*n-1008*n^2)*p6*p2
*p1+100*(-3768300+93600*n)*p5*p3*p1+75*(205200-3240*n)*p5*p2*p1^2+125/2*(-\
4720800+156720*n-1440*n^2)*p4*p3*p2+375/8*(289120-11760*n+144*n^2)*p4*p2^2*p1+
125/4*(-15360+288*n)*p4*p2*p1^3+125/3*(136800-2160*n)*p3^2*p2*p1+125/2*(278160-\
5760*n)*p4*p3*p1^2+375/2*(-222228640+46626880/3*n-351356*n^2+11888/3*n^3-20*n^4
)*p4*p2*p1+125*(20067600-878040*n+8640*n^2)*p3*p2*p1^2+750*(54553132800-\
63068819191/3*n+24218661187/9*n^2-1790496827/12*n^3+140201851/36*n^4-155804/3*n
^5+16345/36*n^6-25/12*n^7)*p2*p1+375/7*(496440-10080*n)*p7*p4+150*(185900-2860*
n)*p10*p1+250/3*(188100-2970*n)*p9*p2+125/2*(249480-2160*n)*p8*p3-180000*p5*p3^
2-819000*p5^2*p1+125/8*(-62880+960*n)*p4^2*p3+50*(428400-5040*n)*p6*p5+250*(
1161023780-111175456*n+3135412*n^2-29372*n^3+140*n^4)*p6*p1+150*(1785468900-\
165778150*n+4596270*n^2-44720*n^3+150*n^4)*p5*p2+150*(-153841740+10548510*n-\
182160*n^2+450*n^3)*p5*p1^2+125*(2142252120-198093820*n+5330440*n^2-47060*n^3+
200*n^4)*p4*p3+125/2*(16759200-827672*n+9792*n^2-40*n^3)*p4*p1^3+250/3*(-\
241236420+15063540*n-217440*n^2+300*n^3)*p3^2*p1+125/2*(-283700400+17575800*n-\
317880*n^2+2160*n^3)*p3*p2^2+125/6*(-1288320+31680*n)*p3*p1^4+125/4*(22623200-\
1149840*n+24840*n^2-216*n^3)*p2^3*p1+125/4*(-1414560+43920*n-432*n^2)*p2^2*p1^3
+25/4*(91200-1440*n)*p2*p1^5+125/3*(171360-2016*n)*p6*p1^3+75*(56846580-2651180
*n+30480*n^2-100*n^3)*p5*p4+75/2*(-3536400+109800*n-1080*n^2)*p5*p2^2+375/8*(-\
5285744+659432/3*n-2864*n^2+40/3*n^3)*p4^2*p1-60000*p3^2*p1^3+3000*p4*p1^5+375/
2*(25645524-1141194*n+10944*n^2-30*n^3)*p8*p1+750/7*(36477000-1551060*n+15120*n
^2)*p7*p2+750/7*(-2314200+60480*n)*p7*p1^2+250/3*(46746000-1819440*n+10080*n^2)
*p6*p3+30000*p4*p3^2*p1+81000*p5*p4*p1^2-720000*p7*p3*p1-144000*p5*p1^4-1500*p4
^2*p1^3+375*(16438682224-9379260083/3*n+3500981839/18*n^2-29676979/6*n^3+505508
/9*n^4-2455/6*n^5+25/18*n^6)*p4*p1+250*(23842122000-4460456360*n+269236790*n^2-\
6504760*n^3+65590*n^4-300*n^5)*p3*p2+250*(-3119189040+432811690*n-18624720*n^2+
282710*n^3-1200*n^4)*p3*p1^2+375/2*(-3982029200+1634654420/3*n-24073506*n^2+
1393522/3*n^3-5294*n^4+30*n^5)*p2^2*p1+125*(425321520-43506112*n+1333308*n^2-\
14288*n^3+60*n^4)*p2*p1^3+25/2*(-39261840+2939560*n-54960*n^2+200*n^3)*p1^5+500
*(-137581516800+149584837145/2*n-162334454965/12*n^2+12795581185/12*n^3-\
238250675/6*n^4+8374735/12*n^5-67525/12*n^6+125/6*n^7)*p3+1500*(-27897053184+
1478081911169/36*n-214111863941/12*n^2+4145322927187/1296*n^3-39106206289/144*n
^4+5002876619/432*n^5-18188603/72*n^6+1282105/432*n^7-3325/144*n^8+125/1296*n^9
)*p1+40500*p8*p5+45500*p12*p1+250*(-12371998464+3436769781*n-1908567787/6*n^2+
24937179/2*n^3-636758/3*n^4+2955/2*n^5-25/6*n^6)*p1^3+82500*p9*p4+1500/11*(-\
2482480+60060*n)*p11+250/27*(-4028400+64800*n)*p3^3+500/3*(-232312080+29277435/
2*n-224730*n^2+825/2*n^3)*p9+1500/7*(-7027580560+915768735*n-37201920*n^2+
533505*n^3-2100*n^4)*p7+300*(-64383999680+16662133895*n-17261173895/12*n^2+
208640045/4*n^3-2423645/3*n^4+19775/4*n^5-125/12*n^6)*p5-840000*p13
[5, 5, 4, 3]
46800*p11*p2+39600*p10*p3-2700*p8*p3*p2+300*p4^2*p3*p2+66000*p9*p4-4800*p7*p4*
p2+9600*p7*p2*p1^2-4200*p6*p4*p3+25200*p5*p3*p2*p1+16200*p8*p5+7200*p5*p4*p1^2-\
1800*p5*p4^2+8400*p6*p3*p1^2+12000*p3^3*p2+24000*p4*p3^2*p1-132000*p9*p1^2-\
624000*p7*p3*p1-151200*p5^2*p1+15*(-126880+2400*n)*p5*p4*p2+75/8*(4704-64*n)*p4
^2*p2*p1+75/2*(-17784+144*n)*p8*p2*p1+25*(-34776+336*n)*p6*p4*p1+50/3*(-103320+
1764*n)*p6*p3*p2-576000*p5*p3^2+25/2*(-10912+192*n)*p4*p2*p1^3+25*(309000-5784*
n+24*n^2)*p4*p3*p1^2+50*(-6383160+185556*n-1176*n^2)*p6*p2*p1+40*(-7168200+
150615*n-315*n^2)*p5*p3*p1+30*(215560-4080*n)*p5*p2*p1^2+25*(-18302800+746176*n
-10332*n^2+56*n^3)*p4*p3*p2+25/4*(13200-288*n)*p4*p3*p2^2+50*(34095064-1482196*
n+18972*n^2-56*n^3)*p3*p2*p1^2+33600*p7*p6+50/3*(651960-12960*n)*p3^2*p2*p1+25/
2*(-16080+288*n)*p3*p2^2*p1^2+75*(-498499632+34370496*n-2263700/3*n^2+7680*n^3-\
112/3*n^4)*p4*p2*p1+75/4*(663120-20992*n+192*n^2)*p4*p2^2*p1+25/4*(-184560+3864
*n-24*n^2)*p4^2*p3+75/7*(-75040+1344*n)*p7*p2^2+100/3*(853380-17820*n)*p9*p2+25
*(995760-14094*n+54*n^2)*p8*p3+150/7*(1309280-26992*n+112*n^2)*p7*p4+25*(
18691640-731704*n+9112*n^2-48*n^3)*p4*p1^3+100*(2600395308-240854859*n+6499346*
n^2-58653*n^3+238*n^4)*p6*p1+75*(49555800-1897398*n+12834*n^2-36*n^3)*p8*p1-\
7200*p5*p1^4-48000*p3^2*p1^3+1200*p3*p2*p1^4+60*(242220-1320*n)*p10*p1+20*(
1157520-13860*n)*p6*p5+300/7*(-2567600+47152*n-112*n^2)*p7*p1^2+30*(152490800-\
7231140*n+93760*n^2-520*n^3)*p5*p4+15*(-15383200+606240*n-6120*n^2)*p5*p2^2+100
/3*(135111900-6097539*n+66276*n^2-357*n^3)*p6*p3+75/4*(-8763600+287288*n-3304*n
^2+16*n^3)*p4^2*p1+60*(4768592140-1454435000/3*n+15935920*n^2-646210/3*n^3+1130
*n^4)*p5*p2+300/7*(112233100-17005184/3*n+80136*n^2-784/3*n^3)*p7*p2+50/3*(
87528-1008*n)*p6*p1^3+25/3*(-892320+23112*n-72*n^2)*p3*p1^4+25/2*(60075360-\
3303840*n+60552*n^2-432*n^3)*p2^3*p1+5/2*(38560-960*n)*p2*p1^5+25/6*(1506240-\
56160*n+648*n^2)*p3*p2^3+25*(-867581440+67182022*n-1766058*n^2+21182*n^3-114*n^
4)*p3*p2^2+200/3*(-616215600+41292570*n-755865*n^2+3795*n^3)*p9+60*(-264802520+
15347850*n-214990*n^2+940*n^3)*p5*p1^2+50*(5592354680-554551212*n+34430877/2*n^
2-219233*n^3+3263/2*n^4-5*n^5)*p4*p3+100/3*(-534438840+33647790*n-546750*n^2+
2760*n^3)*p3^2*p1+300*(134285485824-104143284801/2*n+81238246915/12*n^2-\
3501937958/9*n^3+21960503/2*n^4-1486148/9*n^5+17363/12*n^6-115/18*n^7)*p2*p1+50
*(754267744-202552148/3*n+1878380*n^2-69280/3*n^3+112*n^4)*p2*p1^3+25/2*(-\
1588720+59136*n-576*n^2)*p2^2*p1^3+600/11*(-6966960+180609*n-429*n^2)*p11+100*(
-28492473600+7549562795*n-3904781209/6*n^2+69918113/3*n^3-2246795/6*n^4+9214/3*
n^5-10*n^6)*p1^3+600*(-69742632960+205853451601/2*n-90118733227/2*n^2+
590525918851/72*n^3-25809854585/36*n^4+4654473865/144*n^5-112688627/144*n^6+
1534327/144*n^7-12305/144*n^8+25/72*n^9)*p1+200*(-343244079360+189114004154*n-\
421832779571/12*n^2+70067055245/24*n^3-360572330/3*n^4+41178961/16*n^5-1429051/
48*n^6+8915/48*n^7-25/48*n^8)*p3+75*(-9538844640+1335698454*n-187520738/3*n^2+
1314602*n^3-43378/3*n^4+76*n^5)*p2^2*p1+150*(39259398480-7449838288*n+928878729
/2*n^2-36123824/3*n^3+860245/6*n^4-2938/3*n^5+10/3*n^6)*p4*p1+100*(60456960880-\
71261713783/6*n+9460095811/12*n^2-138437999/6*n^3+2020025/6*n^4-2661*n^5+115/12
*n^6)*p3*p2+600/7*(-17924546640+2448960311*n-326135264/3*n^2+5774762/3*n^3-\
41041/3*n^4+70/3*n^5)*p7+100*(-6687402560+871580263*n-69793609/2*n^2+521878*n^3
-6763/2*n^4+5*n^5)*p3*p1^2+120*(-161277916800+85870881675/2*n-46848934465/12*n^
2+937311715/6*n^3-2963065*n^4+81235/3*n^5-1175/12*n^6)*p5+100/27*(-17755200+
487620*n-1620*n^2)*p3^3+5*(-40102400+2287720*n-41560*n^2+240*n^3)*p1^5-1200*p4*
p3*p2*p1^2-1008000*p13
[5, 5, 4, 2, 2]
-1015200*p8*p5-358400*p7*p6+200*(5152397556-400225562*n+9509228*n^2-84834*n^3+
288*n^4)*p4*p2*p1+400/3*(-615513976+38153377*n-726057*n^2+5423*n^3-15*n^4)*p3*
p2*p1^2+100/3*(451560-12492*n+108*n^2)*p3*p2^2*p1^2+100/9*(-29952+432*n)*p3*p2*
p1^4+100/3*(732456-19848*n+144*n^2)*p4*p2*p1^3+400/9*(-9643500+284760*n-2160*n^
2)*p3^2*p2*p1+1600*p3*p1^6+100*(422892-5400*n)*p8*p2*p1+400/7*(-23632+336*n)*p7
*p2*p1^2+200/3*(1040928-16800*n)*p6*p4*p1+200/3*(118765500-3899154*n+36300*n^2-\
66*n^3)*p4*p3*p2+200/3*(-12134060+409442*n-3612*n^2+10*n^3)*p4*p3*p1^2+50*(-\
8228400+248256*n-2160*n^2)*p4*p2^2*p1+80*(-8672680+258180*n-1980*n^2)*p5*p2*p1^
2+400/3*(90027840-3232488*n+25200*n^2)*p6*p2*p1+320/3*(121640325-4686300*n+
42975*n^2-75*n^3)*p5*p3*p1+400/9*(350280-4536*n)*p6*p3*p2+400/9*(-49896+504*n)*
p6*p3*p1^2+40*(761640-11520*n)*p5*p4*p2+40*(-93920+1320*n)*p5*p4*p1^2-1496000*
p9*p4+25*(-88752+1440*n)*p4^2*p2*p1+200/9*(-98640+1440*n)*p4*p3^2*p1+50/3*(-\
25200+432*n)*p4*p3*p2^2+1600/21*(742770-10920*n)*p7*p3*p1+800/3*(-433586661120+
337542219773/4*n-42551961283/8*n^2+1068300001/8*n^3-1349179*n^4+52373/8*n^5-85/
8*n^6)*p3*p2+800/3*(65382787440-123779829529/12*n+13196888215/24*n^2-299505409/
24*n^3+380924/3*n^4-4895/8*n^5+25/24*n^6)*p3*p1^2+200*(79162185360-11734050862*
n+569829196*n^2-11479590*n^3+105816*n^4-432*n^5)*p2^2*p1+400/3*(-10339921872+
1284091247*n-53704105*n^2+952959*n^3-7843*n^4+30*n^5)*p2*p1^3+800*(-\
935410095072+4499661787049/12*n-1214983941347/24*n^2+72379284187/24*n^3-\
1031732977/12*n^4+28749793/24*n^5-205307/24*n^6+115/4*n^7)*p2*p1+160*(
3956629740-1012926745/3*n+8888255*n^2-246125/3*n^3+275*n^4)*p5*p1^2+400/3*(-\
42729720900+4182882392*n-120848841*n^2+1164453*n^3-4609*n^4+5*n^5)*p4*p3+200/3*
(-531082716+36224582*n-744776*n^2+5462*n^3-20*n^4)*p4*p1^3+800/9*(5869300320-\
458482080*n+10873770*n^2-94710*n^3+300*n^4)*p3^2*p1+200/3*(6030969360-398725398
*n+7505592*n^2-57666*n^3+144*n^4)*p3*p2^2+200/9*(57024552-2913900*n+37800*n^2-\
60*n^3)*p3*p1^4+100/3*(-586031880+31170420*n-518076*n^2+3240*n^3)*p2^3*p1+100/3
*(54515640-2606388*n+39132*n^2-216*n^3)*p2^2*p1^3+20/3*(-4490080+167280*n-1440*
n^2)*p2*p1^5+400*(-309254334000+188520388117/3*n-25736403055/6*n^2+743572277/6*
n^3-4688909/3*n^4+51197/6*n^5-115/6*n^6)*p4*p1+400/27*(811620-17280*n)*p3^2*p1^
3+100/9*(-3798360+108540*n-972*n^2)*p3*p2^3+800/3*(-24967716984+2668765708*n-\
89107060*n^2+1052828*n^3-3416*n^4)*p6*p1+160*(-35329124520+3411040320*n-\
95952530*n^2+864950*n^3-2760*n^4)*p5*p2+10/3*(-55520+960*n)*p4*p1^5+64800*p5*p4
^2+28800*p5^2*p3-4000*p4^3*p1+16000*p3^3*p1^2-48000*p3^3*p2+32*(1025400-14400*n
)*p5^2*p1+160/9*(804600-10800*n)*p5*p3^2+50/3*(1356480-22584*n+24*n^2)*p4^2*p3+
100/3*(-34452+216*n)*p8*p1^3+400/7*(-10563000+184912*n-112*n^2)*p7*p4+200/7*(
137760-2016*n)*p7*p2^2+160/3*(-10322760+143640*n)*p6*p5+12800*p7*p1^4+160*(-\
6108960+128700*n)*p10*p1+800/9*(-4896540+65340*n)*p9*p2+800/9*(534600-7920*n)*
p9*p1^2+200/3*(-7906680+121014*n-54*n^2)*p8*p3+25/3*(8592-96*n)*p4^2*p1^3+200*(
-662250780+35390814*n-463266*n^2+732*n^3)*p8*p1+800/7*(-803681550+34628412*n-\
307160*n^2+308*n^3)*p7*p2+800/7*(79230690-9940588/3*n+30856*n^2-140/3*n^3)*p7*
p1^2+800/9*(-1078470750+47986176*n-442008*n^2+672*n^3)*p6*p3+400/9*(-7959504+
236376*n-1008*n^2)*p6*p1^3+80*(-1221007200+56669410*n-605200*n^2+1590*n^3)*p5*
p4+40*(86427600-2473020*n+19980*n^2)*p5*p2^2+40/3*(669960-12960*n)*p5*p1^4+50*(
137512080-5759944*n+64456*n^2-192*n^3)*p4^2*p1-1200*p4^2*p3*p2+180000*p8*p4*p1+
10800*p8*p3*p2-3600*p8*p3*p1^2+76800*p7*p5*p1+19200*p7*p4*p2-6400*p7*p4*p1^2+
88000*p9*p3*p1-1600*p4*p3*p1^4+52800*p5*p3*p1^3+44800*p6*p4*p3-686400*p10*p3+
62400*p11*p1^2+100/3*(4344-72*n)*p4*p3*p2*p1^2+160/3*(-38790+540*n)*p5*p3*p2*p1
-2184000*p12*p1+400*p4^2*p3*p1^2-9600*p5*p4*p3*p1+1600*(444609285120-\
2652773382351/4*n+2651347251173/9*n^2-23529514841003/432*n^3+347207551043/72*n^
4-31313920553/144*n^5+730042075/144*n^6-61106*n^7+57935/144*n^8-275/216*n^9)*p1
+22848000*p13+1600/7*(133533079680-54396175673/3*n+2304803459/3*n^2-11367174*n^
3+120526/3*n^4-70/3*n^5)*p7+20/63*(364560-10080*n)*p1^7+320*(1133893761000-\
3636686283515/12*n+651222779545/24*n^2-8150516985/8*n^3+47882650/3*n^4-2108135/
24*n^5+1525/8*n^6)*p5+800/81*(138680100-4408020*n+34020*n^2)*p3^3+1600/9*(
4839634800-318651465*n+5147505*n^2-9240*n^3)*p9+1600/3*(2284550442720-\
3810176845412/3*n+5670641688857/24*n^2-923164185065/48*n^3+2217652450/3*n^4-\
211164811/16*n^5+1630407/16*n^6-9595/24*n^7+25/48*n^8)*p3+40/3*(1224343440-\
380295700/3*n+4283120*n^2-163220/3*n^3+200*n^4)*p1^5+800/3*(228178264032-\
826773750431/12*n+57941991163/8*n^2-8358718649/24*n^3+100294877/12*n^4-2470231/
24*n^5+16085/24*n^6-25/12*n^7)*p1^3+1600/11*(57177120-1441869*n+429*n^2)*p11-\
187200*p11*p2
[5, 5, 3, 3, 2]
-4050*p8*p2^2*p1-12600*p6*p4*p2*p1-1965600*p11*p2-1228500*p12*p1+32400*p8*p3*p2
-475200*p10*p3+101250*p8*p4*p1+49500*p9*p2^2+118800*p10*p2*p1+44100*p6^2*p1+
129600*p7*p4*p2+50400*p6*p4*p3+75600*p6*p5*p2-5400*p5*p4*p2^2+45900*p5*p4^2-\
3600*p4^2*p3*p2-2250*p4^3*p1-1435500*p9*p4-604800*p6*p3*p1^2-1555200*p7*p2*p1^2
-186300*p8*p1^3-656100*p8*p5+18117000*p9*p1^2-955800*p5*p4*p1^2+29808000*p7*p3*
p1-2246400*p5*p3*p2*p1-144000*p3^3*p2-738000*p4*p3^2*p1+8964000*p5*p3^2-907200*
p7*p6+15535800*p5^2*p1+75/2*(664080-12672*n)*p3*p2^2*p1^2+225/8*(-116640+2800*n
-16*n^2)*p4^2*p2*p1+75/4*(-115680+2112*n)*p4*p3*p2^2+75/8*(12480-288*n)*p4*p2^3
*p1+45*(1329000-26520*n+120*n^2)*p5*p4*p2+75/2*(-84840+1680*n)*p6*p2^2*p1+225/2
*(590040-10980*n+36*n^2)*p8*p2*p1+75*(674940-13860*n+84*n^2)*p6*p4*p1+50*(
919800-12096*n)*p6*p3*p2+150*(-430320216+24601764*n-444228*n^2+2784*n^3)*p3*p2*
p1^2+225*(4430694720-1082826670/3*n+31920704/3*n^2-512491/3*n^3+4780/3*n^4-19/3
*n^5)*p4*p2*p1+150*(85202040-3591896*n+54516*n^2-364*n^3)*p6*p2*p1+120*(
79861050-2153160*n+9360*n^2)*p5*p3*p1+90*(-6007800+148860*n-540*n^2)*p5*p2*p1^2
+75*(153784920-6078664*n+80568*n^2-464*n^3)*p4*p3*p2+75*(-5287560+102816*n-576*
n^2)*p4*p3*p1^2+225/4*(-13385160+1727672/3*n-9504*n^2+184/3*n^3)*p4*p2^2*p1+50*
(-9078480+199080*n-360*n^2)*p3^2*p2*p1+450/7*(-10237500+197568*n-1008*n^2)*p7*
p4+900/7*(41362020-1200528*n+6048*n^2)*p7*p1^2+100*(-1005326280+44326506*n-\
493794*n^2+2688*n^3)*p6*p3+15/2*(-115200+2160*n)*p5*p2^3+60*(-9689400+134190*n-\
630*n^2)*p6*p5+75*(6792423000-568155908*n+16765072*n^2-230668*n^3+1376*n^4)*p3*
p2^2+450*p4^2*p2^2*p1+1576800*p5*p1^4-19800*p4*p1^5+2844000*p3^2*p1^3-158400*p3
*p2*p1^4+1800*p2^2*p1^5+180*(-3879150+64350*n-330*n^2)*p10*p1+10800*p1^7+75*(-\
7178220+75816*n-216*n^2)*p8*p3+225/7*(1171800-22176*n)*p7*p2^2+75/2*(391440-\
8112*n+48*n^2)*p4*p2*p1^3+75/4*(1104720-19296*n+96*n^2)*p4^2*p3+100*(4502147310
-315703890*n+6339555*n^2-44910*n^3+45*n^4)*p3^2*p1+180*(-34093271850+3649941230
*n-132257380*n^2+4371795/2*n^3-17375*n^4+95/2*n^5)*p5*p2+150*(-38984433300+
3947387188*n-126990239*n^2+1758732*n^3-13771*n^4+50*n^5)*p4*p3+180*(2632099650-\
192012315*n+8360025/2*n^2-33765*n^3+135/2*n^4)*p5*p1^2+75*(-267200784+13737848*
n-215910*n^2+1828*n^3-6*n^4)*p4*p1^3+1800/7*(120711110520-33983178663/2*n+
3169878453/4*n^2-31572387/2*n^3+591507/4*n^4-525*n^5)*p7+75/2*(-709752480+
52516852*n-1545048*n^2+23948*n^3-168*n^4)*p2^3*p1+15/2*(-1416000+39120*n-240*n^
2)*p2*p1^5+150*(-7129707480+801931314*n-30926318*n^2+557423*n^3-5110*n^4+19*n^5
)*p2*p1^3+1800/11*(55135080-1447446*n+6006*n^2)*p11+300*(187729890048-\
108299860971/2*n+21295294133/4*n^2-945016385/4*n^3+21395861/4*n^4-67409*n^5+907
/2*n^6-5/4*n^7)*p1^3+100/9*(120220200-2533680*n+6480*n^2)*p3^3+25*(18781920-\
530208*n+3168*n^2)*p3*p1^4+75/2*(38133888-1885832*n+30720*n^2-184*n^3)*p2^2*p1^
3+360*(1009707098400-276467293390*n+78235779280/3*n^2-8866952515/8*n^3+
284634535/12*n^4-548345/2*n^5+19105/12*n^6-25/8*n^7)*p5+450*(-263317559160+
159331754375/3*n-32781305171/9*n^2+1352199565/12*n^3-33775681/18*n^4+122633/6*n
^5-2521/18*n^6+5/12*n^7)*p4*p1+225*(69285169080-32212984496/3*n+5349112796/9*n^
2-49767880/3*n^3+2547341/9*n^4-3024*n^5+143/9*n^6)*p2^2*p1+900*(-819363690240+
1982176114795/6*n-1635360934751/36*n^2+25711792649/9*n^3-6806770865/72*n^4+
134750377/72*n^5-1789835/72*n^6+15691/72*n^7-35/36*n^8)*p2*p1+25200*p6*p2*p1^3+
48600*p5*p2^2*p1^2+25704000*p13+11700*p4^2*p1^3-1800*p4*p2^2*p1^3+18000*p3^2*p2
^2*p1+100*(-8627850+196515*n-495*n^2)*p9*p2+225*(-488804130+23519625*n-663903/2
*n^2+2451*n^3-9/2*n^4)*p8*p1+900/7*(-921212460+50028342*n-850374*n^2+4872*n^3)*
p7*p2+50*(-2630880+39564*n-252*n^2)*p6*p1^3+90*(-1153312650+55048980*n-795135*n
^2+5970*n^3-15*n^4)*p5*p4+45*(155234100-6996980*n+99360*n^2-460*n^3)*p5*p2^2+
225/4*(97855980-11780140/3*n+68614*n^2-1868/3*n^3+2*n^4)*p4^2*p1+25/2*(-\
19215360+694800*n-6912*n^2)*p3*p2^3+300*(-20189794170+4154289895/2*n-276870923/
4*n^2+1027236*n^3-36253/4*n^4+77/2*n^5)*p6*p1+200*(4502698200-1235449215/4*n+
49634145/8*n^2-177705/4*n^3+495/8*n^4)*p9+75/16*(1702320-70560*n+864*n^2)*p2^4*
p1+25/4*(-46080+864*n)*p2^3*p1^3+600*(2026689799680-4563791616619/4*n+
5233817535743/24*n^2-451462496645/24*n^3+19745037325/24*n^4-235800073/12*n^5+
1639963/6*n^6-52775/24*n^7+25/3*n^8)*p3+15*(561459960-42055380*n+937890*n^2-\
8940*n^3+30*n^4)*p1^5+300*(-392154605640+79952554807*n-16787167606/3*n^2+
359431357/2*n^3-9217210/3*n^4+59253/2*n^5-400/3*n^6)*p3*p2+300*(50608446120-\
7437785457*n+723271551/2*n^2-7559547*n^3+151857/2*n^4-300*n^5)*p3*p1^2+1800*(
395208253440-14186744215855/24*n+76183886715457/288*n^2-4773179780947/96*n^3+
584213399207/128*n^4-128716068809/576*n^5+904176523/144*n^6-15926795/144*n^7+
1523347/1152*n^8-6065/576*n^9+25/576*n^10)*p1+86400*p4*p3*p2*p1^2
[5, 5, 3, 2, 2, 2]
1344000*p3^3*p2+450*(-5171544+86346*n-90*n^2)*p8*p2*p1+2400/7*(-5163480+60480*n
)*p7*p3*p1+200*(-4258380+51744*n)*p6*p3*p2+200*(497364-4536*n)*p6*p3*p1^2+150*(
527520-7560*n)*p6*p2^2*p1+100*(-49224+588*n)*p6*p2*p1^3+180*(-5957180+101340*n-\
300*n^2)*p5*p4*p2+180*(731620-11820*n+60*n^2)*p5*p4*p1^2+90*(-53880+720*n)*p5*
p2^2*p1^2+225/2*(750864-13896*n+40*n^2)*p4^2*p2*p1+100*(440160-5760*n)*p4*p3^2*
p1+1800/7*(553308-8064*n)*p7*p2*p1^2+79200*p10*p1^3+360*(6459988500-894401930/3
*n+3624460*n^2-59140/3*n^3+30*n^4)*p5*p4+600*(-666702120+28849709*n-361872*n^2+
1435*n^3)*p6*p2*p1+300*(-6835416+113484*n-420*n^2)*p6*p4*p1+75/2*(-48240+864*n)
*p4*p2^3*p1+75/2*(5936-96*n)*p4*p2^2*p1^3-1382400*p7*p1^4+900*(-29313230592+
7607164496/3*n-145573977/2*n^2+929527*n^3-11767/2*n^4+43/3*n^5)*p4*p2*p1+600*(
4112775544-887825944/3*n+7116508*n^2-228056/3*n^3+340*n^4)*p3*p2*p1^2+480*(-\
754205700+29482350*n-309750*n^2+1200*n^3)*p5*p3*p1+360*(82945310-3081760*n+
35820*n^2-140*n^3)*p5*p2*p1^2+300*(-789564340+81277828/3*n-283980*n^2+3152/3*n^
3)*p4*p3*p2+300*(88347740-2968828*n+31268*n^2-160*n^3)*p4*p3*p1^2+225*(91305360
-3286424*n+38800*n^2-160*n^3)*p4*p2^2*p1+150*(-9226312+897064/3*n-3516*n^2+56/3
*n^3)*p4*p2*p1^3+200*(84056760-2393700*n+16740*n^2)*p3^2*p2*p1+150*(-8946920+
253008*n-1872*n^2)*p3*p2^2*p1^2+50*(717648-12288*n)*p3*p2*p1^4+75*(357440-5568*
n)*p4*p3*p2^2-21600*p5*p4*p2*p1^2+172800*p5*p4*p3*p1+277200*p6*p4*p2*p1+3600/7*
(-543572820+25583859*n-340179*n^2+1680*n^3)*p7*p1^2+900*(3854244600-220560294*n
+3564099*n^2-17574*n^3+9*n^4)*p8*p1+200*(67674348-2468851*n+24066*n^2-119*n^3)*
p6*p1^3+180*(-734372500+27923280*n-324480*n^2+1200*n^3)*p5*p2^2+16800*p6*p1^5+
300*(3440518296-791509256/3*n+40152449/6*n^2-230033/3*n^3+3115/6*n^4-5/3*n^5)*
p4*p1^3+50*(78316440-2301840*n+19008*n^2)*p3*p2^3+60*(-7184160+178860*n-780*n^2
)*p5*p1^4+225*(-828049200+34559344*n-448724*n^2+2744*n^3-4*n^4)*p4^2*p1+240*(
58680720-891870*n+3150*n^2)*p6*p5+720*(41479020-931755*n+2475*n^2)*p10*p1+400*(
42146280-1554795/2*n+2475/2*n^2)*p9*p2+400*(-4761900+166815/2*n-495/2*n^2)*p9*
p1^2+300*(44475840-577836*n+396*n^2)*p8*p3-2822400*p5*p3*p1^3+720*(178541537640
-55609847935/3*n+2425836185/4*n^2-24014255/3*n^3+196605/4*n^4-215/2*n^5)*p5*p2-\
3931200*p11*p1^2+720*(-22438850340+6284195870/3*n-258983695/4*n^2+2564995/3*n^3
-22255/4*n^4+25/2*n^5)*p5*p1^2+31449600*p11*p2+150*(4482680400-313921146*n+
7724046*n^2-88422*n^3+450*n^4)*p2^3*p1+75*(-5438240+85616*n-176*n^2)*p4^2*p3+75
/2*(-75632+1256*n-8*n^2)*p4^2*p1^3+30*(49108240-7413520/3*n+37760*n^2-560/3*n^3
)*p2*p1^5+75/4*(-9048960+276480*n-2592*n^2)*p2^4*p1+25*(924720-25632*n+216*n^2)
*p2^3*p1^3+144*(-6878400+106650*n-450*n^2)*p5^2*p1+150*(452232-4626*n+18*n^2)*
p8*p1^3+1800/7*(56400120-909888*n+2688*n^2)*p7*p4+900/7*(-4610760+68544*n)*p7*
p2^2+15/2*(-66080+960*n)*p2^2*p1^5+900*(-390373482240+189481682585/3*n-\
21293596765/6*n^2+92443461*n^3-3866039/3*n^4+30352/3*n^5-229/6*n^6)*p2^2*p1+
1200*(127294410348-14471288678*n+1079854279/2*n^2-16633687/2*n^3+111839/2*n^4-\
259/2*n^5)*p6*p1+400*(-31772914080+2633459650*n-68728980*n^2+722300*n^3-3090*n^
4)*p3^2*p1+600*(209180335920-63550050614/3*n+1959482797/3*n^2-23035226/3*n^3+
132533/3*n^4-290/3*n^5)*p4*p3+200/3*(-7801920+157140*n-180*n^2)*p3^2*p1^3+15*(
673520-12560*n+80*n^2)*p4*p1^5+400*(5760286560-258225184*n+2782962*n^2-10178*n^
3)*p6*p3+300*(-34786298960+8036034796/3*n-66424748*n^2+2175212/3*n^3-3356*n^4)*
p3*p2^2+100*(-439397568+26253620*n-462420*n^2+2560*n^3)*p3*p1^4-518400*p5^2*p3+
3600/7*(4838515920-238567063*n+3201975*n^2-12992*n^3)*p7*p2+54000*p4^3*p1+150*(
-502903664+95808718/3*n-717518*n^2+23006/3*n^3-38*n^4)*p2^2*p1^3+80*(-3744000+
43200*n)*p5*p3^2+30*(426600-6480*n)*p5*p2^3-1411200*p6^2*p1+1200*(1972335640320
-2412592762823/6*n+983239942189/36*n^2-2391710684/3*n^3+401048071/36*n^4-167423
/2*n^5+2605/9*n^6)*p3*p2-8400*p6*p4*p1^3+33600*p4^2*p3*p2-7200*p4^2*p3*p1^2-\
5400*p4^2*p2^2*p1+600*p4^2*p2*p1^3+129600*p5^2*p2*p1-974400*p6*p4*p3-1663200*p6
*p5*p2+1200*(-321330029040+325856300443/6*n-12824861905/4*n^2+259325537/3*n^3-\
14272039/12*n^4+53215/6*n^5-175/6*n^6)*p3*p1^2+151200*p6*p5*p1^2-3110400*p7*p5*
p1-1641600*p7*p4*p2+259200*p7*p4*p1^2+93600*p5*p2*p1^4+3600*(3986138162304-\
9934201317115/6*n+8471437229047/36*n^2-182757560443/12*n^3+4032323005/8*n^4-\
442527535/48*n^5+4824931/48*n^6-31373/48*n^7+305/144*n^8)*p2*p1+600*(
56869886304-47443355135/6*n+14144012401/36*n^2-55517719/6*n^3+1067755/9*n^4-875
*n^5+115/36*n^6)*p2*p1^3+1800*(1421047884240-908983846957/3*n+66610087849/3*n^2
-8730453049/12*n^3+47162803/4*n^4-407227/4*n^5+5483/12*n^6-5/6*n^7)*p4*p1+76800
*p4*p3*p1^4+7200*(-1778437140480+5373930358933/2*n-14634598554295/12*n^2+
16765474152001/72*n^3-1040130718561/48*n^4+76602961205/72*n^5-8360732797/288*n^
6+33436067/72*n^7-333439/72*n^8+2035/72*n^9-25/288*n^10)*p1-2400*p4*p2*p1^5+240
*(474360-5760*n)*p5*p3*p2*p1-216000*p3^2*p2^2*p1-288000*p3^3*p1^2+24000*p3^2*p2
*p1^3+150*(-52496+768*n)*p4*p3*p2*p1^2+48600*p8*p2^2*p1+800*(-24810786000+
3369990855/2*n-124385085/4*n^2+306735/2*n^3-495/4*n^4)*p9+400/9*(-758106000+
20661480*n-141480*n^2)*p3^3+60*(-7620251040+2699937950/3*n-111378925/3*n^2+
2027900/3*n^3-16895/3*n^4+50/3*n^5)*p1^5+10/7*(-3984960+131880*n-840*n^2)*p1^7-\
5400*p8*p2*p1^3+2400*(-9487484173440+5395628587366*n-12435384277769/12*n^2+
6368613422825/72*n^3-266087833385/72*n^4+1413157037/18*n^5-31554133/36*n^6+
394835/72*n^7-1175/72*n^8)*p3+198000*p9*p2*p1^2-1584000*p9*p3*p1+1440*(-\
4974777007200+2745670204365/2*n-1157707116560/9*n^2+125702043505/24*n^3-\
7124486035/72*n^4+21220565/24*n^5-278485/72*n^6+25/4*n^7)*p5-3801600*p10*p2*p1+
7200/7*(-629324055360+88676853034*n-8021949929/2*n^2+71103711*n^3-982261/2*n^4+
1190*n^5)*p7+1200*(-1018732090752+649343102821/2*n-110460893257/3*n^2+
142955329841/72*n^3-2062031293/36*n^4+136802275/144*n^5-1377859/144*n^6+8275/
144*n^7-25/144*n^8)*p1^3+78624000*p12*p1+64800*p8*p3*p1^2-302400*p8*p3*p2-\
4050000*p8*p4*p1+26532000*p9*p4+13939200*p10*p3-849600*p5*p4^2+64800*p5*p4*p2^2
+20563200*p7*p6+23198400*p8*p5-594000*p9*p2^2-124800*p3*p1^6+2400*p2*p1^7-\
616896000*p13+7200/11*(-318558240+8189181*n-21021*n^2)*p11
[5, 5, 2, 2, 2, 2, 2]
16000*(-5002080780+1189667575/3*n-10050932*n^2+299405/3*n^3-380*n^4)*p3*p2*p1^2
+24000*(28957560216-2626123413*n+75778683*n^2-866279*n^3+4417*n^4-8*n^5)*p4*p2*
p1+16000/9*(18553140-551700*n+3780*n^2)*p3^2*p1^3+163200*p5*p1^6+48000/7*(-\
998970+12600*n)*p7*p2*p1^2+8000*(8433432-134904*n+336*n^2)*p6*p4*p1+16000/3*(-\
1021440+11760*n)*p6*p3*p1^2+4000*(-647640+7560*n)*p6*p2^2*p1+8000/3*(142968-\
1512*n)*p6*p2*p1^3+4000*(68360-960*n)*p4*p3*p2*p1^2+4800*(5055540-81144*n+180*n
^2)*p5*p4*p2+4800*(-1345596+23700*n-60*n^2)*p5*p4*p1^2+6400/3*(144900-1800*n)*
p5*p3*p1^3+2400*(89460-1080*n)*p5*p2^2*p1^2+8000*(-136037460+15085904/3*n-49820
*n^2+460/3*n^3)*p4*p3*p1^2+6000*(-104288880+3393726*n-33612*n^2+102*n^3)*p4*p2^
2*p1+4000*(19109352-663882*n+6640*n^2-22*n^3)*p4*p2*p1^3+16000/3*(-99428940+
2671260*n-18540*n^2)*p3^2*p2*p1+4000*(13964860-363840*n+2520*n^2)*p3*p2^2*p1^2+
12499200*p5*p4^2+576000*p5^2*p1^3+3000*(-733824+12456*n-24*n^2)*p4^2*p2*p1+8000
/3*(-379800+4800*n)*p4*p3^2*p1+11520000*p5^2*p3+75264000*p6^2*p1+2000*(-261480+
3600*n)*p4*p3*p2^2-274560000*p10*p3+262080000*p11*p1^2-786240000*p11*p2-840000*
p4^3*p1-2970240000*p12*p1-476784000*p9*p4-13728000*p10*p1^3+440000*p9*p1^4+
11880000*p9*p2^2+2000/3*(-17160+240*n)*p4*p3*p1^4+1000*(44280-648*n)*p4*p2^3*p1
-7200*p8*p1^5-592012800*p8*p5-645120000*p7*p6+16000*(755131230-33276096*n+
382200*n^2-1176*n^3)*p6*p2*p1+12800*(864288810-35292680*n+358350*n^2-1150*n^3)*
p5*p3*p1+9600*(-125090085+4961019*n-53220*n^2+165*n^3)*p5*p2*p1^2+8000*(
707120340-22249140*n+207052*n^2-580*n^3)*p4*p3*p2+6400*(-573900+7200*n)*p5*p3*
p2*p1+12000*(6467004-96606*n+54*n^2)*p8*p2*p1+32000*(836586543816-1138463514875
/4*n+631716658459/18*n^2-301214502073/144*n^3+536098189/8*n^4-173092405/144*n^5
+194365/16*n^6-4835/72*n^7+25/144*n^8)*p1^3+64000/7*(6633900-75600*n)*p7*p3*p1+
64000*(7008696185400-8071243649233/2*n+28218304803077/36*n^2-605316109234/9*n^3
+33416672041/12*n^4-4091318993/72*n^5+13786475/24*n^6-226235/72*n^7+575/72*n^8)
*p3+192000/11*(290990700-7366359*n+15015*n^2)*p11+96000*(-3037384162440+
5185935205215/4*n-1141615038863/6*n^2+611893424347/48*n^3-5200801313/12*n^4+
376233877/48*n^5-3729869/48*n^6+5191/12*n^7-55/48*n^8)*p2*p1+864000*p5*p4*p2*p1
^2-3840000*p5*p4*p3*p1-8064000*p6*p4*p2*p1+800*(-18780+180*n)*p5*p2*p1^4+19200*
(24842957259-5160335317/2*n+177675457/2*n^2-2455045/2*n^3+6565*n^4-25/2*n^5)*p5
*p1^2+16000/3*(3954720-45360*n)*p6*p3*p2+16000*(-176268219060+53673426739/3*n-\
1613163739/3*n^2+5746753*n^3-85055/3*n^4+140/3*n^5)*p4*p3+8000*(-4772032464+
1297367818/3*n-39111943/3*n^2+159299*n^3-2417/3*n^4+5/3*n^5)*p4*p1^3+32000/3*(
31500092340-2765161800*n+74490185*n^2-735870*n^3+2845*n^4)*p3^2*p1+8000*(
30193555140-2298458305*n+53584940*n^2-517213*n^3+2010*n^4)*p3*p2^2+8000/3*(
817165620-63902749*n+1616440*n^2-15485*n^3+50*n^4)*p3*p1^4+4000*(-4676315340+
330839487*n-7537095*n^2+73161*n^3-297*n^4)*p2^3*p1+4000/3*(-2438940+61860*n-360
*n^2)*p3*p2*p1^4+4000*(773852988-55298044*n+1284284*n^2-12160*n^3+48*n^4)*p2^2*
p1^3+800*(-124169220+25522543/3*n-184139*n^2+4457/3*n^3-5*n^4)*p2*p1^5+200*(
2120-24*n)*p4*p2*p1^5+1000*(-10272+144*n)*p4*p2^2*p1^3+48000*(-1177341185928+
1045881607729/4*n-480950924161/24*n^2+16361337403/24*n^3-131433605/12*n^4+
1990981/24*n^5-7333/24*n^6+5/12*n^7)*p4*p1+32000*(-1567497641580+1941986512405/
6*n-264130211365/12*n^2+2505667063/4*n^3-16135899/2*n^4+637825/12*n^5-1865/12*n
^6)*p3*p2+32000*(295743499740-324404880415/6*n+125682436553/36*n^2-1227952841/
12*n^3+26071315/18*n^4-118025/12*n^5+1025/36*n^6)*p3*p1^2+24000*(339832949160-\
230392757227/4*n+26924698693/8*n^2-701514301/8*n^3+4466467/4*n^4-59437/8*n^5+
181/8*n^6)*p2^2*p1+16000*(-60648349896+113769421259/12*n-12834065489/24*n^2+
111946995/8*n^3-728223/4*n^4+28529/24*n^5-85/24*n^6)*p2*p1^3+19200*(-\
150625577295+31365044867/2*n-1001850513/2*n^2+6067829*n^3-31920*n^4+60*n^5)*p5*
p2+32000*(-118338612042+14208317501*n-556831856*n^2+8587173*n^3-48517*n^4+91*n^
5)*p6*p1+1000*(191664-3560*n+8*n^2)*p4^2*p1^3+6400/3*(3069360-36000*n)*p5*p3^2+
800*(-380700+4860*n)*p5*p2^3+19200*(-51432810+1220505*n-2145*n^2)*p10*p1+32000/
3*(-39178755+1328481/2*n-1485/2*n^2)*p9*p2+32000/3*(8689527-368775/2*n+495/2*n^
2)*p9*p1^2+8000*(-40541400+481428*n-180*n^2)*p8*p3+4000*(-1376604+24210*n-18*n^
2)*p8*p1^3+48000/7*(-50076810+730968*n-1680*n^2)*p7*p4+24000/7*(4317390-52920*n
)*p7*p2^2+6400*(-54701640+862848*n-2520*n^2)*p6*p5+800/3*(-26040+168*n)*p6*p1^5
+3840*(9016020-155250*n+450*n^2)*p5^2*p1-19200000*p3^3*p2-3200*p4*p1^7+24000*(-\
4125764484+250647099*n-8261127/2*n^2+15357*n^3-9/2*n^4)*p8*p1+2000*(3688080-\
53168*n+80*n^2)*p4^2*p3+96000/7*(-4317664680+208363365*n-2576217*n^2+8400*n^3)*
p7*p2+96000/7*(757591380-40961123*n+601755*n^2-1960*n^3)*p7*p1^2+32000/3*(-\
5128014780+226055200*n-2297064*n^2+7280*n^3)*p6*p3+9600*(-5729325525+257600441*
n-2866611*n^2+12985*n^3-15*n^4)*p5*p4+4800*(669447255-23877045*n+245826*n^2-765
*n^3)*p5*p2^2+1600*(21459663-868445*n+9150*n^2-25*n^3)*p5*p1^4+6000*(932183184-\
39185624*n+446286*n^2-1992*n^3+2*n^4)*p4^2*p1+400*(-3170400+314078/3*n-896*n^2+
10/3*n^3)*p4*p1^5+4000/3*(-72161100+1824660*n-12960*n^2)*p3*p2^3+800/9*(375660-\
7200*n)*p3*p1^6+2000/3*(-1877400+44604*n-324*n^2)*p2^3*p1^3+200*(306640-6180*n+
36*n^2)*p2^2*p1^5+400/21*(-44520+504*n)*p2*p1^7+32000*p3^2*p1^5+48384000*p6*p5*
p2-16128000*p6*p5*p1^2+17920000*p6*p4*p3+123552000*p10*p2*p1+35200000*p9*p3*p1-\
7920000*p9*p2*p1^2+102600000*p8*p4*p1+4320000*p8*p3*p2-1440000*p8*p3*p1^2-\
972000*p8*p2^2*p1+216000*p8*p2*p1^3+138240000*p7*p5*p1+34560000*p7*p4*p2+500*(
10350720-255960*n+1944*n^2)*p2^4*p1+6400000*p3^3*p1^2+16000/3*(-131938506+
6247696*n-78960*n^2+224*n^3)*p6*p1^3+8000/7*(199710-2520*n)*p7*p1^4-960000*p3^2
*p2*p1^3+160000*p4^2*p3*p1^2-48000*p5*p4*p1^4-5184000*p5^2*p2*p1+896000*p6*p4*
p1^3+4320000*p3^2*p2^2*p1-1296000*p5*p4*p2^2-480000*p4^2*p3*p2+108000*p4^2*p2^2
*p1-24000*p4^2*p2*p1^3-11520000*p7*p4*p1^2+15628032000*p13+800*p4^2*p1^5+3200*
p1^9+192000*(1267136462592-23201386807045/12*n+128229075672563/144*n^2-\
9348441975979/54*n^3+1052510259597/64*n^4-158295931825/192*n^5+13117098979/576*
n^6-102628829/288*n^7+1867331/576*n^8-29545/1728*n^9+25/576*n^10)*p1+800/21*(
19047924-1174166*n+20076*n^2-70*n^3)*p1^7+38400*(3857460016410-4312322464807/4*
n+2439870088099/24*n^2-32824219803/8*n^3+1781472847/24*n^4-2358075/4*n^5+26555/
12*n^6-25/8*n^7)*p5+192000/7*(516217501800-146653082807/2*n+13178002117/4*n^2-\
112013601/2*n^3+1338575/4*n^4-665*n^5)*p7+1600*(10652577480-18546841241/12*n+
5933690677/72*n^2-49226899/24*n^3+893993/36*n^4-3355/24*n^5+25/72*n^6)*p1^5+
64000/3*(21562410870-5837985153/4*n+208725561/8*n^2-426195/4*n^3+495/8*n^4)*p9+
32000/27*(679271400-17034840*n+113400*n^2)*p3^3
[5, 4, 4, 4]
645120*p5*p2*p1^2-6720*p6*p4*p3+13440*p6*p3*p1^2+53760*p7*p6+17280*p4*p3*p2^2-\
322560*p5*p4*p2-34560*p3*p2^2*p1^2+160*(-1420524+35490*n-252*n^2)*p6*p2*p1+128*
(-3080280+123690*n-1260*n^2)*p5*p3*p1+80*(-5363988+196416*n-1656*n^2)*p4*p3*p2+
160*(10296528-567342*n+10824*n^2-72*n^3)*p3*p2*p1^2+240*(-143075236+9440664*n-\
173496*n^2+1104*n^3)*p4*p2*p1+80*(148404-5472*n+48*n^2)*p4*p3*p1^2+60*(36576-\
576*n)*p4*p2^2*p1+160/3*(327420-11322*n+108*n^2)*p3^2*p2*p1+40*(-80928+1728*n)*
p2^2*p1^3+80*(-9324+168*n)*p6*p4*p1+160/3*(-36036+378*n)*p6*p3*p2+480*(
12394995320-7189147462/3*n+458346346/3*n^2-11815874/3*n^3+118166/3*n^4-132*n^5)
*p4*p1+320*(18678192720-7271361161/2*n+231391167*n^2-11656543/2*n^3+54567*n^4-\
192*n^5)*p3*p2+320*(831669132-164078187/2*n+2430631*n^2-45633/2*n^3+35*n^4)*p6*
p1+192*(1410764460-135865660*n+3604020*n^2-21560*n^3)*p5*p2+192*(-86965620+
6050870*n-125720*n^2+840*n^3)*p5*p1^2+160*(1782978000-185274722*n+5935338*n^2-\
65074*n^3+198*n^4)*p4*p3+80*(5934324-324760*n+6000*n^2-32*n^3)*p4*p1^3+320/3*(-\
190787856+31223679/2*n-425235*n^2+9069/2*n^3-15*n^4)*p3^2*p1+160/9*(-7524+216*n
)*p3^2*p1^3+40/3*(246240-3888*n)*p3*p2^3+160/3*(19572-504*n)*p6*p1^3+96*(
47643540-2203320*n+19320*n^2)*p5*p4+48*(-2526720+35280*n)*p5*p2^2+60*(-2665760+
96480*n-960*n^2)*p4^2*p1+240*(16217520-756360*n+7920*n^2)*p8*p1+960/7*(29514744
-1213128*n+7728*n^2)*p7*p2+960/7*(-826392+27776*n-224*n^2)*p7*p1^2+320/3*(
48011460-5217807/2*n+35406*n^2-105/2*n^3)*p6*p3-70400*p9*p1^2+640/7*(-18984+336
*n)*p7*p3*p1+35200*p9*p4+80/3*(3708-72*n)*p4*p3^2*p1+126720*p10*p3+320*(-\
2169444480+610135217/2*n-14386724*n^2+587403/2*n^3-2766*n^4+10*n^5)*p3*p1^2+240
*(-2863532120+384295464*n-15780504*n^2+231204*n^3-1272*n^4)*p2^2*p1+160*(
234170208-22203638*n+695148*n^2-9592*n^3+48*n^4)*p2*p1^3+960*(42072225408-\
97908629863/6*n+6327481382/3*n^2-703946945/6*n^3+8797636/3*n^4-30682*n^5+128*n^
6)*p2*p1+80*(-233543208+16017768*n-305352*n^2+1908*n^3)*p3*p2^2+80/3*(-346584+
18912*n-288*n^2)*p3*p1^4+40*(10104480-302832*n+2592*n^2)*p2^3*p1+80*(498960-\
11880*n)*p8*p3+192*(82060-1320*n)*p10*p1+320/3*(157740-990*n)*p9*p2+160/27*(
10260-162*n)*p3^3*p2-640*p3^3*p1^2+64/3*(-95760+1890*n)*p5*p3^2+20*(-72480+1440
*n)*p4^2*p3+64*(364560-4410*n)*p6*p5-138240*p7*p2^2+480/7*(381360-6720*n)*p7*p4
-7680*p7*p3^2+320*p4*p3^3-1075200*p13+1920*(-21794572800+96451873922/3*n-\
126488359099/9*n^2+22911236381/9*n^3-1969161463/9*n^4+84092363/9*n^5-1737586/9*
n^6+15698/9*n^7-20/3*n^8)*p1+640*(-107293979520+177077790493/3*n-32734023323/3*
n^2+2662408886/3*n^3-102129113/3*n^4+587797*n^5-11324/3*n^6+10*n^7)*p3+1920/7*(
-5599834240+2315719798/3*n-33286764*n^2+1438346/3*n^3-924*n^4)*p7+320/27*(-\
10082232+1049931/2*n-7398*n^2+45/2*n^3)*p3^3+384*(-50369118800+80515693895/6*n-\
1206405900*n^2+271707625/6*n^3-668010*n^4+2240*n^5)*p5+1920/11*(-2242240+60060*
n)*p11+16*(-13128840+1016400*n-29600*n^2+320*n^3)*p1^5+320*(-9085758912+
14824806011/6*n-674687885/3*n^2+53802805/6*n^3-518249/3*n^4+1678*n^5-20/3*n^6)*
p1^3+640/3*(-194113920+26564725/2*n-219450*n^2+275/2*n^3)*p9
[5, 4, 4, 3, 2]
-86400*p8*p1^3-51840*p5*p2^3+15*(-101760+1600*n)*p4^2*p2*p1+60*(756720-12960*n)
*p8*p2*p1+320/7*(1270836-23940*n+84*n^2)*p7*p3*p1+240/7*(-30016+448*n)*p7*p2*p1
^2+40*(1079190-16002*n+42*n^2)*p6*p4*p1+80/3*(1915200-31248*n)*p6*p3*p2+80/3*(-\
54180+504*n)*p6*p3*p1^2+20*(-49812+504*n)*p6*p2^2*p1+120*(7902237630-1879329634
/3*n+48381626/3*n^2-528212/3*n^3+2200/3*n^4)*p4*p2*p1+80*(-798727804+52130012*n
-1209712*n^2+12812*n^3-56*n^4)*p3*p2*p1^2+30*(-14730048+487936*n-4080*n^2)*p4*
p2^2*p1+20*(431048-13056*n+96*n^2)*p4*p2*p1^3+80/3*(-21990408+868440*n-10962*n^
2+42*n^3)*p3^2*p2*p1+20*(992040-32352*n+288*n^2)*p3*p2^2*p1^2+20/3*(-23520+576*
n)*p3*p2*p1^4+48*(-9177100+299440*n-2640*n^2)*p5*p2*p1^2+40*(270745244-10783396
*n+130284*n^2-488*n^3)*p4*p3*p2+40*(-12562956+429348*n-4692*n^2+24*n^3)*p4*p3*
p1^2+80*(136465434-5399212*n+58506*n^2-98*n^3)*p6*p2*p1+64*(181625910-7630845*n
+99525*n^2-480*n^3)*p5*p3*p1+20/3*(13140-216*n)*p3^2*p2^2*p1+40/3*(-191502+3330
*n-18*n^2)*p4*p3^2*p1+10*(-165840+2592*n)*p4*p3*p2^2+24*(1605440-25200*n)*p5*p4
*p2+24*(-32880+480*n)*p5*p4*p1^2+160/3*(-12208680+213840*n)*p9*p2+160/3*(354420
-3960*n)*p9*p1^2+40*(-19178640+398520*n-1080*n^2)*p8*p3+240/7*(-18799480+320264
*n-1064*n^2)*p7*p4+80/27*(-319140+5184*n)*p3^3*p2+96/5*(1040700-16200*n)*p5^2*
p1+120/7*(968240-11424*n)*p7*p2^2+32*(-19195260+277515*n-315*n^2)*p6*p5+96*(-\
7654350+158730*n-330*n^2)*p10*p1+160*(97380983840-29953268285/2*n+3180679535/4*
n^2-38844799/2*n^3+1005193/4*n^4-1765*n^5+5*n^6)*p3*p1^2+20*(53538404-2758392*n
+48768*n^2-288*n^3)*p2^2*p1^3+4*(-1664080+74560*n-960*n^2)*p2*p1^5+240*(-\
497441465160+101557951592*n-21129579949/3*n^2+427167803/2*n^3-9250618/3*n^4+
44445/2*n^5-181/3*n^6)*p4*p1+160*(-729266087600+885939964379/6*n-120292177117/
12*n^2+872667872/3*n^3-46612135/12*n^4+51369/2*n^5-202/3*n^6)*p3*p2+96*(
5128178060-414726245*n+10908565*n^2-120620*n^3+580*n^4)*p5*p1^2+80*(-\
73947464860+7743164529*n-510093317/2*n^2+3304902*n^3-41147/2*n^4+41*n^5)*p4*p3-\
1048320*p11*p2-1310400*p12*p1+480/7*(81407648-3167808*n+32480*n^2-112*n^3)*p7*
p1^2+160/3*(-2045075676+105132069*n-1445661*n^2+6552*n^3)*p6*p3+80/3*(-4760322+
121590*n-630*n^2)*p6*p1^3+48*(-2173157140+104535520*n-1229420*n^2+5500*n^3)*p5*
p4+24*(204163760-7002840*n+55800*n^2)*p5*p2^2-4800*p4^2*p3*p2+20160*p6*p5*p2+
100800*p6*p4*p3-3360*p6*p3^2*p1-2880*p5*p3^2*p2+46080*p7*p5*p1+72960*p7*p4*p2+
27417600*p13+6720*p6*p2*p1^3+10*(2746320-50160*n+240*n^2)*p4^2*p3+32/3*(2944440
-51975*n+135*n^2)*p5*p3^2+8*(134880-2880*n)*p5*p1^4+30*(180126240-7011920*n+
81520*n^2-400*n^3)*p4^2*p1-5760*p5*p4*p3*p1+20/3*(-21236760+641520*n-5184*n^2)*
p3*p2^3+120*(-945964440+50101080*n-726480*n^2+3000*n^3)*p8*p1+480/7*(-\
1542424016+226947112/3*n-906304*n^2+6440/3*n^3)*p7*p2-3360*p6*p4*p2*p1+160*(-\
38484321750+16454450159/4*n-1133088327/8*n^2+3886435/2*n^3-86121/8*n^4+35/4*n^5
)*p6*p1+80/9*(740376-18630*n+54*n^2)*p3^2*p1^3-7680*p7*p3*p2*p1-1900800*p10*p3+
5/2*(630720-10368*n)*p2^4*p1+11520*p5*p3*p1^3+40*(-518745598+31529498*n-628538*
n^2+5592*n^3-24*n^4)*p4*p1^3+160/3*(9133770924-3025463883/4*n+171009699/8*n^2-\
564231/2*n^3+14829/8*n^4-15/4*n^5)*p3^2*p1+105600*p9*p3*p1+96*(-61545548480+
19118706955/3*n-203427835*n^2+7063430/3*n^3-9600*n^4)*p5*p2-777600*p8*p5+20*(-\
989494956+59893824*n-1186560*n^2+7920*n^3)*p2^3*p1+960*(741015475200-\
1107953883137*n+4457185790255/9*n^2-3338435044819/36*n^3+33619061277/4*n^4-\
4747619065/12*n^5+120030391/12*n^6-278529/2*n^7+19661/18*n^8-35/9*n^9)*p1+40*(
11459944400-887952856*n+21866880*n^2-222344*n^3+864*n^4)*p3*p2^2+40/3*(39531456
-1920888*n+30792*n^2-144*n^3)*p3*p1^4+65280*p7*p3^2+120*(126656585760-\
57345406354/3*n+2928576869/3*n^2-66412616/3*n^3+742351/3*n^4-1150*n^5)*p2^2*p1+
80*(-13448582240+4700939722/3*n-64196612*n^2+3751658/3*n^3-12704*n^4+56*n^5)*p2
*p1^3+23520*p6^2*p1+480*(-1539314910720+2482661017591/4*n-6116302381579/72*n^2+
187700538869/36*n^3-11428538569/72*n^4+22781387/9*n^5-395155/18*n^6+752/9*n^7)*
p2*p1-1920*p4*p3^3+960/11*(106186080-2888886*n+6006*n^2)*p11+480*p4*p3^2*p2*p1+
43200*p8*p4*p1+20*(6000-96*n)*p4*p3*p2*p1^2+32*(-121800+2160*n)*p5*p3*p2*p1+
63360*p10*p2*p1+86400*p8*p3*p2+960/7*(226241695680-32075163505*n+8802866135/6*n
^2-76843942/3*n^3+906577/6*n^4-539/3*n^5)*p7+320*(3800885437440-4274472237449/2
*n+4881388674959/12*n^2-69098904657/2*n^3+17239776847/12*n^4-89537113/3*n^5+
1838677/6*n^6-4748/3*n^7+10/3*n^8)*p3+8*(1110386480-96763380*n+2951780*n^2-\
41920*n^3+240*n^4)*p1^5+160*(357147425664-419035585867/4*n+255103184681/24*n^2-\
1493353162/3*n^3+293487835/24*n^4-2061707/12*n^5+2765/2*n^6-5*n^7)*p1^3+160/27*
(350399304-15663591*n+216351*n^2-1080*n^3)*p3^3+320/3*(8490802320-594847275*n+
11110275*n^2-46200*n^3)*p9+192*(1892399308800-1036764855035/2*n+193994964705/4*
n^2-5914503460/3*n^3+433397305/12*n^4-1666225/6*n^5+2270/3*n^6)*p5+8640*p4*p2^3
*p1-1161600*p9*p4+23040*p3^3*p1^2-913920*p7*p6+34560*p5^2*p3+28800*p5*p4^2-960*
p3^2*p2*p1^3-17280*p2^3*p1^3
[5, 4, 4, 2, 2, 2]
84480*p10*p1^3+345600*p8*p3*p1^2+92160*p7*p3*p2*p1+291840*p7*p4*p1^2-5068800*p9
*p3*p1-760320*p10*p2*p1-4193280*p11*p1^2-1036800*p8*p3*p2-5356800*p8*p4*p1+
107520*p6*p3^2*p1+40320*p6*p4*p2*p1+80640*p6*p5*p1^2-967680*p5^2*p3-1809920*p6*
p4*p3-241920*p6*p5*p2-752640*p6^2*p1+34560*p5*p3^2*p2-665600*p7*p3^2+391680*p5*
p4*p3*p1-875520*p7*p4*p2-2949120*p7*p5*p1+12800*p4*p3^3+57600*p4^2*p3*p2+96000*
p4^3*p1-1382400*p5*p4^2+12579840*p11*p2+622080*p5*p2^3+83865600*p12*p1+32440320
*p10*p3+36326400*p9*p4+320/3*(937020-15942*n+18*n^2)*p4*p3^2*p1+80*(273456-3888
*n)*p4*p3*p2^2+160/3*(-23760+324*n)*p3^2*p2^2*p1+480*(-3377520+45360*n)*p8*p2*
p1+160/3*(594624-19416*n+144*n^2)*p3*p2*p1^4+160*(-7064784+240312*n-1992*n^2)*
p4*p2*p1^3+320*(94685584-4030518*n+46648*n^2-106*n^3)*p4*p3*p1^2+320/9*(4284-54
*n)*p3^2*p2*p1^3+80/3*(6576-96*n)*p4*p3*p1^4+640/3*(683634-12348*n)*p6*p3*p1^2+
640/3*(78137592-5662821/2*n+28296*n^2-99/2*n^3)*p3^2*p2*p1+160*(-5340576+165600
*n-1296*n^2)*p3*p2^2*p1^2+960*(-26738220492+2290151210*n-60811024*n^2+577256*n^
3-1830*n^4)*p4*p2*p1+640*(3781899176-279543756*n+6669140*n^2-60854*n^3+174*n^4)
*p3*p2*p1^2+512*(-757607820+67911215/2*n-382095*n^2+1815/2*n^3)*p5*p3*p1+384*(
66798320-2421780*n+19800*n^2)*p5*p2*p1^2+320*(-687488688+24818442*n-253572*n^2+
570*n^3)*p4*p3*p2+240*(57492840-1769472*n+14112*n^2)*p4*p2^2*p1+640*(-558409488
+45747009/2*n-202440*n^2+231/2*n^3)*p6*p2*p1+2560/7*(-6235320+115276*n-84*n^2)*
p7*p3*p1+1920/7*(291536-3528*n)*p7*p2*p1^2+320*(-7021308+120750*n-42*n^2)*p6*p4
*p1+640/3*(-3571134+53424*n)*p6*p3*p2+160*(91728-756*n)*p6*p2^2*p1+320/3*(-\
14028+126*n)*p6*p2*p1^3+192*(-4407240+65160*n)*p5*p4*p2+192*(781720-13440*n)*p5
*p4*p1^2+256/3*(-67650+1170*n)*p5*p3*p1^3+120*(562560-8640*n)*p4^2*p2*p1+
25920000*p8*p5+640/27*(437130-6480*n)*p3^3*p2+640/27*(-100710+1620*n)*p3^3*p1^2
+320*(49799880-906840*n+1080*n^2)*p8*p3+160*(460800-8280*n)*p8*p1^3+1920/7*(
57491280-996184*n+1064*n^2)*p7*p4+960/7*(-1571808+17136*n)*p7*p2^2+256*(
57691620-844515*n+315*n^2)*p6*p5+768*(40363620-983950*n+330*n^2)*p10*p1+1280/3*
(30518730-451440*n)*p9*p2+1280*(120634982244-27951095711/2*n+2080858087/4*n^2-\
28387359/4*n^3+102473/4*n^4-35/4*n^5)*p6*p1+1280/3*(5584674564-271636736*n+
3030321*n^2-7945*n^3)*p6*p3+384*(6159103020-297473710*n+3263060*n^2-9150*n^3)*
p5*p4+240*(-812122800+36833400*n-428480*n^2+1160*n^3)*p4^2*p1+16*(717880-23680*
n+160*n^2)*p4*p1^5+20*(-1140480+15552*n)*p2^4*p1+256/3*(-6596400+105615*n-135*n
^2)*p5*p3^2+80*(-7964640+135120*n-240*n^2)*p4^2*p3+40*(-83520+1440*n)*p4^2*p1^3
+16128000*p7*p6-658022400*p13-10240*p7*p3*p1^3-4480*p6*p4*p1^3-11520*p5*p3^2*p1
^2+8960*p6*p1^5-207360*p5*p2^2*p1^2-19200*p4^2*p3*p1^2-103680*p4*p2^3*p1+11520*
p4*p2^2*p1^3-5760*p4*p3^2*p2*p1+640*p4*p3^2*p1^3-1280*p3^2*p1^5+1280/3*(-\
4725270+100980*n)*p9*p1^2+768/5*(-6915300+107100*n)*p5^2*p1+640/9*(-10256784+
830739/2*n-4545*n^2+15/2*n^3)*p3^2*p1^3+160/3*(37119600-1049112*n+7776*n^2)*p3*
p2^3+64*(-7543020+280840*n-2400*n^2)*p5*p1^4+960*(3688048080-220481370*n+
3367080*n^2-6270*n^3)*p8*p1+640/3*(68205816-5986519/2*n+31773*n^2-35/2*n^3)*p6*
p1^3+192*(-504862500+15570360*n-117720*n^2)*p5*p2^2+160*(-406531656+24540396*n-\
462000*n^2+2796*n^3)*p2^2*p1^3+3840/7*(-531748224+82154198/3*n-355796*n^2+1414/
3*n^3)*p7*p1^2+3840/7*(4166200080-193254670*n+1912456*n^2-2506*n^3)*p7*p2+320*(
-29887650972+2161805226*n-45980640*n^2+389214*n^3-1080*n^4)*p3*p2^2+1280/3*(-\
30644754540+5377304483/2*n-301072067/4*n^2+3257755/4*n^3-14077/4*n^4+15/4*n^5)*
p3^2*p1+768*(163163135970-16644200365*n+500902495*n^2-4893970*n^3+15600*n^4)*p5
*p2+160*(3402998304-204818112*n+3650616*n^2-21924*n^3)*p2^3*p1+640*(
196864893900-61081037156/3*n+632490233*n^2-20468209/3*n^3+31023*n^4-41*n^5)*p4*
p3+1280*(-306061840800+158072937973/3*n-19042776335/6*n^2+512476589/6*n^3-\
2146579/2*n^4+35927/6*n^5-35/3*n^6)*p3*p1^2+1920*(1338978168840-861976059299/3*
n+63285736094/3*n^2-672173702*n^3+28648201/3*n^4-165727/3*n^5+119*n^6)*p4*p1+
1280*(1838839006080-1119197441179/3*n+49590680061/2*n^2-4013180251/6*n^3+
14958793/2*n^4-79039/2*n^5+74*n^6)*p3*p2+32*(44857040-2585540*n+46640*n^2-240*n
^3)*p2*p1^5+7680/7*(-589700311200+83608131754*n-11200619003/3*n^2+177785251/3*n
^3-720769/3*n^4+539/3*n^5)*p7+80/3*(102816-1296*n)*p2^3*p1^3+1536*(-\
4662559301400+1287010335205*n-719649569665/6*n^2+28394070185/6*n^3-474029525/6*
n^4+2835955/6*n^5-1030*n^6)*p5+3840*(3742146141696-9324615516827/6*n+
2640875371037/12*n^2-55972003541/4*n^3+1744463907/4*n^4-81219563/12*n^5+307121/
6*n^6-166*n^7)*p2*p1+1280*(-963972664128+619561621765/2*n-1278771473815/36*n^2+
23158956557/12*n^3-1974422473/36*n^4+10034777/12*n^5-59374/9*n^6+65/3*n^7)*p1^3
+2560*(-8895995035200+5054852706391*n-17422746604673/18*n^2+490351743329/6*n^3-\
59239570115/18*n^4+375103799/6*n^5-4725016/9*n^6+6583/3*n^7-10/3*n^8)*p3-23040*
p2^2*p1^5+768*(-21633652830+6308424905/3*n-66527545*n^2+2341420/3*n^3-2530*n^4)
*p5*p1^2+320*(3406354116-849658730/3*n+7777560*n^2-243880/3*n^3+254*n^4)*p4*p1^
3+960*(-360900406920+57499144811*n-3072458132*n^2+69298491*n^3-681720*n^4+2670*
n^5)*p2^2*p1+1280/27*(-852355260+33066000*n-357075*n^2+1035*n^3)*p3^3+2560/3*(-\
23358895560+1620834600*n-28108575*n^2+65175*n^3)*p9+160*(-52944+792*n)*p4*p3*p2
*p1^2+256*(429930-6480*n)*p5*p3*p2*p1+320/7*(-32256+448*n)*p7*p1^4+7680/11*(-\
306306000+8174166*n-6006*n^2)*p11+64*(-7663273560+2928104815/3*n-136001030/3*n^
2+2914495/3*n^3-28900/3*n^4+100/3*n^5)*p1^5+640*(54021668256-22884395164/3*n+
381339738*n^2-25679651/3*n^3+88357*n^4-346*n^5)*p2*p1^3+32/9*(-53040+1440*n)*p3
*p1^6+320/3*(-460348356+33205326*n-804280*n^2+7502*n^3-20*n^4)*p3*p1^4+32/21*(-\
4457880+234080*n-3360*n^2)*p1^7+7680*(-1667284819200+2518372841598*n-\
3426170731468/3*n^2+11742974324027/54*n^3-60162144931/3*n^4+8616411242/9*n^5-\
24184200*n^6+5794529/18*n^7-6697/3*n^8+185/27*n^9)*p1
[5, 4, 3, 3, 3]
-128520*p6*p3*p1^2-311040*p7*p2*p1^2-1866240*p5*p3*p2*p1-155520*p5*p4*p1^2-\
453600*p4*p3^2*p1+2494800*p9*p1^2-648000*p3^3*p2+14256000*p7*p3*p1+6531840*p5^2
*p1+14774400*p5*p3^2+135*(151452-1288*n)*p6*p4*p1+90*(893676-16758*n+126*n^2)*
p6*p3*p2+135/2*(-32760+336*n)*p6*p2^2*p1+405/2*(209520-1440*n)*p8*p2*p1+135/2*(
237384-5352*n+24*n^2)*p3*p2^2*p1^2+405/4*(-6830208+246376*n-3112*n^2+16*n^3)*p4
*p2^2*p1+135/2*(52480-768*n)*p4*p2*p1^3+90*(-4531680+113040*n-720*n^2)*p3^2*p2*
p1+162*(-1705320+32520*n-120*n^2)*p5*p2*p1^2+135*(108518332-5081548*n+89799*n^2
-854*n^3+3*n^4)*p4*p3*p2+135*(-1130892+19392*n-96*n^2)*p4*p3*p1^2+270*(40200972
-1496222*n+17010*n^2-84*n^3)*p6*p2*p1+405/8*(-27360+320*n)*p4^2*p2*p1+135/4*(-\
160704+3720*n-24*n^2)*p4*p3*p2^2+135/8*(4320-64*n)*p4*p2^3*p1+81*(1090720-21480
*n+120*n^2)*p5*p4*p2+405*(2262941028-182008948*n+15670697/3*n^2-75560*n^3+1777/
3*n^4-2*n^5)*p4*p2*p1+270*(-169721640+8727570*n-157821*n^2+1278*n^3-3*n^4)*p3*
p2*p1^2-874800*p8*p5+108*(-6233920+93030*n-630*n^2)*p6*p5-926640*p10*p3+810/7*(
-6446160+126224*n-784*n^2)*p7*p4+405/7*(1220352-29008*n+112*n^2)*p7*p2^2-\
1603800*p9*p4+324*(-1209780+5720*n)*p10*p1+180*(-6658740+179190*n-990*n^2)*p9*
p2+135*(-4876920+69660*n-540*n^2)*p8*p3+81*(118219080-6413460*n+121060*n^2-880*
n^3)*p5*p2^2+405/4*(38974440-1193640*n+14920*n^2-80*n^3)*p4^2*p1+45/16*(26400-\
576*n)*p3*p2^4+48600*p5*p4^2+405*(-217775880+8902380*n-88740*n^2+360*n^3)*p8*p1
+1620/7*(-595141680+36753640*n-777574*n^2+6748*n^3-14*n^4)*p7*p2+27/2*(-193600+
3840*n)*p5*p2^3-1058400*p7*p6+135/4*(758760-15480*n+120*n^2)*p4^2*p3-4320*p7*p2
^3+324*(-19989731700+2310424660*n-95775130*n^2+1958310*n^3-21260*n^4+100*n^5)*
p5*p2+324*(1059362260-63987810*n+1069545*n^2-7830*n^3+15*n^4)*p5*p1^2+270*(-\
22297932360+2384466205*n-171088365/2*n^2+5851631/4*n^3-61389/4*n^4+389/4*n^5-1/
4*n^6)*p4*p3+135*(-71598852+2508920*n-33088*n^2+192*n^3)*p4*p1^3+180*(
2184392640-145042860*n+2857950*n^2-26700*n^3+90*n^4)*p3^2*p1+45/2*(-19131544+
942604*n-17196*n^2+128*n^3)*p3*p2^3+135/16*(1128480-39680*n+384*n^2)*p2^4*p1+45
/4*(-9760+192*n)*p2^3*p1^3+1620/7*(10989496-178080*n+672*n^2)*p7*p1^2+180*(-\
605543596+58883363/2*n-1747977/4*n^2+7777/2*n^3-63/4*n^4)*p6*p3+90*(-288316+
2856*n)*p6*p1^3+162*(-688631580+35172340*n-583315*n^2+4990*n^3-15*n^4)*p5*p4-\
9720*p5*p4*p2^2+136080*p6*p5*p2+86940*p6*p4*p3-11340*p6*p3*p2^2+181440*p7*p4*p2
+145800*p8*p3*p2+405*(37247184960-5889080112*n+1021193819/3*n^2-30271640/3*n^3+
177323*n^4-5584/3*n^5+28/3*n^6)*p2^2*p1+270*(-2976769344+294515662*n-9978475*n^
2+170740*n^3-1565*n^4+6*n^5)*p2*p1^3+1620*(-449107876224+364131500559/2*n-\
152231133767/6*n^2+13143659581/8*n^3-460007157/8*n^4+29503307/24*n^5-137639/8*n
^6+1829/12*n^7-2/3*n^8)*p2*p1+27/2*(-146400+2880*n)*p2*p1^5+540*(-220415582160+
93547518889/2*n-3527898580*n^2+1036021081/8*n^3-21884767/8*n^4+287163/8*n^5-\
2241/8*n^6+n^7)*p3*p2+540*(24585507280-6758776539/2*n+595866721/4*n^2-11296713/
4*n^3+58559/2*n^4-609/4*n^5+1/4*n^6)*p3*p1^2+135*(4310767968-411685420*n+
14967201*n^2-282946*n^3+2971*n^4-14*n^5)*p3*p2^2+45*(2689152-58392*n+216*n^2)*
p3*p1^4+135/2*(-405176040+31203724*n-2758028/3*n^2+13448*n^3-256/3*n^4)*p2^3*p1
+135/2*(11702904-506248*n+7960*n^2-48*n^3)*p2^2*p1^3+540*p4*p3*p2^3-8100*p4^2*
p3*p2+30844800*p13+19440*p5*p2^2*p1^2+25920*p4*p3*p2*p1^2+64800*p3^2*p2^2*p1+
216*(32497440-714240*n+4320*n^2)*p5*p3*p1+810*(-140608873680+28268875631*n-\
3870333645/2*n^2+721279709/12*n^3-12008969/12*n^4+121901/12*n^5-745/12*n^6+1/6*
n^7)*p4*p1+540*(-10209024756+2027911655/2*n-382966367/12*n^2+428918*n^3-36337/
12*n^4+21/2*n^5)*p6*p1+3240/7*(68142874800-29990897944/3*n+1510704601/3*n^2-\
69574225/6*n^3+277809/2*n^4-1561/2*n^5+7/6*n^6)*p7+178200*p9*p2^2-3538080*p11*
p2-1080*p3*p2^3*p1^2+116640*p5*p1^4-19440*p3*p2*p1^4+3240*(219560140800-\
658413860027/2*n+2372495568821/16*n^2-2033657259571/72*n^3+1531289482739/576*n^
4-9804545089/72*n^5+1187356685/288*n^6-1439287/18*n^7+595051/576*n^8-17/2*n^9+5
/144*n^10)*p1+360*(2626063440-383495475/2*n+17609625/4*n^2-83985/2*n^3+495/4*n^
4)*p9+20*(79142400-2219400*n+16200*n^2)*p3^3+648*(561778817600-945400319975/6*n
+46617279535/3*n^2-17192933005/24*n^3+141337485/8*n^4-2033745/8*n^5+49585/24*n^
6-15/2*n^7)*p5+648000*p3^2*p1^3+3240/11*(34034000-966966*n+6006*n^2)*p11+27*(
136349920-6694200*n+115080*n^2-720*n^3)*p1^5+1080*(1123899212800-3840661428065/
6*n+6011816912795/48*n^2-90319294831/8*n^3+102673422169/192*n^4-1404389053/96*n
^5+8001663/32*n^6-130685/48*n^7+1131/64*n^8-5/96*n^9)*p3+540*(97081165696-\
160938538055/6*n+29515614817/12*n^2-1184334215/12*n^3+2008096*n^4-97079/4*n^5+
2015/12*n^6-1/2*n^7)*p1^3
[5, 4, 3, 3, 2, 2]
80*(-19244736+324387*n-819*n^2)*p6*p3*p2+80*(885780-10647*n+63*n^2)*p6*p3*p1^2+
60*(1636824-26544*n)*p6*p2^2*p1+40*(-55188+504*n)*p6*p2*p1^3+960/7*(-13271496+
225372*n-1092*n^2)*p7*p3*p1+720/7*(1009624-17696*n+56*n^2)*p7*p2*p1^2+180*(-\
12858120+258480*n-720*n^2)*p8*p2*p1+240*(-1550553480+72661001*n-1089963*n^2+
5866*n^3)*p6*p2*p1+20*(-205200+3168*n)*p3^2*p2^2*p1+10*(13032-216*n)*p3*p2^3*p1
^2-138240*p7*p1^4+36*(-124040+2040*n)*p5*p2^2*p1^2+45*(1842960-33760*n+160*n^2)
*p4^2*p2*p1+40*(1685232-25344*n+144*n^2)*p4*p3^2*p1+30*(2270424-39528*n+96*n^2)
*p4*p3*p2^2+15*(-173616+2880*n)*p4*p2^3*p1+15*(7056-96*n)*p4*p2^2*p1^3+72*(-\
20005560+348600*n-1320*n^2)*p5*p4*p2+72*(936140-13440*n+60*n^2)*p5*p4*p1^2+120*
(-13976424+225204*n-1092*n^2)*p6*p4*p1+360*(-68757724656+18352414987/3*n-\
1139606911/6*n^2+8446744/3*n^3-126311/6*n^4+184/3*n^5)*p4*p2*p1+120*(159324140-\
5668757*n+144819/2*n^2-514*n^3+3/2*n^4)*p4*p3*p1^2+90*(231465432-28319144/3*n+
125416*n^2-1816/3*n^3)*p4*p2^2*p1+60*(-12730404+425976*n-4740*n^2+24*n^3)*p4*p2
*p1^3+80*(238453944-9433824*n+128412*n^2-696*n^3)*p3^2*p2*p1+120*(-2428875816+
101829661*n-2819397/2*n^2+8288*n^3-21/2*n^4)*p4*p3*p2+192*(-1737412200+74818515
*n-4206135/4*n^2+6930*n^3-45/4*n^4)*p5*p3*p1+144*(154719100-6168120*n+84470*n^2
-470*n^3)*p5*p2*p1^2+720*p4*p3*p2^2*p1^2+240*(8486680576-1260975519/2*n+
69156889/4*n^2-959599/4*n^3+6919/4*n^4-19/4*n^5)*p3*p2*p1^2+60*(-20982536+
782576*n-9798*n^2+46*n^3)*p3*p2^2*p1^2+20*(795360-18576*n+72*n^2)*p3*p2*p1^4-\
1128960*p6^2*p1+288*(88005060-2033460*n+8580*n^2)*p10*p1+160*(133252020-2907135
*n+8415*n^2)*p9*p2+160*(-6987420+113355*n-495*n^2)*p9*p1^2+120*(148595040-\
2747520*n+10800*n^2)*p8*p3+60*(366120-2160*n)*p8*p1^3+720/7*(161491680-2737504*
n+12544*n^2)*p7*p4-777600*p5^2*p3+15*(-46800+480*n)*p4^2*p1^3+80/9*(2352240-\
33696*n)*p3^3*p2+5/2*(-151200+2592*n)*p3*p2^4+32*(-19677240+308880*n-1080*n^2)*
p5*p3^2+12*(1876320-30240*n)*p5*p2^3+30*(-20343120+344760*n-1800*n^2)*p4^2*p3+
288/5*(-14099100+219600*n-900*n^2)*p5^2*p1+360/7*(-17541552+307216*n-448*n^2)*
p7*p2^2+96*(167544720-2575755*n+10395*n^2)*p6*p5+17280*p7*p2^3-2160*p4*p3*p2^3+
99360*p5*p4*p2^2+69120*p5*p3^2*p2+111600*p4^2*p3*p2-3600*p4^2*p3*p1^2-7200*p4^2
*p2^2*p1-5760*p7*p2^2*p1^2-2056320*p6*p5*p2+60480*p6*p5*p1^2-1915200*p6*p4*p3+
80640*p6*p3^2*p1+70560*p6*p3*p2^2+103680*p5^2*p2*p1-4942080*p10*p2*p1+12*(
50878240-2403920*n+39560*n^2-240*n^3)*p2*p1^5+60*(-880638528+57702184*n-1447298
*n^2+17622*n^3-92*n^4)*p2^2*p1^3+120*(5934166848-422738863*n+20937061/2*n^2-\
128817*n^3+1777/2*n^4-3*n^5)*p4*p1^3+144*(17285304960-856762345*n+23429495/2*n^
2-76560*n^3+315/2*n^4)*p5*p4-1140480*p5*p3*p1^3+17280*p5*p2*p1^4-740275200*p13+
11520*p4*p3*p1^4-794880*p3^3*p1^2+80640*p3^2*p2*p1^3-1440*p3*p2^2*p1^4+1440/7*(
-980860692+44494058*n-627543*n^2+4172*n^3-7*n^4)*p7*p1^2+80*(88934328-2889621*n
+27531*n^2-126*n^3)*p6*p1^3+160*(15875492724-809076324*n+23306913/2*n^2-71547*n
^3+189/2*n^4)*p6*p3+1440/7*(13332112164-729889482*n+11724433*n^2-65240*n^3+49*n
^4)*p7*p2+360*(8659037160-501801720*n+8816670*n^2-59520*n^3+90*n^4)*p8*p1+288*(
-46606521300+8439731525/2*n-524825305/4*n^2+7670275/4*n^3-61275/4*n^4+215/4*n^5
)*p5*p1^2+240*(538491135960-57932325789*n+2000430797*n^2-117393015/4*n^3+922925
/4*n^4-3385/4*n^5+3/4*n^6)*p4*p3+10*(1621368-52632*n+432*n^2)*p2^3*p1^3+3*(-\
44960+960*n)*p2^2*p1^5+299520*p7*p3*p2*p1+480*(299591679492-34295477993*n+
2640782557/2*n^2-22476258*n^3+378707/2*n^4-637*n^5)*p6*p1+288*(461039116140-\
50807432680*n+3677658375/2*n^2-57172915/2*n^3+428035/2*n^4-1255/2*n^5)*p5*p2+80
/3*(-11367936+282312*n-1512*n^2)*p3^2*p1^3+20*(296423568-11237580*n+135198*n^2-\
522*n^3)*p3*p2^3+15/2*(-27391200+955296*n-8640*n^2)*p2^4*p1-11520*p4*p3^2*p2*p1
+90*(-1812033600+230073520/3*n-1072140*n^2+22880/3*n^3-20*n^4)*p4^2*p1+24*(-\
5838240+113040*n-360*n^2)*p5*p1^4+6*(261440-3840*n)*p4*p1^5+72*(-2216391720+
96921060*n-1308790*n^2+6250*n^3)*p5*p2^2+120*(-94284633888+8092012933*n-\
479271089/2*n^2+6646379/2*n^3-44955/2*n^4+103/2*n^5)*p3*p2^2+480*(-734738797200
+122020693874*n-7181531324*n^2+1621768927/8*n^3-51502381/16*n^4+494653/16*n^5-\
2611/16*n^6+5/16*n^7)*p3*p1^2+60*(10980175632-835199260*n+23387802*n^2-305042*n
^3+1644*n^4)*p2^3*p1+40*(-598515504+32582244*n-590259*n^2+4464*n^3-9*n^4)*p3*p1
^4+480*(4962535667280-2090974146747/2*n+226152653809/3*n^2-9796251975/4*n^3+
1964198257/48*n^4-6206391/16*n^5+92959/48*n^6-53/16*n^7)*p3*p2+720*(
3450818440080-740205347886*n+992262752119/18*n^2-22590638195/12*n^3+302373329/9
*n^4-2056555/6*n^5+33559/18*n^6-47/12*n^7)*p4*p1-8640*p5*p3*p2^2*p1+160*(-\
74783025084+6476131260*n-386762523/2*n^2+2807103*n^3-44313/2*n^4+75*n^5)*p3^2*
p1+1440*(9858636707328-8233188028551/2*n+5328636872228/9*n^2-706902792613/18*n^
3+196780136173/144*n^4-3953140283/144*n^5+49296781/144*n^6-367205/144*n^7+643/
72*n^8)*p2*p1+2880*(-4446092851200+13463095870367/2*n-27647453758466/9*n^2+
7115721409793/12*n^3-1350621628181/24*n^4+823561980733/288*n^5-11931059071/144*
n^6+210521831/144*n^7-596459/36*n^8+33133/288*n^9-55/144*n^10)*p1+240*(
117991323648-31484318901/2*n+3086312455/4*n^2-76584543/4*n^3+1115195/4*n^4-9503
/4*n^5+19/2*n^6)*p2*p1^3+172800*p5*p4*p3*p1-3168000*p9*p3*p1+96*(1758900-30060*
n+90*n^2)*p5*p3*p2*p1+360*(-942659334960+154936628895*n-163222523731/18*n^2+
1546388257/6*n^3-74050411/18*n^4+222245/6*n^5-1361/9*n^6)*p2^2*p1-8640*p5*p4*p2
*p1^2-2656800*p8*p3*p2+262080*p6*p4*p2*p1+320*(-64838854080+4690956105*n-\
97009110*n^2+643995*n^3-990*n^4)*p9-2721600*p8*p4*p1-10080*p6*p3*p2*p1^2+158400
*p9*p2*p1^2+960*(-23682461624640+13601706669447*n-15983542340315/6*n^2+
2828088016477/12*n^3-503543022371/48*n^4+23876670905/96*n^5-158831663/48*n^6+
154907/6*n^7-2603/24*n^8+5/32*n^9)*p3+60*(-133020+2208*n-12*n^2)*p4*p3*p2*p1^2-\
2661120*p7*p4*p2+24*(-12403235280+1297260020*n-48279135*n^2+858410*n^3-7885*n^4
+30*n^5)*p1^5-2350080*p7*p5*p1+4/7*(-1416240+30240*n)*p1^7+129600*p8*p2^2*p1+
2880/7*(-1594653540480+233731109220*n-11307595838*n^2+452305791/2*n^3-3935533/2
*n^4+13545/2*n^5-7/2*n^6)*p7+160/9*(-2532236796+101454984*n-1375704*n^2+7560*n^
3)*p3^3+480*(-2419833273984+1509565244295/2*n-333725751741/4*n^2+35301609031/8*
n^3-2060727511/16*n^4+36781397/16*n^5-423403/16*n^6+2981/16*n^7-5/8*n^8)*p1^3+
64800*p8*p3*p1^2-1013760*p7*p3^2+24675840*p7*p6-928800*p5*p4^2+31363200*p9*p4+
576*(-12448949713200+7019884348785/2*n-2050004690765/6*n^2+29724563885/2*n^3-\
15107036845/48*n^4+54183755/16*n^5-886315/48*n^6+645/16*n^7)*p5-1572480*p11*p1^
2+51891840*p11*p2+62899200*p12*p1+37065600*p10*p3+80640*p7*p4*p1^2+23040*p4*p3^
3+36000*p4^3*p1+25272000*p8*p5-1425600*p9*p2^2-8640*p3*p1^6+2880/11*(-882161280
+24600576*n-96096*n^2)*p11
[5, 4, 3, 2, 2, 2, 2]
-1728000*p4^3*p1-1795200*p4^2*p3*p2+403200*p4^2*p3*p1^2-307200*p4*p3^3+172800*
p4^2*p2^2*p1-19200*p4^2*p2*p1^3+25920*p4*p3*p2^3+215040*p4*p3^2*p2*p1-17280*p4*
p3*p2^2*p1^2-15360*p4*p3^2*p1^3+960*p4*p3*p2*p1^4+480*(-5817462+87444*n)*p6*p2^
2*p1+1440*(53227320-990360*n+1800*n^2)*p8*p2*p1+7680/7*(63145600-1091608*n+2632
*n^2)*p7*p3*p1+256*(933000-14985*n+45*n^2)*p5*p3*p1^3+288*(696900-10440*n)*p5*
p2^2*p1^2+320*(759738-11844*n)*p6*p2*p1^3+576*(56050030-917130*n+2730*n^2)*p5*
p4*p2+576*(-8868750+152290*n-570*n^2)*p5*p4*p1^2+5760/7*(-6801340+116956*n-140*
n^2)*p7*p2*p1^2+960*(69613698-1173312*n+3780*n^2)*p6*p4*p1+640*(51070656-796005
*n+1449*n^2)*p6*p3*p2+640*(-8122212+136563*n-315*n^2)*p6*p3*p1^2+720*(-\
853621078+33111802*n-391594*n^2+1492*n^3)*p4*p2^2*p1+480*(110525646-13136062/3*
n+53642*n^2-668/3*n^3)*p4*p2*p1^3+640*(-917291336+35013014*n-410118*n^2+1576*n^
3)*p3^2*p2*p1+160*(594480-8352*n)*p3^2*p2^2*p1+320/3*(-88632+1152*n)*p3^2*p2*p1
^3+80*(-46548+648*n)*p3*p2^3*p1^2+40*(5964-72*n)*p3*p2^2*p1^4+1920*(5921260758-\
283666579*n+3849153*n^2-16478*n^3)*p6*p2*p1+320*(-7992360+124776*n-264*n^2)*p4*
p3^2*p1+240*(-5317334+82638*n-126*n^2)*p4*p3*p2^2+80*(-94050+1278*n-6*n^2)*p4*
p3*p1^4+120*(545688-8208*n)*p4*p2^3*p1+120*(-77024+1152*n)*p4*p2^2*p1^3+24*(
6360-80*n)*p4*p2*p1^5+96*(-73300+1080*n)*p5*p2*p1^4+360*(-7629760+130160*n-400*
n^2)*p4^2*p2*p1+276480*p5*p3^2*p1^2+135168000*p9*p3*p1-9504000*p9*p2*p1^2+
133747200*p8*p4*p1+47865600*p8*p3*p2-9849600*p8*p3*p1^2+960*(262543290208-\
261194880823/12*n+4743203529/8*n^2-43417819/6*n^3+322119/8*n^4-249/4*n^5)*p3*p2
^2+640/9*(946080-12960*n)*p3^3*p1^2+96*(-4484160+64800*n)*p5*p2^3+2304/5*(
70891000-1157850*n+4050*n^2)*p5^2*p1+256*(56791200-863820*n+1980*n^2)*p5*p3^2+
960/7*(700420-10444*n+28*n^2)*p7*p1^4+768*(-521675280+8032185*n-26145*n^2)*p6*
p5+32*(-51030+420*n)*p6*p1^5+5760/7*(-501044880+8271200*n-25760*n^2)*p7*p4+2880
/7*(44677052-704844*n+588*n^2)*p7*p2^2+1280*(-377446410+7506675*n-16335*n^2)*p9
*p2-23040*p5*p3*p2*p1^3+207360*p5*p3*p2^2*p1+1280*(55587510-1266705*n+3465*n^2)
*p9*p1^2+691200*p5*p4*p2*p1^2+960*(-446727420+7806600*n-19800*n^2)*p8*p3-\
8524800*p5*p4*p3*p1+443520*p6*p3*p2*p1^2-8305920*p6*p4*p2*p1-6973440*p7*p3*p2*
p1+160*(-12525116+444616*n-4566*n^2+14*n^3)*p3*p2*p1^4+1920*(-36238979188+
11976455331/4*n-2061340421/24*n^2+2215213/2*n^3-154795/24*n^4+43/4*n^5)*p3*p2*
p1^2+480*(107132640-3914372*n+41796*n^2-120*n^3)*p3*p2^2*p1^2+1536*(6995939760-\
322817510*n+8434805/2*n^2-20915*n^3+45/2*n^4)*p5*p3*p1+1152*(-848676550+
36848110*n-475430*n^2+2000*n^3)*p5*p2*p1^2+960*(-970850988+41552203*n-544382*n^
2+2742*n^3-3*n^4)*p4*p3*p1^2+349440*p6*p4*p1^3-3118080*p6*p3^2*p1-1149120*p6*p3
*p2^2-6720*p6*p3*p1^4-4147200*p5^2*p2*p1-1918080*p5*p4*p2^2-5760*p5*p4*p1^4-\
1290240*p5*p3^2*p2+18753638400*p13+2304*(-401256570+10247380*n-28600*n^2)*p10*
p1+480*(-6846840+132120*n-360*n^2)*p8*p1^3+240*(61275260-978500*n+2900*n^2)*p4^
2*p3+120*(1022480-17360*n+80*n^2)*p4^2*p1^3+960*(6907933428-814584319/3*n+
3305555*n^2-45242/3*n^3+12*n^4)*p4*p3*p2+20*(275400-3888*n)*p3*p2^4+640/9*(-\
5376240+73440*n)*p3^3*p2+2880*(229135258922-21511698266*n+4043075453/6*n^2-\
27234530/3*n^3+344017/6*n^4-391/3*n^5)*p4*p2*p1+1280*(252401878280-23356251067*
n+1431543823/2*n^2-9448440*n^3+120873/2*n^4-145*n^5)*p3^2*p1+960*(-31550190954+
8510289590/3*n-534105821/6*n^2+3749888/3*n^3-49741/6*n^4+59/3*n^5)*p4*p1^3+1920
*(-1506365544240+1946532447143/12*n-130264003379/24*n^2+857190713/12*n^3-\
11308723/24*n^4+4031/3*n^5-3/4*n^6)*p4*p3+3840*(-944664812574+230928210317/2*n-\
18852592353/4*n^2+79812677*n^3-2262687/4*n^4+2961/2*n^5)*p6*p1+2304*(
182782908870-76063541775/4*n+16236398605/24*n^2-20745125/2*n^3+1711115/24*n^4-\
715/4*n^5)*p5*p1^2+2304*(-1280849177250+1682803763915/12*n-38903315305/8*n^2+
405516815/6*n^3-3456975/8*n^4+4105/4*n^5)*p5*p2+160*(-753470772+26021466*n-\
266544*n^2+702*n^3)*p3*p2^3+11520/7*(-38251767624+6053399422/3*n-28901390*n^2+
390236/3*n^3-56*n^4)*p7*p2+16/7*(-71960+1680*n)*p2*p1^7+5760*(-9591386289540+
25785435105911/12*n-4029158062919/24*n^2+71436979457/12*n^3-2514501005/24*n^4+
2850376/3*n^5-26099/6*n^6+22/3*n^7)*p4*p1+1152*(-51155027490+7561364885/3*n-\
31783795*n^2+507910/3*n^3-270*n^4)*p5*p4+48*(-11439090+392330*n-4010*n^2+20*n^3
)*p4*p1^5+640*(-767131974+36970801*n-526827*n^2+2534*n^3)*p6*p1^3+640/3*(
120328152-4735326*n+57510*n^2-240*n^3)*p3^2*p1^3+60*(88445160-2857248*n+23328*n
^2)*p2^4*p1+80*(-11352804+376272*n-3024*n^2)*p2^3*p1^3+720*(7392559260-\
339517220*n+4472300*n^2-24520*n^3+40*n^4)*p4^2*p1+576*(6120033390-248724900*n+
3000390*n^2-11730*n^3)*p5*p2^2+2880*(-32277624660+2042480400*n-36835260*n^2+
190440*n^3-180*n^4)*p8*p1+11520/7*(5198883144-288509774*n+4671996*n^2-23436*n^3
+14*n^4)*p7*p1^2+1280*(-46638924570+4670705963/2*n-121369773/4*n^2+294007/2*n^3
-567/4*n^4)*p6*p3+2880*(2742832711800-1883223015801/4*n+227327720449/8*n^2-\
9570520055/12*n^3+280666169/24*n^4-555263/6*n^5+1921/6*n^6)*p2^2*p1-3110400*p8*
p2^2*p1+96*(-608233480+41783820*n-3072190/3*n^2+11130*n^3-140/3*n^4)*p2*p1^5+
480*(-36835447836+2791785330*n-73209900*n^2+852126*n^3-3924*n^4)*p2^3*p1+2560*(
186990623820-26992964625/2*n+1061851725/4*n^2-2802855/2*n^3+6435/4*n^4)*p9+192*
(100925430-4152210*n+51340*n^2-250*n^3)*p5*p1^4+24*(1142940-35600*n+240*n^2)*p2
^2*p1^5+480*(4928055172-1096632676/3*n+9661980*n^2-342872/3*n^3+528*n^4)*p2^2*
p1^3+320*(4774150088-1497536121/4*n+83342461/8*n^2-264417/2*n^3+6147/8*n^4-5/4*
n^5)*p3*p1^4+23040/11*(2677114440-73723650*n+210210*n^2)*p11+23040/7*(
4350660153840-1282747317859/2*n+367270167901/12*n^2-3444795977/6*n^3+50266097/
12*n^4-34853/3*n^5+7/2*n^6)*p7+32/3*(1034400-26370*n+90*n^2)*p3*p1^6+4608*(
32165820987300-9163070041725*n+64326901172035/72*n^2-1830135475355/48*n^3+
109008070235/144*n^4-339452815/48*n^5+4706975/144*n^6-465/8*n^7)*p5+3840*(-\
13108476421680+16692799717633/6*n-14304375250829/72*n^2+295894987331/48*n^3-\
13346081395/144*n^4+36589127/48*n^5-450355/144*n^6+29/8*n^7)*p3*p2+32/7*(
64896440-3723230*n+68810*n^2-420*n^3)*p1^7+192*(67888213440-37681305285/4*n+
11828489095/24*n^2-153436375/12*n^3+4329685/24*n^4-8125/6*n^5+25/6*n^6)*p1^5+
399360*p7*p3*p1^3-9676800*p7*p4*p1^2+52070400*p7*p4*p2+111513600*p7*p5*p1+1920*
(-442251752496+815169365825/12*n-276986724923/72*n^2+1273546535/12*n^3-\
113858921/72*n^4+38198/3*n^5-791/18*n^6)*p2*p1^3+3840*(2307876234360-\
420171064822*n+658132643303/24*n^2-40475902537/48*n^3+649966663/48*n^4-5667641/
48*n^5+24235/48*n^6-5/8*n^7)*p3*p1^2+345600*p8*p2*p1^3+11520*(-25087690497456+
43043566671375/4*n-14361150849301/9*n^2+15706570673047/144*n^3-185223262939/48*
n^4+10893749557/144*n^5-41468401/48*n^6+102059/18*n^7-611/36*n^8)*p2*p1-7680*p7
*p2*p1^4+7680*(58329075233520-135488128139373/4*n+107035649514067/16*n^2-\
5323721118388/9*n^3+14857222421731/576*n^4-165782247791/288*n^5+1957191785/288*
n^6-3303503/72*n^7+91807/576*n^8-5/32*n^9)*p3+138240*p7*p2^2*p1^2+11520*p5*p1^6
+69120*p3^2*p1^5-1920*p3*p2*p1^6-1069286400*p11*p2+25286400*p5*p4^2+138240*p5^2
*p1^3-2851430400*p12*p1-6589440*p10*p1^3-846743040*p10*p3+188697600*p11*p1^2+
105600*p9*p1^4+25660800*p9*p2^2-810374400*p9*p4+480*(879870-14102*n+30*n^2)*p4*
p3*p2*p1^2-618347520*p7*p6-697766400*p8*p5+43559040*p6*p4*p3+768*(-6937300+
110565*n-225*n^2)*p5*p3*p2*p1+1280/9*(7365620880-278808300*n+3285900*n^2-13680*
n^3)*p3^3+151557120*p10*p2*p1+23040*(10559470521600-193698950366471/12*n+
119503209875749/16*n^2-23447227103265/16*n^3+81473552696767/576*n^4-\
349582562239/48*n^5+6743666697/32*n^6-57409325/16*n^7+7181221/192*n^8-3689/16*n
^9+95/144*n^10)*p1+3840*(6703673538672-9007148060407/4*n+3290391716525/12*n^2-\
2341887036073/144*n^3+76414863655/144*n^4-1464875083/144*n^5+16990249/144*n^6-\
7105/9*n^7+85/36*n^8)*p1^3+47658240*p6*p5*p2-7499520*p6*p5*p1^2+22118400*p5^2*
p3+49674240*p6^2*p1-207360*p7*p2^3+19046400*p7*p3^2
[5, 4, 2, 2, 2, 2, 2, 2]
-2560*p3*p1^8+38400*(903411776-240981469/6*n+995785/2*n^2-12683/6*n^3+3/2*n^4)*
p4*p3*p1^2+28800*(681682764-26145648*n+289842*n^2-930*n^3)*p4*p2^2*p1+19200*(-\
136672404+5822638*n-69262*n^2+226*n^3)*p4*p2*p1^3+25600*(707577180-25938580*n+
278658*n^2-870*n^3)*p3^2*p2*p1+76800*(-4492747728+222219060*n-2963352*n^2+11172
*n^3)*p6*p2*p1+640/3*(2040-18*n)*p3*p2*p1^6+19200*(-106379212+7554003/2*n-36900
*n^2+153/2*n^3)*p3*p2^2*p1^2+6400*(21000948-1607237/2*n+8151*n^2-33/2*n^3)*p3*
p2*p1^4+115200*(-153158799544+30085890519/2*n-966940527/2*n^2+12686557/2*n^3-\
73443/2*n^4+71*n^5)*p4*p2*p1+76800*(28422730960-7560913039/3*n+300729279/4*n^2-\
2809982/3*n^3+19453/4*n^4-6*n^5)*p3*p2*p1^2+61440*(-5224546018+490505149/2*n-\
12188383/4*n^2+26825/2*n^3-45/4*n^4)*p5*p3*p1+46080*(806693060-74231991/2*n+
469734*n^2-3345/2*n^3)*p5*p2*p1^2+38400*(-4398095856+334462361/2*n-3797273/2*n^
2+15065/2*n^3-9/2*n^4)*p4*p3*p2+23040*(9931768-175536*n+510*n^2)*p5*p4*p1^2-\
35251200*p5*p4*p2*p1^2+228280320*p5*p4*p3*p1-19353600*p6*p3*p2*p1^2+309657600*
p6*p4*p2*p1+202752000*p7*p3*p2*p1+6400*(-418140+5400*n)*p3^2*p2^2*p1+12800/3*(
107220-1440*n)*p3^2*p2*p1^3+3200*(40824-486*n)*p3*p2^3*p1^2+1600*(-9648+108*n)*
p3*p2^2*p1^4+4800*(108660-1512*n)*p4*p2^2*p1^3+960*(-24620+336*n)*p4*p2*p1^5+
9600*(3298080-47574*n+54*n^2)*p4*p3*p2^2+3200*(220176-3698*n+6*n^2)*p4*p3*p1^4+
4800*(-442476+6048*n)*p4*p2^3*p1+10240*(-1454156+24285*n-45*n^2)*p5*p3*p1^3+
11520*(-794880+11070*n)*p5*p2^2*p1^2+3840*(186960-2700*n)*p5*p2*p1^4+14400*(
6104520-101040*n+240*n^2)*p4^2*p2*p1+12800*(5612580-82112*n+120*n^2)*p4*p3^2*p1
+57600*(-45312840+829656*n-1080*n^2)*p8*p2*p1+307200/7*(-50956360+823284*n-1540
*n^2)*p7*p3*p1+230400/7*(7757792-130368*n+84*n^2)*p7*p2*p1^2+38400*(-57536136+
955584*n-2688*n^2)*p6*p4*p1+25600*(-33416880+491652*n-756*n^2)*p6*p3*p2+25600*(
8819664-143304*n+252*n^2)*p6*p3*p1^2+19200*(5153904-72576*n)*p6*p2^2*p1+12800*(
-1249584+19152*n)*p6*p2*p1^3+23040*(-36882720+588546*n-1530*n^2)*p5*p4*p2-57600
*p4*p3*p2*p1^4+518400*p4*p3*p2^2*p1^2-4608000*p4*p3^2*p2*p1+1382400*p5*p3*p2*p1
^3-6220800*p5*p3*p2^2*p1+3200*(15020568-479034*n+3564*n^2)*p2^3*p1^3+640/7*(
493080-15358*n+84*n^2)*p2*p1^7+5120000*p4*p3^3+102651494400*p12*p1-10063872000*
p11*p1^2+19680460800*p10*p3+115200*(22952780520-1517990124*n+27904794*n^2-\
129600*n^3+90*n^4)*p8*p1+460800/7*(24011122128-1271900679*n+17860129*n^2-72415*
n^3+21*n^4)*p7*p2+460800/7*(-4519812528+819861203/3*n-4670029*n^2+60277/3*n^3-7
*n^4)*p7*p1^2+51200*(28812547344-1425804191*n+17618895*n^2-77455*n^3+63*n^4)*p6
*p3+25600*(855970752-47234768*n+739368*n^2-2884*n^3)*p6*p1^3+46080*(31684453080
-3097831793/2*n+37495231/2*n^2-185213/2*n^3+255/2*n^4)*p5*p4+38400*(282835920-\
4601340*n+9540*n^2)*p8*p3+19200*(10523352-238680*n+360*n^2)*p8*p1^3+230400/7*(
320732160-5056352*n+14000*n^2)*p7*p4+115200/7*(-31278240+463932*n-252*n^2)*p7*
p2^2+38400/7*(-1761088+35364*n-28*n^2)*p7*p1^4+30720*(339990000-5276124*n+16380
*n^2)*p6*p5+460800*(13325246558136-17580575878682/3*n+35807969031269/40*n^2-\
1012543805525/16*n^3+2313584126*n^4-553905613/12*n^5+15494147/30*n^6-51279/16*n
^7+209/24*n^8)*p2*p1+153600*(-1435347252936+833662877045/3*n-1395752257351/72*n
^2+30367253459/48*n^3-375147119/36*n^4+2084575/24*n^5-23971/72*n^6+5/16*n^7)*p3
*p1^2+115200*(-1640808330680+588191130063/2*n-74087735459/4*n^2+2136667017/4*n^
3-30946715/4*n^4+231593/4*n^5-361/2*n^6)*p2^2*p1+76800*(309412279008-\
311841427469/6*n+12929531095/4*n^2-580222943/6*n^3+17972335/12*n^4-35137/3*n^5+
110/3*n^6)*p2*p1^3+12800*(-5066639888+459380826*n-174319177/12*n^2+779743/4*n^3
-12395/12*n^4+5/4*n^5)*p3*p1^4+19200*(26348593692-4146637095/2*n+54373140*n^2-\
1201239/2*n^3+2475*n^4)*p2^3*p1+19200*(-4727764932+773858985/2*n-10820327*n^2+
249791/2*n^3-513*n^4)*p2^2*p1^3+3840*(841378780-417541157/6*n+1998222*n^2-\
140833/6*n^3+91*n^4)*p2*p1^5+230400*(5482990258592-38177014762777/30*n+
1240374316193/12*n^2-45589533301/12*n^3+135565877/2*n^4-5885741/10*n^5+29569/12
*n^6-43/12*n^7)*p4*p1+153600*(596235990504-76181701407*n+3238041828*n^2-\
55673065*n^3+370314*n^4-854*n^5)*p6*p1+92160*(-132204300216+44578959977/3*n-\
2274960643/4*n^2+27166525/3*n^3-231505/4*n^4+125*n^5)*p5*p1^2+76800*(
882248342080-287149524110/3*n+38050421993/12*n^2-119328287/3*n^3+724258/3*n^4-\
1784/3*n^5+1/4*n^6)*p4*p3+38400*(27113641024-16344592315/6*n+568284805/6*n^2-\
8380705/6*n^3+50915/6*n^4-50/3*n^5)*p4*p1^3+51200*(-167660639300+16138313995*n-\
3006871937/6*n^2+6277927*n^3-216895/6*n^4+70*n^5)*p3^2*p1+38400*(-160024979520+
13392262596*n-1439802359/4*n^2+16633465/4*n^3-83061/4*n^4+99/4*n^5)*p3*p2^2+
23040*(-4014999300+324517545/2*n-1869723*n^2+13005/2*n^3)*p5*p2^2+28800*(-\
5531509592+258772320*n-3243640*n^2+15860*n^3-20*n^4)*p4^2*p1+1920*(25955900-\
3532412/3*n+14978*n^2-142/3*n^3)*p4*p1^5+25600/3*(-144454620+5988916*n-69450*n^
2+230*n^3)*p3^2*p1^3+6400*(507470436-33108453/2*n+153657*n^2-621/2*n^3)*p3*p2^3
+2400*(-74846160+2270376*n-16848*n^2)*p2^4*p1+256*(-38960+570*n)*p5*p1^6+9600*(
-35466480+528460*n-1220*n^2)*p4^2*p3+320/7*(4788-56*n)*p4*p1^7+25600/9*(2993400
-37800*n)*p3^3*p2+25600/9*(-808200+10800*n)*p3^3*p1^2+1280/3*(-25980+360*n)*p3^
2*p1^5+800*(-162000+1944*n)*p3*p2^4+1280*(273840-4704*n)*p6*p1^5+18432*(-\
59758020+1003590*n-3150*n^2)*p5^2*p1+10240*(-33607880+482700*n-900*n^2)*p5*p3^2
+3840*(3157920-42120*n)*p5*p2^3+92160*(323082760-8508500*n+20020*n^2)*p10*p1+
51200*(252307440-4943862*n+8910*n^2)*p9*p2+51200*(-59481576+1473912*n-2970*n^2)
*p9*p1^2-1099008000*p8*p3*p2+366336000*p8*p3*p1^2+93312000*p8*p2^2*p1-20736000*
p8*p2*p1^3-4332994560*p7*p5*p1-1382400000*p7*p4*p2+460800000*p7*p4*p1^2-\
22528000*p7*p3*p1^3-4147200*p7*p2^2*p1^2-1509580800*p6*p5*p2+503193600*p6*p5*p1
^2-984883200*p6*p4*p3-34406400*p6*p4*p1^3+86016000*p6*p3^2*p1+29030400*p6*p3*p2
^2+1075200*p6*p3*p1^4+174182400*p5^2*p2*p1+52876800*p5*p4*p2^2-9216000*p5*p3^2*
p1^2-46080*p5*p3*p1^5+35136000*p4^2*p3*p2-11712000*p4^2*p3*p1^2+456192000*p9*p2
*p1^2-4192819200*p8*p4*p1+512000*p4*p3^2*p1^3+27648000*p5*p3^2*p2+1958400*p5*p4
*p1^4+460800*p7*p2*p1^4-5184000*p4^2*p2^2*p1+1152000*p4^2*p2*p1^3-518400*p4*p3*
p2^3+1280*p4*p3*p1^6-500097024000*p13+960*(-2825200+92100*n-648*n^2)*p2^2*p1^5+
1280/3*(-3897468+306739/2*n-1542*n^2+5/2*n^3)*p3*p1^6+7680*(-154187908+15481657
/2*n-110065*n^2+785/2*n^3)*p5*p1^4+92160*(753712581120-83577025852*n+
11616090703/4*n^2-157813617/4*n^3+942909/4*n^4-1995/4*n^5)*p5*p2+153600*(
7261546111656-4698066880213/3*n+904094018189/8*n^2-168103638529/48*n^3+
1231141235/24*n^4-1190668/3*n^5+17543/12*n^6-21/16*n^7)*p3*p2+921600*(-\
5279735260800+244395131642897/30*n-1376213226693199/360*n^2+103067998641784/135
*n^3-2408367191269/32*n^4+5715328058729/1440*n^5-4701274599/40*n^6+485011949/
240*n^7-5926849/288*n^8+103631/864*n^9-5/16*n^10)*p1+4800*(-1606200+29440*n-80*
n^2)*p4^2*p1^3+102400*(-113020787880+16379434071/2*n-318303117/2*n^2+1557171/2*
n^3-1485/2*n^4)*p9+184320*(-17401049866200+15080889682969/3*n-11892177957571/24
*n^2+339439252087/16*n^3-3327647791/8*n^4+44599847/12*n^5-47755/3*n^6+405/16*n^
7)*p5+921600/11*(-1707145440+46678632*n-120120*n^2)*p11+51200/9*(-4533318600+
160737270*n-1737540*n^2+6150*n^3)*p3^3+160/63*(-78288+2016*n)*p1^9-5535129600*
p10*p2*p1+7680*(-58050665160+55517762905/6*n-20273525999/36*n^2+203354489/12*n^
3-9673907/36*n^4+25613/12*n^5-115/18*n^6)*p1^5+307200*(-30158424288720+
53202195204950/3*n-31928762397691/9*n^2+45628322951687/144*n^3-3991673791681/
288*n^4+88090314583/288*n^5-500689145/144*n^6+1581859/72*n^7-19757/288*n^8+5/96
*n^9)*p3+19200*(-870464+13476*n-18*n^2)*p4*p3*p2*p1^2+30720*(5614320-85563*n+
135*n^2)*p5*p3*p2*p1+153600*(-3785143944744+20113637965183/15*n-12556260923123/
72*n^2+1607007761231/144*n^3-28345028221/72*n^4+2895376403/360*n^5-6898147/72*n
^6+90323/144*n^7-125/72*n^8)*p1^3+921600/7*(-2483275835040+1111108499284/3*n-\
35470708245/2*n^2+328190191*n^3-6785947/3*n^4+16877/3*n^5-7/6*n^6)*p7+1280/7*(-\
147599396+24076633/2*n-1021111/3*n^2+7595/2*n^3-35/3*n^4)*p1^7-3872563200*p9*p3
*p1-2167603200*p6^2*p1+4147200*p7*p2^3-409600000*p7*p3^2+18373017600*p7*p6+
691200*p8*p1^5+18786816000*p8*p5+30191616000*p11*p2+40320000*p4^3*p1-25344000*
p9*p1^4-684288000*p9*p2^2+19160064000*p9*p4+615014400*p10*p1^3-527385600*p5*p4^
2-19353600*p5^2*p1^3-526417920*p5^2*p3-10240*p7*p1^6-38400*p4^2*p1^5
[5, 3, 3, 3, 3, 2]
4228200*p8*p1^3+112440960*p5*p3*p2*p1+25369200*p5*p4*p1^2+15785280*p6*p3*p1^2+
60186240*p7*p2*p1^2+23522400*p4*p3^2*p1-867801600*p7*p3*p1-455479200*p9*p1^2-\
360417600*p5*p3^2+15552000*p3^3*p2-440899200*p5^2*p1+1215/4*(390320-9640*n+80*n
^2)*p4^2*p2*p1+810*(-1710912+36946*n-322*n^2)*p6*p4*p1+540*(-4046364+68712*n-\
504*n^2)*p6*p3*p2+405*(437584-10500*n+84*n^2)*p6*p2^2*p1+486*(-5141820+103020*n
-720*n^2)*p5*p4*p2+1215*(-2037840+42660*n-360*n^2)*p8*p2*p1+1296*(-189061560+
5656860*n-43380*n^2)*p5*p3*p1+972*(16893840-505260*n+3960*n^2)*p5*p2*p1^2+810*(
-454652532+21988852*n-404436*n^2+3776*n^3-12*n^4)*p4*p3*p2+810*(12096168-254208
*n+2064*n^2)*p4*p3*p1^2+1620*(-229657848+34003109/3*n-449855/2*n^2+7273/3*n^3-\
21/2*n^4)*p6*p2*p1+405/2*(800256-16320*n+96*n^2)*p4*p3*p2^2+405/4*(-95136+2464*
n-16*n^2)*p4*p2^3*p1+405*(-2692416+75168*n-576*n^2)*p3*p2^2*p1^2+1215/2*(
46005264-7023584/3*n+51742*n^2-1696/3*n^3+2*n^4)*p4*p2^2*p1+405*(-1085016+23352
*n-192*n^2)*p4*p2*p1^3+540*(29164320-846360*n+6480*n^2)*p3^2*p2*p1+2430*(-\
9871651488+907374920*n-97095245/3*n^2+1995665/3*n^3-52129/6*n^4+193/3*n^5-1/6*n
^6)*p4*p2*p1+1620*(996428304-65714420*n+1573464*n^2-17512*n^3+72*n^4)*p3*p2*p1^
2-6415200*p9*p2^2+45975600*p9*p4+22239360*p10*p3+1944*(9532380-168740*n+1430*n^
2)*p10*p1+1080*(29676240-836550*n+5940*n^2)*p9*p2+810*(20680380-276840*n+2160*n
^2)*p8*p3+4860/7*(27974520-563640*n+4200*n^2)*p7*p4+35380800*p12*p1+81*(1111320
-25440*n+120*n^2)*p5*p2^3+2430/7*(-6030528+156240*n-1008*n^2)*p7*p2^2+648*(
26840520-399525*n+3045*n^2)*p6*p5+23182200*p8*p5+972*(2726798760-144003070*n+
2562555*n^2-23975*n^3+90*n^4)*p5*p4+29393280*p7*p6+405/2*(-3342840+63120*n-480*
n^2)*p4^2*p3-2086560*p6*p4*p3+272160*p6*p3*p2^2-5559840*p10*p2*p1-2988900*p8*p4
*p1-3499200*p8*p3*p2+810*p4*p2^4*p1+405*(-100769088+6035340*n-138270*n^2+1512*n
^3-6*n^4)*p2^2*p1^3+81*(3149760-90360*n+720*n^2)*p2*p1^5+4860*(492416769120-\
629255616199/6*n+62511266615/8*n^2-1112004613/4*n^3+554818345/96*n^4-329243/4*n
^5+39233/48*n^6-29/6*n^7+1/96*n^8)*p4*p1+3240*(745732470960-326562711689/2*n+
51172381627/4*n^2-495150702*n^3+22628037/2*n^4-165609*n^5+5987/4*n^6-13/2*n^7)*
p3*p2+3240*(-96394023360+14937505959*n-793931882*n^2+19818998*n^3-275098*n^4+
2029*n^5-6*n^6)*p3*p1^2+1944*(72986605200-17518285975/2*n+1531737365/4*n^2-\
17085745/2*n^3+214375/2*n^4-680*n^5+5/4*n^6)*p5*p2+1944*(-5358131100+414585675*
n-10432335*n^2+118275*n^3-495*n^4)*p5*p1^2+1620*(81187298460-8979123546*n+
336427951*n^2-6130051*n^3+67639*n^4-434*n^5+n^6)*p4*p3+810*(536360472-28902684*
n+537354*n^2-5430*n^3+24*n^4)*p4*p1^3+405/8*(-9566016+1587320/3*n-11968*n^2+328
/3*n^3)*p2^4*p1+135/2*(248688-6528*n+48*n^2)*p2^3*p1^3+3240*(40870739196-\
13520388812/3*n+2038236599/12*n^2-25384219/8*n^3+903917/24*n^4-6671/24*n^5+7/8*
n^6)*p6*p1+1215/2*(-228501840+29298890/3*n-200910*n^2+6670/3*n^3-10*n^4)*p4^2*
p1+135*(88208136-4637296*n+92904*n^2-752*n^3)*p3*p2^3+2430*(1087679160-56512405
*n+985965*n^2-9905*n^3+45*n^4)*p8*p1+9720/7*(2380779576-153820576*n+3540138*n^2
-36428*n^3+126*n^4)*p7*p2+9720/7*(-90135864+2782584*n-21672*n^2)*p7*p1^2+1080*(
2393488440-119266441*n+1840272*n^2-15974*n^3+63*n^4)*p6*p3+540*(5473440-85386*n
+714*n^2)*p6*p1^3-22680*p6*p2^3*p1+349920*p5*p4*p2^2+194400*p4^2*p3*p2+437400*
p8*p2^2*p1-5832000*p7*p4*p2-3946320*p6*p5*p2-771120*p6*p2*p1^3-3849120*p5*p2^2*
p1^2-267300*p4^2*p1^3-3343680*p4*p3*p2*p1^2-832809600*p13-3499200*p3^2*p2^2*p1+
77760*p4*p2^2*p1^3+155520*p3*p2^3*p1^2-1620*p2^4*p1^3-32367600*p5*p1^4+379080*
p4*p1^5+4354560*p3*p2*p1^4-174960*p1^7-24300*p4^2*p2^2*p1+486*(-504900000+
29171350*n-623355*n^2+5900*n^3-15*n^4)*p5*p2^2+270*(-36206568+1030608*n-8064*n^
2)*p3*p1^4+405*(1952642592-530689256/3*n+20420684/3*n^2-152349*n^3+6040/3*n^4-\
37/3*n^5)*p2^3*p1+810*(-16485795792+1647653842*n-63965689*n^2+1330014*n^3-15749
*n^4+86*n^5)*p3*p2^2+1080*(-9564086880+730526790*n-17842050*n^2+198150*n^3-810*
n^4)*p3^2*p1+2430*(-137850584480+23471152768*n-3019044029/2*n^2+631937215/12*n^
3-1195214*n^4+37337/2*n^5-375/2*n^6+11/12*n^7)*p2^2*p1-12960*p4*p3*p2^3+521640*
p6*p4*p2*p1+19440/7*(-239488409160+36246292663*n-1900244353*n^2+93211041/2*n^3-\
1240729/2*n^4+8449/2*n^5-21/2*n^6)*p7-64152000*p3^2*p1^3-58320*p2^2*p1^5+81/16*
(20800-480*n)*p2^5*p1+135/8*(-168480+3264*n)*p3*p2^4+9720*(1441916992704-\
1815502300069/3*n+6364636077643/72*n^2-881581979495/144*n^3+68296811605/288*n^4
-3413559277/576*n^5+15208229/144*n^6-393293/288*n^7+1127/96*n^8-29/576*n^9)*p2*
p1+19440*(-658680422400+5998270996159/6*n-66126394647701/144*n^2+51796246054741
/576*n^3-1689567502909/192*n^4+1100335609031/2304*n^5-9115312913/576*n^6+
815492203/2304*n^7-1100687/192*n^8+52135/768*n^9-311/576*n^10+5/2304*n^11)*p1+
1620*(14062989984-1706713719*n+151811993/2*n^2-1757175*n^3+23679*n^4-174*n^5+1/
2*n^6)*p2*p1^3+19440/11*(-140900760+4114110*n-30030*n^2)*p11+2160*(-9979449480+
1506486135/2*n-36607725/2*n^2+391875/2*n^3-1485/2*n^4)*p9+162*(-1028941920+
78266550*n-1886250*n^2+21150*n^3-90*n^4)*p1^5+6480*(-3502394138880+
8134865916587/4*n-19568500105867/48*n^2+1817441956045/48*n^3-358274929693/192*n
^4+5194955617/96*n^5-96910631/96*n^6+598445/48*n^7-6179/64*n^8+35/96*n^9)*p3+
106142400*p11*p2+3888*(-1846780135200+2126618908135/4*n-865657982855/16*n^2+
41594868715/16*n^3-4368114345/64*n^4+17338955/16*n^5-331195/32*n^6+415/8*n^7-5/
64*n^8)*p5+120*(-321780600+8715600*n-64800*n^2)*p3^3+3240*(-334982356416+
200521811377/2*n-83164326579/8*n^2+4036262587/8*n^3-430415477/32*n^4+1773975/8*
n^5-36447/16*n^6+53/4*n^7-1/32*n^8)*p1^3+233280*p7*p2^3-1270080*p6^2*p1-1385100
*p5*p4^2+60750*p4^3*p1-4860*p5*p2^4
[5, 3, 3, 3, 2, 2, 2]
405*(-7037472+120560*n-464*n^2)*p4*p3*p2^2+405/2*(1004096-19848*n+88*n^2)*p4*p2
^3*p1+405/2*(-64896+1208*n-8*n^2)*p4*p2^2*p1^3+2160*(-306287520+7552710*n-40590
*n^2)*p9*p2+1215/2*(-5801800+109320*n-680*n^2)*p4^2*p2*p1+486*(660340-12180*n+
60*n^2)*p5*p2^2*p1^2+2160*(21964800-434610*n+2970*n^2)*p9*p1^2+1620*(-292038360
+5231880*n-27720*n^2)*p8*p3+972*(50027410-877600*n+4720*n^2)*p5*p4*p2+972*(-\
3352030+52680*n-360*n^2)*p5*p4*p1^2+810*(-6261024+128352*n-672*n^2)*p6*p2^2*p1+
540*(349384-5418*n+42*n^2)*p6*p2*p1^3+9720/7*(-3944640+79128*n-504*n^2)*p7*p2*
p1^2+1620*(35847812-610974*n+3934*n^2)*p6*p4*p1+1080*(46117498-787752*n+3696*n^
2)*p6*p3*p2+1080*(-2880878+35364*n-252*n^2)*p6*p3*p1^2+2430*(37027800-843660*n+
4860*n^2)*p8*p2*p1+12960/7*(31917144-513072*n+3024*n^2)*p7*p3*p1+1080*(-\
572985528+23755464*n-352968*n^2+2112*n^3)*p3^2*p2*p1+810*(69754780-2958772*n+
47084*n^2-304*n^3)*p3*p2^2*p1^2+270*(-4022400+107328*n-768*n^2)*p3*p2*p1^4+9720
/7*(-327489960+5637240*n-32760*n^2)*p7*p4+4860/7*(51992976-1120560*n+5712*n^2)*
p7*p2^2+3240*(3541638352-372806567/2*n+13730549/4*n^2-56833/2*n^3+315/4*n^4)*p6
*p2*p1+2592*(3699743400-167693700*n+2549025*n^2-18690*n^3+45*n^4)*p5*p3*p1+1944
*(-436369520+20013945*n-688865/2*n^2+2815*n^3-15/2*n^4)*p5*p2*p1^2+1620*(
5006667062-679118776/3*n+3585204*n^2-77672/3*n^3+52*n^4)*p4*p3*p2+270*(706560-\
9216*n)*p3^2*p2^2*p1+135*(-93008+1344*n)*p3*p2^3*p1^2+3888*(-207501580+5208060*
n-31460*n^2)*p10*p1+540*(-3897408+52704*n-288*n^2)*p4*p3^2*p1+432*(37420560-\
524880*n+2160*n^2)*p5*p3^2+1296*(-338374680+5235405*n-29085*n^2)*p6*p5-38880*p4
*p3*p2^2*p1^2+311040*p4*p3^2*p2*p1+466560*p5*p3*p2^2*p1+699840*p5*p4*p2*p1^2-\
5598720*p5*p4*p3*p1+544320*p6*p3*p2*p1^2+3240*(-18590327992+1542282767*n-\
97444891/2*n^2+819095*n^3-15541/2*n^4+34*n^5)*p3*p2*p1^2+4860*(131340350268-\
12770869693*n+904400149/2*n^2-98185367/12*n^3+336563/4*n^4-5389/12*n^5+3/4*n^6)
*p4*p2*p1+1620*(-414902202+16101288*n-236678*n^2+1852*n^3-6*n^4)*p4*p3*p1^2+
1215*(-627834088+29839432*n-527850*n^2+4252*n^3-10*n^4)*p4*p2^2*p1+810*(
47605880-5716924/3*n+31197*n^2-830/3*n^3+n^4)*p4*p2*p1^3+810*(-1870440+22500*n-\
180*n^2)*p8*p1^3-19440*p5*p2^3*p1^2+79334640*p6*p5*p2-3946320*p6*p5*p1^2+
50289120*p6*p4*p3+173880*p6*p4*p1^3-2177280*p6*p3^2*p1-4263840*p6*p3*p2^2+
385560*p6*p2^3*p1-22680*p6*p2^2*p1^3+250192800*p10*p2*p1+102643200*p9*p3*p1+81*
(-2093160+40960*n-320*n^2)*p4*p1^5+360*(37250064-997992*n+6984*n^2)*p3^2*p1^3+
405/4*(103928896-4917280*n+86912*n^2-608*n^3)*p2^4*p1+135*(-8481456+1087204/3*n
-6092*n^2+128/3*n^3)*p2^3*p1^3+19440/7*(2345160636-120479114*n+2096829*n^2-\
18466*n^3+63*n^4)*p7*p1^2+2160*(-29141363160+4586897728/3*n-47798233/2*n^2+
524993/3*n^3-861/2*n^4)*p6*p3+135/4*(1118080-18048*n)*p3*p2^4+81/8*(-160800+
2880*n)*p2^5*p1+135/8*(11872-192*n)*p2^4*p1^3+405/2*(291800-5000*n+40*n^2)*p4^2
*p1^3+120*(-5175360+62208*n)*p3^3*p2+162*(-8160420+158700*n-660*n^2)*p5*p2^3+
405*(41114480-665840*n+3760*n^2)*p4^2*p3+3888/5*(35641200-544950*n+3150*n^2)*p5
^2*p1-3240000*p4^2*p3*p2+194400*p4^2*p3*p1^2+437400*p4^2*p2^2*p1-16200*p4^2*p2*
p1^3+138240*p4*p3*p2^3-4898880*p5^2*p2*p1-4937760*p5*p4*p2^2-1866240*p5*p3^2*p2
+21097843200*p13+25971840*p7*p1^4-257040*p6*p1^5+78226560*p5*p3*p1^3-3343680*p5
*p2*p1^4-1529280*p4*p3*p1^4+51840*p4*p2*p1^5+28823040*p3^3*p1^2-5028480*p3^2*p2
*p1^3+207360*p3*p2^2*p1^4-2160*p2^3*p1^5+4860*(-17386194840+1088266830*n-\
21927675*n^2+191910*n^3-585*n^4)*p8*p1+81/2*(435760-11120*n+80*n^2)*p2^2*p1^5+
1080*(-273208992+65601263/6*n-610211/4*n^2+7525/6*n^3-21/4*n^4)*p6*p1^3+1944*(-\
31931557560+4945905215/3*n-25164790*n^2+574390/3*n^3-545*n^4)*p5*p4+19440/7*(-\
25828065396+1542396226*n-29714937*n^2+241682*n^3-651*n^4)*p7*p2+1215*(
3920920360-179596100*n+2890660*n^2-24080*n^3+80*n^4)*p4^2*p1+324*(26152080-\
707880*n+5160*n^2)*p5*p1^4+972*(4936867040-748359320/3*n+4377695*n^2-101350/3*n
^3+75*n^4)*p5*p2^2+162*(-193737760+11405300*n-250590*n^2+2580*n^3-10*n^4)*p2*p1
^5+1620*(174505112784-16337556448*n+1672698433/3*n^2-29036938/3*n^3+278273/3*n^
4-1208/3*n^5)*p3*p2^2+4860*(1593115659200-840674511671/3*n+54307894627/3*n^2-\
2384526667/4*n^3+141721615/12*n^4-598757/4*n^5+13957/12*n^6-13/3*n^7)*p2^2*p1+
6480*(1256136125440-891751418121/4*n+343990716769/24*n^2-3648842925/8*n^3+
16959757/2*n^4-802861/8*n^5+17411/24*n^6-5/2*n^7)*p3*p1^2+6480*(-7836832037120+
20597582836789/12*n-3140839547503/24*n^2+37325082915/8*n^3-182970463/2*n^4+
26491025/24*n^5-192797/24*n^6+167/6*n^7)*p3*p2+9720*(-5525294677680+
3720046235818/3*n-98289731216*n^2+44244238607/12*n^3-1827889589/24*n^4+2891297/
3*n^5-29831/4*n^6+373/12*n^7-1/24*n^8)*p4*p1+810*(-24090717432+2105961268*n-\
72382769*n^2+3972758/3*n^3-13567*n^4+190/3*n^5)*p2^3*p1+540*(1672489488-\
108025976*n+2432136*n^2-25072*n^3+96*n^4)*p3*p1^4+2160*(139118538816-\
12798054946*n+412758288*n^2-6614372*n^3+58878*n^4-240*n^5)*p3^2*p1+1620*(-\
13599610476+3320358977/3*n-197196377/6*n^2+6201131/12*n^3-61237/12*n^4+377/12*n
^5-1/12*n^6)*p4*p1^3+3888*(91772912040-36460886275/4*n+2579525405/8*n^2-\
45367665/8*n^3+233175/4*n^4-2585/8*n^5+5/8*n^6)*p5*p1^2+3240*(-911506086600+
305856169991/3*n-11216427583/3*n^2+369969229/6*n^3-3430001/6*n^4+16459/6*n^5-23
/6*n^6)*p4*p3-13267800*p6*p4*p2*p1+6480*(-528867759756+128783324929/2*n-\
2713954467*n^2+1285513663/24*n^3-4577111/8*n^4+74837/24*n^5-49/8*n^6)*p6*p1+
3888*(-792630555480+369851046165/4*n-88487304565/24*n^2+1650565075/24*n^3-\
4170005/6*n^4+85055/24*n^5-45/8*n^6)*p5*p2+270*(-788820492+107783356/3*n-591788
*n^2+11504/3*n^3)*p3*p2^3-12830400*p9*p2*p1^2+1296*(-5081400+80280*n-360*n^2)*
p5*p3*p2*p1+810*(511040-8016*n+48*n^2)*p4*p3*p2*p1^2+7776*(19078126267200-\
11074309452735/2*n+13451146453415/24*n^2-1242698355845/48*n^3+14659744985/24*n^
4-385129865/48*n^5+2926225/48*n^6-5845/24*n^7+5/16*n^8)*p5+810*(2404025256-\
185305088*n+17327347/3*n^2-297934/3*n^3+2969/3*n^4-14/3*n^5)*p2^2*p1^3+38880/11
*(1707145440-49279230*n+270270*n^2)*p11+3240*(-223674353504+99057442324/3*n-\
22159136825/12*n^2+435089513/8*n^3-7949365/8*n^4+286109/24*n^5-2159/24*n^6+1/3*
n^7)*p2*p1^3+112849200*p8*p4*p1+19440*(-14713881655424+19027558215296/3*n-\
15249600383961/16*n^2+269620449963/4*n^3-497319991081/192*n^4+5816552473/96*n^5
-30159907/32*n^6+476645/48*n^7-12761/192*n^8+7/32*n^9)*p2*p1-3499200*p8*p3*p1^2
+324*(27643089760-3352190425*n+905203765/6*n^2-6821595/2*n^3+43505*n^4-595/2*n^
5+5/6*n^6)*p1^5+93312000*p8*p3*p2+291600*p8*p2*p1^3-12247200*p8*p2^2*p1+12960*(
34514361073920-121379912003681/6*n+146638304106145/36*n^2-53926822860445/144*n^
3+5093734834649/288*n^4-33411618979/72*n^5+528139913/72*n^6-1336471/18*n^7+
44713/96*n^8-205/144*n^9)*p3+6480*(3779576850048-3723554829283/3*n+
21186507922291/144*n^2-616601609321/72*n^3+163936878421/576*n^4-1734677317/288*
n^5+25069889/288*n^6-124409/144*n^7+1055/192*n^8-5/288*n^9)*p1^3+240*(
4714707168-184966272*n+2568672*n^2-14400*n^3)*p3^3+86780160*p7*p5*p1+4320*(
114766732080-8647514975*n+390259815/2*n^2-1665235*n^3+9405/2*n^4)*p9+38880*(
6257464012800-19170781196217/2*n+71354040649187/16*n^2-28329142427491/32*n^3+
50406180942383/576*n^4-5453969931937/1152*n^5+174708574363/1152*n^6-900223781/
288*n^7+798331/18*n^8-502421/1152*n^9+1061/384*n^10-5/576*n^11)*p1-11197440*p7*
p3*p2*p1+54/7*(10620960-335160*n+2520*n^2)*p1^7+96811200*p7*p4*p2-733082400*p8*
p5+94089600*p9*p2^2+38880/7*(2608207842240-396495327431*n+40515363861/2*n^2-\
450080127*n^3+9769501/2*n^4-25732*n^5+49*n^6)*p7+699840*p7*p2^2*p1^2-5832000*p7
*p4*p1^2+106142400*p11*p1^2-2016705600*p11*p2+26438400*p5*p4^2+1080*p4*p2^3*p1^
3-922363200*p9*p4-1853280*p10*p1^3-971118720*p10*p3-9720*p4*p2^4*p1-2405894400*
p12*p1-2877120*p7*p2^3+22394880*p7*p3^2-706527360*p7*p6-414720*p4*p3^3+19595520
*p5^2*p3+44452800*p6^2*p1-38880*p2*p1^7-1458000*p4^3*p1+58320*p5*p2^4+1762560*
p3*p1^6
[5, 3, 3, 2, 2, 2, 2, 2]
-2880*p2^2*p1^7-17280*p1^9+2400*(38257560-1557628*n+21870*n^2-116*n^3)*p3*p2*p1
^4+28800*(-11920477968+641642176*n-11087391*n^2+80024*n^3-189*n^4)*p6*p2*p1+
23040*(-13198345740+645842250*n-19380825/2*n^2+63390*n^3-255/2*n^4)*p5*p3*p1+
9600*(2043926772-87114728*n+1247136*n^2-6712*n^3)*p3^2*p2*p1+4800*(-2825424+
53445*n-273*n^2)*p6*p2*p1^3+7200*(-301732024+39531068/3*n-198228*n^2+3340/3*n^3
)*p3*p2^2*p1^2+28800*(67851341960-18499144354/3*n+2461200995/12*n^2-10111117/3*
n^3+352297/12*n^4-334/3*n^5)*p3*p2*p1^2+17280*(1911976060-284016484/3*n+6325571
/4*n^2-34115/3*n^3+105/4*n^4)*p5*p2*p1^2+14400*(-13803665688+605959930*n-\
8839549*n^2+54728*n^3-83*n^4)*p4*p3*p2+14400*(2006156920-273606578/3*n+1368625*
n^2-26776/3*n^3+17*n^4)*p4*p3*p1^2+10800*(2066384680-285544175/3*n+3029469/2*n^
2-30592/3*n^3+37/2*n^4)*p4*p2^2*p1+7200*(-285102936+13001817*n-419411/2*n^2+
1500*n^3-7/2*n^4)*p4*p2*p1^3+43200*(-395577294912+241154916433/6*n-17186124275/
12*n^2+48397947/2*n^3-1318739/6*n^4+2941/3*n^5-5/4*n^6)*p4*p2*p1+3840*(-2546100
+38520*n-180*n^2)*p5*p3*p1^3+4320*(-3082376+55620*n-240*n^2)*p5*p2^2*p1^2+1440*
(353400-5820*n+30*n^2)*p5*p2*p1^4+5400*(20578120-345400*n+1600*n^2)*p4^2*p2*p1+
4800*(17573520-251232*n+768*n^2)*p4*p3^2*p1+9600*(19438944-324534*n+1470*n^2)*
p6*p3*p1^2+7200*(21052080-401373*n+1785*n^2)*p6*p2^2*p1+8640*(-136224000+
2216812*n-9934*n^2)*p5*p4*p2+8640*(20725064-347120*n+1820*n^2)*p5*p4*p1^2+21600
*(-134932320+2987640*n-14400*n^2)*p8*p2*p1+115200/7*(-134779680+2373336*n-10584
*n^2)*p7*p3*p1+86400/7*(20335560-421428*n+2100*n^2)*p7*p2*p1^2+14400*(-\
145488168+2428503*n-11907*n^2)*p6*p4*p1+9600*(-129331440+2136918*n-8526*n^2)*p6
*p3*p2-34560000*p5*p4*p2*p1^2+243302400*p5*p4*p3*p1-30643200*p6*p3*p2*p1^2+
394934400*p6*p4*p2*p1+398131200*p7*p3*p2*p1+3600*(18318480-281312*n+824*n^2)*p4
*p3*p2^2+1200*(299064-3936*n+24*n^2)*p4*p3*p1^4+1800*(-3067836+52128*n-180*n^2)
*p4*p2^3*p1+1800*(424152-7256*n+32*n^2)*p4*p2^2*p1^3+360*(-40380+592*n-4*n^2)*
p4*p2*p1^5+2400*(-2555760+33024*n)*p3^2*p2^2*p1+1600*(332784-3744*n)*p3^2*p2*p1
^3+1200*(404232-5472*n)*p3*p2^3*p1^2+600*(-46776+528*n)*p3*p2^2*p1^4-57600*p4*
p3*p2*p1^4+1324800*p4*p3*p2^2*p1^2-8755200*p4*p3^2*p2*p1+1382400*p5*p3*p2*p1^3-\
15897600*p5*p3*p2^2*p1+9600*(1642577076-87017511*n+3038469/2*n^2-11655*n^3+63/2
*n^4)*p6*p1^3+17280*(88852746780-4580873882*n+260661159/4*n^2-431042*n^3+4057/4
*n^4)*p5*p4+2880*(-245910324+11341480*n-712065/4*n^2+1340*n^3-15/4*n^4)*p5*p1^4
+60*(6360-72*n)*p2^3*p1^5+9216000*p4*p3^3+150*(-61632+864*n)*p2^4*p1^3+7200*(
17916120-386640*n+2160*n^2)*p8*p1^3+86400/7*(953837640-15722364*n+73668*n^2)*p7
*p4+43200*(-4283796828144+1564159968545/2*n-466327191404/9*n^2+20271929159/12*n
^3-4527495821/144*n^4+17264351/48*n^5-350003/144*n^6+365/48*n^7)*p2^2*p1+28800*
(731634309504-241061946669/2*n+90416857765/12*n^2-5787650233/24*n^3+216695677/
48*n^4-2502785/48*n^5+16975/48*n^6-53/48*n^7)*p2*p1^3+34560*(2069956563960-\
724686726287/3*n+56132960833/6*n^2-1289743595/8*n^3+34992683/24*n^4-156743/24*n
^5+75/8*n^6)*p5*p2+34560*(-313033687608+104159016668/3*n-8181085565/6*n^2+
599962843/24*n^3-5729407/24*n^4+27205/24*n^5-15/8*n^6)*p5*p1^2+28800*(
2398952182560-812954135743/3*n+117746145085/12*n^2-151991466*n^3+15257897/12*n^
4-15713/3*n^5+11/2*n^6)*p4*p3+19200*(-426875416380+41957561494*n-1414922543*n^2
+22153750*n^3-183763*n^4+670*n^5)*p3^2*p1+4800*(-9610093968+825322697*n-\
105048637/4*n^2+828469/2*n^3-13859/4*n^4+25/2*n^5)*p3*p1^4+7200*(72912330144-\
12765102749/2*n+837261441/4*n^2-13923923/4*n^3+124047/4*n^4-483/4*n^5)*p2^3*p1+
7200*(-10575191184+2703341611/3*n-88192177/3*n^2+982193/2*n^3-13175/3*n^4+103/6
*n^5)*p2^2*p1^3+1440*(1437953840-682115729/6*n+41218121/12*n^2-635275/12*n^3+
5239/12*n^4-19/12*n^5)*p2*p1^5+57600*(19473776014032-4311730102473*n+
984338666870/3*n^2-272722706395/24*n^3+2495348237/12*n^4-27382355/12*n^5+176939
/12*n^6-1063/24*n^7)*p3*p2+57600*(1524153042972-196255739008*n+34719100969/4*n^
2-1368170853/8*n^3+13234333/8*n^4-62419/8*n^5+105/8*n^6)*p6*p1+240/7*(441840-\
11928*n+84*n^2)*p2*p1^7+360*(-5176144+615068/3*n-2862*n^2+46/3*n^3)*p2^2*p1^5+
160*(-3693240+105480*n-720*n^2)*p3*p1^6+900*(-315301056+13977000*n-217332*n^2+
1260*n^3)*p2^4*p1+1200*(44108064-1935792*n+29946*n^2-174*n^3)*p2^3*p1^3+10800*(
-13862112960+2010925150/3*n-9983885*n^2+205280/3*n^3-165*n^4)*p4^2*p1+720*(
32922040-3866651/3*n+35597/2*n^2-406/3*n^3+1/2*n^4)*p4*p1^5+3200*(-278553564+
11584392*n-160920*n^2+840*n^3)*p3^2*p1^3+2400*(2044408968-87862032*n+1304346*n^
2-7248*n^3)*p3*p2^3+43200*(57480093720-3863604240*n+79275600*n^2-602370*n^3+
1530*n^4)*p8*p1+172800/7*(70111195056-4094324472*n+72938733*n^2-523152*n^3+1239
*n^4)*p7*p2+172800/7*(-10051770960+601711628*n-11464173*n^2+87976*n^3-231*n^4)*
p7*p1^2+3200/3*(-2280960+25920*n)*p3^3*p1^2+300*(-2670480+37152*n)*p3*p2^4-\
3801600*p3^2*p1^5+90*(442800-6480*n)*p2^5*p1+3840*(-117882000+1711440*n-5760*n^
2)*p5*p3^2+1440*(20201400-354672*n+1350*n^2)*p5*p2^3+3600*(-122180400+1840720*n
-7360*n^2)*p4^2*p3+1800*(-2740320+46120*n-280*n^2)*p4^2*p1^3+14400/7*(-2289672+
40068*n-252*n^2)*p7*p1^4+11520*(993610800-15166158*n+71106*n^2)*p6*p5+480*(
243600-2793*n+21*n^2)*p6*p1^5+6912*(-148000860+2363550*n-11550*n^2)*p5^2*p1+
34560*(801981180-21666645*n+105105*n^2)*p10*p1+19200*(-124675848+3074940*n-\
15840*n^2)*p9*p1^2+14400*(869248800-15787440*n+69120*n^2)*p8*p3+1440*p4*p2^2*p1
^5+103109760*p5*p4*p2^2+518400*p5*p4*p1^4+52531200*p5*p3^2*p2-8294400*p5*p3^2*
p1^2+777600*p5*p2^3*p1^2-43200*p5*p2^2*p1^4+64800000*p4^2*p3*p2-11808000*p4^2*
p3*p1^2-10260000*p4^2*p2^2*p1+1080000*p4^2*p2*p1^3+460800*p4*p3^2*p1^3-2419200*
p4*p3*p2^3+194400*p4*p2^4*p1-43200*p4*p2^3*p1^3-29030400*p7*p2^2*p1^2+1036800*
p7*p2*p1^4-1938263040*p6*p5*p2+299980800*p6*p5*p1^2-1302336000*p6*p4*p3-\
17337600*p6*p4*p1^3+109670400*p6*p3^2*p1+97171200*p6*p3*p2^2+403200*p6*p3*p1^4-\
9979200*p6*p2^3*p1+1411200*p6*p2^2*p1^3-20160*p6*p2*p1^5+181440000*p5^2*p2*p1-\
8302694400*p10*p2*p1-4713984000*p9*p3*p1+665280000*p9*p2*p1^2-4241808000*p8*p4*
p1-2358720000*p8*p3*p2+368064000*p8*p3*p1^2+359640000*p8*p2^2*p1-32400000*p8*p2
*p1^3-3632947200*p7*p5*p1+3200/3*(15482880-190080*n)*p3^3*p2-562609152000*p13+
19200*(81404788752-4300274160*n+64349166*n^2-419412*n^3+882*n^4)*p6*p3+8640*(-\
13132637964+631522966*n-40413613/4*n^2+68652*n^3-555/4*n^4)*p5*p2^2+86400*(
14297496232320-6670590863451/2*n+9923844320975/36*n^2-21348277011/2*n^3+
15736171249/72*n^4-122954171/48*n^5+2524985/144*n^6-2965/48*n^7+1/16*n^8)*p4*p1
+14400*(-460245783120+127180545691/3*n-16499185375/12*n^2+43833051/2*n^3-\
2240921/12*n^4+4189/6*n^5)*p3*p2^2+14400*(58079061528-16919609824/3*n+597312508
/3*n^2-13685029/4*n^3+383909/12*n^4-1817/12*n^5+1/4*n^6)*p4*p1^3+345600*(-\
14079294028800+43527131739617/2*n-738767027055451/72*n^2+99328042233791/48*n^3-\
1663656933149/8*n^4+6564874110551/576*n^5-420546734213/1152*n^6+8430500179/1152
*n^7-56117711/576*n^8+125369/144*n^9-5597/1152*n^10+5/384*n^11)*p1+172800*(
35230341984768-15565018423002*n+173160512507251/72*n^2-6289579684751/36*n^3+
1961207043581/288*n^4-22510176461/144*n^5+328199251/144*n^6-781817/36*n^7+36625
/288*n^8-17/48*n^9)*p2*p1+57600*(-3589387410960+687700602837*n-144509573783/3*n
^2+13202092501/8*n^3-63034011/2*n^4+4322365/12*n^5-14345/6*n^6+175/24*n^7)*p3*
p1^2+43200/7*(-135145080+2683716*n-12012*n^2)*p7*p2^2+19200*(842113800-19597644
*n+91278*n^2)*p9*p2+69120*(-46429894110600+13638805287300*n-1388439096027*n^2+
3045375053239/48*n^3-45759206791/32*n^4+410016995/24*n^5-1851493/16*n^6+19555/
48*n^7-15/32*n^8)*p5+38400*(-311127256440+23556304629*n-2054696193/4*n^2+
3842289*n^3-37719/4*n^4)*p9-2171059200*p7*p4*p2+11520*(19552860-314280*n+1200*n
^2)*p5*p3*p2*p1+7200*(-2783856+43216*n-160*n^2)*p4*p3*p2*p1^2+345600/7*(-\
6687199078560+1026851402584*n-104352668483/2*n^2+1108965669*n^3-21578893/2*n^4+
50015*n^5-84*n^6)*p7+6400/3*(-13735944360+551973600*n-7430400*n^2+38160*n^3)*p3
^3+345600/11*(-4888643760+140324184*n-648648*n^2)*p11+57600*(-9709945060032+
6783196346739/2*n-5220274113623/12*n^2+221953731263/8*n^3-3021187292/3*n^4+
2173604297/96*n^5-7985485/24*n^6+154135/48*n^7-151/8*n^8+5/96*n^9)*p1^3+480/7*(
-174005328+11637696*n-545475/2*n^2+2772*n^3-21/2*n^4)*p1^7+115200*(-\
80320163021280+47611549338192*n-19364068826519/2*n^2+42871112607469/48*n^3-\
3999938721077/96*n^4+3144128066/3*n^5-733590853/48*n^6+6720527/48*n^7-74993/96*
n^8+25/12*n^9)*p3-16588800*p7*p3*p1^3+352512000*p7*p4*p1^2+2880*(-119753768880+
35906291745/2*n-6258364987/6*n^2+31471088*n^3-8909113/16*n^4+288355/48*n^5-1789
/48*n^6+5/48*n^7)*p1^5+18753638400*p7*p6-9504000*p9*p1^4-2085177600*p9*p2^2+
27675648000*p10*p3-7547904000*p11*p1^2+23740992000*p9*p4+345945600*p10*p1^3+
129600*p8*p1^5+20236262400*p8*p5+48306585600*p11*p2+96235776000*p12*p1-7200*p4^
2*p1^5+59097600*p7*p2^3-1727308800*p6^2*p1+46440000*p4^3*p1-663552000*p7*p3^2-\
609638400*p5^2*p3+230400*p3*p2*p1^6-654220800*p5*p4^2-1166400*p5*p2^4-7257600*
p5^2*p1^3-1831680*p5*p1^6+23040*p4*p1^7
[5, 3, 2, 2, 2, 2, 2, 2, 2]
-2717245440*p5*p4*p2^2-7716925440*p5*p4*p3*p1-1483776000*p5*p3^2*p2+1435553280*
p5*p4*p2*p1^2-215040000*p4*p3^3+551577600*p5*p3*p2^2*p1-1516032000*p4^2*p3*p2-\
1270080000*p4^3*p1+1920*p4*p2*p1^7+387072000*p5*p3^2*p1^2-58867200*p5*p4*p1^4+
32659200*p5*p2^4+184320*p3*p1^8-90316800*p5*p3*p2*p1^3+247296000*p4*p3^2*p2*p1+
290304000*p4^2*p2^2*p1+411264000*p4^2*p3*p1^2-32659200*p5*p2^3*p1^2-21504000*p4
*p3^2*p1^3-80640*p5*p2*p1^6+58060800*p4*p3*p2^3-50400000*p4^2*p2*p1^3-45964800*
p4*p3*p2^2*p1^2+483840*(-2447552972+128144265*n-2130193*n^2+14198*n^3-30*n^4)*
p5*p2*p1^2+403200*(13148280488-1728989971/3*n+8095439*n^2-137720/3*n^3+58*n^4)*
p4*p3*p2+403200*(-2602734508+126077669*n-1871213*n^2+11088*n^3-16*n^4)*p4*p3*p1
^2+302400*(-2299684270+106692431*n-1626082*n^2+9850*n^3-15*n^4)*p4*p2^2*p1+
201600*(446585954-66084469/3*n+352949*n^2-6698/3*n^3+4*n^4)*p4*p2*p1^3+2240*(-\
19740+192*n)*p3*p2*p1^6+806400*(12818342460-1424128573/2*n+48726321/4*n^2-\
165347/2*n^3+735/4*n^4)*p6*p2*p1+67200*(3158960-38400*n)*p3^2*p2^2*p1+44800*(-\
671280+8160*n)*p3^2*p2*p1^3+33600*(-594396+7344*n)*p3*p2^3*p1^2+16800*(117392-\
1392*n)*p3*p2^2*p1^4+151200*(-24378460+379980*n-1420*n^2)*p4^2*p2*p1+134400*(-\
21396120+291848*n-680*n^2)*p4*p3^2*p1+100800*(-18475460+260940*n-636*n^2)*p4*p3
*p2^2+33600*(-865044+13292*n-44*n^2)*p4*p3*p1^4+50400*(3630510-55674*n+162*n^2)
*p4*p2^3*p1+50400*(-771866+12306*n-42*n^2)*p4*p2^2*p1^3+10080*(146690-2330*n+10
*n^2)*p4*p2*p1^5+107520*(5223384-86490*n+330*n^2)*p5*p3*p1^3+120960*(4539408-\
79299*n+315*n^2)*p5*p2^2*p1^2+40320*(-924308+16755*n-75*n^2)*p5*p2*p1^4+604800*
(159688980-3549744*n+15840*n^2)*p8*p2*p1+460800*(161882400-2866416*n+11760*n^2)
*p7*p3*p1+345600*(-29994504+634200*n-2856*n^2)*p7*p2*p1^2+403200*(173261046-\
2817255*n+12159*n^2)*p6*p4*p1+268800*(130092900-2091894*n+7854*n^2)*p6*p3*p2+
268800*(-29722476+512442*n-2058*n^2)*p6*p3*p1^2+201600*(-25293198+467649*n-1953
*n^2)*p6*p2^2*p1+134400*(5409726-107079*n+483*n^2)*p6*p2*p1^3+241920*(134867600
-2078865*n+8265*n^2)*p5*p4*p2+241920*(-31291708+518005*n-2237*n^2)*p5*p4*p1^2-\
5443200*p4*p2^4*p1+268800*(-2299023120+298897300/3*n-1391252*n^2+20840/3*n^3)*
p3^2*p2*p1+201600*(401891288-17985385*n+262537*n^2-1336*n^3)*p3*p2^2*p1^2+
806400*(-74773611404+14504723871/2*n-3024711271/12*n^2+12406841/3*n^3-413909/12
*n^4+719/6*n^5)*p3*p2*p1^2+645120*(14280056952-2174117624/3*n+10728248*n^2-\
197800/3*n^3+120*n^4)*p5*p3*p1+1433779200*p6*p3*p2*p1^2-13149561600*p6*p4*p2*p1
-14321664000*p7*p3*p2*p1-3840*p2*p1^9+1209600*(382944602334-486568040875/12*n+
35545085311/24*n^2-296258131/12*n^3+5104699/24*n^4-5165/6*n^5+11/12*n^6)*p4*p2*
p1+67200*(-76504572+10583119/3*n-52169*n^2+788/3*n^3)*p3*p2*p1^4+3628800*p5*p2^
2*p1^4+89600*(449650080-20815924*n+300900*n^2-1520*n^3)*p3^2*p1^3+67200*(-\
2001042924+84833541*n-1197081*n^2+6012*n^3)*p3*p2^3+241920*(12516827932-\
601306128*n+18591441/2*n^2-58905*n^3+225/2*n^4)*p5*p2^2+8400*(2738880-33696*n)*
p3*p2^4+2520*(-523800+6480*n)*p2^5*p1+4200*(107352-1296*n)*p2^4*p1^3+1680*(-\
19620+216*n)*p2^3*p1^5+240*(2948-24*n)*p2^2*p1^7+40320*(-20428740+336231*n-1215
*n^2)*p5*p2^3+2688*(162960-2775*n+15*n^2)*p5*p1^6+100800*(119764120-1678760*n+
5480*n^2)*p4^2*p3+50400*(5410660-90140*n+380*n^2)*p4^2*p1^3+89600/3*(3628800-\
43200*n)*p3^3*p1^2+4480*(126720-1440*n)*p3^2*p1^5+201600*(-33696828+843480*n-\
3960*n^2)*p8*p1^3+345600*(-927172680+14784360*n-63240*n^2)*p7*p4+172800*(
135395520-2608560*n+11088*n^2)*p7*p2^2+57600*(6097728-139776*n+672*n^2)*p7*p1^4
+322560*(-969415020+14456820*n-62580*n^2)*p6*p5+967680*(-920601110+25700675*n-\
115115*n^2)*p10*p1+537600*(-825095700+19028295*n-83655*n^2)*p9*p2+537600*(
178645896-4768335*n+21879*n^2)*p9*p1^2+1935360*p5*p3*p1^5-91929600*p7*p2*p1^4+
54908098560*p6*p5*p2+34760678400*p6*p4*p3-3988992000*p6*p3^2*p1-2828044800*p6*
p3*p2^2-6340239360*p5^2*p2*p1+295437542400*p10*p2*p1+169743974400*p9*p3*p1-\
30443212800*p9*p2*p1^2-14536488960*p6*p5*p1^2+342921600*p6*p2^3*p1-80438400*p6*
p2^2*p1^3+3104640*p6*p2*p1^5-54566400*p6*p3*p1^4+1114848000*p6*p4*p1^3+
142822310400*p8*p4*p1+68656896000*p8*p3*p2-17563392000*p8*p3*p1^2-12573792000*
p8*p2^2*p1+1995840000*p8*p2*p1^3+128569835520*p7*p5*p1+59300812800*p7*p4*p2-\
15589324800*p7*p4*p1^2+1161216000*p7*p3*p1^3+1262822400*p7*p2^2*p1^2+3763200*p4
*p3*p2*p1^4+1209600*p4^2*p1^5+16019942400*p5*p4^2-53760*p4*p3*p1^6+1814400*p4*
p2^3*p1^3-120960*p4*p2^2*p1^5+15753056256000*p13+89600/3*(-16059600+187200*n)*
p3^3*p2+480*(-22638+290*n-2*n^2)*p4*p1^7+107520*(118564320-1668300*n+5100*n^2)*
p5*p3^2+1209600*(-59022529500+4146774896*n-86727861*n^2+625570*n^3-1485*n^4)*p8
*p1+691200*(-64927309440+3821388172*n-66977673*n^2+456050*n^3-1029*n^4)*p7*p2+
193536*(177297120-2790900*n+12180*n^2)*p5^2*p1+691200*(12128485560-785809020*n+
15698685*n^2-113442*n^3+273*n^4)*p7*p1^2+537600*(-75335262912+4013585429*n-\
118054419/2*n^2+365785*n^3-1449/2*n^4)*p6*p3+302400*(14966093548-746429150*n+
10743880*n^2-66620*n^3+130*n^4)*p4^2*p1+268800*(-2410192008+288262219/2*n-\
10904691/4*n^2+39053/2*n^3-189/4*n^4)*p6*p1^3+483840*(-82094215560+12760563746/
3*n-117315079/2*n^2+1083133/3*n^3-1507/2*n^4)*p5*p4+10080*(12829292-573478*n+
8278*n^2-40*n^3)*p2^2*p1^5+967680*(-1805942384580+1283809869125/6*n-8322647043*
n^2+3381010777/24*n^3-9745137/8*n^4+40817/8*n^5-55/8*n^6)*p5*p2+80640*(
458512548-75757670/3*n+896539/2*n^2-9385/3*n^3+15/2*n^4)*p5*p1^4+33600*(-\
69776124+3134160*n-46314*n^2+234*n^3)*p2^3*p1^3+960*(-2165352+270550/3*n-1148*n
^2+14/3*n^3)*p2*p1^7+1612800*(-1408593053994+189105353374*n-34742562379/4*n^2+
1389499531/8*n^3-12990327/8*n^4+57645/8*n^5-91/8*n^6)*p6*p1+4480*(13622472-\
615953*n+8673*n^2-40*n^3)*p3*p1^6+403200*(413764589440-231761108561/6*n+
4998980177/4*n^2-58085594/3*n^3+623339/4*n^4-1063/2*n^5)*p3*p2^2+20160*(-\
82339810+4154937*n-68222*n^2+446*n^3-n^4)*p4*p1^5+403200*(-69028162998+
88704856009/12*n-6860689565/24*n^2+20650933/4*n^3-1123789/24*n^4+596/3*n^5-1/4*
n^6)*p4*p1^3+967680*(323574612816-76907807655/2*n+4833002297/3*n^2-733687697/24
*n^3+6795227/24*n^4-29995/24*n^5+15/8*n^6)*p5*p1^2+537600*(413860061280-\
127541384425/3*n+8857313573/6*n^2-22908038*n^3+1097635/6*n^4-1865/3*n^5)*p3^2*
p1+806400*(-2091118743180+1438638787973/6*n-104557272343/12*n^2+264360557/2*n^3
-12666923/12*n^4+12005/3*n^5-7/2*n^6)*p4*p3+1075200*(279700260840-21411969579*n
+463946769*n^2-3315312*n^3+7722*n^4)*p9+40320*(-2442512120+902063625/4*n-\
187791947/24*n^2+786733/6*n^3-26101/24*n^4+43/12*n^5)*p2*p1^5+201600*(
13484214364-14949743221/12*n+342215983/8*n^2-4278985/6*n^3+48145/8*n^4-83/4*n^5
)*p2^2*p1^3+9676800/11*(4655851200-133607760*n+583440*n^2)*p11+25200*(357033096
-15574284*n+226908*n^2-1152*n^3)*p2^4*p1+1209600*(3766665490840-8568425259757/
12*n+588169049581/12*n^2-78358605535/48*n^3+1448242543/48*n^4-15974419/48*n^5+
100765/48*n^6-47/8*n^7)*p2^2*p1+967680*p7*p1^6+1935360*(37479020178600-\
22347423686639/2*n+10370378242718/9*n^2-52990027909*n^3+170584805537/144*n^4-\
82289045/6*n^5+6369457/72*n^6-875/3*n^7+5/16*n^8)*p5+1612800*(3262784454240-\
3961093089551/6*n+196267684629/4*n^2-21284994247/12*n^3+418716325/12*n^4-789163
/2*n^5+7526/3*n^6-85/12*n^7)*p3*p1^2+1612800*(8108532892944-14833112851679/5*n+
19330949279539/48*n^2-3944830812715/144*n^3+611138899177/576*n^4-36212054323/
1440*n^5+109370789/288*n^6-262841/72*n^7+11881/576*n^8-5/96*n^9)*p1^3+806400*(-\
731430555264+1559103223709/12*n-79024681624/9*n^2+4806865331/16*n^3-839496439/
144*n^4+1070099/16*n^5-62089/144*n^6+29/24*n^7)*p2*p1^3+179200/3*(13125218400-\
530172780*n+6963660*n^2-33600*n^3)*p3^3+134400*(13539166896-7956110537/6*n+
573630739/12*n^2-818904*n^3+83585/12*n^4-145/6*n^5)*p3*p1^4+80/3*(317088-10440*
n+72*n^2)*p1^9+201600*(-73770312036+26632183677/4*n-1754248605/8*n^2+7064295/2*
n^3-234531/8*n^4+405/4*n^5)*p2^3*p1+1382400*(5680138464000-885248026419*n+
90696477365/2*n^2-955859311*n^3+17919337/2*n^4-39404*n^5+63*n^6)*p7+322560*(-\
23811560+373002*n-1290*n^2)*p5*p3*p2*p1+2419200*(-12103802419588+
175052808405401/60*n-999762106189/4*n^2+159957439413/16*n^3-3319941919/16*n^4+
570038491/240*n^5-739813/48*n^6+397/8*n^7-1/24*n^8)*p4*p1+1920*(433972056-\
468677305/12*n+31571441/24*n^2-41771/2*n^3+3727/24*n^4-5/12*n^5)*p1^7+4838400*(
-27919047280176+25245444534997/2*n-481001569381301/240*n^2+21600321719971/144*n
^3-3461005235411/576*n^4+4473263041/32*n^5-2897623619/1440*n^6+73843/4*n^7-\
58259/576*n^8+73/288*n^9)*p2*p1+80640*(141020955360-285178910365/12*n+
18837992659/12*n^2-2582953747/48*n^3+50882699/48*n^4-196517/16*n^5+1251/16*n^6-\
5/24*n^7)*p1^5+1612800*(-16063532769000+21708193293433/6*n-10041408189637/36*n^
2+9690420982*n^3-3145272659/18*n^4+7404071/4*n^5-406273/36*n^6+373/12*n^7)*p3*
p2+3225600*(62151169298400-37298621218991*n+61487723557921/8*n^2-12909269479739
/18*n^3+9690003999503/288*n^4-121075721173/144*n^5+1722134677/144*n^6-946504/9*
n^7+159203/288*n^8-65/48*n^9)*p3+201600*(4170176-61868*n+172*n^2)*p4*p3*p2*p1^2
+9676800*(10559470521600-988021286577101/60*n+5664653968879297/720*n^2-\
2323606931245739/1440*n^3+95262929735633/576*n^4-53333961181399/5760*n^5+
193391912861/640*n^6-487837497/80*n^7+5753429/72*n^8-791111/1152*n^9+4133/1152*
n^10-5/576*n^11)*p1+16690544640*p5^2*p3-643458816000*p9*p4-24216192000*p10*p1^3
-794291097600*p10*p3+62115379200*p6^2*p1-1698278400*p7*p2^3+19353600000*p7*p3^2
-528701644800*p7*p6-39916800*p8*p1^5-563305881600*p8*p5-13440*p6*p1^7+
60194534400*p9*p2^2+359280230400*p11*p1^2-1385795174400*p11*p2-3413162188800*
p12*p1+1153152000*p9*p1^4+541900800*p5^2*p1^3+403200*(-852441480+15364800*n-\
63360*n^2)*p8*p3+13440*(-1039710+21105*n-105*n^2)*p6*p1^5
[5, 2, 2, 2, 2, 2, 2, 2, 2, 2]
12902400*(7765000-99240*n+200*n^2)*p4*p3^2*p1+9676800*(6303030-82728*n+180*n^2)
*p4*p3*p2^2+4838400*(-1450332+20736*n-54*n^2)*p4*p2^3*p1+4838400*(405312-6210*n
+18*n^2)*p4*p2^2*p1^3+967680*(-110900+1836*n-6*n^2)*p4*p2*p1^5+4300800*(356600-\
4200*n)*p3^2*p2*p1^3+3225600*(284310-3240*n)*p3*p2^3*p1^2+1612800*(-77610+900*n
)*p3*p2^2*p1^4+77414400*(-4062153984+234977169*n-4139583*n^2+28329*n^3-63*n^4)*
p6*p2*p1+61931520*(-4492493040+235820335*n-7065765/2*n^2+21425*n^3-75/2*n^4)*p5
*p3*p1+23224320*(-42703920+621891*n-2331*n^2)*p5*p4*p2+23224320*(12426012-\
195369*n+777*n^2)*p5*p4*p1^2+10321920*(-2516340+41550*n-150*n^2)*p5*p3*p1^3+
11612160*(-2006316+34911*n-135*n^2)*p5*p2^2*p1^2+14515200*(8852280-127890*n+420
*n^2)*p4^2*p2*p1+33177600*(12343812-273132*n+1260*n^2)*p7*p2*p1^2+38707200*(-\
59175984+927108*n-3864*n^2)*p6*p4*p1+25804800*(-41944980+664272*n-2520*n^2)*p6*
p3*p2+25804800*(12026700-208824*n+840*n^2)*p6*p3*p1^2+19353600*(9561384-178416*
n+756*n^2)*p6*p2^2*p1+12902400*(-2656416+55692*n-252*n^2)*p6*p2*p1^3+58060800*(
-56299320+1291950*n-5940*n^2)*p8*p2*p1+19353600*(-1804250+25236*n-60*n^2)*p4*p3
*p2*p1^2-54135889920*p5*p4*p2*p1^2+240603955200*p5*p4*p3*p1-193536000*p4*p3*p2*
p1^4-7741440000*p4*p3^2*p2*p1+30965760*(8824980-134010*n+450*n^2)*p5*p3*p2*p1+
4644864000*p5*p3*p2*p1^3-20901888000*p5*p3*p2^2*p1-65028096000*p6*p3*p2*p1^2+
448693862400*p6*p4*p2*p1+557383680000*p7*p3*p2*p1+3225600*(508630-7632*n+20*n^2
)*p4*p3*p1^4+3870720*(555312-10701*n+45*n^2)*p5*p2*p1^4+215040*(20630-240*n)*p3
*p2*p1^6+6451200*(-1270200+14400*n)*p3^2*p2^2*p1+44236800*(-56120160+1002600*n-\
4200*n^2)*p7*p3*p1+46448640*(876185328-97043187/2*n+3339231/4*n^2-11091/2*n^3+
45/4*n^4)*p5*p2*p1^2+38707200*(-3894803528+174677850*n-2445748*n^2+13333*n^3-15
*n^4)*p4*p3*p2+928972800/11*(-1351490140+38973792*n-175032*n^2)*p11+38707200*(
926002196-141328178/3*n+707722*n^2-12163/3*n^3+5*n^4)*p4*p3*p1^2+29030400*(
773624976-74487279/2*n+1142133/2*n^2-6639/2*n^3+9/2*n^4)*p4*p2^2*p1+19353600*(-\
183516632+19442529/2*n-322817/2*n^2+1979/2*n^3-3/2*n^4)*p4*p2*p1^3+25804800*(
770369600-34620830*n+486340*n^2-2350*n^3)*p3^2*p2*p1+19353600*(-154817980+
7289088*n-107853*n^2+525*n^3)*p3*p2^2*p1^2+6451200*(36965840-1873616*n+29293*n^
2-145*n^3)*p3*p2*p1^4+116121600*(-109977396936+24265445471/2*n-1841544041/4*n^2
+31507009/4*n^3-136033/2*n^4+1061/4*n^5-1/4*n^6)*p4*p2*p1+77414400*(23576151718
-14528482679/6*n+354920987/4*n^2-4526576/3*n^3+50761/4*n^4-85/2*n^5)*p3*p2*p1^2
+1741824000*p4*p3*p2^2*p1^2+33177600*(276493140-4287292*n+18132*n^2)*p7*p4+
16588800*(-44423820+865404*n-3780*n^2)*p7*p2^2+51609600*(-67989064+1903473*n-\
9009*n^2)*p9*p1^2+38707200*(257556750-4674780*n+19800*n^2)*p8*p3+19353600*(
15142380-409860*n+1980*n^2)*p8*p1^3+258048*(-149700+3255*n-15*n^2)*p5*p1^6+
1290240*(718200-17304*n+84*n^2)*p6*p1^5+18579456*(-60452280+906660*n-3780*n^2)*
p5^2*p1+30965760*(288509760-4133934*n+17514*n^2)*p6*p5+92897280*(303400240-\
8674380*n+40040*n^2)*p10*p1+51609600*(253793540-5964387*n+27027*n^2)*p9*p2+
2867200*(5501000-60000*n)*p3^3*p2+2867200*(-1579000+18000*n)*p3^3*p1^2+430080*(
-98200+1200*n)*p3^2*p1^5+806400*(-1020330+11340*n)*p3*p2^4+7680*(-5290+60*n)*p3
*p1^8+241920*(226800-2430*n)*p2^5*p1+403200*(-61452+648*n)*p2^4*p1^3+161280*(
16200-162*n)*p2^3*p1^5+23040*(-4116+36*n)*p2^2*p1^7+10321920*(-37468200+505500*
n-1500*n^2)*p5*p3^2+3870720*(7105320-113157*n+405*n^2)*p5*p2^3+4877107200*p6*p2
^2*p1^3-325140480*p6*p2*p1^5+210691031040*p5^2*p2*p1-11158821273600*p10*p2*p1-\
6199345152000*p9*p3*p1+1394852659200*p9*p2*p1^2-4770855936000*p8*p4*p1-\
2299207680000*p8*p3*p2+766402560000*p8*p3*p1^2+517321728000*p8*p2^2*p1-\
114960384000*p8*p2*p1^3-4175600025600*p7*p5*p1-1804728729600*p7*p4*p2+
601576243200*p7*p4*p1^2-61931520000*p7*p3*p1^3-5120*p1^11+1280*(992-6*n)*p2*p1^
9+4838400*(-2546260+39620*n-140*n^2)*p4^2*p1^3+5529600*(-3331884+85932*n-420*n^
2)*p7*p1^4+232243200*(3087426637460-2299696790792/3*n+407492652541/6*n^2-\
135087449239/48*n^3+5786032381/96*n^4-8430301/12*n^5+72771/16*n^6-677/48*n^7+1/
96*n^8)*p4*p1+92897280*(479707965660-58193811917*n+9267507459/4*n^2-320177679/8
*n^3+2784123/8*n^4-11481/8*n^5+15/8*n^6)*p5*p2+92897280*(-96300639864+
12064549032*n-2133543311/4*n^2+84790053/8*n^3-803325/8*n^4+3515/8*n^5-5/8*n^6)*
p5*p1^2+77414400*(553599807310-129632415421/2*n+28783968713/12*n^2-110583346/3*
n^3+1171995/4*n^4-6439/6*n^5+5/6*n^6)*p4*p3+38707200*(22583159764-5183262549/2*
n+1289823209/12*n^2-12346949/6*n^3+38253/2*n^4-236/3*n^5+1/12*n^6)*p4*p1^3+
51609600*(-118556854080+12674810390*n-456280540*n^2+21725815/3*n^3-57980*n^4+
575/3*n^5)*p3^2*p1+38707200*(-114173970730+21978683763/2*n-1464136217/4*n^2+
11517979/2*n^3-184011/4*n^4+150*n^5)*p3*p2^2+12902400*(-4948924746+1057476627/2
*n-83260881/4*n^2+2306423/6*n^3-13635/4*n^4+35/3*n^5)*p3*p1^4+19353600*(
22391064636-4233808467/2*n+290231235/4*n^2-1193328*n^3+39177/4*n^4-63/2*n^5)*p2
^3*p1+19353600*(-4741441600+942470493/2*n-69212429/4*n^2+1208213/4*n^3-10275/4*
n^4+33/4*n^5)*p2^2*p1^3+3870720*(1014442900-624438857/6*n+16062059/4*n^2-442213
/6*n^3+2569/4*n^4-2*n^5)*p2*p1^5+154828800*(4028622098512-926486697878*n+
146015308023/2*n^2-15565014103/6*n^3+1146443461/24*n^4-12255017/24*n^5+73919/24
*n^6-65/8*n^7)*p3*p2+154828800*(-878215852424+557024353741/3*n-130436330483/9*n
^2+551047708*n^3-816021751/72*n^4+1053715/8*n^5-60505/72*n^6+55/24*n^7)*p3*p1^2
+116121600*(-994795641336+391191002585/2*n-111776465545/8*n^2+7742383353/16*n^3
-73803817/8*n^4+412909/4*n^5-2571/4*n^6+27/16*n^7)*p2^2*p1+77414400*(
211122888928-79495231721/2*n+22896044619/8*n^2-5011387217/48*n^3+12858331/6*n^4
-612401/24*n^5+3971/24*n^6-7/16*n^7)*p2*p1^3+464486400*(6722588001384-\
9318748749022/3*n+4051054565543/8*n^2-1876462006051/48*n^3+155573934011/96*n^4-\
7481804477/192*n^5+9194397/16*n^6-510677/96*n^7+2755/96*n^8-13/192*n^9)*p2*p1+
7741440*(-201415008+24562421/2*n-951309/4*n^2+3385/2*n^3-15/4*n^4)*p5*p1^4+
29030400*(-4694766720+481924815/2*n-3450710*n^2+40915/2*n^3-35*n^4)*p4^2*p1+
1935360*(42808880-14737597/6*n+89513/2*n^2-1745/6*n^3+1/2*n^4)*p4*p1^5+8601600*
(-184598400+27518270/3*n-136960*n^2+2050/3*n^3)*p3^2*p1^3+6451200*(635825160-\
27648720*n+387801*n^2-1845*n^3)*p3*p2^3+430080*(-8680020+1398560/3*n-7705*n^2+
115/3*n^3)*p3*p1^6+2419200*(-129361536+11660787/2*n-84105*n^2+783/2*n^3)*p2^4*
p1+3225600*(31287168-2994525/2*n+22410*n^2-207/2*n^3)*p2^3*p1^3+967680*(-\
7436464+746787/2*n-5739*n^2+51/2*n^3)*p2^2*p1^5+92160*(1737008-179437/2*n+1384*
n^2-11/2*n^3)*p2*p1^7+154828800*(387179314896-53897507377*n+5136692953/2*n^2-\
105988127/2*n^3+504728*n^4-4487/2*n^5+7/2*n^6)*p6*p1+46448640*(23085003480-\
2423046339/2*n+66499851/4*n^2-198575/2*n^3+777/4*n^4)*p5*p4+23224320*(-\
3743152224+370016037/2*n-11557701/4*n^2+36081/2*n^3-135/4*n^4)*p5*p2^2+
116121600*(17719152000-2583875085/2*n+27831540*n^2-410025/2*n^3+495*n^4)*p8*p1+
66355200*(18468804816-1114220642*n+19957383*n^2-137496*n^3+315*n^4)*p7*p2+
66355200*(-4061426952+278547822*n-5841633*n^2+43276*n^3-105*n^4)*p7*p1^2+
51609600*(21244781712-1152320680*n+17140032*n^2-106022*n^3+210*n^4)*p6*p3+
25804800*(915425616-59193127*n+1198575*n^2-8813*n^3+21*n^4)*p6*p1^3+9676800*(-\
37131850+483140*n-1400*n^2)*p4^2*p3+46080*(29512-534*n+2*n^2)*p4*p1^7+
81203834880*p5*p4*p2^2+3007549440*p5*p4*p1^4+46448640000*p5*p3^2*p2-15482880000
*p5*p3^2*p1^2-154828800*p5*p3*p1^5+1567641600*p5*p2^3*p1^2-261273600*p5*p2^2*p1
^4+11612160*p5*p2*p1^6+40642560000*p4^2*p3*p2-13547520000*p4^2*p3*p1^2-\
9144576000*p4^2*p2^2*p1+2032128000*p4^2*p2*p1^3+860160000*p4*p3^2*p1^3-\
1741824000*p4*p3*p2^3+4300800*p4*p3*p1^6+195955200*p4*p2^4*p1-87091200*p4*p2^3*
p1^3+8709120*p4*p2^2*p1^5-62705664000*p7*p2^2*p1^2+6967296000*p7*p2*p1^4-\
1627002961920*p6*p5*p2+542334320640*p6*p5*p1^2-997097472000*p6*p4*p3-\
49854873600*p6*p4*p1^3-276480*p4*p2*p1^7+144506880000*p6*p3^2*p1+97542144000*p6
*p3*p2^2+3612672000*p6*p3*p1^4-14631321600*p6*p2^3*p1-462089650176000*p13+
184320*(-218933064+45707789/2*n-3629141/4*n^2+205237/12*n^3-595/4*n^4+5/12*n^5)
*p1^7+185794560*(-9202403059850+11158783048655/4*n-14054762027821/48*n^2+
219181733311/16*n^3-19899142261/64*n^4+29130059/8*n^5-2254543/96*n^6+1215/16*n^
7-5/64*n^8)*p5+309657600*(-14663341462770+35655935832179/4*n-268577068134025/
144*n^2+8492196607607/48*n^3-4860640461611/576*n^4+61691702483/288*n^5-\
888787627/288*n^6+1958843/72*n^7-81115/576*n^8+95/288*n^9)*p3+7741440*(-\
45222472520+49486030175/6*n-42804703609/72*n^2+357476481/16*n^3-34659823/72*n^4
+6023*n^5-362/9*n^6+5/48*n^7)*p1^5+928972800*(-2419878661200+159848029385539/42
*n-29478845887577/16*n^2+664272340393045/1728*n^3-23181488539697/576*n^4+
5325500280229/2304*n^5-9938679965/128*n^6+25988807969/16128*n^7-1033123/48*n^8+
1283945/6912*n^9-1097/1152*n^10+5/2304*n^11)*p1+154828800*(-2033282684196+
1544518146541/2*n-1974191481635/18*n^2+188617199437/24*n^3-46378245239/144*n^4+
2325233909/288*n^5-9211681/72*n^6+182893/144*n^7-1039/144*n^8+5/288*n^9)*p1^3+
2560*(-397728+123193/6*n-301*n^2+5/6*n^3)*p1^9+5734400*(-3863223000+479143400/3
*n-2098300*n^2+29500/3*n^3)*p3^3+132710400*(-1465228704940+232676930497*n-\
72781074055/6*n^2+518889017/2*n^3-7391146/3*n^4+21793/2*n^5-35/2*n^6)*p7+
103219200*(-76394758440+35695995049/6*n-521856907/4*n^2+5687825/6*n^3-9009/4*n^
4)*p9-77491814400*p9*p1^4+1239869030400*p10*p1^3+18782539776000*p9*p4-\
2092278988800*p9*p2^2+24797380608000*p10*p3+14960177971200*p7*p6-619315200000*
p7*p3^2+62705664000*p7*p2^3-154828800*p7*p1^6-2002865356800*p6^2*p1+
117022703616000*p12*p1+44345445580800*p11*p2-14781815193600*p11*p1^2-1175731200
*p5*p2^4-138240*p5*p1^8+35562240000*p4^3*p1+5160960*p6*p1^7-468202291200*p5^2*
p3-23410114560*p5^2*p1^3+16071461683200*p8*p5+3832012800*p8*p1^5+2560*p4*p1^9-\
67737600*p4^2*p1^5+5734400000*p4*p3^3-418211942400*p5*p4^2
[4, 4, 4, 4, 2]
-10240*p4*p3^3+512*p3^4*p1-2064384*p5*p3*p2*p1-387072*p6*p2^2*p1-552960*p4*p3*
p2^2+3981312*p7*p2^2+18247680*p8*p2*p1+10321920*p5*p4*p2+10838016*p5^2*p1+4096/
7*(157248-4032*n)*p7*p3*p1+512*(95760-2100*n)*p6*p4*p1+512/3*(-34560+900*n)*p4*
p3^2*p1+1024/3*(143514-1512*n)*p6*p3*p2+1024/3*(-9954+252*n)*p6*p3*p1^2+3072/5*
(-359520+6720*n)*p5*p2*p1^2+512*(20112060-777600*n+7200*n^2)*p4*p3*p2+512*(-\
1376700+69720*n-960*n^2)*p4*p3*p1^2+384*(-472320+7200*n)*p4*p2^2*p1+1024/3*(-\
1949805+81882*n-864*n^2)*p3^2*p2*p1+256*(41040-864*n)*p3*p2^2*p1^2+1536*(
587646680-45952500*n+1071240*n^2-7680*n^3)*p4*p2*p1+1024*(-59923668+4207728*n-\
101136*n^2+864*n^3)*p3*p2*p1^2+1024*(8462097-291858*n+2016*n^2)*p6*p2*p1+4096/5
*(16219665-796320*n+10080*n^2)*p5*p3*p1+2048/15*(376110-7560*n)*p5*p3^2+128*(
319200-7200*n)*p4^2*p3+2048/5*(-1442070+17640*n)*p6*p5+3072/7*(-1592640+31920*n
)*p7*p4+6144/5*(-629200+15730*n)*p10*p1+2048/3*(-629310+3960*n)*p9*p2+2048/3*(
29370-660*n)*p9*p1^2+512*(-1928520+47520*n)*p8*p3+3072*(-39143026295+
24233495690/3*n-1693079000/3*n^2+49916920/3*n^3-604000/3*n^4+720*n^5)*p4*p1+
1536*(-76209540+4387020*n-63360*n^2)*p8*p1+6144/7*(6775524-334992*n+4368*n^2)*
p7*p1^2+2048/3*(-170182278+9509052*n-129780*n^2+168*n^3)*p6*p3+1024/3*(-400869+
18900*n-252*n^2)*p6*p1^3+3072/5*(-172895100+8530200*n-84000*n^2)*p5*p4+1536/5*(
9534000-141120*n)*p5*p2^2+384*(15304000-705600*n+8400*n^2)*p4^2*p1+1024/9*(
133353-7236*n+108*n^2)*p3^2*p1^3+256/3*(-937008+15552*n)*p3*p2^3+221184*p7*p3^2
-1548288*p7*p6-1126400*p9*p4+1024/27*(-40770+648*n)*p3^3*p2+1024/27*(3834-108*n
)*p3^3*p1^2-1397760*p12*p1-21504*p6*p3^2*p1+256*(2113992-78624*n+864*n^2)*p2^2*
p1^3+1024*(-5831549940+628583440*n-20868360*n^2+234800*n^3-720*n^4)*p4*p3+512*(
-44438280+3377780*n-90480*n^2+880*n^3)*p4*p1^3+2048/3*(756684324-69109950*n+
2136066*n^2-25656*n^3+84*n^4)*p3^2*p1+512*(795047388-56636712*n+1122624*n^2-\
7488*n^3)*p3*p2^2+256*(-50344632+2117232*n-20736*n^2)*p2^3*p1+29245440*p13-\
3514368*p10*p3+6144/7*(-106310988+4614456*n-32256*n^2)*p7*p2+6144/5*(417774000-\
36808380*n+1052520*n^2-10080*n^3)*p5*p1^2+75264*p6^2*p1+6144/5*(-4631720520+
465571820*n-13025040*n^2+85120*n^3)*p5*p2+2048*(-3054716700+337509410*n-\
11793530*n^2+140056*n^3-196*n^4)*p6*p1+6144*(-120484959300+145737123298/3*n-\
19854931450/3*n^2+1190086484/3*n^3-33313340/3*n^4+138056*n^5-640*n^6)*p2*p1+
12288*(57891834000-86529850396*n+347714134918/9*n^2-64874753740/9*n^3+
5808680986/9*n^4-263201416/9*n^5+5967112/9*n^6-62560/9*n^7+88/3*n^8)*p1+1024*(-\
1064282961+128444806*n-5462580*n^2+102872*n^3-768*n^4)*p2*p1^3+1536*(9661263385
-1422332868*n+67169508*n^2-1214400*n^3+7584*n^4)*p2^2*p1+215040*p6*p4*p3+512/3*
(3976812-313176*n+9072*n^2-96*n^3)*p3*p1^4+2048*(-56525398662+11371495508*n-\
749856912*n^2+19583056*n^3-188664*n^4+672*n^5)*p3*p2+2048*(7796536626-\
1243239120*n+69414520*n^2-1740208*n^3+19832*n^4-80*n^5)*p3*p1^2+225280*p9*p3*p1
+12288/11*(8508500-240240*n)*p11+4096/3*(667236570-47672020*n+825660*n^2-440*n^
3)*p9+12288/5*(147783625990-40499720800*n+3759709520*n^2-146272840*n^3+2244760*
n^4-7840*n^5)*p5+4096*(297008220600-166817797620*n+94869805132/3*n^2-2646582592
*n^3+314172928/3*n^4-1865280*n^5+36592/3*n^6-32*n^7)*p3+2048/27*(36075186-\
1898892*n+26244*n^2-72*n^3)*p3^3+2048*(28287701460-8419490374*n+2624620486/3*n^
2-42137448*n^3+3112132/3*n^4-13040*n^5+208/3*n^6)*p1^3+512/5*(98354445-10626760
*n+455080*n^2-9440*n^3+80*n^4)*p1^5+12288/7*(17667049400-2522978472*n+113144248
*n^2-1698144*n^3+3248*n^4)*p7+55296*p3^2*p2^2*p1+497664*p2^4*p1
[4, 4, 4, 3, 3]
-2965248*p10*p3-2515968*p11*p2+124416*p7*p3^2+311040*p8*p3*p2-316800*p9*p4+
63360*p9*p2^2+60480*p6*p4*p3-12096*p6*p3*p2^2+145152*p6*p5*p2+124416*p5^2*p3-\
1866240*p8*p5-20736*p5*p3^2*p2-870912*p7*p6-2880*p4*p3^3+380160*p9*p1^2-953856*
p5*p2^3-72576*p6*p3*p1^2+288*(28350-420*n)*p6*p4*p1+192*(501606-12411*n+63*n^2)
*p6*p3*p2+144*(-8316+168*n)*p6*p2^2*p1+864/5*(330000-3600*n)*p5*p4*p2+96*(-\
11430+180*n)*p4*p3^2*p1+72*(-51360+720*n)*p4*p3*p2^2+432*(82800-1440*n)*p8*p2*
p1+2304/5*(20425680-903555*n+14445*n^2-90*n^3)*p5*p3*p1+144*(107700-4176*n+48*n
^2)*p3*p2^2*p1^2+864*(1001111010-77956180*n+2013520*n^2-24180*n^3+120*n^4)*p4*
p2*p1+576*(-81006672+5226177*n-141429*n^2+1968*n^3-12*n^4)*p3*p2*p1^2+576*(
16711254-658959*n+9177*n^2-42*n^3)*p6*p2*p1+1728/5*(-707700+23760*n-240*n^2)*p5
*p2*p1^2+288*(-562290+15840*n-120*n^2)*p4*p3*p1^2+216*(-1964320+55440*n-480*n^2
)*p4*p2^2*p1+2304/7*(100548-1512*n)*p7*p3*p1+288*(-3387960+93420*n-540*n^2)*p8*
p3+384*(-2501730+53625*n-165*n^2)*p9*p2+3456/5*(-613470+8580*n)*p10*p1+72*(
310800-3600*n)*p4^2*p3+3456/25*(103500-1800*n)*p5^2*p1+384/5*(678240-18495*n+
135*n^2)*p5*p3^2+1728/7*(-2512440+23520*n)*p7*p4+864/7*(315504-3360*n)*p7*p2^2+
1152/5*(-3265920+63315*n-315*n^2)*p6*p5+64/3*(-119070+3591*n-27*n^2)*p3^3*p2+
32901120*p13+576*p3^3*p2^2+3456*p3^3*p1^2+31104*p3*p2^4+144*(-146023260+9443304
*n-202248*n^2+1584*n^3)*p2^3*p1+96*(957636-37584*n+432*n^2)*p3*p1^4+288*(
1837577124-162838888*n+4955451*n^2-66830*n^3+363*n^4)*p3*p2^2+576*(-10618117200
+1177670905*n-87289755/2*n^2+1438885/2*n^3-12585/2*n^4+45/2*n^5)*p4*p3+384*(
1151129844-392099715/4*n+25670817/8*n^2-56205*n^3+4383/8*n^4-9/4*n^5)*p3^2*p1+
3456/5*(515177790-36409365*n+888585*n^2-10800*n^3+60*n^4)*p5*p1^2+3456/5*(-\
8996080850+998953370*n-36197910*n^2+524530*n^3-2850*n^4)*p5*p2+288*(-30535170+
1157740*n-16440*n^2+80*n^3)*p4*p1^3+3456*(-210973178240+1026538800155/12*n-\
94940901103/8*n^2+9003135253/12*n^3-582370223/24*n^4+430526*n^5-25957/6*n^6+20*
n^7)*p2*p1+6912/11*(16336320-482482*n+2002*n^2)*p11+576*(-1384418052+143300901*
n-5443279*n^2+113830*n^3-1388*n^4+8*n^5)*p2*p1^3+864*(16944711772-7804116680/3*
n+415701097/3*n^2-10247824/3*n^3+130397/3*n^4-242*n^5)*p2^2*p1+1152/5*(-18540+
360*n)*p5*p3*p2*p1+128/3*(62364816-14585319/4*n+639549/8*n^2-3429/4*n^3+27/8*n^
4)*p3^3+288*(47823930-2180760*n+33360*n^2-180*n^3)*p4*p3*p2+64*(14742-324*n)*p3
^2*p1^3+2304*(526951763520-599486699987/2*n+233523227399/4*n^2-20704395183/4*n^
3+232792282*n^4-22269139/4*n^5+288651/4*n^6-502*n^7+3/2*n^8)*p3+288/5*(57766860
-2922360*n+59760*n^2-480*n^3)*p1^5+768*(1237476240-368264985/4*n+15915075/8*n^2
-52635/4*n^3+165/8*n^4)*p9+1152*(46278440640-52284905301/4*n+10062827719/8*n^2-\
111747443/2*n^3+10980181/8*n^4-86041/4*n^5+421/2*n^6-n^7)*p1^3+6912/5*(
263212829880-295422643665/4*n+57743272035/8*n^2-1271265325/4*n^3+54029845/8*n^4
-135515/2*n^5+270*n^6)*p5+144*(4000164-197416*n+3984*n^2-32*n^3)*p2^2*p1^3+6912
/7*(31932060160-4714872813*n+465736803/2*n^2-4757214*n^3+78981/2*n^4-105*n^5)*
p7+192*(-37422+756*n)*p6*p1^3+864/5*(41424540-1723800*n+16920*n^2)*p5*p2^2+1152
*(11886468696-6982336245/4*n+718276503/8*n^2-9257049/4*n^3+290613/8*n^4-687/2*n
^5+3/2*n^6)*p3*p1^2+48*(-6148476+233280*n-2376*n^2)*p3*p2^3+1152*(-4878627390+
2044490847/4*n-140867685/8*n^2+264495*n^3-15771/8*n^4+21/4*n^5)*p6*p1+18*(
198720-3456*n)*p2^4*p1+192*(-3171582+151875*n-2709*n^2+18*n^3)*p3^2*p2*p1+216*(
15520400-356400*n+2400*n^2)*p4^2*p1+1728*(-66473149900+40713581795/3*n-\
5688562505/6*n^2+177948965/6*n^3-2802385/6*n^4+8035/2*n^5-15*n^6)*p4*p1+1152*(-\
102395612520+86264282077/4*n-12604415043/8*n^2+104686191/2*n^3-7033701/8*n^4+
31313/4*n^5-30*n^6)*p3*p2+864*(-106270200+5145660*n-72900*n^2+360*n^3)*p8*p1+48
*(3276-72*n)*p3^2*p2^2*p1+3456/7*(-250194252+13816236*n-208236*n^2+840*n^3)*p7*
p2+3456/7*(5114844-135072*n+1008*n^2)*p7*p1^2+384*(-315275058+73910907/4*n-\
2855097/8*n^2+12033/4*n^3-63/8*n^4)*p6*p3+1728/5*(-318117450+15765300*n-196800*
n^2+900*n^3)*p5*p4+6912*(102918816000-462773962925/3*n+208182658564/3*n^2-\
157979777321/12*n^3+4890036929/4*n^4-721747753/12*n^5+19722859/12*n^6-154967/6*
n^7+1409/6*n^8-n^9)*p1
[4, 4, 4, 3, 2, 2]
4810752*p5*p2^3+128*(-11466+252*n)*p6*p2*p1^3+1152/5*(-4398000+66000*n)*p5*p4*
p2+1152/5*(251400-4200*n)*p5*p4*p1^2+512/5*(-25650+540*n)*p5*p3*p1^3+576*(-\
2938800+50400*n)*p8*p2*p1+3072/7*(-5639760+134442*n-378*n^2)*p7*p3*p1+2304/7*(
204120-3696*n)*p7*p2*p1^2+384*(59759760-2822610*n+43500*n^2-210*n^3)*p4*p3*p1^2
+288*(49546080-1720480*n+15600*n^2)*p4*p2^2*p1+192*(-2873040+108360*n-1200*n^2)
*p4*p2*p1^3+256*(79072452-7143213/2*n+100575/2*n^2-201*n^3)*p3^2*p2*p1+128/3*(
4482-108*n)*p3^2*p2*p1^3+144*(362400-6400*n)*p4^2*p2*p1+128*(1021140-24210*n+90
*n^2)*p4*p3^2*p1+96*(517200-7920*n)*p4*p3*p2^2+64*(-65916+1080*n)*p3^2*p2^2*p1+
384*(-4610340+86730*n-210*n^2)*p6*p4*p1+256*(-5882688+208971/2*n-315/2*n^2)*p6*
p3*p2+256*(483462-23247/2*n+63/2*n^2)*p6*p3*p1^2+192*(232428-2520*n)*p6*p2^2*p1
+768*(2605101642-202379937*n+5649716*n^2-70389*n^3+334*n^4)*p3*p2*p1^2+192*(-\
4920336+188292*n-1980*n^2)*p3*p2^2*p1^2+64*(255276-11376*n+144*n^2)*p3*p2*p1^4+
1152*(-20828944660+5501799260/3*n-158869430/3*n^2+1858270/3*n^3-8020/3*n^4)*p4*
p2*p1+768*(-430821132+38516401/2*n-455931/2*n^2+469*n^3)*p6*p2*p1+3072/5*(-\
594249660+58852725/2*n-868455/2*n^2+1905*n^3)*p5*p3*p1+2304/5*(39920280-1559940
*n+16440*n^2)*p5*p2*p1^2+384*(-717863700+30433690*n-389940*n^2+1490*n^3)*p4*p3*
p2+22394880*p8*p5+96*(-8606400+175800*n-600*n^2)*p4^2*p3+1536/5*(53555040-\
1655955/2*n+2835/2*n^2)*p6*p5+30191616*p11*p2+4608/25*(-4239900+63000*n)*p5^2*
p1+512/5*(-9710280+398655/2*n-1215/2*n^2)*p5*p3^2+4608/5*(28631460-739310*n+
1430*n^2)*p10*p1+512*(33271920-1180905/2*n+825/2*n^2)*p9*p2+512*(-2314290+
103125/2*n-165/2*n^2)*p9*p1^2+384*(55916640-1303830*n+3510*n^2)*p8*p3-253440*p9
*p2^2+32947200*p9*p4+192*(115560-2160*n)*p8*p1^3+2304/7*(52995600-970200*n+2520
*n^2)*p7*p4+1152/7*(-2885904+34272*n)*p7*p2^2-1677312*p11*p1^2+30191616*p7*p6+
512*(-24294432780+4513105767/2*n-291353781/4*n^2+1059381*n^3-28815/4*n^4+33/2*n
^5)*p3^2*p1+64*(60252300-1949724*n+17172*n^2)*p3*p2^3+32*(138672-2592*n)*p2^3*
p1^3+512*(5173169148-284805717*n+16954875/4*n^2-39795/2*n^3+63/4*n^4)*p6*p3+
1152/5*(-522953580+18509100*n-160140*n^2)*p5*p2^2+384/5*(-1738620+65520*n-720*n
^2)*p5*p1^4+288*(-589161600+27139400*n-361000*n^2+1600*n^3)*p4^2*p1+256/3*(-\
6059016+610281/2*n-10287/2*n^2+27*n^3)*p3^2*p1^3+1152*(2769076080-169429650*n+
2904870*n^2-11220*n^3)*p8*p1+4608/7*(3829921704-196614222*n+2444610*n^2-6468*n^
3)*p7*p2+4608/7*(-321119232+16627590*n-250530*n^2+924*n^3)*p7*p1^2+256/9*(
1195560-48087/2*n+135/2*n^2)*p3^3*p2+256/9*(-119502+6507/2*n-27/2*n^2)*p3^3*p1^
2+768*p3^3*p2*p1^2+138240*p5*p3^2*p2-13824*p5*p3^2*p1^2+115200*p4^2*p3*p2+48384
*p6*p3*p2^2+96768*p6*p5*p1^2-3709440*p6*p4*p3+387072*p6*p3^2*p1-967680*p6*p5*p2
-1990656*p7*p5*p1-1658880*p7*p4*p2+84480*p9*p2*p1^2-2073600*p8*p4*p1-2903040*p8
*p3*p2+207360*p8*p3*p1^2-6758400*p9*p3*p1+128*(-215000964+15898971*n-462951*n^2
+6432*n^3-36*n^4)*p3*p1^4+768*(169216958760-18596362395*n+646799750*n^2-8802715
*n^3+55885*n^4-125*n^5)*p4*p3+384*(1965760560-157875060*n+4549350*n^2-58830*n^3
+300*n^4)*p4*p1^3-789626880*p13+67092480*p12*p1-1022976*p5*p2^2*p1^2+161280*p6*
p4*p2*p1-16128*p6*p3*p2*p1^2+256*(29695680-2650221/2*n+36603/2*n^2-63*n^3)*p6*
p1^3+2304/5*(5466050100-279007850*n+3443100*n^2-14050*n^3)*p5*p4+192*(
2757341988-182803548*n+3927492*n^2-29016*n^3)*p2^3*p1+276480*p5*p4*p3*p1+1536*(
94748695860-22193069171/2*n+1720214713/4*n^2-6676201*n^3+149387/4*n^4-77/2*n^5)
*p6*p1+331776*p7*p3*p2*p1+115200*p4*p3^3+24*(-2928960+51840*n)*p2^4*p1+4608/5*(
140248378440-15150355845*n+504042380*n^2-5995875*n^3+25540*n^4)*p5*p2+192/5*(
12852900-768680*n+18000*n^2-160*n^3)*p2*p1^5+4608/5*(-15019903450+1435586595*n-\
46825975*n^2+638490*n^3-3230*n^4)*p5*p1^2+384*(-27111594480+2200432699*n-\
57004683*n^2+619526*n^3-2550*n^4)*p3*p2^2+768*(37318484304-5086884701*n+
254069022*n^2-6158089*n^3+77364*n^4-420*n^5)*p2*p1^3+4608*(3085369958880-\
7729245096617/6*n+6645674558515/36*n^2-216516168121/18*n^3+14209450561/36*n^4-\
61434620/9*n^5+565957/9*n^6-2300/9*n^7)*p2*p1+1152*(-289902683304+140588357747/
3*n-7815904469/3*n^2+194088532/3*n^3-2319406/3*n^4+3844*n^5)*p2^2*p1+9216*(-\
1389404016000+6309091289038/3*n-8629712230870/9*n^2+1107349128709/6*n^3-\
312319171301/18*n^4+15425260231/18*n^5-414614825/18*n^6+3095369/9*n^7-8609/3*n^
8+98/9*n^9)*p1+1536*(1541671991784-323165912497*n+273564817819/12*n^2-687627609
*n^3+113958403/12*n^4-131605/2*n^5+550/3*n^6)*p3*p2+1536*(-233770847904+
39768500397*n-9663557929/4*n^2+138676723/2*n^3-4155649/4*n^4+8077*n^5-25*n^6)*
p3*p1^2+2304*(1084330086360-234347703495*n+52577581490/3*n^2-1755238015/3*n^3+
9340475*n^4-211025/3*n^5+610/3*n^6)*p4*p1+9216/11*(-281801520+8185177*n-17017*n
^2)*p11+9216/7*(-498102564960+73426891776*n-3505262229*n^2+63538776*n^3-373989*
n^4+546*n^5)*p7+1536/5*(522540-9000*n)*p5*p3*p2*p1+192*(-224169216+14205180*n-\
318972*n^2+2616*n^3)*p2^2*p1^3+9216/5*(-3889148903640+1096799860625*n-\
1273729122935/12*n^2+8946682315/2*n^3-1014128795/12*n^4+655645*n^5-5750/3*n^6)*
p5+192*(-40680+840*n)*p4*p3*p2*p1^2+1536*(-764048129760+481501921095/2*n-\
108100370459/4*n^2+1452483596*n^3-169368961/4*n^4+1424969/2*n^5-6843*n^6+30*n^7
)*p1^3+512/9*(-966873348+47876535*n-2955231/4*n^2+8559/2*n^3-27/4*n^4)*p3^3-\
23040*p4*p3^2*p2*p1+1024*(-20344844520+1499612895*n-117855705/4*n^2+239745/2*n^
3-165/4*n^4)*p9-2635776*p10*p2*p1-414720*p4*p2^3*p1+3072*(-7402054907520+
4247393039861*n-4975407570859/6*n^2+435224489893/6*n^3-3112574075*n^4+399195577
/6*n^5-1394047/2*n^6+11312/3*n^7-25/3*n^8)*p3+384/5*(-4192445880+492426385*n-\
22457435*n^2+533950*n^3-6940*n^4+40*n^5)*p1^5+65894400*p10*p3-2985984*p7*p3^2-\
691200*p5*p4^2-1161216*p5^2*p3-1806336*p6^2*p1-6144*p3^4*p1-2304*p3^3*p2^2-\
124416*p3*p2^4+41472*p3*p2^3*p1^2
[4, 4, 4, 2, 2, 2, 2]
24576*(364930605918-268881387945/4*n+106253766481/24*n^2-1611443401/12*n^3+
47518519/24*n^4-81181/6*n^5+205/6*n^6)*p3*p1^2+36864/5*(-120275295+5158230*n-\
52500*n^2)*p5*p2*p1^2+6144*(1011266865-40936740*n+485820*n^2-1470*n^3)*p4*p3*p2
+12288*(856403541-79547979/2*n+861609/2*n^2-483*n^3)*p6*p2*p1+49152/5*(
1137622605-113454915/2*n+1488165/2*n^2-2415*n^3)*p5*p3*p1+3072*(12068427-450108
*n+4536*n^2)*p3*p2^2*p1^2+1024*(-1778787+78522*n-936*n^2)*p3*p2*p1^4+1536/5*(-\
2190500+106700*n-1400*n^2)*p4*p1^5+4096/3*(22125861-2194053/2*n+32103/2*n^2-51*
n^3)*p3^2*p1^3+1024*(-72547839+2336850*n-20412*n^2)*p3*p2^3+18432*(35153145825-\
9844753880/3*n+97715590*n^2-3253090/3*n^3+4180*n^4)*p4*p2*p1+1024/15*(244935-\
12780*n+180*n^2)*p3*p1^6+384*(3946320-69984*n)*p2^4*p1+512*(-478872+9072*n)*p2^
3*p1^3+768/5*(35640-720*n)*p2^2*p1^5+24576*(-148847239555+73730769525/4*n-\
5997575045/8*n^2+23227141/2*n^3-423955/8*n^4+133/4*n^5)*p6*p1+6144*(-164797925+
8064190*n-112160*n^2+370*n^3)*p4*p3*p1^2+18432*(-5125332300+334685670*n-5791170
*n^2+15180*n^3)*p8*p1+73728/7*(-5615500842+285224142*n-3320982*n^2+6300*n^3)*p7
*p2+73728/7*(840746802-49301238*n+771498*n^2-1596*n^3)*p7*p1^2+8192*(-\
7419685287+1564605679/4*n-40419981/8*n^2+72023/4*n^3-63/8*n^4)*p6*p3+4608*(-\
101296220+3601020*n-33480*n^2)*p4*p2^2*p1+3072*(15509700-653340*n+7080*n^2)*p4*
p2*p1^3+4096*(-136966653+11536575/2*n-143829/2*n^2+207*n^3)*p3^2*p2*p1+4096*(-\
127426845+13537769/2*n-190323/2*n^2+119*n^3)*p6*p1^3+36864/5*(-8095870125+
416009650*n-5004300*n^2+17150*n^3)*p5*p4+18432/5*(764328915-27048420*n+235620*n
^2)*p5*p2^2+6144/5*(17497095-857220*n+10920*n^2)*p5*p1^4+1024*(88047-1458*n)*p3
^2*p2^2*p1+6144*(11928105-228480*n+210*n^2)*p6*p4*p1+8192*(40110846765-\
15321042705/4*n+961400225/8*n^2-3051021/2*n^3+67447/8*n^4-57/4*n^5)*p3^2*p1+
6144*(38415694374-3043218957*n+74168634*n^2-737556*n^3+2583*n^4)*p3*p2^2+4096*(
7068810-245385/2*n+189/2*n^2)*p6*p3*p2+4096*(-1537788+67767/2*n-63/2*n^2)*p6*p3
*p1^2+2048*(61005-882*n)*p6*p2*p1^3+18432/5*(7381500-119700*n)*p5*p4*p2+18432/5
*(-1581300+31500*n)*p5*p4*p1^2+2048*(808142922-69409021*n+2116649*n^2-26888*n^3
+112*n^4)*p3*p1^4+3072*(-4973138587+341302284*n-7226064*n^2+52488*n^3)*p2^3*p1+
3072*(705490155-50818182*n+1200840*n^2-9696*n^3)*p2^2*p1^3+3072/5*(-97326415+
7238980*n-185620*n^2+1680*n^3)*p2*p1^5+36864*(-1504541226630+338555595770*n-\
476328196745/18*n^2+5507068565/6*n^3-264236015/18*n^4+601345/6*n^5-2335/9*n^6)*
p4*p1+24576*(-2039665135038+5175403120163/12*n-242403369383/8*n^2+2660591875/3*
n^3-90540885/8*n^4+281049/4*n^5-164*n^6)*p3*p2+73728/5*(-196398161190+
21254217775*n-696011400*n^2+7828625*n^3-30030*n^4)*p5*p2+49152/7*(11290230-\
242382*n+378*n^2)*p7*p3*p1+36864/7*(-735084+11592*n)*p7*p2*p1^2+73728/5*(
29192809380-3115988680*n+111671280*n^2-1558130*n^3+6510*n^4)*p5*p1^2+12288*(-\
235767105230+77250439570/3*n-1725879465/2*n^2+63318895/6*n^3-115125/2*n^4+205/2
*n^5)*p4*p3+12288*(-5588094388+466943480*n-13071913*n^2+146117*n^3-558*n^4)*p3*
p2*p1^2+6144*(-5148209705+1457811910/3*n-15785890*n^2+619010/3*n^3-860*n^4)*p4*
p1^3+4608*(1198960200-177977200/3*n+772600*n^2-8000/3*n^3)*p4^2*p1-15482880*p5*
p4*p3*p1+387072*p6*p3*p2*p1^2-3870720*p6*p4*p2*p1+9216*(6488460-106920*n)*p8*p2
*p1+2048/3*(-18585+378*n)*p3^2*p2*p1^3+8192/5*(194985-4410*n)*p5*p3*p1^3+3072*(
-329931+3402*n)*p6*p2^2*p1+2304*(-1070800+19200*n)*p4^2*p2*p1+2048*(-1890405+
39120*n-90*n^2)*p4*p3^2*p1+1536*(-641700+10260*n)*p4*p3*p2^2+512*(-26460+660*n)
*p4*p3*p1^4+18432*(424495462770-216273826909/3*n+4202111850*n^2-320683628/3*n^3
+1234975*n^4-5850*n^5)*p2^2*p1+12288*(-69914789970+32529568526/3*n-613740193*n^
2+48743509/3*n^3-207908*n^4+1076*n^5)*p2*p1^3+552960*p4*p3^2*p2*p1-69672960*p5*
p2^3+768*(212400-4800*n)*p4^2*p1^3+4096/9*(-1164510+43821/2*n-81/2*n^2)*p3^3*p2
+1024/15*(3375-90*n)*p3^2*p1^5+1492992*p3*p2^4+1024/5*(-8715+210*n)*p6*p1^5+
73728/25*(11690175-198450*n)*p5^2*p1+8192/5*(11771550-441945/2*n+945/2*n^2)*p5*
p3^2+1536*(12753000-243600*n+600*n^2)*p4^2*p3+73728/5*(-64703925+1764620*n-1430
*n^2)*p10*p1+8192*(-49020510+1709235/2*n-495/2*n^2)*p9*p2+8192*(9116580-466125/
2*n+165/2*n^2)*p9*p1^2+6144*(-76916400+1598850*n-2970*n^2)*p8*p3+3072*(-1151700
+27720*n)*p8*p1^3+36864/7*(-84076020+1561560*n-2520*n^2)*p7*p4+18432/7*(3553956
-43848*n)*p7*p2^2+24576/5*(-84958650+2701125/2*n-2205/2*n^2)*p6*p5-18247680*p8*
p3*p1^2+111476736*p7*p5*p1+39813120*p7*p4*p2-13271040*p7*p4*p1^2+884736*p7*p3*
p1^3+6144/7*(121716-2856*n)*p7*p1^4+4096/9*(277776-12339/2*n+27/2*n^2)*p3^3*p1^
2+55296*p3*p2^2*p1^4+9953280*p4*p2^3*p1-1105920*p4*p2^2*p1^3-995328*p3*p2^3*p1^
2+32514048*p5*p2^2*p1^2-1032192*p5*p2*p1^4-18432*p3^3*p2*p1^2-2764800*p4^2*p3*
p2+921600*p4^2*p3*p1^2-61440*p4*p3^2*p1^3-2322432*p5*p3^2*p2+774144*p5*p3^2*p1^
2+16257024*p6*p5*p2-5419008*p6*p5*p1^2+75048960*p6*p4*p3+430080*p6*p4*p1^3-\
7913472*p6*p3^2*p1-580608*p6*p3*p2^2-21504*p6*p3*p1^4+63258624*p10*p2*p1+
219873280*p9*p3*p1-2027520*p9*p2*p1^2+182476800*p8*p4*p1+54743040*p8*p3*p2+
73728*(-3924212000670+6731623389727/4*n-17915748124063/72*n^2+201392881891/12*n
^3-40914951157/72*n^4+9915952*n^5-1573435/18*n^6+1016/3*n^7)*p2*p1+20003880960*
p13+38707200*p5*p4^2+32514048*p5^2*p3+43352064*p6^2*p1-7962624*p7*p3*p2*p1+
147456*(1649917269000-22694240206909/9*n+3497919330379/3*n^2-73961608026287/324
*n^3+262552995167/12*n^4-119117231101/108*n^5+120609233/4*n^6-24287443/54*n^7+
7203/2*n^8-1057/81*n^9)*p1+24576/5*(-965895+17010*n)*p5*p3*p2*p1+147456/11*(
426786360-12267255*n+15015*n^2)*p11+147456/5*(5024895305430-5726558123125/4*n+
3336583096805/24*n^2-23191335615/4*n^3+2524512935/24*n^4-1465135/2*n^5+5740/3*n
^6)*p5+1024/35*(13048455-1012550*n+28140*n^2-280*n^3)*p1^7+8192/9*(1251734445-\
220909779/4*n+5849361/8*n^2-12915/4*n^3+27/8*n^4)*p3^3+49152*(9115146118260-\
31737097517599/6*n+37520200257623/36*n^2-365578915575/4*n^3+34889926796/9*n^4-\
955363541/12*n^5+27390107/36*n^6-11084/3*n^7+41/6*n^8)*p3+147456/7*(
679482683880-100651456801*n+9523516919/2*n^2-82505528*n^3+816781/2*n^4-441*n^5)
*p7+24576*(1054879175430-4276360874153/12*n+3144778119535/72*n^2-7782106726/3*n
^3+5980129165/72*n^4-5933457/4*n^5+257905/18*n^6-61*n^7)*p1^3+81920*p3^4*p1+
1024*p3^3*p1^4+27648*p3^3*p2^2-1443840*p4*p3^3-3072000*p4^3*p1-603832320*p11*p2
-3041525760*p12*p1-1247600640*p10*p3+201277440*p11*p1^2-1077964800*p9*p4-\
7028736*p10*p1^3-766402560*p8*p5+112640*p9*p1^4+3041280*p9*p2^2+42024960*p7*p3^
2-616218624*p7*p6+6144/5*(11194935210-1623813795*n+89644665*n^2-7264870/3*n^3+
33000*n^4-560/3*n^5)*p1^5+3072*(140100-2700*n)*p4*p3*p2*p1^2+16384*(29302763490
-8616332725/4*n+325573215/8*n^2-499565/4*n^3+165/8*n^4)*p9
[4, 4, 3, 3, 3, 2]
51840*p4*p3^3+129600*p4^2*p3*p2-12960*p4*p3^2*p2*p1-8640*p4*p3*p2^3+1399680*p8*
p1^3+864*p3^2*p2^3*p1-10368*p3^3*p2^2+162*(360000-4000*n)*p4^2*p2*p1+144*(
376200-6885*n+45*n^2)*p4*p3^2*p1+108*(1170000-23640*n+120*n^2)*p4*p3*p2^2+54*(-\
61920+800*n)*p4*p2^3*p1+648/5*(-27600+480*n)*p5*p2^2*p1^2+3456/7*(-2961000+
58842*n-378*n^2)*p7*p3*p1+2592/7*(149184-2016*n)*p7*p2*p1^2+432*(-2468760+31745
*n-105*n^2)*p6*p4*p1+288*(-8366694+195300*n-1260*n^2)*p6*p3*p2+288*(83496-672*n
)*p6*p3*p1^2+216*(518280-10290*n+42*n^2)*p6*p2^2*p1+1296/5*(-7481400+128400*n-\
600*n^2)*p5*p4*p2+1296/5*(94200-1200*n)*p5*p4*p1^2+648*(-3299760+72360*n-360*n^
2)*p8*p2*p1+1296*(-17845784280+4817760895/3*n-156934855/3*n^2+2581415/3*n^3-\
22130/3*n^4+25*n^5)*p4*p2*p1+864*(1882933890-139893729*n+8464167/2*n^2-71892*n^
3+1401/2*n^4-3*n^5)*p3*p2*p1^2+864*(-395816652+38651543/2*n-1345071/4*n^2+5019/
2*n^3-21/4*n^4)*p6*p2*p1+3456/5*(-419894100+19205865*n-1394865/4*n^2+6525/2*n^3
-45/4*n^4)*p5*p3*p1+2592/5*(30188190-1226460*n+18900*n^2-120*n^3)*p5*p2*p1^2+
432*(-808640760+39064580*n-680295*n^2+5530*n^3-15*n^4)*p4*p3*p2+432*(25316640-\
813390*n+10410*n^2-60*n^3)*p4*p3*p1^2+324*(63887640-2709080*n+39440*n^2-200*n^3
)*p4*p2^2*p1+216*(-1445940+36000*n-240*n^2)*p4*p2*p1^3+288*(67802508-6527763/2*
n+261099/4*n^2-1287/2*n^3+9/4*n^4)*p3^2*p2*p1+216*(-4898976+210372*n-3564*n^2+
24*n^3)*p3*p2^2*p1^2+72*(44496-864*n)*p3*p2*p1^4+72*(-104328+2682*n-18*n^2)*p3^
2*p2^2*p1+36*(4944-96*n)*p3*p2^3*p1^2+1296/7*(-7596288+147672*n-504*n^2)*p7*p2^
2+576/5*(-8433720+396225/2*n-3105/2*n^2)*p5*p3^2+1728/5*(54435780-2001405/2*n+
12285/2*n^2)*p6*p5+432*(50738760-1213380*n+8100*n^2)*p8*p3+288*(9227736-187677*
n+861*n^2)*p6*p1^3+576*(-19214660700+1700799276*n-452496657/8*n^2+16848447/16*n
^3-193707/16*n^4+1233/16*n^5-3/16*n^6)*p3^2*p1+432*(-28747980324+2727867038*n-\
94204423*n^2+1607394*n^3-14309*n^4+52*n^5)*p3*p2^2+216/5*(4139640-142560*n+1440
*n^2)*p2*p1^5+32*(1500930-39852*n+324*n^2)*p3^3*p2+216/5*(1069200-15360*n)*p5*
p2^3+5184/25*(-3251700+68850*n-450*n^2)*p5^2*p1-6048*p6*p2^3*p1+357696*p5*p3^2*
p2+186624*p5^2*p2*p1+155520*p5*p4*p2^2-1166400*p8*p4*p1-6998400*p8*p3*p2+233280
*p8*p2^2*p1-2239488*p7*p5*p1-2799360*p7*p4*p2-4245696*p6*p5*p2+48384*p6*p3^2*p1
+362880*p6*p3*p2^2-4447872*p10*p2*p1-2280960*p9*p3*p1-888330240*p13+576*(-\
799920+7920*n)*p9*p1^2+5184/5*(18773040-408265*n+2145*n^2)*p10*p1+576*(47614050
-1205820*n+5940*n^2)*p9*p2-108864*p6*p2*p1^3+2592/7*(48545280-763140*n+3780*n^2
)*p7*p4+108*(-6304800+106200*n-600*n^2)*p4^2*p3+9*(-156480+2304*n)*p3*p2^4+5184
/7*(4129379856-249904830*n+4741569*n^2-34482*n^3+63*n^4)*p7*p2+1728*(-\
184711586208+59551511165/2*n-6867355951/4*n^2+399399407/8*n^3-7170897/8*n^4+
84783/8*n^5-613/8*n^6+1/4*n^7)*p3*p1^2+1296*(2096556480-118576770*n+2173635*n^2
-17550*n^3+45*n^4)*p8*p1+1728*(1389084954744-604852527611/2*n+92576707361/4*n^2
-6671938615/8*n^3+130911131/8*n^4-1525853/8*n^5+10047/8*n^6-7/2*n^7)*p3*p2-\
2298240*p6*p4*p3+2592*(929118517440-599675481295/3*n+90303108385/6*n^2-\
3184633445/6*n^3+122562035/12*n^4-473435/4*n^5+9275/12*n^6-25/12*n^7)*p4*p1+216
*(3070760472-745554190/3*n+22905748/3*n^2-340016/3*n^3+2114/3*n^4)*p2^3*p1+5184
/5*(-10357586280+1751089905/2*n-26341005*n^2+411480*n^3-7365/2*n^4+15*n^5)*p5*
p1^2+432*(1005923160-59456085*n+1243845*n^2-12900*n^3+60*n^4)*p4*p1^3+864*(
153638275860-17428919280*n+1332043625/2*n^2-47159345/4*n^3+479145/4*n^4-2575/4*
n^5+5/4*n^6)*p4*p3+36*(283752-9504*n+96*n^2)*p2^3*p1^3+1296/5*(-769751580+
38429200*n-608760*n^2+3440*n^3)*p5*p2^2+864*(26462668536-6611144949/2*n+
622377447/4*n^2-7947693/2*n^3+254205/4*n^4-627*n^5+3*n^6)*p2*p1^3+90720*p6*p4*
p2*p1+1728*(77704446960-26557332172/3*n+8303405999/24*n^2-304963673/48*n^3+
3045245/48*n^4-4893/16*n^5+7/16*n^6)*p6*p1+5184/5*(132921904770-31091750935/2*n
+1245663105/2*n^2-11333615*n^3+102750*n^4-380*n^5)*p5*p2+155520*p5*p4*p3*p1+432
/5*(-248400+4320*n)*p5*p1^4+72*(123452208-5639612*n+88284*n^2-496*n^3)*p3*p2^3-\
338688*p6^2*p1+59304960*p10*p3+84913920*p11*p2+37739520*p12*p1+40590720*p8*p5-\
3421440*p9*p2^2-2052864*p5^2*p3-777600*p5*p4^2+28512000*p9*p4+15552*p2^5*p1+432
/5*(-1943027280+159228990*n-4511670*n^2+61920*n^3-360*n^4)*p1^5+216*(-17400+240
*n)*p4*p3*p2*p1^2+1728/5*(574110-13590*n+90*n^2)*p5*p3*p2*p1-186624*p5*p3*p1^3-\
31104*p5*p3*p2^2*p1+64*(-853376148+86864319/2*n-887436*n^2+9477*n^3-81/2*n^4)*
p3^3+10368*(-1235025792000+5621684371456/3*n-15478415426399/18*n^2+
1510720437020/9*n^3-1170549232069/72*n^4+10272668239/12*n^5-157977665/6*n^6+
1523525/3*n^7-463141/72*n^8+1831/36*n^9-7/36*n^10)*p1+1728*(-635822665920+
193049878600*n-164689766333/8*n^2+16827746287/16*n^3-489208447/16*n^4+9250585/
16*n^5-119139/16*n^6+123/2*n^7-1/4*n^8)*p1^3+5184*(2708070835200-3409833973756/
3*n+3970088639915/24*n^2-539861646013/48*n^3+19718679023/48*n^4-430214585/48*n^
5+6003275/48*n^6-25621/24*n^7+13/3*n^8)*p2*p1+3456*(-6568216462080+
3810131935372*n-9133057124225/12*n^2+1675492600075/24*n^3-79481898925/24*n^4+
2096129729/24*n^5-32675251/24*n^6+38980/3*n^7-285/4*n^8+1/6*n^9)*p3+10368/5*(-\
3461576358240+1993493819215/2*n-403045529915/4*n^2+37473438625/8*n^3-888436445/
8*n^4+11340555/8*n^5-76785/8*n^6+55/2*n^7)*p5+10368/11*(-269549280+8213205*n-\
45045*n^2)*p11+216*(-164330784+10569474*n-278514*n^2+3840*n^3-24*n^4)*p2^2*p1^3
+144*(-68296032+2738484*n-40428*n^2+216*n^3)*p3*p1^4+10368/7*(-448873064640+
68291516594*n-7063018879/2*n^2+318767785/4*n^3-3396085/4*n^4+16023/4*n^5-21/4*n
^6)*p7+373248*p7*p3*p2*p1+27*(-9634080+370720*n-3936*n^2)*p2^4*p1+96*(-1027728+
21681*n-81*n^2)*p3^2*p1^3+1152*(-18782683920+2884634115/2*n-33594660*n^2+285945
*n^3-1485/2*n^4)*p9+1296*(-253444362144+126935738833/3*n-15432565423/6*n^2+
472190825/6*n^3-4202018/3*n^4+86561/6*n^5-409/6*n^6)*p2^2*p1+576*(4790172996-\
545277733/2*n+5072844*n^2-46375*n^3+315/2*n^4)*p6*p3+5184/7*(-174738312+6863472
*n-90216*n^2+504*n^3)*p7*p1^2+2592/5*(5089612500-268133350*n+4109475*n^2-30200*
n^3+75*n^4)*p5*p4+28740096*p7*p6+324*(-402930000+15344400*n-198200*n^2+1000*n^3
)*p4^2*p1+62208*p7*p2^3-2115072*p7*p3^2-269568*p3^3*p1^2+15552*p3^2*p2*p1^3
[4, 4, 3, 3, 2, 2, 2]
-3732480*p7*p4*p1^2-746496*p7*p2^3-15427584*p7*p3*p2*p1+165888*p7*p3*p1^3-\
9555840*p6*p4*p2*p1-5660928*p6*p5*p1^2-4225536*p6*p3*p2^2-8709120*p6*p3^2*p1-\
10160640*p5*p4*p3*p1+248832*p7*p2^2*p1^2-830269440*p7*p6-4230144*p5^2*p2*p1+
539136*p5*p3*p2^2*p1-8064*p6*p2^2*p1^3+84026880*p6*p4*p3+476928*p5*p3^2*p1^2+
68850432*p6*p5*p2+55544832*p6^2*p1+414720*p5*p4*p2*p1^2+82944*p5^2*p1^3+72576*
p6*p2^3*p1-5080320*p5*p3^2*p2+60217344*p7*p3^2+967680*p6*p3*p2*p1^2+75893760*p7
*p4*p2+40320*p6*p4*p1^3+101523456*p7*p5*p1-2695680*p5*p4*p2^2-864000*p4^3*p1-\
27648*p5*p3*p2*p1^3+26956800*p5*p4^2+37075968*p5^2*p3-2050560*p4*p3^3+172800*p4
^2*p3*p1^2-3974400*p4^2*p3*p2+172800*p4^2*p2^2*p1+812160*p4*p3^2*p2*p1+103680*
p4*p3*p2^3-5760*p4*p3^2*p1^3-5287680*p8*p2^2*p1-34560*p4*p3*p2^2*p1^2+2304*(-\
25903939512+2209434956*n-70435708*n^2+2234589/2*n^3-9000*n^4+55/2*n^5)*p3*p2*p1
^2+384*(-8833890+195915*n-1035*n^2)*p4*p3^2*p1+288*(-7752360+147360*n-480*n^2)*
p4*p3*p2^2+96*(-17880+240*n)*p4*p3*p1^4+144*(607920-9360*n)*p4*p2^3*p1+144*(-\
41520+720*n)*p4*p2^2*p1^3+192*(1031520-21432*n+72*n^2)*p3^2*p2^2*p1+128*(-83556
+2025*n-9*n^2)*p3^2*p2*p1^3+96*(-74880+1296*n)*p3*p2^3*p1^2+48*(4560-96*n)*p3*
p2^2*p1^4+1728/5*(554520-9360*n)*p5*p2^2*p1^2+576/5*(-25680+480*n)*p5*p2*p1^4+
432*(-6266400+116800*n-400*n^2)*p4^2*p2*p1+3456/5*(-4705500+84000*n-300*n^2)*p5
*p4*p1^2+1536/5*(468585-10035*n+45*n^2)*p5*p3*p1^3+105984*p3^3*p2^2+1152*(
52031490-965055*n+4095*n^2)*p6*p4*p1+768*(63032193-1258068*n+4872*n^2)*p6*p3*p2
+768*(-5694003+128394*n-630*n^2)*p6*p3*p1^2+576*(-5687136+101304*n-168*n^2)*p6*
p2^2*p1+384*(394884-8085*n+21*n^2)*p6*p2*p1^3+3456/5*(58173900-1034100*n+3600*n
^2)*p5*p4*p2+1728*(43862760-952560*n+2880*n^2)*p8*p2*p1+9216/7*(54999252-\
1238958*n+5670*n^2)*p7*p3*p1+6912/7*(-4518864+93996*n-252*n^2)*p7*p2*p1^2+
110592*p3^4*p1+24*(690336-10368*n)*p3*p2^4+1536/5*(75665160-3113145/2*n+14985/2
*n^2)*p5*p3^2+576/5*(-5745240+86400*n)*p5*p2^3+288*(69874800-1367400*n+6600*n^2
)*p4^2*p3+13824/25*(52551750-929100*n+3600*n^2)*p5^2*p1+576*(-2768040+54180*n-\
180*n^2)*p8*p1^3+6912/7*(-474689880+8680140*n-36540*n^2)*p7*p4+3456/7*(50110704
-913248*n+2016*n^2)*p7*p2^2+576*(58453080-2485140*n+36180*n^2-180*n^3)*p4*p2*p1
^3+2304*(4636236612-953427167/4*n+30424317/8*n^2-85561/4*n^3+147/8*n^4)*p6*p2*
p1+1152/7*(147168-2016*n)*p7*p1^4+9216/5*(5532567990-1122171105/4*n+36784725/8*
n^2-127185/4*n^3+495/8*n^4)*p5*p3*p1+6912/5*(-560730240+26038570*n-398060*n^2+
2080*n^3)*p5*p2*p1^2+4608/5*(-493711470+16730805/2*n-68565/2*n^2)*p6*p5+1152*(
6687057600-305674255*n+9326355/2*n^2-29795*n^3+105/2*n^4)*p4*p3*p2+1152*(-\
649409160+30536765*n-1015685/2*n^2+3665*n^3-15/2*n^4)*p4*p3*p1^2+864*(-\
704358780+91669280/3*n-426280*n^2+5920/3*n^3)*p4*p2^2*p1+13824/5*(-301702830+
8217495*n-32175*n^2)*p10*p1+1536*(-373303755+8492220*n-27720*n^2)*p9*p2+768*(-\
824365992+154786971/4*n-5109489/8*n^2+17469/4*n^3-63/8*n^4)*p3^2*p2*p1+576*(
82607520-3652580*n+54532*n^2-272*n^3)*p3*p2^2*p1^2+1536*(32451705-769230*n+2970
*n^2)*p9*p1^2+192*(-5867592+258804*n-4140*n^2+24*n^3)*p3*p2*p1^4+1152*(-\
466841340+10484820*n-45540*n^2)*p8*p3+3456*(180886638690-52352406415/3*n+
1758139355/3*n^2-54471995/6*n^3+207880/3*n^4-1205/6*n^5)*p4*p2*p1+192*(-\
826262928+34115184*n-461376*n^2+2016*n^3)*p3*p2^3+64/5*(102600-2160*n)*p3*p1^6+
72*(83777712-3101472*n+31104*n^2)*p2^4*p1+13824/5*(132135190965-27221910105/2*n
+495757895*n^2-16720715/2*n^3+139365/2*n^4-455/2*n^5)*p5*p1^2+2304*(-\
1286013447930+438215853590/3*n-10763365715/2*n^2+1013330785/12*n^3-2835755/4*n^
4+11565/4*n^5-15/4*n^6)*p4*p3+1152*(-19940789370+5227006925/3*n-55999495*n^2+
5306765/6*n^3-7190*n^4+45/2*n^5)*p4*p1^3+144*(276000-3600*n)*p4^2*p1^3+256/3*(-\
10706715+230364*n-1080*n^2)*p3^3*p2+256/3*(1080945-27054*n+162*n^2)*p3^3*p1^2-\
27648*p3^3*p2*p1^2-10368*p3^2*p2^3*p1+22504366080*p13+1152*p3^2*p2^2*p1^3-48384
*p6*p1^5+768*(-405391896+77355789/4*n-2475123/8*n^2+7959/4*n^3-21/8*n^4)*p6*p1^
3+1152/5*(38478450-1530300*n+21540*n^2-120*n^3)*p5*p1^4+6912/5*(-45247151250+
2401726725*n-69012675/2*n^2+219225*n^3-825/2*n^4)*p5*p4+3456/5*(5789205990-\
262719080*n+3678900*n^2-17440*n^3)*p5*p2^2+13824/7*(-34213992120+1965385905*n-\
65057391/2*n^2+187131*n^3-441/2*n^4)*p7*p2+13824/7*(3419030160-190821435*n+
6751185/2*n^2-22029*n^3+63/2*n^4)*p7*p1^2+1536*(-42118731270+2353431024*n-\
152572917/4*n^2+515151/2*n^3-2121/4*n^4)*p6*p3+3456*(-24893034840+1620147795*n-\
63808965/2*n^2+210225*n^3-675/2*n^4)*p8*p1+256*(71557524-13608225/4*n+491967/8*
n^2-1971/4*n^3+9/8*n^4)*p3^2*p1^3+864*(5637975000-813480700/3*n+4070550*n^2-\
80300/3*n^3+50*n^4)*p4^2*p1+288/5*(-2335500+61600*n-400*n^2)*p4*p1^5+1536*(
200883278226-77623120713/4*n+1326696111/2*n^2-175276725/16*n^3+1574703/16*n^4-\
6807/16*n^5+9/16*n^6)*p3^2*p1+1152*(230943066450-62334806741/3*n+1293373485/2*n
^2-28618801/3*n^3+140331/2*n^4-190*n^5)*p3*p2^2+20736*p2^4*p1^3-186624*p2^5*p1+
207360*p8*p2*p1^3+191600640*p9*p3*p1+3072*(161849027340-12398550120*n+
1082460555/4*n^2-3571425/2*n^3+12375/4*n^4)*p9+183845376*p10*p2*p1+4608*(-\
750660254190+371634664541/4*n-7859009095/2*n^2+1164419361/16*n^3-9976099/16*n^4
+35035/16*n^5-21/16*n^6)*p6*p1+13824/5*(-1092612764175+754080250145/6*n-\
9460467565/2*n^2+225115535/3*n^3-571750*n^4+1710*n^5)*p5*p2+144/5*(385560-14560
*n+160*n^2)*p2^2*p1^5-1547320320*p11*p2-2566287360*p12*p1-1976832*p10*p1^3-\
1534021632*p10*p3+113218560*p11*p1^2-829232640*p8*p5+47139840*p9*p2^2-965606400
*p9*p4+512/3*(7579485306-362523168*n+24185871/4*n^2-90909/2*n^3+459/4*n^4)*p3^3
+576*(727920-15540*n+60*n^2)*p4*p3*p2*p1^2+4608/5*(-7253835+147570*n-540*n^2)*
p5*p3*p2*p1+3456*(2215410713388-2310742687367/6*n+863815424519/36*n^2-\
4329000835/6*n^3+429637367/36*n^4-110401*n^5+8305/18*n^6)*p2^2*p1+192/35*(
12009060-458640*n+5040*n^2)*p1^7+384*(2572075230-198737037*n+12119127/2*n^2-\
98076*n^3+1713/2*n^4-3*n^5)*p3*p1^4+96*(-7217136+277056*n-2952*n^2)*p2^3*p1^3+
576*(-29564459016+2385714910*n-70086255*n^2+952478*n^3-5325*n^4)*p2^3*p1+27648*
(8799558768000-13476381271661*n+112775861669479/18*n^2-14890425195017/12*n^3+
974028456097/8*n^4-116013226159/18*n^5+7037039515/36*n^6-64788397/18*n^7+
3035707/72*n^8-10841/36*n^9+37/36*n^10)*p1+4608*(5357579950080-7089188285407/4*
n+2547292065613/12*n^2-598636783619/48*n^3+19821290617/48*n^4-403587905/48*n^5+
5260855/48*n^6-5209/6*n^7+13/4*n^8)*p1^3-9331200*p8*p3*p1^2+114255360*p8*p3*p2+
104198400*p8*p4*p1-9123840*p9*p2*p1^2+13824*(-20715804679680+107142574423553/12
*n-48160474283849/36*n^2+13439310213485/144*n^3-494739033997/144*n^4+
10453214477/144*n^5-134698903/144*n^6+515101/72*n^7-463/18*n^8)*p2*p1+9216*(
48542708803680-56862610101045/2*n+34261004111797/6*n^2-4163055069775/8*n^3+
191226009455/8*n^4-4658704305/8*n^5+63175151/8*n^6-63887*n^7+3457/12*n^8-1/2*n^
9)*p3+1152/5*(41073109740-10667345735/2*n+1078427065/4*n^2-14518995/2*n^3+
470395/4*n^4-1125*n^5+5*n^6)*p1^5+27648/5*(26822766150180-15571777710975/2*n+
9414663696785/12*n^2-849627281105/24*n^3+6173305735/8*n^4-200832835/24*n^5+
1119845/24*n^6-215/2*n^7)*p5+6912*(-7803516118620+10565080503965/6*n-\
5036946533165/36*n^2+30929522245/6*n^3-886984235/9*n^4+12468505/12*n^5-209135/
36*n^6+155/12*n^7)*p4*p1+4608*(1790695459080-646270817969/2*n+84808894779/4*n^2
-5445561365/8*n^3+97874283/8*n^4-1042109/8*n^5+6083/8*n^6-7/4*n^7)*p3*p1^2+576/
5*(-258712020+17423270*n-474630*n^2+6560*n^3-40*n^4)*p2*p1^5+27648/11*(
2444321880-73798725*n+285285*n^2)*p11+576*(3059642352-699551756/3*n+6833077*n^2
-289342/3*n^3+569*n^4)*p2^2*p1^3+27648/7*(3666250027440-559849323719*n+
28342532211*n^2-2354439451/4*n^3+20564733/4*n^4-74193/4*n^5+63/4*n^6)*p7+4608*(
-10971068889600+4786846243139/2*n-717791430385/4*n^2+145403073451/24*n^3-\
2510302603/24*n^4+24887633/24*n^5-133955/24*n^6+23/2*n^7)*p3*p2+2304*(-\
317874800412+47585692339*n-16123511239/6*n^2+932084279/12*n^3-3896122/3*n^4+
149641/12*n^5-109/2*n^6)*p2*p1^3+6912*p3^2*p1^5
[4, 4, 3, 2, 2, 2, 2, 2]
446054400*p9*p2*p1^2+369008640*p10*p1^3+444579840*p7*p3*p2*p1+431308800*p7*p4*
p1^2+155520000*p8*p2^2*p1+575078400*p8*p3*p1^2+349977600*p6*p4*p2*p1+345784320*
p6*p5*p1^2+14929920*p7*p2^3-600116428800*p13+70502400*p5*p4*p2^2+430387200*p5*
p4*p3*p1-6088642560*p10*p2*p1+150958080*p5^2*p2*p1-8051097600*p11*p1^2+81930240
*p6*p3*p2^2+248586240*p6*p3^2*p1+40243200*p4*p3^3-2503802880*p8*p3*p2-\
5163264000*p8*p4*p1+100608000*p4^2*p3*p2+69120000*p4^3*p1-1064448000*p9*p2^2-\
6609715200*p9*p3*p1+103440384*p5*p3^2*p2-4260003840*p7*p5*p1-1720147968*p6*p5*
p2-2005032960*p6^2*p1-1251901440*p7*p3^2-2018304000*p7*p4*p2-2105241600*p6*p4*
p3-935424000*p5*p4^2+37840158720*p11*p2+102651494400*p12*p1-969228288*p5^2*p3+
36162846720*p10*p3+122880*(-75308604789600+44614874389606*n-543314693099519/60*
n^2+298737446449459/360*n^3-2728706215469/72*n^4+64671133229/72*n^5-4132679551/
360*n^6+3881447/45*n^7-12655/36*n^8+1/2*n^9)*p3+4608*(-1768020+30600*n)*p5*p2^2
*p1^2+5760*(17230400-333400*n+1000*n^2)*p4^2*p2*p1+5120*(21473940-893835/2*n+
3495/2*n^2)*p4*p3^2*p1+1920*(-1391760+22680*n)*p4*p2^3*p1+1920*(224480-4080*n)*
p4*p2^2*p1^3+23040*(-110286864+2354634*n-5490*n^2)*p8*p2*p1+368640*(-\
13199338152000+20399651581468*n-865090362523657/90*n^2+87079408472998/45*n^3-\
69614394048391/360*n^4+125094070271/12*n^5-4802336503/15*n^6+58689541/10*n^7-\
24004379/360*n^8+16393/36*n^9-53/36*n^10)*p1+122880/7*(-138660984+2969757*n-\
10017*n^2)*p7*p3*p1+61440*(-9154804479120+3211660821921*n-9933646111721/24*n^2+
3802915061353/144*n^3-136068527557/144*n^4+2917801855/144*n^5-38549881/144*n^6+
37559/18*n^7-271/36*n^8)*p1^3+15360*(-144773580+5568255/2*n-18795/2*n^2)*p6*p4*
p1+10240*(-111604584+2118207*n-6195*n^2)*p6*p3*p2+10240*(20915160-456687*n+1491
*n^2)*p6*p3*p1^2+36864*(1912957376640-663967012003/3*n+8231895749*n^2-374203484
/3*n^3+881752*n^4-2380*n^5)*p5*p2+640*(-29208+576*n)*p3*p2^2*p1^4+256/3*(3132-\
72*n)*p3*p2*p1^6+30720*(-10634199954+563124611*n-8600760*n^2+42028*n^3-21*n^4)*
p6*p2*p1+18432*(1697174512-83999129*n+1246923*n^2-5750*n^3)*p5*p2*p1^2+61440*(
1438609494420-374238506635/2*n+66065994939/8*n^2-2455355189/16*n^3+19207629/16*
n^4-58667/16*n^5+21/16*n^6)*p6*p1+15360*(-12273954844+1636345975/3*n-7788565*n^
2+130400/3*n^3-60*n^4)*p4*p3*p2+15360*(1988512000-99582835*n+1575800*n^2-9560*n
^3+15*n^4)*p4*p3*p1^2+11520*(1640205440-71504220*n+967990*n^2-4090*n^3)*p4*p2^2
*p1+15360*(-411329449208+110083152385/3*n-1103032717*n^2+45885092/3*n^3-101842*
n^4+228*n^5)*p3*p2^2+36864*(-298621694100+33760044838*n-7999422689/6*n^2+
23071571*n^3-1064257/6*n^4+510*n^5)*p5*p1^2+7680*(-252610990+35806120/3*n-\
176170*n^2+2390/3*n^3)*p4*p2*p1^3+10240*(1851063210-83856175*n+1253052*n^2-7040
*n^3+9*n^4)*p3^2*p2*p1+18432*(83952629460-13430149565/3*n+62266815*n^2-1080940/
3*n^3+600*n^4)*p5*p4+7680*(13177668-463365/2*n+441/2*n^2)*p6*p2^2*p1+5120*(-\
2134776+85533/2*n-105/2*n^2)*p6*p2*p1^3+9216*(-113130920+2042670*n-6150*n^2)*p5
*p4*p2+9216*(21129500-423350*n+1350*n^2)*p5*p4*p1^2+4096*(-2948040+131625/2*n-\
405/2*n^2)*p5*p3*p1^3+184320*(33057894357360-219039636730151/15*n+
810371662616699/360*n^2-23303175275129/144*n^3+879130393807/144*n^4-93203196097
/720*n^5+1164865007/720*n^6-851005/72*n^7+362/9*n^8)*p2*p1+512/7*(-189572880+
30714411/2*n-958083/2*n^2+7056*n^3-42*n^4)*p1^7+368640/7*(-6266775715200+
965901140092*n-97577760413/2*n^2+3931339167/4*n^3-31285751/4*n^4+99617/4*n^5-63
/4*n^6)*p7+12288*(17109972-670569/2*n+1845/2*n^2)*p5*p3*p2*p1+73728*(-\
43521383865960+12785213258619*n-46705528695689/36*n^2+1398363409685/24*n^3-\
88818380803/72*n^4+299447599/24*n^5-4608019/72*n^6+265/2*n^7)*p5+61440*(
18197003409480-60253868268479/15*n+10865856331183/36*n^2-80108457457/8*n^3+
11848115501/72*n^4-182322053/120*n^5+531389/72*n^6-25/2*n^7)*p3*p2+7680*(
62166625944-10264409859/2*n+298257549/2*n^2-1956939*n^3+10368*n^4)*p2^3*p1+7680
*(-9427511528+4749569981/6*n-48513095/2*n^2+1014482/3*n^3-1888*n^4)*p2^2*p1^3+
15360*(56258789640-33907817095/6*n+1224120815/6*n^2-10075385/3*n^3+77090/3*n^4-\
215/3*n^5)*p4*p1^3+20480*(-405273814572+81504449417/2*n-11173068231/8*n^2+
342467241/16*n^3-2700273/16*n^4+9527/16*n^5-9/16*n^6)*p3^2*p1+20480/9*(-\
13555473012+609690582*n-9142092*n^2+57438*n^3-108*n^4)*p3^3+40960*(-\
292271059080+22474698675*n-478571445*n^2+2773650*n^3-3960*n^4)*p9+7680*(-\
2543500+52870*n-150*n^2)*p4*p3*p2*p1^2+384*(-25120+520*n)*p4*p2*p1^5+92160/7*(
16116744-332094*n+630*n^2)*p7*p2*p1^2+24576*(-12738289290+662219009*n-10123632*
n^2+59623*n^3-90*n^4)*p5*p3*p1+1280*(395160-9270*n+30*n^2)*p4*p3*p1^4+368640/11
*(-4655851200+140119980*n-444444*n^2)*p11+512/3*(-4408200+216099*n-3537*n^2+18*
n^3)*p3*p1^6+3840*(13431200-249870*n+630*n^2)*p4*p3*p2^2+1536*(245760-4800*n)*
p5*p2*p1^4+30720*(63138505652-5781438146*n+1132817227/6*n^2-2844953*n^3+122363/
6*n^4-50*n^5)*p3*p2*p1^2+7680*(-238216480+10423327*n-143793*n^2+582*n^3)*p3*p2^
2*p1^2+960*(-182004696+6745032*n-66744*n^2)*p2^4*p1+2560*(35016036-1645967*n+
24915*n^2-112*n^3)*p3*p2*p1^4+46080*(-366097047096+74050706657/2*n-7625463565/6
*n^2+57059225/3*n^3-405610/3*n^4+1060/3*n^5)*p4*p2*p1+256/7*(323022-13944*n+168
*n^2)*p2*p1^7+2560*(-2052348+80793/2*n-189/2*n^2)*p3^2*p2^2*p1+5120/3*(372096-\
16497/2*n+45/2*n^2)*p3^2*p2*p1^3+1280*(187812-3240*n)*p3*p2^3*p1^2+1920*(-\
2926400+62600*n-200*n^2)*p4^2*p1^3+4096*(-133196040+2573397*n-9657*n^2)*p5*p3^2
+1536*(9993672-155520*n)*p5*p2^3+20480*(703066320-15586065*n+41085*n^2)*p9*p2+
20480*(-121736340+3274425*n-9405*n^2)*p9*p1^2+15360*(869161680-18323424*n+62784
*n^2)*p8*p3+7680*(17817120-445050*n+1170*n^2)*p8*p1^3+92160/7*(934521840-\
17294550*n+60270*n^2)*p7*p4+46080/7*(-90457584+1623006*n-2646*n^2)*p7*p2^2+
12288*(968050440-16458855*n+55923*n^2)*p6*p5+512*(252420-11025/2*n+21/2*n^2)*p6
*p1^5+36864/5*(-146305740+5337465/2*n-17325/2*n^2)*p5^2*p1+36864*(772191420-\
44279235/2*n+135135/2*n^2)*p10*p1+28486656000*p9*p4+3840*(-134594000+2572100*n-\
10100*n^2)*p4^2*p3+15360/7*(-2330496+54054*n-126*n^2)*p7*p1^4+30720*(
692521012548-689227614773/6*n+258205551703/36*n^2-223078687*n^3+137392837/36*n^
4-215095/6*n^5+1342/9*n^6)*p2*p1^3+61440*(-3397053141936+656558993486*n-\
185132340485/4*n^2+37661828275/24*n^3-226971839/8*n^4+6826547/24*n^5-11871/8*n^
6+11/4*n^7)*p3*p1^2+92160*(13446511473360-9441918045206/3*n+260175579581*n^2-\
19815817143/2*n^3+760135765/4*n^4-7592065/4*n^5+39255/4*n^6-235/12*n^7)*p4*p1+
5120*(-9548886432+873855125*n-29734128*n^2+480828*n^3-3711*n^4+10*n^5)*p3*p1^4+
1536*(1379178800-229995247/2*n+21619999/6*n^2-52333*n^3+916/3*n^4)*p2*p1^5+
30720*(2250938350680-770638779533/3*n+55815817421/6*n^2-1643444285/12*n^3+
12514685/12*n^4-44195/12*n^5+15/4*n^6)*p4*p3+320*(-1014768+15552*n)*p3*p2^4+512
/5*(-17820+360*n)*p5*p1^6+10240/3*(-292539744+29163297/2*n-967959/4*n^2+3003/2*
n^3-9/4*n^4)*p3^2*p1^3+2560*(1453289100-58096323*n+732915*n^2-2700*n^3)*p3*p2^3
+1280*(27385746-1088172*n+11556*n^2)*p2^3*p1^3+384*(-3503836+146524*n-1668*n^2)
*p2^2*p1^5+46080*(54600757920-3763041228*n+75178584*n^2-427536*n^3+540*n^4)*p8*
p1+184320/7*(62847149904-3584866978*n+56611758*n^2-288344*n^3+252*n^4)*p7*p2+
184320/7*(-9686978784+604085244*n-11240691*n^2+62118*n^3-63*n^4)*p7*p1^2+20480*
(77219388036-4248728092*n+63716646*n^2-370706*n^3+588*n^4)*p6*p3+10240*(
1614143916-183233645/2*n+6346011/4*n^2-16807/2*n^3+21/4*n^4)*p6*p1^3+9216*(-\
10665949396+476021169*n-6399633*n^2+27660*n^3)*p5*p2^2+11520*(-13304039400+
677292600*n-10009400*n^2+59700*n^3-100*n^4)*p4^2*p1+768*(34719340-1697480*n+
26690*n^2-130*n^3)*p4*p1^5+10240/9*(16797240-335853*n+1161*n^2)*p3^3*p2+10240/9
*(-3376512+75789*n-297*n^2)*p3^3*p1^2+512/3*(-53820+2709/2*n-9/2*n^2)*p3^2*p1^5
+46080*(-3988070561184+722347056988*n-139962530263/3*n^2+8532927151/6*n^3-\
45884745/2*n^4+1217489/6*n^5-4807/6*n^6)*p2^2*p1+3072*(-248414460+12930205*n-\
209745*n^2+1040*n^3)*p5*p1^4+23702077440*p8*p5-10137600*p9*p1^4-19353600*p8*p2*
p1^3+138240*p8*p1^5-30965760*p7*p3*p1^3-9953280*p7*p2^2*p1^2+552960*p7*p2*p1^4-\
20428800*p6*p4*p1^3+21768929280*p7*p6-36986880*p6*p3*p2*p1^2+1075200*p6*p3*p1^4
-1451520*p6*p2^3*p1+322560*p6*p2^2*p1^3-10752*p6*p2*p1^5-7741440*p5^2*p1^3-\
27648000*p5*p4*p2*p1^2+460800*p5*p4*p1^4-24330240*p5*p3^2*p1^2-14100480*p5*p3*
p2^2*p1+3072*(-116885147400+18071939411*n-6536527229/6*n^2+101617565/3*n^3-\
3576239/6*n^4+17512/3*n^5-76/3*n^6)*p1^5+1843200*p5*p3*p2*p1^3-18432*p5*p3*p1^5
-23040000*p4^2*p3*p1^2-6912000*p4^2*p2^2*p1-829440*p2^4*p1^3-30720*p3^3*p1^4+
1536*p3^2*p2*p1^5+768000*p4^2*p2*p1^3-2073600*p4*p3*p2^3+1689600*p4*p3^2*p1^3-\
22963200*p4*p3^2*p2*p1+1382400*p4*p3*p2^2*p1^2-76800*p4*p3*p2*p1^4-2457600*p3^4
*p1-1751040*p3^3*p2^2+860160*p3^3*p2*p1^2+3732480*p2^5*p1+27648*p2^3*p1^5+
207360*p3^2*p2^3*p1-46080*p3^2*p2^2*p1^3
[4, 4, 2, 2, 2, 2, 2, 2, 2]
36864*p2^2*p1^7+16803260006400*p13-104509440*p2^5*p1+107520*(928800-15660*n)*p4
*p2^3*p1+107520*(-240960+4500*n)*p4*p2^2*p1^3+21504*(60200-1260*n)*p4*p2*p1^5-\
2322432*p2^3*p1^5+35840*(32976-648*n)*p3*p2^2*p1^4+14336/3*(-8076+180*n)*p3*p2*
p1^6+143360*(1117341-42849/2*n+81/2*n^2)*p3^2*p2^2*p1+71680*(-477660+10990*n-30
*n^2)*p4*p3*p1^4+860160*(5865130656-258491180*n+7163525/2*n^2-18865*n^3+45/2*n^
4)*p4*p3*p2+860160*(-1258558572+193484390/3*n-1976575/2*n^2+16855/3*n^3-15/2*n^
4)*p4*p3*p1^2+645120*(-957471060+42651300*n-576150*n^2+2370*n^3)*p4*p2^2*p1+
430080*(203994630-10222790*n+152770*n^2-670*n^3)*p4*p2*p1^3+1720320*(5809496784
-1277052777/4*n+39685737/8*n^2-94227/4*n^3+63/8*n^4)*p6*p2*p1+1376256*(
6797116368-1434255173/4*n+42706869/8*n^2-119539/4*n^3+315/8*n^4)*p5*p3*p1+
286720/3*(-298041+12735/2*n-27/2*n^2)*p3^2*p2*p1^3+71680*(-129924+2268*n)*p3*p2
^3*p1^2+573440*(-1026612960+182374013/4*n-5166765/8*n^2+13071/4*n^3-27/8*n^4)*
p3^2*p2*p1+430080*(165275068-7235055*n+95805*n^2-342*n^3)*p3*p2^2*p1^2+143360*(
-35321160+1709735*n-24843*n^2+96*n^3)*p3*p2*p1^4+1032192*(-1111216260+58044777*
n-880131*n^2+3990*n^3)*p5*p2*p1^2+322560*(-10555200+206400*n-600*n^2)*p4^2*p2*
p1+286720*(-11338335+451475/2*n-1515/2*n^2)*p4*p3^2*p1+215040*(-6691620+123030*
n-270*n^2)*p4*p3*p2^2+737280*(-12586308+263466*n-378*n^2)*p7*p2*p1^2+860160*(
85555155-3284295/2*n+10815/2*n^2)*p6*p4*p1+573440*(55266582-1017387*n+2583*n^2)
*p6*p3*p2+573440*(-14865438+309981*n-861*n^2)*p6*p3*p1^2+430080*(-8732745+
308637/2*n-189/2*n^2)*p6*p2^2*p1+286720*(2238789-90531/2*n+63/2*n^2)*p6*p2*p1^3
+516096*(57876000-1056510*n+3150*n^2)*p5*p4*p2+516096*(-15820980+323190*n-1050*
n^2)*p5*p4*p1^2+229376*(2709441-117411/2*n+315/2*n^2)*p5*p3*p1^3+258048*(
1493352-26460*n)*p5*p2^2*p1^2+86016*(-378420+7560*n)*p5*p2*p1^4+1290240*(
67861332-1476090*n+2970*n^2)*p8*p2*p1+983040*(79230402-1616061*n+4725*n^2)*p7*
p3*p1+2580480*(177991905783-37562362325/2*n+1333755375/2*n^2-20200055/2*n^3+
70910*n^4-355/2*n^5)*p4*p2*p1+1720320*(-34876800102+10155477589/3*n-114955102*n
^2+10402747/6*n^3-11943*n^4+51/2*n^5)*p3*p2*p1^2+34836480*p2^4*p1^3+1625702400*
p5*p4*p2*p1^2+1481195520*p6*p3*p2*p1^2-13953945600*p6*p4*p2*p1-13934592000*p7*
p3*p2*p1+6451200*p4*p3*p2*p1^4-58060800*p4*p3*p2^2*p1^2+651571200*p4*p3^2*p2*p1
-108380160*p5*p3*p2*p1^3+487710720*p5*p3*p2^2*p1-13619773440*p5*p4*p3*p1+
1146880*(-354246750+7972965*n-19305*n^2)*p9*p2+1146880*(195316102431-\
243649407863/12*n+4237149691/6*n^2-507185545/48*n^3+3782935/48*n^4-3953/16*n^5+
3/16*n^6)*p3^2*p1+286720*(6601041234-1996069214/3*n+146615659/6*n^2-1223914/3*n
^3+18191/6*n^4-7*n^5)*p3*p1^4+430080*(-32394811197+5604629247/2*n-168277923/2*n
^2+1119609*n^3-5949*n^4)*p2^3*p1+2048*(-1079190+51062*n-636*n^2)*p2*p1^7+573440
*(-1171556694+290324839/4*n-10702419/8*n^2+27293/4*n^3-21/8*n^4)*p6*p1^3-\
918093496320*p10*p3+2580480*(-27949875228+2000100729*n-81916857/2*n^2+227667*n^
3-495/2*n^4)*p8*p1+1474560*(-29431477152+1707348633*n-54571767/2*n^2+135345*n^3
-189/2*n^4)*p7*p2+1024*(-14280+340*n)*p4*p1^7+573440/9*(-7368930+140913*n-405*n
^2)*p3^3*p2+573440/9*(2026530-42831*n+135*n^2)*p3^3*p1^2+28672/3*(77385-3729/2*
n+9/2*n^2)*p3^2*p1^5+17920*(497016-7776*n)*p3*p2^4+512/3*(1896-48*n)*p3*p1^8+
122880*(3067596-78078*n+126*n^2)*p7*p1^4+688128*(-471777390+8119503*n-27783*n^2
)*p6*p5+28672*(-542325+26061/2*n-21/2*n^2)*p6*p1^5+1146880*(86576490-2451735*n+
6435*n^2)*p9*p1^2+860160*(-411645960+8285904*n-25344*n^2)*p8*p3+430080*(-\
16579332+446886*n-990*n^2)*p8*p1^3+737280*(-451267740+8233110*n-27510*n^2)*p7*
p4+2064384*(-441164295+25958075/2*n-75075/2*n^2)*p10*p1+65399685120*p8*p3*p2+
1032192*p7*p1^6+229376*(60371010-1121277*n+3717*n^2)*p5*p3^2+86016*(-5672268+
90720*n)*p5*p2^3+28672/5*(90720-2100*n)*p5*p1^6+215040*(61824000-1149300*n+4100
*n^2)*p4^2*p3+107520*(2841600-62400*n+200*n^2)*p4^2*p1^3+368640*(48728556-\
878094*n+1134*n^2)*p7*p2^2-25804800*p3^3*p2*p1^2-90316800*p5*p4*p1^4+1550438400
*p6*p4*p1^3+1548288000*p7*p3*p1^3+1277337600*p8*p2*p1^3-22140518400*p9*p2*p1^2+
58060800*p4*p3*p2^3-82288640*p6*p3*p1^4+40642560*p6*p2^3*p1+60847718400*p7*p4*
p2-5806080*p3^2*p2^3*p1+1935360*p3^2*p2^2*p1^3-129024*p3^2*p2*p1^5-2438553600*
p5*p4*p2^2-2557771776*p5*p3^2*p2+852590592*p5*p3^2*p1^2+3612672*p5*p3*p1^5-\
2644992000*p4^2*p3*p2+881664000*p4^2*p3*p1^2+290304000*p4^2*p2^2*p1-64512000*p4
^2*p2*p1^3-72396800*p4*p3^2*p1^3-143360*p4*p3*p1^6-6976471040*p6*p3^2*p1-\
2221793280*p6*p3*p2^2-13547520*p6*p2^2*p1^3+903168*p6*p2*p1^5-6827950080*p5^2*
p2*p1+418037760*p7*p2^2*p1^2-46448640*p7*p2*p1^4+57354780672*p6*p5*p2-\
19118260224*p6*p5*p1^2+54129868800*p6*p4*p3-21799895040*p8*p3*p1^2-5748019200*
p8*p2^2*p1+161789902848*p7*p5*p1-20282572800*p7*p4*p1^2+232475443200*p10*p2*p1+
201724723200*p9*p3*p1+177549926400*p8*p4*p1+6881280*(29136015237420-\
34954257943191/2*n+323640315514751/90*n^2-40059552569863/120*n^3+369685353215/
24*n^4-2935624927/8*n^5+560487827/120*n^6-172348/5*n^7+4849/36*n^8-1/6*n^9)*p3+
1146880*(-35464640400+3889853135/2*n-113515563/4*n^2+313957/2*n^3-861/4*n^4)*p6
*p3+172032*(227722824-13237385*n+231609*n^2-1120*n^3)*p5*p1^4+1032192*(-\
38707910640+2071356770*n-57090465/2*n^2+162925*n^3-525/2*n^4)*p5*p4+516096*(
5269381824-240206445*n+3249225*n^2-13860*n^3)*p5*p2^2+645120*(7139535060-\
371371300*n+5418650*n^2-31600*n^3+50*n^4)*p4^2*p1+1474560*(5807812032-385745219
*n+15020013/2*n^2-40243*n^3+63/2*n^4)*p7*p1^2+53760*(117167364-4390416*n+43416*
n^2)*p2^4*p1+573440/3*(221946282-44692451/4*n+1397631/8*n^2-3841/4*n^3+9/8*n^4)
*p3^2*p1^3+143360*(-747197712+29548611*n-359235*n^2+1188*n^3)*p3*p2^3+43008*(-\
42270720+6989060/3*n-39170*n^2+550/3*n^3)*p4*p1^5+3440640*(-663721708545+
358886192301/4*n-8218455483/2*n^2+1253400407/16*n^3-9744665/16*n^4+28525/16*n^5
-7/16*n^6)*p6*p1+2064384*(-837581709510+98667336817*n-3727321569*n^2+57056582*n
^3-400260*n^4+1050*n^5)*p5*p2+2064384*(153694601130-18477380668*n+1547370087/2*
n^2-27911091/2*n^3+214095/2*n^4-595/2*n^5)*p5*p1^2+430080*(6156196017-\
1123195795/2*n+36649021/2*n^2-263752*n^3+1491*n^4)*p2^2*p1^3+71680*(-25338186+
1033830*n-11016*n^2)*p2^3*p1^3+1720320*(-979993293450+339472531513/3*n-\
8209417637/2*n^2+237558845/4*n^3-1745565/4*n^4+17225/12*n^5-5/4*n^6)*p4*p3+
21504*(5302024-234360*n+2700*n^2)*p2^2*p1^5+28672/3*(7350948-387067*n+6213*n^2-\
26*n^3)*p3*p1^6+3440640*(1540151927820-4698733139587/15*n+839558999369/36*n^2-\
6653275443/8*n^3+1118122909/72*n^4-18627709/120*n^5+56041/72*n^6-5/4*n^7)*p3*p1
^2-3640706334720*p12*p1+512/9*(215244-10800*n+144*n^2)*p1^9-1149696737280*p11*
p2+383232245760*p11*p1^2-25830604800*p10*p1^3+1230028800*p9*p1^4+33210777600*p9
*p2^2-774918144000*p9*p4-686696693760*p8*p5+29367336960*p7*p3^2+5160960*(-\
5687535474126+8244095245483/6*n-470587899701/4*n^2+27841823023/6*n^3-182632245/
2*n^4+10955531/12*n^5-18505/4*n^6+35/4*n^7)*p4*p1+3440640*(-7511177823084+
25316251201066/15*n-1546059248573/12*n^2+34605413751/8*n^3-1711963429/24*n^4+
77966707/120*n^5-72793/24*n^6+9/2*n^7)*p3*p2+86016*(-1176981345+666492437/6*n-\
7704773/2*n^2+179231/3*n^3-360*n^4)*p2*p1^5+20643840*(4949751807000-\
38588880591703/5*n+331711241971361/90*n^2-407621823709099/540*n^3+9243210281729
/120*n^4-63857081911/15*n^5+24196414483/180*n^6-113662613/45*n^7+3484591/120*n^
8-21445/108*n^9+23/36*n^10)*p1+10321920*(-13096203801210+355196772369887/60*n-\
3752636363223/4*n^2+1114328966395/16*n^3-130559164261/48*n^4+4755849359/80*n^5-\
36235663/48*n^6+132997/24*n^7-113/6*n^8)*p2*p1+860160*(-33155315283+21698163059
/6*n-281276105/2*n^2+4854575/2*n^3-18470*n^4+295/6*n^5)*p4*p1^3+860160*(
186923316930-17008630508*n+1033782571/2*n^2-7097185*n^3+91011/2*n^4-90*n^5)*p3*
p2^2+1146880/9*(6220767168-536066385/2*n+15172857/4*n^2-43311/2*n^3+135/4*n^4)*
p3^3+2293760*(131295003840-20386472535/2*n+870597585/4*n^2-2477475/2*n^3+6435/4
*n^4)*p9+20643840/11*(2211529320-66716364*n+204204*n^2)*p11+2064384/5*(87567165
-3274425/2*n+11025/2*n^2)*p5^2*p1+1720320*(-345583255878+184816602668/3*n-\
12438867776/3*n^2+552688453/4*n^3-14919457/6*n^4+287809/12*n^5-607/6*n^6)*p2*p1
^3+2580480*(1757416063842-662509414999/2*n+89261499815/4*n^2-1412689097/2*n^3+
46650099/4*n^4-104090*n^5+823/2*n^6)*p2^2*p1+688128*(-10164021+390285/2*n-945/2
*n^2)*p5*p3*p2*p1+430080*(1811720-36990*n+90*n^2)*p4*p3*p2*p1^2+3440640*(
3817053438930-28010197491089/20*n+34304595824293/180*n^2-620977879037/48*n^3+
7898395881/16*n^4-2692599307/240*n^5+37113881/240*n^6-7417/6*n^7+163/36*n^8)*p1
^3+172032*(68042310210-69910773283/6*n+28102701653/36*n^2-53594141/2*n^3+
18394727/36*n^4-15877/3*n^5+215/9*n^6)*p1^5+4128768*(17566351983180-\
5237212727116*n+6465474822011/12*n^2-195643461669/8*n^3+12490698403/24*n^4-\
41926303/8*n^5+633535/24*n^6-105/2*n^7)*p5+4096*(226046205-130880473/6*n+
4738621/6*n^2-38944/3*n^3+250/3*n^4)*p1^7+2949120*(2661633734760-416091429919*n
+21235747023*n^2-1717833261/4*n^3+13538751/4*n^4-41447/4*n^5+21/4*n^6)*p7+
38707200*p3^3*p2^2-874496000*p4*p3^3+2048*p3^2*p1^7+1433600*p3^3*p1^4+2150400*
p4^2*p1^5-2257920000*p4^3*p1+26097942528*p5^2*p3-14336*p6*p1^7+78394982400*p6^2
*p1+25469337600*p5*p4^2+758661120*p5^2*p1^3-42577920*p8*p1^5-647184384000*p7*p6
+57344000*p3^4*p1-418037760*p7*p2^3
[4, 3, 3, 3, 3, 3]
699840*p7*p2^3-12830400*p9*p2^2+544320*p6*p3*p2^2+64152000*p9*p4-999371520*p13+
874800*p5*p4*p2^2-10497600*p7*p4*p2-4811400*p8*p3*p2-2187000*p5*p4^2-2721600*p6
*p4*p3-6531840*p6*p5*p2+364500*p4^2*p3*p2-29160*p5*p2^4+12597120*p7*p2*p1^2-\
76982400*p9*p1^2+28868400*p8*p5+17496000*p3^3*p2-352719360*p7*p3*p1+11664000*p4
*p3^2*p1+57386880*p5*p3*p2*p1+5248800*p5*p4*p1^2+3265920*p6*p3*p1^2-176359680*
p5^2*p1-340122240*p5*p3^2-48600*p4*p3*p2^3+39191040*p7*p6+2430*(51744-448*n)*p6
*p2^2*p1+2916*(-1193400+29100*n-300*n^2)*p5*p4*p2+3645/2*(39000-400*n)*p4^2*p2*
p1+1215*(218880-5580*n+60*n^2)*p4*p3*p2^2+1215/2*(-12720+160*n)*p4*p2^3*p1+7290
*(-223740+1320*n)*p8*p2*p1+6480*(6275610-205920*n+1980*n^2)*p9*p2+14580*(-\
1537372620+140105065*n-9775725/2*n^2+91860*n^3-1975/2*n^4+5*n^5)*p4*p2*p1+9720*
(122424552-6939663*n+281187/2*n^2-1335*n^3+9/2*n^4)*p3*p2*p1^2+9720*(-33150264+
1440544*n-20776*n^2+112*n^3)*p6*p2*p1+7776*(-22862520+473850*n-3690*n^2)*p5*p3*
p1+5832*(1544520-28980*n+180*n^2)*p5*p2*p1^2+4860*(-88930980+4851885*n-213645/2
*n^2+1305*n^3-15/2*n^4)*p4*p3*p2+4860*(863880-14250*n+90*n^2)*p4*p3*p1^2+2430*(
-57240+720*n)*p4*p2*p1^3+4860*(-149520+1120*n)*p6*p4*p1+3240*(-876456+16464*n-\
168*n^2)*p6*p3*p2+3888*(5072760-85680*n+840*n^2)*p6*p5+58320/7*(446609898-\
32152218*n+876309*n^2-11634*n^3+63*n^4)*p7*p2+486*(347760-11160*n+120*n^2)*p5*
p2^3+1215*(-687240+14550*n-150*n^2)*p4^2*p3+14580/7*(-1520064+49560*n-504*n^2)*
p7*p2^2+11664*(12721133430-1629891085*n+79640905*n^2-8378765/4*n^3+132615/4*n^4
-1215/4*n^5+5/4*n^6)*p5*p2+11664*(-678527640+43557885*n-1609035/2*n^2+6975*n^3-\
45/2*n^4)*p5*p1^2+6480*(-1391699664+96674310*n-2010780*n^2+20880*n^3-90*n^4)*p3
^2*p1+1620*(-1856088+35586*n-162*n^2)*p3*p1^4+2430*(330151680-30938314*n+
1215645*n^2-26936*n^3+343*n^4-2*n^5)*p2^3*p1+29160*(79293077640-16831381417*n+
14994506581/12*n^2-1063359875/24*n^3+21739885/24*n^4-95105/8*n^5+795/8*n^6-5/12
*n^7)*p4*p1+5832*(485799300-27908175*n+1171125/2*n^2-6825*n^3+75/2*n^4)*p5*p4+
243/8*(3936-64*n)*p2^5*p1+972*p3*p2^5-3149280*p5*p1^4-13996800*p3^2*p1^3+524880
*p3*p2*p1^4+4860*(3718440-51183*n+495*n^2)*p8*p3+3645*(7162800-327100*n+5780*n^
2-40*n^3)*p4*p2^2*p1+3240*(232848-2016*n)*p6*p1^3+6480*(417518766-21960792*n+
383187*n^2-3864*n^3+21*n^4)*p6*p3+58320/7*(-7988400+127764*n-756*n^2)*p7*p1^2+
14580*(150283980-6661743*n+80817*n^2-330*n^3)*p8*p1+405/4*(-67104+2136*n-24*n^2
)*p3*p2^4+19440*(6283445238-670014856*n+23722083*n^2-390530*n^3+3409*n^4-14*n^5
)*p6*p1+14580*(-22374871200+3877307098*n-1550288867/6*n^2+113442199/12*n^3-\
2663129/12*n^4+13989/4*n^5-139/4*n^6+1/6*n^7)*p2^2*p1+810*(20836656-1326186*n+
35625*n^2-498*n^3+3*n^4)*p3*p2^3+405*(17712-288*n)*p2^3*p1^3+1215/4*(-1757760+
93400*n-1960*n^2+16*n^3)*p2^4*p1+19440*(-14294780208+2074994673*n-394535427/4*n
^2+16766967/8*n^3-200055/8*n^4+1281/8*n^5-3/8*n^6)*p3*p1^2+486*(132840-2160*n)*
p2*p1^5+2430*(-10253232+510204*n-9684*n^2+72*n^3)*p2^2*p1^3+19440*(125493778008
-113657025639/4*n+37867530019/16*n^2-1624758519/16*n^3+172594273/64*n^4-386963/
8*n^5+18825/32*n^6-71/16*n^7+1/64*n^8)*p3*p2+159213600*p11*p2+4860*(-3031964352
+333970508*n-29989615/2*n^2+1526857/4*n^3-24321/4*n^4+231/4*n^5-1/4*n^6)*p3*p2^
2+9720*(13809838500-1594403852*n+259306685/4*n^2-10858025/8*n^3+143625/8*n^4-\
1215/8*n^5+5/8*n^6)*p4*p3+4860*(48778560-1830630*n+28170*n^2-180*n^3)*p4*p1^3+
116640/11*(-25729704+1648647/2*n-15015/2*n^2)*p11+23328*(-308138935104+
362248997265/4*n-153211105755/16*n^2+7884842785/16*n^3-926783725/64*n^4+1080395
/4*n^5-103905/32*n^6+375/16*n^7-5/64*n^8)*p5+116640/7*(-40436067672+12687338769
/2*n-355423929*n^2+39150321/4*n^3-618009/4*n^4+5439/4*n^5-21/4*n^6)*p7+9720*(
1845710784-199404597*n+15404973/2*n^2-155784*n^3+3519/2*n^4-9*n^5)*p2*p1^3+
23351328*p10*p3-2332800*p3^2*p2^2*p1+58320*p3*p2^3*p1^2+29160/7*(5478480-128940
*n+1260*n^2)*p7*p4+11664*(966966-4004*n)*p10*p1+3645*(-30038640+1074310*n-16650
*n^2+100*n^3)*p4^2*p1+3240*(3735720-87840*n+720*n^2)*p3^2*p2*p1+2430*(-261312+
5556*n-36*n^2)*p3*p2^2*p1^2+2916*(-105616080+7105110*n-191385*n^2+2610*n^3-15*n
^4)*p5*p2^2+972*(-85426704+4358250*n-79110*n^2+540*n^3)*p1^5+58320*(
237502425216-400643434723/4*n+710472922321/48*n^2-50427677411/48*n^3+8167326067
/192*n^4-36059207/32*n^5+2023867/96*n^6-6727/24*n^7+467/192*n^8-1/96*n^9)*p2*p1
+19440*(-52441492608+15104994348*n-5868322215/4*n^2+513380481/8*n^3-11914455/8*
n^4+169977/8*n^5-1467/8*n^6+3/4*n^7)*p1^3+116640*(-109780070400+667955871001/4*
n-3703107549403/48*n^2+2934874193281/192*n^3-73379785855/48*n^4+22063432033/256
*n^5-11638156037/3840*n^6+5838611/80*n^7-485963/384*n^8+12079/768*n^9-493/3840*
n^10+1/1920*n^11)*p1+12960*(-1731241512+276998535/2*n-3772890*n^2+48510*n^3-495
/2*n^4)*p9+720*(-53489160+1372950*n-12150*n^2)*p3^3+38880*(-582798513024+
341867607597*n-69932914431*n^2+431623194487/64*n^3-22723183043/64*n^4+
2928872977/256*n^5-316878129/1280*n^6+478825/128*n^7-4981/128*n^8+65/256*n^9-1/
1280*n^10)*p3-1049760*p5*p2^2*p1^2-874800*p4*p3*p2*p1^2
[4, 3, 3, 3, 3, 2, 2]
5184*(-9761054760+812201093*n-109749085/4*n^2+4274381/8*n^3-52005/8*n^4+363/8*n
^5-1/8*n^6)*p3*p2*p1^2+864*(87024-672*n)*p6*p2*p1^3+7776/5*(39843600-805500*n+
5700*n^2)*p5*p4*p2+7776/5*(-1236000+20550*n-150*n^2)*p5*p4*p1^2+3888*(22025190-\
552420*n+3960*n^2)*p8*p2*p1-16422912*p7*p3*p2*p1+3888/5*(349680-7980*n+60*n^2)*
p5*p2^2*p1^2-233280*p4*p3*p1^4+972*(-3363100+62600*n-400*n^2)*p4^2*p2*p1+864*(-\
2353860+42840*n-360*n^2)*p4*p3^2*p1+648*(-6709560+150840*n-1080*n^2)*p4*p3*p2^2
+324*(-19560+240*n)*p4*p2^2*p1^3+432*(653256-16560*n+144*n^2)*p3^2*p2^2*p1+216*
(-65616+1596*n-12*n^2)*p3*p2^3*p1^2+5184*(2073518916-343607824/3*n+2358384*n^2-\
69272/3*n^3+84*n^4)*p6*p2*p1+20736/7*(17737902-345996*n+2772*n^2)*p7*p3*p1+
15552/7*(-1718640+34524*n-252*n^2)*p7*p2*p1^2+2592*(18454800-321440*n+2240*n^2)
*p6*p4*p1+1728*(-1018500+11928*n-84*n^2)*p6*p3*p1^2+1296*(-4162592+98112*n-672*
n^2)*p6*p2^2*p1+25317411840*p13-38880*p4*p3*p2^2*p1^2+622080*p4*p3^2*p2*p1+
1399680*p5*p3*p2^2*p1+466560*p5*p4*p2*p1^2-6998400*p5*p4*p3*p1+1296*(231600-\
4110*n+30*n^2)*p4*p3*p2*p1^2+1728*(39192300-890988*n+6720*n^2)*p6*p3*p2+324*(
723240-15200*n+80*n^2)*p4*p2^3*p1+7776*(77758516410-15410599895/2*n+3451382095/
12*n^2-34370195/6*n^3+797095/12*n^4-1220/3*n^5+5/6*n^6)*p4*p2*p1+1296*(37230864
-1777227*n+72909/2*n^2-381*n^3+3/2*n^4)*p3*p2^2*p1^2+10368/5*(-3524670+80595*n-\
675*n^2)*p5*p3*p2*p1+432*(-1013508+21420*n-108*n^2)*p3*p2*p1^4+1728*(-355974264
+17300862*n-357336*n^2+3924*n^3-18*n^4)*p3^2*p2*p1+20736/5*(2090143170-\
400669335/4*n+14994045/8*n^2-76545/4*n^3+675/8*n^4)*p5*p3*p1+15552/5*(-\
211366140+9955575*n-382545/2*n^2+1905*n^3-15/2*n^4)*p5*p2*p1^2+2592*(3570752790
-366530065/2*n+14160195/4*n^2-68735/2*n^3+525/4*n^4)*p4*p3*p2+2592*(-182137530+
13819755/2*n-447345/4*n^2+1965/2*n^3-15/4*n^4)*p4*p3*p1^2+1944*(-388274880+
59432860/3*n-389670*n^2+10580/3*n^3-10*n^4)*p4*p2^2*p1+1296*(17462040-648330*n+
9510*n^2-60*n^3)*p4*p2*p1^3-11612160*p6*p4*p2*p1+7776*(967581899956-\
172524061112*n+11507402643*n^2-1208206157/3*n^3+8720470*n^4-122702*n^5+1059*n^6
-13/3*n^7)*p2^2*p1+5184*(-118611265956+16777529474*n-3660264369/4*n^2+219703299
/8*n^3-4287677/8*n^4+56811/8*n^5-481/8*n^6+1/4*n^7)*p2*p1^3+31104*(-\
9108884364960+94677036108601/24*n-172510399571747/288*n^2+12456670274711/288*n^
3-1991229445853/1152*n^4+24857954789/576*n^5-422724025/576*n^6+308897/36*n^7-\
24503/384*n^8+133/576*n^9)*p2*p1+1296*(1116003984-85594749*n+5578107/2*n^2-\
52140*n^3+1149/2*n^4-3*n^5)*p2^2*p1^3+1296/5*(-56326620+2814900*n-51300*n^2+360
*n^3)*p2*p1^5+15552*(-3365390301420+2275921652140/3*n-486945428905/8*n^2+
2352749615*n^3-4969832585/96*n^4+5797245/8*n^5-306835/48*n^6+745/24*n^7-5/96*n^
8)*p4*p1+10368*(-4924919323692+8871915340573/8*n-2841640824333/32*n^2+
109904830431/32*n^3-9710369219/128*n^4+8520287/8*n^5-608383/64*n^6+1521/32*n^7-\
11/128*n^8)*p3*p2+2592*(116144203212-11744187455*n+899423833/2*n^2-18199695/2*n
^3+107422*n^4-1355/2*n^5+3/2*n^6)*p3*p2^2+864*(584518824-31676301*n+1212849/2*n
^2-5193*n^3+27/2*n^4)*p3*p1^4+1296*(-14855134248+4106750719/3*n-306150737/6*n^2
+1032902*n^3-70231/6*n^4+179/3*n^5)*p2^3*p1-3888*p3*p2^5+248832*p3^3*p2^2+3456/
5*(32809590-702540*n+5940*n^2)*p5*p3^2+1296/5*(-7553520+171720*n-1080*n^2)*p5*
p2^3+648*(31152000-586350*n+4350*n^2)*p4^2*p3+7776/7*(42904848-1063440*n+7056*n
^2)*p7*p2^2+10368/5*(-243036360+4489380*n-32760*n^2)*p6*p5+3359232*p7*p1^4+
31104/25*(19827675-390600*n+3150*n^2)*p5^2*p1+31104/5*(-110855745+2812810*n-\
20020*n^2)*p10*p1+3456*(-228887505+6455790*n-43560*n^2)*p9*p2+3456*(8268975-\
140580*n+990*n^2)*p9*p1^2+2592*(-215544780+4835655*n-36135*n^2)*p8*p3+1296*(-\
398970+1980*n)*p8*p1^3+15552/7*(-229226760+4283580*n-29820*n^2)*p7*p4+16111872*
p3^3*p1^2+54*(1277856-28968*n+168*n^2)*p3*p2^4+81/5*(-134960+2400*n)*p2^5*p1+27
*(5520-96*n)*p2^4*p1^3+31104/5*(48559015125-4638390005*n+647175845/4*n^2-\
23926385/8*n^3+272625/8*n^4-1815/8*n^5+5/8*n^6)*p5*p1^2+5184*(-582113297610+
68281450500*n-10921789715/4*n^2+417824365/8*n^3-4763005/8*n^4+31115/8*n^5-85/8*
n^6)*p4*p3+2592*(-6044236110+892346085/2*n-49275735/4*n^2+187320*n^3-6705/4*n^4
+15/2*n^5)*p4*p1^3+648/5*(-282600+3600*n)*p4*p1^5+576*(11551248-261576*n+1728*n
^2)*p3^2*p1^3+432*(-627723864+33063323*n-1341825/2*n^2+6313*n^3-39/2*n^4)*p3*p2
^3+7776/5*(3571686720-201217775*n+8133825/2*n^2-38065*n^3+255/2*n^4)*p5*p2^2+
2592/5*(5908500-108540*n+540*n^2)*p5*p1^4+1944*(2155103100-295810750/3*n+
1691200*n^2-44000/3*n^3+50*n^4)*p4^2*p1+7776*(-9857880450+617955305*n-13114530*
n^2+130900*n^3-495*n^4)*p8*p1+31104/7*(-17485852923+1138051733*n-49955787/2*n^2
+241591*n^3-1701/2*n^4)*p7*p2+31104/7*(1085446593-52157007*n+1803249/2*n^2-8253
*n^3+63/2*n^4)*p7*p1^2+3456*(-19450609353+1122127181*n-42568701/2*n^2+207739*n^
3-1659/2*n^4)*p6*p3+1728*(-93707964+3076752*n-35532*n^2+168*n^3)*p6*p1^3+15552/
5*(-21096523350+2345236975/2*n-81650625/4*n^2+369125/2*n^3-2775/4*n^4)*p5*p4+
139968*p3*p1^6+192*(-5976180+146448*n-1296*n^2)*p3^3*p2-559872*p5*p2*p1^4-\
1990656*p3^2*p2*p1^3+46656*p3*p2^2*p1^4-5734800*p4^2*p3*p2+97200*p4^2*p3*p1^2+
388800*p4^2*p2^2*p1+479520*p4*p3*p2^3-12960*p4*p2^4*p1-41472*p3^2*p2^3*p1+1296*
p3*p2^4*p1^2-9097920*p5*p4*p2^2-8211456*p5*p3^2*p2-31104*p5*p2^3*p1^2+580608*p6
*p2^3*p1-7838208*p5^2*p2*p1-11757312*p6*p3*p2^2+74753280*p6*p4*p3-2322432*p6*p3
^2*p1+559872*p7*p2^2*p1^2+137604096*p6*p5*p2-1741824*p6*p5*p1^2-1283040*p8*p3*
p1^2-15396480*p8*p2^2*p1+91819008*p7*p5*p1+135302400*p7*p4*p2-2799360*p7*p4*p1^
2+249080832*p10*p2*p1+99221760*p9*p3*p1-6842880*p9*p2*p1^2+89812800*p8*p4*p1+
188606880*p8*p3*p2+324*(63300-600*n)*p4^2*p1^3+3456*(81572080131-15289888257/2*
n+1065912051/4*n^2-5154966*n^3+252567/4*n^4-927/2*n^5+3/2*n^6)*p3^2*p1+162*(
71636496-11109496/3*n+71736*n^2-1616/3*n^3)*p2^4*p1+216*(-3793248+171156*n-3132
*n^2+24*n^3)*p2^3*p1^3+324/5*(82800-1440*n)*p2^2*p1^5+10368*(-313242326145+
114727965100/3*n-4934944378/3*n^2+34589310*n^3-1247981/3*n^4+8120/3*n^5-7*n^6)*
p6*p1+31104/5*(-509378932035+62512488820*n-2710073950*n^2+114147335/2*n^3-\
669550*n^4+8345/2*n^5-10*n^6)*p5*p2+23701248*p5*p3*p1^3-909232128*p7*p6+290304*
p6*p3*p2*p1^2+10368*(724839953412-1008762357247/8*n+256053746087/32*n^2-\
8305703381/32*n^3+669241417/128*n^4-573119/8*n^5+42253/64*n^6-115/32*n^7+1/128*
n^8)*p3*p1^2+62208*(3910915008000-144055446823481/24*n+808184271587165/288*n^2-\
323990336473337/576*n^3+21722239597663/384*n^4-7260155056177/2304*n^5+
243813113803/2304*n^6-336511505/144*n^7+6948911/192*n^8-100733/256*n^9+6367/
2304*n^10-11/1152*n^11)*p1+62208/5*(11932422842340-28222964174785/8*n+
11808628082805/32*n^2-577011650515/32*n^3+59587700275/128*n^4-6932295*n^5+
3931255/64*n^6-9625/32*n^7+75/128*n^8)*p5+2592/5*(11600193060-1222245165*n+
94342905/2*n^2-919500*n^3+19395/2*n^4-45*n^5)*p1^5+6912*(74377222920-5936132235
*n+593750025/4*n^2-2987985/2*n^3+21285/4*n^4)*p9+62208/11*(1163962800-74008935/
2*n+495495/2*n^2)*p11+384*(3384330741-161542998*n+3209544*n^2-34668*n^3+162*n^4
)*p3^3-1924715520*p12*p1-1070055360*p8*p5+432/35*(1304100-22680*n)*p1^7+20736*(
21542094428400-12736594081540*n+125209746095021/48*n^2-47485162311905/192*n^3+
590932591193/48*n^4-269707853695/768*n^5+4792444907/768*n^6-28077527/384*n^7+
71411/128*n^8-1871/768*n^9+1/256*n^10)*p3+10368*(2256825431520-5811460182437/8*
n+2685690843205/32*n^2-152604759041/32*n^3+20204529219/128*n^4-221565241/64*n^5
+3454783/64*n^6-9575/16*n^7+555/128*n^8-1/64*n^9)*p1^3+62208/7*(1648171324800-\
518322739081/2*n+14039716544*n^2-1376001249/4*n^3+17217361/4*n^4-109039/4*n^5+
273/4*n^6)*p7-5412096*p7*p2^3-2844616320*p11*p2+42456960*p11*p1^2-1463349888*
p10*p3-1094860800*p9*p4+153964800*p9*p2^2+147744*p5*p2^4-972000*p4^3*p1-1244160
*p4*p3^3+34408800*p5*p4^2+32514048*p6^2*p1+45069696*p5^2*p3+47775744*p7*p3^2
[4, 3, 3, 3, 2, 2, 2, 2]
487710720*p6*p4*p2*p1+224404992*p6*p3*p2^2-7741440*p6*p4*p1^3+244629504*p6*p3^2
*p1-13934592*p6*p2^3*p1+184135680*p5*p3^2*p2+177137280*p5*p4*p2^2+372003840*p5*
p4*p3*p1-45287424*p6*p3*p2*p1^2+240371712*p5^2*p2*p1-16422912*p5*p3^2*p1^2+
96768*p6*p3*p1^4-33592320*p5*p4*p2*p1^2-5225472*p5^2*p1^3+51425280*p4*p3^3+
151113600*p4^2*p3*p2+46656000*p4^3*p1-13996800*p4^2*p2^2*p1-10886400*p4^2*p3*p1
^2+1161216*p6*p2^2*p1^3-2146176*p5*p2^4-36702720*p5*p3*p2^2*p1-675130982400*p13
-2448230400*p6*p4*p3+155520*p5*p4*p1^4-8285760*p4*p3*p2^3-30689280*p4*p3^2*p2*
p1+1866240*p5*p3*p2*p1^3-962668800*p5*p4^2-1170505728*p5^2*p3+995328*p5*p2^3*p1
^2-2654208*p3^4*p1+264757248*p6*p5*p1^2-4644864*p3^3*p2^2-31104*p5*p2^2*p1^4+
518400*p4^2*p2*p1^3+5184*(30565080-687456*n+3696*n^2)*p6*p2^2*p1+3456*(-2631272
+58128*n-336*n^2)*p6*p2*p1^3+414720*p4*p3^2*p1^3+13824/5*(-2388600+98775/2*n-\
675/2*n^2)*p5*p3*p1^3+15552*(-183027240+4587660*n-25740*n^2)*p8*p2*p1+82944/7*(
-190301160+4252458*n-26082*n^2)*p7*p3*p1+62208/7*(23214744-549654*n+3150*n^2)*
p7*p2*p1^2+10368*(-192467520+3750880*n-22400*n^2)*p6*p4*p1+6912*(-230870360+
4962174*n-29190*n^2)*p6*p3*p2+6912*(22920296-499226*n+3234*n^2)*p6*p3*p1^2+
82944/5*(-17495649240+928738815*n-67131075/4*n^2+289845/2*n^3-1875/4*n^4)*p5*p3
*p1+3888*(29364600-596600*n+3400*n^2)*p4^2*p2*p1+3456*(29726760-644340*n+4260*n
^2)*p4*p3^2*p1+2592*(35767500-761785*n+4285*n^2)*p4*p3*p2^2+864*(179700-2715*n+
15*n^2)*p4*p3*p1^4+1296*(-4758060+99520*n-440*n^2)*p4*p2^3*p1+1296*(428280-8920
*n+40*n^2)*p4*p2^2*p1^3+1296/5*(-16700+200*n)*p4*p2*p1^5+15552/5*(-3857500+
85090*n-450*n^2)*p5*p2^2*p1^2+5184/5*(256380-5190*n+30*n^2)*p5*p2*p1^4+31104/5*
(-228562400+4500275*n-25775*n^2)*p5*p4*p2+31104/5*(22131700-430525*n+2625*n^2)*
p5*p4*p1^2+650944512*p7*p3*p2*p1+31104*(-525144557640+109379156945/2*n-\
24759807665/12*n^2+464252965/12*n^3-2427095/6*n^4+25985/12*n^5-15/4*n^6)*p4*p2*
p1+1728*(33098100-3043869/2*n+113481/4*n^2-513/2*n^3+3/4*n^4)*p3*p2*p1^4+20736*
(82958686280-7703381650*n+2204476103/8*n^2-83490953/16*n^3+906473/16*n^4-5079/
16*n^5+9/16*n^6)*p3*p2*p1^2+62208/5*(2215488920-115944445*n+4394215/2*n^2-18675
*n^3+105/2*n^4)*p5*p2*p1^2+10368*(-21240213760+6333261565/6*n-74857265/4*n^2+
941615/6*n^3-1895/4*n^4)*p4*p3*p2+10368*(2328226700-114431040*n+2091360*n^2-\
18520*n^3+60*n^4)*p4*p3*p1^2+7776*(2799550320-141482565*n+2593065*n^2-20970*n^3
+50*n^4)*p4*p2^2*p1+5184*(-282387580+40827695/3*n-249680*n^2+6220/3*n^3-5*n^4)*
p4*p2*p1^3+5184*(-374127580+18691480*n-711035/2*n^2+3025*n^3-15/2*n^4)*p3*p2^2*
p1^2+1728*(-5037480+115416*n-696*n^2)*p3^2*p2^2*p1+1152*(435492-10296*n+72*n^2)
*p3^2*p2*p1^3+864*(637364-14114*n+66*n^2)*p3*p2^3*p1^2+432*(-46800+1062*n-6*n^2
)*p3*p2^2*p1^4+20736*(-15708467880+897329188*n-17392564*n^2+146356*n^3-420*n^4)
*p6*p2*p1+2643840*p4*p3*p2^2*p1^2-25920*p4*p3*p2*p1^4+216*(-5603360+116436*n-\
468*n^2)*p3*p2^4+5184/5*(35525940-749220*n+3660*n^2)*p5*p2^3+2592*(-221605000+
4395250*n-27050*n^2)*p4^2*p3+1296*(-2124400+37000*n-200*n^2)*p4^2*p1^3+13824/5*
(-229807800+4792770*n-30330*n^2)*p5*p3^2+124416/25*(-196381500+3741675*n-22575*
n^2)*p5^2*p1+31104/7*(-223845720+5130426*n-27426*n^2)*p7*p2^2+10368/7*(-1343496
+22134*n-126*n^2)*p7*p1^4+41472/5*(1568557200-28254450*n+164010*n^2)*p6*p5+1728
/5*(80360-560*n)*p6*p1^5+13824*(-133654620+3442395*n-20295*n^2)*p9*p1^2+31104*(
75163564080-5206402410*n+114924480*n^2-999240*n^3+2970*n^4)*p8*p1+124416/7*(
102732992880-6457171805*n+256798899/2*n^2-1063279*n^3+6069/2*n^4)*p7*p2+768*(
37100160-833112*n+5400*n^2)*p3^3*p2+768*(-3741768+87912*n-648*n^2)*p3^3*p1^2+
576/5*(-1490940+32715*n-135*n^2)*p3*p1^6+1728*(3292013580-971007229/6*n+
11782971/4*n^2-140561/6*n^3+201/4*n^4)*p3*p2^3+10368*(-662887634160+
129884794867/2*n-55657027639/24*n^2+2034248243/48*n^3-21067303/48*n^4+110917/48
*n^5-57/16*n^6)*p3*p2^2+31104/5*(-19842322540+6275440475/6*n-76124435/4*n^2+
918985/6*n^3-1605/4*n^4)*p5*p2^2+10368/5*(-195965100+17498655/2*n-591105/4*n^2+
2505/2*n^3-15/4*n^4)*p5*p1^4+2592/5*(19259000-669875*n+8625*n^2-50*n^3)*p4*p1^5
+2304*(-285681060+13507227*n-257112*n^2+2466*n^3-9*n^4)*p3^2*p1^3+324/5*(721200
-12960*n)*p2^5*p1+108*(-72224+1344*n)*p2^4*p1^3+216/5*(4280-80*n)*p2^3*p1^5-\
34560*p4*p2^3*p1^3+369515520*p8*p3*p1^2-31104*p3*p2^4*p1^2-82944*p3^2*p2^2*p1^3
+311040*p4*p2^4*p1+995328*p3^3*p2*p1^2+884736*p3^2*p2^3*p1+1728*p3*p2^3*p1^4+
46656*p3*p2^5+124416/5*(1038437400-30160130*n+170170*n^2)*p10*p1+13824*(
1324547400-34817805*n+189585*n^2)*p9*p2+10368*(1430437800-32435370*n+189090*n^2
)*p8*p3+62208/7*(1504339200-28890960*n+166320*n^2)*p7*p4+5184*(14987280-326700*
n+1980*n^2)*p8*p1^3+6912*(2888014980-143900337*n+2711583*n^2-24240*n^3+78*n^4)*
p3^2*p2*p1+7776*(-18079323600+926782250*n-15836350*n^2+131100*n^3-400*n^4)*p4^2
*p1+124416/7*(-11619608280+701619436*n-14229390*n^2+124628*n^3-378*n^4)*p7*p1^2
+13824*(120308998320-20961439415/3*n+248561103/2*n^2-3105613/3*n^3+6489/2*n^4)*
p6*p3+1296/5*(-3715240+162030*n-2770*n^2+20*n^3)*p2^2*p1^5+864/35*(134820-2520*
n)*p2*p1^7+864*(47345100-6938054/3*n+42126*n^2-892/3*n^3)*p2^3*p1^3+648*(-\
447565200+22050052*n-394204*n^2+2680*n^3)*p2^4*p1+27648*(-446379733800+
71534766875/2*n-3423238335/4*n^2+14662615/2*n^3-84645/4*n^4)*p9+41472*(
2035535178600-265529198641*n+72732270289/6*n^2-1534728881/6*n^3+8355571/3*n^4-\
91693/6*n^5+63/2*n^6)*p6*p1+13824*(-568825464780+57789761247*n-2114981086*n^2+
156153387/4*n^3-1681257/4*n^4+9921/4*n^5-23/4*n^6)*p3^2*p1+124416/5*(
2927272232400-712943660055/2*n+354785801915/24*n^2-13517808115/48*n^3+139184615
/48*n^4-737525/48*n^5+465/16*n^6)*p5*p2+6912*(1617955920-254381708/3*n+1577730*
n^2-41272/3*n^3+42*n^4)*p6*p1^3+62208/5*(130105693200-43581270575/6*n+473778525
/4*n^2-5677375/6*n^3+11575/4*n^4)*p5*p4+41472*(-4696409324440+2681666048926/3*n
-188545906885/3*n^2+106517062981/48*n^3-4393563077/96*n^4+9569541/16*n^5-58531/
12*n^6+259/12*n^7-1/32*n^8)*p3*p1^2+62208*(19456987060560-13711862932675/3*n+
9206386994005/24*n^2-736202309755/48*n^3+16053578035/48*n^4-69632585/16*n^5+
1643225/48*n^6-3485/24*n^7+5/24*n^8)*p4*p1+248832/5*(-64515936084600+
19267390741680*n-48450999798535/24*n^2+4644779918815/48*n^3-56413646425/24*n^4+
1497432565/48*n^5-11550245/48*n^6+12055/12*n^7-25/16*n^8)*p5+248832/11*(-\
7371764400+234053820*n-1261260*n^2)*p11+1728/35*(-94854480+5149725*n-94815*n^2+
630*n^3)*p1^7+31104*(-5791311342720+3206868825715/3*n-1743983241761/24*n^2+
119785586435/48*n^3-2428384697/48*n^4+31046059/48*n^5-79767/16*n^6+433/24*n^7)*
p2^2*p1+5184*(-11654027760+1009537276*n-211554829/6*n^2+1989344/3*n^3-41573/6*n
^4+97/3*n^5)*p2^2*p1^3+5184/5*(1220103200-187767905/2*n+11887425/4*n^2-52210*n^
3+2115/4*n^4-5/2*n^5)*p2*p1^5+431101440*p8*p2^2*p1-2985486336*p6*p5*p2+373248*
p7*p2*p1^4+248832/7*(-9374556391200+1485672765745*n-318247820107/4*n^2+
14709039891/8*n^3-161164815/8*n^4+863989/8*n^5-1771/8*n^6)*p7-29113344*p7*p2^2*
p1^2-10948608*p7*p3*p1^3+248832*(-19554575040000+30277716719831*n-\
344033029480271/24*n^2+839466599311891/288*n^3-4753534988111/16*n^4+
2132828290577/128*n^5-638013457063/1152*n^6+1694061211/144*n^7-98051609/576*n^8
+1947805/1152*n^9-12319/1152*n^10+19/576*n^11)*p1+10368*(64862408760-\
18491593105/3*n+1325038405/6*n^2-49177645/12*n^3+523325/12*n^4-2875/12*n^5+5/12
*n^6)*p4*p1^3+82944*(-111424183634400+399291120104365/6*n-494362890212699/36*n^
2+374432347695457/288*n^3-4560756767569/72*n^4+1965791088401/1152*n^5-\
31635339577/1152*n^6+164699425/576*n^7-365837/192*n^8+8041/1152*n^9-1/128*n^10)
*p3-6112972800*p9*p3*p1-8966909952*p10*p2*p1+253808640*p7*p4*p1^2+124416*(
48543693348000-129243226221163/6*n+10076469745385/3*n^2-5957680101109/24*n^3+
119837955959/12*n^4-5816262631/24*n^5+23088397/6*n^6-327089/8*n^7+1089/4*n^8-7/
8*n^9)*p2*p1-3209932800*p7*p4*p2+10368/5*(-128980128400+55033918765/3*n-\
24716927465/24*n^2+1505097595/48*n^3-28642825/48*n^4+118585/16*n^5-2725/48*n^6+
5/24*n^7)*p1^5-3995246592*p7*p5*p1-20528640*p8*p2*p1^3+20736*(900585878680-\
436390106783/3*n+217453471805/24*n^2-4782608833/16*n^3+96638247/16*n^4-3765311/
48*n^5+29681/48*n^6-55/24*n^7)*p2*p1^3+41472*(27131444973400-18448717729142/3*n
+11695545193541/24*n^2-288521969391/16*n^3+728809263/2*n^4-219271865/48*n^5+
1707077/48*n^6-3565/24*n^7+3/16*n^8)*p3*p2+3456*(-9477955200+1590130437/2*n-\
211201345/8*n^2+7704201/16*n^3-83997/16*n^4+495/16*n^5-1/16*n^6)*p3*p1^4+5184*(
97393426560-17851430207/2*n+3808619393/12*n^2-17704696/3*n^3+722155/12*n^4-1633
/6*n^5)*p2^3*p1-4311014400*p8*p4*p1+574801920*p9*p2*p1^2+124416/5*(-\
387667686180+42761941075*n-13697385735/8*n^2+537349265/16*n^3-5805185/16*n^4+
32335/16*n^5-65/16*n^6)*p5*p1^2+20736*(3396250122000-2410996424945/6*n+
378715688095/24*n^2-13439257855/48*n^3+136395035/48*n^4-757705/48*n^5+1655/48*n
^6)*p4*p3+41472/5*(30703650-1342875/2*n+8175/2*n^2)*p5*p3*p2*p1+41472*(-\
13016262768000+13474485021800/3*n-40939467856939/72*n^2+2589783292975/72*n^3-\
379257584743/288*n^4+4435774327/144*n^5-70471445/144*n^6+381053/72*n^7-3457/96*
n^8+17/144*n^9)*p1^3-5434490880*p11*p1^2+62496645120*p11*p2+92386344960*p12*p1+
25639649280*p7*p6+27220976640*p8*p5-4290485760*p8*p3*p2+5184*(-3701420+81155*n-\
495*n^2)*p4*p3*p2*p1^2+1536*(-21948845400+1061237466*n-19215684*n^2+171252*n^3-\
594*n^4)*p3^3+166053888*p10*p1^3+43174010880*p10*p3+31021056000*p9*p4-912384*p3
^2*p1^5+31104*p3*p2*p1^6+90948096*p7*p2^3-1592524800*p7*p3^2-1950842880*p6^2*p1
-2280960*p9*p1^4-2908224000*p9*p2^2-186624*p5*p1^6
[4, 3, 3, 2, 2, 2, 2, 2, 2]
105431040*p3^3*p2^2+88473600*p3^4*p1-69120*p4*p2^2*p1^5+2304*p3*p2^2*p1^6-\
42024960*p3^3*p2*p1^2-23224320*p3^2*p2^3*p1+1105920*p3^3*p1^4+13824*p3*p1^8-\
933120*p3*p2^5-110592*p3^2*p2*p1^5+207360*(452648196-11348436*n+55836*n^2)*p8*
p2*p1+1105920/7*(492658236-11069142*n+58086*n^2)*p7*p3*p1+829440/7*(-74850888+
1818348*n-8988*n^2)*p7*p2*p1^2+51840*(-75866900+1569800*n-8000*n^2)*p4^2*p2*p1+
46080*(11683224-275016*n+1344*n^2)*p6*p2*p1^3+82944*(460778640-9033955*n+45995*
n^2)*p5*p4*p2+82944*(-81283720+1693690*n-8950*n^2)*p5*p4*p1^2+36864*(12422394-\
566835/2*n+3075/2*n^2)*p5*p3*p1^3+41472*(11704972-257631*n+1155*n^2)*p5*p2^2*p1
^2+13824*(-1690920+38560*n-180*n^2)*p5*p2*p1^4-103680*p3*p2^3*p1^4+17280*(
11093970-230760*n+900*n^2)*p4*p2^3*p1+17280*(-1786830+39140*n-160*n^2)*p4*p2^2*
p1^3+3456*(222390-4880*n+20*n^2)*p4*p2*p1^5+23040*(11795778-257660*n+1236*n^2)*
p3^2*p2^2*p1+15360*(-1952838+45624*n-240*n^2)*p3^2*p2*p1^3+11520*(-1801632+
38475*n-135*n^2)*p3*p2^3*p1^2+5760*(268632-6080*n+24*n^2)*p3*p2^2*p1^4+768*(-\
28728+663*n-3*n^2)*p3*p2*p1^6+138240*(512149260-10281600*n+53760*n^2)*p6*p4*p1+
92160*(456431976-9563862*n+48846*n^2)*p6*p3*p2+92160*(-80384304+1818600*n-9744*
n^2)*p6*p3*p1^2+69120*(-72896376+1616496*n-7560*n^2)*p6*p2^2*p1+5356800*p4*p3*
p2*p1^4-112838400*p4*p3*p2^2*p1^2+1042329600*p4*p3^2*p2*p1-125798400*p5*p3*p2*
p1^3+1122149376*p5*p3*p2^2*p1+1689984000*p5*p4*p2*p1^2-14935726080*p5*p4*p3*p1+
2086318080*p6*p3*p2*p1^2-17650483200*p6*p4*p2*p1-22036561920*p7*p3*p2*p1+276480
*(-197097045052+117302496853/6*n-17359693403/24*n^2+645168497/48*n^3-6591485/48
*n^4+33095/48*n^5-15/16*n^6)*p3*p2*p1^2+276480*(35689010280-2098108922*n+
39664611*n^2-307930*n^3+777*n^4)*p6*p2*p1+221184*(40542608463-8956187899/4*n+
314449085/8*n^2-1240735/4*n^3+6903/8*n^4)*p5*p3*p1+165888*(-6198444830+
4124049617/12*n-51393113/8*n^2+603403/12*n^3-975/8*n^4)*p5*p2*p1^2+138240*(
41270663952-8132482825/4*n+276838695/8*n^2-1068755/4*n^3+5585/8*n^4)*p4*p3*p2+
138240*(-6756923840+4304123125/12*n-51949585/8*n^2+633335/12*n^3-1175/8*n^4)*p4
*p3*p1^2+69120*(1018475970-53940425*n+2009985/2*n^2-7885*n^3+35/2*n^4)*p4*p2*p1
^3+92160*(-6721732482+335952252*n-12050749/2*n^2+48187*n^3-249/2*n^4)*p3^2*p2*
p1+69120*(1041340682-634946893/12*n+7733841/8*n^2-88547/12*n^3+111/8*n^4)*p3*p2
^2*p1^2+23040*(-158395146+32898229/4*n-1247515/8*n^2+4995/4*n^3-21/8*n^4)*p3*p2
*p1^4+4239360*p3^2*p2^2*p1^3+414720*(1074821119044-1399700868973/12*n+
107698439471/24*n^2-328795335/4*n^3+19579675/24*n^4-24295/6*n^5+25/4*n^6)*p4*p2
*p1+46080*(-78468030+1682360*n-9360*n^2)*p4*p3^2*p1+34560*(-69622800+1444145*n-\
6985*n^2)*p4*p3*p2^2+11520*(-1800360+41465*n-225*n^2)*p4*p3*p1^4+138240*(-\
2890724760+64585422*n-330462*n^2)*p8*p3+69120*(-72124668+1938420*n-9900*n^2)*p8
*p1^3+829440/7*(-3085024320+59795400*n-306600*n^2)*p7*p4+414720/7*(433775664-\
9713130*n+46074*n^2)*p7*p2^2+933120*p3*p2^4*p1^2+414720*(10721260726932-\
123059359057069/60*n+1293221126581/9*n^2-239364156433/48*n^3+14273859043/144*n^
4-97437203/80*n^5+1280461/144*n^6-241/8*n^7)*p2^2*p1+10240*(-72193140+1542420*n
-8244*n^2)*p3^3*p2+10240*(13022748-299376*n+1728*n^2)*p3^3*p1^2+1536*(253890-\
6156*n+36*n^2)*p3^2*p1^5+864*(-1556280+28080*n)*p2^5*p1+1440*(250488-4752*n)*p2
^4*p1^3+576*(-32772+648*n)*p2^3*p1^5+576/7*(2772-56*n)*p2^2*p1^7+414720*(-\
165228300468+12062796042*n-271029000*n^2+2170740*n^3-5742*n^4)*p8*p1+1658880/7*
(31146826536-4145362529/2*n+176758911/4*n^2-714427/2*n^3+3801/4*n^4)*p7*p1^2+
184320*(-231861391272+27040602687/2*n-927441417/4*n^2+3553557/2*n^3-19551/4*n^4
)*p6*p3+92160*(-5579835912+340429824*n-6896127*n^2+55986*n^3-147*n^4)*p6*p1^3+
4608/5*(162540-3195*n+15*n^2)*p5*p1^6+34560*(462827400-9145150*n+49550*n^2)*p4^
2*p3+17280*(12265500-265600*n+1400*n^2)*p4^2*p1^3+4608*(-1459920+32928*n-168*n^
2)*p6*p1^5+331776/5*(520678830-10061765*n+52605*n^2)*p5^2*p1+36864*(466533900-\
9472866*n+51426*n^2)*p5*p3^2+110592*(-3207322440+57795738*n-296898*n^2)*p6*p5+
331776*(-2598736140+79349270*n-390390*n^2)*p10*p1+308860231680*p10*p2*p1+
230103244800*p9*p3*p1-27280281600*p9*p2*p1^2+176956876800*p8*p4*p1+112579061760
*p8*p3*p2-21212928000*p8*p3*p1^2-13836303360*p8*p2^2*p1+1505433600*p8*p2*p1^3+
11520*(-157898664+7971657*n-142611*n^2+942*n^3)*p2^3*p1^3+1536*(20912958-\
4175379/4*n+156045/8*n^2-645/4*n^3+3/8*n^4)*p3*p1^6+30720*(1072194642-56234100*
n+2129847/2*n^2-9009*n^3+51/2*n^4)*p3^2*p1^3+27648*(938266578-210990561/4*n+
8166515/8*n^2-33035/4*n^3+165/8*n^4)*p5*p1^4+1227571200*p7*p3*p1^3+1236695040*
p7*p2^2*p1^2+80277184512*p6*p5*p2-14608097280*p6*p5*p1^2+70485811200*p6*p4*p3-\
8887173120*p6*p3^2*p1-5544806400*p6*p3*p2^2+418037760*p6*p2^3*p1+1548288*p6*p2*
p1^5-8270180352*p5^2*p2*p1-4660001280*p5*p4*p2^2-4690649088*p5*p3^2*p2+
899112960*p5*p3^2*p1^2+2695680*p5*p2^2*p1^4-11520*p4*p3*p1^6-59904000*p4*p3^2*
p1^3-37324800*p5*p2^3*p1^2+1244160*p5*p3*p1^5-34214400*p5*p4*p1^4-69672960*p6*
p2^2*p1^3-27648*p5*p2*p1^6-4214592000*p4^2*p3*p2+789696000*p4^2*p3*p1^2+
492480000*p4^2*p2^2*p1+103680*(-6430995506+981101110/3*n-11612365/2*n^2+131255/
3*n^3-185/2*n^4)*p4*p2^2*p1+138240/7*(10858176-269178*n+1386*n^2)*p7*p1^4+
184320*(-2619456840+67612545*n-328185*n^2)*p9*p2+184320*(444323880-12805650*n+
64350*n^2)*p9*p1^2+165888*(-251496011340+56695543345/4*n-1801477915/8*n^2+
6733335/4*n^3-37045/8*n^4)*p5*p4+13824*(-67366512+1389528*n-5940*n^2)*p5*p2^3+
1152/7*(-11970+140*n)*p4*p1^7+2880*(10253016-204984*n+648*n^2)*p3*p2^4+1658880/
7*(-196356008520+24650440479/2*n-947174361/4*n^2+3631173/2*n^3-18543/4*n^4)*p7*
p2+184320*(1169740584318-248574389633/2*n+18582261883/4*n^2-332499807/4*n^3+
835723*n^4-17607/4*n^5+33/4*n^6)*p3^2*p1+138240*(1229735275104-120510161196*n+
101234914061/24*n^2-3548747417/48*n^3+34487597/48*n^4-164791/48*n^5+67/16*n^6)*
p3*p2^2+829440*(-34718991962256+101200828908413/12*n-26414941176205/36*n^2+
483661165675/16*n^3-11929028849/18*n^4+133267119/16*n^5-8918935/144*n^6+5855/24
*n^7-5/16*n^8)*p4*p1+552960*(9078782291964-3668783716039/2*n+6595528357021/48*n
^2-81715340615/16*n^3+6855887031/64*n^4-65421275/48*n^5+1004815/96*n^6-251/6*n^
7+3/64*n^8)*p3*p1^2+82944*(38103768486-7929148093/4*n+277305367/8*n^2-1035783/4
*n^3+4785/8*n^4)*p5*p2^2+103680*(42218928780-6825503000/3*n+38369825*n^2-895150
/3*n^3+825*n^4)*p4^2*p1+552960*(-3986049202380+1087825386235/2*n-103270590437/4
*n^2+1097695305/2*n^3-22663753/4*n^4+28630*n^5-105/2*n^6)*p6*p1+8640*(989977584
-48339216*n+833616*n^2-5328*n^3)*p2^4*p1+2304/7*(-2578380+119441*n-2051*n^2+14*
n^3)*p2*p1^7+20480*(42950757276-2053318203*n+70489935/2*n^2-282699*n^3+1629/2*n
^4)*p3^3+23040*(-6255323046+1205380545/4*n-41785887/8*n^2+151503/4*n^3-513/8*n^
4)*p3*p2^3+6912*(-145860590+22854790/3*n-284185/2*n^2+3395/3*n^3-5/2*n^4)*p4*p1
^5+46080*(31143470232-3050763717*n+919800211/8*n^2-35450027/16*n^3+376071/16*n^
4-1973/16*n^5+3/16*n^6)*p3*p1^4+69120*(32675959434-12272853661/4*n+2682238025/
24*n^2-6270680/3*n^3+502543/24*n^4-1093/12*n^5)*p2^2*p1^3+69120*(-204590867490+
76484554043/4*n-5396417721/8*n^2+24257759/2*n^3-938679/8*n^4+1983/4*n^5)*p2^3*
p1+13824*(-5060248750+5593672013/12*n-407658863/24*n^2+1928059/6*n^3-78385/24*n
^4+173/12*n^5)*p2*p1^5+138240*(-172221097332+73638977625/4*n-17539737005/24*n^2
+170714315/12*n^3-3557485/24*n^4+4595/6*n^5-5/4*n^6)*p4*p1^3+331776*(-\
5330946363120+655252191384*n-647854202413/24*n^2+23827822957/48*n^3-231574165/
48*n^4+1134707/48*n^5-635/16*n^6)*p5*p2+331776*(866402968200-621060005891/6*n+
106746635479/24*n^2-4306482997/48*n^3+44593741/48*n^4-228739/48*n^5+135/16*n^6)
*p5*p1^2+276480*(-6198333160320+742100536813*n-696948872957/24*n^2+23864848685/
48*n^3-228302825/48*n^4+1161955/48*n^5-735/16*n^6)*p4*p3+3317760/7*(
16697977536240-2679573026718*n+575860404721/4*n^2-26089250089/8*n^3+268707397/8
*n^4-1330343/8*n^5+2457/8*n^6)*p7+276480*(-1942455702348+1365448580783/4*n-\
46204607811/2*n^2+38938664809/48*n^3-268748179/16*n^4+10347457/48*n^5-26149/16*
n^6+137/24*n^7)*p2*p1^3+64/7*(149688-3024*n)*p1^9+88982323200*p7*p4*p2+3456*(
22440716-3390076/3*n+20484*n^2-416/3*n^3)*p2^2*p1^5+154638139392*p7*p5*p1+
552960*(-46931908727844+107845727416823/10*n-41285736500975/48*n^2+
1513704918361/48*n^3-118389182795/192*n^4+1766034893/240*n^5-5146825/96*n^6+
4883/24*n^7-13/64*n^8)*p3*p2+663552*(109345517140860-66169466217687/2*n+
167999365894163/48*n^2-8052363107351/48*n^3+766593594011/192*n^4-2419044485/48*
n^5+35032081/96*n^6-16919/12*n^7+125/64*n^8)*p5+4608/7*(740185950-259393169/4*n
+18108783/8*n^2-41209*n^3+3241/8*n^4-7/4*n^5)*p1^7+3317760/11*(14665931280-\
467831364*n+2246244*n^2)*p11+1105920*(181086697635480-109395922544139*n+
342471150735763/15*n^2-1045653860957641/480*n^3+3391751646863/32*n^4-\
358617955809/128*n^5+27669157997/640*n^6-136532681/320*n^7+510583/192*n^8-3403/
384*n^9+1/128*n^10)*p3+27648*(342733710060-224834000939/4*n+10996173403/3*n^2-\
2042812307/16*n^3+42819603/16*n^4-1681205/48*n^5+12983/48*n^6-23/24*n^7)*p1^5-\
16323379200*p7*p4*p1^2+69120*(12304980-272480*n+1400*n^2)*p4*p3*p2*p1^2-\
1195587993600*p10*p3+368640*(839624565780-271744367895/4*n+12822786405/8*n^2-\
50675625/4*n^3+263835/8*n^4)*p9+110592*(-76338888+3278261/2*n-16881/2*n^2)*p5*
p3*p2*p1+3317760*(30798455688000-962000668295547/20*n+16607232399986969/720*n^2
-152458311130069/32*n^3+94876818722263/192*n^4-162343474049881/5760*n^5+
5453526456623/5760*n^6-2882456989/144*n^7+81333209/288*n^8-15517933/5760*n^9+
18631/1152*n^10-3/64*n^11)*p1+552960*(22981326733260-83402337615443/10*n+
17976312995323/16*n^2-1828275599647/24*n^3+571596271619/192*n^4-34985234101/480
*n^5+113023327/96*n^6-605653/48*n^7+15995/192*n^8-25/96*n^9)*p1^3+1658880*(-\
80881971903180+550719429372119/15*n-4230969983259017/720*n^2+160621118179741/
360*n^3-10556918822243/576*n^4+641974414891/1440*n^5-9952426631/1440*n^6+
50769593/720*n^7-256531/576*n^8+43/32*n^9)*p2*p1+307954483200*p11*p1^2-\
782880215040*p8*p5+928972800*p6*p4*p1^3-913296384000*p9*p4-16605388800*p10*p1^3
+30002918400*p5*p4^2+429649920*p5^2*p1^3+198547200*p4*p3*p2^3+593049600*p9*p1^4
+74131200000*p9*p2^2-51840000*p4^2*p2*p1^3-2229120000*p4^3*p1+74132029440*p6^2*
p1+33164328960*p5^2*p3-2232023040*p7*p2^3+43157422080*p7*p3^2+165888*p7*p1^6-\
1384243200*p4*p3^3+345600*p4^2*p1^5-57231360*p7*p2*p1^4-729057853440*p7*p6-\
48384000*p6*p3*p1^4-1662954209280*p11*p2-13685760*p8*p1^5+50388480*p5*p2^4-\
3510681108480*p12*p1-9331200*p4*p2^4*p1+2073600*p4*p2^3*p1^3+18903667507200*p13
[4, 3, 2, 2, 2, 2, 2, 2, 2, 2]
28672*(89976-4311/2*n+15/2*n^2)*p3*p2*p1^6+1720320*(70114080-1475590*n+7510*n^2
)*p4*p3^2*p1+1290240*(55995850-2288865/2*n+10185/2*n^2)*p4*p3*p2^2+430080*(
3073110-146525/2*n+725/2*n^2)*p4*p3*p1^4+1548288*(-13122876+585603/2*n-2475/2*n
^2)*p5*p2^2*p1^2+516096*(2931658-141207/2*n+615/2*n^2)*p5*p2*p1^4+1935360*(
70481150-1465200*n+7100*n^2)*p4^2*p2*p1+3096576*(88625660-3771985/2*n+19145/2*n
^2)*p5*p4*p1^2+1376256*(-16476720+382170*n-1914*n^2)*p5*p3*p1^3+1720320*(-\
15684816+384804*n-1764*n^2)*p6*p2*p1^3+3096576*(-364570570+14313825/2*n-69825/2
*n^2)*p5*p4*p2+860160*(-10841728+229962*n-954*n^2)*p3^2*p2^2*p1+573440*(2532048
-57906*n+258*n^2)*p3^2*p2*p1^3+430080*(1990908-83403/2*n+243/2*n^2)*p3*p2^3*p1^
2+215040*(-441370+19815/2*n-63/2*n^2)*p3*p2^2*p1^4+129024*(-526270+12550*n-50*n
^2)*p4*p2*p1^5+8257536*(-33064295880+5644276885/3*n-32964404*n^2+758498/3*n^3-\
657*n^4)*p5*p3*p1+6193152*(5860310068-342116538*n+26095277/4*n^2-100523/2*n^3+
465/4*n^4)*p5*p2*p1^2+5160960*(-30691410568+9162713875/6*n-25760870*n^2+577180/
3*n^3-925/2*n^4)*p4*p3*p2+5160960*(6365896676-353371330*n+25633435/4*n^2-100875
/2*n^3+515/4*n^4)*p4*p3*p1^2+645120*(-10647090+221670*n-810*n^2)*p4*p2^3*p1+
645120*(2447320-54690*n+210*n^2)*p4*p2^2*p1^3+6919815168*p5*p3*p2*p1^3+1290240*
(-356660150+13943675/2*n-71075/2*n^2)*p4^2*p3+645120*(-16673000+375100*n-1900*n
^2)*p4^2*p1^3+172032*(3373860-90300*n+420*n^2)*p6*p1^5-39982989312*p5*p3*p2^2*
p1-79334277120*p5*p4*p2*p1^2+528317153280*p5*p4*p3*p1+12386304/5*(-470017800+
9193050*n-46410*n^2)*p5^2*p1-90172293120*p6*p3*p2*p1^2+658951372800*p6*p4*p2*p1
+781965066240*p7*p3*p2*p1+3440640*(86021544-1957431*n+9807*n^2)*p6*p3*p1^2+
2580480*(68348028-1530396*n+6804*n^2)*p6*p2^2*p1+7741440*(-408885642+10480536*n
-49500*n^2)*p8*p2*p1+1376256*(-357163800+7130226*n-36066*n^2)*p5*p3^2+5898240*(
-438545472+9845796*n-48900*n^2)*p7*p3*p1+4423680*(81148872-2035083*n+9555*n^2)*
p7*p2*p1^2+516096*(55590246-2294163/2*n+9315/2*n^2)*p5*p2^3+5160960*(-461207460
+9350040*n-47040*n^2)*p6*p4*p1+3440640*(-357929292+7438851*n-35847*n^2)*p6*p3*
p2+15482880*(-797944966218+90052564569*n-21442376285/6*n^2+794889475/12*n^3-\
7840015/12*n^4+37985/12*n^5-55/12*n^6)*p4*p2*p1+10321920*(162641789212-\
102225378913/6*n+15757505389/24*n^2-593961173/48*n^3+6007717/48*n^4-28931/48*n^
5+11/16*n^6)*p3*p2*p1^2+3440640*(5693058816-865804562/3*n+5104653*n^2-116506/3*
n^3+87*n^4)*p3^2*p2*p1+2580480*(-1029173020+53779088*n-3915797/4*n^2+14305/2*n^
3-45/4*n^4)*p3*p2^2*p1^2+860160*(211809456-70680739/6*n+454041/2*n^2-5209/3*n^3
+3*n^4)*p3*p2*p1^4+3870720*(5509705688-574966625/2*n+10238725/2*n^2-37745*n^3+
75*n^4)*p4*p2^2*p1+2580480*(-1135846228+385235215/6*n-2452855/2*n^2+28435/3*n^3
-20*n^4)*p4*p2*p1^3+10321920*(-29231869968+1780364243*n-34129095*n^2+260638*n^3
-630*n^4)*p6*p2*p1+147776348160*p5*p4*p2^2+3341721600*p5*p4*p1^4+136480555008*
p5*p3^2*p2-37208457216*p5*p3^2*p1^2+4128768*(2448271980-44374995*n+220815*n^2)*
p6*p5+5160960*(2191740210-97381449/2*n+476289/2*n^2)*p8*p3+2580480*(91749240-\
2694780*n+13068*n^2)*p8*p1^3+2211840*(-347075292+7822323*n-35595*n^2)*p7*p2^2+
12386304*(2244513700-70813600*n+337480*n^2)*p10*p1+6881280*(2019573270-\
105514695/2*n+495495/2*n^2)*p9*p2+6881280*(-457837380+27985815/2*n-135135/2*n^2
)*p9*p1^2+6881280*(-866474738376+286640195468/3*n-21985930717/6*n^2+262322385/4
*n^3-7752631/12*n^4+38797/12*n^5-21/4*n^6)*p3^2*p1+1720320*(-31012250742+
9993758798/3*n-3263692675/24*n^2+44013663/16*n^3-1410049/48*n^4+7123/48*n^5-3/
16*n^6)*p3*p1^4+30965760*(22834152289520-11426280803803/2*n+12327651846293/24*n
^2-349614053773/16*n^3+23516103083/48*n^4-98813021/16*n^5+2180825/48*n^6-1395/8
*n^7+5/24*n^8)*p4*p1+20643840*(30239673302850-424553992648397/60*n+
82632499391567/144*n^2-85216159193/4*n^3+240972961931/576*n^4-396944779/80*n^5+
10219213/288*n^6-6203/48*n^7+7/64*n^8)*p3*p2+20643840*(-6337878359160+
6705548230487/5*n-633442703227/6*n^2+65752643109/16*n^3-2846709471/32*n^4+
273877079/240*n^5-25996/3*n^6+799/24*n^7-1/32*n^8)*p3*p1^2+15482880*(-\
7300178964080+14464750473777/10*n-2520514182655/24*n^2+180191538289/48*n^3-\
3639758903/48*n^4+224452597/240*n^5-325667/48*n^6+181/8*n^7)*p2^2*p1+258048*(
227627960-27280725/2*n+557405/2*n^2-2245*n^3+5*n^4)*p4*p1^5+1146880*(-\
1184176512+65385524*n-1236072*n^2+9916*n^3-24*n^4)*p3^2*p1^3+322560*(-884860200
+88003755/2*n-1517589/2*n^2+4761*n^3)*p2^4*p1+430080*(185272716-19492083/2*n+
352521/2*n^2-1143*n^3)*p2^3*p1^3+129024*(-37495528+4113871/2*n-77305/2*n^2+257*
n^3)*p2^2*p1^5+20643840*(2834211066060-401296257390*n+19735918272*n^2-858840647
/2*n^3+8837857/2*n^4-43771/2*n^5+77/2*n^6)*p6*p1+12386304*(3627294767250-\
1363160905073/3*n+151996106441/8*n^2-16863459793/48*n^3+54172911/16*n^4-259541/
16*n^5+415/16*n^6)*p5*p2+12386304*(-675321610260+512307061469/6*n-92929153589/
24*n^2+3890283877/48*n^3-40414733/48*n^4+203587/48*n^5-115/16*n^6)*p5*p1^2+
6193152*(180955041960-62029601375/6*n+164028390*n^2-3610085/3*n^3+6335/2*n^4)*
p5*p4+3096576*(-28583647568+3025435851/2*n-26495295*n^2+194157*n^3-855/2*n^4)*
p5*p2^2+1032192*(-1171981248+441596687/6*n-3073561/2*n^2+37232/3*n^3-30*n^4)*p5
*p1^4+3870720*(-34516002920+3844285475/2*n-64954225/2*n^2+247525*n^3-650*n^4)*
p4^2*p1+3072*(-12436+264*n)*p2^2*p1^7+512/3*(1638-36*n)*p2*p1^9+15482880*(
128989136760-19588429025/2*n+451497651/2*n^2-1783727*n^3+4554*n^4)*p8*p1+
8847360*(142031318352-9073059731*n+175532100*n^2-1323904*n^3+3255*n^4)*p7*p2+
8847360*(-27698405592+1961182716*n-87360177/2*n^2+349113*n^3-1785/2*n^4)*p7*p1^
2+6144*(102060-2530*n+10*n^2)*p4*p1^7+1146880/3*(-13614840+303498*n-1530*n^2)*
p3^3*p1^2+57344*(-556800+13746*n-66*n^2)*p3^2*p1^5+107520*(-8488854+332019/2*n-\
891/2*n^2)*p3*p2^4+4799692800*p4*p3*p2^2*p1^2-402124800*p4*p3*p2*p1^4+1024*(-\
15870+795/2*n-3/2*n^2)*p3*p1^8+32256*(1523070-27540*n)*p2^5*p1+53760*(-338472+
6480*n)*p2^4*p1^3+21504*(69426-1404*n)*p2^3*p1^5+172032/5*(-605400+30975/2*n-\
135/2*n^2)*p5*p1^6-35232153600*p4*p3^2*p2*p1+9633792*p3^2*p2*p1^5+3072*p3*p2*p1
^8-34836480*p3*p2^4*p1^2+5806080*p3*p2^3*p1^4-258048*p3*p2^2*p1^6-55738368000*
p7*p2^2*p1^2+4490035200*p7*p2*p1^4-2503841808384*p6*p5*p2+680453996544*p6*p5*p1
^2-2081621606400*p6*p4*p3-57802752000*p6*p4*p1^3+302115717120*p6*p3^2*p1+
168422768640*p6*p3*p2^2+3781263360*p6*p3*p1^4-15606743040*p6*p2^3*p1+3901685760
*p6*p2^2*p1^3-173408256*p6*p2*p1^5+312134860800*p5^2*p2*p1+126153216000*p4^2*p3
*p2-34449408000*p4^2*p3*p1^2-18579456000*p4^2*p2^2*p1+3225600000*p4^2*p2*p1^3+
3130982400*p4*p3^2*p1^3-5980262400*p4*p3*p2^3+6021120*p4*p3*p1^6+348364800*p4*
p2^4*p1-116121600*p4*p2^3*p1^3+7741440*p4*p2^2*p1^5-122880*p4*p2*p1^7+
1582694400*p3^3*p2*p1^2+743178240*p3^2*p2^3*p1-196116480*p3^2*p2^2*p1^3+5160960
*(150232080360-103924460275/6*n+8846790479/12*n^2-60142365/4*n^3+948995/6*n^4-\
9655/12*n^5+5/4*n^6)*p4*p1^3+57344*(-42173820+2448115*n-197871/4*n^2+787/2*n^3-\
3/4*n^4)*p3*p1^6+860160*(4845654768-470709495/2*n+4035627*n^2-28116*n^3+81/2*n^
4)*p3*p2^3+24576*(-1132429620+704771899/6*n-57778577/12*n^2+100029*n^3-12907/12
*n^4+29/6*n^5)*p1^7+10321920*(1467972039456-8237331066871/30*n+1426942194241/72
*n^2-11800319847/16*n^3+2292842645/144*n^4-16714199/80*n^5+229745/144*n^6-133/
24*n^7)*p2*p1^3-11335945420800*p10*p2*p1-8029628006400*p9*p3*p1+61931520*(
50125865183190-1394756886702787/60*n+2747914852470997/720*n^2-42944227916207/
144*n^3+807230850539/64*n^4-150702215039/480*n^5+786985279/160*n^6-1204951/24*n
^7+181219/576*n^8-269/288*n^9)*p2*p1-6396906700800*p8*p4*p1+1239869030400*p9*p2
*p1^2+1024/3*(-1331208+147699/2*n-2781/2*n^2+9*n^3)*p1^9+41287680*(-\
109874276341830+268743326287471/4*n-426469698415501/30*n^2+3959495444225311/
2880*n^3-38957446329785/576*n^4+4141489131509/2304*n^5-318512286781/11520*n^6+
1554545513/5760*n^7-1897117/1152*n^8+4039/768*n^9-1/256*n^10)*p3+24772608*(-\
69029599528890+84820138669871/4*n-327866253530683/144*n^2+441815445615/4*n^3-\
1522292162887/576*n^4+1592199071/48*n^5-68194373/288*n^6+42817/48*n^7-75/64*n^8
)*p5+913551851520*p8*p3*p1^2+1032192*(-294720727680+105700403133/2*n-\
90816812003/24*n^2+2304854295/16*n^3-156053771/48*n^4+2154781/48*n^5-5741/16*n^
6+31/24*n^7)*p1^5-3371660328960*p8*p3*p2+20643840*(-14890047133320+
5623040675166*n-19071143752237/24*n^2+20469132141743/360*n^3-675989492779/288*n
^4+8683494089/144*n^5-145230791/144*n^6+496519/45*n^7-21163/288*n^8+11/48*n^9)*
p1^3-87880826880*p8*p2*p1^3+515022520320*p8*p2^2*p1+13762560*(-587684817720+
96556718115/2*n-1146768480*n^2+8925345*n^3-45045/2*n^4)*p9-2750157619200*p7*p4*
p2-5654949396480*p7*p5*p1+123863040*(-18149089959000+1200452331281929/42*n-\
666314542280183/48*n^2+2797762044625333/960*n^3-13869845344294/45*n^4+
207057780877673/11520*n^5-1423003402399/2304*n^6+66988894093/5040*n^7-\
1087707313/5760*n^8+20703757/11520*n^9-24599/2304*n^10+35/1152*n^11)*p1-\
68372398080*p7*p3*p1^3+746894131200*p7*p4*p1^2+27232837632000*p9*p4+2293760/3*(
-31572793224+1508579670*n-25386309*n^2+193614*n^3-495*n^4)*p3^3-2324754432000*
p9*p2^2-51661209600*p9*p1^4+23516296151040*p8*p5+991895224320*p10*p1^3+
34893456998400*p10*p3-13796360847360*p11*p1^2+50750898831360*p11*p2+
124824217190400*p12*p1+71066419200*p7*p2^3-61931520*p7*p1^6+21957944279040*p7*
p6-1241178439680*p7*p3^2+1376256*p6*p1^7+2043740160*p8*p1^5-27398504448*p5^2*p1
^3-984958894080*p5^2*p3-2719041454080*p6^2*p1-907412889600*p5*p4^2-1619896320*
p5*p2^4-18432*p5*p1^8-77414400*p4^2*p1^5+81285120000*p4^3*p1+38535168000*p4*p3^
3-2752512000*p3^4*p1-2890137600*p3^3*p2^2+26127360*p3*p2^5-98304*p3^2*p1^7-\
68812800*p3^3*p1^4-554507580211200*p13+2580480*(-13452220+593225/2*n-2785/2*n^2
)*p4*p3*p2*p1^2+4128768*(70077556-1495218*n+7170*n^2)*p5*p3*p2*p1+1146880/3*(
56033640-1157634*n+5490*n^2)*p3^3*p2+3440640*(5792579352-384967555*n+8284521*n^
2-66710*n^3+168*n^4)*p6*p1^3+6881280*(166673053008-9833293099*n+167732481*n^2-\
1252097*n^3+3255*n^4)*p6*p3+12288*(7278348-2446093/6*n+15621/2*n^2-157/3*n^3)*
p2*p1^7+10321920*(4207898598750-1537347263789/3*n+486396655177/24*n^2-\
5536211585/16*n^3+156291895/48*n^4-766765/48*n^5+445/16*n^6)*p4*p3+5160960*(-\
863179015994+258898841915/3*n-24473202553/8*n^2+2571341641/48*n^3-8196055/16*n^
4+37597/16*n^5-39/16*n^6)*p3*p2^2+2580480*(159287643150-15448079847*n+558528540
*n^2-10128570*n^3+97506*n^4-405*n^5)*p2^3*p1+2580480*(-30557390792+18456545389/
6*n-472637897/4*n^2+6814867/3*n^3-91603/4*n^4+197/2*n^5)*p2^2*p1^3+516096*(
5885156290-1815337118/3*n+145369957/6*n^2-1465838/3*n^3+30731/6*n^4-68/3*n^5)*
p2*p1^5+5160960*p5*p2*p1^6-197406720*p5*p2^2*p1^4+17694720*(-11062942630740+
1804626708522*n-393044557361/4*n^2+17905201411/8*n^3-182686151/8*n^4+885821/8*n
^5-1575/8*n^6)*p7+1672151040*p5*p2^3*p1^2-165150720*p5*p3*p1^5+123863040/11*(-\
10883052180+350829765*n-1640925*n^2)*p11+737280*(-17914596+502887*n-2415*n^2)*
p7*p1^4+4423680*(2352074340-45725025*n+226425*n^2)*p7*p4
[4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
77414400*(3502845-73440*n+270*n^2)*p4*p2^3*p1+77414400*(-1003755+22860*n-90*n^2
)*p4*p2^2*p1^3+15482880*(284125-7080*n+30*n^2)*p4*p2*p1^5+103219200*(3422220-\
70902*n+270*n^2)*p3^2*p2^2*p1+51609600*(-752706+31077/2*n-81/2*n^2)*p3*p2^3*p1^
2+1238630400*(7538638926-478399047*n+9541644*n^2-75516*n^3+189*n^4)*p6*p2*p1+
990904320*(8446829202-496654916*n+17801973/2*n^2-69241*n^3+357/2*n^4)*p5*p3*p1+
743178240*(-1674644034+412131003/4*n-16459161/8*n^2+65919/4*n^3-315/8*n^4)*p5*
p2*p1^2+371589120*(96049800-3776085/2*n+18585/2*n^2)*p5*p4*p2+371589120*(-\
28012950+1198635/2*n-6195/2*n^2)*p5*p4*p1^2+165150720*(5997642-140610*n+714*n^2
)*p5*p3*p1^3+232243200*(-20906775+433650*n-2100*n^2)*p4^2*p2*p1+530841600*(-\
26407524+694485*n-3465*n^2)*p7*p2*p1^2+619315200*(128352210-2618700*n+13440*n^2
)*p6*p4*p1+412876800*(94477152-1976877*n+9639*n^2)*p6*p3*p2+412876800*(-\
27206004+627627*n-3213*n^2)*p6*p3*p1^2+309657600*(-20982150+485352*n-2268*n^2)*
p6*p2^2*p1+928972800*(116791389-3111966*n+15444*n^2)*p8*p2*p1+51609600*(-\
1307340+62425/2*n-305/2*n^2)*p4*p3*p1^4+61931520*(-1307796+66591/2*n-315/2*n^2)
*p5*p2*p1^4+185794560*(4622562-212625/2*n+945/2*n^2)*p5*p2^2*p1^2+707788800*(
122200056-2780316*n+14124*n^2)*p7*p3*p1+619315200*(7489977530-1531440095/4*n+
52577545/8*n^2-197255/4*n^3+915/8*n^4)*p4*p3*p2+464486400*(-1505157321+
163893975/2*n-1509495*n^2+11400*n^3-45/2*n^4)*p4*p2^2*p1+412876800*(-1535829132
+80446847*n-2898571/2*n^2+10997*n^3-45/2*n^4)*p3^2*p2*p1+309657600*(314059466-\
68890971/4*n+2596497/8*n^2-9627/4*n^3+27/8*n^4)*p3*p2^2*p1^2+1857945600*(
187878616136-88157459031/4*n+7277645903/8*n^2-69963965/4*n^3+1422895/8*n^4-880*
n^5+5/4*n^6)*p4*p2*p1+1238630400*(-41417610898+27371274955/6*n-1476543511/8*n^2
+174114889/48*n^3-606607/16*n^4+2965/16*n^5-3/16*n^6)*p3*p2*p1^2+206438400*(-\
20109300+416330*n-2050*n^2)*p4*p3^2*p1+154828800*(-15666240+634185/2*n-2745/2*n
^2)*p4*p3*p2^2+3979719475200*p6*p3*p2*p1^2-24970788864000*p6*p4*p2*p1-\
29990427033600*p7*p3*p2*p1+1269596160000*p4*p3^2*p2*p1-212502528000*p4*p3*p2^2*
p1^2+23611392000*p4*p3*p2*p1^4+1591887790080*p5*p3*p2^2*p1+309657600*(4549150-\
199335/2*n+915/2*n^2)*p4*p3*p2*p1^2+495452160*(-20825322+445518*n-2142*n^2)*p5*
p3*p2*p1-353752842240*p5*p3*p2*p1^3+3452991897600*p5*p4*p2*p1^2-18624046694400*
p5*p4*p3*p1+309657600*(363950357-43784845/2*n+439805*n^2-3530*n^3+15/2*n^4)*p4*
p2*p1^3+25804800*(214404-9531/2*n+27/2*n^2)*p3*p2^2*p1^4+206438400*(5915658-\
153216*n+756*n^2)*p6*p2*p1^3+103219200*(-77067954+18381773/4*n-746491/8*n^2+
2933/4*n^3-9/8*n^4)*p3*p2*p1^4+619315200*(-1800236330+1251389515/12*n-15516355/
8*n^2+185195/12*n^3-305/8*n^4)*p4*p3*p1^2+3440640*(-60382+2901/2*n-9/2*n^2)*p3*
p2*p1^6+68812800*(-987340+22074*n-90*n^2)*p3^2*p2*p1^3+7431782400*(-\
10056122279325+190361002723491/40*n-384405831074033/480*n^2+30928325429807/480*
n^3-1081966447783/384*n^4+23250993137/320*n^5-1130543879/960*n^6+2978119/240*n^
7-30767/384*n^8+47/192*n^9)*p2*p1+495452160*(-606646656+11045601*n-56007*n^2)*
p6*p5+20643840*(-1633926+48216*n-252*n^2)*p6*p1^5+297271296*(130821768-2570022*
n+13230*n^2)*p5^2*p1+165150720*(91451220-1810038*n+9030*n^2)*p5*p3^2+61931520*(
-16111872+676431/2*n-2835/2*n^2)*p5*p2^3+4128768*(363678-20769/2*n+105/2*n^2)*
p5*p1^6+154828800*(91055440-3521875/2*n+17675/2*n^2)*p4^2*p3+1486356480*(-\
600782754+19535516*n-97240*n^2)*p10*p1+825753600*(-513541600+27634035/2*n-\
135135/2*n^2)*p9*p2+530841600*(-583044000+11407385*n-57585*n^2)*p7*p4+265420800
*(94130784-2186811*n+10395*n^2)*p7*p2^2+88473600*(7231752-220011*n+1155*n^2)*p7
*p1^4+825753600*(-38849725068+4681064297/2*n-162824571/4*n^2+616651/2*n^3-3213/
4*n^4)*p6*p3+412876800*(-1726770822+122356213*n-2799468*n^2+23744*n^3-63*n^4)*
p6*p1^3+743178240*(-42140011914+9824657535/4*n-317216145/8*n^2+1177355/4*n^3-\
6195/8*n^4)*p5*p4+371589120*(7059379026-1548166509/4*n+55977291/8*n^2-210609/4*
n^3+945/8*n^4)*p5*p2^2+123863040*(393164730-106748765/4*n+4794291/8*n^2-20545/4
*n^3+105/8*n^4)*p5*p1^4+464486400*(8814322195-1013843395/2*n+17478375/2*n^2-\
67375*n^3+175*n^4)*p4^2*p1+3870720*(-563679+10206*n)*p2^5*p1+6451200*(159921-\
3078*n)*p2^4*p1^3+2580480*(-44847+918*n)*p2^3*p1^5+368640*(12417-270*n)*p2^2*p1
^7+20480*(-3391+78*n)*p2*p1^9+737280*(-79275+2180*n-10*n^2)*p4*p1^7+45875200*(-\
15163900+305070*n-1350*n^2)*p3^3*p2+45875200*(4423900-95890*n+450*n^2)*p3^3*p1^
2+6881280*(281980-6838*n+30*n^2)*p3^2*p1^5+77414400*(6063625-136850*n+700*n^2)*
p4^2*p1^3+825753600*(138102250-8836685/2*n+45045/2*n^2)*p9*p1^2+619315200*(-\
544692720+24472305/2*n-122265/2*n^2)*p8*p3+309657600*(-31690659+990990*n-5148*n
^2)*p8*p1^3+619315200*(-39356199866+19236576565/4*n-1737787841/8*n^2+56188595/
12*n^3-1236395/24*n^4+1625/6*n^5-5/12*n^6)*p4*p1^3+825753600*(203308769820-\
23242081065*n+2766832768/3*n^2-203498147/12*n^3+2039777/12*n^4-10177/12*n^5+5/4
*n^6)*p3^2*p1+619315200*(196996771240-20322140152*n+5958802991/8*n^2-214998181/
16*n^3+2103417/16*n^4-9723/16*n^5+9/16*n^6)*p3*p2^2+206438400*(8895195708-\
1023764661*n+1074211793/24*n^2-46231823/48*n^3+518363/48*n^4-2689/48*n^5+1/16*n
^6)*p3*p1^4+309657600*(-39491595588+16033351077/4*n-1213337601/8*n^2+2868498*n^
3-229671/8*n^4+495/4*n^5)*p2^3*p1+309657600*(8542728106-3664341991/4*n+
299571479/8*n^2-1524989/2*n^3+64881/8*n^4-147/4*n^5)*p2^2*p1^3+61931520*(-\
1878189664+2516558663/12*n-72983905/8*n^2+597703/3*n^3-18023/8*n^4+43/4*n^5)*p2
*p1^5+3715891200*(-4828230261591+4965865296055/4*n-2764083080159/24*n^2+
243371607559/48*n^3-3765352701/32*n^4+73423757/48*n^5-138535/12*n^6+45*n^7-5/96
*n^8)*p4*p1+2477260800*(-6306991488809+12053793678097/8*n-12002007769463/96*n^2
+457151871581/96*n^3-12312337203/128*n^4+56165177/48*n^5-1638113/192*n^6+999/32
*n^7-3/128*n^8)*p3*p2+2477260800*(1403571415403-2469903143595/8*n+7308522455231
/288*n^2-99230755267/96*n^3+26923586393/1152*n^4-14930735/48*n^5+1400305/576*n^
6-907/96*n^7+1/128*n^8)*p3*p1^2+1857945600*(1592964884125-6529586644763/20*n+
49234297677/2*n^2-14653461525/16*n^3+307861297/16*n^4-19695253/80*n^5+29583/16*
n^6-51/8*n^7)*p2^2*p1+1238630400*(-345100741469+1357440407211/20*n-62088546889/
12*n^2+9779873485/48*n^3-74353679/16*n^4+15400993/240*n^5-24695/48*n^6+15/8*n^7
)*p2*p1^3+137625600*(374688324-65286331/3*n+846345/2*n^2-10217/3*n^3+15/2*n^4)*
p3^2*p1^3+103219200*(-1265330538+254365821/4*n-8936595/8*n^2+31365/4*n^3-81/8*n
^4)*p3*p2^3+6881280*(18798642-14472097/12*n+211977/8*n^2-2657/12*n^3+3/8*n^4)*
p3*p1^6+51609600*(-64935351+7296093/2*n-139671/2*n^2+477*n^3)*p2^3*p1^3+
15482880*(16033391-1927527/2*n+39309/2*n^2-141*n^3)*p2^2*p1^5+1474560*(-3943779
+502309/2*n-10879/2*n^2+41*n^3)*p2*p1^7+2477260800*(-641251291296+187773932549/
2*n-19139066989/4*n^2+215672807/2*n^3-4585805/4*n^4+5845*n^5-21/2*n^6)*p6*p1+
1486356480*(-798909160104+102588555244*n-35270810355/8*n^2+1344810801/16*n^3-\
13320801/16*n^4+65247/16*n^5-105/16*n^6)*p5*p2+1486356480*(163441452834-\
43286687905/2*n+8240807779/8*n^2-361413447/16*n^3+3905223/16*n^4-20321/16*n^5+
35/16*n^6)*p5*p1^2+1238630400*(-923685893240+114983848730*n-37189144205/8*n^2+
3894225605/48*n^3-37223665/48*n^4+183115/48*n^5-305/48*n^6)*p4*p3+1857945600*(-\
31624584849+4977641097/2*n-118745913/2*n^2+486057*n^3-1287*n^4)*p8*p1+
1061683200*(-33416497884+4393681589/2*n-175542411/4*n^2+682869/2*n^3-3465/4*n^4
)*p7*p2+1061683200*(7441318236-1107917635/2*n+51786361/4*n^2-216139/2*n^3+1155/
4*n^4)*p7*p1^2+113580859392000*p8*p3*p2-37860286464000*p8*p3*p1^2+1491311001600
*p5*p3^2*p1^2+11791761408*p5*p3*p1^5-87787929600*p5*p2^3*p1^2+14631321600*p5*p2
^2*p1^4-650280960*p5*p2*p1^6-4104898560000*p4^2*p3*p2+1368299520000*p4^2*p3*p1^
2+731566080000*p4^2*p2^2*p1-162570240000*p4^2*p2*p1^3-141066240000*p4*p3^2*p1^3
+212502528000*p4*p3*p2^3-524697600*p4*p3*p1^6-15676416000*p4*p2^4*p1+6967296000
*p4*p2^3*p1^3-696729600*p4*p2^2*p1^5+22118400*p4*p2*p1^7-61931520000*p3^3*p2*p1
^2-27869184000*p3^2*p2^3*p1+9289728000*p3^2*p2^2*p1^3-619315200*p3^2*p2*p1^5+
1567641600*p3*p2^4*p1^2-348364800*p3*p2^3*p1^4+23224320*p3*p2^2*p1^6-552960*p3*
p2*p1^8-5179487846400*p5*p4*p2^2-191832883200*p5*p4*p1^4-4473933004800*p5*p3^2*
p2-11798697738240*p5^2*p2*p1+30965760*(-87288389+34345565/6*n-126815*n^2+3260/3
*n^3-5/2*n^4)*p4*p1^5+122880*(16792-875/2*n+3/2*n^2)*p3*p1^8+38707200*(
261061515-27240975/2*n+489429/2*n^2-1593*n^3)*p2^4*p1+12902400*(2615760-100683/
2*n+243/2*n^2)*p3*p2^4+3332269670400*p7*p3*p1^3+2759049216000*p7*p2^2*p1^2-\
306561024000*p7*p2*p1^4+83246367375360*p6*p5*p2-27748789125120*p6*p5*p1^2+
65504968704000*p6*p4*p3+2774532096000*p6*p4*p1^3-21520583884800*p8*p2^2*p1+
4782351974400*p8*p2*p1^3+200123036467200*p7*p5*p1+91705540608000*p7*p4*p2-\
30568513536000*p7*p4*p1^2+433599912345600*p10*p2*p1+288121946112000*p9*p3*p1-\
55794106368000*p9*p2*p1^2+227161718784000*p8*p4*p1-10751311872000*p6*p3^2*p1-\
5969579212800*p6*p3*p2^2-221095526400*p6*p3*p1^4+702303436800*p6*p2^3*p1-\
234101145600*p6*p2^2*p1^3+15606743040*p6*p2*p1^5+14863564800*(3478575575475-\
662704054732123/120*n+3910822778784397/1440*n^2-5007741337513783/8640*n^3+
40039556585893/640*n^4-43085543993161/11520*n^5+304873209727/2304*n^6-423132895
/144*n^7+41288783/960*n^8-14537303/34560*n^9+29519/11520*n^10-43/5760*n^11)*p1+
4954521600*(21642328555848-26799806900161/2*n+2072547678411419/720*n^2-\
163116860939027/576*n^3+1362703743535/96*n^4-887309190241/2304*n^5+23264097259/
3840*n^6-69535817/1152*n^7+430771/1152*n^8-2753/2304*n^9+1/1280*n^10)*p3+
2949120*(419540814-193206495/4*n+52934597/24*n^2-306517/6*n^3+14707/24*n^4-37/
12*n^5)*p1^7+2477260800*(3094428523887-48314367609201/40*n+51141054470921/288*n
^2-19144880002067/1440*n^3+221440891609/384*n^4-44897115893/2880*n^5+52587221/
192*n^6-564941/180*n^7+25171/1152*n^8-41/576*n^9)*p1^3+2972712960*(
14116104675673-176342241440629/40*n+46285713004759/96*n^2-763421657415/32*n^3+
74648425891/128*n^4-599593057/80*n^5+10499593/192*n^6-6699/32*n^7+35/128*n^8)*
p5+123863040*(75564498833-289184873127/20*n+9994355341/9*n^2-2182819415/48*n^3+
158956633/144*n^4-3926671/240*n^5+20191/144*n^6-13/24*n^7)*p1^5+14863564800/11*
(2617623008-85772973*n+415701*n^2)*p11+4096/11*(913-22*n)*p1^11+91750400*(
7610725080-1111272085/3*n+12571647/2*n^2-142235/3*n^3+225/2*n^4)*p3^3+
1651507200*(133007969094-133815722755/12*n+2163341895/8*n^2-25983815/12*n^3+
45045/8*n^4)*p9+40960*(969075-387965/6*n+2949/2*n^2-35/3*n^3)*p1^9+2123366400*(
2370257633744-394245841484*n+262920175309/12*n^2-4080393141/8*n^3+128121763/24*
n^4-212267/8*n^5+385/8*n^6)*p7-2844979200000*p4^3*p1+5419008000*p4^2*p1^5-\
1181286400000*p4*p3^3-204800*p4*p1^9+30938807402496*p5^2*p3+65840947200*p5*p2^4
+7741440*p5*p1^8+1310966415360*p5^2*p1^3+28335992832000*p5*p4^2-940584960*p3*p2
^5+4096*p3*p1^10+9830400*p3^2*p1^7+92897280000*p3^3*p2^2+3440640000*p3^3*p1^4+
91750400000*p3^4*p1+83691159552000*p9*p2^2+3099672576000*p9*p1^4-\
733134557675520*p8*p5-851671941120000*p9*p4-48177768038400*p10*p1^3-\
1100861999677440*p10*p3-1685126932070400*p11*p2+561708977356800*p11*p1^2+
96137537126400*p6^2*p1-4368847601664000*p12*p1-2759049216000*p7*p2^3+6812467200
*p7*p1^6+39395524608000*p7*p3^2-683753707929600*p7*p6-247726080*p6*p1^7-\
159411732480*p8*p1^5+17004899126476800*p13
[3, 3, 3, 3, 3, 3, 2]
-2040733440*p7*p2*p1^2-129907800*p8*p1^3-4056272640*p5*p3*p2*p1-826686000*p5*p4
*p1^2-509483520*p6*p3*p1^2-813564000*p4*p3^2*p1-629856000*p3^3*p2+12759832800*
p9*p1^2+25546959360*p7*p3*p1+12962436480*p5^2*p1+11772008640*p5*p3^2+21870*(-\
324688+9184*n-112*n^2)*p6*p2^2*p1+26244*(3614100-93450*n+1050*n^2)*p5*p4*p2+
65610*(1246740-28842*n+330*n^2)*p8*p2*p1+1632960*p6*p2^3*p1+52488*(-9052260+
305550*n-3150*n^2)*p5*p2*p1^2+43740*(250474380-14356890*n+341640*n^2-4620*n^3+
30*n^4)*p4*p3*p2+43740*(-6096420+148200*n-1560*n^2)*p4*p3*p1^2+32805*(-27617320
+1653890*n-46035*n^2+710*n^3-5*n^4)*p4*p2^2*p1+21870*(622920-16020*n+180*n^2)*
p4*p2*p1^3+29160*(-16301160+541260*n-5580*n^2)*p3^2*p2*p1+10935*(-703320+19920*
n-240*n^2)*p4*p3*p2^2+10935/2*(90160-3080*n+40*n^2)*p4*p2^3*p1+32805/2*(-274360
+8100*n-100*n^2)*p4^2*p2*p1+43740*(986440-24080*n+280*n^2)*p6*p4*p1+29160*(
2781744-59136*n+672*n^2)*p6*p3*p2+131220*(4474987180-1363525369/3*n+56111440/3*
n^2-5538965/12*n^3+30625/4*n^4-325/4*n^5+5/12*n^6)*p4*p2*p1+87480*(-465248700+
33883662*n-946524*n^2+13260*n^3-78*n^4)*p3*p2*p1^2+21870*(1689768-56784*n+624*n
^2)*p3*p2^2*p1^2+87480*(119524972-6668816*n+156842*n^2-2128*n^3+14*n^4)*p6*p2*
p1+69984*(92039220-2984940*n+28980*n^2)*p5*p3*p1-24494400*p6*p4*p2*p1+29393280*
p6*p2*p1^3+4374*(-1052520+35700*n-420*n^2)*p5*p2^3+262440/7*(-16251900+399000*n
-4200*n^2)*p7*p4+131220/7*(4484760-152880*n+1680*n^2)*p7*p2^2+34992*(-15332100+
276360*n-2940*n^2)*p6*p5+104976*(-4940936+93093*n-1001*n^2)*p10*p1+58320*(-\
18211050+624195*n-6435*n^2)*p9*p2+43740*(-11671110+184932*n-1980*n^2)*p8*p3+
32805*(114184840-5495045*n+268855/2*n^2-1875*n^3+25/2*n^4)*p4^2*p1+10935/4*(
7060480-490580*n+15710*n^2-268*n^3+2*n^4)*p2^4*p1+3645*(-181776+6120*n-72*n^2)*
p2^3*p1^3+3645/4*(216816-7584*n+96*n^2)*p3*p2^4+2187/8*(-29536+1168*n-16*n^2)*
p2^5*p1+131220*(-505296528+56955261/2*n-2272611/4*n^2+13431/2*n^3-165/4*n^4)*p8
*p1+524880/7*(-1198861188+89072130*n-2532180*n^2+35700*n^3-210*n^4)*p7*p2+
524880/7*(42296268-1401624*n+13608*n^2)*p7*p1^2+58320*(-1155837732+64586088*n-\
1224048*n^2+13776*n^3-84*n^4)*p6*p3+10935*(2210460-52200*n+600*n^2)*p4^2*p3+
173210400*p8*p3*p2-21651300*p8*p2^2*p1+314928000*p7*p4*p2+210161952*p10*p2*p1+
174960*(-295309722960+137394714187/2*n-23552189653/4*n^2+2085287491/8*n^3-\
115279815/16*n^4+1094807/8*n^5-7225/4*n^6+61/4*n^7-1/16*n^8)*p3*p2+165337200*p5
*p2^2*p1^2-27556200*p5*p4*p2^2-13122000*p4^2*p3*p2+1640250*p4^2*p2^2*p1+1749600
*p4*p3*p2^3-109350*p4*p2^4*p1-19595520*p6*p3*p2^2+97977600*p6*p4*p3+205752960*
p6*p5*p2+108256500*p8*p4*p1+9841500*p4^2*p1^3+136468800*p4*p3*p2*p1^2-3936600*
p4*p2^2*p1^3+162712800*p3^2*p2^2*p1-9097920*p3*p2^3*p1^2+131220*p2^4*p1^3+
892820880*p5*p1^4-11809800*p4*p1^5+1816084800*p3^2*p1^3-144866880*p3*p2*p1^4+
2361960*p2^2*p1^5+4723920*p1^7+7290*(-58937208+3927924*n-113520*n^2+1752*n^3-12
*n^4)*p3*p2^3+26244*(288976380-20075685*n+1134735/2*n^2-8295*n^3+105/2*n^4)*p5*
p2^2+52488*(-1325977800+158653425/2*n-6988275/4*n^2+43575/2*n^3-525/4*n^4)*p5*
p4+104976*(-31877837250+8405560765/2*n-423256855/2*n^2+46305875/8*n^3-774585/8*
n^4+7665/8*n^5-35/8*n^6)*p5*p2+29160*(-2637768+47376*n-504*n^2)*p6*p1^3+174960*
(-17274747448+6112037302/3*n-509312279/6*n^2+5507978/3*n^3-25956*n^4+245*n^5-7/
6*n^6)*p6*p1+58320*(4205483856-345199455*n+18913005/2*n^2-126945*n^3+1395/2*n^4
)*p3^2*p1+87480*(-34922259870+8382745111/2*n-713607425/4*n^2+3956800*n^3-226725
/4*n^4+1065/2*n^5-5/2*n^6)*p4*p3+104976*(2308034190-380062515/2*n+21203385/4*n^
2-143325/2*n^3+1575/4*n^4)*p5*p1^2+43740*(-235712820+13711065*n-600675/2*n^2+
3735*n^3-45/2*n^4)*p4*p1^3+524880*(-533731365536+2786388475783/12*n-\
571662843393/16*n^2+85529753987/32*n^3-22277952331/192*n^4+1302257057/384*n^5-\
47220983/640*n^6+237461/192*n^7-1481/96*n^8+49/384*n^9-1/1920*n^10)*p2*p1+43740
*(7803553344-884890187*n+82410517/2*n^2-1106992*n^3+38097/2*n^4-201*n^5+n^6)*p3
*p2^2+131220*(56687490000-62426770211/6*n+17917374223/24*n^2-727330253/24*n^3+
26743827/32*n^4-50510/3*n^5+11717/48*n^6-55/24*n^7+1/96*n^8)*p2^2*p1+87480*(-\
5828894688+755809347*n-37226271*n^2+4010595/4*n^3-66561/4*n^4+657/4*n^5-3/4*n^6
)*p2*p1^3+174960*(38610942048-12591743921/2*n+1439081815/4*n^2-10043411*n^3+
657615/4*n^4-3081/2*n^5+13/2*n^6)*p3*p1^2+262440*(-192994399416+518746940509/12
*n-55398114501/16*n^2+6586452761/48*n^3-637301405/192*n^4+683555/12*n^5-69265/
96*n^6+295/48*n^7-5/192*n^8)*p4*p1+21870*(51096864-3485082*n+97599*n^2-1422*n^3
+9*n^4)*p2^2*p1^3+4374*(-1587240+52380*n-540*n^2)*p2*p1^5+21870*(-995901232+
311163742/3*n-14436796/3*n^2+828301/6*n^3-5229/2*n^4+61/2*n^5-1/6*n^6)*p2^3*p1+
14580*(16194132-511704*n+4968*n^2)*p3*p1^4+1049760*(231757926400-1782395207503/
5*n+48277833265969/288*n^2-39198707931545/1152*n^3+8094723982915/2304*n^4-\
4761223361591/23040*n^5+355046718619/46080*n^6-4661617751/23040*n^7+185402839/
46080*n^8-286361/4608*n^9+3689/5120*n^10-43/7680*n^11+1/46080*n^12)*p1+116640*(
4551094548-1512720495/4*n+86068125/8*n^2-585585/4*n^3+6435/8*n^4)*p9+6480*(
164506140-5005800*n+48600*n^2)*p3^3+349920*(1274597111424-6087098171911/8*n+
5088285403123/32*n^2-502781284771/32*n^3+108795730941/128*n^4-1810416623/64*n^5
+102280287/160*n^6-164375/16*n^7+14929/128*n^8-55/64*n^9+1/320*n^10)*p3+8748*(
419879616-33741675*n+1835145/2*n^2-12285*n^3+135/2*n^4)*p1^5+174960*(
126004589088-156385197169/4*n+68104851661/16*n^2-3548275511/16*n^3+421110747/64
*n^4-505359/4*n^5+51319/32*n^6-201/16*n^7+3/64*n^8)*p1^3+1049760/7*(98770003332
-31955565607/2*n+3705062753/4*n^2-26525905*n^3+1762425/4*n^4-8295/2*n^5+35/2*n^
6)*p7+209952*(707829057936-1704799135375/8*n+741009353105/32*n^2-39303952135/32
*n^3+4783956555/128*n^4-5838245/8*n^5+597415/64*n^6-2345/32*n^7+35/128*n^8)*p5-\
840647808*p10*p3-909354600*p8*p5-1876446000*p9*p4+1458*p2^6*p1+45722880*p6^2*p1
+918540*p5*p2^4-2733750*p4^3*p1-34992*p3*p2^5-1175731200*p7*p6-20995200*p7*p2^3
+68890500*p5*p4^2+28482088320*p13+375289200*p9*p2^2-4585351680*p11*p2-\
1082652480*p12*p1+1049760/11*(73717644-2474472*n+24024*n^2)*p11
[3, 3, 3, 3, 3, 2, 2, 2]
38880*(-52646160+1252496*n-11312*n^2)*p6*p3*p2+87480*(-34914660+978813*n-8745*n
^2)*p8*p2*p1+349920/7*(3600828-86520*n+840*n^2)*p7*p2*p1^2+58320*(-30407440+
626220*n-5740*n^2)*p6*p4*p1+466560/7*(-27367200+549360*n-5040*n^2)*p7*p3*p1+
29160*(7393456-204792*n+1960*n^2)*p6*p2^2*p1+19440*(-304248+5264*n-56*n^2)*p6*
p2*p1^3+34992*(-56114100+1289225*n-11725*n^2)*p5*p4*p2+34992*(2751000-53025*n+
525*n^2)*p5*p4*p1^2+38880*(2296056-33600*n+336*n^2)*p6*p3*p1^2+3499200*p4*p3*p2
^2*p1^2-27993600*p4*p3^2*p2*p1-36741600*p5*p4*p2*p1^2-58786560*p5*p3*p2^2*p1+
58320*(300150320-13106505*n+246540*n^2-2670*n^3+15*n^4)*p4*p3*p1^2+43740*(
569243480-32888410*n+786725*n^2-9890*n^3+55*n^4)*p4*p2^2*p1+29160*(-36844500+
1698785*n-69995/2*n^2+415*n^3-5/2*n^4)*p4*p2*p1^3+38880*(498430746-25473894*n+
553074*n^2-6552*n^3+36*n^4)*p3^2*p2*p1+29160*(-64543952+3424530*n-80136*n^2+
1020*n^3-6*n^4)*p3*p2^2*p1^2+9720*(3074616-93936*n+912*n^2)*p3*p2*p1^4+174960*(
-90544932540+9676429207*n-1594043365/4*n^2+72445035/8*n^3-1023595/8*n^4+8725/8*
n^5-35/8*n^6)*p4*p2*p1+69984*(340011490-36070965/2*n+1594215/4*n^2-9555/2*n^3+
105/4*n^4)*p5*p2*p1^2+58320*(-4347683100+239184815*n-5156365*n^2+59560*n^3-310*
n^4)*p4*p3*p2+93312*(-2757198780+282812565/2*n-2791950*n^2+30555*n^3-315/2*n^4)
*p5*p3*p1+116640*(-2775423476+168446250*n-3934742*n^2+46690*n^3-238*n^4)*p6*p2*
p1+19440*(3881760-72720*n+720*n^2)*p4*p3^2*p1+14580*(10357080-267400*n+2600*n^2
)*p4*p3*p2^2+7290*(-1546000+44460*n-460*n^2)*p4*p2^3*p1+7290*(75840-1780*n+20*n
^2)*p4*p2^2*p1^3+9720*(-1109040+27936*n-288*n^2)*p3^2*p2^2*p1+4860*(159960-4368
*n+48*n^2)*p3*p2^3*p1^2+17496*(-787920+20370*n-210*n^2)*p5*p2^2*p1^2+21870*(
6217840-148050*n+1450*n^2)*p4^2*p2*p1+58320*(266092200-6042630*n+51150*n^2)*p8*
p3+139968*(161931770-9162153/2*n+77077/2*n^2)*p10*p1+77760*(297541530-18401955/
2*n+152295/2*n^2)*p9*p2+15552*(-40257000+824040*n-7560*n^2)*p5*p3^2+5832*(
12534480-356230*n+3430*n^2)*p5*p2^3+14580*(-42697200+899100*n-8300*n^2)*p4^2*p3
+7290*(-238080+4650*n-50*n^2)*p4^2*p1^3+1944*p2^5*p1^3+174960/7*(-62086920+
1793400*n-15960*n^2)*p7*p2^2+1866240*p3^2*p2^3*p1-116640*p3*p2^4*p1^2+452874240
*p6*p3*p2^2-39191040*p6*p2^3*p1+1088640*p6*p2^2*p1^3+308629440*p5^2*p2*p1+
428652000*p5*p4*p2^2+235146240*p5*p3^2*p2+2449440*p5*p2^3*p1^2+250776000*p4^2*
p3*p2+500385600*p9*p2*p1^2-4330260000*p8*p4*p1-6081609600*p8*p3*p2+115473600*p8
*p3*p1^2+779446800*p8*p2^2*p1+2916*(1348400-30300*n+300*n^2)*p4*p1^5+9720*(
843341904-49854370*n+1221650*n^2-15656*n^3+88*n^4)*p3*p2^3+29160*(-1731472704+
452588432/3*n-34233355/6*n^2+1558453/12*n^3-7763/4*n^4+73/4*n^5-1/12*n^6)*p2^2*
p1^3+3645*(-117960704+7285968*n-192512*n^2+2656*n^3-16*n^4)*p2^4*p1+77760*(-\
94118488200+18789313041/2*n-699566361/2*n^2+7185087*n^3-93999*n^4+765*n^5-3*n^6
)*p3^2*p1+58320*(-128890808280+41457002621/3*n-3461472037/6*n^2+79873031/6*n^3-\
191831*n^4+3341/2*n^5-41/6*n^6)*p3*p2^2+19440*(-1035547632+70095966*n-1770168*n
^2+22116*n^3-114*n^4)*p3*p1^4+29160*(18586121736-1876916990*n+158857521/2*n^2-\
7784409/4*n^3+120793/4*n^4-1135/4*n^5+5/4*n^6)*p2^3*p1+174960*(12241149492-\
834286365*n+39448959/2*n^2-226743*n^3+2145/2*n^4)*p8*p1+699840/7*(20281948932-\
1408608915*n+34465725*n^2-399000*n^3+1890*n^4)*p7*p2+69984*(24190473300-\
1422569225*n+27453125*n^2-289100*n^3+1400*n^4)*p5*p4+729/2*(379840-12264*n+136*
n^2)*p2^5*p1-8748000*p4^2*p3*p1^2-32805000*p4^2*p2^2*p1+729000*p4^2*p2*p1^3-\
26438400*p4*p3*p2^3+1749600*p4*p2^4*p1-97200*p4*p2^3*p1^3-621457920*p7*p1^4+
6531840*p6*p1^5-2116316160*p5*p3*p1^3+102876480*p5*p2*p1^4+44323200*p4*p3*p1^4-\
1749600*p4*p2*p1^5-912591360*p3^3*p1^2+180558720*p3^2*p2*p1^3-8864640*p3*p2^2*
p1^4+116640*p2^3*p1^5+46656*(305260200-5924590*n+50470*n^2)*p6*p5+77760*(-\
16190460+701415/2*n-6435/2*n^2)*p9*p1^2+29160*(1292940-16401*n+165*n^2)*p8*p1^3
+349920/7*(294491400-6176100*n+52500*n^2)*p7*p4+116640*(12872620428-2357967207/
2*n+176432457/4*n^2-962318*n^3+54165/4*n^4-237/2*n^5+1/2*n^6)*p3*p2*p1^2+139968
/5*(-30605400+1201725/2*n-11025/2*n^2)*p5^2*p1+4320*(7672320-177984*n+1728*n^2)
*p3^3*p2+34992*(-4438892220+274311345*n-12967955/2*n^2+77875*n^3-805/2*n^4)*p5*
p2^2+1215/2*(-23232+680*n-8*n^2)*p2^4*p1^3+1399680/11*(-1396755360+46922876*n-\
364364*n^2)*p11+1215*(-2428320+72368*n-752*n^2)*p3*p2^4+293932800*p5*p4*p3*p1+
77760*(22145306400-1330176022*n+26716214*n^2-286244*n^3+1372*n^4)*p6*p3+38880*(
180350562-7678468*n+126749*n^2-1232*n^3+7*n^4)*p6*p1^3+699840/7*(-1607696664+
88850517*n-1818138*n^2+20370*n^3-105*n^4)*p7*p1^2+5832*(125927280-8126480*n+
209795*n^2-2730*n^3+15*n^4)*p2*p1^5+233280*(-773676731088+287037282367/2*n-\
39498840763/4*n^2+5635731795/16*n^3-251746019/32*n^4+1943795/16*n^5-10489/8*n^6
+73/8*n^7-1/32*n^8)*p3*p1^2+349920*(3373102916904-4759328608625/6*n+
1615007827787/24*n^2-22430562381/8*n^3+6547349825/96*n^4-6546475/6*n^5+563405/
48*n^6-635/8*n^7+25/96*n^8)*p4*p1+233280*(4859493137784-2262687096923/2*n+
2270936669965/24*n^2-186975401143/48*n^3+756373061/8*n^4-73188649/48*n^5+268119
/16*n^6-701/6*n^7+19/48*n^8)*p3*p2+139968*(-59367515340+12471042955/2*n-\
1951848745/8*n^2+82015955/16*n^3-1088115/16*n^4+8925/16*n^5-35/16*n^6)*p5*p1^2+
139968*(539726291370-208048367275/3*n+77153541605/24*n^2-3616279625/48*n^3+
16679215/16*n^4-134645/16*n^5+1505/48*n^6)*p5*p2+58320*(8641998000-2220161327/3
*n+293940515/12*n^2-11110925/24*n^3+46175/8*n^4-385/8*n^5+5/24*n^6)*p4*p1^3+
116640*(613275426000-224528398595/3*n+18940302775/6*n^2-785771695/12*n^3+
3352045/4*n^4-26315/4*n^5+295/12*n^6)*p4*p3+233280*(343922592090-89218158673/2*
n+2077296711*n^2-193666809/4*n^3+2662849/4*n^4-21175/4*n^5+77/4*n^6)*p6*p1+1458
*(-375920+11640*n-120*n^2)*p2^2*p1^5+4860*(8533776-466090*n+11591*n^2-158*n^3+n
^4)*p2^3*p1^3-26127360*p6*p3*p2*p1^2+12960*(-25810272+759294*n-6966*n^2)*p3^2*
p1^3-9622800*p8*p2*p1^3+43740*(-2909060000+149345510*n-3006665*n^2+33450*n^3-\
175*n^4)*p4^2*p1+11664*(-16657200+480690*n-4410*n^2)*p5*p1^4+685843200*p6*p4*p2
*p1+174960*(-1011973386144+1143761323517/6*n-327973685453/24*n^2+4210780303/8*n
^3-1247247047/96*n^4+2663849/12*n^5-126239/48*n^6+159/8*n^7-7/96*n^8)*p2^2*p1+
671846400*p7*p3*p2*p1+116640*(139060667184-86345283721/4*n+63128411543/48*n^2-\
2144829217/48*n^3+64483443/64*n^4-48583/3*n^5+5943/32*n^6-67/48*n^7+1/192*n^8)*
p2*p1^3+29160*(-543900+11400*n-120*n^2)*p4*p3*p2*p1^2-5458752000*p7*p4*p2+46656
*(5677350-129780*n+1260*n^2)*p5*p3*p2*p1-3527193600*p7*p5*p1+699840*(
8551034875840-45733691827475/12*n+28855827162521/48*n^2-2925109757257/64*n^3+
62753769133/32*n^4-13816064747/256*n^5+4028006357/3840*n^6-5733889/384*n^7+
58655/384*n^8-785/768*n^9+13/3840*n^10)*p2*p1+466560*(-19782627096960+
23826026137687/2*n-60001229841401/24*n^2+7831375485161/32*n^3-407420453925/32*n
^4+148909760855/384*n^5-2922723727/384*n^6+19816255/192*n^7-187663/192*n^8+2303
/384*n^9-7/384*n^10)*p3-41990400*p7*p2^2*p1^2+209952000*p7*p4*p1^2+233280*(-\
2213291325120+2992155720597/4*n-4427625961351/48*n^2+364965666133/64*n^3-\
3345442541/16*n^4+3960197101/768*n^5-355541209/3840*n^6+477197/384*n^7-4679/384
*n^8+61/768*n^9-1/3840*n^10)*p1^3+1399680*(-3476368896000+107858664897203/20*n-\
123156724500623/48*n^2+101211306363185/192*n^3-21063787729775/384*n^4+
12312266726459/3840*n^5-177233662663/1536*n^6+3596258121/1280*n^7-382862359/
7680*n^8+508069/768*n^9-9829/1536*n^10+157/3840*n^11-1/7680*n^12)*p1+11664*(-\
16284203760+2021686250*n-192469245/2*n^2+9724765/4*n^3-146785/4*n^4+1275/4*n^5-\
5/4*n^6)*p1^5+155520*(-81710188560+6815048955*n-730142985/4*n^2+4167735/2*n^3-\
36465/4*n^4)*p9+1944/7*(-6058080+206010*n-1890*n^2)*p1^7-4846625280*p6*p5*p2-\
5443200*p6*p4*p1^3-2656281600*p6*p4*p3+137168640*p6*p5*p1^2+8640*(-3941008020+
189037044*n-3796092*n^2+41904*n^3-216*n^4)*p3^3+1399680/7*(-1682624623680+
273917121968*n-15548540672*n^2+1637400415/4*n^3-23062305/4*n^4+176085/4*n^5-595
/4*n^6)*p7+279936000*p7*p2^3+32332608000*p8*p5-4003084800*p9*p3*p1-10928421504*
p10*p2*p1+279936*(-11477138793120+3483800518170*n-4523829978745/12*n^2+
926429535605/48*n^3-17113816195/32*n^4+427426055/48*n^5-187285/2*n^6+7175/12*n^
7-175/96*n^8)*p5+104509440*p6*p3^2*p1+77950978560*p12*p1+95782901760*p11*p2+
65610000*p4^3*p1-1234517760*p5^2*p3-10614240*p5*p2^4+388800*p3*p2^5-7464960*p3^
3*p2^2+37324800*p4*p3^3+46702656*p10*p1^3-3056901120*p11*p1^2-17496*p2^6*p1+
42966443520*p10*p3-6171422400*p9*p2^2+38362896000*p9*p4+29785190400*p7*p6-\
1343692800*p7*p3^2-1646023680*p6^2*p1-1347192000*p5*p4^2-40590720*p3*p1^6-\
759522355200*p13+1049760*p2*p1^7
[3, 3, 3, 3, 2, 2, 2, 2, 2]
-9340531200*p10*p1^3-28911168000*p9*p2*p1^2-77760*p2^5*p1^3-23441140800*p8*p2^2
*p1-15293836800*p8*p3*p1^2-11826984960*p6*p5*p1^2+382961779200*p10*p2*p1-\
5688299520*p7*p2^3+230965862400*p11*p1^2-28068249600*p7*p3*p2*p1-12877056000*p7
*p4*p1^2-23732352000*p6*p4*p2*p1+173595312000*p8*p4*p1+136772064000*p9*p2^2+
217056153600*p9*p3*p1-11008327680*p6*p3*p2^2+51358924800*p7*p3^2+135153100800*
p7*p4*p2-8453652480*p6*p3^2*p1+153628876800*p7*p5*p1+166589913600*p8*p3*p2+
85871923200*p6*p4*p3+122829944832*p6*p5*p2+73888174080*p6^2*p1+2592*p2^4*p1^5-\
7315660800*p5*p3^2*p2-9592007040*p5*p4*p2^2-14892595200*p5*p4*p3*p1+37329465600
*p5*p4^2+40601917440*p5^2*p3-11247828480*p5^2*p2*p1-1692057600*p4*p3^3-\
6741792000*p4^2*p3*p2-2303640000*p4^3*p1+2488320/7*(205179240-4804800*n+36960*n
^2)*p7*p3*p1+1866240/7*(-31030818+830760*n-6720*n^2)*p7*p2*p1^2+1866240/7*(-\
1496349750+31313520*n-229320*n^2)*p7*p4+933120/7*(270042654-7317996*n+56868*n^2
)*p7*p2^2+746496*(-1073607535+67142075/2*n-475475/2*n^2)*p10*p1+25920*(-1167500
+32320*n-304*n^2)*p3*p2^3*p1^2+31104*(-506730+11445*n-105*n^2)*p5*p2*p1^4+93312
*(6054034-160160*n+1400*n^2)*p5*p2^2*p1^2+82944*(3446415-72450*n+630*n^2)*p5*p3
*p1^3+34560*(-671220+15696*n-144*n^2)*p3^2*p2*p1^3+51840*(7049436-183072*n+1632
*n^2)*p3^2*p2^2*p1+25920*(-366870+6420*n-60*n^2)*p4*p3*p1^4+622080*(-\
78964116792+94960812355/12*n-7507434461/24*n^2+81734435/12*n^3-728929/8*n^4+
1447/2*n^5-8/3*n^6)*p3*p2*p1^2+933120*(463917169260-51642325755*n+12851474525/6
*n^2-138809305/3*n^3+1794715/3*n^4-13595/3*n^5+95/6*n^6)*p4*p2*p1+12960*(101820
-2472*n+24*n^2)*p3*p2^2*p1^4+622080*(15684153625-2938856641/3*n+43832551/2*n^2-\
702779/3*n^3+2065/2*n^4)*p6*p2*p1+497664*(16911505485-954866850*n+76322085/4*n^
2-390915/2*n^3+3465/4*n^4)*p5*p3*p1+373248*(-2455786389+568508871/4*n-25126353/
8*n^2+138425/4*n^3-1295/8*n^4)*p5*p2*p1^2+311040*(20582260650-1115758265*n+
45530855/2*n^2-239455*n^3+2185/2*n^4)*p4*p3*p2+311040*(-2483919150+131086170*n-\
5339825/2*n^2+28355*n^3-265/2*n^4)*p4*p3*p1^2+233280*(-3103306090+1061845685/6*
n-15772345/4*n^2+266395/6*n^3-855/4*n^4)*p4*p2^2*p1+155520*(357271050-38682135/
2*n+1694305/4*n^2-9585/2*n^3+95/4*n^4)*p4*p2*p1^3+207360*(-3036959091+163627278
*n-3505920*n^2+38748*n^3-186*n^4)*p3^2*p2*p1+155520*(458586342-25680506*n+
587913*n^2-6898*n^3+35*n^4)*p3*p2^2*p1^2+51840*(-47816358+2419293*n-51492*n^2+
582*n^3-3*n^4)*p3*p2*p1^4+186624*(-28531510+615475*n-5075*n^2)*p5*p4*p1^2+
116640*(-38083100+892850*n-7450*n^2)*p4^2*p2*p1+103680*(-33225900+749760*n-6240
*n^2)*p4*p3^2*p1+77760*(-46642170+1163180*n-9860*n^2)*p4*p3*p2^2+38880*(7884140
-213950*n+1910*n^2)*p4*p2^3*p1+38880*(-829020+21560*n-200*n^2)*p4*p2^2*p1^3+
7776*(53900-1010*n+10*n^2)*p4*p2*p1^5+207360*(-27944420+630952*n-5152*n^2)*p6*
p3*p1^2+155520*(-41507060+1111488*n-9156*n^2)*p6*p2^2*p1+103680*(4167324-104132
*n+896*n^2)*p6*p2*p1^3+186624*(261413250-5833660*n+46060*n^2)*p5*p4*p2+311040*(
213807020-4565120*n+35420*n^2)*p6*p4*p1+207360*(256585140-6090224*n+47768*n^2)*
p6*p3*p2+466560*(213899070-6043455*n+46035*n^2)*p8*p2*p1+82944*(232577100-\
5105520*n+40320*n^2)*p5*p3^2+31104*(-50955282+1351273*n-11389*n^2)*p5*p2^3+
77760*(231737100-4979900*n+39500*n^2)*p4^2*p3+38880*(3493500-73850*n+650*n^2)*
p4^2*p1^3+10368*(-232820+2968*n-28*n^2)*p6*p1^5+746496/5*(217271145-8978025/2*n
+69825/2*n^2)*p5^2*p1+279936*p1^9+248832*(-1555433460+30352168*n-223048*n^2)*p6
*p5+414720*(-1389187800+82056975/2*n-589875/2*n^2)*p9*p2+414720*(156366210-\
8818095/2*n+66495/2*n^2)*p9*p1^2+311040*(-1399998600+33483450*n-243210*n^2)*p8*
p3+155520*(-20810790+511005*n-4125*n^2)*p8*p1^3+1866240*(-15122690415840+
29505627344175/8*n-31234530969505/96*n^2+1339456768355/96*n^3-129467109575/384*
n^4+40773525/8*n^5-9606515/192*n^6+29005/96*n^7-335/384*n^8)*p4*p1+746496*(
345295462470-243294252523/6*n+42330379987/24*n^2-1868275171/48*n^3+8003317/16*n
^4-58975/16*n^5+595/48*n^6)*p5*p1^2+311040*(-62456679120+6411127150*n-\
1013688785/4*n^2+42939335/8*n^3-553735/8*n^4+4225/8*n^5-15/8*n^6)*p4*p1^3+
414720*(496225212345-106458290345/2*n+4187942597/2*n^2-42914270*n^3+537690*n^4-\
4020*n^5+14*n^6)*p3^2*p1+155520*(-93596708388+56571435449/6*n-2299392101/6*n^2+
69554651/8*n^3-2920111/24*n^4+24235/24*n^5-31/8*n^6)*p2^3*p1+155520*(
12392064732-2373503101/2*n+188950595/4*n^2-1071630*n^3+60523/4*n^4-255/2*n^5+1/
2*n^6)*p2^2*p1^3+31104*(-1495717140+777838727/6*n-14128690/3*n^2+2367157/24*n^3
-10453/8*n^4+85/8*n^5-1/24*n^6)*p2*p1^5+1244160*(3806331296572-9122921440631/12
*n+909709005367/16*n^2-17427300807/8*n^3+3211057747/64*n^4-36632675/48*n^5+
746891/96*n^6-2375/48*n^7+29/192*n^8)*p3*p1^2+933120*(4678390746204-\
7272002520617/8*n+2121799990749/32*n^2-241565584297/96*n^3+7525570131/128*n^4-\
7388235/8*n^5+629647/64*n^6-6311/96*n^7+27/128*n^8)*p2^2*p1+622080*(-\
774151482132+1066081053835/8*n-863736845365/96*n^2+31623552263/96*n^3-978449777
/128*n^4+1450189/12*n^5-83277/64*n^6+845/96*n^7-11/384*n^8)*p2*p1^3+3732480*(-\
35671826388800+130073650601357/8*n-757008359108627/288*n^2+117628413342793/576*
n^3-10167611173859/1152*n^4+547128173501/2304*n^5-10044320617/2304*n^6+65764393
/1152*n^7-101123/192*n^8+7213/2304*n^9-7/768*n^10)*p2*p1+3456*(3374190-103500*n
+900*n^2)*p3*p1^6+25920*(-69967140+4027767*n-194431/2*n^2+1207*n^3-13/2*n^4)*p2
^3*p1^3+7776*(6855276-350009*n+15399/2*n^2-91*n^3+1/2*n^4)*p2^2*p1^5+5184/7*(-\
444864+13734*n-126*n^2)*p2*p1^7+1244160*(-1704662872815+1402451824403/6*n-\
34286026768/3*n^2+535069073/2*n^3-20580931/6*n^4+145747/6*n^5-77*n^6)*p6*p1+
233280*(17594311000-2911607050/3*n+18823450*n^2-572450/3*n^3+850*n^4)*p4^2*p1+
69120*(337768137-16850934*n+343800*n^2-3708*n^3+18*n^4)*p3^2*p1^3+6480*(9581832
-267104*n+2432*n^2)*p3*p2^4+1296*(-15512+388*n-4*n^2)*p2^3*p1^5+3732480/7*(-\
94103548224+6397925408*n-291317733/2*n^2+1509067*n^3-12537/2*n^4)*p7*p2+3732480
/7*(11676031668-761401578*n+34631079/2*n^2-183645*n^3+1575/2*n^4)*p7*p1^2+
414720*(-107391784626+6582515282*n-129075737*n^2+1271102*n^3-5327*n^4)*p6*p3+
207360*(-1820273091+104924967*n-4456207/2*n^2+23821*n^3-217/2*n^4)*p6*p1^3+3240
*(192672-5624*n+56*n^2)*p2^4*p1^3+1944*(-1677920+49920*n-480*n^2)*p2^5*p1+23040
*(4419576-99360*n+864*n^2)*p3^3*p1^2+15552*(-32116470+2750805/2*n-95755/4*n^2+
475/2*n^3-5/4*n^4)*p4*p1^5+23040*(-42118920+1019520*n-8640*n^2)*p3^3*p2+933120*
(-69197521470+10204120465/2*n-496932645/4*n^2+2592095/2*n^3-20955/4*n^4)*p8*p1+
373248*(-116431244895+27609879185/4*n-1012237135/8*n^2+4857475/4*n^3-40985/8*n^
4)*p5*p4+186624*(19890248511-4692800861/4*n+204334571/8*n^2-1100379/4*n^3+9989/
8*n^4)*p5*p2^2+62208*(257241243-51904545/4*n+2042775/8*n^2-10815/4*n^3+105/8*n^
4)*p5*p1^4+829440*(383147454690-64516677225/2*n+3359535465/4*n^2-8573565*n^3+
130845/4*n^4)*p9+7464960/11*(6925578660-234358124*n+1565564*n^2)*p11+46080*(
20324869110-1030172364*n+20508984*n^2-213192*n^3+972*n^4)*p3^3+155520*(5270330-\
127640*n+1120*n^2)*p4*p3*p2*p1^2+2488320*(80390857889160-48914002398709*n+
248564970795835/24*n^2-97547407460159/96*n^3+2503390790321/48*n^4-585077236885/
384*n^5+3556142059/128*n^6-66194873/192*n^7+568315/192*n^8-6269/384*n^9+17/384*
n^10)*p3+1244160*(9861978171360-28255807020501/8*n+15012468531999/32*n^2-\
6065319773333/192*n^3+160647194579/128*n^4-25097401573/768*n^5+459848749/768*n^
6-3042761/384*n^7+7103/96*n^8-341/768*n^9+1/768*n^10)*p1^3+62208*(119874635860-\
442473712987/24*n+36385996685/32*n^2-1239036099/32*n^3+107998211/128*n^4-301279
/24*n^5+24493/192*n^6-79/96*n^7+1/384*n^8)*p1^5+1492992*(48618988047630-\
14926980733273*n+38971138794245/24*n^2-986488061489/12*n^3+69739416089/32*n^4-\
1599525263/48*n^5+2528477/8*n^6-86597/48*n^7+469/96*n^8)*p5+311040/7*(2428230-\
48300*n+420*n^2)*p7*p1^4+10368/7*(151049220-20738571/2*n+1069257/4*n^2-6489/2*n
^3+63/4*n^4)*p1^7+1244160*(-20960543086980+19706679471537/4*n-19712231831999/48
*n^2+98466195605/6*n^3-23907683041/64*n^4+266010007/48*n^5-1766927/32*n^6+16549
/48*n^7-199/192*n^8)*p3*p2+622080*(-2796499032600+1383748447015/4*n-\
116052315905/8*n^2+1148612595/4*n^3-27308615/8*n^4+48405/2*n^5-80*n^6)*p4*p3+
746496*(-2430116617740+311951507602*n-112223770435/8*n^2+4882443573/16*n^3-\
61226361/16*n^4+440755/16*n^5-1449/16*n^6)*p5*p2+311040*(581250069876-\
244900451923/4*n+19489238537/8*n^2-52184934*n^3+5476237/8*n^4-21325/4*n^5+77/4*
n^6)*p3*p2^2+103680*(10033894380-3674814431/4*n+269577565/8*n^2-691060*n^3+
70689/8*n^4-273/4*n^5+1/4*n^6)*p3*p1^4+51840*(-3663248022+206441807*n-4670777*n
^2+53840*n^3-266*n^4)*p3*p2^3+19440*(581101744-102665350/3*n+826355*n^2-30386/3
*n^3+53*n^4)*p2^4*p1+7464960*(13688202528000-513920642435231/24*n+
742452903679925/72*n^2-2475220369715785/1152*n^3+174066671504729/768*n^4-\
61544606229191/4608*n^5+4400208578089/9216*n^6-51918178843/4608*n^7+579789263/
3072*n^8-3551287/1536*n^9+186811/9216*n^10-533/4608*n^11+1/3072*n^12)*p1+248832
*(-37880325+910980*n-7560*n^2)*p5*p3*p2*p1+7464960/7*(7482069274680-\
1231373648162*n+139226525431/2*n^2-7036829919/4*n^3+90122683/4*n^4-612325/4*n^5
+1827/4*n^6)*p7-864084049920*p7*p6-1074161088000*p9*p4-2355851796480*p11*p2-\
3291263539200*p12*p1-1382398617600*p10*p3+222393600*p9*p1^4-926005893120*p8*p5+
1308700800*p8*p2*p1^3-2566080*p8*p1^5+597196800*p7*p3*p1^3+1903564800*p7*p2^2*
p1^2-37324800*p7*p2*p1^4+2206310400*p6*p3*p2*p1^2-11612160*p6*p3*p1^4+
1045094400*p6*p2^3*p1-95800320*p6*p2^2*p1^3-16329600*p5*p4*p1^4+627056640*p5*p3
^2*p1^2-104509440*p5*p3*p2*p1^3+200527488*p5*p2^4-93623040*p5*p2^3*p1^2+
1368576000*p4*p3^2*p2*p1-24883200*p4*p3^2*p1^3+572313600*p4*p3*p2^3+5443200*p4*
p2^3*p1^3-77760*p4*p2^2*p1^5+88957440*p3^2*p1^5-6220800*p3*p2*p1^6+218972160*p3
^3*p2^2+93312*p2^2*p1^7-39813120*p3^3*p2*p1^2-61378560*p3^2*p2^3*p1+4976640*p3^
2*p2^2*p1^3+4250880*p3*p2^4*p1^2-207360*p3*p2^3*p1^4+21266625945600*p13+
566092800*p6*p4*p1^3+580608*p6*p2*p1^5+274337280*p5^2*p1^3+1992211200*p5*p4*p2*
p1^2+2037934080*p5*p3*p2^2*p1+3265920*p5*p2^2*p1^4+947700000*p4^2*p2^2*p1+
598752000*p4^2*p3*p1^2+194400*p4^2*p1^5-52488000*p4^2*p2*p1^3+35271936*p5*p1^6-\
183513600*p4*p3*p2^2*p1^2+3110400*p4*p3*p2*p1^4-466560*p4*p1^7-41212800*p4*p2^4
*p1+79626240*p3^4*p1-7153920*p3*p2^5+349920*p2^6*p1
[3, 3, 3, 2, 2, 2, 2, 2, 2, 2]
-2571264*p3*p1^8+62208*p2*p1^9+8709120*(177075049334-37691416957/2*n+3092090397
/4*n^2-134524601/8*n^3+1747429/8*n^4-13151/8*n^5+45/8*n^6)*p3*p2*p1^2+6967296*(
-37683288160+2231909370*n-44569973*n^2+437962*n^3-1799*n^4)*p5*p3*p1+5225472*(
6294134868-769645353/2*n+8503173*n^2-89054*n^3+763/2*n^4)*p5*p2*p1^2+4354560*(-\
39809233254+13004121775/6*n-86625835/2*n^2+1303900/3*n^3-1845*n^4)*p4*p3*p2+
4354560*(6632275240-758614955/2*n+7857485*n^2-80655*n^3+695/2*n^4)*p4*p3*p1^2+
3265920*(6806195424-391976415*n+17032275/2*n^2-90725*n^3+805/2*n^4)*p4*p2^2*p1+
2177280*(-1111972740+392867095/6*n-5844395/4*n^2+95045/6*n^3-285/4*n^4)*p4*p2*
p1^3+2903040*(6867976160-379662328*n+8044399*n^2-85106*n^3+379*n^4)*p3^2*p2*p1+
8709120*(-34083067984+2192341634*n-48412777*n^2+490210*n^3-1995*n^4)*p6*p2*p1+
725760*(-16920152+443408*n-3632*n^2)*p3^2*p2^2*p1+483840*(2752656-72312*n+600*n
^2)*p3^2*p2*p1^3+362880*(3188882-88784*n+760*n^2)*p3*p2^3*p1^2+181440*(-486884+
13364*n-116*n^2)*p3*p2^2*p1^4+24192*(57270-1380*n+12*n^2)*p3*p2*p1^6+362880*(
2378420-58630*n+470*n^2)*p4*p3*p1^4+544320*(-17705360+474315*n-3875*n^2)*p4*p2^
3*p1+544320*(2907280-78775*n+655*n^2)*p4*p2^2*p1^3+108864*(-393920+10085*n-85*n
^2)*p4*p2*p1^5+2903040*(89236868-2194220*n+16156*n^2)*p6*p3*p1^2+2177280*(
95429040-2544234*n+19194*n^2)*p6*p2^2*p1+1451520*(-15500912+421218*n-3234*n^2)*
p6*p2*p1^3+2612736*(-523868170+23424895/2*n-170695/2*n^2)*p5*p4*p2+2612736*(
90772360-4168955/2*n+30835/2*n^2)*p5*p4*p1^2+2177280*(-1185571608+136955713/2*n
-1547901*n^2+17273*n^3-161/2*n^4)*p3*p2^2*p1^2+725760*(187826366-21710867/2*n+
493793/2*n^2-2768*n^3+13*n^4)*p3*p2*p1^4+13063680*(-920434517160+319103039690/3
*n-107945725699/24*n^2+4594369985/48*n^3-57128765/48*n^4+408335/48*n^5-1325/48*
n^6)*p4*p2*p1+3732480*(90028188-2510466*n+18354*n^2)*p7*p2*p1^2+4354560*(-\
533887760+11777220*n-83300*n^2)*p6*p4*p1+2903040*(-516871040+12314988*n-89292*n
^2)*p6*p3*p2+1451520*(87329000-2058940*n+15740*n^2)*p4*p3^2*p1+1088640*(
92785600-2300170*n+18010*n^2)*p4*p3*p2^2+1161216*(-14916636+368235*n-2835*n^2)*
p5*p3*p1^3+1306368*(-16915024+906941/2*n-7189/2*n^2)*p5*p2^2*p1^2+435456*(
2543842-134645/2*n+1085/2*n^2)*p5*p2*p1^4+1632960*(92398000-2196750*n+16750*n^2
)*p4^2*p2*p1+6531840*(-503160240+14394270*n-100254*n^2)*p8*p2*p1+4976640*(-\
512935200+12555900*n-88284*n^2)*p7*p3*p1-362880000*p4*p3*p2*p1^4+7315660800*p5*
p3*p2*p1^3-70986295296*p5*p3*p2^2*p1+612808519680*p5*p4*p3*p1-107784069120*p6*
p3*p2*p1^2+8164800000*p4*p3*p2^2*p1^2-53706240000*p4*p3^2*p2*p1-92451663360*p5*
p4*p2*p1^2+855932313600*p6*p4*p2*p1+1037569720320*p7*p3*p2*p1+45360*(-594656+
17388*n-156*n^2)*p2^4*p1^3+18144*(85232-2414*n+22*n^2)*p2^3*p1^5+2592*(-9104+
218*n-2*n^2)*p2^2*p1^7+5184*(34160-565*n+5*n^2)*p4*p1^7+322560*(88398360-\
2162304*n+16992*n^2)*p3^3*p2+322560*(-15268464+379728*n-3024*n^2)*p3^3*p1^2+
48384*(-360840+8712*n-72*n^2)*p3^2*p1^5+90720*(-18156392+494712*n-4152*n^2)*p3*
p2^4+2903040*(5490890664-1081353497/3*n+16571821/2*n^2-257215/3*n^3+707/2*n^4)*
p6*p1^3+5225472*(222707853060-40229044660/3*n+968552685/4*n^2-13348555/6*n^3+
34965/4*n^4)*p5*p4+2612736*(-37788605820+6639656020/3*n-186801663/4*n^2+2855437
/6*n^3-8015/4*n^4)*p5*p2^2+870912*(-989068612+60367923*n-5384057/4*n^2+28385/2*
n^3-245/4*n^4)*p5*p1^4+3265920*(-39218117120+2268208700*n-43723550*n^2+424600*n
^3-1750*n^4)*p4^2*p1+217728*(167589880-9586170*n+208790*n^2-2230*n^3+10*n^4)*p4
*p1^5+967680*(-1119971928+63328230*n-1369704*n^2+14676*n^3-66*n^4)*p3^2*p1^3+
725760*(6963242106-2330666905/6*n+17003695/2*n^2-278062/3*n^3+424*n^4)*p3*p2^3+
48384*(-26591460+2880585/2*n-30678*n^2+327*n^3-3/2*n^4)*p3*p1^6+272160*(-\
1237962976+72320390*n-1682431*n^2+19366*n^3-93*n^4)*p2^4*p1+362880*(206125632-\
73651369/6*n+1167725/4*n^2-20543/6*n^3+67/4*n^4)*p2^3*p1^3+108864*(-31488480+
1841785*n-86739/2*n^2+507*n^3-5/2*n^4)*p2^2*p1^5+10368*(4152008-440633/2*n+
18847/4*n^2-103/2*n^3+1/4*n^4)*p2*p1^7+17418240*(3258272482080-1396837084496/3*
n+283345667381/12*n^2-13410469471/24*n^3+166157971/24*n^4-1111537/24*n^5+3283/
24*n^6)*p6*p1+10450944*(4377646588590-568758379490*n+612773345543/24*n^2-\
25968700357/48*n^3+311531561/48*n^4-2116139/48*n^5+2163/16*n^6)*p5*p2+10450944*
(-735752246460+185243457191/2*n-34312044139/8*n^2+1559256463/16*n^3-19601183/16
*n^4+136857/16*n^5-427/16*n^6)*p5*p1^2+8709120*(5054216900700-1906486646758/3*n
+160767180931/6*n^2-12499258715/24*n^3+143573605/24*n^4-967385/24*n^5+2995/24*n
^6)*p4*p3+4354560*(152813842488-51994172035/3*n+17970481795/24*n^2-798083665/48
*n^3+10236245/48*n^4-74575/48*n^5+245/48*n^6)*p4*p1^3+7464960*(-28961704992+
2057847553*n-49107306*n^2+497378*n^3-1953*n^4)*p7*p1^2+5806080*(205560723060-\
38423025473/3*n+248347421*n^2-7018816/3*n^3+9142*n^4)*p6*p3+13063680*(
146403306720-11341521840*n+282048096*n^2-2791404*n^3+10428*n^4)*p8*p1+7464960*(
177824044860-12139305845*n+269738244*n^2-2643934*n^3+10215*n^4)*p7*p2+27216*(
3541680-102420*n+900*n^2)*p2^5*p1+17418240*(35955556507420-257334849492293/30*n
+17321165688257/24*n^2-459829262711/16*n^3+5115801963/8*n^4-2196790291/240*n^5+
4175855/48*n^6-6149/12*n^7+23/16*n^8)*p3*p2+17418240*(-7168890261640+
4527132931780/3*n-2864734034069/24*n^2+230141429789/48*n^3-5417215163/48*n^4+
81660371/48*n^5-806869/48*n^6+611/6*n^7-7/24*n^8)*p3*p1^2+13063680*(-\
8499624924048+8526058464458/5*n-1022064085759/8*n^2+29376330187/6*n^3-\
10817647715/96*n^4+68443221/40*n^5-277527/16*n^6+2609/24*n^7-31/96*n^8)*p2^2*p1
+8709120*(1594368529144-884008537757/3*n+256072829191/12*n^2-3298552761/4*n^3+
313806485/16*n^4-3702089/12*n^5+77329/24*n^6-62/3*n^7+1/16*n^8)*p2*p1^3+
52254720*(59019071059040-82422510481430/3*n+13650706598855/3*n^2-\
173936014270177/480*n^3+255339343773/16*n^4-165319571489/384*n^5+992625015/128*
n^6-31375007/320*n^7+55141/64*n^8-1849/384*n^9+5/384*n^10)*p2*p1+4354560*(-\
1066456372716+112960499386*n-13336893422/3*n^2+2220466687/24*n^3-27869837/24*n^
4+204605/24*n^5-229/8*n^6)*p3*p2^2+1451520*(-29088678672+9135752087/3*n-\
755964595/6*n^2+67023599/24*n^3-294243/8*n^4+2231/8*n^5-23/24*n^6)*p3*p1^4+
2177280*(189403396008-58311890645/3*n+18872995135/24*n^2-832126277/48*n^3+
11097137/48*n^4-86219/48*n^5+305/48*n^6)*p2^3*p1+2177280*(-31525837560+
3235193186*n-3215392279/24*n^2+146015429/48*n^3-1997209/48*n^4+15835/48*n^5-19/
16*n^6)*p2^2*p1^3+435456*(5126246600-515189225*n+169677061/8*n^2-7703919/16*n^3
+105267/16*n^4-833/16*n^5+3/16*n^6)*p2*p1^5+26127360*(26615864944240-\
20082704268782/3*n+14650572945941/24*n^2-80749758568/3*n^3+62908765507/96*n^4-\
77418123/8*n^5+1457595/16*n^6-4165/8*n^7+45/32*n^8)*p4*p1+1161216*(-492520560+
11032602*n-80682*n^2)*p5*p3^2+435456*(97182582-5047353/2*n+39249/2*n^2)*p5*p2^3
+145152/5*(-289380+12705/2*n-105/2*n^2)*p5*p1^6+1088640*(-489312600+10701700*n-\
78500*n^2)*p4^2*p3+1866240*(-523215144+13938618*n-100074*n^2)*p7*p2^2+622080*(-\
13464864+367290*n-2730*n^2)*p7*p1^4+3483648*(3159973740-62509041*n+423801*n^2)*
p6*p5+10450944*(2545994880-83823740*n+540540*n^2)*p10*p1+5806080*(2729182170-\
159877575/2*n+1061775/2*n^2)*p9*p2+5806080*(-462659340+28903875/2*n-195195/2*n^
2)*p9*p1^2+4354560*(2853566760-69545124*n+466884*n^2)*p8*p3+2177280*(81013152-\
2376990*n+16830*n^2)*p8*p1^3+3732480*(3041909640-64621170*n+436770*n^2)*p7*p4+
5806080*(-992224033080+334127284214/3*n-27097954651/6*n^2+1105085461/12*n^3-\
4489635/4*n^4+31993/4*n^5-313/12*n^6)*p3^2*p1+3320352000*p4^2*p2*p1^3-73156608*
p5*p3*p1^5-259096320*p5*p2^2*p1^4+1981324800*p5*p4*p1^4+5303854080*p6*p2^2*p1^3
+2330173440*p6*p3*p1^4-5916906455040*p7*p5*p1+15482880*p3*p2^3*p1^4-290304*p3*
p2^2*p1^6+1257379200*p4*p2^4*p1+1451520*p4*p3*p1^6-270345600*p4*p2^3*p1^3-\
15792537600*p4*p3*p2^3+2670796800*p4*p3^2*p1^3-34618752000*p4^2*p3*p1^2+
3648685824*p5*p2^3*p1^2-43487539200*p6*p4*p1^3-81909273600*p8*p2*p1^3+
269216317440*p5*p4*p2^2+225419894784*p5*p3^2*p2-38041436160*p5*p3^2*p1^2+
3048192*p5*p2*p1^6+205535232000*p4^2*p3*p2-32332608000*p4^2*p2^2*p1+9797760*p4*
p2^2*p1^5-51840*p4*p2*p1^7+2229534720*p3^3*p2*p1^2+2082447360*p3^2*p2^3*p1-\
325140480*p3^2*p2^2*p1^3+6967296*p3^2*p2*p1^5-161118720*p3*p2^4*p1^2+
313110282240*p6*p3*p2^2-33164328960*p6*p2^3*p1-121927680*p6*p2*p1^5+
403531849728*p5^2*p2*p1+611442929664*p6*p5*p1^2-2727928627200*p6*p4*p3+
356570726400*p6*p3^2*p1-3564189941760*p6*p5*p2-79479429120*p7*p2^2*p1^2+
3657830400*p7*p2*p1^4+777706997760*p8*p2^2*p1-3936124108800*p7*p4*p2+
675653529600*p7*p4*p1^2-52951449600*p7*p3*p1^3+1307674368000*p9*p2*p1^2-\
6733804492800*p8*p4*p1-4911107604480*p8*p3*p2+844958822400*p8*p3*p1^2-\
8601591398400*p9*p3*p1-13390585528320*p10*p2*p1-5184974592*p5*p2^4+544320*(-\
14913600+356350*n-2750*n^2)*p4^2*p1^3+145152*(2080400-51926*n+406*n^2)*p6*p1^5+
10450944/5*(-542716160+11547830*n-81830*n^2)*p5^2*p1+2177280*(-16108670+408410*
n-3250*n^2)*p4*p3*p2*p1^2+14929920*(-13203062832960+2205068554436*n-\
251210315465/2*n^2+6274066951/2*n^3-38434214*n^4+492967/2*n^5-1377/2*n^6)*p7+
288*(-389952+13068*n-108*n^2)*p1^9+11612160*(-713160007560+60925182175*n-\
6313046025/4*n^2+30472585/2*n^3-216645/4*n^4)*p9+104509440/11*(-13657163520+
468473148*n-2888028*n^2)*p11+870912*(-291926443360+151461112096/3*n-84679277843
/24*n^2+810539065/6*n^3-310486765/96*n^4+1232809/24*n^5-25891/48*n^6+83/24*n^7-\
1/96*n^8)*p1^5+20901888*(-81835004170920+25470549678739*n-33631177419779/12*n^2
+6835475664385/48*n^3-357557811985/96*n^4+2632950397/48*n^5-11891743/24*n^6+
64133/24*n^7-217/32*n^8)*p5+645120*(-40192713792+2078438814*n-40927536*n^2+
409428*n^3-1746*n^4)*p3^3+34836480*(-130090379939520+240151458775766/3*n-\
3087178892238577/180*n^2+611453667956969/360*n^3-25155841636963/288*n^4+
1451308339537/576*n^5-128261253973/2880*n^6+764064349/1440*n^7-34711/8*n^8+
13013/576*n^9-11/192*n^10)*p3+20736*(-797248200+228672224/3*n-71630887/24*n^2+
3069949/48*n^3-13083/16*n^4+97/16*n^5-1/48*n^6)*p1^7+3483648*(92425900-2266075*
n+17227*n^2)*p5*p3*p2*p1+17418240*(-17149551084720+96265182565858/15*n-\
16187643236821/18*n^2+18505215935719/288*n^3-194344677079/72*n^4+421460437363/
5760*n^5-1572091891/1152*n^6+10363015/576*n^7-10501/64*n^8+1087/1152*n^9-1/384*
n^10)*p1^3-11640679464960*p11*p1^2+697426329600*p10*p1^3+26118999244800*p7*p6-\
3736212480000*p9*p2^2+32629588992000*p9*p4-29059430400*p9*p1^4+66518168371200*
p11*p2+122873838796800*p12*p1+42403520839680*p10*p3-3715891200*p3^4*p1+
57364070400*p4*p3^3+151001210880*p7*p2^3-1651527843840*p7*p3^2-2840427233280*p6
^2*p1-17418240*p7*p1^6+862202880*p8*p1^5+28028491223040*p8*p5-32659200*p4^2*p1^
5+93078720000*p4^3*p1+193536*p6*p1^7-9797760*p2^6*p1-20483850240*p5^2*p1^3-\
1286385795072*p5^2*p3-1173249100800*p5*p4^2+3265920*p2^5*p1^3+3456*p2^3*p1^7+
182891520*p3*p2^5-46448640*p3^3*p1^4-6595706880*p3^3*p2^2-217728*p2^4*p1^5+
104509440*(-21510032544000+101775560270912/3*n-1190692343026921/72*n^2+
5037184246000039/1440*n^3-1080593647649707/2880*n^4+129395024193293/5760*n^5-\
1868471453579/2304*n^6+36603172783/1920*n^7-3601940627/11520*n^8+21291407/5760*
n^9-71137/2304*n^10+191/1152*n^11-1/2304*n^12)*p1-623821027737600*p13
[3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2]
27648*p1^11+3483648*(872000-25100*n+200*n^2)*p4*p2*p1^5+23224320*(18735956-\
500496*n+3968*n^2)*p3^2*p2^2*p1+15482880*(-4128636+114244*n-916*n^2)*p3^2*p2*p1
^3+139345920*(-7263969702+1315823935/3*n-37185485/4*n^2+572125/6*n^3-1605/4*n^4
)*p4*p3*p1^2+104509440*(-6784549432+4817475995/12*n-70299855/8*n^2+1110085/12*n
^3-3185/8*n^4)*p4*p2^2*p1+69672960*(1379888052-346687615/4*n+15969285/8*n^2-\
86445/4*n^3+755/8*n^4)*p4*p2*p1^3+11612160*(-4001493+113796*n-936*n^2)*p3*p2^3*
p1^2+5806080*(851759-24834*n+206*n^2)*p3*p2^2*p1^4+774144*(-166773+4852*n-40*n^
2)*p3*p2*p1^6+119439360*(-109702494+3188922*n-22506*n^2)*p7*p2*p1^2+139345920*(
569435580-12948390*n+89250*n^2)*p6*p4*p1+92897280*(491218686-11901288*n+84000*n
^2)*p6*p3*p2+10321920*(19687380-510696*n+3960*n^2)*p3^3*p1^2+165888*(-161420+
4515*n-35*n^2)*p4*p1^7+418037760*(814605187374-390525504619/4*n+51002313515/12*
n^2-4395156455/48*n^3+54542725/48*n^4-384325/48*n^5+405/16*n^6)*p4*p2*p1+
278691840*(-171334172397+230134880393/12*n-19646546909/24*n^2+435917047/24*n^3-\
2840981/12*n^4+42283/24*n^5-47/8*n^6)*p3*p2*p1^2+92897280*(-6882958024+
391845649*n-16772009/2*n^2+88009*n^3-763/2*n^4)*p3^2*p2*p1+4608*(-4710+121*n-n^
2)*p2*p1^9+69672960*(1332854002-239654536/3*n+7316953/4*n^2-121297/6*n^3+365/4*
n^4)*p3*p2^2*p1^2+23224320*(-270968440+16962350*n-1611655/4*n^2+9093/2*n^3-83/4
*n^4)*p3*p2*p1^4+278691840*(32872734048-4378682847/2*n+196260729/4*n^2-983661/2
*n^3+7791/4*n^4)*p6*p2*p1+222953472*(36527375360-4496078961/2*n+182251637/4*n^2
-890831/2*n^3+7147/4*n^4)*p5*p3*p1+167215104*(-6830190304+5267133287/12*n-\
79368999/8*n^2+1238647/12*n^3-3437/8*n^4)*p5*p2*p1^2+139345920*(35652244236-\
1978328255*n+158988615/4*n^2-789925/2*n^3+6535/4*n^4)*p4*p3*p2+6967296*(-\
273658560+214271575/12*n-3421195/8*n^2+56465/12*n^3-165/8*n^4)*p4*p1^5+30965760
*(1406656896-85260287*n+3817607/2*n^2-20575*n^3+181/2*n^4)*p3^2*p1^3+23224320*(
-6382941804+361135044*n-31609563/4*n^2+169617/2*n^3-1503/4*n^4)*p3*p2^3+1548288
*(53384790-3415658*n+330517/4*n^2-1871/2*n^3+17/4*n^4)*p3*p1^6+4845893713920*p6
*p3*p2*p1^2+1548288*(850740-23952*n+192*n^2)*p3^2*p1^5-406035431424*p5*p3*p2*p1
^3+2903040*(17775855-486810*n+3942*n^2)*p3*p2^4+2688651657216*p5*p3*p2^2*p1+
4177242316800*p5*p4*p2*p1^2-23726151106560*p5*p4*p3*p1-32305958092800*p6*p4*p2*
p1+27648*(28239-762*n+6*n^2)*p3*p1^8-39036604907520*p7*p3*p2*p1-366131404800*p4
*p3*p2^2*p1^2+26127360000*p4*p3*p2*p1^4+2092975718400*p4*p3^2*p2*p1+870912*(-\
3862350+112185*n-945*n^2)*p2^5*p1+92897280*(-110981178+2855412*n-20412*n^2)*p6*
p3*p1^2+1451520*(845154-25272*n+216*n^2)*p2^4*p1^3+69672960*(-102572568+2787120
*n-20328*n^2)*p6*p2^2*p1+580608*(-172866+5229*n-45*n^2)*p2^3*p1^5+82944*(31742-\
936*n+8*n^2)*p2^2*p1^7+46448640*(22370544-644322*n+4746*n^2)*p6*p2*p1^3+
83607552*(497878500-22661725/2*n+160825/2*n^2)*p5*p4*p2+418037760*(-\
135975634080+43854606939/4*n-2241935553/8*n^2+10999989/4*n^3-80223/8*n^4)*p8*p1
+83607552*(-113392370+5438855/2*n-39095/2*n^2)*p5*p4*p1^2+238878720*(-\
154672309176+10761546807*n-240779011*n^2+2330482*n^3-8778*n^4)*p7*p2+37158912*(
22205694-585137*n+4361*n^2)*p5*p3*p1^3+41803776*(21012922-1158897/2*n+8841/2*n^
2)*p5*p2^2*p1^2+13934592*(-4467820+256347/2*n-1967/2*n^2)*p5*p2*p1^4+238878720*
(30008073084-2263716697*n+56396241*n^2-569162*n^3+2178*n^4)*p7*p1^2+52254720*(-\
100675850+2454175*n-18175*n^2)*p4^2*p2*p1+46448640*(-96292460+2337660*n-17420*n
^2)*p4*p3^2*p1+185794560*(-178954060824+11386841676*n-445447905/2*n^2+2081415*n
^3-15897/2*n^4)*p6*p3+34836480*(-90108705+2263420*n-17200*n^2)*p4*p3*p2^2+
92897280*(-6466294296+920394489/2*n-44858667/4*n^2+232827/2*n^3-1869/4*n^4)*p6*
p1^3+11612160*(-4370705+118740*n-920*n^2)*p4*p3*p1^4+17418240*(19351500-525600*
n+4140*n^2)*p4*p2^3*p1+17418240*(-4246800+119875*n-955*n^2)*p4*p2^2*p1^3+
167215104*(-193824370740+47676782125/4*n-1735776595/8*n^2+7922005/4*n^3-60865/8
*n^4)*p5*p4+209018880*(528911526-15555969*n+105105*n^2)*p8*p2*p1+159252480*(
545739216-13784364*n+94380*n^2)*p7*p3*p1+10321920*(-86637180+2154928*n-16480*n^
2)*p3^3*p2+418037760*(6963160730320-28836277537221/20*n+16050432708467/144*n^2-\
105085622309/24*n^3+58771839719/576*n^4-186183229/120*n^5+4490071/288*n^6-575/6
*n^7+53/192*n^8)*p2^2*p1+278691840*(-1427324722164+5572403172271/20*n-\
1024383357209/48*n^2+2601126671/3*n^3-1368261519/64*n^4+5145403/15*n^5-115291/
32*n^6+275/12*n^7-13/192*n^8)*p2*p1^3+1672151040*(-44439909108330+
422086868128477/20*n-322085596389221/90*n^2+42126616033829/144*n^3-951572032385
/72*n^4+523196140361/1440*n^5-9496757029/1440*n^6+11988113/144*n^7-26069/36*n^8
+127/32*n^9-1/96*n^10)*p2*p1+46448640*(32983877007-15029973233/4*n+1343049757/8
*n^2-31445729/8*n^3+106491/2*n^4-3249/8*n^5+11/8*n^6)*p3*p1^4+69672960*(-\
173621303880+73552478131/4*n-3036884583/4*n^2+269451941/16*n^3-3569127/16*n^4+
27183/16*n^5-93/16*n^6)*p2^3*p1+69672960*(33660450068-44023691537/12*n+
636668561/4*n^2-59317069/16*n^3+2449553/48*n^4-19189/48*n^5+67/48*n^6)*p2^2*p1^
3+13934592*(-6554985180+8703267929/12*n-390070621/12*n^2+37679999/48*n^3-533309
/48*n^4+4253/48*n^5-5/16*n^6)*p2*p1^5+836075520*(-21159320322250+10942683625951
/2*n-9260842069957/18*n^2+373936609209/16*n^3-167288306017/288*n^4+68933143/8*n
^5-11609915/144*n^6+7265/16*n^7-115/96*n^8)*p4*p1+557383680*(-28091284407120+
34121825750992/5*n-2336464967239/4*n^2+1131018118421/48*n^3-50576669141/96*n^4+
1804562479/240*n^5-848521/12*n^6+1226/3*n^7-107/96*n^8)*p3*p2+557383680*(
6002314943268-13175751902473/10*n+1308474919243/12*n^2-73101579421/16*n^3+
3546740915/32*n^4-406255213/240*n^5+401617/24*n^6-301/3*n^7+9/32*n^8)*p3*p1^2+
8709120*(1259687904-299820069/4*n+13948551/8*n^2-78795/4*n^3+729/8*n^4)*p2^4*p1
+11612160*(-261515232+65032515/4*n-3139293/8*n^2+18177/4*n^3-171/8*n^4)*p2^3*p1
^3+3483648*(52730944-40437667/12*n+666059/8*n^2-11717/12*n^3+37/8*n^4)*p2^2*p1^
5+331776*(-10224424+2623119/4*n-129329/8*n^2+749/4*n^3-7/8*n^4)*p2*p1^7+
557383680*(-2779938079380+823003439013/2*n-21593471613*n^2+4181713221/8*n^3-\
51798285/8*n^4+341943/8*n^5-987/8*n^6)*p6*p1+334430208*(-3598158316390+
2860442353727/6*n-173830936859/8*n^2+7401516743/16*n^3-264627769/48*n^4+1768403
/48*n^5-5285/48*n^6)*p5*p2+334430208*(678913128300-270115651900/3*n+
105181991149/24*n^2-4948341991/48*n^3+62678971/48*n^4-433561/48*n^5+441/16*n^6)
*p5*p1^2+278691840*(-4152885766645+6393139984637/12*n-182601468743/8*n^2+
3568863405/8*n^3-61289615/12*n^4+815075/24*n^5-2465/24*n^6)*p4*p3+139345920*(-\
155055577402+226013505377/12*n-3470221997/4*n^2+322348665/16*n^3-12611885/48*n^
4+91585/48*n^5-295/48*n^6)*p4*p1^3+185794560*(879140533248-102508363653*n+
4286657842*n^2-354135245/4*n^3+4319263/4*n^4-30439/4*n^5+97/4*n^6)*p3^2*p1+
139345920*(900286357631-1167286338515/12*n+31032247797/8*n^2-647597601/8*n^3+
6051481/6*n^4-174515/24*n^5+569/24*n^6)*p3*p2^2+83607552*(33767488944-\
8044415179/4*n+340479829/8*n^2-1711499/4*n^3+14007/8*n^4)*p5*p2^2+27869184*(
1353455264-366702755/4*n+17618293/8*n^2-94115/4*n^3+791/8*n^4)*p5*p1^4+
104509440*(38039042720-27448255675/12*n+357630075/8*n^2-5187125/12*n^3+13925/8*
n^4)*p4^2*p1+69672960*(-113376978+3649074*n-24882*n^2)*p8*p1^3+119439360*(-\
2820706350+61218850*n-404250*n^2)*p7*p4+19906560*(23091090-716562*n+5082*n^2)*
p7*p1^4+111476736*(-2929809960+59221113*n-392343*n^2)*p6*p5+334430208*(-\
2598106940+89047530*n-559130*n^2)*p10*p1+185794560*(-2517650850+149788925/2*n-\
968825/2*n^2)*p9*p2+185794560*(546194220-36377055/2*n+238095/2*n^2)*p9*p1^2+
139345920*(-2646220005+65836914*n-431574*n^2)*p8*p3+17712414720*p3^2*p2^2*p1^3-\
706019328*p3^2*p2*p1^5+6897623040*p3*p2^4*p1^2-975421440*p3*p2^3*p1^4+35610624*
p3*p2^2*p1^6-6855819264000*p4^2*p3*p2+1626863616000*p4^2*p3*p1^2+1227985920000*
p4^2*p2^2*p1-185504256000*p4^2*p2*p1^3-158235033600*p4*p3^2*p1^3+521502105600*
p4*p3*p2^3-317399040*p4*p3*p1^6-406425600*p5*p2*p1^6+4644864/5*(878430-50785/2*
n+385/2*n^2)*p5*p1^6+37158912*(471889740-10791122*n+77042*n^2)*p5*p3^2+13934592
*(-93539376+4898043/2*n-36855/2*n^2)*p5*p2^3+17418240*(22308750-568250*n+4250*n
^2)*p4^2*p1^3+4644864*(-4581360+137088*n-1008*n^2)*p6*p1^5+334430208/5*(
579239780-12698910*n+87710*n^2)*p5^2*p1+59719680*(493828962-13306018*n+92730*n^
2)*p7*p2^2+16752863232*p5*p2^2*p1^4-15239984578560*p5^2*p2*p1-175575859200*p6*
p3*p1^4+8193540096*p5*p3*p1^5-248314429440*p7*p2*p1^4-8811713433600*p5*p4*p2^2-\
151434178560*p5*p4*p1^4-7506323177472*p5*p3^2*p2+1780729380864*p5*p3^2*p1^2-\
156701454336*p5*p2^3*p1^2-27677778444288*p6*p5*p1^2+89582705049600*p6*p4*p3+
2477570457600*p6*p4*p1^3-13765147361280*p6*p3^2*p1-10226318376960*p6*p3*p2^2+
1220252221440*p6*p2^3*p1-276044267520*p6*p2^2*p1^3+11119804416*p6*p2*p1^5+
2992035594240*p7*p3*p1^3+3433045524480*p7*p2^2*p1^2+115152012509184*p6*p5*p2-\
28514773647360*p8*p2^2*p1+4363896176640*p8*p2*p1^3+221165385154560*p7*p5*p1+
127113338880000*p7*p4*p2-30546616320000*p7*p4*p1^2+487799901388800*p10*p2*p1+
320417582284800*p9*p3*p1-56790429696000*p9*p2*p1^2+251521824153600*p8*p4*p1+
158295850352640*p8*p3*p2-38019698196480*p8*p3*p1^2-331776*p3*p2*p1^8-\
46441382400*p4*p2^4*p1+13847500800*p4*p2^3*p1^3-827366400*p4*p2^2*p1^5+12441600
*p4*p2*p1^7-104044953600*p3^3*p2*p1^2-79148482560*p3^2*p2^3*p1+3344302080*(
15460335891000-98308146882201/4*n+17461290852878519/1440*n^2-5001212932621757/
1920*n^3+364224050622553/1280*n^4-400517064687269/23040*n^5+29483778386837/
46080*n^6-351366223661/23040*n^7+11576031577/46080*n^8-68140871/23040*n^9+
224851/9216*n^10-197/1536*n^11+1/3072*n^12)*p1+3344302080/11*(12270107850-\
429372944*n+2586584*n^2)*p11+371589120*(603689306220-210316374125/4*n+
11022592295/8*n^2-52557505/4*n^3+365365/8*n^4)*p9+34836480*(469002975-10476350*
n+75050*n^2)*p4^2*p3+477757440*(10597283146450-3603076430899/2*n+416962051121/4
*n^2-5248158707/2*n^3+127644099/4*n^4-201432*n^5+550*n^6)*p7+20643840*(
36092115108-1907012900*n+37827133*n^2-375718*n^3+1565*n^4)*p3^3+69672960*(
20402435-536030*n+4130*n^2)*p4*p3*p2*p1^2+111476736*(-100597798+2527827*n-18655
*n^2)*p5*p3*p2*p1+1114767360*(96102273342075-478685782967081/8*n+
6237923486939357/480*n^2-208781614620289/160*n^3+26070837445403/384*n^4-\
63050253511/32*n^5+11119003597/320*n^6-65716791/160*n^7+1272443/384*n^8-541/32*
n^9+1/24*n^10)*p3+27869184*(291584204340-218084417731/4*n+198522510547/48*n^2-\
685237805/4*n^3+280757449/64*n^4-1761139/24*n^5+76651/96*n^6-125/24*n^7+1/64*n^
8)*p1^5+1741824*p5*p1^8+668860416*(62748104534115-158634949564553/8*n+
212743104801859/96*n^2-10953852625205/96*n^3+1153312910429/384*n^4-2113062127/
48*n^5+75474637/192*n^6-199985/96*n^7+1981/384*n^8)*p5+663552*(1275044400-\
566198635/4*n+25757949/4*n^2-2529717/16*n^3+36107/16*n^4-287/16*n^5+1/16*n^6)*
p1^7+9216*(1865664-461645/4*n+21503/8*n^2-115/4*n^3+1/8*n^4)*p1^9+557383680*(
13427443135230-104135823581471/20*n+45679670225459/60*n^2-27375506274101/480*n^
3+241182687307/96*n^4-136250970989/1920*n^5+2618038237/1920*n^6-17568373/960*n^
7+10751/64*n^8-123/128*n^9+1/384*n^10)*p1^3+3715891200*p3^3*p1^4+222127718400*
p3^3*p2^2-5957038080*p3*p2^5+5308416*p3^2*p1^7-3612107520000*p4^3*p1-497664*p2^
3*p1^7-1946714112000*p4*p3^3+3744921600*p4^2*p1^5+148635648000*p3^4*p1-23040*p4
*p1^9-37939992330240*p10*p1^3+352719360*p2^6*p1-1344159728271360*p10*p3+
15676416*p2^4*p1^5-156764160*p2^5*p1^3+4608*p2^2*p1^9-1035844153344000*p9*p4+
118396422144000*p9*p2^2+2092278988800*p9*p1^4+505538079621120*p11*p1^2-\
2078323216220160*p11*p2-4423458196684800*p12*p1-4836219125760*p7*p2^3-83607552*
p6*p1^7+106188279644160*p6^2*p1+38593768550400*p5*p4^2+42256817455104*p5^2*p3+
54136925061120*p7*p3^2-829480556298240*p7*p6-89669099520*p8*p1^5-\
890055481835520*p8*p5+3065610240*p7*p1^6+1168945053696*p5^2*p1^3+167565210624*
p5*p2^4+19130511517286400*p13
[3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
20437401600*(72339517648-8477939978*n+4538025547/12*n^2-209080049/24*n^3+937723
/8*n^4-21487/24*n^5+73/24*n^6)*p3*p2*p1^2+30656102400*(-321495164544+
119832862144/3*n-43243926791/24*n^2+1921622605/48*n^3-24467245/48*n^4+176035/48
*n^5-565/48*n^6)*p4*p2*p1+6131220480*(-218939840+5137605*n-37065*n^2)*p5*p4*p2+
6131220480*(59016440-1478105*n+10885*n^2)*p5*p4*p1^2+15328051200*(-247072176+
15131259/2*n-104247/2*n^2)*p8*p2*p1+11678515200*(-254336544+6670356*n-46596*n^2
)*p7*p3*p1+5109350400*(50143296-1416429*n+10521*n^2)*p6*p2^2*p1+3406233600*(-\
13131720+402213*n-3045*n^2)*p6*p2*p1^3+56770560*(155688-5023*n+43*n^2)*p3*p2*p1
^6+8758886400*(57087888-1745414*n+12606*n^2)*p7*p2*p1^2+10218700800*(-265349280
+6254535*n-43995*n^2)*p6*p4*p1+6812467200*(-216201888+5403846*n-38766*n^2)*p6*
p3*p2+6812467200*(57718416-1554630*n+11382*n^2)*p6*p3*p1^2+1277337600*(-9888480
+556875/2*n-4455/2*n^2)*p4*p2^3*p1+1277337600*(2625020-156375/2*n+1275/2*n^2)*
p4*p2^2*p1^3+5109350400*(-11128600+305425*n-2405*n^2)*p4*p3*p2*p1^2+8174960640*
(49049728-1278858*n+9618*n^2)*p5*p3*p2*p1+255467520*(-683440+42935/2*n-355/2*n^
2)*p4*p2*p1^5+1703116800*(-9551680+264378*n-2130*n^2)*p3^2*p2^2*p1+1135411200*(
2547960-74266*n+610*n^2)*p3^2*p2*p1^3+851558400*(2289384-67851*n+567*n^2)*p3*p2
^3*p1^2+425779200*(-603376+18723*n-159*n^2)*p3*p2^2*p1^4+16349921280*(-\
15599837904+2993628106/3*n-20867224*n^2+627344/3*n^3-854*n^4)*p5*p3*p1+
2724986880*(-13043688+363290*n-2786*n^2)*p5*p3*p1^3+3832012800*(49071760-\
2480625/2*n+18725/2*n^2)*p4^2*p2*p1+3406233600*(46799200-1177870*n+8950*n^2)*p4
*p3^2*p1+2554675200*(41381360-1071765*n+8265*n^2)*p4*p3*p2^2+851558400*(2941360
-85465*n+685*n^2)*p4*p3*p1^4-57682522275840*p5^2*p1^3-1465136065806336*p5^2*p3+
6137351700480*p8*p1^5-1336912625664000*p5*p4^2-1880708087808000*p7*p3^2+
27581663202508800*p7*p6-3965673406464000*p6^2*p1-269773701120*p7*p1^6+
44834230936535040*p10*p3+29606584603115520*p8*p5+61312204800*(7584102552796-\
2012189676156*n+2338402367905/12*n^2-27405276310/3*n^3+3742875877/16*n^4-\
28452263/8*n^5+407785/12*n^6-4675/24*n^7+25/48*n^8)*p4*p1+34486071459840000*p9*
p4+1788599638425600*p10*p1^3-116901937152000*p9*p1^4-4150018768896000*p9*p2^2+
69651913192243200*p11*p2+158589167940403200*p12*p1-6055526400000*p3^4*p1-\
20595995836416000*p11*p1^2+40874803200*(9949474642536-2466105906512*n+
3883712505737/18*n^2-53440250729/6*n^3+14666759837/72*n^4-8901968/3*n^5+1022527
/36*n^6-333/2*n^7+11/24*n^8)*p3*p2-186695663616000*p5*p4*p2*p1^2+40874803200*(-\
2241423002804+3059564811439/6*n-1053754857199/24*n^2+45991751339/24*n^3-\
1544905391/32*n^4+9133403/12*n^5-371189/48*n^6+1139/24*n^7-13/96*n^8)*p3*p1^2+
925896042086400*p5*p4*p3*p1+30656102400*(-2565403524956+8215157445059/15*n-\
43765936600*n^2+21324366727/12*n^3-170675635/4*n^4+79938673/120*n^5-54785/8*n^6
+343/8*n^7-1/8*n^8)*p2^2*p1+13624934400*(-346673179200+125700503558/3*n-\
10887914203/6*n^2+154401357/4*n^3-5795347/12*n^4+41713/12*n^5-45/4*n^6)*p3^2*p1
+1532314622361600*p7*p3*p2*p1-216881705779200*p6*p3*p2*p1^2-227082240000*p3^3*
p1^4-8402042880000*p3^3*p2^2+1266097029120000*p6*p4*p2*p1+234519183360*p3*p2^5-\
648806400*p3^2*p1^7-15519651840*p2^6*p1-270336*p3*p1^10-1149603840*p2^4*p1^5+
8622028800*p2^5*p1^3+6144*p2*p1^11-1013760*p2^2*p1^9-340623360*p5*p1^8-\
6373403688960*p5*p2^4-1600929792000*p4*p3*p2*p1^4-268240896000*p4^2*p1^5+
140826470400000*p4^3*p1-85496463360000*p4*p3^2*p2*p1+54743040*p2^3*p1^7+
70395494400000*p4*p3^3+17090777088000*p4*p3*p2^2*p1^2-110214819348480*p5*p3*p2^
2*p1+6144*(-2068+133/2*n-1/2*n^2)*p1^11+10137600*p4*p1^9+21058698608640*p5*p3*
p2*p1^3+675840*(-1905696+284013/2*n-16063/4*n^2+103/2*n^3-1/4*n^4)*p1^9+
1703116800*(154766432-31168583/3*n+522983/2*n^2-9259/3*n^3+29/2*n^4)*p3*p2*p1^4
+10218700800*(-345474604416+115184563480/3*n-6300770761/4*n^2+809181673/24*n^3-\
3433947/8*n^4+25181/8*n^5-83/8*n^6)*p3*p2^2+1021870080*(3003280-92739*n+735*n^2
)*p5*p2*p1^4+3406233600*(-15464203440+5634115904/3*n-1072979015/12*n^2+17736343
/8*n^3-756509/24*n^4+6011/24*n^5-7/8*n^6)*p3*p1^4+5109350400*(71250405888-\
7838323614*n+2683563783/8*n^2-122822469/16*n^3+1670373/16*n^4-12987/16*n^5+45/
16*n^6)*p2^3*p1+5109350400*(-15332055480+5294996416/3*n-645291791/8*n^2+
94379567/48*n^3-450357/16*n^4+3643/16*n^5-13/16*n^6)*p2^2*p1^3+3065610240*(-\
11483976+331587*n-2583*n^2)*p5*p2^2*p1^2+12262440960*(3185902720-215169646*n+
5068121*n^2-54350*n^3+231*n^4)*p5*p2*p1^2+10218700800*(-14581094640+2503312495/
3*n-34424755/2*n^2+523895/3*n^3-1465/2*n^4)*p4*p3*p2+10218700800*(3388029600-\
214862700*n+4729545*n^2-50000*n^3+215*n^4)*p4*p3*p1^2+40874803200*(-\
4731653610972+9454352641558/5*n-13753882178257/48*n^2+64368813312701/2880*n^3-\
148005017293/144*n^4+349016545703/11520*n^5-1395469435/2304*n^6+48533983/5760*n
^7-92033/1152*n^8+361/768*n^9-1/768*n^10)*p1^3+7664025600*(3027058864-372629815
/2*n+16850125/4*n^2-90905/2*n^3+795/4*n^4)*p4*p2^2*p1+1021870080*(3352178344-\
399060204*n+461413577/24*n^2-23826499/48*n^3+119329/16*n^4-3005/48*n^5+11/48*n^
6)*p2*p1^5+40874803200*(1060283702016-162100593032*n+35208683111/4*n^2-\
1759671333/8*n^3+22334585/8*n^4-150395/8*n^5+441/8*n^6)*p6*p1+24524881920*(
1340277992064-545784543472/3*n+34019308377/4*n^2-4452141217/24*n^3+18051387/8*n
^4-122645/8*n^5+371/8*n^6)*p5*p2+5109350400*(-708727728+141781750/3*n-2286115/2
*n^2+38525/3*n^3-115/2*n^4)*p4*p2*p1^3+6812467200*(3066890528-544414994/3*n+
4008100*n^2-129364/3*n^3+190*n^4)*p3^2*p2*p1+24524881920*(-274671923504+
38047773382*n-23247329879/12*n^2+1139634289/24*n^3-4965795/8*n^4+105695/24*n^5-\
329/24*n^6)*p5*p1^2+1513881600*(-14726517120+802187580*n-16333744*n^2+165680*n^
3-700*n^4)*p3^3+20437401600*(1544581241280-202866719740*n+106870040665/12*n^2-\
4275816635/24*n^3+49974835/24*n^4-338005/24*n^5+345/8*n^6)*p4*p3+5109350400*(-\
652002736+40970600*n-974897*n^2+11096*n^3-51*n^4)*p3*p2^2*p1^2+10218700800*(
67210990344-8617630890*n+10063032047/24*n^2-491039725/48*n^3+6660845/48*n^4-\
49955/48*n^5+55/16*n^6)*p4*p1^3+20437401600*(-14057971200+973678097*n-45147585/
2*n^2+231910*n^3-1869/2*n^4)*p6*p2*p1+113541120*(-667120+20402*n-170*n^2)*p3^2*
p1^5+212889600*(-8538480+240759*n-1971*n^2)*p3*p2^4+2027520*(-39088+1295*n-11*n
^2)*p3*p1^8+2724986880*(-206902080+4879052*n-35420*n^2)*p5*p3^2+1021870080*(
43092000-1163943*n+8883*n^2)*p5*p2^3+2554675200*(-205475760+4732175*n-34475*n^2
)*p4^2*p3+1277337600*(-13115700+704725/2*n-5425/2*n^2)*p4^2*p1^3+4379443200*(-\
218133600+6068766*n-42966*n^2)*p7*p2^2+1459814400*(-14588640+493878*n-3630*n^2)
*p7*p1^4+8174960640*(1233783936-25692198*n+173166*n^2)*p6*p5+340623360*(3362016
-111993*n+861*n^2)*p6*p1^5+4904976384*(-269936688+6131034*n-43218*n^2)*p5^2*p1+
24524881920*(1160423264-41368327*n+264979*n^2)*p10*p1+13624934400*(1066734240-\
32727955*n+215215*n^2)*p9*p2+13624934400*(-270195640+9493055*n-63635*n^2)*p9*p1
^2+10218700800*(1116395280-28633605*n+190905*n^2)*p8*p3+5109350400*(62893116-\
4339335/2*n+30459/2*n^2)*p8*p1^3+8758886400*(1188374880-26577210*n+178530*n^2)*
p7*p4+122624409600*(15174238965840-220320160824953/30*n+61160082693787/48*n^2-\
308044734700873/2880*n^3+1432552225753/288*n^4-540311917601/3840*n^5+
30178378459/11520*n^6-21644051/640*n^7+345529/1152*n^8-3847/2304*n^9+17/3840*n^
10)*p2*p1+20437401600*(561259397814-2291966618999/20*n+1326421473799/144*n^2-\
18852317065/48*n^3+5833846333/576*n^4-2536357/15*n^5+529865/288*n^6-193/16*n^7+
7/192*n^8)*p2*p1^3+10218700800*p6*p1^7+176894469734400*p7*p2^3-50295168000000*
p4^2*p2^2*p1+9611965440000*p4^2*p2*p1^3-79351617945600*p5*p3^2*p1^2-\
587507171328*p5*p3*p1^5+7339070914560*p5*p2^3*p1^2-1030045040640*p5*p2^2*p1^4+
255467520*(-33832912+4690711/2*n-248441/4*n^2+1537/2*n^3-15/4*n^4)*p2^2*p1^5+
2043740160*(-727939296+159493267/3*n-2733059/2*n^2+45917/3*n^3-133/2*n^4)*p5*p1
^4+756940800*(-10711600+290060*n-2300*n^2)*p3^3*p1^2+24330240*(8051960-1746863/
3*n+16036*n^2-610/3*n^3+n^4)*p2*p1^7+851558400*(141438984-9300312*n+470043/2*n^
2-2817*n^3+27/2*n^4)*p2^3*p1^3+113541120*(-36525984+2590822*n-68764*n^2+838*n^3
-4*n^4)*p3*p1^6+638668800*(-587601792+72712737/2*n-3491667/4*n^2+20187/2*n^3-\
189/4*n^4)*p2^4*p1+1703116800*(2722507440-159105627*n+7152381/2*n^2-39159*n^3+
351/2*n^4)*p3*p2^3+510935040*(164887536-23515625/2*n+1219215/4*n^2-7115/2*n^3+
65/4*n^4)*p4*p1^5+337920*(8880-593/2*n+5/2*n^2)*p2*p1^9+68124672*(-767928+25319
*n-203*n^2)*p5*p1^6+6131220480*(-13846555072+850900563*n-37005393/2*n^2+189861*
n^3-1575/2*n^4)*p5*p2^2+7664025600*(-16243542560+2030388865/2*n-81811235/4*n^2+
405475/2*n^3-3325/4*n^4)*p4^2*p1+2270822400*(-722786016+46468028*n-1089535*n^2+
12186*n^3-55*n^4)*p3^2*p1^3+63866880*(2063664-123849/2*n+1053/2*n^2)*p2^5*p1+
106444800*(-547668+34317/2*n-297/2*n^2)*p2^4*p1^3+42577920*(142560-9261/2*n+81/
2*n^2)*p2^3*p1^5+6082560*(-36196+2409/2*n-21/2*n^2)*p2^2*p1^7+30656102400*(
55857296352-9348314651/2*n+494699985/4*n^2-2484625/2*n^3+18447/4*n^4)*p8*p1+
17517772800*(61173153888-4377824446*n+100602193*n^2-993102*n^3+3795*n^4)*p7*p2+
17517772800*(-13342949664+1057920424*n-27589166*n^2+286880*n^3-1122*n^4)*p7*p1^
2+13624934400*(70570352160-4614130710*n+92603343*n^2-883176*n^3+3423*n^4)*p6*p3
+6812467200*(3144187872-238169148*n+6142584*n^2-66213*n^3+273*n^4)*p6*p1^3+
12262440960*(76381779936-14474395775/3*n+180130495/2*n^2-2517685/3*n^3+6545/2*n
^4)*p5*p4+12165120*(173740-11435/2*n+95/2*n^2)*p4*p1^7+756940800*(39681600-\
1017580*n+7900*n^2)*p3^3*p2+8174960640000*p4*p3^2*p1^3-19773186048000*p4*p3*p2^
3+28952985600*p4*p3*p1^6+1983066624000*p4*p2^4*p1-747242496000*p4*p2^3*p1^3+
61312204800*p4*p2^2*p1^5-1520640000*p4*p2*p1^7+4844421120000*p3^3*p2*p1^2+
3372171264000*p3^2*p2^3*p1-953745408000*p3^2*p2^2*p1^3+52228915200*p3^2*p2*p1^5
-333385113600*p3*p2^4*p1^2+61312204800*p3*p2^3*p1^4-3235921920*p3*p2^2*p1^6+
37196070912*p5*p2*p1^6+248569896960000*p4^2*p3*p2-72425041920000*p4^2*p3*p1^2-\
4428142608384000*p7*p4*p2+1300694630400000*p7*p4*p1^2-147990144614400*p7*p3*p1^
3-154349096140800*p7*p2^2*p1^2+14644858060800*p7*p2*p1^4-4008935298170880*p6*p5
*p2-18362956287836160*p10*p2*p1-12001932214272000*p9*p3*p1+2435457024000000*p9*
p2*p1^2+56770560*p3*p2*p1^8-801146142720*p6*p2*p1^5+14377712025600*p6*p2^2*p1^3
-50214695731200*p6*p2^3*p1+272389688524800*p5*p3^2*p2+537912410112000*p6*p3^2*
p1+372532956364800*p6*p3*p2^2+10300450406400*p6*p3*p1^4+597014105554944*p5^2*p2
*p1+320601518899200*p5*p4*p2^2+8869832294400*p5*p4*p1^4+1177684829798400*p6*p5*
p1^2-3107302539264000*p6*p4*p3-122317848576000*p6*p4*p1^3-9403299569664000*p8*
p4*p1-5523616530432000*p8*p3*p2+1622014377984000*p8*p3*p1^2+1124450507980800*p8
*p2^2*p1-216999220838400*p8*p2*p1^3-8261549823098880*p7*p5*p1+35035545600*(-\
3852189204864+668151175736*n-78993357089/2*n^2+4061227419/4*n^3-50272387/4*n^4+
322245/4*n^5-891/4*n^6)*p7+22295347200*(-4997280288+179574434*n-1100138*n^2)*
p11+48660480*(-743705424+272432726/3*n-109394713/24*n^2+1974121/16*n^3-92875/48
*n^4+805/48*n^5-1/16*n^6)*p1^7-612176368553164800*p13+245248819200*(-\
5059746291600+243147300312239/30*n-582679926822011/144*n^2+282486941165767/320*
n^3-62901633128693/640*n^4+14146816503833/2304*n^5-593065192193/2560*n^6+
21731620607/3840*n^7-2195198869/23040*n^8+4389013/3840*n^9-73561/7680*n^10+587/
11520*n^11-1/7680*n^12)*p1+49049763840*(-21826870977912+35052211293352/5*n-\
14362803041023/18*n^2+125675464213/3*n^3-80930998837/72*n^4+1005668341/60*n^5-\
2735971/18*n^6+3265/4*n^7-49/24*n^8)*p5+2043740160*(-123732246152+735737448737/
30*n-15843181413/8*n^2+2098641149/24*n^3-228765341/96*n^4+5073107/120*n^5-7777/
16*n^6+10/3*n^7-1/96*n^8)*p1^5+81749606400*(-32271689752848+20335219254195*n-\
179279007761687/40*n^2+131784407215595/288*n^3-3489933457237/144*n^4+
824917457417/1152*n^5-73981788949/5760*n^6+88836097/576*n^7-726703/576*n^8+833/
128*n^9-31/1920*n^10)*p3+27249868800*(-231302687616+20626223475*n-1106434745/2*
n^2+5371145*n^3-37895/2*n^4)*p9
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
1062744883200*(112199026-14891355/2*n+751203/4*n^2-4557/2*n^3+45/4*n^4)*p3*p2^2
*p1^2+354248294400*(-29422982+4224605/2*n-228449/4*n^2+1459/2*n^3-15/4*n^4)*p3*
p2*p1^4+6376469299200*(45790627480-70738501091/12*n+1106208405/4*n^2-307664965/
48*n^3+1366105/16*n^4-10325/16*n^5+35/16*n^6)*p4*p2*p1+1062744883200*(124662135
-35248935/4*n+1813295/8*n^2-10885/4*n^3+105/8*n^4)*p4*p2*p1^3+4250979532800*(-\
10857294668+7969894703/6*n-62064134*n^2+36036139/24*n^3-170363/8*n^4+1379/8*n^5
-5/8*n^6)*p3*p2*p1^2+708496588800*(-8188000+217350*n-1750*n^2)*p4*p3^2*p1+
531372441600*(-7078050+193095*n-1575*n^2)*p4*p3*p2^2+354248294400*(1778400-\
52290*n+450*n^2)*p3^2*p2^2*p1+236165529600*(-536200+16830*n-150*n^2)*p3^2*p2*p1
^3+177124147200*(-468990+14931*n-135*n^2)*p3*p2^3*p1^2+11808276480*(-42550+1539
*n-15*n^2)*p3*p2*p1^6+4250979532800*(2156730282-311586891/2*n+15124263/4*n^2-\
81543/2*n^3+693/4*n^4)*p6*p2*p1+3400783626240*(2387121324-159121135*n+6957897/2
*n^2-36579*n^3+315/2*n^4)*p5*p3*p1+2429131161600*(42368040-1166308*n+8580*n^2)*
p7*p3*p1+1821848371200*(-10347324+335478*n-2574*n^2)*p7*p2*p1^2+2125489766400*(
44151030-1091475*n+8085*n^2)*p6*p4*p1+1416993177600*(-10423980+297066*n-2310*n^
2)*p6*p3*p1^2+1062744883200*(-8844066+264033*n-2079*n^2)*p6*p2^2*p1+
1275293859840*(35490210-872235*n+6615*n^2)*p5*p4*p2+1275293859840*(-10650990+
281925*n-2205*n^2)*p5*p4*p1^2+566797271040*(2572080-76518*n+630*n^2)*p5*p3*p1^3
+637646929920*(2206890-67959*n+567*n^2)*p5*p2^2*p1^2+3188234649600*(41333175-\
2660229/2*n+19305/2*n^2)*p8*p2*p1+4820610790195200*p5*p3*p2^2*p1+
8436068882841600*p5*p4*p2*p1^2+8501959065600*(302591468588-852678478505/12*n+
913381316537/144*n^2-13827656723/48*n^3+4361399831/576*n^4-499153/4*n^5+383035/
288*n^6-413/48*n^7+5/192*n^8)*p3*p1^2-37493639479296000*p5*p4*p3*p1+
9819762720768000*p6*p3*p2*p1^2+6376469299200*(343438753154-1811868343421/24*n+
199609936333/32*n^2-25230850315/96*n^3+840623515/128*n^4-428031/4*n^5+73751/64*
n^6-243/32*n^7+3/128*n^8)*p2^2*p1+88562073600*(141390-4797*n+45*n^2)*p3*p2^2*p1
^4+4250979532800*(-78931102904+401980204627/24*n-134894127277/96*n^2+2008224095
/32*n^3-652781723/384*n^4+179423/6*n^5-22045/64*n^6+77/32*n^7-1/128*n^8)*p2*p1^
3+25505877196800*(-1896355889775+22427603496451/24*n-238682141545031/1440*n^2+
914262766025/64*n^3-788988187771/1152*n^4+15389755127/768*n^5-4455829693/11520*
n^6+664401/128*n^7-3073/64*n^8+215/768*n^9-1/1280*n^10)*p2*p1+53137244160*(
165635-11445/2*n+105/2*n^2)*p4*p2*p1^5+265686220800*(-554175+35595/2*n-315/2*n^
2)*p4*p2^2*p1^3+106274488320*(-32041915+29474315/12*n-550325/8*n^2+10465/12*n^3
-35/8*n^4)*p4*p1^5+265686220800*(1846935-110565/2*n+945/2*n^2)*p4*p2^3*p1+
177124147200*(-638650+20055*n-175*n^2)*p4*p3*p1^4+212548976640*(-654150+21897*n
-189*n^2)*p5*p2*p1^4+708496588800*(2597826-85239*n+693*n^2)*p6*p2*p1^3+
1416993177600*(35088060-918918*n+6930*n^2)*p6*p3*p2+2550587719680*(-521829882+
74109927/2*n-3681843/4*n^2+20889/2*n^3-189/4*n^4)*p5*p2*p1^2+2125489766400*(
2182109370-259808535/2*n+11189395/4*n^2-59465/2*n^3+525/4*n^4)*p4*p3*p2+
2125489766400*(-553868590+221405395/6*n-3420625/4*n^2+57365/6*n^3-175/4*n^4)*p4
*p3*p1^2+1594117324800*(-485191535+125204985/4*n-5953725/8*n^2+33915/4*n^3-315/
8*n^4)*p4*p2^2*p1+797058662400*(-8614165+459375/2*n-3675/2*n^2)*p4^2*p2*p1+
1020235087872*(44902620-1069362*n+7938*n^2)*p5^2*p1+566797271040*(33432000-\
825660*n+6300*n^2)*p5*p3^2+212548976640*(-7399350+210681*n-1701*n^2)*p5*p2^3+
531372441600*(33170550-799925*n+6125*n^2)*p4^2*p3+5101175439360*(-185004710+
6882161*n-46189*n^2)*p10*p1+2833986355200*(-165743710+5300685*n-36465*n^2)*p9*
p2+2833986355200*(46407790-1718275*n+12155*n^2)*p9*p1^2+2125489766400*(-\
172578450+4613895*n-32175*n^2)*p8*p3+1062744883200*(-11715015+861003/2*n-6435/2
*n^2)*p8*p1^3+1821848371200*(-183372420+4274270*n-30030*n^2)*p7*p4+472331059200
*(126954120-25935595/3*n+430523/2*n^2-7715/3*n^3+25/2*n^4)*p3^2*p1^3+
354248294400*(-427020678+52198605/2*n-2462697/4*n^2+14211/2*n^3-135/4*n^4)*p3*
p2^3+23616552960*(7738674-3577505/6*n+69259/4*n^2-1399/6*n^3+5/4*n^4)*p3*p1^6+
132843110400*(99081873-25836435/4*n+1312551/8*n^2-8073/4*n^3+81/8*n^4)*p2^4*p1+
177124147200*(-26322993+7377597/4*n-399357/8*n^2+2583/4*n^3-27/8*n^4)*p2^3*p1^3
+53137244160*(7010293-2101203/4*n+121167/8*n^2-825/4*n^3+9/8*n^4)*p2^2*p1^5+
5060689920*(-1878317+597949/4*n-36661/8*n^2+263/4*n^3-3/8*n^4)*p2*p1^7+
8501959065600*(-146376593440+46150588771/2*n-1297163434*n^2+269302803/8*n^3-\
3557939/8*n^4+25025/8*n^5-77/8*n^6)*p6*p1-51553754284032000*p6*p4*p2*p1+
5101175439360*(-182305089120+50842446613/2*n-2452631529/2*n^2+221835715/8*n^3-\
2805213/8*n^4+19881/8*n^5-63/8*n^6)*p5*p2-62525836099584000*p7*p3*p2*p1+
5101175439360*(39697151340-11430614931/2*n+607351235/2*n^2-62315373/8*n^3+
853887/8*n^4-6375/8*n^5+21/8*n^6)*p5*p1^2+4250979532800*(-209745118880+
169673394485/6*n-2559674985/2*n^2+212232125/8*n^3-7734965/24*n^4+54565/24*n^5-\
175/24*n^6)*p4*p3+92990177280000*p4*p3*p2*p1^4+2125489766400*(-10233492320+
16486796107/12*n-70277125*n^2+28922225/16*n^3-1243645/48*n^4+9905/48*n^5-35/48*
n^6)*p4*p1^3+2833986355200*(49317336940-18521782312/3*n+1667606135/6*n^2-\
73949581/12*n^3+967609/12*n^4-7315/12*n^5+25/12*n^6)*p3^2*p1+2125489766400*(
48416928120-11118136789/2*n+473418763/2*n^2-42204111/8*n^3+561285/8*n^4-4317/8*
n^5+15/8*n^6)*p3*p2^2-836911595520000*p4*p3*p2^2*p1^2+708496588800*(2495471392-\
1917558587/6*n+96675515/6*n^2-10187117/24*n^3+154511/24*n^4-1319/24*n^5+5/24*n^
6)*p3*p1^4+1062744883200*(-10539031276+4828515147/4*n-215925147/4*n^2+20717901/
16*n^3-296523/16*n^4+2439/16*n^5-9/16*n^6)*p2^3*p1+1062744883200*(2440146324-\
1181385179/4*n+14243111*n^2-5882187/16*n^3+89613/16*n^4-777/16*n^5+3/16*n^6)*p2
^2*p1^3+3719607091200000*p4*p3^2*p2*p1+212548976640*(-576884780+875351653/12*n-\
15003473/4*n^2+4986215/48*n^3-26971/16*n^4+247/16*n^5-1/16*n^6)*p2*p1^5+
12752938598400*(-990340409938+6461063538455/24*n-7725709847591/288*n^2+
41569640891/32*n^3-39707818385/1152*n^4+2176515/4*n^5-3118645/576*n^6+3115/96*n
^7-35/384*n^8)*p4*p1-1071246842265600*p5*p3*p2*p1^3+8501959065600*(-\
1288647309620+3914770397747/12*n-1404343823777/48*n^2+19892379791/16*n^3-\
5644776343/192*n^4+5329141/12*n^5-141497/32*n^6+433/16*n^7-5/64*n^8)*p3*p2+
2833986355200*(-10160744748+686507605*n-28640409/2*n^2+142373*n^3-1155/2*n^4)*
p6*p3+1416993177600*(-525650370+84058205/2*n-4592973/4*n^2+26257/2*n^3-231/4*n^
4)*p6*p1^3+2550587719680*(-10988113290+1433851615/2*n-55628475/4*n^2+270165/2*n
^3-2205/4*n^4)*p5*p4+1275293859840*(2078489238-265861269/2*n+12078081/4*n^2-\
64935/2*n^3+567/4*n^4)*p5*p2^2+1594117324800*(2484518225-1941394945/12*n+
27250895/8*n^2-425075/12*n^3+1225/8*n^4)*p4^2*p1+6376469299200*(-8242981659+
2862076425/4*n-157668069/8*n^2+826683/4*n^3-6435/8*n^4)*p8*p1+3643696742400*(-\
8837425212+654250909*n-31262361/2*n^2+160875*n^3-1287/2*n^4)*p7*p2+
3643696742400*(2089592076-173372043*n+9494771/2*n^2-51909*n^3+429/2*n^4)*p7*p1^
2+8856207360*(-37665+2727/2*n-27/2*n^2)*p2^3*p1^5+1265172480*(11385-873/2*n+9/2
*n^2)*p2^2*p1^7+70287360*(-3445+279/2*n-3/2*n^2)*p2*p1^9+2530344960*(-49315+
3675/2*n-35/2*n^2)*p4*p1^7+157443686400*(-6766000+182700*n-1500*n^2)*p3^3*p2+
23616552960*(161200-5410*n+50*n^2)*p3^2*p1^5+44281036800*(1552230-46413*n+405*n
^2)*p3*p2^4+421724160*(12790-493*n+5*n^2)*p3*p1^8+13284311040*(-411885+26487/2*
n-243/2*n^2)*p2^5*p1+910924185600*(35556300-1037322*n+7722*n^2)*p7*p2^2+
303641395200*(2970396-108394*n+858*n^2)*p7*p1^4+1700391813120*(-190256220+
4128894*n-29106*n^2)*p6*p5+70849658880*(-755370+27489*n-231*n^2)*p6*p1^5-\
14729644081152000*p6*p3*p2^2+49098813603840*p6*p2*p1^5-24295878382583808*p5^2*
p2*p1-12654103324262400*p5*p4*p2^2-10712468422656000*p5*p3^2*p2-361545809264640
*p5*p2^3*p1^2+60257634877440*p5*p2^2*p1^4-2678117105664*p5*p2*p1^6-\
9763968614400000*p4^2*p3*p2+3254656204800000*p4^2*p3*p1^2+2196892938240000*p4^2
*p2^2*p1-488198430720000*p4^2*p2*p1^3-413289676800000*p4*p3^2*p1^3+
706854577105797120*p10*p2*p1+459294721966080000*p9*p3*p1-103341312442368000*p9*
p2*p1^2+359035074478080000*p8*p4*p1+205162899701760000*p8*p3*p2-\
68387633233920000*p8*p3*p1^2-46161652432896000*p8*p2^2*p1+10258144985088000*p8*
p2*p1^3+315130213941903360*p7*p5*p1+164130319761408000*p7*p4*p2-\
54710106587136000*p7*p4*p1^2+6947315122176000*p7*p3*p1^3+7034156561203200*p7*p2
^2*p1^2-781572951244800*p7*p2*p1^4+148474812338012160*p6*p5*p2-\
49491604112670720*p6*p5*p1^2+114563898408960000*p6*p4*p3+425097953280*(
130748982-20338877/2*n+1117929/4*n^2-6711/2*n^3+63/4*n^4)*p5*p1^4+22140518400*(
124605-8505/2*n+81/2*n^2)*p2^4*p1^3+157443686400*(2044000-58900*n+500*n^2)*p3^3
*p1^2+265686220800*(2585205-148225/2*n+1225/2*n^2)*p4^2*p1^3+14169931776*(
192570-7047*n+63*n^2)*p5*p1^6+17933819904000*p3*p2^4*p1^2+53137244160000*p3^2*
p2^2*p1^3-159411732480000*p3^2*p2^3*p1-236165529600000*p3^3*p2*p1^2+
35708228075520*p5*p3*p1^5+3570822807552000*p5*p3^2*p1^2-468670493491200*p5*p4*
p1^4-736482204057600*p6*p2^2*p1^3-545542373376000*p6*p3*p1^4+2209446612172800*
p6*p2^3*p1+836911595520000*p4*p3*p2^3-2066448384000*p4*p3*p1^6-94152554496000*
p4*p2^4*p1+41845579776000*p4*p2^3*p1^3-4184557977600*p4*p2^2*p1^5+132843110400*
p4*p2*p1^7-3542482944000*p3^2*p2*p1^5-3985293312000*p3*p2^3*p1^4+265686220800*
p3*p2^2*p1^6-6325862400*p3*p2*p1^8+5728194920448000*p6*p4*p1^3-\
21821694935040000*p6*p3^2*p1+1700391813120*(-8616720+237114*n-1890*n^2)*p5*p3*
p2*p1+1062744883200*(2130650-62265*n+525*n^2)*p4*p3*p2*p1^2+1416993177600*(-\
490557560+30406375*n-1411489/2*n^2+8015*n^3-75/2*n^4)*p3^2*p2*p1+10202350878720
*(2778993517300-3630801583409/4*n+5059679054977/48*n^2-90648654255/16*n^3+
29993435735/192*n^4-2403091*n^5+721809/32*n^6-2013/16*n^7+21/64*n^8)*p5+
51011754393600*(608142583125-353275870899493/360*n+3964806275511/8*n^2-\
5691473038547159/51840*n^3+143540164783393/11520*n^4-55075006856659/69120*n^5+
284783562023/9216*n^6-53804476847/69120*n^7+624013487/46080*n^8-6977039/41472*n
^9+13493/9216*n^10-187/23040*n^11+1/46080*n^12)*p1+314887372800*(2198120400-\
373573150/3*n+2646295*n^2-84350/3*n^3+125*n^4)*p3^3+7287393484800*(511626315200
-90693629037*n+16497605605/3*n^2-582382775/4*n^3+22369919/12*n^4-49621/4*n^5+
143/4*n^6)*p7+140574720*(507897-511417/12*n+11063/8*n^2-251/12*n^3+1/8*n^4)*p1^
9+425097953280*(18391544150-91670596669/24*n+93513727117/288*n^2-1455068155/96*
n^3+505067035/1152*n^4-33179/4*n^5+58967/576*n^6-73/96*n^7+1/384*n^8)*p1^5+
10121379840*(139278580-219177181/12*n+5947805/6*n^2-1403713/48*n^3+24247/48*n^4
-235/48*n^5+1/48*n^6)*p1^7+1277952*(1045-89/2*n+1/2*n^2)*p1^11+17003918131200*(
3973993855650-10137339059439/4*n+81674523195437/144*n^2-16986270485491/288*n^3+
612871427551/192*n^4-111425686727/1152*n^5+685852021/384*n^6-12756931/576*n^7+
54047/288*n^8-1159/1152*n^9+1/384*n^10)*p3+8501959065600*(606905081775-\
1991812914345/8*n+56046312283067/1440*n^2-1812204491939/576*n^3+19268900835/128
*n^4-10670823499/2304*n^5+372023117/3840*n^6-1629407/1152*n^7+2035/144*n^8-203/
2304*n^9+1/3840*n^10)*p1^3+4637432217600*(743642900-27633942*n+176358*n^2)*p11+
8192*p1^13-1570787949123993600*p10*p3-78539397456199680*p10*p1^3-\
1205648645160960000*p9*p4+155011968663552000*p9*p2^2+5741184024576000*p9*p1^4-\
1034021014496870400*p8*p5-341938166169600*p8*p1^5-962897875933593600*p7*p6-\
2453544813094502400*p11*p2-5747655904749158400*p12*p1+5667972710400*(
32348466150-17785754195/6*n+328278925/4*n^2-4960345/6*n^3+12155/4*n^4)*p9+
89669099520*p2^4*p1^5-5693276160*p2^3*p1^7+817848271031500800*p11*p1^2+
53990840850186240*p5^2*p3+2699542042509312*p5^2*p1^3+49210401816576000*p5*p4^2+
31882346496*p5*p1^8-5695648358400000*p4^3*p1+16273281024000*p4^2*p1^5-\
2755264512000000*p4*p3^3+262406144000000*p3^4*p1+354248294400000*p3^3*p2^2+
13120307200000*p3^3*p1^4-10760291942400*p3*p2^5-7034156561203200*p7*p2^3+
17368287805440*p7*p1^6+151224345899827200*p6^2*p1+20405878951772160000*p13+
69473151221760000*p7*p3^2+271159356948480*p5*p2^4-779346247680*p6*p1^7-1916928*
p2*p1^11+158146560*p2^2*p1^9-538014597120*p2^5*p1^3+807021895680*p2^6*p1+
46858240*p3*p1^10+56229888000*p3^2*p1^7-1230028800*p4*p1^9
[15]
357513982875/8*n+10800*p7*p2*p1+4050*p8*p1^2+14175/2*p6*p2^2+12600*p6*p3*p1+
16875/2*p4^2*p2+16200*p5*p3*p2+13500*p5*p4*p1+9000*p4*p3^2-27000*p5*p1^3-91125/
8*p2^4-121500*p3*p2^2*p1-54000*p3^2*p1^2-101250*p4*p2*p1^2+3/2*(3718800-81000*n
)*p5*p2*p1+5/4*(4687200-108000*n)*p4*p3*p1+5/2*(235866960-16210800*n+243000*n^2
)*p3*p2*p1+5/8*(-784140+12600*n)*p6*p4+5/3*(-218880+2700*n)*p9*p1+15/16*(-\
468360+6480*n)*p8*p2+5/7*(-665280+10080*n)*p7*p3+15/32*(6827400-162000*n)*p4*p2
^2+15/7*(-33183528+1473360*n-12600*n^2)*p7*p1+5/4*(-62563620+2959110*n-28350*n^
2)*p6*p2+5/4*(1925280-37800*n)*p6*p1^2+(-80234280+3922200*n-40500*n^2)*p5*p3+5/
12*(7948800-194400*n)*p3^2*p2+15/8*(147344640-9684000*n+135000*n^2)*p4*p1^2+5/6
*(-10400400+324000*n)*p3*p1^3+15/16*(-14990400+486000*n)*p2^2*p1^2+5*(-\
12049720896+2834891820*n-208135575*n^2+5737500*n^3-50625*n^4)*p3*p1+15/4*(
2257384320-352304100*n+15687000*n^2-202500*n^3)*p2*p1^2+3*(-1277730960+
138040950*n-4140000*n^2+33750*n^3)*p5*p1+15/8*(-2124832640+237407310*n-7517250*
n^2+67500*n^3)*p4*p2-360*p11*p1-495*p10*p2-600*p9*p3-675*p8*p4-720*p7*p5-735/2*
p6^2+101250*p2*p1^4-919076122125/128*n^4+1164358810125/32*n^3+15*p14+3/2*(
4974970-152405*n+825*n^2)*p10+15/32*(-85990660+4245000*n-45000*n^2)*p4^2-\
3796875/896*n^8+18478125/32*n^7+15/8*(357527170-27031962*n+544770*n^2-2700*n^3)
*p8+5/6*(-2401320960+270647460*n-8715600*n^2+81000*n^3)*p3^2+15/4*(41465234720-\
28279395809/2*n+6276752085/4*n^2-71644650*n^3+5416875/4*n^4-16875/2*n^5)*p4+5/8
*(-213580800+19899000*n-405000*n^2)*p1^4+5/4*(19110-156*n)*p12-1832743125/64*n^
6+10457758125/16*n^5+3/10*(-823200+13500*n)*p5^2+15/8*(-16203415360+3866755485*
n-579228525/2*n^2+8224875*n^3-151875/2*n^4)*p2^2+5/16*(331132320-23400900*n+
364500*n^2)*p2^3+5/2*(7555115568-2447344833/2*n+245544075/4*n^2-2228625/2*n^3+
23625/4*n^4)*p6+15/2*(37795419648-60935457927/2*n+15426417645/2*n^2-6521255925/
8*n^3+313828875/8*n^4-6699375/8*n^5+50625/8*n^6)*p2+15/2*(-16000846848+
8439899130*n-1394937900*n^2+187396875/2*n^3-2632500*n^4+50625/2*n^5)*p1^2-\
16692642388125/224*n^2
[14, 2]
-1980990122944/3*n-616*p10*p1^2+6272*p7*p1^3+16464*p6*p2*p1^2+9800*p4^2*p1^2+
10584*p5*p2^2*p1+18816*p5*p3*p1^2+23520*p4*p3*p2*p1+12544/3*p3^3*p1+259308*p2^4
-395136*p5*p3*p2-172872*p6*p2^2+7/3*(-82536496+3086160*n-23520*n^2)*p4*p3*p1+7/
4*(4634560-94080*n)*p4*p2*p1^2+7/6*(5157936-84672*n)*p3*p2^2*p1+7/5*(-649600+
8400*n)*p5*p4*p1+14/9*(-562212+7056*n)*p6*p3*p1+2*(-396872+4704*n)*p7*p2*p1-\
219520*p4*p3^2-205800*p4^2*p2+14/3*(-2898264596+243031152*n-5554248*n^2+32928*n
^3)*p3*p2*p1+14/5*(-66156440+2397360*n-17640*n^2)*p5*p2*p1+28*p13*p1+4/3*(
8196720-131712*n)*p7*p3+7/6*(9666720-164640*n)*p6*p4+28/9*(5073369-126990*n+630
*n^2)*p9*p1+7/4*(5765760-84672*n)*p8*p2+7/4*(-312096+4032*n)*p8*p1^2+7/3*(
685130544-34113408*n+345744*n^2)*p6*p2+7/3*(-47920992+1930992*n-16464*n^2)*p6*
p1^2+28/15*(879270210-45258360*n+493920*n^2)*p5*p3+14/15*(3394860-70560*n)*p5*
p1^3+7/8*(-78933120+1975680*n)*p4*p2^2+7/9*(-91939680+2370816*n)*p3^2*p2+7/9*(
5429088-112896*n)*p3^2*p1^2+15680*p9*p3+28/5*(14012493418-5182239050/3*n+
64952020*n^2-2603860/3*n^3+3430*n^4)*p5*p1+7/2*(20958964320-2447430048*n+
81277280*n^2-768320*n^3)*p4*p2+7/2*(-2117913904+569277184/3*n-4892160*n^2+
109760/3*n^3)*p4*p1^2+14/9*(236626740-14377776*n+197568*n^2)*p3*p1^3+7/4*(
277682048-15758400*n+197568*n^2)*p2^2*p1^2+7/12*(-16705472+526848*n)*p2*p1^4+28
/3*(112406989464-425059935376/15*n+2307958730*n^2-227723188/3*n^3+989898*n^4-\
19208/5*n^5)*p3*p1+7*(-23878022328+12963858992/3*n-247678928*n^2+16222528/3*n^3
-38416*n^4)*p2*p1^2+12936*p10*p2+4*(475859027-83777120/3*n+437276*n^2-5488/3*n^
3)*p7*p1+28/11*(16709-132*n)*p11*p1+9604*p6^2+18816*p7*p5+17640*p8*p4-109760/3*
p4*p1^4-131712*p3*p2*p1^3-49392*p2^3*p1^2+3294172/45*n^8-144943568/15*n^7+
49917951694352/45*n^2+307328/15*p1^6-420*p14-1176*p6*p5*p1-1120*p7*p4*p1-840*p9
*p2*p1-1008*p8*p3*p1+14/5*(-57837780+1872640*n-10780*n^2)*p10+14/3*(-\
71379718410+12022490536*n-630055328*n^2+12005000*n^3-67228*n^4)*p6+14/25*(
10150350-176400*n)*p5^2+7/3*(-251160+2184*n)*p12+7/2*(146092468536-36155582960*
n+2817934336*n^2-83516384*n^3+806736*n^4)*p2^2+14/9*(23690828910-2791435920*n+
94289328*n^2-921984*n^3)*p3^2+7*(-361699261560+127120193592*n-43836850792/3*n^2
+2081883776/3*n^3-41105120/3*n^4+268912/3*n^5)*p4+14*(-310385001600+
255273074840*n-331712703196/5*n^2+21689868424/3*n^3-1080152276/3*n^4+23933168/3
*n^5-941192/15*n^6)*p2+14*(136028419200-1128641607944/15*n+602317215164/45*n^2-\
3039742048/3*n^3+317690716/9*n^4-8201816/15*n^5+134456/45*n^6)*p1^2+2325685432/
5*n^6-30988881056/3*n^5+1661145766196/15*n^4-8247401188432/15*n^3+7/12*(-\
3426139584+253677312*n-4148928*n^2)*p2^3+7/6*(3100935096-1241330720/3*n+
16606688*n^2-614656/3*n^3)*p1^4+7/2*(-3720425280+294950880*n-6263376*n^2+32928*
n^3)*p8+7/8*(942540480-49000000*n+548800*n^2)*p4^2
[13, 3]
-5290759472661/8*n-1248*p7*p3*p2-1365*p6*p4*p2+12168*p11*p1+18252*p5*p2^2*p1+
7098*p6*p2*p1^2+24843/2*p6^2-702*p5^2*p2+22815/2*p4*p2^3+20280*p4*p3*p2*p1+
12168*p3^2*p2^2+1250396736542473/1120*n^2+685464*p5*p1^3+1370928*p3^2*p1^2-\
369096*p6*p3*p1-118638*p8*p1^2-263640*p4*p3^2-395460*p5*p4*p1+13/8*(4505280-\
97344*n)*p3*p2^2*p1+13/2*(-1921438944+161211024*n-3893136*n^2+29744*n^3)*p3*p2*
p1+13/4*(-42588000+1138800*n-3120*n^2)*p4*p3*p1+39/16*(1837680-27040*n)*p4*p2*
p1^2+39/10*(-42641160+1529840*n-12480*n^2)*p5*p2*p1+39/14*(-255024+2912*n)*p7*
p2*p1+13/10*(-738120+9360*n)*p5*p3*p2+39*p12*p2+39/5*(9203586600-1098147340*n+
39540635*n^2-522990*n^3+2535*n^4)*p5*p1+39/8*(15820007424-6090634402/3*n+
250716769/3*n^2-4167410/3*n^3+26195/3*n^4)*p4*p2+39/8*(-1121638128+82620460*n-\
1520740*n^2+6760*n^3)*p4*p1^2+13/6*(83837520-2960880*n+8112*n^2)*p3*p1^3+39/7*(
277191096-14109788*n+178052*n^2-728*n^3)*p7*p1+13/4*(589563468-36583876*n+
666876*n^2-4004*n^3)*p6*p2+13/4*(-17319120+398580*n-1092*n^2)*p6*p1^2+13/5*(
677105520-37906890*n+551910*n^2-2340*n^3)*p5*p3+39/64*(-808800+10400*n)*p4^2*p2
+13/3*(2223000-32850*n+90*n^2)*p9*p1+39/16*(6909552-184056*n+1152*n^2)*p8*p2+13
/7*(6814080-122640*n+336*n^2)*p7*p3+13/8*(8053500-153300*n+420*n^2)*p6*p4+13/16
*(-820680+13104*n)*p6*p2^2-1053*p8*p2^2+24336*p7*p5+20280*p9*p3+39/20*(25740-\
220*n)*p10*p2+39/16*(158232672-8710936*n+117624*n^2)*p2^2*p1^2+13/16*(-4088448+
70304*n)*p2*p1^4+13*(77931159072-19623668752*n+1603544344*n^2-54080806*n^3+
785512*n^4-4394*n^5)*p3*p1+39/4*(-15383349600+7964926970/3*n-429149981/3*n^2+
8939086/3*n^3-68107/3*n^4)*p2*p1^2+39/32*(-92781912+4145960*n-45240*n^2)*p4*p2^
2+13/12*(-89931912+3459456*n-29952*n^2)*p3^2*p2-35152*p3*p2*p1^3-59319*p2^3*p1^
2+1014001183/4480*n^8-2526191889/160*n^7-4826809/3360*n^9-585*p14-780*p9*p2*p1+
22815*p8*p4+74202837756281/640*n^4-1882054469786231/3360*n^3+13/128*(10350288-\
292032*n)*p2^4+39/32*(726403860-41084600*n+610400*n^2-2600*n^3)*p4^2+39/8*(
105924560352-413113074437/15*n+14363039729/6*n^2-273345059/3*n^3+9849151/6*n^4-\
61516/5*n^5)*p2^2+13/8*(1493467872-151894496*n+3781544*n^2-17576*n^3)*p1^4+39/8
*(-2794982190+237919656*n-6074736*n^2+58986*n^3-234*n^4)*p8+39/4*(-259339123680
+560210844271/6*n-45105472227/4*n^2+2378242591/4*n^3-89478311/6*n^4+2168101/12*
n^5-10985/12*n^6)*p4+39/2*(96015628800-791754290708/15*n+18587101797/2*n^2-\
2771183155/4*n^3+285679121/12*n^4-22582963/60*n^5+28561/12*n^6)*p1^2+13/4*(-\
221130+2190*n-6*n^2)*p12+39/10*(-46276230+1656655*n-15070*n^2+55*n^3)*p10+39/50
*(8463000-164250*n+450*n^2)*p5^2+39/2*(-222472051200+19404146159032/105*n-\
4427101694279/90*n^2+1016573093891/180*n^3-2834728676/9*n^4+1622620883/180*n^5-\
11980241/90*n^6+542659/630*n^7)*p2+13/2*(-51829137360+18261374105/2*n-\
2104452599/4*n^2+12608694*n^3-538993/4*n^4+1183/2*n^5)*p6+13/16*(-3013009920+
293309016*n-9108216*n^2+97344*n^3)*p2^3+13/6*(17406899640-2170881906*n+83468526
*n^2-1202136*n^3+6084*n^4)*p3^2+186336140497/320*n^6-1832661650651/160*n^5
[13, 2, 2]
-140608/3*p3*p1^5+31264140344320/3*n+52/5*(506874080-22304880*n+215280*n^2)*p5*
p2*p1-1820*p6*p4*p1^2+26/3*(613793908-27239160*n+266760*n^2)*p4*p3*p1+13/2*(-\
52405568+1704560*n-10140*n^2)*p4*p2*p1^2-79092*p2^2*p1^4+13/3*(-48652344+
1095120*n)*p3*p2^2*p1+26/9*(3902184-73008*n)*p3*p2*p1^3+52/3*(17576384456-\
1673747088*n+46416240*n^2-381264*n^3)*p3*p2*p1+104/15*(-5077341360+277109490*n-\
3320130*n^2+2340*n^3)*p5*p3+26/3*(423580404-22545719*n+323232*n^2-1183*n^3)*p6*
p1^2+104/7*(-3162510442+638779946/3*n-4027534*n^2+63700/3*n^3)*p7*p1+52/15*(
3479940-14040*n)*p5*p3*p2+13/12*(3055104-36504*n)*p2^3*p1^2+26/5*(6327100-\
101400*n)*p5*p4*p1+104/5*(-77706671432+62943965875/6*n-1796200955/4*n^2+
43683575/6*n^3-152945/4*n^4)*p5*p1+52/15*(-46622340+1804530*n-15210*n^2)*p5*p1^
3+26/9*(585843948-17451720*n+42120*n^2)*p3^2*p2+26/9*(-59616228+1970280*n-12168
*n^2)*p3^2*p1^2+52/7*(4126640-61152*n)*p7*p2*p1+52/9*(5500404-85176*n)*p6*p3*p1
+13/3*(-318192+3276*n)*p6*p2*p1^2+13*(-109798240656+13566454940*n-980039015/2*n
^2+5575830*n^3-21125/2*n^4)*p4*p2+13*(13838958640-4386577600/3*n+290573647/6*n^
2-1727180/3*n^3+10985/6*n^4)*p4*p1^2+52/9*(-1979994504+161081778*n-3837990*n^2+
26364*n^3)*p3*p1^3+13/2*(-2143958704+156155818*n-3070392*n^2+13182*n^3)*p2^2*p1
^2+13/6*(208329680-11993592*n+158184*n^2)*p2*p1^4+104/3*(-549432097344+
4396864089731/30*n-51681558301/4*n^2+1434188977/3*n^3-30189315/4*n^4+415233/10*
n^5)*p3*p1+26*(127632707136-383604672703/15*n+5111911714/3*n^2-565875037/12*n^3
+1559870/3*n^4-28561/20*n^5)*p2*p1^2+13/4*(526165968-16437720*n+65520*n^2)*p4*
p2^2+13/12*(3755440-81120*n)*p4*p1^4+26/5*(-94380+330*n)*p10*p2+26/5*(14300-110
*n)*p10*p1^2+4212*p8*p2^2+52/15*(-429900+4680*n)*p5*p3*p1^2+2808*p5^2*p2+104/11
*(-185614+1716*n)*p11*p1+13/3*(-62899200+1147020*n-420*n^2)*p6*p4+13/6*(2891952
-19656*n)*p6*p2^2-936*p5^2*p1^2-547560*p5*p2^2*p1+24336*p5*p2*p1^3+27040*p4*p3*
p1^3+15210*p4*p2^2*p1^2+16224*p3^2*p2*p1^2-486720*p8*p4-1040*p9*p1^3-48672*p3^2
*p2^2-562432/3*p3^3*p1-519168*p7*p5-432640*p9*p3-45630*p4*p2^3+5624320*p4*p3^2+
104/9*(-42867786+1282995*n-7695*n^2)*p9*p1+13/2*(-40636908+747720*n-1620*n^2)*
p8*p2+13/2*(4349748-101280*n+468*n^2)*p8*p1^2+104/21*(-53289600+917616*n-336*n^
2)*p7*p3+52/21*(-325752+4368*n)*p7*p1^3+9464*p6*p1^4-264992*p6^2+13/8*(3849600-\
15600*n)*p4^2*p2+13/8*(-472000+5200*n)*p4^2*p1^2+48672*p8*p3*p1-1404*p8*p2*p1^2
+12480*p14+54080*p7*p4*p1+56784*p6*p5*p1+43680*p9*p2*p1-1456*p13*p1+5460*p6*p4*
p2+52*p12*p1^2-156*p12*p2-1664*p7*p3*p1^2+4992*p7*p3*p2-1135680*p4*p3*p2*p1-\
747178263871/90*n^6+31705801606063/180*n^5-329407407505943/180*n^4+
932443136955733/105*n^3-5556529500589639/315*n^2+26/3*(-4047223284+220742865*n-\
2742222*n^2+5187*n^3)*p6*p2-2188029649/1260*n^8+16809605111/90*n^7+13*(
20420400000-1706908086*n+39044946*n^2-243534*n^3+234*n^4)*p8+13/48*(-34032960+
438048*n)*p2^4+52/3*(356933456880-62683578490*n+6930125645/2*n^2-143097423/2*n^
3+969241/2*n^4-1183/2*n^5)*p6+52/9*(-123411522000+15261652326*n-548529486*n^2+
6000384*n^3-6084*n^4)*p3^2+13/6*(19369074384-1593319338*n+33231276*n^2-136890*n
^3)*p2^3+13/90*(-15583152+527280*n)*p1^6+26*(1678788820800-608430278924*n+
218173446284/3*n^2-14547214679/4*n^3+933681047/12*n^4-2455401/4*n^5+10985/12*n^
6)*p4+52/25*(-66066000+1228950*n-450*n^2)*p5^2+4826809/1260*n^9+13/4*(-\
5444318880+300161600*n-3686200*n^2+2600*n^3)*p4^2+13/3*(-19926013248+9664519202
/3*n-174544383*n^2+11437582/3*n^3-28561*n^4)*p1^4+13*(-700140407616+
903042886896/5*n-14885872224*n^2+965599739/2*n^3-5782504*n^4+151593/10*n^5)*p2^
2+52*(1363572403200-160106489401309/140*n+916407137917/3*n^2-1656665726087/48*n
^3+43376027435/24*n^4-1306258967/30*n^5+10108397/24*n^6-314171/336*n^7)*p2+52*(
-614413900800+49497124211571/140*n-133305608191/2*n^2+3962651967391/720*n^3-\
878189741/4*n^4+1532392121/360*n^5-142805/4*n^6+371293/5040*n^7)*p1^2+26/3*(
1747200-16386*n+6*n^2)*p12+52/5*(354594240-12242230*n+80135*n^2-55*n^3)*p10
[12, 4]
8*(-1527528108+129955800*n-3095424*n^2+20736*n^3)*p3*p2*p1-661150107648*n-864*
p8*p3*p1+6912*p5*p3*p1^2-1152*p7*p3*p2+17280*p4*p3*p2*p1+497664/5*n^8-59056128/
5*n^7+2627831808/5*n^6-11056932864*n^5+572773026816/5*n^4-2789286285312/5*n^3+
5574979187712/5*n^2+9216*p3^3*p1+(-2737152+55296*n)*p2*p1^4+16*(63776588580-\
81142222296/5*n+1346043288*n^2-45629568*n^3+626976*n^4-13824/5*n^5)*p3*p1+12*(-\
12634022304+2206118272*n-119267520*n^2+2351232*n^3-13824*n^4)*p2*p1^2+8/3*(
80599104-4392576*n+62208*n^2)*p3*p1^3+24/7*(-105840+672*n)*p7*p2*p1+3*(
105359616-4882176*n+41472*n^2)*p2^2*p1^2+6*(-963854352+79489184*n-1820160*n^2+
11520*n^3)*p4*p1^2+10368*p3^2*p2^2+48/5*(7616548485-943344980*n+35399580*n^2-\
452640*n^3+1440*n^4)*p5*p1+6*(12462344160-1555939584*n+57173760*n^2-622080*n^3)
*p4*p2+4*(-40940448+1638960*n-14400*n^2)*p4*p3*p1+3*(984960-11520*n)*p4*p2*p1^2
+2*(2261952-41472*n)*p3*p2^2*p1+48*p11*p3+8/3*(-268632+4032*n)*p6*p3*p1+12/5*(-\
189000+1200*n)*p5*p4*p1+8/5*(-520380+6480*n)*p5*p3*p2+48/11*(3465-22*n)*p11*p1+
24/5*(-28992060+923640*n-4320*n^2)*p5*p2*p1-217728*p6*p2^2-1344*p6*p3^2+25920*
p8*p4+27648*p7*p5+19008*p10*p2+16/9*(29295-270*n)*p9*p3+16/7*(7094619-198324*n+
1008*n^2)*p7*p3+2*(6854400-141120*n)*p6*p4-259200*p4^2*p2+8/5*(531360-8640*n)*
p5*p1^3+3/2*(-50457600+1451520*n)*p4*p2^2+16/3*(2007315-43560*n+180*n^2)*p9*p1+
3*(4026240-72576*n)*p8*p2+3*(-49248+576*n)*p8*p1^2+4/3*(-71982360+3125088*n-\
31104*n^2)*p3^2*p2+4/3*(2062368-55296*n)*p3^2*p1^2+2/3*(-938160+17280*n)*p4*p3^
2+48/7*(235776555-13494726*n+195048*n^2-672*n^3)*p7*p1+4*(428837472-24097248*n+
290304*n^2)*p6*p2+4*(-15797376+539616*n-4032*n^2)*p6*p1^2+16/5*(577452045-\
36219150*n+597960*n^2-2160*n^3)*p5*p3-27648*p3*p2*p1^3-1440*p5*p4*p3+14112*p6^2
+279936*p2^4+8*(-42065633610+7453923540*n-423759168*n^2+9108288*n^3-60480*n^4)*
p6+12*(-210700613760+75788972768*n-9086049312*n^2+461923776*n^3-10091520*n^4+
76032*n^5)*p4-720*p14+2*(1311987456-150808320*n+5080320*n^2-55296*n^3)*p1^4+24*
(-180808437600+149949261504*n-198497913408/5*n^2+4477089024*n^3-235658304*n^4+
5664384*n^5-248832/5*n^6)*p2+4*(-196560+2184*n)*p12+6*(-2277955680+198897936*n-\
4863168*n^2+31104*n^3)*p8+24/25*(7213500-151200*n)*p5^2+8/3*(14272227396-\
1846982880*n+74952432*n^2-1124064*n^3+5184*n^4)*p3^2+(-2046249216+163669248*n-\
2985984*n^2)*p2^3+6*(85194154848-21774595584*n+1791774720*n^2-57604608*n^3+
622080*n^4)*p2^2+24*(78302095200-215978788224/5*n+38259611328/5*n^2-573547392*n
^3+19493184*n^4-1426176/5*n^5+6912/5*n^6)*p1^2+24/5*(-38618580+1472020*n-10560*
n^2)*p10+3/2*(595640640-35001600*n+460800*n^2)*p4^2
[12, 3, 2]
10434501181440*n-1296*p8*p2*p1^2-2016*p6*p3*p2*p1-1728*p7*p2^2*p1-2160*p5*p4*p2
*p1+19008*p10*p1^2+23328*p8*p2^2+36288*p8*p3*p1+34560*p7*p3*p2+34560*p7*p4*p1+
8064*p6*p3^2+30240*p6*p4*p2+36288*p6*p5*p1-165888*p7*p1^3-259200*p4^2*p1^2+8640
*p5*p4*p3+15552*p5^2*p2-539136*p5*p3*p1^2-311040*p3^2*p2^2-165888*p3^3*p1-\
233280*p4*p2^3+4*(21690-180*n)*p9*p2*p1+36/7*(6384210-143808*n+840*n^2)*p7*p2*
p1+4*(6208272-93996*n+252*n^2)*p6*p3*p1+3*(-340032+4032*n)*p6*p2*p1^2+18/5*(
6693600-97500*n+300*n^2)*p5*p4*p1+12/5*(9685440-129600*n)*p5*p3*p2+6*(753338304
-32522100*n+373380*n^2-1440*n^3)*p4*p3*p1+9/2*(-53986784+1771200*n-14400*n^2)*
p4*p2*p1^2+3*(-83588496+2884320*n-23328*n^2)*p3*p2^2*p1+2*(2788128-41472*n)*p3*
p2*p1^3+12*(23868235896-2335430346*n+72753978*n^2-917640*n^3+4320*n^4)*p3*p2*p1
+36/5*(684193670-32989350*n+482130*n^2-2520*n^3)*p5*p2*p1+9/5*(-642000+8640*n)*
p5*p2^2*p1+18/5*(-318340+2640*n)*p10*p2+8/3*(-272700+1080*n)*p9*p3+72/11*(-\
189706+3575/2*n-11/2*n^2)*p11*p1+6*(408123744-18478992*n+231168*n^2-1008*n^3)*
p6*p1^2+24/5*(-7879255140+476500860*n-7636500*n^2+34560*n^3)*p5*p3+12/5*(-\
29285280+702000*n-2160*n^2)*p5*p1^3+9/4*(1027897344-45279360*n+466560*n^2)*p4*
p2^2+2*(1085294304-45294336*n+435456*n^2)*p3^2*p2+2*(-51677568+1289088*n-3456*n
^2)*p3^2*p1^2+3/4*(5501952-124416*n)*p2^3*p1^2+9/8*(9715200-115200*n)*p4^2*p2+(
8729280-69120*n)*p4*p3^2+24/7*(-93172716+2039184*n-8064*n^2)*p7*p3+3*(-\
104025600+2121840*n-5040*n^2)*p6*p4+3/2*(9342144-145152*n)*p6*p2^2-288*p11*p3+8
*(-49116906+2811465/2*n-23895/2*n^2+45*n^3)*p9*p1+9/2*(-82239216+2178720*n-\
12960*n^2)*p8*p2+9/2*(3050496-46800*n+144*n^2)*p8*p1^2+72*p11*p2*p1+72/5*(-\
105215813312+28263587095/2*n-1228222765/2*n^2+11155545*n^3-95700*n^4+360*n^5)*
p5*p1+9*(-163779078272+21720580800*n-911027520*n^2+14837760*n^3-86400*n^4)*p4*
p2+9*(16249669504-1586271320*n+48605336*n^2-591840*n^3+2880*n^4)*p4*p1^2+4*(-\
1848266208+124234344*n-2262600*n^2+10368*n^3)*p3*p1^3+9/2*(-2577981824+
192161280*n-4549248*n^2+38016*n^3)*p2^2*p1^2+3/2*(151496064-6835968*n+69120*n^2
)*p2*p1^4+24*(-772464258336+1034565354438/5*n-18501853158*n^2+717171636*n^3-\
13170492*n^4+589752/5*n^5-432*n^6)*p3*p1+18*(169642901696-165645964688/5*n+
2163950512*n^2-61688448*n^3+836064*n^4-24192/5*n^5)*p2*p1^2+72/7*(-4008541558+
526063293/2*n-10513797/2*n^2+44646*n^3-168*n^4)*p7*p1+6*(-6587352852+418761000*
n-7524216*n^2+42336*n^3)*p6*p2-622080*p8*p4-663552*p7*p5-338688*p6^2-\
9491063300352/5*n^4+315538869682944/35*n^3+17280*p14+10368*p5*p2*p1^3+13824*p3^
2*p2*p1^2+954100207872/5*n^5-49053558528/5*n^6+829440*p4*p1^4-41472*p2^2*p1^4+6
*(3057600-32838*n+78*n^2)*p12+36/25*(-109368000+2273400*n-5400*n^2)*p5^2+36/5*(
564243680-21519685*n+199045*n^2-660*n^3)*p10+1320427008/5*n^7+9/4*(-8358282240+
499516800*n-7641600*n^2+28800*n^3)*p4^2-127028736/35*n^8+3/16*(-108241920+
2985984*n)*p2^4+12*(520130170560-95052667065*n+5683576065*n^2-139484268*n^3+
1463616*n^4-6048*n^5)*p6+4*(-182167785504+23895687456*n-977398272*n^2+15167520*
n^3-82944*n^4)*p3^2+9*(30645014400-2737994028*n+72747708*n^2-699552*n^3+2592*n^
4)*p8+18*(2421817216000-895846575392*n+111520900304*n^2-6048724128*n^3+
153818928*n^4-1821312*n^5+8640*n^6)*p4+36*(-875777817600+2511215068848/5*n-\
94280454096*n^2+38813946432/5*n^3-313336992*n^4+32654112/5*n^5-71136*n^6+1728/5
*n^7)*p1^2+36*(1966943462400-58213566312912/35*n+452837335536*n^2-53249136480*n
^3+3025766880*n^4-433118304/5*n^5+1232928*n^6-51840/7*n^7)*p2+3*(-554640+5760*n
)*p4*p3*p2*p1+25920*p4*p2^2*p1^2+15552*p3*p2^3*p1+9*(-1016199404928+
1359396131568/5*n-24183867792*n^2+924052896*n^3-16077312*n^4+559872/5*n^5)*p2^2
+3*(-21927582720+3100536288*n-140038560*n^2+2424384*n^3-13824*n^4)*p1^4+3/2*(
31459007808-3070616256*n+92549952*n^2-933120*n^3)*p2^3-1990656/5*p1^6-\
620653411183104/35*n^2+746496/35*n^9-936*p12*p2-1008*p13*p1
[12, 2, 2, 2]
-174940210888704*n+108864*p8*p2*p1^2+20736*p7*p2^2*p1+110592*p7*p3*p1^2+24192*
p6*p3*p2*p1+120960*p6*p4*p1^2+25920*p5*p4*p2*p1+62208*p5^2*p1^2-1900800*p8*p3*
p1-377856*p7*p3*p2-2073600*p7*p4*p1-279936*p8*p2^2-57600*p5*p4*p3-186624*p5^2*
p2+3400704*p3^2*p2^2+7004160*p3^3*p1-53760*p6*p3^2+2799360*p4*p2^3-362880*p6*p4
*p2-2177280*p6*p5*p1+32*(-71415+270*n)*p9*p2*p1+96*(-71924352916+7582180866*n-\
244710786*n^2+2663640*n^3-5184*n^4)*p3*p2*p1+36*(323485392-13432320*n+123840*n^
2)*p4*p2*p1^2+24*(286171992-8664192*n+33696*n^2)*p3*p2^2*p1+16*(-34095156+
1039248*n-5184*n^2)*p3*p2*p1^3+48/5*(-238260+2160*n)*p5*p2*p1^3+8*(-294600+2880
*n)*p4*p3*p1^3+288/5*(-2487096585+127085400*n-1601610*n^2+3240*n^3)*p5*p2*p1+48
*(-2925367520+146188260*n-1709700*n^2+1440*n^3)*p4*p3*p1+32*(-31830456+562716*n
-252*n^2)*p6*p3*p1+24*(2845584-42336*n)*p6*p2*p1^2+144/5*(-36152400+657900*n-\
300*n^2)*p5*p4*p1+96/5*(-20605440+177120*n)*p5*p3*p2+96/5*(3505320-51840*n)*p5*
p3*p1^2+72/5*(1896120-12960*n)*p5*p2^2*p1+288/7*(-25952955+502236*n-1176*n^2)*
p7*p2*p1+1920*p11*p3+96*p11*p1^3-3744*p12*p1^2+144/5*(646470-3960*n)*p10*p2+144
/5*(-135410+1320*n)*p10*p1^2+64/3*(641970-900*n)*p9*p3+60480*p13*p1+11232*p12*
p2+32/3*(11925-90*n)*p9*p1^3+576/11*(1165219-24123/2*n+11/2*n^2)*p11*p1-864*p11
*p2*p1+6*(-36395744+1388160*n-11520*n^2)*p4*p1^4+16*(-2661486096+94703616*n-\
539136*n^2)*p3^2*p2+16*(355814784-14503104*n+127872*n^2)*p3^2*p1^2+8/5*(3126240
-69120*n)*p3*p1^5+6*(-26262144+559872*n)*p2^3*p1^2+3*(2497536-41472*n)*p2^2*p1^
4+576/5*(295413443480-85815992955/2*n+4059666325/2*n^2-38137065*n^3+262740*n^4-\
360*n^5)*p5*p1+72*(404256890048-52988393376*n+2093016096*n^2-28471680*n^3+
103680*n^4)*p4*p2+72*(-58746382848+6943631064*n-268702712*n^2+4053600*n^3-20160
*n^4)*p4*p1^2+32*(9805931148-946233672*n+29150640*n^2-322128*n^3+864*n^4)*p3*p1
^3+36*(10306658592-889168320*n+22929408*n^2-176256*n^3)*p2^2*p1^2+12*(-\
1303974400+100271616*n-2261376*n^2+13824*n^3)*p2*p1^4+192*(1882175113584-\
527339377206*n+49726520646*n^2-2027836068*n^3+37342332*n^4-277272*n^5+432*n^6)*
p3*p1+144*(-467454340096+506310080784/5*n-7527294640*n^2+244857984*n^3-3530592*
n^4+89856/5*n^5)*p2*p1^2+576/7*(13837631997-2058360297/2*n+44595957/2*n^2-\
148806*n^3+168*n^4)*p7*p1+48*(16774041054-1007364960*n+15156792*n^2-54432*n^3)*
p6*p2+48*(-2206109274+137799144*n-2489088*n^2+13104*n^3)*p6*p1^2+192/5*(
20604902110-1207539480*n+16534500*n^2-33120*n^3)*p5*p3+96/5*(310387435-15800970
*n+218760*n^2-720*n^3)*p5*p1^3+18*(-2458607616+93294720*n-673920*n^2)*p4*p2^2+
12*(-18658080+217728*n)*p6*p2^2+4*(-291648+4032*n)*p6*p1^4+9*(-21945600+172800*
n)*p4^2*p2+9*(3820800-57600*n)*p4^2*p1^2+8*(-20545440+57600*n)*p4*p3^2+64*(
222994755-15011685/2*n+107775/2*n^2-45*n^3)*p9*p1+36*(201268584-4536864*n+18144
*n^2)*p8*p2+36*(-29592696+859536*n-5328*n^2)*p8*p1^2+192/7*(247041690-4804632*n
+7392*n^2)*p7*p3+96/7*(3361785-76860*n+336*n^2)*p7*p1^3+24*(286742400-5649840*n
+5040*n^2)*p6*p4-1728*p8*p1^4-2304*p7*p2*p1^3-2688*p6*p3*p1^3-391680*p14-2880*
p5*p4*p1^3+14100480*p8*p4+15040512*p7*p5+7676928*p6^2+13824*p5*p1^5-1244160*p4*
p2^2*p1^2+34560*p4*p2*p1^4-1161216*p3^2*p2*p1^2+18432*p3^2*p1^4-186624*p3*p2^3*
p1-16008755521536/5*n^5+793057277952/5*n^6+288/25*(301308000-6053400*n+5400*n^2
)*p5^2+12*(-76902881760+7034719104*n-180138816*n^2+1306368*n^3)*p2^3+4/5*(
147257280-9175680*n+138240*n^2)*p1^6+24*(82167064128-75157619808/5*n+970138656*
n^2-27766848*n^3+346752*n^4-6912/5*n^5)*p1^4+288*(-4261185129600+
127450161254928/35*n-4996974387312/5*n^2+585993465312/5*n^3-6475266720*n^4+
852528096/5*n^5-9942048/5*n^6+279936/35*n^7)*p2+288*(1964851459200-\
40944695387664/35*n+1157768236368/5*n^2-102520413504/5*n^3+906795360*n^4-\
103136928/5*n^5+1140192/5*n^6-32832/35*n^7)*p1^2+24*(2053080-8640*n)*p4*p3*p2*
p1+10441840192966656/35*n^2+32175102486528*n^4-5338417014503424/35*n^3+20736*p3
*p2^2*p1^3-55296*p2*p1^6+303575040/7*n^8-19429797888/5*n^7+18*(22021511680-\
1294435200*n+17664000*n^2-28800*n^3)*p4^2+48*(-8539440+87438*n-78*n^2)*p12+32*(
452067529200-58950702048*n+2287438560*n^2-29265120*n^3+79488*n^4)*p3^2+72*(-\
78607649120+6954139452*n-172978620*n^2+1297440*n^3-2592*n^4)*p8+3/2*(210138624-\
4478976*n)*p2^4+288/5*(-1522681160+56484065*n-428725*n^2+660*n^3)*p10-5971968/
35*n^9+72*(2369590841536-3186529979952/5*n+55681538448*n^2-1983789216*n^3+
28791936*n^4-684288/5*n^5)*p2^2+144*(-5516842589440+2060996912416*n-\
256446119312*n^2+13555849440*n^3-316700208*n^4+3003264*n^5-8640*n^6)*p4+96*(-\
1257065529720+230432911365*n-13490845521*n^2+304659180*n^3-2503872*n^4+6048*n^5
)*p6
[11, 5]
-15868993229375/24*n-110*p10*p1^2+17160*p11*p1-880*p7*p4*p1+1760*p7*p1^3-1320*
p5*p4*p3+2310*p6*p2*p1^2-1155*p6*p4*p2+2640*p5*p3*p1^2+24200*p9*p3+14520*p4*p3*
p2*p1+7425*p4^2*p1^2-1375/2*p4^3+5445/2*p4*p2^3+29040*p7*p5+11/6*(-292320+2160*
n)*p5*p3*p2+11/4*(-241360+2640*n)*p5*p4*p1+55/14*(-105728+672*n)*p7*p2*p1-\
440440*p6*p3*p1+11/2*(-26659040+858360*n-3960*n^2)*p5*p2*p1+55/12*(-33548512+
1128864*n-5808*n^2)*p4*p3*p1+55/16*(1249872-22176*n)*p4*p2*p1^2+55/24*(1631520-\
19008*n)*p3*p2^2*p1+55/6*(-1329824096+108806424*n-2294952*n^2+10032*n^3)*p3*p2*
p1+11/4*(8120-60*n)*p10*p2+55/32*(29040-288*n)*p8*p4+55/9*(1809720-31680*n)*p9*
p1+55/16*(3756720-92520*n+432*n^2)*p8*p2+55/16*(-60720+288*n)*p8*p1^2+55/21*(
5026560-103488*n)*p7*p3+29645/2*p6^2+55/48*(-3662912+81312*n)*p2*p1^4+55/3*(
55548222048-42168108584/3*n+1148949073*n^2-112216186/3*n^3+453343*n^4-1210*n^5)
*p3*p1+55/4*(-11031465888+1913135738*n-101113309*n^2+1863158*n^3-9075*n^4)*p2*
p1^2+55/12*(-14748888+423276*n-924*n^2)*p6*p1^2+11/3*(481440960-28221420*n+
381600*n^2-300*n^3)*p5*p3+11/6*(702960-7920*n)*p5*p1^3+55/32*(-49703784+2104632
*n-24552*n^2)*p4*p2^2+55/36*(-52928640+1815840*n-9504*n^2)*p3^2*p2+55/36*(
1189440-6336*n)*p3^2*p1^2+11*(6633492360-2427855890/3*n+29165530*n^2-984430/3*n
^3+550*n^4)*p5*p1+55/8*(10977706960-1395963282*n+55570233*n^2-846426*n^3+4851*n
^4)*p4*p2+55/8*(-848804720+67560076*n-1366244*n^2+5896*n^3)*p4*p1^2+55/18*(
71307216-3154272*n+17424*n^2)*p3*p1^3+55/16*(99940704-4767048*n+43560*n^2)*p2^2
*p1^2+55/7*(206430840-33749240/3*n+132272*n^2-280/3*n^3)*p7*p1+55/12*(384153000
-23156196*n+373044*n^2-1596*n^3)*p6*p2+55/64*(-574560+12960*n)*p4^2*p2+55/72*(-\
492480+6336*n)*p4*p3^2+55/24*(6657420-186732*n+924*n^2)*p6*p4+55/48*(-226296+
3024*n)*p6*p2^2-825*p14-482630472497261/864*n^3+132532214296823/1152*n^4-49610/
3*p4*p1^4-5445*p2^3*p1^2+26620/3*p1^6+55/12*(-177450+2184*n)*p12+11/10*(6329400
-138600*n)*p5^2+55/18*(12304985880-1549689456*n+58725336*n^2-718776*n^3+1320*n^
4)*p3^2+55/24*(1152243936-384639464/3*n+3732608*n^2-68728/3*n^3)*p1^4+55/8*(
74615450976-19197063497*n+3240566025/2*n^2-57215239*n^3+1781175/2*n^4-5808*n^5)
*p2^2+55/2*(-157784578560+392753988157/3*n-34725972257*n^2+236696683157/60*n^3-\
426649495/2*n^4+67733149/12*n^5-143143/2*n^6+3993/10*n^7)*p2-3229126065385/288*
n^5+316878468115/576*n^6+321246282667585/288*n^2-29040*p3*p2*p1^3-3955003943/
288*n^7+195120607/1152*n^8-805255/864*n^9+55*p10*p4+11/2*(-33783750+3995735/3*n
-10600*n^2+25/3*n^3)*p10+55/32*(530415820-33731104*n+617160*n^2-3560*n^3)*p4^2+
55/6*(-36715158480+13011884655/2*n-1496422809/4*n^2+8506120*n^3-291207/4*n^4+
385/2*n^5)*p6+55/8*(-1986334350+174416638*n-4432788*n^2+34058*n^3-60*n^4)*p8+55
/2*(68254824960-112783023401/3*n+33164641779/5*n^2-1968123317/4*n^3+195056345/
12*n^4-2629693/12*n^5+49247/60*n^6)*p1^2+55/48*(-1875261984+164816712*n-4355208
*n^2+41184*n^3)*p2^3+55/384*(2542320-57024*n)*p2^4+55/4*(-183894328800+
132326439369/2*n-159209505191/20*n^2+4947166555/12*n^3-9713635*n^4+1207151/12*n
^5-8349/20*n^6)*p4
[11, 4, 2]
-1100*p4^2*p3*p1+31296933167104/3*n-2112*p5*p3^2*p1+9240*p6*p4*p2+40656*p6*p5*
p1-1408*p7*p3*p1^2+39600*p5*p4*p3-1848*p6*p3*p2*p1+5500*p4^3-287496*p5*p2^2*p1-\
21780*p4*p2^3-191664*p3^2*p2^2+22/5*(6230500-112200*n)*p5*p4*p1+44/15*(6270120-\
73980*n)*p5*p3*p2+44/15*(-346200+5400*n)*p5*p3*p1^2+44/7*(3556616-58128*n)*p7*
p2*p1+22/9*(2056032-45144*n)*p3*p2*p1^3+11/2*(-37696120+1162400*n-5280*n^2)*p4*
p2*p1^2+11/3*(-47113032+1360062*n-6534*n^2)*p3*p2^2*p1+44/5*(501263420-22382370
*n+222750*n^2)*p5*p2*p1+22/3*(669906244-33938969*n+457215*n^2-1210*n^3)*p4*p3*
p1+44/9*(6576570-156681*n+693*n^2)*p6*p3*p1+11/3*(-138600+1008*n)*p6*p2*p1^2+11
/3*(24156-216*n)*p8*p3*p1+44/81*(-846720+14256*n)*p3^3*p1+11/9*(11221920-205920
*n)*p4*p3^2+44/21*(-103488+1344*n)*p7*p1^3+11/3*(-91540680+2227260*n-4620*n^2)*
p6*p4+11/6*(3095568-12096*n)*p6*p2^2+11/8*(6028800-62400*n)*p4^2*p2+11/8*(-\
255200+1600*n)*p4^2*p1^2+88/9*(-42779946+1372635*n-9405*n^2)*p9*p1+11/2*(-\
52677240+1101168*n-1728*n^2)*p8*p2+11/2*(2869944-65472*n+288*n^2)*p8*p1^2+88/21
*(-85799868+2352504*n-10164*n^2)*p7*p3+88/3*(-635112122688+10263638130421/60*n-\
460703516243/30*n^2+28077435697/48*n^3-465222923/48*n^4+4844477/80*n^5-14641/
240*n^6)*p3*p1+22*(140014324224-82533722273/3*n+10718335169/6*n^2-143722942/3*n
^3+3079087/6*n^4-1331*n^5)*p2*p1^2+88/5*(-87175661672+71696760745/6*n-\
2093210975/4*n^2+52195025/6*n^3-186725/4*n^4)*p5*p1+11*(-131294892080+
17158645572*n-675138967*n^2+8664170*n^3-19855*n^4)*p4*p2+11*(13833870416-\
4281138334/3*n+139549886/3*n^2-1654400/3*n^3+4840/3*n^4)*p4*p1^2+44/9*(-\
1666771032+130222578*n-3161532*n^2+25410*n^3)*p3*p1^3+11/2*(-1902190400+
129878524*n-2387220*n^2+8712*n^3)*p2^2*p1^2+11/6*(123993056-6098400*n+69696*n^2
)*p2*p1^4+88/15*(-6573944520+422996205*n-6933000*n^2+20925*n^3)*p5*p3+44/15*(-\
28064520+993360*n-7920*n^2)*p5*p1^3+11/4*(635886000-22091880*n+106920*n^2)*p4*
p2^2+11/12*(1239040-21120*n)*p4*p1^4+22/9*(827475120-35352432*n+325512*n^2)*p3^
2*p2+22/9*(-54853680+2276064*n-23760*n^2)*p3^2*p1^2+11/12*(1306800-9504*n)*p2^3
*p1^2+88/7*(-3378458314+702616586/3*n-4627042*n^2+78820/3*n^3)*p7*p1+22/3*(-\
4989515916+299844594*n-4166610*n^2+6216*n^3)*p6*p2+22/3*(360885756-18754890*n+
265734*n^2-924*n^3)*p6*p1^2+27104*p6*p3^2+22/5*(-119500+240*n)*p10*p2+22/5*(
5500-40*n)*p10*p1^2+88/27*(-356400+2970*n)*p9*p3+11/4*(-319440+1440*n)*p8*p4-\
743424*p7*p5+8*(-173998+1980*n)*p11*p1-379456*p6^2+88*p10*p3*p1+9680*p4*p3*p1^3
+23232*p3^2*p2*p1^2+4356*p3*p2^3*p1-265751549829304/15*n^2-21296/3*p3*p1^5-\
32473738/15*n^8+9828668344/45*n^7+21120*p14+644204/135*n^9-1232*p13*p1-440*p10*
p4-1056*p11*p3+11/3*(-386700+3960*n)*p4*p3*p2*p1+45760*p7*p4*p1+23232*p7*p3*p2+
29040*p9*p2*p1+44/3*(19192811624-3741652019/2*n+220375023/4*n^2-1088857/2*n^3+
3993/4*n^4)*p3*p2*p1-28237099452122/15*n^4+1213591741033408/135*n^3+44/5*(
471350880-57202480/3*n+148620*n^2-80/3*n^3)*p10+22/3*(2708160-32760*n)*p12+44/3
*(425196932160-78037481984*n+4627764722*n^2-105411096*n^3+788074*n^4-616*n^5)*
p6+44*(1609634073600-8157197148415/6*n+3687835837513/10*n^2-5142123349061/120*n
^3+56273726275/24*n^4-479958325/8*n^5+74471749/120*n^6-41261/30*n^7)*p2+44/25*(
-92954400+2079000*n)*p5^2+11/4*(-6937272320+439516920*n-6910600*n^2+17200*n^3)*
p4^2+44*(-718342732800+12383482352747/30*n-6992698312963/90*n^2+2300087096903/
360*n^3-18152685551/72*n^4+1724222291/360*n^5-14165833/360*n^6+14641/180*n^7)*
p1^2+11/6*(22777245696-1957557204*n+42593364*n^2-163152*n^3)*p2^3+22*(
1981479951360-732412863767*n+272141674609/3*n^2-57626421823/12*n^3+1337259041/
12*n^4-11647757/12*n^5+5929/4*n^6)*p4+11*(-826113746304+218649244686*n-\
18796940439*n^2+646772878*n^3-8283385*n^4+21780*n^5)*p2^2+11/3*(-18935376768+
8516308088/3*n-141838400*n^2+8687800/3*n^3-21296*n^4)*p1^4+11/48*(-30773952+
228096*n)*p2^4+11/90*(-4727712+116160*n)*p1^6+11*(25117572480-2292446552*n+
59354736*n^2-419656*n^3+192*n^4)*p8+44/9*(-149327045472+19932628908*n-825272181
*n^2+12153540*n^3-48147*n^4)*p3^2-137460708836/15*n^6+8384020657892/45*n^5
[11, 3, 3]
-47916*p1^6+33*(8079431728-782708876*n+24527098*n^2-325160*n^3+1650*n^4)*p3*p2*
p1+10448549345322*n-836352*p7*p5-14256*p5*p3*p1^2+10890*p4*p2^2*p1^2+26136*p3*
p2^3*p1+11099088*p6*p3*p1-347886*p6*p2*p1^2-61875*p4^2*p1^2+11880*p5*p4*p3+
1562352*p3*p2*p1^3-1089000*p4*p3*p2*p1-7986*p2^2*p1^4+39204*p5^2*p2-2574*p12*p2
+99/4*(-61990751152+26655481352/3*n-1319701406/3*n^2+10166003*n^3-358180/3*n^4+
1705/3*n^5)*p4*p2+99/7*(1872304-31024*n+112*n^2)*p7*p2*p1+99/10*(1375600-6600*n
)*p5*p4*p1+33/5*(5302680-99720*n+360*n^2)*p5*p3*p2+99/20*(-244000+2640*n)*p5*p2
^2*p1-495*p10*p4+99/5*(223819240-10339240*n+142180*n^2-660*n^3)*p5*p2*p1+99*p10
*p2^2+99/4*(4601218288-1145840354/3*n+8864460*n^2-212740/3*n^3+110*n^4)*p4*p1^2
+11*(-372191856+15528480*n-90024*n^2)*p3*p1^3+33/2*(206824000-6800640*n+43560*n
^2)*p4*p3*p1+99/8*(-11974920+280720*n-880*n^2)*p4*p2*p1^2+33/4*(-30673024+
1077120*n-8976*n^2)*p3*p2^2*p1+99/8*(-770555008+163555700/3*n-1227908*n^2+28072
/3*n^3)*p2^2*p1^2+33/8*(23425600-640816*n+1936*n^2)*p2*p1^4+66*(-272628245824+
72931175408*n-6521758626*n^2+254665266*n^3-9639185/2*n^4+46046*n^5-363/2*n^6)*
p3*p1+99/2*(56371407872-31772366215/3*n+3937140847/6*n^2-53157874/3*n^3+1393073
/6*n^4-3751/3*n^5)*p2*p1^2-4993349438377641/280*n^2-755896559715/64*n^6-432432*
p11*p1+13334170387263/64*n^5-315987007936787/160*n^4+5131193918417171/560*n^3+
99/16*(-159720+720*n)*p8*p4+99/32*(32208-288*n)*p8*p2^2+99/10*(-225580+2770*n-\
10*n^2)*p10*p2-696960*p9*p3+594*p10*p1^2-2147487309/280*n^8+61771765539/160*n^7
+198/7*(-1227408952+71490048*n-1162742*n^2+7588*n^3-14*n^4)*p7*p1+33/2*(-\
2742732828+204822317*n-10350459/2*n^2+58135*n^3-525/2*n^4)*p6*p2+33/2*(84469308
-2352630*n+11550*n^2)*p6*p1^2+66/5*(-2991616320+190665960*n-3511005*n^2+24390*n
^3-45*n^4)*p5*p3+33/5*(-3130800+11880*n)*p5*p1^3+22*(-11927520+214830*n-990*n^2
)*p9*p1+99/8*(-41900496+1500756*n-16908*n^2+72*n^3)*p8*p2+99/8*(317592-432*n)*
p8*p1^2+66/7*(-36072960+779856*n-3696*n^2)*p7*p3+33/4*(-44476740+1118250*n-6930
*n^2)*p6*p4+33/8*(6954360-196980*n+1428*n^2)*p6*p2^2-9504*p7*p1^3-2475/2*p4^2*
p2^2-2079*p6*p2^3+11/8*(-562176+6336*n)*p3^2*p2^2+11/2*(-6767424+9504*n)*p3^2*
p1^2+33/16*(1698576-34848*n)*p2^3*p1^2+99/32*(6426800-137200*n+400*n^2)*p4^2*p2
+11/4*(3147840-15840*n)*p4*p3^2+33/32*(-921120+15840*n)*p4*p2^3-2376*p5*p3*p2^2
+7920*p7*p4*p1+69696*p7*p3*p2-1584*p7*p2^2*p1+86625*p6*p4*p2+12375/2*p4^3-\
426888*p6^2+99/16*(521884432-95471216/3*n+636200*n^2-12760/3*n^3)*p4*p2^2+11/2*
(465805272-22878432*n+335376*n^2-1584*n^3)*p3^2*p2+105270*p4*p1^4-161051/320*n^
10+40658057/448*n^9+9801/2*p2^5+198/5*(-35514204880+4643073580*n-193501820*n^2+
6680895/2*n^3-26930*n^4+165/2*n^5)*p5*p1+23760*p14+33*(190811100480-72429383829
/2*n+2340220238*n^2-543529819/8*n^3+8108009/8*n^4-65009/8*n^5+231/8*n^6)*p6+
43560*p9*p2*p1+11*(-67186289280+9170078490*n-405780906*n^2+7524498*n^3-63900*n^
4+198*n^5)*p3^2+99/4*(-372602321152+519360157969/5*n-907736033777/90*n^2+
1388741111/3*n^3-208238725/18*n^4+2427458/15*n^5-45859/45*n^6)*p2^2+99*(
714231705600-21321880490172/35*n+20313106981757/120*n^2-935665682821/45*n^3+
1863481412273/1440*n^4-4018871207/90*n^5+658239373/720*n^6-6945521/630*n^7+
89177/1440*n^8)*p2+33/2*(1332240-16458*n+78*n^2)*p12+99/4*(11553862320-\
1098678075*n+67450731/2*n^2-454734*n^3+6225/2*n^4-9*n^5)*p8+99/25*(-45091200+
1044450*n-4950*n^2)*p5^2+99/16*(-3245644160+643896880/3*n-4361650*n^2+105500/3*
n^3-50*n^4)*p4^2+33/8*(13289164320-1560953872*n+66809676*n^2-1329812*n^3+10824*
n^4)*p2^3+99/2*(879578685440-1992339416689/6*n+1550752283201/36*n^2-30505122007
/12*n^3+2774274725/36*n^4-7800149/6*n^5+220429/18*n^6-605/12*n^7)*p4+33/4*(-\
5718916864+642420372*n-19345238*n^2+163108*n^3-242*n^4)*p1^4+99*(-313825075200+
1790589405957/10*n-333242816147/10*n^2+21645088279/8*n^3-2573007581/24*n^4+
264164461/120*n^5-2861771/120*n^6+1331/12*n^7)*p1^2+99/5*(224464240-18851445/2*
n+468395/4*n^2-1355/2*n^3+5/4*n^4)*p10+33/64*(-82483008+4332240*n-61776*n^2)*p2
^4
[11, 3, 2, 2]
76032*p7*p2^2*p1+63360*p7*p3*p1^2-175126036884480*n+29040*p9*p1^3+103488*p6*p3*
p2*p1+50820*p6*p4*p1^2+87120*p5*p4*p2*p1+26136*p5^2*p1^2-2112*p7*p2*p1^3+8316*
p6*p2^3+13200*p4^2*p3*p1+9504*p5*p3*p2^2+25344*p5*p3^2*p1+4950*p4^2*p2^2-2772*
p6*p2^2*p1^2-3168*p5*p3*p2*p1^2-3168*p11*p2*p1-325248*p6*p3^2-947100*p6*p4*p2-\
1829520*p6*p5*p1-1068672*p7*p3*p2-1805760*p7*p4*p1-444312*p5^2*p2-1650*p4^2*p2*
p1^2-443520*p5*p4*p3-49500*p4^3+44/3*(-233640+1980*n)*p9*p2*p1+11*(-201168+864*
n)*p8*p3*p1+33/4*(17688-144*n)*p8*p2*p1^2+44/5*(4849380-67860*n+180*n^2)*p5*p3*
p1^2+11*(5112660-105756*n+588*n^2)*p6*p2*p1^2+66/5*(-67835100+1283700*n-3300*n^
2)*p5*p4*p1+44/5*(-69792900+1044180*n-900*n^2)*p5*p3*p2+132/7*(-58415448+
1473696*n-8904*n^2)*p7*p2*p1+44/3*(-63886284+1339128*n-5544*n^2)*p6*p3*p1+11*(
679669032-27344064*n+269280*n^2)*p3*p2^2*p1+22/3*(-46848792+1473912*n-11088*n^2
)*p3*p2*p1^3+44*(-148945923624+16146057818*n-573544922*n^2+8405386*n^3-46618*n^
4)*p3*p2*p1+132/5*(-5106493680+281964550*n-4666020*n^2+25850*n^3)*p5*p2*p1+22*(
-5794867572+301811876*n-4417380*n^2+19360*n^3)*p4*p3*p1+33/2*(551188192-\
72165868/3*n+312500*n^2-4400/3*n^3)*p4*p2*p1^2+33/8*(-454880+5280*n)*p4*p2^2*p1
^2+11/3*(-391968+3168*n)*p3^2*p2*p1^2+33/5*(6274680-95040*n)*p5*p2^2*p1+22/5*(-\
322440+3960*n)*p5*p2*p1^3+18957312*p7*p5+24*(2181234-24882*n+66*n^2)*p11*p1+66/
5*(2385420-21745*n+25*n^2)*p10*p2+66/5*(-157380+1445*n-5*n^2)*p10*p1^2+88/9*(
2280960-11880*n)*p9*p3+33/4*(2352240-4320*n)*p8*p4+33/8*(-201168+864*n)*p8*p2^2
+9676128*p6^2+264/7*(27562245942-2066169504*n+48411384*n^2-455490*n^3+1722*n^4)
*p7*p1+22*(39708180996-2675376998*n+103674249/2*n^2-347767*n^3+1281/2*n^4)*p6*
p2+22*(-3658222524+216554968*n-8054571/2*n^2+32081*n^3-231/2*n^4)*p6*p1^2+88/5*
(47817050160-3085138200*n+53357190*n^2-260400*n^3+90*n^4)*p5*p3+44/27*(5686848-\
57024*n)*p3^3*p1+11/6*(5241024-19008*n)*p3^2*p2^2+11/2*(-66649800+1268064*n-\
4032*n^2)*p6*p2^2+33/8*(-71786400+1028200*n-1000*n^2)*p4^2*p2+33/8*(4790400-\
57800*n+200*n^2)*p4^2*p1^2+11/3*(-69258240+792000*n)*p4*p3^2+11/8*(5709600-\
47520*n)*p4*p2^3+88/3*(424714950-14712885*n+140580*n^2-495*n^3)*p9*p1+33/2*(
549905796-15718470*n+109770*n^2-180*n^3)*p8*p2+33/2*(-41845716+1124094*n-9282*n
^2+36*n^3)*p8*p1^2+88/7*(641984112-15648864*n+70224*n^2)*p7*p3+44/7*(3053736-\
48552*n+168*n^2)*p7*p1^3+11*(716072280-16420740*n+50820*n^2)*p6*p4+33*(-\
110136558288+37683102628/3*n-1438756129/3*n^2+7893189*n^3-181775/3*n^4+605/3*n^
5)*p4*p1^2+44/3*(15791326776-1402360782*n+40685538*n^2-480678*n^3+2178*n^4)*p3*
p1^3+33/2*(19257776400-5079047908/3*n+49649092*n^2-1789700/3*n^3+2420*n^4)*p2^2
*p1^2+11/2*(-1750348560+120123608*n-2570040*n^2+19360*n^3)*p2*p1^4+88*(
4018127466624-11322774071563/10*n+6507063328129/60*n^2-4613052061*n^3+
1146320159/12*n^4-9824947/10*n^5+64009/15*n^6)*p3*p1+66*(-954810192576+
6110334953339/30*n-2706077214497/180*n^2+3029567045/6*n^3-304555471/36*n^4+
346786/5*n^5-9317/45*n^6)*p2*p1^2+11/4*(-31086000+762960*n-2640*n^2)*p4*p1^4+22
/3*(-6932819532+314240184*n-3473424*n^2+3960*n^3)*p3^2*p2+22/3*(576783180-\
23369688*n+255600*n^2-792*n^3)*p3^2*p1^2+11/4*(-60783072+2022768*n-14256*n^2)*
p2^3*p1^2+11/8*(3264096-69696*n)*p2^2*p1^4+264/5*(613298876520-179062625845/2*n
+17402584475/4*n^2-90484025*n^3+3481285/4*n^4-6985/2*n^5)*p5*p1+33*(
901515621072-375225483920/3*n+16616964005/3*n^2-97361235*n^3+2056435/3*n^4-4015
/3*n^5)*p4*p2+44/5*(395515020-17148390*n+214260*n^2-990*n^3)*p5*p1^3+33/4*(-\
6492006672+311044536*n-3950440*n^2+11440*n^3)*p4*p2^2-223608*p6*p1^4-755040*p4*
p3*p1^3+14520*p4*p2*p1^4+34848*p3*p2^2*p1^3-731808*p3*p2^3*p1-19602*p2^5+6534*
p2^4*p1^2+10488516586276619/35*n^2-538560*p14-410002810543667/120*n^5+
21715895318711/120*n^6+1022208*p3*p1^5+29172*p12*p2+3960*p10*p4-396*p10*p2^2+
55440*p13*p1+33*(-177085708800+16660670994*n-469414515*n^2+4782852*n^3-19509*n^
4+18*n^5)*p8+11/16*(730594368-25765344*n+180576*n^2)*p2^4+132/5*(-3618494880+
148004245*n-2925715/2*n^2+5015*n^3-5/2*n^4)*p10+132/25*(742988400-16671600*n+
39600*n^2)*p5^2+66*(-12022335998400+13711802975383/3*n-3530606072243/6*n^2+
199272196103/6*n^3-5311374361/6*n^4+11187053*n^5-63118*n^6+605/6*n^7)*p4+132*(-\
9286587878400+1118759859561663/140*n-160423288547435/72*n^2+38852449159571/144*
n^3-1524083480659/96*n^4+341576757781/720*n^5-173496631/24*n^6+6713443/126*n^7-\
38599/288*n^8)*p2+132*(4240872115200-352801235962531/140*n+179260230688769/360*
n^2-31775502562979/720*n^3+949826294833/480*n^4-34343271017/720*n^5+12623567/20
*n^6-1346972/315*n^7+14641/1440*n^8)*p1^2+11/30*(112994640-4196280*n+14520*n^2)
*p1^6-10648*p2*p1^6-303591609607/60*n^7+7795209136/105*n^8-450664621/840*n^9+
161051/120*n^10-1056*p10*p3*p1+12672*p11*p3-1716*p12*p1^2+132*p10*p2*p1^2+11*(
6061200-73920*n)*p4*p3*p2*p1+22*(-22276800+262704*n-624*n^2)*p12+44/3*(
1003766919408-137960988144*n+5965963956*n^2-98942676*n^3+595740*n^4-396*n^5)*p3
^2+44*(-2761765166160+524319489749*n-32797455739*n^2+3388908635/4*n^3-37752029/
4*n^4+179585/4*n^5-231/4*n^6)*p6+33/4*(50776434720-3253259760*n+54970100*n^2-\
249000*n^3+100*n^4)*p4^2+33*(5182316620224-21514959312067/15*n+3982495790527/30
*n^2-5321100497*n^3+199216719/2*n^4-12836318/15*n^5+36784/15*n^6)*p2^2+11*(
146941006272-24878751758*n+1471418015*n^2-39181164*n^3+496705*n^4-2662*n^5)*p1^
4+11/2*(-179876523600+18464412876*n-601772988*n^2+7572444*n^3-28908*n^4)*p2^3+
663285957408041/20*n^4-32438585130460003/210*n^3
[11, 2, 2, 2, 2]
-2247168*p6*p3*p2*p1-5691840*p6*p4*p1^2+3112250144796672*n-1748736*p7*p2^2*p1-\
5429248*p7*p3*p1^2-114048*p5*p3*p2^2-337920*p5*p3^2*p1-2090880*p5*p4*p2*p1-\
2927232*p5^2*p1^2-99792*p6*p2^3-2816*p7*p1^5+236544*p7*p2*p1^3-59400*p4^2*p2^2-\
176000*p4^2*p3*p1+216832*p6*p3*p1^3+66528*p6*p2^2*p1^2-3696*p6*p2*p1^4+76032*p5
*p3*p2*p1^2+232320*p5*p4*p1^3+17851680*p6*p4*p2+78059520*p6*p5*p1+19329024*p7*
p3*p2+74933760*p7*p4*p1+4336640*p6*p3^2-4224*p5*p3*p1^4+5533440*p5*p4*p3+
8781696*p5^2*p2+39600*p4^2*p2*p1^2+462000*p4^3-2200*p4^2*p1^4+704/3*(445500-\
2970*n)*p9*p2*p1+176*(429000-720*n)*p8*p3*p1+132*(-52668+216*n)*p8*p2*p1^2+176/
3*(2067120-29040*n)*p4*p3*p1^3+1056/5*(150177400-3055800*n+3300*n^2)*p5*p4*p1+
704/5*(92052300-1155780*n+540*n^2)*p5*p3*p2+704/5*(-18182180+325140*n-180*n^2)*
p5*p3*p1^2+528/5*(-11149920+136620*n)*p5*p2^2*p1+352/5*(1858440-27720*n)*p5*p2*
p1^3+2112/7*(116474036-2790312*n+12180*n^2)*p7*p2*p1+704/3*(135222780-2792538*n
+5082*n^2)*p6*p3*p1+176*(-15954834+322371*n-819*n^2)*p6*p2*p1^2+2112/5*(
9071830700-524871675*n+8186730*n^2-31845*n^3)*p5*p2*p1+352*(10464159600-\
1745123690/3*n+8127350*n^2-55660/3*n^3)*p4*p3*p1+264*(-1374241892+68077519*n-\
862885*n^2+1870*n^3)*p4*p2*p1^2+176*(-1212955744+46393908*n-353232*n^2)*p3*p2^2
*p1+352/3*(179780520-7229640*n+63360*n^2)*p3*p2*p1^3+176/3*(1112256-4752*n)*p3^
2*p2*p1^2+66*(1153560-7920*n)*p4*p2^2*p1^2+22*(-163220+1320*n)*p4*p2*p1^4-\
2365440*p13*p1+22*(9636-72*n)*p8*p1^4+384*(-5245900+60654*n-66*n^2)*p11*p1+1056
/5*(-3196750+26055*n-15*n^2)*p10*p2+1056/5*(765330-8665*n+5*n^2)*p10*p1^2+1408/
9*(-2977920+9900*n)*p9*p3+704/9*(-97020+990*n)*p9*p1^3+132*(-3346860+2520*n)*p8
*p4+66*(229284-648*n)*p8*p2^2-576576*p12*p2+44/15*(2032800-43560*n)*p2*p1^6+
4224/7*(-45987195100+11161439450/3*n-90585656*n^2+2234134/3*n^3-1708*n^4)*p7*p1
+352*(-54403760334+3586187136*n-63813792*n^2+340914*n^3-378*n^4)*p6*p2+352*(
8244509658-579033427*n+24684093/2*n^2-87059*n^3+231/2*n^4)*p6*p1^2+1408/5*(-\
65805587760+4166137230*n-65624125*n^2+222040*n^3-45*n^4)*p5*p3+704/5*(-\
1352724540+81514005*n-1452640*n^2+7645*n^3)*p5*p1^3+176/3*(88770720-636240*n)*
p4*p3^2+22*(-6414660+35640*n)*p4*p2^3+704/27*(-10488960+47520*n)*p3^3*p1+88/3*(
-5760288+14256*n)*p3^2*p2^2+88/9*(-175392+1584*n)*p3^2*p1^4+88*(87393474-\
1442259*n+2835*n^2)*p6*p2^2+88/3*(2392698-54999*n+231*n^2)*p6*p1^4+176/25*(-\
232400+3300*n)*p5*p1^5+66*(96237000-1134600*n+600*n^2)*p4^2*p2+66*(-19402000+
346600*n-200*n^2)*p4^2*p1^2+1408/3*(-854855760+31844340*n-271755*n^2+495*n^3)*
p9*p1+264*(-768656328+20510514*n-117702*n^2+108*n^3)*p8*p2+264*(134075304-\
4509222*n+35130*n^2-36*n^3)*p8*p1^2+1408/7*(-905695560+20286112*n-59752*n^2)*p7
*p3+704/7*(-19222140+557872*n-3556*n^2)*p7*p1^3+176*(-1032101070+22525545*n-\
40425*n^2)*p6*p4-454975488*p7*p5+76032*p11*p2*p1+14080*p10*p3*p1-3168*p10*p2*p1
^2+4224/5*(-873360676760+405360634625/3*n-13920431285/2*n^2+444299710/3*n^3-\
2546185/2*n^4+3410*n^5)*p5*p1+528*(-1173594787376+326206763507/2*n-28145003017/
4*n^2+225436019/2*n^3-2498475/4*n^4+770*n^5)*p4*p2+528*(188078446344-\
24258651523*n+3170326505/3*n^2-57090967/3*n^3+396220/3*n^4-605/3*n^5)*p4*p1^2+
704/3*(-34882097736+3799462036*n-277850667/2*n^2+2015200*n^3-18997/2*n^4)*p3*p1
^3+264*(-36272803216+3556984989*n-223459969/2*n^2+1257025*n^3-6171/2*n^4)*p2^2*
p1^2+88*(5389440128-2981609387/6*n+59537885/4*n^2-951181/6*n^3+1331/4*n^4)*p2*
p1^4+1408*(-5091025320000+8941066296677/6*n-1341941369720/9*n^2+158709496085/24
*n^3-9975776785/72*n^4+31190423/24*n^5-291247/72*n^6)*p3*p1+1056*(1331942157792
-6149156945591/20*n+498495622467/20*n^2-44070028775/48*n^3+774010237/48*n^4-\
29169833/240*n^5+54571/240*n^6)*p2*p1^2+132*(8862675456-397677477*n+4216515*n^2
-7590*n^3)*p4*p2^2+44*(196363464-29370449/3*n+133265*n^2-1210/3*n^3)*p4*p1^4+
352/3*(9444467196-395887128*n+3492864*n^2-2376*n^3)*p3^2*p2+352/3*(-1481691988+
70762584*n-812640*n^2+792*n^3)*p3^2*p1^2+176/15*(-23537920+888360*n-7260*n^2)*
p3*p1^5+44*(142988040-4499550*n+20790*n^2)*p2^3*p1^2+22*(-18978736+558690*n-\
2178*n^2)*p2^2*p1^4-232227072*p6^2+19360*p4*p1^6-2369664*p3*p2^2*p1^3+15751296*
p3*p2^3*p1-80196401266976104/15*n^2+46464*p3*p2*p1^5+235224*p2^5-156816*p2^4*p1
^2+8712*p2^3*p1^4+704*(226063741208-77947299895/3*n+952665827*n^2-39042971/3*n^
3+51623*n^4)*p3*p2*p1-9625413862163/3*n^6+308093738545549/5*n^5-42592/3*p1^8+
1280744085302/15*n^7-5595465436/5*n^8-36960*p10*p4-8448*p11*p1^3+12925440*p14+
352*(32858280-371826*n+546*n^2)*p12+528*(238318320240-22361377511*n+1213557975/
2*n^2-5395972*n^3+32529/2*n^4-9*n^5)*p8+704*(3503341181340-1340537781737/2*n+
41603310581*n^2-8223028863/8*n^3+80326505/8*n^4-290773/8*n^5+231/8*n^6)*p6+2112
/25*(-1079139600+23596650*n-34650*n^2)*p5^2+88*(238765954368-48140239671/2*n+
2928037887/4*n^2-15504093/2*n^3+76329/4*n^4)*p2^3+528*(-6360881466816+
35625055399963/20*n-3294541896261/20*n^2+102684421597/16*n^3-1761497367/16*n^4+
62053123/80*n^5-116281/80*n^6)*p2^2+2112/5*(5136751620-1236078155/6*n+7253375/4
*n^2-25915/6*n^3+5/4*n^4)*p10+1056*(14418321306480-22188238475681/4*n+
2154755518013/3*n^2-1926998949379/48*n^3+49125284969/48*n^4-183370655/16*n^5+
2391719/48*n^6-605/12*n^7)*p4+132*(-70105962080+4428384710*n-68587500*n^2+
201000*n^3-50*n^4)*p4^2+11*(-937072800+28586844*n-131868*n^2)*p2^4+704/3*(-\
1307264642640+180020643002*n-7570520260*n^2+112965594*n^3-499654*n^4+198*n^5)*
p3^2+124858116179598604/45*n^3-8984141166051722/15*n^4+292073309/45*n^9-161051/
15*n^10+176*p10*p1^4+4752*p10*p2^2+176*(-11310440+100320*n)*p4*p3*p2*p1-168960*
p11*p3+192192*p12*p1^2+2112*(-5000281372800+9204071117879/3*n-228028212539467/
360*n^2+2141441596181/36*n^3-4118980094669/1440*n^4+5305897201/72*n^5-718271851
/720*n^6+445885/72*n^7-14641/1440*n^8)*p1^2+2112*(10633405507200-\
138750411108679/15*n+52123321999883/20*n^2-9510919556521/30*n^3+4433095710557/
240*n^4-63592487173/120*n^5+218463553/30*n^6-5206751/120*n^7+17303/240*n^8)*p2+
176*(-254231807904+3052699986581/60*n-667483586011/180*n^2+6066531559/48*n^3-\
300180551/144*n^4+3475241/240*n^5-14641/720*n^6)*p1^4+88/15*(-760888320+
63312810*n-1650440*n^2+13310*n^3)*p1^6
[10, 6]
-11133696000*n^5+114815284500*n^4-558268950000*n^3-28800*p3*p2*p1^3+
1115247054000*n^2+364500*p2^4-661183560000*n-32400*p2^3*p1^2+536205000*n^6+5/2*
(1901520-25920*n)*p3*p2^2*p1+10*(-1226768580+102176544*n-2314680*n^2+13920*n^3)
*p3*p2*p1+5*(-30531600+1021200*n-6240*n^2)*p4*p3*p1+15/4*(1042560-9600*n)*p4*p2
*p1^2+6*(-25350360+862720*n-5880*n^2)*p5*p2*p1-172800*p8*p1^2+5040*p6*p2*p1^2+
27000*p8*p4+4800*p5*p3*p1^2+11880*p5*p2^2*p1+7200*p4*p3*p2*p1-270000*p4^2*p2+15
/4*(91823328-4367040*n+37440*n^2)*p2^2*p1^2+5/4*(-2727360+38400*n)*p2*p1^4+20*(
50964208896-12933951272*n+1067918542*n^2-35998436*n^3+492630*n^4-2200*n^5)*p3*
p1+15*(-10101536904+1754780784*n-93529392*n^2+1772480*n^3-9200*n^4)*p2*p1^2+5*(
-12982200+362544*n-1008*n^2)*p6*p1^2+4*(450188925-27827760*n+494580*n^2-2800*n^
3)*p5*p3+2*(500100-4000*n)*p5*p1^3+5*(349958616-20163360*n+267120*n^2)*p6*p2+60
/7*(189622272-10580780*n+144508*n^2-336*n^3)*p7*p1+30/7*(-123480+672*n)*p7*p2*
p1+10/3*(-147420+1008*n)*p6*p3*p1-1200*p5*p4*p3+15/8*(-43142400+1296000*n)*p4*
p2^2+5/3*(-51852600+1955520*n-17280*n^2)*p3^2*p2+5/3*(1108800-11520*n)*p3^2*p1^
2+12*(6087412980-2244910690/3*n+83793280/3*n^2-1090220/3*n^3+3950/3*n^4)*p5*p1+
15/2*(10020223440-1257007840*n+47313600*n^2-552000*n^3)*p4*p2+15/2*(-770031360+
60867040*n-1223680*n^2+4800*n^3)*p4*p1^2+10/3*(62595900-2697360*n+18240*n^2)*p3
*p1^3+12/7*(26250-280*n)*p7*p5-1080*p5^2*p2+18720*p11*p1+23760*p10*p2+20/9*(
12555-108*n)*p9*p3+3*(-193200+2000*n)*p5*p4*p1+2*(-355200+5760*n)*p5*p3*p2+20/3
*(1681380-32022*n+54*n^2)*p9*p1+15/4*(3445920-69120*n)*p8*p2+20/7*(4879350-\
127680*n+672*n^2)*p7*p3+5/2*(5426400-117600*n)*p6*p4-264600*p6*p2^2+14700*p6^2+
5/6*(-381600+5760*n)*p4*p3^2+60*p9*p5-840*p6*p5*p1-360*p9*p2*p1+112500*n^8-\
12450000*n^7+15/2*(-1821019200+159793968*n-4101120*n^2+30720*n^3)*p8+15/8*(
473121600-27824000*n+384000*n^2)*p4^2-900*p14+10*(-33656272650+5963543404*n-\
342567148*n^2+7700840*n^3-58100*n^4)*p6+10/3*(11351574450-1450855260*n+58171644
*n^2-887520*n^3+4800*n^4)*p3^2+5/4*(-1692364320+139449600*n-2721600*n^2)*p2^3+5
*(-163800+2184*n)*p12+6/5*(6276900-191900*n+1500*n^2)*p5^2+6*(-30930900+1231780
*n-10560*n^2)*p10+15*(-168564559800+181934467664/3*n-21863897120/3*n^2+
1124159920/3*n^3-25468000/3*n^4+70000*n^5)*p4+15/2*(68272877928-17497866560*n+
1454393520*n^2-48170400*n^3+558000*n^4)*p2^2+5/2*(1040133000-113798240*n+
3213280*n^2-19200*n^3)*p1^4+30*(-144640218240+359963053528/3*n-95399889916/3*n^
2+10798943960/3*n^3-575314700/3*n^4+4762000*n^5-45000*n^6)*p2+30*(62600307840-\
103522326808/3*n+6102322404*n^2-1367402752/3*n^3+15373460*n^4-661000/3*n^5+1000
*n^6)*p1^2
[10, 5, 2]
31298538880000/3*n-672000*p5*p3*p1^2-45000*p4*p2^3-320000/3*p3^3*p1-\
159487955650000/9*n^2+36000*p8*p3*p1+50/9*(6660-54*n)*p9*p2*p1-2000*p4^2*p3*p1+
21000*p6*p4*p2-1800*p5*p4*p2*p1+50/7*(3516520-69580*n+336*n^2)*p7*p2*p1+50/9*(
4551120-70560*n)*p6*p3*p1+25/6*(-154560+1008*n)*p6*p2*p1^2+5*(6250460-140360*n+
600*n^2)*p5*p4*p1+10/3*(4492800-54000*n)*p5*p3*p2+5/2*(-180000+2160*n)*p5*p2^2*
p1+25/6*(-40634400+1125360*n-8640*n^2)*p3*p2^2*p1+25/9*(1730160-17280*n)*p3*p2*
p1^3+25/3*(564819320-26160784*n+309480*n^2-1000*n^3)*p4*p3*p1+25/4*(-37559488+
1227200*n-9600*n^2)*p4*p2*p1^2+10*(461062540-21379660*n+268260*n^2-1050*n^3)*p5
*p2*p1+100/9*(-38268426+2349957/2*n-7686*n^2+15/2*n^3)*p9*p1+25/4*(-48717600+
1190160*n-4320*n^2)*p8*p2+25/4*(2701920-46080*n)*p8*p1^2+25/7*(23240-224*n)*p7*
p4*p1+50/3*(16920616360-1624927190*n+46669236*n^2-473810*n^3+1800*n^4)*p3*p2*p1
+100/21*(-66404100+1576680*n-3360*n^2)*p7*p3+50/21*(-130200+672*n)*p7*p1^3+25/6
*(-82568472+2246160*n-8400*n^2)*p6*p4+25/12*(3124800-30240*n)*p6*p2^2+100/7*(-\
2978634610+607594099/3*n-11656792/3*n^2+69797/3*n^3-140/3*n^4)*p7*p1+25/3*(-\
4465279560+277622688*n-4429320*n^2+14700*n^3)*p6*p2+25/16*(6508800-120000*n)*p4
^2*p2+25/16*(-391040+6400*n)*p4^2*p1^2+25/18*(6271200-86400*n)*p4*p3^2+25/12*(
122484928-5663200*n+48000*n^2)*p2*p1^4+2800*p6*p1^4+20*(-76626966680+
62574566825/6*n-1357328335/3*n^2+45399085/6*n^3-145775/3*n^4+125*n^5)*p5*p1+25/
2*(-116113730288+15286257600*n-622387840*n^2+9125000*n^3-40000*n^4)*p4*p2+25/3*
(323167992-15439732*n+168672*n^2-140*n^3)*p6*p1^2+20/3*(-5650774650+354306180*n
-5653200*n^2+18000*n^3)*p5*p3+10/3*(-27138180+787080*n-1800*n^2)*p5*p1^3+25/8*(
596237280-23836800*n+216000*n^2)*p4*p2^2+25/24*(1778240-32000*n)*p4*p1^4+25/9*(
663706800-24786000*n+172800*n^2)*p3^2*p2+25/9*(-39175200+979200*n)*p3^2*p1^2+25
/24*(1728000-25920*n)*p2^3*p1^2-200*p9*p1^3+10800*p5^2*p2-1100*p10*p4+100/3*(-\
558282170880+449932621225/3*n-13395492289*n^2+1518421982/3*n^3-25094725/3*n^4+
57575*n^5-500/3*n^6)*p3*p1+25*(123157467648-72304780960/3*n+4651273336/3*n^2-\
123131720/3*n^3+1367600/3*n^4-2000*n^5)*p2*p1^2+25/2*(12175985488-3676158848/3*
n+112992080/3*n^2-1214800/3*n^3+4000/3*n^4)*p4*p1^2+50/9*(-1455001560+102423432
*n-1807320*n^2+3600*n^3)*p3*p1^3+25/4*(-1756621280+121795024*n-2411520*n^2+
15600*n^3)*p2^2*p1^2+100/11*(-161590+1716*n)*p11*p1+5*(-121000+660*n)*p10*p2+
100/27*(-181170+540*n)*p9*p3+25/8*(-351840+2880*n)*p8*p4+100*p9*p4*p1+12500*p4^
3-392000*p6^2+3600*p5*p2*p1^3+20/7*(-325500+1680*n)*p7*p5-1400*p13*p1+12000*p4*
p3*p1^3+9000*p4*p2^2*p1^2-16000*p3*p1^5-18000*p2^2*p1^4+312500/27*n^9+25/6*(-\
283920+4320*n)*p4*p3*p2*p1-600*p9*p5+28600*p10*p1^2+50400*p6*p5*p1-1400*p6*p4*
p1^2+36000*p5*p4*p3+24000*p14+10*(415134720-51797845/3*n+148940*n^2-275/3*n^3)*
p10+5/36*(-6916800+192000*n)*p1^6+50*(1416415279104-3590024581064/3*n+
974857051654/3*n^2-113726771720/3*n^3+2103539050*n^4-56345750*n^5+2037500/3*n^6
-8750/3*n^7)*p2+25/96*(-32832000+518400*n)*p2^4+50/3*(374209451616-68677146867*
n+4105624082*n^2-97182575*n^3+843850*n^4-1750*n^5)*p6+25/2*(-728272915200+
193359039644*n-16823728920*n^2+603777500*n^3-8953000*n^4+45000*n^5)*p2^2+50*(-\
631723567104+1088193511048/3*n-204473156882/3*n^2+50267695124/9*n^3-657318130/3
*n^4+37382450/9*n^5-36500*n^6+1250/9*n^7)*p1^2-84471025000/9*n^6+1689647697500/
9*n^5-8187500/3*n^8+2115625000/9*n^7-16983183962500/9*n^4+242904765400000/27*n^
3+25*(1743741417600-644660907530*n+240072418820/3*n^2-12849673930/3*n^3+
103586700*n^4-3140000/3*n^5+10000/3*n^6)*p4+25/3*(2446080-32760*n)*p12+25/8*(-\
6111356960+395095120*n-6904000*n^2+30000*n^3)*p4^2+25/2*(22090548480-2023376300
*n+54084120*n^2-436180*n^3+600*n^4)*p8+2*(-84963900+2285400*n-9000*n^2)*p5^2+25
/6*(-16594357248+7275796408/3*n-336477280/3*n^2+5534600/3*n^3-20000/3*n^4)*p1^4
+25/12*(20642978400-1851248160*n+46677600*n^2-342000*n^3)*p2^3+50/9*(-\
130683627600+17227382460*n-696874920*n^2+9818700*n^3-36000*n^4)*p3^2
[10, 4, 3]
-201600*p5*p3*p1^2+10445967360000*n-270000*p4*p2^3-192000*p3^3*p1+21600*p8*p3*
p1+10080*p6*p5*p1-2160*p5*p3*p2^2+6*(2425200-24000*n)*p5*p4*p1+4*(8705190-\
218010*n+1170*n^2)*p5*p3*p2+3*(-199440+1440*n)*p5*p2^2*p1+60/7*(2440620-46424*n
+224*n^2)*p7*p2*p1+20/3*(2744280-42966*n+126*n^2)*p6*p3*p1+5*(-49392+672*n)*p6*
p2*p1^2+20/3*(4446-36*n)*p9*p2*p1+20*(13177848096-1297629920*n+41123368*n^2-\
543840*n^3+2920*n^4)*p3*p2*p1+5/6*(-897120+17280*n)*p3^2*p2^2+40/3*(-21472200+
1047699/2*n-6417/2*n^2+9*n^3)*p9*p1+15/2*(-57034224+1777680*n-12240*n^2)*p8*p2+
15/2*(596160-5760*n)*p8*p1^2+40/7*(-71517096+2268735*n-19719*n^2+84*n^3)*p7*p3+
5*(-40510272+1463160*n-14040*n^2)*p3*p2^2*p1+10/3*(524280-10560*n)*p3*p2*p1^3+5
*(-72710400+1768200*n-4200*n^2)*p6*p4+5/2*(6629280-120960*n)*p6*p2^2+15/2*(-\
16266720+422720*n-3200*n^2)*p4*p2*p1^2+15/8*(6912000-96000*n)*p4^2*p2-1440*p11*
p3-1560*p12*p2+12*(337619190-15581510*n+206630*n^2-780*n^3)*p5*p2*p1+10*(
381709440-16486080*n+193320*n^2-840*n^3)*p4*p3*p1+24*(-59463485280+16013978335/
2*n-694244935/2*n^2+6134725*n^3-48565*n^4+150*n^5)*p5*p1+15*(-99877382784+
41979383680/3*n-636300480*n^2+34260800/3*n^3-72000*n^4)*p4*p2+15*(7903463520-\
709317560*n+18934120*n^2-188080*n^3+800*n^4)*p4*p1^2+120/7*(-2099886684+
134105279*n-2463433*n^2+17374*n^3-56*n^4)*p7*p1+10*(-4190816052+294045892*n-\
5992980*n^2+37520*n^3)*p6*p2+10*(151210080-5563404*n+51492*n^2-168*n^3)*p6*p1^2
+8*(-5130813750+720917955/2*n-15490665/2*n^2+66210*n^3-225*n^4)*p5*p3+4*(-\
5796600+96000*n)*p5*p1^3+20/7*(34860-336*n)*p7*p3*p2+5/3*(8992800-187920*n+720*
n^2)*p4*p3^2+40*(-452512041792+122094745736*n-11066871085*n^2+437867477*n^3-\
8279596*n^4+78305*n^5-325*n^6)*p3*p1+30*(93806484288-17791001480*n+3325843352/3
*n^2-87944896/3*n^3+1075840/3*n^4-5600/3*n^5)*p2*p1^2+20/3*(-689351400+39031350
*n-623790*n^2+2640*n^3)*p3*p1^3+15/2*(-1138172736+76148336*n-1566800*n^2+11040*
n^3)*p2^2*p1^2+5/2*(35140320-1209920*n+12800*n^2)*p2*p1^4+15/4*(665957760-\
32464800*n+372000*n^2)*p4*p2^2+10/3*(766735440-41789412*n+726660*n^2-4560*n^3)*
p3^2*p2+10/3*(-18511200+491040*n-1440*n^2)*p3^2*p1^2+5/4*(1270080-17280*n)*p2^3
*p1^2+10800*p3*p2^3*p1+32400*p8*p2^2+24/7*(-325500+1680*n)*p7*p5-864000*p8*p4+
120/11*(-48444+264*n)*p11*p1+6*(-256740+2640*n)*p10*p2+40/9*(-323190+7047/2*n-\
27/2*n^2)*p9*p3+9600*p3^2*p2*p1^2+33600*p6*p3^2+120*p9*p3*p2-470400*p6^2+34560*
p5^2*p2-720*p9*p5-2400*p4*p3^2*p2+5*(-235200+3360*n)*p4*p3*p2*p1+50400*p5*p4*p3
+42000*p6*p4*p2-1680*p6*p3*p2*p1+28800*p14+12*(377176800-16700805*n+184965*n^2-\
660*n^3)*p10+12/5*(-79923900+2289900*n-13500*n^2)*p5^2+60*(1178749393920-\
21084884985296/21*n+2499828914012/9*n^2-100887252286/3*n^3+18017245730/9*n^4-\
183385450/3*n^5+8419250/9*n^6-125000/21*n^7)*p2+15*(19098119040-1850150796*n+
55449396*n^2-614640*n^3+2520*n^4)*p8+15/4*(-5325465600+352176000*n-6120000*n^2+
24000*n^3)*p4^2+20*(314576982720-59942898889*n+3835713517*n^2-103889268*n^3+
1226540*n^4-5600*n^5)*p6+20/3*(-111785564016+15724509420*n-732442338*n^2+
14662908*n^3-141390*n^4+600*n^5)*p3^2+5/2*(19380964320-2014111440*n+65466000*n^
2-705600*n^3)*p2^3+60*(-519410949120+297210310096*n-166796472820/3*n^2+
13621780294/3*n^3-538997522/3*n^4+3593410*n^5-36750*n^6+500/3*n^7)*p1^2+
607232528000/3*n^5-32675696000/3*n^6+5/16*(-69638400+2073600*n)*p2^4+30*(
1451257866240-1642293485168/3*n+211763440828/3*n^2-12154573340/3*n^3+335087720/
3*n^4-4365500/3*n^5+7500*n^6)*p4+10*(2358720-32838*n+78*n^2)*p12+935840000/3*n^
7-96500000/21*n^8-5865575012000/3*n^4+191760726488000/21*n^3+15*(-609801374976+
503086258648/3*n-15613708280*n^2+1909654160/3*n^3-11922400*n^4+88000*n^5)*p2^2+
5*(-9978172800+1219946840*n-45038920*n^2+632080*n^3-3200*n^4)*p1^4-\
124698456256000/7*n^2+200000/7*n^9
[10, 4, 2, 2]
43200*p8*p2*p1^2-525293711360000/3*n+73920*p6*p3*p2*p1+78400*p6*p4*p1^2+28800*
p5^2*p1^2+76800*p5*p3^2*p1+28800*p5*p4*p2*p1+8640*p5*p3*p2^2+72000*p4^2*p3*p1+
9600*p4*p3^2*p2-129600*p8*p2^2-582400*p6*p3^2-504000*p6*p4*p2-2110080*p6*p5*p1-\
1142400*p5*p4*p3-207360*p5^2*p2-200000*p4^3+1800000*p4*p2^3+160/21*(19110-168*n
)*p7*p3*p1^2+80/7*(-228200+1120*n)*p7*p4*p1+160/21*(-102690+504*n)*p7*p3*p2+160
/9*(-91323+270*n)*p9*p2*p1+40/3*(-248760+2160*n)*p8*p3*p1+80/3*(-4992405020+
282678160*n-4395600*n^2+15480*n^3)*p4*p3*p1+20*(421116240-17995200*n+180000*n^2
)*p4*p2*p1^2+40/3*(429292728-15128280*n+109080*n^2)*p3*p2^2*p1+80/9*(-35813844+
1243080*n-9720*n^2)*p3*p2*p1^3+40/9*(-339840+5040*n)*p4*p3*p1^3+160/7*(-\
37972270+809732*n-1680*n^2)*p7*p2*p1+160/9*(-59110254+1525986*n-6426*n^2)*p6*p3
*p1+40/3*(2883216-45360*n)*p6*p2*p1^2+16*(-62643500+1463800*n-3000*n^2)*p5*p4*
p1+32/3*(-47189385+739980*n-1620*n^2)*p5*p3*p2+32/3*(5152395-113370*n+450*n^2)*
p5*p3*p1^2+8*(2108520-10800*n)*p5*p2^2*p1+16/3*(-129060+1080*n)*p5*p2*p1^3+160/
3*(-121438625680+13090863554*n-444231684*n^2+5478240*n^3-17790*n^4)*p3*p2*p1+40
/9*(-340920+4320*n)*p3^2*p2*p1^2+32*(-3944057335+209941550*n-2824680*n^2+5160*n
^3)*p5*p2*p1+6240*p12*p2+24960*p11*p3-2080*p12*p1^2+17600*p10*p4+320/11*(
1972542-25740*n)*p11*p1+16*(1168970-6600*n)*p10*p2+16*(-149270+1760*n)*p10*p1^2
+160/27*(6453-54*n)*p9*p1^3+10*(2565600-14400*n)*p8*p4+64/7*(2483250-5880*n)*p7
*p5+320/27*(2399895-38907/2*n+27/2*n^2)*p9*p3+10/3*(-32263520+1197760*n-9600*n^
2)*p4*p1^4+80/9*(-5295917160+239352048*n-2582640*n^2+5760*n^3)*p3^2*p2+80/9*(
530198880-25725276*n+352620*n^2-1200*n^3)*p3^2*p1^2+8/9*(2026200-52800*n)*p3*p1
^5+10/3*(-24243840+475200*n)*p2^3*p1^2+5/3*(1200960-17280*n)*p2^2*p1^4+64*(
510648628380-453088680545/6*n+22060047025/6*n^2-215119535/3*n^3+1532065/3*n^4-\
550*n^5)*p5*p1+40*(733048309336-100698523400*n+4266551520*n^2-63413200*n^3+
249000*n^4)*p4*p2+40*(-93430912792+32932567600/3*n-427413320*n^2+19842080/3*n^3
-34600*n^4)*p4*p1^2+160/9*(13844507784-1310496360*n+41009586*n^2-500160*n^3+
1950*n^4)*p3*p1^3+20*(15027329088-1258152720*n+31843440*n^2-245280*n^3)*p2^2*p1
^2+20/3*(-1491055408+106721984*n-2302560*n^2+14400*n^3)*p2*p1^4+320/3*(
3326906185056-2822125393372/3*n+270629148173/3*n^2-11324845517/3*n^3+216873616/
3*n^4-582135*n^5+1275*n^6)*p3*p1+80*(-793077127488+509327078504/3*n-12448677552
*n^2+1197967432/3*n^3-5715960*n^4+29400*n^5)*p2*p1^2+320/7*(23223543882-\
5403089125/3*n+124408067/3*n^2-879578/3*n^3+616/3*n^4)*p7*p1+80/3*(31016028786-\
2019208380*n+33042660*n^2-105840*n^3)*p6*p2+80/3*(-3183364686+201091660*n-\
3732708*n^2+20216*n^3)*p6*p1^2+64/3*(39785172975-5360482455/2*n+94573665/2*n^2-\
191310*n^3+225*n^4)*p5*p3+32/3*(364089105-18257820*n+255090*n^2-900*n^3)*p5*p1^
3+10*(-4388358240+180324000*n-1476000*n^2)*p4*p2^2+160/21*(3009090-71652*n+336*
n^2)*p7*p1^3+40/3*(623816760-16527000*n+46200*n^2)*p6*p4+20/3*(-28924560+302400
*n)*p6*p2^2+20/9*(-140112+2016*n)*p6*p1^4+5*(-49416000+720000*n)*p4^2*p2+5*(
5131200-96000*n)*p4^2*p1^2+40/9*(-71276400+1325520*n-720*n^2)*p4*p3^2+160/81*(
7014600-129600*n)*p3^3*p1+20/9*(2641680-25920*n)*p3^2*p2^2+320/9*(366469650-\
27294567/2*n+221193/2*n^2-33*n^3)*p9*p1+20*(381931896-9583200*n+34560*n^2)*p8*
p2+20*(-37830792+1167600*n-7920*n^2)*p8*p1^2+320/21*(560881524-15831795*n+72639
*n^2-84*n^3)*p7*p3-3520*p10*p3*p1-1600*p9*p4*p1-480*p9*p3*p2+160*p9*p3*p1^2-\
2240*p6*p3*p1^3+10662400*p6^2-2880*p5*p3*p2*p1^2-3200*p4*p3^2*p1^2-504000*p4*p2
^2*p1^2+12800*p3^2*p1^4-187200*p3*p2^3*p1+14400*p3*p2^2*p1^3-652800*p14+160*(
3505196903040-14599276162976/7*n+3714403279532/9*n^2-109478757914/3*n^3+
14446676762/9*n^4-108378010/3*n^5+3562250/9*n^6-11500/7*n^7)*p1^2+80/3*(-\
19677840+262158*n-78*n^2)*p12+32*(-3032429400+392655395/3*n-1156485*n^2+2860/3*
n^3)*p10+32/5*(641773650-16508400*n+36000*n^2)*p5^2+160/9*(828033986904-\
114968769240*n+4988664078*n^2-78933108*n^3+392790*n^4-600*n^5)*p3^2+10*(
42260874400-2831505600*n+48888000*n^2-168000*n^3)*p4^2+160*(-7662582426240+
138344997657568/21*n-5495297395876/3*n^2+219882809094*n^3-37765408970/3*n^4+
1040150150/3*n^5-4197750*n^6+115000/7*n^7)*p2+160/3*(-2276946071400+
433637318197*n-26982808733*n^2+661878196*n^3-5815180*n^4+11200*n^5)*p6+4/9*(
122038800-6770400*n+96000*n^2)*p1^6+40/3*(125769754368-65855658760/3*n+
4048882784/3*n^2-111291440/3*n^3+1376200/3*n^4-2000*n^5)*p1^4-36800000/189*n^9+
296611243232000/9*n^4-29130983374912000/189*n^3+1548622976000/9*n^6-\
30207167872000/9*n^5+2096233419008000/7*n^2+5/6*(284688000-5184000*n)*p2^4+40*(
-146234568480+13998754396*n-388993236*n^2+3202640*n^3-4440*n^4)*p8+80*(-\
9918602628480+3768441670416*n-1449999698668/3*n^2+80419689140/3*n^3-668859280*n
^4+20348500/3*n^5-57500/3*n^6)*p4+20/3*(-136257507840+12813937200*n-334400400*n
^2+2347200*n^3)*p2^3+40*(4256180339328-1169020093640*n+105624753360*n^2-\
3930751840*n^3+59239800*n^4-276000*n^5)*p2^2+3202400000/63*n^8-4398720000*n^7+
67200*p13*p1+6720*p9*p5+40/3*(4292640-61200*n)*p4*p3*p2*p1
[10, 3, 3, 2]
16070400*p5*p3*p1^2-451440*p5*p2*p1^3-175320961920000*n-691200*p3^2*p2*p1^2+
14400*p3*p2^2*p1^3-1980*p10*p2^2+5184000*p3^3*p1-93600*p4*p3*p1^3+20*(-189810+
2205*n-9*n^2)*p9*p2*p1+124200*p5*p4*p2*p1-3600*p4*p3*p2^2*p1-1231200*p8*p3*p1-\
1440*p9*p3*p2+7560*p9*p5+86400*p3*p1^5+37800*p13*p1-15120*p6*p1^4+65520*p12*p2+
17280*p11*p3-900*p9*p4*p1+15*(4581960-75600*n+240*n^2)*p4*p3*p2*p1+1080*p9*p1^3
+123390000*n^8-6640834500*n^7+207987395250*n^6-3659267660250*n^5+34237145286500
*n^4-156535459927000*n^3+301077075570000*n^2+120960*p6*p3*p2*p1+90/7*(-114100+
560*n)*p7*p4*p1+60/7*(-273840+1344*n)*p7*p3*p2+45/7*(25480-224*n)*p7*p2^2*p1+45
*(-67608105080+21488053280/3*n-754224100/3*n^2+11937340/3*n^3-96980/3*n^4+100*n
^5)*p4*p1^2+20*(7899206820-581422428*n+12705120*n^2-94440*n^3+180*n^4)*p3*p1^3+
45/2*(12092963408-3196595048/3*n+101538532/3*n^2-1525000/3*n^3+9740/3*n^4)*p2^2
*p1^2+15/2*(-722490592+40052880*n-654480*n^2+3200*n^3)*p2*p1^4+120*(
2878407053920-1627586278087/2*n+315077185699/4*n^2-13832578099/4*n^3+78412601*n
^4-4051723/4*n^5+29865/4*n^6-25*n^7)*p3*p1+90*(-652234756096+408259155280/3*n-\
29533811800/3*n^2+1000820168/3*n^3-6155174*n^4+64760*n^5-950/3*n^6)*p2*p1^2+45*
(678656353176-299358438440/3*n+14879165450/3*n^2-109576240*n^3+3492850/3*n^4-\
14500/3*n^5)*p4*p2+72*(425458193980-247132698215/4*n+24197606205/8*n^2-67118800
*n^3+6453885/8*n^4-22145/4*n^5+75/4*n^6)*p5*p1+180/7*(-41652604+1222410*n-12810
*n^2+56*n^3)*p7*p2*p1+20*(-34728120+617904*n-3024*n^2)*p6*p3*p1+15*(2439360-\
41160*n+168*n^2)*p6*p2*p1^2+18*(-39209350+752900*n-4500*n^2)*p5*p4*p1+12*(-\
74292360+1674840*n-8280*n^2)*p5*p3*p2+9*(5964460-138560*n+960*n^2)*p5*p2^2*p1+
360/11*(1151205-12870*n+66*n^2)*p11*p1+18*(2891900-35750*n+110*n^2)*p10*p2+40/3
*(2061855-13554*n+54*n^2)*p9*p3+45/4*(2262000-7200*n)*p8*p4+15/4*(-6712480+
60800*n)*p4*p1^4+37800*p6*p2^3+45/8*(-363360+2880*n)*p8*p2^2-403200*p6*p3^2+72/
7*(2483250-5880*n)*p7*p5+5/2*(-630000+8640*n)*p3*p2^3*p1+45/8*(-297920+3200*n)*
p4*p2^2*p1^2+22500*p4^2*p2^2-1043280*p5^2*p2+45/2*(299281440-12634400*n+174880*
n^2-800*n^3)*p4*p2*p1^2+45/8*(-76496000+1540000*n-4000*n^2)*p4^2*p2+45/8*(
1729600-16000*n)*p4^2*p1^2+5*(-59295600+866880*n-2880*n^2)*p4*p3^2+15/8*(
9427200-144000*n)*p4*p2^3+15*(523383208-24938064*n+397200*n^2-2240*n^3)*p3*p2^2
*p1+5/2*(8261280-126720*n)*p3^2*p2^2+40*(253579635-33118785/4*n+742023/8*n^2-\
2151/4*n^3+9/8*n^4)*p9*p1+10*(-17324520+384960*n-1440*n^2)*p3*p2*p1^3+45/2*(
513073776-18314040*n+193800*n^2-720*n^3)*p8*p2+45/2*(-16292880+293760*n-1440*n^
2)*p8*p1^2+120/7*(526269534-14587020*n+109116*n^2-336*n^3)*p7*p3+60/7*(598500-\
1008*n)*p7*p1^3+15*(590939580-15376200*n+79800*n^2)*p6*p4+360/7*(18056903095-\
2634015685/2*n+125478479/4*n^2-722113/2*n^3+9289/4*n^4-7*n^5)*p7*p1+30*(
31961450220-2421882260*n+59415783*n^2-612010*n^3+2415*n^4)*p6*p2+15/4*(-\
43140864+1688160*n-18720*n^2)*p2^3*p1^2+30*(-1888467924+95294850*n-1481907*n^2+
10038*n^3-21*n^4)*p6*p1^2+24*(36854874075-2568599670*n+53945280*n^2-453540*n^3+
1350*n^4)*p5*p3+12*(142618470-4036620*n+20700*n^2)*p5*p1^3+45/4*(-5900272320+
1043427680/3*n-6395200*n^2+112000/3*n^3)*p4*p2^2+10*(-5903825160+319014648*n-\
5414040*n^2+32640*n^3)*p3^2*p2+10*(254948400-7320960*n+34560*n^2)*p3^2*p1^2+15/
8*(1024960-12800*n)*p2^2*p1^4+15/2*(-79084152+2120160*n-13440*n^2)*p6*p2^2+36*(
-3508126630+204324200*n-8307645/2*n^2+40095*n^3-345/2*n^4)*p5*p2*p1+30*(-\
3634860460+180516600*n-2778750*n^2+18740*n^3-30*n^4)*p4*p3*p1-2520*p6*p2^2*p1^2
-799200*p5*p4*p3+69120*p5*p3*p2^2-3240*p5*p2^3*p1+18000*p4^2*p3*p1+28800*p4*p3^
2*p2+180*p9*p2^2*p1-4320*p11*p2*p1+11995200*p6^2-112500*p4^3+64800*p8*p2*p1^2-\
1239840*p6*p5*p1-1953000*p6*p4*p2+12600*p6*p4*p1^2+16200*p2^4*p1^2+6250*n^10-\
1306250*n^9-81000*p2^5+90*(-8805995773120+10220183996947/3*n-8169075635467/18*n
^2+82109275690/3*n^3-14949112465/18*n^4+40276865/3*n^5-1039250/9*n^6+1250/3*n^7
)*p4+60*(-2039454777360+800751630735/2*n-106899763313/4*n^2+787456208*n^3-\
45608269/4*n^4+169085/2*n^5-525/2*n^6)*p6+60*(-103380688756+11376147659*n-\
863777667/2*n^2+7776781*n^3-146145/2*n^4+290*n^5)*p3*p2*p1+20*(747345927864-\
107423450190*n+5091413307*n^2-103919382*n^3+1022385*n^4-4200*n^5)*p3^2+15/2*(-\
144571974384+16767760240*n-680062860*n^2+12261800*n^3-86700*n^4)*p2^3+1/2*(
21895200-288000*n)*p1^6+45*(3816113046400-3267576198530/3*n+965381552081/9*n^2-\
14580177080/3*n^3+1028879285/9*n^4-4304150/3*n^5+70250/9*n^6)*p2^2+15*(
85111800832-12752763524*n+634338230*n^2-13382780*n^3+123610*n^4-400*n^5)*p1^4+
15/16*(849410880-41241600*n+518400*n^2)*p2^4+36*(-2872469600+257884275/2*n-\
6494785/4*n^2+17545/2*n^3-55/4*n^4)*p10-734400*p14+180*(3074110663680-\
1821587008540*n+358649765793*n^2-190143337343/6*n^3+4287043654/3*n^4-215120273/
6*n^5+3229745/6*n^6-14500/3*n^7+125/6*n^8)*p1^2+180*(-6802136570880+
5895480715100*n-5013117637429/3*n^2+3767198057371/18*n^3-118441360661/9*n^4+
8046578695/18*n^5-154925275/18*n^6+837875/9*n^7-8125/18*n^8)*p2+30*(-19306560+
263172*n-1092*n^2)*p12+36/5*(620353650-16566900*n+94500*n^2)*p5^2+45/4*(
39117906000-8095701400/3*n+54279500*n^2-1157000/3*n^3+500*n^4)*p4^2-629640*p10*
p1^2+9900*p10*p4+45*(-133892478720+13339635054*n-424165209*n^2+5634240*n^3-\
36015*n^4+90*n^5)*p8
[10, 3, 2, 2, 2]
3115088616960000*n-2880*p9*p3*p1^2+57600*p4*p3^2*p1^2+23760*p10*p2^2-453600*p6*
p2^3-2160*p9*p2^2*p1+131040*p12*p1^2+240*(634045196016-224147063611/3*n+
8863562401/3*n^2-149518880/3*n^3+1069250/3*n^4-680*n^5)*p3*p2*p1+60*(-\
3646996152+169173692*n-2179020*n^2+6000*n^3)*p3*p2^2*p1+40*(369372396-15761662*
n+197670*n^2-760*n^3)*p3*p2*p1^3+90*(-3313157000+517506280/3*n-2745800*n^2+
44000/3*n^3)*p4*p2*p1^2+120*(28689098280-1686646340*n+28739600*n^2-151560*n^3+
60*n^4)*p4*p3*p1+144*(25194357390-3112324015/2*n+58979295/2*n^2-203620*n^3+420*
n^4)*p5*p2*p1+20*(3776880-46080*n)*p3^2*p2*p1^2+10*(3410640-25920*n)*p3*p2^3*p1
+10*(-307920+2880*n)*p3*p2^2*p1^3+15/2*(-251520+3200*n)*p4*p2*p1^4+20*(3394320-\
45240*n+120*n^2)*p4*p3*p1^3+45/2*(3959360-57600*n)*p4*p2^2*p1^2+36*(-40464420+
776940*n-2700*n^2)*p5*p2^2*p1+24*(3659790-72310*n+390*n^2)*p5*p2*p1^3+80*(
381786216-9355584*n+45024*n^2)*p6*p3*p1+60*(-38899308+957768*n-5880*n^2)*p6*p2*
p1^2+72*(409694100-9337900*n+31500*n^2)*p5*p4*p1+48*(367284840-6802420*n+19380*
n^2)*p5*p3*p2+48*(-40779780+829680*n-3600*n^2)*p5*p3*p1^2+720/7*(341394732-\
9786749*n+72681*n^2-140*n^3)*p7*p2*p1+80*(1609686-31293/2*n+45/2*n^2)*p9*p2*p1+
60*(1527840-8640*n)*p8*p3*p1+45*(-167280+1440*n)*p8*p2*p1^2+360/7*(1524600-3360
*n)*p7*p4*p1+240/7*(1154160-3136*n)*p7*p3*p2+240/7*(-143640+672*n)*p7*p3*p1^2+
180/7*(-143640+672*n)*p7*p2^2*p1+120/7*(13860-112*n)*p7*p2*p1^3+90*(-2634663744
+83374380*n-684660*n^2+1800*n^3)*p8*p2+20*(368335200-5400480*n+5280*n^2)*p4*p3^
2+15/2*(-34977600+432000*n)*p4*p2^3+80/9*(-39290400+518400*n)*p3^3*p1+10*(-\
33335520+334080*n)*p3^2*p2^2+30*(347389896-7789320*n+37800*n^2)*p6*p2^2+10*(
2611392-43176*n+168*n^2)*p6*p1^4+45/2*(377904000-6474000*n+10000*n^2)*p4^2*p2+
45/2*(-41625600+770000*n-2000*n^2)*p4^2*p1^2+60*(-3425685480+87406200*n-331800*
n^2)*p6*p4+90*(292333968-9830940*n+96900*n^2-360*n^3)*p8*p1^2+480/7*(-\
3075750216+83772150*n-468286*n^2+616*n^3)*p7*p3+240/7*(-31744692+848337*n-7021*
n^2+28*n^3)*p7*p1^3+160*(-2293656840+89934201*n-3820509/4*n^2+7137/2*n^3-9/4*n^
4)*p9*p1-1048320*p12*p2-2419200*p13*p1-2880*p11*p1^3-506880*p11*p3+480*(-\
14667443237952+12959744092447/3*n-2632850538107/6*n^2+121088183141/6*n^3-\
1389405667/3*n^4+32792429/6*n^5-183995/6*n^6+50*n^7)*p3*p1+360*(3702575751552-\
2538873158984/3*n+616111363432/9*n^2-7768268344/3*n^3+454497592/9*n^4-510920*n^
5+20200/9*n^6)*p2*p1^2+43200*p8*p1^4+288*(-2462249226480+1153292156810/3*n-\
244570072565/12*n^2+1415841685/3*n^3-61566115/12*n^4+50245/2*n^5-75/2*n^6)*p5*
p1+180*(-3495770982624+1526821645430/3*n-23999390370*n^2+461557500*n^3-3803900*
n^4+34000/3*n^5)*p4*p2+180*(490637255808-186559281670/3*n+8164425610/3*n^2-\
52959940*n^3+1462760/3*n^4-5600/3*n^5)*p4*p1^2+80*(-81452864232+8490384569*n-\
306360186*n^2+4892618*n^3-36125*n^4+100*n^5)*p3*p1^3+90*(-93344393088+
27835815556/3*n-317578860*n^2+14086880/3*n^3-27360*n^4)*p2^2*p1^2+30*(
10986489216-2853716920/3*n+84703816/3*n^2-1078640/3*n^3+5600/3*n^4)*p2*p1^4+45*
(29358478800-1547368880*n+23158000*n^2-100000*n^3)*p4*p2^2+15*(307813440-\
13227360*n+164480*n^2-800*n^3)*p4*p1^4+40*(31340862240-1571565132*n+21387660*n^
2-74240*n^3)*p3^2*p2+40*(-3519006720+175221204*n-2568180*n^2+12000*n^3)*p3^2*p1
^2+4*(-26544000+712800*n-2400*n^2)*p3*p1^5+15*(398312592-16329600*n+172800*n^2)
*p2^3*p1^2+15/2*(-34648896+1212320*n-11040*n^2)*p2^2*p1^4+(1792800-32000*n)*p2*
p1^6+96*(-203181611700+14040825745*n-268986655*n^2+1625540*n^3-2550*n^4)*p5*p3+
48*(-2708127480+306233115/2*n-5555945/2*n^2+21570*n^3-75*n^4)*p5*p1^3+1440/7*(-\
126021503244+10400475841*n-545764443/2*n^2+2856679*n^3-24913/2*n^4+14*n^5)*p7*
p1+120*(-169058640912+12197268503*n-260113875*n^2+2047780*n^3-5880*n^4)*p6*p2+
120*(19759875996-1365224035*n+30556491*n^2-284732*n^3+1092*n^4)*p6*p1^2+160/3*(
-12970260+85059*n-99*n^2)*p9*p3+80/3*(-125928+2313/2*n-9/2*n^2)*p9*p1^3+45*(-\
13572000+43200*n)*p8*p4-237600*p10*p4+45/2*(1332000-8640*n)*p8*p2^2+288/7*(-\
14238000+15680*n)*p7*p5+1440/11*(-14301804+186351*n-495*n^2)*p11*p1+72*(-\
13255440+138435*n-275*n^2)*p10*p2+72*(1535820-18535*n+55*n^2)*p10*p1^2-1814400*
p5^2*p1^2-270000*p4^2*p2^2+15966720*p5^2*p2+240*p9*p2*p1^3+21600*p9*p4*p1-\
1152000*p4^2*p3*p1+90000*p4^2*p2*p1^2-268800*p4*p3^2*p2+73704960*p6*p5*p1+
32760000*p6*p4*p2-3830400*p6*p4*p1^2+107520*p6*p3*p1^3+181440*p6*p2^2*p1^2-3360
*p6*p2*p1^4+19468800*p5*p4*p3+72000*p5*p4*p1^3-1382400*p5*p3^2*p1-288000*p5*p1^
5-287884800*p6^2+2700000*p4^3-614400*p3^2*p1^4+21600*p2^3*p1^4+972000*p2^5+
19200*p3*p2*p1^5-518400*p2^4*p1^2+224640*p5*p3*p2*p1^2+138240*p11*p2*p1+43200*
p4*p3*p2^2*p1-4320*p5*p2^2*p1^3+38880*p5*p2^3*p1-4800*p4*p3*p2*p1^3-4623360*p6*
p3*p2*p1-760320*p5*p3*p2^2+60*(-40515600+626840*n-600*n^2)*p4*p3*p2*p1+63360*
p10*p3*p1+11827200*p6*p3^2-3844800*p5*p4*p2*p1-80640*p9*p5+13440*p9*p3*p2-7920*
p10*p2*p1^2+2804810497432000*n^3-614455367788000*n^4+17625600*p14+45*(-\
215629356000+14781818800*n-274927000*n^2+1466000*n^3-1000*n^4)*p4^2+15/4*(-\
3581749440+148219200*n-1512000*n^2)*p2^4+180*(718030272960-71261193984*n+
2149705974*n^2-23929320*n^3+111270*n^4-180*n^5)*p8+240*(10333379936880-\
2038796829342*n+267792622419/2*n^2-3683577982*n^3+89498829/2*n^4-246785*n^5+525
*n^6)*p6+30*(730386266112-79770882180*n+2842634100*n^2-41780400*n^3+230400*n^4)
*p2^3+2*(-1105660800+74339400*n-1464200*n^2+8000*n^3)*p1^6-5367009855408000*n^2
+13850000*n^9-50000*n^10+144/5*(-3555896400+89590900*n-304500*n^2)*p5^2+144*(
16234218000-715641190*n+15526555/2*n^2-29315*n^3+55/2*n^4)*p10+360*(
42246886368960-16500632049494*n+6597800744117/3*n^2-129729928740*n^3+
10992524795/3*n^4-151047230/3*n^5+992000/3*n^6-2500/3*n^7)*p4+80*(-\
3888563247936+560632016500*n-25815171922*n^2+470660492*n^3-3468910*n^4+8000*n^5
)*p3^2+720*(31161119592960-81807208331144/3*n+70073092436722/9*n^2-\
2917305417379/3*n^3+178646646419/3*n^4-5632822115/3*n^5+93030925/3*n^6-795250/3
*n^7+8750/9*n^8)*p2+720*(-14536019151360+26726709076744/3*n-16547663922206/9*n^
2+1557734223931/9*n^3-25287819217/3*n^4+2043242149/9*n^5-3482415*n^6+265000/9*n
^7-1000/9*n^8)*p1^2+60*(-639464479488+364902697120/3*n-25263010280/3*n^2+
834495172/3*n^3-14338340/3*n^4+127900/3*n^5-500/3*n^6)*p1^4+180*(-\
18677288912256+16058928548372/3*n-1553304250970/3*n^2+21998388980*n^3-\
1345354790/3*n^4+13454800/3*n^5-56000/3*n^6)*p2^2+120*(113611680-1488942*n+3822
*n^2)*p12-3569276010000*n^6+65032203018000*n^5-1659720000*n^8+104827716000*n^7
[10, 2, 2, 2, 2, 2]
-58489884349440000*n-19440000*p2^5+25600*p3*p1^7+16848000*p2^4*p1^2+28800*p2^2*
p1^6+6400/3*(-459451860+11094552*n-37800*n^2)*p6*p3*p1+200*(1120880-16800*n)*p4
*p2*p1^4+19200/7*(-408184574+11638319*n-74151*n^2+84*n^3)*p7*p2*p1+30720000*p5*
p3^2*p1+1600/3*(-9725160+173400*n-120*n^2)*p4*p3*p1^3-12480000*p5*p4*p1^3+600*(
-6229920+79200*n)*p4*p2^2*p1^2+160/3*(-98580+720*n)*p3*p2*p1^5+1920*(-501716965
+11586550*n-24750*n^2)*p5*p4*p1+1280*(-330295530+5552160*n-10800*n^2)*p5*p3*p2+
1280*(70823030-1526900*n+3300*n^2)*p5*p3*p1^2+960*(47801295-841770*n+1890*n^2)*
p5*p2^2*p1+640*(-9291765+194820*n-540*n^2)*p5*p2*p1^3+1600/3*(-5908200+57600*n)
*p3^2*p2*p1^2+800/3*(-3525660+19440*n)*p3*p2^3*p1+800/3*(647640-4320*n)*p3*p2^2
*p1^3+22720000*p4^2*p3*p1+1600*(4025212630-185795934*n+2130750*n^2-3960*n^3)*p3
*p2^2*p1+3200/3*(-681545250+33545088*n-430440*n^2+960*n^3)*p3*p2*p1^3+3840*(-\
26703912566+3443856295/2*n-32102505*n^2+187695*n^3-495/2*n^4)*p5*p2*p1+3200*(-\
30430140410+5607730370/3*n-30957940*n^2+368140/3*n^3-30*n^4)*p4*p3*p1+2400*(
4503731420-256945600*n+4130920*n^2-17200*n^3)*p4*p2*p1^2+1600/3*(-317537400+
3755040*n-2400*n^2)*p4*p3^2+200*(30553200-324000*n)*p4*p2^3+40/3*(-164640+2400*
n)*p4*p1^6+6400/27*(44118000-432000*n)*p3^3*p1+800/3*(27959400-216000*n)*p3^2*
p2^2+800/9*(1110600-14400*n)*p3^2*p1^4+6400*(-586583398982+218128439416/3*n-\
5953136307/2*n^2+147169007/3*n^3-600715/2*n^4+390*n^5)*p3*p2*p1+2400*(-\
463811280+17595420*n-166740*n^2+360*n^3)*p8*p1^2+12800/7*(2770763940-71644090*n
+324338*n^2-280*n^3)*p7*p3+6400/7*(77048958-2635129*n+22085*n^2-28*n^3)*p7*p1^3
+1600*(3112099410-76337100*n+220500*n^2)*p6*p4+800*(-319087062+6747300*n-26460*
n^2)*p6*p2^2+800/3*(-11759622+346500*n-2268*n^2)*p6*p1^4+2400*(2404355520-\
74139300*n+552060*n^2-1080*n^3)*p8*p2+12800/3*(2640960186-433136109/4*n+8674947
/8*n^2-12057/4*n^3+9/8*n^4)*p9*p1+64*(1568615-36590*n+150*n^2)*p5*p1^5+600*(-\
341376000+5334000*n-6000*n^2)*p4^2*p2+35278709409760000/3*n^4+600*(74317600-\
1546000*n+2000*n^2)*p4^2*p1^2-479479812132160000/9*n^3+303567240667520000/3*n^2
+38400/7*(125377428050-65646772765/6*n+3552449621/12*n^2-17460401/6*n^3+120379/
12*n^4-7*n^5)*p7*p1+3200*(146953010652-10574549223*n+217565712*n^2-1536150*n^3+
3465*n^4)*p6*p2+3200*(-24448964064+1890399777*n-46096932*n^2+408786*n^3-1071*n^
4)*p6*p1^2+2560*(175963002000-12065216151*n+218729375*n^2-1089800*n^3+1200*n^4)
*p5*p3+1280*(4455109080-608764395/2*n+13021465/2*n^2-48170*n^3+75*n^4)*p5*p1^3+
1200*(-26161018380+1352157960*n-18718800*n^2+66000*n^3)*p4*p2^2+400*(-741484340
+131820920/3*n-780880*n^2+12400/3*n^3)*p4*p1^4+3200/3*(-27668359800+1342056540*
n-16269420*n^2+40800*n^3)*p3^2*p2+4800*(-492301801580+204847698650/3*n-\
9838775630/3*n^2+204472040/3*n^3-1818880/3*n^4+5300/3*n^5)*p4*p1^2+118368000*p5
*p4*p2*p1+134400000*p6*p3*p2*p1+6400/3*(98550283134-11798602409*n+491930390*n^2
-8749258*n^3+61745*n^4-100*n^5)*p3*p1^3+2400*(102229142536-11107177560*n+
406593416*n^2-5978320*n^3+29280*n^4)*p2^2*p1^2+800*(-16877354000+5316539452/3*n
-64297752*n^2+2855840/3*n^3-4700*n^4)*p2*p1^4+80/3*(-13080816+493440*n-3600*n^2
)*p2*p1^6+7680*(2152213217806-4227503862869/12*n+469785637195/24*n^2-2788055495
/6*n^3+115266215/24*n^4-77245/4*n^5+75/4*n^6)*p5*p1+4800*(2862945405340-\
420932780350*n+19733479220*n^2-364376660*n^3+2688450*n^4-6500*n^5)*p4*p2+6400/7
*(-980700+1680*n)*p7*p3*p2+6400/7*(276500-560*n)*p7*p3*p1^2+3200/3*(4803151000-\
262697100*n+3830700*n^2-11200*n^3)*p3^2*p1^2+320/3*(108049990-5323106*n+70530*n
^2-200*n^3)*p3*p1^5+4800/7*(158130-504*n)*p7*p2^2*p1+3200/7*(-37590+168*n)*p7*
p2*p1^3+400*(-560938104+23140080*n-211680*n^2)*p2^3*p1^2+200*(90072424-3719760*
n+33840*n^2)*p2^2*p1^4-1584000*p2^3*p1^4+6400/3*(-2020176+36423/2*n-27/2*n^2)*
p9*p2*p1+1600*(-1866000+7200*n)*p8*p3*p1+1200*(298440-2160*n)*p8*p2*p1^2+9600/7
*(-2009350+1960*n)*p7*p4*p1+9600*(-3166604414784+2313970663408/3*n-67197987800*
n^2+8215334470/3*n^3-168370552/3*n^4+1668130/3*n^5-6200/3*n^6)*p2*p1^2+12800*(
11607913603044-7069823807585/2*n+13429489884587/36*n^2-213837649337/12*n^3+
3755988863/9*n^4-56823229/12*n^5+811985/36*n^6-25*n^7)*p3*p1+1920*(-3166240+
40975*n-55*n^2)*p10*p1^2+12800/9*(11417400-60957*n+45*n^2)*p9*p3+6400/9*(493146
-12105/2*n+9/2*n^2)*p9*p1^3+1200*(12225480-25200*n)*p8*p4-232960000*p6*p3^2+
5400000*p4^2*p2^2-380298240*p5^2*p2-4480*p6*p1^6+9072000*p6*p2^3+200000*p4^2*p1
^4+120960000*p5^2*p1^2+600*(-1180440+6480*n)*p8*p2^2+200*(-67800+720*n)*p8*p1^4
+7680/7*(13261500-7056*n)*p7*p5+320/7*(7490-56*n)*p7*p1^5+38400/11*(18795062-\
244101*n+429*n^2)*p11*p1+1920*(12380060-123585*n+165*n^2)*p10*p2-3600000*p4^2*
p2*p1^2+3840000*p4*p3^2*p2-1280000*p4*p3^2*p1^2-6400*p4*p3*p1^5+13824000*p5*p3*
p2^2+384000*p5*p3*p1^4-777600*p5*p2^3*p1+172800*p5*p2^2*p1^3-5760*p5*p2*p1^5+
64000*p9*p3*p1^2+43200*p9*p2^2*p1-9600*p9*p2*p1^3-4492800*p11*p2*p1-1408000*p10
*p3*p1+316800*p10*p2*p1^2-336000*p9*p4*p1-192000*p9*p3*p2+7293081600*p6^2-\
42000000*p4^3+91392000*p13*p1+3696000*p10*p4+499200*p11*p1^3-475200*p10*p2^2+
967680*p9*p5-17600*p10*p1^4-12544000*p6*p3*p1^3+239904000*p6*p4*p1^2-776160000*
p6*p4*p2-2755307520*p6*p5*p1+192000*p4*p3*p2*p1^3+320*p9*p1^5+1600*(47403860-\
642840*n+360*n^2)*p4*p3*p2*p1+9984000*p11*p3-8736000*p12*p1^2+26208000*p12*p2-\
864000*p4*p3*p2^2*p1+470400*p6*p2*p1^4-6652800*p6*p2^2*p1^2-349593600*p5*p4*p3-\
8064000*p5*p3*p2*p1^2+1600*(64838466-1640268*n+7812*n^2)*p6*p2*p1^2-446515200*
p14+6400/3*(3180259942200-462264987830*n+21057982451*n^2-363003090*n^3+2281325*
n^4-3800*n^5)*p3^2+9600*(-31933795584600+12636466180031*n-10204064675785/6*n^2+
301075999690/3*n^3-16672753895/6*n^4+35916205*n^5-207000*n^6+1250/3*n^7)*p4+
4800*(14433621075216-4199829099634*n+409801364501*n^2-17321515450*n^3+341433915
*n^4-3134300*n^5+11000*n^6)*p2^2+1600*(641975571936-137793698372*n+99148599818/
9*n^2-1281093182/3*n^3+77024480/9*n^4-251950/3*n^5+2750/9*n^6)*p1^4+19200*(-\
22566235505184+59890594310620/3*n-17302355445151/3*n^2+4360612485529/6*n^3-\
44546663724*n^4+8296993265/6*n^5-130723925/6*n^6+506375/3*n^7-3125/6*n^8)*p2+
19200*(10793638999584-6803545709124*n+13121286651587/9*n^2-2593075515349/18*n^3
+22301384831/3*n^4-3816582199/18*n^5+20169245/6*n^6-248750/9*n^7+1625/18*n^8)*
p1^2+800*(-617165790744+67801608000*n-2372576040*n^2+32535000*n^3-151200*n^4)*
p2^3+160/3*(2727743856-270487052*n+9243680*n^2-125000*n^3+500*n^4)*p1^6+3200*(-\
105814800+1339338*n-2730*n^2)*p12+2000000/3*n^10-1982000000/9*n^9+
68247076400000*n^6-1249547754800000*n^5+3840*(-14491336860+3787508725/6*n-\
25630165/4*n^2+122045/6*n^3-55/4*n^4)*p10+768*(3240925380-78930180*n+195300*n^2
)*p5^2+4800*(-606424618800+60388861246*n-1787685285*n^2+18514940*n^3-73935*n^4+
90*n^5)*p8+88052800000/3*n^8-5878343840000/3*n^7+1200*(186965365720-12739393800
*n+224811500*n^2-973000*n^3+500*n^4)*p4^2+100*(3234088080-126684000*n+1101600*n
^2)*p2^4+20/21*(1613920-44800*n)*p1^8+6400*(-8235770106564+3286100041315/2*n-\
432167065197/4*n^2+2911097581*n^3-132191829/4*n^4+316785/2*n^5-525/2*n^6)*p6
[9, 7]
-5289581004309/8*n-567/2*p8*p2^2-504*p8*p3*p1-945*p6*p4*p2-756*p6*p5*p1-504*p6*
p3^2+3402*p6*p2*p1^2+3402*p5*p2^2*p1+6048*p5*p3*p1^2+2268*p3^2*p2^2+4032*p3^3*
p1+8505/2*p4*p2^3+7560*p4*p3*p2*p1-571536*p5*p3*p2-435456*p7*p2*p1+63/10*(-\
23103360+694860*n-1260*n^2)*p5*p2*p1+21/4*(-29734488+1041120*n-6480*n^2)*p4*p3*
p1+63/16*(909360-7680*n)*p4*p2*p1^2+21/8*(1659888-15552*n)*p3*p2^2*p1+21/2*(-\
1161352896+95355972*n-1997748*n^2+6480*n^3)*p3*p2*p1+63/20*(-163800+1200*n)*p5*
p4*p1+7/2*(-176616+2304*n)*p6*p3*p1+63/32*(16080-160*n)*p8*p4+19656*p11*p1+63*
p8*p6+24948*p10*p2+63/16*(3307392-71048*n+168*n^2)*p8*p2+63/16*(-47232+224*n)*
p8*p1^2+3*(4546080-96768*n)*p7*p3+21/8*(5544252-158460*n+1380*n^2)*p6*p4+21/16*
(-263448+3456*n)*p6*p2^2+7*(1603800-31680*n)*p9*p1+27720*p9*p3+63/5*(5795053800
-709878095*n+51831835/2*n^2-295225*n^3+245/2*n^4)*p5*p1+63/8*(9567632208-\
1211369922*n+47515377*n^2-694250*n^3+3755*n^4)*p4*p2+63/8*(-739508448+59580476*
n-1262860*n^2+5760*n^3)*p4*p1^2+7/2*(61553376-2959488*n+29808*n^2)*p3*p1^3+63/
16*(85206528-3863112*n+23976*n^2)*p2^2*p1^2+21/16*(-2472768+36288*n)*p2*p1^4+21
*(48512496672-61442259631/5*n+2014439095/2*n^2-32960791*n^3+787769/2*n^4-2934/5
*n^5)*p3*p1+63/4*(-9629746560+1672072958*n-88620929*n^2+1616130*n^3-6111*n^4)*
p2*p1^2+9*(180557496-10050432*n+129024*n^2)*p7*p1+21/4*(334552128-19765092*n+
308364*n^2-1368*n^3)*p6*p2+21/4*(-12671520+402228*n-2148*n^2)*p6*p1^2+21/5*(
423045000-24842160*n+340200*n^2)*p5*p3+21/10*(479520-5040*n)*p5*p1^3+63/32*(-\
43083432+1614600*n-14760*n^2)*p4*p2^2+7/4*(-47972736+1558800*n-3024*n^2)*p3^2*
p2+7/4*(1298304-24768*n)*p3^2*p1^2+63/64*(-352800+4800*n)*p4^2*p2+7/8*(-393120+
2880*n)*p4*p3^2+27216*p7*p5-945*p14+73571573295297/640*n^4-89354481068601/160*n
^3-27216*p3*p2*p1^3-15309*p2^3*p1^2+21/4*(-155610+2184*n)*p12-250047/320*n^9+7/
8*(27972-504*n)*p6^2+63/10*(-29459430+1171720*n-10560*n^2)*p10+178457392612359/
160*n^2+21/128*(3033936-69984*n)*p2^4-3578698993023/320*n^5+174555635877/320*n^
6-534489921/40*n^7+99927513/640*n^8+63/2*(-137750284800+1714279734638/15*n-\
303040427963/10*n^2+206284357943/60*n^3-370013297/2*n^4+72187802/15*n^5-289416/
5*n^6+5859/20*n^7)*p2+21/8*(1003344192-112473456*n+3436128*n^2-27216*n^3)*p1^4+
21/16*(-1626064416+140053392*n-3463128*n^2+29160*n^3)*p2^3+63/50*(5367600-\
113400*n)*p5^2+63/8*(-1734391230+456542918/3*n-11735231/3*n^2+92818/3*n^3-49/3*
n^4)*p8+63/32*(459772740-28637280*n+523000*n^2-3600*n^3)*p4^2+63/4*(-\
160540904160+115518931851/2*n-83352278803/12*n^2+4305825253/12*n^3-50204527/6*n
^4+997529/12*n^5-1221/4*n^6)*p4+7/2*(10760109840-1359038460*n+51804714*n^2-\
626892*n^3+294*n^4)*p3^2+63/8*(65095708032-83627680019/5*n+2809295547/2*n^2-\
48744802*n^3+1438661/2*n^4-21411/5*n^5)*p2^2+63/2*(59600448000-492555237308/15*
n+173932603057/30*n^2-5169147659/12*n^3+171009599/12*n^4-3764211/20*n^5+10017/
20*n^6)*p1^2+21/2*(-32052580560+56799742473/10*n-1305974021/4*n^2+14833645/2*n^
3-248827/4*n^4+611/5*n^5)*p6
[9, 6, 2]
-648*p8*p2*p1^2+10432679482368*n-864*p5*p3^2*p1-1620*p5*p4*p2*p1-1296*p5^2*p1^2
+2916*p8*p2^2+42120*p9*p2*p1+28512*p10*p1^2-641520*p10*p2+6048*p6*p3^2+11340*p6
*p4*p2+38880*p7*p4*p1+17496*p5^2*p2-233280*p7*p1^3+19440*p5*p4*p3-43740*p4*p2^3
-291600*p4^2*p1^2-23328*p3^2*p2^2+18/5*(22680-210*n)*p6*p5*p1+9/2*(10392-96*n)*
p8*p3*p1+27/5*(5217960-107000*n+450*n^2)*p5*p4*p1+18/5*(4485240-48600*n)*p5*p3*
p2+18/5*(-241440+3600*n)*p5*p3*p1^2+6*(4729032-102942*n+504*n^2)*p6*p3*p1+54/7*
(3365208-51408*n)*p7*p2*p1+27/10*(-226560+1620*n)*p5*p2^2*p1+9/2*(-178416+1008*
n)*p6*p2*p1^2+54/5*(426424340-19201345*n+211590*n^2-405*n^3)*p5*p2*p1+9*(
527406648-24842424*n+317550*n^2-1080*n^3)*p4*p3*p1+27/4*(-33083088+920160*n-\
3600*n^2)*p4*p2*p1^2+9/2*(-40493376+1003500*n-3888*n^2)*p3*p2^2*p1+3*(1737720-\
23328*n)*p3*p2*p1^3+18*(15677308680-1510394535*n+43471950*n^2-416691*n^3+972*n^
4)*p3*p2*p1+108/11*(-153582+1716*n)*p11*p1-1512*p13*p1+4*(-184950+1080*n)*p9*p3
+27/8*(-224960+960*n)*p8*p4+108/35*(-319620+2520*n)*p7*p5+27/16*(4416000-28800*
n)*p4^2*p2+3/2*(5461920-69120*n)*p4*p3^2+12*(-35621226+1125585*n-7965*n^2)*p9*
p1+27/4*(-45204784+981024*n-864*n^2)*p8*p2+27/4*(2445424-44960*n+96*n^2)*p8*p1^
2+36/7*(-63384300+1621368*n-6048*n^2)*p7*p3+9/2*(-73244304+1913520*n-8820*n^2)*
p6*p4-1080*p9*p5-756*p8*p6+27/2*(-107332580176+14065764256*n-562479516*n^2+
7614720*n^3-20520*n^4)*p4*p2+27/2*(11255150896-1139769920*n+35853004*n^2-401880
*n^3+1080*n^4)*p4*p1^2+9*(-4122231792+251247822*n-3757068*n^2+7938*n^3)*p6*p2+9
*(296769984-14636496*n+191436*n^2-504*n^3)*p6*p1^2+36/5*(-5268380430+333730980*
n-5636250*n^2+21870*n^3)*p5*p3+18/5*(-23322120+700830*n-4590*n^2)*p5*p1^3+27/8*
(544187232-18936000*n+84240*n^2)*p4*p2^2+3*(634258152-23662800*n+155520*n^2)*p3
^2*p2+3*(-39496176+1315872*n-12096*n^2)*p3^2*p1^2+2/3*(-281232+5184*n)*p3^3*p1+
108/7*(-2761055626+189646170*n-3773826*n^2+21924*n^3)*p7*p1+9/4*(3318336-22680*
n)*p6*p2^2+108*p8*p5*p1+6*(-1338557688+97370802*n-2050650*n^2+13608*n^3)*p3*p1^
3+27/4*(-1607965152+109407288*n-1981440*n^2+7776*n^3)*p2^2*p1^2+9/4*(104436576-\
4580064*n+38880*n^2)*p2*p1^4+36*(-517114684992+1390579058067/10*n-124542917001/
10*n^2+3787646823/8*n^3-7838991*n^4+1964817/40*n^5-729/10*n^6)*p3*p1+27*(
114022731136-111680830726/5*n+1440553064*n^2-38099337*n^3+399600*n^4-5589/5*n^5
)*p2*p1^2+9/8*(2096064-23328*n)*p2^3*p1^2+108/5*(-70989373992+19383115203/2*n-\
848838105/2*n^2+57482505/8*n^3-83025/2*n^4+243/8*n^5)*p5*p1-88597878451092/5*n^
2+13608*p5*p2*p1^3+5184*p3^2*p2*p1^2+9720*p4*p2^2*p1^2-46467482058/5*n^6+
1872110293641/10*n^5+1049760*p4*p1^4-34992*p2^2*p1^4+25920*p14+1133869833/5*n^7
-11855727/5*n^8-2519424/5*p1^6+59049/10*n^9+27*(1614558924160-596883451668*n+
74054520948*n^2-3951890928*n^3+94177473*n^4-878724*n^5+1539*n^6)*p4+9/2*(-\
207720+1440*n)*p4*p3*p2*p1+9*(2271360-32760*n)*p12+54/5*(384063680-16064400*n+
148500*n^2)*p10+27/2*(20456916480-1872679848*n+50384808*n^2-405912*n^3+72*n^4)*
p8+3/2*(-338688+3528*n)*p6^2+18*(346487100960-317952931653/5*n+3799241271*n^2-\
358054641/4*n^3+739053*n^4-12663/20*n^5)*p6+9/4*(18976563072-1661904432*n+
37740816*n^2-157464*n^3)*p2^3+6*(-121229377200+16044905610*n-657303174*n^2+
9583812*n^3-36288*n^4)*p3^2+9/32*(-35209728+419904*n)*p2^4+54/25*(-78281700+
2191950*n-12150*n^2)*p5^2+54*(1311512832000-5539754574807/5*n+1503775787907/5*n
^2-700728288663/20*n^3+1933204440*n^4-1012419927/20*n^5+2764773/5*n^6-13851/10*
n^7)*p2+9/2*(-15335645952+2250796200*n-106600824*n^2+1941408*n^3-11664*n^4)*p1^
4+54*(-585056102400+1680157716567/5*n-63186532947*n^2+103731263787/20*n^3-\
407950281/2*n^4+76877127/20*n^5-62289/2*n^6+729/10*n^7)*p1^2+27/8*(-5618719680+
355148480*n-5899200*n^2+21600*n^3)*p4^2+27/2*(-673866281728+893336053864/5*n-\
15461105124*n^2+542879127*n^3-7315812*n^4+108621/5*n^5)*p2^2-9427300707123/5*n^
4+44971072037982/5*n^3
[9, 5, 3]
10446727646250*n-38880*p7*p1^3-123120*p5*p3*p1^2-139725*p4^2*p1^2-43200*p3^3*p1
+19440*p7*p4*p1+38880*p7*p3*p2-997920594550125/56*n^2+11340*p6*p5*p1+27/8*(-\
171120+1440*n)*p5*p2^2*p1+45/8*(-70646184+2322012*n-23016*n^2+84*n^3)*p6*p4+15/
2*(1977192-14112*n)*p6*p3*p1+45/8*(-65520+336*n)*p6*p2*p1^2+27/4*(2547240-28920
*n+120*n^2)*p5*p4*p1-1755*p12*p2+9/2*(5850360-97200*n)*p5*p3*p2+135/14*(2223984
-34272*n)*p7*p2*p1+15/16*(-348480+3456*n)*p3^2*p2^2+45/16*(37296-336*n)*p6*p4*
p2+45/16*(6785856-193872*n+1008*n^2)*p6*p2^2+45/2*(11670991488-1116432128*n+
32439600*n^2-337360*n^3+1008*n^4)*p3*p2*p1+135/16*(-16940720+450512*n-2688*n^2)
*p4*p2*p1^2+45/8*(-33396240+1000224*n-5184*n^2)*p3*p2^2*p1+15/4*(516384-5184*n)
*p3*p2*p1^3+45/4*(328630488-12706296*n+109128*n^2-432*n^3)*p4*p3*p1+27/2*(
304485720-13397480*n+144720*n^2-280*n^3)*p5*p2*p1+135/64*(8623872-266560*n+1920
*n^2)*p4^2*p2-1485*p10*p4+15*(-19514880+416790*n-990*n^2)*p9*p1+135/16*(-\
52680472+5586152/3*n-17568*n^2+112/3*n^3)*p8*p2+135/16*(686000-3856*n+16*n^2)*
p8*p1^2+45/7*(-55087200+1333584*n-3024*n^2)*p7*p3+135/7*(-1869488880+115394580*
n-1856316*n^2+7896*n^3)*p7*p1+45/4*(-3793115280+278194518*n-6607748*n^2+64806*n
^3-196*n^4)*p6*p2+45/4*(141615096-4848900*n+32088*n^2-84*n^3)*p6*p1^2+9*(-\
4405368240+290368530*n-5114070*n^2+22140*n^3)*p5*p3+9/2*(-6690240+86760*n-360*n
^2)*p5*p1^3+135/32*(641713888-37696104*n+750672*n^2-5224*n^3)*p4*p2^2+15/4*(
613721736-28274592*n+316224*n^2-672*n^3)*p3^2*p2+15/4*(-13703040+173088*n-288*n
^2)*p3^2*p1^2+45/32*(1380384-23328*n)*p2^3*p1^2+15/8*(5505120-69408*n+288*n^2)*
p4*p3^2+45/64*(-683424+16416*n)*p4*p2^3+135/32*(-326240+3856*n-16*n^2)*p8*p4+
135/64*(19360-192*n)*p8*p2^2-589680*p11*p1-933120*p7*p5+15/2*(-625074624+
31918248*n-340344*n^2+1296*n^3)*p3*p1^3+135/16*(-1050792384+69494264*n-1344864*
n^2+7848*n^3)*p2^2*p1^2+45/16*(38525664-1286496*n+10368*n^2)*p2*p1^4+45*(-\
401565478272+107857814643*n-19314799327/2*n^2+369125342*n^3-12613805/2*n^4+
44911*n^5-90*n^6)*p3*p1+135/4*(83418118656-236111528846/15*n+964583235*n^2-\
72872093/3*n^3+263253*n^4-5283/5*n^5)*p2*p1^2+27*(-52762076640+7021861455*n-\
588748345/2*n^2+4681430*n^3-53075/2*n^4+25*n^5)*p5*p1+135/8*(-89428643456+
63570243752/5*n-1837989985/3*n^2+13357801*n^3-445631/3*n^4+3403/5*n^5)*p4*p2+
135/8*(7083984800-624570540*n+15674968*n^2-134852*n^3+504*n^4)*p4*p1^2-2025*p4^
2*p2^2+7560*p6*p3^2+21870*p5^2*p2+27/4*(-244640+3300*n)*p10*p2-831600*p9*p3+135
*p8*p4*p2+30375/2*p4^3+3240*p5*p2*p1^3+11340*p4*p2^2*p1^2+2160*p3^2*p2*p1^2+
284310*p4*p1^4-14580*p2^2*p1^4-131220*p1^6+30406347/448*n^9-10935/32*n^10+29160
*p5*p4*p3+45/8*(-177888+1728*n)*p4*p3*p2*p1-1620*p5*p4*p2*p1-945*p8*p6+2970*p10
*p1^2+32400*p14-1080*p4*p3^2*p2+5400*p8*p3*p1+29700*p9*p2*p1-270*p8*p2*p1^2-\
62789359408569/32*n^4+1023866221632417/112*n^3+45/8*(-8940171264+1077467232*n-\
37065360*n^2+416232*n^3-1944*n^4)*p1^4+135/2*(-461240156160+263582209009*n-\
737137964189/15*n^2+238688437271/60*n^3-922046029/6*n^4+17269933/6*n^5-249879/
10*n^6+1593/20*n^7)*p1^2+15/8*(-338688+3528*n)*p6^2+135/8*(16967190240-\
1649018646*n+152151851/3*n^2-1857506/3*n^3+9643/3*n^4-10/3*n^5)*p8-1414247607/
224*n^8+11148686343/32*n^7-361404325395/32*n^6+13103327608569/64*n^5+45/4*(
2140320-32838*n+78*n^2)*p12+27/10*(-67737600+1705050*n-4050*n^2)*p5^2+135/2*(
1047713587200-62494895634961/70*n+3710414646806/15*n^2-1205013454157/40*n^3+
109863640709/60*n^4-598123947/10*n^5+67003541/60*n^6-3420141/280*n^7+621/10*n^8
)*p2+135/4*(1290060029440-1460192349710/3*n+629355225911/10*n^2-219738312811/60
*n^3+638089469/6*n^4-9852985/6*n^5+208621/15*n^6-993/20*n^7)*p4+27/2*(335535200
-45588235/3*n+181830*n^2-2255/3*n^3)*p10+135/8*(-543614620672+450892689110/3*n-\
214074008303/15*n^2+1864508494/3*n^3-42603893/3*n^4+180892*n^5-5184/5*n^6)*p2^2
+15/2*(-98393984640+13538944998*n-594166656*n^2+9982056*n^3-57858*n^4+60*n^5)*
p3^2+45/2*(279643203840-266445033738/5*n+6873164625/2*n^2-96559232*n^3+1294328*
n^4-42392/5*n^5+35/2*n^6)*p6+45/128*(-75352320+3577824*n-46656*n^2)*p2^4+135/32
*(-4830545120+342204128*n-7849648*n^2+83200*n^3-360*n^4)*p4^2+45/16*(
17817211104-1967103036*n+76912992*n^2-1396740*n^3+10368*n^4)*p2^3
[9, 5, 2, 2]
-175104167040000*n+4320*p5*p1^5+17280*p5*p3^2*p1-2160*p5*p4*p1^3-855360*p5*p4*
p3+51840*p7*p3*p1^2+97200*p5*p4*p2*p1+15120*p4*p2*p1^4+2880*p3^2*p1^4+20*(-\
46776996+1024380*n-2520*n^2)*p6*p3*p1+15*(3035088-50988*n+252*n^2)*p6*p2*p1^2+
18*(-57896340+1500900*n-7680*n^2)*p5*p4*p1+12*(-36561780+505440*n)*p5*p3*p2+12*
(3859740-59040*n)*p5*p3*p1^2+9*(2514600-31320*n)*p5*p2^2*p1+6*(-182880+1080*n)*
p5*p2*p1^3+45/8*(-174960+2736*n)*p4*p2^2*p1^2+45/8*(5093376-116480*n+720*n^2)*
p4^2*p1^2+5*(-44107200+605088*n-288*n^2)*p4*p3^2+15/8*(1502064-24624*n)*p4*p2^3
+20/9*(2682720-25920*n)*p3^3*p1+5/2*(587520-5184*n)*p3^2*p2^2+40*(329014710-\
12086385*n+100620*n^2-75*n^3)*p9*p1+45/2*(351834588-9517116*n+43880*n^2-44*n^3)
*p8*p2+45/2*(-34610196+2889964/3*n-5488*n^2+20/3*n^3)*p8*p1^2+120/7*(458975160-\
11776464*n+33264*n^2)*p7*p3+60/7*(2911608-48384*n)*p7*p1^3+5*(-247824+2592*n)*
p4*p3*p1^3+45/8*(-46706688+900000*n-2640*n^2)*p4^2*p2+360/7*(20667568110-\
1587243406*n+36442644*n^2-272258*n^3+420*n^4)*p7*p1+30*(27888068580-1851093867*
n+33022017*n^2-157101*n^3+231*n^4)*p6*p2+30*(-2850712380+173372829*n-3010693*n^
2+15603*n^3-35*n^4)*p6*p1^2+24*(34844760540-2304268650*n+39850650*n^2-152280*n^
3)*p5*p3+12*(332476020-15166110*n+167220*n^2-150*n^3)*p5*p1^3+15/2*(-29732976+
466200*n-1512*n^2)*p6*p2^2+5/2*(-178416+1008*n)*p6*p1^4+12*(-233100+1260*n)*p6*
p5*p1+15/2*(-109368+504*n)*p6*p4*p2+15/2*(17640-168*n)*p6*p4*p1^2+15*(386116920
-12913272*n+97200*n^2)*p3*p2^2*p1+10*(-31954752+851256*n-3888*n^2)*p3*p2*p1^3+
45*(653701278384-450927657618/5*n+7807753673/2*n^2-126250129/2*n^3+718503/2*n^4
-7799/10*n^5)*p4*p2+45*(-82997474128+48097302506/5*n-2190261841/6*n^2+11018991/
2*n^3-197135/6*n^4+993/10*n^5)*p4*p1^2+20*(12227714568-1102684422*n+30762432*n^
2-289014*n^3+540*n^4)*p3*p1^3+60*(-108098035464+11551728156*n-386802612*n^2+
4804368*n^3-19656*n^4)*p3*p2*p1+30*(-4331474628+233066892*n-3426552*n^2+13464*n
^3)*p4*p3*p1+45/2*(13697173744-1149788574*n+29852550*n^2-289346*n^3+1242*n^4)*
p2^2*p1^2+15/2*(-1374310224+93825480*n-1794528*n^2+8856*n^3)*p2*p1^4+120*(
2955063002112-1668478976163/2*n+319111755929/4*n^2-13308051815/4*n^3+255107569/
4*n^4-2143219/4*n^5+3339/2*n^6)*p3*p1+45/2*(395191504-16819704*n+201756*n^2-964
*n^3)*p4*p2*p1^2+90*(-704624823360+2256869398744/15*n-329284392889/30*n^2+
4201409407/12*n^3-61353437/12*n^4+663063/20*n^5-2079/20*n^6)*p2*p1^2+(1959840-\
25920*n)*p3*p1^5+15/4*(-28181664+712584*n-5832*n^2)*p2^3*p1^2+15/8*(1815840-\
23328*n)*p2^2*p1^4+36*(-3597098100+193643160*n-2866020*n^2+11400*n^3)*p5*p2*p1+
72*(453567791880-133590219123/2*n+12961779335/4*n^2-255171035/4*n^3+1990345/4*n
^4-4879/4*n^5)*p5*p1+10*(-4462656444+182064888*n-1489680*n^2+792*n^3)*p3^2*p2+
10*(429681348-16969704*n+150624*n^2-120*n^3)*p3^2*p1^2+45/4*(-4072043184+
179155080*n-2010888*n^2+7152*n^3)*p4*p2^2+15/4*(-31498224+997872*n-6048*n^2)*p4
*p1^4+5*(-99648+864*n)*p3^2*p2*p1^2+360/11*(1819818-24024*n)*p11*p1+18*(1153020
-7920*n)*p10*p2+18*(-142340+1320*n)*p10*p1^2+20*(-96300+540*n)*p9*p2*p1+15*(-\
127440+480*n)*p8*p3*p1+45/4*(5536-48*n)*p8*p2*p1^2+90/7*(-237552+2016*n)*p7*p4*
p1+45/4*(2421600-19216*n+16*n^2)*p8*p4+45/8*(-32640+288*n)*p8*p2^2+72/7*(
2522520-15120*n)*p7*p5-360*p8*p1^4+46800*p9*p1^3+55080*p5^2*p1^2-437400*p5^2*p2
+8100*p4^2*p2^2-80640*p6*p3^2+40/3*(1443420-5400*n)*p9*p3-2160*p8*p5*p1-540*p8*
p4*p2+180*p8*p4*p1^2-3600*p9*p4*p1-243000*p4^3-19440*p2*p1^6+75600*p13*p1+7020*
p12*p2+15*(3150864-46080*n)*p4*p3*p2*p1+4320*p4*p3^2*p2+21600*p9*p5+10080*p8*p6
-2700*p4^2*p2*p1^2+64800*p4^2*p3*p1+23760*p10*p4-2340*p12*p1^2-1440*p4*p3^2*p1^
2-155520*p7*p3*p2+132047353776663/4*n^4-1079503037525232/7*n^3+2096574651827955
/7*n^2+15*(557914896-16084572*n+80976*n^2-84*n^3)*p6*p4+180/7*(-36338232+820008
*n-3024*n^2)*p7*p2*p1-734400*p14+36*(-2695492800+118870620*n-1154230*n^2+1210*n
^3)*p10+699516910305/4*n^6-3373933418406*n^5+45*(-129939089280+37397639978/3*n-\
1065698576/3*n^2+3220662*n^3-18118/3*n^4+10/3*n^5)*p8+45/4*(37536160800-\
2538847008*n+47236048*n^2-249400*n^3+360*n^4)*p4^2+15/16*(306054720-8131104*n+
69984*n^2)*p2^4+20*(733520363760-101030818278*n+4319923746*n^2-66092436*n^3+
283668*n^4-60*n^5)*p3^2+5*(2497824-14112*n)*p6^2+1/2*(118142640-5838480*n+58320
*n^2)*p1^6+90*(-8816636162880+3350268531166*n-6455708785844/15*n^2+
1443157580411/60*n^3-617287559*n^4+41366329/6*n^5-433531/15*n^6+993/20*n^7)*p4+
45*(3787563882816-1042377344798*n+474531718739/5*n^2-7255560537/2*n^3+119856751
/2*n^4-810779/2*n^5+12447/10*n^6)*p2^2+180*(3114337766400-777903690547673/420*n
+21968170451663/60*n^2-2585162444319/80*n^3+68048851883/48*n^4-1915252051/60*n^
5+14472093/40*n^6-1093887/560*n^7+81/16*n^8)*p1^2+30*(-17821440+262158*n-78*n^2
)*p12+36/5*(578932200-16557750*n+76950*n^2)*p5^2+60*(-2024106804720+
1927392781932/5*n-48250775683/2*n^2+608393156*n^3-5904591*n^4+84938/5*n^5-35/2*
n^6)*p6+15/2*(-123486975504+11911693806*n-338747634*n^2+3385170*n^3-14094*n^4)*
p2^3+15*(111392103744-95838359546/5*n+1136946639*n^2-28868183*n^3+303273*n^4-\
4779/5*n^5)*p1^4+180*(-6810976005120+2459878627096259/420*n-32594030358317/20*n
^2+9415519676099/48*n^3-2720569332211/240*n^4+1608927169/5*n^5-515944573/120*n^
6+2777685/112*n^7-5373/80*n^8)*p2+1659428289/28*n^8-9242083503/2*n^7+3645/4*n^
10-4734531/14*n^9
[9, 4, 4]
10443610423296*n-1728*p5*p3^2*p1-2160*p4*p3^2*p2+2592*p8*p2^2-1152*p3^4+62208*
p7*p3*p2+15120*p6*p4*p2+12096*p6*p5*p1+77760*p5*p4*p3-54432*p6*p2*p1^2-38880*p4
*p2^3-31104*p5*p2^2*p1+12*(4872-48*n)*p8*p3*p1+18*(-4987080+108480*n-480*n^2)*
p4*p2*p1^2+12*(-11632608+340884*n-1944*n^2)*p3*p2^2*p1+8*(184680-3888*n)*p3*p2*
p1^3+48*(5393265900-532329561*n+16191840*n^2-174609*n^3+486*n^4)*p3*p2*p1+72/5*
(1056600-14400*n)*p5*p4*p1+48/5*(2928960-53460*n)*p5*p3*p2+48/5*(-43920+720*n)*
p5*p3*p1^2+144/5*(121946580-4961340*n+38520*n^2)*p5*p2*p1+24*(179333568-9636432
*n+150810*n^2-540*n^3)*p4*p3*p1+144/7*(595728-6048*n)*p7*p2*p1+16*(1741572-\
49770*n+252*n^2)*p6*p3*p1+32/3*(-207900+2970*n)*p9*p3+9*(-111360+480*n)*p8*p4-\
3456*p11*p3+288/11*(-24420+264*n)*p11*p1+144*p8*p3^2+8/3*(39312-378*n)*p6*p3^2+
288/7*(-905842980+62428128*n-1218588*n^2+6552*n^3)*p7*p1+24*(-1611663816+
106415799*n-1712970*n^2+3717*n^3)*p6*p2+24*(69600720-3305736*n+46914*n^2-168*n^
3)*p6*p1^2+6*(1296288-9828*n)*p6*p2^2+9/2*(1915200-14400*n)*p4^2*p2+4*(5728968-\
175320*n+810*n^2)*p4*p3^2+32*(-9705960+296010*n-1980*n^2)*p9*p1+18*(-18608472+
441984*n-384*n^2)*p8*p2+18*(303096-6368*n+32*n^2)*p8*p1^2+96/7*(-34206228+
1271088*n-9828*n^2)*p7*p3+12*(-32247432+950880*n-4410*n^2)*p6*p4+288/5*(-\
25124918640+3467265625*n-153031950*n^2+2527985*n^3-12390*n^4)*p5*p1+36*(-\
40718749128+5616309236*n-239800866*n^2+3463720*n^3-9660*n^4)*p4*p2+36*(
3451249464-336334272*n+10306318*n^2-118000*n^3+360*n^4)*p4*p1^2+16*(-328271148+
24010758*n-605682*n^2+5508*n^3)*p3*p1^3+18*(-408568752+23955612*n-352320*n^2+
1296*n^3)*p2^2*p1^2+6*(12849840-471744*n+5184*n^2)*p2*p1^4+96*(-189562240800+
514845222847/10*n-46965235293/10*n^2+1468910377/8*n^3-12665049/4*n^4+851607/40*
n^5-729/20*n^6)*p3*p1+72*(39451367040-7546648573*n+470348952*n^2-11837891*n^3+
116676*n^4-324*n^5)*p2*p1^2+96/5*(-2191862340+161842545*n-3402540*n^2+18225*n^3
)*p5*p3+48/5*(-2824740+84960*n-720*n^2)*p5*p1^3+9*(209364624-7870320*n+37440*n^
2)*p4*p2^2+8*(308188944-16961661*n+253638*n^2-729*n^3)*p3^2*p2+8*(-11897136+
566370*n-7218*n^2)*p3^2*p1^2+16/9*(-336636+8424*n)*p3^3*p1+2*(-254880+2916*n)*
p3^2*p2^2-741312*p10*p2-995328*p7*p5+34560*p14+45516863867328/5*n^3-\
9689460822504/5*n^4+7776*p3^2*p2*p1^2+986892736248/5*n^5-50776172568/5*n^6+144*
(-217017964800+3734060970053/30*n-233664129473/10*n^2+229156703929/120*n^3-\
74199373*n^4+54458181/40*n^5-105597/10*n^6+243/10*n^7)*p1^2+72*(604682507520-\
227914092788*n+87684437288/3*n^2-3272606733/2*n^3+247762373/6*n^4-810683/2*n^5+
1449/2*n^6)*p4+1291916952/5*n^7-14004576/5*n^8-88982849672352/5*n^2+12*(-73080+
720*n)*p4*p3*p2*p1+139968*p2^3*p1^2+144/25*(-32734800+850500*n)*p5^2+4*(-169344
+1764*n)*p6^2+24*(1048320-16380*n)*p12+144/5*(159999840-7430280*n+72930*n^2)*
p10+9*(-2252789280+157124640*n-2881200*n^2+10800*n^3)*p4^2+36*(7972124160-\
2359147204/3*n+22974472*n^2-584828/3*n^3+32*n^4)*p8+12*(-4438795392+594326436*n
-26436948*n^2+509760*n^3-3888*n^4)*p1^4+36*(-252293307264+342935672738/5*n-\
6164906460*n^2+226717331*n^3-3182784*n^4+47547/5*n^5)*p2^2+6*(7092830016-\
647953884*n+15298200*n^2-64152*n^3)*p2^3+3/4*(-11736576+139968*n)*p2^4+144*(
491248800000-12537643256741/30*n+3454768897237/30*n^2-1652247161113/120*n^3+
9464839223/12*n^4-863517377/40*n^5+4898817/20*n^6-3078/5*n^7)*p2+16*(-\
46751311152+67012163457/10*n-630432675/2*n^2+47118813/8*n^3-78669/2*n^4+2187/40
*n^5)*p3^2+48*(130961310480-250560366693/10*n+3176168723/2*n^2-320231289/8*n^3+
694729/2*n^4-11823/40*n^5)*p6+34992/5*n^9-1008*p8*p6
[9, 4, 3, 2]
46656*p7*p2^2*p1+31104*p7*p3*p1^2-175289993035776*n+34992*p5*p3*p2^2+67392*p5*
p3^2*p1+90720*p5*p4*p2*p1+15552*p5^2*p1^2+60480*p4*p3^2*p2+16200*p4^2*p2^2+
24300*p4^2*p3*p1+6912*p3^4-1321920*p7*p4*p1-1458000*p5*p4*p3-699840*p5^2*p2-\
121500*p4^3+36/5*(-243180+1260*n)*p6*p5*p1+9/2*(-337680+1680*n)*p6*p4*p2+12*(-\
216720+2340*n)*p9*p2*p1+9*(-276660+2988*n-12*n^2)*p8*p3*p1+27/4*(6880-64*n)*p8*
p2*p1^2+36/7*(-416808+3024*n)*p7*p3*p2+3*(-391392+6336*n)*p3^2*p2*p1^2+3/2*(-\
436536+5832*n)*p3*p2^3*p1+108/5*(-5449024440+305718910*n-5251260*n^2+31010*n^3)
*p5*p2*p1+18*(-6459470700+361813407*n-6323343*n^2+44115*n^3-135*n^4)*p4*p3*p1+
27/2*(451834120-18890456*n+234320*n^2-960*n^3)*p4*p2*p1^2+27/8*(-223680+1920*n)
*p4*p2^2*p1^2+36/5*(-109424340+2513160*n-9720*n^2)*p5*p3*p2+36/5*(3812760-70740
*n+180*n^2)*p5*p3*p1^2+27/5*(5677800-99720*n)*p5*p2^2*p1+18/5*(-115920+1440*n)*
p5*p2*p1^3+12*(-72551934+1991871*n-15498*n^2+63*n^3)*p6*p3*p1+9*(3290616-65352*
n+336*n^2)*p6*p2*p1^2+54/5*(-68956860+1494900*n-6000*n^2)*p5*p4*p1+108/7*(-\
57075816+1539048*n-10080*n^2)*p7*p2*p1-2592*p5*p3*p2*p1^2+9*(711571608-31433658
*n+410868*n^2-1458*n^3)*p3*p2^2*p1+6*(-29349216+969984*n-9072*n^2)*p3*p2*p1^3+
36*(-170370271656+187411191763/10*n-2752958169/4*n^2+43648391/4*n^3-305415/4*n^
4+3159/20*n^5)*p3*p2*p1+2*(-583632+3024*n)*p6*p3^2+12960*p9*p5+216/35*(4578840-\
15120*n)*p7*p5+44064*p11*p3+216/11*(2126322-28314*n+66*n^2)*p11*p1+54/5*(
3479740-36960*n)*p10*p2+54/5*(-71060+440*n)*p10*p1^2+8*(4835700-53055*n+135*n^2
)*p9*p3+27/4*(4145200-21200*n+80*n^2)*p8*p4+27/8*(-236096+768*n)*p8*p2^2+45360*
p13*p1+12096*p8*p6+72/5*(62372805660-4550595660*n+195326145/2*n^2-723195*n^3+
3645/2*n^4)*p5*p3+36/5*(264415320-10124460*n+112500*n^2-360*n^3)*p5*p1^3+27/4*(
-8200665104+426170952*n-6039600*n^2+22520*n^3)*p4*p2^2+9/4*(-11352960+155520*n)
*p4*p1^4+6*(-9428684112+516564744*n-8395776*n^2+43320*n^3)*p3^2*p2+6*(532092240
-24029784*n+347400*n^2-1584*n^3)*p3^2*p1^2+9/4*(-43202736+1340208*n-7776*n^2)*
p2^3*p1^2+9/8*(1109376-20736*n)*p2^2*p1^4+27/8*(-101799360+2060000*n-9600*n^2)*
p4^2*p2+27/8*(2584800-14400*n)*p4^2*p1^2+3*(-131305824+3121200*n-14400*n^2)*p4*
p3^2+9/8*(6536160-73440*n)*p4*p2^3+4/3*(9336384-208008*n+648*n^2)*p3^3*p1+3/2*(
10285632-177120*n)*p3^2*p2^2+36/7*(1137024-12096*n)*p7*p1^3+9*(1018973592-\
29822100*n+170520*n^2-420*n^3)*p6*p4+9/2*(-86011632+1826160*n-4032*n^2)*p6*p2^2
+24*(445491990-16102260*n+162765*n^2-585*n^3)*p9*p1+27/2*(736053416-71649064/3*
n+172600*n^2-416/3*n^3)*p8*p2+27/2*(-30299720+751080*n-5000*n^2+16*n^3)*p8*p1^2
+72/7*(958381956-31504410*n+247086*n^2-756*n^3)*p7*p3-3240*p4*p3*p2^2*p1-1296*
p8*p5*p1-1080*p8*p4*p2-2160*p9*p3*p2-2592*p11*p2*p1-2376*p10*p3*p1+216/5*(
716398513080-211497032853/2*n+20904421075/4*n^2-442722895/4*n^3+4329905/4*n^4-\
18059/4*n^5)*p5*p1+27*(1113367799536-161782649264*n+23027838335/3*n^2-147289063
*n^3+3434245/3*n^4-2773*n^5)*p4*p2+27*(-116266024080+12874217790*n-476750470*n^
2+7650754*n^3-56750*n^4+180*n^5)*p4*p1^2+12*(14218048008-1187155926*n+33412455*
n^2-410490*n^3+2025*n^4)*p3*p1^3+27/2*(18808744448-1580536356*n+44598272*n^2-\
517620*n^3+1944*n^4)*p2^2*p1^2+9/2*(-1198428960+71844096*n-1397952*n^2+10368*n^
3)*p2*p1^4+72*(4816807253952-5471769762057/4*n+1329033990403/10*n^2-\
462040167191/80*n^3+493026581/4*n^4-5363867/4*n^5+139329/20*n^6-729/80*n^7)*p3*
p1+54*(-1094847052928+688907161133/3*n-165668167149/10*n^2+3244581095/6*n^3-\
17649509/2*n^4+142389/2*n^5-1053/5*n^6)*p2*p1^2+216/7*(30830784726-2353593270*n
+56544054*n^2-544950*n^3+2142*n^4)*p7*p1+18*(50408968092-3684121686*n+78981196*
n^2-562254*n^3+728*n^4)*p6*p2+18*(-3347685012+189951342*n-3388392*n^2+24486*n^3
-84*n^4)*p6*p1^2-1728*p3^3*p2*p1-174960*p4*p3*p1^3+1504221525659736/5*n^2+11664
*p3*p2^2*p1^3-881280*p14-17944126313058/5*n^5+986018990436/5*n^6+104976*p3*p1^5
+8748/5*n^10-3371382/5*n^9-864*p8*p3^2+6*(26460-252*n)*p6*p3*p2*p1+11880*p10*p4
+216*p8*p3*p2*p1+39312*p12*p2+18*(-34157760+525252*n-1092*n^2)*p12+3*(4995648-\
28224*n)*p6^2+108*(-11338740403200+19635790147075/2*n-83230987512899/30*n^2+
2753359691871/8*n^3-630865676291/30*n^4+661024147*n^5-319129211/30*n^6+654333/8
*n^7-2133/10*n^8)*p2+108*(5134247193600-6094659774019/2*n+3608035546561/6*n^2-\
1274646414661/24*n^3+141564495431/60*n^4-167636359/3*n^5+1451109/2*n^6-39285/8*
n^7+243/20*n^8)*p1^2+36*(-3396827353920+3344235099114/5*n-44362393194*n^2+
1245165166*n^3-15176140*n^4+370006/5*n^5-56*n^6)*p6+27*(-223382839680+
22598770176*n-2125439644/3*n^2+24296872/3*n^3-98348/3*n^4+32/3*n^5)*p8+12*(
1248022007424-909072284688/5*n+8703553020*n^2-172407075*n^3+1483356*n^4-25017/5
*n^5)*p3^2+27/4*(65597200000-4676554600*n+94511240*n^2-626600*n^3+1800*n^4)*p4^
2+9/16*(853096896-30189888*n+186624*n^2)*p2^4-780790129993872/5*n^3+
170005174500582/5*n^4+447432498/5*n^8-28941734808/5*n^7+9*(6950292-145140*n+720
*n^2)*p4*p3*p2*p1+27*(6327502095488-26860118085674/15*n+2577792665527/15*n^2-\
21726768977/3*n^3+429662353/3*n^4-6421147/5*n^5+19116/5*n^6)*p2^2+9/2*(-\
220934671104+23660228844*n-808741224*n^2+10529772*n^3-40176*n^4)*p2^3+108/25*(
1058311800-30218400*n+129600*n^2)*p5^2+108/5*(-4854609760+685437830/3*n-2662550
*n^2+26620/3*n^3)*p10+54*(-14676779586560+17022439937011/3*n-752737180025*n^2+
534750561763/12*n^3-3810414812/3*n^4+52049398/3*n^5-314425/3*n^6+723/4*n^7)*p4+
3/10*(37441440-699840*n)*p1^6+9*(148058146176-23265264168*n+1260515580*n^2-\
30860976*n^3+370548*n^4-1944*n^5)*p1^4
[9, 4, 2, 2, 2]
62208*p7*p2*p1^3+3114694959759360*n-559872*p7*p2^2*p1-419904*p5*p3*p2^2+171072*
p5*p3*p2*p1^2+129600*p5*p4*p1^3-2598912*p5*p3^2*p1-2799360*p5*p4*p2*p1-2395008*
p5^2*p1^2+64800*p4^2*p2*p1^2-194400*p4^2*p2^2-2721600*p4^2*p3*p1-46080*p3^4+
38880*p4*p3*p2^2*p1+190080*p4*p3^2*p1^2-656640*p4*p3^2*p2-3456*p5*p3*p1^4-4320*
p4*p3*p2*p1^3-2304*p3^3*p1^3+20736*p3^3*p2*p1-26820217080958464/5*n^2+33436800*
p5*p4*p3+11757312*p5^2*p2+5832000*p4^3+432/7*(1641360-10080*n)*p7*p4*p1+288/7*(
699300-4536*n)*p7*p3*p2+288/7*(-167580+1512*n)*p7*p3*p1^2+288/5*(1576260-4410*n
)*p6*p5*p1+36*(710640-2520*n)*p6*p4*p2+36*(-156240+840*n)*p6*p4*p1^2+16*(14364-\
126*n)*p6*p3*p1^3+96*(841950-5670*n)*p9*p2*p1+72*(1547400-13588*n+12*n^2)*p8*p3
*p1+54*(-68576+288*n)*p8*p2*p1^2+144/5*(2219580-34020*n)*p5*p2*p1^3+96*(
338314536-9501408*n+45633*n^2-63*n^3)*p6*p3*p1+72*(-26370288+573216*n-1512*n^2)
*p6*p2*p1^2+432/5*(369562260-9988200*n+37050*n^2)*p5*p4*p1+288/5*(257847570-\
4899285*n+13365*n^2)*p5*p3*p2+864/7*(244348440-6383160*n+26460*n^2)*p7*p2*p1+72
*(-2520996624+105393414*n-1071882*n^2+1944*n^3)*p3*p2^2*p1+48*(294324636-\
12821343*n+147366*n^2-243*n^3)*p3*p2*p1^3+288*(524022595248-307034096671/5*n+
9360250105/4*n^2-277047957/8*n^3+689067/4*n^4-7047/40*n^5)*p3*p2*p1+864/5*(
20121202830-1215621825*n+20231265*n^2-79230*n^3)*p5*p2*p1+144*(24522289500-\
1515045912*n+26582888*n^2-125385*n^3+135*n^4)*p4*p3*p1+108*(-2646519584+
136314492*n-1910640*n^2+5420*n^3)*p4*p2*p1^2+24*(2802744-47952*n)*p3^2*p2*p1^2+
12*(891000-8748*n)*p3*p2^3*p1+12*(-110664+972*n)*p3*p2^2*p1^3+24*(3823596-86880
*n+270*n^2)*p4*p3*p1^3+27*(1576800-15120*n)*p4*p2^2*p1^2+9*(-125280+960*n)*p4*
p2*p1^4+288/5*(-38654550+979665*n-3825*n^2)*p5*p3*p1^2+216/5*(-19175040+246780*
n)*p5*p2^2*p1+157248*p12*p1^2-570240*p10*p4+32*(-123930+1530*n)*p9*p1^3+54*(-\
13726080+88240*n-80*n^2)*p8*p4+27*(354144-1152*n)*p8*p2^2+9*(6624-64*n)*p8*p1^4
+1728/35*(-13969620+52920*n)*p7*p5+16*(1049328-2520*n)*p6*p3^2+1728/11*(-\
12865512+188782*n-66*n^2)*p11*p1+432/5*(-7879740+67320*n)*p10*p2+432/5*(1424500
-19800*n)*p10*p1^2+64*(-12190230+103455*n-135*n^2)*p9*p3+36*(188742960-3229128*
n+6048*n^2)*p6*p2^2+12*(2706480-67032*n+336*n^2)*p6*p1^4+72/25*(-151200+2400*n)
*p5*p1^5+27*(274494240-5172000*n+13200*n^2)*p4^2*p2+27*(-40824480+1014400*n-\
3600*n^2)*p4^2*p1^2+24*(336371040-6714960*n+13320*n^2)*p4*p3^2+108*(260346480-\
28378736/3*n+79472*n^2-112/3*n^3)*p8*p1^2+576/7*(-2631905136+78944250*n-415926*
n^2+756*n^3)*p7*p3+288/7*(-29791944+919632*n-6300*n^2)*p7*p1^3+192*(-1977647400
+81908985*n-778770*n^2+825*n^3)*p9*p1+108*(-1945212624+57260848*n-312448*n^2+
160*n^3)*p8*p2+5760*p8*p3^2+31104*p11*p2*p1+114048*p10*p3*p1+86400*p9*p4*p1+
25920*p9*p3*p2+108*(-75260016512+7253701296*n-226033188*n^2+2582596*n^3-7344*n^
4)*p2^2*p1^2+36*(9444088896-834903236*n+24438424*n^2-265212*n^3+648*n^4)*p2*p1^
4+576*(-12256424943552+3617850590879*n-7349443798381/20*n^2+333223274299/20*n^3
-5753800129/16*n^4+56663567/16*n^5-1020231/80*n^6+729/80*n^7)*p3*p1+432*(
3102081677568-10658800465454/15*n+857051038267/15*n^2-6262084793/3*n^3+
218832377/6*n^4-1388487/5*n^5+5967/10*n^6)*p2*p1^2+54*(21241821936-1014663528*n
+11955600*n^2-30720*n^3)*p4*p2^2+18*(296772816-15020016*n+219080*n^2-720*n^3)*
p4*p1^4+48*(24367605072-1195885830*n+15125742*n^2-51480*n^3)*p3^2*p2+48*(-\
3102013752+167989434*n-2636838*n^2+10716*n^3)*p3^2*p1^2+24/5*(-29136720+1217580
*n-13500*n^2)*p3*p1^5+18*(216314784-6635520*n+34992*n^2)*p2^3*p1^2+9*(-20522592
+578928*n-2592*n^2)*p2^2*p1^4+6/5*(1283040-25920*n)*p2*p1^6+1728/5*(-\
2066268501960+325442031304*n-69011702855/4*n^2+3047815165/8*n^3-13479745/4*n^4+
65683/8*n^5)*p5*p1+216*(-2882459467344+416776821020*n-19061710787*n^2+654981255
/2*n^3-1933915*n^4+6269/2*n^5)*p4*p2+216*(417392442416-53885195544*n+7126867009
/3*n^2-87865977/2*n^3+955925/3*n^4-1083/2*n^5)*p4*p1^2+96*(-70785146448+
38144806167/5*n-1128059793/4*n^2+34563147/8*n^3-96579/4*n^4+729/40*n^5)*p3*p1^3
+1728/7*(-106689530136+9014145392*n-233519664*n^2+2006746*n^3-3486*n^4)*p7*p1+
144*(-135423843660+9563706936*n-183066870*n^2+944958*n^3-840*n^4)*p6*p2+144*(
17123162532-1229785536*n+27183758*n^2-194250*n^3+196*n^4)*p6*p1^2+576/5*(-\
169801279350+12076753170*n-465409665/2*n^2+1191645*n^3-3645/2*n^4)*p5*p3+288/5*
(-2435862090+147912210*n-2706165*n^2+14205*n^3)*p5*p1^3+9*(-11378880+110160*n)*
p4*p2^3+32/3*(-38502000+772632*n-648*n^2)*p3^3*p1+12*(-16958736+250128*n)*p3^2*
p2^2+4*(-324576+6336*n)*p3^2*p1^4+72*(-2968893648+86277240*n-367500*n^2+420*n^3
)*p6*p4-8640*p9*p3*p1^2+36288*p8*p5*p1+12960*p8*p4*p2-4320*p8*p4*p1^2+288*p8*p3
*p1^3+15552*p3*p2*p1^5+320771921259888/5*n^5-17183544939072/5*n^6+94562541504*n
^7-6348730752/5*n^8-69984/5*n^10+36698832/5*n^9-145152*p8*p6+48*(-70308+378*n)*
p6*p3*p2*p1+72*(-28927908+522780*n-990*n^2)*p4*p3*p2*p1-2592*p8*p3*p2*p1+
21150720*p14+144*(100245600-1486212*n+1092*n^2)*p12+216*(598644446400-\
60239847680*n+5417581052/3*n^2-52221256/3*n^3+124396/3*n^4-32/3*n^5)*p8+288*(
8606696258160-8510380909086/5*n+111393599646*n^2-2955836975*n^3+30501016*n^4-\
489629/5*n^5+56*n^6)*p6+96*(-3237476858064+469489937424*n-21572094450*n^2+
748481367/2*n^3-2286348*n^4+9861/2*n^5)*p3^2+36*(572758368480-58914225900*n+
1814743260*n^2-19161072*n^3+54432*n^4)*p2^3+54*(-180687834240+12825376320*n-\
245161840*n^2+1211000*n^3-1800*n^4)*p4^2+12/5*(-1091365920+85735560*n-2208600*n
^2+19440*n^3)*p1^6+432*(35206700256000-13743621014836*n+1826517601278*n^2-\
638171239391/6*n^3+34372555721/12*n^4-405434201/12*n^5+1771087/12*n^6-723/4*n^7
)*p4+216*(-15513496081920+22107320357672/5*n-2101705841641/5*n^2+33891962717/2*
n^3-298355181*n^4+20994191/10*n^5-22734/5*n^6)*p2^2+864*(-12130457875200+
37206617871116/5*n-23054533892498/15*n^2+8658973278397/60*n^3-830151162443/120*
n^4+21218241001/120*n^5-94867017/40*n^6+592767/40*n^7-567/20*n^8)*p1^2+9/2*(-\
1815652800+52843104*n-279936*n^2)*p2^4-698112*p11*p3-362880*p9*p5-3456*p11*p1^3
-471744*p12*p2-2903040*p13*p1-3057392925973728/5*n^4+2800016066241792*n^3+24*(-\
13970880+42336*n)*p6^2+864/25*(-3070487700+87478650*n-311850*n^2)*p5^2+864/5*(
13685752080-632642450*n+6427190*n^2-10340*n^3)*p10+864*(25970643014400-\
22711120118692*n+97061113960142/15*n^2-48172571746973/60*n^3+385457244745/8*n^4
-34377501895/24*n^5+2424145589/120*n^6-4788993/40*n^7+459/2*n^8)*p2+72*(-\
547291095552+530061544492/5*n-37364837097/5*n^2+494531015/2*n^3-4012812*n^4+
284661/10*n^5-243/5*n^6)*p1^4
[9, 3, 3, 3]
-5314410*p4*p1^4-175528811821770*n+243/4*(123670944-5648952*n+82344*n^2-432*n^3
)*p3*p2^2*p1+81/2*(-1505520+7776*n)*p3*p2*p1^3+590490*p2^2*p1^4+243*(-\
23946808656+2599102746*n-96982905*n^2+1699500*n^3-14883*n^4+54*n^5)*p3*p2*p1+
729/5*(-783120960+43120290*n-780645*n^2+5970*n^3-15*n^4)*p5*p2*p1+243/2*(-\
712274400+28728540*n-305220*n^2+1080*n^3)*p4*p3*p1+729/8*(48789704-1561080*n+
12240*n^2)*p4*p2*p1^2+2125764*p1^6-852930*p4*p2^2*p1^2-52488*p5*p2*p1^3+1644624
*p5*p3*p1^2-524880*p7*p4*p1-2939328*p7*p3*p2+243/4*(755760-4320*n)*p4*p3*p2*p1+
38931581434311/160*n^6-1262924868702429/320*n^5+5670085128114213/160*n^4-\
12702619752271263/80*n^3+12103427860284879/40*n^2+43740*p5*p4*p2*p1+486/5*(
9351785520-671445180*n+14764005*n^2-132030*n^3+405*n^4)*p5*p3+243/5*(13002480-\
117180*n+540*n^2)*p5*p1^3+729/16*(-1875295184+140672360*n-3974384*n^2+51560*n^3
-240*n^4)*p4*p2^2+81/2*(-1610858232+93557016*n-1791468*n^2+14328*n^3-36*n^4)*p3
^2*p2+81/2*(27313344-197424*n+432*n^2)*p3^2*p1^2+1458/7*(3867036600-256214700*n
+5083722*n^2-42588*n^3+126*n^4)*p7*p1+4374*p8*p2*p1^2+243/16*(-8699312+298224*n
-2592*n^2)*p2^3*p1^2+1458/5*(98647849440-14015944150*n+1320986105/2*n^2-\
54820745/4*n^3+574905/4*n^4-2895/4*n^5+5/4*n^6)*p5*p1+729/4*(173127338352-\
27170254174*n+1545553269*n^2-44424619*n^3+738638*n^4-6739*n^5+25*n^6)*p4*p2+729
/4*(-13576941552+1264569942*n-35770826*n^2+415830*n^3-1890*n^4)*p4*p1^2+81*(
1195340400-60212700*n+627156*n^2-1944*n^3)*p3*p1^3+729/8*(2517704256-210054548*
n+6206360*n^2-82548*n^3+432*n^4)*p2^2*p1^2+243/8*(-87864768+3282768*n-27216*n^2
)*p2*p1^4+486*(692669114880-195605553088*n+37810450571/2*n^2-3312904649/4*n^3+
74621127/4*n^4-933765/4*n^5+6275/4*n^6-9/2*n^7)*p3*p1+729/2*(-149277585152+
150883876203/5*n-4174775665/2*n^2+133985341/2*n^3-2322053/2*n^4+109449/10*n^5-\
45*n^6)*p2*p1^2+243/2*(8769704132-754648489*n+47495049/2*n^2-747789/2*n^3+6027/
2*n^4-21/2*n^5)*p6*p2+243/2*(-294117908+10130358*n-81396*n^2+126*n^3)*p6*p1^2+
24377760*p9*p3-48114*p10*p1^2+15921360*p11*p1+729/10*(1135860-18590*n+110*n^2)*
p10*p2+28553472*p7*p5+81/16*(35280-336*n)*p6*p2^3+729/16*(861720-8360*n+40*n^2)
*p8*p4-108864*p6*p3^2+729/32*(-217776+3280*n-16*n^2)*p8*p2^2-1653372*p5^2*p2+
273375/2*p4^2*p2^2+13122*p2^4*p1^2+466560*p3^3*p1+729/7*(-8275680+176400*n-1008
*n^2)*p7*p2*p1+81*(-4491984+17136*n)*p6*p3*p1+3444525*p4^2*p1^2+243/4*(246456-\
504*n)*p6*p2*p1^2+729/10*(-6195600+62700*n-300*n^2)*p5*p4*p1+162*(45088560-\
1003860*n+5940*n^2)*p9*p1+243/5*(-22802040+547560*n-3240*n^2)*p5*p3*p2+729/8*(
162410064-7198552*n+111826*n^2-796*n^3+2*n^4)*p8*p2+729/8*(-1466728+5208*n-24*n
^2)*p8*p1^2+486/7*(133469280-3468528*n+21168*n^2)*p7*p3+243/4*(170343852-\
5673290*n+63420*n^2-210*n^3)*p6*p4+729/20*(1362240-24600*n+120*n^2)*p5*p2^2*p1+
243/8*(-32329416+1277892*n-16968*n^2+84*n^3)*p6*p2^2-3645*p4*p2^4+629856*p7*p1^
3+243/8*(-155400+840*n)*p6*p4*p2-1944*p3^2*p2^3+157464*p5*p3*p2^2-2916*p5*p2^3*
p1+29160*p4*p3^2*p2-820125/2*p4^3+243*p8*p2^3-3645*p8*p4*p2+729/32*(-30056880+
966400*n-8400*n^2)*p4^2*p2+81/4*(-13815360+150480*n-720*n^2)*p4*p3^2+243/32*(
5750016-188480*n+1440*n^2)*p4*p2^3+81/8*(3034368-59040*n+288*n^2)*p3^2*p2^2+81/
8*(-161760+1728*n)*p3*p2^3*p1-163296*p6*p5*p1-787320*p5*p4*p3-1924560*p9*p2*p1+
40095*p10*p4-58320*p8*p3*p1+104976*p7*p2^2*p1+35377657767/160*n^8-2902245177699
/320*n^7+132678*p12*p2-34992*p3^2*p2*p1^2+5990193/160*n^10-1162681371/320*n^9-\
59049/320*n^11+729/4*(-34040806800+10735349347/3*n-767141789/6*n^2+12938011/6*n
^3-19969*n^4+193/2*n^5-1/6*n^6)*p8+729/4*(948853617408-1402012399843/5*n+
59388113291/2*n^2-7782992008/5*n^3+95617409/2*n^4-4650212/5*n^5+10898*n^6-297/5
*n^7)*p2^2-991440*p14+729*(-1677457510400+21973481401714/15*n-16902551092293/40
*n^2+6590215821767/120*n^3-1787458507853/480*n^4+23472764261/160*n^5-885414827/
240*n^6+14831161/240*n^7-103179/160*n^8+513/160*n^9)*p2+729/5*(-763722960+
74841415/2*n-2353505/4*n^2+8965/2*n^3-55/4*n^4)*p10+13608*p8*p6+243/640*(-\
1007040+25920*n)*p2^5-8019*p10*p2^2+729/2*(-2171839488000+1709951816629/2*n-\
1415205975617/12*n^2+22875661694/3*n^3-6378152279/24*n^4+11109673/2*n^5-293087/
4*n^6+1693/3*n^7-15/8*n^8)*p4+729/16*(10251541760-783689280*n+20635370*n^2-\
264400*n^3+1350*n^4)*p4^2+243/64*(353431232-25436752*n+666720*n^2-6480*n^3)*p2^
4+81*(186133343040-27534311862*n+1368360852*n^2-30141903*n^3+331767*n^4-1737*n^
5+3*n^6)*p3^2+243*(-507095709120+1028023098123/10*n-14635209659/2*n^2+
1966689725/8*n^3-9121987/2*n^4+252546/5*n^5-315*n^6+7/8*n^7)*p6+243/8*(-\
40122086112+26836817232/5*n-280897668*n^2+7754952*n^3-117252*n^4+3888/5*n^5)*p2
^3+243/4*(15931999488-1978180884*n+71340066*n^2-910116*n^3+4374*n^4)*p1^4+729*(
749426585600-13266455993129/30*n+1296658693402/15*n^2-905259756313/120*n^3+
2667600139/8*n^4-40584926/5*n^5+6940667/60*n^6-37329/40*n^7+27/8*n^8)*p1^2+243/
2*(-5569200+87906*n-546*n^2)*p12+81/4*(832608-4704*n)*p6^2+729/25*(166219200-\
4564350*n+28350*n^2)*p5^2
[9, 3, 3, 2, 2]
3118039827683328*n-23328*p5*p1^5+93312*p7*p2*p1^3-641520*p4*p2*p1^4+216/5*(-\
28243620+499140*n-2340*n^2)*p5*p3*p1^2-15552*p3^2*p1^4+162/5*(-53897280+1369560
*n-8580*n^2)*p5*p2^2*p1+108/5*(2327760-39060*n+180*n^2)*p5*p2*p1^3+648/7*(
373562112-12293484*n+130452*n^2-504*n^3)*p7*p2*p1+216/5*(535643100-12947580*n+
66420*n^2)*p5*p3*p2+54*(-33887196+917364*n-9366*n^2+42*n^3)*p6*p2*p1^2+324/5*(
396099960-9663750*n+58800*n^2)*p5*p4*p1+9*(-250416+2592*n)*p3*p2^2*p1^3+72*(
372391236-9769158*n+75852*n^2-252*n^3)*p6*p3*p1+18*(1325880-6480*n)*p4*p3*p1^3+
81/4*(4407168-91960*n+600*n^2)*p4*p2^2*p1^2+1296/7*(-129127223064+10675912443*n
-588075831/2*n^2+3701544*n^3-47733/2*n^4+63*n^5)*p7*p1+108*(-200670274980+
15871458582*n-405065115*n^2+17649849/4*n^3-21210*n^4+147/4*n^5)*p6*p2+108*(
17196470508-1119293784*n+24753561*n^2-1070559/4*n^3+1680*n^4-21/4*n^5)*p6*p1^2+
432/5*(-236038004190+17536988520*n-393311520*n^2+3411450*n^3-10530*n^4)*p5*p3+
27*(541019304-15859368*n+127344*n^2-336*n^3)*p6*p2^2+9*(716688-1512*n)*p6*p1^4+
81/4*(551376000-12910200*n+66000*n^2)*p4^2*p2+81/4*(-28803840+509000*n-3600*n^2
)*p4^2*p1^2+18*(495177408-9769680*n+43920*n^2)*p4*p3^2+27/4*(-68759712+1459080*
n-6120*n^2)*p4*p2^3+8*(-39638160+671328*n-2592*n^2)*p3^3*p1+18*(3335904-51984*n
+144*n^2)*p3^2*p2*p1^2+9*(-61836480+1093248*n-1152*n^2)*p3^2*p2^2+144*(-\
2245361040+178456005/2*n-4490235/4*n^2+12735/2*n^3-45/4*n^4)*p9*p1+81*(-\
3478183740+130249992*n-1441339*n^2+6194*n^3-7*n^4)*p8*p2+81*(218977548-6665828*
n+71553*n^2-422*n^3+n^4)*p8*p1^2+432/7*(-3822697116+119318976*n-970200*n^2+3024
*n^3)*p7*p3+216/7*(-16098264+291816*n-1512*n^2)*p7*p1^3+54*(-4240654992+
124877340*n-829290*n^2+1470*n^3)*p6*p4+9*(6088608-101088*n)*p3*p2^3*p1+216/5*(-\
1866297420+89877105*n-2797875/2*n^2+9495*n^3-45/2*n^4)*p5*p1^3+27/16*(-543168+
7776*n)*p2^4*p1^2+162/7*(-255696+2016*n)*p7*p2^2*p1+72*(-68982396048+6595878447
*n-438192513/2*n^2+3384576*n^3-52911/2*n^4+81*n^5)*p3*p1^3+216/5*(1591380-4410*
n)*p6*p5*p1+27*(2260440-6300*n)*p6*p4*p2+216*(672529632000-403538958891/5*n+
3390819768*n^2-67251204*n^3+686766*n^4-15039/5*n^5)*p3*p2*p1+81*(-90805142320+
45426495966/5*n-333443591*n^2+6020512*n^3-56469*n^4+1134/5*n^5)*p2^2*p1^2+54*(-\
4148046504+220570848*n-3918900*n^2+25056*n^3)*p3*p2^2*p1+36*(263244816-10586124
*n+141012*n^2-648*n^3)*p3*p2*p1^3+108*(28902078252-1723141626*n+33170922*n^2-\
272580*n^3+810*n^4)*p4*p3*p1+81*(-2941152960+155417704*n-2906677*n^2+26110*n^3-\
105*n^4)*p4*p2*p1^2+27*(7992241392-620718720*n+17000970*n^2-216216*n^3+1134*n^4
)*p2*p1^4+648/5*(26443636620-1719090315*n+38237670*n^2-380265*n^3+1470*n^4)*p5*
p2*p1+432*(-15988750314048+23656826475489/5*n-2432502378327/5*n^2+230724984273/
10*n^3-4572871911/8*n^4+80320707/10*n^5-2564709/40*n^6+1161/5*n^7)*p3*p1+324*(
3885211119552-1751780591903/2*n+702299087821/10*n^2-108033908417/40*n^3+
458321487/8*n^4-5735183/8*n^5+203841/40*n^6-81/5*n^7)*p2*p1^2+18/5*(-7488720+
38880*n)*p3*p1^5+27/2*(422747040-20289012*n+329148*n^2-1944*n^3)*p2^3*p1^2+27/4
*(-22385760+730080*n-6480*n^2)*p2^2*p1^4+1296/5*(-2619436663920+820515440553/2*
n-88629402495/4*n^2+2193690255/4*n^3-57164085/8*n^4+202599/4*n^5-1245/8*n^6)*p5
*p1+162*(-3955713194784+603726666333*n-31171053301*n^2+2861688159/4*n^3-\
32711227/4*n^4+180245/4*n^5-345/4*n^6)*p4*p2+162*(477172771840-58343648395*n+
2492353622*n^2-201103167/4*n^3+2221171/4*n^4-14093/4*n^5+45/4*n^6)*p4*p1^2+81/2
*(37707141648-2322608880*n+46635266*n^2-372140*n^3+930*n^4)*p4*p2^2+27/2*(
151166832-4471560*n+32400*n^2)*p4*p1^4+17496*p2^3*p1^4+36*(39066029028-\
2247824052*n+40570650*n^2-263124*n^3+126*n^4)*p3^2*p2+36*(-2900380716+135745164
*n-2048742*n^2+12780*n^3-18*n^4)*p3^2*p1^2-1061424*p5^2*p1^2+324/5*(-21280380+
281435*n-935*n^2)*p10*p2+28658448*p5^2*p2+324/5*(944900-9955*n+55*n^2)*p10*p1^2
+48*(-18432630+159300*n-540*n^2)*p9*p3+64152*p10*p2^2-427680*p10*p4+27*(-78120+
420*n)*p6*p4*p1^2-808704*p11*p3+27/2*(19152-168*n)*p6*p2^2*p1^2-894240*p9*p1^3+
58968*p12*p1^2+10368*p8*p3^2-163296*p8*p6-1020600*p4^2*p2^2+81/2*(-19113840+
96520*n-280*n^2)*p8*p4+72*(2044620-26010*n+90*n^2)*p9*p2*p1+54*(1481928-10704*n
+48*n^2)*p8*p3*p1+81/2*(-152200+1736*n-8*n^2)*p8*p2*p1^2+324/7*(1485960-5040*n)
*p7*p4*p1+216/7*(2241792-12096*n)*p7*p3*p2-272160*p9*p5-1945944*p12*p2+12*(
1669248-6048*n)*p6*p3^2+9/2*(-281232+1512*n)*p6*p2^3+81/4*(2754192-27040*n+64*n
^2)*p8*p2^2+1296/35*(-20138580+52920*n)*p7*p5+1944*p8*p1^4-2177280*p13*p1+1296/
11*(-13587288+191334*n-858*n^2)*p11*p1+14580*p4*p2^4-972*p8*p2^3+7776*p3^2*p2^3
-4860*p4*p2^3*p1^2+202176*p11*p2*p1-82944*p3^4+4374000*p4^3-1283040*p4*p3^2*p2+
12960*p4*p3^2*p1^2-1461888*p5*p3^2*p1-2099520*p5*p3*p2^2+116640*p5*p2^3*p1-3888
*p5*p2^2*p1^3-1166400*p4^2*p3*p1+97200*p4^2*p2*p1^2+324*p8*p2^2*p1^2+31492800*
p5*p4*p3+19440*p5*p4*p1^3+32400*p9*p4*p1+51840*p9*p3*p2-6480*p9*p2^2*p1+27216*
p8*p5*p1+24300*p8*p4*p2-1620*p8*p4*p1^2+419904*p2*p1^6+57024*p10*p3*p1+194400*
p4*p3*p2^2*p1-2592*p3^2*p2^2*p1^2+41472*p3^3*p2*p1+54*(-48079368+1017600*n-5040
*n^2)*p4*p3*p2*p1+36*(-187488+1008*n)*p6*p3*p2*p1-5184*p8*p3*p2*p1+202176*p5*p3
*p2*p1^2-7128*p10*p2*p1^2-2052864*p7*p3*p1^2-5773680*p5*p4*p2*p1+
14182728780084156/5*n^3-26942448106774134/5*n^2-3155173747038477/5*n^4+648/5*(
19334034720-931207200*n+12355310*n^2-66220*n^3+110*n^4)*p10+23794560*p14+648/25
*(-4392958500+126431550*n-708750*n^2)*p5^2+27/80*(7680960-116640*n)*p2^5+162*(
818645667840-85598656290*n+2861526074*n^2-78514503/2*n^3+509467/2*n^4-1413/2*n^
5+1/2*n^6)*p8+81/2*(-250227798720+18435740160*n-404325640*n^2+3360100*n^3-9900*
n^4)*p4^2+216*(11545543049040-11731808714934/5*n+325670655513/2*n^2-4980963750*
n^3+592792515/8*n^4-22790103/40*n^5+16569/8*n^6-21/8*n^7)*p6+72*(-4376353793184
+3286580041206/5*n-32757643242*n^2+701720901*n^3-7141779*n^4+155439/5*n^5-9*n^6
)*p3^2+324*(46889424953280-18591900349173*n+5101410180539/2*n^2-635405816871/4*
n^3+39766161497/8*n^4-82666837*n^5+3017415/4*n^6-13873/4*n^7+45/8*n^8)*p4+162*(
-20796921063360+30543568725261/5*n-619952005678*n^2+577658686613/20*n^3-\
2796087917/4*n^4+188433571/20*n^5-273723/4*n^6+1053/5*n^7)*p2^2+18*(-20956320+
63504*n)*p6^2+108*(147026880-2236416*n+8736*n^2)*p12+27/8*(-5425222464+
286889616*n-4824000*n^2+27216*n^3)*p2^4+27*(859804064208-512896157274/5*n+
4293392427*n^2-83604720*n^3+793161*n^4-15066/5*n^5)*p2^3+9/5*(-494154000+
21442320*n-174960*n^2)*p1^6+54*(-595801395648+526982955924/5*n-6691880664*n^2+
203175582*n^3-6647181/2*n^4+150606/5*n^5-243/2*n^6)*p1^4-159671501004339/40*n^6
+688031693953551/10*n^5+648*(34588865203200-609097480806111/20*n+88158063757957
/10*n^2-22634034697363/20*n^3+2920888788421/40*n^4-812735879293/320*n^5+
4011360299/80*n^6-92934581/160*n^7+299043/80*n^8-3321/320*n^9)*p2+648*(-\
15997758336000+195774107592363/20*n-40344779678951/20*n^2+7597905835527/40*n^3-\
746604137681/80*n^4+83418032439/320*n^5-354046661/80*n^6+7468407/160*n^7-11367/
40*n^8+243/320*n^9)*p1^2-49330141857/20*n^8+5193756163179/40*n^7-7123059/40*n^
10+559454283/20*n^9+19683/40*n^11
[9, 3, 2, 2, 2, 2]
1728*(-2089495221440+1322943971489/5*n-22967520711/2*n^2+219663600*n^3-3865737/
2*n^4+32751/5*n^5)*p3*p2*p1+62208*p7*p1^5-58536335833731072*n+95147136*p5^2*p1^
2-12918528*p5*p3*p2*p1^2-349920*p4*p1^6+55296*p3^3*p1^3+432*(197367552-3902960*
n+11760*n^2)*p4*p3*p2*p1+288*(736848-2352*n)*p6*p3*p2*p1+177292800*p5*p4*p2*p1+
11664*p8*p2^3-138240*p8*p3^2+2177280*p8*p6-593744256*p5^2*p2+20487168*p11*p3-\
4752*p10*p1^4+1728/7*(-5962656+28224*n)*p7*p3*p2+1296*(-1659622900120+
228226583429*n-11075680060*n^2+490438521/2*n^3-5312091/2*n^4+26909/2*n^5-45/2*n
^6)*p4*p1^2+576*(304978705632-177840772488/5*n+1482072498*n^2-56685717/2*n^3+
259542*n^4-9639/10*n^5)*p3*p1^3+648*(338695100240-185781537423/5*n+2885503595/2
*n^2-50758601/2*n^3+409845/2*n^4-5589/10*n^5)*p2^2*p1^2+216*(-46988691488+
47433364911/10*n-688498737/4*n^2+11403649/4*n^3-86607/4*n^4+1053/20*n^5)*p2*p1^
4+1728/7*(986832-6048*n)*p7*p3*p1^2+1296*(10721852492480-3277522156485/2*n+
990297054899/12*n^2-6995874591/4*n^3+204307099/12*n^4-297815/4*n^5+195/2*n^6)*
p4*p2+10368/5*(7715782484720-1276295816519*n+72877304190*n^2-3706406345/2*n^3+
45296275/2*n^4-264607/2*n^5+615/2*n^6)*p5*p1+1296/7*(870912-6048*n)*p7*p2^2*p1+
864/7*(-115752+1008*n)*p7*p2*p1^3+1728/5*(-8280720+11760*n)*p6*p5*p1+216*(-\
5797260+10500*n)*p6*p4*p2+216*(945000-2520*n)*p6*p4*p1^2+96*(-98280+504*n)*p6*
p3*p1^3+432*(-8063800+59032*n-88*n^2)*p8*p3*p1+324*(1061476-10996*n+20*n^2)*p8*
p2*p1^2+3456*(42345270389232-25947927244053/2*n+13881593425357/10*n^2-\
2734499479837/40*n^3+6866562317/4*n^4-91558163/4*n^5+3145701/20*n^6-17793/40*n^
7)*p3*p1+2592/7*(-8184960+30240*n)*p7*p4*p1+2592*(-11214929001984+
162818409109111/60*n-2363643145101/10*n^2+472018187725/48*n^3-1735696111/8*n^4+
104509031/40*n^5-643041/40*n^6+567/16*n^7)*p2*p1^2+576*(-8319420+95085*n-225*n^
2)*p9*p2*p1+198955255158/5*n^8-11553698825829/5*n^7+372737600986248/5*n^6-\
1307882265973245*n^5+60102933558892182/5*n^4-268890075561873708/5*n^3+
101529370312900488*n^2+16669800*p4^2*p2^2+96*(-4904928+10080*n)*p6*p3^2+36*(
605556-2268*n)*p6*p2^3+2592/5*(58555090-705375*n+1815*n^2)*p10*p2+2592/5*(-\
9076430+129305*n-385*n^2)*p10*p1^2+384*(57594960-466470*n+990*n^2)*p9*p3+192*(
1061280-13545*n+45*n^2)*p9*p1^3+324*(60461700-283340*n+380*n^2)*p8*p4+162*(-\
6736940+57924*n-84*n^2)*p8*p2^2+54*(-96844+916*n-4*n^2)*p8*p1^4+10368/35*(
62956320-141120*n)*p7*p5+10368/11*(67307812-994708*n+2860*n^2)*p11*p1-174960*p4
*p2^4+144*(-22899072+386280*n-360*n^2)*p3^2*p2*p1^2+72*(-19788984+276048*n)*p3*
p2^3*p1+72*(2436336-34992*n)*p3*p2^2*p1^3+48600*p4^2*p1^4+72/5*(-189240+2160*n)
*p3*p2*p1^5+108*(-98280+504*n)*p6*p2^2*p1^2+36/5*(-19732080+682560*n-6480*n^2)*
p2*p1^6+36*(10332-84*n)*p6*p2*p1^4+64*(192585600-3343248*n+4752*n^2)*p3^3*p1+72
*(159267456-2426760*n+1512*n^2)*p3^2*p2^2+414720*p4*p3*p2*p1^3+24*(2343168-\
37224*n+72*n^2)*p3^2*p1^4-4250880*p4*p3*p2^2*p1+96768*p8*p3*p2*p1+5184/5*(-\
94124250420+6406167270*n-275388045/2*n^2+1146275*n^3-7005/2*n^4)*p5*p2*p1+27/2*
(2212704-23328*n)*p2^4*p1^2+1152*(9181813320-399170250*n+9487665/2*n^2-19845*n^
3+45/2*n^4)*p9*p1+864*(-106976751640+6945988568*n-135554072*n^2+904730*n^3-1530
*n^4)*p4*p3*p1+648*(14187474244-845892359*n+16098065*n^2-115645*n^3+255*n^4)*p4
*p2*p1^2+432*(14767856056-777337970*n+12387954*n^2-61560*n^3)*p3*p2^2*p1+648*(
9961986840-1052005750/3*n+3343478*n^2-34628/3*n^3+8*n^4)*p8*p2+288*(-1888905576
+97602990*n-1579086*n^2+8424*n^3)*p3*p2*p1^3+5184/7*(-1484396172+48235782*n-\
427434*n^2+1260*n^3)*p7*p2*p1+576*(-1663802532+46939746*n-288120*n^2+462*n^3)*
p6*p3*p1+648*(-1379654040+53736674*n-607080*n^2+2472*n^3-2*n^4)*p8*p1^2+3456/7*
(11561148984-352219476*n+2403660*n^2-5544*n^3)*p7*p3+1728/7*(188266260-6354894*
n+64722*n^2-252*n^3)*p7*p1^3+432*(202746726-5877543*n+46452*n^2-105*n^3)*p6*p2*
p1^2+432*(12856958730-368999505*n+1903020*n^2-1995*n^3)*p6*p4+216*(-1438027542+
37911363*n-251748*n^2+441*n^3)*p6*p2^2+2592/5*(-1787945160+47420950*n-217950*n^
2)*p5*p4*p1+1728/5*(-1515589500+33555240*n-139320*n^2)*p5*p3*p2+72*(-22097502+
602175*n-5124*n^2+21*n^3)*p6*p1^4+432/25*(1980600-34350*n+150*n^2)*p5*p1^5+162*
(-1563829800+32925200*n-115800*n^2)*p4^2*p2+23328*p2^2*p1^6+1728/5*(217211580-\
5404200*n+27240*n^2)*p5*p3*p1^2+1296/5*(194973600-4537350*n+23310*n^2)*p5*p2^2*
p1+864/5*(-24307500+589410*n-3690*n^2)*p5*p2*p1^3+144*(-24680304+512760*n-2160*
n^2)*p4*p3*p1^3+162*(-23484504+459240*n-1680*n^2)*p4*p2^2*p1^2+54*(2411364-\
45020*n+240*n^2)*p4*p2*p1^4-93312*p3^2*p2^3-1555200*p9*p4*p1-967680*p9*p3*p2+
207360*p9*p3*p1^2+155520*p9*p2^2*p1-17280*p9*p2*p1^3-580608*p8*p5*p1-324000*p8*
p4*p2+77760*p8*p4*p1^2-115182000*p4^3+1105920*p3^4+1728/5*(12348165240-\
821150670*n+36332025/2*n^2-168255*n^3+1305/2*n^4)*p5*p1^3+324*(-104940439760+
6105408561*n-108025311*n^2+688295*n^3-1185*n^4)*p4*p2^2+108*(-1736454616+
97123439*n-1771571*n^2+13265*n^3-45*n^4)*p4*p1^4+288*(-111632764620+6177335184*
n-99754776*n^2+518808*n^3-144*n^4)*p3^2*p2+288*(15091610148-864760584*n+
15226788*n^2-88992*n^3+36*n^4)*p3^2*p1^2+144/5*(205581240-9237750*n+125610*n^2-\
540*n^3)*p3*p1^5+108*(-1877716584+91003230*n-1330632*n^2+5346*n^3)*p2^3*p1^2+54
*(218943184-9836042*n+134256*n^2-486*n^3)*p2^2*p1^4+9*(-227160+1944*n)*p2^3*p1^
4+10368/7*(440244233156-39348394008*n+1138234335*n^2-13323660*n^3+67515*n^4-126
*n^5)*p7*p1+864*(567693668514-43967983920*n+1038520945*n^2-9590049*n^3+37226*n^
4-42*n^5)*p6*p2+864*(-77414679846+5982757515*n-306418413/2*n^2+3286143/2*n^3-\
15309/2*n^4+21/2*n^5)*p6*p1^2+3456/5*(679582576320-50315040120*n+1068285810*n^2
-7760520*n^3+18630*n^4)*p5*p3+162*(224321040-5331000*n+23400*n^2)*p4^2*p1^2+144
*(-1523131200+28133880*n-75960*n^2)*p4*p3^2+54*(166619268-2994300*n+8640*n^2)*
p4*p2^3+176256*p5*p3*p1^4-2659392*p5*p2^3*p1+373248*p5*p2^2*p1^3-5184*p5*p2*p1^
5+59875200*p4^2*p3*p1-5540400*p4^2*p2*p1^2+22083840*p4*p3^2*p2-4354560*p4*p3^2*
p1^2+116640*p4*p2^3*p1^2-6480*p4*p2^2*p1^4-774144*p3^3*p2*p1+62208*p3^2*p2^2*p1
^2-3456*p3^2*p2*p1^4-6912*p8*p3*p1^3-7776*p8*p2^2*p1^2+432*p8*p2*p1^4-6200064*
p11*p2*p1-3117312*p10*p3*p1+427680*p10*p2*p1^2-786620160*p5*p4*p3-6998400*p5*p4
*p1^3+67516416*p5*p3^2*p1+38351232*p5*p3*p2^2+9963972/5*n^10-386071839*n^9-\
19683/5*n^11+1728*(-30638934586260+12559823967747/2*n-866953089555/2*n^2+
102041761997/8*n^3-682312015/4*n^4+4359257/4*n^5-12635/4*n^6+21/8*n^7)*p6+
5806080*p9*p5+209952*p1^8+576*(11909593944816-1800856938426*n+88406846328*n^2-\
1772923119*n^3+15465153*n^4-53625*n^5+9*n^6)*p3^2+216*(-2345564849664+
2732647295457/10*n-42768585315/4*n^2+734043435/4*n^3-5733981/4*n^4+77031/20*n^5
)*p2^3+1296*(53470101152256-190330519451215/12*n+24069394295956/15*n^2-\
17398528670521/240*n^3+38860136579/24*n^4-151397175/8*n^5+4494939/40*n^6-19683/
80*n^7)*p2^2+864*(-455003640+6702150*n-19110*n^2)*p12+27*(13957783200-670464972
*n+9557568*n^2-37908*n^3)*p2^4+1296*(-2296964189520+240598805145*n-46822461617/
6*n^2+576151253/6*n^3-1529840/3*n^4+6697/6*n^5-1/2*n^6)*p8+324*(720852164800-\
52955695470*n+1096537640*n^2-7363850*n^3+14400*n^4)*p4^2+144*(64075536-105840*n
)*p6^2+5184/5*(-57247570380+16369669525/6*n-131700085/4*n^2+838475/6*n^3-715/4*
n^4)*p10-1154736*p10*p2^2+11262240*p10*p4+269568*p11*p1^3-7076160*p12*p1^2+
98703360*p13*p1+40098240*p12*p2-602795520*p14+72/5*(6043710720-537501090*n+
16735665*n^2-224910*n^3+1215*n^4)*p1^6+2592*(-118152713973840+568467971391145/
12*n-26142843718773/4*n^2+19365623231605/48*n^3-72754822705/6*n^4+4384269857/24
*n^5-33690167/24*n^6+81847/16*n^7-45/8*n^8)*p4+432*(2101705565472-8702447819853
/20*n+336158117901/10*n^2-102387817827/80*n^3+211402209/8*n^4-12003579/40*n^5+
68391/40*n^6-243/80*n^7)*p1^4+5184*(-83508584342400+74261061732827*n-\
260395794026759/12*n^2+13977814270984/5*n^3-42822695829079/240*n^4+238401267387
/40*n^5-5157457379/48*n^6+85651231/80*n^7-224541/40*n^8+891/80*n^9)*p2+5184*(
39671954582400-24991374508595*n+642865668201323/120*n^2-12741049109311/24*n^3+
13292110056061/480*n^4-391972165351/480*n^5+282670457/20*n^6-1142595/8*n^7+
123093/160*n^8-243/160*n^9)*p1^2+27/10*(-16245360+174960*n)*p2^5+5184/25*(
13322341200-375489450*n+1672650*n^2)*p5^2
[9, 2, 2, 2, 2, 2, 2]
1157869348640686080*n+31104*p2*p1^8-940584960*p5*p3*p2^2-1902845952*p5*p3^2*p1-\
5904783360*p5*p4*p2*p1-4828336128*p5^2*p1^2-1586304000*p4^2*p3*p1-396576000*p4^
2*p2^2-451353600*p4*p3^2*p2+15801827328*p5^2*p2-18432000*p3^4+17905950720*p5*p4
*p3+2449440000*p4^3+2304000*p8*p3^2-233280*p8*p2^3+576*p8*p1^6+17280*(6683968-\
41304*n+40*n^2)*p8*p3*p1+13824*(-223775076+5752782*n-22470*n^2)*p5*p3*p1^2+
10368*(-161466102+3681909*n-16065*n^2)*p5*p2^2*p1+6912*(34297578-908145*n+4725*
n^2)*p5*p2*p1^3+5760*(35183820-791440*n+1980*n^2)*p4*p3*p1^3+6480*(24704208-\
463500*n+1170*n^2)*p4*p2^2*p1^2+2160*(-5043336+108300*n-330*n^2)*p4*p2*p1^4+
4320*(104328-378*n)*p6*p2^2*p1^2+1440*(-25704+126*n)*p6*p2*p1^4+3840*(170352-\
420*n)*p6*p3*p1^3+51840/7*(-744660+4536*n)*p7*p2^2*p1+34560/7*(192780-1512*n)*
p7*p2*p1^3+13824*(7190064-5292*n)*p6*p5*p1+8640*(3812760-4410*n)*p6*p4*p2+8640*
(-1146600+1470*n)*p6*p4*p1^2+69120/7*(-1123080+5040*n)*p7*p3*p1^2+12960*(-\
1239056+12324*n-12*n^2)*p8*p2*p1^2+103680/7*(6924540-17640*n)*p7*p4*p1+69120/7*
(3923640-15120*n)*p7*p3*p2+23040*(7240680-81135*n+135*n^2)*p9*p2*p1-2073600*p8*
p3*p2*p1+69120*(1316029161836-174425510764*n+15718466863/2*n^2-604954111/4*n^3+
2502657/2*n^4-14337/4*n^5)*p3*p2*p1+5760*(23524128-364392*n+216*n^2)*p3^2*p2*p1
^2+2880*(15900192-192456*n)*p3*p2^3*p1+2880*(-3299460+44064*n)*p3*p2^2*p1^3+576
*(620280-9072*n)*p3*p2*p1^5+41472*(66811319316-4742862642*n+205745127/2*n^2-\
801381*n^3+4095/2*n^4)*p5*p2*p1+34560*(75605424132-5098993091*n+98788635*n^2-\
576980*n^3+720*n^4)*p4*p3*p1+25920*(-12191464424+783452541*n-15302073*n^2+98270
*n^3-150*n^4)*p4*p2*p1^2+17280*(-11073410028+595457661*n-9116391*n^2+38070*n^3)
*p3*p2^2*p1+11520*(2043533788-117759623*n+1986939*n^2-9072*n^3)*p3*p2*p1^3+
207360/7*(1185340380-39165714*n+326214*n^2-756*n^3)*p7*p2*p1+23040*(1314856872-\
36949080*n+192402*n^2-210*n^3)*p6*p3*p1+17280*(-208840716+6322848*n-44667*n^2+
63*n^3)*p6*p2*p1^2+20736*(1420639122-37707495*n+136815*n^2)*p5*p4*p1+13824*(
991346580-21001302*n+73710*n^2)*p5*p3*p2+82944/7*(-41028120+63504*n)*p7*p5+3456
/7*(-45780+504*n)*p7*p1^5+3840*(2919168-4200*n)*p6*p3^2+1440*(-394632+1134*n)*
p6*p2^3+96*(5544-42*n)*p6*p1^6+15360*(-37096560+272970*n-450*n^2)*p9*p3+7680*(-\
1872360+26865*n-45*n^2)*p9*p1^3+12960*(-38852880+145460*n-140*n^2)*p8*p4+6480*(
4646160-37116*n+36*n^2)*p8*p2^2+2160*(309904-4092*n+4*n^2)*p8*p1^4+20736*(-\
39805920+471240*n-990*n^2)*p10*p2+20736*(10549000-155760*n+330*n^2)*p10*p1^2+
414720/11*(-56788732+834834*n-2002*n^2)*p11*p1+82944*(-4620656103644+
7960946592123/10*n-47369180222*n^2+9915338027/8*n^3-119597303/8*n^4+3194093/40*
n^5-1225/8*n^6)*p5*p1+51840*(-6114748182456+1896798529521/2*n-96088922757/2*n^2
+8041820825/8*n^3-37162513/4*n^4+287003/8*n^5-145/4*n^6)*p4*p2+51840*(
1108220623064-327334402513/2*n+25643142916/3*n^2-1603433099/8*n^3+26083733/12*n
^4-77401/8*n^5+45/4*n^6)*p4*p1^2+23040*(-235030333140+30413702625*n-1410321321*
n^2+117617529/4*n^3-273465*n^4+3483/4*n^5)*p3*p1^3+25920*(-244121365904+
288769313727/10*n-1196197041*n^2+172539209/8*n^3-162399*n^4+13527/40*n^5)*p2^2*
p1^2+8640*(43350411056-50330999119/10*n+421511473/2*n^2-31363643/8*n^3+60867/2*
n^4-2349/40*n^5)*p2*p1^4+138240*(-23259556578312+36718865842119/5*n-\
16266490193523/20*n^2+332112008645/8*n^3-1070765176*n^4+283878409/20*n^5-\
1816597/20*n^6+1737/8*n^7)*p3*p1+103680*(6567710932656-25141955183759/15*n+
4658858763977/30*n^2-826472391359/120*n^3+7677444601/48*n^4-155951747/80*n^5+
892233/80*n^6-1539/80*n^7)*p2*p1^2+540*(-2120256+17496*n)*p2^4*p1^2+360*(384480
-2916*n)*p2^3*p1^4+72*(-58272+324*n)*p2^2*p1^6+414720/7*(-294305021556+
27540325421*n-1642216863/2*n^2+9411766*n^3-85701/2*n^4+63*n^5)*p7*p1+34560*(-\
344529482304+26909650446*n-1258877781/2*n^2+22126125/4*n^3-37905/2*n^4+63/4*n^5
)*p6*p2+34560*(61120337544-5137362048*n+281317687/2*n^2-6005223/4*n^3+11795/2*n
^4-21/4*n^5)*p6*p1^2+27648*(-409963949920+30412835334*n-629124951*n^2+4170978*n
^3-8505*n^4)*p5*p3+13824*(-12012689836+909338577*n-22496061*n^2+211890*n^3-630*
n^4)*p5*p1^3+192/7*(-100716+1512*n)*p3*p1^7+2880*(-104238960+1400328*n-648*n^2)
*p3^2*p2^2+960*(-4934352+90936*n-72*n^2)*p3^2*p1^4+2160*(-112188024+1844640*n-\
4050*n^2)*p4*p2^3+144*(931872-22120*n+90*n^2)*p4*p1^6+2560*(-150578640+2295216*
n-2160*n^2)*p3^3*p1+3456/5*(-6722310+202545*n-1365*n^2)*p5*p1^5+6480*(
1020463920-20349000*n+55500*n^2)*p4^2*p2+6480*(-232811040+5738800*n-17100*n^2)*
p4^2*p1^2+5760*(960764880-15988840*n+33120*n^2)*p4*p3^2+8640*(962460324-\
24864084*n+148365*n^2-189*n^3)*p6*p2^2+2880*(42158340-1481844*n+13293*n^2-21*n^
3)*p6*p1^4+46080*(-6936079572+624390135/2*n-14488515/4*n^2+26625/2*n^3-45/4*n^4
)*p9*p1+25920*(-6429688584+225416766*n-2059729*n^2+6130*n^3-3*n^4)*p8*p2+25920*
(1320672936-167431502/3*n+626803*n^2-6106/3*n^3+n^4)*p8*p1^2+138240/7*(-\
7331047080+217510524*n-1341732*n^2+2520*n^3)*p7*p3+69120/7*(-242541348+9472806*
n-98490*n^2+252*n^3)*p7*p1^3+17280*(-8160590844+227550540*n-994875*n^2+735*n^3)
*p6*p4+36288000*p9*p4*p1+20736000*p9*p3*p2-6912000*p9*p3*p1^2-4665600*p9*p2^2*
p1+1036800*p9*p2*p1^3+10450944*p8*p5*p1+5443200*p8*p4*p2-1814400*p8*p4*p1^2+
230400*p8*p3*p1^3+233280*p8*p2^2*p1^2-25920*p8*p2*p1^4+226437120*p11*p2*p1+
91238400*p10*p3*p1-20528640*p10*p2*p1^2+12960*(66055188360-3857500524*n+
66111444*n^2-373755*n^3+495*n^4)*p4*p2^2+4320*(2198319096-148739378*n+3224736*n
^2-24695*n^3+45*n^4)*p4*p1^4+11520*(69614743552-3832657916*n+58974534*n^2-\
264240*n^3+54*n^4)*p3^2*p2+11520*(-12929975392+795842616*n-14192346*n^2+70116*n
^3-18*n^4)*p3^2*p1^2+1152*(-364064140+21601269*n-387591*n^2+1998*n^3)*p3*p1^5+
4320*(1730627928-87299613*n+1212354*n^2-3645*n^3)*p2^3*p1^2+2160*(-311925600+
16178178*n-231042*n^2+648*n^3)*p2^2*p1^4+288*(53394136-2721407*n+37296*n^2-81*n
^3)*p2*p1^6+587865600*p5*p4*p1^3+78382080*p5*p2^3*p1-25159680*p5*p3*p1^4+
539965440*p5*p3*p2*p1^2+870912*p5*p2*p1^5-19595520*p5*p2^2*p1^3-6912*p5*p1^7+
237168000*p4^2*p2*p1^2+3499200*p4*p2^4+622080*p4*p3*p1^5-22118400*p4*p3*p2*p1^3
+115084800*p4*p3*p2^2*p1+138931200*p4*p3^2*p1^2-11664000*p4^2*p1^4+388800*p4*p2
^2*p1^4-3499200*p4*p2^3*p1^2+16588800*p3^3*p2*p1+1866240*p3^2*p2^3-1843200*p3^3
*p1^3-1866240*p3^2*p2^2*p1^2-8640*p4*p2*p1^6+207360*p3^2*p2*p1^4-4608*p3^2*p1^6
+1076545896426164160*n^3-242759743816475232*n^4+16074547200*p14+207360*(-\
20580262315200+398785454216903/30*n-117805141397051/40*n^2+24348158738339/80*n^
3-8010939707411/480*n^4+99527266129/192*n^5-1119941347/120*n^6+15159597/160*n^7
-76383/160*n^8+243/320*n^9)*p1^2+69120*(17011665510840-17669093514408/5*n+
491472187493/2*n^2-14377314147/2*n^3+745058895/8*n^4-22174201/40*n^5+11221/8*n^
6-7/8*n^7)*p6+17280*(-1393973289216+1584032656432/5*n-545601438159/20*n^2+
23389578473/20*n^3-433948197/16*n^4+26925993/80*n^5-155979/80*n^6+243/80*n^7)*
p1^4+17280*(-159776880+2971200*n-6540*n^2)*p4*p3*p2*p1-1132185600*p12*p2-\
503193600*p11*p3+377395200*p12*p1^2-3553320960*p13*p1-25159680*p11*p1^3-\
104509440*p9*p5+30792960*p10*p2^2+1140480*p10*p1^4-31933440*p8*p6-34560*p9*p1^5
-1520214421173912*n^6+26605640064139632*n^5-2016786926754093312*n^2+34560*(
296281440-4243512*n+10920*n^2)*p12+108*(10484640-87480*n)*p2^5+41472*(
35578462920-1687911225*n+39282925/2*n^2-77000*n^3+165/2*n^4)*p10+5760*(-\
41954976+38808*n)*p6^2+51840*(-28834916770176+8698766644858*n-17848672184477/20
*n^2+203067951423/5*n^3-14417202321/16*n^4+162562217/16*n^5-4378807/80*n^6+7587
/80*n^7)*p2^2+8640*(1385292112128-1642267959291/10*n+12931412553/2*n^2-\
867372615/8*n^3+1543671/2*n^4-64881/40*n^5)*p2^3+51840*(1349110482720-\
427477328740/3*n+4593869785*n^2-109133317/2*n^3+1615421/6*n^4-3037/6*n^5+1/6*n^
6)*p8+207360*(42388399569600-1142993661083147/30*n+1352658345873817/120*n^2-\
117512055980257/80*n^3+9066490000735/96*n^4-3024230721619/960*n^5+1115774373/20
*n^6-254563313/480*n^7+80295/32*n^8-1269/320*n^9)*p2+23040*(-6779565371760+
1038285717486*n-51048437298*n^2+2001173247/2*n^3-8123091*n^4+48597/2*n^5-3*n^6)
*p3^2+72/7*(-8503936+399672*n-4536*n^2)*p1^8+12960*(-434824056240+31993163580*n
-643231220*n^2+3845450*n^3-5850*n^4)*p4^2+1080*(-9181544832+436305420*n-5732532
*n^2+17496*n^3)*p2^4-785511073008*n^8+46778193508392*n^7+41472/5*(-8469898920+
232708140*n-873180*n^2)*p5^2+103680*(62408771901840-25366338397496*n+
42512775000617/12*n^2-220198109088*n^3+105369565539/16*n^4-4631260535/48*n^5+
33280249/48*n^6-106153/48*n^7+15/8*n^8)*p4+576*(-7661810784+8609404923/10*n-\
35275467*n^2+5125437/8*n^3-4671*n^4+243/40*n^5)*p1^6-33376536*n^10+7211641248*n
^9+52488*n^11+11520*(-601776+1260*n)*p6*p3*p2*p1-239500800*p10*p4
[8, 8]
9216*p3^2*p2^2+1703936*p3^2*p1^2-1983560728576/3*n+331776*p2^4-40960/3*p4*p1^4+
64/3*(-574776668+47794584*n-1072896*n^2+6144*n^3)*p3*p2*p1+16/3*(832320-13824*n
)*p3*p2^2*p1-1280*p7*p4*p1+64/5*(-11858120+416280*n-2880*n^2)*p5*p2*p1-16384*p3
*p2*p1^3+32/3*(-14224120+466800*n-1920*n^2)*p4*p3*p1+8*(493120-7680*n)*p4*p2*p1
^2+128/5*(2853168870-1051344680/3*n+13040400*n^2-508480/3*n^3+640*n^4)*p5*p1+16
*(4699647720-590401920*n+22330880*n^2-266240*n^3)*p4*p2+16*(-361310400+85548160
/3*n-560640*n^2+5120/3*n^3)*p4*p1^2+64/9*(29493952-1238400*n+3072*n^2)*p3*p1^3+
8*(43134752-2072064*n+18432*n^2)*p2^2*p1^2+8/3*(-1381376+24576*n)*p2*p1^4+128/3
*(23886685476-18179480048/3*n+499781360*n^2-50393344/3*n^3+228992*n^4-1024*n^5)
*p3*p1+32*(-4735603296+2466991424/3*n-43743488*n^2+2466304/3*n^3-4096*n^4)*p2*
p1^2+128/7*(88887708-14883512/3*n+66976*n^2-448/3*n^3)*p7*p1+32/3*(164337264-\
9550464*n+129024*n^2)*p6*p2+32/3*(-6136704+172032*n)*p6*p1^2+128/15*(210428470-\
12915030*n+223860*n^2-1440*n^3)*p5*p3+64/15*(261760-1920*n)*p5*p1^3+4*(-\
20336640+645120*n)*p4*p2^2+32/9*(-24134832+906336*n-6912*n^2)*p3^2*p2+25344*p10
*p2+19968*p11*p1+28160*p9*p3+128/35*(10990-210*n)*p7*p5+128/9*(789030-15840*n)*
p9*p1+8*(1627920-34560*n)*p8*p2+128/21*(2268301-54810*n+336*n^2)*p7*p3+16/3*(
2565360-53760*n)*p6*p4+6400*p4^2*p1^2-184320*p8*p1^2+65536/9*p1^6-1674940448768
/3*n^3+64/7*(-53900+672*n)*p7*p2*p1+32/5*(-96400+1200*n)*p5*p4*p1+64/15*(-\
173520+2160*n)*p5*p3*p2-327680*p4*p3^2+12544*p6^2+15360*p4*p3*p2*p1+4096/3*p7*
p1^3-458752*p6*p3*p1-307200*p4^2*p2-258048*p6*p2^2-1536*p7*p3*p2+1033611149312/
9*n^4+24204279808/45*n^6-11143741440*n^5+1048576/9*n^8-12582912*n^7+64*p7^2+
50187286986752/45*n^2+32*(-79014957840+28427668832*n-10250894080/3*n^2+
527705600/3*n^3-12032000/3*n^4+102400/3*n^5)*p4+16*(32010261696-8207661824*n+
683355904*n^2-22777856*n^3+270336*n^4)*p2^2-960*p14+32/3*(-76440+1092*n)*p12+16
*(-853572720+74917416*n-1923840*n^2+15360*n^3)*p8+64/5*(-14504490+575850*n-5280
*n^2)*p10+4*(222012000-13081600*n+179200*n^2)*p4^2+64/3*(-15776365605+
2795460458*n-160656608*n^2+3630592*n^3-28672*n^4)*p6+64/9*(5316486349-678174276
*n+27011076*n^2-407616*n^3+2304*n^4)*p3^2+8/3*(-795534336+66106368*n-1327104*n^
2)*p2^3+64*(29341796400-16172542016*n+25732376896/9*n^2-213390336*n^3+64638976/
9*n^4-102400*n^5+4096/9*n^6)*p1^2+16/3*(488206080-160040960/3*n+1466368*n^2-\
16384/3*n^3)*p1^4+64/25*(2930200-87000*n+900*n^2)*p5^2+64*(-67799818800+
56245541984*n-14908270848*n^2+5065070080/3*n^3-270341120/3*n^4+6760448/3*n^5-\
65536/3*n^6)*p2+28800*p8*p4
[8, 7, 2]
31298199224320/3*n-504*p7*p2^2*p1-896*p7*p3*p1^2-1344*p6*p3*p2*p1-1120*p6*p4*p1
^2+48384*p8*p3*p1+36960*p9*p2*p1+29568*p10*p1^2+20160*p7*p3*p2+4536*p8*p2^2+
13440*p6*p4*p2+7168*p6*p3^2-60480*p4*p2^3-145152*p3^2*p2^2-573440/3*p3^3*p1+56/
15*(15900-180*n)*p6*p5*p1+4*(15750-140*n)*p7*p4*p1+7*(-31983760+975280*n-5520*n
^2)*p4*p2*p1^2+14/3*(-37840428+988776*n-4752*n^2)*p3*p2^2*p1+28/9*(1525248-\
19872*n)*p3*p2*p1^3+56/3*(15109876848-1453594777*n+41583618*n^2-394044*n^3+1155
*n^4)*p3*p2*p1+56/5*(410347140-18698650*n+211560*n^2-630*n^3)*p5*p2*p1+28/3*(
507173982-23718200*n+281160*n^2-960*n^3)*p4*p3*p1+14/3*(-139632+1152*n)*p6*p2*
p1^2+28/5*(5168100-109700*n+600*n^2)*p5*p4*p1+56/15*(4339440-30240*n)*p5*p3*p2+
56/15*(-207840+1440*n)*p5*p3*p1^2+14/5*(-155880+1080*n)*p5*p2^2*p1+56/9*(
4471026-83268*n+288*n^2)*p6*p3*p1+8*(3165624-56539*n+147*n^2)*p7*p2*p1-665280*
p10*p2-739200*p9*p3-1008*p8*p6-1568*p13*p1+7/2*(-231120+1440*n)*p8*p4+112/11*(-\
149578+1716*n)*p11*p1+16/5*(-275800+3150*n)*p7*p5+112/9*(-34364946+1096425*n-\
7425*n^2)*p9*p1+7*(-43797888+989352*n-1512*n^2)*p8*p2+7*(2386368-45216*n)*p8*p1
^2+16/3*(-60631816+1448076*n-4746*n^2)*p7*p3+8/3*(-100072+588*n)*p7*p1^3+14/3*(
-71417808+1880400*n-10560*n^2)*p6*p4+112*p7*p6*p1+28*(109960741440-21534043810*
n+4160976323/3*n^2-36540782*n^3+1148965/3*n^4-1288*n^5)*p2*p1^2+112/3*(-\
498588749568+8041675517933/60*n-287772210209/24*n^2+1363235753/3*n^3-179479519/
24*n^4+942589/20*n^5-98*n^6)*p3*p1+56/9*(-1294378312+93420300*n-1808184*n^2+
7104*n^3)*p3*p1^3+7*(-1552416224+106141904*n-1962768*n^2+9600*n^3)*p2^2*p1^2+7/
3*(103147392-4664128*n+37632*n^2)*p2*p1^4+112/5*(-68446392872+56024186045/6*n-\
4892610385/12*n^2+82411235/12*n^3-488075/12*n^4+245/4*n^5)*p5*p1+14*(-\
103557709872+13592812388*n-547075628*n^2+7655600*n^3-25640*n^4)*p4*p2+14*(
10862082192-1099216164*n+102864310/3*n^2-370700*n^3+3050/3*n^4)*p4*p1^2+28/3*(-\
3980745792+244447644*n-3761484*n^2+10128*n^3)*p6*p2+28/3*(287263440-14177456*n+
170976*n^2-256*n^3)*p6*p1^2+112/15*(-5066101600+318363150*n-5174400*n^2+18900*n
^3)*p5*p3+56/15*(-23125360+704280*n-2520*n^2)*p5*p1^3+7/2*(528451728-19334400*n
+109440*n^2)*p4*p2^2+7/6*(1224960-18560*n)*p4*p1^4+28/9*(606706128-22262112*n+
114912*n^2)*p3^2*p2+28/9*(-37156128+1106496*n-4608*n^2)*p3^2*p1^2+7/6*(1497312-\
20736*n)*p2^3*p1^2+7/4*(-257600+3200*n)*p4^2*p1^2+14/9*(5402880-23040*n)*p4*p3^
2+16*(-2662310854+2193330013/12*n-86559977/24*n^2+253043/12*n^3-343/24*n^4)*p7*
p1+7/3*(3220272-25920*n)*p6*p2^2+7/4*(4704000-38400*n)*p4^2*p2-28289816313472/
15*n^4+404773243649152/45*n^3+3584/3*p6*p1^4+5040*p4*p2^2*p1^2+10752*p3^2*p2*p1
^2+26880*p14+28/3*(2184000-32760*n)*p12-28672/3*p3*p1^5+14/9*(-313488+4032*n)*
p6^2+56/5*(370450080-15463800*n+148500*n^2)*p10-5376*p2^2*p1^4+56/25*(-74888800
+2003400*n-12600*n^2)*p5^2+14*(-649950294528+862042307456/5*n-14947971096*n^2+
529107472*n^3-7402712*n^4+137184/5*n^5)*p2^2+14/3*(-14802929280+6513809152/3*n-\
305718112/3*n^2+5254976/3*n^3-23072/3*n^4)*p1^4+7/2*(-5428881360+345106720*n-\
5849600*n^2+25600*n^3)*p4^2+56*(-564120806400+1619870562374/5*n-2740604851027/
45*n^2+44957648584/9*n^3-1764751505/9*n^4+165740354/45*n^5-1352008/45*n^6+784/9
*n^7)*p1^2+7/24*(-33302016+497664*n)*p2^4-797400077030144/45*n^2+14*(
19725763200-1806035586*n+48606333*n^2-406974*n^3+147*n^4)*p8+56/3*(334112338560
-306601911551/5*n+7329936767/2*n^2-86712199*n^3+1486633/2*n^4-4454/5*n^5)*p6+
10344174848/45*n^7-112720384/45*n^8+28*(1556901964800-575574532521*n+
428546849591/6*n^2-3816141571*n^3+549335993/6*n^4-886988*n^5+5968/3*n^6)*p4-896
*p7^2+8960*p4*p3*p1^3+6048*p3*p2^3*p1-139901428352/15*n^6+8432766435968/45*n^5+
7/3*(18346801824-1621291968*n+38287296*n^2-200448*n^3)*p2^3+56/9*(-116801596384
+15427466232*n-627094884*n^2+8904168*n^3-30576*n^4)*p3^2+7/45*(-4667392+107520*
n)*p1^6+56*(1264667904000-5342033945734/5*n+4350821841293/15*n^2-507099828398/
15*n^3+5607652639/3*n^4-740669168/15*n^5+8416712/15*n^6-26432/15*n^7)*p2+351232
/45*n^9+14/3*(-239760+1440*n)*p4*p3*p2*p1
[8, 6, 3]
10446389379072*n-864*p7*p2^2*p1-1728*p5*p3*p2^2-1440*p5*p4*p2*p1+38880*p8*p2^2+
40320*p9*p2*p1+20160*p7*p4*p1+40320*p6*p4*p2+16128*p6*p5*p1-628992*p11*p1-19200
*p7*p1^3+23040*p5*p4*p3-322560*p6*p2*p1^2-73728*p5*p3*p1^2-311040*p4*p2^3-86400
*p4^2*p1^2+5080320*p8*p1^2+24/7*(20202-168*n)*p7*p3*p2+24/5*(6660250-171780*n+
1380*n^2)*p5*p3*p2+72/7*(2348808-43750*n+126*n^2)*p7*p2*p1+8*(1727712-8064*n)*
p6*p3*p1-907200*p8*p4+9*(-15479040+361760*n-1440*n^2)*p4*p2*p1^2+6*(-34373376+
1148928*n-9504*n^2)*p3*p2^2*p1+4*(389760-1536*n)*p3*p2*p1^3+24*(11005205840-\
1068972068*n+32949088*n^2-417860*n^3+2168*n^4)*p3*p2*p1+72/5*(294825560-\
41673530/3*n+197730*n^2-2980/3*n^3)*p5*p2*p1+12*(303862800-11476140*n+93900*n^2
-240*n^3)*p4*p3*p1+18/5*(-246640+3360*n)*p5*p2^2*p1+36/5*(2364000-30100*n+100*n
^2)*p5*p4*p1-1872*p12*p2+144/35*(-336980+11375/2*n-35/2*n^2)*p7*p5+16/3*(-\
173070+1080*n)*p9*p3+36/5*(-233860+2640*n)*p10*p2+36/25*(38600-600*n)*p5^2*p2-\
1440*p9*p5+9/4*(6016000-76800*n)*p4^2*p2+2*(4711680-46080*n)*p4*p3^2+(-499392+
6912*n)*p3^2*p2^2+6*(-60352320+1495200*n-3360*n^2)*p6*p4+3*(5976768-112896*n)*
p6*p2^2+16*(-18437400+420210*n-1530*n^2)*p9*p1+9*(-49332336+1616400*n-12240*n^2
)*p8*p2+48/7*(-53904956+3170097/2*n-28161/2*n^2+42*n^3)*p7*p3+36*(78132778176-\
44286405392/3*n+2732625784/3*n^2-70594000/3*n^3+824168/3*n^4-1344*n^5)*p2*p1^2+
4*(602100516-30469008*n+493272*n^2-3168*n^3)*p3^2*p2+4*(-11409408+73728*n)*p3^2
*p1^2+3/2*(1554048-27648*n)*p2^3*p1^2+144/5*(-49510497400+19887669560/3*n-\
857658350/3*n^2+5083970*n^3-124990/3*n^4+430/3*n^5)*p5*p1+18*(-83540567232+
35243035960/3*n-542925320*n^2+30363200/3*n^3-65600*n^4)*p4*p2+18*(6579974400-\
573525120*n+13982000*n^2-105120*n^3+240*n^4)*p4*p1^2+8*(-563719392+26704800*n-\
200928*n^2+384*n^3)*p3*p1^3+9*(-993517056+66551328*n-1338528*n^2+8960*n^3)*p2^2
*p1^2+3*(33202688-924160*n+4608*n^2)*p2*p1^4+48*(-376759698208+101451936946*n-\
9163545923*n^2+360888156*n^3-6796325*n^4+64258*n^5-272*n^6)*p3*p1+144/7*(-\
1755293344+330468460/3*n-1958957*n^2+36554/3*n^3-21*n^4)*p7*p1+12*(-3538715988+
252168056*n-5390280*n^2+36064*n^3)*p6*p2+12*(128467584-4108608*n+17472*n^2)*p6*
p1^2+48/5*(-4199701350+581509345/2*n-12848525/2*n^2+65540*n^3-300*n^4)*p5*p3+24
/5*(-5499840+45280*n-160*n^2)*p5*p1^3+9/2*(577289920-28803840*n+334080*n^2)*p4*
p2^2+144*p7*p5*p2-451584*p6^2-1958706146304*n^4+319789948511232/35*n^3+1536*p5*
p2*p1^3+8640*p4*p2^2*p1^2+10368*p3*p2^3*p1-55273042944/5*n^6+203494099968*n^5-\
623605391142912/35*n^2+161280*p4*p1^4+34560*p14+1616984064/5*n^7-34541568/7*n^8
-73728*p1^6+221184/7*n^9+12*(2009280-32838*n+78*n^2)*p12+8*(-92759290704+
12931830597*n-596235375*n^2+11972142*n^3-121560*n^4+576*n^5)*p3^2+36*(
1209400890880-456276035928*n+176817977884/3*n^2-10229469400/3*n^3+288684740/3*n
^4-3940640/3*n^5+7040*n^6)*p4+18*(-508837565312+420667661440/3*n-13150248704*n^
2+1639782080/3*n^3-10611136*n^4+80640*n^5)*p2^2+6*(-8263255552+975427072*n-\
31551744*n^2+279040*n^3-768*n^4)*p1^4+72/25*(-69134100+2391050*n-30800*n^2+150*
n^3)*p5^2+3/8*(-64198656+1990656*n)*p2^4-9216*p2^2*p1^4+6*(-155760+960*n)*p4*p3
*p2*p1-1152*p7^2+72/5*(314394080-14292685*n+179245*n^2-660*n^3)*p10+24*(
262170068160-49956368601*n+3218822165*n^2-89657876*n^3+1130500*n^4-5488*n^5)*p6
+18*(15907731840-1545534684*n+47734404*n^2-579120*n^3+2520*n^4)*p8+3*(
16500539136-1744536960*n+58513536*n^2-649728*n^3)*p2^3+72*(-432615859200+
247399006112*n-138658655864/3*n^2+3764579904*n^3-444433112/3*n^4+2926544*n^5-\
87488/3*n^6+128*n^7)*p1^2+72*(982256486400-29290072245472/35*n+695088210488/3*n
^2-84394720208/3*n^3+5067620920/3*n^4-790220672/15*n^5+836544*n^6-38400/7*n^7)*
p2+9/2*(-4422857600+292806400*n-5209600*n^2+19200*n^3)*p4^2
[8, 6, 2, 2]
13824*p3*p2^2*p1^3-829440*p4*p2^2*p1^2+11520*p4*p2*p1^4-165888*p3*p2^3*p1+64/5*
(-246960+2940*n)*p6*p5*p1+96/7*(-166600+840*n)*p7*p4*p1+64/7*(-51471+252*n)*p7*
p3*p2-175102242324480*n+64/7*(8589-84*n)*p7*p3*p1^2+16*(-136728+864*n)*p8*p3*p1
-12288*p2*p1^6+32256*p6*p3*p2*p1+2048*p5*p1^5+2488320*p4*p2^3-2496*p12*p1^2+16*
(2793960-21600*n)*p4*p3*p2*p1+16/3*(-181800+1440*n)*p4*p3*p1^3+16/3*(-162864+
1728*n)*p3^2*p2*p1^2+64/5*(3943805-85680*n+600*n^2)*p5*p3*p1^2+48/5*(2559960-\
23040*n)*p5*p2^2*p1+32/5*(-200340+2520*n)*p5*p2*p1^3+64/3*(-46030866+1123164*n-\
6048*n^2)*p6*p3*p1+16*(2945376-44352*n)*p6*p2*p1^2+96/5*(-51855940+1277700*n-\
6900*n^2)*p5*p4*p1+64/5*(-36636615+494100*n-1980*n^2)*p5*p3*p2+192*(
2920118342400-182381878498576/105*n+1030571100080/3*n^2-151745705952/5*n^3+
3999859168/3*n^4-448755392/15*n^5+325376*n^6-47616/35*n^7)*p1^2+96/5*(-135410+
1320*n)*p10*p1^2+128/9*(1450845-5940*n)*p9*p3+21120*p9*p5+12*(1794240-8640*n)*
p8*p4-172032*p6*p3^2+13824*p7^2+384/35*(2419830-52115/2*n+35/2*n^2)*p7*p5+192/5
*(-3369976880+179457270*n-2513130*n^2+7080*n^3)*p5*p2*p1+32*(-4076801812+
220931076*n-3321660*n^2+13680*n^3)*p4*p3*p1+24*(362495472-14650560*n+135360*n^2
)*p4*p2*p1^2+16*(372664872-12022560*n+67392*n^2)*p3*p2^2*p1+32/3*(-30447504+
891864*n-6480*n^2)*p3*p2*p1^3+64*(-101376006074+10853924610*n-363956322*n^2+
4411488*n^3-14688*n^4)*p3*p2*p1+192/7*(-34486046+712320*n-924*n^2)*p7*p2*p1+384
/11*(1729728-24024*n)*p11*p1+96/5*(1126950-3960*n)*p10*p2+96/25*(-115500+900*n)
*p5^2*p2+96/25*(21700-300*n)*p5^2*p1^2+128/3*(309291840-11551320*n+100980*n^2)*
p9*p1+24*(330450840-8401536*n+25056*n^2)*p8*p2+24*(-32260584+933840*n-5904*n^2)
*p8*p1^2+128/7*(438732882-23420901/2*n+105945/2*n^2-42*n^3)*p7*p3+64/7*(2579430
-46158*n+126*n^2)*p7*p1^3+16*(508985736-13964160*n+70560*n^2)*p6*p4+8*(-\
29211840+338688*n)*p6*p2^2-329728*p6*p1^4+12*(-3777683328+152939520*n-1105920*n
^2)*p4*p2^2+4*(-25748800+717120*n-2880*n^2)*p4*p1^4+32/3*(-4266217494+175611132
*n-1488456*n^2+4320*n^3)*p3^2*p2+32/3*(416496354-18071340*n+234288*n^2-1152*n^3
)*p3^2*p1^2+16/15*(1338240-7680*n)*p3*p1^5+4*(-27454464+580608*n)*p2^3*p1^2+2*(
1738368-27648*n)*p2^2*p1^4+384/5*(425372787630-188281808678/3*n+9183416410/3*n^
2-182213920/3*n^3+1365560/3*n^4-584*n^5)*p5*p1+48*(612168830232-84203283264*n+
3600338064*n^2-54979200*n^3+218880*n^4)*p4*p2+48*(-77747198200+9041696680*n-\
346623656*n^2+5285440*n^3-27840*n^4)*p4*p1^2+64/3*(11432881938-1046155194*n+
30928482*n^2-360108*n^3+1632*n^4)*p3*p1^3+24*(12763617312-1062786816*n+26523072
*n^2-202752*n^3)*p2^2*p1^2+8*(-1250030432+84798240*n-1659552*n^2+9984*n^3)*p2*
p1^4+384/7*(19389202224-1497576542*n+35026026*n^2-261520*n^3+84*n^4)*p7*p1+32*(
26095144566-1711450104*n+29232000*n^2-104832*n^3)*p6*p2+32*(-2663578482+
164454192*n-3011064*n^2+16800*n^3)*p6*p1^2+128/5*(32809736025-4370421445/2*n+
78835085/2*n^2-193340*n^3+300*n^4)*p5*p3+64/5*(304280220-14274680*n+190000*n^2-\
860*n^3)*p5*p1^3+6*(-36979200+345600*n)*p4^2*p2+6*(3820800-57600*n)*p4^2*p1^2+
16/3*(-40475520+391680*n)*p4*p3^2+64/27*(3245184-41472*n)*p3^3*p1+8/3*(1371168-\
10368*n)*p3^2*p2^2+128*(2771040496248-3913933714744/5*n+374918811932/5*n^2-\
3138605856*n^3+60303332*n^4-2437256/5*n^5+5568/5*n^6)*p3*p1+96*(-660568699488+
705688785824/5*n-10310478656*n^2+328590912*n^3-4660064*n^4+120576/5*n^5)*p2*p1^
2-337920*p5*p4*p3-1920*p5*p4*p1^3+24576*p5*p3^2*p1+6912*p5*p3*p2^2+13824*p7*p2^
2*p1-1152*p7*p2*p1^3-483840*p6*p4*p2+80640*p6*p4*p1^2+192*p7*p5*p1^2+72576*p8*
p2*p1^2-2688*p7*p6*p1-576*p7*p5*p2-2027520*p9*p2*p1-3456*p8*p5*p1+51840*p5*p4*
p2*p1-2304*p5*p3*p2*p1^2-4502323200*n^7+1865023488/35*n^8-7077888/35*n^9+32*(-\
16707600+262158*n-78*n^2)*p12+96*(-8265546744000+9422340763840/3*n-\
1209973005200/3*n^2+67483892576/3*n^3-1714375696/3*n^4+6033536*n^5-16896*n^6)*
p4+16/3*(2533104-28224*n)*p6^2+12*(35024713920-2331568320*n+41356800*n^2-172800
*n^3)*p4^2+8*(-115217415360+10943213184*n-289972224*n^2+1990656*n^3)*p2^3+48*(
3549248660064-4879471562016/5*n+88527973920*n^2-3333133248*n^3+51390720*n^4-\
1188864/5*n^5)*p2^2+2096467185352704/7*n^2+16*(104345513568-18000000160*n+
1079126944*n^2-28369088*n^3+333056*n^4-1536*n^5)*p1^4+192/5*(-2526003480+
111659185*n-1149445*n^2+660*n^3)*p10+48*(-121828106400+11683960956*n-334233276*
n^2+3056928*n^3-3168*n^4)*p8+64*(-1897584048360+1806945527977/5*n-22608389425*n
^2+568431724*n^3-5353040*n^4+49728/5*n^5)*p6+(296110080-5971968*n)*p2^4+64/3*(
688481765208-95074912905*n+4100776623*n^2-64661598*n^3+315096*n^4-576*n^5)*p3^2
+192/25*(542407950-15979250*n+111800*n^2-150*n^3)*p5^2+8/15*(94686720-4016640*n
+23040*n^2)*p1^6+192*(-6385346553600+576504771023632/105*n-22911045576464/15*n^
2+2754976893824/15*n^3-31717150304/3*n^4+1476546048/5*n^5-18339072/5*n^6+497664
/35*n^7)*p2+24192*p8*p6+80640*p13*p1+7488*p12*p2-248832*p8*p2^2+42240*p9*p1^3-\
783360*p14+164964387864576/5*n^4-1079314905759744/7*n^3+173665222656*n^6-\
16836598726656/5*n^5
[8, 5, 4]
31332597760000/3*n-320*p7*p3*p1^2+28800*p8*p3*p1+3520*p10*p1^2+35840*p6*p3^2+
26880*p6*p4*p2-1920*p4*p3^2*p2+16000*p4^3-1600*p4^2*p3*p1-204800*p3^3*p1-46080*
p4*p2^3-53760*p6*p2*p1^2+80/21*(16044-126*n)*p7*p3*p2+8/3*(31800-360*n)*p5*p4*
p3+40/7*(8036-56*n)*p7*p4*p1+80/3*(9722937892-943108296*n+27719856*n^2-296878*n
^3+1320*n^4)*p3*p2*p1+16*(232237720-10138660*n+108420*n^2-360*n^3)*p5*p2*p1+40/
3*(306415124-14670204*n+180960*n^2-740*n^3)*p4*p3*p1+10*(-11798816+339040*n-\
2496*n^2)*p4*p2*p1^2+20/3*(-19603680+587376*n-5184*n^2)*p3*p2^2*p1+40/9*(343536
-6336*n)*p3*p2*p1^3+80/7*(1256836-21238*n+84*n^2)*p7*p2*p1+80/9*(2269008-34272*
n)*p6*p3*p1+8*(2568440-50600*n+240*n^2)*p5*p4*p1+16/3*(4721640-105660*n+540*n^2
)*p5*p3*p2+16/3*(-51960+360*n)*p5*p3*p1^2+160/11*(-48444+264*n)*p11*p1+8*(-\
105160+660*n)*p10*p2+160/27*(-267300+2970*n)*p9*p3+5*(-291360+2880*n)*p8*p4+32/
7*(-269920+3150*n)*p7*p5+160/7*(-1633155300+655888331/6*n-5904871/3*n^2+56161/6
*n^3-35/3*n^4)*p7*p1+40/3*(-2952090120+202253268*n-3682224*n^2+13776*n^3)*p6*p2
+40/3*(129454584-5347104*n+43008*n^2)*p6*p1^2+32/3*(-3852881980+278891135*n-\
5850285*n^2+40285*n^3-75*n^4)*p5*p3+16/3*(-6862600+168360*n-720*n^2)*p5*p1^3+5*
(401453952-17869056*n+170496*n^2)*p4*p2^2+5/3*(324224-5888*n)*p4*p1^4+40/9*(
509117304-26465076*n+399096*n^2-2088*n^3)*p3^2*p2+40/9*(-16016712+436752*n-1152
*n^2)*p3^2*p1^2+10/9*(-328320+5184*n)*p3^2*p2^2+10*(-35152800+1013040*n-4320*n^
2)*p8*p2+10*(674400-8640*n)*p8*p1^2+160/21*(-54910996+3737125/2*n-14490*n^2+35/
2*n^3)*p7*p3+80/21*(-18172+168*n)*p7*p1^3+20/3*(-59924760+1852704*n-8064*n^2)*
p6*p4+10/3*(2306304-24192*n)*p6*p2^2+5/2*(4915200-96000*n)*p4^2*p2+5/2*(-104320
+1280*n)*p4^2*p1^2+20/9*(7751112-194832*n+1152*n^2)*p4*p3^2+160/9*(-17821980+
490050*n-1980*n^2)*p9*p1+160*p7*p4*p3+32*(-45159785940+18533217715/3*n-\
805299865/3*n^2+13151405/3*n^3-75275/3*n^4+50*n^5)*p5*p1+20*(-73693562000+
10246800456*n-452450288*n^2+7362784*n^3-34112*n^4)*p4*p2+20*(6219152560-\
1758940136/3*n+48861520/3*n^2-448408/3*n^3+1424/3*n^4)*p4*p1^2+80/9*(-587388220
+36759200*n-592848*n^2+2080*n^3)*p3*p1^3+10*(-788034112+48102944*n-797376*n^2+
4608*n^3)*p2^2*p1^2+10/3*(31832896-1234816*n+12288*n^2)*p2*p1^4+160/3*(-\
340785670896+553676992835/6*n-25098297014/3*n^2+1941677869/6*n^3-5543280*n^4+
40610*n^5-400/3*n^6)*p3*p1+40*(70985355264-40540086196/3*n+2494560968/3*n^2-\
61225100/3*n^3+603496/3*n^4-832*n^5)*p2*p1^2-501760*p6^2+14720/3*p4*p3*p1^3+
38400*p14-10240/3*p3*p1^5+40/3*(1921920-32760*n)*p12-31375360/9*n^8+834129920/3
*n^7+16/5*(-61969600+1953000*n-12600*n^2)*p5^2+16*(288288000-40979125/3*n+
146300*n^2-275/3*n^3)*p10+80/9*(-83647687792+11846065009*n-547034166*n^2+
10137959*n^3-77742*n^4+240*n^5)*p3^2+20*(14341367040-1419421940*n+42535320*n^2-\
409900*n^3+600*n^4)*p8+5*(-4065459680+289064320*n-5661440*n^2+26560*n^3)*p4^2+2
/9*(-1192960+30720*n)*p1^6-1280*p7^2-17486703416320/9*n^4+245997647897600/27*n^
3+3840*p3^2*p2*p1^2-93688852480/9*n^6+1790902461440/9*n^5+92160*p2^3*p1^2+20*(-\
455040675648+124133594576*n-11299942080*n^2+433438416*n^3-6978368*n^4+36096*n^5
)*p2^2+5/12*(-21012480+331776*n)*p2^4+80*(884205020160-2257365707996/3*n+
622737306328/3*n^2-74771624404/3*n^3+1448384872*n^4-124403552/3*n^5+1626176/3*n
^6-7168/3*n^7)*p2+10/3*(13173476736-1259789760*n+34483968*n^2-260352*n^3)*p2^3+
80/3*(235752797280-45104174843*n+2880472560*n^2-75203149*n^3+751212*n^4-1680*n^
5)*p6+80*(-390342758400+671042025820/3*n-377150383664/9*n^2+30688679692/9*n^3-\
1182443936/9*n^4+21504496/9*n^5-174848/9*n^6+640/9*n^7)*p1^2+40*(1088457027840-\
410337441326*n+158231867332/3*n^2-8955797902/3*n^3+235106996/3*n^4-2644640/3*n^
5+2944*n^6)*p4+20/3*(-7964634816+3092374144/3*n-122246656/3*n^2+1715072/3*n^3-\
7424/3*n^4)*p1^4+409600/27*n^9+20/3*(-149232+2448*n)*p4*p3*p2*p1-1920*p11*p3-\
1760*p10*p4-53403330196480/3*n^2
[8, 5, 3, 2]
-175297167360000*n+4915200*p3^3*p1+47520*p8*p2*p1^2+73920*p6*p3*p2*p1+48000*p4^
2*p3*p1-1382400*p8*p3*p1+240*p7*p4*p2*p1+15/4*(-310976+4992*n)*p4*p2^2*p1^2+6*(
5750120-136200*n+720*n^2)*p5*p2^2*p1+4*(-113520+720*n)*p5*p2*p1^3+12*(-67991700
+1686800*n-14120*n^2+60*n^3)*p5*p4*p1+8*(-88959660+1979400*n-9720*n^2)*p5*p3*p2
+8*(2537280-8640*n)*p5*p3*p1^2+120/7*(-54514824+4683112/3*n-12782*n^2+98/3*n^3)
*p7*p2*p1+40/3*(-55610142+1088892*n-4032*n^2)*p6*p3*p1+10*(3195696-53760*n)*p6*
p2*p1^2+40/3*(-211140+2520*n)*p9*p2*p1+40*(-153484807848+50129276086/3*n-\
603112925*n^2+28683746/3*n^3-76041*n^4+254*n^5)*p3*p2*p1+10*(635662076-27556416
*n+378096*n^2-1824*n^3)*p3*p2^2*p1+20/3*(-25691784+579648*n-1584*n^2)*p3*p2*p1^
3+80/3*(405577350-14197560*n+137250*n^2-570*n^3)*p9*p1+20*(-5647750314+
295656754*n-4594394*n^2+32332*n^3-96*n^4)*p4*p3*p1+15*(438767568-55810672/3*n+
246000*n^2-3296/3*n^3)*p4*p2*p1^2+24*(-5035713540+860970460/3*n-5314560*n^2+
130880/3*n^3-140*n^4)*p5*p2*p1-71680*p6*p1^4+5/3*(-315360+5184*n)*p3*p2^3*p1+
240/7*(27775625010-25079511919/12*n+1178080967/24*n^2-958321/2*n^3+54313/24*n^4
-35/12*n^5)*p7*p1+20*(45899064120-3425873920*n+78723064*n^2-667352*n^3+1568*n^4
)*p6*p2+20*(-3052831824+163088296*n-2440872*n^2+12320*n^3)*p6*p1^2+16*(
55222563060-3949265135*n+82729455*n^2-629680*n^3+1920*n^4)*p5*p3+8*(256372200-\
8501580*n+51600*n^2-180*n^3)*p5*p1^3+15/2*(-7680560976+427034208*n-7146112*n^2+
37120*n^3)*p4*p2^2+5/2*(-16177920+319424*n-1472*n^2)*p4*p1^4+20/3*(-8044086024+
411575520*n-5988816*n^2+29568*n^3)*p3^2*p2+20/3*(414859968-12811392*n+52992*n^2
)*p3^2*p1^2+10/3*(-88339488+1472832*n-6912*n^2)*p4*p3^2+5/4*(7130880-124416*n)*
p4*p2^3+5/3*(6192000-82944*n)*p3^2*p2^2+15/4*(-103418688+2586880*n-14080*n^2)*
p4^2*p2+15/4*(3975360-69440*n+320*n^2)*p4^2*p1^2+15*(682522848-23850816*n+
206352*n^2-336*n^3)*p8*p2+15*(-28825920+583344*n-1584*n^2)*p8*p1^2+80/7*(
793152864-23529107*n+148827*n^2-280*n^3)*p7*p3+40/7*(1400616-9114*n+42*n^2)*p7*
p1^3+10*(933317616-29266104*n+212856*n^2-672*n^3)*p6*p4+5*(-82587120+2052960*n-\
8064*n^2)*p6*p2^2+43680*p12*p2+60/7*(-277746+3038*n-14*n^2)*p7*p4*p1+40/7*(-\
258804+1344*n)*p7*p3*p2+50400*p13*p1+30/7*(15596-168*n)*p7*p2^2*p1+8*(-212100+
1260*n)*p6*p5*p1+5*(-383712+2688*n)*p6*p4*p2+4*(-276960+1440*n)*p5*p4*p3+30*(-\
104646344880+34145296780/3*n-1210673314/3*n^2+6023544*n^3-130454/3*n^4+356/3*n^
5)*p4*p1^2+40/3*(12728201688-984422258*n+22028598*n^2-150436*n^3+288*n^4)*p3*p1
^3+15*(17447490912-4420104448/3*n+42395552*n^2-1637216/3*n^3+2816*n^4)*p2^2*p1^
2+5*(-1168334592+200353696/3*n-1075424*n^2+16640/3*n^3)*p2*p1^4-325120*p4*p3*p1
^3+80*(4331329369056-14731667047363/12*n+950481660597/8*n^2-20524571699/4*n^3+
2617114805/24*n^4-3661277/3*n^5+44971/6*n^6-20*n^7)*p3*p1+60*(-984954487296+
3089299208194/15*n-132789518287/9*n^2+1429734412/3*n^3-70484257/9*n^4+350422/5*
n^5-2512/9*n^6)*p2*p1^2+5/2*(-44342880+1562688*n-13824*n^2)*p2^3*p1^2+5/4*(
1385216-24576*n)*p2^2*p1^4+48*(644130880800-567415180805/6*n+55648981195/12*n^2
-392548265/4*n^3+12222455/12*n^4-67475/12*n^5+25/2*n^6)*p5*p1+30*(1005737583024
-2203845713504/15*n+7129081312*n^2-440335384/3*n^3+1354520*n^4-70256/15*n^5)*p4
*p2+80/9*(3106620-17280*n)*p9*p3+7360*p4*p2*p1^4+15/2*(4420080-40464*n+144*n^2)
*p8*p4+15/4*(-243360+1728*n)*p8*p2^2+4800*p9*p1^3+48/7*(4510800-42105*n+105*n^2
)*p7*p5-476160*p3^2*p2*p1^2+12/5*(-346800+3600*n)*p5^2*p2+28800*p4^2*p2^2-\
322560*p6*p3^2+240/11*(2001054-24882*n+66*n^2)*p11*p1+12*(3338280-42240*n)*p10*
p2-2400*p4^2*p2*p1^2-1680*p7*p6*p1-1440*p7*p5*p2-2160*p8*p4*p2-2400*p9*p4*p1-\
2880*p11*p2*p1-288000*p4^3+5760*p3*p2^2*p1^3+368640*p3*p1^5-5120*p2*p1^6+14400*
p9*p5+26880*p4*p3^2*p2-960*p7*p4*p3+11520*p11*p3+11520*p7*p3*p1^2+6*(25520-240*
n)*p5*p4*p2*p1+31680*p10*p4+10*(5792168-116928*n+528*n^2)*p4*p3*p2*p1+15120*p8*
p6-480*p7*p2*p1^3-887040*p10*p1^2-2880*p4*p3*p2^2*p1+43680*p6*p4*p1^2+17280*p7^
2+17280*p5*p3*p2^2+34065735554432*n^4-468761460731008/3*n^3-979200*p14+10/3*(
4452336-28224*n)*p6^2+30*(-200969408640+20374461774*n-652034523*n^2+8041308*n^3
-37869*n^4+30*n^5)*p8+15/2*(59133293040-4274139792*n+92164112*n^2-743040*n^3+
2560*n^4)*p4^2+1/3*(55296000-1666560*n+7680*n^2)*p1^6+60*(-13209298851840+
15322869059321/3*n-20361770791997/30*n^2+202482824322/5*n^3-7113273271/6*n^4+
17460883*n^5-1879864/15*n^6+5024/15*n^7)*p4+10240/3*n^10-907264*n^9+24*(-\
4369965600+209223190*n-2626470*n^2+9680*n^3)*p10+24/5*(967239000-30259500*n+
238800*n^2-900*n^3)*p5^2+120*(4618396016640-2739524990298*n+24294543202093/45*n
^2-2139975508838/45*n^3+6308911081/3*n^4-446655688/9*n^5+3288588/5*n^6-226112/
45*n^7+160/9*n^8)*p1^2+602090995840/3*n^6-10829787925888/3*n^5+30*(
5702511771264-4852840528336/3*n+2348717076232/15*n^2-20340433120/3*n^3+
432963512/3*n^4-4587184/3*n^5+98368/15*n^6)*p2^2+5/8*(838540800-34421760*n+
331776*n^2)*p2^4+40*(-3057374960640+3010025081147/5*n-80300703077/2*n^2+
1155200088*n^3-30400671/2*n^4+440083/5*n^5-140*n^6)*p6+40/3*(1118657166048-\
161525264350*n+7608043002*n^2-146773964*n^3+1233552*n^4-4320*n^5)*p3^2+5*(-\
202849812000+22285606848*n-816094848*n^2+12474240*n^3-69120*n^4)*p2^3+120*(-\
10204512675840+44188961707266/5*n-112476702343177/45*n^2+13995280805924/45*n^3-\
863730378287/45*n^4+27963977786/45*n^5-485693288/45*n^6+4420016/45*n^7-16768/45
*n^8)*p2+10*(132851998080-61454075680/3*n+3142197952/3*n^2-22032320*n^3+570080/
3*n^4-1856/3*n^5)*p1^4+20*(-31187520+525252*n-1092*n^2)*p12+305065984/3*n^8-\
18245197312/3*n^7+300900465306880*n^2
[8, 5, 2, 2, 2]
3114773053440000*n-261120*p4*p3^2*p2+144000*p4^2*p2*p1^2+29440/3*p4*p1^6+61440*
p4*p3^2*p1^2+34560*p4*p3*p2^2*p1-532480*p3^2*p1^4+7680*p3*p2*p1^5+96*(336487180
-9571500*n+59360*n^2-60*n^3)*p5*p4*p1+64*(216010490-3846360*n+12600*n^2)*p5*p3*
p2+64*(-31849870+710280*n-3240*n^2)*p5*p3*p1^2+960/7*(231148736-12358507/2*n+
29848*n^2-77/2*n^3)*p7*p2*p1+30*(248123232-4915200*n+19200*n^2)*p4^2*p2+30*(-\
37255584+939200*n-5440*n^2)*p4^2*p1^2+320/3*(284525808-7276416*n+30240*n^2)*p6*
p3*p1+80*(-26227152+574728*n-2016*n^2)*p6*p2*p1^2+640/3*(-1791505980+147805185/
2*n-732600*n^2+1815/2*n^3)*p9*p1+120*(-1795977552+54960084*n-331200*n^2+396*n^3
)*p8*p2+120*(238086384-8238252*n+66312*n^2-60*n^3)*p8*p1^2+640/7*(-2246136900+
190601936/3*n-284767*n^2+805/3*n^3)*p7*p3+320/7*(-27788040+4422103/6*n-3871*n^2
+35/6*n^3)*p7*p1^3+80*(-2661353184+80580360*n-466872*n^2+672*n^3)*p6*p4+40*(
187209792-3666096*n+12096*n^2)*p6*p2^2+40/3*(2690016-43008*n)*p6*p1^4+16/5*(-\
211600+1200*n)*p5*p1^5+192*(18417126200-1118043425*n+19553455*n^2-105055*n^3+
165*n^4)*p5*p2*p1+160/3*(21288196852-981817224*n+10811280*n^2-34896*n^3)*p3^2*
p2+80/3*(231810800-3262944*n+6144*n^2)*p4*p3^2+10*(-12434688+186624*n)*p4*p2^3+
320/27*(-20079360+207360*n)*p3^3*p1+40/3*(-9362880+110592*n)*p3^2*p2^2+40/3*(
570240-7776*n)*p3*p2^3*p1+40/3*(-68544+864*n)*p3*p2^2*p1^3+10*(-197824+2496*n)*
p4*p2*p1^4+1920/7*(-96096074340+16149443541/2*n-840549661/4*n^2+22779631/12*n^3
-16163/4*n^4+35/12*n^5)*p7*p1+160*(-122846008740+8768684526*n-176129352*n^2+
1071714*n^3-1848*n^4)*p6*p2+80/3*(1472544-15552*n)*p3^2*p2*p1^2+80/3*(2913980-\
50424*n+192*n^2)*p4*p3*p1^3+30*(1871808-28224*n)*p4*p2^2*p1^2+48*(-20613360+
356040*n-1080*n^2)*p5*p2^2*p1+32*(2546240-44580*n+180*n^2)*p5*p2*p1^3+160*(
15464120028-1087411290*n+23454116*n^2-171402*n^3+280*n^4)*p6*p1^2+128*(-\
151427024910+31947273935/3*n-204893985*n^2+3333910/3*n^3-1870*n^4)*p5*p3+16*(
16120-120*n)*p5*p4*p1^3+10*(-23550848+670656*n-4608*n^2)*p2^2*p1^4+4/3*(1965760
-30720*n)*p2*p1^6+384*(-1858690171140+584028617487/2*n-30935290965/2*n^2+
2071467905/6*n^3-3242665*n^4+31997/3*n^5-25/2*n^6)*p5*p1+240*(-2599620136816+
1883711251682/5*n-17439858608*n^2+312856054*n^3-2116576*n^4+26768/5*n^5)*p4*p2+
320/3*(847440-5940*n)*p9*p2*p1+16/3*(-25825400+720240*n-1920*n^2)*p3*p1^5+80*(
971280-4320*n)*p8*p3*p1+60*(-75744+432*n)*p8*p2*p1^2+480/7*(1548820-13146*n+14*
n^2)*p7*p4*p1+320/7*(372722-1680*n)*p7*p3*p2+320/7*(-87934+420*n)*p7*p3*p1^2+
240/7*(-26544+252*n)*p7*p2^2*p1+160/7*(4676-42*n)*p7*p2*p1^3+64*(1702680-15120*
n)*p6*p5*p1+40*(740880-4032*n)*p6*p4*p2+320*(472172668412-330283013581/6*n+
2084225601*n^2-186465167/6*n^3+173299*n^4-294*n^5)*p3*p2*p1+160/3*(-2657744684+
129291072*n-1713552*n^2+6720*n^3)*p3^2*p1^2+80*(-2308467104+93486324*n-944280*n
^2+2520*n^3)*p3*p2^2*p1+160/3*(267504460-10367190*n+103884*n^2-348*n^3)*p3*p2*
p1^3+160*(21735096340-3896681470/3*n+21988082*n^2-330428/3*n^3+96*n^4)*p4*p3*p1
+64*(-2213892660+383431895/3*n-2175495*n^2+36355/3*n^3-25*n^4)*p5*p1^3+120*(-\
2450528208+124220720*n-1799120*n^2+8024*n^3)*p4*p2*p1^2+60*(19647795840-\
962948688*n+12483840*n^2-50496*n^3)*p4*p2^2+20*(272617696-36756304/3*n+144800*n
^2-1424/3*n^3)*p4*p1^4+320/3*(-63380895300+39898037819/6*n-233194812*n^2+
19851619/6*n^3-18605*n^4+40*n^5)*p3*p1^3+120*(-68732648448+6619746408*n-\
207752128*n^2+2558360*n^3-11712*n^4)*p2^2*p1^2+40*(-166320+1344*n)*p6*p4*p1^2+
40*(8613993536-2214954824/3*n+20365392*n^2-635080/3*n^3+832*n^4)*p2*p1^4+20*(
227392128-7590240*n+62208*n^2)*p2^3*p1^2+32*(683920-1200*n)*p5*p4*p3+320/9*(-\
120780+990*n)*p9*p1^3+60*(-12233760+93744*n-144*n^2)*p8*p4+30*(397440-2592*n)*
p8*p2^2+384/7*(-13789860+118545*n-105*n^2)*p7*p5+74880*p8*p1^4-640*p7*p1^5-3200
*p4^2*p1^4-345600*p4^2*p2^2+640*(-11025269240400+6502589439659/2*n-\
11872229010685/36*n^2+179316326317/12*n^3-11667937057/36*n^4+39530345/12*n^5-\
252317/18*n^6+20*n^7)*p3*p1+480*(2790637527168-3190883830292/5*n+767443736978/
15*n^2-5592816586/3*n^3+98742526/3*n^4-4105354/15*n^5+14192/15*n^6)*p2*p1^2+240
*(375303502352-240194366534/5*n+2088835904*n^2-114786494/3*n^3+293076*n^4-11828
/15*n^5)*p4*p1^2+96/5*(865800-5400*n)*p5^2*p2+96/5*(-187800+1800*n)*p5^2*p1^2+
4874240*p6*p3^2+1920/11*(-11892540+180774*n-66*n^2)*p11*p1+96*(-7650500+68640*n
)*p10*p2+96*(1341340-17160*n)*p10*p1^2+640/9*(-8415990+39600*n)*p9*p3+4992000*
p4^3+53760*p7*p6*p1+17280*p7*p5*p2-5760*p7*p5*p1^2+6400*p7*p4*p3+320*p7*p4*p1^3
+34560*p11*p2*p1+105600*p9*p4*p1+103680*p8*p5*p1+25920*p8*p4*p2-8640*p8*p4*p1^2
-20480/3*p1^8-524160*p12*p2-3225600*p13*p1+71680*p6*p3*p1^3-3840*p4*p3*p2*p1^3-\
3840*p11*p1^3-549120*p10*p4+80*(-22812052+362424*n-720*n^2)*p4*p3*p2*p1-76800*
p11*p3+174720*p12*p1^2+48*(-90120+360*n)*p5*p4*p2*p1+69120*p5*p3*p2*p1^2-\
1290240*p6*p3*p2*p1-633600*p9*p5-483840*p8*p6-2880*p7*p4*p2*p1-737280*p5*p3^2*
p1-1753600*p4^2*p3*p1-207360*p5*p3*p2^2-1836536875368448/3*n^4+
25209541055690752/9*n^3-16093970820075520/3*n^2+193138856402944/3*n^5-\
3472964935680*n^6+23500800*p14+192*(12313501200-1734452720/3*n+6390670*n^2-\
32890/3*n^3)*p10+97443366912*n^7-4135964672/3*n^8+80*(-491056986816+
471376196744/5*n-58645512832/9*n^2+623839864/3*n^3-28916176/9*n^4+345088/15*n^5
-640/9*n^6)*p1^4+960*(-10914099356160+33465642328188/5*n-20724119822558/15*n^2+
5832484132414/45*n^3-55873050890/9*n^4+7154771398/45*n^5-97827556/45*n^6+678256
/45*n^7-416/9*n^8)*p1^2+960*(23373079027200-306636252934772/15*n+29136403258642
/5*n^2-724341147842*n^3+655960101034/15*n^4-6618254906/5*n^5+294356464/15*n^6-\
400784/3*n^7+6016/15*n^8)*p2+192/5*(-2787206100+85975500*n-548400*n^2+900*n^3)*
p5^2+240*(538657479360-54277082284*n+1658607198*n^2-17193518*n^3+45594*n^4-30*n
^5)*p8+40*(522065937408-54439638912*n+1744255872*n^2-20757024*n^3+93312*n^4)*p2
^3+5*(-1842186240+60507648*n-497664*n^2)*p2^4+60*(-162292734880+11536914352*n-\
228480272*n^2+1345280*n^3-2560*n^4)*p4^2+8/3*(-989590080+211141120/3*n-1406720*
n^2+18560/3*n^3)*p1^6+240*(-13972148020800+3987019229208*n-1903998756656/5*n^2+
15588854648*n^3-287149456*n^4+2304496*n^5-39104/5*n^6)*p2^2+480*(31686190623360
-12370780474330*n+24688821640741/15*n^2-1445220142681/15*n^3+7927661087/3*n^4-\
32908359*n^5+2500264/15*n^6-5024/15*n^7)*p4+320/3*(-2907750408720+1258864996192
/3*n-19141737718*n^2+985848374/3*n^3-1956844*n^4+4160*n^5)*p3^2-81920/3*n^10+
82731008/9*n^9+320*(7746490992240-7659778025578/5*n+100680992839*n^2-2724749699
*n^3+29977563*n^4-563437/5*n^5+140*n^6)*p6+160*(91334880-1486212*n+1092*n^2)*
p12+80/3*(-13970880+112896*n)*p6^2-230400*p7^2
[8, 4, 4, 2]
-525779805667328/3*n+17920*p6*p4*p1^2+4608*p7*p2^2*p1+107520*p6*p3*p2*p1-41472*
p8*p2^2-1013760*p9*p2*p1-645120*p6*p4*p2+61440*p4*p3^2*p2+76800*p4^2*p3*p1-\
256000*p4^3+16384*p3^4+1290240*p4*p2^3+256/21*(-138558+504*n)*p7*p3*p2+128/15*(
-274200+1800*n)*p5*p4*p3+256/45*(26010-270*n)*p5*p3^2*p1+256/21*(7350-84*n)*p7*
p3*p1^2+256/15*(-95970+630*n)*p6*p5*p1+64/3*(-180288+2592*n)*p8*p3*p1+128/7*(-\
110880+700*n)*p7*p4*p1+256/5*(-2124465210+113791610*n-1558380*n^2+2880*n^3)*p5*
p2*p1+128/3*(-2888846232+178248508*n-3339960*n^2+19200*n^3)*p4*p3*p1+32*(
171212880-7043520*n+69120*n^2)*p4*p2*p1^2+64/3*(226732248-8891280*n+86400*n^2)*
p3*p2^2*p1+128/9*(-11283168+427824*n-4320*n^2)*p3*p2*p1^3+256/3*(-71006160567+
7792987964*n-275649996*n^2+3760512*n^3-16800*n^4)*p3*p2*p1+256/7*(-18068883+
403718*n-672*n^2)*p7*p2*p1+256/9*(-35770413+1179486*n-9072*n^2)*p6*p3*p1+64/3*(
787080-12096*n)*p6*p2*p1^2+128/5*(-32301600+836200*n-3000*n^2)*p5*p4*p1+256/15*
(-38763300+801900*n-2160*n^2)*p5*p3*p2+256/15*(2185620-60420*n+360*n^2)*p5*p3*
p1^2+64/5*(691920-2160*n)*p5*p2^2*p1+64/9*(-83760+1440*n)*p4*p3*p1^3+64/9*(-\
179208+3456*n)*p3^2*p2*p1^2+128/5*(831380-2640*n)*p10*p2+128/5*(-36740+440*n)*
p10*p1^2+512/27*(2634390-35640*n)*p9*p3+16*(2149440-18720*n)*p8*p4+512/35*(
2055690-13440*n)*p7*p5+28160*p10*p4+512/11*(990132-15444*n)*p11*p1+128/27*(-\
404460+3024*n)*p6*p3^2+256/81*(6160401-190674*n+1296*n^2)*p3^3*p1+32/9*(3106944
-41472*n)*p3^2*p2^2+512/9*(197659440-7814070*n+71280*n^2)*p9*p1+32*(259522248-\
7186896*n+20736*n^2)*p8*p2+32*(-14341224+445152*n-3168*n^2)*p8*p1^2+512/21*(
434919366-16093756*n+127932*n^2-56*n^3)*p7*p3+256/21*(629559-14364*n+84*n^2)*p7
*p1^3+64/3*(450289308-14523600*n+73920*n^2)*p6*p4+32/3*(-18367776+169344*n)*p6*
p2^2-1792*p7*p6*p1-2560*p7*p4*p3+256*p7*p3^2*p1-5632*p10*p3*p1+512/3*(
2040056665452-8725945093582/15*n+850038065158/15*n^2-7294821628/3*n^3+145244452
/3*n^4-2095576/5*n^5+5824/5*n^6)*p3*p1+128*(-465213069648+294134646224/3*n-\
7045876048*n^2+662043328/3*n^3-3099680*n^4+16128*n^5)*p2*p1^2+64*(462491810932-\
66482047144*n+3013251264*n^2-48896000*n^3+203520*n^4)*p4*p2+64*(-50612763076+
17486030224/3*n-224493712*n^2+10565120/3*n^3-19520*n^4)*p4*p1^2+256/9*(
6464076651-591946402*n+18804300*n^2-257480*n^3+1344*n^4)*p3*p1^3+32*(7372760400
-583984800*n+14012928*n^2-104448*n^3)*p2^2*p1^2+32/3*(-515365968+32897216*n-\
666048*n^2+4608*n^3)*p2*p1^4+512/5*(305268384495-137226215270/3*n+6825671960/3*
n^2-137035300/3*n^3+1003720/3*n^4-280*n^5)*p5*p1+512/7*(13315595916-3175740638/
3*n+76474874/3*n^2-580888/3*n^3+196/3*n^4)*p7*p1+128/3*(20079773952-1411880568*
n+25478880*n^2-80640*n^3)*p6*p2+128/3*(-1503190752+93458680*n-1765008*n^2+10304
*n^3)*p6*p1^2+512/15*(26645047020-2022488320*n+43848000*n^2-268040*n^3+240*n^4)
*p5*p3+256/15*(127368090-6022470*n+84720*n^2-360*n^3)*p5*p1^3+16*(-2807156256+
122676480*n-1013760*n^2)*p4*p2^2+16/3*(-6955680+231040*n-1920*n^2)*p4*p1^4+128/
9*(-3763591044+207629064*n-3174048*n^2+12672*n^3)*p3^2*p2+128/9*(263517492-\
14578992*n+262800*n^2-1536*n^3)*p3^2*p1^2+64/45*(303360-7680*n)*p3*p1^5+16/3*(-\
6284736+96768*n)*p2^3*p1^2+8*(-34732800+576000*n)*p4^2*p2+8*(1632000-28800*n)*
p4^2*p1^2+64/9*(-70408812+2087280*n-11520*n^2)*p4*p3^2-2560*p4*p3^2*p1^2-3072*
p3^3*p2*p1-1044480*p14+8192/3*p3^2*p1^4-202752*p3*p2^3*p1+256/5*(-2076754680+
306000200/3*n-1099560*n^2+880/3*n^3)*p10-158486537961472/45*n^5+2806860611584/
15*n^6+4/3*(158063616-2322432*n)*p2^4+256/25*(457291800-13813800*n+50400*n^2)*
p5^2+49152*p2^2*p1^4-75227201536/15*n^7+2733113344/45*n^8+13527852139347968/45*
n^2-30408704/135*n^9+16128*p8*p6+79872*p11*p3+18432*p7^2+168872901935104/5*n^4-\
21032166770999296/135*n^3-57344/3*p6*p1^4-46080*p4*p2^2*p1^2+256*(-\
4784290660800+62080339530032/15*n-5830431626608/5*n^2+716634973888/5*n^3-\
25537317280/3*n^4+3695507968/15*n^5-47055616/15*n^6+59392/5*n^7)*p2+64/9*(
2226168-14112*n)*p6^2+128/3*(-15222480+262080*n)*p12+256*(2170378929600-\
19352326114736/15*n+11479041209104/45*n^2-337546004192/15*n^3+8848424288/9*n^4-\
327360064/15*n^5+10590976/45*n^6-14848/15*n^7)*p1^2+32/3*(-85034190912+
8297753472*n-223478784*n^2+1474560*n^3)*p2^3+128*(-6191838787680+2392237832312*
n-948216675032/3*n^2+55122511328/3*n^3-1470912496/3*n^4+16152448/3*n^5-14848*n^
6)*p4+32/45*(24433920-1152000*n+15360*n^2)*p1^6+256/3*(-1432080609960+
1414134960336/5*n-18642035664*n^2+497072240*n^3-4823280*n^4+37184/5*n^5)*p6+64*
(-94334079840+9688676272*n-299079888*n^2+2828864*n^3-2208*n^4)*p8+16*(
27923979520-2066486560*n+41952000*n^2-204800*n^3)*p4^2+256/9*(527113567044-\
388478941264/5*n+3740929320*n^2-71213920*n^3+504288*n^4-5376/5*n^5)*p3^2-2304*
p8*p3^2+53760*p13*p1+64*(2656262901168-3727973398752/5*n+69771862656*n^2-\
2725091328*n^3+43179264*n^4-979968/5*n^5)*p2^2+64/3*(65164831344-32027420384/3*
n+1845962432/3*n^2-48501376/3*n^3+607744/3*n^4-1024*n^5)*p1^4+64/3*(2580480-\
50400*n)*p4*p3*p2*p1
[8, 4, 3, 3]
-175492092395520*n+1728*p7*p3*p1^2+64512*p6*p3*p2*p1+48384*p6*p2^3+34560*p5*p4*
p2*p1+28800*p4^2*p2^2+14400*p4^2*p3*p1-570240*p8*p3*p1-2880*p4*p3*p2^2*p1-19008
*p10*p1^2+109440*p4*p3^2*p2-2499840*p6*p4*p2-387072*p6*p5*p1-838656*p6*p3^2-\
3456*p3^2*p2^3-144000*p4^3+4055040*p3^3*p1+72/7*(5460-56*n)*p7*p2^2*p1+32*(-\
52380+360*n)*p9*p2*p1+144/7*(-26250+140*n)*p7*p4*p1+96/7*(-322434+4137*n-21*n^2
)*p7*p3*p2+288/7*(-18812514+489125*n-3731*n^2+14*n^3)*p7*p2*p1+24/5*(43320-360*
n)*p5*p3*p2^2+48/5*(-194700+900*n)*p5*p4*p3+288/5*(-1890735960+107697390*n-\
2090240*n^2+18250*n^3-60*n^4)*p5*p2*p1+48*(-1941410130+93290710*n-1353585*n^2+
9250*n^3-15*n^4)*p4*p3*p1+36*(110959440-3863440*n+41360*n^2-160*n^3)*p4*p2*p1^2
+24*(275365860-13360840*n+226296*n^2-1504*n^3)*p3*p2^2*p1+16*(-3945960+82464*n-\
192*n^2)*p3*p2*p1^3+96*(-60265473642+6649852274*n-508338565/2*n^2+4672849*n^3-\
93765/2*n^4+214*n^5)*p3*p2*p1+9*(-41920+640*n)*p4*p2^2*p1^2+4*(-279792+5184*n)*
p3*p2^3*p1+24*(493248-5376*n)*p6*p2*p1^2+144/5*(-16922700+271700*n-1200*n^2)*p5
*p4*p1+96/5*(-60223020+2008410*n-22440*n^2+90*n^3)*p5*p3*p2+96/5*(285300-540*n)
*p5*p3*p1^2+72/5*(2512440-54200*n+240*n^2)*p5*p2^2*p1+32*(-15402744+232848*n-\
1008*n^2)*p6*p3*p1+576/11*(362934-1716*n)*p11*p1+9*(-297120+2880*n)*p8*p2^2+
104832*p12*p2+576/35*(2441880-28665*n+105*n^2)*p7*p5+144/5*(2308460-35750*n+110
*n^2)*p10*p2+64/3*(1963710-23355*n+135*n^2)*p9*p3+18*(1851600-7200*n)*p8*p4+
34560*p9*p5-3168*p10*p2^2+15840*p10*p4+144/25*(-346800+3600*n)*p5^2*p2+44928*
p11*p3+72*(-35381988520+10418063300/3*n-319999070/3*n^2+4095760/3*n^3-26050/3*n
^4+20*n^5)*p4*p1^2+32*(3271235418-198261072*n+3375456*n^2-21264*n^3+24*n^4)*p3*
p1^3+36*(5959690048-1459970768/3*n+42104240/3*n^2-566368/3*n^3+3328/3*n^4)*p2^2
*p1^2+18*(-3939630320+755868640/3*n-5002880*n^2+93440/3*n^3)*p4*p2^2+6*(-722880
+10880*n)*p4*p1^4+16*(-4094124804+261925758*n-6084384*n^2+69816*n^3-342*n^4)*p3
^2*p2+16*(93656556-2314008*n+10944*n^2)*p3^2*p1^2+6*(-14582688+487104*n-4608*n^
2)*p2^3*p1^2+3*(101376-2048*n)*p2^2*p1^4+576/7*(10073688282-2867685653/4*n+
126858711/8*n^2-153853*n^3+5929/8*n^4-7/4*n^5)*p7*p1+48*(20975126508-1724507638
*n+46879938*n^2-530768*n^3+2268*n^4)*p6*p2+48*(-788251380+32172336*n-335328*n^2
+1344*n^3)*p6*p1^2+192/5*(24433478010-3816586395/2*n+198303555/4*n^2-2475285/4*
n^3+16485/4*n^4-45/4*n^5)*p5*p3+96/5*(36037260-667260*n+2040*n^2)*p5*p1^3+9*(-\
54784000+1232000*n-3200*n^2)*p4^2*p2+9*(286400-3200*n)*p4^2*p1^2+8*(-49744500+
1166760*n-8640*n^2)*p4*p3^2+3*(6654720-115200*n)*p4*p2^3+4*(7959048-238320*n+
2016*n^2)*p3^2*p2^2+64*(122395590-3448575*n+26145*n^2-90*n^3)*p9*p1+36*(
360976944-14799720*n+178680*n^2-720*n^3)*p8*p2+36*(-4041360+36000*n)*p8*p1^2+
192/7*(387659034-55858761/4*n+1322643/8*n^2-4011/4*n^3+21/8*n^4)*p7*p3+96/7*(
40698-252*n)*p7*p1^3+24*(416602620-12521040*n+67200*n^2)*p6*p4+12*(-56625240+
1735776*n-12096*n^2)*p6*p2^2+288*p7*p3*p2^2-3456*p7*p5*p2-1440*p7*p4*p3+
1511528376953856/5*n^2-5760*p9*p3*p2+12*(-213158112+9168704*n-125696*n^2+512*n^
3)*p2*p1^4+192*(1762002663384-2004532153005/4*n+392226996891/8*n^2-8740919823/4
*n^3+403916281/8*n^4-672515*n^5+10599/2*n^6-20*n^7)*p3*p1+144*(-380435540000+
232484177890/3*n-5395098765*n^2+172245936*n^3-8826641/3*n^4+86102/3*n^5-400/3*n
^6)*p2*p1^2+576/5*(252676329810-73509683585/2*n+7183102295/4*n^2-156390135/4*n^
3+1788975/4*n^4-11115/4*n^5+15/2*n^6)*p5*p1+72*(430041185768-198599680180/3*n+
10552898020/3*n^2-83973000*n^3+2852120/3*n^4-12560/3*n^5)*p4*p2+15353856*p6^2-\
36864*p5*p2*p1^3-32640*p4*p3*p1^3-315648*p3^2*p2*p1^2+3072*p3*p2^2*p1^3-82944*
p2^5-3852447545856*n^5+1138419961344/5*n^6+18432*p3*p1^5-38280566784/5*n^7+
150349824*n^8+8192*n^10-1662976*n^9+24*(2016120-35640*n+120*n^2)*p4*p3*p2*p1+
20736*p7^2-1175040*p14+48*(-14851200+263172*n-1092*n^2)*p12+35138581087744*n^4-\
791599465555456/5*n^3+144*(-5497384547200+6487669559041/3*n-5342381594921/18*n^
2+56317031660/3*n^3-10963682135/18*n^4+31902155/3*n^5-879880/9*n^6+1120/3*n^7)*
p4+24*(41972204064-5509838528*n+223941024*n^2-3643648*n^3+27104*n^4-64*n^5)*p1^
4+288*(-4246862860800+18522434170554/5*n-3193934075377/3*n^2+1230584932840/9*n^
3-80512400293/9*n^4+14430862574/45*n^5-58892248/9*n^6+666448/9*n^7-3328/9*n^8)*
p2+72*(2385821932832-697243511720*n+642539969284/9*n^2-10245753736/3*n^3+
767180524/9*n^4-3359504/3*n^5+56512/9*n^6)*p2^2+72*(-86255769600+9192299106*n-\
323627991*n^2+4867740*n^3-34305*n^4+90*n^5)*p8+32*(474741080856-144046613301/2*
n+15034410051/4*n^2-91162383*n^3+4923765/4*n^4-19473/2*n^5+36*n^6)*p3^2+3/2*(
568586496-29481984*n+387072*n^2)*p2^4+18*(25627735600-5762715200/3*n+42694000*n
^2-944800/3*n^3+400*n^4)*p4^2+288/25*(456687000-16332300*n+188400*n^2-900*n^3)*
p5^2+288/5*(-1957635680+199952115/2*n-5945665/4*n^2+17545/2*n^3-55/4*n^4)*p10+
288*(1901917785600-1124954660530*n+662627316349/3*n^2-58167064730/3*n^3+
2581414247/3*n^4-62708896/3*n^5+897868/3*n^6-2560*n^7+32/3*n^8)*p1^2+4/5*(
2280960-46080*n)*p1^6+96*(-1282756434960+521551121847/2*n-73690067941/4*n^2+
1178769851/2*n^3-37657571/4*n^4+76181*n^5-252*n^6)*p6+12*(-92686774560+
11334156128*n-488811744*n^2+9279232*n^3-67776*n^4)*p2^3
[8, 4, 3, 2, 2]
3117611525603328*n-193536*p6*p2^3-2365440*p6*p4*p1^2-2112000*p4^2*p3*p1-576000*
p4^2*p2^2-1797120*p4*p3^2*p2+5760000*p4^3-196608*p3^4-276480*p7^2+128/15*(-\
380880+2160*n)*p5*p3^2*p1+32/5*(-216360+1080*n)*p5*p3*p2^2+64/5*(3647400-12600*
n)*p5*p4*p3+128/5*(3145800-20160*n)*p6*p5*p1+16*(2913120-13440*n)*p6*p4*p2+96/7
*(-174244+840*n)*p7*p2^2*p1+64/7*(7854-84*n)*p7*p2*p1^3+24*(-175920+2016*n)*p8*
p2*p1^2+192/7*(2941260-17710*n+70*n^2)*p7*p4*p1+128/7*(3400992-53529/2*n+105/2*
n^2)*p7*p3*p2+128/7*(-224994+5061/2*n-21/2*n^2)*p7*p3*p1^2+128/3*(2518020-28440
*n)*p9*p2*p1+32*(3407760-39852*n+108*n^2)*p8*p3*p1+384/5*(42654402780-\
8149440545/3*n+54211160*n^2-1177345/3*n^3+670*n^4)*p5*p2*p1+64*(50530032900-\
3207200628*n+64453342*n^2-507640*n^3+1470*n^4)*p4*p3*p1+48*(-4711805480+
740375992/3*n-4070920*n^2+69680/3*n^3)*p4*p2*p1^2+32*(-5967030820+297839844*n-\
4539252*n^2+20784*n^3)*p3*p2^2*p1+64/3*(435960582-19549854*n+291630*n^2-1608*n^
3)*p3*p2*p1^3+384/7*(549366804-102642001/6*n+254793/2*n^2-469/3*n^3)*p7*p2*p1+
128/3*(695724456-21745962*n+181314*n^2-504*n^3)*p6*p3*p1+32*(-48080508+1270752*
n-7728*n^2)*p6*p2*p1^2+192/5*(712020840-19751800*n+119500*n^2-300*n^3)*p5*p4*p1
+128/5*(805986120-20371575*n+118560*n^2-225*n^3)*p5*p3*p2+128/5*(-58978500+
1576095*n-13020*n^2+45*n^3)*p5*p3*p1^2+96/5*(-59419480+1300920*n-3600*n^2)*p5*
p2^2*p1+64/5*(3248460-74100*n+360*n^2)*p5*p2*p1^3+32/3*(3390000-54900*n+180*n^2
)*p4*p3*p1^3+12*(4312640-78720*n)*p4*p2^2*p1^2+4*(-128320+1920*n)*p4*p2*p1^4+
128*(1125841785156-4043193383741/30*n+11004257177/2*n^2-296841646/3*n^3+815579*
n^4-12044/5*n^5)*p3*p2*p1+32/3*(6157380-146016*n+792*n^2)*p3^2*p2*p1^2+16/3*(
5002128-77760*n)*p3*p2^3*p1+16/3*(-289008+5184*n)*p3*p2^2*p1^3+768/35*(-\
38490480+515025/2*n-945/2*n^2)*p7*p5+192/5*(1805100-23815*n+55*n^2)*p10*p1^2+
256/9*(-37271880+841995/2*n-1755/2*n^2)*p9*p3+128/9*(-76410+540*n)*p9*p1^3+24*(
-36108000+262800*n-720*n^2)*p8*p4+12*(2238624-15552*n)*p8*p2^2+768/11*(-\
24794484+395538*n-858*n^2)*p11*p1+192/5*(-27762240+330275*n-275*n^2)*p10*p2+
27648*p8*p3^2+192/25*(2886000-18000*n)*p5^2*p2+192/25*(-187800+1800*n)*p5^2*p1^
2-1317888*p11*p3-633600*p10*p4+12672*p10*p2^2+69888*p12*p1^2-414720*p9*p5-\
1257984*p12*p2+64/9*(4372704-24192*n)*p6*p3^2+768/7*(-221743989852+113178491587
/6*n-6220670393/12*n^2+5686163*n^3-284011/12*n^4+77/6*n^5)*p7*p1+64*(-\
325168044768+25104809163*n-579524183*n^2+4682916*n^3-11368*n^4)*p6*p2+64*(
30312038316-2087930047*n+47229483*n^2-445676*n^3+1680*n^4)*p6*p1^2+256/5*(-\
401263736040+30786832270*n-1407495285/2*n^2+11605885/2*n^3-39105/2*n^4+45/2*n^5
)*p5*p3+128/5*(-3423532770+186124485*n-3326310*n^2+26655*n^3-90*n^4)*p5*p1^3+
128/7*(-31117968+1570863/2*n-11529/2*n^2+21*n^3)*p7*p1^3+32*(-7350198408+
235481400*n-1511160*n^2+3360*n^3)*p6*p4+16*(646157736-15726144*n+66528*n^2)*p6*
p2^2+16/3*(1464960-16128*n)*p6*p1^4+12*(793592640-18011200*n+78400*n^2)*p4^2*p2
+12*(-53980800+1097600*n-3200*n^2)*p4^2*p1^2+32/3*(960339576-24194160*n+135360*
n^2)*p4*p3^2+256/3*(-3933901260+333051045/2*n-3864735/2*n^2+6765*n^3)*p9*p1+48*
(-5242958784+184489692*n-1537860*n^2+3048*n^3)*p8*p2+48*(398736432-13713900*n+
135780*n^2-504*n^3)*p8*p1^2+256/7*(-6753059964+235324999*n-7935081/4*n^2+11473/
2*n^3-21/4*n^4)*p7*p3+26880*p7*p4*p3+34560*p8*p4*p2+41472*p8*p5*p1+38400*p9*p4*
p1+53760*p9*p3*p2-3840*p9*p3*p1^2-4224*p10*p2*p1^2+135168*p10*p3*p1+119808*p11*
p2*p1+96*(823644490224-309702692350/3*n+13491960070/3*n^2-88281276*n^3+2506340/
3*n^4-10040/3*n^5)*p4*p1^2+128/3*(-122355811620+24739261055/2*n-885602175/2*n^2
+7419554*n^3-63978*n^4+240*n^5)*p3*p1^3+48*(-147185725248+42845901352/3*n-\
481548744*n^2+21328496/3*n^3-41600*n^4)*p2^2*p1^2+16*(13783624992-3331194680/3*
n+31393688*n^2-1206160/3*n^3+2176*n^4)*p2*p1^4+256*(-27063111906864+
48189633025837/6*n-49625520308957/60*n^2+388243613193/10*n^3-3664840673/4*n^4+
33905830/3*n^5-1048897/15*n^6+776/5*n^7)*p3*p1+192*(6593324785344-4473398745556
/3*n+5359206614882/45*n^2-13328584400/3*n^3+772364662/9*n^4-869508*n^5+173408/
45*n^6)*p2*p1^2+24*(55489065456-3107958048*n+49892800*n^2-242560*n^3)*p4*p2^2+8
*(292859520-11200720*n+118960*n^2-480*n^3)*p4*p1^4+64/3*(62843864112-3618176685
*n+63347667*n^2-412434*n^3+828*n^4)*p3^2*p2+64/3*(-5403217884+295309425*n-\
5502027*n^2+45522*n^3-144*n^4)*p3^2*p1^2+32/15*(-17863680+415680*n-960*n^2)*p3*
p1^5+8*(494961504-20245824*n+214272*n^2)*p2^3*p1^2+4*(-28489024+1004928*n-9216*
n^2)*p2^2*p1^4+8/15*(698880-15360*n)*p2*p1^6+768/5*(-4454183218260+
4230571002301/6*n-114691517525/3*n^2+1824189565/2*n^3-61382465/6*n^4+300929/6*n
^5-55*n^6)*p5*p1+96*(-6598921825104+998841411786*n-149569110490/3*n^2+
3076010156/3*n^3-26775440/3*n^4+86176/3*n^5)*p4*p2+4*(-57381120+898560*n)*p4*p2
^3+128/27*(-92579976+2442960*n-15552*n^2)*p3^3*p1+16/3*(-78511320+1581984*n-\
5616*n^2)*p3^2*p2^2-3072*p7*p3^2*p1-1152*p7*p3*p2^2+43008*p7*p6*p1+23040*p7*p5*
p2-2304*p7*p5*p1^2+64512*p6*p2^2*p1^2+43008*p6*p3*p1^3+23040*p5*p4*p1^3+76800*
p4^2*p2*p1^2-3840*p4*p3*p2*p1^3+149760*p4*p3*p2^2*p1+92160*p4*p3^2*p1^2+86016*
p3^3*p2*p1+13824*p3^2*p2^3-4608*p3^2*p2^2*p1^2-3138458131533824/5*n^4+
2831246403538944*n^3-24576*p5*p1^5+28200960*p14-229376*p3^2*p1^4+4096*p3*p2*p1^
5-110592*p2^4*p1^2+96*(-34965030445632+51034407192552/5*n-5082709502096/5*n^2+
134586959360/3*n^3-2839855240/3*n^4+143100704/15*n^5-587392/15*n^6)*p2^2+384*(-\
27038736748800+248443043654996/15*n-30758866779998/9*n^2+2892249693268/9*n^3-\
233720199446/15*n^4+18711963872/45*n^5-18957656/3*n^6+481024/9*n^7-9152/45*n^8)
*p1^2+384/25*(-7623163800+242090550*n-1535400*n^2+4050*n^3)*p5^2+192*(
79127621314560-31357003477962*n+4288327900489*n^2-790242103028/3*n^3+
23586141293/3*n^4-114408674*n^5+2313520/3*n^6-5824/3*n^7)*p4+384*p7*p3*p2*p1^2-\
3840*p7*p4*p2*p1-6912*p8*p3*p2*p1+331776*p2^5+384/5*(32970777840-1654531450*n+
41944595/2*n^2-72875*n^3+55/2*n^4)*p10+32/3*(-39457152+225792*n)*p6^2+64*(
260638560-4464642*n+9282*n^2)*p12+24*(-423887546400+32037090000*n-700714160*n^2
+5092800*n^3-13600*n^4)*p4^2+16/15*(-981849600+54825600*n-869760*n^2+3840*n^3)*
p1^6+16*(1361967626592-153134158416*n+5606742864*n^2-82851648*n^3+448128*n^4)*
p2^3+2*(-6093948672+250767360*n-2460672*n^2)*p2^4+96*(1382199698880-\
146332398816*n+4853917794*n^2-59659536*n^3+264354*n^4-276*n^5)*p8+128/3*(-\
7388069759136+5593999195312/5*n-111961649937/2*n^2+1168802326*n^3-21840909/2*n^
4+234933/5*n^5-72*n^6)*p3^2-26926201788653568/5*n^2+128*(19472938364880-\
19831292168646/5*n+548139610151/2*n^2-8092741237*n^3+210926051/2*n^4-2870434/5*
n^5+952*n^6)*p6+32*(-1036112406336+564228830600/3*n-37105049480/3*n^2+390070816
*n^3-19701856/3*n^4+181888/3*n^5-256*n^6)*p1^4+384*(58376066515200-\
51360423704300*n+222493429632778/15*n^2-1890520116168*n^3+5372483765746/45*n^4-\
3913482028*n^5+3009896176/45*n^6-575136*n^7+93184/45*n^8)*p2+1016888541564928/
15*n^5-57501328273408/15*n^6-28637544448/15*n^8+350401642496/3*n^7+240320512/15
*n^9-851968/15*n^10+96/5*(-233200+1200*n)*p5*p4*p2*p1+64/5*(20940-180*n)*p5*p3*
p2*p1^2+64/3*(-297864+2016*n)*p6*p3*p2*p1+32*(-73257088+1716300*n-8220*n^2)*p4*
p3*p2*p1-387072*p8*p6-2580480*p13*p1
[8, 4, 2, 2, 2, 2]
-58530340126851072*n+2322432*p6*p2^3+30781440*p4*p3^2*p2+12441600*p4^2*p2^2+
93235200*p4^2*p3*p1-10240*p7*p4*p1^3+2621440*p3^4-170496000*p4^3+512*p7*p3*p1^4
+2048/15*(686040-1800*n)*p5*p3^2*p1+512/5*(227070-810*n)*p5*p3*p2^2+512/15*(
10110-90*n)*p5*p3*p1^4+512/5*(-113600+600*n)*p5*p4*p1^3+1024/5*(-5118650+9150*n
)*p5*p4*p3+256*(1039920-6720*n)*p6*p4*p1^2+1024/9*(-107604+1008*n)*p6*p3*p1^3+
2048/5*(-8498700+50400*n)*p6*p5*p1+256*(-4158000+20160*n)*p6*p4*p2+2048/7*(
968548-18557/2*n+21/2*n^2)*p7*p3*p1^2+1536/7*(249081-1134*n)*p7*p2^2*p1+1024/7*
(-50575+294*n)*p7*p2*p1^3+3072/7*(-8244915+59360*n-70*n^2)*p7*p4*p1+2048/7*(-\
3908590+57603/2*n-63/2*n^2)*p7*p3*p2+2048/3*(-5239575+50490*n)*p9*p2*p1+512*(-\
7437360+70092*n-108*n^2)*p8*p3*p1+384*(593784-4752*n)*p8*p2*p1^2+6144/5*(-\
77202100725+5181184325*n-102266600*n^2+611825*n^3-690*n^4)*p5*p2*p1+1024*(-\
91710287635+6140715938*n-121298617*n^2+753690*n^3-1455*n^4)*p4*p3*p1+768*(
11675273116-689283168*n+11968440*n^2-57840*n^3)*p4*p2*p1^2+512*(10933144953-\
532870740*n+7110072*n^2-25200*n^3)*p3*p2^2*p1+1024/3*(-1556253839+80543850*n-\
1219410*n^2+4968*n^3)*p3*p2*p1^3+2048*(-1752793286049+2209081165003/10*n-\
9318188186*n^2+161867895*n^3-2225505/2*n^4+12126/5*n^5)*p3*p2*p1+6144/7*(-\
1134117831+70038745/2*n-426307/2*n^2+161*n^3)*p7*p2*p1+2048/3*(-1452860304+
44965914*n-275730*n^2+504*n^3)*p6*p3*p1+512*(152148738-4156824*n+19152*n^2)*p6*
p2*p1^2+3072/5*(-1593177690+48136250*n-259000*n^2+300*n^3)*p5*p4*p1+2048/5*(-\
1116083260+25368255*n-113220*n^2+135*n^3)*p5*p3*p2+2048/5*(197449720-5710105*n+
32580*n^2-45*n^3)*p5*p3*p1^2+1536/5*(114545670-2244150*n+4860*n^2)*p5*p2^2*p1+
1024/5*(-17883070+415890*n-1260*n^2)*p5*p2*p1^3+512/3*(-24029944+638700*n-3060*
n^2)*p4*p3*p1^3+192*(-12541680+208800*n)*p4*p2^2*p1^2+64*(1727520-31680*n)*p4*
p2*p1^4+512/3*(-16476630+350244*n-1080*n^2)*p3^2*p2*p1^2+256/3*(-7094844+104976
*n)*p3*p2^3*p1+256/3*(1111752-18144*n)*p3*p2^2*p1^3+256/15*(-128100+2160*n)*p3*
p2*p1^5+3072/5*(39487140-432465*n+165*n^2)*p10*p2+3072/5*(-8354280+132495*n-55*
n^2)*p10*p1^2+4096/9*(51347340-957825/2*n+1485/2*n^2)*p9*p3+2048/9*(1013265-\
14850*n)*p9*p1^3+384*(57789720-423360*n+720*n^2)*p8*p4+1024/9*(-4819248+20160*n
)*p6*p3^2+3072/25*(-4239900+18900*n)*p5^2*p2+3072/25*(1060500-6300*n)*p5^2*p1^2
-368640*p8*p3^2+512/35*(6265-70*n)*p7*p1^5+9289728*p8*p6+64*(-99336+1296*n)*p8*
p1^4+12288/35*(61258890-756735/2*n+735/2*n^2)*p7*p5+192*(-2689416+16848*n)*p8*
p2^2+12288/11*(60514025-998712*n+858*n^2)*p11*p1+40960*p7*p3^2*p1+13824*p7*p3*
p2^2-312320*p7*p4*p3+129024*p7*p5*p1^2-1032192*p7*p6*p1-387072*p7*p5*p2-18432*
p8*p3*p1^3+276480*p8*p4*p1^2-2322432*p8*p5*p1-829440*p8*p4*p2-3379200*p9*p4*p1-\
1013760*p9*p3*p2+337920*p9*p3*p1^2-2875392*p11*p2*p1-3964928*p10*p3*p1+101376*
p10*p2*p1^2+256*(-40673479368+4147171640*n-147908312*n^2+2214704*n^3-11904*n^4)
*p2*p1^4+4096*(35806190860530-131851042714393/12*n+47005718728903/40*n^2-\
3432996057463/60*n^3+32924645851/24*n^4-16048353*n^5+2452249/30*n^6-676/5*n^7)*
p3*p1+3072*(-9503375926464+34542401322446/15*n-2993739231163/15*n^2+24262194380
/3*n^3-494433577/3*n^4+8158618/5*n^5-31344/5*n^6)*p2*p1^2+64*(159199488-6508224
*n+64512*n^2)*p2^2*p1^4+128/15*(-17847560+662640*n-5760*n^2)*p2*p1^6+12288/5*(
6545953754965-1089639198786*n+746416289635/12*n^2-18347832605/12*n^3+194653025/
12*n^4-736153/12*n^5+95/2*n^6)*p5*p1+1536*(8974305508068-1364546940030*n+
67159662418*n^2-1308870300*n^3+10008680*n^4-26928*n^5)*p4*p2+1536*(-\
1422492540468+594053781098/3*n-28906882216/3*n^2+615374812/3*n^3-5664050/3*n^4+
5716*n^5)*p4*p1^2+2048/3*(265286428653-946556896433/30*n+2652661455/2*n^2-\
73462054/3*n^3+192930*n^4-2352/5*n^5)*p3*p1^3+768*(279881184296-30061997160*n+
1093834200*n^2-16167216*n^3+82560*n^4)*p2^2*p1^2+12288/7*(376029639545-\
136773337127/4*n+23562606053/24*n^2-60396469/6*n^3+678643/24*n^4-133/12*n^5)*p7
*p1+1024*(465157044324-35507531073*n+778313109*n^2-5421444*n^3+9996*n^4)*p6*p2+
1024*(-67284730296+5333987743*n-135174907*n^2+1220492*n^3-2576*n^4)*p6*p1^2+
4096/5*(573676599570-260140960385/6*n+3700355515/4*n^2-73484075/12*n^3+60425/4*
n^4-45/4*n^5)*p5*p3+2048/5*(11015097135-2289103075/3*n+16845610*n^2-383525/3*n^
3+170*n^4)*p5*p1^3+384*(-79868384604+4327848072*n-64160640*n^2+270720*n^3)*p4*
p2^2+128*(-1613997724+97007224*n-1821040*n^2+10720*n^3)*p4*p1^4+1024/3*(-\
88967316512+4808131179*n-72443115*n^2+367362*n^3-486*n^4)*p3^2*p2+1024/3*(
13163997716-788732809*n+14359227*n^2-85330*n^3+144*n^4)*p3^2*p1^2+512/15*(
203146025-10474800*n+165900*n^2-800*n^3)*p3*p1^5+128*(-1219855464+49701168*n-\
473472*n^2)*p2^3*p1^2+512/25*(2231950-55750*n+300*n^2)*p5*p1^5+192*(-1174836960
+25963200*n-100800*n^2)*p4^2*p2+192*(208800320-5908800*n+28800*n^2)*p4^2*p1^2+
512/3*(-1313397430+28813740*n-110880*n^2)*p4*p3^2+64*(72861120-1088640*n)*p4*p2
^3+64/15*(-163600+2400*n)*p4*p1^6+2048/27*(169200540-3806136*n+13824*n^2)*p3^3*
p1+256/3*(89194338-1642356*n+3888*n^2)*p3^2*p2^2+256/9*(2504082-63108*n+288*n^2
)*p3^2*p1^4+4096/3*(7955823975-722658255/2*n+8016525/2*n^2-7755*n^3)*p9*p1+768*
(7706844432-260124372*n+1884492*n^2-2520*n^3)*p8*p2+768*(-1224700992+50243388*n
-507588*n^2+696*n^3)*p8*p1^2+4096/7*(9867304335-3863903071/12*n+16852143/8*n^2-\
55895/12*n^3+21/8*n^4)*p7*p3+2048/7*(173253927-37755977/6*n+109809/2*n^2-119/3*
n^3)*p7*p1^3+512*(11126763522-352700880*n+1978200*n^2-3360*n^3)*p6*p4+256*(-\
903827862+20324808*n-72576*n^2)*p6*p2^2+256/3*(-21633990+671496*n-4704*n^2)*p6*
p1^4+86016*p6*p2*p1^4-1548288*p6*p2^2*p1^2-5529600*p4^2*p2*p1^2-7782400*p4*p3^2
*p1^2+153600*p4^2*p1^4+460800*p4*p3*p2*p1^3-5120*p4*p3*p1^5-3456000*p4*p3*p2^2*
p1-1671168*p3^3*p2*p1+131072*p3^3*p1^3-165888*p3^2*p2^3+110592*p3^2*p2^2*p1^2-\
6144*p3^2*p2*p1^4-268518423684087808/5*n^3+59869505016594432/5*n^4-714424320*
p14+16384/3*p3*p1^7-3981312*p2^5+2654208*p2^4*p1^2-147456*p2^3*p1^4+3072*(-\
99694397897640+39953611370781*n-32997467158619/6*n^2+336151163154*n^3-\
58479468197/6*n^4+131115817*n^5-2252632/3*n^6+1568*n^7)*p4+6144*(-\
70467016057200+313142447818886/5*n-274043822306893/15*n^2+35123713527748/15*n^3
-441422142575/3*n^4+70489445242/15*n^5-1128698152/15*n^6+8591152/15*n^7-1792*n^
8)*p2+6144*(33510627385200-105620027487526/5*n+67954921469777/15*n^2-\
20155879228186/45*n^3+346069480819/15*n^4-29422417456/45*n^5+153887548/15*n^6-\
3773824/45*n^7+4256/15*n^8)*p1^2+32*(8373450816-318608640*n+2820096*n^2)*p2^4+
1536*(-1938463647120+205277536866*n-6644725347*n^2+74266848*n^3-250233*n^4+186*
n^5)*p8-152064*p10*p2^2-5632*p10*p1^4+14192640*p9*p5+2048*(-25841079924660+
53057528976543/10*n-1461365787721/4*n^2+20950774761/2*n^3-499082899/4*n^4+
2750601/5*n^5-700*n^6)*p6+3670016/5*n^10-1195900928/5*n^9+116981760*p13*p1+
25159680*p12*p2+1024/5*(-53010+270*n)*p5*p3*p2*p1^2+1536/5*(517200-1800*n)*p5*
p4*p2*p1+1024/3*(469980-3024*n)*p6*p3*p2*p1+512*(144689652-3120300*n+10980*n^2)
*p4*p3*p2*p1+165888*p8*p3*p2*p1-8386560*p12*p1^2+72367521169408*n^6-\
6469338721124352/5*n^5+507418625315897344/5*n^2+6144/5*(-48711843180+4834764935
/2*n-113054645/4*n^2+136015/2*n^3-55/4*n^4)*p10+6144/25*(11553392550-363712650*
n+1969800*n^2-3150*n^3)*p5^2+512/3*(62064576-338688*n)*p6^2+1024*(-402096240+
6691230*n-8190*n^2)*p12+256*(-1892520828504+211138885440*n-7441217712*n^2+
100861632*n^3-478656*n^4)*p2^3+1536*(45003209214096-66462090186768/5*n+
6636511207004/5*n^2-57649657464*n^3+1155135116*n^4-52288752/5*n^5+186816/5*n^6)
*p2^2+2048/3*(10037903587680-9140644488127/6*n+298216188791/4*n^2-4310302282/3*
n^3+43858141/4*n^4-71601/2*n^5+36*n^6)*p3^2+384*(609994733160-45942422880*n+
967316160*n^2-6064800*n^3+13200*n^4)*p4^2+512*(1809128703888-5684782313384/15*n
+443335462024/15*n^2-3359333600/3*n^3+66364864/3*n^4-1097792/5*n^5+4352/5*n^6)*
p1^4+256/15*(5687729400-1621638080/3*n+18125920*n^2-766720/3*n^3+1280*n^4)*p1^6
+32/105*(1487360-35840*n)*p1^8-10665766551552/5*n^7+162059911168/5*n^8+18754560
*p10*p4+319488*p11*p1^3+23162880*p11*p3-9216*p7*p3*p2*p1^2+92160*p7*p4*p2*p1+
4055040*p7^2
[8, 3, 3, 3, 2]
3121120176242688*n-2636064*p8*p2*p1^2-77760*p9*p1^3-134784*p7*p3*p1^2-5225472*
p6*p3*p2*p1-967680*p6*p4*p1^2+41990400*p8*p3*p1+21783168*p10*p1^2+16644096*p6*
p3^2+432*(320230628696-77538011565/2*n+6789514097/4*n^2-76031189/2*n^3+2027541/
4*n^4-3926*n^5+27/2*n^6)*p3*p2*p1+7776000*p4^3-2384640*p4*p3^2*p2-2332800*p4^2*
p2^2-1296000*p4^2*p3*p1-157040640*p3^3*p1+432/5*(528080-1680*n)*p6*p5*p1+54*(
1853040-6720*n)*p6*p4*p2+324/7*(-175448+2534*n-14*n^2)*p7*p2^2*p1+648/7*(665000
-6475*n+35*n^2)*p7*p4*p1+432/7*(1782858-15708*n+84*n^2)*p7*p3*p2+144*(977400-\
14130*n+90*n^2)*p9*p2*p1+81/2*(1795520-36640*n+160*n^2)*p4*p2^2*p1^2-855360*p10
*p4+2592/11*(-5011864+65637*n-429*n^2)*p11*p1+648/5*(-15354900+257400*n-1320*n^
2)*p10*p2-1451520*p13*p1+54/5*(25040-240*n)*p5*p2^3*p1+108/5*(-261120+1440*n)*
p5*p3*p2^2+216/5*(980400-3600*n)*p5*p4*p3+18*(4200728-111648*n+816*n^2)*p3*p2^3
*p1+1296/5*(12436180040-835627235*n+42024425/2*n^2-560435/2*n^3+4175/2*n^4-15/2
*n^5)*p5*p2*p1+216*(12539167040-708183755*n+13554605*n^2-132950*n^3+540*n^4)*p4
*p3*p1+162*(-1127980656+170343680/3*n-1051780*n^2+26440/3*n^3-20*n^4)*p4*p2*p1^
2+108*(-2082077912+121470150*n-2718446*n^2+30020*n^3-132*n^4)*p3*p2^2*p1+72*(
70641804-2004384*n+12360*n^2)*p3*p2*p1^3+1296/7*(176070356-12474749/2*n+342181/
4*n^2-1225/2*n^3+7/4*n^4)*p7*p2*p1+9*(-348768+2688*n)*p6*p2^3+144*(137954600-\
2904384*n+19824*n^2)*p6*p3*p1+648/25*(2020200-12600*n)*p5^2*p2+108*(-11003888+
233856*n-1344*n^2)*p6*p2*p1^2+648/5*(162574100-4056550*n+40700*n^2-150*n^3)*p5*
p4*p1-3888*p8*p2^3+432/5*(342967650-10624620*n+107220*n^2-360*n^3)*p5*p3*p2+
2592/35*(-13033860+192255/2*n-735/2*n^2)*p7*p5-3538080*p12*p2+432/5*(-5774640+
9360*n)*p5*p3*p1^2+96*(-10152270+88020*n-540*n^2)*p9*p3+324/5*(-30272840+974900
*n-11840*n^2+60*n^3)*p5*p2^2*p1+216/5*(408360-1080*n)*p5*p2*p1^3+81*(-12257280+
89640*n-360*n^2)*p8*p4-808704*p11*p3+81/2*(2556864-35280*n+144*n^2)*p8*p2^2+
2592/7*(-58574999672+14157459050/3*n-3110596741/24*n^2+86628787/48*n^3-239925/
16*n^4+1183/16*n^5-7/48*n^6)*p7*p1+216*(-108095034852+9390658410*n-284977945*n^
2+4085494*n^3-28875*n^4+84*n^5)*p6*p2+216*(6346623696-1068276020/3*n+6514452*n^
2-168448/3*n^3+168*n^4)*p6*p1^2+864/5*(-122386734870+19304681445/2*n-497082735/
2*n^2+2983065*n^3-18105*n^4+45*n^5)*p5*p3+432/5*(-508674420+16984650*n-130440*n
^2+270*n^3)*p5*p1^3+288*(-937439040+69816375/2*n-1862775/4*n^2+6795/2*n^3-45/4*
n^4)*p9*p1+162*(-2091206448+92589228*n-1356534*n^2+8604*n^3-18*n^4)*p8*p2+162*(
63147072-1330632*n+8136*n^2)*p8*p1^2+864/7*(-2053861908+139070043/2*n-742812*n^
2+3801*n^3-21/2*n^4)*p7*p3+432/7*(-2725632+12159*n-63*n^2)*p7*p1^3+108*(-\
2342623248+77224700*n-682220*n^2+1680*n^3)*p6*p4+54*(381400320-14099064*n+
163128*n^2-672*n^3)*p6*p2^2+81/2*(365500320-10576000*n+73600*n^2)*p4^2*p2+81/2*
(-8652800+148000*n-800*n^2)*p4^2*p1^2+864*(-7832912472064+6973490357420/3*n-\
5784205658317/24*n^2+561401145571/48*n^3-4925536539/16*n^4+79421693/16*n^5-\
2492965/48*n^6+2673/8*n^7-n^8)*p3*p1+648*(1827604531264-6064480865716/15*n+
95428905041/3*n^2-7331615897/6*n^3+163751377/6*n^4-11691523/30*n^5+20653/6*n^6-\
44/3*n^7)*p2*p1^2+81*(22224926496-1591674600*n+40348136*n^2-446080*n^3+1760*n^4
)*p4*p2^2+27*(29031680-514720*n+2720*n^2)*p4*p1^4+72*(21609573540-1392881160*n+
31974360*n^2-355008*n^3+1656*n^4)*p3^2*p2+72*(-906785616+29788704*n-196992*n^2)
*p3^2*p1^2+27*(193182720-30137744/3*n+194928*n^2-4480/3*n^3)*p2^3*p1^2+27/2*(-\
5260928+120320*n-512*n^2)*p2^2*p1^4+2592/5*(-1248399132480+1167700223545/6*n-\
31646095865/3*n^2+6520105055/24*n^3-16123545/4*n^4+150705/4*n^5-2605/12*n^6+5/8
*n^7)*p5*p1+324*(-2020911143712+323726684686*n-54991844513/3*n^2+1490655358/3*n
^3-21975991/3*n^4+171308/3*n^5-180*n^6)*p4*p2+324*(204734984928-70322744084/3*n
+2768103002/3*n^2-17482435*n^3+567845/3*n^4-3175/3*n^5+5/3*n^6)*p4*p1^2+144*(-\
24706454328+1985115531*n-50249121*n^2+498870*n^3-1680*n^4)*p3*p1^3+162*(-\
39704939776+11837373112/3*n-451601828/3*n^2+9133960/3*n^3-104188/3*n^4+544/3*n^
5)*p2^2*p1^2+36*(261865680-5410080*n+40320*n^2)*p4*p3^2+27/2*(-59164704+1688960
*n-10880*n^2)*p4*p2^3+18*(-47848416+1298880*n-10368*n^2)*p3^2*p2^2+27/8*(-\
320768+6144*n)*p2^4*p1^2-5184*p7*p3*p2^2+432*p7*p2^3*p1+25920*p7*p4*p3+24192*p7
*p6*p1+54432*p7*p5*p2+58320*p8*p4*p2-12960*p9*p2^2*p1+64800*p9*p4*p1+103680*p9*
p3*p2+202176*p11*p2*p1+7776*p7*p2*p1^3+145152*p6*p2^2*p1^2+64800*p4^2*p2*p1^2+
336960*p4*p3*p2^2*p1-4320*p4*p2^3*p1^2+51840*p4*p2^4+89856*p3^2*p2^3-5184*p3*p2
^4*p1-3244336650382464/5*n^4+14350397496240384/5*n^3-146880*p4*p2*p1^4+4608*p2^
3*p1^4+31726080*p14+365011121581056/5*n^5-22452567639552/5*n^6-5419008*p3*p1^5-\
2271744/5*n^10+262197504/5*n^9+216*(84651840-1493310*n+8190*n^2)*p12+1296/25*(-\
2447988900+82631850*n-835800*n^2+3150*n^3)*p5^2+1296/5*(10316386080-539529595*n
+8661400*n^2-62370*n^3+165*n^4)*p10+36*(-12333888+37632*n)*p6^2+1296*(-\
7917956121600+72506333051008/15*n-44695472400079/45*n^2+8394198531449/90*n^3-\
82707329575/18*n^4+11831591917/90*n^5-216237287/90*n^6+1326293/45*n^7-692/3*n^8
+8/9*n^9)*p1^2+648*(23419261232640-9426624588184*n+7988349319375/6*n^2-\
1051205240909/12*n^3+36434268913/12*n^4-722776747/12*n^5+8563409/12*n^6-4734*n^
7+40/3*n^8)*p4+1296*(17276542617600-76541821297344/5*n+22474719923319/5*n^2-\
5938389740149/10*n^3+1214522958707/30*n^4-9343450229/6*n^5+1090372891/30*n^6-\
8018044/15*n^7+23468/5*n^8-96/5*n^9)*p2-311040*p7^2+1128960*p6*p1^4+54*(
2447342912-157525456*n+3363088*n^2-28928*n^3+64*n^4)*p2*p1^4+6186240*p4*p3*p1^3
+25671168*p3^2*p2*p1^2-812160*p3*p2^2*p1^3+82944*p2*p1^6+162097159680*n^7-\
18227200896/5*n^8+9216/5*n^11+18/5*(-87075840+2223360*n-11520*n^2)*p1^6+54*(
462763275840-303433693168/5*n+8912812832/3*n^2-217760032/3*n^3+2781712/3*n^4-\
76096/15*n^5)*p2^3+324*(419614715520-46074537084*n+1700534169*n^2-56720463/2*n^
3+492867/2*n^4-2097/2*n^5+3/2*n^6)*p8+144*(-2212446134832+344329095975*n-\
18385438854*n^2+453802866*n^3-6127701*n^4+47082*n^5-168*n^6)*p3^2+27/40*(
8647680-184320*n)*p2^5-217728*p8*p6+432*(5805160320960-6069350608111/5*n+
533617025641/6*n^2-36241550863/12*n^3+651076699/12*n^4-33185593/60*n^5+12117/4*
n^6-7*n^7)*p6+108*(-22437260+518400*n-3720*n^2)*p4*p3*p2*p1-6480*p7*p4*p2*p1+27
/4*(-3767959296+245180160*n-5488384*n^2+44032*n^3)*p2^4+324/5*(-104600+600*n)*
p5*p4*p2*p1+324*(-10434822033408+15731644415432/5*n-336183269548*n^2+
258761052796/15*n^3-491983720*n^4+126007564/15*n^5-82876*n^6+5584/15*n^7)*p2^2+
171072*p10*p2^2-544320*p9*p5+81*(-130294285440+10240628520*n-257547880*n^2+
2763200*n^3-11200*n^4)*p4^2+108*(-242773296256+115565696720/3*n-6262878224/3*n^
2+152842480/3*n^3-616560*n^4+3472*n^5-16/3*n^6)*p1^4-27055012799545344/5*n^2
[8, 3, 3, 2, 2, 2]
-967680*p3^2*p2^3-2433024*p3^3*p2*p1+3538944*p3^4-58584271097954304*n+276480*p3
^2*p2^2*p1^2+62208*p3*p2^4*p1-6912*p3*p2^3*p1^3+509407789682331648/5*n^2+108*(-\
34169712+860800*n-5120*n^2)*p4*p2^2*p1^2+36*(1888160-34720*n+160*n^2)*p4*p2*p1^
4+96*(-20044070+360780*n-2160*n^2)*p4*p3*p1^3+864/5*(325864300-9545280*n+79520*
n^2-240*n^3)*p5*p2^2*p1+576/5*(-24690920+663970*n-6520*n^2+30*n^3)*p5*p2*p1^3+
288*(251020224-8020236*n+84252*n^2-336*n^3)*p6*p2*p1^2+1728/5*(-2467515590+
71860550*n-533500*n^2+1050*n^3)*p5*p4*p1+1152/5*(-2794375715+77470300*n-567580*
n^2+1200*n^3)*p5*p3*p2+1152/5*(243165585-6388260*n+55320*n^2-180*n^3)*p5*p3*p1^
2+3456/7*(-2182272316+318473589/4*n-7294847/8*n^2+17171/4*n^3-49/8*n^4)*p7*p2*
p1+384*(-2318642256+72050160*n-642936*n^2+2016*n^3)*p6*p3*p1+72*(-171696+1344*n
)*p6*p2^2*p1^2+576/5*(-10424200+24600*n)*p5*p4*p3+288/5*(-63100+300*n)*p5*p4*p1
^3+384/5*(1090080-4320*n)*p5*p3^2*p1+89856*p11*p1^3+31988736*p11*p3+384*(-\
13699080+192600*n-720*n^2)*p9*p2*p1+288*(-11898072+113616*n-432*n^2)*p8*p3*p1-\
4717440*p12*p1^2+64471680*p12*p2+1152*(-3011742605458+23294244840463/60*n-\
425904138517/24*n^2+385878541*n^3-106415375/24*n^4+1518917/60*n^5-93/2*n^6)*p3*
p2*p1+288*(22136352128-3895305452/3*n+26219530*n^2-655468/3*n^3+510*n^4)*p3*p2^
2*p1+192*(-2028216168+105113445*n-1963136*n^2+17324*n^3-57*n^4)*p3*p2*p1^3+576*
(-149635491278+30061297247/3*n-220052653*n^2+6197290/3*n^3-7490*n^4)*p4*p3*p1+
432*(17787297600-1084893096*n+23297758*n^2-227540*n^3+830*n^4)*p4*p2*p1^2+3456/
5*(-134262885340+57433676105/6*n-934860055/4*n^2+30849275/12*n^3-51665/4*n^4+
105/4*n^5)*p5*p2*p1+48*(-40054668+893016*n-3456*n^2)*p3*p2^3*p1+48*(3013004-\
63720*n+336*n^2)*p3*p2^2*p1^3+96*(-30351552+687168*n-4320*n^2)*p3^2*p2*p1^2+288
/5*(1471840-5520*n)*p5*p3*p2^2+144/5*(-181800+1080*n)*p5*p2^3*p1+216*(1409760-\
18504*n+72*n^2)*p8*p2*p1^2+1728/7*(-11961110+70245*n-245*n^2)*p7*p4*p1+1152/7*(
-13883751+104524*n-280*n^2)*p7*p3*p2+1152/7*(1029525-8358*n+42*n^2)*p7*p3*p1^2+
864/7*(1799840-18984*n+56*n^2)*p7*p2^2*p1+576/7*(-116172+1351*n-7*n^2)*p7*p2*p1
^3+1152/5*(-12358500+57960*n)*p6*p5*p1+144*(-13440840+50400*n)*p6*p4*p2+144*(
993720-3360*n)*p6*p4*p1^2-2356992*p10*p2^2+18627840*p10*p4-13824*p7*p3*p2*p1^2+
129600*p7*p4*p2*p1+144/5*(13480-120*n)*p5*p2^2*p1^3+576*(-96689234250+
7296879807*n-381687117/2*n^2+2362143*n^3-30387/2*n^4+42*n^5)*p6*p1^2+2304/5*(
1059379374825-167814897755/2*n+2047665765*n^2-40386815/2*n^3+175015/2*n^4-255/2
*n^5)*p5*p3+144*(-2712393936+86833824*n-797664*n^2+2688*n^3)*p6*p2^2+48*(-\
13644624+247296*n-1344*n^2)*p6*p1^4+288/25*(739800-1800*n)*p5*p1^5+1152/7*(
166512192-19957679/4*n+428561/8*n^2-1309/4*n^3+7/8*n^4)*p7*p1^3+288*(
21193219488-690406500*n+5189940*n^2-11760*n^3)*p6*p4+768*(12632980050-\
2278106415/4*n+62759565/8*n^2-179865/4*n^3+675/8*n^4)*p9*p1+432*(16943481048-\
680731638*n+8119761*n^2-39546*n^3+63*n^4)*p8*p2+432*(-1570705128+59909202*n-\
759087*n^2+4518*n^3-9*n^4)*p8*p1^2+2304/7*(19176524262-665935088*n+24910123/4*n
^2-46865/2*n^3+119/4*n^4)*p7*p3-497664*p8*p3^2+11854080*p9*p5+2304*(
62513935158936-1155216465854287/60*n+41710242423807/20*n^2-25351521472873/240*n
^3+135793979189/48*n^4-3467810219/80*n^5+93284051/240*n^6-220541/120*n^7+3*n^8)
*p3*p1+1728*(-16046069628960+3847589798174*n-5007768195346/15*n^2+423501140651/
30*n^3-665059847/2*n^4+28045573/6*n^5-1154563/30*n^6+2212/15*n^7)*p2*p1^2+72*(-\
2608498368+142804416*n-2716032*n^2+19200*n^3)*p2^3*p1^2+36*(213654080-29849696/
3*n+165280*n^2-3328/3*n^3)*p2^2*p1^4+24/5*(-11066400+281600*n-1280*n^2)*p2*p1^6
+6912/5*(11173652561310-22331304595147/12*n+2606214428435/24*n^2-23475529615/8*
n^3+996258475/24*n^4-960932/3*n^5+4915/4*n^6-15/8*n^7)*p5*p1+864*(
16293471040072-2589060523107*n+840229224259/6*n^2-10150495607/3*n^3+247120277/6
*n^4-765760/3*n^5+620*n^6)*p4*p2+864*(-2242074273672+907394372615/3*n-\
87661144613/6*n^2+1013895896/3*n^3-25471861/6*n^4+87629/3*n^5-85*n^6)*p4*p1^2+
384*(372006836370-165443787347/4*n+13389434961/8*n^2-66553423/2*n^3+2968695/8*n
^4-9179/4*n^5+6*n^6)*p3*p1^3+432*(453398560224-750584508292/15*n+6140516902/3*n
^2-124630700/3*n^3+1344842/3*n^4-31888/15*n^5)*p2^2*p1^2+144*(-50899346944+
14453252108/3*n-508703522/3*n^2+3001996*n^3-88222/3*n^4+400/3*n^5)*p2*p1^4+216*
(-173501693312+33920816960/3*n-244077904*n^2+6583840/3*n^3-6800*n^4)*p4*p2^2+72
*(-1471629968+209823800/3*n-1100620*n^2+25000/3*n^3-20*n^4)*p4*p1^4+192*(-\
182577266406+11313091012*n-228489572*n^2+1925368*n^3-5460*n^4)*p3^2*p2+192*(
18337247058-1051144032*n+20774508*n^2-191784*n^3+720*n^4)*p3^2*p1^2+96/5*(
128064180-3875880*n+22080*n^2)*p3*p1^5+1152/5*(13087043520-1619356735/2*n+
70299285/4*n^2-764775/4*n^3+4655/4*n^4-15/4*n^5)*p5*p1^3+108*(-2856356400+
74329600*n-438400*n^2)*p4^2*p2+108*(246364560-5928800*n+37600*n^2)*p4^2*p1^2+96
*(-2716827512+63784560*n-380160*n^2)*p4*p3^2+36*(363116688-8922240*n+46080*n^2)
*p4*p2^3+128/3*(287219088-6513696*n+41472*n^2)*p3^3*p1+48*(345859952-7873056*n+
38400*n^2)*p3^2*p2^2+9*(4258944-82944*n)*p2^4*p1^2+6*(-268224+4608*n)*p2^3*p1^4
+6912/7*(620826399438-224879580639/4*n+3430204071/2*n^2-374068555/16*n^3+
2523185/16*n^4-7721/16*n^5+7/16*n^6)*p7*p1+576*(893443714590-74476314577*n+
4029936771/2*n^2-23480681*n^3+256557/2*n^4-294*n^5)*p6*p2+1728/5*(115188590-\
1681240*n+6160*n^2)*p10*p2+1728/5*(-9425130+136620*n-660*n^2)*p10*p1^2+256*(
108541845-1116900*n+3960*n^2)*p9*p3+128*(738540-7605*n+45*n^2)*p9*p1^3+216*(
112490160-757080*n+2520*n^2)*p8*p4+108*(-15655488+181440*n-576*n^2)*p8*p2^2-\
65280*p4*p1^6+36979200*p4^2*p2^2+1728/25*(-13659100+52500*n)*p5^2*p2+16441344*
p3^2*p1^4+1728/25*(1060500-6300*n)*p5^2*p1^2+6912/35*(118806030-1267735/2*n+
2695/2*n^2)*p7*p5+64*(-11253312+48384*n)*p6*p3^2+6912/11*(92833026-1523379*n+
6435*n^2)*p11*p1-169344000*p4^3-778752*p3*p2*p1^5+3456*p7*p1^5-622080*p4*p2^4+
24*(1762992-12096*n)*p6*p2^3+6144*p2^2*p1^6+259200*p4*p2^3*p1^2-3317760*p4*p3^2
*p1^2+129024*p6*p2*p1^4+69696000*p4^2*p3*p1-6480000*p4^2*p2*p1^2+55249920*p4*p3
^2*p2-5760*p4*p2^2*p1^4+55296*p7*p3^2*p1+72576*p7*p5*p1^2-472320*p7*p4*p3-\
870912*p7*p6*p1-604800*p7*p5*p2-15552*p8*p2^2*p1^2-1166400*p8*p4*p2+77760*p8*p4
*p1^2-1987200*p9*p4*p1-2165760*p9*p3*p2+138240*p9*p3*p1^2+293760*p9*p2^2*p1-\
11520*p9*p2*p1^3-1306368*p8*p5*p1-8356608*p11*p2*p1-3649536*p10*p3*p1+456192*
p10*p2*p1^2+36864*p1^8-2880*p7*p4*p1^3+52992*p7*p3*p2^2+357120*p4*p3*p2*p1^3-\
3225600*p6*p3*p1^3-10103040*p4*p3*p2^2*p1+46656*p8*p2^3+7838208*p8*p6+248832*p8
*p3*p2*p1+576/5*(-128760+720*n)*p5*p3*p2*p1^2+864/5*(1414100-4500*n)*p5*p4*p2*
p1+192*(1458912-8064*n)*p6*p3*p2*p1+288*(311689802-7808860*n+47800*n^2)*p4*p3*
p2*p1-5184*p7*p2^3*p1+576*p7*p2^2*p1^3+28800*p4^2*p1^4-1233792*p8*p1^4+4561920*
p7^2+61479378443836416/5*n^4-271505691132370944/5*n^3-803727360*p14+288*(
2745849647712-8123921487748/15*n+39719932490*n^2-4360157528/3*n^3+90578162/3*n^
4-1908604/5*n^5+8704/3*n^6-32/3*n^7)*p1^4+1152*(-46164976177320+48562786995471/
5*n-1405809498359/2*n^2+90234257323/4*n^3-1411345943/4*n^4+57449581/20*n^5-\
47439/4*n^6+21*n^7)*p6+384*(18055729621848-14161663348944/5*n+297965029751/2*n^
2-3419910620*n^3+77492647/2*n^4-1108751/5*n^5+480*n^6)*p3^2+144*(-3649641061632
+2266849628816/5*n-19855163544*n^2+410532560*n^3-4322088*n^4+97824/5*n^5)*p2^3+
48/5*(4772047200-342342400*n+7883360*n^2-67520*n^3+160*n^4)*p1^6+864*(
80281495165920-364457138536652/15*n+22979153169686/9*n^2-618246615888/5*n^3+
28093059974/9*n^4-222279516/5*n^5+3215588/9*n^6-19696/15*n^7)*p2^2+268861676544
/5*n^8-13685308305408/5*n^7-3200157696/5*n^9+22401024/5*n^10+1728*(-\
177049012969920+215770325554949/3*n-91542627656081/9*n^2+7881924922087/12*n^3-\
771005753411/36*n^4+4470322541/12*n^5-129676985/36*n^6+56014/3*n^7-40*n^8)*p4+
408400296634368/5*n^6-6855102176200704/5*n^5+576*(-783029520+13417950*n-51870*n
^2)*p12+3456/5*(-91215884760+4723119280*n-135282675/2*n^2+373945*n^3-1375/2*n^4
)*p10+18*(25472222592-1444856832*n+27242496*n^2-184320*n^3)*p2^4+9/5*(-43338240
+829440*n)*p2^5+3456/25*(21982614150-709535050*n+5181400*n^2-11550*n^3)*p5^2+
216*(1121908397680-263864722120/3*n+2081869560*n^2-56604800/3*n^3+64800*n^4)*p4
^2+864*(-3521220262560+386652596658*n-13696271514*n^2+398501517/2*n^3-2717403/2
*n^4+8487/2*n^5-9/2*n^6)*p8+96*(120445920-508032*n)*p6^2+3456*(-125155140768000
+559440216891034/5*n-496172938576682/15*n^2+392358690955799/90*n^3-\
26113107101129/90*n^4+188039155129/18*n^5-19283997683/90*n^6+117656188/45*n^7-\
836548/45*n^8+928/15*n^9)*p2+98703360*p13*p1+3456*(59032937376000-\
185767137484954/5*n+119429758359718/15*n^2-23712855296581/30*n^3+1248433484269/
30*n^4-37964975173/30*n^5+236948133/10*n^6-1406519/5*n^7+10116/5*n^8-104/15*n^9
)*p1^2-73728/5*n^11
[8, 3, 2, 2, 2, 2, 2]
8192*p2*p1^8+1158678464188907520*n-557056*p3*p1^7+3840*(-48531654112+5726292771
/2*n-109107717/2*n^2+392895*n^3-648*n^4)*p3*p2^2*p1+9216*(287557873988-\
128123100331/6*n+1032010617/2*n^2-15327862/3*n^3+21410*n^4-30*n^5)*p5*p2*p1+
506880*p10*p1^4-7680*p9*p1^5-307077120*p9*p5+7680*(325937527600-46218044849/2*n
+1022049191/2*n^2-4253325*n^3+12360*n^4)*p4*p3*p1+5760*(-47848349776+3187515326
*n-70214390*n^2+621840*n^3-1920*n^4)*p4*p2*p1^2+2880*(313498671744-19990122354*
n+405801354*n^2-3259920*n^3+8640*n^4)*p4*p2^2+120*(-11496384+207360*n)*p2^4*p1^
2+5120*(-913562217876+1162242707909/10*n-21642908637/4*n^2+119632717*n^3-\
5381623/4*n^4+72391/10*n^5-12*n^6)*p3*p1^3+80*(1550016-27648*n)*p2^3*p1^4+16*(-\
154080+2304*n)*p2^2*p1^6+92160/7*(-1268257064508+729764322679/6*n-92331896587/
24*n^2+805928487/16*n^3-14088781/48*n^4+35371/48*n^5-7/16*n^6)*p7*p1+7680*(-\
1600168855992+132831607510*n-3460309370*n^2+36749888*n^3-175756*n^4+336*n^5)*p6
*p2+7680*(242406956736-20505236136*n+587207439*n^2-7193886*n^3+39291*n^4-84*n^5
)*p6*p1^2+6144*(-1909327957320+151470843556*n-3572518842*n^2+31379826*n^3-\
113284*n^4+120*n^5)*p5*p3+3072*(-42940984560+6428590335/2*n-82473567*n^2+
1832195/2*n^3-8975/2*n^4+15/2*n^5)*p5*p1^3+11520*(4614663682096-678823373586*n+
35871467645*n^2-885128907*n^3+11038822*n^4-68163*n^5+165*n^6)*p4*p1^2+960*(
6920754304-454690426*n+10191994*n^2-96960*n^3+360*n^4)*p4*p1^4+15360*(
5723697210776-11588397199388/15*n+109348107286/3*n^2-4691579887/6*n^3+49427365/
6*n^4-403183/10*n^5+105/2*n^6)*p3*p2*p1+2560*(332851057248-20261021674*n+
383137910*n^2-2793124*n^3+5856*n^4)*p3^2*p2+2560*(-50851011776+3266742922*n-\
67772566*n^2+541764*n^3-1344*n^4)*p3^2*p1^2+256*(-986486120+112059527/2*n-\
2133569/2*n^2+8451*n^3-24*n^4)*p3*p1^5+960*(6934717296-386983548*n+7019244*n^2-\
44064*n^3)*p2^3*p1^2+480*(-982481824+53497968*n-960048*n^2+6144*n^3)*p2^2*p1^4+
2560*(7223179440-864650603/2*n+17194489/2*n^2-66811*n^3+138*n^4)*p3*p2*p1^3+64*
(122240208-5929516*n+92636*n^2-544*n^3)*p2*p1^6+18432*(-20232749992560+
3523390816541*n-2579587254637/12*n^2+142895600221/24*n^3-488280067/6*n^4+
6693931/12*n^5-7115/4*n^6+15/8*n^7)*p5*p1+11520*(-27742623450912+13337944451524
/3*n-716138242952/3*n^2+16632280388/3*n^3-185788384/3*n^4+339940*n^5-700*n^6)*
p4*p2-6912000*p4^2*p1^4+5760*(-998260615872+594499549572/5*n-5131913500*n^2+
104128472*n^3-1044544*n^4+21888/5*n^5)*p2^2*p1^2+1920*(154704269504-\
262079365316/15*n+2198182912/3*n^2-44146616/3*n^3+444572/3*n^4-3168/5*n^5)*p2*
p1^4+30720*(-103318833352176+98432140058317/3*n-441531250403951/120*n^2+
46253707134473/240*n^3-252065971715/48*n^4+3759402073/48*n^5-153749203/240*n^6+
103807/40*n^7-3*n^8)*p3*p1+23040*(28455411042144-36142399528972/5*n+
10052743705831/15*n^2-60413583549/2*n^3+4438019875/6*n^4-102745471/10*n^5+
2361923/30*n^6-268*n^7)*p2*p1^2+92160/11*(-252167916+8471463/2*n-27027/2*n^2)*
p11*p1+4608*(-215055720+2983090*n-9130*n^2)*p10*p2+2880*(-222992640+1412460*n-\
3420*n^2)*p8*p4+86016*p6*p1^6+1440*(27674496-296676*n+756*n^2)*p8*p2^2+2560/3*(
607824-4032*n)*p6*p3*p1^3+960*(543312-4032*n)*p6*p2^2*p1^2+320*(-76440+672*n)*
p6*p2*p1^4+1536*(20320920-30600*n)*p5*p4*p3+768*(586200-1800*n)*p5*p4*p1^3+1024
*(-3043680+7200*n)*p5*p3^2*p1+768*(-2452008+6840*n)*p5*p3*p2^2+17141760*p3^2*p2
^3-7741440*p8*p3*p2*p1+256*(-63480+360*n)*p5*p3*p1^4+384*(376380-1620*n)*p5*p2^
3*p1-501811200*p10*p4-16773120*p11*p1^3-9216*p3*p2^2*p1^5-838656000*p11*p3+4608
/5*(24818640-65520*n)*p5^2*p2+4608/5*(-4844000+16800*n)*p5^2*p1^2+2560/3*(
21551040-80640*n)*p6*p3^2+768*p7*p2*p1^5+384*(-63480+360*n)*p5*p2^2*p1^3+320*(-\
2934792+18144*n)*p6*p2^3+768/7*(-71260+1435/2*n-7/2*n^2)*p7*p1^5+480*(714816-\
9684*n+36*n^2)*p8*p1^4+18432/7*(-233687160+1033865*n-1421*n^2)*p7*p5+4608*(
39424880-647570*n+2090*n^2)*p10*p1^2+384/5*(7220-60*n)*p5*p2*p1^5+10240/3*(-\
212548320+2082195*n-5895*n^2)*p9*p3+5120/3*(-5670000+175005/2*n-585/2*n^2)*p9*
p1^3+1536*(464240-1680*n)*p5*p3*p2*p1^2+30720/7*(-36344721924+1240115674*n-\
10340008*n^2+32998*n^3-28*n^4)*p7*p3+2304*(-3482980+7500*n)*p5*p4*p2*p1+2560*(-\
3616032+18816*n)*p6*p3*p2*p1+15360/7*(-792681456+62548311/2*n-1494073/4*n^2+
3325/2*n^3-7/4*n^4)*p7*p1^3+3840*(-40309746120+1296503250*n-8564850*n^2+15960*n
^3)*p6*p4+1920*(4930777320-149824038*n+1231398*n^2-3528*n^3)*p6*p2^2+768/5*(-\
14341010+398465*n-3560*n^2+15*n^3)*p5*p1^5-72990720*p7^2-31641600*p4*p3*p2*p1^3
+284774400*p4*p3*p2^2*p1+430080*p7*p3*p2*p1^2-2880000*p7*p4*p2*p1+640*(-\
13222116+281232*n-936*n^2)*p3*p2^2*p1^3+1280*(118014756-3090000*n+18120*n^2)*p4
*p3*p1^3+1440*(5348466000-133166400*n+676800*n^2)*p4^2*p2+46080/7*(5197005674-\
570901079/3*n+1970836*n^2-23044/3*n^3+7*n^4)*p7*p2*p1+5120*(5810711844-\
186990804*n+1454796*n^2-3696*n^3)*p6*p3*p1+1440*(-897166560+25273200*n-145200*n
^2)*p4^2*p1^2+3840*(-808378704+27124902*n-255990*n^2+840*n^3)*p6*p2*p1^2+4608*(
6239658490-189889375*n+1188520*n^2-1425*n^3)*p5*p4*p1+1280*(5221145640-\
117498000*n+557760*n^2)*p4*p3^2+3072*(5200318896-136737286*n+844552*n^2-1290*n^
3)*p5*p3*p2+3072*(-868848032+25701590*n-181760*n^2+330*n^3)*p5*p3*p1^2+3840*(-\
762470398+18550560*n-92820*n^2)*p4*p3*p2*p1+480*(-637004952+14536800*n-64800*n^
2)*p4*p2^3+2304*(-752361910+20981589*n-148920*n^2+315*n^3)*p5*p2^2*p1+1536*(
115334268-3435445*n+28360*n^2-75*n^3)*p5*p2*p1^3+1440*(105091536-2586600*n+
13320*n^2)*p4*p2^2*p1^2+480*(-14496136+359280*n-2160*n^2)*p4*p2*p1^4+1280*(
103131088-2330832*n+9840*n^2)*p3^2*p2*p1^2+640*(87567858-1786320*n+4860*n^2)*p3
*p2^3*p1+128*(1552726-30336*n+132*n^2)*p3*p2*p1^5+5120/9*(-745576560+16555104*n
-72576*n^2)*p3^3*p1+640*(-617611608+12895056*n-46368*n^2)*p3^2*p2^2+640/3*(-\
14216520+324432*n-1728*n^2)*p3^2*p1^4+5120*(34382520-919125/2*n+2745/2*n^2)*p9*
p2*p1+3840*(33528960-308088*n+792*n^2)*p8*p3*p1+2880*(-5101824+63684*n-180*n^2)
*p8*p2*p1^2+23040/7*(34406260-379925/2*n+665/2*n^2)*p7*p4*p1+15360/7*(25315416-\
174433*n+301*n^2)*p7*p3*p2+15360/7*(-4835152+39809*n-77*n^2)*p7*p3*p1^2+11520/7
*(-4101916+77847/2*n-147/2*n^2)*p7*p2^2*p1+7680/7*(678888-15071/2*n+35/2*n^2)*
p7*p2*p1^3+3072*(35232792-131880*n)*p6*p5*p1+12441600*p4*p2^4+1920*(24715320-\
84000*n)*p6*p4*p2+1920*(-4793040+20160*n)*p6*p4*p1^2+25920000*p8*p4*p2-6220800*
p8*p4*p1^2+552960*p8*p3*p1^3+4561920000*p4^3-78643200*p3^4+32*(1411200-24600*n+
120*n^2)*p4*p1^6+640*(114407832-3924270*n+41454*n^2-168*n^3)*p6*p1^4+10240*(-\
29757445920+1421233410*n-18956115*n^2+89790*n^3-135*n^4)*p9*p1+5760*(-\
31456241856+1228455072*n-13432776*n^2+56544*n^3-72*n^4)*p8*p2+5760*(5010108384-\
219412236*n+2816310*n^2-13068*n^3+18*n^4)*p8*p1^2-15360*p7*p3*p1^4+103680*p7*p2
^3*p1-23040*p7*p2^2*p1^3+276756480*p11*p2*p1+145981440*p10*p3*p1-22302720*p10*
p2*p1^2+84096000*p9*p4*p1+51916800*p9*p3*p2-11673600*p9*p3*p1^2-8640000*p9*p2^2
*p1+1075200*p9*p2*p1^3+46448640*p8*p5*p1+19353600*p7*p6*p1+10063872*p7*p5*p2-\
2580480*p7*p5*p1^2+7833600*p7*p4*p3+230400*p7*p4*p1^3-1228800*p7*p3^2*p1-875520
*p7*p3*p2^2-7680*p4*p2*p1^6+69795840*p3^3*p2*p1-9584640*p3^2*p2^2*p1^2+430080*
p3^2*p2*p1^4-1244160*p3*p2^4*p1+276480*p3*p2^3*p1^3+622080*p8*p2^2*p1^2-34560*
p8*p2*p1^4-2750976000*p4^2*p3*p1+314496000*p4^2*p2*p1^2-1256448000*p4*p3^2*p2+
243302400*p4*p3^2*p1^2+276480*p4*p3*p1^5-9331200*p4*p2^3*p1^2+691200*p4*p2^2*p1
^4-174182400*p8*p6-3948134400*p13*p1-1576673280*p12*p2+1085444424281341952*n^3-\
247432030095335424*n^4-1637234176229376*n^6+27666361485262848*n^5-995121340416*
n^8+53500204154880*n^7-68124672*n^10+10855432192*n^9+21432729600*p14+11520*(
6186695074560-683645368392*n+23862281523*n^2-650898153/2*n^3+3916161/2*n^4-\
10551/2*n^5+9/2*n^6)*p8+9216*(169240191120-8730723430*n+117960810*n^2-562980*n^
3+880*n^4)*p10+2880*(-2023505651520+159132689580*n-3653419260*n^2+29628000*n^3-\
86400*n^4)*p4^2+240*(-45058876992+2445937344*n-42634944*n^2+255744*n^3)*p2^4+16
/7*(-11648000+367360*n-1792*n^2)*p1^8+15360*(76830623709840-16343734261134*n+
2370395758829/2*n^2-149239538091/4*n^3+2194735711/4*n^4-15973713/4*n^5+57295/4*
n^6-21*n^7)*p6+5120*(-30779194671936+4877512897240*n-255299568164*n^2+
5635710908*n^3-57909080*n^4+284200*n^5-456*n^6)*p3^2+1280*(-237208608+846720*n)
*p6^2+9216/5*(-41777091720+1325841580*n-8165920*n^2+12180*n^3)*p5^2+1920*(
6333823206720-3924253302084/5*n+33455819268*n^2-650613600*n^3+6225696*n^4-\
124416/5*n^5)*p2^3+23040*(280576238080320-115362491107652*n+98766001138505/6*n^
2-4251350976297/4*n^3+407687108299/12*n^4-2235702607/4*n^5+58733779/12*n^6-\
22298*n^7+40*n^8)*p4+3840*(-5665487423040+18796866391544/15*n-1579079975836/15*
n^2+66914992544/15*n^3-317773844/3*n^4+21861656/15*n^5-167824/15*n^6+192/5*n^7)
*p1^4+46080*(190607878339200-2581592248458088/15*n+2314046621442889/45*n^2-\
614535000322699/90*n^3+40852981717091/90*n^4-288721434329/18*n^5+28218181907/90
*n^6-158685068/45*n^7+338764/15*n^8-992/15*n^9)*p2+7680*(1523733120-25476360*n+
80808*n^2)*p12+11059200*p8*p3^2-933120*p8*p2^3+53222400*p10*p2^2+335462400*p12*
p1^2-3932160*p3^3*p1^3-829440000*p4^2*p2^2+196608*n^11+24*(71642880-1244160*n)*
p2^5-2022772501554266112*n^2+46080*(-92003591836800+891146852631976/15*n-\
65862980533073/5*n^2+8192250072193/6*n^3-2266902194179/30*n^4+24076294859/10*n^
5-461650309/10*n^6+1615553/3*n^7-54508/15*n^8+56/5*n^9)*p1^2+11520*(-\
129726689482368+596638183042304/15*n-63053397683224/15*n^2+3022752429244/15*n^3
-14688084076/3*n^4+323998812/5*n^5-2355172/5*n^6+7632/5*n^7)*p2^2+128*(-\
23089931520+2418890820*n-94170076*n^2+1741704*n^3-16032*n^4+64*n^5)*p1^6
[8, 2, 2, 2, 2, 2, 2, 2]
-24081752642656665600*n-10240*p4*p1^8+85972992000*p4^2*p3*p1-12288*p3*p2*p1^7-\
9212313600*p4*p3*p2^2*p1+32290406400*p4*p3^2*p2-9301196800*p4*p3^2*p1^2+
23224320000*p4^2*p2^2-13450752000*p4^2*p2*p1^2+1835008000*p3^4-348364800*p4*p2^
4+634368000*p4^2*p1^4+1505280*p4*p2*p1^6+377395200*p4*p2^3*p1^2-1995571200*p3^3
*p2*p1+1698816000*p4*p3*p2*p1^3+183500800*p3^3*p1^3+32768/3*p1^10+340623360*p3^
2*p2^2*p1^2-418037760*p3^2*p2^3+458752*p3^2*p1^6+34836480*p3*p2^4*p1-\
117411840000*p4^3+774144*p3*p2^2*p1^5-45015040*p4*p3*p1^5+86016*(-9582860+10500
*n)*p5*p4*p3+43008*(-628670+1050*n)*p5*p4*p1^3+161280*(4108248-51516*n+108*n^2)
*p8*p2*p1^2+184320*(-20792665+190365/2*n-245/2*n^2)*p7*p4*p1+122880*(-13050634+
81333*n-105*n^2)*p7*p3*p2+122880*(3749914-26971*n+35*n^2)*p7*p3*p1^2+92160*(
2697723-48447/2*n+63/2*n^2)*p7*p2^2*p1+61440*(-731983+16065/2*n-21/2*n^2)*p7*p2
*p1^3+232243200*p8*p3*p2*p1-48384000*p4*p2^2*p1^4-11612160*p3*p2^3*p1^3+57344*(
1739752-3000*n)*p5*p3^2*p1+43008*(1247652-2700*n)*p5*p3*p2^2+14336*(98980-300*n
)*p5*p3*p1^4+21504*(-240030+810*n)*p5*p2^3*p1+21504*(64890-270*n)*p5*p2^2*p1^3-\
29245440*p3^2*p2*p1^4+21504/5*(-16590+90*n)*p5*p2*p1^5+172032*(-21369684+56196*
n)*p6*p5*p1+107520*(-12641580+35280*n)*p6*p4*p2+107520*(3750180-11760*n)*p6*p4*
p1^2+143360/3*(-642600+3360*n)*p6*p3*p1^3+53760*(-446796+3024*n)*p6*p2^2*p1^2+
17920*(118692-1008*n)*p6*p2*p1^4-12902400*p7*p3*p2*p1^2+67737600*p7*p4*p2*p1+
286720*(-21734955+583605/2*n-1485/2*n^2)*p9*p2*p1+215040*(-20328144+173736*n-\
360*n^2)*p8*p3*p1+516096*(-147371857031+11403361285*n-1127470985/4*n^2+10962761
/4*n^3-42105/4*n^4+45/4*n^5)*p5*p2*p1+430080*(-166154147091+73313900759/6*n-\
545372415/2*n^2+6426935/3*n^3-5410*n^4)*p4*p3*p1+322560*(28538399412-2030952494
*n+46534892*n^2-401420*n^3+1110*n^4)*p4*p2*p1^2+215040*(26352305057-3216999495/
2*n+61306053/2*n^2-204855*n^3+270*n^4)*p3*p2^2*p1+143360*(-5154284753+675586653
/2*n-14132569/2*n^2+51659*n^3-81*n^4)*p3*p2*p1^3+860160*(-2637958992323+
4455028574249/12*n-145591738283/8*n^2+2393196395/6*n^3-33115817/8*n^4+75091/4*n
^5-39/2*n^6)*p3*p2*p1+35840*(-54594081+1047006*n-2268*n^2)*p3*p2^3*p1+35840*(
12256251-255294*n+648*n^2)*p3*p2^2*p1^3+7168*(-2590009+57990*n-180*n^2)*p3*p2*
p1^5+71680*(-74858164+1637688*n-5328*n^2)*p3^2*p2*p1^2+71680*(-104201905+
2884090*n-13960*n^2)*p4*p3*p1^3+80640*(-77850372+1928520*n-9000*n^2)*p4*p2^2*p1
^2+26880*(17169724-476400*n+2640*n^2)*p4*p2*p1^4+258048*(-3527074243+107870685*
n-596260*n^2+525*n^3)*p5*p4*p1+172032*(-2579618524+66697950*n-372120*n^2+450*n^
3)*p5*p3*p2+172032*(601880860-18304930*n+113528*n^2-150*n^3)*p5*p3*p1^2+129024*
(455267169-12782655*n+84420*n^2-135*n^3)*p5*p2^2*p1+86016*(-102320239+3279693*n
-25440*n^2+45*n^3)*p5*p2*p1^3+215040*(565442976-19920810*n+183834*n^2-504*n^3)*
p6*p2*p1^2+286720*(-3283671930+106513512*n-767844*n^2+1680*n^3)*p6*p3*p1+368640
*(-2976173498+447775747/4*n-9158275/8*n^2+15953/4*n^3-21/8*n^4)*p7*p2*p1+258048
/5*(3792600-7560*n)*p5^2*p1^2+1024/5*(3850-30*n)*p5*p1^7+6144*(188335-5327/2*n+
7/2*n^2)*p7*p1^5+143360/3*(-10435824+33600*n)*p6*p3^2+17920*(1612548-9072*n)*p6
*p2^3+3584/3*(-29484+336*n)*p6*p1^6+258048/5*(-12647880+22680*n)*p5^2*p2+26880*
(-1079736+17028*n-36*n^2)*p8*p1^4+147456*(114191490-397161*n+441*n^2)*p7*p5+
80640*(-14940504+155844*n-324*n^2)*p8*p2^2+71680*(-2523227140+54337000*n-223360
*n^2)*p4*p3^2+573440*(16056878013-3165798405/4*n+84212865/8*n^2-189915/4*n^3+
495/8*n^4)*p9*p1+322560*(15179077320-597859938*n+6469461*n^2-25470*n^3+27*n^4)*
p8*p2+322560*(-3246359688+151601790*n-1977303*n^2+8418*n^3-9*n^4)*p8*p1^2+
245760*(17245643016-3498056855/6*n+18515437/4*n^2-80353/6*n^3+35/4*n^4)*p7*p3+
122880*(640594284-336814135/12*n+2787281/8*n^2-15869/12*n^3+7/8*n^4)*p7*p1^3+
215040*(19095152496-605576370*n+3675210*n^2-5880*n^3)*p6*p4+107520*(-2497676328
+76186278*n-602910*n^2+1512*n^3)*p6*p2^2+35840*(-121739352+4919334*n-55566*n^2+
168*n^3)*p6*p1^4-25804800*p8*p3*p1^3-26127360*p8*p2^2*p1^2+2903040*p8*p2*p1^4-\
397393920*p7*p6*p1-195084288*p7*p5*p2+65028096*p7*p5*p1^2-150528000*p7*p4*p3-\
7526400*p7*p4*p1^3+28672000*p7*p3^2*p1+19353600*p7*p3*p2^2+716800*p7*p3*p1^4-\
2903040*p7*p2^3*p1+967680*p7*p2^2*p1^3-64512*p7*p2*p1^5-10567065600*p11*p2*p1-\
4920115200*p10*p3*p1+1107025920*p10*p2*p1^2-2483712000*p9*p4*p1-1419264000*p9*
p3*p2+473088000*p9*p3*p1^2+319334400*p9*p2^2*p1-70963200*p9*p2*p1^3+258048*(-\
29909880+504790*n-1430*n^2)*p10*p1^2+573440/3*(104919210-986535*n+2475*n^2)*p9*
p3+286720/3*(5799915-192555/2*n+495/2*n^2)*p9*p1^3+161280*(109049160-616140*n+
1260*n^2)*p8*p4+5160960/11*(150194187-5036031/2*n+15015/2*n^2)*p11*p1+258048*(
110693440-1531530*n+4290*n^2)*p10*p2+645120*(-2221825445676+1040492144221/3*n-\
116972596757/6*n^2+1521721036/3*n^3-12934867/2*n^4+114979/3*n^5-245/3*n^6)*p4*
p1^2+286720*(492905776515-817721473991/12*n+82943779859/24*n^2-82204516*n^3+
22857373/24*n^4-57457/12*n^5+6*n^6)*p3*p1^3+322560*(513581157480-326488237784/5
*n+2995923382*n^2-63323332*n^3+632550*n^4-12336/5*n^5)*p2^2*p1^2+107520*(-\
96089950664+181502220784/15*n-567494506*n^2+37665628/3*n^3-132394*n^4+2672/5*n^
5)*p2*p1^4+1720320*(42182052800922-275360090040623/20*n+286846000884533/180*n^2
-1381597256353/16*n^3+349095309229/144*n^4-8782194799/240*n^5+210377003/720*n^6
-26195/24*n^7+n^8)*p3*p1+1290240*(-12261590657856+48912743347342/15*n-\
1593934479038/5*n^2+455990821589/30*n^3-2349088991/6*n^4+168147431/30*n^5-\
1274657/30*n^6+676/5*n^7)*p2*p1^2+161280*(-147380596236+9562541346*n-194098146*
n^2+1492080*n^3-3600*n^4)*p4*p2^2+53760*(-5468298684+1235350126/3*n-10446894*n^
2+313640/3*n^3-340*n^4)*p4*p1^4+143360*(-155189971388+9546436962*n-178101626*n^
2+1201340*n^3-2052*n^4)*p3^2*p2+143360*(30195946508-6188600050/3*n+43838602*n^2
-970388/3*n^3+624*n^4)*p3^2*p1^2+14336*(989601125-405272237/6*n+3031529/2*n^2-\
37097/3*n^3+24*n^4)*p3*p1^5+53760*(-4467011544+263198412*n-4819932*n^2+27936*n^
3)*p2^3*p1^2+26880*(868376864-53330352*n+1026192*n^2-6144*n^3)*p2^2*p1^4+3584*(
-164232536+10195980*n-198620*n^2+1184*n^3)*p2*p1^6+344064*(856671026400-\
205740202801/3*n+3209350909/2*n^2-80893369/6*n^3+87983/2*n^4-75/2*n^5)*p5*p3+
172032*(27900848451-6915968113/3*n+258105875/4*n^2-8884433/12*n^3+13075/4*n^4-\
15/4*n^5)*p5*p1^3+737280*(615174662991-737182707613/12*n+12024816977/6*n^2-\
1262093527/48*n^3+7062601/48*n^4-15757/48*n^5+7/48*n^6)*p7*p1+430080*(
722466246684-60893321769*n+3191723787/2*n^2-16719591*n^3+151473/2*n^4-126*n^5)*
p6*p2+430080*(-134132891844+12146163295*n-737090753/2*n^2+4598825*n^3-47299/2*n
^4+42*n^5)*p6*p1^2+26880*(335549196-7430400*n+30240*n^2)*p4*p2^3+1792*(-3566068
+108760*n-760*n^2)*p4*p1^6+286720/9*(431743620-9075528*n+31680*n^2)*p3^3*p1+
35840*(317573340-6235416*n+18144*n^2)*p3^2*p2^2+35840/3*(16763196-413688*n+1536
*n^2)*p3^2*p1^4+1024/3*(505155-11670*n+48*n^2)*p3*p1^7+6720*(8744544-145152*n)*
p2^4*p1^2+4480*(-1839024+31104*n)*p2^3*p1^4+896*(355344-5760*n)*p2^2*p1^6+64*(-\
60064+768*n)*p2*p1^8+43008/5*(21826945-789415*n+7580*n^2-15*n^3)*p5*p1^5+80640*
(-2647526280+64646400*n-292800*n^2)*p4^2*p2+80640*(622861560-18081200*n+89200*n
^2)*p4^2*p1^2-593089275795996672*n^5+35348219473559552*n^6-600116428800*p14-\
1157779518128128*n^7+21405930422272*n^8-686780186624/3*n^9+1374420992*n^10-\
3670016*n^11+1032192*(8916232338171-96603974283977/60*n+2447806685207/24*n^2-\
69908737331/24*n^3+962482535/24*n^4-7970719/30*n^5+9205/12*n^6-5/8*n^7)*p5*p1+
143360*(2263464-10080*n)*p6*p3*p2*p1+129024*(2153130-3150*n)*p5*p4*p2*p1+86016*
(-356412+900*n)*p5*p3*p2*p1^2+645120*(11774446334252-1920380209773*n+
208976999373/2*n^2-2437469975*n^3+53706131/2*n^4-140104*n^5+260*n^6)*p4*p2+
215040*(452325475-10799850*n+46740*n^2)*p4*p3*p2*p1+1265172480*p7^2+71680*(
116148816-310464*n)*p6^2+430080*(-740703600+12130248*n-37128*n^2)*p12+2580480*(
35666123698800-353345208916634/15*n+48412692232262/9*n^2-52074375303097/90*n^3+
3011877588757/90*n^4-11179583193/10*n^5+402303323/18*n^6-1334221/5*n^7+80044/45
*n^8-232/45*n^9)*p1^2+645120*(-2701557658800+302159148962*n-10578337002*n^2+
284701931/2*n^3-1662489/2*n^4+4161/2*n^5-3/2*n^6)*p8+1344*(-39139200+622080*n)*
p2^5+516096/5*(19788108060-618109380*n+3407760*n^2-3780*n^3)*p5^2+13440*(
22386246048-1235507904*n+21180096*n^2-117504*n^3)*p2^4+516096*(-78218300160+
12132519685/3*n-107383705/2*n^2+745745/3*n^3-715/2*n^4)*p10+645120*(
52198832738736-81447912595692/5*n+8754259629462/5*n^2-425799427232/5*n^3+
2088163062*n^4-137744068/5*n^5+970428/5*n^6-2928/5*n^7)*p2^2+107520*(-\
2784178306776+1765507417812/5*n-15350184972*n^2+300540816*n^3-2803752*n^4+52128
/5*n^5)*p2^3+286720*(13038441349044-6296827013831/3*n+665349700439/6*n^2-\
2438325232*n^3+145887073/6*n^4-330061/3*n^5+144*n^6)*p3^2+161280*(907480008680-\
71969726220*n+1635539180*n^2-12583200*n^3+32800*n^4)*p4^2+1290240*(-\
110737780662600+46167898448581*n-20037209856757/3*n^2+1744137546987/4*n^3-\
56009819097/4*n^4+2744486827/12*n^5-23409169/12*n^6+25082/3*n^7-40/3*n^8)*p4+
7168*(18063396216-33478172188/15*n+313426324/3*n^2-2330824*n^3+74240/3*n^4-1472
/15*n^5)*p1^6+128*(29928416-5420608/3*n+33280*n^2-512/3*n^3)*p1^8+860160*(-\
31781887857720+34311338350472/5*n-1006842731097/2*n^2+63636417901/4*n^3-\
926505377/4*n^4+32744187/20*n^5-21973/4*n^6+7*n^7)*p6-1170505728*p8*p5*p1+
215040*(2697675767856-3216804359668/5*n+2651793043586/45*n^2-13716127248/5*n^3+
643445734/9*n^4-15928276/15*n^5+379424/45*n^6-416/15*n^7)*p1^4-609638400*p8*p4*
p2+2580480*(-72488892697200+992075694948346/15*n-100066414443474/5*n^2+
26920299007401/10*n^3-361970711471/2*n^4+64421351843/10*n^5-3778224251/30*n^6+
20980396/15*n^7-25876/3*n^8+352/15*n^9)*p2-61501440*p10*p1^4+203212800*p8*p4*p1
^2+7153090560*p9*p5+1174118400*p11*p1^3+23482368000*p11*p3-1660538880*p10*p2^2+
12915302400*p10*p4+3576545280*p8*p6+140027166720*p13*p1-258048000*p8*p3^2-\
15968010240*p12*p1^2+47904030720*p12*p2-64512*p8*p1^6+26127360*p8*p2^3+2365440*
p9*p1^5+1024*p7*p1^7+42219839366459293696*n^2+5255000479257919488*n^4-\
68502628636783280128/3*n^3
[7, 7, 3]
10446614427690*n-1323*p6*p2^3-2352*p6*p3*p2*p1+42336*p7*p3*p2+51597*p8*p2^2+
21168*p8*p3*p1+32340*p9*p2*p1+16464*p6*p3^2+24696*p6*p5*p1+18522*p5^2*p2-642096
*p11*p1-197568*p5*p3*p1^2-905520*p9*p3-629748*p5*p2^2*p1-419832*p3^2*p2^2-\
131712*p3^3*p1+49/8*(14280-240*n)*p6*p4*p2+49/4*(-15972432+459024*n-2448*n^2)*
p3*p2^2*p1+49/6*(218304-4032*n)*p3*p2*p1^3+49*(5360082624-513853292*n+14914090*
n^2-147148*n^3+350*n^4)*p3*p2*p1+147/5*(139303500-6007680*n+58800*n^2)*p5*p2*p1
+49/2*(152214552-6048840*n+56520*n^2-240*n^3)*p4*p3*p1+147/8*(-7190400+166480*n
-1120*n^2)*p4*p2*p1^2+147/10*(1029000-8400*n)*p5*p4*p1+49/5*(2775780-35280*n)*
p5*p3*p2+49/3*(1074024-16200*n+72*n^2)*p6*p3*p1+49/4*(-27600+336*n)*p6*p2*p1^2+
21*(1034712-14112*n)*p7*p2*p1-889056*p7*p5+147*p6^2*p2-2646*p8*p6-1911*p12*p2+
147/10*(-115500+1320*n)*p10*p2+147/16*(-115920+1440*n)*p8*p4+147/8*(292608-2016
*n)*p8*p1^2+14*(-25824960+636552*n-1512*n^2)*p7*p3+49/4*(-31625328+1034250*n-\
12870*n^2+60*n^3)*p6*p4+294/5*(-24238747680+3234078820*n-273200095/2*n^2+
2189075*n^3-22295/2*n^4)*p5*p1+147/4*(-41020124208+17451699229/3*n-1668980773/6
*n^2+5959580*n^3-389555/6*n^4+875/3*n^5)*p4*p2+147/4*(3249281952-288640744*n+
7437260*n^2-65420*n^3+280*n^4)*p4*p1^2+49/3*(-285090624+15278400*n-210816*n^2+
1008*n^3)*p3*p1^3+147/8*(-476729568+31009504*n-564328*n^2+2856*n^3)*p2^2*p1^2+
49/8*(15584112-476448*n+4704*n^2)*p2*p1^4+98*(-184438969344+247860225239/5*n-\
8892001741/2*n^2+340865463/2*n^3-2897897*n^4+190127/10*n^5-49/2*n^6)*p3*p1+147/
32*(3490200-89600*n+800*n^2)*p4^2*p2+49/12*(2469600-20160*n)*p4*p3^2+49/32*(-\
347760+4320*n)*p4*p2^3+42*(-859487832+53732574*n-904302*n^2+3528*n^3)*p7*p1+49/
2*(-1738860708+126281801*n-5923457/2*n^2+29143*n^3-175/2*n^4)*p6*p2+49/2*(
64406496-2336892*n+19920*n^2-84*n^3)*p6*p1^2+98/5*(-2030805000+134096445*n-\
2378565*n^2+8820*n^3)*p5*p3+49/8*(3316992-86532*n+612*n^2)*p6*p2^2+98/3*(-\
9036720+208395*n-495*n^2)*p9*p1+147/8*(-24258276+817632*n-7632*n^2)*p8*p2+147/2
*(38303672064-21700981348/3*n+1332188866/3*n^2-33429295/3*n^3+344330/3*n^4-1225
/3*n^5)*p2*p1^2+49/5*(-2651040+35280*n)*p5*p1^3+147/16*(293189568-16501100*n+
309860*n^2-2040*n^3)*p4*p2^2+49/6*(286915356-12979008*n+127008*n^2)*p3^2*p2+49/
6*(-7047936+157824*n-576*n^2)*p3^2*p1^2+49/16*(623808-6048*n)*p2^3*p1^2+9408*p3
^2*p2*p1^2+10584*p3*p2^3*p1+35280*p14+11907/4*p2^5-142553025997529/8*n^2-\
4314273998713/384*n^6+392440065139241/1920*n^5-5843551399/960*n^8+329483769097/
960*n^7+49/2*(982800-16419*n+39*n^2)*p12+49/12*(-185472+4050*n-18*n^2)*p6^2+147
/4*(7791841200-756985143*n+23400150*n^2-289554*n^3+1407*n^4)*p8+147/25*(-\
30693600+751275*n-1575*n^2)*p5^2+49*(128406358080-122349544856/5*n+6310366561/4
*n^2-354251997/8*n^3+4715589/8*n^4-148967/40*n^5+49/8*n^6)*p6+49/8*(8147447568-\
890742966*n+33991755*n^2-595890*n^3+4221*n^4)*p2^3+147/4*(-249507616512+
1033888719938/15*n-39154303165/6*n^2+1126572231/4*n^3-75601021/12*n^4+4671583/
60*n^5-1715/4*n^6)*p2^2+49/4*(-4099398912+496454892*n-17567364*n^2+219072*n^3-\
1176*n^4)*p1^4+147/16*(-2209068960+154672070*n-3529750*n^2+39400*n^3-200*n^4)*
p4^2-78445392193259/40*n^4+1462424105560453/160*n^3+121800329/1920*n^9-117649/
384*n^10+49/4*(-77280+960*n)*p4*p3*p2*p1+147/5*(153993840-6995835*n+89265*n^2-\
330*n^3)*p10+147/2*(592370688000-670478059685/3*n+346666576565/12*n^2-\
13427601103/8*n^3+1163212067/24*n^4-17672737/24*n^5+48433/8*n^6-245/12*n^7)*p4+
49/3*(-45226702080+6234238311*n-274539909*n^2+4594044*n^3-23226*n^4)*p3^2+49/64
*(-36650880+1661688*n-20088*n^2)*p2^4+147*(481097318400-8198635095233/20*n+
27252750342773/240*n^2-3316219089533/240*n^3+482336475253/576*n^4-813368483/30*
n^5+713767957/1440*n^6-420469/80*n^7+14749/576*n^8)*p2+147*(-211825152000+
1816101289132/15*n-112917344123/5*n^2+5489804119/3*n^3-283002383/4*n^4+78872017
/60*n^5-214473/20*n^6+343/12*n^7)*p1^2
[7, 7, 2, 2]
-525309460186112/3*n+28224*p7*p2^2*p1+106624*p7*p3*p1^2+52920*p8*p2*p1^2+43120*
p9*p1^3+5292*p6*p2^3+75264*p6*p3*p2*p1+24696*p5^2*p1^2-1940400*p9*p2*p1-696192*
p7*p3*p2-317520*p8*p2^2-2257920*p8*p3*p1-74088*p5^2*p2-219520*p6*p3^2+5136768*
p3^2*p2^2+7902720*p3^3*p1+49/3*(-39060+360*n)*p6*p4*p2+49/3*(7980-120*n)*p6*p4*
p1^2+392/15*(-101640+1260*n)*p6*p5*p1+28*(-98000+1120*n)*p7*p4*p1+98/3*(
178989048-5851296*n+35208*n^2)*p3*p2^2*p1+196/9*(-14310936+404424*n-1512*n^2)*
p3*p2*p1^3+392/3*(-49627702108+5305798202*n-176910810*n^2+2115450*n^3-7602*n^4)
*p3*p2*p1+98/9*(-126000+1440*n)*p4*p3*p1^3+49/4*(-63000+720*n)*p4*p2^2*p1^2+392
/9*(-22367352+498528*n-1836*n^2)*p6*p3*p1+98/3*(1337520-23118*n+126*n^2)*p6*p2*
p1^2+196/5*(-25778900+647500*n-4200*n^2)*p5*p4*p1+392/15*(-17570070+158760*n)*
p5*p3*p2+392/15*(1848210-27720*n)*p5*p3*p1^2+98/5*(1086120-7560*n)*p5*p2^2*p1+
56*(-16649164+363944*n-1176*n^2)*p7*p2*p1+392/5*(-1646987650+88091570*n-1248660
*n^2+4410*n^3)*p5*p2*p1+196/3*(-1994286140+107677360*n-1555500*n^2+6120*n^3)*p4
*p3*p1+49*(177849280-7508790*n+84410*n^2-420*n^3)*p4*p2*p1^2+784/11*(849849-\
12012*n)*p11*p1+196/5*(561330-1980*n)*p10*p2+196/5*(-66990+660*n)*p10*p1^2-2548
*p12*p1^2+49/2*(932400-7200*n)*p8*p4+112/5*(1072120-11760*n)*p7*p5+82320*p13*p1
+35280*p8*p6+56/3*(1301860-25872*n)*p7*p1^3+98/3*(252418320-7134330*n+48150*n^2
-60*n^3)*p6*p4+49/3*(-14607936+202320*n-864*n^2)*p6*p2^2+49/9*(-71040+1008*n)*
p6*p1^4+784/9*(151527915-5676165*n+49005*n^2)*p9*p1+49*(162332982-4235040*n+
16200*n^2)*p8*p2+49*(-15877314+465120*n-2520*n^2)*p8*p1^2+112/3*(213268384-\
5368776*n+17976*n^2)*p7*p3+196*p6^2*p1^2-588*p6^2*p2+196/9*(201439182-8263152*n
+71136*n^2)*p3^2*p1^2+112*(9496027947-732973164*n+51070103/3*n^2-126714*n^3+343
/3*n^4)*p7*p1+196/3*(12796898022-1689613113/2*n+59514657/4*n^2-135447/2*n^3+399
/4*n^4)*p6*p2+196/3*(-1307790570+161606583/2*n-5726591/4*n^2+14217/2*n^3-49/4*n
^4)*p6*p1^2+784/15*(16026291820-1058341305*n+18251625*n^2-70560*n^3)*p5*p3+49/4
*(-19641300+252000*n-1200*n^2)*p4^2*p2+49/4*(2195900-50400*n+400*n^2)*p4^2*p1^2
+98/9*(-20250720+100800*n)*p4*p3^2+49/12*(839160-6480*n)*p4*p2^3+20525120*p9*p3
+784/3*(1357088078304-766453282143/2*n+440027672273/12*n^2-1529855408*n^3+
174979859/6*n^4-467873/2*n^5+2499/4*n^6)*p3*p1+196*(-323571356640+207351119779/
3*n-60526752745/12*n^2+1282507355/8*n^3-54706057/24*n^4+324919/24*n^5-343/8*n^6
)*p2*p1^2+98/45*(856320-20160*n)*p3*p1^5+49/6*(-11979360+289116*n-2268*n^2)*p2^
3*p1^2+49/12*(553248-6048*n)*p2^2*p1^4+784/5*(208322381820-61429243855/2*n+
17926919045/12*n^2-117759635/4*n^3+2660455/12*n^4-1715/4*n^5)*p5*p1+98*(
300005924904-82670625785/2*n+7121580205/4*n^2-28289455*n^3+594035/4*n^4-665/2*n
^5)*p4*p2+98*(-38108382648+26583672625/6*n-2028802085/12*n^2+2536575*n^3-169435
/12*n^4+245/6*n^5)*p4*p1^2+392/9*(5611068412-511298454*n+14513193*n^2-134694*n^
3+147*n^4)*p3*p1^3+49*(6255935720-522521415*n+26487803/2*n^2-118041*n^3+1029/2*
n^4)*p2^2*p1^2+49/3*(-619673464+42532520*n-814800*n^2+3528*n^3)*p2*p1^4+392/15*
(150845590-7108500*n+79380*n^2)*p5*p1^3+49/2*(-1864670640+79125480*n-757560*n^2
+2880*n^3)*p4*p2^2+49/6*(-13816880+483760*n-3360*n^2)*p4*p1^4+196/9*(-\
2072332458+83261808*n-550368*n^2)*p3^2*p2-6272*p7*p6*p1-1764*p6*p2^2*p1^2-3136*
p6*p3*p1^3-799680*p14-1025472*p3^2*p2*p1^2+3969*p2^4*p1^2+392/25*(262885000-\
7336875*n+45675*n^2)*p5^2+392/5*(-1237476240+54628035*n-574365*n^2+330*n^3)*p10
+392/9*(336934804696-46430972679*n+1985548845*n^2-30190860*n^3+117894*n^4)*p3^2
+98*(1738813452768-478339124526*n+43481339772*n^2-3304158367/2*n^3+53332539/2*n
^4-329021/2*n^5+1029/2*n^6)*p2^2+98/3*(51152824800-8820887194*n+1578063347/3*n^
2-13425307*n^3+414001/3*n^4-343*n^5)*p1^4+392*(-3127504089600+107572035775091/
40*n-71829517947527/96*n^2+8641736047075/96*n^3-664745184219/128*n^4+
17582622227/120*n^5-122356087/64*n^6+962605/96*n^7-10633/384*n^8)*p2+49/3*(-\
56573425368+5422871403*n-300438711/2*n^2+1357749*n^3-11529/2*n^4)*p2^3+117649/
144*n^10-4756381/16*n^9+7644*p12*p2+98/3*(1491840-11520*n)*p4*p3*p2*p1+25088*p7
^2-27756198462048623/180*n^3+594045785744705/18*n^4-691488*p5*p2*p1^3+12544*p3^
2*p1^4+14112*p3*p2^2*p1^3-338688*p3*p2^3*p1-11907*p2^5+98/9*(1250928-18162*n+18
*n^2)*p6^2+196/3*(-8168160+131079*n-39*n^2)*p12+392/3*(-929428379880+
177009169960*n-44308396449/4*n^2+2235840237/8*n^3-21717413/8*n^4+52843/8*n^5-49
/8*n^6)*p6+49/24*(147329280-3797928*n+29160*n^2)*p2^4+98*(-59669575680+
5723296947*n-163751682*n^2+1532250*n^3-1995*n^4)*p8+49/2*(17198470800-\
1154069350*n+21245350*n^2-117800*n^3+200*n^4)*p4^2+49/45*(51949960-2750160*n+
35280*n^2)*p1^6+196*(-4048445288160+1538364264619*n-2371040965693/12*n^2+
264797861965/24*n^3-6773594075/24*n^4+74506465/24*n^5-279755/24*n^6+245/12*n^7)
*p4+392*(1430158809600-102073510473931/120*n+48435977529679/288*n^2-\
4275948711563/288*n^3+750008505065/1152*n^4-5242539967/360*n^5+91832125/576*n^6
-226037/288*n^7+2401/1152*n^8)*p1^2+125532388582573/720*n^6-485401606292197/144
*n^5+13477622558617217/45*n^2-1646687620249/360*n^7+4115676551/72*n^8
[7, 6, 4]
10444032442368*n+28/5*(5970-60*n)*p6*p5*p1+4536*p3*p2^3*p1+12*(1282176-12096*n)
*p7*p2*p1+28/3*(2524806-59976*n+252*n^2)*p6*p3*p1+7*(-23472+288*n)*p6*p2*p1^2+
42/5*(2094750-33200*n+200*n^2)*p5*p4*p1+28/5*(4608240-90555*n+315*n^2)*p5*p3*p2
+8064*p3^2*p2*p1^2+28/5*(-70920+900*n)*p5*p3*p1^2+21/5*(-66060+360*n)*p5*p2^2*
p1+14/5*(24150-300*n)*p5*p4*p3+21/2*(-10158480+202560*n-960*n^2)*p4*p2*p1^2-\
68040*p4*p2^3+84/5*(220736040-9259435*n+83365*n^2-210*n^3)*p5*p2*p1+14*(
295122282-14533860*n+202140*n^2-840*n^3)*p4*p3*p1+168/11*(-48444+264*n)*p11*p1-\
1512*p8*p6+56/9*(-268110+4050*n)*p9*p3-864864*p10*p2+21/4*(-202320+1440*n)*p8*
p4+6804*p8*p2^2+24/5*(-268380+2520*n)*p7*p5-1680*p9*p5+7*(-105480+720*n)*p4*p3*
p2*p1+7*(-20616516+545688*n-3024*n^2)*p3*p2^2*p1+21168*p5^2*p2+14/3*(339552-\
6480*n)*p3*p2*p1^3+28*(9266299968-902071902*n+53282319/2*n^2-274653*n^3+1911/2*
n^4)*p3*p2*p1+14/9*(32076-432*n)*p6*p3^2+56/3*(-17098920+489510*n-2520*n^2)*p9*
p1+21/2*(-33432768+859752*n-1512*n^2)*p8*p2+21/2*(580608-7776*n)*p8*p1^2+8*(-\
53631648+1912176*n-15876*n^2)*p7*p3+7*(-55135248+1692000*n-10320*n^2)*p6*p4+7/2
*(2563920-22464*n)*p6*p2^2+7/6*(-265032+2592*n)*p3^2*p2^2+14/3*(-17072496+
647928*n-6048*n^2)*p3^2*p1^2+21/8*(3528000-28800*n)*p4^2*p2+7/3*(7236180-202680
*n+1440*n^2)*p4*p3^2+28/27*(-312336+5184*n)*p3^3*p1+7/2*(25225344-811584*n+8064
*n^2)*p2*p1^4+56*(-324677784384+1760147001021/20*n-64004565269/8*n^2+1245191471
/4*n^3-42719021/8*n^4+180836/5*n^5-343/4*n^6)*p3*p1+42*(67597187136-12882760674
*n+795328877*n^2-19558636*n^3+184123*n^4-602*n^5)*p2*p1^2+24*(-1557350172+
105536760*n-1996764*n^2+9576*n^3)*p7*p1+14*(-2802381024+188468244*n-3265284*n^2
+9648*n^3)*p6*p2+14*(121453104-5243592*n+58728*n^2-144*n^3)*p6*p1^2+56/5*(-\
3692653110+1076907415/4*n-46439035/8*n^2+153545/4*n^3-245/8*n^4)*p5*p3+28/5*(-\
5381640+129900*n-840*n^2)*p5*p1^3+21/4*(377517168-14932800*n+86400*n^2)*p4*p2^2
+14/3*(497072520-25495002*n+362466*n^2-1512*n^3)*p3^2*p2+7/4*(422496-5184*n)*p2
^3*p1^2+168/5*(-43034450880+70875439505/12*n-6222660985/24*n^2+25783285/6*n^3-\
533015/24*n^4+245/12*n^5)*p5*p1+21*(-70068386352+9702764368*n-422224678*n^2+
6494700*n^3-22710*n^4)*p4*p2+21*(5911031952-561573224*n+16130040*n^2-160480*n^3
+480*n^4)*p4*p1^2+28/3*(-553507992+36250164*n-744048*n^2+5256*n^3)*p3*p1^3+21/2
*(-739308384+43864800*n-644640*n^2+2880*n^3)*p2^2*p1^2+42336*p8*p3*p1+36288*p7*
p3*p2+10080*p9*p2*p1-1344*p5*p3^2*p1+168*p6*p5*p3-756*p5*p3*p2^2+15120*p6*p4*p2
+84*(842111078400-10748574917542/15*n+2964192580198/15*n^2-710865898661/30*n^3+
8220462767/6*n^4-1155014771/30*n^5+4684963/10*n^6-7434/5*n^7)*p2+7*(-7564793472
+983549184*n-40170528*n^2+649056*n^3-4032*n^4)*p1^4-1008*p6*p3*p2*p1+84*(-\
371836569600+3197071865782/15*n-199800173358/5*n^2+6514395219/2*n^3-755193481/6
*n^4+68410201/30*n^5-519967/30*n^6+49*n^7)*p1^2+992309350368/5*n^5-51589744416/
5*n^6+1349106528/5*n^7-15686664/5*n^8+40320*p14-88999008014784/5*n^2+28*(
224524460160-214782637111/5*n+5483049511/2*n^2-71222735*n^3+1361921/2*n^4-4294/
5*n^5)*p6+14*(1834560-32760*n)*p12+42*(1036615157760-1172343440803/3*n+
301227900131/6*n^2-8501245768/3*n^3+440807383/6*n^4-2336269/3*n^5+1801*n^6)*p4+
7/3*(-289296+4032*n)*p6^2+49392/5*n^9+28/3*(-79808763312+22682916789/2*n-\
2113583157/4*n^2+19789521/2*n^3-282051/4*n^4+147*n^5)*p3^2+84/5*(274354080-\
13058760*n+145860*n^2)*p10+21/4*(-3849546960+269433920*n-5170400*n^2+24000*n^3)
*p4^2+7/16*(-24478848+373248*n)*p2^4+7/2*(12455557920-1165947264*n+29414016*n^2
-155520*n^3)*p2^3+84/25*(-58533300+1863750*n-11550*n^2)*p5^2+21*(-433077159936+
589934957596/5*n-10687834886*n^2+402588444*n^3-6043434*n^4+113544/5*n^5)*p2^2+
21*(13660183680-1351287426*n+40684893*n^2-387294*n^3+147*n^4)*p8-2016*p11*p3-\
9707033402136/5*n^4+45543826129872/5*n^3
[7, 6, 3, 2]
-175295242644480*n-12096*p6*p1^4+12096*p3*p2^2*p1^3-120960*p4*p3*p1^3-1008*p6*
p5*p3+6804*p2^4*p1^2-2268*p8*p5*p1-30618*p2^5-2016*p7*p5*p2+170233871650353/5*n
^4-781134704757729/5*n^3+1504425556173204/5*n^2+45864*p12*p2-2016*p5*p3*p2*p1^2
+6*(1084384-4704*n)*p7*p1^3+21/2*(868432656-26433750*n+209730*n^2-780*n^3)*p6*
p4+21/4*(-81344688+1791204*n-7524*n^2)*p6*p2^2+7/4*(6702048-58752*n)*p3^2*p2^2+
63/16*(-87337600+1620800*n-9600*n^2)*p4^2*p2+63/16*(2486400-19200*n)*p4^2*p1^2+
7/2*(-83245680+1317600*n-5760*n^2)*p4*p3^2+28*(387570150-13848615*n+139590*n^2-\
495*n^3)*p9*p1+63/4*(650096400-21707856*n+172656*n^2)*p8*p2+63/4*(-26950896+
578880*n-2304*n^2)*p8*p1^2+12*(769009780-23655156*n+174132*n^2-336*n^3)*p7*p3+
38556*p8*p6-1047816*p8*p2^2+252/11*(1940994-24882*n+66*n^2)*p11*p1+63/5*(
3231800-34320*n)*p10*p2+42/5*(232451160-7913750*n+67160*n^2-210*n^3)*p5*p1^3+63
/8*(-7255172848+383212040*n-5622600*n^2+23040*n^3)*p4*p2^2+21/8*(-10790400+
103680*n)*p4*p1^4+7*(-7782720792+398159232*n-5722776*n^2+26208*n^3)*p3^2*p2+7*(
414362448-15233904*n+161424*n^2-576*n^3)*p3^2*p1^2+21/8*(-44250768+1391760*n-\
9936*n^2)*p2^3*p1^2+21/16*(1215744-16128*n)*p2^2*p1^4+252/5*(613693924520-\
180562284937/2*n+106861210085/24*n^2-4555594225/48*n^3+15282955/16*n^4-221207/
48*n^5+245/48*n^6)*p5*p1+63/2*(956813096432-139404346834*n+20101178102/3*n^2-\
133536330*n^3+3350560/3*n^4-3190*n^5)*p4*p2+63/2*(-99568326064+10874841250*n-\
391132446*n^2+5964260*n^3-42240*n^4+120*n^5)*p4*p1^2+14*(12072258216-953044578*
n+23509464*n^2-229710*n^3+936*n^4)*p3*p1^3+63/4*(16504164896-1382328028*n+
38685072*n^2-458616*n^3+1924*n^4)*p2^2*p1^2+21/4*(-1059232480+59339456*n-988032
*n^2+6048*n^3)*p2*p1^4+84*(4126094877824-11702277348593/10*n+4537796578941/40*n
^2-78663053565/16*n^3+1673784073/16*n^4-91061171/80*n^5+504793/80*n^6-49/4*n^7)
*p3*p1+63*(-938024521856+981373075369/5*n-84507829433/6*n^2+2729912539/6*n^3-\
21992477/3*n^4+1816291/30*n^5-399/2*n^6)*p2*p1^2+36*(26473280582-2005381490*n+
144358361/3*n^2-466172*n^3+5761/3*n^4)*p7*p1+21*(43627943736-3223168161*n+
144422147/2*n^2-570405*n^3+2089/2*n^4)*p6*p2+21*(-2891701824+157684758*n-\
2582838*n^2+15780*n^3-36*n^4)*p6*p1^2+84/5*(52810867770-3799083515*n+163386005/
2*n^2-643125*n^3+4235/2*n^4)*p5*p3+14*(-56596896+1342521*n-9837*n^2+36*n^3)*p6*
p3*p1+21/2*(3192024-54984*n+216*n^2)*p6*p2*p1^2+63/5*(-61190640+1412875*n-11325
*n^2+50*n^3)*p5*p4*p1+21/16*(6916320-51840*n)*p4*p2^3+42/5*(-87623480+1840620*n
-10500*n^2)*p5*p3*p2+42/5*(2799360-36840*n+120*n^2)*p5*p3*p1^2+63/10*(5938000-\
110990*n+510*n^2)*p5*p2^2*p1+14/9*(4462128-57024*n)*p3^3*p1+42*(-146227746520+
31904032345/2*n-2307670481/4*n^2+17971729/2*n^3-262015/4*n^4+175*n^5)*p3*p2*p1+
21*(-5407354512+286763301*n-4649655*n^2+32970*n^3-120*n^4)*p4*p3*p1+63/4*(
406135592-16296520*n+195880*n^2-720*n^3)*p4*p2*p1^2+21/2*(622178928-26103186*n+
328746*n^2-1224*n^3)*p3*p2^2*p1+7*(-24732984+637752*n-4608*n^2)*p3*p2*p1^3+126/
5*(-4791337660+539887295/2*n-57762565/12*n^2+69665/2*n^3-875/12*n^4)*p5*p2*p1+7
/3*(-201744+1728*n)*p6*p3^2+28/3*(3127410-23760*n)*p9*p3+7/4*(-430920+2592*n)*
p3*p2^3*p1+7/2*(-218304+2304*n)*p3^2*p2*p1^2+63/16*(-265920+1920*n)*p4*p2^2*p1^
2+21/5*(-121640+840*n)*p5*p2*p1^3+12096*p11*p3+18*(-52626224+1398880*n-10248*n^
2)*p7*p2*p1+63/8*(3414240-23040*n)*p8*p4+9*(-171920+1120*n)*p7*p4*p1+6*(-254352
+1344*n)*p7*p3*p2+42/5*(-260640+3135*n-15*n^2)*p6*p5*p1+21/4*(-284280+3120*n)*
p6*p4*p2-1764*p6^2*p2+21168*p5^2*p1^2+21/5*(-155400+1200*n)*p5*p4*p3+14742*p6*
p2^3+36/5*(4383820-48860*n+140*n^2)*p7*p5+14*(-211860+1980*n)*p9*p2*p1+21/2*(-\
162648+864*n)*p8*p3*p1+63/25*(-376600+4200*n)*p5^2*p2+22176*p5*p3^2*p1+25704*p5
*p3*p2^2-1134*p5*p2^3*p1+58968*p8*p2*p1^2+16128*p7*p3*p1^2+96768*p3*p1^5-1512*
p6*p2^2*p1^2+15120*p6*p4*p1^2+252*p6*p5*p2*p1-2016*p7*p6*p1+75600*p7*p2^2*p1+21
/2*(5260260-88200*n+480*n^2)*p4*p3*p2*p1+7*(16164-144*n)*p6*p3*p2*p1+63/10*(
17500-200*n)*p5*p4*p2*p1+27720*p9*p5-3024*p11*p2*p1-864864*p10*p1^2+52920*p13*
p1-1028160*p14+3989700435609/20*n^6-72066369038517/20*n^5+957535929/10*n^8-\
59635241757/10*n^7+126/25*(919260300-29168650*n+256900*n^2-1050*n^3)*p5^2+63/2*
(5428543998464-7692811550206/5*n+445349877890/3*n^2-12710301789/2*n^3+781882649
/6*n^4-12463763/10*n^5+8577/2*n^6)*p2^2+21/2*(126384118784-19543766504*n+
1014268128*n^2-22518728*n^3+228288*n^4-1008*n^5)*p1^4+126*(-9718669670400+
42082598314887/5*n-47595695091797/20*n^2+35501148711427/120*n^3-436714669901/24
*n^4+69859681727/120*n^5-1167814733/120*n^6+1597593/20*n^7-483/2*n^8)*p2+126*(
4399122585600-13049762863263/5*n+2058335244013/4*n^2-5444846256823/120*n^3+
16075804067/8*n^4-5676020833/120*n^5+4881441/8*n^6-64064/15*n^7+49/4*n^8)*p1^2+
21*(-29702400+525252*n-1092*n^2)*p12+14*(1066611286800-154374585552*n+
7320268791*n^2-143213160*n^3+1201557*n^4-4116*n^5)*p3^2+21/4*(-192330325632+
20880317256*n-735844122*n^2+10147788*n^3-44442*n^4)*p2^3+7/20*(35228160-483840*
n)*p1^6+7/2*(4695264-64764*n+252*n^2)*p6^2+126/5*(-4160316160+199589390*n-\
2601170*n^2+8580*n^3)*p10+9261/4*n^10-15405453/20*n^9+21/32*(821987136-30862944
*n+225504*n^2)*p2^4+63/8*(56089668320-4004141120*n+84075600*n^2-638000*n^3+2400
*n^4)*p4^2+63/2*(-191414995200+19399841508*n-622645758*n^2+7682868*n^3-32538*n^
4)*p8+63*(-12580208950400+4864252426054*n-646160208189*n^2+115447853366/3*n^3-\
6706253887/6*n^4+95750501/6*n^5-621251/6*n^6+425/2*n^7)*p4+42*(-2911761172320+
2866704209997/5*n-152888194743/4*n^2+8772407459/8*n^3-113224115/8*n^4+2977529/
40*n^5-559/8*n^6)*p6+16128*p7^2
[7, 6, 2, 2, 2]
3114754807836672*n+367416*p2^5+16128*p3*p2*p1^5+9072*p2^3*p1^4-204120*p2^4*p1^2
-2688*p5*p3*p1^4+108864*p5*p3*p2*p1^2-1512*p5*p2^2*p1^3+84*(1023480-4320*n)*p8*
p3*p1+13608*p5*p2^3*p1+84*(-24816288+528018*n-1818*n^2)*p6*p2*p1^2+504/5*(
313860050-8671575*n+58725*n^2-50*n^3)*p5*p4*p1+336/5*(211816920-3315140*n+14280
*n^2)*p5*p3*p2+112*(278224650-7352361*n+40617*n^2-36*n^3)*p6*p3*p1+42*(
8108457664-697332016*n+19438842*n^2-200468*n^3+602*n^4)*p2*p1^4+672*(-\
10501561696320+37172875317175/12*n-628809611403/2*n^2+684364919995/48*n^3-\
4934133219/16*n^4+146163133/48*n^5-182181/16*n^6+49/4*n^7)*p3*p1+28*(2813910-\
51540*n+240*n^2)*p4*p3*p1^3+504*(2657869574400-1824059418344/3*n+146310686012/3
*n^2-5323334305/3*n^3+185084447/6*n^4-238437*n^5+1267/2*n^6)*p2*p1^2+63/2*(
1645200-11520*n)*p4*p2^2*p1^2+252*(-2474498821632+358150410410*n-16496274040*n^
2+290028865*n^3-1783170*n^4+3615*n^5)*p4*p2+252*(357392972864-137547888370/3*n+
6010163740/3*n^2-110226665/3*n^3+807410/3*n^4-545*n^5)*p4*p1^2+21/2*(-131040+
960*n)*p4*p2*p1^4+28/5*(-23306400+791880*n-6240*n^2)*p3*p1^5+21*(212752224-\
6652152*n+39528*n^2)*p2^3*p1^2+21/2*(-20205072+555648*n-2880*n^2)*p2^2*p1^4+7/5
*(1232640-20160*n)*p2*p1^6+2016/5*(-1770549470400+3341198142385/12*n-\
29560964595/2*n^2+5284833735/16*n^3-145235635/48*n^4+391895/48*n^5-245/48*n^6)*
p5*p1+672/5*(-144476133780+61037942575/6*n-2368926275/12*n^2+6610625/6*n^3-\
25165/12*n^4)*p5*p3+336/5*(-2090421180+1475215835/12*n-52047595/24*n^2+141085/
12*n^3-245/24*n^4)*p5*p1^3+63*(18636420600-884465400*n+10076040*n^2-32400*n^3)*
p4*p2^2+21*(250489160-11648160*n+149680*n^2-480*n^3)*p4*p1^4+56*(20454661752-\
939877116*n+9863664*n^2-32256*n^3)*p3^2*p2+56*(-2568670200+129207720*n-1825620*
n^2+7632*n^3)*p3^2*p1^2+21/2*(-12538800+77760*n)*p4*p2^3+112/9*(-22703760+
198720*n)*p3^3*p1+14*(-12907728+81216*n)*p3^2*p2^2+14/3*(-194112+2304*n)*p3^2*
p1^4+288*(-91558433820+7718452441*n-405066375/2*n^2+1824935*n^3-5649/2*n^4)*p7*
p1+168*(-116883358092+16596202419/2*n-656422791/4*n^2+1863489/2*n^3-4737/4*n^4)
*p6*p2+336/5*(-31381840+733490*n-4110*n^2)*p5*p3*p1^2+168*(14713070100-\
2088340909/2*n+91802921/4*n^2-334487/2*n^3+703/4*n^4)*p6*p1^2+14*(2372184-48096
*n+144*n^2)*p6*p1^4+84/25*(-136000+1400*n)*p5*p1^5+63/2*(220852800-3232800*n+
14400*n^2)*p4^2*p2+63/2*(-33297600+786400*n-4800*n^2)*p4^2*p1^2+28*(221695320-\
2292240*n+4800*n^2)*p4*p3^2+42*(183623688-3191544*n+10584*n^2)*p6*p2^2+84*(-\
2505116880+74368950*n-490050*n^2+780*n^3)*p6*p4+252/5*(-19762740+260040*n-720*n
^2)*p5*p2^2*p1+168/5*(2241720-35225*n+105*n^2)*p5*p2*p1^3+112*(-60327497400+
25504896607/4*n-1821457951/8*n^2+13275135/4*n^3-145889/8*n^4+49/2*n^5)*p3*p1^3+
126*(-65223970368+6260679046*n-193532337*n^2+2226702*n^3-7827*n^4)*p2^2*p1^2+
288/5*(-12786480+146300*n-140*n^2)*p7*p5+28*(1909296-15552*n)*p3^2*p2*p1^2+
14560560*p8*p2^2+14*(1102572-3888*n)*p3*p2^3*p1+2016/11*(-11412060+180774*n-66*
n^2)*p11*p1+14*(-116748+432*n)*p3*p2^2*p1^3+504/5*(-7473180+51480*n)*p10*p2+504
/5*(1289860-17160*n)*p10*p1^2+224/3*(-8381340+33660*n)*p9*p3+168*(20749263710-\
1244982945*n+21155455*n^2-106170*n^3+120*n^4)*p4*p3*p1+56/3*(396360-1440*n)*p6*
p3^2+112/3*(-112860+990*n)*p9*p1^3+126*(-2307645360+115644560*n-1584720*n^2+
5640*n^3)*p4*p2*p1^2+63*(-10227600+69600*n)*p8*p4+1008/5*(17510669140-\
4228455275/4*n+143898895/8*n^2-341105/4*n^3+665/8*n^4)*p5*p2*p1+60480*p8*p1^4+
144*(220453156-5677644*n+24024*n^2)*p7*p2*p1+72*(1295000-11760*n)*p7*p4*p1+48*(
514584-2016*n)*p7*p3*p2+48*(-111048+672*n)*p7*p3*p1^2+504/25*(634200-6300*n)*p5
^2*p2+336/5*(1626390-21555*n+15*n^2)*p6*p5*p1+42*(564300-4680*n)*p6*p4*p2+42*(-\
139380+1560*n)*p6*p4*p1^2+56/3*(10098-72*n)*p6*p3*p1^3+168/5*(237300-1000*n)*p5
*p4*p3+84/5*(9450-100*n)*p5*p4*p1^3+504/25*(-161000+2100*n)*p5^2*p1^2+112*(
825660-2970*n)*p9*p2*p1+336*(449658278944-209809942333/4*n+15865127913/8*n^2-\
115972913/4*n^3+1171375/8*n^4-399/2*n^5)*p3*p2*p1+84*(-2216329452+88042776*n-\
791136*n^2+1728*n^3)*p3*p2^2*p1+56*(253202520-10112583*n+103395*n^2-252*n^3)*p3
*p2*p1^3-176904*p6*p2^3+84*(-21877290+252060*n-720*n^2)*p4*p3*p2*p1+126*(-\
1712863296+50861040*n-277200*n^2)*p8*p2+126*(226385952-8033640*n+66600*n^2)*p8*
p1^2+96*(-2161121256+61463724*n-317940*n^2+336*n^3)*p7*p3+48*(-25980108+737016*
n-4284*n^2)*p7*p1^3+224*(-1708981560+71192880*n-729135*n^2+495*n^3)*p9*p1-8064*
p7*p5*p1^2+36288*p11*p2*p1+183456*p12*p1^2-80640*p11*p3-4032*p11*p1^3+77112*p6*
p2^2*p1^2+120960*p7*p2*p1^3-3386880*p13*p1-443520*p9*p5+336*p6*p5*p1^3+56*(-\
52614+216*n)*p6*p3*p2*p1+252/5*(-40950+300*n)*p5*p4*p2*p1-967680*p8*p6-580608*
p7^2+90720*p8*p5*p1+185472*p7*p6*p1+24192*p7*p5*p2-550368*p12*p2-4626720*p8*p2*
p1^2-1560384*p7*p2^2*p1+6720*p6*p5*p3-7056*p6^2*p1^2+21168*p6^2*p2-284256*p5*p3
*p2^2-618240*p5*p3^2*p1-2016*p6*p2*p1^4-3024*p6*p5*p2*p1+14004021940977096/5*n^
3-611998978956120*n^4+24675840*p14-17307866373714/5*n^6+64317133838034*n^5-\
1323169092*n^8+481694136084/5*n^7-18522*n^10+7910658*n^9+1008/25*(-2640997800+
80959900*n-598150*n^2+1050*n^3)*p5^2-26822554005947616/5*n^2+63*(-154287882000+
10897432000*n-212913200*n^2+1218800*n^3-2400*n^4)*p4^2+21/4*(-1786797792+
54680832*n-326592*n^2)*p2^4+336*(7377551541360-1459018978320*n+383463299373/4*n
^2-20730588019/8*n^3+225742727/8*n^4-743453/8*n^5+559/8*n^6)*p6+112*(-\
2770482045024+400157335103*n-36582344723/2*n^2+314981217*n^3-3677233/2*n^4+4018
*n^5)*p3^2+14/5*(-909338880+66049680*n-1466400*n^2+10080*n^3)*p1^6+1008*(
22260181017600-97342217332011/5*n+22195854027019/4*n^2-16546018857319/24*n^3+
498561224593/12*n^4-149872019131/120*n^5+432546367/24*n^6-440851/4*n^7+2079/8*n
^8)*p2+28*(-13931568+187740*n-252*n^2)*p6^2+1008/5*(11725393680-550894630*n+
6359210*n^2-8580*n^3)*p10+252*(513032794560-51686230946*n+1582939061*n^2-\
16574230*n^3+36355*n^4)*p8+42*(496019885760-51391351278*n+1604888775*n^2-\
17275842*n^3+60345*n^4)*p2^3+168*(86879520-1486212*n+1092*n^2)*p12+1008*(-\
10395155865600+31877167249107/5*n-15795329537149/12*n^2+2964511350659/24*n^3-\
70995210515/12*n^4+18112377157/120*n^5-16144299/8*n^6+77189/6*n^7-245/8*n^8)*p1
^2+504*(30177253753920-11781483991437*n+3134439371629/2*n^2-274950720910/3*n^3+
7507970870/3*n^4-183106795/6*n^5+827165/6*n^6-425/2*n^7)*p4+84*(-467679151872+
269810473135/3*n-12492077137/2*n^2+603504268/3*n^3-6270621/2*n^4+65149/3*n^5-49
*n^6)*p1^4+252*(-13303966946688+3794753302377*n-723687556847/2*n^2+29439829875/
2*n^3-264442093*n^4+3833835/2*n^5-10215/2*n^6)*p2^2
[7, 5, 5]
-700*p6*p4*p1^2+31334878618750/3*n-1575/2*p4^2*p2^2-1400*p4^2*p3*p1+7000*p6*p3^
2-235200*p5*p3*p1^2-100800*p7*p1^3+58800*p5*p4*p3-66150*p5*p2^2*p1-56000*p3^3*
p1+14700*p6*p5*p1-31500*p3^2*p2^2+175/24*(10704-144*n)*p6*p4*p2-3850*p10*p4+175
/6*(135883356-5946904*n+56544*n^2-80*n^3)*p4*p3*p1+175/8*(-6315984+182752*n-\
1488*n^2)*p4*p2*p1^2+175/12*(-8081880+169920*n-864*n^2)*p3*p2^2*p1+175/18*(
169920-1728*n)*p3*p2*p1^3+175/3*(4428930720-417111878*n+11127726*n^2-82816*n^3+
120*n^4)*p3*p2*p1+35*(108003840-4463130*n+34650*n^2)*p5*p2*p1+175*p6*p4^2+25*(
594720-6048*n)*p7*p2*p1+175/9*(862020-7632*n)*p6*p3*p1+175/12*(-12144+144*n)*p6
*p2*p1^2+35/2*(1322580-24360*n)*p5*p4*p1+35/3*(1486800-15120*n)*p5*p3*p2+175/48
*(133920-2592*n)*p2^3*p1^2+70*(-20607790560+5573893185/2*n-468394045/4*n^2+
3373335/2*n^3-18515/4*n^4)*p5*p1+175/4*(-33938302208+14372937188/3*n-225242019*
n^2+13914439/3*n^3-49169*n^4+219*n^5)*p4*p2+175/4*(2865443968-797197744/3*n+
21007678/3*n^2-168080/3*n^3+578/3*n^4)*p4*p1^2+175/9*(-273190896+15777192*n-\
191232*n^2+240*n^3)*p3*p1^3+50*(-747632088+48430032*n-757512*n^2+840*n^3)*p7*p1
+175/6*(-1375682736+98987690*n-2197482*n^2+18898*n^3-30*n^4)*p6*p2+175/6*(
61951416-2418892*n+15264*n^2-20*n^3)*p6*p1^2+70/3*(-1701594720+115814580*n-\
1956780*n^2+2100*n^3)*p5*p3+35/3*(-3724560+78120*n)*p5*p1^3+175/16*(202115424-\
11451168*n+238104*n^2-1848*n^3)*p4*p2^2+175/48*(218784-3648*n)*p4*p1^4+175/18*(
206972640-8785800*n+68040*n^2)*p3^2*p2+175/18*(-6284160+108000*n)*p3^2*p1^2+350
/9*(-8308080+201960*n)*p9*p1+175/8*(-16838304+571356*n-5076*n^2)*p8*p2+175/8*(
370704-3888*n)*p8*p1^2+50/3*(-21757680+574560*n)*p7*p3+175/12*(-29746752+
1172500*n-13320*n^2+20*n^3)*p6*p4+175/24*(1372560-37080*n+216*n^2)*p6*p2^2+175/
32*(3169824-122256*n+1296*n^2)*p4^2*p2+175/32*(-69504+1088*n)*p4^2*p1^2+175/36*
(2514960-47520*n)*p4*p3^2+175/96*(-108000+2592*n)*p4*p2^3+35/2*(-53680+660*n)*
p10*p2-924000*p9*p3+175/16*(-183000+3600*n)*p8*p4+14175/2*p8*p2^2+175/8*(-\
375480768+22748168*n-359328*n^2+2136*n^3)*p2^2*p1^2+175/24*(17270592-640464*n+
5040*n^2)*p2*p1^4+350/3*(-155530333440+83852134591/2*n-45059010745/12*n^2+
280239553/2*n^3-25484179/12*n^4+9380*n^5-25/3*n^6)*p3*p1+175/2*(32463823104-\
18448576118/3*n+1116639113/3*n^2-26016193/3*n^3+219463/3*n^4-259*n^5)*p2*p1^2-\
1058400*p7*p5+700*p6*p1^4+5600*p4*p3*p1^3+3150*p4*p2^2*p1^2-5600*p3*p1^5-3150*
p2^2*p1^4+42000*p14-1490115025/288*n^8+15088973725/48*n^7+4955125/96*n^9-214375
/864*n^10-1575*p8*p6+175/12*(-50880+576*n)*p4*p3*p2*p1-764400*p11*p1+12600*p8*
p3*p1+50400*p7*p4*p1+7700*p10*p1^2-1282108000745425/72*n^2+72969790046125/8*n^3
-1684750819688825/864*n^4+35*(131891760-19138735/3*n+73370*n^2-275/3*n^3)*p10+
175/192*(43680-960*n)*p4^3+175/3*(107780120448-41243028861/2*n+15926464603/12*n
^2-144008859/4*n^3+1268449/3*n^4-8547/4*n^5+25/12*n^6)*p6+175/2*(497600812800-\
375262136725/2*n+870661398893/36*n^2-4164704501/3*n^3+694224853/18*n^4-6473161/
12*n^5+148841/36*n^6-55/4*n^7)*p4+175/4*(-208623663360+171669947077/3*n-\
10634597395/2*n^2+658881056/3*n^3-9141021/2*n^4+54105*n^5-296*n^6)*p2^2+175/16*
(-1895868560+431395084/3*n-3610794*n^2+121556/3*n^3-166*n^4)*p4^2+175/192*(-\
13970880+609120*n-7776*n^2)*p2^4+175/9*(-37866309120+5246563830*n-228005145*n^2
+3431190*n^3-9135*n^4)*p3^2+175/24*(6246196800-642373356*n+22689504*n^2-388620*
n^3+2808*n^4)*p2^3+35/72*(-809280+20160*n)*p1^6+175/6*(895440-16380*n)*p12+175/
4*(6552614640-650590943*n+39989493/2*n^2-214657*n^3+1347/2*n^4)*p8+7*(-27165600
+749700*n)*p5^2+175*(404183457792-1032288406274/3*n+1711303107869/18*n^2-\
68901618023/6*n^3+49106097557/72*n^4-505653701/24*n^5+25691915/72*n^6-86671/24*
n^7+35/2*n^8)*p2+175/36*(-143136+2016*n)*p6^2+175*(-178265567232+306062246173/3
*n-171444053864/9*n^2+55311752413/36*n^3-1039356295/18*n^4+8756893/9*n^5-111913
/18*n^6+595/36*n^7)*p1^2+175/12*(-3667970304+468567156*n-17505134*n^2+205404*n^
3-658*n^4)*p1^4-3113742380875/288*n^6+19326501447925/96*n^5
[7, 5, 4, 2]
-525801328640000/3*n+7560*p5*p3*p2^2+60480*p5*p3^2*p1-1260*p4*p3*p2^2*p1-560*p6
*p3*p1^3-70560*p5*p2*p1^3+35280*p5*p4*p2*p1+20*(-35717920+871360*n-4872*n^2)*p7
*p2*p1+140/81*(6467040-116640*n)*p3^3*p1+35/18*(3535920-49248*n)*p3^2*p2^2+35/8
*(-73610880+1820160*n-12000*n^2)*p4^2*p2+35/8*(4164800-102080*n+640*n^2)*p4^2*
p1^2+35/9*(-101780616+2609856*n-14256*n^2)*p4*p3^2+35/24*(1656288-23328*n)*p4*
p2^3+280/9*(365343750-13992135*n+121410*n^2-75*n^3)*p9*p1+35/2*(491743560-\
15090480*n+79920*n^2)*p8*p2+35/2*(-27576840+737040*n-2880*n^2)*p8*p1^2+40/3*(
734899508-25181380*n+171360*n^2-140*n^3)*p7*p3+20/3*(1448048-24192*n)*p7*p1^3+
35/3*(837714360-29050756*n+212040*n^2-164*n^3)*p6*p4+140/9*(-57233910+1557579*n
-8910*n^2+15*n^3)*p6*p3*p1+35/3*(1680720-25176*n+144*n^2)*p6*p2*p1^2+14*(-\
64036700+1809200*n-11700*n^2)*p5*p4*p1+28/3*(-63499800+1287990*n-5670*n^2)*p5*
p3*p2+35/6*(-37619232+568944*n-1728*n^2)*p6*p2^2+35/18*(-43104+576*n)*p6*p1^4+
16800*p9*p5+52360*p10*p4+28/3*(3349560-58320*n)*p5*p3*p1^2+35/2*(340326640-\
14332864*n+173624*n^2-816*n^3)*p4*p2*p1^2+70/3*(-5139850676+300024726*n-\
10333831/2*n^2+30860*n^3-149/2*n^4)*p4*p3*p1+28*(-3998783320+218162620*n-\
3330570*n^2+16170*n^3)*p5*p2*p1+35/18*(-110160+1944*n)*p3*p2^3*p1+35/9*(-190656
+1728*n)*p3^2*p2*p1^2+35/8*(-55584+576*n)*p4*p2^2*p1^2+35/9*(-186072+2880*n)*p4
*p3*p1^3+40*(24371355750-1910525344*n+134784601/3*n^2-342524*n^3+1883/3*n^4)*p7
*p1+7*(1797480-24840*n)*p5*p2^2*p1+7/9*(855120-21600*n)*p3*p1^5+35/12*(-\
15562368+368496*n-2592*n^2)*p2^3*p1^2+35/24*(258624-3456*n)*p2^2*p1^4+56*(
557663541000-166241370655/2*n+49227664555/12*n^2-328432795/4*n^3+7776125/12*n^4
-7455/4*n^5)*p5*p1+35*(848872703440-368103582620/3*n+5701524053*n^2-305855971/3
*n^3+663079*n^4-1735*n^5)*p4*p2+35*(-92553629200+10482606592*n-1165902671/3*n^2
+17164682/3*n^3-99205/3*n^4+298/3*n^5)*p4*p1^2+2520*p3*p2^2*p1^3+14/3*(-441420+
4320*n)*p5*p4*p3+4480*p3^2*p1^4+140/9*(11761178600-1010975875*n+54738177/2*n^2-\
258425*n^3+1047/2*n^4)*p3*p1^3+35/12*(37440-480*n)*p4^2*p3*p1+35/2*(13929185216
-1112707388*n+27727168*n^2-270444*n^3+1128*n^4)*p2^2*p1^2+140/9*(-78480+540*n)*
p9*p2*p1+35/3*(-234180+2160*n)*p8*p3*p1+10*(-282464+3584*n)*p7*p4*p1+20/3*(-\
160608+1008*n)*p7*p3*p2+28/3*(-197940+1620*n)*p6*p5*p1+35/6*(-171984+1296*n)*p6
*p4*p2+35/6*(9264-96*n)*p6*p4*p1^2+140/3*(-129974451160+14117108472*n-980614793
/2*n^2+26743123/4*n^3-77539/2*n^4+357/4*n^5)*p3*p2*p1+35/3*(411746616-15811662*
n+187236*n^2-846*n^3)*p3*p2^2*p1+70/9*(-20421120+604332*n-3996*n^2)*p3*p2*p1^3+
280/11*(1885026-27456*n)*p11*p1+14*(1681460-10560*n)*p10*p2+14*(-76340+440*n)*
p10*p1^2+280/27*(3688740-41040*n)*p9*p3+5600*p9*p1^3+35/4*(4543440-60480*n)*p8*
p4+280/3*(3727134624384-4242901764105/4*n+205867452933/2*n^2-210653078537/48*n^
3+2085441959/24*n^4-18748843/24*n^5+78973/24*n^6-245/48*n^7)*p3*p1+70*(-\
850325736960+178668444406*n-38254826998/3*n^2+2370939737/6*n^3-16843925/3*n^4+
223171/6*n^5-119*n^6)*p2*p1^2+35/6*(-1018198240+62501104*n-1116048*n^2+6048*n^3
)*p2*p1^4+70/3*(37170988980-2676034934*n+53185068*n^2-278830*n^3+216*n^4)*p6*p2
+70/3*(-2782857012+164291174*n-2703856*n^2+11254*n^3-20*n^4)*p6*p1^2+56/3*(
47942406380-7145302775/2*n+302348925/4*n^2-909265/2*n^3+2835/4*n^4)*p5*p3+28/3*
(248363600-10549020*n+102060*n^2)*p5*p1^3+35/4*(-5384588832+260686728*n-3354816
*n^2+15816*n^3)*p4*p2^2+35/12*(-17200160+575936*n-4608*n^2)*p4*p1^4+70/9*(-\
6506793888+335109420*n-4639140*n^2+20664*n^3)*p3^2*p2+70/9*(427914672-18978528*
n+214128*n^2-240*n^3)*p3^2*p1^2-113400*p8*p2^2+6300*p4^2*p2^2+8*(4130840-38640*
n)*p7*p5+70/27*(-345384+2160*n)*p6*p3^2-211680*p5^2*p2-1680*p6*p5*p3-2240*p7*p6
*p1-2240*p7*p4*p3-3080*p10*p3*p1-2800*p9*p4*p1+43680*p11*p3+70/9*(9648-108*n)*
p6*p3*p2*p1+17920*p7^2+35/3*(4376880-95928*n+612*n^2)*p4*p3*p2*p1-1400*p6*p4^2+
25200*p8*p6-2240*p4*p3^2*p1^2+58800*p13*p1+23520*p4*p3^2*p2+280*p6*p4*p3*p1+
10080*p7*p2^2*p1+62720*p7*p3*p1^2-1142400*p14-4209019814151040/27*n^3+
913660618246250/27*n^4+28*(-3798194400+568766660/3*n-2203080*n^2+4180/3*n^3)*
p10+28/5*(850451000-27793500*n+157500*n^2)*p5^2+35*(-172432191360+17746909420*n
-559196010*n^2+5792900*n^3-9990*n^4)*p8+35/4*(51145868320-11519019760/3*n+
83970020*n^2-1770080/3*n^3+1420*n^4)*p4^2+35/48*(339776640-8434368*n+62208*n^2)
*p2^4+35/3*(118813656960-19132361596*n+3151455550/3*n^2-24572528*n^3+719714/3*n
^4-756*n^5)*p1^4+35/48*(-672000+9600*n)*p4^3+140/9*(959973333056-140271577817*n
+13295057211/2*n^2-122936902*n^3+1669437/2*n^4-2205*n^5)*p3^2-47771151400/9*n^7
+655173890/9*n^8+34300/27*n^10-12029990/27*n^9+70*(-11322388546560+
4375140177499*n-5211368637650/9*n^2+135730924505/4*n^3-16792456351/18*n^4+
22846229/2*n^5-949309/18*n^6+401/4*n^7)*p4+140*(-8748114048000+45416007927545/6
*n-38420280048971/18*n^2+2105264125391/8*n^3-568636078093/36*n^4+5678589133/12*
n^5-243917047/36*n^6+1006613/24*n^7-721/6*n^8)*p2+571848856460/3*n^6-\
31887244646390/9*n^5+140/3*(-2618859122880+517205557206*n-102839743849/3*n^2+
938368668*n^3-30331495/3*n^4+29814*n^5-40/3*n^6)*p6+35*(4863818348928-\
4105575867472/3*n+129225449114*n^2-15624606401/3*n^3+92175938*n^4-670213*n^5+
2180*n^6)*p2^2+140*(3966613079040-14139045252353/6*n+8375629762273/18*n^2-\
982541368253/24*n^3+16022832172/9*n^4-157485097/4*n^5+15773209/36*n^6-59465/24*
n^7+245/36*n^8)*p1^2+35/6*(-158896737408+16008370500*n-481916232*n^2+5090580*n^
3-22032*n^4)*p2^3+7/18*(61138400-2989440*n+40320*n^2)*p1^6+70/3*(-28217280+
524160*n)*p12+35/9*(4126752-36288*n)*p6^2+2706075869274680/9*n^2
[7, 5, 3, 3]
-175503092546250*n+11340*p8*p2*p1^2+45360*p7*p2^2*p1+60480*p6*p3*p2*p1+5040*p6*
p4*p1^2+52920*p5*p4*p2*p1+52920*p5*p3*p2^2+12600*p4^2*p3*p1-453600*p8*p3*p1-\
1663200*p9*p2*p1+35280*p4*p3^2*p2-103950*p10*p1^2-2177280*p7*p3*p2-680400*p7*p4
*p1-372960*p6*p3^2-582120*p6*p5*p1-1111320*p5^2*p2-899640*p5*p4*p3+20638800*p11
*p1+1179360*p7*p1^3+2419200*p3^3*p1+28274400*p9*p3+5397840*p5*p3*p1^2+105/8*(-\
372816+6480*n-24*n^2)*p6*p4*p2+35/8*(-178560+1728*n)*p3*p2^3*p1+63*(-1724743440
+92562680*n-1456560*n^2+7000*n^3)*p5*p2*p1+45*(-16984800+357840*n-1008*n^2)*p7*
p2*p1+35*(-13306680+162000*n-864*n^2)*p6*p3*p1+105/4*(598272-7008*n+24*n^2)*p6*
p2*p1^2-3465*p10*p2^2+315/16*(2321400-39024*n+144*n^2)*p8*p4+315/32*(-320880+
4608*n)*p8*p2^2+68040*p8*p6+105/2*(-1750303800+79066360*n-961404*n^2+5696*n^3-\
12*n^4)*p4*p3*p1+315/8*(109706592-3813712*n+41464*n^2-192*n^3)*p4*p2*p1^2+105/4
*(238805712-10041904*n+118944*n^2-368*n^3)*p3*p2^2*p1+35/2*(-4079520+76032*n-\
288*n^2)*p3*p2*p1^3+58905*p10*p4+105*(-54863093040+5913406600*n-210433036*n^2+
3184962*n^3-20900*n^4+38*n^5)*p3*p2*p1+63/2*(-16340520+232680*n-840*n^2)*p5*p4*
p1+114660*p12*p2+21*(-44301600+960120*n-2520*n^2)*p5*p3*p2-4410*p6^2*p2+63/4*(
2101680-30240*n)*p5*p2^2*p1-1575*p6*p4^2+315/32*(-64864+768*n)*p4*p2^2*p1^2+63/
2*(2201540-39710*n+110*n^2)*p10*p2+35/16*(41184-432*n)*p6*p2^3+315/128*(47680-\
640*n)*p4^2*p2^2+30481920*p7*p5+90*(9215476200-639487380*n+12787362*n^2-84588*n
^3+126*n^4)*p7*p1+105/2*(19439605860-1651605600*n+50042463*n^2-1473713/2*n^3+
5043*n^4-19/2*n^5)*p6*p2+105/2*(-751728804+30446088*n-308577*n^2+1692*n^3-3*n^4
)*p6*p1^2+42*(21723917040-1599501330*n+34202385*n^2-226170*n^3+315*n^4)*p5*p3+
21*(38550960-677880*n+2520*n^2)*p5*p1^3+315/32*(-63409808+2467200*n-33680*n^2+
160*n^3)*p4^2*p2+315/32*(460640-4800*n)*p4^2*p1^2+35/4*(-35481600+517536*n-2016
*n^2)*p4*p3^2+105/32*(8884608-310848*n+2880*n^2)*p4*p2^3+35/8*(4504320-64512*n)
*p3^2*p2^2+70*(113549040-2934360*n+11880*n^2)*p9*p1+315/8*(338720088-14961636*n
+217092*n^2-1056*n^3)*p8*p2+315/8*(-4451400+39024*n-144*n^2)*p8*p1^2+30*(
319364640-9047808*n+36288*n^2)*p7*p3+105/4*(411840156-16179856*n+238197*n^2-\
1544*n^3+3*n^4)*p6*p4+105/8*(-58181592+2299036*n-28776*n^2+92*n^3)*p6*p2^2+315*
p6*p4*p2^2-5670*p8*p4*p2+315/8*(5545655872-444666692*n+12047392*n^2-140708*n^3+
648*n^4)*p2^2*p1^2+105/8*(-218175648+9410592*n-129792*n^2+672*n^3)*p2*p1^4+210*
(1608667651200-455751699259*n+88217155557/2*n^2-3810288671/2*n^3+80319041/2*n^4
-420819*n^5+1997*n^6-5/2*n^7)*p3*p1-630*p6*p2^2*p1^2+315/2*(-347969710592+
353028548768/5*n-4850979383*n^2+297682447/2*n^3-2301114*n^4+185429/10*n^5-63*n^
6)*p2*p1^2+315/16*(-3834990528+279604368*n-23401112/3*n^2+102688*n^3-1576/3*n^4
)*p4*p2^2+105/16*(-1239360+13632*n)*p4*p1^4+35/2*(-3473526672+193689264*n-\
3105648*n^2+14784*n^3)*p3^2*p2+35/2*(82123200-1606176*n+7776*n^2)*p3^2*p1^2+105
/16*(-14185248+439056*n-3456*n^2)*p2^3*p1^2+105/32*(178944-2688*n)*p2^2*p1^4+
126*(230651877120-33231705185*n+3152832445/2*n^2-31159170*n^3+532595/2*n^4-805*
n^5)*p5*p1+315/4*(395564410224-308313930958/5*n+10302327284/3*n^2-284073146/3*n
^3+1516483*n^4-202616/15*n^5+151/3*n^6)*p4*p2+315/4*(-32607849520+3178964404*n-\
95283177*n^2+1160160*n^3-7651*n^4+24*n^5)*p4*p1^2+35*(3062958768-180156168*n+
2750580*n^2-18288*n^3+36*n^4)*p3*p1^3-2520*p4*p3*p2^2*p1-2835/2*p4*p2^4-1285200
*p14-1267793631072871/8*n^3+1127925639102703/32*n^4-3780*p6*p1^4-40320*p4*p3*p1
^3-272160*p3^2*p2*p1^2+2835*p2^4*p1^2-124503035275759/32*n^5+15028746607665/64*
n^6+30240*p3*p1^5+105/2*(-13737360+263172*n-1092*n^2)*p12-536802560427/64*n^7+
3072576381/16*n^8+35/4*(2556288-46620*n+252*n^2)*p6^2+105/64*(-336000+4800*n)*
p4^3+63*(-1790188400+185481835/2*n-5836105/4*n^2+18645/2*n^3-55/4*n^4)*p10+63/5
*(390196800-11333700*n+44100*n^2)*p5^2+315/4*(-78836163120+8417886039*n-\
603203661/2*n^2+4827573*n^3-77883/2*n^4+120*n^5)*p8+105/8*(-86950642368+
11146754712*n-549373558*n^2+14277276*n^3-203906*n^4+1284*n^5)*p2^3+315/4*(
2186732622592-1926062709547/3*n+6014823946627/90*n^2-60680594191/18*n^3+
876483886/9*n^4-32044651/18*n^5+1770193/90*n^6-914/9*n^7)*p2^2+105*(-\
1172866094400+2384528637759/10*n-33880019581/2*n^2+4450615557/8*n^3-38716219/4*
n^4+1927177/20*n^5-1899/4*n^6+5/8*n^7)*p6+21/128*(-1080000+25920*n)*p2^5+105/64
*(608149248-41158464*n+1019664*n^2-9360*n^3)*p2^4+105/4*(1674720-24000*n+96*n^2
)*p4*p3*p2*p1+315/16*(23907415200-1906284412*n+160973146/3*n^2-796980*n^3+18770
/3*n^4-20*n^5)*p4^2+7/8*(3909600-60480*n)*p1^6+315/2*(-5026343096320+
11865816205859/6*n-24483041017351/90*n^2+782760218623/45*n^3-84599712067/144*n^
4+208504033/18*n^5-51541471/360*n^6+46072/45*n^7-149/48*n^8)*p4+315*(-\
3882648637440+33879532295617/10*n-116995689108857/120*n^2+11325635773393/90*n^3
-4021108300883/480*n^4+152169823499/480*n^5-1796942081/240*n^6+9408409/80*n^7-\
553927/480*n^8+1561/288*n^9)*p2-105840*p5*p2*p1^3+5040*p3*p2^2*p1^3+
2419149714652335/8*n^2-2961133*n^9+1838725/64*n^10-8575/64*n^11+35*(
430434636480-64083837396*n+3168568632*n^2-65342592*n^3+564396*n^4-1680*n^5)*p3^
2+315*(1737401610240-2052973768891/2*n+12056908540609/60*n^2-2100178458793/120*
n^3+36481672265/48*n^4-208940821/12*n^5+26036207/120*n^6-171697/120*n^7+63/16*n
^8)*p1^2+105/4*(38728584960-5073265176*n+202202148*n^2-3128292*n^3+24876*n^4-84
*n^5)*p1^4
[7, 5, 3, 2, 2]
3117706018560000*n+22680*p5*p2^3*p1+35/3*(3195888-42480*n+144*n^2)*p4*p3*p1^3+
14*(3122160-47880*n)*p5*p2*p1^3+21*(-59792560+1449660*n-8100*n^2)*p5*p2^2*p1+35
/3*(3818880-44640*n)*p3^2*p2*p1^2-892080*p8*p6-859320*p10*p4+280/3*(-3622180320
+151424625*n-1767150*n^2+6765*n^3)*p9*p1+105/2*(-4904142912+180604194*n-1731990
*n^2+3876*n^3)*p8*p2+35/6*(4486320-62208*n)*p3*p2^3*p1+35/6*(-220032+1728*n)*p3
*p2^2*p1^3+105/2*(373535784-11939562*n+101742*n^2-420*n^3)*p8*p1^2+40*(-\
5837470632+188907208*n-1320648*n^2+2240*n^3)*p7*p3+20*(-30809520+636888*n-1848*
n^2)*p7*p1^3+35*(-6780141144+230560920*n-2031666*n^2+7872*n^3-6*n^4)*p6*p4-\
1375920*p12*p2+60*(522636744-49985768/3*n+147616*n^2-784/3*n^3)*p7*p2*p1+140/3*
(587538912-15886758*n+102690*n^2-240*n^3)*p6*p3*p1+35*(-46917276+1223126*n-\
10146*n^2+28*n^3)*p6*p2*p1^2+42*(673327200-19765870*n+176170*n^2-720*n^3)*p5*p4
*p1+28*(683376960-15628020*n+79380*n^2)*p5*p3*p2+28*(-47613240+862380*n-1980*n^
2)*p5*p3*p1^2+35/8*(-64462752+1424808*n-8424*n^2)*p4*p2^3+140/27*(-52682400+
648000*n)*p3^3*p1+35/6*(-54308160+717120*n)*p3^2*p2^2+105/8*(4949728-119480*n+
888*n^2)*p4*p2^2*p1^2+35/8*(-178720+2304*n)*p4*p2*p1^4+105/8*(774095112-\
20646080*n+170400*n^2-400*n^3)*p4^2*p2+105/8*(-57347544+1495360*n-16320*n^2+80*
n^3)*p4^2*p1^2+84*(39631312080-7610975525/3*n+105311885/2*n^2-1373815/3*n^3+
2835/2*n^4)*p5*p2*p1+70*(45422314008-2775730794*n+52693284*n^2-416236*n^3+1510*
n^4)*p4*p3*p1+35/3*(712788384-13792320*n+69120*n^2)*p4*p3^2+35/8*(-29628928+
919920*n-6480*n^2)*p2^2*p1^4+7/12*(1068000-20160*n)*p2*p1^6+168*(-4069594500960
+1925989337753/3*n-415954521395/12*n^2+6622361235/8*n^3-230780855/24*n^4+
1354031/24*n^5-945/8*n^6)*p5*p1+140*(1030057520448-367473408335/3*n+9893595739/
2*n^2-265923637/3*n^3+1556869/2*n^4-2900*n^5)*p3*p2*p1+105*(-6048976030656+
4594842409487/5*n-46630554116*n^2+12178928677/12*n^3-125324819/12*n^4+3219811/
60*n^5-1357/12*n^6)*p4*p2+105*(752813279712-1400867048387/15*n+11952479663/3*n^
2-913276141/12*n^3+8931263/12*n^4-258467/60*n^5+149/12*n^6)*p4*p1^2+7/3*(-\
19594080+424800*n-1440*n^2)*p3*p1^5+35/4*(499335744-21805908*n+324468*n^2-2016*
n^3)*p2^3*p1^2+105/4*(52281000192-3069055216*n+57311090*n^2-447740*n^3+1354*n^4
)*p4*p2^2+35/4*(299540064-11195608*n+117832*n^2-576*n^3)*p4*p1^4+70/3*(
55523885760-3021264216*n+46836000*n^2-237720*n^3)*p3^2*p2+35*(-5474454352+
267298908*n-4131204*n^2+22224*n^3)*p3*p2^2*p1+70/3*(-4616409384+215127000*n-\
2746800*n^2+9720*n^3)*p3^2*p1^2+35/32*(-291168+5184*n)*p2^4*p1^2+120*(-\
202862340240+51356479076/3*n-1401167558/3*n^2+5219536*n^3-75796/3*n^4+70/3*n^5)
*p7*p1+70/3*(395167152-15126528*n+158040*n^2-336*n^3)*p3*p2*p1^3+70*(-\
299803995720+23475058640*n-1143964249/2*n^2+10841899/2*n^3-40013/2*n^4+43/2*n^5
)*p6*p2+70*(27888993984-1867345292*n+79580757/2*n^2-702609/2*n^3+3321/2*n^4-5/2
*n^5)*p6*p1^2+56*(-362801238300+27405241000*n-610836615*n^2+4767350*n^3-14175*n
^4)*p5*p3+28*(-3210616440+163249410*n-2393340*n^2+11130*n^3)*p5*p1^3-70560*p5*
p1^5+35/2*(634744008-17485692*n+125628*n^2-240*n^3)*p6*p2^2+35/6*(1849440-21240
*n+72*n^2)*p6*p1^4+105/2*(-4470879632+702977104/3*n-12503275/3*n^2+110018/3*n^3
-455/3*n^4)*p4*p2*p1^2+420*p6*p4*p2*p1^2-3360*p6*p4*p3*p1+105/16*(24640-320*n)*
p4^2*p2*p1^2+20*(2227680-10752*n)*p7*p3*p2+15*(-203392+1344*n)*p7*p2^2*p1+28*(
3076680-30150*n+90*n^2)*p6*p5*p1+35/2*(3205224-36228*n+60*n^2)*p6*p4*p2+35/2*(-\
228840+3204*n-12*n^2)*p6*p4*p1^2+35/4*(14304-144*n)*p6*p2^2*p1^2+14*(2370480-\
17280*n)*p5*p4*p3+35/4*(-240000+1920*n)*p4^2*p3*p1+35*(2308320-12960*n)*p8*p3*
p1+140/3*(-111415609152+10851600490*n-353637294*n^2+4793732*n^3-26814*n^4+30*n^
5)*p3*p1^3+105/4*(-175704+1872*n)*p8*p2*p1^2+30*(3227952-38416*n+112*n^2)*p7*p4
*p1+140/3*(2471040-29700*n)*p9*p2*p1+105/2*(-136904373600+39889930732/3*n-\
1360327918/3*n^2+21820904/3*n^3-186290/3*n^4+260*n^5)*p2^2*p1^2+35/2*(
12991276416-3045271316/3*n+26438986*n^2-860884/3*n^3+1134*n^4)*p2*p1^4+280*(-\
24727879953792+21986416634423/3*n-9034206207005/12*n^2+844973066953/24*n^3-\
19881671075/24*n^4+82839137/8*n^5-563489/8*n^6+1255/6*n^7)*p3*p1+210*(
6025870329984-40800663247087/30*n+3244900113361/30*n^2-288896611331/72*n^3+
624032525/8*n^4-309191881/360*n^5+664121/120*n^6-329/18*n^7)*p2*p1^2+6720*p3*p2
*p1^5-235200*p3^2*p1^4-1293600*p9*p1^3+3780*p2^3*p1^4-1164240*p5^2*p1^2+840/11*
(-23317008+371514*n-858*n^2)*p11*p1+42*(-26760360+350075*n-275*n^2)*p10*p2+42*(
1750320-18535*n+55*n^2)*p10*p1^2+280/9*(-27080460+201960*n)*p9*p3+5670*p4*p2^4+
70/9*(1827360-8640*n)*p6*p3^2+35/12*(-162432+1296*n)*p6*p2^3+42/5*(2788800-\
25200*n)*p5^2*p2+105/4*(-35371440+386784*n-864*n^2)*p8*p4+105/8*(2408400-19872*
n)*p8*p2^2+24*(-36487080+351960*n-840*n^2)*p7*p5+7560*p8*p1^4+92400*p9*p4*p1+
105/32*(-245760+1920*n)*p4^2*p2^2-588000*p4*p3^2*p2+50400*p4*p3^2*p1^2-1890*p4*
p2^3*p1^2-2741760*p7*p3*p1^2+73920*p7*p2*p1^3-1260*p6*p4*p2^2+20160*p6*p5*p3+
45360*p8*p5*p1+49140*p8*p4*p2-3780*p8*p4*p1^2+107520*p7*p6*p1+40320*p7*p5*p2+
26880*p7*p4*p3+131040*p11*p2*p1+36960*p10*p3*p1-4620*p10*p2*p1^2+340016579/16*n
^9-5870935/48*n^10+8575/24*n^11+95760*p4*p3*p2^2*p1+35280*p5*p4*p1^3-3360*p4*p3
*p2*p1^3-840*p6*p2*p1^4-6720*p7*p4*p2*p1-554400*p9*p5+13860*p10*p2^2+47040*p6*
p3*p1^3-5040*p6*p5*p2*p1-2822400*p13*p1+32340*p6^2*p2+76440*p12*p1^2+21*(-\
265720+2880*n)*p5*p4*p2*p1+70/3*(-190296+1152*n)*p6*p3*p2*p1+35*(-62716168+
1393920*n-8448*n^2)*p4*p3*p2*p1-725760*p5*p3*p2^2+110880*p5*p3*p2*p1^2-1008000*
p5*p3^2*p1-2940*p6^2*p1^2+12600*p6*p4^2-483840*p7^2+33990469985980907/12*n^3-\
524160*p11*p3-7542941642021779/12*n^4+30844800*p14+84*(30140510400-1531768645*n
+41471045/2*n^2-76505*n^3+55/2*n^4)*p10+84/5*(-6992735400+231158550*n-1828050*n
^2+6300*n^3)*p5^2+7/32*(4212000-77760*n)*p2^5+105*(1263422983680-133937956884*n
+4514886003*n^2-58893738*n^3+292659*n^4-360*n^5)*p8+105/4*(-387882028320+
29585694652*n-684624472*n^2+6217960*n^3-28820*n^4+40*n^5)*p4^2+140*(
17804881654560-18132671857323/5*n+251622874445*n^2-30281907479/4*n^3+104754807*
n^4-3307132/5*n^5+1630*n^6-5/4*n^7)*p6+105*(-31998383088768+9356407095107*n-\
4687969345096/5*n^2+168904168899/4*n^3-11356102799/12*n^4+135106999/12*n^5-\
4437173/60*n^6+719/3*n^7)*p2^2+420*(53371050024960-234823891629934/5*n+
9771655402796203/720*n^2-124820272281577/72*n^3+317653178890613/2880*n^4-\
5325661898833/1440*n^5+97044085519/1440*n^6-24745651/36*n^7+11476417/2880*n^8-\
3367/288*n^9)*p2+7/6*(-1008024480+56604120*n-907080*n^2+5040*n^3)*p1^6+210*(
72345859447680-28673178517593*n+39262259634909/10*n^2-4851496826433/20*n^3+
177330688411/24*n^4-1371633503/12*n^5+9084351/10*n^6-108883/30*n^7+149/24*n^8)*
p4+35*(-944976924288+2545065000712/15*n-32526694283/3*n^2+640476599/2*n^3-\
28354787/6*n^4+1038631/30*n^5-189/2*n^6)*p1^4+35/3*(-38459232+422604*n-1260*n^2
)*p6^2-5385990268387050*n^2-186445492960055/48*n^6+1089417300346711/16*n^5+35/
16*(3427200-28800*n)*p4^3+35/2*(1263051369792-144657185004*n+5593499310*n^2-\
96525792*n^3+829554*n^4-3348*n^5)*p2^3+140/3*(-6736084694784+1013692280714*n-\
50111663544*n^2+1018967980*n^3-8863050*n^4+31500*n^5)*p3^2+35/16*(-6108793344+
286850880*n-4370976*n^2+26784*n^3)*p2^4+70*(240589440-4464642*n+9282*n^2)*p12+
420*(-24711739822080+453936525509083/30*n-748672140899383/240*n^2+
52709330470861/180*n^3-8156069551663/576*n^4+60355615319/160*n^5-8373022117/
1440*n^6+1620089/30*n^7-171787/576*n^8+245/288*n^9)*p1^2-50947766947/24*n^8+
728136139969/6*n^7
[7, 5, 2, 2, 2, 2]
161280*p7*p4*p2*p1+5040*p2^2*p1^6-58531477240320000*n+8960*p3*p1^7+11719330/9*n
^10-2574668635/9*n^9+103631636990/3*n^8-6548568611165/3*n^7+218856752349970/3*n
^6-1297362674103405*n^5+107860627479428390/9*n^4-483473311858365500/9*n^3+
101492778969510600*n^2+560*(123056388-2305760*n+10320*n^2)*p4*p3*p2*p1+336*(
506940-4320*n)*p5*p4*p2*p1+1120/3*(313860-1440*n)*p6*p3*p2*p1+140/3*(4008-36*n)
*p6*p2*p1^4+224*(-2846480+14400*n)*p5*p4*p3+112*(-123620+1440*n)*p5*p4*p1^3+
2240/3*(-5159880+47520*n)*p9*p2*p1+560*(-5464200+28800*n)*p8*p3*p1+1120/9*(-\
71820+360*n)*p6*p3*p1^3+140*(-27720+216*n)*p6*p2^2*p1^2+3360*(-8685654979392+
25225994465225/12*n-181822128901*n^2+352998980651/48*n^3-1206016487/8*n^4+
12600659/8*n^5-65649/8*n^6+959/48*n^7)*p2*p1^2+4480*(32724699361200-\
30105024767779/3*n+19300198055797/18*n^2-1878667794305/36*n^3+90365669911/72*n^
4-1076868715/72*n^5+6038005/72*n^6-14635/72*n^7)*p3*p1+448*(-8506740+96570*n-90
*n^2)*p6*p5*p1+280*(-4049976+37800*n-36*n^2)*p6*p4*p2+116480*p7*p1^5+280*(
1043784-12132*n+12*n^2)*p6*p4*p1^2+127948800*p13*p1+160*(-58576+336*n)*p7*p2*p1
^3-8575/3*n^11+13440/11*(56384900-968682*n+858*n^2)*p11*p1+320*(-2788240+13440*
n)*p7*p3*p2+672*(38135790-423885*n+165*n^2)*p10*p2+672*(-7880950+121055*n-55*n^
2)*p10*p1^2+4480/9*(39306960-237600*n)*p9*p3+2240/9*(970200-11880*n)*p9*p1^3+
320*(679280-3360*n)*p7*p3*p1^2+240*(324240-2016*n)*p7*p2^2*p1+1120/9*(-2091600+
7200*n)*p6*p3^2+140/3*(150984-972*n)*p6*p2^3+210*(-2961900+19440*n)*p8*p2^2+420
*(51653700-462240*n+720*n^2)*p8*p4+420*(608580-4320*n)*p8*p2*p1^2+480*(-7659680
+78288*n-112*n^2)*p7*p4*p1+672/5*(-4202100+37800*n)*p5^2*p2-1120*p6*p1^6+672/5*
(1098300-12600*n)*p5^2*p1^2+70*(-98220+720*n)*p8*p1^4+384*(58326240-595560*n+
840*n^2)*p7*p5+105/2*(252000-1440*n)*p4^2*p2^2+35/2*(13440-160*n)*p4^2*p1^4-\
68040*p4*p2^4+56/3*(-110400+720*n)*p3*p2*p1^5+140*(369600-1600*n)*p4^2*p3*p1+
105*(-60480+480*n)*p4^2*p2*p1^2+2240*(-1603792712128+1208471794543/6*n-\
101487477397/12*n^2+883835417/6*n^3-12908435/12*n^4+3170*n^5)*p3*p2*p1+960*(-\
1070778604+33396412*n-228704*n^2+308*n^3)*p7*p2*p1+112/3*(184142200-8163380*n+
88680*n^2-100*n^3)*p3*p1^5+140*(-1489971528+254255920/3*n-8745835/6*n^2+26000/3
*n^3-149/6*n^4)*p4*p1^4+1120*(427736551590-32890688225*n+1492894365/2*n^2-\
5844364*n^3+32277/2*n^4-12*n^5)*p6*p2+1120*(-61645492254+4825562041*n-241304997
/2*n^2+2207087/2*n^3-5937/2*n^4+5/2*n^5)*p6*p1^2+2240/3*(-1274320152+36808900*n
-209010*n^2+230*n^3)*p6*p3*p1+560*(146948490-4004805*n+23370*n^2-33*n^3)*p6*p2*
p1^2+896*(521127417840-117091651435/3*n+1656732205/2*n^2-16574075/3*n^3+26775/2
*n^4)*p5*p3+672*(-1462258700+45294750*n-341710*n^2+720*n^3)*p5*p4*p1+448*(
10120908720-4087301315/6*n+57559535/4*n^2-641725/6*n^3+945/4*n^4)*p5*p1^3+420*(
-74480422008+4106342886*n-130669197/2*n^2+398238*n^3-1707/2*n^4)*p4*p2^2+1120/3
*(-79827852020+4130807520*n-56088720*n^2+247800*n^3)*p3^2*p2+1120/3*(
11681793340-653886760*n+10426200*n^2-48200*n^3)*p3^2*p1^2+448*(-975979060+
20247420*n-94500*n^2)*p5*p3*p2+448*(171195500-4431600*n+23400*n^2)*p5*p3*p1^2+
70*(159766128-6389854*n+69144*n^2-282*n^3)*p2^2*p1^4+2688*(5982533789200-\
1988221022415/2*n+113442419495/2*n^2-33709608175/24*n^3+123741715/8*n^4-1654205
/24*n^5+945/8*n^6)*p5*p1+336*(115919520-2459880*n+11880*n^2)*p5*p2^2*p1+1680*(
8217593775720-3754692197117/3*n+62148352807*n^2-3753287686/3*n^3+42438313/4*n^4
-41767*n^5+251/4*n^6)*p4*p2+1680*(-1299592364840+539686188103/3*n-52069862845/6
*n^2+734377499/4*n^3-20928305/12*n^4+84755/12*n^5-149/12*n^6)*p4*p1^2+224*(-\
17915200+406650*n-1890*n^2)*p5*p2*p1^3+560/3*(-20337916+460080*n-2520*n^2)*p4*
p3*p1^3+2240/3*(241675515936-169600804237/6*n+4600576005/4*n^2-60326665/3*n^3+
595675/4*n^4-795/2*n^5)*p3*p1^3+840*(258234507824-27705032849*n+2022846219/2*n^
2-31234559/2*n^3+212501/2*n^4-639/2*n^5)*p2^2*p1^2+280*(-37430611072+
11236646333/3*n-387137503/3*n^2+22336423/12*n^3-33569/3*n^4+119/4*n^5)*p2*p1^4+
70*(78320088-1402488*n+6156*n^2)*p4*p2^3+14/3*(-212200+2880*n)*p4*p1^6+2240/27*
(111132000-1296000*n)*p3^3*p1+280/3*(66780000-799200*n)*p3^2*p2^2+280/9*(
1713600-21600*n)*p3^2*p1^4+35/2*(526176-7776*n)*p2^4*p1^2+210*(-13266936+253128
*n-1296*n^2)*p4*p2^2*p1^2+35/3*(-50976+648*n)*p2^3*p1^4+1920*(343974035300-\
31168478600*n+898870903*n^2-28658840/3*n^3+30107*n^4-70/3*n^5)*p7*p1+112/5*(
2262200-42000*n)*p5*p1^5+210*(-1076411280+24210480*n-155400*n^2+240*n^3)*p4^2*
p2+210*(192206000-5531680*n+43360*n^2-80*n^3)*p4^2*p1^2+560/3*(-1001339920+
15986880*n-57600*n^2)*p4*p3^2+280*(-886759422+21367971*n-119700*n^2+153*n^3)*p6
*p2^2+280/3*(-20639790+554083*n-2712*n^2+5*n^3)*p6*p1^4+70*(1872984-36248*n+204
*n^2)*p4*p2*p1^4+4480/3*(7306391400-331458270*n+3827340*n^2-7590*n^3)*p9*p1+840
*(7178322960-248130630*n+1959930*n^2-3060*n^3)*p8*p2+560/3*(-11805600+144000*n)
*p3^2*p2*p1^2+840*(-1131225000+45248490*n-451230*n^2+660*n^3)*p8*p1^2+640*(
8700971160-813065680/3*n+1605800*n^2-6440/3*n^3)*p7*p3+320*(161531748-16419844/
3*n+42560*n^2-140/3*n^3)*p7*p1^3+280/3*(-6876360+84240*n)*p3*p2^3*p1+560*(
10133874450-330536143*n+2413149*n^2-6209*n^3+3*n^4)*p6*p4+280/3*(995400-10800*n
)*p3*p2^2*p1^3+28/3*(-18686960+619620*n-3780*n^2)*p2*p1^6+1120/3*(-1427641904+
69152814*n-940230*n^2+3840*n^3)*p3*p2*p1^3+140*(-1212776496+51298146*n-620568*n
^2+2862*n^3)*p2^3*p1^2+120960*p6*p5*p2*p1+44800*p6*p4*p3*p1+840*(10852841848-\
634169352*n+22485635/2*n^2-72222*n^3+353/2*n^4)*p4*p2*p1^2+1344*(-71358060880+
9596391755/2*n-389554865/4*n^2+1372825/2*n^3-6615/4*n^4)*p5*p2*p1+1120*(-\
83011819620+16301084386/3*n-313066289/3*n^2+1982720/3*n^3-4345/3*n^4)*p4*p3*p1+
560*(10123847760-483151984*n+6389160*n^2-28200*n^3)*p3*p2^2*p1+9408000*p4*p3^2*
p2-2240000*p4*p3^2*p1^2-4480*p4*p3*p1^5+45360*p4*p2^3*p1^2-2520*p4*p2^2*p1^4+
32256000*p5*p3^2*p1-268800*p6*p5*p3-13440*p6*p5*p1^3+15120*p6*p4*p2^2+560*p6*p4
*p1^4-3628800*p8*p5*p1-907200*p8*p4*p2+302400*p8*p4*p1^2-4623360*p7*p6*p1-\
967680*p7*p5*p2+322560*p7*p5*p1^2-358400*p7*p4*p3-17920*p7*p4*p1^3-3144960*p11*
p2*p1-492800*p10*p3*p1+110880*p10*p2*p1^2-2956800*p9*p4*p1+268800*p4*p3*p2*p1^3
-2016000*p4*p3*p2^2*p1-6048000*p5*p3*p2*p1^2-10080*p6*p4*p2*p1^2+13910400*p5*p3
*p2^2+201600*p5*p3*p1^4-544320*p5*p2^3*p1+60480*p5*p2^2*p1^3+3360*(-\
91149397794000+146130471645795/4*n-45297250624910/9*n^2+14824841154697/48*n^3-\
1307398080527/144*n^4+763471363/6*n^5-58720873/72*n^6+40553/16*n^7-149/48*n^8)*
p4+1680*(41167451783232-146044840620619/12*n+1219426800240*n^2-2571258285965/48
*n^3+4440670031/4*n^4-11115235*n^5+230673/4*n^6-2237/16*n^7)*p2^2+12902400*p7^2
+560*(1650333300192-4124194337323/12*n+476444214259/18*n^2-141139823819/144*n^3
+336728803/18*n^4-6518639/36*n^5+7469/9*n^6-245/144*n^7)*p1^4+6720*(-\
64425931217280+114531167322601/2*n-1203235977470201/72*n^2+51476080857055/24*n^
3-38992403102627/288*n^4+52598711045/12*n^5-2624767189/36*n^6+29703721/48*n^7-\
91017/32*n^8+301/48*n^9)*p2+6720*(30631205047680-57913831775516/3*n+
297962350908187/72*n^2-29440765438579/72*n^3+6062699548657/288*n^4-19114420403/
32*n^5+341487593/36*n^6-663285/8*n^7+12355/32*n^8-245/288*n^9)*p1^2+1680*(-\
1772050222800+187819918215*n-12334635075/2*n^2+72886995*n^3-528465/2*n^4+240*n^
5)*p8+1120*(-370351800+6691230*n-8190*n^2)*p12+280*(-1746083820528+196683522267
*n-7128556929*n^2+422118639/4*n^3-717327*n^4+8613/4*n^5)*p2^3+35*(-3528000+
16800*n)*p4^3+560/3*(61090848-675360*n+1008*n^2)*p6^2+7/2*(-3888000+58320*n)*p2
^5+1344/5*(10586856000-347880750*n+2596650*n^2-6300*n^3)*p5^2+35*(8320131648-\
342250164*n+4152384*n^2-19116*n^3)*p2^4+1/3*(1943200-47040*n)*p1^8+2240/3*(
9163927350480-4157584934960/3*n+67447941005*n^2-3861295660/3*n^3+9477125*n^4-\
28350*n^5)*p3^2+56/3*(5210041920-1417374215/3*n+28617935/2*n^2-486265/3*n^3+945
/2*n^4)*p1^6-781401600*p14+420*(556913389200-125924509480/3*n+908725475*n^2-\
19737140/3*n^3+21525*n^4-20*n^5)*p4^2+14747040*p10*p4+6988800*p11*p3+349440*p11
*p1^3+27518400*p12*p2-9172800*p12*p1^2+23587200*p8*p6-166320*p10*p2^2-6160*p10*
p1^4+17740800*p9*p5+1344*(-44521577100+4466757295/2*n-112176625/4*n^2+137445/2*
n^3-55/4*n^4)*p10+2240*(-23627222679060+9702483553413/2*n-1005268889515/3*n^2+
78003815517/8*n^3-1461631843/12*n^4+2400605/4*n^5-13753/12*n^6+5/8*n^7)*p6-\
564480*p6^2*p2+188160*p6^2*p1^2-117600*p6*p4^2
[7, 4, 4, 3]
-175459198795776*n+112*(-51063359508+11309079779/2*n-843542299/4*n^2+3474957*n^
3-111293/4*n^4+175/2*n^5)*p3*p2*p1-1512*p3^2*p2^3+61152*p12*p2+16*(-240408+3024
*n)*p7*p3*p2-2352*p6^2*p2+112/5*(-39600+360*n)*p6*p5*p1+14*(-136140+1560*n)*p6*
p4*p2+28*(-61128+432*n)*p8*p3*p1+28*(1621020-39600*n+240*n^2)*p4*p3*p2*p1+56/3*
(6732-72*n)*p6*p3*p2*p1+112/3*(-28620+360*n)*p9*p2*p1-3024*p8*p3^2+51408*p8*p6+
14/3*(31500-360*n)*p4*p3^2*p2+102816*p5*p3*p2^2-6720*p9*p3*p2-4032*p6*p5*p3+224
/9*(2394360-41175*n+135*n^2)*p9*p3+21*(1610640-11520*n)*p8*p4+224*(
1516923252288-2168360048314/5*n+1706037998213/40*n^2-30200519087/16*n^3+
660120961/16*n^4-37302411/80*n^5+221169/80*n^6-49/8*n^7)*p3*p1+168*(-\
328571947776+404365206247/6*n-18793022257/4*n^2+291229057/2*n^3-26796113/12*n^4
+53491/3*n^5-175/3*n^6)*p2*p1^2+84*(-31446842616+3286840493*n-112430207*n^2+
1653150*n^3-12100*n^4+40*n^5)*p4*p1^2+112/3*(3105236196-233529930*n+6290712*n^2
-78498*n^3+396*n^4)*p3*p1^3+42*(4660364880-358623410*n+9154698*n^2-102160*n^3+
408*n^4)*p2^2*p1^2+14*(-169603056+8336688*n-168192*n^2+1344*n^3)*p2*p1^4+84*(
362509103736-165384770197/3*n+8401968362/3*n^2-176781065/3*n^3+1534885/3*n^4-\
1515*n^5)*p4*p2+672/5*(219019528440-64949229145/2*n+6446783135/4*n^2-33878715*n
^3+1269205/4*n^4-2555/2*n^5)*p5*p1+1664739748/15*n^8-100369463488/15*n^7+
3235769756296/15*n^6-56631657758704/15*n^5+523252654441132/15*n^4-\
789577622182104/5*n^3+1510287600121888/5*n^2-2688*p3^3*p2*p1-1100736*p5^2*p2+56
/5*(-233100+1800*n)*p5*p4*p3-1188432*p8*p2^2+96/5*(2033640-15120*n)*p7*p5+672/
11*(365508-3432*n)*p11*p1+168/5*(1432860-17160*n)*p10*p2+16632*p6*p2^3+56/9*(-\
397224+5211*n-27*n^2)*p6*p3^2+112/3*(-19034280+572067*n-4653*n^2+18*n^3)*p6*p3*
p1+28*(334236-8616*n+48*n^2)*p6*p2*p1^2+168/5*(-14588700+266400*n-1200*n^2)*p5*
p4*p1+21*(-2812411896+158450640*n-2473320*n^2+10680*n^3)*p4*p2^2+112/5*(-\
46044180+1401390*n-10710*n^2)*p5*p3*p2+56/3*(-3420799560+441598851/2*n-19000419
/4*n^2+85077/2*n^3-525/4*n^4)*p3^2*p2+112/5*(571680-10440*n)*p5*p3*p1^2+56/3*(
116575344-5586714*n+86184*n^2-414*n^3)*p3^2*p1^2+84/5*(1076760-12240*n)*p5*p2^2
*p1+21/2*(-36338400+770400*n-4800*n^2)*p4^2*p2+28/3*(-58362192+1960695*n-18945*
n^2+90*n^3)*p4*p3^2+7/2*(2609280-21600*n)*p4*p2^3+112/27*(3131460-80676*n+324*n
^2)*p3^3*p1+14/3*(5500080-148806*n+918*n^2)*p3^2*p2^2+42*(-3983544+78912*n-288*
n^2)*p8*p1^2+32*(368231724-15157422*n+174258*n^2-756*n^3)*p7*p3+28*(368602248-\
12644535*n+103725*n^2-390*n^3)*p6*p4+14*(-32816184+799158*n-3510*n^2)*p6*p2^2+
104832*p11*p3+40320*p9*p5+224/3*(112062960-3771315*n+32085*n^2-90*n^3)*p9*p1+42
*(266040360-9772776*n+82296*n^2)*p8*p2+96*(8876253204-670529790*n+15622614*n^2-\
136584*n^3+504*n^4)*p7*p1+56*(16980722748-2688528505/2*n+129166835/4*n^2-532757
/2*n^3+1993/4*n^4)*p6*p2+48*(-12697272+298368*n-2016*n^2)*p7*p2*p1+56*(-\
729441744+36747267*n-586461*n^2+3798*n^3-12*n^4)*p6*p1^2+224/5*(21339324000-\
3466089405/2*n+179049315/4*n^2-904365/2*n^3+7665/4*n^4)*p5*p3+112/5*(33818220-\
1061640*n+10080*n^2)*p5*p1^3+42*(80883780-2856200*n+37680*n^2-160*n^3)*p4*p2*p1
^2+28*(192385272-8672094*n+128130*n^2-612*n^3)*p3*p2^2*p1+336*p6*p3^2*p2+60480*
p5*p3^2*p1+28/3*(-76536+1656*n)*p3^2*p2*p1^2+14/3*(-113400+1296*n)*p3*p2^3*p1+
336/5*(-1487471160+80515950*n-1297770*n^2+7140*n^3)*p5*p2*p1+18816*p3^4+7*(-\
6287112+146016*n-864*n^2)*p2^3*p1^2+56/3*(-3620088+139320*n-1584*n^2)*p3*p2*p1^
3+56*(-1818112212+103575363*n-1923735*n^2+15600*n^3-60*n^4)*p4*p3*p1+2744*n^10-\
13638856/15*n^9+112*(-1098768630960+2240099106757/10*n-125694049967/8*n^2+
7668749163/16*n^3-104387995/16*n^4+2834449/80*n^5-535/16*n^6)*p6-27216*p2^5+112
/3*(408189427056-628171836303/10*n+26445021315/8*n^2-1231040535/16*n^3+13926855
/16*n^4-399861/80*n^5+147/16*n^6)*p3^2+14*(-72537267456+8194115322*n-300428964*
n^2+4254120*n^3-18702*n^4)*p2^3+168*(-4712054081280+5557018996919/3*n-\
759293822195/3*n^2+188509644487/12*n^3-959691809/2*n^4+14354397/2*n^5-288383/6*
n^6+405/4*n^7)*p4+84*(-74012864640+7993859970*n-277124691*n^2+3633234*n^3-15873
*n^4)*p8+84*(2033623756032-8835464928491/15*n+352490992225/6*n^2-15716974693/6*
n^3+167128699/3*n^4-5437131/10*n^5+3763/2*n^6)*p2^2+28*(37851653376-5333906580*
n+252907008*n^2-5555916*n^3+64560*n^4-336*n^5)*p1^4-1370880*p14+336*(
1633907808000-29046822475597/30*n+22876151171339/120*n^2-4019465182627/240*n^3+
35243707627/48*n^4-4058920349/240*n^5+50699647/240*n^6-43211/30*n^7+49/12*n^8)*
p1^2+7/4*(302983200-11751264*n+85536*n^2)*p2^4+336/25*(389831400-13497750*n+
91350*n^2)*p5^2+336*(-3640793875200+95177111979161/30*n-36354217162569/40*n^2+
83211256347557/720*n^3-117534754839/16*n^4+175956407561/720*n^5-1014668881/240*
n^6+12729469/360*n^7-322/3*n^8)*p2+56*(-13366080+262626*n-546*n^2)*p12+28/3*(
2287152-32382*n+126*n^2)*p6^2+336/5*(-1698977280+90147915*n-1263405*n^2+4290*n^
3)*p10+21*(22122238320-1712658360*n+39181200*n^2-311400*n^3+1200*n^4)*p4^2
[7, 4, 4, 2, 2]
3117199622799360*n-36288*p2^4*p1^2+108864*p2^5-8960*p9*p3*p1^2+26880*p9*p3*p2+
89600*p9*p4*p1-8960*p6*p4*p3*p1-3010560*p13*p1+224/5*(-11976300+128520*n)*p5*p2
^2*p1+448/15*(616140-7560*n)*p5*p2*p1^3+224*(361184025672-46321352070*n+
4095034875/2*n^2-231342095/6*n^3+587175/2*n^4-3715/6*n^5)*p4*p1^2+28*(639360-\
6480*n)*p4*p2^2*p1^2+896/9*(-55118432988+23324145527/4*n-1733647575/8*n^2+
6974249/2*n^3-181905/8*n^4+147/4*n^5)*p3*p1^3+112*(-60512011632+5675151696*n-\
173807639*n^2+2028258*n^3-7299*n^4)*p2^2*p1^2+112/3*(6105511200-510035122*n+
14512098*n^2-162528*n^3+504*n^4)*p2*p1^4+1792/5*(-1923200527920+3688746242335/
12*n-400463855015/24*n^2+1141194845/3*n^3-83474545/24*n^4+33355/4*n^5)*p5*p1+
224*(-2796977951256+1261344520190/3*n-40748437725/2*n^2+2265497705/6*n^3-\
4826205/2*n^4+10195/2*n^5)*p4*p2+224/45*(-12200880+594600*n-7920*n^2)*p3*p1^5+
56/3*(115026912-3324240*n+21384*n^2)*p2^3*p1^2+28/3*(-5527368+139104*n-864*n^2)
*p2^2*p1^4+448/3*(13582431258-3931212869/4*n+178010385/8*n^2-651919/4*n^3+1143/
8*n^4)*p6*p1^2+1792/15*(-172797350670+54409999175/4*n-2476325355/8*n^2+8450365/
4*n^3-32445/8*n^4)*p5*p3+896/15*(-1608932430+96716445*n-1785525*n^2+9450*n^3)*
p5*p1^3+56*(20507152260-1039716840*n+13255080*n^2-48720*n^3)*p4*p2^2+56/3*(
155218500-8000600*n+126000*n^2-480*n^3)*p4*p1^4+448/9*(25377575700-5769686403/4
*n+187375779/8*n^2-513189/4*n^3+1197/8*n^4)*p3^2*p2+448/9*(-2504505156+
600610629/4*n-22988877/8*n^2+72747/4*n^3-147/8*n^4)*p3^2*p1^2+896/81*(-49599108
+1468368*n-8262*n^2)*p3^3*p1+112/9*(-23737752+442152*n-1296*n^2)*p3^2*p2^2+112/
27*(-198144+4968*n)*p3^2*p1^4+256*(-96666837708+25311123019/3*n-1379840693/6*n^
2+6296759/3*n^3-17311/6*n^4)*p7*p1+448/3*(-133717577958+40365970235/4*n-\
1678458879/8*n^2+4475785/4*n^3-7593/8*n^4)*p6*p2+28*(300392400-6960000*n+34800*
n^2)*p4^2*p2+28*(-29516400+886800*n-5600*n^2)*p4^2*p1^2+224/9*(468952260-\
13800735*n+86265*n^2-90*n^3)*p4*p3^2+28/3*(-8847360+84240*n)*p4*p2^3+6713280*p8
*p2^2+1792/11*(-11447436+204204*n)*p11*p1+448/5*(-8033190+57420*n)*p10*p2+448/5
*(874170-13860*n)*p10*p1^2-244608*p12*p2+1792/3*(-11632276925856+41529913566469
/12*n-713099746427/2*n^2+264259595423/16*n^3-17638029433/48*n^4+182817913/48*n^
5-773663/48*n^6+539/24*n^7)*p3*p1+448*(2841807087072-644537225431*n+51228806454
*n^2-22179249959/12*n^3+64113499/2*n^4-3004741/12*n^5+1337/2*n^6)*p2*p1^2-\
376320*p9*p5+896/27*(-40770+540*n)*p9*p1^3+56*(-18545400+219600*n)*p8*p4-790272
*p5^2*p1^2+7112448*p5^2*p2+896/3*(478306735716-228074381545/4*n+18003347629/8*n
^2-35892381*n^3+1758803/8*n^4-1659/4*n^5)*p3*p2*p1+224/3*(-2081259276+94570404*
n-1207044*n^2+4176*n^3)*p3*p2^2*p1+448/9*(175584084-8261955*n+116685*n^2-378*n^
3)*p3*p2*p1^3+112*(-1913680800+100358160*n-1522120*n^2+6060*n^3)*p4*p2*p1^2+896
/5*(17389917930-1079864590*n+18884880*n^2-81480*n^3)*p5*p2*p1+448/3*(
22388987610-1501828010*n+61884785/2*n^2-210285*n^3+685/2*n^4)*p4*p3*p1-1956864*
p11*p3+224/9*(2608920-61461*n+189*n^2)*p3^2*p2*p1^2+112/9*(923724-9720*n)*p3*p2
^3*p1-1182720*p10*p4+112/9*(-54108+648*n)*p3*p2^2*p1^3-419328*p7*p2^2*p1+224/9*
(2424990-71280*n+360*n^2)*p4*p3*p1^3+1792/27*(-18462870+247995*n-135*n^2)*p9*p3
+224/3*(1878120-25920*n)*p8*p3*p1+64*(1670760-20720*n)*p7*p4*p1+128/3*(1128876-\
8568*n)*p7*p3*p2+128/3*(-159348+2184*n)*p7*p3*p1^2+896/15*(1379490-10710*n)*p6*
p5*p1+112/3*(786990-5220*n)*p6*p4*p2+112/3*(-103410+1260*n)*p6*p4*p1^2+22400*p6
*p4^2+448/27*(2476548-20115*n+27*n^2)*p6*p3^2+448/27*(9666-108*n)*p6*p3*p1^3+
448/15*(2178750-18900*n)*p5*p4*p3-66528*p6*p2^3+40320*p8*p3^2-725760*p8*p6-3136
*p6^2*p1^2+256/5*(-17666460+152880*n)*p7*p5+81536*p12*p1^2+9408*p6^2*p2+224/3*(
-3276105840+115828495*n-796245*n^2+710*n^3)*p6*p4+112/3*(171276972-2809656*n+
8424*n^2)*p6*p2^2+128*(196045500-5493964*n+25788*n^2)*p7*p2*p1+896/9*(323060946
-11178123*n+87003*n^2-66*n^3)*p6*p3*p1+224/3*(-15112296+346365*n-1377*n^2)*p6*
p2*p1^2+448/5*(331956450-10524500*n+65100*n^2)*p5*p4*p1+896/15*(294265230-\
6908580*n+34020*n^2)*p5*p3*p2+896/15*(-29632890+914865*n-5985*n^2)*p5*p3*p1^2+
896/45*(-243180+1890*n)*p5*p3^2*p1+56/3*(-236400+2400*n)*p4^2*p3*p1+6048*p3^2*
p2^3+112/9*(-134190+540*n)*p4*p3^2*p2+112/9*(22770-180*n)*p4*p3^2*p1^2-3584*p3^
3*p1^3-100800*p4^2*p2^2+896/9*(592470-2700*n)*p9*p2*p1-250880*p3^4+112/9*(
858444-24696*n+144*n^2)*p6*p1^4+128/3*(-15565284+508032*n-3696*n^2)*p7*p1^3+
1792/9*(-1748300040+78312315*n-835695*n^2+330*n^3)*p9*p1+112*(-1976310288+
63755280*n-349920*n^2)*p8*p2+112*(184697856-7058340*n+62820*n^2)*p8*p1^2+256/3*
(-2999329704+112619654*n-913458*n^2+1204*n^3)*p7*p3-508032*p5*p3*p2^2-1344*p6*
p3^2*p2+448*p6*p3^2*p1^2+86016*p3^3*p2*p1-2016*p3^2*p2^2*p1^2+114688*p7*p6*p1-\
1330560*p8*p2*p1^2+224/3*(-28138170+681060*n-3060*n^2)*p4*p3*p2*p1+40320*p4*p3*
p2^2*p1+71680*p7*p4*p3+112896*p5*p3*p2*p1^2+37632*p6*p5*p3-516096*p7^2+448/9*(-\
98838+540*n)*p6*p3*p2*p1-1128960*p5*p4*p2*p1+22176*p6*p2^2*p1^2-7168*p7*p3^2*p1
+236544*p10*p3*p1+381536386727968192/135*n^3-16862440657879712/27*n^4-\
166045681772096/45*n^6+601676556337024/9*n^5+32901120*p14+224*(592675855200-\
63523845723*n+4178206911/2*n^2-22535025*n^3+82905/2*n^4)*p8+56*(-182909595000+
42847076500/3*n-319726250*n^2+6383900/3*n^3-4150*n^4)*p4^2+896/3*(8341184091240
-1702739933748*n+2812087124207/24*n^2-53408000987/16*n^3+1788672205/48*n^4-\
1764661/16*n^5+2629/48*n^6)*p6-548800/27*n^10+235297216/27*n^9+896/9*(-\
3165042464496+482375856382*n-192749471973/8*n^2+7678009751/16*n^3-59406051/16*n
^4+190281/16*n^5-147/16*n^6)*p3^2+224*(-14932970142912+26004606613241/6*n-\
1696658199579/4*n^2+106682240071/6*n^3-1304094655/4*n^4+2345588*n^5-12475/2*n^6
)*p2^2+224/3*(-457690048128+510429596255/6*n-68981735863/12*n^2+1100987707/6*n^
3-35166317/12*n^4+21637*n^5-49*n^6)*p1^4+896/25*(-3343529700+112602000*n-617400
*n^2)*p5^2+14/3*(2268000-24000*n)*p4^3+224/9*(-18130392+154350*n-126*n^2)*p6^2+
896*(-11605400064000+213484680807941/30*n-105829352948473/72*n^2+6619920568355/
48*n^3-105381725421/16*n^4+13352988859/80*n^5-35533485/16*n^6+85603/6*n^7-1225/
36*n^8)*p1^2+448/3*(116953200-2228226*n+546*n^2)*p12+896/5*(14279985720-\
744127835*n+9001245*n^2-7810*n^3)*p10+896*(25021367856000-219983667096891/10*n+
456416199000761/72*n^2-12840128792765/16*n^3+7151426169235/144*n^4-368958746311
/240*n^5+3253893379/144*n^6-3278339/24*n^7+1925/6*n^8)*p2-13265837984/9*n^8+
4748910912256/45*n^7+14/3*(-1471265424+39810528*n-248832*n^2)*p2^4+112/3*(
547084124496-57820476414*n+1826703837*n^2-19462590*n^3+68823*n^4)*p2^3+112/45*(
-540365760+40428360*n-1063200*n^2+10080*n^3)*p1^6+448*(33912685497600-\
26863392806487/2*n+65928002642201/36*n^2-1332315389185/12*n^3+113900675165/36*n
^4-239137075/6*n^5+3227125/18*n^6-1125/4*n^7)*p4-80731910303903488/15*n^2
[7, 4, 3, 3, 2]
-2268*p3*p2^4*p1+3120657229283328*n+88704*p3^3*p2*p1-1729728*p11*p3-1693440*p13
*p1-665280*p10*p4+112*(-2518145640+204561315/2*n-5193135/4*n^2+14715/2*n^3-45/4
*n^4)*p9*p1+63*(-4848311088+203462112*n-2485440*n^2+9168*n^3)*p8*p2+63*(
177256080-4854600*n+37800*n^2-144*n^3)*p8*p1^2+48*(-5637718800+216135864*n-\
2407881*n^2+12558*n^3-21*n^4)*p7*p3+72*(400517880-13739488*n+154840*n^2-616*n^3
)*p7*p2*p1+24*(-7490952+92736*n)*p7*p1^3+42*(-6129487728+217934870*n-2098065*n^
2+9610*n^3-15*n^4)*p6*p4+21*(747864672-24452744*n+215496*n^2-352*n^3)*p6*p2^2+7
*(73872-864*n)*p6*p1^4-2751840*p12*p2+7*(-124440+2160*n)*p3*p2^2*p1^3+63/4*(
2857920-56800*n+320*n^2)*p4*p2^2*p1^2+168/5*(-22897080+456660*n-1980*n^2)*p5*p3
*p1^2+126/5*(-55507860+1547800*n-11880*n^2)*p5*p2^2*p1+84/5*(1004520-15120*n)*
p5*p2*p1^3+144*(-153615877212+12840167872*n-357888489*n^2+4513019*n^3-29659*n^4
+77*n^5)*p7*p1+84*(-266754162960+22603295057*n-1261785255/2*n^2+7480281*n^3-\
73713/2*n^4+34*n^5)*p6*p2+84*(17154726264-1059568605*n+43766907/2*n^2-208968*n^
3+2229/2*n^4-3*n^5)*p6*p1^2+336/5*(-318372744330+103861512855/4*n-5433363975/8*
n^2+15083565/2*n^3-330225/8*n^4+315/4*n^5)*p5*p3+168/5*(-1416959820+59822730*n-\
786630*n^2+3780*n^3)*p5*p1^3+21/16*(-295488+3456*n)*p2^4*p1^2+14*(559500-6480*n
)*p4*p3*p1^3+56*(426132954-25877817/2*n+536895/4*n^2-1683/2*n^3+9/4*n^4)*p6*p3*
p1+42*(-25284096+654036*n-5628*n^2+24*n^3)*p6*p2*p1^2+63/4*(794191440-22691200*
n+204800*n^2-800*n^3)*p4^2*p2+63/4*(-19520400+310400*n-1600*n^2)*p4^2*p1^2+14*(
818061636-23131440*n+207360*n^2-720*n^3)*p4*p3^2+21/4*(-91198080+2141760*n-\
12960*n^2)*p4*p2^3+252/5*(431509890-11637400*n+98400*n^2-300*n^3)*p5*p4*p1+168/
5*(813710100-25450455*n+233205*n^2-630*n^3)*p5*p3*p2+56/9*(-53507952+1286280*n-\
7128*n^2)*p3^3*p1+7*(-102600264+2814480*n-20448*n^2)*p3^2*p2^2+21/2*(-123000+
1200*n)*p4^2*p3*p1+7*(-463680+2880*n)*p4*p3^2*p2+63/2*(50237869056-9957768344/3
*n+218224000/3*n^2-1984600/3*n^3+6800/3*n^4)*p4*p2^2+21/2*(72122160-1595680*n+
9600*n^2)*p4*p1^4+56*(2042640-29970*n+90*n^2)*p9*p2*p1+42*(1806840-19332*n+108*
n^2)*p8*p3*p1+63/2*(-73440+576*n)*p8*p2*p1^2+36*(1485120-11200*n)*p7*p4*p1+28*(
53918757000-3504007410*n+77669934*n^2-777780*n^3+3192*n^4)*p3^2*p2+24*(4404456-\
51240*n+168*n^2)*p7*p3*p2+18*(-243264+2464*n)*p7*p2^2*p1+28*(-2798749008+
134428536*n-2248524*n^2+16488*n^3-36*n^4)*p3^2*p1^2+168/5*(1837890-17550*n+90*n
^2)*p6*p5*p1+14/5*(-1837440+32400*n)*p3*p1^5+168*(817135222272-990083985877/10*
n+16968106847/4*n^2-87742714*n^3+4004757/4*n^4-60453/10*n^5+14*n^6)*p3*p2*p1+42
*(-4680194772+261511810*n-5275624*n^2+47754*n^3-164*n^4)*p3*p2^2*p1+21/2*(
361159488-16749168*n+263568*n^2-1440*n^3)*p2^3*p1^2+28*(187182792-7444614*n+
105666*n^2-540*n^3)*p3*p2*p1^3+21/4*(-10130016+299008*n-2688*n^2)*p2^2*p1^4+63*
(-2713750080+137637984*n-2497000*n^2+21000*n^3-80*n^4)*p4*p2*p1^2+504/5*(
30470107440-2006430925*n+45907365*n^2-486370*n^3+2170*n^4)*p5*p2*p1+1008/5*(-\
3237178654320+2044995079549/4*n-223620937645/8*n^2+2800840455/4*n^3-73757375/8*
n^4+67984*n^5-455/2*n^6)*p5*p1+126*(-5132863656912+2443985738168/3*n-\
44581594555*n^2+3304703221/3*n^3-41007655/3*n^4+84877*n^5-620/3*n^6)*p4*p2+84*(
33882460050-2096102473*n+44110507*n^2-907935/2*n^3+2585*n^4-15/2*n^5)*p4*p3*p1+
126*(539899014960-64023020700*n+2633016155*n^2-152815453/3*n^3+540995*n^4-9815/
3*n^5+10*n^6)*p4*p1^2+56*(-67573028664+12021366051/2*n-747545187/4*n^2+2775873*
n^3-86421/4*n^4+135/2*n^5)*p3*p1^3+63*(-97250733984+9386525900*n-334058944*n^2+
17768716/3*n^3-54976*n^4+656/3*n^5)*p2^2*p1^2+21*(6283948992-432703288*n+
10778584*n^2-129568*n^3+672*n^4)*p2*p1^4+336*(-20209360915584+24075318417223/4*
n-50077929935381/80*n^2+1206875240397/40*n^3-48815306185/64*n^4+88593041/8*n^5-\
15499813/160*n^6+2301/5*n^7-49/64*n^8)*p3*p1+252*(4727518641216-1050397136914*n
+412708870163/5*n^2-9276960323/3*n^3+191867449/3*n^4-2378807/3*n^5+85426/15*n^6
-56/3*n^7)*p2*p1^2+14*(3077568-67680*n+288*n^2)*p3^2*p2*p1^2+7*(6782040-165816*
n+1080*n^2)*p3*p2^3*p1+63/2*(-32202000+298800*n-720*n^2)*p8*p4+504*p6*p3*p2^2*
p1-9072*p8*p3*p2*p1+21*(3905400-39960*n+120*n^2)*p6*p4*p2+21*(-25560+240*n)*p6*
p4*p1^2+21/2*(8208-96*n)*p6*p2^2*p1^2+84/5*(3371550-19800*n)*p5*p4*p3+42/5*(-\
469500+2520*n)*p5*p3*p2^2+252/5*(-32398080+513480*n-1320*n^2)*p10*p2+252/5*(
502920-2640*n)*p10*p1^2+112/3*(-33633090+451845*n-2025*n^2)*p9*p3-508032*p5^2*
p1^2+28/3*(4188348-39528*n+216*n^2)*p6*p3^2+7/2*(-385200+1728*n)*p6*p2^3+63/4*(
3983904-38592*n)*p8*p2^2+144/5*(-35913780+304920*n-840*n^2)*p7*p5+1008/11*(-\
14103804+215358*n-858*n^2)*p11*p1+11340*p4*p2^4+252/25*(4111800-25200*n)*p5^2*
p2-24192*p3^2*p1^4+60480*p3^2*p2^3+63/16*(-316800+3200*n)*p4^2*p2^2+157248*p11*
p2*p1+66528*p10*p3*p1-225792*p3^4+3024*p6*p3*p1^3-2056320*p5*p3^2*p1+90720*p5*
p2^3*p1+45360*p6*p5*p3-2520*p6*p4*p2^2-4032*p6*p3^2*p2+25200*p9*p4*p1+151200*p9
*p3*p2-5040*p9*p2^2*p1+54432*p8*p5*p1+45360*p8*p4*p2+36288*p7*p6*p1+48384*p7*p5
*p2+20160*p7*p4*p3-4032*p7*p3*p2^2+173642609/5*n^9-1163211/5*n^10+686*n^11-6048
*p6*p5*p2*p1-2520*p6*p4*p3*p1+12600*p6*p4^2+20160*p4*p3^2*p1^2+36288*p8*p3^2+
66528*p10*p2^2+21/2*(25680-240*n)*p4*p3*p2^2*p1+126/5*(-193200+1200*n)*p5*p4*p2
*p1+28*(-268164+3474*n-18*n^2)*p6*p3*p2*p1+42*(-54478068+1497540*n-14160*n^2+60
*n^3)*p4*p3*p2*p1+56448*p6^2*p2-876960*p9*p5-1006992*p8*p6-4032*p3^2*p2^2*p1^2-\
1040256*p7*p3*p1^2+133056*p5*p3*p2*p1^2-290304*p7^2-30240*p9*p1^3+37013760*p14+
84*(227223360-4471740*n+16380*n^2)*p12+14*(-37724400+409248*n-2016*n^2)*p6^2+63
/2*(-335922999600+80834499400/3*n-2028095480/3*n^2+21029900/3*n^3-113800/3*n^4+
100*n^5)*p4^2-21531765036579/5*n^6+359294380172021/5*n^5+7/5*(-217952640+
6611040*n-60480*n^2)*p1^6+168*(14919699674880-15632073265821/5*n+455823797667/2
*n^2-7480868717*n^3+241696167/2*n^4-4946734/5*n^5+3513*n^6-2*n^7)*p6+252*(
60221924904960-24226068539585*n+122753789049607/36*n^2-3980882078813/18*n^3+
1055268930919/144*n^4-2348955677/18*n^5+91867055/72*n^6-57202/9*n^7+565/48*n^8)
*p4+504*(-20395921305600+12467808442125*n-61596050174269/24*n^2+722858822102/3*
n^3-1879096727869/160*n^4+15502588733/48*n^5-258661811/48*n^6+1364705/24*n^7-\
171143/480*n^8+49/48*n^9)*p1^2+731343056808/5*n^7-14591016006/5*n^8-\
5407470452605536*n^2-3225789422764524/5*n^4+14321375999716492/5*n^3+504/5*(
26783396640-1451812120*n+22508145*n^2-124190*n^3+165*n^4)*p10+504*(
44431388006400-196688985816929/5*n+1382607510310409/120*n^2-54379810022593/36*n
^3+145048784924957/1440*n^4-1318932970727/360*n^5+54792892861/720*n^6-33323537/
36*n^7+9026813/1440*n^8-1337/72*n^9)*p2+504/25*(-6395489100+226513350*n-2004450
*n^2+6300*n^3)*p5^2+21/80*(8596800-103680*n)*p2^5+56*(-5698697026320+
8959226075469/10*n-192726346041/4*n^2+1164279702*n^3-57659703/4*n^4+978411/10*n
^5-294*n^6)*p3^2+21/8*(-7002641088+385158720*n-6606144*n^2+36864*n^3)*p2^4+126*
(1079639383680-119882141430*n+4385518323*n^2-66961716*n^3+458229*n^4-1086*n^5)*
p8+126*(-26721948913920+120049448403146/15*n-37730000703899/45*n^2+367518923620
/9*n^3-9361814113/9*n^4+662688302/45*n^5-5067776/45*n^6+3328/9*n^7)*p2^2+21*(
1115711495712-138486721276*n+6080855984*n^2-124074236*n^3+1228264*n^4-4896*n^5)
*p2^3+21/8*(2268000-24000*n)*p4^3+42*(-646218403200+106540852846*n-6188394591*n
^2+170506166*n^3-2559325*n^4+21740*n^5-84*n^6)*p1^4
[7, 4, 3, 2, 2, 2]
-58577928724611072*n+2016/5*(-223109978610+47058051385/3*n-709392985/2*n^2+
9390740/3*n^3-19845/2*n^4)*p5*p2*p1+336*(-262183086060+18227629598*n-406405997*
n^2+3611485*n^3-13705*n^4+15*n^5)*p4*p3*p1+252*(29591152056-1800516738*n+
108733205/3*n^2-294710*n^3+2515/3*n^4)*p4*p2*p1^2+672*p6*p3*p2*p1^3+120960*p6*
p5*p2*p1-6048*p6*p3*p2^2*p1-10080*p6*p4*p2*p1^2+672*(-5132429182272+
3296869322864/5*n-705217929565/24*n^2+28266879019/48*n^3-274008979/48*n^4+
6038473/240*n^5-497/16*n^6)*p3*p2*p1+28*(15060-120*n)*p4*p3*p2*p1^3+42*(-164520
+720*n)*p4*p3*p2^2*p1+336/5*(-197940+1260*n)*p5*p3*p2*p1^2+112*(2268948-19329*n
+45*n^2)*p6*p3*p2*p1+168*(486346292-12953285*n+87575*n^2-150*n^3)*p4*p3*p2*p1+
504/5*(1874600-14400*n)*p5*p4*p2*p1+168*(33543121664-1860451193*n+66502705/2*n^
2-222879*n^3+831/2*n^4)*p3*p2^2*p1+112*(-3405951780+365171765/2*n-13190585/4*n^
2+46183/2*n^3-175/4*n^4)*p3*p2*p1^3+79248480627512*n^6-6778458273910568/5*n^5+
61227660069852528/5*n^4-271108720254477952/5*n^3+509165362473874176/5*n^2-\
302400*p6*p4^2+112896*p6^2*p1^2+235872*p8*p3*p2*p1+21*(299385152-13547048*n+
196856*n^2-816*n^3)*p2^2*p1^4+14/5*(-17187360+629280*n-6720*n^2)*p2*p1^6+4032/5
*(19267392409800-9696419317253/3*n+4530724608685/24*n^2-237373751275/48*n^3+
2987690875/48*n^4-5890199/16*n^5+12985/16*n^6)*p5*p1+504*(27696406316688-\
13130289727630/3*n+462789686141/2*n^2-62353331605/12*n^3+640932085/12*n^4-\
3128491/12*n^5+5525/12*n^6)*p4*p2+504*(-3910465808208+535924287556*n-\
156599646277/6*n^2+7027430213/12*n^3-26119955/4*n^4+425587/12*n^5-805/12*n^6)*
p4*p1^2+336*(1486258738404-122026296664*n+3090121609*n^2-29613046*n^3+110129*n^
4-76*n^5)*p6*p2+336*(-171308695932+13379866700*n-350105667*n^2+3804380*n^3-\
17139*n^4+14*n^5)*p6*p1^2+1344/5*(1820741330010-147167970300*n+7193537815/2*n^2
-64897455/2*n^3+254555/2*n^4-315/2*n^5)*p5*p3+672/5*(23888736570-3150609625/2*n
+139898785/4*n^2-649985/2*n^3+5075/4*n^4)*p5*p1^3+126*(-268937673744+
16476285112*n-312271330*n^2+2303180*n^3-5810*n^4)*p4*p2^2+42*(-2829638304+
155799044*n-2880340*n^2+22480*n^3-80*n^4)*p4*p1^4+112*(-298750797744+
18258730370*n-347346370*n^2+2642950*n^3-7238*n^4)*p3^2*p2+112*(33151833912-\
2035995948*n+41852739*n^2-354588*n^3+1101*n^4)*p3^2*p1^2+56/5*(275588880-\
12755460*n+191640*n^2-900*n^3)*p3*p1^5+42*(-3441542448+168205656*n-2593008*n^2+
12024*n^3)*p2^3*p1^2+576*(1078431641448-298733805328/3*n+9070696390/3*n^2-\
37027102*n^3+537026/3*n^4-686/3*n^5)*p7*p1+224*(-18477810+235665*n-225*n^2)*p9*
p2*p1+168*(-24133320+290232*n-648*n^2)*p8*p3*p1+21*(378349200-8096040*n+37800*n
^2)*p4*p2^3+1008*(-27632615465088+99586388397901/15*n-25817628005339/45*n^2+
852012208499/36*n^3-4671664867/9*n^4+283380637/45*n^5-1829366/45*n^6+3773/36*n^
7)*p2*p1^2+1344*(107415935070336-33144260892045*n+430876490158579/120*n^2-\
21601798593121/120*n^3+147942134805/32*n^4-1526481373/24*n^5+112401997/240*n^6-\
32569/20*n^7+49/32*n^8)*p3*p1+224*(660871249488-378571522188/5*n+25121705023/8*
n^2-981331697/16*n^3+9694737/16*n^4-223307/80*n^5+49/16*n^6)*p3*p1^3+252*(
757939138176-81925775104*n+9476063870/3*n^2-56119662*n^3+1431598/3*n^4-1526*n^5
)*p2^2*p1^2+84*(-89454267072+8646391178*n-914483495/3*n^2+15150628/3*n^3-120793
/3*n^4+350/3*n^5)*p2*p1^4+224/5*(2675520-15120*n)*p5*p3^2*p1+168/5*(1585800-\
7560*n)*p5*p3*p2^2+42*(2468400-16800*n)*p4^2*p3*p1+504/5*(404933000-10453110*n+
60390*n^2)*p5*p2^2*p1+336/5*(-35445720+942990*n-6090*n^2)*p5*p2*p1^3+126*(
1779264-21312*n)*p8*p2*p1^2+144*(-23797200+242480*n-560*n^2)*p7*p4*p1+96*(-\
20440476+185892*n-420*n^2)*p7*p3*p2+96*(2453892-29316*n+84*n^2)*p7*p3*p1^2+72*(
1626800-12768*n)*p7*p2^2*p1+63*(-39926560+955960*n-4920*n^2)*p4*p2^2*p1^2+48*(-\
136920+1680*n)*p7*p2*p1^3+672/5*(-23873700+204825*n-405*n^2)*p6*p5*p1+84*(-\
19343040+165660*n-300*n^2)*p6*p4*p2+84*(2147760-21420*n+60*n^2)*p6*p4*p1^2+112/
3*(-198612+2133*n-9*n^2)*p6*p3*p1^3+42*(-138624+864*n)*p6*p2^2*p1^2+14*(7824-96
*n)*p6*p2*p1^4+336/5*(-21928200+136200*n)*p5*p4*p3+168/5*(-111300+600*n)*p5*p4*
p1^3+63*(-15781536+139968*n)*p8*p2^2+21*(-71136+576*n)*p8*p1^4+576/5*(222557580
-1903860*n+3780*n^2)*p7*p5+141120*p6*p4*p3*p1-16128*p7*p3*p2*p1^2+161280*p7*p4*
p2*p1+28*(3630072-80490*n+306*n^2)*p3*p2^2*p1^3+56*(-44160804+1201845*n-8775*n^
2+30*n^3)*p4*p3*p1^3+56*(-50929080+1308240*n-7272*n^2)*p3^2*p2*p1^2+28*(-\
40083768+802926*n-3078*n^2)*p3*p2^3*p1+28/5*(-176880+3600*n)*p3*p2*p1^5+63/2*(-\
162400+1600*n)*p4^2*p2*p1^2+28*(2073120-6720*n)*p4*p3^2*p2+28*(-267120+1440*n)*
p4*p3^2*p1^2+21*(2571920-60800*n+320*n^2)*p4*p2*p1^4+288*(-3389042664+356939002
/3*n-1092546*n^2+7532/3*n^3)*p7*p2*p1+224*(-4203908136+143998023*n-2570619/2*n^
2+4023*n^3-9/2*n^4)*p6*p3*p1+168*(380893800-11886316*n+98400*n^2-164*n^3)*p6*p2
*p1^2+1008/5*(-4453960140+144036225*n-1144575*n^2+3450*n^3)*p5*p4*p1+672/5*(-\
4291959630+118381365*n-833700*n^2+1575*n^3)*p5*p3*p2+672/5*(465587850-14261385*
n+116220*n^2-315*n^3)*p5*p3*p1^2-136080*p4*p2^4+112/3*(-24277104+177660*n-396*n
^2)*p6*p3^2+14*(1155600-5184*n)*p6*p2^3+4032/11*(169413816-3088800*n+6864*n^2)*
p11*p1+1008/5*(162540180-2210340*n+3300*n^2)*p10*p2+1008/5*(-17734860+291060*n-\
660*n^2)*p10*p1^2+448/3*(204585210-2466765*n+5445*n^2)*p9*p3+224/3*(1452330-\
19485*n+45*n^2)*p9*p1^3+126*(213390720-2129760*n+4320*n^2)*p8*p4+1008/25*(-\
18152400+126000*n)*p5^2*p2+1008/25*(1936200-12600*n)*p5^2*p1^2+63/4*(1464000-\
9600*n)*p4^2*p2^2+63*(470601120-13821400*n+110600*n^2-400*n^3)*p4^2*p1^2+56*(-\
4965115680+133473660*n-910980*n^2+1320*n^3)*p4*p3^2+224/9*(569409264-15428448*n
+95472*n^2)*p3^3*p1+28*(451320144-10248504*n+52776*n^2)*p3^2*p2^2+28/3*(3762720
-88416*n+288*n^2)*p3^2*p1^4+21/4*(2522880-31104*n)*p2^4*p1^2+96*(315200088-\
10890894*n+107730*n^2-420*n^3)*p7*p1^3+168*(37182649392-1315456440*n+10735710*n
^2-34500*n^3+30*n^4)*p6*p4+84*(-3592151664+102310932*n-718644*n^2+912*n^3)*p6*
p2^2+28*(-27641952+763188*n-5820*n^2+24*n^3)*p6*p1^4+448*(22280226120-\
1051368225*n+27405675/2*n^2-51195*n^3+45/2*n^4)*p9*p1+252*(26700545232-\
1032330552*n+10227312*n^2-27480*n^3)*p8*p2+252*(-2849708592+116666808*n-1357488
*n^2+5016*n^3)*p8*p1^2+192*(33602031792-1246511042*n+11374608*n^2-36568*n^3+42*
n^4)*p7*p3-677376*p3^2*p2^3+102144*p3^3*p1^3-1306368*p5*p2^3*p1-645120*p6*p5*p3
-4032*p6*p5*p1^3+30240*p6*p4*p2^2+37632*p6*p3^2*p2-8064*p6*p3^2*p1^2-3257856*p7
*p6*p1-967680*p7*p5*p2+96768*p7*p5*p1^2-1128960*p7*p4*p3+129024*p7*p3^2*p1+
48384*p7*p3*p2^2-5346432*p11*p2*p1-5588352*p10*p3*p1+266112*p10*p2*p1^2-2822400
*p9*p4*p1-1928640*p9*p3*p2+302400*p9*p3*p1^2+60480*p9*p2^2*p1-6720*p9*p2*p1^3-\
1850688*p8*p5*p1-1179360*p8*p4*p2+90720*p8*p4*p1^2-6048*p8*p3*p1^3+5268480*p3^4
+7/2*(-140832+1728*n)*p2^3*p1^4+168/25*(1471200-25200*n)*p5*p1^5+63*(-\
4395471360+117415000*n-837000*n^2+2000*n^3)*p4^2*p2+21192192*p8*p6+45360*p4*p2^
3*p1^2-3123456*p3^3*p2*p1+254016*p3^2*p2^2*p1^2-5376*p3^2*p2*p1^4+27216*p3*p2^4
*p1-3024*p3*p2^3*p1^3+88704*p5*p3*p1^4-846720*p8*p3^2-677376*p6^2*p2+102816*p5*
p2^2*p1^3+224111319712/5*n^8-12664709427328/5*n^7+11896024/5*n^10-2209181352/5*
n^9-5488*n^11+504*(-6037840860480+669644711976*n-23630875632*n^2+317940468*n^3-\
1614888*n^4+2556*n^5)*p8-937681920*p14+11612160*p7^2+672*(-79107334946640+
83356253428614/5*n-1202903834133*n^2+75279141751/2*n^3-1070109815/2*n^4+
34060677/10*n^5-17659/2*n^6+4*n^7)*p6+224*(30936590828208-4875001677348*n+
511981128983/2*n^2-22718729203/4*n^3+230711091/4*n^4-1160285/4*n^5+2303/4*n^6)*
p3^2+84*(-5973547371552+711802357194*n-28461470919*n^2+495771558*n^3-4043181*n^
4+12708*n^5)*p2^3+2016*(-214572935174400+2875702169651938/15*n-2545940383038799
/45*n^2+2669935051723867/360*n^3-23321421975353/48*n^4+6034756296863/360*n^5-\
4665627817/15*n^6+141557401/45*n^7-2475061/144*n^8+1435/36*n^9)*p2+2016/25*(
38445252300-1335059250*n+10071600*n^2-28350*n^3)*p5^2+2016/5*(-157600563120+
8449374670*n-118303020*n^2+451880*n^3-330*n^4)*p10-798336*p10*p2^2+16894080*p9*
p5+25280640*p10*p4+104832*p11*p1^3+41723136*p11*p3-5503680*p12*p1^2+115153920*
p13*p1+45864000*p12*p2+126*(1929388810560-154719645480*n+3708601360*n^2-\
32382600*n^3+130600*n^4-200*n^5)*p4^2+21/2*(32287283136-1562140656*n+23032944*n
^2-105408*n^3)*p2^4+28/5*(9368791200-775118040*n+23078400*n^2-310200*n^3+1680*n
^4)*p1^6+504*(137255501822976-620303436604424/15*n+128624982482189/30*n^2-\
2398399994459/12*n^3+18374207621/4*n^4-3272592589/60*n^5+20304347/60*n^6-2599/3
*n^7)*p2^2+1008*(-303521203964160+123243039770076*n-17386521587044*n^2+
4445531759721/4*n^3-280135355001/8*n^4+6649633309/12*n^5-13167832/3*n^6+50894/3
*n^7-565/24*n^8)*p4+168*(4814245414656-4824129722118/5*n+2159016289703/30*n^2-\
10598365629/4*n^3+641396545/12*n^4-36558779/60*n^5+73423/20*n^6-49/6*n^7)*p1^4+
2016*(101321052422400-319082650869626/5*n+615834602299651/45*n^2-\
488178968345243/360*n^3+50800060701547/720*n^4-372048014789/180*n^5+6392286061/
180*n^6-16247099/45*n^7+163177/80*n^8-343/72*n^9)*p1^2+21/2*(-20664000+144000*n
)*p4^3+336*(-1396755360+26792220*n-60060*n^2)*p12+56*(229654656-2025072*n+5040*
n^2)*p6^2+21/20*(-25790400+311040*n)*p2^5
[7, 4, 2, 2, 2, 2, 2]
1158581292320686080*n+1084221189738167040*n^3-6066078021404914688/3*n^2-\
2219909671983799040/9*n^4-662323200*p10*p4+15966720*p10*p2^2-523837440*p9*p5+
4480/3*(4432772120-107755740*n+611880*n^2-600*n^3)*p4*p3^2+2688*(-504036750+
12680577*n-63315*n^2)*p5*p2^2*p1+1792*(91176470-2665110*n+15120*n^2)*p5*p2*p1^3
+560*(-350311500+7169580*n-27540*n^2)*p4*p2^3+112/3*(1737620-49680*n+240*n^2)*
p4*p1^6+17920/27*(-632486160+15385896*n-77760*n^2)*p3^3*p1+2240/3*(-384534576+
8099496*n-33588*n^2)*p3^2*p2^2+7680*(4160953524-147970480*n+1226932*n^2-2044*n^
3)*p7*p2*p1+2240/9*(-13886016+390456*n-2052*n^2)*p3^2*p1^4+64/9*(-157080+3780*n
)*p3*p1^7+140*(-3119472+38880*n)*p2^4*p1^2+280/3*(405432-5184*n)*p2^3*p1^4+56/3
*(-33480+432*n)*p2^2*p1^6+6720*(-25301331624+964293408*n-8874216*n^2+19080*n^3)
*p8*p2+6720*(4470418920-203482680*n+2417040*n^2-5640*n^3)*p8*p1^2+5120*(-\
31249411872+3345469946/3*n-8854671*n^2+70210/3*n^3-21*n^4)*p7*p3+2560*(-\
726484668+90283466/3*n-318906*n^2+1708/3*n^3)*p7*p1^3+4480*(-35165805024+
1224907670*n-9034605*n^2+24430*n^3-15*n^4)*p6*p4+2240*(3437059512-94849380*n+
583596*n^2-576*n^3)*p6*p2^2+2240/3*(109420920-4058540*n+36300*n^2-40*n^3)*p6*p1
^4+896/5*(-14789810+479885*n-3255*n^2)*p5*p1^5+35840/3*(-26050408740+2577156555
/2*n-66023955/4*n^2+92625/2*n^3-45/4*n^4)*p9*p1+3360*(249034114464-15121262625*
n+548052405/2*n^2-1804695*n^3+7275/2*n^4)*p4*p2^2+1680*(67072620-1551120*n+6480
*n^2)*p4*p2^2*p1^2+1120*(6375846240-1313458195/3*n+59298275/6*n^2-244385/3*n^3+
1045/6*n^4)*p4*p1^4+1680*(4189621800-108318000*n+680400*n^2-1200*n^3)*p4^2*p2+
560*(-11505380+303340*n-1380*n^2)*p4*p2*p1^4+17920/3*(5082211908-346760767/2*n+
5274183/4*n^2-6233/2*n^3+9/4*n^4)*p6*p3*p1+4480*(-643594848+20976240*n-149916*n
^2+156*n^3)*p6*p2*p1^2+5376*(5562064620-186607330*n+1359890*n^2-3150*n^3)*p5*p4
*p1+1680*(-825192200+26573400*n-193000*n^2+400*n^3)*p4^2*p1^2+3584*(3993162152-\
104527794*n+640773*n^2-945*n^3)*p5*p3*p2+3584*(-779566760+25094510*n-177975*n^2
+315*n^3)*p5*p3*p1^2+3840*(33510120-320320*n+560*n^2)*p7*p4*p1+2560*(17650136-\
147252*n+252*n^2)*p7*p3*p2+2560*(-4525304+46508*n-84*n^2)*p7*p3*p1^2+1920*(-\
1860348+13608*n)*p7*p2^2*p1+1280*(408380-3864*n)*p7*p2*p1^3+3584*(34961850-\
306747*n+315*n^2)*p6*p5*p1+2240*(18807180-149940*n+180*n^2)*p6*p4*p2+8960*(-\
1341578141700+110294265271*n-5465654229/2*n^2+24255137*n^3-152463/2*n^4+42*n^5)
*p6*p2+2240*(-5019420+48900*n-60*n^2)*p6*p4*p1^2+8960/9*(621234-6201*n+9*n^2)*
p6*p3*p1^3+1120*(189468-1080*n)*p6*p2^2*p1^2+1120/3*(-36636+288*n)*p6*p2*p1^4+
1792*(19384960-92610*n)*p5*p4*p3+896*(680050-6300*n)*p5*p4*p1^3+3584/3*(-\
2889264+12600*n)*p5*p3^2*p1+896*(-1298808+5670*n)*p5*p3*p2^2+17920*(
4885289477448-7881017549879/12*n+181751098627/6*n^2-28990631623/48*n^3+
257099125/48*n^4-318847/16*n^5+273/16*n^6)*p3*p2*p1+8960*(212686831188-\
18317491079*n+1039532605/2*n^2-5644808*n^3+38855/2*n^4-11*n^5)*p6*p1^2+4480*(-\
37835061988+8431248995/4*n-282144219/8*n^2+809817/4*n^3-2061/8*n^4)*p3*p2^2*p1+
8960/3*(6102199528-1452160461/4*n+53873265/8*n^2-165195/4*n^3+399/8*n^4)*p3*p2*
p1^3+6720*(-40388542120+2672772925*n-110993115/2*n^2+403885*n^3-1705/2*n^4)*p4*
p2*p1^2+8960*(282365678682-244990313365/12*n+10840533485/24*n^2-42337205/12*n^3
+257515/24*n^4-15/2*n^5)*p4*p3*p1+7168*(-1635104537640+394622067707/3*n-\
3098985750*n^2+300057835/12*n^3-83118*n^4+315/4*n^5)*p5*p3+10752*(241650019800-\
71099461447/4*n+3241330379/8*n^2-13106653/4*n^3+67725/8*n^4)*p5*p2*p1+448/3*(
1178532-27399*n+63*n^2)*p3*p2*p1^5+3584*(-38416261464+35427901355/12*n-\
600279729/8*n^2+8623405/12*n^3-15855/8*n^4)*p5*p1^3+4480/3*(76813920-1844412*n+
8496*n^2)*p3^2*p2*p1^2+2240/3*(42493680-799875*n+2187*n^2)*p3*p2^3*p1+2240/3*(-\
7559964+158076*n-432*n^2)*p3*p2^2*p1^3+4480/3*(110740790-3366225*n+22335*n^2-30
*n^3)*p4*p3*p1^3+6720*(-843932727536+198039338009/2*n-16328123441/4*n^2+
73823166*n^3-2316431/4*n^4+3051/2*n^5)*p2^2*p1^2+2240*(135467276160-92309893519
/6*n+7614761891/12*n^2-70837157/6*n^3+1151341/12*n^4-238*n^5)*p2*p1^4+403200*p6
*p4*p2*p1^2+120960*p6*p3*p2^2*p1-26880*p6*p3*p2*p1^3+1120*(5000545728-250950654
*n+3629610*n^2-14148*n^3)*p2^3*p1^2-3386880*p6*p5*p2*p1+560*(-775224544+
40108316*n-605244*n^2+2256*n^3)*p2^2*p1^4-2732800*p6*p4*p3*p1+645120*p7*p3*p2*
p1^2+224/3*(112641040-5765298*n+84918*n^2-252*n^3)*p2*p1^6-6451200*p7*p4*p2*p1+
896/3*(-74760+630*n)*p5*p3*p1^4+1120*(-3028900+12200*n)*p4^2*p3*p1+8960/3*(
272274483280-16174615869*n+568372329/2*n^2-1876293*n^3+8043/2*n^4)*p3^2*p2+840*
(361200-2400*n)*p4^2*p2*p1^2+8960/3*(-44516800384+2923787259*n-120414307/2*n^2+
440191*n^3-2081/2*n^4)*p3^2*p1^2+2240/3*(-1665720+3600*n)*p4*p3^2*p2+2240/3*(
431640-1200*n)*p4*p3^2*p1^2+896/3*(-943384960+229990631/4*n-8981255/8*n^2+28925
/4*n^3-49/8*n^4)*p3*p1^5+224/3*(8910-60*n)*p4*p3*p1^5+15360*(-1097673228540+
213283731829/2*n-40284347663/12*n^2+240597455/6*n^3-1914073/12*n^4+455/3*n^5)*
p7*p1+17920/3*(24332040-294975*n+135*n^2)*p9*p2*p1+4480*(30008268-310500*n+540*
n^2)*p8*p3*p1+3360*(-3401280+36720*n)*p8*p2*p1^2+35840*(-88712336289600+
282029086133283/10*n-151710904370311/48*n^2+23614791102253/144*n^3-827400539603
/192*n^4+5245140313/90*n^5-12442133/32*n^6+165043/144*n^7-49/64*n^8)*p3*p1+
26880*(24476086906272-6223701931355*n+1723812635641/3*n^2-304457295277/12*n^3+
1171482425/2*n^4-21374053/3*n^5+253867/6*n^6-1099/12*n^7)*p2*p1^2+21504*(-\
17418372206340+12189391469339/4*n-2229693490409/12*n^2+240774147775/48*n^3-\
2975010073/48*n^4+15472541/48*n^5-9345/16*n^6)*p5*p1+13440*(-23633684034856+
22637734635797/6*n-796911470521/4*n^2+52344103355/12*n^3-41669770*n^4+713665/4*
n^5-1015/4*n^6)*p4*p2+13440*(4004711442760-1188309129835/2*n+376930184315/12*n^
2-3004697835/4*n^3+8362600*n^4-156215/4*n^5+685/12*n^6)*p4*p1^2+17920/3*(-\
801478989960+1238701422391/12*n-9616559915/2*n^2+4908739715/48*n^3-16117447/16*
n^4+62907/16*n^5-49/16*n^6)*p3*p1^3-1174118400*p12*p2-4606156800*p13*p1+1680*(
14544576-123120*n)*p8*p2^2+560*(704160-10800*n)*p8*p1^4+3072*(-222117000+
1874544*n-2940*n^2)*p7*p5+128*(-76580+1064*n)*p7*p1^5+5376*(36293180-651860*n+
660*n^2)*p10*p1^2+35840/9*(-185992560+1957950*n-3420*n^2)*p9*p3+17920/9*(-\
5357160+90225*n-45*n^2)*p9*p1^3+3360*(-208108320+1919520*n-3600*n^2)*p8*p4+
107520/11*(-227687460+4234230*n-6006*n^2)*p11*p1+5376*(-157910060+2083620*n-\
1980*n^2)*p10*p2+8960/9*(19240488-118548*n+180*n^2)*p6*p3^2+1120/3*(-866700+
3888*n)*p6*p2^3+224/9*(5580-72*n)*p6*p1^6+5376/5*(18663120-132300*n)*p5^2*p2+
5376/5*(-5056800+44100*n)*p5^2*p1^2-6451200*p3^3*p1^3+420*(-1436400+7200*n)*p4^
2*p2^2+140*(-86800+800*n)*p4^2*p1^4-7168*p3^2*p1^6+12579840*p3^2*p2^3+27095040*
p7*p5*p2-9031680*p7*p5*p1^2+21862400*p7*p4*p3-100352000*p3^4+176117760*p11*p2*
p1+154936320*p10*p3*p1-10644480*p10*p2*p1^2+127680000*p9*p4*p1+40857600*p9*p3*
p2-13619200*p9*p3*p1^2+268800*p9*p2*p1^3+101606400*p8*p5*p1+10235904*p6*p5*p3+
376320*p6*p5*p1^3-604800*p6*p4*p2^2-22400*p6*p4*p1^4-537600*p6*p3^2*p2+179200*
p6*p3^2*p1^2+896*p6*p3*p1^5+716800*p7*p4*p1^3-2867200*p7*p3^2*p1-967680*p7*p3*
p2^2-35840*p7*p3*p1^4+36288000*p8*p4*p2+806400*p8*p3*p1^3-12096000*p8*p4*p1^2+
30481920*p5*p2^3*p1-5080320*p5*p2^2*p1^3+112896*p5*p2*p1^5+107735040*p7*p6*p1-\
1814400*p4*p2^3*p1^2+100800*p4*p2^2*p1^4+79564800*p3^3*p2*p1-8547840*p3^2*p2^2*
p1^2+591360*p3^2*p2*p1^4-544320*p3*p2^4*p1+120960*p3*p2^3*p1^3-4032*p3*p2^2*p1^
5+4480*(-583476530+14708140*n-83550*n^2+90*n^3)*p4*p3*p2*p1+1792*(320040-1890*n
)*p5*p3*p2*p1^2+8960/3*(-2511258+19431*n-27*n^2)*p6*p3*p2*p1+2240/3*(-41490+180
*n)*p4*p3*p2*p1^3+1120*(179730-540*n)*p4*p3*p2^2*p1+2688*(-2651250+18900*n)*p5*
p4*p2*p1-7257600*p8*p3*p2*p1-544803840*p8*p6+2721600*p4*p2^4+16128000*p8*p3^2-\
8960*p9*p1^5-1209600*p9*p2^2*p1+591360*p10*p1^4-19568640*p11*p1^3-861020160*p11
*p3+391372800*p12*p1^2+25004851200*p14-4799145726784192/3*n^6+27430385143861952
*n^5+151000299573760/3*n^7-855810739840*n^8+23429917504/3*n^9-338013760/9*n^10+
219520/3*n^11+10752/5*(-36499535520+1260533820*n-8927310*n^2+22050*n^3)*p5^2+
53760*(163390739673600-4423894368047107/30*n+15840158503438133/360*n^2-\
349136612779981/60*n^3+110080536503821/288*n^4-391821530983/30*n^5+168871132819
/720*n^6-88496001/40*n^7+1041899/96*n^8-511/24*n^9)*p2+53760*(-78930798883200+
305957608615927/6*n-814263497247409/72*n^2+10528187618218/9*n^3-6151300149575/
96*n^4+94998727303/48*n^5-564431187/16*n^6+712697/2*n^7-538769/288*n^8+539/144*
n^9)*p1^2+4480/3*(-228206160+1926288*n-3024*n^2)*p6^2+10752*(145960935120-\
23358124790/3*n+104217795*n^2-992530/3*n^3+165*n^4)*p10+28*(19342800-233280*n)*
p2^5+13440*(5303147541120-591086008702*n+20634639495*n^2-264030980*n^3+1161561*
n^4-1470*n^5)*p8+3360*(-1737412594960+417755148230/3*n-3245583425*n^2+76850950/
3*n^3-88375*n^4+100*n^5)*p4^2+280*(-30425785920+1426570488*n-19343448*n^2+75168
*n^3)*p2^4+17920*(65833503175440-70114345142293/5*n+6090585327769/6*n^2-\
62725304825/2*n^3+1275753302/3*n^4-24157429/10*n^5+31723/6*n^6-2*n^7)*p6+2240*(
5250290952432-1261265358549/2*n+99989918577/4*n^2-834792525/2*n^3+12339279/4*n^
4-8127*n^5)*p2^3+17920/3*(-26352124322208+12555109250335/3*n-218125963810*n^2+
55756576055/12*n^3-169887129/4*n^4+732151/4*n^5-1127/4*n^6)*p3^2-283852800*p7^2
+26880*(240501464461440-98847178757978*n+506830601572177/36*n^2-2706399972335/3
*n^3+4042731029491/144*n^4-1703795407/4*n^5+221158421/72*n^6-124255/12*n^7+565/
48*n^8)*p4+448/3*(-21443186400+14013238091/6*n-375364033/4*n^2+5132885/3*n^3-\
53039/4*n^4+49/2*n^5)*p1^6+280*(19698000-84000*n)*p4^3+8960*(1354429440-\
25439232*n+43680*n^2)*p12+13440*(-110981915982720+508752592224664/15*n-\
7098256107417/2*n^2+1983247484101/12*n^3-14872011151/4*n^4+833470613/20*n^5-\
931871/4*n^6+502*n^7)*p2^2+8/3*(-15098944+733600*n-9408*n^2)*p1^8+13547520*p6^2
*p2-4515840*p6^2*p1^2+4704000*p6*p4^2+4480*(-4932315129024+1099819473866*n-\
185696703647/2*n^2+140490048703/36*n^3-1067991367/12*n^4+39641455/36*n^5-80255/
12*n^6+245/18*n^7)*p1^4
[7, 3, 3, 3, 3]
-340200*p4^2*p3*p1-1905120*p4*p3^2*p2+136080*p4*p3*p2^2*p1+3124398527515188*n+
127008*p3^2*p2^3-114307200*p5*p3*p1^2-29393280*p7*p1^3-46811520*p3^3*p1-4536*p3
*p2^4*p1-5103/2*p2^6-1560384*p6*p3*p2*p1+190512*p5*p2^3*p1+2694384*p10*p1^2+
1701/5*(-5048400+118440*n-840*n^2)*p5*p2^2*p1+972*(27347040-717360*n+5040*n^2)*
p7*p2*p1+756*(16184832-166296*n+1032*n^2)*p6*p3*p1+567*(-1020888+8932*n-36*n^2)
*p6*p2*p1^2+3402/5*(21415800-329700*n+2100*n^2)*p5*p4*p1+2268/5*(73233720-\
2081520*n+15120*n^2)*p5*p3*p2+567*(-371703264+20286768*n-392652*n^2+3432*n^3-12
*n^4)*p3*p2^2*p1+378*(5797296-89712*n+432*n^2)*p3*p2*p1^3+1701/2*(-150920136+
6141640*n-81800*n^2+400*n^3)*p4*p2*p1^2+1134*(1978756080-95852040*n+1416030*n^2
-10020*n^3+30*n^4)*p4*p3*p1+6804/5*(2154023760-136086930*n+2953335*n^2-28350*n^
3+105*n^4)*p5*p2*p1+189/2*(740256-14304*n+96*n^2)*p3*p2^3*p1+1701/8*(187680-\
1600*n)*p4*p2^2*p1^2+567*(-515145708+21823315*n-739345/2*n^2+2765*n^3-15/2*n^4)
*p6*p4+567/2*(107649600-5388734*n+102789*n^2-858*n^3+3*n^4)*p6*p2^2+1512*(-\
136627920+3758040*n-25740*n^2)*p9*p1+1701/2*(-483121728+25397598*n-500184*n^2+
4644*n^3-18*n^4)*p8*p2+1701/2*(5344272-40992*n+216*n^2)*p8*p1^2+648*(-394778160
+12191760*n-85680*n^2)*p7*p3+567*p6*p2^4-20412*p8*p2^3-1704402*p8*p6+567/64*(
38880-320*n)*p4*p2^4+567/2*(752760-11420*n+60*n^2)*p6*p4*p2-6191640*p12*p2+2268
*(57620225088-6872182870*n+292103005*n^2-6100955*n^3+69454*n^4-411*n^5+n^6)*p3*
p2*p1-2245320*p10*p4+1701/32*(-154800+1600*n)*p4^2*p2^2+1701*(32841253008-\
3401187018*n+113730484*n^2-1724980*n^3+13860*n^4-50*n^5)*p4*p1^2+756*(-\
3140248032+189677664*n-3033054*n^2+21780*n^3-54*n^4)*p3*p1^3+1701/2*(-\
6506826720+613949092*n-21705364*n^2+386950*n^3-3620*n^4+14*n^5)*p2^2*p1^2+567/2
*(256418208-12275916*n+183852*n^2-1008*n^3)*p2*p1^4+4536*(-1459047518400+
432559734023*n-178973357885/4*n^2+4308575899/2*n^3-882104845/16*n^4+3263307/4*n
^5-56383/8*n^6+131/4*n^7-1/16*n^8)*p3*p1+567/4*(29798640-1347440*n+20992*n^2-\
112*n^3)*p2^3*p1^2+567/8*(-363312+4032*n)*p2^2*p1^4+378*(4382946792-289383732*n
+6533856*n^2-65016*n^3+252*n^4)*p3^2*p2+378*(-90047808+1482048*n-8784*n^2)*p3^2
*p1^2+189/2*(-11015856+272160*n-2016*n^2)*p3^2*p2^2+567/32*(-45120+448*n)*p2^4*
p1^2+1944*(-9906765120+739465860*n-17328570*n^2+171780*n^3-630*n^4)*p7*p1+1134*
(-22406713092+6486660559/3*n-240710101/3*n^2+19144355/12*n^3-214361/12*n^4+411/
4*n^5-1/4*n^6)*p6*p2+1134*(828879912-35044373*n+827879/2*n^2-2179*n^3+9/2*n^4)*
p6*p1^2+61236*p6*p1^4+4536/5*(-23713383960+1896047370*n-48072780*n^2+497700*n^3
-1890*n^4)*p5*p3+2268/5*(-42678720+684180*n-3780*n^2)*p5*p1^3+1701/4*(
5184420936-1360291330/3*n+48712153/3*n^2-923840/3*n^3+8855/3*n^4-10*n^5)*p4*p2^
2+567/4*(1465560-12240*n)*p4*p1^4+1701/8*(102511920-4497900*n+73100*n^2-400*n^3
)*p4^2*p2+1701/8*(-678000+5200*n)*p4^2*p1^2+189*(46975320-754560*n+5040*n^2)*p4
*p3^2+567/8*(-22665024+1073080*n-17480*n^2+80*n^3)*p4*p2^3-960180480*p7*p5+189/
4*(-202608+3576*n-24*n^2)*p6*p2^3+9153648*p6*p3^2+60011280*p5^2*p2+3402/5*(-\
4163940+88660*n-660*n^2)*p10*p2-856215360*p9*p3+1701/4*(-3416580+56640*n-360*n^
2)*p8*p4+1701/8*(937224-19440*n+144*n^2)*p8*p2^2+3402*(326362037568-\
1055186422481/15*n+31968619921/6*n^2-194270515*n^3+12080284/3*n^4-506251/10*n^5
+733/2*n^6-7/6*n^7)*p2*p1^2-594397440*p11*p1+3429216*p5*p2*p1^3+13608/5*(-\
225378956880+34520303755*n-1807772680*n^2+172778795/4*n^3-2144205/4*n^4+13545/4
*n^5-35/4*n^6)*p5*p1+1701*(-395487101232+66989558796*n-25514968511/6*n^2+
1720583237/12*n^3-12065253/4*n^4+159139/4*n^5-3515/12*n^6+5/6*n^7)*p4*p2+
77837760*p9*p2*p1+9389520*p8*p3*p1-367416*p8*p2*p1^2+24494400*p7*p4*p1+
111041280*p7*p3*p2-17010*p6*p4*p2^2+306180*p8*p4*p2+816480*p4*p3*p1^3+6640704*
p3^2*p2*p1^2-163296*p3*p2^2*p1^3-489888*p3*p1^5+13540237260165/64*n^7-\
3814066479447/640*n^8+38827606419/320*n^9-1120731633/640*n^10-9261/128*n^12+
5182191/320*n^11+567*(-3042960+41520*n-240*n^2)*p4*p3*p2*p1+34292160*p5*p4*p3+
14097888*p6*p5*p1-4898880*p7*p2^2*p1+449064*p10*p2^2+20412*p6*p2^2*p1^2-102060*
p6*p4*p1^2+42525*p6*p4^2+127008*p6^2*p2-6858432*p5*p3*p2^2-2857680*p5*p4*p2*p1-\
108702712862292969/20*n^2+41640480*p14-107009233245175527/160*n^4+
232520740229675331/80*n^3+6804/5*(2089006920-117955640*n+4522265/2*n^2-21175*n^
3+165/2*n^4)*p10+1701*(81865091880-18825488173/2*n+1529015801/4*n^2-7666564*n^3
+352849/4*n^4-1107/2*n^5+3/2*n^6)*p8+567/16*(-1082503296+286799524/3*n-10464970
/3*n^2+189884/3*n^3-1430/3*n^4)*p2^4+2268*(1111964293440-4780248474219/20*n+
887096423677/48*n^2-33501984455/48*n^3+974181481/64*n^4-12620303/60*n^5+171655/
96*n^6-131/16*n^7+1/64*n^8)*p6+189/10*(-4043520+45360*n)*p1^6+567*(-36684963072
+5007413919*n-424423551/2*n^2+3689547*n^3-65745/2*n^4+126*n^5)*p1^4-\
3290985513545499/640*n^6+24951042894789081/320*n^5+567/160*(5046720-233840*n+
3120*n^2)*p2^5+1134*(18378360-374010*n+2730*n^2)*p12+6804/25*(-487569600+
15633450*n-110250*n^2)*p5^2+3402*(4456099589760-7283504403951/4*n+4239105582435
/16*n^2-887274598231/48*n^3+137917154603/192*n^4-561264447/32*n^5+27841927/96*n
^6-38053/12*n^7+3875/192*n^8-5/96*n^9)*p4+1701/4*(-26196531240+6821564485/3*n-\
441439505/6*n^2+3934925/3*n^3-75775/6*n^4+50*n^5)*p4^2+189*(-3468528+53088*n-\
336*n^2)*p6^2+6804*(-1491462604800+4536652236381/5*n-7412593592263/40*n^2+
2065262805287/120*n^3-26587548205/32*n^4+10982380339/480*n^5-93029327/240*n^6+
989591/240*n^7-2479/96*n^8+7/96*n^9)*p1^2+6804*(3287197900800-43982574339617/15
*n+39338512095641/45*n^2-171686006788091/1440*n^3+12480163996211/1440*n^4-\
144971213195/384*n^5+21082984439/1920*n^6-218891431/960*n^7+9598933/2880*n^8-\
179077/5760*n^9+161/1152*n^10)*p2+567/16*(567000-6000*n)*p4^3+1701*(-\
1999441204608+6211420627849/10*n-1694279105869/24*n^2+163771844911/40*n^3-\
4656604617/32*n^4+52688119/15*n^5-923621/16*n^6+70927/120*n^7-275/96*n^8)*p2^2+
567/2*(96878369088-71481334968/5*n+2588798545/3*n^2-177070465/6*n^3+1250631/2*n
^4-233707/30*n^5+265/6*n^6)*p2^3+756*(-423550745280+67322161041*n-7383149967/2*
n^2+92503236*n^3-2375163/2*n^4+7749*n^5-21*n^6)*p3^2
[7, 3, 3, 3, 2, 2]
-628992*p6*p3*p1^3+13608*p6*p2*p1^4-952560*p5*p4*p1^3-58634001728354304*n+
59439744*p5*p3^2*p1+36006768*p5^2*p1^2-9144576*p5*p3*p2*p1^2-2655072*p3^2*p2^3-\
2612736*p3^3*p2*p1-1360800*p4*p3^2*p1^2+190512*p5*p2^2*p1^3+4064256*p3^4+90720*
p4*p3*p2*p1^3+272160*p3^2*p2^2*p1^2+10206*p2^6+226800*p3*p2^4*p1-3402*p2^5*p1^2
-6048*p3*p2^3*p1^3+378/5*(2037840-10080*n)*p5*p3*p2^2+189/5*(-245560+1680*n)*p5
*p2^3*p1+189/2*(-134784+1932*n-12*n^2)*p6*p2^2*p1^2+189/8*(18400-160*n)*p4*p2^3
*p1^2+63*(1441440-5760*n)*p4*p3^2*p2+189/2*(717600-4800*n)*p4^2*p3*p1+567/8*(-\
81200+800*n)*p4^2*p2*p1^2+756/5*(-10033800+50400*n)*p5*p4*p3+756*(-103870302808
+6949002799*n-162409103*n^2+1901950*n^3-11720*n^4+30*n^5)*p4*p3*p1+567*(
11069015880-2025302518/3*n+47721554/3*n^2-612155/3*n^3+4510/3*n^4-5*n^5)*p4*p2*
p1^2+378*(16793166928-1070054766*n+25914326*n^2-307444*n^3+1556*n^4)*p3*p2^2*p1
+252*(-1019364000+48312168*n-840642*n^2+6588*n^3-18*n^4)*p3*p2*p1^3+1512*(-\
2201479579312+2873090324493/10*n-54691874481/4*n^2+658405251/2*n^3-18547901/4*n
^4+189966/5*n^5-289/2*n^6)*p3*p2*p1+1134/5*(271137160-9364810*n+110950*n^2-420*
n^3)*p5*p2^2*p1+756/5*(-10449600+217980*n-1260*n^2)*p5*p2*p1^3+126*(-6570600+
81000*n-360*n^2)*p4*p3*p1^3+567/4*(-23556032+713880*n-8720*n^2+40*n^3)*p4*p2^2*
p1^2+189/4*(527440-4800*n)*p4*p2*p1^4+126*(-16602336+348624*n-2160*n^2)*p3^2*p2
*p1^2+63*(-39158440+1157952*n-10224*n^2)*p3*p2^3*p1+63*(1458960-27216*n+144*n^2
)*p3*p2^2*p1^3+2268/5*(-1657758340+51013025*n-538825*n^2+2100*n^3)*p5*p4*p1+
1512/5*(-2566538940+83382180*n-837060*n^2+2520*n^3)*p5*p3*p2+1512/5*(117124140-\
2469600*n+15120*n^2)*p5*p3*p1^2+378*(147586352-4827767*n+128589/2*n^2-465*n^3+3
/2*n^4)*p6*p2*p1^2+648*(-1602111616+63723296*n-915446*n^2+5908*n^3-14*n^4)*p7*
p2*p1+504*(-1526282032+47635599*n-513900*n^2+2898*n^3-9*n^4)*p6*p3*p1+105257880
*p12*p2+42336*p6^2*p1^2-653184*p8*p3^2+63/2*(2822112-31236*n+132*n^2)*p6*p2^3+
23079168*p8*p6+2268/25*(-15449700+88200*n)*p5^2*p2-4790016*p10*p2^2+28440720*
p10*p4-2063880*p12*p1^2-18144*p6*p3*p2^2*p1+504*(-10792980+179190*n-990*n^2)*p9
*p2*p1+378*(-7347672+66096*n-432*n^2)*p8*p3*p1+567/2*(780480-10584*n+72*n^2)*p8
*p2*p1^2+324*(-8244040+78680*n-280*n^2)*p7*p4*p1+216*(-15000720+149856*n-672*n^
2)*p7*p3*p2+162*(1773520-24304*n+112*n^2)*p7*p2^2*p1+1512/5*(-8364160+66255*n-\
315*n^2)*p6*p5*p1+189*(-15919320+145350*n-510*n^2)*p6*p4*p2+189*(490240-6070*n+
30*n^2)*p6*p4*p1^2+4536/5*(-96991001380+14325304175/2*n-777345975/4*n^2+2669870
*n^3-75985/4*n^4+105/2*n^5)*p5*p2*p1+189/32*(-353280+1920*n)*p4*p2^4+129276*p8*
p2^3+567/16*(2109600-14400*n)*p4^2*p2^2-1270080*p6^2*p2+1296*(440206450768-\
119380106713/3*n+7493250275/6*n^2-114217873/6*n^3+162911*n^4-1435/2*n^5+7/6*n^6
)*p7*p1+756*(718811178228-64642188479*n+8052074185/4*n^2-237056097/8*n^3+
1795493/8*n^4-6375/8*n^5+9/8*n^6)*p6*p2+56*(176812848-3672864*n+23328*n^2)*p3^3
*p1+63*(362313120-10374912*n+85248*n^2)*p3^2*p2^2+189/16*(4030976-117584*n+1104
*n^2)*p2^4*p1^2+567/4*(127937360-3247500*n+39300*n^2-200*n^3)*p4^2*p1^2+126*(-\
2286841872+60420240*n-546480*n^2+1440*n^3)*p4*p3^2+189/4*(418994928-13831880*n+
148720*n^2-440*n^3)*p4*p2^3+567/4*(-2695761600+87605500*n-922100*n^2+3400*n^3)*
p4^2*p2+189*(-2670579408+103920462*n-1345617*n^2+7074*n^3-15*n^4)*p6*p2^2+63*(-\
3255520+28092*n-108*n^2)*p6*p1^4+1008*(8570015520-773665695/2*n+23569425/4*n^2-\
86625/2*n^3+495/4*n^4)*p9*p1+567*(14808391668-680380218*n+10218411*n^2-64746*n^
3+153*n^4)*p8*p2+567*(-839079228+28754922*n-354267*n^2+2538*n^3-9*n^4)*p8*p1^2+
432*(15771874692-598137876*n+6846168*n^2-36456*n^3+84*n^4)*p7*p3+216*(63527688-\
1352736*n+8064*n^2)*p7*p1^3+378*(17661862008-651610490*n+7068670*n^2-33920*n^3+
60*n^4)*p6*p4+504*(222596217792-22742338041*n+1673125497/2*n^2-30359973/2*n^3+
153594*n^4-1593/2*n^5+3/2*n^6)*p3*p1^3+567*(307658598352-509379648502/15*n+
4346916419/3*n^2-99605293/3*n^3+461393*n^4-19231/5*n^5+46/3*n^6)*p2^2*p1^2+189*
(-26768934448+2293633754*n-73899833*n^2+1225276*n^3-10919*n^4+42*n^5)*p2*p1^4+
63/8*(-111904+1344*n)*p2^3*p1^4+189/4*(95399872-4021000*n+60280*n^2-336*n^3)*p2
^2*p1^4+63/10*(-2342880+30240*n)*p2*p1^6+9072/5*(8194163055120-4102402029208/3*
n+1939814518565/24*n^2-109630103135/48*n^3+579962215/16*n^4-5601029/16*n^5+
92225/48*n^6-35/8*n^7)*p5*p1+1134*(12606720356352-2085019370537*n+729267451069/
6*n^2-6738285343/2*n^3+619050839/12*n^4-1833735/4*n^5+26135/12*n^6-15/4*n^7)*p4
*p2+1134*(-1519749543072+198139976915*n-55748115403/6*n^2+432857039/2*n^3-\
35854987/12*n^4+319861/12*n^5-605/4*n^6+5/12*n^7)*p4*p1^2+2268/5*(116452380-\
2074710*n+10230*n^2)*p10*p2+2268/5*(-4149860+48290*n-330*n^2)*p10*p1^2+3024*(
46833536630336-434451900345001/30*n+190078243032247/120*n^2-19702204202113/240*
n^3+9273440679/4*n^4-3176583639/80*n^5+104897941/240*n^6-117747/40*n^7+151/16*n
^8)*p3*p1+2268*(-11630183369536+8264843822639/3*n-28416427571833/120*n^2+
201763612269/20*n^3-24024534475/96*n^4+48066481/12*n^5-10240559/240*n^6+1434/5*
n^7-91/96*n^8)*p2*p1^2+756*(-59322584364+12640995508/3*n-1272668441/12*n^2+
32931619/24*n^3-265355/24*n^4+447/8*n^5-1/8*n^6)*p6*p1^2+3024/5*(834344378490-\
69860627865*n+3805539465/2*n^2-23078370*n^3+278355/2*n^4-315*n^5)*p5*p3+1512/5*
(6540688980-348510435*n+12643365/2*n^2-52605*n^3+315/2*n^4)*p5*p1^3+567/2*(-\
148519569552+10929698880*n-291064964*n^2+3742530*n^3-23520*n^4+50*n^5)*p4*p2^2+
189/2*(-560560288+20632100*n-248740*n^2+1200*n^3)*p4*p1^4+252*(-150772616868+
10233960396*n-243475758*n^2+2722740*n^3-12810*n^4)*p3^2*p2+252*(10500661284-\
548958276*n+9916002*n^2-83916*n^3+270*n^4)*p3^2*p1^2+126/5*(32067120-534960*n+
2160*n^2)*p3*p1^5+189/2*(-1829587632+328609372/3*n-7817204/3*n^2+94772/3*n^3-\
508/3*n^4)*p2^3*p1^2+1143072*p5*p1^5+756*p6*p2^3*p1^2-12096*p7*p2^3*p1-762048*
p6*p5*p3+102060*p6*p4*p2^2+72576*p6*p3^2*p2-1714608*p8*p5*p1-2551500*p8*p4*p2+
102060*p8*p4*p1^2-20412*p8*p2^2*p1^2-1766016*p7*p6*p1-1524096*p7*p5*p2-725760*
p7*p4*p3+145152*p7*p3*p2^2-9906624*p11*p2*p1-2395008*p10*p3*p1+299376*p10*p2*p1
^2-2494800*p9*p4*p1-3991680*p9*p3*p2+498960*p9*p2^2*p1+1296/5*(109735500-849660
*n+2940*n^2)*p7*p5+84*(-10296432+74736*n-432*n^2)*p6*p3^2+567/4*(-18993888+
278640*n-1296*n^2)*p8*p2^2+336*(95553810-1110780*n+5940*n^2)*p9*p3+567/2*(
105096960-1046880*n+4320*n^2)*p8*p4+9072/11*(60556496-1039038*n+6006*n^2)*p11*
p1+3084480*p3^2*p1^4-108864*p3*p2*p1^5-131137067662839/40*n^7+5932107086409/80*
n^8-21949586379/20*n^9+858394089/80*n^10+3087/16*n^12-2610279/40*n^11+1134/5*(
1260700-8400*n)*p5*p4*p2*p1+189/2*(-170880+960*n)*p4*p3*p2^2*p1-11340*p6*p4*p2*
p1^2-3483648*p7*p2*p1^3+378*(235259572-6885000*n+70680*n^2-240*n^3)*p4*p3*p2*p1
+181440*p7*p4*p2*p1+90720*p6*p4*p3*p1+190512*p6*p5*p2*p1-340200*p6*p4^2-2268*p6
*p2^4+86365440*p13*p1+20956320*p9*p5+39626496*p11*p3+252*(1235268-12024*n+72*n^
2)*p6*p3*p2*p1+326592*p8*p3*p2*p1+75624192*p7*p3*p1^2+28939680*p9*p1^3+8709120*
p7^2-122472*p8*p1^4+511241455911667698/5*n^2-1054892160*p14+189/8*(-10332000+
72000*n)*p4^3+2268*(-134758364569920+55465694793988*n-96493065502943/12*n^2+
3261384017951/6*n^3-308235291891/16*n^4+9303612007/24*n^5-37739885/8*n^6+104039
/3*n^7-6685/48*n^8+5/24*n^9)*p4+756*(-677214720+13434330*n-68250*n^2)*p12+4536/
5*(-73562448960+4112136325*n-138771325/2*n^2+489775*n^3-2475/2*n^4)*p10+4536/25
*(18258825900-658383600*n+6431250*n^2-22050*n^3)*p5^2+189/80*(-64629120+1989840
*n-18000*n^2)*p2^5+567/2*(885785494080-73869258040*n+1997856310*n^2-24258500*n^
3+151350*n^4-400*n^5)*p4^2+189/8*(24573927744-1660272224*n+41964040*n^2-507264*
n^3+2584*n^4)*p2^4+189*(-2919578450256+1949226004556/5*n-58029544850/3*n^2+
488801271*n^3-21230966/3*n^4+292669/5*n^5-668/3*n^6)*p2^3+63/5*(1682470320-\
88986600*n+1364400*n^2-7560*n^3)*p1^6+4536*(44598310272000-1681823595496853/60*
n+1079907052812131/180*n^2-285867997805971/480*n^3+5045269471423/160*n^4-\
5656999517941/5760*n^5+113066203613/5760*n^6-769334909/2880*n^7+7143161/2880*n^
8-84301/5760*n^9+49/1152*n^10)*p1^2+251784297888873939/20*n^4-\
274249096012056564/5*n^3+1134*(-2740034943360+314503471278*n-12127575504*n^2+
207212826*n^3-1797054*n^4+7506*n^5-12*n^6)*p8+126*(114099552-1014888*n+4872*n^2
)*p6^2+378*(1790524915520-4956271723478/15*n+133798170047/6*n^2-8945491967/12*n
^3+57007771/4*n^4-3340201/20*n^5+13649/12*n^6-7/2*n^7)*p1^4+7197351608485143/80
*n^6+1134*(61283414375232-94732880420084/5*n+8296576860987/4*n^2-6502317366691/
60*n^3+150022464149/48*n^4-3300634957/60*n^5+14725843/24*n^6-62176/15*n^7+641/
48*n^8)*p2^2-14404466789502363/10*n^5+1512*(-35332556379120+38119352757761/5*n-\
3467889738685/6*n^2+161764207655/8*n^3-17709629885/48*n^4+152137257/40*n^5-\
129979/6*n^6+119/2*n^7-1/16*n^8)*p6+504*(13888562439648-11255601591594/5*n+
125714444217*n^2-3221822487*n^3+44015172*n^4-1690101/5*n^5+1197*n^6)*p3^2+4536*
(-95271831936000+1712773092575701/20*n-3074974372719491/120*n^2+
1660025760531923/480*n^3-7218639974533/30*n^4+3605539657031/384*n^5-\
424399647379/1920*n^6+3211501379/960*n^7-31778749/960*n^8+389099/1920*n^9-77/
128*n^10)*p2
[7, 3, 3, 2, 2, 2, 2]
1159510322006507520*n-255467520*p7^2-144506880*p3^4+2688*(69151500-1089495*n+
4455*n^2)*p9*p2*p1+8064*(10529488173872-28882090814609/20*n+1705226499443/24*n^
2-10081192643/6*n^3+172420995/8*n^4-9073603/60*n^5+2803/6*n^6)*p3*p2*p1+12096/5
*(11269852090-378823025*n+3466225*n^2-11200*n^3)*p5*p4*p1+8064/5*(11521528480-\
356704040*n+3156020*n^2-8400*n^3)*p5*p3*p2+8064/5*(-1343102880+42353430*n-\
397950*n^2+1260*n^3)*p5*p3*p1^2+6048/5*(-1505649180+49669690*n-503650*n^2+1680*
n^3)*p5*p2^2*p1+4032/5*(156842140-5019035*n+53585*n^2-210*n^3)*p5*p2*p1^3+672*(
151013206-4154880*n+36600*n^2-120*n^3)*p4*p3*p1^3+756*(187866956-5724720*n+
54160*n^2-160*n^3)*p4*p2^2*p1^2+252*(-16289156+449060*n-4440*n^2+20*n^3)*p4*p2*
p1^4+672*(178384272-4835688*n+34584*n^2)*p3^2*p2*p1^2+336*(201731460-5532096*n+
39672*n^2)*p3*p2^3*p1+336*(-20926396+558360*n-3984*n^2)*p3*p2^2*p1^3+336/5*(
1376760-27480*n+120*n^2)*p3*p2*p1^5+24192/5*(523409188820-161818270775/4*n+
25927199725/24*n^2-26402005/2*n^3+1886675/24*n^4-735/4*n^5)*p5*p2*p1+4032*(
588274638790-43173838087*n+3168438844/3*n^2-11325535*n^3+167885/3*n^4-85*n^5)*
p4*p3*p1+63*(9040-80*n)*p4*p2^2*p1^4+3456*(9637573652-387884952*n+4933565*n^2-\
25942*n^3+49*n^4)*p7*p2*p1+2688*(10546632954-372155292*n+7598247/2*n^2-15681*n^
3+51/2*n^4)*p6*p3*p1+2016*(-1302604572+95192061/2*n-2296875/4*n^2+5811/2*n^3-21
/4*n^4)*p6*p2*p1^2+336*(-6676320+18240*n)*p4*p3^2*p2+336*(744000-2880*n)*p4*p3^
2*p1^2+126*(-124560+720*n)*p4*p2^3*p1^2+1008/5*(-111860+840*n)*p5*p2^2*p1^3+504
*(-6652400+32800*n)*p4^2*p3*p1+378*(903000-6000*n)*p4^2*p2*p1^2+2016/5*(-\
7902440+38640*n)*p5*p3*p2^2+1008/5*(1135260-7560*n)*p5*p2^3*p1+2016/5*(661850-\
4200*n)*p5*p4*p1^3+2688/5*(-6889680+30240*n)*p5*p3^2*p1+4032/5*(53876900-260400
*n)*p5*p4*p3+1008*(-7556460+65490*n-210*n^2)*p6*p4*p1^2+448*(741690-6444*n+36*n
^2)*p6*p3*p1^3+504*(1159692-13056*n+48*n^2)*p6*p2^2*p1^2+168*(-84204+1038*n-6*n
^2)*p6*p2*p1^4+864*(-9691024+120288*n-448*n^2)*p7*p2^2*p1+576*(939960-12824*n+
56*n^2)*p7*p2*p1^3+8064/5*(68154030-500955*n+1155*n^2)*p6*p5*p1+1008*(66190980-\
494160*n+1200*n^2)*p6*p4*p2+1728*(66997000-605640*n+1960*n^2)*p7*p4*p1+1152*(
66772440-630560*n+2240*n^2)*p7*p3*p2+1152*(-7654584+78960*n-336*n^2)*p7*p3*p1^2
+2016*(65354760-741528*n+2952*n^2)*p8*p3*p1+1512*(-8635464+128484*n-540*n^2)*p8
*p2*p1^2-32256*p6*p3*p2*p1^3+370944*p6*p3*p2^2*p1+453600*p6*p4*p2*p1^2-3306240*
p6*p4*p3*p1-4233600*p6*p5*p2*p1+774144*p7*p3*p2*p1^2-7257600*p7*p4*p2*p1+3024*(
-78556488776+5369162421*n-131199230*n^2+3034535/2*n^3-8460*n^4+35/2*n^5)*p4*p2*
p1^2+2016*(-90737050444+5813190516*n-396154225/3*n^2+1355958*n^3-16661/3*n^4)*
p3*p2^2*p1+1344*(10489206672-636580843*n+14036508*n^2-143832*n^3+595*n^4)*p3*p2
*p1^3+12096/25*(64836800-367500*n)*p5^2*p2+12096/25*(-7291200+44100*n)*p5^2*p1^
2+1512*(-518305800+4821660*n-16020*n^2)*p8*p4+756*(72645960-962316*n+3636*n^2)*
p8*p2^2+252*(549576-5724*n+36*n^2)*p8*p1^4+6912/5*(-541724400+4067980*n-10780*n
^2)*p7*p5+448*(57755160-381600*n+1152*n^2)*p6*p3^2+168*(-9468108+89910*n-270*n^
2)*p6*p2^3+48384/11*(-457957500+8612604*n-36036*n^2)*p11*p1+12096/5*(-502133500
+8194670*n-32450*n^2)*p10*p2+12096/5*(58182300-1013760*n+4620*n^2)*p10*p1^2+
1792*(-492435900+5891490*n-22770*n^2)*p9*p3+896*(-6395400+95535*n-495*n^2)*p9*
p1^3-1225728*p6*p3^2*p2+193536*p6*p3^2*p1^2+3024*(-1723880219824+6190343731967/
30*n-111156901639/12*n^2+629008484/3*n^3-31963297/12*n^4+555353/30*n^5-166/3*n^
6)*p2^2*p1^2+1008*(227513063936-246610203119/10*n+12235111753/12*n^2-64591348/3
*n^3+1029637/4*n^4-50483/30*n^5+14/3*n^6)*p2*p1^4+16128*(-194149101782400+
247903531869645/4*n-843568190681971/120*n^2+30176088101621/80*n^3-1038737595527
/96*n^4+8612045995/48*n^5-71699283/40*n^6+1244111/120*n^7-2633/96*n^8)*p3*p1+
12096*(52089363699360-394490935808827/30*n+292119421630441/240*n^2-444882808575
/8*n^3+274774596355/192*n^4-2686291937/120*n^5+104612183/480*n^6-4927/4*n^7+595
/192*n^8)*p2*p1^2+1344*(675376976160-44914608076*n+998115068*n^2-9845880*n^3+
39116*n^4)*p3^2*p2+1344*(-82320704592+5365334952*n-121412004*n^2+1237560*n^3-\
5112*n^4)*p3^2*p1^2+672/5*(-1015266480+51476760*n-897315*n^2+6690*n^3-15*n^4)*
p3*p1^5+504*(11956125504-731745216*n+16435386*n^2-168018*n^3+672*n^4)*p2^3*p1^2
+252*(-1279040320+71904230*n-4511368/3*n^2+14494*n^3-164/3*n^4)*p2^2*p1^4+168/5
*(106402320-4715770*n+72790*n^2-420*n^3)*p2*p1^6+48384/5*(-37429547027040+
26286325161859/4*n-2456914305685/6*n^2+572991019685/48*n^3-2924831315/16*n^4+
74530897/48*n^5-336175/48*n^6+105/8*n^7)*p5*p1+6048*(-53353984687400+
53020399627145/6*n-6039823436971/12*n^2+38978972848/3*n^3-174139018*n^4+
15596155/12*n^5-59285/12*n^6+25/4*n^7)*p4*p2+6048*(8075067449160-7052478966331/
6*n+747320174185/12*n^2-9588766777/6*n^3+67269241/3*n^4-2159441/12*n^5+9115/12*
n^6-5/4*n^7)*p4*p1^2+2688*(-1476561506904+3647395748083/20*n-67006075071/8*n^2+
382037031/2*n^3-19398421/8*n^4+342887/20*n^5-107/2*n^6)*p3*p1^3+63*(-25289136+
680112*n-4752*n^2)*p2^4*p1^2+42*(2271192-55848*n+360*n^2)*p2^3*p1^4+42/5*(-\
113800+1680*n)*p2^2*p1^6+6912*(-2299998227100+224409145457*n-14916707309/2*n^2+
220355835/2*n^3-801360*n^4+5495/2*n^5-7/2*n^6)*p7*p1+4032*(-3159627831060+
278834191474*n-32425632403/4*n^2+830670659/8*n^3-5270347/8*n^4+15245/8*n^5-15/8
*n^6)*p6*p2+4032*(399944727540-33580081353*n+3953236725/4*n^2-108264195/8*n^3+
766659/8*n^4-2565/8*n^5+3/8*n^6)*p6*p1^2+16128/5*(-3755639027700+632338263025/2
*n-33396634425/4*n^2+91067165*n^3-1885135/4*n^4+1785/2*n^5)*p5*p3+8064/5*(-\
62650900200+18113514125/4*n-933193345/8*n^2+2875075/2*n^3-74935/8*n^4+105/4*n^5
)*p5*p1^3+1512*(638902160080-133757633317/3*n+3195472372/3*n^2-69698875/6*n^3+
175340/3*n^4-185/2*n^5)*p4*p2^2+504*(8644069264-531453561*n+35173282/3*n^2-\
254785/2*n^3+2330/3*n^4-5/2*n^5)*p4*p1^4+2016/25*(-10416000+215250*n-1050*n^2)*
p5*p1^5+756*(11871808200-356191300*n+3050100*n^2-8000*n^3)*p4^2*p2+756*(-\
1383118360+42580500*n-399500*n^2+1400*n^3)*p4^2*p1^2+672*(11502333640-311166360
*n+2398440*n^2-3840*n^3)*p4*p3^2+252*(-1582455372+46592220*n-403200*n^2+900*n^3
)*p4*p2^3+84/5*(622900-6000*n)*p4*p1^6+896/3*(-1438680528+37936944*n-264816*n^2
)*p3^3*p1+336*(-1524611248+40787400*n-284952*n^2)*p3^2*p2^2+112*(-14399424+
310536*n-1656*n^2)*p3^2*p1^4+2016*(-83506577280+6070043815/2*n-112444425/4*n^2+
209045/2*n^3-495/4*n^4)*p6*p4+1008*(11022374028-782913967/2*n+17241489/4*n^2-\
37265/2*n^3+111/4*n^4)*p6*p2^2+336*(116775252-7230339/2*n+155181/4*n^2-501/2*n^
3+3/4*n^4)*p6*p1^4+5376*(-53211300120+2654850825*n-40129650*n^2+239580*n^3-495*
n^4)*p9*p1+3024*(-65811493320+2864608710*n-37675857*n^2+200814*n^3-387*n^4)*p8*
p2+3024*(7761249000-342941526*n+4860765*n^2-29718*n^3+63*n^4)*p8*p1^2+2304*(-\
75391492680+2878673476*n-30253706*n^2+133028*n^3-238*n^4)*p7*p3+1152*(-\
1024624524+39038776*n-498995*n^2+3122*n^3-7*n^4)*p7*p1^3+63/2*(1036800-4320*n)*
p4*p2^4+189*(-7705000+38000*n)*p4^2*p2^2+63*(-43400+400*n)*p4^2*p1^4-\
2028942696666688992*n^2-1645056*p7*p1^5+6048*p6*p1^6-6096384*p5*p3*p1^4+169344*
p5*p2*p1^5+40320*p4*p3*p1^5+121798656*p3^3*p2*p1-3354624*p3^3*p1^3+49883904*p3^
2*p2^3-17385984*p3^2*p2^2*p1^2+370944*p3^2*p2*p1^4-4935168*p3*p2^4*p1+628992*p3
*p2^3*p1^3-8064*p3*p2^2*p1^5-122472*p2^6+81648*p2^5*p1^2-4536*p2^4*p1^4-\
1261655126724466614/5*n^4+5473331656236748836/5*n^3+28130457600*p14-48384*p3*p1
^7-17681890786447797/10*n^6+28804968131082087*n^5-18144*p6*p2^3*p1^2+1008*p6*p2
^2*p1^4-2967552*p7*p3*p2^2+24192*(-174046601664000+224663577121589/2*n-\
2989710323301167/120*n^2+248482098112703/96*n^3-34663068306467/240*n^4+
3017493775767/640*n^5-61428959431/640*n^6+81224407/64*n^7-10442327/960*n^8+
106589/1920*n^9-49/384*n^10)*p1^2+290304*p7*p2^3*p1-32256*p7*p2^2*p1^3+14224896
*p6*p5*p3+169344*p6*p5*p1^3+504*(958960-3680*n)*p4*p3*p2^2*p1+336*(-88080+480*n
)*p4*p3*p2*p1^3+26449920*p7*p4*p3-4064256*p7*p5*p1^2+343429632*p11*p2*p1-\
3096576*p7*p3^2*p1+161280*p7*p4*p1^3+2016*(-1500491378+43996160*n-372240*n^2+
800*n^3)*p4*p3*p2*p1-23151744*p10*p2*p1^2+24192*(362790251136000-\
658206834907977/2*n+198654884722197/2*n^2-6454159402354421/480*n^3+
1332627758549821/1440*n^4-200127145248337/5760*n^5+867119358065/1152*n^6-\
28789425749/2880*n^7+242055533/2880*n^8-2426953/5760*n^9+371/384*n^10)*p2+
176698368*p10*p3*p1+672*(-555463440+4142880*n-12096*n^2)*p6^2+106444800*p9*p4*
p1+24192/5*(339683143800-37836201975/2*n+1185678285/4*n^2-3453725/2*n^3+13915/4
*n^4)*p10+6048*(12003116954400-1383822958560*n+52127879223*n^2-815492307*n^3+
5978730*n^4-20553*n^5+27*n^6)*p8-10644480*p9*p3*p1^2+2016*(-9649194192960+
20613396777351/10*n-40118425257371/240*n^2+276371831979/40*n^3-31687481329/192*
n^4+291885733/120*n^5-3569191/160*n^6+6979/60*n^7-49/192*n^8)*p1^4-2289530880*
p12*p2-4145541120*p13*p1-1232824320*p11*p3-521579520*p9*p5+133056*p10*p1^4+
27216*p6*p2^4+19305216*p6^2*p2-3048192*p6^2*p1^2+6501600*p6*p4^2+126*(-\
97408595328+6029152140*n-133593876*n^2+1336716*n^3-5220*n^4)*p2^4+1008*(
12356135950128-16088035878503/10*n+299187235727/4*n^2-1688552092*n^3+83954797/4
*n^4-1424577/10*n^5+417*n^6)*p2^3+336/5*(-27393434400+5151724585/2*n-360998545/
4*n^2+1546075*n^3-55295/4*n^4+105/2*n^5)*p1^6+6048*(-247172484085440+
154154214760531/2*n-2016898844067259/240*n^2+153315740502481/360*n^3-\
729192931827/64*n^4+12742554983/72*n^5-269234479/160*n^6+418898/45*n^7-4441/192
*n^8)*p2^2-12727869563997/10*n^8+307730863074033/5*n^7-1361269623/10*n^10+
16455081825*n^9-3087/2*n^12+3379971/5*n^11-1436400*p6*p4*p2^2+1344*(-8522046+
71256*n-240*n^2)*p6*p3*p2*p1-12773376*p8*p3*p2*p1+54432000*p8*p4*p2+70108416*p8
*p5*p1+887040*p9*p2*p1^3-13305600*p9*p2^2*p1-5040*p6*p4*p1^4+290304*p8*p3*p1^3-\
5987520*p8*p4*p1^2+2688*(-59133756923520+9676253881265*n-1073400552397/2*n^2+
13169470817*n^3-325953349/2*n^4+1092140*n^5-3269*n^6)*p3^2+33868800*p7*p5*p2+
80704512*p7*p6*p1+4032/5*(921480-5040*n)*p5*p3*p2*p1^2-18144*p8*p2*p1^4+870912*
p8*p2^2*p1^2+6048/5*(-8064350+49000*n)*p5*p4*p2*p1+92252160*p9*p3*p2+12096*(
533930828776800-1332434820417905/6*n+1553887541916649/48*n^2-19543990923655/9*n
^3+4751098428665/64*n^4-197478530743/144*n^5+463566729/32*n^6-3212293/36*n^7+
55355/192*n^8-5/16*n^9)*p4+8064*(146879883750600-31974306642087*n+
19324560176815/8*n^2-654115288747/8*n^3+43657461895/32*n^4-96486253/8*n^5+
913661/16*n^6-128*n^7+3/32*n^8)*p6+63/5*(211677840-5654880*n+38880*n^2)*p2^5+6/
5*(-4643520+70560*n)*p1^8-2122848*p8*p2^3+23224320*p8*p3^2+126*(51429000-258000
*n)*p4^3-521458560*p8*p6+264176640*p12*p1^2+4032*(3280258800-63740040*n+251160*
n^2)*p12+90078912*p10*p2^2-771724800*p10*p4-8805888*p11*p1^3+24192/25*(-\
86406217800+3087980000*n-26638850*n^2+80850*n^3)*p5^2+1512*(-3978704236400+
996691390640/3*n-25785940505/3*n^2+270730225/3*n^3-1351075/3*n^4+825*n^5)*p4^2
[7, 3, 2, 2, 2, 2, 2, 2]
-24096703459936665600*n-10752*p3*p2*p1^7-6048*p2^3*p1^6+3913728000*p3^4+
6131220480*p7^2+30240*(19720536-290736*n+1008*n^2)*p8*p2*p1^2+40320*(-117061488
+1302336*n-4320*n^2)*p8*p3*p1+53760*(-118871280+1839915*n-6435*n^2)*p9*p2*p1+
7560*(-2112600+10000*n)*p4^2*p2*p1^2+6720*(8927520-18400*n)*p4*p3^2*p2+6720*(-\
1877040+4800*n)*p4*p3^2*p1^2+672*(-45000+240*n)*p4*p3*p1^5+2520*(242460-1080*n)
*p4*p2^3*p1^2+1260*(-39960+240*n)*p4*p2^2*p1^4+10080*(12070800-40800*n)*p4^2*p3
*p1+8064*(-2811900+18200*n)*p5*p4*p1^3+10752*(12465264-50400*n)*p5*p3^2*p1+8064
*(10415328-47880*n)*p5*p3*p2^2+2688*(378000-2520*n)*p5*p3*p1^4+4032*(-1781136+
11340*n)*p5*p2^3*p1+4032*(328020-2520*n)*p5*p2^2*p1^3+4032/5*(-47320+420*n)*p5*
p2*p1^5+3360*(417228-5031*n+15*n^2)*p6*p2*p1^4+16128*(-74818800+300440*n)*p5*p4
*p3+10080*(-2437152+25335*n-63*n^2)*p6*p2^2*p1^2+20160*(-89607420+587265*n-1065
*n^2)*p6*p4*p2+20160*(19354440-148485*n+285*n^2)*p6*p4*p1^2+8960*(-2863512+
26034*n-66*n^2)*p6*p3*p1^3+23040*(19092248-197512*n+616*n^2)*p7*p3*p1^2+17280*(
15992060-189420*n+588*n^2)*p7*p2^2*p1+11520*(-3035844+41468*n-140*n^2)*p7*p2*p1
^3+32256*(-124432896+825930*n-1218*n^2)*p6*p5*p1+34560*(-121493540+1010660*n-\
2660*n^2)*p7*p4*p1+23040*(-90386856+814184*n-2408*n^2)*p7*p3*p2+24192*(
2426909618-79074051*n+733152*n^2-2205*n^3)*p5*p2^2*p1+16128*(-423347526+
14851683*n-150920*n^2+525*n^3)*p5*p2*p1^3+13440*(-437971020+13870310*n-112810*n
^2+220*n^3)*p4*p3*p1^3+15120*(-379757592+11504365*n-94455*n^2+210*n^3)*p4*p2^2*
p1^2+5040*(62586644-1977855*n+17505*n^2-50*n^3)*p4*p2*p1^4+13440*(-374038016+
10369568*n-67296*n^2)*p3^2*p2*p1^2+6720*(-318112272+8416584*n-51732*n^2)*p3*p2^
3*p1+6720*(54852396-1511848*n+9552*n^2)*p3*p2^2*p1^3+1344*(-8255576+225452*n-\
1392*n^2)*p3*p2*p1^5+96768*(-755060703124+182036728363/3*n-1632145760*n^2+
56741216/3*n^3-101675*n^4+210*n^5)*p5*p2*p1+80640*(-854248350692+65608905294*n-\
3250433325/2*n^2+16355420*n^3-141895/2*n^4+80*n^5)*p4*p3*p1+60480*(135347686364
-59564149799/6*n+2992879409/12*n^2-16296415/6*n^3+156235/12*n^4-20*n^5)*p4*p2*
p1^2+40320*(135730205348-8862771676*n+393434783/2*n^2-1866268*n^3+13201/2*n^4)*
p3*p2^2*p1+69120*(-15409682596+1891802122/3*n-7600250*n^2+106988/3*n^3-56*n^4)*
p7*p2*p1+53760*(-17210944632+624469026*n-5939490*n^2+21120*n^3-24*n^4)*p6*p3*p1
+40320*(2634979212-100862941*n+1141965*n^2-4934*n^3+6*n^4)*p6*p2*p1^2+48384*(-\
18481934198+640166135*n-5317130*n^2+14035*n^3)*p5*p4*p1+168*(4620-40*n)*p4*p2*
p1^6+1505280*p6*p3*p2*p1^3-9192960*p6*p3*p2^2*p1-15120000*p6*p4*p2*p1^2+
82252800*p6*p4*p3*p1+105670656*p6*p5*p2*p1-36126720*p7*p3*p2*p1^2+241920000*p7*
p4*p2*p1+449971200*p8*p3*p2*p1+26880*(-22376800020+4525002113/3*n-105573977/3*n
^2+1046059/3*n^3-3835/3*n^4)*p3*p2*p1^3+161280*(-13652835243892+5854423768304/3
*n-396879512623/4*n^2+56577042895/24*n^3-695692163/24*n^4+4485937/24*n^5-12067/
24*n^6)*p3*p2*p1+32256*(-15358931196+466388202*n-3793832*n^2+9030*n^3)*p5*p3*p2
+32256*(2836023484-96639746*n+855064*n^2-2310*n^3)*p5*p3*p1^2+30240*(714425040-\
6218520*n+18360*n^2)*p8*p4+967680/11*(798305508-15285270*n+54054*n^2)*p11*p1+
48384*(680299620-10825815*n+37895*n^2)*p10*p2+48384*(-138338200+2600455*n-9295*
n^2)*p10*p1^2+35840*(676922400-7871490*n+26730*n^2)*p9*p3+3780*(10130400-38400*
n)*p4^2*p2^2+1260*(378000-2400*n)*p4^2*p1^4+630*(-1250640+4320*n)*p4*p2^4+3360*
(12120516-107163*n+243*n^2)*p6*p2^3+224*(-49896+555*n-3*n^2)*p6*p1^6+48384/5*(-\
88717440+458640*n)*p5^2*p2+48384/5*(19282480-117600*n)*p5^2*p1^2+8960*(-\
79174368+472092*n-1020*n^2)*p6*p3^2+1152*(465500-6748*n+28*n^2)*p7*p1^5+15120*(
-96852096+1235304*n-4104*n^2)*p8*p2^2+5040*(-3464496+57528*n-216*n^2)*p8*p1^4+
27648*(748165320-5174008*n+11368*n^2)*p7*p5+17920*(22762080-409365*n+1485*n^2)*
p9*p1^3+364694400*p8*p4*p1^2-845365248*p7*p5*p2+216760320*p7*p5*p1^2-658022400*
p7*p4*p3-2658023424*p8*p5*p1-1475107200*p8*p4*p2+439084800*p9*p2^2*p1-62092800*
p9*p2*p1^3-2519193600*p9*p3*p2+603187200*p9*p3*p1^2+1107025920*p10*p2*p1^2-\
4124736000*p9*p4*p1-6642155520*p10*p3*p1-12152125440*p11*p2*p1+53760*(
2326303195404-317783736594*n+194141164781/12*n^2-9622953035/24*n^3+42017961/8*n
^4-857605/24*n^5+2411/24*n^6)*p3*p1^3+60480*(2521041531312-9665349888379/30*n+
365563498765/24*n^2-16807948421/48*n^3+205006261/48*n^4-2149221/80*n^5+1051/16*
n^6)*p2^2*p1^2+20160*(-422573280016+781957134304/15*n-19569564813/8*n^2+
2730822701/48*n^3-33831361/48*n^4+1063711/240*n^5-497/48*n^6)*p2*p1^4+322560*(
222454384708248-365006934739679/5*n+85443480133841/10*n^2-473211411560*n^3+
166510766731/12*n^4-27444811819/120*n^5+87048221/40*n^6-277417/24*n^7+643/24*n^
8)*p3*p1+241920*(-63300371854320+83890911272973/5*n-591088404203921/360*n^2+
57081137611021/720*n^3-152889314647/72*n^4+24050660833/720*n^5-224508553/720*n^
6+577697/360*n^7-161/48*n^8)*p2*p1^2+10080*(-21870842024+1624653847*n-42568124*
n^2+494515*n^3-2595*n^4+5*n^5)*p4*p1^4+26880*(-864314862240+172261275758/3*n-\
3719115269/3*n^2+34165786/3*n^3-120547/3*n^4)*p3^2*p2+26880*(143665386016-\
10162465940*n+240266208*n^2-2347620*n^3+8728*n^4)*p3^2*p1^2+2688*(3529309300-\
236029642*n+11037973/2*n^2-54826*n^3+403/2*n^4)*p3*p1^5+10080*(-21173454288+
2672949705/2*n-117291609/4*n^2+544851/2*n^3-3519/4*n^4)*p2^3*p1^2+5040*(
3407692448-215945689*n+9567887/2*n^2-44425*n^3+277/2*n^4)*p2^2*p1^4+672*(-\
513772824+187598461/6*n-7890305/12*n^2+33707/6*n^3-175/12*n^4)*p2*p1^6+193536*(
46457563051116-84759606152557/10*n+6588909808495/12*n^2-65747103877/4*n^3+
5977492577/24*n^4-79168117/40*n^5+192857/24*n^6-105/8*n^7)*p5*p1+120960*(
63187574825424-10598752722894*n+14529464143555/24*n^2-737003376325/48*n^3+
9394056149/48*n^4-64452367/48*n^5+215285/48*n^6-55/12*n^7)*p4*p2+120960*(-\
11100593051576+10381689036685/6*n-2360709826325/24*n^2+127914561901/48*n^3-\
1808169553/48*n^4+4519413/16*n^5-49525/48*n^6+5/4*n^7)*p4*p1^2+1260*(47373984-\
1224180*n+6804*n^2)*p2^4*p1^2+840*(-7450920+192978*n-1026*n^2)*p2^3*p1^4+168*(
969408-23446*n+102*n^2)*p2^2*p1^6+12*(-84896+1568*n)*p2*p1^8+138240*(
3164560282044-970586988007/3*n+66675418439/6*n^2-323695533/2*n^3+3239726/3*n^4-\
19747/6*n^5+7/2*n^6)*p7*p1+80640*(3948129610236-350394885106*n+40117129037/4*n^
2-974510303/8*n^3+5658459/8*n^4-14609/8*n^5+11/8*n^6)*p6*p2+80640*(-\
644378366520+58890973076*n-7430401241/4*n^2+205247503/8*n^3-1317083/8*n^4+3745/
8*n^5-3/8*n^6)*p6*p1^2+64512*(4699451032080-1195758475156/3*n+31122780052/3*n^2
-319966178/3*n^3+1508402/3*n^4-840*n^5)*p5*p3+32256*(123247415676-30440733505/3
*n+878716237/3*n^2-22520617/6*n^3+66710/3*n^4-105/2*n^5)*p5*p1^3+30240*(-\
815441083344+56711784856*n-2623463247/2*n^2+13231410*n^3-116635/2*n^4+75*n^5)*
p4*p2^2+20160*(-14563745028+505014672*n-10287141/2*n^2+19929*n^3-45/2*n^4)*p6*
p2^2+6720*(-436807236+17718234*n-441735/2*n^2+1083*n^3-3/2*n^4)*p6*p1^4+8064/5*
(66069010-2354555*n+25060*n^2-105*n^3)*p5*p1^5+15120*(-15827479080+462905450*n-\
3515750*n^2+7100*n^3)*p4^2*p2+15120*(2938550160-97250650*n+803350*n^2-1900*n^3)
*p4^2*p1^2+13440*(-15461565840+410143580*n-2827060*n^2+3400*n^3)*p4*p3^2+5040*(
2076006996-58484745*n+443475*n^2-810*n^3)*p4*p2^3+336*(-8838048+266735*n-2305*n
^2+10*n^3)*p4*p1^6+17920/3*(2418055920-64052496*n+405360*n^2)*p3^3*p1+6720*(
2019504144-52217416*n+322968*n^2)*p3^2*p2^2+2240*(62231088-1801776*n+12192*n^2)
*p3^2*p1^4+64*(981204-22596*n+84*n^2)*p3*p1^7+107520*(82452943188-8601557745/2*
n+257252985/4*n^2-685905/2*n^3+2475/4*n^4)*p9*p1+60480*(86318825040-3724576092*
n+46604955*n^2-227010*n^3+387*n^4)*p8*p2+60480*(-15081041544+731701932*n-\
10585275*n^2+55938*n^3-99*n^4)*p8*p1^2+46080*(99486759960-3777990020*n+37376780
*n^2-148904*n^3+224*n^4)*p7*p3+23040*(2644725804-118307742*n+1616216*n^2-8344*n
^3+14*n^4)*p7*p1^3+40320*(110270626452-3978397710*n+67491495/2*n^2-107415*n^3+
195/2*n^4)*p6*p4+604800*p6*p4*p1^4+24729600*p6*p3^2*p2+29030400*p6*p4*p2^2+
73543680*p7*p3*p2^2-19353600*p7*p4*p1^3+2358720*p8*p2*p1^4-9031680*p6*p5*p1^3-\
6451200*p6*p3^2*p1^2-32256*p6*p3*p1^5+544320*p6*p2^3*p1^2-60480*p6*p2^2*p1^4+
1344*p6*p2*p1^6-278175744*p6*p5*p3+1290240*p7*p3*p1^4-8709120*p7*p2^3*p1+
1935360*p7*p2^2*p1^3-64512*p7*p2*p1^5+103219200*p7*p3^2*p1-33868800*p8*p3*p1^3-\
37558080*p8*p2^2*p1^2-2392104960*p7*p6*p1+112896*p5*p1^7+262348800*p3^3*p1^3-\
4081459200*p3^3*p2*p1-1218792960*p3^2*p2^3-40266240*p3^2*p2*p1^4+715599360*p3^2
*p2^2*p1^2-31449600*p3*p2^3*p1^3+333312*p3^2*p1^6+137168640*p3*p2^4*p1+1306368*
p3*p2^2*p1^5-2449440*p2^5*p1^2+2449440*p2^6+272160*p2^4*p1^4-\
23001363329859398400*n^3+5343759478220362416*n^4-787652812800*p14-317668299984*
n^9+2427087516*n^10-127008000*p6*p4^2-628992000*p8*p3^2-379330560*p6^2*p2+24192
*(14094920-74340*n)*p5*p4*p2*p1+16128*(-2145976+11760*n)*p5*p3*p2*p1^2+26880*(
14574912-112770*n+258*n^2)*p6*p3*p2*p1+880588800*p11*p1^3+6720*(295200-1120*n)*
p4*p3*p2*p1^3+157530562560*p13*p1+21794572800*p10*p4+10080*(-1554120+4560*n)*p4
*p3*p2^2*p1-14970009600*p12*p1^2+62874040320*p12*p2+34519080960*p11*p3+40320*(
2470242320-71801670*n+538710*n^2-860*n^3)*p4*p3*p2*p1+14604226560*p9*p5-\
2387024640*p10*p2^2+101606400*p6^2*p1^2-34594560*p10*p1^4+12721121280*p8*p6+
887040*p9*p1^5-12096*p8*p1^6+53887680*p8*p2^3+120960*(-14640324098400+
1704655222354*n-63961121758*n^2+965566682*n^3-6554672*n^4+20538*n^5-24*n^6)*p8+
120960*(278258199778944-440270970122108/5*n+48516151866807/5*n^2-\
118167788157061/240*n^3+414709776767/32*n^4-46343910721/240*n^5+68477959/40*n^6
-1020317/120*n^7+565/32*n^8)*p2^2+483840*(189130736289600-3747268921900027/30*n
+2569571600384143/90*n^2-98560649475959/32*n^3+129257607509881/720*n^4-\
7046419587415/1152*n^5+738040543103/5760*n^6-975462263/576*n^7+40223501/2880*n^
8-377531/5760*n^9+49/384*n^10)*p1^2+96768/5*(114171777720-4058529860*n+32226320
*n^2-85260*n^3)*p5^2+24*(69763456-3789240*n+66304*n^2-392*n^3)*p1^8+53760*(
70033790106000-11611284761834*n+3878077643209/6*n^2-187121971513/12*n^3+
734412419/4*n^4-13659695/12*n^5+36421/12*n^6)*p3^2+37665817137684036*n^6-\
613588377471832896*n^5+25975284195084*n^8-1295821563375192*n^7+
42331500033440986368*n^2-10763928*n^11+20580*n^12-544320*p6*p2^4+80640*(-\
4444221600+84948864*n-297024*n^2)*p12+252*(-267643440+6690060*n-37260*n^2)*p2^5
+96768*(-437533616520+24423424025*n-370161220*n^2+1971970*n^3-3575*n^4)*p10+
2520*(-71442000+252000*n)*p4^3+13440*(763804944-4995900*n+10332*n^2)*p6^2+30240
*(4978535879520-418775917910*n+10656610930*n^2-104141850*n^3+457800*n^4-650*n^5
)*p4^2+2520*(125450354016-7625904642*n+160422111*n^2-1447722*n^3+4653*n^4)*p2^4
+161280*(-170009919719640+187428713395119/5*n-11408482094007/4*n^2+191812715601
/2*n^3-24754015965/16*n^4+255370449/20*n^5-441259/8*n^6+441/4*n^7-1/16*n^8)*p6+
241920*(-590092633494000+248530281196666*n-36633018088515*n^2+118599393826837/
48*n^3-8051041117273/96*n^4+24043520353/16*n^5-358324541/24*n^6+2020991/24*n^7-\
7665/32*n^8+5/24*n^9)*p4+20160*(-14997129306192+9849093448827/5*n-728059804641/
8*n^2+31855577487/16*n^3-370984227/16*n^4+11306853/80*n^5-5499/16*n^6)*p2^3+
40320*(13204477800576-15413924978988/5*n+16621211835013/60*n^2-3065836972969/
240*n^3+10811428941/32*n^4-429104447/80*n^5+761323/15*n^6-31213/120*n^7+49/96*n
^8)*p1^4+483840*(-386356890830400+1769693238889289/5*n-38890140167752897/360*n^
2+4253292385325407/288*n^3-294121113198085/288*n^4+219494448585679/5760*n^5-\
515288346627/640*n^6+5861465779/576*n^7-45761843/576*n^8+2057543/5760*n^9-791/
1152*n^10)*p2+1344*(69732744096-82147265107/10*n+8938363585/24*n^2-402736069/48
*n^3+1589743/16*n^4-136927/240*n^5+49/48*n^6)*p1^6
[7, 2, 2, 2, 2, 2, 2, 2, 2]
524990395185056317440*n-357021845932139292800/3*n^4+1521607423774227741952/3*n^
3-926168388207673246720*n^2+12042240*(4844677778068-719739194220*n+456142916339
/12*n^2-7442517871/8*n^3+277227935/24*n^4-580657/8*n^5+1433/8*n^6)*p3*p2*p1+
1003520*(265550660-8840590*n+67040*n^2-100*n^3)*p4*p3*p1^3+4014080*(7356263628-\
271975439*n+5045781/2*n^2-8359*n^3+15/2*n^4)*p6*p3*p1+3010560*(-1339781616+
107799537/2*n-2465859/4*n^2+4965/2*n^3-9/4*n^4)*p6*p2*p1^2+3612672*(7885115420-\
276645390*n+2159075*n^2-4935*n^3)*p5*p4*p1+2408448*(5980951592-182637084*n+
1424514*n^2-3150*n^3)*p5*p3*p2+2408448*(-1426290152+50359136*n-429058*n^2+1050*
n^3)*p5*p3*p1^2+5160960*(6668325832-281808530*n+3430063*n^2-15526*n^3+21*n^4)*
p7*p2*p1+1806336*(-1115958312+37244268*n-337239*n^2+945*n^3)*p5*p2^2*p1+1204224
*(259837928-9773022*n+100191*n^2-315*n^3)*p5*p2*p1^3+501760*(154132956-4041846*
n+22356*n^2)*p3*p2^3*p1+501760*(-36228804+1024008*n-5922*n^2)*p3*p2^2*p1^3+
100352*(8220412-249334*n+1524*n^2)*p3*p2*p1^5+3010560*(-56021257412+7611641197/
2*n-345168297/4*n^2+1602465/2*n^3-10347/4*n^4)*p3*p2^2*p1+2007040*(11407062652-\
1664140139/2*n+82389719/4*n^2-411087/2*n^3+2789/4*n^4)*p3*p2*p1^3+4515840*(-\
59749345334+18598854815/4*n-976481915/8*n^2+5339135/4*n^3-47965/8*n^4+15/2*n^5)
*p4*p2*p1^2+6021120*(331687022940-52823345365/2*n+8013905695/12*n^2-13234255/2*
n^3+321725/12*n^4-25*n^5)*p4*p3*p1+7225344*(294664936636-49291276111/2*n+
2732325817/4*n^2-31884055/4*n^3+165879/4*n^4-315/4*n^5)*p5*p2*p1+1720320*(-\
1483435560+216334958/3*n-1037393*n^2+15358/3*n^3-7*n^4)*p7*p1^3+3010560*(-\
40758647160+2933039165/2*n-47464515/4*n^2+68425/2*n^3-105/4*n^4)*p6*p4+1505280*
(5763643872-406381707/2*n+8173521/4*n^2-15003/2*n^3+27/4*n^4)*p6*p2^2+501760*(
300739584-27441211/2*n+739689/4*n^2-1643/2*n^3+3/4*n^4)*p6*p1^4+602112/5*(-\
58513280+2460500*n-29575*n^2+105*n^3)*p5*p1^5+1128960*(6142747800-179454975*n+
1265775*n^2-2100*n^3)*p4^2*p2+1128960*(206718780-6418515*n+49545*n^2-90*n^3)*p4
*p2^2*p1^2+376320*(-47867680+1645720*n-14190*n^2+30*n^3)*p4*p2*p1^4+1003520*(
200574640-5633548*n+33780*n^2)*p3^2*p2*p1^2+12544*(-9870+60*n)*p4*p2*p1^6+
4014080*(56901240-896940*n+2970*n^2)*p9*p2*p1+3010560*(54223680-591480*n+1800*n
^2)*p8*p3*p1+2257920*(-11520756+174420*n-540*n^2)*p8*p2*p1^2+2580480*(55682480-\
413580*n+980*n^2)*p7*p4*p1+1720320*(37316048-323064*n+840*n^2)*p7*p3*p2+1720320
*(-10753616+106568*n-280*n^2)*p7*p3*p1^2+1290240*(-8120232+95508*n-252*n^2)*p7*
p2^2*p1+860160*(2246216-31500*n+84*n^2)*p7*p2*p1^3+2408448*(57008364-314694*n+
378*n^2)*p6*p5*p1+1505280*(36557220-208215*n+315*n^2)*p6*p4*p2+1505280*(-\
10804680+68985*n-105*n^2)*p6*p4*p1^2+4515840*(7126258920-365428872*n+5444781*n^
2-28230*n^3+45*n^4)*p8*p1^2+3440640*(-36882117888+4218760364/3*n-13708562*n^2+
157612/3*n^3-70*n^4)*p7*p3+2007040/3*(2030472-16878*n+30*n^2)*p6*p3*p1^3+752640
*(1505628-15147*n+27*n^2)*p6*p2^2*p1^2+250880*(-412152+5013*n-9*n^2)*p6*p2*p1^4
+1204224*(29313760-98700*n)*p5*p4*p3+602112*(1989400-9870*n)*p5*p4*p1^3-\
7586611200*p7*p4*p2*p1+2408448*(-57871474836+30978269143/6*n-642523791/4*n^2+
25913839/12*n^3-50169/4*n^4+105/4*n^5)*p5*p1^3-16257024000*p8*p3*p2*p1+1128960*
(-1475341000+50213950*n-381150*n^2+700*n^3)*p4^2*p1^2-60211200*p6*p3*p2*p1^3+
1003520*(5906478200-155450260*n+1001300*n^2-1000*n^3)*p4*p3^2+270950400*p6*p3*
p2^2*p1+474163200*p6*p4*p2*p1^2+376320*(-863631720+24260580*n-171450*n^2+270*n^
3)*p4*p2^3+25088*(10711820-403915*n+4025*n^2-10*n^3)*p4*p1^6-2107392000*p6*p4*
p3*p1+4014080/9*(-1076485200+28439280*n-167400*n^2)*p3^3*p1-2731180032*p6*p5*p2
*p1+501760*(-827201760+21143544*n-120240*n^2)*p3^2*p2^2+501760/3*(-47011920+
1463256*n-9360*n^2)*p3^2*p1^4+14336/3*(-1793652+57456*n-378*n^2)*p3*p1^7+94080*
(-27609120+700596*n-3240*n^2)*p2^4*p1^2+62720*(6246072-164781*n+729*n^2)*p2^3*
p1^4+12544*(-1353912+36348*n-144*n^2)*p2^2*p1^6+802816*(-5799920+21000*n)*p5*p3
^2*p1+896*(278488-7297*n+21*n^2)*p2*p1^8+602112*(-4430664+18900*n)*p5*p3*p2^2+
200704*(-356216+2100*n)*p5*p3*p1^4+301056*(929124-5670*n)*p5*p2^3*p1+301056*(-\
255276+1890*n)*p5*p2^2*p1^3+301056/5*(68460-630*n)*p5*p2*p1^5+8028160*(-\
33666466680+1811411085*n-54753435/2*n^2+144870*n^3-495/2*n^4)*p9*p1+752640*(-\
5507600+14000*n)*p4^2*p3*p1+564480*(1220100-4200*n)*p4^2*p2*p1^2+4515840*(-\
32455165512+1423179783*n-17909838*n^2+85770*n^3-135*n^4)*p8*p2+501760*(-3582600
+6000*n)*p4*p3^2*p2+501760*(1026200-2000*n)*p4*p3^2*p1^2+50176*(57260-200*n)*p4
*p3*p1^5+188160*(-145530+540*n)*p4*p2^3*p1^2+94080*(38430-180*n)*p4*p2^2*p1^4+
18063360*(21107083479696-174721813543213/30*n+28659453731929/48*n^2-30316579150
*n^3+54553257241/64*n^4-1113359417/80*n^5+12616309/96*n^6-31433/48*n^7+77/64*n^
8)*p2*p1^2+4014080*(-936872725908+411492491425/3*n-90098407213/12*n^2+
4776623413/24*n^3-65515115/24*n^4+148513/8*n^5-1163/24*n^6)*p3*p1^3+4515840*(-\
980120390368+132652513266*n-53092573645/8*n^2+2555746223/16*n^3-31765003/16*n^4
+193713/16*n^5-411/16*n^6)*p2^2*p1^2+1505280*(190597946728-51371950641/2*n+
31713791101/24*n^2-535688459/16*n^3+21149989/48*n^4-44477/16*n^5+91/16*n^6)*p2*
p1^4+24084480*(-70827638861952+47675694518669/2*n-206866462929505/72*n^2+
5916206196559/36*n^3-1432039645117/288*n^4+754057027/9*n^5-114968597/144*n^6+
147955/36*n^7-839/96*n^8)*p3*p1+376320*(-2059985780+578027849/4*n-27657585/8*n^
2+129351/4*n^3-687/8*n^4)*p2^2*p1^4+50176*(416465176-120052627/4*n+5932699/8*n^
2-28125/4*n^3+133/8*n^4)*p2*p1^6+14450688*(-15839001984960+17920362327475/6*n-\
601132626800/3*n^2+148631431969/24*n^3-286935215/3*n^4+9076529/12*n^5-8834/3*n^
6+35/8*n^7)*p5*p1+9031680*(-20914147736944+21454916056957/6*n-1662781022891/8*n
^2+256463452885/48*n^3-1093583695/16*n^4+7334765/16*n^5-22875/16*n^6+5/4*n^7)*
p4*p2+9031680*(4073557858352-2004755738594/3*n+962294110571/24*n^2-54813620005/
48*n^3+800478965/48*n^4-5965975/48*n^5+6775/16*n^6-5/12*n^7)*p4*p1^2+2007040*(-\
63165713728+14182153571/3*n-696167891/6*n^2+3367489/3*n^3-23365/6*n^4)*p3^2*p1^
2+200704*(-2306498500+1058010115/6*n-56210911/12*n^2+304415/6*n^3-2189/12*n^4)*
p3*p1^5+752640*(10070428140-2692109511/4*n+121861143/8*n^2-550161/4*n^3+3033/8*
n^4)*p2^3*p1^2+2257920*(298384429182-85009707405/4*n+3987986025/8*n^2-19779885/
4*n^3+162975/8*n^4-45/2*n^5)*p4*p2^2+752640*(11947197618-3942175985/4*n+
683574815/24*n^2-1405025/4*n^3+42025/24*n^4-5/2*n^5)*p4*p1^4+2007040*(
314223315904-21295148827*n+927923263/2*n^2-4159389*n^3+27265/2*n^4)*p3^2*p2+
10321920*(-1174811984016+373928684777/3*n-26518314775/6*n^2+392328643/6*n^3-\
1299599/3*n^4+7567/6*n^5-7/6*n^6)*p7*p1+6021120*(-1387632954444+251088065029/2*
n-7293434121/2*n^2+355820903/8*n^3-2023401/8*n^4+4917/8*n^5-3/8*n^6)*p6*p2+
6021120*(266263454424-51582422485/2*n+857767697*n^2-97830769/8*n^3+620311/8*n^4
-1627/8*n^5+1/8*n^6)*p6*p1^2+1445068800*p7*p3*p2*p1^2+4816896*(-1642445592480+
423959084675/3*n-7395142671/2*n^2+225453935/6*n^3-339549/2*n^4+525/2*n^5)*p5*p3
+50176/3*(109404-1659*n+3*n^2)*p6*p1^6+3612672*(74863360-1446445*n+5005*n^2)*
p10*p1^2+8028160/3*(-264670560+3045240*n-9900*n^2)*p9*p3+4014080/3*(-15451920+
295020*n-990*n^2)*p9*p1^3+2257920*(-276107370+2239200*n-6300*n^2)*p8*p4+
72253440/11*(-357188832+6867432*n-24024*n^2)*p11*p1+3612672*(-274334060+4399395
*n-15015*n^2)*p10*p2+2064384*(-288324960+1749888*n-3528*n^2)*p7*p5+86016*(-\
602840+10388*n-28*n^2)*p7*p1^5+2007040/3*(31391640-171660*n+300*n^2)*p6*p3^2+
250880*(-5376456+45765*n-81*n^2)*p6*p2^3-8064*p2^2*p1^8+282240*(-4233600+12600*
n)*p4^2*p2^2+94080*(-347900+1400*n)*p4^2*p1^4+47040*(538650-1620*n)*p4*p2^4+448
*(2450-20*n)*p4*p1^8+3612672/5*(36303120-158760*n)*p5^2*p2+3612672/5*(-10830960
+52920*n)*p5^2*p1^2+14336/5*(-17780+210*n)*p5*p1^7+1128960*(41386248-529740*n+
1620*n^2)*p8*p2^2+376320*(3112572-57420*n+180*n^2)*p8*p1^4-17882726400*p9*p2^2*
p1+3973939200*p9*p2*p1^3-26492928000*p9*p3*p1^2+139087872000*p9*p4*p1+
79478784000*p9*p3*p2+241085644800*p10*p3*p1-54244270080*p10*p2*p1^2+
473404538880*p11*p2*p1-68584320*p2^6-112394240000*p3^4-80281600*p7*p3*p1^4+
325140480*p7*p2^3*p1-108380160*p7*p2^2*p1^3+7225344*p7*p2*p1^5+842956800*p7*p4*
p1^3-3211264000*p7*p3^2*p1-7283146752*p7*p5*p1^2+16859136000*p7*p4*p3+
1828915200*p8*p2^2*p1^2-203212800*p8*p2*p1^4+62220533760*p7*p6*p1+21849440256*
p7*p5*p2-14224896000*p8*p4*p1^2+303464448*p6*p5*p1^3+1806336000*p8*p3*p1^3+
42674688000*p8*p4*p2+81935400960*p8*p5*p1-20321280*p6*p2^3*p1^2+2007040*p6*p3*
p1^5-26342400*p6*p4*p1^4+139689984000*p3^3*p2*p1-29623910400*p3^2*p2^2*p1^2+
2589081600*p3^2*p2*p1^4-4755179520*p3*p2^4*p1+1571512320*p3*p2^3*p1^3-111992832
*p3*p2^2*p1^5+2408448*p3*p2*p1^7-602112000*p6*p3^2*p2+200704000*p6*p3^2*p1^2+
3386880*p6*p2^2*p1^4-150528*p6*p2*p1^6+6069288960*p6*p5*p3-711244800*p6*p4*p2^2
-2167603200*p7*p3*p2^2+3010560*(-1117248580+32718940*n-228570*n^2+300*n^3)*p4*
p3*p2*p1+1204224*(1265208-6300*n)*p5*p3*p2*p1^2+1806336*(-6814920+29610*n)*p5*
p4*p2*p1+501760*(-209580+600*n)*p4*p3*p2*p1^3+752640*(754740-1800*n)*p4*p3*p2^2
*p1+2007040*(-7103616+50994*n-90*n^2)*p6*p3*p2*p1-856188951286740960*n^6+
13809891187987286336*n^5+29688385328056896*n^7-597435136113760*n^8+
23104482508800*p14+7225344*(157484166840-53176198075/6*n+534749215/4*n^2-\
4259255/6*n^3+5005/4*n^4)*p10-141699317760*p7^2+7225344/5*(-42189987840+
1494440640*n-11232900*n^2+26460*n^3)*p5^2+18816*(117764280-2843505*n+13365*n^2)
*p2^5+896/45*(-53520+1260*n)*p1^10+2257920*(-1738737214060+1778604338875/12*n-\
30229197425/8*n^2+433087025/12*n^3-1181775/8*n^4+175*n^5)*p4^2+1792*(-82990816+
72063791/12*n-3550271/24*n^2+16009/12*n^3-49/24*n^4)*p1^8+12042240*(
54923883544530-49212705701555/4*n+45581546108305/48*n^2-516140916879/16*n^3+
100189075051/192*n^4-17101735/4*n^5+1722119/96*n^6-537/16*n^7+1/64*n^8)*p6+
18063360*(182388402206010-311557521817885/4*n+419411725854437/36*n^2-\
38236568927225/48*n^3+245899627694/9*n^4-15734383901/32*n^5+699074495/144*n^6-\
425215/16*n^7+1125/16*n^8-5/96*n^9)*p4+3010560*(-4779703658016+11882296351067/
10*n-16517563278161/144*n^2+411794239475/72*n^3-94355696567/576*n^4+2012805071/
720*n^5-8012665/288*n^6+20671/144*n^7-49/192*n^8)*p1^4+9031680*(4981419909180-\
2354787998827/4*n+178383282267/8*n^2-1346648735/4*n^3+18169737/8*n^4-13875/2*n^
5+15/2*n^6)*p8+188160*(-48564247896+12138469245/4*n-513864189/8*n^2+2222235/4*n
^3-12339/8*n^4)*p2^4+4014080*(-23140244106672+11714818775677/3*n-661679597992/3
*n^2+64399691381/12*n^3-756224695/12*n^4+1518013/4*n^5-11305/12*n^6)*p3^2+
1505280*(5133375411528-1383396564759/2*n+262209605211/8*n^2-11690888283/16*n^3+
135738567/16*n^4-791613/16*n^5+1683/16*n^6)*p2^3+1003520*(-293687856+1616076*n-\
2772*n^2)*p6^2+100352*(-37472707440+14995660585/3*n-6231805115/24*n^2+323313893
/48*n^3-4364185/48*n^4+9177/16*n^5-49/48*n^6)*p1^6+8345272320*p6^2*p2-\
2781757440*p6^2*p1^2+2765952000*p6*p4^2-14336*p3*p1^9+91445760*p2^5*p1^2-\
15240960*p2^4*p1^4+677376*p2^3*p1^6+1792*p6*p1^8-114688*p7*p1^7-44154880*p3^2*
p1^6+15240960*p6*p2^4-12845056000*p3^3*p1^3+36849254400*p3^2*p2^3+
21827444593472/3*n^9-163042482400/3*n^10-384160*n^12+227971520*n^11+188160*(
27525750-73500*n)*p4^3+36126720*(-57434388541200+1161592069507067/30*n-\
1636040826705161/180*n^2+1459628743201249/1440*n^3-8850918948349/144*n^4+
12598141742341/5760*n^5-91704239831/1920*n^6+1875048437/2880*n^7-3116387/576*n^
8+9443/384*n^9-49/1152*n^10)*p1^2+4515840*p8*p1^6-1828915200*p8*p2^3+
18063360000*p8*p3^2-132464640*p9*p1^5-308477030400*p8*p6-400573071360*p9*p5+
3013570560*p10*p1^4+81366405120*p10*p2^2-1052010086400*p11*p3-52600504320*p11*
p1^3-632849817600*p10*p4-5601086668800*p13*p1-2011969290240*p12*p2+670656430080
*p12*p1^2+6021120*(1687746060-31855824*n+111384*n^2)*p12+36126720*(
115343462856600-1601057417572871/15*n+5938742697322949/180*n^2-22863760557089/5
*n^3+92309125683521/288*n^4-3873832979857/320*n^5+743458533221/2880*n^6-\
523244317/160*n^7+402001/16*n^8-20627/192*n^9+35/192*n^10)*p2+9031680*(-\
87561324205236+423100887555887/15*n-50653726830371/16*n^2+981531077659/6*n^3-\
280222376517/64*n^4+5273718691/80*n^5-18523831/32*n^6+43905/16*n^7-321/64*n^8)*
p2^2
[6, 6, 5]
6480*p4*p2^2*p1^2-58320*p4*p2^3+10444567680000*n+36*(108903080-4808550*n+55620*
n^2-230*n^3)*p5*p2*p1+336960*p4*p1^4+30240*p6*p4*p2+40320*p6*p5*p1+25920*p7*p4*
p1+9115669818360*n^3+180*p5^2*p4+45/2*(-5977728+136128*n-576*n^2)*p4*p2*p1^2-\
12960*p2^2*p1^4+30*(130953744-5696184*n+62952*n^2-288*n^3)*p4*p3*p1-2160*p5*p4*
p2*p1+60*(4333290336-415170498*n+11912148*n^2-123114*n^3+552*n^4)*p3*p2*p1+360/
7*(-727996080+47946948*n-843192*n^2+3444*n^3)*p7*p1+30*(-1328556180+91985082*n-\
1746360*n^2+6888*n^3)*p6*p2+30*(58150092-2146704*n+12096*n^2)*p6*p1^2+24*(-\
1686505350+242307455/2*n-2663620*n^2+43525/2*n^3-50*n^4)*p5*p3+12*(-3106320+
54120*n-360*n^2)*p5*p1^3+45/4*(186004656-8267040*n+77760*n^2)*p4*p2^2+10*(
213170940-10201230*n+148464*n^2-864*n^3)*p3^2*p2+10*(-5794740+97056*n-576*n^2)*
p3^2*p1^2+15/4*(359424-5184*n)*p2^3*p1^2+15*(-9401760+234288*n-1728*n^2)*p3*p2^
2*p1+10*(176688-1728*n)*p3*p2*p1^3+18*(-52580+330*n)*p10*p2+90*(31530099712-\
5981954204*n+365115616*n^2-8794556*n^3+83272*n^4-336*n^5)*p2*p1^2+72*(-\
20056333500+8192177260/3*n-355147625/3*n^2+5857325/3*n^3-34675/3*n^4+25*n^5)*p5
*p1+45*(-32858081400+4579946944*n-204840840*n^2+3434924*n^3-16128*n^4)*p4*p2+45
*(2758791400-253514144*n+6607072*n^2-52032*n^3+144*n^4)*p4*p1^2+20*(-255555072+
14117112*n-171576*n^2+864*n^3)*p3*p1^3+45/2*(-367887408+22510896*n-363456*n^2+
1968*n^3)*p2^2*p1^2+15/2*(15006528-467712*n+3456*n^2)*p2*p1^4+120*(-\
151344723216+40915405750*n-3700562301*n^2+142874463*n^3-2447655*n^4+17963*n^5-\
60*n^6)*p3*p1+72/7*(-158340+2520*n)*p7*p5+40/3*(-78030+1080*n)*p9*p3+45/4*(-\
126000+1440*n)*p8*p4+45/2*(316080-1440*n)*p8*p1^2+120/7*(-22273020+744408*n-\
6048*n^2)*p7*p3+18/5*(13100-150*n)*p5^2*p2-360*p5^2*p1^2-155520*p1^6+15*(-\
26326860+845712*n-4032*n^2)*p6*p4+15/2*(1201536-12096*n)*p6*p2^2+180/7*(716688-\
9072*n)*p7*p2*p1+20*(824544-8064*n)*p6*p3*p1+18*(1223200-24040*n+120*n^2)*p5*p4
*p1+12*(1864020-47730*n+360*n^2)*p5*p3*p2+9*(-54240+720*n)*p5*p2^2*p1+45/8*(
2125440-41760*n)*p4^2*p2+6*(13740-240*n)*p5*p4*p3+5*(2260980-62496*n+576*n^2)*
p4*p3^2-156600*p4^2*p1^2+40*(-8131500+205380*n-540*n^2)*p9*p1+45/2*(-16264080+
481320*n-2160*n^2)*p8*p2+13500*p4^3+12*(-20940+240*n)*p5*p3*p1^2-564480*p6^2-\
302400*p6*p2*p1^2-1980*p10*p4-51840*p7*p1^3+15*(-41616+576*n)*p4*p3*p2*p1+4320*
p5*p2*p1^3-3600*p9*p5+3960*p10*p1^2+21600*p9*p2*p1-1945953937080*n^4-\
10539365760*n^6+199888759800*n^5+286397640*n^7-3690360*n^8+16200*n^9+43200*p14-\
17803915678800*n^2+36*(128128000-37375525/6*n+73150*n^2-275/6*n^3)*p10+45*(
6371164800-632274150*n+19503420*n^2-201930*n^3+300*n^4)*p8+45/4*(-1798115600+
127783640*n-2579040*n^2+12520*n^3)*p4^2+15/16*(-11819520+186624*n)*p2^4+60*(
104788123440-40095101571/2*n+1288650384*n^2-69014085/2*n^3+364014*n^4-840*n^5)*
p6+20*(-37049913360+10420272657/2*n-239535822*n^2+9004539/2*n^3-36636*n^4+120*n
^5)*p3^2+15/2*(5978103984-579837096*n+16244064*n^2-123120*n^3)*p2^3+30*(873600-\
16380*n)*p12+36/5*(-28738500+6533575/6*n-11650*n^2+125/6*n^3)*p5^2+45*(-\
202461550144+55323490646*n-5065845168*n^2+197406730*n^3-3268872*n^4+17064*n^5)*
p2^2+90*(483764590400-547208457415/3*n+23483422566*n^2-4015364261/3*n^3+
35846078*n^4-418528*n^5+1416*n^6)*p4+15*(-3514100544+441150720*n-15920448*n^2+
181152*n^3-864*n^4)*p1^4+180*(392967751680-334479549908*n+92336801704*n^2-\
11113503286*n^3+650533328*n^4-18951384*n^5+255000*n^6-1134*n^7)*p2+180*(-\
173407610880+99320652788*n-55764517982/3*n^2+4529066216/3*n^3-173884270/3*n^4+
3134002/3*n^5-8300*n^6+30*n^7)*p1^2-786240*p11*p1
[6, 6, 4, 2]
41472*p7*p3*p1^2-175264273760256*n+31104*p8*p2*p1^2+72576*p6*p3*p2*p1+15552*p5*
p3*p2^2+69120*p5*p4*p2*p1+21600*p4^2*p3*p1-139968*p8*p2^2-1520640*p9*p2*p1-\
604800*p6*p4*p2-746496*p7*p3*p2-1451520*p7*p4*p1-108000*p4^3+1866240*p4*p2^3+48
/5*(-204300+3000*n)*p5*p4*p3+32/5*(18450-360*n)*p5*p3^2*p1+96/5*(-148890+2100*n
)*p6*p5*p1+24*(-123228+1944*n)*p8*p3*p1+36*(160050192-5983200*n+48960*n^2)*p4*
p2*p1^2+24*(212206428-7630704*n+63936*n^2)*p3*p2^2*p1+16*(-10627848+339552*n-\
3024*n^2)*p3*p2*p1^3+96*(-63237932586+6892413984*n-241179072*n^2+3256800*n^3-\
15072*n^4)*p3*p2*p1+96/5*(-32367420+686760*n-3060*n^2)*p5*p3*p2+96/5*(1860660-\
52200*n+420*n^2)*p5*p3*p1^2+72/5*(1312680-13680*n)*p5*p2^2*p1+48/5*(-51480+720*
n)*p5*p2*p1^3+24*(1039248-14112*n)*p6*p2*p1^2+144/5*(-28963740+760600*n-4800*n^
2)*p5*p4*p1+288/7*(-18050256+362880*n)*p7*p2*p1+32*(-29748663+961380*n-8820*n^2
)*p6*p3*p1-3456*p5*p3*p2*p1^2+8*(-114480+1728*n)*p3^2*p2*p1^2+288/5*(-\
1946049150+104170780*n-1471740*n^2+4120*n^3)*p5*p2*p1+48*(-2515106922+149069316
*n-2760000*n^2+18000*n^3)*p4*p3*p1+576/11*(927498-13728*n)*p11*p1+44928*p11*p3+
60480*p13*p1+144/5*(-35530+220*n)*p10*p1^2+64/3*(1884465-29700*n)*p9*p3+36288*
p8*p6+18*(1747440-15840*n)*p8*p4+576/35*(2201640-25200*n)*p7*p5+144/5*(827530-\
1320*n)*p10*p2+63360*p9*p5+144/25*(8950-100*n)*p5^2*p1^2+144/25*(-127750+600*n)
*p5^2*p2+16/3*(-200340+3024*n)*p6*p3^2+12*(-462733056+27245376*n-497088*n^2+
3456*n^3)*p2*p1^4+192*(1812460083408-2581665153334/5*n+251221673397/5*n^2-\
2156589696*n^3+43091271*n^4-1875566/5*n^5+5388/5*n^6)*p3*p1+144*(-413302965568+
434621416824/5*n-6221427040*n^2+193493584*n^3-2690984*n^4+70176/5*n^5)*p2*p1^2+
576/5*(271223171340-121607668238/3*n+6053550895/3*n^2-123120340/3*n^3+935585/3*
n^4-314*n^5)*p5*p1+72*(411966505924-59291213944*n+2709164064*n^2-44922880*n^3+
188640*n^4)*p4*p2+72*(-44912718484+5108573680*n-192942096*n^2+2970240*n^3-16560
*n^4)*p4*p1^2+32*(5679481986-498765600*n+15064056*n^2-206352*n^3+1188*n^4)*p3*
p1^3+36*(6716777736-529442544*n+12476736*n^2-90624*n^3)*p2^2*p1^2+18*(-\
2573554608+111035520*n-829440*n^2)*p4*p2^2+6*(-5045760+69120*n)*p4*p1^4+16*(-\
3238910586+168821928*n-2448504*n^2+11232*n^3)*p3^2*p2+16*(219368538-11218572*n+
206136*n^2-1440*n^3)*p3^2*p1^2+6*(-10552896+207360*n)*p2^3*p1^2+3*(369792-6912*
n)*p2^2*p1^4+576/7*(11857275444-936318096*n+22681008*n^2-176736*n^3)*p7*p1+48*(
18009094026-1273783560*n+23742936*n^2-81312*n^3)*p6*p2+48*(-1341377562+80525340
*n-1484952*n^2+9072*n^3)*p6*p1^2+192/5*(23459959545-1769663390*n+39524465*n^2-\
276070*n^3+295*n^4)*p5*p3+96/5*(113068950-4843440*n+66900*n^2-360*n^3)*p5*p1^3+
9*(1063200-4800*n)*p4^2*p1^2+8*(-48822660+1432080*n-11520*n^2)*p4*p3^2+32/9*(
3776949-125064*n+1296*n^2)*p3^3*p1+4*(1496880-15552*n)*p3^2*p2^2+36*(238269816-\
6668496*n+16416*n^2)*p8*p2+36*(-13055256+357120*n-2304*n^2)*p8*p1^2+192/7*(
365879052-13385232*n+114912*n^2)*p7*p3+96/7*(541296-6048*n)*p7*p1^3+24*(
394080036-13080480*n+85680*n^2)*p6*p4+12*(-19252800+193536*n)*p6*p2^2+9*(-\
28706400+374400*n)*p4^2*p2+64*(178136145-6924060*n+65340*n^2)*p9*p1+288*p5^2*p3
*p1-4032*p6*p5*p3-3168*p10*p3*p1-5184*p8*p5*p1-779247408969216/5*n^3+
169053267746304/5*n^4-207360*p4*p3*p1^3-362880*p4*p2^2*p1^2-186624*p3*p2^3*p1+
10368*p3*p2^2*p1^3+1503261650174976/5*n^2+943606209024/5*n^6-17664466742784/5*n
^5+124416*p3*p1^5-1175040*p14+48*(-13737360+262080*n)*p12+8*(2250864-28224*n)*
p6^2+288/25*(415512300-42878500/3*n+105300*n^2-200/3*n^3)*p5^2+72*(-83829826080
+8624281632*n-272462952*n^2+2769168*n^3-1608*n^4)*p8+18*(24707645520-1821746720
*n+37857600*n^2-204800*n^3)*p4^2+32*(467564805648-68607481824*n+3295103226*n^2-\
63254388*n^3+459858*n^4-1032*n^5)*p3^2-1161216/5*n^9+3/2*(175924224-2985984*n)*
p2^4+24*(1861560-28800*n)*p4*p3*p2*p1+315933696/5*n^8-25594389504/5*n^7+288/5*(
-1845323480+277169860/3*n-1098900*n^2+440/3*n^3)*p10+72*(2362746802624-\
3319482128896/5*n+62359559328*n^2-2460901568*n^3+39737376*n^4-895104/5*n^5)*p2^
2+288*(1928639664000-5730560230088/5*n+679435018588/3*n^2-299427759416/15*n^3+
2613272684/3*n^4-289277056/15*n^5+206632*n^6-4368/5*n^7)*p1^2+4/5*(16640640-\
311040*n)*p1^6+144*(-5503886402560+6380120278256/3*n-281315351372*n^2+
49307833816/3*n^3-445169932*n^4+5038736*n^5-13776*n^6)*p4+288*(-4252610275200+
18396309512168/5*n-5185709467108/5*n^2+638439977248/5*n^3-7621299988*n^4+
1116259032/5*n^5-14507832/5*n^6+54432/5*n^7)*p2+24*(57631474368-9306436128*n+
520355568*n^2-13095744*n^3+160848*n^4-864*n^5)*p1^4+12*(-76679276760+7549511904
*n-206032896*n^2+1327104*n^3)*p2^3+96*(-1273046534760+1257086019252/5*n-\
16651337976*n^2+452925312*n^3-4618908*n^4+34608/5*n^5)*p6-1440*p5^2*p4+15840*
p10*p4
[6, 6, 3, 3]
14696640*p6*p2*p1^2-85536*p5*p2*p1^3-758160*p4*p2^2*p1^2-175497342004224*n+
777600*p7*p1^3+216*(-26823451680+2934227181*n-220908291/2*n^2+1991985*n^3-39405
/2*n^4+90*n^5)*p3*p2*p1+2332800*p1^6-791944038800208/5*n^3+1511732406230928/5*n
^2+11664*p2^4*p1^2+216/7*(-105168+1344*n)*p7*p3*p2+97200*p5*p4*p2*p1+3645000*p4
^2*p1^2+156603780*n^8-39156112152/5*n^7+1149826147092/5*n^6-3866941107756*n^5+
35184320764668*n^4+54*(779400-7200*n)*p4*p3*p2*p1-21384*p10*p1^2+117936*p12*p2-\
2449440*p6*p4*p2-653184*p6*p5*p1+324/5*(-8126000+135700*n-900*n^2)*p5*p4*p1+81/
4*(-143280+1440*n)*p8*p2^2+1296/35*(1230390-24500*n+140*n^2)*p7*p5+216/5*(-\
25312050+850095*n-11415*n^2+60*n^3)*p5*p3*p2+81/2*(833400-3600*n)*p8*p4+216/5*(
65970-360*n)*p5*p3*p1^2+162/5*(1401680-32560*n+240*n^2)*p5*p2^2*p1+324/5*(
1074150-17875*n+55*n^2)*p10*p2+108/5*(-55950+600*n)*p5*p4*p3+48*(643005-5940*n)
*p9*p3+324*(-169001589984+34334065078*n-2375317481*n^2+74845208*n^3-1250065*n^4
+11874*n^5-54*n^6)*p2*p1^2+162*(191615449164-29565410780*n+1586624105*n^2-\
38658030*n^3+444525*n^4-1980*n^5)*p4*p2+162*(-15707486460+1511662240*n-43942840
*n^2+486720*n^3-2160*n^4)*p4*p1^2+72*(1433255904-77168052*n+834948*n^2-3024*n^3
)*p3*p1^3+81*(2723274216-221575528*n+6279724*n^2-82200*n^3+468*n^4)*p2^2*p1^2+
27*(-100424160+3699072*n-31104*n^2)*p2*p1^4+54/5*(15180-240*n)*p5*p3*p2^2+432*(
782606184120-222278872959*n+21698388261*n^2-3858567933/4*n^3+88970919/4*n^4-\
1183299/4*n^5+9381/4*n^6-9*n^7)*p3*p1+1296/5*(112224124530-16260861110*n+
1583641415/2*n^2-69167315/4*n^3+800795/4*n^4-5165/4*n^5+15/4*n^6)*p5*p1+54432*
p6*p2^3+17820*p10*p4+324*p5^2*p2^2-1620*p5^2*p4+324/25*(-202350+4525*n-25*n^2)*
p5^2*p2+72*(-5742576+36288*n)*p6*p3*p1+1944*p5^2*p1^2+583200*p2^2*p1^4-10368*p7
*p5*p2+24300*p4^2*p2^2+36*(-1676808+9504*n)*p3*p2*p1^3+648/7*(-9137464+226856*n
-1512*n^2)*p7*p2*p1-1758348*n^9+36*(-1757499894+107651601*n-2418309*n^2+27864*n
^3-144*n^4)*p3^2*p2+36*(34363278-311472*n+864*n^2)*p3^2*p1^2+1296/7*(4485223400
-315339458*n+6855261*n^2-62594*n^3+231*n^4)*p7*p1+108*(9403016910-779461011*n+
21739977*n^2-254520*n^3+1134*n^4)*p6*p2+108*(-354018546+13146840*n-90720*n^2)*
p6*p1^2+432/5*(10734491505-3321088995/4*n+175544565/8*n^2-1188015/4*n^3+18315/8
*n^4-15/2*n^5)*p5*p3+216/5*(16906680-187740*n+1260*n^2)*p5*p1^3+81/2*(-\
1794721280+115773120*n-2318640*n^2+14400*n^3)*p4*p2^2+648/5*(-864623980+
49454335*n-1968525/2*n^2+9325*n^3-75/2*n^4)*p5*p2*p1+81/4*(-24763200+534000*n-\
1200*n^2)*p4^2*p2+108*(-838730760+36992700*n-442860*n^2+2160*n^3)*p4*p3*p1+18*(
-16253730+259920*n-1440*n^2)*p4*p3^2+27/4*(3204000-51840*n)*p4*p2^3+9*(2760372-\
69408*n+576*n^2)*p3^2*p2^2+81*(53101920-1684320*n+12960*n^2)*p4*p2*p1^2+144*(
55442970-1485990*n+8910*n^2)*p9*p1+81*(164041272-6875820*n+88020*n^2-360*n^3)*
p8*p2+81*(-1925640+2160*n)*p8*p1^2+432/7*(161529354-5566932*n+66948*n^2-336*n^3
)*p7*p3+54*(124764000-5766192*n+92112*n^2-576*n^3)*p3*p2^2*p1+54*(184452030-\
5622120*n+30240*n^2)*p6*p4+27*(-26412876+815472*n-6048*n^2)*p6*p2^2-5832000*p4*
p1^4+15240960*p6^2+27/2*(-8080416+271008*n-2592*n^2)*p2^3*p1^2+8748*n^10-\
2138400*p9*p2*p1-3888*p5*p2^3*p1-855360*p7*p4*p1+108864*p7*p2^2*p1+9*(-135216+
1728*n)*p3*p2^3*p1-121500*p4^3-104976*p2^5+41472*p7^2+216*(-570151862280+
463634068191/4*n-65808051645/8*n^2+1070862219/4*n^3-35400267/8*n^4+74025/2*n^5-\
126*n^6)*p6+648*(-1887445862400+8233341146922/5*n-473516965959*n^2+60932987637*
n^3-8018630511/2*n^4+727772523/5*n^5-3027330*n^6+34794*n^7-351/2*n^8)*p2+72*(
210408481656-126956779245/4*n+13175137251/8*n^2-160169103/4*n^3+4420269/8*n^4-\
4581*n^5+18*n^6)*p3^2+162*(-38325006720+4091173983*n-293624721/2*n^2+2318040*n^
3-33975/2*n^4+45*n^5)*p8+27*(-41768033112+5155844508*n-225840456*n^2+4351752*n^
3-32076*n^4)*p2^3+324*(-2443303830240+1922543753657/2*n-528386841179/4*n^2+
8399046455*n^3-1105619005/4*n^4+9888465/2*n^5-46410*n^6+180*n^7)*p4+162*(
1061332121760-310605150831*n+63906196713/2*n^2-1546384335*n^3+78648771/2*n^4-\
524466*n^5+2970*n^6)*p2^2+648*(844973875200-499582320034*n+98001774916*n^2-\
17176591123/2*n^3+379914399*n^4-18334017/2*n^5+259153/2*n^6-1092*n^7+9/2*n^8)*
p1^2+108*(-6683040+131586*n-546*n^2)*p12+648/25*(206832150-32886425/4*n+1067975
/8*n^2-4375/4*n^3+25/8*n^4)*p5^2+648/5*(-869909040+180652835/4*n-5785505/8*n^2+
17545/4*n^3-55/8*n^4)*p10+27/8*(269101728-14100480*n+186624*n^2)*p2^4+21228480*
p11*p1+71280*p9*p5-3564*p10*p2^2-1321920*p14+54*(18560954592-2378045088*n+
88719768*n^2-1108368*n^3+5400*n^4)*p1^4+81/2*(11366578600-852368700*n+19252650*
n^2-138900*n^3+150*n^4)*p4^2
[6, 6, 3, 2, 2]
3117671373680640*n-1140480*p9*p1^3-3297024*p7*p2^2*p1-2177280*p6*p4*p1^2-544320
*p6*p2^3-97200*p4^2*p2^2-259200*p4^2*p3*p1+972000*p4^3+96*(1254330-11880*n)*p9*
p2*p1+96/5*(-99720+1440*n)*p5*p3^2*p1+72/5*(-84420+720*n)*p5*p3*p2^2+144/5*(
942900-10800*n)*p5*p4*p3+288/5*(1745520-25305*n+105*n^2)*p6*p5*p1+36*(1182720-\
10080*n)*p6*p4*p2+72*(1209600-12960*n)*p8*p3*p1+54*(-97560+720*n)*p8*p2*p1^2+
432/7*(1181600-6720*n)*p7*p4*p1+288/7*(1139040-8064*n)*p7*p3*p2+288/7*(-68712+
672*n)*p7*p3*p1^2+72*(-2718734712+130174224*n-1883232*n^2+8064*n^3)*p3*p2^2*p1+
48*(195580044-7964514*n+115866*n^2-648*n^3)*p3*p2*p1^3+288*(500965595688-\
59696937813*n+2420873337*n^2-43225866*n^3+357630*n^4-1080*n^5)*p3*p2*p1+216/5*(
-31264840+666480*n-3360*n^2)*p5*p2^2*p1+144/5*(1834140-37950*n+270*n^2)*p5*p2*
p1^3+24*(1090800-8640*n)*p4*p3*p1^3+27*(2324640-28800*n)*p4*p2^2*p1^2+24*(
2232954-45072*n+288*n^2)*p3^2*p2*p1^2+12*(2555712-20736*n)*p3*p2^3*p1+12*(-\
155952+1728*n)*p3*p2^2*p1^3+864/5*(19273531970-1225327645*n+24839465*n^2-193990
*n^3+450*n^4)*p5*p2*p1+144*(22158867120-1365839940*n+26860440*n^2-218580*n^3+
720*n^4)*p4*p3*p1+108*(-2140944740+107850140*n-1708260*n^2+9360*n^3)*p4*p2*p1^2
+864/7*(257326888-7769748*n+58548*n^2)*p7*p2*p1+96*(295778196-8868951*n+83475*n
^2-252*n^3)*p6*p3*p1+72*(-23743230+583464*n-4032*n^2)*p6*p2*p1^2+432/5*(
316262200-8853700*n+74800*n^2-300*n^3)*p5*p4*p1+288/5*(345083430-16533975/2*n+
125475/2*n^2-150*n^3)*p5*p3*p2+288/5*(-24877800+1289715/2*n-13935/2*n^2+30*n^3)
*p5*p3*p1^2+1728/11*(-11418264+185757*n-429*n^2)*p11*p1+432/5*(-13114200+298595
/2*n-275/2*n^2)*p10*p2+432/5*(847990-18535/2*n+55/2*n^2)*p10*p1^2+64*(-13745160
+142560*n)*p9*p3+432/25*(1774050-49325/2*n+125/2*n^2)*p5^2*p2+432/25*(-146200+
4825/2*n-25/2*n^2)*p5^2*p1^2+16*(1019088-12096*n)*p6*p3^2+42336*p6^2*p2+54*(-\
14619600+108000*n)*p8*p4-1140480*p9*p5+27*(1207440-4320*n)*p8*p2^2-1088640*p8*
p6+1728/35*(-18718560+239330*n-770*n^2)*p7*p5+288/7*(-13952400+285348*n-1764*n^
2)*p7*p1^3+72*(-3225543300+104961360*n-832440*n^2+2520*n^3)*p6*p4+36*(310992276
-7453656*n+39816*n^2)*p6*p2^2+27*(338403200-6559800*n+31800*n^2)*p4^2*p2+27*(-\
22128000+346200*n-600*n^2)*p4^2*p1^2+192*(-1763817660+148943025/2*n-1803285/2*n
^2+2970*n^3)*p9*p1+108*(-2380616928+84253950*n-723330*n^2+900*n^3)*p8*p2+108*(
179892936-5874390*n+56970*n^2-180*n^3)*p8*p1^2+576/7*(-2883921264+97766382*n-\
849030*n^2+1848*n^3)*p7*p3-1296*p5^2*p2^2+12960*p5^2*p4+1728/5*(-1978948439100+
625449025685/2*n-33941725075/2*n^2+408746020*n^3-4680595*n^4+23860*n^5-30*n^6)*
p5*p1+216*(-2937309857976+445010271945*n-22343954325*n^2+466413990*n^3-4098690*
n^4+13320*n^5)*p4*p2+216*(365620683392-45478070225*n+1958977675*n^2-38035970*n^
3+358920*n^4-1440*n^5)*p4*p1^2+96*(-53993305800+5322488805*n-183444444*n^2+
2998926*n^3-26739*n^4+108*n^5)*p3*p1^3+108*(-66259776112+6400143806*n-213774366
*n^2+3135408*n^3-18288*n^4)*p2^2*p1^2+36*(6143885208-475908744*n+12719784*n^2-\
158976*n^3+864*n^4)*p2*p1^4+576*(-12023435491344+3565772998860*n-366926624430*n
^2+17227929390*n^3-407427804*n^4+5035350*n^5-31470*n^6+72*n^7)*p3*p1+432*(
2929131301440-661499554226*n+52694483398*n^2-1957619688*n^3+37609756*n^4-380772
*n^5+1692*n^6)*p2*p1^2+24*(344923020-6971040*n+43200*n^2)*p4*p3^2+9*(-29026080+
311040*n)*p4*p2^3+32/3*(-29711124+686880*n-5184*n^2)*p3^3*p1+12*(-28856412+
394848*n-1728*n^2)*p3^2*p2^2+1728/7*(-98668213392+8363455954*n-231785988*n^2+
2602964*n^3-10626*n^4)*p7*p1+144*(-145436666760+22547736939/2*n-532076223/2*n^2
+2237382*n^3-5796*n^4)*p6*p2+144*(13503592830-1826367375/2*n+40846491/2*n^2-\
194754*n^3+756*n^4)*p6*p1^2+576/5*(-177115996080+13493978100*n-1251512955/4*n^2
+5509545/2*n^3-43875/4*n^4+15*n^5)*p5*p3+288/5*(-1521261840+78534045*n-1362870*
n^2+11670*n^3-45*n^4)*p5*p1^3+54*(25156928360-1399503000*n+21924840*n^2-103680*
n^3)*p4*p2^2+18*(124620480-3781440*n+25920*n^2)*p4*p1^4+48*(27385639362-\
3017853441/2*n+49429017/2*n^2-156924*n^3+360*n^4)*p3^2*p2+48*(-2305121976+
234455085/2*n-4250421/2*n^2+19116*n^3-72*n^4)*p3^2*p1^2+24/5*(-6333120+34560*n)
*p3*p1^5+18*(253571688-10094112*n+104544*n^2)*p2^3*p1^2+9*(-15355584+478944*n-\
4320*n^2)*p2^2*p1^4-3456*p5^2*p3*p1+432*p5^2*p2*p1^2+48384*p6*p5*p3+96768*p7*p6
*p1+82944*p7*p5*p2-6912*p7*p5*p1^2+134784*p11*p2*p1+38016*p10*p3*p1-4752*p10*p2
*p1^2+155520*p8*p5*p1+103680*p7*p2*p1^3+145152*p6*p2^2*p1^2+51840*p5*p4*p1^3+
31726080*p14+62208*p5*p2^3*p1-5184*p5*p2^2*p1^3+32400*p4^2*p2*p1^2+
14160173505989184/5*n^3-628212024697248*n^4+7547904*p6*p1^4-41472*p5*p1^5-\
466560*p2^4*p1^2+15552*p2^3*p1^4-19291483559376/5*n^6+67955343041808*n^5+24*(-\
19262880+254898*n-882*n^2)*p6^2+864/5*(14647552920-745407795*n+41232235/4*n^2-\
69355/2*n^3+55/4*n^4)*p10+12/5*(-408049920+18113760*n-142560*n^2)*p1^6+216*(
614204791200-65096919288*n+2197774503*n^2-28485540*n^3+125775*n^4-90*n^5)*p8+
216*(-15547822435200+4542154334024*n-453610015319*n^2+20165906034*n^3-430721859
*n^4+4357116*n^5-17820*n^6)*p2^2+72*(-458897159232+82559358270*n-5329570530*n^2
+163192596*n^3-2672040*n^4+24804*n^5-108*n^6)*p1^4-142560*p10*p4+14256*p10*p2^2
+48*(-103068+1008*n)*p6*p3*p2*p1+36*(611186600328-69098268186*n+2549735802*n^2-\
37677312*n^3+202176*n^4)*p2^3+216/5*(-115600+1200*n)*p5*p4*p2*p1+288*(
8655086480040-1762890111591*n+489017147703/4*n^2-7327790631/2*n^3+197538831/4*n
^4-273168*n^5+441*n^6)*p6-12096*p6*p5*p2*p1+144*(116953200-2232321*n+4641*n^2)*
p12+144/5*(9750-120*n)*p5*p3*p2*p1^2+864/25*(-3416250600+117208800*n-4572025/4*
n^2+10825/2*n^3-25/4*n^4)*p5^2+54*(-187774614000+14138665400*n-314072900*n^2+
2403000*n^3-7500*n^4)*p4^2-539136*p11*p3+78624*p12*p1^2-1415232*p12*p2+72*(-\
29407920+554640*n-2880*n^2)*p4*p3*p2*p1+9/2*(-2971780704+122479776*n-1174176*n^
2)*p2^4-2903040*p13*p1-497664*p7^2-622080*p4*p2*p1^4+1049760*p2^5+435456*p2*p1^
6+592885871136/5*n^7-1962195840*n^8+16527888*n^9-58320*n^10+432*(35167927485600
-13937884292961*n+3815644741087/2*n^2-117635291920*n^3+7099652965/2*n^4-\
52717425*n^5+358500*n^6-900*n^7)*p4+864*(25944486624000-114144591354108/5*n+
6595446837858*n^2-841675148112*n^3+53350761261*n^4-8820230982/5*n^5+30551184*n^
6-263718*n^7+945*n^8)*p2+96*(-3278538899856+494742216942*n-98721067221/4*n^2+
1031501457/2*n^3-19237149/4*n^4+21258*n^5-36*n^6)*p3^2+864*(-12014440300800+
36789788504076/5*n-1517645106052*n^2+142619685645*n^3-6909610873*n^4+920420739/
5*n^5-2786761*n^6+23568*n^7-90*n^8)*p1^2-26928538639795584/5*n^2
[6, 6, 2, 2, 2, 2]
-58531130573856768*n+290304*p6*p2*p1^4+46080*p5^2*p3*p1-1016064*p6^2*p2-32256*
p6*p5*p1^3+31933440*p8*p6+338688*p6^2*p1^2+432*(-6238800+69120*n)*p4*p2^2*p1^2+
432*(-495607200+8893800*n-45000*n^2)*p4^2*p2+432*(88390000-2323800*n+15000*n^2)
*p4^2*p1^2+144*(789480-10080*n)*p4*p2*p1^4+4608/5*(85460560-4742155/2*n+35895/2
*n^2-30*n^3)*p5*p3*p1^2+3456/5*(57390180-1043190*n+4230*n^2)*p5*p2^2*p1+2304/5*
(-8641720+189240*n-900*n^2)*p5*p2*p1^3+13824/7*(-521802540+15779988*n-97524*n^2
)*p7*p2*p1+1536*(-631130136+18911487*n-135891*n^2+252*n^3)*p6*p3*p1+1152*(
71650425-1889748*n+10080*n^2)*p6*p2*p1^2+6912/5*(-700178300+21158150*n-161650*n
^2+300*n^3)*p5*p4*p1+4608/5*(-485240470+19601565/2*n-121005/2*n^2+90*n^3)*p5*p3
*p2+7188480*p11*p3-9434880*p12*p1^2+28304640*p12*p2+131604480*p13*p1+19768320*
p9*p5-6336*p10*p1^4+2304*(-40435721820+2657737490*n-51669150*n^2+331980*n^3-720
*n^4)*p4*p3*p1+13824/5*(-34653876925+2319899490*n-92418115/2*n^2+294745*n^3-915
/2*n^4)*p5*p2*p1+144*(37632600-349920*n)*p4*p2^3+512/3*(60295590-883440*n+4320*
n^2)*p3^3*p1+192/5*(-64980+720*n)*p3*p2*p1^5+384*(-6722199+94104*n-432*n^2)*p3^
2*p2*p1^2+192*(-4244724+27216*n)*p3*p2^3*p1+192*(37561077-394632*n+1296*n^2)*p3
^2*p2^2+64*(970893-20808*n+144*n^2)*p3^2*p1^4+3072*(3555200385-324388845/2*n+
3840705/2*n^2-2970*n^3)*p9*p1+1728*(3488671200-117639810*n+862110*n^2-540*n^3)*
p8*p2+1728*(-548911560+22264350*n-231210*n^2+180*n^3)*p8*p1^2+9216/7*(
4268123286-135233658*n+924210*n^2-1512*n^3)*p7*p3+4608/7*(77440524-2706732*n+
23436*n^2)*p7*p1^3+1152*(4877163585-155775900*n+1144920*n^2-2520*n^3)*p6*p4+576
*(-435782403+9494604*n-43848*n^2)*p6*p2^2+192*(-9551787+276276*n-2016*n^2)*p6*
p1^4+192*(632016-5184*n)*p3*p2^2*p1^3+384*(-9747480+225480*n-1440*n^2)*p4*p3*p1
^3+1152/25*(935500-20750*n+150*n^2)*p5*p1^5+27648/7*(167262316060-15191713236*n
+441067683*n^2-4682622*n^3+12159*n^4)*p7*p1+4608/5*(-4230870+61425*n-105*n^2)*
p6*p5*p1+576*(-1638000+15120*n)*p6*p4*p2+576*(440160-5040*n)*p6*p4*p1^2+2304*(
207703064898-31776770025/2*n+709059225/2*n^2-2566410*n^3+5040*n^4)*p6*p2+256*(-\
45486+504*n)*p6*p3*p1^3+2304*(-29936535804+4714916199/2*n-119867223/2*n^2+
554358*n^3-1134*n^4)*p6*p1^2+2304/5*(-880025+8100*n)*p5*p4*p3+1152/5*(-47000+
600*n)*p5*p4*p1^3+1536/5*(126300-1200*n)*p5*p3^2*p1+9216/5*(253804286805-\
76251919835/4*n+3286207825/8*n^2-11567965/4*n^3+67835/8*n^4-15/2*n^5)*p5*p3+
4608/5*(4886827815-332720475*n+7293165*n^2-57240*n^3+90*n^4)*p5*p1^3+864*(-\
36034171590+1930056300*n-27444600*n^2+116640*n^3)*p4*p2^2-414720*p4*p1^6+288*(-\
704138130+40453700*n-728880*n^2+4320*n^3)*p4*p1^4+4608*(-779636365046+
97975197640*n-8228674977/2*n^2+70925805*n^3-966693/2*n^4+1098*n^5)*p3*p2*p1+
1152*(4955169696-233245170*n+2884626*n^2-10152*n^3)*p3*p2^2*p1+768*(-693825324+
34302624*n-496620*n^2+2160*n^3)*p3*p2*p1^3+384*(-489585255+7311480*n-33840*n^2)
*p4*p3^2+1728*(5237390150-302648880*n+5126820*n^2-25200*n^3)*p4*p2*p1^2-\
20155392*p2^5+576*p5^2*p1^4+9216*(15909805494420-4880132384693*n+521785016463*n
^2-101692729215/4*n^3+2443611729/4*n^4-28574545/4*n^5+144915/4*n^6-63*n^7)*p3*
p1+6912*(-4222342018896+1022246878888*n-88469897203*n^2+3576782378*n^3-72586499
*n^4+714936*n^5-2772*n^6)*p2*p1^2+768*(-39096358194+4057647891/2*n-55588383/2*n
^2+139428*n^3-216*n^4)*p3^2*p2+768*(5742967272-662126733/2*n+11602533/2*n^2-\
36108*n^3+72*n^4)*p3^2*p1^2+384/5*(85706400-4085370*n+62850*n^2-360*n^3)*p3*p1^
5+288*(-588310884+23563872*n-215136*n^2)*p2^3*p1^2+144*(74836860-2926224*n+
28080*n^2)*p2^2*p1^4+96/5*(-7569000+246960*n-2160*n^2)*p2*p1^6+27648/5*(
2908716742485-2902462859095/6*n+82970863780/3*n^2-8232892435/12*n^3+89069915/12
*n^4-113815/4*n^5+105/4*n^6)*p5*p1+3456*(3992538793130-607298118705*n+
30002626600*n^2-590928100*n^3+4522665*n^4-12420*n^5)*p4*p2+3456*(-631655543930+
87587488065*n-4243685635*n^2+90142370*n^3-831060*n^4+2520*n^5)*p4*p1^2+1536*(
117415241790-13811111643*n+571569645*n^2-10392192*n^3+82134*n^4-216*n^5)*p3*p1^
3+1152/5*(83835-540*n)*p5*p3*p2^2+384/5*(4515-60*n)*p5*p3*p1^4+1728*(
125199443392-13398090954*n+483858810*n^2-7083696*n^3+36432*n^4)*p2^2*p1^2+1536*
(-2558655+17820*n)*p9*p2*p1+1152*(-2824560+19440*n)*p8*p3*p1+864*(307620-1080*n
)*p8*p2*p1^2+576*(-18040694516+1808883376*n-62998164*n^2+924696*n^3-5076*n^4)*
p2*p1^4+6912/7*(-3313800+30240*n)*p7*p4*p1+4608/7*(-1544508+9072*n)*p7*p3*p2+
4608/7*(373716-3024*n)*p7*p3*p1^2+27648/11*(27511770-484341*n+429*n^2)*p11*p1+
6912/5*(18742570-363825/2*n+165/2*n^2)*p10*p2-1306368*p2^3*p1^4+6912/5*(-\
3845380+121055/2*n-55/2*n^2)*p10*p1^2+1024*(19745055-136620*n)*p9*p3+512*(
466785-5940*n)*p9*p1^3+864*(22755300-171000*n)*p8*p4+15676416*p2^4*p1^2+
10450944*p6*p2^3+6912/25*(-2030350+51975/2*n-75/2*n^2)*p5^2*p2+6912/25*(550900-\
17225/2*n+25/2*n^2)*p5^2*p1^2+432*(-1540620+3240*n)*p8*p2^2+144*(-44460+360*n)*
p8*p1^4+27648/35*(28360290-350910*n+630*n^2)*p7*p5+20736*p2^2*p1^6-9072000*p4^3
+43200*p4^2*p1^4+1166400*p4^2*p2^2+256*(-1212120+10080*n)*p6*p3^2-1306368*p5*p2
^3*p1+248832*p5*p2^2*p1^3-6912*p5*p2*p1^5+3456000*p4^2*p3*p1-777600*p4^2*p2*p1^
2+91819008*p7*p2^2*p1-4561920*p8*p5*p1-506880*p10*p3*p1+114048*p10*p2*p1^2-\
3234816*p11*p2*p1+248832*p1^8+359424*p11*p1^3-171072*p10*p2^2-803727360*p14+768
*(196938-1512*n)*p6*p3*p2*p1+3456/5*(176700-1800*n)*p5*p4*p2*p1+290304*p6*p5*p2
*p1+2304/5*(-20145+180*n)*p5*p3*p2*p1^2+1152*(59759460-949320*n+4320*n^2)*p4*p3
*p2*p1-1492992*p7*p5*p2-6967296*p7*p6*p1-6096384*p6*p2^2*p1^2+1330560*p10*p4-\
10450944*p7*p2*p1^3+15552*p5^2*p2^2-120960*p5^2*p4+82944*p7*p1^5-645120*p6*p5*
p3+497664*p7*p5*p1^2-10368*p5^2*p2*p1^2+17915904*p7^2-53714201138887680*n^3+
11980855210496256*n^4+13824/25*(5139771000-2037699475/12*n+11409275/8*n^2-51275
/12*n^3+25/8*n^4)*p5^2+3456*(20007682159752-5912385247323*n+1182825632041/2*n^2
-25810912607*n^3+1041975219/2*n^4-4688388*n^5+16848*n^6)*p2^2+13824*(
14891292385200-9385720242322*n+6037299098458/3*n^2-1193495917229/6*n^3+
61460226787/6*n^4-1739938351/6*n^5+9062007/2*n^6-36828*n^7+126*n^8)*p1^2+2304*(
-179885160+3345615*n-4095*n^2)*p12-1296040754949120*n^5+72696874913280*n^6+
13824/5*(-21640008390+13032064045/12*n-111716165/8*n^2+362285/12*n^3-55/8*n^4)*
p10+3456*(-861448868280+91292226855*n-6002371365/2*n^2+35470470*n^3-227055/2*n^
4+45*n^5)*p8+864*(270275043500-20252802300*n+431125850*n^2-2881100*n^3+7350*n^4
)*p4^2+576*(-846761199120+94768694982*n-3349471230*n^2+44938800*n^3-213840*n^4)
*p2^3+6912*(-44308637160060+106551396132865/6*n-9784303216195/4*n^2+
449825021590/3*n^3-17542252805/4*n^4+119991925/2*n^5-342120*n^6+720*n^7)*p4+
1152*(802212498528-167289226050*n+12939112188*n^2-484012734*n^3+9411432*n^4-\
92574*n^5+378*n^6)*p1^4+384*(30354912-424242*n+882*n^2)*p6^2+13824*(-\
31318307521200+27836668949146*n-8122456040111*n^2+1041954000773*n^3-65646116482
*n^4+2109526989*n^5-34070757*n^6+257652*n^7-810*n^8)*p2+1536*(4456874403714-\
2698976295837/4*n+263564147991/8*n^2-2537607369/4*n^3+38041485/8*n^4-15981*n^5+
18*n^6)*p3^2+4608*(-11485373829930+9432985432731/4*n-1302749248689/8*n^2+
18914775117/4*n^3-465403491/8*n^4+510951/2*n^5-315*n^6)*p6+72*(4058178408-\
154291392*n+1306368*n^2)*p2^4+192/5*(2460300300-224353500*n+7135800*n^2-97560*n
^3+540*n^4)*p1^6+33011235072*n^8-2155910224896*n^7+101489943522640896*n^2+
746496*n^10-242113536*n^9
[6, 5, 5, 2]
-175273372800000*n+16200*p8*p2*p1^2+12000*p9*p1^3+75600*p6*p4*p1^2+32400*p5^2*
p1^2+12000*p5*p3^2*p1-72900*p8*p2^2-1188000*p10*p1^2+8100*p4^2*p2^2-84000*p6*p3
^2+324000*p3^2*p2^2+25*(-55404+432*n)*p8*p3*p1+25/4*(15024-192*n)*p4^2*p3*p1+10
*(-205680+2640*n)*p5*p4*p3+25/2*(-107184+1008*n)*p6*p4*p2+20*(-128940+840*n)*p6
*p5*p1+150/7*(-146832+2016*n)*p7*p4*p1+100/3*(-48780+540*n)*p9*p2*p1+60*(-\
1923560400+318759575/3*n-1761955*n^2+35065/3*n^3-25*n^4)*p5*p2*p1+600/11*(
909909-12012*n)*p11*p1+50*(-2336247036+128944082*n-2092556*n^2+13402*n^3-40*n^4
)*p4*p3*p1+75/2*(171340624-7035264*n+87072*n^2-368*n^3)*p4*p2*p1^2+25*(
195295080-7150620*n+90684*n^2-432*n^3)*p3*p2^2*p1+50/3*(-9901080+204408*n-864*n
^2)*p3*p2*p1^3+300/7*(-18336360+457128*n-3024*n^2)*p7*p2*p1+100/3*(-23202900+
515592*n-2016*n^2)*p6*p3*p1+25*(1051344-13104*n)*p6*p2*p1^2+30*(-31601340+
2834890/3*n-7420*n^2+50/3*n^3)*p5*p4*p1+20*(-26300400+582720*n-3960*n^2)*p5*p3*
p2+20*(1286760-13680*n)*p5*p3*p1^2+15*(1339160-28740*n+180*n^2)*p5*p2^2*p1+10*(
-48360+360*n)*p5*p2*p1^3+25/3*(-62352+576*n)*p4*p3*p1^3+69000*p9*p5+79200*p10*
p4+63000*p13*p1+18900*p8*p6-2100*p6*p4^2+100*(-60750597420+6539387383*n-\
224169625*n^2+3086729*n^3-20603*n^4+60*n^5)*p3*p2*p1+75/8*(-70656+1152*n)*p4*p2
^2*p1^2+200/9*(1207305-11340*n)*p9*p3+75/4*(2289600-36000*n)*p8*p4-3600*p5^2*p4
+120/7*(2250990-27720*n)*p7*p5+30*(850080-7920*n)*p10*p2+75/8*(2147168-49600*n+
192*n^2)*p4^2*p1^2+25/3*(-34936560+871200*n-5760*n^2)*p4*p3^2+25/8*(907200-\
15552*n)*p4*p2^3+100/27*(1014120-12960*n)*p3^3*p1+200/3*(172279395-6364185*n+
53100*n^2-75*n^3)*p9*p1+75/2*(236760408-7754688*n+51408*n^2)*p8*p2+75/2*(-\
13364568+293040*n-432*n^2)*p8*p1^2+200/7*(317426130-10306800*n+60480*n^2)*p7*p3
+100/7*(773136-6048*n)*p7*p1^3+25*(393582504-14349244*n+114744*n^2-140*n^3)*p6*
p4+25/2*(-19274640+350280*n-1512*n^2)*p6*p2^2+6*(-144600+1800*n)*p5^2*p2+600/7*
(11385098823-880805506*n+20383188*n^2-157346*n^3+420*n^4)*p7*p1+50*(17536250256
-1283658866*n+27117174*n^2-169750*n^3+210*n^4)*p6*p2+50*(-1310055936+73148964*n
-1065120*n^2+3276*n^3)*p6*p1^2+40*(22066131645-1624084640*n+34503170*n^2-225340
*n^3+550*n^4)*p5*p3+75/8*(-36798048+1075968*n-7488*n^2)*p4^2*p2+300*p5*p4^2*p1-\
2700*p8*p5*p1-6000*p9*p4*p1+100/3*(5445594396-438967770*n+10174128*n^2-69006*n^
3+120*n^4)*p3*p1^3+75/2*(6704302928-538010456*n+13687800*n^2-147776*n^3+672*n^4
)*p2^2*p1^2+25/2*(-502163136+28975680*n-445248*n^2+2208*n^3)*p2*p1^4+200*(
1738014884640-1975341613207/4*n+1146946776151/24*n^2-48739285861/24*n^3+
241640029/6*n^4-9045229/24*n^5+45685/24*n^6-25/6*n^7)*p3*p1+150*(-396619373568+
249322283408/3*n-17691620345/3*n^2+544179907/3*n^3-2610214*n^4+19319*n^5-205/3*
n^6)*p2*p1^2+20*(120643020-4474390*n+31320*n^2-50*n^3)*p5*p1^3+75/4*(-\
2612304384+133138800*n-1984320*n^2+10224*n^3)*p4*p2^2+25/4*(-9004608+222720*n-\
1152*n^2)*p4*p1^4+50/3*(-2883140280+138523320*n-1784880*n^2+8640*n^3)*p3^2*p2+
50/3*(177309000-6007680*n+38880*n^2)*p3^2*p1^2+5/3*(398160-2880*n)*p3*p1^5+25/4
*(-11191680+304992*n-2592*n^2)*p2^3*p1^2+25/8*(482688-6912*n)*p2^2*p1^4+120*(
260022300300-462962690455/12*n+136421846195/72*n^2-914337215/24*n^3+2900830/9*n
^4-31475/24*n^5+125/72*n^6)*p5*p1+75*(397401782136-173005746332/3*n+2727897816*
n^2-154887940/3*n^3+389504*n^4-1176*n^5)*p4*p2+75*(-43157533176+14421945292/3*n
-516368624/3*n^2+7244468/3*n^3-42808/3*n^4+40*n^5)*p4*p1^2-1200*p5*p4*p1^3-\
1224000*p14-1800*p4^2*p2*p1^2-142800*p6*p1^4+25/3*(2018016-14112*n)*p6^2+25/16*
(-399360+5760*n)*p4^3+5/6*(31476960-1195200*n+8640*n^2)*p1^6+150*(-\
5283841617600+6126172565900/3*n-2436030995054/9*n^2+47912060281/3*n^3-\
4042830875/9*n^4+17600644/3*n^5-288791/9*n^6+215/3*n^7)*p4+75*(2272356744960-\
1921780652638/3*n+60914822473*n^2-7530835337/3*n^3+47268192*n^4-398883*n^5+1479
*n^6)*p2^2+300*(-4082328198144+21197668531229/6*n-35890581919789/36*n^2+
492921658143/4*n^3-134259116009/18*n^4+915927309/4*n^5-125925991/36*n^6+151201/
6*n^7-165/2*n^8)*p2+300*(1850250415104-6592011704909/6*n+7801730285065/36*n^2-\
685105921121/36*n^3+7427651194/9*n^4-656894525/36*n^5+7505785/36*n^6-12005/9*n^
7+25/6*n^8)*p1^2+300723844761300*n^2+60*(-1772490720+89991220*n-1103520*n^2+
1100*n^3)*p10-5529250350*n^7+81051075*n^8+1875*n^10-576125*n^9-155972157240400*
n^3+33894317378025*n^4+1200*p5*p1^5+7200*p4*p2*p1^4-72000*p3^2*p2*p1^2-\
3560607589125*n^5+193424263725*n^6+50*(-13366080+262080*n)*p12+25/16*(182321280
-5209920*n+46656*n^2)*p2^4+12*(406101150-14763950*n+123000*n^2-250*n^3)*p5^2+25
/2*(-75558201360+7779710736*n-248895936*n^2+3047976*n^3-14904*n^4)*p2^3+100*(-\
1222227102096+482752577153/2*n-192980063185/12*n^2+1800599101/4*n^3-15574720/3*
n^4+76993/4*n^5-175/12*n^6)*p6+75/4*(23854739520-5416041568/3*n+41296016*n^2-\
978272/3*n^3+944*n^4)*p4^2-7200*p2*p1^6+75*(-80440039680+8295391776*n-266624916
*n^2+2943744*n^3-6924*n^4)*p8+25*(55224252288-8738231816*n+457840288*n^2-\
9644104*n^3+77984*n^4-240*n^5)*p1^4+100/3*(446533868520-64795134570*n+
3041375340*n^2-55785150*n^3+386700*n^4-1200*n^5)*p3^2+25*(1709160-42216*n+288*n
^2)*p4*p3*p2*p1+15*(9880-120*n)*p5*p4*p2*p1
[6, 5, 4, 3]
5760*p7*p3*p1^2+17280*p7*p2^2*p1+14400*p5*p3^2*p1+4320*p5^2*p1^2-\
175466373120000*n+55440*p6*p3*p2*p1+32400*p4^2*p2^2+21600*p4^2*p3*p1-720*p5*p3*
p2*p1^2-2160*p4*p3*p2^2*p1-324000*p4^3-3240*p8*p4*p2-842400*p8*p3*p1+6480*p8*p2
*p1^2+3*(26220-360*n)*p5*p3*p2^2+6*(-435570+6990*n-30*n^2)*p5*p4*p3+12*(-68670+
420*n)*p6*p5*p1+15/2*(-314496+2688*n)*p6*p4*p2+90/7*(-67872+448*n)*p7*p4*p1+60/
7*(-351960+5376*n)*p7*p3*p2+45/8*(-63360+768*n)*p4*p2^2*p1^2+9*(2495100-50000*n
+240*n^2)*p5*p2^2*p1+6*(-20840+240*n)*p5*p2*p1^3+12*(784440-9390*n+30*n^2)*p5*
p3*p1^2+20*(-28935018+576072*n-2772*n^2)*p6*p3*p1+15*(789936-10080*n)*p6*p2*p1^
2+18*(-31734570+677610*n-5570*n^2+20*n^3)*p5*p4*p1+12*(-79828340+2615660*n-\
27090*n^2+70*n^3)*p5*p3*p2+180/7*(-25881016+630112*n-3696*n^2)*p7*p2*p1+5/2*(
38160-576*n)*p4*p3^2*p2+65520*p12*p2+10/3*(-321300+3024*n)*p6*p3^2+20*(-64260+
360*n)*p9*p2*p1+60*(-95424367672+10451984667*n-765004679/2*n^2+6256408*n^3-\
107845/2*n^4+211*n^5)*p3*p2*p1+5*(-72720+576*n)*p3^2*p2*p1^2+5/2*(-157680+2592*
n)*p3*p2^3*p1+36*(-2868653260+158324920*n-8216170/3*n^2+19970*n^3-140/3*n^4)*p5
*p2*p1+30*(-3283990158+172419666*n-2759598*n^2+21948*n^3-84*n^4)*p4*p3*p1+45/2*
(172538320-6162416*n+71152*n^2-288*n^3)*p4*p2*p1^2+15*(356149908-15712392*n+
233400*n^2-1344*n^3)*p3*p2^2*p1+10*(-7032216+186168*n-1224*n^2)*p3*p2*p1^3+15*(
699307056-24869544*n+197736*n^2-672*n^3)*p6*p4+15/2*(-63087696+1722336*n-8064*n
^2)*p6*p2^2+47520*p10*p4+18/5*(-416200+6000*n)*p5^2*p2+10*(180062496-5773860*n+
52884*n^2-144*n^3)*p3^2*p1^2+360/7*(16582858460-1228318854*n+82095902/3*n^2-\
225652*n^3+2296/3*n^4)*p7*p1+30*(32053186200-2585795352*n+65559088*n^2-605304*n
^3+1568*n^4)*p6*p2+30*(-1387437744+63372288*n-738864*n^2+3024*n^3)*p6*p1^2+24*(
39233394870-12578599265/4*n+650767005/8*n^2-1811785/2*n^3+39355/8*n^4-25/4*n^5)
*p5*p3+20/9*(2494800-25920*n)*p3^3*p1+5/2*(7577640-219600*n+1728*n^2)*p3^2*p2^2
+45/8*(-77787648+2098880*n-12480*n^2)*p4^2*p2+45/8*(771840-7680*n)*p4^2*p1^2+5*
(-86891436+2606580*n-28404*n^2+144*n^3)*p4*p3^2+15/8*(5292864-93312*n)*p4*p2^3+
61200*p9*p5+40*(211965840-6614595*n+43965*n^2-90*n^3)*p9*p1+45/2*(510142368-\
20122656*n+199152*n^2-336*n^3)*p8*p2+45/2*(-8432640+103824*n-144*n^2)*p8*p1^2+
120/7*(637777168-24902122*n+282954*n^2-1232*n^3)*p7*p3+60/7*(157024-1344*n)*p7*
p1^3+45/4*(3677040-40464*n+144*n^2)*p8*p4+45/8*(-208800+1728*n)*p8*p2^2+72/7*(
4301500-63980*n+140*n^2)*p7*p5+360/11*(725868-3432*n)*p11*p1+18*(2812040-42240*
n)*p10*p2+40/3*(3460590-53055*n+135*n^2)*p9*p3+15/4*(-15276384+450432*n-3456*n^
2)*p2^3*p1^2+15/8*(234240-4608*n)*p2^2*p1^4+72*(408391475720-240783964045/4*n+
71020359455/24*n^2-741575275/12*n^3+4826215/8*n^4-17605/6*n^5+25/6*n^6)*p5*p1+
45*(679154630704-518932933988/5*n+16123086770/3*n^2-119304832*n^3+3478462/3*n^4
-20972/5*n^5)*p4*p2+45*(-58701878960+5997630416*n-192725592*n^2+2504880*n^3-\
16632*n^4+48*n^5)*p4*p1^2+20*(5758851240-388294254*n+7859670*n^2-69924*n^3+252*
n^4)*p3*p1^3+45/2*(9044263648-702661424*n+18221328*n^2-212832*n^3+1024*n^4)*p2^
2*p1^2+15/2*(-370157056+17259296*n-282336*n^2+1728*n^3)*p2*p1^4+120*(
2829054528032-3228710849299/4*n+632625671803/8*n^2-6957499307/2*n^3+606168971/8
*n^4-3511777/4*n^5+23181/4*n^6-35/2*n^7)*p3*p1+90*(-613063181824+626620785118/5
*n-25997041501/3*n^2+794236226/3*n^3-12109367/3*n^4+509756/15*n^5-132*n^6)*p2*
p1^2+12*(74295960-1890050*n+15710*n^2-60*n^3)*p5*p1^3+45/4*(-5445001968+
325821920*n-5803392*n^2+31488*n^3)*p4*p2^2+15/4*(-2208000+32256*n)*p4*p1^4+10*(
-6081344520+378145992*n-8078316*n^2+81732*n^3-336*n^4)*p3^2*p2-2880*p7*p4*p3-\
2880*p7*p5*p2-3600*p9*p3*p2-60480*p4*p3*p1^3+4320*p3*p2^2*p1^3-1468800*p14+
34560*p3*p1^5+123027192*n^8-6983662176*n^7+4320*n^10-1133856*n^9+9*(8280-80*n)*
p5*p4*p2*p1+22680*p8*p6-2160*p5^2*p4-2520*p6*p5*p3+15*(2865792-63528*n+408*n^2)
*p4*p3*p2*p1+56160*p11*p3-95040*p10*p1^2+23040*p7^2+360*p5*p4*p3*p2+
34948212397128*n^4-158011321888944*n^3+5*(3831408-28224*n)*p6^2+30*(-25247040+
525252*n-1092*n^2)*p12+15/16*(595451520-25484544*n+248832*n^2)*p2^4+15*(
70427242880-9685574144*n+423590832*n^2-7663616*n^3+70512*n^4-288*n^5)*p1^4+
302113681519680*n^2+15/2*(-138065832864+15956511792*n-618978672*n^2+9847296*n^3
-55296*n^4)*p2^3+180*(3048343603200-1805309718606*n+1774832335062/5*n^2-\
932981975527/30*n^3+2713593471/2*n^4-186556817/6*n^5+3929141/10*n^6-43184/15*n^
7+10*n^8)*p1^2+20*(758999976336-231826445667/2*n+24144341715/4*n^2-140026038*n^
3+6648597/4*n^4-22113/2*n^5+30*n^6)*p3^2+45/4*(41354484720-3236402992*n+
76940432*n^2-651200*n^3+2400*n^4)*p4^2+45*(-138107249280+14945593134*n-\
526950123*n^2+7325628*n^3-37149*n^4+30*n^5)*p8+36/5*(745569300-28676100*n+
319000*n^2-1300*n^3)*p5^2+36*(-3171968800+170670390*n-2512070*n^2+9680*n^3)*p10
+219208574880*n^6-3796545718224*n^5+60*(-2051188339200+2090903037027/5*n-\
58957838541/2*n^2+918323224*n^3-26552183/2*n^4+412363/5*n^5-140*n^6)*p6+1/2*(
7027200-138240*n)*p1^6+90*(-8795965767680+3458295693483*n-4732932651179/10*n^2+
443783842891/15*n^3-5546243869/6*n^4+43962178/3*n^5-1661399/15*n^6+1538/5*n^7)*
p4+45*(3801267733632-1103523934212*n+1664041401022/15*n^2-5063334208*n^3+
342233962/3*n^4-1251068*n^5+27216/5*n^6)*p2^2+180*(-6795912775680+
29616280472406/5*n-8491161700498/5*n^2+6497063073151/30*n^3-416734723483/30*n^4
+14214847439/30*n^5-260898017/30*n^6+409149/5*n^7-1572/5*n^8)*p2
[6, 5, 4, 2, 2]
-276480*p7*p2^2*p1+3117277716480000*n-259200*p4^2*p2^2+8640*p8*p1^4+23040*p7*p2
*p1^3+67200*p6*p3*p1^3+40/3*(3299544-72396*n+432*n^2)*p3^2*p2*p1^2+480/7*(
389277868-10963848*n+55776*n^2)*p7*p2*p1+160/3*(563537604-18331005*n+145530*n^2
-105*n^3)*p6*p3*p1+20/3*(-88344+864*n)*p4*p3^2*p2+20/3*(20808-288*n)*p4*p3^2*p1
^2+10*(-358560+4800*n)*p4^2*p3*p1+32/3*(-291960+3960*n)*p5*p3^2*p1+8*(-65520+
540*n)*p5*p3*p2^2+16*(3716940-49050*n+30*n^2)*p5*p4*p3+8*(10980-120*n)*p5*p4*p1
^3+32*(3273060-38220*n)*p6*p5*p1+20*(1694784-13104*n)*p6*p4*p2+20*(-209664+2016
*n)*p6*p4*p1^2-960*p5*p3*p1^4+30*(-75744+432*n)*p8*p2*p1^2+240/7*(3161984-38976
*n)*p7*p4*p1+160/7*(1219932-11088*n)*p7*p3*p2+160/7*(-187908+2184*n)*p7*p3*p1^2
+160/3*(1313190-8640*n)*p9*p2*p1+40*(2687040-36720*n)*p8*p3*p1+72000*p4^2*p2*p1
^2+20/3*(1140480-15552*n)*p3*p2^3*p1+20/3*(-105408+1296*n)*p3*p2^2*p1^3+96*(
33096909910-12387159415/6*n+37754795*n^2-1276685/6*n^3+235*n^4)*p5*p2*p1+80*(
41140658996-2675100868*n+53881982*n^2-392618*n^3+820*n^4)*p4*p3*p1+60*(-\
3709791376+189513888*n-2873136*n^2+14168*n^3)*p4*p2*p1^2+40*(-3969371808+
175003284*n-2252808*n^2+9792*n^3)*p3*p2^2*p1+80/3*(336254364-14020776*n+181692*
n^2-846*n^3)*p3*p2*p1^3+160*(893977585336-212031170773/2*n+4159389961*n^2-\
133881287/2*n^3+449651*n^4-1110*n^5)*p3*p2*p1+40*(-33175296+734832*n-3024*n^2)*
p6*p2*p1^2+48*(631540220-61857160/3*n+162750*n^2-470/3*n^3)*p5*p4*p1+32*(
516385170-25110915/2*n+83760*n^2-165/2*n^3)*p5*p3*p2+32*(-51248350+2935325/2*n-\
11895*n^2+25/2*n^3)*p5*p3*p1^2+24*(-30212960+528420*n-1800*n^2)*p5*p2^2*p1+16*(
2264700-41910*n+180*n^2)*p5*p2*p1^3+40/3*(3651588-81792*n+504*n^2)*p4*p3*p1^3+
15*(2038848-30528*n)*p4*p2^2*p1^2+5*(-101952+1152*n)*p4*p2*p1^4+34560*p4*p3*p2^
2*p1+160/9*(-88290+540*n)*p9*p1^3-2880*p4*p3*p2*p1^3+48/5*(2074800-19800*n)*p5^
2*p2+48/5*(-247400+3300*n)*p5^2*p1^2+30*(-35088480+465264*n-144*n^2)*p8*p4+15*(
501120-2592*n)*p8*p2^2+192/7*(-36810900+442820*n-140*n^2)*p7*p5+80/9*(2469096-\
27216*n)*p6*p3^2+960/11*(-21897876+384384*n)*p11*p1+48*(-16025460+134640*n)*p10
*p2+48*(1713580-22440*n)*p10*p1^2+320/9*(-28317330+378675*n-135*n^2)*p9*p3+
87360*p12*p1^2-1048320*p11*p3-846720*p8*p6+320/3*(-3285124560+145125600*n-\
1574235*n^2+1155*n^3)*p9*p1+60*(-3777241392+126458964*n-780480*n^2+396*n^3)*p8*
p2-1457280*p10*p4-1468800*p9*p5+320*(-21702536816544+12901297049345/2*n-\
7964021111393/12*n^2+368704214339/12*n^3-8243468525/12*n^4+88025087/12*n^5-\
212173/6*n^6+200/3*n^7)*p3*p1+240*(5302234860480-18006647310736/15*n+
1426639959418/15*n^2-10263657310/3*n^3+59881258*n^4-2508638/5*n^5+26192/15*n^6)
*p2*p1^2+32*(-3040394010+342864715/2*n-2946250*n^2+34995/2*n^3-25*n^4)*p5*p1^3+
30*(39313584672-2041431120*n+28211904*n^2-130464*n^3)*p4*p2^2+10*(294339776-\
12722976*n+156000*n^2-576*n^3)*p4*p1^4+80/3*(46033001712-2509488189*n+39221604*
n^2-238851*n^3+396*n^4)*p3^2*p2+80/3*(-4429575336+242372031*n-4310094*n^2+30687
*n^3-60*n^4)*p3^2*p1^2+8/3*(-21398280+676320*n-5040*n^2)*p3*p1^5+10*(278896896-\
8988192*n+72576*n^2)*p2^3*p1^2+5*(-18937728+535104*n-3456*n^2)*p2^2*p1^4+2/3*(
809280-17280*n)*p2*p1^6+192*(-3587946404280+1143876980987/2*n-1116055102405/36*
n^2+2850466995/4*n^3-246800425/36*n^4+86891/4*n^5-275/18*n^6)*p5*p1+120*(-\
5231833258656+11822239083706/15*n-38605770376*n^2+2224057990/3*n^3-5250080*n^4+
70128/5*n^5)*p4*p2+120*(673489196192-1283053620182/15*n+11162174096/3*n^2-\
207536498/3*n^3+1645444/3*n^4-7676/5*n^5)*p4*p1^2+160/3*(-102271752096+
20976177363/2*n-369689835*n^2+11302065/2*n^3-39144*n^4+105*n^5)*p3*p1^3+60*(-\
114963310880+10779397208*n-332207040*n^2+4107560*n^3-19104*n^4)*p2^2*p1^2+20*(
11615832832-933638040*n+24928464*n^2-271800*n^3+1104*n^4)*p2*p1^4+15*(568808352
-14140800*n+86400*n^2)*p4^2*p2+15*(-54965984+1522240*n-10560*n^2)*p4^2*p1^2+40/
3*(721578672-20284524*n+151668*n^2-144*n^3)*p4*p3^2+5*(-19149696+279936*n)*p4*
p2^3+160/27*(-63346860+1759320*n-12960*n^2)*p3^3*p1+20/3*(-27237600+532872*n-\
2592*n^2)*p3^2*p2^2+20/9*(-176688+1728*n)*p3^2*p1^4+960/7*(-180568604580+
15650057696*n-426184206*n^2+4021570*n^3-7140*n^4)*p7*p1+80*(-251512524900+
19164210464*n-414741012*n^2+2525908*n^3-3360*n^4)*p6*p2+80*(25446372252-\
1791939324*n+39260676*n^2-292068*n^3+420*n^4)*p6*p1^2+64*(-319814339490+
49972011825/2*n-2294815505/4*n^2+16923385/4*n^3-42195/4*n^4+25/4*n^5)*p5*p3+8/5
*(-77800+1200*n)*p5*p1^5+60*(351029904-12450252*n+103752*n^2-60*n^3)*p8*p1^2+
320/7*(-5338135656+195149136*n-1564458*n^2+1722*n^3)*p7*p3+160/7*(-30333156+
787584*n-4032*n^2)*p7*p1^3+40*(-6101064144+222360292*n-1722672*n^2+1820*n^3)*p6
*p4+20*(348802944-6523776*n+24192*n^2)*p6*p2^2+20/3*(1872192-28224*n)*p6*p1^4-\
5760*p5^2*p3*p1-4800*p5*p4^2*p1+67200*p6*p5*p3+53760*p7*p6*p1+11520*p7*p5*p2-\
3840*p7*p5*p1^2+34560*p7*p4*p3-4320*p8*p4*p1^2+138240*p8*p5*p1+12960*p8*p4*p2+
153600*p9*p4*p1+14400*p9*p3*p2-4800*p9*p3*p1^2+126720*p10*p3*p1+35251200*p14+
5760*p3*p2*p1^5+67078187111424*n^5-3726147348480*n^6-5382740876221440*n^2+
108404061696*n^7-1581238272*n^8-30720*n^10+10443776*n^9+16*(10020-90*n)*p5*p3*
p2*p1^2+80/3*(-103824+756*n)*p6*p3*p2*p1+24*(-163420+1200*n)*p5*p4*p2*p1+33600*
p6*p4^2+48960*p5^2*p4+480*p5*p4*p3*p1^2+40*(-46864476+1112784*n-6624*n^2)*p4*p3
*p2*p1-1440*p5*p4*p3*p2-6720*p6*p4*p3*p1-3225600*p13*p1-262080*p12*p2+120*(
1106083218240-118699845204*n+3965956878*n^2-45194838*n^3+98874*n^4-30*n^5)*p8+
240*(63304000381440-25075537850542*n+154016829036463/45*n^2-3127436155021/15*n^
3+54324948437/9*n^4-238443677/3*n^5+18150472/45*n^6-12304/15*n^7)*p4+5/2*(-\
3101690880+93747456*n-746496*n^2)*p2^4+40*(-851492411136+783276959564/5*n-\
10351804084*n^2+318390016*n^3-4898924*n^4+187436/5*n^5-120*n^6)*p1^4+480*(
46705553959680-205342174263964/5*n+532810801566938/45*n^2-4504562755622/3*n^3+
4204688923622/45*n^4-44079630118/15*n^5+2026662512/45*n^6-910808/3*n^7+4512/5*n
^8)*p2-276480*p7^2+80*(220540320-4456452*n+1092*n^2)*p12+5/2*(4512000-57600*n)*
p4^3+40/3*(-35858592+366912*n)*p6^2+160*(15571139023440-15893089599618/5*n+
658703519929/3*n^2-6360546423*n^3+224254261/3*n^4-1295217/5*n^5+700/3*n^6)*p6+
96/5*(-6325697700+230262375*n-1818700*n^2+2725*n^3)*p5^2+96*(26648622000-\
1406568900*n+18000950*n^2-19250*n^3)*p10+30*(-340847075040+79996668016/3*n-\
613130992*n^2+13468640/3*n^3-10400*n^4)*p4^2+4/3*(-1006908960+64681440*n-\
1288800*n^2+8640*n^3)*p1^6+20*(1034246455296-110729892096*n+3624967296*n^2-\
42606864*n^3+191808*n^4)*p2^3+480*(-21656787989760+66376827123868/5*n-\
123317801353874/45*n^2+11560221700654/45*n^3-110327353426/9*n^4+14006911198/45*
n^5-189704276/45*n^6+1323496/45*n^7-272/3*n^8)*p1^2+160/3*(-5896542483792+
894872348946*n-88989194883/2*n^2+1773075177/2*n^3-14055729/2*n^4+50883/2*n^5-30
*n^6)*p3^2+120*(-27894885245568+24317207628124/3*n-3983799224016/5*n^2+
101590093580/3*n^3-645271896*n^4+5149296*n^5-86784/5*n^6)*p2^2-625235227941888*
n^4+2827239514683904*n^3
[6, 5, 3, 3, 2]
3120751722240000*n-2624400*p8*p2*p1^2-151200*p9*p1^3-414720*p7*p3*p1^2-1360800*
p6*p4*p1^2-388800*p5*p3^2*p1+28226880*p10*p1^2-427680*p5^2*p1^2-622080*p7^2+18*
(2641080-32640*n+120*n^2)*p5*p4*p3+36*(1788360-17745*n+105*n^2)*p6*p5*p1+45/2*(
4073832-49056*n+168*n^2)*p6*p4*p2+135/7*(-271600+3360*n)*p7*p2^2*p1+45*(1115640
-4320*n)*p8*p3*p1+270/7*(1870512-23296*n+112*n^2)*p7*p4*p1+180/7*(3172176-34944
*n)*p7*p3*p2+60*(2048580-28980*n+90*n^2)*p9*p2*p1+540/7*(390195792-40519640/3*n
+160636*n^2-2296/3*n^3)*p7*p2*p1+15/2*(-194112+2304*n)*p4*p3^2*p2+45/4*(-132720
+960*n)*p4^2*p3*p1+9*(-319200+4080*n)*p5*p3*p2^2+9/2*(29640-360*n)*p5*p2^3*p1+
45*(-4382739360+240550448*n-4872086*n^2+46966*n^3-184*n^4)*p3*p2^2*p1+30*(
174540312-5478408*n+49860*n^2-144*n^3)*p3*p2*p1^3+180*(763234914624-\
183699581043/2*n+15578184763/4*n^2-321501235/4*n^3+3815185/4*n^4-25727/4*n^5+19
*n^6)*p3*p2*p1+60*(358862616-8820567*n+69867*n^2-252*n^3)*p6*p3*p1+45*(-\
25552968+566328*n-3024*n^2)*p6*p2*p1^2+54*(424240320-36230425/3*n+271485/2*n^2-\
2570/3*n^3+5/2*n^4)*p5*p4*p1+36*(716077080-22179560*n+228600*n^2-940*n^3)*p5*p3
*p2+36*(-17805600+175320*n-720*n^2)*p5*p3*p1^2+27*(-56997480+5259280/3*n-19050*
n^2+230/3*n^3)*p5*p2^2*p1+18*(1159560-10680*n+60*n^2)*p5*p2*p1^3+15*(605376-\
2304*n)*p4*p3*p1^3+135/8*(3495584-73408*n+384*n^2)*p4*p2^2*p1^2+15*(1734912-\
13824*n)*p3^2*p2*p1^2+15/2*(6034680-142200*n+864*n^2)*p3*p2^3*p1+15/2*(-107280+
576*n)*p3*p2^2*p1^3+108*(28948075620-11494598015/6*n+542084935/12*n^2-2139705/4
*n^3+39785/12*n^4-95/12*n^5)*p5*p2*p1+90*(31027255968-1832462333*n+71776003/2*n
^2-363016*n^3+4115/2*n^4-6*n^5)*p4*p3*p1+135/2*(-2659539320+133237784*n-2389620
*n^2+19520*n^3-60*n^4)*p4*p2*p1^2+135/4*(-32833440+400320*n-1440*n^2)*p8*p4-\
1296000*p9*p5+10*(1654128-12096*n)*p6*p3^2+15/4*(-375984+3024*n)*p6*p2^3-\
1283040*p10*p4+135/8*(3939840-48960*n)*p8*p2^2-673920*p11*p3+216/7*(-35642880+
469140*n-2100*n^2)*p7*p5-2948400*p12*p2+1080/11*(-13587288+191334*n-858*n^2)*
p11*p1+54*(-31322280+549120*n-1320*n^2)*p10*p2+40*(-25171560+260280*n-540*n^2)*
p9*p3+52920*p6^2*p2+54/5*(4452600-69000*n+300*n^2)*p5^2*p2-1020600*p8*p6+135/32
*(-398720+3840*n)*p4^2*p2^2+45/8*(-93206208+2501568*n-16416*n^2)*p4*p2^3+20/3*(
-26652240+233280*n)*p3^3*p1+15/2*(-76801680+1865376*n-12672*n^2)*p3^2*p2^2+120*
(-2368734840+93691005*n-4618935/4*n^2+6780*n^3-45/4*n^4)*p9*p1+135/2*(-\
4610895120+200729760*n-2656080*n^2+11280*n^3)*p8*p2+135/2*(171750960-4032000*n+
21600*n^2)*p8*p1^2+360/7*(-4986650592+180829852*n-1865220*n^2+8288*n^3)*p7*p3+
180/7*(-8460144+63840*n-336*n^2)*p7*p1^3+45*(-5770361520+213216934*n-2254245*n^
2+11732*n^3-21*n^4)*p6*p4+45/2*(726693072-25294360*n+251244*n^2-644*n^3)*p6*p2^
2+18900*p6*p4^2+97200*p8*p4*p2-5400*p9*p2^2*p1+43200*p9*p3*p2+86400*p9*p4*p1+
168480*p11*p2*p1+135/2*(-92574169600+26819051896/3*n-958381940/3*n^2+17494352/3
*n^3-174400/3*n^4+260*n^5)*p2^2*p1^2+45/2*(6149222592-405727680*n+8973288*n^2-\
89568*n^3+360*n^4)*p2*p1^4+360*(-18849967951392+11212753509525/2*n-\
2326537268833/4*n^2+223486201183/8*n^3-11277000005/16*n^4+165641905/16*n^5-\
1528291/16*n^6+8361/16*n^7-5/4*n^8)*p3*p1+270*(4410555152640-977804279159*n+
458838326915/6*n^2-5690826179/2*n^3+176674234/3*n^4-754114*n^5+34985/6*n^6-43/2
*n^7)*p2*p1^2+30*(48769485336-3052380840*n+64728708*n^2-643080*n^3+2784*n^4)*p3
^2*p2+30*(-2380733424+89691408*n-899424*n^2+3456*n^3)*p3^2*p1^2+3*(-2853360+
8640*n)*p3*p1^5+45/4*(374528784-17956368*n+306864*n^2-1968*n^3)*p2^3*p1^2+45/8*
(-12425664+322944*n-2304*n^2)*p2^2*p1^4+216*(-3019078461720+2850067342535/6*n-\
51683437765/2*n^2+15523731755/24*n^3-418961605/48*n^4+1129155/16*n^5-15155/48*n
^6+25/48*n^7)*p5*p1+135*(-4802873153520+2294465532574/3*n-127256452229/3*n^2+
3261418042/3*n^3-43376929/3*n^4+298822/3*n^5-280*n^6)*p4*p2+135*(503707272240-\
176910267526/3*n+7067426873/3*n^2-130738370/3*n^3+1346215/3*n^4-2510*n^5+6*n^6)
*p4*p1^2+60*(-62755750800+5292641934*n-285876459/2*n^2+1617102*n^3-17505/2*n^4+
18*n^5)*p3*p1^3+1080/7*(-143450910120+35597569322/3*n-1955822071/6*n^2+4113921*
n^3-170177/6*n^4+259/3*n^5)*p7*p1+90*(-250925247720+21514887555*n-1245416417/2*
n^2+15862049/2*n^3-88795/2*n^4+133/2*n^5)*p6*p2+90*(16140116160-954437610*n+
17764425*n^2-144312*n^3+441*n^4)*p6*p1^2+72*(-294017913000+23689443185*n-\
614174960*n^2+13964835/2*n^3-42370*n^4+215/2*n^5)*p5*p3+36*(-1382223960+
52286490*n-1038405/2*n^2+2520*n^3-15/2*n^4)*p5*p1^3+135/4*(48082723536-\
9838310840/3*n+76840332*n^2-2314336/3*n^3+2956*n^4)*p4*p2^2+45/4*(86013696-\
1855104*n+12672*n^2)*p4*p1^4+45/32*(-423936+6912*n)*p2^4*p1^2+135/8*(786689760-\
24691520*n+240320*n^2-960*n^3)*p4^2*p2+135/8*(-23870560+463040*n-2880*n^2)*p4^2
*p1^2+15*(628443504-14735808*n+132624*n^2-576*n^3)*p4*p3^2-2700*p5*p4^2*p1+
30240*p6*p5*p3-3780*p6*p4*p2^2+34560*p7*p4*p3+60480*p7*p6*p1+129600*p7*p5*p2+
48600*p8*p5*p1+17280*p7*p2*p1^3+113400*p6*p2^2*p1^2+39657600*p14+51840*p5*p3*p2
*p1^2+8640*p5*p4*p1^3-1080*p5*p2^2*p1^3+81000*p4^2*p2*p1^2+14580*p4*p2^4-3240*
p4*p2^3*p1^2+2865567993018120*n^3-646044739821180*n^4-6480*p5*p1^5+45/16*(
3379200-28800*n)*p4^3+15*(-35181216+382788*n-1764*n^2)*p6^2+9/32*(9072000-\
155520*n)*p2^5+45/16*(-6909106368+402058944*n-7699104*n^2+50976*n^3)*p2^4+60*(-\
5304563973504+829278980772*n-88409199927/2*n^2+1056745293*n^3-26093565/2*n^4+
91221*n^5-300*n^6)*p3^2+135*(-24964083940224+7488698298426*n-2366683886699/3*n^
2+117140904422/3*n^3-6195869045/6*n^4+93806177/6*n^5-264791/2*n^6+1005/2*n^7)*
p2^2+540*(-19028889169920+11627304851903*n-14347936707949/6*n^2+2689452634913/
12*n^3-261451280327/24*n^4+7173880777/24*n^5-120615977/24*n^6+1323247/24*n^7-\
2263/6*n^8+5/4*n^9)*p1^2+3/2*(-262599840+8285760*n-60480*n^2)*p1^6+
72154865621340*n^5-8714377088325/2*n^6+540*(41468242636800-36720471149591*n+
64569478471855/6*n^2-16966145659033/12*n^3+2277618356533/24*n^4-84311309357/24*
n^5+1820469211/24*n^6-23695637/24*n^7+14831/2*n^8-51/2*n^9)*p2+142560*p2*p1^6+
301630607865/2*n^7-3130489215*n^8+39873195*n^9-592245/2*n^10-3240*p5^2*p2^2+27*
(-264340+3680*n-20*n^2)*p5*p4*p2*p1+45/4*(18480-192*n)*p4*p3*p2^2*p1+45*(-\
48012204+1223568*n-11148*n^2+48*n^3)*p4*p3*p2*p1-4320*p5*p4*p3*p2+71280*p10*p2^
2-1814400*p13*p1+38880*p5^2*p4+1859760*p6*p1^4-233280*p4*p2*p1^4+6480*p2^3*p1^4
+90*(213857280-4471740*n+16380*n^2)*p12+180*(13925871479520-2918175563121*n+
427067987017/2*n^2-28473447373/4*n^3+957820675/8*n^4-8421707/8*n^5+34153/8*n^6-\
35/8*n^7)*p6+135*(1007428181760-112005309900*n+4153242210*n^2-66145890*n^3+
484950*n^4-1290*n^5)*p8+108/5*(-6019624800+225709450*n-5209425/2*n^2+16100*n^3-\
75/2*n^4)*p5^2-5408220376906920*n^2+108*(24994569600-1369851230*n+22234245*n^2-\
129580*n^3+165*n^4)*p10+270*(56207600991360-22614050116274*n+9560311884445/3*n^
2-623329504223/3*n^3+41986083497/6*n^4-777235843/6*n^5+8147351/6*n^6-45427/6*n^
7+17*n^8)*p4+135/4*(-313782748320+76071695200/3*n-659110640*n^2+22182920/3*n^3-\
43680*n^4+120*n^5)*p4^2+45*(-601490265984+97800444984*n-5458743774*n^2+
137063196*n^3-1747062*n^4+11940*n^5-36*n^6)*p1^4+45/2*(1055183888928-\
132883788148*n+6037629342*n^2-131357558*n^3+1439310*n^4-6642*n^5)*p2^3+2025/2*n
^11+30*(-157500+1008*n)*p6*p3*p2*p1-7560*p6*p5*p2*p1-8640*p7*p4*p2*p1+540*p5*p4
*p2^2*p1
[6, 5, 3, 2, 2, 2]
-58579065838080000*n+180*(31715006764-1727602542*n+30769062*n^2-219088*n^3+480*
n^4)*p3*p2^2*p1+120*(-3202931352+159774838*n-2701564*n^2+20078*n^3-56*n^4)*p3*
p2*p1^3+432*(-210693956700+59333057625/4*n-2742646585/8*n^2+19889105/6*n^3-\
109055/8*n^4+215/12*n^5)*p5*p2*p1+360*(-242166030466+16458943955*n-359032178*n^
2+3255238*n^3-13131*n^4+12*n^5)*p4*p3*p1+270*(28174905888-5064244696/3*n+
34035448*n^2-896648/3*n^3+992*n^4)*p4*p2*p1^2+69120*p1^8+720*(-4794204075272+
7364701526929/12*n-653763807013/24*n^2+1643400506/3*n^3-132013859/24*n^4+106981
/4*n^5-43*n^6)*p3*p2*p1+79833087616410*n^6-1359186588907470*n^5+
12256145315595000*n^4-54237316261705560*n^3+101842126399804320*n^2+105840*p6^2*
p1^2-1164240*p6^2*p2+90*(-84238321952+23857550092/3*n-809159798/3*n^2+13038992/
3*n^3-109522/3*n^4+132*n^5)*p2*p1^4+1440*(100216265490144-370812417014057/12*n+
10033345719074/3*n^2-8045668826965/48*n^3+69086773095/16*n^4-964310687/16*n^5+
22364659/48*n^6-14631/8*n^7+5/2*n^8)*p3*p1+288*(1688996357340-271153864135/2*n+
39843980705/12*n^2-92761805/3*n^3+1605055/12*n^4-1265/6*n^5)*p5*p3+144*(
22433631360-5694050315/4*n+724612225/24*n^2-1716805/6*n^3+32615/24*n^4-25/12*n^
5)*p5*p1^3+135*(-255495209096+15849937760*n-311581064*n^2+2530896*n^3-7608*n^4)
*p4*p2^2+45*(-2669219896+134141688*n-2176424*n^2+15936*n^3-48*n^4)*p4*p1^4+120*
(-273936767592+16233162854*n-295631726*n^2+2224576*n^3-6304*n^4)*p3^2*p2+120*(
29910412512-1715132238*n+32434830*n^2-271368*n^3+960*n^4)*p3^2*p1^2+12*(
251082000-8888460*n+82380*n^2-240*n^3)*p3*p1^5+360*(-160235142732+24622650899/2
*n-1265786291/4*n^2+3463579*n^3-66661/4*n^4+35/2*n^5)*p6*p1^2+4320/7*(
1006996168500-92575078309*n+5631923227/2*n^2-105925400/3*n^3+360353/2*n^4-763/3
*n^5)*p7*p1+360*(1394729508900-230465170537/2*n+11977431025/4*n^2-30527063*n^3+
515543/4*n^4-301/2*n^5)*p6*p2+180*(427062502-10489006*n+75414*n^2-120*n^3)*p4*
p3*p2*p1+45*(-85008+576*n)*p4*p3*p2^2*p1+120*(1601922-13608*n)*p6*p3*p2*p1+30*(
10392-96*n)*p4*p3*p2*p1^3+72*(-156160+1680*n)*p5*p3*p2*p1^2+108*(2131930-26010*
n+50*n^2)*p5*p4*p2*p1+45*(-3517961088+173959056*n-2851056*n^2+16272*n^3)*p2^3*
p1^2+45/2*(320233360-13822752*n+200256*n^2-1024*n^3)*p2^2*p1^4+3*(-20926560+
589920*n-4320*n^2)*p2*p1^6+864*(17975254440600-12038958804645/4*n+351314571025/
2*n^2-222212211355/48*n^3+2873828455/48*n^4-6141805/16*n^5+51665/48*n^6-25/24*n
^7)*p5*p1+540*(25888919640480-12292257276910/3*n+654869918462/3*n^2-15052881355
/3*n^3+162784996/3*n^4-879397/3*n^5+628*n^6)*p4*p2+540*(-3646676853280+
1489700611550/3*n-71820596758/3*n^2+1598964485/3*n^3-18133820/3*n^4+106463/3*n^
5-80*n^6)*p4*p1^2+240*(614226200328-275916038889/4*n+22090305189/8*n^2-51714767
*n^3+4065155/8*n^4-10435/4*n^5+5*n^6)*p3*p1^3+270*(714719150432-231441723406/3*
n+2978966619*n^2-162594764/3*n^3+502097*n^4-1966*n^5)*p2^2*p1^2+1080*(-\
25780655528832+6186312174446*n-1600334990183/3*n^2+21961864788*n^3-967566043/2*
n^4+6047567*n^5-256049/6*n^6+135*n^7)*p2*p1^2+216*(157735380-2244660*n+3300*n^2
)*p10*p2+216*(-17105660+256740*n-660*n^2)*p10*p1^2+160*(163879380-1749510*n+990
*n^2)*p9*p3+135/8*(1324800-11520*n)*p4^2*p2^2-174960*p4*p2^4+43200*p4^2*p1^4+15
*(1377432-9072*n)*p6*p2^3+216/5*(-20832200+274950*n-750*n^2)*p5^2*p2+216/5*(
2412400-33150*n+150*n^2)*p5^2*p1^2+40*(-12816216+118944*n)*p6*p3^2+80*(1441440-\
13545*n+45*n^2)*p9*p1^3+135*(198198960-2238960*n+4080*n^2)*p8*p4+135/2*(-\
16154400+152640*n)*p8*p2^2+864/7*(219634800-2699340*n+7980*n^2)*p7*p5+4320/11*(
161065476-2968680*n+6864*n^2)*p11*p1+720/7*(301265412-27871606/3*n+82586*n^2-\
896/3*n^3)*p7*p1^3+144*(-24859170+322035*n-1155*n^2)*p6*p5*p1+90*(-18706212+
208068*n-420*n^2)*p6*p4*p2+90*(2168460-24276*n+84*n^2)*p6*p4*p1^2+40*(-111006+
504*n)*p6*p3*p1^3+180*(34605149040-1250936526*n+11512704*n^2-43260*n^3+42*n^4)*
p6*p4+90*(-3525809112+104118588*n-845628*n^2+1680*n^3)*p6*p2^2-120960*p4*p1^6+
8640*p2^2*p1^6+18*(14980-120*n)*p5*p2^2*p1^3+45*(1614240-17280*n)*p4^2*p3*p1+30
*(352152480-6714912*n+33408*n^2)*p3^2*p2^2+135/4*(-190720+1920*n)*p4^2*p2*p1^2+
30*(646464-5376*n)*p4*p3^2*p2+30*(-103968+1152*n)*p4*p3^2*p1^2+10*(2216448-\
18432*n)*p3^2*p1^4+45/8*(3734208-51840*n)*p2^4*p1^2+15/4*(-296640+3456*n)*p2^3*
p1^4+30*(-27437256+562632*n-2856*n^2)*p6*p1^4+36/5*(1859600-18100*n+100*n^2)*p5
*p1^5+135/2*(-4127636480+111634400*n-908000*n^2+2400*n^3)*p4^2*p2+135/2*(
442302400-12539680*n+116320*n^2-480*n^3)*p4^2*p1^2+60*(-3980948088+92836104*n-\
660840*n^2+1056*n^3)*p4*p3^2+45/2*(386485488-8552304*n+47952*n^2)*p4*p2^3+80/3*
(398036160-8445600*n+51840*n^2)*p3^3*p1+207360*p7*p4*p2*p1-1004659200*p14+480*(
20890713600-979818120*n+26151345/2*n^2-50535*n^3+45/2*n^4)*p9*p1+38880*p5^2*p2^
2+270*(25321781760-998432240*n+10488240*n^2-29920*n^3)*p8*p2+240*(-18472860+
233685*n-225*n^2)*p9*p2*p1+180*(-18494280+185760*n)*p8*p3*p1+135*(1878240-20160
*n)*p8*p2*p1^2+1080/7*(-22649144+262920*n-616*n^2)*p7*p4*p1+270*(-2690000160+
105810000*n-1207200*n^2+4560*n^3)*p8*p1^2+720/7*(-15025192+128352*n)*p7*p3*p2+
720/7*(1720040-15456*n)*p7*p3*p1^2+540/7*(1768704-14112*n)*p7*p2^2*p1+1440/7*(
30317959224-3274629904/3*n+9707936*n^2-77504/3*n^3)*p7*p3+360/7*(-158200+1344*n
)*p7*p2*p1^3+40320*p5*p4*p3*p2+86400*p9*p3*p1^2-8640*p5*p4*p3*p1^2-6480*p5*p4*
p2^2*p1+720*p5*p4*p2*p1^3+64800*p9*p2^2*p1+120960*p6*p4*p3*p1-15120*p6*p4*p2*p1
^2+347760*p6*p5*p2*p1+2160/7*(-3270517516+114871162*n-1113770*n^2+2744*n^3)*p7*
p2*p1+240*(-3755832318+121320045*n-1071777*n^2+2940*n^3)*p6*p3*p1-7200*p9*p2*p1
^3+180*(379015056-11481932*n+101304*n^2-196*n^3)*p6*p2*p1^2+216*(-4193277750+
138040005*n-1338850*n^2+5730*n^3-5*n^4)*p5*p4*p1-4471200*p8*p5*p1-1296000*p8*p4
*p2+144*(-3858687640+311752550/3*n-834570*n^2+6640/3*n^3)*p5*p3*p2+194400*p8*p4
*p1^2+144*(411572240-11529890*n+104470*n^2-380*n^3)*p5*p3*p1^2+108*(417865420-\
11340370*n+89090*n^2-200*n^3)*p5*p2^2*p1-5728320*p11*p2*p1+72*(-38213020+
2928710/3*n-8340*n^2+70/3*n^3)*p5*p2*p1^3+60*(-36946410+794406*n-6078*n^2+24*n^
3)*p4*p3*p1^3+135/2*(-43125616+1011312*n-6096*n^2)*p4*p2^2*p1^2-1814400*p8*p1^4
+45/2*(3112384-58144*n+288*n^2)*p4*p2*p1^4-2280960*p10*p3*p1+60*(-38654184+
791328*n-4608*n^2)*p3^2*p2*p1^2+30*(-37736460+669816*n-2592*n^2)*p3*p2^3*p1+30*
(3507324-61944*n+288*n^2)*p3*p2^2*p1^3+6*(-161520+960*n)*p3*p2*p1^5+45*(-169176
+1008*n)*p6*p2^2*p1^2+72*(-16074140+184780*n-220*n^2)*p5*p4*p3+36*(-167030+1810
*n-10*n^2)*p5*p4*p1^3+48*(1389360-15840*n)*p5*p3^2*p1+36*(1177960-11280*n)*p5*
p3*p2^2+18*(-141300+1080*n)*p5*p2^3*p1+45360*p6*p4*p2^2-4233600*p7*p6*p1-\
2229120*p7*p5*p2+259200*p7*p5*p1^2-737280*p7*p4*p3-5760*p7*p4*p1^3+285120*p10*
p2*p1^2-3499200*p9*p4*p1-403200*p9*p3*p2+141120*p6*p2*p1^4+46080*p5*p3*p1^4-\
1440*p5*p2*p1^5+97200*p4*p2^3*p1^2+64800*p5*p4^2*p1-12960*p5^2*p2*p1^2+103680*
p5^2*p3*p1-1310400*p6*p5*p3-5040*p6*p5*p1^3+31881600*p9*p5+30844800*p8*p6-4320*
p4*p2^2*p1^4-453600*p6*p4^2+46937572740*n^8-2582567500320*n^7+2899530*n^10-\
487286550*n^9-8100*n^11+15344640*p7^2+135*(1798505906480-144339365520*n+
3530331200*n^2-32885440*n^3+148160*n^4-240*n^5)*p4^2+45/4*(32088885984-\
1607531616*n+25792992*n^2-145152*n^3)*p2^4+720*(-73836911388240+15560656222776*
n-4504040771699/4*n^2+285378195585/8*n^3-4195286487/8*n^4+28311689/8*n^5-83027/
8*n^6+35/4*n^7)*p6+240*(28833072118368-4529063072157*n+473819520159/2*n^2-\
5242633690*n^3+106453597/2*n^4-274091*n^5+580*n^6)*p3^2+90*(-5624118819168+
675644448414*n-27564368109*n^2+501754404*n^3-4504959*n^4+17226*n^5)*p2^3+360*(-\
1312103520+26792220*n-60060*n^2)*p12+6*(8745826080-668504760*n+16885800*n^2-\
174240*n^3+720*n^4)*p1^6+1080*(-283287185039040+345114104843213/3*n-\
97454904929777/6*n^2+3126020587249/3*n^3-33209055653*n^4+3243596725/6*n^5-\
27113221/6*n^6+116591/6*n^7-34*n^8)*p4+180*(4482163269504-2676418760609/3*n+
393499743841/6*n^2-7067738263/3*n^3+92369619/2*n^4-523990*n^5+10219/3*n^6-10*n^
7)*p1^4+60*(224105616-2718324*n+8820*n^2)*p6^2+540*(-5634511122240+625428250230
*n-22341085835*n^2+312818420*n^3-1670125*n^4+2830*n^5)*p8+2160*(-\
200264790942720+178948913350665*n-633954474681119/12*n^2+55475074676911/8*n^3-\
456153596320*n^4+381969913493/24*n^5-7272853583/24*n^6+19341721/6*n^7-155601/8*
n^8+219/4*n^9)*p2+540*(128172531961344-115951790681593/3*n+24119902616707/6*n^2
-1135236332525/6*n^3+13359025306/3*n^4-333005135/6*n^5+759475/2*n^6-1179*n^7)*
p2^2+2160*(94544280069120-59534822687121*n+51046059357721/4*n^2-10109838971947/
8*n^3+197155431742/3*n^4-15418949081/8*n^5+801840233/24*n^6-1406753/4*n^7+52241
/24*n^8-25/4*n^9)*p1^2+45/4*(-17280000+172800*n)*p4^3+432/5*(36071595000-\
3940743200/3*n+12662575*n^2-170350/3*n^3+75*n^4)*p5^2+9/8*(-33048000+466560*n)*
p2^5+432*(-147047300400+23874692050/3*n-117259120*n^2+1387100/3*n^3-330*n^4)*
p10+21116160*p11*p3+112320*p11*p1^3+25850880*p10*p4-855360*p10*p2^2+11520*p7*p1
^5-630720*p5^2*p4+123379200*p13*p1+49140000*p12*p2-5896800*p12*p1^2
[6, 5, 2, 2, 2, 2, 2]
1158597101260800000*n+11520*p2*p1^8+7200*(-23920609680+920765340*n-8853504*n^2+
19140*n^3)*p8*p2+7200*(4197803280-188107876*n+2263800*n^2-5060*n^3)*p8*p1^2+
38400/7*(-28507454640+993729240*n-7863996*n^2+17220*n^3)*p7*p3+19200/7*(-\
683788644+27192312*n-283710*n^2+462*n^3)*p7*p1^3+4800*(-32629771440+1150320073*
n-9731211*n^2+30695*n^3-21*n^4)*p6*p4+2400*(3363278856-94057173*n+676116*n^2-\
1071*n^3)*p6*p2^2+800*(103304040-3539221*n+30576*n^2-35*n^3)*p6*p1^4-931392000*
p8*p6-9600*p9*p1^5-753868800*p9*p5-1257984000*p12*p2+633600*p10*p1^4+17107200*
p10*p2^2-479001600*p10*p4-419328000*p11*p3+12800*(-24389632260+1205749944*n-\
64058607/4*n^2+44415*n^3-45/4*n^4)*p9*p1+9600*(198685345992-16977468438*n+
959993027/2*n^2-10616809/2*n^3+39109/2*n^4-35/2*n^5)*p6*p1^2+7680*(-\
1520066063820+364985116907/3*n-8629373639/3*n^2+23945943*n^3-262915/3*n^4+310/3
*n^5)*p5*p3+2880*(-507049610+25698333/2*n-86610*n^2+255/2*n^3)*p5*p2^2*p1+192*(
-14048250+2385935/6*n-2800*n^2+25/6*n^3)*p5*p1^5+1920*(90698334-5121375/2*n+
18335*n^2-55/2*n^3)*p5*p2*p1^3+1800*(3865463280-96143040*n+709920*n^2-1440*n^3)
*p4^2*p2+1800*(-760054960+23699040*n-202240*n^2+480*n^3)*p4^2*p1^2+26790912000*
p14+57600/7*(3975729828-140930748*n+1226862*n^2-2142*n^3)*p7*p2*p1+1600*(
3661198740-73734000*n+444408*n^2-480*n^3)*p4*p3^2+600*(-357073704+6988032*n-\
34992*n^2)*p4*p2^3+40*(1595880-32592*n+144*n^2)*p4*p1^6+6400*(4631004924-\
152452132*n+1201242*n^2-2618*n^3)*p6*p3*p1+6400/9*(-487215000+8758800*n-43200*n
^2)*p3^3*p1+800*(-324830700+5332680*n-21600*n^2)*p3^2*p2^2+800/3*(-11292300+
241560*n-1440*n^2)*p3^2*p1^4+160/21*(-127260+1008*n)*p3*p1^7+150*(-5230656+
62208*n)*p2^4*p1^2+100*(818208-9072*n)*p2^3*p1^4+600*(-762123680+38370804*n-\
581280*n^2+2868*n^3)*p2^2*p1^4+80*(108118944-5057568*n+67896*n^2-276*n^3)*p2*p1
^6+1600*(64611300-1187760*n+5760*n^2)*p3^2*p2*p1^2+800*(43337700-653670*n+1944*
n^2)*p3*p2^3*p1+800*(-7718940+122076*n-432*n^2)*p3*p2^2*p1^3+160*(1161060-17970
*n+72*n^2)*p3*p2*p1^5+1600*(97661232-2640402*n+19470*n^2-24*n^3)*p4*p3*p1^3+
1800*(68453832-1472256*n+8064*n^2)*p4*p2^2*p1^2+600*(-11534344+266400*n-1536*n^
2)*p4*p2*p1^4+23040*(-16252782156660+8521137323311/3*n-12473543609897/72*n^2+
225910366553/48*n^3-535190251/9*n^4+7901095/24*n^5-54215/72*n^6+25/48*n^7)*p5*
p1+14400*(-22079774909040+10583220861047/3*n-187184657781*n^2+12489667345/3*n^3
-41185135*n^4+193968*n^5-348*n^6)*p4*p2+14400*(3735054389360-1656354283603/3*n+
87157730101/3*n^2-693623871*n^3+23505689/3*n^4-118076/3*n^5+74*n^6)*p4*p1^2+
1200*(5932498176-1177384088/3*n+8495968*n^2-211144/3*n^3+184*n^4)*p4*p1^4+3200*
(251511630840-14562864780*n+244153050*n^2-1595262*n^3+3480*n^4)*p3^2*p2+3200*(-\
40854247680+2587673260*n-50806258*n^2+365870*n^3-920*n^4)*p3^2*p1^2+4800*(-\
624636600+19995171*n-156534*n^2+231*n^3)*p6*p2*p1^2+5760*(5182455030-1049259047
/6*n+3081383/2*n^2-28645/6*n^3+5/2*n^4)*p5*p4*p1+3840*(-35888910420+16261188301
/6*n-814089089/12*n^2+2654835/4*n^3-26395/12*n^4+25/12*n^5)*p5*p1^3+3840*(
3642023580-90904185*n+644222*n^2-1265*n^3)*p5*p3*p2+3600*(235389182208-\
14341939404*n+263823492*n^2-1897836*n^3+4788*n^4)*p4*p2^2+20*(-102240+864*n)*p2
^2*p1^6+3840*(-707935500+64931269/3*n-172000*n^2+1115/3*n^3)*p5*p3*p1^2+115200/
7*(-1024869807612+99354249582*n-6287123493/2*n^2+38547306*n^3-317499/2*n^4+168*
n^5)*p7*p1+9600*(-1257024156696+103711410068*n-5236428603/2*n^2+24431932*n^3-\
173733/2*n^4+84*n^5)*p6*p2+480*(145260-810*n)*p5*p2^3*p1+960*(660960-9310*n+10*
n^2)*p5*p4*p1^3+6400*(24033456-274185*n+135*n^2)*p9*p2*p1+1920*(12358620-123208
*n+100*n^2)*p5*p4*p3+1280*(-1440000+13200*n)*p5*p3^2*p1+960*(-978900+7740*n)*p5
*p3*p2^2+320*(-59700+660*n)*p5*p3*p1^4+480*(-30660+180*n)*p5*p2^2*p1^3+38400*(-\
82776837970512+78914513795755/3*n-70719943530127/24*n^2+7341458822623/48*n^3-\
24190946783/6*n^4+1322764945/24*n^5-3054701/8*n^6+61103/48*n^7-5/4*n^8)*p3*p1+
96*(5260-30*n)*p5*p2*p1^5+900*(277440-2880*n)*p4^2*p2*p1^2+800*(-450000+2880*n)
*p4*p3^2*p2+800*(121200-960*n)*p4*p3^2*p1^2+28800*(22837417909344-\
17407150649318/3*n+535060680185*n^2-47207715799/2*n^3+1639107584/3*n^4-40634153
/6*n^5+130357/3*n^6-121*n^7)*p2*p1^2+4800*(24492600-205920*n)*p8*p3*p1+3600*(-\
3479520+31680*n)*p8*p2*p1^2+28800/7*(30486036-339696*n+504*n^2)*p7*p4*p1+19200/
7*(14109480-105840*n)*p7*p3*p2+19200/7*(-3627960+30240*n)*p7*p3*p1^2+14400/7*(-\
2135700+13608*n)*p7*p2^2*p1+9600/7*(453852-3024*n)*p7*p2*p1^3+3840*(34906452-\
476910*n+1050*n^2)*p6*p5*p1+2400*(17310216-187992*n+252*n^2)*p6*p4*p2+2400*(-\
4701144+59388*n-84*n^2)*p6*p4*p1^2+3200/3*(495180-4536*n)*p6*p3*p1^3+1200*(
272664-1512*n)*p6*p2^2*p1^2+400*(-52248+252*n)*p6*p2*p1^4+4800*(-35732901080+
3917886003/2*n-32314740*n^2+396417/2*n^3-306*n^4)*p3*p2^2*p1+3200*(5717290968-\
655759041/2*n+5860011*n^2-75825/2*n^3+66*n^4)*p3*p2*p1^3+19200*(4562364269736-\
3671768206637/6*n+112640913921/4*n^2-3375610627/6*n^3+20453875/4*n^4-21041*n^5+
24*n^6)*p3*p2*p1+7200*(-38063598800+2490082672*n-51608012*n^2+401540*n^3-1068*n
^4)*p4*p2*p1^2+320*(-863190360+97361083/2*n-862118*n^2+11021/2*n^3-10*n^4)*p3*
p1^5+1200*(4939468128-248657364*n+3752352*n^2-19008*n^3)*p2^3*p1^2+11520*(
227247091584-100268288773/6*n+1545063979/4*n^2-20106551/6*n^3+44205/4*n^4-10*n^
5)*p5*p2*p1+9600*(261859360524-111954333481/6*n+814724733/2*n^2-19459895/6*n^3+
21127/2*n^4-6*n^5)*p4*p3*p1-28800*p5*p4*p2*p1^3+192000*p5*p4*p3*p1^2+129600*p5*
p4*p2^2*p1-576000*p5*p4*p3*p2+6400*(-745874930304+190197641439/2*n-17440337169/
4*n^2+364490969/4*n^3-3595483/4*n^4+15433/4*n^5-5*n^6)*p3*p1^3-2688000*p6*p4*p3
*p1+604800*p6*p4*p2*p1^2-12096000*p6*p5*p2*p1+7200*(-792143502208+92784868637*n
-3822648640*n^2+69999607*n^3-589032*n^4+2004*n^5)*p2^2*p1^2-6220800*p7*p4*p2*p1
+2400*(126644051904-42603653755/3*n+574978376*n^2-31685009/3*n^3+89516*n^4-296*
n^5)*p2*p1^4+80*(4620-48*n)*p4*p3*p1^5+1200*(-1449800+12960*n)*p4^2*p3*p1-1920*
p5*p1^7+1800*(15222240-118800*n)*p8*p2^2+600*(681120-7920*n)*p8*p1^4+23040/7*(-\
214094160+2601984*n-5880*n^2)*p7*p5+115200/11*(-215291076+4138134*n-6006*n^2)*
p11*p1+5760*(-153005160+2023560*n-1980*n^2)*p10*p2+3200/3*(11062800-90720*n)*p6
*p3^2+400*(-1220184+6804*n)*p6*p2^3+1152*(19213320-243810*n+450*n^2)*p5^2*p2+
1152*(-5263440+78150*n-150*n^2)*p5^2*p1^2+960/7*(-76020+504*n)*p7*p1^5+5760*(
34591480-611820*n+660*n^2)*p10*p1^2+12800/3*(-154651140+1390086*n-450*n^2)*p9*
p3+6400/3*(-5141340+78345*n-45*n^2)*p9*p1^3+3600*(-186864480+1886016*n-2640*n^2
)*p8*p4+450*(-1033920+8640*n)*p4^2*p2^2+150*(-72320+960*n)*p4^2*p1^4+5760000*p9
*p3*p2-1920000*p9*p3*p1^2-1296000*p9*p2^2*p1+288000*p9*p2*p1^3+171072000*p8*p5*
p1+28512000*p8*p4*p2-9504000*p8*p4*p1^2+188697600*p11*p2*p1+50688000*p10*p3*p1-\
11404800*p10*p2*p1^2-3110400*p4*p2^3*p1^2+302400*p4*p2^2*p1^4+960*p5*p4*p1^5-\
1008000*p5*p4^2*p1-2304000*p5^2*p3*p1+518400*p5^2*p2*p1^2+26880000*p6*p5*p3+
1344000*p6*p5*p1^3-907200*p6*p4*p2^2-33600*p6*p4*p1^4+212889600*p7*p6*p1+
58060800*p7*p5*p2-19353600*p7*p5*p1^2+13824000*p7*p4*p3+691200*p7*p4*p1^3+
92448000*p9*p4*p1+4800*(-520442536+11640516*n-73698*n^2+72*n^3)*p4*p3*p2*p1-\
4935168000*p13*p1-11289600*p6^2*p1^2-5760*p4*p2*p1^6+8951040*p5^2*p4+800*(-\
19620+144*n)*p4*p3*p2*p1^3+1200*(79020-432*n)*p4*p3*p2^2*p1+2880*(-2482168+
29100*n-30*n^2)*p5*p4*p2*p1+174720*p6*p1^6+3200*(-1992900+16128*n)*p6*p3*p2*p1+
1920*(247900-2280*n)*p5*p3*p2*p1^2+33868800*p6^2*p2-28800*p5^2*p1^4-777600*p5^2
*p2^2+7056000*p6*p4^2-497664000*p7^2+3499200*p4*p2^4-2022152661924825600*n^2-\
246805394273521920*n^4+1084439390734369920*n^3+11520*(136183647600-7319657345*n
+103416995*n^2-329175*n^3+165*n^4)*p10+9600*(1269777600-25439232*n+43680*n^2)*
p12+2304*(-34117990200+1217886145*n-21762225/2*n^2+39725*n^3-75/2*n^4)*p5^2+
14400*(4949169825600-551936767184*n+19471797026*n^2-258693996*n^3+1171390*n^4-\
1540*n^5)*p8+6400*(-24573505927320+3894327989045*n-405046993499/2*n^2+
4310489813*n^3-78548681/2*n^4+173360*n^5-280*n^6)*p3^2+2400*(4929407844864-\
594921376737*n+23854352166*n^2-409093443*n^3+3290814*n^4-11016*n^5)*p2^3+28800*
(224468109684000-92264200059732*n+591707538717892/45*n^2-5068833966205/6*n^3+
238639344842/9*n^4-410898903*n^5+138634813/45*n^6-68993/6*n^7+17*n^8)*p4+57600*
(-73657141810560+47579295711293*n-1898923711501523/180*n^2+78546287011057/72*n^
3-1075573911161/18*n^4+66515656601/36*n^5-5960952017/180*n^6+24657613/72*n^7-\
11711/6*n^8+5*n^9)*p1^2+30*(29160000-349920*n)*p2^5+300*(11827200-100800*n)*p4^
3+300*(-29978084448+1434863160*n-20707488*n^2+103032*n^3)*p2^4+419328000*p12*p1
^2-1607824054339200*n^6+27479256444583200*n^5+19200*(61446760174800-\
13088628454398*n+11395184706619/12*n^2-237075734007/8*n^3+1239888706/3*n^4-\
9807707/4*n^5+72541/12*n^6-35/8*n^7)*p6+3600*(-1619094889440+388773435904/3*n-\
3060512480*n^2+76559480/3*n^3-98640*n^4+120*n^5)*p4^2-20966400*p11*p1^3+1600*(-\
223237728+2864736*n-7056*n^2)*p6^2+57600*(152496265541760-137641156068029*n+
1478901038368951/36*n^2-652525122478403/120*n^3+12894958156009/36*n^4-\
74001568853/6*n^5+8113824103/36*n^6-88061849/40*n^7+47345/4*n^8-117/4*n^9)*p2+
4800*(-4595147577504+3061963659856/3*n-85537566886*n^2+21330154447/6*n^3-\
240209105/3*n^4+990724*n^5-19189/3*n^6+35/2*n^7)*p1^4+14400*(-103617343602720+
95050004170252/3*n-3322122394707*n^2+466986337640/3*n^3-3555667985*n^4+41150944
*n^5-251412*n^6+684*n^7)*p2^2+160*(-19831605120+2093361637*n-80091566*n^2+
1377821*n^3-10594*n^4+30*n^5)*p1^6+20/7*(-13463520+509376*n-4032*n^2)*p1^8-\
883161722880*n^8+51006656501280*n^7+8362197600*n^9-44150400*n^10+108000*n^11
[6, 4, 4, 4]
1866240*p4*p2^3-175426305196032*n-124416*p3*p2^3*p1+1152/5*(-394540765+19842960
*n-237900*n^2+480*n^3)*p5*p2*p1+32*(-19656+432*n)*p3^2*p2*p1^2+96*(43198992-\
1678320*n+16848*n^2)*p3*p2^2*p1+64*(-957636+37584*n-432*n^2)*p3*p2*p1^3+192*(-\
575051712+37329468*n-805440*n^2+6120*n^3)*p4*p3*p1+144*(19505040-609120*n+5760*
n^2)*p4*p2*p1^2-725760*p6*p4*p2+384*(-14716678395+1634612550*n-59579178*n^2+
873636*n^3-4752*n^4)*p3*p2*p1-2488320*p7*p3*p2+20736*p5*p3*p2^2+128/9*(1612251-\
69552*n+810*n^2)*p3^3*p1+16*(1114560-20736*n)*p3^2*p2^2+36*(-7516800+86400*n)*
p4^2*p2+384*p5*p3^3+576*(-96557179696+19937870504*n-1391592008*n^2+41866464*n^3
-564736*n^4+3072*n^5)*p2*p1^2+768*(444370070364-638462021754/5*n+63119886646/5*
n^2-555128740*n^3+11475640*n^4-525376/5*n^5+1704/5*n^6)*p3*p1+2304/5*(
64591440615-29264067610/3*n+1474806200/3*n^2-30024620/3*n^3+215860/3*n^4-40*n^5
)*p5*p1+288*(103955970092-15607444944*n+753660984*n^2-13253760*n^3+57600*n^4)*
p4*p2+288*(-9500407676+1049032808*n-38960472*n^2+615920*n^3-3840*n^4)*p4*p1^2+
128*(994436415-86556612*n+2889678*n^2-46536*n^3+312*n^4)*p3*p1^3+144*(
1228479360-86809248*n+1796832*n^2-13248*n^3)*p2^2*p1^2+48*(-46213488+2337888*n-\
47808*n^2+384*n^3)*p2*p1^4+2304/7*(2659394892-211954008*n+5182800*n^2-40320*n^3
)*p7*p1+192*(4660551756-352042572*n+7037604*n^2-25200*n^3)*p6*p2-253440*p9*p2*
p1+192*(-228734604+13327524*n-260988*n^2+1848*n^3)*p6*p1^2+768/5*(6339054480-\
535488290*n+13958550*n^2-114520*n^3+60*n^4)*p5*p3+384/5*(11092485-457370*n+7140
*n^2-40*n^3)*p5*p1^3+72*(-659537856+29822400*n-216000*n^2)*p4*p2^2+64*(-\
968420862+63177192*n-1259172*n^2+7344*n^3)*p3^2*p2+64*(43924302-2748708*n+61380
*n^2-504*n^3)*p3^2*p1^2+24*(-596160+10368*n)*p2^3*p1^2+32*(-21971052+922320*n-\
9720*n^2)*p4*p3^2+48384*p6*p3*p2*p1-186624*p8*p2^2+2304/35*(598500-4200*n)*p7*
p5+96*(-28728+432*n)*p8*p3*p1+2304/11*(122694-1716*n)*p11*p1-1566720*p14+
27675648*p10*p2+256/3*(913770-19800*n)*p9*p3+72*(505440-4320*n)*p8*p4+64/3*(-\
208278+4536*n)*p6*p3^2+96*(49896-1008*n)*p6*p2*p1^2+576/5*(-4501100+99900*n-600
*n^2)*p5*p4*p1+384/5*(-11506605+297450*n-720*n^2)*p5*p3*p2+384/5*(244245-7380*n
+60*n^2)*p5*p3*p1^2+288/5*(94680-720*n)*p5*p2^2*p1+1152/7*(-2630880+40320*n)*p7
*p2*p1+128*(-7089705+279972*n-2898*n^2)*p6*p3*p1+384/5*(-14175+210*n)*p6*p5*p1-\
387072*p5^2*p2+192/5*(-93900+900*n)*p5*p4*p3+128/5*(5715-90*n)*p5*p3^2*p1+256*(
34781835-1345740*n+12870*n^2)*p9*p1+144*(64591128-1932336*n+3456*n^2)*p8*p2+144
*(-1333944+37152*n-288*n^2)*p8*p1^2+768/7*(117806472-5453280*n+63000*n^2)*p7*p3
+96*(111121668-4157160*n+32760*n^2)*p6*p4+48*(-5276880+60480*n)*p6*p2^2+103680*
p4*p3^2*p2+179712*p11*p3+96*(370080-6480*n)*p4*p3*p2*p1-2304*p3^3*p2*p1-10368*
p8*p3^2+72576*p8*p6+42240*p9*p5-787555651055616/5*n^3+173142138728448/5*n^4+
1018863783936/5*n^6-18492285136896/5*n^5-8064*p6*p5*p3+384*(-320259259320+
327390485576/5*n-4558771952*n^2+131886272*n^3-1424584*n^4+9744/5*n^5)*p6+128*(
119423133108-93216277524/5*n+991249548*n^2-22322784*n^3+205248*n^4-2736/5*n^5)*
p3^2+48*(-19157266800+1954247040*n-54916704*n^2+342144*n^3)*p2^3+288*(
589828909264-846470791032/5*n+16423217736*n^2-674672016*n^3+11299392*n^4-252288
/5*n^5)*p2^2+96*(11590192464-1734466264*n+91642472*n^2-2350352*n^3+32032*n^4-\
192*n^5)*p1^4+192*(-4084080+87360*n)*p12+32*(786744-14112*n)*p6^2+1152/25*(
113934450-3943800*n+16800*n^2)*p5^2+365617152/5*n^8-28675252224/5*n^7-1327104/5
*n^9+1509046770622464/5*n^2+1152/5*(-501661160+27587560*n-360360*n^2)*p10+6*(
42985728-746496*n)*p2^4+32/27*(54756-1296*n)*p3^4+72*(6501601120-518566560*n+
11846400*n^2-72000*n^3)*p4^2+288*(-21610228640+2364910752*n-80627328*n^2+879744
*n^3-288*n^4)*p8+1152*(-1062080712000+13868163375632/15*n-3960061207264/15*n^2+
498498248944/15*n^3-6145675072/3*n^4+312008976/5*n^5-4198512/5*n^6+15552/5*n^7)
*p2+1152*(477633441600-4253413738256/15*n+839775395648/15*n^2-24612646224/5*n^3
+639736544/3*n^4-69672304/15*n^5+243344/5*n^6-1056/5*n^7)*p1^2+576*(-\
1374352077280+1619675013296/3*n-220317323632/3*n^2+13408172128/3*n^3-382137536/
3*n^4+1515136*n^5-4128*n^6)*p4
[6, 4, 4, 3, 2]
138240*p4*p3*p2^2*p1+34560*p4*p3^2*p1^2+3120194282323968*n+15552*p3^2*p2^3-3456
*p3^2*p2^2*p1^2-241920*p6*p4*p1^2-1575936*p7*p2^2*p1+24192*p6*p2^2*p1^2+10368*
p5*p2^3*p1-760320*p10*p4-1935360*p13*p1+42301440*p14+93312*p8*p3^2-1306368*p8*
p6+144/5*(-31539540+705820*n-2100*n^2)*p5*p2^2*p1+96/5*(841770-20520*n+120*n^2)
*p5*p2*p1^3+288/5*(395904540-11744400*n+95050*n^2-250*n^3)*p5*p4*p1+192/5*(
645017820-20331145*n+169245*n^2-260*n^3)*p5*p3*p2+192/5*(-26884920+873525*n-\
9315*n^2+30*n^3)*p5*p3*p1^2+576/7*(302203776-9540160*n+72912*n^2)*p7*p2*p1+
193536*p6*p1^4+64*(430938900-32406381/2*n+391797/2*n^2-756*n^3)*p6*p3*p1+34560*
p5^2*p4+48*(-18859512+504420*n-3780*n^2)*p6*p2*p1^2-2304*p5*p3^3+32/9*(42930-\
648*n)*p3^3*p2*p1+8*(-431280+5040*n)*p4*p3^2*p2-1572480*p12*p2+24*(458706192-\
11733204*n+53172*n^2)*p6*p2^2+72*(-2212036800+110231824*n-1801280*n^2+10800*n^3
)*p4*p2*p1^2+48*(-3502372596+183508896*n-3174000*n^2+19032*n^3)*p3*p2^2*p1+32*(
164621466-7711236*n+136620*n^2-936*n^3)*p3*p2*p1^3+192*(709371621552-\
859988273157/10*n+7216174035/2*n^2-68668765*n^3+639012*n^4-12064/5*n^5)*p3*p2*
p1+96*(31074662940-2080763658*n+47502852*n^2-483570*n^3+2040*n^4)*p4*p3*p1+576/
5*(25329385590-9747725995/6*n+198537985/6*n^2-745075/3*n^3+1000/3*n^4)*p5*p2*p1
+8*(2990304-54432*n)*p3*p2^3*p1+128*(-2297734560+201225915/2*n-2489355/2*n^2+
3960*n^3)*p9*p1+8*(-88992+1728*n)*p3*p2^2*p1^3+72*(-3768746688+145143912*n-\
1256040*n^2+1248*n^3)*p8*p2+72*(168795360-5527080*n+52920*n^2-144*n^3)*p8*p1^2+
16*(3213108-101268*n+900*n^2)*p3^2*p2*p1^2+384/7*(-5239921680+224956214*n-\
2688294*n^2+9520*n^3)*p7*p3+192/7*(-7266168+139104*n-672*n^2)*p7*p1^3+48*(-\
5464711728+205794540*n-1828260*n^2+5880*n^3)*p6*p4+18*(1388160-21120*n)*p4*p2^2
*p1^2-1520640*p9*p5+16*(617760-8640*n)*p4*p3*p1^3+96*(15749818560-1051580418*n+
23730252*n^2-230748*n^3+882*n^4)*p6*p1^2+384/5*(-281771189640+23767894165*n-\
636978575*n^2+6664260*n^3-28510*n^4+20*n^5)*p5*p3+192/5*(-1346170680+134085645/
2*n-2381265/2*n^2+9840*n^3-30*n^4)*p5*p1^3+36*(38011911456-2238497968*n+
37347360*n^2-194160*n^3)*p4*p2^2+12*(65257920-1670400*n+11520*n^2)*p4*p1^4+32*(
45643749552-2996681709*n+65025075*n^2-589614*n^3+1896*n^4)*p3^2*p2+32*(-\
2839850712+169363953*n-3896955*n^2+43200*n^3-198*n^4)*p3^2*p1^2+16/5*(-1779840+
34560*n)*p3*p1^5-5403938210482176*n^2+18*(569552640-14248000*n+91200*n^2)*p4^2*
p2+18*(-16300800+211200*n)*p4^2*p1^2+16*(848191896-30541140*n+339840*n^2-1260*n
^3)*p4*p3^2+64*(1303830-15840*n)*p9*p2*p1+48*(2256120-39852*n+108*n^2)*p8*p3*p1
+36*(-50400+576*n)*p8*p2*p1^2+288/7*(1249920-5600*n)*p7*p4*p1+192/7*(3268104-\
40320*n)*p7*p3*p2+192/7*(-70896+672*n)*p7*p3*p1^2+192/5*(1997940-57225/2*n+105/
2*n^2)*p6*p5*p1+24*(2380560-23520*n)*p6*p4*p2+6*(-37316160+544320*n)*p4*p2^3+64
/9*(-71178912+5543721/2*n-73629/2*n^2+162*n^3)*p3^3*p1-518400*p4^2*p2^2+8*(-\
68995080+1870956*n-11772*n^2)*p3^2*p2^2+96/5*(4202400-52950*n+150*n^2)*p5*p4*p3
+64/5*(-378540+13725/2*n-45/2*n^2)*p5*p3^2*p1+48/5*(-225240+1440*n)*p5*p3*p2^2+
1152/7*(-137031581568+35554133566/3*n-1006368118/3*n^2+11406752/3*n^3-45416/3*n
^4)*p7*p1+96*(-223575090480+18398006774*n-459968306*n^2+3897124*n^3-8680*n^4)*
p6*p2+144*(484217584080-59295357160*n+2532922480*n^2-49606216*n^3+483000*n^4-\
2040*n^5)*p4*p1^2+384*(-17742298284576+5302840608334*n-2766089315646/5*n^2+
264946563513/10*n^3-1286146889/2*n^4+16531833/2*n^5-556823/10*n^6+751/5*n^7)*p3
*p1+12*(213353136-8224992*n+82080*n^2)*p2^3*p1^2+6*(-6706368+228096*n-2304*n^2)
*p2^2*p1^4+1152/5*(-2856133578000+2740717130521/6*n-151142549315/6*n^2+
1843268960/3*n^3-21052975/3*n^4+102362/3*n^5-70/3*n^6)*p5*p1+144*(-\
4435527012792+2091787777048/3*n-110281623160/3*n^2+2419870256/3*n^3-22043360/3*
n^4+24992*n^5)*p4*p2+288*(4161024086400-2785448382134/3*n+364356226828/5*n^2-\
7987291700/3*n^3+50542782*n^4-1535636/3*n^5+11472/5*n^6)*p2*p1^2+64*(-\
62687543472+12101530077/2*n-431523477/2*n^2+3923100*n^3-39492*n^4+180*n^5)*p3*
p1^3+72*(-80850659760+7529183588*n-244965300*n^2+3560912*n^3-20768*n^4)*p2^2*p1
^2+24*(5504670648-396772200*n+10690440*n^2-144768*n^3+864*n^4)*p2*p1^4-27648*p3
^2*p1^4+128/3*(-36127080+666765*n-1485*n^2)*p9*p3+18*(1563264-6912*n)*p8*p2^2+
1152/35*(-34408080+390390*n-630*n^2)*p7*p5+1152/11*(-13412256+233805*n-429*n^2)
*p11*p1+288/5*(-21473760+271920*n)*p10*p2+288/5*(509520-5280*n)*p10*p1^2-6912*
p5^2*p3*p1+129024*p6*p5*p3-4032*p6*p3^2*p2+32256*p7*p6*p1+41472*p7*p5*p2+46080*
p7*p4*p3-4608*p7*p3^2*p1+89856*p11*p2*p1+152064*p10*p3*p1+126720*p9*p3*p2+
114048*p8*p5*p1+51840*p8*p4*p2+5184000*p4^3+279936*p2^5+288/25*(2780400-24000*n
)*p5^2*p2+288/25*(-90600+1200*n)*p5^2*p1^2+32/3*(5828760-96957*n+189*n^2)*p6*p3
^2-181440*p6*p2^3+36*(-29620800+306000*n-720*n^2)*p8*p4-62208*p2^4*p1^2+
652756718592/5*n^7-11057583744/5*n^8-324864/5*n^10+93424896/5*n^9-5760*p5*p4*p3
*p2+576*p5*p3^2*p2*p1+96/5*(10500-120*n)*p5*p3*p2*p1^2+144/5*(-129600+1000*n)*
p5*p4*p2*p1-1382400*p4^2*p3*p1+32*(-222138+3024*n)*p6*p3*p2*p1+48*(-43129608+
1237320*n-9600*n^2)*p4*p3*p2*p1-10368*p8*p3*p2*p1-4032*p6*p5*p2*p1+28224*p6^2*
p2-2875392*p11*p3-331776*p7^2-3207241442261376/5*n^4+14292352871900928/5*n^3+
576/25*(-5708278800+215451250*n-1861050*n^2+5000*n^3)*p5^2+64*(-4994696119680+
3966452146662/5*n-43025585937*n^2+2047582893/2*n^3-23289177/2*n^4+662031/10*n^5
-273/2*n^6)*p3^2+24*(911641244040-105999709044*n+4007319804*n^2-59420232*n^3+
312768*n^4)*p2^3+144*(-23285162436480+103899473585306/15*n-10663685772698/15*n^
2+97982948348/3*n^3-2149938836/3*n^4+36423788/5*n^5-147204/5*n^6)*p2^2+96*(
207174240-4463550*n+8190*n^2)*p12+288*(52695030810240-21185694432650*n+
8914562676406/3*n^2-569688764558/3*n^3+5985603296*n^4-277201252/3*n^5+1913780/3
*n^6-1598*n^7)*p4+576/5*(23659075440-1326557540*n+19715520*n^2-63580*n^3)*p10+
192*(13047863708880-13700022112056/5*n+198716092253*n^2-12570628553/2*n^3+
176770377/2*n^4-4821803/10*n^5+1253/2*n^6)*p6+16/27*(-937008+15552*n)*p3^4+576*
(38882708121600-171986608527844/5*n+150740867776513/15*n^2-7843890292289/6*n^3+
851825701233/10*n^4-87242713001/30*n^5+1549608859/30*n^6-447315*n^7+7896/5*n^8)
*p2+36*(-294815956800+24116225600*n-596325760*n^2+5195200*n^3-19200*n^4)*p4^2+
144*(945235811520-106123056600*n+3844668048*n^2-52545096*n^3+225264*n^4-96*n^5)
*p8+48*(-584720138880+99786568710*n-6135560250*n^2+184273848*n^3-3120324*n^4+
30864*n^5-144*n^6)*p1^4+8/5*(-198702720+6842880*n-69120*n^2)*p1^6+3*(-\
4008260160+163021248*n-1477440*n^2)*p2^4+16*(-36620640+480690*n-882*n^2)*p6^2+
576*(-17877461011200+10942721202308*n-6769850437613/3*n^2+1270917726229/6*n^3-\
306479091677/30*n^4+1617853387/6*n^5-24262705/6*n^6+102596/3*n^7-658/5*n^8)*p1^
2-20612286395136/5*n^6+353578705311744/5*n^5
[6, 4, 4, 2, 2, 2]
-58571586351267840*n+29859840*p7*p2^2*p1+2177280*p6*p2^3+9331200*p4^2*p2^2+384*
(-12051900+189612*n-108*n^2)*p8*p3*p1+512*(-5660325+47520*n)*p9*p2*p1+1152/5*(
115661690-2198640*n+5940*n^2)*p5*p2^2*p1+768/5*(-12632100+298950*n-1140*n^2)*p5
*p2*p1^3+128*(-23443764+803940*n-7200*n^2)*p4*p3*p1^3+144*(-10024800+162720*n)*
p4*p2^2*p1^2+48*(797760-14400*n)*p4*p2*p1^4+128*(-20540088+595440*n-3996*n^2)*
p3^2*p2*p1^2+64*(-7866720+128304*n)*p3*p2^3*p1+256/9*(-96795+972*n)*p3^3*p2*p1+
64*(789480-7560*n)*p4*p3^2*p2+64*(-185400+2520*n)*p4*p3^2*p1^2+384/5*(-72600+
900*n)*p5*p4*p1^3+512/5*(1612365-42645/2*n+45/2*n^2)*p5*p3^2*p1+384/5*(373860-\
2160*n)*p5*p3*p2^2+128/5*(7860-120*n)*p5*p3*p1^4+96*(1546800-19200*n)*p4^2*p3*
p1+768/5*(-12594900+151350*n-150*n^2)*p5*p4*p3+1536/5*(-11968005+280665/2*n-105
/2*n^2)*p6*p5*p1+192*(-6179880+55440*n)*p6*p4*p2+192*(1144920-15120*n)*p6*p4*p1
^2+256/3*(-123921+2016*n)*p6*p3*p1^3+1536/7*(1320228-21168*n)*p7*p3*p1^2+2304/7
*(-11971680+156240*n)*p7*p4*p1+1536/7*(-6655068+72576*n)*p7*p3*p2+288*(461664-\
2592*n)*p8*p2*p1^2-6912*p5*p3^2*p2*p1-23040*p5*p4*p3*p1^2+69120*p5*p4*p3*p2+
322560*p6*p4*p3*p1+64*(943056-17712*n)*p3*p2^2*p1^3+64/5*(-68400+1440*n)*p3*p2*
p1^5+4608/5*(-94512557940+39198466915/6*n-269999455/2*n^2+2520955/3*n^3-700*n^4
)*p5*p2*p1+768*(-117167128110+8445599518*n-192467952*n^2+1586970*n^3-4180*n^4)*
p4*p3*p1+576*(12549829456-755661648*n+13958400*n^2-79280*n^3)*p4*p2*p1^2+384*(
12754090122-654835836*n+10001304*n^2-50472*n^3)*p3*p2^2*p1+256*(-1452387252+
79363794*n-1413576*n^2+8424*n^3)*p3*p2*p1^3+1536*(-2231944620945+2857316602033/
10*n-24825294321/2*n^2+227613493*n^3-1753619*n^4+24966/5*n^5)*p3*p2*p1+4608/7*(
-1323053760+43062264*n-269136*n^2)*p7*p2*p1+512*(-1931548395+144888597/2*n-\
1347717/2*n^2+1092*n^3)*p6*p3*p1+384*(143722824-4083660*n+21924*n^2)*p6*p2*p1^2
+2304/5*(-2059669890+219818500/3*n-591450*n^2+1550/3*n^3)*p5*p4*p1+1536/5*(-\
1652668200+45501405*n-323145*n^2+300*n^3)*p5*p3*p2+1536/5*(225423660-7988485*n+
73175*n^2-70*n^3)*p5*p3*p1^2+256/3*(-12333636+152397*n-189*n^2)*p6*p3^2+9216/35
*(107786700-1230390*n+630*n^2)*p7*p5+2304/5*(54294240-566280*n)*p10*p2+2304/5*(
-8477040+154440*n)*p10*p1^2+1024/3*(97172460-1474605*n+1485*n^2)*p9*p3+512/3*(
729135-11880*n)*p9*p1^3+288*(104137920-1348560*n+720*n^2)*p8*p4+144*(-2673216+
10368*n)*p8*p2^2+48*(-39456+576*n)*p8*p1^4+9216/11*(78622830-1565421*n+429*n^2)
*p11*p1+2304/25*(-6127800+50400*n)*p5^2*p2+2304/25*(1083600-12600*n)*p5^2*p1^2+
3072/5*(798612527940-197762708965/3*n+1623572250*n^2-40052330/3*n^3+39615*n^4-\
20*n^5)*p5*p3+1024*(10020396375-985431315/2*n+12207195/2*n^2-6600*n^3)*p9*p1+
576*(10635502752-387212472*n+2809512*n^2-1440*n^3)*p8*p2+576*(-1316918592+
57198648*n-627288*n^2+336*n^3)*p8*p1^2+3072/7*(15002404452-596034054*n+5533542*
n^2-11088*n^3)*p7*p3+1536/7*(151546248-5780880*n+55440*n^2)*p7*p1^3+384*(
16660333872-633729460*n+5148780*n^2-8120*n^3)*p6*p4+192*(-1121755488+24766812*n
-102060*n^2)*p6*p2^2+64*(-14162232+476616*n-4200*n^2)*p6*p1^4+256/27*(21465-324
*n)*p3^3*p1^3-1520640*p9*p3*p2+506880*p9*p3*p1^2-4022784*p8*p5*p1-622080*p8*p4*
p2+207360*p8*p4*p1^2-13824*p8*p3*p1^3-3483648*p7*p6*p1-497664*p7*p5*p2-1078272*
p11*p2*p1-7907328*p10*p3*p1+192*(-40118725692+3941873392*n-138598832*n^2+
2141104*n^3-12768*n^4)*p2*p1^4+3072*(47103443330220-43683081028874/3*n+
7888568656781/5*n^2-783011524513/10*n^3+11548691237/6*n^4-139608871/6*n^5+
3807149/30*n^6-3973/15*n^7)*p3*p1+2304*(-12143949799104+14617338975662/5*n-\
3774338396578/15*n^2+10123944366*n^3-205217616*n^4+10195558/5*n^5-122012/15*n^6
)*p2*p1^2+1536/5*(11108526090-4636162595/6*n+35279005/2*n^2-423800/3*n^3+130*n^
4)*p5*p1^3+288*(-105330730704+5947206192*n-92017440*n^2+452880*n^3)*p4*p2^2+96*
(-1378794624+83863264*n-1704640*n^2+12000*n^3)*p4*p1^4+256*(-124340065908+
7500174207*n-136460790*n^2+978192*n^3-2169*n^4)*p3^2*p2+256*(15224124588-\
995442987*n+21831366*n^2-186642*n^3+471*n^4)*p3^2*p1^2+128/5*(145676910-8251680
*n+166080*n^2-1200*n^3)*p3*p1^5+96*(-1085411088+42555888*n-404352*n^2)*p2^3*p1^
2+48*(103007376-4087872*n+42624*n^2)*p2^2*p1^4+32/5*(-6862320+262080*n-2880*n^2
)*p2*p1^6+9216/5*(8478653656635-8594216301481/6*n+1507327688495/18*n^2-\
2124821480*n^3+208283020/9*n^4-247252/3*n^5+370/9*n^6)*p5*p1+1152*(
12014341274868-5663646299840/3*n+97437738988*n^2-6019127860/3*n^3+15817460*n^4-\
45948*n^5)*p4*p2+1152*(-1740166525068+242078408576*n-35646772796/3*n^2+
258598644*n^3-7411780/3*n^4+7876*n^5)*p4*p1^2+512*(299296975581-352308255761/10
*n+2992114699/2*n^2-29001376*n^3+257563*n^4-4062/5*n^5)*p3*p1^3+576*(
323154033020-34126203884*n+1228709268*n^2-18258464*n^3+98088*n^4)*p2^2*p1^2+384
/25*(861750-25400*n+200*n^2)*p5*p1^5+144*(-1705707360+44942400*n-288000*n^2)*p4
^2*p2+144*(228900320-7700800*n+62400*n^2)*p4^2*p1^2+128*(-2305845300+72755580*n
-609480*n^2+1260*n^3)*p4*p3^2+48*(77306400-1127520*n)*p4*p2^3+512/9*(277591671-\
18491625/2*n+162621/2*n^2-162*n^3)*p3^3*p1+64*(135370764-3222396*n+17172*n^2)*
p3^2*p2^2+64/3*(2388060-85032*n+792*n^2)*p3^2*p1^4+9216/7*(477995630700-\
44957051818*n+1359224286*n^2-14667800*n^3+32676*n^4)*p7*p1+768*(630334211976-\
50865435740*n+1188494685*n^2-8287678*n^3+12621*n^4)*p6*p2+768*(-77393276856+
6232331392*n-163410303*n^2+1528646*n^3-2583*n^4)*p6*p1^2+11943936*p7^2+768*p5*
p3^2*p1^3+115200*p5*p4^2*p1+193536*p5^2*p3*p1+48384*p6*p3^2*p2-16128*p6*p3^2*p1
^2-5376*p6*p5*p1^3-2236416*p6*p5*p3+165888*p7*p5*p1^2-1658880*p7*p4*p3+165888*
p7*p3^2*p1-5068800*p9*p4*p1-2654208*p7*p2*p1^3+32256*p6*p2*p1^4-1016064*p6*p2^2
*p1^2-124416*p5*p2^3*p1+13824*p5*p2^2*p1^3-2764800*p4^2*p2*p1^2+276480*p4*p3*p2
*p1^3-2903040*p4*p3*p2^2*p1-186624*p3^2*p2^3+103680*p3^2*p2^2*p1^2-4608*p3^2*p2
*p1^4+1866240*p2^4*p1^2+24*(-12576000+144000*n)*p4^3+128*(108761184-1186290*n+
882*n^2)*p6^2+128/27*(1247400-12960*n)*p3^4+4608/25*(17210547900-644702450*n+
4957050*n^2-7000*n^3)*p5^2+24*(9495379872-339189120*n+2939328*n^2)*p2^4+512*(
13527810729468-2141694930274*n+112382092423*n^2-4833038917/2*n^3+43507453/2*n^4
-185907/2*n^5+273/2*n^6)*p3^2+1536*(-34595185945320+36514502735844/5*n-\
1575953783341/3*n^2+31990252945/2*n^3-1209404063/6*n^4+8126587/10*n^5-4655/6*n^
6)*p6+1152*(59887607167584-269425454002334/15*n+9183612037044/5*n^2-\
246511585460/3*n^3+1683605646*n^4-75083592/5*n^5+273156/5*n^6)*p2^2+4608*(
44381217837600-139872013336676/5*n+270139131837431/45*n^2-53436275235887/90*n^3
+2747606505379/90*n^4-77408090897/90*n^5+1203638083/90*n^6-4912924/45*n^7+5746/
15*n^8)*p1^2+1152*(-2642195556000+295943960176*n-10397350332*n^2+126966128*n^3-\
348228*n^4+96*n^5)*p8+180518409216/5*n^8-11650541543424/5*n^7+4073472/5*n^10-\
1308420096/5*n^9+18869760*p12*p2+124416*p8*p3*p2*p1+768/5*(-69000+540*n)*p5*p3*
p2*p1^2+1152/5*(578200-3900*n)*p5*p4*p2*p1-6289920*p12*p1^2+28256256*p8*p6+
52715520*p11*p3+39536640*p10*p4+119808*p11*p1^3+34467840*p9*p5+768*(-634888800+
13374270*n-8190*n^2)*p12-338688*p6^2*p2+384*(188485212-5191980*n+34560*n^2)*p4*
p3*p2*p1-1036800*p8*p3^2-806400*p6*p4^2+112896*p6^2*p1^2-967680*p5^2*p4+15360*
p5*p3^3+60975933204777984/5*n^4-270711729441232896/5*n^3-1071636480*p14-3359232
*p2^5-82944*p2^3*p1^4+76820057413632*n^6-6701827785744384/5*n^5+64/5*(
4638600180-422203560*n+14358600*n^2-226560*n^3+1440*n^4)*p1^6+192*(-\
2490026152020+283018224492*n-10080935244*n^2+134128872*n^3-652536*n^4)*p2^3+288
*(846989568960-208375356640/3*n+1679869360*n^2-39365600/3*n^3+35600*n^4)*p4^2+
4608/5*(-69488579160+3850466620*n-52355160*n^2+82940*n^3)*p10+384*(
2153191125024-6570805003054/15*n+497830531064/15*n^2-3688030156/3*n^3+72468458/
3*n^4-1235592/5*n^5+5352/5*n^6)*p1^4+2304*(-132794293741200+53895037529286*n-\
68261117704976/9*n^2+479783813054*n^3-131085812258/9*n^4+614341156/3*n^5-\
10431116/9*n^6+7514/3*n^7)*p4+4608*(-93884962701600+419166268793876/5*n-\
1111307898547319/45*n^2+96592625340241/30*n^3-3735307653281/18*n^4+68335661663/
10*n^5-10066473877/90*n^6+12529357/15*n^7-2652*n^8)*p2+508922926818951168/5*n^2
+48384*p6*p5*p2*p1+131604480*p13*p1+256*(742203-7560*n)*p6*p3*p2*p1
[6, 4, 3, 3, 3]
3123832070799360*n+1166400*p4*p3*p1^3+11664*p5*p3*p2*p1^2+58320*p5^2*p4+77760*
p7*p4*p3-11664*p5^2*p2^2-163296*p3*p2^2*p1^3+243*(19513152-182232*n+216*n^2)*p8
*p1^2+1296/7*(-1540225512+63701505*n-948990*n^2+7266*n^3-21*n^4)*p7*p3+648/7*(-\
305424+2016*n)*p7*p1^3+162*(-1717764048+63739900*n-592620*n^2+1680*n^3)*p6*p4+
81*(284784192-11632824*n+148344*n^2-672*n^3)*p6*p2^2+432*(-505466280+33118965/2
*n-307395/2*n^2+495*n^3)*p9*p1+243*(-1535729328+76012668*n-1253574*n^2+8604*n^3
-18*n^4)*p8*p2+243/4*(270421920-8444000*n+60000*n^2)*p4^2*p2+243/4*(-2044800+
19200*n)*p4^2*p1^2+54*(207142920-5896170*n+72450*n^2-360*n^3)*p4*p3^2+81/4*(-\
43851744+1334560*n-9120*n^2)*p4*p2^3+24*(-4205520+25920*n)*p3^3*p1+27*(-\
40620960+1567764*n-24084*n^2+144*n^3)*p3^2*p2^2+1944/7*(91871556-2905672*n+
30352*n^2-112*n^3)*p7*p2*p1+486/5*(-15705960+484910*n-5450*n^2+20*n^3)*p5*p2^2*
p1+324/5*(52380-360*n)*p5*p2*p1^3+3888/5*(-796559087520+248786383765/2*n-\
161748273865/24*n^2+8228148275/48*n^3-117690205/48*n^4+343665/16*n^5-1715/16*n^
6+5/24*n^7)*p5*p1+243/2*(15669631776-1196397160*n+32164096*n^2-371920*n^3+1560*
n^4)*p4*p2^2+243/4*(475200-5760*n)*p4*p2^2*p1^2+81/2*(4579200-57600*n)*p4*p1^4+
108*(15502555080-1125460107*n+63556227/2*n^2-500013*n^3+9009/2*n^4-18*n^5)*p3^2
*p2+108*(-370786536+9781254*n-84798*n^2+216*n^3)*p3^2*p1^2+216*(66817464-\
1138200*n+6888*n^2)*p6*p3*p1+81/16*(-94464+1536*n)*p2^4*p1^2+3888/7*(-\
35481865356+2801783551*n-72620646*n^2+874370*n^3-5425*n^4+14*n^5)*p7*p1+324*(-\
75040658532+6970239122*n-229939857*n^2+3563574*n^3-27195*n^4+84*n^5)*p6*p2+324*
(3011364720-139314644*n+1760164*n^2-8400*n^3)*p6*p1^2+1296/5*(-85325702310+
14719631765/2*n-1783664135/8*n^2+56169545/16*n^3-535605/16*n^4+2775/16*n^5-5/16
*n^6)*p5*p3+648/5*(-157649400+3394995*n-26685*n^2+90*n^3)*p5*p1^3+162*(-3095568
+30912*n)*p6*p2*p1^2+972/5*(80757600-1757075*n+16525*n^2-50*n^3)*p5*p4*p1+648/5
*(273980250-22292985/2*n+727845/4*n^2-2865/2*n^3+15/4*n^4)*p5*p3*p2+648/5*(-\
1409880+11805*n-45*n^2)*p5*p3*p1^2+243/2*(-10039680+89640*n-360*n^2)*p8*p4+972/
7*(210000-1120*n)*p7*p4*p1+648/7*(1733004-30072*n+168*n^2)*p7*p3*p2+486*(-\
1362870472032+226898790486*n-13579825181*n^2+391838511*n^3-6072202*n^4+49511*n^
5-165*n^6)*p4*p2+486*(117361690848-12584303548*n+441753244*n^2-6980800*n^3+
59920*n^4-240*n^5)*p4*p1^2+216*(-11553593400+771618501*n-15156909*n^2+137214*n^
3-486*n^4)*p3*p1^3+243*(-21825618048+2044031928*n-72330500*n^2+1346112*n^3-\
14332*n^4+72*n^5)*p2^2*p1^2+81*(872970048-44097840*n+754128*n^2-4896*n^3)*p2*p1
^4+1296*(-5128280075712+1529767928912*n-1280541325373/8*n^2+125865703039/16*n^3
-3360809267/16*n^4+55245011/16*n^5-602341/16*n^6+2087/8*n^7-7/8*n^8)*p3*p1+648*
(201245113440-48809132379/2*n+4289538069/4*n^2-97144605/4*n^3+672861/2*n^4-\
11337/4*n^5+45/4*n^6)*p3*p2*p1+243*(-495454896+20910920*n-297880*n^2+1680*n^3)*
p4*p2*p1^2+972*(1148512749120-1245684194392/5*n+19005417403*n^2-1392969925/2*n^
3+29296571/2*n^4-1972721/10*n^5+3343/2*n^6-7*n^7)*p2*p1^2+162*(-1209399672+
70682934*n-1625568*n^2+19512*n^3-102*n^4)*p3*p2^2*p1+108*(20063700-447444*n+
2700*n^2)*p3*p2*p1^3+324*(7280327280-395342925*n+7098195*n^2-68250*n^3+300*n^4)
*p4*p3*p1+1944/5*(7367029170-974327125/2*n+47519545/4*n^2-150460*n^3+3995/4*n^4
-5/2*n^5)*p5*p2*p1+54*(183384-864*n)*p3^2*p2*p1^2+81/2*(83961216-3902480*n+
67888*n^2-480*n^3)*p2^3*p1^2+27*(2190120-62232*n+552*n^2)*p3*p2^3*p1+81/4*(-\
991872+16128*n)*p2^2*p1^4+972/25*(2277000-45900*n+300*n^2)*p5^2*p2-69984*p5^2*
p1^2+486/7*(-63840+448*n)*p7*p2^2*p1+243/4*(2113344-35280*n+144*n^2)*p8*p2^2+
648/5*(165480-560*n)*p6*p5*p1+3888/35*(-12555900+223230*n-1470*n^2)*p7*p5+81*(
1476720-6720*n)*p6*p4*p2+36*(654192-4032*n)*p6*p3^2+324/5*(1105200-15075*n+75*n
^2)*p5*p4*p3+27/2*(-284256+2688*n)*p6*p2^3+162/5*(-316440+5910*n-30*n^2)*p5*p3*
p2^2+81/5*(10680-80*n)*p5*p2^3*p1+3888/11*(-1933932+8008*n)*p11*p1+972/5*(-\
12472020+257400*n-1320*n^2)*p10*p2+27*(-147240+1440*n)*p4*p3^2*p2+144*(-8930790
+262845/2*n-1485/2*n^2)*p9*p3+216*(359370-1980*n)*p9*p2*p1+1539648*p10*p1^2+
58320*p4*p2^4-2624400*p4^2*p2^2+213840*p9*p3*p2+8748000*p4^3+9/2*(41616-576*n)*
p3^2*p2^3+648*p5*p3*p2^3-3888*p3*p2^4*p1-155520*p5*p3^2*p1-583200*p4^2*p3*p1+
16796160*p8*p3*p1-104976*p8*p2*p1^2-93312*p7*p3*p1^2-15552*p7*p3*p2^2+36288*p6*
p5*p3+326592*p7*p5*p2-559872*p3*p1^5-5832*p8*p2^3+87480*p8*p4*p2-1415232*p11*p3
-5307120*p12*p2+162*(-10811940+232980*n-1740*n^2)*p4*p3*p2*p1-2138400*p9*p5+486
/5*(-37500+200*n)*p5*p4*p2*p1-1283040*p10*p4-9720*p5*p4*p3*p2-326592*p8*p6+
256608*p10*p2^2+174960*p4*p3*p2^2*p1-3319386581439216/5*n^4+14495513372335296/5
*n^3-27153669172294656/5*n^2-2177280*p6*p3*p2*p1+1944/5*(7375848480-429940115*n
+7980720*n^2-62370*n^3+165*n^4)*p10+182964832128*n^7-21503159424/5*n^8+1944/25*
(-1861127100+79612275*n-2569725/2*n^2+11025*n^3-75/2*n^4)*p5^2+81/80*(6301440-\
138240*n)*p2^5+486*(286702416000-33300641004*n+1338660129*n^2-49534383/2*n^3+
469107/2*n^4-2097/2*n^5+3/2*n^6)*p8+972*(15596255001600-6368869666064*n+
5536055981375/6*n^2-758393605609/12*n^3+27785297003/12*n^4-195420909/4*n^5+
2440043/4*n^6-12692/3*n^7+25/2*n^8)*p4+320077656/5*n^9-2836296/5*n^10+1944*(-\
5231853849600+15947024198176/5*n-9809819955163/15*n^2+305545246088/5*n^3-\
35688947165/12*n^4+2490037829/30*n^5-14617033/10*n^6+258926/15*n^7-1577/12*n^8+
1/2*n^9)*p1^2-1119744*p7^2+47589120*p14-24277042734408/5*n^6+381765431881944/5*
n^5+243/2*(-90201891840+7590224520*n-207140680*n^2+2297600*n^3-9600*n^4)*p4^2+
81/8*(-2681517312+183430592*n-4246464*n^2+34560*n^3)*p2^4+648*(3889890164160-\
4188859800111/5*n+128757113107/2*n^2-9363848333/4*n^3+182188993/4*n^4-9979851/
20*n^5+11613/4*n^6-7*n^7)*p6+54*(-10075968+37632*n)*p6^2+324*(66830400-1493310*
n+8190*n^2)*p12+216*(-1493271775728+242722153029*n-55896503307/4*n^2+3133898343
/8*n^3-52169979/8*n^4+570501/8*n^5-3855/8*n^6+3/2*n^7)*p3^2+81*(315548745984-\
216245815848/5*n+2225411604*n^2-56631768*n^3+741948*n^4-20592/5*n^5)*p2^3+27/5*
(-12752640+207360*n)*p1^6+11664/5*n^11+486*(-6958567945728+10706412974832/5*n-\
236507750842*n^2+63494418227/5*n^3-379943143*n^4+33628753/5*n^5-67935*n^6+1548/
5*n^7)*p2^2+162*(-132038868096+18663928896*n-843293112*n^2+16185024*n^3-162072*
n^4+720*n^5)*p1^4+1944*(11507029632000-51270460179184/5*n+45710557240267/15*n^2
-6170989148626/15*n^3+1740561795929/60*n^4-1166941492*n^5+285348637/10*n^6-\
6521999/15*n^7+78127/20*n^8-81/5*n^9)*p2
[6, 4, 3, 3, 2, 2]
-58627001102303232*n+62657175464425728/5*n^4-273802242284577792/5*n^3+
510971593953383424/5*n^2+67392*p5^2*p2^2+27648*p5*p3^3-114048*p3*p2*p1^5+129600
*p4*p3*p2*p1^3+144*(355752768-11698008*n+129024*n^2-504*n^3)*p6*p2*p1^2+12/5*(-\
5464800+95040*n)*p2*p1^6+432/5*(555876240-52514300/3*n+158900*n^2-1120/3*n^3)*
p5*p2^2*p1+288/5*(-27032940+766365*n-7875*n^2+30*n^3)*p5*p2*p1^3+3456/7*(
1172478723486-325657247860/3*n+20575109177/6*n^2-48376454*n^3+1937089/6*n^4-\
2387/3*n^5)*p7*p1+288*(1828308960702-161237896932*n+4670092910*n^2-56883680*n^3
+305074*n^4-532*n^5)*p6*p2+288*(-161269078698+12018988842*n-314486613*n^2+
3916983*n^3-25011*n^4+63*n^5)*p6*p1^2+1152/5*(2205342105255-758324583475/4*n+
21147019705/4*n^2-1014516435/16*n^3+6203285/16*n^4-16745/16*n^5+15/16*n^6)*p5*
p3+576/5*(18237273975-4284373785/4*n+182206635/8*n^2-252015*n^3+12045/8*n^4-15/
4*n^5)*p5*p1^3+108*(-351858725712+72153601600/3*n-545060344*n^2+15661040/3*n^3-\
18680*n^4)*p4*p2^2+36*(-1549642368+62901840*n-829200*n^2+4320*n^3)*p4*p1^4+48*(
-20111130+380880*n-2340*n^2)*p4*p3*p1^3+54*(-6141934800+185406400*n-1648000*n^2
+4800*n^3)*p4^2*p2+54*(333418160-7904800*n+50400*n^2)*p4^2*p1^2+48*(-6621635952
+213121350*n-2334510*n^2+9720*n^3)*p4*p3^2+18*(695539248-18020160*n+112320*n^2)
*p4*p2^3+64/3*(616412754-20956644*n+266004*n^2-1296*n^3)*p3^3*p1+24*(780970104-\
23378832*n+216720*n^2-576*n^3)*p3^2*p2^2+8*(596808-2592*n)*p3^2*p1^4+9/2*(
5109120-96768*n)*p2^4*p1^2+3*(-198720+3456*n)*p2^3*p1^4+216*(35819728488-\
1574218038*n+19948401*n^2-83706*n^3+63*n^4)*p8*p2+1728/7*(-3854797842+444088540
/3*n-1759128*n^2+20384/3*n^3)*p7*p2*p1+216*(-2339556408+88734402*n-1105407*n^2+
5958*n^3-9*n^4)*p8*p1^2+1152/7*(43015662396-1792182392*n+44101869/2*n^2-110719*
n^3+273/2*n^4)*p7*p3+576/7*(181657854-4869984*n+44604*n^2-168*n^3)*p7*p1^3+144*
(46863899208-1807680350*n+18461835*n^2-82390*n^3+105*n^4)*p6*p4+72*(-5563659360
+190822520*n-1839768*n^2+5152*n^3)*p6*p2^2+24*(-8751456+90720*n)*p6*p1^4+144/25
*(222300-1800*n)*p5*p1^5+384*(23209855020-1104363480*n+65075175/4*n^2-179355/2*
n^3+495/4*n^4)*p9*p1+192*(-4382747586+321591375/2*n-8005977/4*n^2+21861/2*n^3-\
63/4*n^4)*p6*p3*p1+192*(608421209328-261050314833/4*n+20759046975/8*n^2-\
212770503/4*n^3+5246091/8*n^4-4779*n^5+63/4*n^6)*p3*p1^3+216*(783506466224-\
1269831133852/15*n+10238177698/3*n^2-207055660/3*n^3+2239742/3*n^4-17816/5*n^5)
*p2^2*p1^2+72*(-71134621872+6270974868*n-210600210*n^2+3737712*n^3-37830*n^4+
180*n^5)*p2*p1^4+3456/5*(21648108186600-43743941490227/12*n+216586705815*n^2-\
287672919665/48*n^3+4167176585/48*n^4-10897599/16*n^5+119695/48*n^6-55/24*n^7)*
p5*p1+96*(-383689211040+52326974715/2*n-2463068361/4*n^2+13621791/2*n^3-143367/
4*n^4+63*n^5)*p3^2*p2+96*(30134728944-3646678149/2*n+169520823/4*n^2-1059417/2*
n^3+14121/4*n^4-9*n^5)*p3^2*p1^2+576/5*(370893465-47092335/4*n+1182105/8*n^2-\
3525/4*n^3+15/8*n^4)*p5*p3*p1^2+48/5*(93193740-2166480*n+11880*n^2)*p3*p1^5+36*
(-3851362464+208466784*n-3953376*n^2+27840*n^3)*p2^3*p1^2+18*(220522656-9935616
*n+167232*n^2-1152*n^3)*p2^2*p1^4+864/5*(-4512514290+447923150/3*n-3060325/2*n^
2+20875/3*n^3-25/2*n^4)*p5*p4*p1+432*(32782763429232-16148440229951/3*n+
1831117165349/6*n^2-23340586097/3*n^3+592324867/6*n^4-1926320/3*n^5+1700*n^6)*
p4*p2+576/5*(-6263339715+848611405/4*n-18318375/8*n^2+39035/4*n^3-105/8*n^4)*p5
*p3*p2+432*(-4063247590032+1622533608485/3*n-155198795183/6*n^2+1794577876/3*n^
3-45767611/6*n^4+54073*n^5-165*n^6)*p4*p1^2+128*(288866655-9155025/2*n+31185/2*
n^2)*p9*p3+216*(27979350640-1689809776*n+36786198*n^2-371620*n^3+1470*n^4)*p4*
p2*p1^2+1152*(123259246684992-764195575955199/20*n+83737258717867/20*n^2-\
17254702627661/80*n^3+94449623449/16*n^4-7450342429/80*n^5+70565047/80*n^6-\
185997/40*n^7+10*n^8)*p3*p1+864*(-30673452703872+7286831835760*n-9376636058551/
15*n^2+260957379157/10*n^3-3651294859/6*n^4+17085879/2*n^5-2120363/30*n^6+1364/
5*n^7)*p2*p1^2+1728/5*(-246600745185+215631270785/12*n-10933364455/24*n^2+
10500455/2*n^3-640505/24*n^4+445/12*n^5)*p5*p2*p1+288*(-280826864118+
19757725864*n-964974581/2*n^2+5622830*n^3-66565/2*n^4+75*n^5)*p4*p3*p1+54*(-\
44959312+1163840*n-7680*n^2)*p4*p2^2*p1^2+18*(1176480-14400*n)*p4*p2*p1^4+48*(-\
49013424+1562994*n-18234*n^2+72*n^3)*p3^2*p2*p1^2+24*(-68249412+1805256*n-11664
*n^2)*p3*p2^3*p1+24*(3477780-92520*n+720*n^2)*p3*p2^2*p1^3+864/5*(258503190-\
4363920*n+11880*n^2)*p10*p2+864/5*(-12050610+170940*n-660*n^2)*p10*p1^2+576*(-\
5747360925744+14993587202391/20*n-280391173405/8*n^2+1587419779/2*n^3-78794335/
8*n^4+1306499/20*n^5-349/2*n^6)*p3*p2*p1+144*(39697262256-2427427480*n+53506372
*n^2-528176*n^3+1940*n^4)*p3*p2^2*p1+96*(-2692221444+141645132*n-5902263/2*n^2+
31275*n^3-279/2*n^4)*p3*p2*p1^3+108*(283660560-3111480*n+9720*n^2)*p8*p4+864*p5
*p3*p2^2*p1^2-13824*p5*p3^2*p2*p1-4320*p5*p4*p3*p1^2-8640*p5*p4*p2^2*p1+133920*
p5*p4*p3*p2-12096*p6*p3*p2^2*p1+72*(1118880-5040*n)*p6*p4*p1^2+36*(-207648+2016
*n)*p6*p2^2*p1^2+288/5*(-33497250+375525*n-1125*n^2)*p5*p4*p3+54*(-32030208+
377280*n-576*n^2)*p8*p2^2+144/5*(-51450+300*n)*p5*p4*p1^3+192/5*(3257100-47700*
n+180*n^2)*p5*p3^2*p1+144/5*(4021320-44760*n+120*n^2)*p5*p3*p2^2+72/5*(-291300+
1800*n)*p5*p2^3*p1+72/5*(13380-120*n)*p5*p2^2*p1^3+36*(1962000-12000*n)*p4^2*p3
*p1+24*(3920940-39600*n)*p4*p3^2*p2+24*(-112500+720*n)*p4*p3^2*p1^2+32/3*(-\
421200+5184*n)*p3^3*p2*p1+12*(29448-288*n)*p3^2*p2^2*p1^2+192*(-23848605+372240
*n-990*n^2)*p9*p2*p1+144*(-24624432+378216*n-1512*n^2)*p8*p3*p1+108*(1764000-\
24264*n+72*n^2)*p8*p2*p1^2+864/7*(-21757680+197120*n-560*n^2)*p7*p4*p1+576/7*(-\
36008658+476448*n-1176*n^2)*p7*p3*p2+576/7*(1462902-18732*n+84*n^2)*p7*p3*p1^2+
432/7*(2863952-28896*n)*p7*p2^2*p1+288/7*(-84000+672*n)*p7*p2*p1^3+3456/11*(
169591422-3219216*n+12012*n^2)*p11*p1+576/5*(-26286330+342930*n-1470*n^2)*p6*p5
*p1+72*(-33037200+343560*n-840*n^2)*p6*p4*p2+64*(509355-2970*n)*p9*p1^3+864/25*
(1855200-28950*n+150*n^2)*p5^2*p1^2-46656*p8*p1^4+3456/35*(319153590-3847410*n+
14490*n^2)*p7*p5+27/2*(2944000-19200*n)*p4^2*p2^2+32*(-38162124+524664*n-1512*n
^2)*p6*p3^2+12*(3249792-24192*n)*p6*p2^3+864/25*(-37546800+460800*n-1800*n^2)*
p5^2*p2-466560*p4*p2^4+4*(-373896+2592*n)*p3^2*p2^3+62208*p3*p2^4*p1-5184*p3*p2
^3*p1^3-943488*p6*p3*p1^3+5184*p5*p3*p1^4-3240000*p4^2*p2*p1^2-2592*p5*p3*p2^3+
43200*p5*p4^2*p1-10368*p5^2*p2*p1^2+155520*p5^2*p3*p1+60480*p6*p4*p2^2+96768*p6
*p3^2*p2+110592*p7*p3^2*p1+103680*p7*p3*p2^2-2298240*p6*p5*p3+95040*p9*p3*p1^2+
190080*p9*p2^2*p1-4230144*p8*p5*p1-2138400*p8*p4*p2+38880*p8*p4*p1^2-7776*p8*p2
^2*p1^2-2419200*p7*p6*p1-3006720*p7*p5*p2+145152*p7*p5*p1^2-1278720*p7*p4*p3-\
7547904*p11*p2*p1-4790016*p10*p3*p1+228096*p10*p2*p1^2-1900800*p9*p4*p1-4086720
*p9*p3*p2+338688*p6*p5*p2*p1-1492992*p8*p3^2+29082240*p10*p4+144*(571466022-\
17618160*n+177540*n^2-600*n^3)*p4*p3*p2*p1+58496256*p11*p3+432/5*(2834150-29200
*n+100*n^2)*p5*p4*p2*p1+96*(3217788-44478*n+126*n^2)*p6*p3*p2*p1+36*(-300240+
2400*n)*p4*p3*p2^2*p1+288/5*(-247620+3615*n-15*n^2)*p5*p3*p2*p1^2-13824*p7*p3*
p2*p1^2+40487040*p9*p5+60480*p6*p4*p3*p1+138240*p7*p4*p2*p1+33312384*p8*p6-\
2166912*p10*p2^2-1354752*p6^2*p2+129600*p4*p2^3*p1^2-302400*p6*p4^2-855360*p5^2
*p4+435456*p8*p3*p2*p1-1205591040*p14+434801167570944/5*n^6-7111585474301952/5*
n^5+303723862272/5*n^8-15037411359744/5*n^7+25477632/5*n^10-3652881408/5*n^9-\
82944/5*n^11+1728/25*(48937143150-3814565425/2*n+81332175/4*n^2-204275/2*n^3+
825/4*n^4)*p5^2+432*(160366949870208-246613881512454/5*n+15949786966123/3*n^2-\
3991536339704/15*n^3+20774740409/3*n^4-1496989558/15*n^5+800756*n^6-14592/5*n^7
)*p2^2+9*(-23376000+144000*n)*p4^3+9*(49041920832-2805172992*n+52278912*n^2-\
345600*n^3)*p2^4+576*(-92709287831160+100182933024531/5*n-3026763126695/2*n^2+
206206794479/4*n^3-3432356011/4*n^4+142535281/20*n^5-110299/4*n^6+35*n^7)*p6+72
*(-7294852711536+4655134482736/5*n-41869985436*n^2+875983336*n^3-9189132*n^4+
206064/5*n^5)*p2^3+864*(-353748865317120+145528119399013*n-63119352941822/3*n^2
+16874209142647/12*n^3-576274616717/12*n^4+10515044581/12*n^5-104553515/12*n^6+
137554/3*n^7-100*n^8)*p4+23328*p8*p2^3+98703360*p13*p1+82555200*p12*p2-2358720*
p12*p1^2+288*(-1841177520+40237470*n-139230*n^2)*p12+1728/5*(-194498183880+
11211105070*n-370190205/2*n^2+1007435*n^3-2805/2*n^4)*p10+14432256*p7^2+24/5*(
4692671280-270559440*n+4793040*n^2-30240*n^3)*p1^6+48*(325585008-3824352*n+
14112*n^2)*p6^2+192*(36487227148344-29781141739089/5*n+1337949644079/4*n^2-\
67834358889/8*n^3+886961997/8*n^4-32979783/40*n^5+25509/8*n^6-9/2*n^7)*p3^2+16/
9*(4867776-62208*n)*p3^4+108*(2327214918480-590314863320/3*n+5238454560*n^2-\
169021000/3*n^3+298200*n^4-600*n^5)*p4^2+432*(-7194686859360+833344790478*n-\
31965149604*n^2+1016906277/2*n^3-6999303/2*n^4+18327/2*n^5-9/2*n^6)*p8+9/10*(-\
69984000+1244160*n)*p2^5+1728*(-250115517187200+1123395682819274/5*n-\
1006417921735982/15*n^2+270013321438913/30*n^3-18455949583603/30*n^4+
137412654415/6*n^5-14519413261/30*n^6+89557396/15*n^7-211462/5*n^8+696/5*n^9)*
p2+144*(4816960933248-4542602689986/5*n+63329243265*n^2-2213059743*n^3+45035742
*n^4-2907849/5*n^5+4641*n^6-18*n^7)*p1^4+1728*(117230361091200-368756060239754/
5*n+237061569050378/15*n^2-47033573197081/30*n^3+2467766930309/30*n^4-\
74475799153/30*n^5+1382207459/30*n^6-8188817/15*n^7+59138/15*n^8-68/5*n^9)*p1^2
[6, 4, 3, 2, 2, 2, 2]
1159406216809021440*n+248832*p3*p2^3*p1^3-1306368*p3*p2^4*p1-6912*p3*p2^2*p1^5+
1152*(-145102030104+17728361665/2*n-363538077/2*n^2+1547723*n^3-4443*n^4)*p3*p2
^2*p1-6635520*p7*p4*p2*p1+6912/5*(20448258240-1482364925/2*n+14298625/2*n^2-\
25925*n^3+25*n^4)*p5*p4*p1-1761177600*p12*p2+4608/5*(18435799010-1726404100/3*n
+5274085*n^2-50270/3*n^3+15*n^4)*p5*p3*p2+4608/5*(-2525057840+179658625/2*n-\
3828365/4*n^2+7225/2*n^3-15/4*n^4)*p5*p3*p1^2+3456/5*(-2110291200+126047975/2*n
-1008125/2*n^2+865*n^3)*p5*p2^2*p1+2304/5*(254828840-48872825/6*n+149645/2*n^2-\
485/3*n^3)*p5*p2*p1^3+13824/7*(15758160180-613901554*n+6536782*n^2-19516*n^3)*
p7*p2*p1+256/3*(1407888-12096*n)*p3^3*p2*p1+96*(-130392+864*n)*p3^2*p2^2*p1^2+
32*(15588-144*n)*p3^2*p2*p1^4+13824/5*(896530101030-68580524295*n+10382851535/6
*n^2-53510855/3*n^3+450445/6*n^4-220/3*n^5)*p5*p2*p1+152064*p10*p1^4+2304*(
1044774400920-157234553099/2*n+3889486001/2*n^2-20054365*n^3+94530*n^4-150*n^5)
*p4*p3*p1+39688704*p10*p2^2-941276160*p10*p4+192*(232411446-5599530*n+30294*n^2
)*p3*p2^3*p1+192*(-28854540+768144*n-4824*n^2)*p3*p2^2*p1^3+192/5*(2483730-\
68490*n+510*n^2)*p3*p2*p1^5+384*(296096040-8976033*n+79329*n^2-180*n^3)*p3^2*p2
*p1^2-10063872*p11*p1^3+256/9*(-218376+2592*n)*p3^3*p1^3+384*(296497476-9710250
*n+97590*n^2-300*n^3)*p4*p3*p1^3+32*(778572-3888*n)*p3^2*p2^3+432*(252410096-\
6836160*n+44160*n^2)*p4*p2^2*p1^2+144*(-25705896+701080*n-4920*n^2)*p4*p2*p1^4+
1536*(19118907024-726636015*n+15494241/2*n^2-29589*n^3+63/2*n^4)*p6*p3*p1+1152*
(-2120132280+75285994*n-750582*n^2+1988*n^3)*p6*p2*p1^2+6912/7*(127583400-\
1505560*n+3080*n^2)*p7*p4*p1+4608/7*(99101240-1149078*n+2142*n^2)*p7*p3*p2+4608
/7*(-15620864+224294*n-462*n^2)*p7*p3*p1^2+3456/7*(-10497144+99792*n)*p7*p2^2*
p1+2304/7*(1307936-15456*n)*p7*p2*p1^3+4608/5*(135576000-1639995*n+4935*n^2)*p6
*p5*p1+576*(97775160-1021860*n+2100*n^2)*p6*p4*p2+9216/7*(-133556678640+
16159362758/3*n-57194424*n^2+653464/3*n^3-210*n^4)*p7*p3+576*(-14948640+176820*
n-420*n^2)*p6*p4*p1^2+256*(1709316-25011*n+63*n^2)*p6*p3*p1^3+288*(1191120-\
10080*n)*p6*p2^2*p1^2+4608/7*(-1921951080+235615898/3*n-962682*n^2+10780/3*n^3)
*p7*p1^3+96*(-117768+1344*n)*p6*p2*p1^4+2304/5*(107352400-2231125/2*n+3625/2*n^
2)*p5*p4*p3+1152*(-148214946600+5716280010*n-54219060*n^2+200340*n^3-210*n^4)*
p6*p4+1152/5*(1423900-15650*n+50*n^2)*p5*p4*p1^3+1536/5*(-15103440+176850*n-330
*n^2)*p5*p3^2*p1+1152/5*(-9515360+177135/2*n-315/2*n^2)*p5*p3*p2^2+576/5*(-\
118580+840*n)*p5*p2^2*p1^3+576/25*(8950-100*n)*p5*p2*p1^5+288*(-13377600+129600
*n)*p4^2*p3*p1+216*(1212800-9600*n)*p4^2*p2*p1^2+192*(-10196820+85200*n)*p4*p3^
2*p2+576*(15841408632-507658578*n+4407186*n^2-9912*n^3)*p6*p2^2+1536*(102250170
-1475595*n+2475*n^2)*p9*p2*p1+1152*(125048880-1786428*n+3852*n^2)*p8*p3*p1+192*
(227317272-8034474*n+89250*n^2-336*n^3)*p6*p1^4+4608*(18348643865388-\
37639600689778/15*n+726370543301/6*n^2-32262787765/12*n^3+360841373/12*n^4-\
3370941/20*n^5+1379/4*n^6)*p3*p2*p1+768*(18174332856-2237764633/2*n+48722587/2*
n^2-229717*n^3+766*n^4)*p3*p2*p1^3-899942400*p8*p6-948879360*p9*p5+1728*(-\
134899778096+27456999218/3*n-210817230*n^2+6077680/3*n^3-7120*n^4)*p4*p2*p1^2+
144*(-1861848792+46022040*n-268920*n^2)*p4*p2^3+48/5*(1144800-14400*n)*p4*p1^6+
512/3*(-2685791088+84249882*n-804762*n^2+2376*n^3)*p3^3*p1+192*(-2085877548+
55715649*n-422073*n^2+756*n^3)*p3^2*p2^2+64*(-32429556+1062909*n-11349*n^2+36*n
^3)*p3^2*p1^4+3072*(-95204672640+9836505855/2*n-72051210*n^2+297000*n^3-495/2*n
^4)*p9*p1+1152*p5*p3*p2*p1^4-20736*p5*p3*p2^2*p1^2+258048*p5*p3^2*p2*p1+1728*(-\
108018451200+4563510160*n-51645432*n^2+173024*n^3-72*n^4)*p8*p2-23040*p5*p4*p2*
p1^3+207360*p5*p4*p2^2*p1+483840*p5*p4*p3*p1^2-2154240*p5*p4*p3*p2-32256*p6*p3*
p2*p1^3+290304*p6*p3*p2^2*p1+483840*p6*p4*p2*p1^2+1728*(14173296000-655443996*n
+8864790*n^2-34908*n^3+18*n^4)*p8*p1^2-6773760*p6*p4*p3*p1-10450944*p6*p5*p2*p1
+663552*p7*p3*p2*p1^2+192*(1744920-18720*n)*p4*p3^2*p1^2+576/5*(879570-4860*n)*
p5*p2^3*p1+384/5*(-148680+4275/2*n-15/2*n^2)*p5*p3*p1^4+864*(-12411264+163524*n
-180*n^2)*p8*p2*p1^2+3456*(14320096669120-6321586158238/3*n+336512504285/3*n^2-\
8436325846/3*n^3+107800591/3*n^4-689644/3*n^5+580*n^6)*p4*p1^2+1536*(-\
2652315001896+3338540692419/10*n-62261925699/4*n^2+352697545*n^3-16949525/4*n^4
+261821/10*n^5-61*n^6)*p3*p1^3+1728*(-2966661210816+5244674149336/15*n-\
15002106078*n^2+915286504/3*n^3-3113366*n^4+67108/5*n^5)*p2^2*p1^2+576*(
406008110544-667181220256/15*n+5497169446/3*n^2-111195604/3*n^3+1166342/3*n^4-\
8808/5*n^5)*p2*p1^4+9216*(-340399625277600+326435881410163/3*n-1481027961541261
/120*n^2+157665614717263/240*n^3-291916248197/16*n^4+4447426509/16*n^5-\
565921633/240*n^6+420397/40*n^7-139/8*n^8)*p3*p1+2304*(-5402707681560+
471145568866*n-12994302405*n^2+141092014*n^3-642495*n^4+868*n^5)*p6*p2+2304*(
717574253760-61642929908*n+1816664626*n^2-22784426*n^3+118370*n^4-182*n^5)*p6*
p1^2+9216/5*(-6580273456200+1125766915445/2*n-359068924475/24*n^2+7460686285/48
*n^3-36845525/48*n^4+74195/48*n^5-15/16*n^6)*p5*p3+4608/5*(-114700648440+
17215630955/2*n-2707740985/12*n^2+7754170/3*n^3-150035/12*n^4+85/6*n^5)*p5*p1^3
+864*(1034419177280-68476261554*n+1449625774*n^2-12625800*n^3+40020*n^4)*p4*p2^
2+288*(16250949504-1063273026*n+24651574*n^2-253160*n^3+1020*n^4)*p4*p1^4+27648
/7*(-4066913100600+402581958079*n-40061866313/3*n^2+547563898/3*n^3-2997610/3*n
^4+5432/3*n^5)*p7*p1+36*(-22517568+404352*n)*p2^4*p1^2+24*(2368800-44928*n)*p2^
3*p1^4+24/5*(-154080+2880*n)*p2^2*p1^6+1152/25*(-21450200+1246875/2*n-12625/2*n
^2+25*n^3)*p5*p1^5+432*(18858554000-557996400*n+4675600*n^2-12000*n^3)*p4^2*p2+
432*(-2563984160+85973600*n-804800*n^2+2400*n^3)*p4^2*p1^2+384*(20580248340-\
618878955*n+5615475*n^2-16620*n^3)*p4*p3^2+768*(1137156322260-74652489841*n+
1590706687*n^2-14873612*n^3+60902*n^4-72*n^5)*p3^2*p2+768*(-149138366832+
10161883968*n-481449405/2*n^2+2545917*n^3-24177/2*n^4+18*n^5)*p3^2*p1^2+384/5*(
-2002501440+233069445/2*n-5046165/2*n^2+25755*n^3-105*n^4)*p3*p1^5+288*(
17598174576-979206300*n+18088308*n^2-117000*n^3)*p2^3*p1^2+144*(-2027780256+
109985288*n-2061960*n^2+14048*n^3)*p2^2*p1^4+96/5*(187634640-9026820*n+157740*n
^2-1080*n^3)*p2*p1^6+27648/5*(-65808496699680+23233200388157/2*n-17385510834635
/24*n^2+330302714855/16*n^3-13882501535/48*n^4+94656077/48*n^5-93985/16*n^6+95/
24*n^7)*p5*p1+3456*(-92753273323200+45879873233060/3*n-855095926718*n^2+
62276345273/3*n^3-238550763*n^4+4126895/3*n^5-3155*n^6)*p4*p2+27648/35*(-\
1036106400+11847045*n-32025*n^2)*p7*p5+1152/35*(-60200+560*n)*p7*p1^5+27648/11*
(-842641800+17315298*n-42042*n^2)*p11*p1+6912/5*(-758135400+11748990*n-23430*n^
2)*p10*p2+6912/5*(109472000-2080430*n+4950*n^2)*p10*p1^2+1024*(-907295400+
25808805/2*n-58905/2*n^2)*p9*p3+6912*(91491906973440-115647753548192/5*n+
32006172573121/15*n^2-573887092441/6*n^3+13978381591/6*n^4-969656173/30*n^5+
7517123/30*n^6-873*n^7)*p2*p1^2+108*(-8121600+57600*n)*p4^2*p2^2+256*(111744360
-1281924*n+2772*n^2)*p6*p3^2+96*(-7830648+54432*n)*p6*p2^3+8398080*p4*p2^4+6912
/25*(102216100-1131375*n+3075*n^2)*p5^2*p2+6912/25*(-15689800+196975*n-675*n^2)
*p5^2*p1^2+512*(-12386880+208395*n-495*n^2)*p9*p1^3+864*(-963264000+11268060*n-\
23820*n^2)*p8*p4+432*(83947200-907236*n+756*n^2)*p8*p2^2+144*(1109376-15444*n+
36*n^2)*p8*p1^4+69120*p4*p3*p1^5-4976640*p4*p2^3*p1^2+31104*p5*p3*p2^3-18432*p5
*p3^2*p1^3-4423680*p5^2*p3*p1+414720*p5^2*p2*p1^2-2073600*p5*p4^2*p1-1806336*p6
*p3^2*p2+387072*p6*p3^2*p1^2+451584*p6*p5*p1^3-1451520*p6*p4*p2^2+51222528*p6*
p5*p3-1741824*p7*p3*p2^2-9216*p7*p3*p1^4+580608*p8*p3*p1^3+186624*p8*p2^2*p1^2-\
10368*p8*p2*p1^4+143990784*p7*p6*p1+60880896*p7*p5*p2-10285056*p7*p5*p1^2+
40458240*p7*p4*p3+184320*p7*p4*p1^3-4718592*p7*p3^2*p1+241532928*p11*p2*p1+
217755648*p10*p3*p1-14598144*p10*p2*p1^2+136857600*p9*p4*p1+75525120*p9*p3*p2-\
15206400*p9*p3*p1^2-4561920*p9*p2^2*p1+506880*p9*p2*p1^3+148303872*p8*p5*p1+
49248000*p8*p4*p2-8087040*p8*p4*p1^2-55296*p3*p1^7-2028138272538918912*n^2+
288562884673536/5*n^7-5451679199232/5*n^8+11835182592*n^9-370027008/5*n^10+
1078272/5*n^11+2304/5*(1535800-35015/2*n+75/2*n^2)*p5*p3*p2*p1^2+3456/5*(-\
12111150+124550*n-250*n^2)*p5*p4*p2*p1+768*(-12989676+151095*n-315*n^2)*p6*p3*
p2*p1+1152*(-2399439258+71951200*n-622440*n^2+1500*n^3)*p4*p3*p2*p1+241920*p4*
p2^2*p1^4-5419008*p6^2*p1^2+14515200*p6*p4^2-10616832*p8*p3*p2*p1-279936*p8*p2^
3-1408942080*p11*p3+301916160*p12*p1^2+17902080*p5^2*p4+192*(-138600+1200*n)*p4
*p3*p2*p1^3+288*(1039920-7200*n)*p4*p3*p2^2*p1-368640*p5*p3^3+29859840*p8*p3^2-\
6912*p5^2*p1^4-4737761280*p13*p1-1057536*p5^2*p2^2+32514048*p6^2*p2-431308800*
p7^2-2419200*p4^2*p1^4+6912*(934406338756800-1165443630921820/3*n+
339105373237693/6*n^2-45122669553415/12*n^3+1500162131165/12*n^4-25592953169/12
*n^5+225841259/12*n^6-260054/3*n^7+325/2*n^8)*p4+2304*(5925628800-127294440*n+
316680*n^2)*p12+13824/5*(597888891600-102853463570/3*n+531832840*n^2-6805480/3*
n^3+2310*n^4)*p10+13824/25*(-153844198200+17713026625/3*n-55591425*n^2+659750/3
*n^3-300*n^4)*p5^2+3456*(21007200614400-2441205692520*n+91812164023*n^2-\
2706912569/2*n^3+15459625/2*n^4-31831/2*n^5+9/2*n^6)*p8+24/35*(-8628480+161280*
n)*p1^8+72*(97200000-864000*n)*p4^3+13824*(634934707344000-575695227850920*n+
520493448702865/3*n^2-350763767002103/15*n^3+95334830046149/60*n^4-863960160698
/15*n^5+6874189439/6*n^6-192247772/15*n^7+1635387/20*n^8-1209/5*n^9)*p2+1152*(-\
17176571925120+55635298883864/15*n-4558276362206/15*n^2+188848107664/15*n^3-\
295034434*n^4+20451012/5*n^5-488584/15*n^6+592/5*n^7)*p1^4+13824*(-\
304879462272000+196886915059704*n-218440877393543/5*n^2+13594154840053/3*n^3-\
15028636792933/60*n^4+238229769589/30*n^5-4530670487/30*n^6+5260003/3*n^7-\
716377/60*n^8+377/10*n^9)*p1^2-1257388483772648448/5*n^4+5466689962167693312/5*
n^3+32149094400*p14-8623971171850752/5*n^6+28539920282770944*n^5+128/9*(-\
11845440+103680*n)*p3^4+192/5*(-52043682720+5190914040*n-197720190*n^2+3789480*
n^3-39030*n^4+180*n^5)*p1^6+864*(-6972702952000+591530732380*n-15364130260*n^2+
151091200*n^3-701800*n^4+1200*n^5)*p4^2+36/5*(167417280-2799360*n)*p2^5+3456*(-\
431636314391040+402351339177848/3*n-72333665122048/5*n^2+10663183504279/15*n^3-\
17580790847*n^4+695456525/3*n^5-8419217/5*n^6+27612/5*n^7)*p2^2+576*(
20867744714352-13146370550304/5*n+113442311082*n^2-2200832844*n^3+21092634*n^4-\
427896/5*n^5)*p2^3+1536*(-103426479955560+16979820019365*n-3762580749639/4*n^2+
180187920169/8*n^3-2063169677/8*n^4+12733571/8*n^5-37981/8*n^6+9/2*n^7)*p3^2+
4608*(256955263765200-56007986999790*n+8443138881989/2*n^2-560446296907/4*n^3+
8656219327/4*n^4-61919137/4*n^5+200095/4*n^6-49*n^7)*p6+72*(-135498120768+
7305364944*n-127180368*n^2+772416*n^3)*p2^4+384*(-1059035040+11974032*n-35280*n
^2)*p6^2
[6, 4, 2, 2, 2, 2, 2, 2]
-24094994838446407680*n-9216*p3*p2*p1^7+298598400*p7*p4*p2*p1+323481600*p8*p3*
p2*p1+36864*(-122591448+1472205*n-3465*n^2)*p6*p5*p1+23040*(-69306720+721980*n-\
1260*n^2)*p6*p4*p2+46080*(-104691456+1328340*n-2340*n^2)*p8*p3*p1+34560*(
14860968-194076*n+108*n^2)*p8*p2*p1^2+276480/7*(-114476460+1330560*n-2520*n^2)*
p7*p4*p1+184320/7*(-66189816+704214*n-1134*n^2)*p7*p3*p2+184320/7*(17581872-\
223146*n+378*n^2)*p7*p3*p1^2+61440*(-91545795+1317195*n-1485*n^2)*p9*p2*p1+
499737600*p8*p4*p1^2+11520*(10713400-90000*n)*p4^2*p3*p1+8640*(-1567200+14400*n
)*p4^2*p2*p1^2+3072*(407325-10655/2*n+15/2*n^2)*p5*p3*p1^4+4608*(-699975+3510*n
)*p5*p2^3*p1+4608*(160725-990*n)*p5*p2^2*p1^3+4608/5*(-32375+270*n)*p5*p2*p1^5+
12288*(11214348-110062*n+150*n^2)*p5*p3^2*p1+9216*(6156993-104175/2*n+135/2*n^2
)*p5*p3*p2^2+9216*(-2954775+37300*n-50*n^2)*p5*p4*p1^3+18432*(-67308675+1239125
/2*n-1525/2*n^2)*p5*p4*p3+11520*(-1319472+10584*n)*p6*p2^2*p1^2+3840*(296520-\
3024*n)*p6*p2*p1^4+23040*(19052040-233100*n+420*n^2)*p6*p4*p1^2+10240*(-2790522
+36183*n-63*n^2)*p6*p3*p1^3+138240/7*(9322236-86184*n)*p7*p2^2*p1+92160/7*(-\
2223900+25704*n)*p7*p2*p1^3+110592*(-651355662522+623509126003/12*n-10705216369
/8*n^2+40193057/3*n^3-410095/8*n^4+155/4*n^5)*p5*p2*p1+92160*(-753366567549+
351975116375/6*n-1452957570*n^2+41858075/3*n^3-117125/2*n^4+75*n^5)*p4*p3*p1+
69120*(117227923492-8536021134*n+204473332*n^2-1907620*n^3+6150*n^4)*p4*p2*p1^2
+46080*(110843499667-13845494361/2*n+277986615/2*n^2-1095213*n^3+2664*n^4)*p3*
p2^2*p1+30720*(-19433969055+2604937349/2*n-29096283*n^2+252810*n^3-1371/2*n^4)*
p3*p2*p1^3+184320*(-11909278835265+20362310722883/12*n-678227180905/8*n^2+
5714948056/3*n^3-164479659/8*n^4+423679/4*n^5-363/2*n^6)*p3*p2*p1+552960/7*(-\
12858082230+514335402*n-5318586*n^2+13356*n^3)*p7*p2*p1+61440*(-15277628142+
1160266681/2*n-22454481/4*n^2+36407/2*n^3-63/4*n^4)*p6*p3*p1+46080*(2202933768-\
82386402*n+785694*n^2-1596*n^3)*p6*p2*p1^2+55296*(-16616894973+3696742165/6*n-\
5670285*n^2+55900/3*n^3-25/2*n^4)*p5*p4*p1+36864*(-12339220404+1491170983/4*n-\
25006931/8*n^2+33505/4*n^3-45/8*n^4)*p5*p3*p2+36864*(2567142018-1120183379/12*n
+7120657/8*n^2-32125/12*n^3+15/8*n^4)*p5*p3*p1^2+27648*(1795665679-107828727/2*
n+811605/2*n^2-525*n^3)*p5*p2^2*p1+18432*(-355669503+24604193/2*n-211595/2*n^2+
145*n^3)*p5*p2*p1^3+15360*(-404683515+13972310*n-127560*n^2+300*n^3)*p4*p3*p1^3
+17280*(-273226812+7546680*n-47880*n^2)*p4*p2^2*p1^2+5760*(52563284-1652160*n+
12000*n^2)*p4*p2*p1^4+15360*(-295771680+8410455*n-64143*n^2+108*n^3)*p3^2*p2*p1
^2+7680*(-190271403+4358934*n-21060*n^2)*p3*p2^3*p1+7680*(38071521-978444*n+
5454*n^2)*p3*p2^2*p1^3+1536*(-6957459+202182*n-1332*n^2)*p3*p2*p1^5+10240/3*(-\
984420+6480*n)*p3^3*p2*p1+3840*(118962-648*n)*p3^2*p2^2*p1^2+1280*(-28854+216*n
)*p3^2*p2*p1^4+7680*(6233490-43560*n)*p4*p3^2*p2+7680*(-1699830+14520*n)*p4*p3^
2*p1^2+768*(-51300+600*n)*p4*p3*p1^5-69120*p5*p3*p2*p1^4+622080*p5*p3*p2^2*p1^2
-5529600*p5*p3^2*p2*p1+1382400*p5*p4*p2*p1^3-6220800*p5*p4*p2^2*p1-14054400*p5*
p4*p3*p1^2+42163200*p5*p4*p3*p2+1935360*p6*p3*p2*p1^3-8709120*p6*p3*p2^2*p1-\
29030400*p6*p4*p2*p1^2+196761600*p6*p4*p3*p1+383201280*p6*p5*p2*p1-29859840*p7*
p3*p2*p1^2+20480*(21516165-411345*n+495*n^2)*p9*p1^3+34560*(656049240-7334940*n
+14460*n^2)*p8*p4+17280*(-60025896+631044*n-324*n^2)*p8*p2^2+5760*(-3363336+
59268*n-36*n^2)*p8*p1^4+256*(-56448+840*n)*p6*p1^6+55296/5*(-71994300+781515*n-\
1575*n^2)*p5^2*p2+221184/7*(711152190-7933485*n+19005*n^2)*p7*p5+9216/7*(473340
-7560*n)*p7*p1^5+10240*(-67970196+685020*n-1260*n^2)*p6*p3^2+3840*(5393304-\
36288*n)*p6*p2^3+1105920/11*(728491764-15245230*n+30030*n^2)*p11*p1+55296*(
531831300-8198190*n+12870*n^2)*p10*p2+55296*(-128268140+2595450*n-4290*n^2)*p10
*p1^2+40960*(595893375-15291045/2*n+29205/2*n^2)*p9*p3+4320*(5860800-43200*n)*
p4^2*p2^2-223948800*p4*p2^4+1440*(404800-4800*n)*p4^2*p1^4+1536/35*(4725-70*n)*
p5*p1^7+55296/5*(19954200-253365*n+525*n^2)*p5^2*p1^2-20736000*p4*p2^2*p1^4+
122880*(73382429043-3936132585*n+230737815/4*n^2-417285/2*n^3+495/4*n^4)*p9*p1+
69120*(71970162264-3048660642*n+33670965*n^2-99390*n^3+27*n^4)*p8*p2+69120*(-\
13623440952+680555534*n-9429495*n^2+30418*n^3-9*n^4)*p8*p1^2+368640/7*(
87090242904-3430818237*n+67016775/2*n^2-112245*n^3+189/2*n^4)*p7*p3+184320/7*(
2434833450-112619010*n+1444002*n^2-3948*n^3)*p7*p1^3+46080*(97524426384-\
3728409860*n+33725685*n^2-116410*n^3+105*n^4)*p6*p4+23040*(-10948885752+
350885682*n-2905434*n^2+5544*n^3)*p6*p2^2+7680*(-413018424+17560970*n-204330*n^
2+448*n^3)*p6*p1^4+9216/5*(65105835-15135805/6*n+52045/2*n^2-115/3*n^3)*p5*p1^5
+256/3*(6498-72*n)*p3^2*p1^6+205286400*p4*p2^3*p1^2+10240/9*(259740-2160*n)*p3^
3*p1^3+1280*(-467046+1944*n)*p3^2*p2^3-1801543680*p7*p5*p2+600514560*p7*p5*p1^2
-1011916800*p7*p4*p3-33177600*p7*p4*p1^3+132710400*p7*p3^2*p1-9057484800*p11*p2
*p1-6484008960*p10*p3*p1+711659520*p10*p2*p1^2-5018112000*p9*p4*p1-1794355200*
p9*p3*p2+598118400*p9*p3*p1^2+136857600*p9*p2^2*p1-30412800*p9*p2*p1^3+414720*
p4*p2*p1^6-5506154496*p8*p5*p1-1499212800*p8*p4*p2+768*(-471551592+29303284*n-\
603348*n^2+4224*n^3)*p2*p1^6+221184*(40796220283161-149400716681379/20*n+
8707631539897/18*n^2-681997197943/48*n^3+28744870073/144*n^4-309530527/240*n^5+
498695/144*n^6-15/8*n^7)*p5*p1+138240*(55018280967636-27597280407877/3*n+
1036765139915/2*n^2-37604949515/3*n^3+280879741/2*n^4-767664*n^5+1620*n^6)*p4*
p2+138240*(-9809636760868+1538880444273*n-525003456935/6*n^2+6948394916/3*n^3-\
180576031/6*n^4+546409/3*n^5-415*n^6)*p4*p1^2+61440*(2072783719881-\
1142664321007/4*n+116427103311/8*n^2-1407614183/4*n^3+33993703/8*n^4-47865/2*n^
5+181/4*n^6)*p3*p1^3+69120*(2184536289320-1379969093724/5*n+12600504566*n^2-\
265536620*n^3+2678106*n^4-55176/5*n^5)*p2^2*p1^2+23040*(-375955148664+
697840187284/15*n-2156101194*n^2+143007712/3*n^3-515222*n^4+11252/5*n^5)*p2*p1^
4+368640*(194926771192734-1280439963931677/20*n+89869995445751/12*n^2-\
19761397911965/48*n^3+563381456077/48*n^4-14350065747/80*n^5+23330569/16*n^6-\
143153/24*n^7+33/4*n^8)*p3*p1+276480*(-55548675534672+73672403367964/5*n-\
21556299608579/15*n^2+2048608854769/30*n^3-3495965767/2*n^4+744787991/30*n^5-\
5673017/30*n^6+3156/5*n^7)*p2*p1^2+36864*(111426101772-37379414463/4*n+
6453410497/24*n^2-18959387/6*n^3+317855/24*n^4-125/12*n^5)*p5*p1^3+34560*(-\
672939673644+44965907466*n-944765106*n^2+7907520*n^3-23400*n^4)*p4*p2^2+11520*(
-20136277644+4606490806/3*n-40376594*n^2+1291760/3*n^3-1520*n^4)*p4*p1^4+30720*
(-728987312202+94954333883/2*n-3878877969/4*n^2+16576401/2*n^3-116787/4*n^4+27*
n^5)*p3^2*p2+30720*(127741364670-18362451909/2*n+869969971/4*n^2-4142111/2*n^3+
32761/4*n^4-9*n^5)*p3^2*p1^2+3072*(3321364095-462720265/2*n+11147463/2*n^2-\
54053*n^3+164*n^4)*p3*p1^5+11520*(-16489390104+963084924*n-17816220*n^2+110592*
n^3)*p2^3*p1^2+5760*(2844961024-173876760*n+3445320*n^2-22800*n^3)*p2^2*p1^4+
17280*(-12804243480+374421600*n-3009600*n^2+7200*n^3)*p4^2*p2+17280*(2683157960
-95658800*n+873200*n^2-2400*n^3)*p4^2*p1^2+15360*(-13243186740+369134075*n-\
2983455*n^2+7260*n^3)*p4*p3^2+5760*(1312729956-32058720*n+181440*n^2)*p4*p2^3+
384*(-9186828+319640*n-2760*n^2)*p4*p1^6+20480/3*(2071526220-58926942*n+480078*
n^2-1080*n^3)*p3^3*p1+7680*(1378620972-34381809*n+229365*n^2-324*n^3)*p3^2*p2^2
+2560*(58969572-1956993*n+17517*n^2-36*n^3)*p3^2*p1^4+512/7*(1121673-36372*n+
294*n^2)*p3*p1^7+1440*(22599648-393984*n)*p2^4*p1^2+960*(-4022352+75168*n)*p2^3
*p1^4+192*(610704-12096*n)*p2^2*p1^6+96/7*(-66528+1344*n)*p2*p1^8+1105920/7*(
2790829682802-288231537720*n+19758309963/2*n^2-134872332*n^3+1357839/2*n^4-1029
*n^5)*p7*p1+92160*(3395439622008-299033856940*n+8234877840*n^2-87117968*n^3+
367248*n^4-420*n^5)*p6*p2+92160*(-574371170688+53205692162*n-1670547501*n^2+
21290759*n^3-99099*n^4+119*n^5)*p6*p1^2+73728*(4107726185535-1408754963505/4*n+
110169242093/12*n^2-4290910639/48*n^3+19130197/48*n^4-32285/48*n^5+5/16*n^6)*p5
*p3+1536*p5*p3*p1^6+614400*p5*p3^2*p1^3-622080*p5*p3*p2^3+105283584*p5^2*p3*p1-\
17418240*p5^2*p2*p1^2+48384000*p5*p4^2*p1-46080*p5*p4*p1^5+1612800*p6*p4*p1^4+
38707200*p6*p3^2*p2-12902400*p6*p3^2*p1^2-64512*p6*p3*p1^5-42577920*p6*p5*p1^3+
43545600*p6*p4*p2^2-1131798528*p6*p5*p3+44789760*p7*p3*p2^2+1658880*p7*p3*p1^4-\
35942400*p8*p3*p1^3-5598720*p8*p2^2*p1^2+622080*p8*p2*p1^4-5898977280*p7*p6*p1-\
11197440*p3*p2^3*p1^3+37324800*p3*p2^4*p1+663552*p3*p2^2*p1^5+
42318234143752126464*n^2-609213894561275904*n^5+36948009413763072*n^6-\
1232102692159488*n^7+22933279899648*n^8+30720*(10745322-114345*n+189*n^2)*p6*p3
*p2*p1+27648*(11010485-114600*n+150*n^2)*p5*p4*p2*p1+1006387200*p11*p1^3+
33814609920*p11*p3-39536640*p10*p1^4+5598720*p8*p2^3-663552000*p8*p3^2+
180034928640*p13*p1-13824*p8*p1^6+6144000*p5*p3^3-338688000*p6*p4^2+967680*p5^2
*p1^4+92160*(-3999799440+84837480*n-185640*n^2)*p12+184320*(-148719876144840+
164122665530628/5*n-14963520855451/6*n^2+330602057793/4*n^3-15023075039/12*n^4+
170168943/20*n^5-301763/12*n^6+21*n^7)*p6+1536*(64521754776-38882154736/5*n+
358983304*n^2-8075056*n^3+90392*n^4-2064/5*n^5)*p1^6+276480*(-516346627600440+
217397704095467*n-287954780607376/9*n^2+25735633808785/12*n^3-2564451292033/36*
n^4+14348261251/12*n^5-364743187/36*n^6+131362/3*n^7-75*n^8)*p4+110592*(-\
384573309120+22060883845*n-669766955/2*n^2+1306305*n^3-2145/2*n^4)*p10+110592/5
*(101332724220-7720962445/2*n+138788055/4*n^2-252245/2*n^3+525/4*n^4)*p5^2+
34560*(4359142219320-1114949541860/3*n+9533122980*n^2-268129000/3*n^3+389400*n^
4-600*n^5)*p4^2+2880*(92158390224-5002610976*n+85421952*n^2-497664*n^3)*p2^4+
192/7*(74002992-4546192*n+93968*n^2-672*n^3)*p1^8+23040*(-12784283518440+
8193810671712/5*n-71495696556*n^2+1383400080*n^3-12896388*n^4+250128/5*n^5)*p2^
3+61440*(61221160272636-10166392752804*n+2256242173595/4*n^2-106002829023/8*n^3
+1145425435/8*n^4-6423885/8*n^5+16327/8*n^6-3/2*n^7)*p3^2+46080*(11697587965152
-13736962523738/5*n+3715721595587/15*n^2-170288353139/15*n^3+291924196*n^4-\
64760521/15*n^5+525493/15*n^6-622/5*n^7)*p1^4+138240*(243100328127552-\
1150849101361234/15*n+41936910093657/5*n^2-6236430992876/15*n^3+10285388259*n^4
-668585122/5*n^5+4694628/5*n^6-14688/5*n^7)*p2^2+552960*(165612721402800-\
547093144919046/5*n+1125645939365368/45*n^2-48489433930037/18*n^3+7007586322321
/45*n^4-465937331923/90*n^5+9216996629/90*n^6-10874941/9*n^7+242851/30*n^8-123/
5*n^9)*p1^2+552960*(-338084073255600+1547980756833702/5*n-4247411222535484/45*n
^2+77162364592631/6*n^3-7925628587156/9*n^4+959163912529/30*n^5-56731542887/90*
n^6+20650678/3*n^7-84429/2*n^8+594/5*n^9)*p2-22979438283195187200*n^3+
5329674272374013952*n^4-241363132416*n^9+1442340864*n^10-3981312*n^11+18432*(-\
1617317+33345/2*n-45/2*n^2)*p5*p3*p2*p1^2+46080*(1972942145-57384960*n+453990*n
^2-900*n^3)*p4*p3*p2*p1+11520*(-843300+5400*n)*p4*p3*p2^2*p1+7680*(213840-1800*
n)*p4*p3*p2*p1^3-17108582400*p12*p1^2+51325747200*p12*p2+325140480*p6^2*p1^2-\
975421440*p6^2*p2+26127360*p5^2*p2^2-342558720*p5^2*p4+24908083200*p10*p4-\
1067489280*p10*p2^2+25206128640*p9*p5+26057687040*p8*p6+1013760*p9*p1^5+
13138329600*p7^2-900174643200*p14+5120/9*(6490800-43200*n)*p3^4+2880*(-63672000
+504000*n)*p4^3+138240*(-12809876199120+1501701780942*n-56403262940*n^2+
1626399827/2*n^3-8685989/2*n^4+15601/2*n^5-3/2*n^6)*p8+15360*(730804032-8206128
*n+21168*n^2)*p6^2+288*(-114929280+1866240*n)*p2^5
[6, 3, 3, 3, 3, 2]
3849120*p9*p1^3-559872*p7*p2*p1^3+9704448*p7*p3*p1^2-58685527724931072*n+
104451120*p8*p2*p1^2+43681680*p6*p4*p1^2-1213056*p5*p3*p2*p1^2+7348320*p5^2*p1^
2-174960*p5*p4*p1^3-7429968*p6*p2^2*p1^2-3936600*p4^2*p2*p1^2+7231680*p5*p3^2*
p1+34992*p5*p2^2*p1^3-760586112*p10*p1^2-1224720*p5^2*p4+408240*p4*p2^3*p1^2+
102629571933769560*n^2+3888/7*(-7803600+109536*n-672*n^2)*p7*p3*p2+2916/7*(
810040-14224*n+112*n^2)*p7*p2^2*p1+1296*(-3852090+63855*n-495*n^2)*p9*p2*p1+972
*(-1536750+3960*n)*p8*p3*p1-5832*p2^5*p1^2+26244*p2^6+11664/7*(-583563148+
23894066*n-392336*n^2+3388*n^3-14*n^4)*p7*p2*p1+1296*(-452148732+11605776*n-\
114828*n^2+336*n^3)*p6*p3*p1+972*(39022760-997276*n+8316*n^2)*p6*p2*p1^2+5832/5
*(-541263800+33155125/2*n-919575/4*n^2+3275/2*n^3-25/4*n^4)*p5*p4*p1+3888/5*(-\
1195615380+46588200*n-708315*n^2+5250*n^3-15*n^4)*p5*p3*p2+81/4*(21936-192*n)*
p3*p2^4*p1+162*(692640-5760*n)*p4*p3^2*p2+243*(237900-1200*n)*p4^2*p3*p1+972/5*
(1451640-21720*n+120*n^2)*p5*p3*p2^2+486/5*(-157640+2660*n-20*n^2)*p5*p2^3*p1+
1944/5*(-4777500+55500*n-300*n^2)*p5*p4*p3+3888/5*(-2321900+19880*n-140*n^2)*p6
*p5*p1+486*(-8872360+91140*n-420*n^2)*p6*p4*p2+5832/7*(-2744140+36680*n-280*n^2
)*p7*p4*p1+1944*(-35644251510+4534644435/2*n-207822345/4*n^2+1338015/2*n^3-\
19335/4*n^4+15*n^5)*p4*p3*p1+1458*(3402543760-195595960*n+4427230*n^2-51940*n^3
+270*n^4)*p4*p2*p1^2+972*(6451948608-434675655*n+24132693/2*n^2-187983*n^3+3267
/2*n^4-6*n^5)*p3*p2^2*p1+648*(-229376196+8068950*n-85374*n^2+216*n^3)*p3*p2*p1^
3+3888*(-819892763856+215276347985/2*n-10540529857/2*n^2+1100488041/8*n^3-\
18257191/8*n^4+199983/8*n^5-1333/8*n^6+1/2*n^7)*p3*p2*p1+3888/5*(21055500-\
155580*n+780*n^2)*p5*p3*p1^2+2916/5*(112813580-4474505*n+150755/2*n^2-635*n^3+5
/2*n^4)*p5*p2^2*p1+1944/5*(-1740300+13050*n-90*n^2)*p5*p2*p1^3+324*(-778140+
2160*n)*p4*p3*p1^3+729/2*(-7459280+205120*n-1920*n^2)*p4*p2^2*p1^2+324*(-\
2937024+14976*n)*p3^2*p2*p1^2+162*(-18099864+659580*n-9564*n^2+48*n^3)*p3*p2^3*
p1+162*(240408-864*n)*p3*p2^2*p1^3+11664/5*(-35653167770+16122682075/6*n-\
472995565/6*n^2+31049765/24*n^3-103845/8*n^4+605/8*n^5-5/24*n^6)*p5*p2*p1+
50038560*p10*p4+33965568*p11*p3+729/8*(1436000-9600*n)*p4^2*p2^2+169827840*p12*
p2+55520640*p13*p1+216*(-3020472+16128*n)*p6*p3^2+81*(2043216-30408*n+168*n^2)*
p6*p2^3+5832/25*(-9788100+152250*n-1050*n^2)*p5^2*p2+23328/11*(17869852-266266*
n+2002*n^2)*p11*p1+5832/5*(60117200-1312740*n+8580*n^2)*p10*p2+864*(39147570-\
478170*n+2970*n^2)*p9*p3+729*(49840800-619200*n+3600*n^2)*p8*p4+729/2*(-\
11669040+226080*n-1440*n^2)*p8*p2^2+23328/35*(53203500-725760*n+5040*n^2)*p7*p5
+2592*(2847819150-481799835/4*n+14714865/8*n^2-60885/4*n^3+495/8*n^4)*p9*p1+
1458*(6661837500-348492600*n+6449220*n^2-54360*n^3+180*n^4)*p8*p2+1458*(-\
201590940+4936200*n-37800*n^2)*p8*p1^2+7776/7*(6464826564-262360476*n+3668448*n
^2-26376*n^3+84*n^4)*p7*p3-10007712*p10*p2^2+27*(-207936+2304*n)*p3^2*p2^3+
43623360*p9*p5+243/16*(-300160+1920*n)*p4*p2^4+7776/5*(333817731930-58735723595
/2*n+3569186155/4*n^2-54587675/4*n^3+123930*n^4-2535/4*n^5+5/4*n^6)*p5*p3+3888/
5*(1497504750-116553945/2*n+2616675/4*n^2-6255/2*n^3+45/4*n^4)*p5*p1^3+729*(-\
65757175200+5420042660*n-169693610*n^2+2651800*n^3-20750*n^4+60*n^5)*p4*p2^2+
243/8*(1710560-54592*n+576*n^2)*p2^4*p1^2+729/2*(-1298720600+48709600*n-592400*
n^2+2400*n^3)*p4^2*p2+729/2*(31285400-694000*n+6000*n^2)*p4^2*p1^2+324*(-\
904768740+24746760*n-301320*n^2+1440*n^3)*p4*p3^2+243/2*(242691120-9621520*n+
125200*n^2-480*n^3)*p4*p2^3+144*(35236620-200880*n)*p3^3*p1+162*(186595848-\
6841296*n+100944*n^2-576*n^3)*p3^2*p2^2+3888/7*(9672348-70056*n+504*n^2)*p7*p1^
3+972*(7449840300-301401205*n+7728455/2*n^2-22155*n^3+105/2*n^4)*p6*p4+486*(-\
1350392848+62072178*n-1017555*n^2+7350*n^3-21*n^4)*p6*p2^2+5832*(-4289802345952
+3000148449323/3*n-338140155217/4*n^2+21499404709/6*n^3-4395013199/48*n^4+
6340907/4*n^5-456869/24*n^6+1769/12*n^7-9/16*n^8)*p2*p1^2+243/2*(19700352-\
616320*n+5760*n^2)*p2^2*p1^4+23328/5*(3056796082410-12199913867785/24*n+
2891958926135/96*n^2-83968618825/96*n^3+1930688895/128*n^4-4127765/24*n^5+
250705/192*n^6-575/96*n^7+5/384*n^8)*p5*p1+2916*(4990064126700-2578092821365/3*
n+323765213375/6*n^2-5086088795/3*n^3+61814975/2*n^4-338675*n^5+6170/3*n^6-5*n^
7)*p4*p2+2916*(-517724657340+63767075395*n-5558988405/2*n^2+60747760*n^3-\
1615545/2*n^4+6485*n^5-25*n^6)*p4*p1^2+1296*(64677398400-11333594439/2*n+
663016581/4*n^2-4384395/2*n^3+54027/4*n^4-27*n^5)*p3*p1^3+1458*(106350925840-\
11608596802*n+504325815*n^2-12313958*n^3+189665*n^4-1784*n^5+8*n^6)*p2^2*p1^2+
486*(-6775694616+490774416*n-12828204*n^2+159912*n^3-828*n^4)*p2*p1^4+7776*(
17891279151192-44377760607867/8*n+19557198556231/32*n^2-1032493092065/32*n^3+
121958663201/128*n^4-573340141/32*n^5+14922341/64*n^6-67397/32*n^7+1529/128*n^8
-1/32*n^9)*p3*p1+243*(-94261680+2203200*n-18720*n^2)*p4*p1^4+648*(-63208935468+
4665951558*n-131369472*n^2+2021940*n^3-17874*n^4+72*n^5)*p3^2*p2+648*(
2693829348-104327640*n+1130904*n^2-3744*n^3)*p3^2*p1^2+324/5*(3038580-6480*n)*
p3*p1^5+243*(-648077568+40214672*n-1043220*n^2+14104*n^3-84*n^4)*p2^3*p1^2+
23328/7*(157364345656-83453288765/6*n+5188538551/12*n^2-20794424/3*n^3+271089/4
*n^4-805/2*n^5+7/6*n^6)*p7*p1+1944*(296910203016-28795422523*n+1023052303*n^2-\
73112263/4*n^3+713517/4*n^4-3549/4*n^5+7/4*n^6)*p6*p2+1944*(-17718800568+
1102248539*n-46775673/2*n^2+247597*n^3-2247/2*n^4)*p6*p1^2+72900*p5*p4^2*p1-\
15552*p5*p3*p2^3+972*p5*p2^4*p1+373248*p7*p3*p2^2-870912*p6*p5*p3-1741824*p7*p6
*p1-6718464*p7*p5*p2+641520*p9*p2^2*p1-962280*p8*p5*p1-5248800*p8*p4*p2-3207600
*p9*p4*p1-5132160*p9*p3*p2-8491392*p11*p2*p1-46457712*p6*p1^4+104976*p5*p1^5+
8048160*p4*p2*p1^4-396576*p2^3*p1^4+397625183711649/4*n^6-3032315921777895/2*n^
5-3989088*p2*p1^6-7869060641043/2*n^7+403653730509/4*n^8-306909/2*n^11+2187/4*n
^12+26331480*p8*p6-510300*p6*p4^2+349920*p8*p2^3+22394880*p7^2+324*(50725584-\
446880*n+2352*n^2)*p6^2+243/4*(-5952000+36000*n)*p4^3+2916*(-1087606840320+
130165504080*n-5446611870*n^2+108085875*n^3-1163475*n^4+6525*n^5-15*n^6)*p8+
3888*(-13803085656360+12208937731473/4*n-3875277164801/16*n^2+147496240171/16*n
^3-12410179551/64*n^4+9769879/4*n^5-581259/32*n^6+1141/16*n^7-7/64*n^8)*p6+
11664/5*(-30185435280+1811846465*n-71171815/2*n^2+315315*n^3-2145/2*n^4)*p10+
5832*(-52353508902240+21832450927270*n-9734580619675/3*n^2+2755817004095/12*n^3
-35329354525/4*n^4+9733879775/48*n^5-5910855/2*n^6+651835/24*n^7-1715/12*n^8+5/
16*n^9)*p4+11664*(-37016382950400+133842592745763/4*n-486578047286069/48*n^2+
67301440714627/48*n^3-6535580498809/64*n^4+207218114449/48*n^5-1842341513/16*n^
6+98587375/48*n^7-4717015/192*n^8+2931/16*n^9-21/32*n^10)*p2+243/4*(12298514496
-961466768*n+29058056*n^2-421200*n^3+2520*n^4)*p2^4+162/5*(260021880-8495280*n+
71280*n^2)*p1^6+11664/25*(7766738700-642195225/2*n+18689475/4*n^2-72975/2*n^3+
525/4*n^4)*p5^2+486*(-1205079571872+173420429670*n-9679582683*n^2+286464933*n^3
-4980348*n^4+49677*n^5-225*n^6)*p2^3+2916*(23900386373984-22667964598243/3*n+
10360423039693/12*n^2-584662934645/12*n^3+25422197873/16*n^4-65846923/2*n^5+
10630507/24*n^6-14527/4*n^7+225/16*n^8)*p2^2-3517626933/2*n^9+83009043/4*n^10-\
1866240*p7*p4*p3+2916/5*(534500-6850*n+50*n^2)*p5*p4*p2*p1+243*(-75000+480*n)*
p4*p3*p2^2*p1+648*(332976-1344*n)*p6*p3*p2*p1+204120*p6*p4*p2^2+466560*p7*p4*p2
*p1+972*(82267980-2437470*n+29430*n^2-120*n^3)*p4*p3*p2*p1+217728*p6*p5*p2*p1-\
31104*p7*p2^3*p1+233280*p5*p4*p3*p2-29160*p5*p4*p2^2*p1-1524096*p6^2*p2+244944*
p5^2*p2^2-6804*p6*p2^4-1356289920*p14+12900604191765093*n^4-55424061380540538*n
^3+1944*(-296281440+6726720*n-43680*n^2)*p12+972*(582660784800-97764175806*n+
5742090705*n^2-159402360*n^3+2416833*n^4-20394*n^5+78*n^6)*p1^4+11664*(
17189619686400-43136529134547/4*n+110546701045949/48*n^2-10951339712513/48*n^3+
2323499702531/192*n^4-36769076051/96*n^5+385308557/48*n^6-1436977/12*n^7+81733/
64*n^8-859/96*n^9+1/32*n^10)*p1^2+1296*(5447372754096-1819079327409/2*n+
214853121951/4*n^2-1534122783*n^3+102217011/4*n^4-550125/2*n^5+3711/2*n^6-6*n^7
)*p3^2+729*(356126455200-31361827000*n+942966700*n^2-13446700*n^3+98500*n^4-300
*n^5)*p4^2+243/40*(-44476000+1654080*n-17280*n^2)*p2^5
[6, 3, 3, 3, 2, 2, 2]
1160364922093486080*n+2592/5*(-7163760+86760*n-360*n^2)*p5*p3^2*p1+486*(1228416
-16212*n+84*n^2)*p6*p2^2*p1^2+3888/5*(71639400-718550*n+2350*n^2)*p5*p4*p3+432*
(258216-672*n)*p6*p3*p1^3+972*(-5361440+48090*n-210*n^2)*p6*p4*p1^2+3888/7*(
613452-7784*n+56*n^2)*p7*p2*p1^3+7776/5*(69556760-822255*n+4235*n^2)*p6*p5*p1+
972*(92602440-973770*n+3570*n^2)*p6*p4*p2+7776/7*(-5157768+58800*n-336*n^2)*p7*
p3*p1^2+5832/7*(-12169864+182616*n-952*n^2)*p7*p2^2*p1+1458*(-7539840+121680*n-\
720*n^2)*p8*p2*p1^2+11664/7*(64327480-699300*n+3220*n^2)*p7*p4*p1+7776/7*(
91781760-1204112*n+5264*n^2)*p7*p3*p2+2592*(74744010-2701215/2*n+14355/2*n^2)*
p9*p2*p1+1944*(62043840-851040*n+4320*n^2)*p8*p3*p1+23328/7*(9703490468-\
421103739*n+6343547*n^2-42028*n^3+112*n^4)*p7*p2*p1+2592*(10032189272-376064899
*n+4886574*n^2-29190*n^3+63*n^4)*p6*p3*p1+1944*(-1119764128+42692097*n-1217307/
2*n^2+3927*n^3-21/2*n^4)*p6*p2*p1^2+11664/5*(10721771900-383497150*n+4572400*n^
2-24400*n^3+50*n^4)*p5*p4*p1+7776/5*(13914533220-504524575*n+6245800*n^2-33070*
n^3+65*n^4)*p5*p3*p2+7776/5*(-1044920500+33735780*n-877995/2*n^2+2805*n^3-15/2*
n^4)*p5*p3*p1^2+5832/5*(-1668536060+63163115*n-1687355/2*n^2+4775*n^3-25/2*n^4)
*p5*p2^2*p1+3888/5*(112705770-7378925/2*n+201955/4*n^2-695/2*n^3+5/4*n^4)*p5*p2
*p1^3+648*(86072400-2005035*n+19755*n^2-60*n^3)*p4*p3*p1^3+729*(179652480-\
6028040*n+70520*n^2-240*n^3)*p4*p2^2*p1^2+243*(-8954000+203920*n-1680*n^2)*p4*
p2*p1^4+648*(153233892-4803336*n+60840*n^2-288*n^3)*p3^2*p2*p1^2+324*(248494280
-8329042*n+93210*n^2-264*n^3)*p3*p2^3*p1+324*(-16901136+511830*n-6222*n^2+24*n^
3)*p3*p2^2*p1^3+324/5*(435240-1440*n)*p3*p2*p1^5+81/2*(-232224+1152*n)*p3*p2^4*
p1+54*(14424-96*n)*p3*p2^3*p1^3+486*(-6282000+43200*n)*p4^2*p3*p1+729/2*(822400
-4800*n)*p4^2*p2*p1^2+324*(-9896160+82560*n)*p4*p3^2*p2+324*(432720-2880*n)*p4*
p3^2*p1^2+243/2*(-168800+960*n)*p4*p2^3*p1^2+144*(1018656-10368*n)*p3^3*p2*p1+
162*(-124704+1152*n)*p3^2*p2^2*p1^2+972/5*(1833080-21390*n+110*n^2)*p5*p2^3*p1+
972/5*(-109680+1450*n-10*n^2)*p5*p2^2*p1^3+1944/5*(-13350600+148420*n-580*n^2)*
p5*p3*p2^2+1944/5*(381600-3725*n+25*n^2)*p5*p4*p1^3-46656*p5*p3*p2^2*p1^2+
373248*p5*p3^2*p2*p1+233280*p5*p4*p3*p1^2+524880*p5*p4*p2^2*p1-19440*p5*p4*p2*
p1^3-3888000*p5*p4*p3*p2+653184*p6*p3*p2^2*p1-3265920*p6*p4*p3*p1+408240*p6*p4*
p2*p1^2-13390272*p6*p5*p2*p1-11197440*p7*p4*p2*p1+23328/5*(518253664130-\
82831806265/2*n+9669611285/8*n^2-281551535/16*n^3+2194415/16*n^4-8465/16*n^5+15
/16*n^6)*p5*p2*p1+3888*(570262606480-42590764890*n+1126644580*n^2-14780260*n^3+
103170*n^4-300*n^5)*p4*p3*p1+2916*(-69142922120+4752887580*n-124465260*n^2+
1686270*n^3-11740*n^4+30*n^5)*p4*p2*p1^2+1944*(-93014910424+6391032805*n-\
335384997/2*n^2+2217979*n^3-28839/2*n^4+30*n^5)*p3*p2^2*p1+1296*(7980793932-\
950455803/2*n+45353013/4*n^2-297507/2*n^3+4275/4*n^4-3*n^5)*p3*p2*p1^3+7776*(
10537947402480-1464808241507*n+598840861279/8*n^2-30930038745/16*n^3+467247797/
16*n^4-4249955/16*n^5+20893/16*n^6-9/4*n^7)*p3*p2*p1+46656/35*(-681668400+
7871500*n-37660*n^2)*p7*p5+46656/11*(-433653220+8771763*n-47047*n^2)*p11*p1+
11664/5*(-646331400+12468170*n-61490*n^2)*p10*p2+11664/5*(42328000-707850*n+
4290*n^2)*p10*p1^2+1728*(-594128700+8782785*n-41085*n^2)*p9*p3+864*(-3209580+
69795/2*n-495/2*n^2)*p9*p1^3+1458*(-629532000+7287000*n-31800*n^2)*p8*p4+729*(
105022080-1690320*n+8400*n^2)*p8*p2^2+11664/25*(98521500-1149925*n+5425*n^2)*p5
^2*p2+11664/25*(-6178200+82425*n-525*n^2)*p5^2*p1^2+162*(-15791328+198492*n-924
*n^2)*p6*p2^3+432*(73410960-851088*n+3024*n^2)*p6*p3^2+5184*(-50847226320+
2596555995*n-174168225/4*n^2+634095/2*n^3-3465/4*n^4)*p9*p1+2916*(6234137280-\
265858020*n+4003110*n^2-29340*n^3+90*n^4)*p8*p1^2+15552/7*(-84215039160+
3554865958*n-46587422*n^2+276920*n^3-616*n^4)*p7*p3+972*(13697019840-557011602*
n+7579383*n^2-43806*n^3+105*n^4)*p6*p2^2+324*(53555936-1113028*n+8148*n^2)*p6*
p1^4+1944/25*(-3203200+23550*n-150*n^2)*p5*p1^5+729*(14242317600-488268800*n+
5366000*n^2-20400*n^3)*p4^2*p2+729*(-1058484800+31625600*n-338800*n^2+1200*n^3)
*p4^2*p1^2+648*(13214662200-414752340*n+4711860*n^2-19920*n^3)*p4*p3^2+288*(-\
1370313288+42303816*n-526824*n^2+2592*n^3)*p3^3*p1+324*(-2010280248+66537720*n-\
760920*n^2+2784*n^3)*p3^2*p2^2+108*(-4553568+21888*n)*p3^2*p1^4+243/8*(2033280-\
11520*n)*p4*p2^4+729/4*(-12182400+86400*n)*p4^2*p2^2+165888*p5*p3*p2^3-11664*p5
*p2^4*p1+1296*p5*p2^3*p1^3-1749600*p5*p4^2*p1+489888*p5^2*p2*p1^2-3919104*p5^2*
p3*p1-27216*p6*p2^3*p1^2-2612736*p6*p3^2*p2+72576*p6*p5*p1^3-3674160*p6*p4*p2^2
-6718464*p7*p5*p1^2+42301440*p7*p4*p3+155520*p7*p4*p1^3-2985984*p7*p3^2*p1-\
6220800*p7*p3*p2^2+559872*p7*p2^3*p1-31104*p7*p2^2*p1^3+52399872*p6*p5*p3-\
5132160*p9*p3*p1^2-19245600*p9*p2^2*p1+427680*p9*p2*p1^3+134369280*p8*p5*p1+
97977600*p8*p4*p2-5248800*p8*p4*p1^2+1049760*p8*p2^2*p1^2+101896704*p7*p6*p1+
107122176*p7*p5*p2+407586816*p11*p2*p1+160123392*p10*p3*p1-20015424*p10*p2*p1^2
+115473600*p9*p4*p1+147121920*p9*p3*p2+46656/5*(-37621243128840+19923760548005/
3*n-10102442708575/24*n^2+102735039195/8*n^3-20875812985/96*n^4+52729265/24*n^5
-617755/48*n^6+155/4*n^7-5/96*n^8)*p5*p1+5832*(7627276767360-3267478167680/3*n+
171517393535/3*n^2-4514526235/3*n^3+46248615/2*n^4-437845/2*n^5+7025/6*n^6-5/2*
n^7)*p4*p1^2+2592*(-1269900854520+149534611685*n-53097059555/8*n^2+2466761265/
16*n^3-35291557/16*n^4+324555/16*n^5-1765/16*n^6+1/4*n^7)*p3*p1^3+2916*(-\
1616999946240+193786319060*n-8993016447*n^2+444842419/2*n^3-6600203/2*n^4+57461
/2*n^5-231/2*n^6)*p2^2*p1^2+11664*(51810885496640-38920394505127/3*n+
3586543983565/3*n^2-662134018571/12*n^3+2968031853/2*n^4-51167665/2*n^5+1749565
/6*n^6-8257/4*n^7+7*n^8)*p2*p1^2+243/4*(-30048256+968160*n-9312*n^2)*p2^4*p1^2+
81/2*(1825760-49888*n+480*n^2)*p2^3*p1^4+7776/5*(-47339821980+19066090355/6*n-\
1904996915/24*n^2+51275285/48*n^3-138895/16*n^4+665/16*n^5-5/48*n^6)*p5*p1^3+
1458*(717451605040-54532974700*n+1489880540*n^2-19699820*n^3+128920*n^4-300*n^5
)*p4*p2^2+243*(-894980128+49681384*n-1123536*n^2+13360*n^3-72*n^4)*p2^2*p1^4+
162/5*(45038160-1426320*n+12240*n^2)*p2*p1^6+37091520*p8*p1^4-186624*p7*p1^5-\
4844448*p6*p2*p1^4+23328*p5*p2*p1^5-590976*p5*p3*p1^4-1166400*p4^2*p1^4+349920*
p4*p2^2*p1^4-314928*p2^6-7776*p2^4*p1^4+174960*p2^5*p1^2+36167731200*p14-\
257456730376257624*n^4+1104211658816321184*n^3+2332800*p4*p1^6-326592*p2^2*p1^6
-1119744*p1^8+23975474472*n^9-235800882*n^10+1944*(-93252539520+3742529350*n-\
43336930*n^2+225120*n^3-420*n^4)*p6*p4+7776/7*(-651777756+21677173*n-273728*n^2
+1862*n^3-7*n^4)*p7*p1^3+2916*(-75621805920+3653908320*n-57004320*n^2+376320*n^
3-960*n^4)*p8*p2+486*(11441130816-748806004*n+19275074*n^2-245692*n^3+1326*n^4)
*p2^3*p1^2+648/5*(-466371840+16403490*n-159570*n^2+360*n^3)*p3*p1^5+486*(
5304193600-277337940*n+5284420*n^2-52720*n^3+240*n^4)*p4*p1^4+1296*(-\
69857886984+4484616327*n-109213488*n^2+1448514*n^3-10881*n^4+36*n^5)*p3^2*p1^2+
1296*(747699676620-53995417221*n+1396376103*n^2-18018732*n^3+120222*n^4-312*n^5
)*p3^2*p2+3888*(-3410920616040+319720179485*n-41313756407/4*n^2+1245814647/8*n^
3-9807315/8*n^4+38241/8*n^5-63/8*n^6)*p6*p2+15552/5*(-4014147183900+
1070569372855/3*n-125945768155/12*n^2+3374110075/24*n^3-8136365/8*n^4+29215/8*n
^5-115/24*n^6)*p5*p3+33592320*p8*p3^2-1067489280*p10*p4-2830464*p11*p1^3-\
3396556800*p12*p2-3997486080*p13*p1+169827840*p12*p1^2+12247200*p6*p4^2-1524096
*p6^2*p1^2+45722880*p6^2*p2-1585059840*p11*p3-924255360*p8*p6-1101703680*p9*p5+
153451584*p10*p2^2-4432320*p8*p2^3+81648*p6*p2^4-497664*p5*p3^3-447897600*p7^2+
30021423658175232*n^5-1913056196663790*n^6+70910985327948*n^7-1617968822130*n^8
-2035297534752691200*n^2-4374*n^12+1455084*n^11+243*(-2154544560+74487400*n-\
833080*n^2+2640*n^3)*p4*p2^3+746496*p7*p3*p2*p1^2+54*(1737984-12288*n)*p3^2*p2^
3+972*(175926895440-17901443870*n+713160569*n^2-15514917*n^3+210212*n^4-1745*n^
5+7*n^6)*p2*p1^4+15552*(-198511154223520+190973593739744/3*n-58366831353061/8*n
^2+9611155327267/24*n^3-1157736941743/96*n^4+880110503/4*n^5-124150021/48*n^6+
57884/3*n^7-2585/32*n^8+1/8*n^9)*p3*p1-16796160*p8*p3*p2*p1+46656/7*(-\
2255801038260+222017260913*n-7668241224*n^2+502897479/4*n^3-4385773/4*n^4+19285
/4*n^5-35/4*n^6)*p7*p1+3888*(351373901760-28702662380*n+3398694789/4*n^2-\
101462823/8*n^3+857871/8*n^4-3801/8*n^5+7/8*n^6)*p6*p1^2+23328*(-\
179207511168000+115577300117276*n-153780365131061/6*n^2+21334856258823/8*n^3-\
7194369900137/48*n^4+240202947521/48*n^5-5161628435/48*n^6+37759615/24*n^7-\
756685/48*n^8+4823/48*n^9-5/16*n^10)*p1^2+23328/25*(-96928330800+3889997300*n-\
91364525/2*n^2+256375*n^3-1225/2*n^4)*p5^2+7776*(152881857928800-34035780280908
*n+2676284879807*n^2-777950811869/8*n^3+29241155265/16*n^4-153113723/8*n^5+
225477/2*n^6-343*n^7+7/16*n^8)*p6+5832*(12673226966400-1520618023300*n+
61631497585*n^2-2196072025/2*n^3+19333725/2*n^4-83055/2*n^5+145/2*n^6)*p8+1944*
(-8839486119040+5414811876752/3*n-278442547061/2*n^2+66278881949/12*n^3-\
1573885691/12*n^4+8210441/4*n^5-261937/12*n^6+446/3*n^7-1/2*n^8)*p1^4+324/5*(-\
15740358240+1205188980*n-32126220*n^2+380880*n^3-1800*n^4)*p1^6+972*(
13224029402160-1814462150742*n+91899049554*n^2-4705747779/2*n^3+69208089/2*n^4-\
584193/2*n^5+2259/2*n^6)*p2^3+2592*(-61841882960640+10432057771012*n-\
611630248523*n^2+66457630347/4*n^3-979370501/4*n^4+8666229/4*n^5-43643/4*n^6+23
*n^7)*p3^2+243/20*(331199040-10749600*n+99360*n^2)*p2^5+11664*(553188769660800-\
232741422875050*n+207957943578695/6*n^2-28981576302515/12*n^3+352780905505/4*n^
4-10887464785/6*n^5+89462435/4*n^6-505805/3*n^7+4315/6*n^8-5/4*n^9)*p4+243/2*(-\
118058045568+8166755360*n-211704392*n^2+2628048*n^3-13608*n^4)*p2^4+24*(-\
7983360+82944*n)*p3^4+243/2*(63936000-432000*n)*p4^3+648*(-691558560+7499352*n-\
34104*n^2)*p6^2+1458*(-4249697660000+374108842200*n-10709725000*n^2+134893200*n
^3-879200*n^4+2400*n^5)*p4^2+1944*(-1548045680+51648355*n-606315*n^2+2460*n^3)*
p4*p3*p2*p1+3888*(3809332800-85066800*n+414960*n^2)*p12+23328/5*(370140170400-\
22123225410*n+398741200*n^2-2828540*n^3+7150*n^4)*p10+324*(-51900+240*n)*p4*p3*
p2*p1^3+486*(1330680-10080*n)*p4*p3*p2^2*p1+5832/5*(-9941600+104325*n-425*n^2)*
p5*p4*p2*p1+3888/5*(909060-11580*n+60*n^2)*p5*p3*p2*p1^2+1296*(-9767436+120456*
n-504*n^2)*p6*p3*p2*p1+23328*(375938387328000-342653830049572*n+626911604997991
/6*n^2-346229369001605/24*n^3+16459418393987/16*n^4-1969982433019/48*n^5+
15670231293/16*n^6-357485075/24*n^7+7144897/48*n^8-14855/16*n^9+45/16*n^10)*p2+
5832*(-55942945751280+9575102616910*n-578160529890*n^2+16484196845*n^3-\
513064565/2*n^4+4673505/2*n^5-23275/2*n^6+45/2*n^7)*p4*p2-2776032*p5^2*p2^2+
21228480*p5^2*p4+5832*(-256540134850560+81407939461546*n-18334522847629/2*n^2+
1966686204943/4*n^3-28857199519/2*n^4+1023660207/4*n^5-11553715/4*n^6+39765/2*n
^7-261/4*n^8)*p2^2
[6, 3, 3, 2, 2, 2, 2, 2]
-24111986264959057920*n-228096*p2*p1^8-10368*p2^3*p1^6-2104704*p6*p1^6+13824*(-\
303190734+3374805*n-13125*n^2)*p6*p5*p1+8640*(-266397180+2699760*n-8400*n^2)*p6
*p4*p2+8640*(38793300-428190*n+1470*n^2)*p6*p4*p1^2+3840*(-4841298+62244*n-252*
n^2)*p6*p3*p1^3+4320*(-5968788+77280*n-336*n^2)*p6*p2^2*p1^2+1440*(636468-8610*
n+42*n^2)*p6*p2*p1^4+17280*(-281023740+3983760*n-15840*n^2)*p8*p3*p1+12960*(
41316240-685680*n+3120*n^2)*p8*p2*p1^2+103680/7*(-288720950+3284960*n-11480*n^2
)*p7*p4*p1+69120/7*(-267969996+3307640*n-12488*n^2)*p7*p3*p2+69120/7*(39050564-\
532672*n+2128*n^2)*p7*p3*p1^2+51840/7*(42582134-602196*n+2604*n^2)*p7*p2^2*p1+
34560/7*(-5450634+83216*n-392*n^2)*p7*p2*p1^3+23040*(-286143660+10064835/2*n-\
44055/2*n^2)*p9*p2*p1+207360/7*(-34935523798+4618970188/3*n-43187389/2*n^2+
372785/3*n^3-553/2*n^4)*p7*p2*p1+360*(707400-2592*n)*p3*p2^4*p1+480*(-92556+432
*n)*p3*p2^3*p1^3+480*(-65808+576*n)*p3^2*p2*p1^4+1440*(658896-4416*n)*p3^2*p2^2
*p1^2+1280*(-4393872+32832*n)*p3^3*p2*p1+1080*(727200-4320*n)*p4*p2^3*p1^2+540*
(-78640+480*n)*p4*p2^2*p1^4+10368*p5*p1^7+2880*(29992440-217440*n)*p4*p3^2*p2+
2880*(-4299000+36960*n)*p4*p3^2*p1^2+288*(-30270+120*n)*p4*p3*p1^5+3240*(-\
4764000+36000*n)*p4^2*p2*p1^2+4320*(31412900-248400*n)*p4^2*p3*p1+1728*(-\
5789094+58365*n-225*n^2)*p5*p2^3*p1+1728*(765690-8800*n+40*n^2)*p5*p2^2*p1^3+
1728/5*(-64090+785*n-5*n^2)*p5*p2*p1^5+3456*(35807598-342238*n+1030*n^2)*p5*p3*
p2^2+1152*(506670-6150*n+30*n^2)*p5*p3*p1^4+6912*(-230268570+2098720*n-4600*n^2
)*p5*p4*p3+3456*(-4605300+48175*n-175*n^2)*p5*p4*p1^3+4608*(34437360-356640*n+
960*n^2)*p5*p3^2*p1-69120*p5*p3*p2*p1^4+1589760*p5*p3*p2^2*p1^2-10506240*p5*p3^
2*p2*p1+1296000*p5*p4*p2*p1^3-14169600*p5*p4*p3*p1^2-12312000*p5*p4*p2^2*p1+
77760000*p5*p4*p3*p2+1935360*p6*p3*p2*p1^3-22256640*p6*p3*p2^2*p1-27216000*p6*
p4*p2*p1^2+419489280*p6*p5*p2*p1+198374400*p6*p4*p3*p1-45342720*p7*p3*p2*p1^2+
383616000*p7*p4*p2*p1+622080000*p8*p3*p2*p1+25920*(278297755560-20847085660*n+
565317295*n^2-7314025*n^3+46295*n^4-105*n^5)*p4*p2*p1^2+17280*(308338494616-\
85701359143/4*n+4330324609/8*n^2-26158395/4*n^3+294079/8*n^4-111/2*n^5)*p3*p2^2
*p1+11520*(-41708412456+11445724641/4*n-588576579/8*n^2+3715425/4*n^3-45045/8*n
^4+21/2*n^5)*p3*p2*p1^3+69120*(-30899151986288+17920866745147/4*n-235870512746*
n^2+96747447887/16*n^3-1374662821/16*n^4+11295977/16*n^5-47771/16*n^6+15/4*n^7)
*p3*p2*p1+10368*(5775392511-2551145915/12*n+20435079/8*n^2-142885/12*n^3+185/8*
n^4)*p5*p2^2*p1+6912*(-751560537+112443615/4*n-2904965/8*n^2+7685/4*n^3-35/8*n^
4)*p5*p2*p1^3+5760*(-749275380+25380585*n-289485*n^2+1140*n^3)*p4*p3*p1^3+6480*
(-815409740+27948240*n-305840*n^2+960*n^3)*p4*p2^2*p1^2+2160*(94502340-3112240*
n+35200*n^2-120*n^3)*p4*p2*p1^4+5760*(-800775198+26419344*n-287760*n^2+960*n^3)
*p3^2*p2*p1^2+2880*(-828578850+26593515*n-262539*n^2+540*n^3)*p3*p2^3*p1+2880*(
108392166-3536904*n+37416*n^2-96*n^3)*p3*p2^2*p1^3+576*(-10754478+317991*n-3543
*n^2+12*n^3)*p3*p2*p1^5+41472*(-1691375781216+1687228163645/12*n-12269717855/3*
n^2+883705105/16*n^3-18195565/48*n^4+57505/48*n^5-25/16*n^6)*p5*p2*p1+34560*(-\
1908355528630+606706555035/4*n-32866657905/8*n^2+202063735/4*n^3-2497055/8*n^4+
1515/2*n^5)*p4*p3*p1+17280*(5328383508-435303771/2*n+11778669/4*n^2-32949/2*n^3
+147/4*n^4)*p6*p2*p1^2+20736*(-41470570785+18875349215/12*n-138402615/8*n^2+
930025/12*n^3-825/8*n^4)*p5*p4*p1+13824*(-40222467138+2812725737/2*n-62609557/4
*n^2+137609/2*n^3-415/4*n^4)*p5*p3*p2+13824*(5649930402-419469379/2*n+10125975/
4*n^2-25075/2*n^3+85/4*n^4)*p5*p3*p1^2+23040*(-38798575242+1542885372*n-\
37519377/2*n^2+95991*n^3-357/2*n^4)*p6*p3*p1+144*(7788-48*n)*p3*p2^2*p1^5-\
5598720*p2^5*p1^2+3456/7*(388430-4228*n+28*n^2)*p7*p1^5+3840*(-241146360+
2578464*n-8064*n^2)*p6*p3^2+12960*(1966562640-22661040*n+80400*n^2)*p8*p4+6480*
(-283016016+4250856*n-18120*n^2)*p8*p2^2+2160*(-4209840+65160*n-360*n^2)*p8*p1^
4+82944/7*(2095508520-22593928*n+85288*n^2)*p7*p5+259200*p4*p2*p1^6+414720/11*(
1810190382-38723685*n+165165*n^2)*p11*p1+20736*(1853992140-33913880*n+143000*n^
2)*p10*p2+20736*(-266766500+5378230*n-24310*n^2)*p10*p1^2+15360*(1865964870-\
27085905*n+106425*n^2)*p9*p3+7680*(35934030-1313235/2*n+6435/2*n^2)*p9*p1^3+
27648*(11269450601010-2016766799351/2*n+57997637457/2*n^2-2863067547/8*n^3+
18263285/8*n^4-54457/8*n^5+55/8*n^6)*p5*p3+6480*(-41216421400+1374508000*n-\
14004400*n^2+48000*n^3)*p4^2*p2+5760*(-40588580550+1270219200*n-12967920*n^2+
45120*n^3)*p4*p3^2+25920*(-29887448904+1479151554*n-23482215*n^2+148830*n^3-345
*n^4)*p8*p1^2+138240/7*(249746869512-10529340920*n+128292899*n^2-666554*n^3+
1295*n^4)*p7*p3+69120/7*(4553071782-202082118*n+6007267/2*n^2-19033*n^3+91/2*n^
4)*p7*p1^3+17280*(276291351000-22166916625/2*n+477927135/4*n^2-1098755/2*n^3+
3465/4*n^4)*p6*p4+46080*(183240128610-19990043205/2*n+666693225/4*n^2-1047255*n
^3+9405/4*n^4)*p9*p1+25920*(216274235688-10184464182*n+146751501*n^2-852474*n^3
+1875*n^4)*p8*p2+1280/3*(530064-5184*n)*p3^3*p1^3+480*(-4516128+24192*n)*p3^2*
p2^3+270*(-4929120+25920*n)*p4*p2^4+1620*(32965600-228000*n)*p4^2*p2^2+540*(
411200-2400*n)*p4^2*p1^4+20736/5*(-274099980+2808295*n-9835*n^2)*p5^2*p2+20736/
5*(40288360-463925*n+1925*n^2)*p5^2*p1^2+1440*(40203828-466074*n+1890*n^2)*p6*
p2^3-2903040*p5*p3*p2^3+233280*p5*p2^4*p1-51840*p5*p2^3*p1^3+1728*p5*p2^2*p1^5+
552960*p5*p3^2*p1^3+55728000*p5*p4^2*p1-8640*p5*p4*p1^5-11612160*p6*p3^2*p1^2+
1088640*p6*p2^3*p1^2-60480*p6*p2^2*p1^4+121927680*p5^2*p3*p1-18144000*p5^2*p2*
p1^2+86184000*p6*p4*p2^2+302400*p6*p4*p1^4+73543680*p6*p3^2*p2-18869760*p6*p5*
p1^3-1376040960*p6*p5*p3-14929920*p7*p2^3*p1+2073600*p7*p2^2*p1^3-27648*p7*p2*
p1^5+163676160*p7*p3^2*p1+145981440*p7*p3*p2^2+552960*p7*p3*p1^4+11520*(-\
2115724115508+151232269248*n-7458204429/2*n^2+43778757*n^3-503625/2*n^4+498*n^5
)*p3^2*p2+11520*(294213971952-21312755112*n+1109797119/2*n^2-6942639*n^3+87003/
2*n^4-102*n^5)*p3^2*p1^2+1152*(5087113740-1289006187/4*n+62094573/8*n^2-384711/
4*n^3+4995/8*n^4-3/2*n^5)*p3*p1^5+4320*(-44573784096+2989374630*n-75052362*n^2+
890184*n^3-4356*n^4)*p2^3*p1^2+2160*(5757784912-372180162*n+9213049*n^2-110434*
n^3+555*n^4)*p2^2*p1^4+288*(-639909456+36590580*n-807165*n^2+9030*n^3-45*n^4)*
p2*p1^6+82944*(105758713562250-58390105477529/3*n+20583731587939/16*n^2-\
483007449239/12*n^3+128018365079/192*n^4-24722267/4*n^5+3049067/96*n^6-475/6*n^
7+5/64*n^8)*p5*p1+51840*(148492905613416-153670306985143/6*n+18419929220113/12*
n^2-253149844171/6*n^3+7317475535/12*n^4-30308665/6*n^5+22450*n^6-75/2*n^7)*p4*
p2+51840*(-24136305472216+22446269544811/6*n-2568152761345/12*n^2+18019518265/3
*n^3-1115835995/12*n^4+829495*n^5-3985*n^6+15/2*n^7)*p4*p1^2+23040*(
4743017980392-2542594267683/4*n+32274732261*n^2-13297807911/16*n^3+195762369/16
*n^4-1695249/16*n^5+7743/16*n^6-3/4*n^7)*p3*p1^3+2160*(5747195580-188709840*n+
1931040*n^2-5400*n^3)*p4*p2^3+144*(-7029060+147720*n-1080*n^2)*p4*p1^6+2560*(
5725925316-183022848*n+1952640*n^2-6912*n^3)*p3^3*p1+2880*(5640002490-177504996
*n+1781700*n^2-4944*n^3)*p3^2*p2^2+960*(90983898-2881044*n+33876*n^2-144*n^3)*
p3^2*p1^4+192/7*(457002-1512*n)*p3*p1^7+540*(118374480-3715200*n+32832*n^2)*p2^
4*p1^2+360*(-14215560+436392*n-3960*n^2)*p2^3*p1^4+72*(1238136-32160*n+288*n^2)
*p2^2*p1^6+414720/7*(7092729923706-2216231272486/3*n+79690353442/3*n^2-\
1706879965/4*n^3+40037249/12*n^4-150689/12*n^5+77/4*n^6)*p7*p1+34560*(
9467273205684-883792219632*n+110257267337/4*n^2-3065038669/8*n^3+21582869/8*n^4
-73283/8*n^5+105/8*n^6)*p6*p2+34560*(-1337546363244+122294713317*n-15912324015/
4*n^2+482687037/8*n^3-3710637/8*n^4+13755/8*n^5-21/8*n^6)*p6*p1^2+6298560*p2^6+
544320*p2^4*p1^4+40185227820955824*n^6-635226106784090400*n^5+
42445869646432154112*n^2+31464412129584*n^8-1452607645872096*n^7-430949172960*n
^9+3866135184*n^10+58320*n^12-21578400*n^11+4320*(-4815490+33480*n)*p4*p3*p2^2*
p1+2880*(596130-4680*n)*p4*p3*p2*p1^3+6912*(-5277250+58040*n-200*n^2)*p5*p3*p2*
p1^2+10368*(37919000-367000*n+1000*n^2)*p5*p4*p2*p1+11520*(39182766-460824*n+
1680*n^2)*p6*p3*p2*p1+2880*(-630144564+48966309/2*n-1338267/4*n^2+4179/2*n^3-21
/4*n^4)*p6*p1^4+8640*(-37967617548+2947134841/2*n-73328535/4*n^2+186263/2*n^3-\
777/4*n^4)*p6*p2^2+6480*(5779130200-204538800*n+2221600*n^2-8400*n^3)*p4^2*p1^2
+13824*(231994214586-75058276335/4*n+553023707*n^2-125929785/16*n^3+936755/16*n
^4-3315/16*n^5+5/16*n^6)*p5*p1^3+12960*(-1992966040384+444628159522/3*n-\
3835349445*n^2+139895105/3*n^3-274375*n^4+555*n^5)*p4*p2^2+4320*(-36427756480+
2603332220*n-68974700*n^2+901685*n^3-6020*n^4+15*n^5)*p4*p1^4+3456/5*(75660855-\
9789845/4*n+241995/8*n^2-755/4*n^3+5/8*n^4)*p5*p1^5+8640*(-796523355152+
190874184137/2*n-17808588255/4*n^2+216901005/2*n^3-6148583/4*n^4+12517*n^5-93/2
*n^6)*p2*p1^4+25920*(5401470581328-4156316704315/6*n+404303753965/12*n^2-\
5013455993/6*n^3+141950327/12*n^4-94926*n^5+345*n^6)*p2^2*p1^2+103680*(-\
142772039574096+37677103473697*n-11057643113906/3*n^2+720101061223/4*n^3-\
60078125597/12*n^4+171263863/2*n^5-5577133/6*n^6+24327/4*n^7-75/4*n^8)*p2*p1^2-\
24883200*p8*p3*p1^3+138240*(513045341954712-338429235708201/2*n+320271957659689
/16*n^2-2264861064677/2*n^3+2217303730723/64*n^4-9917285991/16*n^5+218233575/32
*n^6-367315/8*n^7+10603/64*n^8-3/16*n^9)*p3*p1+17280*(5829138600-195409120*n+
2089600*n^2-7200*n^3)*p4*p3*p2*p1+5760*(2137269456-22311072*n+84672*n^2)*p6^2+
72/7*(50306256-1764000*n+14112*n^2)*p1^8+8640*(-35529065138880+9690826190005/2*
n-952940173863/4*n^2+5755031125*n^3-313021665/4*n^4+1204857/2*n^5-2106*n^6)*p2^
3-45100800*p8*p2^2*p1^2+103680*(-1375695908037360+585317336824486*n-\
263685258793910/3*n^2+73483223974579/12*n^3-5268713605045/24*n^4+103122097127/
24*n^5-291867841/6*n^6+3974155/12*n^7-10045/8*n^8+15/8*n^9)*p4-4493905920*p7*p6
*p1+640/3*(27423360-207360*n)*p3^4+1555200*p8*p2*p1^4+1080*(-211008000+1548000*
n)*p4^3+17280*(28072069770096-6384713921772*n+559604590106*n^2-101741836893/4*n
^3+5450556159/8*n^4-46126195/4*n^5+251855/2*n^6-836*n^7+21/8*n^8)*p1^4+51840*(-\
34699593408480+4196458817664*n-168240466215*n^2+5679742251/2*n^3-44674755/2*n^4
+167781/2*n^5-255/2*n^6)*p8+1080*(316464811728-20990079036*n+510289974*n^2-\
5821740*n^3+27378*n^4)*p2^4+23040*(164584777260708-56148628151871/2*n+
6574659073143/4*n^2-173421627495/4*n^3+593956782*n^4-18915675/4*n^5+81813/4*n^6
-33*n^7)*p3^2-2407698432*p7*p5*p2+386519040*p7*p5*p1^2+51840*(649171894563696-\
1041951185991518/5*n+706827904737193/30*n^2-14984735697235/12*n^3+423134074451/
12*n^4-35064738799/60*n^5+121305323/20*n^6-75939/2*n^7+225/2*n^8)*p2^2+207360*(
-900904569969600+8287124057913841/10*n-30619398825085339/120*n^2+
4255413171907277/120*n^3-1211336472921457/480*n^4+23704427420251/240*n^5-\
540081204227/240*n^6+3813567323/120*n^7-46546831/160*n^8+26355/16*n^9-9/2*n^10)
*p2-14515200*p7*p4*p1^3-1302220800*p7*p4*p3+1097141760*p10*p2*p1^2-7828254720*
p10*p3*p1+41472/5*(286469304660-22807646995/2*n+483138145/4*n^2-1128855/2*n^3+
3955/4*n^4)*p5^2-3854822400*p9*p3*p2-5046624000*p9*p4*p1-51321600*p9*p2*p1^3+
584496000*p9*p2^2*p1+41472*(-1068168661560+127897674905/2*n-4406622935/4*n^2+
13648635/2*n^3-59345/4*n^4)*p10+585446400*p9*p3*p1^2+108*(-824249520+25187760*n
-213840*n^2)*p2^5-4861555200*p8*p5*p1+12960*(11931014405520-3173630093360/3*n+
29692554500*n^2-1042735150/3*n^3+2052700*n^4-4950*n^5)*p4^2-2449440000*p8*p4*p2
+576*(111453316800-24442543221/2*n+2099498871/4*n^2-11836452*n^3+628503/4*n^4-\
2451/2*n^5+9/2*n^6)*p1^6+69120*(-397884271304520+89541377388015*n-\
56474689905137/8*n^2+2017827580825/8*n^3-143745905681/32*n^4+341259331/8*n^5-\
3570091/16*n^6+1183/2*n^7-21/32*n^8)*p6-14152320000*p11*p2*p1+365472000*p8*p4*
p1^2+207360*(438694583947200-2896743137037649/10*n+7950994863844123/120*n^2-\
171993862602299/24*n^3+40399950194125/96*n^4-1754512451017/120*n^5+76873259059/
240*n^6-27731939/6*n^7+4249793/96*n^8-263*n^9+3/4*n^10)*p1^2+49859712*p5^2*p2^2
-450696960*p5^2*p4-14826240*p10*p1^4+190080*p9*p1^5+28356894720*p9*p5+
47551795200*p11*p3+25800768000*p8*p6+5435845008270998976*n^4-\
23173265940442660224*n^3+34560*(-11554976160+254995104*n-1039584*n^2)*p12-\
1632960*p6*p2^4+362880*p5^2*p1^4-3513818880*p10*p2^2+31135104000*p10*p4+
566092800*p11*p1^3-12831436800*p12*p1^2+84687482880*p12*p2+168782745600*p13*p1+
182891520*p6^2*p1^2-1158312960*p6^2*p2-390096000*p6*p4^2+11059200*p5*p3^3+
93312000*p8*p2^3-1045094400*p8*p3^2+12481413120*p7^2-1012696473600*p14
[6, 3, 2, 2, 2, 2, 2, 2, 2]
525281723492430643200*n-110592*p1^10+580608*(48290723040-3766581295/2*n+
79063075/4*n^2-159645/2*n^3+325/4*n^4)*p5*p4*p1+387072*(40404660464-4212165808/
3*n+29574637/2*n^2-174845/3*n^3+145/2*n^4)*p5*p3*p2+387072*(-7987638128+
311873849*n-3570561*n^2+15436*n^3-20*n^4)*p5*p3*p1^2+290304*(-6831199072+
507170809/2*n-11646373/4*n^2+24455/2*n^3-75/4*n^4)*p5*p2^2*p1+193536*(
1300523600-157283272/3*n+658424*n^2-9155/3*n^3+5*n^4)*p5*p2*p1^3+829440*(
40260018784-1820479547*n+25076356*n^2-135058*n^3+273*n^4)*p7*p2*p1+645120*(
45032955744-1835391201*n+21401877*n^2-100548*n^3+168*n^4)*p6*p3*p1+60480*(-\
214341680+7993280*n-90700*n^2+300*n^3)*p4*p2*p1^4+483840*(-7399893816+317439997
*n-4214889*n^2+21686*n^3-42*n^4)*p6*p2*p1^2+161280*(1155874528-38683970*n+
387882*n^2-1032*n^3)*p3^2*p2*p1^2+80640*(988304400-62975907/2*n+580311/2*n^2-\
486*n^3)*p3*p2^3*p1+80640*(-188933312+12735471/2*n-125379/2*n^2+126*n^3)*p3*p2^
2*p1^3+16128*(33040504-2297887/2*n+24147/2*n^2-30*n^3)*p3*p2*p1^5+161280*(
1345950000-99860365/2*n+1094665/2*n^2-1890*n^3)*p4*p3*p1^3+181440*(1163346800-\
40903380*n+430800*n^2-1260*n^3)*p4*p2^2*p1^2+725760*(-335596635548+80241395456/
3*n-751744730*n^2+28780210/3*n^3-57620*n^4+120*n^5)*p4*p2*p1^2+967680*(
1999144699208-330671393953/2*n+18222453845/4*n^2-108621645/2*n^3+1255555/4*n^4-\
675*n^5)*p4*p3*p1+1161216*(1768274527016-457957465699/3*n+108517918109/24*n^2-\
2874199531/48*n^3+18649135/48*n^4-53125/48*n^5+55/48*n^6)*p5*p2*p1+1935360*(
29353429737440-26518908342619/6*n+5771644755623/24*n^2-300479360461/48*n^3+
4207139621/48*n^4-11044341/16*n^5+43207/16*n^6-11/4*n^7)*p3*p2*p1+483840*(-\
335797803488+47955616935/2*n-2422306339/4*n^2+14102575/2*n^3-146829/4*n^4+45*n^
5)*p3*p2^2*p1+322560*(59457222426-4435235688*n+119435400*n^2-1478179*n^3+8227*n
^4-12*n^5)*p3*p2*p1^3+10080*(-850824+2592*n)*p3*p2^4*p1-120781307078202032640*n
^4+510509779995759040512*n^3+13440*(169938-648*n)*p3*p2^3*p1^3-\
928363729186017607680*n^2+4032*(-29220+144*n)*p3*p2^2*p1^5+384*(3606-24*n)*p3*
p2*p1^7+241920*(279150900-2701335*n+7455*n^2)*p6*p4*p2+241920*(-64583400+705075
*n-1995*n^2)*p6*p4*p1^2+120960*(9140712-116865*n+441*n^2)*p6*p2^2*p1^2+40320*(-\
1797684+26145*n-105*n^2)*p6*p2*p1^4+193536*(240303280-1959785*n+3425*n^2)*p5*p4
*p3+96768*(10620520-221875/2*n+475/2*n^2)*p5*p4*p1^3+129024*(-43964176+396898*n
-850*n^2)*p5*p3^2*p1+96768*(-37284800+323379*n-795*n^2)*p5*p3*p2^2+48384*(
7057368-133245/2*n+405/2*n^2)*p5*p2^3*p1+48384*(-1460264+31905/2*n-105/2*n^2)*
p5*p2^2*p1^3+48384/5*(260560-6545/2*n+25/2*n^2)*p5*p2*p1^5+120960*(-41182200+
295200*n)*p4^2*p3*p1+90720*(7860800-60000*n)*p4^2*p2*p1^2+80640*(-31851680+
200640*n)*p4*p3^2*p2+80640*(7200360-53280*n)*p4*p3^2*p1^2+8064*(232980-2160*n)*
p4*p3*p1^5+30240*(-1090800+6480*n)*p4*p2^3*p1^2+15120*(206880-1440*n)*p4*p2^2*
p1^4+2016*(-31040+240*n)*p4*p2*p1^6+645120*(357782040-12646755/2*n+49995/2*n^2)
*p9*p2*p1+483840*(356341512-4942056*n+18120*n^2)*p8*p3*p1+362880*(-64778592+
1097148*n-4380*n^2)*p8*p2*p1^2+414720*(369968720-4114950*n+12950*n^2)*p7*p4*p1+
276480*(280180160-3325500*n+11676*n^2)*p7*p3*p2+276480*(-63581504+853580*n-3052
*n^2)*p7*p3*p1^2+207360*(-53250336+743778*n-2898*n^2)*p7*p2^2*p1+138240*(
11172140-177786*n+714*n^2)*p7*p2*p1^3+387072*(385766304-4020807*n+12831*n^2)*p6
*p5*p1+4515840*p5*p3*p2*p1^4-55157760*p5*p3*p2^2*p1^2+296755200*p5*p3^2*p2*p1-\
60480000*p5*p4*p2*p1^3+772208640*p6*p3*p2^2*p1+1270080000*p6*p4*p2*p1^2+
348364800*p5*p4*p2^2*p1+493516800*p5*p4*p3*p1^2-1819238400*p5*p4*p3*p2-\
126443520*p6*p3*p2*p1^3-6909235200*p6*p4*p3*p1-13428301824*p6*p5*p2*p1+
2183086080*p7*p3*p2*p1^2-14282956800*p7*p4*p2*p1-23108198400*p8*p3*p2*p1+40320*
(-1016664+5472*n)*p3^2*p2^2*p1^2+13440*(197328-1344*n)*p3^2*p2*p1^4+32256*(-\
1687480+19855*n-55*n^2)*p5*p3*p1^4+107520*(10758636-137550*n+462*n^2)*p6*p3*p1^
3+35840*(5615640-33120*n)*p3^3*p2*p1+725760*(39513088032-2102535348*n+34247952*
n^2-201792*n^3+420*n^4)*p8*p1^2+552960*(-244923009408+31018543052/3*n-121516058
*n^2+1778116/3*n^3-1078*n^4)*p7*p3+276480*(-7460323872+1113729071/3*n-5803511*n
^2+100912/3*n^3-70*n^4)*p7*p1^3+483840*(-271071484992+10895501610*n-225687105/2
*n^2+483105*n^3-1365/2*n^4)*p6*p4+241920*(38150675808-1478893626*n+35531727/2*n
^2-84315*n^3+315/2*n^4)*p6*p2^2+80640*(1349818176-62360172*n+1841973/2*n^2-5145
*n^3+21/2*n^4)*p6*p1^4+768*(-5018328+338163/2*n-3687/2*n^2+6*n^3)*p3*p1^7+15120
*(-164306016+5176440*n-43416*n^2)*p2^4*p1^2+10080*(29630304-958284*n+8316*n^2)*
p2^3*p1^4+2016*(-4738832+150852*n-1332*n^2)*p2^2*p1^6+144*(603280-16784*n+144*n
^2)*p2*p1^8+1658880*(-7088633543376+2306304694763/3*n-85579537598/3*n^2+
5511117779/12*n^3-41281325/12*n^4+144977/12*n^5-203/12*n^6)*p7*p1+967680*(-\
8799624523404+831584958428*n-103744113207/4*n^2+2821568841/8*n^3-18957253/8*n^4
+59927/8*n^5-77/8*n^6)*p6*p2+967680*(1516399176600-148408166333*n+20447589001/4
*n^2-632083921/8*n^3+4644745/8*n^4-15799/8*n^5+21/8*n^6)*p6*p1^2+774144*(-\
10463378663760+946990548375*n-325586418937/12*n^2+7770457205/24*n^3-46589893/24
*n^4+124867/24*n^5-35/8*n^6)*p5*p3+96768/5*(-229846640+19466895/2*n-531315/4*n^
2+1365/2*n^3-5/4*n^4)*p5*p1^5+181440*(41497352400-1381945600*n+13460200*n^2-\
42600*n^3)*p4^2*p2+181440*(-8240392000+310457600*n-3264200*n^2+11400*n^3)*p4^2*
p1^2+161280*(40801955040-1264786910*n+12089750*n^2-36840*n^3)*p4*p3^2+60480*(-\
5875175520+191356020*n-1870560*n^2+4860*n^3)*p4*p2^3+4032*(35775360-1352360*n+
16100*n^2-60*n^3)*p4*p1^6+71680*(-6866903520+218515194*n-2133522*n^2+6120*n^3)*
p3^3*p1+80640*(-5765075168+178512282*n-1662642*n^2+3816*n^3)*p3^2*p2^2+26880*(-\
215334720+7707858*n-83850*n^2+264*n^3)*p3^2*p1^4+1290240*(-203022309600+
23016723345/2*n-770418495/4*n^2+2278485/2*n^3-9405/4*n^4)*p9*p1+725760*(-\
212302947120+10043649952*n-141756342*n^2+779180*n^3-1590*n^4)*p8*p2+2903040*(
127669502647320-527149834111433/15*n+54108372112442/15*n^2-2220275926915/12*n^3
+64272347549/12*n^4-1400784112/15*n^5+10053087/10*n^6-76577/12*n^7+75/4*n^8)*p2
*p1^2+241920*(1006130479688-400273214492/3*n+41220093863/6*n^2-1084641875/6*n^3
+7969166/3*n^4-42913/2*n^5+153/2*n^6)*p2*p1^4+3870720*(-436390377274392+
2214210342569168/15*n-2156615304147517/120*n^2+6285364159021/6*n^3-\
1050783943213/32*n^4+2956926809/5*n^5-1529329561/240*n^6+328075/8*n^7-4377/32*n
^8+1/8*n^9)*p3*p1+1451520*(23968176379360-11796160237906/3*n+1430933819623/6*n^
2-42141168713/6*n^3+664841255/6*n^4-2894110/3*n^5+4380*n^6-15/2*n^7)*p4*p1^2+
645120*(-5253026306856+1525245424371/2*n-335695639545/8*n^2+18438287455/16*n^3-\
278514263/16*n^4+2347925/16*n^5-9871/16*n^6+3/4*n^7)*p3*p1^3+725760*(-\
5670881778928+2311036335206/3*n-78776885653/2*n^2+3014269723/3*n^3-28319801/2*n
^4+110120*n^5-380*n^6)*p2^2*p1^2+120960*(56043039156-3916747872*n+99164574*n^2-\
1143162*n^3+5292*n^4)*p2^3*p1^2+60480*(-9838635128+703461264*n-18439078*n^2+
219872*n^3-1050*n^4)*p2^2*p1^4+8064*(1661879196-118097008*n+3100186*n^2-37182*n
^3+180*n^4)*p2*p1^6+2322432*(-96587479325480+110350385690843/6*n-30215843647825
/24*n^2+40487137679*n^3-21554267371/32*n^4+48420321/8*n^5-469081/16*n^6+1585/24
*n^7-5/96*n^8)*p5*p1+1451520*(-130746319478104+68698668924904/3*n-2772011387151
/2*n^2+76069354245/2*n^3-3234919385/6*n^4+12899135/3*n^5-54110/3*n^6+55/2*n^7)*
p4*p2+32256*(-10265645580+1554628385/2*n-86734149/4*n^2+564085/2*n^3-6723/4*n^4
+3*n^5)*p3*p1^5+322560*(-356451045240+27522411328*n-739631496*n^2+8942768*n^3-\
51000*n^4+96*n^5)*p3^2*p1^2+362880*(1903963167360-143008924432*n+3679232530*n^2
-43378770*n^3+241890*n^4-450*n^5)*p4*p2^2+120960*(58384191320-4779836500*n+
142476440*n^2-1966750*n^3+12760*n^4-30*n^5)*p4*p1^4+322560*(2019292181808-\
145576190954*n+3551208029*n^2-39963110*n^3+211871*n^4-348*n^5)*p3^2*p2+387072*(
-307235242884+27421613326*n-21096924329/24*n^2+620442091/48*n^3-4383647/48*n^4+
13685/48*n^5-5/16*n^6)*p5*p1^3+215040*(-74952900+3089295/2*n-12375/2*n^2)*p9*p1
^3+362880*(-2028837360+22745220*n-75300*n^2)*p8*p4+181440*(295043280-4363308*n+
17100*n^2)*p8*p2^2+331776*(-2150369760+21860754*n-72834*n^2)*p7*p5-13824*p2^2*
p1^8+13824*(-2052680+36554*n-154*n^2)*p7*p1^5+107520*(251893152-2476740*n+7140*
n^2)*p6*p3^2+40320*(-41796972+468909*n-1701*n^2)*p6*p2^3+580608/5*(283719520-\
2655270*n+7350*n^2)*p5^2*p2+580608/5*(-66078880+701470*n-2030*n^2)*p5^2*p1^2+
2304/5*(-33040+845/2*n-5/2*n^2)*p5*p1^7+45360*(-35006400+230400*n)*p4^2*p2^2+
15120*(-1593600+14400*n)*p4^2*p1^4+11612160/11*(-2223796432+48524476*n-188188*n
^2)*p11*p1+580608*(-1908738260+34643895*n-135135*n^2)*p10*p2+580608*(415174760-\
8883875*n+35035*n^2)*p10*p1^2+430080*(-1920908880+27198765*n-100485*n^2)*p9*p3-\
17473978368*p7*p5*p1^2+38242713600*p7*p4*p3+1180569600*p7*p4*p1^3+1857945600*p8
*p3*p1^3-18942336000*p8*p4*p1^2+168504053760*p8*p5*p1+73592064000*p8*p4*p2-\
21076070400*p9*p2^2*p1+3299788800*p9*p2*p1^3-29378764800*p9*p3*p1^2+
191600640000*p9*p4*p1+115811942400*p9*p3*p2-52306974720*p10*p2*p1^2+
524126453760*p11*p2*p1+294468894720*p10*p3*p1-176359680*p2^6+2688*(290304-4557*
n+21*n^2)*p6*p1^6+60480*(12877680-250140*n+1020*n^2)*p8*p1^4+7560*(5114880-\
25920*n)*p4*p2^4+35840/3*(-1194480+8640*n)*p3^3*p1^3+13440*(4707072-20736*n)*p3
^2*p2^3+896*(-31176+288*n)*p3^2*p1^6+138240*p4*p1^8-1524096000*p5*p4^2*p1+
1451520*p5*p4*p1^5-25804800*p5*p3^2*p1^3+69672960*p5*p3*p2^3-64512*p5*p3*p1^6-\
6531840*p5*p2^4*p1+2177280*p5*p2^3*p1^3-145152*p5*p2^2*p1^5+2304*p5*p2*p1^7+
35071819776*p6*p5*p3+1165086720*p6*p5*p1^3-2438553600*p6*p4*p2^2-50803200*p6*p4
*p1^4-2077286400*p6*p3^2*p2+541900800*p6*p3^2*p1^2+2709504*p6*p3*p1^5-45722880*
p6*p2^3*p1^2+5080320*p6*p2^2*p1^4-112896*p6*p2*p1^6-3338108928*p5^2*p3*p1+
634023936*p5^2*p2*p1^2-82575360*p7*p3*p1^4+522547200*p7*p2^3*p1-121927680*p7*p2
^2*p1^3+4644864*p7*p2*p1^5-6089932800*p7*p3^2*p1-4319723520*p7*p3*p2^2+
2024870400*p8*p2^2*p1^2-145152000*p8*p2*p1^4+159318835200*p7*p6*p1+65803124736*
p7*p5*p2+483840*(-6963264080+470419945/2*n-4756085/2*n^2+7290*n^3)*p4*p3*p2*p1+
120960*(6108000-38880*n)*p4*p3*p2^2*p1+193536*(8338156-83479*n+215*n^2)*p5*p3*
p2*p1^2+290304*(-48384040+875655/2*n-1775/2*n^2)*p5*p4*p2*p1+322560*(-49712208+
555534*n-1806*n^2)*p6*p3*p2*p1+80640*(-1282430+9720*n)*p4*p3*p2*p1^3-\
904130429977950336*n^6+14225737267823606784*n^5-80382927744*n^10+9303167540736*
n^9-353859010560*p7^2+1161216*(1020872973120-184692798290/3*n+2088668725/2*n^2-\
18439135/3*n^3+25025/2*n^4)*p10+3024*(841935600-25333560*n+204120*n^2)*p2^5+
16128*(-177744111840+22876528686*n-2329799595/2*n^2+61508673/2*n^3-456948*n^4+
7473/2*n^5-27/2*n^6)*p1^6+1451520*(-544467735911376+532557091111138/3*n-\
203480019561233/10*n^2+4352222247095/4*n^3-368571436825/12*n^4+6026612945/12*n^
5-304151947/60*n^6+60911/2*n^7-171/2*n^8)*p2^2+5806080*(-355572011995200+
1198685636058188/5*n-1690130588511709/30*n^2+756090803218129/120*n^3-\
30770039564991/80*n^4+1112078477797/80*n^5-25136099551/80*n^6+183808777/40*n^7-\
10472377/240*n^8+12101/48*n^9-11/16*n^10)*p1^2+161280*(-2195058096+21621348*n-\
72324*n^2)*p6^2+362880*(-11077713927280+993813816660*n-27815385100*n^2+
315442700*n^3-1764400*n^4+3900*n^5)*p4^2+30240*(-310096320912+20664698508*n-\
495502704*n^2+5454864*n^3-24300*n^4)*p2^4+288*(-264154464+17926036*n-446316*n^2
+5072*n^3-24*n^4)*p1^8+645120*(-144827222672352+25078321803918*n-2962689105039/
2*n^2+155593036121/4*n^3-2076128209/4*n^4+15744883/4*n^5-62633/4*n^6+21*n^7)*p3
^2+241920*(32127224561208-4450499789424*n+441223725435/2*n^2-5302069962*n^3+
140909319/2*n^4-521559*n^5+1728*n^6)*p2^3+2903040*(1133960882854800-\
1465955066759170/3*n+445783480574939/6*n^2-20897877814145/4*n^3+375228634497/2*
n^4-21768925853/6*n^5+159506857/4*n^6-779185/3*n^7+11105/12*n^8-5/4*n^9)*p4+
483840*(-27631730835744+20258273727688/3*n-3853343738087/6*n^2+381695432273/12*
n^3-1844983107/2*n^4+66249105/4*n^5-2232011/12*n^6+1231*n^7-15/4*n^8)*p1^4+
5806080*(717279003302400-23315673199284068/35*n+6224493363796091/30*n^2-\
3499567206950129/120*n^3+33493998558411/16*n^4-19713527405473/240*n^5+
148555254979/80*n^6-21577224197/840*n^7+10926457/48*n^8-19737/16*n^9+51/16*n^10
)*p2+967680*(11639628000-254926152*n+970632*n^2)*p12-790927441920*p9*p5+
1937295360*p10*p1^4-42268262400*p11*p1^3-929901772800*p10*p4+104613949440*p10*
p2^2+646704414720*p12*p1^2-1420213616640*p11*p3-6301222502400*p13*p1-\
2525226762240*p12*p2-63866880*p9*p1^5-726932828160*p8*p6+1451520*p8*p1^6-\
2743372800*p8*p2^3+31352832000*p8*p3^2-8534937600*p6^2*p1^2+31863767040*p6^2*p2
-18432*p7*p1^7-258048000*p5*p3^3+1306368*p2^3*p1^6+215550720*p2^5*p1^2-\
697269872280960*n^8+32613984845584128*n^7+29705763225600*p14-1088640*n^12+
427472640*n^11+1161216/5*(-280873897920+33532870210/3*n-112347295*n^2+1418870/3
*n^3-665*n^4)*p5^2+1935360*(342595921908240-390902809345884/5*n+12458764080193/
2*n^2-1784400017617/8*n^3+62657459949/16*n^4-1435555793/40*n^5+712677/4*n^6-\
1757/4*n^7+7/16*n^8)*p6+17920/3*(-29073600+172800*n)*p3^4+1451520*(
31420011823200-3848107516044*n+154846141261*n^2-5145282695/2*n^3+38804443/2*n^4
-137497/2*n^5+195/2*n^6)*p8+30240*(223776000-1512000*n)*p4^3+10668672000*p6*p4^
2-32659200*p2^4*p1^4+45722880*p6*p2^4+10079354880*p5^2*p4-1170505728*p5^2*p2^2-\
27095040*p5^2*p1^4
[6, 2, 2, 2, 2, 2, 2, 2, 2, 2]
-11970891892397927301120*n-125411328*p2^3*p1^6-18432*p2*p1^10+2737152*p2^2*p1^8
+919683072000*p8*p3*p2*p1+8709120*(-3607800+25200*n)*p4^2*p2*p1^2+4644864*(
825147-18045/2*n+45/2*n^2)*p5*p2^2*p1^3+4644864/5*(-225635+5955/2*n-15/2*n^2)*
p5*p2*p1^5+9289728*(13155804-105993*n+225*n^2)*p5*p3*p2^2+3096576*(1078996-\
11577*n+25*n^2)*p5*p3*p1^4+4644864*(-2949183+54675/2*n-135/2*n^2)*p5*p2^3*p1+
12386304*(16555120-133290*n+250*n^2)*p5*p3^2*p1+9289728*(-5467785+101815/2*n-\
175/2*n^2)*p5*p4*p1^3+18579456*(-78175860+570395*n-875*n^2)*p5*p4*p3+10321920*(
-5557482+68250*n-210*n^2)*p6*p3*p1^3+11612160*(-4304664+56133*n-189*n^2)*p6*p2^
2*p1^2+3870720*(1194900-18459*n+63*n^2)*p6*p2*p1^4+19906560*(21301974-305046*n+
1134*n^2)*p7*p2^2*p1+13271040*(-5954922+100170*n-378*n^2)*p7*p2*p1^3+37158912*(
-139143690+1313739*n-3801*n^2)*p6*p5*p1+23224320*(-93363060+847665*n-2205*n^2)*
p6*p4*p2+23224320*(27598200-279615*n+735*n^2)*p6*p4*p1^2+46448640*(-130468305+
1799820*n-6600*n^2)*p8*p3*p1+34836480*(28598856-505692*n+1980*n^2)*p8*p2*p1^2+
39813120*(-134482770+1427490*n-4410*n^2)*p7*p4*p1+26542080*(-94468968+1099764*n
-3780*n^2)*p7*p3*p2+26542080*(27338856-361548*n+1260*n^2)*p7*p3*p1^2+61931520*(
-134197635+4884165/2*n-19305/2*n^2)*p9*p2*p1+185794560*(-8326849798527+
15593990234543/12*n-73358660901*n^2+94759642981/48*n^3-452665625/16*n^4+3582865
/16*n^5-13663/16*n^6+3/4*n^7)*p3*p2*p1+79626240*(-13689685314+641740206*n-\
18119169/2*n^2+49077*n^3-189/2*n^4)*p7*p2*p1+61931520*(-15152322990+632842364*n
-14695149/2*n^2+33565*n^3-105/2*n^4)*p6*p3*p1+46448640*(2871084468-259214739/2*
n+7083741/4*n^2-18123/2*n^3+63/4*n^4)*p6*p2*p1^2+55738368*(-16221918265+
7752195475/12*n-53078225/8*n^2+302645/12*n^3-175/8*n^4)*p5*p4*p1+37158912*(-\
12685818264+896415723/2*n-18564313/4*n^2+34631/2*n^3-75/4*n^4)*p5*p3*p2+
37158912*(3069068616-746200087/6*n+5621875/4*n^2-34331/6*n^3+25/4*n^4)*p5*p3*p1
^2+27869184*(2463090239-378867771/4*n+8751843/8*n^2-17805/4*n^3+45/8*n^4)*p5*p2
^2*p1+18579456*(-586634487+101086005/4*n-2611025/8*n^2+5875/4*n^3-15/8*n^4)*p5*
p2*p1^3+15482880*(-602103675+47054545/2*n-506965/2*n^2+810*n^3)*p4*p3*p1^3+
17418240*(-483281490+17778240*n-188100*n^2+540*n^3)*p4*p2^2*p1^2+5806080*(
115261250-4680360*n+54840*n^2-180*n^3)*p4*p2*p1^4+15482880*(-474315380+16340898
*n-157746*n^2+360*n^3)*p3^2*p2*p1^2+3440640*(-2217900+10800*n)*p3^3*p2*p1+
3870720*(477180-2160*n)*p3^2*p2^2*p1^2+1290240*(-130260+720*n)*p3^2*p2*p1^4+
967680*(357291-972*n)*p3*p2^4*p1+1290240*(-95337+324*n)*p3*p2^3*p1^3+387072*(
24579-108*n)*p3*p2^2*p1^5+36864*(-6033+36*n)*p3*p2*p1^7+2903040*(535680-3240*n)
*p4*p2^3*p1^2+1451520*(-145800+1080*n)*p4*p2^2*p1^4+193536*(38520-360*n)*p4*p2*
p1^6+774144*(-195985+1620*n)*p4*p3*p1^5+7741440*(-3195700+20400*n)*p4*p3^2*p1^2
+7741440*(11015100-61200*n)*p4*p3^2*p2+11612160*(15567475-98700*n)*p4^2*p3*p1+
2090188800*p5*p3*p2^2*p1^2-232243200*p5*p3*p2*p1^4-9289728000*p5*p3^2*p2*p1+
2438553600*p5*p4*p2*p1^3+48771072000*p5*p4*p3*p2-16257024000*p5*p4*p3*p1^2-\
10973491200*p5*p4*p2^2*p1-51209625600*p6*p4*p2*p1^2-29262643200*p6*p3*p2^2*p1+
6502809600*p6*p3*p2*p1^3+423723073536*p6*p5*p2*p1+227598336000*p6*p4*p3*p1+
526727577600*p7*p4*p2*p1-100329062400*p7*p3*p2*p1^2+7741440*(-377959149+
24677973/2*n-221373/2*n^2+162*n^3)*p3*p2^3*p1+7741440*(91784625-6494859/2*n+
62559/2*n^2-54*n^3)*p3*p2^2*p1^3+1548288*(-21701849+1659573/2*n-17349/2*n^2+18*
n^3)*p3*p2*p1^5+111476736*(-546576972980+588543334067/12*n-1502865246*n^2+
976931563/48*n^3-2115259/16*n^4+5795/16*n^5-5/16*n^6)*p5*p2*p1+92897280*(-\
615187482000+632544226045/12*n-11929587095/8*n^2+214642685/12*n^3-809065/8*n^4+
405/2*n^5)*p4*p3*p1+69672960*(114910025004-9670431638*n+284808580*n^2-3735365*n
^3+22440*n^4-45*n^5)*p4*p2*p1^2+46448640*(109323925900-32548942533/4*n+
1698297285/8*n^2-9987357/4*n^3+101547/8*n^4-27/2*n^5)*p3*p2^2*p1+30965760*(-\
22896403506+7322454475/4*n-417646871/8*n^2+2656059/4*n^3-29001/8*n^4+9/2*n^5)*
p3*p2*p1^3+17418240*(-101937528+1540836*n-5940*n^2)*p8*p2^2+5806080*(-7808592+
165924*n-660*n^2)*p8*p1^4+31850496*(672644280-6352646*n+20166*n^2)*p7*p5+
1114767360/11*(780812890-17240652*n+68068*n^2)*p11*p1+55738368*(620548500-\
11447865*n+45045*n^2)*p10*p2+55738368*(-170038440+3755895*n-15015*n^2)*p10*p1^2
+41287680*(610098060-8612175*n+32175*n^2)*p9*p3+725760*(-1924560+9720*n)*p4*p2^
4+1451520*(1036000-8400*n)*p4^2*p1^4+221184/5*(59815-1965/2*n+5/2*n^2)*p5*p1^7+
4354560*(12411000-75600*n)*p4^2*p2^2+55738368/5*(-94124100+793530*n-1890*n^2)*
p5^2*p2+55738368/5*(28005180-261990*n+630*n^2)*p5^2*p1^2+258048*(-322560+6069*n
-21*n^2)*p6*p1^6+3870720*(15188796-170667*n+567*n^2)*p6*p2^3+10321920*(-\
82635840+758100*n-2100*n^2)*p6*p3^2+1327104*(1620150-32886*n+126*n^2)*p7*p1^5+
20643840*(36711675-1602315/2*n+6435/2*n^2)*p9*p1^3+34836480*(638993520-6949140*
n+23100*n^2)*p8*p4+139345920*(34943820707598-37462296549217/6*n+1542321156609/4
*n^2-32373834667/3*n^3+622559325/4*n^4-1248225*n^5+10335/2*n^6-15/2*n^7)*p4*p2+
139345920*(-6981455503510+7187993197901/6*n-914850147955/12*n^2+14115317363/6*n
^3-462493135/12*n^4+2051495/6*n^5-9245/6*n^6+5/2*n^7)*p4*p1^2+61931520*(
1653608725563-1018880790117/4*n+59663272321/4*n^2-6955126433/16*n^3+110058399/
16*n^4-946719/16*n^5+3893/16*n^6-1/4*n^7)*p3*p1^3+69672960*(1737559617954-\
496826878201/2*n+53535173555/4*n^2-358169568*n^3+20928879/4*n^4-82869/2*n^5+285
/2*n^6)*p2^2*p1^2+23224320*(-347782079850+298012015159/6*n-11053348703/4*n^2+
234987586/3*n^3-4897041/4*n^4+20561/2*n^5-37*n^6)*p2*p1^4+371589120*(
112265831877065-933014247802033/24*n+155653980652939/32*n^2-28062384463897/96*n
^3+3630767747555/384*n^4-16798958111/96*n^5+368114519/192*n^6-1184321/96*n^7+
5113/128*n^8-1/32*n^9)*p3*p1+278691840*(-34187865446912+146304554148724/15*n-\
20868664812499/20*n^2+672030796457/12*n^3-27155299475/16*n^4+1849607659/60*n^5-\
13669657/40*n^6+2200*n^7-103/16*n^8)*p2*p1^2+92897280*(-489780381948+
50453459784*n-7298499733/4*n^2+234146171/8*n^3-1748607/8*n^4+5845/8*n^5-7/8*n^6
)*p6*p1^2+74317824*(2947637696960-814601168491/3*n+31514279919/4*n^2-755014751/
8*n^3+13353293/24*n^4-33931/24*n^5+25/24*n^6)*p5*p3+37158912*(110187989864-\
126330388423/12*n+1440462439/4*n^2-88994335/16*n^3+1915399/48*n^4-5735/48*n^5+5
/48*n^6)*p5*p1^3+34836480*(-560294396592+43283345724*n-1142186250*n^2+13622385*
n^3-75330*n^4+135*n^5)*p4*p2^2+11612160*(-23658390168+6334172998/3*n-68307035*n
^2+3006785/3*n^3-6625*n^4+15*n^5)*p4*p1^4+30965760*(-590968582104+43660195147*n
-2171796323/2*n^2+12207207*n^3-125061/2*n^4+90*n^5)*p3^2*p2+30965760*(
121586243928-9880741597*n+551918889/2*n^2-3362625*n^3+37007/2*n^4-30*n^5)*p3^2*
p1^2+3096576*(4791232440-1612228533/4*n+99091213/8*n^2-686893/4*n^3+8131/8*n^4-\
3/2*n^5)*p3*p1^5+11612160*(-20528701236+1519377264*n-40277601*n^2+474984*n^3-\
2187*n^4)*p2^3*p1^2+5806080*(4347514840-339463728*n+9599388*n^2-119892*n^3+576*
n^4)*p2^2*p1^4+774144*(-916782540+74243986*n-2203996*n^2+28926*n^3-144*n^4)*p2*
p1^6+9289728/5*(136128555-78200465/12*n+772715/8*n^2-5815/12*n^3+5/8*n^4)*p5*p1
^5+17418240*(-13011519150+440407800*n-4202100*n^2+12600*n^3)*p4^2*p2+17418240*(
3167061150-123793100*n+1276100*n^2-4200*n^3)*p4^2*p1^2+15482880*(-12636949500+
394998410*n-3655970*n^2+10200*n^3)*p4*p3^2+5806080*(1973516130-65817900*n+
638820*n^2-1620*n^3)*p4*p2^3+387072*(-26777490+1190300*n-15800*n^2+60*n^3)*p4*
p1^6+6881280*(2418273400-77891330*n+726810*n^2-1800*n^3)*p3^3*p1+7741440*(
1913496180-59976414*n+538758*n^2-1080*n^3)*p3^2*p2^2+2580480*(114410500-4359566
*n+45702*n^2-120*n^3)*p3^2*p1^4+73728*(4984021-407659/2*n+4695/2*n^2-6*n^3)*p3*
p1^7+1451520*(73305054-2396628*n+19764*n^2)*p2^4*p1^2+967680*(-17395182+602532*
n-5184*n^2)*p2^3*p1^4+193536*(4003134-145224*n+1296*n^2)*p2^2*p1^6+13824*(-\
886862+33000*n-300*n^2)*p2*p1^8+159252480*(2094426993120-470275676373/2*n+
36039638315/4*n^2-594029467/4*n^3+1127880*n^4-15771/4*n^5+21/4*n^6)*p7*p1+
92897280*(2491228753200-240620766785*n+30647335929/4*n^2-848287181/8*n^3+
5728905/8*n^4-17787/8*n^5+21/8*n^6)*p6*p2+123863040*(65393448835-15300670385/4*
n+521983605/8*n^2-1567995/4*n^3+6435/8*n^4)*p9*p1+69672960*(64229010714-\
3105519318*n+44617089*n^2-247566*n^3+495*n^4)*p8*p2+69672960*(-14344882794+
802816454*n-13544355*n^2+81202*n^3-165*n^4)*p8*p1^2+53084160*(73230394776-\
3127846218*n+36762837*n^2-177414*n^3+315*n^4)*p7*p3+26542080*(3108758442-\
166116594*n+5472699/2*n^2-16107*n^3+63/2*n^4)*p7*p1^3+46448640*(80842760460-\
6547502255/2*n+133627725/4*n^2-275695/2*n^3+735/4*n^4)*p6*p4+23224320*(-\
12136089084+966432789/2*n-23472855/4*n^2+55125/2*n^3-189/4*n^4)*p6*p2^2+7741440
*(-660595404+67106389/2*n-2123583/4*n^2+5957/2*n^3-21/4*n^4)*p6*p1^4+6912*(-\
9760+120*n)*p4*p1^8+1146880*(627300-3600*n)*p3^3*p1^3+1290240*(-1712340+6480*n)
*p3^2*p2^3+86016*(34620-240*n)*p3^2*p1^6+1024*(1371-12*n)*p3*p1^9+222953472*(
26434295849720-124530947090005/24*n+105712325333825/288*n^2-1170118497859/96*n^
3+239686579703/1152*n^4-15165497/8*n^5+5258299/576*n^6-1885/96*n^7+5/384*n^8)*
p5*p1-9876142080*p2^5*p1^2+2037934080*p2^4*p1^4+6348948480*p2^6-\
11773502399327538880512*n^3+2813623316094540386304*n^4-229025642489856*n^9+
1983838252032*n^10-10468362240*n^11+26127360*n^12+11496038400*p8*p2*p1^4-\
5003075911680*p7*p6*p1-1926891307008*p7*p5*p2+642297102336*p7*p5*p1^2+185794560
*(-89505528722610+83041308682893/4*n-80692162612339/48*n^2+977095745423/16*n^3-\
208242652261/192*n^4+80217515/8*n^5-4769597/96*n^6+1911/16*n^7-7/64*n^8)*p6-\
1170505728000*p7*p4*p3+222953472000*p7*p3^2*p1-58525286400*p7*p4*p1^3-\
11158821273600*p10*p3*p1-20694541271040*p11*p2*p1+2510734786560*p10*p2*p1^2+
23224320*(-8861942752026+2521281581037/2*n-257249669355/4*n^2+3179837817/2*n^3-\
86202927/4*n^4+160542*n^5-1053/2*n^6)*p2^3+1328431104000*p9*p3*p1^2-\
3985293312000*p9*p3*p2-6974263296000*p9*p4*p1+18579456*(-3795008+35031*n-75*n^2
)*p5*p3*p2*p1^2-199264665600*p9*p2*p1^3+11612160*(-2494665+14580*n)*p4*p3*p2^2*
p1+7741440*(705555-4860*n)*p4*p3*p2*p1^3+896690995200*p9*p2^2*p1+46448640*(
2482639175-171854895/2*n+1699935/2*n^2-2430*n^3)*p4*p3*p2*p1+290304*(-300978990
+9234000*n-72900*n^2)*p2^5-28085448867840*p12*p1^2+103464345600*p8*p2^3+
45987869491200*p11*p3+226844010086400*p13*p1+84256346603520*p12*p2-139485265920
*p10*p1^4+2299393474560*p11*p1^3-901289410560*p6^2*p2+7962624*p7*p1^7+
300429803520*p6^2*p1^2-255467520*p8*p1^6+9837981204480*p7^2+278691840*(-\
284158445290720+124137968440064*n-172455769149752/9*n^2+2736430506367/2*n^3-\
3588744205237/72*n^4+46845308275/48*n^5-97437389/9*n^6+1690555/24*n^7-5905/24*n
^8+5/16*n^9)*p4+15482880*(685737360-6189876*n+19404*n^2)*p6^2+34836480*(
3118805326560-853825560910/3*n+8055080075*n^2-274320200/3*n^3+501025*n^4-1050*n
^5)*p4^2+139345920*(138729790245240-690579112855757/15*n+107573699116367/20*n^2
-880577621237/3*n^3+135491414655/16*n^4-2829413179/20*n^5+57924461/40*n^6-34881
/4*n^7+387/16*n^8)*p2^2+21245146323596044959744*n^2+21553419456639673344*n^6-\
335158943004560553984*n^5-910976738918400*p14-786603502945548288*n^7+
17006137993737216*n^8-102187008000*p8*p3*p1^3+804722688000*p8*p4*p1^2+111476736
/5*(83696608380-3348035005*n+65581125/2*n^2-129315*n^3+315/2*n^4)*p5^2-\
2414168064000*p8*p4*p2-47080341504*p6*p5*p1^3-941606830080*p6*p5*p3-501645312*
p7*p2*p1^5+7524679680*p7*p2^2*p1^3+111476736*(-296118602780+36178597455/2*n-\
1233471525/4*n^2+3675815/2*n^3-15015/4*n^4)*p10-22574039040*p7*p2^3*p1+
5573836800*p7*p3*p1^4+150493593600*p7*p3*p2^2+27869184*(18689245-307545/2*n+525
/2*n^2)*p5*p4*p2*p1+65028096000*p6*p3^2*p2+2844979200*p6*p4*p1^4+76814438400*p6
*p4*p2^2-216760320*p6*p3*p1^5-21676032000*p6*p3^2*p1^2+30965760*(19322646-\
207270*n+630*n^2)*p6*p3*p2*p1+2903040*(96290945856-6646892670*n+163800009*n^2-\
1820718*n^3+8019*n^4)*p2^4+16257024*p6*p2*p1^6-365783040*p6*p2^2*p1^4+
2194698240*p6*p2^3*p1^2+93640458240*p5^2*p3*p1-81285120*p5*p4*p1^5+42674688000*
p5*p4^2*p1-21069103104*p5^2*p2*p1^2-331776*p5*p2*p1^7+139345920*(-8625067811360
+1074220618570*n-43834431168*n^2+1470475083/2*n^3-11198033/2*n^4+39721/2*n^5-55
/2*n^6)*p8+10450944*p5*p2^2*p1^5-104509440*p5*p2^3*p1^3+235146240*p5*p2^4*p1+
5160960*p5*p3*p1^6-2090188800*p5*p3*p2^3+1032192000*p5*p3^2*p1^3+2903040*(-\
72912000+441000*n)*p4^3+557383680*(87578452511550-8424238962000423/140*n+
10431471403807823/720*n^2-240454570624055/144*n^3+304260566268581/2880*n^4-\
5722088090687/1440*n^5+16833465893/180*n^6-89295224/63*n^7+13249523/960*n^8-\
7741/96*n^9+7/32*n^10)*p1^2-103464345600*p8*p2^2*p1^2+3072*p5*p1^9+6642155520*
p9*p1^5+23096988794880*p9*p5-3766102179840*p10*p2^2+29291905843200*p10*p4+
1548288*(70616671890-20075114185/2*n+2273991895/4*n^2-33417323/2*n^3+1094801/4*
n^4-2409*n^5+9*n^6)*p1^6-5531893678080*p8*p5*p1+61931520*(38646812480364-\
6818439015289*n+409894786759*n^2-43707697821/4*n^3+589184443/4*n^4-4441683/4*n^
5+17041/4*n^6-5*n^7)*p3^2+46448640*(7926952662464-30658618800778/15*n+
3098486951096/15*n^2-43720975659/4*n^3+8142980077/24*n^4-389690173/60*n^5+
769041/10*n^6-3163/6*n^7+13/8*n^8)*p1^4-1021870080000*p8*p3^2+20439956275200*p8
*p6+31603654656*p5^2*p2^2+1170505728*p5^2*p1^4-245806202880*p5^2*p4-193536*p6*
p1^8+6881280000*p5*p3^3-1646023680*p6*p2^4-298722816000*p6*p4^2+92897280*(-\
3569485920+77899848*n-302328*n^2)*p12+1536/5*(186430-6860*n+60*n^2)*p1^10+
573440*(9804000-48000*n)*p3^4+27648*(192231984-15880154*n+484411*n^2-6530*n^3+
33*n^4)*p1^8+557383680*(-173983350721950+22843191498752967/140*n-\
37050166932541271/720*n^2+1760523830321171/240*n^3-1539263168723213/2880*n^4+
106475446941/5*n^5-176044909537/360*n^6+11534008813/1680*n^7-58887899/960*n^8+
2653/8*n^9-27/32*n^10)*p2
[5, 5, 5, 3]
-175479297986250*n+94500*p5*p4*p2*p1+180000*p3*p1^5-15625/144*n^11+7560000*p5*
p3*p1^2+3240000*p7*p1^3-189000*p5*p2*p1^3-180000*p4*p3*p1^3-31500*p6*p1^4+4500*
p4*p2*p1^4-90000*p3^2*p2*p1^2-3000*p2*p1^6+375/4*(416880-7680*n)*p4*p3*p2*p1+
34020000*p7*p5+1125/16*(872280-20232*n+72*n^2)*p8*p4+225/2*(470800-9680*n)*p10*
p2+1125/128*(15680-384*n)*p4^2*p2^2+375/8*(-105840+2352*n)*p6*p4*p2-315000*p6*
p3^2-661500*p5^2*p2+1125/32*(-41040+864*n)*p8*p2^2+1125/32*(-17400256+2522944/3
*n-14016*n^2+224/3*n^3)*p4^2*p2+1125/32*(306240-5792*n+32*n^2)*p4^2*p1^2+125/4*
(-10969200+231120*n-720*n^2)*p4*p3^2+375/32*(1439520-66240*n+864*n^2)*p4*p2^3+
1125/8*(-1650240+20232*n-72*n^2)*p8*p1^2+750/7*(90442800-2726640*n+5040*n^2)*p7
*p3+375/4*(122763144-5525212*n+85848*n^2-476*n^3)*p6*p4+375/8*(-11429040+474600
*n-5544*n^2)*p6*p2^2+375/16*(-2490720+83520*n-864*n^2)*p2^3*p1^2+375/32*(70080-\
1152*n)*p2^2*p1^4+250*(34214400-952380*n+1980*n^2)*p9*p1+1125/8*(84171576-\
3767568*n+52056*n^2-168*n^3)*p8*p2+2250/7*(2652279000-190163400*n+3700200*n^2-\
16800*n^3)*p7*p1+375/2*(5212547200-439649154*n+12894182*n^2-177366*n^3+994*n^4)
*p6*p2+375/2*(-232658832+10267012*n-100128*n^2+476*n^3)*p6*p1^2+150*(6081180000
-458015250*n+9497250*n^2-42000*n^3)*p5*p3+75*(14758800-354060*n+1260*n^2)*p5*p1
^3+1125/16*(-941463040+204812032/3*n-1958864*n^2+81368/3*n^3-152*n^4)*p4*p2^2+
375/16*(-900000+17376*n-96*n^2)*p4*p1^4-7875*p6*p4^2+125/2*(-885412920+47448480
*n-650160*n^2+1680*n^3)*p3^2*p2+125/2*(25905600-519120*n+720*n^2)*p3^2*p1^2-\
1080000*p7*p3*p2+20250*p8*p2*p1^2-405000*p8*p3*p1-990000*p9*p2*p1-10125*p8*p4*
p2+375/8*(-70959840+3421024*n-49728*n^2+224*n^3)*p2*p1^4+450*(65212753200-\
19004036555/2*n+1802834915/4*n^2-8381415*n^3+223405/4*n^4-175/2*n^5)*p5*p1+1125
/4*(109447054944-50949032090/3*n+8381907454/9*n^2-74635264/3*n^3+3498055/9*n^4-\
3418*n^5+115/9*n^6)*p4*p2+1125/4*(-9474674400+2870745544/3*n-88431010/3*n^2+
350444*n^3-7166/3*n^4+20/3*n^5)*p4*p1^2+125*(947294640-60517620*n+956820*n^2-\
4800*n^3)*p3*p1^3+1125/8*(1486515840-343847560/3*n+2876584*n^2-95288/3*n^3+152*
n^4)*p2^2*p1^2+750*(451888977600-256702480805/2*n+149020704815/12*n^2-527134885
*n^3+124130885/12*n^4-178625/2*n^5+875/3*n^6)*p3*p1+1125/2*(-98133471744+
19968978292*n-12240593350/9*n^2+119444170/3*n^3-4955215/9*n^4+11954/3*n^5-115/9
*n^6)*p2*p1^2+125/8*(525600-8640*n)*p3^2*p2^2+45000*p4*p3^2*p2-1890000*p5*p4*p3
-661500*p6*p5*p1+31500*p6*p4*p1^2-1620000*p7*p4*p1+45000*p4^2*p3*p1-2250*p4^2*
p2*p1^2+375/2*(-514718100+25092140*n-314940*n^2+1600*n^3)*p4*p3*p1+1125/8*(
31129968-3595984/3*n+15296*n^2-224/3*n^3)*p4*p2*p1^2+375/4*(51718200-1961040*n+
18720*n^2)*p3*p2^2*p1+125/2*(-1241040+23040*n)*p3*p2*p1^3+1125/7*(-3984960+
80640*n)*p7*p2*p1+125*(-3977820+45360*n)*p6*p3*p1+375/4*(156240-2352*n)*p6*p2*
p1^2+225/2*(-5701500+118020*n-420*n^2)*p5*p4*p1+75*(-9689400+201600*n)*p5*p3*p2
+225/4*(306600-5040*n)*p5*p2^2*p1+1125/32*(-19520+384*n)*p4*p2^2*p1^2-\
46982301125/6*n^7+16324846375/96*n^8+1800000*p3^3*p1+375*(-15197219280+
1621917000*n-54801140*n^2+711060*n^3-3400*n^4)*p3*p2*p1+225*(-458848320+
24070480*n-333060*n^2+980*n^3)*p5*p2*p1+375/4*(11384048640-1557096028*n+
65595394*n^2-1042152*n^3+7766*n^4-20*n^5)*p1^4+1125*(-1087281119232+
17064844870079/18*n-4900207529653/18*n^2+22629929037337/648*n^3-164699976799/72
*n^4+9024703621/108*n^5-16836980/9*n^6+6072559/216*n^7-6415/24*n^8+100/81*n^9)*
p2+1125*(487243653120-864536163632/3*n+508225881542/9*n^2-44129926201/9*n^3+
1253131457/6*n^4-161811133/36*n^5+588227/12*n^6-10015/36*n^7+25/36*n^8)*p1^2-\
241129375/96*n^9+6809375/288*n^10+2417736620760125/8*n^2+375/2*(-4084080+87542*
n-182*n^2)*p12+375/64*(-216480+5792*n-32*n^2)*p4^3+125/4*(776160-14112*n)*p6^2+
375/8*(-22799970720+2807476100*n-131529220*n^2+3299564*n^3-46092*n^4+288*n^5)*
p2^3+1125/4*(-22088066000+2395587045*n-171496959/2*n^2+1278894*n^3-17349/2*n^4+
15*n^5)*p8+375/64*(113924800-7492320*n+185760*n^2-1728*n^3)*p2^4+45*(112308000-\
3535350*n+7350*n^2)*p5^2+225*(-507787280+27643990*n-418770*n^2+1980*n^3)*p10+
125*(120295468800-17992132740*n+882373485*n^2-16976940*n^3+110745*n^4-150*n^5)*
p3^2+25/8*(2966400-86880*n+480*n^2)*p1^6+1125/2*(-1407408620800+1106936022805/2
*n-2733977747591/36*n^2+173103769873/36*n^3-947053319/6*n^4+53090729/18*n^5-\
69267/2*n^6+8515/36*n^7-25/36*n^8)*p4+1125/4*(609987353600-534182002621/3*n+
328697527763/18*n^2-2673095132/3*n^3+440136011/18*n^4-1285673/3*n^5+41353/9*n^6
-70/3*n^7)*p2^2+1125/16*(6772502000-1701623860/3*n+50856226/3*n^2-265504*n^3+
6566/3*n^4-20/3*n^5)*p4^2+24570000*p11*p1-297000*p10*p1^2+29700000*p9*p3+68250*
p12*p2+148500*p10*p4+375*p4^3*p2+375*(-328209737856+133834069145/2*n-\
56949265261/12*n^2+609305305/4*n^3-7415569/3*n^4+88109/4*n^5-1015/12*n^6)*p6+
70875*p8*p6-1530000*p14-1106330165261125/288*n^5+21845212314875/96*n^6+
10101966544486375/288*n^4-1265540156971375/8*n^3
[5, 5, 5, 2, 2]
-1980000*p9*p1^3+3117390455040000*n-1440000*p7*p3*p1^2-2610000*p5^2*p1^2-720000
*p5*p3^2*p1+4320000*p7*p3*p2+3360000*p6*p3^2+1000*(143150179920-16852408155*n+
654368750*n^2-10658385*n^3+83290*n^4-300*n^5)*p3*p2*p1+40500*p8*p4*p2-180000*p4
*p3^2*p2+1000/3*(229680-2970*n)*p9*p2*p1+250*(266760-2160*n)*p8*p3*p1+375/2*(-\
13392+216*n)*p8*p2*p1^2+375/4*(486400-15216*n+144*n^2)*p4*p2^2*p1^2+3000/7*(
65147040-1974420*n+15120*n^2)*p7*p2*p1+1000/3*(80902080-2202480*n+10080*n^2)*p6
*p3*p1+250*(-5839680+135408*n-1008*n^2)*p6*p2*p1^2+375/8*(5312-96*n)*p4^2*p2*p1
^2+125/2*(-70560+960*n)*p4^2*p3*p1+100*(583200-7200*n)*p5*p4*p3+200*(564480-\
5040*n)*p6*p5*p1+125*(406560-6048*n)*p6*p4*p2+125*(-53088+672*n)*p6*p4*p1^2+
1500/7*(627480-10080*n)*p7*p4*p1+125/4*(-37056+576*n)*p4*p2*p1^4+250/3*(162720-\
2160*n)*p3^2*p2*p1^2+600*(5395190880-340565215*n+6686970*n^2-51875*n^3+150*n^4)
*p5*p2*p1+300*(106097460-3671600*n+33900*n^2-100*n^3)*p5*p4*p1+200*(73583100-\
1747800*n+10800*n^2)*p5*p3*p2+200*(-6995700+131400*n)*p5*p3*p1^2+150*(-5512800+
138960*n-1080*n^2)*p5*p2^2*p1+100*(443160-5940*n)*p5*p2*p1^3+250/3*(570600-\
10080*n)*p4*p3*p1^3+500*(6455811000-402859080*n+7632940*n^2-55860*n^3+200*n^4)*
p4*p3*p1+375*(-624949552+97323304/3*n-561956*n^2+14552/3*n^3-20*n^4)*p4*p2*p1^2
+250*(-632095200+27666960*n-399960*n^2+2160*n^3)*p3*p2^2*p1+500/3*(54000360-\
1835100*n+15120*n^2)*p3*p2*p1^3+375/4*(77760-1296*n)*p8*p2^2+1200/7*(-6218100+
75600*n)*p7*p5+27000*p8*p1^4+60*(440100-5400*n)*p5^2*p2+6000/11*(-3563560+60060
*n)*p11*p1+300*(-2702700+34320*n)*p10*p2+300*(288860-2860*n)*p10*p1^2+2000/9*(-\
3370950+29700*n)*p9*p3+375/2*(-6425280+110232*n-72*n^2)*p8*p4+375/4*(102955824-\
3465912*n+34480*n^2-88*n^3)*p4^2*p2+375/4*(-10476368+1014968/3*n-3296*n^2+40/3*
n^3)*p4^2*p1^2+250/3*(91602000-2311920*n+15120*n^2)*p4*p3^2+125/4*(-4049280+
131760*n-1296*n^2)*p4*p2^3+1000/27*(-4546800+64800*n)*p3^3*p1+125/3*(-950400+
12960*n)*p3^2*p2^2-2574000*p10*p4+375*(57641028-1850646*n+11916*n^2-30*n^3)*p8*
p1^2+108000*p5^2*p4+2000/7*(-799148700+27032040*n-156240*n^2)*p7*p3+1000/7*(-\
5365080+105840*n)*p7*p1^3+250*(-994119336+38674048*n-360864*n^2+896*n^3)*p6*p4+
125*(59760960-1512000*n+12096*n^2)*p6*p2^2+125/3*(431424-4032*n)*p6*p1^4+2000/3
*(-528195360+45581745/2*n-239085*n^2+825/2*n^3)*p9*p1+375*(-619482204+22482882*
n-189000*n^2+198*n^3)*p8*p2+375/16*(-30720+576*n)*p4^2*p2^2+750*(-839733075936+
381381452705/3*n-38174348453/6*n^2+264560499/2*n^3-1242257*n^4+38213/6*n^5-85/6
*n^6)*p4*p2+750*(107737082272-40541867819/3*n+10307911501/18*n^2-61881343/6*n^3
+797081/9*n^4-2995/6*n^5+25/18*n^6)*p4*p1^2+1000/3*(-16312706640+1601009055*n-\
50321790*n^2+582555*n^3-2100*n^4)*p3*p1^3+6000/7*(-28895024200+2476031145*n-\
66279150*n^2+636405*n^3-2100*n^4)*p7*p1+500*(-40633775700+3158523956*n-73651788
*n^2+594412*n^3-1764*n^4)*p6*p2+500*(4101360788-278235496*n+5597956*n^2-37268*n
^3+140*n^4)*p6*p1^2+400*(-50514846750+3882910050*n-86391750*n^2+587700*n^3-1500
*n^4)*p5*p3+200*(-503679420+26148045*n-349470*n^2+825*n^3)*p5*p1^3+375/2*(
6528202560-368861056*n+6765056*n^2-56848*n^3+192*n^4)*p4*p2^2+198000*p5*p4*p1^3
+330000*p9*p4*p1+375*(-18799322480+5318522360/3*n-56356686*n^2+2468086/3*n^3-\
6986*n^4+30*n^5)*p2^2*p1^2+125*(1942934640-151374536*n+3682776*n^2-33640*n^3+
120*n^4)*p2*p1^4+2000*(-3469792435200+2059328216345/2*n-422431965135/4*n^2+
58397268595/12*n^3-217390845/2*n^4+14509885/12*n^5-29175/4*n^6+125/6*n^7)*p3*p1
+1500*(847994383296-574595990263/3*n+135915763123/9*n^2-6488921237/12*n^3+
348308923/36*n^4-575371/6*n^5+22105/36*n^6-25/12*n^7)*p2*p1^2+125/2*(54064704-\
2161840*n+22080*n^2-80*n^3)*p4*p1^4+500/3*(7037931780-360554220*n+4978800*n^2-\
23580*n^3)*p3^2*p2+500/3*(-651848460+29224860*n-313560*n^2+300*n^3)*p3^2*p1^2+
50/3*(-4167600+86400*n)*p3*p1^5+125/2*(51843680-1998720*n+32616*n^2-216*n^3)*p2
^3*p1^2+125/4*(-4093440+106848*n-864*n^2)*p2^2*p1^4+25/6*(319680-4320*n)*p2*p1^
6+1200*(-573552842240+91025978090*n-58822148075/12*n^2+450160955/4*n^3-3458105/
3*n^4+22625/4*n^5-125/12*n^6)*p5*p1+60000*p4*p3^2*p1^2-3000*p4^2*p1^4-\
33820312031930375/54*n^4+25459092501151000/9*n^3-324000*p5*p1^5+6000*p4*p1^6-\
120000*p3^2*p1^4-34095218349500/9*n^6+1820789593919500/27*n^5-4000*p1^8-\
33247227875/18*n^8+2052840662125/18*n^7+125/8*(1198080-20192*n+32*n^2)*p4^3+
162000*p8*p5*p1-13500*p8*p4*p1^2-1980000*p9*p5+120*(-1020467700+38629200*n-\
325950*n^2+750*n^3)*p5^2+125/8*(-550723200+22092480*n-375840*n^2+2592*n^3)*p2^4
+25/3*(-185173200+11385960*n-183360*n^2+600*n^3)*p1^6+36720000*p14-\
16150910838913250/3*n^2+500*(35642880-742742*n+182*n^2)*p12+50022500/3*n^9-\
2581250/27*n^10+15625/54*n^11+250/3*(-5927040+56448*n)*p6^2+600*(4263779520-\
227626685*n+3007290*n^2-5005*n^3)*p10-273000*p12*p2+750*(176922345600-\
19014912030*n+644309577*n^2-7783269*n^3+25737*n^4-15*n^5)*p8-18000*p5*p4^2*p1+
375/2*(-54666189600+13013049640/3*n-318566356/3*n^2+984404*n^3-13316/3*n^4+20/3
*n^5)*p4^2+500*p4^3*p1^2+1000*(2491549364304-508608582475*n+105854852803/3*n^2-\
1043205366*n^3+39787678/3*n^4-65541*n^5+385/3*n^6)*p6-3360000*p13*p1+250*(-\
6853320+189840*n-1440*n^2)*p4*p3*p2*p1+150*(-48120+720*n)*p5*p4*p2*p1+84000*p6*
p4^2-756000*p8*p6-1500*p4^3*p2+250*(-135914427072+24698671554*n-4736748781/3*n^
2+44971331*n^3-1771714/3*n^4+3475*n^5-25/3*n^6)*p1^4+91000*p12*p1^2+125*(
168361537680-18512504200*n+662343790*n^2-10357086*n^3+89874*n^4-378*n^5)*p2^3+
3000*(-3463510772736+76393328207213/36*n-1750296964177/4*n^2+53054357954275/
1296*n^3-280514640145/144*n^4+21404100545/432*n^5-12543785/18*n^6+2540035/432*n
^7-4675/144*n^8+125/1296*n^9)*p1^2+3000*(7472663589888-78864729846209/12*n+
68261411618281/36*n^2-104158684426255/432*n^3+726908611895/48*n^4-70695889621/
144*n^5+199086181/24*n^6-1214749/16*n^7+63065/144*n^8-575/432*n^9)*p2+1500*(
10128748593600-4012706489900*n+9872849801593/18*n^2-1211064848593/36*n^3+
998814559*n^4-517216483/36*n^5+399409/4*n^6-3535/9*n^7+25/36*n^8)*p4+1000/3*(-\
940436071200+141719990040*n-6949132260*n^2+134327640*n^3-991770*n^4+3150*n^5)*
p3^2+750*(-4468382712000+3903419121004/3*n-128902334369*n^2+11259058521/2*n^3-\
704933399/6*n^4+3773156/3*n^5-49267/6*n^6+55/2*n^7)*p2^2
[5, 5, 4, 4]
11200*p6*p4*p1^2-526308945920000/3*n+25600*p7*p3*p1^2+33600*p5*p3^2*p1+7200*p4^
2*p2^2-1600*p4*p3^2*p1^2+16000*p3^4-64800*p8*p2^2-211200*p10*p1^2-235200*p6*p5*
p1+604800*p5*p2^2*p1+100/9*(12600-216*n)*p4*p3^2*p2+1600/11*(182754-1716*n)*p11
*p1+80*(373560-3960*n)*p10*p2+50/3*(6864-96*n)*p4^2*p3*p1+80/3*(-152880+2520*n)
*p5*p4*p3+400/7*(-34272+448*n)*p7*p4*p1+800/21*(-68880+1008*n)*p7*p3*p2+100/3*(
-45528+504*n)*p6*p4*p2+200/3*(-26244+216*n)*p8*p3*p1+100*(34792824-1390856*n+
19232*n^2-96*n^3)*p4*p2*p1^2+200/3*(57227640-2338260*n+35244*n^2-216*n^3)*p3*p2
^2*p1+400/9*(-1445880+48888*n-432*n^2)*p3*p2*p1^3+800/3*(-21196841910+
2320027573*n-82192613*n^2+1199065*n^3-8779*n^4+30*n^5)*p3*p2*p1+200/9*(-15792+
288*n)*p4*p3*p1^3+200/9*(-14760+216*n)*p3^2*p2*p1^2+200/3*(50568-504*n)*p6*p2*
p1^2+80*(-8258040+227920*n-1680*n^2)*p5*p4*p1+160/3*(-15008700+449820*n-3780*n^
2)*p5*p3*p2+160/3*(270060-5040*n)*p5*p3*p1^2+105600*p10*p4+800/7*(-3983280+
90608*n-672*n^2)*p7*p2*p1+400/27*(-151200+1512*n)*p6*p3^2+800/9*(-7991550+
210672*n-1008*n^2)*p6*p3*p1+25200*p8*p6-3600*p8*p3^2+1600/27*(1036530-17820*n)*
p9*p3+124800*p11*p3+50*(1076400-18000*n)*p8*p4-2800*p6*p4^2+320/7*(919240-11760
*n)*p7*p5+160*(-588564690+31073840*n-454860*n^2+2520*n^3)*p5*p2*p1+400/3*(-\
796529556+47532878*n-858640*n^2+6086*n^3-20*n^4)*p4*p3*p1+800/81*(1141290-22680
*n)*p3^3*p1+100/9*(1292040-36180*n+324*n^2)*p3^2*p2^2+400*p4^2*p3^2+1600/9*(
50495940-1789920*n+11880*n^2)*p9*p1+100*(96526764-3492648*n+25488*n^2)*p8*p2+
100*(-2322252+50256*n-144*n^2)*p8*p1^2+1600/21*(154914802-6596212*n+68712*n^2-\
140*n^3)*p7*p3+800/21*(80416-1344*n)*p7*p1^3+200/3*(167119092-6645758*n+56028*n
^2-70*n^3)*p6*p4+100/3*(-7409640+144900*n-756*n^2)*p6*p2^2+40/9*(54960-1440*n)*
p3*p1^5+50/3*(-354240+5184*n)*p2^3*p1^2+320*(92860766280-13903319415*n+
2063311355/3*n^2-13627495*n^3+315385/3*n^4-350*n^5)*p5*p1+200*(150496906188-\
68401480930/3*n+1140815672*n^2-68648246/3*n^3+178156*n^4-556*n^5)*p4*p2+200*(-\
13708615884+4425560510/3*n-152433020/3*n^2+688842*n^3-12544/3*n^4+40/3*n^5)*p4*
p1^2+800/9*(1437718846-112196806*n+2781900*n^2-26258*n^3+60*n^4)*p3*p1^3+100*(
1865435976-136416604*n+3134908*n^2-32880*n^3+144*n^4)*p2^2*p1^2+100/3*(-\
88776672+4859792*n-91008*n^2+576*n^3)*p2*p1^4+1600/3*(639085339440-732386070477
/4*n+143862076191/8*n^2-18740835581/24*n^3+191196221/12*n^4-3719267/24*n^5+
20105/24*n^6-25/12*n^7)*p3*p1+400*(-138999599424+85732307095/3*n-5916355423/3*n
^2+58139055*n^3-2371793/3*n^4+17096/3*n^5-20*n^6)*p2*p1^2+1600/7*(3828744738-\
296881144*n+20101760/3*n^2-45668*n^3+280/3*n^4)*p7*p1+400/3*(6814643472-\
534623929*n+12144699*n^2-80171*n^3+105*n^4)*p6*p2+400/3*(-339710616+17932754*n-\
245616*n^2+742*n^3)*p6*p1^2+320/3*(8938162270-739056535*n+18632775*n^2-161945*n
^3+525*n^4)*p5*p3+160/3*(21173530-786240*n+7560*n^2)*p5*p1^3+50*(-1008078288+
55271184*n-866496*n^2+4704*n^3)*p4*p2^2+50/3*(-1232352+43456*n-384*n^2)*p4*p1^4
+400/9*(-1299965280+81778125*n-1647351*n^2+13911*n^3-45*n^4)*p3^2*p2+400/9*(
51418560-2245074*n+26064*n^2-30*n^3)*p3^2*p1^2+25*(-15836784+488928*n-3648*n^2)
*p4^2*p2+25*(417072-10816*n+64*n^2)*p4^2*p1^2+200/9*(-26417604+961494*n-9324*n^
2+30*n^3)*p4*p3^2+25/3*(302400-5184*n)*p4*p2^3-12800*p7*p4*p3-11200*p6*p1^4-\
28800*p4*p2^2*p1^2+1600*p3^2*p1^4-33567196996400/9*n^5+627461368400/3*n^6+28800
*p2^2*p1^4-55931764000/9*n^7+850178800/9*n^8+20000/9*n^10-18356000/27*n^9+400/3
*(-5940480+131040*n)*p12+200/3*(615000-17256*n+144*n^2)*p4*p3*p2*p1+51200*p7^2+
2716994563095200/9*n^2-1632000*p14+200/9*(896112-7056*n)*p6^2+200*(-31104353280
+3411805356*n-118080804*n^2+1410732*n^3-3444*n^4)*p8+25/6*(-192960+2880*n)*p4^3
+800*(-1529323431552+5326784352151/4*n-27411009123169/72*n^2+385032075093/8*n^3
-108385564571/36*n^4+2310351365/24*n^5-110048281/72*n^6+133817/12*n^7-110/3*n^8
)*p2+160*(-722882160+40182230*n-543180*n^2+550*n^3)*p10+800*(687275197056-\
1630621174303/4*n+5782804911125/72*n^2-506140719991/72*n^3+301899871*n^4-\
469725211/72*n^5+573463/8*n^6-4040/9*n^7+25/18*n^8)*p1^2+20/9*(4211440-208320*n
+2880*n^2)*p1^6+400*(-1979115465600+777613448575*n-1908030000233/18*n^2+
19549823785/3*n^3-3473453483/18*n^4+5310957/2*n^5-134086/9*n^6+205/6*n^7)*p4+
200/3*(16685975232-2437275876*n+355163312/3*n^2-2456716*n^3+70288/3*n^4-80*n^5)
*p1^4+25/6*(60773760-1736640*n+15552*n^2)*p2^4+800/9*(170982963064-105582130829
/4*n+11000449639/8*n^2-241799297/8*n^3+296372*n^4-12165/8*n^5+25/8*n^6)*p3^2+
100/3*(-28385859240+3044140092*n-101686356*n^2+1271088*n^3-6264*n^4)*p2^3+200*(
851094717120-735512409968/3*n+24099823541*n^2-3107609029/3*n^3+20320218*n^4-\
174001*n^5+649*n^6)*p2^2-4256471014639600/27*n^3+312495846786400/9*n^4+800/3*(-\
461211478728+377184079601/4*n-158481333073/24*n^2+1572272541/8*n^3-7246148/3*n^
4+74081/8*n^5-175/24*n^6)*p6+32*(168275800-6276900*n+44100*n^2)*p5^2+50*(
9426659520-2312492048/3*n+18997264*n^2-465616/3*n^3+464*n^4)*p4^2
[5, 5, 4, 3, 2]
-264000*p9*p1^3+3120323420160000*n-1497600*p7*p3*p1^2-388800*p5^2*p1^2-1641600*
p5*p3^2*p1+19200*p7*p2*p1^3+16800*p6*p3*p1^3+64800*p5*p3*p2*p1^2+14400*p5*p4*p1
^3-96000*p3^4+57600*p4*p3^2*p1^2+200/7*(2458260-34944*n)*p7*p3*p2+200/3*(
1272150-19800*n)*p9*p2*p1-2400*p4*p3*p2*p1^3+20*(3918300-55620*n+180*n^2)*p5*p4
*p3+24000*p3^3*p2*p1+150/7*(-88480+1344*n)*p7*p2^2*p1+40*(1672860-16380*n)*p6*
p5*p1+25*(3166128-48048*n)*p6*p4*p2+25*(-80976+672*n)*p6*p4*p1^2+50*(1518480-\
15606*n+54*n^2)*p8*p3*p1+75/2*(-42480+288*n)*p8*p2*p1^2+300/7*(2130240-32368*n+
112*n^2)*p7*p4*p1+100/3*(156685440-5896188*n+65700*n^2-168*n^3)*p3*p2*p1^3+200*
(681186366336-491056835659/6*n+40582434763/12*n^2-386162093/6*n^3+4016153/6*n^4
-3856*n^5+115/12*n^6)*p3*p2*p1+600/7*(299667648-30523304/3*n+102760*n^2-784/3*n
^3)*p7*p2*p1+200/3*(363148464-10782849*n+86562*n^2-357*n^3)*p6*p3*p1+50*(-\
18675888+453768*n-2352*n^2)*p6*p2*p1^2+60*(414982380-13400580*n+138880*n^2-640*
n^3)*p5*p4*p1+40*(567842970-17903070*n+166050*n^2-420*n^3)*p5*p3*p2+40*(-\
21211200+388890*n-810*n^2)*p5*p3*p1^2+30*(-31145320+932160*n-7560*n^2)*p5*p2^2*
p1+20*(817800-13680*n)*p5*p2*p1^3+50/3*(1167000-19368*n+72*n^2)*p4*p3*p1^3+75/4
*(1881952-50816*n+384*n^2)*p4*p2^2*p1^2+25/4*(-48640+768*n)*p4*p2*p1^4+25/3*(-\
318240+4608*n)*p4*p3^2*p2+75/8*(11200-128*n)*p4^2*p2*p1^2+25/2*(-287280+4536*n-\
24*n^2)*p4^2*p3*p1+10*(-142200+2160*n)*p5*p3*p2^2+50/3*(1794960-30528*n)*p3^2*
p2*p1^2+25/3*(2262240-69120*n+648*n^2)*p3*p2^3*p1+25/3*(-56880+864*n)*p3*p2^2*
p1^3+120*(24772415190-4832392400/3*n+34852180*n^2-1023610/3*n^3+1410*n^4)*p5*p2
*p1+100*(29166393180-1856099984*n+76993889/2*n^2-378345*n^3+4323/2*n^4-5*n^5)*
p4*p3*p1+75*(-2281499664+353725664/3*n-6382024/3*n^2+54496/3*n^3-224/3*n^4)*p4*
p2*p1^2+50*(-3294949960+173364910*n-3284658*n^2+29054*n^3-114*n^4)*p3*p2^2*p1+
12*(2598000-36000*n)*p5^2*p2+75/4*(1569312-20736*n)*p8*p2^2+240/7*(-33723900+
427560*n-840*n^2)*p7*p5+100/9*(2865240-27216*n)*p6*p3^2-2455200*p10*p4+1200/11*
(-13135980+209781*n-429*n^2)*p11*p1+60*(-21470460+359040*n)*p10*p2+60*(563640-\
2640*n)*p10*p1^2+400/9*(-27843750+785565/2*n-1485/2*n^2)*p9*p3+75/2*(-35150400+
577800*n-1800*n^2)*p8*p4-2016000*p13*p1+43200*p5^2*p4-1058400*p8*p6+75600*p6*p4
^2-2400*p4^2*p3^2-3000*p4^3*p2+75/4*(-27427680+753520*n-7440*n^2+32*n^3)*p4^2*
p1^2+50/3*(687158472-21473112*n+213192*n^2-960*n^3)*p4*p3^2+25/4*(-43336800+
1295424*n-11232*n^2)*p4*p2^3+200/27*(-38925360+792180*n-1620*n^2)*p3^3*p1+25/3*
(-49772880+1415520*n-11232*n^2)*p3^2*p2^2+400/7*(-4708720296+186943561*n-\
1887081*n^2+7280*n^3)*p7*p3+200/7*(-9702000+157584*n-336*n^2)*p7*p1^3+50*(-\
5389391952+217149660*n-2311176*n^2+9996*n^3)*p6*p4+400/3*(-2217683160+187089045
/2*n-2133945/2*n^2+4290*n^3)*p9*p1+75*(-3703546944+155085276*n-1723500*n^2+3984
*n^3)*p8*p2+75*(171049680-4863420*n+28260*n^2-72*n^3)*p8*p1^2+75/16*(-329472+
5376*n)*p4^2*p2^2+132000*p9*p4*p1+66000*p9*p3*p2+300*(3993132544704-\
2665486348105/3*n+1247037529843/18*n^2-22572078934/9*n^3+432793418/9*n^4-\
4910836/9*n^5+66985/18*n^6-115/9*n^7)*p2*p1^2+240*(-2738834450880+2613761867245
/6*n-71331133525/3*n^2+573626740*n^3-27217725/4*n^4+132385/3*n^5-1475/12*n^6)*
p5*p1+150*(-4273635109728+675858212766*n-109465374400/3*n^2+2601572560/3*n^3-\
10033221*n^4+180146/3*n^5-461/3*n^6)*p4*p2+150*(465134701440-168312540980/3*n+
2307593339*n^2-127278976/3*n^3+1229887/3*n^4-2320*n^5+20/3*n^6)*p4*p1^2+200/3*(
-60150120120+5471209339*n-329956203/2*n^2+2095970*n^3-23469/2*n^4+15*n^5)*p3*p1
^3+75*(-79649897856+22429685636/3*n-750632164/3*n^2+12301660/3*n^3-108548/3*n^4
+152*n^5)*p2^2*p1^2+25*(5764520352-1222543616/3*n+9828288*n^2-318400/3*n^3+448*
n^4)*p2*p1^4+400*(-17017483492800+30456564038755/6*n-1582066042246/3*n^2+
200539900809/8*n^3-7248759187/12*n^4+382105351/48*n^5-1009097/16*n^6+4505/16*n^
7-25/48*n^8)*p3*p1+1200/7*(-131535426540+33614091476/3*n-920588753/3*n^2+
3423700*n^3-54061/3*n^4+70/3*n^5)*p7*p1+100*(-216853383852+18249635250*n-\
490810180*n^2+5189898*n^3-20216*n^4)*p6*p2+100*(15319366776-972977138*n+
18956728*n^2-141778*n^3+476*n^4)*p6*p1^2+80*(-266607156150+22079333980*n-\
2282870385/4*n^2+5751725*n^3-114345/4*n^4+75/2*n^5)*p5*p3+40*(-1403038800+
63591090*n-788190*n^2+3180*n^3)*p5*p1^3+75/2*(37908936288-2442140168*n+52436296
*n^2-489576*n^3+1912*n^4)*p4*p2^2+25/2*(102240480-3551680*n+40000*n^2-192*n^3)*
p4*p1^4+100/3*(41875895520-2633125740*n+54050628*n^2-500208*n^3+2040*n^4)*p3^2*
p2+100/3*(-2440743120+113636052*n-1534212*n^2+6480*n^3)*p3^2*p1^2+10/3*(-\
5320800+125640*n-360*n^2)*p3*p1^5+25/2*(218886240-9743424*n+148752*n^2-864*n^3)
*p2^3*p1^2+25/4*(-8293696+273408*n-2304*n^2)*p2^2*p1^4+5/6*(254400-5760*n)*p2*
p1^6+25*(458468640-14537040*n+112896*n^2)*p6*p2^2+25/3*(382368-4032*n)*p6*p1^4+
75/4*(644484384-22712176*n+258320*n^2-1024*n^3)*p4^2*p2-3600*p5*p4^2*p1+124800*
p7*p4*p3+50400*p6*p5*p3+32400*p8*p5*p1+135000*p8*p4*p2+67200*p7*p6*p1+57600*p7*
p5*p2+93600*p11*p2*p1+79200*p10*p3*p1-14400*p5*p1^5-105600*p3^2*p1^4+2400*p3*p2
*p1^5-4199219599700*n^6+640304281857400/9*n^5-5404970706252000*n^2-7739665400/3
*n^8+137852924800*n^7-1605500/9*n^10+84478400/3*n^9+5000/9*n^11+44064000*p14+
100/3*(-131040+1764*n)*p6*p3*p2*p1+30*(-193600+2880*n)*p5*p4*p2*p1+25/2*(16080-\
288*n)*p4*p3*p2^2*p1+600*p4^2*p3*p2*p1-8400*p6*p4*p3*p1-7200*p5*p4*p3*p2+50*(-\
40538896+1257376*n-13260*n^2+56*n^3)*p4*p3*p2*p1-5400*p8*p3*p2*p1+21600*p8*p3^2
-1188000*p9*p5-9600*p7*p4*p2*p1-1684800*p11*p3-1638000*p12*p2+100*(200491200-\
4463550*n+8190*n^2)*p12+120*(22715652960-1285689845*n+19701165*n^2-76120*n^3)*
p10+200*(12526778392128-2630591287023*n+191599178372*n^2-6182290184*n^3+
93529583*n^4-651322*n^5+1694*n^6)*p6+24*(-5514698700+213974700*n-2033700*n^2+
7800*n^3)*p5^2+150*(-22384973790720+6675379093986*n-2073872680211/3*n^2+
32710309962*n^3-2354643898/3*n^4+30573784/3*n^5-73689*n^6+764/3*n^7)*p2^2+600*(
37326126523392-33027806874063*n+9657364558137*n^2-136095288414559/108*n^3+
746612665333/9*n^4-210561818725/72*n^5+4107962969/72*n^6-45716669/72*n^7+291959
/72*n^8-685/54*n^9)*p2+200/3*(-4776373359792+752537026463*n-80330675243/2*n^2+
928512142*n^3-20590967/2*n^4+63315*n^5-175*n^6)*p3^2+25*(891613974240-\
106732993812*n+4402420332*n^2-82732164*n^3+777372*n^4-3312*n^5)*p2^3+5/3*(-\
326073600+16522800*n-272400*n^2+1440*n^3)*p1^6+50*(-560560383360+282752974460/3
*n-16603743746/3*n^2+148210476*n^3-6015694/3*n^4+42568/3*n^5-40*n^6)*p1^4+600*(
-17153212769280+10493019476275*n-19448067283819/9*n^2+7281428299177/36*n^3-\
174743952065/18*n^4+18394187821/72*n^5-282851579/72*n^6+2741623/72*n^7-1825/8*n
^8+25/36*n^9)*p1^2+2860267904782400*n^3-5784314582835400/9*n^4-691200*p7^2+25/8
*(5716800-98400*n+480*n^2)*p4^3+50/3*(-33741792+366912*n)*p6^2+150*(
907155849600-101999457240*n+3741221394*n^2-54031848*n^3+294282*n^4-348*n^5)*p8+
300*(50587939584000-20341693171200*n+2857606464225*n^2-1103643370889/6*n^3+
5950564737*n^4-399623915/4*n^5+10594345/12*n^6-48461/12*n^7+95/12*n^8)*p4+25/8*
(-4104879360+204779520*n-3350592*n^2+20736*n^3)*p2^4+75/2*(-284297628000+
23677957440*n-625925084*n^2+6827768*n^3-40372*n^4+88*n^5)*p4^2
[5, 5, 4, 2, 2, 2]
-58573070131200000*n+3200*p3*p1^7+400*(12332650440-629948030*n+10199232*n^2-\
67818*n^3+144*n^4)*p3*p2^2*p1+800/3*(-1409469560+70464457*n-1117161*n^2+6875*n^
3-15*n^4)*p3*p2*p1^3+1600*(-2144421387424+1093427144659/4*n-283750212235/24*n^2
+1757109993/8*n^3-22626619/12*n^4+62833/8*n^5-85/8*n^6)*p3*p2*p1+960*(-\
91947446995+6396315535*n-138058160*n^2+1082585*n^3-3090*n^4)*p5*p2*p1+800*(-\
111083080220+7804321364*n-517079371/3*n^2+1449575*n^3-15317/3*n^4+5*n^5)*p4*p3*
p1+600*(12405253744-744495876*n+14342020*n^2-110732*n^3+332*n^4)*p4*p2*p1^2+200
/3*(-5175360+127980*n-972*n^2)*p3*p2^3*p1+200/3*(676560-15516*n+108*n^2)*p3*p2^
2*p1^3+40/3*(-58560+720*n)*p3*p2*p1^5+2400/7*(-12712280+192528*n-112*n^2)*p7*p4
*p1+1600/7*(-4258030+51240*n)*p7*p3*p2+400*(-9136620+122166*n-54*n^2)*p8*p3*p1+
28704000*p11*p3+300*(506592-5616*n)*p8*p2*p1^2+9600/7*(458924565540-42871289272
*n+1288884576*n^2-42806960/3*n^3+44982*n^4-70/3*n^5)*p7*p1+800*(609198507498-\
49737075500*n+1216078248*n^2-10051636*n^3+28560*n^4)*p6*p2+800*(-74546558646+
5872420820*n-148521912*n^2+1373596*n^3-3864*n^4)*p6*p1^2+640*(760640920425-\
373344290405/6*n+1518966190*n^2-75476425/6*n^3+86585/2*n^4-75/2*n^5)*p5*p3+320*
(10820846805-2153806600/3*n+15072295*n^2-344990/3*n^3+325*n^4)*p5*p1^3+300*(-\
103596190272+6108045552*n-109842960*n^2+831072*n^3-2400*n^4)*p4*p2^2+100*(-\
1385556608+77103464*n-4000720/3*n^2+8536*n^3-80/3*n^4)*p4*p1^4+800/3*(-\
116358954800+6787186370*n-118138140*n^2+855970*n^3-2280*n^4)*p3^2*p2+800/3*(
13979100880-835992250*n+15869100*n^2-116390*n^3+300*n^4)*p3^2*p1^2+80/3*(
145214800-6287420*n+71040*n^2-100*n^3)*p3*p1^5+100*(-1175190240+50956416*n-\
728784*n^2+3888*n^3)*p2^3*p1^2+200/9*(1420560-25920*n)*p3^2*p1^4+137088000*p13*
p1+2400*(-11653366245696+2800918352320*n-721196974411/3*n^2+57930925349/6*n^3-\
1191123283/6*n^4+6497026/3*n^5-25693/2*n^6+215/6*n^7)*p2*p1^2+50*(124052544-\
5002928*n+63696*n^2-288*n^3)*p2^2*p1^4+20/3*(-11721440+386400*n-2880*n^2)*p2*p1
^6+1920*(8134481735220-5482017844145/4*n+639167022865/8*n^2-48850918975/24*n^3+
93084955/4*n^4-2674535/24*n^5+1725/8*n^6)*p5*p1+1200*(11557399583192-\
5463406180019/3*n+190379615187/2*n^2-12315225401/6*n^3+19045317*n^4-176987/2*n^
5+339/2*n^6)*p4*p2+1200*(-1669417369912+230365423367*n-66869113399/6*n^2+
478811201/2*n^3-7181473/3*n^4+22577/2*n^5-45/2*n^6)*p4*p1^2+1600/3*(
286364233368-394551352307/12*n+31849154485/24*n^2-570335297/24*n^3+2391377/12*n
^4-6275/8*n^5+25/24*n^6)*p3*p1^3+600*(314458802624-33266149896*n+1214116516*n^2
-19573600*n^3+152852*n^4-528*n^5)*p2^2*p1^2+200*(-39272652304+3767246428*n-\
378613700/3*n^2+1860556*n^3-38572/3*n^4+40*n^5)*p2*p1^4+3200*(45196271978400-\
55830741132855/4*n+18118996921699/12*n^2-10775416651387/144*n^3+44321725229/24*
n^4-3330034963/144*n^5+2378187/16*n^6-35435/72*n^7+25/48*n^8)*p3*p1+1600/3*(-\
5839515+68310*n)*p9*p2*p1+50*(-52848+288*n)*p8*p1^4+1920/7*(109203150-1414560*n
+840*n^2)*p7*p5+25600*p7*p1^5+16000*p4^2*p3^2-12000*p4^3*p1^2+36000*p4^3*p2+
9600/11*(76490700-1505361*n+429*n^2)*p11*p1+480*(54344290-703560*n)*p10*p2-\
6552000*p12*p1^2+150*(-2677968+31104*n)*p8*p2^2+75*(-109632+1536*n)*p4^2*p2*p1^
2+200/3*(446160-5760*n)*p4*p3^2*p2+200/3*(-111120+1440*n)*p4*p3^2*p1^2+240*(
125121480-3153060*n+22140*n^2)*p5*p2^2*p1+480*(-8392670+137280*n)*p10*p1^2+160*
(-14849080+370440*n-2340*n^2)*p5*p2*p1^3+1600/7*(880250-10920*n)*p7*p3*p1^2+
1200/7*(157920-2016*n)*p7*p2^2*p1+800/7*(-28336+336*n)*p7*p2*p1^3+320*(-\
12520200+153720*n)*p6*p5*p1+3200/9*(78633225-2092365/2*n+1485/2*n^2)*p9*p3+200*
(-7295232+94752*n)*p6*p4*p2+1600/9*(765765-8910*n)*p9*p1^3+200*(1327872-18144*n
)*p6*p4*p1^2+800/9*(-64008+504*n)*p6*p3*p1^3+300*(106564800-1643400*n+1800*n^2)
*p8*p4+160*(-11516000+159420*n-180*n^2)*p5*p4*p3+80*(-132800+1560*n)*p5*p4*p1^3
+320/3*(903600-10800*n)*p5*p3^2*p1+80*(253800-3240*n)*p5*p3*p2^2+100*(1546320-\
23096*n+24*n^2)*p4^2*p3*p1+50*(1341792-31648*n+192*n^2)*p4*p2*p1^4+400/3*(-\
13664640+342360*n-2160*n^2)*p3^2*p2*p1^2+800/9*(-6511680+70560*n)*p6*p3^2+4800/
7*(-1315363252+44394112*n-339584*n^2+308*n^3)*p7*p2*p1+400*(148509312-4278960*n
+28224*n^2)*p6*p2*p1^2+320*(-1495800655+41631255*n-327510*n^2+495*n^3)*p5*p3*p2
+75/2*(566208-8064*n)*p4^2*p2^2+25/2*(13248-128*n)*p4^2*p1^4+320*(200675885-\
6262125*n+49320*n^2-75*n^3)*p5*p3*p1^2+480*(-2021947700+74276910*n-700660*n^2+
1710*n^3)*p5*p4*p1+1600/3*(-1744544046+60362736*n-485184*n^2+672*n^3)*p6*p3*p1+
400/3*(-20789728+592286*n-4440*n^2+10*n^3)*p4*p3*p1^3+150*(-12380928+327120*n-\
2448*n^2)*p4*p2^2*p1^2+640000*p3^4+10/3*(-123520+1920*n)*p4*p1^6+50*(85644000-\
2234736*n+16848*n^2)*p4*p2^3+16*(1392200-24000*n)*p5*p1^5+150*(-1729832256+
53673216*n-491376*n^2+1200*n^3)*p4^2*p2+150*(233136896-8039424*n+77904*n^2-208*
n^3)*p4^2*p1^2+400/3*(-1903781440+55841200*n-461400*n^2+920*n^3)*p4*p3^2+1600/
27*(186945300-5068980*n+34020*n^2)*p3^3*p1+200/3*(88597680-2200320*n+15120*n^2)
*p3^2*p2^2+3200/3*(9652125780-937706055/2*n+11592405/2*n^2-9735*n^3)*p9*p1+600*
(10397917896-397054836*n+3422556*n^2-4680*n^3)*p8*p2+600*(-1281855576+52832004*
n-537444*n^2+768*n^3)*p8*p1^2+3200/7*(13815210360-1583656795/3*n+4431665*n^2-\
24080/3*n^3)*p7*p3+1600/7*(151927524-15206464/3*n+37520*n^2-140/3*n^3)*p7*p1^3+
400*(16086500808-633921568*n+5790288*n^2-14000*n^3)*p6*p4+200*(-1136405760+
29645280*n-199584*n^2)*p6*p2^2+200/3*(-15536640+382368*n-1344*n^2)*p6*p1^4+
32000*p3^3*p1^3+96*(-7849800+97200*n)*p5^2*p2+96*(1338600-16200*n)*p5^2*p1^2-\
288000*p3^3*p2*p1+124800*p5*p3*p1^4-3200*p4*p3*p1^5+172800*p5^2*p3*p1+388800*p5
*p4^2*p1+800*p4^2*p3*p1^3-1612800*p6*p5*p3-7200*p8*p3*p1^3-2150400*p7*p6*p1-\
691200*p7*p5*p2+230400*p7*p5*p1^2-1408000*p7*p4*p3-12800*p7*p4*p1^3+540000*p8*
p4*p1^2-6091200*p8*p5*p1-1620000*p8*p4*p2-8976000*p9*p4*p1-4118400*p10*p3*p1-\
1123200*p11*p2*p1+268800*p6*p4*p3*p1+86400*p5*p4*p3*p2-792000*p9*p3*p2-28800*p5
*p4*p3*p1^2-7200*p4^2*p3*p2*p1+124800*p11*p1^3+27820800*p8*p6+115200*p7*p4*p2*
p1+400*(169352304-4846294*n+39768*n^2-66*n^3)*p4*p3*p2*p1+200/3*(5352-72*n)*p4*
p3*p2*p1^3+100*(-29520+432*n)*p4*p3*p2^2*p1+240*(923640-12240*n)*p5*p4*p2*p1+
800/3*(410760-4536*n)*p6*p3*p2*p1+160*(-47160+540*n)*p5*p3*p2*p1^2+59030400*p10
*p4+19656000*p12*p2+264000*p9*p3*p1^2+64800*p8*p3*p2*p1+232978561004000/3*n^6-\
12106637728906400/9*n^5+109885132589826400/9*n^4-487466770428702400/9*n^3-\
1116288000*p14+39711580000*n^8-7219395107200/3*n^7+16004000/9*n^10-3129797600/9
*n^9+305389424986835200/3*n^2+1600*(-33213143075112+7011149658583*n-\
1517804513974/3*n^2+15634238305*n^3-623922124/3*n^4+1045177*n^5-6097/3*n^6)*p6+
1600/3*(12962027926920-6130799999015/3*n+639215448155/6*n^2-13625012495/6*n^3+
61256290/3*n^4-186625/2*n^5+1025/6*n^6)*p3^2+200*(-2418161139360+279140063628*n
-10443700968*n^2+162715932*n^3-1257696*n^4+4320*n^5)*p2^3+40/3*(4623395280-\
1174662680/3*n+11177520*n^2-372040/3*n^3+400*n^4)*p1^6+2400*(-127483131484800+
51745278566850*n-131211387983749/18*n^2+5559400540273/12*n^3-257433351595/18*n^
4+850416587/4*n^5-52469027/36*n^6+31483/6*n^7-95/12*n^8)*p4+400*(2062193630976-\
416182627185*n+61912681091/2*n^2-19944564293/18*n^3+62284448/3*n^4-3754343/18*n
^5+6695/6*n^6-25/9*n^7)*p1^4+4800*(-90127665387648+241468457035109/3*n-\
854016092785279/36*n^2+223089055377169/72*n^3-7232732770507/36*n^4+53940495369/
8*n^5-8423186381/72*n^6+12573731/12*n^7-129973/24*n^8+245/18*n^9)*p2+400/3*(
107025408-1185408*n)*p6^2+192*(16637530350-648869550*n+5754300*n^2-13950*n^3)*
p5^2+800*(-613725840+13374270*n-8190*n^2)*p12-40000/9*n^11+9216000*p7^2+25*(
9858263040-408970080*n+5803488*n^2-31104*n^3)*p2^4+300*(813294414560-\
201229540144/3*n+1676623896*n^2-44930312/3*n^3+61224*n^4-88*n^5)*p4^2+960*(-\
66695068440+11183867695/3*n-52388765*n^2+314600/3*n^3)*p10+1200*(-2536042148640
+284325226868*n-10101750576*n^2+129132364*n^3-450924*n^4+348*n^5)*p8+5/21*(
1079680-26880*n)*p1^8+25*(-16433280+255840*n-480*n^2)*p4^3+4800*(42592818135168
-80516199376057/3*n+207207448119887/36*n^2-122839740600727/216*n^3+262959050000
/9*n^4-19821108935/24*n^5+948890119/72*n^6-2172491/18*n^7+15305/24*n^8-175/108*
n^9)*p1^2+1200*(57534711396480-51835090989157/3*n+3550819161873/2*n^2-\
484425955135/6*n^3+1743601275*n^4-36836153/2*n^5+215433/2*n^6-298*n^7)*p2^2-\
1747200*p6*p4^2-2073600*p5^2*p4-144000*p8*p3^2+49104000*p9*p5
[5, 5, 3, 3, 3]
-10125*p4^3*p2+3124030073512500*n+675*p4^2*p2^3-838350*p8*p2*p1^2-2268000*p6*p3
*p2*p1-604800*p6*p4*p1^2-2916000*p7*p2^2*p1+69498000*p9*p2*p1+6237000*p10*p1^2+
16038000*p8*p3*p1+35964000*p7*p4*p1+22226400*p6*p5*p1+87480000*p7*p3*p2-3402000
*p5*p3*p2^2+44226000*p5*p4*p3+46437300*p5^2*p2+12852000*p6*p3^2-3572100*p5*p4*
p2*p1-972000*p4^2*p3*p1-2025000*p4*p3^2*p2-60264000*p7*p1^3-71280000*p3^3*p1-\
197316000*p5*p3*p1^2+4050/7*(42297360-1123920*n+5040*n^2)*p7*p2*p1+450*(
30984240-434280*n+2520*n^2)*p6*p3*p1+675/2*(-1816528+29232*n-168*n^2)*p6*p2*p1^
2+405*(40511520-788970*n+4410*n^2)*p5*p4*p1+675/4*(1284808-31584*n+168*n^2)*p6*
p4*p2+1350*(96123156480-11407079045*n+938829205/2*n^2-8952405*n^3+171815/2*n^4-\
340*n^5)*p3*p2*p1+270*(107811900-2961000*n+12600*n^2)*p5*p3*p2+405/2*(-6415920+
143220*n-420*n^2)*p5*p2^2*p1+2025/16*(297952-6176*n+32*n^2)*p4*p2^2*p1^2+225/4*
(724080-13440*n)*p3*p2^3*p1+810*(3500099400-218605835*n+8766555/2*n^2-32935*n^3
+105/2*n^4)*p5*p2*p1+675*(3466547520-179851990*n+2774850*n^2-21800*n^3+60*n^4)*
p4*p3*p1+2025/4*(-253652272+33312760/3*n-173508*n^2+4232/3*n^3-4*n^4)*p4*p2*p1^
2+675/2*(-546555600+28512380*n-487500*n^2+3040*n^3)*p3*p2^2*p1+225*(11133720-\
260640*n+1440*n^2)*p3*p2*p1^3+179550*p6*p4^2+2025/16*(1134432-26280*n+72*n^2)*
p8*p2^2+405*(-6143060+145860*n-660*n^2)*p10*p2+2025/8*(-6612000+152100*n-900*n^
2)*p8*p4+675/128*(31360-768*n)*p4*p2^4+2025/64*(-244992+6560*n-32*n^2)*p4^2*p2^
2+225/8*(-196560+4368*n)*p6*p2^3+2025/16*(-1716096+31376*n-208*n^2)*p4^2*p1^2+
675/8*(39972000-5367136/3*n+28144*n^2-512/3*n^3)*p2^3*p1^2+675/16*(-741696+
17376*n-96*n^2)*p2^2*p1^4+1620*(-381685026240+59036534130*n-12404147245/4*n^2+
572476975/8*n^3-6278195/8*n^4+30065/8*n^5-35/8*n^6)*p5*p1+2025/2*(-658085226768
+332916739946/3*n-62527950595/9*n^2+1369760483/6*n^3-84574055/18*n^4+367033/6*n
^5-8123/18*n^6+4/3*n^7)*p4*p2+2025/2*(56809934112-18211648580/3*n+628894585/3*n
^2-9686873/3*n^3+89218/3*n^4-479/3*n^5+1/3*n^6)*p4*p1^2+450*(-5715693360+
379772790*n-7071930*n^2+60600*n^3-180*n^4)*p3*p1^3+2025/4*(-10599129376+
2933763356/3*n-98966956/3*n^2+1659140/3*n^3-14828/3*n^4+56/3*n^5)*p2^2*p1^2+675
/4*(470340048-25113048*n+466932*n^2-4008*n^3+12*n^4)*p2*p1^4+2700*(-\
2457996230400+730375967050*n-907029795185/12*n^2+28790618245/8*n^3-2112207355/
24*n^4+9347395/8*n^5-198595/24*n^6+25*n^7)*p3*p1+2025*(551523100544-\
119202869751*n+17963537767/2*n^2-317646913*n^3+6149028*n^4-213080/3*n^5+937/2*n
^6-4/3*n^7)*p2*p1^2+675/16*(-28446768+4381936/3*n-26768*n^2+512/3*n^3)*p4*p2^3+
675/64*(-39040+768*n)*p2^4*p1^2+8100/7*(-17020382400+1310348480*n-30620310*n^2+
261100*n^3-630*n^4)*p7*p1+675*(1506432648-210951244/3*n+904855*n^2-20216/3*n^3+
21*n^4)*p6*p1^2+540*(-39897673200+3248072625*n-80665200*n^2+687750*n^3-1575*n^4
)*p5*p3+270*(-89465040+2068290*n-11970*n^2)*p5*p1^3+2025/8*(7964690368-\
688821284*n+73963936/3*n^2-1422304/3*n^3+14324/3*n^4-56/3*n^5)*p4*p2^2+675/8*(
4316256-80976*n+528*n^2)*p4*p1^4+225*(6960051540-448572540*n+9115470*n^2-67020*
n^3+90*n^4)*p3^2*p2+225*(-177276960+3999960*n-22680*n^2)*p3^2*p1^2+900*(-\
244221120+7348770*n-38610*n^2)*p9*p1+2025/4*(-752123604+39948294*n-763227*n^2+
5982*n^3-9*n^4)*p8*p2+2025/4*(11192496-135036*n+828*n^2)*p8*p1^2-28350*p6*p4*p2
^2-86759270775/16*n^8+3203476592175/16*n^7+6809660025/64*n^9-95192025/64*n^10+
56700*p6*p2^2*p1^2+428625/32*n^11-1875/32*n^12+225/2*(84196800-1650600*n+9000*n
^2)*p4*p3^2+56700*p5*p2^3*p1+225/4*(-13158720+291600*n-720*n^2)*p3^2*p2^2+675*(
-36461357772+10489302047/3*n-253862945/2*n^2+14579495/6*n^3-50127/2*n^4+217/2*n
^5)*p6*p2+2700/7*(-675082800+22087800*n-113400*n^2)*p7*p3+675/2*(-894937512+
126676186/3*n-800429*n^2+21644/3*n^3-21*n^4)*p6*p4+675/4*(149954672-7657552*n+
142548*n^2-980*n^3)*p6*p2^2+2025/16*(163490584-24733112/3*n+164812*n^2-4456/3*n
^3+4*n^4)*p4^2*p2-5528250*p12*p2+675/2*(-4927320+94560*n-480*n^2)*p4*p3*p2*p1+
52650*p4^2*p2*p1^2+455625*p8*p4*p2-707616000*p11*p1+162000*p4*p3*p2^2*p1-\
926640000*p9*p3-2700*p4*p2^3*p1^2-1020600000*p7*p5+27000*p3^2*p2^3+49572000*p14
+6463800*p5*p2*p1^3+3240000*p4*p3*p1^3-89100*p4*p2*p1^4-324000*p3*p2^2*p1^3+
2700*p2^3*p1^4+4050*(5523097853952-59081179610099/12*n+210978602283965/144*n^2-\
9541649955941/48*n^3+912607691403/64*n^4-14506364921/24*n^5+2433914297/144*n^6-\
16228793/48*n^7+306143/64*n^8-521/12*n^9+55/288*n^10)*p2+675/32*(1381920-35760*
n+240*n^2)*p4^3+225/2*(-6717312+146706*n-882*n^2)*p6^2+675*(32301360-746655*n+
4095*n^2)*p12+45/4*(-12568320+339120*n-2160*n^2)*p1^6+135/64*(4690400-220800*n+
2880*n^2)*p2^5+2025/8*(-44260363040+3962995562*n-133507312*n^2+7648961/3*n^3-\
85889/3*n^4+499/3*n^5-1/3*n^6)*p4^2+2025/2*(137580402960-16002337117*n+
1300975299/2*n^2-50372183/4*n^3+536907/4*n^4-2697/4*n^5+3/4*n^6)*p8+162*(-\
830138400+28014525*n-143325*n^2)*p5^2+675/32*(-1463560320+377088440/3*n-4486440
*n^2+239344/3*n^3-592*n^4)*p2^4+450*(-710947310400+113485539045*n-6193397070*n^
2+296449515/2*n^3-3271935/2*n^4+15285/2*n^5-15/2*n^6)*p3^2+675/4*(155121484848-\
22263371564*n+11664416788/9*n^2-128575858/3*n^3+7941226/9*n^4-32210/3*n^5+538/9
*n^6)*p2^3+675/2*(-64078104576+9088421968*n-409639976*n^2+7781945*n^3-82347*n^4
+459*n^5-n^6)*p1^4-6075*p8*p2^3+1350*(1867231574208-402179718087*n+279411122389
/9*n^2-13844229049/12*n^3+1738320479/72*n^4-7539217/24*n^5+171185/72*n^6-63/8*n
^7)*p6+267300*p10*p2^2-2891700*p8*p6+198450*p6^2*p2-3653100*p10*p4+
4936002702709725/64*n^5-320569347496125/64*n^6-2592000*p3*p1^5+48600*p2*p1^6-\
5327882579659875/8*n^4+46431958787166675/16*n^3+491400*p6*p1^4+10206000*p3^2*p2
*p1^2+2025/2*(-3348497163520+3105752054258/3*n-116234448024*n^2+118243200239/18
*n^3-2022383038/9*n^4+94167869/18*n^5-1499861/18*n^6+7480/9*n^7-71/18*n^8)*p2^2
+810*(3540897360-624404330/3*n+7928525/2*n^2-100705/3*n^3+165/2*n^4)*p10+2025*(
7486430515200-9173205789950/3*n+15981626549827/36*n^2-368638117753/12*n^3+
168213719411/144*n^4-1979105135/72*n^5+31518577/72*n^6-165955/36*n^7+4063/144*n
^8-5/72*n^9)*p4+4050*(-2509096439808+4583463227083/3*n-11244215343167/36*n^2+
1042304770891/36*n^3-198610900481/144*n^4+1312361963/36*n^5-20507543/36*n^6+
390535/72*n^7-1421/48*n^8+5/72*n^9)*p1^2-21729412884750525/4*n^2
[5, 5, 3, 3, 2, 2]
-58628796468480000*n+450*(13916604384-848676018*n+58515704/3*n^2-737435/3*n^3+
5548/3*n^4-19/3*n^5)*p4*p2*p1^2+720*(-119731222590+17534059315/2*n-914132725/4*
n^2+2936490*n^3-77495/4*n^4+95/2*n^5)*p5*p2*p1+3600*p2^2*p1^6-345600*p3*p2*p1^5
+21600*p1^8+1200*(-2759472071424+715704776151/2*n-198932514241/12*n^2+375097757
*n^3-58510591/12*n^4+74063/2*n^5-400/3*n^6)*p3*p2*p1+600*(-132906827844+
9048164638*n-208684433*n^2+2377644*n^3-15691*n^4+50*n^5)*p4*p3*p1-259200*p8*p3^
2+300*(266233644-8287048*n+92136*n^2-464*n^3)*p4*p3*p2*p1+200*(-1286837280+
59130474*n-897858*n^2+4872*n^3)*p3*p2*p1^3+75*(-140640+2112*n)*p4*p3*p2^2*p1+
180*(1706100-27960*n+120*n^2)*p5*p4*p2*p1+200*(1126440-12096*n)*p6*p3*p2*p1-\
6307200*p5*p3*p2*p1^2+201600*p4*p3*p2*p1^3+24300*p8*p2^3+300*(18961544160-\
1153378780*n+26078008*n^2-285980*n^3+1376*n^4)*p3*p2^2*p1+480*(1048041427005-\
88819890885*n+2404529085*n^2-27339105*n^3+160620*n^4-375*n^5)*p5*p3+240*(
9055348290-1000347375/2*n+34886025/4*n^2-124845/2*n^3+495/4*n^4)*p5*p1^3+225*(-\
173281948416+37367107048/3*n-966424084/3*n^2+4086362*n^3-81296/3*n^4+206/3*n^5)
*p4*p2^2+75*(-877520448+37022752*n-521532*n^2+3944*n^3-12*n^4)*p4*p1^4+200*(-\
178908469470+11767647090*n-259559481*n^2+2618826*n^3-11355*n^4)*p3^2*p2+200*(
13588435530-702207594*n+11170899*n^2-66150*n^3+45*n^4)*p3^2*p1^2+20*(61908840-\
1559520*n+8640*n^2)*p3*p1^5+75*(-1952241120+112102324*n-2556144*n^2+30500*n^3-\
168*n^4)*p2^3*p1^2+600*(883934702154-158126678129/2*n+9589334741/4*n^2-32835208
*n^3+878731/4*n^4-1127/2*n^5)*p6*p2+75/2*(118014912-4964464*n+70560*n^2-368*n^3
)*p2^2*p1^4+5*(-5076000+126000*n-720*n^2)*p2*p1^6+1440*(10382840606040-\
1742015229955*n+1234517817415/12*n^2-11334158465/4*n^3+1007322035/24*n^4-\
2956925/8*n^5+42575/24*n^6-25/8*n^7)*p5*p1+900*(15775800455088-7802432001601/3*
n+149854289070*n^2-48261588557/12*n^3+349759181/6*n^4-2982125/6*n^5+14191/6*n^6
-53/12*n^7)*p4*p2+900*(-1950396144288+771382215745/3*n-108340520021/9*n^2+
3244123711/12*n^3-31453079/9*n^4+89042/3*n^5-1472/9*n^6+5/12*n^7)*p4*p1^2+400*(
291571998624-60399330825/2*n+4370341839/4*n^2-36399249/2*n^3+614937/4*n^4-525*n
^5)*p3*p1^3+450*(381718092456-124022478196/3*n+15188357360/9*n^2-108786986/3*n^
3+4288481/9*n^4-3894*n^5+143/9*n^6)*p2^2*p1^2+150*(-35452284552+3060740176*n-\
95866942*n^2+1473930*n^3-11714*n^4+38*n^5)*p2*p1^4+2400*(59126574814560-\
73216381963103/4*n+48006223993189/24*n^2-307736121289/3*n^3+5593256827/2*n^4-\
1071952535/24*n^5+3618949/8*n^6-67175/24*n^7+25/3*n^8)*p3*p1+1800*(-\
14718081056544+10468983263822/3*n-5366667754103/18*n^2+111465045506/9*n^3-\
2327146329/8*n^4+312504175/72*n^5-349109/8*n^6+20689/72*n^7-35/36*n^8)*p2*p1^2+
600*(-77924012166+11287511207/2*n-551428535/4*n^2+1582672*n^3-43393/4*n^4+77/2*
n^5)*p6*p1^2-1255824000*p14+7200/11*(82618536-1519518*n+6006*n^2)*p11*p1+360*(
127524870-2439360*n+5940*n^2)*p10*p2+360*(-6096090+68310*n-330*n^2)*p10*p1^2+
800/3*(116300745-1375110*n+2970*n^2)*p9*p3+225*(153684000-2407500*n+9900*n^2)*
p8*p4+225/2*(-16253424+262080*n-288*n^2)*p8*p2^2+1440/7*(153806310-1950480*n+
7560*n^2)*p7*p5-108000*p3^2*p2^3+200/3*(-10009440+84672*n)*p6*p3^2+25*(1741320-\
27216*n)*p6*p2^3+72*(-17556750+251100*n-900*n^2)*p5^2*p2+43707600*p5^2*p1^2+75/
16*(-184320+3456*n)*p4*p2^4+23400*p4^2*p1^4+30*(-144360+2160*n)*p5*p2^3*p1+400/
9*(194869800-3389040*n+6480*n^2)*p3^3*p1+50*(307499760-8170560*n+57024*n^2)*p3^
2*p2^2+75*(1412496-20448*n+96*n^2)*p4^2*p3*p1+225/4*(-160960+2992*n-16*n^2)*p4^
2*p2*p1^2+50*(1197360-14976*n)*p4*p3^2*p2+6955200*p3^2*p1^4+75/4*(15936-288*n)*
p4*p2^3*p1^2-39600*p4*p1^6+400*(-11766150+202455*n-495*n^2)*p9*p2*p1+300*(-\
9123516+78408*n-216*n^2)*p8*p3*p1+3434400*p5*p1^5+225*(862560-11412*n+36*n^2)*
p8*p2*p1^2+800*(11181986640-2087841195/4*n+60056865/8*n^2-183645/4*n^3+495/8*n^
4)*p9*p1+1800/7*(-13403628+209664*n-1008*n^2)*p7*p4*p1+450*(17472691494-\
803684319*n+22768641/2*n^2-56073*n^3+63/2*n^4)*p8*p2+450*(-1151082594+40510041*
n-858807/2*n^2+2559*n^3-9/2*n^4)*p8*p1^2+2400/7*(19708545402-770175252*n+
8086932*n^2-35280*n^3)*p7*p3+1200/7*(-13728960+157248*n)*p7*p3*p2+1200/7*(
97046964-2209032*n+10584*n^2)*p7*p1^3+300*(22863352932-931785022*n+11333028*n^2
-68852*n^3+126*n^4)*p6*p4+150*(-2775662904+106513204*n-1305780*n^2+5600*n^3)*p6
*p2^2+50*(-6467328+85176*n-504*n^2)*p6*p1^4+225/8*(2420544-44480*n+128*n^2)*p4^
2*p2^2+25/4*(-111168+1728*n)*p2^3*p1^4-25200*p6*p4*p2*p1^2+302400*p6*p5*p2*p1+
518400*p7*p4*p2*p1+129600*p8*p3*p2*p1+100*(-16721280+293256*n-360*n^2)*p3^2*p2*
p1^2+50*(-30343320+871920*n-6912*n^2)*p3*p2^3*p1+50*(1384200-22176*n)*p3*p2^2*
p1^3+3600/7*(-1891862532+74710734*n-984438*n^2+4872*n^3)*p7*p2*p1+400*(-\
1950502176+61481154*n-576450*n^2+2688*n^3)*p6*p3*p1+300*(176833272-5689460*n+
65856*n^2-364*n^3)*p6*p2*p1^2+360*(-2255894010+78225450*n-959925*n^2+6330*n^3-\
15*n^4)*p5*p4*p1+240*(-2825231130+91602660*n-917820*n^2+3480*n^3)*p5*p3*p2+240*
(157968990-3308220*n+13140*n^2)*p5*p3*p1^2+7200/7*(562744823592-103244450463/2*
n+6422946201/4*n^2-45422139/2*n^3+678447/4*n^4-525*n^5)*p7*p1+180*(276484620-\
9623180*n+111960*n^2-460*n^3)*p5*p2^2*p1+84499200*p7*p3*p1^2+120*(-13215600+
273870*n-990*n^2)*p5*p2*p1^3+100*(-11400948+193824*n-1008*n^2)*p4*p3*p1^3+225/2
*(-25347688+2540552/3*n-11088*n^2+184/3*n^3)*p4*p2^2*p1^2+75/2*(963840-17376*n+
96*n^2)*p4*p2*p1^4+900/7*(1484280-22176*n)*p7*p2^2*p1+240*(-12267360+141750*n-\
630*n^2)*p6*p5*p1+150*(-19361076+317604*n-1092*n^2)*p6*p4*p2+150*(962556-14868*
n+84*n^2)*p6*p4*p1^2+75*(-113064+1680*n)*p6*p2^2*p1^2+38102400*p8*p6+225/2*(-\
3215434164+117746124*n-1531578*n^2+9308*n^3-14*n^4)*p4^2*p2+120*(-14479920+
189360*n-720*n^2)*p5*p4*p3+225/2*(198049884-18634588/3*n+87206*n^2-2012/3*n^3+2
*n^4)*p4^2*p1^2+100*(-2764459224+76389144*n-737784*n^2+3360*n^3)*p4*p3^2+75/2*(
377851176-13297464*n+162336*n^2-696*n^3)*p4*p2^3+60*(1303200-15840*n)*p5*p3*p2^
2+45187200*p5*p3^2*p1+118800*p5*p2^2*p1^3-2167200*p4*p3^2*p1^2-3600*p4*p2^2*p1^
4-576000*p3^3*p2*p1+183600*p5*p4^2*p1+64800*p5^2*p2^2+176400*p6*p4*p2^2-3628800
*p7*p6*p1-3110400*p7*p5*p2-2073600*p7*p4*p3-1209600*p6*p5*p3+237600*p10*p2*p1^2
-5742000*p9*p4*p1-1584000*p9*p3*p2+198000*p9*p2^2*p1-2624400*p8*p5*p1+900*p4^2*
p2^2*p1^2-4657500*p8*p4*p2+202500*p8*p4*p1^2-8100*p8*p2^2*p1^2-7862400*p11*p2*
p1-1900800*p10*p3*p1+1152000*p3^4-14400*p4^2*p3*p2*p1-21600*p5*p4*p2^2*p1+75/8*
(2886000-91296*n+864*n^2)*p2^4*p1^2+172800*p5*p4*p3*p2+201600*p6*p4*p3*p1+36000
*p3^2*p2^2*p1^2-3628800*p7*p2*p1^3-1411200*p6*p3*p1^3+50400*p6*p2*p1^4-2235600*
p5*p4*p1^3+67199874375*n^8-12495755587725/4*n^7+102208855351624650*n^2+68697425
/8*n^10-7444049375/8*n^9+625/4*n^12-102375/2*n^11+18662400*p7^2+600*(-888844320
+20118735*n-69615*n^2)*p12+400*(17467585747344-2835253286736*n+314766094591/2*n
^2-7792471683/2*n^3+48840887*n^4-685455/2*n^5+2245/2*n^6)*p3^2+1800*(-\
169800797930400+69862691341200*n-182019352610647/18*n^2+6114622053304/9*n^3-\
567082063865/24*n^4+32744406035/72*n^5-61826035/12*n^6+1267039/36*n^7-9767/72*n
^8+5/24*n^9)*p4+900*(77051054766240-71216758012535/3*n+46346193232537/18*n^2-\
2366258546231/18*n^3+43413517403/12*n^4-2144841151/36*n^5+7527199/12*n^6-149455
/36*n^7+124/9*n^8)*p2^2+300*(2308539010464-431201323939*n+58496603389/2*n^2-\
1917572957/2*n^3+34443297/2*n^4-181200*n^5+1045*n^6-5/2*n^7)*p1^4+3600*(-\
120052447667712+862891843806151/8*n-3094062043271885/96*n^2+1247910428184439/
288*n^3-114564010458091/384*n^4+6539484782131/576*n^5-18325805549/72*n^6+
518373781/144*n^7-38664461/1152*n^8+115859/576*n^9-355/576*n^10)*p2+75/4*(-\
21695040+355920*n-1680*n^2)*p4^3+15/8*(-40006800+1317600*n-12960*n^2)*p2^5+900*
(-3452779249920+400317288069*n-31016494359/2*n^2+1025241657/4*n^3-7833933/4*n^4
+23607/4*n^5-9/4*n^6)*p8+100*(158611824-2040066*n+7938*n^2)*p6^2-2257200*p10*p2
^2+36828000*p9*p5+31449600*p11*p3+58093200*p10*p4-2457000*p12*p1^2+
704982306794125/8*n^6-11428958292083175/8*n^5+225*(1120201404480-287606926202/3
*n+8056210196/3*n^2-34007873*n^3+752251/3*n^4-2869/3*n^5+n^6)*p4^2+75/4*(
24883539840-1584503880*n+38198280*n^2-457296*n^3+2448*n^4)*p2^4+1200*(-\
44502790740408+19236350874279/2*n-1457596596645/2*n^2+201500876997/8*n^3-\
3514957089/8*n^4+32840577/8*n^5-157395/8*n^6+147/4*n^7)*p6+150*(-3546243139896+
460979077868*n-21829014082*n^2+517875654*n^3-7090323*n^4+57670*n^5-227*n^6)*p2^
3+10*(2694951000-167574060*n+3347910*n^2-28980*n^3+90*n^4)*p1^6+3600*(
56248819103232-282975298901917/8*n+726988508316847/96*n^2-215964821222701/288*n
^3+15066023451145/384*n^4-681265323853/576*n^5+801996157/36*n^6-40722037/144*n^
7+2857439/1152*n^8-8285/576*n^9+25/576*n^10)*p1^2+144*(23487020550-925857600*n+
20343825/2*n^2-57225*n^3+225/2*n^4)*p5^2+12549486067628375*n^4-\
109571980583238625/2*n^3+720*(-93349816560+10842561895/2*n-368392695/4*n^2+
1084655/2*n^3-2805/4*n^4)*p10+28800*p4^2*p3^2-2700*p4^2*p2^3+67500*p4^3*p2-4500
*p4^3*p1^2-1231200*p5^2*p4-1675800*p6^2*p2+88200*p6^2*p1^2-1713600*p6*p4^2+
102816000*p13*p1+85995000*p12*p2-372600*p8*p1^4+41580000*p9*p1^3
[5, 5, 3, 2, 2, 2, 2]
4800*p2*p1^8+1159428959078400000*n+5760*(434058362010-99889655425/3*n+
3437550725/4*n^2-29232515/3*n^3+212945/4*n^4-215/2*n^5)*p5*p2*p1+1600*(
8763465240-510195583*n+10235879*n^2-91880*n^3+340*n^4)*p3*p2*p1^3+3600*(-\
65874889168+4450607820*n-627593087/6*n^2+3449837/3*n^3-38497/6*n^4+43/3*n^5)*p4
*p2*p1^2+2400*(-70072113640+12771060985/3*n-89043223*n^2+2527676/3*n^3-3356*n^4
)*p3*p2^2*p1+9600*(8812212283416-7209150102779/6*n+2080453653925/36*n^2-\
1291819024*n^3+545774143/36*n^4-587569/6*n^5+2605/9*n^6)*p3*p2*p1+4800*(
497255402940-36727595811*n+2660285044/3*n^2-27519610/3*n^3+142133/3*n^4-290/3*n
^5)*p4*p3*p1+1600*(537114865560-34426358790*n+706274830*n^2-6376200*n^3+24080*n
^4)*p3^2*p2+1600*(-69567923280+4451262570*n-94141740*n^2+848580*n^3-3090*n^4)*
p3^2*p1^2+160*(-980680800+48858855*n-739635*n^2+3600*n^3)*p3*p1^5+600*(
8953924560-514240974*n+10715970*n^2-104766*n^3+450*n^4)*p2^3*p1^2+300*(-\
1064020480+169591726/3*n-1075246*n^2+28574/3*n^3-38*n^4)*p2^2*p1^4+40*(
110241840-4790300*n+64500*n^2-280*n^3)*p2*p1^6+10*(-117840+1440*n)*p2^2*p1^6+50
*(1444992-32544*n+216*n^2)*p2^3*p1^4+3200*(-1269803116872+314376749743/2*n-\
85035921905/12*n^2+152288782*n^3-20830913/12*n^4+21525/2*n^5-175/6*n^6)*p3*p1^3
+3600*(-1436159234432+169299318040*n-7309237715*n^2+463109033/3*n^3-10878161/6*
n^4+36211/3*n^5-229/6*n^6)*p2^2*p1^2+1200*(196971981888-127386669857/6*n+
30527075959/36*n^2-33192047/2*n^3+3225395/18*n^4-3269/3*n^5+115/36*n^6)*p2*p1^4
+19200*(-163328600037600+313033033093595/6*n-212795193540133/36*n^2+
5658327404951/18*n^3-315113081069/36*n^4+9784160021/72*n^5-88950661/72*n^6+
469835/72*n^7-1175/72*n^8)*p3*p1+14400*(43900990581600-11085554016639*n+
9186008317268/9*n^2-1645039891273/36*n^3+80771062643/72*n^4-2344279549/144*n^5+
21109801/144*n^6-114415/144*n^7+305/144*n^8)*p2*p1^2+57600/7*(-1952229244140+
192365993183*n-12730812143/2*n^2+88591685*n^3-1070461/2*n^4+1190*n^5)*p7*p1+
4800*(-2605888422060+228999677963*n-13002887275/2*n^2+76708478*n^3-843395/2*n^4
+854*n^5)*p6*p2+4800*(345137550912-29225909125*n+1686035883/2*n^2-21073017/2*n^
3+122787/2*n^4-259/2*n^5)*p6*p1^2+3840*(-3140791086900+266718918220*n-\
14062891245/2*n^2+72730500*n^3-738165/2*n^4+725*n^5)*p5*p3+1920*(-55508045340+
4040173355*n-402059345/4*n^2+1112060*n^3-24805/4*n^4+25/2*n^5)*p5*p1^3+1800*(
504766094640-34239284442*n+1562134055/2*n^2-8265989*n^3+86973/2*n^4-83*n^5)*p4*
p2^2+600*(8004074352-497050384*n+63243797/6*n^2-312937/3*n^3+3607/6*n^4-5/3*n^5
)*p4*p1^4+33488640000*p14+11520*(-31573266204480+33375724489165/6*n-\
6232439850955/18*n^2+29694931355/3*n^3-5129293055/36*n^4+12952925/12*n^5-150965
/36*n^6+25/4*n^7)*p5*p1+7200*(-44588248584720+44197564758845/6*n-4986586946509/
12*n^2+41579901059/4*n^3-1559832653/12*n^4+10975891/12*n^5-6889/2*n^6+29/6*n^7)
*p4*p2+7200*(6869500443840-3015633002158/3*n+159002757691/3*n^2-15815121629/12*
n^3+206686249/12*n^4-1518209/12*n^5+5995/12*n^6-5/6*n^7)*p4*p1^2+14400/7*(
65514120-938112*n+2688*n^2)*p7*p4*p1+9600/7*(39150720-423360*n)*p7*p3*p2+9600/7
*(-6010200+60480*n)*p7*p3*p1^2+7200/7*(-5432280+68544*n)*p7*p2^2*p1+4800/7*(
689724-8064*n)*p7*p2*p1^3+400*(499680-5760*n)*p4*p3^2*p1^2+150*(-57744+864*n)*
p4*p2^3*p1^2+75*(7472-96*n)*p4*p2^2*p1^4+2880*(-373662300+6294915*n-11715*n^2)*
p10*p2+2880*(53694960-960135*n+2475*n^2)*p10*p1^2+6400/3*(-384228900+4692105*n-\
5445*n^2)*p9*p3+3200/3*(-6242940+172755/2*n-495/2*n^2)*p9*p1^3+1800*(-480025800
+6693750*n-17550*n^2)*p8*p4+900*(42555960-576018*n+378*n^2)*p8*p2^2+300*(606888
-4842*n+18*n^2)*p8*p1^4+11520/7*(-511005600+6733440*n-20160*n^2)*p7*p5+3200*(
51015690-1580535/2*n+2475/2*n^2)*p9*p2*p1-838656000*p11*p3+314496000*p12*p1^2-\
1834560000*p12*p2-4935168000*p13*p1+2400*(51018480-581724*n+396*n^2)*p8*p3*p1+
1800*(-6323472+87282*n-90*n^2)*p8*p2*p1^2+450*(891632-14312*n+40*n^2)*p4^2*p2*
p1^2+57600/11*(-408708300+8417409*n-21021*n^2)*p11*p1+400*(-2719440+32640*n)*p4
*p3^2*p2+640*(-4212000+43200*n)*p5*p3^2*p1+480*(-3532200+41760*n)*p5*p3*p2^2+
240*(502740-6480*n)*p5*p2^3*p1+240*(-66480+720*n)*p5*p2^2*p1^3+600*(-6194080+
87344*n-176*n^2)*p4^2*p3*p1+28800/7*(7728520548-305633503*n+3519411*n^2-12992*n
^3)*p7*p2*p1+3200*(8821104684-314575324*n+3030006*n^2-10178*n^3)*p6*p3*p1+2400*
(-1057435008+37363823*n-401478*n^2+1435*n^3)*p6*p2*p1^2+2880*(9937791480-\
1102694495/3*n+4049255*n^2-60940/3*n^3+30*n^4)*p5*p4*p1+1920*(8534734920-\
261244420*n+2431140*n^2-7880*n^3)*p5*p3*p2+1920*(-1153087140+36750300*n-342180*
n^2+1200*n^3)*p5*p3*p1^2+1440*(-1072126540+34582665*n-354045*n^2+1200*n^3)*p5*
p2^2*p1+200*(-4180680+52164*n)*p6*p2^3+1920*(68011860-927150*n+3150*n^2)*p6*p5*
p1+1200*(51719640-735672*n+1932*n^2)*p6*p4*p2+1200*(-8153208+118188*n-420*n^2)*
p6*p4*p1^2+1600/3*(597492-4536*n)*p6*p3*p1^3+576*(53365800-761850*n+2250*n^2)*
p5^2*p2+600*(632856-7560*n)*p6*p2^2*p1^2+576*(-8211600+112050*n-450*n^2)*p5^2*
p1^2+200*(-64008+588*n)*p6*p2*p1^4+960*(45666000-602280*n+1320*n^2)*p5*p4*p3+
480*(908700-12540*n+60*n^2)*p5*p4*p1^3-13305600*p6*p5*p2*p1+75*(-98608+1352*n-8
*n^2)*p4^2*p1^4-13132800*p7*p4*p2*p1+518400*p5*p4*p2^2*p1-57600*p5*p4*p2*p1^3+
268800*p4^2*p3*p2*p1-3225600*p5*p4*p3*p2+691200*p5*p4*p3*p1^2+1108800*p6*p4*p2*
p1^2-7795200*p6*p4*p3*p1+400*(107658780-2707920*n+19008*n^2)*p3*p2^3*p1+300*(-\
14969504+1233328/3*n-4100*n^2+56/3*n^3)*p4*p2*p1^4+800*(136405332-3840524*n+
35460*n^2-160*n^3)*p4*p3*p1^3+960*(131988270-4080145*n+40425*n^2-140*n^3)*p5*p2
*p1^3+900*(134837672-4127776*n+42616*n^2-160*n^3)*p4*p2^2*p1^2+800*(118141800-\
2831220*n+16740*n^2)*p3^2*p2*p1^2+400*(-13242000+310224*n-1872*n^2)*p3*p2^2*p1^
3+1600/3*(33561360-332640*n)*p6*p3^2+80*(1190940-17280*n)*p3*p2*p1^5-268800*p3*
p1^7+75/2*(341280-5184*n)*p4*p2^4+225*(-5183760+80808*n-168*n^2)*p4^2*p2^2+20*(
1218120-20280*n+120*n^2)*p4*p1^6+300*(-971481744+28953144*n-287100*n^2+936*n^3)
*p4*p2^3+800*(8829626160-238146700*n+2039100*n^2-6080*n^3)*p4*p3^2+3200/9*(-\
1008709200+23715720*n-141480*n^2)*p3^3*p1+400*(-858093600+20793300*n-136260*n^2
)*p3^2*p2^2+400/3*(-12121200+205380*n-180*n^2)*p3^2*p1^4+6400*(-45811659960+
2349598020*n-138697515/4*n^2+311685/2*n^3-495/4*n^4)*p9*p1+3600*(-52508649240+
2278703910*n-27890046*n^2+108132*n^3-36*n^4)*p8*p2+3600*(6864631920-307375788*n
+4023405*n^2-17754*n^3+9*n^4)*p8*p1^2+19200/7*(-62254500840+2428780410*n-\
23957010*n^2+80640*n^3)*p7*p3+9600/7*(-945897876+35758947*n-392175*n^2+1680*n^3
)*p7*p1^3+2400*(-71365307580+2826307645*n-29866179*n^2+138803*n^3-189*n^4)*p6*
p4+1200*(7880537196-270471201*n+2827356*n^2-9555*n^3)*p6*p2^2+400*(116703636-\
3504865*n+29064*n^2-119*n^3)*p6*p1^4+96*(-12529200+266625*n-1125*n^2)*p5*p1^5+
900*(9339188640-301837760*n+3231336*n^2-14912*n^3+16*n^4)*p4^2*p2+900*(-\
1278218000+44009048*n-509740*n^2+2824*n^3-4*n^4)*p4^2*p1^2+1296000*p3^2*p2^3-\
768000*p3^3*p1^3+158400*p10*p1^4+194400*p8*p2^2*p1^2-10800*p8*p2*p1^4+164505600
*p7*p6*p1+78796800*p7*p5*p2-12441600*p7*p5*p1^2+41472000*p7*p4*p3+691200*p7*p4*
p1^3-7315200*p5*p3*p1^4+216000*p5*p2*p1^5+172800*p4*p3*p1^5-4800*p4*p2*p1^6+
251596800*p11*p2*p1+10752000*p3^3*p2*p1-864000*p3^2*p2^2*p1^2-19200*p4^2*p3*p1^
3-21600*p4^2*p2^2*p1^2+1200*p4^2*p2*p1^4-4147200*p5^2*p3*p1+518400*p5^2*p2*p1^2
-6796800*p5*p4^2*p1-2872800*p6*p4*p2^2-16800*p6*p4*p1^4+403200*p6*p5*p1^3-\
15360000*p3^4+172800*p8*p3*p1^3+29568000*p9*p3*p2+46771200*p6*p5*p3+111513600*
p10*p3*p1-15206400*p10*p2*p1^2+212256000*p9*p4*p1-6336000*p9*p3*p1^2-4752000*p9
*p2^2*p1+528000*p9*p2*p1^3+185587200*p8*p5*p1+79380000*p8*p4*p2-16200000*p8*p4*
p1^2-2419200*p8*p3*p2*p1-1165824000*p9*p5+33768000*p6*p4^2+48000*p3^2*p2*p1^4+
2400*(-1109429456+97957588/3*n-306572*n^2+3152/3*n^3)*p4*p3*p2*p1+400*(-62448+
768*n)*p4*p3*p2*p1^3+600*(411680-5568*n)*p4*p3*p2^2*p1+1440*(-6952640+104460*n-\
300*n^2)*p5*p4*p2*p1+960*(554040-5760*n)*p5*p3*p2*p1^2+1600*(-4874940+51744*n)*
p6*p3*p2*p1+34905600*p5^2*p4-1555200*p5^2*p2^2-1738840505080500*n^6+
85853951217608500/3*n^5+1093661169786009200*n^3-755113209125542600/3*n^4-\
1160315601250*n^8+59060012617250*n^7-319636400/3*n^10+13839831800*n^9+75*(-\
12984480+333504*n-2592*n^2)*p2^4*p1^2+15*(94435200-2462400*n+19440*n^2)*p2^5+
7200*(10082245773600-1172383790670*n+88957473333/2*n^2-2709906489/4*n^3+
16838565/4*n^4-39591/4*n^5+9/4*n^6)*p8+1200*(10097875686624-2570130341757/2*n+
228247861029/4*n^2-2390243241/2*n^3+27640989/2*n^4-91137*n^5+1137/4*n^6)*p2^3+
80*(-25489244160+2435535945*n-167538145/2*n^2+1312130*n^3-19175/2*n^4+25*n^5)*
p1^6+14400*(448516134612000-372976918006875/2*n+244371758710250/9*n^2-\
10877098908599/6*n^3+8783901184925/144*n^4-17249957491/16*n^5+1500857651/144*n^
6-2821405/48*n^7+181*n^8-5/24*n^9)*p4+7200*(-207298314576000+128944815730205/2*
n-6978730527756*n^2+8324102452051/24*n^3-53178890341/6*n^4+6104672345/48*n^5-\
17982303/16*n^6+289481/48*n^7-763/48*n^8)*p2^2+28800*(304763736695040-\
1658155431414775/6*n+1999652349747227/24*n^2-2428938313778915/216*n^3+
221037398492539/288*n^4-2029912512679/72*n^5+83741617699/144*n^6-1025061691/144
*n^7+16008509/288*n^8-116903/432*n^9+95/144*n^10)*p2+2400*(-8229529428480+
10602398343389/6*n-2573686243067/18*n^2+416927427773/72*n^3-1183112831/9*n^4+
256520971/144*n^5-2134559/144*n^6+10435/144*n^7-25/144*n^8)*p1^4+28800*(-\
146307682080000+94461663082489*n-188559626725124/9*n^2+13029381980789/6*n^3-\
959790652895/8*n^4+182959900609/48*n^5-21181675807/288*n^6+43286723/48*n^7-\
172457/24*n^8+425/12*n^9-25/288*n^10)*p1^2+150*(57342000-828840*n+2280*n^2)*p4^
3+1152*(-74025907200+2911813900*n-30314325*n^2+145850*n^3-225*n^4)*p5^2-\
10483200*p11*p1^3-1268784000*p10*p4-3110400*p7*p1^5+41342400*p10*p2^2-900000*p4
^3*p2+216000*p4^3*p1^2-384000*p4^2*p3^2+32400*p4^2*p2^3+33600*p6*p1^6+39513600*
p6^2*p2-5644800*p6^2*p1^2-291600*p8*p2^3-1052352000*p8*p6+3456000*p8*p3^2-1250*
n^12+1544750/3*n^11-497664000*p7^2-2028322782487500000*n^2+150*(-68226420480+
3915482220*n-80945604*n^2+788652*n^3-3348*n^4)*p2^4+5760*(286916830200-\
16559099700*n+264825330*n^2-1205985*n^3+1155*n^4)*p10+1800*(-3347232955200+
855051614140/3*n-7588550009*n^2+245459873/3*n^3-475690*n^4+1349*n^5-n^6)*p4^2+
3200*(-49576433698080+8114259884350*n-1342006335985/3*n^2+21270550785/2*n^3-\
724025135/6*n^4+1487815/2*n^5-12635/6*n^6)*p3^2+9600*(123343624764360-\
26885170047120*n+24376041658801/12*n^2-545260575391/8*n^3+6541141943/6*n^4-\
34170493/4*n^5+400477/12*n^6-399/8*n^7)*p6+10/7*(-9569280+283920*n-1680*n^2)*p1
^8+4800*(2856999600-63647220*n+158340*n^2)*p12+800*(-520097760+6689088*n-21168*
n^2)*p6^2
[5, 5, 2, 2, 2, 2, 2, 2]
384000*(-5719066125330+2440042909805/3*n-121730506226/3*n^2+3667013793/4*n^3-\
123163199/12*n^4+722185/12*n^5-1865/12*n^6)*p3*p2*p1-24095326826188800000*n+
16000*(77480-960*n)*p4*p3*p2*p1^3+24000*(-293160+3600*n)*p4*p3*p2^2*p1+57600*(
5678790-82584*n+180*n^2)*p5*p4*p2*p1+64000*(4398240-45360*n)*p6*p3*p2*p1+96000*
(920201730-25589060*n+217972*n^2-580*n^3)*p4*p3*p2*p1+27099072000*p10*p4-\
1111968000*p10*p2^2+38400*(-645000+7200*n)*p5*p3*p2*p1^2+288000*(-4705868001044
+8828442263765/12*n-999002124779/24*n^2+8792305397/8*n^3-29073717/2*n^4+2337805
/24*n^5-7801/24*n^6+5/12*n^7)*p4*p1^2+128000*(992849780250-135572480499*n+
61158815966/9*n^2-1928956523/12*n^3+68981375/36*n^4-136345/12*n^5+1025/36*n^6)*
p3*p1^3+144000*(1053832059304-532254472257/4*n+48724634027/8*n^2-1048980829/8*n
^3+1454276*n^4-68257/8*n^5+181/8*n^6)*p2^2*p1^2+48000*(-181088540016+
266204942981/12*n-24279786703/24*n^2+176559459/8*n^3-1477975/6*n^4+33485/24*n^5
-85/24*n^6)*p2*p1^4+768000*(93540495501180-61418433574215/2*n+32313122679920/9*
n^2-4737044526541/24*n^3+135478781827/24*n^4-350346951/4*n^5+2257445/3*n^6-\
86645/24*n^7+575/72*n^8)*p3*p1+576000*(-26655830876016+42391599593603/6*n-\
16519844358661/24*n^2+1569338556071/48*n^3-20193846407/24*n^4+196865695/16*n^5-\
5014769/48*n^6+2019/4*n^7-55/48*n^8)*p2*p1^2+460800*(19576173287706-\
14321492168791/4*n+5561967199963/24*n^2-6834833981*n^3+294478934/3*n^4-5502365/
8*n^5+56665/24*n^6-25/8*n^7)*p5*p1+384000/7*(-27705300+277200*n)*p7*p3*p2+
384000/7*(7398300-75600*n)*p7*p3*p1^2+64000*(-9359209170+1825850260/3*n-\
13084251*n^2+342725/3*n^3-380*n^4)*p3*p2*p1^3+128000*(-45473670+1340361/2*n-\
1485/2*n^2)*p9*p2*p1+96000*(-45008640+482868*n-180*n^2)*p8*p3*p1+23900735478000
*n^8-1251286895268000*n^7+111454902094924000/3*n^6-1831065611908510000/3*n^5+
5333000606359048000*n^4-68952551955481768000/3*n^3+51840000*p8*p3*p2*p1+
42320941427531872000*n^2+72000*(7520112-97038*n+54*n^2)*p8*p2*p1^2+288000*(
26434551720724-17699026024209/4*n+6017524612933/24*n^2-49445894643/8*n^3+
439254355/6*n^4-3727197/8*n^5+36463/24*n^6-7/4*n^7)*p4*p2+16588800000*p7^2+
580608000*p6*p5*p2*p1+576000/7*(-55749330+744408*n-1680*n^2)*p7*p4*p1-6400*p4*
p1^8+364800*p5*p1^7+16000*(-419800+4800*n)*p4*p3^2*p1^2+1600*(-19720+240*n)*p4*
p3*p1^5+6000*(51192-648*n)*p4*p2^3*p1^2+3000*(-12144+144*n)*p4*p2^2*p1^4+400*(
2600-24*n)*p4*p2*p1^6-937681920000*p14+72000*(315740040-3975030*n+8550*n^2)*p8*
p4+36000*(-30578040+363042*n-162*n^2)*p8*p2^2+12000*(-1679688+24354*n-18*n^2)*
p8*p1^4-25920000*p3^2*p2^3+25600000*p3^3*p1^3+16000*(1500200-16800*n)*p4*p3^2*
p2+256000/3*(260762040-2968515*n+2475*n^2)*p9*p3+128000/3*(10565676-372735/2*n+
495/2*n^2)*p9*p1^3+2304000/11*(352402050-7486479*n+15015*n^2)*p11*p1+24000*(
4083120-53808*n+80*n^2)*p4^2*p3*p1+115200*(261361100-4219215*n+6435*n^2)*p10*p2
+18000*(-831312+12648*n-24*n^2)*p4^2*p2*p1^2+115200*(-62422360+1237665*n-2145*n
^2)*p10*p1^2+12000*(27147660-810998*n+7228*n^2-22*n^3)*p4*p2*p1^4+288000/7*(
4914630-52920*n)*p7*p2^2*p1+192000/7*(-1167810+12600*n)*p7*p2*p1^3+76800*(-\
61038180+883008*n-2520*n^2)*p6*p5*p1+48000*(-34551720+463176*n-1008*n^2)*p6*p4*
p2+48000*(9491832-137592*n+336*n^2)*p6*p4*p1^2+64000/3*(-1149120+11760*n)*p6*p3
*p1^3+24000*(-744408+7560*n)*p6*p2^2*p1^2+8000*(169176-1512*n)*p6*p2*p1^4+38400
*(-27067320+340800*n-600*n^2)*p5*p4*p3+19200*(-1533258+24180*n-60*n^2)*p5*p4*p1
^3+23040*(-36842400+527310*n-1350*n^2)*p5^2*p2+25600*(3378360-36000*n)*p5*p3^2*
p1+23040*(10178280-158850*n+450*n^2)*p5^2*p1^2+460800/7*(348504660-4609080*n+
12600*n^2)*p7*p5+19200/7*(245910-2520*n)*p7*p1^5+19200*(2428200-27000*n)*p5*p3*
p2^2+6400*(165000-1800*n)*p5*p3*p1^4+64000/3*(-22291920+218400*n)*p6*p3^2+8000*
(3016440-31752*n)*p6*p2^3+9600*(-434970+4860*n)*p5*p2^3*p1+9600*(104310-1080*n)
*p5*p2^2*p1^3+1600/3*(-32760+168*n)*p6*p1^6+1920*(-22650+180*n)*p5*p2*p1^5+
76800*(-5794094250+171134730*n-1502400*n^2+4350*n^3)*p5*p3*p2+76800*(1200322590
-41184110*n+381900*n^2-1150*n^3)*p5*p3*p1^2+57600*(903614385-28186740*n+263241*
n^2-765*n^3)*p5*p2^2*p1+38400*(-178560135+6037092*n-57765*n^2+165*n^3)*p5*p2*p1
^3+36000*(-140438004+4015242*n-35880*n^2+102*n^3)*p4*p2^2*p1^2+3200*(-3437750+
73980*n-360*n^2)*p3*p2*p1^5+230400*(-314498299560+25113318625*n-2625889551/4*n^
2+14100163/2*n^3-136035/4*n^4+60*n^5)*p5*p2*p1+192000*(-359683224750+
83010132688/3*n-675942848*n^2+6542533*n^3-29705*n^4+140/3*n^5)*p4*p3*p1+144000*
(56789943164-4111839615*n+99277019*n^2-1009911*n^3+4691*n^4-8*n^5)*p4*p2*p1^2+
96000*(53588662890-3326230010*n+67400285*n^2-582133*n^3+2010*n^4)*p3*p2^2*p1+
9000*(3044640-43272*n+72*n^2)*p4^2*p2^2+3000*(220608-3624*n+8*n^2)*p4^2*p1^4+
1152000/7*(-6273321390+252476385*n-2763957*n^2+8400*n^3)*p7*p2*p1+128000*(-\
7167268080+262183600*n-2443224*n^2+7280*n^3)*p6*p3*p1+96000*(1086019326-\
40349568*n+411936*n^2-1176*n^3)*p6*p2*p1^2+1500*(-203040+2592*n)*p4*p2^4+115200
*(-8000620131+299204666*n-3087636*n^2+13225*n^3-15*n^4)*p5*p4*p1+187536384000*
p13*p1+1048320000*p11*p1^3+20966400000*p11*p3+256000*(35286932142-7548866523/4*
n+225149661/8*n^2-430155/4*n^3+495/8*n^4)*p9*p1-5760000*p4^2*p3*p2*p1+3456000*
p5*p4*p2*p1^3+64000*p3^2*p1^6+69120000*p5*p4*p3*p2-23040000*p5*p4*p3*p1^2-\
15552000*p5*p4*p2^2*p1+215040000*p6*p4*p3*p1-48384000*p6*p4*p2*p1^2-17821440000
*p12*p1^2+414720000*p7*p4*p2*p1+32000*(-187845750+17689232/3*n-52900*n^2+460/3*
n^3)*p4*p3*p1^3+32000*(-128826620+3030780*n-18540*n^2)*p3^2*p2*p1^2+16000*(-\
92932470+2080620*n-12960*n^2)*p3*p2^3*p1+16000*(18684850-422520*n+2520*n^2)*p3*
p2^2*p1^3+384000/7*(1180129230-52565639*n+652575*n^2-1960*n^3)*p7*p1^3+96000*(
46761796326-1814688708*n+17980284*n^2-74340*n^3+84*n^4)*p6*p4+48000*(-\
5420923578+180370008*n-1733760*n^2+5040*n^3)*p6*p2^2+16000*(-202124538+8007328*
n-86520*n^2+224*n^3)*p6*p1^4+3840*(32534385-1117820*n+10245*n^2-25*n^3)*p5*p1^5
+36000*(-6202733208+187152624*n-1807098*n^2+6960*n^3-6*n^4)*p4^2*p2+36000*(
1295584888-45940760*n+480846*n^2-2024*n^3+2*n^4)*p4^2*p1^2+53464320000*p12*p2+
3200/21*(564690-9240*n)*p3*p1^7+2000*(-2593656+53028*n-324*n^2)*p2^3*p1^4+400*(
447160-7620*n+36*n^2)*p2^2*p1^6+200/7*(-69440+672*n)*p2*p1^8+2304000/7*(
1339716607110-276011155973/2*n+18944364957/4*n^2-131829621/2*n^3+1428315/4*n^4-\
665*n^5)*p7*p1+192000*(1635382027860-144675691377*n+4062713004*n^2-45606351*n^3
+225183*n^4-399*n^5)*p6*p2+192000*(-275924379696+25356418325*n-789719280*n^2+
10159401*n^3-52017*n^4+91*n^5)*p6*p1^2+153600*(1964669924280-167650230625*n+
4361265445*n^2-42839700*n^3+200150*n^4-350*n^5)*p5*p3+72000*(-326674884180+
22090295162*n-483956577*n^2+4657243*n^3-21117*n^4+33*n^5)*p4*p2^2+24000*(-\
9714650460+2156921212/3*n-18142595*n^2+191851*n^3-875*n^4+5/3*n^5)*p4*p1^4+
64000*(-346625596680+66531053620/3*n-439977135*n^2+11105330/3*n^3-12635*n^4)*p3
^2*p2+64000*(60386705280-12584651120/3*n+93820825*n^2-2479570/3*n^3+2845*n^4)*
p3^2*p1^2+6400*(1589210130-310556450/3*n+2219385*n^2-54895/3*n^3+50*n^4)*p3*p1^
5+24000*(-8240306880+488119077*n-9705195*n^2+83511*n^3-297*n^4)*p2^3*p1^2+
144000*(34885386228-1500870159*n+35034921/2*n^2-58275*n^3+27/2*n^4)*p8*p2+
144000*(-6570545388+322911825*n-8924067/2*n^2+15429*n^3-9/2*n^4)*p8*p1^2+768000
/7*(40990288500-1579621190*n+14877030*n^2-44800*n^3)*p7*p3-115200*p5*p4*p1^5-\
1290240000*p6*p5*p3-64512000*p6*p5*p1^3+72576000*p6*p4*p2^2+2688000*p6*p4*p1^4-\
5760000*p8*p3*p1^3-5832000*p8*p2^2*p1^2+648000*p8*p2*p1^4-7741440000*p7*p6*p1-\
2488320000*p7*p5*p2+829440000*p7*p5*p1^2-921600000*p7*p4*p3-46080000*p7*p4*p1^3
+211200000*p9*p3*p1^2+142560000*p9*p2^2*p1-31680000*p9*p2*p1^3-7104153600*p8*p5
*p1-1846800000*p8*p4*p2+615600000*p8*p4*p1^2+741312000*p10*p2*p1^2-5721408000*
p9*p4*p1-633600000*p9*p3*p2+256000000*p3^4+76800*(53615527590-4423186213*n+
498389197/4*n^2-1464810*n^3+28385/4*n^4-25/2*n^5)*p5*p1^3+3000*(13722480-297432
*n+1944*n^2)*p2^4*p1^2+12000*(1425814440-85717766*n+1714496*n^2-14170*n^3+48*n^
4)*p2^2*p1^4+1600*(-237574920+41553145/3*n-258399*n^2+5387/3*n^3-5*n^4)*p2*p1^6
+32000*(-5820937500+435491660/3*n-1138540*n^2+8200/3*n^3)*p4*p3^2+12000*(
672408612-18022842*n+155736*n^2-414*n^3)*p4*p2^3+800*(-4785756+408098/3*n-1036*
n^2+10/3*n^3)*p4*p1^6+128000/9*(847245600-18986040*n+113400*n^2)*p3^3*p1+16000*
(601500100-13327620*n+80820*n^2)*p3^2*p2^2+16000/3*(25378980-637140*n+3780*n^2)
*p3^2*p1^4-9434880000*p11*p2*p1-3294720000*p10*p3*p1-230400000*p3^3*p2*p1+
25920000*p3^2*p2^2*p1^2-2880000*p3^2*p2*p1^4+640000*p4^2*p3*p1^3+648000*p4^2*p2
^2*p1^2-72000*p4^2*p2*p1^4+138240000*p5^2*p3*p1-31104000*p5^2*p2*p1^2+149990400
*p5*p4^2*p1+1881464000*n^10-804951998000/3*n^9-24080000/3*n^11+50000/3*n^12+
576000*(-247846461244200+104358285318980*n-122940126277643/8*n^2+
148707774824963/144*n^3-830314049809/24*n^4+28575019031/48*n^5-258242833/48*n^6
+656989/24*n^7-1177/16*n^8+5/72*n^9)*p4+6400*p1^10+384000*(-71387805621132+
15756448389584*n-1199355794896*n^2+160342829157/4*n^3-2494898189/4*n^4+18142075
/4*n^5-63399/4*n^6+21*n^7)*p6+48000*(-6169962395112+3182234051007/4*n-\
282360964965/8*n^2+5724620895/8*n^3-7627938*n^4+354627/8*n^5-939/8*n^6)*p2^3+
1152000*(79481429985888-210020122609535/4*n+1728022378608139/144*n^2-\
558108464204651/432*n^3+43017763539887/576*n^4-477668539697/192*n^5+9544587329/
192*n^6-175376945/288*n^7+2648393/576*n^8-35365/1728*n^9+25/576*n^10)*p1^2+6000
*(-29991360+393960*n-840*n^2)*p4^3+46080*(48695458140-1893829665*n+38068155/2*n
^2-84525*n^3+225/2*n^4)*p5^2+230400*(-184546301940+63850301515/6*n-666924115/4*
n^2+4079075/6*n^3-2145/4*n^4)*p10+32000*(359220960-4826304*n+14112*n^2)*p6^2+
288000*(-6148284302160+721070504836*n-54570939447/2*n^2+1618690895/4*n^3-\
9194343/4*n^4+18681/4*n^5-3/4*n^6)*p8+6000*(45965921040-2586253140*n+49465512*n
^2-423324*n^3+1512*n^4)*p2^4-41184000*p10*p1^4+400/7*(37776480-6037304/3*n+
30128*n^2-280/3*n^3)*p1^8+30868992000*p9*p5+451584000*p6^2*p1^2-1354752000*p6^2
*p2+5832000*p8*p2^3-14400*p8*p1^6+32731776000*p8*p6-57600000*p8*p3^2+1056000*p9
*p1^5+15120000*p4^3*p2+1728000*p5^2*p1^4+46656000*p5^2*p2^2-711244800*p5^2*p4-\
653184000*p6*p4^2+1600*p4^2*p1^6-648000*p4^2*p2^3+6400000*p4^2*p3^2-5040000*p4^
3*p1^2+128000*(29361528226800-4866360394110*n+2423884615670/9*n^2-18936636455/3
*n^3+613155290/9*n^4-1166245/3*n^5+8930/9*n^6)*p3^2+3200*(30991601376-\
14582056761/4*n+11594996899/72*n^2-81274099/24*n^3+632809/18*n^4-4055/24*n^5+25
/72*n^6)*p1^6+288000*(116728340677200-36861706493683*n+32309238910905/8*n^2-\
3226251233785/16*n^3+20368201351/4*n^4-1118618125/16*n^5+9080721/16*n^6-21541/8
*n^7+97/16*n^8)*p2^2+96000*(5606571305376-1312278740828*n+8461483594825/72*n^2-\
255703696487/48*n^3+1622461457/12*n^4-31900613/16*n^5+818051/48*n^6-1925/24*n^7
+25/144*n^8)*p1^4+1152000*(-162278509101408+1783390081347295/12*n-\
725133175781857/16*n^2+296677605240535/48*n^3-27168480647457/64*n^4+
2985387424187/192*n^5-60275968303/192*n^6+116545399/32*n^7-4999349/192*n^8+
21551/192*n^9-15/64*n^10)*p2+192000*(-1925829360+42418740*n-92820*n^2)*p12+600*
(-67467600+1474200*n-9720*n^2)*p2^5+72000*(2091245411080-178451027336*n+
13940062828/3*n^2-46359125*n^3+716551/3*n^4-559*n^5+1/3*n^6)*p4^2
[5, 4, 4, 4, 2]
3119782379520000*n-140800*p9*p1^3-276480*p7*p2^2*p1-207360*p5*p3*p2^2-645120*p5
*p4*p2*p1+3110400*p8*p2^2+3870720*p5^2*p2+47001600*p14-172800*p4^2*p2^2+64*(
1778880-28080*n)*p5*p4*p3+128/3*(-141390+2430*n)*p5*p3^2*p1+128*(476070-5670*n)
*p6*p5*p1+80*(476952-4536*n)*p6*p4*p2+80*(-21672+336*n)*p6*p4*p1^2+640/3*(
167640-990*n)*p9*p2*p1+160*(857520-16200*n)*p8*p3*p1+960/7*(683424-10976*n)*p7*
p4*p1+640/7*(787920-8568*n)*p7*p3*p2+3840/11*(-4320316+84084*n)*p11*p1+640/7*(-\
43680+672*n)*p7*p3*p1^2+192*(-4187480+33000*n)*p10*p2+192*(186120-2640*n)*p10*
p1^2+128*(164667750-4889340*n+34560*n^2)*p5*p3*p2+128*(-9416910+326940*n-2880*n
^2)*p5*p3*p1^2+96*(-3145200+39600*n)*p5*p2^2*p1+60*(83520-1152*n)*p4*p2^2*p1^2+
1920/7*(72279480-2142784*n+13440*n^2)*p7*p2*p1+768/7*(-10435320+125160*n)*p7*p5
+320/27*(11880-162*n)*p3^3*p2*p1+40*(-135360+2400*n)*p4^2*p3*p1+80/3*(-142200+
1944*n)*p4*p3^2*p2+80/3*(8712-144*n)*p4*p3^2*p1^2+320/9*(2211300-34776*n)*p6*p3
^2+1280/9*(-12448260+241560*n)*p9*p3+640*(210870741870-50959150085/2*n+
1037404982*n^2-35859405/2*n^3+138169*n^4-408*n^5)*p3*p2*p1+160/3*(862200-26532*
n+216*n^2)*p3^2*p2*p1^2+80/3*(285120-3888*n)*p3*p2^3*p1+384*(7176528090-\
449897780*n+8215020*n^2-44600*n^3)*p5*p2*p1+320*(9699962736-687925436*n+
15944218*n^2-141228*n^3+362*n^4)*p4*p3*p1+320/3*(45863340-2253834*n+38088*n^2-\
216*n^3)*p3*p2*p1^3+640/3*(139443990-11052237/2*n+57645*n^2-105/2*n^3)*p6*p3*p1
+120*(-11427360+185760*n)*p8*p4+160*(-3474072+80052*n-504*n^2)*p6*p2*p1^2+192*(
133346820-4631960*n+38040*n^2)*p5*p4*p1+120*(9832894416-539241216*n+7864032*n^2
-39984*n^3)*p4*p2^2+40*(33409776-1660128*n+27456*n^2-128*n^3)*p4*p1^4+320/3*(
12949009140-847445925*n+17394318*n^2-135357*n^3+324*n^4)*p3^2*p2+320/3*(-\
931912548+59404965*n-1318128*n^2+11625*n^3-30*n^4)*p3^2*p1^2+32/3*(-2157240+
106080*n-1440*n^2)*p3*p1^5+40*(25752384-698976*n+5184*n^2)*p2^3*p1^2+20*(-\
351360+6912*n)*p2^2*p1^4+768*(-863490762470+836695294175/6*n-23079063175/3*n^2+
1077204955/6*n^3-5154680/3*n^4+5000*n^5)*p5*p1+480*(-1316106560920+617110532866
/3*n-10582955884*n^2+642744914/3*n^3-1566752*n^4+4336*n^5)*p4*p2+480*(
149092846920-56247052058/3*n+2447833192/3*n^2-15458334*n^3+383108/3*n^4-1120/3*
n^5)*p4*p1^2+640/3*(-20017100502+4075582825/2*n-74818635*n^2+2539697/2*n^3-\
10110*n^4+30*n^5)*p3*p1^3+240*(-23115331216+2079825400*n-62227456*n^2+774600*n^
3-3696*n^4)*p2^2*p1^2+80*(1754652384-134725368*n+3699120*n^2-44896*n^3+192*n^4)
*p2*p1^4+1280*(-5338453745304+4798752562090/3*n-500783718397/3*n^2+7890339841*n
^3-544216547/3*n^4+6061525/3*n^5-10672*n^6+70/3*n^7)*p3*p1+960*(1255798666656-\
843399581986/3*n+65919622244/3*n^2-778473454*n^3+40450624/3*n^4-342056/3*n^5+
400*n^6)*p2*p1^2+60*(-8855200+291520*n-2560*n^2)*p4^2*p1^2+160/3*(295722312-\
11718006*n+121932*n^2-246*n^3)*p4*p3^2+640/27*(-25912710+2042721/2*n-11313*n^2+
45/2*n^3)*p3^3*p1+80/3*(-14909760+379080*n-2592*n^2)*p3^2*p2^2+80/9*(-33552+864
*n)*p3^2*p1^4+320*(-64333258080+5197762969*n-119305830*n^2+727097*n^3-756*n^4)*
p6*p2+320*(4991126112-352264017*n+7903280*n^2-60333*n^3+70*n^4)*p6*p1^2+256*(-\
84946547160+7320064415*n-192686070*n^2+1683115*n^3-4140*n^4)*p5*p3+128*(-\
465460830+26360190*n-475440*n^2+2760*n^3)*p5*p1^3+240*(56471760-2106000*n+18720
*n^2)*p8*p1^2+1280/7*(-1629610416+73679102*n-816060*n^2+1078*n^3)*p7*p3+640/7*(
-3125304+94752*n-672*n^2)*p7*p1^3+160*(-1719855480+70889966*n-627900*n^2+574*n^
3)*p6*p4+80*(80796576-1428840*n+6048*n^2)*p6*p2^2+80/3*(86352-2016*n)*p6*p1^4+
291840*p7*p4*p3-15360*p7*p3^2*p1+80640*p6*p5*p3+70400*p9*p4*p1+107520*p7*p6*p1+
105256960/9*n^9-102400/3*n^10+26880*p6*p3*p1^3+34560*p4*p3*p2^2*p1-1280*p3^3*p1
^3+1280/3*(-716312190+66355135/2*n-378015*n^2+275/2*n^3)*p9*p1+240*(-990631920+
35749440*n-224640*n^2)*p8*p2+160/3*(577164-19008*n+144*n^2)*p4*p3*p1^3+3840/7*(
-41863705240+11145890980/3*n-312401992/3*n^2+3012380/3*n^3-4928/3*n^4)*p7*p1-\
2150400*p13*p1-2365440*p10*p4-4193280*p11*p3-3840*p5*p3^3-1209600*p8*p6-422400*
p9*p5+240*(-629631584+32646584*n-537008*n^2+3072*n^3)*p4*p2*p1^2+160*(-\
830120112+40749144*n-654192*n^2+3636*n^3)*p3*p2^2*p1+60*(160342560-4612800*n+
33600*n^2)*p4^2*p2+20*(-3357504+46656*n)*p4*p2^3-9600*p4^2*p3^2-13440*p6*p4*p3*
p1+253440*p10*p3*p1+160*(-12020220+375096*n-2952*n^2)*p4*p3*p2*p1+320/3*(-39816
+378*n)*p6*p3*p2*p1-1105920*p7^2+640*p4*p3^3*p1+67200*p6*p4^2+172800*p8*p3^2+
25680770208619520/9*n^3-1914874492282880/3*n^4-16202474437253120/3*n^2+16/3*(-\
110078640+7703520*n-200640*n^2+1920*n^3)*p1^6+320*(64602720-1485120*n)*p12+960*
(15808904879040-6352378688106*n+7995036411424/9*n^2-56073867078*n^3+15270982588
/9*n^4-69859300/3*n^5+1064968/9*n^6-728/3*n^7)*p4+160/3*(-10943856+127008*n)*p6
^2+160/81*(-424440+6480*n)*p3^4+10*(1756800-28800*n)*p4^3+384*(7167560400-\
1242626990/3*n+5805140*n^2-12430/3*n^3)*p10+640/3*(-1497916304712+239352845038*
n-12935969690*n^2+293808884*n^3-2853278*n^4+12546*n^5-20*n^6)*p3^2+384/5*(-\
1736538300+66851400*n-453600*n^2)*p5^2+160*(-181658054304+95795390242/3*n-\
2031715992*n^2+185396930/3*n^3-2952820/3*n^4+8088*n^5-80/3*n^6)*p1^4+1920*(
11666237466240-30939026985712/3*n+27058317223916/9*n^2-1165769656048/3*n^3+
223680862052/9*n^4-2422486540/3*n^5+114359312/9*n^6-85004*n^7+752/3*n^8)*p2+640
*(3912324015600-823331157404*n+178330270706/3*n^2-1817898362*n^3+67160786/3*n^4
-73178*n^5+140/3*n^6)*p6+80*(256090258944-28145126592*n+940355712*n^2-10924920*
n^3+49248*n^4)*p2^3+119364756480*n^7-5351464960/3*n^8+1290240*p5*p2*p1^3-69120*
p3*p2^2*p1^3+10*(-629752320+16619904*n-124416*n^2)*p2^4+480*(-6961368612384+
6178074970250/3*n-207980046736*n^2+27411764818/3*n^3-179061220*n^4+1422400*n^5-\
4768*n^6)*p2^2+480*(283712869440-32211381460*n+1153674840*n^2-14000660*n^3+
26640*n^4)*p8+120*(-89277170080+22692962480/3*n-192325360*n^2+4716400/3*n^3-\
3920*n^4)*p4^2+1920*(-5371344316800+3291118479568*n-6114544188620/9*n^2+
63641528536*n^3-27227151268/9*n^4+228404660/3*n^5-9187672/9*n^6+21508/3*n^7-200
/9*n^8)*p1^2+209330266265600/3*n^5-3979329761280*n^6
[5, 4, 4, 3, 3]
3123369123840000*n+129600*p8*p4*p2+3041280*p10*p1^2+52876800*p14+60480*p6*p1^4+
70560*p6^2*p2+960*(-6946824306384+2079732839305*n-218260584295*n^2+85216901959/
8*n^3-4380605219/16*n^4+65831265/16*n^5-632931/16*n^6+3713/16*n^7-5/8*n^8)*p3*
p1+576*(-1084816037340+343400006375/2*n-37538250095/4*n^2+930315895/4*n^3-\
12004135/4*n^4+88695/4*n^5-155/2*n^6)*p5*p1+360*(-1817518750200+900636599261/3*
n-104815027591/6*n^2+469902429*n^3-38831861/6*n^4+138103/3*n^5-135*n^6)*p4*p2+8
*(-210960+4320*n)*p3*p1^5+30*(74425608-3220440*n+50784*n^2-288*n^3)*p2^3*p1^2+
15*(-988320+35968*n-384*n^2)*p2^2*p1^4+240*(4342622256-232459437*n+7643853/2*n^
2-28392*n^3+189/2*n^4)*p6*p1^2+192*(-116508419280+20650584015/2*n-1240393815/4*
n^2+17359485/4*n^3-136485/4*n^4+465/4*n^5)*p5*p3+96*(-245564280+8165160*n-93900
*n^2+360*n^3)*p5*p1^3+90*(18667373544-4042466312/3*n+33176388*n^2-1039360/3*n^3
+1404*n^4)*p4*p2^2+30*(7462848-206272*n+1536*n^2)*p4*p1^4+80*(20346382440-\
2979871569/2*n+161739057/4*n^2-2293005/4*n^3+17847/4*n^4-57/4*n^5)*p3^2*p2+80*(
-647387280+28210374*n-870435/2*n^2+2808*n^3-9/2*n^4)*p3^2*p1^2+160/9*(-14463360
+322380*n-1620*n^2)*p3^3*p1+20*(-46381440+1828464*n-25938*n^2+138*n^3)*p3^2*p2^
2+2880/7*(-48939908220+4025868070*n-106970451*n^2+1214066*n^3-6979*n^4+14*n^5)*
p7*p1+240*(-97230932820+17703331051/2*n-1093031009/4*n^2+14645505/4*n^3-85771/4
*n^4+133/4*n^5)*p6*p2+180*(-1869033960+89033520*n-1270440*n^2+5640*n^3)*p8*p2+
180*(30553560-570240*n+2160*n^2)*p8*p1^2+960/7*(-2219752836+100368198*n-1451541
*n^2+10164*n^3-21*n^4)*p7*p3+480/7*(-564480+8064*n)*p7*p1^3+120*(-2386341720+
97408199*n-2158989/2*n^2+5866*n^3-21/2*n^4)*p6*p4+60*(293023752-11117960*n+
118482*n^2-322*n^3)*p6*p2^2+45*(322844880-11031360*n+113760*n^2-480*n^3)*p4^2*
p2+45*(-2889840+59840*n-320*n^2)*p4^2*p1^2+40*(350731632-12894783*n+359073/2*n^
2-1398*n^3+9/2*n^4)*p4*p3^2+15*(-36181008+1049760*n-7488*n^2)*p4*p2^3+320*(-\
717415380+26482005*n-257895*n^2+990*n^3)*p9*p1+360*(163144460280-54861263183/3*
n+4122799117/6*n^2-11809478*n^3+701153/6*n^4-2044/3*n^5+2*n^6)*p4*p1^2+160*(-\
16949808504+1317769686*n-70590093/2*n^2+478947*n^3-6783/2*n^4+9*n^5)*p3*p1^3+
180*(-27853665984+7609017920/3*n-255233294/3*n^2+1469958*n^3-42220/3*n^4+184/3*
n^5)*p2^2*p1^2+60*(1198010976-70220848*n+1647880*n^2-19168*n^3+96*n^4)*p2*p1^4+
72*(-13543800+378520*n-3120*n^2)*p5*p2^2*p1+45*(1703520-24480*n)*p8*p2^2+48*(
78960-1440*n)*p5*p2*p1^3+40*(76416-1152*n)*p4*p3*p1^3+25200*p6*p4^2+720*(
1560251939904-2040903705797/6*n+103811523605/4*n^2-11177312317/12*n^3+221350921
/12*n^4-910767/4*n^5+5174/3*n^6-19/3*n^7)*p2*p1^2+2880/11*(-2918916+24024*n)*
p11*p1+1440/7*(106555848-3408496*n+33880*n^2-112*n^3)*p7*p2*p1+160*(114147684-\
3177405*n+29043*n^2-126*n^3)*p6*p3*p1+144*(-13739220+274560*n-660*n^2)*p10*p2+
288*(9407301180-610608240*n+13717350*n^2-146750*n^3+700*n^4)*p5*p2*p1+240*(
10449949836-636516851*n+26448389/2*n^2-147185*n^3+1921/2*n^4-3*n^5)*p4*p3*p1+40
*(542520-11592*n+36*n^2)*p3^2*p2*p1^2+20*(1641960-49176*n+432*n^2)*p3*p2^3*p1+
20*(-14064+288*n)*p3*p2^2*p1^3+576/7*(-16851240+252000*n-840*n^2)*p7*p5+45*(
351600-9088*n+64*n^2)*p4*p2^2*p1^2+120*(-3680628+81816*n-420*n^2)*p6*p2*p1^2+
144*(114832740-2922040*n+28260*n^2-120*n^3)*p5*p4*p1+320/3*(-15479640+292545*n-\
1485*n^2)*p9*p3+96*(339346020-13621200*n+190950*n^2-1050*n^3)*p5*p3*p2+96*(-\
3617640+66600*n-180*n^2)*p5*p3*p1^2-3600*p4^2*p3^2+90*(-14845680+200160*n-720*n
^2)*p8*p4+30*(-40080+480*n)*p4^2*p3*p1+20*(-319140+6048*n-36*n^2)*p4*p3^2*p2+
160*(362340-3960*n)*p9*p2*p1+120*(353160-2160*n)*p8*p3*p1+720/7*(273504-3136*n)
*p7*p4*p1+480/7*(2245320-43680*n+168*n^2)*p7*p3*p2+360/7*(-31584+448*n)*p7*p2^2
*p1+96*(291060-2520*n)*p6*p5*p1+60*(1817508-24528*n+84*n^2)*p6*p4*p2+80/3*(
2109240-28917*n+189*n^2)*p6*p3^2+12960*p4*p2^4+10*(-154728+1512*n)*p6*p2^3+144/
5*(2113800-30600*n)*p5^2*p2+480*(269502196776-65491604085/2*n+5651407693/4*n^2-\
119996591/4*n^3+1499869/4*n^4-11079/4*n^5+19/2*n^6)*p3*p2*p1-103680*p5^2*p1^2+
120*(-1403435784+80044664*n-1745194*n^2+19022*n^3-92*n^4)*p3*p2^2*p1+80*(
29951208-1172424*n+16044*n^2-72*n^3)*p3*p2*p1^3+180*(-622813836+28392336*n-\
488332*n^2+4064*n^3-16*n^4)*p4*p2*p1^2+10/3*(37800-648*n)*p3^2*p2^3+48*(2077620
-34560*n+180*n^2)*p5*p4*p3+24*(-279960+4680*n)*p5*p3*p2^2+45/4*(-168960+1920*n)
*p4^2*p2^2-5040*p6*p4*p2^2-10080*p6*p3^2*p2-288000*p3^4-1440*p3^2*p2^2*p1^2-\
8640*p3^2*p1^4-276480*p7*p3*p1^2-259200*p8*p2*p1^2+57600*p3^3*p2*p1+10080*p6*p2
^2*p1^2-1175040*p5*p3^2*p1+11520*p4*p3^2*p1^2+720*p4*p3^2*p2^2+120960*p6*p5*p3-\
25920*p2^4*p1^2-3144960*p11*p3+316800*p9*p3*p2-3931200*p12*p2+30*(6288-96*n)*p4
*p3*p2^2*p1+72*(-34320+480*n)*p5*p4*p2*p1+80*(-53172+504*n)*p6*p3*p2*p1+120*(-\
14561796+445560*n-4932*n^2+24*n^3)*p4*p3*p2*p1-11520*p7*p3*p2^2-17280*p5*p4*p3*
p2-80640*p6*p4*p1^2+95040*p10*p2^2+138240*p7*p5*p2+34560*p5*p3*p2*p1^2-1360800*
p8*p6+161280*p7*p4*p3-660167877078320*n^4+2893297643828320*n^3-5427201321714240
*n^2+75210389933640*n^5-4671640667040*n^6+480*(5248602318960-2265423776889/2*n+
346343464845/4*n^2-24401815529/8*n^3+867030395/16*n^4-7948563/16*n^5+33313/16*n
^6-35/16*n^7)*p6+288*(10046836800-602823595*n+21393405/2*n^2-64790*n^3+165/2*n^
4)*p10+288/5*(-2520138600+107005200*n-1340250*n^2+7050*n^3)*p5^2+15/2*(-\
2613538656+158004000*n-3089952*n^2+20448*n^3)*p2^4+46534040*n^9-349360*n^10+60*
(399516105168-52191370396*n+2463266664*n^2-55082444*n^3+611838*n^4-2838*n^5)*p2
^3+4*(-22003920+809280*n-8640*n^2)*p1^6+360*(-9355555930176+8581267361365/3*n-\
5585040335663/18*n^2+95587401485/6*n^3-3925302619/9*n^4+6751062*n^5-1041491/18*
n^6+1325/6*n^7)*p2^2+120*(-185729643072+27666467212*n-1391283051*n^2+32607116*n
^3-440389*n^4+3428*n^5-12*n^6)*p1^4+1440*(15536587449600-27667430524283/2*n+
49213073373077/12*n^2-39572684041835/72*n^3+5469487182481/144*n^4-209753559823/
144*n^5+4679909641/144*n^6-62210851/144*n^7+236213/72*n^8-34/3*n^9)*p2+1440*(-\
7075414644480+8638107540175/2*n-10647133806817/12*n^2+1989583622353/24*n^3-\
191743188103/48*n^4+5163312355/48*n^5-84395581/48*n^6+902143/48*n^7-253/2*n^8+5
/12*n^9)*p1^2-1900800*p9*p5+240*(93562560-2235870*n+8190*n^2)*p12-1710720*p10*
p4+64800*p8*p3^2+51840*p5^2*p4+720*(21055282859520-8593060054083*n+
22332477862343/18*n^2-83849964153*n^3+106332534415/36*n^4-114294511/2*n^5+
11145341/18*n^6-7097/2*n^7+33/4*n^8)*p4-3579877440*n^8+167215549200*n^7+90*(-\
122439842640+31731980200/3*n-294944340*n^2+10311140/3*n^3-21180*n^4+60*n^5)*p4^
2+360*(387268801920-45442748310*n+1806322305*n^2-30793065*n^3+236355*n^4-645*n^
5)*p8+3/4*(3024000-51840*n)*p2^5+160*(-2019355899552+662645943135/2*n-\
76544517351/4*n^2+4161329085/8*n^3-125669439/16*n^4+1194015/16*n^5-6597/16*n^6+
15/16*n^7)*p3^2+40*(-16151184+191394*n-882*n^2)*p6^2+15/2*(1483200-14400*n)*p4^
3+1200*n^11-829440*p7^2
[5, 4, 4, 3, 2, 2]
-172800*p8*p1^4-58620658728960000*n-207360*p5*p2^3*p1+13440*p6*p2*p1^4+23040*p5
*p3*p1^4-1339545600*p14+17280*p4*p2^3*p1^2-51840*p4*p2^4-1920*p3^2*p2*p1^4+
53760*p3^3*p1^3+120*(1066320-15840*n)*p8*p2*p1^2+960/7*(-25203864+380072*n-1064
*n^2)*p7*p4*p1+640/7*(-27033300+398580*n-420*n^2)*p7*p3*p2+640/7*(1892940-29316
*n+84*n^2)*p7*p3*p1^2+640/3*(-15995430+243540*n)*p9*p2*p1+160*(-26022600+452520
*n-1080*n^2)*p8*p3*p1+32*(-55800+720*n)*p5*p4*p1^3+128/3*(3747960-57915*n+135*n
^2)*p5*p3^2*p1+64*(-40306170+613350*n-1710*n^2)*p5*p4*p3+40*(-55860+504*n)*p6*
p2^2*p1^2+80*(1571598-20874*n+42*n^2)*p6*p4*p1^2+320/9*(-91854+756*n)*p6*p3*p1^
3+128*(-24308970+320355*n-315*n^2)*p6*p5*p1+80*(-25876746+358050*n-210*n^2)*p6*
p4*p2+480/7*(1144976-12768*n)*p7*p2^2*p1+320/7*(-50736+672*n)*p7*p2*p1^3+291840
*p7*p4*p2*p1-15360*p7*p3*p2*p1^2+345600*p8*p3*p2*p1+384*(-214437559470+
46314203785/3*n-366670325*n^2+10726310/3*n^3-13000*n^4)*p5*p2*p1+320*(-\
259303336086+18973778510*n-938404513/2*n^2+5154196*n^3-54969/2*n^4+47*n^5)*p4*
p3*p1+240*(24494178120-1498842928*n+95414848/3*n^2-298484*n^3+3296/3*n^4)*p4*p2
*p1^2+160*(31139556596-1825661218*n+37309566*n^2-329276*n^3+1104*n^4)*p3*p2^2*
p1+320/3*(-2379946944+129929850*n-2593164*n^2+23286*n^3-84*n^4)*p3*p2*p1^3+640*
(-5140799903952+8023791975133/12*n-733196040353/24*n^2+7750077983/12*n^3-\
169841891/24*n^4+40016*n^5-533/6*n^6)*p3*p2*p1+640/3*(-4164289458+162974322*n-\
1875888*n^2+7182*n^3)*p6*p3*p1+160*(274489488-8958082*n+81144*n^2-98*n^3)*p6*p2
*p1^2+192*(-4347990030+159916810*n-1679510*n^2+6640*n^3)*p5*p4*p1+128*(-\
5025841890+170218890*n-1702590*n^2+5100*n^3)*p5*p3*p2+128*(374530710-12979350*n
+141960*n^2-570*n^3)*p5*p3*p1^2+96*(340247060-10070280*n+73800*n^2)*p5*p2^2*p1+
64*(-19288080+562560*n-4320*n^2)*p5*p2*p1^3+160/3*(-27920442+845442*n-8082*n^2+
36*n^3)*p4*p3*p1^3+60*(-26854048+787328*n-6000*n^2)*p4*p2^2*p1^2+20*(1066448-\
29568*n+192*n^2)*p4*p2*p1^4+160/3*(-41687160+1392006*n-14400*n^2+42*n^3)*p3^2*
p2*p1^2+80/3*(-31843980+877824*n-6480*n^2)*p3*p2^3*p1+80/3*(1971756-57168*n+432
*n^2)*p3*p2^2*p1^3+16/3*(-64560+1440*n)*p3*p2*p1^5+1920/7*(-3093643476+
348180868/3*n-1176420*n^2+7280/3*n^3)*p7*p2*p1+40/3*(15732-216*n)*p3^2*p2^2*p1^
2+320/27*(-374220+5184*n)*p3^3*p2*p1+80/3*(3949290-59202*n+90*n^2)*p4*p3^2*p2+
80/3*(-281358+4122*n-18*n^2)*p4*p3^2*p1^2+30*(-153280+2240*n)*p4^2*p2*p1^2+40*(
3697200-59760*n+240*n^2)*p4^2*p3*p1+32*(1953540-27000*n)*p5*p3*p2^2+120*(
297976680-4617000*n+11880*n^2)*p8*p4+960*p4*p3^2*p2*p1^2-19200*p4^2*p3*p2*p1-\
11520*p5*p3^2*p2*p1+80640*p6*p5*p2*p1-1175040*p5^2*p4+60*(-14916240+177120*n)*
p8*p2^2-517440*p6^2*p2+768/7*(302726340-3999240*n+7560*n^2)*p7*p5+3840/11*(
161597436-3321318*n+6006*n^2)*p11*p1+192*(186375090-2975610*n+1650*n^2)*p10*p2+
192*(-12093510+197010*n-330*n^2)*p10*p1^2+1280/9*(285823890-5071275*n+10395*n^2
)*p9*p3+640/9*(591030-5940*n)*p9*p1^3+40/3*(566244-4536*n)*p6*p2^3+320/9*(-\
41364540+611793*n-945*n^2)*p6*p3^2+15*(2262720-30720*n)*p4^2*p2^2+192/5*(-\
23564100+307800*n)*p5^2*p2+192/5*(1427700-19800*n)*p5^2*p1^2+40/9*(-137700+1944
*n)*p3^2*p2^3+160/3*(-6508907628+236841051*n-2687724*n^2+11562*n^3-9*n^4)*p4*p3
^2+20*(362697264-9746208*n+70416*n^2)*p4*p2^3+640/27*(633861720-23136651*n+
268191*n^2-1080*n^3)*p3^3*p1+80/3*(524315880-16291242*n+154098*n^2-360*n^3)*p3^
2*p2^2+80/9*(1832688-42012*n+108*n^2)*p3^2*p1^4+5*(755136-10368*n)*p2^4*p1^2+
3840/7*(1069941262740-302848740985/3*n+18995195555/6*n^2-40413814*n^3+1203265/6
*n^4-623/3*n^5)*p7*p1+320*(1596090824370-555959872993/4*n+30439269049/8*n^2-\
78496691/2*n^3+1223663/8*n^4-301/4*n^5)*p6*p2+320*(-150798048534+46608993851/4*
n-2431227211/8*n^2+6678847/2*n^3-123053/8*n^4+35/4*n^5)*p6*p1^2+256*(
1990224347130-696729378005/4*n+38586718965/8*n^2-104727635/2*n^3+2130675/8*n^4-\
1785/4*n^5)*p5*p3+128*(17854015950-1129201935*n+24404205*n^2-231870*n^3+960*n^4
)*p5*p1^3+120*(-286071784668+18671700444*n-389342236*n^2+3406592*n^3-11560*n^4)
*p4*p2^2+40*(-1714207548+88440116*n-1579364*n^2+12624*n^3-48*n^4)*p4*p1^4+320/3
*(-329928629220+89362596897/4*n-4027427013/8*n^2+10220931/2*n^3-192459/8*n^4+
129/4*n^5)*p3^2*p2+320/3*(28806748212-7389448995/4*n+341593839/8*n^2-939099/2*n
^3+20001/8*n^4-15/4*n^5)*p3^2*p1^2+1280/3*(21506813460-1066052130*n+14802480*n^
2-53130*n^3)*p9*p1+240*(29524254480-1259930760*n+13672440*n^2-33600*n^3)*p8*p2+
240*(-2256559200+92171400*n-1063440*n^2+3720*n^3)*p8*p1^2+1280/7*(39591110664-\
1736990234*n+20435268*n^2-79156*n^3+42*n^4)*p7*p3+640/7*(191229948-6185172*n+
55188*n^2-168*n^3)*p7*p1^3+160*(43456215600-1809763347*n+18948300*n^2-73374*n^3
+21*n^4)*p6*p4+80*(-3759694596+117565938*n-931602*n^2+840*n^3)*p6*p2^2+80/3*(-\
11521860+270396*n-1260*n^2)*p6*p1^4+32/5*(366000-7200*n)*p5*p1^5+60*(-\
5146169040+171167040*n-1751840*n^2+5840*n^3)*p4^2*p2+60*(372273360-12210880*n+
128160*n^2-560*n^3)*p4^2*p1^2-7680*p4*p3^3*p1-2880*p4*p3^2*p2^2+115200*p5*p4^2*
p1-2822400*p6*p5*p3+20160*p6*p4*p2^2+73920*p6*p3^2*p2-6720*p6*p3^2*p1^2+138240*
p5^2*p3*p1-3655680*p7*p6*p1-1751040*p7*p5*p2+92160*p7*p5*p1^2-4392960*p7*p4*p3+
261120*p7*p3^2*p1+46080*p7*p3*p2^2-4193280*p11*p2*p1-7603200*p10*p3*p1+126720*
p10*p2*p1^2-4646400*p9*p4*p1-3168000*p9*p3*p2+211200*p9*p3*p1^2-3110400*p8*p5*
p1-2937600*p8*p4*p2+86400*p8*p4*p1^2+32/3*(133008720-5883420*n+85620*n^2-360*n^
3)*p3*p1^5+40*(-2525666448+125897352*n-2118240*n^2+12240*n^3)*p2^3*p1^2+20*(
157008968-7237872*n+113664*n^2-576*n^3)*p2^2*p1^4+8/3*(-5979120+246720*n-2880*n
^2)*p2*p1^6+768*(19601253049980-39893407677985/12*n+1580587031795/8*n^2-\
21206198205/4*n^3+1659441395/24*n^4-1310930/3*n^5+6325/6*n^6)*p5*p1+480*(
29257156967640-4781146414704*n+1595163817835/6*n^2-12775616043/2*n^3+427744769/
6*n^4-799047/2*n^5+2725/3*n^6)*p4*p2+480*(-3727219106760+504884893602*n-\
146324255297/6*n^2+3297675743/6*n^3-12762193/2*n^4+232111/6*n^5-275/3*n^6)*p4*
p1^2+640/3*(571266349200-253607886041/4*n+20632041069/8*n^2-205077457/4*n^3+
4471647/8*n^4-6549/2*n^5+15/2*n^6)*p3*p1^3+240*(685799170656-72633355360*n+
8341949143/3*n^2-50882208*n^3+1428371/3*n^4-1886*n^5)*p2^2*p1^2+80*(-\
66482613648+18146832448/3*n-205136348*n^2+10339940/3*n^3-30160*n^4+112*n^5)*p2*
p1^4+1280*(111194801683344-414405321279487/12*n+22705753428647/6*n^2-\
3087757737153/16*n^3+81266825963/16*n^4-3505612673/48*n^5+28669867/48*n^6-2612*
n^7+55/12*n^8)*p3*p1+960*(-27737117297280+6604003729696*n-10160279632115/18*n^2
+828949626847/36*n^3-9079091807/18*n^4+227691133/36*n^5-404179/9*n^6+1285/9*n^7
)*p2*p1^2+102145827303755520*n^2-34560*p2^3*p1^4+84534965968320*n^6-\
12662982298027840/9*n^5-2804823602560*n^7+155846569760/3*n^8+28769600/9*n^10-\
540504320*n^9-80000/9*n^11-11520*p5*p4*p3*p1^2+230400*p5*p4*p3*p2-6720*p6*p4*p2
*p1^2+403200*p6*p4*p3*p1+46080*p5*p3^3+48000*p4^3*p2+49795200*p12*p2+109670400*
p13*p1+320/3*(2367918-34020*n)*p6*p3*p2*p1+320*(-1714199760+40171950*n-73710*n^
2)*p12+112329818980262560/9*n^4-164043129280182080/3*n^3+160/3*(308068488-\
3814650*n+4410*n^2)*p6^2+80*(-6263556224544+769181677968*n-31981766781*n^2+
585269016*n^3-5239905*n^4+20070*n^5)*p2^3+384*(-176340364200+10457874295*n-\
166603140*n^2+610610*n^3-165*n^4)*p10+384/5*(44743916700-1820024850*n+17708850*
n^2-63600*n^3)*p5^2+16/3*(5371675920-398994540*n+10930860*n^2-140160*n^3+720*n^
4)*p1^6+960*(-318383019601920+261834926419101/2*n-226583159590037/12*n^2+
14997844942925/12*n^3-165535124821/4*n^4+2090433662/3*n^5-11803745/2*n^6+306701
/12*n^7-275/6*n^8)*p4+1920*(-225126294019200+404223570838401/2*n-\
4337957832287327/72*n^2+3473480446379597/432*n^3-25995726690101/48*n^4+
931923959983/48*n^5-18112837933/48*n^6+144846691/36*n^7-868487/36*n^8+1825/27*n
^9)*p2+(-11016000+155520*n)*p2^5+120*(2105033556840-182474539180*n+4945692430*n
^2-51862440*n^3+271130*n^4-500*n^5)*p4^2+10*(31586588688-1571122080*n+25117344*
n^2-141696*n^3)*p2^4+640/3*(32823541163808-5381806723774*n+2411748715859/8*n^2-\
118273539677/16*n^3+1400893795/16*n^4-9148101/16*n^5+29719/16*n^6-15/8*n^7)*p3^
2+480*(143943493381632-88158905280633/2*n+18768501305877/4*n^2-681064831859/3*n
^3+21846043505/4*n^4-410084269/6*n^5+931541/2*n^6-4325/3*n^7)*p2^2+160*(
4445951732352-5127504192689/6*n+729664683469/12*n^2-2141641964*n^3+507155063/12
*n^4-2981443/6*n^5+3353*n^6-10*n^7)*p1^4+1920*(105635142748800-133014655923789/
2*n+1026844158446239/72*n^2-67786094792105/48*n^3+10549498482613/144*n^4-\
307511038027/144*n^5+5297267425/144*n^6-27915413/72*n^7+86795/36*n^8-125/18*n^9
)*p1^2+40*(-203712+2880*n)*p4*p3*p2^2*p1+64*(-164820+2520*n)*p5*p3*p2*p1^2+96*(
2092640-30000*n)*p5*p4*p2*p1+80/3*(10296-144*n)*p4*p3*p2*p1^3+39283200*p9*p5+
37497600*p8*p6-380160*p10*p2^2+79672320*p11*p3+160*(477371342-16171858*n+170322
*n^2-548*n^3)*p4*p3*p2*p1-2620800*p12*p1^2+105600*p4^2*p3^2+47040*p6^2*p1^2-\
1612800*p6*p4^2-2332800*p8*p3^2+59811840*p10*p4+21012480*p7^2+160/81*(5676480-\
77760*n)*p3^4+10*(-41018400+636000*n-2400*n^2)*p4^3+480*(-6476754604320+
757098662265*n-57713465385/2*n^2+425489310*n^3-4409055/2*n^4+2925*n^5)*p8+640*(
-83404103622840+18054636266688*n-10873967232891/8*n^2+723003172857/16*n^3-\
11043285071/16*n^4+73692689/16*n^5-193291/16*n^6+35/8*n^7)*p6
[5, 4, 4, 2, 2, 2, 2]
460800*p4^2*p3*p2*p1+384000*p4^3*p1^2-1292800*p4^2*p3^2-1152000*p4^3*p2+
1159309044940800000*n+102400*p4*p3^3*p1-51200*p4^2*p3*p1^3+34560*p4*p3^2*p2^2-\
23040*p4*p3^2*p2*p1^2+1280*p4*p3^2*p1^4+35721216000*p14+2560*(58509360-953640*n
+1080*n^2)*p8*p3*p1+5120/27*(492210-6480*n)*p3^3*p2*p1+640/3*(-27324+324*n)*p3^
2*p2^2*p1^2+640/9*(5148-54*n)*p3^2*p2*p1^4+640*(100044-756*n)*p6*p2^2*p1^2+640/
3*(-16044+126*n)*p6*p2*p1^4+1024*(61233400-886680*n+1530*n^2)*p5*p4*p3+512*(
1000780-15480*n)*p5*p4*p1^3+2048/3*(-7543110+110295*n-135*n^2)*p5*p3^2*p1+512*(
-2364120+29970*n)*p5*p3*p2^2+512/3*(-89160+1350*n)*p5*p3*p1^4+5120/9*(844074-\
13356*n)*p6*p3*p1^3+1280*(-8523564+131838*n-42*n^2)*p6*p4*p1^2+15360/7*(
67735920-1060696*n+1064*n^2)*p7*p4*p1+10240/7*(33259520-460992*n+252*n^2)*p7*p3
*p2+10240/7*(-7456064+122108*n-84*n^2)*p7*p3*p1^2+7680/7*(-1765848+18144*n)*p7*
p2^2*p1+5120/7*(343112-3864*n)*p7*p2*p1^3+2048*(67547970-912555*n+315*n^2)*p6*
p5*p1+1280*(39194820-525420*n+126*n^2)*p6*p4*p2+1920*(-3990960+49680*n)*p8*p2*
p1^2+10240/3*(36048870-487080*n)*p9*p2*p1+2048*(7383180860-466733985/2*n+
2096370*n^2-8955/2*n^3)*p5*p3*p2+2048*(-1191147020+89821135/2*n-451755*n^2+1995
/2*n^3)*p5*p3*p1^2+1536*(-708432420+19743210*n-137700*n^2)*p5*p2^2*p1+2560/3*(
151092776-5560952*n+56922*n^2-118*n^3)*p4*p3*p1^3+960*(82192116-2313744*n+16848
*n^2)*p4*p2^2*p1^2+320*(-11402196+346816*n-2568*n^2)*p4*p2*p1^4+2560/3*(
112023120-7239903/2*n+32391*n^2-99/2*n^3)*p3^2*p2*p1^2+1280/3*(49621140-1292922
*n+8748*n^2)*p3*p2^3*p1+1280/3*(-7714308+216972*n-1512*n^2)*p3*p2^2*p1^3+256/3*
(982500-28590*n+180*n^2)*p3*p2*p1^5+640*(-9142680+141920*n-240*n^2)*p4^2*p3*p1+
480*(679200-9600*n)*p4^2*p2*p1^2+1280/3*(-4425780+61884*n-54*n^2)*p4*p3^2*p2+
1280/3*(1081788-16566*n+18*n^2)*p4*p3^2*p1^2+128/3*(9300-120*n)*p4*p3*p1^5+
161280*p6*p4*p2*p1^2+276480*p5*p3^2*p2*p1+1566720*p5*p4*p3*p1^2-4700160*p5*p4*
p3*p2-14479360*p6*p4*p3*p1+6144*(394912650600-59916073775/2*n+718762360*n^2-\
12571655/2*n^3+18585*n^4)*p5*p2*p1+5120*(476081132280-219381447991/6*n+
5434643069/6*n^2-52652609/6*n^3+219487/6*n^4-44*n^5)*p4*p3*p1+3840*(-\
59899364936+4059290836*n-89929834*n^2+767926*n^3-2234*n^4)*p4*p2*p1^2+2560*(-\
58748474628+6830761789/2*n-64203165*n^2+983619/2*n^3-1233*n^4)*p3*p2^2*p1+5120/
3*(8069632144-986641547/2*n+10128180*n^2-163975/2*n^3+207*n^4)*p3*p2*p1^3+10240
*(8220856474758-6720767186153/6*n+635181906011/12*n^2-6624472963/6*n^3+
129968641/12*n^4-51479*n^5+86*n^6)*p3*p2*p1+30720/7*(6557594064-248898874*n+
2211496*n^2-2674*n^3)*p7*p2*p1+10240/3*(8756528382-347015438*n+3477327*n^2-8449
*n^3)*p6*p3*p1+2560*(-872643324+60040323/2*n-239547*n^2+231/2*n^3)*p6*p2*p1^2+
3072*(9669573720-382023010*n+3825410*n^2-10170*n^3)*p5*p4*p1+61440/11*(-\
396936540+8702694*n-6006*n^2)*p11*p1+3072*(-281827700+4134900*n-990*n^2)*p10*p2
+3072*(52851260-1066670*n+330*n^2)*p10*p1^2+20480/9*(-418374000+6676560*n-8910*
n^2)*p9*p3+512/7*(-45080+560*n)*p7*p1^5+960*(19105200-210600*n)*p8*p2^2+320*(
624240-9720*n)*p8*p1^4+12288/7*(-506423400+6759060*n-6720*n^2)*p7*p5+10240/9*(-\
6271650+112860*n)*p9*p1^3+1920*(-491110800+7585200*n-11160*n^2)*p8*p4+240*(-\
3175200+41760*n)*p4^2*p2^2+80*(-113760+1760*n)*p4^2*p1^4+33638400*p8*p3^2-\
3010560*p6^2*p1^2+9031680*p6^2*p2+52254720*p5^2*p4+3072/5*(39456900-500850*n)*
p5^2*p2+3072/5*(-8427300+119700*n)*p5^2*p1^2+640/3*(-501228+3402*n)*p6*p2^3-\
996710400*p8*p6+5120/9*(50707440-695016*n+756*n^2)*p6*p3^2-7741440*p5^2*p3*p1-\
11059200*p5*p4^2*p1-30720*p5*p3^2*p1^3+778240*p7*p4*p1^3-5324800*p7*p3^2*p1-\
552960*p7*p3*p2^2-20480*p7*p3*p1^4+71393280*p6*p5*p3+215040*p6*p5*p1^3-241920*
p6*p4*p2^2-8960*p6*p4*p1^4-1290240*p6*p3^2*p2+430080*p6*p3^2*p1^2-21427200*p8*
p4*p1^2+921600*p8*p3*p1^3+129024000*p7*p6*p1+35389440*p7*p5*p2-11796480*p7*p5*
p1^2+77004800*p7*p4*p3+64281600*p8*p4*p2+207360000*p8*p5*p1-20275200*p9*p3*p1^2
+1280*(187836572592-124421062979/6*n+2523646979/3*n^2-95336473/6*n^3+426379/3*n
^4-484*n^5)*p2*p1^4+640*(6452830608-325360494*n+5175576*n^2-27756*n^3)*p2^3*p1^
2+12288*(-29746368854370+10549273510745/2*n-3942268157345/12*n^2+54751458305/6*
n^3-1397316355/12*n^4+1870115/3*n^5-1250*n^6)*p5*p1+7680*(-41483750423320+
13634092833801/2*n-751355690533/2*n^2+17356940015/2*n^3-175771395/2*n^4+432188*
n^5-832*n^6)*p4*p2+7680*(6530299626040-1939149119413/2*n+309810208301/6*n^2-\
7541908877/6*n^3+87395573/6*n^4-227264/3*n^5+445/3*n^6)*p4*p1^2+10240/3*(-\
1225227161526+937240401701/6*n-87304381439/12*n^2+1899482093/12*n^3-20282927/12
*n^4+33395/4*n^5-85/6*n^6)*p3*p1^3+3840*(-1315427881696+305594008041/2*n-\
6287524558*n^2+232757879/2*n^3-1007030*n^4+3492*n^5)*p2^2*p1^2+320*(-837929040+
43318400*n-717384*n^2+3804*n^3)*p2^2*p1^4+128/3*(100511440-5101110*n+81480*n^2-\
360*n^3)*p2*p1^6+61440/7*(-1848437136000+185169790911*n-18282487370/3*n^2+
228392626/3*n^3-850990/3*n^4+581/3*n^5)*p7*p1+5120*(-2376847053420+205560412470
*n-21686875707/4*n^2+50027922*n^3-636069/4*n^4+42*n^5)*p6*p2+5120*(331285774596
-28933763775*n+3365230435/4*n^2-37503865/4*n^3+124229/4*n^4-35/4*n^5)*p6*p1^2+
4096*(-2959199042400+769495109555/3*n-27157776825/4*n^2+193604695/3*n^3-1068255
/4*n^4+330*n^5)*p5*p3+2048*(-54327333780+25085307295/6*n-107964105*n^2+6446645/
6*n^3-3195*n^4)*p5*p1^3+640*(8070885744-1661176718/3*n+38691646/3*n^2-353362/3*
n^3+998/3*n^4)*p4*p1^4+5120/3*(488211574660-31510161602*n+2560260927/4*n^2-\
5604652*n^3+82521/4*n^4-18*n^5)*p3^2*p2+512/3*(-1052701660+129585885/2*n-\
1363715*n^2+22175/2*n^3-25*n^4)*p3*p1^5+1280/3*(119513268-8900437/2*n+40488*n^2
-35/2*n^3)*p6*p1^4+960*(7965282360-258003240*n+2437920*n^2-6120*n^3)*p4^2*p2+
2560/3*(9397368740-630117821/2*n+6203127/2*n^2-19315/2*n^3+9/2*n^4)*p4*p3^2+320
*(-496819332+12834720*n-88776*n^2)*p4*p2^3+64/3*(1334180-39840*n+240*n^2)*p4*p1
^6+1280/9*(-16583568+1172649/2*n-5544*n^2+15/2*n^3)*p3^2*p1^4+80*(-1311552+
15552*n)*p2^4*p1^2+160/3*(123552-1296*n)*p2^3*p1^4+20480/3*(-43750051290+
2324937450*n-32454675*n^2+71115*n^3)*p9*p1+20480/7*(-60328922640+7593500537/3*n
-25631823*n^2+212275/3*n^3-21*n^4)*p7*p3+2560*(-68219490360+5645598441/2*n-\
54847947/2*n^2+156807/2*n^3-21/2*n^4)*p6*p4+1280*(5590770948-326933397/2*n+
1178730*n^2-1071/2*n^3)*p6*p2^2+5120/81*(-115830+1620*n)*p3^3*p1^3+640/9*(
121500-1458*n)*p3^2*p2^3-1687381334021120*n^6+254736902096473600/9*n^5+17920*p6
*p1^6+4976640*p5*p2^3*p1-552960*p5*p2^2*p1^3+54572019717120*n^7-2862097984000/3
*n^8+622080*p4*p2^4-414720*p4*p2^3*p1^2+23040*p4*p2^2*p1^4-142376960/3*n^10+
26873367040/3*n^9-2560*p3^2*p1^6+1049600/9*n^11+1024*(105005000-3305280*n+24480
*n^2)*p5*p2*p1^3+3840*(6665827080-317952150*n+3980700*n^2-6990*n^3)*p8*p1^2+
10240/7*(-939730848+119617526/3*n-434196*n^2+1582/3*n^3)*p7*p1^3+1280/3*(-\
639611520+37134153/2*n-154386*n^2+459/2*n^3)*p3^2*p2^2+256/63*(-102900+2520*n)*
p3*p1^7-8294400*p8*p3*p2*p1+3840*(-45403347720+1878544890*n-18286200*n^2+31230*
n^3)*p8*p2+512/5*(-13403900+438350*n-3300*n^2)*p5*p1^5+960*(-1285354840+
49316440*n-516960*n^2+1320*n^3)*p4^2*p1^2+10240/27*(-1194254370+40744530*n-\
398385*n^2+1035*n^3)*p3^3*p1+640*(316116-4104*n)*p4*p3*p2^2*p1+5120/3*(-\
68666077204+4764204419*n-444140071/4*n^2+4262021/4*n^3-16505/4*n^4+15/4*n^5)*p3
^2*p1^2+1920*(430369239360-27388278330*n+536489142*n^2-4254858*n^3+12174*n^4)*
p4*p2^2+15360*(41321081187504-10457520620033*n+1921731797901/2*n^2-168958719077
/4*n^3+975610964*n^4-145669805/12*n^5+158531/2*n^6-670/3*n^7)*p2*p1^2+1280/3*(-\
64140+864*n)*p4*p3*p2*p1^3+20480*(-153447952712760+49104364290799*n-\
400731301637759/72*n^2+42266220712939/144*n^3-567323468867/72*n^4+7931031059/72
*n^5-57424337/72*n^6+426271/144*n^7-95/24*n^8)*p3*p1-427622400*p7^2+5120/3*(-\
4150734+56448*n)*p6*p3*p2*p1+1024*(512280-7020*n)*p5*p3*p2*p1^2+1536*(-5213460+
71280*n)*p5*p4*p2*p1+290611200*p9*p4*p1+60825600*p9*p3*p2-1378713600*p9*p5-\
1935360*p6*p5*p2*p1-3041280*p10*p2*p1^2+259522560*p10*p3*p1+368640*p7*p3*p2*p1^
2-1006387200*p12*p2-5264179200*p13*p1-7004160*p7*p4*p2*p1+100638720*p11*p2*p1+
2560*(-972634728+31444690*n-292686*n^2+606*n^3)*p4*p3*p2*p1+49190400*p6*p4^2-\
614400*p5*p3^3+160*(-46133694576+2151246384*n-32059152*n^2+166536*n^3)*p2^4+
10240/3*(-46491961337160+22949432909179/3*n-10129854233771/24*n^2+469793737097/
48*n^3-608195453/6*n^4+4443871/8*n^5-33713/24*n^6+15/16*n^7)*p3^2+1280*(
9073276823232-2219197108149/2*n+44819243013*n^2-1532035935/2*n^3+6244137*n^4-\
21168*n^5)*p2^3+2560*(-7861354315056+1713019637672*n-2540629083857/18*n^2+
104413172603/18*n^3-2352829319/18*n^4+29715149/18*n^5-100024/9*n^6+280/9*n^7)*
p1^4+30720*(285742595224800-1553784125967611/6*n+1870553113794349/24*n^2-\
1506778129277893/144*n^3+16872581474095/24*n^4-197769188425/8*n^5+3654091175/8*
n^6-70742009/16*n^7+572527/24*n^8-533/9*n^9)*p2+30720*(-137319268312800+
532332679445003/6*n-472608993379549/24*n^2+880558732823371/432*n^3-\
4015961285615/36*n^4+27479254739/8*n^5-4407150349/72*n^6+91174493/144*n^7-\
131903/36*n^8+1025/108*n^9)*p1^2+160*(71820000-1094400*n+2400*n^2)*p4^3+16*(
9720000-116640*n)*p2^5+6144/5*(-70511569800+5756879625/2*n-26780250*n^2+146475/
2*n^3)*p5^2+10240*(115592563686600-25227474298775*n+15181269429305/8*n^2-\
989246905815/16*n^3+884897545*n^4-39942763/8*n^5+86303/8*n^6-35/16*n^7)*p6+6144
*(270621351000-95726125495/6*n+482956155/2*n^2-3730265/6*n^3+165/2*n^4)*p10+256
/3*(-26117381040+16376044535/6*n-106936090*n^2+11857165/6*n^3-17030*n^4+50*n^5)
*p1^6-752106854992161280/3*n^4+3276343725650867200/3*n^3-6082175042870374400/3*
n^2+7680*(9453705861600-1107399470500*n+41548114635*n^2-573709100*n^3+2349885*n
^4-2280*n^5)*p8+1920*(-3147334716400+272528842900*n-7200196140*n^2+68682420*n^3
-301500*n^4+440*n^5)*p4^2-46080*p2^2*p1^6+2560/81*(-5086800+64800*n)*p3^4+2560/
3*(-506867760+6174000*n-3528*n^2)*p6^2+5120*(2751184800-63554400*n+65520*n^2)*
p12+32/21*(-11003440+521920*n-6720*n^2)*p1^8+7680*(-193866338674800+
60045953898710*n-12833674772039/2*n^2+614191081537/2*n^3-14203312867/2*n^4+
81662392*n^5-501903*n^6+2747/2*n^7)*p2^2+15360*(420496058127600-174754516707630
*n+25377769120095*n^2-20113707030523/12*n^3+217463816359/4*n^4-1726875719/2*n^5
+19367873/3*n^6-294083/12*n^7+451/12*n^8)*p4+335462400*p12*p1^2-1565491200*p11*
p3-11182080*p11*p1^3-1726771200*p10*p4+4561920*p10*p2^2+168960*p10*p1^4
[5, 4, 3, 3, 3, 2]
-58678527098880000*n-1506988800*p14+216*(101219880-1954260*n+10260*n^2)*p5*p3*
p1^2+162*(316733860-12108360*n+172000*n^2-1000*n^3)*p5*p2^2*p1+45*(571382760-\
21697752*n+307944*n^2-1824*n^3)*p3^2*p2^2+90*(-14342400+314496*n-1728*n^2)*p3^2
*p2*p1^2+45*(-45035560+1666780*n-22860*n^2+128*n^3)*p3*p2^3*p1+45*(881016-18072
*n+72*n^2)*p3*p2^2*p1^3+135/16*(3051072-93184*n+768*n^2)*p2^4*p1^2+45/8*(-42112
+768*n)*p2^3*p1^4+108*(-6252360+109080*n-360*n^2)*p5*p2*p1^3+90*(-4258500+66240
*n-288*n^2)*p4*p3*p1^3+49183200*p9*p5+405/4*(-20317728+627184*n-6896*n^2+32*n^3
)*p4*p2^2*p1^2-5559840*p10*p2^2+720*(10611680640-955073955/2*n+28083825/4*n^2-\
101805/2*n^3+495/4*n^4)*p9*p1+405*(22231978320-1137637200*n+19161540*n^2-126600
*n^3+180*n^4)*p8*p2+405*(-787738320+23233560*n-199080*n^2+720*n^3)*p8*p1^2+135/
4*(227968-3072*n)*p4*p2*p1^4+2160/7*(24248504784-1064685678*n+14910987*n^2-\
107982*n^3+273*n^4)*p7*p3+1080/7*(40387032-596736*n+2016*n^2)*p7*p1^3+270*(
27292122480-3522219358/3*n+15675919*n^2-322658/3*n^3+273*n^4)*p6*p4+135*(-\
3985761920+174335560*n-2527560*n^2+13664*n^3)*p6*p2^2+45*(-1247344+11424*n)*p6*
p1^4+141523200*p12*p2+61689600*p13*p1+3240/7*(-1923230848+78843968*n-1176014*n^
2+8092*n^3-14*n^4)*p7*p2*p1+360*(-1833600454+117647495/2*n-2751273/4*n^2+9541/2
*n^3-63/4*n^4)*p6*p3*p1+270*(130277952-3877132*n+38052*n^2-168*n^3)*p6*p2*p1^2+
324*(-2034098470+67628560*n-883315*n^2+6070*n^3-15*n^4)*p5*p4*p1+216*(-\
4015193520+159234135*n-4542555/2*n^2+15165*n^3-45/2*n^4)*p5*p3*p2+180*(-\
221173534200+16402970994*n-450332109*n^2+6523650*n^3-53859*n^4+204*n^5)*p3^2*p2
+180*(11013075312-541262472*n+9222480*n^2-74784*n^3+216*n^4)*p3^2*p1^2+405/4*(-\
4247101360+500444720/3*n-2327480*n^2+48880/3*n^3-40*n^4)*p4^2*p2+405/4*(
118432880-3108880*n+33680*n^2-160*n^3)*p4^2*p1^2+90*(-3726326028+125659344*n-\
1681092*n^2+12264*n^3-36*n^4)*p4*p3^2+135/4*(614688480-70653568/3*n+307360*n^2-\
4544/3*n^3)*p4*p2^3+40*(208554480-4733640*n+29160*n^2)*p3^3*p1+1080*(-\
2935204240936+770878546159/2*n-37140504411/2*n^2+3684645133/8*n^3-56202427/8*n^
4+550223/8*n^5-3193/8*n^6+n^7)*p3*p2*p1+270*(20933132116-1380386696*n+36355537*
n^2-518586*n^3+4095*n^4-14*n^5)*p3*p2^2*p1+180*(-854204424+37436838*n-602367*n^
2+4338*n^3-9*n^4)*p3*p2*p1^3+233280*p5*p1^5+405*(11826282688-696432656*n+
47903830/3*n^2-194760*n^3+3950/3*n^4-4*n^5)*p4*p2*p1^2+540*(-133063655446+
9012788515*n-436286471/2*n^2+11555699/4*n^3-94841/4*n^4+473/4*n^5-1/4*n^6)*p4*
p3*p1+135/2*(-382286224+12172544*n-146080*n^2+768*n^3)*p4*p1^4+648*(-\
124044530260+9263941075*n-515800275/2*n^2+3779980*n^3-62225/2*n^4+115*n^5)*p5*
p2*p1+405/8*(-62400+640*n)*p4^2*p2*p1^2+360*(245208850488-46173353265/2*n+
3063207183/4*n^2-49850799/4*n^3+227055/2*n^4-2079/4*n^5+3/4*n^6)*p3*p1^3+45*(
3297600-52704*n+288*n^2)*p4*p3^2*p2+405*(370602245408-39764121720*n+4980987290/
3*n^2-113711032/3*n^3+1601582/3*n^4-13664/3*n^5+56/3*n^6)*p2^2*p1^2+135*(-\
24954015616+1919795432*n-55840796*n^2+846832*n^3-6932*n^4+24*n^5)*p2*p1^4+135/8
*(9792-128*n)*p4*p2^3*p1^2+2160*(64579912930784-240889400698987/12*n+
106341129401149/48*n^2-464903951543/4*n^3+213290102255/64*n^4-5634820153/96*n^5
+66678997/96*n^6-264353/48*n^7+1671/64*n^8-5/96*n^9)*p3*p1+810*(17798586593520-\
9139036171448/3*n+1683808783675/9*n^2-16679237705/3*n^3+832301779/9*n^4-2737237
/3*n^5+45178/9*n^6-34/3*n^7)*p4*p2+810*(-1903134092400+721607028796/3*n-\
32376328846/3*n^2+477107609/2*n^3-6321595/2*n^4+160331/6*n^5-835/6*n^6+1/3*n^7)
*p4*p1^2+18*(15988800-322200*n+1080*n^2)*p3*p1^5+135/2*(-1861304256+110657448*n
-7956424/3*n^2+32208*n^3-512/3*n^4)*p2^3*p1^2+135/4*(62361568-2443168*n+34912*n
^2-192*n^3)*p2^2*p1^4+9/2*(-947520+17280*n)*p2*p1^6+360*(-11889900+214830*n-990
*n^2)*p9*p2*p1+1296*(11078352484920-22315207018465/12*n+2657976064265/24*n^2-\
9447193355/3*n^3+404069625/8*n^4-1020735/2*n^5+18715/6*n^6-35/4*n^7)*p5*p1+270*
(-8233560+84780*n-540*n^2)*p8*p3*p1+405/2*(470880-2880*n)*p8*p2*p1^2+6480/7*(
575481500020-156655961350/3*n+4903285156/3*n^2-147674989/6*n^3+426167/2*n^4-\
1897/2*n^5+7/6*n^6)*p7*p1+540*(1036631765400-297292212245/3*n+6701885085/2*n^2-\
161876113/3*n^3+888979/2*n^4-1526*n^5)*p6*p2+540*(-66609651528+4435900035*n-\
605263127/6*n^2+1122072*n^3-40873/6*n^4+21*n^5)*p6*p1^2+432*(1210155876210-\
435554772465/4*n+26558330175/8*n^2-382494915/8*n^3+1602945/4*n^4-13995/8*n^5+15
/8*n^6)*p5*p3+1620/7*(-10273984+152432*n-784*n^2)*p7*p4*p1+216*(5878229220-\
271043970*n+4017255*n^2-26370*n^3+45*n^4)*p5*p1^3+405/2*(-215754107680+
17046954784*n-1494002392/3*n^2+21512416/3*n^3-160688/3*n^4+488/3*n^5)*p4*p2^2+
324*(-2728440+11440*n)*p10*p1^2+240*(166536810-2675970*n+14850*n^2)*p9*p3+405/2
*(191272560-2984400*n+15120*n^2)*p8*p4+45/8*(32160-576*n)*p3*p2^4*p1+405/4*(-\
29394720+545760*n-1440*n^2)*p8*p2^2+1451520*p3^2*p1^4+4989600*p9*p1^3+1296/7*(
200231220-2816520*n+14280*n^2)*p7*p5+1080/7*(-26814480+459816*n-2184*n^2)*p7*p3
*p2+810/7*(1901536-34384*n+112*n^2)*p7*p2^2*p1-1399680*p5^2*p4+216*(-9679390+
112770*n-630*n^2)*p6*p5*p1+60*(-19478340+236376*n-1512*n^2)*p6*p3^2+135*(-\
28881160+463848*n-2184*n^2)*p6*p4*p2+135*(344232-2576*n)*p6*p4*p1^2+135/2*(-\
73584+672*n)*p6*p2^2*p1^2+108*(-22331130+324360*n-1800*n^2)*p5*p4*p3+1620*(-\
15520075183872+10889839771214/3*n-612882143319/2*n^2+153073998833/12*n^3-\
3726901723/12*n^4+59842405/12*n^5-654475/12*n^6+2297/6*n^7-4/3*n^8)*p2*p1^2+54*
(3898140-65340*n+180*n^2)*p5*p3*p2^2+27*(-263440+4320*n)*p5*p2^3*p1+135/2*(
1211880-18840*n+120*n^2)*p4^2*p3*p1-5400*p4^2*p2^3+15/2*(-505440+8064*n)*p3^2*
p2^3+64800*p4^2*p3^2+45/2*(3942288-60480*n)*p6*p2^3+324/5*(-29307000+451800*n-\
1800*n^2)*p5^2*p2+173880*p6*p4*p3*p1-22680*p6*p3*p2^2*p1+1080*p4*p3*p2^3*p1-\
16200*p4^2*p3*p2*p1-19440*p5*p4*p2^2*p1+15396480*p5^2*p1^2+405/16*(3980160-\
71360*n+320*n^2)*p4^2*p2^2+116640*p5^2*p2^2-38880*p3*p2*p1^5+6480/11*(68904836-\
1159158*n+6006*n^2)*p11*p1+324*(187701800-4135560*n+17160*n^2)*p10*p2+51477120*
p5*p3^2*p1+155520*p3^2*p2^2*p1^2+97200*p5*p4^2*p1-6480*p5*p3*p2^3+294840*p6*p4*
p2^2+181440*p6*p3^2*p2-5287680*p7*p5*p2+356400*p9*p2^2*p1-1749600*p8*p5*p1-\
6123600*p8*p4*p2-7128000*p9*p3*p2-7076160*p11*p2*p1-1853280*p10*p3*p1-3207600*
p9*p4*p1+5184000*p3^4+135/32*(-426112+6912*n)*p4*p2^4-3395520*p7*p4*p3-2116800*
p7*p6*p1-12960*p4*p3^2*p2^2-2332800*p3^3*p2*p1-1114560*p4*p3^2*p1^2+38880*p5*p2
^2*p1^3-2160*p3*p2^3*p1^3+33955200*p7*p3*p1^2-622080*p7*p2*p1^3-257040*p6*p3*p1
^3-311040*p5*p4*p1^3+63685440*p11*p3+51840*p4*p3*p2*p1^3+135/2*(-242592+4392*n-\
24*n^2)*p4*p3*p2^2*p1+162*(1660000-25800*n+120*n^2)*p5*p4*p2*p1+180*(1447068-\
20286*n+126*n^2)*p6*p3*p2*p1+270*(285812716-9832372*n+135615*n^2-1022*n^3+3*n^4
)*p4*p3*p2*p1-8640*p7*p2^3*p1+291600*p8*p3*p2*p1-2404080*p6*p5*p3+44226000*p8*
p6+362880*p7*p4*p2*p1+272160*p6*p5*p2*p1+63011520*p10*p4+388800*p5*p4*p3*p2+
102575595206472480*n^2-1776600*p6*p4^2-2540160*p6^2*p2+97200*p8*p2^3-4432320*p5
*p3*p2*p1^2+81000*p4^3*p2-1166400*p8*p3^2+336960*p7*p3*p2^2+23016960*p7^2+
12842826086926500*n^4-55334683689889740*n^3+87364436310*n^8-3663506366190*n^7+
648/5*(28291752300-1208215350*n+15857175*n^2-106050*n^3+225*n^4)*p5^2+27/16*(-\
80936000+2643840*n-23040*n^2)*p2^5+810*(-3916502029440+472711616650*n-\
19645298235*n^2+368022515*n^3-3457590*n^4+14595*n^5-15*n^6)*p8+405/2*(
1285372987280-115227402120*n+3478717420*n^2-147225230/3*n^3+1202930/3*n^4-5530/
3*n^5+10/3*n^6)*p4^2+1080*(-49670482942080+11000536087765*n-15652534600955/18*n
^2+193938893071/6*n^3-5724519178/9*n^4+42552755/6*n^5-775313/18*n^6+112*n^7)*p6
+270*(2158468213376-1118797033726/3*n+68997950005/3*n^2-2065756739/3*n^3+
11760468*n^4-123539*n^5+2255/3*n^6-2*n^7)*p1^4+9*(1083140160-48278160*n+759600*
n^2-4320*n^3)*p1^6+1620*(-188476983152640+235678158847733/3*n-419204688338437/
36*n^2+1631101793581/2*n^3-4380819238505/144*n^4+47062013609/72*n^5-617975797/
72*n^6+2486641/36*n^7-44953/144*n^8+41/72*n^9)*p4+810*(85774402257280-\
80949451910558/3*n+3040440044128*n^2-2982942632693/18*n^3+90817809155/18*n^4-\
1700539595/18*n^5+20310077/18*n^6-73798/9*n^7+256/9*n^8)*p2^2+14384325*n^10-\
1374447765*n^9+3240*(-133273356410880+361179093905051/3*n-2620966756870465/72*n
^2+5006084315849*n^3-11483916019223/32*n^4+233809308129/16*n^5-52278357563/144*
n^6+140244799/24*n^7-5943829/96*n^8+19583/48*n^9-47/36*n^10)*p2+300*n^12-94140*
n^11+96402416420085*n^6-1498035418962165*n^5+540*(-1100473920+26863200*n-131040
*n^2)*p12+648*(-109412503200+20232190550/3*n-128823695*n^2+2915770/3*n^3-2145*n
^4)*p10+90*(201131280-2638944*n+14112*n^2)*p6^2+135/8*(-25130400+415200*n-2400*
n^2)*p4^3+3240*(61967855738880-38914319828585*n+599085311551961/72*n^2-\
29655960389461/36*n^3+12475397773927/288*n^4-23992053203/18*n^5+1267029331/48*n
^6-6542483/18*n^7+1011247/288*n^8-265/12*n^9+5/72*n^10)*p1^2+360*(
19627276317168-6598141255779/2*n+781350501681/4*n^2-21876067635/4*n^3+85734702*
n^4-3413355/4*n^5+20919/4*n^6-15*n^7)*p3^2+135/8*(35003833536-7530089504/3*n+
67633760*n^2-2590336/3*n^3+4608*n^4)*p2^4+135*(-4137609432480+574462991136*n-\
270399507286/9*n^2+2422424396/3*n^3-112346458/9*n^4+331540/3*n^5-4048/9*n^6)*p2
^3
[5, 4, 3, 3, 2, 2, 2]
1160260816896000000*n-17280*p3*p1^7+40186368000*p14+120*(455040000-15019896*n+
157914*n^2-522*n^3)*p3*p2^3*p1+120*(-36224176+1160588*n-12138*n^2+46*n^3)*p3*p2
^2*p1^3+24*(1608240-34320*n+120*n^2)*p3*p2*p1^5+240*(286243132-8778827*n+195663
/2*n^2-598*n^3+3/2*n^4)*p4*p3*p1^3+270*(387330752-40417184/3*n+156456*n^2-2008/
3*n^3)*p4*p2^2*p1^2+90*(-24000144+707680*n-6992*n^2+32*n^3)*p4*p2*p1^4+432*(-\
3626155240+132790140*n-1575370*n^2+6730*n^3)*p5*p2^2*p1+288*(281018140-9489240*
n+110540*n^2-530*n^3)*p5*p2*p1^3+240*(396000240-13329912*n+154212*n^2-696*n^3)*
p3^2*p2*p1^2+240*(37279867840-1293798580*n+15491766*n^2-81488*n^3+102*n^4)*p4*
p3^2+90*(-4160530224+141655440*n-1582104*n^2+6168*n^3)*p4*p2^3+6*(568000-7680*n
)*p4*p1^6+320/3*(-4015233180+136840104*n-1613304*n^2+7560*n^3)*p3^3*p1+120*(-\
4341946720+145499176*n-1636248*n^2+6680*n^3)*p3^2*p2^2+40*(-21519648+481824*n-\
2304*n^2)*p3^2*p1^4+720*(-229362859456+15273011343*n-2258899901/6*n^2+9045075/2
*n^3-159139/6*n^4+103/2*n^5)*p3*p2^2*p1+480*(21447405360-2614634753/2*n+
121817975/4*n^2-1439435/4*n^3+8657/4*n^4-19/4*n^5)*p3*p2*p1^3+45/2*(-43108224+
1314432*n-10368*n^2)*p2^4*p1^2+15*(2903328-82848*n+576*n^2)*p2^3*p1^4+1080*(-\
183605904328+12672620314*n-966897503/3*n^2+12225425/3*n^3-79501/3*n^4+205/3*n^5
)*p4*p2*p1^2+144/5*(-11668800+207600*n-600*n^2)*p5*p1^5+270*(35958101760-\
1302031320*n+15824780*n^2-86560*n^3+140*n^4)*p4^2*p2+1728*(1367962286420-\
108484805370*n+36336459905/12*n^2-39641770*n^3+3118975/12*n^4-680*n^5)*p5*p2*p1
+270*(-3176062880+333028360/3*n-1377140*n^2+26000/3*n^3-20*n^4)*p4^2*p1^2+1440*
(1566762165340-120208572540*n+19210809053/6*n^2-162331759/4*n^3+3354317/12*n^4-\
3617/4*n^5+3/4*n^6)*p4*p3*p1-12960*p4*p3*p2^3*p1+669600*p4^2*p3*p2*p1-25920*p5*
p3*p2^2*p1^2+414720*p5*p3^2*p2*p1-7948800*p5*p4*p3*p2+540*(1799553578800-\
396579668912/3*n+10172897972/3*n^2-123960974/3*n^3+760792/3*n^4-1790/3*n^5)*p4*
p2^2+518400*p5*p4*p3*p1^2+596160*p5*p4*p2^2*p1-17280*p5*p4*p2*p1^3-20160*p6*p3*
p2*p1^3-11491200*p6*p4*p3*p1+786240*p6*p4*p2*p1^2+423360*p6*p3*p2^2*p1+1440*(
976112689608-81777340960*n+2415347732*n^2-33343366*n^3+237958*n^4-700*n^5)*p6*
p1^2-12337920*p6*p5*p2*p1+898560*p7*p3*p2*p1^2-15966720*p7*p4*p2*p1+576*(
34498275220-1261810300*n+60373985/4*n^2-75295*n^3+315/4*n^4)*p5*p3*p2+864*(
30259189060-1169326995*n+28635595/2*n^2-83860*n^3+315/2*n^4)*p5*p4*p1+8640/7*(
24435163508-1047743634*n+14202041*n^2-70504*n^3+49*n^4)*p7*p2*p1+15*(-177120+
2592*n)*p3*p2^4*p1+60*(-247056+3168*n)*p3^2*p2^2*p1^2+45*(-217248+3168*n)*p4*p2
^3*p1^2+960*(28143819144-1119674745*n+28154343/2*n^2-76629*n^3+189/2*n^4)*p6*p3
*p1+720*(-2803674888+107120132*n-1358952*n^2+6412*n^3)*p6*p2*p1^2+576*(-\
3059805540+108121020*n-5274195/4*n^2+7560*n^3-45/4*n^4)*p5*p3*p1^2+576*(
202478220-2802135*n+10395*n^2)*p6*p5*p1+360*(227640000-3402084*n+10836*n^2)*p6*
p4*p2+360*(-17901072+252756*n-1092*n^2)*p6*p4*p1^2+160*(1217916-12411*n+63*n^2)
*p6*p3*p1^3+1152*(-10852962766200+978652140890*n-114848799185/4*n^2+2894798675/
8*n^3-19369585/8*n^4+60605/8*n^5-45/8*n^6)*p5*p3+180*(2054304-28896*n)*p6*p2^2*
p1^2+60*(-81648+672*n)*p6*p2*p1^4+288*(232948400-3374880*n+12900*n^2)*p5*p4*p3+
144*(1269380-15600*n+60*n^2)*p5*p4*p1^3+192*(-23803560+330480*n-1080*n^2)*p5*p3
^2*p1+144*(-24631640+364620*n-720*n^2)*p5*p3*p2^2+72*(2268360-32400*n)*p5*p2^3*
p1+72*(-162560+2280*n)*p5*p2^2*p1^3+180*(-25016640+379000*n-1800*n^2)*p4^2*p3*
p1+135*(2370400-38080*n+160*n^2)*p4^2*p2*p1^2+120*(-26959200+388704*n-960*n^2)*
p4*p3^2*p2+1440*(-9000630232440+835948605548*n-25946759384*n^2+352199218*n^3-\
2323594*n^4+6132*n^5)*p6*p2+120*(2163408-28224*n+144*n^2)*p4*p3^2*p1^2+45/2*(
10560-128*n)*p4*p2^2*p1^4+160/3*(2758320-33696*n)*p3^3*p2*p1+3*(-97600+1920*n)*
p2^2*p1^6+20*(16056-216*n)*p3*p2^3*p1^3+960*(172246140-3142755*n+8415*n^2)*p9*
p2*p1+720*(186203880-2977200*n+10800*n^2)*p8*p3*p1+540*(-17007840+285120*n-720*
n^2)*p8*p2*p1^2+4320/7*(199161760-2999136*n+12544*n^2)*p7*p4*p1+2880/7*(
215467560-3261692*n+8540*n^2)*p7*p3*p2+2880/7*(-17240664+250572*n-1092*n^2)*p7*
p3*p1^2+2160/7*(-21606256+330960*n-448*n^2)*p7*p2^2*p1+1440/7*(1391544-20384*n+
56*n^2)*p7*p2*p1^3+2880*(28329640530896-3928361643786*n+2366064256109/12*n^2-\
116068389971/24*n^3+3205899307/48*n^4-25991339/48*n^5+37115/16*n^6-53/16*n^7)*
p3*p2*p1+17280/7*(-6157185398700+614808181358*n-21139224232*n^2+648184131/2*n^3
-4788189/2*n^4+14693/2*n^5-7/2*n^6)*p7*p1-276480*p7*p1^5+4320*(140425396836672-\
105655544585437/3*n+29117132621713/9*n^2-5280367415819/36*n^3+11301696524/3*n^4
-2157937565/36*n^5+7360009/12*n^6-34271/9*n^7+401/36*n^8)*p2*p1^2+180*(
16041308992-937287340*n+59832886/3*n^2-216172*n^3+3950/3*n^4-4*n^5)*p4*p1^4+480
*(1946213213400-139342278892*n+6941286663/2*n^2-41981578*n^3+528029/2*n^4-668*n
^5)*p3^2*p2+480*(-196602765144+13181186310*n-647571795/2*n^2+4020351*n^3-53637/
2*n^4+75*n^5)*p3^2*p1^2+48*(-1570339680+74132040*n-1212585*n^2+8280*n^3-15*n^4)
*p3*p1^5+180*(25935888048-1613027656*n+38153136*n^2-428528*n^3+1992*n^4)*p2^3*
p1^2+90*(-2197789312+122967184*n-7994872/3*n^2+27880*n^3-368/3*n^4)*p2^2*p1^4+
12*(135682560-5792800*n+86800*n^2-480*n^3)*p2*p1^6+3456*(-102067639118760+
18116186684140*n-4593991452185/4*n^2+411203895155/12*n^3-25946174485/48*n^4+
230112865/48*n^5-1090415/48*n^6+705/16*n^7)*p5*p1+2160*(-150058370980880+
76751898294230/3*n-4563159629827/3*n^2+41444082289*n^3-7073594323/12*n^4+
57839699/12*n^5-257305/12*n^6+449/12*n^7)*p4*p2+2160*(20895154523280-\
9061487039204/3*n+1434979266725/9*n^2-8220219525/2*n^3+2130265379/36*n^4-\
6078485/12*n^5+85553/36*n^6-53/12*n^7)*p4*p1^2+960*(-3535493998392+425843527694
*n-38372386229/2*n^2+876408979/2*n^3-93559119/16*n^4+755811/16*n^5-3305/16*n^6+
5/16*n^7)*p3*p1^3+1080*(-4289062301792+1521186222104/3*n-204153312398/9*n^2+
1566882808/3*n^3-62849024/9*n^4+53412*n^5-1670/9*n^6)*p2^2*p1^2+360*(
487932174272-50539955666*n+6055846231/3*n^2-127198591/3*n^3+527209*n^4-11411/3*
n^5+38/3*n^6)*p2*p1^4+5760*(-537001738208160+172442801178935*n-19761813563547*n
^2+3228213996721/3*n^3-1510211127709/48*n^4+51577037419/96*n^5-5707407*n^6+
597825/16*n^7-6371/48*n^8+5/32*n^9)*p3*p1+576*(-135361252560+19039768855/2*n-\
480951885/2*n^2+11925345/4*n^3-40565/2*n^4+245/4*n^5)*p5*p1^3+1440*p4*p3*p2^2*
p1^3-34560*p4*p3^2*p2*p1^2+120*(-180804+2544*n-12*n^2)*p4*p3*p2*p1^3+1920*(-\
140474553120+7412483430*n-119454885*n^2+698445*n^3-990*n^4)*p9*p1+180*(2743992-\
42056*n+96*n^2)*p4*p3*p2^2*p1+1080*(-191854864320+9123419280*n-129599490*n^2+
654120*n^3-630*n^4)*p8*p2+1080*(17695676160-793195440*n+11259270*n^2-66000*n^3+
90*n^4)*p8*p1^2+5760/7*(-230485527720+10173521680*n-129566213*n^2+689864*n^3-\
931*n^4)*p7*p3-1872000*p4^2*p3^2+2880/7*(-1938113436+71166802*n-847007*n^2+4844
*n^3-7*n^4)*p7*p1^3-15940800*p8*p3*p2*p1+132480*p4*p3^2*p2^2+20*(2375280-32832*
n)*p3^2*p2^3-2234880*p3^3*p1^3+135/2*(-26657280+422080*n-1280*n^2)*p4^2*p2^2-\
1949875200*p11*p3+45/2*(-70080+640*n)*p4^2*p1^4+720*(-3910229916+138848315*n-\
3393097/2*n^2+8836*n^3-21/2*n^4)*p4*p3*p2*p1+864/5*(227079800-3315000*n+10800*n
^2)*p5^2*p2+864/5*(-17754600+243000*n-900*n^2)*p5^2*p1^2+160*(224758800-3140676
*n+8820*n^2)*p6*p3^2+60*(-21820176+302400*n)*p6*p2^3+17280/11*(-1228166940+
26690664*n-96096*n^2)*p11*p1+864*(-1521091000+29460860*n-82940*n^2)*p10*p2+864*
(123775080-2256540*n+8580*n^2)*p10*p1^2+640*(-1703809800+28362510*n-94050*n^2)*
p9*p3+320*(-9971280+131175*n-495*n^2)*p9*p1^3+540*(-1866849600+28316160*n-\
108000*n^2)*p8*p4+270*(196505760-3149280*n+5760*n^2)*p8*p2^2+90*(540000-2880*n)
*p8*p1^4+3456/7*(-1952987400+26707660*n-98980*n^2)*p7*p5-9504000*p9*p3*p1^2-\
8553600*p9*p2^2*p1+316800*p9*p2*p1^3+120*(173845728-4808076*n+40740*n^2-168*n^3
)*p6*p1^4+432*(-24481320+379960*n-1320*n^2)*p5*p4*p2*p1+288*(2212080-32580*n+90
*n^2)*p5*p3*p2*p1^2+480*(-23382828+346479*n-819*n^2)*p6*p3*p2*p1+45/4*(2133504-\
31104*n)*p4*p2^4+720*(-256503715440+10945526984*n-130614834*n^2+722428*n^3-1218
*n^4)*p6*p4+360*(30773020656-1192532012*n+14445900*n^2-61600*n^3)*p6*p2^2+
104785920*p7*p5*p2-7050240*p7*p5*p1^2+96537600*p7*p4*p3+161280*p7*p4*p1^3-\
6082560*p7*p3^2*p1-3962880*p7*p3*p2^2+103680*p7*p2^3*p1+311351040*p11*p2*p1+
222393600*p10*p3*p1-14826240*p10*p2*p1^2+188179200*p9*p4*p1+129888000*p9*p3*p2-\
11520*p7*p2^2*p1^3+77414400*p6*p5*p3+120960*p6*p5*p1^3-4294080*p6*p4*p2^2-\
3064320*p6*p3^2*p2+241920*p6*p3^2*p1^2+151632000*p8*p5*p1+124804800*p8*p4*p2-\
8164800*p8*p4*p1^2+129600*p8*p3*p1^3+388800*p8*p2^2*p1^2+148055040*p7*p6*p1+
23040*p4*p3*p1^5-2592000*p5*p3*p1^4+34560*p5*p2*p1^5+184320*p3^2*p2*p1^4-2880*
p3*p2^2*p1^5-7200*p4^2*p3*p1^3-21600*p4^2*p2^2*p1^2+138240*p4*p3^3*p1+77760*p5*
p3*p2^3-5572800*p5*p4^2*p1-4665600*p5^2*p3*p1+311040*p5^2*p2*p1^2-\
1869720263338800*n^6+29756493355949760*n^5-167651760*n^10+19222160160*n^9+
1102883196080745600*n^3-256603416125660160*n^4-2400*n^12+910320*n^11-613785600*
p7^2+9/2*(444024000-13193280*n+103680*n^2)*p2^5+2160*(34220506320000-\
4136676499080*n+167113410690*n^2-2830370175*n^3+21281025*n^4-66345*n^5+45*n^6)*
p8+540*(-11504060009600+3092503271800/3*n-89456156920/3*n^2+1105853110/3*n^3-\
7539650/3*n^4+25930/3*n^5-10*n^6)*p4^2+80/9*(-26334720+311040*n)*p3^4+45*(-\
257708342592+16416308160*n-383110608*n^2+4193808*n^3-19008*n^4)*p2^4-\
2034493038038131200*n^2+3/7*(-4099200+80640*n)*p1^8+2880*(412645763930400-\
91979622335244*n+7214863999014*n^2-514923985499/2*n^3+4556728386*n^4-41850739*n
^5+199248*n^6-791/2*n^7)*p6+960*(-166888054152960+28241538467000*n-\
1652189537721*n^2+175044820911/4*n^3-601855341*n^4+9809565/2*n^5-22632*n^6+175/
4*n^7)*p3^2+360*(34476476815584-4599516261634*n+220320441561*n^2-5146335985*n^3
+67440703*n^4-501721*n^5+1700*n^6)*p2^3+1728*(1004887884000-61609936960*n+
1090159785*n^2-6297720*n^3+9295*n^4)*p10+2160*(-691198188266880+655742267851868
/3*n-219342749078830/9*n^2+22917422713621/18*n^3-1268747239565/36*n^4+
20403069509/36*n^5-204555095/36*n^6+1238465/36*n^7-889/9*n^8)*p2^2+1728/5*(-\
265304117400+11173246200*n-257584225/2*n^2+707150*n^3-2475/2*n^4)*p5^2+240*(-\
1987251840+26086032*n-91728*n^2)*p6^2+1440*(10581480000-254829120*n+873600*n^2)
*p12+720*(-24324664121088+5031412054730*n-1179335659600/3*n^2+15649530235*n^3-\
4369660021/12*n^4+64637131/12*n^5-207403/4*n^6+3641/12*n^7-5/6*n^8)*p1^4+8640*(
-484336935129600+312548872851326*n-416055942133103/6*n^2+129666214654855/18*n^3
-1604805465377/4*n^4+1878390123691/144*n^5-9556824517/36*n^6+32160475/9*n^7-\
2316365/72*n^8+25997/144*n^9-35/72*n^10)*p1^2+79073280*p10*p2^2-1326758400*p9*
p5-1166400*p8*p2^3-1219276800*p8*p6+49248000*p8*p3^2-829440*p5*p3^3+39087360*p5
^2*p4-2021760*p5^2*p2^2+64800*p4^2*p2^3-1620000*p4^3*p2+108000*p4^3*p1^2-\
1434859807680*n^8+67083898826160*n^7+45*(242337600-3669600*n+16800*n^2)*p4^3+
4320*(1493653499520000-1884498402786400/3*n+840258107672380/9*n^2-\
116203552313761/18*n^3+2071539976640/9*n^4-321474861085/72*n^5+1781414417/36*n^
6-5871577/18*n^7+42943/36*n^8-41/24*n^9)*p4+24*(-48481337280+4162269680*n-\
133293910*n^2+2114260*n^3-17450*n^4+60*n^5)*p1^6+8640*(1015116474355200-\
924787792731050*n+563178731365881/2*n^2-696891456222671/18*n^3+32743359018913/
12*n^4-15220726621483/144*n^5+170662472387/72*n^6-1173405679/36*n^7+20784581/72
*n^8-75947/48*n^9+151/36*n^10)*p2+44150400*p6*p4^2-4441651200*p13*p1-2704665600
*p12*p2+188697600*p12*p1^2-3144960*p11*p1^3-1655596800*p10*p4+47416320*p6^2*p2-\
3386880*p6^2*p1^2
[5, 4, 3, 2, 2, 2, 2, 2]
-24110277643468800000*n-3840*p3*p2*p1^7-1125218304000*p14+520704000*p7*p4*p2*p1
+478656000*p8*p3*p2*p1+7200*(64052448-1048680*n+1800*n^2)*p8*p2*p1^2+57600/7*(-\
577426472+8713712*n-25760*n^2)*p7*p4*p1+38400/7*(-403797240+5721296*n-10976*n^2
)*p7*p3*p2+38400/7*(74198600-1149064*n+2632*n^2)*p7*p3*p1^2+28800/7*(52072580-\
739788*n+588*n^2)*p7*p2^2*p1+19200/7*(-8242164+124796*n-140*n^2)*p7*p2*p1^3+
7680*(-596883294+8487129*n-26145*n^2)*p6*p5*p1+12800*(-452500092+7899507*n-\
16335*n^2)*p9*p2*p1+9600*(-519768180+8177400*n-19800*n^2)*p8*p3*p1+160*(-120210
+1446*n-6*n^2)*p4*p3*p1^5+600*(639648-8640*n)*p4*p2^3*p1^2+300*(-93872+1248*n)*
p4*p2^2*p1^4+1800*(-8946800+138320*n-400*n^2)*p4^2*p2*p1^2+2400*(69852220-\
1022900*n+2900*n^2)*p4^2*p3*p1+1920*(43880880-602217*n+945*n^2)*p5*p3*p2^2+640*
(1143600-16245*n+45*n^2)*p5*p3*p1^4+960*(-5188860+68040*n)*p5*p2^3*p1+960*(
831900-11160*n)*p5*p2^2*p1^3+192*(-92920+1200*n)*p5*p2*p1^5+2560*(64592400-\
897660*n+1980*n^2)*p5*p3^2*p1+2400*(-6834660+92232*n)*p6*p2^2*p1^2+800*(933492-\
12768*n)*p6*p2*p1^4+23040*p5*p1^7+3840*(-463800120+6480411*n-18531*n^2)*p5*p4*
p3+1920*(-10632750+164730*n-570*n^2)*p5*p4*p1^3+4800*(-441384132+6324108*n-\
16716*n^2)*p6*p4*p2+4800*(81491844-1247484*n+3780*n^2)*p6*p4*p1^2+6400/3*(-\
9691038+144963*n-315*n^2)*p6*p3*p1^3-57600*p4*p3*p2^2*p1^3+1920*p4*p3*p2*p1^5+
1075200*p4*p3^2*p2*p1^2+259200*p4*p3*p2^3*p1-17952000*p4^2*p3*p2*p1+1036800*p5*
p3*p2^2*p1^2-57600*p5*p3*p2*p1^4-12902400*p5*p3^2*p2*p1+2304000*p5*p4*p2*p1^3+
184942080*p5*p4*p3*p2-42624000*p5*p4*p3*p1^2-19180800*p5*p4*p2^2*p1-11491200*p6
*p3*p2^2*p1+1478400*p6*p3*p2*p1^3+435590400*p6*p4*p3*p1-41529600*p6*p4*p2*p1^2+
476582400*p6*p5*p2*p1-34867200*p7*p3*p2*p1^2+23040*(-2999470461028+
2974644977603/12*n-55664355845/8*n^2+511038155/6*n^3-3957363/8*n^4+4345/4*n^5)*
p5*p2*p1+19200*(-3467012641838+1118306594005/4*n-181410115175/24*n^2+1070874973
/12*n^3-12857071/24*n^4+4190/3*n^5-3/4*n^6)*p4*p3*p1+14400*(496616702616-\
111345438179/3*n+5848151219/6*n^2-11637018*n^3+398173/6*n^4-415/3*n^5)*p4*p2*p1
^2+9600*(517121779212-416972290435/12*n+6577269165/8*n^2-54023719/6*n^3+360187/
8*n^4-249/4*n^5)*p3*p2^2*p1+6400*(-74685802656+20421076455/4*n-1007142051/8*n^2
+2868165/2*n^3-59093/8*n^4+43/4*n^5)*p3*p2*p1^3+38400*(-55443315654640+
96188799249841/12*n-14949264309073/36*n^2+487765517551/48*n^3-19022847397/144*n
^4+46367167/48*n^5-508663/144*n^6+29/8*n^7)*p3*p2*p1+11520*(-77167327580+
9376808156/3*n-36259406*n^2+537352/3*n^3-270*n^4)*p5*p4*p1+7680*(-66641967420+
2341423284*n-25731728*n^2+108734*n^3-90*n^4)*p5*p3*p2+7680*(10549392880-\
410622191*n+9691187/2*n^2-22025*n^3+45/2*n^4)*p5*p3*p1^2+5760*(8785770810-\
312212913*n+3417513*n^2-12360*n^3)*p5*p2^2*p1+3840*(-1300196298+48579843*n-\
558545*n^2+2150*n^3)*p5*p2*p1^3+3200*(-1464012330+54085865*n-635160*n^2+2890*n^
3-3*n^4)*p4*p3*p1^3+3600*(-1230665108+42165580*n-450652*n^2+1576*n^3)*p4*p2^2*
p1^2+1200*(169798876-17704156/3*n+64348*n^2-728/3*n^3)*p4*p2*p1^4+3200*(-\
1302482720+43913846*n-461358*n^2+1576*n^3)*p3^2*p2*p1^2+1600*(-1036864500+
32116158*n-296460*n^2+702*n^3)*p3*p2^3*p1+1600*(155510460-5025456*n+47568*n^2-\
120*n^3)*p3*p2^2*p1^3+320*(-19414880+608764*n-5418*n^2+14*n^3)*p3*p2*p1^5+
115200/7*(-59832308452+7809870754/3*n-32950274*n^2+410564/3*n^3-56*n^4)*p7*p2*
p1+12800*(-70860782916+5837335637/2*n-137526081/4*n^2+307783/2*n^3-567/4*n^4)*
p6*p3*p1+9600*(9136312416-368702740*n+4441584*n^2-17444*n^3)*p6*p2*p1^2+200*(
314280-3888*n)*p3*p2^4*p1+800/3*(-54324+648*n)*p3*p2^3*p1^3+80*(7260-72*n)*p3*
p2^2*p1^5+6400/9*(-6054480+73440*n)*p3^3*p2*p1+800*(681312-8352*n)*p3^2*p2^2*p1
^2+800/3*(-104904+1152*n)*p3^2*p2*p1^4+40*(8496-96*n)*p4*p2*p1^6+1600*(47090880
-633096*n+1032*n^2)*p4*p3^2*p2+1600*(-9185304+129288*n-264*n^2)*p4*p3^2*p1^2+
12800/3*(70697880-1357785*n+3465*n^2)*p9*p1^3+7200*(3819644640-56374632*n+
165672*n^2)*p8*p4+3600*(-365797440+5447304*n-7560*n^2)*p8*p2^2+153600*p3^2*p1^6
+230400/11*(3388116732-77519442*n+210210*n^2)*p11*p1+35170329600*p8*p6+900*(
48104400-707280*n+1680*n^2)*p4^2*p2^2+300*(1267120-19280*n+80*n^2)*p4^2*p1^4+
160/3*(-67284+504*n)*p6*p1^6+2304*(-449526840+6397650*n-18450*n^2)*p5^2*p2+2304
*(82781440-1236450*n+4050*n^2)*p5^2*p1^2+6400/3*(-429224040+5770044*n-12348*n^2
)*p6*p3^2+800*(38850084-498960*n)*p6*p2^3+1200*(-8748000+144360*n-360*n^2)*p8*
p1^4+46080/7*(4032592200-54876178*n+166978*n^2)*p7*p5+1920/7*(903980-11788*n+28
*n^2)*p7*p1^5+11520*(2976994020-54694640*n+125840*n^2)*p10*p2+11520*(-509088580
+10856560*n-28600*n^2)*p10*p1^2+25600/3*(3400329240-53916687*n+135927*n^2)*p9*
p3+20/7*(-125888+2688*n)*p2*p1^8+230400/7*(12870820762884-8121838066517/6*n+
581485311589/12*n^2-1469139511/2*n^3+57463721/12*n^4-36785/3*n^5+7/2*n^6)*p7*p1
+19200*(16748651682252-1553898154109*n+93931876283/2*n^2-592168437*n^3+6973393/
2*n^4-7924*n^5)*p6*p2+19200*(-2456919095148+227651248741*n-14689922695/2*n^2+
103589486*n^3-1310813/2*n^4+1575*n^5)*p6*p1^2+15360*(20267493210720-\
1831908606858*n+210155558461/4*n^2-4903450081/8*n^3+29103953/8*n^4-76935/8*n^5+
45/8*n^6)*p5*p3+7680*(434009726160-143153590739/4*n+8364345679/8*n^2-27446749/2
*n^3+673305/8*n^4-775/4*n^5)*p5*p1^3+7200*(-3388093163136+244843065235*n-\
11962479555/2*n^2+67038318*n^3-728445/2*n^4+719*n^5)*p4*p2^2+2400*(-70197665888
+5185928543*n-827673749/6*n^2+5080714/3*n^3-59899/6*n^4+65/3*n^5)*p4*p1^4+6400*
(-3674866401960+258831984161*n-12229757951/2*n^2+67330194*n^3-729957/2*n^4+719*
n^5)*p3^2*p2+6400*(539338577536-39608534277*n+2035866131/2*n^2-11954728*n^3+
136745/2*n^4-145*n^5)*p3^2*p1^2+640*(10165994680-2700025477/4*n+130396737/8*n^2
-363229/2*n^3+7303/8*n^4-5/4*n^5)*p3*p1^5+3600*(11116118360-431664800*n+5178760
*n^2-26080*n^3+40*n^4)*p4^2*p1^2+3200*(-72790935504+2427328774*n-26390934*n^2+
114176*n^3-96*n^4)*p4*p3^2+1200*(7707523716-247745916*n+2516436*n^2-8280*n^3)*
p4*p2^3+80*(-18780540+574932*n-5316*n^2+24*n^3)*p4*p1^6+12800/9*(10159878960-\
340793820*n+3648780*n^2-13680*n^3)*p3^3*p1+1600*(7991410920-251074542*n+2503950
*n^2-8016*n^3)*p3^2*p2^2+1600/3*(182514984-6280446*n+66942*n^2-240*n^3)*p3^2*p1
^4+320/21*(1737120-40446*n+126*n^2)*p3*p1^7+25600*(335546871660-37515260013/2*n
+1216207773/4*n^2-2953731/2*n^3+6435/4*n^4)*p9*p1+14400*(370874053368-\
17276968128*n+228397296*n^2-991008*n^3+720*n^4)*p8*p2+14400*(-55713653880+
2830501752*n-42727452*n^2+201960*n^3-180*n^4)*p8*p1^2+76800/7*(450188026848-\
19589998190*n+231002849*n^2-1036742*n^3+1043*n^4)*p7*p3+38400/7*(8717438436-\
399309666*n+5511800*n^2-25060*n^3+14*n^4)*p7*p1^3+9600*(504354716208-\
21402058174*n+239679279*n^2-1147202*n^3+1617*n^4)*p6*p4+4800*(-58761982104+
2180764488*n-24371256*n^2+90048*n^3)*p6*p2^2+1600*(-1260825048+51380896*n-\
636216*n^2+2744*n^3)*p6*p1^4+384*(164416750-5865435*n+64315*n^2-280*n^3)*p5*p1^
5+3600*(-70022665944+2446126880*n-27362000*n^2+127120*n^3-160*n^4)*p4^2*p2+150*
(-3524256+46656*n)*p4*p2^4+6400/27*(1088640-12960*n)*p3^3*p1^3+800/3*(-3584520+
44064*n)*p3^2*p2^3-3072000*p4*p3^3*p1-2188800*p4*p3^2*p2^2-38400*p4*p3^2*p1^4+
1344000*p4^2*p3*p1^3+864000*p4^2*p2^2*p1^2-48000*p4^2*p2*p1^4+921600*p5*p3^2*p1
^3-1555200*p5*p3*p2^3+68275200*p6*p3^2*p2-15590400*p6*p3^2*p1^2-13440*p6*p3*p1^
5+221184000*p5^2*p3*p1-20736000*p5^2*p2*p1^2+252864000*p5*p4^2*p1-11520*p5*p4*
p1^5+557568000*p7*p5*p1^2+57600*(-257760661440384+1021175676910567/15*n-\
39830338526531/6*n^2+5748187933451/18*n^3-307394883227/36*n^4+24407342801/180*n
^5-47488697/36*n^6+269929/36*n^7-349/18*n^8)*p2*p1^2+2400*(-71118026160+
4522667580*n-103761984*n^2+1075164*n^3-4392*n^4)*p2^3*p1^2+1200*(9925835904-\
1882675072/3*n+14487768*n^2-452264/3*n^3+608*n^4)*p2^2*p1^4+160*(-1270696608+
75876724*n-1641320*n^2+15660*n^3-56*n^4)*p2*p1^6+46080*(191064106698780-\
423465039101779/12*n+83906618428043/36*n^2-1145147252567/16*n^3+160399930355/
144*n^4-434403317/48*n^5+5442305/144*n^6-495/8*n^7)*p5*p1+28800*(
265985501958456-1372444119271739/30*n+10840019626823/4*n^2-860913726895/12*n^3+
5716328963/6*n^4-424752277/60*n^5+333581/12*n^6-245/6*n^7)*p4*p2+28800*(-\
43908478536440+13704798761729/2*n-1568194763195/4*n^2+129168188495/12*n^3-\
468459491/3*n^4+4960951/4*n^5-61147/12*n^6+47/6*n^7)*p4*p1^2+12800*(
8713320183024-4716192612215/4*n+358952988745/6*n^2-23965436127/16*n^3+982803065
/48*n^4-2496923/16*n^5+28127/48*n^6-5/8*n^7)*p3*p1^3+300*(123655536-3573504*n+
25920*n^2)*p2^4*p1^2+200*(-16785528+492624*n-3456*n^2)*p2^3*p1^4+40*(1815240-\
50208*n+288*n^2)*p2^2*p1^6+42432602480442086400*n^2+39468583364596800*n^6-\
1892561068154319040/3*n^5+28427380435840*n^8-1389082149307520*n^7-353667411520*
n^9+600*(-491862000+7078800*n-22800*n^2)*p4^3+28800*(-62457312677760+
7601913537738*n-304574929755*n^2+4931205189*n^3-32879112*n^4+88065*n^5-45*n^6)*
p8+3200/27*(44582400-518400*n)*p3^4+38400*(-716005431020880+806448958528731/5*n
-76175508234077/6*n^2+447426501130*n^3-45396035825/6*n^4+315078624/5*n^5-798217
/3*n^6+455*n^7)*p6-6977664000*p8*p5*p1+23040*(-1931014285200+118408900610*n-\
2022608445*n^2+9999990*n^3-12155*n^4)*p10+57600*(-2476327386274560+
1053249485689702*n-28426224906818851/180*n^2+164066250211583/15*n^3-\
55392317657153/144*n^4+57215342333/8*n^5-26281759763/360*n^6+6527147/15*n^7-\
67559/48*n^8+41/24*n^9)*p4-32832000*p8*p3*p1^3+864000*p8*p2*p1^4-15552000*p8*p2
^2*p1^2-6183475200*p7*p6*p1+115200*(-1621732836084480+14912010962535091/10*n-\
165106506818655703/360*n^2+17154094076393467/270*n^3-716846963110043/160*n^4+
123281483375573/720*n^5-2661434934049/720*n^6+2847350369/60*n^7-555719623/1440*
n^8+824729/432*n^9-161/36*n^10)*p2-2755952640*p7*p5*p2+4608*(522413010000-\
21957217170*n+239910530*n^2-1163960*n^3+1800*n^4)*p5^2+60*(-785754000+21733920*
n-155520*n^2)*p2^5+7200*(21508793071920-5805997165738/3*n+54911079771*n^2-\
1892183990/3*n^3+3833915*n^4-11200*n^5+10*n^6)*p4^2+49816166400*p11*p3+
45664819200*p10*p4-16473600*p10*p1^4+39597465600*p9*p5+68434329600*p12*p2-\
1287014400*p6^2*p2+248371200*p6^2*p1^2-1199520000*p6*p4^2+23328000*p8*p2^3+
16887398400*p7^2+16265279731644417280/3*n^4-23151338635870183680*n^3+19200*(-\
21332263680+509321904*n-1410864*n^2)*p12+8456849600/3*n^10+32000*n^12-41292800/
3*n^11-2198568960*p6*p5*p3-15360*p7*p2*p1^5+76800*(924821099781264-\
1831715089354331/6*n+5197167772275007/144*n^2-291874217057017/144*n^3+
34810166178851/576*n^4-293072720813/288*n^5+2912604991/288*n^6-4301849/72*n^7+
105187/576*n^8-5/32*n^9)*p3*p1+3840*(-8089984+116265*n-225*n^2)*p5*p3*p2*p1^2+
460800*p7*p2^2*p1^3-2073600*p7*p2^3*p1+998400*p7*p3*p1^4+77644800*p7*p3*p2^2+
6400*(58778454-831957*n+1449*n^2)*p6*p3*p2*p1+5760*(64700626-968826*n+2730*n^2)
*p5*p4*p2*p1+190464000*p7*p3^2*p1-32256000*p7*p4*p1^3-2309068800*p7*p4*p3+4800*
(-1463880431200+1057769216213/6*n-292724453047/36*n^2+567928915/3*n^3-87906169/
36*n^4+102677/6*n^5-460/9*n^6)*p2*p1^4+2400*(-6107750+85686*n-126*n^2)*p4*p3*p2
^2*p1+757785600*p10*p2*p1^2+1600*(1041318-14862*n+30*n^2)*p4*p3*p2*p1^3+873600*
p6*p4*p1^4+101001600*p6*p4*p2^2-24998400*p6*p5*p1^3+256608000*p9*p2^2*p1+
675840000*p9*p3*p1^2-2995660800*p9*p3*p2-8103744000*p9*p4*p1+9600*(9716694394-\
1010441761/3*n+3739909*n^2-46958/3*n^3+12*n^4)*p4*p3*p2*p1+3200*(4098908016-\
53759664*n+162288*n^2)*p6^2-31680000*p9*p2*p1^3+14400*(9624343170800-\
7328215785865/6*n+230537398911/4*n^2-2679548721/2*n^3+204810559/12*n^4-357022/3
*n^5+1085/3*n^6)*p2^2*p1^2+668736000*p8*p4*p1^2+28800*(1166712722562240-\
1120670030668792/3*n+1257604142888587/30*n^2-8705649550295/4*n^3+234002609233/4
*n^4-3540875363/4*n^5+490792571/60*n^6-268393/6*n^7+340/3*n^8)*p2^2+12800*(
295983519859440-50568824745733*n+17702647556915/6*n^2-151824859269/2*n^3+
5816875511/6*n^4-7108652*n^5+84613/3*n^6-85/2*n^7)*p3^2-3054412800*p8*p4*p2+600
*(479439385728-29424183120*n+645691968*n^2-6460272*n^3+25920*n^4)*p2^4+4800*(-\
62305844721936+16627123863903/2*n-1560994768119/4*n^2+8671401942*n^3-421413633/
4*n^4+1418685/2*n^5-2118*n^6)*p2^3+115200*(790242221422080-3132034110320309/6*n
+42991530066853447/360*n^2-2320996580422661/180*n^3+72113110084549/96*n^4-\
229643903800/9*n^5+383771434711/720*n^6-2559232243/360*n^7+17603603/288*n^8-\
7609/24*n^9+55/72*n^10)*p1^2+40/7*(140822080-7203056*n+120848*n^2-672*n^3)*p1^8
-10692864000*p11*p2*p1+320*(216333403680-48981086859/2*n+4303033687/4*n^2-\
48029799/2*n^3+1181045/4*n^4-1919*n^5+5*n^6)*p1^6-8467430400*p10*p3*p1+9600*(
51212168764992-35182215809722/3*n+18575233365257/18*n^2-1677814756549/36*n^3+
43708603505/36*n^4-696288811/36*n^5+6874745/36*n^6-9838/9*n^7+25/9*n^8)*p1^4+
187536384000*p13*p1+34944000*p4^2*p3^2-8640000*p4^3*p1^2+36000000*p4^3*p2+
18432000*p5*p3^3-1296000*p4^2*p2^3-14257152000*p12*p1^2+211200*p9*p1^5-\
1828569600*p10*p2^2+628992000*p11*p1^3+52876800*p5^2*p2^2-1200890880*p5^2*p4+
345600*p5^2*p1^4-1112832000*p8*p3^2
[5, 4, 2, 2, 2, 2, 2, 2, 2]
2150400*(26357306385850-3957665994457*n+1699076748999/8*n^2-254854721747/48*n^3
+205185523/3*n^4-11493407/24*n^5+38467/24*n^6-21/16*n^7)*p3*p2*p1+
525251437549977600000*n+716800*(293197806-5123250*n+8910*n^2)*p9*p2*p1+537600*(
-5824732090+396664139/2*n-4166015/2*n^2+15449/2*n^3-9/2*n^4)*p4*p3*p2*p1+215040
*(223330450-2983191*n+7431*n^2)*p5*p4*p3+107520*(11295958-182724*n+510*n^2)*p5*
p4*p1^3+143360*(-37304360+495900*n-900*n^2)*p5*p3^2*p1+107520*(-23292630+303453
*n-405*n^2)*p5*p3*p2^2+35840*(-1669022+25245*n-45*n^2)*p5*p3*p1^4+53760*(
3568590-43740*n)*p5*p2^3*p1+53760*(-913950+11610*n)*p5*p2^2*p1^3+10752*(220710-\
2880*n)*p5*p2*p1^5+134400*(5878152-75600*n)*p6*p2^2*p1^2+44800*(-1460760+20160*
n)*p6*p2*p1^4+89600*(-988328+13860*n-18*n^2)*p4*p3*p2*p1^3+134400*(3694548-\
48726*n+54*n^2)*p4*p3*p2^2*p1+215040*(6335166-88443*n+135*n^2)*p5*p3*p2*p1^2+
322560*(-41346918+610110*n-1530*n^2)*p5*p4*p2*p1+358400*(-37447368+507780*n-756
*n^2)*p6*p3*p2*p1+268800*(-64798104+992544*n-2688*n^2)*p6*p4*p1^2+358400/3*(
10039680-148680*n+252*n^2)*p6*p3*p1^3+230400*(-35524944+481068*n-252*n^2)*p7*p2
^2*p1+153600*(9027704-136080*n+84*n^2)*p7*p2*p1^3+430080*(378458052-5477220*n+
16380*n^2)*p6*p5*p1+716800*(-4797430564242+2099347577884/3*n-2760051322573/72*n
^2+16395398123/16*n^3-1041179401/72*n^4+322574/3*n^5-13361/36*n^6+5/16*n^7)*p3*
p1^3+806400*(-5072400652064+683384417910*n-68197395559/2*n^2+1646166463/2*n^3-\
21008507/2*n^4+141121/2*n^5-197*n^6)*p2^2*p1^2+268800*(919889527696-\
122085531134*n+12410193679/2*n^2-940581349/6*n^3+12681083/6*n^4-88019/6*n^5+122
/3*n^6)*p2*p1^4+4300800*(-393201093356172+266155590317147/2*n-1165686975889873/
72*n^2+33759611826929/36*n^3-920403689103/32*n^4+141452184127/288*n^5-76852195/
16*n^6+3902237/144*n^7-21887/288*n^8+5/96*n^9)*p3*p1+3225600*(115178346409968-\
158594386595466/5*n+48691742027779/15*n^2-986473108579/6*n^3+9212136861/2*n^4-\
1504762911/20*n^5+14583333/20*n^6-47977/12*n^7+115/12*n^8)*p2*p1^2+1612800*(
21746194428088-17913989425302/5*n+650954785393/3*n^2-75208255331/12*n^3+
559998161/6*n^4-10858664/15*n^5+16649/6*n^6-15/4*n^7)*p4*p1^2+2580480*(-\
87180069176970+49927927012712/3*n-27317883749975/24*n^2+1730738414369/48*n^3-\
13660094453/24*n^4+54238205/12*n^5-106955/6*n^6+425/16*n^7)*p5*p1+268800*(
233344776-3263904*n+8064*n^2)*p6*p4*p2-640104949514240*n^8+31442110133969920*n^
7-2673322675853312000/3*n^6+42440941678302755840/3*n^5-361586274515976366080/3*
n^4+1530353460230033367040/3*n^3-928127182221352960000*n^2+716800/3*(-72067446+
1533708*n-2970*n^2)*p9*p1^3+215040*(1149340094-91855899/2*n+526866*n^2-3525/2*n
^3)*p5*p2*p1^3+537600*(318986040-4756860*n+9540*n^2)*p8*p3*p1+403200*(-52658352
+862056*n-1080*n^2)*p8*p2*p1^2+460800*(358404536-5240880*n+14000*n^2)*p7*p4*p1+
307200*(212149280-2845980*n+4620*n^2)*p7*p3*p2+307200*(-57677072+852404*n-1540*
n^2)*p7*p3*p1^2+537600*(-6466778304+273991536*n-3296748*n^2+11676*n^3)*p6*p2*p1
^2+15360*(-2135840+37268*n-28*n^2)*p7*p1^5+12902400/11*(-2068562496+48339720*n-\
120120*n^2)*p11*p1+645120*(44494913330-3664618777/2*n+41351023/2*n^2-192401/2*n
^3+255/2*n^4)*p5*p4*p1+430080*(33800991560-2343761577/2*n+49384185/4*n^2-96063/
2*n^3+135/4*n^4)*p5*p3*p2+645120*(-1575333760+28854540*n-60060*n^2)*p10*p2+
430080*(-7329300860+589534751/2*n-13477507/4*n^2+27785/2*n^3-45/4*n^4)*p5*p3*p1
^2+645120*(391648400-8828820*n+20020*n^2)*p10*p1^2+1433600/3*(-1708695450+
25765047*n-56727*n^2)*p9*p3+322560*(-5441028870+390045573/2*n-2067525*n^2+13545
/2*n^3)*p5*p2^2*p1+33006403584000*p14+403200*(-1924673520+27146232*n-72792*n^2)
*p8*p4+921600*(35003703100-1566530657*n+19748335*n^2-75271*n^3+21*n^4)*p7*p2*p1
+716800*(40742001804-1700724893*n+19380585*n^2-80143*n^3+63*n^4)*p6*p3*p1+
201600*(203958000-2927016*n+3240*n^2)*p8*p2^2+67200*(12744624-249480*n+360*n^2)
*p8*p1^4+368640*(-2061088260+27882918*n-82278*n^2)*p7*p5+44800/3*(46332-486*n)*
p3*p2^3*p1^3+4480*(-11160+108*n)*p3*p2^2*p1^5+1280/3*(2436-18*n)*p3*p2*p1^7+
16800*(126048-1584*n)*p4*p2^2*p1^4+8400*(1924128-23328*n)*p4*p2^4+358400/3*(
209268360-2684304*n+5040*n^2)*p6*p3^2+2240*(-29408+360*n)*p4*p2*p1^6+44800*(-\
22484952+272160*n)*p6*p2^3+358400/9*(3306600-37800*n)*p3^3*p2*p1-536238489600*
p7^2+8960/3*(334152-5040*n)*p6*p1^6+44800*(-467820+5400*n)*p3^2*p2^2*p1^2+44800
/3*(121620-1440*n)*p3^2*p2*p1^4+11200*(-181440+1944*n)*p3*p2^4*p1+129024*(
240712920-3419010*n+9450*n^2)*p5^2*p2+179200*(1260378446-292211383/6*n+1104463/
2*n^2-13067/6*n^3+3/2*n^4)*p4*p3*p1^3+67200*(-193392328+7244230*n-78124*n^2+238
*n^3)*p4*p2*p1^4+179200*(940047600-30934256*n+303798*n^2-870*n^3)*p3^2*p2*p1^2+
89600*(661953150-39260295/2*n+166536*n^2-621/2*n^3)*p3*p2^3*p1+89600*(-\
143672674+9150705/2*n-40455*n^2+153/2*n^3)*p3*p2^2*p1^3+17920*(29588430-2004487
/2*n+9090*n^2-33/2*n^3)*p3*p2*p1^5+129024*(-67228560+1043910*n-3150*n^2)*p5^2*
p1^2+1290240*(1575508548364-135388571388*n+7796659649/2*n^2-189578799/4*n^3+
523509/2*n^4-2085/4*n^5)*p5*p2*p1+1075200*(1808769351174-301665087581/2*n+
49599967085/12*n^2-283863773/6*n^3+797428/3*n^4-1832/3*n^5+1/4*n^6)*p4*p3*p1+
806400*(-300598731568+23851472276*n-650678017*n^2+7681072*n^3-40929*n^4+74*n^5)
*p4*p2*p1^2+512*(-48230+630*n)*p5*p1^7+537600*(-286606853102+39676068657/2*n-\
1879236593/4*n^2+19782235/4*n^3-90375/4*n^4+99/4*n^5)*p3*p2^2*p1+50400*(-\
25079520+352080*n-720*n^2)*p4^2*p2^2+134400*(-39362360+543820*n-1220*n^2)*p4^2*
p3*p1+16800*(-1844960+30640*n-80*n^2)*p4^2*p1^4+100800*(6897120-104640*n+240*n^
2)*p4^2*p2*p1^2+89600*(-22466060+282456*n-360*n^2)*p4*p3^2*p2+89600*(6259860-\
83872*n+120*n^2)*p4*p3^2*p1^2+8960*(254700-3826*n+6*n^2)*p4*p3*p1^5+33600*(-\
503712+6264*n)*p4*p2^3*p1^2+80*(6048-64*n)*p4*p1^8-15386112000*p8*p3*p2*p1+
358400*(53342211538-23636772773/6*n+406548271/4*n^2-6830305/6*n^3+21453/4*n^4-6
*n^5)*p3*p2*p1^3+201600*(921440088-31599762*n+321360*n^2-966*n^3)*p4*p2^2*p1^2+
358400/27*(-901800+10800*n)*p3^3*p1^3+44800/3*(1738260-19440*n)*p3^2*p2^3+8960/
9*(-30060+360*n)*p3^2*p1^6+2419200*p4*p3*p2^2*p1^3+387072000*p5*p3^2*p2*p1-\
43545600*p5*p3*p2^2*p1^2+740275200*p5*p4*p2^2*p1-4793886720*p5*p4*p3*p2+
406425600*p6*p3*p2^2*p1-161280*p4*p3*p2*p1^5-7257600*p4*p3*p2^3*p1-32256000*p4*
p3^2*p2*p1^2+491904000*p4^2*p3*p2*p1+4838400*p5*p3*p2*p1^4-164505600*p5*p4*p2*
p1^3+1597962240*p5*p4*p3*p1^2-90316800*p6*p3*p2*p1^3+2167603200*p6*p4*p2*p1^2-\
13788364800*p6*p4*p3*p1-21134131200*p6*p5*p2*p1+1419264000*p7*p3*p2*p1^2+
1433600*(-185209779150+21431579499/2*n-352738881/2*n^2+1616967/2*n^3-1485/2*n^4
)*p9*p1-19353600000*p7*p4*p2*p1+89600*(-4172510680+125235360*n-1156518*n^2+3150
*n^3)*p3^2*p2^2+89600/3*(-200993640+7314112*n-76590*n^2+230*n^3)*p3^2*p1^4+2560
/3*(-5749170+399601/2*n-1773*n^2+5/2*n^3)*p3*p1^7+307200*(-7016118276+
1064442773/3*n-5232563*n^2+63133/3*n^3-7*n^4)*p7*p1^3+537600*(-246284963232+
10401737500*n-113244684*n^2+516656*n^3-672*n^4)*p6*p4+268800*(30595376112-\
1141360416*n+12441996*n^2-42588*n^3)*p6*p2^2+21504*(-231120830+20060885/2*n-\
126175*n^2+845/2*n^3)*p5*p1^5+201600*(35444905776-1217269980*n+13021020*n^2-\
55740*n^3+60*n^4)*p4^2*p2+201600*(-7729686512+309941540*n-3593580*n^2+16460*n^3
-20*n^4)*p4^2*p1^2+179200*(35683715816-3419513540/3*n+11667236*n^2-135898/3*n^3
+30*n^4)*p4*p3^2+4480*(38523800-4594838/3*n+17384*n^2-154/3*n^3)*p4*p1^6+716800
/9*(-5881407000+188581290*n-1882440*n^2+6150*n^3)*p3^3*p1+81323827200*p9*p3*p2-\
27107942400*p9*p3*p1^2-38745907200*p10*p2*p1^2+422682624000*p11*p2*p1+
275526451200*p10*p3*p1+1843200*(-6420259759452+2103948720935/3*n-155676906145/6
*n^2+1196023730/3*n^3-7520000/3*n^4+17591/3*n^5-7/6*n^6)*p7*p1+8960*(1593887944
-340924294/3*n+2860432*n^2-89408/3*n^3+102*n^4)*p2*p1^6+430080*(-284283632844+
76890391394/3*n-1625854023/2*n^2+67034633/6*n^3-130665/2*n^4+265/2*n^5)*p5*p1^3
+67200*(-4172484168+130653126*n-1252260*n^2+3654*n^3)*p4*p2^3+89600*(1302481488
-61162976*n+836220*n^2-3052*n^3)*p6*p1^4+16800*(-98787168+2717280*n-18144*n^2)*
p2^4*p1^2+11200*(20524032-587520*n+3888*n^2)*p2^3*p1^4+2240*(-4022560+116784*n-\
720*n^2)*p2^2*p1^6+160*(735744-20432*n+96*n^2)*p2*p1^8+1075200*(-7815644366376+
735416761898*n-22388466051*n^2+279879964*n^3-1580649*n^4+3318*n^5)*p6*p2+
1075200*(1385799327528-136774989554*n+4676171437*n^2-68077142*n^3+413651*n^4-\
896*n^5)*p6*p1^2+860160*(-9400487054970+5142186695053/6*n-48984773463/2*n^2+
6674328533/24*n^3-12539853/8*n^4+30325/8*n^5-15/8*n^6)*p5*p3+403200*(
1639995159528-120269110454*n+2937888741*n^2-31967125*n^3+162699*n^4-285*n^5)*p4
*p2^2+134400*(54968619096-4560352002*n+403697915/3*n^2-5222809/3*n^3+28969/3*n^
4-53/3*n^5)*p4*p1^4+358400*(1761086481820-374412943645/3*n+5817313877/2*n^2-\
91927220/3*n^3+306063/2*n^4-255*n^5)*p3^2*p2+358400*(-323843687716+25090198857*
n-3968021533/6*n^2+7513203*n^3-237455/6*n^4+70*n^5)*p3^2*p1^2+35840*(-\
9828760750+1506303121/2*n-246992363/12*n^2+976833/4*n^3-13957/12*n^4+5/4*n^5)*
p3*p1^5+134400*(46539454584-3106259406*n+72094680*n^2-720648*n^3+2682*n^4)*p2^3
*p1^2+67200*(-8682454352+606158376*n-14855432*n^2+153532*n^3-564*n^4)*p2^2*p1^4
+806400*(-184151351472+8653851432*n-113580810*n^2+461808*n^3-270*n^4)*p8*p2+
806400*(36515758224-1978900056*n+31068006*n^2-135000*n^3+90*n^4)*p8*p1^2+614400
*(-219537658032+28460084186/3*n-108083579*n^2+1353706/3*n^3-385*n^4)*p7*p3-\
19353600*p7*p2^2*p1^3+1290240*p7*p2*p1^5+62029578240*p6*p5*p3+2348236800*p6*p5*
p1^3-3251404800*p6*p4*p2^2-120422400*p6*p4*p1^4-1806336000*p6*p3^2*p2+602112000
*p6*p3^2*p1^2+3010560*p6*p3*p1^5-30330961920*p7*p5*p1^2+59718451200*p7*p4*p3+
2150400000*p7*p4*p1^3-5734400000*p7*p3^2*p1-72576000*p8*p2*p1^4+257222246400*p7
*p6*p1+90992885760*p7*p5*p2-29349734400*p8*p4*p1^2+1709568000*p8*p3*p1^3+
653184000*p8*p2^2*p1^2+263015424000*p8*p5*p1+88049203200*p8*p4*p2-9580032000*p9
*p2^2*p1+2128896000*p9*p2*p1^3+268240896000*p9*p4*p1+48384000*p4*p3^2*p2^2+
1792000*p4*p3^2*p1^4+2560*p4*p3*p1^7+71680000*p4*p3^3*p1-7369850880*p5^2*p3*p1+
1219276800*p5^2*p2*p1^2-7383398400*p5*p4^2*p1+5483520*p5*p4*p1^5-43008000*p5*p3
^2*p1^3+43545600*p5*p3*p2^3-107520*p5*p3*p1^6-54656000*p4^2*p3*p1^3-36288000*p4
^2*p2^2*p1^2+4032000*p4^2*p2*p1^4-2128896000*p7*p3*p2^2-78848000*p7*p3*p1^4+
58060800*p7*p2^3*p1+23461868917760/3*n^9-180636467200/3*n^10-1792000/3*n^12+
835609600/3*n^11+2150400*(308272055691600-352012223593184/5*n+16811646702445/3*
n^2-198570584121*n^3+20037942701/6*n^4-271086627/10*n^5+652841/6*n^6-343/2*n^7)
*p6+1612800*(-117231279302984+307322279513518/15*n-3686344351256/3*n^2+
392280218569/12*n^3-1288237568/3*n^4+30767573/10*n^5-33878/3*n^6+59/4*n^7)*p4*
p2+716800*(-130215617430360+67696996471198/3*n-11951472226580/9*n^2+34077020180
*n^3-15300098777/36*n^4+35634347/12*n^5-389855/36*n^6+55/4*n^7)*p3^2+268800*(
28350167799888-3861252107070*n+368712972843/2*n^2-8240635479/2*n^3+98337693/2*n
^4-632529/2*n^5+870*n^6)*p2^3+17920*(-167892058080+65610679378/3*n-20055239515/
18*n^2+57365431/2*n^3-7131631/18*n^4+16603/6*n^5-65/9*n^6)*p1^6+3225600*(
1020594475620720-439674836997030*n+3004659241730194/45*n^2-841223120583331/180*
n^3+11898204281761/72*n^4-24471029637/8*n^5+5499260719/180*n^6-1744903/10*n^7+
12643/24*n^8-41/72*n^9)*p4+1612800*(-489447508602240+477775365785296/3*n-\
181486413362391/10*n^2+11455579448339/12*n^3-25864791927*n^4+780032791/2*n^5-\
35201309/10*n^6+73457/4*n^7-43*n^8)*p2^2+1075200*(10708457760-254623824*n+
668304*n^2)*p12+537600*(-25117809935328+30816302865732/5*n-10560440471041/18*n^
2+1037693439947/36*n^3-814705981*n^4+623444827/45*n^5-141613*n^6+29081/36*n^7-\
35/18*n^8)*p1^4+6451200*(645584947428960-8990826001171096/15*n+
16786632655371733/90*n^2-627577151897309/24*n^3+1341657463192691/720*n^4-\
17210649884689/240*n^5+557446454053/360*n^6-78582867/4*n^7+12416751/80*n^8-\
35077/48*n^9+19/12*n^10)*p2-46964736000*p11*p1^3+58118860800*p10*p2^2+
2152550400*p10*p1^4-1144494489600*p9*p5+27740160000*p8*p3^2-653184000*p8*p2^3-\
67737600*p5^2*p1^4-430080000*p5*p3^3-1828915200*p5^2*p2^2-5120*p3*p1^9-89600*p4
^2*p1^6+36288000*p4^2*p2^3+1612800*(28275449922720-3481856626028*n+140266483410
*n^2-2256716689*n^3+14563767*n^4-36315*n^5+15*n^6)*p8+6451200*(-320204339753760
+3239237147345072/15*n-4567430820500369/90*n^2+6120096969068873/1080*n^3-\
16492025768849/48*n^4+8773859481289/720*n^5-11902665163/45*n^6+108111707/30*n^7
-1479169/48*n^8+66751/432*n^9-25/72*n^10)*p1^2+403200*(-9976396598960+
2716309512688/3*n-76755660298/3*n^2+856039760/3*n^3-4940380/3*n^4+4400*n^5-10/3
*n^6)*p4^2+32/9*(-123360+2880*n)*p1^10+258048*(-255511548600+10724393505*n-\
230131125/2*n^2+540645*n^3-1575/2*n^4)*p5^2+3360*(452736000-11838960*n+77760*n^
2)*p2^5+1290240*(921858537600-170492294830/3*n+965122015*n^2-13729430/3*n^3+
5005*n^4)*p10+33600*(-244966231584+15263305020*n-331106832*n^2+3168468*n^3-\
11664*n^4)*p2^4+179200/27*(-19764000+216000*n)*p3^4+33600*(230832000-3116400*n+
8400*n^2)*p4^3+179200*(-2106343008+28026432*n-84672*n^2)*p6^2-1219573555200*p10
*p4-7001358336000*p13*p1-2155681382400*p12*p2+718560460800*p12*p1^2-\
1349900697600*p11*p3+320*(-287144704+20425108*n-1527392/3*n^2+5028*n^3-40/3*n^4
)*p1^8-15173222400*p6^2*p1^2+30256128000*p6*p4^2-70963200*p9*p1^5-1090846310400
*p8*p6+1612800*p8*p1^6-20480*p7*p1^7+45519667200*p6^2*p2-846720000*p4^3*p2+
282240000*p4^3*p1^2-734720000*p4^2*p3^2+30807060480*p5^2*p4
[5, 3, 3, 3, 3, 3]
-58740815773057500*n+31711500*p8*p2*p1^2+18540900*p6*p4*p1^2+192456000*p7*p2^2*
p1+95256000*p6*p3*p2*p1-3849120000*p7*p3*p2-1193227200*p7*p4*p1-503010000*p8*p3
*p1+159213600*p5*p4*p2*p1-2918916000*p9*p2*p1-183474720*p10*p1^2+244944000*p5*
p3*p2^2-425250000*p6*p3^2-714420000*p6*p5*p1-1695362400*p14-2057529600*p5^2*p2-\
1518652800*p5*p4*p3+32805000*p4^2*p3*p1+94770000*p4*p3^2*p2+2041200000*p3^3*p1+
5486745600*p5*p3*p1^2+1616630400*p7*p1^3+6075/2*(-2885288+77252*n-644*n^2)*p6*
p4*p2+1215*p4*p2^5-60750*p4^2*p2^3+455625*p4^3*p2+14580*(-5220520200+370086360*
n-9226980*n^2+102480*n^3-420*n^4)*p5*p2*p1+2025/4*(770448-22344*n+168*n^2)*p6*
p2^3+12150*(-4879100016+274917020*n-5048070*n^2+49420*n^3-210*n^4)*p4*p3*p1+
7290*(12718420-349492*n+2860*n^2)*p10*p2+18225/2*(407501768-20282084*n+380908*n
^2-3800*n^3+16*n^4)*p4*p2*p1^2+6075*(951766080-59556680*n+1377780*n^2-14920*n^3
+60*n^4)*p3*p2^2*p1+4050*(-18887040+470160*n-3600*n^2)*p3*p2*p1^3+24300*(-\
124652121120+16102677004*n-758876940*n^2+18009325*n^3-241135*n^4+1735*n^5-5*n^6
)*p3*p2*p1+72900/7*(-76932240+2413488*n-18480*n^2)*p7*p2*p1+8100*(-48904800+
736680*n-5880*n^2)*p6*p3*p1+6075*(3537352-58940*n+476*n^2)*p6*p2*p1^2+7290*(-\
64869000+1385160*n-10920*n^2)*p5*p4*p1+18225/4*(11711820-292044*n+2460*n^2)*p8*
p4+4860*(-199382400+6582240*n-50400*n^2)*p5*p3*p2+3645*(15051120-436800*n+3360*
n^2)*p5*p2^2*p1+18225/8*(-756096+16288*n-128*n^2)*p4*p2^2*p1^2+18225/8*(-\
3117960+89280*n-720*n^2)*p8*p2^2+2025/2*(-2397120+63840*n-480*n^2)*p3*p2^3*p1+
16200*(365044680-11981970*n+90090*n^2)*p9*p1+18225/2*(1245485400-75960860*n+
1810626*n^2-20800*n^3+90*n^4)*p8*p2+18225/2*(-17159280+216444*n-1740*n^2)*p8*p1
^2+48600/7*(1025917200-36867600*n+277200*n^2)*p7*p3+18225/32*(720880-20480*n+
160*n^2)*p4^2*p2^2+6075/64*(-190112+5408*n-32*n^2)*p4*p2^4+6075/2*(-670198272+
39464904*n-841044*n^2+8784*n^3-36*n^4)*p2*p1^4-896888166172669125/16*n^3+48600*
(2806890935520-869274396971*n+381676870399/4*n^2-19887560195/4*n^3+2250880165/
16*n^4-4706765/2*n^5+189805/8*n^6-535/4*n^7+5/16*n^8)*p3*p1+36450*(-\
649389822080+444335523514/3*n-145303665427/12*n^2+2929613729/6*n^3-554550965/48
*n^4+703201/4*n^5-41215/24*n^6+115/12*n^7-1/48*n^8)*p2*p1^2+2025/2*(31604400-\
936000*n+7200*n^2)*p3^2*p2^2+6075/32*(187072-4640*n+32*n^2)*p2^4*p1^2+145800/7*
(22767201072-1886593632*n+50487822*n^2-568260*n^3+2310*n^4)*p7*p1+12150*(
50963911236-5422861591*n+689978107/3*n^2-65660917/12*n^3+932015/12*n^4-7175/12*
n^5+7/4*n^6)*p6*p2+12150*(-2085413568+104512891*n-3183369/2*n^2+13797*n^3-119/2
*n^4)*p6*p1^2+9720*(53859730680-4738489560*n+135085860*n^2-1549800*n^3+6300*n^4
)*p5*p3+4860*(126262080-3016440*n+22680*n^2)*p5*p1^3+18225/4*(-12497085128+
3722333882/3*n-160161751/3*n^2+3962687/3*n^3-57616/3*n^4+431/3*n^5-1/3*n^6)*p4*
p2^2+6075/4*(-6156264+118728*n-936*n^2)*p4*p1^4+4050*(-10467014400+768308040*n-\
19610100*n^2+219600*n^3-900*n^4)*p3^2*p2+4050*(254676960-5985000*n+45000*n^2)*
p3^2*p1^2+6075*(1370380284-213320023/3*n+3179407/2*n^2-53921/3*n^3+161/2*n^4)*
p6*p4+6075/2*(-297879904+54366886/3*n-448147*n^2+15554/3*n^3-21*n^4)*p6*p2^2+
18225/8*(-297709520+50794720/3*n-408460*n^2+14240/3*n^3-20*n^4)*p4^2*p2+18225/8
*(2850800-53400*n+440*n^2)*p4^2*p1^2+2025*(-137073960+2968200*n-23400*n^2)*p4*
p3^2+6075/8*(69846816-13177864/3*n+111500*n^2-3752/3*n^3+4*n^4)*p4*p2^3+6075/4*
(-83935152+4687312*n-102948*n^2+1080*n^3-4*n^4)*p2^3*p1^2+6075/8*(1490736-37440
*n+288*n^2)*p2^2*p1^4+29160*(466948165320-76464271975*n+8760608465/2*n^2-\
117098345*n^3+3298365/2*n^4-11970*n^5+35*n^6)*p5*p1+18225*(817216726128-\
443700905861/3*n+123479102171/12*n^2-4727957503/12*n^3+475301665/48*n^4-1011533
/6*n^5+44185/24*n^6-131/12*n^7+1/48*n^8)*p4*p2+18225*(-71762433408+8160176758*n
-936901856/3*n^2+5745157*n^3-64440*n^4+441*n^5-4/3*n^6)*p4*p1^2+8100*(
7422118848-521151300*n+10810350*n^2-110700*n^3+450*n^4)*p3*p1^3+18225/2*(
14929944544-1557039712*n+189309668/3*n^2-1373699*n^3+17705*n^4-125*n^5+1/3*n^6)
*p2^2*p1^2-2891700*p6*p2^2*p1^2-8164800*p5*p2^3*p1+21653049600*p11*p1-2004750*
p4^2*p2*p1^2-10206000*p4*p3*p2^2*p1+194400*p4*p2^3*p1^2-4860000*p3^2*p2^3+
29189160000*p9*p3+243000*p3*p2^4*p1-2430*p2^5*p1^2+32332608000*p7*p5+
424152610213603725/32*n^4-12757500*p6*p1^4-220449600*p5*p2*p1^3-90396000*p4*p3*
p1^3+2843100*p4*p2*p1^4-364500000*p3^2*p2*p1^2+14580000*p3*p2^2*p1^3-145800*p2^
3*p1^4+14368640241207825/128*n^6-102919981337863875/64*n^5-1312200*p2*p1^6+
412169110452075375/4*n^2+8768272275/128*n^10-60351648075/16*n^9+405/128*(47040-\
1152*n)*p2^6+1215/32*(-17010880+3373024/3*n-28288*n^2+800/3*n^3)*p2^5+6075/2*(-\
208943492256+33413237620*n-6773396786/3*n^2+272027773/3*n^3-7262588/3*n^4+
128896/3*n^5-1394/3*n^6+7/3*n^7)*p2^3+405/2*(16126560-430920*n+3240*n^2)*p1^6+
18225*(-177504327000+44211718107/2*n-4003459331/4*n^2+46164433/2*n^3-1264735/4*
n^4+2410*n^5-15/2*n^6)*p8-28834785/32*n^11+981315/128*n^12+18225*(3844566119552
-2495816162581/2*n+10845255461267/72*n^2-683264389313/72*n^3+108948258653/288*n
^4-1544887091/144*n^5+31984729/144*n^6-29141/9*n^7+957/32*n^8-19/144*n^9)*p2^2+
24300*(-2218606213824+2009736435693/4*n-2003745847691/48*n^2+83416960585/48*n^3
-8279401277/192*n^4+8485939/12*n^5-722113/96*n^6+2191/48*n^7-7/64*n^8)*p6+36450
*(-8368398729600+42432278158487/12*n-77662802681809/144*n^2+2891982887159/72*n^
3-983537367559/576*n^4+27163893779/576*n^5-2664808697/2880*n^6+3718465/288*n^7-\
7649/64*n^8+355/576*n^9-1/960*n^10)*p4+18225/4*(59947699480-17467475371/3*n+
1335796895/6*n^2-5039175*n^3+140525/2*n^4-1640/3*n^5+5/3*n^6)*p4^2+6075*(
76782328704-11412339393*n+1104497121/2*n^2-11881821*n^3+295257/2*n^4-1026*n^5+3
*n^6)*p1^4+72900*(2723250561024-1703292662677*n+2894463308657/8*n^2-\
1702615686587/48*n^3+176892056963/96*n^4-10731005801/192*n^5+344076423/320*n^6-\
1315009/96*n^7+1819/16*n^8-35/64*n^9+1/960*n^10)*p1^2+133436160*p10*p4-20849400
*p10*p2^2+103335750*p8*p6-42525*p6*p2^4+1093500*p8*p2^3+61236000*p3*p1^5+
20209629671685/128*n^8-160160005997865/32*n^7+2916*(1264435200-46922400*n+
352800*n^2)*p5^2+6075/16*(-2625960+70200*n-600*n^2)*p4^3+14580*(-5082637560+
977426879/3*n-14664221/2*n^2+245245/3*n^3-715/2*n^4)*p10+2025*(11804688-277536*
n+2352*n^2)*p6^2+12150*(-52907400+1347528*n-10920*n^2)*p12+6075/16*(2771147136-\
286340612*n+39445702/3*n^2-1018360/3*n^3+14618/3*n^4-92/3*n^5)*p2^4-2025/64*n^
13+72900*(-5916925722624+10760834932681/2*n-39651806950157/24*n^2+
33846466287211/144*n^3-5219858163001/288*n^4+493644488231/576*n^5-111774239/4*n
^6+653967301/960*n^7-1203187/96*n^8+95789/576*n^9-205/144*n^10+17/2880*n^11)*p2
+1956150*p6*p4*p2^2-22416750*p8*p4*p2+6075*(9946080-210960*n+1680*n^2)*p4*p3*p2
*p1+8100*(873369120960-147954816105*n+17647182345/2*n^2-245036325*n^3+7027425/2
*n^4-25650*n^5+75*n^6)*p3^2-6591375*p6*p4^2+265356000*p12*p2-9525600*p6^2*p2
[5, 3, 3, 3, 3, 2, 2]
-1043539200*p9*p1^3+8456400*p8*p1^4+1161255429504000000*n-2586608640*p7*p3*p1^2
-1986612480*p5*p3^2*p1-1278607680*p5^2*p1^2+138101760*p7*p2*p1^3+73794240*p4*p3
^2*p1^2+337789440*p5*p3*p2*p1^2+59019840*p5*p4*p1^3+37739520*p6*p3*p1^3+
87091200*p3^3*p2*p1-1542240*p6*p2*p1^4-8864640*p5*p2^2*p1^3-534600*p4^2*p1^4-\
7931520*p4*p3*p2*p1^3-124416000*p3^4+45209664000*p14-10730880*p3^2*p2^2*p1^2-\
3240*p2^4*p1^4+362880*p3*p2^3*p1^3+155520*p4*p2^2*p1^4+12960/7*(68559120-\
1086624*n+6048*n^2)*p7*p3*p2+9720/7*(-8312640+168336*n-1008*n^2)*p7*p2^2*p1+
2592*(35075880-436065*n+3045*n^2)*p6*p5*p1+1620*(81721080-1420202*n+8834*n^2)*
p6*p4*p2+1620*(-2493232+40810*n-322*n^2)*p6*p4*p1^2+4320*(43805520-907830*n+
5940*n^2)*p9*p2*p1+3240*(28204380-302760*n+2160*n^2)*p8*p3*p1+1080*(27119304-\
501048*n+3672*n^2)*p4*p3*p1^3+1215*(96374144-11478920/3*n+67382*n^2-1840/3*n^3+
2*n^4)*p4*p2^2*p1^2+405*(-2687232+51312*n-384*n^2)*p4*p2*p1^4+1080*(60569280-\
1452312*n+9936*n^2)*p3^2*p2*p1^2+540*(166646520-6881824*n+112248*n^2-752*n^3)*
p3*p2^3*p1+540*(-6104160+146160*n-1008*n^2)*p3*p2^2*p1^3+38880/7*(5548533816-\
256876984*n+4547634*n^2-39452*n^3+126*n^4)*p7*p2*p1+4320*(5131630728-181798225*
n+2375100*n^2-17486*n^3+63*n^4)*p6*p3*p1+135/2*(-210720+3264*n)*p3*p2^4*p1+405/
2*(-130240+2656*n-16*n^2)*p4*p2^3*p1^2+540*(-8123760+114048*n-576*n^2)*p4*p3^2*
p2+810*(-4432440+68880*n-480*n^2)*p4^2*p3*p1+1215/2*(550000-10600*n+80*n^2)*p4^
2*p2*p1^2+648*(-11376000+175680*n-720*n^2)*p5*p3*p2^2+324*(1449000-26880*n+120*
n^2)*p5*p2^3*p1+810*(637504-11508*n+84*n^2)*p6*p2^2*p1^2+1296*(52699500-721080*
n+4320*n^2)*p5*p4*p3+2430*(-3149520+46980*n-360*n^2)*p8*p2*p1^2+19440/7*(
37577400-614040*n+4200*n^2)*p7*p4*p1+7776*(296119248240-48589232565/2*n+
3064486355/4*n^2-26319005/2*n^3+133910*n^4-725*n^5+5/4*n^6)*p5*p2*p1+6480*(
313582476300-23140628296*n+625382131*n^2-9291519*n^3+85693*n^4-470*n^5+n^6)*p4*
p3*p1+4860*(-34784209608+7148199326/3*n-199442708/3*n^2+1083661*n^3-68095/6*n^4
+211/3*n^5-1/6*n^6)*p4*p2*p1^2+3240*(-54658524480+3986076062*n-118837849*n^2+
1978742*n^3-19073*n^4+86*n^5)*p3*p2^2*p1+2160*(3279909240-174179928*n+3530394*n
^2-34260*n^3+126*n^4)*p3*p2*p1^3+12960*(6092376741792-1707675908295/2*n+
179413587353/4*n^2-2488661573/2*n^3+43444185/2*n^4-503151/2*n^5+7333/4*n^6-13/2
*n^7)*p3*p2*p1+3240*(-521743376+58863539/3*n-609035/2*n^2+8029/3*n^3-21/2*n^4)*
p6*p2*p1^2+3888*(5793479160-217208980*n+3254085*n^2-26135*n^3+90*n^4)*p5*p4*p1+
2592*(9501064740-387177090*n+5770710*n^2-41160*n^3+90*n^4)*p5*p3*p2+2592*(-\
400626180+9433440*n-65160*n^2)*p5*p3*p1^2+1944*(-1037212080+45136210*n-777975*n
^2+6260*n^3-15*n^4)*p5*p2^2*p1+1296*(39210120-965340*n+6840*n^2)*p5*p2*p1^3-\
11197440*p5*p4*p3*p2-8346240*p6*p4*p3*p1-23328000*p7*p4*p2*p1-13996800*p8*p3*p2
*p1+1399680*p5*p4*p2^2*p1+1088640*p6*p3*p2^2*p1+1043280*p6*p4*p2*p1^2+15552/7*(
-474673500+6462540*n-39060*n^2)*p7*p5+77760/11*(-223062840+4474470*n-30030*n^2)
*p11*p1+3888*(-484812900+11470030*n-67210*n^2)*p10*p2-1428840000*p8*p6+27993600
*p8*p3^2-4860*p4*p2^5+90*(1632960-21888*n)*p3^2*p2^3-9039600*p8*p2^3-1555200*p4
^2*p3^2+81/8*(26560-480*n)*p2^5*p1^2+1215/4*(-14022720+269200*n-1600*n^2)*p4^2*
p2^2+405/8*(2643840-53216*n+224*n^2)*p4*p2^4+266872320*p10*p2^2-1698278400*p11*
p3-2084940000*p10*p4+720*(43409520-482832*n+3024*n^2)*p6*p3^2+270*(-15674400+
316092*n-1596*n^2)*p6*p2^3+70761600*p12*p1^2+3888/5*(77823900-1156050*n+6300*n^
2)*p5^2*p2+3888*(15423980-185900*n+1430*n^2)*p10*p1^2+2880*(-384867450+5815260*
n-35640*n^2)*p9*p3+2430*(-468255600+7777740*n-48900*n^2)*p8*p4+1215*(89616240-\
1940760*n+10800*n^2)*p8*p2^2+405*(-1796431248+81651000*n-1443270*n^2+11672*n^3-\
26*n^4)*p4*p2^3+3240*(-60627176820+2727047274*n-40817238*n^2+322868*n^3-1064*n^
4)*p6*p4+1620*(10056109392-488033154*n+8697395*n^2-70910*n^3+189*n^4)*p6*p2^2+
540*(13564320-187908*n+1428*n^2)*p6*p1^4+8640*(-27433373220+2766232425/2*n-\
48391695/2*n^2+427515/2*n^3-1485/2*n^4)*p9*p1+4860*(-50765227200+2763599265*n-\
52546125*n^2+444405*n^3-1305*n^4)*p8*p2+4860*(2730725760-102931075*n+1385115*n^
2-10985*n^3+45*n^4)*p8*p1^2+25920/7*(-53141088420+2368712724*n-34233192*n^2+
255864*n^3-756*n^4)*p7*p3+12960/7*(-218714832+5274864*n-37296*n^2)*p7*p1^3+
62596800*p6*p4^2-2540160*p6^2*p1^2-4898880*p5^2*p2^2+41640480*p5^2*p4+77760/7*(
-1269543300480+124271537873*n-4338183493*n^2+152268109/2*n^3-1586053/2*n^4+9205
/2*n^5-21/2*n^6)*p7*p1+6480*(-2143092378420+643834898581/3*n-93791119597/12*n^2
+1146274143/8*n^3-35359681/24*n^4+189595/24*n^5-119/8*n^6)*p6*p2+6480*(
174200421948-40057280872/3*n+4443670175/12*n^2-130255181/24*n^3+1217069/24*n^4-\
7427/24*n^5+7/8*n^6)*p6*p1^2+5184*(-2467924970850+457890103395/2*n-7261955310*n
^2+221728485/2*n^3-1974885/2*n^4+4800*n^5-15/2*n^6)*p5*p3+2592*(-19736773560+
1146029085*n-23269005*n^2+227295*n^3-855*n^4)*p5*p1^3+2430*(475101516240-\
120864764572/3*n+3971070532/3*n^2-23218327*n^3+712106/3*n^4-3803/3*n^5+2*n^6)*
p4*p2^2+810*(1835014512-80768232*n+1337316*n^2-12012*n^3+48*n^4)*p4*p1^4+2160*(
474561669420-36598533744*n+1056385158*n^2-16235130*n^3+142698*n^4-588*n^5)*p3^2
*p2+2160*(-31887097308+1800397554*n-35838990*n^2+341958*n^3-1242*n^4)*p3^2*p1^2
+1215*(10390003200-443930910*n+7225010*n^2-60090*n^3+190*n^4)*p4^2*p2+1215*(-\
485220080+48597710/3*n-268010*n^2+7390/3*n^3-10*n^4)*p4^2*p1^2+1080*(8356139100
-278232648*n+3792384*n^2-26688*n^3+72*n^4)*p4*p3^2-11197440*p7*p3*p2^2+933120*
p7*p2^3*p1-14832720*p6*p4*p2^2-4354560*p6*p3^2*p2-5977800*p8*p4*p1^2+874800*p8*
p2^2*p1^2+117573120*p7*p6*p1+173560320*p7*p5*p2+92728800*p8*p5*p1+243631800*p8*
p4*p2-25660800*p9*p2^2*p1-19440*p5*p2^4*p1+205286400*p9*p3*p2+183902400*p9*p4*
p1+216*(-122324040+3134880*n-22320*n^2)*p3*p1^5+810*(6258344208-1320807328/3*n+
40161512/3*n^2-710179/3*n^3+7456/3*n^4-37/3*n^5)*p2^3*p1^2+405*(-337995552+
17108472*n-342444*n^2+3312*n^3-12*n^4)*p2^2*p1^4+54*(11414880-297000*n+2160*n^2
)*p2*p1^6+9720*(-34018972955640+12060649047231/2*n-9329304746915/24*n^2+
74876478797/6*n^3-22647622019/96*n^4+34220747/12*n^5-348753/16*n^6+363/4*n^7-11
/96*n^8)*p4*p2+9720*(4129480743240-3424492053335/6*n+694531791529/24*n^2-\
752181485*n^3+1171172129/96*n^4-821735/6*n^5+52093/48*n^6-16/3*n^7+1/96*n^8)*p4
*p1^2+4320*(-615141147744+66574682085*n-2642062992*n^2+106507539/2*n^3-1247187/
2*n^4+7995/2*n^5-21/2*n^6)*p3*p1^3+480*(-599591160+13614480*n-90720*n^2)*p3^3*
p1+540*(-1465671600+56783184*n-838368*n^2+5088*n^3)*p3^2*p2^2+405/4*(-18986240+
2463560/3*n-14704*n^2+328/3*n^3)*p2^4*p1^2-45360*p6*p2^3*p1^2-5540400*p5*p4^2*
p1+311040*p5*p3*p2^3-48600*p4^2*p2^2*p1^2+311040*p4*p3^2*p2^2+93312000*p7*p4*p3
-70683840*p5*p1^5-163140480*p3^2*p1^4+758160*p4*p1^6+9642240*p3*p2*p1^5-116640*
p2^2*p1^6+31377490533537435*n^5-16681411188105975/8*n^6-349920*p1^8+
666008212848345/8*n^7-17204658608295/8*n^8+307946782665/8*n^9-3963158685/8*n^10
-221265/8*n^12+36463635/8*n^11+675/8*n^13+1944*(-6753060+111660*n-720*n^2)*p5*
p4*p2*p1+810*(1044480-17472*n+96*n^2)*p4*p3*p2^2*p1+135/2*(612960-14208*n+96*n^
2)*p2^3*p1^4+2160*(-5412540+74760*n-504*n^2)*p6*p3*p2*p1+63141120*p6*p5*p3+1620
*p4*p2^4*p1^2+777600*p4^2*p3*p2*p1-51840*p4*p3*p2^3*p1+25920*(-117330678280080+
150993011432891/4*n-209248350406135/48*n^2+11683336640839/48*n^3-1462694064709/
192*n^4+14478432877/96*n^5-197745107/96*n^6+940973/48*n^7-7699/64*n^8+35/96*n^9
)*p3*p1+1620*(76831674240-7141625904*n+258943757*n^2-5098836*n^3+59502*n^4-384*
n^5+n^6)*p2*p1^4+19440*(29752715884672-22107422817652/3*n+48419272527613/72*n^2
-4479033915707/144*n^3+249863835883/288*n^4-9506453221/576*n^5+32732441/144*n^6
-652937/288*n^7+1445/96*n^8-29/576*n^9)*p2*p1^2+4860*(-877614461904+
314852494126/3*n-30118915411/6*n^2+1632475589/12*n^3-14563619/6*n^4+89194/3*n^5
-235*n^6+11/12*n^7)*p2^2*p1^2+15552*(-21821505477660+15421396866435/4*n-\
3939989995395/16*n^2+123768330525/16*n^3-9095878385/64*n^4+27204925/16*n^5-\
418495/32*n^6+445/8*n^7-5/64*n^8)*p5*p1+1080*(-487922400+6774936*n-43512*n^2)*
p6^2+9720*(7738024694400-964346782070*n+83864724205/2*n^2-1700035515/2*n^3+
18390605/2*n^4-101285/2*n^5+105*n^6)*p8+405/2*(67874400-1170600*n+7800*n^2)*p4^
3+3240*(-891547452+33218668*n-510828*n^2+4064*n^3-12*n^4)*p4*p3*p2*p1+38880*(
225384351897600-619317911416933/3*n+9162344516617927/144*n^2-5167593955884497/
576*n^3+127738521787483/192*n^4-65640407950627/2304*n^5+27616563181/36*n^6-\
32383210151/2304*n^7+11725873/64*n^8-1304035/768*n^9+2981/288*n^10-73/2304*n^11
)*p2+27/16*(-460800+8640*n)*p2^6+6480*(2539555200-63871080*n+382200*n^2)*p12+
7776*(232792560000-29700959145/2*n+607200165/2*n^2-5327465/2*n^3+16445/2*n^4)*
p10-15785280*p6*p5*p2*p1+81/4*(315676800-14659560*n+262880*n^2-1880*n^3)*p2^5-\
11119680*p10*p2*p1^2+405/2*(-85651341120+20760660208/3*n-685851724/3*n^2+
4144880*n^3-128468/3*n^4+608/3*n^5)*p2^4+2430*(-2629480410000+734466032800/3*n-\
23611211875/3*n^2+124946190*n^3-3582860/3*n^4+19970/3*n^5-15*n^6)*p4^2+1620*(
8281655183088-1210985225328*n+410864475401/6*n^2-25053727025/12*n^3+119085301/3
*n^4-2971177/6*n^5+23093/6*n^6-173/12*n^7)*p2^3+88957440*p10*p3*p1+424569600*
p11*p2*p1+3240*(-4621794259008+887676771265*n-252548485571/4*n^2+9085012429/4*n
^3-773858909/16*n^4+2658105/4*n^5-46667/8*n^6+59/2*n^7-1/16*n^8)*p1^4+9720*(-\
154202753540160+49864444479151*n-11643666912433/2*n^2+2670818148353/8*n^3-\
44046465595/4*n^4+7507174595/32*n^5-20675809/6*n^6+1690081/48*n^7-2791/12*n^8+
73/96*n^9)*p2^2+7776/5*(-62379279900+5458392975/2*n-75560625/2*n^2+544425/2*n^3
-1575/2*n^4)*p5^2+38880*(-106711328102400+206220879657295/3*n-2192586998514643/
144*n^2+304056327843809/192*n^3-51445765096799/576*n^4+776535653129/256*n^5-\
78899933075/1152*n^6+2565815135/2304*n^7-53927/4*n^8+275903/2304*n^9-823/1152*n
^10+5/2304*n^11)*p1^2+4320*(-37364175946800+12941721459711/2*n-794203323729/2*n
^2+23331498915/2*n^3-390067863/2*n^4+2081190*n^5-13872*n^6+45*n^7)*p3^2+12960*(
92070621442800-41899773608007/2*n+20568264475759/12*n^2-1607042252767/24*n^3+
4289592328/3*n^4-438637969/24*n^5+3366629/24*n^6-3493/6*n^7+7/8*n^8)*p6+108*(-\
5127392160+321442110*n-6929370*n^2+69930*n^3-270*n^4)*p1^6-1411344000*p9*p5-\
3331238400*p13*p1-5024073600*p12*p2+96526080*p6^2*p2+226800*p6*p2^4-3280500*p4^
3*p2+121500*p4^3*p1^2+340200*p4^2*p2^3-671846400*p7^2-2041948916571859200*n^2+
19440*(331605383054400-141130610136445*n+64429820675825/3*n^2-74734741204063/48
*n^3+488623302645/8*n^4-91060444585/64*n^5+4090758073/192*n^6-6775645/32*n^7+
130183/96*n^8-923/192*n^9+1/192*n^10)*p4-525934677061134045/2*n^4+
1114287373016638650*n^3
[5, 3, 3, 3, 2, 2, 2, 2]
-24127746657638400000*n+51840*(-39934330591112+70330680648701/12*n-\
2547704887369/8*n^2+70227654055/8*n^3-430810259/3*n^4+11901799/8*n^5-224333/24*
n^6+167/6*n^7)*p3*p2*p1+12960*(401354916156-88909006270/3*n+2544734008/3*n^2-\
12789368*n^3+320606/3*n^4-1208/3*n^5)*p3*p2^2*p1+8640*(-43301590536+2939229845*
n-157540501/2*n^2+1135893*n^3-18371/2*n^4+34*n^5)*p3*p2*p1^3+2160*(639600-8592*
n+48*n^2)*p4*p3*p2*p1^3+3240*(-8328272+125744*n-464*n^2)*p4*p3*p2^2*p1+5184*(-\
6152400+84600*n-360*n^2)*p5*p3*p2*p1^2+7776*(59347970-931360*n+4720*n^2)*p5*p4*
p2*p1+8640*(54934978-830088*n+3696*n^2)*p6*p3*p2*p1+12960*(7732209582-887855608
/3*n+4178260*n^2-81128/3*n^3+52*n^4)*p4*p3*p2*p1-1265870592000*p14+864*(
3915884880-213572110*n+4219905*n^2-38810*n^3+135*n^4)*p3*p1^5+3240*(-\
54280021488+3902368030*n-341697358/3*n^2+5390528/3*n^3-47546/3*n^4+190/3*n^5)*
p2^3*p1^2+1620*(5534984544-1081774384/3*n+28975201/3*n^2-142110*n^3+3575/3*n^4-\
14/3*n^5)*p2^2*p1^4+216*(-455668800+23409690*n-457905*n^2+4230*n^3-15*n^4)*p2*
p1^6+62208*(137347964223960-305211101992955/12*n+6832358814715/4*n^2-\
2666039957495/48*n^3+24073973275/24*n^4-175203445/16*n^5+3470455/48*n^6-6175/24
*n^7+5/16*n^8)*p5*p1+38880*(199692942088920-70894738474009/2*n+20124501025708/9
*n^2-1613848297961/24*n^3+81233889269/72*n^4-93944691/8*n^5+5432009/72*n^6-3089
/12*n^7+1/4*n^8)*p4*p2+38880*(-29812821056760+27390211505777/6*n-3121452944435/
12*n^2+89642191505/12*n^3-1004888937/8*n^4+8051813/6*n^5-107639/12*n^6+395/12*n
^7-1/24*n^8)*p4*p1^2+17280*(5444798766984-2823025561413/4*n+279248357339/8*n^2-\
7204420417/8*n^3+28170659/2*n^4-1130241/8*n^5+6905/8*n^6-5/2*n^7)*p3*p1^3+19440
*(6608996076464-5098643471657/6*n+511016096377/12*n^2-6886440983/6*n^3+
230389097/12*n^4-207661*n^5+2749/2*n^6-13/3*n^7)*p2^2*p1^2+8640*(334192088976-\
23916438530*n+638373204*n^2-8867212*n^3+68442*n^4-240*n^5)*p3^2*p1^2+6480*(-\
842755626656+580703671843/6*n-8806635495/2*n^2+874686239/8*n^3-40913455/24*n^4+
138693/8*n^5-2621/24*n^6+1/3*n^7)*p2*p1^4+103680*(675763677284640-\
2686366272150605/12*n+1924700269626101/72*n^2-222032449364983/144*n^3+
14143806006041/288*n^4-34305220775/36*n^5+218487551/18*n^6-3716993/36*n^7+17611
/32*n^8-205/144*n^9)*p3*p1+77760*(-183732129813440+96402167423367/2*n-\
75247483185817/16*n^2+2781822327325/12*n^3-1285926126173/192*n^4+12048487481/96
*n^5-155152445/96*n^6+685117/48*n^7-5119/64*n^8+7/32*n^9)*p2*p1^2+3240*(-\
7748244+136080*n-672*n^2)*p6*p2^2*p1^2+15552*(2917814900-63453390*n+304590*n^2)
*p10*p2+1080*(463540-5922*n+42*n^2)*p6*p2*p1^4+5184*(-394125900+5490240*n-25440
*n^2)*p5*p4*p3+2592*(-4201230+57000*n-360*n^2)*p5*p4*p1^3+3456*(44025840-550800
*n+2160*n^2)*p5*p3^2*p1+2592*(64791240-969480*n+3480*n^2)*p5*p3*p2^2+15552*(-\
276776500+5579860*n-31460*n^2)*p10*p1^2+11520*(2819886300-46987380*n+219780*n^2
)*p9*p3+1296*(-9780900+166140*n-660*n^2)*p5*p2^3*p1+1296*(829860-12900*n+60*n^2
)*p5*p2^2*p1^3+3240*(48656400-709040*n+3760*n^2)*p4^2*p3*p1+5760*(29355480-\
470250*n+2970*n^2)*p9*p1^3+2430*(-7063720+117160*n-680*n^2)*p4^2*p2*p1^2+2160*(
55064160-746400*n+2400*n^2)*p4*p3^2*p2+2160*(-4726272+56160*n-288*n^2)*p4*p3^2*
p1^2+9720*(3131230200-48274020*n+242820*n^2)*p8*p4+9720*(47367000-900540*n+4860
*n^2)*p8*p2*p1^2+77760/7*(-390342120+6013560*n-32760*n^2)*p7*p4*p1+4860*(-\
480567960+9276660*n-43380*n^2)*p8*p2^2+1620*(-2522040+24660*n-180*n^2)*p8*p1^4+
62208/7*(3275218800-45179820*n+223020*n^2)*p7*p5+51840/7*(-437566920+6874560*n-\
30240*n^2)*p7*p3*p2+51840/7*(39245976-549360*n+3024*n^2)*p7*p3*p1^2+38880/7*(
63727776-1185072*n+5712*n^2)*p7*p2^2*p1+25920/7*(-5112240+85176*n-504*n^2)*p7*
p2*p1^3+10368*(-397394130+5572245*n-29085*n^2)*p6*p5*p1+311040/11*(2274892620-\
52402350*n+270270*n^2)*p11*p1+6480*(-471858940+7306656*n-35616*n^2)*p6*p4*p2+
17280*(-388782240+8016030*n-40590*n^2)*p9*p2*p1+12960*(-353599800+5555880*n-\
27720*n^2)*p8*p3*p1+57853440*p7*p1^5+2880*(-3632454+38388*n-252*n^2)*p6*p3*p1^3
+15552/5*(42890400-582750*n+3150*n^2)*p5^2*p1^2+1215*(70067480-1135640*n+5240*n
^2)*p4^2*p2^2+405*(382680-5480*n+40*n^2)*p4^2*p1^4+12960*(6056282596-521913091/
2*n+16463909/4*n^2-60445/2*n^3+315/4*n^4)*p6*p2*p1^2+2880*(-373689960+5016480*n
-20160*n^2)*p6*p3^2+15552*(-52404191910+6428469695/3*n-29536710*n^2+611470/3*n^
3-545*n^4)*p5*p4*p1+10368*(-59815644840+2369795370*n-32732160*n^2+205980*n^3-\
390*n^4)*p5*p3*p2+10368*(6048075480-225488640*n+3033405*n^2-19770*n^3+45*n^4)*
p5*p3*p1^2+7776*(7895143380-999999620/3*n+5131995*n^2-106390/3*n^3+75*n^4)*p5*
p2^2*p1+1080*(74995956-1318506*n+5586*n^2)*p6*p2^3+5184*(-738290880+28396385*n-\
839385/2*n^2+2995*n^3-15/2*n^4)*p5*p2*p1^3+15552/5*(-471823800+6928950*n-32550*
n^2)*p5^2*p2+4320*(-679093314+22418768*n-290670*n^2+1996*n^3-6*n^4)*p4*p3*p1^3+
6480*(43647380-656894*n+3934*n^2)*p6*p4*p1^2-34110720*p6*p3*p2^2*p1-53071200*p6
*p4*p2*p1^2-44789760*p7*p3*p2*p1^2+634677120*p6*p5*p2*p1+402312960*p6*p4*p3*p1+
774489600*p7*p4*p2*p1+746496000*p8*p3*p2*p1+4860*(-1007342484+40585528*n-627306
*n^2+4476*n^3-10*n^4)*p4*p2^2*p1^2+1620*(81101916-8348788/3*n+39349*n^2-902/3*n
^3+n^4)*p4*p2*p1^4+4320*(-895936200+31672200*n-410472*n^2+2112*n^3)*p3^2*p2*p1^
2+2160*(-1201760220+141264676/3*n-679636*n^2+11504/3*n^3)*p3*p2^3*p1+2160*(
113013036-4089524*n+55740*n^2-304*n^3)*p3*p2^2*p1^3+432*(-7017600+165240*n-1080
*n^2)*p3*p2*p1^5+31104*(-2164154874960+2227602694595/12*n-140033543845/24*n^2+
738353725/8*n^3-4902425/6*n^4+89555/24*n^5-45/8*n^6)*p5*p2*p1+25920*(-\
2411859270930+195620924235*n-16942346926/3*n^2+487417685/6*n^3-4008035/6*n^4+
17215/6*n^5-23/6*n^6)*p4*p3*p1-4320*p2^3*p1^6+19440*(324839813640-24721053711*n
+4331005949/6*n^2-134332643/12*n^3+1203437/12*n^4-5689/12*n^5+3/4*n^6)*p4*p2*p1
^2+810*(1220960-20840*n+88*n^2)*p4*p2^3*p1^2+405*(-84320+1304*n-8*n^2)*p4*p2^2*
p1^4+960*(-6022080+62208*n)*p3^3*p2*p1+1080*(842112-9216*n)*p3^2*p2^2*p1^2+270*
(1312960-18048*n)*p3*p2^4*p1+360*(-113904+1344*n)*p3*p2^3*p1^3+155520/7*(-\
45128631156+2143145578*n-35172585*n^2+256298*n^3-651*n^4)*p7*p2*p1+17280*(-\
48369449478+6042357916/3*n-55998761/2*n^2+554477/3*n^3-861/2*n^4)*p6*p3*p1+6480
*(-57689881172+5135049409/2*n-159429879/4*n^2+549479/2*n^3-2457/4*n^4)*p6*p2^2+
2592/5*(46183200-1080000*n+7200*n^2)*p5*p1^5+405/2*(-11210464+187152*n-624*n^2)
*p4*p2^4-77760*p2*p1^8+360*(-8682720+109824*n)*p3^2*p2^3+97873920*p3^3*p1^3+
3836160*p3*p1^7+1244160*p4*p3^2*p2*p1^2+81/2*(-192480+2880*n)*p2^5*p1^2+1105920
*p4*p3*p2^3*p1+135/4*(14944-192*n)*p2^4*p1^4-103680*p4*p3*p2^2*p1^3-25920000*p4
^2*p3*p2*p1+1866240*p5*p3*p2^2*p1^2-14929920*p5*p3^2*p2*p1+1866240*p5*p4*p2*p1^
3-22394880*p5*p4*p3*p1^2-39502080*p5*p4*p2^2*p1+286156800*p5*p4*p3*p2+1451520*
p6*p3*p2*p1^3+4320*(-59157632520+2086524088*n-27088128*n^2+160304*n^3-264*n^4)*
p4*p3^2+1620*(9422948388-1149190576/3*n+5771731*n^2-114938/3*n^3+67*n^4)*p4*p2^
3+108*(-3795420+67200*n-480*n^2)*p4*p1^6+1920*(7051760640-238491072*n+2940192*n
^2-14400*n^3)*p3^3*p1+2160*(8788623840-326751352*n+4409112*n^2-23360*n^3)*p3^2*
p2^2+720*(61977312-1456200*n+9288*n^2)*p3^2*p1^4+405*(162987184-6619376*n+
101168*n^2-608*n^3)*p2^4*p1^2+270*(-14166840+1552636/3*n-7348*n^2+128/3*n^3)*p2
^3*p1^4+54*(793800-18120*n+120*n^2)*p2^2*p1^6+34560*(229675889520-12884071145*n
+467039595/2*n^2-1772155*n^3+9405/2*n^4)*p9*p1+19440*(312114071640-16179472530*
n+273486645*n^2-1958130*n^3+4815*n^4)*p8*p2+19440*(-32872702200+1606846170*n-\
26675175*n^2+205590*n^3-585*n^4)*p8*p1^2+103680/7*(353953814760-16179092384*n+
227154354*n^2-1479772*n^3+3402*n^4)*p7*p3+51840/7*(4264596252-177049754*n+
2607045*n^2-19978*n^3+63*n^4)*p7*p1^3+12960*(395068920960-105305698379/6*n+
937813639/4*n^2-9314641/6*n^3+15841/4*n^4)*p6*p4+752716800*p9*p2^2*p1-34214400*
p9*p2*p1^3-5864659200*p8*p5*p1-5171817600*p8*p4*p2+451396800*p8*p4*p1^2-9331200
*p8*p3*p1^3-16133644800*p11*p2*p1-7768949760*p10*p3*p1+3240*(-33355765680+
2207191235*n-333305675/6*n^2+9103375/12*n^3-77497/12*n^4+413/12*n^5-1/12*n^6)*
p4*p1^4-23352201959538505140*n^3+5532993235893804390*n^4+2160*(-485132844+
97049687/6*n-784651/4*n^2+8281/6*n^3-21/4*n^4)*p6*p1^4+311040/7*(9039645605340-\
952341917625*n+70868544187/2*n^2-620926355*n^3+11554095/2*n^4-27370*n^5+49*n^6)
*p7*p1+25920*(13024090490460-3846504779474/3*n+175623352625/4*n^2-17089994915/
24*n^3+50132089/8*n^4-225967/8*n^5+357/8*n^6)*p6*p2+25920*(-1564459232700+
140933215955*n-55397815501/12*n^2+1797625795/24*n^3-16468963/24*n^4+79877/24*n^
5-49/8*n^6)*p6*p1^2+20736*(15403180205700-2889261742015/2*n+180692584325/4*n^2-\
2578678795/4*n^3+5158140*n^4-86175/4*n^5+115/4*n^6)*p5*p3+10368*(242894972520-\
75145519675/4*n+4326706145/8*n^2-64536365/8*n^3+284485/4*n^4-2765/8*n^5+5/8*n^6
)*p5*p1^3+9720*(-2820243710320+681251716265/3*n-40460909825/6*n^2+1233014567/12
*n^3-10628309/12*n^4+46469/12*n^5-19/4*n^6)*p4*p2^2+8640*(-2956293179640+
225782277190*n-6236001502*n^2+88209312*n^3-691376*n^4+2456*n^5)*p3^2*p2+4860*(-\
62739176920+7427653580/3*n-34810990*n^2+707500/3*n^3-570*n^4)*p4^2*p2+4860*(
6384368200-241636060*n+3471500*n^2-25920*n^3+80*n^4)*p4^2*p1^2+2160*p4*p2^3*p1^
4+518400*p4^2*p3*p1^3+1749600*p4^2*p2^2*p1^2-32400*p4^2*p2*p1^4-3317760*p4*p3^3
*p1-5806080*p4*p3^2*p2^2-38880*p4*p2^4*p1^2-6635520*p5*p3*p2^3+466560*p5*p2^4*
p1-51840*p5*p2^3*p1^3+211507200*p5*p4^2*p1+156764160*p5^2*p3*p1-19595520*p5^2*
p2*p1^2+1542240*p6*p2^3*p1^2-45360*p6*p2^2*p1^4-10523520*p6*p5*p1^3+257327280*
p6*p4*p2^2+347760*p6*p4*p1^4+124830720*p6*p3^2*p2-8709120*p6*p3^2*p1^2-48988800
*p8*p2^2*p1^2+583200*p8*p2*p1^4-5652218880*p7*p6*p1-4311014400*p7*p5*p2+
347120640*p7*p5*p1^2-2849126400*p7*p4*p3-15552000*p7*p4*p1^3+179159040*p7*p3^2*
p1+246343680*p7*p3*p2^2-23016960*p7*p2^3*p1+1866240*p7*p2^2*p1^3-2370332160*p6*
p5*p3+1000771200*p10*p2*p1^2-7378905600*p9*p4*p1-5474304000*p9*p3*p2+410572800*
p9*p3*p1^2+103680*p4*p2*p1^6-13374720*p3^2*p2*p1^4+466560*p3*p2^2*p1^5+
206530560*p5*p3*p1^4-7464960*p5*p2*p1^5-3473280*p4*p3*p1^5+78179420299725/2*n^8
-1645501481235810*n^7+13691639295/2*n^10-617746942350*n^9+538155/2*n^12-\
53274510*n^11-675*n^13+42564186953521423200*n^2+19259596800*p7^2+810*(
469863650112-104438264984/3*n+1017406470*n^2-47491516/3*n^3+136810*n^4-532*n^5)
*p2^4+17280*(220916574127200-38691043726563*n+4743886668227/2*n^2-135472660115/
2*n^3+1057111361*n^4-20498271/2*n^5+120903/2*n^6-170*n^7)*p3^2+6480*(-\
48453466377168+13815166861745/2*n-3300180260104/9*n^2+80397751817/8*n^3-\
11993782127/72*n^4+42474793/24*n^5-826097/72*n^6+106/3*n^7)*p2^3+77760*(-\
1832682919485600+4726296001938175/6*n-17355289844772169/144*n^2+104153647673605
/12*n^3-189851313901331/576*n^4+128032038089/18*n^5-13530950459/144*n^6+
57738683/72*n^7-2495191/576*n^8+911/72*n^9-1/96*n^10)*p4+38880*(865910523533440
-1693108758012475/6*n+1574456432968133/48*n^2-16433806473130/9*n^3+
32304334097761/576*n^4-306361959641/288*n^5+3899762177/288*n^6-16915441/144*n^7
+372577/576*n^8-167/96*n^9)*p2^2+155520*(-1200393826329600+6653167115841289/6*n
-12402356792786531/36*n^2+4675970700918001/96*n^3-343144376034835/96*n^4+
18887098472277/128*n^5-4234688165935/1152*n^6+477650131/8*n^7-129145241/192*n^8
+2030675/384*n^9-30967/1152*n^10+13/192*n^11)*p2+38880*(-46979866533600+
5889778414120*n-251586916860*n^2+9488528575/2*n^3-88621095/2*n^4+407505/2*n^5-\
705/2*n^6)*p8+155520*(581306008550400-767350393492543/2*n+6320124215797751/72*n
^2-2739232245842891/288*n^3+40474996588583/72*n^4-7645926412207/384*n^5+
527178408319/1152*n^6-2097182647/288*n^7+47705761/576*n^8-763169/1152*n^9+3935/
1152*n^10-5/576*n^11)*p1^2+283046400*p11*p1^3+52929676800*p10*p4-5237369280*p10
*p2^2+156880800*p8*p2^3-9623577600*p12*p1^2+60005836800*p11*p3+111041280*p5^2*
p2^2-2088011520*p6^2*p2+177811200*p6^2*p1^2-1395727200*p6*p4^2-3402000*p6*p2^4-\
1418342400*p8*p3^2-1214922240*p5^2*p4-514080*p6*p1^6-5832000*p4^3*p1^2+47692800
*p4^2*p3^2-4827600*p4^2*p2^3+58320*p4*p2^5+59292000*p4^3*p2+19906560*p5*p3^3+
86098849078251645/2*n^6-658673974052233515*n^5+54/7*(25556160-730800*n+5040*n^2
)*p1^8+25920*(-17036182800+425301240*n-2042040*n^2)*p12+51840*(-532124799406200
+122162875446997*n-718162279719941/72*n^2+3030935376511/8*n^3-2157355964057/288
*n^4+2009103187/24*n^5-78603343/144*n^6+5719/3*n^7-77/32*n^8)*p6+432*(
97336482720-19146722715/2*n+1452540625/4*n^2-28587645/4*n^3+160965/2*n^4-1965/4
*n^5+5/4*n^6)*p1^6+81*(-1459706000+59576760*n-900120*n^2+5280*n^3)*p2^5+27/4*(
1706400-25920*n)*p2^6+160*(41679360-414720*n)*p3^4+810*(-418416600+6234600*n-\
33000*n^2)*p4^3+12960*(33819312701760-44627327181487/6*n+90487791435535/144*n^2
-996403253665/36*n^3+422886309433/576*n^4-3704058745/288*n^5+44845097/288*n^6-\
185813/144*n^7+433/64*n^8-5/288*n^9)*p1^4+9720*(16333324456400-4571698551640/3*
n+47136392990*n^2-3989271755/6*n^3+32403295/6*n^4-144845/6*n^5+245/6*n^6)*p4^2-\
3706560*p10*p1^4+42631142400*p9*p5+39403324800*p8*p6+168782745600*p13*p1+
115482931200*p12*p2+31104*(-1486962477000+569641507435/6*n-7347203435/4*n^2+
81646565/6*n^3-136565/4*n^4)*p10+31104/5*(408544781400-17901816800*n+230537475*
n^2-1484350*n^3+3675*n^4)*p5^2+4320*(3337593840-44744448*n+221088*n^2)*p6^2
[5, 3, 3, 2, 2, 2, 2, 2, 2]
-7850649600*p5*p4^2*p1+1237317120*p5*p4*p2^2*p1+1459814400*p5*p4*p3*p1^2-\
663552000*p5*p3^3-7686696960*p5*p4*p3*p2+174182400*p5*p3*p2^3-1177344000*p4^2*
p3^2-1380240000*p4^3*p2+525580355530137600000*n+630374400*p5*p3^2*p2*p1+
103032000*p4^2*p2^3+777600000*p4^2*p3*p2*p1+1244160*p5*p4*p1^5+2880*p4*p2^2*p1^
6+278640000*p4^3*p1^2-21772800*p5^2*p1^4+131788800*p4*p3^2*p2^2+110592000*p4*p3
^3*p1+37132204032000*p14+506880*p3*p2*p1^7-138240000*p5*p4*p2*p1^3+4147200*p5*
p3*p2*p1^4-33177600*p5*p3^2*p1^3-5760*p2^2*p1^8-95385600*p5*p3*p2^2*p1^2-\
13996800*p5*p2^4*p1+3110400*p5*p2^3*p1^3-61560000*p4^2*p2^2*p1^2-47232000*p4^2*
p3*p1^3-34560*p1^10+3600*(-3042000+37152*n)*p3*p2^4*p1+4800*(469176-5472*n)*p3*
p2^3*p1^3+1440*(-55960+528*n)*p3*p2^2*p1^5+32400*(23715080-362200*n+1600*n^2)*
p4^2*p2*p1^2+28800*(-117634240+1503040*n-3664*n^2)*p4*p3^2*p2+28800*(20021008-\
259296*n+768*n^2)*p4*p3^2*p1^2+43200*(-138071600+1915920*n-7360*n^2)*p4^2*p3*p1
+17280*(23320980-368712*n+1350*n^2)*p5*p2^3*p1+17280*(-3639368+58260*n-240*n^2)
*p5*p2^2*p1^3+3456*(431300-6180*n+30*n^2)*p5*p2*p1^5+38400*(22774248-341166*n+
1470*n^2)*p6*p3*p1^3+43200*(24734976-420441*n+1785*n^2)*p6*p2^2*p1^2+14400*(-\
3417204+56553*n-273*n^2)*p6*p2*p1^4+69120*(867582100-11706344*n+45044*n^2)*p5*
p4*p3+34560*(24166912-367520*n+1820*n^2)*p5*p4*p1^3+46080*(-133159440+1771920*n
-5760*n^2)*p5*p3^2*p1+34560*(-132715820+1890048*n-6180*n^2)*p5*p3*p2^2+11520*(-\
3017340+40680*n-180*n^2)*p5*p3*p1^4+691200/7*(922491360-14152152*n+55272*n^2)*
p7*p3*p2-103680*p5*p2^2*p1^5+691200/7*(-156789696+2488248*n-10584*n^2)*p7*p3*p1
^2+518400/7*(-158341512+2809044*n-12012*n^2)*p7*p2^2*p1+345600/7*(24490872-\
444612*n+2100*n^2)*p7*p2*p1^3+138240*(1122921240-15915270*n+71106*n^2)*p6*p5*p1
+86400*(972703620-14254191*n+60039*n^2)*p6*p4*p2+86400*(-167466936+2556939*n-\
11907*n^2)*p6*p4*p1^2+129600*(-162208392+3142440*n-14400*n^2)*p8*p2*p1^2+
1036800/7*(1087691640-16492140*n+73668*n^2)*p7*p4*p1+172800*(1006331760-\
16514640*n+69120*n^2)*p8*p3*p1+230400*(1011578040-20554380*n+91278*n^2)*p9*p2*
p1+3240000*p4^2*p2*p1^4-52531200*p4*p3^2*p2*p1^2+414720*(4774154281720-\
424720913895*n+53796527893/4*n^2-4884445537/24*n^3+13285555/8*n^4-163583/24*n^5
+75/8*n^6)*p5*p2*p1+345600*(5392208443240-459440843176*n+54339538415/4*n^2-\
565968034/3*n^3+5740367/4*n^4-16205/3*n^5+11/2*n^6)*p4*p3*p1+259200*(-\
844489203492+412207583201/6*n-24771774125/12*n^2+185017811/6*n^3-754666/3*n^4+
3055/3*n^5-5/4*n^6)*p4*p2*p1^2+172800*(-909884245960+68368181008*n-7687768873/4
*n^2+164453441/6*n^3-838091/4*n^4+4189/6*n^5)*p3*p2^2*p1+115200*(137607777912-\
10374821871*n+3569302307/12*n^2-12964283/3*n^3+400309/12*n^4-334/3*n^5)*p3*p2*
p1^3+691200*(80000772176048-36586836177031/3*n+2731456719959/4*n^2-151264404875
/8*n^3+1195007277/4*n^4-2904665*n^5+16688*n^6-1063/24*n^7)*p3*p2*p1+172800*(-\
18264956052+830319763*n-12735156*n^2+84014*n^3-189*n^4)*p6*p2*p1^2+207360*(
131685548540-5606630275*n+294503219/4*n^2-451744*n^3+4057/4*n^4)*p5*p4*p1+
138240*(122833421480-14403701668/3*n+126156459/2*n^2-1087988/3*n^3+1245/2*n^4)*
p5*p3*p2+138240*(-19528363480+808530044*n-22034653/2*n^2+66090*n^3-255/2*n^4)*
p5*p3*p1^2+103680*(-19038409460+793784241*n-45897649/4*n^2+71502*n^3-555/4*n^4)
*p5*p2^2*p1+69120*(2890813100-368964229/3*n+7318143/4*n^2-35825/3*n^3+105/4*n^4
)*p5*p2*p1^3+57600*(2949941976-347158682/3*n+1568473*n^2-27856/3*n^3+17*n^4)*p4
*p3*p1^3+64800*(2988316168-361588337/3*n+3456793/2*n^2-31732/3*n^3+37/2*n^4)*p4
*p2^2*p1^2+46080*p4*p1^8+21600*(-428368332+17035995*n-489751/2*n^2+1576*n^3-7/2
*n^4)*p4*p2*p1^4+57600*(2892967460-108401640*n+1397776*n^2-6712*n^3)*p3^2*p2*p1
^2+28800*(2859385020-109051980*n+1459038*n^2-7248*n^3)*p3*p2^3*p1+28800*(-\
437127992+50351648/3*n-224840*n^2+3340/3*n^3)*p3*p2^2*p1^3+5760*(57470300-\
2055056*n+25402*n^2-116*n^3)*p3*p2*p1^5+2073600/7*(109374684720-5291889120*n+
83257461*n^2-548688*n^3+1239*n^4)*p7*p2*p1+230400*(121942932048-5332235118*n+
72683016*n^2-437640*n^3+882*n^4)*p6*p3*p1+2880*(361960-4224*n+24*n^2)*p4*p3*p1^
5+10800*(-3560244+54000*n-180*n^2)*p4*p2^3*p1^2+5400*(505288-7608*n+32*n^2)*p4*
p2^2*p1^4+720*(-50260+640*n-4*n^2)*p4*p2*p1^6+12800*(17386560-190080*n)*p3^3*p2
*p1+14400*(-2914864+33024*n)*p3^2*p2^2*p1^2+4800*(388848-3744*n)*p3^2*p2*p1^4-\
14400*p4^2*p1^6-23259156480*p6*p5*p2*p1+2388787200*p7*p3*p2*p1^2-26052710400*p7
*p4*p2*p1-28304640000*p8*p3*p2*p1+1166054400*p6*p3*p2^2*p1-122572800*p6*p3*p2*
p1^3+2369606400*p6*p4*p2*p1^2+1382400*p4*p3^2*p1^4-29030400*p4*p3*p2^3*p1+
1166400*p4*p2^4*p1^2+5299200*p4*p3*p2^2*p1^3+86400*(115519620636-4993609600*n+
145299105/2*n^2-455231*n^3+1869/2*n^4)*p6*p2^2+28800*(2615528412-117152658*n+
3580311/2*n^2-12369*n^3+63/2*n^4)*p6*p1^4+6912*(-384749620+15291195*n-851285/4*
n^2+1430*n^3-15/4*n^4)*p5*p1^5+120*(7800-72*n)*p2^3*p1^6-1835650252800*p11*p3+
540*(511920-6480*n)*p2^5*p1^2+450*(-72864+864*n)*p2^4*p1^4+41472*(983985800-\
13986210*n+59010*n^2)*p5^2*p2+41472*(-169496320+2489550*n-11550*n^2)*p5^2*p1^2+
16200*(-137552800+2013560*n-7640*n^2)*p4^2*p2^2+38400*(841972320-11357220*n+
39396*n^2)*p6*p3^2+14400*(-145986876+2384613*n-9261*n^2)*p6*p2^3+960*(304920-\
3045*n+21*n^2)*p6*p1^6+129600*(-6700866480+100249728*n-432528*n^2)*p8*p4+21600*
(22277520-411840*n+2160*n^2)*p8*p1^4+709171200*p7*p2^3*p1+1472256000*p8*p3*p1^3
+81650073600*p7*p4*p3+1410048000*p7*p4*p1^3-7962624000*p7*p3^2*p1-6652108800*p7
*p3*p2^2-116121600*p7*p2^2*p1^3+2488320*p7*p2*p1^5+73837854720*p6*p5*p3+
579679027200*p11*p2*p1+332107776000*p10*p3*p1-49816166400*p10*p2*p1^2+
284891904000*p9*p4*p1+157599129600*p9*p3*p2-28283904000*p9*p3*p1^2-25022131200*
p9*p2^2*p1+2661120000*p9*p2*p1^3+242835148800*p8*p5*p1+137562105600*p8*p4*p2-\
25450848000*p8*p4*p1^2+2157840000*p8*p2^2*p1^2-97200000*p8*p2*p1^4+225043660800
*p7*p6*p1+259200*(-14750106479296+12061874347463/6*n-3788971967729/36*n^2+
68770551649/24*n^3-6677067419/144*n^4+22441753/48*n^5-400673/144*n^6+365/48*n^7
)*p2^2*p1^2-1166400*p4*p2^5-138240*p4*p3*p2*p1^5-129600*p4*p2^3*p1^4-\
957288209641437600*n^6+14669213177593056960*n^5-4008960*p5*p1^7-827929208051280
*n^8+36076279179596040*n^7-9446400*p3^2*p1^6+12351776874840*n^9-127136275200*n^
10+9000*n^13+4147200/11*(-6108102000+147147000*n-648648*n^2)*p11*p1+207360*(-\
6025919900+126671545*n-545545*n^2)*p10*p2+5400*(-3256880+49320*n-280*n^2)*p4^2*
p1^4+2700*(20852784-306288*n+864*n^2)*p4*p2^4+76800*(-155302884+3253140*n-15840
*n^2)*p9*p1^3+12800/3*(-2609280+25920*n)*p3^3*p1^3+4800*(17461680-203328*n)*p3^
2*p2^3+21600*(-18541444236+720319743*n-19924287/2*n^2+58026*n^3-171/2*n^4)*p4*
p2^3+64800*(-20390174720+2505608170/3*n-11385985*n^2+215480/3*n^3-165*n^4)*p4^2
*p1^2+57600*(125038086516-13282920044/3*n+54745330*n^2-867952/3*n^3+362*n^4)*p4
*p3^2+64800*(127861709416-4916888310*n+64237575*n^2-381980*n^3+755*n^4)*p4^2*p2
+11520*(-19760054400+1432533092*n-158063449/4*n^2+1097141/2*n^3-16051/4*n^4+25/
2*n^5)*p3*p1^5+21600*(-21050424832+1529287987*n-87207177/2*n^2+3857603/6*n^3-\
10107/2*n^4+103/6*n^5)*p2^2*p1^4+2880*(2906112360-397218505/2*n+63367289/12*n^2
-861311/12*n^3+6175/12*n^4-19/12*n^5)*p2*p1^6+115200*(-891832836240+69885496754
*n-1989848273*n^2+27768398*n^3-206445*n^4+670*n^5)*p3^2*p1^2+115200*(
5849699141640-447310337272*n+36265860602/3*n^2-488310437/3*n^3+3551320/3*n^4-\
11389/3*n^5)*p3^2*p2+1920/7*(-5756520+147084*n-924*n^2)*p3*p1^7+25600*(-\
18864934920+671569200*n-8238960*n^2+38160*n^3)*p3^3*p1+103680*(-155191820+
2320020*n-9934*n^2)*p5*p4*p2*p1+115200*(-148077552+2226462*n-8526*n^2)*p6*p3*p2
*p1+69120*(22530236-327240*n+1200*n^2)*p5*p3*p2*p1^2+43200*(125224171672-\
9990104501*n+299548497*n^2-54083743/12*n^3+149623/4*n^4-1913/12*n^5+1/4*n^6)*p4
*p1^4+43200*(20861344-289728*n+824*n^2)*p4*p3*p2^2*p1+43200*(141929142432-\
20918470631/2*n+1199173797/4*n^2-17747471/4*n^3+140619/4*n^4-483/4*n^5)*p2^3*p1
^2+28800*(-3238432+44944*n-160*n^2)*p4*p3*p2*p1^3+120494407680*p7*p5*p2+230400*
(-407836210329240+72380438951069*n-26761478016791/6*n^2+377356417307/3*n^3-\
22635472417/12*n^4+207081227/12*n^5-1130569/12*n^6+2885/12*n^7)*p3^2-\
21797683200*p7*p5*p1^2+86400*(2361183534368-918207698443/3*n+187828311893/12*n^
2-1698173327/4*n^3+331094339/48*n^4-1113645/16*n^5+19721/48*n^6-53/48*n^7)*p2*
p1^4+86400*(90931573800000-13007940706014*n+2724495783939/4*n^2-35941183399/2*n
^3+4482943733/16*n^4-43820857/16*n^5+255103/16*n^6-687/16*n^7)*p2^3+5760*(-\
368643939600+90060148315/2*n-26329123807/12*n^2+1365771175/24*n^3-42132829/48*n
^4+396101/48*n^5-2119/48*n^6+5/48*n^7)*p1^6+1036800*(3172570647726480-\
1379540700740650*n+9595075336365161/45*n^2-925506793761463/60*n^3+
41831911229479/72*n^4-1749939312265/144*n^5+217752074513/1440*n^6-860564039/720
*n^7+423449/72*n^8-275/18*n^9+1/96*n^10)*p4+1382400*(-1209475393393680+
1233081364955384/3*n-151547638064671/3*n^2+47973668241779/16*n^3-3115352131887/
32*n^4+45075508225/24*n^5-1102895435/48*n^6+8791489/48*n^7-28671/32*n^8+25/12*n
^9)*p3*p1+518400*(-1524042213032640+503163141214656*n-2653964680406597/45*n^2+
78608665998103/24*n^3-3543668121245/36*n^4+513244006379/288*n^5-15292788313/720
*n^6+6093337/36*n^7-120631/144*n^8+569/288*n^9)*p2^2+1036800*(347123567762832-\
476182784950641/5*n+703851712554881/72*n^2-36445614304501/72*n^3+483768409589/
32*n^4-102118181843/360*n^5+42327931/12*n^6-4194533/144*n^7+42583/288*n^8-17/48
*n^9)*p2*p1^2+2073600*(-990407637616320+1335471535418433/2*n-6281830463801837/
40*n^2+1584660276685517/90*n^3-17308557880203/16*n^4+11446262548865/288*n^5-\
5377512215167/5760*n^6+85181285587/5760*n^7-93741073/576*n^8+705851/576*n^9-\
6659/1152*n^10+5/384*n^11)*p1^2+57600*(-7184525040+94862628*n-411012*n^2)*p6^2+
345600*(35850054240-892631376*n+3787056*n^2)*p12+129600*(-31746647572640+
2989478599114*n-274277320372/3*n^2+7324607335/6*n^3-18186415/2*n^4+214265/6*n^5
-295/6*n^6)*p4^2+518400*(89159084894880-11296297922382*n+481563458320*n^2-\
17597113937/2*n^3+152108911/2*n^4-637135/2*n^5+1005/2*n^6)*p8-7315660800*p5^2*
p3*p1-40320*p6*p2*p1^6+4233600*p6*p2^2*p1^4-49766400*p7*p3*p1^4-59875200*p6*p2^
3*p1^2+90*(-3045600+38880*n)*p2^6+967680*p6*p3*p1^5+414720*(2972566997400-\
572940893525/3*n+3606552950*n^2-72962890/3*n^3+55055*n^4)*p10+6400/3*(-99100800
+1036800*n)*p3^4+82944*(-837549728400+110449271345/3*n-906347435/2*n^2+8022805/
3*n^3-11865/2*n^4)*p5^2-52012800*p6*p4*p1^4+1080*(2774768400-106597800*n+
1456380*n^2-7380*n^3)*p2^5+172800*(-71495684205120+51324277212428/3*n-\
19128270582389/12*n^2+1869206450587/24*n^3-36340018219/16*n^4+4091533283/96*n^5
-25656893/48*n^6+35449/8*n^7-535/24*n^8+5/96*n^9)*p1^4-6372172800*p6*p4*p2^2+
691200*(961668742474440-1117367442804459/5*n+18371118839101*n^2-5546640506253/8
*n^3+212274187181/16*n^4-693067431/5*n^5+6648481/8*n^6-21147/8*n^7+49/16*n^8)*
p6+720/7*(-355553856+20865992*n-437850*n^2+4032*n^3-14*n^4)*p1^8+10800*(-\
912389919072+65896989894*n-1831386387*n^2+26363433*n^3-204705*n^4+693*n^5)*p2^4
+81648000*p6*p2^4-2991582720*p5^2*p2^2+35739325440*p5^2*p4+172800*(-19427265612
+746702866*n-9945533*n^2+56400*n^3-83*n^4)*p4*p3*p2*p1+37848384000*p6*p4^2+
1199923200*p6*p5*p1^3+658022400*p6*p3^2*p1^2-15628032000*p6*p4*p3*p1+10800*(
885687600-12222600*n+51000*n^2)*p4^3-3683635200*p6*p3^2*p2+2073600*(
2007200413753920-9355162777053642/5*n+35237448897043837/60*n^2-\
60300730168772783/720*n^3+8876991670437943/1440*n^4-726415853381173/2880*n^5+
3906515970037/640*n^6-180585348337/1920*n^7+316368121/320*n^8-2053615/288*n^9+
37537/1152*n^10-83/1152*n^11)*p2-3954096000*p8*p2^3+44831232000*p8*p3^2-\
1164931891200*p8*p6-22809600*p9*p1^5-1281169612800*p9*p5+1037836800*p10*p1^4+
138032294400*p10*p2^2-6751309824000*p13*p1-1517317401600*p10*p4-30191616000*p11
*p1^3+577414656000*p12*p1^2-3195027763200*p12*p2+259200*p8*p1^6-10363852800*p6^
2*p1^2+57712435200*p6^2*p2+513925092959872440960*n^3-122632944835174571520*n^4+
1088640000*p5^2*p2*p1^2-4093200*n^12+904102200*n^11+34560/7*(-2848440+43092*n-\
252*n^2)*p7*p1^5+153600*(-6123555900+102499848*n-420948*n^2)*p9*p3+207360*(
1001040040-22807785*n+105105*n^2)*p10*p1^2+64800*(964473600-17649216*n+74880*n^
2)*p8*p2^2+829440/7*(-7055747160+96184032*n-416472*n^2)*p7*p5+1440*(51157200-\
5282225/3*n+43697/2*n^2-442/3*n^3+1/2*n^4)*p4*p1^6+259200*(-628604081952+
32219987572*n-517524954*n^2+3381062*n^3-7560*n^4)*p8*p2+460800*(-546424360020+
32270969610*n-2356664013/4*n^2+4036923*n^3-37719/4*n^4)*p9*p1+259200*(
96913102440-5257392828*n+91607748*n^2-634770*n^3+1530*n^4)*p8*p1^2+1382400/7*(-\
727158005112+33456773336*n-454554198*n^2+2720368*n^3-5586*n^4)*p7*p3+691200/7*(
-16411708488+813423380*n-13364253*n^2+93016*n^3-231*n^4)*p7*p1^3+172800*(-\
809164257132+35968284562*n-911717877/2*n^2+2721593*n^3-12033/2*n^4)*p6*p4+
829440*(-264749890329540+152485785876725/3*n-21249706471981/6*n^2+1890986444025
/16*n^3-203475783373/96*n^4+175156941/8*n^5-6376139/48*n^6+20455/48*n^7-15/32*n
^8)*p5*p1+9600*(-409658748+14872392*n-183864*n^2+840*n^3)*p3^2*p1^4+28800*(-\
17939957660+1955894792/3*n-8279264*n^2+118576/3*n^3)*p3^2*p2^2+518400*(-\
368164145693344+991229102067323/15*n-25030694312755/6*n^2+737593358771/6*n^3-\
23525181251/12*n^4+4551595967/240*n^5-5316991/48*n^6+5351/16*n^7-13/48*n^8)*p4*
p2+518400*(63215101835480-62001858240493/6*n+11345845196539/18*n^2-458247818981
/24*n^3+11696055125/36*n^4-159374033/48*n^5+2914811/144*n^6-3085/48*n^7+1/16*n^
8)*p4*p1^2+345600*(-25180090370820+2488293524990*n-334784298667/4*n^2+
10293948245/8*n^3-83609561/8*n^4+342363/8*n^5-497/8*n^6)*p6*p2+4147200/7*(-\
19185851223000+2117392410378*n-163333307025/2*n^2+1424423371*n^3-24642051/2*n^4
+52577*n^5-84*n^6)*p7*p1+276480*(-29959699137060+2839570721017*n-529019929181/6
*n^2+14469405511/12*n^3-108118223/12*n^4+411125/12*n^5-165/4*n^6)*p5*p3+129600*
(5518791511920-440450405352*n+75689553301/6*n^2-2158561453/12*n^3+5640101/4*n^4
-65135/12*n^5+67/12*n^6)*p4*p2^2+138240*(-722048207796+63634228637*n-\
24767214055/12*n^2+782137283/24*n^3-6640741/24*n^4+28645/24*n^5-15/8*n^6)*p5*p1
^3+5400*(-450127104+17680176*n-245628*n^2+1260*n^3)*p2^4*p1^2+3600*(65150664-\
2518260*n+34410*n^2-174*n^3)*p2^3*p1^4+360/7*(707840-17248*n+112*n^2)*p2*p1^8+
720*(-7933760+831488/3*n-3386*n^2+46/3*n^3)*p2^2*p1^6+345600*(3852578584008-\
377844659444*n+53299869091/4*n^2-1769323633/8*n^3+15221185/8*n^4-65695/8*n^5+
105/8*n^6)*p6*p1^2+230400*(-13135049946576+1877924130881*n-1234032604351/12*n^2
+69301143337/24*n^3-282708941/6*n^4+1411202/3*n^5-32887/12*n^6+175/24*n^7)*p3*
p1^3-564948172800*p7^2-930619689198299251200*n^2
[5, 3, 2, 2, 2, 2, 2, 2, 2, 2]
-11976895866791116800000*n+399360*p3*p1^9-1138720923648000*p14-7680*p2*p1^10+
2211840*p7*p1^7+496923033600*p6^2*p1^2-1824579993600*p6^2*p2-93671424000*p8*p3*
p1^3-26880*p6*p1^8-1073810304000*p6*p4^2+20643840000*p5*p3^3+93640458240*p5^2*
p2^2+36408960000*p4^3*p2+2167603200*p5^2*p1^4+1433600*(-33762960+532266*n-2058*
n^2)*p6*p3*p1^3+5160960*(-1072897644+15027516*n-62580*n^2)*p6*p5*p1+3225600*(-\
800048172+11298273*n-44205*n^2)*p6*p4*p2+3225600*(194083176-2929983*n+12159*n^2
)*p6*p4*p1^2+3225600*p4^2*p1^6+3686400*(183501648-2977296*n+11760*n^2)*p7*p3*p1
^2+2764800*(154918536-2712384*n+11088*n^2)*p7*p2^2*p1+1843200*(-34983504+662088
*n-2856*n^2)*p7*p2*p1^3+6451200*(-964877760+15950880*n-63360*n^2)*p8*p3*p1+
4838400*(186477588-3700224*n+15840*n^2)*p8*p2*p1^2+5529600*(-1033626432+
15362808*n-63240*n^2)*p7*p4*p1+3686400*(-769001040+11618400*n-43680*n^2)*p7*p3*
p2+8601600*(-964678572+19805643*n-83655*n^2)*p9*p2*p1+4300800*(-141338636964+
68795014063/6*n-4154784371/12*n^2+5094495*n^3-460429/12*n^4+719/6*n^5)*p3*p2*p1
^3+26880*(171666-2434*n+10*n^2)*p4*p2*p1^6+1433600/3*(-17708400+187200*n)*p3^3*
p2*p1+537600*(3523280-38400*n)*p3^2*p2^2*p1^2+179200*(-757680+8160*n)*p3^2*p2*
p1^4+134400*(3059640-33696*n)*p3*p2^4*p1+179200*(-671508+7344*n)*p3*p2^3*p1^3+
53760*(134600-1392*n)*p3*p2^2*p1^5+5120*(-23124+192*n)*p3*p2*p1^7+11059200*(-\
95681914944+4762806268*n-74901705*n^2+475034*n^3-1029*n^4)*p7*p2*p1+8601600*(-\
106978358172+4820676455*n-130766391/2*n^2+379057*n^3-1449/2*n^4)*p6*p3*p1+
6451200*(18598655712-1772736343/2*n+54663525/4*n^2-172235/2*n^3+735/4*n^4)*p6*
p2*p1^2+7741440*(-115339717080+15123017633/3*n-129725677/2*n^2+1123963/3*n^3-\
1507/2*n^4)*p5*p4*p1+5160960*(-96857415480+3808160384*n-49021075*n^2+268406*n^3
-435*n^4)*p5*p3*p2+5160960*(20066286120-2624061266/3*n+11915042*n^2-204460/3*n^
3+120*n^4)*p5*p3*p1^2+3870720*(17276649700-731077071*n+20703795/2*n^2-60975*n^3
+225/2*n^4)*p5*p2^2*p1+2580480*(-3504268308+159474692*n-2397034*n^2+14768*n^3-\
30*n^4)*p5*p2*p1^3+1612800*(132350640-1728200*n+5480*n^2)*p4^2*p3*p1+1209600*(-\
27318740+393020*n-1420*n^2)*p4^2*p2*p1^2+1075200*(99328440-1191304*n+2440*n^2)*
p4*p3^2*p2+1075200*(-23770040+298088*n-680*n^2)*p4*p3^2*p1^2+107520*(-990380+
13724*n-44*n^2)*p4*p3*p1^5+403200*(4104846-57186*n+162*n^2)*p4*p2^3*p1^2+201600
*(-885578+12714*n-42*n^2)*p4*p2^2*p1^4+645120*(5199144-82359*n+315*n^2)*p5*p2^2
*p1^3+129024*(-1078400+17535*n-75*n^2)*p5*p2*p1^5+1290240*(-35270388+539009*n-\
2237*n^2)*p5*p4*p1^3+1720320*(131264640-1715100*n+5100*n^2)*p5*p3^2*p1+1290240*
(112922880-1540602*n+4770*n^2)*p5*p3*p2^2+430080*(5952768-89730*n+330*n^2)*p5*
p3*p1^4+645120*(-23067720+347571*n-1215*n^2)*p5*p2^3*p1+2580480*(-708041880+
9140054*n-31694*n^2)*p5*p4*p3+1612800*(-28943796+486297*n-1953*n^2)*p6*p2^2*p1^
2+537600*(6305880-111951*n+483*n^2)*p6*p2*p1^4+30965760000*p4^2*p3^2+12042240*
p4*p3*p2*p1^5-245145600*p4*p3*p2^2*p1^3+4412620800*p5*p3*p2^2*p1^2+7656284160*
p5*p4*p2*p1^3-43475927040*p5*p4*p2^2*p1-61735403520*p5*p4*p3*p1^2+225306869760*
p5*p4*p3*p2+878529576960*p6*p5*p2*p1-114573312000*p7*p3*p2*p1^2+948813004800*p7
*p4*p2*p1+928972800*p4*p3*p2^3*p1+1978368000*p4*p3^2*p2*p1^2-24256512000*p4^2*
p3*p2*p1-361267200*p5*p3*p2*p1^4-23740416000*p5*p3^2*p2*p1+7646822400*p6*p3*p2*
p1^3-45248716800*p6*p3*p2^2*p1+556170854400*p6*p4*p3*p1-105196492800*p6*p4*p2*
p1^2+1098510336000*p8*p3*p2*p1+25804800*(-58550108007720+27730509962174/3*n-\
9626745340997/18*n^2+15131107274*n^3-8611216771/36*n^4+9116365/4*n^5-451879/36*
n^6+373/12*n^7)*p3*p2*p1+2150400*(-3630158208+153170045*n-2081865*n^2+11384*n^3
-16*n^4)*p4*p3*p1^3+2419200*(-3159119708+130112947*n-1812418*n^2+10126*n^3-15*n
^4)*p4*p2^2*p1^2+806400*(633159216-82360345/3*n+397949*n^2-6926/3*n^3+4*n^4)*p4
*p2*p1^4+2150400*(-3099457600+359317612/3*n-1529612*n^2+20840/3*n^3)*p3^2*p2*p1
^2+1075200*(-2675916600+102095145*n-1317177*n^2+6012*n^3)*p3*p2^3*p1+1075200*(
551652456-22007517*n+291217*n^2-1336*n^3)*p3*p2^2*p1^3+215040*(-107905480+
13213387/3*n-58505*n^2+788/3*n^3)*p3*p2*p1^5+15482880*(-3809848168428+
2108467412933/6*n-11391887419*n^2+4125536437/24*n^3-10885057/8*n^4+42317/8*n^5-\
55/8*n^6)*p5*p2*p1+12902400*(-4304176242288+2283960027079/6*n-138267230347/12*n
^2+952881547/6*n^3-14016827/12*n^4+12287/3*n^5-7/2*n^6)*p4*p3*p1+9676800*(
757156394754-260162184021/4*n+16216342929/8*n^2-363363551/12*n^3+5708735/24*n^4
-5315/6*n^5+11/12*n^6)*p4*p2*p1^2+6451200*(757637721888-352229121635/6*n+
6678334717/4*n^2-70382870/3*n^3+687915/4*n^4-1063/2*n^5)*p3*p2^2*p1-2830464000*
p4^2*p2^3+806400*(-40443876+883080*n-3960*n^2)*p8*p1^4+4423680*(5659148880-\
75765012*n+311172*n^2)*p7*p5+2419200*(-804236400+14503104*n-59400*n^2)*p8*p2^2+
4838400*(5360324310-78334278*n+318318*n^2)*p8*p4+2867200*(215119476-4979403*n+
21879*n^2)*p9*p1^3+154828800/11*(5627162112-138975408*n+583440*n^2)*p11*p1+
7741440*(4881410820-102501685*n+425425*n^2)*p10*p2+7741440*(-1111361680+
26781755*n-115115*n^2)*p10*p1^2+5734400*(4945014360-82643418*n+326898*n^2)*p9*
p3+32659200*p4*p2^5+35840/3*(145440-1440*n)*p3^2*p1^6+20160*(-591840+6480*n)*p2
^5*p1^2+16800*(122904-1296*n)*p2^4*p1^4+4480*(-22860+216*n)*p2^3*p1^6+480*(3524
-24*n)*p2^2*p1^8+17203200*(458315397540-28064201022*n+520522002*n^2-3456882*n^3
+7722*n^4)*p9*p1+9676800*(-93646946976+5406268934*n-97673499*n^2+653290*n^3-\
1485*n^4)*p8*p1^2+7372800*(555462740448-25816404468*n+347839386*n^2-2016348*n^3
+3990*n^4)*p7*p3+1075200*(-3637415712+371265433/2*n-12386367/4*n^2+40901/2*n^3-\
189/4*n^4)*p6*p1^4+6144*(194880-2955*n+15*n^2)*p5*p1^7+604800*(114272520-\
1550580*n+5100*n^2)*p4^2*p2^2+201600*(6146820-93740*n+380*n^2)*p4^2*p1^4+100800
*(-17767350+237114*n-594*n^2)*p4*p2^4+1433600/9*(4039200-43200*n)*p3^3*p1^3+
179200*(-15265440+164160*n)*p3^2*p2^3+17447701708800*p7^2+1433600*(-700174440+
9276036*n-30660*n^2)*p6*p3^2+537600*(124278840-1955583*n+7371*n^2)*p6*p2^3+
35840*(-1241604+22281*n-105*n^2)*p6*p1^6-10160640000*p4^3*p1^2+1548288*(-\
811638240+11168820*n-44100*n^2)*p5^2*p2+184320*(7295400-146832*n+672*n^2)*p7*p1
^5+3840*p4*p2*p1^8-3440640000*p4*p3^3*p1+2193408000*p4^2*p3*p1^3-184320*p5*p2*
p1^7-294174720*p7*p2*p1^5-43545600*p4*p2^4*p1^2+7257600*p4*p2^3*p1^4-322560*p4*
p2^2*p1^6-3612672000*p4*p3^2*p2^2-86016000*p4*p3^2*p1^4-5573836800*p5*p3*p2^3+
5160960*p5*p3*p1^6+522547200*p5*p2^4*p1-174182400*p5*p2^3*p1^3+11612160*p5*p2^2
*p1^5+2322432000*p4^2*p2^2*p1^2-201600000*p4^2*p2*p1^4+256319078400*p5*p4^2*p1-\
50721914880*p5^2*p2*p1^2+195185894400*p6*p4*p2^2+4459392000*p6*p4*p1^4+
119820288000*p6*p3^2*p2-31911936000*p6*p3^2*p1^2-174612480*p6*p3*p1^5+
2743372800*p6*p2^3*p1^2-321753600*p6*p2^2*p1^4+8279040*p6*p2*p1^6-2273671249920
*p6*p5*p3-77527941120*p6*p5*p1^3+6735052800*p7*p2^2*p1^3+309657600000*p7*p3^2*
p1+218308608000*p7*p3*p2^2-27172454400*p7*p2^3*p1-100590336000*p8*p2^2*p1^2+
7983360000*p8*p2*p1^4-8459226316800*p7*p6*p1-3781609390080*p7*p5*p2-\
2464962969600*p7*p4*p3+1142578483200*p8*p4*p1^2+2363500339200*p10*p2*p1^2-\
10295341056000*p9*p4*p1-5107079577600*p9*p3*p2+1357951795200*p9*p3*p1^2+
963112550400*p9*p2^2*p1-2667168000*p6*p2^4+3225600*(-2175532106904+
1838493533695/6*n-1225447607687/72*n^2+7921467427/16*n^3-1209103585/144*n^4+
1366775/16*n^5-70417/144*n^6+29/24*n^7)*p2*p1^4+5160960*(693282144804-\
397337947523/6*n+13874162321/6*n^2-305007407/8*n^3+7668415/24*n^4-31255/24*n^5+
15/8*n^6)*p5*p1^3+19353600*(252551067589656-1382851911520559/30*n+
70788361238503/24*n^2-1398801822183/16*n^3+11066805985/8*n^4-3133384213/240*n^5
+1167015/16*n^6-4921/24*n^7+7/48*n^8)*p4*p2+134400*(-97083096+3895578*n-51876*n
^2+234*n^3)*p2^3*p1^4+26880*(18289440-727896*n+9400*n^2-40*n^3)*p2^2*p1^6+1920*
(-3163048+352396/3*n-1334*n^2+14/3*n^3)*p2*p1^8+22118400*(14682427124904-\
1680862418179*n+133847636159/2*n^2-1182893463*n^3+20059699/2*n^4-41126*n^5+63*n
^6)*p7*p1+12902400*(18215865212292-3657073899339/2*n+123971234527/2*n^2-\
7564067105/8*n^3+59753211/8*n^4-234451/8*n^5+329/8*n^6)*p6*p2+12902400*(-\
3268264265112+679392315623/2*n-12627497316*n^2+1725880639/8*n^3-14602469/8*n^4+
60165/8*n^5-91/8*n^6)*p6*p1^2+10321920*(21637874682600-6245574121201/3*n+
195190830193/3*n^2-3522565657/4*n^3+76785473/12*n^4-278225/12*n^5+105/4*n^6)*p5
*p3+2419200*(-100404819144+3859194670*n-48745740*n^2+268650*n^3-460*n^4)*p4^2*
p2+2419200*(20890609168-894701740*n+11928230*n^2-68980*n^3+130*n^4)*p4^2*p1^2+
2150400*(-98264658744+3492106600*n-42116964*n^2+208584*n^3-220*n^4)*p4*p3^2+
806400*(15048510552-580417137*n+7712325*n^2-41382*n^3+54*n^4)*p4*p2^3+53760*(-\
120241260+5319741*n-78246*n^2+466*n^3-n^4)*p4*p1^6+2867200/3*(17264664000-\
626558460*n+7597260*n^2-33600*n^3)*p3^3*p1+358400*(625604160-25473628*n+333660*
n^2-1520*n^3)*p3^2*p1^4-122880*p4*p3*p1^7+2064384000*p5*p3^2*p1^3-188375040*p5*
p4*p1^5+267048714240*p5^2*p3*p1+4644864000*p7*p3*p1^4-83143065600*p7*p4*p1^3+
1028558684160*p7*p5*p1^2-11842795034271592362240*n^3+2851255318855852746880*n^4
+21290807259022434278400*n^2-344159346507080520640*n^5+22623515132529175200*n^6
-855088732569375360*n^7+19527178619673120*n^8+2870796908000*n^10-19575248000*n^
11+83378400*n^12-168000*n^13+1548288*(197823360-2903460*n+12180*n^2)*p5^2*p1^2+
3225600*(-91271219424+7938681345/2*n-226783095/4*n^2+680421/2*n^3-2709/4*n^4)*
p6*p2^2+6451200*(616814335368-55194164879/2*n+1371250293/4*n^2-3901639/2*n^3+
16023/4*n^4)*p6*p4+3686400*(18728602992-1018106772*n+17751957*n^2-118650*n^3+
273*n^4)*p7*p1^3+9676800*(481404408408-24943245888*n+398057715*n^2-2516712*n^3+
5445*n^4)*p8*p2+10240*(19720680-788117*n+9897*n^2-40*n^3)*p3*p1^7+201600*(
485011800-19020294*n+251694*n^2-1152*n^3)*p2^4*p1^2+1075200*(14619351120-\
530540100*n+6539332*n^2-29200*n^3)*p3^2*p2^2+258048*(679051980-97149815/3*n+
1023445/2*n^2-9835/3*n^3+15/2*n^4)*p5*p1^5+12902400*(-28109701620+701249796*n-\
2872116*n^2)*p12+19353600*(-47885585669432+123303004370624/15*n-12666249296869/
24*n^2+802864407875/48*n^3-4669813569/16*n^4+236786897/80*n^5-834017/48*n^6+409
/8*n^7-1/24*n^8)*p4*p1^2+30965760*(186989379303540-222181996198933/6*n+
95970820228547/36*n^2-2196820462277/24*n^3+239518502867/144*n^4-407118785/24*n^
5+3582701/36*n^6-3635/12*n^7+5/16*n^8)*p5*p1+107520*(-4610187288+4412616611/12*
n-269444911/24*n^2+335051/2*n^3-29681/24*n^4+43/12*n^5)*p2*p1^6+51609600*(
801289865008584-1672483445797207/6*n+2533656673857269/72*n^2-77375192042599/36*
n^3+20623402466413/288*n^4-201746354041/144*n^5+2453769335/144*n^6-1193920/9*n^
7+179153/288*n^8-65/48*n^9)*p3*p1+38707200*(-240110561757960+683755758922263/10
*n-5272500593379313/720*n^2+28534158239557/72*n^3-7086662845639/576*n^4+
340332839023/1440*n^5-4237288249/1440*n^6+428129/18*n^7-66299/576*n^8+73/288*n^
9)*p2*p1^2+8601600*(10881922409784-1663629489939*n+585653992487/6*n^2-\
34945292791/12*n^3+147986539/3*n^4-1484731/3*n^5+16889/6*n^6-85/12*n^7)*p3*p1^3
+9676800*(11740175126392-1683715027580*n+2216419277881/24*n^2-124514851703/48*n
^3+675456459/16*n^4-20005711/48*n^5+113101/48*n^6-47/8*n^7)*p2^2*p1^2+4300800*(
145824672-2164806*n+7854*n^2)*p6*p3*p2*p1+1075200*(4701192-63484*n+172*n^2)*p4*
p3*p2*p1^3+4838400*(22916123414580-26267306761573/12*n+537768403027/8*n^2-\
2647664480/3*n^3+50590145/8*n^4-92385/4*n^5+55/2*n^6)*p4^2+716800/9*(85536000-\
864000*n)*p3^4+403200*(-706247850+9091950*n-32550*n^2)*p4^3+6451200*(
17662543944-2063900155/3*n+8928467*n^2-140864/3*n^3+58*n^4)*p4*p3*p2*p1+
15482880*(-2208619413000+287053264355/2*n-10819307785/4*n^2+35464715/2*n^3-\
155155/4*n^4)*p10+2150400*(5766946416-74936484*n+308700*n^2)*p6^2+215040*(
404913586680-55845179981*n+74341616953/24*n^2-4378580779/48*n^3+75401909/48*n^4
-770011/48*n^5+4313/48*n^6-5/24*n^7)*p1^6+403200*(702416111160-205318288611/4*n
+11347306479/8*n^2-39663351/2*n^3+1163313/8*n^4-1791/4*n^5)*p2^4+128/3*(475560-\
14130*n+90*n^2)*p1^10+25804800*(-645778230167070+3045532399024929/20*n-\
608691287070127/48*n^2+7716422284613/16*n^3-1766201023741/192*n^4+1885596041/20
*n^5-52547537/96*n^6+26691/16*n^7-119/64*n^8)*p6+6451200*(53539950358944-\
408186706887983/30*n+195433096012159/144*n^2-641618795740/9*n^3+1283720117825/
576*n^4-63741362281/1440*n^5+165680035/288*n^6-347027/72*n^7+13693/576*n^8-5/96
*n^9)*p1^4+77414400*(-1252031439776040+41230636513603116/35*n-\
134656670765728433/360*n^2+46646227147201951/864*n^3-642731553634077/160*n^4+
953439252590509/5760*n^5-2563418049993/640*n^6+82069834891/1344*n^7-1807188809/
2880*n^8+15065819/3456*n^9-7223/384*n^10+11/288*n^11)*p2-162363801600*p9*p2*p1^
3+3360*(2648700-29160*n)*p2^6-9012894105600*p8*p5*p1-4222878105600*p8*p4*p2+
19353600*(-62827860235140+32308578576373/4*n-2779919412545/8*n^2+12656177127/2*
n^3-427685599/8*n^4+865205/4*n^5-330*n^6)*p8+3096576*(638615300400-28272741980*
n+341497530*n^2-1926340*n^3+3990*n^4)*p5^2-22172722790400*p11*p2*p1-\
286738381685760*n^9+960*(-27278+314*n-2*n^2)*p4*p1^8+4838400*(-4111131158346+
1332042083987/4*n-76472874991/8*n^2+534836709/4*n^3-8024783/8*n^4+3581*n^5-13/4
*n^6)*p4*p2^2+4300800*(-4354007225040+1014441984995/3*n-55064430439/6*n^2+
121732130*n^3-5127161/6*n^4+7735/3*n^5)*p3^2*p2+4300800*(802329490944-\
199867340069/3*n+11858749097/6*n^2-83179226/3*n^3+1210375/6*n^4-1865/3*n^5)*p3^
2*p1^2+1612800*(-139184070078+147982764893/12*n-9761623433/24*n^2+77623355/12*n
^3-1271209/24*n^4+617/3*n^5-1/4*n^6)*p4*p1^4+806400*(25015287588-23751171685/12
*n+478265243/8*n^2-5355709/6*n^3+54069/8*n^4-83/4*n^5)*p2^2*p1^4+1612800*(-\
133491837372+41018149533/4*n-2389425081/8*n^2+8688147/2*n^3-260919/8*n^4+405/4*
n^5)*p2^3*p1^2+430080*(26104862520-12992068987/6*n+813107287/12*n^2-3087764/3*n
^3+93953/12*n^4-145/6*n^5)*p3*p1^5+2580480*(-26759144+385122*n-1290*n^2)*p5*p3*
p2*p1^2+1612800*(-20589692+266748*n-636*n^2)*p4*p3*p2^2*p1+3870720*(150209516-\
2154309*n+8265*n^2)*p5*p4*p2*p1-1024842792960*p5^2*p4-106444800*p8*p1^6+
129330432000*p8*p2^3+35886161203200*p8*p6-1447649280000*p8*p3^2-96864768000*p10
*p1^4-4475152281600*p10*p2^2+3690086400*p9*p1^5+39144436531200*p9*p5+
45714635366400*p10*p4+1916161228800*p11*p1^3+58032311500800*p11*p3-\
27305297510400*p12*p1^2+101419676467200*p12*p2+252048900096000*p13*p1+77414400*
(627736589643240-12941495762746271/30*n+18716421411736927/180*n^2-\
17302490580774701/1440*n^3+110103644824225/144*n^4-167839397325253/5760*n^5+
4067916718331/5760*n^6-5466245213/480*n^7+24044879/192*n^8-1063973/1152*n^9+
4799/1152*n^10-5/576*n^11)*p1^2+19353600*(998174480374260-1004407850272462/3*n+
9562928371059191/240*n^2-53778240821321/24*n^3+4337552710263/64*n^4-39100002215
/32*n^5+2288208301/160*n^6-880549/8*n^7+98873/192*n^8-107/96*n^9)*p2^2+3225600*
(-64056118801704+18668589727707/2*n-3963995859279/8*n^2+209838143943/16*n^3-\
3228228333/16*n^4+30542883/16*n^5-168021/16*n^6+207/8*n^7)*p2^3+8601600*(
279571671720000-50441464014169*n+3149373455095*n^2-1071717881185/12*n^3+
5318101167/4*n^4-142935313/12*n^5+250565/4*n^6-905/6*n^7)*p3^2-12708657561600*
p10*p3*p1+3840*(829098144-780486161/12*n+46430309/24*n^2-163909/6*n^3+4315/24*n
^4-5/12*n^5)*p1^8+38707200*(-2044444700688390+3601507855490507/4*n-\
12691260196208687/90*n^2+1238432312130251/120*n^3-28179697463311/72*n^4+
1567692558563/192*n^5-287889352771/2880*n^6+122758277/160*n^7-115463/32*n^8+
1679/192*n^9-1/192*n^10)*p4+40320*(-2311410600+87094440*n-1126170*n^2+5130*n^3)
*p2^5
[5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
284952208078385971200000*n+1161216000*(-208199132536+18794489029*n-2451770777/4
*n^2+37810119/4*n^3-149919/2*n^4+1085/4*n^5-1/4*n^6)*p4*p2*p1^2+774144000*(-\
200536758680+32365099739/2*n-1907394473/4*n^2+13692913/2*n^3-200871/4*n^4+150*n
^5)*p3*p2^2*p1+129024000*(-206652550+8720334*n-118023*n^2+525*n^3)*p3*p2^2*p1^3
+25804800*(50555510-2276650*n+32263*n^2-145*n^3)*p3*p2*p1^5+3096576000*(
13667030052130-13385365986173/6*n+1604616203293/12*n^2-46971660877/12*n^3+
1527064457/24*n^4-14784551/24*n^5+81269/24*n^6-65/8*n^7)*p3*p2*p1+1857945600*(
961373509104-184014722269/2*n+6176371899/2*n^2-383099163/8*n^3+3070389/8*n^4-\
11841/8*n^5+15/8*n^6)*p5*p2*p1+1548288000*(1082266023040-594667388755/6*n+
37119015757/12*n^2-130388471/3*n^3+3843673/12*n^4-6559/6*n^5+5/6*n^6)*p4*p3*p1+
36439069556736000*p14+516096000*(42871189884-22221014819/6*n+473845191/4*n^2-\
5451635/3*n^3+55721/4*n^4-85/2*n^5)*p3*p2*p1^3+51609600*(-2811240+42750*n-150*n
^2)*p5*p3*p1^4+154828800*(-33511320+440910*n-1350*n^2)*p5*p3*p2^2+193536000*(
10772496-184464*n+756*n^2)*p6*p2^2*p1^2+64512000*(-3037440+57708*n-252*n^2)*p6*
p2*p1^4+309657600*(191752680-2355042*n+7770*n^2)*p5*p4*p3+619315200*(315085428-\
4274046*n+17514*n^2)*p6*p5*p1+387072000*(221041296-3017448*n+11592*n^2)*p6*p4*
p2+387072000*(-65250192+958020*n-3864*n^2)*p6*p4*p1^2+172032000*(13437900-\
215544*n+840*n^2)*p6*p3*p1^3+580608000*(-64710360+1339470*n-5940*n^2)*p8*p2*p1^
2+663552000*(304135068-4432348*n+18132*n^2)*p7*p4*p1+442368000*(215928240-\
3261960*n+12600*n^2)*p7*p3*p2+442368000*(-62716080+1036200*n-4200*n^2)*p7*p3*p1
^2+331776000*(-50129460+895644*n-3780*n^2)*p7*p2^2*p1+221184000*(14153676-\
283212*n+1260*n^2)*p7*p2*p1^3+619315200*(-6131539920+278982877*n-7744785/2*n^2+
22025*n^3-75/2*n^4)*p5*p3*p1^2+464486400*(-5031275010+441334863/2*n-12709737/4*
n^2+37161/2*n^3-135/4*n^4)*p5*p2^2*p1+309657600*(1218357618-118051641/2*n+
3697035/4*n^2-11451/2*n^3+45/4*n^4)*p5*p2*p1^3+258048000*(1254817866-167833964/
3*n+775340*n^2-12403/3*n^3+5*n^4)*p4*p3*p1^3+290304000*(1034197848-88913733/2*n
+1254579/2*n^2-6783/2*n^3+9/2*n^4)*p4*p2^2*p1^2+96768000*(-252532552+23618539/2
*n-357023/2*n^2+2027/2*n^3-3/2*n^4)*p4*p2*p1^4+258048000*(1012147400-40808290*n
+528640*n^2-2350*n^3)*p3^2*p2*p1^2+129024000*(829513710-32652090*n+422091*n^2-\
1845*n^3)*p3*p2^3*p1+77414400*(7906410-116397*n+405*n^2)*p5*p2^3*p1+15482880*(
633090-11061*n+45*n^2)*p5*p2*p1^5+193536000*(-40470650+494340*n-1400*n^2)*p4^2*
p3*p1+145152000*(9750600-131250*n+420*n^2)*p4^2*p2*p1^2+129024000*(-28969400+
325920*n-600*n^2)*p4*p3^2*p2+129024000*(8499400-100840*n+200*n^2)*p4*p3^2*p1^2+
24192000*(454992-6354*n+18*n^2)*p4*p2^2*p1^4+3225600*(-126056+1884*n-6*n^2)*p4*
p2*p1^6+57344000*(5993000-60000*n)*p3^3*p2*p1+21504000*(395000-4200*n)*p3^2*p2*
p1^4+16128000*(-1124010+11340*n)*p3*p2^4*p1+6451200*(-86970+900*n)*p3*p2^2*p1^5
+614400*(23390-240*n)*p3*p2*p1^7+1327104000*(26369292588-1361343842*n+22057911*
n^2-142536*n^3+315*n^4)*p7*p2*p1+1032192000*(292248242-6180603*n+27027*n^2)*p9*
p2*p1+774144000*(287850750-4833180*n+19800*n^2)*p8*p3*p1+516096000*(-\
220150896000+19196639660*n-1784987648/3*n^2+25778965/3*n^3-189640/3*n^4+575/3*n
^5)*p3^2*p1^2+516096000*(1052994983520-252050310520/3*n+2339760810*n^2-94528622
/3*n^3+220970*n^4-650*n^5)*p3^2*p2+193536000*(43816333360-12542870648/3*n+
1781223427/12*n^2-7533110/3*n^3+63679/3*n^4-242/3*n^5+1/12*n^6)*p4*p1^4+
580608000*(997985766912-83161496750*n+9805472373/4*n^2-69676385/2*n^3+260742*n^
4-1803/2*n^5+3/4*n^6)*p4*p2^2+1238630400*(-5046355089600+495372493402*n-\
31541266899/2*n^2+867387013/4*n^3-6330305/4*n^4+22675/4*n^5-25/4*n^6)*p5*p3+
619315200*(-197583228456+40085754173/2*n-743283414*n^2+103258553/8*n^3-891883/8
*n^4+3635/8*n^5-5/8*n^6)*p5*p1^3+5573836800000*p7*p3*p2*p1^2-36094574592000*p7*
p4*p2*p1+16128000*(42217848-3627135/2*n+24705*n^2-207/2*n^3)*p2^3*p1^4-\
45984153600000*p8*p3*p2*p1+3225600*(-10243480+918513/2*n-6378*n^2+51/2*n^3)*p2^
2*p1^6-774144000*p4*p3*p2*p1^5+11612160000*p4*p3*p2^2*p1^3+230400*(2440328-\
224591/2*n+1555*n^2-11/2*n^3)*p2*p1^8-34836480000*p4*p3*p2^3*p1+2654208000*(-\
3557227657984+420810484947*n-103850062993/6*n^2+629363409/2*n^3-8176723/3*n^4+
22633/2*n^5-35/2*n^6)*p7*p1+1548288000*(-4265245425408+438054583932*n-\
30394148757/2*n^2+236881407*n^3-1895649*n^4+7455*n^5-21/2*n^6)*p6*p2-\
77414400000*p4*p3^2*p2*p1^2+812851200000*p4^2*p3*p2*p1+1548288000*(853727849040
-92957569894*n+7240549197/2*n^2-128825165/2*n^3+559594*n^4-4655/2*n^5+7/2*n^6)*
p6*p1^2+1228800*(-12154590+1732346/3*n-8555*n^2+115/3*n^3)*p3*p1^7+24192000*(-\
171023400+13936833/2*n-92124*n^2+783/2*n^3)*p2^4*p1^2-209018880000*p5*p3*p2^2*
p1^2+23224320000*p5*p3*p2*p1^4+928972800000*p5*p3^2*p2*p1-360905932800*p5*p4*p2
*p1^3+1624076697600*p5*p4*p2^2*p1-7218118656000*p5*p4*p3*p2+2406039552000*p5*p4
*p3*p1^2-433520640000*p6*p3*p2*p1^3+1950842880000*p6*p3*p2^2*p1+4486938624000*
p6*p4*p2*p1^2-19941949440000*p6*p4*p3*p1-32540059238400*p6*p5*p2*p1+21504000*(
315630-3240*n)*p3*p2^3*p1^3+64512000*(-1396200+14400*n)*p3^2*p2^2*p1^2+12902400
*(568270-7792*n+20*n^2)*p4*p3*p1^5+48384000*(-1612008+21168*n-54*n^2)*p4*p2^3*
p1^2+77414400*(-2256498+35991*n-135*n^2)*p5*p2^2*p1^3+206438400*(-40960800+
517500*n-1500*n^2)*p5*p3^2*p1+154828800*(13743246-201585*n+777*n^2)*p5*p4*p1^3+
1032192000*(29261205372-1359635284*n+18774588*n^2-109382*n^3+210*n^4)*p6*p3*p1+
774144000*(-5720429904+286448379*n-4580961*n^2+29337*n^3-63*n^4)*p6*p2*p1^2+
928972800*(31444052766-2818983537/2*n+72618231/4*n^2-204791/2*n^3+777/4*n^4)*p5
*p4*p1+619315200*(25124280720-1010946555*n+26186331/2*n^2-70755*n^3+225/2*n^4)*
p5*p3*p2+96768000*(-8478703808+724026754*n-93816137/4*n^2+1474727/4*n^3-11367/4
*n^4+33/4*n^5)*p2^2*p1^4+12902400*(1848947904-492255331/3*n+22301973/4*n^2-\
274313/3*n^3+2867/4*n^4-2*n^5)*p2*p1^6+3715891200*(-42259843586312+
34435909926281/4*n-30689703072253/48*n^2+362618575893/16*n^3-27119591805/64*n^4
+4409756*n^5-2502403/96*n^6+1255/16*n^7-5/64*n^8)*p5*p1+2322432000*(-\
55981469431492+10425689055288*n-2044122700208/3*n^2+330236998069/16*n^3-\
31994408479/96*n^4+6360799/2*n^5-848927/48*n^6+771/16*n^7-1/32*n^8)*p4*p2+
2322432000*(11417515162412-2040653643856*n+410624611549/3*n^2-217616264765/48*n
^3+7894466729/96*n^4-20526839/24*n^5+242363/48*n^6-231/16*n^7+1/96*n^8)*p4*p1^2
+1032192000*(-2771354324250+892720731091/2*n-996903732227/36*n^2+3493899207/4*n
^3-1118729191/72*n^4+3871427/24*n^5-66955/72*n^6+55/24*n^7)*p3*p1^3+1161216000*
(-2926595136896+878780654605/2*n-202213705657/8*n^2+11884945779/16*n^3-50139667
/4*n^4+1011173/8*n^5-5697/8*n^6+27/16*n^7)*p2^2*p1^2+387072000*(599071486288-\
539601216437/6*n+128255937593/24*n^2-7976802211/48*n^3+71764619/24*n^4-95311/3*
n^5+1109/6*n^6-7/16*n^7)*p2*p1^4+6193152000*(-171153645651054+243425361424805/4
*n-378339982669703/48*n^2+71362570363265/144*n^3-9807411798571/576*n^4+
32915904109/96*n^5-1227531839/288*n^6+201269/6*n^7-90115/576*n^8+95/288*n^9)*p3
*p1+4644864000*(53124642193320-15623928095649*n+3473766207765/2*n^2-\
1175413615649/12*n^3+304580676935/96*n^4-12169884877/192*n^5+13015561/16*n^6-\
641899/96*n^7+3091/96*n^8-13/192*n^9)*p2*p1^2+51609600*(-9208765920+1671651779/
2*n-343448219/12*n^2+2821577/6*n^3-45205/12*n^4+35/3*n^5)*p3*p1^5+193536000*(
38988928032-3156795747*n+384590961/4*n^2-2873007/2*n^3+43047/4*n^4-63/2*n^5)*p2
^3*p1^2+290304000*(229272120-4205520*n+17820*n^2)*p8*p2^2+96768000*(17821320-\
425700*n+1980*n^2)*p8*p1^4+530841600*(-1472430960+19212852*n-78660*n^2)*p7*p5+
22118400*(-3904500+89292*n-420*n^2)*p7*p1^5+18579456000/11*(-1601552524+
40374048*n-175032*n^2)*p11*p1+928972800*(-1309982960+28018848*n-120120*n^2)*p10
*p2+928972800*(359190832-8994700*n+40040*n^2)*p10*p1^2+688128000*(-1305858840+
22078914*n-90090*n^2)*p9*p3+129024000*(-4018160200+149236470*n-1839300*n^2+7950
*n^3)*p3^2*p2^2+43008000*(-249546600+32877170/3*n-149660*n^2+2050/3*n^3)*p3^2*
p1^4+115200*(34096-550*n+2*n^2)*p4*p1^8+57344000/3*(-1731000+18000*n)*p3^3*p1^3
+21504000*(4865400-48600*n)*p3^2*p2^3+1433600*(-109800+1200*n)*p3^2*p1^6+51200/
3*(-6090+60*n)*p3*p1^9+2016000*(-68904+648*n)*p2^4*p1^4+57600*(-4728+36*n)*p2^2
*p1^8+2064384000*(-120178042842+45599443747/6*n-578830967/4*n^2+5904041/6*n^3-\
9009/4*n^4)*p9*p1+1161216000*(-120197118360+12757820625/2*n-104084244*n^2+
1339965/2*n^3-1485*n^4)*p8*p2+1161216000*(27129937560-3286916127/2*n+30937665*n
^2-425865/2*n^3+495*n^4)*p8*p1^2+884736000*(-137460763440+6507373040*n-89072166
*n^2+521200*n^3-1050*n^4)*p7*p3+185794560*(223728120-2951316*n+11340*n^2)*p5^2*
p2+185794560*(-66382344+936900*n-3780*n^2)*p5^2*p1^2+737280*(-173754+3375*n-15*
n^2)*p5*p1^7+72576000*(-33264840+420840*n-1260*n^2)*p4^2*p2^2+24192000*(-\
2827640+40740*n-140*n^2)*p4^2*p1^4+172032000*(193309200-2513280*n+8400*n^2)*p6*
p3^2+64512000*(-37558080+587412*n-2268*n^2)*p6*p2^3+4300800*(837648-17976*n+84*
n^2)*p6*p1^6+344064000*(-80299362+1975545*n-9009*n^2)*p9*p1^3+580608000*(-\
1397821920+20124126*n-82170*n^2)*p8*p4+442368000*(-6072618780+352364846*n-\
6506025*n^2+44956*n^3-105*n^4)*p7*p1^3+774144000*(-152144032656+6898786629*n-\
85877568*n^2+482181*n^3-966*n^4)*p6*p4+387072000*(23900003568-1068955461*n+
15536493*n^2-93681*n^3+189*n^4)*p6*p2^2+129024000*(1340309712-74415061*n+
1336881*n^2-9149*n^3+21*n^4)*p6*p1^4+290304000*(25937413320-2029937595/2*n+
12739650*n^2-135135/2*n^3+105*n^4)*p4^2*p2+290304000*(-6361063880+565490965/2*n
-3775045*n^2+42035/2*n^3-35*n^4)*p4^2*p1^2+258048000*(25227255480-2739847610/3*
n+10998266*n^2-158410/3*n^3+50*n^4)*p4*p3^2+6451200*(60593256-18316831/6*n+
99823/2*n^2-1793/6*n^3+1/2*n^4)*p4*p1^6+114688000*(-4964382000+556787600/3*n-\
2267300*n^2+29500/3*n^3)*p3^3*p1+495947612160000*p10*p3*p1+886908911616000*p11*
p2*p1+96768000*(-4151956824+327724443/2*n-4346811/2*n^2+22455/2*n^3-27/2*n^4)*
p4*p2^3+30965760*(-289517610+30690143/2*n-1061841/4*n^2+3505/2*n^3-15/4*n^4)*p5
*p1^5-10240*p1^12+2560*(1160-6*n)*p2*p1^10+537600*(18360-162*n)*p2^3*p1^6+
2419200*(252072-2430*n)*p2^5*p1^2+12096000*(5626800-69822*n+162*n^2)*p4*p2^4+
5109350400000*p8*p3*p1^3+5173217280000*p8*p2^2*p1^2-574801920000*p8*p2*p1^4+
299203559424000*p7*p6*p1+125268000768000*p7*p5*p2-41756000256000*p7*p5*p1^2+
80210165760000*p7*p4*p3+4010508288000*p7*p4*p1^3-12386304000000*p7*p3^2*p1-\
8360755200000*p7*p3*p2^2-309657600000*p7*p3*p1^4-418037760000*p7*p2^2*p1^3+
27869184000*p7*p2*p1^5+72311242752000*p6*p5*p3+3615562137600*p6*p5*p1^3-\
61993451520000*p9*p3*p1^2-41845579776000*p9*p2^2*p1+9299017728000*p9*p2*p1^3+
321429233664000*p8*p5*p1+143125678080000*p8*p4*p2-111588212736000*p10*p2*p1^2+
375650795520000*p9*p4*p1+185980354560000*p9*p3*p2-435456000*p4*p2^3*p1^4+
29030400*p4*p2^2*p1^6-6730407936000*p6*p4*p2^2-4335206400000*p6*p3^2*p2+
1445068800000*p6*p3^2*p1^2-146313216000*p6*p2^3*p1^2+24385536000*p6*p2^2*p1^4-\
1083801600*p6*p2*p1^6-9364045824000*p5^2*p3*p1+2106910310400*p5^2*p2*p1^2-\
8364238848000*p5*p4^2*p1+209018880000*p5*p3*p2^3+10450944000*p5*p2^3*p1^3-\
1045094400*p5*p2^2*p1^5+33177600*p5*p2*p1^7-91445760000*p4^2*p2^2*p1^2+
10160640000*p4^2*p2*p1^4-47708559360000*p8*p4*p1^2-691200*p4*p2*p1^8+1959552000
*p4*p2^4*p1^2+4300800000*p4*p3^2*p1^4-90316800000*p4^2*p3*p1^3-516096000*p5*p3*
p1^6-23514624000*p5*p2^4*p1-103219200000*p5*p3^2*p1^3+12030197760*p5*p4*p1^5+
14450688000*p6*p3*p1^5-249274368000*p6*p4*p1^4+1254113280000*p7*p2^3*p1+
114688000000*p4*p3^3*p1+116121600000*p4*p3^2*p2^2+12288000*p4*p3*p1^7+464486400
*(-46870326+640539*n-2331*n^2)*p5*p4*p2*p1+129024000*(-1997210+25716*n-60*n^2)*
p4*p3*p2*p1^3+193536000*(6924030-84168*n+180*n^2)*p4*p3*p2^2*p1+309657600*(
9765840-137610*n+450*n^2)*p5*p3*p2*p1^2+516096000*(-46405380+684432*n-2520*n^2)
*p6*p3*p2*p1+774144000*(-5101169938+204675188*n-2664982*n^2+13573*n^3-15*n^4)*
p4*p3*p2*p1-563571764862179136000*n^6+8465592119639112192000*n^5-\
499571335058803200*n^8+21585382037100403200*n^7-74718501312000*n^10+
7422254442816000*n^9+4032000*n^13-546554511360000*p7^2+4838400*(681457320-\
52384239/2*n+334287*n^2-2835/2*n^3)*p2^5+5120*(-569160+157219/6*n-344*n^2+5/6*n
^3)*p1^10+2322432000*(14292221623680-1870829601652*n+327507052059/4*n^2-\
6056964089/4*n^3+51981435/4*n^4-213015/4*n^5+165/2*n^6)*p8+580608000*(-\
5340389845120+519966499668*n-194713518475/12*n^2+860801935/4*n^3-18392815/12*n^
4+21665/4*n^5-35/6*n^6)*p4^2+460800*(-404462016+36799524*n-15467903/12*n^2+
259627/12*n^3-2017/12*n^4+5/12*n^5)*p1^8+3096576000*(140140337385048-\
33592956044912*n+2846031581496*n^2-880729000935/8*n^3+34138180027/16*n^4-\
44362045/2*n^5+1038191/8*n^6-3157/8*n^7+7/16*n^8)*p6+1032192000*(-\
61890947483640+11384054734900*n-13047351312391/18*n^2+83848840789/4*n^3-\
5722038433/18*n^4+8630710/3*n^5-135680/9*n^6+425/12*n^7)*p3^2+48384000*(
187877760-2256450*n+7350*n^2)*p4^3+387072000*(14620339046208-4373513501799/2*n+
955439577963/8*n^2-52026490761/16*n^3+408780867/8*n^4-1949355/4*n^5+10581/4*n^6
-99/16*n^7)*p2^3+28672000/3*(-25080000+240000*n)*p3^4+1857945600*(530068659120-\
105061427471/3*n+668631392*n^2-13402675/3*n^3+10010*n^4)*p10+258048000*(-\
1500006816+18938304*n-77616*n^2)*p6^2-3510681108480000*p12*p2-1473495780556800*
p10*p4-9241793003520000*p13*p1-98545434624000*p11*p1^3-5173217280000*p8*p2^3+
1170227036160000*p12*p1^2-1970908692480000*p11*p3+51093504000000*p8*p3^2-\
309967257600*p9*p1^5-1126611763200000*p8*p6-1238452037222400*p9*p5+
6199345152000*p10*p1^4+167382319104000*p10*p2^2-20028653568000*p6^2*p1^2+
32432762880000*p6*p4^2+12902400*p6*p1^8+60085960704000*p6^2*p2-442368000*p7*p1^
7+12773376000*p8*p1^6-903168000000*p4^2*p3^2+355622400000*p4^3*p1^2-\
1066867200000*p4^3*p2-688128000000*p5*p3^3-117050572800*p5^2*p1^4-1175731200*p4
*p2^5+30479969157120*p5^2*p4-3160365465600*p5^2*p2^2-225792000*p4^2*p1^6+
91445760000*p4^2*p2^3+109734912000*p6*p2^4-307200*p5*p1^9+5120*p4*p1^10-\
2109273600*n^12+506695257600*n^11-69324118932582066739200*n^4+
285067275279917410099200*n^3+25804800*(-124752334512+37374709053/2*n-\
81610495417/72*n^2+586100123/16*n^3-6217970/9*n^4+183689/24*n^5-3271/72*n^6+5/
48*n^7)*p1^6+48384000*(-179210445120+13555224000*n-1540538973/4*n^2+21808053/4*
n^3-157923/4*n^4+459/4*n^5)*p2^4+4644864000*(426549997954080-190386436462668*n+
454120437046303/15*n^2-162129835002337/72*n^3+8333199449051/96*n^4-353215607765
/192*n^5+21917104477/960*n^6-16922011/96*n^7+39473/48*n^8-1111/576*n^9+1/960*n^
10)*p4-508618477939240820736000*n^2+2322432000*(-211505710596984+72180324027627
*n-17511741571995/2*n^2+8044511993187/16*n^3-497761373069/32*n^4+2294268025/8*n
^5-54564875/16*n^6+421623/16*n^7-3885/32*n^8+1/4*n^9)*p2^2+403200*(-903960+8748
*n)*p2^6+774144000*(-12562224142248+3345167155373*n-1055431373185/3*n^2+
2819904734549/144*n^3-187291206941/288*n^4+1314946435/96*n^5-26992615/144*n^6+
19591/12*n^7-2357/288*n^8+5/288*n^9)*p1^4+371589120*(-157460216760+7059386544*n
-85191039*n^2+471600*n^3-945*n^4)*p5^2+9289728000*(253338346062648-\
10105474180979801/42*n+1237390373985517/16*n^2-32605866560017459/2880*n^3+
54753394043391/64*n^4-27525760395803/768*n^5+338867952785/384*n^6-122565850833/
8960*n^7+6819695/48*n^8-2273287/2304*n^9+535/128*n^10-31/3840*n^11)*p2+
9289728000*(-128790745038648+3782665063643107/42*n-15983364500636999/720*n^2+
4556448804846235/1728*n^3-33286079606873/192*n^4+15790316279231/2304*n^5-\
496779456091/2880*n^6+15475970815/5376*n^7-18715345/576*n^8+1678391/6912*n^9-\
3133/2880*n^10+5/2304*n^11)*p1^2+1548288000*(7138971840-179230116*n+755820*n^2)
*p12
[4, 4, 4, 4, 3]
3122777039044608*n-580608*p6*p2^3-4091904*p5*p3*p2^2-5422636142432256*n^2+
56401920*p14+34836480*p8*p2^2+34836480*p5^2*p2+82944*p3^2*p2^3+768*p3^4*p2+1024
/5*(-26730+540*n)*p5*p3^2*p1+3072/5*(67410-1260*n)*p6*p5*p1+384*(168840-2520*n)
*p6*p4*p2+1024*(34650-660*n)*p9*p2*p1+768*(119880-2160*n)*p8*p3*p1+3072/7*(
340200-5040*n)*p7*p3*p2+2048*(-116918010+10144365/2*n-124575/2*n^2+165*n^3)*p9*
p1+1152*(-253675440+10458960*n-92520*n^2)*p8*p2-2027520*p9*p5+512/3*(824040-\
42525/2*n+189/2*n^2)*p6*p3^2+128*(-62280+1080*n)*p4*p3^2*p2-6709248*p11*p3+
18432/11*(-492492+8008*n)*p11*p1+4608/5*(-1561560+20020*n)*p10*p2+2048/3*(-\
3480840+174735/2*n-495/2*n^2)*p9*p3+576*(-2052000+21600*n)*p8*p4+1536/5*(412200
-5400*n)*p5*p4*p3+18432/35*(-2532600+25200*n)*p7*p5-2096640*p12*p2+1024*(-\
2860224750+535478427/2*n-20190921/2*n^2+206025*n^3-2346*n^4+12*n^5)*p3*p1^3+
1152*(-3969176388+344587748*n-10494924*n^2+151968*n^3-912*n^4)*p2^2*p1^2+384*(
162577746-10485072*n+309520*n^2-4800*n^3+32*n^4)*p2*p1^4+6144*(-1090119815352+
328185372510*n-34687776539*n^2+1693978662*n^3-42171623*n^4+559584*n^5-3998*n^6+
12*n^7)*p3*p1+4608*(245406903048-107855287833/2*n+24872729821/6*n^2-442399879/3
*n^3+8195794/3*n^4-83492/3*n^5+128*n^6)*p2*p1^2+1024/9*(-5733990+565677/2*n-\
9531/2*n^2+27*n^3)*p3^3*p1+128*(-6879564+237276*n-2052*n^2)*p3^2*p2^2+18432/7*(
-7811641656+679790244*n-19374180*n^2+217560*n^3-840*n^4)*p7*p1+1536*(-\
14407044036+2508809135/2*n-66846381/2*n^2+297311*n^3-672*n^4)*p6*p2+1536*(
709163532-90710151/2*n+2094435/2*n^2-10920*n^3+42*n^4)*p6*p1^2+6144/5*(-\
18660406260+3445499475/2*n-105071175/2*n^2+634410*n^3-2880*n^4)*p5*p3+3072/5*(-\
37254870+1746300*n-32760*n^2+240*n^3)*p5*p1^3+576*(2443967760-149943360*n+
2553120*n^2-13680*n^3)*p4*p2^2+3072*(41749616406-10258950255/2*n+442146143/2*n^
2-4416450*n^3+44786*n^4-192*n^5)*p3*p2*p1+512*(3210260220-485907363/2*n+
12741417/2*n^2-70587*n^3+288*n^4)*p3^2*p2+512*(-139614300+19187379/2*n-519327/2
*n^2+3384*n^3-18*n^4)*p3^2*p1^2+256*(141318-5976*n+72*n^2)*p3^2*p2*p1^2+128*(
143856-2592*n)*p3*p2^3*p1+288*(36811200-907200*n+7200*n^2)*p4^2*p2+9216/5*(
1354028820-84332580*n+1628160*n^2-11280*n^3)*p5*p2*p1+256*(75682260-3565170*n+
52560*n^2-270*n^3)*p4*p3^2+1536*(1773527100-125727090*n+3206820*n^2-37590*n^3+
180*n^4)*p4*p3*p1+96*(-2462400+25920*n)*p4*p2^3+1152*(-79963800+3606920*n-66240
*n^2+480*n^3)*p4*p2*p1^2+768*(-187628172+10227156*n-195804*n^2+1368*n^3)*p3*p2^
2*p1+512*(4542102-256812*n+5688*n^2-48*n^3)*p3*p2*p1^3+768*(-400302+15288*n-168
*n^2)*p6*p2*p1^2+4608/5*(16825800-448200*n+3600*n^2)*p5*p4*p1+384*(31494204-\
860076*n+4788*n^2)*p6*p2^2+3072/5*(50755140-1875420*n+16920*n^2)*p5*p3*p2+3072/
5*(-946350+34200*n-360*n^2)*p5*p3*p1^2+2304/5*(-1092240+17760*n)*p5*p2^2*p1+
9216/7*(13179600-383040*n+3360*n^2)*p7*p2*p1+1024*(24656814-2187297/2*n+30807/2
*n^2-63*n^3)*p6*p3*p1+1152*(4848120-154080*n+1440*n^2)*p8*p1^2+6144/7*(-\
390687696+20124090*n-303030*n^2+1260*n^3)*p7*p3+768*(-374737860+15756930*n-\
168840*n^2+630*n^3)*p6*p4+512/9*(4698-108*n)*p3^3*p2*p1+192*(5817744-184896*n+
1728*n^2)*p2^3*p1^2+18432/5*(-171185622090+55221275755/2*n-3079499185/2*n^2+
37774155*n^3-422620*n^4+1920*n^5)*p5*p1+2304*(-279487116210+45532283010*n-\
2516152020*n^2+58007690*n^3-545460*n^4+1920*n^5)*p4*p2+2304*(26211977100-\
3113377030*n+129705320*n^2-2547890*n^3+26280*n^4-120*n^5)*p4*p1^2+387072*p6*p5*
p3-32256*p6*p3^2*p2+337920*p9*p3*p2+746496*p2^5+73638786283520*n^5-\
4411433904128*n^6-2514378752*n^8+144296787968*n^7-73728*n^10+21405696*n^9-\
2903040*p8*p6+512*(-11970+252*n)*p6*p3*p2*p1+768*(-2128200+71880*n-720*n^2)*p4*
p3*p2*p1+112896*p6^2*p2-18432*p5*p3^3+414720*p8*p3^2+1536*(15036840-743925/2*n+
1365/2*n^2)*p12+2304*(60562822320-7168389390*n+278538540*n^2-4093470*n^3+17280*
n^4)*p8+9216/25*(-391135500+15923250*n-122850*n^2)*p5^2+9216/5*(1583602020-\
96886790*n+1596595*n^2-5005*n^3)*p10+48*(-255832128+10579680*n-90720*n^2)*p2^4+
2304*(-1453764129264+881068102813/2*n-93009838097/2*n^2+2212885332*n^3-50126090
*n^4+514288*n^5-2064*n^6)*p2^2+9216*(-1108068595200+677720489148*n-419023896877
/3*n^2+39261210688/3*n^3-1882885067/3*n^4+16358046*n^5-241210*n^6+6128/3*n^7-8*
n^8)*p1^2+384*(57240064782-6875256060*n+267755652*n^2-4001544*n^3+20736*n^4)*p2
^3+4608*(3289894629840-2683345450115/2*n+385526708305/2*n^2-12762354175*n^3+
420685740*n^4-6785980*n^5+47760*n^6-120*n^7)*p4+768*(-30231296928+9598888041/2*
n-553739057/2*n^2+8249464*n^3-148404*n^4+1592*n^5-8*n^6)*p1^4-655204929652736*n
^4+2885694876919808*n^3+9216*(2428002410400-6478943700716/3*n+5743233830515/9*n
^2-253928498990/3*n^3+51059290993/9*n^4-601316908/3*n^5+33030826/9*n^6-96100/3*
n^7+112*n^8)*p2+256*(-3079944+127449/2*n-441/2*n^2)*p6^2+256/27*(-223560+13041/
2*n-81/2*n^2)*p3^4+3072*(819610531740-177241534092*n+13421974447*n^2-448770994*
n^3+6669803*n^4-36806*n^5+42*n^6)*p6+576*(-19165255200+1672789200*n-44911200*n^
2+430200*n^3-1800*n^4)*p4^2+1024*(-317241302184+52918326054*n-3105752691*n^2+
83109960*n^3-1099671*n^4+7326*n^5-18*n^6)*p3^2
[4, 4, 4, 4, 2, 2]
2322432*p6*p2^3-58612832575684608*n+15925248*p7*p2^2*p1+36495360*p8*p2*p1^2-\
4128768*p5*p3*p2*p1^2-774144*p6*p2^2*p1^2+41287680*p5*p4*p2*p1+21676032*p5^2*p1
^2-2211840*p4*p3*p2^2*p1+21676032*p5*p3*p2^2-1428848640*p14+5529600*p4^2*p2^2-\
218972160*p8*p2^2-238436352*p5^2*p2+306256332860850176/3*n^2-331776*p3^2*p2^3+
110592*p3^2*p2^2*p1^2+1024*(144060-2940*n)*p6*p4*p1^2+4096/9*(-16443+378*n)*p6*
p3*p1^3+8192/3*(-697125+4950*n)*p9*p2*p1+512*(462000-9600*n)*p4^2*p3*p1+8192/15
*(499905-9450*n)*p5*p3^2*p1+4096/5*(-4151700+69300*n)*p5*p4*p3+2048*(-2777940+
59400*n)*p8*p3*p1+12288/7*(-2252880+42000*n)*p7*p4*p1+8192/7*(-2014740+25704*n)
*p7*p3*p2+8192/7*(247212-5544*n)*p7*p3*p1^2+8192/5*(-1748565+22050*n)*p6*p5*p1+
1024*(-1250340+13860*n)*p6*p4*p2+24576/5*(-15921048990+1121921150*n-23756460*n^
2+147280*n^3)*p5*p2*p1+4096*(-21039287430+1638180050*n-42279940*n^2+416230*n^3-\
1220*n^4)*p4*p3*p1+3072*(1790367520-111014120*n+2229800*n^2-15120*n^3)*p4*p2*p1
^2+2048*(2056340802-113960580*n+2041668*n^2-12888*n^3)*p3*p2^2*p1+4096/3*(-\
176856840+10762866*n-231912*n^2+1800*n^3)*p3*p2*p1^3+8192*(-398763217695+
103874670011/2*n-4658466859/2*n^2+45197246*n^3-386446*n^4+1272*n^5)*p3*p2*p1+
12288/5*(-354883200+14038500*n-130200*n^2)*p5*p4*p1+8192/5*(-360337950+11622870
*n-93240*n^2)*p5*p3*p2+8192/5*(34778520-1466640*n+16380*n^2)*p5*p3*p1^2+6144/5*
(12268200-176400*n)*p5*p2^2*p1+4096/5*(-579600+10080*n)*p5*p2*p1^3+2048/3*(-\
3224520+145980*n-1800*n^2)*p4*p3*p1^3+768*(-660960+10080*n)*p4*p2^2*p1^2+2048/3
*(-3740760+141138*n-1404*n^2)*p3^2*p2*p1^2+1024/3*(-1215000+19440*n)*p3*p2^3*p1
+1024/3*(66744-1296*n)*p3*p2^2*p1^3+24576/7*(-202261500+6968136*n-49392*n^2)*p7
*p2*p1+8192/3*(-362383623+32203437/2*n-378063/2*n^2+231*n^3)*p6*p3*p1+2048*(
15532608-468426*n+3276*n^2)*p6*p2*p1^2+4096/27*(-50409+810*n)*p3^3*p2*p1+1024/3
*(382500-5940*n)*p4*p3^2*p2+1024/3*(-53820+1260*n)*p4*p3^2*p1^2+134184960*p11*
p3-2795520*p12*p1^2+4096/9*(-5167260+181629/2*n-189/2*n^2)*p6*p3^2+70287360*p10
*p4+8386560*p12*p2+42577920*p8*p6-6082560*p8*p3^2+49152/11*(13163150-300300*n)*
p11*p1+12288/5*(10230220-98670*n)*p10*p2+12288/5*(-1003860+21450*n)*p10*p1^2+
16384/9*(27551700-1140975/2*n+495/2*n^2)*p9*p3+8192/9*(48015-990*n)*p9*p1^3+
1536*(25410000-435600*n)*p8*p4+49152/35*(23628780-299880*n)*p7*p5+307200*p4^2*
p3^2+1024/3*(-969066+41832*n-504*n^2)*p6*p1^4+768*(-352016400+10862400*n-87600*
n^2)*p4^2*p2+768*(33218000-1352800*n+14800*n^2)*p4^2*p1^2+2048/3*(-617069790+
25736730*n-290880*n^2+750*n^3)*p4*p3^2+256*(10355040-142560*n)*p4*p2^3+3072*(
2054061240-79799940*n+582120*n^2)*p8*p2+3072*(-185090400+8595180*n-102960*n^2)*
p8*p1^2+16384/7*(3278451456-155165346*n+1834182*n^2-3276*n^3)*p7*p3+8192/7*(
16185204-696528*n+8064*n^2)*p7*p1^3+2048*(3479618310-150800090*n+1443960*n^2-\
1750*n^3)*p6*p4+1024*(-189683886+3960936*n-18900*n^2)*p6*p2^2+16384/3*(
1722705765-180461105/2*n+2406855/2*n^2-605*n^3)*p9*p1+1024*p3^4*p1^2+172032*p5*
p3^3+4096/81*(6399-162*n)*p3^3*p1^3-40960*p4*p3^3*p1+129024*p6*p3^2*p2-43008*p6
*p3^2*p1^2-3612672*p6*p5*p3-6193152*p7*p6*p1-8847360*p7*p4*p3+884736*p7*p3^2*p1
-14057472*p10*p3*p1-4505600*p9*p4*p1-1351680*p9*p3*p2+450560*p9*p3*p1^2+12288*(
-2178132103116+3123634153091/6*n-88941906047/2*n^2+1776426401*n^3-35893750*n^4+
1080380/3*n^5-1488*n^6)*p2*p1^2+512*(-151391640+10053560*n-240000*n^2+2080*n^3)
*p4*p1^4+4096/3*(-25143371010+3458474655/2*n-75884517/2*n^2+327363*n^3-900*n^4)
*p3^2*p2+4096/3*(2492296866-364390983/2*n+9432843/2*n^2-49392*n^3+150*n^4)*p3^2
*p1^2+2048/15*(13953150-987420*n+25560*n^2-240*n^3)*p3*p1^5+512*(-104642496+
3698352*n-33696*n^2)*p2^3*p1^2+256*(4912272-171072*n+1728*n^2)*p2^2*p1^4+49152/
5*(1541568570745-528096023035/2*n+31495478805/2*n^2-408365615*n^3+4489800*n^4-\
14840*n^5)*p5*p1+6144*(2261794958675-1100580339700/3*n+19758621060*n^2-\
1277377430/3*n^3+3440580*n^4-10480*n^5)*p4*p2+6144*(-296922312765+123773888660/
3*n-2044188640*n^2+45569690*n^3-453240*n^4+4600/3*n^5)*p4*p1^2+8192/3*(
46662157071-10976128155/2*n+479846133/2*n^2-4973373*n^3+49158*n^4-180*n^5)*p3*
p1^3+3072*(51241350359-5292959956*n+188439544*n^2-2838480*n^3+16176*n^4)*p2^2*
p1^2+1024*(-5248351545+503302540*n-18003984*n^2+297200*n^3-1968*n^4)*p2*p1^4+
16384*(8712017278380-2713366442252*n+893499376811/3*n^2-45172387894/3*n^3+
1136909657/3*n^4-14186584/3*n^5+82442/3*n^6-196/3*n^7)*p3*p1+49152/7*(
84735421820-8203041252*n+257801068*n^2-2878008*n^3+5432*n^4)*p7*p1+4096*(
120027666234-20380371347/2*n+501090681/2*n^2-1731527*n^3+2100*n^4)*p6*p2+4096*(
-12179178354+1994205843/2*n-54137279/2*n^2+262080*n^3-350*n^4)*p6*p1^2+16384/5*
(157070528370-28193848935/2*n+780004995/2*n^2-3662610*n^3+10500*n^4)*p5*p3+8192
/5*(1482209820-105172620*n+2523780*n^2-21000*n^3)*p5*p1^3+1536*(-19509938040+
1149749160*n-18649200*n^2+103920*n^3)*p4*p2^2+8192/27*(70822971-6218361/2*n+
77139/2*n^2-99*n^3)*p3^3*p1+1024/3*(36197046-1044360*n+8100*n^2)*p3^2*p2^2+1024
/9*(331506-16200*n+216*n^2)*p3^2*p1^4+995328*p2^4*p1^2-2985984*p2^5+
81273860112384*n^6-1386865580785664*n^5+119431954432/3*n^8-7581884088320/3*n^7+
2686976/3*n^10-2560557056/9*n^9+4096/3*(167517-1890*n)*p6*p3*p2*p1+860160*p6*p4
*p3*p1+2048*(35643840-1243740*n+11160*n^2)*p4*p3*p2*p1-2150400*p6*p4^2+150528*
p6^2*p1^2-451584*p6^2*p2+116981760*p13*p1+18923520*p9*p5-3072*p3^4*p2+31850496*
p7^2+24576/5*(-13880256390+2518606090/3*n-12521795*n^2+37895/3*n^3)*p10+2048/3*
(24650136-635481/2*n+441/2*n^2)*p6^2+128*(-3960000+72000*n)*p4^3+6144*(-\
506207421720+59658248870*n-2236352580*n^2+28923070*n^3-66000*n^4)*p8+1536*(
165282275600-43821658400/3*n+391235200*n^2-10359400/3*n^3+9800*n^4)*p4^2+2048/
81*(1062720-38961/2*n+81/2*n^2)*p3^4+8192*(-6512924748330+1412138003080*n-\
316935020801/3*n^2+3376801554*n^3-132734609/3*n^4+164486*n^5-350/3*n^6)*p6+1024
*(-460449243513+53320144608*n-1919605536*n^2+25115400*n^3-125280*n^4)*p2^3+2048
*(356909713956-140916060113/2*n+31270185371/6*n^2-191408712*n^3+11461732/3*n^4-\
40856*n^5+568/3*n^6)*p1^4+24576*(8265299842800-15628201050208/3*n+
10067216070629/9*n^2-996086692348/9*n^3+51133619035/9*n^4-1433119846/9*n^5+
22142050/9*n^6-181552/9*n^7+656/9*n^8)*p1^2+8192/3*(2567880437904-424510649970*
n+23850404903*n^2-567501000*n^3+5867543*n^4-28446*n^5+50*n^6)*p3^2+12288*(-\
24874260678540+20444438097915/2*n-26447313778385/18*n^2+287622031085/3*n^3-\
27220338580/9*n^4+131935700/3*n^5-2217040/9*n^6+1640/3*n^7)*p4+
37249417122955264/3*n^4-491229041375297536/9*n^3+4096*(-137559240+6684405/2*n-\
1365/2*n^2)*p12+1024/15*(490786695-46135320*n+1751160*n^2-32160*n^3+240*n^4)*p1
^6+6144*(11207082172356-20475504247279/6*n+713934755769/2*n^2-49216379620/3*n^3
+342850322*n^4-3023392*n^5+11152*n^6)*p2^2+128*(1437228576-45725472*n+381024*n^
2)*p2^4+24576/25*(3525861150-143876250*n+1080450*n^2)*p5^2+24576*(-\
17590106998800+47341036891544/3*n-42241489007585/9*n^2+1866034482530/3*n^3-\
369305253707/9*n^4+4163564932/3*n^5-208260578/9*n^6+510724/3*n^7-1640/3*n^8)*p2
[4, 4, 4, 3, 3, 2]
102507079644887040*n^2-58669731106652160*n+12766994497003008*n^4-\
55219758687356928*n^3+96*(-14093028+456048*n-4104*n^2)*p3*p2^3*p1+96*(377820-\
13680*n+144*n^2)*p3*p2^2*p1^3-1607454720*p14+576*(8778415452-564379092*n+
13641359*n^2-154830*n^3+715*n^4)*p3*p2^2*p1+384*(-404386452+23134047*n-557055*n
^2+6816*n^3-36*n^4)*p3*p2*p1^3+2304*(-1367656619751+722779959111/4*n-\
69200822173/8*n^2+407777339/2*n^3-21659163/8*n^4+80015/4*n^5-64*n^6)*p3*p2*p1+
6912/5*(-55376097215+4066552770*n-104181250*n^2+1204770*n^3-5570*n^4)*p5*p2*p1+
1152*(-65581584300+4867521210*n-131191295*n^2+3556485/2*n^3-12895*n^4+75/2*n^5)
*p4*p3*p1+864*(5096026520-302458340*n+6744220*n^2-72040*n^3+320*n^4)*p4*p2*p1^2
+192*(-10219824+429102*n-6570*n^2+36*n^3)*p3^2*p2*p1^2+18*(425088-6912*n)*p2^4*
p1^2+13824/7*(274012711756-25763375442*n+829378641*n^2-11819178*n^3+77595*n^4-\
168*n^5)*p7*p1+1152*(467432623056-86761582355/2*n+5310249049/4*n^2-33402999/2*n
^3+353591/4*n^4-119*n^5)*p6*p2+1152*(-32289922224+4722109035/2*n-247286109/4*n^
2+777420*n^3-19635/4*n^4+21/2*n^5)*p6*p1^2+4608/5*(576615380340-107349044805/2*
n+6712814355/4*n^2-46119945/2*n^3+643125/4*n^4-435*n^5)*p5*p3+2304/5*(
2844731475-159820125*n+3421215*n^2-36840*n^3+180*n^4)*p5*p1^3+432*(-89178516200
+19116392320/3*n-150491220*n^2+4538600/3*n^3-5940*n^4)*p4*p2^2+144*(-151823160+
5484400*n-72480*n^2+320*n^3)*p4*p1^4+384*(-103337716230+15790650903/2*n-\
871353981/4*n^2+5857539/2*n^3-79731/4*n^4+51*n^5)*p3^2*p2+384*(6177576294-\
825237639/2*n+45205353/4*n^2-168048*n^3+5463/4*n^4-9/2*n^5)*p3^2*p1^2+192/5*(
5608980-205200*n+2160*n^2)*p3*p1^5+144*(-621432048+32831184*n-618672*n^2+4320*n
^3)*p2^3*p1^2+72*(19751184-929440*n+17472*n^2-128*n^3)*p2^2*p1^4+13824/5*(
5232015463955-3558814772135/4*n+428802448305/8*n^2-6010828125/4*n^3+174847335/8
*n^4-169620*n^5+560*n^6)*p5*p1+1728*(8244646194580-4190629330315/3*n+
495443970545/6*n^2-2198348415*n^3+172602295/6*n^4-580280/3*n^5+540*n^6)*p4*p2+
32*(64152-1296*n)*p3^2*p1^4+96*(254340648-9859836*n+126252*n^2-528*n^3)*p3^2*p2
^2+2304/7*(-13184640+244692*n-756*n^2)*p7*p3*p2-604800*p6*p4^2-2709504*p6^2*p2+
2304/7*(217728-3024*n)*p7*p3*p1^2+1728/7*(447552-5376*n)*p7*p2^2*p1+1728*(-\
910586658180+119189872645*n-11256275095/2*n^2+390340990/3*n^3-3382625/2*n^4+
37295/3*n^5-40*n^6)*p4*p1^2+768*(120956053275-50414705331/4*n+4056309525/8*n^2-\
44466255/4*n^3+1207023/8*n^4-2445/2*n^5+9/2*n^6)*p3*p1^3+864*(165053953000-\
17308220852*n+682943466*n^2-41212480/3*n^3+149150*n^4-2156/3*n^5)*p2^2*p1^2+288
*(-11337960600+934478308*n-31257628*n^2+583896*n^3-6320*n^4+32*n^5)*p2*p1^4+
4608*(30371841386892-9477641901753*n+1050599890553*n^2-220083940549/4*n^3+
6147485881/4*n^4-99554679/4*n^5+986701/4*n^6-1406*n^7+7/2*n^8)*p3*p1+3456*(-\
7313691537456+1719621018793*n-291257857547/2*n^2+17968549841/3*n^3-828057659/6*
n^4+5803016/3*n^5-48290/3*n^6+188/3*n^7)*p2*p1^2+2304/5*(-5328855+91665*n-315*n
^2)*p6*p5*p1+288*(-9798180+146580*n-420*n^2)*p6*p4*p2-1244160*p5^2*p4+216*(-\
8187360+97920*n)*p8*p2^2+760320*p9*p1^3+432*(85585200-1177200*n+3600*n^2)*p8*p4
+576*(-6361200+132300*n-540*n^2)*p8*p3*p1+432*(177120-2880*n)*p8*p2*p1^2+512*(
103404510-2326500*n+9900*n^2)*p9*p3+3456/7*(-3744720+38640*n)*p7*p4*p1+96*(
2186100-42660*n+180*n^2)*p4*p3^2*p2+128*(-19329030+421092*n-2268*n^2)*p6*p3^2+
96*(-25380+360*n)*p4*p3^2*p1^2+48*(743400-6048*n)*p6*p2^3+3456/25*(-10672200+
122400*n)*p5^2*p2+3456/25*(221400-3600*n)*p5^2*p1^2+214272*p5*p3^3+13824/11*(
33935902-686686*n+2002*n^2)*p11*p1+3456/5*(71657300-1341340*n+2860*n^2)*p10*p2+
3456/5*(-1312740+17160*n)*p10*p1^2+768*(-4393290+79365*n-165*n^2)*p9*p2*p1+
133346304*p11*p3+100638720*p12*p2+120960*p6*p4*p3*p1+144*(496800-6000*n)*p4^2*
p3*p1-311040*p4*p2^4+13824/35*(97051500-1346940*n+3780*n^2)*p7*p5+86400*p4^2*p3
^2+65802240*p13*p1+192*(-2004030+52560*n-360*n^2)*p4*p3*p1^3+216*(-5394800+
151520*n-1280*n^2)*p4*p2^2*p1^2+128/3*(-212166+5211*n-27*n^2)*p3^3*p2*p1+48*(
7128-144*n)*p3^2*p2^2*p1^2+1536*(5123720415-1002851685/4*n+30239715/8*n^2-78375
/4*n^3+165/8*n^4)*p9*p1+864*(9438123720-446743200*n+5914320*n^2-22080*n^3)*p8*
p2+6912/7*(-793134300+31352496*n-386904*n^2+1344*n^3)*p7*p2*p1+768*(-1031726619
+177450399/4*n-5433561/8*n^2+17829/4*n^3-63/8*n^4)*p6*p3*p1+3456/5*(-951167850+
33078300*n-368100*n^2+1500*n^3)*p5*p4*p1+2304/5*(-1825898445+73445730*n-939960*
n^2+4080*n^3)*p5*p3*p2+2304/5*(66262725-2508930*n+34470*n^2-180*n^3)*p5*p3*p1^2
+1728/5*(104747340-3394680*n+29400*n^2)*p5*p2^2*p1+864*(-384425640+14412600*n-\
173160*n^2+720*n^3)*p8*p1^2+1152/5*(-2431260+77040*n-720*n^2)*p5*p2*p1^3+288*(
62580-840*n)*p6*p4*p1^2+4608/7*(12328456896-608880069*n+18672507/2*n^2-57519*n^
3+189/2*n^4)*p7*p3+2304/7*(17595900-438480*n+3024*n^2)*p7*p1^3+576*(12835339860
-558636925*n+13271895/2*n^2-35315*n^3+105/2*n^4)*p6*p4+288*(-1425632712+
51994348*n-521052*n^2+1232*n^3)*p6*p2^2+144*(-17976+336*n)*p6*p2^2*p1^2+96*(-\
161784+3024*n)*p6*p1^4+16*(-204552+2592*n)*p3^2*p2^3+1152/5*(-14004000+228600*n
-900*n^2)*p5*p4*p3+6912*p3^3*p1^3+768/5*(1194075-26325*n+135*n^2)*p5*p3^2*p1+
576/5*(1456560-18720*n)*p5*p3*p2^2+54*(787200-9600*n)*p4^2*p2^2+72*(166211280-\
4548960*n+33120*n^2)*p4*p2^3+256/3*(188851851-34619643/4*n+1228797/8*n^2-5049/4
*n^3+27/8*n^4)*p3^3*p1+216*(-1642789200+55538400*n-604800*n^2+2400*n^3)*p4^2*p2
+216*(43526800-988000*n+6400*n^2)*p4^2*p1^2+576*(52366272-1838886*n+22386*n^2-\
84*n^3)*p6*p2*p1^2+192*(-2207226780+94948905*n-2891475/2*n^2+10095*n^3-45/2*n^4
)*p4*p3^2-9216*p3^4*p2-6822144*p6*p5*p3-1741824*p7*p6*p1-2985984*p7*p5*p2+
126720*p9*p2^2*p1-3732480*p8*p5*p1-3110400*p8*p4*p2-633600*p9*p4*p1-5930496*p10
*p3*p1-5031936*p11*p2*p1-24192*p6*p3*p2^2*p1+414720*p5*p4*p3*p2-41472*p5*p3^2*
p2*p1+58786560*p8*p6+290304*p6*p5*p2*p1-5760*p4*p3^3*p1-17280*p4*p3^2*p2^2+1152
*p3^3*p2^2*p1+62208*p3*p2^4*p1-145152*p6*p3*p1^3+120960*p6*p4*p2^2+580608*p6*p3
^2*p2-5909760*p8*p3^2+248832*p5^2*p3*p1-1907712*p5*p2^3*p1-3732480*p7*p4*p3+
248832*p7*p3^2*p1+248832*p7*p3*p2^2+1728/5*(487200-6000*n)*p5*p4*p2*p1+144*(-\
79920+1200*n)*p4*p3*p2^2*p1+384*(879102-18207*n+63*n^2)*p6*p3*p2*p1+1152/5*(-\
39960+720*n)*p5*p3*p2*p1^2+622080*p8*p3*p2*p1+576*(129843630-4903380*n+64860*n^
2-300*n^3)*p4*p3*p2*p1+39536640*p10*p4-1976832*p10*p2^2-10137600*p9*p3*p2+
60065280*p9*p5+92240407701504*n^6-1473613754480640*n^5-18432*n^11+17915904*p7^2
+1728*(-1836733298400+223346096910*n-9134439045*n^2+154601190*n^3-1070475*n^4+
2460*n^5)*p8+36*(11784849120-680158080*n+12518208*n^2-80640*n^3)*p2^4+2304*(-\
23272155826920+5162014602906*n-405238407084*n^2+28993134289/2*n^3-505252517/2*n
^4+4254285/2*n^5-15715/2*n^6+7*n^7)*p6+768*(9231752608164-1570255803693*n+
188269696545/2*n^2-5249055975/2*n^3+38921856*n^4-680361/2*n^5+3231/2*n^6-3*n^7)
*p3^2+288*(-1822605824952+238828485392*n-11007410946*n^2+232725388*n^3-2433522*
n^4+10824*n^5)*p2^3+96/5*(430054920-20679120*n+393120*n^2-2880*n^3)*p1^6+64/9*(
3928500-97848*n+648*n^2)*p3^4+3456*(-88349926173600+110407016321045/3*n-\
97815431169385/18*n^2+374678509190*n^3-239454524185/18*n^4+755590255/3*n^5-\
22997945/9*n^6+13590*n^7-30*n^8)*p4+576*(1042070651856-187011806137*n+
24817579551/2*n^2-421729354*n^3+17381357/2*n^4-117177*n^5+986*n^6-4*n^7)*p1^4+
6912/25*(13395346650-582008700*n+6581700*n^2-27600*n^3)*p5^2+67717209600*n^8-\
3277902882816*n^7+5710848*n^10-821121024*n^9+18/5*(-13322880+207360*n)*p2^5+
6912/5*(-51641149560+3243992895*n-117453765/2*n^2+316745*n^3-715/2*n^4)*p10+432
*(602653260400-163225070600/3*n+1578292500*n^2-56208100/3*n^3+116700*n^4-300*n^
5)*p4^2+1728*(40042727352144-37538450600071/3*n+24870207728683/18*n^2-\
213679649204/3*n^3+34231161253/18*n^4-83015101/3*n^5+1995608/9*n^6-2408/3*n^7)*
p2^2+6912*(29098711857600-18298892275480*n+11763181069066/3*n^2-388678631675*n^
3+60966672302/3*n^4-608513733*n^5+33568153/3*n^6-396926/3*n^7+2879/3*n^8-10/3*n
^9)*p1^2+1152*(-529074000+13409760*n-43680*n^2)*p12+36*(-6984000+72000*n)*p4^3+
192*(102569544-1658160*n+7056*n^2)*p6^2+6912*(-62480188209600+56395546592824*n-\
17008166105310*n^2+20884063668047/9*n^3-1462737082484/9*n^4+56049702029/9*n^5-\
1213712105/9*n^6+15101600/9*n^7-106661/9*n^8+116/3*n^9)*p2
[4, 4, 4, 3, 2, 2, 2]
-4838400*p4^2*p3^2+691200*p4^2*p3*p2*p1+1160133969429135360*n+207360*p4*p3^2*p2
^2+691200*p4*p3^3*p1-69120*p4*p3^2*p2*p1^2+86016*p3^4*p2+42865459200*p14-18432*
p3^4*p1^2+1536*p3^3*p2*p1^3-13824*p3^3*p2^2*p1-1152000*p4^3*p2+6912/7*(-3378816
+40320*n)*p7*p2^2*p1+4608/7*(274176-4704*n)*p7*p2*p1^3+9216/7*(-7643160+160146*
n-378*n^2)*p7*p3*p1^2+1728*(-3760320+60480*n)*p8*p2*p1^2+13824/7*(66739680-\
1131480*n+2520*n^2)*p7*p4*p1+9216/7*(64837080-1066506*n+1890*n^2)*p7*p3*p2+2304
*(72909720-1493550*n+3510*n^2)*p8*p3*p1+3072*(41724210-1363725/2*n+825/2*n^2)*
p9*p2*p1+9216/5*(10119761280-372204240*n+4114680*n^2-13560*n^3)*p5*p3*p2+9216/5
*(-1081520580+45497640*n-594870*n^2+2310*n^3)*p5*p3*p1^2+6912/5*(-809363460+
25668780*n-209100*n^2)*p5*p2^2*p1+4608/5*(70257840-2462340*n+23640*n^2)*p5*p2*
p1^3+768*(111513360-4673460*n+64290*n^2-270*n^3)*p4*p3*p1^3+864*(79292480-\
2537840*n+21840*n^2)*p4*p2^2*p1^2+288*(-5280560+187680*n-1920*n^2)*p4*p2*p1^4+
768*(134817828-5414586*n+69024*n^2-246*n^3)*p3^2*p2*p1^2+384*(88607700-2687580*
n+22356*n^2)*p3*p2^3*p1+384*(-8313600+292644*n-2844*n^2)*p3*p2^2*p1^3+384/5*(
508980-20880*n+240*n^2)*p3*p2*p1^5+3072/5*(-12143790+459675/2*n-1215/2*n^2)*p5*
p3^2*p1+2304/5*(-5430120+73440*n)*p5*p3*p2^2+768/5*(-37080+720*n)*p5*p3*p1^4+
576*(-10946400+207000*n-600*n^2)*p4^2*p3*p1+432*(473600-8000*n)*p4^2*p2*p1^2+
384*(-10704480+186570*n-450*n^2)*p4*p3^2*p2+384*(1362600-29250*n+90*n^2)*p4*p3^
2*p1^2+512/3*(1471446-55539/2*n+135/2*n^2)*p3^3*p2*p1+192*(-80928+1296*n)*p3^2*
p2^2*p1^2+64*(6552-144*n)*p3^2*p2*p1^4+9216/5*(64963710-1912575/2*n+2835/2*n^2)
*p6*p5*p1+1152*(56616000-831810*n+1050*n^2)*p6*p4*p2+1152*(-6005160+105210*n-\
210*n^2)*p6*p4*p1^2+512*(682290-29043/2*n+63/2*n^2)*p6*p3*p1^3+576*(269472-3024
*n)*p6*p2^2*p1^2+192*(-16632+336*n)*p6*p2*p1^4+4608/5*(93238800-1553850*n+4050*
n^2)*p5*p4*p3+2304/5*(334800-5400*n)*p5*p4*p1^3+9216*(8809122854074-\
7333103301719/6*n+241723960413/4*n^2-4185222131/3*n^3+199347125/12*n^4-206579/2
*n^5+778/3*n^6)*p3*p2*p1+27648/7*(6893766264-285060384*n+3173184*n^2-7728*n^3)*
p7*p2*p1+3072*(9473300298-840484827/2*n+22063881/4*n^2-46389/2*n^3+63/4*n^4)*p6
*p3*p1+2304*(-762124020+28976234*n-309288*n^2+574*n^3)*p6*p2*p1^2+13824/5*(
9757041100-399776900*n+4538850*n^2-16750*n^3)*p5*p4*p1+27648/5*(413706076580-\
32425497565*n+844182760*n^2-8861915*n^3+34580*n^4)*p5*p2*p1+4608*(502403326700-\
40286999435*n+1106557565*n^2-13329625*n^3+76470*n^4-155*n^5)*p4*p3*p1+3456*(-\
55247107320+3840213060*n-280057000/3*n^2+978500*n^3-11600/3*n^4)*p4*p2*p1^2+
2304*(-64419436100+4145322193*n-93542241*n^2+924362*n^3-3462*n^4)*p3*p2^2*p1+
290304*p6*p3*p2^2*p1-32256*p6*p3*p2*p1^3+483840*p6*p4*p2*p1^2-22256640*p6*p4*p3
*p1-5806080*p6*p5*p2*p1+995328*p7*p3*p2*p1^2-9953280*p7*p4*p2*p1+1536*(
6590342364-432050029*n+10584174*n^2-117635*n^3+498*n^4)*p3*p2*p1^3+829440*p5*p3
^2*p2*p1-8294400*p5*p4*p3*p2+829440*p5*p4*p3*p1^2+2048*(-621997200+12468390*n-\
30030*n^2)*p9*p3+55296/11*(-397857460+9342333*n-17017*n^2)*p11*p1+13824/5*(-\
390618800+6625190*n-7150*n^2)*p10*p2+13824/25*(51319800-655200*n)*p5^2*p2+13824
/25*(-5266800+75600*n)*p5^2*p1^2+192*(-2230200+18144*n)*p6*p2^3+512*(103761000-\
1852326*n+5166*n^2)*p6*p3^2+864*(35019360-432000*n)*p8*p2^2+288*(165600-2880*n)
*p8*p1^4+55296/35*(-629962200+8847930*n-17010*n^2)*p7*p5+1024*(-3307590+128865/
2*n-165/2*n^2)*p9*p1^3+1728*(-618422400+10168200*n-23400*n^2)*p8*p4+13824/5*(
40709240-876590*n+1430*n^2)*p10*p1^2+1536*(594361062240-42963956986*n+
2106715887/2*n^2-11847743*n^3+126903/2*n^4-114*n^5)*p3^2*p2+1536*(-65836516080+
4869016770*n-264702015/2*n^2+1694262*n^3-20523/2*n^4+21*n^5)*p3^2*p1^2+576*(
6126026712-341739168*n+6511680*n^2-43920*n^3)*p2^3*p1^2+55296/5*(-\
32065088973890+34399555043215/6*n-1457183347305/4*n^2+63606338255/6*n^3-\
1805923225/12*n^4+1010810*n^5-8090/3*n^6)*p5*p1+6912*(-46515410174080+
7884414373580*n-4117492291025/9*n^2+34610947610/3*n^3-1221654425/9*n^4+2431600/
3*n^5-17840/9*n^6)*p4*p2+6912*(6628525204360-975364892180*n+156924960295/3*n^2-\
3999782980/3*n^3+17479765*n^4-347870/3*n^5+920/3*n^6)*p4*p1^2+3072*(-\
1141561704018+285957593521/2*n-27048640925/4*n^2+319345351/2*n^3-8245963/4*n^4+
14135*n^5-39*n^6)*p3*p1^3+72*(-3773952+62208*n)*p2^4*p1^2+55296/7*(-\
1944886387080+197923886538*n-6805600872*n^2+95568564*n^3-498414*n^4+672*n^5)*p7
*p1+864*(-1057248000+41777600*n-509200*n^2+2000*n^3)*p4^2*p1^2+768*(13304616000
-534780540*n+6820125*n^2-33630*n^3+45*n^4)*p4*p3^2+288*(-779905200+21953520*n-\
166320*n^2)*p4*p2^3+1024/3*(-1631233458+139126383/2*n-3873933/4*n^2+10017/2*n^3
-27/4*n^4)*p3^3*p1+384*(-1185750456+41159142*n-452070*n^2+1368*n^3)*p3^2*p2^2+
128*(-11890800+535518*n-8010*n^2+36*n^3)*p3^2*p1^4+18432/7*(-74952344040+
3539603382*n-46002831*n^2+197358*n^3-189*n^4)*p7*p3+9216/7*(-642653088+27958560
*n-364056*n^2+1176*n^3)*p7*p1^3+2304*(-81441264240+3599309420*n-40247025*n^2+
160510*n^3-105*n^4)*p6*p4+1152*(7459283496-249547326*n+2224446*n^2-3192*n^3)*p6
*p2^2+3456*(5744156880-279863160*n+3964080*n^2-13560*n^3)*p8*p1^2+512/9*(-\
168642+8127/2*n-27/2*n^2)*p3^3*p1^3+64*(592920-7776*n)*p3^2*p2^3+216*(-4864000+
67200*n)*p4^2*p2^2+181149696*p7*p6*p1+59719680*p7*p5*p2-5971968*p7*p5*p1^2+
169205760*p7*p4*p3-17915904*p7*p3^2*p1-2985984*p7*p3*p2^2+123863040*p6*p5*p3+
193536*p6*p5*p1^3+181149696*p11*p2*p1+395366400*p10*p3*p1-7907328*p10*p2*p1^2+
197683200*p9*p4*p1+143278080*p9*p3*p2-20275200*p9*p3*p1^2-1520640*p9*p2^2*p1+
168960*p9*p2*p1^3+134369280*p8*p5*p1+87091200*p8*p4*p2+1152*(154463208952-\
49622553430/3*n+2047554170/3*n^2-42725780/3*n^3+471496/3*n^4-752*n^5)*p2*p1^4+
288*(-535849136+30076368*n-609168*n^2+4512*n^3)*p2^2*p1^4+3456*(-1303665591008+
151802579882*n-19457857510/3*n^2+132942852*n^3-4157732/3*n^4+6152*n^5)*p2^2*p1^
2+18432*(-168198109149960+162376451441818/3*n-18627233798240/3*n^2+
2014245385231/6*n^3-56979427231/6*n^4+295793463/2*n^5-7814807/6*n^6+6252*n^7-37
/3*n^8)*p3*p1+13824*(44066091523200-33247199086040/3*n+9152958130841/9*n^2-\
408194953318/9*n^3+9912504641/9*n^4-137978152/9*n^5+1083980/9*n^6-3856/9*n^7)*
p2*p1^2+4608*(-2734172462000+249555320854*n-14419973827/2*n^2+79033311*n^3-\
676907/2*n^4+266*n^5)*p6*p2+18432/5*(-3414414079600+314224051070*n-18508345305/
2*n^2+108141865*n^3-1189065/2*n^4+1170*n^5)*p5*p3+9216/5*(-44266727980+
3356600885*n-90666615*n^2+1066420*n^3-4770*n^4)*p5*p1^3+1728*(511278508240-\
105629192180/3*n+779952500*n^2-21901360/3*n^3+26120*n^4)*p4*p2^2+576*(
5401874240-365379740*n+9200180*n^2-105960*n^3+480*n^4)*p4*p1^4-27648*p5*p3^2*p1
^3-1451520*p6*p4*p2^2-6451200*p6*p3^2*p2+1161216*p6*p3^2*p1^2-6967296*p5^2*p3*
p1-4147200*p5*p4^2*p1+61932125913088*n^7-1186068279296*n^8-2045952*p5*p2^2*p1^3
+28864512*p5*p2^3*p1+3732480*p4*p2^4-1244160*p4*p2^3*p1^2+12828409856*n^9-\
239951872/3*n^10+704512/3*n^11-746496*p3*p2^4*p1+82944*p3*p2^3*p1^3+6144*(-\
44784685770+4922786385/2*n-153121155/4*n^2+279015/2*n^3-165/4*n^4)*p9*p1-\
17418240*p8*p3*p2*p1+3456*(-55362710400+2504346120*n-29116680*n^2+81120*n^3)*p8
*p2+384*(58339008-2306262*n+28434*n^2-84*n^3)*p6*p1^4+864*(10137186400-\
1066092800/3*n+3825200*n^2-38800/3*n^3)*p4^2*p2+2304/25*(-3372900+118800*n-1200
*n^2)*p5*p1^5+768/5*(-579231060+38000745*n-990465*n^2+12240*n^3-60*n^4)*p3*p1^5
+48*(198720-3456*n)*p2^3*p1^4+4608*(312949470960-27275760862*n+1649274627/2*n^2
-10541902*n^3+104391/2*n^4-49*n^5)*p6*p1^2+384*(-55920+1080*n)*p4*p3*p2*p1^3+
4608/5*(658440-10800*n)*p5*p3*p2*p1^2+576*(625920-9360*n)*p4*p3*p2^2*p1+1536*(-\
7226982+241143/2*n-315/2*n^2)*p6*p3*p2*p1+6912/5*(-5376000+78000*n)*p5*p4*p2*p1
+192/5*(33212040-1856080*n+39840*n^2-320*n^3)*p2*p1^6+414720*p8*p3*p1^3-6220800
*p8*p4*p1^2+117780480*p8*p3^2+2304*(-1167377660+43925500*n-516930*n^2+1790*n^3)
*p4*p3*p2*p1-5419008*p6^2*p1^2-716636160*p7^2+27648*(317254910112000-\
2599664303666624/9*n+790130687437432/9*n^2-972319455366670/81*n^3+7491436109164
/9*n^4-833393157566/27*n^5+5610464914/9*n^6-187557064/27*n^7+132550/3*n^8-10664
/81*n^9)*p2+4608*(3386073600-84819280*n+167440*n^2)*p12+768*(-645624000+8950536
*n-17640*n^2)*p6^2+256/9*(-18020880+344628*n-1188*n^2)*p3^4+144*(-59460184160+
3166075872*n-55264032*n^2+342144*n^3)*p2^4+9216*(128904224248800-28768113434816
*n+6737565393650/3*n^2-77855854377*n^3+3734837309/3*n^4-8718913*n^5+76601/3*n^6
-14*n^7)*p6+27648/5*(315821906400-19731723440*n+333622575*n^2-1279850*n^3+715*n
^4)*p10+1152*(10306712746536-1320503789458*n+57677780306*n^2-1117963804*n^3+
10742340*n^4-44208*n^5)*p2^3+13824*(466779275289600-196209939555200*n+
261737427839875/9*n^2-17897686042340/9*n^3+205104069235/3*n^4-10801064690/9*n^5
+31918990/3*n^6-444140/9*n^7+860/9*n^8)*p4+6912*(-215425990586400+
203476039164376/3*n-67152495095573/9*n^2+375127559292*n^3-84865018781/9*n^4+
372213970/3*n^5-8106680/9*n^6+8944/3*n^7)*p2^2+2304*(-7760083494240+
4905007280152/3*n-131046128921*n^2+16072184360/3*n^3-377549303/3*n^4+1784362*n^
5-44260/3*n^6+56*n^7)*p1^4-1358622720*p8*p6-1297612800*p9*p5-3354624*p11*p1^3-\
1897758720*p10*p4+23721984*p10*p2^2-4737761280*p13*p1-1744404480*p12*p2+
201277440*p12*p1^2-3086254080*p11*p3+53222400*p6*p4^2+34836480*p5^2*p4-3391488*
p5*p3^3+32514048*p6^2*p2+88240628652056576/3*n^5-1812391761879040*n^6+
1101231489592320000*n^3-766570095352033280/3*n^4-2033504003832545280*n^2+3072*(
-52195657931160+8886123272398*n-520926006667*n^2+13507147935*n^3-171476494*n^4+
1221701*n^5-4519*n^6+6*n^7)*p3^2+72/5*(39968640-622080*n)*p2^5+27648/25*(-\
83822949000+3613941450*n-37129050*n^2+130200*n^3)*p5^2+144*(86640000-1444000*n+
4000*n^2)*p4^3+6912*(10696042156800-1301755448160*n+51996498870*n^2-807062700*n
^3+4386750*n^4-7080*n^5)*p8+1728*(-3604489603200+982821126200/3*n-28110669200/3
*n^2+103597800*n^3-1683400/3*n^4+3400/3*n^5)*p4^2+27648*(-151540142544000+
293611849497248/3*n-195605139433576/9*n^2+20302374028222/9*n^3-1121080726096/9*
n^4+35394902138/9*n^5-669453406/9*n^6+7770644/9*n^7-5938*n^8+172/9*n^9)*p1^2+
384/5*(-16675670160+1641226890*n-65163190*n^2+1373020*n^3-15800*n^4+80*n^5)*p1^
6
[4, 4, 4, 2, 2, 2, 2, 2]
-14438400*p4*p3^3*p1-24108237034236149760*n-4147200*p4*p3^2*p2^2+2764800*p4*p3^
2*p2*p1^2-1228800*p3^4*p2-153600*p4*p3^2*p1^4+409600*p3^4*p1^2+2048*p3^3*p1^5+
276480*p3^3*p2^2*p1-61440*p3^3*p2*p1^3+737280/7*(-8700614370+369251988*n-\
3915576*n^2+7056*n^3)*p7*p2*p1+81920*(-11475069186+2018729041/4*n-47632305/8*n^
2+79415/4*n^3-63/8*n^4)*p6*p3*p1+11520*(-1276000+21600*n)*p4^2*p2*p1^2+10240*(
8825250-147870*n+270*n^2)*p4*p3^2*p2+10240*(-2227050+42870*n-90*n^2)*p4*p3^2*p1
^2+1024*(-34560+780*n)*p4*p3*p1^5+15360*(14806800-264800*n+600*n^2)*p4^2*p3*p1+
5120*(70770-1008*n)*p6*p2*p1^4+24576*(-89836110+1453830*n-3150*n^2)*p5*p4*p3+
12288*(-1940400+35700*n)*p5*p4*p1^3+16384*(13643217-479241/2*n+945/2*n^2)*p5*p3
^2*p1+12288*(4820886-68040*n)*p5*p3*p2^2+4096*(245070-5040*n)*p5*p3*p1^4+30720*
(14226450-251790*n+210*n^2)*p6*p4*p1^2+40960/3*(-1877841+75159/2*n-63/2*n^2)*p6
*p3*p1^3+15360*(-363762+3780*n)*p6*p2^2*p1^2+122880/7*(-864360+13104*n)*p7*p2*
p1^3+49152*(-98175861+2941029/2*n-2205/2*n^2)*p6*p5*p1+30720*(-59469690+887670*
n-630*n^2)*p6*p4*p2+184320/7*(3996216-48384*n)*p7*p2^2*p1+245760/7*(13543488-\
264306*n+378*n^2)*p7*p3*p1^2+46080*(7646760-118800*n)*p8*p2*p1^2+368640/7*(-\
98448840+1691760*n-2520*n^2)*p7*p4*p1+245760/7*(-56830032+910854*n-1134*n^2)*p7
*p3*p2+81920*(-57811215+1867635/2*n-495/2*n^2)*p9*p2*p1+61440*(-91116564+
1723986*n-2970*n^2)*p8*p3*p1-27648000*p4^2*p3*p2*p1-23224320*p5*p3^2*p2*p1+
232243200*p5*p4*p3*p2-77414400*p5*p4*p3*p1^2-5806080*p6*p3*p2^2*p1+1290240*p6*
p3*p2*p1^3+750489600*p6*p4*p3*p1-19353600*p6*p4*p2*p1^2+162570240*p6*p5*p2*p1-\
39813120*p7*p3*p2*p1^2+398131200*p7*p4*p2*p1+245760*(-8631331725681+
14958557412431/12*n-1527059196295/24*n^2+4423624414/3*n^3-401145809/24*n^4+
381335/4*n^5-206*n^6)*p3*p2*p1+20480*(-255360675+11004860*n-139350*n^2+430*n^3)
*p4*p3*p1^3+23040*(-142532780+4691160*n-41040*n^2)*p4*p2^2*p1^2+7680*(23816700-\
909040*n+9120*n^2)*p4*p2*p1^4+20480*(-196868520+7552428*n-87138*n^2+234*n^3)*p3
^2*p2*p1^2+10240*(-96993153+2942406*n-24300*n^2)*p3*p2^3*p1+10240*(17200857-\
596844*n+5616*n^2)*p3*p2^2*p1^3+2048*(-2775357+112134*n-1224*n^2)*p3*p2*p1^5+
147456*(-458691204174+37625729281*n-1002693804*n^2+10196921*n^3-36750*n^4)*p5*
p2*p1+122880*(-549664295186+136465124257/3*n-3733405330/3*n^2+83300335/6*n^3-\
211655/3*n^4+235/2*n^5)*p4*p3*p1+92160*(76104945080-17112383480/3*n+144064580*n
^2-4377700/3*n^3+5280*n^4)*p4*p2*p1^2+61440*(74279418726-4824916319*n+105098400
*n^2-966552*n^3+3159*n^4)*p3*p2^2*p1+40960*(-11537321586+808338076*n-19794909*n
^2+201755*n^3-714*n^4)*p3*p2*p1^3+73728*(-12423064395+532133560*n-5940270*n^2+
19250*n^3)*p5*p4*p1+49152*(-9705014172+345380784*n-3601164*n^2+10080*n^3)*p5*p3
*p2+49152*(1751254176-74968278*n+897792*n^2-2730*n^3)*p5*p3*p1^2+36864*(
1063922769-34275024*n+280980*n^2)*p5*p2^2*p1+24576*(-182826945+6914670*n-65100*
n^2)*p5*p2*p1^3+61440*(1309343700-52144764*n+518658*n^2-546*n^3)*p6*p2*p1^2+
40960/9*(-1346193+47709/2*n-81/2*n^2)*p3^3*p2*p1+5120*(101898-1620*n)*p3^2*p2^2
*p1^2+5120/3*(-22554+432*n)*p3^2*p2*p1^4+46080*(640544520-10616760*n+19800*n^2)
*p8*p4+73728*(-83012930+1926210*n-1430*n^2)*p10*p1^2+163840/3*(579743010-\
10652730*n+20130*n^2)*p9*p3+81920/3*(11735955-518925/2*n+165/2*n^2)*p9*p1^3+
1474560/11*(545783238-13204191*n+15015*n^2)*p11*p1+73728*(396325930-6696690*n+
4290*n^2)*p10*p2+163840*(53228266245-12235186315/4*n+381498315/8*n^2-552365/4*n
^3+165/8*n^4)*p9*p1+92160*(54511976904-2462160888*n+27655848*n^2-63360*n^3)*p8*
p2+92160*(-8963381592+475486176*n-6914424*n^2+17160*n^3)*p8*p1^2+245760/7*(
1430472834-70252392*n+943152*n^2-1848*n^3)*p7*p1^3+61440*(80002661424-\
3534326425*n+76099275/2*n^2-132545*n^3+105/2*n^4)*p6*p4+5760*(5431200-79200*n)*
p4^2*p2^2+1920*(271200-5600*n)*p4^2*p1^4+73728/5*(-57863610+793800*n)*p5^2*p2+
40960/3*(-84574224+1396962*n-2898*n^2)*p6*p3^2+12288/7*(158760-3360*n)*p7*p1^5+
23040*(-33779592+427680*n)*p8*p2^2+7680*(-1490280+31680*n)*p8*p1^4+294912/7*(
659436120-9468270*n+13230*n^2)*p7*p5+3072000*p4^2*p3*p1^3+2580480*p5*p3^2*p1^3+
387072000*p5*p4^2*p1+325140480*p5^2*p3*p1-39567360*p6*p3^2*p1^2-43008*p6*p3*p1^
5+1075200*p6*p4*p1^4+118702080*p6*p3^2*p2-18063360*p6*p5*p1^3+29030400*p6*p4*p2
^2-3092447232*p6*p5*p3-6162186240*p7*p6*p1-1672151040*p7*p5*p2+557383680*p7*p5*
p1^2-3782246400*p7*p4*p3-44236800*p7*p4*p1^3+420249600*p7*p3^2*p1+59719680*p7*
p3*p2^2+2211840*p7*p3*p1^4+316293120*p10*p2*p1^2-10779648000*p9*p4*p1-\
3298099200*p9*p3*p2+1099366400*p9*p3*p1^2+30412800*p9*p2^2*p1-6758400*p9*p2*p1^
3-7664025600*p8*p5*p1-2737152000*p8*p4*p2+912384000*p8*p4*p1^2-60825600*p8*p3*
p1^3-6038323200*p11*p2*p1-12476006400*p10*p3*p1+46080*(-492799600608+
34052149580*n-747524440*n^2+6791960*n^3-22980*n^4)*p4*p2^2+15360*(-11647723280+
2745148180/3*n-76399060/3*n^2+884360/3*n^3-3440/3*n^4)*p4*p1^4+40960*(-\
558377926542+78601124935/2*n-3625596009/4*n^2+18687941/2*n^3-175371/4*n^4+63*n^
5)*p3^2*p2+40960*(87129093630-13393177143/2*n+714478181/4*n^2-2059215*n^3+42103
/4*n^4-33/2*n^5)*p3^2*p1^2+4096*(1758218910-129859063*n+3481807*n^2-39656*n^3+
152*n^4)*p3*p1^5-38666240/9*n^11+7680*(1396159656-86910800*n+1830432*n^2-13440*
n^3)*p2^2*p1^4+1024*(-204154464+13394616*n-307104*n^2+2496*n^3)*p2*p1^6+294912*
(29972447402625-22248036314189/4*n+8815362909227/24*n^2-44102182383/4*n^3+
3761061437/24*n^4-983878*n^5+7210/3*n^6)*p5*p1+184320*(41316697577876-\
21235866855011/3*n+2473050941197/6*n^2-30880163135/3*n^3+234357365/2*n^4-\
1992200/3*n^5+4540/3*n^6)*p4*p2+184320*(-6937508595388+1093853064229*n-\
1132631148203/18*n^2+5084629120/3*n^3-404720825/18*n^4+419135/3*n^5-3040/9*n^6)
*p4*p1^2+81920*(1392150844413-767966568297/4*n+237592373719/24*n^2-984566353/4*
n^3+75161701/24*n^4-38893/2*n^5+271/6*n^6)*p3*p1^3+92160*(1480226451424-\
557649249994/3*n+8473401304*n^2-538633940/3*n^3+1847862*n^4-7956*n^5)*p2^2*p1^2
+30720*(-232495460520+85296165602/3*n-3953752358/3*n^2+88928860/3*n^3-1000096/3
*n^4+1552*n^5)*p2*p1^4+491520*(144750620936628-717654145755421/15*n+
254512124234902/45*n^2-11350777594945/36*n^3+328537587053/36*n^4-25484533463/
180*n^5+212455177/180*n^6-46864/9*n^7+53/6*n^8)*p3*p1+1280*(-589680+10368*n)*p2
^3*p1^4+256*(46224-864*n)*p2^2*p1^6+122880*(2562527642766-470303465107/2*n+
26975432757/4*n^2-142292297/2*n^3+1103151/4*n^4-147*n^5)*p6*p2+122880*(-\
391311445630+74078386739/2*n-4788785785/4*n^2+15480367*n^3-262451/4*n^4+77/2*n^
5)*p6*p1^2+49152*(70228624746-6001392460*n+177947350*n^2-2138948*n^3+8330*n^4)*
p5*p1^3+30720*(-7465977960+248850630*n-2131038*n^2+2016*n^3)*p6*p2^2+10240*(-\
212948400+9730882*n-119742*n^2+140*n^3)*p6*p1^4+12288/5*(29076285-1257480*n+
14280*n^2)*p5*p1^5+23040*(-10192043400+360818400*n-3815600*n^2+11600*n^3)*p4^2*
p2+23040*(1843037800-235526800/3*n+941200*n^2-9200/3*n^3)*p4^2*p1^2+7680*(
773404380-22384080*n+174960*n^2)*p4*p2^3+512*(-3695820+162360*n-1920*n^2)*p4*p1
^6+81920/9*(1780912548-281761029/4*n+6923637/8*n^2-14211/4*n^3+27/8*n^4)*p3^3*
p1+10240*(1025349036-34388190*n+352998*n^2-864*n^3)*p3^2*p2^2+10240/3*(34696548
-1537050*n+20358*n^2-60*n^3)*p3^2*p1^4+2048/21*(422541-19908*n+252*n^2)*p3*p1^7
+1920*(4704480-77760*n)*p2^4*p1^2+40960/27*(331533-13635/2*n+27/2*n^2)*p3^3*p1^
3+5120/3*(-429138+5832*n)*p3^2*p2^3+1024/9*(4482-108*n)*p3^2*p1^6+5120*(1672650
-13608*n)*p6*p2^3+73728/5*(13840050-220500*n)*p5^2*p1^2+93696000*p4^2*p3^2+
20480*(-12196447956+459293245*n-10684455/2*n^2+22205*n^3-45/2*n^4)*p4*p3^2+
491520/7*(71718944472-3274058151*n+76829403/2*n^2-137445*n^3+189/2*n^4)*p7*p3+
1024/3*(-11466+252*n)*p6*p1^6+200038809600*p13*p1+368640*(-40407288017400+
10689121747485*n-18722790902791/18*n^2+147903297227/3*n^3-22648962433/18*n^4+
53578840/3*n^5-1239302/9*n^6+476*n^7)*p2*p1^2+547430400*p8*p3*p2*p1+1474560/7*(
2027169706884-215827178056*n+7690383491*n^2-107577806*n^3+492667*n^4-504*n^5)*
p7*p1+98304*(3174925037970-582167095601/2*n+33357627583/4*n^2-180399247/2*n^3+
1781213/4*n^4-735*n^5)*p5*p3+15360*(-9238478032+538767720*n-10285920*n^2+68688*
n^3)*p2^3*p1^2+61440*(1429760955-52549570*n+580470*n^2-1650*n^3)*p4*p3*p2*p1+
15360*(-740520+11340*n)*p4*p3*p2^2*p1+10240*(168720-3060*n)*p4*p3*p2*p1^3+24576
*(-1138830+18900*n)*p5*p3*p2*p1^2+36864*(8610000-132300*n)*p5*p4*p2*p1+40960*(
8215221-267561/2*n+189/2*n^2)*p6*p3*p2*p1+45622886400*p12*p2-15360000*p4^3*p1^2
-1774080000*p6*p4^2+17517772800*p7^2-696729600*p5*p2^3*p1-2064384*p5*p2*p1^5+
108380160*p5*p2^2*p1^3-74649600*p4*p2^4-2764800*p4*p2^2*p1^4+49766400*p4*p2^3*
p1^2+14929920*p3*p2^4*p1+110592*p3*p2^2*p1^5-3317760*p3*p2^3*p1^3-1200232857600
*p14-69373994105060851712/3*n^3+48639132433266147328/9*n^4+42416627647071256576
*n^2+115647200933445632/3*n^6-5628065071014608896/9*n^5+122880*(-3407236560+
84775600*n-123760*n^2)*p12+20480*(666167544-9028152*n+10584*n^2)*p6^2+147456/5*
(82600631820-3589127010*n+36548610*n^2-117600*n^3)*p5^2+147456*(-303095913120+
56802951205/3*n-623842505/2*n^2+3028025/3*n^3-715/2*n^4)*p10+20480/27*(12120840
-213084*n+540*n^2)*p3^4+81920*(46243145140668-39639026458307/5*n+2771940886091/
6*n^2-23203102319/2*n^3+409022020/3*n^4-8787481/10*n^5+16901/6*n^6-3*n^7)*p3^2+
384*(-29976480+466560*n)*p2^5+184320*(181955580176664-871095399474863/15*n+
12907639258663/2*n^2-977181037330/3*n^3+48794799343/6*n^4-1569998537/15*n^5+
2209360/3*n^6-2360*n^7)*p2^2+184320*(-9759362492880+1194938360726*n-47517602649
*n^2+715633402*n^3-3490179*n^4+4620*n^5)*p8+46080*(3367878675560-921691173040/3
*n+26087837300/3*n^2-276230500/3*n^3+1394500/3*n^4-2500/3*n^5)*p4^2+245760*(-\
111843206715240+126092300186958/5*n-5935234415740/3*n^2+136392931717/2*n^3-\
6364844927/6*n^4+69015149/10*n^5-109025/6*n^6+7*n^7)*p6+30720*(-9426446017128+
1221601039826*n-53550082976*n^2+1028621688*n^3-9658026*n^4+38664*n^5)*p2^3+
73452948127744/3*n^8-3920081836310528/3*n^7+368640*(-386937709081560+
164508360362731*n-443069024272381/18*n^2+15215250188612/9*n^3-1040636680673/18*
n^4+8924011217/9*n^5-75115081/9*n^6+327950/9*n^7-590/9*n^8)*p4+256/7*(29085336-\
2023280*n+50400*n^2-448*n^3)*p1^8+3840*(58833553080-3123833904*n+54045792*n^2-\
331776*n^3)*p2^4+3840*(-96516000+1600000*n-4000*n^2)*p4^3+737280*(-\
253414985443200+1164549157896552/5*n-3219019970857166/45*n^2+1332240506312593/
135*n^3-6187447904252/9*n^4+1143633450277/45*n^5-22731305869/45*n^6+81724508/15
*n^7-300733/9*n^8+2596/27*n^9)*p2+61440*(8121265334136-5636848006391/3*n+
3008915859739/18*n^2-68284267300/9*n^3+3502333597/18*n^4-26158897/9*n^5+218786/
9*n^6-820/9*n^7)*p1^4+737280*(123587649158400-3675633785134184/45*n+
841249878010862/45*n^2-816376570629127/405*n^3+1048412546410/9*n^4-520905804743
/135*n^5+3411523943/45*n^6-120237946/135*n^7+18095/3*n^8-1534/81*n^9)*p1^2+2048
*(36294870240-4338480026*n+202927158*n^2-4754572*n^3+57168*n^4-288*n^5)*p1^6+
46080000*p4^3*p2-1625702400*p5^2*p4+57802752*p5*p3^3+216760320*p6^2*p1^2-\
650280960*p6^2*p2-15207628800*p12*p1^2+68165959680*p11*p3+670924800*p11*p1^3+
59041382400*p10*p4-474439680*p10*p2^2-17571840*p10*p1^4+44962283520*p9*p5+
225280*p9*p1^5+37298257920*p8*p6-2165391360*p8*p3^2-764129312768/3*n^9+
13705871360/9*n^10
[4, 4, 3, 3, 3, 3]
-58730053095456768*n+1296*p3^2*p2^4+6718464*p7*p3*p1^2+8398080*p8*p2*p1^2+
1632960*p6*p4*p1^2+3359232*p5^2*p1^2-80061696*p10*p1^2+22768128*p5*p3^2*p1+
290304*p6*p3^2*p2+4665600*p3^4+7776/7*(162288-2016*n)*p7*p2^2*p1+15552/7*(-\
496440+5040*n)*p7*p4*p1+10368/7*(-4236120+95508*n-756*n^2)*p7*p3*p2+3456*(-\
827640+7920*n)*p9*p2*p1+2592*(-374850+1980*n)*p8*p3*p1+648*(57300-600*n)*p4^2*
p3*p1+432*(533700-10890*n+90*n^2)*p4*p3^2*p2+1296/5*(-31440+480*n)*p5*p2^3*p1+
2592/5*(868320-21780*n+180*n^2)*p5*p3*p2^2+5184/5*(-2953800+56250*n-450*n^2)*p5
*p4*p3+1296*(-3825780+45570*n-210*n^2)*p6*p4*p2+10368/5*(-427980+3360*n)*p6*p5*
p1+10368*(-292080523824+77115653811/2*n-3809344505/2*n^2+403151167/8*n^3-\
6883751/8*n^4+79683/8*n^5-581/8*n^6+1/4*n^7)*p3*p2*p1+10368/5*(3879360-65430*n+
270*n^2)*p5*p3*p1^2+7776/5*(32242080-1233300*n+19020*n^2-120*n^3)*p5*p2^2*p1+
5184/5*(-141480+2160*n)*p5*p2*p1^3+864*(-83700+1080*n)*p4*p3*p1^3+972*(-1147320
+25600*n-160*n^2)*p4*p2^2*p1^2+864*(-671076+12726*n-54*n^2)*p3^2*p2*p1^2+432*(-\
5363592+214164*n-3564*n^2+24*n^3)*p3*p2^3*p1+432*(25704-432*n)*p3*p2^2*p1^3+
31104/5*(-11974921140+892575795*n-50964315/2*n^2+397380*n^3-7185/2*n^4+15*n^5)*
p5*p2*p1+5184*(-12010172010+1525318725/2*n-69961215/4*n^2+233220*n^3-7545/4*n^4
+15/2*n^5)*p4*p3*p1+3888*(877408800-45131150*n+894310*n^2-9000*n^3+40*n^4)*p4*
p2*p1^2+2592*(2135773968-146150781*n+8378055/2*n^2-69528*n^3+1353/2*n^4-3*n^5)*
p3*p2^2*p1+1728*(-42065100+1479042*n-20214*n^2+108*n^3)*p3*p2*p1^3+54*(5712-96*
n)*p3*p2^4*p1+31104/7*(-173435976+6600300*n-90132*n^2+504*n^3)*p7*p2*p1+3456*(-\
137111100+3519684*n-36792*n^2+168*n^3)*p6*p3*p1+2592*(6724452-124222*n+574*n^2)
*p6*p2*p1^2+15552/5*(-155415000+4304850*n-54150*n^2+300*n^3)*p5*p4*p1+10368/5*(
-524169360+24948135*n-986175/2*n^2+5175*n^3-45/2*n^4)*p5*p3*p2+62208/11*(
4129125-30030*n)*p11*p1+15552/5*(25954500-656370*n+4290*n^2)*p10*p2+576*(-\
2288160+31752*n-252*n^2)*p6*p3^2+84913920*p11*p3+2304*(20129175-392040*n+2970*n
^2)*p9*p3+1944*(21943800-309600*n+1800*n^2)*p8*p4+972*(-5030640+113040*n-720*n^
2)*p8*p2^2+62208/35*(25467120-492660*n+3780*n^2)*p7*p5+10368/7*(730296-9072*n)*
p7*p1^3+2592*(3023269830-268105845/2*n+7161735/4*n^2-22155/2*n^3+105/4*n^4)*p6*
p4+1296*(-544167288+27000057*n-944307/2*n^2+3675*n^3-21/2*n^4)*p6*p2^2+72*(-\
159048+4212*n-36*n^2)*p3^2*p2^3+81/2*(-116160+960*n)*p4*p2^4-1283040*p8*p3^2+
243*(588000-4800*n)*p4^2*p2^2+216*(860328-15204*n+84*n^2)*p6*p2^3+82114560*p9*
p5+15552/25*(-4966200+112500*n-900*n^2)*p5^2*p2-6998400*p8*p4*p2-13685760*p9*p3
*p2+466560*p8*p2^3+3888*(33530096376-3499754335*n+288784513/2*n^2-3342127*n^3+
98459/2*n^4-450*n^5+2*n^6)*p2^2*p1^2+1296*(-1463157324+90851316*n-2208156*n^2+
27072*n^3-144*n^4)*p2*p1^4+20736*(6606237031500-16473920040829/8*n+
7326663778377/32*n^2-391503366445/32*n^3+46831427303/128*n^4-446608201/64*n^5+
5967011/64*n^6-14109/16*n^7+687/128*n^8-1/64*n^9)*p3*p1+15552*(-1529306114832+
1053994768085/3*n-348653272711/12*n^2+9541960481/8*n^3-234383329/8*n^4+11726077
/24*n^5-45689/8*n^6+131/3*n^7-1/6*n^8)*p2*p1^2+1728*(707245668-55043199/2*n+
1709973/4*n^2-6201/2*n^3+27/4*n^4)*p3^2*p1^2+864/5*(192780-3240*n)*p3*p1^5+648*
(-160197264+9214652*n-222348*n^2+2816*n^3-16*n^4)*p2^3*p1^2+324*(2230416-66240*
n+576*n^2)*p2^2*p1^4+62208/5*(1104127381665-184350664195*n+43817879915/4*n^2-\
2523363315/8*n^3+42212365/8*n^4-455835/8*n^5+3085/8*n^6-5/4*n^7)*p5*p1+7776*(
1886843875950-670794139195/2*n+263578676995/12*n^2-4322755795/6*n^3+162954785/
12*n^4-919805/6*n^5+965*n^6-5/2*n^7)*p4*p2+7776*(-170775566550+40199994815/2*n-\
3260353365/4*n^2+32159205/2*n^3-765735/4*n^4+1390*n^5-5*n^6)*p4*p1^2+3456*(
18013968504-2814304653/2*n+149140359/4*n^2-525798*n^3+16353/4*n^4-27/2*n^5)*p3*
p1^3+10368/5*(287540100-8818290*n+107190*n^2-540*n^3)*p5*p1^3+1944*(-\
25545818280+6635025140/3*n-72290300*n^2+3501670/3*n^3-9520*n^4+30*n^5)*p4*p2^2+
648*(-9619560+223920*n-1440*n^2)*p4*p1^4+1728*(-25400286900+4169441139/2*n-\
137584131/2*n^2+10587171/8*n^3-130257/8*n^4+945/8*n^5-3/8*n^6)*p3^2*p2+81*(
257328-7360*n+64*n^2)*p2^4*p1^2+62208/7*(54360735975-4760473557*n+285412869/2*n
^2-2070390*n^3+33411/2*n^4-63*n^5)*p7*p1+5184*(114665714352-70308477673/6*n+
882690291/2*n^2-199054709/24*n^3+680477/8*n^4-3549/8*n^5+7/8*n^6)*p6*p2+5184*(-\
4964154048+545142787/2*n-18936897/4*n^2+77413/2*n^3-511/4*n^4)*p6*p1^2+20736/5*
(130354798905-12379004565*n+1696161435/4*n^2-61441935/8*n^3+708075/8*n^4-4905/8
*n^5+15/8*n^6)*p5*p3+972*(-525321900+21119400*n-266400*n^2+1200*n^3)*p4^2*p2+
972*(4560300-82000*n+400*n^2)*p4^2*p1^2+864*(-425987010+31931145/2*n-1084995/4*
n^2+5175/2*n^3-45/4*n^4)*p4*p3^2+324*(96150600-4039920*n+54960*n^2-240*n^3)*p4*
p2^3+384*(13596660-267300*n+1620*n^2)*p3^3*p1+432*(88946496-4291101*n+181791/2*
n^2-999*n^3+9/2*n^4)*p3^2*p2^2+6912*(888660135-34662870*n+412830*n^2-1980*n^3)*
p9*p1+3888*(2677460670-152147520*n+3040470*n^2-27180*n^3+90*n^4)*p8*p2+3888*(-\
38673630+619440*n-2400*n^2)*p8*p1^2+20736/7*(2724471351-131312853*n+4665843/2*n
^2-22743*n^3+189/2*n^4)*p7*p3-38880*p4*p3^2*p2^2+1119744*p7*p3*p2^2-3483648*p6*
p5*p3+272160*p6*p4*p2^2-5598720*p7*p4*p3-13436928*p7*p5*p2-326592*p6*p2^2*p1^2-\
1119744*p5*p3*p2*p1^2-233280*p4*p3^2*p1^2-1244160*p3^3*p2*p1+46656*p3^2*p2^2*p1
^2+23328*p2^6+13154215545938592*n^4-55908940030641072*n^3-979776*p6*p1^4-\
1808386560*p14+139968*p3^2*p1^4+102956883721737408*n^2-4317943463352*n^7+
113974142256*n^8+7776*(8960180196528-2880982089452*n+1351592678733/4*n^2-\
59125158083/3*n^3+31851261389/48*n^4-168848003/12*n^5+4610807/24*n^6-19073/12*n
^7+99/16*n^8)*p2^2+15552*(-19613323416960+16563522764755/2*n-30173754843155/24*
n^2+551018620055/6*n^3-117639503575/32*n^4+2812652885/32*n^5-63579545/48*n^6+
601145/48*n^7-2175/32*n^8+5/32*n^9)*p4-680400*p6*p4^2+66718080*p10*p4-62208*p5*
p3*p2^3-13343616*p10*p2^2-2032128*p6^2*p2+35108640*p8*p6+97200*p4^2*p3^2-\
2799360*p5^2*p4+559872*p5^2*p2^2-9072*p6*p2^4+40310784*p7^2+5184*(-126977760+
3363360*n-21840*n^2)*p12+162*(-2502000+18000*n)*p4^3+864*(22512168-223440*n+
1176*n^2)*p6^2+31104/5*(-11988816840+1564899765/2*n-67368015/4*n^2+315315/2*n^3
-2145/4*n^4)*p10+31104*(6397172107200-32078841855251/8*n+82122598354469/96*n^2-\
8112516860363/96*n^3+1707831973283/384*n^4-13291712915/96*n^5+543592865/192*n^6
-1317941/32*n^7+55169/128*n^8-287/96*n^9+1/96*n^10)*p1^2+1296*(-457646998464+
68086576161*n-23616131617/6*n^2+359142005/3*n^3-12696833/6*n^4+63916/3*n^5-97*n
^6)*p2^3+105834044239884*n^6-1573734211230708*n^5+24277212*n^10-2029363092*n^9+
648*n^12-181008*n^11+2592*(24311940-759570*n+10230*n^2-60*n^3)*p4*p3*p2*p1+648*
(-18600+240*n)*p4*p3*p2^2*p1+1728*(81312-672*n)*p6*p3*p2*p1+7776/5*(100200-1200
*n)*p5*p4*p2*p1+933120*p5*p4*p3*p2+226437120*p12*p2+162*(4748042016-1156066112/
3*n+11933144*n^2-524176/3*n^3+1048*n^4)*p2^4+7776*(-416233097280+52192978330*n-\
2326123710*n^2+98657335/2*n^3-1121565/2*n^4+6525/2*n^5-15/2*n^6)*p8+31104/25*(
3215595600-154001025*n+5453775/2*n^2-26775*n^3+225/2*n^4)*p5^2+81/5*(-16913520+
648480*n-6720*n^2)*p2^5+10368*(-5197501288980+9429640153185/8*n-9328541033539/
96*n^2+373083316417/96*n^3-33053573021/384*n^4+27222965/24*n^5-561547/64*n^6+
1141/32*n^7-7/128*n^8)*p6+432/5*(25004700-745200*n+6480*n^2)*p1^6+1944*(
137845766400-38546753300/3*n+410518550*n^2-18109450/3*n^3+45850*n^4-150*n^5)*p4
^2+3456*(2065399726104-2867134218393/8*n+721169721309/32*n^2-22678498119/32*n^3
+1740851547/128*n^4-1444107/8*n^5+105879/64*n^6-297/32*n^7+3/128*n^8)*p3^2+
31104*(-13869976075200+302393339977201/24*n-1110633331985983/288*n^2+
156360115709419/288*n^3-46754841666889/1152*n^4+1020298494001/576*n^5-\
28054277213/576*n^6+31979569/36*n^7-1379433/128*n^8+46673/576*n^9-7/24*n^10)*p2
+2592*(183885386544-28275696903*n+2942056197/2*n^2-36064335*n^3+1044615/2*n^4-\
4482*n^5+18*n^6)*p1^4
[4, 4, 3, 3, 3, 2, 2]
1161115416982978560*n-261729134870949312*n^4+1112428675337438976*n^3-\
2040847955663874048*n^2+20736/7*(9576763896-435071196*n+6766011*n^2-42294*n^3+
63*n^4)*p7*p2*p1+2592*(5309667840-228221130*n+3375675*n^2-22590*n^3+45*n^4)*p8*
p1^2+13824/7*(-105250057920+5161718604*n-81492012*n^2+596400*n^3-1512*n^4)*p7*
p3+2304*(10761901836-927407593/2*n+7318164*n^2-56623*n^3+315/2*n^4)*p6*p3*p1+
5184*(-63214105452840+33363376463705/3*n-12540483964565/18*n^2+247599001565/12*
n^3-5945843585/18*n^4+9302575/3*n^5-145570/9*n^6+415/12*n^7)*p4*p2+5184*(
7865740770480-3337476342320/3*n+58043315300*n^2-6118005735/4*n^3+23776600*n^4-\
690215/3*n^5+1275*n^6-35/12*n^7)*p4*p1^2+2304*(-1196317415988+137620537755*n-\
48744237837/8*n^2+2341410441/16*n^3-35900751/16*n^4+363321/16*n^5-2223/16*n^6+3
/8*n^7)*p3*p1^3+1152*(-66617960112+4566482019*n-1015295457/8*n^2+32305059/16*n^
3-312939/16*n^4+1629/16*n^5-3/16*n^6)*p3^2*p1^2+2304*(70459290-1443420*n+5940*n
^2)*p9*p2*p1+576/5*(-227516760+8468010*n-114030*n^2+540*n^3)*p3*p1^5+36*(-\
199968+2880*n)*p3*p2^4*p1+432*(9515517216-623108744*n+48501302/3*n^2-207064*n^3
+3370/3*n^4)*p2^3*p1^2+1152*(881562138480-138914054247/2*n+16231158195/8*n^2-\
493940691/16*n^3+4286031/16*n^4-18885/16*n^5+27/16*n^6)*p3^2*p2+1296*(
812163048760-64305525690*n+5489418520/3*n^2-75804910/3*n^3+535790/3*n^4-1490/3*
n^5)*p4*p2^2+432*(3377771040-166885530*n+3114930*n^2-28920*n^3+120*n^4)*p4*p1^4
+41472/7*(-2409126403320+241658618838*n-17098418435/2*n^2+570134565/4*n^3-\
4948349/4*n^4+19803/4*n^5-21/4*n^6)*p7*p1+3456*(-3903129569220+2297562630055/6*
n-103962606055/8*n^2+9697314277/48*n^3-25466035/16*n^4+88865/16*n^5-63/16*n^6)*
p6*p2+6912*(11373958849764-1599488122154*n+667017322573/8*n^2-35531115705/16*n^
3+564036507/16*n^4-5554181/16*n^5+31315/16*n^6-37/8*n^7)*p3*p2*p1+3456*(
335321291760-27208153798*n+19372876159/24*n^2-192964583/16*n^3+4829965/48*n^4-\
6489/16*n^5+7/16*n^6)*p6*p1^2+13824/5*(-4677509945700+891071960145/2*n-\
115693370415/8*n^2+3491114955/16*n^3-29698095/16*n^4+130365/16*n^5-195/16*n^6)*
p5*p3+6912/5*(-38361136320+2504783295*n-249419835/4*n^2+838080*n^3-25875/4*n^4+
45/2*n^5)*p5*p1^3+1728*(-94415842572+6760257125*n-379856037/2*n^2+2776182*n^3-\
42903/2*n^4+67*n^5)*p3*p2^2*p1+216*(-2295651960+256283440/3*n-1066440*n^2+13880
/3*n^3)*p4*p2^3+256*(-1748798748+148721751/2*n-1308150*n^2+11745*n^3-81/2*n^4)*
p3^3*p1+288*(-2585328840+106871325*n-3303891/2*n^2+11307*n^3-45/2*n^4)*p3^2*p2^
2+2592*(-62262784180+4285226140*n-343789085/3*n^2+1604365*n^3-35695/3*n^4+35*n^
5)*p4*p2*p1^2+96*(-2588544+50490*n-162*n^2)*p3^2*p1^4+54*(-18546176+622496*n-\
5856*n^2)*p2^4*p1^2+3456*(607509984720-47563499780*n+2733778185/2*n^2-81865725/
4*n^3+713065/4*n^4-3235/4*n^5+5/4*n^6)*p4*p3*p1+36*(649680-20544*n+192*n^2)*p2^
3*p1^4+6912/7*(-418056912+13489182*n-153594*n^2+756*n^3)*p7*p1^3+1728*(-\
113966438880+15523177705/3*n-69410985*n^2+1361360/3*n^3-1050*n^4)*p6*p4+20736/5
*(537717862950-87456959885/2*n+1306637225*n^2-19438665*n^3+301835/2*n^4-485*n^5
)*p5*p2*p1+288*(233754000-9161930*n+126750*n^2-628*n^3)*p3*p2^3*p1+288*(-\
10913976+419022*n-6210*n^2+36*n^3)*p3*p2^2*p1^3+288/5*(119880-2160*n)*p3*p2*p1^
5+864*(15490266176-670674529*n+18927783/2*n^2-51695*n^3+105/2*n^4)*p6*p2^2+576*
(145558116-12054933/2*n+411399/4*n^2-1683/2*n^3+9/4*n^4)*p3^2*p2*p1^2+576*(
56362860-1621215*n+18045*n^2-90*n^3)*p4*p3*p1^3+648*(131568800-4778640*n+61400*
n^2-280*n^3)*p4*p2^2*p1^2+288*(21752304-414834*n+1722*n^2)*p6*p1^4+216*(-\
3366600+78720*n-480*n^2)*p4*p2*p1^4+1728/25*(-664200+10800*n)*p5*p1^5+1728*(-\
891121280+71043217/2*n-2086203/4*n^2+6615/2*n^3-21/4*n^4)*p6*p2*p1^2+10368/5*(
10984177800-429252625*n+5808300*n^2-37250*n^3+75*n^4)*p5*p4*p1+648*(17042616400
-1989024800/3*n+8909100*n^2-163600/3*n^3+100*n^4)*p4^2*p2+648*(-842701600+
26655000*n-306000*n^2+1400*n^3)*p4^2*p1^2+6912/5*(17326344600-735082515*n+
22037985/2*n^2-74835*n^3+315/2*n^4)*p5*p3*p2+6912/5*(-923564340+70153785/2*n-\
2164995/4*n^2+8415/2*n^3-45/4*n^4)*p5*p3*p1^2+576*(18375935400-753091935*n+
11771505*n^2-91920*n^3+270*n^4)*p4*p3^2+5184/5*(-1556308620+62640790*n-863730*n
^2+4340*n^3)*p5*p2^2*p1+3456/5*(68499630-2415510*n+32490*n^2-180*n^3)*p5*p2*p1^
3+4608*(-52612993620+5600919885/2*n-48588705*n^2+344355*n^3-1485/2*n^4)*p9*p1+
2592*(-88530561840+4597488300*n-75312990*n^2+475260*n^3-810*n^4)*p8*p2+288*(-\
20360340+397305*n-2205*n^2)*p4*p3^2*p2+288*(568080-8865*n+45*n^2)*p4*p3^2*p1^2+
41472/11*(-435074640+9714705*n-45045*n^2)*p11*p1+108*(-84160+1120*n)*p4*p2^3*p1
^2+10368/5*(-788430500+17325165*n-70785*n^2)*p10*p2+128*(2134674-48924*n+324*n^
2)*p3^3*p2*p1+144*(-156960+3474*n-18*n^2)*p3^2*p2^2*p1^2+48*(7992-144*n)*p3*p2^
3*p1^3+1728*(73572120-1453140*n+8100*n^2)*p8*p3*p1+1296*(-5084640+92520*n-360*n
^2)*p8*p2*p1^2+10368/7*(64800960-922740*n+3780*n^2)*p7*p4*p1+6912/7*(134048880-\
2593458*n+12474*n^2)*p7*p3*p2+6912/7*(-4508784+74466*n-378*n^2)*p7*p3*p1^2+5184
/7*(-10399536+179928*n-504*n^2)*p7*p2^2*p1+3456/7*(240408-3024*n)*p7*p2*p1^3+
6912/5*(73240860-2404185/2*n+12285/2*n^2)*p6*p5*p1+864*(121865380-1951845*n+
8505*n^2)*p6*p4*p2+864*(-3534160+41965*n-105*n^2)*p6*p4*p1^2+384*(140616-1008*n
)*p6*p3*p1^3+432*(758688-13482*n+42*n^2)*p6*p2^2*p1^2+3456/5*(126870300-2139975
*n+11475*n^2)*p5*p4*p3+1728/5*(153900-1800*n)*p5*p4*p1^3+2304/5*(-11870280+
481005/2*n-3105/2*n^2)*p5*p3^2*p1+10368*(56027291331520-83566318668515/6*n+
2544964680647/2*n^2-1396236837875/24*n^3+3106580385/2*n^4-320970539/12*n^5+
3669919/12*n^6-52219/24*n^7+89/12*n^8)*p2*p1^2+13824*(-220564125197040+
142316897641593/2*n-197765034319373/24*n^2+1376375561450/3*n^3-1348579251125/96
*n^4+12553177699/48*n^5-152629621/48*n^6+602669/24*n^7-3727/32*n^8+11/48*n^9)*
p3*p1+2592*(-1594094723808+187943485422*n-25921707160/3*n^2+1281474967/6*n^3-\
19084451/6*n^4+167165/6*n^5-677/6*n^6)*p2^2*p1^2+864*(143451783432-13929368547*
n+1090373115/2*n^2-12049233*n^3+336573/2*n^4-1446*n^5+6*n^6)*p2*p1^4+216*(-\
532285008+29919540*n-703140*n^2+8640*n^3-48*n^4)*p2^2*p1^4+144/5*(14267880-\
462240*n+4320*n^2)*p2*p1^6+41472/5*(-41154826329540+7338720669575*n-\
3776181534305/8*n^2+234028299185/16*n^3-4007135675/16*n^4+40707485/16*n^5-\
232155/16*n^6+285/8*n^7)*p5*p1-9192960*p6*p4*p3*p1-11197440*p7*p4*p2*p1+1451520
*p6*p3*p2^2*p1+181440*p6*p4*p2*p1^2-16982784*p6*p5*p2*p1+768*(-1300860+11880*n)
*p9*p1^3+746496*p7*p3*p2*p1^2-34560*p4*p3*p2^3*p1+1296*(-861536400+13378500*n-\
62100*n^2)*p8*p4-25920*p4*p3^2*p2*p1^2+518400*p4^2*p3*p2*p1+648*(117866880-\
2115000*n+6840*n^2)*p8*p2^2+41472/35*(-938359800+14301000*n-68040*n^2)*p7*p5-\
62208*p5*p3*p2^2*p1^2+2799360*p8*p1^4+1728/5*(-19032480+339030*n-1350*n^2)*p5*
p3*p2^2+864/5*(1382160-19200*n)*p5*p2^3*p1+864/5*(-44280+720*n)*p5*p2^2*p1^3+
432*(-8538000+130200*n-600*n^2)*p4^2*p3*p1+324*(504800-5600*n)*p4^2*p2*p1^2+48*
(2869200-52902*n+198*n^2)*p3^2*p2^3-663552*p3^3*p1^3+10368/25*(-4809600+86850*n
-450*n^2)*p5^2*p1^2+162*(-15201600+236000*n-800*n^2)*p4^2*p2^2+27*(1715200-\
21120*n)*p4*p2^4+384*(144038160-2843190*n+17262*n^2)*p6*p3^2+144*(-15697584+
236334*n-462*n^2)*p6*p2^3+10368/25*(129751200-2053350*n+8550*n^2)*p5^2*p2+10368
/5*(30293120-514085*n+2145*n^2)*p10*p1^2+1536*(-884020500+18433305*n-96525*n^2)
*p9*p3-93312*p2^6+31104*p2^5*p1^2+86400*p4^2*p2^3+165888*p3^4*p2-12096*p6*p2^3*
p1^2-8211456*p5^2*p3*p1-3110400*p5*p4^2*p1+331776*p5*p3*p2^3+648000*p4*p3^2*p2^
2-4478976*p7*p5*p1^2+129392640*p7*p4*p3-8460288*p7*p3^2*p1-12690432*p7*p3*p2^2+
248832*p7*p2^3*p1+373248*p5^2*p2*p1^2+156183552*p6*p5*p3-7439040*p6*p4*p2^2+
466560*p8*p2^2*p1^2+114960384*p7*p6*p1-2332800*p8*p4*p1^2+162362880*p8*p5*p1+
163296000*p8*p4*p2-13685760*p9*p2^2*p1-4561920*p9*p3*p1^2+301086720*p9*p3*p2+
114048000*p9*p4*p1-8895744*p10*p2*p1^2+339655680*p11*p2*p1+237219840*p10*p3*p1+
1728*p3^2*p2^3*p1^2-41472*p3^3*p2^2*p1+207360*p4*p3^3*p1-373248*p5*p3*p1^4+
31104*p3^2*p2*p1^4-217728*p6*p2*p1^4-13353984*p6*p3^2*p2+96768*p6*p3^2*p1^2-\
3170119680*p11*p3+1728*(-1620597900+64814165*n-983850*n^2+6880*n^3-15*n^4)*p4*
p3*p2*p1-5184*p3^2*p2^4-16174080*p5*p4*p3*p2+311040*p5*p4*p3*p1^2+622080*p5*p4*
p2^2*p1+1430784*p5*p3^2*p2*p1+288*(-28620+360*n)*p4*p3*p2*p1^3+432*(1587960-\
29160*n+120*n^2)*p4*p3*p2^2*p1+3456/5*(862560-17370*n+90*n^2)*p5*p3*p2*p1^2+
5184/5*(-9964200+157200*n-600*n^2)*p5*p4*p2*p1+1152*(-11747526+236628*n-1260*n^
2)*p6*p3*p2*p1-27993600*p8*p3*p2*p1-1624250880*p8*p6+165722112*p7*p5*p2+
48223641600*p14-2014497127119264*n^6+30972821112099936*n^5+1152*(6198320862-\
769252023/2*n+40360725/4*n^2-149094*n^3+4995/4*n^4-9/2*n^5)*p3*p2*p1^3-\
261104160*n^10+26548167648*n^9-716636160*p7^2+20736/5*(438813975600-85475906945
/3*n+560846715*n^2-11980540/3*n^3+8580*n^4)*p10+6912*(172567960765200-\
39312342231582*n+57593035765139/18*n^2-5829929879207/48*n^3+684617645705/288*n^
4-1215486769/48*n^5+5257021/36*n^6-777/2*n^7+7/32*n^8)*p6+20736/25*(-\
118521736200+5374823925*n-143310375/2*n^2+462075*n^3-2025/2*n^4)*p5^2+54/5*(
293059040-9503520*n+84960*n^2)*p2^5+5184*(14512288190400-1819935850030*n+
156494671815/2*n^2-5901237335/4*n^3+52747875/4*n^4-211425/4*n^5+255/4*n^6)*p8+
1296*(-4928611173200+461537495100*n-14354300350*n^2+597046625/3*n^3-4654025/3*n
^4+18775/3*n^5-25/3*n^6)*p4^2+108*(99096000-1398000*n+6000*n^2)*p4^3+576*(-\
958240080+14531244*n-73500*n^2)*p6^2+288/5*(-9517451760+654325650*n-16705890*n^
2+207360*n^3-1080*n^4)*p1^6+10368*(621773690428800-793459316720045/3*n+
1444547430118855/36*n^2-68975596586315/24*n^3+3909497525585/36*n^4-83058874795/
36*n^5+2088547165/72*n^6-3988145/18*n^7+69155/72*n^8-125/72*n^9)*p4+20736*(
422640590400000-1160579854274600/3*n+4283749427196155/36*n^2-266786468665985/16
*n^3+116596575537161/96*n^4-397361952803/8*n^5+21776654107/18*n^6-222701003/12*
n^7+5934605/32*n^8-55295/48*n^9+125/36*n^10)*p2-1777048468416*n^8+
76424989230144*n^7-4800*n^12+1604736*n^11+2304*(-70207609513680+12261860771556*
n-1517867682729/2*n^2+355787795469/16*n^3-11568357261/32*n^4+59161275/16*n^5-\
23463*n^6+159/2*n^7-3/32*n^8)*p3^2+108*(-126642379584+26645349368/3*n-230851984
*n^2+8539360/3*n^3-14648*n^4)*p2^4+64/3*(-24513840+548208*n-3888*n^2)*p3^4+1728
*(-8860855627200+1744378429184*n-518114895005/4*n^2+39943422275/8*n^3-942434543
/8*n^4+15025861/8*n^5-164963/8*n^6+145*n^7-1/2*n^8)*p1^4+5184*(-288237006124480
+278198668561547/3*n-42648518750483/4*n^2+42223930900823/72*n^3-1266044130719/
72*n^4+22668314687/72*n^5-256164005/72*n^6+879289/36*n^7-2875/36*n^8)*p2^2+864*
(14830485534456-2080248359507*n+1936798961051/18*n^2-16716976315/6*n^3+
369319522/9*n^4-2073419/6*n^5+23993/18*n^6)*p2^3+20736*(-200361137760000+
129199341707658*n-1031752938182395/36*n^2+429386675289809/144*n^3-5351095106607
/32*n^4+799543219061/144*n^5-2133749845/18*n^6+62314211/36*n^7-5005517/288*n^8+
2669/24*n^9-25/72*n^10)*p1^2-1296000*p4^3*p2-2851200*p4^2*p3^2+39312000*p6*p4^2
+36288*p6*p2^4+50388480*p5^2*p4-3732480*p5^2*p2^2-3732480*p5*p3^3+85349376*p6^2
*p2-677376*p6^2*p1^2+117573120*p8*p3^2-3110400*p8*p2^3-1833891840*p9*p5-\
1719843840*p10*p4+151227648*p10*p2^2-3553320960*p13*p1-4075868160*p12*p2+
75479040*p12*p1^2+3456*(4867480800-127556520*n+578760*n^2)*p12
[4, 4, 3, 3, 2, 2, 2, 2]
-24125560448491192320*n+607150080*p7*p4*p2*p1+3456*(-1112400190+128306000/3*n-\
543360*n^2+6880/3*n^3)*p4*p2^2*p1^2+1152*(98737530-3765800*n+49360*n^2-220*n^3)
*p4*p2*p1^4+3072*(-1090634040+45008740*n-1343775/2*n^2+4295*n^3-15/2*n^4)*p4*p3
*p1^3+9216*(7876696506-1363729787/4*n+38509485/8*n^2-97909/4*n^3+147/8*n^4)*p6*
p2*p1^2+55296/5*(-75430632900+3234268875*n-85233775/2*n^2+246425*n^3-825/2*n^4)
*p5*p4*p1+36864/5*(-80022666570+12878895925/4*n-345453315/8*n^2+969395/4*n^3-\
2925/8*n^4)*p5*p3*p2+36864/5*(9278796450-1593991335/4*n+46822545/8*n^2-145065/4
*n^3+495/8*n^4)*p5*p3*p1^2+27648/5*(9071404590-357480505*n+4549995*n^2-19750*n^
3)*p5*p2^2*p1+18432/5*(-942198240+38090030*n-519120*n^2+2440*n^3)*p5*p2*p1^3+
110592/7*(-59385495960+2767248729*n-80334807/2*n^2+209895*n^3-441/2*n^4)*p7*p2*
p1+12288*(-71640242625+3252795882*n-188878725/4*n^2+577059/2*n^3-2121/4*n^4)*p6
*p3*p1+36864/5*(-587251455+18561165/2*n-68565/2*n^2)*p6*p5*p1+55296/7*(-\
573292440+9654540*n-36540*n^2)*p7*p4*p1+36864/7*(-592814880+10590804*n-37044*n^
2)*p7*p3*p2+36864/7*(69785856-1398726*n+5670*n^2)*p7*p3*p1^2+27648/7*(60753924-\
1018920*n+2016*n^2)*p7*p2^2*p1+18432/7*(-5830020+108612*n-252*n^2)*p7*p2*p1^3+
4608*(-571053630+9195480*n-31080*n^2)*p6*p4*p2+4608*(64104810-1094415*n+4095*n^
2)*p6*p4*p1^2+2048*(-7386435+148554*n-630*n^2)*p6*p3*p1^3+2304*(-6965322+115248
*n-168*n^2)*p6*p2^2*p1^2+18432/5*(-666340500+11201850*n-46050*n^2)*p5*p4*p3+
9216/5*(-5922150+97500*n-300*n^2)*p5*p4*p1^3+12288/5*(91887165-3475665/2*n+
14985/2*n^2)*p5*p3^2*p1+9216/5*(73279860-1229745*n+3465*n^2)*p5*p3*p2^2+4608/5*
(-6798240+97200*n)*p5*p2^3*p1+4608/25*(-34500+600*n)*p5*p2*p1^5+2304*(84708300-\
1535600*n+6600*n^2)*p4^2*p3*p1+1728*(-7723600+133600*n-400*n^2)*p4^2*p2*p1^2+
1536*(90421590-1647240*n+6600*n^2)*p4*p3^2*p2+288*(-53280+880*n)*p4*p2^2*p1^4+
192*(808920-11664*n)*p3*p2^4*p1+384/5*(6180-120*n)*p3*p2^2*p1^5+12288*(-\
471023685+9393120*n-27720*n^2)*p9*p2*p1+9216*(-581900400+11612700*n-45540*n^2)*
p8*p3*p1+6912*(55801800-1072800*n+2880*n^2)*p8*p2*p1^2+9216*(524053490598-\
453245541683/12*n+24349607629/24*n^2-40322305/3*n^3+2144555/24*n^4-871/4*n^5)*
p3*p2^2*p1+6144*(-60519352032+17239706395/4*n-956277385/8*n^2+3370401/2*n^3-\
96839/8*n^4+131/4*n^5)*p3*p2*p1^3+36864*(-55957623419205+98557927855325/12*n-\
5290484438771/12*n^2+557602794497/48*n^3-8252546885/48*n^4+72586097/48*n^5-\
349367/48*n^6+107/8*n^7)*p3*p2*p1+110592/5*(-2975640579060+3040635526765/12*n-\
182382939905/24*n^2+315290240/3*n^3-17296435/24*n^4+7815/4*n^5)*p5*p2*p1+18432*
(-3454260078060+3469834119095/12*n-204482107105/24*n^2+1426214425/12*n^3-\
21622205/24*n^4+3305*n^5-15/4*n^6)*p4*p3*p1+13824*(446165774100-34087403620*n+
5764873915/6*n^2-78895195/6*n^3+541415/6*n^4-1415/6*n^5)*p4*p2*p1^2+1536*(
133695570-5306752*n+71628*n^2-320*n^3)*p3*p2^2*p1^3+1536/5*(-10251210+411105*n-\
5895*n^2+30*n^3)*p3*p2*p1^5+3072*(-1319082000+219610647/4*n-6552801/8*n^2+20073
/4*n^3-63/8*n^4)*p3^2*p2*p1^2+1536*(-1242615510+46337793*n-574191*n^2+2286*n^3)
*p3*p2^3*p1+13824*(-47669072580+2470060995*n-81073485/2*n^2+237765*n^3-675/2*n^
4)*p8*p1^2+73728/7*(511417345320-49418241915/2*n+1415456217/4*n^2-4218837/2*n^3
+15687/4*n^4)*p7*p3-92160*p4*p3*p2^2*p1^3+829440*p4*p3*p2^3*p1+3248640*p4*p3^2*
p2*p1^2-31795200*p4^2*p3*p2*p1+2156544*p5*p3*p2^2*p1^2-55296*p5*p3*p2*p1^4+
1105920*p5*p4*p2*p1^3-40642560*p5*p3^2*p2*p1+36864/7*(6286490280-290845569*n+
8845389/2*n^2-25557*n^3+63/2*n^4)*p7*p1^3+380160000*p5*p4*p3*p2-40642560*p5*p4*
p3*p1^2-21565440*p5*p4*p2^2*p1+2580480*p6*p3*p2*p1^3+672215040*p6*p4*p3*p1-\
38223360*p6*p4*p2*p1^2-33804288*p6*p3*p2^2*p1+550803456*p6*p5*p2*p1-61710336*p7
*p3*p2*p1^2+256*(-92052+1512*n)*p3*p2^3*p1^3+256*(-111186+2421*n-9*n^2)*p3^2*p2
*p1^4+768*(1271298-24432*n+72*n^2)*p3^2*p2^2*p1^2+2048/3*(-13020183+258444*n-\
1080*n^2)*p3^3*p2*p1+576*(731040-10800*n)*p4*p2^3*p1^2+9216*(561334743900-\
102744135025/4*n+2618478975/8*n^2-7465955/4*n^3+26985/8*n^4)*p6*p4+768/5*(-\
24450+300*n)*p4*p3*p1^5+1536*(-11065170+223755*n-1035*n^2)*p4*p3^2*p1^2+4608/5*
(687900-10920*n)*p5*p2^2*p1^3+3072/5*(621180-11925*n+45*n^2)*p5*p3*p1^4+768*(
520842-9681*n+21*n^2)*p6*p2*p1^4+3456*(-81346471500+3138166500*n-40448050*n^2+
224100*n^3-350*n^4)*p4^2*p2+9216/25*(67667550-2405625*n+30375*n^2-150*n^3)*p5*
p1^5+4608*(-68418892710+11208708217/4*n-289271703/8*n^2+670103/4*n^3-777/8*n^4)
*p6*p2^2+1536*(-724868634+119072037/4*n-3365019/8*n^2+9555/4*n^3-21/8*n^4)*p6*
p1^4+24576*(328291601715-19011118500*n+1341725715/4*n^2-3965445/2*n^3+12375/4*n
^4)*p9*p1+13824*(414253202580-20833478865*n+622396935/2*n^2-1654695*n^3+4185/2*
n^4)*p8*p2+73728/5*(21756976189200-4146648090525/2*n+520967732375/8*n^2-\
14207778565/16*n^3+103955645/16*n^4-370835/16*n^5+405/16*n^6)*p5*p3+384/5*(-\
4091850+100800*n-600*n^2)*p4*p1^6+4096/3*(11877689151-498549870*n+30268863/4*n^
2-102681/2*n^3+459/4*n^4)*p3^3*p1+1536*(10984089624-1688631005/4*n+45826131/8*n
^2-125587/4*n^3+333/8*n^4)*p3^2*p2^2+512*(123436836-21012921/4*n+677223/8*n^2-\
2367/4*n^3+9/8*n^4)*p3^2*p1^4+512/35*(194670-3780*n)*p3*p1^7+288*(126015864-\
4237056*n+38880*n^2)*p2^4*p1^2+192*(-11652732+407904*n-3960*n^2)*p2^3*p1^4+192/
5*(673380-23760*n+240*n^2)*p2^2*p1^6+221184/7*(12822335139600-2741079770359/2*n
+203925810599/4*n^2-3361408351/4*n^3+12856949/2*n^4-83811/4*n^5+63/4*n^6)*p7*p1
+18432*(17924084286570-1742657442246*n+453756952257/8*n^2-12835360013/16*n^3+
88720485/16*n^4-257635/16*n^5+105/16*n^6)*p6*p2+18432*(-2245281056550+
416136346409/2*n-55323306199/8*n^2+1703250493/16*n^3-12825757/16*n^4+40411/16*n
^5-21/16*n^6)*p6*p1^2+3072*(-90683379990+14488141445/4*n-405841035/8*n^2+
1293055/4*n^3-5565/8*n^4)*p4*p3^2+1152*(9552897990-344856840*n+4090800*n^2-\
16140*n^3)*p4*p2^3+3456*(9314129100-1139284900/3*n+5197550*n^2-92300/3*n^3+50*n
^4)*p4^2*p1^2+6144*(-4073656436910+312642956870*n-68116852937/8*n^2+1842705777/
16*n^3-13546049/16*n^4+46831/16*n^5-45/16*n^6)*p3^2*p2+6144*(493220579598-\
75742747521/2*n+8753496735/8*n^2-256720353/16*n^3+2061705/16*n^4-7911/16*n^5+9/
16*n^6)*p3^2*p1^2+55296*(-259259841227160+408927997246211/6*n-59778560781112/9*
n^2+23265196899769/72*n^3-26872873625/3*n^4+1379601569/9*n^5-6702509/4*n^6+
798619/72*n^7-1247/36*n^8)*p2*p1^2+3072/5*(6130750950-1640785125/4*n+88950075/8
*n^2-160470*n^3+9885/8*n^4-15/4*n^5)*p3*p1^5+2304*(-64628185536+4369581565*n-\
112238466*n^2+1364582*n^3-6849*n^4)*p2^3*p1^2+1152*(6920412888-1367851376/3*n+
35465603/3*n^2-446302/3*n^3+2347/3*n^4)*p2^2*p1^4+768/5*(-601329240+36191205*n-\
889425*n^2+11040*n^3-60*n^4)*p2*p1^6+221184/5*(193972322102055-433455952017355/
12*n+2429506034280*n^2-3721391045965/48*n^3+20844464715/16*n^4-579533485/48*n^5
+960285/16*n^6-995/8*n^7)*p5*p1+27648*(279046870129860-591680050357595/12*n+
24419962637775/8*n^2-346722036485/4*n^3+10234490865/8*n^4-130820345/12*n^5+
50965*n^6-1145/12*n^7)*p4*p2+36864/5*(353905334910-115258050865/4*n+6932500485/
8*n^2-25177985/2*n^3+740295/8*n^4-1075/4*n^5)*p5*p1^3+6912*(-3697837991040+
853872522895/3*n-15298258335/2*n^2+195582415/2*n^3-1257525/2*n^4+9265/6*n^5)*p4
*p2^2+2304*(-49479471480+10741838675/3*n-594610195/6*n^2+8297645/6*n^3-59765/6*
n^4+55/2*n^5)*p4*p1^4+27648*(-42425701843980+78967015657015/12*n-27277460086975
/72*n^2+64591885015/6*n^3-12218926765/72*n^4+9327755/6*n^5-139315/18*n^6+185/12
*n^7)*p4*p1^2+12288*(7850286601425-4182353219047/4*n+213685853437/4*n^2-\
22556819051/16*n^3+348416911/16*n^4-3255215/16*n^5+16789/16*n^6-17/8*n^7)*p3*p1
^3+13824*(9123723704040-13932353061631/12*n+4056057103891/72*n^2-5614467449/4*n
^3+1448222437/72*n^4-984631/6*n^5+5459/9*n^6)*p2^2*p1^2+4608*(-1200202948320+
1690901700467/12*n-156914551145/24*n^2+484591682/3*n^3-56617967/24*n^4+238757/
12*n^5-229/3*n^6)*p2*p1^4+73728*(952062809550300-1895360773101763/6*n+
1811707391366329/48*n^2-8657004960817/4*n^3+12903207353455/192*n^4-39086657503/
32*n^5+1322372999/96*n^6-4663249/48*n^7+24757/64*n^8-19/32*n^9)*p3*p1+55296/5*(
-406696290+9195615*n-32175*n^2)*p10*p1^2+8192*(4426191000-87772410*n+335610*n^2
)*p9*p3+4096*(43621875-882090*n+2970*n^2)*p9*p1^3+6912*(4573963800-75600000*n+
284400*n^2)*p8*p4+3456*(-482682600+8262900*n-19620*n^2)*p8*p2^2+221184/35*(
4789392300-71758890*n+266490*n^2)*p7*p5+9216/35*(197820-2520*n)*p7*p1^5+2048*(-\
703732680+12681144*n-53424*n^2)*p6*p3^2+768*(57623706-849933*n+945*n^2)*p6*p2^3
+221184/11*(3300146850-81126045*n+285285*n^2)*p11*p1+13824*p3^2*p1^6+1152*(-\
3712680+64260*n-180*n^2)*p8*p1^4+41472*p2^4*p1^4+864*(68319600-1112400*n+3200*n
^2)*p4^2*p2^2+144*(-6094080+82080*n)*p4*p2^4-746496*p2^5*p1^2+2048/9*(1406565-\
31590*n+162*n^2)*p3^3*p1^3+256*(-9551538+163809*n-405*n^2)*p3^2*p2^3+55296/25*(
-569111550+8789025*n-28125*n^2)*p5^2*p2+55296/25*(63994350-1048200*n+3600*n^2)*
p5^2*p1^2-96768*p6*p1^6+55296/5*(3610957350-74534460*n+231660*n^2)*p10*p2+
735381504*p10*p2*p1^2-7724851200*p9*p4*p1-6265036800*p9*p3*p2+766402560*p9*p3*
p1^2+377118720*p9*p2^2*p1-24330240*p9*p2*p1^3-6633861120*p8*p5*p1-4348339200*p8
*p4*p2+416793600*p8*p4*p1^2+1119744*p2^6+288*(356400-4400*n)*p4^2*p1^4+80640*p6
*p4*p1^4+253661184*p6*p3^2*p2-34836480*p6*p3^2*p1^2+290304*p6*p2^3*p1^2-16128*
p6*p2^2*p1^4-24883200*p8*p3*p1^3-21150720*p8*p2^2*p1^2+414720*p8*p2*p1^4-\
6642155520*p7*p6*p1-3774283776*p7*p5*p2+406093824*p7*p5*p1^2-4445798400*p7*p4*
p3-9953280*p7*p4*p1^3+481738752*p7*p3^2*p1+225939456*p7*p3*p2^2+331776*p7*p3*p1
^4-5971968*p7*p2^3*p1+663552*p7*p2^2*p1^3-3909427200*p6*p5*p3-15095808*p6*p5*p1
^3-12378562560*p11*p2*p1-12272173056*p10*p3*p1-41472*p3^2*p2^3*p1^2+2304*p3^2*
p2^2*p1^4+847872*p3^3*p2^2*p1-73728*p3^3*p2*p1^3+460800*p4^2*p3*p1^3+691200*p4^
2*p2^2*p1^2-16404480*p4*p3^3*p1-11761920*p4*p3^2*p2^2-11520*p4*p3^2*p1^4+
1271808*p5*p3^2*p1^3-4976640*p5*p3*p2^3+215654400*p5*p4^2*p1+296607744*p5^2*p3*
p1-16920576*p5^2*p2*p1^2+162328320*p6*p4*p2^2-2801664*p3^4*p2+914042880*p8*p3*
p2*p1+9216*(10425140700-418050435*n+11640275/2*n^2-33735*n^3+105/2*n^4)*p4*p3*
p2*p1+2304*(-9352830+165700*n-480*n^2)*p4*p3*p2^2*p1+1536*(929670-18120*n+60*n^
2)*p4*p3*p2*p1^3+27648/5*(69817950-1156400*n+3600*n^2)*p5*p4*p2*p1+18432/5*(-\
8975940+167340*n-540*n^2)*p5*p3*p2*p1^2+6144*(76612809-1402044*n+4872*n^2)*p6*
p3*p2*p1+5513845716430123008*n^4-23323242689849877504*n^3+42546972806412668928*
n^2-1350261964800*p14+33871786030080*n^8-1545571472048640*n^7+4148839680*n^10-\
463663043328*n^9+62976*n^12-23184384*n^11+36864*(-748078600569300+
343801761668295/2*n-223745963723681/16*n^2+8315057047521/16*n^3-612003042161/64
*n^4+1448639115/16*n^5-14473627/32*n^6+4011/4*n^7-21/64*n^8)*p6+110592/25*(
580334346900-104778321725/4*n+2569048275/8*n^2-7150675/4*n^3+24525/8*n^4)*p5^2+
1536/5*(146433446280-62597903325/4*n+5409335235/8*n^2-63915045/4*n^3+1830465/8*
n^4-3855/2*n^5+15/2*n^6)*p1^6+55296*(-2577282250069800+1107286291020245*n-\
3042713507956495/18*n^2+96530945687955/8*n^3-21387657118405/48*n^4+429306680995
/48*n^5-306416090/3*n^6+16815815/24*n^7-390265/144*n^8+205/48*n^9)*p4+110592*(
818274354282000-2161673643450985/4*n+5938611115075735/48*n^2-1928648417627513/
144*n^3+150916711902533/192*n^4-1959332779313/72*n^5+170791345571/288*n^6-\
614781545/72*n^7+47314339/576*n^8-70991/144*n^9+205/144*n^10)*p1^2+6912*(
22999148747400-6505948728950/3*n+66401818875*n^2-863693700*n^3+6144100*n^4-\
65350/3*n^5+25*n^6)*p4^2+192/35*(28009800-997920*n+10080*n^2)*p1^8+4608*(-\
65900057234400+36489821078345/4*n-3631180321579/8*n^2+10994641128*n^3-\
1197789913/8*n^4+4637407/4*n^5-8179/2*n^6)*p2^3+27648*(1215140355523080-\
394611819966345*n+1634031549209507/36*n^2-19630210884087/8*n^3+843133247675/12*
n^4-27959427881/24*n^5+96634523/8*n^6-910037/12*n^7+16277/72*n^8)*p2^2+
45200332800*p8*p6+87367680*p5*p3^3-1869557760*p6^2*p2+222179328*p6^2*p1^2-\
1613606400*p6*p4^2-435456*p6*p2^4-1434101760*p5^2*p4+70668288*p5^2*p2^2-3953664
*p10*p1^4+48027893760*p9*p5+165888*p5^2*p1^4+51840000*p4^3*p2-3456000*p4^3*p1^2
+112550400*p4^2*p3^2-2073600*p4^2*p2^3+62208*p3^2*p2^4+442368*p3^4*p1^2+
41987050068611328*n^6-652490275346989824*n^5+110592/5*(-2100079881900+
545605585525/4*n-20486386635/8*n^2+60595535/4*n^3-199485/8*n^4)*p10+22215720960
*p7^2+576*(-625086000+10224000*n-42000*n^2)*p4^3+288/5*(-1065208680+33726240*n-\
291600*n^2)*p2^5+1024/9*(113241240-2200608*n+10368*n^2)*p3^4+27648*(-\
66070020416400+8329280862030*n-706077935835/2*n^2+25053285165/4*n^3-193975665/4
*n^4+644235/4*n^5-585/4*n^6)*p8+3072*(4884463080-71498448*n+268128*n^2)*p6^2+
12288*(310809337200180-109349601372727/2*n+53688196080301/16*n^2-1507908670465/
16*n^3+89116237285/64*n^4-199705339/16*n^5+2131247/32*n^6-707/4*n^7+9/64*n^8)*
p3^2+576*(540372003336-35958058824*n+880662486*n^2-10142556*n^3+48366*n^4)*p2^4
+9216*(48333232810440-32315450818418/3*n+11111382168557/12*n^2-995355570025/24*
n^3+26538734069/24*n^4-453718399/24*n^5+5071793/24*n^6-1445*n^7+14/3*n^8)*p1^4-\
3043215360*p8*p3^2+52254720*p8*p2^3+180034928640*p13*p1+92386344960*p12*p2-\
10265149440*p12*p1^2+85744189440*p11*p3+301916160*p11*p1^3+58118860800*p10*p4-\
2929665024*p10*p2^2+18432*(-24443218800+637116480*n-2227680*n^2)*p12+110592*(-\
1688189708898000+6234755409128089/4*n-7736703781270925/16*n^2+9800683551305519/
144*n^3-2840130790417439/576*n^4+18894531205543/96*n^5-436166533535/96*n^6+
1025921069/16*n^7-112384241/192*n^8+955643/288*n^9-82/9*n^10)*p2
[4, 4, 3, 2, 2, 2, 2, 2, 2]
525542765857351925760*n+368640*(5110854661134-887709762905/2*n+158611517347/12*
n^2-2121227965/12*n^3+3725345/3*n^4-48545/12*n^5+15/4*n^6)*p4*p3*p1+276480*(-\
781532750950+63673917792*n-5573490865/3*n^2+75053825/3*n^3-489380/3*n^4+1180/3*
n^5)*p4*p2*p1^2-122302787933054046208*n^4+513425133105674993664*n^3-\
930322526006838951936*n^2+442368*(4407217929690-2340453585977/6*n+47642015977/4
*n^2-482916908/3*n^3+4181135/4*n^4-5225/2*n^5)*p5*p2*p1+30720*(-3021510+58170*n
-150*n^2)*p4*p3*p2*p1^3+46080*(15546320-270870*n+630*n^2)*p4*p3*p2^2*p1+73728*(
20050980-729333/2*n+1845/2*n^2)*p5*p3*p2*p1^2+110592*(-130589120+2206950*n-6150
*n^2)*p5*p4*p2*p1+122880*(-129535224+2282931*n-6195*n^2)*p6*p3*p2*p1+184320*(-\
17365544294+4147203575/6*n-18299855/2*n^2+142175/3*n^3-60*n^4)*p4*p3*p2*p1-\
939042187514370048*n^6+14562822230856976384*n^5+122880*(128371731864-\
29547080422/3*n+561632945/2*n^2-11464502/3*n^3+49975/2*n^4-56*n^5)*p3*p2*p1^3+
184320*(-804029287762+354039022457/6*n-6256314117/4*n^2+59426813/3*n^3-485255/4
*n^4+501/2*n^5)*p3*p2^2*p1+737280*(74799428036814-170878465353544/15*n+
45389427814523/72*n^2-804695216237/48*n^3+34816233193/144*n^4-484724101/240*n^5
+1287673/144*n^6-111/8*n^7)*p3*p2*p1+147456*(-696076548672+189030571946/3*n-\
4133924439/2*n^2+92966689/3*n^3-431847/2*n^4+570*n^5)*p5*p1^3+138240*(
4904895487800-379067291384*n+10077693715*n^2-125055765*n^3+766035*n^4-1745*n^5)
*p4*p2^2+46080*(122817208740-10234735120*n+949479895/3*n^2-13829335/3*n^3+96005
/3*n^4-245/3*n^5)*p4*p1^4+122880*(5362553811174-1227221019958/3*n+86462321587/8
*n^2-6627486695/48*n^3+14839225/16*n^4-44179/16*n^5+33/16*n^6)*p3^2*p2+122880*(
-857641926000+139000765061/2*n-16264685381/8*n^2+451838261/16*n^3-3265597/16*n^
4+10547/16*n^5-9/16*n^6)*p3^2*p1^2+4423680/7*(-18105936447060+2017894446701*n-\
77606732476*n^2+5127014123/4*n^3-36824921/4*n^4+108521/4*n^5-63/4*n^6)*p7*p1+
368640*(-23224157475750+2276431855558*n-589929559191/8*n^2+16201182921/16*n^3-\
105759493/16*n^4+280343/16*n^5-77/16*n^6)*p6*p2+12288*(-19949006190+3123127637/
2*n-186632471/4*n^2+675963*n^3-18861/4*n^4+23/2*n^5)*p3*p1^5+46080*(
118431916602-8308185264*n+214509783*n^2-2555961*n^3+12330*n^4)*p2^3*p1^2+23040*
(-18603952924+4036736626/3*n-36538962*n^2+1377350/3*n^3-2318*n^4)*p2^2*p1^4+
3072*(2798208150-612645256/3*n+5702553*n^2-223253/3*n^3+390*n^4)*p2*p1^6+884736
*(-249020068468710+143963060484718/3*n-240726727740739/72*n^2+1755056882911/16*
n^3-266169098801/144*n^4+790486241/48*n^5-11095937/144*n^6+1175/8*n^7)*p5*p1+
552960*(-343535488206372+184399865234648/3*n-45938648079541/12*n^2+
1295896558127/12*n^3-18631346665/12*n^4+76211651/6*n^5-168625/3*n^6+1165/12*n^7
)*p4*p2+552960*(59804254398672-9853656705521*n+7240208931523/12*n^2-72037122067
/4*n^3+3461556295/12*n^4-7687430/3*n^5+36175/3*n^6-265/12*n^7)*p4*p1^2+245760*(
-12535388919990+1817940363920*n-805669412659/8*n^2+135055002661/48*n^3-\
2108590423/48*n^4+18891341/48*n^5-89087/48*n^6+25/8*n^7)*p3*p1^3+368640*(
3668841423324-731654182021/2*n+103393823001/8*n^2-3244015313/16*n^3+22955625/16
*n^4-64631/16*n^5+21/16*n^6)*p6*p1^2+294912*(-28132593722310+8087828743058/3*n-\
669400032907/8*n^2+52269290359/48*n^3-118640449/16*n^4+380179/16*n^5-345/16*n^6
)*p5*p3+92160*(2243807295132-882211137248/3*n+542983669447/36*n^2-1199259587/3*
n^3+216070099/36*n^4-301261/6*n^5+1678/9*n^6)*p2*p1^4+1474560*(-\
1135495987664220+11588104959912133/30*n-3417628226924081/72*n^2+
1008240523670059/360*n^3-25598887512679/288*n^4+1164714823373/720*n^5-\
2547948179/144*n^6+5330537/45*n^7-125231/288*n^8+9/16*n^9)*p3*p1+18432*(-\
2078610+33660*n)*p5*p2^2*p1^3+18432/5*(299460-5400*n)*p5*p2*p1^5+1105920*(
326320472624076-179277887444071/2*n+413317990045606/45*n^2-33843190248347/72*n^
3+122040230248/9*n^4-8487681907/36*n^5+458843531/180*n^6-1183163/72*n^7+1781/36
*n^8)*p2*p1^2+276480*(-13674686313704+1849495946923*n-377689987477/4*n^2+
7240353380/3*n^3-412026817/12*n^4+1635863/6*n^5-5809/6*n^6)*p2^2*p1^2+
2582323200*p5*p4*p3*p1^2+846028800*p5*p4*p2^2*p1-110592000*p5*p4*p2*p1^3-\
10665492480*p5*p4*p3*p2+983162880*p6*p3*p2^2*p1-147947520*p6*p3*p2*p1^3-\
25262899200*p6*p4*p3*p1+2099865600*p6*p4*p2*p1^2-20641775616*p6*p5*p2*p1+
2667479040*p7*p3*p2*p1^2-24219648000*p7*p4*p2*p1-30045634560*p8*p3*p2*p1+61440*
(2650595604-216600861/2*n+2983849/2*n^2-7727*n^3+9*n^4)*p3^2*p2*p1^2+23040*(-\
380383400+48114490/3*n-215860*n^2+2690/3*n^3)*p4*p2*p1^4+184320*(-16251952668+
1473188773/2*n-20313825/2*n^2+45955*n^3-21*n^4)*p6*p2*p1^2+221184*(126127069950
-33680537215/6*n+145162455/2*n^2-1173475/3*n^3+600*n^4)*p5*p4*p1+147456*(
109192862856-4311041929*n+219990219/4*n^2-558469/2*n^3+1395/4*n^4)*p5*p3*p2+
147456*(-19163968404+1711075569/2*n-23956601/2*n^2+65206*n^3-90*n^4)*p5*p3*p1^2
+110592*(-15249832042+1208274243/2*n-14974305/2*n^2+30135*n^3)*p5*p2^2*p1+73728
*(2563602342-221964983/2*n+2992473/2*n^2-6365*n^3)*p5*p2*p1^3+61440*(2982520650
-262513645/2*n+3798225/2*n^2-10585*n^3+15*n^4)*p4*p3*p1^3+69120*(2348634920-\
92103010*n+1150120*n^2-4510*n^3)*p4*p2^2*p1^2+30720*(2009019426-147023307/2*n+
1719657/2*n^2-2943*n^3)*p3*p2^3*p1+30720*(-344102334+27315567/2*n-346329/2*n^2+
645*n^3)*p3*p2^2*p1^3+6144*(53101626-4515623/2*n+62197/2*n^2-127*n^3)*p3*p2*p1^
5+46080*(-155207800+2776100*n-10100*n^2)*p4^2*p3*p1+34560*(20176400-363800*n+
1000*n^2)*p4^2*p2*p1^2+30720*(-117528810+4119075/2*n-13515/2*n^2)*p4*p3^2*p2+
30720*(25133460-971535/2*n+3495/2*n^2)*p4*p3^2*p1^2+3072*(489540-10470*n+30*n^2
)*p4*p3*p1^5+11520*(-1611000+24840*n)*p4*p2^3*p1^2+5760*(267440-4560*n)*p4*p2^2
*p1^4+768*(-31320+600*n)*p4*p2*p1^6+40960/3*(19464336-363321*n+1161*n^2)*p3^3*
p2*p1+15360*(-2398308+88101/2*n-189/2*n^2)*p3^2*p2^2*p1^2+5120*(447882-18309/2*
n+45/2*n^2)*p3^2*p2*p1^4+3840*(-1154088+16848*n)*p3*p2^4*p1+5120*(218754-3564*n
)*p3*p2^3*p1^3+1536*(-35220+648*n)*p3*p2^2*p1^5+1024/7*(3990-84*n)*p3*p2*p1^7+
2211840/7*(97688748612-4662902797*n+66009027*n^2-312242*n^3+252*n^4)*p7*p2*p1+
245760*(117411762804-5408297104*n+74293086*n^2-401450*n^3+588*n^4)*p6*p3*p1+
245760*(841694040-16712685*n+41085*n^2)*p9*p2*p1+184320*(1022562216-19635120*n+
62784*n^2)*p8*p3*p1+138240*(-132145920+2546658*n-5490*n^2)*p8*p2*p1^2+1105920/7
*(1079816640-18562110*n+60270*n^2)*p7*p4*p1+737280/7*(801819900-13792149*n+
39501*n^2)*p7*p3*p2+737280/7*(-164325672+3207897*n-10017*n^2)*p7*p3*p1^2+552960
/7*(-105236880+1749510*n-2646*n^2)*p7*p2^2*p1+368640/7*(19355868-363006*n+630*n
^2)*p7*p2*p1^3+147456*(1107337560-17676603*n+55923*n^2)*p6*p5*p1+92160*(
820917930-26500215/2*n+78015/2*n^2)*p6*p4*p2+92160*(-169184820+6030675/2*n-\
18795/2*n^2)*p6*p4*p1^2+40960*(25031160-498435*n+1491*n^2)*p6*p3*p1^3+46080*(
15390228-503937/2*n+441/2*n^2)*p6*p2^2*p1^2+15360*(-2576490+94689/2*n-105/2*n^2
)*p6*p2*p1^4+73728*(931944090-30792315/2*n+109635/2*n^2)*p5*p4*p3+36864*(
25068150-464250*n+1350*n^2)*p5*p4*p1^3+49152*(-153860688+2773665*n-9657*n^2)*p5
*p3^2*p1+36864*(-97810710+3216681/2*n-7425/2*n^2)*p5*p3*p2^2+12288*(-3577530+
145725/2*n-405/2*n^2)*p5*p3*p1^4+18432*(11464632-168480*n)*p5*p2^3*p1-184320*p4
*p3*p2*p1^5-24883200*p4*p3*p2^3*p1+5529600*p4*p3*p2^2*p1^3-137779200*p4*p3^2*p2
*p1^2+1207296000*p4^2*p3*p2*p1-84602880*p5*p3*p2^2*p1^2+5529600*p5*p3*p2*p1^4+
1241284608*p5*p3^2*p2*p1+15360*(-78605478+2319597/2*n-1701/2*n^2)*p6*p2^3+1024*
(317520-12621/2*n+21/2*n^2)*p6*p1^6+4423680/11*(-5879393520+149393244*n-444444*
n^2)*p11*p1+221184*(-5090895810+207762555/2*n-555555/2*n^2)*p10*p2+221184*(
973872900-47582535/2*n+135135/2*n^2)*p10*p1^2+163840*(-6094817190+230851665/2*n
-747945/2*n^2)*p9*p3+81920*(-153189630+3555585*n-9405*n^2)*p9*p1^3+138240*(-\
6573215880+109160190*n-361710*n^2)*p8*p4+69120*(674135640-11411226*n+22410*n^2)
*p8*p2^2+1536*(54821280-2401590*n+34140*n^2-150*n^3)*p4*p1^6+23040*(-\
13248082800+476155170*n-5517000*n^2+20430*n^3)*p4*p2^3+36864/5*(-394213410+
35985535/2*n-521885/2*n^2+1175*n^3)*p5*p1^5+69120*(113028092520-4359633100*n+
54765600*n^2-284100*n^3+400*n^4)*p4^2*p2+69120*(-19871415200+869146100*n-\
11862700*n^2+65500*n^3-100*n^4)*p4^2*p1^2+61440*(122219072472-4726662895*n+
248490285/4*n^2-706525/2*n^3+2505/4*n^4)*p4*p3^2+81920/3*(-19078871688+
771687693*n-10739169*n^2+62496*n^3-108*n^4)*p3^3*p1+30720*(-14606058408+
542586519*n-27462147/4*n^2+65607/2*n^3-135/4*n^4)*p3^2*p2^2+10240*(-441706056+
19668696*n-1187793/4*n^2+3357/2*n^3-9/4*n^4)*p3^2*p1^4+2048/7*(-7022694+625779/
2*n-9261/2*n^2+21*n^3)*p3*p1^7+5760*(-251912016+8551656*n-77976*n^2)*p2^4*p1^2+
3840*(39509952-1431684*n+13932*n^2)*p2^3*p1^4+768*(-5292312+202284*n-2100*n^2)*
p2^2*p1^6+384/7*(512232-20384*n+224*n^2)*p2*p1^8+491520*(-518797270530+
62701171005/2*n-1116009675/2*n^2+2985015*n^3-3960*n^4)*p9*p1+276480*(-\
563437601496+28334082648*n-411620067*n^2+2007294*n^3-2115*n^4)*p8*p2+276480*(
93086099568-5223315774*n+88684806*n^2-464292*n^3+540*n^4)*p8*p1^2+1474560/7*(-\
690737305104+33018837390*n-894695823/2*n^2+2397087*n^3-7371/2*n^4)*p7*p3+737280
/7*(-16003998108+835411395*n-13450500*n^2+68208*n^3-63*n^4)*p7*p1^3+184320*(-\
766061382240+35192167465*n-1745077425/4*n^2+4628785/2*n^3-14805/4*n^4)*p6*p4+
92160*(94378616304-3838962897*n+191857407/4*n^2-407883/2*n^3+315/4*n^4)*p6*p2^2
+30720*(2603388480-126691054*n+7727349/4*n^2-18697/2*n^3+21/4*n^4)*p6*p1^4+
55296*p2^3*p1^6-2488320*p2^4*p1^4+40960/9*(-4008636+83025*n-297*n^2)*p3^3*p1^3+
5120*(11480454-382401/2*n+729/2*n^2)*p3^2*p2^3+1024/3*(-67968+3105/2*n-9/2*n^2)
*p3^2*p1^6+17280*(-98832000+1631400*n-4200*n^2)*p4^2*p2^2+5760*(-3546400+69800*
n-200*n^2)*p4^2*p1^4+2880*(8272800-116640*n)*p4*p2^4+22394880*p2^5*p1^2+221184/
5*(823575270-25715025/2*n+74025/2*n^2)*p5^2*p2+221184/5*(-169972740+5785605/2*n
-17325/2*n^2)*p5^2*p1^2+6144/35*(-22470+420*n)*p5*p1^7+23040*(22376520-490050*n
+1170*n^2)*p8*p1^4+884736/7*(-6886964700+103727421*n-339381*n^2)*p7*p5+36864/7*
(-2925720+60606*n-126*n^2)*p7*p1^5+40960*(922751676-15778959*n+54663*n^2)*p6*p3
^2+111349334016*p7*p5*p2-25560023040*p7*p5*p1^2+122624409600*p7*p4*p3+
1725235200*p7*p4*p1^3+454081904640*p11*p2*p1+433954160640*p10*p3*p1-36531855360
*p10*p2*p1^2-22394880*p2^6-36864*p5*p3*p1^6-11225088000*p5*p4^2*p1+905748480*p5
^2*p2*p1^2-11630739456*p5^2*p3*p1+967680*p6*p2^2*p1^4-21504*p6*p2*p1^6-\
4644864000*p6*p4*p2^2-61286400*p6*p4*p1^4-5969510400*p6*p3^2*p2+1491517440*p6*
p3^2*p1^2+2580480*p6*p3*p1^5-8709120*p6*p2^3*p1^2-15022817280*p7*p3^2*p1-\
5494210560*p7*p3*p2^2-92897280*p7*p3*p1^4+179159040*p7*p2^3*p1-39813120*p7*p2^2
*p1^3+1327104*p7*p2*p1^5+109040762880*p6*p5*p3+1383137280*p6*p5*p1^3+
341839872000*p9*p4*p1+162201600000*p9*p3*p2-39658291200*p9*p3*p1^2-12773376000*
p9*p2^2*p1+1784217600*p9*p2*p1^3+284424929280*p8*p5*p1+130985164800*p8*p4*p2-\
30979584000*p8*p4*p1^2+2300313600*p8*p3*p1^3+933120000*p8*p2^2*p1^2-58060800*p8
*p2*p1^4+261227151360*p7*p6*p1-21012480*p3^3*p2^2*p1+3440640*p3^3*p2*p1^3+
1244160*p3^2*p2^3*p1^2-138240*p3^2*p2^2*p1^4+3072*p3^2*p2*p1^6+276480000*p4*p3^
2*p2^2+5068800*p4*p3^2*p1^4+482918400*p4*p3^3*p1-41472000*p4^2*p2^2*p1^2+
2304000*p4^2*p2*p1^4-92160000*p4^2*p3*p1^3+1105920*p5*p4*p1^5-97320960*p5*p3^2*
p1^3+119439360*p5*p3*p2^3-739324067500032*n^8+34364546587570176*n^7+
9794832869376*n^9-84279228416*n^10-1167360*n^12+450928640*n^11+39607684300800*
p14+552960*(83584401460560-10641274527818*n+902704660383/2*n^2-31382104009/4*n^
3+228052557/4*n^4-692007/4*n^5+525/4*n^6)*p8+1105920*(2974370635356120-\
1292902216824337*n+7181567757921107/36*n^2-344023377367525/24*n^3+9509100214771
/18*n^4-31262923972/3*n^5+8248673407/72*n^6-4497019/6*n^7+65645/24*n^8-95/24*n^
9)*p4+138240*(-29795663537640+8503352053810/3*n-86418249930*n^2+3266776325/3*n^
3-7364075*n^4+24225*n^5-25*n^6)*p4^2+11520*(-729250177128+48404549682*n-\
1169432946*n^2+13130964*n^3-60372*n^4)*p2^4+737280*(901351026215640-\
209612152826538*n+206231829182071/12*n^2-10204435090745/16*n^3+1104524359127/96
*n^4-1660402373/16*n^5+11668643/24*n^6-7861/8*n^7+7/32*n^8)*p6+368640*(
34220506320-891573228*n+2728908*n^2)*p12+245760*(-382288563346536+
340095249223354/5*n-50232714543107/12*n^2+5559441312355/48*n^3-52407111625/32*n
^4+3303688123/240*n^5-1604645/24*n^6+1217/8*n^7-3/32*n^8)*p3^2+92160*(
83157825803316-11640984201360*n+2322146641695/4*n^2-27811638957/2*n^3+739371141
/4*n^4-1384554*n^5+9375/2*n^6)*p2^3+442368/5*(-792351279720+35950863235*n-\
1721542515/4*n^2+4504675/2*n^3-14175/4*n^4)*p5^2+2211840*(1881870253678800-\
8767590152022596/5*n+32986113495434173/60*n^2-168767023726211807/2160*n^3+
8200747792205171/1440*n^4-4540855320141/20*n^5+1861901447977/360*n^6-\
25563026903/360*n^7+901984729/1440*n^8-1475279/432*n^9+323/36*n^10)*p2+2211840*
(-929210842929600+3133696101886754/5*n-26540889079734247/180*n^2+
3962768047133359/240*n^3-483762401213701/480*n^4+8713420600273/240*n^5-\
293499495071/360*n^6+474261141/40*n^7-18062513/160*n^8+15877/24*n^9-133/72*n^10
)*p1^2+1152*(1447261560-45784440*n+392040*n^2)*p2^5+276480*p8*p1^6-\
7201397145600*p13*p1+442368*(2796304230720-182605508085*n+13493965485/4*n^2-\
36561525/2*n^3+105105/4*n^4)*p10+1107025920*p10*p1^4-1490567823360*p9*p5-\
24330240*p9*p1^5-1346313830400*p8*p6+74315612160*p8*p3^2-1343692800*p8*p2^3-\
1793381990400*p10*p4+79705866240*p10*p2^2-32204390400*p11*p1^3-2286511718400*
p11*p3+52351488000*p6*p4^2-2627878256640*p12*p2+615908966400*p12*p1^2-\
12030197760*p6^2*p1^2+52889518080*p6^2*p2+8709120*p6*p2^4+414720000*p4^3*p1^2-\
2907648000*p4^2*p3^2+62208000*p4^2*p2^3+48863969280*p5^2*p4-2090188800*p5^2*p2^
2-23224320*p5^2*p1^4-1244160*p3^2*p2^4+56524800*p3^4*p2-2021916672*p5*p3^3-\
1728000000*p4^3*p2-73728*p3^3*p1^5-14745600*p3^4*p1^2-651661148160*p7^2+768/7*(
-394009392+28386442*n-795522*n^2+10528*n^3-56*n^4)*p1^8+184320*(-67834972103472
+49081332231856/3*n-55319715132601/36*n^2+5422503175457/72*n^3-156297672877/72*
n^4+2813152271/72*n^5-32098309/72*n^6+27349/9*n^7-173/18*n^8)*p1^4+11520*(
936012000-15429000*n+57000*n^2)*p4^3+6144*(-364493740320+46273999463*n-\
28294597639/12*n^2+381239921/6*n^3-11831183/12*n^4+25715/3*n^5-33*n^6)*p1^6+
20480/9*(-135038880+2451708*n-9180*n^2)*p3^4+61440*(-7003485720+102044754*n-\
332514*n^2)*p6^2+552960*(-1426614591888360+1409345591307757/3*n-\
1092760606799967/20*n^2+71241927462383/24*n^3-2028046466507/24*n^4+32954763751/
24*n^5-1658439013/120*n^6+1004069/12*n^7-2869/12*n^8)*p2^2
[4, 4, 2, 2, 2, 2, 2, 2, 2, 2]
-11976199290114696806400*n+13762560*(339364766932-102996170647/4*n+5560475659/8
*n^2-17554211/2*n^3+417717/8*n^4-387/4*n^5)*p3*p2^2*p1+9175040*(-66066303438+
64685057647/12*n-1280664733/8*n^2+6583841/3*n^3-111539/8*n^4+111/4*n^5)*p3*p2*
p1^3+20643840*(352255789198-30254270744*n+1839916935/2*n^2-25248035/2*n^3+
164225/2*n^4-385/2*n^5)*p4*p2*p1^2+2293760*(2083625-39540*n+90*n^2)*p4*p3*p2*p1
^3+3440640*(-7579695+130680*n-270*n^2)*p4*p3*p2^2*p1+8257536*(65351895-1118880*
n+3150*n^2)*p5*p4*p2*p1+5505024*(-11593176+414981/2*n-945/2*n^2)*p5*p3*p2*p1^2+
9175040*(62641110-1076607*n+2583*n^2)*p6*p3*p2*p1+13762560*(7904194781-\
629057505/2*n+4070890*n^2-20140*n^3+45/2*n^4)*p4*p3*p2*p1+6881280*(-\
1031882632665+584677839245/4*n-194352266525/24*n^2+1379100601/6*n^3-29074573/8*
n^4+377389/12*n^5-359/3*n^6)*p2*p1^4+110100480*(376027504497351-\
1047176217678357/8*n+23786121967576249/1440*n^2-1445045432337091/1440*n^3+
37773640264735/1152*n^4-351603120409/576*n^5+19383091927/2880*n^6-16098061/360*
n^7+183287/1152*n^8-35/192*n^9)*p3*p1+9175040*(-1998342951444+925662364925/6*n-\
32629106233/8*n^2+2458030739/48*n^3-5284309/16*n^4+14343/16*n^5-9/16*n^6)*p3^2*
p2+9175040*(381792538566-32267476581*n+23141115863/24*n^2-211245751/16*n^3+
4383065/48*n^4-4265/16*n^5+3/16*n^6)*p3^2*p1^2+917504*(12879821640-4427992367/4
*n+852763793/24*n^2-1063329/2*n^3+86863/24*n^4-31/4*n^5)*p3*p1^5+3440640*(-\
57783522522+4274641611*n-114544665*n^2+1392975*n^3-6795*n^4)*p2^3*p1^2+1720320*
(11377955788-893274244*n+25808003*n^2-336556*n^3+1737*n^4)*p2^2*p1^4+229376*(-\
2236118958+550474285/3*n-5636846*n^2+235877/3*n^3-430*n^4)*p2*p1^6+3440640*(-\
67533893412+6126745477*n-1224242495/6*n^2+18712325/6*n^3-130825/6*n^4+325/6*n^5
)*p4*p1^4+66060288*(87880637016645-69799180857215/4*n+15066191412569/12*n^2-\
679973885723/16*n^3+35205486749/48*n^4-105411523/16*n^5+1469783/48*n^6-455/8*n^
7)*p5*p1+41287680*(117956627974207-257745971229845/12*n+32648683594171/24*n^2-\
467630314225/12*n^3+13603071985/24*n^4-18570101/4*n^5+60905/3*n^6-135/4*n^7)*p4
*p2+41287680*(-22606432475875+15604054890347/4*n-6018078975779/24*n^2+
23503095421/3*n^3-3114717685/24*n^4+6993503/6*n^5-10875/2*n^6+115/12*n^7)*p4*p1
^2+18350080*(5169262669839-15937646423211/20*n+422426031617/9*n^2-66415777327/
48*n^3+3220241249/144*n^4-48343183/240*n^5+133031/144*n^6-11/8*n^7)*p3*p1^3+
20643840*(5464362781073-3116177296077/4*n+335139018123/8*n^2-4476732419/4*n^3+
131215761/8*n^4-265111/2*n^5+476*n^6)*p2^2*p1^2+82575360*(-112802267369196+
321472062913667/10*n-206194358846411/60*n^2+2209572214835/12*n^3-133337773097/
24*n^4+12030752231/120*n^5-44420761/40*n^6+174355/24*n^7-265/12*n^8)*p2*p1^2+
55050240*(-27390387953199+86375625869003/20*n-2967568352923/12*n^2+324441638573
/48*n^3-1579335079/16*n^4+196930049/240*n^5-169271/48*n^6+39/8*n^7)*p3*p2*p1+
1046394961920*p8*p3*p2*p1+2293760*(-989529975+71948709/2*n-815103/2*n^2+1269*n^
3)*p3*p2^3*p1+1720320*(290522885-12961740*n+177700*n^2-730*n^3)*p4*p2*p1^4+
4587520*(-1392188428+224576695/4*n-5916513/8*n^2+14007/4*n^3-27/8*n^4)*p3^2*p2*
p1^2+2293760*(226233739-18011031/2*n+220653/2*n^2-369*n^3)*p3*p2^2*p1^3+458752*
(-50201467+4375661/2*n-58311/2*n^2+105*n^3)*p3*p2*p1^5+33030144*(-1766696690178
+649397932855/4*n-40937653803/8*n^2+140938393/2*n^3-3667965/8*n^4+4515/4*n^5)*
p5*p2*p1+27525120*(-2031697106760+727569113861/4*n-132283473839/24*n^2+
878044525/12*n^3-12024835/24*n^4+4625/3*n^5-5/4*n^6)*p4*p3*p1+286720*(557037-\
8262*n)*p3*p2^4*p1+1146880/3*(-147987+2430*n)*p3*p2^3*p1^3+114688*(38349-702*n)
*p3*p2^2*p1^5+32768/3*(-9651+198*n)*p3*p2*p1^7+23592960*(-43319047758+
2136611034*n-61705437/2*n^2+143787*n^3-189/2*n^4)*p7*p2*p1+18350080*(-\
50883481404+4749026891/2*n-128312499/4*n^2+333697/2*n^3-861/4*n^4)*p6*p3*p1+
13762560*(8428627410-1600646355/4*n+45210333/8*n^2-100779/4*n^3+63/8*n^4)*p6*p2
*p1^2+16515072*(-54998591445+4996732525/2*n-32255310*n^2+173320*n^3-525/2*n^4)*
p5*p4*p1+11010048*(-43213049292+6833600097/4*n-171660219/8*n^2+421365/4*n^3-945
/8*n^4)*p5*p3*p2+11010048*(9662862216-1766210183/4*n+48685641/8*n^2-127771/4*n^
3+315/8*n^4)*p5*p3*p1^2+8257536*(7211894655-587690361/2*n+7369551/2*n^2-14805*n
^3)*p5*p2^2*p1+5505024*(-1593724251+146095131/2*n-2024421/2*n^2+4305*n^3)*p5*p2
*p1^3+5160960*(-1307884305+52606650*n-659220*n^2+2550*n^3)*p4*p2^2*p1^2+3440640
*(-9984492+328293/2*n-189/2*n^2)*p6*p2^2*p1^2+1146880*(2618994-97083/2*n+63/2*n
^2)*p6*p2*p1^4+5505024*(-362002830+11760705/2*n-39585/2*n^2)*p5*p4*p3+2752512*(
-18139065+343980*n-1050*n^2)*p5*p4*p1^3+3670016*(68100270-1187133*n+3717*n^2)*
p5*p3^2*p1+2752512*(41768874-1359099/2*n+2835/2*n^2)*p5*p3*p2^2+917504*(3147774
-125643/2*n+315/2*n^2)*p5*p3*p1^4+1376256*(-6406533+96390*n)*p5*p2^3*p1+1376256
*(1715427-28350*n)*p5*p2^2*p1^3+1376256/5*(-444885+8190*n)*p5*p2*p1^5+3440640*(
69638725-1217450*n+4100*n^2)*p4^2*p3*p1+2580480*(-12030600+219600*n-600*n^2)*p4
^2*p2*p1^2+2293760*(45706790-1556565/2*n+4545/2*n^2)*p4*p3^2*p2+2293760*(-\
12897560+479995/2*n-1515/2*n^2)*p4*p3^2*p1^2+229376*(-560255+11840*n-30*n^2)*p4
*p3*p1^5+860160*(1055700-16740*n)*p4*p2^3*p1^2+430080*(-278940+4860*n)*p4*p2^2*
p1^4+57344*(71420-1380*n)*p4*p2*p1^6+9175040/9*(-8341200+149553*n-405*n^2)*p3^3
*p2*p1+1146880*(1273320-45657/2*n+81/2*n^2)*p3^2*p2^2*p1^2+1146880/3*(-345390+
13671/2*n-27/2*n^2)*p3^2*p2*p1^4+18350080*(-413995725+8397675*n-19305*n^2)*p9*
p2*p1+13762560*(-470943495+8733186*n-25344*n^2)*p8*p3*p1+10321920*(79248312-\
1561626*n+2970*n^2)*p8*p2*p1^2+11796480*(-509075670+8683530*n-27510*n^2)*p7*p4*
p1+7864320*(-330127908+5526747*n-14175*n^2)*p7*p3*p2+7864320*(90954672-1710357*
n+4725*n^2)*p7*p3*p1^2+5898240*(55589634-928746*n+1134*n^2)*p7*p2^2*p1+3932160*
(-14697942+280350*n-378*n^2)*p7*p2*p1^3+11010048*(-528429132+8565795*n-27783*n^
2)*p6*p5*p1+6881280*(-346467450+11209905/2*n-32445/2*n^2)*p6*p4*p2+6881280*(
97201020-3478335/2*n+10815/2*n^2)*p6*p4*p1^2+9175040/3*(-17148726+329721*n-861*
n^2)*p6*p3*p1^3+4587520*(-1779780177+482064985/6*n-1137930*n^2+18130/3*n^3-15/2
*n^4)*p4*p3*p1^3+9437184*(2757488580-41772591*n+137151*n^2)*p7*p5+5212569600*p4
*p3^2*p2*p1^2+928972800*p4*p3*p2^3*p1-309657600*p4*p3*p2^2*p1^3+20643840*p4*p3*
p2*p1^5-42319872000*p4^2*p3*p2*p1+3901685760*p5*p3*p2^2*p1^2-433520640*p5*p3*p2
*p1^4-40924348416*p5*p3^2*p2*p1+326874562560*p5*p4*p3*p2-108958187520*p5*p4*p3*
p1^2-39016857600*p5*p4*p2^2*p1+8670412800*p5*p4*p2*p1^3+7899709440*p6*p3*p2*p1^
3+866077900800*p6*p4*p3*p1-111631564800*p6*p4*p2*p1^2-35548692480*p6*p3*p2^2*p1
+917676490752*p6*p5*p2*p1-111476736000*p7*p3*p2*p1^2+973563494400*p7*p4*p2*p1+
16515072/5*(-351287370+11172735/2*n-33075/2*n^2)*p5^2*p2+330301440/11*(
2698278726-70012800*n+204204*n^2)*p11*p1+16515072*(2111376410-87578205/2*n+
225225/2*n^2)*p10*p2+16515072*(-537602780+27336595/2*n-75075/2*n^2)*p10*p1^2+
36700160/3*(2389173930-87676875/2*n+263835/2*n^2)*p9*p3+18350080/3*(105257295-\
2593305*n+6435*n^2)*p9*p1^3+10321920*(2611864860-42804630*n+137610*n^2)*p8*p4+
20899870801920*p7^2+5160960*(-298218888+5091174*n-8910*n^2)*p8*p2^2+1720320*(-\
20104128+475398*n-990*n^2)*p8*p1^4+27525120*(-1551042282174+162961240848*n-\
48375939381/8*n^2+1573743899/16*n^3-11204543/16*n^4+30709/16*n^5-7/16*n^6)*p6*
p1^2+22020096*(10145197124040-1967865326651/2*n+245511728061/8*n^2-6345180477/
16*n^3+42345117/16*n^4-129899/16*n^5+105/16*n^6)*p5*p3+36700160*(217036494675-\
13533371280*n+984535695/4*n^2-2619045/2*n^3+6435/4*n^4)*p9*p1+20643840*(
217983740205-11161003491*n+329089167/2*n^2-793485*n^3+1485/2*n^4)*p8*p2+
20643840*(-44760313389+2643486219*n-93199293/2*n^2+241923*n^3-495/2*n^4)*p8*p1^
2+15728640*(261854601624-25031344837/2*n+666651231/4*n^2-1722821/2*n^3+4725/4*n
^4)*p7*p3+7864320*(9059436054-507445010*n+17215551/2*n^2-43057*n^3+63/2*n^4)*p7
*p1^3+13762560*(291349874046-53809835695/4*n+1328373165/8*n^2-3492335/4*n^3+
10815/8*n^4)*p6*p4+6881280*(-38469822342+6401980053/4*n-161657559/8*n^2+339381/
4*n^3-189/8*n^4)*p6*p2^2+9175040/27*(2325780-45711*n+135*n^2)*p3^3*p1^3+1146880
/3*(-4608090+150903/2*n-243/2*n^2)*p3^2*p2^3+229376/9*(91620-4041/2*n+9/2*n^2)*
p3^2*p1^6+8192/27*(2349-54*n)*p3*p1^9+73728*p2^2*p1^8+1290240*(43068000-716400*
n+1800*n^2)*p4^2*p2^2+430080*(3295000-66800*n+200*n^2)*p4^2*p1^4+215040*(-\
3898260+56700*n)*p4*p2^4+16515072/5*(99119160-3468465/2*n+11025/2*n^2)*p5^2*p1^
2+65536/5*(110355-2310*n)*p5*p1^7+393216*(3713010-83706*n+126*n^2)*p7*p1^5+
9175040/3*(-352759680+5824203*n-18249*n^2)*p6*p3^2+1146880*(36878814-1096011/2*
n+567/2*n^2)*p6*p2^3+229376/3*(-656712+28245/2*n-21/2*n^2)*p6*p1^6-118082764800
*p9*p2*p1^3+627056640*p2^6+11010048*(332126786964-128927587645/4*n+9018200565/8
*n^2-17698230*n^3+996723/8*n^4-1295/4*n^5)*p5*p1^3+4096*(-1589791+68038*n-768*n
^2)*p2*p1^8+57344*(7532635-301548*n+3168*n^2)*p2^2*p1^6+286720*(-34763859+
1291950*n-12636*n^2)*p2^3*p1^4+47185920*(6918553258848-1595493291411/2*n+
126681035293/4*n^2-2140398181/4*n^3+7707679/2*n^4-44261/4*n^5+21/4*n^6)*p7*p1+
65536/3*(10854711-1025999/2*n+14949/2*n^2-29*n^3)*p3*p1^7+114688*(-62747325+
9199550/3*n-46560*n^2+610/3*n^3)*p4*p1^6+2048*(-17540+380*n)*p4*p1^8+2293760*(-\
1788332742+380663269/4*n-12383007/8*n^2+29477/4*n^3-21/8*n^4)*p6*p1^4+10321920*
(-1849787309952+146282850581*n-7928101335/2*n^2+99061535/2*n^3-602865/2*n^4+
1335/2*n^5)*p4*p2^2+2752512/5*(341803875-34704145/2*n+542535/2*n^2-1225*n^3)*p5
*p1^5+5160960*(-44913635655+1742237550*n-21718650*n^2+111000*n^3-150*n^4)*p4^2*
p2+5160960*(10090904135-454693700*n+6180450*n^2-33800*n^3+50*n^4)*p4^2*p1^2+
4587520*(-46735117380+21177531545/12*n-179522145/8*n^2+1448545/12*n^3-1515/8*n^
4)*p4*p3^2+1720320*(5694735825-206887140*n+2392200*n^2-8730*n^3)*p4*p2^3+
18350080/9*(8295104898-650850315/2*n+17247213/4*n^2-46191/2*n^3+135/4*n^4)*p3^3
*p1+2293760*(5970055552-870508353/4*n+21165219/8*n^2-46665/4*n^3+81/8*n^4)*p3^2
*p2^2+2293760/3*(313901928-56430737/4*n+1624779/8*n^2-4153/4*n^3+9/8*n^4)*p3^2*
p1^4+430080*(155768103-5357772*n+48924*n^2)*p2^4*p1^2+27525120*(8432148017832-\
1683492386905/2*n+221913477177/8*n^2-6179831917/16*n^3+40336905/16*n^4-104475/
16*n^5+21/16*n^6)*p6*p2-289013760*p5*p4*p1^5-54623600640*p5^2*p2*p1^2+
417567080448*p5^2*p3*p1+325140480*p6*p2^3*p1^2-54190080*p6*p2^2*p1^4+2408448*p6
*p2*p1^6-101964054528*p6*p5*p1^3+167447347200*p6*p4*p2^2+6201753600*p6*p4*p1^4+
167435304960*p6*p3^2*p2-55811768320*p6*p3^2*p1^2-263323648*p6*p3*p1^5+
167215104000*p7*p3*p2^2+6193152000*p7*p3*p1^4-6688604160*p7*p2^3*p1+2229534720*
p7*p2^2*p1^3-148635648*p7*p2*p1^5-3272560607232*p6*p5*p3-10987147100160*p8*p5*
p1-4261198233600*p8*p4*p2+1420399411200*p8*p4*p1^2-116266106880*p8*p3*p1^3-\
45984153600*p8*p2^2*p1^2+5109350400*p8*p2*p1^4-10354950144000*p7*p6*p1-\
3882957668352*p7*p5*p2+1294319222784*p7*p5*p1^2-3522075033600*p7*p4*p3-\
108173721600*p7*p4*p1^3+469877391360*p7*p3^2*p1-18395147796480*p11*p2*p1-\
14689495941120*p10*p3*p1+1859803545600*p10*p2*p1^2-12398690304000*p9*p4*p1-\
4841393356800*p9*p3*p2+1613797785600*p9*p3*p1^2+531372441600*p9*p2^2*p1-327680*
p4*p3*p1^7+619315200*p3^3*p2^2*p1-137625600*p3^3*p2*p1^3-46448640*p3^2*p2^3*p1^
2+7741440*p3^2*p2^2*p1^4-344064*p3^2*p2*p1^6-289587200*p4*p3^2*p1^4-13991936000
*p4*p3^3*p1-7818854400*p4*p3^2*p2^2+4702208000*p4^2*p3*p1^3+2322432000*p4^2*p2^
2*p1^2-258048000*p4^2*p2*p1^4+4547149824*p5*p3^2*p1^3-3901685760*p5*p3*p2^3+
9633792*p5*p3*p1^6+407509401600*p5*p4^2*p1+17826075848146944*n^8-\
822567358740004864*n^7+6122160472064/3*n^10-711713689157632/3*n^9+83722240/3*n^
12-32601210880/3*n^11-35500397072592213966848/3*n^3+8535250776125948428288/3*n^
4+21285272158086957891584*n^2-1214635651891200*p14+55050240*(-302650799195745+
2856329535823841/40*n-569758582931699/96*n^2+7129124919567/32*n^3-1555684707941
/384*n^4+2929486343/80*n^5-32642365/192*n^6+10647/32*n^7-7/128*n^8)*p6+6881280*
(-29465690282589+16896942390513/4*n-1728277158651/8*n^2+10599956571/2*n^3-\
572677581/8*n^4+2163051/4*n^5-3675/2*n^6)*p2^3+458752*(197403085125-\
111117555313/4*n+112950742159/72*n^2-557439181/12*n^3+56095681/72*n^4-43141/6*n
^5+523/18*n^6)*p1^6+82575360*(-958360120017300+843877152245867/2*n-\
4751409173165755/72*n^2+345897483110629/72*n^3-51572912671723/288*n^4+
341969318851/96*n^5-5658299333/144*n^6+4092539/16*n^7-88085/96*n^8+365/288*n^9)
*p4+41287680*(467352816004368-2346667682546492/15*n+185077985635199/10*n^2-\
24557598426847/24*n^3+474484450013/16*n^4-19600109043/40*n^5+24919463/5*n^6-\
60631/2*n^7+1387/16*n^8)*p2^2+13762560*(25328306921904-32347121402074/5*n+
116621678674829/180*n^2-2446882371161/72*n^3+75375065041/72*n^4-7189775587/360*
n^5+85793777/360*n^6-15103/9*n^7+49/9*n^8)*p1^4+165150720*(-586920144524175+
66245849014853443/120*n-252180300134404519/1440*n^2+4033420425034151/160*n^3-\
2144182374653441/1152*n^4+72129546926971/960*n^5-4987496951117/2880*n^6+
5763109771/240*n^7-81754843/384*n^8+222955/192*n^9-73/24*n^10)*p2+86016*(-\
677622375+21584070*n-184680*n^2)*p2^5+41287680*(-29448258840000+3801553868332*n
-326092133235/2*n^2+11416343741/4*n^3-82902501/4*n^4+246147/4*n^5-165/4*n^6)*p8
+10321920*(10749160422880-3107142045670/3*n+95373196315/3*n^2-1198112900/3*n^3+
8005000/3*n^4-8550*n^5+25/3*n^6)*p4^2+4587520*(2808961848-41409018*n+136710*n^2
)*p6^2+860160*(-366355500+5953500*n-21000*n^2)*p4^3+4587520/27*(47989800-832140
*n+2700*n^2)*p3^4+33030144*(-1038051124110+821814355505/12*n-10180257945/8*n^2+
82364425/12*n^3-75075/8*n^4)*p10+53816220057600*p10*p4+2043905310720*p11*p1^3-\
113541120*p8*p1^6+268852160102400*p13*p1+87376952033280*p12*p2-29125650677760*
p12*p1^2+65842949652480*p11*p3-2004000768000*p8*p3^2+45984153600*p8*p2^3+4096*
p3^2*p1^8+42932849541120*p8*p6-2789705318400*p10*p2^2-103322419200*p10*p1^4+
46619075543040*p9*p5+3936092160*p9*p1^5-1881479577600*p6^2*p2+627159859200*p6^2
*p1^2+2359296*p7*p1^7-1576028160000*p6*p4^2-1511252951040*p5^2*p4-28672*p6*p1^8
+5734400*p4^2*p1^6+77428736000*p4^2*p3^2+81935400960*p5^2*p2^2+3034644480*p5^2*
p1^4+52407828480*p5*p3^3+54190080000*p4^3*p2-18063360000*p4^3*p1^2-243855360*p6
*p2^4+458752000*p3^4*p1^2-2322432000*p4^2*p2^3-6193152*p2^3*p1^6+4587520*p3^3*
p1^5+34836480*p3^2*p2^4-1376256000*p3^4*p2-836075520*p2^5*p1^2+139345920*p2^4*
p1^4-1026496845654462414848/3*n^5+66839467676666445824/3*n^6+860160*(
291612114144-19965698676*n+492968106*n^2-5597928*n^3+25866*n^4)*p2^4+8192*(
439293624-37257100*n+3601240/3*n^2-17720*n^3+308/3*n^4)*p1^8+27525120*(-\
13385572200+350246988*n-1058148*n^2)*p12+18350080*(130997543114691-\
189369772565869/8*n+424729014936181/288*n^2-3941401527497/96*n^3+665596235659/
1152*n^4-228603785/48*n^5+12761507/576*n^6-1459/32*n^7+3/128*n^8)*p3^2+
165150720*(294427887744375-24287020685084539/120*n+23419699195984877/480*n^2-\
24327226347375263/4320*n^3+2052313806063653/5760*n^4-19233158462047/1440*n^5+
898164876163/2880*n^6-6743359799/1440*n^7+262307357/5760*n^8-233495/864*n^9+73/
96*n^10)*p1^2+33030144/5*(301640322060-55140885345/4*n+1323617715/8*n^2-3480225
/4*n^3+11025/8*n^4)*p5^2+4096/45*(328815-14940*n+180*n^2)*p1^10
[4, 3, 3, 3, 3, 3, 2]
1162145936914513920*n-6298560*p5*p1^5+1049760*p3*p2*p1^5-32192640*p3^2*p1^4+
233280/7*(-393287520528+75992881251/2*n-1320477795*n^2+95166981/4*n^3-1056573/4
*n^4+7035/4*n^5-21/4*n^6)*p7*p1+19440*(-747588523500+79258452182*n-9473750615/3
*n^2+196284032/3*n^3-2348563/3*n^4+15442/3*n^5-14*n^6)*p6*p2+1620*(999936-8064*
n)*p6*p1^4+1215/4*(-5691136+247920*n-4432*n^2+32*n^3)*p2^4*p1^2+405/2*(75456-\
1152*n)*p2^3*p1^4+3888*(5871780-100980*n+540*n^2)*p5*p2*p1^3+1440*(-154680840+
3333150*n-25110*n^2)*p3^3*p1+1620*(-647563680+30711708*n-643104*n^2+7272*n^3-36
*n^4)*p3^2*p2^2+9720*(-118427008+3863328*n-47152*n^2+224*n^3)*p6*p2*p1^2+162*(
848880-12960*n)*p2*p1^6+46656*(-7018048745064+4957627624775/4*n-1272901773625/
16*n^2+20408487365/8*n^3-3153764585/64*n^4+10288865/16*n^5-183575/32*n^6+505/16
*n^7-5/64*n^8)*p5*p1+29160*(-11490958673040+6313277651995/3*n-1719728357437/12*
n^2+30017842045/6*n^3-5050777265/48*n^4+17149655/12*n^5-296315/24*n^6+715/12*n^
7-5/48*n^8)*p4*p2+29160*(1227568969200-488281324354/3*n+47159301731/6*n^2-\
2361411085/12*n^3+37593235/12*n^4-134515/4*n^5+2815/12*n^6-5/6*n^7)*p4*p1^2+
12960*(-159516592416+15548922846*n-2185850709/4*n^2+79010577/8*n^3-825381/8*n^4
+4599/8*n^5-9/8*n^6)*p3*p1^3+7776*(3731207850-351248805/2*n+13522905/4*n^2-\
71505/2*n^3+675/4*n^4)*p5*p3*p2+7776*(-75360960+1398105*n-9405*n^2)*p5*p3*p1^2+
3645*(4005080800-553378460/3*n+3200200*n^2-83800/3*n^3+100*n^4)*p4^2*p2+3645*(-\
97702560+2859820*n-37700*n^2+200*n^3)*p4^2*p1^2+3240*(3063470760-114286230*n+
1947240*n^2-18900*n^3+90*n^4)*p4*p3^2+1215*(-788231040+118043840/3*n-757860*n^2
+20200/3*n^3-20*n^4)*p4*p2^3+5832*(-344308680+16024260*n-322275*n^2+3390*n^3-15
*n^4)*p5*p2^2*p1+46656/7*(-185377500+3168270*n-25830*n^2)*p7*p5+3240*(3346920-\
50310*n+270*n^2)*p4*p3*p1^3+3645*(23828480-871880*n+13080*n^2-80*n^3)*p4*p2^2*
p1^2-9720*p4*p2^5+1215*(-244800+2880*n)*p4*p2*p1^4+14580*(-261113126336+
92609071576/3*n-4467922765/3*n^2+250505819/6*n^3-4693541/6*n^4+20129/2*n^5-497/
6*n^6+1/3*n^7)*p2^2*p1^2+4860*(17226608352-1420675992*n+46118814*n^2-812640*n^3
+8046*n^4-36*n^5)*p2*p1^4+77760*(-38517440371296+24866900940743/2*n-\
5788266016215/4*n^2+5259727697055/64*n^3-170556153509/64*n^4+14407686269/256*n^
5-1089486289/1280*n^6+1213077/128*n^7-9537/128*n^8+93/256*n^9-1/1280*n^10)*p3*
p1+58320*(9473117126144-13906602353009/6*n+1671931804207/8*n^2-231276471433/24*
n^3+26295296963/96*n^4-261439265/48*n^5+1275085/16*n^6-3387/4*n^7+571/96*n^8-1/
48*n^9)*p2*p1^2+19440*(45997314972-3215706900*n+80581718*n^2-1066156*n^3+7854*n
^4-28*n^5)*p6*p1^2+15552*(-846105175170+164637041895/2*n-22894708635/8*n^2+
826173585/16*n^3-9448785/16*n^4+67455/16*n^5-225/16*n^6)*p5*p3+7776*(-\
4071541320+193390650*n-6324795/2*n^2+24435*n^3-135/2*n^4)*p5*p1^3+7290*(
173759032720-47769275500/3*n+1732982120/3*n^2-33830485/3*n^3+384755/3*n^4-2335/
3*n^5+5/3*n^6)*p4*p2^2+2430*(272205120-9103440*n+125280*n^2-720*n^3)*p4*p1^4+
6480*(170004907800-14215384095*n+944296959/2*n^2-9057036*n^3+224559/2*n^4-855*n
^5+3*n^6)*p3^2*p2+6480*(-7729777080+386938926*n-7053336*n^2+64044*n^3-234*n^4)*
p3^2*p1^2+648*(-11161800+200610*n-810*n^2)*p3*p1^5+2430*(1812579744-129139836*n
+4064354*n^2-74368*n^3+798*n^4-4*n^5)*p2^3*p1^2+1215*(-58855008+2566704*n-43344
*n^2+288*n^3)*p2^2*p1^4+11664*(1619786700-59048250*n+1936575/2*n^2-8775*n^3+75/
2*n^4)*p5*p4*p1+3645*(41793840-1053360*n+7920*n^2)*p8*p2^2+68040000*p6*p4^2+
3240*(12734568-267408*n+1872*n^2)*p3^2*p2*p1^2-153964800*p9*p1^3+7290*(-\
176946000+3119820*n-23100*n^2)*p8*p4+1620*(61651416-2907522*n+61065*n^2-666*n^3
+3*n^4)*p3*p2^3*p1+1620*(-1014336+19692*n-108*n^2)*p3*p2^2*p1^3-440899200*p5^2*
p1^2+233280/11*(-57032976+2021019/2*n-15015/2*n^2)*p11*p1+11664*(-199859660+
5373368*n-40040*n^2)*p10*p2+11664*(2206204-8008*n)*p10*p1^2+38880*(
1953587425968-1103764515069/4*n+237924975703/16*n^2-7002203811/16*n^3+541834897
/64*n^4-920139/8*n^5+34473/32*n^6-99/16*n^7+1/64*n^8)*p3*p2*p1+6480*(675847980-\
31616433*n+1135449/2*n^2-4761*n^3+27/2*n^4)*p3*p2*p1^3+8640*(-147516930+5311845
/2*n-43065/2*n^2)*p9*p3+146266560*p5*p3*p2*p1^2+9720*(-17788915080+1357719870*n
-88754935/2*n^2+3458469/4*n^3-42921/4*n^4+315/4*n^5-1/4*n^6)*p3*p2^2*p1+23328*(
92949905640-15452428235/2*n+1019520145/4*n^2-19176785/4*n^3+113715/2*n^4-1605/4
*n^5+5/4*n^6)*p5*p2*p1+19440*(94586822340-6839566467*n+747362705/4*n^2-24019845
/8*n^3+249945/8*n^4-1635/8*n^5+5/8*n^6)*p4*p3*p1+14580*(-9207034600+602421810*n
-16312915*n^2+251780*n^3-2285*n^4+10*n^5)*p4*p2*p1^2+2160*(17231760-233856*n+
2016*n^2)*p6*p3^2-97200*p4*p3*p2^3*p1+729000*p4^2*p3*p2*p1-26244000*p5*p4*p3*p2
+1749600*p5*p4*p2^2*p1+810*(-8189664+186816*n-1344*n^2)*p6*p2^3+12960*(
1412536566-47316024*n+655515*n^2-5040*n^3+21*n^4)*p6*p3*p1+116640/7*(1696031358
-79420194*n+1494717*n^2-14826*n^3+63*n^4)*p7*p2*p1+7776*(8433600-107520*n+840*n
^2)*p6*p5*p1+4860*(34553680-612640*n+4480*n^2)*p6*p4*p2+4860*(-334880+2240*n)*
p6*p4*p1^2+2430*(115136-896*n)*p6*p2^2*p1^2+3888*(22087800-391275*n+3375*n^2)*
p5*p4*p3+1944*(-6464520+151110*n-1350*n^2)*p5*p3*p2^2+972*(598920-14280*n+120*n
^2)*p5*p2^3*p1+11664/5*(36325800-737100*n+6300*n^2)*p5^2*p2+2430*(-1178040+
18750*n-150*n^2)*p4^2*p3*p1+3645/2*(86000-800*n)*p4^2*p2*p1^2+1620*(-4091400+
79920*n-720*n^2)*p4*p3^2*p2+1215/2*(-27680+320*n)*p4*p2^3*p1^2+405/2*(-113760+
2808*n-24*n^2)*p3*p2^4*p1+12960*(12705660-255420*n+1980*n^2)*p9*p2*p1+9720*(
6652800-65043*n+495*n^2)*p8*p3*p1+7290*(-505560+2640*n)*p8*p2*p1^2+58320/7*(
9488640-160860*n+1260*n^2)*p7*p4*p1+38880/7*(31355100-651672*n+5544*n^2)*p7*p3*
p2-38880*p3^2*p2^4+29160/7*(-2805600+62328*n-504*n^2)*p7*p2^2*p1+25920*(-\
7943012352+382797360*n-13209075/2*n^2+60885*n^3-495/2*n^4)*p9*p1+14580*(-\
18871362840+1124250490*n-24440064*n^2+249260*n^3-990*n^4)*p8*p2+14580*(
587182200-17912862*n+184074*n^2-660*n^3)*p8*p1^2+77760/7*(-18934132392+
916682697*n-15897546*n^2+154602*n^3-693*n^4)*p7*p3+38880/7*(-30227904+440748*n-\
2268*n^2)*p7*p1^3+9720*(-21534682680+3086997620/3*n-16793700*n^2+433720/3*n^3-\
560*n^4)*p6*p4+4860*(4056275552-657039656/3*n+4478656*n^2-131824/3*n^3+168*n^4)
*p6*p2^2+243/8*(8384-128*n)*p2^5*p1^2+3645/4*(-6495200+119200*n-800*n^2)*p4^2*
p2^2+1215/8*(1467520-28960*n+160*n^2)*p4*p2^4+270*(1209744-30816*n+288*n^2)*p3^
2*p2^3+6531840*p6*p3*p1^3+10497600*p5*p4*p1^3-1335294720*p5*p3^2*p1-2099520*p5*
p2^2*p1^3+30326400*p4*p3^2*p1^2+72316800*p3^3*p2*p1-6065280*p3^2*p2^2*p1^2+
116640*p3*p2^3*p1^3-890196480*p7*p3*p1^2+25194240*p7*p2*p1^3+1944*p3*p2^5*p1-\
4374000*p5*p4^2*p1+1399680*p7*p2^3*p1+97977600*p6*p5*p3-21772800*p6*p4*p2^2-\
8709120*p6*p3^2*p2+78382080*p7*p6*p1+344321280*p7*p5*p2+153964800*p7*p4*p3-\
30792960*p7*p3*p2^2+318427200*p11*p2*p1+46702656*p10*p3*p1+128304000*p9*p4*p1+
372081600*p9*p3*p2-25660800*p9*p2^2*p1+57736800*p8*p5*p1+336798000*p8*p4*p2-\
139968000*p3^4-2568646080*p10*p4-5443200*p6*p4*p3*p1+1088640*p6*p3*p2^2*p1-\
2078524800*p9*p5+467026560*p10*p2^2+9720*(-271603080+10489185*n-364125/2*n^2+
1725*n^3-15/2*n^4)*p4*p3*p2*p1+1749600*p5*p3*p2^3-13063680*p6*p5*p2*p1-9622800*
p8*p3*p2*p1+1166400*p4*p3^2*p2^2+5832*(-2012100+36900*n-300*n^2)*p5*p4*p2*p1+
2430*(375360-7260*n+60*n^2)*p4*p3*p2^2*p1+6480*(-1537704+21168*n-168*n^2)*p6*p3
*p2*p1-1749600*p4*p3*p2*p1^3-19245600*p8*p2^3-20995200*p7*p4*p2*p1-58320*p5*p2^
4*p1+38491200*p8*p3^2-268477942011545700*n^4+1124363407305167280*n^3+
54251596800*p14+32733270484177140*n^5-2257125657092919*n^6-756068985*n^10+
52983826758*n^9-50139*n^12+7647372*n^11-1007769600*p7^2+58320*(110432501437440-\
142617737570581/3*n+265912333639469/36*n^2-79945041941837/144*n^3+1663849435573
/72*n^4-338551009315/576*n^5+5666139947/576*n^6-31931555/288*n^7+78095/96*n^8-\
1955/576*n^9+1/192*n^10)*p4-2048600476247737536*n^2+243/4*(155738240-23443856/3
*n+146224*n^2-3136/3*n^3)*p2^5+29160*(2624037736320-338811282216*n+15669989071*
n^2-703209749/2*n^3+8771917/2*n^4-58795/2*n^5+165/2*n^6)*p8+7290*(-900658707200
+262649903120/3*n-9055490630/3*n^2+52417355*n^3-541675*n^4+9775/3*n^5-25/3*n^6)
*p4^2+23328*(81167005920-16431240826/3*n+124122999*n^2-3829826/3*n^3+5005*n^4)*
p10+81/16*(-289920+4608*n)*p2^6+1215/2*(-34060660224+3019309264*n-330242360/3*n
^2+6522704/3*n^3-71656/3*n^4+352/3*n^5)*p2^4+38880*(30804042709440-\
7159718728680*n+1823322258142/3*n^2-303157072799/12*n^3+14247896999/24*n^4-\
103442927/12*n^5+466445/6*n^6-2401/6*n^7+7/8*n^8)*p6+324*(-704981664+32026860*n
-526500*n^2+3240*n^3)*p1^6+9720*(-1321132702464+235495974912*n-15172224891*n^2+
977052549/2*n^3-18738303/2*n^4+229269/2*n^5-1707/2*n^6+3*n^7)*p1^4+116640*(-\
35299383168000+45422761081045/2*n-120595035525971/24*n^2+50142506173733/96*n^3-\
708936951785/24*n^4+390108689423/384*n^5-45426713509/1920*n^6+32429007/80*n^7-\
336889/64*n^8+19387/384*n^9-207/640*n^10+1/960*n^11)*p1^2+19440*(931170240-\
25581192*n+185640*n^2)*p12+29160*(-51492979456000+16960006483259*n-\
73696708815059/36*n^2+4467327733115/36*n^3-639427451561/144*n^4+3762266059/36*n
^5-122584873/72*n^6+688285/36*n^7-6547/48*n^8+17/36*n^9)*p2^2+1215/2*(25972800-\
423000*n+3000*n^2)*p4^3+486000*p4^2*p2^3-2680954640721*n^8+95557931803368*n^7+
162*n^13+23328/5*(-22333481100+1069678575*n-36311625/2*n^2+174825*n^3-1575/2*n^
4)*p5^2+4860*(2879316237312-444700054028*n+81678914917/3*n^2-5490935893/6*n^3+
115542233/6*n^4-1578319/6*n^5+13181/6*n^6-26/3*n^7)*p2^3+12960*(-12556674116208
+2236489051872*n-144310202223*n^2+37095446685/8*n^3-1439079753/16*n^4+9584781/8
*n^5-44817/4*n^6+267/4*n^7-3/16*n^8)*p3^2+116640*(75068557132800-\
138190990292513/2*n+516511251880807/24*n^2-891590456191735/288*n^3+
34241637187909/144*n^4-12420780736157/1152*n^5+121046241491/384*n^6-6127028089/
960*n^7+17733125/192*n^8-1085189/1152*n^9+7153/1152*n^10-29/1440*n^11)*p2-\
3645000*p4^3*p2-2916000*p4^2*p3^2+73483200*p5^2*p4-14696640*p5^2*p2^2+544320*p6
*p2^4+121927680*p6^2*p2-1616630400*p8*p6-1998743040*p13*p1-7217683200*p12*p2-\
2292675840*p11*p3+3240*(-181903680+2558976*n-18816*n^2)*p6^2
[4, 3, 3, 3, 3, 2, 2, 2]
-24143507050317742080*n+279936*p3*p1^7-70543872*p6*p3*p2^2*p1+31104/7*(-2444400
+40908*n-252*n^2)*p7*p2*p1^3+15552*(6372046680-544609865/2*n+18581995/4*n^2-\
79395/2*n^3+525/4*n^4)*p4*p3*p2*p1+2592*(322920-4950*n+30*n^2)*p4*p3*p2*p1^3+
3888*(-8642880+173000*n-1080*n^2)*p4*p3*p2^2*p1+31104/5*(-4736160+93735*n-675*n
^2)*p5*p3*p2*p1^2+46656/5*(50608050-915400*n+5700*n^2)*p5*p4*p2*p1+10368*(
50999004-1013516*n+6720*n^2)*p6*p3*p2*p1+9762032520*n^10-802027989072*n^9+
46660958636616*n^8-1837844200119456*n^7+45911189155445496*n^6-\
682118074243798272*n^5+93312/7*(-291131400+4829580*n-29820*n^2)*p7*p4*p1+62208/
7*(-483562170+9657480*n-60480*n^2)*p7*p3*p2+5630141613258773280*n^4-\
23531142299345224704*n^3+42682506597083395584*n^2+62208/7*(23999598-399420*n+
2772*n^2)*p7*p3*p1^2+46656/7*(56805168-1203216*n+7056*n^2)*p7*p2^2*p1+15552*(-\
285318990+5463975*n-36135*n^2)*p8*p3*p1+11664*(30858960-633600*n+3960*n^2)*p8*
p2*p1^2+1296*(127680-896*n)*p6*p2*p1^4+62208/5*(-305958660+5069260*n-32760*n^2)
*p6*p5*p1+7776*(-485240280+8575280*n-51520*n^2)*p6*p4*p2+20736*(-317344500+
7249440*n-43560*n^2)*p9*p2*p1+3456*(-1430100+14280*n-84*n^2)*p6*p3*p1^3+3888*(-\
5627888+113568*n-672*n^2)*p6*p2^2*p1^2+324*(1643760-33512*n+168*n^2)*p3*p2^4*p1
+432*(-91008+1932*n-12*n^2)*p3*p2^3*p1^3+468504*n^12-83877120*n^11+93312*(-\
147585880207040+38469513153397*n-134677158348679/36*n^2+13377550852355/72*n^3-\
796619566489/144*n^4+31689907147/288*n^5-111017555/72*n^6+2172827/144*n^7-4535/
48*n^8+83/288*n^9)*p2*p1^2+7776*(24228680-370160*n+2240*n^2)*p6*p4*p1^2+124416*
(556213974839040-1480678929257027/8*n+2141931534343013/96*n^2-83941187013165/64
*n^3+16643255253053/384*n^4-689562854527/768*n^5+3235252021/256*n^6-47361715/
384*n^7+153391/192*n^8-757/256*n^9+1/256*n^10)*p3*p1+3888*(39647700-668750*n+
4350*n^2)*p4^2*p3*p1+2916*(-4407200+72800*n-400*n^2)*p4^2*p2*p1^2+2592*(
72171900-1423440*n+9600*n^2)*p4*p3^2*p2-1296*n^13+2592*(-3161700+50040*n-360*n^
2)*p4*p3^2*p1^2+972*(954560-17840*n+80*n^2)*p4*p2^3*p1^2+486*(-28320+320*n)*p4*
p2^2*p1^4+1152*(-7823412+168912*n-1296*n^2)*p3^3*p2*p1+1296*(880776-19440*n+144
*n^2)*p3^2*p2^2*p1^2+15552/5*(-1713150+24450*n-150*n^2)*p5*p4*p1^3+20736/5*(
42501870-804060*n+5940*n^2)*p5*p3^2*p1+6718464*p7*p1^5+15552/5*(81134280-\
1625520*n+10200*n^2)*p5*p3*p2^2+7776/5*(-9738060+196240*n-1080*n^2)*p5*p2^3*p1+
373248/11*(1709022315-82617535/2*n+495495/2*n^2)*p11*p1+7776/5*(487980-9540*n+
60*n^2)*p5*p2^2*p1^3+2592*(-1100747364+49593571*n-1775449/2*n^2+7365*n^3-39/2*n
^4)*p3*p2^3*p1+2592*(70531596-2914095*n+103629/2*n^2-465*n^3+3/2*n^4)*p3*p2^2*
p1^3+31104/5*(-423022950+7361025*n-48225*n^2)*p5*p4*p3+5184*(-652915320+
27191262*n-489960*n^2+4644*n^3-18*n^4)*p3^2*p2*p1^2+3456*(-432857880+8110704*n-\
55104*n^2)*p6*p3^2+93312/5*(-161491330+3203200*n-20020*n^2)*p10*p1^2+13824*(
2800620900-114081165/2*n+706365/2*n^2)*p9*p3+6912*(11998800-165330*n+990*n^2)*
p9*p1^3+62208*(-32222272992642+38305561535991/8*n-25759744648027/96*n^2+
756590077861/96*n^3-54930961289/384*n^4+1711840*n^5-843815/64*n^6+5447/96*n^7-\
11/128*n^8)*p3*p2*p1+186624/7*(-35743905393+1792468769*n-65361555/2*n^2+274939*
n^3-1701/2*n^4)*p7*p2*p1+20736*(-37660950033+1679619361*n-55638709/2*n^2+237783
*n^3-1659/2*n^4)*p6*p3*p1+15552*(4092811072-549203452/3*n+3185336*n^2-80696/3*n
^3+84*n^4)*p6*p2*p1^2+11664*(2946913200-50169900*n+300300*n^2)*p8*p4+93312/5*(-\
39926896800+3396484425/2*n-105329525/4*n^2+422125/2*n^3-2775/4*n^4)*p5*p4*p1+
5832*(-507145320+11103840*n-63360*n^2)*p8*p2^2+1944*(-590040+2640*n)*p8*p1^4+
62208/5*(-56940405795+10222266165/4*n-342662235/8*n^2+1434915/4*n^3-9525/8*n^4)
*p5*p3*p2+62208/5*(3939818385-621880815/4*n+20318085/8*n^2-89685/4*n^3+675/8*n^
4)*p5*p3*p1^2+373248/35*(3132577350-50232210*n+306810*n^2)*p7*p5+46656/5*(
6587167200-303031455*n+10635305/2*n^2-43805*n^3+255/2*n^4)*p5*p2^2*p1+31104/5*(
-411765660+16331850*n-538875/2*n^2+2295*n^3-15/2*n^4)*p5*p2*p1^3+2592/5*(-\
2087940+40740*n-180*n^2)*p3*p2*p1^5+5184*(-342213840+22401135/2*n-632145/4*n^2+
2385/2*n^3-15/4*n^4)*p4*p3*p1^3+5832*(-715858720+92306740/3*n-526510*n^2+12500/
3*n^3-10*n^4)*p4*p2^2*p1^2+1944*(34183680-1102280*n+14200*n^2-80*n^3)*p4*p2*p1^
4+41472*(176893994970-20228655315/2*n+783144615/4*n^2-3372435/2*n^3+21285/4*n^4
)*p9*p1-20995200*p5*p4*p3*p1^2-54587520*p5*p4*p2^2*p1+23328*(281070599040-\
15734031720*n+297624525*n^2-2465430*n^3+7425*n^4)*p8*p2+580608*p6*p3*p2*p1^3+
448519680*p6*p4*p3*p1+1296*(85439088-1723008*n+9408*n^2)*p6*p2^3-34836480*p6*p4
*p2*p1^2+825624576*p6*p5*p2*p1-49268736*p7*p3*p2*p1^2+811814400*p7*p4*p2*p1+
1131641280*p8*p3*p2*p1+93312/25*(-501010650+8832600*n-54600*n^2)*p5^2*p2+93312/
25*(26154450-450450*n+3150*n^2)*p5^2*p1^2+186624/5*(-1717809954540+604290840745
/4*n-40267520715/8*n^2+176044625/2*n^3-7117765/8*n^4+19365/4*n^5-10*n^6)*p5*p2*
p1+1458*(76760400-1408000*n+8000*n^2)*p4^2*p2^2+31104*(-1897057193610+
314487542315/2*n-9692154005/2*n^2+637414905/8*n^3-6358695/8*n^4+36235/8*n^5-85/
8*n^6)*p4*p3*p1+486*(92400-800*n)*p4^2*p1^4+23328*(230634898080-52982342740/3*n
+1621489105/3*n^2-18293245/2*n^3+548705/6*n^4-2905/6*n^5+5/6*n^6)*p4*p2*p1^2+
15552*(326568452124-25511609124*n+806776078*n^2-28182451/2*n^3+290601/2*n^4-\
1597/2*n^5+3/2*n^6)*p3*p2^2*p1+243*(-13479360+253280*n-1120*n^2)*p4*p2^4+93312/
5*(2856904050-69869800*n+400400*n^2)*p10*p2+10368*(-27041020308+1849289467*n-\
213876991/4*n^2+7201009/8*n^3-75369/8*n^4+447/8*n^5-1/8*n^6)*p3*p2*p1^3+933120*
p5*p4*p2*p1^3-49268736*p5*p3^2*p2*p1+620991360*p5*p4*p3*p2+2877120*p4*p3*p2^3*
p1-77760*p4*p3*p2^2*p1^3+1866240*p4*p3^2*p2*p1^2-34408800*p4^2*p3*p2*p1+4199040
*p5*p3*p2^2*p1^2+10368*(235251996174-34118195145/2*n+1983492219/4*n^2-8310642*n
^3+352431/4*n^4-1107/2*n^5+3/2*n^6)*p3^2*p1^2+5184/5*(1590515280-74589915*n+
2579535/2*n^2-9915*n^3+45/2*n^4)*p3*p1^5+1944*(3048295152-199105724*n+5633618*n
^2-91648*n^3+878*n^4-4*n^5)*p2^2*p1^4+1296/5*(-155946960+6944520*n-114120*n^2+
720*n^3)*p2*p1^6+373248/5*(111344949045540-165886492917535/8*n+135617339111975/
96*n^2-4557103459835/96*n^3+351140794225/384*n^4-176607505/16*n^5+5325955/64*n^
6-33835/96*n^7+75/128*n^8)*p5*p1+46656*(167830891382700-61232414452945/2*n+
48478402764625/24*n^2-1561987742545/24*n^3+115104996935/96*n^4-167235845/12*n^5
+4891135/48*n^6-9865/24*n^7+55/96*n^8)*p4*p2+46656*(-22869186230940+
20709849990985/6*n-4693595112635/24*n^2+45809861685/8*n^3-9799411285/96*n^4+
14348375/12*n^5-431165/48*n^6+895/24*n^7-5/96*n^8)*p4*p1^2+373248/7*(
7162652647395-1522310244875/2*n+29136385103*n^2-2184162085/4*n^3+22719025/4*n^4
-124915/4*n^5+273/4*n^6)*p7*p1+31104*(11194712970210-1155647833193*n+
255720218201/6*n^2-2300658563/3*n^3+45992527/6*n^4-121954/3*n^5+84*n^6)*p6*p2+
31104*(-1121189595330+297394649405/3*n-19624321367/6*n^2+168356552/3*n^3-\
3410239/6*n^4+9527/3*n^5-7*n^6)*p6*p1^2+124416/5*(13193270622000-5194945985995/
4*n+176818711315/4*n^2-11613426335/16*n^3+112842585/16*n^4-626205/16*n^5+1475/
16*n^6)*p5*p3+62208/5*(151393932540-44618888855/4*n+2542185295/8*n^2-40011725/8
*n^3+97425/2*n^4-2205/8*n^5+5/8*n^6)*p5*p1^3+11664*(-2489406849720+213383592950
*n-20729742355/3*n^2+351278960/3*n^3-3431015/3*n^4+17590/3*n^5-10*n^6)*p4*p2^2+
2304*(5943482001-242835894*n+4270536*n^2-40284*n^3+162*n^4)*p3^3*p1+2592*(
9202219848-406775988*n+7204350*n^2-62892*n^3+210*n^4)*p3^2*p2^2+864*(22647816-\
469872*n+2736*n^2)*p3^2*p1^4+324/5*(177120-2880*n)*p2^2*p1^6+23328*(-\
21518882880+1032782300*n-17813235*n^2+151030*n^3-495*n^4)*p8*p1^2+124416/7*(
317495819970-15914921442*n+529386459/2*n^2-2187801*n^3+14427/2*n^4)*p7*p3+62208
/7*(2241439011-86642787*n+2540265/2*n^2-9849*n^3+63/2*n^4)*p7*p1^3+15552*(
349849560060-16682464260*n+250661740*n^2-1938440*n^3+6160*n^4)*p6*p4+7776*(-\
54636764448+2666975416*n-46706044*n^2+376600*n^3-1092*n^4)*p6*p2^2+2592*(-\
187733280+5221664*n-52976*n^2+224*n^3)*p6*p1^4+15552/25*(11999400-204300*n+900*
n^2)*p5*p1^5+5832*(-58245154800+2508650600*n-39783350*n^2+313700*n^3-950*n^4)*
p4^2*p2+5832*(3980354800-448276000/3*n+2256850*n^2-51500/3*n^3+50*n^4)*p4^2*p1^
2+5184*(-56207086740+2301356460*n-37812075*n^2+323970*n^3-1155*n^4)*p4*p3^2+
1944*(9411962400-420572580*n+7126990*n^2-54860*n^3+130*n^4)*p4*p2^3+648/5*(-\
604800+7200*n)*p4*p1^6+432*(-13671432+289920*n-1824*n^2)*p3^2*p2^3+48148992*p3^
3*p1^3+243/5*(-176000+2880*n)*p2^5*p1^2+81/2*(7872-128*n)*p2^4*p1^4-6967296*p6*
p3^2*p1^2-5455392768*p7*p6*p1-6819240960*p7*p5*p2+275457024*p7*p5*p1^2-\
4445383680*p7*p4*p3-5598720*p7*p4*p1^3+286654464*p7*p3^2*p1+562111488*p7*p3*p2^
2-32472576*p7*p2^3*p1+1119744*p7*p2^2*p1^3-4429458432*p6*p5*p3-17067697920*p11*
p2*p1-8780099328*p10*p3*p1+747242496*p10*p2*p1^2-6569164800*p9*p4*p1-\
10062455040*p9*p3*p2+297665280*p9*p3*p1^2+923788800*p9*p2^2*p1-13685760*p9*p2*
p1^3-6420332160*p8*p5*p1-7274836800*p8*p4*p2+269438400*p8*p4*p1^2-2566080*p8*p3
*p1^3-46189440*p8*p2^2*p1^2+3888*(-40188557424+9048735368/3*n-285008716/3*n^2+
4974614/3*n^3-49004/3*n^4+218/3*n^5)*p2^3*p1^2+3888*(-17173230600+1034009210*n-\
24548015*n^2+325500*n^3-2545*n^4+10*n^5)*p4*p1^4+324*(-7378464+291632*n-4688*n^
2+32*n^3)*p2^3*p1^4+486*(128870272-17200720/3*n+97616*n^2-1952/3*n^3)*p2^4*p1^2
+7776*(-536471594736+58848727786*n-7890839768/3*n^2+403340011/6*n^3-6776519/6*n
^4+25749/2*n^5-187/2*n^6+1/3*n^7)*p2*p1^4+20736*(3842327397474-3851084261229/8*
n+749739391939/32*n^2-19881538257/32*n^3+1359207481/128*n^4-995539/8*n^5+62493/
64*n^6-143/32*n^7+1/128*n^8)*p3*p1^3+23328*(5009647949064-1931749729958/3*n+
99016771330/3*n^2-5639970665/6*n^3+102588667/6*n^4-1230427/6*n^5+3035/2*n^6-16/
3*n^7)*p2^2*p1^2+10368*(-2614097560230+430477324927/2*n-26866302593/4*n^2+
227119703/2*n^3-4641471/4*n^4+6717*n^5-16*n^6)*p3^2*p2+55800576*p5*p3*p1^4-\
1119744*p5*p2*p1^5-466560*p4*p3*p1^5-4727808*p3^2*p2*p1^4+93312*p3*p2^2*p1^5-\
124416*p3^2*p2^3*p1^2-23328*p3*p2^5*p1+2592*p3*p2^4*p1^3+1492992*p3^3*p2^2*p1-\
38880*p4*p2^4*p1^2+194400*p4^2*p3*p1^3+1166400*p4^2*p2^2*p1^2-7464960*p4*p3^3*
p1-25816320*p4*p3^2*p2^2+886464*p5*p2^4*p1-62208*p5*p2^3*p1^3-22550400*p5*p3*p2
^3+206452800*p5*p4^2*p1+1741824*p6*p2^3*p1^2+270418176*p5^2*p3*p1-23514624*p5^2
*p2*p1^2-3483648*p6*p5*p1^3+418037760*p6*p4*p2^2+387846144*p6*p3^2*p2+
24992686080*p7^2+93312*(-1525920523545600+662511032021580*n-206430852283225/2*n
^2+122617911819245/16*n^3-4890817697215/16*n^4+454316222955/64*n^5-19830349205/
192*n^6+31576075/32*n^7-583945/96*n^8+1355/64*n^9-5/192*n^10)*p4+46656*(
721875381239040-477505033012785/2*n+683633950855247/24*n^2-39711588733681/24*n^
3+5199056167897/96*n^4-8924892523/8*n^5+748390277/48*n^6-1195755/8*n^7+87521/96
*n^8-65/24*n^9)*p2^2+15552*(25254436490880-10701374107083/2*n+10440841674061/24
*n^2-447845611205/24*n^3+47662147243/96*n^4-145423603/16*n^5+5749447/48*n^6-\
13477/12*n^7+659/96*n^8-1/48*n^9)*p1^4-1519044710400*p14+186624*(-\
999651299472000+1854621764029129/2*n-290671004584782*n^2+12032171532938867/288*
n^3-100906272454627/32*n^4+52284130703123/384*n^5-4173024269849/1152*n^6+
36855754727/576*n^7-456094825/576*n^8+7922801/1152*n^9-44585/1152*n^10+31/288*n
^11)*p2+186624*(481404920976000-1905588722441407/6*n+1308210068752489/18*n^2-\
757330121889089/96*n^3+135101944391693/288*n^4-6487912636315/384*n^5+
463928051251/1152*n^6-61309678/9*n^7+16161625/192*n^8-857045/1152*n^9+4931/1152
*n^10-7/576*n^11)*p1^2+31104*(-15554775600+425672520*n-2413320*n^2)*p12+972*(-\
396900000+6423000*n-39000*n^2)*p4^3+5184*(3182185440-49269696*n+301056*n^2)*p6^
2+46656*(-39744673768800+5153901831870*n-232754850680*n^2+9587890895/2*n^3-\
101255165/2*n^4+542245/2*n^5-1155/2*n^6)*p8+11664*(13950935661600-1359381069400
*n+135415951750/3*n^2-2124569825/3*n^3+19687625/3*n^4-103975/3*n^5+75*n^6)*p4^2
+972*(434356017408-34630892696*n+3312767212/3*n^2-56785832/3*n^3+542228/3*n^4-\
2320/3*n^5)*p2^4+324/35*(3719520-60480*n)*p1^8+62208*(-444781030894200+
104116676718789*n-35133118217785/4*n^2+2110762659425/6*n^3-120673000553/16*n^4+
1127729029/12*n^5-5589395/8*n^6+34573/12*n^7-77/16*n^8)*p6+20736*(
185493084157080-66775188606153/2*n+17168447924777/8*n^2-265638396429/4*n^3+
37612893545/32*n^4-108598091/8*n^5+1655883/16*n^6-3751/8*n^7+29/32*n^8)*p3^2+
2592/5*(47515935600-4082486250*n+135362505*n^2-2337600*n^3+21915*n^4-90*n^5)*p1
^6+192*(65746080-1358208*n+10368*n^2)*p3^4+81/10*(2174400-34560*n)*p2^6+486/5*(
-1554032640+69286480*n-1150480*n^2+7360*n^3)*p2^5+186624/25*(362598424650-\
34338123225/2*n+1017747675/4*n^2-3947475/2*n^3+25725/4*n^4)*p5^2+7776*(-\
41295948261048+6127859611410*n-345480395523*n^2+30757085707/3*n^3-186296642*n^4
+6557551/3*n^5-15691*n^6+160/3*n^7)*p2^3+186624/5*(-1291416726600+87194101995*n
-3705166465/2*n^2+15800785*n^3-95095/2*n^4)*p10+58773496320*p9*p5+52163274240*
p8*p6-7846046208*p10*p2^2-5774146560*p12*p1^2+155901957120*p12*p2-1730937600*p6
*p4^2-6531840*p6*p2^4+151904471040*p13*p1+425088*p3^2*p2^4-8164800*p4^2*p2^3+
116640*p4*p2^5-3981312*p3^4*p2+84913920*p11*p1^3+64449665280*p10*p4+90008755200
*p11*p3+261740160*p8*p2^3-3218890752*p6^2*p2+97542144*p6^2*p1^2+215550720*p5^2*
p2^2+86593536*p5*p3^3-3007445760*p8*p3^2-2916000*p4^3*p1^2+97200000*p4^2*p3^2+
78732000*p4^3*p2-1841978880*p5^2*p4
[4, 3, 3, 3, 2, 2, 2, 2, 2]
525878987567844556800*n+1244160/7*(174689095980-8955493757*n+311316411/2*n^2-\
1166515*n^3+6069/2*n^4)*p7*p2*p1+34560*(3717998580-159238555*n+2625525*n^2-\
20870*n^3+60*n^4)*p4*p3*p1^3+38880*(4371567600-193534190*n+3199380*n^2-23400*n^
3+50*n^4)*p4*p2^2*p1^2+12960*(-458018520+58328960/3*n-318625*n^2+7090/3*n^3-5*n
^4)*p4*p2*p1^4+138240*(197125101348-28072246685/3*n+300500627/2*n^2-3416749/3*n
^3+6489/2*n^4)*p6*p3*p1+103680*(-26052485648+1250807866*n-21388990*n^2+162232*n
^3-420*n^4)*p6*p2*p1^2+124416*(209558550180-28533995290/3*n+569764135/4*n^2-\
6247585/6*n^3+11575/4*n^4)*p5*p4*p1+82944*(226357964658-9909167592*n+154778751*
n^2-1147071*n^3+3132*n^4)*p5*p3*p2+82944*(-28145673048+2529570561/2*n-82553661/
4*n^2+322335/2*n^3-1875/4*n^4)*p5*p3*p1^2+62208*(-31041965052+4226803792/3*n-\
92432557/4*n^2+1014499/6*n^3-1605/4*n^4)*p5*p2^2*p1+41472*(3614793840-326318249
/2*n+2748060*n^2-20960*n^3+105/2*n^4)*p5*p2*p1^3+3456*(54289158-4468689/2*n+
149049/4*n^2-597/2*n^3+3/4*n^4)*p3*p2*p1^5+34560*(4475852616-197061045*n+
3366063*n^2-27168*n^3+78*n^4)*p3^2*p2*p1^2+17280*(4973206938-1306638157/6*n+
14415043/4*n^2-156125/6*n^3+201/4*n^4)*p3*p2^3*p1+17280*(-590274792+26173972*n-\
896235/2*n^2+3425*n^3-15/2*n^4)*p3*p2^2*p1^3+207360*(8643870643500-760404371245
*n+578971419055/24*n^2-18312027395/48*n^3+168234035/48*n^4-844885/48*n^5+1655/
48*n^6)*p4*p3*p1+155520*(-1245264982248+309636805985/3*n-9832031990/3*n^2+
649823465/12*n^3-6079795/12*n^4+29195/12*n^5-15/4*n^6)*p4*p2*p1^2+103680*(
1745091480-35338050*n+189090*n^2)*p8*p3*p1+77760*(-230508432+5031180*n-25740*n^
2)*p8*p2*p1^2+622080/7*(1786479240-31496640*n+166320*n^2)*p7*p4*p1+414720/7*(
1932915432-37278738*n+194418*n^2)*p7*p3*p2+414720/7*(-234171504+4682034*n-26082
*n^2)*p7*p3*p1^2+311040/7*(-273079296+5603682*n-27426*n^2)*p7*p2^2*p1+51840*(
1936702040-33919200*n+174720*n^2)*p6*p4*p2+25920*(37506336-758352*n+3696*n^2)*
p6*p2^2*p1^2+8640*(-3348632+65520*n-336*n^2)*p6*p2*p1^4+41472*(1891094520-\
65838645/2*n+359805/2*n^2)*p5*p4*p3+27648*(-274492800+5264010*n-30330*n^2)*p5*
p3^2*p1+20736*(-299263656+11376615/2*n-58287/2*n^2)*p5*p3*p2^2+6912*(-3016080+
111915/2*n-675/2*n^2)*p5*p3*p1^4+10368*(-4774320+95010*n-450*n^2)*p5*p2^2*p1^3+
10368/5*(329730-5970*n+30*n^2)*p5*p2*p1^5+138240*(1665389550-37827405*n+189585*
n^2)*p9*p2*p1+414720*(129682849291732-120144839539691/6*n+4614340238089/4*n^2-\
270214219809/8*n^3+28113292531/48*n^4-51974403/8*n^5+270607/6*n^6-503/3*n^7+3/
16*n^8)*p3*p2*p1+103680*(-1467911317632+348323052359/3*n-85830049171/24*n^2+
935764717/16*n^3-26201815/48*n^4+124081/48*n^5-57/16*n^6)*p3*p2^2*p1+69120*(
185789709132-14365278157*n+3567450509/8*n^2-119973477/16*n^3+1162229/16*n^4-\
5795/16*n^5+9/16*n^6)*p3*p2*p1^3+248832*(7632112144242-4183585316507/6*n+
559558167179/24*n^2-6186633485/16*n^3+171170423/48*n^4-819329/48*n^5+465/16*n^6
)*p5*p2*p1+3240*(536560-10120*n+40*n^2)*p4*p2^2*p1^4+432*(-21720+240*n)*p4*p2*
p1^6+8640*(-6144648+128568*n-696*n^2)*p3^2*p2^2*p1^2+864*(-60096+1230*n-6*n^2)*
p3*p2^2*p1^5-183513600*p5*p3*p2^2*p1^2+15360*(-33159270240+1416711906*n-\
23474772*n^2+190260*n^3-594*n^4)*p3^3*p1+4665600*p5*p3*p2*p1^4+276480*(-\
866459147400+53015391055*n-4160800545/4*n^2+15987565/2*n^3-84645/4*n^4)*p9*p1+
155520*(-1106542409280+60672060504*n-1072751922*n^2+7914852*n^3-20394*n^4)*p8*
p2+1511136000*p4^2*p3*p2*p1+155520*(137902328256-7629799056*n+141624978*n^2-\
1100220*n^3+2970*n^4)*p8*p1^2+829440/7*(-1297708163136+65376611146*n-1034246724
*n^2+7600460*n^3-21042*n^4)*p7*p3-16781852160*p5*p4*p3*p2+1860019200*p5*p4*p3*
p1^2+414720/7*(-20439075384+1019745076*n-17817702*n^2+138908*n^3-378*n^4)*p7*p1
^3+103680*(-1430225750184+206076726590/3*n-986235810*n^2+20855800/3*n^3-19040*n
^4)*p6*p4+51840*(207892775272-9747923038*n+158680284*n^2-1145900*n^3+2814*n^4)*
p6*p2^2+1771372800*p5*p4*p2^2*p1-111974400*p5*p4*p2*p1^3+17280*(2757964440-\
368936162/3*n+2013088*n^2-46732/3*n^3+42*n^4)*p6*p1^4+1841356800*p5*p3^2*p2*p1+
2438553600*p6*p4*p2*p1^2+2244049920*p6*p3*p2^2*p1-150958080*p6*p3*p2*p1^3-\
29854863360*p6*p5*p2*p1-24482304000*p6*p4*p3*p1+2880*(785892-15882*n+66*n^2)*p3
*p2^3*p1^3+2160*(-6717536+128580*n-468*n^2)*p3*p2^4*p1+2880*(552132-11736*n+72*
n^2)*p3^2*p2*p1^4+25920*(-263290200+4830250*n-27050*n^2)*p4^2*p3*p1+20736*(
27066900-479625*n+2625*n^2)*p5*p4*p1^3+10368*(42664710-822816*n+3660*n^2)*p5*p2
^3*p1+23040*(28524720-556962*n+3234*n^2)*p6*p3*p1^3+82944*(1841939988-30796962*
n+164010*n^2)*p6*p5*p1+207360/7*(29342208-609966*n+3150*n^2)*p7*p2*p1^3+7680*(
44616960-920376*n+5400*n^2)*p3^3*p2*p1+51840*(-231614320+4130560*n-22400*n^2)*
p6*p4*p1^2+19440*(35445200-660200*n+3400*n^2)*p4^2*p2*p1^2+17280*(-297723780+
5692860*n-31500*n^2)*p4*p3^2*p2+17280*(36142680-716100*n+4260*n^2)*p4*p3^2*p1^2
+1728*(230820-3135*n+15*n^2)*p4*p3*p1^5+6480*(-5770840+110440*n-440*n^2)*p4*p2^
3*p1^2+77760*(9515714709008-2399268014920/3*n+148290914113/6*n^2-4691641825/12*
n^3+42081865/12*n^4-194215/12*n^5+95/4*n^6)*p4*p2^2+25920*(152594471520-\
11944385470*n+2199084415/6*n^2-71862305/12*n^3+677285/12*n^4-3295/12*n^5+5/12*n
^6)*p4*p1^4+69120*(10186500776436-832219330739*n+50022902545/2*n^2-1575254499/4
*n^3+14517619/4*n^4-72397/4*n^5+135/4*n^6)*p3^2*p2+69120*(-1325628404832+
107179987646*n-3325424140*n^2+218971351/4*n^3-2119437/4*n^4+11205/4*n^5-23/4*n^
6)*p3^2*p1^2+6912*(-21249216120+1522791115*n-356382025/8*n^2+11581061/16*n^3-\
111909/16*n^4+579/16*n^5-1/16*n^6)*p3*p1^5+25920*(209852923296-48429679457/3*n+
3007155571/6*n^2-24916958/3*n^3+454421/6*n^4-917/3*n^5)*p2^3*p1^2+12960*(-\
25474938336+5682894326/3*n-174659837/3*n^2+972262*n^3-27067/3*n^4+112/3*n^5)*p2
^2*p1^4+1728*(2684548272-181118097*n+10222587/2*n^2-80040*n^3+1437/2*n^4-3*n^5)
*p2*p1^6+497664*(-431593358242200+250553636816707/3*n-47329343414765/8*n^2+
9789560067049/48*n^3-46567836331/12*n^4+703374877/16*n^5-14432915/48*n^6+6749/6
*n^7-25/16*n^8)*p5*p1+311040*(-617066465983968+113400415846628*n-\
267699678921473/36*n^2+5571161798977/24*n^3-288923093077/72*n^4+344555209/8*n^5
-20679295/72*n^6+6245/6*n^7-5/4*n^8)*p4*p2+311040*(98861175488544-\
16093478298024*n+11846900573909/12*n^2-737188072885/24*n^3+1666127240/3*n^4-\
50152015/8*n^5+1047905/24*n^6-1975/12*n^7+5/24*n^8)*p4*p1^2+138240*(-\
19376389065552+2732803276969*n-1200312039429/8*n^2+34901192783/8*n^3-2474629881
/32*n^4+3545597/4*n^5-102121/16*n^6+199/8*n^7-1/32*n^8)*p3*p1^3+155520*(-\
22697842807840+3101090282800*n-1989784942159/12*n^2+37979976251/8*n^3-\
2003926363/24*n^4+22576997/24*n^5-51245/8*n^6+245/12*n^7)*p2^2*p1^2+51840*(
3230979558544-1229891010610/3*n+83917242929/4*n^2-4726736047/8*n^3+250035881/24
*n^4-950529/8*n^5+19729/24*n^6-8/3*n^7)*p2*p1^4+829440*(-1995072625986384+
2043629280309304/3*n-760643960963288/9*n^2+1470483963862879/288*n^3-\
49321519125805/288*n^4+4029753674189/1152*n^5-53933082505/1152*n^6+243656749/
576*n^7-475615/192*n^8+9181/1152*n^9-1/128*n^10)*p3*p1+622080*(561290196342400-\
767245764655706/5*n+62993859468515/4*n^2-9872786727389/12*n^3+403903621727/16*n
^4-9996807951/20*n^5+54000753/8*n^6-372563/6*n^7+5747/16*n^8-n^9)*p2*p1^2+
207360*(5761438322640-1698193477778/3*n+61359493223/3*n^2-2168855941/6*n^3+
20758073/6*n^4-102235/6*n^5+63/2*n^6)*p6*p1^2+165888*(-51164511219360+
10158638857805/2*n-1362954522725/8*n^2+42118094171/16*n^3-372750879/16*n^4+
1814469/16*n^5-3551/16*n^6)*p5*p3+82944*(-985412476908+85979340440*n-\
22769134411/8*n^2+770666573/16*n^3-7351385/16*n^4+36515/16*n^5-65/16*n^6)*p5*p1
^3+207360*(-42878539410168+13242313103278/3*n-158014973445*n^2+15906548161/6*n^
3-48164795/2*n^4+226709/2*n^5-399/2*n^6)*p6*p2+216/7*(231840-4032*n)*p2*p1^8+
2488320/7*(-30804828560352+3454163008660*n-551445595771/4*n^2+20539600935/8*n^3
-196871703/8*n^4+952945/8*n^5-1771/8*n^6)*p7*p1+3240*(-686549312+30169816*n-\
487144*n^2+2992*n^3)*p2^4*p1^2+2160*(75613728-9883508/3*n+53836*n^2-1024/3*n^3)
*p2^3*p1^4+432*(-6165792+242004*n-3708*n^2+24*n^3)*p2^2*p1^6+1152/7*(-2514708+
51093*n-189*n^2)*p3*p1^7+17280*(-35249131692+1501870055*n-24475506*n^2+185686*n
^3-483*n^4)*p3^2*p2^2+3254722560*p7*p3*p2*p1^2+5760*(-460982772+19390383*n-\
331704*n^2+2826*n^3-9*n^4)*p3^2*p1^4-32099328000*p7*p4*p2*p1+20736/5*(-\
327143820+12774135*n-770715/4*n^2+2895/2*n^3-15/4*n^4)*p5*p1^5-42904857600*p8*
p3*p2*p1+8812800*p4*p3*p2^2*p1^3+38880*(232166441360-29487561400/3*n+148250050*
n^2-3221300/3*n^3+2850*n^4)*p4^2*p2+38880*(-28726496000+1245782900*n-19408300*n
^2+145800*n^3-400*n^4)*p4^2*p1^2+34560*(237111435540-9774510845*n+151356450*n^2
-1153210*n^3+3405*n^4)*p4*p3^2-51840*p4*p3*p2*p1^5+12960*(-34383609672+
4430877200/3*n-23455515*n^2+493630/3*n^3-335*n^4)*p4*p2^3-153446400*p4*p3^2*p2*
p1^2-82857600*p4*p3*p2^3*p1+864*(31858080-993030*n+11490*n^2-60*n^3)*p4*p1^6-\
9754214400*p6^2*p1^2+84861665280*p6^2*p2-1564610826240*p8*p6+2880*(47399916-\
934368*n+4560*n^2)*p3^2*p2^3+124416/5*(1958112660-33421815*n+172935*n^2)*p5^2*
p2+124416/5*(-234938760+4117575*n-22575*n^2)*p5^2*p1^2+9720*(-289928800+5282200
*n-26200*n^2)*p4^2*p2^2+3240*(-2644800+41800*n-200*n^2)*p4^2*p1^4+38880*(
1870859232-38936700*n+188892*n^2)*p8*p2^2+497664/7*(-13409716320+212970681*n-\
1096641*n^2)*p7*p5+20736/7*(-1738800+25326*n-126*n^2)*p7*p1^5+23040*(1936635960
-35745864*n+197736*n^2)*p6*p3^2+8640*(-295869672+5693184*n-26208*n^2)*p6*p2^3+
576*(105168-672*n)*p6*p1^6+2488320/11*(-9725780064+253128876*n-1261260*n^2)*p11
*p1+124416*(-11284753480+264594330*n-1291290*n^2)*p10*p2+124416*(1362561200-\
32922890*n+170170*n^2)*p10*p1^2+92160*(-12101055120+492930405/2*n-2535885/2*n^2
)*p9*p3+46080*(-174241980+3802095*n-20295*n^2)*p9*p1^3+77760*(-12757261440+
221005620*n-1130580*n^2)*p8*p4+2560*(-4666248+99144*n-648*n^2)*p3^3*p1^3+1620*(
44759840-822000*n+3120*n^2)*p4*p2^4+12960*(19430400-366300*n+1980*n^2)*p8*p1^4-\
2073600*p3^2*p1^6+324*(867360-14400*n)*p2^5*p1^2+270*(-89408+1536*n)*p2^4*p1^4+
72*(5520-96*n)*p2^3*p1^6-36288000*p4^2*p3*p1^3-69984000*p4^2*p2^2*p1^2+1296000*
p4^2*p2*p1^4+514252800*p4*p3^3*p1+621043200*p4*p3^2*p2^2+1036800*p4*p3^2*p1^4+
1555200*p4*p2^4*p1^2-86400*p4*p2^3*p1^4-46448640*p3^3*p2^2*p1+3317760*p3^3*p2*
p1^3+4423680*p3^2*p2^3*p1^2-11705057280*p5^2*p3*p1+1201858560*p5^2*p2*p1^2-\
9626688000*p5*p4^2*p1+311040*p5*p4*p1^5-54743040*p5*p3^2*p1^3+464050944*p5*p3*
p2^3-21461760*p5*p2^4*p1+3317760*p5*p2^3*p1^3-62208*p5*p2^2*p1^5-10276761600*p6
*p4*p2^2-19353600*p6*p4*p1^4-10334822400*p6*p3^2*p2+1223147520*p6*p3^2*p1^2+
193536*p6*p3*p1^5-69672960*p6*p2^3*p1^2+2903040*p6*p2^2*p1^4+134415396864*p6*p5
*p3+882524160*p6*p5*p1^3-97044480*p7*p2^2*p1^3+746496*p7*p2*p1^5+624966451200*
p11*p2*p1-207360*p3^2*p2^2*p1^4+466560*p3*p2^5*p1-103680*p3*p2^4*p1^3+3456*p3*
p2^3*p1^5+310210560000*p9*p4*p1+264272025600*p9*p3*p2-30564864000*p9*p3*p1^2-\
29082240000*p9*p2^2*p1+1916006400*p9*p2*p1^3+272209766400*p8*p5*p1+197382873600
*p8*p4*p2+62208*p3*p2*p1^7-21555072000*p8*p4*p1^2+1231718400*p8*p3*p1^3+
2155507200*p8*p2^2*p1^2-51321600*p8*p2*p1^4+256396492800*p7*p6*p1+175907303424*
p7*p5*p2-19976232960*p7*p5*p1^2+147034828800*p7*p4*p3-15925248000*p7*p3^2*p1-\
13145794560*p7*p3*p2^2+909480960*p7*p2^3*p1-27371520*p7*p3*p1^4+846028800*p7*p4
*p1^3+431740108800*p10*p3*p1-44834549760*p10*p2*p1^2-124484587191917708544*n^4+
517340466064850641920*n^3-932875680971918868480*n^2+103680*(-32465892870+
8444822215/6*n-91072525/4*n^2+1042895/6*n^3-1895/4*n^4)*p4*p3*p2*p1+62208*(-\
271374670+4929515*n-25775*n^2)*p5*p4*p2*p1+25920*(42866260-839125*n+4285*n^2)*
p4*p3*p2^2*p1+41472*(37361136-1485975/2*n+8175/2*n^2)*p5*p3*p2*p1^2+69120*(-\
277639208+5434758*n-29190*n^2)*p6*p3*p2*p1+17280*(-4575480+90975*n-495*n^2)*p4*
p3*p2*p1^3-1707544903680*p9*p5-373248*p5*p1^7+44558644838400*p14+15340492785024
*n^9-172123706304*n^10-6891840*n^12+1354599936*n^11-760709283840*p7^2+248832*(
5144482783440-1048012455490/3*n+7186629450*n^2-163042880/3*n^3+140140*n^4)*p10+
248832/5*(-1479496982040+70238936845*n-980179620*n^2+6838370*n^3-18795*n^4)*p5^
2+207360*(65181916800-1786265208*n+8576568*n^2)*p12+311040*(150570227808000-\
19697220804536*n+883423383876*n^2-17424418792*n^3+166864368*n^4-789888*n^5+1452
*n^6)*p8+77760*(-54111379241920+15965116328780/3*n-174587478265*n^2+15570715525
/6*n^3-134029625/6*n^4+641275/6*n^5-1225/6*n^6)*p4^2+51840*(153195025884336-\
112913330209954/5*n+44562350727185/36*n^2-278718350191/8*n^3+42554013007/72*n^4
-768808459/120*n^5+3032527/72*n^6-781/6*n^7)*p2^3+3456*(-433929750720+
50456369924*n-9597295485/4*n^2+508742859/8*n^3-8525429/8*n^4+93171/8*n^5-625/8*
n^6+1/4*n^7)*p1^6+311040*(-2539277845896512+12731510743052828/15*n-\
609735484307117/6*n^2+1050805797685381/180*n^3-6640607687327/36*n^4+
643450730809/180*n^5-1670208017/36*n^6+18430291/45*n^7-41113/18*n^8+37/6*n^9)*
p2^2+1280*(-305208000+6049728*n-36288*n^2)*p3^4+54*(-6523200+103680*n)*p2^6+
138240*(-684073361152104+124505567553807*n-32026264504971/4*n^2+1937294663173/8
*n^3-32363149351/8*n^4+344549867/8*n^5-2358045/8*n^6+1152*n^7-7/4*n^8)*p3^2+
622080*(5283418039099200-6954304695176020/3*n+6552653036460499/18*n^2-\
648961468281529/24*n^3+76443140267189/72*n^4-6801732109939/288*n^5+91979670743/
288*n^6-403164683/144*n^7+2262155/144*n^8-14155/288*n^9+5/96*n^10)*p4+103680*(-\
109583994101568+76933195909648/3*n-21082403298272/9*n^2+4082687581517/36*n^3-\
241229245849/72*n^4+592398925/9*n^5-8071550/9*n^6+150773/18*n^7-1181/24*n^8+5/
36*n^9)*p1^4+96074035200*p8*p3^2-4561920*p9*p1^5-5614583040*p8*p2^3-\
1010410662054229056*n^6+15112637903757966336*n^5-957556452067776*n^8+
39529676172904704*n^7+17280*n^13+414720*(1606781506009680-1900367578568998/5*n+
289550583136262/9*n^2-1271467034516*n^3+468986386183/18*n^4-4475992451/15*n^5+
18014066/9*n^6-22001/3*n^7+21/2*n^8)*p6+6480*(1819608000-30741000*n+165000*n^2)
*p4^3+432/7*(-207173568+10043880*n-167832*n^2+1008*n^3)*p1^8+648*(5247043360-\
223678440*n+3486120*n^2-20640*n^3)*p2^5+1244160*(-1642022736076800+
16605183154058224/15*n-46903607548598153/180*n^2+21086331751289621/720*n^3-\
260723365040971/144*n^4+194447587253537/2880*n^5-523718747283/320*n^6+
1232678269/45*n^7-94079383/288*n^8+1572601/576*n^9-8423/576*n^10+11/288*n^11)*
p1^2+1244160*(3343366030435200-46920295286795144/15*n+178088958544333397/180*n^
2-11446114438695861/80*n^3+2587074049083523/240*n^4-146362396077841/320*n^5+
33611337821753/2880*n^6-30867788803/160*n^7+1060518659/480*n^8-5644577/320*n^9+
52237/576*n^10-11/48*n^11)*p2+6480*(-1595229920832+366787062676/3*n-3686965382*
n^2+176709308/3*n^3-518354*n^4+2024*n^5)*p2^4-6751309824000*p13*p1-\
4018806005760*p12*p2+461931724800*p12*p1^2-2764344360960*p11*p3-18114969600*p11
*p1^3-2005100697600*p10*p4+183074411520*p10*p2^2+415134720*p10*p1^4-2371680000*
p4^3*p2+233280000*p4^3*p1^2-3556224000*p4^2*p3^2+193104000*p4^2*p2^3-2332800*p4
*p2^5+106168320*p3^4*p2-13271040*p3^4*p1^2-7672320*p3^2*p2^4+130636800*p6*p2^4+
54632309760*p5^2*p4-4904105472*p5^2*p2^2-13063680*p5^2*p1^4-2767011840*p5*p3^3+
57625344000*p6*p4^2+34560*(-13649704992+210565152*n-1086624*n^2)*p6^2
[4, 3, 3, 2, 2, 2, 2, 2, 2, 2]
-11982899841184306298880*n+774144*(-9353299111+5426433443/12*n-61142245/8*n^2+
657787/12*n^3-975/8*n^4)*p5*p2*p1^3+3317760*(-306824528718+32253112119/2*n-\
1105832817/4*n^2+3907761/2*n^3-18543/4*n^4)*p7*p2*p1+2580480*(-350716120566+
34305224667/2*n-1079198169/4*n^2+3830841/2*n^3-19551/4*n^4)*p6*p3*p1+1935360*(
54672608592-2749154240*n+46712085*n^2-333382*n^3+777*n^4)*p6*p2*p1^2+2322432*(-\
375317462625+70706973695/4*n-2089658615/8*n^2+7262655/4*n^3-37045/8*n^4)*p5*p4*
p1+1548288*(-347174543044+181754417573/12*n-1836043147/8*n^2+19155859/12*n^3-\
31221/8*n^4)*p5*p3*p2+1548288*(60480194410-11478785937/4*n+369713609/8*n^2-\
1346159/4*n^3+6903/8*n^4)*p5*p3*p1^2+1161216*(55358123403-10133913283/4*n+
324481987/8*n^2-1119327/4*n^3+4785/8*n^4)*p5*p2^2*p1+725760*(-9313819116+
1265874745/3*n-13725515/2*n^2+142685/3*n^3-185/2*n^4)*p4*p2^2*p1^2+241920*(
1523886420-71564005*n+2420345/2*n^2-8665*n^3+35/2*n^4)*p4*p2*p1^4+645120*(-\
9644310128+432334300*n-14275669/2*n^2+52527*n^3-249/2*n^4)*p3^2*p2*p1^2+322560*
(-8824250727+1538932209/4*n-49141623/8*n^2+164067/4*n^3-513/8*n^4)*p3*p2^3*p1+
645120*(-10005432915+5592616645/12*n-61839225/8*n^2+692315/12*n^3-1175/8*n^4)*
p4*p3*p1^3+387072*(467795461-17408259/2*n+79323/2*n^2)*p5*p3*p2^2+129024*(
14835873-618675/2*n+3075/2*n^2)*p5*p3*p1^4+193536*(13860559-279549*n+1155*n^2)*
p5*p2^2*p1^3+7741440*(-190488335409357+456541622207947/15*n-86645048469169/48*n
^2+1284164177891/24*n^3-58595641949/64*n^4+1180305119/120*n^5-6234079/96*n^6+
2677/12*n^7-13/64*n^8)*p3*p2*p1+2903040*(2286994169780-601818312758/3*n+
39482329529/6*n^2-1296194705/12*n^3+11716955/12*n^4-53135/12*n^5+25/4*n^6)*p4*
p2*p1^2+1935360*(2430394430679-786101524411/4*n+72539067805/12*n^2-4623052901/
48*n^3+41100683/48*n^4-179455/48*n^5+67/16*n^6)*p3*p2^2*p1+1290240*(-\
398992491831+132779856891/4*n-12877364137/12*n^2+862097293/48*n^3-7997543/48*n^
4+36455/48*n^5-15/16*n^6)*p3*p2*p1^3+4644864*(-12247323716904+1158856227751*n-\
946049349631/24*n^2+30903689761/48*n^3-273857377/48*n^4+1232831/48*n^5-635/16*n
^6)*p5*p2*p1+193536*(-78357969+1494990*n-5940*n^2)*p5*p2^3*p1+1536*(-35460+747*
n-3*n^2)*p3*p2*p1^7+3870720*(-13934622109119+5097874759887/4*n-494892586681/12*
n^2+30725505785/48*n^3-270371495/48*n^4+1265755/48*n^5-735/16*n^6)*p4*p3*p1+
53760*(-2125128+41895*n-135*n^2)*p3*p2^3*p1^3+322560*(1514950861-830537809/12*n
+9249985/8*n^2-96911/12*n^3+111/8*n^4)*p3*p2^2*p1^3+64512*(-237251279+44251781/
4*n-1524307/8*n^2+5543/4*n^3-21/8*n^4)*p3*p2*p1^5+7855045632*p5*p3*p2^2*p1^2-\
440294400*p5*p3*p2*p1^4-65669087232*p5*p3^2*p2*p1-65240017920*p5*p4*p2^2*p1+
7886592000*p5*p4*p2*p1^3+511769180160*p5*p4*p3*p2-104550082560*p5*p4*p3*p1^2-\
77627289600*p6*p3*p2^2*p1+9736151040*p6*p3*p2*p1^3+1123880583168*p6*p5*p2*p1+
986801356800*p6*p4*p3*p1-123553382400*p6*p4*p2*p1^2-154255933440*p7*p3*p2*p1^2+
1245752524800*p7*p4*p2*p1+1576106864640*p8*p3*p2*p1+16128*(323236-6712*n+24*n^2
)*p3*p2^2*p1^5+40320*(11901744-220968*n+648*n^2)*p3*p2^4*p1+143360*(-83732724+
1665252*n-8244*n^2)*p3^3*p2*p1+120960*(12978840-249660*n+900*n^2)*p4*p2^3*p1^2+
161280*(13815250-279436*n+1236*n^2)*p3^2*p2^2*p1^2+387072*(-95257175+1834660*n-\
8950*n^2)*p5*p4*p1^3+483840*(-85988364+1742664*n-7560*n^2)*p6*p2^2*p1^2+193536/
5*(-2045765+42350*n-180*n^2)*p5*p2*p1^5+483840*(531924900-9835150*n+49550*n^2)*
p4^2*p3*p1+362880*(-88304800+1696400*n-8000*n^2)*p4^2*p2*p1^2+322560*(472000730
-8820260*n+43100*n^2)*p4*p3^2*p2+322560*(-91421230+1819960*n-9360*n^2)*p4*p3^2*
p1^2+32256*(-2173090+45745*n-225*n^2)*p4*p3*p1^5+60480*(-2129040+42800*n-160*n^
2)*p4*p2^2*p1^4+8064*(270920-5420*n+20*n^2)*p4*p2*p1^6+53760*(-2331414+50040*n-\
240*n^2)*p3^2*p2*p1^4+2580480*(-3158214345+72181395*n-328185*n^2)*p9*p2*p1+
1935360*(-3394231236+69028542*n-330462*n^2)*p8*p3*p1+1451520*(545237880-\
12181884*n+55836*n^2)*p8*p2*p1^2+1658880*(-3550138020+63946560*n-306600*n^2)*p7
*p4*p1+1105920*(-3046236912+57827922*n-272058*n^2)*p7*p3*p2+1105920*(580807560-\
11898390*n+58086*n^2)*p7*p3*p1^2+829440*(510535656-10412466*n+46074*n^2)*p7*p2^
2*p1+552960*(-90137376+1964508*n-8988*n^2)*p7*p2*p1^3+1548288*(-3656053086+
61823286*n-296898*n^2)*p6*p5*p1+967680*(-3097365180+54188400*n-255360*n^2)*p6*
p4*p2+967680*(594124020-11059440*n+53760*n^2)*p6*p4*p1^2+430080*(-95281452+
1968288*n-9744*n^2)*p6*p3*p1^3+161280*(14085876-299376*n+1344*n^2)*p6*p2*p1^4+
774144*(-3067935815+106264265/2*n-526025/2*n^2)*p5*p4*p3+516096*(538051188-\
10184106*n+51426*n^2)*p5*p3^2*p1+14999040*p4*p3*p2*p1^5+2779660800*p4*p3*p2^3*
p1-526579200*p4*p3*p2^2*p1^3+7296307200*p4*p3^2*p2*p1^2-59004288000*p4^2*p3*p2*
p1+3072*(32093565-5783247/4*n+196029/8*n^2-729/4*n^3+3/8*n^4)*p3*p1^7+60480*(
1413397488-62463816*n+985896*n^2-5760*n^3)*p2^4*p1^2+40320*(-231746112+10552668
*n-171780*n^2+1032*n^3)*p2^3*p1^4+8064*(33796288-4610116/3*n+25244*n^2-464/3*n^
3)*p2^2*p1^6+576*(-3968336+167064*n-2600*n^2+16*n^3)*p2*p1^8+645120*(-\
366243608388+45209971750/3*n-451770675/2*n^2+4825835/3*n^3-8435/2*n^4)*p4*p3^2+
241920*(52738793124-2250515805*n+69550365/2*n^2-231405*n^3+855/2*n^4)*p4*p2^3+
16128*(-223995900+31206265/3*n-350535/2*n^2+3785/3*n^3-5/2*n^4)*p4*p1^6+286720*
(60361488540-2593444671*n+82629855/2*n^2-306711*n^3+1629/2*n^4)*p3^3*p1+322560*
(54071550556-6830304568/3*n+71260171/2*n^2-748115/3*n^3+1095/2*n^4)*p3^2*p2^2+
387072/5*(1458908575-286484135/4*n+9926495/8*n^2-36435/4*n^3+165/8*n^4)*p5*p1^5
+725760*(-357877741480+15187516650*n-224178525*n^2+1545650*n^3-3775*n^4)*p4^2*
p2+725760*(62426837880-8668662650/3*n+45045275*n^2-971650/3*n^3+825*n^4)*p4^2*
p1^2+322560*(-8855318472+462513744*n-8279943*n^2+61194*n^3-147*n^4)*p6*p1^4+
967680*(-317030517720+14805164752*n-234622731*n^2+1602482*n^3-3591*n^4)*p6*p2^2
+2903040*(-278621358312+16591446036*n-319118646*n^2+2338512*n^3-5742*n^4)*p8*p1
^2+2211840*(1965652507896-99589437313*n+3072760287/2*n^2-10627577*n^3+53493/2*n
^4)*p7*p3+1105920*(50783021178-5659570709/2*n+210015183/4*n^2-774823/2*n^3+3801
/4*n^4)*p7*p1^3+1935360*(2172409728720-105387206050*n+1485631770*n^2-9975560*n^
3+25200*n^4)*p6*p4+5160960*(1476852403455-376806618045/4*n+14978073825/8*n^2-\
54279225/4*n^3+263835/8*n^4)*p9*p1+2903040*(1668399100104-91806427988*n+
1589643198*n^2-11089144*n^3+26334*n^4)*p8*p2+860160*(553519395-13770900*n+64350
*n^2)*p9*p1^3+1451520*(20462757480-357303540*n+1679700*n^2)*p8*p4+725760*(-\
2921701992+60021324*n-266508*n^2)*p8*p2^2+241920*(-89387496+2100780*n-9900*n^2)
*p8*p1^4+1327104*(21478798110-342404301*n+1614621*n^2)*p7*p5+46448640/11*(
18430402848-497353428*n+2246244*n^2)*p11*p1+2322432*(17695575040-411918650*n+
1846130*n^2)*p10*p2+6635520*(47540447676414-11086668707607/2*n+228414011113*n^2
-34233273685/8*n^3+315852055/8*n^4-1438439/8*n^5+2457/8*n^6)*p7*p1+3870720*(
61650780452316-6414591136723*n+458592555491/2*n^2-7520857715/2*n^3+32754330*n^4
-290675/2*n^5+469/2*n^6)*p6*p2+3870720*(-10026015756372+1051619054311*n-\
80342056711/2*n^2+1451580389/2*n^3-6731914*n^4+62321/2*n^5-105/2*n^6)*p6*p1^2+
3096576*(73652471616075-29599923335729/4*n+2976528257561/12*n^2-179283764975/48
*n^3+1517887765/48*n^4-6908605/48*n^5+4053/16*n^6)*p5*p3+1548288*(1990574880522
-381258994559/2*n+163878271693/24*n^2-5750088089/48*n^3+53638177/48*n^4-250831/
48*n^5+135/16*n^6)*p5*p1^3+1451520*(-13961631697508+1180419851081*n-36173267997
*n^2+6694908275/12*n^3-57683485/12*n^4+251305/12*n^5-335/12*n^6)*p4*p2^2+483840
*(-369925971924+32783250315*n-3348472930/3*n^2+230840975/12*n^3-2169905/12*n^4+
10165/12*n^5-5/4*n^6)*p4*p1^4+1290240*(-14964686510250+2459250201865/2*n-\
438588650863/12*n^2+6692622253/12*n^3-29267899/6*n^4+268265/12*n^5-141/4*n^6)*
p3^2*p2+1290240*(2450354225454-420468682467/2*n+26925896303/4*n^2-436302867/4*n
^3+1003103*n^4-19315/4*n^5+33/4*n^6)*p3^2*p1^2+129024*(63867683295-21353028219/
4*n+706190787/4*n^2-48751375/16*n^3+466345/16*n^4-2205/16*n^5+3/16*n^6)*p3*p1^5
+483840*(-396099072360+31501667915*n-1969817739/2*n^2+32058149/2*n^3-281589/2*n
^4+1077/2*n^5)*p2^3*p1^2+241920*(64558987872-5220336884*n+505194520/3*n^2-\
8501879/3*n^3+76856/3*n^4-301/3*n^5)*p2^2*p1^4+32256*(-10124892984+813386941*n-\
158166719/6*n^2+2687057/6*n^3-24529/6*n^4+97/6*n^5)*p2*p1^6+9289728*(
611997404899485-733483441685429/6*n+143155282956677/16*n^2-15191774962115/48*n^
3+1161997364443/192*n^4-3207467185/48*n^5+41999977/96*n^6-18503/12*n^7+125/64*n
^8)*p5*p1+5806080*(845023037230988-472345113106589/3*n+31227135758006/3*n^2-\
7771482131219/24*n^3+263234914583/48*n^4-455659027/8*n^5+726935/2*n^6-2485/2*n^
7+65/48*n^8)*p4*p2+5806080*(-151675751489852+78134119606985/3*n-30373222133447/
18*n^2+1317008229527/24*n^3-145451490307/144*n^4+89795157/8*n^5-1355615/18*n^6+
1075/4*n^7-5/16*n^8)*p4*p1^2+2580480*(32974503255741-10024014286445/2*n+
14213615024867/48*n^2-218676253115/24*n^3+31756568033/192*n^4-22481983/12*n^5+
1241413/96*n^6-1115/24*n^7+3/64*n^8)*p3*p1^3+2903040*(36565715986064-\
26299904667217/5*n+10566878062831/36*n^2-68718951145/8*n^3+10832154575/72*n^4-\
198741427/120*n^5+781811/72*n^6-395/12*n^7)*p2^2*p1^2+967680*(-6222977457024+
2598564038441/3*n-579758331089/12*n^2+34811154479/24*n^3-633408287/24*n^4+
7235281/24*n^5-16309/8*n^6+19/3*n^7)*p2*p1^4+15482880*(2647527434998038-\
55517053129967801/60*n+9428366874892591/80*n^2-1170082599656957/160*n^3+
48089436841201/192*n^4-9867594893903/1920*n^5+129689261371/1920*n^6-566340443/
960*n^7+315653/96*n^8-3763/384*n^9+1/128*n^10)*p3*p1+11612160*(-780230323129728
+665242938913022/3*n-2139722891014751/90*n^2+116744847128869/90*n^3-\
246973551401/6*n^4+119022051937/144*n^5-664778171/60*n^6+35855989/360*n^7-20023
/36*n^8+71/48*n^9)*p2*p1^2+107520*(1591590612-74414676*n+2572479/2*n^2-9933*n^3
+51/2*n^4)*p3^2*p1^4+181440*(463274800-8411000*n+38200*n^2)*p4^2*p2^2+55296*(
13399680-294546*n+1386*n^2)*p7*p1^5+430080*(-3085415676+55912920*n-276360*n^2)*
p6*p3^2+161280*(458183124-8687952*n+36288*n^2)*p6*p2^3+10752*(-1797516+36456*n-\
168*n^2)*p6*p1^6+2322432/5*(-3125058580+53132175*n-250635*n^2)*p5^2*p2+2322432/
5*(600869920-10825045*n+52605*n^2)*p5^2*p1^2+2322432*(-3253495960+84794710*n-\
390390*n^2)*p10*p1^2+1720320*(19177130115-774278505/2*n+3622905/2*n^2)*p9*p3+
288*(-14800+160*n)*p4*p1^8+53760*(-72166998+1368216*n-5616*n^2)*p3^2*p2^3+6048*
(-1810080+30240*n)*p2^5*p1^2+5040*(296064-5184*n)*p2^4*p1^4+1344*(-39504+720*n)
*p2^3*p1^6+144*(3424-64*n)*p2^2*p1^8+60480*(14562000-290200*n+1400*n^2)*p4^2*p1
^4+30240*(-69138000+1257120*n-4320*n^2)*p4*p2^4+9216/5*(200235-3585*n+15*n^2)*
p5*p1^7+5269017600*p8*p2*p1^4-10206809948160*p7*p6*p1-5368006950912*p7*p5*p2+
1082466975744*p7*p5*p1^2-4612714905600*p7*p4*p3-23281358929920*p11*p2*p1-\
16738231910400*p10*p3*p1+2162021621760*p10*p2*p1^2-12786149376000*p9*p4*p1-\
7843278643200*p9*p3*p2+1610722713600*p9*p3*p1^2+3584*(311058-6876*n+36*n^2)*p3^
2*p1^6+143360/3*(15369804-326160*n+1728*n^2)*p3^3*p1^3+4296499200*p7*p3*p1^4-\
31248322560*p7*p2^3*p1+5771243520*p7*p2^2*p1^3-160247808*p7*p2*p1^5-\
4173611581440*p6*p5*p3-68171120640*p6*p5*p1^3+1037836800000*p9*p2^2*p1-\
127307980800*p9*p2*p1^3-10960323010560*p8*p5*p1-6114934425600*p8*p4*p2+
1238698137600*p8*p4*p1^2-98993664000*p8*p3*p1^3-96854123520*p8*p2^2*p1^2-\
13063680*p3*p2^5*p1+3685248000*p4^2*p3*p1^3+3447360000*p4^2*p2^2*p1^2-181440000
*p4^2*p2*p1^4+7547904*p5*p2^2*p1^5-55296*p5*p2*p1^7-12852919296*p5*p3*p2^3+
2903040*p5*p3*p1^6+705438720*p5*p2^4*p1-174182400*p5*p2^3*p1^3-95800320*p5*p4*
p1^5+4195860480*p5*p3^2*p1^3+464300605440*p5^2*p3*p1-57891262464*p5^2*p2*p1^2+
420040857600*p5*p4^2*p1+308883456000*p6*p4*p2^2+3251404800*p6*p4*p1^4+
299924029440*p6*p3^2*p2-62210211840*p6*p3^2*p1^2-135475200*p6*p3*p1^5+
2926264320*p6*p2^3*p1^2-243855360*p6*p2^2*p1^4+3612672*p6*p2*p1^6-76175769600*
p7*p4*p1^3+604203909120*p7*p3^2*p1+378002350080*p7*p3*p2^2+4608*p3*p2^2*p1^7+
4354560*p3*p2^4*p1^3-290304*p3*p2^3*p1^5-19379404800*p4*p3^3*p1-17550489600*p4*
p3^2*p2^2-209664000*p4*p3^2*p1^4-23040*p4*p3*p1^7-65318400*p4*p2^4*p1^2+7257600
*p4*p2^3*p1^4-161280*p4*p2^2*p1^6+1476034560*p3^3*p2^2*p1-196116480*p3^3*p2*p1^
3-162570240*p3^2*p2^3*p1^2+14837760*p3^2*p2^2*p1^4-258048*p3^2*p2*p1^6+1935360*
(58719995877-10290454365/4*n+324075095/8*n^2-1157615/4*n^3+5585/8*n^4)*p4*p3*p2
*p1+483840*(-80728110+1556945*n-6985*n^2)*p4*p3*p2^2*p1+774144*(-89268185+
3540949/2*n-16881/2*n^2)*p5*p3*p2*p1^2+1161216*(530521245-9704245*n+45995*n^2)*
p5*p4*p2*p1+1290240*(530216652-10268118*n+48846*n^2)*p6*p3*p2*p1+322560*(
14517350-296420*n+1400*n^2)*p4*p3*p2*p1^3+2888887422971674736640*n^4-\
11912088509919802220544*n^3+21336468627324320022528*n^2-1366465108377600*p14+
135959040*n^12-28048398336*n^11-322560*n^13+23769865912320*p7^2+4644864*(-\
7617282953280+1568195322265/3*n-21328254805/2*n^2+228501845/3*n^3-363935/2*n^4)
*p10+4644864/5*(2246872731180-646252312685/6*n+5892494445/4*n^2-58705105/6*n^3+
99015/4*n^4)*p5^2+12096*(-7963127280+335896560*n-5091120*n^2+28800*n^3)*p2^5+
1451520*(77930730693640-7764470109520*n+255141107975*n^2-22269344075/6*n^3+
184873675/6*n^4-837325/6*n^5+1475/6*n^6)*p4^2+71680/3*(480204720-9169632*n+
47520*n^2)*p3^4+1008*(9784800-155520*n)*p2^6+120960*(2367205348704-181146021522
*n+5386464015*n^2-83723010*n^3+708201*n^4-2628*n^5)*p2^4+967680*(-\
214347990765744+159807188052603/5*n-7026500991787/4*n^2+391479548981/8*n^3-\
6491761809/8*n^4+340491971/40*n^5-429145/8*n^6+315/2*n^7)*p2^3+120960*(-\
3019548000+51495000*n-255000*n^2)*p4^3+64512*(1048968163200-141115379209*n+
93301995029/12*n^2-5633921915/24*n^3+104133361/24*n^4-1209875/24*n^5+8293/24*n^
6-13/12*n^7)*p1^6+1935360*(166902621764112-626833696017854/15*n+49416177278705/
12*n^2-2585266249255/12*n^3+327179810281/48*n^4-5623611451/40*n^5+47131019/24*n
^6-220943/12*n^7+5117/48*n^8-7/24*n^9)*p1^4+645120*(21853483344-337827168*n+
1594656*n^2)*p6^2+5806080*(-211850774094960+28066863245058*n-1265183599427*n^2+
24628577600*n^3-225785065*n^4+1007710*n^5-1716*n^6)*p8+64/5*(231120-4320*n)*p1^
10+3870720*(-101730348720+2805906168*n-12395448*n^2)*p12+1152*(1491067872-\
115260822*n+3600577*n^2-58928*n^3+519*n^4-2*n^5)*p1^8+7741440*(-\
2157055511771160+516932540253624*n-88396278532005/2*n^2+1750451826116*n^3-\
283045582435/8*n^4+391062581*n^5-10009391/4*n^6+8645*n^7-91/8*n^8)*p6+2580480*(
936797698899084-864614178654161/5*n+67281418592413/6*n^2-8105738763533/24*n^3+
264455432411/48*n^4-6777781591/120*n^5+4389935/12*n^6-3943/3*n^7+27/16*n^8)*p3^
2+11612160*(-6809828650945320+3023206693996577*n-4321967473435081/9*n^2+
2589662473931005/72*n^3-1413454695110*n^4+8941158064991/288*n^5-13045837735/32*
n^6+495364915/144*n^7-2654105/144*n^8+15655/288*n^9-5/96*n^10)*p4+5806080*(
3324972133495344-5635383499859866/5*n+24577462072967837/180*n^2-\
1420545004835539/180*n^3+3973036104069/16*n^4-212788764686/45*n^5+7166573917/
120*n^6-45801883/90*n^7+391385/144*n^8-251/36*n^9)*p2^2-2888315781120*p8*p3^2+
331776*p7*p1^7-2576413163520*p6^2*p2+518924206080*p6^2*p1^2-31933440*p8*p1^6+
161231938560*p8*p2^3+111121920000*p4^2*p3^2-5769792000*p4^2*p2^3-15603840000*p4
^3*p1^2-3657830400*p6*p2^4-1789004206080*p5^2*p4+145362180096*p5^2*p2^2+
1503774720*p5^2*p1^4+81669095424*p5*p3^3+77293440000*p4^3*p2-1898007552000*p6*
p4^2+191600640*p3^2*p2^4+3096576*p3^3*p1^5+806400*p4^2*p1^6+65318400*p4*p2^5-\
2890137600*p3^4*p2+619315200*p3^4*p1^2+27648*p3*p1^9+23693095413832223232*n^6-\
353159053328488458240*n^5+22029425367160320*n^8-923431193782272000*n^7+
3716219082240*n^10-343197121213440*n^9+23224320*(-4171275847846800+
137811783925052628/35*n-25172752686504491/20*n^2+132388369582566191/720*n^3-\
837196962743749/60*n^4+1706083674957913/2880*n^5-43074733603781/2880*n^6+
2434624051861/10080*n^7-3860897419/1440*n^8+19788131/960*n^9-58369/576*n^10+35/
144*n^11)*p2+1660538880*p9*p1^5+48980787609600*p8*p6+264651345100800*p13*p1+
120533384724480*p12*p2-24574767759360*p12*p1^2+84174225408000*p11*p3+
1437120921600*p11*p1^3+63748087603200*p10*p4-5368522199040*p10*p2^2-58118860800
*p10*p1^4+53774891089920*p9*p5+23224320*(2083027737344400-1431732359869300*n+
20729056420112581/60*n^2-28819896929030087/720*n^3+307388063595289/120*n^4-\
284606951345881/2880*n^5+7074127717807/2880*n^6-3732764261/90*n^7+706599797/
1440*n^8-11561429/2880*n^9+11987/576*n^10-5/96*n^11)*p1^2
[4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2]
285079585623588439326720*n+442368/5*(-725550+33595/2*n-135/2*n^2)*p5*p1^7+
2903040*(2843080-58650*n+210*n^2)*p4*p2^2*p1^4+387072*(-620820+13570*n-50*n^2)*
p4*p2*p1^6+8709120*(-322159800+5841900*n-25500*n^2)*p4^2*p2^2+6881280*(63698400
-1232554*n+5490*n^2)*p3^3*p2*p1+7741440*(-12420040+245394*n-954*n^2)*p3^2*p2^2*
p1^2+2580480*(2937000-62170*n+258*n^2)*p3^2*p2*p1^4+1935360*(-9673074+352647/2*
n-891/2*n^2)*p3*p2^4*p1+2580480*(2294334-89127/2*n+243/2*n^2)*p3*p2^3*p1^3+
774144*(-515386+21339/2*n-63/2*n^2)*p3*p2^2*p1^5+23224320*(-402434850+14809775/
2*n-71075/2*n^2)*p4^2*p3*p1+17418240*(80359900-1560500*n+7100*n^2)*p4^2*p2*p1^2
+15482880*(-317822520+5840590*n-26630*n^2)*p4*p3^2*p2+15482880*(79903480-\
1572670*n+7510*n^2)*p4*p3^2*p1^2+1548288*(3588670-157625/2*n+725/2*n^2)*p4*p3*
p1^5+5806080*(-12209580+236250*n-810*n^2)*p4*p2^3*p1^2+24772608*(-404163360+
7571354*n-36066*n^2)*p5*p3^2*p1+18579456*(-322958856+5966442*n-25794*n^2)*p5*p3
*p2^2+6193152*(-19124040+408962*n-1914*n^2)*p5*p3*p1^4+9289728*(63511722-\
2437479/2*n+9315/2*n^2)*p5*p2^3*p1+9289728*(-15192246+625311/2*n-2475/2*n^2)*p5
*p2^2*p1^3+9289728/5*(3448210-151755/2*n+615/2*n^2)*p5*p2*p1^5+37158912*(
2018505720-34797350*n+165550*n^2)*p5*p4*p3+46448640*(202983216240-9659184990*n+
154120722*n^2-1042440*n^3+2268*n^4)*p6*p2^2+15482880*(8834189616-504814702*n+
9636774*n^2-71624*n^3+168*n^4)*p6*p1^4+18579456/5*(-1753212570+288637825/3*n-\
1801570*n^2+40205/3*n^3-30*n^4)*p5*p1^5+34836480*(227419456320-9792533075*n+
144568975*n^2-981700*n^3+2300*n^4)*p4^2*p2+30965760*(9041557086-884680715/2*n+
29636525/4*n^2-108345/2*n^3+515/4*n^4)*p4*p3*p1^3+34836480*(-48995354720+
2364114775*n-37197575*n^2+264750*n^3-650*n^4)*p4^2*p1^2+30965760*(229985257320-\
9514693460*n+141378950*n^2-977840*n^3+2390*n^4)*p4*p3^2+11612160*(-35006849496+
1516406265*n-23461335*n^2+153720*n^3-270*n^4)*p4*p2^3+73728*(106710-4691/2*n+15
/2*n^2)*p3*p2*p1^7+774144*(335839320-17842215*n+329750*n^2-2440*n^3+5*n^4)*p4*
p1^6+37158912*(8488977114-869182857/2*n+30197027/4*n^2-107813/2*n^3+465/4*n^4)*
p5*p2*p1^3+13762560*(-42650670864+1847987260*n-29063191*n^2+207034*n^3-495*n^4)
*p3^3*p1+15482880*(-35409709848+1500734180*n-23230610*n^2+156584*n^3-306*n^4)*
p3^2*p2^2+55738368*(-39950760002+1877623128*n-60661677/2*n^2+207108*n^3-855/2*n
^4)*p5*p2^2*p1+5160960*(-1681629720+82909752*n-1442404*n^2+10700*n^3-24*n^4)*p3
^2*p1^4+147456*(-61811442+6438559/2*n-236557/4*n^2+861/2*n^3-3/4*n^4)*p3*p1^7+
74317824*(-47296537752+6997863976/3*n-37801813*n^2+811034/3*n^3-657*n^4)*p5*p3*
p1^2+2903040*(-1215843696+55066491*n-875097*n^2+5058*n^3)*p2^4*p1^2+1935360*(
260428368-12411639*n+205731*n^2-1224*n^3)*p2^3*p1^4+387072*(-53875632+2669903*n
-45761*n^2+278*n^3)*p2^2*p1^6+74317824*(220310358072-9735416472*n+147188000*n^2
-1003336*n^3+2328*n^4)*p5*p3*p2+2580480*(50397480-931554*n+3402*n^2)*p3^2*p2^3+
123863040*(241144411284-12106661812*n+191001048*n^2-1333367*n^3+3255*n^4)*p6*p3
*p1+172032*(-655560+14874*n-66*n^2)*p3^2*p1^6+92897280*(-42929730480+2257914722
*n-39226572*n^2+278320*n^3-630*n^4)*p6*p2*p1^2+2048*(-19170+879/2*n-3/2*n^2)*p3
*p1^9+290304*(1739340-29160*n)*p2^5*p1^2+111476736*(258685284270-37618039270/3*
n+372606825/2*n^2-3846020/3*n^3+6335/2*n^4)*p5*p4*p1+241920*(-390960+6912*n)*p2
^4*p1^4+159252480*(212104874820-11508268016*n+200571667*n^2-1408126*n^3+3255*n^
4)*p7*p2*p1+64512*(81252-1512*n)*p2^3*p1^6+13824*(122560-2770*n+10*n^2)*p4*p1^8
+2293760*(-15652440+324738*n-1530*n^2)*p3^3*p1^3+1451520*(50109840-909090*n+
2970*n^2)*p4*p2^4+2903040*(-19257600+401500*n-1900*n^2)*p4^2*p1^4+20643840*(
2019321360-36234996*n+170772*n^2)*p6*p3^2+7741440*(-323555904+6166692*n-24948*n
^2)*p6*p2^3+445906944*(-346759485383520+285022383083923/4*n-774143355214381/144
*n^2+9394748892347/48*n^3-2200639351555/576*n^4+1019002697/24*n^5-79736243/288*
n^6+15381/16*n^7-75/64*n^8)*p5*p1+278691840*(-467704673768376+266111911075690/3
*n-35783440368425/6*n^2+1505191546789/8*n^3-154236846437/48*n^4+801518959/24*n^
5-634435/3*n^6+2835/4*n^7-35/48*n^8)*p4*p2+278691840*(91213932973336-\
49022916424165/3*n+4427717683841/4*n^2-900405439261/24*n^3+1423221587/2*n^4-\
64060323/8*n^5+1288465/24*n^6-755/4*n^7+5/24*n^8)*p4*p1^2+123863040*(-\
21370906354302+17170285358462/5*n-5151920366627/24*n^2+166684982317/24*n^3-\
12537499031/96*n^4+180353507/120*n^5-497053/48*n^6+217/6*n^7-1/32*n^8)*p3*p1^3+
139345920*(-23005263434048+51961595891963/15*n-807995892137/4*n^2+49022153681/8
*n^3-2636003369/24*n^4+146842331/120*n^5-193105/24*n^6+97/4*n^7)*p2^2*p1^2+
46448640*(4411347945384-9859658781193/15*n+1411875914753/36*n^2-9995754281/8*n^
3+1711786333/72*n^4-33550321/120*n^5+138385/72*n^6-6*n^7)*p2*p1^4+743178240*(-\
1415426654862726+2022031069579939/4*n-2970631174487551/45*n^2+12121951380907651
/2880*n^3-85252201239121/576*n^4+7138563947537/2304*n^5-473232223709/11520*n^6+
2064792293/5760*n^7-2275357/1152*n^8+4379/768*n^9-1/256*n^10)*p3*p1+557383680*(
433145799359412-763533029796329/6*n+566763783123219/40*n^2-19311398471833/24*n^
3+7636067331281/288*n^4-78980779813/144*n^5+5393467373/720*n^6-2447839/36*n^7+
109601/288*n^8-145/144*n^9)*p2*p1^2-1447649280*p4*p3*p2*p1^5+2229534720/11*(-\
13313021436+369315089*n-1640925*n^2)*p11*p1+111476736*(-11616667920+274279720*n
-1206920*n^2)*p10*p2+28798156800*p4*p3*p2^2*p1^3-107644723200*p4*p3*p2^3*p1+
74317824*(-1463954190936+299159255975/2*n-136493438021/24*n^2+4994961377/48*n^3
-47226077/48*n^4+219511/48*n^5-115/16*n^6)*p5*p1^3-317089382400*p4*p3^2*p2*p1^2
+69672960*(8391564892608-724536638526*n+45124243089/2*n^2-1400464865/4*n^3+
12013645/4*n^4-51415/4*n^5+65/4*n^6)*p4*p2^2+2270757888000*p4^2*p3*p2*p1-\
359846903808*p5*p3*p2^2*p1^2+23224320*(306445331520-88253615728/3*n+6455486677/
6*n^2-233781295/12*n^3+2240215/12*n^4-10465/12*n^5+5/4*n^6)*p4*p1^4+31139168256
*p5*p3*p2*p1^4+61931520*(8957446708416-749174878962*n+135037422835/6*n^2-\
4115969995/12*n^3+35459791/12*n^4-156269/12*n^5+73/4*n^6)*p3^2*p2+2456649990144
*p5*p3^2*p2*p1+4754854379520*p5*p4*p3*p1^2+61931520*(-1708250904720+
460439647918/3*n-30456087787/6*n^2+994893655/12*n^3-9044107/12*n^4+41809/12*n^5
-21/4*n^6)*p3^2*p1^2+2659974266880*p5*p4*p2^2*p1-476005662720*p5*p4*p2*p1^3-\
17058170142720*p5*p4*p3*p2+6193152*(-60553372320+33318973721/6*n-4769011141/24*
n^2+173151433/48*n^3-1682509/48*n^4+7759/48*n^5-3/16*n^6)*p3*p1^5+3031609835520
*p6*p3*p2^2*p1-541033758720*p6*p3*p2*p1^3-37469188915200*p6*p4*p3*p1+23224320*(
291563426064-24229833723*n+1562491155/2*n^2-12916797*n^3+227709/2*n^4-432*n^5)*
p2^3*p1^2+11612160*(-57294633600+14928794870/3*n-169659857*n^2+8858716/3*n^3-\
27103*n^4+106*n^5)*p2^2*p1^4+5930562355200*p6*p4*p2*p1^2-45069152550912*p6*p5*
p2*p1+7037685596160*p7*p3*p2*p1^2+1548288*(11220008688-1004430269*n+214280167/6
*n^2-1946095/3*n^3+36953/6*n^4-74/3*n^5)*p2*p1^6-49502837145600*p7*p4*p2*p1+
123863040*(2382738930-111449195/2*n+495495/2*n^2)*p9*p2*p1+92897280*(2520766710
-102950661/2*n+476289/2*n^2)*p8*p3*p1+27648*(10668944-1619513/3*n+9403*n^2-172/
3*n^3)*p2*p1^8+318504960*(-28956817346688+3490678284551*n-593462913891/4*n^2+
22705254455/8*n^3-209975443/8*n^4+946193/8*n^5-1575/8*n^6)*p7*p1+69672960*(-\
481621140+11108196*n-49500*n^2)*p8*p2*p1^2+185794560*(-35936770987392+
3810040533628*n-138373882283*n^2+4579499589/2*n^3-39812381/2*n^4+174391/2*n^5-\
273/2*n^6)*p6*p2+185794560*(6656982338688-733490649346*n+29338459066*n^2-\
1095143301/2*n^3+10236779/2*n^4-46963/2*n^5+77/2*n^6)*p6*p1^2+79626240*(
2658685740-48360765*n+226425*n^2)*p7*p4*p1+53084160*(2038486032-38610324*n+
174948*n^2)*p7*p3*p2+53084160*(-505423440+10445556*n-48900*n^2)*p7*p3*p1^2+
39813120*(-400771524+8289639*n-35595*n^2)*p7*p2^2*p1+26542080*(95443452-2165511
*n+9555*n^2)*p7*p2*p1^3+74317824*(2744811972-46941783*n+220815*n^2)*p6*p5*p1+
46448640*(2086470960-36639120*n+168000*n^2)*p6*p4*p2+46448640*(-524238120+
9923760*n-47040*n^2)*p6*p4*p1^2+20643840*(99424332-2085027*n+9807*n^2)*p6*p3*p1
^3+23224320*(78979656-1627668*n+6804*n^2)*p6*p2^2*p1^2+148635648*(-\
42807305038080+4373103298126*n-889848273839/6*n^2+26849397047/12*n^3-225385211/
12*n^4+1002241/12*n^5-557/4*n^6)*p5*p3+7741440*(-18434640+411348*n-1764*n^2)*p6
*p2*p1^4+6912*(-14776+288*n)*p2^2*p1^8+1536/5*(1980-40*n)*p2*p1^10+371589120*(
111479954698896-1103780170903897/60*n+162168276044081/144*n^2-547876663473/16*n
^3+342105269255/576*n^4-95931032/15*n^5+12040507/288*n^6-2227/16*n^7+7/64*n^8)*
p3*p2*p1+92897280*(-1604685797016+803922752977/6*n-33670790179/8*n^2+3239611525
/48*n^3-9521299/16*n^4+40273/16*n^5-39/16*n^6)*p3*p2^2*p1+61931520*(
311619409392-55018231343/2*n+22310321197/24*n^2-762419809/48*n^3+7064965/48*n^4
-31223/48*n^5+11/16*n^6)*p3*p2*p1^3+222953472*(7760560970688-4562630585269/6*n+
212910080931/8*n^2-21174316285/48*n^3+62583323/16*n^4-278153/16*n^5+415/16*n^6)
*p5*p2*p1+185794560*(8809260768000-4998459894047/6*n+662908563547/24*n^2-\
20696448055/48*n^3+180635395/48*n^4-823105/48*n^5+445/16*n^6)*p4*p3*p1+
139345920*(-1598467358400+441607589977/3*n-15054591275/3*n^2+335956985/4*n^3-\
3045135/4*n^4+40865/12*n^5-55/12*n^6)*p4*p2*p1^2+30965760*(7839869240-\
1076790926/3*n+5887777*n^2-124882/3*n^3+87*n^4)*p3^2*p2*p1^2+15482880*(
6587039658-291557538*n+9270837/2*n^2-29979*n^3+81/2*n^4)*p3*p2^3*p1+15482880*(-\
1435440810+135604693/2*n-4547627/4*n^2+15355/2*n^3-45/4*n^4)*p3*p2^2*p1^3+
3096576*(303160322-45454991/3*n+267130*n^2-5638/3*n^3+3*n^4)*p3*p2*p1^5+
247726080*(-977445787890+64485270850*n-2621459555/2*n^2+9458020*n^3-45045/2*n^4
)*p9*p1+139345920*(-1030441778784+57742675089*n-1010142045*n^2+6994812*n^3-\
16236*n^4)*p8*p2+139345920*(207308126784-12999455029*n+259370001*n^2-1897346*n^
3+4554*n^4)*p8*p1^2+34836480*(7671013048-359102895*n+5900960*n^2-40400*n^3+75*n
^4)*p4*p2^2*p1^2+106168320*(-1205411728752+61844033304*n-954128460*n^2+6497232*
n^3-15756*n^4)*p7*p3+53084160*(-43263297684+2585929857*n-100951047/2*n^2+372963
*n^3-1785/2*n^4)*p7*p1^3+11612160*(-1630179768+245769395/3*n-1430465*n^2+30640/
3*n^3-20*n^4)*p4*p2*p1^4+92897280*(-1333075623264+65580755450*n-926922990*n^2+
6159580*n^3-15120*n^4)*p6*p4+423293330718720*p8*p5*p1+206790738739200*p8*p4*p2-\
57572160307200*p8*p4*p1^2+5481311109120*p8*p3*p1^3+4635202682880*p8*p2^2*p1^2-\
395463720960*p8*p2*p1^4+395242997022720*p7*p6*p1+182702089175040*p7*p5*p2+
913516178964480*p11*p2*p1+628082225971200*p10*p3*p1-102023508787200*p10*p2*p1^2
+516096*(4048632-97188*n+420*n^2)*p6*p1^6+111476736/5*(2107880040-36019890*n+
165690*n^2)*p5^2*p2-60689885921280*p8*p3*p2*p1+111476736/5*(-531850200+9758370*
n-46410*n^2)*p5^2*p1^2+111476736*(2738021000-74777560*n+337480*n^2)*p10*p1^2+
82575360*(-12378829320+249905370*n-1136850*n^2)*p9*p3+41287680*(-556254270+
29658915/2*n-135135/2*n^2)*p9*p1^3+69672960*(-13259679840+232737450*n-1070850*n
^2)*p8*p4+34836480*(1993092552-41393484*n+179388*n^2)*p8*p2^2+11612160*(
110959200-2867964*n+13068*n^2)*p8*p1^4+63700992*(-13931240400+223663140*n-\
1034580*n^2)*p7*p5+2654208*(-21569940+537915*n-2415*n^2)*p7*p1^5+6144*p3*p2*p1^
9-209018880*p3*p2^4*p1^3+20901888*p3*p2^3*p1^5-663552*p3*p2^2*p1^7+470292480*p3
*p2^5*p1+6688604160*p3^2*p2^3*p1^2-882524160*p3^2*p2^2*p1^4+28901376*p3^2*p2*p1
^6-206696448000*p4^2*p3*p1^3-167215104000*p4^2*p2^2*p1^2+14515200000*p4^2*p2*p1
^4+693633024000*p4*p3^3*p1+570853785600*p4*p3^2*p2^2+14089420800*p4*p3^2*p1^4+
15482880*p4*p3*p1^7+3135283200*p4*p2^4*p1^2-522547200*p4*p2^3*p1^4+23224320*p4*
p2^2*p1^6-276480*p4*p2*p1^8-52022476800*p3^3*p2^2*p1+9496166400*p3^3*p2*p1^3-\
710664192*p5*p2^2*p1^5+13271040*p5*p2*p1^7-495452160*p5*p3*p1^6-\
509593878375327896961024*n^2-29158133760*p5*p2^4*p1+10032906240*p5*p2^3*p1^3+
12030197760*p5*p4*p1^5-223250743296*p5*p3^2*p1^3+439441293312*p5*p3*p2^3-\
16333432012800*p5*p4^2*p1-520224768*p6*p2*p1^6-17729260093440*p5^2*p3*p1+
2809213747200*p5^2*p2*p1^2+4082723979264*p6*p5*p1^3-10768652697600*p6*p4*p2^2-\
260112384000*p6*p4*p1^4-9769821143040*p6*p3^2*p2+2719041454080*p6*p3^2*p1^2+
13612548096*p6*p3*p1^5-140460687360*p6*p2^3*p1^2+17557585920*p6*p2^2*p1^4-\
50894544568320*p7*p5*p1^2+149958505267200*p7*p4*p3+4481364787200*p7*p4*p1^3-\
22341211914240*p7*p3^2*p1-12805810421760*p7*p3*p2^2-307675791360*p7*p3*p1^4+
1279195545600*p7*p2^3*p1-334430208000*p7*p2^2*p1^3+16164126720*p7*p2*p1^5+
136365477986304*p6*p5*p3+490191077376000*p9*p4*p1+260018248089600*p9*p3*p2-\
72266652057600*p9*p3*p1^2-41845579776000*p9*p2^2*p1+7439214182400*p9*p2*p1^3+
23046774875571879936*n^7-552465847544057856*n^8-92878120194048*n^10+
8610859025031168*n^9+695138992128*n^11-3324948480*n^12+7741440*n^13+23224320*(
63708070-2434845/2*n+10185/2*n^2)*p4*p3*p2^2*p1+15482880*(-15486810+634205/2*n-\
2785/2*n^2)*p4*p3*p2*p1^3+37158912*(80206000-1592058*n+7170*n^2)*p5*p3*p2*p1^2+
55738368*(-412345870+15190365/2*n-69825/2*n^2)*p5*p4*p2*p1+61931520*(-407903412
+7891527*n-35847*n^2)*p6*p3*p2*p1+92897280*(-42014138598+5627011040/3*n-\
58953505/2*n^2+616555/3*n^3-925/2*n^4)*p4*p3*p2*p1-6061547520*p3^2*p2^4+
1123417954713600*p12*p1^2-4025581004390400*p12*p2-9981136443801600*p13*p1-\
2704086726082560*p11*p3-82778165084160*p11*p1^3-2075540756889600*p10*p4-221184*
p3^2*p1^8-5098722951168*p5^2*p2^2+59321230295040*p5^2*p4-2565781585920*p5*p3^3-\
123293270016*p5^2*p1^4-36864*p5*p1^9-2621445120000*p4^3*p2+203793408000*p4^2*p2
^3-3546353664000*p4^2*p3^2+731566080000*p4^3*p1^2-2351462400*p4*p2^5-232243200*
p4^2*p1^6+185555256606720*p10*p2^2-185980354560*p9*p1^5+88080384000*p3^4*p2+
4463528509440*p10*p1^4+87834749829120*p6^2*p2-5711231877120*p8*p2^3+6131220480*
p8*p1^6-1759055330672640*p9*p5+92274868224000*p8*p3^2+62719598592000*p6*p4^2-\
1605325195837440*p8*p6+3096576*p6*p1^8+131681894400*p6*p2^4-24471373086720*p6^2
*p1^2-247726080*p3^3*p1^5-159252480*p7*p1^7-24772608000*p3^4*p1^2-\
779470818508800*p7^2+43726883468083200*p14+18579456*(101449410-4019365/2*n+
19145/2*n^2)*p5*p4*p1^3-586605869835333562368*n^6+8659637275734240509952*n^5+
5806080*(1996008000-33993750*n+162750*n^2)*p4^3+1146880*(-313718400+5823120*n-\
27600*n^2)*p3^4+557383680*(3552184621745760-1596951746960642*n+9257953878321577
/36*n^2-312358119206513/16*n^3+6984702738226/9*n^4-3296876583245/192*n^5+
130036729399/576*n^6-182082965/96*n^7+321645/32*n^8-1855/64*n^9+5/192*n^10)*p4+
48384*(-7338600+116640*n)*p2^6+1114767360*(-1069039753412400+78520939010772197/
105*n-66437972303567729/360*n^2+31647482353092559/1440*n^3-1045531308958037/720
*n^4+66782547815369/1152*n^5-2856714827897/1920*n^6+129839359561/5040*n^7-\
891971597/2880*n^8+14712481/5760*n^9-15271/1152*n^10+19/576*n^11)*p1^2+
222953472*(4554664033920-317326425130*n+6529910530*n^2-46326280*n^3+108680*n^4)
*p10+1114767360*(2110179855722400-211046607885384487/105*n+233961777092078069/
360*n^2-83072054498707265/864*n^3+1330083124675741/180*n^4-1827933601413997/
5760*n^5+46564017071041/5760*n^6-528999576317/4032*n^7+4197293899/2880*n^8-\
192840527/17280*n^9+62629/1152*n^10-37/288*n^11)*p2+222953472/5*(-1378865176920
+67047972460*n-919866510*n^2+6053960*n^3-14910*n^4)*p5^2+580608*(5509155600-\
235420155*n+3572235*n^2-19980*n^3)*p2^5+278691840*(120305953447680-\
16195827784752*n+740060450173*n^2-29033529019/2*n^3+265412587/2*n^4-1170917/2*n
^5+1947/2*n^6)*p8+69672960*(-45292798763520+13768456637000/3*n-152666158025*n^2
+13364470025/6*n^3-36758475/2*n^4+163325/2*n^5-275/2*n^6)*p4^2+123863040*(-\
517964595686208+97247145920097*n-76834724064653/12*n^2+2339392205135/12*n^3-\
153127310687/48*n^4+97579526/3*n^5-4968643/24*n^6+8573/12*n^7-13/16*n^8)*p3^2+
46448640*(121816252729848-92759952655467/5*n+4161899149917/4*n^2-235743401373/8
*n^3+3946753413/8*n^4-207527619/40*n^5+260433/8*n^6-189/2*n^7)*p2^3+92897280*(-\
99048988777056+26094372706176*n-122471439457198/45*n^2+27204228827359/180*n^3-\
364728279941/72*n^4+988545533/9*n^5-71759312/45*n^6+691594/45*n^7-6523/72*n^8+1
/4*n^9)*p1^4+3072/5*(-1985520+99715*n-1705*n^2+10*n^3)*p1^10+5806080*(-\
1477898119104+115703996364*n-3494492946*n^2+54652896*n^3-461142*n^4+1692*n^5)*
p2^4+30965760*(-14177183328+220831632*n-1023120*n^2)*p6^2+55296*(-2184065856+
597131320/3*n-21807512/3*n^2+407392/3*n^3-3952/3*n^4+16/3*n^5)*p1^8+371589120*(
1169861530677840-1422920708686488/5*n+74075558515568/3*n^2-3960574035663/4*n^3+
483860154841/24*n^4-4454664683/20*n^5+8489677/6*n^6-9625/2*n^7+49/8*n^8)*p6+
3096576*(-854846401680+126095072957*n-30513789981/4*n^2+6032407231/24*n^3-\
40024115/8*n^4+1478167/24*n^5-3523/8*n^6+17/12*n^7)*p1^6+278691840*(-\
1761000452669448+9097537475197693/15*n-1493895791072203/20*n^2+43871399193543/
10*n^3-2240413785175/16*n^4+40420913992/15*n^5-4104693647/120*n^6+5826229/20*n^
7-74209/48*n^8+47/12*n^9)*p2^2+185794560*(64250746560-1792553100*n+7810140*n^2)
*p12-70133464817232081076224*n^4+286552223335371877318656*n^3
[4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
-7068259707110603882496000*n+4541644800*(-2496927255+1534245805/12*n-17641935/8
*n^2+196715/12*n^3-305/8*n^4)*p4*p3*p1^3+5109350400*(-2051411976+100490460*n-\
3427185/2*n^2+12075*n^3-45/2*n^4)*p4*p2^2*p1^2+1703116800*(510706712-27349930*n
+1007275/2*n^2-3755*n^3+15/2*n^4)*p4*p2*p1^4+4541644800*(-2068145572+98108111*n
-3289843/2*n^2+11657*n^3-45/2*n^4)*p3^2*p2*p1^2+23357030400*(-48629754354+
5477007275/2*n-198124839/4*n^2+720885/2*n^3-3465/4*n^4)*p7*p2*p1+18166579200*(-\
54763158282+5665563827/2*n-183083271/4*n^2+651595/2*n^3-3213/4*n^4)*p6*p3*p1+
9083289600*(-76911055824+85971799865/12*n-509560307/2*n^2+218466301/48*n^3-\
699973/16*n^4+3157/16*n^5-3/16*n^6)*p3*p2*p1^3+2270822400*(-1685611917+
309556467/4*n-10114767/8*n^2+33093/4*n^3-81/8*n^4)*p3*p2^3*p1+2270822400*(
428419121-85087485/4*n+2963157/8*n^2-10203/4*n^3+27/8*n^4)*p3*p2^2*p1^3+
454164480*(-107743609+23092403/4*n-860023/8*n^2+3125/4*n^3-9/8*n^4)*p3*p2*p1^5+
13624934400*(10811025792-595913892*n+10815189*n^2-79926*n^3+189*n^4)*p6*p2*p1^2
+16349921280*(-58717329699+11722592985/4*n-355795365/8*n^2+1244555/4*n^3-6195/8
*n^4)*p5*p4*p1+10899947520*(-48006425964+2177525097*n-67175817/2*n^2+231915*n^3
-1071/2*n^4)*p5*p3*p2+10899947520*(11791940244-604344401*n+20121015/2*n^2-73357
*n^3+357/2*n^4)*p5*p3*p1^2+8174960640*(9659948781-1889788203/4*n+63232839/8*n^2
-222705/4*n^3+945/8*n^4)*p5*p2^2*p1+5449973760*(-2371556901+513583893/4*n-\
18745629/8*n^2+69951/4*n^3-315/8*n^4)*p5*p2*p1^3+54499737600*(-21907394822030+
29831056503063/8*n-22659515460247/96*n^2+712978599011/96*n^3-51110376865/384*n^
4+35413789/24*n^5-1896509/192*n^6+1063/32*n^7-3/128*n^8)*p3*p2*p1+32699842560*(
-1638500670456+665273361523/4*n-24136951371/4*n^2+1657309749/16*n^3-15166731/16
*n^4+69279/16*n^5-105/16*n^6)*p5*p2*p1+27249868800*(-1852434652160+723965807065
/4*n-74271770405/12*n^2+4760173145/48*n^3-42373355/48*n^4+194635/48*n^5-305/48*
n^6)*p4*p3*p1+20437401600*(363316127408-35001848422*n+2494351527/2*n^2-86901015
/4*n^3+815325/4*n^4-3745/4*n^5+5/4*n^6)*p4*p2*p1^2+13624934400*(353878575580-\
122857406723/4*n+4006406653/4*n^2-265569145/16*n^3+2404611/16*n^4-10299/16*n^5+
9/16*n^6)*p3*p2^2*p1+13624934400*(277692937368-13930545370*n+200627910*n^2-\
1354220*n^3+3360*n^4)*p6*p4+18166579200*(-598520065+29006835/2*n-135135/2*n^2)*
p9*p2*p1+18166579200*(4521415364832-6081698374721/8*n+14362489980359/288*n^2-\
54212788087/32*n^3+38423712161/1152*n^4-9589273/24*n^5+1639261/576*n^6-971/96*n
^7+1/128*n^8)*p3*p1^3+20437401600*(4787590803112-3756885460607/5*n+183125302907
/4*n^2-11614029395/8*n^3+217202173/8*n^4-12597659/40*n^5+17229/8*n^6-27/4*n^7)*
p2^2*p1^2+6812467200*(-998160376832+785365856049/5*n-119119127117/12*n^2+
8044387637/24*n^3-161941213/24*n^4+10049039/120*n^5-14569/24*n^6+2*n^7)*p2*p1^4
+108999475200*(256456547869167-747858368648753/8*n+18006455779731343/1440*n^2-\
471993420704965/576*n^3+11401530328705/384*n^4-492130316011/768*n^5+11188816213
/1280*n^6-30040919/384*n^7+253349/576*n^8-2945/2304*n^9+1/1280*n^10)*p3*p1+
81749606400*(-80969360091624+367410526914863/15*n-169255375080073/60*n^2+
6653200058301/40*n^3-91256857435/16*n^4+58934718989/480*n^5-69664963/40*n^6+
3933629/240*n^7-4561/48*n^8+25/96*n^9)*p2*p1^2+40874803200*(87844520995352-\
102000746833789/6*n+28048087738439/24*n^2-113387664295/3*n^3+63675914579/96*n^4
-56577391/8*n^5+2197345/48*n^6-1245/8*n^7+5/32*n^8)*p4*p2+40874803200*(-\
18236053849432+20323915231963/6*n-5728517833937/24*n^2+101136887447/12*n^3-\
15966876433/96*n^4+46524691/24*n^5-642995/48*n^6+385/8*n^7-5/96*n^8)*p4*p1^2+
1703116800*(15569310400-1443096896*n+52418050*n^2-968401*n^3+9414*n^4-39*n^5)*
p2^2*p1^4+227082240*(-3487674096+1017280991/3*n-26188943/2*n^2+1546589/6*n^3-\
5297/2*n^4+23/2*n^5)*p2*p1^6+65399685120*(66170899751638-558396195843699/40*n+
104124532027207/96*n^2-1303883084929/32*n^3+105059195067/128*n^4-187910483/20*n
^5+12082981/192*n^6-7147/32*n^7+35/128*n^8)*p5*p1+4055040*(-5645716+323987*n-\
6383*n^2+44*n^3)*p2*p1^8+46714060800*(5889068241056-1464249640963/2*n+
192799987763/6*n^2-5076574921/8*n^3+145311793/24*n^4-224939/8*n^5+385/8*n^6)*p7
*p1+27249868800*(7111596721152-772191872270*n+28795871370*n^2-981229823/2*n^3+
8771217/2*n^4-39417/2*n^5+63/2*n^6)*p6*p2+27249868800*(-1444297004640+
165896896032*n-6926423287*n^2+269518963/2*n^3-2615977/2*n^4+12425/2*n^5-21/2*n^
6)*p6*p1^2+21799895040*(8437597861440-880242503525*n+30499659891*n^2-1881826919
/4*n^3+16086301/4*n^4-72293/4*n^5+119/4*n^6)*p5*p3+10899947520*(342057575064-\
147227417675/4*n+1475201730*n^2-454075475/16*n^3+4485085/16*n^4-21665/16*n^5+35
/16*n^6)*p5*p1^3+10218700800*(-1718465444640+152849535343*n-4912848708*n^2+
314102375/4*n^3-2763825/4*n^4+12045/4*n^5-15/4*n^6)*p4*p2^2+3406233600*(-\
77846965952+7946557021*n-927161411/3*n^2+71097185/12*n^3-715295/12*n^4+3475/12*
n^5-5/12*n^6)*p4*p1^4+9083289600*(-1825524331440+470379027815/3*n-4839363163*n^
2+905419825/12*n^3-2640085/4*n^4+11617/4*n^5-15/4*n^6)*p3^2*p2+9083289600*(
386678437512-108724017499/3*n+3737971330/3*n^2-251785663/12*n^3+2338409/12*n^4-\
10837/12*n^5+5/4*n^6)*p3^2*p1^2+908328960*(16884015060-19934168365/12*n+
764132497/12*n^2-59069803/48*n^3+604697/48*n^4-2881/48*n^5+1/16*n^6)*p3*p1^5+
3406233600*(-70122577872+6124759227*n-414460089/2*n^2+7167573/2*n^3-65943/2*n^4
+261/2*n^5)*p2^3*p1^2+6812467200*(-44747725344+2201094000*n-36253287*n^2+252630
*n^3-567*n^4)*p6*p2^2+2270822400*(-2572418688+157255336*n-3202143*n^2+25214*n^3
-63*n^4)*p6*p1^4+544997376*(575132145-136643339/4*n+5512431/8*n^2-21889/4*n^3+
105/8*n^4)*p5*p1^5+5109350400*(-49512710940+2187142545*n-32887050*n^2+225750*n^
3-525*n^4)*p4^2*p2+5109350400*(12213729340-612022645*n+9865350*n^2-71400*n^3+
175*n^4)*p4^2*p1^2+4541644800*(-49467985140+6253974805/3*n-62695455/2*n^2+
650195/3*n^3-1025/2*n^4)*p4*p3^2+1703116800*(8125563528-363883950*n+11569635/2*
n^2-38655*n^3+135/2*n^4)*p4*p2^3+113541120*(-125911224+21949120/3*n-293385/2*n^
2+3485/3*n^3-5/2*n^4)*p4*p1^6+2018508800*(10055567880-1337061415/3*n+14185867/2
*n^2-150635/3*n^3+225/2*n^4)*p3^3*p1+2270822400*(8111539916-352644705*n+
11089977/2*n^2-37311*n^3+135/2*n^4)*p3^2*p2^2+756940800*(519386124-80895907/3*n
+968689/2*n^2-10877/3*n^3+15/2*n^4)*p3^2*p1^4+21626880*(26897829-18539767/12*n+
246925/8*n^2-2849/12*n^3+3/8*n^4)*p3*p1^7+425779200*(351536436-16735707*n+
277965*n^2-1674*n^3)*p2^4*p1^2+283852800*(-89303796+4549455*n-80055*n^2+504*n^3
)*p2^3*p1^4+56770560*(22513556-1221687*n+22773*n^2-150*n^3)*p2^2*p1^6+
36333158400*(213863107029-174812567605/12*n+2443420915/8*n^2-27356615/12*n^3+
45045/8*n^4)*p9*p1+20437401600*(216978338148-12494887119*n+225266184*n^2-\
1608750*n^3+3861*n^4)*p8*p2+20437401600*(-49375513668+3234801843*n-67322112*n^2
+513084*n^3-1287*n^4)*p8*p1^2+15571353600*(251381874744-13164442714*n+207305637
*n^2-1437590*n^3+3531*n^4)*p7*p3+7785676800*(11328786810-1431693989/2*n+
58964829/4*n^2-228811/2*n^3+1155/4*n^4)*p7*p1^3+2554675200*(-23527800+457800*n-\
2100*n^2)*p4^2*p2*p1^2+2270822400*(76368100-1385790*n+6150*n^2)*p4*p3^2*p2+
2270822400*(-22609700+439730*n-2050*n^2)*p4*p3^2*p1^2+227082240*(-1498835+66265
/2*n-305/2*n^2)*p4*p3*p1^5+3027763200*(-460850040+8268876*n-39060*n^2)*p6*p3^2+
851558400*(3966300-77490*n+270*n^2)*p4*p2^3*p1^2+56770560*(329140-7530*n+30*n^2
)*p4*p2*p1^6+1135411200*(82636848-1612548*n+6804*n^2)*p6*p2^3+29727129600*(
3150501302-89804013*n+415701*n^2)*p11*p1+1009254400*(-17017600+321870*n-1350*n^
2)*p3^3*p2*p1+1135411200*(3865740-74862*n+270*n^2)*p3^2*p2^2*p1^2+16349921280*(
2627911000-63769992*n+291720*n^2)*p10*p2+16349921280*(-721559696+20498192*n-\
97240*n^2)*p10*p1^2+378470400*(-1125820+23394*n-90*n^2)*p3^2*p2*p1^4+35481600*(
182196-3240*n)*p2^4*p1^4+9461760*(-51624+972*n)*p2^3*p1^6+1013760*(14460-288*n)
*p2^2*p1^8+45056*(-4000+84*n)*p2*p1^10+3269984256*(-492993900+8472114*n-39690*n
^2)*p5^2*p2+3269984256*(146258532-2707614*n+13230*n^2)*p5^2*p1^2+12976128*(
428337-22113/2*n+105/2*n^2)*p5*p1^7+1277337600*(79667700-1442700*n+6300*n^2)*p4
^2*p2^2+425779200*(6891100-144900*n+700*n^2)*p4^2*p1^4+378470400*(-854901+32805
/2*n-81/2*n^2)*p3*p2^3*p1^3+1009254400/3*(5007000-101490*n+450*n^2)*p3^3*p1^3+
113541120*(245985-10107/2*n+27/2*n^2)*p3*p2^2*p1^5+10813440*(-70081+3093/2*n-9/
2*n^2)*p3*p2*p1^7+378470400*(-13170060+238626*n-810*n^2)*p3^2*p2^3+13624934400*
(-619076055+25707825/2*n-122265/2*n^2)*p8*p3*p1+10218700800*(135876312-3274128*
n+15444*n^2)*p8*p2*p1^2+12111052800*(2741884860-56122170*n+261690*n^2)*p9*p3+
11678515200*(-651917310+11988185*n-57585*n^2)*p7*p4*p1+7785676800*(-477694200+
9158292*n-42372*n^2)*p7*p3*p2+7785676800*(139043256-2927628*n+14124*n^2)*p7*p3*
p1^2+6055526400*(165304425-9294285/2*n+45045/2*n^2)*p9*p1^3+5839257600*(
107520138-2300859*n+10395*n^2)*p7*p2^2*p1+3892838400*(-30663930+732501*n-3465*n
^2)*p7*p2*p1^3+10218700800*(2928988920-51930450*n+244530*n^2)*p8*p4+10899947520
*(-673122114+11610081*n-56007*n^2)*p6*p5*p1+6812467200*(-488024040+8631000*n-\
40320*n^2)*p6*p4*p2+6812467200*(144113760-2758560*n+13440*n^2)*p6*p4*p1^2+
3027763200*(-31003938+662571*n-3213*n^2)*p6*p3*p1^3+3633315840*(102281760-\
1907478*n+9030*n^2)*p5*p3^2*p1+5109350400*(-478377900+10239372*n-46332*n^2)*p8*
p2^2+9342812160*(3075672600-49791588*n+235620*n^2)*p7*p5+2724986880*(80041500-\
1481706*n+6426*n^2)*p5*p3*p2^2+908328960*(6851124-148842*n+714*n^2)*p5*p3*p1^4+
1362493440*(-18204669+712719/2*n-2835/2*n^2)*p5*p2^3*p1+1362493440*(5281605-\
224721/2*n+945/2*n^2)*p5*p2^2*p1^3+3406233600*(101557765-3712275/2*n+17675/2*n^
2)*p4^2*p3*p1+389283840*(8581650-232683*n+1155*n^2)*p7*p1^5-204864513638400*p5*
p4*p3*p1^2-131330742681600*p6*p3*p2^2*p1+29184609484800*p6*p3*p2*p1^3-\
329894697369600*p7*p3*p2*p1^2+2498778906624000*p8*p3*p2*p1-90307768320000*p4^2*
p3*p2*p1-1945640632320*p5*p3*p2*p1^4+17510765690880*p5*p3*p2^2*p1^2-\
98426526105600*p5*p3^2*p2*p1+25321940582400*p5*p4*p2*p1^3-113948732620800*p5*p4
*p2^2*p1+614593540915200*p5*p4*p3*p2-274678677504000*p6*p4*p2*p1^2+75694080*(-\
1930824+51156*n-252*n^2)*p6*p1^6+1441109311488000*p6*p4*p3*p1+1831420082257920*
p6*p5*p2*p1+2017521893376000*p7*p4*p2*p1+1703116800*(-37774308+1045044*n-5148*n
^2)*p8*p1^4+103890124800*p4*p3*p2*p1^5+4675055616000*p4*p3*p2^3*p1-\
1558351872000*p4*p3*p2^2*p1^3+13965557760000*p4*p3^2*p2*p1^2+283852800*(2944701
-105867/2*n+243/2*n^2)*p3*p2^4*p1+425779200*(-1148520+24210*n-90*n^2)*p4*p2^2*
p1^4+5449973760*(-459174660+7895670*n-37590*n^2)*p5*p4*p3+272498688*(-1514625+
70623/2*n-315/2*n^2)*p5*p2*p1^5+2724986880*(-31619175+1265835/2*n-6195/2*n^2)*
p5*p4*p1^3+1135411200*(6857760-162036*n+756*n^2)*p6*p2*p1^4+3406233600*(-\
23962680+511812*n-2268*n^2)*p6*p2^2*p1^2+42577920*(-636336+10692*n)*p2^5*p1^2+
57224724480*p6*p2*p1^6-118264430592000*p6*p3^2*p1^2-972820316160*p6*p3*p1^5+
7725337804800*p6*p2^3*p1^2-4704330150051840*p6*p5*p3-203491120250880*p6*p5*p1^3
+412018016256000*p6*p4*p2^2+15259926528000*p6*p4*p1^4+354793291776000*p6*p3^2*
p2+26302935859200*p8*p2*p1^4-15042581574451200*p7*p6*p1-6604060203417600*p7*p5*
p2+2201353401139200*p7*p5*p1^2-5184793608192000*p7*p4*p3-224169099264000*p7*p4*
p1^3+866701541376000*p7*p3^2*p1+494842046054400*p7*p3*p2^2+18327483187200*p7*p3
*p1^4-60699082752000*p7*p2^3*p1+20233027584000*p7*p2^2*p1^3-1348868505600*p7*p2
*p1^5-277642100736000*p8*p3*p1^3-236726422732800*p8*p2^2*p1^2+2498778906624000*
p8*p4*p1^2+3169341407232000*p9*p3*p1^2+1841205510144000*p9*p2^2*p1-\
409156780032000*p9*p2*p1^3-16128960268861440*p8*p5*p1-7496336719872000*p8*p4*p2
-18736782704640000*p9*p4*p1-9508024221696000*p9*p3*p2+4769599035801600*p10*p2*
p1^2-24218963992903680*p10*p3*p1-37072792505548800*p11*p2*p1+901120/3*(19749-\
939/2*n+3/2*n^2)*p3*p1^9+25231360*(325020-7278*n+30*n^2)*p3^2*p1^6+212889600*(-\
13573440+247050*n-810*n^2)*p4*p2^4+2027520*(-93200+2330*n-10*n^2)*p4*p1^8-\
1351680*p3*p2*p1^9+72990720*p3*p2^2*p1^7+11496038400*p3*p2^4*p1^3-1532805120*p3
*p2^3*p1^5-2270822400*p3^2*p2*p1^6-454164480000*p3^3*p2*p1^3+2043740160000*p3^3
*p2^2*p1+51093504000*p3^2*p2^2*p1^4-20692869120*p3*p2^5*p1+623391842304000*p5*
p4^2*p1-844064686080*p5*p4*p1^5+10936280678400*p5*p3^2*p1^3-17510765690880*p5*
p3*p2^3+43236458496*p5*p3*p1^6+1448500838400*p5*p2^4*p1-643778150400*p5*p2^3*p1
^3+64377815040*p5*p2^2*p1^5-2043740160*p5*p2*p1^7+10034196480000*p4^2*p3*p1^3+
8047226880000*p4^2*p2^2*p1^2-894136320000*p4^2*p2*p1^4-25988300800000*p4*p3^3*
p1-20948336640000*p4*p3^2*p2^2-775864320000*p4*p3^2*p1^4-1649049600*p4*p3*p1^7-\
172440576000*p4*p2^4*p1^2+38320128000*p4*p2^3*p1^4-2554675200*p4*p2^2*p1^6+
60825600*p4*p2*p1^8-306561024000*p3^2*p2^3*p1^2+680653762854912*p5^2*p3*p1-\
129785675120640*p5^2*p2*p1^2-1287556300800*p6*p2^2*p1^4+
1776447723337348992860160*n^4-7186295871526797091799040*n^3+
12685425965892425849241600*n^2+13624934400*(10034210195-1848310705/4*n+59325565
/8*n^2-208775/4*n^3+915/8*n^4)*p4*p3*p2*p1+3406233600*(-17606775+668745/2*n-\
2745/2*n^2)*p4*p3*p2^2*p1+2270822400*(5159815-210855/2*n+915/2*n^2)*p4*p3*p2*p1
^3+5449973760*(-23527896+470214*n-2142*n^2)*p5*p3*p2*p1^2+8174960640*(107409015
-3977685/2*n+18585/2*n^2)*p5*p4*p2*p1+9083289600*(106434930-2081709*n+9639*n^2)
*p6*p3*p2*p1-1457562782269440000*p14+15240850636194711306240*n^6-\
221965539040502906880000*n^5+96017940480*n^12-19741318840320*n^11-227082240*n^
13+32699842560*(-923604481800+196856676874/3*n-1378172796*n^2+30154124/3*n^3-\
24310*n^4)*p10+85155840*(-1370815380+60857163*n-955071*n^2+5508*n^3)*p2^5+90112
*(1411380-254713/3*n+1757*n^2-38/3*n^3)*p1^10+40874803200*(-23165963620800+
3177804537908*n-148109686725*n^2+5936159801/2*n^3-55638297/2*n^4+251823/2*n^5-\
429/2*n^6)*p8+10218700800*(8924139920960-2769640447840/3*n+94078403825/3*n^2-\
2804675755/6*n^3+23536975/6*n^4-35175/2*n^5+175/6*n^6)*p4^2+27249868800*(-\
13791195600+391162044*n-1763580*n^2)*p12+504627200/3*(73344000-1330800*n+6000*n
^2)*p3^4+7096320*(2201580-34992*n)*p2^6+54499737600*(-215391704127600+
266306643375311/5*n-56457767030875/12*n^2+384679407007/2*n^3-191984282203/48*n^
4+904594201/20*n^5-7055741/24*n^6+4081/4*n^7-21/16*n^8)*p6+18166579200*(
97158702386856-37191054544489/2*n+89968259962283/72*n^2-311038706651/8*n^3+
187450013573/288*n^4-40601725/6*n^5+6282193/144*n^6-3599/24*n^7+5/32*n^8)*p3^2+
6812467200*(-23518200586944+18380622392901/5*n-849525255747/4*n^2+49711460739/8
*n^3-859525287/8*n^4+46607877/40*n^5-60243/8*n^6+45/2*n^7)*p2^3+40874803200*(
316943596851228-666103622155439/6*n+557455022229953/40*n^2-100383441598469/120*
n^3+876070828651/32*n^4-4334450589/8*n^5+565733839/80*n^6-2474337/40*n^7+10779/
32*n^8-7/8*n^9)*p2^2+13624934400*(19477090488276-53452514552403/10*n+
210122322421099/360*n^2-12265612742383/360*n^3+38504883689/32*n^4-6599301353/
240*n^5+100823999/240*n^6-127621/30*n^7+7585/288*n^8-11/144*n^9)*p1^4+454164480
*(212246908968-167447911203/5*n+78319992487/36*n^2-616907151/8*n^3+118872653/72
*n^4-2621873/120*n^5+12101/72*n^6-7/12*n^7)*p1^6+81749606400*(-630147714978600+
287015264838405*n-422339170792367/9*n^2+521696165877805/144*n^3-21123787293701/
144*n^4+211960569271/64*n^5-25637097107/576*n^6+36661637/96*n^7-197785/96*n^8+
3455/576*n^9-1/192*n^10)*p4+851558400*(-452671800+7680750*n-36750*n^2)*p4^3-\
3214803271680000*p8*p3^2+54499683100262400*p8*p6+13638559334400*p9*p1^5-\
264977724211200*p10*p1^4+59791444122009600*p9*p5-7154398553702400*p10*p2^2+
70749052364390400*p10*p4+15138816000*p3^3*p1^5-450560*p4*p1^10+121205145600000*
p4^2*p3^2-8047226880000*p4^2*p2^3+19869696000*p4^2*p1^6+27033600*p3^2*p1^8+8192
*p3*p1^11+14831318827156930560*n^8-608020425091906928640*n^7+2590694190120960*n
^10-235652849584373760*n^9+26453238349824000*p7^2+6539968512*(287180461260-\
14237330961*n+397914489/2*n^2-1329111*n^3+6615/2*n^4)*p5^2+851558400*(
317399264928-25787468250*n+808141509*n^2-13085046*n^3+114075*n^4-432*n^5)*p2^4+
2048/3*(1092-24*n)*p1^12+8110080*(789564384-239346610/3*n+9722845/3*n^2-202420/
3*n^3+2195/3*n^4-10/3*n^5)*p1^8+163499212800*(-363670317769500+
10486094162819909/30*n-10293503614338511/90*n^2+4942409796590507/288*n^3-\
385976719382897/288*n^4+112532633579851/1920*n^5-8780717602441/5760*n^6+
24311360629/960*n^7-55292491/192*n^8+12991529/5760*n^9-1437/128*n^10+13/480*n^
11)*p2+4541644800*(3129709968-49130928*n+232848*n^2)*p6^2+163499212800*(
186579197563500-3979430485234409/30*n+1503798017290942/45*n^2-17632245973660661
/4320*n^3+400161742080751/1440*n^4-66107709084169/5760*n^5+1759246330451/5760*n
^6-219306519/40*n^7+65481661/960*n^8-10041079/17280*n^9+17923/5760*n^10-23/2880
*n^11)*p1^2+236726422732800*p8*p2^3+92869217589657600*p11*p3+4119199167283200*
p11*p1^3+103464345600*p4*p2^5-3027763200000*p3^4*p2+1009254400000*p3^4*p1^2+
229920768000*p3^2*p2^4+7210315284480*p5^2*p1^4+88168464384000*p5*p3^3+18923520*
p5*p1^9+93884313600000*p4^3*p2-31294771200000*p4^3*p1^2+194678512680960*p5^2*p2
^2-2153080258560000*p6*p4^2-5794003353600*p6*p2^4-681246720*p6*p1^8-\
2033308910223360*p5^2*p4+21410611200*p7*p1^7-3172538725171200*p6^2*p2+
1057512908390400*p6^2*p1^2-584509685760*p8*p1^6+374107780782489600*p13*p1+
144171970854912000*p12*p2-48057323618304000*p12*p1^2
[3, 3, 3, 3, 3, 3, 3]
-52378824960*p7*p1^3+1163251697877042480*n-177770557440*p5*p3*p1^2+8332994880*
p5*p2*p1^3-66134880000*p3^3*p1+462944160*p6*p1^4+3306744000*p4*p3*p1^3-\
124002900*p4*p2*p1^4+13778100000*p3^2*p2*p1^2+18187092000*p8*p3*p1-661348800*p3
*p2^2*p1^3-1364031900*p8*p2*p1^2+688905/4*(401120-10680*n+120*n^2)*p4*p2^2*p1^2
+787320*(31776360-1142064*n+11088*n^2)*p7*p2*p1+612360*(19363680-336000*n+3360*
n^2)*p6*p3*p1+524880*(-380041200+15107400*n-138600*n^2)*p7*p3+459270*(-\
513747780+29948800*n-791770*n^2+11200*n^3-70*n^4)*p6*p4+229635*(127536360-\
8988000*n+273476*n^2-4256*n^3+28*n^4)*p6*p2^2+688905/4*(124950000-8202590*n+
242555*n^2-3750*n^3+25*n^4)*p4^2*p2+688905/4*(-1261280+27900*n-300*n^2)*p4^2*p1
^2+153090*(54734400-1363500*n+13500*n^2)*p4*p3^2+8266860*p2^3*p1^4+229635/16*(-\
123008+4080*n-48*n^2)*p2^4*p1^2+275562*(-7066080+244440*n-2520*n^2)*p5*p2^2*p1+
1574640*(-7529727744+672273294*n-20150592*n^2+268884*n^3-1386*n^4)*p7*p1+918540
*(-17183251820+5983650428/3*n-286585481/3*n^2+8009260/3*n^3-46970*n^4+490*n^5-7
/3*n^6)*p6*p2+918540*(723098796-39670064*n+706118*n^2-7392*n^3+42*n^4)*p6*p1^2+
734832*(-17844435000+1691552520*n-53878860*n^2+733320*n^3-3780*n^4)*p5*p3+
1224720*(-134980560+4909905*n-45045*n^2)*p9*p1+688905*(-478703016+32869815*n-\
1853511/2*n^2+13431*n^3-165/2*n^4)*p8*p2+688905*(6778200-98406*n+990*n^2)*p8*p1
^2+2204496*(-141828074640+24513915825*n-3031622685/2*n^2+181198185/4*n^3-\
2984625/4*n^4+26775/4*n^5-105/4*n^6)*p5*p1+1377810*(-250015979952+96166590395/2
*n-87490005443/24*n^2+1256605117/8*n^3-441350165/96*n^4+1146295/12*n^5-21935/16
*n^6+295/24*n^7-5/96*n^8)*p4*p2+1377810*(22582198800-2739334514*n+230979775/2*n
^2-9821565/4*n^3+132325/4*n^4-1155/4*n^5+5/4*n^6)*p4*p1^2+612360*(-2430594432+
184012380*n-4322250*n^2+52380*n^3-270*n^4)*p3*p1^3+688905*(-5047425792+
577825204*n-26636733*n^2+1378973/2*n^3-22373/2*n^4+219/2*n^5-1/2*n^6)*p2^2*p1^2
+229635*(236847264-15504714*n+383985*n^2-4914*n^3+27*n^4)*p2*p1^4+3674160*(-\
799276897728+257133666867*n-118985799379/4*n^2+6678724073/4*n^3-840725493/16*n^
4+2035015/2*n^5-99645/8*n^6+365/4*n^7-5/16*n^8)*p3*p1+229635/2*(2456640-54540*n
+540*n^2)*p4*p1^4+688905/2*(4551508880-1513821488/3*n+75471485/3*n^2-4541945/6*
n^3+28835/2*n^4-325/2*n^5+5/6*n^6)*p4*p2^2+367416*(-46297440+1236060*n-11340*n^
2)*p5*p1^3+459270*(-1601936+31584*n-336*n^2)*p6*p2*p1^2+551124*(25905600-636300
*n+6300*n^2)*p5*p4*p1+229635/4*(-33982800+2564380*n-84670*n^2+1420*n^3-10*n^4)*
p4*p2^3+76545*(-14830560+523800*n-5400*n^2)*p3^2*p2^2+367416*(82353600-3114720*
n+30240*n^2)*p5*p3*p2-701558807040*p11*p1-945728784000*p9*p3+229635*(1476720-\
48160*n+560*n^2)*p6*p4*p2+688905/2*(-5167800+150810*n-1650*n^2)*p8*p4+688905/4*
(1647360-57684*n+660*n^2)*p8*p2^2-1047576499200*p7*p5+1837080*(39642772080-\
5500771372*n+287064904*n^2-7855475*n^3+127155*n^4-1185*n^5+5*n^6)*p3*p2*p1+
459270*(-371030976+26381880*n-732180*n^2+10200*n^3-60*n^4)*p3*p2^2*p1+306180*(
7777440-222480*n+2160*n^2)*p3*p2*p1^3+918540*(1698686640-105020700*n+2245650*n^
2-26700*n^3+150*n^4)*p4*p3*p1+688905*(-155556600+8761450*n-197045*n^2+2490*n^3-\
15*n^4)*p4*p2*p1^2+2755620*(190271400832-273339151777/6*n+95739167425/24*n^2-\
4261173989/24*n^3+153966385/32*n^4-349485/4*n^5+51763/48*n^6-67/8*n^7+1/32*n^8)
*p2*p1^2+306180*(3726528480-302467770*n+8931465*n^2-122850*n^3+675*n^4)*p3^2*p2
+1102248*(1857648660-145705770*n+4204305*n^2-57330*n^3+315*n^4)*p5*p2*p1+306180
*(-93342240+2452500*n-22500*n^2)*p3^2*p1^2+229635/2*(36517632-2389460*n+65666*n
^2-948*n^3+6*n^4)*p2^3*p1^2+76545*(1310400-43680*n+480*n^2)*p3*p2^3*p1+229635/4
*(-700128+20952*n-216*n^2)*p2^2*p1^4+275562000*p3^2*p2^3+688905/16*(-441120+
16200*n-200*n^2)*p4^2*p2^2+76545/2*(-485856+18368*n-224*n^2)*p6*p2^3+
77774618880*p5^2*p2+15431472000*p6*p3^2+551124*(-5791500+186186*n-2002*n^2)*p10
*p2+6620101488*p10*p1^2+229635/32*(149760-6160*n+80*n^2)*p4*p2^4+275562*p2^5*p1
^2+154314720*p6*p2^2*p1^2-128595600*p6*p4*p2^2+1136693250*p8*p4*p2-18370800*p3*
p2^4*p1-13778100*p4*p2^3*p1^2+462944160*p5*p2^3*p1-8729804160*p7*p2^2*p1-\
771573600*p6*p4*p1^2-1984046400*p3*p1^5-1377810000*p4^2*p3*p1-11110659840*p5*p3
*p2^2+55553299200*p5*p4*p3+459270*(-4528800+114000*n-1200*n^2)*p4*p3*p2*p1-\
4115059200*p6*p3*p2*p1+103335750*p4^2*p2*p1^2-6944162400*p5*p4*p2*p1+551124000*
p4*p3*p2^2*p1+49601160*p2*p1^6+25924872960*p6*p5*p1-4133430000*p4*p3^2*p2+
43649020800*p7*p4*p1+110335024800*p9*p2*p1+145496736000*p7*p3*p2-\
4418182439890969365/16*n^4+4549941388385242731/4*n^3-2056994187288001497*n^2+
61033046400*p14-564495232035591/128*n^8+15994319727957795/128*n^7+
15571319148567/128*n^9+5765935833/128*n^11-71049069/128*n^12+1102248/5*(-\
468720000+19227600*n-176400*n^2)*p5^2-2187/128*n^14+566433/128*n^13+1377810*(
56457738480-7500028327*n+1491794623/4*n^2-78672847/8*n^3+1284459/8*n^4-12441/8*
n^5+55/8*n^6)*p8+688905/2*(-19950224000+6310181060/3*n-544292395/6*n^2+28880905
/12*n^3-165515/4*n^4+1725/4*n^5-25/12*n^6)*p4^2+229635/8*(-1121886080+398573120
/3*n-21949910/3*n^2+726985/3*n^3-5027*n^4+61*n^5-1/3*n^6)*p2^4+1837080*(
654612678720-310353868567/2*n+41251813001/3*n^2-1883217007/3*n^3+283019737/16*n
^4-2051693/6*n^5+36197/8*n^6-112/3*n^7+7/48*n^8)*p6+15309/64*(-51840+2336*n-32*
n^2)*p2^6+612360*(-265506292800+47500777080*n-6113197035/2*n^2+378989505/4*n^3-\
6356745/4*n^4+57375/4*n^5-225/4*n^6)*p3^2+459270*(-23101558272+3621157224*n-\
378945219/2*n^2+18405225/4*n^3-267633/4*n^4+2295/4*n^5-9/4*n^6)*p1^4+153090*(-\
5181120+142688*n-1568*n^2)*p6^2+2755620*(2335036354560-2034726899353/2*n+
3889664028005/24*n^2-1232835645991/96*n^3+14311031993/24*n^4-7130014217/384*n^5
+54385123/128*n^6-1391305/192*n^7+16955/192*n^8-265/384*n^9+1/384*n^10)*p4+
4286520*p6*p2^4-229635*p4*p2^5+5740875*p4^2*p2^3-28704375*p4^3*p2-\
165025602734801697/64*n^6+1115244970017232635/32*n^5+1102248*(1784742960-\
250261297/2*n+12939927/4*n^2-87087/2*n^3+1001/4*n^4)*p10-340707107223/128*n^10+
45927/16*(9818880-822456*n+29708*n^2-536*n^3+4*n^4)*p2^5+229635/8*(1310400-\
42500*n+500*n^2)*p4^3+2187*p2^7+15309*(-5922720+176580*n-1620*n^2)*p1^6+229635*
(67669344000-11748234137*n+10636355531/12*n^2-492803143/12*n^3+21129451/16*n^4-\
180923/6*n^5+3779/8*n^6-55/12*n^7+1/48*n^8)*p2^3+5511240*(-739627622400+
948439427265/2*n-2503379757583/24*n^2+1031085732485/96*n^3-9577658911/16*n^4+
7710008519/384*n^5-283532649/640*n^6+1296343/192*n^7-13633/192*n^8+61/128*n^9-1
/640*n^10)*p1^2+5511240*(1587245772800-14695752518887/10*n+66819381366895/144*n
^2-39606470482571/576*n^3+6479667592891/1152*n^4-3332632217141/11520*n^5+
48673789931/4608*n^6-3427739411/11520*n^7+152051359/23040*n^8-259679/2304*n^9+
2147/1536*n^10-43/3840*n^11+1/23040*n^12)*p2+1377810*(-1097883152640+
371643585318*n-95213350753/2*n^2+156571051295/48*n^3-6989010229/48*n^4+
916210177/192*n^5-114360769/960*n^6+214633/96*n^7-2873/96*n^8+49/192*n^9-1/960*
n^10)*p2^2+480090240*p6^2*p2+321489000*p6*p4^2-4243654800*p8*p6-75779550*p8*p2^
3-11367851040*p12*p2-5516751240*p10*p4+1103350248*p10*p2^2+918540*(21162960-\
610844*n+6188*n^2)*p12
[3, 3, 3, 3, 3, 3, 2, 2]
-24162207705938534400*n+699840*(-2779058620080+831412685375/2*n-96126731097/4*n
^2+6134783775/8*n^3-259562967/16*n^4+1956563/8*n^5-10481/4*n^6+73/4*n^7-1/16*n^
8)*p3*p2*p1+262440*(17713351120-3995812684/3*n+256648625/6*n^2-10069445/12*n^3+
44475/4*n^4-385/4*n^5+5/12*n^6)*p4*p2*p1^2+419904*(-148558807320+26736982615/2*
n-484106105*n^2+80884895/8*n^3-1082445/8*n^4+8925/8*n^5-35/8*n^6)*p5*p2*p1+
349920*(-152965004550+24314595511/2*n-1486723565/4*n^2+6669790*n^3-317145/4*n^4
+1245/2*n^5-5/2*n^6)*p4*p3*p1+174960*(30058956672-2484743195*n+177635257/2*n^2-\
1914196*n^3+53949/2*n^4-237*n^5+n^6)*p3*p2^2*p1-327525120*p3*p2*p1^5+116640*(-\
1683844452+98150310*n-2313054*n^2+27936*n^3-144*n^4)*p3*p2*p1^3+9447840*p1^8+
6998400*p4*p3*p2^3*p1+43740*(-1005240+22800*n-240*n^2)*p4*p3*p2^2*p1+104976*(
5105100-106050*n+1050*n^2)*p5*p4*p2*p1+116640*(3998064-67200*n+672*n^2)*p6*p3*
p2*p1-13050616320*p5*p3*p2*p1^2+174960*(552582540-23983170*n+474120*n^2-5340*n^
3+30*n^4)*p4*p3*p2*p1-1708925299200*p14+87480*(-35167589136+3474539607*n-\
278531943/2*n^2+6346797/2*n^3-45111*n^4+765/2*n^5-3/2*n^6)*p2*p1^4+1399680*(
48699615474216-129840859729995/8*n+62986017583599/32*n^2-3772867864163/32*n^3+
523588197177/128*n^4-5994048491/64*n^5+248595077/160*n^6-308717/16*n^7+22381/
128*n^8-67/64*n^9+1/320*n^10)*p3*p1+1049760*(-12577537499424+6483072987497/2*n-\
2502817010497/8*n^2+502855153485/32*n^3-11856268313/24*n^4+1413783343/128*n^5-\
360353209/1920*n^6+473581/192*n^7-1549/64*n^8+61/384*n^9-1/1920*n^10)*p2*p1^2+
131220*(-254102035320+24434331018*n-956830905*n^2+21221560*n^3-296285*n^4+2510*
n^5-10*n^6)*p4*p2^2+43740*(-860851560+40723230*n-787335*n^2+8550*n^3-45*n^4)*p4
*p1^4+116640*(-248018054310+21492158358*n-1480455465/2*n^2+14699877*n^3-378333/
2*n^4+1530*n^5-6*n^6)*p3^2*p2+116640*(15469939422-929779047*n+41795469/2*n^2-\
240093*n^3+2331/2*n^4)*p3^2*p1^2+11664*(57486420-1614600*n+14040*n^2)*p3*p1^5+
43740*(-3661268560+887439448/3*n-32764555/3*n^2+1504693/6*n^3-7651/2*n^4+73/2*n
^5-1/6*n^6)*p2^3*p1^2+21870*(187416336-10725540*n+259710*n^2-3276*n^3+18*n^4)*
p2^2*p1^4+2916*(-6002640+176580*n-1620*n^2)*p2*p1^6+839808*(9563243913846-\
14183177103095/8*n+3880144472505/32*n^2-134962774275/32*n^3+11492865195/128*n^4
-10474205/8*n^5+850535/64*n^6-2765/32*n^7+35/128*n^8)*p5*p1+524880*(
15175796001156-11455407210985/4*n+9713091706025/48*n^2-356889124495/48*n^3+
10834701945/64*n^4-15646055/6*n^5+880405/32*n^6-8845/48*n^7+115/192*n^8)*p4*p2+
524880*(-1832047083636+3180939361301/12*n-690293434735/48*n^2+19951522801/48*n^
3-1505190605/192*n^4+638815/6*n^5-102905/96*n^6+355/48*n^7-5/192*n^8)*p4*p1^2+
233280*(273988208736-61777034643/2*n+5245931589/4*n^2-59213301/2*n^3+1627659/4*
n^4-3276*n^5+12*n^6)*p3*p1^3+262440*(413626743336-320496042439/6*n+22859923941/
8*n^2-723518515/8*n^3+63336051/32*n^4-95201/3*n^5+17653/48*n^6-67/24*n^7+1/96*n
^8)*p2^2*p1^2+139968*(9227964060-1126861155/2*n+50775165/4*n^2-292005/2*n^3+
2835/4*n^4)*p5*p1^3-259815600*p8*p1^4+19683000*p4^2*p1^4+65610*(-74119320+
2066592*n-18480*n^2)*p8*p2^2+30023136000*p9*p1^3+839808/7*(303121350-5071500*n+
44100*n^2)*p7*p5+155520*(244188945-4440150*n+38610*n^2)*p9*p3+131220*(300069000
-5935710*n+51150*n^2)*p8*p4+4199040/11*(125561436-2762760*n+24024*n^2)*p11*p1+
209952*(332281950-9509500*n+80080*n^2)*p10*p2+209952*(-8362354+105105*n-1001*n^
2)*p10*p1^2+43740*(3130860-59400*n+600*n^2)*p4^2*p3*p1+32805*(-414560+9300*n-\
100*n^2)*p4^2*p2*p1^2+692841600*p8*p3*p2*p1+174960*(-16894350+208692*n-1980*n^2
)*p8*p3*p1+131220*(2042040-32802*n+330*n^2)*p8*p2*p1^2+1049760/7*(-23259180+
449400*n-4200*n^2)*p7*p4*p1+699840/7*(-53287920+1098720*n-10080*n^2)*p7*p3*p2+
38880*(-30426480+427392*n-4032*n^2)*p6*p3^2+233280*(-29240640+701415*n-6435*n^2
)*p9*p2*p1+14580*(16145136-444752*n+4256*n^2)*p6*p2^3+209952/5*(-61012350+
1201725*n-11025*n^2)*p5^2*p2+39813197760*p5^2*p1^2+32805/2*(13403760-327200*n+
3200*n^2)*p4^2*p2^2+4723920*p2^2*p1^6+17496*(-1527960+40740*n-420*n^2)*p5*p2^3*
p1+139968*(-21200340+311640*n-2940*n^2)*p6*p5*p1+87480*(-63101640+1343720*n-\
12320*n^2)*p6*p4*p2-23619600*p4*p1^6+87480*(1520120-27440*n+280*n^2)*p6*p4*p1^2
+43740*(-509936+10528*n-112*n^2)*p6*p2^2*p1^2+69984*(-38143350+674100*n-6300*n^
2)*p5*p4*p3+1984046400*p5*p1^5+2187/4*(-43904+1360*n-16*n^2)*p2^5*p1^2+34992*(
11326140-259560*n+2520*n^2)*p5*p3*p2^2+262440*p2^4*p1^4+139968*(209892690-\
5361300*n+46620*n^2)*p5*p3*p1^2+104976*(678793500-35007105*n+1576575/2*n^2-9555
*n^3+105/2*n^4)*p5*p2^2*p1+69984*(-22530060+618030*n-5670*n^2)*p5*p2*p1^3+58320
*(-14567580+308160*n-2880*n^2)*p4*p3*p1^3+65610*(-64392120+2995690*n-66355*n^2+
830*n^3-5*n^4)*p4*p2^2*p1^2+21870*(1622040-36360*n+360*n^2)*p4*p2*p1^4+58320*(-\
37151136+1016316*n-9324*n^2)*p3^2*p2*p1^2+29160*(-128949336+6706404*n-158736*n^
2+2040*n^3-12*n^4)*p3*p2^3*p1+29160*(4169880-118656*n+1152*n^2)*p3*p2^2*p1^3+
4199040/7*(595523373648-124077325603/2*n+9525289949/4*n^2-48360487*n^3+2458533/
4*n^4-9555/2*n^5+35/2*n^6)*p7*p1+349920*(1053901441110-115954124713*n+
9714699981/2*n^2-217356405/2*n^3+2928527/2*n^4-23121/2*n^5+42*n^6)*p6*p2+349920
*(-81894465562+19884663484/3*n-1210239149/6*n^2+10248434/3*n^3-37835*n^4+287*n^
5-7/6*n^6)*p6*p1^2+279936*(1192339627605-480216025695/4*n+34638321165/8*n^2-\
80914470*n^3+7646625/8*n^4-28665/4*n^5+105/4*n^6)*p5*p3+466560*(13980904938-\
3046206735/4*n+122464485/8*n^2-662805/4*n^3+6435/8*n^4)*p9*p1+262440*(
28703572128-3584788515/2*n+167702205/4*n^2-958485/2*n^3+9075/4*n^4)*p8*p2+
262440*(-1372598568+110199309/2*n-3400155/4*n^2+15411/2*n^3-165/4*n^4)*p8*p1^2+
1399680/7*(28802670498-1444600080*n+25816140*n^2-259560*n^3+1260*n^4)*p7*p3+
699840/7*(108484488-2782080*n+24192*n^2)*p7*p1^3+174960*(32940190710-1668472470
*n+30445135*n^2-309330*n^3+1505*n^4)*p6*p4+87480*(-6464475108+374187996*n-\
8619674*n^2+101668*n^3-518*n^4)*p6*p2^2+29160*(7367400-145440*n+1440*n^2)*p4*p3
^2*p2+29160*(-6800640+106848*n-1008*n^2)*p6*p1^4+10935*(136160-3560*n+40*n^2)*
p4*p2^3*p1^2+65610*(-6437982600+323239875*n-13217025/2*n^2+74225*n^3-775/2*n^4)
*p4^2*p2+65610*(262446360-9843125*n+385455/2*n^2-2175*n^3+25/2*n^4)*p4^2*p1^2+
58320*(-4888479330+189820260*n-3363480*n^2+34200*n^3-180*n^4)*p4*p3^2+21870*(
1346781960-75734370*n+1802035*n^2-22590*n^3+125*n^4)*p4*p2^3+25920*(337632300-\
8569800*n+74520*n^2)*p3^3*p1+29160*(1059791364-51647616*n+1110888*n^2-13104*n^3
+72*n^4)*p3^2*p2^2+3645*(311088-8736*n+96*n^2)*p3*p2^4*p1+10935/2*(16077312-\
880308*n+22638*n^2-316*n^3+2*n^4)*p2^4*p1^2+2099520/7*(-3161693808+165442410*n-\
3546900*n^2+40740*n^3-210*n^4)*p7*p2*p1+3645*(-480336+13968*n-144*n^2)*p2^3*p1^
4+10935/4*(-3495360+100880*n-1040*n^2)*p4*p2^4+233280*(-2742004692+106688232*n-\
1697808*n^2+15792*n^3-84*n^4)*p6*p3*p1+174960*(297914148-12489960*n+229530*n^2-\
2464*n^3+14*n^4)*p6*p2*p1^2+209952*(-3123136800+260408925/2*n-9550275/4*n^2+
49875/2*n^3-525/4*n^4)*p5*p4*p1+139968*(-5869177650+284230485*n-5598180*n^2+
61110*n^3-315*n^4)*p5*p3*p2+524880/7*(6791736-173040*n+1680*n^2)*p7*p2^2*p1+
4791104640*p3^2*p1^4+4860*(-2218608+55872*n-576*n^2)*p3^2*p2^3-2718878400*p4*p3
^2*p1^2-7873200*p4*p2^2*p1^4-3863116800*p3^3*p2*p1+543775680*p3^2*p2^2*p1^2-\
22394880*p3*p2^3*p1^3-4837294080*p7*p2*p1^3-1254113280*p6*p3*p1^3+58786560*p6*
p2*p1^4-1984046400*p5*p4*p1^3+69662073600*p5*p3^2*p1+396809280*p5*p2^2*p1^3+
80520791040*p7*p3*p1^2-139968*p3*p2^5*p1+3280500*p4^2*p2^2*p1^2+3674160*p5*p2^4
*p1-41990400*p4*p3^2*p2^2+275562000*p5*p4^2*p1-58786560*p5*p3*p2^3+1102248000*
p6*p4*p2^2+313528320*p6*p3^2*p2+3265920*p6*p2^3*p1^2-10581580800*p7*p5*p2-\
5038848000*p7*p4*p3+335923200*p4*p3*p2*p1^3+1007769600*p7*p3*p2^2-83980800*p7*
p2^3*p1-3292047360*p6*p5*p3-3362591232*p10*p3*p1-52488000*p4^2*p3*p2*p1+
420323904*p10*p2*p1^2-110224800*p5*p4*p2^2*p1-7505784000*p9*p4*p1-12009254400*
p9*p3*p2+881798400*p5*p4*p3*p2+1501156800*p9*p2^2*p1-48988800*p6*p4*p2*p1^2-\
3637418400*p8*p5*p1-78382080*p6*p3*p2^2*p1-13640319000*p8*p4*p2+391910400*p6*p4
*p3*p1+216513000*p8*p4*p1^2-43302600*p8*p2^2*p1^2-4702924800*p7*p6*p1+823011840
*p6*p5*p2*p1-18341406720*p11*p2*p1+1259712000*p7*p4*p2*p1+5038848000*p3^4-\
218700*p4*p2^4*p1^2+1040066552109177/16*n^8-35335660787011737/16*n^7+
357064148241/16*n^10-22165672623381/16*n^9+42824386067530007520*n^2+39910563/16
*n^12-4392536283/16*n^11+729/16*n^14-241299/16*n^13+30233088000*p7^2+2099520*(-\
88788406425600+827637874221261/10*n-2517558744004441/96*n^2+493266653076583/128
*n^3-233385000456751/768*n^4+109506085711547/7680*n^5-1344901641491/3072*n^6+
14688793579/1536*n^7-479969959/3072*n^8+2976733/1536*n^9-54377/3072*n^10+55/512
*n^11-1/3072*n^12)*p2+10935*(52052808288-4943073352*n+202569450*n^2-4874691*n^3
+74707*n^4-693*n^5+3*n^6)*p2^4+349920*(-1481407200+42666260*n-340340*n^2)*p12+
11510037459845824365/2*n^4-23750581007918145330*n^3+699840*(-39668899790520+
37823624743737/4*n-9928656174731/12*n^2+857472852761/24*n^3-28314724235/32*n^4+
83332571/6*n^5-2256051/16*n^6+20909/24*n^7-245/96*n^8)*p6+10935*(-49442400+
1017500*n-9500*n^2)*p4^3+2099520*(42463562444800-139858051787888/5*n+
1840787031437485/288*n^2-799656766127417/1152*n^3+95942434794691/2304*n^4-\
35629209607751/23040*n^5+1823159433571/46080*n^6-3496691839/4608*n^7+524698759/
46080*n^8-618401/4608*n^9+18323/15360*n^10-11/1536*n^11+1/46080*n^12)*p1^2+729/
8*(901440-29120*n+320*n^2)*p2^6+2187/2*(-293181120+17759196*n-466346*n^2+6388*n
^3-38*n^4)*p2^5-3123036000*p6*p4^2+91445760*p6^2*p1^2-36085500*p4^2*p2^3-\
5212408320*p6^2*p2+1180980*p4*p2^5+213232500*p4^3*p2-5467500*p4^3*p1^2+
104976000*p4^2*p3^2+1399680*p3^2*p2^4+2916*p2^6*p1^2-8748*p2^7+1049760*(-\
135517649248800+118923764163855/2*n-75660105216951/8*n^2+70213524889637/96*n^3-\
189462932921/6*n^4+324683915279/384*n^5-5876821219/384*n^6+37450375/192*n^7-\
334145/192*n^8+1285/128*n^9-11/384*n^10)*p4+131220*(1271180790600-128588556920*
n+9396795105/2*n^2-360485005/4*n^3+4368305/4*n^4-33475/4*n^5+125/4*n^6)*p4^2+
87480*(-3917418274008+1253095111233/2*n-965368241743/24*n^2+34940908445/24*n^3-\
1106561075/32*n^4+3452789/6*n^5-106863/16*n^6+1187/24*n^7-17/96*n^8)*p2^3+
233280*(16575830365752-12161225950773/4*n+1622743317675/8*n^2-13534587531/2*n^3
+546171057/4*n^4-7562931/4*n^5+18516*n^6-237/2*n^7+3/8*n^8)*p3^2+174960*(
1951800076704-771767572177/2*n+228921769729/8*n^2-8812502849/8*n^3+834972243/32
*n^4-1661607/4*n^5+71251/16*n^6-237/8*n^7+3/32*n^8)*p1^4+524880*(64389766583520
-43435332848811/2*n+21568928553879/8*n^2-4062524300851/24*n^3+203563979933/32*n
^4-7752325045/48*n^5+713137553/240*n^6-121822/3*n^7+38567/96*n^8-125/48*n^9+1/
120*n^10)*p2^2+5832*(2223680976-146218905*n+7037955/2*n^2-41715*n^3+405/2*n^4)*
p1^6+419904*(-118956998160+33379885539/4*n-1595586993/8*n^2+8905897/4*n^3-79079
/8*n^4)*p10+419904/5*(33855636150-6687158625/4*n+231249375/8*n^2-1135575/4*n^3+
11025/8*n^4)*p5^2+58320*(309123360-5053664*n+43904*n^2)*p6^2-2314720800*p5^2*p4
+462944160*p5^2*p2^2+73365626880*p11*p3+91420449120*p10*p4-17023118112*p10*p2^2
+63048585600*p9*p5+60623640000*p8*p6-1385683200*p8*p3^2+822749400*p8*p2^3+
113928353280*p13*p1+240348850560*p12*p2-2165304960*p12*p1^2+524880*(-\
3585005424000+477784501755*n-91915410147/4*n^2+4351063629/8*n^3-58719837/8*n^4+
442827/8*n^5-1485/8*n^6)*p8-31842720*p6*p2^4-2859878555998609905/4*n^5+
403987146825422025/8*n^6
[3, 3, 3, 3, 3, 2, 2, 2, 2]
526225716206790082560*n-1410877440*p7*p1^5+50128475443200*p14+233280*p2^3*p1^6-\
5800273920*p5*p3*p1^4+2099520*p2*p1^8+13063680*p6*p1^6+235146240*p5*p2*p1^5+
102643200*p4*p3*p1^5-3499200*p4*p2*p1^6-3269652480*p3^3*p1^3+93312*(-103086900+
2296980*n-18900*n^2)*p5*p3*p2^2+46656*(15981280-395710*n+3430*n^2)*p5*p2^3*p1+
46656*(-1046640+22890*n-210*n^2)*p5*p2^2*p1^3+233280*(573096440-11390260*n+
88060*n^2)*p6*p4*p2+233280*(-38504480+693980*n-5740*n^2)*p6*p4*p1^2+103680*(
3009720-37632*n+336*n^2)*p6*p3*p1^3+116640*(9685088-227864*n+1960*n^2)*p6*p2^2*
p1^2+38880*(-416024+5936*n-56*n^2)*p6*p2*p1^4+186624*(458633700-8457750*n+66150
*n^2)*p5*p4*p3+1866240/7*(-35209440+609840*n-5040*n^2)*p7*p3*p1^2+1399680/7*(-\
80666712+1978200*n-15960*n^2)*p7*p2^2*p1+933120/7*(4862172-96600*n+840*n^2)*p7*
p2*p1^3+373248*(373364320-6518470*n+50470*n^2)*p6*p5*p1+2799360/7*(365195880-\
6789300*n+52500*n^2)*p7*p4*p1+1866240/7*(545870640-11600400*n+89040*n^2)*p7*p3*
p2+502951680*p3^2*p2*p1^4+58320*(-66465020+2625495*n-93615/2*n^2+475*n^3-5/2*n^
4)*p4*p2*p1^4+155520*(521098200-19436745*n+321840*n^2-3030*n^3+15*n^4)*p4*p3*p1
^3+622080*(39923361800-1882522278*n+33461806*n^2-318500*n^3+1372*n^4)*p6*p3*p1+
466560*(-5132238636+253655710*n-5050962*n^2+52290*n^3-238*n^4)*p6*p2*p1^2+
559872*(42917948500-1970760400*n+34138650*n^2-321650*n^3+1400*n^4)*p5*p4*p1+
373248*(57748692330-5528247795/2*n+102670785/2*n^2-504000*n^3+2205*n^4)*p5*p3*
p2+373248*(-4827811800+408058665/2*n-3563490*n^2+34335*n^3-315/2*n^4)*p5*p3*p1^
2+279936*(-7814640820+398486725*n-16416715/2*n^2+87115*n^3-805/2*n^4)*p5*p2^2*
p1+186624*(615653430-54756345/2*n+2084775/4*n^2-10815/2*n^3+105/4*n^4)*p5*p2*p1
^3+5598720/7*(38911938072-2119092507*n+43571577*n^2-442680*n^3+1890*n^4)*p7*p2*
p1+38880*(-1433136+31392*n-288*n^2)*p3^2*p2^2*p1^2+9720*(-3094688+81008*n-752*n
^2)*p3*p2^4*p1+12960*(211800-4944*n+48*n^2)*p3*p2^3*p1^3+29160*(-1999640+49820*
n-460*n^2)*p4*p2^3*p1^2+14580*(102800-2020*n+20*n^2)*p4*p2^2*p1^4+34560*(
9676800-198720*n+1728*n^2)*p3^3*p2*p1+116640*(-52896800+996300*n-8300*n^2)*p4^2
*p3*p1+87480*(7916840-165050*n+1450*n^2)*p4^2*p2*p1^2+77760*(-84509880+1766640*
n-14640*n^2)*p4*p3^2*p2+77760*(4959840-81360*n+720*n^2)*p4*p3^2*p1^2+93312*(
3586800-59325*n+525*n^2)*p5*p4*p1^3+124416*(-50175720+914760*n-7560*n^2)*p5*p3^
2*p1+9331200*p4*p3*p2^2*p1^3-111974400*p4*p3^2*p2*p1^2-211507200*p4*p3*p2^3*p1+
2006208000*p4^2*p3*p2*p1-235146240*p5*p3*p2^2*p1^2+1881169920*p5*p3^2*p2*p1+
3429216000*p5*p4*p2^2*p1-97977600*p5*p4*p2*p1^3+1175731200*p5*p4*p3*p1^2-\
25866086400*p5*p4*p3*p2-38773002240*p6*p5*p2*p1-21250252800*p6*p4*p3*p1+
2743372800*p6*p4*p2*p1^2+3622993920*p6*p3*p2^2*p1-69672960*p6*p3*p2*p1^3-\
43670016000*p7*p4*p2*p1+2687385600*p7*p3*p2*p1^2-48652876800*p8*p3*p2*p1+622080
*(399956700-20178015/2*n+152295/2*n^2)*p9*p2*p1+466560*(338630160-6648510*n+
51150*n^2)*p8*p3*p1+349920*(-46956360+1082433*n-8745*n^2)*p8*p2*p1^2+1866240*(
28088157537744-13157149315055/3*n+6282731301647/24*n^2-400396284815/48*n^3+
1347538497/8*n^4-112007161/48*n^5+1068553/48*n^6-809/6*n^7+19/48*n^8)*p3*p2*p1+
466560*(-334659552080+84545025629/3*n-5899634863/6*n^2+118281887/6*n^3-249198*n
^4+3809/2*n^5-41/6*n^6)*p3*p2^2*p1+311040*(32668252344-4910117111/2*n+313870249
/4*n^2-1482254*n^3+72189/4*n^4-273/2*n^5+1/2*n^6)*p3*p2*p1^3+699840*(-\
246595984040+20575841357*n-2799319185/4*n^2+108904775/8*n^3-1335555/8*n^4+9945/
8*n^5-35/8*n^6)*p4*p2*p1^2+155520*(850408722-37249806*n+713442*n^2-7416*n^3+36*
n^4)*p3^2*p2*p1^2+77760*(1424087384-72198714*n+1561714*n^2-17672*n^3+88*n^4)*p3
*p2^3*p1+77760*(-113657040+5185218*n-105504*n^2+1164*n^3-6*n^4)*p3*p2^2*p1^3+
15552*(5638680-151800*n+1320*n^2)*p3*p2*p1^5+1119744*(1653170620780-\
931997631005/6*n+135449692175/24*n^2-5335035125/48*n^3+21350595/16*n^4-151865/
16*n^5+1505/48*n^6)*p5*p2*p1+933120*(1806555917480-475927608140/3*n+31501277065
/6*n^2-1135106515/12*n^3+4282325/4*n^4-29735/4*n^5+295/12*n^6)*p4*p3*p1+174960*
(994807720-48564120*n+1013315*n^2-11170*n^3+55*n^4)*p4*p2^2*p1^2+14580*(-321680
+5250*n-50*n^2)*p4^2*p1^4+262440000*p4^3*p1^2-20528640*p3*p2^2*p1^5+103680*(
446565840-8391264*n+65184*n^2)*p6*p3^2+38880*(-120565032+2967048*n-24192*n^2)*
p6*p2^3+559872/5*(579157950-22310925/2*n+172725/2*n^2)*p5^2*p2+559872/5*(-\
38499300+1334025/2*n-11025/2*n^2)*p5^2*p1^2-14838357600*p8*p2^3+1866240/7*(-\
3082479456+137098269*n-2380182*n^2+22890*n^3-105*n^4)*p7*p1^3+466560*(-\
333477224850+50412223190/3*n-280123830*n^2+7551250/3*n^3-10290*n^4)*p6*p4+
233280*(57292557798-9219122528/3*n+62669901*n^2-1920184/3*n^3+2779*n^4)*p6*p2^2
+77760*(333931682-11840304*n+169729*n^2-1400*n^3+7*n^4)*p6*p1^4+93312/5*(-\
30500400+762300*n-6300*n^2)*p5*p1^5+174960*(60081000000-8479228160/3*n+51655745
*n^2-1514950/3*n^3+2225*n^4)*p4^2*p2+174960*(-5047978640+213804680*n-3818215*n^
2+37550*n^3-175*n^4)*p4^2*p1^2+155520*(55095201420-2340984030*n+41382810*n^2-\
396120*n^3+1740*n^4)*p4*p3^2+1458*(493376-13832*n+136*n^2)*p2^5*p1^2+12960*(
19366728-469536*n+4128*n^2)*p3^2*p2^3+7290*(23214560-591280*n+5200*n^2)*p4*p2^4
+43740*(-105579520+2325250*n-19250*n^2)*p4^2*p2^2+58320*(-4334792768+960385700/
3*n-62817037/6*n^2+2473273/12*n^3-10575/4*n^4+85/4*n^5-1/12*n^6)*p2^2*p1^4+1215
*(-31424+776*n-8*n^2)*p2^4*p1^4+1244160*(-178732493940+21839379705/2*n-\
926869515/4*n^2+4592445/2*n^3-36465/4*n^4)*p9*p1+699840*(-272956270356+
16336743775*n-345068064*n^2+3415544*n^3-13695*n^4)*p8*p2+699840*(24771357072-\
1306422348*n+50799177/2*n^2-252153*n^3+2145/2*n^4)*p8*p1^2+3732480/7*(-\
300520355520+15704444700*n-279787200*n^2+2591400*n^3-10500*n^4)*p7*p3+7776*(
313206600-17615505*n+805515/2*n^2-4635*n^3+45/2*n^4)*p2*p1^6+2239488*(-\
93353033498340+108576558829445/6*n-31159002506485/24*n^2+1121550470495/24*n^3-\
31596516525/32*n^4+81052195/6*n^5-5853995/48*n^6+16345/24*n^7-175/96*n^8)*p5*p1
+1399680*(-138738648674472+314486892031175/12*n-87009666596963/48*n^2+
3006472037293/48*n^3-246237993485/192*n^4+208147775/12*n^5-5068715/32*n^6+43675
/48*n^7-485/192*n^8)*p4*p2+1399680*(20305177638984-19451251927187/6*n+
4728949780991/24*n^2-151073784913/24*n^3+12003771505/96*n^4-5064530/3*n^5+
749245/48*n^6-2195/24*n^7+25/96*n^8)*p4*p1^2+622080*(-3682571940024+
992793391595/2*n-105236728961/4*n^2+12267907603/16*n^3-464720187/32*n^4+3075659
/16*n^5-14239/8*n^6+85/8*n^7-1/32*n^8)*p3*p1^3+699840*(-4714220843520+
3895651719749/6*n-869148611795/24*n^2+13753171031/12*n^3-2301085435/96*n^4+
8431777/24*n^5-171769/48*n^6+557/24*n^7-7/96*n^8)*p2^2*p1^2+233280*(
570924930696-827187821483/12*n+164869196539/48*n^2-4754636447/48*n^3+122861035/
64*n^4-635171/24*n^5+24809/96*n^6-79/48*n^7+1/192*n^8)*p2*p1^4+3732480*(-\
437926767919984+449946707682218/3*n-450316290369805/24*n^2+111169564528009/96*n
^3-653436731943/16*n^4+354097807867/384*n^5-1859565205/128*n^6+31752107/192*n^7
-256865/192*n^8+2699/384*n^9-7/384*n^10)*p3*p1+2799360*(120509593997856-\
65474041445801/2*n+13427314523331/4*n^2-11417714516265/64*n^3+370265019081/64*n
^4-98433593717/768*n^5+7955569757/3840*n^6-9550013/384*n^7+27539/128*n^8-311/
256*n^9+13/3840*n^10)*p2*p1^2+58320*(-10910727420+1668131945/3*n-23222595/2*n^2
+376885/3*n^3-1185/2*n^4)*p4*p2^3+3888*(2521200-50850*n+450*n^2)*p4*p1^6+69120*
(-6445180260+266897700*n-4802652*n^2+47088*n^3-216*n^4)*p3^3*p1+77760*(-\
10042174140+479872950*n-9632838*n^2+102048*n^3-480*n^4)*p3^2*p2^2+25920*(-\
45322128+1173942*n-9702*n^2)*p3^2*p1^4+14580*(-204335328+10856368*n-250704*n^2+
3024*n^3-16*n^4)*p2^4*p1^2+9720*(15418664-726414*n+15571*n^2-182*n^3+n^4)*p2^3*
p1^4+1944*(-714720+19620*n-180*n^2)*p2^2*p1^6+11197440/7*(-6520807725432+
730694529173*n-29972014730*n^2+2468015515/4*n^3-29287629/4*n^4+196665/4*n^5-595
/4*n^6)*p7*p1+933120*(-9930332118630+2150614500909/2*n-127672098785/3*n^2+
10258987697/12*n^3-120714013/12*n^4+819343/12*n^5-847/4*n^6)*p6*p2+933120*(
1114543821468-212181034849/2*n+3831305933*n^2-293966757/4*n^3+3440745/4*n^4-\
23891/4*n^5+77/4*n^6)*p6*p1^2+746496*(-11595685770900+1186681732215*n-\
85218840525/2*n^2+6074358045/8*n^3-66190635/8*n^4+437535/8*n^5-1365/8*n^6)*p5*
p3+373248*(-169106169120+27534788855/2*n-3519740945/8*n^2+125894615/16*n^3-\
1434195/16*n^4+10185/16*n^5-35/16*n^6)*p5*p1^3+349920*(2327351284120-\
639353100013/3*n+91398605645/12*n^2-3586622855/24*n^3+43527355/24*n^4-316505/24
*n^5+1075/24*n^6)*p4*p2^2+116640*(22513733720-4699087367/3*n+529927355/12*n^2-\
17389385/24*n^3+62335/8*n^4-445/8*n^5+5/24*n^6)*p4*p1^4+311040*(2405428088910-\
416463122125/2*n+13935324361/2*n^2-130087141*n^3+1529433*n^4-10947*n^5+37*n^6)*
p3^2*p2+311040*(-247203745380+38365791729/2*n-1193019309/2*n^2+10691727*n^3-\
122667*n^4+873*n^5-3*n^6)*p3^2*p1^2+31104*(-2556056880+146398800*n-3251805*n^2+
35970*n^3-165*n^4)*p3*p1^5+116640*(46811901528-3885301535*n+139962905*n^2-\
11880081/4*n^3+160191/4*n^4-1307/4*n^5+5/4*n^6)*p2^3*p1^2+559872000*p7*p4*p1^3-\
10749542400*p7*p3^2*p1-25082265600*p7*p3*p2^2+2239488000*p7*p2^3*p1-111974400*
p7*p2^2*p1^3+149239480320*p6*p5*p3+365783040*p6*p5*p1^3+307929600*p8*p3*p1^3+
3117787200*p8*p2^2*p1^2-19245600*p8*p2*p1^4-17321040000*p8*p4*p1^2+58320*(
1782660-18381*n+165*n^2)*p8*p1^4+2239488/7*(-3266340000+55617450*n-404250*n^2)*
p7*p5+207360*(-22290840+778635/2*n-6435/2*n^2)*p9*p1^3+349920*(-3116813700+
58162335*n-421575*n^2)*p8*p4+174960*(619266780-15607449*n+118305*n^2)*p8*p2^2+
11197440/11*(-1961143184+51199148*n-364364*n^2)*p11*p1+559872*(-3113019910+
166947781/2*n-1182181/2*n^2)*p10*p2+559872*(224860636-10079069/2*n+77077/2*n^2)
*p10*p1^2+414720*(-2863961100+59890545*n-431145*n^2)*p9*p3+6998400*p4*p2^4*p1^2
-194400*p4*p2^3*p1^4-23328000*p4^2*p3*p1^3-131220000*p4^2*p2^2*p1^2+1458000*p4^
2*p2*p1^4+298598400*p4*p3^3*p1+1194393600*p4*p3^2*p2^2+1254113280*p5*p3*p2^3-\
84913920*p5*p2^4*p1+6531840*p5*p2^3*p1^3-21914323200*p6*p4*p2^2-10886400*p6*p4*
p1^4-13934592000*p6*p3^2*p2+418037760*p6*p3^2*p1^2-156764160*p6*p2^3*p1^2+
2177280*p6*p2^2*p1^4-9876142080*p5^2*p3*p1+1234517760*p5^2*p2*p1^2-10777536000*
p5*p4^2*p1+238281523200*p7*p6*p1+272769638400*p7*p5*p2-14108774400*p7*p5*p1^2+
165722112000*p7*p4*p3+766263214080*p11*p2*p1+343731548160*p10*p3*p1-43713686016
*p10*p2*p1^2+306903168000*p9*p4*p1+373621248000*p9*p3*p2-16012339200*p9*p3*p1^2
-49371379200*p9*p2^2*p1+1334361600*p9*p2*p1^3+7464960*p3^2*p2^3*p1^2+3110400*p3
*p2^5*p1-311040*p3*p2^4*p1^3-59719680*p3^3*p2^2*p1-89579520*p3*p1^7-\
2484903472480953/2*n^8+91378532074009293/2*n^7+47273873552145/2*n^9-\
665378922681/2*n^10+7062590151/2*n^11+283095/2*n^13-729/2*n^14-54929907/2*n^12+
258660864000*p8*p5*p1+186624*(7286790-144900*n+1260*n^2)*p5*p3*p2*p1^2+279936*(
-69752200+1425725*n-11725*n^2)*p5*p4*p2*p1+116640*(13052840-297640*n+2600*n^2)*
p4*p3*p2^2*p1+77760*(-715260+12840*n-120*n^2)*p4*p3*p2*p1^3+311040*(-66376688+
1385552*n-11312*n^2)*p6*p3*p2*p1+466560*(-7347584720+339141255*n-6506265*n^2+
66760*n^3-310*n^4)*p4*p3*p2*p1+312356088000*p8*p4*p2-2508226560*p5*p3^3+
69956006400*p5^2*p4+3888*p2^5*p1^4-69984*p2^6*p1^2-4242780000*p4^3*p2+119439360
*p3^4*p2-3825792000*p4^2*p3^2+605070000*p4^2*p2^3+74299680000*p6*p4^2+509483520
*p6*p2^4+94842316800*p8*p3^2-6584094720*p6^2*p1^2+130584545280*p6^2*p2-16562880
*p4*p2^5-28615680*p3^2*p2^4-10287648000*p5^2*p2^2-886837248000*p7^2+93405312*
p10*p1^4-1830025612800*p8*p6-2017554739200*p9*p5+352791863424*p10*p2^2-\
2401450571520*p10*p4-8151736320*p11*p1^3-2934625075200*p11*p3+311803914240*p12*
p1^2-5872307051520*p12*p2-6076178841600*p13*p1+104976*p2^7+
521415860481136682928*n^3-126784361703995992980*n^4+2799360*(1173128386269840-\
6234502177945489/12*n+11960084628719111/144*n^2-3675591176738699/576*n^3+
38462613451085/144*n^4-15363070002577/2304*n^5+249080900189/2304*n^6-1389844865
/1152*n^7+3579365/384*n^8-106625/2304*n^9+29/256*n^10)*p4-1090535911767175437*n
^6+15706106233329169170*n^5+1866240*(358047935465220-86119071516324*n+
180620930404565/24*n^2-7601560707769/24*n^3+702946912283/96*n^4-307307357/3*n^5
+43333759/48*n^6-115003/24*n^7+385/32*n^8)*p6+29160*(468014400-8678250*n+68250*
n^2)*p4^3+5760*(-64955520+1254528*n-10368*n^2)*p3^4+243*(-5162880+145368*n-1368
*n^2)*p2^6+1119744*(1181558037660-500173224551/6*n+3806581779/2*n^2-55655600/3*
n^3+69069*n^4)*p10+1119744/5*(-344811343800+17165528100*n-1114271025/4*n^2+
4935525/2*n^3-40425/4*n^4)*p5^2+466560*(-21933278041696+59235466999145/12*n-\
20753926912769/48*n^2+3891921920747/192*n^3-19110928227/32*n^4+9428409689/768*n
^5-238366883/1280*n^6+811321/384*n^7-6691/384*n^8+73/768*n^9-1/3840*n^10)*p1^4+
5598720*(742473843619200-13950989333920319/20*n+1335852144091901/6*n^2-\
18882718973716013/576*n^3+1472601764803363/576*n^4-1332540486151691/11520*n^5+
2533916746259/768*n^6-10331719699/160*n^7+591854771/640*n^8-22869259/2304*n^9+
179201/2304*n^10-2321/5760*n^11+1/960*n^12)*p2+5598720*(-362603660496000+
1221422743483912/5*n-460015891986149/8*n^2+207380787771647/32*n^3-\
155594794940735/384*n^4+9981628808799/640*n^5-1036870010103/2560*n^6+
29353451339/3840*n^7-839106979/7680*n^8+228073/192*n^9-24217/2560*n^10+191/3840
*n^11-1/7680*n^12)*p1^2+1399680*(33896226283920-4552163343321*n+863147615341/4*
n^2-38369168123/8*n^3+458366095/8*n^4-2961541/8*n^5+8415/8*n^6)*p8+2916*(
2085946080-337766348/3*n+2570742*n^2-90820/3*n^3+154*n^4)*p2^5+15552*(-\
60754991520+6108136800*n-982978365/4*n^2+43229955/8*n^3-572295/8*n^4+4365/8*n^5
-15/8*n^6)*p1^6+349920*(-12278375925200+3743288906210/3*n-132347070590/3*n^2+
1536090475/2*n^3-16478945/2*n^4+326075/6*n^5-1025/6*n^6)*p4^2-\
935517255427544816448*n^2+155520*(-3321188640+54800424*n-398664*n^2)*p6^2+
1399680*(-565283263769280+2303134416793231/12*n-3412018516289009/144*n^2+
831293215685189/576*n^3-7292398051709/144*n^4+2662257431551/2304*n^5-\
215164272463/11520*n^6+254778383/1152*n^7-721195/384*n^8+23951/2304*n^9-109/
3840*n^10)*p2^2+233280*(35503070572728-22117211809811/4*n+16021448955865/48*n^2
-525179374853/48*n^3+44055822427/192*n^4-79660885/24*n^5+3179939/96*n^6-10061/
48*n^7+41/64*n^8)*p2^3+622080*(-152901249288480+28409195522198*n-7605047300767/
4*n^2+62215406270*n^3-9543071115/8*n^4+15343504*n^5-544237/4*n^6+1541/2*n^7-17/
8*n^8)*p3^2+1944/7*(-14988960+457380*n-3780*n^2)*p1^8+29160*(-439084369056+
38425954260*n-4218494765/3*n^2+177607861/6*n^3-2349425/6*n^4+18659/6*n^5-23/2*n
^6)*p2^4+933120*(15480705240-447401682*n+2979522*n^2)*p12
[3, 3, 3, 3, 2, 2, 2, 2, 2, 2]
-933120*p4*p1^8-11989768378051566305280*n-13934592*p3*p2*p1^7+186624*p2^2*p1^8+
559872*p1^10+4976640*(-1745045445+88577775/2*n-589875/2*n^2)*p9*p2*p1+3732480*(
-1693276860+36205290*n-243210*n^2)*p8*p3*p1+2799360*(268196808-6562215*n+46035*
n^2)*p8*p2*p1^2+22394880/7*(-1768091430+33872160*n-229320*n^2)*p7*p4*p1+
14929920/7*(-1970435208+41878200*n-287448*n^2)*p7*p3*p2+77760*(11621192-293664*
n+2432*n^2)*p3*p2^4*p1+276480*(-50431752+1116288*n-8640*n^2)*p3^3*p2*p1+311040*
(8571228-201504*n+1632*n^2)*p3^2*p2^2*p1^2+622080*(-39913980+821760*n-6240*n^2)
*p4*p3^2*p1^2+62208*(-458430+7140*n-60*n^2)*p4*p3*p1^5+233280*(9620560-235190*n
+1910*n^2)*p4*p2^3*p1^2+116640*(-1031840+23880*n-200*n^2)*p4*p2^2*p1^4+15552*(
68640-1130*n+10*n^2)*p4*p2*p1^6+933120*(273712100-5423100*n+39500*n^2)*p4^2*p3*
p1+699840*(-45772200+976850*n-7450*n^2)*p4^2*p2*p1^2+622080*(320784900-6768440*
n+50200*n^2)*p4*p3^2*p2+1492992*(-1803767805+33899740*n-235760*n^2)*p5*p4*p3+
746496*(-34483680+674275*n-5075*n^2)*p5*p4*p1^3+995328*(275842140-5559120*n+
40320*n^2)*p5*p3^2*p1+746496*(353715159-7738850*n+57134*n^2)*p5*p3*p2^2+248832*
(4251135-80010*n+630*n^2)*p5*p3*p1^4+373248*(-61683034+1475901*n-11389*n^2)*p5*
p2^3*p1+373248*(7474782-176120*n+1400*n^2)*p5*p2^2*p1^3+373248/5*(-639030+12705
*n-105*n^2)*p5*p2*p1^5+14929920/7*(249266808-5228160*n+36960*n^2)*p7*p3*p1^2+
11197440/7*(330817158-7943292*n+56868*n^2)*p7*p2^2*p1+7464960/7*(-38879274+
908040*n-6720*n^2)*p7*p2*p1^3+2985984*(-1817795728+32838624*n-223048*n^2)*p6*p5
*p1+1866240*(-2013862620+39483640*n-272860*n^2)*p6*p4*p2+1866240*(255195220-\
4968320*n+35420*n^2)*p6*p4*p1^2+829440*(-34160532+691432*n-5152*n^2)*p6*p3*p1^3
+933120*(-50992172+1213968*n-9156*n^2)*p6*p2^2*p1^2+311040*(5229140-114660*n+
896*n^2)*p6*p2*p1^4+8211456000*p4*p3^2*p2*p1^2-80901504000*p4^2*p3*p2*p1-\
313528320*p5*p3*p2*p1^4+12227604480*p5*p3*p2^2*p1^2-87787929600*p5*p3^2*p2*p1-\
89355571200*p5*p4*p3*p1^2-115104084480*p5*p4*p2^2*p1+7968844800*p5*p4*p2*p1^3+
793331159040*p5*p4*p3*p2-132099932160*p6*p3*p2^2*p1+8825241600*p6*p3*p2*p1^3+
1030463078400*p6*p4*p3*p1-142394112000*p6*p4*p2*p1^2+1473959337984*p6*p5*p2*p1-\
168409497600*p7*p3*p2*p1^2+1621837209600*p7*p4*p2*p1+1999078963200*p8*p3*p2*p1+
5598720*(1078197433802-287995642300/3*n+10095909295/3*n^2-128343275/2*n^3+
4457585/6*n^4-30325/6*n^5+95/6*n^6)*p4*p2*p1^2+3732480*(1273027026060-\
435819202515/4*n+29989765517/8*n^2-71902681*n^3+6801177/8*n^4-23817/4*n^5+77/4*
n^6)*p3*p2^2*p1+2488320*(-173111055144+173491979671/12*n-11913570881/24*n^2+
115322243/12*n^3-918845/8*n^4+1627/2*n^5-8/3*n^6)*p3*p2*p1^3+14929920*(-\
96566034942078+93679467361789/6*n-45926969420081/48*n^2+122221964961/4*n^3-\
114956910347/192*n^4+377757571/48*n^5-6718229/96*n^6+6227/16*n^7-199/192*n^8)*
p3*p2*p1+8957952*(-6194523490407+2408896593775/4*n-44033031455/2*n^2+6681167185
/16*n^3-75007751/16*n^4+487739/16*n^5-1449/16*n^6)*p5*p2*p1+7464960*(-\
6922399007790+2565815633855/4*n-175186587825/8*n^2+1549023915/4*n^3-33403695/8*
n^4+53635/2*n^5-80*n^6)*p4*p3*p1+1244160*(-4644262591+220809798*n-4293912*n^2+
42924*n^3-186*n^4)*p3^2*p2*p1^2+622080*(-5561242810+278230787*n-5712457*n^2+
59616*n^3-266*n^4)*p3*p2^3*p1+622080*(715761342-35465502*n+730213*n^2-7690*n^3+
35*n^4)*p3*p2^2*p1^3+124416*(-76201318+3422433*n-65124*n^2+654*n^3-3*n^4)*p3*p2
*p1^5+2985984*(26680996202-1276687902*n+92500989/4*n^2-429975/2*n^3+3465/4*n^4)
*p5*p3*p1^2+2239488*(31134153491-6317855873/4*n+247502059/8*n^2-1209047/4*n^3+
9989/8*n^4)*p5*p2^2*p1+1492992*(-3948854889+787050047/4*n-30946489/8*n^2+153125
/4*n^3-1295/8*n^4)*p5*p2*p1^3+1244160*(-3877110720+177890930*n-6557545/2*n^2+
31415*n^3-265/2*n^4)*p4*p3*p1^3+1399680*(-4827719650+1444412525/6*n-19328305/4*
n^2+294775/6*n^3-855/4*n^4)*p4*p2^2*p1^2+466560*(568721170-53980855/2*n+2112505
/4*n^2-10685/2*n^3+95/4*n^4)*p4*p2*p1^4+3732480*(25714647077-4055502829/3*n+
53406255/2*n^2-771743/3*n^3+2065/2*n^4)*p6*p2*p1^2+4478976*(-184680881105+
35794444665/4*n-1206961735/8*n^2+5308695/4*n^3-40985/8*n^4)*p5*p4*p1+2985984*(-\
202017150468+9610749428*n-686466431/4*n^2+3140053/2*n^3-24787/4*n^4)*p5*p3*p2+
4976640*(-172981229638+8703394994*n-154649089*n^2+1388646*n^3-5327*n^4)*p6*p3*
p1+44789760/7*(-158559961434+8831477144*n-351573117/2*n^2+1646071*n^3-12537/2*n
^4)*p7*p2*p1+31104*(128364-2760*n+24*n^2)*p3*p2^2*p1^5+103680*(-1440780+35776*n
-304*n^2)*p3*p2^3*p1^3+103680*(-832980+17424*n-144*n^2)*p3^2*p2*p1^4+89579520/
11*(9043718684-251783532*n+1565564*n^2)*p11*p1+4478976*(10851370530-566651085/2
*n+3588585/2*n^2)*p10*p2+4478976*(-1391089700+72547475/2*n-475475/2*n^2)*p10*p1
^2+3317760*(10890034155-235197105*n+1503645*n^2)*p9*p3+6867763200*p4*p3*p2^3*p1
-734054400*p4*p3*p2^2*p1^3+7464960*p4*p3*p2*p1^5-4618321920*p3^4*p2+11664*(-\
2061440+55200*n-480*n^2)*p2^5*p1^2+9720*(240896-6264*n+56*n^2)*p2^4*p1^4+2592*(
-19824+436*n-4*n^2)*p2^3*p1^6+349920*(352311600-7535450*n+55850*n^2)*p4^2*p2^2+
116640*(4287200-81450*n+650*n^2)*p4^2*p1^4+4478976/5*(-2034572610+77520695/2*n-\
536795/2*n^2)*p5^2*p2+4478976/5*(257838000-9771825/2*n+69825/2*n^2)*p5^2*p1^2+
17915904/7*(12175929150-208909050*n+1350930*n^2)*p7*p5+746496/7*(3082590-53340*
n+420*n^2)*p7*p1^5+829440*(-1811481000+35480704*n-245392*n^2)*p6*p3^2+311040*(
382331124-8986404*n+65856*n^2)*p6*p2^3+20736*(-296268+3304*n-28*n^2)*p6*p1^6+
466560*(-26536620+559845*n-4125*n^2)*p8*p1^4+1399680*(-2057339988+49780005*n-\
338613*n^2)*p8*p2^2+1658880*(200894265-9590295/2*n+66495/2*n^2)*p9*p1^3+2799360
*(11609288460-217794555*n+1402995*n^2)*p8*p4+5598720*(-124220304054+14685467863
/2*n-605249073/4*n^2+2827055/2*n^3-20955/4*n^4)*p8*p1^2+29859840/7*(
1067124587298-56738194506*n+990385893*n^2-8581818*n^3+31311*n^4)*p7*p3+14929920
/7*(20082706098-1082684526*n+42573447/2*n^2-201705*n^3+1575/2*n^4)*p7*p1^3+
3732480*(1178024654961-59967961270*n+963756640*n^2-8078350*n^3+29680*n^4)*p6*p4
+1866240*(-192113356743+10013249673*n-385044401/2*n^2+1809283*n^3-14175/2*n^4)*
p6*p2^2+622080*(-3029445895+148093659*n-5534711/2*n^2+26369*n^3-217/2*n^4)*p6*
p1^4+746496/5*(418255355-73192245/4*n+2566935/8*n^2-12075/4*n^3+105/8*n^4)*p5*
p1^5+1399680*(-208317795840+9657235400*n-168348000*n^2+1526850*n^3-6050*n^4)*p4
^2*p2+1399680*(27482193600-3854643100/3*n+22755900*n^2-629750/3*n^3+850*n^4)*p4
^2*p1^2+1244160*(-203439594855+8884609880*n-153463475*n^2+1385690*n^3-5495*n^4)
*p4*p3^2+466560*(35498691558-3490266185/2*n+136935295/4*n^2-681035/2*n^3+5785/4
*n^4)*p4*p2^3+31104*(-51603630+3907045/2*n-121955/4*n^2+535/2*n^3-5/4*n^4)*p4*
p1^6+552960*(30227928030-1357013052*n+24775272*n^2-234792*n^3+972*n^4)*p3^3*p1+
622080*(34603333077-1633970538*n+31378102*n^2-309448*n^3+1316*n^4)*p3^2*p2^2+
207360*(528177501-23305350*n+428664*n^2-4140*n^3+18*n^4)*p3^2*p1^4+58320*(-\
70503600+1706920*n-13480*n^2)*p4*p2^4+92160*(5395896-109728*n+864*n^2)*p3^3*p1^
3+103680*(-64994244+1537792*n-12160*n^2)*p3^2*p2^3-68259594240*p7*p2^3*p1+
7614259200*p7*p2^2*p1^3-89579520*p7*p2*p1^5+1302336921600*p9*p3*p1^2+
1641264768000*p9*p2^2*p1-115644672000*p9*p2*p1^3-11112070717440*p8*p5*p1-\
8896548038400*p8*p4*p2+1041571872000*p8*p4*p1^2-61175347200*p8*p3*p1^3-\
140646844800*p8*p2^2*p1^2+3926102400*p8*p2*p1^4-10369008599040*p7*p6*p1-\
7836953886720*p7*p5*p2-28270221557760*p11*p2*p1-16588783411200*p10*p3*p1+
2297770675200*p10*p2*p1^2-12889933056000*p9*p4*p1-11279803392000*p9*p3*p2+
4976640*(15182214163446-2256323199599*n+6348046950379/48*n^2-100458505765/24*n^
3+5314078987/64*n^4-53271515/48*n^5+320217/32*n^6-2699/48*n^7+29/192*n^8)*p3*p1
^3+5598720*(17843153402400-62088755082139/24*n+14358730364903/96*n^2-\
457014730097/96*n^3+37200444265/384*n^4-8070733/6*n^5+812359/64*n^6-7187/96*n^7
+27/128*n^8)*p2^2*p1^2+1866240*(-2700923507460+8789397588097/24*n-1954116492877
/96*n^2+20390634713/32*n^3-4964198515/384*n^4+2158813/12*n^5-327079/192*n^6+323
/32*n^7-11/384*n^8)*p2*p1^4+29859840*(1358698758572204-2859279754111079/6*n+
979593588835399/16*n^2-372121633689679/96*n^3+26652354556049/192*n^4-\
1194559761173/384*n^5+18175483517/384*n^6-97957877/192*n^7+184949/48*n^8-2391/
128*n^9+17/384*n^10)*p3*p1+22394880*(-393098146912240+2226183427504761/20*n-\
107578472212720/9*n^2+381938268981703/576*n^3-12709668034687/576*n^4+
5618712382489/11520*n^5-17629527493/2304*n^6+100330885/1152*n^7-269063/384*n^8+
8341/2304*n^9-7/768*n^10)*p2*p1^2+41472/7*(5428962-149352*n+1176*n^2)*p3*p1^7+
116640*(898741280-141194806/3*n+1024299*n^2-33866/3*n^3+53*n^4)*p2^4*p1^2+77760
*(-110947516+5671305*n-244859/2*n^2+1355*n^3-13/2*n^4)*p2^3*p1^4+15552*(
11097996-504477*n+19751/2*n^2-103*n^3+1/2*n^4)*p2^2*p1^6+7776/7*(-732424+20328*
n-168*n^2)*p2*p1^8+89579520/7*(23747012797662-2789174236114*n+118711732643*n^2-\
9762330235/4*n^3+109449193/4*n^4-671797/4*n^5+1827/4*n^6)*p7*p1+7464960*(
32951546096238-21454969600141/6*n+277348021517/2*n^2-10566792299/4*n^3+
346512593/12*n^4-2153683/12*n^5+6055/12*n^6)*p6*p2+7464960*(-4682365463160+
2916905258659/6*n-56777273455/3*n^2+2239659793/6*n^3-25287829/6*n^4+161077/6*n^
5-77*n^6)*p6*p1^2+5971968*(38923693461345-48455940402653/12*n+3470402016781/24*
n^2-59707347371/24*n^3+102537239/4*n^4-1253693/8*n^5+10661/24*n^6)*p5*p3+
2985984*(853570476003-953711279717/12*n+8597926883/3*n^2-2626476055/48*n^3+
9959831/16*n^4-65695/16*n^5+595/48*n^6)*p5*p1^3+2799360*(-7738044068222+
2099627008490/3*n-96442224233/4*n^2+3570216795/8*n^3-120701425/24*n^4+803015/24
*n^5-2465/24*n^6)*p4*p2^2+933120*(-142941167490+12079072380*n-1634919505/4*n^2+
61006815/8*n^3-698615/8*n^4+4745/8*n^5-15/8*n^6)*p4*p1^4+2488320*(-\
8158491799494+4251131243141/6*n-139761564869/6*n^2+2505009661/6*n^3-9253037/2*n
^4+61249/2*n^5-565/6*n^6)*p3^2*p2+2488320*(1126241078244-192818965729/2*n+
6451299187/2*n^2-59109584*n^3+667593*n^4-4488*n^5+14*n^6)*p3^2*p1^2+248832*(
21816147360-6790914231/4*n+436805817/8*n^2-995839*n^3+90453/8*n^4-309/4*n^5+1/4
*n^6)*p3*p1^5+933120*(-200258994612+50986835513/3*n-7256908657/12*n^2+293933185
/24*n^3-3682129/24*n^4+27271/24*n^5-31/8*n^6)*p2^3*p1^2+466560*(26607389484-\
2185600454*n+76573634*n^2-3088431/2*n^3+38743/2*n^4-289/2*n^5+1/2*n^6)*p2^2*p1^
4+62208*(-3199657632+724542595/3*n-93405865/12*n^2+3479365/24*n^3-13583/8*n^4+
97/8*n^5-1/24*n^6)*p2*p1^6+17915904*(310422720174105-747442056338047/12*n+
111063956441165/24*n^2-2728689889163/16*n^3+343607214965/96*n^4-561562631/12*n^
5+18887057/48*n^6-32221/16*n^7+469/96*n^8)*p5*p1+11197440*(441811908923154-\
674093502462261/8*n+558687503435587/96*n^2-18864852872837/96*n^3+489866558927/
128*n^4-387789971/8*n^5+78650545/192*n^6-206875/96*n^7+695/128*n^8)*p4*p2+
11197440*(-73903663066506+301835741255429/24*n-26137311499971/32*n^2+
2635779071975/96*n^3-212428920295/384*n^4+174516475/24*n^5-4049905/64*n^6+32665
/96*n^7-335/384*n^8)*p4*p1^2+9953280*(727343581965-47103828915*n+4056621855/4*n
^2-9292140*n^3+130845/4*n^4)*p9*p1+5598720*(935520590466-110704543257/2*n+
4449414387/4*n^2-20234841/2*n^3+146289/4*n^4)*p8*p2+17003520*p3*p2^4*p1^3-\
497664*p3*p2^3*p1^5-368271360*p3^2*p2^3*p1^2+2627665920*p3^3*p2^2*p1-159252480*
p3^3*p2*p1^3+2395008000*p4^2*p3*p1^3+5686200000*p4^2*p2^2*p1^2-157464000*p4^2*
p2*p1^4-20304691200*p4*p3^3*p1-35334144000*p4*p3^2*p2^2-74649600*p4*p3^2*p1^4-\
247276800*p4*p2^4*p1^2+16329600*p4*p2^3*p1^4-155520*p4*p2^2*p1^6+2508226560*p5*
p3^2*p1^3-32509403136*p5*p3*p2^3+2406329856*p5*p2^4*p1-374492160*p5*p2^3*p1^3+
7838208*p5*p2^2*p1^5-39191040*p5*p4*p1^5+447953587200*p5*p4^2*p1-67486970880*p5
^2*p2*p1^2-27869184*p6*p3*p1^5+6270566400*p6*p2^3*p1^2-287400960*p6*p2^2*p1^4+
1161216*p6*p2*p1^6+487223009280*p5^2*p3*p1-5138910314496*p6*p5*p3-47307939840*
p6*p5*p1^3+580419302400*p6*p4*p2^2+1698278400*p6*p4*p1^4+457797795840*p6*p3^2*
p2-50721914880*p6*p3^2*p1^2+921773260800*p7*p5*p1^2-5663217254400*p7*p4*p3-\
51508224000*p7*p4*p1^3+616307097600*p7*p3^2*p1+697286983680*p7*p3*p2^2+
1791590400*p7*p3*p1^4+14929920*p3^2*p2^2*p1^4-85847040*p3*p2^5*p1+78382080*p5*
p1^7+227681280*p3^2*p1^6-1537273246924800*p14-11993277393528488188416*n^3+
2934577627607528673696*n^4+233280*(1420437382824-361914879242/3*n+4204802361*n^
2-82868019*n^3+3033524/3*n^4-21925/3*n^5+73/3*n^6)*p2^4+15552/7*(318806208-\
19256566*n+444031*n^2-4830*n^3+21*n^4)*p1^8+124416*(391046216460-392751949033/8
*n+245476572695/96*n^2-7251693313/96*n^3+185164435/128*n^4-227231/12*n^5+10791/
64*n^6-91/96*n^7+1/384*n^8)*p1^6+8957952/5*(1218046871580-245055109565/4*n+
7660603895/8*n^2-31709125/4*n^3+233485/8*n^4)*p5^2+23328*(-6397275600+329403330
*n-7006255*n^2+75430*n^3-345*n^4)*p2^5+4976640*(488331775890882-367873425004691
/4*n+18578795178187/3*n^2-4812431639347/24*n^3+118833371847/32*n^4-272786995/6*
n^5+6053295/16*n^6-47611/24*n^7+481/96*n^8)*p3^2+3732480*(79729519532768-\
58424378428240/3*n+90032947790623/48*n^2-6212104797625/64*n^3+12487490539/4*n^4
-17517530175/256*n^5+827789369/768*n^6-4743557/384*n^7+38347/384*n^8-397/768*n^
9+1/768*n^10)*p1^4+44789760*(-2161626444423600+245749368109550087/120*n-\
237509376548658461/360*n^2+563644590604726013/5760*n^3-87998606237392241/11520*
n^4+1573444032411535/4608*n^5-144806672629849/15360*n^6+4028820307813/23040*n^7
-35999501617/15360*n^8+537219701/23040*n^9-1545973/9216*n^10+3643/4608*n^11-17/
9216*n^12)*p2+11197440*(-111108280603320+15093267156198*n-2858837332637/4*n^2+
123275071469/8*n^3-1371519941/8*n^4+8103931/8*n^5-20889/8*n^6)*p8+2799360*(
41169514027180-12703144008320/3*n+148701069435*n^2-2479660475*n^3+75120875/3*n^
4-456775/3*n^5+1300/3*n^6)*p4^2+14929920*(-1121028955456410+2727959220152859/10
*n-1151563025179595/48*n^2+48112988899451/48*n^3-1434792747353/64*n^4+
17660876191/60*n^5-76751717/32*n^6+560441/48*n^7-5131/192*n^8)*p6+1866240*(-\
114218756113968+710265462447303/40*n-100859099709421/96*n^2+3169684460539/96*n^
3-83559519889/128*n^4+131814292/15*n^5-5160349/64*n^6+44545/96*n^7-491/384*n^8)
*p2^3+22394880*(-3528339117242940+1579501528842293*n-12232166072071955/48*n^2+
1257190101745271/64*n^3-78149612703403/96*n^4+5035702321617/256*n^5-77101753229
/256*n^6+401192089/128*n^7-8602385/384*n^8+26145/256*n^9-175/768*n^10)*p4+
11197440*(1725491185365192-5925408633649403/10*n+1177328120336271/16*n^2-\
1425211964689701/320*n^3+14608085860889/96*n^4-12693267644513/3840*n^5+
38521236721/768*n^6-352888083/640*n^7+1651879/384*n^8-16637/768*n^9+41/768*n^10
)*p2^2+6416866195596*n^10-489006542784636*n^9-62908293924*n^11+447853860*n^12+
4860*n^14-2094660*n^13+363916800*p4*p2^5-3508755148800*p8*p3^2+3732480*(
31252195900-1476216565*n+54998015/2*n^2-263435*n^3+2185/2*n^4)*p4*p3*p2*p1+
362848844160*p8*p2^3-5132160*p8*p1^6-28021593600*p10*p1^4-9185478382080*p10*p2^
2+923863449600*p11*p1^3+57734829250560*p8*p6+533744640*p9*p1^5+255199511347200*
p13*p1+63336273960960*p9*p5+74929741286400*p10*p4-2353421952000*p6*p4^2+5184*p2
^4*p1^6-233280*p2^5*p1^4+2099520*p2^6*p1^2+274172677632*p5^2*p2^2-2222680642560
*p5^2*p4-11809566720*p6*p2^4+823011840*p5^2*p1^4-13821840000*p4^3*p1^2-\
14924088000*p4^2*p2^3+388800*p4^2*p1^6+28024057036800*p7^2-2099520*p2^7+1944*(
14502240-383400*n+3240*n^2)*p2^6+21389083460316710263296*n^2+46080*(291872160-\
6058368*n+44928*n^2)*p3^4+233280*(-1778112000+32990250*n-230250*n^2)*p4^3+
1244160*(12384952272-206163384*n+1334760*n^2)*p6^2+7464960*(-56219403240+
1639247610*n-9699690*n^2)*p12+8957952*(-4071221784630+1160991426595/4*n-\
51942875985/8*n^2+232507275/4*n^3-1556555/8*n^4)*p10+44789760*(1074372016225200
-88590592569642113/120*n+64175493102891749/360*n^2-39789506186108809/1920*n^3+
3088627508859223/2304*n^4-408318379090303/7680*n^5+64576695655633/46080*n^6-\
604792119067/23040*n^7+373126189/1024*n^8-17390231/4608*n^9+259375/9216*n^10-\
629/4608*n^11+1/3072*n^12)*p1^2+25244122788418925448*n^6-364846547629742261904*
n^5-1039640692534263180*n^7+27231841812275244*n^8+1492992*(-45789429+996660*n-\
7560*n^2)*p5*p3*p2*p1^2+2239488*(309860740-6343680*n+46060*n^2)*p5*p4*p2*p1+
2488320*(307564964-6620880*n+47768*n^2)*p6*p3*p2*p1+933120*(-55959170+1272060*n
-9860*n^2)*p4*p3*p2^2*p1+121247280000*p4^3*p2+103673364480*p5*p3^3+142642944000
*p4^2*p3^2+622080*(6442530-140600*n+1120*n^2)*p4*p3*p2*p1^3+98299071037440*p11*
p3-19747581235200*p12*p1^2+164563176960000*p12*p2-3764639047680*p6^2*p2+
477757440*p3^4*p1^2+443329044480*p6^2*p1^2+722442240*p3^2*p2^4
[3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2]
163499212800*p3^4*p2-29727129600*p3^4*p1^2+11890851840*p3^3*p2*p1^3+
285223681009024987299840*n+18579456*p3^2*p2*p1^6+16659578880*p3^2*p2^3*p1^2-\
22388244480*p3^2*p2^4-148635648*p3^3*p1^5-105531310080*p3^3*p2^2*p1-1300561920*
p3^2*p2^2*p1^4+2926264320*p3*p2^5*p1+58786560*p2^7+49545216*p3*p2^3*p1^5-663552
*p3*p2^2*p1^7+13063680*p2^5*p1^4-859299840*p3*p2^4*p1^3-78382080*p2^6*p1^2+6912
*p2^3*p1^8-580608*p2^4*p1^6+124416*p2*p1^10-5640192*p3*p1^9+6967296*(114489564-\
5451309/2*n+39249/2*n^2)*p5*p2^3*p1+6967296*(-20189484+983689/2*n-7189/2*n^2)*
p5*p2^2*p1^3+6967296/5*(3077060-146825/2*n+1085/2*n^2)*p5*p2*p1^5+15482880*(
105669732-2368828*n+16156*n^2)*p6*p3*p1^3+17418240*(113607984-2745330*n+19194*n
^2)*p6*p2^2*p1^2+5806080*(-18730880+456666*n-3234*n^2)*p6*p2*p1^4+27869184*(
3105605160-59337605*n+388745*n^2)*p5*p4*p3+59719680*(3509319600-69138330*n+
436770*n^2)*p7*p4*p1+39813120*(3280306656-70218300*n+453612*n^2)*p7*p3*p2+
39813120*(-605354880+13487628*n-88284*n^2)*p7*p3*p1^2+29859840*(-622175088+
14969154*n-100074*n^2)*p7*p2^2*p1+19906560*(108878988-2707194*n+18354*n^2)*p7*
p2*p1^3+55738368*(3610758648-66892581*n+423801*n^2)*p6*p5*p1+34836480*(
3340926400-65934120*n+428400*n^2)*p6*p4*p2+34836480*(-620113480+12656980*n-\
83300*n^2)*p6*p4*p1^2+92897280*(3315166140-170817075/2*n+1061775/2*n^2)*p9*p2*
p1+69672960*(3359652384-74371572*n+466884*n^2)*p8*p3*p1+52254720*(-609720540+
15446838*n-100254*n^2)*p8*p2*p1^2+55296*(69990-1524*n+12*n^2)*p3*p2*p1^7+
1451520*(-21440864+537432*n-4152*n^2)*p3*p2^4*p1+1935360*(3806994-96880*n+760*n
^2)*p3*p2^3*p1^3+580608*(-588028+14660*n-116*n^2)*p3*p2^2*p1^5+5160960*(
103150872-2338560*n+16992*n^2)*p3^3*p2*p1+5806080*(-19976344+481616*n-3632*n^2)
*p3^2*p2^2*p1^2+1935360*(3288000-78936*n+600*n^2)*p3^2*p2*p1^4+290304*(-478200+
11065*n-85*n^2)*p4*p2*p1^6+1161216*(2849860-64030*n+470*n^2)*p4*p3*p1^5+4354560
*(-20973760+514855*n-3875*n^2)*p4*p2^3*p1^2+2177280*(3486200-85915*n+655*n^2)*
p4*p2^2*p1^4+13063680*(107989700-2373350*n+16750*n^2)*p4^2*p2*p1^2+11612160*(-\
551178960+11745820*n-82060*n^2)*p4*p3^2*p2+11612160*(101946760-2225740*n+15740*
n^2)*p4*p3^2*p1^2+17418240*(-564188000+11516500*n-78500*n^2)*p4^2*p3*p1+
13934592*(106320900-4502575/2*n+30835/2*n^2)*p5*p4*p1^3+18579456*(-569910432+
11869746*n-80682*n^2)*p5*p3^2*p1+13934592*(-586126968+12823715*n-88991*n^2)*p5*
p3*p2^2+4644864*(-17749872+399735*n-2835*n^2)*p5*p3*p1^4+104509440*(-\
1966350600020+368433809769/2*n-159887045189/24*n^2+6096301885/48*n^3-22979395/
16*n^4+449195/48*n^5-1325/48*n^6)*p4*p2*p1^2+69672960*(-2134962247708+
1122571115119/6*n-19412623391/3*n^2+978656361/8*n^3-33682337/24*n^4+225473/24*n
^5-229/8*n^6)*p3*p2^2*p1+46448640*(359557148262-32154719148*n+4619047507/4*n^2-\
181048653/8*n^3+2134349/8*n^4-14563/8*n^5+45/8*n^6)*p3*p2*p1^3+278691840*(
145678987235292-729429186835363/30*n+12254553810445/8*n^2-793734364449/16*n^3+
5797890341/6*n^4-995608467/80*n^5+5142029/48*n^6-3421/6*n^7+23/16*n^8)*p3*p2*p1
+55738368*(-56266655088+2865343207*n-52522932*n^2+475468*n^3-1799*n^4)*p5*p3*p1
^2+41803776*(-55705730612+17165940203/6*n-220521885/4*n^2+3100843/6*n^3-8015/4*
n^4)*p5*p2^2*p1+27869184*(9540066060-508356847*n+20294281/2*n^2-97125*n^3+763/2
*n^4)*p5*p2*p1^3+23224320*(9810100740-984677015/2*n+9350405*n^2-88055*n^3+695/2
*n^4)*p4*p3*p1^3+26127360*(9978238384-510610245*n+20288755/2*n^2-99075*n^3+805/
2*n^4)*p4*p2^2*p1^2+8709120*(-1667511120+521590135/6*n-7038315/4*n^2+104285/6*n
^3-285/4*n^4)*p4*p2*p1^4+23224320*(9926939328-491233044*n+9574683*n^2-93002*n^3
+379*n^4)*p3^2*p2*p1^2+11612160*(9999652500-3018929857/6*n+20256283/2*n^2-\
304030/3*n^3+424*n^4)*p3*p2^3*p1+11612160*(-1741502700+180470489/2*n-1862875*n^
2+18973*n^3-161/2*n^4)*p3*p2^2*p1^3+2322432*(281070828-29095971/2*n+600837/2*n^
2-3056*n^3+13*n^4)*p3*p2*p1^5+167215104*(10104908555632-3045451570306/3*n+
906504242867/24*n^2-11360782379/16*n^3+371826689/48*n^4-2313119/48*n^5+2163/16*
n^6)*p5*p2*p1+139345920*(11371590874036-2191515516151/2*n+230126108281/6*n^2-\
16213345495/24*n^3+171150625/24*n^4-1058525/24*n^5+2995/24*n^6)*p4*p3*p1+
119439360*(280283418504-16026117911*n+317070750*n^2-2852386*n^3+10215*n^4)*p7*
p2*p1+92897280*(311876571384-48931509053/3*n+290178749*n^2-7580104/3*n^3+9142*n
^4)*p6*p3*p1+69672960*(-52550762432+2891736526*n-57312409*n^2+531622*n^3-1995*n
^4)*p6*p2*p1^2+83607552*(333236462300-100699492025/6*n+1127419655/4*n^2-\
14422285/6*n^3+34965/4*n^4)*p5*p4*p1+55738368*(322085873088-15441308028*n+
544119997/2*n^2-2404021*n^3+17941/2*n^4)*p5*p3*p2+6847458508800*p6*p4*p2*p1^2-\
62977985740800*p7*p4*p2*p1-574848368640*p6*p3*p2*p1^3+5009764515840*p6*p3*p2^2*
p1-43646858035200*p6*p4*p3*p1-57027039068160*p6*p5*p2*p1+8300557762560*p7*p3*p2
*p1^2-78577721671680*p8*p3*p2*p1-1161216000*p4*p3*p2*p1^5+43545600000*p4*p3*p2^
2*p1^3-252680601600*p4*p3*p2^3*p1-429649920000*p4*p3^2*p2*p1^2+3288563712000*p4
^2*p3*p2*p1+29262643200*p5*p3*p2*p1^4-567890362368*p5*p3*p2^2*p1^2+
3606718316544*p5*p3^2*p2*p1-493075537920*p5*p4*p2*p1^3+4902468157440*p5*p4*p3*
p1^2+4307461079040*p5*p4*p2^2*p1-26570480025600*p5*p4*p3*p2+5806080*(-614442528
+14278278*n-98238*n^2)*p6*p2^3+387072*(2542848-56686*n+406*n^2)*p6*p1^6+
83607552/5*(3372274080-64664950*n+420910*n^2)*p5^2*p2+83607552/5*(-627109840+
12412190*n-81830*n^2)*p5^2*p1^2+1990656*(-16527000+398370*n-2730*n^2)*p7*p1^5+
1672151040/11*(-17187909024+498228588*n-2888028*n^2)*p11*p1+83607552*(-\
17619327440+459916600*n-2739880*n^2)*p10*p2+83607552*(3186388920-89509420*n+
540540*n^2)*p10*p1^2+61931520*(-18172800360+399341085*n-2404545*n^2)*p9*p3+
30965760*(-575186040+31005975/2*n-195195/2*n^2)*p9*p1^3+52254720*(-19341710520+
368552085*n-2234265*n^2)*p8*p4+26127360*(3327946776-79908180*n+510972*n^2)*p8*
p2^2+8709120*(100033824-2563110*n+16830*n^2)*p8*p1^4+47775744*(-20275572240+
353055570*n-2148090*n^2)*p7*p5+20736*(6330000-605799/2*n+23427/4*n^2-115/2*n^3+
1/4*n^4)*p2*p1^8+104509440*(246568830816-15599511279*n+333312639*n^2-3008016*n^
3+10428*n^4)*p8*p1^2+79626240*(-1680102613728+90797103796*n-1575209742*n^2+
13211372*n^3-45666*n^4)*p7*p3+39813120*(-47085951096+2803349899*n-58414596*n^2+
538790*n^3-1953*n^4)*p7*p1^3+69672960*(-1853579947296+287575471435/3*n-\
3053099525/2*n^2+37205105/3*n^3-86275/2*n^4)*p6*p4+1088640*(112711240-2689965*n
+19905*n^2)*p4*p2^4+1720320*(-18019152+412560*n-3024*n^2)*p3^3*p1^3+129024*(-\
436392+9576*n-72*n^2)*p3^2*p1^6+331776/5*(-353220+13965/2*n-105/2*n^2)*p5*p1^7+
6531840*(-582101800+12442400*n-86600*n^2)*p4^2*p2^2+2177280*(-17650400+386950*n
-2750*n^2)*p4^2*p1^4+15482880*(3124878624-62334664*n+406504*n^2)*p6*p3^2+
8709120*(-56085173376+16473897185/6*n-210392785/4*n^2+3008695/6*n^3-8015/4*n^4)
*p4*p2^3+10321920*(-56786316624+2637696510*n-48185352*n^2+445284*n^3-1746*n^4)*
p3^3*p1+11612160*(-55646361840+2637686510*n-49791706*n^2+473280*n^3-1900*n^4)*
p3^2*p2^2+3870720*(-1656438384+83404098*n-1647948*n^2+16116*n^3-66*n^4)*p3^2*p1
^4+110592*(-40265988+3912489/2*n-37752*n^2+363*n^3-3/2*n^4)*p3*p1^7+2177280*(-\
1804788800+95198329*n-2025766*n^2+21286*n^3-93*n^4)*p2^4*p1^2+1451520*(
306372624-98537911/6*n+1420745/4*n^2-22691/6*n^3+67/4*n^4)*p2^3*p1^4+217728*(
4224060-111780*n+900*n^2)*p2^5*p1^2+181440*(-716816+19068*n-156*n^2)*p2^4*p1^4+
5184*(-11224+242*n-2*n^2)*p2^2*p1^8+185794560*(-1255012155540+169348641605/2*n-\
7414859595/4*n^2+32681935/2*n^3-216645/4*n^4)*p9*p1-53870435942400*p8*p4*p1^2+
209018880*(115600729383104-61895599620400/3*n+4221197735108/3*n^2-787781423379/
16*n^3+32345477259/32*n^4-211033961/16*n^5+1342255/12*n^6-6935/12*n^7+45/32*n^8
)*p4*p1^2+104509440*(-29060639457728+66101183589214/15*n-528899356875/2*n^2+
412125177145/48*n^3-16746007601/96*n^4+570365131/240*n^5-21675*n^6+731/6*n^7-31
/96*n^8)*p2^2*p1^2+34836480*(5098853344824-4489243138379/6*n+358381858873/8*n^2
-23762551763/16*n^3+746886443/24*n^4-6984379/16*n^5+195569/48*n^6-559/24*n^7+1/
16*n^8)*p2*p1^4+238878720*(-37474015099752+4566433309455*n-400909994509/2*n^2+
8317972271/2*n^3-45483271*n^4+534727/2*n^5-1377/2*n^6)*p7*p1+139345920*(
8172157222152-899855719427*n+442363175611/12*n^2-17867038259/24*n^3+66147501/8*
n^4-1212757/24*n^5+3283/24*n^6)*p6*p1^2+55738368*(-1684615253244+170247656071*n
-52733542309/8*n^2+2090681907/16*n^3-23647659/16*n^4+150269/16*n^5-427/16*n^6)*
p5*p1^3+52254720*(11719445040264-3205035495760/3*n+878573536847/24*n^2-\
10622466735/16*n^3+347491325/48*n^4-2209235/48*n^5+2135/16*n^6)*p4*p2^2+
17418240*(326826192016-30752641295*n+27404371315/24*n^2-1079528525/48*n^3+
12487685/48*n^4-82435/48*n^5+245/48*n^6)*p4*p1^4+46448640*(12423620948784-\
1092300031114*n+71833226707/2*n^2-2537294187/4*n^3+27361263/4*n^4-173917/4*n^5+
507/4*n^6)*p3^2*p2+46448640*(-2078590317576+566418475820/3*n-39474853387/6*n^2+
1458266737/12*n^3-5416507/4*n^4+35221/4*n^5-313/12*n^6)*p3^2*p1^2+4644864*(-\
59329006920+31788343513/6*n-1154913559/6*n^2+91757099/24*n^3-363287/8*n^4+2483/
8*n^5-23/24*n^6)*p3*p1^5+17418240*(372135747528-65136843195/2*n+28053715517/24*
n^2-1120280593/48*n^3+4525767/16*n^4-95591/48*n^5+305/48*n^6)*p2^3*p1^2+8709120
*(-62647872736+16631317514/3*n-4887047155/24*n^2+66640955/16*n^3-2470177/48*n^4
+17647/48*n^5-19/16*n^6)*p2^2*p1^4+1161216*(10230149232-1792064089/2*n+
262484019/8*n^2-10708179/16*n^3+131543/16*n^4-933/16*n^5+3/16*n^6)*p2*p1^6+
334430208*(-453919347676740+562868815620101/6*n-57487445879757/8*n^2+
3256806096193/12*n^3-550658084459/96*n^4+294915851/4*n^5-28817303/48*n^6+8833/3
*n^7-217/32*n^8)*p5*p1+26127360*(-58034815520+2885591125*n-51427775*n^2+461100*
n^3-1750*n^4)*p4^2*p1^2+23224320*(329780360784-14662807910*n+251295920*n^2-\
2204500*n^3+8290*n^4)*p4*p3^2+3317760*p4*p3*p1^7+10683187200*p4*p3^2*p1^4-\
184633344000*p4^2*p3*p1^3+6967296*p5*p2*p1^7-195084288*p5*p3*p1^6-202887659520*
p5*p3^2*p1^3+6340239360*p5*p4*p1^5+3228254797824*p5^2*p2*p1^2+1015998971904*p5*
p3*p2^3-82959593472*p5*p2^4*p1+19459657728*p5*p2^3*p1^3-829108224*p5*p2^2*p1^5-\
258660864000*p4^2*p2^2*p1^2+13281408000*p4^2*p2*p1^4+917825126400*p4*p3^3*p1+
1167718809600*p4*p3^2*p2^2+10059033600*p4*p2^4*p1^2-1081382400*p4*p2^3*p1^4+
26127360*p4*p2^2*p1^6-103680*p4*p2*p1^8-265314631680*p6*p2^3*p1^2+21215416320*
p6*p2^2*p1^4-325140480*p6*p2*p1^6-20582172721152*p5^2*p3*p1-18771985612800*p5*
p4^2*p1+7456555008*p6*p3*p1^5+175931692941312*p6*p5*p3+3261028958208*p6*p5*p1^3
-18347677286400*p6*p4*p2^2-173950156800*p6*p4*p1^4-15440271114240*p6*p3^2*p2+
2852565811200*p6*p3^2*p1^2-211805798400*p7*p3*p1^4+2416019374080*p7*p2^3*p1-\
423890288640*p7*p2^2*p1^3+11705057280*p7*p2*p1^5-22209987870720*p7*p3*p2^2-\
26424445501440*p7*p3^2*p1+417903987916800*p7*p6*p1+252588447498240*p7*p5*p2-\
47335251640320*p7*p5*p1^2+194256175104000*p7*p4*p3+3603485491200*p7*p4*p1^3+
6221655982080*p8*p2^2*p1^2-327637094400*p8*p2*p1^4+4506447052800*p8*p3*p1^3+
49192743901593600*p14-71099609978268536087808*n^4+288268476955925817480192*n^3+
25445463236236651104*n^7-658299851169361632*n^8-146718031495392*n^10+
11542005170988768*n^9+41640480*n^13-90720*n^14+1935360*(107649360-2535184*n+
18832*n^2)*p3^2*p2^3+287372219904000*p8*p4*p2+860160*(-522970560+11088576*n-\
77760*n^2)*p3^4+6974263296000*p9*p2*p1^3-59779399680000*p9*p2^2*p1+
678456333434880*p10*p3*p1+418037760*(4732921483650360-6431192856568598/3*n+
25200428541179171/72*n^2-163433549879257/6*n^3+326138516025631/288*n^4-\
7812262052333/288*n^5+116887101025/288*n^6-589560379/144*n^7+8117705/288*n^8-\
35405/288*n^9+25/96*n^10)*p4+69672960*(-123555913438464+480010059015686/15*n-\
29618634748697/9*n^2+52450685959261/288*n^3-1791449133181/288*n^4+821323524151/
5760*n^5-2656572019/1152*n^6+15357907/576*n^7-13683/64*n^8+1243/1152*n^9-1/384*
n^10)*p1^4-107124684226560*p10*p2*p1^2+836075520*(2812131617803200-\
80617012480339073/30*n+629863479835709197/720*n^2-125873700677461367/960*n^3+
19811617169627789/1920*n^4-118336541135855/256*n^5+291696310851551/23040*n^6-\
884100955217/3840*n^7+7683710563/2560*n^8-36907177/1280*n^9+915673/4608*n^10-\
683/768*n^11+1/512*n^12)*p2+366646984704000*p9*p3*p2+522073423872000*p9*p4*p1-\
68812731187200*p9*p3*p1^2+836075520*(-1418899483663200+4962762736752433/5*n-\
88268552713947979/360*n^2+42191979175311391/1440*n^3-1876440886145971/960*n^4+
153337267825109/1920*n^5-24784397911087/11520*n^6+234011999431/5760*n^7-\
6457584523/11520*n^8+3647173/640*n^9-31667/768*n^10+221/1152*n^11-1/2304*n^12)*
p1^2+1064290693939200*p11*p2*p1+167215104/5*(-1916300620080+97905591490*n-\
1514896495*n^2+12161590*n^3-42385*n^4)*p5^2-2088931342417920*p9*p5+
2789705318400*p10*p1^4+121103866920960*p8*p3^2-1902557567877120*p8*p6+
2299207680*p8*p1^6-10974118256640*p8*p2^3-92990177280*p9*p1^5-81935400960*p5^2*
p1^4-8652378341376*p5^2*p2^2+75708310487040*p5^2*p4+351517501440*p6*p2^4+
80264991744000*p6*p4^2+121264393420800*p6^2*p2-39813120*p7*p1^7-22723417866240*
p6^2*p1^2+463325184000*p4^2*p2^3-87091200*p4^2*p1^6-10679558400*p4*p2^5-\
4039943040000*p4^3*p2-5100060672000*p4^2*p3^2+387072*p6*p1^8-3726890237952*p5*
p3^3+744629760000*p4^3*p1^2-923256697651200*p7^2-619036905408582636864*n^6+
8906025544329256785792*n^5+1383615553824*n^11-9403339680*n^12+48384*(103884-\
2662*n+22*n^2)*p2^3*p1^6+104509440*(-1457621155056+173766982917/2*n-6883602693/
4*n^2+30046269/2*n^3-205359/4*n^4)*p8*p2+580608*(255141120-12931950*n+254420*n^
2-2460*n^3+10*n^4)*p4*p1^6+26127360*(331845637200-92941199125/6*n+1064860575/4*
n^2-13993925/6*n^3+34925/4*n^4)*p4^2*p2+13934592/5*(-1528316580+162681995/2*n-\
6502335/4*n^2+31115/2*n^3-245/4*n^4)*p5*p1^5+11612160*(8675384928-1462370105/3*
n+19854541/2*n^2-280231/3*n^3+707/2*n^4)*p6*p1^4+34836480*(302147586944-\
15744963381*n+593049471/2*n^2-2673867*n^3+19761/2*n^4)*p6*p2^2+290304*(-\
47533632+2501898*n-106685/2*n^2+563*n^3-5/2*n^4)*p2^2*p1^6+139345920*(-\
49016541079968+16161132469916/3*n-837159192919/4*n^2+94072083119/24*n^3-\
331838073/8*n^4+1973419/8*n^5-5257/8*n^6)*p6*p2+111476736*(-58070057304600+
6122217111423*n-883092531181/4*n^2+30025187253/8*n^3-301786697/8*n^4+1775043/8*
n^5-4781/8*n^6)*p5*p3+418037760*(563580866654068-991305482753123/6*n+
1106554672232093/60*n^2-510135834497527/480*n^3+3496346069251/96*n^4-\
313171962293/384*n^5+24446632729/1920*n^6-136447721/960*n^7+212581/192*n^8-2101
/384*n^9+5/384*n^10)*p2*p1^2+557383680*(-1870649019806424+10058420583532796/15*
n-31788004625936237/360*n^2+4127618656535653/720*n^3-60324198658255/288*n^4+
13608243343373/2880*n^5-204807663169/2880*n^6+1078582669/1440*n^7-87587/16*n^8+
14657/576*n^9-11/192*n^10)*p3*p1+34836480*(165332735493408-260092253624929/10*n
+111202834448489/72*n^2-2310112080989/48*n^3+8392664953/9*n^4-2922474209/240*n^
5+15448003/144*n^6-4693/8*n^7+73/48*n^8)*p2^3+278691840*(1562789648379960-\
1927681455851382/5*n+617440055791349/18*n^2-34568676149371/24*n^3+4598305582171
/144*n^4-24487364951/60*n^5+230814857/72*n^6-119525/8*n^7+1561/48*n^8)*p6+
4354560*(3056445000-57592875*n+378375*n^2)*p4^3+448455859568640*p8*p5*p1+
209018880*(162024320137680-22335261886531*n+8534096843019/8*n^2-365377185437/16
*n^3+3937639893/16*n^4-22271667/16*n^5+54549/16*n^6)*p8+23224320*(-20621174112+
348288864*n-2121504*n^2)*p6^2+69672960*(-57196662564+16569762115/6*n-102022635/
2*n^2+1417240/3*n^3-1845*n^4)*p4*p3*p2*p1+167215104*(6243030874080-\
1355182663835/3*n+20180247945/2*n^2-260180635/3*n^3+549835/2*n^4)*p10+139345920
*(91021890960-2692104870*n+14990430*n^2)*p12+10368*(41800-625*n+5*n^2)*p4*p1^8+
11612160*(-19058670+443410*n-3250*n^2)*p4*p3*p2*p1^3+17418240*(108497600-\
2486290*n+18010*n^2)*p4*p3*p2^2*p1+27869184*(108550820-2447599*n+17227*n^2)*p5*
p3*p2*p1^2+41803776*(-606112500+25190155/2*n-170695/2*n^2)*p5*p4*p2*p1+46448640
*(-603729728+13237980*n-89292*n^2)*p6*p3*p2*p1+209018880*(-627382685465844+
364242248273497/3*n-304880868376393/36*n^2+13717815129679/48*n^3-1577888019227/
288*n^4+1081186755/16*n^5-39666995/72*n^6+16625/6*n^7-635/96*n^8)*p4*p2+
92897280*(-25921524973572+8229833554647/2*n-6181726338833/24*n^2+412789190771/
48*n^3-2811117039/16*n^4+113224241/48*n^5-335065/16*n^6+1367/12*n^7-7/24*n^8)*
p3*p1^3-62083623813120*p11*p1^3+282637001687040*p10*p2^2+36288*(-22510440+
581310*n-4590*n^2)*p2^6+209018880*(-2348640832268872+12268056395696899/15*n-\
1233794430783631/12*n^2+9026107050491623/1440*n^3-61526076232793/288*n^4+
26339392060969/5760*n^5-78022018853/1152*n^6+2075237249/2880*n^7-3106249/576*n^
8+9911/384*n^9-23/384*n^10)*p2^2+2322432*(-887784832080+125998983419*n-\
89362852303/12*n^2+11876645297/48*n^3-167330633/32*n^4+3543203/48*n^5-5513/8*n^
6+47/12*n^7-1/96*n^8)*p1^6+92897280*(-693804654184752+663649629799478/5*n-\
27134089388359/3*n^2+3523376183423/12*n^3-42993967159/8*n^4+3865517269/60*n^5-\
1039973/2*n^6+7856/3*n^7-151/24*n^8)*p3^2+41472*(-1588065024+400432643/3*n-\
111933487/24*n^2+4307401/48*n^3-16459/16*n^4+109/16*n^5-1/48*n^6)*p1^8+4354560*
(-2167857688608+552287563385/3*n-50696585261/8*n^2+5841850729/48*n^3-22865787/
16*n^4+157037/16*n^5-491/16*n^6)*p2^4+52254720*(-61407189691760+19253824096415/
3*n-1814917610185/8*n^2+59728001375/16*n^3-1765467125/48*n^4+10330675/48*n^5-\
27925/48*n^6)*p4^2+2304/5*(-593280+17955*n-135*n^2)*p1^10+435456*(9988656080-\
1016916435/2*n+41962815/4*n^2-215295/2*n^3+1845/4*n^4)*p2^5-3263824794746880*
p11*p3+982990710374400*p12*p1^2-5160701229465600*p12*p2-9981136443801600*p13*p1
-2476062734745600*p10*p4-510704335185649403387904*n^2
[3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
-7071444145740665585664000*n+55296*p1^12+232243200*(26513760-691698*n+4746*n^2)
*p6*p2*p1^4+3715891200*(-3002357215+158969525/2*n-968825/2*n^2)*p9*p2*p1+
11612160*(1035040-27200*n+200*n^2)*p4*p2*p1^6+206438400*(-99613900+2312368*n-\
16480*n^2)*p3^3*p2*p1+1114767360*(-2590196700+50544415*n-326095*n^2)*p5*p4*p3+
557383680*(-130610865+5821055/2*n-39095/2*n^2)*p5*p4*p1^3+743178240*(538460720-\
11523938*n+77042*n^2)*p5*p3^2*p1+557383680*(497809060-11060073*n+75201*n^2)*p5*
p3*p2^2+185794560*(25929596-628649*n+4361*n^2)*p5*p3*p1^4+278691840*(-108479259
+5250339/2*n-36855/2*n^2)*p5*p2^3*p1+278691840*(24624943-1245753/2*n+8841/2*n^2
)*p5*p2^2*p1^3+55738368*(-5294135+276451/2*n-1967/2*n^2)*p5*p2*p1^5+696729600*(
533441675-11190150*n+75050*n^2)*p4^2*p3*p1+2786918400*(-3067781145+69924426*n-\
431574*n^2)*p8*p3*p1+2090188800*(629236608-16566693*n+105105*n^2)*p8*p2*p1^2+
2388787200*(-3210143970+65046850*n-404250*n^2)*p7*p4*p1+1592524800*(-2721107400
+59307996*n-376332*n^2)*p7*p3*p2+1592524800*(633673128-14691468*n+94380*n^2)*p7
*p3*p1^2+1194393600*(577540854-14188834*n+92730*n^2)*p7*p2^2*p1+796262400*(-\
130219386+3409098*n-22506*n^2)*p7*p2*p1^3+2229534720*(-3305369382+62936097*n-\
392343*n^2)*p6*p5*p1+1393459200*(-2770786200+55716360*n-355740*n^2)*p6*p4*p2+
1393459200*(651535920-13806030*n+89250*n^2)*p6*p4*p1^2+619315200*(-129153402+
3054996*n-20412*n^2)*p6*p3*p1^3+696729600*(-120014496+2983512*n-20328*n^2)*p6*
p2^2*p1^2+3344302080*(-280356943825+58457357275/4*n-1991323535/8*n^2+8496005/4*
n^3-60865/8*n^4)*p5*p4*p1+2229534720*(-252211061592+73987550995/6*n-876178339/4
*n^2+11566187/6*n^3-28273/4*n^4)*p5*p3*p2+2229534720*(52828375320-5638411343/2*
n+211246545/4*n^2-959151/2*n^3+7147/4*n^4)*p5*p3*p1^2+4777574400*(-234773582538
+13854808297*n-278592985*n^2+2496142*n^3-8778*n^4)*p7*p2*p1+3715891200*(-\
262216068114+14185930248*n-512717457/2*n^2+2231355*n^3-15897/2*n^4)*p6*p3*p1+
2786918400*(48973550136-5631513699/2*n+228400809/4*n^2-1058169/2*n^3+7791/4*n^4
)*p6*p2*p1^2+23224320*(1006795-26938*n+206*n^2)*p3*p2^2*p1^5+2211840*(-198769+
5284*n-40*n^2)*p3*p2*p1^7+232243200*(21755740-538960*n+3968*n^2)*p3^2*p2^2*p1^2
+77414400*(-4835860+123412*n-916*n^2)*p3^2*p2*p1^4+58060800*(20661939-524610*n+
3942*n^2)*p3*p2^4*p1+77414400*(-4689849+123012*n-936*n^2)*p3*p2^3*p1^3+
522547200*(-115836000+2629675*n-18175*n^2)*p4^2*p2*p1^2+464486400*(471231940-\
10226240*n+70160*n^2)*p4*p3^2*p2+464486400*(-110664460+2505820*n-17420*n^2)*p4*
p3^2*p1^2+46448640*(-5129425+128140*n-920*n^2)*p4*p3*p1^5+174182400*(22539480-\
565740*n+4140*n^2)*p4*p2^3*p1^2+87091200*(-4993000+129435*n-955*n^2)*p4*p2^2*p1
^4+61440*(33891-834*n+6*n^2)*p3*p1^9+10430042112000*p4*p3*p2^3*p1-2440876032000
*p4*p3*p2^2*p1^3+104509440000*p4*p3*p2*p1^5+20929757184000*p4*p3^2*p2*p1^2-\
137116385280000*p4^2*p3*p2*p1-2030177157120*p5*p3*p2*p1^4-150126463549440*p5*p3
^2*p2*p1+26886516572160*p5*p3*p2^2*p1^2+27848282112000*p5*p4*p2*p1^3+
964301635584000*p5*p4*p3*p2-237261511065600*p5*p4*p3*p1^2-176234268672000*p5*p4
*p2^2*p1-204526367539200*p6*p3*p2^2*p1+32305958092800*p6*p3*p2*p1^3-\
323059580928000*p6*p4*p2*p1^2+2303040250183680*p6*p5*p2*p1+1791654100992000*p6*
p4*p3*p1-390366049075200*p7*p3*p2*p1^2+2542266777600000*p7*p4*p2*p1+
3165917007052800*p8*p3*p2*p1+5573836800*(-8824633312480+10560717931573/12*n-\
760122788279/24*n^2+13566825995/24*n^3-17974255/3*n^4+884555/24*n^5-2465/24*n^6
)*p4*p3*p1+4180377600*(1657154185212-974298158137/6*n+146102580865/24*n^2-\
1893943305/16*n^3+64660255/48*n^4-419005/48*n^5+405/16*n^6)*p4*p2*p1^2+
2786918400*(1712363595508-1856419666759/12*n+131196420977/24*n^2-2505592487/24*
n^3+14377843/12*n^4-190619/24*n^5+569/24*n^6)*p3*p2^2*p1+1857945600*(-\
333024700410+125930632647/4*n-28358758667/24*n^2+570670331/24*n^3-850967/3*n^4+
46363/24*n^5-47/8*n^6)*p3*p2*p1^3+11147673600*(-105186882887783+361850019735393
/20*n-28175666987891/24*n^2+1868785145875/48*n^3-24601675415/32*n^4+796314723/
80*n^5-2051693/24*n^6+5405/12*n^7-107/96*n^8)*p3*p2*p1+6688604160*(-\
7834042975368+9760418502869/12*n-186480801355/6*n^2+28429350017/48*n^3-\
310741763/48*n^4+1917419/48*n^5-5285/48*n^6)*p5*p2*p1+928972800*(-10420417587+
1665332695/3*n-43449285/4*n^2+618865/6*n^3-1605/4*n^4)*p4*p3*p1^3+1045094400*(-\
9626154292+6121551815/12*n-82306495/8*n^2+1201825/12*n^3-3185/8*n^4)*p4*p2^2*p1
^2+348364800*(2004245692-447878375/4*n+18848765/8*n^2-93905/4*n^3+755/8*n^4)*p4
*p2*p1^4+928972800*(-9638200332+494818533*n-19621929/2*n^2+95333*n^3-763/2*n^4)
*p3^2*p2*p1^2+464486400*(-8881859121+456880512*n-37042323/4*n^2+183909/2*n^3-\
1503/4*n^4)*p3*p2^3*p1+464486400*(1893687141-307486618/3*n+8640921/4*n^2-131965
/6*n^3+365/4*n^4)*p3*p2^2*p1^3+92897280*(-392334837+22077490*n-1918719/4*n^2+
9929/2*n^3-83/4*n^4)*p3*p2*p1^5+1672151040*(48148245215-10157758805/4*n+
395628649/8*n^2-1844219/4*n^3+14007/8*n^4)*p5*p2^2*p1+1114767360*(-10022502399+
6779623121/12*n-92974931/8*n^2+1338775/12*n^3-3437/8*n^4)*p5*p2*p1^3+2654208*(
1052051-54985/2*n+385/2*n^2)*p5*p1^7+668860416*(-2796403540+54645318*n-349566*n
^2)*p5^2*p2+3344302080*(-3187838368+94395730*n-559130*n^2)*p10*p1^2+2477260800*
(14689860900-329572815*n+1954095*n^2)*p9*p3+1238630400*(666595215-38693655/2*n+
238095/2*n^2)*p9*p1^3+2090188800*(15629671200-304210335*n+1816815*n^2)*p8*p4+
1045094400*(-2748045300+66942018*n-419562*n^2)*p8*p2^2+348364800*(-137566572+
3896178*n-24882*n^2)*p8*p1^4+1911029760*(16380588840-291380166*n+1746822*n^2)*
p7*p5+79626240*(27862230-768306*n+5082*n^2)*p7*p1^5+619315200*(-2606015160+
53073216*n-340704*n^2)*p6*p3^2+3344302080*(14195386920-377009204*n+2207348*n^2)
*p10*p2+66886041600/11*(15118306346-453760736*n+2586584*n^2)*p11*p1+207360*(
38068-1024*n+8*n^2)*p2^2*p1^8+87091200*(25913300-610650*n+4250*n^2)*p4^2*p1^4+
43545600*(-97084440+2338875*n-16875*n^2)*p4*p2^4+414720*(-193240+4915*n-35*n^2)
*p4*p1^8+68812800*(22827780-549576*n+3960*n^2)*p3^3*p1^3+77414400*(-93399780+
2226852*n-16164*n^2)*p3^2*p2^3+5160960*(1005420-25968*n+192*n^2)*p3^2*p1^6+
668860416*(659600956-13541710*n+87710*n^2)*p5^2*p1^2-41566464324403200*p11*p2*
p1-26883194565427200*p10*p3*p1+4877999013888000*p10*p2*p1^2-20716883066880000*
p9*p4*p1-12885781708800000*p9*p3*p2+3204175822848000*p9*p3*p1^2+
2367928442880000*p9*p2^2*p1-378602864640000*p9*p2*p1^3-17801109636710400*p8*p5*
p1-10110190970880000*p8*p4*p2+185794560*(64866542160-25275123301/4*n+1985456475
/8*n^2-41804557/8*n^3+257461/4*n^4-3577/8*n^5+11/8*n^6)*p3*p1^5+696729600*(-\
325299470664+59156655293/2*n-8723516643/8*n^2+353080193/16*n^3-4285533/16*n^4+
29847/16*n^5-93/16*n^6)*p2^3*p1^2+348364800*(64125142864-18134496847/3*n+
5601900671/24*n^2-236587627/48*n^3+2967487/48*n^4-21157/48*n^5+67/48*n^6)*p2^2*
p1^4+13377208320*(318472618771780-540840335158807/8*n+511640434201355/96*n^2-\
19853036356087/96*n^3+1710488651317/384*n^4-460983263/8*n^5+89894065/192*n^6-\
218465/96*n^7+1981/384*n^8)*p5*p1+8360755200*(431386741245834-254925028028045/3
*n+144673344462871/24*n^2-4947966924497/24*n^3+127357088517/32*n^4-2357708705/
48*n^5+4779335/12*n^6-95005/48*n^7+445/96*n^8)*p4*p2+8360755200*(-\
85449375480990+47569736647634/3*n-81114847746445/72*n^2+491276669843/12*n^3-\
248806546507/288*n^4+548353543/48*n^5-3498065/36*n^6+23965/48*n^7-115/96*n^8)*
p4*p1^2+3715891200*(20448019407747-68287604673801/20*n+5400839019253/24*n^2-\
377768087581/48*n^3+15976062625/96*n^4-547291463/240*n^5+61304/3*n^6-1333/12*n^
7+9/32*n^8)*p3*p1^3+4180377600*(22308522777772-70450491996511/20*n+
31629014821997/144*n^2-117644197909/16*n^3+87717669851/576*n^4-502554443/240*n^
5+5499817/288*n^6-2551/24*n^7+53/192*n^8)*p2^2*p1^2+1393459200*(-4336611688208+
13516138760111/20*n-686991030785/16*n^2+71985273397/48*n^3-6278310089/192*n^4+
37682331/80*n^5-142725/32*n^6+613/24*n^7-13/192*n^8)*p2*p1^4+22295347200*(
1244212411801601-10924603493516041/24*n+29454877262917813/480*n^2-\
653825347190319/160*n^3+58739544066803/384*n^4-337339733225/96*n^5+51222498979/
960*n^6-90083231/160*n^7+524473/128*n^8-603/32*n^9+1/24*n^10)*p3*p1+16721510400
*(-387586510802792+585515347348424/5*n-4868825354198443/360*n^2+116284124728721
/144*n^3-686150772199/24*n^4+236291439827/360*n^5-1664839807/160*n^6+16843343/
144*n^7-131105/144*n^8+107/24*n^9-1/96*n^10)*p2*p1^2+928972800*(-258657800100+
35252072065/3*n-406623675/2*n^2+5341625/3*n^3-13185/2*n^4)*p4*p3^2+348364800*(
45011398644-8958457395/4*n+344672385/8*n^2-1629165/4*n^3+12735/8*n^4)*p4*p2^3+
23224320*(-405237420+281521075/12*n-4072635/8*n^2+61565/12*n^3-165/8*n^4)*p4*p1
^6+464486400*(44767011420-6481078729/3*n+82044411/2*n^2-1162493/3*n^3+3049/2*n^
4)*p3^2*p2^2+154828800*(2016863692-109263855*n+4501471/2*n^2-22363*n^3+181/2*n^
4)*p3^2*p1^4+4423680*(78484945-4506144*n+396725/4*n^2-2051/2*n^3+17/4*n^4)*p3*
p1^7+87091200*(1776328908-384614325/4*n+16494975/8*n^2-85815/4*n^3+729/8*n^4)*
p2^4*p1^2+58060800*(-375302004+84534663/4*n-3741789/8*n^2+19869/4*n^3-171/8*n^4
)*p2^3*p1^4+11612160*(76822980-53230915/12*n+800259/8*n^2-12857/12*n^3+37/8*n^4
)*p2^2*p1^6+829440*(-15068604+3490547/4*n-156561/8*n^2+825/4*n^3-7/8*n^4)*p2*p1
^8+9555148800*(28092715116928-7071131801701/2*n+639983953081/4*n^2-6776297715/2
*n^3+148676495/4*n^4-216876*n^5+550*n^6)*p7*p1+5573836800*(35375454782976-\
3963193194954*n+625606438429/4*n^2-23607513377/8*n^3+249349555/8*n^4-1468159/8*
n^5+3843/8*n^6)*p6*p2+5573836800*(-6600426783720+761136429165*n-130246783947/4*
n^2+5423751417/8*n^3-60806655/8*n^4+369999/8*n^5-987/8*n^6)*p6*p1^2+4459069440*
(41884193139360-4502719875479*n+1980102160235/12*n^2-67846167991/24*n^3+
682411751/24*n^4-3984161/24*n^5+3521/8*n^6)*p5*p3+2229534720*(1485106285692-\
637348358343/4*n+78247709933/12*n^2-6455069147/48*n^3+74224609/48*n^4-471697/48
*n^5+441/16*n^6)*p5*p1^3+2090188800*(-8677533704320+2420615519191/3*n-\
224401039909/8*n^2+8187454285/16*n^3-267225595/48*n^4+1680425/48*n^5-4775/48*n^
6)*p4*p2^2+696729600*(-318736199608+96837414946/3*n-30754222427/24*n^2+
1271535775/48*n^3-15081955/48*n^4+100225/48*n^5-295/48*n^6)*p4*p1^4+1857945600*
(-9199688579280+825539542834*n-165380238479/6*n^2+5882692003/12*n^3-63403979/12
*n^4+399365/12*n^5-381/4*n^6)*p3^2*p2+1857945600*(1756113098784-167129033116*n+
12088984375/2*n^2-455554201/4*n^3+5119601/4*n^4-33207/4*n^5+97/4*n^6)*p3^2*p1^2
+8709120*(-4526928+121365*n-945*n^2)*p2^5*p1^2+7257600*(998460-27432*n+216*n^2)
*p2^4*p1^4+1935360*(-205824+5697*n-45*n^2)*p2^3*p1^6+9216*(-5680+133*n-n^2)*p2*
p1^10+4180377600*(-220547089620+58738384419/4*n-2603774745/8*n^2+11763609/4*n^3
-80223/8*n^4)*p8*p1^2+3185049600*(1279691144424-70599586420*n+1237950252*n^2-\
10352804*n^3+35244*n^4)*p7*p3+1592524800*(47213239986-3007931971*n+65839719*n^2
-611270*n^3+2178*n^4)*p7*p1^3+1393459200*(-236302051272+25075679405/2*n-\
950811183/4*n^2+4256539/2*n^3-30849/4*n^4)*p6*p2^2+464486400*(-9918860952+
1214878329/2*n-52669491/4*n^2+251223/2*n^3-1869/4*n^4)*p6*p1^4+111476736*(
2034011595-482031357/4*n+20819337/8*n^2-102067/4*n^3+791/8*n^4)*p5*p1^5+
1045094400*(-259800968700+49473339535/4*n-1714361765/8*n^2+7483925/4*n^3-55075/
8*n^4)*p4^2*p2+1045094400*(54558947900-34130336275/12*n+413839075/8*n^2-5586425
/12*n^3+13925/8*n^4)*p4^2*p1^2+261273600*(494447820-10738250*n+73250*n^2)*p4^2*
p2^2-791175168000*p4*p3^2*p1^4-906854400*p4*p3*p1^7+10845757440000*p4^2*p3*p1^3
+12279859200000*p4^2*p2^2*p1^2-927521280000*p4^2*p2*p1^4+11871529205760*p5*p3^2
*p1^3-36906045603840*p5*p3*p2^3+27311800320*p5*p3*p1^6+3351304212480*p5*p2^4*p1
-1044676362240*p5*p2^3*p1^3+67011452928*p5*p2^2*p1^5-1161216000*p5*p2*p1^7+
12387852288000*p6*p4*p1^4+559657805414400*p6*p3^2*p2-137651473612800*p6*p3^2*p1
^2-702303436800*p6*p3*p1^5+12202522214400*p6*p2^3*p1^2-1380221337600*p6*p2^2*p1
^4+37066014720*p6*p2*p1^6+845136349102080*p5^2*p3*p1-152399845785600*p5^2*p2*p1
^2+771875371008000*p5*p4^2*p1-605736714240*p5*p4*p1^5-285147736473600*p8*p2^2*
p1^2+21819480883200*p8*p2*p1^4-16589611125964800*p7*p6*p1-8888111506391040*p7*
p5*p2+2211653851545600*p7*p5*p1^2-6910761369600000*p7*p4*p3-203644108800000*p7*
p4*p1^3+1082738501222400*p7*p3^2*p1+794501067571200*p7*p3*p2^2+14960177971200*
p7*p3*p1^4-96724382515200*p7*p2^3*p1+22886970163200*p7*p2^2*p1^3-993257717760*
p7*p2*p1^5-6259864633344000*p6*p5*p3-184518522961920*p6*p5*p1^3+657238966272000
*p6*p4*p2^2-119140761600*p3*p2^5*p1+45984153600*p3*p2^4*p1^3-3901685760*p3*p2^3
*p1^5+101744640*p3*p2^2*p1^7-737280*p3*p2*p1^9+4442554368000*p3^3*p2^2*p1-\
693633024000*p3^3*p2*p1^3-791484825600*p3^2*p2^3*p1^2+88562073600*p3^2*p2^2*p1^
4-2353397760*p3^2*p2*p1^6+31104000*p4*p2*p1^8-464413824000*p4*p2^4*p1^2+
69237504000*p4*p2^3*p1^4-2757888000*p4*p2^2*p1^6-38934282240000*p4*p3^3*p1-\
43053244416000*p4*p3^2*p2^2+12710120135121423843655680*n^2+
15963982175955821898240*n^6-227473022800218456253440*n^5-661236303129597538560*
n^7+17169795194426138880*n^8-300609533106167040*n^9+3799298351520000*n^10+
237324245760*n^12-35464663745280*n^11-1028401920*n^13+2177280*n^14+1114767360*(
-116262104+2707979*n-18655*n^2)*p5*p3*p2*p1^2+1672151040*(568082165-24191925/2*
n+160825/2*n^2)*p5*p4*p2*p1+1857945600*(565319118-12700632*n+84000*n^2)*p6*p3*
p2*p1+464486400*(23715715-576590*n+4130*n^2)*p4*p3*p2*p1^3+696729600*(-\
103805785+2427780*n-17200*n^2)*p4*p3*p2^2*p1+232243200*(518716800-12196170*n+
82026*n^2)*p6*p2^3+15482880*(-5502672+147672*n-1008*n^2)*p6*p1^6+2786918400*(
1411213788600-149001971825/2*n+4793143635/4*n^2-19440295/2*n^3+133245/4*n^4)*p6
*p4+4180377600*(1109956396692-269781093725/4*n+10790562783/8*n^2-46801183/4*n^3
+314457/8*n^4)*p8*p2+7431782400*(1015804201555-283964441475/4*n+12739190035/8*n
^2-55989505/4*n^3+365365/8*n^4)*p9*p1+412876800*(49498712488-2367987420*n+
43850237*n^2-405358*n^3+1565*n^4)*p3^3*p1+46448640*(-12611166768+2434211959/2*n
-1165585325/24*n^2+50803507/48*n^3-651863/48*n^4+4709/48*n^5-5/16*n^6)*p2*p1^6+
5573836800*(-71389718400+2153507538*n-11815986*n^2)*p12+2786918400*(49650390031
-2465620245*n+184363255/4*n^2-851825/2*n^3+6535/4*n^4)*p4*p3*p2*p1+8360755200*(
-114259244299200+16026850187634*n-6219924167743/8*n^2+268756405775/16*n^3-\
2889096067/16*n^4+16185169/16*n^5-39039/16*n^6)*p8+1393459200*(-116307829146852
+373094291131297/20*n-18034556810771/16*n^2+569082845577/16*n^3-44373401689/64*
n^4+723918287/80*n^5-2531787/32*n^6+426*n^7-69/64*n^8)*p2^3+3715891200*(
476859928788276-92858222627630*n+77228515047089/12*n^2-2541189933139/12*n^3+
187409138225/48*n^4-562829935/12*n^5+9051691/24*n^6-11279/6*n^7+71/16*n^8)*p3^2
-253464654643200*p8*p3*p1^3+2515218241536000*p8*p4*p1^2+11147673600*(-\
1054713930570300+264173524687842*n-95470968919403/4*n^2+2031309614663/2*n^3-\
363070018157/16*n^4+579594323/2*n^5-18094321/8*n^6+10423*n^7-357/16*n^8)*p6+
1658880*(2464896672-240567622*n+78105497/8*n^2-3452769/16*n^3+44493/16*n^4-319/
16*n^5+1/16*n^6)*p1^8+8360755200*(1549394949229044-3287508929128067/6*n+
12597774096825907/180*n^2-6237812655993923/1440*n^3+896728420331/6*n^4-\
3712276649579/1152*n^5+18364967825/384*n^6-1460542499/2880*n^7+2165785/576*n^8-\
20395/1152*n^9+77/1920*n^10)*p2^2+16721510400*(-3078723250002400+
1411750204140768*n-2103020916652937/9*n^2+1327406165019283/72*n^3-\
74452786402453/96*n^4+10776810007861/576*n^5-17926104023/64*n^6+810527723/288*n
^7-691825/36*n^8+47645/576*n^9-11/64*n^10)*p4+92897280*(850986066600-\
524199990553/4*n+404155782185/48*n^2-14534371801/48*n^3+1316721431/192*n^4-\
4918819/48*n^5+95905/96*n^6-35/6*n^7+1/64*n^8)*p1^6+33443020800*(-\
1777132918984500+34259937965315553/20*n-54133444939276751/96*n^2+
492898626924460613/5760*n^3-78554372433783767/11520*n^4+1423187627991763/4608*n
^5-78540367050535/9216*n^6+715963309883/4608*n^7-18634763155/9216*n^8+444739109
/23040*n^9-134637/1024*n^10+13313/23040*n^11-19/15360*n^12)*p2+33443020800*(
908543138926500-2584115229418543/4*n+15642177606737329/96*n^2-23002231590457111
/1152*n^3+1754779056244793/1280*n^4-1329909621515209/23040*n^5+73632175761413/
46080*n^6-141946057925/4608*n^7+19836358457/46080*n^8-101378531/23040*n^9+
1464527/46080*n^10-75/512*n^11+1/3072*n^12)*p1^2+2786918400*(90074179952828-\
732406228034861/30*n+158446843851583/60*n^2-73946820081881/480*n^3+33208740581/
6*n^4-84828504727/640*n^5+4258889069/1920*n^6-25236793/960*n^7+41099/192*n^8-\
139/128*n^9+1/384*n^10)*p1^4+17418240*(-8191866060+1688899851/4*n-69684921/8*n^
2+352881/4*n^3-2943/8*n^4)*p2^5+6688604160*(-4629920695400+2048411235299/6*n-\
30882774923/4*n^2+395764369/6*n^3-824109/4*n^4)*p10+174182400*(-2549660400+
49079625*n-317625*n^2)*p4^3+928972800*(16658644464-287429688*n+1725192*n^2)*p6^
2+382610230345728000*p13*p1-209018880*p6*p1^8+2090188800*(44281506280000-\
14156993932910/3*n+1355953203445/8*n^2-44952520965/16*n^3+1330302755/48*n^4-\
7731025/48*n^5+20575/48*n^6)*p4^2+18432*(2768860-618717/4*n+26167/8*n^2-127/4*n
^3+1/8*n^4)*p1^10+1337720832*(1458793916580-228242112154/3*n+1188582304*n^2-\
28594874/3*n^3+32732*n^4)*p5^2+1451520*(19577700-507384*n+3888*n^2)*p2^6+
34406400*(450016800-9738240*n+67200*n^2)*p3^4+174182400*(1648173042144-\
142594499172*n+39739897185/8*n^2-1531533825/16*n^3+17887437/16*n^4-121023/16*n^
5+369/16*n^6)*p2^4+175955337157017600*p12*p2-9821038014627840*p10*p2^2+
85283682759475200*p10*p4+3370253864140800*p11*p1^3+112341795471360000*p11*p3-\
44234581966848000*p12*p1^2-189699961651200*p10*p1^4+65530177929216000*p8*p6+
8369115955200*p9*p1^5+71952079572172800*p9*p5+1061882796441600*p6^2*p1^2-\
2858228674560000*p6*p4^2-4267195681996800*p6^2*p2+387370509926400*p8*p2^3-\
4304116776960000*p8*p3^2-298896998400*p8*p1^6+8758886400*p7*p1^7-1244160*p2^3*
p1^8+136853795635200*p5*p3^3+5844725268480*p5^2*p1^4+310010783072256*p5^2*p2^2-\
2696330174791680*p5^2*p4-12575620915200*p6*p2^4+9216*p2^2*p1^10+13271040*p3^2*
p1^8+3527193600*p2^6*p1^2+823534387200*p3^2*p2^4+52254720*p2^4*p1^6-783820800*
p2^5*p1^4-46080*p4*p1^10+386815564800*p4*p2^5+14863564800*p3^3*p1^5+
1486356480000*p3^4*p1^2-6110576640000*p3^4*p2+187466711040000*p4^2*p3^2-\
36121075200000*p4^3*p1^2+12483072000*p4^2*p1^6-16852147200000*p4^2*p2^3+
146770444800000*p4^3*p2+3870720*p5*p1^9+31799382324019200*p7^2-2116316160*p2^7-\
1639758130053120000*p14+1798031749681449833564160*n^4-7224554335084547165429760
*n^3
[3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
182413364923182124892160000*n+18166579200*(45234400-1086780*n+7900*n^2)*p3^3*p2
*p1+40874803200*(-194372400+4346510*n-30350*n^2)*p4*p3^2*p2+40874803200*(
53310800-1256470*n+8950*n^2)*p4*p3^2*p1^2+4087480320*(3414740-91645*n+685*n^2)*
p4*p3*p1^5+15328051200*(-11407230+596295/2*n-4455/2*n^2)*p4*p2^3*p1^2+
7664025600*(3053720-167835/2*n+1275/2*n^2)*p4*p2^2*p1^4+1021870080*(-802170+
46195/2*n-355/2*n^2)*p4*p2*p1^6+49049763840*(67353720-1574005*n+10885*n^2)*p5*
p4*p1^3+65399685120*(-234194240+5187612*n-35420*n^2)*p5*p3^2*p1+49049763840*(-\
206010840+4717530*n-32634*n^2)*p5*p3*p2^2+16349921280*(-15078056+388098*n-2786*
n^2)*p5*p3*p1^4+24524881920*(49525560-1241811*n+8883*n^2)*p5*p2^3*p1+
24524881920*(-13324584+354519*n-2583*n^2)*p5*p2^2*p1^3+4904976384*(3521560-\
99375*n+735*n^2)*p5*p2*p1^5+61312204800*(-231869060+5032475*n-34475*n^2)*p4^2*
p3*p1+45984153600*(55960610-2645125/2*n+18725/2*n^2)*p4^2*p2*p1^2+61312204800*(
58112292-1508913*n+10521*n^2)*p6*p2^2*p1^2+20437401600*(-15407280+429345*n-3045
*n^2)*p6*p2*p1^4+98099527680*(1024515240-20591470*n+135310*n^2)*p5*p4*p3+
245248819200*(1282826220-30289545*n+190905*n^2)*p8*p3*p1+183936614400*(-\
290975958+16042455/2*n-104247/2*n^2)*p8*p2*p1^2+210213273600*(1341857880-\
28125570*n+178530*n^2)*p7*p4*p1+140142182400*(1081560720-24295700*n+156948*n^2)
*p7*p3*p2+140142182400*(-292632384+7077444*n-46596*n^2)*p7*p3*p1^2+105106636800
*(-252743208+6443382*n-42966*n^2)*p7*p2^2*p1+70071091200*(67089792-1856558*n+
12606*n^2)*p7*p2*p1^3+196199055360*(1381698864-27193950*n+173166*n^2)*p6*p5*p1+
122624409600*(1100194200-22789095*n+148155*n^2)*p6*p4*p2+122624409600*(-\
301042140+6638835*n-43995*n^2)*p6*p4*p1^2+54499737600*(66532032-1654926*n+11382
*n^2)*p6*p3*p1^3+326998425600*(1258963420-34595535*n+215215*n^2)*p9*p2*p1+
6055526400*(-12300000+310460*n-2300*n^2)*p3^3*p1^3+6812467200*(40260240-988794*
n+7290*n^2)*p3^2*p2^3+454164480*(-779280+21962*n-170*n^2)*p3^2*p1^6+54499737600
*(1031859360-21650244*n+141540*n^2)*p6*p3^2+20437401600*(-215373816+5222637*n-\
35721*n^2)*p6*p2^3+147149291520*(-19378282840+1060208589*n-42599721/2*n^2+
203595*n^3-1575/2*n^4)*p5*p2^2*p1+1362493440*(4001004-119805*n+861*n^2)*p6*p1^6
+98099527680*(4591383216-273056252*n+5875421*n^2-58424*n^3+231*n^4)*p5*p2*p1^3+
58859716608*(1110114600-22341690*n+145530*n^2)*p5^2*p2+58859716608*(-304856832+
6508530*n-43218*n^2)*p5^2*p1^2+7007109120*(-17438520+526350*n-3630*n^2)*p7*p1^5
+30656102400*(75558912-4608747/2*n+30459/2*n^2)*p8*p1^4+168170618880*(-\
6242636400+114263380*n-697620*n^2)*p7*p5+81749606400*(4776103500-268151845*n+
5469860*n^2-53790*n^3+215*n^4)*p4*p3*p1^3+535088332800*(-6080185592+189080970*n
-1100138*n^2)*p11*p1+294298583040*(-5443981400+148886595*n-887315*n^2)*p10*p2+
420426547200*(90844050864-5556434108*n+115342611*n^2-1058970*n^3+3795*n^4)*p7*
p2*p1+294298583040*(1407344796-43672915*n+264979*n^2)*p10*p1^2+217998950400*(-\
5609586840+129569570*n-782210*n^2)*p9*p3+108999475200*(-326245920+10050755*n-\
63635*n^2)*p9*p1^3+183936614400*(-5959762380+238774965/2*n-1452165/2*n^2)*p8*p4
+91968307200*(1096240860-55084887/2*n+351351/2*n^2)*p8*p2^2+5406720*(-46356+
1403*n-11*n^2)*p3*p1^9+2043740160*(-705100+20175*n-159*n^2)*p3*p2^2*p1^5+
194641920*(183304-5427*n+43*n^2)*p3*p2*p1^7+6812467200*(2952880-79746*n+610*n^2
)*p3^2*p2*p1^4+5109350400*(-9832644+258147*n-1971*n^2)*p3*p2^4*p1+6812467200*(
2655504-72927*n+567*n^2)*p3*p2^3*p1^3+20437401600*(-10986160+283218*n-2130*n^2)
*p3^2*p2^2*p1^2+13624934400*(-1018732016+58675586*n-1270553*n^2+13166*n^3-55*n^
4)*p3^2*p1^4-132566796730368000*p8*p3*p2*p1+389283840*(-52893092+3368461*n-\
81497*n^2+912*n^3-4*n^4)*p3*p1^7+7664025600*(-813667392+45964440*n-4085613/4*n^
2+21861/2*n^3-189/4*n^4)*p2^4*p1^2+5109350400*(199302198-23807763/2*n+276912*n^
2-3060*n^3+27/2*n^4)*p2^3*p1^4+1021870080*(-48436860+3039009*n-294827/4*n^2+
1675/2*n^3-15/4*n^4)*p2^2*p1^6+840853094400*(-9780609174336+1268566730294*n-\
118457044625/2*n^2+5164556415/4*n^3-58006971/4*n^4+345345/4*n^5-891/4*n^6)*p7*
p1+490497638400*(-12018344129792+1378189705900*n-222917188305/4*n^2+8611369809/
8*n^3-92834441/8*n^4+556255/8*n^5-1477/8*n^6)*p6*p2+392398110720*(-\
14203850964160+4685646983486/3*n-117185871447/2*n^2+4107040361/4*n^3-126516167/
12*n^4+752005/12*n^5-2023/12*n^6)*p5*p3+196199055360*(-584290277584+
197461743494/3*n-11315553365/4*n^2+487951879/8*n^3-17452201/24*n^4+114347/24*n^
5-329/24*n^6)*p5*p1^3+653996851200*(-378693451136+27373035300*n-1267072495/2*n^
2+5698615*n^3-37895/2*n^4)*p9*p1+367873228800*(-399097937238+49821761847/2*n-\
1022247369/2*n^2+4523805*n^3-15444*n^4)*p8*p2+367873228800*(88557597648-\
6163263028*n+569000991/4*n^2-2645071/2*n^3+18447/4*n^4)*p8*p1^2+280284364800*(-\
458694844608+25972450656*n-466913282*n^2+3986180*n^3-13794*n^4)*p7*p3+
140142182400*(-20587142136+1385590734*n-31880288*n^2+306548*n^3-1122*n^4)*p7*p1
^3+245248819200*(-505415242332+27374248755*n-451152870*n^2+3737055*n^3-13020*n^
4)*p6*p4+122624409600*(87934777812-4806431469*n+93570036*n^2-855645*n^3+3150*n^
4)*p6*p2^2+40874803200*(4740667260-310101771*n+7134141*n^2-71043*n^3+273*n^4)*
p6*p1^4+980995276800*(35440829006324-18823807770700/3*n+15114355638565/36*n^2-\
344417669221/24*n^3+10486540693/36*n^4-92795321/24*n^5+2444915/72*n^6-2189/12*n
^7+11/24*n^8)*p3*p2*p1+91968307200*(4218136664-233478010*n+19530715/4*n^2-97895
/2*n^3+795/4*n^4)*p4*p2^2*p1^2+30656102400*(-1011805298+361011575/6*n-1334225*n
^2+41600/3*n^3-115/2*n^4)*p4*p2*p1^4+9809952768*(-1076926200+206844289/3*n-\
3192571/2*n^2+49487/3*n^3-133/2*n^4)*p5*p1^5+81749606400*(4219301488-678093572/
3*n+4642614*n^2-139384/3*n^3+190*n^4)*p3^2*p2*p1^2+40874803200*(3722130276-\
198570474*n+8299935/2*n^2-42237*n^3+351/2*n^4)*p3*p2^3*p1+91968307200*(
96354157410-28337072575/6*n+167862275/2*n^2-2246125/3*n^3+2800*n^4)*p4^2*p2+
81749606400*(95697297360-4474918890*n+79415405*n^2-710710*n^3+2675*n^4)*p4*p3^2
+30656102400*(-17378728662+1783817235/2*n-35236215/2*n^2+170145*n^3-675*n^4)*p4
*p2^3+2043740160*(240530556-15235325*n+1433765/4*n^2-7705/2*n^3+65/4*n^4)*p4*p1
^6+40874803200*(-909844116+51800427*n-1138922*n^2+12002*n^3-51*n^4)*p3*p2^2*p1^
3+36333158400*(-19854420320+983636520*n-18762884*n^2+177880*n^3-700*n^4)*p3^3*
p1+8174960640*(220267252-39952424/3*n+615297/2*n^2-10045/3*n^3+29/2*n^4)*p3*p2*
p1^5+588597166080*(2816413793596-906811235008/3*n+47734412949/4*n^2-5619005293/
24*n^3+20990467/8*n^4-132305/8*n^5+371/8*n^6)*p5*p2*p1+490497638400*(
3168972914760-979912247920/3*n+145646729005/12*n^2-1781418165/8*n^3+58060555/24
*n^4-364945/24*n^5+345/8*n^6)*p4*p3*p1+40874803200*(-17248926384+858288630*n-\
16730387*n^2+161474*n^3-645*n^4)*p3^2*p2^2+367873228800*(-635233612992+
129803962435/2*n-60780762631/24*n^2+2447354585/48*n^3-9567415/16*n^4+190855/48*
n^5-565/48*n^6)*p4*p2*p1^2+170311680*(167670-10017/2*n+81/2*n^2)*p2^3*p1^6+
245248819200*(-637867186008+179018507080/3*n-8717136725/4*n^2+1028497237/24*n^3
-4037347/8*n^4+27353/8*n^5-83/8*n^6)*p3*p2^2*p1+18247680*(-42844+2613/2*n-21/2*
n^2)*p2^2*p1^8+811008*(10570-645/2*n+5/2*n^2)*p2*p1^10+163499212800*(
137086843556-40854353821/3*n+2142401415/4*n^2-89825855/8*n^3+3332909/24*n^4-\
23419/24*n^5+73/24*n^6)*p3*p2*p1^3+326998425600*(101293734696-5675948628*n+
105660849*n^2-942564*n^3+3423*n^4)*p6*p3*p1+245248819200*(-20537254416+
1234775360*n-52031595/2*n^2+248248*n^3-1869/2*n^4)*p6*p2*p1^2+294298583040*(
108278377256-17537215625/3*n+204900295/2*n^2-2687995/3*n^3+6545/2*n^4)*p5*p4*p1
+196199055360*(93588229392-4711684148*n+85872461*n^2-772070*n^3+2877*n^4)*p5*p3
*p2+196199055360*(-22145279352+3704761258/3*n-23959412*n^2+672116/3*n^3-854*n^4
)*p5*p3*p1^2+766402560*(2394306-133245/2*n+1053/2*n^2)*p2^5*p1^2+638668800*(-\
639792+37017/2*n-297/2*n^2)*p2^4*p1^4+233570304*(-910952+27195*n-203*n^2)*p5*p1
^7+22992076800*(-204489460+9152325/2*n-63525/2*n^2)*p4^2*p2^2+7664025600*(-\
15082400+753025/2*n-5425/2*n^2)*p4^2*p1^4+3832012800*(41948820-2082375/2*n+
15255/2*n^2)*p4*p2^4+1961990553600*(-389202499275772+870973496968361/6*n-\
3603034317962909/180*n^2+393804878754539/288*n^3-15145082693167/288*n^4+
1428476052845/1152*n^5-111008352509/5760*n^6+119634205/576*n^7-887497/576*n^8+
2767/384*n^9-31/1920*n^10)*p3*p1+1471492915200*(124690945102414-\
2322006163106933/60*n+1659290104287023/360*n^2-273201693039991/960*n^3+
6005760092887/576*n^4-2849085979679/11520*n^5+46524497363/11520*n^6-268676959/
5760*n^7+428731/1152*n^8-4291/2304*n^9+17/3840*n^10)*p2*p1^2+183936614400*(
3033232441680-869128165502/3*n+82776158851/8*n^2-9285838645/48*n^3+34412775/16*
n^4-220385/16*n^5+635/16*n^6)*p4*p2^2+61312204800*(134921349648-43419919987/3*n
+14599044017/24*n^2-211856995/16*n^3+7874705/48*n^4-54335/48*n^5+55/16*n^6)*p4*
p1^4+5965677527040000*p4^2*p3*p2*p1+163499212800*(3210841556840-887505437728/3*
n+20287758739/2*n^2-739344849/4*n^3+24430855/12*n^4-156749/12*n^5+455/12*n^6)*
p3^2*p2+126352191651840*p5*p3*p2*p1^4-1322577832181760*p5*p3*p2^2*p1^2-\
7684463001600*p4*p3*p2*p1^5+136726216704000*p4*p3*p2^2*p1^3-474556465152000*p4*
p3*p2^3*p1-1025957560320000*p4*p3^2*p2*p1^2+6537352524595200*p5*p3^2*p2*p1-\
1493565308928000*p5*p4*p2*p1^3+7694436453580800*p5*p4*p2^2*p1+11110752505036800
*p5*p4*p3*p1^2-37658446685798400*p5*p4*p3*p2+16349921280*(-29775815520+
9295310146/3*n-1558009487/12*n^2+69611201/24*n^3-903629/24*n^4+6575/24*n^5-7/8*
n^6)*p3*p1^5-1735053646233600*p6*p3*p2*p1^3+61312204800*(129971231160-\
24654376281/2*n+3781254399/8*n^2-158472081/16*n^3+1983501/16*n^4-14175/16*n^5+
45/16*n^6)*p2^3*p1^2+30656102400*(-28532939952+8541855073/3*n-928293913/8*n^2+
123468899/48*n^3-539177/16*n^4+3991/16*n^5-13/16*n^6)*p2^2*p1^4+4087480320*(
6321756296-3943003661/6*n+225690263/8*n^2-10538237/16*n^3+432307/48*n^4-3305/48
*n^5+11/48*n^6)*p2*p1^6+8940790952755200*p6*p3*p2^2*p1+15193164349440000*p6*p4*
p2*p1^2+1177194332160*(-104526347088592+341262685913771/15*n-16597940531537/9*n
^2+884058241849/12*n^3-117426719077/72*n^4+431957467/20*n^5-1612331/9*n^6+5321/
6*n^7-49/24*n^8)*p5*p1+735746457600*(-139622561607100+112190725100459/4*n-\
292664231147237/144*n^2+213209900255/3*n^3-807694487441/576*n^4+847594879/48*n^
5-41989015/288*n^6+11775/16*n^7-335/192*n^8)*p4*p2-74575260942336000*p6*p4*p3*
p1+735746457600*(29235111850880-33667406521541/6*n+9924947501489/24*n^2-\
748665375491/48*n^3+340668997*n^4-222692473/48*n^5+1943845/48*n^6-2555/12*n^7+
25/48*n^8)*p4*p1^2+326998425600*(-7356022704144+2561505718525/2*n-705866389235/
8*n^2+19347624863/6*n^3-6816520249/96*n^4+24200315/24*n^5-447899/48*n^6+1253/24
*n^7-13/96*n^8)*p3*p1^3-96214447156101120*p6*p5*p2*p1+367873228800*(-\
7897247160064+12939981140611/10*n-2012027398277/24*n^2+139777380989/48*n^3-\
2993962319/48*n^4+212206331/240*n^5-132619/16*n^6+189/4*n^7-1/8*n^8)*p2^2*p1^2+
18387775468339200*p7*p3*p2*p1^2-106275422601216000*p7*p4*p2*p1+122624409600*(
1652969727548-16232712215057/60*n+2604536470105/144*n^2-15941010313/24*n^3+
8742530401/576*n^4-54787517/240*n^5+647891/288*n^6-641/48*n^7+7/192*n^8)*p2*p1^
4-634812943564800*p5*p3^2*p1^3+1507985939496960*p5*p3*p2^3-2350028685312*p5*p3*
p1^6-152961688535040*p5*p2^4*p1+58712567316480*p5*p2^3*p1^3-4944216195072*p5*p2
^2*p1^5+127529385984*p5*p2*p1^7-579400335360000*p4^2*p3*p1^3-603542016000000*p4
^2*p2^2*p1^2+57671792640000*p4^2*p2*p1^4-3204584570880*p6*p2*p1^6-\
35163265579352064*p5^2*p3*p1+7164169266659328*p5^2*p2*p1^2+86266272153600*p6*p2
^2*p1^4+9421478638387200*p6*p5*p1^3-25764001579008000*p6*p4*p2^2-\
733907091456000*p6*p4*p1^4-21882734641152000*p6*p3^2*p2+6454948921344000*p6*p3^
2*p1^2+49442161950720*p6*p3*p1^5-602576348774400*p6*p2^3*p1^2+
234114130410209280*p6*p5*p3-1234792769126400*p7*p2^2*p1^3+70295318691840*p7*p2*
p1^5+10405557043200000*p7*p4*p1^3-45136994107392000*p7*p3^2*p1-\
31188922977484800*p7*p3*p2^2-887940867686400*p7*p3*p1^4+4245467273625600*p7*p2^
3*p1+333776972163317760*p7*p5*p2-99138597877186560*p7*p5*p1^2+
258612777713664000*p7*p4*p3+661959916860211200*p7*p6*p1-1301995325030400*p8*p2*
p1^4+13493406095769600*p8*p2^2*p1^2+12976115023872000*p8*p3*p1^3-\
112839594835968000*p8*p4*p1^2-144023186571264000*p9*p3*p1^2-99600450453504000*
p9*p2^2*p1+19483656192000000*p9*p2*p1^3+710558030474772480*p8*p5*p1+
379945908486144000*p8*p4*p2-4483454976000*p4*p2^3*p1^4+245248819200*p4*p2^2*p1^
6-4561920000*p4*p2*p1^8-201649029120000*p3^3*p2^2*p1+38755368960000*p3^3*p2*p1^
3+40466055168000*p3^2*p2^3*p1^2-5722472448000*p3^2*p2^2*p1^4+208915660800*p3^2*
p2*p1^6+5628460400640*p3*p2^5*p1-2667080908800*p3*p2^4*p1^3+294298583040*p3*p2^
3*p1^5-11094589440*p3*p2^2*p1^7+151388160*p3*p2*p1^9+1689491865600000*p4*p3^3*
p1+1753529057280000*p4*p3^2*p2^2+49049763840000*p4*p3^2*p1^4+99267379200*p4*p3*
p1^7+23796799488000*p4*p2^4*p1^2-32085903015936000*p5*p4^2*p1+42575195013120*p5
*p4*p1^5+188431275973385416773795840*n^3-47350987436677428271595520*n^4+
6059666849094267739545600*n^5-430754855983530847211520*n^6+56844948508508160000
*p14+18087854495897660221440*n^7-476260682814915102720*n^8+30081300480*n^13-\
63866880*n^14+36495360*(205820-12335/2*n+95/2*n^2)*p4*p1^8+91968307200*(-\
22875294480+1246070100*n-93788685/4*n^2+434525/2*n^3-3325/4*n^4)*p4^2*p1^2+
490497638400*(2433023174400-291922507597*n+52016695787/4*n^2-2247712985/8*n^3+
25955489/8*n^4-161903/8*n^5+441/8*n^6)*p6*p1^2+117719433216*(-522356714880+
27946427768*n-447279693*n^2+3663114*n^3-12789*n^4)*p5^2+2942985830400*(-\
274422483153000+2971658240640461/15*n-2292125397944422/45*n^2+9200437755826831/
1440*n^3-519260475197005/1152*n^4+112630086937349/5760*n^5-12858599977679/23040
*n^6+14177658333/1280*n^7-1220768099/7680*n^8+599237/360*n^9-94379/7680*n^10+
133/2304*n^11-1/7680*n^12)*p1^2+8174960640*(-352244553552+288299389257/5*n-\
23698694663/6*n^2+7274313511/48*n^3-117024937/32*n^4+13944179/240*n^5-4807/8*n^
6+89/24*n^7-1/96*n^8)*p1^6+183936614400*(-15012150479040+1636170938150*n-\
1443446648875/24*n^2+48931971935/48*n^3-492789535/48*n^4+2916025/48*n^5-2625/16
*n^6)*p4^2+1622016*(-2794520+188058*n-19337/4*n^2+113/2*n^3-1/4*n^4)*p1^10+
735746457600*(-481796695477188+173150462283163*n-16215023519225803/720*n^2+
1364895722634443/960*n^3-14427156288997/288*n^4+282418174723/256*n^5-\
192439619971/11520*n^6+115483063/640*n^7-174081/128*n^8+4985/768*n^9-19/1280*n^
10)*p2^2+127733760*(-8820900+470205/2*n-3645/2*n^2)*p2^6+735746457600*(
37896042184000-5420510323514*n+2147665380003/8*n^2-94710846087/16*n^3+
1036680359/16*n^4-5902897/16*n^5+14443/16*n^6)*p8+3027763200*(-185136000+
4128200*n-29000*n^2)*p3^4+1532805120*(3293429490-350397333/2*n+7422543/2*n^2-\
38367*n^3+162*n^4)*p2^5+1471492915200*(944654646162500-438677104711274*n+
1179086776550225/16*n^2-3404559066167975/576*n^3+72866985333193/288*n^4-\
14311219718945/2304*n^5+217857102773/2304*n^6-1111966441/1152*n^7+7705075/1152*
n^8-7465/256*n^9+47/768*n^10)*p4+245248819200*(-30315678759016+255838375952011/
30*n-692312471513477/720*n^2+168910907231861/2880*n^3-317595573899/144*n^4+
636170982251/11520*n^5-11104306903/11520*n^6+68459203/5760*n^7-115721/1152*n^8+
135/256*n^9-1/768*n^10)*p1^4+485065104556032000*p9*p3*p2+2942985830400*(
530572139165250-92853972343214797/180*n+61836545598945361/360*n^2-\
684890221420103099/25920*n^3+153927452433329/72*n^4-680395255688483/6912*n^5+
442092834019/160*n^6-885482582599/17280*n^7+173535649/256*n^8-681162253/103680*
n^9+17413/384*n^10-29/144*n^11+1/2304*n^12)*p2+1671645916613836800*p11*p2*p1-\
4050296199394099200*p11*p3-14692232845275955200*p13*p1-2355270088576204800*p8*
p6-561129298329600*p9*p1^5+1903070015284838400*p12*p1^2-6372401111787110400*p12
*p2+371313284937154560*p10*p2^2-2587180151498342400*p9*p5+10731597830553600*p10
*p1^4-47588080877568000*p6^2*p1^2+688037898240000*p4^2*p2^3-34947956736000*p3^2
*p2^4-1089994752000*p3^3*p1^5+106802795151360000*p6*p4^2-72666316800000*p3^4*p1
^2+12288*p2*p1^12-2433024*p2^2*p1^10+164229120*p2^3*p1^8-4598415360*p2^4*p1^6-\
164767966691328000*p11*p1^3+51732172800*p2^5*p1^4-186235822080*p2^6*p1^2-\
3069236979538329600*p10*p4-589824*p3*p1^11+515666298470400*p6*p2^4-\
1072963584000*p4^2*p1^6+100713683893616640*p5^2*p4+30656102400*p6*p1^8+
160213205621145600*p6^2*p2-924938403840*p7*p1^7-12147939191291904*p5^2*p2^2+
24549406801920*p8*p1^6-5330801000448000*p5*p3^3+248276582400000*p3^4*p2+
24330240*p4*p1^10-7296152371200000*p4^2*p3^2-1946419200*p3^2*p1^8-\
1142779896712396800*p7^2+93117911040*p2^7-329140185391419073843691520*n^2+
8451764083169003520*n^9-108173214676961280*n^10-6896792770560*n^12+
1021139095173120*n^11+12288*(-2472+145/2*n-1/2*n^2)*p1^12+827665715036160000*p9
*p4*p1-220355475454033920*p10*p2*p1^2+245248819200*(-19949223500+3080321830/3*n
-39554905/2*n^2+562205/3*n^3-1465/2*n^4)*p4*p3*p2*p1+1076021542476840960*p10*p3
*p1+15328051200*(1007640900-39953375/2*n+263375/2*n^2)*p4^3+588597166080*(
1614448735900-121774889379*n+2816456929*n^2-24509342*n^3+77792*n^4)*p10+
81749606400*(-6347669328+112688730*n-688842*n^2)*p6^2+61312204800*(47258300-\
1144185*n+8265*n^2)*p4*p3*p2^2*p1+147149291520*(-247799720+5460585*n-37065*n^2)
*p5*p4*p2*p1+40874803200*(-12809760+326765*n-2405*n^2)*p4*p3*p2*p1^3+
98099527680*(56174944-1363362*n+9618*n^2)*p5*p3*p2*p1^2+490497638400*(
26365521000-815802715*n+4555915*n^2)*p12+163499212800*(-246705480+5741694*n-\
38766*n^2)*p6*p3*p2*p1+163499212800*(-672884740608+200303313124/3*n-15070723261
/6*n^2+587168299/12*n^3-6797695/12*n^4+45253/12*n^5-45/4*n^6)*p3^2*p1^2+
72990720*(11683546-4579987/6*n+38337/2*n^2-667/3*n^3+n^4)*p2*p1^8+122624409600*
(38548030381452-126573882585881/20*n+6273450514955/16*n^2-50761152073/4*n^3+
16214423223/64*n^4-270359271/80*n^5+963969/32*n^6-2637/16*n^7+27/64*n^8)*p2^3+
326998425600*(-154227773205792+30618213844978*n-6499517936699/3*n^2+
437040464099/6*n^3-8231034329/6*n^4+100888325/6*n^5-826259/6*n^6+2092/3*n^7-5/3
*n^8)*p3^2+980995276800*(335205960889800-853312409222273/10*n+62793602473259/8*
n^2-1361608523443/4*n^3+247987032251/32*n^4-2014035569/20*n^5+12778843/16*n^6-\
7469/2*n^7+259/32*n^8)*p6+145981440*(-1414299264+455734624/3*n-163302595/24*n^2
+7968799/48*n^3-113167/48*n^4+889/48*n^5-1/16*n^6)*p1^8+15328051200*(-\
596140792928+53131098798*n-15235132113/8*n^2+602362701/16*n^3-7193997/16*n^4+
49563/16*n^5-153/16*n^6)*p2^4-346095133655040*p5^2*p1^4-908328960*p5*p1^9+
1689917644800000*p4^3*p1^2-5726943129600000*p4^3*p2+161324673269760000*p8*p3^2-\
15268854266265600*p8*p2^3-16450830950400*p4*p2^5
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]
-4888403391460190818664448000*n+1653158707200*(-618700+18030*n-150*n^2)*p3^2*p2
*p1^4+3719607091200*(2121390-118125/2*n+945/2*n^2)*p4*p2^3*p1^2+1312030720*(
15120-533*n+5*n^2)*p3*p1^9+1469474406400*(2337000-62900*n+500*n^2)*p3^3*p1^3+
1653158707200*(-6687900+173070*n-1350*n^2)*p3^2*p2^3+1859803545600*(-641880+
38115/2*n-315/2*n^2)*p4*p2^2*p1^4+9918952243200*(30516500-715050*n+5250*n^2)*p4
*p3^2*p2+110210580480*(187500-5810*n+50*n^2)*p3^2*p1^6+9918952243200*(-9288500+
231350*n-1750*n^2)*p4*p3^2*p1^2+991895224320*(-738200+21455*n-175*n^2)*p4*p3*p1
^5+1859803545600*(2959880-158025/2*n+1225/2*n^2)*p4^2*p1^4+11158821273600*(-\
9782290+488775/2*n-3675/2*n^2)*p4^2*p2*p1^2+929901772800*(-6989220+365715/2*n-\
2835/2*n^2)*p4*p2^4+8856207360*(-58220+3955/2*n-35/2*n^2)*p4*p1^8+
14878428364800*(37284800-848925*n+6125*n^2)*p4^2*p3*p1+3967580897280*(2960160-\
81558*n+630*n^2)*p5*p3*p1^4+1700391813120*(3534960-115258*n+858*n^2)*p7*p1^5+
5951371345920*(-8467578+224289*n-1701*n^2)*p5*p2^3*p1+5951371345920*(2549358-\
72495*n+567*n^2)*p5*p2^2*p1^3+13225269657600*(-154287000+3377220*n-23100*n^2)*
p6*p3^2+1190274269184*(-763770+23409*n-189*n^2)*p5*p2*p1^5+15870323589120*(
37690800-876060*n+6300*n^2)*p5*p3^2*p1+4959476121600*(34078968-866943*n+6237*n^
2)*p6*p2^3+11902742691840*(32467680-779382*n+5670*n^2)*p5*p3*p2^2+330631741440*
(-895356+29337*n-231*n^2)*p6*p1^6+14283291230208*(-166433400+3493854*n-23814*n^
2)*p5^2*p2+14283291230208*(50506848-1132866*n+7938*n^2)*p5^2*p1^2+
29756856729600*(49882140-1156155*n+8085*n^2)*p6*p4*p1^2+13225269657600*(-\
11962440+315546*n-2310*n^2)*p6*p3*p1^3+14878428364800*(-10203732+280665*n-2079*
n^2)*p6*p2^2*p1^2+4959476121600*(3034416-90783*n+693*n^2)*p6*p2*p1^4+
56679727104*(227598-7551*n+63*n^2)*p5*p1^7+23805485383680*(-152997600+3207330*n
-22050*n^2)*p5*p4*p3+11902742691840*(-12103770+299565*n-2205*n^2)*p5*p4*p1^3+
79351617945600*(-194551060+5592405*n-36465*n^2)*p9*p2*p1+59513713459200*(-\
197400000+4871295*n-32175*n^2)*p8*p3*p1+5579410636800*(32201820-1510425/2*n+
11025/2*n^2)*p4^2*p2^2+44635285094400*(48432150-2814669/2*n+19305/2*n^2)*p8*p2*
p1^2+51011754393600*(-206220960+4514510*n-30030*n^2)*p7*p4*p1+34007836262400*(-\
162417840+3807804*n-25740*n^2)*p7*p3*p2+34007836262400*(48528480-1234948*n+8580
*n^2)*p7*p3*p1^2+25505877196800*(41008032-1099098*n+7722*n^2)*p7*p2^2*p1+
129848102092800*(898384448-29044806*n+176358*n^2)*p11*p1+17003918131200*(-\
12102792+356070*n-2574*n^2)*p7*p2*p1^3+47610970767360*(-212260356+4361742*n-\
29106*n^2)*p6*p5*p1+71416456151040*(785213000-22309287*n+138567*n^2)*p10*p2+
29756856729600*(-164998680+3565485*n-24255*n^2)*p6*p4*p2+71416456151040*(-\
222943644+7251673*n-46189*n^2)*p10*p1^2+52901078630400*(805147200-19322030*n+
121550*n^2)*p9*p3+26450539315200*(55718520-1815515*n+12155*n^2)*p9*p1^3+
44635285094400*(853838700-35540505/2*n+225225/2*n^2)*p8*p4+22317642547200*(-\
165328020+8675667/2*n-57915/2*n^2)*p8*p2^2+7439214182400*(-14004120+912483/2*n-\
6435/2*n^2)*p8*p1^4+40809403514880*(893692800-16993548*n+108108*n^2)*p7*p5+
357082280755200*(-14979166052346+57165936934171/12*n-210094047378239/360*n^2+
7141379706557/192*n^3-812603920853/576*n^4+26663388415/768*n^5-6788911273/11520
*n^6+908005/128*n^7-7577/128*n^8+239/768*n^9-1/1280*n^10)*p2*p1^2+
59513713459200*(87918714656-8535472464*n+1297802633/4*n^2-53258619/8*n^3+656607
/8*n^4-4677/8*n^5+15/8*n^6)*p3*p2^2*p1+39675808972800*(-20287568316+6329228437/
3*n-348393965/4*n^2+46111063/24*n^3-200817/8*n^4+1499/8*n^5-5/8*n^6)*p3*p2*p1^3
+47610970767360*(83051764446-19521884461/2*n+439094273*n^2-79447773/8*n^3+
995283/8*n^4-6879/8*n^5+21/8*n^6)*p5*p1^3+44635285094400*(-397267050840+
78255402533/2*n-11572632575/8*n^2+449163645/16*n^3-5197185/16*n^4+34755/16*n^5-\
105/16*n^6)*p4*p2^2+14878428364800*(-20264971880+13694268781/6*n-2425166785/24*
n^2+111494135/48*n^3-1462835/48*n^4+10745/48*n^5-35/48*n^6)*p4*p1^4+
39675808972800*(-419828704260+119613793771/3*n-1414789190*n^2+320989007/12*n^3-\
1226319/4*n^4+8215/4*n^5-25/4*n^6)*p3^2*p2+39675808972800*(94136114620-\
9715649609*n+1143350381/3*n^2-93068873/12*n^3+376433/4*n^4-7915/12*n^5+25/12*n^
6)*p3^2*p1^2+3967580897280*(4749713800-522183222*n+278418767/12*n^2-13234897/24
*n^3+61215/8*n^4-1439/24*n^5+5/24*n^6)*p3*p1^5+14878428364800*(-18950574592+
1876921434*n-602908029/8*n^2+26538489/16*n^3-350325/16*n^4+2655/16*n^5-9/16*n^6
)*p2^3*p1^2+7439214182400*(4485749768-943113033/2*n+162487441/8*n^2-7641231/16*
n^3+106755/16*n^4-849/16*n^5+3/16*n^6)*p2^2*p1^4+59513713459200*(3117665502-\
392373597/2*n+17350179/4*n^2-87087/2*n^3+693/4*n^4)*p6*p2*p1^2+71416456151040*(
-15400379190+1726608355/2*n-63009555/4*n^2+287805/2*n^3-2205/4*n^4)*p5*p4*p1+
991895224320*(-1076916384+357210001/3*n-43691833/8*n^2+6573707/48*n^3-32421/16*
n^4+271/16*n^5-1/16*n^6)*p2*p1^6+285665824604160*(12808314933700-11419293682329
/4*n+11414761507297/48*n^2-156684933827/16*n^3+43011226823/192*n^4-12285313/4*n
^5+846153/32*n^6-2181/16*n^7+21/64*n^8)*p5*p1+94466211840*(11133024-4625399/6*n
+81727/4*n^2-1519/6*n^3+5/4*n^4)*p3*p1^7+1859803545600*(136026675-32448897/4*n+
1528659/8*n^2-8721/4*n^3+81/8*n^4)*p2^4*p1^2+1239869030400*(-36791541+9382023/4
*n-468369/8*n^2+2799/4*n^3-27/8*n^4)*p2^3*p1^4+247973806080*(9963859-2706417/4*
n+143163/8*n^2-897/4*n^3+9/8*n^4)*p2^2*p1^6+17712414720*(-2709253+779927/4*n-\
43657/8*n^2+287/4*n^3-3/8*n^4)*p2*p1^8+204047017574400*(1264225140464-\
168793247998*n+48830768207/6*n^2-734729827/4*n^3+25687805/12*n^4-53053/4*n^5+
143/4*n^6)*p7*p1+119027426918400*(1529500020048-179991572761*n+29992083891/4*n^
2-1198068025/8*n^3+13388067/8*n^4-83391/8*n^5+231/8*n^6)*p6*p2+47610970767360*(
-13036377732+680733045*n-25814019/2*n^2+121077*n^3-945/2*n^4)*p5*p3*p2+
119027426918400*(-328937618800+40909041446*n-7579925423/4*n^2+341351703/8*n^3-\
4114341/8*n^4+26873/8*n^5-77/8*n^6)*p6*p1^2+47610970767360*(3354585444-\
195629119*n+7953081/2*n^2-39099*n^3+315/2*n^4)*p5*p3*p1^2+95221941534720*(
1804061859600-203421586802*n+15709267267/2*n^2-569094837/4*n^3+6056505/4*n^4-\
37419/4*n^5+105/4*n^6)*p5*p3+3306317414400*(177445020-32533885/3*n+499703/2*n^2
-8315/3*n^3+25/2*n^4)*p3^2*p1^4+35708228075520*(2880570714-329065281/2*n+
13841289/4*n^2-69471/2*n^3+567/4*n^4)*p5*p2^2*p1+23805485383680*(-745080378+
93416931/2*n-4248411/4*n^2+22401/2*n^3-189/4*n^4)*p5*p2*p1^3+158703235891200*(
52103015250-23375169065/6*n+374198305/4*n^2-5252065/6*n^3+12155/4*n^4)*p9*p1+
89270570188800*(53783044887-13862785365/4*n+589689243/8*n^2-2711709/4*n^3+19305
/8*n^4)*p8*p2+89270570188800*(-12896086209+3741720723/4*n-180497577/8*n^2+
878163/4*n^3-6435/8*n^4)*p8*p1^2+68015672524800*(61597560024-3597465170*n+
67028819*n^2-594594*n^3+2145*n^4)*p7*p3+34007836262400*(3188686644-225359693*n+
10919623/2*n^2-55341*n^3+429/2*n^4)*p7*p1^3+59513713459200*(67803325590-\
7572171145/2*n+258647235/4*n^2-1113035/2*n^3+8085/4*n^4)*p6*p4+29756856729600*(
-12288650682+1393954947/2*n-56496825/4*n^2+269577/2*n^3-2079/4*n^4)*p6*p2^2+
19837904486400*(-773745840+274496485/6*n-3937805/4*n^2+61565/6*n^3-175/4*n^4)*
p4*p3*p1^3+9918952243200*(-785189706+108705443/2*n-5309073/4*n^2+28105/2*n^3-\
231/4*n^4)*p6*p1^4+2380548538368*(191879730-26213081/2*n+1299729/4*n^2-7215/2*n
^3+63/4*n^4)*p5*p1^5+22317642547200*(-13413099525+2727344655/4*n-100825585/8*n^
2+469175/4*n^3-3675/8*n^4)*p4^2*p2+22317642547200*(-670023365+155864835/4*n-\
6869025/8*n^2+36435/4*n^3-315/8*n^4)*p4*p2^2*p1^2+22317642547200*(3464120515-\
2367659035/12*n+31101595/8*n^2-454475/12*n^3+1225/8*n^4)*p4^2*p1^2+
7439214182400*(176484715-44584325/4*n+2106635/8*n^2-11725/4*n^3+105/8*n^4)*p4*
p2*p1^4+19837904486400*(-13286483700+1932695975/3*n-23781205/2*n^2+333025/3*n^3
-875/2*n^4)*p4*p3^2+102023508787200*(-12964622364+824236387*n-35681061/2*n^2+
171171*n^3-1287/2*n^4)*p7*p2*p1+7439214182400*(2529157995-541018485/4*n+
22335075/8*n^2-113085/4*n^3+945/8*n^4)*p4*p2^3+79351617945600*(-14416073448+
838962943*n-32536917/2*n^2+151613*n^3-1155/2*n^4)*p6*p3*p1+495947612160*(-\
46407765+37967705/12*n-644185/8*n^2+11305/12*n^3-35/8*n^4)*p4*p1^6+
8816846438400*(2937110400-455196250/3*n+3026395*n^2-90350/3*n^3+125*n^4)*p3^3*
p1+9918952243200*(2504486380-129809295*n+5286447/2*n^2-26745*n^3+225/2*n^4)*p3^
2*p2^2+1239869030400*(1779840-49653*n+405*n^2)*p3*p2^4*p1+185980354560*(-475794
+28431/2*n-243/2*n^2)*p2^5*p1^2+1653158707200*(-541620+16011*n-135*n^2)*p3*p2^3
*p1^3+154983628800*(144936-9153/2*n+81/2*n^2)*p2^4*p1^4+495947612160*(164520-\
5157*n+45*n^2)*p3*p2^2*p1^5+41328967680*(-44118+2943/2*n-27/2*n^2)*p2^3*p1^6+
47233105920*(-49900+1659*n-15*n^2)*p3*p2*p1^7+4428103680*(13428-945/2*n+9/2*n^2
)*p2^2*p1^8+247973806080*(193610-12285/2*n+105/2*n^2)*p4*p2*p1^6+4408423219200*
(-7681000+194700*n-1500*n^2)*p3^3*p2*p1+4959476121600*(2036700-55890*n+450*n^2)
*p3^2*p2^2*p1^2+196804608*(-4090+303/2*n-3/2*n^2)*p2*p1^10-461921638384926720*
p6*p5*p1^3+4411822995186647040*p7*p5*p1^2-10212553229598720000*p7*p4*p3-\
510627661479936000*p7*p4*p1^3-875361705394176000*p7*p3*p2*p1^2+
4595648953319424000*p7*p4*p2*p1+1945248234209280000*p7*p3^2*p1-\
646263134060544000*p8*p2^2*p1^2+71807014895616000*p8*p2*p1^4-\
26961140526140620800*p7*p6*p1-13235468985559941120*p7*p5*p2+5744561191649280000
*p8*p3*p2*p1-638284576849920000*p8*p3*p1^3+5026491042693120000*p8*p4*p1^2+
7592461994557440*p5*p2^4*p1-7498727895859200*p5*p3*p2*p1^4-28952588405912371200
*p8*p5*p1-15079473128079360000*p8*p4*p2+67488551062732800*p5*p3*p2^2*p1^2-\
354314893079347200*p5*p4*p2^2*p1+9895964079481159680*p10*p2*p1^2-\
33758162064506880000*p9*p4*p1-524910952710144000*p5*p4*p3*p1^2-\
19290378322575360000*p9*p3*p2+6430126107525120000*p9*p3*p1^2+
1574732858130432000*p5*p4*p3*p2+4340335122579456000*p9*p2^2*p1-\
964518916128768000*p9*p2*p1^3-721752559976448000*p6*p4*p2*p1^2+
4157294745464340480*p6*p5*p2*p1+520744992768000*p4*p3*p2*p1^5-\
68699254766646067200*p11*p2*p1+23433524674560000*p4*p3*p2^3*p1-7811174891520000
*p4*p3*p2^2*p1^3+52074499276800000*p4*p3^2*p2*p1^2-43982062575471820800*p10*p3*
p1-273391121203200000*p4^2*p3*p2*p1+238054853836800*(-4447756753838+
9715854964741/12*n-894225972651/16*n^2+94868836051/48*n^3-2662564949/64*n^4+
13776767/24*n^5-168221/32*n^6+473/16*n^7-5/64*n^8)*p3*p2*p1+19837904486400*(-\
668928460+37625225*n-1627429/2*n^2+8615*n^3-75/2*n^4)*p3^2*p2*p1^2+
9918952243200*(-578701548+64721043/2*n-2844693/4*n^2+15291/2*n^3-135/4*n^4)*p3*
p2^3*p1+9918952243200*(155237656-18703773/2*n+873495/4*n^2-4917/2*n^3+45/4*n^4)
*p3*p2^2*p1^3+1983790448640*(-41550532+5380915/2*n-267533/4*n^2+1579/2*n^3-15/4
*n^4)*p3*p2*p1^5+142832912302080*(-375068600214+83220393259/2*n-1703408346*n^2+
277942627/8*n^3-3246033/8*n^4+21393/8*n^5-63/8*n^6)*p5*p2*p1+119027426918400*(-\
421349646560+134621302460/3*n-20733702905/12*n^2+790237315/24*n^3-8943055/24*n^
4+58765/24*n^5-175/24*n^6)*p4*p3*p1+178541140377600*(16944689375614-\
83404549046945/24*n+24759662604779/96*n^2-296668043343/32*n^3+72462802825/384*n
^4-117964385/48*n^5+1346555/64*n^6-3535/32*n^7+35/128*n^8)*p4*p2+
178541140377600*(-3705683622618+17594282524627/24*n-16095064662323/288*n^2+
69974801041/32*n^3-57197912585/1152*n^4+11264645/16*n^5-3695905/576*n^6+3395/96
*n^7-35/384*n^8)*p4*p1^2+89270570188800*(88964202080-28371151814/3*n+3080058215
/8*n^2-388995985/48*n^3+1594535/16*n^4-11165/16*n^5+35/16*n^6)*p4*p2*p1^2+
79351617945600*(970307921838-700668948649/4*n+1808067047057/144*n^2-22981373029
/48*n^3+6348796991/576*n^4-3935917/24*n^5+459607/288*n^6-151/16*n^7+5/192*n^8)*
p3*p1^3+89270570188800*(1031833843234-4198552021601/24*n+376480005393/32*n^2-\
40829705857/96*n^3+1216257091/128*n^4-2254287/16*n^5+88763/64*n^6-267/32*n^7+3/
128*n^8)*p2^2*p1^2+29756856729600*(-228174234014+934502713763/24*n-87152146243/
32*n^2+10074685103/96*n^3-322950273/128*n^4+1922947/48*n^5-26809/64*n^6+85/32*n
^7-1/128*n^8)*p2*p1^4+476109707673600*(45649905264288-17341851226687*n+
19553023070289/8*n^2-49319010194717/288*n^3+975832493455/144*n^4-63293191285/
384*n^5+3049799339/1152*n^6-5673949/192*n^7+131173/576*n^8-1279/1152*n^9+1/384*
n^10)*p3*p1-301288174387200*p3*p2^5*p1+167382319104000*p3*p2^4*p1^3-\
22317642547200*p3*p2^3*p1^5+1062744883200*p3*p2^2*p1^7-19680460800*p3*p2*p1^9-\
3417389015040000*p4^2*p2*p1^4-77147406336000000*p4*p3^3*p1-78111748915200000*p4
*p3^2*p2^2+1082628839964672000*p6*p4*p2^2+40097364443136000*p6*p4*p1^4+
916511187271680000*p6*p3^2*p2-305503729090560000*p6*p3^2*p1^2-3055037290905600*
p6*p3*p1^5+30932252570419200*p6*p2^3*p1^2-5155375428403200*p6*p2^2*p1^4+
229127796817920*p6*p2*p1^6+1511743543805214720*p5^2*p3*p1-340142297356173312*p5
^2*p2*p1^2+1377891250864128000*p5*p4^2*p1-2624554763550720*p5*p4*p1^5+
33327679537152000*p5*p3^2*p1^3-67488551062732800*p5*p3*p2^3+166638397685760*p5*
p3*p1^6-3374427553136640*p5*p2^3*p1^3+337442755313664*p5*p2^2*p1^5-\
299949115834368000*p5*p3^2*p2*p1-10712468422656*p5*p2*p1^7+1313042558091264000*
p7*p3*p2^2+78736642906521600*p5*p4*p2*p1^3+48631205855232000*p7*p3*p1^4-\
196956383713689600*p7*p2^3*p1-412430034272256000*p6*p3*p2^2*p1+
65652127904563200*p7*p2^2*p1^3-4376808526970880*p7*p2*p1^5+91651118727168000*p6
*p3*p2*p1^3+3207789155450880000*p6*p4*p3*p1-9238432767698534400*p6*p5*p3+
30756501135360000*p4^2*p2^2*p1^2+30376791244800000*p4^2*p3*p1^3+464950886400*p4
*p2*p1^8-2204211609600000*p3^3*p2*p1^3+371960709120000*p3^2*p2^2*p1^4-\
16531587072000*p3^2*p2*p1^6-2231764254720000*p3^2*p2^3*p1^2+9918952243200000*p3
^3*p2^2*p1+292919058432000*p4*p2^3*p1^4-1318135762944000*p4*p2^4*p1^2-\
19527937228800*p4*p2^2*p1^6-8265793536000*p4*p3*p1^7-2893027737600000*p4*p3^2*
p1^4-5106093754297440034137047040*n^3+1296008304249816189336944640*n^4+
357082280755200*(-108937870914600+102475418389643/2*n-1258850253749455/144*n^2+
411295692472231/576*n^3-1498328838355/48*n^4+1808768446793/2304*n^5-9431736559/
768*n^6+148808065/1152*n^7-1065295/1152*n^8+9625/2304*n^9-7/768*n^10)*p4+
119027426918400*(-3650610600+116568439*n-676039*n^2)*p12+19837904486400*(
908539632-16755354*n+106722*n^2)*p6^2+30996725760*(1560060-88209/2*n+729/2*n^2)
*p2^6+734737203200*(28980000-677000*n+5000*n^2)*p3^4+3719607091200*(-150336900+
6216875/2*n-42875/2*n^2)*p4^3+2981888*(1248-97/2*n+1/2*n^2)*p1^12+371960709120*
(-502353765+111876471/4*n-4977369/8*n^2+27135/4*n^3-243/8*n^4)*p2^5+
28566582460416*(70059569580-3863789433*n+128158227/2*n^2-545265*n^3+3969/2*n^4)
*p5^2+393609216*(741555-674851/12*n+13283/8*n^2-275/12*n^3+1/8*n^4)*p1^10+
79351617945600*(18702767201976-7579085554015/2*n+19763314943269/72*n^2-\
227541898151/24*n^3+53032968787/288*n^4-14003155/6*n^5+2853767/144*n^6-835/8*n^
7+25/96*n^8)*p3^2+3719607091200*(80907570552-14942608803/2*n+2226765789/8*n^2-\
91758735/16*n^3+1145907/16*n^4-8289/16*n^5+27/16*n^6)*p2^4+1983790448640*(
51600357330-70964937123/8*n+184530150817/288*n^2-2497993217/96*n^3+768671683/
1152*n^4-543461/48*n^5+72539/576*n^6-27/32*n^7+1/384*n^8)*p1^6+142832912302080*
(-210822762150+97923959419/6*n-1555784087/4*n^2+21015995/6*n^3-46189/4*n^4)*p10
+29756856729600*(-4788203032062+6449462421433/8*n-1645322541355/32*n^2+
55013470629/32*n^3-4550414601/128*n^4+7879257/16*n^5-292641/64*n^6+837/32*n^7-9
/128*n^8)*p2^3+59513713459200*(3774641979564-1095859428080*n+10241852474839/80*
n^2-4676953256773/576*n^3+91716607991/288*n^4-2134329787/256*n^5+1757231291/
11520*n^6-759529/384*n^7+20345/1152*n^8-227/2304*n^9+1/3840*n^10)*p1^4+
714164561510400*(-59619861766125+7015392443767823/120*n-1417911026065939/72*n^2
+53100379557869681/17280*n^3-970991760115013/3840*n^4+273601012551509/23040*n^5
-1047765840475/3072*n^6+16621227847/2560*n^7-4072478981/46080*n^8+12212693/
13824*n^9-19369/3072*n^10+223/7680*n^11-1/15360*n^12)*p2+714164561510400*(
31158788875875-8213241645597283/360*n+2149892776215829/360*n^2-\
39688861817349797/51840*n^3+212805119106631/3840*n^4-171101483121769/69120*n^5+
3361641951367/46080*n^6-103538861411/69120*n^7+342216029/15360*n^8-10050809/
41472*n^9+85901/46080*n^10-211/23040*n^11+1/46080*n^12)*p1^2+16384*p1^14+
44635285094400*(1906055951800-1277924814985/6*n+64450782165/8*n^2-2258055975/16
*n^3+70704305/48*n^4-434875/48*n^5+1225/48*n^6)*p4^2+178541140377600*(-\
4709809189800+1376240783489/2*n-279380622807/8*n^2+12670280909/16*n^3-143133705
/16*n^4+843843/16*n^5-2145/16*n^6)*p8+35424829440*(262716376-60674111/2*n+
35292847/24*n^2-1878893/48*n^3+9811/16*n^4-259/48*n^5+1/48*n^6)*p1^8+
238054853836800*(-39976011375300+41399211956245/4*n-46607745508709/48*n^2+
689249567237/16*n^3-193257778175/192*n^4+53871125/4*n^5-10588963/96*n^6+8547/16
*n^7-77/64*n^8)*p6+178541140377600*(56266032258072-123337303681603/6*n+
218048620620001/80*n^2-11262186705733/64*n^3+305446643495/48*n^4-110837454721/
768*n^5+8663463233/3840*n^6-3228323/128*n^7+25253/128*n^8-251/256*n^9+3/1280*n^
10)*p2^2+8854806897409524759181393920*n^2-167929728788545315066675200*n^5+
12115705039201608186101760*n^6-2046418146306293760000*p14-32164876977192960*n^
11+223729200414720*n^12+2214051840*n^14-1007393587200*n^13+7633250529627340800*
p11*p1^3+241401547999464652800*p12*p2+571364610649620480000*p13*p1-\
80467182666488217600*p12*p1^2+152665010592546816000*p11*p3-1595711442124800*p8*
p1^6+88466242351398912000*p8*p6+32150630537625600*p9*p1^5+115452914260613529600
*p10*p4-14843946119221739520*p10*p2^2+97223506745779814400*p9*p5-\
549775782193397760*p10*p1^4+510213446034259968*p5^2*p2^2-2727711866880*p6*p1^8-\
23199189427814400*p6*p2^4-3968326802488688640*p5^2*p4-6351422527792742400*p6^2*
p2-4210223266529280000*p6*p4^2+75941978112000*p4^2*p1^6+2117140842597580800*p6^
2*p1^2+222184530247680000*p5*p3^3-11021058048000000*p3^4*p2+790881457766400*p4*
p2^5+11298306539520*p2^6*p1^2+119275520*p3*p1^11+73473720320000*p3^3*p1^5+
3673686016000000*p3^4*p1^2+1673823191040000*p3^2*p2^4+18896794297565184*p5^2*p1
^4+442810368*p2^2*p1^10+418455797760*p2^4*p1^6-30756501135360000*p4^2*p2^3+
99189522432*p5*p1^9-4472832*p2*p1^12+13910375981245216112640*n^8-\
517693203239343254323200*n^7+3315714483381780480*n^10-252608880621223526400*n^9
+9918952243200*(2441900-66465*n+525*n^2)*p4*p3*p2*p1^3+14878428364800*(-8049600
+205695*n-1575*n^2)*p4*p3*p2^2*p1+35708228075520*(40007310-925155*n+6615*n^2)*
p5*p4*p2*p1+23805485383680*(-9826320+252234*n-1890*n^2)*p5*p3*p2*p1^2+
39675808972800*(39869760-974358*n+6930*n^2)*p6*p3*p2*p1+59513713459200*(
2957847820-317658985/2*n+12799735/4*n^2-63665/2*n^3+525/4*n^4)*p4*p3*p2*p1-\
6382845768499200000*p8*p3^2+646263134060544000*p8*p2^3+239217231052800000*p4^3*
p2-79739077017600000*p4^3*p1^2+303767912448000000*p4^2*p3^2+69473151221760*p7*
p1^7-3766102179840*p2^5*p1^4+196804608000*p3^2*p1^8-3444080640*p4*p1^10+
42917733898754457600*p7^2-19926466560*p2^3*p1^8-4842131374080*p2^7