[9]
a^5*b*(1/3*(-86640+21636*W-993*W^2)*p3+1/2*(17820-1854*W)*p2*p1-198*p1^3)+a^4*b
^2*(1/2*(147988-56308*W+3681*W^2)*p2+1/2*(-31820+4497*W)*p1^2)+a^2*b^4*(12582*W
-14400*W^2+1818*W^3)+a^3*b^2*(15176*W-119315/6*W^2+4984*W^3-1645/6*W^4)+a^3*b^3
*(-67200+46932*W-4766*W^2)*p1+a^6*(1/4*(14952-2680*W+90*W^2)*p4+1/3*(-2724+216*
W)*p3*p1+1/8*(-3840+324*W)*p2^2+54*p2*p1^2)+a^4*(25713/10*W-7713/2*W^2+11637/8*
W^3-351/2*W^4+243/40*W^5)+a^5*(1/2*(24352-14549*W+2142*W^2-81*W^3)*p2+1/2*(-
8224+2610*W-162*W^2)*p1^2)+a^4*b*(-32256+66085/2*W-7226*W^2+743/2*W^3)*p1-1960*
a^5*b^3*p5+a*b^6*(2520*W-2520*W^2)+6769*a^4*b^4*p4-13132*a^3*b^5*p3-5040*a*b^7*
p1+13068*a^2*b^6*p2+a^4*b^3*(1/3*(-136620+15435*W)*p3+6381*p2*p1)+322*a^6*b^2*
p6+a^3*b^4*(1/2*(126480-22736*W)*p2-6410*p1^2)-28*a^7*b*p7+a^5*b^2*(1/4*(62784-
4900*W)*p4-1682*p3*p1-897*p2^2)+a^8*p8+a^6*b*(1/5*(-13020+735*W)*p5+225*p4*p1+
258*p3*p2)+a^7*(1/6*(1008-42*W)*p6-12*p5*p1-15*p4*p2-8*p3^2)+a^2*b^5*(-34560+
12348*W)*p1
[8, 2]
a^2*b^6*(-68220*p2+720*p1^2)+a^8*(-9*p8+p7*p1)+a^6*b*(1/5*(85190-5250*W)*p5+1/4
*(-10640+360*W)*p4*p1-1848*p3*p2+132*p3*p1^2+72*p2^2*p1)+a^7*(1/6*(-7308+336*W)
*p6+1/5*(970-30*W)*p5*p1+120*p4*p2-10*p4*p1^2+64*p3^2-12*p3*p2*p1)+a^3*b^3*(
337680-245658*W+27718*W^2-234*W^3)*p1+a^4*b^2*(1/2*(-776346+310420*W-21592*W^2)
*p2+1/2*(188324-35708*W+1060*W^2)*p1^2)+a^2*b^4*(-62610*W+72000*W^2-9390*W^3)+a
^6*(1/4*(-90468+17440*W-640*W^2)*p4+1/3*(21091-2454*W+48*W^2)*p3*p1+1/8*(25152-
2304*W)*p2^2+1/4*(-3112+192*W)*p2*p1^2+32/3*p1^4)+a^5*b*(1/3*(483914-128538*W+
6360*W^2)*p3+1/2*(-116338+16092*W-312*W^2)*p2*p1+1/6*(14912-1188*W)*p1^3)+a^4*b
*(162792-519820/3*W+40950*W^2-7676/3*W^3+26*W^4)*p1+a^5*(1/2*(-128952+80640*W-
12608*W^2+512*W^3)*p2+1/2*(48312-54736/3*W+1728*W^2-128/3*W^3)*p1^2)+a^3*b^2*(-
75128*W+297980/3*W^2-25672*W^3+4420/3*W^4)+a^4*(-63296/5*W+57664/3*W^2-22400/3*
W^3+2816/3*W^4-512/15*W^5)+25200*a*b^7*p1+a^3*b^5*(72716*p3-1764*p2*p1)+a^4*b^4
*(-40341*p4+1624*p3*p1)+a^5*b^3*(12740*p5-735*p4*p1)+a^6*b^2*(-2310*p6+175*p5*
p1)+a^7*b*(224*p7-21*p6*p1)+a*b^6*(-12600*W+12600*W^2)+a^4*b^3*(1/3*(757878-
91350*W)*p3+1/2*(-89468+2700*W)*p2*p1+780*p1^3)+a^3*b^4*(1/2*(-660864+125188*W)
*p2+1/2*(79280-3288*W)*p1^2)+a^2*b^5*(173160-64620*W+360*W^2)*p1+a^5*b^2*(1/4*(
-375576+31640*W)*p4+1/3*(44952-1530*W)*p3*p1+5820*p2^2-662*p2*p1^2)
[7, 3]
a^7*b*(204*p7-p6*p1-15*p5*p2)+a^8*(-9*p8+p6*p2)+a^5*b^2*(1/4*(-290956+27210*W-
170*W^2)*p4+1/3*(26985-150*W)*p3*p1+1/8*(43380-1400*W)*p2^2-347/2*p2*p1^2)+a^6*
b*(1/5*(67620-9675/2*W+75/2*W^2)*p5+1/4*(-5510+20*W)*p4*p1+1/6*(-11322+300*W)*
p3*p2+8*p3*p1^2+147/2*p2^2*p1)+a^7*(1/6*(-6048+339*W-3*W^2)*p6+84*p5*p1+1/8*(
1260-40*W)*p4*p2+56*p3^2-8*p3*p2*p1-9/2*p2^3)+a^3*b^3*(257520-566956/3*W+21656*
W^2-476/3*W^3)*p1+a^4*b^2*(1/2*(-590780+1469413/6*W-39425/2*W^2+727/3*W^3)*p2+1
/2*(134964-44387/2*W+451/2*W^2)*p1^2)+a^2*b^4*(-143140/3*W+55170*W^2-22460/3*W^
3+30*W^4)+a^5*b*(1/3*(367848-208329/2*W+12735/2*W^2-75*W^3)*p3+1/2*(-82732+
11111*W-211*W^2)*p2*p1+1/6*(6204-84*W)*p1^3)+a^6*(1/4*(-69048+14735*W-745*W^2+
10*W^3)*p4+1/3*(13692-1356*W+12*W^2)*p3*p1+1/8*(21504-2998*W+102*W^2)*p2^2+1/4*
(-1464+56*W)*p2*p1^2)+a^3*b^2*(-114663/2*W+919253/12*W^2-61955/3*W^3+16747/12*W
^4-101/6*W^5)+a^5*(1/2*(-97632+380137/6*W-133841/12*W^2+4055/6*W^3-175/12*W^4)*
p2+1/2*(34272-12154*W+968*W^2-14*W^3)*p1^2)+a^4*(-96957/10*W+359053/24*W^2-
292573/48*W^3+14055/16*W^4-11767/240*W^5+49/48*W^6)+a^4*b*(124128-1599101/12*W+
777593/24*W^2-26179/12*W^3+775/24*W^4)*p1+a^2*b^6*(-52120*p2+120*p1^2)+19200*a*
b^7*p1+a^3*b^5*(55986*p3-394*p2*p1)+a^4*b^4*(-31591*p4+225*p3*p1+274*p2^2)+a^6*
b^2*(-1960*p6+15*p5*p1+85*p4*p2)+a^5*b^3*(10290*p5-85*p4*p1-225*p3*p2)+a^3*b^4*
(1/2*(-504022+99082*W-394*W^2)*p2+1/2*(55482-500*W)*p1^2)+a^2*b^5*(132000-49720
*W+120*W^2)*p1+a*b^6*(-9600*W+9600*W^2)+a^4*b^3*(1/3*(580302-149475/2*W+675/2*W
^2)*p3+1/2*(-61583+850*W)*p2*p1+209/2*p1^3)
[7, 2, 2]
a^3*b^4*(1/2*(1940544-387850*W+454*W^2)*p2+1/2*(-257660+16076*W-60*W^2)*p1^2)+a
*b^6*(35640*W-35640*W^2)+a^5*b^2*(1/4*(1241160-114290*W+170*W^2)*p4+1/3*(-
180018+8610*W)*p3*p1+1/8*(-175422+2100*W)*p2^2+1/4*(17180-350*W)*p2*p1^2-209/4*
p1^4)+a^4*b^3*(1/3*(-2342766+606015/2*W-675/2*W^2)*p3+1/2*(317354-14750*W)*p2*
p1+1/6*(-26124+750*W)*p1^3)+a^7*(1/6*(28980-1515*W+3*W^2)*p6+1/5*(-5180+210*W)*
p5*p1+1/8*(-4830+60*W)*p4*p2+1/8*(770-20*W)*p4*p1^2-280*p3^2+96*p3*p2*p1-4*p3*
p1^3+27/4*p2^3-9/4*p2^2*p1^2)+a^6*b*(1/5*(-305830+42015/2*W-75/2*W^2)*p5+1/4*(
48980-2240*W)*p4*p1+1/6*(46665-450*W)*p3*p2+1/6*(-6015+150*W)*p3*p1^2-1107/2*p2
^2*p1+69/2*p2*p1^3)+a^5*b*(1/3*(-1502194+853245/2*W-47391/2*W^2+75*W^3)*p3+1/2*
(399364-130709/2*W+3957/2*W^2)*p2*p1+1/6*(-65848+15939/2*W-363/2*W^2)*p1^3)+a^4
*b^2*(1/2*(2285874-1923013/2*W+146605/2*W^2-276*W^3)*p2+1/2*(-598730+790241/6*W
-11489/2*W^2+101/3*W^3)*p1^2)+a^2*b^4*(176314*W-203910*W^2+27626*W^3-30*W^4)+a^
3*b^2*(210610*W-844244/3*W^2+452899/6*W^3-14086/3*W^4+101/6*W^5)+a^6*(1/4*(
301140-63175*W+2705*W^2-10*W^3)*p4+1/3*(-80444+11184*W-306*W^2)*p3*p1+1/8*(-
92904+10536*W-144*W^2)*p2^2+1/4*(15664-1501*W+21*W^2)*p2*p1^2+1/24*(-2432+168*W
)*p1^4)+a^5*(1/2*(382320-1002451/4*W+340027/8*W^2-8301/4*W^3+133/8*W^4)*p2+1/2*
(-152640+768143/12*W-175871/24*W^2+3241/12*W^3-49/24*W^4)*p1^2)+a^4*(35336*W-
1306895/24*W^2+351279/16*W^3-142321/48*W^4+2065/16*W^5-49/48*W^6)+a^2*b^5*(-
490680+190416*W-1740*W^2)*p1-71280*a*b^7*p1+a^2*b^6*(200316*p2-3360*p1^2)+a^3*b
^5*(-224812*p3+8812*p2*p1-60*p1^3)+a^5*b^3*(-45640*p5+4180*p4*p1+675/2*p3*p2-
225/2*p3*p1^2)+a^4*b^4*(133245*p4-8492*p3*p1-411*p2^2+137*p2*p1^2)+a^3*b^3*(-
959220+2170822/3*W-88703*W^2+3755/3*W^3)*p1+a^6*b^2*(9114*p6-1100*p5*p1-255/2*
p4*p2+85/2*p4*p1^2)+a^7*b*(-988*p7+148*p6*p1+45/2*p5*p2-15/2*p5*p1^2)+a^8*(45*
p8-8*p7*p1-3/2*p6*p2+1/2*p6*p1^2)+a^4*b*(-464040+3065017/6*W-1549171/12*W^2+
55853/6*W^3-1913/12*W^4)*p1
[6, 4]
a^4*b^3*(1/3*(507897-66411*W+141*W^2)*p3+1/2*(-53424+560*W)*p2*p1+30*p1^3)+a^5*
b^2*(1/4*(-254596+24640*W-40*W^2)*p4+1/3*(24255-366*W)*p3*p1+1/8*(34440-576*W)*
p2^2-57*p2*p1^2)+a^2*b^6*(-45632*p2+48*p1^2)+a^3*b^5*(49098*p3-172*p2*p1)+a^6*b
*(1/5*(59145-4535*W+5*W^2)*p5+1/4*(-5120+80*W)*p4*p1+1/6*(-8934+216*W)*p3*p2+15
*p3*p1^2+18*p2^2*p1)+a^7*(1/6*(-5292+336*W)*p6+1/5*(435-10*W)*p5*p1+90*p4*p2+1/
18*(1314-72*W)*p3^2-6*p3*p2*p1)+a^5*b*(1/3*(321855-91223*W+5445*W^2-28*W^3)*p3+
1/2*(-72688+9832*W-144*W^2)*p2*p1+1/6*(5886-180*W)*p1^3)+a^3*b^3*(225300-495859
/3*W+18905*W^2-236/3*W^3)*p1+a^4*b^2*(1/2*(-517046+213946*W-16778*W^2+80*W^3)*
p2+1/2*(118902-20098*W+230*W^2)*p1^2)+a^2*b^4*(-125234/3*W+48288*W^2-19666/3*W^
3+12*W^4)+a^6*(1/4*(-60228+12920*W-600*W^2)*p4+1/3*(12729-1596*W+42*W^2)*p3*p1+
1/8*(16560-1728*W)*p2^2+1/4*(-1224+48*W)*p2*p1^2)+a^4*(-42336/5*W+12984*W^2-
5184*W^3+696*W^4-144/5*W^5)+a^4*b*(108576-349246/3*W+84586/3*W^2-5510/3*W^3+50/
3*W^4)*p1+a^5*(1/2*(-85608+54916*W-9204*W^2+432*W^3)*p2+1/2*(30888-11476*W+1052
*W^2-24*W^3)*p1^2)+a^3*b^2*(-300917/6*W+267763/4*W^2-107651/6*W^3+4637/4*W^4-16
/3*W^5)+a^4*b^4*(-27821*p4+94*p3*p1+150*p2^2)+16800*a*b^7*p1+a^5*b^3*(9150*p5-
20*p4*p1-155*p3*p2)+a^6*b^2*(-1778*p6+2*p5*p1+30*p4*p2+35*p3^2)+a^7*b*(192*p7-3
*p5*p2-10*p4*p3)+a^8*(-9*p8+p5*p3)+a*b^6*(-8400*W+8400*W^2)+a^3*b^4*(1/2*(-
441094+87120*W-172*W^2)*p2+1/2*(48382-272*W)*p1^2)+a^2*b^5*(115500-43532*W+48*W
^2)*p1
[6, 3, 2]
a^6*b*(1/5*(-489780+77275/2*W-475/2*W^2)*p5+1/4*(62650-2400*W+20*W^2)*p4*p1+1/6
*(85200-2352*W)*p3*p2+1/6*(-4782+24*W)*p3*p1^2+1/8*(-7196+192*W)*p2^2*p1+21*p2*
p1^3)+a^5*b^2*(1/4*(1953880-197150*W+990*W^2)*p4+1/3*(-244971+18501/2*W-105/2*W
^2)*p3*p1+1/8*(-299632+8208*W)*p2^2+1/4*(16432-272*W)*p2*p1^2-15*p1^4)+a^4*b^3*
(1/3*(-3658320+1000443/2*W-3963/2*W^2)*p3+1/2*(460393-16556*W+74*W^2)*p2*p1+1/6
*(-22485+264*W)*p1^3)+a^3*b^4*(1/2*(3021412-622066*W+2114*W^2)*p2+1/2*(-378080+
15172*W-48*W^2)*p1^2)+a*b^6*(55440*W-55440*W^2)+a^7*(1/6*(47880-3045*W+21*W^2)*
p6+1/5*(-6340+485/2*W-5/2*W^2)*p5*p1+1/8*(-9440+240*W)*p4*p2+60*p4*p1^2+1/18*(-
10440+288*W)*p3^2+1/6*(1014-24*W)*p3*p2*p1+27*p2^3-6*p2^2*p1^2)+a^2*b^4*(274280
*W-318630*W^2+44500*W^3-150*W^4)+a^4*b^2*(1/2*(3553244-4604912/3*W+128902*W^2-
3922/3*W^3)*p2+1/2*(-894684+551380/3*W-6352*W^2+164/3*W^3)*p1^2)+a^5*b*(1/3*(-
2332380+695906*W-45054*W^2+484*W^3)*p3+1/2*(592226-289783/3*W+3157*W^2-104/3*W^
3)*p2*p1+1/6*(-74418+6597*W-81*W^2)*p1^3)+a^3*b^3*(-1493040+3401600/3*W-140727*
W^2+5359/3*W^3-6*W^4)*p1+a^6*(1/4*(467880-106400*W+5660*W^2-60*W^3)*p4+1/3*(-
114444+32379/2*W-1095/2*W^2+6*W^3)*p3*p1+1/8*(-148472+20172*W-540*W^2)*p2^2+1/4
*(17980-1604*W+36*W^2)*p2*p1^2-48*p1^4)+a^3*b^2*(983867/3*W-2650147/6*W^2+
366242/3*W^3-50573/6*W^4+251/3*W^5)+a^4*(55152*W-85875*W^2+71301/2*W^3-10401/2*
W^4+555/2*W^5-9/2*W^6)+a^5*(1/2*(592320-397807*W+72421*W^2-4302*W^3+72*W^4)*p2+
1/2*(-228000+93835*W-10473*W^2+404*W^3-6*W^4)*p1^2)+a^4*b*(-722160+9602551/12*W
-1653349/8*W^2+62843/4*W^3-2635/8*W^4+8/3*W^5)*p1+a^2*b^6*(312360*p2-3120*p1^2)
+a^4*b^4*(212010*p4-7838*p3*p1-1618*p2^2+74*p2*p1^2)+a^3*b^5*(-352800*p3+8636*
p2*p1-24*p1^3)-110880*a*b^7*p1+a^5*b^3*(-74520*p5+3800*p4*p1+1565*p3*p2-35*p3*
p1^2-50*p2^2*p1)+a^6*b^2*(15540*p6-1010*p5*p1-535*p4*p2+10*p4*p1^2-140*p3^2+35*
p3*p2*p1)+a^7*b*(-1800*p7+140*p6*p1+99*p5*p2-p5*p1^2+40*p4*p3-10*p4*p2*p1)+a^8*
(90*p8-8*p7*p1-7*p6*p2-4*p5*p3+p5*p2*p1)+a^2*b^5*(-763560+298500*W-1860*W^2)*p1
[6, 2, 2, 2]
a*b^6*(-75600*W+75600*W^2)+a^4*b^3*(1/3*(5367087-1490505/2*W+3705/2*W^2)*p3+1/2
*(-795853+45388*W-86*W^2)*p2*p1+1/6*(78843-3456*W+12*W^2)*p1^3)+a^4*b*(990660-
13481119/12*W+7224487/24*W^2-97347/4*W^3+13577/24*W^4-8/3*W^5)*p1+a^5*b^2*(1/4*
(-3014580+304950*W-950*W^2)*p4+1/3*(490698-56677/2*W+105/2*W^2)*p3*p1+1/8*(
476160-10872*W)*p2^2+1/4*(-58016+1980*W)*p2*p1^2+1/24*(6552-176*W)*p1^4)+a^7*(1
/6*(-83160+5061*W-21*W^2)*p6+1/5*(17455-1725/2*W+5/2*W^2)*p5*p1+1/8*(16560-360*
W)*p4*p2+1/8*(-3280+120*W)*p4*p1^2+1/18*(17340-240*W)*p3^2+1/6*(-2721+36*W)*p3*
p2*p1+1/18*(507-12*W)*p3*p1^3-81/2*p2^3+45/2*p2^2*p1^2-p2*p1^4)+a^2*b^6*(-
439152*p2+8952*p1^2)+a^4*b^2*(1/2*(-5018670+2214244*W-184832*W^2+1368*W^3)*p2+1
/2*(1388874-1010984/3*W+17846*W^2-586/3*W^3)*p1^2)+a^2*b^4*(-372428*W+433302*W^
2-61012*W^3+138*W^4)+a^2*b^5*(1042440-418992*W+4752*W^2)*p1+a^3*b^4*(1/2*(-
4251954+894902*W-2182*W^2)*p2+1/2*(604614-44908*W+288*W^2)*p1^2)+a^6*(1/4*(-
734580+167960*W-8420*W^2+60*W^3)*p4+1/3*(215113-69163/2*W+2535/2*W^2-6*W^3)*p3*
p1+1/8*(245508-32796*W+756*W^2)*p2^2+1/4*(-48440+5928*W-156*W^2)*p2*p1^2+1/24*(
9412-1016*W+24*W^2)*p1^4)+a^5*b*(1/3*(3450753-3138941/3*W+65655*W^2-1384/3*W^3)
*p3+1/2*(-984890+182017*W-7183*W^2+40*W^3)*p2*p1+1/6*(184452-81191/3*W+939*W^2-
16/3*W^3)*p1^3)+a^3*b^5*(515774*p3-24818*p2*p1+264*p1^3)+151200*a*b^7*p1+a^4*(-
74052*W+115773*W^2-96717/2*W^3+13965/2*W^4-699/2*W^5+9/2*W^6)+a^5*(1/2*(-844140
+577777*W-105736*W^2+6000*W^3-81*W^4)*p2+1/2*(353100-160445*W+21028*W^2-998*W^3
+15*W^4)*p1^2)+a^3*b^2*(-886079/2*W+7181101/12*W^2-999253/6*W^3+134819/12*W^4-
235/3*W^5)+a^5*b^3*(119690*p5-13265*p4*p1-5855/3*p3*p2+560*p3*p1^2+75*p2^2*p1-
25/3*p2*p1^3)+a^4*b^4*(-324315*p4+25049*p3*p1+2052*p2^2-670*p2*p1^2+4*p1^4)+a^6
*b^2*(-26208*p6+3843*p5*p1+1455/2*p4*p2-465/2*p4*p1^2+350/3*p3^2-105/2*p3*p2*p1
+35/6*p3*p1^3)+a^7*b*(3176*p7-581*p6*p1-141*p5*p2+46*p5*p1^2-100/3*p4*p3+15*p4*
p2*p1-5/3*p4*p1^3)+a^6*b*(1/5*(800025-124065/2*W+465/2*W^2)*p5+1/4*(-147130+
8080*W-20*W^2)*p4*p1+1/6*(-140975+2964*W)*p3*p2+1/6*(22515-804*W)*p3*p1^2+1/8*(
18156-288*W)*p2^2*p1+1/12*(-2690+48*W)*p2*p1^3+5/2*p1^5)+a^8*(-165*p8+36*p7*p1+
21/2*p6*p2-7/2*p6*p1^2+10/3*p5*p3-3/2*p5*p2*p1+1/6*p5*p1^3)+a^3*b^3*(2042010-
4772621/3*W+208796*W^2-11335/3*W^3+6*W^4)*p1
[5, 5]
a^6*b*(1/5*(28330-2220*W)*p5+1/4*(-2524+36*W)*p4*p1+1/6*(-4140+108*W)*p3*p2+12*
p3*p1^2)+a^2*b^6*(-21906*p2+18*p1^2)+a^7*(1/6*(-2520+168*W)*p6+42*p5*p1+1/8*(
440-24*W)*p4*p2-2*p4*p1^2+20*p3^2)+a^3*b^5*(23578*p3-66*p2*p1)+a^2*b^4*(-20037*
W+46359/2*W^2-3147*W^3+9/2*W^4)+a^5*b*(1/3*(154540-43725*W+2640*W^2-15*W^3)*p3+
1/2*(-34928+4674*W-54*W^2)*p2*p1+1/6*(2992-108*W)*p1^3)+a^3*b^3*(108144-79339*W
+9083*W^2-32*W^3)*p1+a^4*b^2*(1/2*(-248178+307991/3*W-8080*W^2+109/3*W^3)*p2+1/
2*(57046-9629*W+93*W^2)*p1^2)+a^6*(1/4*(-28980+18578/3*W-316*W^2+10/3*W^3)*p4+1
/3*(5910-600*W)*p3*p1+1/8*(8680-1140*W+36*W^2)*p2^2+1/4*(-680+24*W)*p2*p1^2+2*
p1^4)+a^5*(1/2*(-41040+79543/3*W-4599*W^2+797/3*W^3-5*W^4)*p2+1/2*(14544-15638/
3*W+416*W^2-10/3*W^3)*p1^2)+a^4*b*(52128-335491/6*W+27089/2*W^2-5309/6*W^3+15/2
*W^4)*p1+a^3*b^2*(-24074*W+192779/6*W^2-17223/2*W^3+3349/6*W^4-5/2*W^5)+a^4*(-
16277/4*W+451087/72*W^2-60859/24*W^3+3227/9*W^4-455/24*W^5+25/72*W^6)+8064*a*b^
7*p1+a^4*b^4*(-26745/2*p4+36*p3*p1+121/2*p2^2)+a^5*b^3*(4408*p5-6*p4*p1-66*p3*
p2)+a^6*b^2*(-861*p6+11*p4*p2+18*p3^2)+a^7*b*(94*p7-6*p4*p3)+a^4*b^3*(1/3*(
243786-31986*W+54*W^2)*p3+1/2*(-25630+234*W)*p2*p1+12*p1^3)+a^2*b^5*(55440-
20898*W+18*W^2)*p1+a^3*b^4*(1/2*(-211728+41858*W-66*W^2)*p2+1/2*(23212-108*W)*
p1^2)+a^8*(-9/2*p8+1/2*p4^2)+a*b^6*(-4032*W+4032*W^2)+a^5*b^2*(1/4*(-122160+
11932*W-12*W^2)*p4+1/3*(11688-162*W)*p3*p1+1/8*(16360-264*W)*p2^2-22*p2*p1^2)
[5, 4, 2]
a^6*b*(1/5*(-440090+36660*W-30*W^2)*p5+1/4*(58476-2624*W+4*W^2)*p4*p1+1/6*(
70500-1836*W)*p3*p2+1/6*(-4932+126*W)*p3*p1^2+1/8*(-3480+72*W)*p2^2*p1+6*p2*p1^
3)+a^5*b^2*(1/4*(1758240-182096*W+296*W^2)*p4+1/3*(-223578+9375*W-27*W^2)*p3*p1
+1/8*(-253480+4392*W)*p2^2+1/4*(12716-220*W)*p2*p1^2-4*p1^4)+a^4*b^3*(1/3*(-
3293070+455364*W-954*W^2)*p3+1/2*(412466-13874*W+40*W^2)*p2*p1+1/6*(-18450+180*
W)*p1^3)+a*b^6*(49896*W-49896*W^2)+a^7*(1/6*(42840-3024*W)*p6+1/5*(-6110+270*W)
*p5*p1+1/8*(-7160+216*W)*p4*p2+1/8*(648-16*W)*p4*p1^2+1/18*(-9180+360*W)*p3^2+1
/6*(600-18*W)*p3*p2*p1-2*p3*p1^3)+a^4*b^2*(1/2*(3198252-4139267/3*W+114204*W^2-
1705/3*W^3)*p2+1/2*(-808252+504290/3*W-5694*W^2+100/3*W^3)*p1^2)+a^2*b^4*(
246830*W-286833*W^2+40072*W^3-69*W^4)+a^5*b*(1/3*(-2099462+625876*W-39933*W^2+
227*W^3)*p3+1/2*(534948-87287*W+2468*W^2-11*W^3)*p2*p1+1/6*(-70904+7050*W-120*W
^2)*p1^3)+a^3*b^3*(-1343628+3060587/3*W-126541*W^2+3925/3*W^3-3*W^4)*p1+a^6*(1/
4*(420840-287042/3*W+4988*W^2-82/3*W^3)*p4+1/3*(-105218+30649/2*W-477*W^2+5/2*W
^3)*p3*p1+1/8*(-128800+16200*W-288*W^2)*p2^2+1/4*(16920-1508*W+24*W^2)*p2*p1^2+
1/24*(-1808+96*W)*p1^4)+a^6*b^2*(14364*p6-854*p5*p1-242*p4*p2+2*p4*p1^2-294*p3^
2+29*p3*p2*p1)+a^3*b^2*(295124*W-1191508/3*W^2+656129/6*W^3-22034/3*W^4+211/6*W
^5)+a^4*(49600*W-693446/9*W^2+95266/3*W^3-40718/9*W^4+662/3*W^5-20/9*W^6)+a^5*(
1/2*(533520-1070191/3*W+63862*W^2-10559/3*W^3+36*W^4)*p2+1/2*(-207216+86109*W-
29096/3*W^2+345*W^3-10/3*W^4)*p1^2)+a^4*b*(-649872+1439149/2*W-2223385/12*W^2+
41336/3*W^3-2687/12*W^4+5/6*W^5)*p1+a^7*b*(-1712*p7+126*p6*p1+18*p5*p2+104*p4*
p3-3*p4*p2*p1-6*p3^2*p1)+a^8*(90*p8-8*p7*p1-6*p5*p3-5*p4^2+p4*p3*p1)+a^2*b^5*(-
687204+268782*W-1410*W^2)*p1+a^3*b^4*(1/2*(2719584-561896*W+1052*W^2)*p2+1/2*(-
339544+12784*W-24*W^2)*p1^2)+a^2*b^6*(281256*p2-2544*p1^2)-99792*a*b^7*p1+a^3*b
^5*(-318068*p3+6926*p2*p1-12*p1^3)+a^4*b^4*(191730*p4-6518*p3*p1-977*p2^2+40*p2
*p1^2)+a^5*b^3*(-67868*p5+3148*p4*p1+1126*p3*p2-18*p3*p1^2-33*p2^2*p1)
[5, 3, 3]
a^4*b^3*(1/3*(-1468890+422715/2*W-2907/2*W^2)*p3+1/2*(171141-3864*W+23*W^2)*p2*
p1+1/6*(-2583+27*W)*p1^3)+a^3*b^4*(1/2*(1209622-256165*W+1509*W^2)*p2+1/2*(-
142094+2057*W-9*W^2)*p1^2)+a*b^6*(22176*W-22176*W^2)+a^6*b*(1/5*(-201240+35925/
2*W-405/2*W^2)*p5+1/4*(19258-268*W+2*W^2)*p4*p1+1/6*(39630-1848*W+18*W^2)*p3*p2
-80*p3*p1^2+1/8*(-2652+60*W)*p2^2*p1+2*p2*p1^3)+a^5*b^2*(1/4*(790700-86636*W+
796*W^2)*p4+1/3*(-82923+1266*W-9*W^2)*p3*p1+1/8*(-134444+6500*W-56*W^2)*p2^2+1/
4*(3066-42*W)*p2*p1^2-p1^4)+a^7*(1/6*(20160-1533*W+21*W^2)*p6-336*p5*p1+1/8*(-
5380+352*W-4*W^2)*p4*p2+8*p4*p1^2-200*p3^2+40*p3*p2*p1+1/48*(1320-72*W)*p2^3-p2
^2*p1^2)+a^2*b^4*(109720*W-128020*W^2+18408*W^3-108*W^4)+a^4*b^2*(1/2*(1420132-
3781019/6*W+233411/4*W^2-3194/3*W^3+23/4*W^4)*p2+1/2*(-341996+191558/3*W-2389/2
*W^2+59/6*W^3)*p1^2)+a^2*b^5*(-305536+120304*W-432*W^2)*p1+a^5*b*(1/3*(-931428+
582281/2*W-86685/4*W^2+413*W^3-9/4*W^4)*p3+1/2*(225188-108232/3*W+1125*W^2-41/3
*W^3)*p2*p1+1/6*(-19476+696*W-6*W^2)*p1^3)+a^6*(1/4*(187320-137501/3*W+6137/2*W
^2-226/3*W^3+1/2*W^4)*p4+1/3*(-40080+4740*W-60*W^2)*p3*p1+1/8*(-65744+35888/3*W
-722*W^2+46/3*W^3)*p2^2+1/4*(5240-328*W+4*W^2)*p2*p1^2-6*p1^4)+a^5*(1/2*(235680
-326513/2*W+392291/12*W^2-31055/12*W^3+1189/12*W^4-19/12*W^5)*p2+1/2*(-85728+
33326*W-6315/2*W^2+72*W^3-1/2*W^4)*p1^2)+a^3*b^2*(788005/6*W-535028/3*W^2+
1220261/24*W^3-93719/24*W^4+557/8*W^5-3/8*W^6)-44352*a*b^7*p1+a^2*b^6*(125232*
p2-432*p1^2)+a^3*b^5*(-142302*p3+1509*p2*p1-3*p1^3)+a^4*(44325/2*W-420079/12*W^
2+363487/24*W^3-118789/48*W^4+8645/48*W^5-319/48*W^6+5/48*W^7)+a^4*b^4*(86615*
p4-969*p3*p1-2239/2*p2^2+23/2*p2*p1^2)+a^6*b^2*(6748*p6-81*p5*p1-419*p4*p2+1/2*
p4*p1^2-66*p3^2+6*p3*p2*p1+11/2*p2^3)+a^5*b^3*(-31158*p5+398*p4*p1+1075*p3*p2-3
*p3*p1^2-14*p2^2*p1)+a^7*b*(-828*p7+7*p6*p1+81*p5*p2+26*p4*p3-p4*p2*p1-3*p3*p2^
2)+a^8*(45*p8-7*p6*p2-5/2*p4^2+1/2*p4*p2^2)+a^3*b^3*(-597616+913871/2*W-229771/
4*W^2+1307/2*W^3-9/4*W^4)*p1+a^4*b*(-289056+3870691/12*W-2043265/24*W^2+54567/8
*W^3-3935/24*W^4+37/24*W^5)*p1
[5, 3, 2, 2]
a^2*b^6*(-1056204*p2+15588*p1^2)+a^3*b^4*(1/2*(-10212920+2201738*W-8114*W^2)*p2
+1/2*(1390144-79718*W+438*W^2)*p1^2)+a*b^6*(-181440*W+181440*W^2)+a^5*b^2*(1/4*
(-7298920+798310*W-4150*W^2)*p4+1/3*(1078398-56988*W+324*W^2)*p3*p1+1/8*(
1197722-37802*W+146*W^2)*p2^2+1/4*(-101050+3219*W-17*W^2)*p2*p1^2+1/24*(6678-
108*W)*p1^4)+a^4*b^3*(1/3*(12920370-3757581/2*W+15957/2*W^2)*p3+1/2*(-1815558+
89211*W-435*W^2)*p2*p1+1/6*(131406-4158*W+18*W^2)*p1^3)+a^6*b*(1/5*(1959570-
343725/2*W+2085/2*W^2)*p5+1/4*(-313228+16890*W-114*W^2)*p4*p1+1/6*(-367395+
12537*W-45*W^2)*p3*p2+1/6*(37605-1269*W+9*W^2)*p3*p1^2+1/8*(38916-1200*W)*p2^2*
p1+1/12*(-3306+72*W)*p2*p1^3+p1^5)+a^7*(1/6*(-207900+15225*W-105*W^2)*p6+1/5*(
36360-1875*W+15*W^2)*p5*p1+1/8*(45450-1810*W+10*W^2)*p4*p2+1/8*(-5198+170*W-2*W
^2)*p4*p1^2+1/18*(47520-1440*W)*p3^2+1/6*(-6180+192*W)*p3*p2*p1+28*p3*p1^3+1/48
*(-6660+216*W)*p2^3+1/16*(788-24*W)*p2^2*p1^2-p2*p1^4)+a^2*b^4*(-893790*W+
1043751*W^2-150498*W^3+537*W^4)+a^3*b^3*(4902972-3840080*W+509259*W^2-8416*W^3+
33*W^4)*p1+a^4*b^2*(1/2*(-12038966+10842249/2*W-970131/2*W^2+5386*W^3-13*W^4)*
p2+1/2*(3238138-4527293/6*W+35398*W^2-1316/3*W^3+3/2*W^4)*p1^2)+a^4*b*(2378376-
5422637/2*W+2954997/4*W^2-123973/2*W^3+6315/4*W^4-15*W^5)*p1+a^5*b*(1/3*(
8270214-5208705/2*W+182829*W^2-2181*W^3+9/2*W^4)*p3+1/2*(-2283608+423261*W-
17337*W^2+204*W^3)*p2*p1+1/6*(363564-47078*W+1494*W^2-16*W^3)*p1^3)+a^7*b*(8724
*p7-1078*p6*p1-963/2*p5*p2+93/2*p5*p1^2-348*p4*p3+123/2*p4*p2*p1-1/2*p4*p1^3+24
*p3^2*p1+9*p3*p2^2-3*p3*p2*p1^2)+a^6*(1/4*(-1760220+428307*W-25452*W^2+346*W^3-
W^4)*p4+1/3*(484272-79073*W+3213*W^2-40*W^3)*p3*p1+1/8*(598392-91098*W+3298*W^2
-40*W^3)*p2^2+1/4*(-95872+34210/3*W-368*W^2+14/3*W^3)*p2*p1^2+1/24*(13008-1020*
W+12*W^2)*p1^4)+a^3*b^2*(-3192280/3*W+8677259/6*W^2-1646631/4*W^3+358337/12*W^4
-3851/12*W^5+3/4*W^6)+a^5*(1/2*(-2019600+16906235/12*W-6533767/24*W^2+35891/2*W
^3-9641/24*W^4+43/12*W^5)*p2+1/2*(822096-4431905/12*W+1145621/24*W^2-13873/6*W^
3+1147/24*W^4-5/12*W^5)*p1^2)+a^4*(-178200*W+6742273/24*W^2-5764447/48*W^3+
884369/48*W^4-51991/48*W^5+1133/48*W^6-5/24*W^7)+a^8*(-495*p8+72*p7*p1+77/2*p6*
p2-7/2*p6*p1^2+24*p5*p3-6*p5*p2*p1+15*p4^2-4*p4*p3*p1-3/2*p4*p2^2+1/2*p4*p2*p1^
2)+a^3*b^5*(1247076*p3-44436*p2*p1+312*p1^3)+a^4*b^4*(-793015*p4+43842*p3*p1+
6882*p2^2-878*p2*p1^2+3*p1^4)+a^5*b^3*(298920*p5-23150*p4*p1-14637/2*p3*p2+1275
/2*p3*p1^2+651/2*p2^2*p1-17/2*p2*p1^3)+a^2*b^5*(2502528-1011852*W+8868*W^2)*p1+
a^6*b^2*(-67886*p6+6822*p5*p1+5161/2*p4*p2-487/2*p4*p1^2+948*p3^2-263*p3*p2*p1+
3*p3*p1^3-33/2*p2^3+11/2*p2^2*p1^2)+362880*a*b^7*p1
[5, 2, 2, 2, 2]
a^4*b^4*(655340*p4-55474*p3*p1-5891*p2^2+1853*p2*p1^2-17*p1^4)+a^3*b^5*(-988618
*p3+52608*p2*p1-672*p1^3)+a^2*b^6*(808419*p2-18108*p1^2)+a^6*b^2*(61726*p6-9912
*p5*p1-9677/4*p4*p2+716*p4*p1^2-674*p3^2+920/3*p3*p2*p1-28*p3*p1^3+99/8*p2^3-33
/4*p2^2*p1^2+11/24*p2*p1^4)+a^5*b^3*(-258760*p5+62685/2*p4*p1+18886/3*p3*p2-
1601*p3*p1^2-1497/4*p2^2*p1+125/3*p2*p1^3-1/4*p1^5)+a^7*b*(-8332*p7+1680*p6*p1+
495*p5*p2-159*p5*p1^2+1489/6*p4*p3-165/2*p4*p2*p1+53/6*p4*p1^3-20*p3^2*p1-27/4*
p3*p2^2+9/2*p3*p2*p1^2-1/4*p3*p1^4)+a^8*(495*p8-120*p7*p1-42*p6*p2+14*p6*p1^2-
20*p5*p3+9*p5*p2*p1-p5*p1^3-35/4*p4^2+10/3*p4*p3*p1+9/8*p4*p2^2-3/4*p4*p2*p1^2+
1/24*p4*p1^4)+a^7*(1/6*(194040-13944*W+84*W^2)*p6+1/5*(-45090+2655*W-15*W^2)*p5
*p1+1/8*(-44660+1596*W-6*W^2)*p4*p2+1/8*(9772-454*W+2*W^2)*p4*p1^2+1/18*(-46200
+1200*W)*p3^2+1/6*(8630-240*W)*p3*p2*p1+1/18*(-1890+60*W)*p3*p1^3+1/48*(7020-
162*W)*p2^3+1/16*(-1596+36*W)*p2^2*p1^2+1/48*(332-6*W)*p2*p1^4-1/12*p1^6)-
270270*a*b^7*p1+a^2*b^4*(1326065/2*W-776043*W^2+226759/2*W^3-369*W^4)+a^3*b^3*(
-3661182+5870919/2*W-1633157/4*W^2+17083/2*W^3-111/4*W^4)*p1+a^4*b^2*(1/2*(
9244522-25566655/6*W+1546707/4*W^2-24341/6*W^3+29/4*W^4)*p2+1/2*(-2668648+
2089408/3*W-83325/2*W^2+1880/3*W^3-3/2*W^4)*p1^2)+a^5*b*(1/3*(-6611932+6391024/
3*W-599439/4*W^2+4772/3*W^3-9/4*W^4)*p3+1/2*(1991464-809803/2*W+38187/2*W^2-199
*W^3)*p2*p1+1/6*(-403516+403373/6*W-5955/2*W^2+107/3*W^3)*p1^3)+a^6*(1/4*(
1483020-2206687/6*W+43063/2*W^2-1505/6*W^3+1/2*W^4)*p4+1/3*(-463470+250370/3*W-
3755*W^2+115/3*W^3)*p3*p1+1/8*(-530464+164097/2*W-2814*W^2+51/2*W^3)*p2^2+1/4*(
114608-33047/2*W+619*W^2-11/2*W^3)*p2*p1^2+1/24*(-25008+19843/6*W-116*W^2+5/6*W
^3)*p1^4)+a^4*b*(-1780416+12437591/6*W-2338449/4*W^2+1245397/24*W^3-5867/4*W^4+
101/8*W^5)*p1+a^5*(1/2*(1562220-3337486/3*W+874719/4*W^2-42914/3*W^3+1169/4*W^4
-2*W^5)*p2+1/2*(-676764+327587*W-569453/12*W^2+32047/12*W^3-715/12*W^4+5/12*W^5
)*p1^2)+a^3*b^2*(2357243/3*W-12870475/12*W^2+7416821/24*W^3-539113/24*W^4+1769/
8*W^5-3/8*W^6)+a^4*(130900*W-14942089/72*W^2+1434731/16*W^3-124376/9*W^4+19037/
24*W^5-1111/72*W^6+5/48*W^7)+a*b^6*(135135*W-135135*W^2)+a^3*b^4*(1/2*(7820188-
1727594*W+6060*W^2)*p2+1/2*(-1169080+95028*W-780*W^2)*p1^2)+a^2*b^5*(-1865808+
774021*W-9792*W^2)*p1+a^4*b^3*(1/3*(-10264110+1525983*W-5721*W^2)*p3+1/2*(
1623566-104568*W+414*W^2)*p2*p1+1/6*(-175764+9318*W-60*W^2)*p1^3)+a^5*b^2*(1/4*
(6068000-673845*W+3085*W^2)*p4+1/3*(-1067568+70540*W-291*W^2)*p3*p1+1/8*(-
1046632+33441*W-93*W^2)*p2^2+1/4*(141028-6292*W+20*W^2)*p2*p1^2+1/24*(-18696+
775*W-3*W^2)*p1^4)+a^6*b*(1/5*(-1718950+151080*W-810*W^2)*p5+1/4*(345908-22179*
W+108*W^2)*p4*p1+1/6*(338830-10923*W+27*W^2)*p3*p2+1/6*(-60058+2811*W-9*W^2)*p3
*p1^2+1/8*(-50448+1485*W)*p2^2*p1+1/12*(8956-303*W)*p2*p1^3+1/120*(-1480+45*W)*
p1^5)
[4, 4, 3]
a^8*(45*p8-7/2*p6*p2-6*p5*p3+1/2*p3^2*p2)+a^7*(1/6*(18900-3045/2*W+21/2*W^2)*p6
+1/5*(-1770+60*W)*p5*p1+1/8*(-3720+120*W)*p4*p2+1/18*(-5220+729/2*W-9/2*W^2)*p3
^2+1/6*(282-12*W)*p3*p2*p1+9*p2^3)+a^4*b^2*(1/2*(1331542-1770751/3*W+53819*W^2-
2240/3*W^3+4*W^4)*p2+1/2*(-322036+61094*W-1210*W^2+8*W^3)*p1^2)+a^2*b^4*(308567
/3*W-120040*W^2+51793/3*W^3-80*W^4)+a^3*b^3*(-560220+1284758/3*W-107513/2*W^2+
1543/3*W^3-3/2*W^4)*p1+a^5*b*(1/3*(-873072+546207/2*W-39903/2*W^2+579/2*W^3-3/2
*W^4)*p3+1/2*(211667-34221*W+1009*W^2-10*W^3)*p2*p1+1/6*(-18801+852*W-12*W^2)*
p1^3)+a^6*(1/4*(175140-42930*W+2640*W^2-30*W^3)*p4+1/3*(-39810+11853/2*W-459/2*
W^2+3*W^3)*p3*p1+1/8*(-55116+8124*W-228*W^2)*p2^2+1/4*(4662-344*W+8*W^2)*p2*p1^
2)+a^3*b^2*(123107*W-2004709/12*W^2+569461/12*W^3-10652/3*W^4+575/12*W^5-1/4*W^
6)+a^4*(20736*W-97627/3*W^2+41380/3*W^3-6317/3*W^4+362/3*W^5-2*W^6)+a^4*b*(-
270900+1811717/6*W-158915/2*W^2+18692/3*W^3-127*W^4+W^5)*p1+a^5*(1/2*(221400-
909761/6*W+57953/2*W^2-5609/3*W^3+32*W^4)*p2+1/2*(-82800+67451/2*W-7383/2*W^2+
136*W^3-2*W^4)*p1^2)+a^2*b^6*(117446*p2-320*p1^2)+a*b^6*(20790*W-20790*W^2)+a^4
*b^4*(81485*p4-728*p3*p1-917*p2^2+8*p2*p1^2)+a^3*b^5*(-133578*p3+1148*p2*p1-2*
p1^3)-41580*a*b^7*p1+a^3*b^4*(1/2*(1134140-240800*W+1148*W^2)*p2+1/2*(-132950+
1674*W-6*W^2)*p1^2)+a^2*b^5*(-286440+112826*W-320*W^2)*p1+a^6*b^2*(6440*p6-51*
p5*p1-625/2*p4*p2-128*p3^2+5*p3*p2*p1+9/2*p2^3)+a^5*b^3*(-29454*p5+535/2*p4*p1+
945*p3*p2-2*p3*p1^2-21/2*p2^2*p1)+a^4*b^3*(1/3*(-1377360+199740*W-1092*W^2)*p3+
1/2*(159694-3352*W+16*W^2)*p2*p1+1/6*(-1764+24*W)*p1^3)+a^7*b*(-804*p7+7/2*p6*
p1+57*p5*p2+45*p4*p3-1/2*p3^2*p1-3*p3*p2^2)+a^5*b^2*(1/4*(741440-82615*W+535*W^
2)*p4+1/3*(-78804+1665*W-6*W^2)*p3*p1+1/8*(-120168+4890*W-42*W^2)*p2^2+1/4*(
2164-40*W)*p2*p1^2)+a^6*b*(1/5*(-188700+34815/2*W-255/2*W^2)*p5+1/4*(18520-420*
W)*p4*p1+1/6*(35496-1617*W+15*W^2)*p3*p2+1/6*(-450+12*W)*p3*p1^2+1/8*(-1824+48*
W)*p2^2*p1)
[4, 4, 2, 2]
a^6*(1/4*(-824670+601310/3*W-11520*W^2+250/3*W^3)*p4+1/3*(231303-78089/2*W+3171
/2*W^2-11*W^3)*p3*p1+1/8*(271174-38280*W+900*W^2)*p2^2+1/4*(-46120+5602*W-156*W
^2)*p2*p1^2+1/24*(7554-840*W+24*W^2)*p1^4)+a^2*b^4*(-418938*W+978669/2*W^2-
70572*W^3+351/2*W^4)+a^5*b*(1/3*(3876844-2440129/2*W+169173/2*W^2-1367/2*W^3+3/
2*W^4)*p3+1/2*(-1073053+199198*W-7627*W^2+52*W^3)*p2*p1+1/6*(175381-23745*W+786
*W^2-6*W^3)*p1^3)+a^4*(-83468*W+1181357/9*W^2-167044/3*W^3+74903/9*W^4-1322/3*W
^5+50/9*W^6)+a^5*(1/2*(-947430+3947957/6*W-249853/2*W^2+22721/3*W^3-100*W^4)*p2
+1/2*(389070-352991/2*W+138761/6*W^2-1088*W^3+50/3*W^4)*p1^2)+a^3*b^2*(-997513/
2*W+1355007/2*W^2-769377/4*W^3+54785/4*W^4-397/4*W^5+1/4*W^6)+a^3*b^3*(2298150-
1799700*W+477111/2*W^2-3579*W^3+21/2*W^4)*p1+a^4*b*(1114740-1269975*W+4142627/
12*W^2-171131/6*W^3+7579/12*W^4-11/3*W^5)*p1+a^5*b^2*(1/4*(-3421260+380195*W-
1115*W^2)*p4+1/3*(509385-28212*W+105*W^2)*p3*p1+1/8*(541528-13794*W+54*W^2)*p2^
2+1/4*(-44544+1460*W-6*W^2)*p2*p1^2+1/24*(2664-48*W)*p1^4)+a^4*b^3*(1/3*(
6057210-886959*W+2655*W^2)*p3+1/2*(-848844+40600*W-146*W^2)*p2*p1+1/6*(59268-
1830*W+6*W^2)*p1^3)+a^3*b^4*(1/2*(-4787670+1034472*W-2784*W^2)*p2+1/2*(650784-
36324*W+168*W^2)*p1^2)+a*b^6*(-85050*W+85050*W^2)+a^7*(1/6*(-97020+15141/2*W-21
/2*W^2)*p6+1/5*(17745-1050*W)*p5*p1+1/8*(18500-660*W)*p4*p2+1/8*(-2780+140*W)*
p4*p1^2+1/18*(23040-2169/2*W+9/2*W^2)*p3^2+1/6*(-2361+90*W)*p3*p2*p1+1/18*(351-
18*W)*p3*p1^3-27/2*p2^3+9/2*p2^2*p1^2)+170100*a*b^7*p1+a^2*b^6*(-495252*p2+7002
*p1^2)+a^3*b^5*(585226*p3-19818*p2*p1+128*p1^3)+a^4*b^4*(-745725/2*p4+19860*p3*
p1+5293/2*p2^2-357*p2*p1^2+p1^4)+a^5*b^3*(141148*p5-20975/2*p4*p1-3059*p3*p2+
269*p3*p1^2+249/2*p2^2*p1-3*p2*p1^3)+a^6*b^2*(-32340*p6+3123*p5*p1+3545/4*p4*p2
-395/4*p4*p1^2+666*p3^2-115*p3*p2*p1+p3*p1^3-27/4*p2^3+9/4*p2^2*p1^2)+a^7*b*(
4228*p7-1015/2*p6*p1-243/2*p5*p2+39/2*p5*p1^2-265*p4*p3+15*p4*p2*p1+49/2*p3^2*
p1+9/2*p3*p2^2-3/2*p3*p2*p1^2)+a^8*(-495/2*p8+36*p7*p1+21/4*p6*p2-7/4*p6*p1^2+
21*p5*p3+25/2*p4^2-5*p4*p3*p1-3/4*p3^2*p2+1/4*p3^2*p1^2)+a^2*b^5*(1173060-
474462*W+3852*W^2)*p1+a^6*b*(1/5*(917650-166365/2*W+405/2*W^2)*p5+1/4*(-149600+
8740*W-20*W^2)*p4*p1+1/6*(-163950+5418*W-18*W^2)*p3*p2+1/6*(18438-825*W+3*W^2)*
p3*p1^2+1/8*(13836-360*W)*p2^2*p1+1/12*(-1170+36*W)*p2*p1^3)+a^4*b^2*(1/2*(-
5643609+7617176/3*W-450037/2*W^2+5155/3*W^3-9/2*W^4)*p2+1/2*(1521609-357101*W+
33175/2*W^2-173*W^3+1/2*W^4)*p1^2)
[4, 3, 3, 2]
a^2*b^4*(-744816*W+872924*W^2-128784*W^3+676*W^4)+a*b^6*(-151200*W+151200*W^2)+
a^4*b^3*(1/3*(10799625-1636824*W+10374*W^2)*p3+1/2*(-1435433+57719*W-445*W^2)*
p2*p1+1/6*(65325-1353*W+9*W^2)*p1^3)+a^3*b^4*(1/2*(-8517350+1878115*W-10023*W^2
)*p2+1/2*(1107658-43249*W+229*W^2)*p1^2)+a^5*b^2*(1/4*(-6136420+717870*W-5750*W
^2)*p4+1/3*(810246-34818*W+312*W^2)*p3*p1+1/8*(1065292-47032*W+424*W^2)*p2^2+1/
4*(-56256+1682*W-14*W^2)*p2*p1^2+1/24*(1524-24*W)*p1^4)+a^4*b*(1982640-27267419
/12*W+5037499/8*W^2-439115/8*W^3+3097/2*W^4-521/24*W^5+1/8*W^6)*p1+a^6*b*(1/5*(
1666425-161805*W+1575*W^2)*p5+1/4*(-223570+10330*W-110*W^2)*p4*p1+1/6*(-338364+
16386*W-174*W^2)*p3*p2+1/6*(17760-423*W+3*W^2)*p3*p1^2+1/8*(31148-1408*W+16*W^2
)*p2^2*p1+1/12*(-1152+24*W)*p2*p1^3)+a^7*(1/6*(-180180+15288*W-168*W^2)*p6+1/5*
(24915-1245*W+15*W^2)*p5*p1+1/8*(42740-2180*W+20*W^2)*p4*p2+1/8*(-2020+40*W)*p4
*p1^2+1/18*(46890-2556*W+36*W^2)*p3^2+1/6*(-4878+243*W-3*W^2)*p3*p2*p1+3*p3*p1^
3+1/48*(-7752+288*W)*p2^3+1/16*(472-16*W)*p2^2*p1^2)+302400*a*b^7*p1+a^4*b^2*(1
/2*(-10027298+27657985/6*W-1767321/4*W^2+42659/6*W^3-159/4*W^4)*p2+1/2*(2614858
-1736629/3*W+44825/2*W^2-929/3*W^3+3/2*W^4)*p1^2)+a^5*b*(1/3*(6881703-4498843/2
*W+699849/4*W^2-6179/2*W^3+75/4*W^4)*p3+1/2*(-1833872+2039671/6*W-57597/4*W^2+
1559/6*W^3-7/4*W^4)*p2*p1+1/6*(234390-23679*W+597*W^2-6*W^3)*p1^3)+a^2*b^6*(-
881904*p2+8304*p1^2)+a^6*(1/4*(-1464540+1134115/3*W-51435/2*W^2+1445/3*W^3-5/2*
W^4)*p4+1/3*(376773-250299/4*W+22725/8*W^2-225/4*W^3+3/8*W^4)*p3*p1+1/8*(506056
-257716/3*W+3884*W^2-176/3*W^3)*p2^2+1/4*(-62960+7086*W-266*W^2+4*W^3)*p2*p1^2+
1/24*(4248-144*W)*p1^4)+a^3*b^2*(-5324693/6*W+3641732/3*W^2-8487337/24*W^3+
662567/24*W^4-3457/8*W^5+19/8*W^6)+a^4*(-148896*W+710003/3*W^2-620627/6*W^3+
100453/6*W^4-6635/6*W^5+181/6*W^6-1/3*W^7)+a^5*(1/2*(-1677720+2385103/2*W-
2907439/12*W^2+107489/6*W^3-6065/12*W^4+17/3*W^5)*p2+1/2*(663960-589287/2*W+
149929/4*W^2-1844*W^3+183/4*W^4-1/2*W^5)*p1^2)+a^3*b^5*(1046382*p3-25197*p2*p1+
105*p1^3)+a^4*b^4*(-672175*p4+23129*p3*p1+16127/2*p2^2-731/2*p2*p1^2+p1^4)+a^5*
b^3*(258066*p5-11890*p4*p1-8765*p3*p2+183*p3*p1^2+629/2*p2^2*p1-7/2*p2*p1^3)+a^
6*b^2*(-60410*p6+3453*p5*p1+3280*p4*p2-105/2*p4*p1^2+1117*p3^2-471/2*p3*p2*p1+1
/2*p3*p1^3-91/2*p2^3+4*p2^2*p1^2)+a^2*b^5*(2086000-848304*W+5504*W^2)*p1+a^7*b*
(8136*p7-539*p6*p1-675*p5*p2+6*p5*p1^2-430*p4*p3+115/2*p4*p2*p1+15*p3^2*p1+33*
p3*p2^2-p3*p2*p1^2-3/2*p2^3*p1)+a^8*(-495*p8+36*p7*p1+56*p6*p2+45*p5*p3-6*p5*p2
*p1+25/2*p4^2-5/2*p4*p3*p1-5/2*p4*p2^2-4*p3^2*p2+1/2*p3*p2^2*p1)+a^3*b^3*(
4087720-6437423/2*W+1724697/4*W^2-13237/2*W^3+143/4*W^4)*p1
[4, 3, 2, 2, 2]
a^5*b^2*(1/4*(20364040-2409440*W+14480*W^2)*p4+1/3*(-3339308+421985/2*W-2827/2*
W^2)*p3*p1+1/8*(-3587296+135896*W-940*W^2)*p2^2+1/4*(372260-16196*W+120*W^2)*p2
*p1^2+1/24*(-35192+1252*W-8*W^2)*p1^4)+a^4*b^3*(1/3*(-34298454+10586299/2*W-
52555/2*W^2)*p3+1/2*(5208080-303295*W+1800*W^2)*p2*p1+1/6*(-451488+19862*W-137*
W^2)*p1^3)+a^2*b^5*(-6220620+2593140*W-27150*W^2)*p1+a^3*b^4*(1/2*(26085300-
5875509*W+25353*W^2)*p2+1/2*(-3770980+256035*W-1867*W^2)*p1^2)+a*b^6*(450450*W-
450450*W^2)+a^6*b*(1/5*(-5816130+1131305/2*W-7865/2*W^2)*p5+1/4*(1059420-69230*
W+510*W^2)*p4*p1+1/6*(1186410-101233/2*W+757/2*W^2)*p3*p2+1/6*(-155726+15395/2*
W-123/2*W^2)*p3*p1^2+1/8*(-148548+6054*W-42*W^2)*p2^2*p1+1/12*(18072-719*W+5*W^
2)*p2*p1^3+1/120*(-1580+40*W)*p1^5)+a^7*(1/6*(665280-55860*W+420*W^2)*p6+1/5*(-
136650+17875/2*W-135/2*W^2)*p5*p1+1/8*(-156720+7450*W-50*W^2)*p4*p2+1/8*(24760-
1330*W+10*W^2)*p4*p1^2+1/18*(-172440+8106*W-66*W^2)*p3^2+1/6*(26226-2411/2*W+15
/2*W^2)*p3*p2*p1+1/18*(-3870+375/2*W-3/2*W^2)*p3*p1^3+1/48*(23256-864*W)*p2^3+1
/16*(-3616+144*W)*p2^2*p1^2+1/48*(408-16*W)*p2*p1^4)+a^4*b^2*(1/2*(30804476-
86581231/6*W+2758319/2*W^2-107093/6*W^3+157/2*W^4)*p2+1/2*(-8702004+13269169/6*
W-122468*W^2+11627/6*W^3-10*W^4)*p1^2)+a^2*b^4*(2209925*W-2594640*W^2+386305*W^
3-1590*W^4)+a^5*b*(1/3*(-22014438+14616207/2*W-558452*W^2+15647/2*W^3-35*W^4)*
p3+1/2*(6466242-2645131/2*W+63972*W^2-1865/2*W^3+4*W^4)*p2*p1+1/6*(-1169130+
363577/2*W-15631/2*W^2+235/2*W^3-1/2*W^4)*p1^3)+a^6*(1/4*(4934160-1284300*W+
84365*W^2-1270*W^3+5*W^4)*p4+1/3*(-1478910+548455/2*W-54421/4*W^2+417/2*W^3-3/4
*W^4)*p3*p1+1/8*(-1766328+293318*W-11750*W^2+152*W^3)*p2^2+1/4*(332948-144134/3
*W+2008*W^2-82/3*W^3)*p2*p1^2+1/24*(-59568+7582*W-298*W^2+4*W^3)*p1^4)+a^5*(1/2
*(5195520-3751966*W+4590517/6*W^2-163153/3*W^3+7901/6*W^4-38/3*W^5)*p2+1/2*(-
2209680+3197602/3*W-927061/6*W^2+26722/3*W^3-1361/6*W^4+7/3*W^5)*p1^2)+a^3*b^2*
(2620650*W-3595132*W^2+4217181/4*W^3-323235/4*W^4+3999/4*W^5-17/4*W^6)+a^4*(
437184*W-697332*W^2+918635/3*W^3-49057*W^4+9191/3*W^5-71*W^6+2/3*W^7)+a^3*b^3*(
-12207930+29490794/3*W-1379120*W^2+80662/3*W^3-128*W^4)*p1+a^4*b*(-5936040+
6940592*W-11900153/6*W^2+723593/4*W^3-64511/12*W^4+259/4*W^5-1/4*W^6)*p1-900900
*a*b^7*p1+a^7*b*(-30936*p7+4704*p6*p1+2010*p5*p2-306*p5*p1^2+1705*p4*p3-315*p4*
p2*p1+10*p4*p1^3-484/3*p3^2*p1-167/2*p3*p2^2+25*p3*p2*p1^2-1/6*p3*p1^4+9/2*p2^3
*p1-1/2*p2^2*p1^3)+a^3*b^5*(-3315696*p3+142007*p2*p1-1389*p1^3)+a^2*b^6*(
2699610*p2-47940*p1^2)+a^8*(1980*p8-360*p7*p1-168*p6*p2+28*p6*p1^2-160*p5*p3+30
*p5*p2*p1-p5*p1^3-75*p4^2+35*p4*p3*p1+15/2*p4*p2^2-5/2*p4*p2*p1^2+28/3*p3^2*p2-
2*p3^2*p1^2-3/2*p3*p2^2*p1+1/6*p3*p2*p1^3)+a^4*b^4*(2217710*p4-443443/3*p3*p1-
46127/2*p2^2+8147/2*p2*p1^2-83/3*p1^4)+a^5*b^3*(-890364*p5+83470*p4*p1+26482*p3
*p2-9833/3*p3*p1^2-2949/2*p2^2*p1+157/2*p2*p1^3-1/3*p1^5)+a^6*b^2*(218596*p6-
26785*p5*p1-19855/2*p4*p2+2795/2*p4*p1^2-12254/3*p3^2+7873/6*p3*p2*p1-245/6*p3*
p1^3+114*p2^3-85/2*p2^2*p1^2+5/6*p2*p1^4)
[4, 2, 2, 2, 2, 2]
a^2*b^6*(-1340943*p2+31470*p1^2)+a^2*b^4*(-1066907*W+1256070*W^2-189943*W^3+780
*W^4)+a^3*b^3*(5929560-29269513/6*W+2853923/4*W^2-98615/6*W^3+309/4*W^4)*p1+a^4
*b^2*(1/2*(-15335756+22066378/3*W-2877889/4*W^2+28412/3*W^3-151/4*W^4)*p2+1/2*(
4579896-7600067/6*W+165241/2*W^2-9109/6*W^3+15/2*W^4)*p1^2)+a^8*(-1287*p8+330*
p7*p1+126*p6*p2-42*p6*p1^2+476/5*p5*p3-63/2*p5*p2*p1+7/2*p5*p1^3+175/4*p4^2-305
/12*p4*p3*p1-45/8*p4*p2^2+15/4*p4*p2*p1^2-5/24*p4*p1^4-5*p3^2*p2+5/3*p3^2*p1^2+
9/8*p3*p2^2*p1-1/4*p3*p2*p1^3+1/120*p3*p1^5)+a^5*b*(1/3*(11356400-11601866/3*W+
1205011/4*W^2-12517/3*W^3+65/4*W^4)*p3+1/2*(-3569780+785643*W-169495/4*W^2+627*
W^3-9/4*W^4)*p2*p1+1/6*(761936-836707/6*W+14591/2*W^2-761/6*W^3+1/2*W^4)*p1^3)+
a^6*(1/4*(-2666664+2136295/3*W-95055/2*W^2+2135/3*W^3-5/2*W^4)*p4+1/3*(877782-
2100367/12*W+75037/8*W^2-1697/12*W^3+3/8*W^4)*p3*p1+1/8*(1004096-173646*W+7302*
W^2-96*W^3)*p2^2+1/4*(-231244+38012*W-1802*W^2+26*W^3)*p2*p1^2+1/24*(54600-
25870/3*W+422*W^2-20/3*W^3)*p1^4)+a^4*b*(2889315-13775905/4*W+8128115/8*W^2-
2339837/24*W^3+6343/2*W^4-925/24*W^5+1/8*W^6)*p1+a^5*(1/2*(-2602314+11516989/6*
W-1604785/4*W^2+175151/6*W^3-2899/4*W^4+7*W^5)*p2+1/2*(1160874-3560045/6*W+
1121791/12*W^2-18001/3*W^3+2021/12*W^4-11/6*W^5)*p1^2)+a^3*b^2*(-3779719/3*W+
20844769/12*W^2-4134631/8*W^3+963937/24*W^4-11875/24*W^5+15/8*W^6)+a^4*(-
1046188/5*W+3023821/9*W^2-299165/2*W^3+438191/18*W^4-46187/30*W^5+647/18*W^6-1/
3*W^7)+436590*a*b^7*p1+a^3*b^5*(1700144*p3-95252*p2*p1+1329*p1^3)+a^4*b^4*(-
1181338*p4+104488*p3*p1+26381/2*p2^2-7855/2*p2*p1^2+43*p1^4)+a^5*b^3*(495488*p5
-124995/2*p4*p1-46445/3*p3*p2+10544/3*p3*p1^2+4419/4*p2^2*p1-358/3*p2*p1^3+13/
12*p1^5)+a*b^6*(-218295*W+218295*W^2)+a^3*b^4*(1/2*(-12957026+2993051*W-13223*W
^2)*p2+1/2*(2013618-172207*W+1623*W^2)*p1^2)+a^2*b^5*(3017385-1288023*W+17295*W
^2)*p1+a^4*b^3*(1/3*(17604444-5577411/2*W+27291/2*W^2)*p3+1/2*(-2924990+204459*
W-1190*W^2)*p2*p1+1/6*(330768-19542*W+171*W^2)*p1^3)+a^6*b^2*(-127694*p6+106827
/5*p5*p1+24985/4*p4*p2-1675*p4*p1^2+2234*p3^2-3070/3*p3*p2*p1+241/3*p3*p1^3-549
/8*p2^3+87/2*p2^2*p1^2-61/24*p2*p1^4+1/60*p1^6)+a^5*b^2*(1/4*(-10888288+1319675
*W-7835*W^2)*p4+1/3*(2026548-297373/2*W+1879/2*W^2)*p3*p1+1/8*(2017880-80481*W+
501*W^2)*p2^2+1/4*(-284928+15179*W-103*W^2)*p2*p1^2+1/24*(40344-2093*W+17*W^2)*
p1^4)+a^6*b*(1/5*(3266720-647067/2*W+4467/2*W^2)*p5+1/4*(-699895+51435*W-365*W^
2)*p4*p1+1/6*(-704270+60771/2*W-399/2*W^2)*p3*p2+1/6*(131076-15271/2*W+107/2*W^
2)*p3*p1^2+1/8*(113049-4797*W+27*W^2)*p2^2*p1+1/12*(-21539+1050*W-6*W^2)*p2*p1^
3+1/120*(3945-191*W+W^2)*p1^5)+a^7*b*(19040*p7-4018*p6*p1-6858/5*p5*p2+411*p5*
p1^2-2905/3*p4*p3+1125/4*p4*p2*p1-80/3*p4*p1^3+337/3*p3^2*p1+51*p3*p2^2-55/2*p3
*p2*p1^2+7/6*p3*p1^4-27/8*p2^3*p1+3/4*p2^2*p1^3-1/40*p2*p1^5)+a^7*(1/6*(-396396
+33516*W-252*W^2)*p6+1/5*(98973-14049/2*W+105/2*W^2)*p5*p1+1/8*(100450-4830*W+
30*W^2)*p4*p2+1/8*(-23450+1430*W-10*W^2)*p4*p1^2+1/18*(106980-4638*W+30*W^2)*p3
^2+1/6*(-21517+1941/2*W-9/2*W^2)*p3*p2*p1+1/18*(5217-555/2*W+3/2*W^2)*p3*p1^3+1
/48*(-17442+648*W)*p2^3+1/16*(4362-180*W)*p2^2*p1^2+1/48*(-1066+48*W)*p2*p1^4+1
/720*(258-12*W)*p1^6)
[3, 3, 3, 3]
a^2*b^4*(-165524/3*W+64882*W^2-29356/3*W^3+78*W^4)+a^3*b^5*(77946*p3-1134*p2*p1
+4*p1^3)+a^5*b*(1/3*(509103-689973/4*W+119535/8*W^2-1611/4*W^3+33/8*W^4)*p3+1/2
*(-130374+47747/2*W-4147/4*W^2+47/2*W^3-1/4*W^4)*p2*p1+1/6*(12168-585*W+9*W^2)*
p1^3)+a^3*b^3*(302960-719624/3*W+32491*W^2-1522/3*W^3+3*W^4)*p1+a^4*b^2*(1/2*(-
742291+4183951/12*W-288991/8*W^2+10745/12*W^3-65/8*W^4)*p2+1/2*(186601-153225/4
*W+8079/8*W^2-63/4*W^3+1/8*W^4)*p1^2)+a^6*(1/4*(-108570+59305/2*W-9755/4*W^2+
175/2*W^3-5/4*W^4)*p4+1/3*(24480-3300*W+60*W^2)*p3*p1+1/8*(42096-9309*W+1559/2*
W^2-31*W^3+1/2*W^4)*p2^2+1/4*(-3604+294*W-6*W^2)*p2*p1^2+9/2*p1^4)+a^3*b^2*(-
394795/6*W+1087739/12*W^2-162631/6*W^3+27775/12*W^4-167/3*W^5+1/2*W^6)+a^4*(-
88649/8*W+1716095/96*W^2-782197/96*W^3+189091/128*W^4-3139/24*W^5+431/64*W^6-19
/96*W^7+1/384*W^8)+a^4*b*(146960-1017109/6*W+1149433/24*W^2-211165/48*W^3+2351/
16*W^4-41/16*W^5+1/48*W^6)*p1+a^5*(1/2*(-123640+543317/6*W-120935/6*W^2+46657/
24*W^3-833/8*W^4+25/8*W^5-1/24*W^6)*p2+1/2*(46200-38591/2*W+8317/4*W^2-129/2*W^
3+3/4*W^4)*p1^2)+a^2*b^6*(-65432*p2+312*p1^2)+22400*a*b^7*p1+a^6*b^2*(-9387/2*
p6+88*p5*p1+1565/4*p4*p2-5/4*p4*p1^2+121/2*p3^2-11*p3*p2*p1-33/4*p2^3+1/4*p2^2*
p1^2)+a^7*b*(651*p7-28/3*p6*p1-88*p5*p2-55/2*p4*p3+5/2*p4*p2*p1+11/2*p3*p2^2-1/
6*p2^3*p1)+a^8*(-165/4*p8+28/3*p6*p2+25/8*p4^2-5/4*p4*p2^2+1/24*p2^4)+a^2*b^5*(
154560-63192*W+312*W^2)*p1+a^3*b^4*(1/2*(-631338+141998*W-1134*W^2)*p2+1/2*(
78382-1584*W+12*W^2)*p1^2)+a^4*b^3*(1/3*(802254-125696*W+1202*W^2)*p3+1/2*(-
100964+6233/2*W-65/2*W^2)*p2*p1+1/6*(2130-85/2*W+1/2*W^2)*p1^3)+a^5*b^2*(1/4*(-
458460+56380*W-740*W^2)*p4+1/3*(52644-2337/2*W+33/2*W^2)*p3*p1+1/8*(87660-5586*
W+82*W^2)*p2^2+1/4*(-2652+69*W-W^2)*p2*p1^2+3/2*p1^4)+a^6*b*(1/5*(125880-13090*
W+220*W^2)*p5+1/4*(-13360+285*W-5*W^2)*p4*p1+1/6*(-28554+1809*W-33*W^2)*p3*p2+
73*p3*p1^2+1/8*(2512-106*W+2*W^2)*p2^2*p1-3*p2*p1^3)+a^7*(1/6*(-13860+1288*W-28
*W^2)*p6+252*p5*p1+1/8*(4500-410*W+10*W^2)*p4*p2-15/2*p4*p1^2+150*p3^2-40*p3*p2
*p1+1/48*(-1512+148*W-4*W^2)*p2^3+3/2*p2^2*p1^2)+a^4*b^4*(-201885/4*p4+2404/3*
p3*p1+6865/8*p2^2-65/4*p2*p1^2+1/24*p1^4)+a^5*b^3*(19641*p5-370*p4*p1-5369/6*p3
*p2+11/2*p3*p1^2+41/2*p2^2*p1-1/6*p2*p1^3)+a*b^6*(-11200*W+11200*W^2)
[3, 3, 3, 2, 2]
a^4*b^4*(997650*p4-151861/3*p3*p1-26745/2*p2^2+2461/2*p2*p1^2-20/3*p1^4)+a^3*b^
5*(-1481080*p3+50670*p2*p1-378*p1^3)+a^2*b^6*(1201620*p2-16480*p1^2)+a^6*b^2*(
101556*p6-9049*p5*p1-6270*p4*p2+665/2*p4*p1^2-2002*p3^2+1295/2*p3*p2*p1-15/2*p3
*p1^3+417/4*p2^3-21*p2^2*p1^2+1/4*p2*p1^4)+a^5*b^3*(-405528*p5+28315*p4*p1+
15334*p3*p2-2534/3*p3*p1^2-3079/4*p2^2*p1+45/2*p2*p1^3-1/12*p1^5)+a^4*b^3*(1/3*
(-15279744+2430011*W-17609*W^2)*p3+1/2*(2228750-233067/2*W+2075/2*W^2)*p2*p1+1/
6*(-148698+10621/2*W-97/2*W^2)*p1^3)+a^7*b*(-14808*p7+4753/3*p6*p1+1422*p5*p2-
65*p5*p1^2+850*p4*p3-715/4*p4*p2*p1+5/4*p4*p1^3-52*p3^2*p1-163/2*p3*p2^2+19/2*
p3*p2*p1^2+65/12*p2^3*p1-1/4*p2^2*p1^3)+a^3*b^4*(1/2*(11600640-2657822*W+16038*
W^2)*p2+1/2*(-1621408+88758*W-654*W^2)*p1^2)+a*b^6*(200200*W-200200*W^2)+a^6*b*
(1/5*(-2625360+273325*W-3235*W^2)*p5+1/4*(420100-25035*W+335*W^2)*p4*p1+1/6*(
575682-62517/2*W+849/2*W^2)*p3*p2+1/6*(-48270+3909/2*W-57/2*W^2)*p3*p1^2+1/8*(-
68812+3672*W-56*W^2)*p2^2*p1+1/12*(5064-195*W+3*W^2)*p2*p1^3-3/2*p1^5)+a^8*(990
*p8-120*p7*p1-140*p6*p2+14/3*p6*p1^2-84*p5*p3+21*p5*p2*p1-75/2*p4^2+10*p4*p3*p1
+45/4*p4*p2^2-5/4*p4*p2*p1^2+8*p3^2*p2-2*p3*p2^2*p1-1/4*p2^4+1/12*p2^3*p1^2)+a^
5*b^2*(1/4*(9112080-1130080*W+10640*W^2)*p4+1/3*(-1374600+76770*W-822*W^2)*p3*
p1+1/8*(-1691916+83869*W-937*W^2)*p2^2+1/4*(130942-5449*W+67*W^2)*p2*p1^2+1/24*
(-8184+243*W-3*W^2)*p1^4)-400400*a*b^7*p1+a^7*(1/6*(304920-28126*W+406*W^2)*p6+
1/5*(-52080+6405/2*W-105/2*W^2)*p5*p1+1/8*(-81420+5185*W-85*W^2)*p4*p2+1/8*(
6760-265*W+5*W^2)*p4*p1^2+1/18*(-82440+4392*W-72*W^2)*p3^2+1/6*(11670-660*W+12*
W^2)*p3*p2*p1-32*p3*p1^3+1/48*(18432-1174*W+22*W^2)*p2^3+1/16*(-1744+98*W-2*W^2
)*p2^2*p1^2+3/2*p2*p1^4)+a^2*b^5*(-2765280+1157940*W-10320*W^2)*p1+a^2*b^4*(
982170*W-1156480*W^2+175350*W^3-1040*W^4)+a^4*b^2*(1/2*(13685436-13040553/2*W+
1320355/2*W^2-12177*W^3+84*W^4)*p2+1/2*(-3771276+2770841/3*W-185025/4*W^2+5021/
6*W^3-25/4*W^4)*p1^2)+a^5*b*(1/3*(-9772704+6686151/2*W-557241/2*W^2+5760*W^3-45
*W^4)*p3+1/2*(2790342-2288679/4*W+234777/8*W^2-2589/4*W^3+47/8*W^4)*p2*p1+1/6*(
-430302+231279/4*W-18237/8*W^2+177/4*W^3-3/8*W^4)*p1^3)+a^6*(1/4*(2189880-
598095*W+44765*W^2-1080*W^3+10*W^4)*p4+1/3*(-616320+227205/2*W-6018*W^2+147*W^3
-3/2*W^4)*p3*p1+1/8*(-808920+152325*W-17339/2*W^2+227*W^3-5/2*W^4)*p2^2+1/4*(
123588-34293/2*W+3327/4*W^2-43/2*W^3+1/4*W^4)*p2*p1^2+1/24*(-13872+1098*W-18*W^
2)*p1^4)+a^3*b^2*(1165480*W-9646423/6*W^2+5771005/12*W^3-472297/12*W^4+8435/12*
W^5-19/4*W^6)+a^4*(194832*W-940306/3*W^2+6762995/48*W^3-767485/32*W^4+84053/48*
W^5-243/4*W^6+7/6*W^7-1/96*W^8)+a^5*(1/2*(2302080-3386185/2*W+2908071/8*W^2-
475899/16*W^3+17087/16*W^4-333/16*W^5+3/16*W^6)*p2+1/2*(-952160+1358594/3*W-
1548487/24*W^2+183169/48*W^3-1963/16*W^4+37/16*W^5-1/48*W^6)*p1^2)+a^3*b^3*(-
5427800+13170095/3*W-1242691/2*W^2+36049/3*W^3-157/2*W^4)*p1+a^4*b*(-2639120+
18604513/6*W-21590591/24*W^2+4093987/48*W^3-138511/48*W^4+807/16*W^5-19/48*W^6)
*p1
[3, 3, 2, 2, 2, 2]
a^3*b^4*(1/2*(-28809294+6753727*W-37043*W^2)*p2+1/2*(4362670-328690*W+2970*W^2)
*p1^2)+a*b^6*(-485100*W+485100*W^2)+a^2*b^6*(-5967945/2*p2+118905/2*p1^2)+a^5*b
^2*(1/4*(-24325640+3081400*W-25160*W^2)*p4+1/3*(4276776-300262*W+2757*W^2)*p3*
p1+1/8*(4634876-217321*W+2173*W^2)*p2^2+1/4*(-539538+28214*W-304*W^2)*p2*p1^2+1
/24*(60936-2905*W+33*W^2)*p1^4)+a^4*b^3*(1/3*(39197931-6379763*W+41063*W^2)*p3+
1/2*(-6314801+413348*W-3253*W^2)*p2*p1+1/6*(609849-31973*W+308*W^2)*p1^3)+a^7*(
1/6*(-900900+84168*W-1008*W^2)*p6+1/5*(201215-29785/2*W+385/2*W^2)*p5*p1+1/8*(
241750-14600*W+200*W^2)*p4*p2+1/8*(-40570+2515*W-35*W^2)*p4*p1^2+1/18*(254820-
13872*W+192*W^2)*p3^2+1/6*(-46213+2692*W-40*W^2)*p3*p2*p1+1/18*(7359-402*W+6*W^
2)*p3*p1^3+1/48*(-49386+2889*W-45*W^2)*p2^3+1/16*(8482-496*W+8*W^2)*p2^2*p1^2+1
/48*(-1210+61*W-W^2)*p2*p1^4+1/8*p1^6)+a^6*b*(1/5*(7345455-778285*W+7825*W^2)*
p5+1/4*(-1447780+211615/2*W-2335/2*W^2)*p4*p1+1/6*(-1648515+171991/2*W-2035/2*W
^2)*p3*p2+1/6*(237677-27343/2*W+335/2*W^2)*p3*p1^2+1/8*(243630-25685/2*W+337/2*
W^2)*p2^2*p1+1/12*(-34536+3589/2*W-49/2*W^2)*p2*p1^3+1/120*(4310-385/2*W+5/2*W^
2)*p1^5)+a^5*b*(1/3*(25212282-8798825*W+1469881/2*W^2-27181/2*W^3+95*W^4)*p3+1/
2*(-7760636+6871445/4*W-772699/8*W^2+7791/4*W^3-125/8*W^4)*p2*p1+1/6*(1503840-
1037203/4*W+106669/8*W^2-1125/4*W^3+19/8*W^4)*p1^3)+a^4*b^2*(1/2*(-34069987+
198767275/12*W-13551547/8*W^2+338507/12*W^3-1417/8*W^4)*p2+1/2*(9990659-
32442941/12*W+1340785/8*W^2-39841/12*W^3+195/8*W^4)*p1^2)+a^2*b^4*(-9482985/4*W
+22384695/8*W^2-1718415/4*W^3+18105/8*W^4)+a^3*b^2*(-2801128*W+23275075/6*W^2-
14066767/12*W^3+1148299/12*W^4-18257/12*W^5+37/4*W^6)+a^6*(1/4*(-5915910+
19724575/12*W-973395/8*W^2+30965/12*W^3-165/8*W^4)*p4+1/3*(1869745-378198*W+
87677/4*W^2-971/2*W^3+17/4*W^4)*p3*p1+1/8*(2253684-5061367/12*W+176619/8*W^2-
6017/12*W^3+37/8*W^4)*p2^2+1/4*(-456684+299399/4*W-31689/8*W^2+369/4*W^3-7/8*W^
4)*p2*p1^2+1/24*(88264-51225/4*W+5023/8*W^2-55/4*W^3+1/8*W^4)*p1^4)+a^4*(-
465894*W+36134747/48*W^2-16360495/48*W^3+11112407/192*W^4-195373/48*W^5+12061/
96*W^6-25/12*W^7+1/64*W^8)+a^5*(1/2*(-5770050+4314192*W-22454267/24*W^2+3596299
/48*W^3-116219/48*W^4+1973/48*W^5-5/16*W^6)*p2+1/2*(2526810-2569805/2*W+1618343
/8*W^2-214857/16*W^3+7137/16*W^4-127/16*W^5+1/16*W^6)*p1^2)+a^7*b*(45414*p7-
7798*p6*p1-7935/2*p5*p2+1255/2*p5*p1^2-11155/4*p4*p3+1455/2*p4*p2*p1-125/4*p4*
p1^3+290*p3^2*p1+1775/8*p3*p2^2-823/12*p3*p2*p1^2+9/8*p3*p1^4-147/8*p2^3*p1+5/2
*p2^2*p1^3-1/24*p2*p1^5)+a^2*b^5*(6706350-5747445/2*W+68505/2*W^2)*p1+a^3*b^3*(
13180440-32648900/3*W+1603670*W^2-108502/3*W^3+224*W^4)*p1+a^4*b*(6422130-
30739365/4*W+6883598/3*W^2-3625125/16*W^3+383995/48*W^4-2111/16*W^5+15/16*W^6)*
p1+a^3*b^5*(3795279*p3-183137*p2*p1+2148*p1^3)+a^6*b^2*(-295589*p6+40768*p5*p1+
136795/8*p4*p2-20855/8*p4*p1^2+18461/3*p3^2-7679/3*p3*p2*p1+107*p3*p1^3-4289/16
*p2^3+1783/16*p2^2*p1^2-187/48*p2*p1^4+1/48*p1^6)+a^5*b^3*(1125666*p5-118380*p4
*p1-40993*p3*p2+16882/3*p3*p1^2+10899/4*p2^2*p1-373/2*p2*p1^3+17/12*p1^5)+a^4*b
^4*(-2653780*p4+594100/3*p3*p1+34070*p2^2-13317/2*p2*p1^2+367/6*p1^4)+a^8*(-
6435/2*p8+660*p7*p1+399*p6*p2-63*p6*p1^2+294*p5*p3-175/2*p5*p2*p1+7/2*p5*p1^3+
1075/8*p4^2-205/3*p4*p3*p1-475/16*p4*p2^2+75/8*p4*p2*p1^2-5/48*p4*p1^4-76/3*p3^
2*p2+4*p3^2*p1^2+23/3*p3*p2^2*p1-2/3*p3*p2*p1^3+9/16*p2^4-3/8*p2^3*p1^2+1/48*p2
^2*p1^4)+970200*a*b^7*p1
[3, 2, 2, 2, 2, 2, 2]
a^3*b^5*(-2782852*p3+323527/2*p2*p1-4769/2*p1^3)+a^2*b^6*(2125410*p2-51450*p1^2
)+a^6*b^2*(245308*p6-42052*p5*p1-14890*p4*p2+3475*p4*p1^2-15922/3*p3^2+5413/2*
p3*p2*p1-1133/6*p3*p1^3+240*p2^3-575/4*p2^2*p1^2+17/2*p2*p1^4-1/12*p1^6)+a^5*b^
3*(-890890*p5+460665/4*p4*p1+34014*p3*p2-20668/3*p3*p1^2-21669/8*p2^2*p1+1115/4
*p2*p1^3-73/24*p1^5)+a^4*b^4*(2015492*p4-549637/3*p3*p1-27246*p2^2+7499*p2*p1^2
-272/3*p1^4)-675675*a*b^7*p1+a^7*b*(-39796*p7+8617*p6*p1+18269/5*p5*p2-4621/5*
p5*p1^2+15275/6*p4*p3-6645/8*p4*p2*p1+1585/24*p4*p1^3-2954/9*p3^2*p1-839/4*p3*
p2^2+298/3*p3*p2*p1^2-131/36*p3*p1^4+333/16*p2^3*p1-73/16*p2^2*p1^3+43/240*p2*
p1^5-1/720*p1^7)+a^8*(3003*p8-792*p7*p1-392*p6*p2+105*p6*p1^2-4312/15*p5*p3+546
/5*p5*p2*p1-28/3*p5*p1^3-525/4*p4^2+85*p4*p3*p1+30*p4*p2^2-125/8*p4*p2*p1^2+5/8
*p4*p1^4+230/9*p3^2*p2-20/3*p3^2*p1^2-19/2*p3*p2^2*p1+14/9*p3*p2*p1^3-1/30*p3*
p1^5-9/16*p2^4+9/16*p2^3*p1^2-1/16*p2^2*p1^4+1/720*p2*p1^6)+a^2*b^4*(1645070*W-
7789845/4*W^2+607985/2*W^3-6405/4*W^4)+a^3*b^3*(-9197370+23234852/3*W-1184108*W
^2+89752/3*W^3-189*W^4)*p1+a^4*b^2*(1/2*(24304572-12089294*W+5074391/4*W^2-
21359*W^3+533/4*W^4)*p2+1/2*(-7459900+12963689/6*W-150979*W^2+19831/6*W^3-25*W^
4)*p1^2)+a^5*b*(1/3*(-18564588+39897499/6*W-569908*W^2+31624/3*W^3-145/2*W^4)*
p3+1/2*(6038446-5683885/4*W+693339/8*W^2-7137/4*W^3+113/8*W^4)*p2*p1+1/6*(-
1327056+3110303/12*W-122771/8*W^2+4291/12*W^3-25/8*W^4)*p1^3)+a^6*(1/4*(4540536
-1297625*W+393965/4*W^2-4165/2*W^3+65/4*W^4)*p4+1/3*(-1548344+334657*W-20849*W^
2+468*W^3-4*W^4)*p3*p1+1/8*(-1800792+349173*W-75011/4*W^2+847/2*W^3-15/4*W^4)*
p2^2+1/4*(425560-464251/6*W+8997/2*W^2-325/3*W^3+W^4)*p2*p1^2+1/24*(-101936+
17694*W-4193/4*W^2+53/2*W^3-1/4*W^4)*p1^4)+a^3*b^2*(5808655/3*W-32345563/12*W^2
+1653637/2*W^3-823859/12*W^4+6529/6*W^5-13/2*W^6)+a^4*b*(-4489485+65605451/12*W
-20164643/12*W^2+8320385/48*W^3-104325/16*W^4+5267/48*W^5-37/48*W^6)*p1+a^5*(1/
2*(4138134-9468592/3*W+5610159/8*W^2-918693/16*W^3+89707/48*W^4-1505/48*W^5+11/
48*W^6)*p2+1/2*(-1885884+6045527/6*W-4080283/24*W^2+589063/48*W^3-20935/48*W^4+
385/48*W^5-1/16*W^6)*p1^2)+a^4*(1603602/5*W-6259987/12*W^2+11491303/48*W^3-
1321817/32*W^4+705239/240*W^5-721/8*W^6+35/24*W^7-1/96*W^8)+a*b^6*(675675/2*W-
675675/2*W^2)+a^3*b^4*(1/2*(20513630-9864349/2*W+55069/2*W^2)*p2+1/2*(-3291294+
583337/2*W-6177/2*W^2)*p1^2)+a^2*b^5*(-4674285+4094895/2*W-57855/2*W^2)*p1+a^4*
b^3*(1/3*(-28745070+9628219/2*W-61891/2*W^2)*p3+1/2*(4971210-370682*W+2945*W^2)
*p2*p1+1/6*(-577668+36707*W-404*W^2)*p1^3)+a^5*b^2*(1/4*(18507672-4834625/2*W+
39185/2*W^2)*p4+1/3*(-3588505+567139/2*W-5163/2*W^2)*p3*p1+1/8*(-3680212+358721
/2*W-3545/2*W^2)*p2^2+1/4*(530642-64047/2*W+691/2*W^2)*p2*p1^2+1/24*(-77584+
9253/2*W-117/2*W^2)*p1^4)+a^6*b*(1/5*(-5844090+638995*W-6355*W^2)*p5+1/4*(
1304015-211465/2*W+2305/2*W^2)*p4*p1+1/6*(1374716-148191/2*W+1719/2*W^2)*p3*p2+
1/6*(-255318+33971/2*W-411/2*W^2)*p3*p1^2+1/8*(-238365+26523/2*W-339/2*W^2)*p2^
2*p1+1/12*(45623-5559/2*W+75/2*W^2)*p2*p1^3+1/120*(-8565+1055/2*W-15/2*W^2)*p1^
5)+a^7*(1/6*(756756-72933*W+861*W^2)*p6+1/5*(-196448+15939*W-203*W^2)*p5*p1+1/8
*(-213990+26635/2*W-355/2*W^2)*p4*p2+1/8*(48440-6935/2*W+95/2*W^2)*p4*p1^2+1/18
*(-225120+12602*W-170*W^2)*p3^2+1/6*(48928-3003*W+43*W^2)*p3*p2*p1+1/18*(-11388
+755*W-11*W^2)*p3*p1^3+1/48*(46170-5481/2*W+81/2*W^2)*p2^3+1/16*(-11056+1389/2*
W-21/2*W^2)*p2^2*p1^2+1/48*(2590-333/2*W+5/2*W^2)*p2*p1^4+1/720*(-588+73/2*W-1/
2*W^2)*p1^6)
[2, 2, 2, 2, 2, 2, 2, 2]
a^3*b^3*(1842750-1580769*W+500021/2*W^2-6871*W^3+93/2*W^4)*p1+a^4*b^2*(1/2*(-
4967111+15178567/6*W-548849/2*W^2+29333/6*W^3-65/2*W^4)*p2+1/2*(1579475-1444664
/3*W+145919/4*W^2-2626/3*W^3+29/4*W^4)*p1^2)+a^5*b*(1/3*(3903382-17267741/12*W+
1025265/8*W^2-30061/12*W^3+147/8*W^4)*p3+1/2*(-1324808+1313953/4*W-172419/8*W^2
+1913/4*W^3-33/8*W^4)*p2*p1+1/6*(314914-800771/12*W+34923/8*W^2-1363/12*W^3+9/8
*W^4)*p1^3)+a^2*b^6*(-867999/2*p2+23535/2*p1^2)+a^6*(1/4*(-990990+3516065/12*W-
186025/8*W^2+6265/12*W^3-35/8*W^4)*p4+1/3*(356874-490295/6*W+21919/4*W^2-799/6*
W^3+5/4*W^4)*p3*p1+1/8*(408478-332793/4*W+38187/8*W^2-465/4*W^3+9/8*W^4)*p2^2+1
/4*(-105982+83519/4*W-10681/8*W^2+143/4*W^3-3/8*W^4)*p2*p1^2+1/24*(28422-65947/
12*W+2963/8*W^2-131/12*W^3+1/8*W^4)*p1^4)+a^3*b^2*(-2307269/6*W+3230977/6*W^2-
1008253/6*W^3+42982/3*W^4-238*W^5+3/2*W^6)+135135*a*b^7*p1+a^4*b*(900900-
6692221/6*W+1057885/3*W^2-227909/6*W^3+36647/24*W^4-55/2*W^5+5/24*W^6)*p1+a^5*(
1/2*(-849420+3968939/6*W-1211521/8*W^2+619595/48*W^3-7101/16*W^4+127/16*W^5-1/
16*W^6)*p2+1/2*(398970-221988*W+950815/24*W^2-147533/48*W^3+1899/16*W^4-115/48*
W^5+1/48*W^6)*p1^2)+a^4*b^4*(-1747855/4*p4+133453/3*p3*p1+50947/8*p2^2-8215/4*
p2*p1^2+691/24*p1^4)+a^4*(-507793/8*W+29958037/288*W^2-4656785/96*W^3+9874195/
1152*W^4-30233/48*W^5+11627/576*W^6-11/32*W^7+1/384*W^8)+a^5*b^3*(200935*p5-
116805/4*p4*p1-49585/6*p3*p2+11917/6*p3*p1^2+5961/8*p2^2*p1-1105/12*p2*p1^3+29/
24*p1^5)+a^6*b^2*(-115969/2*p6+56198/5*p5*p1+30445/8*p4*p2-8525/8*p4*p1^2+8083/
6*p3^2-4727/6*p3*p2*p1+135/2*p3*p1^3-1071/16*p2^3+777/16*p2^2*p1^2-173/48*p2*p1
^4+11/240*p1^6)+a^7*b*(9949*p7-2457*p6*p1-4971/5*p5*p2+1531/5*p5*p1^2-8245/12*
p4*p3+2085/8*p4*p2*p1-625/24*p4*p1^3+920/9*p3^2*p1+501/8*p3*p2^2-147/4*p3*p2*p1
^2+127/72*p3*p1^4-117/16*p2^3*p1+33/16*p2^2*p1^3-9/80*p2*p1^5+1/720*p1^7)+a^8*(
-6435/8*p8+1716/7*p7*p1+231/2*p6*p2-77/2*p6*p1^2+84*p5*p3-189/5*p5*p2*p1+21/5*
p5*p1^3+1225/32*p4^2-175/6*p4*p3*p1-315/32*p4*p2^2+105/16*p4*p2*p1^2-35/96*p4*
p1^4-25/3*p3^2*p2+25/9*p3^2*p1^2+15/4*p3*p2^2*p1-5/6*p3*p2*p1^3+1/36*p3*p1^5+27
/128*p2^4-9/32*p2^3*p1^2+3/64*p2^2*p1^4-1/480*p2*p1^6+1/40320*p1^8)+a^3*b^5*(
583733*p3-75783/2*p2*p1+1269/2*p1^3)+a*b^6*(-135135/2*W+135135/2*W^2)+a^3*b^4*(
1/2*(-4186280+2066723/2*W-12255/2*W^2)*p2+1/2*(701684-136809/2*W+1617/2*W^2)*p1
^2)+a^2*b^5*(935550-418407*W+6570*W^2)*p1+a^4*b^3*(1/3*(6025620-2083807/2*W+
14137/2*W^2)*p3+1/2*(-1098868+89289*W-762*W^2)*p2*p1+1/6*(141876-10088*W+125*W^
2)*p1^3)+a^5*b^2*(1/4*(-4013140+1088325/2*W-9325/2*W^2)*p4+1/3*(832746-71357*W+
696*W^2)*p3*p1+1/8*(834520-87057/2*W+921/2*W^2)*p2^2+1/4*(-135788+18163/2*W-215
/2*W^2)*p2*p1^2+1/24*(22656-3085/2*W+45/2*W^2)*p1^4)+a^6*b*(1/5*(1321180-150829
*W+1594*W^2)*p5+1/4*(-319870+28065*W-330*W^2)*p4*p1+1/6*(-327170+37755/2*W-471/
2*W^2)*p3*p2+1/6*(69520-10265/2*W+137/2*W^2)*p3*p1^2+1/8*(63198-3843*W+54*W^2)*
p2^2*p1+1/12*(-14048+972*W-15*W^2)*p2*p1^3+1/120*(3130-229*W+4*W^2)*p1^5)+a^7*(
1/6*(-180180+18249*W-231*W^2)*p6+1/5*(51450-4527*W+63*W^2)*p5*p1+1/8*(54110-
7245/2*W+105/2*W^2)*p4*p2+1/8*(-14240+2275/2*W-35/2*W^2)*p4*p1^2+1/18*(56700-
3410*W+50*W^2)*p3^2+1/6*(-13900+939*W-15*W^2)*p3*p2*p1+1/18*(3840-293*W+5*W^2)*
p3*p1^3+1/48*(-12690+1647/2*W-27/2*W^2)*p2^3+1/16*(3600-513/2*W+9/2*W^2)*p2^2*
p1^2+1/48*(-1030+159/2*W-3/2*W^2)*p2*p1^4+1/720*(300-49/2*W+1/2*W^2)*p1^6)+a^2*
b^4*(-1311497/4*W+3115755/8*W^2-247753/4*W^3+2745/8*W^4)
[10]
a^7*b*(1/6*(-34272+1344*W)*p6+354*p5*p1+420*p4*p2+220*p3^2)+a^4*b^2*(604800-
1716670/3*W+111706*W^2-15020/3*W^3)*p1+a^2*b^6*(317520-104544*W)*p1+a^3*b^4*(
777600-501120*W+45808*W^2)*p1+a^4*b^3*(1/2*(-2081388+720664*W-42152*W^2)*p2+1/2
*(399848-49984*W)*p1^2)+a^5*b^2*(1/3*(1644615-371742*W+15270*W^2)*p3+1/2*(-
296504+27016*W)*p2*p1+2794*p1^3)+a^6*b*(1/4*(-506232+82000*W-2480*W^2)*p4+1/3*(
79692-5520*W)*p3*p1+1/8*(110928-8064*W)*p2^2-1302*p2*p1^2)+a^5*b*(1/2*(-822168+
445684*W-57916*W^2+1888*W^3)*p2+1/2*(247464-68612*W+3628*W^2)*p1^2)+a^4*b*(-
403609/5*W+700223/6*W^2-120337/3*W^3+25537/6*W^4-1888/15*W^5)+a*b^7*(-20160*W+
20160*W^2)+a^2*b^5*(-120336*W+136080*W^2-15744*W^3)+a^3*b^3*(-200424*W+768968/3
*W^2-58776*W^3+8632/3*W^4)+a^3*b^5*(1/2*(-1277568+210112*W)*p2+58156*p1^2)+a^5*
(72576-269276/3*W+83990/3*W^2-8500/3*W^3+250/3*W^4)*p1+a^4*b^4*(1/3*(1571238-
162456*W)*p3-64888*p2*p1)+a^5*b^3*(1/4*(-873984+62720*W)*p4+20470*p3*p1+10740*
p2^2)+a^6*b^2*(1/5*(245880-12880*W)*p5-3690*p4*p1-4090*p3*p2)-67284*a^4*b^5*p4-
109584*a^2*b^7*p2+118124*a^3*b^6*p3+40320*a*b^8*p1+546*a^7*b^2*p7-36*a^8*b*p8+
22449*a^5*b^4*p5-4536*a^6*b^3*p6+a^8*(1/7*(1890-56*W)*p7-14*p6*p1-18*p5*p2-20*
p4*p3)+a^7*(1/5*(53865-6590*W+150*W^2)*p5+1/4*(-7440+400*W)*p4*p1+1/6*(-12180+
720*W)*p3*p2+80*p3*p1^2+90*p2^2*p1)+a^9*p9+a^6*(1/3*(234540-86106*W+8130*W^2-
200*W^3)*p3+1/2*(-68436+14240*W-600*W^2)*p2*p1+1/6*(8820-800*W)*p1^3)
[9, 2]
a^5*(-403200+2571849/5*W-679383/4*W^2+152577/8*W^3-2889/4*W^4+243/40*W^5)*p1+a^
5*b^3*(1/4*(5584176-427280*W)*p4+1/3*(-556644+15435*W)*p3*p1-73548*p2^2+6381*p2
*p1^2)+a^4*b*(2192861/5*W-1280849/2*W^2+451881/2*W^3-49711/2*W^4+7673/10*W^5)+a
^4*b^4*(1/3*(-9430200+1029924*W)*p3+1/2*(952872-22736*W)*p2*p1-6410*p1^3)+a^3*b
^5*(1/2*(7292832-1254400*W)*p2+1/2*(-766016+24696*W)*p1^2)+a^4*b^2*(-3346560+
3272188*W-4092875/6*W^2+36140*W^3-1645/6*W^4)*p1+a^5*b^4*(-153930*p5+6769*p4*p1
)+a^2*b^6*(-1748880+597672*W-2520*W^2)*p1+a^4*b^5*(429156*p4-13132*p3*p1)+a^3*b
^6*(-708488*p3+13068*p2*p1)+a^2*b^7*(625392*p2-5040*p1^2)+a^3*b^3*(1093648*W-
4226210/3*W^2+331952*W^3-50590/3*W^4)+a^7*b*(1/6*(256536-10920*W)*p6+1/5*(-
27420+735*W)*p5*p1-3420*p4*p2+225*p4*p1^2-1792*p3^2+258*p3*p2*p1)+a*b^7*(110880
*W-110880*W^2)+a^2*b^5*(659328*W-748440*W^2+89112*W^3)+a^6*b^2*(1/5*(-1691580+
95340*W)*p5+1/4*(172344-4900*W)*p4*p1+30402*p3*p2-1682*p3*p1^2-897*p2^2*p1)+a^5
*b^2*(1/3*(-9905058+2360223*W-103227*W^2)*p3+1/2*(2039758-239584*W+3681*W^2)*p2
*p1+1/6*(-209454+13491*W)*p1^3)+a^4*b^3*(1/2*(11906460-4303028*W+265272*W^2)*p2
+1/2*(-2531236+409548*W-9532*W^2)*p1^2)+a^6*b*(1/4*(3253368-560600*W+18240*W^2)
*p4+1/3*(-633960+62316*W-993*W^2)*p3*p1+1/8*(-763056+59472*W)*p2^2+1/4*(74088-
3708*W)*p2*p1^2-198*p1^4)+a^6*b^3*(33768*p6-1960*p5*p1)-221760*a*b^8*p1+a^3*b^4
*(-4291200+2864046*W-286240*W^2+1818*W^3)*p1+a^5*b*(1/2*(4727184-2667016*W+
364800*W^2-12624*W^3)*p2+1/2*(-1551248+499969*W-38752*W^2+743*W^3)*p1^2)+a^7*b^
2*(-4452*p7+322*p6*p1)+a^8*b*(324*p8-28*p7*p1)+a^9*(-10*p9+p8*p1)+a^8*(1/7*(-
15540+504*W)*p7+1/6*(1764-42*W)*p6*p1+162*p5*p2-12*p5*p1^2+180*p4*p3-15*p4*p2*
p1-8*p3^2*p1)+a^7*(1/5*(-374010+49095*W-1215*W^2)*p5+1/4*(70572-5920*W+90*W^2)*
p4*p1+1/6*(91260-5832*W)*p3*p2+1/6*(-9336+432*W)*p3*p1^2+1/8*(-9672+324*W)*p2^2
*p1+54*p2*p1^3)+a^6*(1/3*(-1424760+549639*W-55161*W^2+1458*W^3)*p3+1/2*(463336-
111587*W+6516*W^2-81*W^3)*p2*p1+1/6*(-84936+13662*W-486*W^2)*p1^3)
[8, 3]
a^4*b^2*(-2511600+14835209/6*W-525846*W^2+175045/6*W^3-291*W^4)*p1+a^4*b^5*(
328713*p4-1624*p3*p1-1764*p2^2)+a^5*(-302400+1165570/3*W-393958/3*W^2+15644*W^3
-2096/3*W^4+32/3*W^5)*p1+a^3*b^6*(-535812*p3+2484*p2*p1)+a^3*b^4*(-3220320+
2164110*W-217848*W^2+1056*W^3)*p1+a*b^7*(83160*W-83160*W^2)+a^2*b^7*(470124*p2-
720*p1^2)+a^4*b*(3297491/10*W-2919875/6*W^2+4260625/24*W^3-129247/6*W^4+110983/
120*W^5-13*W^6)+a^6*b^2*(1/5*(-1311040+164885/2*W-875/2*W^2)*p5+1/4*(91540-360*
W)*p4*p1+1/6*(170892-3060*W)*p3*p2-132*p3*p1^2-734*p2^2*p1)+a^5*b^3*(1/4*(
4248048-351050*W+1470*W^2)*p4+1/3*(-337722+1530*W)*p3*p1+1/8*(-512376+10800*W)*
p2^2+1442*p2*p1^2)+a^6*b^3*(27426*p6-175*p5*p1-735*p4*p2)+a^3*b^5*(1/2*(5475696
-968428*W+2484*W^2)*p2+1/2*(-534092+3288*W)*p1^2)+a^4*b^4*(1/3*(-7106340+815325
*W-2436*W^2)*p3+1/2*(651566-5988*W)*p2*p1-780*p1^3)+a^5*b^4*(-120610*p5+735*p4*
p1+1624*p3*p2)+a^2*b^5*(494526*W-563460*W^2+69114*W^3-180*W^4)+a^7*b*(1/6*(
205128-10101*W+63*W^2)*p6+1/5*(-12490+30*W)*p5*p1+1/8*(-31320+720*W)*p4*p2+10*
p4*p1^2-1504*p3^2+144*p3*p2*p1+72*p2^3)+a^3*b^3*(820840*W-6389575/6*W^2+258803*
W^3-88985/6*W^4+117*W^5)+a^8*b*(297*p8-p7*p1-21*p6*p2)+a^7*b^2*(-3808*p7+21*p6*
p1+175*p5*p2)+a^6*b*(1/4*(2453904-455740*W+18910*W^2-180*W^3)*p4+1/3*(-420331+
35268*W-246*W^2)*p3*p1+1/8*(-624312+67116*W-1536*W^2)*p2^2+1/4*(35968-984*W)*p2
*p1^2-32/3*p1^4)+a^4*b^3*(1/2*(8927688-3315160*W+227605*W^2-1818*W^3)*p2+1/2*(-
1810604+256691*W-1840*W^2)*p1^2)-166320*a*b^8*p1+a^5*b*(1/2*(3536352-2050198*W+
305767*W^2-14377*W^3+208*W^4)*p2+1/2*(-1109640+1018222/3*W-22368*W^2+722/3*W^3)
*p1^2)+a^2*b^6*(-1312080+451644*W-720*W^2)*p1+a^5*b^2*(1/3*(-7432282+1857606*W-
95226*W^2+765*W^3)*p3+1/2*(1448946-161756*W+2034*W^2)*p2*p1+1/6*(-93340+1188*W)
*p1^3)+a^8*(1/7*(-13020+1015/2*W-7/2*W^2)*p7+112*p6*p1+1/10*(2420-60*W)*p5*p2+
160*p4*p3-10*p4*p2*p1-12*p3*p2^2)+a^9*(-10*p9+p7*p2)+a^6*(1/3*(-1061880+858947/
2*W-97609/2*W^2+1891*W^3-24*W^4)*p3+1/2*(328728-239758/3*W+4986*W^2-272/3*W^3)*
p2*p1+1/6*(-44160+4640*W-32*W^2)*p1^3)+a^7*(1/5*(-285810+41765*W-1460*W^2+15*W^
3)*p5+1/4*(43200-2900*W+20*W^2)*p4*p1+1/6*(78086-7056*W+132*W^2)*p3*p2-512*p3*
p1^2+1/8*(-7760+384*W)*p2^2*p1+32/3*p2*p1^3)
[8, 2, 2]
a^8*b*(-1593*p8+225*p7*p1+63/2*p6*p2-21/2*p6*p1^2)+a^3*b^5*(1/2*(-23110224+
4158156*W-2844*W^2)*p2+1/2*(2659668-132168*W+360*W^2)*p1^2)+a^4*b^5*(-1502907*
p4+74340*p3*p1+2646*p2^2-882*p2*p1^2)+a^2*b^7*(-1982340*p2+25920*p1^2)+a^3*b^6*
(2346912*p3-71064*p2*p1+360*p1^3)+a^4*b^4*(1/3*(31222830-3613281*W+2436*W^2)*p3
+1/2*(-3573278+132820*W)*p2*p1+1/6*(229920-4932*W)*p1^3)+a^5*b^4*(576625*p5-
41076*p4*p1-2436*p3*p2+812*p3*p1^2)+a^5*b^3*(1/4*(-19552272+1607130*W-1470*W^2)
*p4+1/3*(2336184-92880*W)*p3*p1+1/8*(2279928-16200*W)*p2^2+1/4*(-172680+2700*W)
*p2*p1^2+390*p1^4)+a^9*(1/2*p7*p1^2-3/2*p7*p2-9*p8*p1+55*p9)+a^6*b^3*(-136920*
p6+12915*p5*p1+2205/2*p4*p2-735/2*p4*p1^2)+a^6*(1/3*(4756950-3867179/2*W+420169
/2*W^2-6499*W^3+24*W^4)*p3+1/2*(-1666836+447090*W-31770*W^2+624*W^3)*p2*p1+1/6*
(362916-73576*W+4160*W^2-64*W^3)*p1^3)+a^6*b^2*(1/5*(6340510-778925/2*W+875/2*W
^2)*p5+1/4*(-821116+32000*W)*p4*p1+1/6*(-773544+4590*W)*p3*p2+1/6*(78444-1530*W
)*p3*p1^2+6885*p2^2*p1-331*p2*p1^3)+a^8*(1/7*(69300-5047/2*W+7/2*W^2)*p7+1/6*(-
11004+336*W)*p6*p1+1/10*(-9390+90*W)*p5*p2+1/10*(1450-30*W)*p5*p1^2-880*p4*p3+
135*p4*p2*p1-5*p4*p1^3+64*p3^2*p1+18*p3*p2^2-6*p3*p2*p1^2)+680400*a*b^8*p1+a^5*
(1247400-24537338/15*W+1705574/3*W^2-209492/3*W^3+9520/3*W^4-224/5*W^5)*p1+a^3*
b^4*(13204440-9095448*W+976140*W^2-10446*W^3)*p1+a^2*b^5*(-2015730*W+2298060*W^
2-282510*W^3+180*W^4)+a*b^7*(-340200*W+340200*W^2)+a^3*b^3*(-3331228*W+8651713/
2*W^2-1051295*W^3+113567/2*W^4-117*W^5)+a^4*b*(-13309879/10*W+3931371/2*W^2-
5718859/8*W^3+166123/2*W^4-116589/40*W^5+13*W^6)+a^6*b*(1/4*(-11430576+2110020*
W-77190*W^2+180*W^3)*p4+1/3*(2527929-294102*W+6606*W^2)*p3*p1+1/8*(2911956-
266148*W+2160*W^2)*p2^2+1/4*(-384582+29376*W-312*W^2)*p2*p1^2+1/24*(45360-2376*
W)*p1^4)+a^5*b*(1/2*(-15059808+8844814*W-1290081*W^2+51077*W^3-234*W^4)*p2+1/2*
(5239332-1859062*W+172774*W^2-4946*W^3+26*W^4)*p1^2)+a^4*b^3*(1/2*(-37783356+
14254002*W-943713*W^2+2052*W^3)*p2+1/2*(8605752-1600281*W+55596*W^2-234*W^3)*p1
^2)+a^5*b^2*(1/3*(32861497-8277702*W+395898*W^2-765*W^3)*p3+1/2*(-7406340+
1012860*W-24156*W^2)*p2*p1+1/6*(974512-94452*W+1590*W^2)*p1^3)+a^7*b^2*(19768*
p7-2331*p6*p1-525/2*p5*p2+175/2*p5*p1^2)+a^2*b^6*(5372640-1899180*W+13320*W^2)*
p1+a^4*b^2*(10320660-62355605/6*W+6882488/3*W^2-825853/6*W^3+5293/3*W^4)*p1+a^7
*(1/5*(1410255-201065*W+5780*W^2-15*W^3)*p5+1/4*(-314868+31860*W-660*W^2)*p4*p1
+1/6*(-379449+28710*W-180*W^2)*p3*p2+1/6*(55795-3990*W+48*W^2)*p3*p1^2+1/8*(
55224-2880*W)*p2^2*p1+1/12*(-7164+288*W)*p2*p1^3+16/3*p1^5)+a^7*b*(1/6*(-
1042272+49077*W-63*W^2)*p6+1/5*(149160-5280*W)*p5*p1+1/8*(133440-1080*W)*p4*p2+
1/8*(-17160+360*W)*p4*p1^2+7920*p3^2-2058*p3*p2*p1+66*p3*p1^3-108*p2^3+36*p2^2*
p1^2)
[7, 4]
a^6*b^3*(24108*p6-30*p5*p1-255*p4*p2-225*p3^2)+a^5*b^4*(-104580*p5+170*p4*p1+
949*p3*p2)+a^4*b^5*(283101*p4-570*p3*p1-822*p2^2)+a^5*(-259200+3990997/12*W-
2683673/24*W^2+78185/6*W^3-12439/24*W^4+49/12*W^5)*p1+a^4*b^2*(-2152440+
12705787/6*W-5394451/12*W^2+72655/3*W^3-1583/12*W^4)*p1+a^6*b^2*(1/5*(-1126815+
74190*W-75*W^2)*p5+1/4*(80420-720*W)*p4*p1+1/6*(137013-1950*W)*p3*p2-241/2*p3*
p1^2-216*p2^2*p1)+a^5*b^3*(1/4*(3645216-308320*W+340*W^2)*p4+1/3*(-292371+2400*
W)*p3*p1+1/8*(-411660+4200*W)*p2^2+903/2*p2*p1^2)+a^4*b*(5649839/20*W-3327647/8
*W^2+1805881/12*W^3-211945/12*W^4+19139/30*W^5-49/24*W^6)+a^2*b^7*(403152*p2-
240*p1^2)+a^3*b^6*(-460058*p3+908*p2*p1)+a^4*b^4*(1/3*(-6094053+706554*W-855*W^
2)*p3+1/2*(553548-3296*W)*p2*p1-209*p1^3)+a*b^7*(71280*W-71280*W^2)+a^2*b^5*(
423848*W-483060*W^2+59272*W^3-60*W^4)+a^3*b^3*(1406993/2*W-10948627/12*W^2+
1326779/6*W^3-147293/12*W^4+101/3*W^5)+a^8*b*(279*p8-3*p6*p2-15*p5*p3)+a^3*b^5*
(1/2*(4694250-833048*W+908*W^2)*p2+1/2*(-455986+1480*W)*p1^2)+a^7*b^2*(-3432*p7
+2*p6*p1+45*p5*p2+85*p4*p3)+a^5*b*(1/2*(3032640-3500987/2*W+1022111/4*W^2-20767
/2*W^3+133/4*W^4)*p2+1/2*(-961272+300471*W-21081*W^2+270*W^3)*p1^2)+a^4*b^3*(1/
2*(7653117-2841819*W+191622*W^2-552*W^3)*p2+1/2*(-1556041+223260*W-1451*W^2)*p1
^2)-142560*a*b^8*p1+a^6*b*(1/4*(2100618-393790*W+15480*W^2-20*W^3)*p4+1/3*(-
370263+71019/2*W-1011/2*W^2)*p3*p1+1/8*(-501876+46308*W-288*W^2)*p2^2+1/4*(
29004-720*W)*p2*p1^2)+a^2*b^6*(-1124640+387312*W-240*W^2)*p1+a^5*b^2*(1/3*(-
6370269+1597381*W-80367*W^2+251*W^3)*p3+1/2*(1242713-138921*W+1243*W^2)*p2*p1+1
/6*(-81609+1422*W)*p1^3)+a^3*b^4*(-2760120+5564165/3*W-186199*W^2+1312/3*W^3)*
p1+a^7*b*(1/6*(177030-9456*W+6*W^2)*p6+1/5*(-11535+150*W)*p5*p1+1/8*(-21060+120
*W)*p4*p2+1/18*(-29898+900*W)*p3^2+93*p3*p2*p1+27/2*p2^3)+a^9*(-10*p9+p6*p3)+a^
8*(1/7*(-11340+504*W)*p7+1/6*(690-12*W)*p6*p1+126*p5*p2+1/12*(2310-60*W)*p4*p3-
8*p3^2*p1-9/2*p3*p2^2)+a^7*(1/5*(-243810+36435*W-1155*W^2)*p5+1/4*(39270-3280*W
+40*W^2)*p4*p1+1/6*(61572-5259*W+63*W^2)*p3*p2+1/6*(-3600+180*W)*p3*p1^2+1/8*(-
4140+72*W)*p2^2*p1)+a^6*(1/3*(-911160+1465571/4*W-325175/8*W^2+5425/4*W^3-49/8*
W^4)*p3+1/2*(284760-69323*W+4073*W^2-42*W^3)*p2*p1+1/6*(-42624+5820*W-168*W^2)*
p1^3)
[7, 3, 2]
a^4*b^5*(-2331084*p4+65858*p3*p1+10824*p2^2-394*p2*p1^2)+a^7*b*(1/6*(-1670172+
90504*W-456*W^2)*p6+1/5*(179210-10995/2*W+75/2*W^2)*p5*p1+1/8*(251840-4800*W)*
p4*p2+1/8*(-11580+40*W)*p4*p1^2+1/18*(263304-3600*W)*p3^2+1/6*(-18810+300*W)*p3
*p2*p1+8*p3*p1^3-486*p2^3+147/2*p2^2*p1^2)+a^3*b^4*(20129520-13941284*W+1504818
*W^2-13612*W^3+30*W^4)*p1+a^6*b^2*(1/5*(9910190-673100*W+2900*W^2)*p5+1/4*(-
1034836+31570*W-170*W^2)*p4*p1+1/6*(-1346280+23820*W)*p3*p2+1/6*(61614-300*W)*
p3*p1^2+1/8*(81508-1400*W)*p2^2*p1-347/2*p2*p1^3)+a^5*b^3*(1/4*(-30125304+
2649360*W-9040*W^2)*p4+1/3*(3128856-181995/2*W+675/2*W^2)*p3*p1+1/8*(3760576-
67200*W)*p2^2+1/4*(-158862+1700*W)*p2*p1^2+209/2*p1^4)+a^4*b^4*(1/3*(47762106-
5763648*W+14808*W^2)*p3+1/2*(-5096986+137786*W-394*W^2)*p2*p1+1/6*(193350-1500*
W)*p1^3)+a^3*b^3*(-15235784/3*W+6632396*W^2-4949684/3*W^3+96724*W^4-1892/3*W^5)
+a^3*b^5*(1/2*(-35250304+6488832*W-14048*W^2)*p2+1/2*(3844992-118896*W+240*W^2)
*p1^2)+a^5*(1900800-25067807/10*W+21285205/24*W^2-5460329/48*W^3+92343/16*W^4-
28427/240*W^5+49/48*W^6)*p1+a^4*b*(-60952639/30*W+36288151/12*W^2-3378020/3*W^3
+558395/4*W^4-59187/10*W^5+206/3*W^6)+a^2*b^6*(8188800-2911680*W+13440*W^2)*p1+
a^5*b*(1/2*(-22907568+41174374/3*W-2124119*W^2+301430/3*W^3-1197*W^4)*p2+1/2*(
7736880-16076941/6*W+2831177/12*W^2-38843/6*W^3+775/12*W^4)*p1^2)+a^4*b^2*(
15733680-95569369/6*W+42866833/12*W^2-221211*W^3+38543/12*W^4-101/6*W^5)*p1+a^7
*b^2*(33836*p7-2112*p6*p1-1220*p5*p2+15*p5*p1^2-340*p4*p3+85*p4*p2*p1)+a^8*b*(-
2916*p8+212*p7*p1+156*p6*p2-p6*p1^2+60*p5*p3-15*p5*p2*p1)+a*b^7*(-518400*W+
518400*W^2)+a^2*b^5*(-3071520*W+3512640*W^2-442080*W^3+960*W^4)+a^5*b^4*(911750
*p5-36111*p4*p1-11388*p3*p2+225*p3*p1^2+274*p2^2*p1)+a^6*b^3*(-223440*p6+11450*
p5*p1+4860*p4*p2-85*p4*p1^2+900*p3^2-225*p3*p2*p1)+a^3*b^6*(3601824*p3-66168*p2
*p1+120*p1^3)+a^2*b^7*(-3026880*p2+23040*p1^2)+1036800*a*b^8*p1+a^4*b^3*(1/2*(-
57569746+22182546*W-1583614*W^2+10492*W^3)*p2+1/2*(12681990-6571340/3*W+56704*W
^2-952/3*W^3)*p1^2)+a^5*b^2*(1/3*(50091176-13113025*W+705738*W^2-5009*W^3)*p3+1
/2*(-10851020+8705485/6*W-68077/2*W^2+727/3*W^3)*p2*p1+1/6*(1108088-154557/2*W+
1353/2*W^2)*p1^3)+a^6*b*(1/4*(-17477892+3432740*W-149260*W^2+1160*W^3)*p4+1/3*(
3568214-807633/2*W+19143/2*W^2-75*W^3)*p3*p1+1/8*(4605560-498048*W+9456*W^2)*p2
^2+1/4*(-446896+29902*W-422*W^2)*p2*p1^2+1/24*(26384-336*W)*p1^4)+a^9*(-9*p8*p1
-4*p6*p3-8*p7*p2+110*p9+p6*p2*p1)+a^6*(1/3*(7213800-3038842*W+723433/2*W^2-
14406*W^3+343/2*W^4)*p3+1/2*(-2442504+1327167/2*W-599585/12*W^2+2649/2*W^3-175/
12*W^4)*p2*p1+1/6*(447816-78730*W+3604*W^2-42*W^3)*p1^3)+a^8*(1/7*(115500-5068*
W+28*W^2)*p7+1/6*(-12816+375*W-3*W^2)*p6*p1+1/10*(-20020+420*W)*p5*p2+84*p5*p1^
2+1/12*(-21000+240*W)*p4*p3+1/8*(1820-40*W)*p4*p2*p1+88*p3^2*p1+102*p3*p2^2-8*
p3*p2*p1^2-9/2*p2^3*p1)+a^7*(1/5*(2173710-339955*W+12460*W^2-105*W^3)*p5+1/4*(-
426048+42335*W-1005*W^2+10*W^3)*p4*p1+1/6*(-617596+58752*W-1092*W^2)*p3*p2+1/6*
(57384-3336*W+24*W^2)*p3*p1^2+1/8*(79808-5566*W+102*W^2)*p2^2*p1+1/12*(-5176+
168*W)*p2*p1^3)
[7, 2, 2, 2]
a^4*b^2*(-23528520+48649471/2*W-22589203/4*W^2+2243401/6*W^3-25519/4*W^4+101/6*
W^5)*p1+a^5*b^4*(-1568000*p5+137595*p4*p1+87983/6*p3*p2-8717/2*p3*p1^2-411*p2^2
*p1+137/3*p2*p1^3)+a^6*b^3*(401310*p6-46770*p5*p1-13305/2*p4*p2+4265/2*p4*p1^2-
750*p3^2+675/2*p3*p2*p1-75/2*p3*p1^3)+a^5*(-2851200+45986855/12*W-5577105/4*W^2
+2962971/16*W^3-467555/48*W^4+9331/48*W^5-49/48*W^6)*p1+a^2*b^7*(4632420*p2-
74880*p1^2)+a^8*b*(5661*p8-996*p7*p1-453/2*p6*p2+149/2*p6*p1^2-50*p5*p3+45/2*p5
*p2*p1-5/2*p5*p1^3)+a^7*b^2*(-63332*p7+9264*p6*p1+3435/2*p5*p2-1115/2*p5*p1^2+
850/3*p4*p3-255/2*p4*p2*p1+85/6*p4*p1^3)+a^4*b*(179449853/60*W-107215885/24*W^2
+20088239/12*W^3-1233509/6*W^4+40646/5*W^5-533/8*W^6)+a^2*b^5*(4559890*W-
5221980*W^2+662990*W^3-900*W^4)+a*b^7*(772200*W-772200*W^2)+a^3*b^3*(22530236/3
*W-29500516/3*W^2+7394233/3*W^3-425744/3*W^4+597*W^5)+a^5*b^3*(1/4*(49885884-
4417240*W+8700*W^2)*p4+1/3*(-6661797+634235/2*W-675/2*W^2)*p3*p1+1/8*(-6376146+
90300*W)*p2^2+1/4*(612014-15850*W)*p2*p1^2+1/24*(-52350+1000*W)*p1^4)+a^4*b^4*(
1/3*(-75794271+9293778*W-14013*W^2)*p3+1/2*(9436884-431016*W+454*W^2)*p2*p1+1/6
*(-741750+24834*W-60*W^2)*p1^3)+a^3*b^5*(1/2*(53971696-10141688*W+14760*W^2)*p2
+1/2*(-6620248+397188*W-1860*W^2)*p1^2)+a^3*b^6*(-5704528*p3+215076*p2*p1-1740*
p1^3)+a^4*b^5*(3841089*p4-234154*p3*p1-14181*p2^2+4633*p2*p1^2-20*p1^4)+a^6*b^2
*(1/5*(-17207555+1160450*W-2825*W^2)*p5+1/4*(2554780-117930*W+170*W^2)*p4*p1+1/
6*(2360097-30680*W)*p3*p2+1/6*(-304529+8760*W)*p3*p1^2+1/8*(-226530+2100*W)*p2^
2*p1+1/12*(26340-350*W)*p2*p1^3-209/12*p1^5)-1544400*a*b^8*p1+a^5*b^2*(1/3*(-
79861295+63736099/3*W-1117023*W^2+14375/3*W^3)*p3+1/2*(19225489-2931001*W+89037
*W^2-276*W^3)*p2*p1+1/6*(-2886521+1015720/3*W-8847*W^2+101/3*W^3)*p1^3)+a^4*b^3
*(1/2*(88324537-34710192*W+2470110*W^2-11033*W^3)*p2+1/2*(-21170785+12946475/3*
W-181787*W^2+4231/3*W^3)*p1^2)+a^6*b*(1/4*(29215362-5784350*W+239340*W^2-1140*W
^3)*p4+1/3*(-7044309+1855867/2*W-52909/2*W^2+75*W^3)*p3*p1+1/8*(-7993812+841002
*W-12582*W^2)*p2^2+1/4*(1240948-118586*W+2250*W^2)*p2*p1^2+1/24*(-186432+15194*
W-242*W^2)*p1^4)+a^7*b*(1/6*(3048990-161016*W+450*W^2)*p6+1/5*(-511725+43035/2*
W-75/2*W^2)*p5*p1+1/8*(-455970+6900*W)*p4*p2+1/8*(74930-2260*W)*p4*p1^2+1/18*(-
473436+3000*W)*p3^2+1/6*(56181-450*W)*p3*p2*p1+1/18*(-8559+150*W)*p3*p1^3+2781/
4*p2^3-1323/4*p2^2*p1^2+23/2*p2*p1^4)+a^2*b^6*(-12208320+4449900*W-39240*W^2)*
p1+a^5*b*(1/2*(35317440-86160097/4*W+26777729/8*W^2-601467/4*W^3+10327/8*W^4)*
p2+1/2*(-12836664+19587729/4*W-12345535/24*W^2+74163/4*W^3-4601/24*W^4)*p1^2)+a
^3*b^4*(-30046680+21293112*W-2424140*W^2+33314*W^3-30*W^4)*p1+a^7*(1/5*(-
3839220+597520*W-20125*W^2+105*W^3)*p5+1/4*(954870-111015*W+2925*W^2-10*W^3)*p4
*p1+1/6*(1127952-101194*W+1344*W^2)*p3*p2+1/6*(-198632+17716*W-318*W^2)*p3*p1^2
+1/8*(-198252+14208*W-144*W^2)*p2^2*p1+1/12*(33888-2257*W+21*W^2)*p2*p1^3+1/120
*(-5360+280*W)*p1^5)+a^8*(1/7*(-221760+9268*W-28*W^2)*p7+1/6*(42114-1539*W+3*W^
2)*p6*p1+1/10*(36960-630*W)*p5*p2+1/10*(-7280+210*W)*p5*p1^2+1/12*(39060-200*W)
*p4*p3+1/8*(-5670+60*W)*p4*p2*p1+1/24*(1050-20*W)*p4*p1^3-920/3*p3^2*p1-141*p3*
p2^2+54*p3*p2*p1^2-4/3*p3*p1^4+27/4*p2^3*p1-3/4*p2^2*p1^3)+a^9*(-220*p9+45*p8*
p1-3/2*p6*p2*p1+10/3*p6*p3+1/6*p6*p1^3-4*p7*p1^2+12*p7*p2)+a^6*(1/3*(-11618640+
29804855/6*W-7029091/12*W^2+127855/6*W^3-2009/12*W^4)*p3+1/2*(4302576-5034427/4
*W+829619/8*W^2-11185/4*W^3+133/8*W^4)*p2*p1+1/6*(-1037016+2894611/12*W-409151/
24*W^2+4949/12*W^3-49/24*W^4)*p1^3)
[6, 5]
a^8*b*(270*p8-6*p5*p3-10*p4^2)+a^4*b^2*(-2009040+5930419/3*W-1258969/3*W^2+
67862/3*W^3-308/3*W^4)*p1+a^4*b^4*(1/3*(-5688060+661473*W-531*W^2)*p3+1/2*(
516092-2300*W)*p2*p1-138*p1^3)+a^3*b^5*(1/2*(4381404-778204*W+564*W^2)*p2+1/2*(
-425284+960*W)*p1^2)+a^6*b^2*(1/5*(-1051100+70485*W-15*W^2)*p5+1/4*(76360-536*W
)*p4*p1+1/6*(125034-1758*W)*p3*p2-160*p3*p1^2-66*p2^2*p1)+a^5*b^3*(1/4*(3402120
-290048*W+168*W^2)*p4+1/3*(-273612+1809*W)*p3*p1+1/8*(-380528+3312*W)*p2^2+301*
p2*p1^2)+a^2*b^6*(-1049664+361536*W-144*W^2)*p1+a^7*b*(1/6*(164808-9156*W)*p6+1
/5*(-11090+45*W)*p5*p1+1/8*(-20512+432*W)*p4*p2+35*p4*p1^2+1/18*(-23580+432*W)*
p3^2+36*p3*p2*p1)+a^6*b*(1/4*(1961440-1102216/3*W+15040*W^2-164/3*W^3)*p4+1/3*(
-343590+31143*W-216*W^2)*p3*p1+1/8*(-475760+46008*W-576*W^2)*p2^2+1/4*(28544-
588*W)*p2*p1^2-30*p1^4)+a^3*b^4*(-2576112+1731128*W-173868*W^2+292*W^3)*p1+a^4*
b^3*(1/2*(7142944-7957060/3*W+179248*W^2-1250/3*W^3)*p2+1/2*(-1451884+208084*W-
1002*W^2)*p1^2)-133056*a*b^8*p1+a^2*b^5*(395584*W-450876*W^2+55328*W^3-36*W^4)+
a*b^7*(66528*W-66528*W^2)+a^4*b*(791087/3*W-3496711/9*W^2+563611/4*W^3-150409/9
*W^4+7699/12*W^5-40/9*W^6)+a^5*b*(1/2*(2830136-4906772/3*W+240398*W^2-30910/3*W
^3+72*W^4)*p2+1/2*(-894520+832487/3*W-18770*W^2+463/3*W^3)*p1^2)+a^3*b^3*(
656603*W-5109289/6*W^2+206387*W^3-68807/6*W^4+26*W^5)+a^5*b^2*(1/3*(-5946110+
2981273/2*W-75678*W^2+439/2*W^3)*p3+1/2*(1159880-128880*W+864*W^2)*p2*p1+1/6*(-
78116+1338*W)*p1^3)+a^9*(p5*p4-10*p9)+a^8*(1/7*(-10500+504*W)*p7+112*p6*p1+1/10
*(1360-30*W)*p5*p2-2*p5*p1^2+1/12*(1740-48*W)*p4*p3-6*p4*p2*p1)+a^7*(1/5*(-
227850+203585/6*W-1175*W^2+25/6*W^3)*p5+1/4*(36320-2792*W+24*W^2)*p4*p1+1/6*(
58560-5010*W+72*W^2)*p3*p2+1/6*(-3180+48*W)*p3*p1^2+1/8*(-4800+144*W)*p2^2*p1+
12*p2*p1^3)+a^6*(1/3*(-850200+684853/2*W-38363*W^2+2741/2*W^3-10*W^4)*p3+1/2*(
265024-64338*W+3816*W^2-46*W^3)*p2*p1+1/6*(-38640+4776*W-72*W^2)*p1^3)+a^4*b^5*
(264570*p4-354*p3*p1-550*p2^2)+a^2*b^7*(376320*p2-144*p1^2)+a^3*b^6*(-429580*p3
+564*p2*p1)+a^5*b^4*(-97934*p5+84*p4*p1+685*p3*p2)+a^7*b^2*(-3260*p7+11*p5*p2+
95*p4*p3)+a^5*(-241920+931556/3*W-313663/3*W^2+36793/3*W^3-1517/3*W^4+5*W^5)*p1
+a^6*b^3*(22680*p6-6*p5*p1-160*p4*p2-210*p3^2)
[6, 4, 2]
a^4*b^2*(13765740-27860675/2*W+37437709/12*W^2-1137121/6*W^3+24791/12*W^4-16/3*
W^5)*p1+a^3*b^4*(17612700-36593536/3*W+1314666*W^2-27878/3*W^3+12*W^4)*p1+a^2*b
^6*(7165200-2548752*W+9792*W^2)*p1+a^2*b^7*(-2649552*p2+18192*p1^2)+a^4*b^4*(1/
3*(41806668-5087169*W+5679*W^2)*p3+1/2*(-4435774+109088*W-172*W^2)*p2*p1+1/6*(
153750-816*W)*p1^3)+a^3*b^5*(1/2*(-30847960+5693844*W-5564*W^2)*p2+1/2*(3355312
-96248*W+96*W^2)*p1^2)+a^3*b^6*(3156008*p3-51196*p2*p1+48*p1^3)+a^7*b*(1/6*(-
1465590+85302*W-42*W^2)*p6+1/5*(163160-5585*W+5*W^2)*p5*p1+1/8*(191840-2640*W)*
p4*p2+1/8*(-11480+160*W)*p4*p1^2+1/18*(246438-6408*W)*p3^2+1/6*(-12822+216*W)*
p3*p2*p1+15*p3*p1^3-81*p2^3+18*p2^2*p1^2)+a^5*b^3*(1/4*(-26379116+2364180*W-
2380*W^2)*p4+1/3*(2754084-83985*W+141*W^2)*p3*p1+1/8*(3147520-31344*W)*p2^2+1/4
*(-119812+1120*W)*p2*p1^2+30*p1^4)+a^6*b^2*(1/5*(8683990-612945*W+495*W^2)*p5+1
/4*(-921696+30520*W-40*W^2)*p4*p1+1/6*(-1116438+16404*W)*p3*p2+1/6*(55842-732*W
)*p3*p1^2+1/8*(45288-576*W)*p2^2*p1-57*p2*p1^3)+a^5*b^2*(1/3*(43830649-11495652
*W+612252*W^2-1974*W^3)*p3+1/2*(-9500998+1269654*W-25658*W^2+80*W^3)*p2*p1+1/6*
(987700-71802*W+690*W^2)*p1^3)+a^4*b^5*(-2047476*p4+52884*p3*p1+5354*p2^2-172*
p2*p1^2)+a^5*b^4*(805090*p5-29011*p4*p1-6813*p3*p2+94*p3*p1^2+150*p2^2*p1)+a^6*
b*(1/4*(-15283368+9054380/3*W-128400*W^2+1000/3*W^3)*p4+1/3*(3165435-373541*W+
8769*W^2-28*W^3)*p3*p1+1/8*(3895984-390144*W+3816*W^2)*p2^2+1/4*(-388912+25616*
W-288*W^2)*p2*p1^2+1/24*(26424-720*W)*p1^4)+a^4*b^3*(1/2*(-50376852+58231202/3*
W-1370760*W^2+11536/3*W^3)*p2+1/2*(11113680-5791874/3*W+47444*W^2-472/3*W^3)*p1
^2)+a^5*b*(1/2*(-20049270+35945614/3*W-1832798*W^2+240674/3*W^3-418*W^4)*p2+1/2
*(6807738-7137454/3*W+636338/3*W^2-16340/3*W^3+100/3*W^4)*p1^2)+a^6*b^3*(-
199458*p6+9348*p5*p1+1955*p4*p2-20*p4*p1^2+1890*p3^2-155*p3*p2*p1)+a^5*(1663200
-32869658/15*W+2317007/3*W^2-292628/3*W^3+13741/3*W^4-314/5*W^5)*p1+a^4*b*(-
26658973/15*W+23775146/9*W^2-11747843/12*W^3+1072205/9*W^4-275293/60*W^5+209/9*
W^6)+a^3*b^3*(-13330412/3*W+5801522*W^2-4321526/3*W^3+82678*W^4-662/3*W^5)+a^2*
b^5*(-2687408*W+3074052*W^2-386992*W^3+348*W^4)+a*b^7*(-453600*W+453600*W^2)+a^
7*b^2*(30832*p7-1792*p6*p1-307*p5*p2+2*p5*p1^2-860*p4*p3+30*p4*p2*p1+35*p3^2*p1
)+a^8*b*(-2754*p8+192*p7*p1+21*p6*p2+114*p5*p3-3*p5*p2*p1+50*p4^2-10*p4*p3*p1)+
907200*a*b^8*p1+a^8*(1/7*(101640-5040*W)*p7+1/6*(-12138+420*W)*p6*p1+1/10*(-
12950+120*W)*p5*p2+1/10*(950-20*W)*p5*p1^2+1/12*(-20700+600*W)*p4*p3+120*p4*p2*
p1+1/18*(2178-72*W)*p3^2*p1+27*p3*p2^2-6*p3*p2*p1^2)+a^7*(1/5*(1896510-901040/3
*W+10560*W^2-40/3*W^3)*p5+1/4*(-384828+41240*W-960*W^2)*p4*p1+1/6*(-513684+
46632*W-612*W^2)*p3*p2+1/6*(56628-4392*W+84*W^2)*p3*p1^2+1/8*(56904-2736*W)*p2^
2*p1+1/12*(-4248+144*W)*p2*p1^3)+a^6*(1/3*(6316860-2650390*W+310369*W^2-11198*W
^3+59*W^4)*p3+1/2*(-2151942+584444*W-42348*W^2+824*W^3)*p2*p1+1/6*(416622-79632
*W+4308*W^2-72*W^3)*p1^3)+a^9*(-9*p8*p1+p5*p3*p1-5*p5*p4-7*p6*p3+110*p9)
[6, 3, 3]
a^4*b*(-15834261/20*W+4754793/4*W^2-21818117/48*W^3+970717/16*W^4-763723/240*W^
5+1151/16*W^6-2/3*W^7)+a^6*b*(1/4*(-6823902+4257125/3*W-73230*W^2+3400/3*W^3-5*
W^4)*p4+1/3*(1262112-253407/2*W+3387/2*W^2-6*W^3)*p3*p1+1/8*(1905060-756386/3*W
+9334*W^2-352/3*W^3)*p2^2+1/4*(-126820+5754*W-66*W^2)*p2*p1^2+93*p1^4)+a^4*b^3*
(1/2*(-22385623+17616463/2*W-678249*W^2+8056*W^3-49/2*W^4)*p2+1/2*(4756645-
4486681/6*W+18475/2*W^2-148/3*W^3)*p1^2)+a^5*b^2*(1/3*(19488042-21166291/4*W+
2545131/8*W^2-16031/4*W^3+105/8*W^4)*p3+1/2*(-4049538+1570243/3*W-10661*W^2+236
/3*W^3)*p2*p1+1/6*(292884-7563*W+63*W^2)*p1^3)+a^5*b*(1/2*(-8890812+32658271/6*
W-3595781/4*W^2+103795/2*W^3-4835/4*W^4+34/3*W^5)*p2+1/2*(2897956-1930475/2*W+
301569/4*W^2-2809/2*W^3+39/4*W^4)*p1^2)+a^3*b^3*(-11856293/6*W+10382047/4*W^2-
3966359/6*W^3+168347/4*W^4-1474/3*W^5+3/2*W^6)+a^2*b^6*(3185280-1139112*W+2712*
W^2)*p1+a^4*b^2*(6121840-24927973/4*W+34077443/24*W^2-1090807/12*W^3+34477/24*W
^4-49/6*W^5)*p1+a^3*b^4*(7831600-16361098/3*W+592415*W^2-13214/3*W^3+9*W^4)*p1+
a*b^7*(-201600*W+201600*W^2)+a^2*b^5*(-1194468*W+1370202*W^2-176412*W^3+678*W^4
)+a^5*(739200-980698*W+707053/2*W^2-189763/4*W^3+10723/4*W^4-277/4*W^5+3/4*W^6)
*p1+a^4*b^4*(1/3*(18644463-4680123/2*W+21183/2*W^2)*p3+1/2*(-1849327+27008*W-98
*W^2)*p2*p1+1/6*(20001-132*W)*p1^3)+a^3*b^5*(1/2*(-13721462+2581878*W-9838*W^2)
*p2+1/2*(1414474-13688*W+36*W^2)*p1^2)+a^5*b^3*(1/4*(-11841224+1108690*W-6890*W
^2)*p4+1/3*(1042521-20541/2*W+105/2*W^2)*p3*p1+1/8*(1601876-50256*W+248*W^2)*p2
^2+1/4*(-26368+224*W)*p2*p1^2+15/2*p1^4)+a^6*b^2*(1/5*(3946695-588115/2*W+4615/
2*W^2)*p5+1/4*(-314470+3040*W-20*W^2)*p4*p1+1/6*(-594927+17745*W-105*W^2)*p3*p2
+1/6*(5679-12*W)*p3*p1^2+1/8*(28124-368*W)*p2^2*p1-18*p2*p1^3)+a^2*b^7*(-
1179432*p2+2712*p1^2)+a^7*b*(1/6*(-679518+41979*W-399*W^2)*p6+1/5*(48620-565/2*
W+5/2*W^2)*p5*p1+1/8*(126380-5040*W+40*W^2)*p4*p2-255/2*p4*p1^2+1/18*(103518-
792*W)*p3^2+1/6*(-4962+24*W)*p3*p2*p1+1/48*(-19752+576*W)*p2^3+27/2*p2^2*p1^2)+
a^6*b^3*(-92568*p6+923*p5*p1+3595*p4*p2-5*p4*p1^2+385*p3^2-35*p3*p2*p1-25*p2^3)
+a^5*b^4*(367065*p5-3445*p4*p1-15289/2*p3*p2+35/2*p3*p1^2+62*p2^2*p1)+a^4*b^5*(
-921939*p4+7061*p3*p1+7347*p2^2-49*p2*p1^2)+a^3*b^6*(1410326*p3-9838*p2*p1+12*
p1^3)+a^7*b^2*(14634*p7-133*p6*p1-1863/2*p5*p2+1/2*p5*p1^2-395/2*p4*p3+10*p4*p2
*p1+35/2*p3*p2^2)+a^8*b*(-1341*p8+8*p7*p1+133*p6*p2+11*p5*p3-p5*p2*p1+25*p4^2-5
*p4*p2^2)+403200*a*b^8*p1+a^6*(1/3*(2791140-4878447/4*W+1271613/8*W^2-31971/4*W
^3+1395/8*W^4-3/2*W^5)*p3+1/2*(-909176+249095*W-39225/2*W^2+605*W^3-15/2*W^4)*
p2*p1+1/6*(130536-16380*W+252*W^2)*p1^3)+a^7*(1/5*(855855-580945/4*W+53995/8*W^
2-455/4*W^3+5/8*W^4)*p5+1/4*(-141760+12020*W-180*W^2)*p4*p1+1/6*(-261558+30411*
W-1023*W^2+12*W^3)*p3*p2+1/6*(11682-72*W)*p3*p1^2+1/8*(31696-2480*W+48*W^2)*p2^
2*p1-66*p2*p1^3)+a^8*(1/7*(48510-2548*W+28*W^2)*p7-504*p6*p1+1/10*(-11490+485*W
-5*W^2)*p5*p2+3*p5*p1^2+1/12*(-8670+120*W)*p4*p3+75*p4*p2*p1+1/24*(2028-48*W)*
p3*p2^2-3*p2^3*p1)+a^9*(-8*p7*p2+55*p9-5/2*p5*p4+1/2*p5*p2^2)
[6, 3, 2, 2]
a^4*b^2*(-54917640+342139303/6*W-160896403/12*W^2+2723779/3*W^3-194759/12*W^4+
100*W^5)*p1-3603600*a*b^8*p1+a^3*b^4*(-70130760+149760190/3*W-5711270*W^2+
205916/3*W^3-168*W^4)*p1+a^2*b^5*(10639010*W-12215940*W^2+1580470*W^3-3540*W^4)
+a^8*b*(15561*p8-1844*p7*p1-1673/2*p6*p2+147/2*p6*p1^2-418*p5*p3+203/2*p5*p2*p1
-1/2*p5*p1^3-150*p4^2+40*p4*p3*p1+15*p4*p2^2-5*p4*p2*p1^2)+a^4*b*(419290033/60*
W-252056281/24*W^2+48092083/12*W^3-6196873/12*W^4+348268/15*W^5-2471/8*W^6+4/3*
W^7)+a^3*b^3*(17529390*W-69175327/3*W^2+17658281/3*W^3-1078484/3*W^4+7369/3*W^5
-3*W^6)+a^7*b^2*(-163476*p7+16282*p6*p1+12021/2*p5*p2-1107/2*p5*p1^2+2885*p4*p3
-560*p4*p2*p1+5*p4*p1^3-140*p3^2*p1-105/2*p3*p2^2+35/2*p3*p2*p1^2)+a*b^7*(
1801800*W-1801800*W^2)+a^6*b^3*(992670*p6-79670*p5*p1-46565/2*p4*p2+4315/2*p4*
p1^2-6230*p3^2+3305/2*p3*p2*p1-35/2*p3*p1^3+75*p2^3-25*p2^2*p1^2)+a^2*b^6*(-
28491120+10435380*W-69600*W^2)*p1+a^5*b^4*(-3774600*p5+231040*p4*p1+106683/2*p3
*p2-9229/2*p3*p1^2-1779*p2^2*p1+37*p2*p1^3)+a^5*b*(1/2*(82295864-611754067/12*W
+66259761/8*W^2-5040649/12*W^3+46071/8*W^4-76/3*W^5)*p2+1/2*(-29265232+
132103303/12*W-8997185/8*W^2+159615/4*W^3-4343/8*W^4+8/3*W^5)*p1^2)+a^4*b^3*(1/
2*(206087629-247100564/3*W+6198461*W^2-130711/3*W^3+55*W^4)*p2+1/2*(-48171017+
28076645/3*W-334999*W^2+8293/3*W^3-6*W^4)*p1^2)+a^8*(1/7*(-554400+27874*W-154*W
^2)*p7+1/6*(84504-3297*W+21*W^2)*p6*p1+1/10*(102810-5245/2*W+25/2*W^2)*p5*p2+1/
10*(-10340+545/2*W-5/2*W^2)*p5*p1^2+1/12*(112980-2160*W)*p4*p3+1/8*(-13040+240*
W)*p4*p2*p1+30*p4*p1^3+1/18*(-13896+288*W)*p3^2*p1+1/24*(-13860+144*W)*p3*p2^2+
1/12*(1446-24*W)*p3*p2*p1^2+36*p2^3*p1-3*p2^2*p1^3)+a^7*(1/5*(-9022860+1516185*
W-245765/4*W^2+1115/2*W^3-5/4*W^4)*p5+1/4*(2056760-244460*W+7400*W^2-60*W^3)*p4
*p1+1/6*(2721534-569067/2*W+12747/2*W^2-30*W^3)*p3*p2+1/6*(-363708+63903/2*W-
1527/2*W^2+6*W^3)*p3*p1^2+1/8*(-424712+34512*W-672*W^2)*p2^2*p1+1/12*(48300-
3054*W+54*W^2)*p2*p1^3-24*p1^5)+a^6*(1/3*(-27007200+11871765*W-5995899/4*W^2+
129315/2*W^3-3483/4*W^4+3*W^5)*p3+1/2*(9752536-2888153*W+248101*W^2-7802*W^3+90
*W^4)*p2*p1+1/6*(-2106384+459801*W-30906*W^2+822*W^3-9*W^4)*p1^3)+a^9*(-660*p9-
7*p6*p2*p1-4*p5*p3*p1+1/2*p5*p2*p1^2+48*p7*p2+90*p8*p1+28*p6*p3-4*p7*p1^2+15*p5
*p4-3/2*p5*p2^2)+a^5*(-6652800+8982896*W-3313885*W^2+454424*W^3-25643*W^4+614*W
^5-6*W^6)*p1+a^4*b^4*(1/3*(-177418899+22540872*W-60177*W^2)*p3+1/2*(20952008-
790864*W+2334*W^2)*p2*p1+1/6*(-1197570+27294*W-72*W^2)*p1^3)+a^3*b^5*(1/2*(
126042360-24136472*W+55120*W^2)*p2+1/2*(-14840768+672644*W-2532*W^2)*p1^2)+a^5*
b^3*(1/4*(117423084-11026320*W+38060*W^2)*p4+1/3*(-14221023+1168905/2*W-4173/2*
W^2)*p3*p1+1/8*(-15551666+310320*W-644*W^2)*p2^2+1/4*(1026942-22464*W+74*W^2)*
p2*p1^2+1/24*(-52062+528*W)*p1^4)+a^6*b^2*(1/5*(-40946295+3022550*W-12875*W^2)*
p5+1/4*(5269440-223470*W+1030*W^2)*p4*p1+1/6*(5957091-250173/2*W+525/2*W^2)*p3*
p2+1/6*(-483981+22545/2*W-105/2*W^2)*p3*p1^2+1/8*(-474588+9216*W)*p2^2*p1+1/12*
(31236-408*W)*p2*p1^3-15/2*p1^5)+a^7*b*(1/6*(7393806-445620*W+2226*W^2)*p6+1/5*
(-1032155+85425/2*W-485/2*W^2)*p5*p1+1/8*(-1202530+29160*W-100*W^2)*p4*p2+1/8*(
112490-2760*W+20*W^2)*p4*p1^2+1/18*(-1269756+22896*W)*p3^2+1/6*(123975-2412*W)*
p3*p2*p1+1/18*(-8145+36*W)*p3*p1^3+1/48*(117900-1728*W)*p2^3+1/16*(-11324+192*W
)*p2^2*p1^2+21/2*p2*p1^4)+a^2*b^7*(10828500*p2-125040*p1^2)+a^3*b^6*(-13392384*
p3+367480*p2*p1-1884*p1^3)+a^4*b^5*(9097989*p4-392918*p3*p1-46831*p2^2+5485*p2*
p1^2-12*p1^4)+a^5*b^2*(1/3*(-186395247+51149574*W-11768601/4*W^2+44727/2*W^3-
105/4*W^4)*p3+1/2*(43550866-13124155/2*W+393503/2*W^2-1492*W^3)*p2*p1+1/6*(-
5548146+1110727/2*W-24411/2*W^2+82*W^3)*p1^3)+a^6*b*(1/4*(68325322-14229190*W+
672470*W^2-5780*W^3+10*W^4)*p4+1/3*(-15571761+2045879*W-61815*W^2+496*W^3)*p3*
p1+1/8*(-19010212+2226662*W-50074*W^2+304*W^3)*p2^2+1/4*(2404616-649402/3*W+
4762*W^2-104/3*W^3)*p2*p1^2+1/24*(-252984+15138*W-162*W^2)*p1^4)
[6, 2, 2, 2, 2]
a^4*b^3*(1/2*(-170853406+418468723/6*W-5312694*W^2+102469/3*W^3-61/2*W^4)*p2+1/
2*(42621232-55760713/6*W+879115/2*W^2-13885/3*W^3+6*W^4)*p1^2)+a^5*b^2*(1/3*(
159877921-537433645/12*W+20635959/8*W^2-200903/12*W^3+105/8*W^4)*p3+1/2*(-
40498122+13437133/2*W-478869/2*W^2+1474*W^3)*p2*p1+1/6*(6590698-5221283/6*W+
57213/2*W^2-668/3*W^3)*p1^3)+a^6*b*(1/4*(-61152164+38860715/3*W-604350*W^2+
13120/3*W^3-5*W^4)*p4+1/3*(15710418-13721797/6*W+155781/2*W^2-1402/3*W^3)*p3*p1
+1/8*(17771308-2110038*W+45258*W^2-192*W^3)*p2^2+1/4*(-3035712+336846*W-8854*W^
2+40*W^3)*p2*p1^2+1/24*(515724-155408/3*W+1296*W^2-16/3*W^3)*p1^4)+a^3*b^6*(
11434401*p3-482374*p2*p1+4764*p1^3)+a^2*b^7*(-8962470*p2+161400*p1^2)+a^5*(
5405400-22282390/3*W+16889335/6*W^2-4800923/12*W^3+283603/12*W^4-2351/4*W^5+21/
4*W^6)*p1+a^3*b^3*(-28125815/2*W+222768205/12*W^2-28754893/6*W^3+3517697/12*W^4
-5311/3*W^5+3/2*W^6)+a^4*b*(-167514863/30*W+607122997/72*W^2-52016517/16*W^3+
60610751/144*W^4-4446781/240*W^5+31415/144*W^6-2/3*W^7)+a*b^7*(-1455300*W+
1455300*W^2)+a^2*b^5*(-8565780*W+9853800*W^2-1290570*W^3+2550*W^4)+a^5*b*(1/2*(
-68501746+519106717/12*W-57075423/8*W^2+4307879/12*W^3-35657/8*W^4+14*W^5)*p2+1
/2*(25771628-41682003/4*W+28793861/24*W^2-606259/12*W^3+18067/24*W^4-8/3*W^5)*
p1^2)+a^3*b^5*(1/2*(-104331570+20424806*W-43222*W^2)*p2+1/2*(13418168-888776*W+
5340*W^2)*p1^2)+a^4*b^4*(1/3*(151648635-39329445/2*W+89355/2*W^2)*p3+1/2*(-
20068817+1031908*W-2304*W^2)*p2*p1+1/6*(1745805-71238*W+312*W^2)*p1^3)+a^4*b^2*
(44507970-565399265/12*W+274527697/24*W^2-9851587/12*W^3+403091/24*W^4-173/2*W^
5)*p1+a^3*b^4*(56747880-123782548/3*W+4939775*W^2-234902/3*W^3+147*W^4)*p1+a^2*
b^6*(23029650-8631720*W+85800*W^2)*p1+a^5*b^3*(1/4*(-104338688+9947990*W-28970*
W^2)*p4+1/3*(15022062-804508*W+1905*W^2)*p3*p1+1/8*(14396854-288684*W+408*W^2)*
p2^2+1/4*(-1551644+51572*W-86*W^2)*p2*p1^2+1/24*(159606-4780*W+12*W^2)*p1^4)+a^
4*b^5*(-8056428*p4+545559*p3*p1+42737*p2^2-13561*p2*p1^2+92*p1^4)+a^6*b^2*(1/5*
(38040520-5648025/2*W+20175/2*W^2)*p5+1/4*(-6167580+322930*W-970*W^2)*p4*p1+1/6
*(-5753500+227451/2*W-315/2*W^2)*p3*p2+1/6*(832716-60053/2*W+105/2*W^2)*p3*p1^2
+1/8*(646698-11556*W)*p2^2*p1+1/12*(-91150+2160*W)*p2*p1^3+1/120*(11070-220*W)*
p1^5)+a^5*b^4*(3480550*p5-338800*p4*p1-291641/6*p3*p2+26319/2*p3*p1^2+2154*p2^2
*p1-713/3*p2*p1^3+p1^5)+a^6*b^3*(-955290*p6+123725*p5*p1+45295/2*p4*p2-6875*p4*
p1^2+4515*p3^2-12025/6*p3*p2*p1+385/2*p3*p1^3-225/4*p2^3+75/2*p2^2*p1^2-25/12*
p2*p1^4)+a^7*b*(1/6*(-7216314+430983*W-1785*W^2)*p6+1/5*(1338195-64820*W+235*W^
2)*p5*p1+1/8*(1222250-27720*W+60*W^2)*p4*p2+1/8*(-224340+8360*W-20*W^2)*p4*p1^2
+1/18*(1262934-17688*W)*p3^2+1/6*(-178208+3000*W)*p3*p2*p1+1/18*(32130-816*W)*
p3*p1^3+1/48*(-122688+1296*W)*p2^3+1/16*(23394-288*W)*p2^2*p1^2+1/48*(-3752+48*
W)*p2*p1^4+5/8*p1^6)+a^7*b^2*(164194*p7-26803*p6*p1-12401/2*p5*p2+3937/2*p5*p1^
2-24955/12*p4*p3+1485/2*p4*p2*p1-475/6*p4*p1^3+350/3*p3^2*p1+315/8*p3*p2^2-105/
4*p3*p2*p1^2+35/24*p3*p1^4)+a^8*b*(-16272*p8+3212*p7*p1+903*p6*p2-294*p6*p1^2+
329*p5*p3-285/2*p5*p2*p1+31/2*p5*p1^3+175/2*p4^2-100/3*p4*p3*p1-45/4*p4*p2^2+15
/2*p4*p2*p1^2-5/12*p4*p1^4)+2910600*a*b^8*p1+a^7*(1/5*(8498490-17306555/12*W+
453175/8*W^2-5215/12*W^3+5/8*W^4)*p5+1/4*(-2281540+298750*W-9650*W^2+60*W^3)*p4
*p1+1/6*(-2686064+559893/2*W-11349/2*W^2+18*W^3)*p3*p2+1/6*(525926-111539/2*W+
2895/2*W^2-6*W^3)*p3*p1^2+1/8*(529644-46854*W+846*W^2)*p2^2*p1+1/12*(-103952+
9120*W-180*W^2)*p2*p1^3+1/120*(19940-1630*W+30*W^2)*p1^5)+a^6*(1/3*(23356905-
41870143/4*W+10669793/8*W^2-224093/4*W^3+5251/8*W^4-3/2*W^5)*p3+1/2*(-9031970+
2841486*W-526607/2*W^2+8801*W^3-183/2*W^4)*p2*p1+1/6*(2331774-599979*W+49701*W^
2-1620*W^3+18*W^4)*p1^3)+a^9*(-54*p7*p2+18*p7*p1^2+715*p9-165*p8*p1-3/4*p5*p2*
p1^2+10/3*p5*p3*p1+9/8*p5*p2^2+1/24*p5*p1^4-35/4*p5*p4+21/2*p6*p2*p1-70/3*p6*p3
-7/6*p6*p1^3)+a^8*(1/7*(570570-27846*W+126*W^2)*p7+1/6*(-121170+5229*W-21*W^2)*
p6*p1+1/10*(-110600+5355/2*W-15/2*W^2)*p5*p2+1/10*(24290-1765/2*W+5/2*W^2)*p5*
p1^2+1/12*(-116785+1620*W)*p4*p3+1/8*(20220-360*W)*p4*p2*p1+1/24*(-4360+120*W)*
p4*p1^3+1/18*(20220-240*W)*p3^2*p1+1/24*(14499-108*W)*p3*p2^2+1/12*(-3273+36*W)
*p3*p2*p1^2+1/72*(651-12*W)*p3*p1^4-189/4*p2^3*p1+9*p2^2*p1^3-1/4*p2*p1^5)
[5, 5, 2]
a^2*b^5*(-1289940*W+1475586*W^2-185772*W^3+126*W^4)+a^3*b^3*(-2132880*W+2784706
*W^2-691442*W^3+39710*W^4-94*W^5)+a^4*b*(-1706291/2*W+45668915/36*W^2-1412392/3
*W^3+2075135/36*W^4-13783/6*W^5+295/18*W^6)+a^5*(798336-12626273/12*W+26739469/
72*W^2-1133059/24*W^3+82733/36*W^4-955/24*W^5+25/72*W^6)*p1+a^6*b^2*(1/5*(
4166890-297270*W+90*W^2)*p5+1/4*(-445432+14396*W-12*W^2)*p4*p1+1/6*(-529512+
7692*W)*p3*p2+1/6*(27480-324*W)*p3*p1^2+1/8*(19000-264*W)*p2^2*p1-22*p2*p1^3)+a
*b^7*(-217728*W+217728*W^2)+a^4*b^4*(1/3*(20067780-2446254*W+2106*W^2)*p3+1/2*(
-2128068+50658*W-66*W^2)*p2*p1+1/6*(72948-324*W)*p1^3)+a^5*b^3*(1/4*(-12661800+
1140048*W-768*W^2)*p4+1/3*(1323642-39384*W+54*W^2)*p3*p1+1/8*(1502992-13536*W)*
p2^2+1/4*(-56316+468*W)*p2*p1^2+12*p1^4)+a^2*b^7*(-1271880*p2+8568*p1^2)+a^3*b^
4*(8454096-5855077*W+1262439/2*W^2-4211*W^3+9/2*W^4)*p1+a^7*b^2*(14950*p7-861*
p6*p1-66*p5*p2-450*p4*p3+11*p4*p2*p1+18*p3^2*p1)+a^6*b^3*(-96180*p6+4444*p5*p1+
740*p4*p2-6*p4*p1^2+900*p3^2-66*p3*p2*p1)+a^5*b^4*(387199*p5-27513/2*p4*p1-2790
*p3*p2+36*p3*p1^2+121/2*p2^2*p1)+a^3*b^6*(1515300*p3-23970*p2*p1+18*p1^3)+a^4*b
^5*(-983550*p4+24982*p3*p1+2090*p2^2-66*p2*p1^2)+a^5*b*(1/2*(-9623208+17265688/
3*W-883768*W^2+119480/3*W^3-288*W^4)*p2+1/2*(3262488-1136019*W+99953*W^2-2405*W
^3+15*W^4)*p1^2)+a^6*b*(1/4*(-7337940+4344524/3*W-63020*W^2+736/3*W^3)*p4+1/3*(
1515226-174813*W+3630*W^2-15*W^3)*p3*p1+1/8*(1885816-193104*W+2448*W^2)*p2^2+1/
4*(-190320+12012*W-108*W^2)*p2*p1^2+1/24*(15040-432*W)*p1^4)+a^2*b^6*(3439296-
1223496*W+4536*W^2)*p1+a^3*b^5*(1/2*(-14807232+2734512*W-2064*W^2)*p2+1/2*(
1609944-45300*W+36*W^2)*p1^2)+a^5*b^2*(1/3*(21039715-5517297*W+295434*W^2-909*W
^3)*p3+1/2*(-4560268+1823285/3*W-11642*W^2+109/3*W^3)*p2*p1+1/6*(478084-34335*W
+279*W^2)*p1^3)+a^4*b^3*(1/2*(-24181002+27950966/3*W-658862*W^2+4840/3*W^3)*p2+
1/2*(5333706-926166*W+22006*W^2-64*W^3)*p1^2)+a^7*b*(1/6*(-702324+41832*W)*p6+1
/5*(79210-2490*W)*p5*p1+1/8*(93776-2016*W)*p4*p2+1/8*(-6360+72*W)*p4*p1^2+1/18*
(108000-2160*W)*p3^2+1/6*(-5220+108*W)*p3*p2*p1+12*p3*p1^3)+a^4*b^2*(6607728-
6687256*W+2995355/2*W^2-182039/2*W^3+1897/2*W^4-5/2*W^5)*p1+a^8*b*(-1350*p8+94*
p7*p1+36*p5*p3+50*p4^2-6*p4*p3*p1)+435456*a*b^8*p1+a^8*(1/7*(48510-2520*W)*p7+1
/6*(-5880+168*W)*p6*p1+1/10*(-6900+180*W)*p5*p2+54*p5*p1^2+1/12*(-8520+240*W)*
p4*p3+1/8*(680-24*W)*p4*p2*p1-2*p4*p1^3+20*p3^2*p1)+a^7*(1/5*(911295-143945*W+
5370*W^2-25*W^3)*p5+1/4*(-183456+56318/3*W-416*W^2+10/3*W^3)*p4*p1+1/6*(-250500
+22980*W-360*W^2)*p3*p2+1/6*(26340-1440*W)*p3*p1^2+1/8*(30880-1860*W+36*W^2)*p2
^2*p1+1/12*(-2760+72*W)*p2*p1^3+2*p1^5)+a^6*(1/3*(3031380-1273705*W+150460*W^2-
5765*W^3+50*W^4)*p3+1/2*(-1030380+837955/3*W-20459*W^2+1397/3*W^3-5*W^4)*p2*p1+
1/6*(195660-35378*W+1548*W^2-10*W^3)*p1^3)+a^9*(55*p9-9/2*p8*p1-6*p5*p4+1/2*p4^
2*p1)
[5, 4, 3]
a^4*b^2*(11018088-33634024/3*W+2550894*W^2-320791/2*W^3+2028*W^4-55/6*W^5)*p1+a
^3*b^4*(14096376-9815958*W+1064475*W^2-6006*W^3+9*W^4)*p1+a^2*b^6*(5733504-
2051136*W+3456*W^2)*p1+a^3*b^6*(2541726*p3-12894*p2*p1+12*p1^3)+a^2*b^7*(-
2123712*p2+3456*p1^2)+a^6*b^3*(-169428*p6+1040*p5*p1+4779*p4*p2-2*p4*p1^2+1623*
p3^2-47*p3*p2*p1-33*p2^3)+a^5*b^4*(665900*p5-4090*p4*p1-11747*p3*p2+18*p3*p1^2+
73*p2^2*p1)+a^4*b^5*(-1665015*p4+9164*p3*p1+10437*p2^2-52*p2*p1^2)+a^4*b^4*(1/3
*(33571527-4243584*W+13746*W^2)*p3+1/2*(-3310142+40536*W-104*W^2)*p2*p1+1/6*(
24552-180*W)*p1^3)+a^3*b^5*(1/2*(-24701630+4658998*W-12894*W^2)*p2+1/2*(2539154
-19096*W+36*W^2)*p1^2)+a^7*b*(1/6*(-1226946+80136*W-420*W^2)*p6+1/5*(92225-1290
*W)*p5*p1+1/8*(199780-6404*W+20*W^2)*p4*p2+1/8*(-1640+16*W)*p4*p1^2+1/18*(
213678-6462*W+54*W^2)*p3^2+1/6*(-7722+144*W)*p3*p2*p1+2*p3*p1^3+1/48*(-19800+
432*W)*p2^3+6*p2^2*p1^2)+a^6*b^2*(1/5*(7115285-546710*W+2600*W^2)*p5+1/4*(-
575584+7360*W-8*W^2)*p4*p1+1/6*(-1029099+28785*W-141*W^2)*p3*p2+1/6*(10191-126*
W)*p3*p1^2+1/8*(34336-512*W)*p2^2*p1-10*p2*p1^3)+a^8*b*(-2565*p8+8*p7*p1+147*p6
*p2+117*p5*p3+45*p4^2-p4*p3*p1-3*p4*p2^2-6*p3^2*p2)+a^5*b^3*(1/4*(-21330240+
2028460*W-8180*W^2)*p4+1/3*(1888059-22236*W+54*W^2)*p3*p1+1/8*(2776364-69220*W+
292*W^2)*p2^2+1/4*(-33638+340*W)*p2*p1^2+4*p1^4)+a^6*b*(1/4*(-12273630+2565306*
W-128752*W^2+1308*W^3-2*W^4)*p4+1/3*(2313233-250955*W+4551*W^2-34*W^3)*p3*p1+1/
8*(3299428-404808*W+10904*W^2-80*W^3)*p2^2+1/4*(-223228+10028*W-116*W^2)*p2*p1^
2+1/24*(3920-96*W)*p1^4)+a^5*b^2*(1/3*(35077943-9543252*W+1135683/2*W^2-5253*W^
3+27/2*W^4)*p3+1/2*(-7293023+2831075/3*W-16681*W^2+298/3*W^3)*p2*p1+1/6*(535409
-15408*W+132*W^2)*p1^3)+a^4*b^3*(1/2*(-40296887+15855879*W-1208295*W^2+10268*W^
3-26*W^4)*p2+1/2*(8576249-4073534/3*W+15616*W^2-190/3*W^3)*p1^2)+a*b^7*(-362880
*W+362880*W^2)+a^5*(1330560-7054193/4*W+15201307/24*W^2-1005659/12*W^3+35675/8*
W^4-569/6*W^5+5/6*W^6)*p1+a^5*b*(1/2*(-16008624+58628713/6*W-19102813/12*W^2+
255284/3*W^3-16571/12*W^4+43/6*W^5)*p2+1/2*(5253840-5321338/3*W+430724/3*W^2-
8552/3*W^3+70/3*W^4)*p1^2)+725760*a*b^8*p1+a^7*b^2*(27224*p7-140*p6*p1-1151*p5*
p2-773*p4*p3+5*p4*p2*p1+6*p3^2*p1+29*p3*p2^2)+a^2*b^5*(-2149920*W+2466720*W^2-
317664*W^3+864*W^4)+a^3*b^3*(-21339785/6*W+56046017/12*W^2-7124455/6*W^3+889837
/12*W^4-616*W^5+3/2*W^6)+a^4*b*(-17094779/12*W+17083653/8*W^2-4872029/6*W^3+
848887/8*W^4-30467/6*W^5+161/2*W^6-5/12*W^7)+a^9*(-7*p6*p3-8*p7*p2-6*p5*p4+110*
p9+p4*p3*p2)+a^8*(1/7*(87780-5068*W+28*W^2)*p7+1/6*(-6174+84*W)*p6*p1+1/10*(-
16420+600*W)*p5*p2+12*p5*p1^2+1/12*(-18210+606*W-6*W^2)*p4*p3+1/8*(696-16*W)*p4
*p2*p1+40*p3^2*p1+1/24*(2220-72*W)*p3*p2^2-2*p3*p2*p1^2)+a^7*(1/5*(1536150-
263610*W+11740*W^2-130*W^3)*p5+1/4*(-265290+25362*W-466*W^2+4*W^3)*p4*p1+1/6*(-
448780+50644*W-1458*W^2+14*W^3)*p3*p2+1/6*(25920-1086*W+6*W^2)*p3*p1^2+1/8*(
46860-3088*W+48*W^2)*p2^2*p1+1/12*(-1288+48*W)*p2*p1^3)+a^6*(1/3*(5027880-
8752777/4*W+2246877/8*W^2-26249/2*W^3+1763/8*W^4-5/4*W^5)*p3+1/2*(-1648488+
451824*W-103370/3*W^2+890*W^3-28/3*W^4)*p2*p1+1/6*(254280-37546*W+1198*W^2-12*W
^3)*p1^3)
[5, 4, 2, 2]
a^2*b^6*(-25642008+9394884*W-57024*W^2)*p1+a^7*b*(1/6*(6660612-424788*W+546*W^2
)*p6+1/5*(-953710+41775*W-30*W^2)*p5*p1+1/8*(-994016+22752*W-24*W^2)*p4*p2+1/8*
(110040-3340*W+4*W^2)*p4*p1^2+1/18*(-1156284+29322*W-54*W^2)*p3^2+1/6*(93438-
2043*W)*p3*p2*p1+1/18*(-8874+189*W)*p3*p1^3+1/48*(37800-648*W)*p2^3+1/16*(-4344
+72*W)*p2^2*p1^2+3*p2*p1^4)+a^6*b^2*(1/5*(-36881820+2804615*W-4220*W^2)*p5+1/4*
(4801588-211528*W+304*W^2)*p4*p1+1/6*(5159964-97470*W+168*W^2)*p3*p2+1/6*(-
443436+12207*W-27*W^2)*p3*p1^2+1/8*(-332476+5124*W)*p2^2*p1+1/12*(21702-330*W)*
p2*p1^3-2*p1^5)+a^5*b^3*(1/4*(105735240-10073300*W+16040*W^2)*p4+1/3*(-12849432
+536301*W-1008*W^2)*p3*p1+1/8*(-13584880+195300*W-372*W^2)*p2^2+1/4*(862110-
18016*W+40*W^2)*p2*p1^2+1/24*(-39540+360*W)*p1^4)+a^3*b^4*(-63116172+44926485*W
-5135379*W^2+53862*W^3-78*W^4)*p1+a^4*b^4*(1/3*(-159719256+20421291*W-31080*W^2
)*p3+1/2*(18790550-674742*W+1168*W^2)*p2*p1+1/6*(-1030278+21882*W-36*W^2)*p1^3)
+a^3*b^5*(1/2*(113449056-21770352*W+29604*W^2)*p2+1/2*(-13331400+581478*W-1722*
W^2)*p1^2)+a^2*b^5*(9574602*W-10995750*W^2+1422930*W^3-1782*W^4)+a^3*b^3*(
15775798*W-41495787/2*W^2+5289256*W^3-318423*W^4+1264*W^5-3/2*W^6)+a^4*b*(
6288137*W-84977465/9*W^2+14368209/4*W^3-32939431/72*W^4+58243/3*W^5-12337/72*W^
6+5/12*W^7)+a*b^7*(1621620*W-1621620*W^2)+a^8*b*(14850*p8-1720*p7*p1-273*p6*p2+
63*p6*p1^2-576*p5*p3+18*p5*p2*p1-395*p4^2+105*p4*p3*p1+9/2*p4*p2^2-3/2*p4*p2*p1
^2+9*p3^2*p2-3*p3^2*p1^2)+a^7*b^2*(-151704*p7+14546*p6*p1+2634*p5*p2-433*p5*p1^
2+4523*p4*p3-248*p4*p2*p1+p4*p1^3-300*p3^2*p1-87/2*p3*p2^2+29/2*p3*p2*p1^2)+a^6
*b^3*(906948*p6-69556*p5*p1-13304*p4*p2+1650*p4*p1^2-8688*p3^2+1182*p3*p2*p1-9*
p3*p1^3+99/2*p2^3-33/2*p2^2*p1^2)+a^4*b^5*(8212230*p4-338788*p3*p1-29336*p2^2+
4047*p2*p1^2-6*p1^4)+a^5*b^4*(-3420720*p5+199750*p4*p1+37062*p3*p2-3595*p3*p1^2
-1070*p2^2*p1+20*p2*p1^3)+a^3*b^6*(-12066396*p3+310860*p2*p1-1422*p1^3)+a^2*b^7
*(9748692*p2-106920*p1^2)-3243240*a*b^8*p1+a^4*b^2*(-49423176+307822505/6*W-
48201243/4*W^2+2416666/3*W^3-48759/4*W^4+133/3*W^5)*p1+a^5*b*(1/2*(74078820-
137443864/3*W+29558627/4*W^2-1074725/3*W^3+13081/4*W^4-8*W^5)*p2+1/2*(-26429220
+9987955*W-12279773/12*W^2+206683/6*W^3-4327/12*W^4+5/6*W^5)*p1^2)+a^5*(-
5987520+16159027/2*W-107050175/36*W^2+1616567/4*W^3-789227/36*W^4+1787/4*W^5-55
/18*W^6)*p1+a^4*b^3*(1/2*(185487360-222394151/3*W+5541036*W^2-69547/3*W^3+29*W^
4)*p2+1/2*(-43395774+8459575*W-292576*W^2+1863*W^3-3*W^4)*p1^2)+a^5*b^2*(1/3*(-
167760486+92176455/2*W-5270445/2*W^2+24459/2*W^3-27/2*W^4)*p3+1/2*(39216014-
17714657/3*W+162149*W^2-2053/3*W^3)*p2*p1+1/6*(-5059164+513694*W-10947*W^2+50*W
^3)*p1^3)+a^6*b*(1/4*(61472160-38525504/3*W+601000*W^2-8932/3*W^3+2*W^4)*p4+1/3
*(-14131624+3782049/2*W-110097/2*W^2+261*W^3)*p3*p1+1/8*(-16776352+1883598*W-
30876*W^2+102*W^3)*p2^2+1/4*(2175240-193587*W+3638*W^2-11*W^3)*p2*p1^2+1/24*(-
252136+17316*W-240*W^2)*p1^4)+a^9*(-4*p7*p1^2+12*p7*p2+90*p8*p1+28*p6*p3+51*p5*
p4-5*p4^2*p1-660*p9-6*p5*p3*p1+1/2*p4*p3*p1^2-3/2*p4*p3*p2)+a^8*(1/7*(-498960+
27748*W-28*W^2)*p7+1/6*(79632-3360*W)*p6*p1+1/10*(78960-1980*W)*p5*p2+1/10*(-
10880+330*W)*p5*p1^2+1/12*(102840-3186*W+6*W^2)*p4*p3+1/8*(-9788+240*W)*p4*p2*
p1+1/24*(1188-24*W)*p4*p1^3+1/18*(-12060+360*W)*p3^2*p1+1/24*(-4680+108*W)*p3*
p2^2+1/12*(816-18*W)*p3*p2*p1^2-p3*p1^4)+a^7*(1/5*(-8108100+2742705/2*W-54925*W
^2+545/2*W^3)*p5+1/4*(1885140-690548/3*W+6714*W^2-94/3*W^3)*p4*p1+1/6*(2383020-
485157/2*W+4575*W^2-33/2*W^3)*p3*p2+1/6*(-347300+63331/2*W-678*W^2+5/2*W^3)*p3*
p1^2+1/8*(-355240+25764*W-360*W^2)*p2^2*p1+1/12*(47184-2982*W+36*W^2)*p2*p1^3+1
/120*(-5480+240*W)*p1^5)+a^6*(1/3*(-24318360+10663008*W-5336191/4*W^2+219143/4*
W^3-2109/4*W^4+5/4*W^5)*p3+1/2*(8813124-15641993/6*W+219262*W^2-36421/6*W^3+47*
W^4)*p2*p1+1/6*(-1956204+876461/2*W-29729*W^2+1431/2*W^3-5*W^4)*p1^3)
[5, 3, 3, 2]
a^7*b*(1/6*(6129312-415506*W+3234*W^2)*p6+1/5*(-682080+46905/2*W-435/2*W^2)*p5*
p1+1/8*(-1110304+40544*W-256*W^2)*p4*p2+1/8*(48172-584*W+4*W^2)*p4*p1^2+1/18*(-
1100088+27648*W-216*W^2)*p3^2+1/6*(86310-2472*W+18*W^2)*p3*p2*p1-88*p3*p1^3+1/
48*(142176-3744*W)*p2^3+1/16*(-6584+120*W)*p2^2*p1^2+2*p2*p1^4)+a^6*b^2*(1/5*(-
33376800+2672280*W-17460*W^2)*p5+1/4*(3632108-121300*W+916*W^2)*p4*p1+1/6*(
5182632-155052*W+906*W^2)*p3*p2+1/6*(-221544+3024*W-18*W^2)*p3*p1^2+1/8*(-
342468+9492*W-56*W^2)*p2^2*p1+1/12*(10482-126*W)*p2*p1^3-p1^5)-2882880*a*b^8*p1
+a^4*b*(16796254/3*W-25410133/3*W^2+6591615/2*W^3-1341266/3*W^4+69065/3*W^5-451
*W^6+7/2*W^7)+a^3*b^4*(-56122752+40126436*W-4614558*W^2+48124*W^3-162*W^4)*p1+a
^4*b^2*(-43949856+275032097/6*W-65497859/6*W^2+18177229/24*W^3-341707/24*W^4+
997/8*W^5-3/8*W^6)*p1+a^2*b^5*(8510728*W-9797544*W^2+1291064*W^3-4248*W^4)+a*b^
7*(1441440*W-1441440*W^2)+a^3*b^3*(14028550*W-18539717*W^2+4820597*W^3-312562*W
^4+3141*W^5-9*W^6)+a^5*b*(1/2*(65742576-124190038/3*W+21138166/3*W^2-1218511/3*
W^3+24584/3*W^4-193/3*W^5)*p2+1/2*(-22810608+50473921/6*W-9837697/12*W^2+108139
/4*W^3-5255/12*W^4+37/12*W^5)*p1^2)+a^6*b*(1/4*(54799440-35894968/3*W+641722*W^
2-25808/3*W^3+30*W^4)*p4+1/3*(-11706804+2982147/2*W-172605/4*W^2+561*W^3-9/4*W^
4)*p3*p1+1/8*(-15676464+6216520/3*W-66904*W^2+2144/3*W^3)*p2^2+1/4*(1559208-
371636/3*W+2882*W^2-82/3*W^3)*p2*p1^2+1/24*(-98208+3072*W-24*W^2)*p1^4)+a^2*b^6
*(-22796928+8389488*W-39168*W^2)*p1+a^5*b^2*(1/3*(-149162292+42175193*W-
10570161/4*W^2+30112*W^3-387/4*W^4)*p3+1/2*(33780168-30037057/6*W+574599/4*W^2-
4960/3*W^3+23/4*W^4)*p2*p1+1/6*(-3506544+263561*W-8469/2*W^2+59/2*W^3)*p1^3)+a^
4*b^3*(1/2*(164865576-201016688/3*W+5333129*W^2-164008/3*W^3+159*W^4)*p2+1/2*(-
37522512+6884619*W-378323/2*W^2+1663*W^3-9/2*W^4)*p1^2)+a^9*(72*p7*p2+45*p8*p1-
5/2*p4^2*p1+36*p5*p4+28*p6*p3-660*p9-7*p6*p2*p1-3*p5*p2^2-4*p4*p3*p2+1/2*p4*p2^
2*p1)+a^8*(1/7*(-471240+27972*W-252*W^2)*p7+1/6*(53760-1785*W+21*W^2)*p6*p1+1/
10*(103800-4380*W+30*W^2)*p5*p2-396*p5*p1^2+1/12*(99960-2784*W+24*W^2)*p4*p3+1/
8*(-10460+400*W-4*W^2)*p4*p2*p1+8*p4*p1^3-360*p3^2*p1+1/24*(-17400+528*W)*p3*p2
^2+48*p3*p2*p1^2+1/48*(2040-72*W)*p2^3*p1-p2^2*p1^3)+a^7*(1/5*(-7276500+1310020
*W-254385/4*W^2+980*W^3-15/4*W^4)*p5+1/4*(1490520-513635/3*W+10557/2*W^2-262/3*
W^3+1/2*W^4)*p4*p1+1/6*(2287800-277516*W+9342*W^2-116*W^3)*p3*p2+1/6*(-207720+
13464*W-144*W^2)*p3*p1^2+1/8*(-332160+95228/3*W-1086*W^2+46/3*W^3)*p2^2*p1+1/12
*(23040-1128*W+12*W^2)*p2*p1^3-6*p1^5)+a^6*(1/3*(-21518640+9734437*W-5273989/4*
W^2+135621/2*W^3-5771/4*W^4+25/2*W^5)*p3+1/2*(7553280-13556425/6*W+2430389/12*W
^2-30297/4*W^3+1915/12*W^4-19/12*W^5)*p2*p1+1/6*(-1407456+267552*W-28005/2*W^2+
252*W^3-3/2*W^4)*p1^3)+a^2*b^7*(8677776*p2-61344*p1^2)+a^5*(-5322240+43329895/6
*W-5408567/2*W^2+1152830/3*W^3-1133579/48*W^4+11297/16*W^5-589/48*W^6+5/48*W^7)
*p1+a^3*b^6*(-10776792*p3+190128*p2*p1-504*p1^3)+a^4*b^5*(7382440*p4-191766*p3*
p1-52156*p2^2+1827*p2*p1^2-3*p1^4)+a^5*b^4*(-3108780*p5+111145*p4*p1+60608*p3*
p2-1098*p3*p1^2-3119/2*p2^2*p1+23/2*p2*p1^3)+a^6*b^3*(837704*p6-38142*p5*p1-
27622*p4*p2+428*p4*p1^2-7116*p3^2+1377*p3*p2*p1-3*p3*p1^3+194*p2^3-14*p2^2*p1^2
)+a^7*b^2*(-143208*p7+7826*p6*p1+7464*p5*p2-84*p5*p1^2+3576*p4*p3-483*p4*p2*p1+
1/2*p4*p1^3-90*p3^2*p1-173*p3*p2^2+6*p3*p2*p1^2+11/2*p2^3*p1)+a^8*b*(14400*p8-
900*p7*p1-1106*p6*p2+7*p6*p1^2-516*p5*p3+87*p5*p2*p1-260*p4^2+30*p4*p3*p1+34*p4
*p2^2-p4*p2*p1^2+24*p3^2*p2-3*p3*p2^2*p1)+a^3*b^5*(1/2*(100918008-19679904*W+
64896*W^2)*p2+1/2*(-11388360+334344*W-1080*W^2)*p1^2)+a^4*b^4*(1/3*(-142379232+
18700272*W-74196*W^2)*p3+1/2*(15920126-456157*W+2145*W^2)*p2*p1+1/6*(-561150+
7155*W-27*W^2)*p1^3)+a^5*b^3*(1/4*(94742320-9388420*W+49060*W^2)*p4+1/3*(-
10282740+631503/2*W-3681/2*W^2)*p3*p1+1/8*(-13134944+366784*W-1760*W^2)*p2^2+1/
4*(531862-9568*W+46*W^2)*p2*p1^2+1/24*(-11340+108*W)*p1^4)
[5, 3, 2, 2, 2]
a^4*b^2*(142460760-454068130/3*W+74257723/2*W^2-32524823/12*W^3+224819/4*W^4-
1687/4*W^5+3/4*W^6)*p1+a^3*b^4*(181636560-132551824*W+15937952*W^2-225820*W^3+
636*W^4)*p1+a^9*(15*p4^2*p1+9*p5*p2^2-406/3*p6*p3+36*p7*p1^2-228*p7*p2-495*p8*
p1+2860*p9+24*p5*p3*p1-146*p5*p4-7/6*p6*p1^3+77/2*p6*p2*p1-3*p5*p2*p1^2-2*p4*p3
*p1^2+28/3*p4*p3*p2+1/6*p4*p2*p1^3-3/2*p4*p2^2*p1)+a^2*b^6*(73704960-27737580*W
+223164*W^2)*p1+a^8*b*(-59985*p8+8916*p7*p1+7021/2*p6*p2-1113/2*p6*p1^2+2178*p5
*p3-993/2*p5*p2*p1+33/2*p5*p1^3+1075*p4^2-1066/3*p4*p3*p1-189/2*p4*p2^2+32*p4*
p2*p1^2-1/6*p4*p1^4-56*p3^2*p2+12*p3^2*p1^2+9*p3*p2^2*p1-p3*p2*p1^3)+a^6*b*(1/4
*(-196005850+129776350/3*W-2240212*W^2+67460/3*W^3-58*W^4)*p4+1/3*(48271789-
42341305/6*W+250348*W^2-7345/3*W^3+9/2*W^4)*p3*p1+1/8*(57488988-7355340*W+
196256*W^2-1692*W^3)*p2^2+1/4*(-8485004+2724976/3*W-25586*W^2+710/3*W^3)*p2*p1^
2+1/24*(1162000-308360/3*W+2488*W^2-64/3*W^3)*p1^4)+a^3*b^3*(-135036992/3*W+
178941223/3*W^2-93758051/6*W^3+5995375/6*W^4-15295/2*W^5+33/2*W^6)+a^5*b*(1/2*(
-218972192+1680370307/12*W-191285325/8*W^2+3941339/3*W^3-168659/8*W^4+1601/12*W
^5)*p2+1/2*(80994592-389468263/12*W+88166707/24*W^2-458452/3*W^3+62573/24*W^4-
217/12*W^5)*p1^2)+a^4*b^3*(1/2*(-546742901+678817096/3*W-35993429/2*W^2+429653/
3*W^3-641/2*W^4)*p2+1/2*(133726087-28184067*W+2380565/2*W^2-12483*W^3+75/2*W^4)
*p1^2)+a^5*b^2*(1/3*(511734539-441052283/3*W+18166429/2*W^2-237181/3*W^3+363/2*
W^4)*p3+1/2*(-126631431+125222743/6*W-1463335/2*W^2+19834/3*W^3-13*W^4)*p2*p1+1
/6*(18320249-13138249/6*W+65342*W^2-1876/3*W^3+3/2*W^4)*p1^3)+a^2*b^5*(-
27407950*W+31600449*W^2-4202930*W^3+10431*W^4)+a*b^7*(-4656960*W+4656960*W^2)+a
^3*b^6*(36783328*p3-1227192*p2*p1+9000*p1^3)+a^2*b^7*(-28725420*p2+404604*p1^2)
+a^5*(17297280-286321877/12*W+109758139/12*W^2-21344313/16*W^3+3997939/48*W^4-
38077/16*W^5+1633/48*W^6-5/24*W^7)*p1+a^4*b*(-214654709/12*W+1954751087/72*W^2-
42483321/4*W^3+102762353/72*W^4-275643/4*W^5+9580/9*W^6-79/12*W^7)+a^4*b^5*(-
26109965*p4+1376276*p3*p1+156442*p2^2-26916*p2*p1^2+127*p1^4)+a^5*b^4*(11433440
*p5-856915*p4*p1-1143139/6*p3*p2+49645/2*p3*p1^2+15761/2*p2^2*p1-2243/6*p2*p1^3
+p1^5)+a^3*b^5*(1/2*(-334110352+66449612*W-170988*W^2)*p2+1/2*(41604256-2257092
*W+11412*W^2)*p1^2)+a^5*b^3*(1/4*(-336240140+33709000*W-127800*W^2)*p4+1/3*(
45010823-4398137/2*W+17409/2*W^2)*p3*p1+1/8*(47323394-1107402*W+3994*W^2)*p2^2+
1/4*(-3889684+116417*W-487*W^2)*p2*p1^2+1/24*(287378-6676*W+24*W^2)*p1^4)+a^6*b
^3*(-3210550*p6+317232*p5*p1+173425/2*p4*p2-25341/2*p4*p1^2+27354*p3^2-47899/6*
p3*p2*p1+501/2*p3*p1^3-999/2*p2^3+181*p2^2*p1^2-17/6*p2*p1^4)+a^4*b^4*(1/3*(
486568971-65013924*W+193800*W^2)*p3+1/2*(-61781822+2770644*W-9396*W^2)*p2*p1+1/
6*(4277520-137928*W+588*W^2)*p1^3)+a^6*b^2*(1/5*(123610175-9929280*W+45780*W^2)
*p5+1/4*(-18075240+910750*W-4382*W^2)*p4*p1+1/6*(-19336397+496634*W-1994*W^2)*
p3*p2+1/6*(2042441-68658*W+342*W^2)*p3*p1^2+1/8*(1828174-44994*W+146*W^2)*p2^2*
p1+1/12*(-177902+4283*W-17*W^2)*p2*p1^3+1/120*(12770-180*W)*p1^5)+a^7*b^2*(
572372*p7-70742*p6*p1-47039/2*p5*p2+7251/2*p5*p1^2-14404*p4*p3+2731*p4*p2*p1-91
*p4*p1^3+992*p3^2*p1+1334/3*p3*p2^2-139*p3*p2*p1^2+p3*p1^4-33/2*p2^3*p1+11/6*p2
^2*p1^3)+a^7*b*(1/6*(-23780358+1599360*W-8568*W^2)*p6+1/5*(3874165-382665/2*W+
2145/2*W^2)*p5*p1+1/8*(4211090-129450*W+602*W^2)*p4*p2+1/8*(-539690+19510*W-118
*W^2)*p4*p1^2+1/18*(4432284-107148*W+396*W^2)*p3^2+1/6*(-522409+13941*W-45*W^2)
*p3*p2*p1+1/18*(60771-1545*W+9*W^2)*p3*p1^3+1/48*(-443124+10152*W)*p2^3+1/16*(
57668-1368*W)*p2^2*p1^2+1/48*(-5464+96*W)*p2*p1^4+1/3*p1^6)+9313920*a*b^8*p1+a^
8*(1/7*(1921920-111552*W+672*W^2)*p7+1/6*(-350574+16401*W-105*W^2)*p6*p1+1/10*(
-394820+13635*W-75*W^2)*p5*p2+1/10*(57280-2055*W+15*W^2)*p5*p1^2+1/12*(-427540+
11564*W-44*W^2)*p4*p3+1/8*(62546-1914*W+10*W^2)*p4*p2*p1+1/24*(-7918+194*W-2*W^
2)*p4*p1^3+1/18*(61440-1440*W)*p3^2*p1+1/24*(57680-1392*W)*p3*p2^2+1/12*(-8444+
192*W)*p3*p2*p1^2+32/3*p3*p1^4+1/48*(-8820+216*W)*p2^3*p1+1/48*(1124-24*W)*p2^2
*p1^3-1/3*p2*p1^5)+a^7*(1/5*(27327300-14804870/3*W+450155/2*W^2-7585/3*W^3+15/2
*W^4)*p5+1/4*(-6879170+922061*W-33026*W^2+366*W^3-W^4)*p4*p1+1/6*(-8772140+
3065287/3*W-28545*W^2+788/3*W^3)*p3*p2+1/6*(1415800-147577*W+4217*W^2-40*W^3)*
p3*p1^2+1/8*(1581980-153026*W+4210*W^2-40*W^3)*p2^2*p1+1/12*(-241448+61546/3*W-
504*W^2+14/3*W^3)*p2*p1^3+1/120*(32080-1940*W+20*W^2)*p1^5)+a^6*(1/3*(74508720-
68296899/2*W+55120147/12*W^2-659464/3*W^3+44033/12*W^4-145/6*W^5)*p3+1/2*(-
28248808+35931497/4*W-6883177/8*W^2+192973/6*W^3-4247/8*W^4+43/12*W^5)*p2*p1+1/
6*(6730104-6640867/4*W+3175409/24*W^2-26489/6*W^3+1615/24*W^4-5/12*W^5)*p1^3)
[5, 2, 2, 2, 2, 2]
a^4*b^2*(-74632194+484292359/6*W-61178147/3*W^2+12531587/8*W^3-872027/24*W^4+
6407/24*W^5-3/8*W^6)*p1+a^2*b^7*(15341778*p2-292194*p1^2)+a^5*(-9081072+
76377949/6*W-360341137/72*W^2+36256579/48*W^3-3548935/72*W^4+4408/3*W^5-182/9*W
^6+5/48*W^7)*p1+a^5*b*(1/2*(117471576-459531101/6*W+53369799/4*W^2-8903663/12*W
^3+47053/4*W^4-273/4*W^5)*p2+1/2*(-45458268+115780361/6*W-28679185/12*W^2+
112820*W^3-25475/12*W^4+85/6*W^5)*p1^2)+a*b^7*(2432430*W-2432430*W^2)+a^2*b^5*(
14272542*W-16491384*W^2+2224323*W^3-5481*W^4)+a^3*b^3*(23362189*W-62164943/2*W^
2+16499421/2*W^3-533441*W^4+8041/2*W^5-15/2*W^6)+a^4*b*(138763127/15*W-
254097427/18*W^2+67073867/12*W^3-54724345/72*W^4+551518/15*W^5-39667/72*W^6+37/
12*W^7)+a^5*b^4*(-6748708*p5+691485*p4*p1+119661*p3*p2-29757*p3*p1^2-6440*p2^2*
p1+1383/2*p2*p1^3-9/2*p1^5)+a^3*b^4*(-95026176+141440559/2*W-8845767*W^2+306075
/2*W^3-414*W^4)*p1+a^2*b^6*(-38523870+14811633*W-157059*W^2)*p1+a^3*b^5*(1/2*(
178413000-36290400*W+95676*W^2)*p2+1/2*(-23809548+1666194*W-11448*W^2)*p1^2)+a^
4*b^4*(1/3*(-267461082+36568071*W-106326*W^2)*p3+1/2*(37082356-2054278*W+6694*W
^2)*p2*p1+1/6*(-3401592+154434*W-900*W^2)*p1^3)+a^7*b*(1/6*(14794332-1000734*W+
5208*W^2)*p6+1/5*(-2937916+161739*W-825*W^2)*p5*p1+1/8*(-2765024+84462*W-342*W^
2)*p4*p2+1/8*(537468-23864*W+110*W^2)*p4*p1^2+1/18*(-2863212+63828*W-180*W^2)*
p3^2+1/6*(444438-11649*W+27*W^2)*p3*p2*p1+1/18*(-87774+3033*W-9*W^2)*p3*p1^3+1/
48*(324540-6804*W)*p2^3+1/16*(-67704+1602*W)*p2^2*p1^2+1/48*(12900-336*W)*p2*p1
^4+1/720*(-2256+54*W)*p1^6)+a^6*b^2*(1/5*(-73357600+5984733*W-26868*W^2)*p5+1/4
*(12646610-734107*W+3197*W^2)*p4*p1+1/6*(12023384-313226*W+1064*W^2)*p3*p2+1/6*
(-1842676+78236*W-300*W^2)*p3*p1^2+1/8*(-1471210+37587*W-93*W^2)*p2^2*p1+1/12*(
226760-7328*W+20*W^2)*p2*p1^3+1/120*(-32110+1013*W-3*W^2)*p1^5)+a^5*b^3*(1/4*(
191473984-19601150*W+72290*W^2)*p4+1/3*(-29109750+1697928*W-6060*W^2)*p3*p1+1/8
*(-28158100+699960*W-2196*W^2)*p2^2+1/4*(3214902-124511*W+443*W^2)*p2*p1^2+1/24
*(-360384+13350*W-66*W^2)*p1^4)+a^6*b^3*(1975232*p6-1347536/5*p5*p1-115591/2*p4
*p2+32941/2*p4*p1^2-15418*p3^2+6650*p3*p2*p1-567*p3*p1^3+1251/4*p2^3-795/4*p2^2
*p1^2+45/4*p2*p1^4-1/20*p1^6)+a^4*b^5*(14836324*p4-1059502*p3*p1-97067*p2^2+
29651*p2*p1^2-243*p1^4)+a^3*b^6*(-20210250*p3+904095*p2*p1-9852*p1^3)+a^6*b*(1/
4*(112247352-75977084/3*W+1321627*W^2-38011/3*W^3+28*W^4)*p4+1/3*(-30287092+
4793718*W-750399/4*W^2+1710*W^3-9/4*W^4)*p3*p1+1/8*(-34333600+4521432*W-123075*
W^2+975*W^3)*p2^2+1/4*(6239640-773219*W+25141*W^2-218*W^3)*p2*p1^2+1/24*(-
1143640+132118*W-4335*W^2+41*W^3)*p1^4)+a^5*b^2*(1/3*(-282046342+165777231/2*W-
20783685/4*W^2+87603/2*W^3-339/4*W^4)*p3+1/2*(74430456-39695945/3*W+2115149/4*W
^2-28061/6*W^3+29/4*W^4)*p2*p1+1/6*(-12777904+3664635/2*W-69627*W^2+777*W^3-3/2
*W^4)*p1^3)+a^4*b^3*(1/2*(292308996-370749545/3*W+20044335/2*W^2-241402/3*W^3+
317/2*W^4)*p2+1/2*(-75330090+51948160/3*W-884162*W^2+33515/3*W^3-30*W^4)*p1^2)+
a^7*b^2*(-367780*p7+63462*p6*p1+83541/5*p5*p2-5121*p5*p1^2+49423/6*p4*p3-10019/
4*p4*p2*p1+1487/6*p4*p1^3-694*p3^2*p1-1111/4*p3*p2^2+947/6*p3*p2*p1^2-29/4*p3*
p1^4+99/8*p2^3*p1-11/4*p2^2*p1^3+11/120*p2*p1^5)+a^8*b*(40266*p8-8452*p7*p1-
2646*p6*p2+854*p6*p1^2-6726/5*p5*p3+504*p5*p2*p1-54*p5*p1^3-1135/2*p4^2+503/2*
p4*p3*p1+261/4*p4*p2^2-42*p4*p2*p1^2+9/4*p4*p1^4+30*p3^2*p2-10*p3^2*p1^2-27/4*
p3*p2^2*p1+3/2*p3*p2*p1^3-1/20*p3*p1^5)-4864860*a*b^8*p1+a^6*(1/3*(-41351310+
116125697/6*W-31805419/12*W^2+253989/2*W^3-24305/12*W^4+35/3*W^5)*p3+1/2*(
16558404-33267677/6*W+2266823/4*W^2-135121/6*W^3+1437/4*W^4-2*W^5)*p2*p1+1/6*(-
4486896+7474979/6*W-1384723/12*W^2+18159/4*W^3-917/12*W^4+5/12*W^5)*p1^3)+a^8*(
1/7*(-1261260+72492*W-420*W^2)*p7+1/6*(289128-14616*W+84*W^2)*p6*p1+1/10*(
275520-9261*W+45*W^2)*p5*p2+1/10*(-63924+2775*W-15*W^2)*p5*p1^2+1/12*(291270-
6992*W+20*W^2)*p4*p3+1/8*(-56636+1644*W-6*W^2)*p4*p2*p1+1/24*(13296-470*W+2*W^2
)*p4*p1^3+1/18*(-55800+1200*W)*p3^2*p1+1/24*(-43770+900*W)*p3*p2^2+1/12*(10790-
240*W)*p3*p2*p1^2+1/72*(-2490+60*W)*p3*p1^4+1/48*(8640-162*W)*p2^3*p1+1/48*(-
2028+36*W)*p2^2*p1^3+1/240*(440-6*W)*p2*p1^5-1/60*p1^7)+a^9*(495*p8*p1-60*p7*p1
^2+180*p7*p2+280/3*p6*p3+14/3*p6*p1^3-27/4*p5*p2^2+777/10*p5*p4-1/4*p5*p1^4-35/
4*p4^2*p1+1/120*p4*p1^5-2002*p9-20*p5*p3*p1-42*p6*p2*p1+9/2*p5*p2*p1^2-5*p4*p3*
p2+9/8*p4*p2^2*p1+5/3*p4*p3*p1^2-1/4*p4*p2*p1^3)+a^7*(1/5*(-16396380+6037493/2*
W-549261/4*W^2+2905/2*W^3-15/4*W^4)*p5+1/4*(4658976-4048381/6*W+51673/2*W^2-
1553/6*W^3+1/2*W^4)*p4*p1+1/6*(5513760-655440*W+18013*W^2-145*W^3)*p3*p2+1/6*(-
1151940+415376/3*W-4505*W^2+115/3*W^3)*p3*p1^2+1/8*(-1178920+246723/2*W-3363*W^
2+51/2*W^3)*p2^2*p1+1/12*(251208-52701/2*W+760*W^2-11/2*W^3)*p2*p1^3+1/120*(-
53880+32569/6*W-149*W^2+5/6*W^3)*p1^5)
[4, 4, 4]
a^2*b^6*(895860-320580*W+360*W^2)*p1+a^4*b^4*(1/3*(5247198-666819*W+1476*W^2)*
p3+1/2*(-514582+5528*W-12*W^2)*p2*p1+1/6*(2244-24*W)*p1^3)+a^3*b^5*(1/2*(-
3860044+729400*W-1420*W^2)*p2+1/2*(395824-2356*W+4*W^2)*p1^2)+a^6*b^2*(1/5*(
1113900-87330*W+195*W^2)*p5+1/4*(-90670+1540*W)*p4*p1+1/6*(-155904+4032*W-18*W^
2)*p3*p2+1/6*(1380-24*W)*p3*p1^2+1/8*(3564-72*W)*p2^2*p1)+a^5*b^3*(1/4*(-
3335408+320690*W-710*W^2)*p4+1/3*(296394-4326*W+6*W^2)*p3*p1+1/8*(419064-7884*W
+36*W^2)*p2^2+1/4*(-3384+48*W)*p2*p1^2)+a^7*b*(1/6*(-192612+12999*W-21*W^2)*p6+
1/5*(14925-390*W)*p5*p1+1/8*(26400-360*W)*p4*p2+1/18*(40428-2061*W+9*W^2)*p3^2+
1/6*(-1242+36*W)*p3*p2*p1-27*p2^3)+a^4*b^2*(1721340-3501231/2*W+2386613/6*W^2-
49097/2*W^3+1459/6*W^4-W^5)*p1+a^3*b^4*(2202480-4600816/3*W+165985*W^2-2114/3*W
^3+W^4)*p1+a*b^7*(-56700*W+56700*W^2)+a^2*b^5*(-335910*W+385470*W^2-49650*W^3+
90*W^4)+a^2*b^7*(-331920*p2+360*p1^2)+a^5*b*(1/2*(-2502268+1521666*W-243559*W^2
+11647*W^3-72*W^4)*p2+1/2*(828170-284429*W+24155*W^2-548*W^3+4*W^4)*p1^2)+a^6*b
*(1/4*(-1915784+402680*W-19250*W^2+60*W^3)*p4+1/3*(369072-44019*W+1110*W^2-6*W^
3)*p3*p1+1/8*(491004-54036*W+648*W^2)*p2^2+1/4*(-33090+1560*W-24*W^2)*p2*p1^2)+
a^5*b^2*(1/3*(5480580-1494161*W+175071/2*W^2-517*W^3+3/2*W^4)*p3+1/2*(-1140198+
148170*W-2412*W^2+12*W^3)*p2*p1+1/6*(83814-2664*W+24*W^2)*p1^3)+a^4*b^3*(1/2*(-
6296792+2477640*W-186584*W^2+1004*W^3-3*W^4)*p2+1/2*(1342512-214173*W+2488*W^2-
8*W^3)*p1^2)+a^3*b^3*(-1667039/3*W+2188651/3*W^2-370285/2*W^3+22659/2*W^4-347/6
*W^5+1/6*W^6)+a^4*b*(-2224921/10*W+665717/2*W^2-1005437/8*W^3+31955/2*W^4-26731
/40*W^5+4*W^6)+a^3*b^6*(1192580/3*p3-1420*p2*p1+4/3*p1^3)+a^4*b^5*(-260823*p4+
984*p3*p1+1320*p2^2-6*p2*p1^2)+a^6*b^3*(-26796*p6+78*p5*p1+1065/2*p4*p2+402*p3^
2-6*p3*p2*p1-9/2*p2^3)+a^5*b^4*(104659*p5-355*p4*p1-1646*p3*p2+2*p3*p1^2+9*p2^2
*p1)+a^5*(207900-825578/3*W+294994/3*W^2-38236/3*W^3+1844/3*W^4-8*W^5)*p1+a^7*b
^2*(4352*p7-7*p6*p1-117*p5*p2-355/2*p4*p3+p3^2*p1+9/2*p3*p2^2)+a^8*b*(-417*p8+
21/2*p6*p2+39*p5*p3-3/2*p3^2*p2)+113400*a*b^8*p1+a^8*(1/7*(13860-840*W)*p7+1/6*
(-1071+42*W)*p6*p1-168*p5*p2+1/12*(-3660+180*W)*p4*p3+1/18*(387-18*W)*p3^2*p1+9
*p3*p2^2)+a^9*(1/6*p3^3-7/2*p6*p3+55/3*p9)+a^7*(1/5*(239085-41580*W+1680*W^2)*
p5+1/4*(-43420+4860*W-120*W^2)*p4*p1+1/6*(-65577+7074*W-144*W^2)*p3*p2+1/6*(
5001-468*W+12*W^2)*p3*p1^2+1/8*(4824-144*W)*p2^2*p1)+a^6*(1/3*(786390-340378*W+
42642*W^2-1736*W^3+12*W^4)*p3+1/2*(-260129+71496*W-5244*W^2+96*W^3)*p2*p1+1/6*(
43821-7810*W+420*W^2-8*W^3)*p1^3)
[4, 4, 3, 2]
a^5*(-4989600+20291194/3*W-7570451/3*W^2+1060468/3*W^3-61247/3*W^4+1450/3*W^5-
14/3*W^6)*p1+a^2*b^5*(7978485*W-9186120*W^2+1210695*W^3-3060*W^4)+a^7*b*(1/6*(
5758956-807597/2*W+3801/2*W^2)*p6+1/5*(-654270+51795/2*W-255/2*W^2)*p5*p1+1/8*(
-949920+28060*W-100*W^2)*p4*p2+1/8*(44040-920*W)*p4*p1^2+1/18*(-1126044+86445/2
*W-621/2*W^2)*p3^2+1/6*(75558-2517*W+15*W^2)*p3*p2*p1+1/18*(-1494+36*W)*p3*p1^3
+1/48*(84528-1728*W)*p2^3+1/16*(-4032+96*W)*p2^2*p1^2)+a^4*b^4*(1/3*(-133512588
+17616096*W-54333*W^2)*p3+1/2*(14875508-406808*W+1572*W^2)*p2*p1+1/6*(-492420+
5790*W-18*W^2)*p1^3)+a^5*b^3*(1/4*(88868112-8893115*W+33135*W^2)*p4+1/3*(-
9670962+309285*W-1344*W^2)*p3*p1+1/8*(-12019440+282974*W-1262*W^2)*p2^2+1/4*(
455884-8248*W+32*W^2)*p2*p1^2+1/24*(-7440+96*W)*p1^4)+a^6*b^2*(1/5*(-31325520+
5112375/2*W-22305/2*W^2)*p5+1/4*(3432860-122415*W+575*W^2)*p4*p1+1/6*(4735800-
134466*W+696*W^2)*p3*p2+1/6*(-207276+4026*W-12*W^2)*p3*p1^2+1/8*(-266648+7330*W
-42*W^2)*p2^2*p1+1/12*(6972-120*W)*p2*p1^3)+a^4*b^2*(-41199660+128865529/3*W-
61313519/6*W^2+8401697/12*W^3-139259/12*W^4+341/4*W^5-1/4*W^6)*p1+a^3*b^4*(-
52613820+37616612*W-8641781/2*W^2+39982*W^3-229/2*W^4)*p1+a^2*b^6*(-21372120+
7867080*W-33030*W^2)*p1+a^4*b^3*(1/2*(154568070-62819683*W+4962920*W^2-39080*W^
3+106*W^4)*p2+1/2*(-35217426+19464404/3*W-174848*W^2+3886/3*W^3-3*W^4)*p1^2)+a^
3*b^5*(1/2*(94618572-18480518*W+47998*W^2)*p2+1/2*(-10658658+298886*W-778*W^2)*
p1^2)+a^6*b*(1/4*(51345156-11249210*W+588520*W^2-5310*W^3+10*W^4)*p4+1/3*(-
11105310+2950157/2*W-91005/2*W^2+943/2*W^3-3/2*W^4)*p3*p1+1/8*(-14301060+
1790304*W-43588*W^2+304*W^3)*p2^2+1/4*(1444212-116634*W+2650*W^2-20*W^3)*p2*p1^
2+1/24*(-90372+3792*W-48*W^2)*p1^4)+a^5*b^2*(1/3*(-139837440+79178341/2*W-
2457906*W^2+43379/2*W^3-63*W^4)*p3+1/2*(31685609-14109842/3*W+127250*W^2-3550/3
*W^3+4*W^4)*p2*p1+1/6*(-3312015+256314*W-4290*W^2+24*W^3)*p1^3)+a^3*b^6*(-
10111626*p3+165444*p2*p1-366*p1^3)+a^2*b^7*(8137350*p2-53820*p1^2)+a*b^7*(
1351350*W-1351350*W^2)+a^3*b^3*(13151119*W-208527013/12*W^2+54150077/12*W^3-
1731439/6*W^4+26455/12*W^5-23/4*W^6)+a^4*b*(26237292/5*W-23785498/3*W^2+
12286159/4*W^3-9835609/24*W^4+1175431/60*W^5-2189/8*W^6+4/3*W^7)+a^5*b*(1/2*(
61646784-77454021/2*W+19567901/3*W^2-1061477/3*W^3+30575/6*W^4-76/3*W^5)*p2+1/2
*(-21495720+47977205/6*W-4756301/6*W^2+78338/3*W^3-1100/3*W^4+2*W^5)*p1^2)+a^4*
b^5*(6936117*p4-169800*p3*p1-41460*p2^2+1360*p2*p1^2-2*p1^4)+a^5*b^4*(-2929098*
p5+196105/2*p4*p1+51173*p3*p2-812*p3*p1^2-2465/2*p2^2*p1+8*p2*p1^3)+a^6*b^3*(
793632*p6-33915*p5*p1-41745/2*p4*p2+555/2*p4*p1^2-9444*p3^2+1177*p3*p2*p1-2*p3*
p1^3+303/2*p2^3-21/2*p2^2*p1^2)+a^7*b^2*(-137028*p7+14147/2*p6*p1+5289*p5*p2-51
*p5*p1^2+4725*p4*p3-675/2*p4*p2*p1-325/2*p3^2*p1-154*p3*p2^2+5*p3*p2*p1^2+9/2*
p2^3*p1)+a^8*b*(14013*p8-840*p7*p1-1407/2*p6*p2+7/2*p6*p1^2-858*p5*p3+57*p5*p2*
p1-225*p4^2+50*p4*p3*p1+15*p4*p2^2+81/2*p3^2*p2-1/2*p3^2*p1^2-3*p3*p2^2*p1)-
2702700*a*b^8*p1+a^8*(1/7*(-443520+27846*W-126*W^2)*p7+1/6*(53340-4641/2*W+21/2
*W^2)*p6*p1+1/10*(78960-2400*W)*p5*p2+1/10*(-4020+120*W)*p5*p1^2+1/12*(106440-
4470*W+30*W^2)*p4*p3+1/8*(-6720+200*W)*p4*p2*p1+1/18*(-11988+1125/2*W-9/2*W^2)*
p3^2*p1+1/24*(-10920+288*W)*p3*p2^2+1/12*(660-24*W)*p3*p2*p1^2+9*p2^3*p1)+a^7*(
1/5*(-6805260+1234555*W-56955*W^2+500*W^3)*p5+1/4*(1436580-177840*W+5690*W^2-50
*W^3)*p4*p1+1/6*(2060436-242309*W+6741*W^2-52*W^3)*p3*p2+1/6*(-217464+20337*W-
603*W^2+6*W^3)*p3*p1^2+1/8*(-263892+20924*W-420*W^2)*p2^2*p1+1/12*(18882-1224*W
+24*W^2)*p2*p1^3)+a^6*(1/3*(-20188080+9097631*W-1212409*W^2+57408*W^3-854*W^4+4
*W^5)*p3+1/2*(7128120-12803147/6*W+1116893/6*W^2-17423/3*W^3+200/3*W^4)*p2*p1+1
/6*(-1398312+582669/2*W-37989/2*W^2+528*W^3-6*W^4)*p1^3)+a^9*(-660*p9-6*p5*p3*
p1-7/2*p6*p2*p1-5*p4*p3*p2+1/2*p3^2*p2*p1-2*p3^3+45*p8*p1+36*p7*p2+30*p5*p4+70*
p6*p3)
[4, 4, 2, 2, 2]
a^4*b^2*(66775410-212784287/3*W+208618465/12*W^2-5030335/4*W^3+71075/3*W^4-1603
/12*W^5+1/4*W^6)*p1+a^3*b^4*(85140720-186395765/3*W+7465646*W^2-294499/3*W^3+
207*W^4)*p1+a^2*b^6*(34549200-13004880*W+99330*W^2)*p1+a^9*(1430*p9+21*p5*p3*p1
+21/4*p6*p2*p1-5/2*p4*p3*p1^2+15/2*p4*p3*p2-3/4*p3^2*p2*p1+1/12*p3^2*p1^3+5/3*
p3^3-287/3*p6*p3+18*p7*p1^2-54*p7*p2-495/2*p8*p1-105*p5*p4-7/12*p6*p1^3+25/2*p4
^2*p1)+a^8*(1/7*(900900-55566*W+126*W^2)*p7+1/6*(-169197+17325/2*W-21/2*W^2)*p6
*p1+1/10*(-162960+5040*W)*p5*p2+1/10*(28980-1260*W)*p5*p1^2+1/12*(-206880+7590*
W-30*W^2)*p4*p3+1/8*(24920-780*W)*p4*p2*p1+1/24*(-4440+180*W)*p4*p1^3+1/18*(
31665-2481/2*W+9/2*W^2)*p3^2*p1+1/24*(15804-432*W)*p3*p2^2+1/12*(-3216+108*W)*
p3*p2*p1^2+1/72*(564-24*W)*p3*p1^4-27/2*p2^3*p1+3/2*p2^2*p1^3)+a^7*b^2*(273412*
p7-66045/2*p6*p1-7914*p5*p2+1602*p5*p1^2-26855/3*p4*p3+3665/4*p4*p2*p1-415/12*
p4*p1^3+4189/6*p3^2*p1+393/2*p3*p2^2-121/2*p3*p2*p1^2+1/3*p3*p1^4-27/4*p2^3*p1+
3/4*p2^2*p1^3)+a^7*(1/5*(12792780-2320115*W+103215*W^2-700*W^3)*p5+1/4*(-
3272550+1350500/3*W-15810*W^2+310/3*W^3)*p4*p1+1/6*(-4020012+458193*W-10953*W^2
+60*W^3)*p3*p2+1/6*(695016-77297*W+2287*W^2-14*W^3)*p3*p1^2+1/8*(695770-61728*W
+1188*W^2)*p2^2*p1+1/12*(-116796+10398*W-228*W^2)*p2*p1^3+1/120*(19470-1720*W+
40*W^2)*p1^5)+a^5*b^3*(1/4*(-157672008+15951185*W-39905*W^2)*p4+1/3*(21148113-
1044902*W+2891*W^2)*p3*p1+1/8*(21772660-431022*W+1410*W^2)*p2^2+1/4*(-1756156+
51806*W-164*W^2)*p2*p1^2+1/24*(124980-2888*W+8*W^2)*p1^4)+a^3*b^5*(1/2*(-
156624800+31193660*W-60908*W^2)*p2+1/2*(19477866-1035268*W+4680*W^2)*p1^2)+a^4*
b^4*(1/3*(228122094-30605922*W+67140*W^2)*p3+1/2*(-28895526+1263740*W-3208*W^2)
*p2*p1+1/6*(1955172-61356*W+216*W^2)*p1^3)+a^6*(1/3*(34942050-47926349/3*W+
2127717*W^2-289816/3*W^3+1182*W^4-4*W^5)*p3+1/2*(-13292583+25348775/6*W-795467/
2*W^2+40007/3*W^3-140*W^4)*p2*p1+1/6*(3241899-4924615/6*W+134705/2*W^2-6640/3*W
^3+26*W^4)*p1^3)+a^6*b^2*(1/5*(57978670-9486465/2*W+25485/2*W^2)*p5+1/4*(-
8531370+441335*W-1155*W^2)*p4*p1+1/6*(-8858370+215235*W-747*W^2)*p3*p2+1/6*(
963182-35123*W+111*W^2)*p3*p1^2+1/8*(753220-16770*W+54*W^2)*p2^2*p1+1/12*(-
74352+1932*W-6*W^2)*p2*p1^3+1/120*(4760-80*W)*p1^5)+a^7*b*(1/6*(-11155620+
1552887/2*W-4095/2*W^2)*p6+1/5*(1844020-191505/2*W+405/2*W^2)*p5*p1+1/8*(
1859540-52620*W+120*W^2)*p4*p2+1/8*(-260980+10640*W-20*W^2)*p4*p1^2+1/18*(
2127744-131619/2*W+579/2*W^2)*p3^2+1/6*(-224295+6456*W-18*W^2)*p3*p2*p1+1/18*(
30213-1083*W+3*W^2)*p3*p1^3+1/48*(-123552+2592*W)*p2^3+1/16*(18264-432*W)*p2^2*
p1^2+1/48*(-1752+48*W)*p2*p1^4)+a^5*b^2*(1/3*(239877610-413815363/6*W+4237237*W
^2-165629/6*W^3+59*W^4)*p3+1/2*(-59383570+29370746/3*W-655763/2*W^2+6517/3*W^3-
9/2*W^4)*p2*p1+1/6*(8648914-3129968/3*W+61343/2*W^2-727/3*W^3+1/2*W^4)*p1^3)+a^
4*b^3*(1/2*(-256293644+318197957/3*W-8394279*W^2+150496/3*W^3-106*W^4)*p2+1/2*(
62728800-39753325/3*W+550057*W^2-15170/3*W^3+12*W^4)*p1^2)+a^2*b^7*(-13467930*
p2+184380*p1^2)+a^3*b^6*(17254946*p3-556160*p2*p1+3894*p1^3)+a^4*b^5*(-12262668
*p4+629986*p3*p1+61127*p2^2-11513*p2*p1^2+50*p1^4)+a^6*b*(1/4*(-91850664+
60942050/3*W-1038710*W^2+21430/3*W^3-10*W^4)*p4+1/3*(22773982-6765363/2*W+
237715/2*W^2-1699/2*W^3+3/2*W^4)*p3*p1+1/8*(26537176-3289824*W+70860*W^2-384*W^
3)*p2^2+1/4*(-3982748+426738*W-11206*W^2+64*W^3)*p2*p1^2+1/24*(567928-53508*W+
1352*W^2-8*W^3)*p1^4)+a^6*b^3*(-1519224*p6+146245*p5*p1+32465*p4*p2-11065/2*p4*
p1^2+16232*p3^2-3308*p3*p2*p1+102*p3*p1^3-387/2*p2^3+69*p2^2*p1^2-p2*p1^4)+a^5*
b*(1/2*(-102656640+196661812/3*W-44490851/4*W^2+3529579/6*W^3-28327/4*W^4+28*W^
5)*p2+1/2*(38076810-15317350*W+20882263/12*W^2-423083/6*W^3+12407/12*W^4-14/3*W
^5)*p1^2)+a^5*b^4*(5383276*p5-392815*p4*p1-235505/3*p3*p2+32681/3*p3*p1^2+2999*
p2^2*p1-439/3*p2*p1^3+1/3*p1^5)+a^2*b^5*(-12846995*W+14814030*W^2-1970605*W^3+
3570*W^4)+a^3*b^3*(-63296710/3*W+335459749/12*W^2-29266105/4*W^3+1389167/3*W^4-
31325/12*W^5+21/4*W^6)+a*b^7*(-2182950*W+2182950*W^2)+a^8*b*(-29142*p8+4264*p7*
p1+1029*p6*p2-511/2*p6*p1^2+1414*p5*p3-243/2*p5*p2*p1+13/2*p5*p1^3+725*p4^2-270
*p4*p3*p1-45/2*p4*p2^2+15/2*p4*p2*p1^2-49*p3^2*p2+25/2*p3^2*p1^2+9/2*p3*p2^2*p1
-1/2*p3*p2*p1^3)+a^5*(8108100-33532096/3*W+38472203/9*W^2-617968*W^3+334337/9*W
^4-2738/3*W^5+74/9*W^6)*p1+a^4*b*(-125754079/15*W+457708895/36*W^2-119048005/24
*W^3+47504605/72*W^4-3639583/120*W^5+25045/72*W^6-4/3*W^7)+4365900*a*b^8*p1
[4, 3, 3, 3]
a^3*b^3*(3898305*W-62115985/12*W^2+32906521/24*W^3-2265157/24*W^4+31439/24*W^5-
51/8*W^6)+a^4*b*(15576559/10*W-56950969/24*W^2+15077859/16*W^3-6469765/48*W^4+
238043/30*W^5-1297/6*W^6+151/48*W^7-1/48*W^8)+a^6*b*(1/4*(15262836-3485590*W+
419125/2*W^2-3970*W^3+55/2*W^4)*p4+1/3*(-3027264+1442529/4*W-64761/8*W^2+357/4*
W^3-3/8*W^4)*p3*p1+1/8*(-4530288+681516*W-30671*W^2+612*W^3-5*W^4)*p2^2+1/4*(
336216-20824*W+448*W^2-4*W^3)*p2*p1^2+1/24*(-7416+144*W)*p1^4)+a^5*b^2*(1/3*(-
41447562+24125263/2*W-1635669/2*W^2+25493/2*W^3-141/2*W^4)*p3+1/2*(9086670-
1318239*W+139913/4*W^2-871/2*W^3+9/4*W^4)*p2*p1+1/6*(-719958+54933/2*W-879/2*W^
2+3*W^3)*p1^3)+a^5*(-1478400+2015859*W-18383765/24*W^2+5399119/48*W^3-354869/48
*W^4+3957/16*W^5-75/16*W^6+1/24*W^7)*p1+a^5*b*(1/2*(18233952-11677114*W+
25010845/12*W^2-1090741/8*W^3+91957/24*W^4-451/8*W^5+3/8*W^6)*p2+1/2*(-6156528+
4423927/2*W-799901/4*W^2+5371*W^3-303/4*W^4+1/2*W^5)*p1^2)+a*b^7*(400400*W-
400400*W^2)+a^2*b^5*(2364000*W-2728320*W^2+366000*W^3-1680*W^4)+a^8*b*(4518*p8-
36*p7*p1-511*p6*p2-154*p5*p3+6*p5*p2*p1-225/2*p4^2+5/2*p4*p3*p1+30*p4*p2^2+11*
p3^2*p2-1/2*p3*p2^2*p1-1/2*p2^4)+a^4*b^2*(-12213040+76774853/6*W-18518087/6*W^2
+5270797/24*W^3-4371*W^4+333/8*W^5-1/6*W^6)*p1+a^3*b^4*(-15594880+67196495/6*W-
5179223/4*W^2+71209/6*W^3-153/4*W^4)*p1+a^2*b^6*(-6333600+2341600*W-6720*W^2)*
p1+a^3*b^5*(1/2*(28055220-5566321*W+25485*W^2)*p2+1/2*(-3029804+36993*W-153*W^2
)*p1^2)+a^4*b^4*(1/3*(-39670242+10742555/2*W-59141/2*W^2)*p3+1/2*(4193182-78200
*W+445*W^2)*p2*p1+1/6*(-54834+697*W-4*W^2)*p1^3)+a^5*b^3*(1/4*(26536512-2757920
*W+20500*W^2)*p4+1/3*(-2540670+38939*W-282*W^2)*p3*p1+1/8*(-3891144+148014*W-
1202*W^2)*p2^2+1/4*(76706-1291*W+9*W^2)*p2*p1^2+1/24*(-780+8*W)*p1^4)+a^6*b^2*(
1/5*(-9440310+1619785/2*W-15235/2*W^2)*p5+1/4*(836300-13780*W+110*W^2)*p4*p1+1/
6*(1575354-123645/2*W+1245/2*W^2)*p3*p2+1/6*(-20784+555/2*W-3/2*W^2)*p3*p1^2+1/
8*(-86396+2176*W-20*W^2)*p2^2*p1+1/12*(966-12*W)*p2*p1^3)+a^7*b*(1/6*(1761228-
131411*W+1505*W^2)*p6+1/5*(-144180+2155*W-15*W^2)*p5*p1+1/8*(-362520+18370*W-
230*W^2)*p4*p2+1/8*(3860-40*W)*p4*p1^2+1/18*(-319500+8199*W-99*W^2)*p3^2+1/6*(
18336-375*W+3*W^2)*p3*p2*p1-3*p3*p1^3+1/48*(64656-3140*W+44*W^2)*p2^3+1/16*(-
968+16*W)*p2^2*p1^2)+a^4*b^5*(2077722*p4-59141/3*p3*p1-39927/2*p2^2+445/2*p2*p1
^2-1/3*p1^4)+a^2*b^7*(2414400*p2-6720*p1^2)+a^3*b^6*(-3009964*p3+25485*p2*p1-51
*p1^3)+a^4*b^3*(1/2*(45793818-18924234*W+6367615/4*W^2-22598*W^3+445/4*W^4)*p2+
1/2*(-10132778+3471327/2*W-29151*W^2+515/2*W^3-W^4)*p1^2)+a^5*b^4*(-886584*p5+
10250*p4*p1+22936*p3*p2-94*p3*p1^2-601/2*p2^2*p1+3/2*p2*p1^3)+a^6*b^3*(243936*
p6-3047*p5*p1-11205*p4*p2+55/2*p4*p1^2-6364/3*p3^2+415/2*p3*p2*p1-1/6*p3*p1^3+
129*p2^3-5/2*p2^2*p1^2)+a^7*b^2*(-43008*p7+1505/3*p6*p1+3186*p5*p2-3*p5*p1^2+
1165*p4*p3-115/2*p4*p2*p1-11*p3^2*p1-227/2*p3*p2^2+1/2*p3*p2*p1^2+11/6*p2^3*p1)
-800800*a*b^8*p1+a^7*(1/5*(-2037420+782295/2*W-88065/4*W^2+945/2*W^3-15/4*W^4)*
p5+1/4*(368280-39055*W+965*W^2-10*W^3)*p4*p1+1/6*(669708-185649/2*W+16689/4*W^2
-177/2*W^3+3/4*W^4)*p3*p2+1/6*(-35988+1173*W-9*W^2)*p3*p1^2+1/8*(-88632+8854*W-
298*W^2+4*W^3)*p2^2*p1+1/12*(2700-72*W)*p2*p1^3)+a^9*(36*p7*p2+28/3*p6*p3-220*
p9-5/2*p4*p3*p2-3*p5*p2^2+15*p5*p4+1/6*p3*p2^3)+a^6*(1/3*(-5953200+5541085/2*W-
3203665/8*W^2+379801/16*W^3-10749/16*W^4+159/16*W^5-1/16*W^6)*p3+1/2*(2028432-
1224089/2*W+226229/4*W^2-2270*W^3+199/4*W^4-1/2*W^5)*p2*p1+1/6*(-315648+48495*W
-1557*W^2+18*W^3)*p1^3)+a^8*(1/7*(-138600+9366*W-126*W^2)*p7+1/6*(10248-112*W)*
p6*p1+1/10*(36180-2070*W+30*W^2)*p5*p2-18*p5*p1^2+1/12*(30420-1035*W+15*W^2)*p4
*p3+1/8*(-2220+40*W)*p4*p2*p1-40*p3^2*p1+1/24*(-7776+390*W-6*W^2)*p3*p2^2+3*p3*
p2*p1^2+1/48*(600-16*W)*p2^3*p1)
[4, 3, 3, 2, 2]
a^4*b^2*(178121580-1139609977/6*W+188324195/4*W^2-10499740/3*W^3+598935/8*W^4-
733*W^5+23/8*W^6)*p1+a^5*(21621600-359288593/12*W+23213769/2*W^2-83261125/48*W^
3+5449597/48*W^4-56875/16*W^5+2891/48*W^6-11/24*W^7)*p1+a^9*(-4*p3^2*p2*p1+1/4*
p3*p2^2*p1^2-3/4*p3*p2^3+8*p3^3+4290*p9+56*p6*p2*p1+45*p5*p3*p1-3*p5*p2*p1^2-
414*p7*p2-495*p8*p1+39/2*p5*p2^2-350*p6*p3+18*p7*p1^2-495/2*p5*p4+25/2*p4^2*p1-
5/2*p4*p2^2*p1-5/4*p4*p3*p1^2+155/4*p4*p3*p2)+a^3*b^4*(227101560-332676803/2*W+
80347133/4*W^2-513793/2*W^3+3787/4*W^4)*p1+a^5*b^2*(1/3*(639821637-753602065/4*
W+99415401/8*W^2-567311/4*W^3+4455/8*W^4)*p3+1/2*(-154544679+151587623/6*W-
3485811/4*W^2+63817/6*W^3-189/4*W^4)*p2*p1+1/6*(19400283-4005605/2*W+212355/4*W
^2-1177/2*W^3+9/4*W^4)*p1^3)+a^2*b^6*(92143800-34813680*W+220200*W^2)*p1+a^4*b^
3*(1/2*(-683437080+860203135/3*W-95200317/4*W^2+724178/3*W^3-3415/4*W^4)*p2+1/2
*(163755978-66398423/2*W+1209567*W^2-26081/2*W^3+53*W^4)*p1^2)+a^5*b^3*(1/4*(-
423207212+44358680*W-224720*W^2)*p4+1/3*(52304613-4422789/2*W+25203/2*W^2)*p3*
p1+1/8*(61290244-1755310*W+10210*W^2)*p2^2+1/4*(-3636862+98266*W-634*W^2)*p2*p1
^2+1/24*(170376-3174*W+18*W^2)*p1^4)+a^4*b^4*(1/3*(609794598-167503533/2*W+
659625/2*W^2)*p3+1/2*(-74226886+2813959*W-13438*W^2)*p2*p1+1/6*(3810474-91848*W
+441*W^2)*p1^3)+a^3*b^5*(1/2*(-417939516+84380091*W-276915*W^2)*p2+1/2*(
50348988-2101323*W+9291*W^2)*p1^2)+a^6*b^2*(1/5*(156843780-26946615/2*W+168915/
2*W^2)*p5+1/4*(-20364580+932590*W-6460*W^2)*p4*p1+1/6*(-25629282+1661055/2*W-
11571/2*W^2)*p3*p2+1/6*(1802418-105783/2*W+783/2*W^2)*p3*p1^2+1/8*(2084550-
66690*W+498*W^2)*p2^2*p1+1/12*(-124290+3129*W-21*W^2)*p2*p1^3+1/120*(4050-60*W)
*p1^5)+a^8*(1/7*(2522520-167706*W+1386*W^2)*p7+1/6*(-381696+18816*W-168*W^2)*p6
*p1+1/10*(-549240+23400*W-180*W^2)*p5*p2+1/10*(45660-1635*W+15*W^2)*p5*p1^2+1/
12*(-615540+24345*W-225*W^2)*p4*p3+1/8*(70270-2720*W+20*W^2)*p4*p2*p1+1/24*(-
3450+60*W)*p4*p1^3+1/18*(77778-3276*W+36*W^2)*p3^2*p1+1/24*(96396-3552*W+24*W^2
)*p3*p2^2+1/12*(-8340+327*W-3*W^2)*p3*p2*p1^2+3/2*p3*p1^4+1/48*(-11604+360*W)*
p2^3*p1+1/48*(804-24*W)*p2^2*p1^3)+a^7*(1/5*(34324290-26280545/4*W+2703795/8*W^
2-19435/4*W^3+165/8*W^4)*p5+1/4*(-8051250+3295690/3*W-84785/2*W^2+1835/3*W^3-5/
2*W^4)*p4*p1+1/6*(-11210814+5792141/4*W-406827/8*W^2+2803/4*W^3-21/8*W^4)*p3*p2
+1/6*(1446210-600987/4*W+40509/8*W^2-309/4*W^3+3/8*W^4)*p3*p1^2+1/8*(1823328-
564196/3*W+6244*W^2-224/3*W^3)*p2^2*p1+1/12*(-197496+16509*W-495*W^2+6*W^3)*p2*
p1^3+1/120*(12060-360*W)*p1^5)+a^7*b*(1/6*(-30582426+2265837*W-16737*W^2)*p6+1/
5*(4266465-409155/2*W+3315/2*W^2)*p5*p1+1/8*(5721500-217490*W+1670*W^2)*p4*p2+1
/8*(-449580+14440*W-120*W^2)*p4*p1^2+1/18*(6116742-211401*W+1809*W^2)*p3^2+1/6*
(-603387+43473/2*W-369/2*W^2)*p3*p2*p1+1/18*(34857-1521/2*W+9/2*W^2)*p3*p1^3+1/
48*(-715704+23940*W-180*W^2)*p2^3+1/16*(58040-1976*W+16*W^2)*p2^2*p1^2+1/48*(-
2496+48*W)*p2*p1^4)+a^6*(1/3*(92844180-43505006*W+49236439/8*W^2-5244795/16*W^3
+109375/16*W^4-1045/16*W^5+3/16*W^6)*p3+1/2*(-34490394+132996937/12*W-26234891/
24*W^2+88369/2*W^3-21061/24*W^4+89/12*W^5)*p2*p1+1/6*(7509402-7052493/4*W+
1084251/8*W^2-4773*W^3+717/8*W^4-3/4*W^5)*p1^3)+a^2*b^7*(-35960280*p2+371400*p1
^2)+a^4*b^5*(-33022817*p4+1266257*p3*p1+479209/2*p2^2-38635/2*p2*p1^2+63*p1^4)+
a^3*b^6*(46206150*p3-1158819*p2*p1+5865*p1^3)+a^6*b*(1/4*(-245412216+168999890/
3*W-6394545/2*W^2+125200/3*W^3-355/2*W^4)*p4+1/3*(57741330-33737145/4*W+2470077
/8*W^2-16773/4*W^3+159/8*W^4)*p3*p1+1/8*(72860964-30182807/3*W+654999/2*W^2-
12667/3*W^3+37/2*W^4)*p2^2+1/4*(-9069660+5529941/6*W-112425/4*W^2+2275/6*W^3-7/
4*W^4)*p2*p1^2+1/24*(896628-64086*W+1386*W^2-12*W^3)*p1^4)+a^5*b^4*(14635836*p5
-784535*p4*p1-300073*p3*p2+15765*p3*p1^2+10616*p2^2*p1-455/2*p2*p1^3+1/2*p1^5)+
a^3*b^3*(-56279747*W+299470199/4*W^2-159248449/8*W^3+10650601/8*W^4-104935/8*W^
5+361/8*W^6)+a^4*b*(-671554997/30*W+819598141/24*W^2-216909631/16*W^3+90701995/
48*W^4-11930857/120*W^5+3825/2*W^6-283/16*W^7+1/16*W^8)+a^5*b*(1/2*(-273415074+
1062482353/6*W-93866863/3*W^2+22403639/12*W^3-445877/12*W^4+4199/12*W^5-5/4*W^6
)*p2+1/2*(99340374-236345417/6*W+52381069/12*W^2-1426235/8*W^3+82435/24*W^4-811
/24*W^5+1/8*W^6)*p1^2)+a^2*b^5*(-34257320*W+39584550*W^2-5344480*W^3+17250*W^4)
+a^6*b^3*(-4191334*p6+291849*p5*p1+277945/2*p4*p2-7560*p4*p1^2+46654*p3^2-21387
/2*p3*p2*p1+209/2*p3*p1^3-4873/4*p2^3+439/2*p2^2*p1^2-7/4*p2*p1^4)+a*b^7*(-
5821200*W+5821200*W^2)+a^7*b^2*(770148*p7-65989*p6*p1-39363*p5*p2+2058*p5*p1^2-
50565/2*p4*p3+7395/2*p4*p2*p1-55/2*p4*p1^3+1318*p3^2*p1+4879/4*p3*p2^2-297/2*p3
*p2*p1^2+1/4*p3*p1^4-53*p2^3*p1+2*p2^2*p1^3)+a^8*b*(-84393*p8+8532*p7*p1+12341/
2*p6*p2-595/2*p6*p1^2+4416*p5*p3-711*p5*p2*p1+3*p5*p1^3+3425/2*p4^2-935/2*p4*p3
*p1-965/4*p4*p2^2+125/4*p4*p2*p1^2-461/2*p3^2*p2+19/2*p3^2*p1^2+35*p3*p2^2*p1-1
/2*p3*p2*p1^3+9/4*p2^4-3/4*p2^3*p1^2)+11642400*a*b^8*p1
[4, 3, 2, 2, 2, 2]
a^3*b^4*(-396016740+886897615/3*W-148468419/4*W^2+3526831/6*W^3-7827/4*W^4)*p1+
a^5*b*(1/2*(489046284-644215973/2*W+115281601/2*W^2-81745055/24*W^3+494057/8*W^
4-12253/24*W^5+11/8*W^6)*p2+1/2*(-186757950+78851684*W-19349179/2*W^2+5449987/
12*W^3-36885/4*W^4+1025/12*W^5-1/4*W^6)*p1^2)+a*b^7*(10135125*W-10135125*W^2)+a
^2*b^5*(118926025/2*W-137680725/2*W^2+18807725/2*W^3-53025/2*W^4)+a^3*b^3*(
292080691/3*W-519815639/4*W^2+837841607/24*W^3-18692633/8*W^4+486065/24*W^5-489
/8*W^6)+a^6*b*(1/4*(468228432-655610065/6*W+6166190*W^2-423425/6*W^3+255*W^4)*
p4+1/3*(-122316862+234669577/12*W-6369103/8*W^2+113543/12*W^3-289/8*W^4)*p3*p1+
1/8*(-143746696+39877051/2*W-1219777/2*W^2+13739/2*W^3-45/2*W^4)*p2^2+1/4*(
23370244-17035783/6*W+96861*W^2-7007/6*W^3+4*W^4)*p2*p1^2+1/24*(-3651184+
2371637/6*W-26029/2*W^2+949/6*W^3-1/2*W^4)*p1^4)+a^4*b^3*(1/2*(1218001600-
1562492468/3*W+174798195/4*W^2-1191277/3*W^3+4989/4*W^4)*p2+1/2*(-308939016+
415422745/6*W-6504295/2*W^2+242489/6*W^3-313/2*W^4)*p1^2)+a^5*b^2*(1/3*(-
1175433214+1058148247/3*W-93409307/4*W^2+1406305/6*W^3-3187/4*W^4)*p3+1/2*(
304430256-161836960/3*W+8521485/4*W^2-69512/3*W^3+347/4*W^4)*p2*p1+1/6*(-
47713222+38294681/6*W-456547/2*W^2+16825/6*W^3-23/2*W^4)*p1^3)+a^4*b*(
1157388049/30*W-4256184013/72*W^2+1136551081/48*W^3-476878775/144*W^4+20460259/
120*W^5-212395/72*W^6+379/16*W^7-1/16*W^8)+a^2*b^7*(64011525*p2-1006950*p1^2)+a
^3*b^6*(-84585068*p3+3151798*p2*p1-27639*p1^3)+a^4*b^5*(62473594*p4-3672752*p3*
p1-869659/2*p2^2+172349/2*p2*p1^2-555*p1^4)+a^5*b^4*(-28730116*p5+4805005/2*p4*
p1+1687939/3*p3*p2-251186/3*p3*p1^2-108629/4*p2^2*p1+5147/3*p2*p1^3-103/12*p1^5
)+a^5*(-37837800+319257857/6*W-506624231/24*W^2+155869937/48*W^3-10528895/48*W^
4+334729/48*W^5-1801/16*W^6+19/24*W^7)*p1+a^6*b^3*(8564234*p6-946827*p5*p1-
1071715/4*p4*p2+45610*p4*p1^2-93422*p3^2+88786/3*p3*p2*p1-3797/3*p3*p1^3+17367/
8*p2^3-866*p2^2*p1^2+607/24*p2*p1^4-1/12*p1^6)+a^7*b^2*(-1642000*p7+228102*p6*
p1+77639*p5*p2-14203*p5*p1^2+53515*p4*p3-42475/4*p4*p2*p1+510*p4*p1^3-4403*p3^2
*p1-13445/6*p3*p2^2+4327/6*p3*p2*p1^2-12*p3*p1^4+993/8*p2^3*p1-191/12*p2^2*p1^3
+5/24*p2*p1^5)+a^2*b^6*(-160533450+61932525*W-556500*W^2)*p1+a^4*b^2*(-
311026170+2024393201/6*W-1031790103/12*W^2+160635613/24*W^3-935869/6*W^4+11289/
8*W^5-19/4*W^6)*p1+a^8*b*(188091*p8-31626*p7*p1-12502*p6*p2+2422*p6*p1^2-9402*
p5*p3+4143/2*p5*p2*p1-213/2*p5*p1^3-16775/4*p4^2+21185/12*p4*p3*p1+3675/8*p4*p2
^2-655/4*p4*p2*p1^2+65/24*p4*p1^4+434*p3^2*p2-253/3*p3^2*p1^2-689/8*p3*p2^2*p1+
35/4*p3*p2*p1^3-1/24*p3*p1^5-27/8*p2^4+9/4*p2^3*p1^2-1/8*p2^2*p1^4)+a^3*b^5*(1/
2*(743866076-153309666*W+452188*W^2)*p2+1/2*(-96716674+5809469*W-34977*W^2)*p1^
2)+a^5*b^3*(1/4*(802403544-85613845*W+369585*W^2)*p4+1/3*(-115241843+12611081/2
*W-58929/2*W^2)*p3*p1+1/8*(-119539692+3250611*W-16375*W^2)*p2^2+1/4*(11075124-
400475*W+2147*W^2)*p2*p1^2+1/24*(-977036+31483*W-183*W^2)*p1^4)+a^4*b^4*(1/3*(-
1116911160+156545211*W-535584*W^2)*p3+1/2*(149816754-7486559*W+30342*W^2)*p2*p1
+1/6*(-11520030+444012*W-2493*W^2)*p1^3)+a^6*b^2*(1/5*(-309427330+53870145/2*W-
282315/2*W^2)*p5+1/4*(49246510-2803925*W+15500*W^2)*p4*p1+1/6*(51880156-1595656
*W+9340*W^2)*p3*p2+1/6*(-6264298+259462*W-1558*W^2)*p3*p1^2+1/8*(-5508230+
169229*W-1030*W^2)*p2^2*p1+1/12*(646498-21631*W+136*W^2)*p2*p1^3+1/120*(-64630+
1885*W-10*W^2)*p1^5)+a^7*b*(1/6*(63079296-4705176*W+28518*W^2)*p6+1/5*(-
11345605+1294085/2*W-8105/2*W^2)*p5*p1+1/8*(-12047900+439155*W-2765*W^2)*p4*p2+
1/8*(1799270-81870*W+530*W^2)*p4*p1^2+1/18*(-12913536+419721*W-2865*W^2)*p3^2+1
/6*(1711131-119857/2*W+781/2*W^2)*p3*p2*p1+1/18*(-248343+19137/2*W-129/2*W^2)*
p3*p1^3+1/48*(1406880-43929*W+243*W^2)*p2^3+1/16*(-218278+7362*W-42*W^2)*p2^2*
p1^2+1/48*(28356-935*W+5*W^2)*p2*p1^4+1/720*(-2610+60*W)*p1^6)-20270250*a*b^8*
p1+a^7*(1/5*(-68528460+79653455/6*W-1342785/2*W^2+25340/3*W^3-30*W^4)*p5+1/4*(
18570720-5541905/2*W+230225/2*W^2-1465*W^3+5*W^4)*p4*p1+1/6*(23183692-17911747/
6*W+195745/2*W^2-3493/3*W^3+3*W^4)*p3*p2+1/6*(-4240012+521107*W-76447/4*W^2+491
/2*W^3-3/4*W^4)*p3*p1^2+1/8*(-4561632+999331/2*W-31957/2*W^2+173*W^3)*p2^2*p1+1
/12*(817924-521161/6*W+5761/2*W^2-97/3*W^3)*p2*p1^3+1/120*(-141760+28215/2*W-
905/2*W^2+5*W^3)*p1^5)+a^6*(1/3*(-171861690+81894231*W-280356211/24*W^2+
29252333/48*W^3-552049/48*W^4+4579/48*W^5-3/16*W^6)*p3+1/2*(67781358-22917194*W
+14392957/6*W^2-302830/3*W^3+11363/6*W^4-44/3*W^5)*p2*p1+1/6*(-17346396+9435445
/2*W-5203253/12*W^2+53207/3*W^3-4183/12*W^4+17/6*W^5)*p1^3)+a^9*(870*p7*p2+1980
*p8*p1+2198/3*p6*p3-180*p7*p1^2-1/4*p5*p1^4-153/4*p5*p2^2+1295/2*p5*p4+28/3*p6*
p1^3-75*p4^2*p1+9/8*p3*p2^3-2/3*p3^2*p1^3-10010*p9-168*p6*p2*p1-160*p5*p3*p1+15
*p5*p2*p1^2-935/12*p4*p3*p2+35/2*p4*p3*p1^2+15/2*p4*p2^2*p1-5/6*p4*p2*p1^3+28/3
*p3^2*p2*p1+1/24*p3*p2*p1^4-3/4*p3*p2^2*p1^2-40/3*p3^3)+a^8*(1/7*(-5465460+
362775*W-2415*W^2)*p7+1/6*(1118292-62748*W+420*W^2)*p6*p1+1/10*(1207570-99015/2
*W+615/2*W^2)*p5*p2+1/10*(-212800+20495/2*W-135/2*W^2)*p5*p1^2+1/12*(1359470-
102125/2*W+725/2*W^2)*p4*p3+1/8*(-216870+8470*W-50*W^2)*p4*p2*p1+1/24*(36860-
1570*W+10*W^2)*p4*p1^3+1/18*(-234720+9234*W-66*W^2)*p3^2*p1+1/24*(-197986+13719
/2*W-63/2*W^2)*p3*p2^2+1/12*(36320-2791/2*W+15/2*W^2)*p3*p2*p1^2+1/72*(-5670+
459/2*W-3/2*W^2)*p3*p1^4+1/48*(30762-972*W)*p2^3*p1+1/48*(-4996+168*W)*p2^2*p1^
3+1/240*(590-20*W)*p2*p1^5)
[4, 2, 2, 2, 2, 2, 2]
a^2*b^6*(59968755-23601072*W+259425*W^2)*p1+a^3*b^3*(-108392261/3*W+581182681/
12*W^2-316567793/24*W^3+21530089/24*W^4-63373/8*W^5+183/8*W^6)+a^3*b^4*(
148057875-112550544*W+58532657/4*W^2-537631/2*W^3+3669/4*W^4)*p1+a^3*b^5*(1/2*(
-283340764+59712977*W-184083*W^2)*p2+1/2*(38965408-2813988*W+20964*W^2)*p1^2)+a
^4*b^4*(1/3*(436773948-62724634*W+218095*W^2)*p3+1/2*(-62851209+3664953*W-15218
*W^2)*p2*p1+1/6*(5921787-286714*W+1981*W^2)*p1^3)+a^5*b^3*(1/4*(-324057704+
35440790*W-155570*W^2)*p4+1/3*(51344787-3200688*W+14901*W^2)*p3*p1+1/8*(
50333288-1459638*W+7098*W^2)*p2^2+1/4*(-5901212+254331*W-1353*W^2)*p2*p1^2+1/24
*(688200-29028*W+204*W^2)*p1^4)+a^4*b^2*(116420850-256761097/2*W+403415651/12*W
^2-32849707/12*W^3+1677001/24*W^4-7799/12*W^5+49/24*W^6)*p1+a^7*b*(1/6*(-
27656496+2102310*W-13020*W^2)*p6+1/5*(5765924-357931*W+2286*W^2)*p5*p1+1/8*(
5584960-210600*W+1290*W^2)*p4*p2+1/8*(-1113500+57855*W-375*W^2)*p4*p1^2+1/18*(
5879160-186115*W+1171*W^2)*p3^2+1/6*(-959007+34431*W-204*W^2)*p3*p2*p1+1/18*(
196767-8794*W+55*W^2)*p3*p1^3+1/48*(-724248+22626*W-108*W^2)*p2^3+1/16*(156660-
5535*W+27*W^2)*p2^2*p1^2+1/48*(-31752+1248*W-6*W^2)*p2*p1^4+1/720*(6084-241*W+W
^2)*p1^6)+a^6*b^2*(1/5*(129806150-23126953/2*W+123523/2*W^2)*p5+1/4*(-23397973+
1483070*W-8255*W^2)*p4*p1+1/6*(-22780726+726707*W-4057*W^2)*p3*p2+1/6*(3576164-
172766*W+1006*W^2)*p3*p1^2+1/8*(2929877-95502*W+537*W^2)*p2^2*p1+1/12*(-468877+
18743*W-112*W^2)*p2*p1^3+1/120*(70445-2864*W+19*W^2)*p1^5)+a^5*b^2*(1/3*(
460620767-1697731045/12*W+76592925/8*W^2-1168337/12*W^3+2511/8*W^4)*p3+1/2*(-
125761634+142275137/6*W-4147939/4*W^2+34943/3*W^3-163/4*W^4)*p2*p1+1/6*(
22397150-20512505/6*W+576753/4*W^2-6056/3*W^3+33/4*W^4)*p1^3)+a^4*b^3*(1/2*(-
464381968+608294257/3*W-69628549/4*W^2+491408/3*W^3-1995/4*W^4)*p2+1/2*(
122988466-177135815/6*W+3187103/2*W^2-136765/6*W^3+179/2*W^4)*p1^2)+a^6*b*(1/4*
(-189953232+272552915/6*W-2617055*W^2+182065/6*W^3-105*W^4)*p4+1/3*(53338607-
36369323/4*W+3205347/8*W^2-19241/4*W^3+133/8*W^4)*p3*p1+1/8*(60647072-17432235/
2*W+279393*W^2-6297/2*W^3+9*W^4)*p2^2+1/4*(-11495902+1558141*W-237687/4*W^2+743
*W^3-9/4*W^4)*p2*p1^2+1/24*(2204684-566825/2*W+22443/2*W^2-315/2*W^3+1/2*W^4)*
p1^4)+a^4*b^5*(-25203074*p4+5536622/3*p3*p1+190633*p2^2-55235*p2*p1^2+1492/3*p1
^4)+a^3*b^6*(33079780*p3-1525026*p2*p1+17478*p1^3)+a^2*b^7*(-24391092*p2+477720
*p1^2)+a^5*(14189175-405040887/20*W+74046358/9*W^2-62778731/48*W^3+13303621/144
*W^4-745571/240*W^5+7507/144*W^6-3/8*W^7)*p1+a*b^7*(-3783780*W+3783780*W^2)+a^2
*b^5*(-44270831/2*W+51372315/2*W^2-7122049/2*W^3+20565/2*W^4)+a^4*b*(-142704983
/10*W+1583320547/72*W^2-142764777/16*W^3+182573857/144*W^4-7955279/120*W^5+
83723/72*W^6-439/48*W^7+1/48*W^8)+a^5*b*(1/2*(-187008384+376558733/3*W-45944025
/2*W^2+8336027/6*W^3-25895*W^4+425/2*W^5-1/2*W^6)*p2+1/2*(74120982-98464529/3*W
+17294377/4*W^2-5368145/24*W^3+39725/8*W^4-381/8*W^5+1/8*W^6)*p1^2)+a^5*b^4*(
12011186*p5-1259123*p4*p1-755149/3*p3*p2+57211*p3*p1^2+14965*p2^2*p1-4604/3*p2*
p1^3+12*p1^5)+a^6*b^3*(-3725932*p6+2600963/5*p5*p1+126385*p4*p2-66625/2*p4*p1^2
+120382/3*p3^2-16834*p3*p2*p1+3850/3*p3*p1^3-1035*p2^3+1239/2*p2^2*p1^2-69/2*p2
*p1^4+7/30*p1^6)+a^7*b^2*(746108*p7-132034*p6*p1-387519/10*p5*p2+111399/10*p5*
p1^2-142795/6*p4*p3+26275/4*p4*p2*p1-7075/12*p4*p1^3+21277/9*p3^2*p1+1088*p3*p2
^2-1637/3*p3*p2*p1^2+389/18*p3*p1^4-585/8*p2^3*p1+125/8*p2^2*p1^3-67/120*p2*p1^
5+1/360*p1^7)+a^8*b*(-89541*p8+19370*p7*p1+6636*p6*p2-2051*p6*p1^2+21879/5*p5*
p3-14031/10*p5*p2*p1+281/2*p5*p1^3+7675/4*p4^2-3975/4*p4*p3*p1-495/2*p4*p2^2+
1155/8*p4*p2*p1^2-55/8*p4*p1^4-1201/6*p3^2*p2+347/6*p3^2*p1^2+417/8*p3*p2^2*p1-
113/12*p3*p2*p1^3+29/120*p3*p1^5+27/16*p2^4-27/16*p2^3*p1^2+3/16*p2^2*p1^4-1/
240*p2*p1^6)+7567560*a*b^8*p1+a^8*(1/7*(2522520-169323*W+1155*W^2)*p7+1/6*(-
610974+36456*W-252*W^2)*p6*p1+1/10*(-597660+50463/2*W-315/2*W^2)*p5*p2+1/10*(
144102-15393/2*W+105/2*W^2)*p5*p1^2+1/12*(-652260+47065/2*W-305/2*W^2)*p4*p3+1/
8*(131665-5280*W+30*W^2)*p4*p2*p1+1/24*(-32775+1580*W-10*W^2)*p4*p1^3+1/18*(
136620-5078*W+30*W^2)*p3^2*p1+1/24*(107340-7227/2*W+27/2*W^2)*p3*p2^2+1/12*(-
28006+2133/2*W-9/2*W^2)*p3*p2*p1^2+1/72*(7104-619/2*W+3/2*W^2)*p3*p1^4+1/48*(-
22059+702*W)*p2^3*p1+1/48*(5685-198*W)*p2^2*p1^3+1/240*(-1435+54*W)*p2*p1^5+1/
5040*(357-14*W)*p1^7)+a^7*(1/5*(29008980-23033549/4*W+2373651/8*W^2-15169/4*W^3
+105/8*W^4)*p5+1/4*(-8628249+8224865/6*W-60705*W^2+2360/3*W^3-5/2*W^4)*p4*p1+1/
6*(-10259844+5456573/4*W-367963/8*W^2+2165/4*W^3-9/8*W^4)*p3*p2+1/6*(2251704-
3658417/12*W+97385/8*W^2-1889/12*W^3+3/8*W^4)*p3*p1^2+1/8*(2310611-548139/2*W+
18681/2*W^2-105*W^3)*p2^2*p1+1/12*(-521031+127009/2*W-4771/2*W^2+29*W^3)*p2*p1^
3+1/120*(120615-88841/6*W+1169/2*W^2-23/3*W^3)*p1^5)+a^6*(1/3*(67747680-
32984090*W+115565729/24*W^2-12307823/48*W^3+235787/48*W^4-1921/48*W^5+1/16*W^6)
*p3+1/2*(-27940326+118575299/12*W-8766677/8*W^2+147937/3*W^3-7763/8*W^4+31/4*W^
5)*p2*p1+1/6*(7872624-9345515/4*W+5725145/24*W^2-65545/6*W^3+5695/24*W^4-25/12*
W^5)*p1^3)+a^9*(1/720*p3*p1^6-1/16*p3*p2*p1^4+9/16*p3*p2^2*p1^2-9/16*p3*p2^3+5/
9*p3^2*p1^3+50/9*p3^3-5*p3^2*p2*p1-1/24*p4*p1^5+5/4*p4*p2*p1^3-45/8*p4*p2^2*p1+
126*p6*p2*p1+165*p7*p1^2+305/8*p4*p3*p2+175/4*p4^2*p1+189/8*p5*p2^2+476/5*p5*p3
*p1-495*p7*p2-1287*p8*p1-14*p6*p1^3-357*p6*p3+7/8*p5*p1^4-63/4*p5*p2*p1^2-1239/
4*p5*p4-305/24*p4*p3*p1^2+5005*p9)
[3, 3, 3, 3, 2]
a^5*b^3*(1/4*(-63097296+6845090*W-52450*W^2)*p4+1/3*(7130315-459541/2*W+3949/2*
W^2)*p3*p1+1/8*(9612780-365688*W+3080*W^2)*p2^2+1/4*(-394832+9625*W-89*W^2)*p2*
p1^2+1/24*(10580-194*W+2*W^2)*p1^4)+a^4*b^4*(1/3*(90554385-25446575/2*W+144167/
2*W^2)*p3+1/2*(-10581883+330682*W-2230*W^2)*p2*p1+1/6*(367533-6508*W+46*W^2)*p1
^3)+a^3*b^5*(1/2*(-61956630+12677146*W-58818*W^2)*p2+1/2*(7223210-212364*W+984*
W^2)*p1^2)+a^2*b^7*(-5334120*p2+37400*p1^2)+a^6*b^2*(1/5*(23557545-4245535/2*W+
41815/2*W^2)*p5+1/4*(-2656150+94980*W-1060*W^2)*p4*p1+1/6*(-4107195+166275*W-
1779*W^2)*p3*p2+1/6*(164415-3255*W+39*W^2)*p3*p1^2+1/8*(313800-11466*W+138*W^2)
*p2^2*p1+1/12*(-10608+243*W-3*W^2)*p2*p1^3+3/2*p1^5)+a^7*b*(1/6*(-4648770+
366863*W-4487*W^2)*p6+1/5*(529630-39545/2*W+545/2*W^2)*p5*p1+1/8*(989220-50920*
W+680*W^2)*p4*p2+1/8*(-37940+690*W-10*W^2)*p4*p1^2+1/18*(917622-28836*W+396*W^2
)*p3^2+1/6*(-82152+3057*W-45*W^2)*p3*p2*p1+85*p3*p1^3+1/48*(-176472+8624*W-128*
W^2)*p2^3+1/16*(7784-260*W+4*W^2)*p2^2*p1^2-3*p2*p1^4)+a^7*b^2*(120318*p7-37135
/6*p6*p1-17787/2*p5*p2+197/2*p5*p1^2-7475/2*p4*p3+2245/4*p4*p2*p1-5/4*p4*p1^3+
209/2*p3^2*p1+671/2*p3*p2^2-13*p3*p2*p1^2-163/12*p2^3*p1+1/4*p2^2*p1^3)+a^4*b^3
*(1/2*(-101247273+86118927/2*W-7495939/2*W^2+54076*W^3-274*W^4)*p2+1/2*(
23724191-27519869/6*W+136639*W^2-4982/3*W^3+17/2*W^4)*p1^2)+a^5*b^2*(1/3*(
94813764-114285179/4*W+16149723/8*W^2-131383/4*W^3+1545/8*W^4)*p3+1/2*(-
22325677+43263367/12*W-998599/8*W^2+24389/12*W^3-113/8*W^4)*p2*p1+1/6*(2348967-
747195/4*W+34005/8*W^2-225/4*W^3+3/8*W^4)*p1^3)+a^6*b*(1/4*(-36436818+8665215*W
-545895*W^2+10840*W^3-80*W^4)*p4+1/3*(8071773-4500939/4*W+308079/8*W^2-2787/4*W
^3+45/8*W^4)*p3*p1+1/8*(11226828-1742886*W+79424*W^2-1632*W^3+14*W^4)*p2^2+1/4*
(-1133768+103545*W-6679/2*W^2+59*W^3-1/2*W^4)*p2*p1^2+1/24*(68760-2772*W+36*W^2
)*p1^4)+a^5*b*(1/2*(-40453260+53189067/2*W-58866001/12*W^2+331792*W^3-114539/12
*W^4+289/2*W^5-W^6)*p2+1/2*(14358276-33475157/6*W+3546647/6*W^2-549661/24*W^3+
4049/8*W^4-53/8*W^5+1/24*W^6)*p1^2)+a^4*b*(-66418789/20*W+40791243/8*W^2-
99002405/48*W^3+9675097/32*W^4-1461029/80*W^5+12187/24*W^6-91/12*W^7+5/96*W^8)+
a^3*b^3*(-16680535/2*W+133677337/12*W^2-9027164/3*W^3+2550323/12*W^4-17987/6*W^
5+15*W^6)+a^2*b^5*(-5074980*W+5876250*W^2-805020*W^3+3750*W^4)+a*b^7*(-862400*W
+862400*W^2)+a^3*b^6*(6873526*p3-124250*p2*p1+432*p1^3)+a^4*b^5*(-4939416*p4+
378005/3*p3*p1+95031/2*p2^2-1682*p2*p1^2+29/6*p1^4)+a^5*b^4*(2209449*p5-306785/
4*p4*p1-116145/2*p3*p2+6353/6*p3*p1^2+13025/8*p2^2*p1-81/4*p2*p1^3+1/24*p1^5)+a
^6*b^3*(-641718*p6+28004*p5*p1+29340*p4*p2-450*p4*p1^2+19813/3*p3^2-8927/6*p3*
p2*p1+37/6*p3*p1^3-342*p2^3+55/2*p2^2*p1^2-1/6*p2*p1^4)+a^5*(3203200-106971179/
24*W+168317335/96*W^2-26087873/96*W^3+2498915/128*W^4-18397/24*W^5+3773/192*W^6
-31/96*W^7+1/384*W^8)*p1+a^8*b*(-13554*p8+771*p7*p1+1533*p6*p2-28/3*p6*p1^2+583
*p5*p3-109*p5*p2*p1+675/2*p4^2-75/2*p4*p3*p1-90*p4*p2^2+5/2*p4*p2*p1^2-44*p3^2*
p2+15/2*p3*p2^2*p1+3/2*p2^4-1/6*p2^3*p1^2)+1724800*a*b^8*p1+a^4*b^2*(26397280-
339125695/12*W+170027131/24*W^2-2165809/4*W^3+308767/24*W^4-955/6*W^5+11/12*W^6
)*p1+a^3*b^4*(33653760-24740180*W+3003304*W^2-37276*W^3+168*W^4)*p1+a^2*b^6*(
13652800-5177320*W+26200*W^2)*p1+a^8*(1/7*(390390-28140*W+420*W^2)*p7+1/6*(-
44548+1624*W-28*W^2)*p6*p1+1/10*(-105630+6405*W-105*W^2)*p5*p2+315*p5*p1^2+1/12
*(-93030+3540*W-60*W^2)*p4*p3+1/8*(11140-530*W+10*W^2)*p4*p2*p1-15/2*p4*p1^3+
310*p3^2*p1+1/24*(23964-1320*W+24*W^2)*p3*p2^2-52*p3*p2*p1^2+1/48*(-3304+196*W-
4*W^2)*p2^3*p1+3/2*p2^2*p1^3)+a^7*(1/5*(5120115-4121145/4*W+492135/8*W^2-5775/4
*W^3+105/8*W^4)*p5+1/4*(-1080730+276845/2*W-20955/4*W^2+235/2*W^3-5/4*W^4)*p4*
p1+1/6*(-1758858+256413*W-12324*W^2+294*W^3-3*W^4)*p3*p2+1/6*(151002-10452*W+
156*W^2)*p3*p1^2+1/8*(281296-33817*W+3271/2*W^2-43*W^3+1/2*W^4)*p2^2*p1+1/12*(-
18444+1098*W-18*W^2)*p2*p1^3+9/2*p1^5)+a^6*(1/3*(13702260-26347871/4*W+7938277/
8*W^2-62074*W^3+15273/8*W^4-129/4*W^5+1/4*W^6)*p3+1/2*(-4955792+9639485/6*W-
995855/6*W^2+192445/24*W^3-1953/8*W^4+37/8*W^5-1/24*W^6)*p2*p1+1/6*(926688-
370977/2*W+42519/4*W^2-495/2*W^3+9/4*W^4)*p1^3)+a^9*(715*p9+28/3*p6*p2*p1-5/4*
p4*p2^2*p1+10*p4*p3*p2+1/24*p2^4*p1-120*p7*p2-165/4*p8*p1-112/3*p6*p3-105/2*p5*
p4+21/2*p5*p2^2+25/8*p4^2*p1-2/3*p3*p2^3)
[3, 3, 3, 2, 2, 2]
a^6*b^2*(1/5*(-185491455+33823985/2*W-261725/2*W^2)*p5+1/4*(26905620-1428780*W+
12210*W^2)*p4*p1+1/6*(32458731-1194850*W+10580*W^2)*p3*p2+1/6*(-2893317+107577*
W-1025*W^2)*p3*p1^2+1/8*(-3203664+119039*W-1179*W^2)*p2^2*p1+1/12*(267732-8953*
W+95*W^2)*p2*p1^3+1/120*(-17760+465*W-5*W^2)*p1^5)+a^3*b^5*(1/2*(441064688-
91972944*W+353872*W^2)*p2+1/2*(-55894072+2825612*W-16212*W^2)*p1^2)+a^4*b^4*(1/
3*(-663233307+189784417/2*W-881053/2*W^2)*p3+1/2*(86164798-3878896*W+21699*W^2)
*p2*p1+1/6*(-5435736+176153*W-1118*W^2)*p1^3)+a^5*b^3*(1/4*(478056188-52670350*
W+321590*W^2)*p4+1/3*(-64507761+3189832*W-21643*W^2)*p3*p1+1/8*(-73417322+
2424017*W-17405*W^2)*p2^2+1/4*(5427562-184178*W+1468*W^2)*p2*p1^2+1/24*(-363678
+10261*W-85*W^2)*p1^4)+a^7*b*(1/6*(38204334-3036831*W+28707*W^2)*p6+1/5*(-
6072875+334120*W-3480*W^2)*p5*p1+1/8*(-7834490+350005*W-3745*W^2)*p4*p2+1/8*(
794370-32535*W+375*W^2)*p4*p1^2+1/18*(-8074140+293958*W-3174*W^2)*p3^2+1/6*(
982367-81193/2*W+953/2*W^2)*p3*p2*p1+1/18*(-86277+5589/2*W-69/2*W^2)*p3*p1^3+1/
48*(1170852-49638*W+606*W^2)*p2^3+1/16*(-122388+5122*W-66*W^2)*p2^2*p1^2+1/48*(
9536-308*W+4*W^2)*p2*p1^4-1/2*p1^6)+a^3*b^4*(-234724560+527300926/3*W-22162473*
W^2+1014896/3*W^3-1473*W^4)*p1+a^4*b^2*(-184355080+601921228/3*W-619309097/12*W
^2+98424029/24*W^3-614615/6*W^4+29063/24*W^5-25/4*W^6)*p1+a^2*b^6*(-95141200+
36821520*W-285880*W^2)*p1+a^6*b*(1/4*(277861794-200690600/3*W+8204155/2*W^2-
197710/3*W^3+785/2*W^4)*p4+1/3*(-69721125+22121493/2*W-1854845/4*W^2+15343/2*W^
3-203/4*W^4)*p3*p1+1/8*(-86841804+39005813/3*W-1003711/2*W^2+25615/3*W^3-121/2*
W^4)*p2^2+1/4*(12299944-1444870*W+53587*W^2-944*W^3+7*W^4)*p2*p1^2+1/24*(-
1513680+141141*W-8887/2*W^2+71*W^3-1/2*W^4)*p1^4)+a^4*b^3*(1/2*(721787065-
312159716*W+108747591/4*W^2-324651*W^3+5661/4*W^4)*p2+1/2*(-179995549+78295341/
2*W-1678219*W^2+44741/2*W^3-116*W^4)*p1^2)+a^5*b^2*(1/3*(-696696155+639765569/3
*W-14939084*W^2+1214237/6*W^3-2017/2*W^4)*p3+1/2*(176932368-374371453/12*W+
9993207/8*W^2-219881/12*W^3+861/8*W^4)*p2*p1+1/6*(-24859472+36065093/12*W-
808963/8*W^2+17773/12*W^3-73/8*W^4)*p1^3)+a^3*b^3*(173121388/3*W-231858245/3*W^
2+126180497/6*W^3-8808277/6*W^4+101927/6*W^5-433/6*W^6)+a^4*b*(457719607/20*W-
422874337/12*W^2+687131515/48*W^3-99689501/48*W^4+2356933/20*W^5-21657/8*W^6+
1589/48*W^7-3/16*W^8)+a^5*b*(1/2*(289520976-2314897475/12*W+427752107/12*W^2-
36800183/16*W^3+2635735/48*W^4-32911/48*W^5+63/16*W^6)*p2+1/2*(-108770680+
545689951/12*W-10978253/2*W^2+12414227/48*W^3-291889/48*W^4+1275/16*W^5-23/48*W
^6)*p1^2)+a*b^7*(6006000*W-6006000*W^2)+a^2*b^5*(35235180*W-40865580*W^2+
5651820*W^3-21420*W^4)+a^5*(-22422400+94956712/3*W-304760351/24*W^2+8024111/4*W
^3-13858709/96*W^4+128719/24*W^5-5783/48*W^6+13/8*W^7-1/96*W^8)*p1+a^5*b^4*(-
17318352*p5+1158445*p4*p1+2439103/6*p3*p2-65049/2*p3*p1^2-70895/4*p2^2*p1+3929/
6*p2*p1^3-11/4*p1^5)+a^2*b^7*(37976520*p2-486080*p1^2)+a^3*b^6*(-150933992/3*p3
+1555492*p2*p1-32692/3*p1^3)+a^4*b^5*(37342833*p4-5324293/3*p3*p1-626871/2*p2^2
+72369/2*p2*p1^2-563/3*p1^4)+a^6*b^3*(5231478*p6-457873*p5*p1-405755/2*p4*p2+
17210*p4*p1^2-556000/9*p3^2+56582/3*p3*p2*p1-3559/9*p3*p1^3+8503/4*p2^3-2129/4*
p2^2*p1^2+115/12*p2*p1^4-1/36*p1^6)+a^7*b^2*(-1023012*p7+111125*p6*p1+124539/2*
p5*p2-10441/2*p5*p1^2+107765/3*p4*p3-28825/4*p4*p2*p1+1705/12*p4*p1^3-7064/3*p3
^2*p1-2253*p3*p2^2+2419/6*p3*p2*p1^2-17/6*p3*p1^4+259/2*p2^3*p1-39/4*p2^2*p1^3+
1/12*p2*p1^5)+a^8*b*(120537*p8-15588*p7*p1-21651/2*p6*p2+5159/6*p6*p1^2-19594/3
*p5*p3+3061/2*p5*p2*p1-151/6*p5*p1^3-5675/2*p4^2+2785/3*p4*p3*p1+2195/4*p4*p2^2
-100*p4*p2*p1^2+5/12*p4*p1^4+1220/3*p3^2*p2-30*p3^2*p1^2-547/6*p3*p2^2*p1+23/6*
p3*p2*p1^3-31/4*p2^4+19/6*p2^3*p1^2-1/12*p2^2*p1^4)-12012000*a*b^8*p1+a^8*(1/7*
(-3363360+242970*W-2730*W^2)*p7+1/6*(588448-32886*W+406*W^2)*p6*p1+1/10*(829290
-85925/2*W+1085/2*W^2)*p5*p2+1/10*(-88620+7665/2*W-105/2*W^2)*p5*p1^2+1/12*(
870660-37030*W+470*W^2)*p4*p3+1/8*(-129400+6165*W-85*W^2)*p4*p2*p1+1/24*(10800-
325*W+5*W^2)*p4*p1^3+1/18*(-124872+5256*W-72*W^2)*p3^2*p1+1/24*(-170868+8180*W-
116*W^2)*p3*p2^2+1/12*(18390-804*W+12*W^2)*p3*p2*p1^2-38/3*p3*p1^4+1/48*(28264-
1422*W+22*W^2)*p2^3*p1+1/48*(-2784+122*W-2*W^2)*p2^2*p1^3+1/2*p2*p1^5)+a^7*(1/5
*(-40780740+8268995*W-1879465/4*W^2+17465/2*W^3-245/4*W^4)*p5+1/4*(10348520-
1545400*W+69020*W^2-1310*W^3+10*W^4)*p4*p1+1/6*(14147238-3996571/2*W+167257/2*W
^2-1616*W^3+13*W^4)*p3*p2+1/6*(-2090588+488529/2*W-9522*W^2+183*W^3-3/2*W^4)*p3
*p1^2+1/8*(-2636192+317523*W-27175/2*W^2+283*W^3-5/2*W^4)*p2^2*p1+1/12*(352680-
71389/2*W+5447/4*W^2-55/2*W^3+1/4*W^4)*p2*p1^3+1/120*(-35840+2190*W-30*W^2)*p1^
5)+a^6*(1/3*(-101541440+148105799/3*W-44335759/6*W^2+10416959/24*W^3-89107/8*W^
4+1223/8*W^5-23/24*W^6)*p3+1/2*(39298032-13415427*W+11642989/8*W^2-1107999/16*W
^3+28963/16*W^4-433/16*W^5+3/16*W^6)*p2*p1+1/6*(-9232904+7145648/3*W-5008327/24
*W^2+421261/48*W^3-3419/16*W^4+49/16*W^5-1/48*W^6)*p1^3)+a^9*(-20020/3*p9-140*
p6*p2*p1-84*p5*p3*p1+21/2*p5*p2*p1^2-250/3*p4*p3*p2+5*p4*p3*p1^2+45/4*p4*p2^2*
p1-5/12*p4*p2*p1^3+8*p3^2*p2*p1-p3*p2^2*p1^2-32/3*p3^3+840*p7*p2+990*p8*p1+4816
/9*p6*p3-60*p7*p1^2+455*p5*p4+14/9*p6*p1^3-75/2*p4^2*p1-119/2*p5*p2^2-1/4*p2^4*
p1+32/9*p3*p2^3+1/36*p2^3*p1^3)
[3, 3, 2, 2, 2, 2, 2]
a^2*b^6*(159930540-63116157*W+620535*W^2)*p1+a^4*b^2*(310510200-4120167961/12*W
+2174695987/24*W^2-179882485/24*W^3+4783847/24*W^4-18363/8*W^5+45/4*W^6)*p1+a^3
*b^4*(394884000-3611666455/12*W+314196535/8*W^2-8321057/12*W^3+23289/8*W^4)*p1+
a^3*b^5*(1/2*(-755967570+160967660*W-587728*W^2)*p2+1/2*(101825348-6561269*W+
45897*W^2)*p1^2)+a^4*b^4*(1/3*(1166808837-170713727*W+735560*W^2)*p3+1/2*(-
163627677+8881405*W-46068*W^2)*p2*p1+1/6*(13500201-583277*W+4136*W^2)*p1^3)+a^5
*b^3*(1/4*(-868086056+97812680*W-546820*W^2)*p4+1/3*(131266375-15504513/2*W+
95029/2*W^2)*p3*p1+1/8*(137292102-4466463*W+30015*W^2)*p2^2+1/4*(-13706708+
564762*W-4098*W^2)*p2*p1^2+1/24*(1342894-51855*W+431*W^2)*p1^4)+a^7*b*(1/6*(-
75088398+6085926*W-51660*W^2)*p6+1/5*(14369032-1800939/2*W+16441/2*W^2)*p5*p1+1
/8*(15775770-692925*W+6705*W^2)*p4*p2+1/8*(-2463780+126370*W-1250*W^2)*p4*p1^2+
1/18*(16497690-611610*W+6018*W^2)*p3^2+1/6*(-2463407+208653/2*W-2201/2*W^2)*p3*
p2*p1+1/18*(380553-34185/2*W+369/2*W^2)*p3*p1^3+1/48*(-2295024+94392*W-1044*W^2
)*p2^3+1/16*(373718-16267*W+187*W^2)*p2^2*p1^2+1/48*(-55232+2376*W-28*W^2)*p2*
p1^4+1/720*(7062-267*W+3*W^2)*p1^6)+a^4*b^3*(1/2*(-1238389978+1091817493/2*W-
193189977/4*W^2+544777*W^3-9025/4*W^4)*p2+1/2*(323591702-228217487/3*W+3874783*
W^2-342455/6*W^3+583/2*W^4)*p1^2)+a^5*b*(1/2*(-498300722+1350411423/4*W-
126738823/2*W^2+65467087/16*W^3-1480093/16*W^4+17253/16*W^5-91/16*W^6)*p2+1/2*(
195071416-1030849439/12*W+22463697/2*W^2-9375133/16*W^3+230951/16*W^4-8941/48*W
^5+17/16*W^6)*p1^2)+a^5*b^2*(1/3*(1228535685-1535259595/4*W+217776889/8*W^2-
1378681/4*W^3+12903/8*W^4)*p3+1/2*(-330221050+186444004/3*W-10970003/4*W^2+
115124/3*W^3-845/4*W^4)*p2*p1+1/6*(54490038-7859232*W+1280381/4*W^2-5018*W^3+
123/4*W^4)*p1^3)+a^6*b*(1/4*(-507044188+747468595/6*W-30756145/4*W^2+687215/6*W
^3-2515/4*W^4)*p4+1/3*(138231996-47267203/2*W+4320633/4*W^2-16903*W^3+413/4*W^4
)*p3*p1+1/8*(163386868-148682653/6*W+3705555/4*W^2-88211/6*W^3+381/4*W^4)*p2^2+
1/4*(-28095440+11259650/3*W-303805/2*W^2+7702/3*W^3-35/2*W^4)*p2*p1^2+1/24*(
4677564-1129821/2*W+89901/4*W^2-783/2*W^3+11/4*W^4)*p1^4)+a^4*b^5*(-67735466*p4
+12856957/3*p3*p1+1131963/2*p2^2-229205/2*p2*p1^2+2645/3*p1^4)+a^3*b^6*(
88511463*p3-7143401/2*p2*p1+70233/2*p1^3)+a^2*b^7*(-65111997*p2+1105635*p1^2)+a
^6*b^2*(1/5*(349491510-32554489*W+228394*W^2)*p5+1/4*(-58923490+3644775*W-27675
*W^2)*p4*p1+1/6*(-63007242+2295836*W-18746*W^2)*p3*p2+1/6*(8089220-376186*W+
3170*W^2)*p3*p1^2+1/8*(7489338-281292*W+2554*W^2)*p2^2*p1+1/12*(-960648+38918*W
-374*W^2)*p2*p1^3+1/120*(113630-4414*W+44*W^2)*p1^5)+a^4*b*(-571297823/15*W+
707085379/12*W^2-290126851/12*W^3+169648391/48*W^4-15887399/80*W^5+68427/16*W^6
-2323/48*W^7+1/4*W^8)+a^5*b^4*(32529690*p5-2927190*p4*p1-1520291/2*p3*p2+689129
/6*p3*p1^2+166295/4*p2^2*p1-5805/2*p2*p1^3+233/12*p1^5)+a*b^7*(-10090080*W+
10090080*W^2)+a^2*b^5*(-118046381/2*W+274403445/4*W^2-19223059/2*W^3+135435/4*W
^4)+a^3*b^3*(-192727183/2*W+1554494437/12*W^2-106972133/3*W^3+30080267/12*W^4-
162185/6*W^5+108*W^6)+a^6*b^3*(-10216612*p6+6085118/5*p5*p1+1557735/4*p4*p2-
264435/4*p4*p1^2+374717/3*p3^2-141725/3*p3*p2*p1+2228*p3*p1^3-32051/8*p2^3+
13453/8*p2^2*p1^2-1493/24*p2*p1^4+43/120*p1^6)+a^7*b^2*(2085246*p7-312809*p6*p1
-1232763/10*p5*p2+220281/10*p5*p1^2-304515/4*p4*p3+150205/8*p4*p2*p1-7785/8*p4*
p1^3+20467/3*p3^2*p1+35585/8*p3*p2^2-5853/4*p3*p2*p1^2+255/8*p3*p1^4-4985/16*p2
^3*p1+719/16*p2^2*p1^3-81/80*p2*p1^5+1/240*p1^7)+a^8*b*(-257499*p8+46866*p7*p1+
22169*p6*p2-4067*p6*p1^2+72741/5*p5*p3-20821/5*p5*p2*p1+222*p5*p1^3+25525/4*p4^
2-35305/12*p4*p3*p1-8785/8*p4*p2^2+1555/4*p4*p2*p1^2-205/24*p4*p1^4-2641/3*p3^2
*p2+467/3*p3^2*p1^2+5737/24*p3*p2^2*p1-301/12*p3*p2*p1^3+31/120*p3*p1^5+117/8*
p2^4-81/8*p2^3*p1^2+17/24*p2^2*p1^4-1/120*p2*p1^6)+20180160*a*b^8*p1+a^5*(
37837800-650110699/12*W+355322925/16*W^2-10811521/3*W^3+51178171/192*W^4-79979/
8*W^5+20755/96*W^6-65/24*W^7+1/64*W^8)*p1+a^8*(1/7*(6936930-509586*W+5082*W^2)*
p7+1/6*(-1513512+94752*W-1008*W^2)*p6*p1+1/10*(-1735860+175931/2*W-1967/2*W^2)*
p5*p2+1/10*(311206-33985/2*W+385/2*W^2)*p5*p1^2+1/12*(-1871625+81140*W-920*W^2)
*p4*p3+1/8*(343140-16700*W+200*W^2)*p4*p2*p1+1/24*(-59640+2915*W-35*W^2)*p4*p1^
3+1/18*(350340-15888*W+192*W^2)*p3^2*p1+1/24*(352215-16418*W+206*W^2)*p3*p2^2+1
/12*(-65069+3124*W-40*W^2)*p3*p2*p1^2+1/72*(10551-474*W+6*W^2)*p3*p1^4+1/48*(-
68574+3357*W-45*W^2)*p2^3*p1+1/48*(12018-584*W+8*W^2)*p2^2*p1^3+1/240*(-1730+73
*W-W^2)*p2*p1^5+1/40*p1^7)+a^6*(1/3*(180225045-356774681/4*W+108256245/8*W^2-
6316497/8*W^3+38173/2*W^4-1937/8*W^5+11/8*W^6)*p3+1/2*(-73271008+313730629/12*W
-35775055/12*W^2+2339269/16*W^3-176213/48*W^4+2429/48*W^5-5/16*W^6)*p2*p1+1/6*(
19502052-22572543/4*W+2274031/4*W^2-433509/16*W^3+11203/16*W^4-159/16*W^5+1/16*
W^6)*p1^3)+a^9*(4809/40*p5*p2^2+294*p5*p3*p1+399*p6*p2*p1+330*p7*p1^2+375/2*p4*
p3*p2+1075/8*p4^2*p1+80/3*p3^3+15015*p9-6435/2*p8*p1-1782*p7*p2-1260*p6*p3-21*
p6*p1^3-4347/4*p5*p4-175/4*p5*p2*p1^2+7/8*p5*p1^4-205/6*p4*p3*p1^2-475/16*p4*p2
^2*p1+25/8*p4*p2*p1^3-1/48*p4*p1^5-76/3*p3^2*p2*p1+4/3*p3^2*p1^3+23/6*p3*p2^2*
p1^2-7*p3*p2^3-1/6*p3*p2*p1^4+9/16*p2^4*p1-1/8*p2^3*p1^3+1/240*p2^2*p1^5)+a^7*(
1/5*(77567490-64117907/4*W+7278677/8*W^2-62307/4*W^3+791/8*W^4)*p5+1/4*(-
22032920+42649375/12*W-1355035/8*W^2+36065/12*W^3-165/8*W^4)*p4*p1+1/6*(-
27796272+3970730*W-643799/4*W^2+5749/2*W^3-83/4*W^4)*p3*p2+1/6*(5323470-717934*
W+124485/4*W^2-1151/2*W^3+17/4*W^4)*p3*p1^2+1/8*(5931380-8981275/12*W+250299/8*
W^2-7157/12*W^3+37/8*W^4)*p2^2*p1+1/12*(-1122324+544647/4*W-46081/8*W^2+445/4*W
^3-7/8*W^4)*p2*p1^3+1/120*(205980-92917/4*W+7407/8*W^2-67/4*W^3+1/8*W^4)*p1^5)
[3, 2, 2, 2, 2, 2, 2, 2]
a^5*b*(1/2*(289862752-599791076/3*W+306973663/8*W^2-40558585/16*W^3+930985/16*W
^4-32725/48*W^5+57/16*W^6)*p2+1/2*(-117142400+161276246/3*W-59681757/8*W^2+
6721191/16*W^3-530041/48*W^4+7099/48*W^5-41/48*W^6)*p1^2)+a^4*b^5*(41422408*p4-
9251573/3*p3*p1-365459*p2^2+194921/2*p2*p1^2-5591/6*p1^4)+a^5*b^4*(-20571586*p5
+8752113/4*p4*p1+1516292/3*p3*p2-103277*p3*p1^2-257893/8*p2^2*p1+37123/12*p2*p1
^3-215/8*p1^5)+a^6*b^3*(6713000*p6-950592*p5*p1-538085/2*p4*p2+251555/4*p4*p1^2
-256390/3*p3^2+229715/6*p3*p2*p1-15707/6*p3*p1^3+11493/4*p2^3-12865/8*p2^2*p1^2
+260/3*p2*p1^4-17/24*p1^6)+a^2*b^7*(37767960*p2-754635*p1^2)+a^3*b^6*(-52588692
*p3+4964507/2*p2*p1-58875/2*p1^3)+a^8*b*(185517*p8-285832/7*p7*p1-16828*p6*p2+
4452*p6*p1^2-54768/5*p5*p3+19004/5*p5*p2*p1-1608/5*p5*p1^3-19175/4*p4^2+2660*p4
*p3*p1+3465/4*p4*p2^2-875/2*p4*p2*p1^2+35/2*p4*p1^4+2072/3*p3^2*p2-1562/9*p3^2*
p1^2-223*p3*p2^2*p1+71/2*p3*p2*p1^3-71/90*p3*p1^5-189/16*p2^4+45/4*p2^3*p1^2-5/
4*p2^2*p1^4+1/30*p2*p1^6-1/5040*p1^8)+a^2*b^5*(67005195/2*W-39034275*W^2+
11102835/2*W^3-19740*W^4)+a^3*b^3*(54538943*W-883612045/12*W^2+246587693/12*W^3
-8816845/6*W^4+191491/12*W^5-255/4*W^6)+a^4*b*(214911451/10*W-2407448845/72*W^2
+666944893/48*W^3-297260729/144*W^4+1177909/10*W^5-45895/18*W^6+1379/48*W^7-7/
48*W^8)+a^7*b^2*(-1430692*p7+257033*p6*p1+444973/5*p5*p2-111751/5*p5*p1^2+
326435/6*p4*p3-128665/8*p4*p2*p1+30235/24*p4*p1^3-52030/9*p3^2*p1-39913/12*p3*
p2^2+9037/6*p3*p2*p1^2-1921/36*p3*p1^4+4353/16*p2^3*p1-2669/48*p2^2*p1^3+491/
240*p2*p1^5-11/720*p1^7)+a*b^7*(11486475/2*W-11486475/2*W^2)+a^3*b^4*(-
225051750+1046619941/6*W-93935021/4*W^2+2764699/6*W^3-7935/4*W^4)*p1+a^2*b^6*(-
91080990+73238625/2*W-833595/2*W^2)*p1+a^4*b^2*(-177149700+198867683*W-
645733973/12*W^2+37027307/8*W^3-1576577/12*W^4+12433/8*W^5-23/3*W^6)*p1+a^5*(-
21621600+313825189/10*W-105181609/8*W^2+52745653/24*W^3-16199261/96*W^4+263309/
40*W^5-2329/16*W^6+11/6*W^7-1/96*W^8)*p1+a^3*b^5*(1/2*(438266784-190766683/2*W+
713687/2*W^2)*p2+1/2*(-61841498+9143749/2*W-73725/2*W^2)*p1^2)+a^4*b^4*(1/3*(-
692906376+207905183/2*W-903017/2*W^2)*p3+1/2*(102913324-12537333/2*W+66315/2*W^
2)*p2*p1+1/6*(-9872040+1001807/2*W-8057/2*W^2)*p1^3)+a^5*b^3*(1/4*(530940048-
122987225/2*W+690145/2*W^2)*p4+1/3*(-86862692+11383391/2*W-70025/2*W^2)*p3*p1+1
/8*(-87065264+5916237/2*W-39925/2*W^2)*p2^2+1/4*(10338718-967787/2*W+7127/2*W^2
)*p2*p1^2+1/24*(-1232060+113705/2*W-1049/2*W^2)*p1^4)+a^6*b^2*(1/5*(-221366740+
21232430*W-149255*W^2)*p5+1/4*(41188102-5581135/2*W+42445/2*W^2)*p4*p1+1/6*(
41537312-3143411/2*W+25631/2*W^2)*p3*p2+1/6*(-6499136+684833/2*W-5785/2*W^2)*p3
*p1^2+1/8*(-5644054+447867/2*W-4061/2*W^2)*p2^2*p1+1/12*(905084-83753/2*W+815/2
*W^2)*p2*p1^3+1/120*(-139370+13295/2*W-145/2*W^2)*p1^5)+a^7*b*(1/6*(49552608-
4139961*W+35175*W^2)*p6+1/5*(-10656232+723845*W-6621*W^2)*p5*p1+1/8*(-10883880+
990525/2*W-9545/2*W^2)*p4*p2+1/8*(2124520-245275/2*W+2435/2*W^2)*p4*p1^2+1/18*(
-11355120+434656*W-4264*W^2)*p3^2+1/6*(1960740-174847/2*W+1835/2*W^2)*p3*p2*p1+
1/18*(-393360+40775/2*W-443/2*W^2)*p3*p1^3+1/48*(1666872-140967/2*W+1539/2*W^2)
*p2^3+1/16*(-347920+32385/2*W-369/2*W^2)*p2^2*p1^2+1/48*(69744-6991/2*W+83/2*W^
2)*p2*p1^4+1/720*(-13512+1385/2*W-17/2*W^2)*p1^6)+a^4*b^3*(1/2*(718494520-
969471812/3*W+117096209/4*W^2-1009117/3*W^3+5623/4*W^4)*p2+1/2*(-194753812+
290727613/6*W-2742673*W^2+266633/6*W^3-235*W^4)*p1^2)+a^5*b^2*(1/3*(-730765012+
700986575/3*W-67948765/4*W^2+651022/3*W^3-4067/4*W^4)*p3+1/2*(205337590-
488816875/12*W+15542175/8*W^2-334883/12*W^3+1237/8*W^4)*p2*p1+1/6*(-37456954+
71891759/12*W-2202131/8*W^2+56599/12*W^3-241/8*W^4)*p1^3)-11486475*a*b^8*p1+a^6
*b*(1/4*(311235344-470689645/6*W+9931975/2*W^2-446825/6*W^3+815/2*W^4)*p4+1/3*(
-90096168+32619233/2*W-3193285/4*W^2+25465/2*W^3-311/4*W^4)*p3*p1+1/8*(-
103703504+32500317/2*W-1253273/2*W^2+20085/2*W^3-129/2*W^4)*p2^2+1/4*(20110488-
17596531/6*W+258259/2*W^2-13571/6*W^3+31/2*W^4)*p2*p1^2+1/24*(-3921744+1082909/
2*W-49355/2*W^2+949/2*W^3-7/2*W^4)*p1^4)+a^7*(1/5*(-49489440+31534279/3*W-
1224011/2*W^2+31637/3*W^3-133/2*W^4)*p5+1/4*(15180256-5194825/2*W+526015/4*W^2-
4755/2*W^3+65/4*W^4)*p4*p1+1/6*(18411792-8160959/3*W+226727/2*W^2-6115/3*W^3+29
/2*W^4)*p3*p2+1/6*(-4086792+602126*W-28332*W^2+542*W^3-4*W^4)*p3*p1^2+1/8*(-
4346000+1166903/2*W-101897/4*W^2+985/2*W^3-15/4*W^4)*p2^2*p1+1/12*(986196-
401951/3*W+6256*W^2-382/3*W^3+W^4)*p2*p1^3+1/120*(-228360+61901/2*W-5967/4*W^2+
63/2*W^3-1/4*W^4)*p1^5)+a^6*(1/3*(-107764800+54455182*W-101535527/12*W^2+
12113461/24*W^3-295949/24*W^4+3755/24*W^5-7/8*W^6)*p3+1/2*(45508496-50694413/3*
W+48582649/24*W^2-5013971/48*W^3+129587/48*W^4-1805/48*W^5+11/48*W^6)*p2*p1+1/6
*(-13113144+4086353*W-10791145/24*W^2+1126379/48*W^3-31387/48*W^4+469/48*W^5-1/
16*W^6)*p1^3)+a^8*(1/7*(-4804800+363990*W-3630*W^2)*p7+1/6*(1199184-80745*W+861
*W^2)*p6*p1+1/10*(1262800-66195*W+735*W^2)*p5*p2+1/10*(-291592+17815*W-203*W^2)
*p5*p1^2+1/12*(1357440-60745*W+685*W^2)*p4*p3+1/8*(-291320+29895/2*W-355/2*W^2)
*p4*p2*p1+1/24*(68820-7835/2*W+95/2*W^2)*p4*p1^3+1/18*(-297680+14162*W-170*W^2)
*p3^2*p1+1/24*(-269920+12915*W-159*W^2)*p3*p2^2+1/12*(66104-3407*W+43*W^2)*p3*
p2*p1^2+1/72*(-15776+863*W-11*W^2)*p3*p1^4+1/48*(61560-6237/2*W+81/2*W^2)*p2^3*
p1+1/48*(-15004+1593/2*W-21/2*W^2)*p2^2*p1^3+1/240*(3560-385/2*W+5/2*W^2)*p2*p1
^5+1/5040*(-812+85/2*W-1/2*W^2)*p1^7)+a^9*(868*p5*p4+1008*p6*p3+3003*p8*p1+35*
p6*p1^3+10032/7*p7*p2-7/3*p5*p1^4+273/5*p5*p2*p1^2-125/24*p4*p2*p1^3+30*p4*p2^2
*p1+85/2*p4*p3*p1^2-20/9*p3^2*p1^3+230/9*p3^2*p2*p1+1/8*p4*p1^5+7/18*p3*p2*p1^4
-396*p7*p1^2-19/4*p3*p2^2*p1^2+6*p3*p2^3+3/16*p2^3*p1^3-504/5*p5*p2^2-4312/15*
p5*p3*p1-9/16*p2^4*p1-1/180*p3*p1^6-392*p6*p2*p1+1/5040*p2*p1^7-470/3*p4*p3*p2-
525/4*p4^2*p1-1/80*p2^2*p1^5-200/9*p3^3-11440*p9)
[2, 2, 2, 2, 2, 2, 2, 2, 2]
a^2*b^6*(16081065-13161195/2*W+164745/2*W^2)*p1+a^4*b^2*(31326750-71348389/2*W+
118650443/12*W^2-21181223/24*W^3+79855/3*W^4-8005/24*W^5+7/4*W^6)*p1+a^3*b^4*(
39760875-125250471/4*W+34700643/8*W^2-367773/4*W^3+3357/8*W^4)*p1+a^3*b^5*(1/2*
(-78662016+35008005/2*W-138129/2*W^2)*p2+1/2*(11513484-1854549/2*W+16497/2*W^2)
*p1^2)+a^4*b^4*(1/3*(127159788-39187377/2*W+178251/2*W^2)*p3+1/2*(-19747815+
2599583/2*W-14605/2*W^2)*p2*p1+1/6*(2077365-232755/2*W+2073/2*W^2)*p1^3)+a^7*b*
(1/6*(-10044888+873579*W-7833*W^2)*p6+1/5*(2337572-169746*W+1657*W^2)*p5*p1+1/8
*(2315660-223755/2*W+2295/2*W^2)*p4*p2+1/8*(-512270+64595/2*W-695/2*W^2)*p4*p1^
2+1/18*(2407860-97692*W+1020*W^2)*p3^2+1/6*(-459669+44181/2*W-501/2*W^2)*p3*p2*
p1+1/18*(105789-12207/2*W+147/2*W^2)*p3*p1^3+1/48*(-379620+34425/2*W-405/2*W^2)
*p2^3+1/16*(90954-9297/2*W+117/2*W^2)*p2^2*p1^2+1/48*(-21240+2421/2*W-33/2*W^2)
*p2*p1^4+1/720*(4902-597/2*W+9/2*W^2)*p1^6)+a^6*b^2*(1/5*(43150270-4288340*W+
31665*W^2)*p5+1/4*(-8599635+1246925/2*W-10055/2*W^2)*p4*p1+1/6*(-8442916+677549
/2*W-5849/2*W^2)*p3*p2+1/6*(1482358-170609/2*W+1549/2*W^2)*p3*p1^2+1/8*(1259011
-107529/2*W+1047/2*W^2)*p2^2*p1+1/12*(-228607+23453/2*W-251/2*W^2)*p2*p1^3+1/
120*(40315-4385/2*W+55/2*W^2)*p1^5)+a^5*b^3*(1/4*(-100146024+23930555/2*W-
140675/2*W^2)*p4+1/3*(17350781-2442699/2*W+15883/2*W^2)*p3*p1+1/8*(17035984-
1229727/2*W+8775/2*W^2)*p2^2+1/4*(-2247968+230231/2*W-1823/2*W^2)*p2*p1^2+1/24*
(299504-30903/2*W+319/2*W^2)*p1^4)+a^5*b^2*(1/3*(134262624-43996596*W+13207095/
4*W^2-44187*W^3+873/4*W^4)*p3+1/2*(-39102731+97339607/12*W-3301789/8*W^2+75661/
12*W^3-299/8*W^4)*p2*p1+1/6*(7628865-5236995/4*W+524427/8*W^2-4917/4*W^3+69/8*W
^4)*p1^3)+a^4*b^3*(1/2*(-129031484+177673292/3*W-22061505/4*W^2+199753/3*W^3-
1175/4*W^4)*p2+1/2*(36031686-56210899/6*W+570020*W^2-60101/6*W^3+57*W^4)*p1^2)+
a^6*b*(1/4*(-58858072+45795965/3*W-4008215/4*W^2+47320/3*W^3-365/4*W^4)*p4+1/3*
(17835655-13561127/4*W+1413395/8*W^2-11989/4*W^3+157/8*W^4)*p3*p1+1/8*(20253856
-3304149*W+538821/4*W^2-2292*W^3+63/4*W^4)*p2^2+1/4*(-4251070+1326803/2*W-63193
/2*W^2+1199/2*W^3-9/2*W^4)*p2*p1^2+1/24*(910876-137404*W+27727/4*W^2-149*W^3+5/
4*W^4)*p1^4)+a^5*(3828825-135116849/24*W+693936037/288*W^2-39848987/96*W^3+
38239483/1152*W^4-5453/4*W^5+18359/576*W^6-41/96*W^7+1/384*W^8)*p1+a^4*b*(-
18810074/5*W+105994807/18*W^2-39700107/16*W^3+108360781/288*W^4-2648719/120*W^5
+71549/144*W^6-281/48*W^7+1/32*W^8)+a^5*b*(1/2*(-52171592+109930909/3*W-
57703655/8*W^2+23648171/48*W^3-189621/16*W^4+2343/16*W^5-13/16*W^6)*p2+1/2*(
21632004-20555201/2*W+35927819/24*W^2-4309439/48*W^3+40517/16*W^4-1753/48*W^5+
11/48*W^6)*p1^2)+a*b^7*(-2027025/2*W+2027025/2*W^2)+a^2*b^5*(-5896470*W+
27552735/4*W^2-995415*W^3+14805/4*W^4)+a^3*b^3*(-9572862*W+51938731/4*W^2-
14710871/4*W^3+537859/2*W^4-12181/4*W^5+51/4*W^6)+a^2*b^7*(-6783300*p2+149940*
p1^2)+a^3*b^6*(9659628*p3-503064*p2*p1+6672*p1^3)+a^4*b^5*(-7818374*p4+643150*
p3*p1+73796*p2^2-22597*p2*p1^2+245*p1^4)+a^5*b^4*(4009434*p5-944265/2*p4*p1-
105194*p3*p2+74668/3*p3*p1^2+29861/4*p2^2*p1-1673/2*p2*p1^3+101/12*p1^5)+a^7*b^
2*(302252*p7-121191/2*p6*p1-100848/5*p5*p2+29756/5*p5*p1^2-73415/6*p4*p3+8185/2
*p4*p2*p1-2305/6*p4*p1^3+2921/2*p3^2*p1+3245/4*p3*p2^2-1307/3*p3*p2*p1^2+227/12
*p3*p1^4-603/8*p2^3*p1+149/8*p2^2*p1^3-103/120*p2*p1^5+1/120*p1^7)+a^6*b^3*(-
1358140*p6+213601*p5*p1+116425/2*p4*p2-31715/2*p4*p1^2+165358/9*p3^2-9239*p3*p2
*p1+6733/9*p3*p1^3-2673/4*p2^3+438*p2^2*p1^2-113/4*p2*p1^4+5/18*p1^6)+a^8*b*(-
41226*p8+71359/7*p7*p1+4032*p6*p2-1267*p6*p1^2+39062/15*p5*p3-1032*p5*p2*p1+
1594/15*p5*p1^3+2275/2*p4^2-2865/4*p4*p3*p1-225*p4*p2^2+1095/8*p4*p2*p1^2-55/8*
p4*p1^4-535/3*p3^2*p2+485/9*p3^2*p1^2+531/8*p3*p2^2*p1-157/12*p3*p2*p1^3+137/
360*p3*p1^5+27/8*p2^4-63/16*p2^3*p1^2+9/16*p2^2*p1^4-1/48*p2*p1^6+1/5040*p1^8)+
2027025*a*b^8*p1+a^8*(1/7*(1021020-80938*W+858*W^2)*p7+1/6*(-278586+20097*W-231
*W^2)*p6*p1+1/10*(-283710+15849*W-189*W^2)*p5*p2+1/10*(75138-5031*W+63*W^2)*p5*
p1^2+1/12*(-303450+14455*W-175*W^2)*p4*p3+1/8*(72635-8085/2*W+105/2*W^2)*p4*p2*
p1+1/24*(-19995+2555/2*W-35/2*W^2)*p4*p1^3+1/18*(74000-3810*W+50*W^2)*p3^2*p1+1
/24*(65070-3357*W+45*W^2)*p3*p2^2+1/12*(-18550+1059*W-15*W^2)*p3*p2*p1^2+1/72*(
5270-333*W+5*W^2)*p3*p1^4+1/48*(-16713+1863/2*W-27/2*W^2)*p2^3*p1+1/48*(4833-
585/2*W+9/2*W^2)*p2^2*p1^3+1/240*(-1405+183/2*W-3/2*W^2)*p2*p1^5+1/5040*(413-57
/2*W+1/2*W^2)*p1^7)+a^6*(1/3*(19885580-61638607/6*W+3287117/2*W^2-813999/8*W^3+
62575/24*W^4-839/24*W^5+5/24*W^6)*p3+1/2*(-8657434+40010449/12*W-1675209/4*W^2+
1099367/48*W^3-10091/16*W^4+151/16*W^5-1/16*W^6)*p2*p1+1/6*(2635706-10420481/12
*W+204471/2*W^2-92331/16*W^3+8423/48*W^4-139/48*W^5+1/48*W^6)*p1^3)+a^7*(1/5*(
9699690-4257701/2*W+516729/4*W^2-4695/2*W^3+63/4*W^4)*p5+1/4*(-3146465+6808955/
12*W-244885/8*W^2+7105/12*W^3-35/8*W^4)*p4*p1+1/6*(-3743082+1156605/2*W-102113/
4*W^2+979/2*W^3-15/4*W^4)*p3*p2+1/6*(910974-863969/6*W+29387/4*W^2-919/6*W^3+5/
4*W^4)*p3*p1^2+1/8*(951079-544707/4*W+51183/8*W^2-537/4*W^3+9/8*W^4)*p2^2*p1+1/
12*(-240003+142317/4*W-14677/8*W^2+167/4*W^3-3/8*W^4)*p2*p1^3+1/120*(62715-
114121/12*W+4183/8*W^2-155/12*W^3+1/8*W^4)*p1^5)+a^9*(25/27*p3^2*p1^3+35/16*p4*
p2*p1^3-25/3*p3^2*p2*p1+175/4*p4*p3*p2-7/96*p4*p1^5-315/32*p4*p2^2*p1+1225/32*
p4^2*p1+1/362880*p1^9-175/12*p4*p3*p1^2+21/20*p5*p1^4+27/128*p2^4*p1+1/216*p3*
p1^6+500/81*p3^3-5/24*p3*p2*p1^4+15/8*p3*p2^2*p1^2-15/8*p3*p2^3-1/3360*p2*p1^7+
3/320*p2^2*p1^5-3/32*p2^3*p1^3+231/2*p6*p2*p1+858/7*p7*p1^2-2574/7*p7*p2+567/20
*p5*p2^2+84*p5*p3*p1-770/3*p6*p3-6435/8*p8*p1-189/10*p5*p2*p1^2-441/2*p5*p4-77/
6*p6*p1^3+24310/9*p9)