Expansion of the powers of the discriminant in terms of Schur functions


Admissible partitions

Admissible partitions of the discriminant
alphabet of size 2(16o)
alphabet of size 3(55o)
alphabet of size 4(227o)
alphabet of size 5(1.023Ko)
alphabet of size 6(5.097ko)
alphabet of size 7(27.217ko)
alphabet of size 8(152.039ko)
alphabet of size 9(0.87Mo)
alphabet of size 10(4.99Mo)
alphabet of size 11(29.44Mo)

The square of the discriminant
alphabet of size 2(24o)
alphabet of size 3(144o)
alphabet of size 4(1.13Ko)
alphabet of size 5(10.03ko)
alphabet of size 6(94.42ko)
alphabet of size 7(922.12Ko)

Discriminant to the power 3
alphabet of size 2(32o)
alphabet of size 3(293o)
alphabet of size 4(3.44Ko)
alphabet of size 5(43.8ko)
alphabet of size 6(589.92ko)

Discriminant to the power 4
alphabet of size 2(40o)
alphabet of size 3(510o)
alphabet of size 4(7.73Ko)
alphabet of size 5(127.69ko)
alphabet of size 6(2.23Mo)

Discriminant to the power 5
alphabet of size 2(45o)
alphabet of size 3(782o)
alphabet of size 4(14.6Ko)
alphabet of size 5(296.07ko)

Expansion of a power of the discriminant

Expansion of the discriminant
alphabet of size 2(27o)
alphabet of size 3(63o)
alphabet of size 4(225o)
alphabet of size 5(0.954Ko)
alphabet of size 6(4.662ko)
alphabet of size 7(24.697ko)
alphabet of size 8(136.963ko)
alphabet of size 9(0.785Mo)
alphabet of size 10(4.47Mo)
alphabet of size 11(29.44Mo)

Expansion of the square of the discriminant
alphabet of size 2(43o)
alphabet of size 3(173o)
alphabet of size 4(1.2ko)
alphabet of size 5(10.36Ko)
alphabet of size 6(97.345ko)
alphabet of size 7(954.48ko)

Expansion of the discriminant to the power 3
alphabet of size 2(53o)
alphabet of size 3(346o)
alphabet of size 4(3.88ko)
alphabet of size 5(49.57Ko)
alphabet of size 6(670.434ko)

Expansion of the discriminant to the power 4
alphabet of size 2(64o)
alphabet of size 3(617o)
alphabet of size 4(9.36ko)
alphabet of size 5(155.62Ko)

Expansion of the discriminant to the power 5
alphabet of size 2(78o)
alphabet of size 3(1.004ko)
alphabet of size 4(18.84ko)
alphabet of size 5(371.65Ko)

Vanishing partitions


For the discriminant
alphabet of size 8(194o)
alphabet of size 9(1810o)
alphabet of size 10(11.896ko)
alphabet of size 11(371.65Ko)
For the square of the discriminant
alphabet of size 6(127o)
alphabet of size 7(1119o)
For the discriminant to the power 3
alphabet of size 5(38o)
alphabet of size 6(310o)
For the discriminant to the power 4
alphabet of size 5(312o)

Source C

hankel.c
makefile