## Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
12.0.1600000000000000.1 x12 - 2x11 - 4x10 + 10x9 + 15x8 - 38x7 - 24x6 + 72x5 + 30x4 - 80x3 - 34x2 + 38x + 31 $$2^{18}\cdot 5^{14}$$ $A_5$ (as 12T33) $[2]$
12.0.1828652958613504.1 x12 - 4x11 + 2x10 + 19x8 - 12x7 - 4x6 - 12x5 + 19x4 + 2x2 - 4x + 1 $$2^{18}\cdot 17^{8}$$ $A_5$ (as 12T33) $[5]$
12.0.4452139149819904.2 x12 + 4x10 + 10x8 - 10x6 + 17x4 + 10x2 + 1 $$2^{18}\cdot 19^{8}$$ $A_5$ (as 12T33) Trivial
12.0.40000000000000000.2 x12 + 4x10 - 10x8 + 30x6 + 65x4 + 34x2 + 1 $$2^{18}\cdot 5^{16}$$ $A_5$ (as 12T33) Trivial
12.0.40000000000000000.5 x12 - 6x11 + 24x10 - 60x9 + 110x8 - 134x7 + 114x6 - 46x5 + 5x4 + 36x2 - 36x + 19 $$2^{18}\cdot 5^{16}$$ $A_5$ (as 12T33) Trivial
12.0.40000000000000000.11 x12 + 10x10 + 50x8 + 180x6 + 345x4 + 274x2 + 100 $$2^{18}\cdot 5^{16}$$ $A_5$ (as 12T33) $[2]$
12.0.131136595679248384.3 x12 + 10x8 + 22x6 + 9x4 + 142x2 + 9 $$2^{18}\cdot 29^{8}$$ $A_5$ (as 12T33) Trivial
12.0.131136595679248384.6 x12 + 2x8 + 58x6 + 301x4 + 174x2 + 25 $$2^{18}\cdot 29^{8}$$ $A_5$ (as 12T33) $[5]$
12.0.223580268118933504.14 x12 - 4x11 + 10x10 - 22x9 + 46x8 - 80x7 + 92x6 - 70x5 + 61x4 - 86x3 + 94x2 - 8x + 31 $$2^{18}\cdot 31^{8}$$ $A_5$ (as 12T33) Trivial
12.0.2560000000000000000.23 x12 + 2x10 - 10x8 - 10x6 + 25x4 + 68x2 + 196 $$2^{24}\cdot 5^{16}$$ $A_5$ (as 12T33) $[2, 2]$
12.12.629599793037598310656.1 x12 - 6x11 - 17x10 + 140x9 + 20x8 - 986x7 + 323x6 + 3136x5 - 920x4 - 4850x3 + 115x2 + 3044x + 1055 $$2^{8}\cdot 199^{8}$$ $A_5$ (as 12T33) $[2]$
12.12.734661949275345164544.1 x12 - 35x10 - 52x9 + 308x8 + 808x7 - 249x6 - 2810x5 - 3596x4 - 1830x3 - 267x2 + 54x + 9 $$2^{8}\cdot 3^{6}\cdot 89^{8}$$ $A_5$ (as 12T33) Trivial