Learn more about

Further refine search

Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
12.4.122518687578125.1 x12 - 2x11 - 2x10 + 4x9 - 3x8 - 3x7 + 5x6 - 3x5 - 3x4 + 4x3 - 2x2 - 2x + 1 \( 5^{7}\cdot 199^{4} \) 12T159 Trivial
12.8.729103595703125.1 x12 - 3x11 - 5x10 + 19x9 + 7x8 - 34x7 - 23x6 + 29x5 + 52x4 - 28x3 - 17x2 + 2x + 1 \( 5^{9}\cdot 139^{4} \) 12T159 Trivial
12.8.1042568000000000.1 x12 - 6x11 + 7x10 + 14x9 - 14x8 - 42x7 + 31x6 + 44x5 - 42x4 - 2x3 + 17x2 - 8x + 1 \( 2^{12}\cdot 5^{9}\cdot 19^{4} \) 12T159 Trivial
12.8.3192864500000000.1 x12 - 5x11 + 2x10 + 18x9 - 41x8 + 52x7 + 7x6 - 114x5 + 105x4 - 2x3 - 24x2 + x + 1 \( 2^{8}\cdot 5^{9}\cdot 7^{2}\cdot 19^{4} \) 12T159 Trivial
12.8.9138614080078125.1 x12 - x11 - 3x10 + 9x9 - 9x8 - 32x7 + 21x6 + 59x5 + 8x4 - 42x3 - 23x2 + 2x + 1 \( 3^{2}\cdot 5^{9}\cdot 151^{4} \) 12T159 Trivial
12.4.16681088000000000.1 x12 - 2x11 - 10x10 + 6x9 + 42x8 + 4x7 - 98x6 - 24x5 + 72x4 - 52x3 - 212x2 + 248x + 356 \( 2^{16}\cdot 5^{9}\cdot 19^{4} \) 12T159 Trivial
12.4.82247526720703125.1 x12 - 5x11 + 6x10 - 2x9 + 21x8 - 29x7 - 60x6 + 34x5 + 38x4 - 201x3 - 396x2 - 117x - 9 \( 3^{4}\cdot 5^{9}\cdot 151^{4} \) 12T159 Trivial
12.4.118210688000000000.1 x12 - 2x11 - 2x10 - 8x9 + 46x8 + 56x7 - 376x6 + 112x5 + 768x4 - 304x3 - 332x2 - 664x - 4 \( 2^{16}\cdot 5^{9}\cdot 31^{4} \) 12T159 Trivial
12.0.501836544320000000.1 x12 + 14x10 + 68x8 + 148x6 + 149x4 + 60x2 + 5 \( 2^{12}\cdot 5^{7}\cdot 199^{4} \) 12T159 $[10]$
12.12.501836544320000000.1 x12 - 14x10 + 68x8 - 148x6 + 149x4 - 60x2 + 5 \( 2^{12}\cdot 5^{7}\cdot 199^{4} \) 12T159 Trivial (GRH)
12.0.634278221120000000.1 x12 - 6x11 + 13x10 - 2x9 - 16x8 - 2x7 + 35x6 + 34x5 - 72x4 + 200x3 + 451x2 + 426x + 269 \( 2^{12}\cdot 5^{7}\cdot 211^{4} \) 12T159 $[2]$
12.12.966804706061975552.1 x12 - 16x10 + 92x8 - 232x6 + 252x4 - 96x2 + 8 \( 2^{33}\cdot 103^{4} \) 12T159 Trivial


Download all search results for