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Results (16 matches)

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Label Polynomial Discriminant Galois group Class group
16.0.4045039500390625.1 x16 - 5x15 + 10x14 - 6x13 - 12x12 + 27x11 - 16x10 - 14x9 + 32x8 - 27x7 + 16x6 - 11x5 + 8x4 - 3x3 + 1 \( 5^{8}\cdot 11^{4}\cdot 29^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.0.8148125331379089.1 x16 - x15 - 6x14 + 4x13 + 15x12 - 6x11 - 20x10 + 7x9 + 21x8 - 7x7 - 20x6 + 6x5 + 15x4 - 4x3 - 6x2 + x + 1 \( 3^{12}\cdot 7^{6}\cdot 19^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.0.11272581919277056.1 x16 - 2x15 - x14 + 6x13 - 16x11 + 19x10 - 13x8 + 19x6 - 16x5 + 6x3 - x2 - 2x + 1 \( 2^{24}\cdot 7^{4}\cdot 23^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.0.14012498575360000.1 x16 - 2x15 + 6x13 - 10x12 + 6x11 + 12x10 - 34x9 + 46x8 - 34x7 + 12x6 + 6x5 - 10x4 + 6x3 - 2x + 1 \( 2^{28}\cdot 5^{4}\cdot 17^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.0.23642137600000000.2 x16 + 7x14 + 21x12 + 43x10 + 60x8 + 57x6 + 31x4 + 8x2 + 1 \( 2^{16}\cdot 5^{8}\cdot 31^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.0.36005299687890625.1 x16 - 3x15 + 3x14 - x13 + 2x12 - 8x11 + 14x10 - 18x9 + 29x8 - 49x7 + 66x6 - 71x5 + 57x4 - 33x3 + 17x2 - 6x + 1 \( 5^{8}\cdot 19^{4}\cdot 29^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.0.780705885094140625.1 x16 - 2x15 - 3x14 + 10x13 + 3x12 - 28x11 + 30x10 + 7x9 - 5x8 - 53x7 + 23x6 + 74x5 + 25x4 - 24x3 + 25x2 - 5x + 1 \( 5^{8}\cdot 29^{4}\cdot 41^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.8.252...625.1 x16 - 5x15 + 6x14 + 17x13 - 68x12 + 84x11 + 22x10 - 225x9 + 352x8 - 237x7 - 82x6 + 347x5 - 379x4 + 251x3 - 92x2 + 8x + 1 \( 5^{12}\cdot 11^{4}\cdot 29^{4} \) $D_4^2.C_2$ (as 16T388) trivial (GRH)
16.0.382...625.1 x16 - 2x15 + 13x14 - 15x13 + 53x12 - 35x11 + 110x10 + 8x9 + 171x8 + 63x7 + 141x6 + 52x5 + 59x4 + 11x3 + 11x2 - x + 1 \( 5^{8}\cdot 29^{4}\cdot 61^{4} \) $D_4^2.C_2$ (as 16T388) trivial (GRH)
16.8.463...000.1 x16 - 2x15 - 2x14 - 4x13 + 35x12 - 44x11 - 22x10 + 174x9 - 331x8 + 302x7 - 62x6 - 188x5 + 259x4 - 150x3 + 34x2 + 2x - 1 \( 2^{24}\cdot 5^{8}\cdot 29^{4} \) $D_4^2.C_2$ (as 16T388) trivial (GRH)
16.8.173...625.1 x16 - 3x15 - 6x14 + 33x13 - 30x12 - 74x11 + 204x10 - 45x9 - 383x8 + 321x7 + 305x6 - 432x5 - 59x4 + 216x3 - 17x2 - 16x + 1 \( 5^{8}\cdot 29^{4}\cdot 89^{4} \) $D_4^2.C_2$ (as 16T388) trivial (GRH)
16.8.287...625.1 x16 - 2x15 - 5x14 + 14x13 + 20x12 - 29x11 - 123x10 + 77x9 + 285x8 - 230x7 - 80x6 + 103x5 - 157x4 + 177x3 - 24x2 - 25x - 1 \( 5^{8}\cdot 29^{4}\cdot 101^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.0.772...736.1 x16 + 22x14 + 171x12 + 634x10 + 1229x8 + 1268x6 + 684x4 + 176x2 + 16 \( 2^{24}\cdot 41^{4}\cdot 113^{4} \) $D_4^2.C_2$ (as 16T388) trivial
16.0.145...625.1 x16 - 7x15 + 25x14 - 73x13 + 165x12 - 268x11 + 424x10 - 728x9 + 889x8 - 430x7 + 441x6 - 2659x5 + 3672x4 - 2629x3 + 2709x2 - 260x + 599 \( 5^{8}\cdot 29^{6}\cdot 89^{4} \) $D_4^2.C_2$ (as 16T388) $[2]$
16.16.332...625.1 x16 - 8x15 + 2x14 + 126x13 - 251x12 - 496x11 + 1829x10 - 642x9 - 3338x8 + 4884x7 - 2263x6 - 320x5 + 672x4 - 208x3 + 4x2 + 8x - 1 \( 5^{8}\cdot 19^{4}\cdot 29^{4}\cdot 31^{4} \) $D_4^2.C_2$ (as 16T388) trivial (GRH)
16.16.436...625.1 x16 - 2x15 - 23x14 + 35x13 + 192x12 - 209x11 - 721x10 + 498x9 + 1262x8 - 473x7 - 1028x6 + 181x5 + 384x4 - 13x3 - 55x2 - 5x + 1 \( 5^{8}\cdot 101^{4}\cdot 181^{4} \) $D_4^2.C_2$ (as 16T388) trivial (GRH)
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