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Label Polynomial Discriminant Galois group Class group
14.2.52058057626129.1 x14 - 2x13 + 3x12 - 4x11 + 4x10 - 4x9 + 4x8 - 5x7 + 4x6 - 4x5 + 4x4 - 4x3 + 3x2 - 2x + 1 \( 7215127^{2} \) 14T55 Trivial
14.2.54815765790289.1 x14 + x12 - 2x8 - x7 - 2x6 + x2 + 1 \( 7^{2}\cdot 1057681^{2} \) 14T55 Trivial
14.2.55059380046329.1 x14 - 4x13 + 6x12 - x11 - 10x10 + 18x9 - 18x8 + 15x7 - 13x6 + 11x5 - 8x4 + 6x3 - 3x2 + 1 \( 277^{2}\cdot 569\cdot 1123^{2} \) 14T57 Trivial
14.2.62662828387597.1 x14 - x13 - 3x12 + 5x11 + 2x10 - 11x9 + 4x8 + 11x7 - 11x6 - 2x5 + 10x4 - 4x3 - 2x2 + 3x - 1 \( 167^{2}\cdot 1213\cdot 1361^{2} \) 14T57 Trivial
14.2.63097400703125.1 x14 - 3x13 + 2x12 + 4x11 - 8x10 + 2x9 + 8x8 - 10x7 + x6 + 7x5 - 6x4 + x3 + 2x2 - x + 1 \( 5^{7}\cdot 807646729 \) 14T61 Trivial
14.2.68537510017457.1 x14 - 4x13 + 10x12 - 15x11 + 11x10 + 6x9 - 26x8 + 35x7 - 26x6 + 6x5 + 11x4 - 15x3 + 10x2 - 4x + 1 \( 13^{4}\cdot 17\cdot 109^{4} \) 14T51 Trivial
14.2.78352380449344.1 x14 - 2x12 + x10 + 2x8 - 3x6 + x4 - 1 \( 2^{6}\cdot 23^{2}\cdot 73^{2}\cdot 659^{2} \) 14T55 Trivial
14.2.94241555580481.1 x14 - x12 - 2x9 + 3x7 - 2x5 - x2 + 1 \( 43^{2}\cdot 401^{2}\cdot 563^{2} \) 14T55 Trivial
14.2.94724481953125.1 x14 - x13 - 2x12 + 5x11 + 2x10 - 9x9 + 2x8 + 10x7 - 6x6 - 6x5 + 7x4 + x3 - 4x2 + 1 \( 5^{7}\cdot 199\cdot 6092831 \) 14T61 Trivial
14.2.103886084489093.1 x14 - 3x12 - 3x11 + 6x10 + 7x9 - 5x8 - 12x7 + 2x6 + 11x5 + x4 - 7x3 - 2x2 + 4x - 1 \( 53\cdot 977^{2}\cdot 1433^{2} \) 14T57 Trivial
14.2.116768679686993.1 x14 - 3x13 + 7x12 - 14x11 + 21x10 - 29x9 + 35x8 - 37x7 + 35x6 - 29x5 + 21x4 - 14x3 + 7x2 - 3x + 1 \( 257\cdot 674057^{2} \) 14T57 Trivial
14.2.154291569457229.1 x14 - x13 + x12 - 2x11 + 2x10 - 3x9 + 3x8 - 3x7 + 3x6 - 3x5 + 2x4 - 2x3 + x2 - x + 1 \( 29\cdot 107^{2}\cdot 21557^{2} \) 14T57 Trivial
14.2.160805685121205.1 x14 + x12 - x9 - x8 - x7 - x6 - x5 + x2 + 1 \( 5\cdot 41^{2}\cdot 138319^{2} \) 14T57 Trivial
14.2.212764932023296.1 x14 - x10 + x8 + x2 - 1 \( 2^{10}\cdot 455827^{2} \) 14T55 Trivial
14.2.245928712415581.1 x14 - x13 + 4x12 - x11 + 3x10 + 3x9 - 4x8 + 9x7 - 16x6 + 14x5 - 21x4 + 10x3 - 9x2 + 2x - 1 \( 13^{4}\cdot 61\cdot 109^{4} \) 14T51 Trivial
14.2.321952970703125.1 x14 - 3x13 + 2x12 + 3x11 - 7x10 + 11x9 - 25x8 + 33x7 - 4x6 - 56x5 + 93x4 - 78x3 + 38x2 - 10x + 1 \( 5^{9}\cdot 37^{2}\cdot 347^{2} \) $S_7\times C_2$ (as 14T49) Trivial
14.2.386441371953125.1 x14 - x13 - 2x12 + 4x11 - 2x10 - 3x9 + x8 + 6x6 - 11x5 + 5x4 - 12x3 + 24x2 - 20x + 5 \( 5^{7}\cdot 53^{2}\cdot 1327^{2} \) $S_7\times C_2$ (as 14T49) Trivial
14.2.391066968923137.1 x14 - 4x13 + 5x12 + 4x11 - 14x10 + 5x9 + 13x8 - 9x7 - 9x6 + 8x5 + 4x4 - 5x3 + x - 1 \( 13^{4}\cdot 97\cdot 109^{4} \) 14T51 Trivial
14.2.422859037223221.1 x14 - 2x13 - 4x12 + 6x11 + 10x10 - 3x9 - 19x8 - 6x7 + 27x6 - x5 - 20x4 + 9x3 + 4x2 - 4x + 1 \( 71^{6}\cdot 3301 \) 14T38 Trivial
14.2.493856488203125.1 x14 - 2x13 + 6x11 - 3x10 - 8x9 + 13x8 + 4x7 - 16x6 + 7x5 + 13x4 - 11x3 - 4x2 + 6x - 1 \( 5^{7}\cdot 43^{6} \) $D_{14}$ (as 14T3) Trivial
14.2.508017475013049.1 x14 - x11 - x10 - 4x9 + x7 - 4x5 - x4 - x3 + 1 \( 3^{2}\cdot 2741^{4} \) 14T50 Trivial
14.2.511335829405696.1 x14 + x12 - 3x10 - 2x8 + 5x6 + 2x4 - 2x2 - 1 \( 2^{16}\cdot 19^{2}\cdot 4649^{2} \) 14T55 Trivial
14.2.552331698375977.1 x14 - 4x13 + 8x12 - 10x11 + 5x10 + 3x9 - 10x8 + 7x7 - x6 - 2x5 + 5x4 + x2 + 3x + 1 \( 13^{4}\cdot 109^{4}\cdot 137 \) 14T51 Trivial
14.2.729722900774101.1 x14 - 3x12 - x11 + 10x10 - x9 - 10x8 + 2x7 + 10x6 + 5x5 - 4x4 - 2x3 + 3x2 + 2x - 1 \( 13^{4}\cdot 109^{4}\cdot 181 \) 14T51 Trivial
14.2.788759961620480.1 x14 - x13 - x11 + x10 + 2x9 - 3x8 + 3x7 - 3x6 + 2x5 + x4 - x3 - x + 1 \( 2^{12}\cdot 5\cdot 443^{4} \) 14T51 Trivial
14.2.842608211391089.1 x14 - 2x13 - x12 + 3x11 - 3x10 + 4x9 + x8 + 5x7 + x6 + 4x5 - 3x4 + 3x3 - x2 - 2x + 1 \( 11\cdot 13^{4}\cdot 19\cdot 109^{4} \) 14T51 Trivial
14.2.890987630226941.1 x14 - 2x13 + 2x12 - 6x10 + x9 + 4x8 - 13x7 + 4x6 + x5 - 6x4 + 2x2 - 2x + 1 \( 13^{5}\cdot 17\cdot 109^{4} \) 14T51 Trivial
14.2.923240576117509.1 x14 - 5x13 + 11x12 - 16x11 + 18x10 - 21x9 + 27x8 - 31x7 + 27x6 - 21x5 + 18x4 - 16x3 + 11x2 - 5x + 1 \( 13^{4}\cdot 109^{4}\cdot 229 \) 14T51 Trivial
14.2.923240576117509.2 x14 - x13 + 3x12 - 3x11 + 3x10 - 10x9 + 16x8 - 27x7 + 33x6 - 21x5 + 10x4 + 3x3 - 10x2 + 3x + 1 \( 13^{4}\cdot 109^{4}\cdot 229 \) 14T51 Trivial
14.2.959588563913537.1 x14 - 6x13 + 15x12 - 18x11 - x10 + 52x9 - 125x8 + 189x7 - 217x6 + 198x5 - 146x4 + 83x3 - 33x2 + 8x - 1 \( 17\cdot 2741^{4} \) 14T51 Trivial
14.2.971619994953361.1 x14 - 6x13 + 15x12 - 22x11 + 26x10 - 41x9 + 81x8 - 135x7 + 173x6 - 172x5 + 130x4 - 75x3 + 32x2 - 9x + 1 \( 13^{4}\cdot 109^{4}\cdot 241 \) 14T51 Trivial
14.2.973177856947837.1 x14 - 3x13 + 3x12 - 13x10 + 27x9 - 4x8 - 31x7 + 36x6 - 14x5 - 13x4 + 22x3 - 15x2 + 6x - 1 \( 71^{7}\cdot 107 \) 14T38 Trivial
14.2.1068249673759921.1 x14 + x12 - x10 + 2x8 - 7x6 + x4 + 3x2 - 1 \( 5717^{4} \) 14T34 Trivial
14.2.1116758251460917.1 x14 - 3x13 + 5x12 - 2x11 - 5x10 + 12x9 - 3x8 - 3x7 + 11x6 - 4x4 - x3 - 3x2 - 3x - 1 \( 13^{4}\cdot 109^{4}\cdot 277 \) 14T51 Trivial
14.2.1261896507968473.1 x14 - 5x13 + 12x12 - 21x11 + 29x10 - 34x9 + 36x8 - 37x7 + 36x6 - 34x5 + 29x4 - 21x3 + 12x2 - 5x + 1 \( 13^{4}\cdot 109^{4}\cdot 313 \) 14T51 Trivial
14.2.1261896507968473.2 x14 - 3x13 + 7x12 - 15x11 + 25x10 - 36x9 + 45x8 - 49x7 + 45x6 - 36x5 + 25x4 - 15x3 + 7x2 - 3x + 1 \( 13^{4}\cdot 109^{4}\cdot 313 \) 14T51 Trivial
14.2.1278022980913757.1 x14 - 3x13 + 8x12 - 17x11 + 29x10 - 36x9 + 38x8 - 23x7 - 3x6 + 35x5 - 46x4 + 42x3 - 21x2 + 8x - 1 \( 13^{4}\cdot 109^{4}\cdot 317 \) 14T51 Trivial
14.2.1328264921546161.1 x14 - 2x12 - 3x10 + 10x8 - 6x6 - 5x4 + 7x2 - 1 \( 6037^{4} \) 14T34 Trivial
14.2.2098795051761664.1 x14 - 2x12 + 2x10 + x6 - 3x4 + x2 - 1 \( 2^{14}\cdot 71^{6} \) 14T28 Trivial
14.2.2098795051761664.2 x14 + x12 - x10 - x8 - x6 + x4 + 2x2 - 1 \( 2^{14}\cdot 71^{6} \) 14T28 Trivial
14.2.2647140367335424.1 x14 - 3x12 + x10 + x8 - x6 + 7x4 - x2 - 1 \( 2^{18}\cdot 317^{4} \) 14T50 Trivial
14.2.3329851404800000.1 x14 - 3x13 + 4x12 - 5x11 + 5x10 + 2x9 - 9x8 + 7x7 - 3x6 + 2x5 - 7x4 + 5x3 - 4x2 + x - 1 \( 2^{12}\cdot 5^{5}\cdot 127^{4} \) 14T43 Trivial
14.2.3405373945327868.1 x14 - 2x13 + x12 + x11 - 3x10 + 2x9 + x8 - 3x7 + 3x6 + x5 - 3x4 + x3 + x2 - 2x - 1 \( 2^{2}\cdot 571\cdot 1490969328077 \) 14T63 Trivial
14.2.4396746947664269.1 x14 - x13 - x12 + 2x11 + 2x10 - 9x9 + 5x8 + x7 + 5x6 - 9x5 + 2x4 + 2x3 - x2 - x + 1 \( 11^{8}\cdot 29^{5} \) 14T56 Trivial
14.2.5712803040866857.1 x14 - 3x13 + 8x12 - 15x11 + 24x10 - 26x9 + 23x8 - 22x7 + 23x6 - 22x5 + 9x4 - 7x3 + 3x2 - 6x - 1 \( 13^{5}\cdot 109^{5} \) $C_2\times \PSL(2,7)$ (as 14T17) Trivial
14.2.5712803040866857.2 x14 - 3x13 + 8x12 - 13x11 + 15x10 - 14x9 - x7 - 14x5 + 15x4 - 13x3 + 8x2 - 3x + 1 \( 13^{5}\cdot 109^{5} \) $C_2\times \PSL(2,7)$ (as 14T17) Trivial
14.2.7108512163632049.1 x14 - 2x13 - 5x12 + 15x11 + 5x10 - 44x9 + 17x8 + 66x7 - 51x6 - 56x5 + 54x4 + 33x3 - 14x2 + x + 5 \( 17^{6}\cdot 131^{4} \) 14T53 Trivial
14.2.7729847623880704.1 x14 - 5x13 + 7x12 + x11 - x10 - 9x9 - 23x8 + 61x7 - 38x6 + 22x5 - 24x4 + 10x3 - 4x2 + 2x - 2 \( 2^{12}\cdot 7^{2}\cdot 443^{4} \) 14T50 Trivial
14.2.9242067299140625.1 x14 - 2x13 + 5x12 - 5x11 + 8x10 - 10x9 + x8 - 2x7 - 5x6 + 8x5 + 10x4 + 2x3 - 6x2 - x + 1 \( 5^{7}\cdot 4909^{3} \) $D_7 \wr C_2$ (as 14T20) Trivial
14.2.9604489472586752.1 x14 - 2x13 + x12 + x11 - 3x10 + 2x9 + x8 - 4x7 + 3x6 + 2x5 - 3x4 + x3 + x2 - 2x - 1 \( 2^{10}\cdot 2109097\cdot 4447109 \) 14T63 Trivial
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