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Label Polynomial Discriminant Galois group Class group
14.0.9095120158391.1 x14 - 7x13 + 25x12 - 59x11 + 103x10 - 141x9 + 159x8 - 153x7 + 129x6 - 95x5 + 58x4 - 27x3 + 10x2 - 3x + 1 \( -\,71^{7} \) $D_{7}$ (as 14T2) Trivial
14.0.9669040949311.1 x14 - x13 + 3x12 - 6x11 + 5x10 - 9x9 + 11x8 - 7x7 + 11x6 - 9x5 + 5x4 - 6x3 + 3x2 - x + 1 \( -\,19^{2}\cdot 79\cdot 18413^{2} \) 14T57 Trivial
14.0.9866941650479.1 x14 - 3x13 + 6x12 - 11x11 + 16x10 - 21x9 + 25x8 - 25x7 + 25x6 - 21x5 + 16x4 - 11x3 + 6x2 - 3x + 1 \( -\,167^{2}\cdot 191\cdot 1361^{2} \) 14T57 Trivial
14.0.11856232199187.1 x14 - x13 + x12 - x10 - x9 + x8 - x7 - x6 + 3x5 - 2x4 + x3 + x2 - x + 1 \( -\,3^{7}\cdot 5421231001 \) 14T61 Trivial
14.0.12985240103739.1 x14 - x13 + x12 - 4x11 + 4x10 - 2x9 + 5x8 - 6x7 + 2x6 - 2x5 + 5x4 - 2x3 - x + 1 \( -\,3^{7}\cdot 5937466897 \) 14T61 Trivial
14.0.13048447346663.1 x14 - x13 + 2x12 - 2x11 + 2x10 - 2x9 + x8 - x7 + x6 - 2x5 + 2x4 - 2x3 + 2x2 - x + 1 \( -\,23\cdot 37^{2}\cdot 20357^{2} \) 14T57 Trivial
14.0.16973485041483.1 x14 - 2x13 + 2x12 - 6x11 + 8x10 - 4x9 + 9x8 - 11x7 + 6x6 - 6x5 + 5x4 - 4x3 + 2x2 + 1 \( -\,3^{7}\cdot 37^{2}\cdot 2381^{2} \) $S_7\times C_2$ (as 14T49) Trivial
14.0.22139206005899.1 x14 - 3x13 + 4x12 - 2x11 + x10 - 4x9 + 9x8 - 11x7 + 9x6 - 4x5 + x4 - 2x3 + 4x2 - 3x + 1 \( -\,59\cdot 593^{2}\cdot 1033^{2} \) 14T57 Trivial
14.0.28466647927227.1 x14 - x13 + 2x12 + 3x11 - x10 + 4x9 + 3x8 + 2x7 + 2x4 - 2x3 - x2 + 1 \( -\,3^{7}\cdot 114089^{2} \) $S_7\times C_2$ (as 14T49) Trivial
14.0.51902598731283.1 x14 - 2x13 + 3x12 - 6x11 + 6x10 - 4x9 + 3x8 + x7 - x5 + 3x4 + 3x2 + x + 1 \( -\,3^{11}\cdot 17117^{2} \) $S_7\times C_2$ (as 14T49) Trivial
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
14.0.56316949686099.1 x14 - 2x13 + 6x12 - 11x11 + 19x10 - 26x9 + 33x8 - 35x7 + 33x6 - 26x5 + 19x4 - 10x3 + 6x2 - x + 1 \( -\,3^{7}\cdot 2953^{3} \) $D_7 \wr C_2$ (as 14T20) 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
14.0.74532401109963.1 x14 - x13 + 2x12 - x11 + 2x10 - 2x9 + 2x8 - 2x7 - 3x5 - x3 + 2x2 + x + 1 \( -\,3^{7}\cdot 184607^{2} \) $S_7\times C_2$ (as 14T49) Trivial
14.0.76600746490099.1 x14 - 2x13 + 6x12 - 8x11 + 16x10 - 17x9 + 24x8 - 21x7 + 24x6 - 17x5 + 16x4 - 8x3 + 6x2 - 2x + 1 \( -\,13^{4}\cdot 19\cdot 109^{4} \) 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
14.0.118236562059083.1 x14 - 3x13 + 2x12 + 3x11 - 5x10 - x9 + x8 + 2x7 + 11x6 - 13x5 + 6x4 - 8x3 + 4x2 + 1 \( -\,13\cdot 71^{7} \) 14T38 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
14.0.172575877556547.1 x14 - x13 - x12 + 2x10 + x9 - x8 - x7 - x6 + x5 + 2x4 - x2 - x + 1 \( -\,3^{7}\cdot 280909^{2} \) $S_7\times C_2$ (as 14T49) 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
14.4.250058750499647.1 x14 - 2x13 + x12 - x11 + x10 - 4x9 + 9x8 - 9x7 + 9x6 - 4x5 + x4 - x3 + x2 - 2x + 1 \( -\,47\cdot 107^{2}\cdot 21557^{2} \) 14T57 Trivial
14.0.263657868936003.1 x14 + x12 - 2x11 - x10 + 3x7 - x4 - 2x3 + x2 + 1 \( -\,3^{7}\cdot 103^{2}\cdot 3371^{2} \) $S_7\times C_2$ (as 14T49) Trivial
14.4.270118421833507.1 x14 - x13 - 3x12 - x11 + x10 + 2x8 + 7x7 + 3x6 + 4x5 + 9x4 + 7x3 + x2 + 1 \( -\,13^{4}\cdot 67\cdot 109^{4} \) 14T51 Trivial
14.0.280155320935227.1 x14 - x13 + 2x12 - x11 + 3x10 - 4x9 + 3x8 - 4x7 + 2x6 - 4x5 + 2x4 + 5x2 + 2x + 1 \( -\,3^{7}\cdot 71^{6} \) $D_{14}$ (as 14T3) Trivial
14.4.297261105546875.1 x14 - 3x12 - x11 + 5x10 + 3x9 - 6x8 - 6x7 + 3x6 + 7x5 - 4x3 - 2x2 + x + 1 \( -\,5^{7}\cdot 89\cdot 971\cdot 44029 \) 14T61 Trivial
14.0.318497840669359.1 x14 - 4x13 + 8x12 - 10x11 + 15x10 - 28x9 + 42x8 - 41x7 + 32x6 - 31x5 + 37x4 - 35x3 + 21x2 - 7x + 1 \( -\,13^{4}\cdot 79\cdot 109^{4} \) 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
14.4.334624313614643.1 x14 - x13 - 4x12 + 3x11 + 3x10 + 3x9 + 2x8 - 12x7 + x5 + 2x4 + 6x3 - 3x2 + x - 1 \( -\,13^{4}\cdot 83\cdot 109^{4} \) 14T51 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
14.0.407483719072587.1 x14 - x13 + 4x12 - x11 + 4x10 + 2x9 - 6x8 + 3x7 - 6x6 + 2x5 + 4x4 - x3 + 4x2 - x + 1 \( -\,3^{15}\cdot 73^{4} \) $A_7\times C_2$ (as 14T47) Trivial
14.4.411650990546875.1 x14 - 3x12 - 2x11 + 5x10 + 4x9 - 6x8 - 7x7 + 7x6 + 9x5 - 4x4 - 6x3 + 2x2 + 2x - 1 \( -\,5^{7}\cdot 24851\cdot 212029 \) 14T61 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
14.0.445660887761159.1 x14 - x13 + 6x12 - 4x11 + 12x10 - 2x9 + 11x8 + 3x7 + 11x6 - 2x5 + 12x4 - 4x3 + 6x2 - x + 1 \( -\,7^{2}\cdot 71^{7} \) 14T27 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
14.4.498897726810659.1 x14 - 2x13 + 3x11 - 7x10 + x9 + 14x8 - 2x7 - 13x6 + 2x5 + 4x4 - 4x3 + 3x + 1 \( -\,11^{3}\cdot 71^{2}\cdot 8623^{2} \) 14T57 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
14.4.569282687307707.1 x14 - 2x13 + x12 + 6x11 - 14x10 + 15x9 - 4x8 - 17x7 + 25x6 - 19x5 + 6x4 + 4x3 - x2 - x - 1 \( -\,107^{3}\cdot 21557^{2} \) 14T57 Trivial

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