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Results (displaying all 39 matches)

Label Polynomial Discriminant Galois group Class group
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
14.4.270118421833507.1 x14 - x13 - 3x12 - x11 + x10 + 2x8 + 7x7 + 3x6 + 4x5 + 9x4 + 7x3 + x2 + 1 \( -\,13^{4}\cdot 67\cdot 109^{4} \) 14T51 Trivial
14.4.297261105546875.1 x14 - 3x12 - x11 + 5x10 + 3x9 - 6x8 - 6x7 + 3x6 + 7x5 - 4x3 - 2x2 + x + 1 \( -\,5^{7}\cdot 89\cdot 971\cdot 44029 \) 14T61 Trivial
14.4.334624313614643.1 x14 - x13 - 4x12 + 3x11 + 3x10 + 3x9 + 2x8 - 12x7 + x5 + 2x4 + 6x3 - 3x2 + x - 1 \( -\,13^{4}\cdot 83\cdot 109^{4} \) 14T51 Trivial
14.4.411650990546875.1 x14 - 3x12 - 2x11 + 5x10 + 4x9 - 6x8 - 7x7 + 7x6 + 9x5 - 4x4 - 6x3 + 2x2 + 2x - 1 \( -\,5^{7}\cdot 24851\cdot 212029 \) 14T61 Trivial
14.4.498897726810659.1 x14 - 2x13 + 3x11 - 7x10 + x9 + 14x8 - 2x7 - 13x6 + 2x5 + 4x4 - 4x3 + 3x + 1 \( -\,11^{3}\cdot 71^{2}\cdot 8623^{2} \) 14T57 Trivial
14.4.569282687307707.1 x14 - 2x13 + x12 + 6x11 - 14x10 + 15x9 - 4x8 - 17x7 + 25x6 - 19x5 + 6x4 + 4x3 - x2 - x - 1 \( -\,107^{3}\cdot 21557^{2} \) 14T57 Trivial
14.4.673916269391159.1 x14 - 3x13 + 4x12 - x11 - 7x10 + 13x9 - 10x8 - 5x7 + 15x6 - 10x5 - 2x4 + 7x3 - 2x2 + 1 \( -\,23^{2}\cdot 29^{2}\cdot 31^{2}\cdot 71\cdot 149^{2} \) 14T57 Trivial
14.4.1157074433824127.1 x14 - 2x13 - x12 + 7x11 - 8x10 + 6x9 - 3x8 - 9x7 + 15x6 - 9x5 + 5x4 - 2x3 - 2x2 + 1 \( -\,7\cdot 13^{4}\cdot 41\cdot 109^{4} \) 14T51 Trivial
14.4.1237706798550547.1 x14 - 3x13 + 3x12 + 4x11 - 14x10 + 16x9 - 5x8 - 6x7 + 12x6 - 16x5 + 17x4 - 11x3 + 2x2 + 2x - 1 \( -\,13^{4}\cdot 109^{4}\cdot 307 \) 14T51 Trivial
14.4.1237706798550547.2 x14 - 4x13 + 9x12 - 12x11 + x10 + 23x9 - 41x8 + 46x7 - 43x6 + 36x5 - 25x4 + 11x3 - 6x2 + 4x - 1 \( -\,13^{4}\cdot 109^{4}\cdot 307 \) 14T51 Trivial
14.4.1524052425039147.1 x14 - 6x13 + 20x12 - 46x11 + 79x10 - 108x9 + 113x8 - 92x7 + 46x6 - 5x5 - 21x4 + 19x3 - 10x2 + 1 \( -\,3^{3}\cdot 2741^{4} \) 14T43 Trivial
14.4.1544109784510943.1 x14 - 2x13 - 2x12 + 6x11 - x10 - 3x9 - 2x7 + 10x6 - 2x5 - 11x4 + 4x3 + 4x2 - 2x - 1 \( -\,13^{4}\cdot 109^{4}\cdot 383 \) 14T51 Trivial
14.4.1689248041018499.1 x14 - 7x13 + 22x12 - 41x11 + 51x10 - 46x9 + 29x8 - 5x7 - 17x6 + 26x5 - 23x4 + 15x3 - 7x2 + 2x + 1 \( -\,13^{4}\cdot 109^{4}\cdot 419 \) 14T51 Trivial
14.4.2837756470349143.1 x14 - x13 + x12 - x11 - x10 - 3x8 + x7 - 3x6 - x4 - x3 + x2 - x + 1 \( -\,7\cdot 71^{2}\cdot 283583^{2} \) 14T57 Trivial
14.4.3222197555141171.1 x14 - 7x13 + 22x12 - 41x11 + 46x10 - 21x9 - 25x8 + 61x7 - 63x6 + 38x5 - 9x4 - 6x3 + 9x2 - 5x + 1 \( -\,17^{4}\cdot 131^{5} \) 14T56 Trivial
14.4.3808955502493696.1 x14 - 2x13 + x12 + 8x11 - 16x10 + 10x9 + 18x8 - 32x7 + 18x6 + 10x5 - 16x4 + 8x3 + x2 - 2x + 1 \( -\,2^{16}\cdot 491^{4} \) 14T43 Trivial
14.4.7488261696523347.1 x14 - x10 - x8 - x7 - x6 - x4 + 1 \( -\,3^{3}\cdot 16653619^{2} \) 14T57 Trivial
14.4.7651638724807467.1 x14 - x13 - 5x12 - 2x11 + 8x10 + 7x9 - 3x8 - 9x7 - 12x6 - 11x5 + 8x4 + 16x3 + 5x2 - 2x - 1 \( -\,3^{13}\cdot 13^{2}\cdot 73^{4} \) 14T56 Trivial
14.4.922101103923347456.1 x14 - 2x11 - 10x10 - 4x9 - 6x8 + 2x7 + 15x6 + 12x5 + 16x4 + 10x3 + 4x2 + 2x - 1 \( -\,2^{14}\cdot 56280584956259 \) 14T63 Trivial
14.4.1291584793751038115.1 x14 - x13 - 3x12 + 7x11 - 9x10 + x9 + 8x8 - 15x7 + 8x6 + x5 - 9x4 + 7x3 - 3x2 - x + 1 \( -\,5\cdot 7\cdot 577^{6} \) 14T38 Trivial
14.4.3356573985781317632.1 x14 - 4x13 + 10x11 + 16x10 - 28x9 - 76x8 + 38x7 + 164x6 + 48x5 - 188x4 - 244x3 + 150x2 + 124x - 34 \( -\,2^{20}\cdot 317^{5} \) $C_2\times \PSL(2,7)$ (as 14T17) Trivial
14.4.3356573985781317632.2 x14 - 4x13 - 2x12 + 22x11 - 8x10 - 66x9 + 150x8 - 190x7 + 138x6 - 40x5 - 22x4 + 52x3 - 44x2 + 16x - 2 \( -\,2^{20}\cdot 317^{5} \) $C_2\times \PSL(2,7)$ (as 14T17) Trivial
14.4.3704349534869766103.1 x14 - 3x13 - 9x12 + 31x11 + 27x10 - 119x9 - 27x8 + 211x7 - 7x6 - 175x5 + 24x4 + 59x3 - 10x2 - 5x + 3 \( -\,3704349534869766103 \) 14T63 Trivial
14.4.3907823013550959364.1 x14 - 2x13 - 2x12 + x11 - 5x10 - 3x9 - 4x8 - 4x7 - 4x6 - 3x5 - 5x4 + x3 - 2x2 - 2x + 1 \( -\,2^{2}\cdot 149^{4}\cdot 211^{4} \) 14T56 Trivial
14.4.3907823013550959364.2 x14 - 2x13 - x11 + 2x10 + 2x8 + 2x6 + 2x4 - x3 - 2x + 1 \( -\,2^{2}\cdot 149^{4}\cdot 211^{4} \) 14T56 Trivial
14.4.4057595415657201664.1 x14 - 2x13 + 5x12 - 20x11 + 23x10 - 22x9 + 29x8 + 50x7 - 153x6 + 100x5 + 49x4 - 44x3 + 53x2 - 30x + 14 \( -\,2^{14}\cdot 3967^{4} \) 14T51 Trivial
14.4.6457923968755190575.1 x14 - 5x13 + 9x12 - 5x11 - 20x10 + 55x9 - 66x8 + 65x7 - 2x6 + 16x5 + 54x4 + 8x3 + 25x2 - 6x - 1 \( -\,5^{2}\cdot 7\cdot 577^{6} \) 14T38 Trivial
14.4.7100791977400102912.1 x14 - 2x13 - 6x12 - 8x11 - 10x10 + 4x9 + 4x8 + 18x7 + 4x6 + 4x5 - 10x4 - 8x3 - 6x2 - 2x + 1 \( -\,2^{12}\cdot 7\cdot 3967^{4} \) 14T51 Trivial
14.4.13298694865517712743.1 x14 - 2x13 + x12 + 17x11 - 48x10 + 56x9 + 15x8 - 256x7 + 331x6 - 302x5 - 332x4 + 488x3 - 417x2 - 144x + 353 \( -\,23^{3}\cdot 239^{3}\cdot 431^{3} \) 14T54 Trivial
14.4.17919711399714597719.1 x14 - 6x13 + 24x12 - 62x11 + 103x10 - 80x9 - 122x8 + 280x7 - 148x6 - 546x5 + 819x4 - 146x3 - 595x2 + 418x + 299 \( -\,61^{3}\cdot 42899^{3} \) 14T54 Trivial
14.4.25473388759225315363.1 x14 - 3x13 - 2x12 + x11 + 30x10 + 45x9 - 200x8 - 45x7 + 257x6 - 121x5 + 614x4 + 323x3 - 1565x2 - 559x + 523 \( -\,7^{3}\cdot 13^{6}\cdot 109^{5} \) 14T42 Trivial
14.4.145343463601518854144.1 x14 - x12 - 2x11 - 3x10 - 2x9 - 3x8 - 2x7 - 3x6 - 2x5 - 3x4 - 2x3 - x2 + 1 \( -\,2^{14}\cdot 11\cdot 73^{8} \) 14T44 Trivial (GRH)
14.4.162420703254885611367.1 x14 - 6x13 + 9x12 + 25x11 - 80x10 + 104x9 - 425x8 + 1261x7 + 5x6 - 4607x5 + 6299x4 + 754x3 - 5512x2 + 702x + 1453 \( -\,3^{7}\cdot 13^{6}\cdot 109^{5} \) 14T42 Trivial
14.4.303899969348630331392.1 x14 - 2x13 - 7x12 + 32x11 - 83x10 + 146x9 - 199x8 + 222x7 - 199x6 + 146x5 - 83x4 + 32x3 - 7x2 - 2x + 1 \( -\,2^{14}\cdot 23\cdot 73^{8} \) 14T44 Trivial
14.4.463641384052739997867.1 x14 - 9x12 - 6x11 + 36x10 + 32x9 - 34x8 - 54x7 - 116x6 - 143x5 + 192x4 + 289x3 + 125x2 - 24x - 21 \( -\,3\cdot 7^{8}\cdot 173^{6} \) 14T48 Trivial
14.4.1700018408193379992179.1 x14 - 7x13 + 28x12 - 77x11 + 136x10 - 141x9 + 5x8 + 265x7 - 464x6 + 419x5 - 140x4 - 99x3 + 153x2 - 79x + 18 \( -\,7^{8}\cdot 11\cdot 173^{6} \) 14T48 Trivial
14.4.53253016835038350829951.1 x14 - 7x13 + 29x12 - 83x11 + 170x10 - 256x9 + 260x8 - 131x7 - 84x6 + 248x5 - 240x4 + 121x3 - 28x + 17 \( -\,29^{12}\cdot 41\cdot 3671 \) $C_2 \wr C_7$ (as 14T29) $[2]$
14.4.98547323936652881051648.1 x14 + 18x12 + 56x10 - 166x8 - 257x6 - 22x4 + 64x2 + 17 \( -\,2^{14}\cdot 17\cdot 29^{12} \) $C_2 \wr C_7$ (as 14T29) $[2]$


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