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Results (displaying all 24 matches)

Label Polynomial Discriminant Galois group Class group
14.0.118236562059083.1 x14 - 3x13 + 2x12 + 3x11 - 5x10 - x9 + x8 + 2x7 + 11x6 - 13x5 + 6x4 - 8x3 + 4x2 + 1 \( -\,13\cdot 71^{7} \) 14T38 Trivial
14.2.422859037223221.1 x14 - 2x13 - 4x12 + 6x11 + 10x10 - 3x9 - 19x8 - 6x7 + 27x6 - x5 - 20x4 + 9x3 + 4x2 - 4x + 1 \( 71^{6}\cdot 3301 \) 14T38 Trivial
14.2.973177856947837.1 x14 - 3x13 + 3x12 - 13x10 + 27x9 - 4x8 - 31x7 + 36x6 - 14x5 - 13x4 + 22x3 - 15x2 + 6x - 1 \( 71^{7}\cdot 107 \) 14T38 Trivial
14.0.2098795051761664.2 x14 - x12 - x10 + x8 - x6 - x4 + 2x2 + 1 \( -\,2^{14}\cdot 71^{6} \) 14T38 Trivial
14.6.184512113393005445.1 x14 - 5x13 + 4x12 + 8x11 - 9x10 - 2x9 + 5x8 - 5x7 + 5x6 - 2x5 - 9x4 + 8x3 + 4x2 - 5x + 1 \( 5\cdot 577^{6} \) 14T38 Trivial
14.8.258316958750207623.1 x14 - 5x13 + 6x12 + 4x11 - 19x10 + 42x9 - 40x8 - 31x7 + 79x6 + 36x5 - 175x4 + 117x3 - 19x2 - 4x + 1 \( -\,7\cdot 577^{6} \) 14T38 Trivial
14.2.479731494821814157.1 x14 - 2x13 - 2x11 - x10 + 3x8 + x7 + 3x6 - x4 - 2x3 - 2x + 1 \( 13\cdot 577^{6} \) 14T38 Trivial
14.10.1070170257679431581.1 x14 - 6x13 + 6x12 + 26x11 - 61x10 + 22x9 + 47x8 - 69x7 + 47x6 + 22x5 - 61x4 + 26x3 + 6x2 - 6x + 1 \( 29\cdot 577^{6} \) 14T38 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
14.10.1365389639108240293.1 x14 - 2x13 - x12 + 9x11 - 4x10 - 14x9 - 46x8 - 10x7 + 174x6 + 31x5 - 191x4 + 6x3 + 68x2 - 17x + 1 \( 37\cdot 577^{6} \) 14T38 Trivial
14.6.1512999329822644649.1 x14 - 4x13 - x12 + 7x11 - 5x10 + 8x9 + 15x8 - x7 + 15x6 + 8x5 - 5x4 + 7x3 - x2 - 4x + 1 \( 41\cdot 577^{6} \) 14T38 Trivial
14.8.1586804175179846827.1 x14 - 7x13 + 24x12 - 53x11 + 53x10 + 54x9 - 293x8 + 551x7 - 576x6 + 309x5 - x4 - 118x3 + 58x2 - 2x - 1 \( -\,43\cdot 577^{6} \) 14T38 Trivial
14.8.1734413865894251183.1 x14 - 4x13 - 2x12 + 17x11 + 12x10 - 48x9 - 31x8 + 80x7 + 30x6 - 65x5 - 11x4 + 26x3 + 2x2 - 5x - 1 \( -\,47\cdot 577^{6} \) 14T38 Trivial
14.6.4612802834825136125.1 x14 - 6x13 + 15x12 - 24x11 + 20x10 + 50x9 - 187x8 + 225x7 - 139x6 + 115x5 - 45x4 - 126x3 + 115x2 - 6x - 7 \( 5^{3}\cdot 577^{6} \) 14T38 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
14.8.6457923968755190575.1 x14 - 6x13 + 8x12 + 19x11 - 70x10 + 78x9 + 3x8 - 110x7 + 64x6 + 123x5 - 81x4 - 136x3 + 88x2 + 45x - 25 \( -\,5^{2}\cdot 7\cdot 577^{6} \) 14T38 Trivial
14.6.9041093556257266805.1 x14 - 5x13 + 10x12 - 10x11 - 12x10 + 40x9 - 20x8 + 43x7 - 278x6 + 445x5 - 141x4 - 278x3 + 276x2 - 73x + 1 \( 5\cdot 7^{2}\cdot 577^{6} \) 14T38 Trivial
14.12.32289619843775952875.1 x14 - 5x13 - 5x12 + 62x11 - 57x10 - 201x9 + 352x8 + 89x7 - 402x6 + 36x5 + 165x4 - 15x3 - 23x2 + x + 1 \( -\,5^{3}\cdot 7\cdot 577^{6} \) 14T38 Trivial
14.12.63287654893800867635.1 x14 - 3x13 - 13x12 + 29x11 + 71x10 - 77x9 - 196x8 + 23x7 + 220x6 + 74x5 - 96x4 - 55x3 + 11x2 + 9x + 1 \( -\,5\cdot 7^{3}\cdot 577^{6} \) 14T38 Trivial
14.2.276805072512186768589.1 x14 - 5x13 + 20x12 - 33x11 + 30x10 + 103x9 - 244x8 + 419x7 - 149x6 + 153x5 - 73x4 + 101x3 - 55x2 + 16x - 1 \( 13\cdot 577^{7} \) 14T38 $[6]$
14.0.3023046465831001210880.1 x14 + 18x12 + 108x10 + 300x8 + 421x6 + 290x4 + 82x2 + 5 \( -\,2^{14}\cdot 5\cdot 577^{6} \) 14T38 $[22]$
14.14.3023046465831001210880.1 x14 - 18x12 + 108x10 - 300x8 + 421x6 - 290x4 + 82x2 - 5 \( 2^{14}\cdot 5\cdot 577^{6} \) 14T38 Trivial (GRH)
14.0.4232265052163401695232.1 x14 + 22x12 + 182x10 + 736x8 + 1564x6 + 1740x4 + 927x2 + 175 \( -\,2^{14}\cdot 7\cdot 577^{6} \) 14T38 $[36]$
14.14.4232265052163401695232.1 x14 - 22x12 + 182x10 - 736x8 + 1564x6 - 1740x4 + 927x2 - 175 \( 2^{14}\cdot 7\cdot 577^{6} \) 14T38 Trivial (GRH)


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