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Results (displaying all 33 matches)

Label Polynomial Discriminant Galois group Class group
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
14.2.493856488203125.1 x14 - 2x13 + 6x11 - 3x10 - 8x9 + 13x8 + 4x7 - 16x6 + 7x5 + 13x4 - 11x3 - 4x2 + 6x - 1 \( 5^{7}\cdot 43^{6} \) $D_{14}$ (as 14T3) Trivial
14.0.2098795051761664.1 x14 + 3x12 + x10 - 3x8 + x6 + 7x4 + 6x2 + 1 \( -\,2^{14}\cdot 71^{6} \) $D_{14}$ (as 14T3) Trivial
14.0.3911915096945863.1 x14 - 5x12 - 6x11 + 8x10 + 21x9 + 14x8 - 6x7 - 13x6 + x5 + 10x4 + x3 - 2x + 1 \( -\,7^{7}\cdot 41^{6} \) $D_{14}$ (as 14T3) Trivial
14.0.4247165798546875.1 x14 - 2x13 + 3x12 - 7x11 + 4x10 + 9x9 - 25x7 + 13x6 + 15x5 + x4 - 16x3 + x2 + 3x + 1 \( -\,5^{6}\cdot 43^{7} \) $D_{14}$ (as 14T3) Trivial
14.2.10007834681328125.1 x14 - x13 - 4x12 + 3x11 - 3x10 - 16x9 + 31x8 + 56x7 + 8x6 - 18x5 - 14x4 - 2x3 + 7x2 + 2x - 1 \( 5^{7}\cdot 71^{6} \) $D_{14}$ (as 14T3) Trivial
14.0.17391946147446784.1 x14 - 2x13 + 8x12 - 18x11 + 33x10 - 66x9 + 99x8 - 136x7 + 188x6 - 192x5 + 181x4 - 150x3 + 86x2 - 28x + 4 \( -\,2^{14}\cdot 101^{6} \) $D_{14}$ (as 14T3) Trivial
14.2.19891027786401117.1 x14 - 4x13 + 4x12 + 4x11 - 23x10 + 60x9 - 28x8 - 144x7 + 179x6 + 44x5 - 101x4 + 3x3 - 35x2 + 40x - 11 \( 3^{7}\cdot 71^{7} \) $D_{14}$ (as 14T3) Trivial
14.2.22912645567825769.1 x14 - x13 + 3x12 + x11 - x10 + 2x8 - 6x7 - 8x6 + 7x5 - 5x4 - 6x3 + 9x2 + 8x + 1 \( 7^{6}\cdot 41^{7} \) $D_{14}$ (as 14T3) Trivial
14.0.23931305644896387.1 x14 - 2x13 - 3x12 + 7x11 + 9x10 - 34x9 + 60x8 - 118x7 + 174x6 - 164x5 + 135x4 - 113x3 + 58x2 - 12x + 3 \( -\,3^{7}\cdot 149^{6} \) $D_{14}$ (as 14T3) Trivial
14.0.25924504643832987.1 x14 - x13 - x11 - 2x10 + 5x9 + 2x8 + 4x6 - 2x5 - 8x4 - 9x3 + 10x2 + 3x + 1 \( -\,3^{7}\cdot 151^{6} \) $D_{14}$ (as 14T3) Trivial
14.2.60744850248635297.1 x14 - 5x12 - 5x11 + 7x10 + 15x9 + 6x8 - 8x7 - 3x6 + 4x5 - 12x3 - 12x2 - 8x + 1 \( 17^{7}\cdot 23^{6} \) $D_{14}$ (as 14T3) Trivial
14.0.82184209159918343.1 x14 - x13 + 7x12 - 8x11 + 23x10 - 25x9 + 47x8 - 36x7 + 61x6 - 21x5 + 78x4 + 20x3 + 62x2 + 8x + 27 \( -\,17^{6}\cdot 23^{7} \) $D_{14}$ (as 14T3) $[3]$
14.0.105496092121152103.1 x14 - x13 + 5x12 - 3x11 + 9x10 - 25x9 + 16x8 - 85x7 + 14x6 - 108x5 + 136x4 + 16x3 + 352x2 + 128x + 128 \( -\,7^{7}\cdot 71^{6} \) $D_{14}$ (as 14T3) Trivial
14.0.124630242720721927.1 x14 - 2x13 + x12 + 11x11 - 13x10 - 4x9 + 39x8 - 30x7 - 21x6 + 71x5 - 28x4 - 13x3 + 56x2 - 16x + 11 \( -\,7^{7}\cdot 73^{6} \) $D_{14}$ (as 14T3) Trivial
14.2.149014448675078144.1 x14 - 8x12 + 22x10 - 8x8 - 55x6 + 48x4 + 64x2 - 71 \( 2^{14}\cdot 71^{7} \) $D_{14}$ (as 14T3) Trivial
14.2.439146640223031296.1 x14 - 5x13 + 5x12 + 10x11 - 24x10 + 2x9 + 52x8 - 10x7 - 52x6 + 2x5 + 24x4 + 10x3 - 5x2 - 5x - 1 \( 2^{12}\cdot 101^{7} \) $D_{14}$ (as 14T3) Trivial
14.0.710556262374296875.1 x14 - 4x13 + 20x12 - 52x11 + 151x10 - 284x9 + 582x8 - 776x7 + 1257x6 - 1312x5 + 2111x4 - 2209x3 + 2979x2 - 2242x + 1589 \( -\,5^{7}\cdot 71^{7} \) $D_{14}$ (as 14T3) $[4]$
14.2.1188588180363187221.1 x14 - 2x13 + 7x12 - 10x11 + 15x10 - 3x9 - 18x8 + 55x7 - 81x6 + 72x5 - 42x4 - 10x3 + 10x2 - 2x - 17 \( 3^{6}\cdot 149^{7} \) $D_{14}$ (as 14T3) Trivial
14.2.1299715388373242953.1 x14 - 7x13 + 21x12 - 35x11 + 35x10 - 21x9 + 16x8 - 37x7 + 70x6 - 84x5 + 77x4 - 56x3 + 36x2 - 16x + 1 \( 7^{6}\cdot 73^{7} \) $D_{14}$ (as 14T3) Trivial
14.0.3561340538630151963.1 x14 - 7x10 - 7x9 + 14x8 + x7 + 49x6 - 49x5 - 63x3 + 56x2 + 7x + 1 \( -\,3^{7}\cdot 7^{18} \) $D_{14}$ (as 14T3) Trivial
14.2.3914600201218781037.1 x14 - 2x13 - 5x12 - 2x11 + 11x10 + 64x9 + 61x8 - 118x7 - 331x6 - 409x5 - 431x4 - 385x3 - 185x2 - 39x - 3 \( 3^{7}\cdot 151^{7} \) $D_{14}$ (as 14T3) Trivial
14.2.7490222540601799313.1 x14 - 4x13 - 4x12 + 32x11 - 44x10 + 76x9 + 222x8 - 1472x7 + 483x6 + 4460x5 - 2122x4 - 5110x3 + 564x2 + 2882x - 1573 \( 7^{7}\cdot 71^{7} \) $D_{14}$ (as 14T3) Trivial
14.2.35632953415471973197.1 x14 - x13 + 13x12 + 52x10 + 78x8 + 78x6 + 52x4 + 13x2 + 64x + 1 \( 7^{6}\cdot 13^{13} \) $D_{14}$ (as 14T3) Trivial
14.2.79396891942519570432.1 x14 - 2x13 + 26x10 - 26x8 - 104x7 + 130x4 + 169x2 - 2x + 4 \( 2^{18}\cdot 13^{13} \) $D_{14}$ (as 14T3) Trivial
14.0.80705598398100581643.1 x14 - 2x13 + 11x12 - 6x11 + 56x10 - 28x9 + 169x8 - 7x7 + 258x6 - 117x5 + 103x4 - 16x3 + 11x2 - x + 1 \( -\,3^{7}\cdot 577^{6} \) $D_{14}$ (as 14T3) $[13]$
14.0.89469990354509983683.1 x14 - 6x13 + 19x12 - 44x11 + 67x10 - 83x9 + 82x8 - 17x7 + 118x6 + 162x5 + 361x4 + 423x3 + 528x2 + 405x + 171 \( -\,3^{7}\cdot 587^{6} \) $D_{14}$ (as 14T3) $[7]$ (GRH)
14.0.249430673908303812379.1 x14 - 3x13 + 26x10 + 65x6 + 39x5 + 52x2 + 36x + 9 \( -\,7^{7}\cdot 13^{13} \) $D_{14}$ (as 14T3) $[2]$
14.2.536561726709678316933.1 x14 - 4x13 + 52x10 - 26x8 - 208x7 + 260x4 + 169x2 - 4x + 16 \( 11^{6}\cdot 13^{13} \) $D_{14}$ (as 14T3) Trivial
14.14.2883001771765710078125.1 x14 - 3x13 - 22x12 + 67x11 + 147x10 - 474x9 - 335x8 + 1305x7 + 304x6 - 1649x5 - 118x4 + 948x3 + 64x2 - 193x - 41 \( 5^{7}\cdot 577^{6} \) $D_{14}$ (as 14T3) Trivial (GRH)
14.0.5994559163049015798603.1 x14 - 3x13 + 7x12 - 18x11 + 19x10 + 14x9 - 32x8 + 96x7 + 161x6 + 22x5 + 319x4 + 154x3 - 63x2 + 49x + 49 \( -\,3^{7}\cdot 7^{6}\cdot 13^{12} \) $D_{14}$ (as 14T3) Trivial (GRH)
14.2.41961914141343110590221.1 x14 - 3x12 - 26x11 - 115x10 + 760x8 + 1742x7 + 1108x6 - 1950x5 - 6373x4 - 6656x3 - 423x2 + 273x - 3647 \( 3^{7}\cdot 7^{7}\cdot 13^{12} \) $D_{14}$ (as 14T3) Trivial
14.14.77389989525273630998528.1 x14 - 4x13 - 24x12 + 96x11 + 183x10 - 772x9 - 458x8 + 2486x7 + 275x6 - 3370x5 + 60x4 + 1886x3 + x2 - 310x - 25 \( 2^{21}\cdot 577^{6} \) $D_{14}$ (as 14T3) Trivial (GRH)


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