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Label Polynomial Discriminant Galois group Class group
12.0.74733890625.1 x12 - 6x11 + 21x10 - 50x9 + 93x8 - 138x7 + 164x6 - 153x5 + 111x4 - 61x3 + 24x2 - 6x + 1 \( 3^{14}\cdot 5^{6} \) $D_6$ (as 12T3) Trivial
12.0.107918163081.1 x12 - 3x11 + 4x10 - 5x9 + 5x8 + 2x7 - 7x6 + 2x5 + 5x4 - 5x3 + 4x2 - 3x + 1 \( 3^{6}\cdot 23^{6} \) $D_6$ (as 12T3) Trivial
12.0.116101021696.1 x12 - 3x10 + 2x8 + x6 + 2x4 - 3x2 + 1 \( 2^{16}\cdot 11^{6} \) $D_6$ (as 12T3) Trivial
12.0.313456656384.1 x12 - 3x10 - 8x9 - 6x8 + 12x7 + 47x6 + 78x5 + 78x4 + 50x3 + 21x2 + 6x + 1 \( 2^{16}\cdot 3^{14} \) $D_6$ (as 12T3) Trivial
12.0.330615800064.1 x12 - x11 - x10 + 4x9 - x8 - 3x7 + 6x6 - 3x5 - x4 + 4x3 - x2 - x + 1 \( 2^{8}\cdot 3^{6}\cdot 11^{6} \) $D_6$ (as 12T3) Trivial
12.0.433626201009.2 x12 - x11 + 4x10 + 3x9 + 6x8 + 10x7 + 15x6 + 23x5 + 12x4 + 12x3 + 13x2 + 4x + 1 \( 3^{6}\cdot 29^{6} \) $D_6$ (as 12T3) Trivial
12.0.470596000000.1 x12 - 3x11 + 5x10 - 8x9 + 11x8 - 13x7 + 18x6 - 13x5 + 11x4 - 8x3 + 5x2 - 3x + 1 \( 2^{8}\cdot 5^{6}\cdot 7^{6} \) $D_6$ (as 12T3) Trivial
12.0.606355001344.3 x12 - x10 + 5x8 - 9x6 + 5x4 - x2 + 1 \( 2^{12}\cdot 23^{6} \) $D_6$ (as 12T3) Trivial
12.0.646990183449.1 x12 - 3x11 + 2x10 - 3x9 + 15x8 - 24x7 + 25x6 - 24x5 + 15x4 - 3x3 + 2x2 - 3x + 1 \( 3^{6}\cdot 31^{6} \) $D_6$ (as 12T3) Trivial
12.0.1148916015625.1 x12 - 3x11 + 4x10 - 3x7 - x6 + 3x5 + 4x2 + 3x + 1 \( 5^{10}\cdot 7^{6} \) $D_6$ (as 12T3) Trivial
12.0.1253826625536.1 x12 + 6x10 + 3x8 - 22x6 + 21x4 - 12x2 + 4 \( 2^{18}\cdot 3^{14} \) $D_6$ (as 12T3) Trivial
12.0.1265319018496.1 x12 + 8x10 + 23x8 + 32x6 + 25x4 + 14x2 + 4 \( 2^{18}\cdot 13^{6} \) $D_6$ (as 12T3) Trivial
12.0.1586874322944.4 x12 - 2x9 + 2x6 + 2x3 + 1 \( 2^{12}\cdot 3^{18} \) $D_6$ (as 12T3) Trivial
12.0.1822500000000.1 x12 - x11 + x10 + 10x9 - 5x8 - x7 + 26x6 - x5 - 5x4 + 10x3 + x2 - x + 1 \( 2^{8}\cdot 3^{6}\cdot 5^{10} \) $D_6$ (as 12T3) Trivial
12.0.2313060765625.2 x12 - 3x11 + 6x10 - 5x9 + 15x8 + 2x7 + 5x6 - 2x5 + 15x4 + 5x3 + 6x2 + 3x + 1 \( 5^{6}\cdot 23^{6} \) $D_6$ (as 12T3) Trivial
12.0.2436396322816.1 x12 + 9x10 + 34x8 + 53x6 + 54x4 + 21x2 + 1 \( 2^{12}\cdot 29^{6} \) $D_6$ (as 12T3) Trivial
12.0.2560000000000.1 x12 - 4x11 + 12x10 - 20x9 + 25x8 - 24x7 + 26x6 - 28x5 + 15x4 + 2x2 - 8x + 4 \( 2^{18}\cdot 5^{10} \) $D_6$ (as 12T3) Trivial
12.0.3083198857216.1 x12 + x10 + 6x8 - 7x6 + 6x4 + x2 + 1 \( 2^{16}\cdot 19^{6} \) $D_6$ (as 12T3) Trivial
12.0.3635215077376.1 x12 - 5x10 + 9x8 - x6 + 9x4 - 5x2 + 1 \( 2^{12}\cdot 31^{6} \) $D_6$ (as 12T3) Trivial
12.0.4504649677056.1 x12 - 3x11 + 4x10 - 5x9 + 6x8 - 3x7 - 5x6 + 6x5 + 16x4 - 28x3 + 12x2 + 4x + 4 \( 2^{8}\cdot 3^{6}\cdot 17^{6} \) $D_6$ (as 12T3) Trivial
12.0.6553600000000.1 x12 - 7x8 + 88x4 + 16 \( 2^{24}\cdot 5^{8} \) $D_6$ (as 12T3) Trivial
12.0.7086244000000.1 x12 - x11 + 5x10 - 10x9 + 9x8 - 9x7 + 14x6 + 9x5 + 9x4 + 10x3 + 5x2 + x + 1 \( 2^{8}\cdot 5^{6}\cdot 11^{6} \) $D_6$ (as 12T3) $[2]$
12.0.7430465388544.3 x12 + 2x10 + 4x8 - 4x6 + 20x4 - 16x2 + 4 \( 2^{22}\cdot 11^{6} \) $D_6$ (as 12T3) Trivial
12.0.7430465388544.6 x12 - 2x10 + 4x8 + 4x6 + 20x4 + 16x2 + 4 \( 2^{22}\cdot 11^{6} \) $D_6$ (as 12T3) Trivial
12.0.8779890495744.1 x12 - 3x11 + 5x10 - 6x9 + 3x8 + 9x7 - 14x6 + 9x5 + 3x4 - 6x3 + 5x2 - 3x + 1 \( 2^{8}\cdot 3^{6}\cdot 19^{6} \) $D_6$ (as 12T3) Trivial
12.0.12332795428864.1 x12 + 8x10 + 23x8 + 24x6 + x4 - 14x2 + 4 \( 2^{18}\cdot 19^{6} \) $D_6$ (as 12T3) Trivial
12.0.13867245015625.1 x12 - 3x11 + 12x10 - 15x9 + 17x8 - 12x7 + 21x6 + 12x5 + 17x4 + 15x3 + 12x2 + 3x + 1 \( 5^{6}\cdot 31^{6} \) $D_6$ (as 12T3) $[2]$
12.0.17416274304961.1 x12 - 3x11 + 3x10 - 5x9 + 15x8 + 17x7 - 73x6 + 34x5 + 60x4 - 40x3 + 48x2 - 96x + 64 \( 7^{6}\cdot 23^{6} \) $D_6$ (as 12T3) Trivial
12.0.18662400000000.1 x12 + x10 - 6x8 + x6 + 46x4 + 21x2 + 9 \( 2^{16}\cdot 3^{6}\cdot 5^{8} \) $D_6$ (as 12T3) Trivial
12.0.19131876000000.1 x12 - 3x11 - 9x10 + 20x9 + 45x8 - 33x7 - 70x6 + 33x5 + 45x4 - 20x3 - 9x2 + 3x + 1 \( 2^{8}\cdot 3^{14}\cdot 5^{6} \) $D_6$ (as 12T3) Trivial
12.0.20061226008576.4 x12 + 6x10 - 44x6 + 60x4 - 24x2 + 4 \( 2^{22}\cdot 3^{14} \) $D_6$ (as 12T3) Trivial
12.0.20061226008576.9 x12 - 6x10 + 44x6 + 60x4 + 24x2 + 4 \( 2^{22}\cdot 3^{14} \) $D_6$ (as 12T3) Trivial
12.0.23086477815921.1 x12 - 3x11 - x9 + 33x8 - 66x7 + 81x6 - 66x5 + 33x4 - x3 - 3x + 1 \( 3^{14}\cdot 13^{6} \) $D_6$ (as 12T3) $[2]$
12.0.30749609024289.1 x12 + 43x6 + 64 \( 3^{6}\cdot 59^{6} \) $D_6$ (as 12T3) Trivial
12.0.33502391015625.1 x12 - 3x11 + 8x10 - 9x9 + 9x8 + 6x7 + x6 + 6x5 + 9x4 - 9x3 + 8x2 - 3x + 1 \( 3^{6}\cdot 5^{8}\cdot 7^{6} \) $D_6$ (as 12T3) Trivial
12.0.38806720086016.9 x12 - 2x10 + 20x8 - 72x6 + 80x4 - 32x2 + 64 \( 2^{18}\cdot 23^{6} \) $D_6$ (as 12T3) Trivial
12.0.38806720086016.10 x12 + 2x10 + 20x8 + 72x6 + 80x4 + 32x2 + 64 \( 2^{18}\cdot 23^{6} \) $D_6$ (as 12T3) $[2]$
12.0.45579633110361.2 x12 + 5x6 + 1 \( 3^{18}\cdot 7^{6} \) $D_6$ (as 12T3) Trivial
12.0.46708681640625.1 x12 - 6x11 + 27x10 - 80x9 + 195x8 - 366x7 + 551x6 - 642x5 + 585x4 - 400x3 + 177x2 - 42x + 4 \( 3^{14}\cdot 5^{10} \) $D_6$ (as 12T3) Trivial
12.0.52716660869376.1 x12 - 3x11 + 7x10 - 8x9 + 3x8 + 21x7 - 20x6 + 21x5 + 19x4 - 22x3 + 21x2 - 5x + 1 \( 2^{8}\cdot 3^{6}\cdot 7^{10} \) $D_6$ (as 12T3) $[3]$
12.0.53356129302784.1 x12 - x11 - 4x10 + 11x9 - 15x7 + 35x6 - 30x5 + 88x3 - 64x2 - 32x + 64 \( 2^{8}\cdot 7^{6}\cdot 11^{6} \) $D_6$ (as 12T3) Trivial
12.0.74649600000000.2 x12 - 4x10 + 19x8 + 16x6 + x4 + 6x2 + 4 \( 2^{18}\cdot 3^{6}\cdot 5^{8} \) $D_6$ (as 12T3) Trivial
12.0.80244904034304.3 x12 - 8x9 + 15x8 + 24x7 + 32x6 - 24x5 + 15x4 + 8x3 + 1 \( 2^{24}\cdot 3^{14} \) $D_6$ (as 12T3) $[2]$
12.0.80244904034304.5 x12 + 9x8 - 20x6 - 12x4 + 24x2 + 4 \( 2^{24}\cdot 3^{14} \) $D_6$ (as 12T3) $[2]$
12.0.80980417183744.7 x12 + x8 - 4x6 + 36x4 + 24x2 + 4 \( 2^{24}\cdot 13^{6} \) $D_6$ (as 12T3) $[2]$
12.0.80980417183744.8 x12 - 4x9 - 7x8 - 36x7 + 8x6 + 144x5 + 276x4 + 248x3 + 128x2 + 32x + 4 \( 2^{24}\cdot 13^{6} \) $D_6$ (as 12T3) $[2]$
12.0.84637644816384.4 x12 - 6x11 + 23x10 - 60x9 + 130x8 - 226x7 + 305x6 - 310x5 + 290x4 - 240x3 + 247x2 - 154x + 121 \( 2^{16}\cdot 3^{6}\cdot 11^{6} \) $D_6$ (as 12T3) $[2]$
12.0.90785223184384.1 x12 - 4x9 + 31x8 + 6x7 + 8x6 - 62x5 + 109x4 - 74x3 + 18x2 + 12x + 4 \( 2^{12}\cdot 53^{6} \) $D_6$ (as 12T3) Trivial
12.0.101559956668416.6 x12 + 10x6 + 1 \( 2^{18}\cdot 3^{18} \) $D_6$ (as 12T3) $[3]$
12.0.104413920565969.1 x12 - 4x10 + 6x8 + 114x6 - 235x4 + 118x2 + 9 \( 7^{6}\cdot 31^{6} \) $D_6$ (as 12T3) Trivial
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