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Label Polynomial Discriminant Galois group Class group
12.0.46911328256.1 x12 - 2x9 + 4x8 - 4x7 + x6 + 4x4 - 8x3 + 8x2 - 4x + 1 \( 2^{12}\cdot 13^{4}\cdot 401 \) 12T208 Trivial
12.0.69637938597.1 x12 - 2x11 + 3x10 - 2x9 + 4x6 - 11x5 + 17x4 - 16x3 + 11x2 - 5x + 1 \( 3^{6}\cdot 19^{4}\cdot 733 \) 12T208 Trivial
12.0.3833392529408.3 x12 - 2x10 - 2x8 + 4x6 + 8x4 - 16x2 + 8 \( 2^{27}\cdot 13^{4} \) 12T208 Trivial
12.0.3833392529408.4 x12 - 2x10 + 6x8 - 4x6 + 8x4 + 8 \( 2^{27}\cdot 13^{4} \) 12T208 Trivial
12.0.6229262860288.3 x12 - 6x10 + 15x8 - 22x6 + 26x4 - 26x2 + 13 \( 2^{24}\cdot 13^{5} \) 12T208 Trivial
12.0.6229262860288.4 x12 - 4x10 + 11x8 - 20x6 + 26x4 - 26x2 + 13 \( 2^{24}\cdot 13^{5} \) 12T208 Trivial
12.4.15117236000000.1 x12 - x11 + 2x9 - 5x8 + 6x7 - 7x6 + 6x5 - 5x4 + 2x3 - x + 1 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 29 \) 12T208 Trivial
12.0.21134460321792.1 x12 - 4x10 + 8x8 - 10x6 + 9x4 - 6x2 + 3 \( 2^{30}\cdot 3^{9} \) 12T208 Trivial
12.0.21134460321792.4 x12 + 4x10 + 8x8 + 10x6 + 9x4 + 6x2 + 3 \( 2^{30}\cdot 3^{9} \) 12T208 Trivial
12.6.30755756000000.1 x12 - x11 - 6x10 + 12x9 - x8 - 26x7 + 41x6 - 26x5 - x4 + 12x3 - 6x2 - x + 1 \( -\,2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 59 \) 12T208 Trivial
12.4.31798324000000.1 x12 - 3x11 + 2x10 + 2x9 - 9x8 + 16x7 - 19x6 + 16x5 - 9x4 + 2x3 + 2x2 - 3x + 1 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 61 \) 12T208 Trivial
12.2.37011164000000.1 x12 - 4x11 + 5x10 - 6x9 + 8x8 - 8x7 + 7x6 - 8x5 + 8x4 - 6x3 + 5x2 - 4x + 1 \( -\,2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 71 \) 12T208 Trivial
12.6.40634924000000.1 x12 - 3x11 + 2x10 - 7x8 + 6x7 - 11x6 + 8x5 + 21x4 - 18x3 - 6x2 + 7x - 1 \( -\,2^{8}\cdot 5^{6}\cdot 11\cdot 31^{4} \) 12T208 Trivial
12.4.46394276000000.1 x12 - 3x10 - 6x9 - 12x8 - 16x7 - 17x6 - 16x5 - 12x4 - 6x3 - 3x2 + 1 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 89 \) 12T208 Trivial
12.0.49834102882304.3 x12 - 10x10 + 46x8 - 124x6 + 208x4 - 208x2 + 104 \( 2^{27}\cdot 13^{5} \) 12T208 Trivial
12.0.49834102882304.6 x12 - 2x10 + 6x8 + 4x6 + 104 \( 2^{27}\cdot 13^{5} \) 12T208 Trivial
12.8.52649684000000.1 x12 - 8x10 - 3x9 + 21x8 + 14x7 - 21x6 - 18x5 + 5x4 + 3x3 + x2 + 3x + 1 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 101 \) 12T208 Trivial
12.0.56358560858112.3 x12 - 4x10 + 6x8 - 8x4 + 8 \( 2^{33}\cdot 3^{8} \) 12T208 Trivial
12.0.56358560858112.4 x12 + 4x10 + 6x8 - 8x4 + 8 \( 2^{33}\cdot 3^{8} \) 12T208 Trivial
12.8.56819956000000.1 x12 - x11 - 5x10 + x9 + 9x8 + 12x7 - 5x6 - 32x5 - 3x4 + 27x3 + 2x2 - 6x + 1 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 109 \) 12T208 Trivial
12.8.77671316000000.1 x12 - 5x11 + 8x10 - 8x9 + 15x8 + 6x7 - 79x6 + 76x5 + 33x4 - 70x3 + 24x2 + x - 1 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 149 \) 12T208 Trivial
12.2.109990924000000.1 x12 - 5x11 + 10x10 - 18x9 + 25x8 - 30x7 + 33x6 - 30x5 + 25x4 - 18x3 + 10x2 - 5x + 1 \( -\,2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 211 \) 12T208 Trivial
12.4.125629444000000.1 x12 - 3x11 + 4x10 + 5x9 - 26x8 + 39x7 - 29x6 + 2x5 + 8x4 - 14x3 + 28x2 - 20x + 4 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 241 \) 12T208 Trivial
12.0.169075682574336.2 x12 - 4x10 + 8x8 - 16x6 + 36x4 - 48x2 + 24 \( 2^{33}\cdot 3^{9} \) 12T208 Trivial
12.0.169075682574336.5 x12 + 4x10 + 8x8 + 16x6 + 36x4 + 48x2 + 24 \( 2^{33}\cdot 3^{9} \) 12T208 Trivial
12.8.181928116000000.1 x12 - x11 - 4x10 + 8x9 - 7x8 - 30x7 + 41x6 + 50x5 - 33x4 - 10x3 + 10x2 - 7x + 1 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 349 \) 12T208 Trivial
12.0.190210142896128.3 x12 + 6x10 + 9x8 - 10x6 - 30x4 + 27 \( 2^{30}\cdot 3^{11} \) 12T208 Trivial
12.0.190210142896128.4 x12 - 6x10 + 9x8 + 10x6 - 30x4 + 27 \( 2^{30}\cdot 3^{11} \) 12T208 Trivial
12.0.334143044000000.1 x12 - x11 + 7x9 - 4x8 - 5x7 + 29x6 - 10x5 - 16x4 + 56x3 - 32x + 64 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 641 \) 12T208 Trivial
12.10.385228876000000.1 x12 - 3x11 - 6x10 + 20x9 + 7x8 - 42x7 + 21x6 + 26x5 - 53x4 + 10x3 + 30x2 - 11x + 1 \( -\,2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 739 \) 12T208 Trivial
12.0.385610460475392.1 x12 + 27x4 - 18x2 + 3 \( 2^{12}\cdot 3^{23} \) 12T208 Trivial
12.0.385610460475392.5 x12 + 27x4 + 18x2 + 3 \( 2^{12}\cdot 3^{23} \) 12T208 Trivial
12.10.492092096000000.1 x12 - 4x11 - x10 + 20x9 - 20x8 - 16x7 + 41x6 - 8x5 - 30x4 + 10x3 + 9x2 - 2x - 1 \( -\,2^{12}\cdot 5^{6}\cdot 19^{4}\cdot 59 \) 12T208 Trivial
12.0.1052745423388672.10 x12 - 6x10 - x8 - 8x6 + 468x4 - 1690x2 + 2197 \( 2^{24}\cdot 13^{7} \) 12T208 Trivial
12.0.1052745423388672.11 x12 - 4x10 + 27x8 - 38x6 + 208x4 + 338x2 + 2197 \( 2^{24}\cdot 13^{7} \) 12T208 Trivial
12.0.1119448865964032.13 x12 + 4x8 + 16x6 - 4x4 - 16x2 + 8 \( 2^{33}\cdot 19^{4} \) 12T208 Trivial
12.0.1119448865964032.17 x12 + 4x8 - 16x6 - 4x4 + 16x2 + 8 \( 2^{33}\cdot 19^{4} \) 12T208 Trivial
12.0.1218719480020992.3 x12 - 6x10 + 15x8 - 18x6 + 9x4 + 3 \( 2^{20}\cdot 3^{19} \) 12T208 Trivial
12.0.1218719480020992.4 x12 + 6x10 + 15x8 + 18x6 + 9x4 + 3 \( 2^{20}\cdot 3^{19} \) 12T208 Trivial
12.0.1521681143169024.5 x12 + 18x8 - 8x6 + 120x4 + 216 \( 2^{33}\cdot 3^{11} \) 12T208 Trivial
12.0.1521681143169024.6 x12 + 18x8 + 8x6 + 120x4 + 216 \( 2^{33}\cdot 3^{11} \) 12T208 Trivial
12.12.1558117876000000.1 x12 - 3x11 - 9x10 + 25x9 + 31x8 - 70x7 - 47x6 + 84x5 + 29x4 - 43x3 - 4x2 + 8x - 1 \( 2^{8}\cdot 5^{6}\cdot 7^{2}\cdot 19^{4}\cdot 61 \) 12T208 Trivial
12.0.2658691056664576.10 x12 + 2x10 + 7x8 - 2x6 + 19 \( 2^{30}\cdot 19^{5} \) 12T208 Trivial
12.0.2658691056664576.11 x12 - 2x10 + 7x8 + 2x6 + 19 \( 2^{30}\cdot 19^{5} \) 12T208 Trivial
12.12.2992691444000000.1 x12 - x11 - 15x10 + 7x9 + 83x8 + 4x7 - 197x6 - 104x5 + 151x4 + 167x3 + 52x2 + 2x - 1 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 5741 \) 12T208 Trivial
12.0.3899725604000000.1 x12 - 3x11 + 8x10 - 13x9 + 20x8 - 23x7 + 33x6 - 46x5 + 80x4 - 104x3 + 128x2 - 96x + 64 \( 2^{8}\cdot 5^{6}\cdot 19^{4}\cdot 7481 \) 12T208 $[3]$
12.0.4565043429507072.29 x12 - 12x10 + 72x8 - 264x6 + 612x4 - 864x2 + 648 \( 2^{33}\cdot 3^{12} \) 12T208 $[2]$
12.0.4565043429507072.32 x12 + 12x10 + 72x8 + 264x6 + 612x4 + 864x2 + 648 \( 2^{33}\cdot 3^{12} \) 12T208 $[2]$
12.0.4874877920083968.1 x12 - 12x8 + 6x6 + 36x4 - 36x2 + 12 \( 2^{22}\cdot 3^{19} \) 12T208 Trivial
12.0.4874877920083968.7 x12 - 12x8 - 6x6 + 36x4 + 36x2 + 12 \( 2^{22}\cdot 3^{19} \) 12T208 Trivial

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