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Label Polynomial Discriminant Galois group Class group
12.0.46779109213.1 x12 - 4x11 + 8x10 - 10x9 + 8x8 - 3x7 - 2x6 + 4x5 - 2x4 - x3 + 2x2 - x + 1 \( 31^{4}\cdot 37^{3} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.63518590021.1 x12 - 2x11 + 3x10 - 2x9 + 2x8 - 4x7 + 4x6 - 2x5 - x4 + 2x2 - x + 1 \( 23^{4}\cdot 61^{3} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.719569994873.1 x12 - 2x11 - 4x10 + 8x9 + 8x8 - 13x7 - 10x6 + 8x5 + 8x4 - 5x2 - x + 1 \( 23^{4}\cdot 137^{3} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.1237419323253.1 x12 - x11 - 5x10 + 5x9 + 7x8 - 8x7 + x6 + 2x5 - 9x4 + 4x3 + 6x2 - x - 1 \( 3^{2}\cdot 31^{4}\cdot 53^{3} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.7140934453248.1 x12 + 3x10 - 2x6 + 9x4 + 12x2 + 2 \( 2^{11}\cdot 3^{20} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.61334280470528.2 x12 + x10 - 11x8 - 16x6 + 8x4 + 8x2 + 8 \( 2^{31}\cdot 13^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.61334280470528.6 x12 + x10 + 5x8 + 16x6 + 18x4 + 10x2 + 2 \( 2^{31}\cdot 13^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.64268410079232.1 x12 - 6x11 + 18x10 - 32x9 + 33x8 - 15x7 - 4x6 - 3x5 + 15x4 - 10x3 + 6x - 2 \( 2^{11}\cdot 3^{22} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.65796588961792.1 x12 - x11 - 2x10 - 4x9 - 3x8 + 20x7 + 44x6 - 36x5 - 79x4 + 23x3 + 50x2 - 4x - 11 \( 2^{20}\cdot 13^{7} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.94929648877568.1 x12 + 4x10 + 12x8 - 8x6 - 7x4 - 20x2 + 2 \( 2^{27}\cdot 29^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.94929648877568.2 x12 - 4x10 + 12x8 + 8x6 - 7x4 + 20x2 + 2 \( 2^{27}\cdot 29^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.8.109970099973877.1 x12 - 6x11 + 10x10 + 5x9 - 32x8 + 32x7 + 6x6 - 43x5 + 31x4 + 4x3 - 15x2 + 7x - 1 \( 11^{4}\cdot 13^{3}\cdot 43^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.263186355847168.2 x12 - x11 + 3x10 + 7x9 - 7x8 + 14x7 + 22x6 - 18x5 + 24x4 + 34x3 - 14x2 + 14x + 22 \( 2^{22}\cdot 13^{7} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.279862216491008.1 x12 - x11 + x10 + 3x9 - 7x8 - 10x7 + 62x6 - 130x5 + 165x4 - 123x3 + 47x2 - 7x + 1 \( 2^{31}\cdot 19^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.279862216491008.2 x12 + x10 - 7x8 - 4x6 + 14x4 - 6x2 + 2 \( 2^{31}\cdot 19^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.379718595510272.3 x12 + 4x10 - 2x8 - 8x6 + 28x4 - 32x2 + 8 \( 2^{29}\cdot 29^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.379718595510272.15 x12 - 4x10 - 2x8 + 8x6 + 28x4 + 32x2 + 8 \( 2^{29}\cdot 29^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.503060929445888.1 x12 + 4x10 + 18x8 + 28x6 + 2x4 - 8x2 + 2 \( 2^{35}\cdot 11^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.503060929445888.1 x12 - 4x10 + 10x8 - 28x6 + 46x4 - 40x2 + 2 \( 2^{35}\cdot 11^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.503060929445888.5 x12 - 4x10 + 18x8 - 28x6 + 2x4 + 8x2 + 2 \( 2^{35}\cdot 11^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.503060929445888.14 x12 + 4x10 + 10x8 + 28x6 + 46x4 + 40x2 + 2 \( 2^{35}\cdot 11^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.526372711694336.1 x12 - 2x11 + 3x10 + 12x9 - 9x8 + 8x7 + 73x6 - 28x5 + 13x4 + 78x3 + 50x2 + 12x + 1 \( 2^{23}\cdot 13^{7} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.526372711694336.1 x12 - 4x11 + 14x9 - 10x8 - 16x7 + 23x6 - 14x5 + 7x4 + 16x3 + 2x2 - 4x - 2 \( 2^{23}\cdot 13^{7} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.838860800000000.4 x12 - 9x10 + 36x8 - 96x6 + 168x4 - 136x2 + 32 \( 2^{31}\cdot 5^{8} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.838860800000000.5 x12 + 3x10 + 4x8 + 8x6 + 18x4 + 22x2 + 8 \( 2^{31}\cdot 5^{8} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.981348487528448.2 x12 - x10 + 5x8 - 16x6 + 18x4 - 10x2 + 2 \( 2^{35}\cdot 13^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.981348487528448.11 x12 - x10 - 11x8 + 16x6 + 8x4 - 8x2 + 8 \( 2^{35}\cdot 13^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.989730899764893.1 x12 - 6x11 + 13x10 - 7x9 - 38x8 + 144x7 - 262x6 + 284x5 - 194x4 + 48x3 + 76x2 - 85x + 25 \( 3^{2}\cdot 11^{4}\cdot 13^{3}\cdot 43^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) $[2]$
12.4.1052745423388672.1 x12 - 2x11 + 5x9 - 17x8 + 36x7 - 36x6 - 14x5 + 108x4 - 144x3 + 84x2 - 22x + 2 \( 2^{24}\cdot 13^{7} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.1052745423388672.2 x12 - 4x11 + 17x10 - 50x9 + 119x8 - 236x7 + 362x6 - 432x5 + 384x4 - 232x3 + 90x2 - 20x + 2 \( 2^{24}\cdot 13^{7} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) $[2]$
12.0.1052745423388672.7 x12 + 9x10 + 37x8 + 104x6 + 169x4 + 169x2 + 13 \( 2^{24}\cdot 13^{7} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.1130487893786624.1 x12 - 2x11 + x10 - 10x9 + 19x8 - 36x7 + 60x6 - 28x5 - 33x4 - 6x3 + 33x2 + 22x - 23 \( 2^{16}\cdot 29^{7} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.1141260857376768.3 x12 - 3x10 - 3x8 - 8x6 - 24x2 + 8 \( 2^{31}\cdot 3^{12} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.1141260857376768.17 x12 + 12x10 + 60x8 + 160x6 + 234x4 + 168x2 + 32 \( 2^{31}\cdot 3^{12} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.1518874382041088.2 x12 - 2x10 - 6x8 + 2x6 + 5x4 + 2 \( 2^{31}\cdot 29^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.1518874382041088.5 x12 - 6x10 + 12x8 - 6x6 - 3x4 - 8x2 + 8 \( 2^{31}\cdot 29^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.1518874382041088.9 x12 + 2x10 - 6x8 - 2x6 + 5x4 + 2 \( 2^{31}\cdot 29^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.1518874382041088.18 x12 + 6x10 + 12x8 + 6x6 - 3x4 + 8x2 + 8 \( 2^{31}\cdot 29^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.1798172624027648.1 x12 - 6x10 + 7x8 - 10x6 + 25x4 - 24x2 + 8 \( 2^{23}\cdot 11^{8} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.1798172624027648.3 x12 + 6x10 + 7x8 + 10x6 + 25x4 + 24x2 + 8 \( 2^{23}\cdot 11^{8} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.1828079220031488.1 x12 - 3x10 + 2x6 + 9x4 - 12x2 + 2 \( 2^{19}\cdot 3^{20} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.1828079220031488.2 x12 - 6x10 + 18x8 - 17x6 + 9x4 - 6x2 + 2 \( 2^{19}\cdot 3^{20} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.1828079220031488.4 x12 + 6x10 + 18x8 + 17x6 + 9x4 + 6x2 + 2 \( 2^{19}\cdot 3^{20} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.2403815886159872.4 x12 - 8x8 - 88x6 - 44x4 - 80x2 + 8 \( 2^{33}\cdot 23^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.4.2403815886159872.10 x12 - 16x8 + 8x6 + 52x4 - 144x2 + 200 \( 2^{33}\cdot 23^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.2403815886159872.13 x12 - 8x8 + 88x6 - 44x4 + 80x2 + 8 \( 2^{33}\cdot 23^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.2403815886159872.19 x12 - 16x8 - 8x6 + 52x4 + 144x2 + 200 \( 2^{33}\cdot 23^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.8.2995579298054144.1 x12 - 2x11 - 8x10 + 18x9 + 12x8 - 72x7 + 52x6 + 204x5 - 148x4 - 356x3 + 24x2 + 192x + 52 \( 2^{16}\cdot 29^{3}\cdot 37^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
12.0.3925393950113792.6 x12 - 2x10 + 4x8 + 16x6 - 22x4 - 4x2 + 8 \( 2^{37}\cdot 13^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) $[2]$
12.4.3925393950113792.7 x12 - 12x10 + 52x8 - 96x6 + 74x4 - 40x2 + 8 \( 2^{37}\cdot 13^{4} \) $C_4\times C_4^2:C_3:C_2$ (as 12T150) Trivial
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