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Label Polynomial Discriminant Galois group Class group
12.2.341962230519.1 x12 - 4x11 + 10x10 - 20x9 + 31x8 - 43x7 + 52x6 - 56x5 + 52x4 - 39x3 + 21x2 - 7x + 1 \( -\,3^{3}\cdot 7^{8}\cdot 13^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.984184121123.1 x12 - 2x11 + 3x10 + x9 - 4x8 + 8x7 - x6 - 3x5 + 6x4 + 3x + 1 \( -\,7^{9}\cdot 29^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.6889288847861.1 x12 - x10 - 7x9 + x8 + 13x6 + x4 - 7x3 - x2 + 1 \( 7^{10}\cdot 29^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.9232980224013.1 x12 - 3x10 - 2x9 + 2x8 + 11x7 - 7x6 - 17x5 + 5x4 + 16x3 - 7x2 - 8x + 1 \( 3^{6}\cdot 7^{8}\cdot 13^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.0.46220684879493.2 x12 - 3x11 + 6x10 - 5x9 - 3x8 + 24x7 - 37x6 + 24x5 + 18x4 - 43x3 + 42x2 - 18x + 3 \( 3^{17}\cdot 71^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.6.138662054638479.3 x12 - 3x10 - x9 + 9x8 + 3x7 - 23x6 - 9x5 + 15x4 + 42x3 - 27x2 - 9x + 3 \( -\,3^{18}\cdot 71^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.0.187945431519041.1 x12 - 2x11 + 6x10 - 10x9 + 15x8 - 17x7 + 13x6 - 13x5 + 18x4 + 11x3 + 12x2 + 6x + 1 \( 7^{9}\cdot 167^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.773738492592128.2 x12 + 2x10 - 12x8 - 4x6 + 44x4 - 40x2 + 8 \( 2^{27}\cdot 7^{8} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.773738492592128.3 x12 + 8x10 + 18x8 - 4x6 - 48x4 - 24x2 + 8 \( 2^{27}\cdot 7^{8} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.773738492592128.6 x12 - 8x10 + 18x8 + 4x6 - 48x4 + 24x2 + 8 \( 2^{27}\cdot 7^{8} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.773738492592128.8 x12 - 2x10 - 12x8 + 4x6 + 44x4 + 40x2 + 8 \( 2^{27}\cdot 7^{8} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.6.922961974856607.1 x12 - x11 - 8x10 + 21x9 - x8 - 69x7 + 101x6 - 21x5 - 87x4 + 102x3 - 49x2 + 9x + 1 \( -\,3^{3}\cdot 7^{8}\cdot 181^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.8.4272972105817625.1 x12 - x11 - 8x10 + 3x9 - 23x8 + 68x7 + 70x6 + 95x5 - 20x4 - 85x3 + 2x2 + 12x - 1 \( 5^{3}\cdot 7^{8}\cdot 181^{3} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.5777633090469888.4 x12 - 6x10 + 6x8 + 20x6 - 24x4 - 24x2 + 8 \( 2^{27}\cdot 3^{16} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.5777633090469888.7 x12 + 6x10 + 6x8 - 16x6 - 24x4 + 8 \( 2^{27}\cdot 3^{16} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.5777633090469888.8 x12 - 6x10 + 6x8 + 16x6 - 24x4 + 8 \( 2^{27}\cdot 3^{16} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.5777633090469888.11 x12 + 6x10 + 6x8 - 20x6 - 24x4 + 24x2 + 8 \( 2^{27}\cdot 3^{16} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.6189907940737024.2 x12 + 2x10 + x8 - 10x6 - 32x4 - 52x2 - 1 \( -\,2^{30}\cdot 7^{8} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.6189907940737024.4 x12 - 8x10 + 16x8 - 18x6 + 19x4 - 22x2 - 1 \( -\,2^{30}\cdot 7^{8} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.6189907940737024.9 x12 + 8x10 + 16x8 + 18x6 + 19x4 + 22x2 - 1 \( -\,2^{30}\cdot 7^{8} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.6189907940737024.10 x12 - 2x10 + x8 + 10x6 - 32x4 + 52x2 - 1 \( -\,2^{30}\cdot 7^{8} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.19499511680335872.9 x12 - 6x10 + 12x8 + 6x6 - 27x4 - 36x2 - 3 \( -\,2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.19499511680335872.11 x12 - 6x10 + 3x8 + 6x6 - 18x2 - 3 \( -\,2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.19499511680335872.13 x12 + 3x8 - 18x4 - 3 \( -\,2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.19499511680335872.14 x12 - 6x8 - 9x4 - 3 \( -\,2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.19499511680335872.15 x12 + 3x8 - 9x4 - 3 \( -\,2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.19499511680335872.16 x12 + 3x8 - 3 \( -\,2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.19499511680335872.17 x12 - 12x10 + 39x8 - 60x6 + 27x4 - 3 \( -\,2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.19499511680335872.19 x12 - 6x10 + 12x8 + 6x6 - 45x4 + 54x2 - 3 \( -\,2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.19499511680335872.2 x12 - 6x10 - 3x8 + 24x6 - 9x4 - 18x2 + 3 \( 2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.19499511680335872.3 x12 - 6x10 + 6x8 + 24x6 - 45x4 + 3 \( 2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.19499511680335872.6 x12 - 3x8 - 18x4 + 3 \( 2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.19499511680335872.7 x12 - 3x8 - 9x4 + 3 \( 2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.19499511680335872.8 x12 + 6x8 - 9x4 + 3 \( 2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.19499511680335872.9 x12 - 3x8 + 3 \( 2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.19499511680335872.10 x12 - 6x10 - 3x8 + 24x6 + 36x4 + 18x2 + 3 \( 2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.19499511680335872.11 x12 - 12x10 + 51x8 - 78x6 + 36x2 + 3 \( 2^{24}\cdot 3^{19} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.33174037869887488.1 x12 - 7x8 - 42x6 + 168x4 - 154x2 - 7 \( -\,2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.33174037869887488.2 x12 - 14x8 + 63x4 - 126x2 - 7 \( -\,2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.33174037869887488.3 x12 - 21x8 - 84x6 - 133x4 - 84x2 - 7 \( -\,2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.33174037869887488.5 x12 - 14x10 + 63x8 - 126x6 + 112x4 - 42x2 - 7 \( -\,2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.33174037869887488.7 x12 - 21x4 - 7 \( -\,2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.33174037869887488.8 x12 - 7x4 - 7 \( -\,2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.33174037869887488.9 x12 + 7x8 - 7 \( -\,2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.2.33174037869887488.10 x12 + 7x8 + 7x4 - 7 \( -\,2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.33174037869887488.1 x12 - 35x8 - 112x6 - 126x4 - 42x2 + 7 \( 2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.33174037869887488.4 x12 - 21x4 + 7 \( 2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.33174037869887488.5 x12 - 7x4 + 7 \( 2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.33174037869887488.6 x12 - 7x8 + 7 \( 2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
12.4.33174037869887488.7 x12 - 7x8 + 7x4 + 7 \( 2^{24}\cdot 7^{11} \) $C_4^2.(C_3\times D_4)$ (as 12T141) Trivial
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