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Label Polynomial Discriminant Galois group Class group
8.0.3240000.1 x8 - 3x7 + 3x6 + x5 - 2x4 - 3x3 + 7x2 - 4x + 1 \( 2^{6}\cdot 3^{4}\cdot 5^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.4665600.1 x8 - 2x7 + 2x6 + 4x5 - 8x4 + 2x3 + 5x2 - 4x + 1 \( 2^{8}\cdot 3^{6}\cdot 5^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.5308416.2 x8 - 2x6 + 5x4 - 4x2 + 1 \( 2^{16}\cdot 3^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.7290000.1 x8 - 3x7 + x6 + 3x5 - 3x3 + x2 + 3x + 1 \( 2^{4}\cdot 3^{6}\cdot 5^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.8294400.1 x8 - 2x7 + x6 + 7x4 - 16x3 + 15x2 - 6x + 1 \( 2^{12}\cdot 3^{4}\cdot 5^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.9437184.1 x8 - 4x6 - 4x5 + 6x4 + 16x3 + 16x2 + 8x + 2 \( 2^{20}\cdot 3^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.14630625.1 x8 - x7 + x6 + x4 - 8x3 + 12x2 - 6x + 1 \( 3^{4}\cdot 5^{4}\cdot 17^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.4.23040000.1 x8 - 2x7 - x6 - 5x4 - x2 - 2x + 1 \( 2^{12}\cdot 3^{2}\cdot 5^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.31539456.5 x8 - 2x7 - x6 - 2x5 + 10x4 + 8x3 - 22x2 - 4x + 13 \( 2^{8}\cdot 3^{6}\cdot 13^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.47775744.2 x8 - 6x6 + 18x4 - 18x2 + 9 \( 2^{16}\cdot 3^{6} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.51840000.2 x8 + 5x6 + 11x4 + 10x2 + 4 \( 2^{10}\cdot 3^{4}\cdot 5^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.70560000.1 x8 - 2x7 + x6 + 4x5 + 3x4 + 8x3 + 9x2 + 4x + 1 \( 2^{8}\cdot 3^{2}\cdot 5^{4}\cdot 7^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.70560000.2 x8 - x6 - 4x5 + 4x4 + 2x3 + 4x2 - 10x + 5 \( 2^{8}\cdot 3^{2}\cdot 5^{4}\cdot 7^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.4.84934656.1 x8 - 4x5 - 2x4 - 8x2 - 8x - 2 \( 2^{20}\cdot 3^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.112021056.1 x8 - x7 - x6 - 7x5 + 22x4 - 23x3 + 11x2 - 2x + 1 \( 2^{6}\cdot 3^{6}\cdot 7^{4} \) $Q_8:C_2$ (as 8T11) $[2]$
8.4.116640000.1 x8 - 2x7 - x6 + 10x5 + x4 - 16x3 - 7x2 + 2x + 1 \( 2^{8}\cdot 3^{6}\cdot 5^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.126877696.1 x8 - 8x6 - 12x5 + 12x4 + 56x3 + 76x2 + 52x + 17 \( 2^{20}\cdot 11^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.132710400.3 x8 - 4x5 + 13x4 - 24x3 + 22x2 - 8x + 1 \( 2^{16}\cdot 3^{4}\cdot 5^{2} \) $Q_8:C_2$ (as 8T11) $[2]$
8.0.134560000.3 x8 - 2x7 + 3x6 + 6x5 - 2x4 + 8x3 + 6x2 + 5 \( 2^{8}\cdot 5^{4}\cdot 29^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.142205625.1 x8 - x7 - 3x6 + 4x5 - 7x4 + 4x3 + 30x2 - 46x + 19 \( 3^{4}\cdot 5^{4}\cdot 53^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.146313216.5 x8 - 4x7 + 2x6 + 2x5 + 10x4 - 8x3 - x2 - 2x + 7 \( 2^{12}\cdot 3^{6}\cdot 7^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.150994944.1 x8 - 4x6 + 8x4 - 12x2 + 9 \( 2^{24}\cdot 3^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.156950784.2 x8 - 2x7 + 11x6 - 8x5 + 31x4 + 2x3 + 29x2 + 20x + 13 \( 2^{8}\cdot 3^{6}\cdot 29^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.164480625.1 x8 - x7 - 4x6 + 5x5 + x4 + 7x3 + 2x2 - 41x + 31 \( 3^{6}\cdot 5^{4}\cdot 19^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.169130025.1 x8 - x7 + 7x6 + x5 + 12x4 + 5x3 - 5x2 - 2x + 1 \( 3^{4}\cdot 5^{2}\cdot 17^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.191102976.3 x8 - 6x6 + 18x4 - 36x2 + 36 \( 2^{18}\cdot 3^{6} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.213890625.1 x8 - x7 + 10x6 - 9x5 + 34x4 - 29x3 + 45x2 - 36x + 16 \( 3^{4}\cdot 5^{6}\cdot 13^{2} \) $Q_8:C_2$ (as 8T11) $[2]$
8.0.253605625.1 x8 - 3x7 + 10x6 - 15x5 + 23x4 - 15x3 + 10x2 - x + 1 \( 5^{4}\cdot 7^{4}\cdot 13^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.255488256.6 x8 - 2x7 + 5x6 + 4x5 + 7x4 + 20x3 + 17x2 + 56x + 49 \( 2^{8}\cdot 3^{6}\cdot 37^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.260112384.10 x8 - 2x6 + 26x4 - 70x2 + 49 \( 2^{16}\cdot 3^{4}\cdot 7^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.260112384.11 x8 - 10x6 + 26x4 - 14x2 + 49 \( 2^{16}\cdot 3^{4}\cdot 7^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.279023616.2 x8 - 2x7 - 5x6 + 20x5 - 15x4 - 32x3 + 85x2 - 82x + 31 \( 2^{12}\cdot 3^{4}\cdot 29^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.333135504.1 x8 - 3x7 + 11x6 - 21x5 + 36x4 - 21x3 + 11x2 - 3x + 1 \( 2^{4}\cdot 3^{6}\cdot 13^{4} \) $Q_8:C_2$ (as 8T11) $[2]$
8.4.368640000.2 x8 - 6x6 - 4x5 + x4 - 8x3 - 12x2 - 4x + 1 \( 2^{16}\cdot 3^{2}\cdot 5^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.378535936.1 x8 - 4x7 + 20x6 - 44x5 + 98x4 - 128x3 + 144x2 - 96x + 34 \( 2^{20}\cdot 19^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.419430400.2 x8 - 12x6 + 48x4 - 60x2 + 25 \( 2^{24}\cdot 5^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.419430400.3 x8 - 8x4 + 25 \( 2^{24}\cdot 5^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.428490000.1 x8 - 3x7 + 11x6 - 11x5 + 30x4 + x3 + 39x2 + 37x + 19 \( 2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 23^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.428490000.2 x8 - 3x7 + 6x6 - 16x5 + 40x4 - 39x3 + 64x2 - 98x + 49 \( 2^{4}\cdot 3^{4}\cdot 5^{4}\cdot 23^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.8.432640000.1 x8 - 2x7 - 7x6 + 16x5 + 4x4 - 18x3 + 2x2 + 4x - 1 \( 2^{12}\cdot 5^{4}\cdot 13^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.432640000.4 x8 - 2x7 + x6 + 8x5 - 7x4 + 4x3 + 11x2 - 6x + 9 \( 2^{12}\cdot 5^{4}\cdot 13^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.433680625.1 x8 - 3x7 + 5x6 - 12x5 + 20x4 - 20x3 + 23x2 - 21x + 11 \( 5^{4}\cdot 7^{4}\cdot 17^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.437855625.1 x8 - x7 + 8x6 - 7x5 + 25x4 + 7x3 + 32x2 + 55x + 19 \( 3^{6}\cdot 5^{4}\cdot 31^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.4.469805625.1 x8 - 5x6 - 4x4 + 15x2 + 9 \( 3^{2}\cdot 5^{4}\cdot 17^{4} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.524226816.2 x8 - 2x7 - 7x6 + 4x5 + 43x4 + 8x3 - 139x2 - 16x + 157 \( 2^{8}\cdot 3^{6}\cdot 53^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.558140625.1 x8 - x7 - 10x6 + 11x5 + 34x4 - 29x3 - 55x2 + 4x + 76 \( 3^{6}\cdot 5^{6}\cdot 7^{2} \) $Q_8:C_2$ (as 8T11) $[2]$
8.0.595360000.5 x8 + 9x6 - 4x5 + 29x4 - 18x3 + 39x2 - 20x + 5 \( 2^{8}\cdot 5^{4}\cdot 61^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.646430625.1 x8 - x7 + 7x6 - 6x5 + 13x4 + 4x3 + 30x2 + 84x + 49 \( 3^{4}\cdot 5^{4}\cdot 113^{2} \) $Q_8:C_2$ (as 8T11) Trivial
8.0.676000000.1 x8 - 2x7 + 2x6 + 10x5 - 14x4 + 10x3 + 33x2 - 36x + 41 \( 2^{8}\cdot 5^{6}\cdot 13^{2} \) $Q_8:C_2$ (as 8T11) $[2]$
8.0.694427904.6 x8 - 4x7 - x6 + 8x5 + 31x4 - 50x3 - 43x2 + 58x + 97 \( 2^{8}\cdot 3^{6}\cdot 61^{2} \) $Q_8:C_2$ (as 8T11) Trivial

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