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Label Polynomial Discriminant Galois group Class group
8.2.7486875.1 x8 - 2x7 - x6 + 6x5 - 2x4 - 5x3 + 3x2 + 2x - 1 \( -\,3^{2}\cdot 5^{4}\cdot 11^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.18753525.1 x8 - 3x7 + 6x5 - 9x3 + 6x2 - 3x + 3 \( 3^{7}\cdot 5^{2}\cdot 7^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.22478848.1 x8 - 2x6 - x4 - 8x3 - 8x2 - 4x - 1 \( -\,2^{16}\cdot 7^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.37786203.1 x8 - 2x7 + x6 - 2x5 + 5x4 - 3x3 + x2 - 3x - 1 \( -\,3^{3}\cdot 7^{2}\cdot 13^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.45556992.1 x8 - 7x4 + 13 \( 2^{8}\cdot 3^{4}\cdot 13^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.51429573.1 x8 - 2x7 + 5x6 - x5 + 7x4 + 21x2 + 9x + 9 \( 3^{4}\cdot 13^{3}\cdot 17^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.67381875.1 x8 - x7 - 5x6 + 9x5 + x4 - 8x3 + 3x + 1 \( -\,3^{4}\cdot 5^{4}\cdot 11^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.78675968.1 x8 + x4 + 2 \( 2^{15}\cdot 7^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.80494592.1 x8 - 2x7 + x6 + 2x5 - 2x4 - 2x3 + x2 + 2x + 1 \( 2^{14}\cdot 17^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.89915392.1 x8 + 2x6 - 4x5 - 4x3 + 2x2 + 1 \( -\,2^{18}\cdot 7^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.94139253.1 x8 - x7 + 6x6 + 9x4 + 5x3 + 29x2 + 23x + 19 \( 3^{4}\cdot 13^{3}\cdot 23^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.149661837.1 x8 - 2x7 + 12x6 - 17x5 + 50x4 - 49x3 + 85x2 - 42x + 43 \( 3^{4}\cdot 13^{3}\cdot 29^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.163840000.1 x8 + 2x6 - 2x4 - 8x2 - 4 \( -\,2^{18}\cdot 5^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.163840000.2 x8 - 2x6 - 2x4 + 8x2 - 4 \( -\,2^{18}\cdot 5^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.169996288.1 x8 - 2x7 + 5x6 - 6x5 + 3x4 + 4x3 - 10x2 + 16x - 4 \( -\,2^{12}\cdot 7^{3}\cdot 11^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.187171875.1 x8 - x7 + 4x6 - 2x5 - x4 + 11x3 - 19x2 + 27x - 9 \( -\,3^{2}\cdot 5^{6}\cdot 11^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.190563597.1 x8 - 3x7 + 3x6 - 3x5 - x4 + 6x3 + 6x2 + 3x + 1 \( 3^{4}\cdot 7^{3}\cdot 19^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.190563597.2 x8 - 4x7 + 11x6 - 19x5 + 20x4 - 13x3 - 2x2 + 6x + 3 \( 3^{4}\cdot 7^{3}\cdot 19^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.192036096.1 x8 + 9x4 + 21 \( 2^{8}\cdot 3^{7}\cdot 7^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.192036096.2 x8 - 9x6 + 30x4 - 42x2 + 21 \( 2^{8}\cdot 3^{7}\cdot 7^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.197413632.1 x8 + x4 - 3 \( -\,2^{8}\cdot 3^{3}\cdot 13^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.197413632.2 x8 - x6 - 2x4 + 6x2 - 3 \( -\,2^{8}\cdot 3^{3}\cdot 13^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.210056875.1 x8 - x7 + 4x6 + 2x5 + 8x4 + 3x3 - 9x2 - 6x - 1 \( -\,5^{4}\cdot 7^{2}\cdot 19^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.212960000.1 x8 - 6x4 - 11 \( -\,2^{8}\cdot 5^{4}\cdot 11^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.212960000.2 x8 + x4 - 11 \( -\,2^{8}\cdot 5^{4}\cdot 11^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.216790749.1 x8 - x7 + 7x6 - 13x5 + 25x4 - 40x3 + 49x2 - 40x + 25 \( 3^{7}\cdot 7^{3}\cdot 17^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.240010128.1 x8 - x7 - 5x6 - x5 + 7x4 + 8x3 + 10x2 + 8x + 4 \( 2^{4}\cdot 3^{7}\cdot 19^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.278384067.1 x8 - 3x7 + 7x6 - 9x5 + 9x4 - 7x3 + 2x2 + 6x - 9 \( -\,3^{3}\cdot 13^{4}\cdot 19^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.282300416.1 x8 - 2x7 - x6 + 12x5 - 11x4 - 12x3 + 24x2 - 12x + 2 \( 2^{12}\cdot 41^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.297910000.1 x8 - 3x7 + 4x6 - 5x5 + x4 - 4x3 - 2x2 + 8x - 4 \( -\,2^{4}\cdot 5^{4}\cdot 31^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.314703872.1 x8 + 2x4 + 8 \( 2^{17}\cdot 7^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.314703872.2 x8 - 2x4 + 8 \( 2^{17}\cdot 7^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.321978368.1 x8 - 2x6 + 2x4 + 2x2 + 17 \( 2^{16}\cdot 17^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.4.321978368.1 x8 - 4x7 + 4x6 - x4 + 4x2 - 4x + 1 \( 2^{16}\cdot 17^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.321978368.2 x8 - 6x6 + 18x4 - 26x2 + 17 \( 2^{16}\cdot 17^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.321978368.3 x8 - 8x6 + 25x4 - 34x2 + 17 \( 2^{16}\cdot 17^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) $[2]$
8.0.329042493.1 x8 - x7 - 10x6 + 16x5 + 34x4 - 57x3 - 45x2 + 36x + 63 \( 3^{4}\cdot 13^{3}\cdot 43^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.340075827.1 x8 - x7 - 3x6 + 5x5 - 8x4 + 6x3 + 3x2 + 9x - 3 \( -\,3^{5}\cdot 7^{2}\cdot 13^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.359661568.3 x8 + 2x4 - 7 \( -\,2^{20}\cdot 7^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.410012928.1 x8 + 21x4 + 117 \( 2^{8}\cdot 3^{6}\cdot 13^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) $[2]$
8.2.440061875.1 x8 - 8x6 - 3x5 + 4x4 - 3x3 + 19x2 - 12x - 9 \( -\,5^{4}\cdot 11^{3}\cdot 23^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.2.448524288.1 x8 - 2x7 - x6 + 2x5 + 5x4 - 20x3 + 26x2 - 16x + 4 \( -\,2^{12}\cdot 3^{2}\cdot 23^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.454039808.1 x8 - 2x7 - 3x6 - 2x5 + 15x4 + 6x3 - 6x2 - 4x + 20 \( 2^{8}\cdot 17^{3}\cdot 19^{2} \) $(C_4^2 : C_2):C_2$ (as 8T26) $[2]$
8.0.459636525.1 x8 - x7 - 6x6 + 7x5 + 9x4 - 13x3 + 13x2 - 30x + 21 \( 3^{4}\cdot 5^{2}\cdot 61^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.468512000.1 x8 - 3x4 + 5 \( 2^{8}\cdot 5^{3}\cdot 11^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.468838125.1 x8 - 4x7 + 13x6 - 25x5 + 40x4 - 43x3 + 10x2 + 8x + 1 \( 3^{7}\cdot 5^{4}\cdot 7^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) $[2]$
8.2.488095744.1 x8 - 2x6 + x4 - 8x3 - 2x2 - 4x - 2 \( -\,2^{14}\cdot 31^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.496450053.1 x8 - 3x7 - 5x6 + 15x5 + 13x4 - 24x3 - 12x2 + 9x + 9 \( 3^{4}\cdot 11^{2}\cdot 37^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial
8.0.504166032.1 x8 - x7 - 2x6 + 2x5 + 15x4 + 28x3 + 28x2 + 16x + 4 \( 2^{4}\cdot 3^{4}\cdot 73^{3} \) $(C_4^2 : C_2):C_2$ (as 8T26) $[2]$
8.2.534534400.1 x8 - 4x7 + 10x6 - 6x5 - 11x4 + 34x3 - 32x2 + 10x - 1 \( -\,2^{8}\cdot 5^{2}\cdot 17^{4} \) $(C_4^2 : C_2):C_2$ (as 8T26) Trivial

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