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Label Polynomial Discriminant Galois group Class group
6.2.142805.1 x6 - 2x5 + x3 - 2x + 1 \( 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.4.885391.1 x6 - x5 - 3x4 + 7x3 - x2 - 3x + 1 \( -\,13^{4}\cdot 31 \) $A_4\times C_2$ (as 6T6) trivial
6.0.1342367.1 x6 - x5 + 2x4 - 5x3 + 4x2 - 4x + 8 \( -\,13^{4}\cdot 47 \) $A_4\times C_2$ (as 6T6) trivial
6.2.2084953.1 x6 - x5 + 5x3 + 4x - 1 \( 13^{4}\cdot 73 \) $A_4\times C_2$ (as 6T6) trivial
6.4.2370563.1 x6 - x5 - 8x3 + 4x - 1 \( -\,13^{4}\cdot 83 \) $A_4\times C_2$ (as 6T6) trivial
6.2.3113149.1 x6 - 2x5 + x4 - 9x3 + 10x2 - 5x - 1 \( 13^{4}\cdot 109 \) $A_4\times C_2$ (as 6T6) trivial
6.6.3570125.1 x6 - x5 - 12x4 + 13x3 + 19x2 - 10x - 5 \( 5^{3}\cdot 13^{4} \) $C_6$ (as 6T1) trivial
6.4.3855735.1 x6 - 2x5 - 2x4 + 8x3 - 5x2 - 6x + 1 \( -\,3^{3}\cdot 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.4.4312711.1 x6 - 2x5 + x4 + 4x3 - 16x2 + 8x - 1 \( -\,13^{4}\cdot 151 \) $A_4\times C_2$ (as 6T6) trivial
6.2.6540469.1 x6 - 2x5 - x4 - 2x3 - 5x2 - 11x - 5 \( 13^{4}\cdot 229 \) $A_4\times C_2$ (as 6T6) trivial
6.4.6826079.1 x6 - 2x5 - 2x4 - 5x3 + 8x2 + 7x + 1 \( -\,13^{4}\cdot 239 \) $A_4\times C_2$ (as 6T6) trivial
6.6.7568665.1 x6 - x5 - 7x4 + x3 + 7x2 - x - 1 \( 5\cdot 13^{4}\cdot 53 \) $A_4\times C_2$ (as 6T6) trivial
6.2.7568665.1 x6 - 3x5 + 5x4 - 5x3 - x2 + 3x - 5 \( 5\cdot 13^{4}\cdot 53 \) $A_4\times C_2$ (as 6T6) trivial
6.2.7568665.2 x6 - 2x5 + 4x4 - 13x3 + 18x2 - 21x + 5 \( 5\cdot 13^{4}\cdot 53 \) $A_4\times C_2$ (as 6T6) trivial
6.2.8025641.1 x6 - 3x5 + 9x4 - 13x3 + 5x2 + x - 5 \( 13^{4}\cdot 281 \) $A_4\times C_2$ (as 6T6) trivial
6.4.8768227.1 x6 - 2x5 + 14x3 - 26x2 + 11x + 1 \( -\,13^{4}\cdot 307 \) $A_4\times C_2$ (as 6T6) trivial
6.6.9053837.1 x6 - x5 - 10x4 + 16x3 + 7x2 - 17x + 5 \( 13^{4}\cdot 317 \) $A_4\times C_2$ (as 6T6) trivial
6.4.9139520.1 x6 - 2x4 - 3x2 + 5 \( -\,2^{6}\cdot 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.0.9139520.1 x6 + 7x4 + 12x2 + 5 \( -\,2^{6}\cdot 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) $[2]$
6.4.9139520.2 x6 - 6x4 - x2 + 5 \( -\,2^{6}\cdot 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.4.9139520.3 x6 - 5x4 + 4x2 + 5 \( -\,2^{6}\cdot 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.6.9139520.1 x6 - 7x4 + 12x2 - 5 \( 2^{6}\cdot 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.2.9139520.1 x6 + 6x4 - x2 - 5 \( 2^{6}\cdot 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.2.9139520.2 x6 + 5x4 + 4x2 - 5 \( 2^{6}\cdot 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.0.9796423.1 x6 - x5 - 3x4 + 7x3 + 25x2 - 55x + 79 \( -\,7^{3}\cdot 13^{4} \) $C_6$ (as 6T1) trivial
6.4.10253399.1 x6 - 3x5 + x4 + 3x3 - 5x2 + 3x + 5 \( -\,13^{4}\cdot 359 \) $A_4\times C_2$ (as 6T6) trivial
6.4.11281595.1 x6 - x5 - 3x4 - 6x3 - 14x2 - 3x + 1 \( -\,5\cdot 13^{4}\cdot 79 \) $A_4\times C_2$ (as 6T6) trivial
6.4.11281595.2 x6 - x5 - 3x4 - 6x3 - x2 + 10x + 1 \( -\,5\cdot 13^{4}\cdot 79 \) $A_4\times C_2$ (as 6T6) trivial
6.4.11281595.3 x6 - 2x5 - 5x4 - x3 + 12x2 + 15x + 5 \( -\,5\cdot 13^{4}\cdot 79 \) $A_4\times C_2$ (as 6T6) trivial
6.2.12024181.1 x6 - x5 + 3x4 - 10x3 - 6x2 - 17x + 5 \( 13^{4}\cdot 421 \) $A_4\times C_2$ (as 6T6) trivial
6.4.13223743.1 x6 - x5 + 2x4 - 5x3 - 22x2 + 22x - 5 \( -\,13^{4}\cdot 463 \) $A_4\times C_2$ (as 6T6) trivial
6.4.14251939.1 x6 - 2x5 - 2x4 + 8x3 - 18x2 + 7x + 1 \( -\,13^{4}\cdot 499 \) $A_4\times C_2$ (as 6T6) trivial
6.4.14623232.1 x6 + 2x4 - 16x2 + 8 \( -\,2^{9}\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.0.14623232.1 x6 - 2x5 - x4 - 2x3 + 34x2 + 28x + 73 \( -\,2^{9}\cdot 13^{4} \) $C_6$ (as 6T1) trivial
6.6.14623232.1 x6 - 2x5 - 13x4 + 14x3 + 26x2 - 28x + 1 \( 2^{9}\cdot 13^{4} \) $C_6$ (as 6T1) trivial
6.2.14623232.3 x6 - 2x4 - 16x2 - 8 \( 2^{9}\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) trivial
6.0.14708915.1 x6 - x5 + 6x4 - 12x3 + 20x2 - 14x + 25 \( -\,5\cdot 13^{4}\cdot 103 \) $A_4\times C_2$ (as 6T6) $[2]$
6.4.14708915.1 x6 - x5 - 11x4 + 8x3 + 17x2 + 22x - 5 \( -\,5\cdot 13^{4}\cdot 103 \) $A_4\times C_2$ (as 6T6) trivial
6.4.14708915.2 x6 - x5 + 3x4 + 16x3 - 6x2 - 17x + 5 \( -\,5\cdot 13^{4}\cdot 103 \) $A_4\times C_2$ (as 6T6) trivial
6.6.15451501.1 x6 - 3x5 - 4x4 + 13x3 + 5x2 - 12x - 5 \( 13^{4}\cdot 541 \) $A_4\times C_2$ (as 6T6) trivial
6.2.16479697.1 x6 - 2x5 + 14x3 - 39x2 + 50x - 25 \( 13^{4}\cdot 577 \) $A_4\times C_2$ (as 6T6) $[3]$
6.2.16936673.1 x6 - x5 - 3x4 + 7x3 - x2 - 3x - 25 \( 13^{4}\cdot 593 \) $A_4\times C_2$ (as 6T6) trivial
6.4.17679259.1 x6 - x5 - 10x4 - 10x3 - 6x2 - 4x + 5 \( -\,13^{4}\cdot 619 \) $A_4\times C_2$ (as 6T6) trivial
6.4.18707455.1 x6 - 2x5 - 5x4 - x3 + 12x2 + 28x - 8 \( -\,5\cdot 13^{4}\cdot 131 \) $A_4\times C_2$ (as 6T6) trivial
6.0.18707455.1 x6 - 2x5 + 8x4 - x3 + 12x2 + 15x + 31 \( -\,5\cdot 13^{4}\cdot 131 \) $A_4\times C_2$ (as 6T6) $[2]$
6.4.18707455.2 x6 - 2x5 - 5x4 + 12x3 - 14x2 + 2x + 5 \( -\,5\cdot 13^{4}\cdot 131 \) $A_4\times C_2$ (as 6T6) trivial
6.6.20935213.1 x6 - x5 - 11x4 + 8x3 + 17x2 - 4x - 5 \( 13^{4}\cdot 733 \) $A_4\times C_2$ (as 6T6) trivial
6.0.22134775.1 x6 - x5 + 6x4 + x3 + 20x2 + 12x + 25 \( -\,5^{2}\cdot 13^{4}\cdot 31 \) $A_4\times C_2$ (as 6T6) $[2, 2]$
6.4.22134775.1 x6 - 2x5 + 4x4 + 13x3 - 34x2 + 5x + 5 \( -\,5^{2}\cdot 13^{4}\cdot 31 \) $A_4\times C_2$ (as 6T6) trivial
6.4.22134775.2 x6 - 3x5 + x4 + 3x3 - 31x2 + 29x + 5 \( -\,5^{2}\cdot 13^{4}\cdot 31 \) $A_4\times C_2$ (as 6T6) trivial
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