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Label Polynomial Discriminant Galois group Class group
8.0.1327833.1 x8 - x7 + x6 - 2x5 + 3x4 - 4x3 + 4x2 - 2x + 1 \( 3^{4}\cdot 13^{2}\cdot 97 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.1492101.1 x8 - x7 + x6 - 3x5 + x4 - 2x3 + 3x2 + 1 \( 3^{4}\cdot 13^{2}\cdot 109 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.1820637.1 x8 - x7 + x5 - x4 - 2x3 + 2x + 1 \( 3^{4}\cdot 7\cdot 13^{2}\cdot 19 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.2149173.1 x8 - x7 - 2x6 + 2x5 + x3 + x2 - 2x + 1 \( 3^{4}\cdot 13^{2}\cdot 157 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.2178981.1 x8 - x7 - x6 + 2x5 + x4 - 2x3 - x2 + x + 1 \( 3^{6}\cdot 7^{2}\cdot 61 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.2193125.1 x8 - 2x7 + 4x6 - 5x5 + 5x4 - 5x3 + 4x2 - 2x + 1 \( 5^{4}\cdot 11^{2}\cdot 29 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.2477709.1 x8 - x7 + 3x5 - x3 + 2x2 + 2x + 1 \( 3^{4}\cdot 13^{2}\cdot 181 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.2970513.1 x8 - 2x7 + 2x6 - 2x5 + 3x4 - 3x2 + x + 1 \( 3^{4}\cdot 7\cdot 13^{2}\cdot 31 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.3299049.1 x8 - 3x7 + 7x5 - 5x4 - 3x3 + 4x2 - x + 1 \( 3^{4}\cdot 13^{2}\cdot 241 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.3322053.1 x8 - 2x7 + 4x6 - 5x5 + 7x4 - 5x3 + 4x2 - 2x + 1 \( 3^{7}\cdot 7^{2}\cdot 31 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.3791853.1 x8 - x7 - 2x6 + 6x5 - 2x4 - 5x3 + 6x2 - 3x + 1 \( 3^{4}\cdot 13^{2}\cdot 277 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.3791853.2 x8 - 2x7 - 2x6 + 5x5 + 3x4 - 5x3 - 2x2 + 2x + 1 \( 3^{4}\cdot 13^{2}\cdot 277 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.4120389.1 x8 - x7 - 2x5 + 5x4 + x3 - 3x2 - x + 1 \( 3^{4}\cdot 7\cdot 13^{2}\cdot 43 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.4120389.2 x8 - 4x7 + 7x6 - 7x5 + 3x4 + x3 - 2x2 + x + 1 \( 3^{4}\cdot 7\cdot 13^{2}\cdot 43 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.2.4461875.1 x8 - x7 + x6 + 2x5 - 2x4 + 2x2 - x - 1 \( -\,5^{4}\cdot 11^{2}\cdot 59 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.4558437.1 x8 - x7 + 5x6 - 4x5 + 10x4 - 8x3 + 8x2 - 5x + 1 \( 3^{6}\cdot 13^{2}\cdot 37 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.2.4616192.1 x8 - 2x7 + 3x6 - 4x5 + 3x4 - 4x3 + 3x2 - 2x + 1 \( -\,2^{12}\cdot 7^{2}\cdot 23 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.4750893.1 x8 - x7 - x6 - x5 + x4 + x3 + 2x2 - 2x + 1 \( 3^{6}\cdot 7^{3}\cdot 19 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.2.4960000.1 x8 - 2x7 + 4x5 - 8x4 + 10x3 - 7x2 + 4x - 1 \( -\,2^{8}\cdot 5^{4}\cdot 31 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.2.5369375.1 x8 - 2x7 + 2x6 - 4x3 + 5x2 - 4x + 1 \( -\,5^{4}\cdot 11^{2}\cdot 71 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.5434533.1 x8 - x7 - 4x5 + 2x4 + 4x3 + x2 - 3x + 1 \( 3^{4}\cdot 13^{2}\cdot 397 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.5608197.1 x8 - 2x7 - x6 + 7x5 - 5x4 - 4x3 + 8x2 - 4x + 1 \( 3^{6}\cdot 7^{2}\cdot 157 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.5685568.1 x8 - x7 + 2x5 - x4 - 2x3 + x + 1 \( 2^{6}\cdot 7^{4}\cdot 37 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.5763069.1 x8 - 4x7 + 5x6 - x5 - 3x3 + 2x + 1 \( 3^{4}\cdot 13^{2}\cdot 421 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.2.5781875.1 x8 - x7 + x6 - 2x5 + x4 - 2x3 + x2 - x + 1 \( -\,5^{4}\cdot 11\cdot 29^{2} \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.5918720.1 x8 - 2x7 - 2x6 + 6x5 - 3x4 - 2x3 + 6x2 - 4x + 1 \( 2^{12}\cdot 5\cdot 17^{2} \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.6320673.1 x8 - x7 - x6 - x4 + 2x2 + 2x + 1 \( 3^{5}\cdot 19\cdot 37^{2} \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.6329421.1 x8 - x7 - x6 + 3x5 - x4 + 2x2 - x + 1 \( 3^{5}\cdot 7\cdot 61^{2} \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.6420141.1 x8 - x7 - x6 - 4x4 + 8x2 + 5x + 1 \( 3^{4}\cdot 7\cdot 13^{2}\cdot 67 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.6543125.1 x8 - x7 - x5 + x4 + 2x3 - 2x + 1 \( 5^{4}\cdot 19^{2}\cdot 29 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.6584409.1 x8 - x7 + 6x6 - 5x5 + 11x4 - 5x3 + 6x2 - x + 1 \( 3^{4}\cdot 13^{3}\cdot 37 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.6963200.1 x8 - 2x7 + 2x5 - 2x3 + 2x + 1 \( 2^{14}\cdot 5^{2}\cdot 17 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.7176448.1 x8 + x6 - x4 + x2 - 2x + 1 \( 2^{8}\cdot 17^{2}\cdot 97 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.7179921.1 x8 - x7 + x6 + 2x5 - 5x4 + 2x3 + 4x2 - 4x + 1 \( 3^{7}\cdot 7^{2}\cdot 67 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.7405749.1 x8 - x7 - 5x6 + 4x5 + 9x4 - 4x3 - 5x2 + x + 1 \( 3^{4}\cdot 13^{2}\cdot 541 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.7638125.1 x8 - 2x7 + 2x6 - 2x5 + 3x4 - x3 - 2x2 + x + 1 \( 5^{4}\cdot 11^{2}\cdot 101 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.8062821.1 x8 - x7 + 5x6 - 6x5 + 11x4 - 9x3 + 11x2 - 4x + 1 \( 3^{4}\cdot 13^{2}\cdot 19\cdot 31 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.8228864.1 x8 + 2x6 - 2x5 + 2x4 - 4x3 + 3x2 - 2x + 1 \( 2^{12}\cdot 7^{2}\cdot 41 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.8465877.1 x8 - 4x7 + 7x6 - 7x5 + 7x4 - 7x3 + 4x2 - x + 1 \( 3^{7}\cdot 7^{2}\cdot 79 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.8993673.1 x8 - 2x7 - x6 + 7x5 - 2x4 - 7x3 + 5x2 + 5x + 1 \( 3^{6}\cdot 13^{2}\cdot 73 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.9048429.1 x8 - 2x7 + 3x6 - 5x5 + 5x4 + 2x3 + x2 + 3x + 1 \( 3^{4}\cdot 13^{2}\cdot 661 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.9212697.1 x8 - 3x7 + 6x6 - 12x5 + 17x4 - 18x3 + 18x2 - 15x + 7 \( 3^{4}\cdot 13^{2}\cdot 673 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.2.9610000.1 x8 + x6 + 3x2 - 1 \( -\,2^{4}\cdot 5^{4}\cdot 31^{2} \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.9705501.1 x8 - 3x7 + 9x6 - 17x5 + 25x4 - 30x3 + 25x2 - 16x + 7 \( 3^{4}\cdot 13^{2}\cdot 709 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.9737253.1 x8 + x6 - 3x5 - 3x4 + 4x2 + 3x + 1 \( 3^{6}\cdot 19^{2}\cdot 37 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.9751833.1 x8 - x7 + x6 + 2x5 + x4 - 4x3 - 2x2 + 2x + 1 \( 3^{7}\cdot 7^{3}\cdot 13 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.9869769.1 x8 - 3x7 + 4x6 + x5 - 7x4 - x3 + 6x2 - x + 1 \( 3^{4}\cdot 7\cdot 13^{2}\cdot 103 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.9869769.2 x8 - 2x7 + 4x6 - 3x5 + 4x4 + 2x3 + 6x2 + 3x + 1 \( 3^{4}\cdot 7\cdot 13^{2}\cdot 103 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.2.9906875.1 x8 - 2x7 + 2x6 + x5 - 4x4 + 7x3 - 7x2 + 4x - 1 \( -\,5^{4}\cdot 11^{2}\cdot 131 \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial
8.0.9907677.1 x8 - x7 - 2x5 - x4 + x3 + 3x2 + 2x + 1 \( 3^{4}\cdot 13\cdot 97^{2} \) $C_2 \wr C_2\wr C_2$ (as 8T35) Trivial

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