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Label Polynomial Discriminant Galois group Class group
7.7.20134393.1 x7 - x6 - 6x5 + 4x4 + 10x3 - 4x2 - 4x + 1 \( 71\cdot 283583 \) $S_7$ (as 7T7) trivial
7.7.25164057.1 x7 - 2x6 - 5x5 + 9x4 + 7x3 - 10x2 - 2x + 1 \( 3\cdot 8388019 \) $S_7$ (as 7T7) trivial
7.7.25367689.1 x7 - x6 - 6x5 + 4x4 + 9x3 - 4x2 - 3x + 1 \( 17\cdot 23\cdot 64879 \) $S_7$ (as 7T7) trivial
7.7.28118369.1 x7 - 2x6 - 5x5 + 9x4 + 7x3 - 9x2 - 3x + 1 \( 28118369 \) $S_7$ (as 7T7) trivial
7.7.30653489.1 x7 - 7x5 - x4 + 11x3 + 3x2 - 3x - 1 \( 1399\cdot 21911 \) $S_7$ (as 7T7) trivial
7.7.31056073.1 x7 - 3x6 - 3x5 + 11x4 + x3 - 9x2 + 1 \( 1489\cdot 20857 \) $S_7$ (as 7T7) trivial
7.7.32354821.1 x7 - 2x6 - 5x5 + 9x4 + 6x3 - 8x2 - x + 1 \( 32354821 \) $S_7$ (as 7T7) trivial
7.7.32567681.1 x7 - 7x5 - 2x4 + 10x3 + 3x2 - 3x - 1 \( 89\cdot 365929 \) $S_7$ (as 7T7) trivial
7.7.34554953.1 x7 - 2x6 - 5x5 + 9x4 + 5x3 - 8x2 + 1 \( 34554953 \) $S_7$ (as 7T7) trivial
7.7.35269513.1 x7 - 2x6 - 5x5 + 10x4 + 5x3 - 10x2 - x + 1 \( 35269513 \) $S_7$ (as 7T7) trivial
7.7.39610073.1 x7 - x6 - 7x5 + 3x4 + 10x3 - 3x2 - 3x + 1 \( 89\cdot 599\cdot 743 \) $S_7$ (as 7T7) trivial
7.7.39829313.1 x7 - x6 - 7x5 + 5x4 + 13x3 - 5x2 - 6x - 1 \( 373\cdot 106781 \) $S_7$ (as 7T7) trivial
7.7.41153941.1 x7 - x6 - 7x5 + 5x4 + 13x3 - 6x2 - 7x + 1 \( 41153941 \) $S_7$ (as 7T7) trivial
7.7.41455873.1 x7 - 8x5 - x4 + 19x3 + 5x2 - 12x - 5 \( 37\cdot 1120429 \) $S_7$ (as 7T7) trivial
7.7.41783473.1 x7 - 7x5 - x4 + 13x3 + 4x2 - 4x - 1 \( 4639\cdot 9007 \) $S_7$ (as 7T7) trivial
7.7.42855577.1 x7 - x6 - 7x5 + 3x4 + 14x3 + 2x2 - 4x - 1 \( 197\cdot 211\cdot 1031 \) $S_7$ (as 7T7) trivial
7.7.43242544.1 x7 - x6 - 7x5 + 4x4 + 15x3 - 2x2 - 8x - 1 \( 2^{4}\cdot 101\cdot 26759 \) $S_7$ (as 7T7) trivial
7.7.43723857.1 x7 - x6 - 7x5 + 7x4 + 12x3 - 10x2 - 6x + 3 \( 3\cdot 31\cdot 470149 \) $S_7$ (as 7T7) trivial
7.7.46643776.1 x7 - x6 - 7x5 + 3x4 + 13x3 - x2 - 5x - 1 \( 2^{6}\cdot 728809 \) $S_7$ (as 7T7) trivial
7.7.49960857.1 x7 - 7x5 + 13x3 - 5x - 1 \( 3\cdot 16653619 \) $S_7$ (as 7T7) trivial
7.7.52011969.1 x7 - 3x6 - 3x5 + 13x4 - x3 - 13x2 + 4x + 1 \( 3\cdot 251\cdot 69073 \) $S_7$ (as 7T7) trivial
7.7.55073801.1 x7 - 2x6 - 6x5 + 8x4 + 8x3 - 6x2 - 3x + 1 \( 47\cdot 1171783 \) $S_7$ (as 7T7) trivial
7.7.55078981.1 x7 - x6 - 7x5 + 2x4 + 12x3 - 5x - 1 \( 55078981 \) $S_7$ (as 7T7) trivial
7.7.55311169.1 x7 - x6 - 7x5 + 8x4 + 10x3 - 11x2 - 2x + 1 \( 313\cdot 176713 \) $S_7$ (as 7T7) trivial
7.7.57936017.1 x7 - x6 - 7x5 + 6x4 + 11x3 - 5x2 - 3x + 1 \( 17\cdot 3408001 \) $S_7$ (as 7T7) trivial
7.7.58355513.1 x7 - 2x6 - 5x5 + 9x4 + 5x3 - 7x2 - x + 1 \( 563\cdot 103651 \) $S_7$ (as 7T7) trivial
7.7.61136809.1 x7 - 7x5 - 2x4 + 12x3 + 5x2 - 3x - 1 \( 397\cdot 153997 \) $S_7$ (as 7T7) trivial
7.7.63128113.1 x7 - 2x6 - 5x5 + 8x4 + 6x3 - 7x2 - x + 1 \( 109\cdot 269\cdot 2153 \) $S_7$ (as 7T7) trivial
7.7.65698681.1 x7 - x6 - 8x5 + x4 + 12x3 - x2 - 4x + 1 \( 3359\cdot 19559 \) $S_7$ (as 7T7) trivial
7.7.65845693.1 x7 - 7x5 - 2x4 + 11x3 + 3x2 - 4x - 1 \( 5939\cdot 11087 \) $S_7$ (as 7T7) trivial
7.7.67159593.1 x7 - 3x6 - 3x5 + 11x4 + 2x3 - 10x2 + 1 \( 3^{2}\cdot 43\cdot 173539 \) $S_7$ (as 7T7) trivial
7.7.68249369.1 x7 - x6 - 7x5 + 2x4 + 12x3 + x2 - 4x - 1 \( 109\cdot 293\cdot 2137 \) $S_7$ (as 7T7) trivial
7.7.69012929.1 x7 - 2x6 - 6x5 + 8x4 + 11x3 - 6x2 - 6x - 1 \( 619\cdot 111491 \) $S_7$ (as 7T7) trivial
7.7.69678137.1 x7 - 3x6 - 3x5 + 13x4 - 2x3 - 9x2 + x + 1 \( 191\cdot 601\cdot 607 \) $S_7$ (as 7T7) trivial
7.7.69836041.1 x7 - 3x6 - 4x5 + 16x4 - 20x2 + 8x + 1 \( 11\cdot 577\cdot 11003 \) $S_7$ (as 7T7) trivial
7.7.70244521.1 x7 - 7x5 - x4 + 13x3 + 2x2 - 6x - 1 \( 41\cdot 1713281 \) $S_7$ (as 7T7) trivial
7.7.75602713.1 x7 - 2x6 - 6x5 + 10x4 + 9x3 - 13x2 - x + 1 \( 1409\cdot 53657 \) $S_7$ (as 7T7) trivial
7.7.75630121.1 x7 - x6 - 8x5 + 9x4 + 16x3 - 18x2 - 7x + 7 \( 7\cdot 263\cdot 41081 \) $S_7$ (as 7T7) trivial
7.7.77004029.1 x7 - x6 - 7x5 + 4x4 + 15x3 - 2x2 - 9x - 2 \( 77004029 \) $S_7$ (as 7T7) trivial
7.7.78373945.1 x7 - x6 - 7x5 + 3x4 + 13x3 + x2 - 4x - 1 \( 5\cdot 13\cdot 1205753 \) $S_7$ (as 7T7) trivial
7.7.78534833.1 x7 - x6 - 7x5 + 5x4 + 14x3 - 4x2 - 8x - 1 \( 13\cdot 211\cdot 28631 \) $S_7$ (as 7T7) trivial
7.7.79044293.1 x7 - 2x6 - 5x5 + 8x4 + 7x3 - 7x2 - 2x + 1 \( 109^{2}\cdot 6653 \) $S_7$ (as 7T7) trivial
7.7.79397476.1 x7 - 3x6 - 3x5 + 13x4 - x3 - 12x2 + 2x + 2 \( 2^{2}\cdot 29\cdot 47\cdot 14563 \) $S_7$ (as 7T7) trivial
7.7.79438057.1 x7 - 8x5 - 4x4 + 10x3 + 4x2 - 3x - 1 \( 613\cdot 129589 \) $S_7$ (as 7T7) trivial
7.7.80750473.1 x7 - x6 - 7x5 + 6x4 + 9x3 - 5x2 - 3x + 1 \( 80750473 \) $S_7$ (as 7T7) trivial
7.7.81323773.1 x7 - 3x6 - 3x5 + 12x4 + x3 - 12x2 + x + 2 \( 81323773 \) $S_7$ (as 7T7) trivial
7.7.81437164.1 x7 - 7x5 - x4 + 12x3 + 2x2 - 4x - 1 \( 2^{2}\cdot 1787\cdot 11393 \) $S_7$ (as 7T7) trivial
7.7.82916101.1 x7 - 2x6 - 6x5 + 8x4 + 12x3 - 7x2 - 6x + 1 \( 73\cdot 1135837 \) $S_7$ (as 7T7) trivial
7.7.83266101.1 x7 - 8x5 - x4 + 18x3 + 5x2 - 10x - 4 \( 3^{2}\cdot 359\cdot 25771 \) $S_7$ (as 7T7) trivial
7.7.83934569.1 x7 - 8x5 + 19x3 - x2 - 13x + 1 \( 83934569 \) $S_7$ (as 7T7) trivial
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