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Label Polynomial Discriminant Galois group Class group
7.3.2007889.1 x7 - x6 - 3x5 + x4 + 4x3 - x2 - x + 1 \( 13^{2}\cdot 109^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.2007889.2 x7 - 2x6 - x5 + 4x4 - 3x2 - x + 1 \( 13^{2}\cdot 109^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.6431296.1 x7 - 2x6 + 2x4 - 2x3 + 2x2 - 2 \( 2^{6}\cdot 317^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.6431296.2 x7 - 3x6 + 3x5 - x4 - 5x3 + 5x2 + 3x - 1 \( 2^{6}\cdot 317^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.7513081.1 x7 - x6 - 4x5 + x4 + 4x3 - 3x + 1 \( 2741^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.7513081.2 x7 - x6 + 2x5 - 3x4 - 4x3 + 2x2 + 3x + 1 \( 2741^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.9388096.1 x7 - x6 + 2x5 + 2x4 - 5x3 + 7x2 - 5x + 1 \( 2^{6}\cdot 383^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.9388096.2 x7 - x6 - x5 - 5x4 + 2x3 + 4x2 + 6x + 2 \( 2^{6}\cdot 383^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.12559936.1 x7 - 3x6 + 3x5 + x4 - 3x3 + x2 - x - 1 \( 2^{6}\cdot 443^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.12559936.2 x7 - 3x6 + x5 + 3x4 - x3 + x2 - 3x - 1 \( 2^{6}\cdot 443^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.13366336.1 x7 - 2x6 + 2x5 + 2x4 - 4x3 + 4x2 - 4 \( 2^{6}\cdot 457^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.13366336.2 x7 - 2x6 - 2x5 + 6x4 - 4x3 - 2x2 + 4x - 2 \( 2^{6}\cdot 457^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.14462809.1 x7 - 3x6 + 3x5 + 3x4 - 13x3 + 17x2 - 10x + 1 \( 3803^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.14462809.2 x7 - 2x5 - 4x4 - x3 + 5x2 + 5x + 1 \( 3803^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.15429184.1 x7 - 3x6 + 7x5 - 5x4 + x3 + 7x2 - 3x - 1 \( 2^{6}\cdot 491^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.15429184.2 x7 - 3x6 - x5 + 9x4 - 12x2 + 4 \( 2^{6}\cdot 491^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.15864289.1 x7 - x6 + x5 - 4x4 + 4x3 - 5x2 + 2x + 1 \( 7^{2}\cdot 569^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.15864289.2 x7 - x6 - 3x5 - x4 + 2x3 + 4x2 + 4x + 1 \( 7^{2}\cdot 569^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.17280649.1 x7 - x6 - 4x5 + x4 + 8x3 + x2 - 4x - 1 \( 4157^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.17280649.2 x7 - 2x6 + 4x4 - 3x3 - 4x2 + 2x + 1 \( 4157^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.17372224.1 x7 - 2x5 - 4x4 - 2x3 - 2x2 + 2 \( 2^{6}\cdot 521^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.17372224.2 x7 - 3x6 + 5x5 - 7x4 + 5x3 - 3x2 - x + 1 \( 2^{6}\cdot 521^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.19456921.1 x7 - 3x6 + 5x4 - 2x3 - 2x2 + 4x - 1 \( 11^{2}\cdot 401^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.19456921.2 x7 - 5x5 - 4x4 + 3x3 + 3x2 + 2x + 4 \( 11^{2}\cdot 401^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.23785129.1 x7 - 3x6 + 5x5 - 3x4 + 2x2 - 5x + 1 \( 4877^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.23785129.2 x7 - 4x5 - 6x4 + 3x3 + 12x2 + 9x + 4 \( 4877^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.25806400.1 x7 - 3x6 + x5 + 7x4 - 9x3 - x2 + 7x + 1 \( 2^{6}\cdot 5^{2}\cdot 127^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.25806400.2 x7 - x6 - 3x5 + 7x4 - 7x3 - x2 + 3x - 1 \( 2^{6}\cdot 5^{2}\cdot 127^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.27290176.1 x7 - 3x6 + 4x5 - 5x3 + 5x2 + 3x - 1 \( 2^{6}\cdot 653^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.27290176.2 x7 - 2x6 + x5 - 3x4 + 2x3 + 6x2 - 6x + 2 \( 2^{6}\cdot 653^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.27962944.1 x7 - 2x6 - 2x5 + 4x4 + 8x2 - 12x + 4 \( 2^{6}\cdot 661^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.27962944.2 x7 - x6 + x5 + 3x4 - 5x3 + 7x2 - 5x + 1 \( 2^{6}\cdot 661^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.28291761.1 x7 - 6x5 - 6x4 + 3x3 + 6x2 + 2x - 3 \( 3^{6}\cdot 197^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.28291761.2 x7 - 2x6 + 3x5 - 6x4 + 3x3 - 6x2 + 5x - 1 \( 3^{6}\cdot 197^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.28912129.1 x7 + x5 - x4 - 5x3 + 2x2 + 2x - 1 \( 19^{2}\cdot 283^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.28912129.2 x7 - x5 - 5x4 - 7x3 - 5x2 - 3x + 1 \( 19^{2}\cdot 283^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.30063289.1 x7 - 2x6 - x5 + 9x4 - 11x3 + 4x2 + 3x - 2 \( 5483^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.30063289.2 x7 - x6 - 4x5 + 3x4 + 8x3 - 6x + 1 \( 5483^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.30558784.1 x7 - 3x6 + 4x5 - 5x4 + 3x3 - x2 - 2x + 1 \( 2^{6}\cdot 691^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.30558784.2 x7 - x5 - 2x4 - 2x3 + 2x2 - x + 4 \( 2^{6}\cdot 691^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.32684089.1 x7 - x6 - 2x5 + 4x4 - x3 - 2x2 - x + 1 \( 5717^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.32684089.2 x7 - x6 - x5 - 2x4 - 7x3 - x2 + 3x + 1 \( 5717^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.32913169.1 x7 - x6 - 2x4 - 9x3 + 2x2 - 3x - 1 \( 5737^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.32913169.2 x7 - 2x6 + 3x5 - 4x3 + 5x2 - x - 1 \( 5737^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.35331136.1 x7 - 2x6 - 3x5 + 4x4 + 5x3 - 3x - 4 \( 2^{6}\cdot 743^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.35331136.2 x7 - x6 + x5 + 5x4 - 6x3 + 4x2 + 8x - 8 \( 2^{6}\cdot 743^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.36445369.1 x7 - x6 + 4x5 - x4 + 4x3 - 4x2 - x + 1 \( 6037^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.36445369.2 x7 - x6 - 2x5 - x4 + 6x2 + 5x + 1 \( 6037^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.37884025.1 x7 - 3x5 - 6x4 + x3 + 6x2 + 7x + 1 \( 5^{2}\cdot 1231^{2} \) $\GL(3,2)$ (as 7T5) Trivial
7.3.37884025.2 x7 - 3x6 + 5x5 - 3x4 - 8x3 + 18x2 - 22x + 13 \( 5^{2}\cdot 1231^{2} \) $\GL(3,2)$ (as 7T5) Trivial

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