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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
3.17689.42t37.a.a 3.17689.42t37.a.b $3$ $ 7^{2} \cdot 19^{2}$ x7 - x6 + x5 + x4 - 3x3 + 5x2 - 2x - 1 $\GL(3,2)$ $0$ $-1$
3.29768.42t37.a.a 3.29768.42t37.a.b $3$ $ 2^{3} \cdot 61^{2}$ x7 - 2x6 - 4x5 + 6x4 + 8x3 - 22x2 + 16x - 2 $\GL(3,2)$ $0$ $-1$
3.44944.42t37.a.a 3.44944.42t37.a.b $3$ $ 2^{4} \cdot 53^{2}$ x7 - 7x5 - 10x4 + 3x3 + 3x + 2 $\GL(3,2)$ $0$ $-1$
3.95832.42t37.a.a 3.95832.42t37.a.b $3$ $ 2^{3} \cdot 3^{2} \cdot 11^{3}$ x7 - x6 - 9x5 - x4 + 19x3 + 21x2 - 23x - 13 $\GL(3,2)$ $0$ $-1$
3.194481.42t37.a.a 3.194481.42t37.a.b $3$ $ 3^{4} \cdot 7^{4}$ x7 - 7x4 - 21x3 + 21x2 + 42x - 9 $\GL(3,2)$ $0$ $-1$
3.202248.42t37.a.a 3.202248.42t37.a.b $3$ $ 2^{3} \cdot 3^{2} \cdot 53^{2}$ x7 - 2x6 - 4x5 + 10x3 + 4x2 - 10x - 6 $\GL(3,2)$ $0$ $-1$
3.299475.42t37.a.a 3.299475.42t37.a.b $3$ $ 3^{2} \cdot 5^{2} \cdot 11^{3}$ x7 - x6 - 9x5 + 21x4 - 3x3 - 23x2 + 10x + 9 $\GL(3,2)$ $0$ $-1$
3.340736.42t37.a.a 3.340736.42t37.a.b $3$ $ 2^{8} \cdot 11^{3}$ x7 - x6 + 2x5 - 12x4 - 14x3 + 10x2 + 10x - 2 $\GL(3,2)$ $0$ $-1$
3.345744.42t37.a.a 3.345744.42t37.a.b $3$ $ 2^{4} \cdot 3^{2} \cdot 7^{4}$ x7 - 7x5 + 21x3 - 14x2 - 7x + 4 $\GL(3,2)$ $0$ $-1$
3.376712.42t37.a.a 3.376712.42t37.a.b $3$ $ 2^{3} \cdot 7^{2} \cdot 31^{2}$ x7 + 2x5 - 12x3 - 2x2 + 6x - 2 $\GL(3,2)$ $0$ $-1$
3.532400.42t37.a.a 3.532400.42t37.a.b $3$ $ 2^{4} \cdot 5^{2} \cdot 11^{3}$ x7 - x6 - 9x5 - x4 + 8x3 - 12x2 - 12x - 2 $\GL(3,2)$ $0$ $-1$
3.614656.42t37.a.a 3.614656.42t37.a.b $3$ $ 2^{8} \cdot 7^{4}$ x7 - 7x5 - 14x4 - 7x3 - 7x + 2 $\GL(3,2)$ $0$ $-1$
3.803912.42t37.a.a 3.803912.42t37.a.b $3$ $ 2^{3} \cdot 317^{2}$ x7 - 2x6 + 2x4 - 2x3 + 2x2 - 2 $\GL(3,2)$ $0$ $-1$
3.1279091.42t37.a.a 3.1279091.42t37.a.b $3$ $ 11^{3} \cdot 31^{2}$ x7 - 11x5 - 22x4 + 33x2 + 33x + 11 $\GL(3,2)$ $0$ $-1$
3.1569992.42t37.a.a 3.1569992.42t37.a.b $3$ $ 2^{3} \cdot 443^{2}$ x7 - 3x6 + x5 + 3x4 - x3 + x2 - 3x - 1 $\GL(3,2)$ $0$ $-1$
3.1670792.42t37.a.a 3.1670792.42t37.a.b $3$ $ 2^{3} \cdot 457^{2}$ x7 - 2x6 + 2x5 + 2x4 - 4x3 + 4x2 - 4 $\GL(3,2)$ $0$ $-1$
3.2007889.42t37.a.a 3.2007889.42t37.a.b $3$ $ 13^{2} \cdot 109^{2}$ x7 - 2x6 - x5 + 4x4 - 3x2 - x + 1 $\GL(3,2)$ $0$ $-1$
3.2171528.42t37.a.a 3.2171528.42t37.a.b $3$ $ 2^{3} \cdot 521^{2}$ x7 - 3x6 + 5x5 - 7x4 + 5x3 - 3x2 - x + 1 $\GL(3,2)$ $0$ $-1$
3.3143529.42t37.a.a 3.3143529.42t37.a.b $3$ $ 3^{4} \cdot 197^{2}$ x7 - 6x5 - 6x4 + 3x3 + 6x2 + 2x - 3 $\GL(3,2)$ $0$ $-1$
3.3225800.42t37.a.a 3.3225800.42t37.a.b $3$ $ 2^{3} \cdot 5^{2} \cdot 127^{2}$ x7 - x6 - 3x5 + 7x4 - 7x3 - x2 + 3x - 1 $\GL(3,2)$ $0$ $-1$
3.3495368.42t37.a.a 3.3495368.42t37.a.b $3$ $ 2^{3} \cdot 661^{2}$ x7 - x6 + x5 + 3x4 - 5x3 + 7x2 - 5x + 1 $\GL(3,2)$ $0$ $-1$
3.3857296.42t37.a.a 3.3857296.42t37.a.b $3$ $ 2^{4} \cdot 491^{2}$ x7 - 3x6 + 7x5 - 5x4 + x3 + 7x2 - 3x - 1 $\GL(3,2)$ $0$ $-1$
3.5392328.42t37.a.a 3.5392328.42t37.a.b $3$ $ 2^{3} \cdot 821^{2}$ x7 - 2x5 - 4x4 + 4x2 - 4x - 2 $\GL(3,2)$ $0$ $-1$
3.7513081.42t37.a.a 3.7513081.42t37.a.b $3$ $ 2741^{2}$ x7 - x6 - 4x5 + x4 + 4x3 - 3x + 1 $\GL(3,2)$ $0$ $-1$
3.7542728.42t37.a.a 3.7542728.42t37.a.b $3$ $ 2^{3} \cdot 971^{2}$ x7 - 2x6 - 2x5 + 4x4 - 4x2 + 2x + 2 $\GL(3,2)$ $0$ $-1$
3.8209352.42t37.a.a 3.8209352.42t37.a.b $3$ $ 2^{3} \cdot 1013^{2}$ x7 - 2x6 + 2x5 - 8x4 + 16x3 - 16x2 + 10x - 2 $\GL(3,2)$ $0$ $-1$
3.8669448.42t37.a.a 3.8669448.42t37.a.b $3$ $ 2^{3} \cdot 3^{2} \cdot 347^{2}$ x7 - 3x6 + 3x5 + x4 - 9x3 + 9x2 - 3x + 3 $\GL(3,2)$ $0$ $-1$
3.8832784.42t37.a.a 3.8832784.42t37.a.b $3$ $ 2^{4} \cdot 743^{2}$ x7 - x6 + x5 + 5x4 - 6x3 + 4x2 + 8x - 8 $\GL(3,2)$ $0$ $-1$
3.9388096.42t37.a.a 3.9388096.42t37.a.b $3$ $ 2^{6} \cdot 383^{2}$ x7 - x6 + 2x5 + 2x4 - 5x3 + 7x2 - 5x + 1 $\GL(3,2)$ $0$ $-1$
3.9732872.42t37.a.a 3.9732872.42t37.a.b $3$ $ 2^{3} \cdot 1103^{2}$ x7 - x6 + 3x5 + 3x4 - 5x3 + 9x2 - 7x + 1 $\GL(3,2)$ $0$ $-1$
3.10163344.42t37.a.a 3.10163344.42t37.a.b $3$ $ 2^{4} \cdot 797^{2}$ x7 - x6 - 2x5 + 8x2 - 4x - 4 $\GL(3,2)$ $0$ $-1$
3.10660225.42t37.a.a 3.10660225.42t37.a.b $3$ $ 5^{2} \cdot 653^{2}$ x7 - 3x6 + 3x5 + 6x4 - 17x3 + 6x2 + 16x - 8 $\GL(3,2)$ $0$ $-1$
3.11385992.42t37.a.a 3.11385992.42t37.a.b $3$ $ 2^{3} \cdot 1193^{2}$ x7 - x6 - 3x5 + 11x4 - x3 - 7x2 + x + 1 $\GL(3,2)$ $0$ $-1$
3.12241352.42t37.a.a 3.12241352.42t37.a.b $3$ $ 2^{3} \cdot 1237^{2}$ x7 + 2x5 - 12x4 + 10x3 - 14x2 + 10x - 2 $\GL(3,2)$ $0$ $-1$
3.12759184.42t37.a.a 3.12759184.42t37.a.b $3$ $ 2^{4} \cdot 19^{2} \cdot 47^{2}$ x7 - 12x5 + 31x3 - 14x2 - 8x + 4 $\GL(3,2)$ $0$ $3$
3.14047504.42t37.a.a 3.14047504.42t37.a.b $3$ $ 2^{4} \cdot 937^{2}$ x7 - x6 + 3x5 - 5x4 + 5x3 + 7x2 - x - 1 $\GL(3,2)$ $0$ $-1$
3.14120579.42t37.a.a 3.14120579.42t37.a.b $3$ $ 11^{3} \cdot 103^{2}$ x7 - x6 + 2x5 - x4 - 14x3 - x2 - 23x - 24 $\GL(3,2)$ $0$ $-1$
3.14462809.42t37.a.a 3.14462809.42t37.a.b $3$ $ 3803^{2}$ x7 - 3x6 + 3x5 + 3x4 - 13x3 + 17x2 - 10x + 1 $\GL(3,2)$ $0$ $-1$
3.14707225.42t37.a.a 3.14707225.42t37.a.b $3$ $ 5^{2} \cdot 13^{2} \cdot 59^{2}$ x7 - 3x6 - x5 + 5x4 - 2x3 - 5x2 + 17x - 7 $\GL(3,2)$ $0$ $-1$
3.14784025.42t37.a.a 3.14784025.42t37.a.b $3$ $ 5^{2} \cdot 769^{2}$ x7 - x6 + x5 - 2x3 + 5x2 - 2x - 1 $\GL(3,2)$ $0$ $-1$
3.15864289.42t37.a.a 3.15864289.42t37.a.b $3$ $ 7^{2} \cdot 569^{2}$ x7 - x6 + x5 - 4x4 + 4x3 - 5x2 + 2x + 1 $\GL(3,2)$ $0$ $-1$
3.16128256.42t37.a.a 3.16128256.42t37.a.b $3$ $ 2^{8} \cdot 251^{2}$ x7 - 3x6 + x5 + 3x4 - 2x3 + 2x2 - 2x - 2 $\GL(3,2)$ $0$ $-1$
3.17280649.42t37.a.a 3.17280649.42t37.a.b $3$ $ 4157^{2}$ x7 - x6 - 4x5 + x4 + 8x3 + x2 - 4x - 1 $\GL(3,2)$ $0$ $-1$
3.17606416.42t37.a.a 3.17606416.42t37.a.b $3$ $ 2^{4} \cdot 1049^{2}$ x7 - 3x6 + x5 + 3x4 - 4x3 + 4x2 - 4 $\GL(3,2)$ $0$ $-1$
3.19456921.42t37.a.a 3.19456921.42t37.a.b $3$ $ 11^{2} \cdot 401^{2}$ x7 - 3x6 + 5x4 - 2x3 - 2x2 + 4x - 1 $\GL(3,2)$ $0$ $-1$
3.19527561.42t37.a.a 3.19527561.42t37.a.b $3$ $ 3^{4} \cdot 491^{2}$ x7 - 2x6 + 3x4 - 3x3 + 3x2 - 4x - 1 $\GL(3,2)$ $0$ $-1$
3.19669225.42t37.a.a 3.19669225.42t37.a.b $3$ $ 5^{2} \cdot 887^{2}$ x7 - x6 - x5 - 15x4 - 11x2 + x + 1 $\GL(3,2)$ $0$ $-1$
3.21595592.42t37.a.a 3.21595592.42t37.a.b $3$ $ 2^{3} \cdot 31^{2} \cdot 53^{2}$ x7 - 2x6 - 2x5 + 4x4 - 2x2 + 4x - 2 $\GL(3,2)$ $0$ $-1$
3.23785129.42t37.a.a 3.23785129.42t37.a.b $3$ $ 4877^{2}$ x7 - 3x6 + 5x5 - 3x4 + 2x2 - 5x + 1 $\GL(3,2)$ $0$ $-1$
3.24026312.42t37.a.a 3.24026312.42t37.a.b $3$ $ 2^{3} \cdot 1733^{2}$ x7 - 4x5 - 2x4 - 4x3 - 8x2 - 4x - 4 $\GL(3,2)$ $0$ $-1$
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