## Results (displaying matches 1-50 of at least 1000) Next

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
3.7e2_19e2.42t37.1c1 3.7e2_19e2.42t37.1c2 $3$ $7^{2} \cdot 19^{2}$ x7 - x6 + x5 + x4 - 3x3 + 5x2 - 2x - 1 $\GL(3,2)$ $0$ $-1$
3.2e3_61e2.42t37.1c1 3.2e3_61e2.42t37.1c2 $3$ $2^{3} \cdot 61^{2}$ x7 - 2x6 - 4x5 + 6x4 + 8x3 - 22x2 + 16x - 2 $\GL(3,2)$ $0$ $-1$
3.2e4_53e2.42t37.1c1 3.2e4_53e2.42t37.1c2 $3$ $2^{4} \cdot 53^{2}$ x7 - 7x5 - 10x4 + 3x3 + 3x + 2 $\GL(3,2)$ $0$ $-1$
3.2e3_3e2_11e3.42t37.1c1 3.2e3_3e2_11e3.42t37.1c2 $3$ $2^{3} \cdot 3^{2} \cdot 11^{3}$ x7 - x6 - 9x5 - x4 + 19x3 + 21x2 - 23x - 13 $\GL(3,2)$ $0$ $-1$
3.3e4_7e4.42t37.1c1 3.3e4_7e4.42t37.1c2 $3$ $3^{4} \cdot 7^{4}$ x7 - 7x4 - 21x3 + 21x2 + 42x - 9 $\GL(3,2)$ $0$ $-1$
3.2e3_3e2_53e2.42t37.1c1 3.2e3_3e2_53e2.42t37.1c2 $3$ $2^{3} \cdot 3^{2} \cdot 53^{2}$ x7 - 2x6 - 4x5 + 10x3 + 4x2 - 10x - 6 $\GL(3,2)$ $0$ $-1$
3.3e2_5e2_11e3.42t37.1c1 3.3e2_5e2_11e3.42t37.1c2 $3$ $3^{2} \cdot 5^{2} \cdot 11^{3}$ x7 - x6 - 9x5 + 21x4 - 3x3 - 23x2 + 10x + 9 $\GL(3,2)$ $0$ $-1$
3.2e8_11e3.42t37.1c1 3.2e8_11e3.42t37.1c2 $3$ $2^{8} \cdot 11^{3}$ x7 - x6 + 2x5 - 12x4 - 14x3 + 10x2 + 10x - 2 $\GL(3,2)$ $0$ $-1$
3.2e4_3e2_7e4.42t37.1c1 3.2e4_3e2_7e4.42t37.1c2 $3$ $2^{4} \cdot 3^{2} \cdot 7^{4}$ x7 - 7x5 + 21x3 - 14x2 - 7x + 4 $\GL(3,2)$ $0$ $-1$
3.2e3_7e2_31e2.42t37.1c1 3.2e3_7e2_31e2.42t37.1c2 $3$ $2^{3} \cdot 7^{2} \cdot 31^{2}$ x7 + 2x5 - 12x3 - 2x2 + 6x - 2 $\GL(3,2)$ $0$ $-1$
3.2e4_5e2_11e3.42t37.1c1 3.2e4_5e2_11e3.42t37.1c2 $3$ $2^{4} \cdot 5^{2} \cdot 11^{3}$ x7 - x6 - 9x5 - x4 + 8x3 - 12x2 - 12x - 2 $\GL(3,2)$ $0$ $-1$
3.2e8_7e4.42t37.1c1 3.2e8_7e4.42t37.1c2 $3$ $2^{8} \cdot 7^{4}$ x7 - 7x5 - 14x4 - 7x3 - 7x + 2 $\GL(3,2)$ $0$ $-1$
3.2e3_317e2.42t37.1c1 3.2e3_317e2.42t37.1c2 $3$ $2^{3} \cdot 317^{2}$ x7 - 2x6 + 2x4 - 2x3 + 2x2 - 2 $\GL(3,2)$ $0$ $-1$
3.11e3_31e2.42t37.1c1 3.11e3_31e2.42t37.1c2 $3$ $11^{3} \cdot 31^{2}$ x7 - 11x5 - 22x4 + 33x2 + 33x + 11 $\GL(3,2)$ $0$ $-1$
3.2e3_443e2.42t37.1c1 3.2e3_443e2.42t37.1c2 $3$ $2^{3} \cdot 443^{2}$ x7 - 3x6 + x5 + 3x4 - x3 + x2 - 3x - 1 $\GL(3,2)$ $0$ $-1$
3.2e3_457e2.42t37.1c1 3.2e3_457e2.42t37.1c2 $3$ $2^{3} \cdot 457^{2}$ x7 - 2x6 + 2x5 + 2x4 - 4x3 + 4x2 - 4 $\GL(3,2)$ $0$ $-1$
3.13e2_109e2.42t37.1c1 3.13e2_109e2.42t37.1c2 $3$ $13^{2} \cdot 109^{2}$ x7 - 2x6 - x5 + 4x4 - 3x2 - x + 1 $\GL(3,2)$ $0$ $-1$
3.2e3_521e2.42t37.1c1 3.2e3_521e2.42t37.1c2 $3$ $2^{3} \cdot 521^{2}$ x7 - 3x6 + 5x5 - 7x4 + 5x3 - 3x2 - x + 1 $\GL(3,2)$ $0$ $-1$
3.3e4_197e2.42t37.1c1 3.3e4_197e2.42t37.1c2 $3$ $3^{4} \cdot 197^{2}$ x7 - 6x5 - 6x4 + 3x3 + 6x2 + 2x - 3 $\GL(3,2)$ $0$ $-1$
3.2e3_5e2_127e2.42t37.1c1 3.2e3_5e2_127e2.42t37.1c2 $3$ $2^{3} \cdot 5^{2} \cdot 127^{2}$ x7 - x6 - 3x5 + 7x4 - 7x3 - x2 + 3x - 1 $\GL(3,2)$ $0$ $-1$
3.2e3_661e2.42t37.1c1 3.2e3_661e2.42t37.1c2 $3$ $2^{3} \cdot 661^{2}$ x7 - x6 + x5 + 3x4 - 5x3 + 7x2 - 5x + 1 $\GL(3,2)$ $0$ $-1$
3.2e4_491e2.42t37.1c1 3.2e4_491e2.42t37.1c2 $3$ $2^{4} \cdot 491^{2}$ x7 - 3x6 + 7x5 - 5x4 + x3 + 7x2 - 3x - 1 $\GL(3,2)$ $0$ $-1$
3.2e3_821e2.42t37.1c1 3.2e3_821e2.42t37.1c2 $3$ $2^{3} \cdot 821^{2}$ x7 - 2x5 - 4x4 + 4x2 - 4x - 2 $\GL(3,2)$ $0$ $-1$
3.2741e2.42t37.1c1 3.2741e2.42t37.1c2 $3$ $2741^{2}$ x7 - x6 - 4x5 + x4 + 4x3 - 3x + 1 $\GL(3,2)$ $0$ $-1$
3.2e3_971e2.42t37.1c1 3.2e3_971e2.42t37.1c2 $3$ $2^{3} \cdot 971^{2}$ x7 - 2x6 - 2x5 + 4x4 - 4x2 + 2x + 2 $\GL(3,2)$ $0$ $-1$
3.2e3_1013e2.42t37.1c1 3.2e3_1013e2.42t37.1c2 $3$ $2^{3} \cdot 1013^{2}$ x7 - 2x6 + 2x5 - 8x4 + 16x3 - 16x2 + 10x - 2 $\GL(3,2)$ $0$ $-1$
3.2e3_3e2_347e2.42t37.1c1 3.2e3_3e2_347e2.42t37.1c2 $3$ $2^{3} \cdot 3^{2} \cdot 347^{2}$ x7 - 3x6 + 3x5 + x4 - 9x3 + 9x2 - 3x + 3 $\GL(3,2)$ $0$ $-1$
3.2e4_743e2.42t37.1c1 3.2e4_743e2.42t37.1c2 $3$ $2^{4} \cdot 743^{2}$ x7 - x6 + x5 + 5x4 - 6x3 + 4x2 + 8x - 8 $\GL(3,2)$ $0$ $-1$
3.2e6_383e2.42t37.1c1 3.2e6_383e2.42t37.1c2 $3$ $2^{6} \cdot 383^{2}$ x7 - x6 + 2x5 + 2x4 - 5x3 + 7x2 - 5x + 1 $\GL(3,2)$ $0$ $-1$
3.2e3_1103e2.42t37.1c1 3.2e3_1103e2.42t37.1c2 $3$ $2^{3} \cdot 1103^{2}$ x7 - x6 + 3x5 + 3x4 - 5x3 + 9x2 - 7x + 1 $\GL(3,2)$ $0$ $-1$
3.2e4_797e2.42t37.1c1 3.2e4_797e2.42t37.1c2 $3$ $2^{4} \cdot 797^{2}$ x7 - x6 - 2x5 + 8x2 - 4x - 4 $\GL(3,2)$ $0$ $-1$
3.5e2_653e2.42t37.1c1 3.5e2_653e2.42t37.1c2 $3$ $5^{2} \cdot 653^{2}$ x7 - 3x6 + 3x5 + 6x4 - 17x3 + 6x2 + 16x - 8 $\GL(3,2)$ $0$ $-1$
3.2e3_1193e2.42t37.1c1 3.2e3_1193e2.42t37.1c2 $3$ $2^{3} \cdot 1193^{2}$ x7 - x6 - 3x5 + 11x4 - x3 - 7x2 + x + 1 $\GL(3,2)$ $0$ $-1$
3.2e3_1237e2.42t37.1c1 3.2e3_1237e2.42t37.1c2 $3$ $2^{3} \cdot 1237^{2}$ x7 + 2x5 - 12x4 + 10x3 - 14x2 + 10x - 2 $\GL(3,2)$ $0$ $-1$
3.2e4_19e2_47e2.42t37.1c1 3.2e4_19e2_47e2.42t37.1c2 $3$ $2^{4} \cdot 19^{2} \cdot 47^{2}$ x7 - 12x5 + 31x3 - 14x2 - 8x + 4 $\GL(3,2)$ $0$ $3$
3.2e4_937e2.42t37.1c1 3.2e4_937e2.42t37.1c2 $3$ $2^{4} \cdot 937^{2}$ x7 - x6 + 3x5 - 5x4 + 5x3 + 7x2 - x - 1 $\GL(3,2)$ $0$ $-1$
3.11e3_103e2.42t37.1c1 3.11e3_103e2.42t37.1c2 $3$ $11^{3} \cdot 103^{2}$ x7 - x6 + 2x5 - x4 - 14x3 - x2 - 23x - 24 $\GL(3,2)$ $0$ $-1$
3.3803e2.42t37.1c1 3.3803e2.42t37.1c2 $3$ $3803^{2}$ x7 - 3x6 + 3x5 + 3x4 - 13x3 + 17x2 - 10x + 1 $\GL(3,2)$ $0$ $-1$
3.5e2_13e2_59e2.42t37.1c1 3.5e2_13e2_59e2.42t37.1c2 $3$ $5^{2} \cdot 13^{2} \cdot 59^{2}$ x7 - 3x6 - x5 + 5x4 - 2x3 - 5x2 + 17x - 7 $\GL(3,2)$ $0$ $-1$
3.5e2_769e2.42t37.1c1 3.5e2_769e2.42t37.1c2 $3$ $5^{2} \cdot 769^{2}$ x7 - x6 + x5 - 2x3 + 5x2 - 2x - 1 $\GL(3,2)$ $0$ $-1$
3.7e2_569e2.42t37.1c1 3.7e2_569e2.42t37.1c2 $3$ $7^{2} \cdot 569^{2}$ x7 - x6 + x5 - 4x4 + 4x3 - 5x2 + 2x + 1 $\GL(3,2)$ $0$ $-1$
3.2e8_251e2.42t37.1c1 3.2e8_251e2.42t37.1c2 $3$ $2^{8} \cdot 251^{2}$ x7 - 3x6 + x5 + 3x4 - 2x3 + 2x2 - 2x - 2 $\GL(3,2)$ $0$ $-1$
3.4157e2.42t37.1c1 3.4157e2.42t37.1c2 $3$ $4157^{2}$ x7 - x6 - 4x5 + x4 + 8x3 + x2 - 4x - 1 $\GL(3,2)$ $0$ $-1$
3.2e4_1049e2.42t37.1c1 3.2e4_1049e2.42t37.1c2 $3$ $2^{4} \cdot 1049^{2}$ x7 - 3x6 + x5 + 3x4 - 4x3 + 4x2 - 4 $\GL(3,2)$ $0$ $-1$
3.11e2_401e2.42t37.1c1 3.11e2_401e2.42t37.1c2 $3$ $11^{2} \cdot 401^{2}$ x7 - 3x6 + 5x4 - 2x3 - 2x2 + 4x - 1 $\GL(3,2)$ $0$ $-1$
3.3e4_491e2.42t37.1c1 3.3e4_491e2.42t37.1c2 $3$ $3^{4} \cdot 491^{2}$ x7 - 2x6 + 3x4 - 3x3 + 3x2 - 4x - 1 $\GL(3,2)$ $0$ $-1$
3.5e2_887e2.42t37.1c1 3.5e2_887e2.42t37.1c2 $3$ $5^{2} \cdot 887^{2}$ x7 - x6 - x5 - 15x4 - 11x2 + x + 1 $\GL(3,2)$ $0$ $-1$
3.2e3_31e2_53e2.42t37.1c1 3.2e3_31e2_53e2.42t37.1c2 $3$ $2^{3} \cdot 31^{2} \cdot 53^{2}$ x7 - 2x6 - 2x5 + 4x4 - 2x2 + 4x - 2 $\GL(3,2)$ $0$ $-1$
3.4877e2.42t37.1c1 3.4877e2.42t37.1c2 $3$ $4877^{2}$ x7 - 3x6 + 5x5 - 3x4 + 2x2 - 5x + 1 $\GL(3,2)$ $0$ $-1$
3.2e3_1733e2.42t37.1c1 3.2e3_1733e2.42t37.1c2 $3$ $2^{3} \cdot 1733^{2}$ x7 - 4x5 - 2x4 - 4x3 - 8x2 - 4x - 4 $\GL(3,2)$ $0$ $-1$
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