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Results (displaying all 28 matches)

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
6.2e6_7e2_73e2.7t6.1c1 $6$ $ 2^{6} \cdot 7^{2} \cdot 73^{2}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $2$
6.2e6_3e8_11e2.7t6.1c1 $6$ $ 2^{6} \cdot 3^{8} \cdot 11^{2}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $2$
6.2e6_3e6_7e4.7t6.1c1 $6$ $ 2^{6} \cdot 3^{6} \cdot 7^{4}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $2$
6.149e2_211e2.7t6.1c1 $6$ $ 149^{2} \cdot 211^{2}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $6$
10.2e9_3e14_7e8.70.1c1 10.2e9_3e14_7e8.70.1c2 $10$ $ 2^{9} \cdot 3^{14} \cdot 7^{8}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $0$ $-2$
10.2e9_3e18_11e6.70.1c1 10.2e9_3e18_11e6.70.1c2 $10$ $ 2^{9} \cdot 3^{18} \cdot 11^{6}$ x7 - 2x6 + 2x + 2 $A_7$ $0$ $-2$
10.2e9_7e6_73e6.70.1c1 10.2e9_7e6_73e6.70.1c2 $10$ $ 2^{9} \cdot 7^{6} \cdot 73^{6}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $0$ $-2$
10.149e6_211e6.70.1c1 10.149e6_211e6.70.1c2 $10$ $ 149^{6} \cdot 211^{6}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $0$ $10$
14.2e12_3e18_7e12.15t47.1c1 $14$ $ 2^{12} \cdot 3^{18} \cdot 7^{12}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $2$
14.2e12_3e18_7e12.21t33.1c1 $14$ $ 2^{12} \cdot 3^{18} \cdot 7^{12}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $2$
14.2e12_3e24_11e8.21t33.1c1 $14$ $ 2^{12} \cdot 3^{24} \cdot 11^{8}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $2$
14.2e12_7e6_73e8.21t33.1c1 $14$ $ 2^{12} \cdot 7^{6} \cdot 73^{8}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $2$
14.2e12_7e6_73e10.15t47.1c1 $14$ $ 2^{12} \cdot 7^{6} \cdot 73^{10}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $2$
14.2e12_3e28_11e10.15t47.1c1 $14$ $ 2^{12} \cdot 3^{28} \cdot 11^{10}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $2$
14.149e8_211e8.21t33.1c1 $14$ $ 149^{8} \cdot 211^{8}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $14$
14.149e10_211e10.15t47.1c1 $14$ $ 149^{10} \cdot 211^{10}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $14$
15.2e12_3e20_7e12.42t294.1c1 $15$ $ 2^{12} \cdot 3^{20} \cdot 7^{12}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $-1$
15.2e12_3e26_11e8.42t294.1c1 $15$ $ 2^{12} \cdot 3^{26} \cdot 11^{8}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $-1$
15.2e12_7e8_73e8.42t294.1c1 $15$ $ 2^{12} \cdot 7^{8} \cdot 73^{8}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $-1$
15.149e8_211e8.42t294.1c1 $15$ $ 149^{8} \cdot 211^{8}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $15$
21.2e18_3e30_7e16.42t299.1c1 $21$ $ 2^{18} \cdot 3^{30} \cdot 7^{16}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $1$
21.2e18_3e44_11e16.42t299.1c1 $21$ $ 2^{18} \cdot 3^{44} \cdot 11^{16}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $1$
21.2e18_7e10_73e16.42t299.1c1 $21$ $ 2^{18} \cdot 7^{10} \cdot 73^{16}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $1$
21.149e16_211e16.42t299.1c1 $21$ $ 149^{16} \cdot 211^{16}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $21$
35.2e30_3e50_7e28.70.1c1 $35$ $ 2^{30} \cdot 3^{50} \cdot 7^{28}$ x7 - 3x6 + 3x5 + 3x4 - 9x3 + 3x2 + x - 3 $A_7$ $1$ $-1$
35.2e30_3e68_11e24.70.1c1 $35$ $ 2^{30} \cdot 3^{68} \cdot 11^{24}$ x7 - 2x6 + 2x + 2 $A_7$ $1$ $-1$
35.2e30_7e18_73e24.70.1c1 $35$ $ 2^{30} \cdot 7^{18} \cdot 73^{24}$ x7 - 2x6 + 2x4 - 2x3 - 2x2 + 2x + 2 $A_7$ $1$ $-1$
35.149e24_211e24.70.1c1 $35$ $ 149^{24} \cdot 211^{24}$ x7 - 2x6 - 7x5 + 11x4 + 16x3 - 14x2 - 11x + 2 $A_7$ $1$ $35$