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Galois conjugate representations are grouped into single lines.
Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
---|---|---|---|---|---|---|
4.1000188.5t5.a.a | $4$ | $ 2^{2} \cdot 3^{6} \cdot 7^{3}$ | 5.1.1000188.1 | $S_5$ | $1$ | $0$ |
4.1000188.6t13.b.a | $4$ | $ 2^{2} \cdot 3^{6} \cdot 7^{3}$ | 6.0.7001316.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1000188.12t175.a.a 4.1000188.12t175.a.b | $4$ | $ 2^{2} \cdot 3^{6} \cdot 7^{3}$ | 9.5.15434373116736.1 | $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ | $0$ | $0$ |
4.1001325.6t13.b.a | $4$ | $ 3 \cdot 5^{2} \cdot 13^{2} \cdot 79 $ | 6.2.13017225.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1001952.6t13.a.a | $4$ | $ 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 71 $ | 6.0.7013664.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1001952.6t13.b.a | $4$ | $ 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 71 $ | 6.0.7013664.3 | $C_3^2:D_4$ | $1$ | $0$ |
4.1002001.6t9.a.a | $4$ | $ 7^{2} \cdot 11^{2} \cdot 13^{2}$ | 6.0.7014007.1 | $S_3^2$ | $1$ | $0$ |
4.1002375.6t13.b.a | $4$ | $ 3^{6} \cdot 5^{3} \cdot 11 $ | 6.4.5011875.1 | $C_3^2:D_4$ | $1$ | $2$ |
4.1002413.5t5.a.a | $4$ | $ 61 \cdot 16433 $ | 5.5.1002413.1 | $S_5$ | $1$ | $4$ |
4.1003244.5t5.a.a | $4$ | $ 2^{2} \cdot 11 \cdot 151^{2}$ | 5.3.1003244.1 | $S_5$ | $1$ | $2$ |
4.1003541.5t5.a.a | $4$ | $ 7 \cdot 11 \cdot 13033 $ | 5.5.1003541.1 | $S_5$ | $1$ | $4$ |
4.1003860.6t13.a.a | $4$ | $ 2^{2} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13^{2}$ | 6.0.39150540.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1004368.5t5.a.a | $4$ | $ 2^{4} \cdot 62773 $ | 5.5.1004368.1 | $S_5$ | $1$ | $4$ |
4.1005568.6t13.a.a | $4$ | $ 2^{11} \cdot 491 $ | 6.0.8044544.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1006009.5t4.a.a | $4$ | $ 17^{2} \cdot 59^{2}$ | 5.1.1006009.1 | $A_5$ | $1$ | $0$ |
4.1006192.5t5.a.a | $4$ | $ 2^{4} \cdot 11 \cdot 5717 $ | 5.5.1006192.1 | $S_5$ | $1$ | $4$ |
4.1006656.6t13.b.a | $4$ | $ 2^{6} \cdot 3 \cdot 7^{2} \cdot 107 $ | 6.0.8053248.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1006677.6t13.a.a | $4$ | $ 3^{2} \cdot 7 \cdot 19 \cdot 29^{2}$ | 6.0.3020031.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1006749.6t13.a.a | $4$ | $ 3^{6} \cdot 1381 $ | 6.0.3020247.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1006875.6t13.a.a | $4$ | $ 3^{2} \cdot 5^{4} \cdot 179 $ | 6.4.5034375.1 | $C_3^2:D_4$ | $1$ | $2$ |
4.1006992.6t13.c.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 7 \cdot 37 $ | 6.0.3020976.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1006992.6t13.d.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 7 \cdot 37 $ | 6.0.3020976.2 | $C_3^2:D_4$ | $1$ | $0$ |
4.1007137.5t5.a.a | $4$ | $ 1007137 $ | 5.5.1007137.1 | $S_5$ | $1$ | $4$ |
4.1008005.6t13.a.a | $4$ | $ 5 \cdot 449^{2}$ | 6.2.56125.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1008391.6t13.b.a | $4$ | $ 61^{2} \cdot 271 $ | 6.4.61511851.1 | $C_3^2:D_4$ | $1$ | $2$ |
4.1010000.6t13.a.a | $4$ | $ 2^{4} \cdot 5^{4} \cdot 101 $ | 6.4.5050000.1 | $C_3^2:D_4$ | $1$ | $2$ |
4.1010592.6t13.c.a | $4$ | $ 2^{5} \cdot 3^{2} \cdot 11^{2} \cdot 29 $ | 6.2.33349536.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1010592.6t13.d.a | $4$ | $ 2^{5} \cdot 3^{2} \cdot 11^{2} \cdot 29 $ | 6.2.33349536.2 | $C_3^2:D_4$ | $1$ | $0$ |
4.1010609.5t5.a.a | $4$ | $ 41 \cdot 157^{2}$ | 5.1.1010609.1 | $S_5$ | $1$ | $0$ |
4.1010800.6t13.a.a | $4$ | $ 2^{4} \cdot 5^{2} \cdot 7 \cdot 19^{2}$ | 6.0.19205200.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1012112.6t13.a.a | $4$ | $ 2^{4} \cdot 17 \cdot 61^{2}$ | 6.0.4048448.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1012225.6t13.a.a | $4$ | $ 5^{2} \cdot 19 \cdot 2131 $ | 6.6.5061125.1 | $C_3^2:D_4$ | $1$ | $4$ |
4.1012500.10t12.a.a | $4$ | $ 2^{2} \cdot 3^{4} \cdot 5^{5}$ | 5.1.1012500.1 | $S_5$ | $1$ | $0$ |
4.1012500.5t5.a.a | $4$ | $ 2^{2} \cdot 3^{4} \cdot 5^{5}$ | 5.1.1012500.1 | $S_5$ | $1$ | $0$ |
4.1013613.5t5.a.a | $4$ | $ 3 \cdot 337871 $ | 5.5.1013613.1 | $S_5$ | $1$ | $4$ |
4.1014300.6t13.b.a | $4$ | $ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 $ | 6.0.7100100.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1015497.6t13.a.a | $4$ | $ 3^{6} \cdot 7 \cdot 199 $ | 6.0.3046491.1 | $C_3^2:D_4$ | $1$ | $0$ |
4.1015537.5t5.a.a | $4$ | $ 107 \cdot 9491 $ | 5.5.1015537.1 | $S_5$ | $1$ | $4$ |
4.1015569.5t5.a.a | $4$ | $ 3^{2} \cdot 19 \cdot 5939 $ | 5.5.1015569.1 | $S_5$ | $1$ | $4$ |
4.1016064.6t9.a.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 6.0.56899584.1 | $S_3^2$ | $1$ | $0$ |
4.1016064.6t9.b.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 6.2.28449792.1 | $S_3^2$ | $1$ | $0$ |
4.1016064.6t9.c.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 6.2.28449792.2 | $S_3^2$ | $1$ | $0$ |
4.1016064.6t9.d.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 6.0.8128512.1 | $S_3^2$ | $1$ | $0$ |
4.1016064.8t15.a.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 8.2.1344252672.1 | $Z_8 : Z_8^\times$ | $1$ | $0$ |
4.1016064.8t15.c.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 8.0.3584673792.1 | $Z_8 : Z_8^\times$ | $1$ | $0$ |
4.1016064.8t15.e.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 8.0.3584673792.4 | $Z_8 : Z_8^\times$ | $1$ | $0$ |
4.1016064.8t23.a.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 8.2.21508042752.10 | $\textrm{GL(2,3)}$ | $1$ | $0$ |
4.1016064.8t23.b.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 8.2.21508042752.1 | $\textrm{GL(2,3)}$ | $1$ | $0$ |
4.1016064.8t26.a.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 8.0.192036096.1 | $(C_4^2 : C_2):C_2$ | $1$ | $0$ |
4.1016064.8t40.c.a | $4$ | $ 2^{8} \cdot 3^{4} \cdot 7^{2}$ | 8.0.3072577536.1 | $Q_8:S_4$ | $1$ | $0$ |