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Galois conjugate representations are grouped into single lines.
Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
---|---|---|---|---|---|---|
6.1602531.8t47.a.a | $6$ | $ 3^{3} \cdot 7 \cdot 61 \cdot 139 $ | 8.0.4807593.1 | $S_4\wr C_2$ | $1$ | $0$ |
6.1639105.7t7.a.a | $6$ | $ 5 \cdot 13 \cdot 151 \cdot 167 $ | 7.3.1639105.1 | $S_7$ | $1$ | $2$ |
6.6202855.7t7.a.a | $6$ | $ 5 \cdot 53 \cdot 89 \cdot 263 $ | 7.5.6202855.1 | $S_7$ | $1$ | $4$ |
6.6507200.9t31.a.a | $6$ | $ 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 83 $ | 9.1.911008000.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.7209664.9t31.a.a | $6$ | $ 2^{6} \cdot 7^{2} \cdot 11^{2} \cdot 19 $ | 9.1.317225216.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.7604215.7t7.a.a | $6$ | $ 5 \cdot 59 \cdot 149 \cdot 173 $ | 7.5.7604215.1 | $S_7$ | $1$ | $4$ |
6.8768704.9t31.a.a | $6$ | $ 2^{6} \cdot 7 \cdot 23^{2} \cdot 37 $ | 9.1.201680192.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.8784935.7t7.a.a | $6$ | $ 5 \cdot 19^{2} \cdot 31 \cdot 157 $ | 7.5.8784935.1 | $S_7$ | $1$ | $4$ |
6.10087976.7t7.a.a | $6$ | $ 2^{3} \cdot 37 \cdot 173 \cdot 197 $ | 7.5.10087976.1 | $S_7$ | $1$ | $4$ |
6.10125351.7t7.a.a | $6$ | $ 3^{3} \cdot 47 \cdot 79 \cdot 101 $ | 7.5.10125351.1 | $S_7$ | $1$ | $4$ |
6.10245312.9t31.a.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 11^{2}$ | 9.1.2366667072.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.11451319.7t7.a.a | $6$ | $ 11^{2} \cdot 17 \cdot 19 \cdot 293 $ | 7.5.11451319.1 | $S_7$ | $1$ | $4$ |
6.15704832.9t31.a.a | $6$ | $ 2^{8} \cdot 3 \cdot 11^{2} \cdot 13^{2}$ | 9.1.17966327808.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.17188416.8t47.a.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 7^{3} \cdot 29 $ | 8.2.481275648.1 | $S_4\wr C_2$ | $1$ | $0$ |
6.17716941.8t47.a.a | $6$ | $ 3^{3} \cdot 11^{3} \cdot 17 \cdot 29 $ | 8.4.584659053.1 | $S_4\wr C_2$ | $1$ | $2$ |
6.21240000.9t31.a.a | $6$ | $ 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 59 $ | 9.1.6372000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.23727600.9t31.a.a | $6$ | $ 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3}$ | 9.1.18507528000.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.23905728.9t31.a.a | $6$ | $ 2^{6} \cdot 3^{2} \cdot 7^{3} \cdot 11^{2}$ | 9.1.5522223168.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.24196800.9t31.a.a | $6$ | $ 2^{6} \cdot 3 \cdot 5^{2} \cdot 71^{2}$ | 9.1.34359456000.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.26427072.9t31.a.a | $6$ | $ 2^{6} \cdot 3 \cdot 7^{2} \cdot 53^{2}$ | 9.1.39217774848.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.29719872.9t31.a.a | $6$ | $ 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 13 $ | 9.5.22468223232.1 | $S_3\wr S_3$ | $1$ | $2$ |
6.38937600.9t31.a.a | $6$ | $ 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2}$ | 9.1.30371328000.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.39291483.9t31.a.a | $6$ | $ 3 \cdot 7^{2} \cdot 11^{2} \cdot 47^{2}$ | 9.1.142195876977.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.40303872.8t47.a.a | $6$ | $ 2^{8} \cdot 3^{3} \cdot 7^{3} \cdot 17 $ | 8.2.846381312.1 | $S_4\wr C_2$ | $1$ | $0$ |
6.40981248.8t41.a.a | $6$ | $ 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 11^{2}$ | 8.0.122943744.2 | $V_4^2:(S_3\times C_2)$ | $1$ | $0$ |
6.41160000.18t319.a.a | $6$ | $ 2^{6} \cdot 3 \cdot 5^{4} \cdot 7^{3}$ | 9.1.7203000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.41160000.9t31.a.a | $6$ | $ 2^{6} \cdot 3 \cdot 5^{4} \cdot 7^{3}$ | 9.1.7203000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.41166027.8t47.a.a | $6$ | $ 3^{2} \cdot 7^{2} \cdot 17^{3} \cdot 19 $ | 8.2.699822459.1 | $S_4\wr C_2$ | $1$ | $0$ |
6.44791488.18t311.a.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 23^{2}$ | 9.1.1030204224.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.44791488.9t31.a.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 23^{2}$ | 9.1.1030204224.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.44791488.9t31.b.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 23^{2}$ | 9.1.86537154816.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.59032512.9t31.a.a | $6$ | $ 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{4}$ | 9.1.28571735808.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.59261760.8t47.a.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 5 \cdot 19^{3}$ | 8.2.4503893760.1 | $S_4\wr C_2$ | $1$ | $0$ |
6.59270400.12t161.a.a | $6$ | $ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3}$ | 8.4.1244678400.2 | $(A_4\wr C_2):C_2$ | $1$ | $-2$ |
6.59270400.8t45.a.a | $6$ | $ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3}$ | 8.4.1244678400.2 | $(A_4\wr C_2):C_2$ | $1$ | $2$ |
6.59583168.9t31.a.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 29^{2} \cdot 41 $ | 9.1.5183735616.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.62424000.8t41.b.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 17^{2}$ | 8.0.936360000.1 | $V_4^2:(S_3\times C_2)$ | $1$ | $0$ |
6.72619200.9t31.a.a | $6$ | $ 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 41^{2}$ | 9.1.35728646400.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.73926000.9t18.a.a | $6$ | $ 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 37^{2}$ | 9.3.10941048000.1 | $C_3^2 : D_{6} $ | $1$ | $0$ |
6.74360000.9t31.a.a | $6$ | $ 2^{6} \cdot 5^{4} \cdot 11 \cdot 13^{2}$ | 9.3.96668000000.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.78766128.9t18.a.a | $6$ | $ 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 61^{2}$ | 9.3.134532546624.1 | $C_3^2 : D_{6} $ | $1$ | $0$ |
6.79397476.7t7.a.a | $6$ | $ 2^{2} \cdot 29 \cdot 47 \cdot 14563 $ | 7.7.79397476.1 | $S_7$ | $1$ | $6$ |
6.83232000.8t45.a.a | $6$ | $ 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 17^{2}$ | 8.4.416160000.1 | $(A_4\wr C_2):C_2$ | $1$ | $2$ |
6.86052096.8t47.a.a | $6$ | $ 2^{8} \cdot 3^{2} \cdot 13^{3} \cdot 17 $ | 8.4.1118677248.1 | $S_4\wr C_2$ | $1$ | $2$ |
6.92207808.18t311.a.a | $6$ | $ 2^{6} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2}$ | 9.1.2366667072.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.96703369.7t7.a.a | $6$ | $ 7 \cdot 19 \cdot 271 \cdot 2683 $ | 7.7.96703369.1 | $S_7$ | $1$ | $6$ |
6.97237824.18t319.a.a | $6$ | $ 2^{6} \cdot 3 \cdot 17 \cdot 31^{3}$ | 9.1.3014372544.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.97237824.9t31.a.a | $6$ | $ 2^{6} \cdot 3 \cdot 17 \cdot 31^{3}$ | 9.1.3014372544.1 | $S_3\wr S_3$ | $1$ | $0$ |
6.97880832.8t41.b.a | $6$ | $ 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 17^{2}$ | 8.0.293642496.1 | $V_4^2:(S_3\times C_2)$ | $1$ | $0$ |
6.99878400.9t18.b.a | $6$ | $ 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 17^{2}$ | 9.3.25468992000.1 | $C_3^2 : D_{6} $ | $1$ | $2$ |