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Galois conjugate representations are grouped into single lines.
Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
---|---|---|---|---|---|---|
10.695...481.30t164.b.a | $10$ | $ 11^{4} \cdot 41^{6}$ | 6.4.2237411.1 | $S_6$ | $1$ | $-2$ |
10.557...000.30t164.a.a | $10$ | $ 2^{8} \cdot 3^{20} \cdot 5^{4}$ | 6.2.4723920.2 | $S_6$ | $1$ | $-2$ |
10.722...736.30t88.a.a | $10$ | $ 2^{24} \cdot 3^{16}$ | 6.2.1679616.2 | $A_6$ | $1$ | $-2$ |
10.784...696.30t164.b.a | $10$ | $ 2^{8} \cdot 3^{12} \cdot 7^{8}$ | 6.0.12446784.1 | $S_6$ | $1$ | $2$ |
10.171...000.30t164.c.a | $10$ | $ 2^{24} \cdot 3^{8} \cdot 5^{6}$ | 6.2.1036800.1 | $S_6$ | $1$ | $-2$ |
10.171...000.30t164.d.a | $10$ | $ 2^{24} \cdot 3^{8} \cdot 5^{6}$ | 6.2.1036800.1 | $S_6$ | $1$ | $-2$ |
10.175...889.30t164.a.a | $10$ | $ 3^{4} \cdot 167^{6}$ | 6.0.83667.1 | $S_6$ | $1$ | $-2$ |
10.251...169.30t164.a.a | $10$ | $ 17^{6} \cdot 101^{4}$ | 6.2.29189.1 | $S_6$ | $1$ | $-2$ |
10.284...049.30t88.b.a | $10$ | $ 3^{14} \cdot 29^{6}$ | 6.2.613089.1 | $A_6$ | $1$ | $-2$ |
10.288...944.30t164.a.a | $10$ | $ 2^{26} \cdot 3^{16}$ | 6.2.13436928.5 | $S_6$ | $1$ | $-2$ |
10.288...944.30t164.c.a | $10$ | $ 2^{26} \cdot 3^{16}$ | 6.2.497664.1 | $S_6$ | $1$ | $-2$ |
10.365...976.30t164.a.a | $10$ | $ 2^{20} \cdot 3^{20}$ | 6.2.7558272.2 | $S_6$ | $1$ | $-2$ |
10.424...889.30t88.a.a | $10$ | $ 3^{14} \cdot 31^{6}$ | 6.2.700569.1 | $A_6$ | $1$ | $-2$ |
10.432...144.30t164.a.a | $10$ | $ 2^{6} \cdot 47^{4} \cdot 61^{4}$ | 6.0.45872.1 | $S_6$ | $1$ | $-2$ |
10.434...696.30t164.a.a | $10$ | $ 2^{12} \cdot 101^{6}$ | 6.0.81608.1 | $S_6$ | $1$ | $-2$ |
10.624...625.30t164.a.a | $10$ | $ 3^{14} \cdot 5^{6} \cdot 17^{4}$ | 6.2.309825.1 | $S_6$ | $1$ | $-2$ |
10.663...969.30t164.a.a | $10$ | $ 3^{14} \cdot 193^{4}$ | 6.2.140697.1 | $S_6$ | $1$ | $-2$ |
10.783...296.30t164.b.a | $10$ | $ 2^{24} \cdot 3^{4} \cdot 7^{8}$ | 6.2.3687936.1 | $S_6$ | $1$ | $-2$ |
10.830...000.30t164.a.a | $10$ | $ 2^{6} \cdot 3^{12} \cdot 5^{12}$ | 6.2.9112500.1 | $S_6$ | $1$ | $-2$ |
10.830...000.30t164.b.a | $10$ | $ 2^{6} \cdot 3^{12} \cdot 5^{12}$ | 6.2.9112500.1 | $S_6$ | $1$ | $-2$ |
10.841...201.30t164.b.a | $10$ | $ 11^{6} \cdot 41^{6}$ | 6.4.2237411.1 | $S_6$ | $1$ | $2$ |
10.879...625.30t88.a.a | $10$ | $ 3^{14} \cdot 5^{6} \cdot 7^{6}$ | 6.2.22325625.1 | $A_6$ | $1$ | $-2$ |
10.918...224.30t164.a.a | $10$ | $ 2^{6} \cdot 3461^{4}$ | 6.2.55376.1 | $S_6$ | $1$ | $-2$ |
10.922...201.30t164.a.a | $10$ | $ 3^{16} \cdot 11^{8}$ | 6.0.8732691.3 | $S_6$ | $1$ | $2$ |
10.922...201.30t164.b.a | $10$ | $ 3^{16} \cdot 11^{8}$ | 6.0.8732691.3 | $S_6$ | $1$ | $-2$ |
10.100...000.30t164.a.a | $10$ | $ 2^{16} \cdot 5^{16}$ | 6.2.12500000.1 | $S_6$ | $1$ | $-2$ |
10.105...625.30t164.a.a | $10$ | $ 3^{16} \cdot 5^{12}$ | 6.2.20503125.2 | $S_6$ | $1$ | $-2$ |
10.105...625.30t164.b.a | $10$ | $ 3^{16} \cdot 5^{12}$ | 6.2.20503125.2 | $S_6$ | $1$ | $-2$ |
10.115...776.30t164.a.a | $10$ | $ 2^{28} \cdot 3^{16}$ | 6.2.13436928.5 | $S_6$ | $1$ | $-2$ |
10.125...136.30t164.b.a | $10$ | $ 2^{12} \cdot 3^{12} \cdot 7^{8}$ | 6.0.12446784.1 | $S_6$ | $1$ | $-2$ |
10.139...000.30t164.a.a | $10$ | $ 2^{8} \cdot 3^{20} \cdot 5^{6}$ | 6.2.4723920.2 | $S_6$ | $1$ | $-2$ |
10.141...528.70.a.a 10.141...528.70.a.b | $10$ | $ 2^{9} \cdot 3^{14} \cdot 7^{8}$ | 7.3.112021056.1 | $A_7$ | $0$ | $-2$ |
10.146...904.30t164.a.a | $10$ | $ 2^{22} \cdot 3^{20}$ | 6.2.7558272.2 | $S_6$ | $1$ | $-2$ |
10.158...001.30t164.a.a | $10$ | $ 3^{6} \cdot 167^{6}$ | 6.0.83667.1 | $S_6$ | $1$ | $2$ |
10.163...000.30t164.a.a | $10$ | $ 2^{26} \cdot 5^{12}$ | 6.2.6400000.4 | $S_6$ | $1$ | $-2$ |
10.167...824.30t164.a.a | $10$ | $ 2^{6} \cdot 3^{12} \cdot 149^{4}$ | 6.2.193104.1 | $S_6$ | $1$ | $-2$ |
10.168...409.30t88.a.a | $10$ | $ 3^{20} \cdot 13^{6}$ | 6.2.1108809.1 | $A_6$ | $1$ | $-2$ |
10.201...201.30t88.b.a | $10$ | $ 3^{20} \cdot 7^{8}$ | 6.2.15752961.1 | $A_6$ | $1$ | $-2$ |
10.237...336.30t88.a.a | $10$ | $ 2^{18} \cdot 67^{6}$ | 6.2.287296.1 | $A_6$ | $1$ | $-2$ |
10.240...481.30t164.a.a | $10$ | $ 3^{12} \cdot 461^{4}$ | 6.2.336069.1 | $S_6$ | $1$ | $-2$ |
10.281...329.30t164.a.a | $10$ | $ 3^{14} \cdot 277^{4}$ | 6.2.201933.1 | $S_6$ | $1$ | $-2$ |
10.303...625.30t164.a.a | $10$ | $ 5^{4} \cdot 191^{6}$ | 6.2.182405.1 | $S_6$ | $1$ | $-2$ |
10.311...584.30t164.a.a | $10$ | $ 2^{18} \cdot 587^{4}$ | 6.2.37568.1 | $S_6$ | $1$ | $-2$ |
10.333...329.30t164.c.a | $10$ | $ 3^{14} \cdot 17^{8}$ | 6.0.20295603.1 | $S_6$ | $1$ | $2$ |
10.333...329.30t164.d.a | $10$ | $ 3^{14} \cdot 17^{8}$ | 6.0.20295603.1 | $S_6$ | $1$ | $-2$ |
10.350...336.30t164.a.a | $10$ | $ 2^{6} \cdot 3^{4} \cdot 17^{6} \cdot 23^{4}$ | 6.2.319056.1 | $S_6$ | $1$ | $-2$ |
10.414...256.30t164.a.a | $10$ | $ 2^{24} \cdot 223^{4}$ | 6.2.228352.1 | $S_6$ | $1$ | $-2$ |
10.470...321.30t164.a.a | $10$ | $ 14731^{4}$ | 6.0.14731.1 | $S_6$ | $1$ | $-2$ |
10.544...000.30t164.c.a | $10$ | $ 2^{18} \cdot 3^{12} \cdot 5^{8}$ | 6.2.648000.1 | $S_6$ | $1$ | $-2$ |
10.544...000.30t164.d.a | $10$ | $ 2^{18} \cdot 3^{12} \cdot 5^{8}$ | 6.2.648000.1 | $S_6$ | $1$ | $-2$ |