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Galois conjugate representations are grouped into single lines.
Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
---|---|---|---|---|---|---|
4.176400.8t22.b.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.77792400.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.176400.8t22.f.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.25401600.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.230400.8t22.b.a | $4$ | $ 2^{10} \cdot 3^{2} \cdot 5^{2}$ | 8.0.51840000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.435600.8t22.c.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2}$ | 8.0.843321600.5 | $Q_8:C_2^2$ | $1$ | $0$ |
4.435600.8t22.h.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2}$ | 8.0.62726400.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.451584.8t22.f.a | $4$ | $ 2^{10} \cdot 3^{2} \cdot 7^{2}$ | 8.0.199148544.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.608400.8t22.c.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2}$ | 8.0.87609600.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.705600.8t22.f.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.311169600.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.705600.8t22.m.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.406425600.2 | $Q_8:C_2^2$ | $1$ | $0$ |
4.705600.8t22.n.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.1128960000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.705600.8t22.x.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.158760000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.853776.8t22.c.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2}$ | 8.0.122943744.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.921600.8t22.l.a | $4$ | $ 2^{12} \cdot 3^{2} \cdot 5^{2}$ | 8.0.368640000.2 | $Q_8:C_2^2$ | $1$ | $0$ |
4.921600.8t22.m.a | $4$ | $ 2^{12} \cdot 3^{2} \cdot 5^{2}$ | 8.0.368640000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.921600.8t22.r.a | $4$ | $ 2^{12} \cdot 3^{2} \cdot 5^{2}$ | 8.0.132710400.2 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1040400.8t22.e.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2}$ | 8.0.2706080400.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1115136.8t22.c.a | $4$ | $ 2^{10} \cdot 3^{2} \cdot 11^{2}$ | 8.0.642318336.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1192464.8t22.k.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | 8.0.171714816.5 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1192464.8t22.l.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2}$ | 8.0.171714816.6 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1254400.8t22.f.a | $4$ | $ 2^{10} \cdot 5^{2} \cdot 7^{2}$ | 8.0.321126400.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1299600.8t22.e.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2}$ | 8.0.187142400.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1334025.8t22.e.a | $4$ | $ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2}$ | 8.0.588305025.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1587600.8t22.d.a | $4$ | $ 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2}$ | 8.4.5715360000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1587600.8t22.k.a | $4$ | $ 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2}$ | 8.0.700131600.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1742400.8t22.a.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2}$ | 8.0.392040000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1742400.8t22.h.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2}$ | 8.0.1897473600.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1806336.8t22.d.a | $4$ | $ 2^{12} \cdot 3^{2} \cdot 7^{2}$ | 8.0.462422016.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.1863225.8t22.c.a | $4$ | $ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2}$ | 8.4.7872125625.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2039184.8t22.c.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17^{2}$ | 8.0.899280144.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2073600.8t22.a.a | $4$ | $ 2^{10} \cdot 3^{4} \cdot 5^{2}$ | 8.0.466560000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2371600.8t22.c.a | $4$ | $ 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2}$ | 8.0.2905210000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2433600.8t22.d.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2}$ | 8.0.547560000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2433600.8t22.k.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2}$ | 8.4.10281960000.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2433600.8t22.l.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2}$ | 8.4.10281960000.2 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2547216.8t22.b.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{2}$ | 8.0.8275904784.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2822400.8t22.aq.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.8851046400.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2822400.8t22.ar.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.8851046400.2 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2822400.8t22.as.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.8851046400.3 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2822400.8t22.at.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.8851046400.4 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2822400.8t22.au.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.8851046400.5 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2822400.8t22.av.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.8851046400.6 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2822400.8t22.i.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.2212761600.3 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2822400.8t22.j.a | $4$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.2212761600.2 | $Q_8:C_2^2$ | $1$ | $0$ |
4.2944656.8t22.f.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13^{2}$ | 8.0.424030464.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.3326976.8t22.c.a | $4$ | $ 2^{10} \cdot 3^{2} \cdot 19^{2}$ | 8.0.1916338176.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.3415104.8t22.b.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2}$ | 8.0.1967099904.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.3415104.8t22.k.a | $4$ | $ 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2}$ | 8.0.10709766144.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.3459600.8t22.a.a | $4$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31^{2}$ | 8.0.498182400.1 | $Q_8:C_2^2$ | $1$ | $0$ |
4.3625216.8t22.f.a | $4$ | $ 2^{8} \cdot 7^{2} \cdot 17^{2}$ | 8.0.928055296.3 | $Q_8:C_2^2$ | $1$ | $0$ |
4.3625216.8t22.g.a | $4$ | $ 2^{8} \cdot 7^{2} \cdot 17^{2}$ | 8.0.928055296.4 | $Q_8:C_2^2$ | $1$ | $0$ |