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NextGalois conjugate representations are grouped into single lines.
Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
---|---|---|---|---|---|---|
2.2304.8t5.a.a | $2$ | $ 2^{8} \cdot 3^{2}$ | 8.8.12230590464.1 | $Q_8$ | $-1$ | $2$ |
2.2304.8t5.b.a | $2$ | $ 2^{8} \cdot 3^{2}$ | 8.0.12230590464.1 | $Q_8$ | $-1$ | $-2$ |
2.11025.8t5.a.a | $2$ | $ 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.8.1340095640625.1 | $Q_8$ | $-1$ | $2$ |
2.11025.8t5.b.a | $2$ | $ 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.1340095640625.1 | $Q_8$ | $-1$ | $-2$ |
2.21025.8t5.a.a | $2$ | $ 5^{2} \cdot 29^{2}$ | 8.8.9294114390625.1 | $Q_8$ | $-1$ | $2$ |
2.30976.8t5.a.a | $2$ | $ 2^{8} \cdot 11^{2}$ | 8.8.29721861554176.1 | $Q_8$ | $-1$ | $2$ |
2.30976.8t5.b.a | $2$ | $ 2^{8} \cdot 11^{2}$ | 8.0.29721861554176.1 | $Q_8$ | $-1$ | $-2$ |
2.42025.8t5.a.a | $2$ | $ 5^{2} \cdot 41^{2}$ | 8.8.74220378765625.1 | $Q_8$ | $-1$ | $2$ |
2.48841.8t5.a.a | $2$ | $ 13^{2} \cdot 17^{2}$ | 8.8.116507435287321.1 | $Q_8$ | $-1$ | $2$ |
2.53361.8t5.a.a | $2$ | $ 3^{2} \cdot 7^{2} \cdot 11^{2}$ | 8.8.151939915084881.1 | $Q_8$ | $-1$ | $2$ |
2.53361.8t5.b.a | $2$ | $ 3^{2} \cdot 7^{2} \cdot 11^{2}$ | 8.0.151939915084881.1 | $Q_8$ | $-1$ | $-2$ |
2.57600.8t5.a.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2}$ | 8.8.47775744000000.2 | $Q_8$ | $-1$ | $2$ |
2.57600.8t5.b.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2}$ | 8.0.47775744000000.1 | $Q_8$ | $-1$ | $-2$ |
2.57600.8t5.c.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2}$ | 8.8.47775744000000.3 | $Q_8$ | $-1$ | $2$ |
2.57600.8t5.d.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2}$ | 8.0.47775744000000.2 | $Q_8$ | $-1$ | $-2$ |
2.57600.8t5.e.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2}$ | 8.8.7644119040000.1 | $Q_8$ | $-1$ | $2$ |
2.57600.8t5.f.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 5^{2}$ | 8.0.7644119040000.1 | $Q_8$ | $-1$ | $-2$ |
2.73984.8t5.a.a | $2$ | $ 2^{8} \cdot 17^{2}$ | 8.8.101240302206976.2 | $Q_8$ | $-1$ | $2$ |
2.73984.8t5.b.a | $2$ | $ 2^{8} \cdot 17^{2}$ | 8.0.101240302206976.2 | $Q_8$ | $-1$ | $-2$ |
2.92416.8t5.a.a | $2$ | $ 2^{8} \cdot 19^{2}$ | 8.8.789298907447296.1 | $Q_8$ | $-1$ | $2$ |
2.92416.8t5.b.a | $2$ | $ 2^{8} \cdot 19^{2}$ | 8.0.789298907447296.1 | $Q_8$ | $-1$ | $-2$ |
2.93025.8t5.a.a | $2$ | $ 5^{2} \cdot 61^{2}$ | 8.0.805005849390625.1 | $Q_8$ | $-1$ | $-2$ |
2.112896.8t5.a.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.8.1438916737499136.1 | $Q_8$ | $-1$ | $2$ |
2.112896.8t5.b.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.8.1438916737499136.2 | $Q_8$ | $-1$ | $2$ |
2.112896.8t5.c.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.0.1438916737499136.1 | $Q_8$ | $-1$ | $-2$ |
2.112896.8t5.d.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.0.1438916737499136.2 | $Q_8$ | $-1$ | $-2$ |
2.112896.8t5.e.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.8.29365647704064.1 | $Q_8$ | $-1$ | $2$ |
2.112896.8t5.f.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.0.29365647704064.1 | $Q_8$ | $-1$ | $-2$ |
2.112896.8t5.g.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.8.359729184374784.2 | $Q_8$ | $-1$ | $2$ |
2.112896.8t5.h.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.0.359729184374784.1 | $Q_8$ | $-1$ | $-2$ |
2.112896.8t5.i.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.8.359729184374784.3 | $Q_8$ | $-1$ | $2$ |
2.112896.8t5.j.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 7^{2}$ | 8.0.359729184374784.2 | $Q_8$ | $-1$ | $-2$ |
2.119025.8t5.a.a | $2$ | $ 3^{2} \cdot 5^{2} \cdot 23^{2}$ | 8.8.1686221298140625.1 | $Q_8$ | $-1$ | $2$ |
2.119025.8t5.b.a | $2$ | $ 3^{2} \cdot 5^{2} \cdot 23^{2}$ | 8.0.1686221298140625.1 | $Q_8$ | $-1$ | $-2$ |
2.127449.8t5.a.a | $2$ | $ 3^{2} \cdot 7^{2} \cdot 17^{2}$ | 8.8.2070185663499849.1 | $Q_8$ | $-1$ | $2$ |
2.127449.8t5.b.a | $2$ | $ 3^{2} \cdot 7^{2} \cdot 17^{2}$ | 8.0.2070185663499849.1 | $Q_8$ | $-1$ | $-2$ |
2.142129.8t5.a.a | $2$ | $ 13^{2} \cdot 29^{2}$ | 8.0.2871098559212689.1 | $Q_8$ | $-1$ | $-2$ |
2.176400.8t5.a.a | $2$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.8.343064484000000.1 | $Q_8$ | $-1$ | $2$ |
2.176400.8t5.b.a | $2$ | $ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$ | 8.0.343064484000000.1 | $Q_8$ | $-1$ | $-2$ |
2.189225.8t5.a.a | $2$ | $ 3^{2} \cdot 5^{2} \cdot 29^{2}$ | 8.0.752823265640625.1 | $Q_8$ | $-1$ | $-2$ |
2.198025.8t5.a.a | $2$ | $ 5^{2} \cdot 89^{2}$ | 8.0.7765332671265625.1 | $Q_8$ | $-1$ | $-2$ |
2.233289.8t5.a.a | $2$ | $ 3^{2} \cdot 7^{2} \cdot 23^{2}$ | 8.8.12696463968316569.1 | $Q_8$ | $-1$ | $2$ |
2.233289.8t5.b.a | $2$ | $ 3^{2} \cdot 7^{2} \cdot 23^{2}$ | 8.0.12696463968316569.1 | $Q_8$ | $-1$ | $-2$ |
2.255025.8t5.a.a | $2$ | $ 5^{2} \cdot 101^{2}$ | 8.8.16586252353140625.1 | $Q_8$ | $-1$ | $2$ |
2.278784.8t5.a.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 11^{2}$ | 8.8.5416809268248576.1 | $Q_8$ | $-1$ | $2$ |
2.278784.8t5.b.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 11^{2}$ | 8.0.5416809268248576.1 | $Q_8$ | $-1$ | $-2$ |
2.278784.8t5.c.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 11^{2}$ | 8.8.5416809268248576.2 | $Q_8$ | $-1$ | $2$ |
2.278784.8t5.d.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 11^{2}$ | 8.0.5416809268248576.2 | $Q_8$ | $-1$ | $-2$ |
2.278784.8t5.e.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 11^{2}$ | 8.8.21667237072994304.1 | $Q_8$ | $-1$ | $2$ |
2.278784.8t5.f.a | $2$ | $ 2^{8} \cdot 3^{2} \cdot 11^{2}$ | 8.0.21667237072994304.1 | $Q_8$ | $-1$ | $-2$ |