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Galois conjugate representations are grouped into single lines.
| Label | Dimension | Conductor | Artin stem field | $G$ | Ind | $\chi(c)$ |
|---|---|---|---|---|---|---|
| 4.122825.10t12.b.a | $4$ | $ 5^{2} \cdot 17^{3}$ | 5.1.122825.1 | $S_5$ | $1$ | $0$ |
| 4.162000.10t12.a.a | $4$ | $ 2^{4} \cdot 3^{4} \cdot 5^{3}$ | 5.1.162000.2 | $S_5$ | $1$ | $0$ |
| 4.242000.10t12.a.a | $4$ | $ 2^{4} \cdot 5^{3} \cdot 11^{2}$ | 5.1.242000.1 | $S_5$ | $1$ | $0$ |
| 4.275684.10t12.a.a | $4$ | $ 2^{2} \cdot 41^{3}$ | 5.1.275684.1 | $S_5$ | $1$ | $0$ |
| 4.346112.10t12.a.a | $4$ | $ 2^{11} \cdot 13^{2}$ | 5.3.346112.1 | $S_5$ | $1$ | $-2$ |
| 4.378125.10t12.b.a | $4$ | $ 5^{5} \cdot 11^{2}$ | 5.1.378125.1 | $S_5$ | $1$ | $0$ |
| 4.390224.10t12.a.a | $4$ | $ 2^{4} \cdot 29^{3}$ | 5.1.390224.2 | $S_5$ | $1$ | $0$ |
| 4.435125.10t12.a.a | $4$ | $ 5^{3} \cdot 59^{2}$ | 5.1.435125.1 | $S_5$ | $1$ | $0$ |
| 4.456533.10t12.b.a | $4$ | $ 7^{3} \cdot 11^{3}$ | 5.1.456533.1 | $S_5$ | $1$ | $0$ |
| 4.470448.10t12.b.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 11^{2}$ | 5.3.470448.1 | $S_5$ | $1$ | $-2$ |
| 4.496125.10t12.a.a | $4$ | $ 3^{4} \cdot 5^{3} \cdot 7^{2}$ | 5.1.496125.1 | $S_5$ | $1$ | $0$ |
| 4.506944.10t12.a.a | $4$ | $ 2^{6} \cdot 89^{2}$ | 5.3.31684.1 | $S_5$ | $1$ | $-2$ |
| 4.578000.10t12.b.a | $4$ | $ 2^{4} \cdot 5^{3} \cdot 17^{2}$ | 5.1.578000.1 | $S_5$ | $1$ | $0$ |
| 4.596183.10t12.a.a | $4$ | $ 7^{2} \cdot 23^{3}$ | 5.3.596183.1 | $S_5$ | $1$ | $-2$ |
| 4.612500.10t12.a.a | $4$ | $ 2^{2} \cdot 5^{5} \cdot 7^{2}$ | 5.1.612500.1 | $S_5$ | $1$ | $0$ |
| 4.678976.10t12.a.a | $4$ | $ 2^{6} \cdot 103^{2}$ | 5.3.169744.1 | $S_5$ | $1$ | $-2$ |
| 4.702464.10t12.b.a | $4$ | $ 2^{11} \cdot 7^{3}$ | 5.1.702464.1 | $S_5$ | $1$ | $0$ |
| 4.726192.10t12.b.a | $4$ | $ 2^{4} \cdot 3^{3} \cdot 41^{2}$ | 5.3.80688.1 | $S_5$ | $1$ | $-2$ |
| 4.759375.10t12.b.a | $4$ | $ 3^{5} \cdot 5^{5}$ | 5.3.759375.1 | $S_5$ | $1$ | $-2$ |
| 4.800000.10t12.a.a | $4$ | $ 2^{8} \cdot 5^{5}$ | 5.1.800000.1 | $S_5$ | $1$ | $0$ |
| 4.884547.10t12.a.a | $4$ | $ 3^{3} \cdot 181^{2}$ | 5.3.98283.1 | $S_5$ | $1$ | $-2$ |
| 4.1012500.10t12.a.a | $4$ | $ 2^{2} \cdot 3^{4} \cdot 5^{5}$ | 5.1.1012500.1 | $S_5$ | $1$ | $0$ |
| 4.1030301.10t12.a.a | $4$ | $ 101^{3}$ | 5.1.1030301.2 | $S_5$ | $1$ | $0$ |
| 4.1176125.10t12.a.a | $4$ | $ 5^{3} \cdot 97^{2}$ | 5.1.47045.1 | $S_5$ | $1$ | $0$ |
| 4.1250000.10t12.a.a | $4$ | $ 2^{4} \cdot 5^{7}$ | 5.1.1250000.1 | $S_5$ | $1$ | $0$ |
| 4.1333584.10t12.a.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 7^{3}$ | 5.1.1333584.1 | $S_5$ | $1$ | $0$ |
| 4.1333584.10t12.b.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 7^{3}$ | 5.1.1333584.2 | $S_5$ | $1$ | $0$ |
| 4.1333584.10t12.c.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 7^{3}$ | 5.1.1333584.4 | $S_5$ | $1$ | $0$ |
| 4.1403568.10t12.a.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 19^{2}$ | 5.3.1403568.1 | $S_5$ | $1$ | $-2$ |
| 4.1458000.10t12.a.a | $4$ | $ 2^{4} \cdot 3^{6} \cdot 5^{3}$ | 5.1.1458000.1 | $S_5$ | $1$ | $0$ |
| 4.1458000.10t12.b.a | $4$ | $ 2^{4} \cdot 3^{6} \cdot 5^{3}$ | 5.1.1458000.2 | $S_5$ | $1$ | $0$ |
| 4.1458000.10t12.c.a | $4$ | $ 2^{4} \cdot 3^{6} \cdot 5^{3}$ | 5.1.1458000.3 | $S_5$ | $1$ | $0$ |
| 4.1555200.10t12.a.a | $4$ | $ 2^{8} \cdot 3^{5} \cdot 5^{2}$ | 5.3.1555200.1 | $S_5$ | $1$ | $-2$ |
| 4.1568000.10t12.a.a | $4$ | $ 2^{8} \cdot 5^{3} \cdot 7^{2}$ | 5.1.1568000.1 | $S_5$ | $1$ | $0$ |
| 4.1666737.10t12.b.a | $4$ | $ 3^{5} \cdot 19^{3}$ | 5.1.185193.1 | $S_5$ | $1$ | $0$ |
| 4.1755904.10t12.a.a | $4$ | $ 2^{8} \cdot 19^{3}$ | 5.1.109744.1 | $S_5$ | $1$ | $0$ |
| 4.1778112.10t12.a.a | $4$ | $ 2^{6} \cdot 3^{4} \cdot 7^{3}$ | 5.3.1778112.1 | $S_5$ | $1$ | $-2$ |
| 4.1785375.10t12.a.a | $4$ | $ 3^{3} \cdot 5^{3} \cdot 23^{2}$ | 5.3.71415.1 | $S_5$ | $1$ | $-2$ |
| 4.1847677.10t12.b.a | $4$ | $ 13^{3} \cdot 29^{2}$ | 5.1.10933.1 | $S_5$ | $1$ | $0$ |
| 4.1924803.10t12.a.a | $4$ | $ 3^{5} \cdot 89^{2}$ | 5.3.1924803.1 | $S_5$ | $1$ | $-2$ |
| 4.1982251.10t12.a.a | $4$ | $ 17^{2} \cdot 19^{3}$ | 5.3.1982251.1 | $S_5$ | $1$ | $-2$ |
| 4.1990656.10t12.a.a | $4$ | $ 2^{13} \cdot 3^{5}$ | 5.1.497664.1 | $S_5$ | $1$ | $0$ |
| 4.2056752.10t12.a.a | $4$ | $ 2^{4} \cdot 3^{5} \cdot 23^{2}$ | 5.3.228528.1 | $S_5$ | $1$ | $-2$ |
| 4.2177712.10t12.a.a | $4$ | $ 2^{4} \cdot 3^{3} \cdot 71^{2}$ | 5.3.2177712.2 | $S_5$ | $1$ | $-2$ |
| 4.2278125.10t12.a.a | $4$ | $ 3^{6} \cdot 5^{5}$ | 5.1.2278125.1 | $S_5$ | $1$ | $0$ |
| 4.2299968.10t12.a.a | $4$ | $ 2^{6} \cdot 3^{3} \cdot 11^{3}$ | 5.1.2299968.2 | $S_5$ | $1$ | $0$ |
| 4.2367488.10t12.a.a | $4$ | $ 2^{13} \cdot 17^{2}$ | 5.1.591872.1 | $S_5$ | $1$ | $0$ |
| 4.2370816.10t12.a.a | $4$ | $ 2^{8} \cdot 3^{3} \cdot 7^{3}$ | 5.1.2370816.2 | $S_5$ | $1$ | $0$ |
| 4.2370816.10t12.b.a | $4$ | $ 2^{8} \cdot 3^{3} \cdot 7^{3}$ | 5.1.2370816.3 | $S_5$ | $1$ | $0$ |
| 4.2450000.10t12.a.a | $4$ | $ 2^{4} \cdot 5^{5} \cdot 7^{2}$ | 5.1.2450000.2 | $S_5$ | $1$ | $0$ |