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Smallest permutation Ramified Unramified primes Ramified prime count Frobenius-Schur
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Results (1-50 of 502 matches)

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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
8.777924000000.24t2893.a.a $8$ $ 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 7^{4}$ 9.1.7623655200000.1 $S_3\wr S_3$ $1$ $0$
8.941480149401.24t2893.a.a $8$ $ 3^{12} \cdot 11^{6}$ 9.1.31068844930233.1 $S_3\wr S_3$ $1$ $0$
8.108...000.24t2893.a.a $8$ $ 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 17^{4}$ 9.1.156411447120.1 $S_3\wr S_3$ $1$ $0$
8.125...536.24t2893.a.a $8$ $ 2^{18} \cdot 3^{14}$ 9.1.58773123072.1 $S_3\wr S_3$ $1$ $0$
8.136...000.24t2893.a.a $8$ $ 2^{12} \cdot 3^{12} \cdot 5^{4}$ 9.1.314928000000.1 $S_3\wr S_3$ $1$ $0$
8.147...144.24t2893.a.a $8$ $ 2^{8} \cdot 3^{6} \cdot 53^{4}$ 9.3.1378800577112832.1 $S_3\wr S_3$ $1$ $0$
8.158...944.24t2893.a.a $8$ $ 2^{12} \cdot 3^{18}$ 9.1.167365651248.1 $S_3\wr S_3$ $1$ $0$
8.158...944.24t2893.b.a $8$ $ 2^{12} \cdot 3^{18}$ 9.1.10711401679872.1 $S_3\wr S_3$ $1$ $0$
8.158...944.24t2893.c.a $8$ $ 2^{12} \cdot 3^{18}$ 9.1.251048476872.1 $S_3\wr S_3$ $1$ $0$
8.170...000.24t2893.a.a $8$ $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 11^{4}$ 9.1.430489323000000.1 $S_3\wr S_3$ $1$ $0$
8.185...136.24t2893.a.a $8$ $ 2^{20} \cdot 11^{6}$ 9.1.1319329792.1 $S_3\wr S_3$ $1$ $0$
8.199...000.24t2893.a.a $8$ $ 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4}$ 9.1.7203000000.1 $S_3\wr S_3$ $1$ $0$
8.230...976.24t2893.a.a $8$ $ 2^{16} \cdot 7^{4} \cdot 11^{4}$ 9.1.5877014528.1 $S_3\wr S_3$ $1$ $0$
8.231...625.24t2893.a.a $8$ $ 5^{6} \cdot 23^{6}$ 9.1.874503125.1 $S_3\wr S_3$ $1$ $0$
8.237...625.24t2893.a.a $8$ $ 3^{4} \cdot 5^{6} \cdot 37^{4}$ 9.1.649449497278125.1 $S_3\wr S_3$ $1$ $0$
8.245...000.24t2893.a.a $8$ $ 2^{16} \cdot 5^{6} \cdot 7^{4}$ 9.1.1505907200000.1 $S_3\wr S_3$ $1$ $0$
8.248...744.24t2893.a.a $8$ $ 2^{14} \cdot 3^{4} \cdot 37^{4}$ 9.1.17734300939008.1 $S_3\wr S_3$ $1$ $0$
8.276...144.24t2893.a.a $8$ $ 2^{18} \cdot 3^{4} \cdot 19^{4}$ 9.1.20811592286208.1 $S_3\wr S_3$ $1$ $0$
8.333...000.24t2893.a.a $8$ $ 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{4}$ 9.3.4691658348000000.1 $S_3\wr S_3$ $1$ $0$
8.354...264.24t2893.a.a $8$ $ 2^{12} \cdot 3^{10} \cdot 11^{4}$ 9.1.3967389600768.2 $S_3\wr S_3$ $1$ $0$
8.386...000.24t2893.a.a $8$ $ 2^{8} \cdot 5^{4} \cdot 17^{6}$ 9.5.65654187680000.1 $S_3\wr S_3$ $1$ $0$
8.387...000.24t2893.a.a $8$ $ 2^{4} \cdot 3^{18} \cdot 5^{4}$ 9.1.10041939074880.1 $S_3\wr S_3$ $1$ $0$
8.390...081.24t2893.a.a $8$ $ 3^{8} \cdot 29^{6}$ 9.1.134573648589.1 $S_3\wr S_3$ $1$ $0$
8.393...000.24t2893.a.a $8$ $ 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 7^{4}$ 9.1.255197968200000.1 $S_3\wr S_3$ $1$ $0$
8.418...000.24t2893.a.a $8$ $ 2^{4} \cdot 5^{4} \cdot 11^{4} \cdot 13^{4}$ 9.3.314171000000.1 $S_3\wr S_3$ $1$ $0$
8.429...000.24t2893.a.a $8$ $ 2^{20} \cdot 3^{8} \cdot 5^{4}$ 9.5.2720977920000.1 $S_3\wr S_3$ $1$ $0$
8.480...625.24t2893.a.a $8$ $ 3^{10} \cdot 5^{4} \cdot 19^{4}$ 9.1.171482236245.1 $S_3\wr S_3$ $1$ $0$
8.501...144.24t2893.a.a $8$ $ 2^{20} \cdot 3^{14}$ 9.1.793437161472.1 $S_3\wr S_3$ $1$ $0$
8.501...144.24t2893.b.a $8$ $ 2^{20} \cdot 3^{14}$ 9.1.117546246144.1 $S_3\wr S_3$ $1$ $0$
8.522...736.24t2893.a.a $8$ $ 2^{12} \cdot 3^{12} \cdot 7^{4}$ 9.1.2371261713408.1 $S_3\wr S_3$ $1$ $0$
8.544...000.24t2893.a.a $8$ $ 2^{14} \cdot 3^{12} \cdot 5^{4}$ 9.1.63772920000.1 $S_3\wr S_3$ $1$ $0$
8.559...424.24t2893.a.a $8$ $ 2^{12} \cdot 3^{6} \cdot 37^{4}$ 9.1.106405805634048.1 $S_3\wr S_3$ $1$ $0$
8.562...856.24t2893.a.a $8$ $ 2^{16} \cdot 3^{6} \cdot 7^{6}$ 9.1.546463604736.1 $S_3\wr S_3$ $1$ $0$
8.566...000.24t2893.a.a $8$ $ 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 23^{4}$ 9.3.17764306680000.1 $S_3\wr S_3$ $1$ $0$
8.605...625.24t2893.a.a $8$ $ 3^{18} \cdot 5^{6}$ 9.1.2451645281953125.1 $S_3\wr S_3$ $1$ $0$
8.634...776.24t2893.a.a $8$ $ 2^{14} \cdot 3^{18}$ 9.3.2008387814976.2 $S_3\wr S_3$ $1$ $-4$
8.648...656.24t2893.a.a $8$ $ 2^{8} \cdot 3^{4} \cdot 7^{4} \cdot 19^{4}$ 9.1.1655870615532.1 $S_3\wr S_3$ $1$ $0$
8.688...000.24t2893.a.a $8$ $ 2^{8} \cdot 3^{16} \cdot 5^{4}$ 9.1.55099802880.1 $S_3\wr S_3$ $1$ $0$
8.688...000.24t2893.b.a $8$ $ 2^{8} \cdot 3^{16} \cdot 5^{4}$ 9.1.495898225920.3 $S_3\wr S_3$ $1$ $0$
8.724...000.24t2893.a.a $8$ $ 2^{14} \cdot 5^{4} \cdot 29^{4}$ 9.5.48727926456320.1 $S_3\wr S_3$ $1$ $0$
8.752...896.24t2893.a.a $8$ $ 2^{12} \cdot 3^{8} \cdot 23^{4}$ 9.1.69930969676488.1 $S_3\wr S_3$ $1$ $0$
8.891...256.24t2893.a.a $8$ $ 2^{24} \cdot 3^{12}$ 9.1.117546246144.3 $S_3\wr S_3$ $1$ $0$
8.891...256.24t2893.b.a $8$ $ 2^{24} \cdot 3^{12}$ 9.1.104485552128.1 $S_3\wr S_3$ $1$ $0$
8.959...000.24t2893.a.a $8$ $ 2^{20} \cdot 5^{4} \cdot 11^{4}$ 9.1.14992384000.2 $S_3\wr S_3$ $1$ $0$
8.967...000.24t2893.a.a $8$ $ 2^{18} \cdot 3^{10} \cdot 5^{4}$ 9.1.1259712000000.1 $S_3\wr S_3$ $1$ $0$
8.967...000.24t2893.b.a $8$ $ 2^{18} \cdot 3^{10} \cdot 5^{4}$ 9.1.139968000000.1 $S_3\wr S_3$ $1$ $0$
8.967...000.24t2893.c.a $8$ $ 2^{18} \cdot 3^{10} \cdot 5^{4}$ 9.1.170061120000.1 $S_3\wr S_3$ $1$ $0$
8.112...824.24t2893.a.a $8$ $ 2^{18} \cdot 3^{16}$ 9.1.297538935552.1 $S_3\wr S_3$ $1$ $0$
8.113...049.24t2893.a.a $8$ $ 3^{8} \cdot 7^{6} \cdot 11^{4}$ 9.3.130772370834567.1 $S_3\wr S_3$ $1$ $0$
8.113...816.24t2893.a.a $8$ $ 2^{8} \cdot 3^{12} \cdot 17^{4}$ 9.1.30406385320128.2 $S_3\wr S_3$ $1$ $0$
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