LMFDB - Artin representation search results

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Dimension	Conductor	Group	Root number	Parity

Smallest permutation	Ramified	Unramified primes	Ramified prime count	Frobenius-Schur

Projective image	Projective image type

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Results (1-50 of 2783 matches)

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Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
18.107...000.36t1758.a.a	$18$	$2^{24} \cdot 5^{9} \cdot 41^{9}$	$3$	8.4.11027360000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.893...592.36t1758.a.a	$18$	$2^{28} \cdot 3^{22} \cdot 13^{9}$	$3$	8.2.19680620544.4	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.928...504.36t1758.a.a	$18$	$2^{36} \cdot 3^{38}$	$2$	8.0.45349632.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.928...504.36t1758.b.a	$18$	$2^{36} \cdot 3^{38}$	$2$	8.2.11609505792.8	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.169...776.36t1758.a.a	$18$	$2^{24} \cdot 3^{22} \cdot 19^{9}$	$3$	8.0.3840162048.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.192...048.36t1758.a.a	$18$	$2^{64} \cdot 3^{21}$	$2$	8.2.13759414272.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.289...072.36t1758.a.a	$18$	$2^{63} \cdot 3^{22}$	$2$	8.4.9172942848.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.341...000.36t1758.a.a	$18$	$2^{36} \cdot 3^{26} \cdot 5^{9}$	$3$	8.2.116640000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.417...696.36t1758.a.a	$18$	$2^{39} \cdot 97^{9}$	$2$	8.4.239251750912.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.496...256.36t1758.a.a	$18$	$2^{12} \cdot 7^{9} \cdot 113^{9}$	$3$	8.2.4565326108.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.497...000.36t1758.a.a	$18$	$2^{34} \cdot 5^{12} \cdot 17^{9}$	$3$	8.2.13363360000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.971...000.36t1758.a.a	$18$	$2^{28} \cdot 3^{32} \cdot 5^{9}$	$3$	8.2.1049760000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.108...024.36t1758.a.a	$18$	$2^{33} \cdot 7^{9} \cdot 11^{12}$	$3$	8.6.82278203392.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.115...288.36t1758.a.a	$18$	$2^{65} \cdot 3^{22}$	$2$	8.4.587068342272.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.115...288.36t1758.b.a	$18$	$2^{65} \cdot 3^{22}$	$2$	8.4.4586471424.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.115...288.36t1758.c.a	$18$	$2^{65} \cdot 3^{22}$	$2$	8.4.293534171136.7	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.128...759.36t1758.a.a	$18$	$3^{22} \cdot 151^{9}$	$2$	8.0.7529733837.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.128...000.36t1758.a.a	$18$	$2^{28} \cdot 3^{22} \cdot 5^{16}$	$3$	8.2.699840000000.11	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.146...552.36t1758.a.a	$18$	$2^{59} \cdot 3^{26}$	$2$	8.2.764411904.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.148...064.36t1758.a.a	$18$	$2^{40} \cdot 3^{38}$	$2$	8.2.11609505792.9	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.148...064.36t1758.b.a	$18$	$2^{40} \cdot 3^{38}$	$2$	8.2.46438023168.3	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.157...184.36t1758.a.a	$18$	$2^{39} \cdot 17^{15}$	$2$	8.2.3089608832.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.159...128.36t1758.a.a	$18$	$2^{32} \cdot 193^{9}$	$2$	8.2.88799232064.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.165...119.36t1758.a.a	$18$	$43^{9} \cdot 53^{9}$	$2$	8.2.339290683.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.215...000.36t1758.a.a	$18$	$2^{45} \cdot 3^{22} \cdot 5^{9}$	$3$	8.2.11466178560.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.223...896.36t1758.a.a	$18$	$2^{24} \cdot 7^{9} \cdot 53^{9}$	$3$	8.2.14139741952.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.241...528.36t1758.a.a	$18$	$2^{12} \cdot 23^{9} \cdot 41^{9}$	$3$	8.0.77147686244.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.262...000.36t1758.a.a	$18$	$2^{51} \cdot 3^{14} \cdot 5^{12}$	$3$	8.2.119439360000.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.321...000.36t1758.a.a	$18$	$2^{27} \cdot 3^{22} \cdot 5^{17}$	$3$	8.2.27993600000.3	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.327...125.36t1758.a.a	$18$	$3^{14} \cdot 5^{9} \cdot 89^{9}$	$3$	8.4.321201500625.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.376...000.36t1758.a.a	$18$	$2^{18} \cdot 5^{12} \cdot 73^{9}$	$3$	8.2.1135929640000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.417...568.36t1758.a.a	$18$	$2^{51} \cdot 3^{32}$	$2$	8.2.1719926784.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.463...152.36t1758.a.a	$18$	$2^{67} \cdot 3^{22}$	$2$	8.4.587068342272.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.505...984.36t1758.a.a	$18$	$2^{28} \cdot 3^{21} \cdot 23^{9}$	$3$	8.2.618098688.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.508...784.36t1758.a.a	$18$	$2^{36} \cdot 3^{22} \cdot 11^{9}$	$3$	8.4.32788343808.3	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.540...376.36t1758.a.a	$18$	$2^{12} \cdot 3^{22} \cdot 19^{13}$	$3$	8.2.411557366988.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.545...000.36t1758.a.a	$18$	$2^{40} \cdot 3^{26} \cdot 5^{9}$	$3$	8.0.955514880.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.545...000.36t1758.b.a	$18$	$2^{40} \cdot 3^{26} \cdot 5^{9}$	$3$	8.2.1866240000.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.556...424.36t1758.a.a	$18$	$2^{53} \cdot 3^{31}$	$2$	8.2.1934917632.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.556...424.36t1758.b.a	$18$	$2^{53} \cdot 3^{31}$	$2$	8.2.7739670528.2	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.579...179.36t1758.a.a	$18$	$3^{27} \cdot 97^{9}$	$2$	8.2.21512615283.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.586...208.36t1758.a.a	$18$	$2^{61} \cdot 3^{26}$	$2$	8.2.3057647616.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.641...927.36t1758.a.a	$18$	$3^{38} \cdot 7^{15}$	$2$	8.0.2977309629.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.747...000.36t1758.a.a	$18$	$2^{12} \cdot 3^{9} \cdot 5^{12} \cdot 11^{14}$	$4$	8.2.32612827500.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.830...552.36t1758.a.a	$18$	$2^{62} \cdot 23^{9}$	$2$	8.4.25516048384.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$-2$
18.831...000.36t1758.a.a	$18$	$2^{59} \cdot 3^{10} \cdot 5^{12}$	$3$	8.2.5898240000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.835...000.36t1758.a.a	$18$	$2^{16} \cdot 5^{15} \cdot 11^{15}$	$3$	8.2.5324000000.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.934...576.36t1758.a.a	$18$	$2^{39} \cdot 137^{9}$	$2$	8.2.45091246208.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.105...000.36t1758.a.a	$18$	$2^{53} \cdot 3^{14} \cdot 5^{12}$	$3$	8.0.2388787200.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$
18.114...592.36t1758.a.a	$18$	$2^{12} \cdot 3^{14} \cdot 7^{9} \cdot 29^{9}$	$4$	8.2.57748079088.1	$S_4\wr C_2$	$S_4\wr C_2$	$S_4\wr C_2$	$1$	$0$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.