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 at least 1000)

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
5.14731.6t16.a.a	$5$	$ 14731 $	$1$	6.0.14731.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.20627.6t16.a.a	$5$	$ 20627 $	$1$	6.0.20627.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.22291.6t16.a.a	$5$	$ 22291 $	$1$	6.0.22291.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.25747.6t16.a.a	$5$	$ 25747 $	$1$	6.0.25747.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.27971.6t16.a.a	$5$	$ 83 \cdot 337 $	$2$	6.0.27971.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.29077.6t16.a.a	$5$	$ 29077 $	$1$	6.2.29077.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.29189.6t16.a.a	$5$	$ 17^{2} \cdot 101 $	$2$	6.2.29189.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.30808.6t16.a.a	$5$	$ 2^{3} \cdot 3851 $	$2$	6.0.30808.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.31133.6t16.a.a	$5$	$ 163 \cdot 191 $	$2$	6.2.31133.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.31223.6t16.a.a	$5$	$ 31223 $	$1$	6.0.31223.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.31709.6t16.a.a	$5$	$ 37 \cdot 857 $	$2$	6.2.31709.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.32171.6t16.a.a	$5$	$ 53 \cdot 607 $	$2$	6.0.32171.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.32911.6t16.a.a	$5$	$ 32911 $	$1$	6.0.32911.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.33791.6t16.a.a	$5$	$ 33791 $	$1$	6.0.33791.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.35099.6t16.a.a	$5$	$ 35099 $	$1$	6.0.35099.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.36107.6t16.a.a	$5$	$ 36107 $	$1$	6.0.36107.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.36235.6t16.a.a	$5$	$ 5 \cdot 7247 $	$2$	6.0.36235.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.37253.6t16.a.a	$5$	$ 37253 $	$1$	6.2.37253.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.37423.6t16.a.a	$5$	$ 37423 $	$1$	6.0.37423.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.37463.6t16.a.a	$5$	$ 37463 $	$1$	6.0.37463.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.37568.6t16.a.a	$5$	$ 2^{6} \cdot 587 $	$2$	6.2.37568.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.39269.6t16.a.a	$5$	$ 107 \cdot 367 $	$2$	6.2.39269.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.40277.6t16.a.a	$5$	$ 40277 $	$1$	6.2.40277.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.40543.6t16.a.a	$5$	$ 40543 $	$1$	6.0.40543.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.41069.6t16.a.a	$5$	$ 7 \cdot 5867 $	$2$	6.2.41069.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.42316.6t16.a.a	$5$	$ 2^{2} \cdot 71 \cdot 149 $	$3$	6.0.42316.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.43063.6t16.a.a	$5$	$ 43063 $	$1$	6.0.43063.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.43531.6t16.a.a	$5$	$ 101 \cdot 431 $	$2$	6.0.43531.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.44423.6t16.a.a	$5$	$ 31 \cdot 1433 $	$2$	6.0.44423.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.45203.6t16.a.a	$5$	$ 17 \cdot 2659 $	$2$	6.0.45203.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.45223.6t16.a.a	$5$	$ 41 \cdot 1103 $	$2$	6.0.45223.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.45301.6t16.a.a	$5$	$ 89 \cdot 509 $	$2$	6.2.45301.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.45508.6t16.a.a	$5$	$ 2^{2} \cdot 31 \cdot 367 $	$3$	6.0.45508.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.45872.6t16.a.a	$5$	$ 2^{4} \cdot 47 \cdot 61 $	$3$	6.0.45872.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.46651.6t16.a.a	$5$	$ 11 \cdot 4241 $	$2$	6.0.46651.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.46757.6t16.a.a	$5$	$ 46757 $	$1$	6.2.46757.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.47149.6t16.a.a	$5$	$ 47149 $	$1$	6.2.47149.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.47552.6t16.a.a	$5$	$ 2^{6} \cdot 743 $	$2$	6.0.47552.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.47669.6t16.a.a	$5$	$ 73 \cdot 653 $	$2$	6.2.47669.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.47933.6t16.a.a	$5$	$ 47933 $	$1$	6.2.47933.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.49615.6t16.a.a	$5$	$ 5 \cdot 9923 $	$2$	6.0.49615.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.49781.6t16.a.a	$5$	$ 67 \cdot 743 $	$2$	6.2.49781.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.50173.6t16.a.a	$5$	$ 131 \cdot 383 $	$2$	6.2.50173.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.50587.6t16.a.a	$5$	$ 50587 $	$1$	6.0.50587.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.51757.6t16.a.a	$5$	$ 73 \cdot 709 $	$2$	6.2.51757.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.51869.6t16.a.a	$5$	$ 51869 $	$1$	6.2.51869.1	$S_6$	$S_6$	$S_6$	$1$	$1$
5.52271.6t16.a.a	$5$	$ 167 \cdot 313 $	$2$	6.0.52271.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.52891.6t16.a.a	$5$	$ 227 \cdot 233 $	$2$	6.0.52891.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.54691.6t16.a.a	$5$	$ 7 \cdot 13 \cdot 601 $	$3$	6.0.54691.1	$S_6$	$S_6$	$S_6$	$1$	$-1$
5.55376.6t16.a.a	$5$	$ 2^{4} \cdot 3461 $	$2$	6.2.55376.1	$S_6$	$S_6$	$S_6$	$1$	$1$

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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.