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

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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	$\chi(c)$
6.101...093.14t46.a.a	$6$	$ 7741^{5} \cdot 12953^{5}$	$2$	7.7.100269173.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.103...449.14t46.a.a	$6$	$ 23^{5} \cdot 97^{5} \cdot 45119^{5}$	$3$	7.7.100660489.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.104...057.14t46.a.a	$6$	$ 7393^{5} \cdot 13649^{5}$	$2$	7.7.100907057.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.105...801.14t46.a.a	$6$	$ 73^{5} \cdot 1385057^{5}$	$2$	7.7.101109161.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.106...993.14t46.a.a	$6$	$ 101206153^{5}$	$1$	7.7.101206153.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.115...049.14t46.a.a	$6$	$ 13^{5} \cdot 197^{5} \cdot 40169^{5}$	$3$	7.7.102872809.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.127...257.14t46.a.a	$6$	$ 61^{5} \cdot 1109^{5} \cdot 1553^{5}$	$3$	7.7.105058897.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.130...493.14t46.a.a	$6$	$ 105391453^{5}$	$1$	7.7.105391453.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.130...293.14t46.a.a	$6$	$ 19^{5} \cdot 5551927^{5}$	$2$	7.7.105486613.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.130...493.14t46.a.a	$6$	$ 3803^{5} \cdot 27751^{5}$	$2$	7.7.105537053.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.131...593.14t46.a.a	$6$	$ 7^{5} \cdot 15101239^{5}$	$2$	7.7.105708673.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.141...957.14t46.a.a	$6$	$ 3^{5} \cdot 35721479^{5}$	$2$	7.7.107164437.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.144...001.14t46.a.a	$6$	$ 4283^{5} \cdot 25147^{5}$	$2$	7.7.107704601.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.150...193.14t46.a.a	$6$	$ 59^{5} \cdot 1839427^{5}$	$2$	7.7.108526193.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.158...857.14t46.a.a	$6$	$ 109652617^{5}$	$1$	7.7.109652617.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.162...393.14t46.a.a	$6$	$ 19^{5} \cdot 313^{5} \cdot 18539^{5}$	$3$	7.7.110251433.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.167...301.14t46.a.a	$6$	$ 7^{5} \cdot 15845923^{5}$	$2$	7.7.110921461.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.182...493.14t46.a.a	$6$	$ 7^{5} \cdot 103^{5} \cdot 156493^{5}$	$3$	7.7.112831453.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.183...193.14t46.a.a	$6$	$ 2129^{5} \cdot 53017^{5}$	$2$	7.7.112873193.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.186...457.14t46.a.a	$6$	$ 3^{5} \cdot 37756379^{5}$	$2$	7.7.113269137.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.193...749.14t46.a.a	$6$	$ 607^{5} \cdot 187907^{5}$	$2$	7.7.114059549.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.193...593.14t46.a.a	$6$	$ 61^{5} \cdot 211^{5} \cdot 8863^{5}$	$3$	7.7.114075673.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.226...393.14t46.a.a	$6$	$ 23^{5} \cdot 5119871^{5}$	$2$	7.7.117757033.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.226...625.14t46.a.a	$6$	$ 5^{5} \cdot 101^{5} \cdot 263^{5} \cdot 887^{5}$	$4$	7.7.117806905.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.236...757.14t46.a.a	$6$	$ 3181^{5} \cdot 37337^{5}$	$2$	7.7.118768997.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.237...293.14t46.a.a	$6$	$ 8087^{5} \cdot 14699^{5}$	$2$	7.7.118870813.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.237...193.14t46.a.a	$6$	$ 79^{5} \cdot 1504967^{5}$	$2$	7.7.118892393.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.239...801.14t46.a.a	$6$	$ 3^{5} \cdot 23^{5} \cdot 1725869^{5}$	$3$	7.7.119084961.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.241...749.14t46.a.a	$6$	$ 119292949^{5}$	$1$	7.7.119292949.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.244...649.14t46.a.a	$6$	$ 119605529^{5}$	$1$	7.7.119605529.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.249...032.14t46.a.a	$6$	$ 2^{15} \cdot 15009719^{5}$	$2$	7.7.120077752.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.251...293.14t46.a.a	$6$	$ 120299213^{5}$	$1$	7.7.120299213.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.258...249.14t46.a.a	$6$	$ 79^{5} \cdot 1530631^{5}$	$2$	7.7.120919849.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.301...193.14t46.a.a	$6$	$ 124666793^{5}$	$1$	7.7.124666793.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.310...049.14t46.a.a	$6$	$ 125439409^{5}$	$1$	7.7.125439409.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.315...993.14t46.a.a	$6$	$ 11^{5} \cdot 11439523^{5}$	$2$	7.7.125834753.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.318...193.14t46.a.a	$6$	$ 126039593^{5}$	$1$	7.7.126039593.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.319...501.14t46.a.a	$6$	$ 13^{5} \cdot 9701777^{5}$	$2$	7.7.126123101.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.321...749.14t46.a.a	$6$	$ 126284149^{5}$	$1$	7.7.126284149.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.330...249.14t46.a.a	$6$	$ 11^{5} \cdot 11544859^{5}$	$2$	7.7.126993449.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.366...693.14t46.a.a	$6$	$ 31^{5} \cdot 4181603^{5}$	$2$	7.7.129629693.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.366...625.14t46.a.a	$6$	$ 5^{5} \cdot 7^{5} \cdot 3704947^{5}$	$3$	7.7.129673145.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.379...749.14t46.a.a	$6$	$ 6761^{5} \cdot 19309^{5}$	$2$	7.7.130548149.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.381...457.14t46.a.a	$6$	$ 3^{5} \cdot 43^{5} \cdot 1013153^{5}$	$3$	7.7.130696737.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.403...801.14t46.a.a	$6$	$ 59^{5} \cdot 2240779^{5}$	$2$	7.7.132205961.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.437...949.14t46.a.a	$6$	$ 113^{5} \cdot 1188653^{5}$	$2$	7.7.134317789.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.438...193.14t46.a.a	$6$	$ 13^{5} \cdot 83^{5} \cdot 124567^{5}$	$3$	7.7.134407793.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.441...093.14t46.a.a	$6$	$ 151^{5} \cdot 891323^{5}$	$2$	7.7.134589773.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.454...401.14t46.a.a	$6$	$ 2753^{5} \cdot 49177^{5}$	$2$	7.7.135384281.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.463...557.14t46.a.a	$6$	$ 13^{5} \cdot 41^{5} \cdot 254929^{5}$	$3$	7.7.135877157.1	$S_7$	$S_7$	$S_7$	$1$	$6$

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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.