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	$\chi(c)$
15.197...696.42t294.a.a	$15$	$ 2^{12} \cdot 3^{20} \cdot 7^{12}$	$3$	7.3.112021056.1	$A_7$	$A_7$	$A_7$	$1$	$-1$
15.621...512.42t412.a.a	$15$	$ 2^{41} \cdot 3^{24}$	$2$	7.1.13436928.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.223...504.42t294.a.a	$15$	$ 2^{12} \cdot 3^{26} \cdot 11^{8}$	$3$	7.3.50808384.1	$A_7$	$A_7$	$A_7$	$1$	$-1$
15.353...416.42t412.a.a	$15$	$ 2^{34} \cdot 3^{30}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.496...096.42t411.a.a	$15$	$ 2^{44} \cdot 3^{24}$	$2$	7.1.13436928.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.530...624.42t412.a.a	$15$	$ 2^{33} \cdot 3^{31}$	$2$	7.1.90699264.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.745...144.42t412.a.a	$15$	$ 2^{43} \cdot 3^{25}$	$2$	7.1.161243136.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.141...664.42t411.a.a	$15$	$ 2^{36} \cdot 3^{30}$	$2$	7.1.90699264.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.190...576.42t294.a.a	$15$	$ 2^{12} \cdot 7^{8} \cdot 73^{8}$	$3$	7.3.16711744.1	$A_7$	$A_7$	$A_7$	$1$	$-1$
15.198...384.42t411.a.a	$15$	$ 2^{46} \cdot 3^{24}$	$2$	7.1.161243136.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.382...079.42t412.a.a	$15$	$ 13^{8} \cdot 17^{5} \cdot 127^{5}$	$3$	7.1.364871.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.469...623.42t412.a.a	$15$	$ 7^{5} \cdot 29^{8} \cdot 89^{5}$	$3$	7.1.523943.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.565...656.42t411.a.a	$15$	$ 2^{38} \cdot 3^{30}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$3$
15.848...984.42t412.a.a	$15$	$ 2^{37} \cdot 3^{31}$	$2$	7.1.90699264.2	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.114...431.42t412.a.a	$15$	$ 11^{8} \cdot 3511^{5}$	$2$	7.1.424831.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.133...504.240.a.a 15.133...504.240.a.b 15.133...504.240.a.c 15.133...504.240.a.d 15.133...504.240.a.e 15.133...504.240.a.f 15.133...504.240.a.g 15.133...504.240.a.h	$15$	$ 2^{30} \cdot 137^{8}$	$2$	17.1.133249137678121328919445504.1	$\PSL(2,16)$	$\PSL(2,16)$	240	$1$	$-1$
15.136...375.42t412.a.a	$15$	$ 5^{8} \cdot 37^{5} \cdot 347^{5}$	$3$	7.1.320975.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.214...807.42t412.a.a	$15$	$ 184607^{5}$	$1$	7.1.184607.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.226...624.42t411.a.a	$15$	$ 2^{40} \cdot 3^{30}$	$2$	7.1.1451188224.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.226...624.42t412.a.a	$15$	$ 2^{40} \cdot 3^{30}$	$2$	7.1.60466176.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.270...407.42t412.a.a	$15$	$ 193327^{5}$	$1$	7.1.193327.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.272...807.42t412.a.a	$15$	$ 193607^{5}$	$1$	7.1.193607.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.290...407.42t412.a.a	$15$	$ 29^{5} \cdot 6763^{5}$	$2$	7.1.196127.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.316...799.42t412.a.a	$15$	$ 199559^{5}$	$1$	7.1.199559.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.331...551.42t412.a.a	$15$	$ 7^{8} \cdot 8951^{5}$	$2$	7.1.438599.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.333...351.42t412.a.a	$15$	$ 17^{5} \cdot 11863^{5}$	$2$	7.1.201671.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.340...351.42t412.a.a	$15$	$ 202471^{5}$	$1$	7.1.202471.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.388...551.42t412.a.a	$15$	$ 11^{5} \cdot 41^{5} \cdot 461^{5}$	$3$	7.1.207911.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.426...151.42t412.a.a	$15$	$ 19^{5} \cdot 11149^{5}$	$2$	7.1.211831.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.455...807.42t412.a.a	$15$	$ 214607^{5}$	$1$	7.1.214607.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.572...007.42t412.a.a	$15$	$ 277^{5} \cdot 811^{5}$	$2$	7.1.224647.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.606...207.42t412.a.a	$15$	$ 167^{5} \cdot 1361^{5}$	$2$	7.1.227287.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.686...288.42t412.a.a	$15$	$ 2^{24} \cdot 8363^{5}$	$2$	7.1.535232.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.759...751.42t412.a.a	$15$	$ 23^{5} \cdot 10337^{5}$	$2$	7.1.237751.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.791...447.42t412.a.a	$15$	$ 3^{16} \cdot 7127^{5}$	$2$	7.1.577287.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.832...507.42t412.a.a	$15$	$ 242147^{5}$	$1$	7.1.242147.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.836...847.42t412.a.a	$15$	$ 3^{16} \cdot 7207^{5}$	$2$	7.1.583767.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.846...851.42t412.a.a	$15$	$ 242971^{5}$	$1$	7.1.242971.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.861...144.240.a.a 15.861...144.240.a.b 15.861...144.240.a.c 15.861...144.240.a.d 15.861...144.240.a.e 15.861...144.240.a.f 15.861...144.240.a.g 15.861...144.240.a.h	$15$	$ 2^{30} \cdot 173^{8}$	$2$	17.1.861526607800060221948166144.1	$\PSL(2,16)$	$\PSL(2,16)$	240	$1$	$-1$
15.904...343.42t412.a.a	$15$	$ 7^{8} \cdot 31^{5} \cdot 353^{5}$	$3$	7.1.536207.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.905...496.42t411.a.a	$15$	$ 2^{42} \cdot 3^{30}$	$2$	7.1.241864704.1	$S_7$	$S_7$	$S_7$	$1$	$3$
15.905...496.42t412.a.a	$15$	$ 2^{42} \cdot 3^{30}$	$2$	7.1.241864704.2	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.983...607.42t412.a.a	$15$	$ 13^{5} \cdot 19259^{5}$	$2$	7.1.250367.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.101...351.42t412.a.a	$15$	$ 83^{5} \cdot 3037^{5}$	$2$	7.1.252071.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.123...351.42t412.a.a	$15$	$ 307^{5} \cdot 853^{5}$	$2$	7.1.261871.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.136...507.42t412.a.a	$15$	$ 101^{5} \cdot 2647^{5}$	$2$	7.1.267347.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.145...807.42t412.a.a	$15$	$ 461^{5} \cdot 587^{5}$	$2$	7.1.270607.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.150...351.42t412.a.a	$15$	$ 7^{5} \cdot 38953^{5}$	$2$	7.1.272671.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.182...343.42t412.a.a	$15$	$ 61^{5} \cdot 4643^{5}$	$2$	7.1.283223.1	$S_7$	$S_7$	$S_7$	$1$	$-3$
15.193...551.42t412.a.a	$15$	$ 286711^{5}$	$1$	7.1.286711.1	$S_7$	$S_7$	$S_7$	$1$	$-3$

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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.