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 647 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	$\chi(c)$
6.725594112.14t46.a.a	$6$	$ 2^{12} \cdot 3^{11}$	$2$	7.1.725594112.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.859963392.14t46.a.a	$6$	$ 2^{17} \cdot 3^{8}$	$2$	7.1.13436928.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.967458816.14t46.a.a	$6$	$ 2^{14} \cdot 3^{10}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$0$
6.967458816.14t46.b.a	$6$	$ 2^{14} \cdot 3^{10}$	$2$	7.1.241864704.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.2579890176.14t46.a.a	$6$	$ 2^{17} \cdot 3^{9}$	$2$	7.1.161243136.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.3869835264.14t46.a.a	$6$	$ 2^{16} \cdot 3^{10}$	$2$	7.1.60466176.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.3869835264.14t46.b.a	$6$	$ 2^{16} \cdot 3^{10}$	$2$	7.1.241864704.2	$S_7$	$S_7$	$S_7$	$1$	$0$
6.5804752896.14t46.a.a	$6$	$ 2^{15} \cdot 3^{11}$	$2$	7.1.1451188224.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.5804752896.14t46.b.a	$6$	$ 2^{15} \cdot 3^{11}$	$2$	7.1.90699264.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.92876046336.14t46.a.a	$6$	$ 2^{19} \cdot 3^{11}$	$2$	7.1.90699264.2	$S_7$	$S_7$	$S_7$	$1$	$0$
6.323...583.14t46.a.a	$6$	$ 23^{5} \cdot 709^{2}$	$2$	7.5.11561663.1	$S_7$	$S_7$	$S_7$	$1$	$-4$
6.137...839.14t46.a.a	$6$	$ 191^{5} \cdot 233^{2}$	$2$	7.5.10369199.1	$S_7$	$S_7$	$S_7$	$1$	$-4$
6.789...463.14t46.a.a	$6$	$ 7^{5} \cdot 29^{2} \cdot 89^{5}$	$3$	7.1.523943.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.179...513.14t46.a.a	$6$	$ 53^{2} \cdot 577^{5}$	$2$	7.3.1620793.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.792...031.14t46.a.a	$6$	$ 13^{2} \cdot 17^{5} \cdot 127^{5}$	$3$	7.1.364871.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.645...671.14t46.a.a	$6$	$ 11^{2} \cdot 3511^{5}$	$2$	7.1.424831.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.160...753.14t46.a.a	$6$	$ 23^{2} \cdot 3137^{5}$	$2$	7.3.1659473.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.148...967.14t46.a.a	$6$	$ 3^{4} \cdot 7127^{5}$	$2$	7.1.577287.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.157...367.14t46.a.a	$6$	$ 3^{4} \cdot 7207^{5}$	$2$	7.1.583767.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.231...159.14t46.a.a	$6$	$ 3^{5} \cdot 53^{2} \cdot 1277^{5}$	$3$	7.5.10761279.1	$S_7$	$S_7$	$S_7$	$1$	$-4$
6.261...752.14t46.a.a	$6$	$ 2^{6} \cdot 8363^{5}$	$2$	7.1.535232.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.281...799.14t46.a.a	$6$	$ 7^{2} \cdot 8951^{5}$	$2$	7.1.438599.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.768...207.14t46.a.a	$6$	$ 7^{2} \cdot 31^{5} \cdot 353^{5}$	$3$	7.1.536207.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.872...975.14t46.a.a	$6$	$ 5^{2} \cdot 37^{5} \cdot 347^{5}$	$3$	7.1.320975.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.110...617.14t46.a.a	$6$	$ 13^{2} \cdot 29^{5} \cdot 317^{5}$	$3$	7.3.1553617.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.127...081.14t46.a.a	$6$	$ 11^{5} \cdot 13^{2} \cdot 859^{5}$	$3$	7.3.1596881.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.658...553.14t46.a.a	$6$	$ 11^{2} \cdot 14033^{5}$	$2$	7.3.1697993.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.154...333.14t46.a.a	$6$	$ 109^{2} \cdot 6653^{5}$	$2$	7.7.79044293.1	$S_7$	$S_7$	$S_7$	$1$	$6$
6.162...111.14t46.a.a	$6$	$ 7^{5} \cdot 17^{2} \cdot 2017^{5}$	$3$	7.5.4080391.1	$S_7$	$S_7$	$S_7$	$1$	$-4$
6.441...049.14t46.a.a	$6$	$ 7^{2} \cdot 73^{5} \cdot 337^{5}$	$3$	7.3.1205449.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.111...257.14t46.a.a	$6$	$ 7^{2} \cdot 29633^{5}$	$2$	7.3.1452017.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.308...375.14t46.a.a	$6$	$ 5^{5} \cdot 19^{2} \cdot 31^{5} \cdot 157^{5}$	$4$	7.5.8784935.1	$S_7$	$S_7$	$S_7$	$1$	$-4$
6.321...759.14t46.a.a	$6$	$ 3^{7} \cdot 17117^{5}$	$2$	7.1.462159.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.477...313.14t46.a.a	$6$	$ 3^{2} \cdot 37^{5} \cdot 2381^{5}$	$3$	7.3.792873.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.171...047.14t46.a.a	$6$	$ 11^{2} \cdot 113^{5} \cdot 599^{5}$	$3$	7.5.8190127.1	$S_7$	$S_7$	$S_7$	$1$	$-4$
6.173...041.14t46.a.a	$6$	$ 3^{2} \cdot 114089^{5}$	$2$	7.3.1026801.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.214...807.14t46.a.a	$6$	$ 184607^{5}$	$1$	7.1.184607.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.270...407.14t46.a.a	$6$	$ 193327^{5}$	$1$	7.1.193327.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.272...807.14t46.a.a	$6$	$ 193607^{5}$	$1$	7.1.193607.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.290...407.14t46.a.a	$6$	$ 29^{5} \cdot 6763^{5}$	$2$	7.1.196127.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.312...513.14t46.a.a	$6$	$ 3^{2} \cdot 128257^{5}$	$2$	7.3.1154313.1	$S_7$	$S_7$	$S_7$	$1$	$2$
6.316...799.14t46.a.a	$6$	$ 199559^{5}$	$1$	7.1.199559.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.333...351.14t46.a.a	$6$	$ 17^{5} \cdot 11863^{5}$	$2$	7.1.201671.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.340...351.14t46.a.a	$6$	$ 202471^{5}$	$1$	7.1.202471.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.388...551.14t46.a.a	$6$	$ 11^{5} \cdot 41^{5} \cdot 461^{5}$	$3$	7.1.207911.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.426...151.14t46.a.a	$6$	$ 19^{5} \cdot 11149^{5}$	$2$	7.1.211831.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.455...807.14t46.a.a	$6$	$ 214607^{5}$	$1$	7.1.214607.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.572...007.14t46.a.a	$6$	$ 277^{5} \cdot 811^{5}$	$2$	7.1.224647.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.606...207.14t46.a.a	$6$	$ 167^{5} \cdot 1361^{5}$	$2$	7.1.227287.1	$S_7$	$S_7$	$S_7$	$1$	$0$
6.759...751.14t46.a.a	$6$	$ 23^{5} \cdot 10337^{5}$	$2$	7.1.237751.1	$S_7$	$S_7$	$S_7$	$1$	$0$

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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.