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 2620 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	$\chi(c)$
14.104...449.21t38.a.a	$14$	$ 13^{6} \cdot 17^{4} \cdot 127^{4}$	$3$	7.1.364871.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.682...024.30t565.a.a	$14$	$ 2^{28} \cdot 3^{26}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$0$
14.116...601.21t38.a.a	$14$	$ 184607^{4}$	$1$	7.1.184607.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.128...984.21t38.a.a	$14$	$ 2^{18} \cdot 8363^{4}$	$2$	7.1.535232.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.139...041.21t38.a.a	$14$	$ 193327^{4}$	$1$	7.1.193327.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.140...601.21t38.a.a	$14$	$ 193607^{4}$	$1$	7.1.193607.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.147...641.21t38.a.a	$14$	$ 29^{4} \cdot 6763^{4}$	$2$	7.1.196127.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.158...361.21t38.a.a	$14$	$ 199559^{4}$	$1$	7.1.199559.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.165...081.21t38.a.a	$14$	$ 17^{4} \cdot 11863^{4}$	$2$	7.1.201671.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.168...281.21t38.a.a	$14$	$ 202471^{4}$	$1$	7.1.202471.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.168...649.21t38.a.a	$14$	$ 7^{6} \cdot 31^{4} \cdot 353^{4}$	$3$	7.1.536207.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.186...241.21t38.a.a	$14$	$ 11^{4} \cdot 41^{4} \cdot 461^{4}$	$3$	7.1.207911.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.201...721.21t38.a.a	$14$	$ 19^{4} \cdot 11149^{4}$	$2$	7.1.211831.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.212...601.21t38.a.a	$14$	$ 214607^{4}$	$1$	7.1.214607.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.242...752.30t565.a.a	$14$	$ 2^{33} \cdot 3^{24}$	$2$	7.1.13436928.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.254...881.21t38.a.a	$14$	$ 277^{4} \cdot 811^{4}$	$2$	7.1.224647.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.266...161.21t38.a.a	$14$	$ 167^{4} \cdot 1361^{4}$	$2$	7.1.227287.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.319...001.21t38.a.a	$14$	$ 23^{4} \cdot 10337^{4}$	$2$	7.1.237751.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.343...881.21t38.a.a	$14$	$ 242147^{4}$	$1$	7.1.242147.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.345...184.21t38.a.a	$14$	$ 2^{24} \cdot 3^{30}$	$2$	7.1.90699264.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.348...281.21t38.a.a	$14$	$ 242971^{4}$	$1$	7.1.242971.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.392...721.21t38.a.a	$14$	$ 13^{4} \cdot 19259^{4}$	$2$	7.1.250367.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.403...681.21t38.a.a	$14$	$ 83^{4} \cdot 3037^{4}$	$2$	7.1.252071.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.470...881.21t38.a.a	$14$	$ 307^{4} \cdot 853^{4}$	$2$	7.1.261871.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.510...281.21t38.a.a	$14$	$ 101^{4} \cdot 2647^{4}$	$2$	7.1.267347.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.536...601.21t38.a.a	$14$	$ 461^{4} \cdot 587^{4}$	$2$	7.1.270607.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.552...081.21t38.a.a	$14$	$ 7^{4} \cdot 38953^{4}$	$2$	7.1.272671.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.614...216.21t38.a.a	$14$	$ 2^{28} \cdot 3^{28}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$2$
14.643...441.21t38.a.a	$14$	$ 61^{4} \cdot 4643^{4}$	$2$	7.1.283223.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.675...441.21t38.a.a	$14$	$ 286711^{4}$	$1$	7.1.286711.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.705...721.21t38.a.a	$14$	$ 109^{4} \cdot 2659^{4}$	$2$	7.1.289831.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.707...561.21t38.a.a	$14$	$ 289987^{4}$	$1$	7.1.289987.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.815...441.21t38.a.a	$14$	$ 29^{4} \cdot 43^{4} \cdot 241^{4}$	$3$	7.1.300527.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.921...824.30t565.a.a	$14$	$ 2^{27} \cdot 3^{29}$	$2$	7.1.90699264.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.936...681.21t38.a.a	$14$	$ 277^{4} \cdot 1123^{4}$	$2$	7.1.311071.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.992...921.21t38.a.a	$14$	$ 315631^{4}$	$1$	7.1.315631.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.101...961.21t38.a.a	$14$	$ 317159^{4}$	$1$	7.1.317159.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.104...721.21t38.a.a	$14$	$ 319831^{4}$	$1$	7.1.319831.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.106...625.21t38.a.a	$14$	$ 5^{8} \cdot 37^{4} \cdot 347^{4}$	$3$	7.1.320975.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.109...384.30t565.a.a	$14$	$ 2^{32} \cdot 3^{26}$	$2$	7.1.60466176.2	$S_7$	$S_7$	$S_7$	$1$	$0$
14.119...561.21t38.a.a	$14$	$ 23^{4} \cdot 14369^{4}$	$2$	7.1.330487.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.122...481.21t38.a.a	$14$	$ 332447^{4}$	$1$	7.1.332447.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.125...841.21t38.a.a	$14$	$ 334727^{4}$	$1$	7.1.334727.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.129...344.30t565.a.a	$14$	$ 2^{37} \cdot 3^{23}$	$2$	7.1.161243136.1	$S_7$	$S_7$	$S_7$	$1$	$0$
14.130...361.21t38.a.a	$14$	$ 7^{4} \cdot 48313^{4}$	$2$	7.1.338191.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.149...281.21t38.a.a	$14$	$ 19^{4} \cdot 18413^{4}$	$2$	7.1.349847.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.152...761.21t38.a.a	$14$	$ 351587^{4}$	$1$	7.1.351587.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.152...625.21t38.a.a	$14$	$ 5^{4} \cdot 53^{4} \cdot 1327^{4}$	$3$	7.1.351655.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.189...921.21t38.a.a	$14$	$ 371131^{4}$	$1$	7.1.371131.1	$S_7$	$S_7$	$S_7$	$1$	$2$
14.194...016.21t38.a.a	$14$	$ 2^{36} \cdot 3^{24}$	$2$	7.1.13436928.1	$S_7$	$S_7$	$S_7$	$1$	$2$

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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.