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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Results (1-50 of 574 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	$\chi(c)$
8.187570506627.18t68.a.a	$8$	$ 3^{13} \cdot 7^{6}$	$2$	9.3.187570506627.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.187570506627.9t19.a.a	$8$	$ 3^{13} \cdot 7^{6}$	$2$	9.3.187570506627.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.204128387072.9t19.a.a	$8$	$ 2^{24} \cdot 23^{3}$	$2$	9.3.204128387072.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.293534171136.9t19.a.a	$8$	$ 2^{27} \cdot 3^{7}$	$2$	9.1.293534171136.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$0$
8.330225942528.18t68.a.a	$8$	$ 2^{24} \cdot 3^{9}$	$2$	9.3.330225942528.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.330225942528.9t19.a.a	$8$	$ 2^{24} \cdot 3^{9}$	$2$	9.3.330225942528.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.417942208512.18t68.a.a	$8$	$ 2^{18} \cdot 3^{13}$	$2$	9.3.417942208512.2	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.417942208512.9t19.a.a	$8$	$ 2^{18} \cdot 3^{13}$	$2$	9.3.417942208512.2	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.419853238272.9t19.a.a	$8$	$ 2^{18} \cdot 3^{6} \cdot 13^{3}$	$3$	9.1.419853238272.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$0$
8.587068342272.9t19.a.a	$8$	$ 2^{28} \cdot 3^{7}$	$2$	9.1.587068342272.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$0$
8.592815428352.18t68.a.a	$8$	$ 2^{8} \cdot 3^{9} \cdot 7^{6}$	$3$	9.3.592815428352.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.592815428352.9t19.a.a	$8$	$ 2^{8} \cdot 3^{9} \cdot 7^{6}$	$3$	9.3.592815428352.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.736586891264.9t19.a.a	$8$	$ 2^{31} \cdot 7^{3}$	$2$	9.1.736586891264.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$0$
8.806215680000.18t68.a.a	$8$	$ 2^{16} \cdot 3^{9} \cdot 5^{4}$	$3$	9.3.806215680000.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.806215680000.9t19.a.a	$8$	$ 2^{16} \cdot 3^{9} \cdot 5^{4}$	$3$	9.3.806215680000.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.832706445312.9t19.a.a	$8$	$ 2^{18} \cdot 3^{3} \cdot 7^{6}$	$3$	9.3.832706445312.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.909193450176.18t68.a.a	$8$	$ 2^{6} \cdot 3^{6} \cdot 11^{7}$	$3$	9.3.909193450176.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.909193450176.9t19.a.a	$8$	$ 2^{6} \cdot 3^{6} \cdot 11^{7}$	$3$	9.3.909193450176.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.926004075723.18t68.a.a	$8$	$ 3^{9} \cdot 19^{6}$	$2$	9.3.926004075723.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.926004075723.9t19.a.a	$8$	$ 3^{9} \cdot 19^{6}$	$2$	9.3.926004075723.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.940369969152.18t68.a.a	$8$	$ 2^{16} \cdot 3^{15}$	$2$	9.3.940369969152.4	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.940369969152.9t19.a.a	$8$	$ 2^{16} \cdot 3^{15}$	$2$	9.3.940369969152.4	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.105...848.18t68.a.a	$8$	$ 2^{12} \cdot 3^{7} \cdot 7^{6}$	$3$	9.3.1053894094848.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.105...848.9t19.a.a	$8$	$ 2^{12} \cdot 3^{7} \cdot 7^{6}$	$3$	9.3.1053894094848.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.114...000.9t19.a.a	$8$	$ 2^{22} \cdot 3^{7} \cdot 5^{3}$	$3$	9.3.1146617856000.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.131...328.9t19.a.a	$8$	$ 2^{28} \cdot 17^{3}$	$2$	9.3.1318823395328.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.139...747.9t19.a.a	$8$	$ 3^{3} \cdot 61^{6}$	$2$	9.3.1391050107747.2	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.156...392.9t19.a.a	$8$	$ 2^{31} \cdot 3^{6}$	$2$	9.3.1565515579392.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.174...744.9t19.a.a	$8$	$ 2^{16} \cdot 3^{7} \cdot 23^{3}$	$3$	9.1.1743862431744.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$0$
8.194...347.18t68.a.a	$8$	$ 3^{7} \cdot 31^{6}$	$2$	9.3.1940970550347.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.194...347.9t19.a.a	$8$	$ 3^{7} \cdot 31^{6}$	$2$	9.3.1940970550347.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.234...088.18t68.a.a	$8$	$ 2^{30} \cdot 3^{7}$	$2$	9.1.587068342272.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$0$
8.264...224.9t19.a.a	$8$	$ 2^{27} \cdot 3^{9}$	$2$	9.1.2641807540224.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$0$
8.272...528.9t19.a.a	$8$	$ 2^{6} \cdot 3^{7} \cdot 11^{7}$	$3$	9.3.2727580350528.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.309...288.18t68.a.a	$8$	$ 2^{16} \cdot 3^{9} \cdot 7^{4}$	$3$	9.3.3097158156288.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.309...288.9t19.a.a	$8$	$ 2^{16} \cdot 3^{9} \cdot 7^{4}$	$3$	9.3.3097158156288.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.359...000.9t19.a.a	$8$	$ 2^{24} \cdot 5^{4} \cdot 7^{3}$	$3$	9.3.3596615680000.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.388...000.9t19.a.a	$8$	$ 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 11^{3}$	$4$	9.3.3881196000000.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.396...768.9t19.a.a	$8$	$ 2^{10} \cdot 3^{7} \cdot 11^{6}$	$3$	9.1.3967389600768.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$0$
8.419...000.9t19.a.a	$8$	$ 2^{28} \cdot 5^{6}$	$2$	9.3.4194304000000.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.469...176.18t68.a.a	$8$	$ 2^{31} \cdot 3^{7}$	$2$	9.1.293534171136.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$0$
8.469...176.9t19.a.a	$8$	$ 2^{31} \cdot 3^{7}$	$2$	9.3.4696546738176.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.515...384.9t19.a.a	$8$	$ 2^{16} \cdot 3^{10} \cdot 11^{3}$	$3$	9.3.5150750736384.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.515...384.9t19.b.a	$8$	$ 2^{16} \cdot 3^{10} \cdot 11^{3}$	$3$	9.3.5150750736384.2	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.530...000.9t19.a.a	$8$	$ 2^{22} \cdot 3^{4} \cdot 5^{6}$	$3$	9.3.5308416000000.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.626...568.18t68.a.a	$8$	$ 2^{33} \cdot 3^{6}$	$2$	9.3.1565515579392.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.697...976.9t19.a.a	$8$	$ 2^{18} \cdot 3^{7} \cdot 23^{3}$	$3$	9.1.6975449726976.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$0$
8.734...643.18t68.a.a	$8$	$ 3^{7} \cdot 7^{6} \cdot 13^{4}$	$3$	9.3.7348698545643.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$
8.734...643.9t19.a.a	$8$	$ 3^{7} \cdot 7^{6} \cdot 13^{4}$	$3$	9.3.7348698545643.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$(C_3^2:C_8):C_2$	$1$	$2$
8.749...808.18t68.a.a	$8$	$ 2^{18} \cdot 3^{5} \cdot 7^{6}$	$3$	9.3.832706445312.1	$(C_3^2:C_8):C_2$	$F_9:C_2$	$F_9:C_2$	$1$	$-2$

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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.