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 489 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	$\chi(c)$
10.105...625.30t164.a.a	$10$	$ 3^{16} \cdot 5^{12}$	$2$	6.2.20503125.2	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.105...625.30t164.b.a	$10$	$ 3^{16} \cdot 5^{12}$	$2$	6.2.20503125.2	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.115...776.30t164.a.a	$10$	$ 2^{28} \cdot 3^{16}$	$2$	6.2.13436928.5	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.125...136.30t164.b.a	$10$	$ 2^{12} \cdot 3^{12} \cdot 7^{8}$	$3$	6.0.12446784.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.139...000.30t164.a.a	$10$	$ 2^{8} \cdot 3^{20} \cdot 5^{6}$	$3$	6.2.4723920.2	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.141...528.70.a.a 10.141...528.70.a.b	$10$	$ 2^{9} \cdot 3^{14} \cdot 7^{8}$	$3$	7.3.112021056.1	$A_7$	$A_7$	70	$0$	$-2$
10.146...904.30t164.a.a	$10$	$ 2^{22} \cdot 3^{20}$	$2$	6.2.7558272.2	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.158...001.30t164.a.a	$10$	$ 3^{6} \cdot 167^{6}$	$2$	6.0.83667.1	$S_6$	$S_6$	$S_6$	$1$	$2$
10.163...000.30t164.a.a	$10$	$ 2^{26} \cdot 5^{12}$	$2$	6.2.6400000.4	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.167...824.30t164.a.a	$10$	$ 2^{6} \cdot 3^{12} \cdot 149^{4}$	$3$	6.2.193104.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.168...409.30t88.a.a	$10$	$ 3^{20} \cdot 13^{6}$	$2$	6.2.1108809.1	$A_6$	$A_6$	$A_6$	$1$	$-2$
10.201...201.30t88.b.a	$10$	$ 3^{20} \cdot 7^{8}$	$2$	6.2.15752961.1	$A_6$	$A_6$	$A_6$	$1$	$-2$
10.237...336.30t88.a.a	$10$	$ 2^{18} \cdot 67^{6}$	$2$	6.2.287296.1	$A_6$	$A_6$	$A_6$	$1$	$-2$
10.240...481.30t164.a.a	$10$	$ 3^{12} \cdot 461^{4}$	$2$	6.2.336069.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.281...329.30t164.a.a	$10$	$ 3^{14} \cdot 277^{4}$	$2$	6.2.201933.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.303...625.30t164.a.a	$10$	$ 5^{4} \cdot 191^{6}$	$2$	6.2.182405.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.311...584.30t164.a.a	$10$	$ 2^{18} \cdot 587^{4}$	$2$	6.2.37568.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.333...329.30t164.c.a	$10$	$ 3^{14} \cdot 17^{8}$	$2$	6.0.20295603.1	$S_6$	$S_6$	$S_6$	$1$	$2$
10.333...329.30t164.d.a	$10$	$ 3^{14} \cdot 17^{8}$	$2$	6.0.20295603.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.350...336.30t164.a.a	$10$	$ 2^{6} \cdot 3^{4} \cdot 17^{6} \cdot 23^{4}$	$4$	6.2.319056.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.414...256.30t164.a.a	$10$	$ 2^{24} \cdot 223^{4}$	$2$	6.2.228352.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.470...321.30t164.a.a	$10$	$ 14731^{4}$	$1$	6.0.14731.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.544...000.30t164.c.a	$10$	$ 2^{18} \cdot 3^{12} \cdot 5^{8}$	$3$	6.2.648000.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.544...000.30t164.d.a	$10$	$ 2^{18} \cdot 3^{12} \cdot 5^{8}$	$3$	6.2.648000.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.584...616.30t164.a.a	$10$	$ 2^{24} \cdot 3^{20}$	$2$	6.4.60466176.3	$S_6$	$S_6$	$S_6$	$1$	$2$
10.584...616.30t164.c.a	$10$	$ 2^{24} \cdot 3^{20}$	$2$	6.2.30233088.8	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.584...616.30t164.d.a	$10$	$ 2^{24} \cdot 3^{20}$	$2$	6.2.30233088.8	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.584...616.30t164.i.a	$10$	$ 2^{24} \cdot 3^{20}$	$2$	6.2.3359232.3	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.584...616.30t164.j.a	$10$	$ 2^{24} \cdot 3^{20}$	$2$	6.2.3359232.3	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.584...616.30t164.l.a	$10$	$ 2^{24} \cdot 3^{20}$	$2$	6.2.20155392.4	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.601...424.30t164.a.a	$10$	$ 2^{26} \cdot 173^{4}$	$2$	6.2.354304.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.605...664.30t164.a.a	$10$	$ 2^{18} \cdot 11^{6} \cdot 19^{4}$	$3$	6.0.147136.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.620...336.30t164.a.a	$10$	$ 2^{12} \cdot 1973^{4}$	$2$	6.2.126272.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.640...000.30t164.a.a	$10$	$ 2^{6} \cdot 3^{8} \cdot 5^{16}$	$3$	6.2.25312500.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.640...000.30t164.b.a	$10$	$ 2^{6} \cdot 3^{8} \cdot 5^{16}$	$3$	6.2.25312500.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.655...000.30t164.a.a	$10$	$ 2^{28} \cdot 5^{12}$	$2$	6.2.6400000.4	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.665...216.30t164.a.a	$10$	$ 2^{24} \cdot 251^{4}$	$2$	6.2.257024.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.705...664.30t164.b.a	$10$	$ 2^{24} \cdot 3^{6} \cdot 7^{8}$	$3$	6.2.3687936.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.750...616.30t164.a.a	$10$	$ 2^{12} \cdot 2069^{4}$	$2$	6.2.132416.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.759...944.30t164.a.a	$10$	$ 2^{6} \cdot 5869^{4}$	$2$	6.2.93904.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.768...864.30t164.a.a	$10$	$ 2^{12} \cdot 163^{6}$	$2$	6.2.212552.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.798...744.30t164.a.a	$10$	$ 2^{18} \cdot 743^{4}$	$2$	6.0.47552.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.819...169.30t88.a.a	$10$	$ 13^{6} \cdot 19^{8}$	$2$	6.2.22024249.1	$A_6$	$A_6$	$A_6$	$1$	$-2$
10.829...000.30t164.b.a	$10$	$ 2^{22} \cdot 3^{4} \cdot 5^{12}$	$3$	6.2.10800000.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.904...944.30t164.a.a	$10$	$ 2^{6} \cdot 6131^{4}$	$2$	6.0.98096.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.945...416.30t88.b.a	$10$	$ 2^{12} \cdot 3^{14} \cdot 13^{6}$	$3$	6.2.1971216.1	$A_6$	$A_6$	$A_6$	$1$	$-2$
10.955...344.30t164.a.a	$10$	$ 2^{12} \cdot 3^{14} \cdot 47^{4}$	$3$	6.2.274104.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.963...000.30t164.a.a	$10$	$ 2^{12} \cdot 5^{6} \cdot 197^{4}$	$3$	6.2.315200.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.971...896.30t164.a.a	$10$	$ 2^{12} \cdot 2207^{4}$	$2$	6.0.141248.1	$S_6$	$S_6$	$S_6$	$1$	$-2$
10.101...064.30t164.a.a	$10$	$ 2^{6} \cdot 11^{6} \cdot 173^{4}$	$3$	6.2.334928.2	$S_6$	$S_6$	$S_6$	$1$	$-2$

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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.