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 342 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	$\chi(c)$
6.38014691.7t4.a.a	$6$	$ 11^{3} \cdot 13^{4}$	$2$	7.1.38014691.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.52706752.7t4.a.a	$6$	$ 2^{6} \cdot 7^{7}$	$2$	7.1.52706752.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.102942875.7t4.a.a	$6$	$ 5^{3} \cdot 7^{7}$	$2$	7.1.102942875.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.110270727.7t4.a.a	$6$	$ 3^{8} \cdot 7^{5}$	$2$	7.1.110270727.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.112021056.7t4.a.a	$6$	$ 2^{6} \cdot 3^{6} \cdot 7^{4}$	$3$	7.1.112021056.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.127353499.7t4.a.a	$6$	$ 7^{3} \cdot 13^{5}$	$2$	7.1.127353499.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.144027072.7t4.a.a	$6$	$ 2^{6} \cdot 3^{8} \cdot 7^{3}$	$3$	7.1.144027072.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.155649627.7t4.a.a	$6$	$ 3^{3} \cdot 7^{8}$	$2$	7.1.155649627.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.157464000.7t4.a.a	$6$	$ 2^{6} \cdot 3^{9} \cdot 5^{3}$	$3$	7.1.157464000.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.232339968.7t4.a.a	$6$	$ 2^{9} \cdot 3^{3} \cdot 7^{5}$	$3$	7.1.232339968.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.307546875.7t4.a.a	$6$	$ 3^{9} \cdot 5^{6}$	$2$	7.1.307546875.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.368947264.7t4.a.a	$6$	$ 2^{6} \cdot 7^{8}$	$2$	7.1.368947264.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.419904000.7t4.a.a	$6$	$ 2^{9} \cdot 3^{8} \cdot 5^{3}$	$3$	7.1.419904000.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.421654016.7t4.a.a	$6$	$ 2^{9} \cdot 7^{7}$	$2$	7.1.421654016.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.432081216.7t4.a.a	$6$	$ 2^{6} \cdot 3^{9} \cdot 7^{3}$	$3$	7.1.432081216.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.518616000.7t4.a.a	$6$	$ 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4}$	$4$	7.1.518616000.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.562166163.7t4.a.a	$6$	$ 3^{9} \cdot 13^{4}$	$2$	7.1.562166163.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.600362847.7t4.a.a	$6$	$ 3^{6} \cdot 7^{7}$	$2$	7.1.600362847.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.626971072.7t4.a.a	$6$	$ 2^{6} \cdot 7^{3} \cdot 13^{4}$	$3$	7.1.626971072.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.641594304.7t4.a.a	$6$	$ 2^{6} \cdot 3^{3} \cdot 13^{5}$	$3$	7.1.641594304.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.784147392.7t4.a.a	$6$	$ 2^{6} \cdot 3^{6} \cdot 7^{5}$	$3$	7.1.784147392.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.851324971.7t4.a.a	$6$	$ 7^{5} \cdot 37^{3}$	$2$	7.1.851324971.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.959570432.7t4.a.a	$6$	$ 2^{9} \cdot 37^{4}$	$2$	7.1.959570432.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1008189504.7t4.a.a	$6$	$ 2^{6} \cdot 3^{8} \cdot 7^{4}$	$3$	7.1.1008189504.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1012921875.7t4.a.a	$6$	$ 3^{3} \cdot 5^{6} \cdot 7^{4}$	$3$	7.1.1012921875.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1042568000.7t4.a.a	$6$	$ 2^{6} \cdot 5^{3} \cdot 19^{4}$	$3$	7.1.1042568000.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1051652187.7t4.a.a	$6$	$ 3^{3} \cdot 79^{4}$	$2$	7.1.1051652187.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1075648000.7t4.a.a	$6$	$ 2^{9} \cdot 5^{3} \cdot 7^{5}$	$3$	7.1.1075648000.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1091586375.7t4.a.a	$6$	$ 3^{8} \cdot 5^{3} \cdot 11^{3}$	$3$	7.1.1091586375.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1183786639.7t4.a.a	$6$	$ 7^{4} \cdot 79^{3}$	$2$	7.1.1183786639.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1259712000.7t4.a.a	$6$	$ 2^{9} \cdot 3^{9} \cdot 5^{3}$	$3$	7.1.1259712000.2	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1289671744.7t4.a.a	$6$	$ 2^{6} \cdot 67^{4}$	$2$	7.1.1289671744.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1332542016.7t4.a.a	$6$	$ 2^{6} \cdot 3^{6} \cdot 13^{4}$	$3$	7.1.1332542016.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1347491619.7t4.a.a	$6$	$ 3^{8} \cdot 59^{3}$	$2$	7.1.1347491619.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1423082304.7t4.a.a	$6$	$ 2^{6} \cdot 3^{3} \cdot 7^{7}$	$3$	7.1.1423082304.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1431687488.7t4.a.a	$6$	$ 2^{6} \cdot 7^{5} \cdot 11^{3}$	$3$	7.1.1431687488.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1805076171.7t4.a.a	$6$	$ 3^{6} \cdot 19^{5}$	$2$	7.1.1805076171.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1809323971.7t4.a.a	$6$	$ 7^{7} \cdot 13^{3}$	$2$	7.1.1809323971.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1869629888.7t4.a.a	$6$	$ 2^{6} \cdot 7^{4} \cdot 23^{3}$	$3$	7.1.1869629888.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.1977326743.7t4.a.a	$6$	$ 7^{11}$	$1$	7.1.1977326743.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.2058557375.7t4.a.a	$6$	$ 5^{3} \cdot 7^{4} \cdot 19^{3}$	$3$	7.1.2058557375.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.2270799427.7t4.a.a	$6$	$ 13^{4} \cdot 43^{3}$	$2$	7.1.2270799427.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.2502175739.7t4.a.a	$6$	$ 7^{5} \cdot 53^{3}$	$2$	7.1.2502175739.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.2623637527.7t4.a.a	$6$	$ 7^{4} \cdot 103^{3}$	$2$	7.1.2623637527.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.2767587264.7t4.a.a	$6$	$ 2^{6} \cdot 3^{9} \cdot 13^{3}$	$3$	7.1.2767587264.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.2860806592.7t4.a.a	$6$	$ 2^{6} \cdot 7^{3} \cdot 19^{4}$	$3$	7.1.2860806592.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.2941328243.7t4.a.a	$6$	$ 7^{4} \cdot 107^{3}$	$2$	7.1.2941328243.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.2951578112.7t4.a.a	$6$	$ 2^{9} \cdot 7^{8}$	$2$	7.1.2951578112.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.3112538751.7t4.a.a	$6$	$ 3^{3} \cdot 7^{5} \cdot 19^{3}$	$3$	7.1.3112538751.1	$F_7$	$F_7$	$F_7$	$1$	$0$
6.3116883375.7t4.a.a	$6$	$ 3^{3} \cdot 5^{3} \cdot 31^{4}$	$3$	7.1.3116883375.1	$F_7$	$F_7$	$F_7$	$1$	$0$

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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.