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 129 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	$\chi(c)$
4.75625.8t16.b.a	$4$	$ 5^{4} \cdot 11^{2}$	$2$	8.0.9453125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.160000.8t16.a.a	$4$	$ 2^{8} \cdot 5^{4}$	$2$	8.0.20000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.257049.8t16.b.a	$4$	$ 3^{2} \cdot 13^{4}$	$2$	8.0.564736653.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.600625.8t16.a.a	$4$	$ 5^{4} \cdot 31^{2}$	$2$	8.0.75078125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.1048576.8t16.a.a	$4$	$ 2^{20}$	$1$	8.4.2147483648.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.2560000.8t16.b.a	$4$	$ 2^{12} \cdot 5^{4}$	$2$	8.0.320000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.3150625.8t16.a.a	$4$	$ 5^{4} \cdot 71^{2}$	$2$	8.0.393828125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.6125625.8t16.b.a	$4$	$ 3^{4} \cdot 5^{4} \cdot 11^{2}$	$3$	8.0.765703125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.7311616.8t16.b.a	$4$	$ 2^{8} \cdot 13^{4}$	$2$	8.0.16063620352.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.10725625.8t16.a.a	$4$	$ 5^{4} \cdot 131^{2}$	$2$	8.0.1340703125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.12960000.8t16.c.a	$4$	$ 2^{8} \cdot 3^{4} \cdot 5^{4}$	$3$	8.4.14580000000.3	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.12960000.8t16.d.a	$4$	$ 2^{8} \cdot 3^{4} \cdot 5^{4}$	$3$	8.4.14580000000.4	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.12960000.8t16.f.a	$4$	$ 2^{8} \cdot 3^{4} \cdot 5^{4}$	$3$	8.0.1620000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.14115049.8t16.b.a	$4$	$ 13^{2} \cdot 17^{4}$	$2$	8.4.69347235737.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.14250625.8t16.a.a	$4$	$ 5^{4} \cdot 151^{2}$	$2$	8.0.1781328125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.19360000.8t16.a.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 11^{2}$	$3$	8.0.2420000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.19360000.8t16.b.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 11^{2}$	$3$	8.0.2420000000.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.19360000.8t16.c.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 11^{2}$	$3$	8.0.2420000000.3	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.19360000.8t16.d.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 11^{2}$	$3$	8.0.2420000000.4	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.19360000.8t16.e.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 11^{2}$	$3$	8.0.2420000000.5	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.21381376.8t16.a.a	$4$	$ 2^{8} \cdot 17^{4}$	$2$	8.4.105046700288.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.22800625.8t16.a.a	$4$	$ 5^{4} \cdot 191^{2}$	$2$	8.0.2850078125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.27300625.8t16.a.a	$4$	$ 5^{4} \cdot 11^{2} \cdot 19^{2}$	$3$	8.0.3412578125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.27300625.8t16.b.a	$4$	$ 5^{4} \cdot 11^{2} \cdot 19^{2}$	$3$	8.0.3412578125.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.27300625.8t16.c.a	$4$	$ 5^{4} \cdot 11^{2} \cdot 19^{2}$	$3$	8.4.412921953125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.27300625.8t16.d.a	$4$	$ 5^{4} \cdot 11^{2} \cdot 19^{2}$	$3$	8.4.412921953125.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.27300625.8t16.e.a	$4$	$ 5^{4} \cdot 11^{2} \cdot 19^{2}$	$3$	8.8.412921953125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$4$
4.27300625.8t16.h.a	$4$	$ 5^{4} \cdot 11^{2} \cdot 19^{2}$	$3$	8.0.412921953125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$-4$
4.27825625.8t16.b.a	$4$	$ 5^{4} \cdot 211^{2}$	$2$	8.0.3478203125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.34656769.8t16.a.a	$4$	$ 7^{2} \cdot 29^{4}$	$2$	8.0.845243939141.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.39375625.8t16.b.a	$4$	$ 5^{4} \cdot 251^{2}$	$2$	8.0.4921953125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.40960000.8t16.a.a	$4$	$ 2^{16} \cdot 5^{4}$	$2$	8.4.327680000000.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.40960000.8t16.b.a	$4$	$ 2^{16} \cdot 5^{4}$	$2$	8.0.327680000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.42575625.8t16.a.a	$4$	$ 3^{4} \cdot 5^{4} \cdot 29^{2}$	$3$	8.8.47897578125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$4$
4.42575625.8t16.b.a	$4$	$ 3^{4} \cdot 5^{4} \cdot 29^{2}$	$3$	8.0.47897578125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$-4$
4.45900625.8t16.a.a	$4$	$ 5^{4} \cdot 271^{2}$	$2$	8.0.5737578125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.48650625.8t16.a.a	$4$	$ 3^{4} \cdot 5^{4} \cdot 31^{2}$	$3$	8.0.6081328125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.48650625.8t16.e.a	$4$	$ 3^{4} \cdot 5^{4} \cdot 31^{2}$	$3$	8.4.54731953125.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.48650625.8t16.f.a	$4$	$ 3^{4} \cdot 5^{4} \cdot 31^{2}$	$3$	8.4.54731953125.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.51380224.8t16.a.a	$4$	$ 2^{20} \cdot 7^{2}$	$2$	8.0.105226698752.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.51380224.8t16.b.a	$4$	$ 2^{20} \cdot 7^{2}$	$2$	8.4.105226698752.4	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.51380224.8t16.c.a	$4$	$ 2^{20} \cdot 7^{2}$	$2$	8.4.105226698752.5	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.51380224.8t16.d.a	$4$	$ 2^{20} \cdot 7^{2}$	$2$	8.0.105226698752.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.51380224.8t16.e.a	$4$	$ 2^{20} \cdot 7^{2}$	$2$	8.0.105226698752.3	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.51380224.8t16.h.a	$4$	$ 2^{20} \cdot 7^{2}$	$2$	8.0.105226698752.6	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.57760000.8t16.e.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 19^{2}$	$3$	8.0.7220000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.57760000.8t16.f.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 19^{2}$	$3$	8.0.7220000000.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.57760000.8t16.g.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 19^{2}$	$3$	8.8.115520000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$4$
4.57760000.8t16.h.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 19^{2}$	$3$	8.4.115520000000.2	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$0$
4.57760000.8t16.k.a	$4$	$ 2^{8} \cdot 5^{4} \cdot 19^{2}$	$3$	8.0.115520000000.1	$(C_8:C_2):C_2$	$C_2^2:C_4$	$(C_8:C_2):C_2$	$1$	$-4$

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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.