LMFDB - Artin representation search results

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Dimension	Conductor	Group	Root number	Parity

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Results (1-50 of 462 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	$\chi(c)$
2.2304.8t5.a.a	$2$	$ 2^{8} \cdot 3^{2}$	$2$	8.8.12230590464.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.2304.8t5.b.a	$2$	$ 2^{8} \cdot 3^{2}$	$2$	8.0.12230590464.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.11025.8t5.a.a	$2$	$ 3^{2} \cdot 5^{2} \cdot 7^{2}$	$3$	8.8.1340095640625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.11025.8t5.b.a	$2$	$ 3^{2} \cdot 5^{2} \cdot 7^{2}$	$3$	8.0.1340095640625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.21025.8t5.a.a	$2$	$ 5^{2} \cdot 29^{2}$	$2$	8.8.9294114390625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.30976.8t5.a.a	$2$	$ 2^{8} \cdot 11^{2}$	$2$	8.8.29721861554176.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.30976.8t5.b.a	$2$	$ 2^{8} \cdot 11^{2}$	$2$	8.0.29721861554176.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.42025.8t5.a.a	$2$	$ 5^{2} \cdot 41^{2}$	$2$	8.8.74220378765625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.48841.8t5.a.a	$2$	$ 13^{2} \cdot 17^{2}$	$2$	8.8.116507435287321.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.53361.8t5.a.a	$2$	$ 3^{2} \cdot 7^{2} \cdot 11^{2}$	$3$	8.8.151939915084881.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.53361.8t5.b.a	$2$	$ 3^{2} \cdot 7^{2} \cdot 11^{2}$	$3$	8.0.151939915084881.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.57600.8t5.a.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 5^{2}$	$3$	8.8.47775744000000.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.57600.8t5.b.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 5^{2}$	$3$	8.0.47775744000000.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.57600.8t5.c.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 5^{2}$	$3$	8.8.47775744000000.3	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.57600.8t5.d.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 5^{2}$	$3$	8.0.47775744000000.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.57600.8t5.e.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 5^{2}$	$3$	8.8.7644119040000.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.57600.8t5.f.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 5^{2}$	$3$	8.0.7644119040000.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.73984.8t5.a.a	$2$	$ 2^{8} \cdot 17^{2}$	$2$	8.8.101240302206976.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.73984.8t5.b.a	$2$	$ 2^{8} \cdot 17^{2}$	$2$	8.0.101240302206976.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.92416.8t5.a.a	$2$	$ 2^{8} \cdot 19^{2}$	$2$	8.8.789298907447296.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.92416.8t5.b.a	$2$	$ 2^{8} \cdot 19^{2}$	$2$	8.0.789298907447296.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.93025.8t5.a.a	$2$	$ 5^{2} \cdot 61^{2}$	$2$	8.0.805005849390625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.112896.8t5.a.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.8.1438916737499136.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.112896.8t5.b.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.8.1438916737499136.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.112896.8t5.c.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.0.1438916737499136.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.112896.8t5.d.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.0.1438916737499136.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.112896.8t5.e.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.8.29365647704064.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.112896.8t5.f.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.0.29365647704064.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.112896.8t5.g.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.8.359729184374784.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.112896.8t5.h.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.0.359729184374784.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.112896.8t5.i.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.8.359729184374784.3	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.112896.8t5.j.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 7^{2}$	$3$	8.0.359729184374784.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.119025.8t5.a.a	$2$	$ 3^{2} \cdot 5^{2} \cdot 23^{2}$	$3$	8.8.1686221298140625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.119025.8t5.b.a	$2$	$ 3^{2} \cdot 5^{2} \cdot 23^{2}$	$3$	8.0.1686221298140625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.127449.8t5.a.a	$2$	$ 3^{2} \cdot 7^{2} \cdot 17^{2}$	$3$	8.8.2070185663499849.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.127449.8t5.b.a	$2$	$ 3^{2} \cdot 7^{2} \cdot 17^{2}$	$3$	8.0.2070185663499849.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.142129.8t5.a.a	$2$	$ 13^{2} \cdot 29^{2}$	$2$	8.0.2871098559212689.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.176400.8t5.a.a	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$	$4$	8.8.343064484000000.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.176400.8t5.b.a	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2}$	$4$	8.0.343064484000000.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.189225.8t5.a.a	$2$	$ 3^{2} \cdot 5^{2} \cdot 29^{2}$	$3$	8.0.752823265640625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.198025.8t5.a.a	$2$	$ 5^{2} \cdot 89^{2}$	$2$	8.0.7765332671265625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.233289.8t5.a.a	$2$	$ 3^{2} \cdot 7^{2} \cdot 23^{2}$	$3$	8.8.12696463968316569.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.233289.8t5.b.a	$2$	$ 3^{2} \cdot 7^{2} \cdot 23^{2}$	$3$	8.0.12696463968316569.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.255025.8t5.a.a	$2$	$ 5^{2} \cdot 101^{2}$	$2$	8.8.16586252353140625.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.278784.8t5.a.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 11^{2}$	$3$	8.8.5416809268248576.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.278784.8t5.b.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 11^{2}$	$3$	8.0.5416809268248576.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.278784.8t5.c.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 11^{2}$	$3$	8.8.5416809268248576.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.278784.8t5.d.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 11^{2}$	$3$	8.0.5416809268248576.2	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$
2.278784.8t5.e.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 11^{2}$	$3$	8.8.21667237072994304.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$2$
2.278784.8t5.f.a	$2$	$ 2^{8} \cdot 3^{2} \cdot 11^{2}$	$3$	8.0.21667237072994304.1	$Q_8$	$C_2^2$	$Q_8$	$-1$	$-2$

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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.