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 28870 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	$\chi(c)$
4.1609.5t5.a.a	$4$	$ 1609 $	$1$	5.1.1609.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.1649.5t5.a.a	$4$	$ 17 \cdot 97 $	$2$	5.1.1649.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.1777.5t5.a.a	$4$	$ 1777 $	$1$	5.1.1777.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.2297.5t5.a.a	$4$	$ 2297 $	$1$	5.1.2297.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.2617.5t5.b.a	$4$	$ 2617 $	$1$	5.1.2617.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.2665.5t5.b.a	$4$	$ 5 \cdot 13 \cdot 41 $	$3$	5.1.2665.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.2869.5t5.a.a	$4$	$ 19 \cdot 151 $	$2$	5.1.2869.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.3017.5t5.b.a	$4$	$ 7 \cdot 431 $	$2$	5.1.3017.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.3089.5t5.b.a	$4$	$ 3089 $	$1$	5.1.3089.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.3233.5t5.a.a	$4$	$ 53 \cdot 61 $	$2$	5.1.3233.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.3369.5t5.a.a	$4$	$ 3 \cdot 1123 $	$2$	5.1.3369.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.3857.5t5.a.a	$4$	$ 7 \cdot 19 \cdot 29 $	$3$	5.1.3857.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.3889.5t5.a.a	$4$	$ 3889 $	$1$	5.1.3889.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4169.5t5.a.a	$4$	$ 11 \cdot 379 $	$2$	5.1.4169.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4261.5t5.a.a	$4$	$ 4261 $	$1$	5.1.4261.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4409.5t5.a.a	$4$	$ 4409 $	$1$	5.1.4409.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4417.5t5.b.a	$4$	$ 7 \cdot 631 $	$2$	5.1.4417.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4429.5t5.a.a	$4$	$ 43 \cdot 103 $	$2$	5.1.4429.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4432.5t5.b.a	$4$	$ 2^{4} \cdot 277 $	$2$	5.1.4432.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4477.5t5.a.a	$4$	$ 11^{2} \cdot 37 $	$2$	5.1.4477.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4511.5t5.a.a	$4$	$ 13 \cdot 347 $	$2$	5.3.4511.1	$S_5$	$S_5$	$S_5$	$1$	$2$
4.4549.5t5.b.a	$4$	$ 4549 $	$1$	5.1.4549.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4597.5t5.a.a	$4$	$ 4597 $	$1$	5.1.4597.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4757.5t5.a.a	$4$	$ 67 \cdot 71 $	$2$	5.1.4757.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4817.5t5.a.a	$4$	$ 4817 $	$1$	5.1.4817.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4897.5t5.a.a	$4$	$ 59 \cdot 83 $	$2$	5.1.4897.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.4903.5t5.b.a	$4$	$ 4903 $	$1$	5.3.4903.1	$S_5$	$S_5$	$S_5$	$1$	$2$
4.5025.5t5.a.a	$4$	$ 3 \cdot 5^{2} \cdot 67 $	$3$	5.1.5025.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.5164.5t5.a.a	$4$	$ 2^{2} \cdot 1291 $	$2$	5.1.5164.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.5437.5t5.b.a	$4$	$ 5437 $	$1$	5.1.5437.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.5501.5t5.a.a	$4$	$ 5501 $	$1$	5.1.5501.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.5519.5t5.b.a	$4$	$ 5519 $	$1$	5.3.5519.1	$S_5$	$S_5$	$S_5$	$1$	$2$
4.5584.5t5.a.a	$4$	$ 2^{4} \cdot 349 $	$2$	5.1.5584.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.5653.5t5.a.a	$4$	$ 5653 $	$1$	5.1.5653.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.5753.5t5.a.a	$4$	$ 11 \cdot 523 $	$2$	5.1.5753.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.5783.5t5.a.a	$4$	$ 5783 $	$1$	5.3.5783.1	$S_5$	$S_5$	$S_5$	$1$	$2$
4.5864.5t5.a.a	$4$	$ 2^{3} \cdot 733 $	$2$	5.1.5864.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.5913.5t5.a.a	$4$	$ 3^{4} \cdot 73 $	$2$	5.1.5913.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.6449.5t5.a.a	$4$	$ 6449 $	$1$	5.1.6449.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.6581.5t5.a.a	$4$	$ 6581 $	$1$	5.1.6581.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.6757.5t5.a.a	$4$	$ 29 \cdot 233 $	$2$	5.1.6757.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.6793.5t5.a.a	$4$	$ 6793 $	$1$	5.1.6793.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.7031.5t5.a.a	$4$	$ 79 \cdot 89 $	$2$	5.3.7031.1	$S_5$	$S_5$	$S_5$	$1$	$2$
4.7096.5t5.a.a	$4$	$ 2^{3} \cdot 887 $	$2$	5.1.7096.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.7177.5t5.a.a	$4$	$ 7177 $	$1$	5.1.7177.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.7265.5t5.a.a	$4$	$ 5 \cdot 1453 $	$2$	5.1.7265.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.7333.5t5.a.a	$4$	$ 7333 $	$1$	5.1.7333.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.7367.5t5.a.a	$4$	$ 53 \cdot 139 $	$2$	5.3.7367.1	$S_5$	$S_5$	$S_5$	$1$	$2$
4.7373.5t5.a.a	$4$	$ 73 \cdot 101 $	$2$	5.1.7373.1	$S_5$	$S_5$	$S_5$	$1$	$0$
4.7376.5t5.a.a	$4$	$ 2^{4} \cdot 461 $	$2$	5.1.7376.1	$S_5$	$S_5$	$S_5$	$1$	$0$

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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.