LMFDB - Artin representation search results

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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	$\chi(c)$
4.10512.8t29.d.a	$4$	$ 2^{4} \cdot 3^{2} \cdot 73 $	$3$	8.0.6906384.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.29952.8t29.a.a	$4$	$ 2^{8} \cdot 3^{2} \cdot 13 $	$3$	8.0.3504384.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.100352.8t29.a.a	$4$	$ 2^{11} \cdot 7^{2}$	$2$	8.0.39337984.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.154880.8t29.a.a	$4$	$ 2^{8} \cdot 5 \cdot 11^{2}$	$3$	8.0.49561600.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.207368.8t29.e.a	$4$	$ 2^{3} \cdot 7^{2} \cdot 23^{2}$	$3$	8.0.81288256.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.209088.8t29.b.a	$4$	$ 2^{6} \cdot 3^{3} \cdot 11^{2}$	$3$	8.0.361304064.4	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.292032.8t29.b.a	$4$	$ 2^{6} \cdot 3^{3} \cdot 13^{2}$	$3$	8.0.504631296.7	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.307520.8t29.a.a	$4$	$ 2^{6} \cdot 5 \cdot 31^{2}$	$3$	8.0.98406400.2	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.401408.8t29.a.a	$4$	$ 2^{13} \cdot 7^{2}$	$2$	8.0.39337984.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.508805.8t29.c.a	$4$	$ 5 \cdot 11^{2} \cdot 29^{2}$	$3$	8.0.307827025.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.613312.8t29.d.a	$4$	$ 2^{6} \cdot 7 \cdot 37^{2}$	$3$	8.4.274763776.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.1179648.8t29.a.a	$4$	$ 2^{17} \cdot 3^{2}$	$2$	8.4.2415919104.2	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.1179648.8t29.b.a	$4$	$ 2^{17} \cdot 3^{2}$	$2$	8.4.2415919104.2	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.1217600.8t29.b.a	$4$	$ 2^{6} \cdot 5^{2} \cdot 761 $	$3$	8.8.23164840000.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$4$
4.1518005.8t29.c.a	$4$	$ 5 \cdot 19^{2} \cdot 29^{2}$	$3$	8.0.2739999025.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.2278400.8t29.a.a	$4$	$ 2^{10} \cdot 5^{2} \cdot 89 $	$3$	8.8.5069440000.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$4$
4.2534720.8t29.b.a	$4$	$ 2^{6} \cdot 5 \cdot 89^{2}$	$3$	8.0.811110400.3	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.3345408.8t29.d.a	$4$	$ 2^{10} \cdot 3^{3} \cdot 11^{2}$	$3$	8.0.361304064.4	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.3345408.8t29.f.a	$4$	$ 2^{10} \cdot 3^{3} \cdot 11^{2}$	$3$	8.0.5780865024.18	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.3345408.8t29.g.a	$4$	$ 2^{10} \cdot 3^{3} \cdot 11^{2}$	$3$	8.0.5780865024.18	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.3872000.8t29.a.a	$4$	$ 2^{8} \cdot 5^{3} \cdot 11^{2}$	$3$	8.0.49561600.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.4672512.8t29.b.a	$4$	$ 2^{10} \cdot 3^{3} \cdot 13^{2}$	$3$	8.0.504631296.7	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.4770363.8t29.a.a	$4$	$ 3 \cdot 13^{2} \cdot 97^{2}$	$3$	8.4.2418574041.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.4922883.8t29.a.a	$4$	$ 3^{3} \cdot 7^{2} \cdot 61^{2}$	$3$	8.4.6512974209.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.4922883.8t29.b.a	$4$	$ 3^{3} \cdot 7^{2} \cdot 61^{2}$	$3$	8.4.6512974209.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.5061888.8t29.a.a	$4$	$ 2^{8} \cdot 3^{2} \cdot 13^{3}$	$3$	8.0.3504384.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.5419008.8t29.e.a	$4$	$ 2^{12} \cdot 3^{3} \cdot 7^{2}$	$3$	8.4.7169347584.6	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.5419008.8t29.f.a	$4$	$ 2^{12} \cdot 3^{3} \cdot 7^{2}$	$3$	8.4.7169347584.6	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.6023667.8t29.c.a	$4$	$ 3 \cdot 13^{2} \cdot 109^{2}$	$3$	8.4.3053999169.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.6422528.8t29.c.a	$4$	$ 2^{17} \cdot 7^{2}$	$2$	8.0.13153337344.2	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.6422528.8t29.d.a	$4$	$ 2^{17} \cdot 7^{2}$	$2$	8.0.13153337344.2	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.7688000.8t29.a.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 31^{2}$	$3$	8.0.98406400.2	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.8968323.8t29.e.a	$4$	$ 3 \cdot 7^{2} \cdot 13^{2} \cdot 19^{2}$	$4$	8.4.4546939761.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.9462528.8t29.c.a	$4$	$ 2^{8} \cdot 3^{3} \cdot 37^{2}$	$3$	8.4.16351248384.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.9462528.8t29.d.a	$4$	$ 2^{8} \cdot 3^{3} \cdot 37^{2}$	$3$	8.4.16351248384.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.12720125.8t29.c.a	$4$	$ 5^{3} \cdot 11^{2} \cdot 29^{2}$	$3$	8.0.307827025.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.13271552.8t29.e.a	$4$	$ 2^{9} \cdot 7^{2} \cdot 23^{2}$	$3$	8.0.81288256.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.15859712.8t29.c.a	$4$	$ 2^{17} \cdot 11^{2}$	$2$	8.4.32480690176.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.15859712.8t29.d.a	$4$	$ 2^{17} \cdot 11^{2}$	$2$	8.4.32480690176.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.17334272.8t29.a.a	$4$	$ 2^{15} \cdot 23^{2}$	$2$	8.0.35500589056.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.17334272.8t29.b.a	$4$	$ 2^{15} \cdot 23^{2}$	$2$	8.0.35500589056.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.30052288.8t29.d.a	$4$	$ 2^{6} \cdot 7^{3} \cdot 37^{2}$	$3$	8.4.274763776.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.37950125.8t29.c.a	$4$	$ 5^{3} \cdot 19^{2} \cdot 29^{2}$	$3$	8.0.2739999025.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.42933267.8t29.a.a	$4$	$ 3^{3} \cdot 13^{2} \cdot 97^{2}$	$3$	8.4.2418574041.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.43137792.8t29.a.a	$4$	$ 2^{8} \cdot 3^{3} \cdot 79^{2}$	$3$	8.4.74542104576.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.43137792.8t29.b.a	$4$	$ 2^{8} \cdot 3^{3} \cdot 79^{2}$	$3$	8.4.74542104576.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$2$
4.54213003.8t29.c.a	$4$	$ 3^{3} \cdot 13^{2} \cdot 109^{2}$	$3$	8.4.3053999169.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$
4.56018448.8t29.d.a	$4$	$ 2^{4} \cdot 3^{2} \cdot 73^{3}$	$3$	8.0.6906384.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.63368000.8t29.b.a	$4$	$ 2^{6} \cdot 5^{3} \cdot 89^{2}$	$3$	8.0.811110400.3	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$0$
4.80714907.8t29.e.a	$4$	$ 3^{3} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2}$	$4$	8.4.4546939761.1	$(((C_4 \times C_2): C_2):C_2):C_2$	$C_2^2\wr C_2$	$(((C_4 \times C_2): C_2):C_2):C_2$	$1$	$-2$

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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.