LMFDB - Artin representation search results

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Dimension	Conductor	Group	Root number	Parity

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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	$\chi(c)$
1.100.10t1.a.a 1.100.10t1.a.b 1.100.10t1.a.c 1.100.10t1.a.d	$1$	$2^{2} \cdot 5^{2}$	$2$	10.0.156250000000000.1	$C_{10}$	$C_1$	$C_{10}$	$0$	$-1$
1.101.2t1.a.a	$1$	$101$	$1$	$\Q(\sqrt{101})$	$C_2$	$C_1$	$C_2$	$1$	$1$
1.101.4t1.a.a 1.101.4t1.a.b	$1$	$101$	$1$	4.0.1030301.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.101.5t1.a.a 1.101.5t1.a.b 1.101.5t1.a.c 1.101.5t1.a.d	$1$	$101$	$1$	5.5.104060401.1	$C_5$	$C_1$	$C_5$	$0$	$1$
1.103.2t1.a.a	$1$	$103$	$1$	$\Q(\sqrt{-103})$	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.103.3t1.a.a 1.103.3t1.a.b	$1$	$103$	$1$	3.3.10609.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.103.6t1.a.a 1.103.6t1.a.b	$1$	$103$	$1$	6.0.11592740743.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.104.2t1.a.a	$1$	$2^{3} \cdot 13$	$2$	$\Q(\sqrt{26})$	$C_2$	$C_1$	$C_2$	$1$	$1$
1.104.2t1.b.a	$1$	$2^{3} \cdot 13$	$2$	$\Q(\sqrt{-26})$	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.104.4t1.a.a 1.104.4t1.a.b	$1$	$2^{3} \cdot 13$	$2$	4.4.140608.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.104.4t1.b.a 1.104.4t1.b.b	$1$	$2^{3} \cdot 13$	$2$	4.0.140608.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.104.6t1.a.a 1.104.6t1.a.b	$1$	$2^{3} \cdot 13$	$2$	6.6.14623232.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.104.6t1.b.a 1.104.6t1.b.b	$1$	$2^{3} \cdot 13$	$2$	6.0.190102016.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.104.6t1.c.a 1.104.6t1.c.b	$1$	$2^{3} \cdot 13$	$2$	6.6.190102016.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.104.6t1.d.a 1.104.6t1.d.b	$1$	$2^{3} \cdot 13$	$2$	6.0.14623232.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.105.2t1.a.a	$1$	$3 \cdot 5 \cdot 7$	$3$	$\Q(\sqrt{105})$	$C_2$	$C_1$	$C_2$	$1$	$1$
1.105.4t1.a.a 1.105.4t1.a.b	$1$	$3 \cdot 5 \cdot 7$	$3$	4.0.55125.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.105.6t1.a.a 1.105.6t1.a.b	$1$	$3 \cdot 5 \cdot 7$	$3$	6.0.8103375.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.105.6t1.b.a 1.105.6t1.b.b	$1$	$3 \cdot 5 \cdot 7$	$3$	6.6.56723625.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.107.2t1.a.a	$1$	$107$	$1$	$\Q(\sqrt{-107})$	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.108.18t1.a.a 1.108.18t1.a.b 1.108.18t1.a.c 1.108.18t1.a.d 1.108.18t1.a.e 1.108.18t1.a.f	$1$	$2^{2} \cdot 3^{3}$	$2$	18.0.258151783382020583032356864.7	$C_{18}$	$C_1$	$C_{18}$	$0$	$-1$
1.109.2t1.a.a	$1$	$109$	$1$	$\Q(\sqrt{109})$	$C_2$	$C_1$	$C_2$	$1$	$1$
1.109.3t1.a.a 1.109.3t1.a.b	$1$	$109$	$1$	3.3.11881.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.109.4t1.a.a 1.109.4t1.a.b	$1$	$109$	$1$	4.0.1295029.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.109.6t1.a.a 1.109.6t1.a.b	$1$	$109$	$1$	6.6.15386239549.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.109.9t1.a.a 1.109.9t1.a.b 1.109.9t1.a.c 1.109.9t1.a.d 1.109.9t1.a.e 1.109.9t1.a.f	$1$	$109$	$1$	9.9.19925626416901921.1	$C_9$	$C_1$	$C_9$	$0$	$1$
1.111.2t1.a.a	$1$	$3 \cdot 37$	$2$	$\Q(\sqrt{-111})$	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.111.4t1.a.a 1.111.4t1.a.b	$1$	$3 \cdot 37$	$2$	4.4.455877.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.111.6t1.a.a 1.111.6t1.a.b	$1$	$3 \cdot 37$	$2$	6.0.1872286839.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.111.6t1.b.a 1.111.6t1.b.b	$1$	$3 \cdot 37$	$2$	6.0.50602347.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.112.4t1.a.a 1.112.4t1.a.b	$1$	$2^{4} \cdot 7$	$2$	4.4.100352.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.112.4t1.b.a 1.112.4t1.b.b	$1$	$2^{4} \cdot 7$	$2$	4.0.100352.5	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.113.2t1.a.a	$1$	$113$	$1$	$\Q(\sqrt{113})$	$C_2$	$C_1$	$C_2$	$1$	$1$
1.113.4t1.a.a 1.113.4t1.a.b	$1$	$113$	$1$	4.4.1442897.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.113.7t1.a.a 1.113.7t1.a.b 1.113.7t1.a.c 1.113.7t1.a.d 1.113.7t1.a.e 1.113.7t1.a.f	$1$	$113$	$1$	7.7.2081951752609.1	$C_7$	$C_1$	$C_7$	$0$	$1$
1.113.8t1.a.a 1.113.8t1.a.b 1.113.8t1.a.c 1.113.8t1.a.d	$1$	$113$	$1$	8.8.235260548044817.1	$C_8$	$C_1$	$C_8$	$0$	$1$
1.115.2t1.a.a	$1$	$5 \cdot 23$	$2$	$\Q(\sqrt{-115})$	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.115.4t1.a.a 1.115.4t1.a.b	$1$	$5 \cdot 23$	$2$	4.4.66125.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.116.2t1.a.a	$1$	$2^{2} \cdot 29$	$2$	$\Q(\sqrt{-29})$	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.116.4t1.a.a 1.116.4t1.a.b	$1$	$2^{2} \cdot 29$	$2$	4.4.390224.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.116.14t1.a.a 1.116.14t1.a.b 1.116.14t1.a.c 1.116.14t1.a.d 1.116.14t1.a.e 1.116.14t1.a.f	$1$	$2^{2} \cdot 29$	$2$	14.0.168110140833113738264576.1	$C_{14}$	$C_1$	$C_{14}$	$0$	$-1$
1.116.14t1.b.a 1.116.14t1.b.b 1.116.14t1.b.c 1.116.14t1.b.d 1.116.14t1.b.e 1.116.14t1.b.f	$1$	$2^{2} \cdot 29$	$2$	14.0.5796901408038404767744.1	$C_{14}$	$C_1$	$C_{14}$	$0$	$-1$
1.117.3t1.a.a 1.117.3t1.a.b	$1$	$3^{2} \cdot 13$	$2$	3.3.13689.2	$C_3$	$C_1$	$C_3$	$0$	$1$
1.117.3t1.b.a 1.117.3t1.b.b	$1$	$3^{2} \cdot 13$	$2$	3.3.13689.1	$C_3$	$C_1$	$C_3$	$0$	$1$
1.117.6t1.a.a 1.117.6t1.a.b	$1$	$3^{2} \cdot 13$	$2$	6.0.562166163.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.117.6t1.b.a 1.117.6t1.b.b	$1$	$3^{2} \cdot 13$	$2$	6.0.562166163.2	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.117.6t1.c.a 1.117.6t1.c.b	$1$	$3^{2} \cdot 13$	$2$	6.6.14414517.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.117.6t1.d.a 1.117.6t1.d.b	$1$	$3^{2} \cdot 13$	$2$	6.0.7308160119.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.117.6t1.e.a 1.117.6t1.e.b	$1$	$3^{2} \cdot 13$	$2$	6.0.7308160119.2	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.117.6t1.f.a 1.117.6t1.f.b	$1$	$3^{2} \cdot 13$	$2$	6.6.2436053373.1	$C_6$	$C_1$	$C_6$	$0$	$1$

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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.