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	$\chi(c)$
1.12.2t1.a.a	$1$	$ 2^{2} \cdot 3 $	$2$	\(\Q(\sqrt{3}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.15.2t1.a.a	$1$	$ 3 \cdot 5 $	$2$	\(\Q(\sqrt{-15}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.15.4t1.a.a 1.15.4t1.a.b	$1$	$ 3 \cdot 5 $	$2$	\(\Q(\zeta_{15})^+\)	$C_4$	$C_1$	$C_4$	$0$	$1$
1.20.2t1.a.a	$1$	$ 2^{2} \cdot 5 $	$2$	\(\Q(\sqrt{-5}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.20.4t1.a.a 1.20.4t1.a.b	$1$	$ 2^{2} \cdot 5 $	$2$	\(\Q(\zeta_{20})^+\)	$C_4$	$C_1$	$C_4$	$0$	$1$
1.21.2t1.a.a	$1$	$ 3 \cdot 7 $	$2$	\(\Q(\sqrt{21}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.21.6t1.a.a 1.21.6t1.a.b	$1$	$ 3 \cdot 7 $	$2$	6.0.64827.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.21.6t1.b.a 1.21.6t1.b.b	$1$	$ 3 \cdot 7 $	$2$	\(\Q(\zeta_{21})^+\)	$C_6$	$C_1$	$C_6$	$0$	$1$
1.24.2t1.a.a	$1$	$ 2^{3} \cdot 3 $	$2$	\(\Q(\sqrt{6}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.24.2t1.b.a	$1$	$ 2^{3} \cdot 3 $	$2$	\(\Q(\sqrt{-6}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.28.2t1.a.a	$1$	$ 2^{2} \cdot 7 $	$2$	\(\Q(\sqrt{7}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.28.6t1.a.a 1.28.6t1.a.b	$1$	$ 2^{2} \cdot 7 $	$2$	6.0.153664.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.28.6t1.b.a 1.28.6t1.b.b	$1$	$ 2^{2} \cdot 7 $	$2$	\(\Q(\zeta_{28})^+\)	$C_6$	$C_1$	$C_6$	$0$	$1$
1.33.2t1.a.a	$1$	$ 3 \cdot 11 $	$2$	\(\Q(\sqrt{33}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.33.10t1.a.a 1.33.10t1.a.b 1.33.10t1.a.c 1.33.10t1.a.d	$1$	$ 3 \cdot 11 $	$2$	10.0.52089208083.1	$C_{10}$	$C_1$	$C_{10}$	$0$	$-1$
1.33.10t1.b.a 1.33.10t1.b.b 1.33.10t1.b.c 1.33.10t1.b.d	$1$	$ 3 \cdot 11 $	$2$	\(\Q(\zeta_{33})^+\)	$C_{10}$	$C_1$	$C_{10}$	$0$	$1$
1.35.2t1.a.a	$1$	$ 5 \cdot 7 $	$2$	\(\Q(\sqrt{-35}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.35.4t1.a.a 1.35.4t1.a.b	$1$	$ 5 \cdot 7 $	$2$	4.4.6125.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.35.6t1.a.a 1.35.6t1.a.b	$1$	$ 5 \cdot 7 $	$2$	6.0.2100875.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.35.6t1.b.a 1.35.6t1.b.b	$1$	$ 5 \cdot 7 $	$2$	6.6.300125.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.35.12t1.a.a 1.35.12t1.a.b 1.35.12t1.a.c 1.35.12t1.a.d	$1$	$ 5 \cdot 7 $	$2$	12.0.11259376953125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.36.6t1.a.a 1.36.6t1.a.b	$1$	$ 2^{2} \cdot 3^{2}$	$2$	\(\Q(\zeta_{36})^+\)	$C_6$	$C_1$	$C_6$	$0$	$1$
1.36.6t1.b.a 1.36.6t1.b.b	$1$	$ 2^{2} \cdot 3^{2}$	$2$	6.0.419904.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.39.2t1.a.a	$1$	$ 3 \cdot 13 $	$2$	\(\Q(\sqrt{-39}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.39.4t1.a.a 1.39.4t1.a.b	$1$	$ 3 \cdot 13 $	$2$	4.4.19773.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.39.6t1.a.a 1.39.6t1.a.b	$1$	$ 3 \cdot 13 $	$2$	6.0.771147.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.39.6t1.b.a 1.39.6t1.b.b	$1$	$ 3 \cdot 13 $	$2$	6.0.10024911.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.40.2t1.a.a	$1$	$ 2^{3} \cdot 5 $	$2$	\(\Q(\sqrt{10}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.40.2t1.b.a	$1$	$ 2^{3} \cdot 5 $	$2$	\(\Q(\sqrt{-10}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.40.4t1.a.a 1.40.4t1.a.b	$1$	$ 2^{3} \cdot 5 $	$2$	4.4.8000.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.40.4t1.b.a 1.40.4t1.b.b	$1$	$ 2^{3} \cdot 5 $	$2$	4.0.8000.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.44.2t1.a.a	$1$	$ 2^{2} \cdot 11 $	$2$	\(\Q(\sqrt{11}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.44.10t1.a.a 1.44.10t1.a.b 1.44.10t1.a.c 1.44.10t1.a.d	$1$	$ 2^{2} \cdot 11 $	$2$	10.0.219503494144.1	$C_{10}$	$C_1$	$C_{10}$	$0$	$-1$
1.44.10t1.b.a 1.44.10t1.b.b 1.44.10t1.b.c 1.44.10t1.b.d	$1$	$ 2^{2} \cdot 11 $	$2$	\(\Q(\zeta_{44})^+\)	$C_{10}$	$C_1$	$C_{10}$	$0$	$1$
1.45.6t1.a.a 1.45.6t1.a.b	$1$	$ 3^{2} \cdot 5 $	$2$	6.6.820125.1	$C_6$	$C_1$	$C_6$	$0$	$1$
1.45.6t1.b.a 1.45.6t1.b.b	$1$	$ 3^{2} \cdot 5 $	$2$	6.0.2460375.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.45.12t1.a.a 1.45.12t1.a.b 1.45.12t1.a.c 1.45.12t1.a.d	$1$	$ 3^{2} \cdot 5 $	$2$	12.0.84075626953125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.45.12t1.b.a 1.45.12t1.b.b 1.45.12t1.b.c 1.45.12t1.b.d	$1$	$ 3^{2} \cdot 5 $	$2$	\(\Q(\zeta_{45})^+\)	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.48.4t1.a.a 1.48.4t1.a.b	$1$	$ 2^{4} \cdot 3 $	$2$	4.4.18432.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.48.4t1.b.a 1.48.4t1.b.b	$1$	$ 2^{4} \cdot 3 $	$2$	4.0.18432.2	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.51.2t1.a.a	$1$	$ 3 \cdot 17 $	$2$	\(\Q(\sqrt{-51}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.51.4t1.a.a 1.51.4t1.a.b	$1$	$ 3 \cdot 17 $	$2$	4.0.44217.1	$C_4$	$C_1$	$C_4$	$0$	$-1$
1.51.8t1.a.a 1.51.8t1.a.b 1.51.8t1.a.c 1.51.8t1.a.d	$1$	$ 3 \cdot 17 $	$2$	8.0.33237432513.1	$C_8$	$C_1$	$C_8$	$0$	$-1$
1.52.2t1.a.a	$1$	$ 2^{2} \cdot 13 $	$2$	\(\Q(\sqrt{-13}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.52.4t1.a.a 1.52.4t1.a.b	$1$	$ 2^{2} \cdot 13 $	$2$	4.4.35152.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.52.6t1.a.a 1.52.6t1.a.b	$1$	$ 2^{2} \cdot 13 $	$2$	6.0.23762752.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.52.6t1.b.a 1.52.6t1.b.b	$1$	$ 2^{2} \cdot 13 $	$2$	6.0.1827904.1	$C_6$	$C_1$	$C_6$	$0$	$-1$
1.55.2t1.a.a	$1$	$ 5 \cdot 11 $	$2$	\(\Q(\sqrt{-55}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.55.4t1.a.a 1.55.4t1.a.b	$1$	$ 5 \cdot 11 $	$2$	4.4.15125.1	$C_4$	$C_1$	$C_4$	$0$	$1$
1.55.10t1.a.a 1.55.10t1.a.b 1.55.10t1.a.c 1.55.10t1.a.d	$1$	$ 5 \cdot 11 $	$2$	10.10.669871503125.1	$C_{10}$	$C_1$	$C_{10}$	$0$	$1$

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