Artin representation search results

Results (21 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
1.35.12t1.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	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.45.12t1.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 $	$2$	\(\Q(\zeta_{45})^+\)	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.65.12t1.a.a 1.65.12t1.a.b 1.65.12t1.a.c 1.65.12t1.a.d	$1$	$ 5 \cdot 13 $	$2$	12.0.1593224064453125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.91.12t1.a.a 1.91.12t1.a.b 1.91.12t1.a.c 1.91.12t1.a.d	$1$	$ 7 \cdot 13 $	$2$	12.0.61132828589969773.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.95.12t1.a.a 1.95.12t1.a.b 1.95.12t1.a.c 1.95.12t1.a.d	$1$	$ 5 \cdot 19 $	$2$	12.0.33171021564453125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.140.12t1.a.a 1.140.12t1.a.b 1.140.12t1.a.c 1.140.12t1.a.d	$1$	$ 2^{2} \cdot 5 \cdot 7 $	$3$	12.12.46118408000000000.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.155.12t1.a.a 1.155.12t1.a.b 1.155.12t1.a.c 1.155.12t1.a.d	$1$	$ 5 \cdot 31 $	$2$	12.0.1665802807501953125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.180.12t1.a.a 1.180.12t1.a.b 1.180.12t1.a.c 1.180.12t1.a.d	$1$	$ 2^{2} \cdot 3^{2} \cdot 5 $	$3$	12.0.3099363912000000000.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.180.12t1.b.a 1.180.12t1.b.b 1.180.12t1.b.c 1.180.12t1.b.d	$1$	$ 2^{2} \cdot 3^{2} \cdot 5 $	$3$	12.12.344373768000000000.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.208.12t1.a.a 1.208.12t1.a.b 1.208.12t1.a.c 1.208.12t1.a.d	$1$	$ 2^{4} \cdot 13 $	$2$	12.0.7007073538075000832.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.208.12t1.b.a 1.208.12t1.b.b 1.208.12t1.b.c 1.208.12t1.b.d	$1$	$ 2^{4} \cdot 13 $	$2$	12.12.7007073538075000832.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.285.12t1.a.a 1.285.12t1.a.b 1.285.12t1.a.c 1.285.12t1.a.d	$1$	$ 3 \cdot 5 \cdot 19 $	$3$	12.12.24181674720486328125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.315.12t1.a.a 1.315.12t1.a.b 1.315.12t1.a.c 1.315.12t1.a.d	$1$	$ 3^{2} \cdot 5 \cdot 7 $	$3$	12.12.9891413435408203125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.315.12t1.b.a 1.315.12t1.b.b 1.315.12t1.b.c 1.315.12t1.b.d	$1$	$ 3^{2} \cdot 5 \cdot 7 $	$3$	12.0.484679258335001953125.2	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.335.12t1.a.a 1.335.12t1.a.b 1.335.12t1.a.c 1.335.12t1.a.d	$1$	$ 5 \cdot 67 $	$2$	12.0.793100932727814453125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.455.12t1.a.a 1.455.12t1.a.b 1.455.12t1.a.c 1.455.12t1.a.d	$1$	$ 5 \cdot 7 \cdot 13 $	$3$	12.12.187441217958845703125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.465.12t1.a.a 1.465.12t1.a.b 1.465.12t1.a.c 1.465.12t1.a.d	$1$	$ 3 \cdot 5 \cdot 31 $	$3$	12.12.1214370246668923828125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$
1.635.12t1.a.a 1.635.12t1.a.b 1.635.12t1.a.c 1.635.12t1.a.d	$1$	$ 5 \cdot 127 $	$2$	12.0.132178191876990001953125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.665.12t1.a.a 1.665.12t1.a.b 1.665.12t1.a.c 1.665.12t1.a.d	$1$	$ 5 \cdot 7 \cdot 19 $	$3$	12.0.191224338285780939453125.1	$C_{12}$	$C_1$	$C_{12}$	$0$	$-1$
1.2159.12t1.a.a 1.2159.12t1.a.b 1.2159.12t1.a.c 1.2159.12t1.a.d	$1$	$ 17 \cdot 127 $	$2$	12.12.8025462320079492591473139857.2	$C_{12}$	$C_1$	$C_{12}$	$0$	$1$