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	$\chi(c)$
3.229.4t5.a.a	$3$	$ 229 $	$1$	4.0.229.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.257.4t5.a.a	$3$	$ 257 $	$1$	4.0.257.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.283.4t5.b.a	$3$	$ 283 $	$1$	4.2.283.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.331.4t5.a.a	$3$	$ 331 $	$1$	4.2.331.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.332.6t11.a.a	$3$	$ 2^{2} \cdot 83 $	$2$	6.0.27556.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.341.6t11.c.a	$3$	$ 11 \cdot 31 $	$2$	6.0.10571.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.437.6t11.b.a	$3$	$ 19 \cdot 23 $	$2$	6.0.10051.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.472.6t11.a.a	$3$	$ 2^{3} \cdot 59 $	$2$	6.0.27848.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.491.4t5.b.a	$3$	$ 491 $	$1$	4.2.491.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.563.4t5.b.a	$3$	$ 563 $	$1$	4.2.563.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.592.4t5.a.a	$3$	$ 2^{4} \cdot 37 $	$2$	4.0.592.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.597.6t11.b.a	$3$	$ 3 \cdot 199 $	$2$	6.0.118803.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.637.6t6.a.a	$3$	$ 7^{2} \cdot 13 $	$2$	6.2.31213.1	$A_4\times C_2$	$A_4$	$A_4\times C_2$	$1$	$-1$
3.643.4t5.a.a	$3$	$ 643 $	$1$	4.2.643.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.688.4t5.b.a	$3$	$ 2^{4} \cdot 43 $	$2$	4.2.688.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.697.4t5.a.a	$3$	$ 17 \cdot 41 $	$2$	4.0.697.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.717.6t11.b.a	$3$	$ 3 \cdot 239 $	$2$	6.0.171363.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.731.4t5.a.a	$3$	$ 17 \cdot 43 $	$2$	4.2.731.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.740.6t11.c.a	$3$	$ 2^{2} \cdot 5 \cdot 37 $	$3$	6.2.109520.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.749.6t11.b.a	$3$	$ 7 \cdot 107 $	$2$	6.0.80143.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.751.4t5.a.a	$3$	$ 751 $	$1$	4.2.751.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.761.4t5.a.a	$3$	$ 761 $	$1$	4.0.761.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.788.4t5.a.a	$3$	$ 2^{2} \cdot 197 $	$2$	4.0.788.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.804.6t11.a.a	$3$	$ 2^{2} \cdot 3 \cdot 67 $	$3$	6.0.215472.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.805.6t11.a.a	$3$	$ 5 \cdot 7 \cdot 23 $	$3$	6.0.18515.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.844.6t11.a.a	$3$	$ 2^{2} \cdot 211 $	$2$	6.0.178084.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.845.6t6.a.a	$3$	$ 5 \cdot 13^{2}$	$2$	6.2.142805.1	$A_4\times C_2$	$A_4$	$A_4\times C_2$	$1$	$-1$
3.848.4t5.b.a	$3$	$ 2^{4} \cdot 53 $	$2$	4.2.848.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.856.6t11.a.a	$3$	$ 2^{3} \cdot 107 $	$2$	6.2.91592.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.892.4t5.a.a	$3$	$ 2^{2} \cdot 223 $	$2$	4.0.892.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.912.6t11.b.a	$3$	$ 2^{4} \cdot 3 \cdot 19 $	$3$	6.0.69312.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.921.6t11.a.a	$3$	$ 3 \cdot 307 $	$2$	6.0.282747.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.944.6t11.a.a	$3$	$ 2^{4} \cdot 59 $	$2$	6.0.55696.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.963.6t11.a.a	$3$	$ 3^{2} \cdot 107 $	$2$	6.4.309123.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.976.4t5.b.a	$3$	$ 2^{4} \cdot 61 $	$2$	4.2.976.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.981.6t11.b.a	$3$	$ 3^{2} \cdot 109 $	$2$	6.0.320787.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.985.4t5.a.a	$3$	$ 5 \cdot 197 $	$2$	4.0.985.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.988.6t11.a.a	$3$	$ 2^{2} \cdot 13 \cdot 19 $	$3$	6.2.75088.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.989.6t11.b.a	$3$	$ 23 \cdot 43 $	$2$	6.0.22747.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.1003.6t11.b.a	$3$	$ 17 \cdot 59 $	$2$	6.2.59177.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.1016.4t5.a.a	$3$	$ 2^{3} \cdot 127 $	$2$	4.0.1016.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.1076.4t5.a.a	$3$	$ 2^{2} \cdot 269 $	$2$	4.0.1076.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.1099.4t5.a.a	$3$	$ 7 \cdot 157 $	$2$	4.2.1099.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.1101.6t11.b.a	$3$	$ 3 \cdot 367 $	$2$	6.0.404067.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.1107.4t5.a.a	$3$	$ 3^{3} \cdot 41 $	$2$	4.2.1107.1	$S_4$	$S_4$	$S_4$	$1$	$1$
3.1112.6t11.b.a	$3$	$ 2^{3} \cdot 139 $	$2$	6.0.154568.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.1129.4t5.a.a	$3$	$ 1129 $	$1$	4.0.1129.1	$S_4$	$S_4$	$S_4$	$1$	$-1$
3.1137.6t11.b.a	$3$	$ 3 \cdot 379 $	$2$	6.0.430923.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$-1$
3.1147.6t11.b.a	$3$	$ 31 \cdot 37 $	$2$	6.2.35557.1	$S_4\times C_2$	$S_4$	$S_4\times C_2$	$1$	$1$
3.1192.4t5.a.a	$3$	$ 2^{3} \cdot 149 $	$2$	4.2.1192.1	$S_4$	$S_4$	$S_4$	$1$	$1$

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