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