## Results: displaying matches 1-10 of 11654

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
3.229.4t5.1c1 $3$ $229$ x4 - x + 1 $S_4$ $1$ $-1$
3.257.4t5.1c1 $3$ $257$ x4 + x2 - x + 1 $S_4$ $1$ $-1$
3.283.4t5.1c1 $3$ $283$ x4 - x - 1 $S_4$ $1$ $1$
3.331.4t5.1c1 $3$ $331$ x4 - x3 + x2 + x - 1 $S_4$ $1$ $1$
3.491.4t5.1c1 $3$ $491$ x4 - x3 - x2 + 3x - 1 $S_4$ $1$ $1$
3.563.4t5.1c1 $3$ $563$ x4 - x3 + x2 - x - 1 $S_4$ $1$ $1$
3.2e4_37.4t5.1c1 $3$ $2^{4} \cdot 37$ x4 + 2x2 - 2x + 1 $S_4$ $1$ $-1$
3.643.4t5.1c1 $3$ $643$ x4 - x3 - 2x + 1 $S_4$ $1$ $1$
3.2e4_43.4t5.1c1 $3$ $2^{4} \cdot 43$ x4 - 2x - 1 $S_4$ $1$ $1$
3.17_41.4t5.1c1 $3$ $17 \cdot 41$ x4 - x3 + 2x2 - x + 2 $S_4$ $1$ $-1$
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