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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
4.1609.5t5.1c1 $4$ $ 1609 $ x5 - x3 - x2 + x + 1 $S_5$ $1$ $0$
4.17_97.5t5.1c1 $4$ $ 17 \cdot 97 $ x5 - x4 + x2 - x + 1 $S_5$ $1$ $0$
4.1777.5t5.1c1 $4$ $ 1777 $ x5 - x4 + x3 - 2x2 + x - 1 $S_5$ $1$ $0$
4.2297.5t5.1c1 $4$ $ 2297 $ x5 - x4 + x3 - x2 - 1 $S_5$ $1$ $0$
4.2617.5t5.1c1 $4$ $ 2617 $ x5 + x3 - 2x2 - 1 $S_5$ $1$ $0$
4.5_13_41.5t5.1c1 $4$ $ 5 \cdot 13 \cdot 41 $ x5 - x4 + x3 - x2 + 2x - 1 $S_5$ $1$ $0$
4.19_151.5t5.1c1 $4$ $ 19 \cdot 151 $ x5 - x - 1 $S_5$ $1$ $0$
4.7_431.5t5.1c1 $4$ $ 7 \cdot 431 $ x5 - x2 + 1 $S_5$ $1$ $0$
4.3089.5t5.1c1 $4$ $ 3089 $ x5 - x3 + 2x - 1 $S_5$ $1$ $0$
4.53_61.5t5.1c1 $4$ $ 53 \cdot 61 $ x5 - x2 - 1 $S_5$ $1$ $0$
4.3_1123.5t5.1c1 $4$ $ 3 \cdot 1123 $ x5 + x3 - x2 - x - 1 $S_5$ $1$ $0$
4.7_19_29.5t5.1c1 $4$ $ 7 \cdot 19 \cdot 29 $ x5 - x4 + x3 - x2 + 1 $S_5$ $1$ $0$
4.3889.5t5.1c1 $4$ $ 3889 $ x5 - x4 + x3 + x - 1 $S_5$ $1$ $0$
4.11_379.5t5.1c1 $4$ $ 11 \cdot 379 $ x5 + 2x3 - x2 + 2x - 1 $S_5$ $1$ $0$
4.4261.5t5.1c1 $4$ $ 4261 $ x5 - 2x2 - 2x - 1 $S_5$ $1$ $0$
4.4409.5t5.1c1 $4$ $ 4409 $ x5 - x4 + x2 + x - 1 $S_5$ $1$ $0$
4.7_631.5t5.1c1 $4$ $ 7 \cdot 631 $ x5 - 2x4 + 2x3 - x2 - 1 $S_5$ $1$ $0$
4.43_103.5t5.1c1 $4$ $ 43 \cdot 103 $ x5 - x4 + 2x3 - x2 + 1 $S_5$ $1$ $0$
4.2e4_277.5t5.1c1 $4$ $ 2^{4} \cdot 277 $ x5 - x4 + 2x2 - x + 1 $S_5$ $1$ $0$
4.11e2_37.5t5.1c1 $4$ $ 11^{2} \cdot 37 $ x5 + x3 + x - 1 $S_5$ $1$ $0$
4.13_347.5t5.1c1 $4$ $ 13 \cdot 347 $ x5 - x3 - 2x2 + 1 $S_5$ $1$ $2$
4.4549.5t5.1c1 $4$ $ 4549 $ x5 - x4 + 2x3 - 2x2 - 1 $S_5$ $1$ $0$
4.4597.5t5.1c1 $4$ $ 4597 $ x5 + x3 - 2x2 - x - 1 $S_5$ $1$ $0$
4.67_71.5t5.1c1 $4$ $ 67 \cdot 71 $ x5 - x4 + 2x3 - x2 + 2x - 1 $S_5$ $1$ $0$
4.4817.5t5.1c1 $4$ $ 4817 $ x5 - 2x4 + 2x3 - x2 + 2x - 1 $S_5$ $1$ $0$
4.59_83.5t5.1c1 $4$ $ 59 \cdot 83 $ x5 - x4 - x3 + x2 + 1 $S_5$ $1$ $0$
4.4903.5t5.1c1 $4$ $ 4903 $ x5 - x4 - x3 + 2x2 - x - 1 $S_5$ $1$ $2$
4.3_5e2_67.5t5.1c1 $4$ $ 3 \cdot 5^{2} \cdot 67 $ x5 - x4 - x2 + x + 1 $S_5$ $1$ $0$
4.2e2_1291.5t5.1c1 $4$ $ 2^{2} \cdot 1291 $ x5 - x4 - x3 + 2x + 1 $S_5$ $1$ $0$
4.5437.5t5.1c1 $4$ $ 5437 $ x5 - 2x4 + 2x3 - 2x2 - 1 $S_5$ $1$ $0$
4.5501.5t5.1c1 $4$ $ 5501 $ x5 - 2x4 + 2x2 - x + 1 $S_5$ $1$ $0$
4.5519.5t5.1c1 $4$ $ 5519 $ x5 - x4 - x3 + 3x2 - 1 $S_5$ $1$ $2$
4.2e4_349.5t5.1c1 $4$ $ 2^{4} \cdot 349 $ x5 - x4 + x + 1 $S_5$ $1$ $0$
4.5653.5t5.1c1 $4$ $ 5653 $ x5 - x4 + 2x - 1 $S_5$ $1$ $0$
4.11_523.5t5.1c1 $4$ $ 11 \cdot 523 $ x5 - x4 - x3 + 2x2 - x + 1 $S_5$ $1$ $0$
4.5783.5t5.1c1 $4$ $ 5783 $ x5 - 2x4 + x3 + 2x2 - 2x - 1 $S_5$ $1$ $2$
4.2e3_733.5t5.1c1 $4$ $ 2^{3} \cdot 733 $ x5 - x4 + x3 + 2x2 - 2x + 1 $S_5$ $1$ $0$
4.3e4_73.5t5.1c1 $4$ $ 3^{4} \cdot 73 $ x5 - x4 + 2x3 - x2 + x + 1 $S_5$ $1$ $0$
4.6449.5t5.1c1 $4$ $ 6449 $ x5 - x4 + x3 - 3x2 - 1 $S_5$ $1$ $0$
4.6581.5t5.1c1 $4$ $ 6581 $ x5 - 2x2 - 1 $S_5$ $1$ $0$
4.29_233.5t5.1c1 $4$ $ 29 \cdot 233 $ x5 - x4 + 3x2 - 2x + 1 $S_5$ $1$ $0$
4.6793.5t5.1c1 $4$ $ 6793 $ x5 - x4 + x3 + x + 1 $S_5$ $1$ $0$
4.79_89.5t5.1c1 $4$ $ 79 \cdot 89 $ x5 - x3 - x2 - x + 1 $S_5$ $1$ $2$
4.2e3_887.5t5.1c1 $4$ $ 2^{3} \cdot 887 $ x5 - x2 + x + 1 $S_5$ $1$ $0$
4.7177.5t5.1c1 $4$ $ 7177 $ x5 - x4 + 3x3 - x2 + 2x - 1 $S_5$ $1$ $0$
4.5_1453.5t5.1c1 $4$ $ 5 \cdot 1453 $ x5 - x4 + x3 + 2x2 - x + 1 $S_5$ $1$ $0$
4.7333.5t5.1c1 $4$ $ 7333 $ x5 - 2x4 + 2x3 - 2x2 + 3x - 1 $S_5$ $1$ $0$
4.53_139.5t5.1c1 $4$ $ 53 \cdot 139 $ x5 - 2x4 + 3x2 - 2x - 1 $S_5$ $1$ $2$
4.73_101.5t5.1c1 $4$ $ 73 \cdot 101 $ x5 - 2x4 + 2x2 + x - 1 $S_5$ $1$ $0$
4.2e4_461.5t5.1c1 $4$ $ 2^{4} \cdot 461 $ x5 - 2x4 + 2x3 - 2x + 2 $S_5$ $1$ $0$
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