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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$5$ $ 100109^{4}$ 6.2.100109.1 $S_6$ $1$ $1$
$5$ $ 37^{4} \cdot 2729^{4}$ 6.2.100973.1 $S_6$ $1$ $1$
$5$ $ 2^{4} \cdot 50551^{4}$ 6.4.808816.1 $S_6$ $1$ $-3$
$5$ $ 2^{12} \cdot 12671^{4}$ 6.0.101368.1 $S_6$ $1$ $1$
$5$ $ 101653^{4}$ 6.2.101653.1 $S_6$ $1$ $1$
$5$ $ 4755281^{3}$ 6.6.4755281.1 $S_6$ $1$ $5$
$5$ $ 3^{4} \cdot 34129^{4}$ 6.4.921483.1 $S_6$ $1$ $-3$
$5$ $ 2^{2} \cdot 11^{4} \cdot 29^{4} \cdot 227^{4}$ 6.2.289652.1 $S_6$ $1$ $1$
$5$ $ 3^{4} \cdot 34231^{4}$ 6.2.102693.1 $S_6$ $1$ $1$
$5$ $ 311^{3} \cdot 15511^{3}$ 6.6.4823921.1 $S_6$ $1$ $5$
$5$ $ 11^{3} \cdot 439867^{3}$ 6.6.4838537.1 $S_6$ $1$ $5$
$5$ $ 104173^{4}$ 6.2.104173.1 $S_6$ $1$ $1$
$5$ $ 4918997^{3}$ 6.6.4918997.1 $S_6$ $1$ $5$
$5$ $ 67^{4} \cdot 1559^{4}$ 6.2.104453.1 $S_6$ $1$ $1$
$5$ $ 163^{4} \cdot 641^{4}$ 6.4.104483.1 $S_6$ $1$ $-3$
$5$ $ 104551^{4}$ 6.0.104551.1 $S_6$ $1$ $1$
$5$ $ 104717^{4}$ 6.2.104717.1 $S_6$ $1$ $1$
$5$ $ 2^{12} \cdot 13109^{4}$ 6.2.104872.1 $S_6$ $1$ $1$
$5$ $ 105601^{4}$ 6.2.105601.1 $S_6$ $1$ $1$
$5$ $ 113^{4} \cdot 937^{4}$ 6.2.105881.1 $S_6$ $1$ $1$
$5$ $ 106189^{4}$ 6.2.106189.1 $S_6$ $1$ $1$
$5$ $ 19^{4} \cdot 5591^{4}$ 6.2.106229.1 $S_6$ $1$ $1$
$5$ $ 2^{8} \cdot 37^{4} \cdot 719^{4}$ 6.2.106412.1 $S_6$ $1$ $1$
$5$ $ 2^{9} \cdot 23^{3} \cdot 27509^{3}$ 6.6.5061656.1 $S_6$ $1$ $5$
$5$ $ 11^{4} \cdot 9719^{4}$ 6.2.106909.1 $S_6$ $1$ $1$
$5$ $ 67^{3} \cdot 75983^{3}$ 6.6.5090861.1 $S_6$ $1$ $5$
$5$ $ 5101781^{3}$ 6.6.5101781.1 $S_6$ $1$ $5$
$5$ $ 163^{4} \cdot 659^{4}$ 6.2.107417.1 $S_6$ $1$ $1$
$5$ $ 5160733^{3}$ 6.6.5160733.1 $S_6$ $1$ $5$
$5$ $ 23^{3} \cdot 227167^{3}$ 6.6.5224841.1 $S_6$ $1$ $5$
$5$ $ 2^{4} \cdot 54667^{4}$ 6.4.874672.1 $S_6$ $1$ $-3$
$5$ $ 109673^{4}$ 6.2.109673.1 $S_6$ $1$ $1$
$5$ $ 5^{4} \cdot 17^{4} \cdot 1291^{4}$ 6.0.109735.1 $S_6$ $1$ $1$
$5$ $ 5279033^{3}$ 6.6.5279033.1 $S_6$ $1$ $5$
$5$ $ 110261^{4}$ 6.2.110261.1 $S_6$ $1$ $1$
$5$ $ 2^{4} \cdot 55243^{4}$ 6.4.883888.1 $S_6$ $1$ $-3$
$5$ $ 3^{4} \cdot 36833^{4}$ 6.0.110499.1 $S_6$ $1$ $1$
$5$ $ 2^{10} \cdot 19543^{4}$ 6.2.312688.1 $S_6$ $1$ $1$
$5$ $ 2^{4} \cdot 59^{4} \cdot 937^{4}$ 6.4.884528.1 $S_6$ $1$ $-3$
$5$ $ 110863^{4}$ 6.0.110863.1 $S_6$ $1$ $1$
$5$ $ 111191^{4}$ 6.0.111191.1 $S_6$ $1$ $1$
$5$ $ 2^{8} \cdot 27809^{4}$ 6.0.111236.1 $S_6$ $1$ $1$
$5$ $ 111269^{4}$ 6.2.111269.2 $S_6$ $1$ $1$
$5$ $ 111269^{4}$ 6.2.111269.1 $S_6$ $1$ $1$
$5$ $ 11^{4} \cdot 10151^{4}$ 6.2.111661.1 $S_6$ $1$ $1$
$5$ $ 131^{4} \cdot 853^{4}$ 6.0.111743.1 $S_6$ $1$ $1$
$5$ $ 1697^{3} \cdot 3181^{3}$ 6.6.5398157.1 $S_6$ $1$ $5$
$5$ $ 5402093^{3}$ 6.6.5402093.1 $S_6$ $1$ $5$
$5$ $ 2^{4} \cdot 2152949^{3}$ 6.6.8611796.1 $S_6$ $1$ $5$
$5$ $ 2^{6} \cdot 97^{3} \cdot 13999^{3}$ 6.6.5431612.1 $S_6$ $1$ $5$
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