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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$10$ $ 4755281^{6}$ 6.6.4755281.1 $S_6$ $1$ $10$
$10$ $ 311^{6} \cdot 15511^{6}$ 6.6.4823921.1 $S_6$ $1$ $10$
$10$ $ 11^{6} \cdot 439867^{6}$ 6.6.4838537.1 $S_6$ $1$ $10$
$10$ $ 4918997^{6}$ 6.6.4918997.1 $S_6$ $1$ $10$
$10$ $ 2^{18} \cdot 23^{6} \cdot 27509^{6}$ 6.6.5061656.1 $S_6$ $1$ $10$
$10$ $ 67^{6} \cdot 75983^{6}$ 6.6.5090861.1 $S_6$ $1$ $10$
$10$ $ 5101781^{6}$ 6.6.5101781.1 $S_6$ $1$ $10$
$10$ $ 5160733^{6}$ 6.6.5160733.1 $S_6$ $1$ $10$
$10$ $ 23^{6} \cdot 227167^{6}$ 6.6.5224841.1 $S_6$ $1$ $10$
$10$ $ 5279033^{6}$ 6.6.5279033.1 $S_6$ $1$ $10$
$10$ $ 1697^{6} \cdot 3181^{6}$ 6.6.5398157.1 $S_6$ $1$ $10$
$10$ $ 5402093^{6}$ 6.6.5402093.1 $S_6$ $1$ $10$
$10$ $ 2^{12} \cdot 97^{6} \cdot 13999^{6}$ 6.6.5431612.1 $S_6$ $1$ $10$
$10$ $ 3^{6} \cdot 1829963^{6}$ 6.6.5489889.1 $S_6$ $1$ $10$
$10$ $ 3^{6} \cdot 19^{6} \cdot 37^{6} \cdot 2617^{6}$ 10.10.823301450757.1 $C_2 \wr S_5$ $1$ $10$
$10$ $ 5611169^{6}$ 6.6.5611169.1 $S_6$ $1$ $10$
$10$ $ 487^{6} \cdot 11551^{6}$ 6.6.5625337.1 $S_6$ $1$ $10$
$10$ $ 5699033^{6}$ 6.6.5699033.1 $S_6$ $1$ $10$
$10$ $ 5748973^{6}$ 6.6.5748973.1 $S_6$ $1$ $10$
$10$ $ 2069^{6} \cdot 2833^{6}$ 6.6.5861477.1 $S_6$ $1$ $10$
$10$ $ 5926169^{6}$ 6.6.5926169.1 $S_6$ $1$ $10$
$10$ $ 5963263^{6}$ 11.3.1264549559037497889344194561.1 $\PSL(2,11)$ $1$ $-2$
$10$ $ 137^{6} \cdot 43597^{6}$ 6.6.5972789.1 $S_6$ $1$ $10$
$10$ $ 5^{6} \cdot 227^{6} \cdot 5303^{6}$ 6.6.6018905.1 $S_6$ $1$ $10$
$10$ $ 2^{12} \cdot 1534751^{6}$ 6.6.6139004.1 $S_6$ $1$ $10$
$10$ $ 53^{6} \cdot 118361^{6}$ 6.6.6273133.1 $S_6$ $1$ $10$
$10$ $ 6293081^{6}$ 6.6.6293081.1 $S_6$ $1$ $10$
$10$ $ 11^{6} \cdot 587287^{6}$ 6.6.6460157.1 $S_6$ $1$ $10$
$10$ $ 23^{6} \cdot 284819^{6}$ 6.6.6550837.1 $S_6$ $1$ $10$
$10$ $ 7^{6} \cdot 23^{6} \cdot 40709^{6}$ 6.6.6554149.1 $S_6$ $1$ $10$
$10$ $ 6557081^{6}$ 6.6.6557081.1 $S_6$ $1$ $10$
$10$ $ 2^{18} \cdot 53^{6} \cdot 15583^{6}$ 6.6.6607192.1 $S_6$ $1$ $10$
$10$ $ 179^{6} \cdot 36923^{6}$ 6.6.6609217.1 $S_6$ $1$ $10$
$10$ $ 2^{12} \cdot 23^{6} \cdot 73421^{6}$ 6.6.6754732.1 $S_6$ $1$ $10$
$10$ $ 643^{6} \cdot 10651^{6}$ 6.6.6848593.1 $S_6$ $1$ $10$
$10$ $ 6856697^{6}$ 6.6.6856697.1 $S_6$ $1$ $10$
$10$ $ 769^{6} \cdot 8933^{6}$ 6.6.6869477.1 $S_6$ $1$ $10$
$10$ $ 6955589^{6}$ 6.6.6955589.1 $S_6$ $1$ $10$
$10$ $ 11^{6} \cdot 635983^{6}$ 6.6.6995813.1 $S_6$ $1$ $10$
$10$ $ 17^{6} \cdot 411721^{6}$ 6.6.6999257.1 $S_6$ $1$ $10$
$10$ $ 17^{6} \cdot 241^{6} \cdot 1721^{6}$ 6.6.7050937.1 $S_6$ $1$ $10$
$10$ $ 3^{6} \cdot 11^{6} \cdot 47^{6} \cdot 4583^{6}$ 6.6.7108233.1 $S_6$ $1$ $10$
$10$ $ 263^{6} \cdot 27487^{6}$ 6.6.7229081.1 $S_6$ $1$ $10$
$10$ $ 13^{6} \cdot 562613^{6}$ 6.6.7313969.1 $S_6$ $1$ $10$
$10$ $ 613^{6} \cdot 11941^{6}$ 6.6.7319833.1 $S_6$ $1$ $10$
$10$ $ 13^{6} \cdot 571721^{6}$ 6.6.7432373.1 $S_6$ $1$ $10$
$10$ $ 7454269^{6}$ 6.6.7454269.1 $S_6$ $1$ $10$
$10$ $ 373^{6} \cdot 20161^{6}$ 6.6.7520053.1 $S_6$ $1$ $10$
$10$ $ 43^{6} \cdot 175039^{6}$ 6.6.7526677.1 $S_6$ $1$ $10$
$10$ $ 7563989^{6}$ 6.6.7563989.1 $S_6$ $1$ $10$
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