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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$10$ $ 11^{4} \cdot 41^{6}$ 6.4.2237411.1 $S_6$ $1$ $-2$
$10$ $ 2^{8} \cdot 3^{20} \cdot 5^{4}$ 6.2.4723920.2 $S_6$ $1$ $-2$
$10$ $ 2^{24} \cdot 3^{16}$ 6.2.1679616.2 $A_6$ $1$ $-2$
$10$ $ 2^{8} \cdot 3^{12} \cdot 7^{8}$ 6.0.12446784.1 $S_6$ $1$ $2$
$10$ $ 2^{24} \cdot 3^{8} \cdot 5^{6}$ 6.2.1036800.1 $S_6$ $1$ $-2$
$10$ $ 2^{24} \cdot 3^{8} \cdot 5^{6}$ 6.2.1036800.1 $S_6$ $1$ $-2$
$10$ $ 3^{4} \cdot 167^{6}$ 6.0.83667.1 $S_6$ $1$ $-2$
$10$ $ 17^{6} \cdot 101^{4}$ 6.2.29189.1 $S_6$ $1$ $-2$
$10$ $ 3^{14} \cdot 29^{6}$ 6.2.613089.1 $A_6$ $1$ $-2$
$10$ $ 2^{26} \cdot 3^{16}$ 6.2.13436928.5 $S_6$ $1$ $-2$
$10$ $ 2^{26} \cdot 3^{16}$ 6.2.497664.1 $S_6$ $1$ $-2$
$10$ $ 2^{20} \cdot 3^{20}$ 6.2.7558272.2 $S_6$ $1$ $-2$
$10$ $ 3^{14} \cdot 31^{6}$ 6.2.700569.1 $A_6$ $1$ $-2$
$10$ $ 2^{6} \cdot 47^{4} \cdot 61^{4}$ 6.0.45872.1 $S_6$ $1$ $-2$
$10$ $ 2^{12} \cdot 101^{6}$ 6.0.81608.1 $S_6$ $1$ $-2$
$10$ $ 3^{14} \cdot 5^{6} \cdot 17^{4}$ 6.2.309825.1 $S_6$ $1$ $-2$
$10$ $ 3^{14} \cdot 193^{4}$ 6.2.140697.1 $S_6$ $1$ $-2$
$10$ $ 2^{24} \cdot 3^{4} \cdot 7^{8}$ 6.2.3687936.1 $S_6$ $1$ $-2$
$10$ $ 2^{6} \cdot 3^{12} \cdot 5^{12}$ 6.2.9112500.1 $S_6$ $1$ $-2$
$10$ $ 2^{6} \cdot 3^{12} \cdot 5^{12}$ 6.2.9112500.1 $S_6$ $1$ $-2$
$10$ $ 11^{6} \cdot 41^{6}$ 6.4.2237411.1 $S_6$ $1$ $2$
$10$ $ 3^{14} \cdot 5^{6} \cdot 7^{6}$ 6.2.22325625.1 $A_6$ $1$ $-2$
$10$ $ 2^{6} \cdot 3461^{4}$ 6.2.55376.1 $S_6$ $1$ $-2$
$10$ $ 3^{16} \cdot 11^{8}$ 6.0.8732691.3 $S_6$ $1$ $2$
$10$ $ 3^{16} \cdot 11^{8}$ 6.0.8732691.3 $S_6$ $1$ $-2$
$10$ $ 2^{16} \cdot 5^{16}$ 6.2.12500000.1 $S_6$ $1$ $-2$
$10$ $ 3^{16} \cdot 5^{12}$ 6.2.20503125.2 $S_6$ $1$ $-2$
$10$ $ 3^{16} \cdot 5^{12}$ 6.2.20503125.2 $S_6$ $1$ $-2$
$10$ $ 2^{28} \cdot 3^{16}$ 6.2.13436928.5 $S_6$ $1$ $-2$
$10$ $ 2^{12} \cdot 3^{12} \cdot 7^{8}$ 6.0.12446784.1 $S_6$ $1$ $-2$
$10$ $ 2^{8} \cdot 3^{20} \cdot 5^{6}$ 6.2.4723920.2 $S_6$ $1$ $-2$
$10$ $ 2^{9} \cdot 3^{14} \cdot 7^{8}$ 7.3.112021056.1 $A_7$ $0$ $-2$
$10$ $ 2^{22} \cdot 3^{20}$ 6.2.7558272.2 $S_6$ $1$ $-2$
$10$ $ 3^{6} \cdot 167^{6}$ 6.0.83667.1 $S_6$ $1$ $2$
$10$ $ 2^{26} \cdot 5^{12}$ 6.2.6400000.4 $S_6$ $1$ $-2$
$10$ $ 2^{6} \cdot 3^{12} \cdot 149^{4}$ 6.2.193104.1 $S_6$ $1$ $-2$
$10$ $ 3^{20} \cdot 13^{6}$ 6.2.1108809.1 $A_6$ $1$ $-2$
$10$ $ 3^{20} \cdot 7^{8}$ 6.2.15752961.1 $A_6$ $1$ $-2$
$10$ $ 2^{18} \cdot 67^{6}$ 6.2.287296.1 $A_6$ $1$ $-2$
$10$ $ 3^{12} \cdot 461^{4}$ 6.2.336069.1 $S_6$ $1$ $-2$
$10$ $ 3^{14} \cdot 277^{4}$ 6.2.201933.1 $S_6$ $1$ $-2$
$10$ $ 5^{4} \cdot 191^{6}$ 6.2.182405.1 $S_6$ $1$ $-2$
$10$ $ 2^{18} \cdot 587^{4}$ 6.2.37568.1 $S_6$ $1$ $-2$
$10$ $ 3^{14} \cdot 17^{8}$ 6.0.20295603.1 $S_6$ $1$ $2$
$10$ $ 3^{14} \cdot 17^{8}$ 6.0.20295603.1 $S_6$ $1$ $-2$
$10$ $ 2^{6} \cdot 3^{4} \cdot 17^{6} \cdot 23^{4}$ 6.2.319056.1 $S_6$ $1$ $-2$
$10$ $ 2^{24} \cdot 223^{4}$ 6.2.228352.1 $S_6$ $1$ $-2$
$10$ $ 14731^{4}$ 6.0.14731.1 $S_6$ $1$ $-2$
$10$ $ 2^{18} \cdot 3^{12} \cdot 5^{8}$ 6.2.648000.1 $S_6$ $1$ $-2$
$10$ $ 2^{18} \cdot 3^{12} \cdot 5^{8}$ 6.2.648000.1 $S_6$ $1$ $-2$
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