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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$6$ $ 3^{5} \cdot 11^{2} \cdot 31^{2}$ 9.1.875944773.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 23^{2}$ 9.1.1030204224.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2}$ 9.1.2366667072.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{3} \cdot 13^{2} \cdot 19^{2}$ 9.1.8012189952.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{2} \cdot 7^{3} \cdot 283^{2}$ 9.1.31096636564.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{7} \cdot 29^{2}$ 9.1.1137893184.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{5} \cdot 7^{2} \cdot 13^{2}$ 9.1.46878144768.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 41^{2}$ 9.1.490197028608.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{8} \cdot 3^{5} \cdot 61^{2}$ 9.1.37653424128.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 3^{9} \cdot 109^{2}$ 9.1.76470167421.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{8} \cdot 3^{9} \cdot 7^{2}$ 9.1.186659085312.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 19^{2}$ 9.1.37927526400.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 3^{7} \cdot 367^{2}$ 9.3.36035099127.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 3^{7} \cdot 367^{2}$ 9.1.1334633301.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{3} \cdot 433^{2}$ 9.1.561135078144.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 3^{7} \cdot 397^{2}$ 9.1.45614093517.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{9} \cdot 17^{2}$ 9.1.74267580672.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 5^{3} \cdot 223^{2}$ 9.5.354866144000.1 $S_3\wr S_3$ $1$ $2$
$6$ $ 2^{6} \cdot 3^{3} \cdot 13^{2} \cdot 37^{2}$ 9.7.59169187584.1 $S_3\wr S_3$ $1$ $-4$
$6$ $ 2^{6} \cdot 3^{5} \cdot 7^{2} \cdot 23^{2}$ 9.1.86537154816.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 5^{5} \cdot 47^{2}$ 9.5.415292000000.1 $S_3\wr S_3$ $1$ $2$
$6$ $ 2^{6} \cdot 3^{3} \cdot 523^{2}$ 9.1.988800770304.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{16} \cdot 5^{2} \cdot 17^{2}$ 9.1.20123648000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 3^{7} \cdot 11^{2} \cdot 43^{2}$ 9.1.77145562593.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{14} \cdot 5^{4} \cdot 7^{2}$ 9.1.4390400000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{13} \cdot 7^{2} \cdot 11^{3}$ 9.1.5877014528.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{11} \cdot 7^{2}$ 9.1.179992689408.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{16} \cdot 3^{2} \cdot 31^{2}$ 9.1.26357170176.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 11^{5} \cdot 61^{2}$ 9.1.3323228821.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 13^{4}$ 9.1.408695571648.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2}$ 9.1.30371328000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{7} \cdot 67^{2}$ 9.1.2078873856.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 41^{2}$ 9.1.35728646400.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{17} \cdot 71^{2}$ 9.3.23456055296.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 5^{4} \cdot 7^{5}$ 9.1.94119200000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{3} \cdot 631^{2}$ 9.7.5209704158976.1 $S_3\wr S_3$ $1$ $-4$
$6$ $ 2^{14} \cdot 211^{2}$ 9.1.2404846336.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 101^{2}$ 9.5.296726688000.1 $S_3\wr S_3$ $1$ $2$
$6$ $ 2^{6} \cdot 3^{9} \cdot 5^{4}$ 9.1.106288200000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{12} \cdot 499^{2}$ 9.1.7952095936.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{4} \cdot 3^{11} \cdot 19^{2}$ 9.1.1574706449808.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 3^{9} \cdot 229^{2}$ 9.7.236372930487.1 $S_3\wr S_3$ $1$ $-4$
$6$ $ 2^{16} \cdot 127^{2}$ 9.3.67121414144.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{7} \cdot 89^{2}$ 9.1.131564134656.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{5} \cdot 271^{2}$ 9.3.412698468096.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{2} \cdot 7^{5} \cdot 11^{2}$ 9.1.5522223168.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{5} \cdot 5^{4} \cdot 11^{2}$ 9.1.431244000000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{2} \cdot 19^{4}$ 9.1.22819728384.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{8} \cdot 3^{5} \cdot 11^{2} \cdot 13^{2}$ 9.1.17966327808.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{17} \cdot 3^{3} \cdot 19^{2}$ 9.1.3034202112.1 $S_3\wr S_3$ $1$ $0$
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