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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$6$ $ 13 \cdot 29 \cdot 31^{3}$ 9.1.348167417.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 31^{3} \cdot 431 $ 9.3.398037551.1 $S_3\wr S_3$ $1$ $-2$
$6$ $ 2^{4} \cdot 19^{3} \cdot 157 $ 9.1.1309465408.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 59^{3} \cdot 97 $ 9.1.1175384017.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 11^{3} \cdot 281 $ 9.1.1053214976.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 11 \cdot 17 \cdot 59^{3}$ 9.3.2265946507.1 $S_3\wr S_3$ $1$ $-2$
$6$ $ 2^{6} \cdot 3 \cdot 5^{4} \cdot 7^{3}$ 9.1.7203000000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 19^{3} \cdot 97 $ 9.1.3236131072.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{4} \cdot 3^{9} \cdot 157 $ 9.1.5339919168.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{9} \cdot 41 $ 9.1.5578004736.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 23 \cdot 37^{3}$ 9.3.11035059968.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 23^{3} \cdot 101 $ 9.1.1808892224.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{10} \cdot 23 $ 9.1.9387373824.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3 \cdot 17 \cdot 31^{3}$ 9.1.3014372544.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 31 \cdot 37^{3}$ 9.3.14873341696.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{3} \cdot 3^{12} \cdot 5^{2}$ 9.1.2869781400.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{10} \cdot 29 $ 9.3.11836253952.1 $S_3\wr S_3$ $1$ $-2$
$6$ $ 2^{6} \cdot 23^{3} \cdot 149 $ 9.1.2668563776.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 23^{3} \cdot 157 $ 9.1.2811842368.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 47 \cdot 139^{3}$ 9.3.17545148927.1 $S_3\wr S_3$ $1$ $-2$
$6$ $ 2^{11} \cdot 7^{2} \cdot 11^{3}$ 9.1.5877014528.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{8} \cdot 11^{4} \cdot 43 $ 9.1.4875335872.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{4} \cdot 3^{3} \cdot 5 \cdot 17^{4}$ 9.1.156411447120.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 59 $ 9.1.6372000000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{11} \cdot 17 $ 9.1.187339329792.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{11} \cdot 3^{9} \cdot 5 $ 9.1.21767823360.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{2} \cdot 13 \cdot 31^{3}$ 9.1.6915325248.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{4} \cdot 5^{4} \cdot 11 \cdot 13^{3}$ 9.3.314171000000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{4} \cdot 3^{12} \cdot 31 $ 9.1.28468231488.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{9} \cdot 3^{9} \cdot 29 $ 9.1.63126687744.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 23 \cdot 239^{3}$ 9.3.75044598743.1 $S_3\wr S_3$ $1$ $-2$
$6$ $ 2^{6} \cdot 31^{3} \cdot 173 $ 9.1.10225224512.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{2} \cdot 7 \cdot 229^{3}$ 9.5.77001637468.1 $S_3\wr S_3$ $1$ $2$
$6$ $ 2^{11} \cdot 5^{3} \cdot 11^{3}$ 9.1.14992384000.2 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{12} \cdot 11 $ 9.1.40406522112.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 7^{2} \cdot 11 \cdot 23^{3}$ 9.3.9653395136.1 $S_3\wr S_3$ $1$ $-2$
$6$ $ 2^{6} \cdot 7 \cdot 101^{3}$ 9.3.186476238592.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{6} \cdot 5^{4}$ 9.1.139968000000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{10} \cdot 5^{3}$ 9.1.63772920000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{10} \cdot 19 \cdot 29^{3}$ 9.1.13760859136.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{4} \cdot 29 \cdot 101^{3}$ 9.5.193136104256.1 $S_3\wr S_3$ $1$ $2$
$6$ $ 2^{3} \cdot 3^{6} \cdot 17^{4}$ 9.1.422310907224.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{13} \cdot 5 $ 9.1.123974556480.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 3^{13} \cdot 5 $ 9.1.55099802880.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{10} \cdot 3^{12}$ 9.1.58773123072.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{14} \cdot 5^{4} \cdot 59 $ 9.1.7552000000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{11} \cdot 3^{10} \cdot 5 $ 9.1.65303470080.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{4} \cdot 3^{4} \cdot 7 \cdot 41^{3}$ 9.1.307623645504.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{6} \cdot 5^{4} \cdot 7^{5}$ 9.1.94119200000.1 $S_3\wr S_3$ $1$ $0$
$6$ $ 2^{8} \cdot 3^{12} \cdot 5 $ 9.1.73466403840.1 $S_3\wr S_3$ $1$ $0$
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