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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
$3$ $ 2^{2} \cdot 19^{2}$ 4.2.27436.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 11^{2}$ 4.2.21296.1 $S_4$ $1$ $-1$
$3$ $ 3^{2} \cdot 17^{2}$ 4.2.7803.1 $S_4$ $1$ $-1$
$3$ $ 59^{2}$ 4.2.205379.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 3^{2} \cdot 5^{2}$ 4.2.10800.2 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 5^{2} \cdot 7^{2}$ 4.2.171500.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 37^{2}$ 4.0.202612.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 13^{2}$ 4.2.18252.1 $S_4$ $1$ $-1$
$3$ $ 2^{8} \cdot 5^{2}$ 4.2.51200.2 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 3^{2} \cdot 7^{2}$ 4.2.21168.2 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 43^{2}$ 4.2.318028.1 $S_4$ $1$ $-1$
$3$ $ 3^{2} \cdot 29^{2}$ 4.2.73167.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{4} \cdot 5^{2}$ 4.0.40500.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 23^{2}$ 4.2.2116.1 $S_4$ $1$ $-1$
$3$ $ 3^{2} \cdot 31^{2}$ 4.2.268119.1 $S_4$ $1$ $-1$
$3$ $ 3^{4} \cdot 11^{2}$ 4.2.107811.1 $S_4$ $1$ $-1$
$3$ $ 3^{4} \cdot 11^{2}$ 4.2.3267.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 17^{2}$ 4.2.530604.1 $S_4$ $1$ $-1$
$3$ $ 3^{2} \cdot 5^{2} \cdot 7^{2}$ 4.2.77175.1 $S_4$ $1$ $-1$
$3$ $ 107^{2}$ 4.2.1225043.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 3^{6}$ 4.2.3888.1 $S_4$ $1$ $-1$
$3$ $ 3^{2} \cdot 37^{2}$ 4.2.36963.1 $S_4$ $1$ $-1$
$3$ $ 5^{2} \cdot 23^{2}$ 4.2.304175.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{4} \cdot 7^{2}$ 4.0.37044.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 5^{2} \cdot 13^{2}$ 4.0.219700.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 3^{2} \cdot 11^{2}$ 4.2.52272.1 $S_4$ $1$ $-1$
$3$ $ 3^{6} \cdot 5^{2}$ 4.2.6075.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 3^{2} \cdot 23^{2}$ 4.2.57132.1 $S_4$ $1$ $-1$
$3$ $ 139^{2}$ 4.2.2685619.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 5^{2} \cdot 7^{2}$ 4.2.27440.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 5^{2} \cdot 7^{2}$ 4.2.14000.1 $S_4$ $1$ $-1$
$3$ $ 11^{2} \cdot 13^{2}$ 4.0.265837.1 $S_4$ $1$ $-1$
$3$ $ 2^{8} \cdot 3^{4}$ 4.2.6912.2 $S_4$ $1$ $-1$
$3$ $ 2^{8} \cdot 3^{4}$ 4.2.165888.1 $S_4$ $1$ $-1$
$3$ $ 2^{8} \cdot 3^{4}$ 4.2.55296.2 $S_4$ $1$ $-1$
$3$ $ 2^{8} \cdot 3^{4}$ 4.2.5184.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 37^{2}$ 4.0.810448.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 37^{2}$ 4.2.5476.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 37^{2}$ 4.0.592.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 7^{2} \cdot 11^{2}$ 4.2.260876.1 $S_4$ $1$ $-1$
$3$ $ 3^{2} \cdot 53^{2}$ 4.2.75843.1 $S_4$ $1$ $-1$
$3$ $ 2^{10} \cdot 5^{2}$ 4.2.12800.1 $S_4$ $1$ $-1$
$3$ $ 2^{10} \cdot 5^{2}$ 4.2.51200.1 $S_4$ $1$ $-1$
$3$ $ 7^{2} \cdot 23^{2}$ 4.2.596183.1 $S_4$ $1$ $-1$
$3$ $ 3^{2} \cdot 5^{2} \cdot 11^{2}$ 4.2.45375.1 $S_4$ $1$ $-1$
$3$ $ 3^{2} \cdot 5^{2} \cdot 11^{2}$ 4.2.81675.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 5^{2} \cdot 17^{2}$ 4.0.144500.2 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 5^{2} \cdot 17^{2}$ 4.0.144500.1 $S_4$ $1$ $-1$
$3$ $ 2^{2} \cdot 5^{2} \cdot 17^{2}$ 4.0.5780.1 $S_4$ $1$ $-1$
$3$ $ 2^{4} \cdot 43^{2}$ 4.2.1272112.1 $S_4$ $1$ $-1$
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