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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
12.144...376.18t218.a.a $12$ $ 2^{10} \cdot 269^{5}$ 9.5.1340445266176.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
12.731...449.18t218.a.a $12$ $ 1489^{5}$ 9.5.4915625528641.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
12.912...776.18t218.a.a $12$ $ 2^{10} \cdot 389^{5}$ 9.5.5861899530496.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
12.127...016.18t206.a.a $12$ $ 2^{6} \cdot 7^{10} \cdot 29^{4}$ 9.5.10699470656.1 $S_3 \wr C_3 $ $1$ $0$
12.198...088.18t315.a.a $12$ $ 2^{10} \cdot 23^{4} \cdot 37^{5}$ 9.3.11035059968.1 $S_3\wr S_3$ $1$ $0$
12.258...624.18t315.a.a $12$ $ 2^{10} \cdot 7^{4} \cdot 101^{5}$ 9.3.186476238592.1 $S_3\wr S_3$ $1$ $0$
12.369...344.18t315.a.a $12$ $ 2^{6} \cdot 31^{5} \cdot 67^{4}$ 9.1.127743808.1 $S_3\wr S_3$ $1$ $2$
12.381...416.18t315.a.a $12$ $ 2^{6} \cdot 3^{6} \cdot 13^{4} \cdot 31^{5}$ 9.1.6915325248.1 $S_3\wr S_3$ $1$ $2$
12.415...448.18t315.a.a $12$ $ 2^{10} \cdot 3^{15} \cdot 41^{4}$ 9.1.5578004736.1 $S_3\wr S_3$ $1$ $2$
12.428...752.18t315.a.a $12$ $ 2^{6} \cdot 23^{5} \cdot 101^{4}$ 9.1.1808892224.1 $S_3\wr S_3$ $1$ $2$
12.492...099.18t218.a.a $12$ $ 7^{6} \cdot 211^{5}$ 9.1.97123852609.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.498...241.18t315.a.a $12$ $ 3^{5} \cdot 11^{4} \cdot 107^{5}$ 9.5.38930641497.1 $S_3\wr S_3$ $1$ $0$
12.539...152.18t315.a.a $12$ $ 2^{6} \cdot 23^{5} \cdot 107^{4}$ 9.1.83319616.1 $S_3\wr S_3$ $1$ $2$
12.567...443.18t218.a.a $12$ $ 2243^{5}$ 9.1.25311454040401.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.632...019.18t315.a.a $12$ $ 59^{5} \cdot 97^{4}$ 9.1.1175384017.1 $S_3\wr S_3$ $1$ $2$
12.655...328.18t315.a.a $12$ $ 2^{10} \cdot 31^{4} \cdot 37^{5}$ 9.3.14873341696.1 $S_3\wr S_3$ $1$ $0$
12.886...081.18t206.a.a $12$ $ 3^{20} \cdot 71^{4}$ 9.3.3056317191.1 $S_3 \wr C_3 $ $1$ $0$
12.118...757.18t218.a.a $12$ $ 7^{10} \cdot 53^{5}$ 9.5.45487052759281.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $0$
12.118...000.24t2821.a.a $12$ $ 2^{16} \cdot 5^{6} \cdot 41^{5}$ 8.4.11027360000.1 $S_4\wr C_2$ $1$ $0$
12.123...099.18t218.a.a $12$ $ 3^{15} \cdot 97^{5}$ 9.1.47048089623921.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.137...016.18t315.a.a $12$ $ 2^{16} \cdot 3^{4} \cdot 11^{10}$ 9.1.164627620608.1 $S_3\wr S_3$ $1$ $2$
12.139...000.18t315.a.a $12$ $ 2^{18} \cdot 3^{4} \cdot 5^{8} \cdot 7^{5}$ 9.1.7203000000.1 $S_3\wr S_3$ $1$ $2$
12.161...824.18t218.a.a $12$ $ 2^{10} \cdot 691^{5}$ 9.1.58364954972416.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.162...607.18t218.a.a $12$ $ 2767^{5}$ 9.1.58618761251521.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.164...000.18t206.a.a $12$ $ 2^{6} \cdot 5^{6} \cdot 7^{8} \cdot 13^{4}$ 9.5.1529437000000.1 $S_3 \wr C_3 $ $1$ $0$
12.165...456.18t315.a.a $12$ $ 2^{18} \cdot 229^{5}$ 9.3.176003742784.1 $S_3\wr S_3$ $1$ $0$
12.171...241.18t206.a.a $12$ $ 11^{4} \cdot 43^{8}$ 9.3.69534993539.1 $S_3 \wr C_3 $ $1$ $0$
12.192...584.18t315.a.a $12$ $ 2^{14} \cdot 3^{5} \cdot 137^{5}$ 9.1.152182955952.1 $S_3\wr S_3$ $1$ $2$
12.201...875.18t218.a.a $12$ $ 5^{6} \cdot 419^{5}$ 9.1.770541618025.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.203...752.18t315.a.a $12$ $ 2^{6} \cdot 23^{5} \cdot 149^{4}$ 9.1.2668563776.1 $S_3\wr S_3$ $1$ $2$
12.212...409.18t206.a.a $12$ $ 3^{26} \cdot 17^{4}$ 9.5.6586148313.1 $S_3 \wr C_3 $ $1$ $0$
12.218...359.18t315.a.a $12$ $ 23^{4} \cdot 239^{5}$ 9.3.75044598743.1 $S_3\wr S_3$ $1$ $2$
12.218...641.18t206.a.a $12$ $ 3^{20} \cdot 89^{4}$ 9.5.3831158169.1 $S_3 \wr C_3 $ $1$ $0$
12.219...929.18t206.a.a $12$ $ 7^{10} \cdot 167^{4}$ 9.3.962721767.1 $S_3 \wr C_3 $ $1$ $0$
12.220...943.18t218.a.a $12$ $ 3^{15} \cdot 109^{5}$ 9.1.102904299369.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.223...504.18t206.a.a $12$ $ 2^{18} \cdot 31^{8}$ 9.3.28400117792.1 $S_3 \wr C_3 $ $1$ $0$
12.224...656.18t315.a.a $12$ $ 2^{10} \cdot 19^{5} \cdot 97^{4}$ 9.1.3236131072.1 $S_3\wr S_3$ $1$ $2$
12.250...352.18t315.a.a $12$ $ 2^{6} \cdot 23^{5} \cdot 157^{4}$ 9.1.2811842368.1 $S_3\wr S_3$ $1$ $2$
12.253...019.18t315.a.a $12$ $ 47^{4} \cdot 139^{5}$ 9.3.17545148927.1 $S_3\wr S_3$ $1$ $2$
12.270...625.18t206.a.a $12$ $ 3^{12} \cdot 5^{4} \cdot 13^{8}$ 9.5.12825821008845.1 $S_3 \wr C_3 $ $1$ $0$
12.289...375.18t315.a.a $12$ $ 5^{5} \cdot 7^{4} \cdot 131^{5}$ 9.1.1967079625.1 $S_3\wr S_3$ $1$ $2$
12.317...384.18t315.a.a $12$ $ 2^{24} \cdot 7^{6} \cdot 11^{5}$ 9.1.5877014528.1 $S_3\wr S_3$ $1$ $2$
12.331...609.18t206.a.a $12$ $ 3^{26} \cdot 19^{4}$ 9.5.22082967873.1 $S_3 \wr C_3 $ $1$ $0$
12.332...976.18t315.a.a $12$ $ 2^{10} \cdot 19^{5} \cdot 107^{4}$ 9.1.187881728.1 $S_3\wr S_3$ $1$ $2$
12.332...856.18t315.a.a $12$ $ 2^{15} \cdot 3^{15} \cdot 29^{4}$ 9.1.63126687744.1 $S_3\wr S_3$ $1$ $2$
12.335...000.36t1123.a.a $12$ $ 2^{35} \cdot 5^{10}$ 9.1.25600000000.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $-2$
12.335...000.18t218.a.a $12$ $ 2^{35} \cdot 5^{10}$ 9.1.25600000000.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.372...107.18t218.a.a $12$ $ 3^{15} \cdot 11^{10}$ 9.1.113919098077521.1 $(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$ $1$ $2$
12.373...032.36t2216.a.a $12$ $ 2^{10} \cdot 3^{17} \cdot 41^{4}$ 9.1.5578004736.1 $S_3\wr S_3$ $1$ $-2$
12.385...144.18t315.a.a $12$ $ 2^{8} \cdot 19^{5} \cdot 157^{4}$ 9.1.1309465408.1 $S_3\wr S_3$ $1$ $2$
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