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Results (1-50 of 10123 matches)
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Pari/GP
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Galois conjugate representations are grouped into single lines.
Label
Dimension
Conductor
Ramified prime count
Artin stem field
$G$
Projective image
Container
Ind
$\chi(c)$
12.144...376.18t218.a.a
$12$
$ 2^{10} \cdot 269^{5}$
$2$
9.5.1340445266176.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$0$
12.731...449.18t218.a.a
$12$
$ 1489^{5}$
$1$
9.5.4915625528641.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$0$
12.912...776.18t218.a.a
$12$
$ 2^{10} \cdot 389^{5}$
$2$
9.5.5861899530496.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$0$
12.127...016.18t206.a.a
$12$
$ 2^{6} \cdot 7^{10} \cdot 29^{4}$
$3$
9.5.10699470656.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.198...088.18t315.a.a
$12$
$ 2^{10} \cdot 23^{4} \cdot 37^{5}$
$3$
9.3.11035059968.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$0$
12.258...624.18t315.a.a
$12$
$ 2^{10} \cdot 7^{4} \cdot 101^{5}$
$3$
9.3.186476238592.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$0$
12.369...344.18t315.a.a
$12$
$ 2^{6} \cdot 31^{5} \cdot 67^{4}$
$3$
9.1.127743808.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.381...416.18t315.a.a
$12$
$ 2^{6} \cdot 3^{6} \cdot 13^{4} \cdot 31^{5}$
$4$
9.1.6915325248.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.415...448.18t315.a.a
$12$
$ 2^{10} \cdot 3^{15} \cdot 41^{4}$
$3$
9.1.5578004736.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.428...752.18t315.a.a
$12$
$ 2^{6} \cdot 23^{5} \cdot 101^{4}$
$3$
9.1.1808892224.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.492...099.18t218.a.a
$12$
$ 7^{6} \cdot 211^{5}$
$2$
9.1.97123852609.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.498...241.18t315.a.a
$12$
$ 3^{5} \cdot 11^{4} \cdot 107^{5}$
$3$
9.5.38930641497.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$0$
12.539...152.18t315.a.a
$12$
$ 2^{6} \cdot 23^{5} \cdot 107^{4}$
$3$
9.1.83319616.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.567...443.18t218.a.a
$12$
$ 2243^{5}$
$1$
9.1.25311454040401.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.632...019.18t315.a.a
$12$
$ 59^{5} \cdot 97^{4}$
$2$
9.1.1175384017.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.655...328.18t315.a.a
$12$
$ 2^{10} \cdot 31^{4} \cdot 37^{5}$
$3$
9.3.14873341696.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$0$
12.886...081.18t206.a.a
$12$
$ 3^{20} \cdot 71^{4}$
$2$
9.3.3056317191.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.118...757.18t218.a.a
$12$
$ 7^{10} \cdot 53^{5}$
$2$
9.5.45487052759281.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$0$
12.118...000.24t2821.a.a
$12$
$ 2^{16} \cdot 5^{6} \cdot 41^{5}$
$3$
8.4.11027360000.1
$S_4\wr C_2$
$S_4\wr C_2$
$S_4\wr C_2$
$1$
$0$
12.123...099.18t218.a.a
$12$
$ 3^{15} \cdot 97^{5}$
$2$
9.1.47048089623921.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.137...016.18t315.a.a
$12$
$ 2^{16} \cdot 3^{4} \cdot 11^{10}$
$3$
9.1.164627620608.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.139...000.18t315.a.a
$12$
$ 2^{18} \cdot 3^{4} \cdot 5^{8} \cdot 7^{5}$
$4$
9.1.7203000000.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.161...824.18t218.a.a
$12$
$ 2^{10} \cdot 691^{5}$
$2$
9.1.58364954972416.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.162...607.18t218.a.a
$12$
$ 2767^{5}$
$1$
9.1.58618761251521.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.164...000.18t206.a.a
$12$
$ 2^{6} \cdot 5^{6} \cdot 7^{8} \cdot 13^{4}$
$4$
9.5.1529437000000.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.165...456.18t315.a.a
$12$
$ 2^{18} \cdot 229^{5}$
$2$
9.3.176003742784.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$0$
12.171...241.18t206.a.a
$12$
$ 11^{4} \cdot 43^{8}$
$2$
9.3.69534993539.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.192...584.18t315.a.a
$12$
$ 2^{14} \cdot 3^{5} \cdot 137^{5}$
$3$
9.1.152182955952.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.201...875.18t218.a.a
$12$
$ 5^{6} \cdot 419^{5}$
$2$
9.1.770541618025.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.203...752.18t315.a.a
$12$
$ 2^{6} \cdot 23^{5} \cdot 149^{4}$
$3$
9.1.2668563776.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.212...409.18t206.a.a
$12$
$ 3^{26} \cdot 17^{4}$
$2$
9.5.6586148313.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.218...359.18t315.a.a
$12$
$ 23^{4} \cdot 239^{5}$
$2$
9.3.75044598743.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.218...641.18t206.a.a
$12$
$ 3^{20} \cdot 89^{4}$
$2$
9.5.3831158169.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.219...929.18t206.a.a
$12$
$ 7^{10} \cdot 167^{4}$
$2$
9.3.962721767.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.220...943.18t218.a.a
$12$
$ 3^{15} \cdot 109^{5}$
$2$
9.1.102904299369.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.223...504.18t206.a.a
$12$
$ 2^{18} \cdot 31^{8}$
$2$
9.3.28400117792.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.224...656.18t315.a.a
$12$
$ 2^{10} \cdot 19^{5} \cdot 97^{4}$
$3$
9.1.3236131072.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.250...352.18t315.a.a
$12$
$ 2^{6} \cdot 23^{5} \cdot 157^{4}$
$3$
9.1.2811842368.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.253...019.18t315.a.a
$12$
$ 47^{4} \cdot 139^{5}$
$2$
9.3.17545148927.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.270...625.18t206.a.a
$12$
$ 3^{12} \cdot 5^{4} \cdot 13^{8}$
$3$
9.5.12825821008845.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.289...375.18t315.a.a
$12$
$ 5^{5} \cdot 7^{4} \cdot 131^{5}$
$3$
9.1.1967079625.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.317...384.18t315.a.a
$12$
$ 2^{24} \cdot 7^{6} \cdot 11^{5}$
$3$
9.1.5877014528.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.331...609.18t206.a.a
$12$
$ 3^{26} \cdot 19^{4}$
$2$
9.5.22082967873.1
$S_3 \wr C_3 $
$S_3\wr C_3$
$S_3\wr C_3$
$1$
$0$
12.332...976.18t315.a.a
$12$
$ 2^{10} \cdot 19^{5} \cdot 107^{4}$
$3$
9.1.187881728.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.332...856.18t315.a.a
$12$
$ 2^{15} \cdot 3^{15} \cdot 29^{4}$
$3$
9.1.63126687744.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
12.335...000.18t218.a.a
$12$
$ 2^{35} \cdot 5^{10}$
$2$
9.1.25600000000.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.335...000.36t1123.a.a
$12$
$ 2^{35} \cdot 5^{10}$
$2$
9.1.25600000000.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$-2$
12.372...107.18t218.a.a
$12$
$ 3^{15} \cdot 11^{10}$
$2$
9.1.113919098077521.1
$(((C_3 \times (C_3^2 : C_2)) : C_2) : C_3) : C_2$
$C_3^3:S_4$
$C_3^3:S_4$
$1$
$2$
12.373...032.36t2216.a.a
$12$
$ 2^{10} \cdot 3^{17} \cdot 41^{4}$
$3$
9.1.5578004736.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$-2$
12.385...144.18t315.a.a
$12$
$ 2^{8} \cdot 19^{5} \cdot 157^{4}$
$3$
9.1.1309465408.1
$S_3\wr S_3$
$S_3\wr S_3$
$S_3\wr S_3$
$1$
$2$
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Pari/GP
SageMath
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Oscar
CSV