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Label Polynomial $p$ $f$ $e$ $c$ Galois group $u$ $t$ Visible Artin slopes Visible Swan slopes Artin slope content Swan slope content Hidden Artin slopes Hidden Swan slopes Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia Resid. Poly Jump Set
13.1.13.18a1.1 $x^{13} + 26 x^{6} + 13$ $13$ $1$ $13$ $18$ $D_{13}$ (as 13T2) $1$ $2$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{2}$ $[\frac{1}{2}]_{2}$ $[\ ]_{2}$ $[\ ]_{2}$ $t + 11$ $x^{13} + 26 x^{6} + 13$ $[6, 0]$ $[1]$ $z^6 + 1$ undefined
13.1.13.18a1.2 $x^{13} + 143 x^{6} + 13$ $13$ $1$ $13$ $18$ $D_{13}$ (as 13T2) $1$ $2$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{2}$ $[\frac{1}{2}]_{2}$ $[\ ]_{2}$ $[\ ]_{2}$ $t + 11$ $x^{13} + 143 x^{6} + 13$ $[6, 0]$ $[1]$ $z^6 + 12$ undefined
13.1.13.24a1.1 $x^{13} + 13 x^{12} + 13$ $13$ $1$ $13$ $24$ $D_{13}$ (as 13T2) $2$ $1$ $[2]$ $[1]$ $[2]^{2}$ $[1]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 11$ $x^{13} + 13 x^{12} + 13$ $[12, 0]$ $[2]$ $z^{12} + 1$ undefined
103.1.13.12a1.1 $x^{13} + 103$ $103$ $1$ $13$ $12$ $D_{13}$ (as 13T2) $2$ $13$ $[\ ]$ $[\ ]$ $[\ ]_{13}^{2}$ $[\ ]_{13}^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 98$ $x^{13} + 103$ $[0]$ $[2]$ $z^{12} + 13 z^{11} + 78 z^{10} + 80 z^9 + 97 z^8 + 51 z^7 + 68 z^6 + 68 z^5 + 51 z^4 + 97 z^3 + 80 z^2 + 78 z + 13$ undefined
181.1.13.12a1.1 $x^{13} + 181$ $181$ $1$ $13$ $12$ $D_{13}$ (as 13T2) $2$ $13$ $[\ ]$ $[\ ]$ $[\ ]_{13}^{2}$ $[\ ]_{13}^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 179$ $x^{13} + 181$ $[0]$ $[2]$ $z^{12} + 13 z^{11} + 78 z^{10} + 105 z^9 + 172 z^8 + 20 z^7 + 87 z^6 + 87 z^5 + 20 z^4 + 172 z^3 + 105 z^2 + 78 z + 13$ undefined
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