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Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
13.13.0.1 x13 - x + 2 13 1 13 0 $C_{13}$ (as 13T1) $ [\ ]^{13}$
13.13.13.1 x13 + 13x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.10 x13 + 91x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.11 x13 + 104x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.12 x13 + 143x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.2 x13 + 39x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.3 x13 + 52x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.4 x13 + 117x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.5 x13 + 130x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.6 x13 + 156x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.7 x13 + 26x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.8 x13 + 65x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.13.9 x13 + 78x + 13 13 13 1 13 $F_{13}$ (as 13T6) $ [13/12]_{12}$
13.13.14.1 x13 + 26x2 + 13 13 13 1 14 $C_{13}:C_6$ (as 13T5) $ [7/6]_{6}$
13.13.14.10 x13 + 117x2 + 13 13 13 1 14 $F_{13}$ (as 13T6) $ [7/6]_{6}^{2}$
13.13.14.11 x13 + 130x2 + 13 13 13 1 14 $F_{13}$ (as 13T6) $ [7/6]_{6}^{2}$
13.13.14.12 x13 + 156x2 + 13 13 13 1 14 $F_{13}$ (as 13T6) $ [7/6]_{6}^{2}$
13.13.14.2 x13 + 65x2 + 13 13 13 1 14 $C_{13}:C_6$ (as 13T5) $ [7/6]_{6}$
13.13.14.3 x13 + 78x2 + 13 13 13 1 14 $C_{13}:C_6$ (as 13T5) $ [7/6]_{6}$
13.13.14.4 x13 + 91x2 + 13 13 13 1 14 $C_{13}:C_6$ (as 13T5) $ [7/6]_{6}$
13.13.14.5 x13 + 104x2 + 13 13 13 1 14 $C_{13}:C_6$ (as 13T5) $ [7/6]_{6}$
13.13.14.6 x13 + 143x2 + 13 13 13 1 14 $C_{13}:C_6$ (as 13T5) $ [7/6]_{6}$
13.13.14.7 x13 + 13x2 + 13 13 13 1 14 $F_{13}$ (as 13T6) $ [7/6]_{6}^{2}$
13.13.14.8 x13 + 39x2 + 13 13 13 1 14 $F_{13}$ (as 13T6) $ [7/6]_{6}^{2}$
13.13.14.9 x13 + 52x2 + 13 13 13 1 14 $F_{13}$ (as 13T6) $ [7/6]_{6}^{2}$
13.13.15.1 x13 + 52x3 + 13 13 13 1 15 $C_{13}:C_4$ (as 13T4) $ [5/4]_{4}$
13.13.15.10 x13 + 65x3 + 13 13 13 1 15 $F_{13}$ (as 13T6) $ [5/4]_{4}^{3}$
13.13.15.11 x13 + 104x3 + 13 13 13 1 15 $F_{13}$ (as 13T6) $ [5/4]_{4}^{3}$
13.13.15.12 x13 + 143x3 + 13 13 13 1 15 $F_{13}$ (as 13T6) $ [5/4]_{4}^{3}$
13.13.15.2 x13 + 117x3 + 13 13 13 1 15 $C_{13}:C_4$ (as 13T4) $ [5/4]_{4}$
13.13.15.3 x13 + 13x3 + 13 13 13 1 15 $F_{13}$ (as 13T6) $ [5/4]_{4}^{3}$
13.13.15.4 x13 + 39x3 + 13 13 13 1 15 $F_{13}$ (as 13T6) $ [5/4]_{4}^{3}$
13.13.15.5 x13 + 130x3 + 13 13 13 1 15 $F_{13}$ (as 13T6) $ [5/4]_{4}^{3}$
13.13.15.6 x13 + 156x3 + 13 13 13 1 15 $F_{13}$ (as 13T6) $ [5/4]_{4}^{3}$
13.13.15.7 x13 + 78x3 + 13 13 13 1 15 $C_{13}:C_4$ (as 13T4) $ [5/4]_{4}$
13.13.15.8 x13 + 91x3 + 13 13 13 1 15 $C_{13}:C_4$ (as 13T4) $ [5/4]_{4}$
13.13.15.9 x13 + 26x3 + 13 13 13 1 15 $F_{13}$ (as 13T6) $ [5/4]_{4}^{3}$
13.13.16.1 x13 + 52x4 + 13 13 13 1 16 $C_{13}:C_3$ (as 13T3) $ [4/3]_{3}$
13.13.16.10 x13 + 91x4 + 13 13 13 1 16 $F_{13}$ (as 13T6) $ [4/3]_{3}^{4}$
13.13.16.11 x13 + 104x4 + 13 13 13 1 16 $F_{13}$ (as 13T6) $ [4/3]_{3}^{4}$
13.13.16.12 x13 + 143x4 + 13 13 13 1 16 $F_{13}$ (as 13T6) $ [4/3]_{3}^{4}$
13.13.16.2 x13 + 130x4 + 13 13 13 1 16 $C_{13}:C_3$ (as 13T3) $ [4/3]_{3}$
13.13.16.3 x13 + 156x4 + 13 13 13 1 16 $C_{13}:C_3$ (as 13T3) $ [4/3]_{3}$
13.13.16.4 x13 + 13x4 + 13 13 13 1 16 $C_{13}:C_6$ (as 13T5) $ [4/3]_{3}^{2}$
13.13.16.5 x13 + 39x4 + 13 13 13 1 16 $C_{13}:C_6$ (as 13T5) $ [4/3]_{3}^{2}$
13.13.16.6 x13 + 117x4 + 13 13 13 1 16 $C_{13}:C_6$ (as 13T5) $ [4/3]_{3}^{2}$
13.13.16.7 x13 + 26x4 + 13 13 13 1 16 $F_{13}$ (as 13T6) $ [4/3]_{3}^{4}$
13.13.16.8 x13 + 65x4 + 13 13 13 1 16 $F_{13}$ (as 13T6) $ [4/3]_{3}^{4}$
13.13.16.9 x13 + 78x4 + 13 13 13 1 16 $F_{13}$ (as 13T6) $ [4/3]_{3}^{4}$
13.13.17.1 x13 + 26x5 + 13 13 13 1 17 $F_{13}$ (as 13T6) $ [17/12]_{12}$
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