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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
11.11.0.1 $x^{11} + 10 x + 9$ $11$ $1$ $11$ $0$ $C_{11}$ (as 11T1) $[\ ]$ $[\ ]^{11}$ $t^{11} + 10 t + 9$ $x - 11$
11.11.11.1 $x^{11} + 110 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 110 x + 11$
11.11.11.10 $x^{11} + 33 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 33 x + 11$
11.11.11.2 $x^{11} + 88 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 88 x + 11$
11.11.11.3 $x^{11} + 66 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 66 x + 11$
11.11.11.4 $x^{11} + 77 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 77 x + 11$
11.11.11.5 $x^{11} + 22 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 22 x + 11$
11.11.11.6 $x^{11} + 11 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 11 x + 11$
11.11.11.7 $x^{11} + 44 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 44 x + 11$
11.11.11.8 $x^{11} + 55 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 55 x + 11$
11.11.11.9 $x^{11} + 99 x + 11$ $11$ $11$ $1$ $11$ $F_{11}$ (as 11T4) $[11/10]$ $[11/10]_{10}$ $t + 9$ $x^{11} + 99 x + 11$
11.11.12.1 $x^{11} + 88 x^{2} + 11$ $11$ $11$ $1$ $12$ $C_{11}:C_5$ (as 11T3) $[6/5]$ $[6/5]_{5}$ $t + 9$ $x^{11} + 88 x^{2} + 11$
11.11.12.10 $x^{11} + 55 x^{2} + 11$ $11$ $11$ $1$ $12$ $F_{11}$ (as 11T4) $[6/5]$ $[6/5]_{5}^{2}$ $t + 9$ $x^{11} + 55 x^{2} + 11$
11.11.12.2 $x^{11} + 22 x^{2} + 11$ $11$ $11$ $1$ $12$ $C_{11}:C_5$ (as 11T3) $[6/5]$ $[6/5]_{5}$ $t + 9$ $x^{11} + 22 x^{2} + 11$
11.11.12.3 $x^{11} + 77 x^{2} + 11$ $11$ $11$ $1$ $12$ $C_{11}:C_5$ (as 11T3) $[6/5]$ $[6/5]_{5}$ $t + 9$ $x^{11} + 77 x^{2} + 11$
11.11.12.4 $x^{11} + 110 x^{2} + 11$ $11$ $11$ $1$ $12$ $C_{11}:C_5$ (as 11T3) $[6/5]$ $[6/5]_{5}$ $t + 9$ $x^{11} + 110 x^{2} + 11$
11.11.12.5 $x^{11} + 66 x^{2} + 11$ $11$ $11$ $1$ $12$ $C_{11}:C_5$ (as 11T3) $[6/5]$ $[6/5]_{5}$ $t + 9$ $x^{11} + 66 x^{2} + 11$
11.11.12.6 $x^{11} + 33 x^{2} + 11$ $11$ $11$ $1$ $12$ $F_{11}$ (as 11T4) $[6/5]$ $[6/5]_{5}^{2}$ $t + 9$ $x^{11} + 33 x^{2} + 11$
11.11.12.7 $x^{11} + 11 x^{2} + 11$ $11$ $11$ $1$ $12$ $F_{11}$ (as 11T4) $[6/5]$ $[6/5]_{5}^{2}$ $t + 9$ $x^{11} + 11 x^{2} + 11$
11.11.12.8 $x^{11} + 44 x^{2} + 11$ $11$ $11$ $1$ $12$ $F_{11}$ (as 11T4) $[6/5]$ $[6/5]_{5}^{2}$ $t + 9$ $x^{11} + 44 x^{2} + 11$
11.11.12.9 $x^{11} + 99 x^{2} + 11$ $11$ $11$ $1$ $12$ $F_{11}$ (as 11T4) $[6/5]$ $[6/5]_{5}^{2}$ $t + 9$ $x^{11} + 99 x^{2} + 11$
11.11.13.1 $x^{11} + 22 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 22 x^{3} + 11$
11.11.13.10 $x^{11} + 99 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 99 x^{3} + 11$
11.11.13.2 $x^{11} + 88 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 88 x^{3} + 11$
11.11.13.3 $x^{11} + 66 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 66 x^{3} + 11$
11.11.13.4 $x^{11} + 77 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 77 x^{3} + 11$
11.11.13.5 $x^{11} + 110 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 110 x^{3} + 11$
11.11.13.6 $x^{11} + 44 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 44 x^{3} + 11$
11.11.13.7 $x^{11} + 33 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 33 x^{3} + 11$
11.11.13.8 $x^{11} + 55 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 55 x^{3} + 11$
11.11.13.9 $x^{11} + 11 x^{3} + 11$ $11$ $11$ $1$ $13$ $F_{11}$ (as 11T4) $[13/10]$ $[13/10]_{10}$ $t + 9$ $x^{11} + 11 x^{3} + 11$
11.11.14.1 $x^{11} + 33 x^{4} + 11$ $11$ $11$ $1$ $14$ $C_{11}:C_5$ (as 11T3) $[7/5]$ $[7/5]_{5}$ $t + 9$ $x^{11} + 33 x^{4} + 11$
11.11.14.10 $x^{11} + 22 x^{4} + 11$ $11$ $11$ $1$ $14$ $F_{11}$ (as 11T4) $[7/5]$ $[7/5]_{5}^{2}$ $t + 9$ $x^{11} + 22 x^{4} + 11$
11.11.14.2 $x^{11} + 55 x^{4} + 11$ $11$ $11$ $1$ $14$ $C_{11}:C_5$ (as 11T3) $[7/5]$ $[7/5]_{5}$ $t + 9$ $x^{11} + 55 x^{4} + 11$
11.11.14.3 $x^{11} + 11 x^{4} + 11$ $11$ $11$ $1$ $14$ $C_{11}:C_5$ (as 11T3) $[7/5]$ $[7/5]_{5}$ $t + 9$ $x^{11} + 11 x^{4} + 11$
11.11.14.4 $x^{11} + 44 x^{4} + 11$ $11$ $11$ $1$ $14$ $C_{11}:C_5$ (as 11T3) $[7/5]$ $[7/5]_{5}$ $t + 9$ $x^{11} + 44 x^{4} + 11$
11.11.14.5 $x^{11} + 99 x^{4} + 11$ $11$ $11$ $1$ $14$ $C_{11}:C_5$ (as 11T3) $[7/5]$ $[7/5]_{5}$ $t + 9$ $x^{11} + 99 x^{4} + 11$
11.11.14.6 $x^{11} + 66 x^{4} + 11$ $11$ $11$ $1$ $14$ $F_{11}$ (as 11T4) $[7/5]$ $[7/5]_{5}^{2}$ $t + 9$ $x^{11} + 66 x^{4} + 11$
11.11.14.7 $x^{11} + 110 x^{4} + 11$ $11$ $11$ $1$ $14$ $F_{11}$ (as 11T4) $[7/5]$ $[7/5]_{5}^{2}$ $t + 9$ $x^{11} + 110 x^{4} + 11$
11.11.14.8 $x^{11} + 77 x^{4} + 11$ $11$ $11$ $1$ $14$ $F_{11}$ (as 11T4) $[7/5]$ $[7/5]_{5}^{2}$ $t + 9$ $x^{11} + 77 x^{4} + 11$
11.11.14.9 $x^{11} + 88 x^{4} + 11$ $11$ $11$ $1$ $14$ $F_{11}$ (as 11T4) $[7/5]$ $[7/5]_{5}^{2}$ $t + 9$ $x^{11} + 88 x^{4} + 11$
11.11.15.1 $x^{11} + 22 x^{5} + 11$ $11$ $11$ $1$ $15$ $D_{11}$ (as 11T2) $[3/2]$ $[3/2]_{2}$ $t + 9$ $x^{11} + 22 x^{5} + 11$
11.11.15.10 $x^{11} + 55 x^{5} + 11$ $11$ $11$ $1$ $15$ $F_{11}$ (as 11T4) $[3/2]$ $[3/2]_{2}^{5}$ $t + 9$ $x^{11} + 55 x^{5} + 11$
11.11.15.2 $x^{11} + 88 x^{5} + 11$ $11$ $11$ $1$ $15$ $F_{11}$ (as 11T4) $[3/2]$ $[3/2]_{2}^{5}$ $t + 9$ $x^{11} + 88 x^{5} + 11$
11.11.15.3 $x^{11} + 110 x^{5} + 11$ $11$ $11$ $1$ $15$ $F_{11}$ (as 11T4) $[3/2]$ $[3/2]_{2}^{5}$ $t + 9$ $x^{11} + 110 x^{5} + 11$
11.11.15.4 $x^{11} + 77 x^{5} + 11$ $11$ $11$ $1$ $15$ $F_{11}$ (as 11T4) $[3/2]$ $[3/2]_{2}^{5}$ $t + 9$ $x^{11} + 77 x^{5} + 11$
11.11.15.5 $x^{11} + 66 x^{5} + 11$ $11$ $11$ $1$ $15$ $F_{11}$ (as 11T4) $[3/2]$ $[3/2]_{2}^{5}$ $t + 9$ $x^{11} + 66 x^{5} + 11$
11.11.15.6 $x^{11} + 99 x^{5} + 11$ $11$ $11$ $1$ $15$ $D_{11}$ (as 11T2) $[3/2]$ $[3/2]_{2}$ $t + 9$ $x^{11} + 99 x^{5} + 11$
11.11.15.7 $x^{11} + 11 x^{5} + 11$ $11$ $11$ $1$ $15$ $F_{11}$ (as 11T4) $[3/2]$ $[3/2]_{2}^{5}$ $t + 9$ $x^{11} + 11 x^{5} + 11$
11.11.15.8 $x^{11} + 33 x^{5} + 11$ $11$ $11$ $1$ $15$ $F_{11}$ (as 11T4) $[3/2]$ $[3/2]_{2}^{5}$ $t + 9$ $x^{11} + 33 x^{5} + 11$
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