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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.9.21.1 $x^{9} + 18 x^{4} + 9 x^{3} + 21$ $3$ $9$ $1$ $21$ $C_3^2 : D_{6} $ (as 9T18) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{4} + 9 x^{3} + 21$
3.9.21.10 $x^{9} + 9 x^{7} + 24 x^{6} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 24 x^{6} + 18 x^{4} + 3$
3.9.21.11 $x^{9} + 18 x^{7} + 15 x^{6} + 18 x^{4} + 12$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 15 x^{6} + 18 x^{4} + 12$
3.9.21.12 $x^{9} + 6 x^{6} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 6 x^{6} + 18 x^{4} + 3$
3.9.21.13 $x^{9} + 24 x^{6} + 18 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 24 x^{6} + 18 x^{4} + 21$
3.9.21.14 $x^{9} + 9 x^{7} + 24 x^{6} + 18 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 24 x^{6} + 18 x^{4} + 21$
3.9.21.15 $x^{9} + 18 x^{7} + 24 x^{6} + 18 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 24 x^{6} + 18 x^{4} + 21$
3.9.21.16 $x^{9} + 18 x^{7} + 15 x^{6} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 15 x^{6} + 18 x^{4} + 3$
3.9.21.17 $x^{9} + 18 x^{7} + 24 x^{6} + 18 x^{4} + 12$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 24 x^{6} + 18 x^{4} + 12$
3.9.21.18 $x^{9} + 9 x^{7} + 24 x^{6} + 18 x^{4} + 12$ $3$ $9$ $1$ $21$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 24 x^{6} + 18 x^{4} + 12$
3.9.21.19 $x^{9} + 9 x^{8} + 9 x^{7} + 21 x^{6} + 18 x^{5} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 21 x^{6} + 18 x^{5} + 18 x^{4} + 3$
3.9.21.2 $x^{9} + 18 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $21$ $C_3^2 : D_{6} $ (as 9T18) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{4} + 9 x^{3} + 3$
3.9.21.20 $x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{4} + 3$
3.9.21.21 $x^{9} + 21 x^{6} + 18 x^{4} + 21$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 21 x^{6} + 18 x^{4} + 21$
3.9.21.22 $x^{9} + 18 x^{7} + 12 x^{6} + 18 x^{4} + 21$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 12 x^{6} + 18 x^{4} + 21$
3.9.21.23 $x^{9} + 18 x^{7} + 3 x^{6} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 3 x^{6} + 18 x^{4} + 3$
3.9.21.24 $x^{9} + 18 x^{8} + 21 x^{6} + 18 x^{5} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 21 x^{6} + 18 x^{5} + 18 x^{4} + 3$
3.9.21.25 $x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{4} + 21$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{4} + 21$
3.9.21.26 $x^{9} + 3 x^{6} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{6} + 18 x^{4} + 3$
3.9.21.27 $x^{9} + 18 x^{8} + 12 x^{6} + 9 x^{5} + 18 x^{4} + 21$ $3$ $9$ $1$ $21$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 17/6]$ $[3/2, 2, 5/2, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 12 x^{6} + 9 x^{5} + 18 x^{4} + 21$
3.9.21.28 $x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$
3.9.21.29 $x^{9} + 9 x^{6} + 9 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 9 x^{4} + 3$
3.9.21.3 $x^{9} + 9 x^{5} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $C_3^2 : D_{6} $ (as 9T18) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{5} + 18 x^{4} + 3$
3.9.21.30 $x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$
3.9.21.31 $x^{9} + 9 x^{6} + 9 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 9 x^{4} + 21$
3.9.21.32 $x^{9} + 9 x^{5} + 9 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{5} + 9 x^{4} + 21$
3.9.21.33 $x^{9} + 18 x^{6} + 9 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 9 x^{4} + 3$
3.9.21.34 $x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 21$
3.9.21.35 $x^{9} + 9 x^{4} + 18 x^{3} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{4} + 18 x^{3} + 21$
3.9.21.36 $x^{9} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 3$
3.9.21.37 $x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 21$
3.9.21.38 $x^{9} + 9 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{4} + 3$
3.9.21.39 $x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 21$
3.9.21.4 $x^{9} + 18 x^{4} + 3$ $3$ $9$ $1$ $21$ $C_3^2 : D_{6} $ (as 9T18) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{4} + 3$
3.9.21.40 $x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 3$
3.9.21.41 $x^{9} + 18 x^{5} + 9 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{5} + 9 x^{4} + 21$
3.9.21.42 $x^{9} + 9 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{4} + 21$
3.9.21.43 $x^{9} + 18 x^{5} + 9 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{5} + 9 x^{4} + 3$
3.9.21.44 $x^{9} + 9 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{4} + 9 x^{3} + 3$
3.9.21.45 $x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 21$
3.9.21.46 $x^{9} + 9 x^{5} + 9 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{5} + 9 x^{4} + 3$
3.9.21.47 $x^{9} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 21$
3.9.21.48 $x^{9} + 18 x^{6} + 9 x^{4} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 9 x^{4} + 21$
3.9.21.49 $x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 3$
3.9.21.5 $x^{9} + 18 x^{5} + 18 x^{4} + 21$ $3$ $9$ $1$ $21$ $C_3^2 : D_{6} $ (as 9T18) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{5} + 18 x^{4} + 21$
3.9.21.50 $x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 3$
3.9.21.51 $x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 21$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 21$
3.9.21.52 $x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 3$
3.9.21.53 $x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 3$
3.9.21.54 $x^{9} + 9 x^{6} + 9 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $21$ $(C_3^2:C_3):C_2$ (as 9T12) $[5/2, 8/3]$ $[3/2, 5/2, 8/3]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 9 x^{4} + 9 x^{3} + 3$
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