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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.9.20.1 $x^{9} + 18 x^{7} + 9 x^{6} + 18 x^{4} + 12 x^{3} + 12$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 9 x^{6} + 18 x^{4} + 12 x^{3} + 12$
3.9.20.10 $x^{9} + 18 x^{7} + 9 x^{4} + 21 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 9 x^{4} + 21 x^{3} + 21$
3.9.20.11 $x^{9} + 3 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 3 x^{3} + 3$
3.9.20.12 $x^{9} + 9 x^{7} + 3 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3 x^{3} + 3$
3.9.20.13 $x^{9} + 9 x^{7} + 9 x^{4} + 12 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{4} + 12 x^{3} + 3$
3.9.20.14 $x^{9} + 18 x^{5} + 3 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{5} + 3 x^{3} + 3$
3.9.20.15 $x^{9} + 18 x^{7} + 18 x^{4} + 12 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 18 x^{4} + 12 x^{3} + 3$
3.9.20.16 $x^{9} + 18 x^{7} + 18 x^{6} + 18 x^{5} + 12 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 18 x^{6} + 18 x^{5} + 12 x^{3} + 21$
3.9.20.17 $x^{9} + 9 x^{8} + 9 x^{7} + 9 x^{6} + 18 x^{4} + 12 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 9 x^{6} + 18 x^{4} + 12 x^{3} + 21$
3.9.20.18 $x^{9} + 9 x^{8} + 18 x^{6} + 9 x^{4} + 21 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{6} + 9 x^{4} + 21 x^{3} + 3$
3.9.20.19 $x^{9} + 18 x^{7} + 3 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 3 x^{3} + 21$
3.9.20.2 $x^{9} + 18 x^{8} + 18 x^{7} + 9 x^{6} + 9 x^{4} + 3 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 9 x^{6} + 9 x^{4} + 3 x^{3} + 3$
3.9.20.20 $x^{9} + 18 x^{7} + 3 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 3 x^{3} + 3$
3.9.20.21 $x^{9} + 18 x^{5} + 3 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{5} + 3 x^{3} + 21$
3.9.20.22 $x^{9} + 9 x^{7} + 18 x^{4} + 21 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 18 x^{4} + 21 x^{3} + 21$
3.9.20.23 $x^{9} + 3 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 3 x^{3} + 21$
3.9.20.24 $x^{9} + 18 x^{6} + 9 x^{4} + 3 x^{3} + 12$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 9 x^{4} + 3 x^{3} + 12$
3.9.20.25 $x^{9} + 18 x^{8} + 9 x^{7} + 18 x^{4} + 3 x^{3} + 12$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 18 x^{4} + 3 x^{3} + 12$
3.9.20.26 $x^{9} + 9 x^{4} + 3 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{4} + 3 x^{3} + 21$
3.9.20.27 $x^{9} + 9 x^{7} + 9 x^{4} + 12 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{4} + 12 x^{3} + 21$
3.9.20.28 $x^{9} + 18 x^{6} + 6 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{6} + 6 x^{3} + 21$
3.9.20.29 $x^{9} + 18 x^{8} + 12 x^{6} + 18 x^{4} + 6 x^{3} + 12$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 12 x^{6} + 18 x^{4} + 6 x^{3} + 12$
3.9.20.3 $x^{9} + 18 x^{8} + 9 x^{4} + 12 x^{3} + 12$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{4} + 12 x^{3} + 12$
3.9.20.30 $x^{9} + 9 x^{8} + 15 x^{6} + 9 x^{4} + 15 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 15 x^{6} + 9 x^{4} + 15 x^{3} + 21$
3.9.20.31 $x^{9} + 24 x^{6} + 9 x^{4} + 15 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 24 x^{6} + 9 x^{4} + 15 x^{3} + 3$
3.9.20.32 $x^{9} + 9 x^{4} + 6 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{4} + 6 x^{3} + 3$
3.9.20.33 $x^{9} + 9 x^{6} + 6 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{6} + 6 x^{3} + 21$
3.9.20.34 $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{5} + 15 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{5} + 15 x^{3} + 3$
3.9.20.35 $x^{9} + 18 x^{4} + 6 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{4} + 6 x^{3} + 21$
3.9.20.36 $x^{9} + 18 x^{7} + 9 x^{6} + 9 x^{5} + 15 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 9 x^{6} + 9 x^{5} + 15 x^{3} + 3$
3.9.20.37 $x^{9} + 18 x^{6} + 6 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{6} + 6 x^{3} + 3$
3.9.20.38 $x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{4} + 6 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{4} + 6 x^{3} + 21$
3.9.20.39 $x^{9} + 18 x^{7} + 12 x^{6} + 18 x^{5} + 18 x^{4} + 6 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 12 x^{6} + 18 x^{5} + 18 x^{4} + 6 x^{3} + 21$
3.9.20.4 $x^{9} + 9 x^{7} + 18 x^{4} + 21 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 18 x^{4} + 21 x^{3} + 3$
3.9.20.40 $x^{9} + 18 x^{8} + 9 x^{7} + 24 x^{6} + 9 x^{4} + 15 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 24 x^{6} + 9 x^{4} + 15 x^{3} + 3$
3.9.20.41 $x^{9} + 18 x^{7} + 18 x^{6} + 9 x^{4} + 6 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 18 x^{6} + 9 x^{4} + 6 x^{3} + 3$
3.9.20.42 $x^{9} + 9 x^{6} + 6 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{6} + 6 x^{3} + 3$
3.9.20.43 $x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 18 x^{4} + 6 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 18 x^{4} + 6 x^{3} + 21$
3.9.20.44 $x^{9} + 9 x^{7} + 24 x^{6} + 9 x^{4} + 15 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 24 x^{6} + 9 x^{4} + 15 x^{3} + 21$
3.9.20.45 $x^{9} + 9 x^{8} + 18 x^{7} + 6 x^{6} + 9 x^{4} + 15 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 6 x^{6} + 9 x^{4} + 15 x^{3} + 21$
3.9.20.46 $x^{9} + 18 x^{8} + 18 x^{7} + 18 x^{6} + 9 x^{5} + 15 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 18 x^{6} + 9 x^{5} + 15 x^{3} + 3$
3.9.20.47 $x^{9} + 18 x^{8} + 24 x^{6} + 18 x^{5} + 9 x^{4} + 15 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 24 x^{6} + 18 x^{5} + 9 x^{4} + 15 x^{3} + 21$
3.9.20.48 $x^{9} + 9 x^{8} + 18 x^{7} + 15 x^{6} + 9 x^{5} + 9 x^{4} + 15 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 15 x^{6} + 9 x^{5} + 9 x^{4} + 15 x^{3} + 3$
3.9.20.49 $x^{9} + 9 x^{7} + 9 x^{6} + 9 x^{4} + 6 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{6} + 9 x^{4} + 6 x^{3} + 3$
3.9.20.5 $x^{9} + 18 x^{7} + 18 x^{6} + 18 x^{4} + 12 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 18 x^{6} + 18 x^{4} + 12 x^{3} + 21$
3.9.20.50 $x^{9} + 6 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 6 x^{3} + 21$
3.9.20.51 $x^{9} + 18 x^{8} + 3 x^{6} + 18 x^{4} + 6 x^{3} + 21$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 3 x^{6} + 18 x^{4} + 6 x^{3} + 21$
3.9.20.52 $x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 18 x^{4} + 6 x^{3} + 12$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 18 x^{4} + 6 x^{3} + 12$
3.9.20.53 $x^{9} + 6 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 6 x^{3} + 3$
3.9.20.54 $x^{9} + 18 x^{8} + 15 x^{6} + 9 x^{4} + 15 x^{3} + 3$ $3$ $9$ $1$ $20$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 15 x^{6} + 9 x^{4} + 15 x^{3} + 3$
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