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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) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{4} + 12 x^{3} + 21$
3.9.20.3 $x^{9} + 18 x^{8} + 9 x^{4} + 12 x^{3} + 12$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{4} + 12 x^{3} + 12$
3.9.20.4 $x^{9} + 9 x^{7} + 18 x^{4} + 21 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 18 x^{4} + 21 x^{3} + 3$
3.9.20.5 $x^{9} + 18 x^{7} + 18 x^{6} + 18 x^{4} + 12 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 18 x^{6} + 18 x^{4} + 12 x^{3} + 21$
3.9.20.6 $x^{9} + 18 x^{4} + 3 x^{3} + 3$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 18 x^{4} + 3 x^{3} + 3$
3.9.20.7 $x^{9} + 9 x^{8} + 9 x^{6} + 9 x^{4} + 21 x^{3} + 12$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{6} + 9 x^{4} + 21 x^{3} + 12$
3.9.20.8 $x^{9} + 9 x^{8} + 18 x^{6} + 18 x^{4} + 21 x^{3} + 12$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{6} + 18 x^{4} + 21 x^{3} + 12$
3.9.20.9 $x^{9} + 9 x^{7} + 9 x^{6} + 18 x^{5} + 12 x^{3} + 21$ $3$ $9$ $1$ $20$ $(C_3^3:C_3):C_2$ (as 9T21) $[3/2, 17/6]$ $[3/2, 5/2, 8/3, 17/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{6} + 18 x^{5} + 12 x^{3} + 21$
3.9.24.1 $x^{9} + 9 x^{7} + 54 x + 75$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 54 x + 75$
3.9.24.10 $x^{9} + 9 x^{8} + 9 x^{7} + 54 x + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 54 x + 3$
3.9.24.11 $x^{9} + 18 x^{8} + 9 x^{7} + 9 x^{6} + 54 x^{2} + 54 x + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 9 x^{6} + 54 x^{2} + 54 x + 3$
3.9.24.12 $x^{9} + 9 x^{7} + 18 x^{3} + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 18 x^{3} + 3$
3.9.24.13 $x^{9} + 9 x^{7} + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3$
3.9.24.14 $x^{9} + 9 x^{7} + 75$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 75$
3.9.24.15 $x^{9} + 9 x^{7} + 9 x^{3} + 27 x + 75$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{3} + 27 x + 75$
3.9.24.16 $x^{9} + 9 x^{7} + 18 x^{3} + 54 x + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 18 x^{3} + 54 x + 3$
3.9.24.17 $x^{9} + 9 x^{7} + 18 x^{3} + 54 x + 75$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 18 x^{3} + 54 x + 75$
3.9.24.18 $x^{9} + 9 x^{7} + 18 x^{3} + 27 x + 75$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 18 x^{3} + 27 x + 75$
3.9.24.19 $x^{9} + 18 x^{8} + 9 x^{7} + 18 x^{3} + 54 x^{2} + 30$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 18 x^{3} + 54 x^{2} + 30$
3.9.24.2 $x^{9} + 18 x^{8} + 9 x^{7} + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 3$
3.9.24.20 $x^{9} + 18 x^{8} + 9 x^{7} + 27 x^{2} + 27 x + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 27 x^{2} + 27 x + 3$
3.9.24.21 $x^{9} + 9 x^{8} + 9 x^{7} + 75$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 75$
3.9.24.22 $x^{9} + 9 x^{7} + 9 x^{3} + 27 x + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{3} + 27 x + 3$
3.9.24.23 $x^{9} + 9 x^{8} + 9 x^{7} + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 3$
3.9.24.24 $x^{9} + 9 x^{8} + 9 x^{7} + 18 x^{3} + 54 x^{2} + 27 x + 12$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 18 x^{3} + 54 x^{2} + 27 x + 12$
3.9.24.25 $x^{9} + 9 x^{7} + 9 x^{3} + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{3} + 3$
3.9.24.26 $x^{9} + 18 x^{8} + 9 x^{7} + 9 x^{3} + 27 x^{2} + 27 x + 30$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 9 x^{3} + 27 x^{2} + 27 x + 30$
3.9.24.27 $x^{9} + 18 x^{8} + 9 x^{7} + 75$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 75$
3.9.24.3 $x^{9} + 18 x^{8} + 9 x^{7} + 9 x^{3} + 27 x^{2} + 27 x + 57$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 9 x^{3} + 27 x^{2} + 27 x + 57$
3.9.24.4 $x^{9} + 9 x^{7} + 54 x^{2} + 21$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 54 x^{2} + 21$
3.9.24.5 $x^{9} + 9 x^{7} + 9 x^{3} + 54 x + 3$ $3$ $9$ $1$ $24$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{3} + 54 x + 3$
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