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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.9.9.11 $x^{9} + 3 x + 3$ $3$ $9$ $1$ $9$ $(C_3^2:C_8):C_2$ (as 9T19) $[9/8, 9/8]$ $[9/8, 9/8]_{8}^{2}$ $t + 1$ $x^{9} + 3 x + 3$
3.9.9.12 $x^{9} + 6 x + 3$ $3$ $9$ $1$ $9$ $(C_3^2:C_8):C_2$ (as 9T19) $[9/8, 9/8]$ $[9/8, 9/8]_{8}^{2}$ $t + 1$ $x^{9} + 6 x + 3$
3.9.10.1 $x^{9} + 3 x^{2} + 3$ $3$ $9$ $1$ $10$ $C_3^2:Q_8$ (as 9T14) $[5/4, 5/4]$ $[5/4, 5/4]_{4}^{2}$ $t + 1$ $x^{9} + 3 x^{2} + 3$
3.9.10.2 $x^{9} + 6 x^{2} + 3$ $3$ $9$ $1$ $10$ $S_3^2:C_2$ (as 9T16) $[5/4, 5/4]$ $[5/4, 5/4]_{4}^{2}$ $t + 1$ $x^{9} + 6 x^{2} + 3$
3.9.12.21 $x^{9} + 6 x^{4} + 3$ $3$ $9$ $1$ $12$ $C_3^2:C_4$ (as 9T9) $[3/2, 3/2]$ $[3/2, 3/2]_{2}^{2}$ $t + 1$ $x^{9} + 6 x^{4} + 3$
3.9.12.22 $x^{9} + 6 x^{4} + 6 x^{3} + 3$ $3$ $9$ $1$ $12$ $C_3^2 : C_6$ (as 9T11) $[3/2, 3/2]$ $[3/2, 3/2]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{4} + 6 x^{3} + 3$
3.9.12.23 $x^{9} + 6 x^{4} + 3 x^{3} + 3$ $3$ $9$ $1$ $12$ $C_3^2 : C_6$ (as 9T11) $[3/2, 3/2]$ $[3/2, 3/2]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{4} + 3 x^{3} + 3$
3.9.12.24 $x^{9} + 3 x^{4} + 3$ $3$ $9$ $1$ $12$ $S_3^2$ (as 9T8) $[3/2, 3/2]$ $[3/2, 3/2]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{4} + 3$
3.9.12.25 $x^{9} + 3 x^{4} + 6 x^{3} + 3$ $3$ $9$ $1$ $12$ $C_3^2:C_8$ (as 9T15) $[3/2, 3/2]$ $[3/2, 3/2]_{2}^{4}$ $t + 1$ $x^{9} + 3 x^{4} + 6 x^{3} + 3$
3.9.12.26 $x^{9} + 3 x^{4} + 3 x^{3} + 3$ $3$ $9$ $1$ $12$ $C_3^2:C_8$ (as 9T15) $[3/2, 3/2]$ $[3/2, 3/2]_{2}^{4}$ $t + 1$ $x^{9} + 3 x^{4} + 3 x^{3} + 3$
3.9.13.1 $x^{9} + 6 x^{5} + 3$ $3$ $9$ $1$ $13$ $(C_3^2:C_8):C_2$ (as 9T19) $[13/8, 13/8]$ $[13/8, 13/8]_{8}^{2}$ $t + 1$ $x^{9} + 6 x^{5} + 3$
3.9.13.10 $x^{9} + 6 x^{6} + 3 x^{5} + 3 x^{3} + 3$ $3$ $9$ $1$ $13$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 5/3]$ $[3/2, 3/2, 5/3]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{6} + 3 x^{5} + 3 x^{3} + 3$
3.9.13.2 $x^{9} + 6 x^{5} + 3 x^{3} + 3$ $3$ $9$ $1$ $13$ $C_3^2 : D_{6} $ (as 9T18) $[3/2, 5/3]$ $[3/2, 3/2, 5/3]_{2}^{2}$ $t + 1$ $x^{9} + 6 x^{5} + 3 x^{3} + 3$
3.9.13.3 $x^{9} + 3 x^{6} + 6 x^{5} + 6 x^{3} + 3$ $3$ $9$ $1$ $13$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 5/3]$ $[3/2, 3/2, 5/3]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{6} + 6 x^{5} + 6 x^{3} + 3$
3.9.13.4 $x^{9} + 6 x^{5} + 6 x^{3} + 3$ $3$ $9$ $1$ $13$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 5/3]$ $[3/2, 3/2, 5/3]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{5} + 6 x^{3} + 3$
3.9.13.5 $x^{9} + 6 x^{6} + 6 x^{5} + 6 x^{3} + 3$ $3$ $9$ $1$ $13$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 5/3]$ $[3/2, 3/2, 5/3]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{6} + 6 x^{5} + 6 x^{3} + 3$
3.9.13.6 $x^{9} + 3 x^{5} + 3$ $3$ $9$ $1$ $13$ $(C_3^2:C_8):C_2$ (as 9T19) $[13/8, 13/8]$ $[13/8, 13/8]_{8}^{2}$ $t + 1$ $x^{9} + 3 x^{5} + 3$
3.9.13.7 $x^{9} + 3 x^{5} + 6 x^{3} + 3$ $3$ $9$ $1$ $13$ $C_3^2 : D_{6} $ (as 9T18) $[3/2, 5/3]$ $[3/2, 3/2, 5/3]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{5} + 6 x^{3} + 3$
3.9.13.8 $x^{9} + 3 x^{5} + 3 x^{3} + 3$ $3$ $9$ $1$ $13$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 5/3]$ $[3/2, 3/2, 5/3]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{5} + 3 x^{3} + 3$
3.9.13.9 $x^{9} + 3 x^{6} + 3 x^{5} + 3 x^{3} + 3$ $3$ $9$ $1$ $13$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 5/3]$ $[3/2, 3/2, 5/3]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{6} + 3 x^{5} + 3 x^{3} + 3$
3.9.15.12 $x^{9} + 6 x^{8} + 3 x^{7} + 6 x^{3} + 21$ $3$ $9$ $1$ $15$ $S_3\times C_3$ (as 9T4) $[3/2, 2]$ $[3/2, 2]_{2}$ $t + 1$ $x^{9} + 6 x^{8} + 3 x^{7} + 6 x^{3} + 21$
3.9.15.13 $x^{9} + 3 x^{8} + 3 x^{7} + 3 x^{6} + 6 x^{3} + 3$ $3$ $9$ $1$ $15$ $S_3\times C_3$ (as 9T4) $[3/2, 2]$ $[3/2, 2]_{2}$ $t + 1$ $x^{9} + 3 x^{8} + 3 x^{7} + 3 x^{6} + 6 x^{3} + 3$
3.9.15.14 $x^{9} + 3 x^{8} + 3 x^{7} + 3 x^{6} + 6 x^{3} + 12$ $3$ $9$ $1$ $15$ $S_3\times C_3$ (as 9T4) $[3/2, 2]$ $[3/2, 2]_{2}$ $t + 1$ $x^{9} + 3 x^{8} + 3 x^{7} + 3 x^{6} + 6 x^{3} + 12$
3.9.15.15 $x^{9} + 6 x^{8} + 3 x^{7} + 3 x^{3} + 21$ $3$ $9$ $1$ $15$ $S_3^2$ (as 9T8) $[3/2, 2]$ $[3/2, 2]_{2}^{2}$ $t + 1$ $x^{9} + 6 x^{8} + 3 x^{7} + 3 x^{3} + 21$
3.9.15.16 $x^{9} + 3 x^{7} + 3 x^{6} + 3$ $3$ $9$ $1$ $15$ $(C_3^2:C_8):C_2$ (as 9T19) $[15/8, 15/8]$ $[15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{9} + 3 x^{7} + 3 x^{6} + 3$
3.9.15.17 $x^{9} + 3 x^{7} + 3$ $3$ $9$ $1$ $15$ $(C_3^2:C_8):C_2$ (as 9T19) $[15/8, 15/8]$ $[15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{9} + 3 x^{7} + 3$
3.9.15.18 $x^{9} + 3 x^{7} + 6 x^{6} + 3$ $3$ $9$ $1$ $15$ $(C_3^2:C_8):C_2$ (as 9T19) $[15/8, 15/8]$ $[15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{9} + 3 x^{7} + 6 x^{6} + 3$
3.9.15.19 $x^{9} + 3 x^{7} + 3 x^{3} + 21$ $3$ $9$ $1$ $15$ $C_3^2 : D_{6} $ (as 9T18) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{7} + 3 x^{3} + 21$
3.9.15.20 $x^{9} + 3 x^{8} + 3 x^{7} + 3 x^{3} + 3$ $3$ $9$ $1$ $15$ $C_3^2 : D_{6} $ (as 9T18) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{8} + 3 x^{7} + 3 x^{3} + 3$
3.9.15.21 $x^{9} + 3 x^{7} + 6 x^{3} + 12$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{7} + 6 x^{3} + 12$
3.9.15.22 $x^{9} + 6 x^{8} + 3 x^{7} + 6 x^{6} + 6 x^{3} + 3$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{8} + 3 x^{7} + 6 x^{6} + 6 x^{3} + 3$
3.9.15.23 $x^{9} + 3 x^{8} + 3 x^{7} + 6 x^{3} + 3$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{8} + 3 x^{7} + 6 x^{3} + 3$
3.9.15.24 $x^{9} + 3 x^{7} + 6 x^{3} + 21$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{7} + 6 x^{3} + 21$
3.9.15.25 $x^{9} + 3 x^{7} + 6 x^{3} + 3$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{7} + 6 x^{3} + 3$
3.9.15.26 $x^{9} + 6 x^{8} + 3 x^{7} + 6 x^{6} + 6 x^{3} + 12$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{8} + 3 x^{7} + 6 x^{6} + 6 x^{3} + 12$
3.9.15.27 $x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{3} + 3$ $3$ $9$ $1$ $15$ $S_3\times C_3$ (as 9T4) $[3/2, 2]$ $[3/2, 2]_{2}$ $t + 1$ $x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{3} + 3$
3.9.15.28 $x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{3} + 21$ $3$ $9$ $1$ $15$ $S_3\times C_3$ (as 9T4) $[3/2, 2]$ $[3/2, 2]_{2}$ $t + 1$ $x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{3} + 21$
3.9.15.29 $x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{3} + 12$ $3$ $9$ $1$ $15$ $S_3\times C_3$ (as 9T4) $[3/2, 2]$ $[3/2, 2]_{2}$ $t + 1$ $x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{3} + 12$
3.9.15.30 $x^{9} + 3 x^{8} + 6 x^{7} + 6 x^{6} + 6 x^{3} + 12$ $3$ $9$ $1$ $15$ $S_3^2$ (as 9T8) $[3/2, 2]$ $[3/2, 2]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{8} + 6 x^{7} + 6 x^{6} + 6 x^{3} + 12$
3.9.15.31 $x^{9} + 6 x^{7} + 3$ $3$ $9$ $1$ $15$ $(C_3^2:C_8):C_2$ (as 9T19) $[15/8, 15/8]$ $[15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{9} + 6 x^{7} + 3$
3.9.15.32 $x^{9} + 6 x^{7} + 6 x^{6} + 3$ $3$ $9$ $1$ $15$ $(C_3^2:C_8):C_2$ (as 9T19) $[15/8, 15/8]$ $[15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{9} + 6 x^{7} + 6 x^{6} + 3$
3.9.15.33 $x^{9} + 6 x^{7} + 3 x^{6} + 3$ $3$ $9$ $1$ $15$ $(C_3^2:C_8):C_2$ (as 9T19) $[15/8, 15/8]$ $[15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{9} + 6 x^{7} + 3 x^{6} + 3$
3.9.15.34 $x^{9} + 6 x^{7} + 6 x^{3} + 3$ $3$ $9$ $1$ $15$ $C_3^2 : D_{6} $ (as 9T18) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{2}$ $t + 1$ $x^{9} + 6 x^{7} + 6 x^{3} + 3$
3.9.15.35 $x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 3$ $3$ $9$ $1$ $15$ $C_3^2 : D_{6} $ (as 9T18) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{2}$ $t + 1$ $x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 3$
3.9.15.36 $x^{9} + 6 x^{7} + 3 x^{3} + 3$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{7} + 3 x^{3} + 3$
3.9.15.37 $x^{9} + 6 x^{7} + 3 x^{3} + 21$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{7} + 3 x^{3} + 21$
3.9.15.38 $x^{9} + 6 x^{7} + 3 x^{3} + 12$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{7} + 3 x^{3} + 12$
3.9.15.39 $x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{3} + 3$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{3} + 3$
3.9.15.40 $x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{3} + 21$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{3} + 21$
3.9.15.41 $x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{3} + 12$ $3$ $9$ $1$ $15$ $C_3 \wr S_3 $ (as 9T20) $[3/2, 2]$ $[3/2, 3/2, 2]_{2}^{3}$ $t + 1$ $x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{3} + 12$
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