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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.9.16.10 $x^{9} + 3 x^{8} + 3 x^{3} + 21$ $3$ $9$ $1$ $16$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 13/6]$ $[3/2, 2, 13/6]_{2}$ $t + 1$ $x^{9} + 3 x^{8} + 3 x^{3} + 21$
3.9.16.11 $x^{9} + 3 x^{8} + 6 x^{3} + 21$ $3$ $9$ $1$ $16$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 13/6]$ $[3/2, 2, 13/6]_{2}$ $t + 1$ $x^{9} + 3 x^{8} + 6 x^{3} + 21$
3.9.16.6 $x^{9} + 3 x^{8} + 3 x^{3} + 18 x + 21$ $3$ $9$ $1$ $16$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 13/6]$ $[3/2, 2, 13/6]_{2}$ $t + 1$ $x^{9} + 3 x^{8} + 3 x^{3} + 18 x + 21$
3.9.16.7 $x^{9} + 3 x^{8} + 3 x^{3} + 3$ $3$ $9$ $1$ $16$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 13/6]$ $[3/2, 2, 13/6]_{2}$ $t + 1$ $x^{9} + 3 x^{8} + 3 x^{3} + 3$
3.9.16.8 $x^{9} + 3 x^{8} + 6 x^{3} + 3$ $3$ $9$ $1$ $16$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 13/6]$ $[3/2, 2, 13/6]_{2}$ $t + 1$ $x^{9} + 3 x^{8} + 6 x^{3} + 3$
3.9.16.9 $x^{9} + 3 x^{8} + 6 x^{3} + 18 x + 3$ $3$ $9$ $1$ $16$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 13/6]$ $[3/2, 2, 13/6]_{2}$ $t + 1$ $x^{9} + 3 x^{8} + 6 x^{3} + 18 x + 3$
3.9.18.22 $x^{9} + 9 x^{5} + 9 x^{4} + 12 x^{3} + 18 x^{2} + 9 x + 21$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 9 x^{5} + 9 x^{4} + 12 x^{3} + 18 x^{2} + 9 x + 21$
3.9.18.23 $x^{9} + 9 x^{4} + 12 x^{3} + 9 x + 3$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 9 x^{4} + 12 x^{3} + 9 x + 3$
3.9.18.25 $x^{9} + 18 x^{4} + 6 x^{3} + 9 x + 21$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 18 x^{4} + 6 x^{3} + 9 x + 21$
3.9.18.26 $x^{9} + 18 x^{4} + 21 x^{3} + 9 x + 3$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 18 x^{4} + 21 x^{3} + 9 x + 3$
3.9.18.27 $x^{9} + 18 x^{5} + 12 x^{3} + 18 x^{2} + 9 x + 12$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 18 x^{5} + 12 x^{3} + 18 x^{2} + 9 x + 12$
3.9.18.28 $x^{9} + 9 x^{4} + 6 x^{3} + 9 x + 21$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 9 x^{4} + 6 x^{3} + 9 x + 21$
3.9.18.3 $x^{9} + 9 x^{5} + 9 x^{4} + 6 x^{3} + 18 x^{2} + 9 x + 3$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 5/2]_{2}^{3}$ $t + 1$ $x^{9} + 9 x^{5} + 9 x^{4} + 6 x^{3} + 18 x^{2} + 9 x + 3$
3.9.18.30 $x^{9} + 18 x^{5} + 12 x^{3} + 18 x^{2} + 9 x + 21$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 18 x^{5} + 12 x^{3} + 18 x^{2} + 9 x + 21$
3.9.18.32 $x^{9} + 6 x^{3} + 9 x + 3$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 6 x^{3} + 9 x + 3$
3.9.18.33 $x^{9} + 3 x^{3} + 9 x + 3$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 2, 5/2]_{2}$ $t + 1$ $x^{9} + 3 x^{3} + 9 x + 3$
3.9.18.6 $x^{9} + 6 x^{3} + 18 x^{2} + 9 x + 3$ $3$ $9$ $1$ $18$ $(C_9:C_3):C_2$ (as 9T10) $[3/2, 5/2]$ $[3/2, 5/2]_{2}^{3}$ $t + 1$ $x^{9} + 6 x^{3} + 18 x^{2} + 9 x + 3$
3.9.22.17 $x^{9} + 9 x^{8} + 12 x^{6} + 18 x^{5} + 48$ $3$ $9$ $1$ $22$ $(C_9:C_3):C_2$ (as 9T10) $[2, 3]$ $[2, 3]^{6}$ $t + 1$ $x^{9} + 9 x^{8} + 12 x^{6} + 18 x^{5} + 48$
3.9.22.18 $x^{9} + 9 x^{8} + 3 x^{6} + 18 x^{5} + 57$ $3$ $9$ $1$ $22$ $(C_9:C_3):C_2$ (as 9T10) $[2, 3]$ $[2, 3]^{6}$ $t + 1$ $x^{9} + 9 x^{8} + 3 x^{6} + 18 x^{5} + 57$
3.9.22.19 $x^{9} + 18 x^{7} + 12 x^{6} + 18 x^{5} + 75$ $3$ $9$ $1$ $22$ $(C_9:C_3):C_2$ (as 9T10) $[2, 3]$ $[2, 2, 3]^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 12 x^{6} + 18 x^{5} + 75$
3.9.22.20 $x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{5} + 75$ $3$ $9$ $1$ $22$ $(C_9:C_3):C_2$ (as 9T10) $[2, 3]$ $[2, 2, 3]^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{5} + 75$
3.9.22.21 $x^{9} + 9 x^{8} + 9 x^{7} + 21 x^{6} + 18 x^{5} + 57$ $3$ $9$ $1$ $22$ $(C_9:C_3):C_2$ (as 9T10) $[2, 3]$ $[2, 2, 3]^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 21 x^{6} + 18 x^{5} + 57$
3.9.22.22 $x^{9} + 18 x^{8} + 18 x^{7} + 12 x^{6} + 18 x^{5} + 30$ $3$ $9$ $1$ $22$ $(C_9:C_3):C_2$ (as 9T10) $[2, 3]$ $[2, 2, 3]^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 12 x^{6} + 18 x^{5} + 30$
3.9.22.23 $x^{9} + 18 x^{7} + 3 x^{6} + 18 x^{5} + 3$ $3$ $9$ $1$ $22$ $(C_9:C_3):C_2$ (as 9T10) $[2, 3]$ $[2, 2, 3]^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 3 x^{6} + 18 x^{5} + 3$
3.9.22.24 $x^{9} + 18 x^{8} + 9 x^{7} + 21 x^{6} + 18 x^{5} + 3$ $3$ $9$ $1$ $22$ $(C_9:C_3):C_2$ (as 9T10) $[2, 3]$ $[2, 2, 3]^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 21 x^{6} + 18 x^{5} + 3$
3.9.26.10 $x^{9} + 27 x^{4} + 36 x^{3} + 27 x + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{4} + 36 x^{3} + 27 x + 3$
3.9.26.11 $x^{9} + 9 x^{6} + 54 x^{4} + 9 x^{3} + 54 x^{2} + 27 x + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 54 x^{4} + 9 x^{3} + 54 x^{2} + 27 x + 3$
3.9.26.12 $x^{9} + 27 x^{4} + 75$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{4} + 75$
3.9.26.13 $x^{9} + 9 x^{3} + 27 x + 30$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{3} + 27 x + 30$
3.9.26.14 $x^{9} + 27 x^{4} + 9 x^{3} + 27 x^{2} + 27 x + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{4} + 9 x^{3} + 27 x^{2} + 27 x + 3$
3.9.26.15 $x^{9} + 75$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 75$
3.9.26.16 $x^{9} + 27 x^{4} + 36 x^{3} + 27 x + 30$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{4} + 36 x^{3} + 27 x + 30$
3.9.26.17 $x^{9} + 27 x^{3} + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{3} + 3$
3.9.26.18 $x^{9} + 54 x^{4} + 18 x^{3} + 54 x + 57$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 18 x^{3} + 54 x + 57$
3.9.26.19 $x^{9} + 9 x^{6} + 27 x^{4} + 54 x^{2} + 57$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 27 x^{4} + 54 x^{2} + 57$
3.9.26.20 $x^{9} + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 3$
3.9.26.21 $x^{9} + 27 x^{2} + 75$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{2} + 75$
3.9.26.22 $x^{9} + 27 x^{4} + 72 x^{3} + 54 x + 66$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{4} + 72 x^{3} + 54 x + 66$
3.9.26.23 $x^{9} + 54 x^{4} + 9 x^{3} + 27 x^{2} + 27 x + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 9 x^{3} + 27 x^{2} + 27 x + 3$
3.9.26.24 $x^{9} + 9 x^{6} + 54 x^{4} + 54 x^{2} + 57$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 54 x^{4} + 54 x^{2} + 57$
3.9.26.25 $x^{9} + 54 x^{4} + 54 x^{3} + 27 x^{2} + 21$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 54 x^{3} + 27 x^{2} + 21$
3.9.26.26 $x^{9} + 27 x^{2} + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{2} + 3$
3.9.26.27 $x^{9} + 54 x^{5} + 54 x^{4} + 27 x^{3} + 27 x^{2} + 21$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{5} + 54 x^{4} + 27 x^{3} + 27 x^{2} + 21$
3.9.26.4 $x^{9} + 18 x^{6} + 27 x^{5} + 72 x^{3} + 27 x^{2} + 54 x + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[5/2, 7/2]_{2}^{3}$ $t + 1$ $x^{9} + 18 x^{6} + 27 x^{5} + 72 x^{3} + 27 x^{2} + 54 x + 3$
3.9.26.5 $x^{9} + 54 x^{5} + 54 x^{4} + 9 x^{3} + 54 x^{2} + 27 x + 30$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[5/2, 7/2]_{2}^{3}$ $t + 1$ $x^{9} + 54 x^{5} + 54 x^{4} + 9 x^{3} + 54 x^{2} + 27 x + 30$
3.9.26.6 $x^{9} + 18 x^{6} + 54 x^{4} + 9 x^{3} + 27 x^{2} + 27 x + 57$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[5/2, 7/2]_{2}^{3}$ $t + 1$ $x^{9} + 18 x^{6} + 54 x^{4} + 9 x^{3} + 27 x^{2} + 27 x + 57$
3.9.26.7 $x^{9} + 27 x^{5} + 54 x^{4} + 27 x^{3} + 54 x^{2} + 48$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[5/2, 7/2]_{2}^{3}$ $t + 1$ $x^{9} + 27 x^{5} + 54 x^{4} + 27 x^{3} + 54 x^{2} + 48$
3.9.26.8 $x^{9} + 54 x^{4} + 54 x^{3} + 54 x^{2} + 48$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[5/2, 7/2]_{2}^{3}$ $t + 1$ $x^{9} + 54 x^{4} + 54 x^{3} + 54 x^{2} + 48$
3.9.26.9 $x^{9} + 27 x^{5} + 63 x^{3} + 54 x^{2} + 27 x + 3$ $3$ $9$ $1$ $26$ $(C_9:C_3):C_2$ (as 9T10) $[5/2, 7/2]$ $[5/2, 7/2]_{2}^{3}$ $t + 1$ $x^{9} + 27 x^{5} + 63 x^{3} + 54 x^{2} + 27 x + 3$
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