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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.9.23.1 $x^{9} + 9 x^{7} + 12 x^{6} + 54 x + 48$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 12 x^{6} + 54 x + 48$
3.9.23.10 $x^{9} + 18 x^{7} + 12 x^{6} + 27 x^{2} + 30$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 12 x^{6} + 27 x^{2} + 30$
3.9.23.11 $x^{9} + 18 x^{8} + 21 x^{6} + 27 x + 21$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 21 x^{6} + 27 x + 21$
3.9.23.12 $x^{9} + 18 x^{8} + 3 x^{6} + 27 x^{2} + 30$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 3 x^{6} + 27 x^{2} + 30$
3.9.23.13 $x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 54 x^{2} + 57$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 54 x^{2} + 57$
3.9.23.14 $x^{9} + 18 x^{7} + 12 x^{6} + 27 x^{2} + 3$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 12 x^{6} + 27 x^{2} + 3$
3.9.23.15 $x^{9} + 3 x^{6} + 3$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{6} + 3$
3.9.23.16 $x^{9} + 9 x^{7} + 3 x^{6} + 27 x + 21$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3 x^{6} + 27 x + 21$
3.9.23.17 $x^{9} + 3 x^{6} + 21$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{6} + 21$
3.9.23.18 $x^{9} + 12 x^{6} + 48$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 12 x^{6} + 48$
3.9.23.19 $x^{9} + 18 x^{7} + 12 x^{6} + 54 x + 3$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 12 x^{6} + 54 x + 3$
3.9.23.2 $x^{9} + 9 x^{7} + 3 x^{6} + 27 x + 30$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3 x^{6} + 27 x + 30$
3.9.23.20 $x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 3$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 3$
3.9.23.21 $x^{9} + 9 x^{8} + 3 x^{6} + 3$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 3 x^{6} + 3$
3.9.23.22 $x^{9} + 21 x^{6} + 75$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 21 x^{6} + 75$
3.9.23.23 $x^{9} + 18 x^{8} + 21 x^{6} + 54 x^{2} + 27 x + 3$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 21 x^{6} + 54 x^{2} + 27 x + 3$
3.9.23.24 $x^{9} + 9 x^{8} + 3 x^{6} + 27 x^{2} + 57$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 3 x^{6} + 27 x^{2} + 57$
3.9.23.25 $x^{9} + 3 x^{6} + 57$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 3 x^{6} + 57$
3.9.23.26 $x^{9} + 18 x^{8} + 18 x^{7} + 21 x^{6} + 30$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 21 x^{6} + 30$
3.9.23.27 $x^{9} + 18 x^{8} + 21 x^{6} + 75$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 21 x^{6} + 75$
3.9.23.28 $x^{9} + 24 x^{6} + 54 x + 57$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 24 x^{6} + 54 x + 57$
3.9.23.29 $x^{9} + 18 x^{8} + 24 x^{6} + 75$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 24 x^{6} + 75$
3.9.23.3 $x^{9} + 9 x^{7} + 3 x^{6} + 3$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{7} + 3 x^{6} + 3$
3.9.23.30 $x^{9} + 18 x^{8} + 6 x^{6} + 3$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 6 x^{6} + 3$
3.9.23.31 $x^{9} + 24 x^{6} + 54 x + 66$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 24 x^{6} + 54 x + 66$
3.9.23.32 $x^{9} + 24 x^{6} + 66$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 24 x^{6} + 66$
3.9.23.33 $x^{9} + 6 x^{6} + 3$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 6 x^{6} + 3$
3.9.23.34 $x^{9} + 9 x^{8} + 9 x^{7} + 15 x^{6} + 21$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 15 x^{6} + 21$
3.9.23.35 $x^{9} + 18 x^{8} + 6 x^{6} + 12$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 6 x^{6} + 12$
3.9.23.36 $x^{9} + 24 x^{6} + 75$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 24 x^{6} + 75$
3.9.23.37 $x^{9} + 18 x^{8} + 15 x^{6} + 27 x + 75$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 15 x^{6} + 27 x + 75$
3.9.23.38 $x^{9} + 9 x^{8} + 6 x^{6} + 3$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 6 x^{6} + 3$
3.9.23.39 $x^{9} + 18 x^{8} + 6 x^{6} + 54 x + 12$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 6 x^{6} + 54 x + 12$
3.9.23.4 $x^{9} + 18 x^{8} + 12 x^{6} + 54 x^{2} + 48$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 12 x^{6} + 54 x^{2} + 48$
3.9.23.40 $x^{9} + 9 x^{8} + 15 x^{6} + 27 x + 66$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 15 x^{6} + 27 x + 66$
3.9.23.41 $x^{9} + 9 x^{8} + 24 x^{6} + 66$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 24 x^{6} + 66$
3.9.23.42 $x^{9} + 9 x^{8} + 9 x^{7} + 15 x^{6} + 18 x^{3} + 54 x^{2} + 75$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 15 x^{6} + 18 x^{3} + 54 x^{2} + 75$
3.9.23.43 $x^{9} + 9 x^{7} + 6 x^{6} + 3$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 6 x^{6} + 3$
3.9.23.44 $x^{9} + 9 x^{8} + 15 x^{6} + 54 x^{2} + 48$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 15 x^{6} + 54 x^{2} + 48$
3.9.23.45 $x^{9} + 9 x^{7} + 6 x^{6} + 27 x + 12$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 6 x^{6} + 27 x + 12$
3.9.23.46 $x^{9} + 18 x^{8} + 9 x^{7} + 24 x^{6} + 27 x^{2} + 21$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 24 x^{6} + 27 x^{2} + 21$
3.9.23.47 $x^{9} + 9 x^{8} + 6 x^{6} + 54 x + 3$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 6 x^{6} + 54 x + 3$
3.9.23.48 $x^{9} + 24 x^{6} + 57$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 24 x^{6} + 57$
3.9.23.49 $x^{9} + 18 x^{7} + 24 x^{6} + 27 x + 75$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{7} + 24 x^{6} + 27 x + 75$
3.9.23.5 $x^{9} + 9 x^{8} + 12 x^{6} + 27 x^{2} + 48$ $3$ $9$ $1$ $23$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 12 x^{6} + 27 x^{2} + 48$
3.9.23.50 $x^{9} + 9 x^{8} + 24 x^{6} + 75$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 24 x^{6} + 75$
3.9.23.51 $x^{9} + 9 x^{8} + 24 x^{6} + 54 x + 66$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 24 x^{6} + 54 x + 66$
3.9.23.52 $x^{9} + 18 x^{8} + 9 x^{7} + 6 x^{6} + 27 x^{2} + 3$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 6 x^{6} + 27 x^{2} + 3$
3.9.23.53 $x^{9} + 9 x^{8} + 9 x^{7} + 24 x^{6} + 18 x^{3} + 54 x^{2} + 57$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{8} + 9 x^{7} + 24 x^{6} + 18 x^{3} + 54 x^{2} + 57$
3.9.23.54 $x^{9} + 24 x^{6} + 27 x + 66$ $3$ $9$ $1$ $23$ $(C_3^3:C_3):C_2$ (as 9T22) $[2, 19/6]$ $[2, 5/2, 17/6, 19/6]_{2}$ $t + 1$ $x^{9} + 24 x^{6} + 27 x + 66$
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