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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
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) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 75$
3.9.24.28 $x^{9} + 18 x^{8} + 18 x^{7} + 54 x^{2} + 27 x + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 54 x^{2} + 27 x + 75$
3.9.24.29 $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{3} + 54 x^{2} + 27 x + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{3} + 54 x^{2} + 27 x + 3$
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) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 18 x^{8} + 9 x^{7} + 9 x^{3} + 27 x^{2} + 27 x + 57$
3.9.24.30 $x^{9} + 18 x^{7} + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 3$
3.9.24.31 $x^{9} + 9 x^{8} + 18 x^{7} + 18 x^{6} + 18 x^{3} + 27 x^{2} + 30$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 18 x^{6} + 18 x^{3} + 27 x^{2} + 30$
3.9.24.32 $x^{9} + 18 x^{8} + 18 x^{7} + 9 x^{3} + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 9 x^{3} + 3$
3.9.24.33 $x^{9} + 18 x^{7} + 9 x^{3} + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 9 x^{3} + 3$
3.9.24.34 $x^{9} + 18 x^{7} + 9 x^{3} + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 9 x^{3} + 75$
3.9.24.35 $x^{9} + 18 x^{7} + 18 x^{3} + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 18 x^{3} + 75$
3.9.24.36 $x^{9} + 18 x^{7} + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 75$
3.9.24.37 $x^{9} + 18 x^{8} + 18 x^{7} + 18 x^{6} + 9 x^{3} + 54 x^{2} + 54 x + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 18 x^{6} + 9 x^{3} + 54 x^{2} + 54 x + 3$
3.9.24.38 $x^{9} + 9 x^{8} + 18 x^{7} + 54 x + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 54 x + 75$
3.9.24.39 $x^{9} + 9 x^{8} + 18 x^{7} + 27 x + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 27 x + 3$
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) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 54 x^{2} + 21$
3.9.24.40 $x^{9} + 18 x^{8} + 18 x^{7} + 9 x^{6} + 27 x^{2} + 66$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 9 x^{6} + 27 x^{2} + 66$
3.9.24.41 $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{3} + 27 x^{2} + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{3} + 27 x^{2} + 3$
3.9.24.42 $x^{9} + 18 x^{8} + 18 x^{7} + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 75$
3.9.24.43 $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{6} + 57$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{6} + 57$
3.9.24.44 $x^{9} + 9 x^{8} + 18 x^{7} + 27 x + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 27 x + 75$
3.9.24.45 $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{3} + 54 x^{2} + 27 x + 57$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 9 x^{3} + 54 x^{2} + 27 x + 57$
3.9.24.46 $x^{9} + 18 x^{7} + 27 x + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 27 x + 75$
3.9.24.47 $x^{9} + 18 x^{7} + 54 x + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 54 x + 75$
3.9.24.48 $x^{9} + 9 x^{8} + 18 x^{7} + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 3$
3.9.24.49 $x^{9} + 18 x^{8} + 18 x^{7} + 54 x + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 54 x + 3$
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) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}$ $t + 1$ $x^{9} + 9 x^{7} + 9 x^{3} + 54 x + 3$
3.9.24.50 $x^{9} + 18 x^{8} + 18 x^{7} + 18 x^{3} + 27 x^{2} + 39$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 18 x^{3} + 27 x^{2} + 39$
3.9.24.51 $x^{9} + 18 x^{7} + 9 x^{3} + 54 x + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{7} + 9 x^{3} + 54 x + 3$
3.9.24.52 $x^{9} + 18 x^{8} + 18 x^{7} + 18 x^{3} + 27 x + 39$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 18 x^{3} + 27 x + 39$
3.9.24.53 $x^{9} + 9 x^{8} + 18 x^{7} + 75$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 9 x^{8} + 18 x^{7} + 75$
3.9.24.54 $x^{9} + 18 x^{8} + 18 x^{7} + 3$ $3$ $9$ $1$ $24$ $((C_3^3:C_3):C_2):C_2$ (as 9T24) $[5/2, 19/6]$ $[3/2, 5/2, 8/3, 19/6]_{2}^{2}$ $t + 1$ $x^{9} + 18 x^{8} + 18 x^{7} + 3$
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