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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.9.26.1 $x^{9} + 18 x^{6} + 54 x^{5} + 54 x^{4} + 54 x^{3} + 27 x^{2} + 30$ $3$ $9$ $1$ $26$ $D_{9}$ (as 9T3) $[5/2, 7/2]$ $[5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 54 x^{5} + 54 x^{4} + 54 x^{3} + 27 x^{2} + 30$
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) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 27 x^{4} + 54 x^{2} + 57$
3.9.26.2 $x^{9} + 54 x^{4} + 45 x^{3} + 54 x^{2} + 54 x + 12$ $3$ $9$ $1$ $26$ $D_{9}$ (as 9T3) $[5/2, 7/2]$ $[5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 45 x^{3} + 54 x^{2} + 54 x + 12$
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) $[5/2, 7/2]$ $[2, 5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{5} + 54 x^{4} + 27 x^{3} + 27 x^{2} + 21$
3.9.26.28 $x^{9} + 18 x^{6} + 54 x^{5} + 27 x^{4} + 72 x^{3} + 27 x^{2} + 30$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 54 x^{5} + 27 x^{4} + 72 x^{3} + 27 x^{2} + 30$
3.9.26.29 $x^{9} + 27 x^{5} + 54 x^{4} + 72 x^{3} + 27 x + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{5} + 54 x^{4} + 72 x^{3} + 27 x + 75$
3.9.26.3 $x^{9} + 54 x^{2} + 3$ $3$ $9$ $1$ $26$ $D_{9}$ (as 9T3) $[5/2, 7/2]$ $[5/2, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{2} + 3$
3.9.26.30 $x^{9} + 27 x^{2} + 54 x + 21$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{2} + 54 x + 21$
3.9.26.31 $x^{9} + 18 x^{6} + 54 x^{4} + 45 x^{3} + 27 x + 30$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 54 x^{4} + 45 x^{3} + 27 x + 30$
3.9.26.32 $x^{9} + 18 x^{3} + 27 x + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 18 x^{3} + 27 x + 75$
3.9.26.33 $x^{9} + 18 x^{6} + 63 x^{3} + 54 x^{2} + 54 x + 30$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 63 x^{3} + 54 x^{2} + 54 x + 30$
3.9.26.34 $x^{9} + 18 x^{6} + 54 x^{5} + 27 x^{4} + 45 x^{3} + 27 x + 57$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 18 x^{6} + 54 x^{5} + 27 x^{4} + 45 x^{3} + 27 x + 57$
3.9.26.35 $x^{9} + 27 x^{4} + 45 x^{3} + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{4} + 45 x^{3} + 75$
3.9.26.36 $x^{9} + 54 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 9 x^{3} + 3$
3.9.26.37 $x^{9} + 9 x^{3} + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{3} + 75$
3.9.26.38 $x^{9} + 27 x^{4} + 18 x^{3} + 3$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{4} + 18 x^{3} + 3$
3.9.26.39 $x^{9} + 27 x^{5} + 27 x^{4} + 36 x^{3} + 54 x + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{5} + 27 x^{4} + 36 x^{3} + 54 x + 75$
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) $[5/2, 7/2]$ $[5/2, 7/2]_{2}^{3}$ $t + 1$ $x^{9} + 18 x^{6} + 27 x^{5} + 72 x^{3} + 27 x^{2} + 54 x + 3$
3.9.26.40 $x^{9} + 27 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{4} + 9 x^{3} + 3$
3.9.26.41 $x^{9} + 54 x^{4} + 72 x^{3} + 27 x^{2} + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 72 x^{3} + 27 x^{2} + 75$
3.9.26.42 $x^{9} + 9 x^{3} + 3$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{3} + 3$
3.9.26.43 $x^{9} + 18 x^{3} + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 18 x^{3} + 75$
3.9.26.44 $x^{9} + 54 x^{4} + 63 x^{3} + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 63 x^{3} + 75$
3.9.26.45 $x^{9} + 27 x^{2} + 54 x + 3$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{2} + 54 x + 3$
3.9.26.46 $x^{9} + 54 x^{4} + 54 x + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 54 x + 75$
3.9.26.47 $x^{9} + 54 x^{4} + 72 x^{3} + 54 x^{2} + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 72 x^{3} + 54 x^{2} + 75$
3.9.26.48 $x^{9} + 9 x^{6} + 54 x^{5} + 27 x^{4} + 9 x^{3} + 3$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 54 x^{5} + 27 x^{4} + 9 x^{3} + 3$
3.9.26.49 $x^{9} + 54 x^{5} + 18 x^{3} + 54 x^{2} + 27 x + 66$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{5} + 18 x^{3} + 54 x^{2} + 27 x + 66$
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) $[5/2, 7/2]$ $[5/2, 7/2]_{2}^{3}$ $t + 1$ $x^{9} + 54 x^{5} + 54 x^{4} + 9 x^{3} + 54 x^{2} + 27 x + 30$
3.9.26.50 $x^{9} + 54 x^{4} + 72 x^{3} + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 54 x^{4} + 72 x^{3} + 75$
3.9.26.51 $x^{9} + 27 x^{5} + 63 x^{3} + 27 x^{2} + 3$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{5} + 63 x^{3} + 27 x^{2} + 3$
3.9.26.52 $x^{9} + 9 x^{6} + 54 x^{4} + 54 x^{3} + 54 x^{2} + 54 x + 57$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 9 x^{6} + 54 x^{4} + 54 x^{3} + 54 x^{2} + 54 x + 57$
3.9.26.53 $x^{9} + 27 x^{5} + 54 x^{4} + 54 x^{3} + 27 x + 75$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{5} + 54 x^{4} + 54 x^{3} + 27 x + 75$
3.9.26.54 $x^{9} + 27 x^{2} + 27 x + 3$ $3$ $9$ $1$ $26$ $(C_3^3:C_3):C_2$ (as 9T21) $[5/2, 7/2]$ $[3/2, 5/2, 8/3, 7/2]_{2}$ $t + 1$ $x^{9} + 27 x^{2} + 27 x + 3$
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