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Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
x12 - x4 - x3 - x2 + x - 1 3 1 12 0 $C_{12}$ $ [\ ]^{12}$
x12 + 243x2 - 729 3 2 6 6 $C_{12}$ $ [\ ]_{2}^{6}$
x12 + 18x11 + 255x10 - 378x9 + 54x8 - 459x7 - 675x6 + 486x5 + 405x4 - 729x2 + 729 3 2 6 6 $C_6\times C_2$ $ [\ ]_{2}^{6}$
x12 - 9x8 + 36x6 - 9x4 - 27 3 4 3 9 $D_4 \times C_3$ $ [\ ]_{4}^{6}$
x12 + 30x11 + 18x10 + 9x8 - 27x7 + 27x6 - 27x5 - 9x4 + 27x3 - 27x2 - 27x + 27 3 4 3 9 $D_4 \times C_3$ $ [\ ]_{4}^{6}$
x12 + 27x6 + 81x5 - 54x3 - 81x - 81 3 3 4 12 12T173 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 9x11 + 36x10 - 72x9 + 18x8 + 45x7 + 99x6 + 54x5 + 81x4 - 81x3 + 81x2 - 81x + 81 3 3 4 12 12T173 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 18x11 - 120x10 - 33x9 - 99x8 - 117x7 + 108x6 + 54x4 - 81x2 - 81x - 81 3 3 4 12 12T170 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 165x10 - 312x9 - 288x8 - 180x7 - 36x6 - 135x5 - 243x4 + 54x3 + 81x2 + 81x - 162 3 3 4 12 12T41 $ [3/2, 3/2]_{2}^{4}$
x12 + 42x11 - 57x10 - 36x9 - 117x8 - 54x7 - 18x6 - 27x5 + 54x4 + 108x3 - 81x2 + 81x + 81 3 3 4 12 12T173 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 48x10 + 96x9 + 36x8 + 99x7 - 99x6 + 81x4 - 27x3 - 81x + 81 3 3 4 12 12T173 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 12x11 + 87x10 + 57x9 + 81x8 - 36x6 + 54x5 + 54x4 + 54x3 - 81x - 81 3 3 4 12 12T173 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 24x11 + 42x10 - 39x9 - 99x8 + 18x7 - 27x6 - 54x4 + 27x3 - 81x + 81 3 3 4 12 12T170 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 12x11 - 120x10 + 108x9 + 90x8 + 99x7 + 90x6 - 27x5 + 54x4 + 81x3 - 81x2 - 81 3 3 4 12 12T170 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 42x11 - 48x10 - 114x9 - 99x8 - 54x7 - 90x6 - 108x5 + 27x4 - 27x3 + 81x2 + 81x - 81 3 3 4 12 12T46 $ [3/2, 3/2]_{2}^{4}$
x12 + 33x11 - 9x10 - 18x9 - 18x8 + 81x7 - 63x6 + 108x5 - 54x4 + 81x3 + 81x2 + 81x - 81 3 3 4 12 12T119 $ [3/2, 3/2, 3/2]_{2}^{4}$
x12 + 78x10 - 75x9 - 36x8 + 36x7 + 81x6 - 81x5 - 81x4 + 81x3 + 81x2 + 81x - 81 3 3 4 12 12T173 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 33x11 + 81x10 - 75x9 - 81x8 + 81x7 - 54x6 + 54x5 + 81x4 + 81x3 + 81x2 + 81x - 81 3 3 4 12 12T173 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 12x11 + 108x10 + 108x9 - 72x8 - 99x7 - 72x6 - 108x5 - 27x4 + 108x3 + 81x + 81 3 3 4 12 12T173 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 + 18x11 + 21x10 - 69x9 - 81x8 + 72x7 - 90x6 - 108x5 + 54x4 - 108x3 - 81 3 3 4 12 12T119 $ [3/2, 3/2, 3/2]_{2}^{4}$
x12 + 21x11 + 21x10 + 63x9 + 36x8 + 54x7 + 90x6 + 81x3 - 81 3 3 4 12 $S_3 \times C_4$ $ [3/2]_{2}^{4}$
x12 + 3x7 + 3x6 - 9x2 + 9x - 9 3 6 2 12 12T215 $ [5/4, 5/4, 5/4, 5/4]_{4}^{4}$
x12 + 3x11 + 6x10 + 6x9 + 9x8 - 3x7 + 3x6 - 9x5 + 9x2 - 9 3 6 2 12 12T215 $ [5/4, 5/4, 5/4, 5/4]_{4}^{4}$
x12 - 9x11 - 6x10 + 6x9 - 12x8 + 12x7 - 12x6 + 9x4 + 9x + 9 3 6 2 12 12T34 $ [5/4, 5/4]_{4}^{2}$
x12 - 12x11 + 3x10 - 9x9 + 3x8 + 3x7 + 6x6 + 9x3 + 9x + 9 3 6 2 12 12T47 $ [5/4, 5/4]_{4}^{2}$
x12 + 12x11 - 3x10 + 3x9 + 3x8 + 6x7 + 12x6 + 9x5 + 9x4 + 9x + 9 3 6 2 12 12T34 $ [5/4, 5/4]_{4}^{2}$
x12 + 3x + 3 3 12 1 12 12T84 $ [9/8, 9/8]_{8}^{2}$
x12 + 42x10 - 87x9 + 90x8 - 99x7 - 72x6 - 54x5 - 27x4 - 108x3 - 81 3 3 4 12 12T170 $ [3/2, 3/2, 3/2, 3/2]_{2}^{4}$
x12 - 3x10 + 3x7 + 3x5 + 3x4 + 3x3 + 3x2 - 3x - 3 3 12 1 12 12T84 $ [9/8, 9/8]_{8}^{2}$
x12 + 33x11 - 24x10 + 66x9 - 45x8 + 99x7 - 99x6 + 81x5 + 27x4 + 27x3 + 81x2 + 81 3 3 4 12 12T46 $ [3/2, 3/2]_{2}^{4}$
x12 + 33x11 - 63x10 - 36x9 - 90x8 - 54x7 - 54x6 - 108x4 - 27x3 - 81x2 + 81x - 81 3 3 4 12 $S_3 \times C_4$ $ [3/2]_{2}^{4}$
x12 + 24x11 - 3x10 + 81x9 - 18x8 + 54x7 + 108x5 - 54x4 - 27x3 - 81x - 81 3 3 4 12 12T39 $ [3/2, 3/2]_{2}^{4}$
x12 + 12x11 + 108x10 + 105x9 - 45x8 + 45x7 - 81x6 - 108x5 + 27x4 - 81x3 - 81x2 + 81x - 81 3 3 4 12 12T119 $ [3/2, 3/2, 3/2]_{2}^{4}$
x12 + 21x11 + 81x10 - 78x9 - 63x8 - 99x7 + 117x6 - 54x5 - 54x4 + 81x2 - 81x + 81 3 3 4 12 12T119 $ [3/2, 3/2, 3/2]_{2}^{4}$
x12 + 24x11 + 21x10 + 21x9 + 63x8 - 54x7 + 81x5 - 54x4 - 27x3 - 81x2 - 81x + 81 3 3 4 12 12T41 $ [3/2, 3/2]_{2}^{4}$
x12 + 3x2 + 3 3 12 1 13 12T36 $ [5/4, 5/4]_{4}^{2}$
x12 - 3x10 + 3x6 + 3x5 - 3x3 - 3x2 + 3 3 12 1 13 12T121 $ [5/4, 5/4]_{4}^{6}$
x12 + 3x10 + 3x9 + 3x8 + 3x7 + 3x3 + 3x2 - 3 3 12 1 13 12T121 $ [5/4, 5/4]_{4}^{6}$
x12 - 3x10 + 3x6 - 3x5 + 3x4 - 3x2 - 3 3 12 1 13 12T36 $ [5/4, 5/4]_{4}^{2}$
x12 + 3x11 + 3x9 - 3x8 + 3x6 - 3x2 + 3 3 12 1 13 12T35 $ [5/4, 5/4]_{4}^{2}$
x12 + 3x11 + 3x7 + 3x6 + 3x4 + 3x2 - 3 3 12 1 13 12T35 $ [5/4, 5/4]_{4}^{2}$
x12 + 3x8 + 3x6 - 9x4 + 9x2 - 9 3 6 2 14 $(C_3\times C_3):C_4$ $ [3/2, 3/2]_{2}^{2}$
x12 - 9x11 + 9x10 + 9x9 - 12x8 - 9x5 + 9x4 + 9x3 + 9 3 6 2 14 $C_6\times S_3$ $ [3/2]_{2}^{6}$
x12 + 6x11 + 21x10 + 36x9 + 30x8 + 36x7 + 3x6 + 36x5 + 27x4 - 9x2 + 36 3 6 2 14 $D_6$ $ [3/2]_{2}^{2}$
x12 + 9x11 + 9x10 + 12x8 + 12x6 + 9x5 + 9x4 - 9x2 - 9 3 6 2 14 12T39 $ [3/2, 3/2]_{2}^{4}$
x12 + 9x11 - 9x10 - 3x9 - 6x8 + 9x7 - 6x6 + 9x4 + 9x3 - 9 3 6 2 14 12T73 $ [3/2, 3/2]_{2}^{6}$
x12 - 12x11 - 3x10 - 6x8 + 3x6 - 9x5 - 9x4 - 9 3 6 2 14 $(C_3\times C_3):C_4$ $ [3/2, 3/2]_{2}^{2}$
x12 + 9x11 - 6x10 + 6x9 - 3x8 + 9x7 + 6x6 - 9x5 - 9x4 - 9x3 - 9x2 + 9 3 6 2 14 $C_6\times S_3$ $ [3/2]_{2}^{6}$
x12 + 12x11 - 6x10 + 6x9 - 12x8 + 12x6 - 9x4 - 9 3 6 2 14 12T73 $ [3/2, 3/2]_{2}^{6}$
x12 - 12x11 + 3x10 - 9x7 - 6x6 - 9x3 + 9x2 - 9 3 6 2 14 $S_3 \times C_4$ $ [3/2]_{2}^{4}$

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