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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content
2.12.16.3 x12 - 30x10 - 5x8 + 19x4 + 30x2 + 1 $2$ $6$ $2$ $16$ $C_6\times S_3$ (as 12T18) $[2]$ $[2]_{3}^{6}$
2.12.22.27 x12 + 2x6 + 4 $2$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[3]$ $[3]_{3}^{6}$
2.12.22.29 x12 - 2x6 + 4 $2$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[3]$ $[3]_{3}^{6}$
3.12.14.10 x12 - 9x11 + 9x10 + 9x9 - 12x8 - 9x5 + 9x4 + 9x3 + 9 $3$ $6$ $2$ $14$ $C_6\times S_3$ (as 12T18) $[3/2]$ $[3/2]_{2}^{6}$
3.12.14.15 x12 + 9x11 - 6x10 + 6x9 - 3x8 + 9x7 + 6x6 - 9x5 - 9x4 - 9x3 - 9x2 + 9 $3$ $6$ $2$ $14$ $C_6\times S_3$ (as 12T18) $[3/2]$ $[3/2]_{2}^{6}$
3.12.18.31 x12 + 15x10 + 36x9 + 36x8 - 18x7 + 12x6 + 27x5 + 9x4 - 27x3 - 27x - 18 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[3/2, 2]_{2}^{2}$
3.12.18.35 x12 - 39x11 - 12x9 + 27x8 - 27x7 + 18x6 - 9x5 - 36x4 - 27x3 - 27x2 + 27x + 36 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[3/2, 2]_{2}^{2}$
3.12.18.36 x12 + 27x11 + 36x10 - 12x9 + 9x8 + 9x6 + 36x5 + 18x4 - 36x3 + 27x - 18 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[3/2, 2]_{2}^{2}$
3.12.18.66 x12 + 6x11 - 6x10 + 6x9 - 9x6 + 9x5 + 9x3 + 9 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[2, 2]_{2}^{2}$
3.12.18.73 x12 - 33x11 - 30x10 + 3x9 - 9x8 + 27x7 + 15x6 + 36x5 - 36x4 + 36x3 + 27x2 - 27x - 18 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[2]_{2}^{6}$
3.12.18.76 x12 + 45x11 - 33x10 + 6x9 - 72x8 + 99x7 - 39x6 + 27x5 + 9x4 - 63x3 - 81x2 - 54x - 72 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[3/2, 2]_{2}^{2}$
3.12.18.79 x12 + 12x11 - 6x9 - 9x6 + 9x5 - 9x4 + 9 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[3/2, 2]_{2}^{2}$
3.12.18.84 x12 - 36x11 - 27x10 + 30x9 + 9x7 - 6x6 - 9x3 + 27x2 - 27x + 36 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[2, 2]_{2}^{2}$
3.12.18.86 x12 - 30x11 + 30x10 - 15x9 + 36x8 - 27x7 - 30x6 - 9x5 - 18x4 + 36x3 + 27x2 + 27x + 9 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[3/2, 2]_{2}^{2}$
3.12.18.87 x12 + 30x11 + 39x10 - 12x9 + 27x8 + 18x7 - 36x6 + 36x5 - 36x3 - 18 $3$ $6$ $2$ $18$ $C_6\times S_3$ (as 12T18) $[2]$ $[2, 2]_{2}^{2}$
3.12.22.25 x12 + 9x11 + 9x10 + 30x9 + 27x8 - 27x7 + 36x6 - 27x5 - 18x3 - 27x + 9 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
3.12.22.48 x12 + 18x11 - 27x10 + 21x9 + 18x8 + 18x7 + 27x5 - 27x4 - 27x3 - 18 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[5/2]_{2}^{6}$
3.12.22.63 x12 - 81x11 - 90x10 + 78x9 + 90x8 - 72x7 - 120x6 + 27x5 + 81x4 - 9x3 + 27x2 + 108x + 9 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
3.12.22.65 x12 + 27x11 + 18x10 + 33x9 - 9x8 + 36x7 + 18x6 + 18x3 - 27x - 18 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[5/2]_{2}^{6}$
3.12.22.66 x12 + 27x11 - 27x10 + 36x9 + 18x8 - 27x7 + 21x6 - 27x4 - 27x3 + 27x2 + 36 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
3.12.22.77 x12 + 9x10 + 27x9 - 18x8 - 36x7 - 27x6 - 27x5 + 36x3 - 27x2 + 36 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
3.12.22.82 x12 - 27x11 - 18x10 - 33x9 + 9x8 - 27x7 - 21x6 - 27x5 - 27x4 - 18x3 + 27x2 + 36 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
3.12.22.83 x12 + 27x11 - 27x10 + 3x9 - 9x8 - 36x7 - 9x6 + 27x5 + 36x3 + 27x + 36 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[5/2]_{2}^{6}$
3.12.22.85 x12 - 9x11 - 33x9 - 18x8 + 36x7 + 36x6 + 27x5 - 27x4 + 27x3 - 27x2 - 27x + 36 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
3.12.22.88 x12 - 18x11 - 36x10 - 36x8 + 36x7 + 33x6 + 27x5 + 27x3 - 27x2 + 27x - 18 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
3.12.22.93 x12 + 81x11 - 81x10 + 51x9 + 63x8 - 108x7 - 93x6 + 108x5 + 72x3 + 108x2 - 81x + 90 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
3.12.22.95 x12 - 27x11 + 9x10 + 12x9 + 27x8 + 36x7 - 9x6 - 27x5 - 27x4 + 18x3 + 27x + 36 $3$ $6$ $2$ $22$ $C_6\times S_3$ (as 12T18) $[5/2]$ $[2, 5/2]_{2}^{2}$
5.12.10.2 x12 + 15x6 + 100 $5$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
11.12.10.2 x12 + 143x6 + 5929 $11$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
17.12.10.2 x12 + 85x6 + 2601 $17$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
23.12.10.2 x12 + 299x6 + 25921 $23$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
29.12.10.2 x12 + 145x6 + 7569 $29$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
41.12.10.2 x12 + 943x6 + 242064 $41$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
47.12.10.2 x12 + 1175x6 + 373321 $47$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
53.12.10.2 x12 + 477x6 + 70225 $53$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
59.12.10.2 x12 + 177x6 + 13924 $59$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
71.12.10.2 x12 + 1491x6 + 609961 $71$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
83.12.10.2 x12 + 249x6 + 27556 $83$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
89.12.10.2 x12 + 979x6 + 285156 $89$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
101.12.10.2 x12 + 505x6 + 91809 $101$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
107.12.10.2 x12 + 963x6 + 286225 $107$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
113.12.10.2 x12 + 2147x6 + 1276900 $113$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
131.12.10.2 x12 + 3537x6 + 3363556 $131$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
137.12.10.2 x12 + 1507x6 + 675684 $137$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
149.12.10.2 x12 + 745x6 + 199809 $149$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
167.12.10.2 x12 + 1503x6 + 697225 $167$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
173.12.10.2 x12 + 1557x6 + 748225 $173$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
179.12.10.2 x12 + 2327x6 + 1570009 $179$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
191.12.10.2 x12 + 7067x6 + 13169641 $191$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
197.12.10.2 x12 + 985x6 + 349281 $197$ $6$ $2$ $10$ $C_6\times S_3$ (as 12T18) $[\ ]$ $[\ ]_{6}^{6}$
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