## Results (1-50 of 785 matches)

Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
3.12.0.1 x12 - x4 - x3 - x2 + x - 1 $3$ $1$ $12$ $0$ $C_{12}$ (as 12T1) $[\ ]^{12}$
3.12.6.1 x12 - 243x2 + 1458 $3$ $2$ $6$ $6$ $C_{12}$ (as 12T1) $[\ ]_{2}^{6}$
3.12.6.2 x12 + 108x6 - 243x2 + 2916 $3$ $2$ $6$ $6$ $C_6\times C_2$ (as 12T2) $[\ ]_{2}^{6}$
3.12.9.1 x12 - 6x8 + 9x4 - 27 $3$ $4$ $3$ $9$ $D_4 \times C_3$ (as 12T14) $[\ ]_{4}^{6}$
3.12.9.2 x12 - 9x4 + 27 $3$ $4$ $3$ $9$ $D_4 \times C_3$ (as 12T14) $[\ ]_{4}^{6}$
3.12.12.1 x12 + 27x6 + 81x5 - 54x3 - 81x - 81 $3$ $3$ $4$ $12$ $C_3^4:C_8$ (as 12T173) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.10 x12 + 9x11 + 36x10 - 72x9 + 18x8 + 45x7 + 99x6 + 54x5 + 81x4 - 81x3 + 81x2 - 81x + 81 $3$ $3$ $4$ $12$ $C_3^4:C_8$ (as 12T173) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.11 x12 + 18x11 - 120x10 - 33x9 - 99x8 - 117x7 + 108x6 + 54x4 - 81x2 - 81x - 81 $3$ $3$ $4$ $12$ $C_3^4:(C_2\times C_4)$ (as 12T170) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.12 x12 + 165x10 - 312x9 - 288x8 - 180x7 - 36x6 - 135x5 - 243x4 + 54x3 + 81x2 + 81x - 162 $3$ $3$ $4$ $12$ $C_2\times C_3:S_3.C_2$ (as 12T41) $[3/2, 3/2]_{2}^{4}$
3.12.12.13 x12 + 42x11 - 57x10 - 36x9 - 117x8 - 54x7 - 18x6 - 27x5 + 54x4 + 108x3 - 81x2 + 81x + 81 $3$ $3$ $4$ $12$ $C_3^4:C_8$ (as 12T173) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.14 x12 + 48x10 + 96x9 + 36x8 + 99x7 - 99x6 + 81x4 - 27x3 - 81x + 81 $3$ $3$ $4$ $12$ $C_3^4:C_8$ (as 12T173) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.15 x12 + 12x11 + 87x10 + 57x9 + 81x8 - 36x6 + 54x5 + 54x4 + 54x3 - 81x - 81 $3$ $3$ $4$ $12$ $C_3^4:C_8$ (as 12T173) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.16 x12 + 24x11 + 42x10 - 39x9 - 99x8 + 18x7 - 27x6 - 54x4 + 27x3 - 81x + 81 $3$ $3$ $4$ $12$ $C_3^4:(C_2\times C_4)$ (as 12T170) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.17 x12 + 12x11 - 120x10 + 108x9 + 90x8 + 99x7 + 90x6 - 27x5 + 54x4 + 81x3 - 81x2 - 81 $3$ $3$ $4$ $12$ $C_3^4:(C_2\times C_4)$ (as 12T170) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.18 x12 + 42x11 - 48x10 - 114x9 - 99x8 - 54x7 - 90x6 - 108x5 + 27x4 - 27x3 + 81x2 + 81x - 81 $3$ $3$ $4$ $12$ $F_9$ (as 12T46) $[3/2, 3/2]_{2}^{4}$
3.12.12.19 x12 + 33x11 - 9x10 - 18x9 - 18x8 + 81x7 - 63x6 + 108x5 - 54x4 + 81x3 + 81x2 + 81x - 81 $3$ $3$ $4$ $12$ $S_3\times C_3:S_3.C_2$ (as 12T119) $[3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.2 x12 + 78x10 - 75x9 - 36x8 + 36x7 + 81x6 - 81x5 - 81x4 + 81x3 + 81x2 + 81x - 81 $3$ $3$ $4$ $12$ $C_3^4:C_8$ (as 12T173) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.20 x12 + 33x11 + 81x10 - 75x9 - 81x8 + 81x7 - 54x6 + 54x5 + 81x4 + 81x3 + 81x2 + 81x - 81 $3$ $3$ $4$ $12$ $C_3^4:C_8$ (as 12T173) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.21 x12 + 12x11 + 108x10 + 108x9 - 72x8 - 99x7 - 72x6 - 108x5 - 27x4 + 108x3 + 81x + 81 $3$ $3$ $4$ $12$ $C_3^4:C_8$ (as 12T173) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.22 x12 + 18x11 + 21x10 - 69x9 - 81x8 + 72x7 - 90x6 - 108x5 + 54x4 - 108x3 - 81 $3$ $3$ $4$ $12$ $S_3\times C_3:S_3.C_2$ (as 12T119) $[3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.23 x12 + 21x11 + 21x10 + 63x9 + 36x8 + 54x7 + 90x6 + 81x3 - 81 $3$ $3$ $4$ $12$ $S_3 \times C_4$ (as 12T11) $[3/2]_{2}^{4}$
3.12.12.24 x12 + 3x7 + 3x6 - 9x2 + 9x - 9 $3$ $6$ $2$ $12$ $C_3^4.\OD_{16}$ (as 12T215) $[5/4, 5/4, 5/4, 5/4]_{4}^{4}$
3.12.12.25 x12 + 3x11 + 6x10 + 6x9 + 9x8 - 3x7 + 3x6 - 9x5 + 9x2 - 9 $3$ $6$ $2$ $12$ $C_3^4.\OD_{16}$ (as 12T215) $[5/4, 5/4, 5/4, 5/4]_{4}^{4}$
3.12.12.26 x12 - 9x11 - 6x10 + 6x9 - 12x8 + 12x7 - 12x6 + 9x4 + 9x + 9 $3$ $6$ $2$ $12$ $S_3\wr C_2$ (as 12T34) $[5/4, 5/4]_{4}^{2}$
3.12.12.27 x12 - 12x11 + 3x10 - 9x9 + 3x8 + 3x7 + 6x6 + 9x3 + 9x + 9 $3$ $6$ $2$ $12$ $\PSU(3,2)$ (as 12T47) $[5/4, 5/4]_{4}^{2}$
3.12.12.28 x12 + 12x11 - 3x10 + 3x9 + 3x8 + 6x7 + 12x6 + 9x5 + 9x4 + 9x + 9 $3$ $6$ $2$ $12$ $S_3\wr C_2$ (as 12T34) $[5/4, 5/4]_{4}^{2}$
3.12.12.29 x12 + 3x + 3 $3$ $12$ $1$ $12$ $\PSU(3,2):C_2$ (as 12T84) $[9/8, 9/8]_{8}^{2}$
3.12.12.3 x12 + 42x10 - 87x9 + 90x8 - 99x7 - 72x6 - 54x5 - 27x4 - 108x3 - 81 $3$ $3$ $4$ $12$ $C_3^4:(C_2\times C_4)$ (as 12T170) $[3/2, 3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.30 x12 - 3x10 + 3x7 + 3x5 + 3x4 + 3x3 + 3x2 - 3x - 3 $3$ $12$ $1$ $12$ $\PSU(3,2):C_2$ (as 12T84) $[9/8, 9/8]_{8}^{2}$
3.12.12.4 x12 + 33x11 - 24x10 + 66x9 - 45x8 + 99x7 - 99x6 + 81x5 + 27x4 + 27x3 + 81x2 + 81 $3$ $3$ $4$ $12$ $F_9$ (as 12T46) $[3/2, 3/2]_{2}^{4}$
3.12.12.5 x12 + 33x11 - 63x10 - 36x9 - 90x8 - 54x7 - 54x6 - 108x4 - 27x3 - 81x2 + 81x - 81 $3$ $3$ $4$ $12$ $S_3 \times C_4$ (as 12T11) $[3/2]_{2}^{4}$
3.12.12.6 x12 + 24x11 - 3x10 + 81x9 - 18x8 + 54x7 + 108x5 - 54x4 - 27x3 - 81x - 81 $3$ $3$ $4$ $12$ $C_2.S_3^2$ (as 12T39) $[3/2, 3/2]_{2}^{4}$
3.12.12.7 x12 + 12x11 + 108x10 + 105x9 - 45x8 + 45x7 - 81x6 - 108x5 + 27x4 - 81x3 - 81x2 + 81x - 81 $3$ $3$ $4$ $12$ $S_3\times C_3:S_3.C_2$ (as 12T119) $[3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.8 x12 + 21x11 + 81x10 - 78x9 - 63x8 - 99x7 + 117x6 - 54x5 - 54x4 + 81x2 - 81x + 81 $3$ $3$ $4$ $12$ $S_3\times C_3:S_3.C_2$ (as 12T119) $[3/2, 3/2, 3/2]_{2}^{4}$
3.12.12.9 x12 + 24x11 + 21x10 + 21x9 + 63x8 - 54x7 + 81x5 - 54x4 - 27x3 - 81x2 - 81x + 81 $3$ $3$ $4$ $12$ $C_2\times C_3:S_3.C_2$ (as 12T41) $[3/2, 3/2]_{2}^{4}$
3.12.13.1 x12 + 3x2 + 3 $3$ $12$ $1$ $13$ $S_3\wr C_2$ (as 12T36) $[5/4, 5/4]_{4}^{2}$
3.12.13.2 x12 - 3x10 + 3x6 + 3x5 - 3x3 - 3x2 + 3 $3$ $12$ $1$ $13$ $C_3\times S_3\wr C_2$ (as 12T121) $[5/4, 5/4]_{4}^{6}$
3.12.13.3 x12 + 3x10 + 3x9 + 3x8 + 3x7 + 3x3 + 3x2 - 3 $3$ $12$ $1$ $13$ $C_3\times S_3\wr C_2$ (as 12T121) $[5/4, 5/4]_{4}^{6}$
3.12.13.4 x12 - 3x10 + 3x6 - 3x5 + 3x4 - 3x2 - 3 $3$ $12$ $1$ $13$ $S_3\wr C_2$ (as 12T36) $[5/4, 5/4]_{4}^{2}$
3.12.13.5 x12 + 3x11 + 3x9 - 3x8 + 3x6 - 3x2 + 3 $3$ $12$ $1$ $13$ $S_3\wr C_2$ (as 12T35) $[5/4, 5/4]_{4}^{2}$
3.12.13.6 x12 + 3x11 + 3x7 + 3x6 + 3x4 + 3x2 - 3 $3$ $12$ $1$ $13$ $S_3\wr C_2$ (as 12T35) $[5/4, 5/4]_{4}^{2}$
3.12.14.1 x12 + 3x8 + 3x6 - 9x4 + 9x2 - 9 $3$ $6$ $2$ $14$ $(C_3\times C_3):C_4$ (as 12T17) $[3/2, 3/2]_{2}^{2}$
3.12.14.10 x12 - 9x11 + 9x10 + 9x9 - 12x8 - 9x5 + 9x4 + 9x3 + 9 $3$ $6$ $2$ $14$ $C_6\times S_3$ (as 12T18) $[3/2]_{2}^{6}$
3.12.14.11 x12 + 6x11 + 21x10 + 36x9 + 30x8 + 36x7 + 3x6 + 36x5 + 27x4 - 9x2 + 36 $3$ $6$ $2$ $14$ $D_6$ (as 12T3) $[3/2]_{2}^{2}$
3.12.14.12 x12 + 9x11 + 9x10 + 12x8 + 12x6 + 9x5 + 9x4 - 9x2 - 9 $3$ $6$ $2$ $14$ $C_2.S_3^2$ (as 12T39) $[3/2, 3/2]_{2}^{4}$
3.12.14.13 x12 + 9x11 - 9x10 - 3x9 - 6x8 + 9x7 - 6x6 + 9x4 + 9x3 - 9 $3$ $6$ $2$ $14$ $C_3\times C_3:S_3.C_2$ (as 12T73) $[3/2, 3/2]_{2}^{6}$
3.12.14.14 x12 - 12x11 - 3x10 - 6x8 + 3x6 - 9x5 - 9x4 - 9 $3$ $6$ $2$ $14$ $(C_3\times C_3):C_4$ (as 12T17) $[3/2, 3/2]_{2}^{2}$
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) $[3/2]_{2}^{6}$
3.12.14.2 x12 + 12x11 - 6x10 + 6x9 - 12x8 + 12x6 - 9x4 - 9 $3$ $6$ $2$ $14$ $C_3\times C_3:S_3.C_2$ (as 12T73) $[3/2, 3/2]_{2}^{6}$
3.12.14.3 x12 - 12x11 + 3x10 - 9x7 - 6x6 - 9x3 + 9x2 - 9 $3$ $6$ $2$ $14$ $S_3 \times C_4$ (as 12T11) $[3/2]_{2}^{4}$