Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Slope content |
7.14.0.1 |
$14$ |
x14 + 2x2 - 2x + 3 |
$7$ |
$1$ |
$14$ |
$0$ |
$C_{14}$ (as 14T1) |
$14$ |
$1$ |
$[\ ]^{14}$ |
7.14.7.1 |
$14$ |
x14 - 117649x2 + 1647086 |
$7$ |
$2$ |
$7$ |
$7$ |
$C_{14}$ (as 14T1) |
$7$ |
$2$ |
$[\ ]_{2}^{7}$ |
7.14.7.2 |
$14$ |
x14 - 686x8 + 117649x2 - 3294172 |
$7$ |
$2$ |
$7$ |
$7$ |
$C_{14}$ (as 14T1) |
$7$ |
$2$ |
$[\ ]_{2}^{7}$ |
7.14.14.1 |
$14$ |
x14 + 14x13 + 7x12 + 21x11 + 14x10 + 7x9 + 28x8 + 36x7 + 7x6 + 35x5 + 42x4 + 28x3 + 35x2 + 28x + 31 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.10 |
$14$ |
x14 + 14x12 + 7x11 + 14x10 + 21x9 + 42x8 + 22x7 + 42x6 + 42x5 + 42x4 + 14x3 + 28x + 10 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.11 |
$14$ |
x14 + 7x13 + 35x12 + 35x11 + 21x8 + 15x7 + 42x6 + 42x5 + 21x3 + 3 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.12 |
$14$ |
x14 + 21x13 + 35x11 + 42x10 + 14x9 + 14x8 + 22x7 + 42x6 + 14x5 + 42x4 + 7x3 + 35x2 + 14x + 17 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.13 |
$14$ |
x14 + 28x13 + 21x12 + 14x11 + 7x10 + 7x9 + 43x7 + 21x5 + 21x4 + 14x3 + 35x2 + 7x + 31 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.14 |
$14$ |
x14 + 28x13 + 28x12 + 28x11 + 28x10 + x7 + 21x6 + 21x5 + 42x4 + 21x2 + 28x + 31 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.15 |
$14$ |
x14 + 14x13 + 42x11 + 42x10 + 14x9 + 36x7 + 7x6 + 14x5 + 42x4 + 28x3 + 42x2 + 10 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.16 |
$14$ |
x14 + 21x13 + 42x12 + 7x11 + 7x10 + 7x9 + 28x8 + 22x7 + 7x6 + 35x5 + 21x4 + 7x3 + 14x2 + 35x + 45 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.17 |
$14$ |
x14 + 14x13 + 42x12 + 14x11 + 28x10 + 35x8 + 8x7 + 14x3 + 35x + 10 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.18 |
$14$ |
x14 + 42x13 + 21x12 + 28x11 + 35x10 + 14x8 + 22x7 + 21x6 + 21x5 + 21x4 + 21x3 + 21x2 + 14x + 31 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.19 |
$14$ |
x14 + 35x13 + 21x12 + 28x11 + 7x10 + 7x9 + 43x7 + 28x6 + 28x5 + 21x4 + 7x2 + 42x + 10 |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.14.2 |
$14$ |
x14 + 14x13 + 21x11 + 14x10 + 14x8 + 15x7 + 14x6 + 21x5 + 21x3 + 21x2 + 35x + 45 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.20 |
$14$ |
x14 + 14x13 + 28x12 + 28x11 + 14x10 + 28x9 + 35x8 + 36x7 + 21x5 + 42x4 + 28x3 + 28x2 + 42x + 3 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.21 |
$14$ |
x14 + 28x12 + 42x11 + 42x9 + 21x8 + 29x7 + 21x6 + 35x5 + 7x4 + 14x3 + 28x2 + 42x + 45 |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.14.22 |
$14$ |
x14 + 42x13 + 14x12 + 14x11 + 28x9 + 28x8 + 15x7 + 35x6 + 35x5 + 7x4 + 42x3 + 7x2 + 28x + 31 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.23 |
$14$ |
x14 + 35x13 + 7x10 + 7x9 + 43x7 + 35x5 + 7x4 + 28x3 + 28x2 + 28x + 24 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.24 |
$14$ |
x14 + 7x13 + 7x11 + 7x10 + 42x9 + 14x8 + 22x7 + 35x6 + 21x4 + 7x3 + 7x2 + 42x + 17 |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.14.25 |
$14$ |
x14 + 14x13 + 14x12 + 28x11 + 7x9 + 28x8 + 22x7 + 35x6 + 21x5 + 14x4 + 21x + 38 |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.14.26 |
$14$ |
x14 + 42x13 + 28x12 + 21x11 + 14x10 + 14x8 + 29x7 + 42x6 + 28x5 + 7x4 + 35x3 + 35x2 + 35x + 31 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.27 |
$14$ |
x14 + 35x13 + 42x12 + 42x11 + 42x10 + 7x9 + 42x8 + 36x7 + 14x6 + 21x5 + 28x4 + 35x3 + 7x2 + 17 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.28 |
$14$ |
x14 - 14x11 - 21x8 - 14x6 + 21x5 - 7x4 - 7x3 - 21x2 - 14x + 21 |
$7$ |
$14$ |
$1$ |
$14$ |
$C_7^2:(C_3\times D_4)$ (as 14T32) |
$2$ |
$12$ |
$[13/12, 13/12]_{12}^{2}$ |
7.14.14.29 |
$14$ |
x14 + 7x13 - 21x11 - 14x10 - 21x9 + 7x7 + 21x6 + 14x5 + 7x4 - 14x3 - 14x2 - 14x - 14 |
$7$ |
$14$ |
$1$ |
$14$ |
$C_7^2:(C_3\times D_4)$ (as 14T32) |
$2$ |
$12$ |
$[13/12, 13/12]_{12}^{2}$ |
7.14.14.3 |
$14$ |
x14 + 28x13 + 14x12 + 21x11 + 21x8 + 15x7 + 35x6 + 21x5 + 28x4 + 42x3 + 28x2 + 3 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.30 |
$14$ |
x14 + 21x12 + 21x11 - 21x10 + 7x9 - 21x8 - 7x7 + 14x6 - 14x5 + 21x4 - 7x3 - 7x2 - 7x - 21 |
$7$ |
$14$ |
$1$ |
$14$ |
$C_7^2:(C_3\times D_4)$ (as 14T32) |
$2$ |
$12$ |
$[13/12, 13/12]_{12}^{2}$ |
7.14.14.31 |
$14$ |
x14 - 14x13 + 14x12 + 21x10 - 21x9 + 14x8 - 7x6 - 14x5 - 14x4 - 14x3 - 14x2 + 7x + 14 |
$7$ |
$14$ |
$1$ |
$14$ |
$C_7^2:(C_3\times D_4)$ (as 14T32) |
$2$ |
$12$ |
$[13/12, 13/12]_{12}^{2}$ |
7.14.14.32 |
$14$ |
x14 + 21x13 - 14x12 + 21x11 + 7x10 + 14x8 - 21x7 - 14x6 + 14x5 - 14x4 + 21x3 + 7x2 + 7x - 14 |
$7$ |
$14$ |
$1$ |
$14$ |
$C_7^2:(C_3\times D_4)$ (as 14T32) |
$2$ |
$12$ |
$[13/12, 13/12]_{12}^{2}$ |
7.14.14.33 |
$14$ |
x14 - 14x12 - 14x11 - 7x10 - 21x9 - 21x8 + 14x7 - 14x6 - 14x4 + 21x2 + 21x + 14 |
$7$ |
$14$ |
$1$ |
$14$ |
$C_7^2:(C_3\times D_4)$ (as 14T32) |
$2$ |
$12$ |
$[13/12, 13/12]_{12}^{2}$ |
7.14.14.4 |
$14$ |
x14 + 35x13 + 21x12 + 42x11 + 35x10 + 42x9 + 15x7 + 7x6 + 14x5 + 7x2 + 28x + 3 |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.14.5 |
$14$ |
x14 + 35x12 + 28x11 + 14x10 + 42x9 + 21x8 + x7 + 21x6 + 42x5 + 7x3 + 21x2 + 28x + 10 |
$7$ |
$7$ |
$2$ |
$14$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.14.6 |
$14$ |
x14 + 35x13 + 14x11 + 35x10 + 14x9 + 7x8 + 43x7 + 42x6 + 42x4 + 7x3 + 42x2 + 28x + 24 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.7 |
$14$ |
x14 + 14x13 + 21x12 + 35x11 + 14x10 + 7x9 + 21x8 + 15x7 + 14x6 + 21x5 + 35x4 + 42x3 + 14x2 + 14x + 38 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.8 |
$14$ |
x14 + 7x13 + 14x12 + 14x11 + 21x10 + 7x9 + 35x8 + 8x7 + 7x5 + 21x4 + 35x2 + 28x + 45 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:C_{12}$ (as 14T23) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.14.9 |
$14$ |
x14 + 7x13 + 35x12 + 7x11 + 42x10 + 42x9 + 42x8 + 43x7 + 14x6 + 35x5 + 14x4 + 7x + 3 |
$7$ |
$7$ |
$2$ |
$14$ |
$C_7^2:(C_2\times C_6)$ (as 14T24) |
$2$ |
$6$ |
$[7/6, 7/6]_{6}^{2}$ |
7.14.15.1 |
$14$ |
x14 + 21x13 + 14x12 + 7x11 - 14x10 - 7x9 - 7x8 - 7x7 - 7x6 - 21x5 - 7x4 - 14x3 + 7x2 + 21 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.15.10 |
$14$ |
x14 + 14x12 - 21x11 + 7x10 - 21x9 + 21x8 - 7x7 - 7x6 + 21x5 - 21x4 - 7x3 - 14x2 - 7 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]_{6}$ |
7.14.15.11 |
$14$ |
x14 - 14x11 - 21x10 - 21x9 + 7x8 + 21x7 - 14x6 + 7x5 + 21x4 + 14x3 - 7x2 + 14 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.15.12 |
$14$ |
x14 - 21x13 - 7x12 + 14x11 + 14x10 + 21x9 + 14x8 - 21x7 - 14x6 - 14x5 + 7x4 - 21x2 - 14 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.15.2 |
$14$ |
x14 - 21x13 - 21x12 - 21x11 - 14x10 + 7x9 + 21x7 - 7x6 + 14x5 - 21x3 - 14x2 - 21 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.15.3 |
$14$ |
x14 + 14x13 - 21x12 - 21x10 + 21x8 + 14x7 + 21x6 + 21x5 + 14x4 - 14x3 + 21x2 + 7 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.15.4 |
$14$ |
x14 + 14x12 + 7x11 + 7x10 - 21x9 - 21x8 + 14x7 - 7x6 + 21x5 - 21x3 + 14x2 - 7 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7 \times C_2$ (as 14T7) |
$2$ |
$6$ |
$[7/6]_{6}^{2}$ |
7.14.15.5 |
$14$ |
x14 - 21x13 + 7x12 + 14x11 - 21x9 + 7x7 + 14x6 - 21x4 + 14x3 + 7x2 + 14 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]_{6}$ |
7.14.15.6 |
$14$ |
x14 + 14x13 + 7x12 + 14x11 - 7x10 - 14x8 + 21x7 + 7x6 - 7x5 + 14x4 - 14x3 + 21x2 - 7 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]_{6}$ |
7.14.15.7 |
$14$ |
x14 + 21x13 - 14x12 - 14x11 + 14x10 - 14x9 - 14x8 - 21x7 - 14x6 - 21x5 - 7x4 + 14x3 - 21x2 - 21 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]_{6}$ |
7.14.15.8 |
$14$ |
x14 - 21x12 - 21x11 + 21x10 + 21x9 - 14x7 + 7x6 + 7x5 + 7x3 - 7x2 - 14 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]_{6}$ |
7.14.15.9 |
$14$ |
x14 - 7x13 - 21x12 + 21x11 + 21x10 + 14x9 - 7x7 - 14x5 - 14x4 + 7x3 + 14x2 + 14 |
$7$ |
$14$ |
$1$ |
$15$ |
$F_7$ (as 14T4) |
$1$ |
$6$ |
$[7/6]_{6}$ |
7.14.16.1 |
$14$ |
x14 + 28x13 + 21x12 + 42x11 + 14x10 + 28x8 + 37x7 + 28x5 + 7x4 + 7x3 + 35x2 + 28x + 31 |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_6$ (as 14T14) |
$2$ |
$3$ |
$[4/3, 4/3]_{3}^{2}$ |
7.14.16.10 |
$14$ |
x14 + 7x13 + 42x12 + 7x11 + 21x9 + 14x8 + 44x7 + 35x6 + 35x5 + 21x4 + 21x3 + 21x2 + 14x + 3 |
$7$ |
$7$ |
$2$ |
$16$ |
$C_7^2:C_{12}$ (as 14T23) |
$4$ |
$3$ |
$[4/3, 4/3]_{3}^{4}$ |