## Results (1-50 of at least 1000)

Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
5.15.0.1 x15 + x2 + 2 $5$ $1$ $15$ $0$ $C_{15}$ (as 15T1) $[\ ]^{15}$
5.15.10.1 x15 - 625x3 + 6250 $5$ $3$ $5$ $10$ $S_3 \times C_5$ (as 15T4) $[\ ]_{3}^{10}$
5.15.15.1 x15 + 15x14 + 15x13 + 10x12 + 10x11 + 2x10 + 20x9 + 15x8 + 15x7 + 7x5 + 15x4 + 15x3 + 5x + 17 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.10 x15 + 5x14 + 15x13 + 5x12 + 20x11 + 12x10 + 20x9 + 10x7 + 5x6 + 22x5 + 5x4 + 10x3 + 5x + 22 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.11 x15 + 10x14 + 20x13 + 15x12 + 10x11 + 22x10 + 10x9 + 20x8 + 5x7 + 5x6 + 17x5 + 5x4 + 20x3 + 10x2 + 7 $5$ $5$ $3$ $15$ $(C_5^2 : C_4):C_3$ (as 15T19) $[5/4, 5/4]_{4}^{3}$
5.15.15.12 x15 + 10x14 + 20x13 + 5x12 + 15x11 + 7x10 + 20x9 + 10x8 + 20x7 + 5x6 + 7x5 + 5x4 + 20x3 + 10x2 + 5x + 22 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.13 x15 + 20x12 + 7x10 + 5x9 + 15x8 + 20x7 + 20x6 + 7x5 + 10x4 + 20x3 + 20x2 + 20x + 22 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.14 x15 + 5x14 + 15x13 + 20x12 + 20x11 + 2x10 + 15x9 + 5x7 + 20x6 + 12x5 + 20x2 + 7 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.15 x15 + 10x14 + 20x12 + 20x11 + 7x10 + 5x9 + 15x8 + 10x7 + 10x6 + 7x5 + 10x4 + 20x3 + 15x2 + 5x + 17 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.16 x15 + 15x14 + 15x13 + 10x12 + 10x11 + 7x10 + 15x8 + 20x7 + 15x6 + 17x5 + 20x4 + 20x3 + 5x2 + 5x + 7 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.17 x15 + 5x14 + 20x13 + 15x11 + 2x10 + 5x9 + 5x6 + 2x5 + 15x2 + 5x + 17 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.18 x15 + 20x13 + 10x12 + 15x11 + 17x10 + 10x9 + 15x8 + 20x7 + 20x6 + 7x5 + 20x4 + 20x3 + 10x2 + 10x + 2 $5$ $5$ $3$ $15$ $F_5\times C_3$ (as 15T8) $[5/4]_{4}^{3}$
5.15.15.19 x15 + 5x14 + 20x12 + 12x10 + 5x9 + 10x8 + 15x7 + 12x5 + 20x + 22 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.2 x15 + 5x14 + 20x13 + 5x11 + 17x10 + 15x9 + 5x8 + 20x7 + 10x6 + 12x5 + 15x4 + 20x3 + 15x2 + 22 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.20 x15 + 20x13 + 20x12 + 17x10 + 20x9 + 20x8 + 10x7 + 5x6 + 7x5 + 5x4 + 15x3 + 20x2 + 20x + 12 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.21 x15 + 10x14 + 5x13 + 20x12 + 22x10 + 15x6 + 17x5 + 5x3 + 15x2 + 2 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.22 x15 + 15x13 + 5x12 + 15x11 + 12x10 + 20x9 + 15x8 + 15x6 + 22x5 + 20x4 + 10x3 + 2 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.23 x15 + 20x14 + 5x13 + 5x12 + 22x10 + 15x9 + 5x8 + 15x7 + 10x6 + 7x5 + 15x2 + 15x + 7 $5$ $5$ $3$ $15$ $(C_5^2 : C_4):C_3$ (as 15T19) $[5/4, 5/4]_{4}^{3}$
5.15.15.24 x15 + 10x14 + 20x12 + 15x11 + 7x10 + 10x9 + 20x8 + 5x7 + 5x6 + 2x5 + 10x4 + 5x2 + 10x + 22 $5$ $5$ $3$ $15$ $(C_5^2 : C_4):C_3$ (as 15T19) $[5/4, 5/4]_{4}^{3}$
5.15.15.25 x15 + 5x14 + 5x13 + 20x12 + 20x11 + 22x10 + 20x8 + 5x7 + 12x5 + 15x4 + 5x2 + 20x + 12 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.26 x15 + 10x14 + 10x12 + 15x11 + 22x10 + 5x9 + 20x8 + 5x7 + 22x5 + 5x4 + 15x3 + 5x + 17 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.27 x15 + 15x14 + 5x13 + 5x12 + 7x10 + 5x8 + 5x6 + 17x5 + 10x4 + 20x3 + 20x2 + 5x + 2 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.28 x15 + 15x14 + 15x13 + 10x11 + 7x10 + 5x8 + 15x7 + 15x6 + 7x5 + 15x4 + 15x2 + 2 $5$ $5$ $3$ $15$ $(C_5^2 : C_4):C_3$ (as 15T19) $[5/4, 5/4]_{4}^{3}$
5.15.15.29 x15 + 20x14 + 15x13 + 12x10 + 15x9 + 10x8 + 5x7 + 20x6 + 2x5 + 15x2 + 10x + 22 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.3 x15 + 10x14 + 20x13 + 2x10 + 20x9 + 20x8 + 15x7 + 2x5 + 10x4 + 15x3 + 10x + 7 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.30 x15 + 10x14 + 15x13 + 5x12 + 10x11 + 22x10 + 5x9 + 10x8 + 10x7 + 5x6 + 12x5 + 15x4 + 10x3 + 5x2 + 15x + 7 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.31 x15 + 10x14 + 5x13 + 15x12 + 15x11 + 2x10 + 15x9 + 10x7 + 20x6 + 17x5 + 15x4 + 5x3 + 12 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.32 x15 + 15x14 + 5x13 + 20x12 + 5x11 + 12x10 + 20x9 + 15x8 + 15x6 + 2x5 + 10x4 + 10x3 + 10x + 12 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.33 x15 + 15x14 + 15x13 + 5x12 + 17x10 + 5x9 + 10x7 + 22x5 + 5x4 + 10x3 + 5x + 7 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.34 x15 + 15x12 + 15x11 + 12x10 + 20x8 + 22x5 + 10x4 + 20x3 + 15x + 17 $5$ $5$ $3$ $15$ $(C_5^2 : C_4):C_3$ (as 15T19) $[5/4, 5/4]_{4}^{3}$
5.15.15.35 x15 + 5x14 + 15x12 + 15x11 + 2x10 + 5x9 + 20x8 + 2x5 + 5x4 + 5x3 + 20x2 + 20x + 22 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.36 x15 + 15x14 + 5x13 + 20x12 + 15x11 + 12x10 + 20x9 + 15x8 + 5x7 + 20x6 + 12x5 + 15x4 + 15x2 + 20x + 2 $5$ $5$ $3$ $15$ $(C_5^2 : C_4):C_3$ (as 15T19) $[5/4, 5/4]_{4}^{3}$
5.15.15.37 x15 + 5x14 + 10x13 + 15x12 + 20x11 + 12x10 + 15x9 + 15x8 + 5x7 + 17x5 + 15x4 + 15x3 + 15x + 2 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.38 x15 + 10x14 + 5x13 + 10x12 + 15x11 + 17x10 + 20x9 + 15x8 + 10x7 + 17x5 + 20x4 + 5x3 + 20x + 17 $5$ $5$ $3$ $15$ $F_5\times C_3$ (as 15T8) $[5/4]_{4}^{3}$
5.15.15.39 x15 + 10x14 + 15x12 + 20x11 + 2x10 + 5x9 + 10x8 + 15x7 + 15x6 + 12x5 + 20x4 + 10x3 + 10x2 + 20x + 12 $5$ $5$ $3$ $15$ $(C_5^2 : C_4):C_3$ (as 15T19) $[5/4, 5/4]_{4}^{3}$
5.15.15.4 x15 + 5x14 + 5x13 + 10x12 + 10x11 + 22x10 + 10x9 + 20x7 + 12x5 + 20x4 + 5x3 + 10x2 + 10x + 12 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.40 x15 + 10x14 + 5x13 + 20x12 + 20x11 + 17x10 + 10x9 + 15x8 + 12x5 + 15x3 + 10x2 + 20x + 17 $5$ $5$ $3$ $15$ $F_5\times C_3$ (as 15T8) $[5/4]_{4}^{3}$
5.15.15.41 x15 + 10x14 + 10x13 + 15x12 + 10x11 + 7x10 + 20x9 + 5x8 + 15x7 + 10x6 + 12x5 + 10x4 + 15x3 + 10x2 + 5x + 17 $5$ $5$ $3$ $15$ $(C_5^2 : C_4):C_3$ (as 15T19) $[5/4, 5/4]_{4}^{3}$
5.15.15.42 x15 + 15x14 + 15x13 + 20x12 + 5x11 + 2x10 + 20x8 + 10x7 + 10x6 + 2x5 + 15x3 + 15x2 + 15x + 17 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.43 x15 + 20x14 + 15x13 + 15x12 + 5x11 + 12x10 + 10x9 + 20x8 + 5x7 + 20x6 + 22x5 + 20x4 + 15x2 + 5x + 17 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.44 x15 + 10x14 + 15x13 + 5x12 + 20x11 + 17x10 + 10x9 + 5x7 + 5x6 + 2x5 + 10x4 + 10x2 + 20x + 2 $5$ $5$ $3$ $15$ $F_5\times C_3$ (as 15T8) $[5/4]_{4}^{3}$
5.15.15.45 x15 - 5x14 - 5x13 + 5x12 - 10x11 + 5x10 - 5x9 - 5x8 + 5x7 + 5x6 - 5x5 - 10x4 + 10x3 + 10x2 - 10x + 5 $5$ $15$ $1$ $15$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[13/12, 13/12]_{12}^{2}$
5.15.15.46 x15 + 5x14 - 10x12 + 10x11 + 10x10 - 10x9 - 10x8 - 10x7 - 10x5 + 5x4 - 10x3 - 5x2 - 10x - 10 $5$ $15$ $1$ $15$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[13/12, 13/12]_{12}^{2}$
5.15.15.47 x15 - 10x14 - 10x13 - 5x12 - 10x11 - 5x10 + 10x8 + 5x6 + 10x5 + 10x4 - 5x3 + 10x2 + 5x - 5 $5$ $15$ $1$ $15$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[13/12, 13/12]_{12}^{2}$
5.15.15.48 x15 + 5x14 - 10x13 - 10x12 + 5x11 - 5x10 - 10x9 + 10x8 + 5x7 + 5x6 - 5x5 + 5x4 + 5x3 + 10x2 - 5x + 5 $5$ $15$ $1$ $15$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[13/12, 13/12]_{12}^{2}$
5.15.15.5 x15 + 5x14 + 15x12 + 10x11 + 2x10 + 10x9 + 20x8 + 20x7 + 5x6 + 22x5 + 10x4 + 10x2 + 2 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.6 x15 + 20x14 + 5x13 + 10x12 + 15x11 + 2x10 + 10x9 + 5x8 + 10x7 + 15x6 + 17x5 + 5x4 + 10x3 + 15x2 + 15x + 17 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.7 x15 + 20x14 + 5x13 + 15x12 + 7x10 + 10x9 + 20x8 + 20x7 + 5x6 + 7x5 + 10x4 + 5x3 + 20x + 22 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.8 x15 + 15x14 + 5x13 + 20x11 + 7x10 + 20x9 + 5x8 + 5x6 + 17x5 + 15x4 + 10x3 + 15x2 + 5x + 17 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$
5.15.15.9 x15 + 20x14 + 5x13 + 15x12 + 20x11 + 17x10 + 15x9 + 10x6 + 7x5 + 15x4 + 5x3 + 5x + 12 $5$ $5$ $3$ $15$ $C_5^3:C_{12}$ (as 15T38) $[5/4, 5/4, 5/4]_{4}^{3}$