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Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
x15 + x2 + 2 5 1 15 0 $C_{15}$ (as 15T1) $ [\ ]^{15}$
x15 - 625x3 + 6250 5 3 5 10 $S_3 \times C_5$ (as 15T4) $ [\ ]_{3}^{10}$
x15 + 15x14 + 15x13 + 10x12 + 10x11 + 2x10 + 20x9 + 15x8 + 15x7 + 7x5 + 15x4 + 15x3 + 5x + 17 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 5x14 + 15x13 + 5x12 + 20x11 + 12x10 + 20x9 + 10x7 + 5x6 + 22x5 + 5x4 + 10x3 + 5x + 22 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
x15 + 10x14 + 20x13 + 5x12 + 15x11 + 7x10 + 20x9 + 10x8 + 20x7 + 5x6 + 7x5 + 5x4 + 20x3 + 10x2 + 5x + 22 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 20x12 + 7x10 + 5x9 + 15x8 + 20x7 + 20x6 + 7x5 + 10x4 + 20x3 + 20x2 + 20x + 22 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 5x14 + 15x13 + 20x12 + 20x11 + 2x10 + 15x9 + 5x7 + 20x6 + 12x5 + 20x2 + 7 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 10x14 + 20x12 + 20x11 + 7x10 + 5x9 + 15x8 + 10x7 + 10x6 + 7x5 + 10x4 + 20x3 + 15x2 + 5x + 17 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 15x14 + 15x13 + 10x12 + 10x11 + 7x10 + 15x8 + 20x7 + 15x6 + 17x5 + 20x4 + 20x3 + 5x2 + 5x + 7 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 5x14 + 20x13 + 15x11 + 2x10 + 5x9 + 5x6 + 2x5 + 15x2 + 5x + 17 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
x15 + 5x14 + 20x12 + 12x10 + 5x9 + 10x8 + 15x7 + 12x5 + 20x + 22 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 5x14 + 20x13 + 5x11 + 17x10 + 15x9 + 5x8 + 20x7 + 10x6 + 12x5 + 15x4 + 20x3 + 15x2 + 22 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 20x13 + 20x12 + 17x10 + 20x9 + 20x8 + 10x7 + 5x6 + 7x5 + 5x4 + 15x3 + 20x2 + 20x + 12 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 10x14 + 5x13 + 20x12 + 22x10 + 15x6 + 17x5 + 5x3 + 15x2 + 2 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 15x13 + 5x12 + 15x11 + 12x10 + 20x9 + 15x8 + 15x6 + 22x5 + 20x4 + 10x3 + 2 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
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}$
x15 + 5x14 + 5x13 + 20x12 + 20x11 + 22x10 + 20x8 + 5x7 + 12x5 + 15x4 + 5x2 + 20x + 12 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 10x14 + 10x12 + 15x11 + 22x10 + 5x9 + 20x8 + 5x7 + 22x5 + 5x4 + 15x3 + 5x + 17 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 15x14 + 5x13 + 5x12 + 7x10 + 5x8 + 5x6 + 17x5 + 10x4 + 20x3 + 20x2 + 5x + 2 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
x15 + 20x14 + 15x13 + 12x10 + 15x9 + 10x8 + 5x7 + 20x6 + 2x5 + 15x2 + 10x + 22 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 10x14 + 20x13 + 2x10 + 20x9 + 20x8 + 15x7 + 2x5 + 10x4 + 15x3 + 10x + 7 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 10x14 + 15x13 + 5x12 + 10x11 + 22x10 + 5x9 + 10x8 + 10x7 + 5x6 + 12x5 + 15x4 + 10x3 + 5x2 + 15x + 7 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 10x14 + 5x13 + 15x12 + 15x11 + 2x10 + 15x9 + 10x7 + 20x6 + 17x5 + 15x4 + 5x3 + 12 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 15x14 + 5x13 + 20x12 + 5x11 + 12x10 + 20x9 + 15x8 + 15x6 + 2x5 + 10x4 + 10x3 + 10x + 12 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 15x14 + 15x13 + 5x12 + 17x10 + 5x9 + 10x7 + 22x5 + 5x4 + 10x3 + 5x + 7 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
x15 + 5x14 + 15x12 + 15x11 + 2x10 + 5x9 + 20x8 + 2x5 + 5x4 + 5x3 + 20x2 + 20x + 22 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
x15 + 5x14 + 10x13 + 15x12 + 20x11 + 12x10 + 15x9 + 15x8 + 5x7 + 17x5 + 15x4 + 15x3 + 15x + 2 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
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}$
x15 + 5x14 + 5x13 + 10x12 + 10x11 + 22x10 + 10x9 + 20x7 + 12x5 + 20x4 + 5x3 + 10x2 + 10x + 12 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
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}$
x15 + 15x14 + 15x13 + 20x12 + 5x11 + 2x10 + 20x8 + 10x7 + 10x6 + 2x5 + 15x3 + 15x2 + 15x + 17 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 20x14 + 15x13 + 15x12 + 5x11 + 12x10 + 10x9 + 20x8 + 5x7 + 20x6 + 22x5 + 20x4 + 15x2 + 5x + 17 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
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}$
x15 - 5x14 - 5x13 + 5x12 - 10x11 + 5x10 - 5x9 - 5x8 + 5x7 + 5x6 - 5x5 - 10x4 + 10x3 + 10x2 - 10x + 5 5 15 1 15 15T27 $ [13/12, 13/12]_{12}^{2}$
x15 + 5x14 - 10x12 + 10x11 + 10x10 - 10x9 - 10x8 - 10x7 - 10x5 + 5x4 - 10x3 - 5x2 - 10x - 10 5 15 1 15 15T27 $ [13/12, 13/12]_{12}^{2}$
x15 - 10x14 - 10x13 - 5x12 - 10x11 - 5x10 + 10x8 + 5x6 + 10x5 + 10x4 - 5x3 + 10x2 + 5x - 5 5 15 1 15 15T27 $ [13/12, 13/12]_{12}^{2}$
x15 + 5x14 - 10x13 - 10x12 + 5x11 - 5x10 - 10x9 + 10x8 + 5x7 + 5x6 - 5x5 + 5x4 + 5x3 + 10x2 - 5x + 5 5 15 1 15 15T27 $ [13/12, 13/12]_{12}^{2}$
x15 + 5x14 + 15x12 + 10x11 + 2x10 + 10x9 + 20x8 + 20x7 + 5x6 + 22x5 + 10x4 + 10x2 + 2 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 20x14 + 5x13 + 10x12 + 15x11 + 2x10 + 10x9 + 5x8 + 10x7 + 15x6 + 17x5 + 5x4 + 10x3 + 15x2 + 15x + 17 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 20x14 + 5x13 + 15x12 + 7x10 + 10x9 + 20x8 + 20x7 + 5x6 + 7x5 + 10x4 + 5x3 + 20x + 22 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 15x14 + 5x13 + 20x11 + 7x10 + 20x9 + 5x8 + 5x6 + 17x5 + 15x4 + 10x3 + 15x2 + 5x + 17 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$
x15 + 20x14 + 5x13 + 15x12 + 20x11 + 17x10 + 15x9 + 10x6 + 7x5 + 15x4 + 5x3 + 5x + 12 5 5 3 15 15T38 $ [5/4, 5/4, 5/4]_{4}^{3}$

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