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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content
7.15.0.1 x15 + 5x6 + 6x5 + 6x4 + 4x3 + x2 + 2x + 4 $7$ $1$ $15$ $0$ $C_{15}$ (as 15T1) $[\ ]$ $[\ ]^{15}$
7.15.10.1 x15 + 35x12 + 3x11 + 12x10 + 490x9 - 315x8 - 2517x7 + 3454x6 - 834x5 + 26565x4 + 12846x3 + 13662x2 - 19944x + 16290 $7$ $3$ $5$ $10$ $C_{15}$ (as 15T1) $[\ ]$ $[\ ]_{3}^{5}$
7.15.10.2 x15 + 2401x3 - 67228 $7$ $3$ $5$ $10$ $C_{15}$ (as 15T1) $[\ ]$ $[\ ]_{3}^{5}$
7.15.10.3 x15 + 98x9 + 2401x3 + 268912 $7$ $3$ $5$ $10$ $C_{15}$ (as 15T1) $[\ ]$ $[\ ]_{3}^{5}$
7.15.12.1 x15 + 30x14 + 360x13 + 2180x12 + 6960x11 + 12117x10 + 17860x9 + 33840x8 + 45000x7 + 90640x6 - 100029x5 - 595410x4 - 585880x3 + 441960x2 + 576240x + 404231 $7$ $5$ $3$ $12$ $F_5\times C_3$ (as 15T8) $[\ ]$ $[\ ]_{5}^{12}$
7.15.14.1 x15 + 7 $7$ $15$ $1$ $14$ $F_5\times C_3$ (as 15T8) $[\ ]$ $[\ ]_{15}^{4}$
7.15.14.2 x15 + 14 $7$ $15$ $1$ $14$ $F_5\times C_3$ (as 15T8) $[\ ]$ $[\ ]_{15}^{4}$
7.15.14.3 x15 + 21 $7$ $15$ $1$ $14$ $F_5\times C_3$ (as 15T8) $[\ ]$ $[\ ]_{15}^{4}$
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