class_docstr: Special functions for solvable quintics
class_docstr_tok: ["Special","functions","for","solvable","quintics"]
code: def F(self):
      p, q, r, s = self.p, self.q, self.r, self.s
      F = (
          4 * p**6 * q**6
          + 59 * p**3 * q**8
          + 216 * q**10
          - 36 * p**7 * q**4 * r
          - 623 * p**4 * q**6 * r
          - 2610 * p * q**8 * r
          + 81 * p**8 * q**2 * r**2
          + 2015 * p**5 * q**4 * r**2
          + 10825 * p**2 * q**6 * r**2
          - 1800 * p**6 * q**2 * r**3
          - 17500 * p**3 * q**4 * r**3
          + 625 * q**6 * r**3
          + 10000 * p**4 * q**2 * r**4
          + 108 * p**8 * q**3 * s
          + 1584 * p**5 * q**5 * s
          + 5700 * p**2 * q**7 * s
          - 486 * p**9 * q * r * s
          - 9720 * p**6 * q**3 * r * s
          - 45050 * p**3 * q**5 * r * s
          - 9000 * q**7 * r * s
          + 10800 * p**7 * q * r**2 * s
          + 92500 * p**4 * q**3 * r**2 * s
          + 32500 * p * q**5 * r**2 * s
          - 60000 * p**5 * q * r**3 * s
          - 50000 * p**2 * q**3 * r**3 * s
          + 729 * p**10 * s**2
          + 12150 * p**7 * q**2 * s**2
          + 60000 * p**4 * q**4 * s**2
          + 93750 * p * q**6 * s**2
          - 18225 * p**8 * r * s**2
          - 175500 * p**5 * q**2 * r * s**2
          - 478125 * p**2 * q**4 * r * s**2
          + 135000 * p**6 * r**2 * s**2
          + 850000 * p**3 * q**2 * r**2 * s**2
          + 15625 * q**4 * r**2 * s**2
          - 250000 * p**4 * r**3 * s**2
          + 225000 * p**3 * q**3 * s**3
          + 175000 * q**5 * s**3
          - 1012500 * p**4 * q * r * s**3
          - 1187500 * p * q**3 * r * s**3
          + 1250000 * p**2 * q * r**2 * s**3
          + 928125 * p**5 * s**4
          + 1875000 * p**2 * q**2 * s**4
          - 2812500 * p**3 * r * s**4
          - 390625 * q**2 * r * s**4
          - 9765625 * s**6
      )
      return F
  
file_path: sympy/sympy/polys/polyquinticconst.py
imports: from sympy.core import Symbol
  from sympy.core.evalf import N
  from sympy.core.numbers import I, Rational
  from sympy.functions import sqrt
  from sympy.polys.polytools import Poly
  from sympy.utilities import public
label_desc: Use image node_id 7 for calling the PolyQuintic obj's underlying member method code with example usage: obj.F() and returns: F