(eq, param=symbols("m", integer=True))
Solves the general pythagorean equation,
    `a_{1}^2x_{1}^2 + a_{2}^2x_{2}^2 + . . . + a_{n}^2x_{n}^2 - a_{n + 1}^2x_{n + 1}^2 = 0`.

    Returns a tuple which contains a parametrized solution to the equation,
    sorted in the same order as the input variables.

    Usage
    =====

    ``diop_general_pythagorean(eq, param)``: where ``eq`` is a general
    pythagorean equation which is assumed to be zero and ``param`` is the base
    parameter used to construct other parameters by subscripting.

    Examples
    ========

    >>> from sympy.solvers.diophantine import diop_general_pythagorean
    >>> from sympy.abc import a, b, c, d, e
    >>> diop_general_pythagorean(a**2 + b**2 + c**2 - d**2)
    (m1**2 + m2**2 - m3**2, 2*m1*m3, 2*m2*m3, m1**2 + m2**2 + m3**2)
    >>> diop_general_pythagorean(9*a**2 - 4*b**2 + 16*c**2 + 25*d**2 + e**2)
    (10*m1**2  + 10*m2**2  + 10*m3**2 - 10*m4**2, 15*m1**2  + 15*m2**2  + 15*m3**2  + 15*m4**2, 15*m1*m4, 12*m2*m4, 60*m3*m4)
Solves the general pythagorean equation,
    `a_{1}^2x_{1}^2 + a_{2}^2x_{2}^2 + . . . + a_{n}^2x_{n}^2 - a_{n + 1}^2x_{n + 1}^2 = 0`.
Solves the general pythagorean equation a_ { 1 } ^2x_ { 1 } ^2 + a_ { 2 } ^2x_ { 2 } ^2 + . . . + a_ { n } ^2x_ { n } ^2 - a_ { n + 1 } ^2x_ { n + 1 } ^2 = 0 .
def diop_general_pythagorean(eq, param=symbols("m", integer=True)):
    """
    Solves the general pythagorean equation,
    `a_{1}^2x_{1}^2 + a_{2}^2x_{2}^2 + . . . + a_{n}^2x_{n}^2 - a_{n + 1}^2x_{n + 1}^2 = 0`.

    Returns a tuple which contains a parametrized solution to the equation,
    sorted in the same order as the input variables.

    Usage
    =====

    ``diop_general_pythagorean(eq, param)``: where ``eq`` is a general
    pythagorean equation which is assumed to be zero and ``param`` is the base
    parameter used to construct other parameters by subscripting.

    Examples
    ========

    >>> from sympy.solvers.diophantine import diop_general_pythagorean
    >>> from sympy.abc import a, b, c, d, e
    >>> diop_general_pythagorean(a**2 + b**2 + c**2 - d**2)
    (m1**2 + m2**2 - m3**2, 2*m1*m3, 2*m2*m3, m1**2 + m2**2 + m3**2)
    >>> diop_general_pythagorean(9*a**2 - 4*b**2 + 16*c**2 + 25*d**2 + e**2)
    (10*m1**2  + 10*m2**2  + 10*m3**2 - 10*m4**2, 15*m1**2  + 15*m2**2  + 15*m3**2  + 15*m4**2, 15*m1*m4, 12*m2*m4, 60*m3*m4)
    """
    var, coeff, diop_type  = classify_diop(eq)

    if diop_type == "general_pythagorean":
        return _diop_general_pythagorean(var, coeff, param)
def diop_general_pythagorean ( eq , param = symbols ( "m" , integer = True ) ) : var , coeff , diop_type = classify_diop ( eq ) if diop_type == "general_pythagorean" : return _diop_general_pythagorean ( var , coeff , param )