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To extract the independent variable from a SymPy Poly object, you can use the gens attribute. The gens attribute returns a tuple of the generator symbols of the Poly. The independent variable is typically the first generator symbol in the tuple.
For example, consider the following SymPy Poly object:
from sympy import Poly, symbols
x, y = symbols('x y')
p = Poly(x**2 + 2*x*y**2, x, y)
To extract the independent variable from p, you can use the gens attribute as follows:
independent_variable = p.gens[0]
print(independent_variable) # Output: x
Note that the gens attribute returns a tuple, so you can access the generator symbols by their index in the tuple. In this case, since x is the first generator symbol, we access it with index 0.