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# sympy__sympy-22005
# Loki Mode Multi-Agent Patch
# Attempts: 1
--- a/sympy/solvers/polysys.py
+++ b/sympy/solvers/polysys.py
@@ -237,10 +237,14 @@ def _solve_reduced_system(system, gens, entry=False):
basis = groebner(system, gens, polys=True)
+ if len(basis) < len(gens):
+ raise NotImplementedError(filldedent('''
+ only zero-dimensional systems supported
+ (finite number of solutions)
+ '''))
+
univariate = list(filter(_is_univariate, basis))
- if len(univariate) == 1:
+ if len(univariate) == 1 and len(gens) == 1:
f = univariate.pop()
else:
raise NotImplementedError(filldedent('''
--- a/sympy/solvers/tests/test_polysys.py
+++ b/sympy/solvers/tests/test_polysys.py
@@ -48,6 +48,10 @@ def test_solve_poly_system():
raises(NotImplementedError, lambda: solve_poly_system(
[z, -2*x*y**2 + x + y**2*z, y**2*(-z - 4) + 2]))
raises(PolynomialError, lambda: solve_poly_system([1/x], x))
+ raises(NotImplementedError, lambda: solve_poly_system(
+ Poly(x - 1, x, y), (x, y)))
+ raises(NotImplementedError, lambda: solve_poly_system(
+ Poly(y - 1, x, y), (x, y)))
def test_solve_biquadratic():