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let polynomial_element.pyx's roots handle errors caused by invalid rings
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src/sage/rings/finite_rings/finite_field_base.pyx

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@@ -2191,7 +2191,7 @@ cdef class FiniteField(Field):
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if L.is_exact() and L.is_subring(K):
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return f._roots_in_subring(L, multiplicities)
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else:
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raise
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raise NotImplementedError
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return f_L.roots(multiplicities=multiplicities)
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if multiplicities:

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