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remove is_isomorphic method
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src/sage/rings/function_field/drinfeld_modules/drinfeld_module.py

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Original file line numberDiff line numberDiff line change
@@ -1267,71 +1267,6 @@ def is_finite(self) -> bool:
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from sage.rings.function_field.drinfeld_modules.finite_drinfeld_module import FiniteDrinfeldModule
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return isinstance(self, FiniteDrinfeldModule)
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def is_isomorphic(self, psi):
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r"""
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Return ``True`` whether ``self`` is isomorphic to the other
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Drinfeld module
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EXAMPLES::
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sage: A = GF(5)['T']
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sage: K.<T> = Frac(A)
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sage: c = T^4 + 3*T^2 + T
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sage: phi = DrinfeldModule(A, [T, T^3, T^9, T])
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sage: psi = DrinfeldModule(A, [T, c^4*T^3, c^(24)*T^9, c^(124)*T])
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sage: phi.is_isomorphic(psi)
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True
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sage: rho = DrinfeldModule(A, [T, 1, 1, 1])
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sage: phi.is_isomorphic(rho)
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False
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::
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sage: phi = DrinfeldModule(A, [T, 1, 0, 1, 0, 0, 0, T^2, 1, 1])
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sage: phi.is_isomorphic(phi)
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True
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sage: psi = DrinfeldModule(A, [T, 1, 0, 1, 0, T, 0, T^2, 1, 1])
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sage: phi.is_isomorphic(psi)
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False
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TESTS::
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sage: F.<a> = GF(5^2)
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sage: A = F['T']
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sage: phi = DrinfeldModule(A, [a, 1, 1])
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sage: psi = DrinfeldModule(A, [Frac(A).gen(), 1, 1])
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sage: phi.is_isomorphic(psi)
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Traceback (most recent call last):
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...
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ValueError: categories of the two Drinfeld modules must be the same
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sage: phi.is_isomorphic(A)
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Traceback (most recent call last):
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...
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TypeError: input must be a Drinfeld module
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"""
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if not isinstance(psi, DrinfeldModule):
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raise TypeError("input must be a Drinfeld module")
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# Trivial checks:
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if self.category() != psi.category():
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raise ValueError("categories of the two Drinfeld modules "
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"must be the same")
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if self._gen == psi._gen:
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return True
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if self._gen.degree() != psi._gen.degree():
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return False
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if self._gen.degree() == 1:
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return True
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# Check if self and psi are patterned alike:
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if not all(bool(g_self) == bool(g_psi) for g_self, g_psi in\
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zip(self._gen.coefficients(sparse=False),
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psi._gen.coefficients(sparse=False))):
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return False
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# Check that all the nonzero basic j-invariants agree
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for p in self.basic_j_invariant_parameters(nonzero=True):
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if self.j_invariant(p, check=False) != psi.j_invariant(p, check=False):
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return False
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return True
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def j_invariant(self, parameter=None, check=True):
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r"""
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Return the `j`-invariant of the Drinfeld

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