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celinelee
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python_fn_calls

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M.basis()
Family (d/dx, d/dy)
R.derivation(x)
list()
R.derivation(y)
list()
R.derivation(x)
R.derivation(y)
f.list()
self._base_derivation.list()
RingDerivationWithoutTwist_fraction_field(RingDerivationWithoutTwist_wrapper)
__hash__(self)
R.derivation(x)
hash(f)
hash(tuple(self.list()
_call_(self, x)
R.fraction_field()
K.derivation()
f(1/x)
self.parent()
defining_morphism()
x.numerator()
x.denominator()
defining_morphism(num)
defining_morphism(den)
self._base_derivation(u)
self._base_derivation(v)
return (up*v - u*vp)
RingDerivationWithoutTwist_quotient(RingDerivationWithoutTwist_wrapper)
__hash__(self)
R.derivation(x)
hash(f)
hash(tuple(self.list()
_call_(self, x)
GF(5)
R.quo([X^5, Y^5])
S.derivation()
f(x^3)
self._base_derivation(x.lift()
RingDerivationWithTwist_generic(RingDerivation)
lambda (\theta - \iota)
__init__(self, parent, scalar=0)
R.hom([y,x])
R.derivation(twist=theta)
R.derivation(1, twist=theta)
R.derivation(x, twist=theta)
TestSuite(der)
run()
parent.codomain()
codomain(scalar)
RingDerivation.__init__(self, parent)
__hash__(self)
R.hom([y,x])
R.derivation(1, twist=theta)
hash(f)
hash(self._scalar)
_repr_(self)
R.hom([y,x])
R.derivation(1, twist=theta)
str(scalar)
self.parent()
defining_morphism()
self.parent()
twisting_morphism()
defining_morphism.is_identity()
defining_morphism._repr_short()
except (AttributeError, NotImplementedError)
twisting_morphism._repr_short()
scalar._is_atomic()
elif (-scalar)
_is_atomic()
s(%s - %s)
_latex_(self)
GF(5^3)
k.frobenius_endomorphism()
k.derivation(a+1, twist=Frob)
latex(der)
left(a + 1\right)
left(\left[a \mapsto a^{5}\right] - \text{id}\right)
str(scalar)
self.parent()
defining_morphism()
self.parent()
twisting_morphism()
defining_morphism.is_identity()
latex(defining_morphism)
except (AttributeError, NotImplementedError)
latex(twisting_morphism)
scalar._is_atomic()
elif (-scalar)
_is_atomic()
left(%s\\right)
left(%s - %s\\right)
_add_(self, other)
R.hom([y,x])
R.derivation(x, twist=theta)
R.derivation(y, twist=theta)
der2 (x + y)
type(self)
self.parent()