Failed example:: Exception raised: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.examples.euclidean.Euclidean3dimSpace'>,), (('coordinates', 'Cartesian'), ('latex_name', None), ('metric_latex_name', None), ('metric_name', 'g'), ('name', None), ('start_index', 1), ('symbols', 'x y z'), ('unique_tag', 4.111969245120004e+47))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/manifolds/chart.py", line 319, in __classcall__ return domain._charts_by_coord[coord_string] KeyError: 'x y z' During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.chart.RealDiffChart'>, Euclidean space E^3, (x, y, z), 'SR'), (('bounds', (((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)))), ('coord_restrictions', frozenset()), ('periods', (None, None, None)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordFrame'>, Chart (E^3, (x, y, z))), ()) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordCoFrame'>, Coordinate frame (E^3, (∂/∂x,∂/∂y,∂/∂z)), ('dx', 'dy', 'dz')), (('indices', None), ('latex_indices', None), ('latex_symbol', (\mathrm{d} x, \mathrm{d} y, \mathrm{d} z)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[0]>", line 1, in <module> E = EuclideanSpace(names=('x', 'y', 'z',)); (x, y, z,) = E._first_ngens(3) File "sage/misc/lazy_import.pyx", line 410, in sage.misc.lazy_import.LazyImport.__call__ return self.get_object()(*args, **kwds) File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "/sage/src/sage/manifolds/differentiable/examples/euclidean.py", line 712, in __classcall_private__ return Euclidean3dimSpace(name=name, latex_name=latex_name, File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "sage/misc/cachefunc.pyx", line 1015, in sage.misc.cachefunc.CachedFunction.__call__ w = self.f(*args, **kwds) File "/sage/src/sage/structure/unique_representation.py", line 1113, in __classcall__ return super().__classcall__(cls, *args, **options) File "/sage/src/sage/structure/unique_representation.py", line 597, in __classcall__ instance = typecall(cls, *args, **options) F

Failed example:: Got: <function E at 0x7f373ff856c0>

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[2]>", line 1, in <module> E.category() AttributeError: 'function' object has no attribute 'category'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[3]>", line 1, in <module> E.base_field() is RR AttributeError: 'function' object has no attribute 'base_field'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[4]>", line 1, in <module> E.metric() AttributeError: 'function' object has no attribute 'metric'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[5]>", line 1, in <module> spherical = E.spherical_coordinates(names=('r', 'th', 'ph',)); (r, th, ph,) = spherical._first_ngens(3) AttributeError: 'function' object has no attribute 'spherical_coordinates'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[6]>", line 1, in <module> cylindrical = E.cylindrical_coordinates(names=('rh', 'ph', 'z',)); (rh, ph, z,) = cylindrical._first_ngens(3) AttributeError: 'function' object has no attribute 'cylindrical_coordinates'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[7]>", line 1, in <module> E.atlas() AttributeError: 'function' object has no attribute 'atlas'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[8]>", line 1, in <module> E.frames() AttributeError: 'function' object has no attribute 'frames'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest doc.en.thematic_tutorials.vector_calculus.vector_calc_advanced[9]>", line 1, in <module> spherical_frame = E.spherical_frame() AttributeError: 'function' object has no attribute 'spherical_frame'

Failed example:: Exception raised: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.examples.euclidean.Euclidean3dimSpace'>,), (('coordinates', 'Cartesian'), ('latex_name', None), ('metric_latex_name', None), ('metric_name', 'g'), ('name', None), ('start_index', 0), ('symbols', None), ('unique_tag', 4.111969307909338e+47))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/manifolds/chart.py", line 319, in __classcall__ return domain._charts_by_coord[coord_string] KeyError: 'x y z' During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.chart.RealDiffChart'>, Euclidean space E^3, (x, y, z), 'SR'), (('bounds', (((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)))), ('coord_restrictions', frozenset()), ('periods', (None, None, None)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordFrame'>, Chart (E^3, (x, y, z))), ()) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordCoFrame'>, Coordinate frame (E^3, (∂/∂x,∂/∂y,∂/∂z)), ('dx', 'dy', 'dz')), (('indices', None), ('latex_indices', None), ('latex_symbol', (\mathrm{d} x, \mathrm{d} y, \mathrm{d} z)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[1]>", line 1, in <module> A = triangle.affine_hull_manifold(name='A'); A File "/sage/src/sage/geometry/polyhedron/base6.py", line 1679, in affine_hull_manifold ambient_space = EuclideanSpace(self.ambient_dim(), start_index=start_index) File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "/sage/src/sage/manifolds/differentiable/examples/euclidean.py", line 712, in __classcall_private__ return Euclidean3dimSpace(name=name, latex_name=latex_name, File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "sage/misc/cachefunc.pyx", line 1015, in sage.misc.cachefunc.CachedFunction.__call__ w = self.f(*args, **kwds) File "/sage/src/sage/structure/unique_representation.py", line 1113, in __classcall__ return super().__classcall__(cls, *args, **options) File "/sage/src/sage/structure/unique_representation.py", line 597, in __classcall__ instance = typecall(cls, *args, **options) File "sage/

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[2]>", line 1, in <module> A.embedding().display() NameError: name 'A' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[3]>", line 1, in <module> A.embedding().inverse().display() NameError: name 'A' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[4]>", line 1, in <module> A.adapted_chart() NameError: name 'A' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[5]>", line 1, in <module> A.normal().display() NameError: name 'A' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[6]>", line 1, in <module> A.induced_metric() # Need to call this before volume_form NameError: name 'A' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[7]>", line 1, in <module> A.volume_form() NameError: name 'A' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.examples.euclidean.Euclidean3dimSpace'>,), (('coordinates', 'Cartesian'), ('latex_name', None), ('metric_latex_name', None), ('metric_name', 'g'), ('name', None), ('start_index', 0), ('symbols', None), ('unique_tag', 5.304153900730597e+47))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/manifolds/chart.py", line 319, in __classcall__ return domain._charts_by_coord[coord_string] KeyError: 'x y z' During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.chart.RealDiffChart'>, Euclidean space E^3, (x, y, z), 'SR'), (('bounds', (((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)))), ('coord_restrictions', frozenset()), ('periods', (None, None, None)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordFrame'>, Chart (E^3, (x, y, z))), ()) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordCoFrame'>, Coordinate frame (E^3, (∂/∂x,∂/∂y,∂/∂z)), ('dx', 'dy', 'dz')), (('indices', None), ('latex_indices', None), ('latex_symbol', (\mathrm{d} x, \mathrm{d} y, \mathrm{d} z)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[8]>", line 1, in <module> A = triangle.affine_hull_manifold(name='A', orthogonal=True); A # needs sage.symbolic File "/sage/src/sage/geometry/polyhedron/base6.py", line 1679, in affine_hull_manifold ambient_space = EuclideanSpace(self.ambient_dim(), start_index=start_index) File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "/sage/src/sage/manifolds/differentiable/examples/euclidean.py", line 712, in __classcall_private__ return Euclidean3dimSpace(name=name, latex_name=latex_name, File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "sage/misc/cachefunc.pyx", line 1015, in sage.misc.cachefunc.CachedFunction.__call__ w = self.f(*args, **kwds) File "/sage/src/sage/structure/unique_representation.py", line 1113, in __classcall__ return super().__classcall__(cls, *args, **options) File "/sage/src/sage/structure/unique_representation.py", line 597, in __classcall__ instance =

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[9]>", line 1, in <module> A.embedding().display() # needs sage.symbolic NameError: name 'A' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.geometry.polyhedron.base6.Polyhedron_base6.?[10]>", line 1, in <module> A.embedding().inverse().display() # needs sage.symbolic NameError: name 'A' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/manifolds/chart.py", line 319, in __classcall__ return domain._charts_by_coord[coord_string] KeyError: 'x y' During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.chart.RealDiffChart'>, 2-dimensional differentiable manifold M, (x, y), 'SR'), (('bounds', (((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)))), ('coord_restrictions', frozenset()), ('periods', (None, None)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordFrame'>, Chart (M, (x, y))), ()) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordCoFrame'>, Coordinate frame (M, (∂/∂x,∂/∂y)), ('dx', 'dy')), (('indices', None), ('latex_indices', None), ('latex_symbol', (\mathrm{d} x, \mathrm{d} y)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.calculus.functional.derivative[27]>", line 1, in <module> X = M.chart(names=('x', 'y',)); (x, y,) = X._first_ngens(2) File "/sage/src/sage/manifolds/manifold.py", line 1639, in chart return self._structure.chart(self, coordinates=coordinates, File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "/sage/src/sage/manifolds/chart.py", line 324, in __classcall__ self = super().__classcall__(cls, domain, coordinates, calc_method, File "sage/misc/cachefunc.pyx", line 1015, in sage.misc.cachefunc.CachedFunction.__call__ w = self.f(*args, **kwds) File "/sage/src/sage/structure/unique_representation.py", line 1113, in __classcall__ return super().__classcall__(cls, *args, **options) File "/sage/src/sage/structure/unique_representation.py", line 597, in __classcall__ instance = typecall(cls, *args, **options) File "sage/misc/classcall_metaclass.pyx", line 472, in sage.misc.classcall_metaclass.typecall return (<PyTypeObject*>type).tp_call(cls, args, kwds) File "/sage/src/sage/manifolds/differentiable/chart.py", line 999, in __init__ self._frame = CoordFrame(self) File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "sage/misc/cachefunc.pyx", line 1015, in sage.misc.cachefunc.CachedFunction.__call__ w = self.f(*args, **kwds) File "/sage/src/sage/structure/unique_representation.py", line 1113, in __classcall__ return super().__classcall__(cls, *args, **options) File "/sage/src/sage/structure/unique_representation.py", line 597, in __classcall__ instance = typecall(cls, *args, **options) File "sage/misc/classcall_metaclass.pyx", line 472, in sage.misc.classcall_metaclass.typecall return (<

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.calculus.functional.derivative[29]>", line 1, in <module> derivative(f) File "/sage/src/sage/calculus/functional.py", line 164, in derivative return f.derivative(*args, **kwds) File "/sage/src/sage/manifolds/differentiable/scalarfield.py", line 804, in differential self._differential = self._domain.one_form(name=rname, File "/sage/src/sage/manifolds/differentiable/manifold.py", line 2373, in one_form resu = vmodule.linear_form(name=name, latex_name=latex_name) File "/sage/src/sage/tensor/modules/finite_rank_free_module.py", line 2509, in linear_form return self.dual_exterior_power(1).element_class(self, 1, name=name, TypeError: DiffFormParal.__init__() got an unexpected keyword argument 'implementation'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.calculus.functional.derivative[30]>", line 1, in <module> derivative(f).display() File "/sage/src/sage/calculus/functional.py", line 164, in derivative return f.derivative(*args, **kwds) File "/sage/src/sage/manifolds/differentiable/scalarfield.py", line 804, in differential self._differential = self._domain.one_form(name=rname, File "/sage/src/sage/manifolds/differentiable/manifold.py", line 2373, in one_form resu = vmodule.linear_form(name=name, latex_name=latex_name) File "/sage/src/sage/tensor/modules/finite_rank_free_module.py", line 2509, in linear_form return self.dual_exterior_power(1).element_class(self, 1, name=name, TypeError: DiffFormParal.__init__() got an unexpected keyword argument 'implementation'

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.calculus.functional.derivative[31]>", line 1, in <module> a = M.one_form(-y, x, name='a'); a.display() File "/sage/src/sage/manifolds/differentiable/manifold.py", line 2373, in one_form resu = vmodule.linear_form(name=name, latex_name=latex_name) File "/sage/src/sage/tensor/modules/finite_rank_free_module.py", line 2509, in linear_form return self.dual_exterior_power(1).element_class(self, 1, name=name, TypeError: DiffFormParal.__init__() got an unexpected keyword argument 'implementation'

Failed example:: Got: 1

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.calculus.functional.derivative[33]>", line 1, in <module> derivative(a).display() File "sage/structure/element.pyx", line 495, in sage.structure.element.Element.__getattr__ return self.getattr_from_category(name) File "sage/structure/element.pyx", line 508, in sage.structure.element.Element.getattr_from_category return getattr_from_other_class(self, cls, name) File "sage/cpython/getattr.pyx", line 363, in sage.cpython.getattr.getattr_from_other_class raise AttributeError(dummy_error_message) AttributeError: 'sage.symbolic.expression.Expression' object has no attribute '__dict__'

Failed example:: Exception raised: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.examples.euclidean.Euclidean3dimSpace'>,), (('coordinates', 'Cartesian'), ('latex_name', None), ('metric_latex_name', None), ('metric_name', 'g'), ('name', None), ('start_index', 1), ('symbols', None), ('unique_tag', 4.111969962585105e+47))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/manifolds/chart.py", line 319, in __classcall__ return domain._charts_by_coord[coord_string] KeyError: 'x y z' During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.chart.RealDiffChart'>, Euclidean space E^3, (x, y, z), 'SR'), (('bounds', (((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)), ((-Infinity, False), (+Infinity, False)))), ('coord_restrictions', frozenset()), ('periods', (None, None, None)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordFrame'>, Chart (E^3, (x, y, z))), ()) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "sage/misc/cachefunc.pyx", line 1010, in sage.misc.cachefunc.CachedFunction.__call__ return self.cache[k] File "sage/misc/weak_dict.pyx", line 716, in sage.misc.weak_dict.WeakValueDictionary.__getitem__ raise KeyError(k) KeyError: ((<class 'sage.manifolds.differentiable.vectorframe.CoordCoFrame'>, Coordinate frame (E^3, (∂/∂x,∂/∂y,∂/∂z)), ('dx', 'dy', 'dz')), (('indices', None), ('latex_indices', None), ('latex_symbol', (\mathrm{d} x, \mathrm{d} y, \mathrm{d} z)))) During handling of the above exception, another exception occurred: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.categories.chain_complexes.ChainComplexes.ParentMethods.lift_from_homology[0]>", line 1, in <module> E3 = EuclideanSpace(Integer(3)) File "sage/misc/lazy_import.pyx", line 410, in sage.misc.lazy_import.LazyImport.__call__ return self.get_object()(*args, **kwds) File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "/sage/src/sage/manifolds/differentiable/examples/euclidean.py", line 712, in __classcall_private__ return Euclidean3dimSpace(name=name, latex_name=latex_name, File "sage/misc/classcall_metaclass.pyx", line 321, in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ return cls.classcall(cls, *args, **kwds) File "sage/misc/cachefunc.pyx", line 1015, in sage.misc.cachefunc.CachedFunction.__call__ w = self.f(*args, **kwds) File "/sage/src/sage/structure/unique_representation.py", line 1113, in __classcall__ return super().__classcall__(cls, *args, **options) File "/sage/src/sage/structure/unique_representation.py", line 597, in __classcall__ instance = typecall(cls, *args, **options) File "sage/misc/classcall_meta

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.categories.chain_complexes.ChainComplexes.ParentMethods.lift_from_homology[1]>", line 1, in <module> C = E3.de_rham_complex() NameError: name 'E3' is not defined

Failed example:: Exception raised: Traceback (most recent call last): File "/sage/src/sage/doctest/forker.py", line 715, in _run self.compile_and_execute(example, compiler, test.globs) File "/sage/src/sage/doctest/forker.py", line 1147, in compile_and_execute exec(compiled, globs) File "<doctest sage.categories.chain_complexes.ChainComplexes.ParentMethods.lift_from_homology[2]>", line 1, in <module> one = C.homology().one() NameError: name 'C' is not defined