3. Implement the octonion simple EJA.
-4. Factor out the unit-norm basis (and operator symmetry) tests once
- all of the algebras pass.
+4. Override random_instance(), one(), et cetera in DirectSumEJA.
-5. Override random_instance(), one(), et cetera in DirectSumEJA.
-
-6. Switch to QQ in *all* algebras for _charpoly_coefficients().
+5. Switch to QQ in *all* algebras for _charpoly_coefficients().
This only works when we know that the basis can be rationalized...
which is the case at least for the concrete EJAs we provide,
but not in general.
-7. Pass already_echelonized (default: False) and echelon_basis
+6. Pass already_echelonized (default: False) and echelon_basis
(default: None) into the subalgebra constructor. The value of
already_echelonized can be passed to V.span_of_basis() to save
some time, and usinf e.g. FreeModule_submodule_with_basis_field
This may require supporting "basis" as a list of basis vectors
(as opposed to superalgebra elements) in the subalgebra constructor.
-8. Implement random_instance() for general algebras as random_eja().
- Copy/paste the "general" construction into the other classes that
- can use it. The general construction can be something like "call
- random_instance() on something that inherits me and return the
- result."
-
-9. Use charpoly for inverse stuff if it's cached.
+7. Use charpoly for inverse stuff if it's cached.