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2.0*d_1*d_2 + 1.0*d_2**2 is one of the weak normal forms of the result. It is not incorrect. It is computed by sdm_nf_mora in distributedmodules. From the docstring:
Weak normal forms are defined in [SCA, defn 2.3.3]. They are not unique.
This function deterministically computes a weak normal form, depending on
the order of `G`.
There are other normal form functions, sdm_nf_buchberger and sdm_groebner, also implemented in distributedmodules but they are not currently applied in agca.modules, presumably for efficiency.
When constructing a quotient ring, sometimes terms that should be dropped by the quotient are left in e.g.:
The output of this should be:
This is not always the case as the following statements are correct:
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