sage: Kx.<x,y>=QQ[]
sage: I=Ideal([x*y])
sage: gb=I.groebner_basis(algorithm='singular:stdfglm')

TypeError: Singular error:
   ? The ideal i has to be 0-dimensional

I believe computing the dimension of ideal requires computing groebner basis
and even if this a false, computing the dimension of ideal will detect
the constant ideal. If computing the dimension of ideal is efficient,
this will be a major achievement.

So `stdfglm` recognizes the ideal is not 0 dimensional, something else
did the heavy computation of the dimension, so `stdfglm` is slower than
the `else`.

Is the above reasoning correct?

Does the documentation address this?

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