I have a set $POLY$ of multivariate polynomials over integer. From this set, we can calculate Grobner basis as follows:
I=(POLY)*RING
I=Ideal(I)
B = I.groebner_basis()
where RING is the corresponding polynomial ring. I want to find the dimension of B as defined in https://en.wikipedia.org/wiki/Gr%C3%B6bner_basis#:~:text=The%20dimension%20is%20the%20maximal,is%20a%20power%20of%20x.
How to find that in Sage?