Try:
p= next_prime(1000) # or some other prime
R.<x,y>= GF(p)[]
pol= 18*x
print(pol/x)
When $p$ is small, this correctly prints 18. However, when p is at least 536870923 (the first prime after $2^{29}$), this prints 18*x/x, the fraction is not simplified.
I'm on sage 10.8 installed this morning.
If you replace pol/x with pol//x, then over a large field you'll see an error:
NotImplementedError: Division of multivariate polynomials over prime fields with characteristic > 2^29 is not implemented.
I'm not sure whether pol/xshould raise the same error, but you're welcome to file a bugreport at https://github.com/sagemath/sage/issues anyway.
Asked: 2026-03-05 10:20:16 +0100
Seen: 95 times
Last updated: Mar 05
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This is not simplified, but not false.
This is not false, but
R(pol/x)does crash.