This example from Genya Zaytman:

sage: F1.<u> = NumberField(x^6 + 6*x^5 + 124*x^4 + 452*x^3 + 4336*x^2  
+ 8200*x + 42316)
sage: reduct_id = F1.factor_integer(47)[0][0]
sage: Rf = F1.residue_field(reduct_id)   # = GF(47^3)
sage: R1.<X,Y> = PolynomialRing(Rf)
sage: ubar = Rf(u)
sage: I = ideal([ubar*X+Y])
sage: I.groebner_basis()
[boom]

Is this supposed to work? It's just a multivariate poly over a finite  
field.

I've put it up at:

http://trac.sagemath.org/sage_trac/ticket/2789

david


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