Dear All,

I am M. Subramani, working at the Indian Institute of Information 
Technology D&M, Chennai. I would like to know whether the following sage 
code uses GRH or not. Kindly looking forward to your suggestions/comments.

sage: x = polygen(QQ)
sage: K.<a,b> = NumberField([x^2+67,x^2+163])
sage: K.absolute_discriminant()
sage: UK = UnitGroup(K); UK
sage: UK.gens_values()
sage: f = K.factor(47); f
sage: [i.residue_class_degree() for i, _ in f]
sage: g = K.factor(167); g
sage: [i.residue_class_degree() for i, _ in g]
sage: I = K.ideal((102005618195957366438*b - 670427217454663892839)*a + 
859657055484696603731/2*b + 21319906288123697979267/2)^2
sage: I.small_residue(-113532749239375013512100611401835237324223211*a + 
72788832531850093592405531048689006688627546*b)^(71*35)

Thanking you in advance,

with regards,
M. Subramani

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