Equivalent to Singular's minpoly?
Hello everyone
In Singular, one can define a ring such as
ring r = (0,i),(x,y),dp;
minpoly = i2+1;
in order to specify that the parameter i verifies i²+1=0. Can I do this, or is it at all needed to work with Q(i), in Sage?
As of now, I have defined a ring
K.<x,y,I>=QQ[]
but I don't know if defining I as a parameter of the ring in Sage is needed, neither how could I define the minimal polynomial for K.
Thank you.
Edit: I discovered I can simplify each polynomial using .mod(I^2+1)
but I guess there has to be a more general solution that applies this to the ring itself.