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I have a loop but not through the coefficents {{{ sage: R.<a,b> = ZZ[] sage: f=(1+a+a^2+a^3)(1+b+b^2+b^3) sage: f.mod([a^ib^(4-i) for i in xrange(5)]) a^3 + a^2b + ab^2 + b^3 + a^2 + a*b + b^2 + a + b + 1 }}}

Vincent

I have a loop but not through the coefficents {{{ coefficients

sage: R.<a,b> = ZZ[]
sage: f=(1+a+a^2+a^3)(1+b+b^2+b^3)
f=(1+a+a^2+a^3)*(1+b+b^2+b^3)
sage: f.mod([a^ib^(4-i) f.mod([a^i*b^(4-i) for i in xrange(5)])
a^3 + a^2b a^2*b + ab^2 a*b^2 + b^3 + a^2 + a*b + b^2 + a + b + 1
}}} 

Vincent

I have a loop but not through the coefficientsterms

sage: R.<a,b> = ZZ[]
sage: f=(1+a+a^2+a^3)*(1+b+b^2+b^3)
sage: f.mod([a^i*b^(4-i) for i in xrange(5)])
a^3 + a^2*b + a*b^2 + b^3 + a^2 + a*b + b^2 + a + b + 1

Vincent