id,summary,reporter,owner,description,type,status,priority,milestone,component,resolution,keywords,cc,work_issues,upstream,reviewer,author,merged,dependencies,stopgaps
10698,error in padic power series construction,wuthrich,roed,"Here is an example of a bug in constructing a power series with coefficient in an extension of Qp.

{{{
sage: A = Qp(3,5)
sage: Po.<X> = A[]
sage: f = Po([3,0,-1])
sage: K = f.root_field('a')
sage: a = K.gen()
sage: R.<T> = K[[]]
sage: b = A(0).add_bigoh(-1)
sage: b
O(3^-1)
sage: v = [a,b,b*a,b*(1+a)]
sage: v
[(1 + O(3^5))*a, O(3^-1), (O(3^-1))*a, (O(3^-1))*a + (O(3^-1))]
sage: R(v,4)
(1 + O(3^5))*a + O(T^4)
}}}

Note that the coefficients with low precision were just set to 0

{{{
sage: g = R(v,4)
sage: g[1][0].precision_absolute()
+Infinity
}}}
",defect,new,major,,padics,,padic power series,,,N/A,,,,,