#9466: square root with all=True should not return ValueError but empty list
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Reporter: mstreng | Owner: AlexGhitza
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: algebra | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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{{{
sage: FiniteField(3)(2).sqrt(all = True)
[]
sage: 2.sqrt(extend = False, all = True)
ValueError: square root of 2 not an integer
sage: FiniteField(next_prime(2^100))(2).sqrt(extend = False, all = True)
ValueError: self must be a square
sage: _.<a>=FiniteField(9)
sage: a.sqrt(extend = False, all = True)
ValueError: must be a perfect square.
}}}
At sage days 23 we agreed that square root with all=True should not raise
an error. If no square roots exist, then it should return an empty list.
Right now, it returns an empty list for elements of small prime finite
fields, but raises an error for integers, elements of large prime finite
fields, and elements of non-prime finite fields.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9466>
Sage <http://www.sagemath.org>
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