#15554: enhance ratpoints interface
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   Reporter:  cremona        |            Owner:
       Type:  enhancement    |           Status:  new
   Priority:  major          |        Milestone:  sage-6.1
  Component:  number theory  |         Keywords:
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 In sage/libs/ratpoints there is a cython interface to the standard
 ratpoints package (Michael Stoll's efficient C library for point searching
 on curves of the form {{{y^2=f(x)}}} for polynomials {{{f(x)}}} of any
 degree).

 The interface currently only allows the user to specify the coefficients
 of the polynomial, a height bound, and a maximum number of points to be
 found.  But ratpoints has other parameters, in particular upper and lower
 bounds for the denominator of {{{x}}} (useful in searching for
 integralpoints) and the ability to search only for {{{x}}} in one or more
 real intervals.

 We propose to enhance the interface to allow non-defaults for all the
 ratpoints parameters, while remaining completely backwards compatible.

--
Ticket URL: <http://trac.sagemath.org/ticket/15554>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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