#8623: User interface to lcalc library
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Reporter: rishi | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone:
Component: number theory | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by rishi):
* cc: bober, cremona, craigcitro, was, robertwb (added)
Old description:
> I am attaching a patch which gives a user interface to lcalc library
> wrapper. Please give me feedback. Right now only Elliptic Curve L
> functions are implemented.
New description:
I am attaching a patch which gives a user interface to lcalc library
wrapper. Please give me feedback. Right now only Elliptic Curve L
functions are implemented. Depends on #5396 and #8621
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Comment:
This is an example of user interface for lcalc library. This interface
does not assume that the center is half. This is not finished, but I
would like some feedback on the design decisions.
Below is how to use it
{{{
sage: E=EllipticCurve([1,-1,1,-1,-14])
sage: L=E.lfunction()
sage: L
L Function of Elliptic Curve defined by y^2 + x*y + y = x^3 - x^2 - x -
14 over Rational Field
sage: L.value(1)
0.386769938387780
sage: L(1)
0.386769938387780
sage: L.find_zeros_and_verify(4)
[4.74199315541376, 7.81910395523807, 8.69568671187028, 10.7173409988911]
sage: L.hardy_z_function(1+2*I)
1.26747446769888 + 1.11832648738039e-16*I
sage: L.hardy_z_function(1+3*I)
1.92712584463710 + 8.78500291880843e-16*I
sage: L.hardy_z_function(1+4*I)
1.53230410077723 + 1.82991418837085e-15*I
sage: L.center()
1
sage: L.analytic_rank()
0
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8623#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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