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""" Jacobian of a Hyperelliptic curve of Genus 2 """ from __future__ import absolute_import
#***************************************************************************** # Copyright (C) 2006 David Kohel <kohel@maths.usyd.edu> # Distributed under the terms of the GNU General Public License (GPL) # http://www.gnu.org/licenses/ #*****************************************************************************
from . import jacobian_generic from . import kummer_surface
# The generic genus 2 curve in Weierstrass form: # # y^2 + (c0*x^3 + c2*x^2 + c4*x + c6)*y = # a0*x^6 + a2*x^5 + a4*x^4 + a6*x^3 + a8*x^2 + a10*x + a12. # # Transforms to: # # y^2 = (4*a0 + c0^2)*x^6 + (4*a2 + 2*c0*c2)*x^5 # + (4*a4 + 2*c0*c4 + c2^2)*x^4 + (4*a6 + 2*c0*c6 + 2*c2*c4)*x^3 # + (4*a8 + 2*c2*c6 + c4^2)*x^2 + (4*a10 + 2*c4*c6)*x + 4*a12 + c6^2
class HyperellipticJacobian_g2(jacobian_generic.HyperellipticJacobian_generic): def kummer_surface(self): try: return self._kummer_surface except AttributeError: return kummer_surface.KummerSurface(self)
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