Coverage for local/lib/python2.7/site-packages/sage/schemes/plane_conics/con_prime_finite_field.py : 29%

r""" 

Projective plane conics over prime finite fields 

AUTHORS: 

- Marco Streng (2010-07-20) 

""" 

from __future__ import absolute_import 

#***************************************************************************** 

# Copyright (C) 2010 Marco Streng <marco.streng@gmail.com> 

# 

# Distributed under the terms of the GNU General Public License (GPL) 

# 

# This code is distributed in the hope that it will be useful, 

# but WITHOUT ANY WARRANTY; without even the implied warranty of 

# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 

# General Public License for more details. 

# 

# The full text of the GPL is available at: 

# 

# http://www.gnu.org/licenses/ 

#***************************************************************************** 

from sage.schemes.curves.projective_curve import ProjectivePlaneCurve_prime_finite_field 

from .con_finite_field import ProjectiveConic_finite_field 

class ProjectiveConic_prime_finite_field(ProjectiveConic_finite_field, ProjectivePlaneCurve_prime_finite_field): 

r""" 

Create a projective plane conic curve over a prime finite field. 

See ``Conic`` for full documentation. 

EXAMPLES:: 

sage: P.<X, Y, Z> = FiniteField(5)[] 

sage: Conic(X^2 + Y^2 - 2*Z^2) 

Projective Conic Curve over Finite Field of size 5 defined by X^2 + Y^2 - 2*Z^2 

TESTS:: 

sage: Conic([FiniteField(7)(1), 1, -1])._test_pickling() 

""" 

def __init__(self, A, f): 

r""" 

See ``Conic`` for full documentation. 

EXAMPLES :: 

sage: Conic([GF(3)(1), 1, 1]) 

Projective Conic Curve over Finite Field of size 3 defined by x^2 + y^2 + z^2 

""" 

ProjectiveConic_finite_field.__init__(self, A, f) 

ProjectivePlaneCurve_prime_finite_field.__init__(self, A, f)