Coding Sprint Project: Solving Conics
* People: Marco Streng, Mak Trifkovic, Peter Bruin, John Cremona
* This is Trac ticket 727: http://trac.sagemath.org/sage_trac/ticket/727
Conic class currently available at the ticket
* Uses Denis Simon's pari code for solving and parametrizing conics over QQ
* Uses pari's rnfisnorm for finding points on conics over number fields
* Solves conics over finite fields and RR and CC.
To do
* I forgot to include "sage/schemes/plane_conics/init.py" (which is empty), so the patch actually doesn't work
* Use a good Hilbert symbol, such as the one of Trac ticket 9334 or the one of Pari. http://trac.sagemath.org/sage_trac/ticket/9334
* Make a hierarchy of Conic classes (modelled after the hierarchy of Elliptic curve classes?), each with special functionality
* Fix broken doctests:
- sage -t "sage/schemes/plane_conics/conic_solve.py" sage -t "sage/schemes/plane_conics/hilbert.py" sage -t "sage/schemes/plane_conics/projective_conic.py
* Add missing doctests (e.g. pickling)
* Change the constructor of Curve to return a Conic if the curve is a Conic