CrvInit
The GP function CrvInit takes f (x, y) and computes the
rational parametrisations above the points P such that
x(P) = ∞ or x(P) is a multiple root of ∆(x) or P is singular.
C=CrvInit(y^3+2*x^3*y-x^7);
CrvPrint(C);
C1=CrvInit(-256*x^56 + 6144*x^55 - 62464*x^54
+ 333824*x^53 - 859648*x^52 - 120832*x^51
+ 7252992*x^50 - 16046080*x^49 - 9891072*x^48
+ 90136576*x^47 - 73076736*x^46 - 237805568*x^45
+ 420485120*x^44 + 341843968*x^43 - 1165840384*x^42
- 192667648*x^41 + 2178936320*x^40 - 238563328*x^39
...
+ 3232*y^6*x^6 + 384*y^6*x^5
-96*y^6*x^4 - 16*y^6*x^3 + 27*y^8);
Nicolas Mascot Algebraic curves