There are also 4 real intersection points satisfying x^4 - 111/256*x^2 + 3/64=0 y^4 - 15/16*y^2 + 3/16=0
so it should be finding 9 real intersection points in total. An algebraic description of these points can be obtained via: K.<a>=NumberField(x^8 - 11*x^6 + 24*x^4 - 11*x^2 + 1) P.<T>=K[] xvals=(T^4 - 111/256*T^2 + 3/64).roots() yvals=(T^4 - 15/16*T^2 + 3/16).roots() [[ [p[0],q[0]] for p in xvals if f.polynomial(QQ)(p[0],q[0]) == 0 and g.polynomial(QQ)(p[0],q[0])==0] for q in yvals] -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
