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View File Name :
_bertini__User__Homotopy.out
-- -*- M2-comint -*- hash: 1497993508773629302 i1 : R = CC[x,a,t]; -- include the path variable in the ring i2 : H = { (x^2-1)*a + (x^2-2)*(1-a)}; i3 : sol1 = point {{1}}; i4 : sol2 = point {{-1}}; i5 : S1= { sol1, sol2 };--solutions to H when t=1 i6 : S0 = bertiniUserHomotopy (t,{a=>t}, H, S1) --solutions to H when t=0 o6 = {{1.41421}, {-1.41421}} o6 : List i7 : peek S0_0 o7 = Point{cache => CacheTable{...14...}} Coordinates => {1.41421} i8 : R=CC[x,y,t,a]; -- include the path variable in the ring i9 : f1=(x^2-y^2); i10 : f2=(2*x^2-3*x*y+5*y^2); i11 : H = { f1*a + f2*(1-a)}; --H is a list of polynomials in x,y,t i12 : sol1= point{{1,1}}--{{x,y}} coordinates o12 = sol1 o12 : Point i13 : sol2= point{{ -1,1}} o13 = sol2 o13 : Point i14 : S1={sol1,sol2}--solutions to H when t=1 o14 = {sol1, sol2} o14 : List i15 : S0=bertiniUserHomotopy(t,{a=>t}, H, S1, HomVariableGroup=>{x,y}) --solutions to H when t=0 o15 = {{1, .3+.556776*ii}, {1, .3-.556776*ii}} o15 : List i16 :