i1 : R=CC[x0,x1,x2]
o1 = R
o1 : PolynomialRing
|
i2 : F={x0^3-x1^3+x2^3+1}
3 3 3
o2 = {x0 - x1 + x2 + 1}
o2 : List
|
i3 : sliceH=makeB'Slice({2},{{x0,x1,x2,1}},NameB'Slice=>"H")
2
{{}, {}}
o3 = B'Slice{...4...}
o3 : B'Slice
|
i4 : makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x0,x1,x2},
ParameterGroup=>{T},
B'Configs=>{{ParameterHomotopy,1}},
B'Functions=>{sliceH},
B'Polynomials=>{"H0+T","H1"}|F)
o4 = /var/folders/j_/gx42s4z576z_vj47_ym0j5xm0000gn/T/M2-74600-0/0/input
o4 : File
|
i5 : runBertini(storeBM2Files,PreparePH2=>true)
~/bertini
|
i6 : b'TraceTestImage(storeBM2Files)
~/bertini
~/bertini
o6 = {1.11022e-16+1.11022e-16*ii, -8.88178e-16-1.11022e-15*ii,
------------------------------------------------------------------------
-8.88178e-16-1.55431e-15*ii}
o6 : List
|
i7 : R=CC[x,y,z]**CC[a,b]
o7 = R
o7 : PolynomialRing
|
i8 : xyzSub={{x,a},{y,a^2+b},{z,a^2+b^2}}
2 2 2
o8 = {{x, a}, {y, a + b}, {z, a + b }}
o8 : List
|
i9 : sliceH=makeB'Slice({2},{{x,y,z,1}},NameB'Slice=>"H")
2
{{}, {}}
o9 = B'Slice{...4...}
o9 : B'Slice
|
i10 : makeB'InputFile(storeBM2Files,
AffVariableGroup=>{a,b},
ParameterGroup=>{T},
B'Configs=>{{ParameterHomotopy,1}},
B'Functions=>xyzSub|{sliceH},
B'Polynomials=>{"H1","H0+T"})
o10 = /var/folders/j_/gx42s4z576z_vj47_ym0j5xm0000gn/T/M2-74600-0/0/input
o10 : File
|
i11 : runBertini(storeBM2Files,PreparePH2=>true)
~/bertini
|
i12 : s=importSolutionsFile(storeBM2Files)
o12 = {{-.562602+3.24657*ii, 4.05316+.575333*ii}, {-.223317+1.21526*ii,
-----------------------------------------------------------------------
-1.97609-.300483*ii}, {-.159001-.844238*ii, .327621+.733062*ii},
-----------------------------------------------------------------------
{-.752626-.609256*ii, -.40469-1.00791*ii}}
o12 : List
|
i13 : b'TraceTestImage(storeBM2Files,MapPoints=>({a,a^2+b,a^2+b^2},{a,b}))
~/bertini
~/bertini
o13 = {- 8.88178e-16 + 4.88498e-15*ii, - 1.42109e-14 - 1.06581e-14*ii, -
-----------------------------------------------------------------------
1.15463e-14 - 1.5099e-14*ii}
o13 : List
|
i14 : R=CC[x0,x1,x2]
o14 = R
o14 : PolynomialRing
|
i15 : F={x0^3-x1^3+x2^3+1}
3 3 3
o15 = {x0 - x1 + x2 + 1}
o15 : List
|
i16 : sliceH=makeB'Slice(2,{x0,x1,x2,1},NameB'Slice=>"H")
2
{{}, {}}
o16 = B'Slice{...4...}
o16 : B'Slice
|
i17 : makeB'InputFile(storeBM2Files,
AffVariableGroup=>{x0,x1,x2},
ParameterGroup=>{T},
B'Configs=>{{ParameterHomotopy,1}},
B'Functions=>{sliceH},
B'Polynomials=>{"H0+T","H1"}|F)
o17 = /var/folders/j_/gx42s4z576z_vj47_ym0j5xm0000gn/T/M2-74600-0/0/input
o17 : File
|
i18 : runBertini(storeBM2Files,PreparePH2=>true)
~/bertini
|
i19 : b'TraceTestImage(storeBM2Files,StopBeforeTest=>true)--Returns the trace for each parameter homotopy using -gammma, 0, and gamma respectively.
~/bertini
~/bertini
o19 = {{-.259475-.866203*ii, .481912+.264561*ii, -2.07986+.87759*ii},
-----------------------------------------------------------------------
{-.618906-1.16602*ii, .520256+.160256*ii, -1.94863+1.25627*ii},
-----------------------------------------------------------------------
{-.978337-1.46584*ii, .558601+.055951*ii, -1.81739+1.63495*ii}}
o19 : List
|