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MonodromySolver :: dynamicFlowerSolve

dynamicFlowerSolve -- a naive dynamic strategy

Synopsis

Description

Output is verbose. For other dynamic strategies, see MonodromySolverOptions.

i1 : R = CC[a,b,c,d][x,y];
i2 : polys = polySystem {a*x+b*y^2,c*x*y+d};
i3 : (p0, x0) = createSeedPair polys;
i4 : (L, npaths) = dynamicFlowerSolve(polys.PolyMap,p0,{x0})
--backup directory created: /tmp/M2-4086-0/1
     -- 0.00444498 seconds elapsed
  H01: 1
     -- 0.00443445 seconds elapsed
  H10: 1
     -- 0.000479612 seconds elapsed
number of paths tracked: 2
found 1 points in the fiber so far
     -- 0.00468674 seconds elapsed
  H01: 1
     -- 0.00443558 seconds elapsed
  H10: 1
     -- 0.000441842 seconds elapsed
number of paths tracked: 4
found 2 points in the fiber so far
     -- 0.00573467 seconds elapsed
  H01: 2
     -- 0.00511037 seconds elapsed
  H10: 2
     -- 0.000626807 seconds elapsed
number of paths tracked: 8
found 2 points in the fiber so far
     -- 0.00503243 seconds elapsed
  H01: 2
     -- 0.00531448 seconds elapsed
  H10: 2
     -- 0.000606285 seconds elapsed
number of paths tracked: 12
found 2 points in the fiber so far
     -- 0.00512562 seconds elapsed
  H01: 2
     -- 0.00530908 seconds elapsed
  H10: 2
     -- 0.00060935 seconds elapsed
number of paths tracked: 16
found 2 points in the fiber so far
     -- 0.00518759 seconds elapsed
  H01: 2
     -- 0.00533083 seconds elapsed
  H10: 2
     -- 0.000589863 seconds elapsed
number of paths tracked: 20
found 3 points in the fiber so far
     -- 0.00580814 seconds elapsed
  H01: 3
     -- 0.00610382 seconds elapsed
  H10: 3
     -- 0.000463462 seconds elapsed
number of paths tracked: 26
found 3 points in the fiber so far
     -- 0.00325594 seconds elapsed
  H01: 3
     -- 0.00349488 seconds elapsed
  H10: 3
     -- 0.0004308 seconds elapsed
number of paths tracked: 32
found 3 points in the fiber so far
     -- 0.0035058 seconds elapsed
  H01: 3
     -- 0.0166134 seconds elapsed
  H10: 3
     -- 0.000449408 seconds elapsed
number of paths tracked: 38
found 3 points in the fiber so far
     -- 0.00345745 seconds elapsed
  H01: 3
     -- 0.00331195 seconds elapsed
  H10: 3
     -- 0.0004542 seconds elapsed
number of paths tracked: 44
found 3 points in the fiber so far

o4 = ({{.892712+.673395*ii, .29398+.632944*ii}, {-1.02953+.436414*ii,
     ------------------------------------------------------------------------
     .401155-.571066*ii}, {.136821-1.10981*ii, -.695135-.061878*ii}}, 44)

o4 : Sequence