sortSolutions(List) -- sort the list of solutions

Synopsis

Usage:
t = sortSolutions s
Function: sortSolutions
Inputs:
- a list, s, the list of solutions
Optional inputs:
- Tolerance => ..., -- specifies the tolerance of a numerical computation
Outputs:
- a list, t, sorted list

Description

The sorting is done lexicographically regarding each complex n-vector as real 2n-vector. The output format of track and solveSystem is respected.
For the corresponding coordinates a and b (of two real 2n-vectors) a < b if b-a is larger than Tolerance.

i1 : R = CC[x,y];

i2 : s = solveSystem {x^2+y^2-1, x*y}

o2 = {{1, 1.30897e-15+9.8764e-17*ii}, {-1, -1.30897e-15-9.8764e-17*ii},
     ------------------------------------------------------------------------
     {-1.4052e-15-1.15984e-15*ii, 1}, {1.4052e-15+1.15984e-15*ii, -1}}

o2 : List

i3 : sortSolutions s

o3 = {{-1, -1.30897e-15-9.8764e-17*ii}, {1.4052e-15+1.15984e-15*ii, -1},
     ------------------------------------------------------------------------
     {-1.4052e-15-1.15984e-15*ii, 1}, {1, 1.30897e-15+9.8764e-17*ii}}

o3 : List