sortSolutions(List) -- sort the list of solutions

Synopsis

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

Description

The sorting is done lexicographically regarding each complex n-vector as real 2n-vector. The output format of track and solveSystem is respected.
The parts of coordinates are considered equal if within Tolerance

i1 : R = CC[x,y];

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

o2 = {{{6.20317e-16-1.61406e-16*ii, -1}}, {{1, -1.0052e-15-7.59935e-16*ii}},
     ------------------------------------------------------------------------
     {{-1, 1.02255e-15+7.39118e-16*ii}}, {{-6.20317e-16+1.61406e-16*ii, 1}}}

o2 : List

i3 : sortSolutions s

o3 = {{{-1, 1.02255e-15+7.39118e-16*ii}}, {{6.20317e-16-1.61406e-16*ii, -1}},
     ------------------------------------------------------------------------
     {{-6.20317e-16+1.61406e-16*ii, 1}}, {{1, -1.0052e-15-7.59935e-16*ii}}}

o3 : List