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 = {{{-1, -2.48633e-16+1.22478e-15*ii}}, {{-2.98204e-16-3.91162e-16*ii,
     ------------------------------------------------------------------------
     1}}, {{2.5115e-16+4.51877e-16*ii, -1}}, {{1,
     ------------------------------------------------------------------------
     2.45163e-16-1.21784e-15*ii}}}

o2 : List

i3 : sortSolutions s

o3 = {{{-1, -2.48633e-16+1.22478e-15*ii}}, {{2.5115e-16+4.51877e-16*ii, -1}},
     ------------------------------------------------------------------------
     {{-2.98204e-16-3.91162e-16*ii, 1}}, {{1, 2.45163e-16-1.21784e-15*ii}}}

o3 : List