naiveChirotopeString(Matrix) -- compute the chirotope string of a point or vector configuration

Synopsis

Function: naiveChirotopeString
Usage:

naiveChirotopeString A
Inputs:
- A, a matrix,
Optional inputs:
- Homogenize => a Boolean value, default value true
Outputs:
- a string,

Description

This is a simple function written in Macaulay2 to generate the same output as chirotopeString(Matrix). However, it is much slower. But we wrote it to make sure we know what order Topcom is generating the determinants.

i1 : A = matrix {
         {0, -1, 2, 3, 4, -5, 6},
         {0, 1, -4, 9, 16, 25, 36},
         {0, 1, 8, -27, 64, 125, -216}}

o1 = | 0 -1 2  3   4  -5  6    |
     | 0 1  -4 9   16 25  36   |
     | 0 1  8  -27 64 125 -216 |

              3       7
o1 : Matrix ZZ  <-- ZZ

i2 : om = naiveChirotopeString A

o2 = 7,4:
     ---0++-+----+-++++++--+-+++++++-+++

i3 : om == chirotopeString A

o3 = true

Ways to use this method: