matrix(LineageTable) -- extract a matrix of polynomials from values of a LineageTable after deleting null values

Synopsis

Function: matrix
Usage:

matrix LineageTable
Inputs:
- H, an instance of the type LineageTable, whose values are polynomials
Optional inputs:
- Degree => ..., default value null,
Outputs:
- a matrix, of non-null values of H

Description

This simple function just returns the Gr\"obner basis computed with threaded Gr\"obner basis function tgb in the expected Macaulay2 format, so that further computation are one step easier to set up.

i1 : R = ZZ/101[a,b,c];

i2 : allowableThreads= 2;

i3 : T = reduce tgb( ideal "abc+c2,ab2-b3c+ac,b2")

o3 = LineageTable{(((0, 1), 0), 0) => null}
                  ((0, 1), 0) => null
                                  2
                  ((1, 2), 0) => c
                  (0, 1) => null
                  (0, 2) => null
                  (1, 2) => a*c
                  0 => null
                  1 => null
                        2
                  2 => b

o3 : LineageTable

i4 : matrix T

o4 = | b2 c2 ac |

             1       3
o4 : Matrix R  <--- R

Ways to use this method: