up previous next
GB.GetBettiMatrix

returns the Betti matrix computed so far
Syntax

$gb.GetBettiMatrix(M:IDEAL or MODULE):TAGGED("$io.Matrix")


Description
This function, if used after executing Res(M), prints the Betti matrix for M. Within the Interactive Groebner Framework, in which resolutions may be computed one step at a time, the function returns the Betti matrix for the part of the resolution computed so far. See GB.GetRes for an example.

Example
  Use R ::= QQ[t,x,y,z];
  I := Ideal(x^2-yt,xy-zt,xy);
  Res(I);
0 --> R^2(-5) --> R^4(-4) --> R^3(-2)
-------------------------------
  $gb.GetBettiMatrix(I);
--------------

--------------
   0    0    0
   0    0    3
   0    0    0
   0    4    0
   2    0    0
--------------

-------------------------------


See Also