up previous next
returns the Betti matrix computed so far
$gb.GetBettiMatrix(M:IDEAL or MODULE):TAGGED("$io.Matrix")
|
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.
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
--------------
-------------------------------
|