how to find Gromov-Witten invariants of Calabi-Yau threefolds like finding this invariant ring below

[meInvent bbird]

how to find Gromov-Witten invariants of Calabi-Yau threefolds like finding this invariant ring below?

B(1)[1,1]=x+y+z

B(1)[1,2]=xy+xz+yz

B(1)[1,3]=xyz

> LIB "finvar.lib";

// ** loaded /projects/sage/sage-6.10/local/share/singular/finvar.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/algebra.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/ring.lib (4.0.0.0,Jun_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/primdec.lib (4.0.1.1,Nov_2014)

// ** loaded /projects/sage/sage-6.10/local/share/singular/absfact.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/triang.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/random.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/poly.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/inout.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/general.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/elim.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/matrix.lib (3-1-7-0,Sep_2013)

// ** loaded /projects/sage/sage-6.10/local/share/singular/nctools.lib (3-1-7-0,Sep_2013)

> ring R=0,(x,y,z),dp;

> matrix A[3][3]=0,1,0,0,0,1,1,0,0;

> matrix B(1..3);

> B(1..3)=invariant_ring(A);

B(1)[1,1]=x+y+z

B(1)[1,2]=xy+xz+yz

B(1)[1,3]=xyz