i1 : M = random(ZZ^3, ZZ^5) o1 = | 2 2 6 3 3 | | 6 5 1 2 0 | | 1 4 1 5 5 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : pointsByIntersection(M,R) 2 2 2 o3 = {12y*z + 19z - 60x - 60y - 171z + 560, x*z - z - x + 3z - 2, 16y + ------------------------------------------------------------------------ 2 2 23z + 100x - 32y - 67z - 540, 48x*y - 29z - 108x - 144y + 129z + 404, ------------------------------------------------------------------------ 2 2 3 2 4x + 3z - 32x - 15z + 60, z - 10z + 29z - 20} o3 : List |