i1 : M = random(ZZ^3, ZZ^5) o1 = | 1 6 6 2 3 | | 5 0 6 3 3 | | 8 4 8 5 4 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : pointsByIntersection(M,R) 2 2 o3 = {9y*z - 4z - 6x - 42y + 3z + 88, 9x*z + 13z - 66x - 30y - 165z + 632, ------------------------------------------------------------------------ 2 2 2 18y - 7z - 24x - 78y + 39z + 100, 18x*y + 25z - 84x - 138y - 255z + ------------------------------------------------------------------------ 2 2 3 2 1124, 18x - z - 132x + 30y - 33z + 292, z - 17z + 92z - 160} o3 : List |