i1 : M = random(ZZ^3, ZZ^5) o1 = | 4 3 3 6 3 | | 7 6 6 6 5 | | 9 3 1 9 3 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : pointsByIntersection(M,R) 2 2 2 o3 = {16y*z - 3z + 48x - 48y - 84z + 135, x*z - 9x - 3z + 27, 16y - z + ------------------------------------------------------------------------ 2 2 2 16x - 176y + 4z + 429, 32x*y - z - 176x - 96y + 4z + 525, 16x + z - ------------------------------------------------------------------------ 3 2 160x - 4z + 339, z - 13z + 39z - 27} o3 : List |