i1 : M = random(ZZ^3, ZZ^5) o1 = | 0 8 0 8 0 | | 8 4 8 6 5 | | 5 0 6 9 6 | 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 - 20z + 39x - 72y + 124z - 24, x*z + 4z - 15x - 44z + 120, 12y ------------------------------------------------------------------------ 2 2 2 - 4z + 9x - 156y + 44z + 360, 9x*y + 8z - 66x - 88z + 240, x - 8x, ------------------------------------------------------------------------ 3 2 2z - 10z - 45x - 72z + 360} o3 : List |