i1 : M = random(ZZ^3, ZZ^5) o1 = | 2 7 6 1 4 | | 1 1 7 4 2 | | 7 6 5 9 6 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : pointsByIntersection(M,R) 2 2 o3 = {2y*z - 12z + 3x - 3y + 169z - 612, 2x*z - 2z - 11x + 3y + 27z - 100, ------------------------------------------------------------------------ 2 2 2 3y + 39z - 14x - 51y - 577z + 2204, 2x*y + 18z - 7x - 23y - 259z + ------------------------------------------------------------------------ 2 2 3 2 964, x + 8z - 13x - 6y - 124z + 504, 3z - 78z + 4x + 12y + 653z - ------------------------------------------------------------------------ 1798} o3 : List |