i1 : M = random(ZZ^3, ZZ^5) o1 = | 1 6 9 9 9 | | 3 3 4 3 6 | | 1 4 7 8 4 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : pointsByIntersection(M,R) 2 2 o3 = {18y*z + 11z + 84x - 156y - 249z + 568, 9x*z - 4z + 12x - 48y - 69z + ------------------------------------------------------------------------ 2 2 2 196, 27y - 11z - 84x - 159y + 195z + 134, x*y - 3x - 9y + 27, 27x - ------------------------------------------------------------------------ 2 3 2 20z - 165x - 240y + 60z + 818, 3z - 50z - 84x + 84y + 327z - 448} o3 : List |