i1 : M = random(ZZ^3, ZZ^5) o1 = | 2 0 9 3 7 | | 7 6 4 9 4 | | 2 6 4 3 3 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : pointsByIntersection(M,R) 2 2 o3 = {32y*z + 63z + 50x - 56y - 669z + 930, x*z - 5z - 8x - 4y + 36z - 12, ------------------------------------------------------------------------ 2 2 2 8y + 27z + 10x - 96y - 209z + 570, 32x*y + 51z - 118x - 88y - 377z + ------------------------------------------------------------------------ 2 2 3 2 954, 16x - 169z - 270x - 88y + 1211z - 654, 4z - 33z + 10x + 8y + ------------------------------------------------------------------------ 63z - 102} o3 : List |