i1 : M = random(ZZ^3, ZZ^5) o1 = | 0 4 4 9 2 | | 9 4 1 4 5 | | 9 3 1 3 2 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : pointsByIntersection(M,R) 2 2 o3 = {29y*z - 26z - 51y + 21z + 27, 29x*z + 13z - 87x - 18y - 141z + 378, ------------------------------------------------------------------------ 2 2 2 2 2 y - z - 7y + 7z, 2x*y + z - 8x - 6y - 7z + 36, 58x - 73z - 754x - ------------------------------------------------------------------------ 3 2 354y + 823z + 1692, 29z - 384z - 84y + 1285z - 846} o3 : List |