Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 1521

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: -1156550810 *}

i1 : R = QQ[x,y,z]

o1 = R

o1 : PolynomialRing

i2 : I = ideal(x^2-y*z) 

            2
o2 = ideal(x  - y*z)

o2 : Ideal of R

i3 : diffOps(I, 3)

o3 = HashTable{BasisElts => | dx^3 dx^2dy dx^2dz dxdy^2 dxdydz dxdz^2 dy^3 dy^2dz dydz^2 dz^3 dx^2 dxdy dxdz dy^2 dydz dz^2 dx dy dz |}
               PolyGens => | 0  0  0  0  0   -2xz  0    2xy  yz  y2   2xz  0    z2   -yz   0   0   2x2z-2yz2   |
                           | 0  0  0  0  0   -6yz  0    0    2xy 0    8yz  y2   6xz  0     0   0   0           |
                           | 0  0  0  0  0   -6z2  0    12yz 4xz 6xy  4z2  -yz  0    -6xz  0   0   0           |
                           | 0  0  0  0  0   0     0    0    0   0    8xy  0    12yz 4y2   0   0   0           |
                           | 0  0  0  0  0   -24xz 0    0    8yz 0    16xz 4xy  0    -8yz  0   0   24x2z-24yz2 |
                           | 0  0  0  0  0   0     0    24xz 4z2 12yz 0    -4xz 0    -8z2  0   0   0           |
                           | 0  0  0  0  0   8y2   0    0    0   0    0    0    8xy  0     0   0   0           |
                           | 0  0  0  0  0   -24yz 0    0    0   0    16yz 0    0    8xy   0   0   0           |
                           | 0  0  0  0  0   0     0    0    8xz 0    0    4yz  0    -16xz 0   0   0           |
                           | 0  0  0  0  0   0     0    16z2 0   8xz  0    -4z2 0    0     0   0   0           |
                           | 0  z  y  x  0   -3z   0    -3y  x   0    z    y    0    -x    xy  xz  0           |
                           | 0  4x 0  2y 0   0     0    0    -2y 0    0    0    6z   8y    0   4yz 0           |
                           | 0  0  4x 2z 0   0     0    0    4z  6y   0    0    0    -10z  4yz 0   0           |
                           | 0  4y 0  0  0   24y   y2   0    0   0    -12y 0    12x  0     0   4xy 0           |
                           | 0  0  0  4x 0   -12z  -2yz 0    0   0    8z   2y   0    0     0   0   0           |
                           | 0  0  4z 0  0   0     z2   12z  0   12x  0    -6z  0    0     4xz 0   0           |
                           | 0  0  0  1  yz  0     0    0    -1  0    0    0    0    1     -y  -z  -3z         |
                           | y  2  0  0  0   6     0    0    0   0    -6   0    0    0     0   0   -6x         |
                           | -z 0  2  0  2xz 0     2z   -6   0   0    0    0    0    0     0   0   0           |

o3 : HashTable

i4 :