Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 6342

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: 10852972 *}

i1 : R = ZZ[a..f];

i2 : I = monomialIdeal(a*f, b*d, c*e);

o2 : MonomialIdeal of R

i3 : Octahedron = simplicialComplex I

o3 = | def bef cdf bcf ade abe acd abc |

o3 : SimplicialComplex

i4 : L = {d*e*f, b*e*f, c*d*f, b*c*f, 
                    a*d*e, a*b*e, a*c*d, a*b*c}

o4 = {d*e*f, b*e*f, c*d*f, b*c*f, a*d*e, a*b*e, a*c*d, a*b*c}

o4 : List

i5 : Octahedron' = simplicialComplex L

o5 = | def bef cdf bcf ade abe acd abc |

o5 : SimplicialComplex

i6 : Octahedron == Octahedron'

o6 = true

i7 : fVector Octahedron

o7 = HashTable{-1 => 1}
               0 => 6
               1 => 12
               2 => 8

o7 : HashTable

i8 : void = simplicialComplex monomialIdeal 1_R

o8 = 0

o8 : SimplicialComplex

i9 : fVector void

o9 = HashTable{-1 => 0}

o9 : HashTable

i10 : dim void

o10 = -infinity

o10 : InfiniteNumber

i11 : irrelevant = simplicialComplex monomialIdeal gens R

o11 = | 1 |

o11 : SimplicialComplex

i12 : fVector irrelevant

o12 = HashTable{-1 => 1}

o12 : HashTable

i13 : dim irrelevant

o13 = -1

i14 : irrelevant' = simplicialComplex {1_R}

o14 = | 1 |

o14 : SimplicialComplex

i15 : irrelevant' == irrelevant

o15 = true

i16 :