-- -*- M2-comint -*- {* hash: -367585131 *}
i1 : posHull matrix {{0,0,-1,-1,1},{2,-2,1,-1,0},{1,1,1,1,0}}
o1 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of the cone => 3
number of facets => 5
number of rays => 5
o1 : Cone
i2 : R = matrix{{1,2,3,1},{2,3,1,1},{3,1,2,1}}
o2 = | 1 2 3 1 |
| 2 3 1 1 |
| 3 1 2 1 |
3 4
o2 : Matrix ZZ <--- ZZ
i3 : C = posHull R
o3 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of the cone => 3
number of facets => 3
number of rays => 3
o3 : Cone
i4 : rays C
o4 = | 2 3 1 |
| 3 1 2 |
| 1 2 3 |
3 3
o4 : Matrix QQ <--- QQ
i5 : LS = matrix{{1},{1},{-2}}
o5 = | 1 |
| 1 |
| -2 |
3 1
o5 : Matrix ZZ <--- ZZ
i6 : C = posHull(R,LS)
o6 = {ambient dimension => 3 }
dimension of lineality space => 1
dimension of the cone => 3
number of facets => 2
number of rays => 2
o6 : Cone
i7 : rays C
o7 = | 0 0 |
| -1 1 |
| 4 5 |
3 2
o7 : Matrix QQ <--- QQ
i8 : HS = transpose R
o8 = | 1 2 3 |
| 2 3 1 |
| 3 1 2 |
| 1 1 1 |
4 3
o8 : Matrix ZZ <--- ZZ
i9 : C = intersection HS
o9 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of the cone => 3
number of facets => 3
number of rays => 3
o9 : Cone
i10 : rays C
o10 = | 1 7 -5 |
| 7 -5 1 |
| -5 1 7 |
3 3
o10 : Matrix QQ <--- QQ
i11 : HP = transpose LS
o11 = | 1 1 -2 |
1 3
o11 : Matrix ZZ <--- ZZ
i12 : C = intersection(HS,HP)
o12 = {ambient dimension => 3 }
dimension of lineality space => 0
dimension of the cone => 2
number of facets => 2
number of rays => 2
o12 : Cone
i13 : rays C
o13 = | 7 -2 |
| -5 4 |
| 1 1 |
3 2
o13 : Matrix QQ <--- QQ
i14 :
