Polytope 3563
Image of polytope 3563 PALP id: 3563
grdb id: 525369
Integer points: [ 1 0 0 -3 -3 -7 -4 -5 -6 -2 -3 -4 -5 -1 -2 -1 -2 -3 0 -1]
[ 0 1 0 -2 -2 -6 -3 -4 -5 -1 -2 -3 -4 0 -1 -1 -2 -3 0 -1]
[ 0 0 1 0 -2 -4 -1 -2 -3 0 -1 -2 -3 0 -1 0 -1 -2 0 -1]
Degree: 32
Hilbert function: 1 + 19 t + 85 t2 + 231 t3 + 489 t4 + 891 t5 + 1469 t6 + 2255 t7 + 3281 t8 + 4579 t9 + 6181 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
112 rank 3, number 15 x + y + z + 3*x-1 + 3*x-1*y-1 + 2*x-1*y-1*z-1 + 3*x-2*y-1 + 4*x-2*y-1*z-1 + 4*x-2*y-2*z-1 + x-3*y-2 + 8*x-3*y-2*z-1 + x-3*y-2*z-2 + 2*x-3*y-3*z-2 + 4*x-4*y-3*z-1 + 7*x-4*y-3*z-2 + 6*x-5*y-4*z-2 + 2*x-5*y-4*z-3 + 4*x-6*y-5*z-3 + x-7*y-6*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 167 1 Lattice Minkowski decompositions of facet 167
Image of facet 9 1 irreducible and admissible
Image of facet 76 1 Lattice Minkowski decompositions of facet 76
previous:polytope 3562
next:polytope 3564