Polytope 2801
Image of polytope 2801 PALP id: 2801
grdb id: 471870
Integer points: [ 1 0 0 0 -2 -4 -5 -1 -3 -2 -1 -4 -3 -2 -1 0 -2]
[ 0 1 0 -1 -2 -1 -2 -1 -2 -1 0 -2 -1 0 -1 0 -1]
[ 0 0 1 1 1 -2 -2 1 0 0 0 -1 -1 -1 0 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
147 rank 4, number 5 x + y + z + y-1*z + 4*x-1 + 2*x-1*y-1*z + 3*x-1*y-1 + 2*x-2*z-1 + 6*x-2*y-1 + x-2*y-2*z + 2*x-2*y-1*z-1 + 5*x-3*y-1*z-1 + 3*x-3*y-2 + x-4*y-1*z-2 + 3*x-4*y-2*z-1 + x-5*y-2*z-2
112 rank 3, number 15 x + y + z + y-1*z + 3*x-1 + 2*x-1*y-1*z + 3*x-1*y-1 + 2*x-2*z-1 + 5*x-2*y-1 + x-2*y-2*z + 2*x-2*y-1*z-1 + 4*x-3*y-1*z-1 + 3*x-3*y-2 + x-4*y-1*z-2 + 3*x-4*y-2*z-1 + x-5*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 155 1 Lattice Minkowski decompositions of facet 155
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
previous:polytope 2800
next:polytope 2802