Polytope 3473
Image of polytope 3473 PALP id: 3473
grdb id: 146438
Integer points: [ 1 0 0 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0]
[ 0 1 0 -1 0 -1 0 -1 -1 -1 -1 -1 -1 0 0 -1 -1 0 0]
[ 0 0 1 1 1 -2 -2 2 -3 1 0 -1 -2 0 -1 0 -1 0 -1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
56 rank 2, number 11 x + y + z + y-1*z + x-1*z + x-1*y-1*z2 + z-1 + 3*y-1 + 3*x-1 + 5*x-1*y-1*z + 3*y-1*z-1 + 3*x-1*z-1 + 10*x-1*y-1 + y-1*z-2 + x-1*z-2 + 10*x-1*y-1*z-1 + 5*x-1*y-1*z-2 + x-1*y-1*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 9 2 irreducible and admissible
Image of facet 10 1 Lattice Minkowski decompositions of facet 10
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 146 2 Lattice Minkowski decompositions of facet 146
previous:polytope 3472
next:polytope 3474