Polytope 4072
Image of polytope 4072 PALP id: 4072
grdb id: 82865
Integer points: [ 1 0 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0]
[ 0 1 0 0 1 1 -1 -1 -4 -2 -3 0 -1 -2 -3 0 -1 -2 0 -1 -2 0 -1]
[ 0 0 1 -1 0 -1 -1 2 2 0 1 -1 0 1 2 0 1 2 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
10 rank 1, V18 x + y + z + x-1*y + 3*y-1*z + 2*x-1*z + x-1*y-1*z2 + z-1 + x-1*y*z-1 + 3*y-1 + 5*x-1 + 2*y-2*z + 7*x-1*y-1*z + 3*x-1*y-2*z2 + 2*x-1*z-1 + 7*x-1*y-1 + 8*x-1*y-2*z + 3*x-1*y-3*z2 + x-1*y-1*z-1 + 3*x-1*y-2 + 3*x-1*y-3*z + x-1*y-4*z2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 231 1 Lattice Minkowski decompositions of facet 231
Image of facet 25 2 Lattice Minkowski decompositions of facet 25
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
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