Polytope 3769
Image of polytope 3769 PALP id: 3769
grdb id: 444829
Integer points: [ 1 0 0 -2 1 -2 1 1 0 0 0 -1 -1 -1 -2 1 1 0 0 -1 -1]
[ 0 1 0 1 -2 -1 -4 -3 -3 -2 -1 -2 -1 0 0 -2 -1 -1 0 0 1]
[ 0 0 1 0 0 -2 -2 -1 -2 -1 0 -2 -1 0 -1 -1 0 -1 0 -1 0]
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
151 rank 3, number 4 x + y + z + 2*x*y-1 + 2*x-1*y + x*y-2 + 5*y-1 + 3*x-1 + x-2*y + 2*x*y-2*z-1 + 4*y-1*z-1 + 2*x-1*z-1 + 2*x*y-3*z-1 + 7*y-2*z-1 + 6*x-1*y-1*z-1 + 2*x-2*z-1 + x*y-4*z-2 + 3*y-3*z-2 + 3*x-1*y-2*z-2 + x-2*y-1*z-2
10 rank 1, V18 x + y + z + 2*x*y-1 + 2*x-1*y + x*y-2 + 3*y-1 + 2*x-1 + x-2*y + 2*x*y-2*z-1 + 4*y-1*z-1 + 2*x-1*z-1 + 2*x*y-3*z-1 + 5*y-2*z-1 + 5*x-1*y-1*z-1 + 2*x-2*z-1 + x*y-4*z-2 + 3*y-3*z-2 + 3*x-1*y-2*z-2 + x-2*y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 199 1 Lattice Minkowski decompositions of facet 199
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