Polytope 2788
Image of polytope 2788 PALP id: 2788
grdb id: 472024
Integer points: [ 1 0 0 -1 -3 -1 -3 -3 -3 -2 -2 -2 -1 -1 -1 -1 0]
[ 0 1 0 -1 -2 -1 -2 -2 -2 -1 -1 -1 0 0 -1 -1 0]
[ 0 0 1 -1 0 2 3 1 2 0 1 2 0 1 0 1 0]
Degree: 34
Hilbert function: 1 + 20 t + 90 t2 + 245 t3 + 519 t4 + 946 t5 + 1560 t6 + 2395 t7 + 3485 t8 + 4864 t9 + 6566 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
65 rank 4, number 6 x + y + z + 3*x-1*z + x-1*y-1*z2 + 3*x-1 + 4*x-1*y-1*z + 3*x-2*y-1*z2 + 3*x-1*y-1 + 6*x-2*y-1*z + x-3*y-2*z3 + x-1*y-1*z-1 + 3*x-2*y-1 + 3*x-3*y-2*z2 + 3*x-3*y-2*z + x-3*y-2
47 ? x + y + z + 3*x-1*z + x-1*y-1*z2 + 3*x-1 + 2*x-1*y-1*z + 3*x-2*y-1*z2 + 2*x-1*y-1 + 6*x-2*y-1*z + x-3*y-2*z3 + x-1*y-1*z-1 + 3*x-2*y-1 + 3*x-3*y-2*z2 + 3*x-3*y-2*z + x-3*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 9 1 irreducible and admissible
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 70 1 Lattice Minkowski decompositions of facet 70
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
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