Polytope 3787
Image of polytope 3787 PALP id: 3787
grdb id: 446396
Integer points: [ 1 0 0 -1 -3 -3 -7 -6 -5 -4 -5 -4 -3 -2 -2 -1 -3 -2 -1 -1 0]
[ 0 1 0 -1 0 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 -1 -1 -1 0 0]
[ 0 0 1 1 -2 0 -4 -3 -2 -1 -3 -2 -1 0 -1 0 -2 -1 0 -1 0]
Degree: 30
Hilbert function: 1 + 18 t + 80 t2 + 217 t3 + 459 t4 + 836 t5 + 1378 t6 + 2115 t7 + 3077 t8 + 4294 t9 + 5796 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
16 ? x + y + z + 3*x-1 + x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 4*x-2*z-1 + 5*x-2*y-1 + 4*x-2*y-1*z-1 + x-3*z-2 + 9*x-3*y-1*z-1 + x-3*y-2 + 2*x-3*y-1*z-2 + 7*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + 2*x-5*y-1*z-3 + 6*x-5*y-2*z-2 + 4*x-6*y-2*z-3 + x-7*y-2*z-4
122 rank 4, number 3 x + y + z + 4*x-1 + x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 5*x-2*z-1 + 5*x-2*y-1 + 4*x-2*y-1*z-1 + x-3*z-2 + 10*x-3*y-1*z-1 + x-3*y-2 + 2*x-3*y-1*z-2 + 8*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + 2*x-5*y-1*z-3 + 6*x-5*y-2*z-2 + 4*x-6*y-2*z-3 + x-7*y-2*z-4
50 ? x + y + z + 3*x-1 + x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 3*x-2*z-1 + 4*x-2*y-1 + 4*x-2*y-1*z-1 + x-3*z-2 + 7*x-3*y-1*z-1 + x-3*y-2 + 2*x-3*y-1*z-2 + 6*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + 2*x-5*y-1*z-3 + 6*x-5*y-2*z-2 + 4*x-6*y-2*z-3 + x-7*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 253 1 Lattice Minkowski decompositions of facet 253
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
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