Polytope 3501
Image of polytope 3501 PALP id: 3501
grdb id: 136423
Integer points: [ 1 0 0 0 0 -1 -1 -3 -5 -2 -3 -4 -1 -2 -3 -1 -2 0 -1]
[ 0 1 -1 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0]
[ 0 0 0 1 1 -1 1 -2 -3 0 -1 -2 0 -1 -2 0 -1 0 -1]
Degree: 26
Hilbert function: 1 + 16 t + 70 t2 + 189 t3 + 399 t4 + 726 t5 + 1196 t6 + 1835 t7 + 2669 t8 + 3724 t9 + 5026 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
67 rank 3, number 10 y*z + x + y + z + x-1*y*z + 4*x-1*y + x-1*y*z-1 + y-1 + 4*x-1 + 4*x-2*y + 2*x-1*z-1 + 5*x-2*y*z-1 + 4*x-2*z-1 + 6*x-3*y*z-1 + 2*x-3*y*z-2 + x-3*z-2 + 4*x-4*y*z-2 + x-5*y*z-3
46 ? y*z + x + y + z + x-1*y*z + 4*x-1*y + x-1*y*z-1 + y-1 + 3*x-1 + 4*x-2*y + 2*x-1*z-1 + 5*x-2*y*z-1 + 3*x-2*z-1 + 6*x-3*y*z-1 + 2*x-3*y*z-2 + x-3*z-2 + 4*x-4*y*z-2 + x-5*y*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 5 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 107 1 Lattice Minkowski decompositions of facet 107
Image of facet 93 1 Lattice Minkowski decompositions of facet 93
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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