Polytope 3831
Image of polytope 3831 PALP id: 3831
grdb id: 108038
Integer points: [ 1 0 0 -1 1 1 -2 1 -2 0 -1 1 0 -1 1 0 0 -1 1 0 -1]
[ 0 1 0 1 0 -2 1 -3 0 -2 -1 -2 -1 0 -1 0 -1 0 -1 0 1]
[ 0 0 1 1 -1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
Degree: 14
Hilbert function: 1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
51 rank 2, number 7 x + y + z + x-1*y*z + x*z-1 + 2*x*y-1 + 2*x-1*y + 3*x*y-1*z-1 + 3*z-1 + x*y-2 + 4*y-1 + 4*x-1 + x-2*y + 3*x*y-2*z-1 + 6*y-1*z-1 + 3*x-1*z-1 + x*y-3*z-1 + 3*y-2*z-1 + 3*x-1*y-1*z-1 + x-2*z-1
18 rank 1, V14 x + y + z + x-1*y*z + x*z-1 + 2*x*y-1 + 2*x-1*y + 3*x*y-1*z-1 + 3*z-1 + x*y-2 + 3*y-1 + 3*x-1 + x-2*y + 3*x*y-2*z-1 + 6*y-1*z-1 + 3*x-1*z-1 + x*y-3*z-1 + 3*y-2*z-1 + 3*x-1*y-1*z-1 + x-2*z-1
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 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 100 1 Lattice Minkowski decompositions of facet 100
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 44 2 Lattice Minkowski decompositions of facet 44
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