Polytope 3859
Image of polytope 3859 PALP id: 3859
grdb id: 580257
Integer points: [ 1 0 0 0 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 1 -1 1 -1 -1 1 -1 -1 -1 -1 0 0 0 0 1 -1 0 0]
[ 0 0 1 -1 1 0 -1 2 -2 -2 -1 0 1 -2 -1 0 1 -1 0 -1 0]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
62 rank 2, number 9 x + y + z + y*z-1 + x-1*y + y-1*z + 2*x-1*z + x-1*y-1*z2 + 2*z-1 + 2*x-1*y*z-1 + 2*y-1 + 6*x-1 + 4*x-1*y-1*z + x-1*y*z-2 + y-1*z-1 + 6*x-1*z-1 + 6*x-1*y-1 + 2*x-1*z-2 + 4*x-1*y-1*z-1 + x-1*y-1*z-2
20 rank 1, V16 x + y + z + y*z-1 + x-1*y + y-1*z + 2*x-1*z + x-1*y-1*z2 + 3*z-1 + 2*x-1*y*z-1 + 2*y-1 + 6*x-1 + 4*x-1*y-1*z + x-1*y*z-2 + y-1*z-1 + 6*x-1*z-1 + 6*x-1*y-1 + 2*x-1*z-2 + 4*x-1*y-1*z-1 + x-1*y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 127 1 Lattice Minkowski decompositions of facet 127
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