Polytope 4031
Image of polytope 4031 PALP id: 4031
grdb id: 438025
Integer points: [ 1 1 1 -1 -1 -1 -3 0 0 -1 -2 -2 1 0 1 0 -1 0 -1 -2 1 0 0]
[ 0 2 0 0 0 -2 -2 -1 0 -1 -2 -1 0 -1 1 0 -1 1 0 -1 1 0 1]
[ 0 0 2 0 -2 0 -2 1 1 0 -1 -1 1 0 1 0 -1 0 -1 -2 0 -1 -1]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 x*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + x + 2*y + 2*z + 2*y*z-1 + 2*y-1*z + 2*z-1 + 2*y-1 + x-1 + 4*x-1*z-1 + 4*x-1*y-1 + x-1*z-2 + 4*x-1*y-1*z-1 + x-1*y-2 + 2*x-2*y-1*z-1 + 2*x-2*y-1*z-2 + 2*x-2*y-2*z-1 + x-3*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 4 Lattice Minkowski decompositions of facet 16
Image of facet 36 3 Lattice Minkowski decompositions of facet 36
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