Polytope 3431
Image of polytope 3431 PALP id: 3431
grdb id: 314507
Integer points: [ 1 0 0 0 -1 -1 -2 -4 -2 -1 -3 -2 -1 -3 -2 -1 0 -1 0]
[ 0 1 0 -1 1 -2 1 1 1 0 1 0 -1 0 -1 1 0 0 -1]
[ 0 0 1 1 0 0 -2 -3 -1 0 -2 -1 0 -2 -1 -1 0 -1 0]
Degree: 22
Hilbert function: 1 + 14 t + 60 t2 + 161 t3 + 339 t4 + 616 t5 + 1014 t6 + 1555 t7 + 2261 t8 + 3154 t9 + 4256 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
17 rank 1, V22 x + y + z + x-1*y + y-1*z + 2*x-1*y*z-1 + 2*y-1 + 4*x-1 + 3*x-1*z-1 + 3*x-2*y*z-1 + 3*x-1*y-1 + x-2*y*z-2 + 6*x-2*z-1 + x-1*y-2 + 3*x-3*y*z-2 + 3*x-2*y-1*z-1 + 3*x-3*z-2 + x-4*y*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 3 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 153 1 Lattice Minkowski decompositions of facet 153
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