Polytope 3588
Image of polytope 3588 PALP id: 3588
grdb id: 451905
Integer points: [ 1 0 0 0 -1 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 -1 0 -2 3 -2 2 1 0 -1 2 1 0 -1 1 0 -1 0 -1]
[ 0 0 0 1 2 -2 3 -1 0 1 2 -1 0 1 2 -1 0 1 0 1]
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 + 2*x-1*y2*z-1 + 6*x-1*y + 2*y-1*z + 6*x-1*z + 2*x-1*y-1*z2 + x-2*y3*z-2 + 2*x-1*y*z-1 + 5*x-2*y2*z-1 + y-1 + 5*x-1 + 10*x-2*y + 4*x-1*y-1*z + 10*x-2*z + x-1*y-2*z2 + 5*x-2*y-1*z2 + x-2*y-2*z3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
Image of facet 129 1 Lattice Minkowski decompositions of facet 129
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
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