Polytope 3347
Image of polytope 3347 PALP id: 3347
grdb id: 525733
Integer points: [ 1 0 1 -3 -1 1 0 -1 -2 1 0 -1 -2 1 0 -1 0 1 0]
[ 0 1 0 0 -2 -2 0 0 0 -1 -1 -1 -1 0 0 0 -2 -1 -1]
[ 0 0 2 -2 0 2 1 0 -1 2 1 0 -1 1 0 -1 1 1 0]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
151 rank 3, number 4 x*z2 + 2*x*z + 2*x*y-1*z2 + x + y + 2*x*y-1*z + 4*z + x*y-2*z2 + 6*y-1*z + 2*y-1 + 6*x-1 + 2*y-2*z + 2*x-1*z-1 + 6*x-1*y-1 + 4*x-2*z-1 + x-1*y-2 + 2*x-2*y-1*z-1 + x-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 3 Lattice Minkowski decompositions of facet 16
Image of facet 1 2 irreducible and admissible
Image of facet 13 1 irreducible and admissible
Image of facet 127 1 Lattice Minkowski decompositions of facet 127
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