Polytope 3146
Image of polytope 3146 PALP id: 3146
grdb id: 337637
Integer points: [ 1 0 -1 1 -3 2 -2 2 -1 0 1 -2 -1 0 1 -1 0 1]
[ 0 1 -1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0]
[ 0 0 0 2 -2 2 -1 3 0 1 2 -1 0 1 1 -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
146 rank 3, number 6 x2*y*z3 + x2*y*z2 + 4*x*y*z2 + 2*x*y*z + x*z2 + 2*x*z + 6*y*z + x + y + 2*z + 4*x-1*y + 3*x-1 + 2*x-1*z-1 + x-2*y*z-1 + x-1*y-1 + 3*x-2*z-1 + x-3*z-2
127 ? x2*y*z3 + x2*y*z2 + 4*x*y*z2 + 2*x*y*z + x*z2 + 2*x*z + 6*y*z + x + y + 5*z + 4*x-1*y + 6*x-1 + 2*x-1*z-1 + x-2*y*z-1 + x-1*y-1 + 4*x-2*z-1 + x-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 3 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 137 1 Lattice Minkowski decompositions of facet 137
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