Polytope 3148
Image of polytope 3148 PALP id: 3148
grdb id: 337640
Integer points: [ 1 0 0 -2 1 -3 -4 0 -1 -2 -3 0 -1 -2 -1 1 0 -1]
[ 0 1 0 -2 2 -2 -3 1 0 -1 -2 1 0 -1 -1 1 0 -1]
[ 0 0 1 -1 2 -2 -2 2 1 0 -1 1 0 -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
91 ? x*y2*z2 + 2*x*y*z + y*z2 + 4*y*z + x + y + z + 4*x-1*z + 7*x-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + 6*x-2*y-1 + 4*x-2*y-1*z-1 + x-2*y-2*z-1 + 4*x-3*y-2*z-1 + x-3*y-2*z-2 + x-4*y-3*z-2
17 rank 1, V22 x*y2*z2 + 2*x*y*z + y*z2 + 2*y*z + x + y + z + 4*x-1*z + 2*x-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + 6*x-2*y-1 + 2*x-2*y-1*z-1 + x-2*y-2*z-1 + 4*x-3*y-2*z-1 + x-3*y-2*z-2 + x-4*y-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 139 1 Lattice Minkowski decompositions of facet 139
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
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