Polytope 4253
Image of polytope 4253 PALP id: 4253
grdb id: 259203
Integer points: [ 1 0 0 1 1 0 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 0 0 0]
[ 0 1 0 0 -1 1 1 -4 0 -1 -2 -3 1 0 -1 -2 -3 0 -1 -2 1 0 -1 -2 1 0 -1]
[ 0 0 1 -1 0 -2 -2 3 -1 0 1 2 -2 -1 0 1 2 -1 0 1 -1 0 1 2 -1 0 1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
7 rank 1, V12 x + y + z + x*z-1 + 2*y*z-1 + x*y-1 + 3*y-1*z + y*z-2 + 5*z-1 + 2*x-1*y*z-1 + 7*y-1 + 6*x-1 + 3*y-2*z + 6*x-1*y-1*z + 2*x-1*y-2*z2 + 2*x-1*y*z-2 + 9*x-1*z-1 + 15*x-1*y-1 + 11*x-1*y-2*z + 3*x-1*y-3*z2 + x-2*y*z-2 + 5*x-2*z-1 + 10*x-2*y-1 + 10*x-2*y-2*z + 5*x-2*y-3*z2 + x-2*y-4*z3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 129 1 Lattice Minkowski decompositions of facet 129
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 271 1 Lattice Minkowski decompositions of facet 271
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