Polytope 4215
Image of polytope 4215 PALP id: 4215
grdb id: 261648
Integer points: [ 1 0 0 2 -2 2 -4 0 1 0 -1 1 0 -1 -2 -3 -1 -2 -3 1 1 0 -1 0 -1 -2]
[ 0 1 0 -1 2 -2 2 -2 -1 0 1 -2 -1 0 1 2 -1 0 1 0 -1 0 1 -1 0 1]
[ 0 0 1 -2 1 -3 3 -1 -2 -1 0 -2 -1 0 1 2 0 1 2 -1 -1 0 1 0 1 2]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 x + y + z + 3*x-1*y*z + x-2*y2*z + 2*x-2*y*z2 + 2*x-3*y2*z2 + x-4*y2*z3 + 2*x*z-1 + 4*x-1*y + 4*x-1*z + 8*x-2*y*z + 4*x-3*y*z2 + x2*y-1*z-2 + 3*x*y-1*z-1 + 6*z-1 + 2*y-1 + 12*x-1 + 6*x-2*z + 4*x*y-1*z-2 + 8*y-1*z-1 + 4*x-1*y-1 + x2*y-2*z-3 + 2*x*y-2*z-2 + y-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 1 irreducible and admissible
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 30 2 Lattice Minkowski decompositions of facet 30
Image of facet 214 1 Lattice Minkowski decompositions of facet 214
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