Polytope 2153
Image of polytope 2153 PALP id: 2153
grdb id: 387094
Integer points: [ 1 0 0 -2 -2 0 -4 -2 -1 -3 -2 -1 -3 -1 0]
[ 0 1 0 0 -1 -1 -2 -2 -1 -2 -1 0 -1 -1 0]
[ 0 0 1 -1 -1 1 -1 1 1 0 0 0 -1 0 0]
Degree: 36
Hilbert function: 1 + 21 t + 95 t2 + 259 t3 + 549 t4 + 1001 t5 + 1651 t6 + 2535 t7 + 3689 t8 + 5149 t9 + 6951 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
87 rank 5, number 2 x + y + z + y-1*z + 3*x-1 + 2*x-1*y-1*z + 3*x-1*y-1 + x-2*z-1 + 4*x-2*y-1 + x-2*y-2*z + x-2*y-1*z-1 + 2*x-3*y-1*z-1 + 2*x-3*y-2 + x-4*y-2*z-1
69 rank 4, number 7 x + y + z + y-1*z + 3*x-1 + 2*x-1*y-1*z + 2*x-1*y-1 + x-2*z-1 + 4*x-2*y-1 + x-2*y-2*z + x-2*y-1*z-1 + 2*x-3*y-1*z-1 + 2*x-3*y-2 + x-4*y-2*z-1
131 ? x + y + z + y-1*z + 4*x-1 + 2*x-1*y-1*z + 3*x-1*y-1 + x-2*z-1 + 5*x-2*y-1 + x-2*y-2*z + x-2*y-1*z-1 + 2*x-3*y-1*z-1 + 2*x-3*y-2 + x-4*y-2*z-1
43 rank 5, number 3 x + y + z + y-1*z + 4*x-1 + 2*x-1*y-1*z + 2*x-1*y-1 + x-2*z-1 + 5*x-2*y-1 + x-2*y-2*z + x-2*y-1*z-1 + 2*x-3*y-1*z-1 + 2*x-3*y-2 + x-4*y-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 81 1 Lattice Minkowski decompositions of facet 81
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