Polytope 2063
Image of polytope 2063 PALP id: 2063
grdb id: 491122
Integer points: [ 1 0 0 -1 -3 -4 -5 -4 -3 -2 -2 -1 -2 -1 0]
[ 0 1 0 -1 -2 -1 -2 -2 -1 -1 0 0 -1 -1 0]
[ 0 0 1 1 0 -2 -2 -1 -1 0 -1 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
69 rank 4, number 7 x + y + z + 3*x-1 + x-1*y-1*z + 2*x-1*y-1 + 2*x-2*z-1 + 3*x-2*y-1 + 2*x-2*y-1*z-1 + 4*x-3*y-1*z-1 + x-3*y-2 + x-4*y-1*z-2 + 2*x-4*y-2*z-1 + x-5*y-2*z-2
37 rank 3, number 17 x + y + z + 2*x-1 + x-1*y-1*z + 2*x-1*y-1 + 2*x-2*z-1 + 3*x-2*y-1 + 2*x-2*y-1*z-1 + 3*x-3*y-1*z-1 + x-3*y-2 + x-4*y-1*z-2 + 2*x-4*y-2*z-1 + x-5*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 3 irreducible and admissible
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 143 1 Lattice Minkowski decompositions of facet 143
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