Polytope 1988
Image of polytope 1988 PALP id: 1988
grdb id: 534498
Integer points: [ 1 0 1 -3 -3 1 -2 -2 -1 -1 0 0 -1 0 1]
[ 0 1 0 0 -1 -1 -1 0 -1 0 -1 0 0 0 0]
[ 0 0 2 -2 -1 3 0 -1 1 0 2 1 -1 0 1]
Degree: 24
Hilbert function: 1 + 15 t + 65 t2 + 175 t3 + 369 t4 + 671 t5 + 1105 t6 + 1695 t7 + 2465 t8 + 3439 t9 + 4641 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
134 ? x*z2 + x*y-1*z3 + 2*x*z + x + y + 2*z + 4*y-1*z2 + 3*x-1 + 6*x-1*y-1*z + 2*x-1*z-1 + 3*x-2*z-1 + 4*x-2*y-1 + x-3*z-2 + x-3*y-1*z-1
135 ? x*z2 + x*y-1*z3 + 2*x*z + x + y + 5*z + 4*y-1*z2 + 6*x-1 + 6*x-1*y-1*z + 2*x-1*z-1 + 4*x-2*z-1 + 4*x-2*y-1 + x-3*z-2 + x-3*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 4 irreducible and admissible
Image of facet 13 1 irreducible and admissible
Image of facet 137 1 Lattice Minkowski decompositions of facet 137
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