Polytope 3960
Image of polytope 3960 PALP id: 3960
grdb id: 281524
Integer points: [ 1 0 0 0 0 -1 -2 -6 -2 -3 -4 -5 -1 -2 -3 -4 -1 -1 -2 -3 0 -1]
[ 0 1 -1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0]
[ 0 0 0 1 1 1 -2 -4 0 -1 -2 -3 0 -1 -2 -3 -1 0 -1 -2 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
38 ? y*z + x + y + z + x-1*y*z + 5*x-1*y + 2*x-1*y*z-1 + y-1 + 4*x-1 + 5*x-2*y + 2*x-1*z-1 + 9*x-2*y*z-1 + x-2*y*z-2 + 5*x-2*z-1 + 10*x-3*y*z-1 + 7*x-3*y*z-2 + 2*x-3*z-2 + 10*x-4*y*z-2 + 2*x-4*y*z-3 + 5*x-5*y*z-3 + x-6*y*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 4 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 103 1 Lattice Minkowski decompositions of facet 103
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 201 1 Lattice Minkowski decompositions of facet 201
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