Polytope 2104
Image of polytope 2104 PALP id: 2104
grdb id: 387010
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 1 1 -1 -2 -1 0 1 0 -1 0 0 -1]
[ 0 0 1 -1 1 -1 0 1 1 0 0 0 -1 0 0]
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
85 rank 3, number 8 x + y + z + x-1*y*z + 2*x-1*y + 2*x-1*z + x-1*y*z-1 + 2*y-1 + 4*x-1 + x-1*y-1*z + 2*x-1*z-1 + 3*x-1*y-1 + x-1*y-1*z-1 + x-1*y-2
134 ? x + y + z + x-1*y*z + 2*x-1*y + 2*x-1*z + x-1*y*z-1 + 2*y-1 + 5*x-1 + x-1*y-1*z + 2*x-1*z-1 + 4*x-1*y-1 + x-1*y-1*z-1 + x-1*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 4 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 81 1 Lattice Minkowski decompositions of facet 81
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