Polytope 1782
Image of polytope 1782 PALP id: 1782
grdb id: 236727
Integer points: [ 1 0 0 0 0 1 -2 -1 -2 -1 0 -1 0 -1]
[ 0 1 0 0 -1 -1 1 -1 0 0 -1 0 0 1]
[ 0 0 1 -1 0 -1 0 -1 -1 0 -1 -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
60 rank 2, number 18 x + y + z + 2*x-1*y + x*y-1*z-1 + z-1 + y-1 + x-1 + x-2*y + 2*y-1*z-1 + 2*x-1*z-1 + x-1*y-1*z-1 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 10 1 Lattice Minkowski decompositions of facet 10
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 15 2 Lattice Minkowski decompositions of facet 15
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