Polytope 1857
Image of polytope 1857 PALP id: 1857
grdb id: 244786
Integer points: [ 1 0 0 -1 0 -1 -1 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 0 -1 -1 0 -2 -2 -1 0 -1 0 -1]
[ 0 0 1 -1 1 -1 1 0 1 1 0 0 0 0]
Degree: 30
Hilbert function: 1 + 18 t + 80 t2 + 217 t3 + 459 t4 + 836 t5 + 1378 t6 + 2115 t7 + 3077 t8 + 4294 t9 + 5796 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
122 rank 4, number 3 x + y + z + y-1*z + x-1*z + 2*y-1 + 2*x-1 + 2*x-1*y-1*z + x-1*z-1 + 3*x-1*y-1 + x-1*y-2*z + x-1*y-1*z-1 + x-1*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 5 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 30 1 Lattice Minkowski decompositions of facet 30
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