Polytope 288
Image of polytope 288 PALP id: 288
grdb id: 518000
Integer points: [ 1 -1 0 0 -2 2 -1 0 1 0]
[ 0 0 1 0 -1 -1 -1 -1 -1 0]
[ 0 0 0 1 -1 -1 -1 -1 -1 0]
Degree: 26
Hilbert function: 1 + 16 t + 70 t2 + 189 t3 + 399 t4 + 726 t5 + 1196 t6 + 1835 t7 + 2669 t8 + 3724 t9 + 5026 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
68 rank 3, number 9 x + y + z + x2*y-1*z-1 + 4*x*y-1*z-1 + x-1 + 6*y-1*z-1 + 4*x-1*y-1*z-1 + x-2*y-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 6 irreducible and admissible
Image of facet 13 2 irreducible and admissible
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