Polytope 793
Image of polytope 793 PALP id: 793
grdb id: 541695
Integer points: [ 1 0 0 -1 -3 -4 -3 -2 -2 -1 -1 0]
[ 0 1 0 1 -2 -2 -1 -1 0 0 -1 0]
[ 0 0 1 -1 0 -1 -1 0 -1 0 0 0]
Degree: 36
Hilbert function: 1 + 21 t + 95 t2 + 259 t3 + 549 t4 + 1001 t5 + 1651 t6 + 2535 t7 + 3689 t8 + 5149 t9 + 6951 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
37 rank 3, number 17 x + y + z + x-1*y*z-1 + 2*x-1 + 2*x-1*y-1 + 3*x-2*z-1 + 2*x-2*y-1 + 3*x-3*y-1*z-1 + x-3*y-2 + x-4*y-2*z-1
43 rank 5, number 3 x + y + z + x-1*y*z-1 + 4*x-1 + 2*x-1*y-1 + 3*x-2*z-1 + 3*x-2*y-1 + 3*x-3*y-1*z-1 + x-3*y-2 + x-4*y-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 70 1 Lattice Minkowski decompositions of facet 70
Image of facet 9 1 irreducible and admissible
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