Polytope 3570
Image of polytope 3570 PALP id: 3570
grdb id: 524845
Integer points: [ 1 0 0 -1 -3 -3 -3 -3 -3 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0]
[ 0 1 0 -2 0 -4 -1 -2 -3 0 -1 -2 -3 0 -1 0 -1 -2 0 -1]
[ 0 0 1 0 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 -1 -1 -1 0 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
67 rank 3, number 10 x + y + z + 2*y-1 + 3*x-1 + 2*x-1*z-1 + 4*x-1*y-1 + 4*x-1*y-1*z-1 + 3*x-2*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 8*x-2*y-1*z-1 + x-3*z-2 + 7*x-2*y-2*z-1 + 4*x-3*y-1*z-2 + 2*x-2*y-3*z-1 + 6*x-3*y-2*z-2 + 4*x-3*y-3*z-2 + x-3*y-4*z-2
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 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 9 1 irreducible and admissible
Image of facet 167 1 Lattice Minkowski decompositions of facet 167
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