Polytope 3341
Image of polytope 3341 PALP id: 3341
grdb id: 526344
Integer points: [ 1 0 1 -3 -3 -5 0 -1 -2 -1 -2 -3 -4 -4 1 0 -1 -1 -2]
[ 0 1 0 0 -2 -2 0 0 0 -1 -1 -1 -1 -2 0 0 0 -1 -1]
[ 0 0 2 -2 -2 -4 1 0 -1 0 -1 -2 -3 -3 1 0 -1 -1 -2]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
31 rank 3, number 3 x*z2 + 2*x*z + x + y + 4*z + 6*x-1 + 2*x-1*z-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + 4*x-2*z-1 + 6*x-2*y-1*z-1 + 2*x-2*y-1*z-2 + x-3*z-2 + 6*x-3*y-1*z-2 + x-3*y-2*z-2 + 2*x-4*y-1*z-3 + 2*x-4*y-2*z-3 + x-5*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 1 irreducible and admissible
Image of facet 13 1 irreducible and admissible
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 127 1 Lattice Minkowski decompositions of facet 127
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