Polytope 3997
Image of polytope 3997 PALP id: 3997
grdb id: 544752
Integer points: [ 1 0 1 -3 -7 -1 -3 -5 0 -2 -4 -6 -1 -3 -5 -2 -4 1 -1 -3 0 -2 -1]
[ 0 1 0 0 -4 -1 -2 -3 0 -1 -2 -3 0 -1 -2 0 -1 0 -1 -2 0 -1 0]
[ 0 0 2 -2 -6 0 -2 -4 1 -1 -3 -5 0 -2 -4 -1 -3 1 -1 -3 0 -2 -1]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
20 rank 1, V16 x*z2 + 2*x*z + x + y + 4*z + 6*x-1 + 3*x-1*z-1 + 4*x-1*y-1 + 4*x-1*y-1*z-1 + 4*x-2*z-1 + 12*x-2*y-1*z-1 + 4*x-2*y-1*z-2 + x-3*z-2 + 12*x-3*y-1*z-2 + 6*x-3*y-2*z-2 + 2*x-3*y-2*z-3 + 4*x-4*y-1*z-3 + 12*x-4*y-2*z-3 + 6*x-5*y-2*z-4 + 4*x-5*y-3*z-4 + 4*x-6*y-3*z-5 + x-7*y-4*z-6
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 1 irreducible and admissible
Image of facet 76 1 Lattice Minkowski decompositions of facet 76
Image of facet 13 1 irreducible and admissible
Image of facet 206 1 Lattice Minkowski decompositions of facet 206
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