Polytope 4016
Image of polytope 4016 PALP id: 4016
grdb id: 522644
Integer points: [ 1 0 0 0 -2 -6 -1 -2 -3 -4 -5 0 -1 -2 -3 0 -1 -2 -3 -4 0 -1 -1]
[ 0 1 -1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1]
[ 0 0 0 2 -2 -4 1 0 -1 -2 -3 1 0 -1 -2 1 0 -1 -2 -3 0 -1 -1]
Degree: 20
Hilbert function: 1 + 13 t + 55 t2 + 147 t3 + 309 t4 + 561 t5 + 923 t6 + 1415 t7 + 2057 t8 + 2869 t9 + 3871 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
13 rank 2, number 12 y*z2 + 2*y*z + x + y + 2*z + 6*x-1*y*z + 8*x-1*y + 2*x-1*y*z-1 + y-1 + 6*x-1 + 15*x-2*y + 2*x-1*z-1 + 12*x-2*y*z-1 + x-2*y*z-2 + 6*x-2*z-1 + 20*x-3*y*z-1 + 8*x-3*y*z-2 + 2*x-3*z-2 + 15*x-4*y*z-2 + 2*x-4*y*z-3 + 6*x-5*y*z-3 + x-6*y*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 3 irreducible and admissible
Image of facet 212 1 Lattice Minkowski decompositions of facet 212
Image of facet 22 1 Lattice Minkowski decompositions of facet 22
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
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