Polytope 4014
Image of polytope 4014 PALP id: 4014
grdb id: 522631
Integer points: [ 1 0 1 -3 -5 -1 -2 -3 -4 0 -1 -2 -3 -4 0 -1 -2 0 -1 -2 1 0 -1]
[ 0 1 0 0 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 0 0 0]
[ 0 0 2 -2 -2 2 1 0 -1 2 1 0 -1 -2 1 0 -1 1 0 -1 1 0 -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
75 ? x*z2 + 2*x*z + x + y + 4*z + 2*y-1*z2 + 2*y-1*z + 8*x-1 + 8*x-1*y-1*z + x-1*y-2*z2 + 2*x-1*z-1 + 4*x-1*y-1 + 4*x-2*z-1 + 13*x-2*y-1 + 4*x-2*y-2*z + 2*x-2*y-1*z-1 + x-3*z-2 + 8*x-3*y-1*z-1 + 6*x-3*y-2 + 2*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + x-5*y-2*z-2
13 rank 2, number 12 x*z2 + 2*x*z + x + y + 2*z + 2*y-1*z2 + 2*y-1*z + 3*x-1 + 6*x-1*y-1*z + x-1*y-2*z2 + 2*x-1*z-1 + 4*x-1*y-1 + 2*x-2*z-1 + 8*x-2*y-1 + 4*x-2*y-2*z + 2*x-2*y-1*z-1 + x-3*z-2 + 6*x-3*y-1*z-1 + 6*x-3*y-2 + 2*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + x-5*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 2 irreducible and admissible
Image of facet 274 1 Lattice Minkowski decompositions of facet 274
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
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