Polytope 4008
Image of polytope 4008 PALP id: 4008
grdb id: 522622
Integer points: [ 1 1 1 -3 -3 3 -1 2 0 -2 1 -1 -3 2 0 -2 -1 1 -1 2 0 1 -1]
[ 0 2 0 0 -2 2 1 2 1 0 1 0 -1 1 0 -1 -1 1 0 1 0 0 -1]
[ 0 0 2 -2 0 2 -1 1 0 -1 1 0 -1 2 1 0 1 0 -1 1 0 1 0]
Degree: 14
Hilbert function: 1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
26 rank 2, number 8 x3*y2*z2 + 2*x2*y2*z + 2*x2*y*z2 + 2*x2*y*z + x*y2 + 4*x*y*z + x*z2 + 2*x*y + 2*x*z + x + 4*y + 4*z + 2*x-1*y*z-1 + 5*x-1 + 2*x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 2*x-2*z-1 + 2*x-2*y-1 + x-3*z-2 + 2*x-3*y-1*z-1 + x-3*y-2
18 rank 1, V14 x3*y2*z2 + 2*x2*y2*z + 2*x2*y*z2 + 2*x2*y*z + x*y2 + 7*x*y*z + x*z2 + 2*x*y + 2*x*z + x + 6*y + 6*z + 2*x-1*y*z-1 + 8*x-1 + 2*x-1*y-1*z + 2*x-1*z-1 + 2*x-1*y-1 + 4*x-2*z-1 + 4*x-2*y-1 + x-3*z-2 + 2*x-3*y-1*z-1 + x-3*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 5 Lattice Minkowski decompositions of facet 16
Image of facet 270 1 Lattice Minkowski decompositions of facet 270
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