Polytope 4270
Image of polytope 4270 PALP id: 4270
grdb id: 257604
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0]
[ 0 1 0 1 1 -1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 0 -1 -1 -1 -1 0 0]
[ 0 0 1 0 -1 2 2 -4 1 0 -1 -2 -3 1 0 -1 -2 -3 1 0 -1 -2 1 0 -1 -2 0 -1]
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
18 rank 1, V14 x + y + z + x-1*y + 2*y-1*z + 2*x-1*z + x-1*y-1*z2 + 3*z-1 + x-1*y*z-1 + 6*y-1 + 7*x-1 + 7*x-1*y-1*z + x-1*y-2*z2 + 6*y-1*z-1 + 8*x-1*z-1 + 18*x-1*y-1 + 6*x-1*y-2*z + 2*y-1*z-2 + 3*x-1*z-2 + 22*x-1*y-1*z-1 + 15*x-1*y-2 + 13*x-1*y-1*z-2 + 20*x-1*y-2*z-1 + 3*x-1*y-1*z-3 + 15*x-1*y-2*z-2 + 6*x-1*y-2*z-3 + x-1*y-2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 302 1 Lattice Minkowski decompositions of facet 302
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
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