Polytope 4302
Image of polytope 4302 PALP id: 4302
grdb id: 430778
Integer points: [ 1 0 0 1 1 -2 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 0 0 0 0 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 -1 0 -4 3 2 1 0 -1 -2 -3 2 1 0 -1 -2 -3 1 0 -1 -2 2 1 0 -1 -2 1 0 -1]
[ 0 0 1 0 -1 3 -4 -3 -2 -1 0 1 2 -3 -2 -1 0 1 2 -2 -1 0 1 -2 -1 0 1 2 -1 0 1]
Degree: 10
Hilbert function: 1 + 8 t + 30 t2 + 77 t3 + 159 t4 + 286 t5 + 468 t6 + 715 t7 + 1037 t8 + 1444 t9 + 1946 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
9 rank 1, V10 x + y + z + x*z-1 + 3*y*z-1 + x*y-1 + 3*y-1*z + 3*y*z-2 + 2*x-1*y2*z-2 + 9*z-1 + 8*x-1*y*z-1 + 9*y-1 + 12*x-1 + 3*y-2*z + 8*x-1*y-1*z + 2*x-1*y-2*z2 + 3*x-1*y2*z-3 + 15*x-1*y*z-2 + 30*x-1*z-1 + 30*x-1*y-1 + 15*x-1*y-2*z + 3*x-1*y-3*z2 + x-2*y3*z-4 + 7*x-2*y2*z-3 + 21*x-2*y*z-2 + 35*x-2*z-1 + 35*x-2*y-1 + 21*x-2*y-2*z + 7*x-2*y-3*z2 + x-2*y-4*z3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 25 2 Lattice Minkowski decompositions of facet 25
Image of facet 308 1 Lattice Minkowski decompositions of facet 308
Image of facet 215 1 Lattice Minkowski decompositions of facet 215
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