Polytope 3926
Image of polytope 3926 PALP id: 3926
grdb id: 283519
Integer points: [ 1 1 -1 -1 0 0 1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 1 1 1]
[ 0 2 -2 0 0 3 -2 -4 -2 -3 -1 -3 -1 1 -2 0 2 -1 1 0 -1 1]
[ 0 0 0 0 1 1 -2 -2 -1 -1 0 -2 -1 0 -1 0 1 0 1 -1 -1 0]
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
49 rank 2, number 4 y3*z + x*y2 + 3*y2*z + 2*x*y + 3*y*z + x + 3*y + z + 2*x*z-1 + 2*x*y-1*z-1 + 4*y-1 + x-1 + 4*y-1*z-1 + 2*x-1*y-1 + x*y-2*z-2 + 5*y-2*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 2*y-3*z-2 + 2*x-1*y-3*z-1 + x-1*y-4*z-2
9 rank 1, V10 y3*z + x*y2 + 3*y2*z + 2*x*y + 3*y*z + x + 3*y + z + 2*x*z-1 + 2*x*y-1*z-1 + 3*y-1 + x-1 + 4*y-1*z-1 + 2*x-1*y-1 + x*y-2*z-2 + 4*y-2*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 2*y-3*z-2 + 2*x-1*y-3*z-1 + x-1*y-4*z-2
49 rank 2, number 4 y3*z + x*y2 + 3*y2*z + 2*x*y + 3*y*z + x + 4*y + z + 2*x*z-1 + 2*x*y-1*z-1 + 3*y-1 + x-1 + 5*y-1*z-1 + 2*x-1*y-1 + x*y-2*z-2 + 4*y-2*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 2*y-3*z-2 + 2*x-1*y-3*z-1 + x-1*y-4*z-2
72 ? y3*z + x*y2 + 3*y2*z + 2*x*y + 3*y*z + x + 4*y + z + 2*x*z-1 + 2*x*y-1*z-1 + 4*y-1 + x-1 + 5*y-1*z-1 + 2*x-1*y-1 + x*y-2*z-2 + 5*y-2*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 2*y-3*z-2 + 2*x-1*y-3*z-1 + x-1*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 81 2 Lattice Minkowski decompositions of facet 81
Image of facet 44 2 Lattice Minkowski decompositions of facet 44
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