Polytope 3963
Image of polytope 3963 PALP id: 3963
grdb id: 98325
Integer points: [ 1 0 1 1 -2 0 -1 1 -2 -1 -1 0 -1 0 -1 0 1 0 1 0 0 1]
[ 0 1 1 0 -2 1 -2 1 -1 0 0 1 -1 0 -1 0 1 0 1 -1 -1 0]
[ 0 0 0 2 -3 2 -2 3 -2 0 -1 1 -1 1 -2 0 2 -1 1 0 -1 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
49 rank 2, number 4 x*y*z3 + 3*x*y*z2 + 3*x*y*z + x*z2 + y*z2 + x*y + 2*x*z + 2*y*z + x + y + 4*z + 3*z-1 + 2*y-1 + 2*x-1 + 2*y-1*z-1 + 2*x-1*z-1 + 4*x-1*y-1*z-1 + 3*x-1*y-1*z-2 + x-1*y-2*z-2 + x-2*y-1*z-2 + x-2*y-2*z-3
9 rank 1, V10 x*y*z3 + 3*x*y*z2 + 3*x*y*z + x*z2 + y*z2 + x*y + 2*x*z + 2*y*z + x + y + 3*z + 3*z-1 + 2*y-1 + 2*x-1 + 2*y-1*z-1 + 2*x-1*z-1 + 3*x-1*y-1*z-1 + 3*x-1*y-1*z-2 + x-1*y-2*z-2 + x-2*y-1*z-2 + x-2*y-2*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 96 1 Lattice Minkowski decompositions of facet 96
Image of facet 44 4 Lattice Minkowski decompositions of facet 44
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