Polytope 4131
Image of polytope 4131 PALP id: 4131
grdb id: 78175
Integer points: [ 1 0 0 2 -2 2 0 1 -2 0 -1 0 -1 -2 -1 -2 1 1 0 -1 0 -1 -1 1]
[ 0 1 0 -1 2 -1 -1 -1 -1 0 1 -1 0 1 -1 0 0 -1 0 1 -1 0 -1 -1]
[ 0 0 1 -1 1 -2 1 -2 1 -1 0 -1 0 1 0 1 -1 -1 0 1 0 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
9 rank 1, V10 x + y + z + 2*x-1*y*z + x-2*y2*z + x2*y-1*z-1 + 2*x*z-1 + 2*x*y-1 + 3*x-1*y + y-1*z + 4*x-1*z + 3*x-2*y*z + x2*y-1*z-2 + 4*x*y-1*z-1 + 3*z-1 + 5*y-1 + 6*x-1 + 2*x-1*y-1*z + 3*x-2*z + x*y-1*z-2 + 3*y-1*z-1 + 3*x-1*y-1 + x-2*y-1*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 11 3 Lattice Minkowski decompositions of facet 11
Image of facet 108 1 Lattice Minkowski decompositions of facet 108
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
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