Polytope 4277
Image of polytope 4277 PALP id: 4277
grdb id: 431397
Integer points: [ 1 0 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 0 0 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 -2 1 -4 3 2 1 0 -1 -2 -3 2 1 0 -1 -2 -3 0 -1 2 1 0 -1 -2 1 0 -1]
[ 0 0 1 1 -2 3 -4 -3 -2 -1 0 1 2 -3 -2 -1 0 1 2 -1 0 -2 -1 0 1 2 -1 0 1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
11 rank 2, number 6 x + y + z + 2*y*z-1 + 2*y-1*z + y*z-2 + 2*x-1*y2*z-2 + 3*z-1 + 8*x-1*y*z-1 + 3*y-1 + 12*x-1 + y-2*z + 8*x-1*y-1*z + 2*x-1*y-2*z2 + 2*x-1*y2*z-3 + 10*x-1*y*z-2 + 20*x-1*z-1 + 20*x-1*y-1 + 10*x-1*y-2*z + 2*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 1 irreducible and admissible
Image of facet 9 1 irreducible and admissible
Image of facet 215 1 Lattice Minkowski decompositions of facet 215
Image of facet 22 2 Lattice Minkowski decompositions of facet 22
Image of facet 319 1 Lattice Minkowski decompositions of facet 319
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