Polytope 4169
Image of polytope 4169 PALP id: 4169
grdb id: 263867
Integer points: [ 1 0 0 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
[ 0 1 0 -2 1 1 -3 1 1 1 1 0 0 0 0 -1 -1 -1 -2 -2 1 0 0 -1 -1]
[ 0 0 1 1 -2 1 1 -3 0 -1 -2 1 0 -1 -2 1 0 -1 1 0 -1 0 -1 1 0]
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
7 rank 1, V12 x + y + z + x-1*y*z + 2*y*z-1 + 4*x-1*y + 2*y-1*z + 4*x-1*z + y*z-2 + 4*z-1 + 6*x-1*y*z-1 + 4*y-1 + 12*x-1 + y-2*z + 6*x-1*y-1*z + 4*x-1*y*z-2 + 12*x-1*z-1 + 12*x-1*y-1 + 4*x-1*y-2*z + x-1*y*z-3 + 4*x-1*z-2 + 6*x-1*y-1*z-1 + 4*x-1*y-2 + x-1*y-3*z
11 rank 2, number 6 x + y + z + x-1*y*z + 2*y*z-1 + 4*x-1*y + 2*y-1*z + 4*x-1*z + y*z-2 + 3*z-1 + 6*x-1*y*z-1 + 3*y-1 + 12*x-1 + y-2*z + 6*x-1*y-1*z + 4*x-1*y*z-2 + 12*x-1*z-1 + 12*x-1*y-1 + 4*x-1*y-2*z + x-1*y*z-3 + 4*x-1*z-2 + 6*x-1*y-1*z-1 + 4*x-1*y-2 + x-1*y-3*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 2 irreducible and admissible
Image of facet 3 1 Lattice Minkowski decompositions of facet 3
Image of facet 93 1 Lattice Minkowski decompositions of facet 93
Image of facet 206 1 Lattice Minkowski decompositions of facet 206
Image of facet 59 2 Lattice Minkowski decompositions of facet 59
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