Polytope 376
Image of polytope 376 PALP id: 376
grdb id: 254876
Integer points: [ 1 0 -1 0 -2 0 -2 -1 -1 0]
[ 0 1 -1 0 0 -1 1 1 0 0]
[ 0 0 0 1 -1 1 -1 0 0 0]
Degree: 42
Hilbert function: 1 + 24 t + 110 t2 + 301 t3 + 639 t4 + 1166 t5 + 1924 t6 + 2955 t7 + 4301 t8 + 6004 t9 + 8106 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
86 rank 3, number 24 x + y + z + x-1*y + y-1*z + 2*x-1 + x-2*y*z-1 + x-1*y-1 + x-2*z-1
142 rank 4, number 10 x + y + z + x-1*y + y-1*z + 3*x-1 + x-2*y*z-1 + x-1*y-1 + x-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 8 irreducible and admissible
Image of facet 24 1 Lattice Minkowski decompositions of facet 24
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