Polytope 2904
Image of polytope 2904 PALP id: 2904
grdb id: 185509
Integer points: [ 1 0 -1 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 -1 0 -2 2 -2 2 -1 1 0 1 0 -1 1 0 -1]
[ 0 0 0 1 1 -2 2 -1 2 0 1 -1 0 1 -1 0 1]
Degree: 22
Hilbert function: 1 + 14 t + 60 t2 + 161 t3 + 339 t4 + 616 t5 + 1014 t6 + 1555 t7 + 2261 t8 + 3154 t9 + 4256 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
146 rank 3, number 6 x + y + z + 2*y*z-1 + x-1*y2*z-1 + 3*x-1*y + 2*y-1*z + 3*x-1*z + x-1*y-1*z2 + x-1*y2*z-2 + 3*x-1*y*z-1 + 3*x-1 + 2*x-1*y-1*z + x-1*y-2*z2 + x-1*y-1 + x-1*y-2*z
127 ? x + y + z + 2*y*z-1 + x-1*y2*z-1 + 3*x-1*y + 2*y-1*z + 3*x-1*z + x-1*y-1*z2 + x-1*y2*z-2 + 4*x-1*y*z-1 + 6*x-1 + 5*x-1*y-1*z + x-1*y-2*z2 + x-1*y-1 + x-1*y-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 2 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 145 1 Lattice Minkowski decompositions of facet 145
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