Polytope 4166
Image of polytope 4166 PALP id: 4166
grdb id: 264812
Integer points: [ 1 0 1 -2 1 0 1 -2 1 0 1 0 1 0 -1 1 0 -1 1 0 -1 0 -1 0 -1]
[ 0 1 0 3 -3 -2 -1 2 -2 -1 -1 0 -2 -1 0 -1 0 1 0 1 2 0 1 1 2]
[ 0 0 2 2 -3 -3 1 1 -2 -2 -1 -1 -1 -1 -1 0 0 0 1 1 1 1 1 2 2]
Degree: 8
Hilbert function: 1 + 7 t + 25 t2 + 63 t3 + 129 t4 + 231 t5 + 377 t6 + 575 t7 + 833 t8 + 1159 t9 + 1561 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
5 rank 1, V8 x*z2 + 3*y*z2 + 3*x-1*y2*z2 + x-2*y3*z2 + 2*x*z + 4*y*z + 2*x-1*y2*z + x + y + x*y-1*z + 3*z + 3*x-1*y*z + x-2*y2*z + 4*x*y-1 + 4*x-1*y + 3*x*y-1*z-1 + 3*z-1 + 2*x*y-2*z-1 + 4*y-1*z-1 + 2*x-1*z-1 + 3*x*y-2*z-2 + 3*y-1*z-2 + x*y-3*z-3 + y-2*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 35 4 Lattice Minkowski decompositions of facet 35
Image of facet 60 2 Lattice Minkowski decompositions of facet 60
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