Polytope 4268
Image of polytope 4268 PALP id: 4268
grdb id: 258029
Integer points: [ 1 0 0 2 -1 -2 -2 2 1 -1 0 1 2 -1 0 1 -1 0 -1 0 1 -2 -1 0 1 -2 -1 0]
[ 0 1 0 -2 2 3 0 -4 -1 0 -1 -2 -3 1 0 -1 2 1 -1 -2 -3 1 0 -1 -2 2 1 0]
[ 0 0 1 1 -2 -2 1 1 1 1 1 1 1 0 0 0 -1 -1 1 1 1 0 0 0 0 -1 -1 -1]
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 + y + x2*y-2*z + 2*x*y-1*z + z + 2*y*z-1 + 2*x-1*y2*z-1 + 4*x*y-1 + 4*x-1*y + 2*x2*y-3*z + 6*x*y-2*z + 6*y-1*z + 2*x-1*z + x-1*y2*z-2 + x-2*y3*z-2 + 3*z-1 + 6*x-1*y*z-1 + 3*x-2*y2*z-1 + 3*x*y-2 + 9*y-1 + 9*x-1 + 3*x-2*y + x2*y-4*z + 4*x*y-3*z + 6*y-2*z + 4*x-1*y-1*z + x-2*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 192 1 Lattice Minkowski decompositions of facet 192
Image of facet 35 2 Lattice Minkowski decompositions of facet 35
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
Image of facet 127 1 Lattice Minkowski decompositions of facet 127
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