Polytope 4202
Image of polytope 4202 PALP id: 4202
grdb id: 433519
Integer points: [ 1 1 1 0 0 -2 -2 0 -1 0 -1 -2 -1 -2 1 0 -1 1 0 -1 0 -1 -1 1 0 0]
[ 0 2 0 2 -1 -3 0 -1 -2 0 -1 -2 0 -1 0 -1 -2 1 0 -1 1 0 1 1 0 1]
[ 0 0 2 -1 -1 -1 -1 1 0 1 0 -1 0 -1 1 0 -1 1 0 -1 0 -1 -1 0 -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*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + y2*z-1 + x + 4*y + 3*z + 3*y*z-1 + 3*y-1*z + 3*z-1 + 2*x-1*y*z-1 + 4*y-1 + 3*x-1 + y-1*z-1 + 6*x-1*z-1 + 6*x-1*y-1 + 6*x-1*y-1*z-1 + x-2*z-1 + 3*x-1*y-2 + 2*x-1*y-2*z-1 + 3*x-2*y-1*z-1 + 3*x-2*y-2*z-1 + x-2*y-3*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
Image of facet 35 2 Lattice Minkowski decompositions of facet 35
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 125 1 Lattice Minkowski decompositions of facet 125
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