Polytope 4193
Image of polytope 4193 PALP id: 4193
grdb id: 521215
Integer points: [ 1 1 0 0 1 -3 -2 -1 0 -2 -1 0 1 -1 0 -2 -1 0 1 -1 0 1 0 -1 0 0]
[ 0 2 0 3 -2 -6 -5 -4 -3 -3 -2 -1 0 0 1 -4 -3 -2 -1 -1 0 1 2 -2 -1 1]
[ 0 0 1 1 -2 -2 -2 -2 -2 -1 -1 -1 -1 0 0 -1 -1 -1 -1 0 0 0 1 0 0 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 y3*z + x*y2 + 3*y2*z + 2*x*y + 3*y*z + x + 4*y + z + 2*x*z-1 + 2*x*y-1*z-1 + 4*y-1 + 3*x-1 + 7*y-1*z-1 + 6*x-1*y-1 + x*y-2*z-2 + 7*y-2*z-1 + 3*x-1*y-2 + 8*x-1*y-2*z-1 + 4*y-3*z-2 + 8*x-1*y-3*z-1 + 3*x-2*y-3*z-1 + 6*x-1*y-4*z-2 + 3*x-2*y-4*z-1 + 4*x-2*y-5*z-2 + x-3*y-6*z-2
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 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 167 2 Lattice Minkowski decompositions of facet 167
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