Polytope 4293
Image of polytope 4293 PALP id: 4293
grdb id: 430976
Integer points: [ 1 0 1 0 1 1 -6 0 -1 -2 -3 -4 -5 1 0 -1 -2 -3 -4 1 0 -1 -2 0 -1 -2 -3 1 0 -1]
[ 0 1 -1 0 -2 -4 3 -3 -2 -1 0 1 2 -3 -2 -1 0 1 2 -2 -1 0 1 -1 0 1 2 -1 0 1]
[ 0 0 0 1 -2 -3 4 -2 -1 0 1 2 3 -2 -1 0 1 2 3 -1 0 1 2 -1 0 1 2 -1 0 1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
7 rank 1, V12 x + y + z + 3*x-1*y*z + 3*x-2*y*z2 + 2*x-3*y2*z2 + 3*x-4*y2*z3 + x-6*y3*z4 + x*y-1 + 9*x-1*z + 7*x-2*y*z + 15*x-3*y*z2 + 7*x-5*y2*z3 + 2*x*y-1*z-1 + 9*y-1 + 9*x-1 + 30*x-2*z + 21*x-4*y*z2 + 3*x*y-2*z-1 + 5*y-1*z-1 + 30*x-1*y-1 + 35*x-3*z + x*y-2*z-2 + 15*y-2*z-1 + 35*x-2*y-1 + 3*x*y-3*z-2 + 21*x-1*y-2*z-1 + 7*y-3*z-2 + x*y-4*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 195 1 Lattice Minkowski decompositions of facet 195
Image of facet 308 1 Lattice Minkowski decompositions of facet 308
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 44 1 Lattice Minkowski decompositions of facet 44
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