Polytope 4292
Image of polytope 4292 PALP id: 4292
grdb id: 431027
Integer points: [ 1 0 0 -2 1 1 -5 0 -1 -2 -3 -4 1 0 -1 -2 -3 -4 0 -1 -2 -3 -1 1 0 -1 -2 1 0 -1]
[ 0 1 0 2 -2 -4 2 -3 -2 -1 0 1 -3 -2 -1 0 1 2 -1 0 1 2 1 -2 -1 0 1 -1 0 1]
[ 0 0 1 -1 2 2 -4 1 0 -1 -2 -3 2 1 0 -1 -2 -3 1 0 -1 -2 0 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 + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 2*x*y-2*z + 6*y-1*z + 2*x*y-3*z2 + 3*x-1*y*z-1 + x-2*y2*z-1 + 6*y-1 + 12*x-1 + 11*y-2*z + x*y-4*z2 + 6*x-1*z-1 + 10*x-2*y*z-1 + 24*x-1*y-1 + 6*y-3*z + 2*x-2*y*z-2 + 3*x-3*y2*z-2 + 26*x-2*z-1 + 15*x-1*y-2 + 14*x-3*y*z-2 + 20*x-2*y-1*z-1 + 3*x-4*y2*z-3 + 15*x-3*z-2 + 6*x-4*y*z-3 + x-5*y2*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 1 irreducible and admissible
Image of facet 322 1 Lattice Minkowski decompositions of facet 322
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
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