Polytope 4154
Image of polytope 4154 PALP id: 4154
grdb id: 521439
Integer points: [ 1 0 1 -4 -5 1 0 -1 -2 -3 -4 1 0 -1 -2 -3 0 -1 -2 1 0 -1 -2 1 0]
[ 0 1 0 -1 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 0 0]
[ 0 0 2 -2 -2 4 3 2 1 0 -1 3 2 1 0 -1 1 0 -1 2 1 0 -1 1 0]
Degree: 22
Hilbert function: 1 + 14 t + 60 t2 + 161 t3 + 339 t4 + 616 t5 + 1014 t6 + 1555 t7 + 2261 t8 + 3154 t9 + 4256 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
17 rank 1, V22 x*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 2*x*y-1*z2 + x + y + 5*z + 10*y-1*z2 + 6*y-2*z3 + 6*y-1*z + 6*x-1 + 19*x-1*y-1*z + 15*x-1*y-2*z2 + 6*x-1*y-1 + 2*x-2*z-1 + 17*x-2*y-1 + 20*x-2*y-2*z + 2*x-2*y-1*z-1 + 7*x-3*y-1*z-1 + 15*x-3*y-2 + x-4*y-1*z-2 + 6*x-4*y-2*z-1 + x-5*y-2*z-2
59 rank 2, number 16 x*z2 + 2*x*y-1*z3 + x*y-2*z4 + 2*x*z + 2*x*y-1*z2 + x + y + 4*z + 9*y-1*z2 + 6*y-2*z3 + 6*y-1*z + 5*x-1 + 16*x-1*y-1*z + 15*x-1*y-2*z2 + 6*x-1*y-1 + 2*x-2*z-1 + 14*x-2*y-1 + 20*x-2*y-2*z + 2*x-2*y-1*z-1 + 6*x-3*y-1*z-1 + 15*x-3*y-2 + x-4*y-1*z-2 + 6*x-4*y-2*z-1 + x-5*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 3 irreducible and admissible
Image of facet 294 1 Lattice Minkowski decompositions of facet 294
Image of facet 119 1 Lattice Minkowski decompositions of facet 119
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