Polytope 3350
Image of polytope 3350 PALP id: 3350
grdb id: 458642
Integer points: [ 1 0 -2 1 -1 0 -2 -1 -2 -1 0 -1 0 -1 0 -1 0 1 0]
[ 0 1 1 0 -2 1 -1 1 0 0 0 -1 -1 1 1 0 0 0 -1]
[ 0 0 0 2 -2 2 -2 1 -1 0 1 -1 0 0 1 -1 0 1 -1]
Degree: 14
Hilbert function: 1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
18 rank 1, V14 x*z2 + y*z2 + 2*x*z + 2*y*z + x + y + 4*z + 2*x-1*y*z + 2*x-1*y + 2*y-1 + 6*x-1 + x-2*y + 2*y-1*z-1 + 2*x-1*z-1 + 4*x-1*y-1*z-1 + 2*x-2*z-1 + x-1*y-2*z-2 + x-2*y-1*z-2
26 rank 2, number 8 x*z2 + y*z2 + 2*x*z + 2*y*z + x + y + 2*z + 2*x-1*y*z + 2*x-1*y + 2*y-1 + 3*x-1 + x-2*y + 2*y-1*z-1 + 2*x-1*z-1 + 2*x-1*y-1*z-1 + 2*x-2*z-1 + x-1*y-2*z-2 + x-2*y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 3 Lattice Minkowski decompositions of facet 16
Image of facet 15 2 Lattice Minkowski decompositions of facet 15
Image of facet 135 1 Lattice Minkowski decompositions of facet 135
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