Polytope 3140
Image of polytope 3140 PALP id: 3140
grdb id: 337773
Integer points: [ 1 0 0 -2 1 -3 -3 1 -1 0 -1 -2 0 -1 -2 1 0 -1]
[ 0 1 0 2 -2 2 1 -3 1 -1 0 1 -2 -1 0 -1 0 1]
[ 0 0 1 -1 2 -2 -2 2 0 1 0 -1 1 0 -1 1 0 -1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
151 rank 3, number 4 x + y + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 5*y-1*z + x*y-3*z2 + 2*x-1*y*z-1 + x-2*y2*z-1 + 8*x-1 + 4*y-2*z + 5*x-2*y*z-1 + 6*x-1*y-1 + x-3*y2*z-2 + 4*x-2*z-1 + x-3*y*z-2
31 rank 3, number 3 x + y + 2*x*y-1*z + z + x*y-2*z2 + 2*x-1*y + 4*y-1*z + x*y-3*z2 + 2*x-1*y*z-1 + x-2*y2*z-1 + 6*x-1 + 4*y-2*z + 4*x-2*y*z-1 + 6*x-1*y-1 + x-3*y2*z-2 + 4*x-2*z-1 + x-3*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 1 3 irreducible and admissible
Image of facet 187 1 Lattice Minkowski decompositions of facet 187
Image of facet 13 1 irreducible and admissible
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