Polytope 3614
Image of polytope 3614 PALP id: 3614
grdb id: 447951
Integer points: [ 1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0]
[ 0 1 0 -2 2 -2 0 -1 1 0 -1 -2 1 0 -1 0 -1 1 0 -1]
[ 0 0 1 2 -2 0 -2 -1 -2 -1 0 1 -1 0 1 -1 0 -1 0 1]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
40 rank 2, number 10 x + y + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 2*z-1 + 4*x-1*y*z-1 + 2*y-1 + 6*x-1 + 4*x-1*y-1*z + x-1*y-2*z2 + 2*x-1*y*z-2 + 6*x-1*z-1 + 6*x-1*y-1 + 2*x-1*y-2*z + x-1*z-2 + 2*x-1*y-1*z-1 + x-1*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 2 irreducible and admissible
Image of facet 49 1 Lattice Minkowski decompositions of facet 49
Image of facet 16 3 Lattice Minkowski decompositions of facet 16
Image of facet 127 1 Lattice Minkowski decompositions of facet 127
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