Polytope 3031
Image of polytope 3031 PALP id: 3031
grdb id: 11582
Integer points: [ 1 1 0 0 0 0 -1 -1 -1 -1 -1 -1 0 -1 0 1 0]
[ 0 2 0 1 -1 0 -2 0 -1 0 -2 -1 1 -1 0 1 -1]
[ 0 0 1 1 -1 -1 0 0 1 1 -1 -1 0 0 0 0 0]
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*y2 + 2*x*y + y*z + x + 2*y + z + x-1*z + z-1 + 2*y-1 + x-1 + x-1*y-1*z + y-1*z-1 + 3*x-1*y-1 + x-1*y-1*z-1 + x-1*y-2 + x-1*y-2*z-1
20 rank 1, V16 x*y2 + 2*x*y + y*z + x + 2*y + z + x-1*z + z-1 + 2*y-1 + x-1 + x-1*y-1*z + y-1*z-1 + 2*x-1*y-1 + x-1*y-1*z-1 + x-1*y-2 + x-1*y-2*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 24 1 Lattice Minkowski decompositions of facet 24
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 11 6 Lattice Minkowski decompositions of facet 11
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