Polytope 3375
Image of polytope 3375 PALP id: 3375
grdb id: 456805
Integer points: [ 1 1 -1 -1 0 -3 -3 -2 -3 -2 -1 -2 -1 0 -1 0 -1 0 1]
[ 0 2 -2 0 0 -2 -4 -3 -3 -2 -1 -1 -2 -1 -1 0 0 1 1]
[ 0 0 0 0 1 -2 -2 -1 -2 -1 0 -1 -1 0 -1 0 -1 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
20 rank 1, V16 x*y2 + 2*x*y + x + 2*y + z + 2*y-1 + x-1 + 2*x-1*z-1 + 3*x-1*y-1 + 4*x-1*y-1*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 2*x-2*y-1*z-1 + 4*x-2*y-2*z-1 + 2*x-2*y-3*z-1 + x-3*y-2*z-2 + 2*x-3*y-3*z-2 + x-3*y-4*z-2
40 rank 2, number 10 x*y2 + 2*x*y + x + 2*y + z + 2*y-1 + x-1 + 2*x-1*z-1 + 4*x-1*y-1 + 4*x-1*y-1*z-1 + x-1*y-2 + 2*x-1*y-2*z-1 + 2*x-2*y-1*z-1 + 5*x-2*y-2*z-1 + 2*x-2*y-3*z-1 + x-3*y-2*z-2 + 2*x-3*y-3*z-2 + x-3*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 3 irreducible and admissible
Image of facet 36 1 Lattice Minkowski decompositions of facet 36
Image of facet 81 1 Lattice Minkowski decompositions of facet 81
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