Polytope 3338
Image of polytope 3338 PALP id: 3338
grdb id: 526791
Integer points: [ 1 1 -3 0 -4 1 1 0 -1 0 -1 -2 -1 -2 -3 1 1 0 -1]
[ 0 2 -2 0 -4 4 3 1 -1 2 0 -2 1 -1 -3 1 2 0 -1]
[ 0 0 0 1 1 -2 -1 0 1 -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*y4*z-2 + 2*x*y3*z-1 + x*y2 + 2*x*y2*z-1 + 2*x*y + 4*y2*z-1 + x + 5*y + z + 2*x-1*y*z-1 + 8*x-1 + 4*x-1*y-1*z + 2*x-1*y-1 + 5*x-2*y-1 + 6*x-2*y-2*z + x-3*y-2 + 4*x-3*y-3*z + x-4*y-4*z
40 rank 2, number 10 x*y4*z-2 + 2*x*y3*z-1 + x*y2 + 2*x*y2*z-1 + 2*x*y + 5*y2*z-1 + x + 6*y + z + 2*x-1*y*z-1 + 10*x-1 + 4*x-1*y-1*z + 2*x-1*y-1 + 6*x-2*y-1 + 6*x-2*y-2*z + x-3*y-2 + 4*x-3*y-3*z + x-4*y-4*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 1 2 irreducible and admissible
Image of facet 13 1 irreducible and admissible
Image of facet 223 1 Lattice Minkowski decompositions of facet 223
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