Polytope 4263
Image of polytope 4263 PALP id: 4263
grdb id: 431653
Integer points: [ 1 0 0 -1 -1 -3 -3 -3 -3 -3 -3 -3 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 0 2 -2 -4 2 -3 -2 -1 0 1 -3 -2 -1 0 1 2 -1 0 1 -2 -1 0 1 -1 0 1]
[ 0 0 1 -2 2 2 -4 1 0 -1 -2 -3 2 1 0 -1 -2 -3 1 0 -1 1 0 -1 -2 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 + 6*x-1*y*z-1 + 10*x-1 + 6*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 + 2*x-2*y2*z-3 + 11*x-2*y*z-2 + 23*x-2*z-1 + 23*x-2*y-1 + 11*x-2*y-2*z + 2*x-2*y-3*z2 + x-3*y2*z-4 + 6*x-3*y*z-3 + 15*x-3*z-2 + 20*x-3*y-1*z-1 + 15*x-3*y-2 + 6*x-3*y-3*z + x-3*y-4*z2
20 rank 1, V16 x + y + z + 2*y*z-1 + 2*y-1*z + x-1*y2*z-2 + 5*x-1*y*z-1 + 8*x-1 + 5*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 + 2*x-2*y2*z-3 + 10*x-2*y*z-2 + 20*x-2*z-1 + 20*x-2*y-1 + 10*x-2*y-2*z + 2*x-2*y-3*z2 + x-3*y2*z-4 + 6*x-3*y*z-3 + 15*x-3*z-2 + 20*x-3*y-1*z-1 + 15*x-3*y-2 + 6*x-3*y-3*z + x-3*y-4*z2
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 119 1 Lattice Minkowski decompositions of facet 119
Image of facet 320 1 Lattice Minkowski decompositions of facet 320
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
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