Polytope 4283
Image of polytope 4283 PALP id: 4283
grdb id: 544447
Integer points: [ 1 1 -2 1 -2 -1 0 -2 -1 0 1 -2 -1 0 1 -1 0 -1 0 1 -1 0 1 -1 0 1 0 1 0 1]
[ 0 3 -3 0 0 1 2 -1 0 1 2 -2 -1 0 1 -2 -1 0 1 2 -1 0 1 -2 -1 0 0 1 -1 0]
[ 0 0 0 3 -3 -2 -1 -2 -1 0 1 -1 0 1 2 1 2 -2 -1 0 -1 0 1 0 1 2 -1 0 0 1]
Degree: 6
Hilbert function: 1 + 6 t + 20 t2 + 49 t3 + 99 t4 + 176 t5 + 286 t6 + 435 t7 + 629 t8 + 874 t9 + 1176 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
19 rank 1, V6 x*y3 + 3*x*y2*z + 3*x*y*z2 + x*z3 + 3*x*y2 + 6*x*y*z + 3*x*z2 + 3*x*y + 3*x*z + 3*y2*z-1 + x + 9*y + 9*z + 3*y-1*z2 + 6*y*z-1 + 6*y-1*z + 3*z-1 + 3*y-1 + 3*x-1*y*z-2 + 9*x-1*z-1 + 9*x-1*y-1 + 3*x-1*y-2*z + 3*x-1*z-2 + 6*x-1*y-1*z-1 + 3*x-1*y-2 + x-2*z-3 + 3*x-2*y-1*z-2 + 3*x-2*y-2*z-1 + x-2*y-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 243 1 Lattice Minkowski decompositions of facet 243
Image of facet 52 4 Lattice Minkowski decompositions of facet 52
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