Polytope 4317
Image of polytope 4317 PALP id: 4317
grdb id: 547387
Integer points: [ 1 1 1 -5 -4 -3 -2 -1 0 -4 -3 -2 -1 0 1 -3 -2 -1 0 1 -2 -1 0 1 -1 0 1 0 1 -2 -1 0 1 -1 0 1 0 1 1]
[ 0 2 2 -4 -3 -2 -1 0 1 -3 -2 -1 0 1 2 -2 -1 0 1 2 -1 0 1 2 0 1 2 1 2 -2 -1 0 1 -1 0 1 0 1 1]
[ 0 0 6 -6 -4 -2 0 2 4 -5 -3 -1 1 3 5 -4 -2 0 2 4 -3 -1 1 3 -2 0 2 -1 1 -3 -1 1 3 -2 0 2 -1 1 0]
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*y2*z6 + 6*x*y2*z5 + 15*x*y2*z4 + 20*x*y2*z3 + 15*x*y2*z2 + 2*x*y*z3 + 6*y*z4 + 6*x*y2*z + 6*x*y*z2 + 30*y*z3 + x*y2 + 6*x*y*z + 60*y*z2 + 2*x*y + 60*y*z + x + 30*y + 6*z + 15*x-1*z2 + 6*y*z-1 + 60*x-1*z + 6*z-1 + 90*x-1 + 60*x-1*z-1 + 15*x-1*z-2 + 6*x-1*y-1*z-1 + 20*x-2*y-1 + 6*x-1*y-1*z-2 + 60*x-2*y-1*z-1 + 60*x-2*y-1*z-2 + 20*x-2*y-1*z-3 + 2*x-2*y-2*z-3 + 15*x-3*y-2*z-2 + 30*x-3*y-2*z-3 + 15*x-3*y-2*z-4 + 6*x-4*y-3*z-4 + 6*x-4*y-3*z-5 + x-5*y-4*z-6
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 341 1 Lattice Minkowski decompositions of facet 341
Image of facet 119 3 Lattice Minkowski decompositions of facet 119
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