Polytope 4296
Image of polytope 4296 PALP id: 4296
grdb id: 520331
Integer points: [ 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 1 1 1]
[ 0 2 0 -2 -2 2 -2 -2 -2 -1 -1 -1 -1 0 0 0 1 1 -1 -1 -1 -1 0 0 0 1 1 2 0 1 1]
[ 0 0 2 2 -2 -2 -1 0 1 -2 -1 0 1 -2 -1 0 -2 -1 -1 0 1 2 -1 0 1 -1 0 -1 1 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*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + 2*y2*z-1 + x + 6*y + 6*z + 2*y-1*z2 + 6*y*z-1 + 6*y-1*z + x-1*y2*z-2 + 6*z-1 + 4*x-1*y*z-1 + 6*y-1 + 6*x-1 + 4*x-1*y-1*z + x-1*y-2*z2 + 4*x-1*y*z-2 + 2*y-1*z-1 + 12*x-1*z-1 + 12*x-1*y-1 + 4*x-1*y-2*z + 6*x-1*z-2 + 12*x-1*y-1*z-1 + 6*x-1*y-2 + 4*x-1*y-1*z-2 + 4*x-1*y-2*z-1 + x-1*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 206 1 Lattice Minkowski decompositions of facet 206
Image of facet 127 3 Lattice Minkowski decompositions of facet 127
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