Polytope 4235
Image of polytope 4235 PALP id: 4235
grdb id: 544536
Integer points: [ 1 1 1 -3 -7 -5 -3 -1 -6 -4 -2 0 -5 -3 -1 1 -4 -2 0 -1 -3 -1 1 -2 0 -1 1]
[ 0 2 0 0 -4 -3 -2 -1 -3 -2 -1 0 -2 -1 0 1 -1 0 1 1 -2 -1 0 -1 0 0 1]
[ 0 0 2 -2 -2 -1 0 1 -2 -1 0 1 -2 -1 0 1 -2 -1 0 -1 -1 0 1 -1 0 -1 0]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
11 rank 2, number 6 x*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + x + 4*y + 4*z + 2*x-1*y*z-1 + 10*x-1 + 4*x-1*y-1*z + 2*x-1*z-1 + 4*x-1*y-1 + 8*x-2*z-1 + 12*x-2*y-1 + 4*x-2*y-1*z-1 + x-3*z-2 + 14*x-3*y-1*z-1 + 6*x-3*y-2 + 2*x-3*y-2*z-1 + 4*x-4*y-1*z-2 + 12*x-4*y-2*z-1 + 6*x-5*y-2*z-2 + 4*x-5*y-3*z-1 + 4*x-6*y-3*z-2 + x-7*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 2 Lattice Minkowski decompositions of facet 16
Image of facet 32 2 Lattice Minkowski decompositions of facet 32
Image of facet 310 1 Lattice Minkowski decompositions of facet 310
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