Polytope 4299
Image of polytope 4299 PALP id: 4299
grdb id: 520330
Integer points: [ 1 0 0 0 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 0 0 0 -1 -1 -1 -1 -1 0 0 0]
[ 0 1 1 -3 -5 3 2 1 0 -1 -2 -3 -4 2 1 0 -1 -2 -3 -4 0 -1 -2 2 1 0 -1 -2 1 0 -1]
[ 0 0 2 -2 -4 4 3 2 1 0 -1 -2 -3 3 2 1 0 -1 -2 -3 1 0 -1 2 1 0 -1 -2 1 0 -1]
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-2*y3*z4 + 2*x-1*y2*z3 + y*z2 + 2*x-1*y2*z2 + 8*x-2*y2*z3 + 2*y*z + 12*x-1*y*z2 + x + y + 4*z + 8*x-1*y*z + 28*x-2*y*z2 + 30*x-1*z + 6*y-1 + 12*x-1 + 56*x-2*z + 2*y-1*z-1 + 40*x-1*y-1 + 4*y-2*z-1 + 8*x-1*y-1*z-1 + 70*x-2*y-1 + 30*x-1*y-2*z-1 + y-3*z-2 + 2*x-1*y-2*z-2 + 56*x-2*y-2*z-1 + 12*x-1*y-3*z-2 + 28*x-2*y-3*z-2 + 2*x-1*y-4*z-3 + 8*x-2*y-4*z-3 + x-2*y-5*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 208 1 Lattice Minkowski decompositions of facet 208
Image of facet 328 1 Lattice Minkowski decompositions of facet 328
Image of facet 13 1 irreducible and admissible
Image of facet 22 2 Lattice Minkowski decompositions of facet 22
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