Polytope 4208
Image of polytope 4208 PALP id: 4208
grdb id: 433608
Integer points: [ 1 0 1 1 -3 -5 1 0 -1 -2 -3 -4 1 0 -1 -2 -3 1 0 -1 0 -1 -2 1 0 -1]
[ 0 1 -1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0]
[ 0 0 0 2 -2 -3 3 2 1 0 -1 -2 2 1 0 -1 -2 1 0 -1 1 0 -1 1 0 -1]
Degree: 14
Hilbert function: 1 + 10 t + 40 t2 + 105 t3 + 219 t4 + 396 t5 + 650 t6 + 995 t7 + 1445 t8 + 2014 t9 + 2716 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
18 rank 1, V14 x*z2 + x*y-1*z3 + 2*x*z + 3*x*y-1*z2 + x + y + 3*x*y-1*z + 4*z + 6*y-1*z2 + x*y-1 + 12*y-1*z + 6*y-1 + 6*x-1 + 15*x-1*y-1*z + 2*x-1*z-1 + 18*x-1*y-1 + 3*x-1*y-1*z-1 + 4*x-2*z-1 + 20*x-2*y-1 + 12*x-2*y-1*z-1 + x-3*z-2 + 15*x-3*y-1*z-1 + 3*x-3*y-1*z-2 + 6*x-4*y-1*z-2 + x-5*y-1*z-3
51 rank 2, number 7 x*z2 + x*y-1*z3 + 2*x*z + 3*x*y-1*z2 + x + y + 3*x*y-1*z + 5*z + 6*y-1*z2 + x*y-1 + 12*y-1*z + 6*y-1 + 8*x-1 + 15*x-1*y-1*z + 2*x-1*z-1 + 18*x-1*y-1 + 3*x-1*y-1*z-1 + 5*x-2*z-1 + 20*x-2*y-1 + 12*x-2*y-1*z-1 + x-3*z-2 + 15*x-3*y-1*z-1 + 3*x-3*y-1*z-2 + 6*x-4*y-1*z-2 + x-5*y-1*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 2 irreducible and admissible
Image of facet 183 1 Lattice Minkowski decompositions of facet 183
Image of facet 44 2 Lattice Minkowski decompositions of facet 44
Image of facet 241 1 Lattice Minkowski decompositions of facet 241
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