Polytope 3946
Image of polytope 3946 PALP id: 3946
grdb id: 283322
Integer points: [ 1 0 -1 0 -2 2 -3 2 -2 -1 0 1 -2 -1 0 1 -1 0 1 -1 0 1]
[ 0 1 1 0 1 -3 1 -4 0 -1 -2 -3 1 0 -1 -2 0 -1 -2 1 0 -1]
[ 0 0 0 1 -2 2 -2 3 -1 0 1 2 -1 0 1 2 -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
51 rank 2, number 7 x + y + 3*x*y-1*z + z + x2*y-3*z2 + 2*x*y-2*z2 + x2*y-4*z3 + x-1*y + 4*x*y-2*z + 6*y-1*z + 5*x*y-3*z2 + 2*x-1*y*z-1 + 6*y-1 + 6*x-1 + 10*y-2*z + 4*x-1*z-1 + 2*x-2*y*z-1 + 10*x-1*y-1 + x-2*y*z-2 + 5*x-2*z-1 + x-3*y*z-2
18 rank 1, V14 x + y + 2*x*y-1*z + z + x2*y-3*z2 + 2*x*y-2*z2 + x2*y-4*z3 + x-1*y + 4*x*y-2*z + 6*y-1*z + 5*x*y-3*z2 + 2*x-1*y*z-1 + 6*y-1 + 6*x-1 + 10*y-2*z + 4*x-1*z-1 + 2*x-2*y*z-1 + 10*x-1*y-1 + x-2*y*z-2 + 5*x-2*z-1 + x-3*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 0 1 irreducible and admissible
Image of facet 1 1 irreducible and admissible
Image of facet 157 1 Lattice Minkowski decompositions of facet 157
Image of facet 129 1 Lattice Minkowski decompositions of facet 129
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 13 1 irreducible and admissible
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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