Polytope 3703
Image of polytope 3703 PALP id: 3703
grdb id: 597738
Integer points: [ 1 0 0 2 -2 0 -1 1 -3 -1 0 0 -1 -2 -2 1 1 0 -1 -1]
[ 0 1 0 -2 2 0 0 -2 2 0 -1 -1 0 1 1 -1 -1 0 1 1]
[ 0 0 1 -1 1 -1 1 -1 1 -1 -1 0 0 0 1 -1 0 0 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 + y + z + 2*x-1*y*z + x-2*y2*z + 2*x*y-1 + 2*x-1*y + x-1*z + 2*x-2*y*z + x-3*y2*z + x2*y-2*z-1 + 2*x*y-1*z-1 + z-1 + 2*y-1 + 4*x-1 + 2*x-2*y + x*y-2*z-1 + 2*y-1*z-1 + x-1*z-1
51 rank 2, number 7 x + y + z + 2*x-1*y*z + x-2*y2*z + 2*x*y-1 + 3*x-1*y + x-1*z + 2*x-2*y*z + x-3*y2*z + x2*y-2*z-1 + 2*x*y-1*z-1 + z-1 + 2*y-1 + 4*x-1 + 2*x-2*y + x*y-2*z-1 + 2*y-1*z-1 + x-1*z-1
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 15 3 Lattice Minkowski decompositions of facet 15
Image of facet 1 1 irreducible and admissible
Image of facet 11 2 Lattice Minkowski decompositions of facet 11
Image of facet 36 1 Lattice Minkowski decompositions of facet 36
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
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