Polytope 3700
Image of polytope 3700 PALP id: 3700
grdb id: 597556
Integer points: [ 1 0 0 -1 -1 2 -2 1 -1 -2 -2 -1 0 -1 0 1 -1 0 0 1]
[ 0 1 0 1 1 -1 1 -1 -1 -1 0 0 0 0 0 0 -1 -1 -1 -1]
[ 0 0 1 1 0 -2 1 -2 1 1 1 0 -1 1 0 -1 0 -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 + y + z + x-1*y*z + 2*x*z-1 + x-1*y + 2*x-1*z + x-2*y*z + x2*y-1*z-2 + 3*x*y-1*z-1 + 2*z-1 + 3*y-1 + 4*x-1 + x-1*y-1*z + 2*x-2*z + x*y-1*z-2 + 3*y-1*z-1 + 3*x-1*y-1 + x-2*y-1*z
51 rank 2, number 7 x + y + z + x-1*y*z + 2*x*z-1 + x-1*y + 3*x-1*z + x-2*y*z + x2*y-1*z-2 + 3*x*y-1*z-1 + 2*z-1 + 3*y-1 + 4*x-1 + x-1*y-1*z + 2*x-2*z + x*y-1*z-2 + 3*y-1*z-1 + 3*x-1*y-1 + x-2*y-1*z
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 1 irreducible and admissible
Image of facet 3 2 Lattice Minkowski decompositions of facet 3
Image of facet 20 1 Lattice Minkowski decompositions of facet 20
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 23 1 Lattice Minkowski decompositions of facet 23
Image of facet 60 1 Lattice Minkowski decompositions of facet 60
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
previous:polytope 3699
next:polytope 3701