Polytope 4103
Image of polytope 4103 PALP id: 4103
grdb id: 436976
Integer points: [ 1 0 1 -3 1 0 -5 -1 -2 -3 -4 0 -1 -2 -3 1 0 -1 -1 -2 1 0 -1 1]
[ 0 1 0 1 -2 1 1 1 1 1 1 0 0 0 0 -1 -1 -1 1 1 0 0 0 -1]
[ 0 0 2 -3 2 1 -4 0 -1 -2 -3 1 0 -1 -2 2 1 0 -1 -2 1 0 -1 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
7 rank 1, V12 x*z2 + 2*x*z + y*z + 2*x*y-1*z2 + x + y + 2*x*y-1*z + 6*z + x*y-2*z2 + 5*x-1*y + 5*y-1*z + 3*x-1*y*z-1 + 12*x-1 + 3*x-1*z-1 + 10*x-2*y*z-1 + 3*x-1*y-1 + 3*x-2*y*z-2 + 10*x-2*z-1 + 10*x-3*y*z-2 + x-3*y*z-3 + 3*x-3*z-2 + 5*x-4*y*z-3 + x-5*y*z-4
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 146 1 Lattice Minkowski decompositions of facet 146
Image of facet 227 1 Lattice Minkowski decompositions of facet 227
Image of facet 25 1 Lattice Minkowski decompositions of facet 25
Image of facet 9 1 irreducible and admissible
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
previous:polytope 4102
next:polytope 4104