Polytope 3730
Image of polytope 3730 PALP id: 3730
grdb id: 544886
Integer points: [ 1 0 0 0 -3 -2 -1 -2 -1 0 -1 0 -2 -1 0 -1 0 0 -1 0 0]
[ 0 1 1 -2 -2 -2 -2 -1 -1 -1 0 0 -1 -1 -1 0 0 1 0 0 1]
[ 0 0 3 -3 0 -1 -2 1 0 -1 2 1 0 -1 -2 1 0 2 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 y*z3 + 3*y*z2 + 3*y*z + x + y + 2*z + 3*x-1*z2 + 6*x-1*z + 3*z-1 + 3*x-1 + 2*y-1*z-1 + 5*x-1*y-1 + 3*x-2*y-1*z + 3*y-1*z-2 + 6*x-1*y-1*z-1 + 3*x-2*y-1 + y-2*z-3 + 3*x-1*y-2*z-2 + 3*x-2*y-2*z-1 + x-3*y-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 9 2 irreducible and admissible
Image of facet 132 1 Lattice Minkowski decompositions of facet 132
Image of facet 52 2 Lattice Minkowski decompositions of facet 52
previous:polytope 3729
next:polytope 3731