Polytope 4183
Image of polytope 4183 PALP id: 4183
grdb id: 72680
Integer points: [ 1 0 1 0 0 -2 1 1 -4 0 -1 -2 -3 0 -1 -2 -3 -1 1 0 -1 -2 1 0 -1]
[ 0 1 -1 0 0 2 -2 -3 2 -2 -1 0 1 -1 0 1 2 1 -2 -1 0 1 -1 0 1]
[ 0 0 0 1 -1 1 -2 -2 3 -1 0 1 2 -1 0 1 2 0 -1 0 1 2 -1 0 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 + y + z + 3*x-1*y*z + x-2*y2*z + 2*x-2*y*z2 + 2*x-3*y2*z2 + x-4*y2*z3 + x*y-1 + 2*x-1*y + 6*x-1*z + 7*x-2*y*z + 5*x-3*y*z2 + 2*x*y-1*z-1 + z-1 + 6*y-1 + 9*x-1 + 10*x-2*z + 2*x*y-2*z-1 + 5*y-1*z-1 + 10*x-1*y-1 + x*y-2*z-2 + 5*y-2*z-1 + x*y-3*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 129 1 Lattice Minkowski decompositions of facet 129
Image of facet 201 1 Lattice Minkowski decompositions of facet 201
Image of facet 11 1 Lattice Minkowski decompositions of facet 11
Image of facet 30 1 Lattice Minkowski decompositions of facet 30
Image of facet 15 1 Lattice Minkowski decompositions of facet 15
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