Polytope 3735
Image of polytope 3735 PALP id: 3735
grdb id: 544855
Integer points: [ 1 0 0 0 -3 -1 0 -2 -1 0 -2 -1 0 -1 0 -2 -1 0 0 -1 0]
[ 0 1 1 -2 1 -1 -1 0 0 0 1 1 -1 0 0 1 1 1 0 1 1]
[ 0 0 3 -3 0 -2 -1 -1 0 1 1 2 -2 -1 0 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
34 rank 2, number 5 y*z3 + 3*y*z2 + 3*y*z + 3*x-1*y*z2 + x + y + 3*z + 6*x-1*y*z + 3*x-1*y + 3*x-2*y*z + 3*z-1 + 6*x-1 + 3*x-2*y + 3*y-1*z-1 + 6*x-1*z-1 + x-3*y + 3*y-1*z-2 + 3*x-2*z-1 + 3*x-1*y-1*z-2 + y-2*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 9 3 irreducible and admissible
Image of facet 52 3 Lattice Minkowski decompositions of facet 52
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