Polytope 768
Image of polytope 768 PALP id: 768
grdb id: 546850
Integer points: [ 1 -1 0 0 0 0 0 0 0 0 0 0]
[ 0 0 1 1 -2 -1 0 -1 0 1 0 1]
[ 0 0 0 3 -3 -1 1 -2 0 2 -1 1]
Degree: 18
Hilbert function: 1 + 12 t + 50 t2 + 133 t3 + 279 t4 + 506 t5 + 832 t6 + 1275 t7 + 1853 t8 + 2584 t9 + 3486 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
45 rank 8, number 1 y*z3 + 3*y*z2 + 3*y*z + x + y + 3*z + 3*z-1 + x-1 + 3*y-1*z-1 + 3*y-1*z-2 + y-2*z-3
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 9 6 irreducible and admissible
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