Polytope 509
Image of polytope 509 PALP id: 509
grdb id: 542505
Integer points: [ 1 0 0 0 0 -1 0 0 0 0 0]
[ 0 1 1 -1 -1 0 -1 0 0 0 1]
[ 0 0 2 -2 0 0 -1 -1 0 1 1]
Degree: 24
Hilbert function: 1 + 15 t + 65 t2 + 175 t3 + 369 t4 + 671 t5 + 1105 t6 + 1695 t7 + 2465 t8 + 3439 t9 + 4641 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
71 rank 7, number 1 y*z2 + 2*y*z + x + y + 2*z + 2*z-1 + y-1 + x-1 + 2*y-1*z-1 + y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 8 irreducible and admissible
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