Polytope 1175
Image of polytope 1175 PALP id: 1175
grdb id: 539007
Integer points: [ 1 0 0 -2 1 -3 0 -1 -2 -1 1 0 -1]
[ 0 1 0 -2 2 -2 1 0 -1 -1 1 0 -1]
[ 0 0 1 -1 2 -2 1 0 -1 0 1 0 -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
135 ? x*y2*z2 + 2*x*y*z + 4*y*z + x + y + z + 6*x-1 + 2*x-1*y-1 + 2*x-1*y-1*z-1 + 4*x-2*y-1*z-1 + x-2*y-2*z-1 + x-3*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 5 irreducible and admissible
Image of facet 59 1 Lattice Minkowski decompositions of facet 59
Image of facet 13 1 irreducible and admissible
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