Polytope 2040
Image of polytope 2040 PALP id: 2040
grdb id: 491586
Integer points: [ 1 0 0 -2 -2 -3 1 0 -1 -1 -1 -2 1 0 -1]
[ 0 1 1 -1 -1 -2 2 1 0 0 0 -1 1 0 -1]
[ 0 0 2 -2 0 -2 2 1 1 0 -1 -1 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
3 rank 4, number 1 x*y2*z2 + 2*x*y*z + y*z2 + 2*y*z + x + y + 2*x-1*z + 2*x-1 + 2*x-1*z-1 + 2*x-1*y-1*z-1 + x-2*y-1 + 2*x-2*y-1*z-1 + x-2*y-1*z-2 + x-3*y-2*z-2
71 rank 7, number 1 x*y2*z2 + 2*x*y*z + y*z2 + 4*y*z + x + y + 2*x-1*z + 7*x-1 + 2*x-1*z-1 + 2*x-1*y-1*z-1 + x-2*y-1 + 4*x-2*y-1*z-1 + x-2*y-1*z-2 + x-3*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 144 1 Lattice Minkowski decompositions of facet 144
Image of facet 1 6 irreducible and admissible
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