Polytope 1990
Image of polytope 1990 PALP id: 1990
grdb id: 534507
Integer points: [ 1 0 1 -3 -4 0 -1 0 -2 -1 -3 -2 1 0 -1]
[ 0 1 0 0 -1 -1 -1 0 -1 0 -1 0 0 0 0]
[ 0 0 2 -2 -2 2 1 1 0 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
71 rank 7, number 1 x*z2 + 2*x*z + x + y + 4*z + y-1*z2 + 7*x-1 + 4*x-1*y-1*z + 2*x-1*z-1 + 4*x-2*z-1 + 6*x-2*y-1 + x-3*z-2 + 4*x-3*y-1*z-1 + x-4*y-1*z-2
3 rank 4, number 1 x*z2 + 2*x*z + x + y + 2*z + y-1*z2 + 2*x-1 + 4*x-1*y-1*z + 2*x-1*z-1 + 2*x-2*z-1 + 6*x-2*y-1 + x-3*z-2 + 4*x-3*y-1*z-1 + x-4*y-1*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 1 4 irreducible and admissible
Image of facet 139 1 Lattice Minkowski decompositions of facet 139
Image of facet 13 1 irreducible and admissible
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