Polytope 3742
Image of polytope 3742 PALP id: 3742
grdb id: 524219
Integer points: [ 1 0 0 -3 -1 -5 -2 -3 -4 -1 -2 -3 -4 0 -1 -2 0 -1 -2 0 -1]
[ 0 1 1 -2 0 -4 -1 -2 -3 0 -1 -2 -3 1 0 -1 0 -1 -2 0 -1]
[ 0 0 2 -2 2 -2 1 0 -1 1 0 -1 -2 1 0 -1 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
36 rank 3, number 7 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 6*x-1*z + 5*x-1 + 4*x-1*y-1 + 4*x-2*y-1*z + 2*x-1*y-1*z-1 + 10*x-2*y-1 + 3*x-2*y-1*z-1 + 2*x-2*y-2*z-1 + 6*x-3*y-2 + 7*x-3*y-2*z-1 + x-3*y-2*z-2 + 4*x-4*y-3*z-1 + 2*x-4*y-3*z-2 + x-5*y-4*z-2
60 rank 2, number 18 y*z2 + 2*y*z + x + y + 2*z + x-1*z2 + 4*x-1*z + 3*x-1 + 4*x-1*y-1 + 4*x-2*y-1*z + 2*x-1*y-1*z-1 + 7*x-2*y-1 + 2*x-2*y-1*z-1 + 2*x-2*y-2*z-1 + 6*x-3*y-2 + 6*x-3*y-2*z-1 + x-3*y-2*z-2 + 4*x-4*y-3*z-1 + 2*x-4*y-3*z-2 + x-5*y-4*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 1 Lattice Minkowski decompositions of facet 16
Image of facet 1 3 irreducible and admissible
Image of facet 245 1 Lattice Minkowski decompositions of facet 245
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
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