Polytope 3761
Image of polytope 3761 PALP id: 3761
grdb id: 446913
Integer points: [ 1 0 0 -3 3 -3 3 -1 1 -2 0 2 -1 1 -1 1 -2 0 2 -1 1]
[ 0 1 0 1 -2 0 -3 -1 -2 0 -1 -2 0 -1 0 -1 1 0 -1 1 0]
[ 0 0 1 -3 3 -2 4 0 2 -1 1 3 0 2 -1 1 -2 0 2 -1 1]
Degree: 12
Hilbert function: 1 + 9 t + 35 t2 + 91 t3 + 189 t4 + 341 t5 + 559 t6 + 855 t7 + 1241 t8 + 1729 t9 + 2331 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
7 rank 1, V12 x3*y-2*z3 + x3*y-3*z4 + 3*x2*y-1*z2 + 3*x2*y-2*z3 + 3*x*z + 3*x*y-1*z2 + x + y + 2*x*y-1*z + z + 3*x*y-2*z2 + 6*y-1*z + 3*x-1*y*z-1 + 3*x-1 + 2*x-1*z-1 + 3*x-1*y-1 + 3*x-2*y*z-2 + 3*x-2*z-1 + x-3*y*z-3 + x-3*z-2
34 rank 2, number 5 x3*y-2*z3 + x3*y-3*z4 + 3*x2*y-1*z2 + 3*x2*y-2*z3 + 3*x*z + 3*x*y-1*z2 + x + y + 4*x*y-1*z + z + 3*x*y-2*z2 + 6*y-1*z + 3*x-1*y*z-1 + 3*x-1 + 3*x-1*z-1 + 3*x-1*y-1 + 3*x-2*y*z-2 + 3*x-2*z-1 + x-3*y*z-3 + x-3*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 9 2 irreducible and admissible
Image of facet 52 1 Lattice Minkowski decompositions of facet 52
Image of facet 70 1 Lattice Minkowski decompositions of facet 70
Image of facet 60 2 Lattice Minkowski decompositions of facet 60
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