Polytope 4240
Image of polytope 4240 PALP id: 4240
grdb id: 520890
Integer points: [ 1 1 1 -3 -5 -1 0 -2 -1 0 1 -3 -2 -1 0 -4 -3 -2 -1 -4 0 1 -1 0 1 -2 -1]
[ 0 2 0 0 -2 -2 -1 -2 -1 0 1 -2 -1 0 1 -2 -1 0 1 -1 -1 0 -1 0 1 -1 0]
[ 0 0 2 -2 -2 2 2 1 1 1 1 0 0 0 0 -1 -1 -1 -1 -2 1 1 0 0 0 -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
22 rank 3, number 1 x*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + x + 6*y + 8*z + 2*y-1*z2 + 2*y-1*z + 2*x-1*y*z-1 + 15*x-1 + 10*x-1*y-1*z + x-1*y-2*z2 + 2*x-1*z-1 + 4*x-1*y-1 + 8*x-2*z-1 + 16*x-2*y-1 + 4*x-2*y-2*z + 2*x-2*y-1*z-1 + x-3*z-2 + 10*x-3*y-1*z-1 + 6*x-3*y-2 + 2*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + x-5*y-2*z-2
11 rank 2, number 6 x*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + x + 4*y + 6*z + 2*y-1*z2 + 2*y-1*z + 2*x-1*y*z-1 + 10*x-1 + 8*x-1*y-1*z + x-1*y-2*z2 + 2*x-1*z-1 + 4*x-1*y-1 + 6*x-2*z-1 + 12*x-2*y-1 + 4*x-2*y-2*z + 2*x-2*y-1*z-1 + x-3*z-2 + 8*x-3*y-1*z-1 + 6*x-3*y-2 + 2*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + x-5*y-2*z-2
7 rank 1, V12 x*y2 + 2*x*y*z + x*z2 + 2*x*y + 2*x*z + x + 5*y + 7*z + 2*y-1*z2 + 2*y-1*z + 2*x-1*y*z-1 + 12*x-1 + 9*x-1*y-1*z + x-1*y-2*z2 + 2*x-1*z-1 + 4*x-1*y-1 + 7*x-2*z-1 + 14*x-2*y-1 + 4*x-2*y-2*z + 2*x-2*y-1*z-1 + x-3*z-2 + 9*x-3*y-1*z-1 + 6*x-3*y-2 + 2*x-4*y-1*z-2 + 4*x-4*y-2*z-1 + x-5*y-2*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 16 4 Lattice Minkowski decompositions of facet 16
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 313 1 Lattice Minkowski decompositions of facet 313
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