details/L11n379_0_1_3760eba6.json

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(5/2)*A3^(1/2) - A1^(1/2)*A2^(1/2)*A3^(1/2) + A1^(-1/2)*A2^(-1/2)*A3^(-1/2) - A1^(-1/2)*A2^(-5/2)*A3^(-1/2)

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.

Newton Projection of Alexander-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -5, -1) yes
(-1, -1, -1) yes
(1, 1, 1) yes
(1, 5, 1) yes
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HFL polytope

Poincaré polynomial
m^(-2)*A1^(-1)*A2^(-3)*A3^(-1) + m^(-1)*A1^(-1)*A2^(-3) + m^(-1)*A1^(-1)*A2^(-2)*A3^(-1) + m^(-1)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-1)*A2^(-3)*A3^(-1) + A1^(-1)*A2^(-2) + A1^(-1)*A2^(-1) + A1^(-1)*A3^(-1) + A2^(-3) + A2^(-2)*A3^(-1) + A2^(-1)*A3^(-1) + m*A1^(-1) + m*A2^(-2) + 2*m*A2^(-1) + m*A3^(-1) + m^2*A2^(-1) + 3*m^2 + m^3 + m^3*A3 + 2*m^3*A2 + m^3*A1 + m^4*A2 + m^4*A2*A3 + m^4*A1*A3 + m^4*A1*A2 + m^5*A2^2 + m^5*A1*A2*A3 + m^6*A2^2*A3 + m^6*A2^3 + m^6*A1*A2^2 + m^7*A2^3*A3 + m^7*A1*A2^2*A3 + m^7*A1*A2^3 + m^8*A1*A2^3*A3
VertexMaslovRank
(-1, -3, -1)-21
(-1, -3, 0)-11
(-1, 0, -1)01
(-1, 0, 0)11
(0, -3, -1)-11
(0, -3, 0)01
(0, 0, -1)11
(0, 0, 1)31
(0, 3, 0)61
(0, 3, 1)71
(1, 0, 0)31
(1, 0, 1)41
(1, 3, 0)71
(1, 3, 1)81
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Record

FL/HFL Links

orderOption(int) 3378
namestring L11n379{0;1}
statusstring success
slugstring L11n379_0_1_3760eba6
result_filestring details/L11n379_0_1_3760eba6.json
complexity_scoreOption(int) 363
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 38
wall_secondsOption(float) 0.002004
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 31
vertex_countOption(int) 14
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 4
alexander_vertex_countOption(int) 0
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks)
{
  "dataset": "FLHFLLinks",
  "key": "L11n379_0_1_3760eba6"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n379_0_1_3760eba6