details/L11n449_1_1_0_846fede2.json

Multivariable Alexander polynomial

ΔL
2*A1^(1/2)*A2^(1/2)*A3^(3/2)*A4^(1/2) - 2*A1^(1/2)*A2^(1/2)*A3^(1/2)*A4^(1/2) + A1^(1/2)*A2^(1/2)*A3^(1/2)*A4^(-1/2) - 2*A1^(1/2)*A2^(1/2)*A3^(-1/2)*A4^(-1/2) + A1^(1/2)*A2^(1/2)*A3^(-3/2)*A4^(-1/2) - A1^(1/2)*A2^(-1/2)*A3^(3/2)*A4^(1/2) + A1^(1/2)*A2^(-1/2)*A3^(1/2)*A4^(1/2) + A1^(1/2)*A2^(-1/2)*A3^(-1/2)*A4^(-1/2) - A1^(1/2)*A2^(-1/2)*A3^(-3/2)*A4^(-1/2) - A1^(-1/2)*A2^(1/2)*A3^(3/2)*A4^(1/2) + A1^(-1/2)*A2^(1/2)*A3^(1/2)*A4^(1/2) + A1^(-1/2)*A2^(1/2)*A3^(-1/2)*A4^(-1/2) - A1^(-1/2)*A2^(1/2)*A3^(-3/2)*A4^(-1/2) + A1^(-1/2)*A2^(-1/2)*A3^(3/2)*A4^(1/2) - 2*A1^(-1/2)*A2^(-1/2)*A3^(1/2)*A4^(1/2) + A1^(-1/2)*A2^(-1/2)*A3^(-1/2)*A4^(1/2) - 2*A1^(-1/2)*A2^(-1/2)*A3^(-1/2)*A4^(-1/2) + 2*A1^(-1/2)*A2^(-1/2)*A3^(-3/2)*A4^(-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-0.500.5-0.500.5A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -1) no
(1, -1) no
(1, 1) no
(-1, 1) no
Dual Thurston slice-101-101h1h2

HFL polytope

Poincaré polynomial
2*m^(-10)*A1^(-1)*A2^(-1)*A3^(-2)*A4^(-1) + 2*m^(-9)*A1^(-1)*A2^(-1)*A3^(-2) + 4*m^(-9)*A1^(-1)*A2^(-1)*A3^(-1)*A4^(-1) + 3*m^(-9)*A1^(-1)*A3^(-2)*A4^(-1) + 3*m^(-9)*A2^(-1)*A3^(-2)*A4^(-1) + 5*m^(-8)*A1^(-1)*A2^(-1)*A3^(-1) + 2*m^(-8)*A1^(-1)*A2^(-1)*A4^(-1) + 3*m^(-8)*A1^(-1)*A3^(-2) + 6*m^(-8)*A1^(-1)*A3^(-1)*A4^(-1) + m^(-8)*A1^(-1)*A2*A3^(-2)*A4^(-1) + 3*m^(-8)*A2^(-1)*A3^(-2) + 6*m^(-8)*A2^(-1)*A3^(-1)*A4^(-1) + 5*m^(-8)*A3^(-2)*A4^(-1) + m^(-8)*A1*A2^(-1)*A3^(-2)*A4^(-1) + m^(-7)*A1^(-1)*A2^(-1)*A3^(-1)*A4 + 5*m^(-7)*A1^(-1)*A2^(-1) + 7*m^(-7)*A1^(-1)*A3^(-1) + 3*m^(-7)*A1^(-1)*A4^(-1) + m^(-7)*A1^(-1)*A2*A3^(-2) + 2*m^(-7)*A1^(-1)*A2*A3^(-1)*A4^(-1) + 7*m^(-7)*A2^(-1)*A3^(-1) + 3*m^(-7)*A2^(-1)*A4^(-1) + 5*m^(-7)*A3^(-2) + 11*m^(-7)*A3^(-1)*A4^(-1) + 2*m^(-7)*A2*A3^(-2)*A4^(-1) + m^(-7)*A1*A2^(-1)*A3^(-2) + 2*m^(-7)*A1*A2^(-1)*A3^(-1)*A4^(-1) + 2*m^(-7)*A1*A3^(-2)*A4^(-1) + 3*m^(-6)*A1^(-1)*A2^(-1)*A4 + 3*m^(-6)*A1^(-1)*A2^(-1)*A3 + m^(-6)*A1^(-1)*A3^(-1)*A4 + 7*m^(-6)*A1^(-1) + 2*m^(-6)*A1^(-1)*A2*A3^(-1) + m^(-6)*A1^(-1)*A2*A4^(-1) + m^(-6)*A2^(-1)*A3^(-1)*A4 + 7*m^(-6)*A2^(-1) + 12*m^(-6)*A3^(-1) + 7*m^(-6)*A4^(-1) + 2*m^(-6)*A2*A3^(-2) + 5*m^(-6)*A2*A3^(-1)*A4^(-1) + 2*m^(-6)*A1*A2^(-1)*A3^(-1) + m^(-6)*A1*A2^(-1)*A4^(-1) + 2*m^(-6)*A1*A3^(-2) + 5*m^(-6)*A1*A3^(-1)*A4^(-1) + m^(-6)*A1*A2*A3^(-2)*A4^(-1) + 3*m^(-5)*A1^(-1)*A2^(-1)*A3*A4 + m^(-5)*A1^(-1)*A2^(-1)*A3^2 + 4*m^(-5)*A1^(-1)*A4 + 5*m^(-5)*A1^(-1)*A3 + 2*m^(-5)*A1^(-1)*A2 + 4*m^(-5)*A2^(-1)*A4 + 5*m^(-5)*A2^(-1)*A3 + m^(-5)*A3^(-1)*A4 + 15*m^(-5) + m^(-5)*A3*A4^(-1) + 5*m^(-5)*A2*A3^(-1) + 4*m^(-5)*A2*A4^(-1) + 2*m^(-5)*A1*A2^(-1) + 5*m^(-5)*A1*A3^(-1) + 4*m^(-5)*A1*A4^(-1) + m^(-5)*A1*A2*A3^(-2) + 3*m^(-5)*A1*A2*A3^(-1)*A4^(-1) + m^(-4)*A1^(-1)*A2^(-1)*A3^2*A4 + 5*m^(-4)*A1^(-1)*A3*A4 + 2*m^(-4)*A1^(-1)*A3^2 + m^(-4)*A1^(-1)*A2*A4 + 2*m^(-4)*A1^(-1)*A2*A3 + 5*m^(-4)*A2^(-1)*A3*A4 + 2*m^(-4)*A2^(-1)*A3^2 + m^(-4) + 7*m^(-4)*A4 + 12*m^(-4)*A3 + 7*m^(-4)*A2 + m^(-4)*A2*A3*A4^(-1) + m^(-4)*A1*A2^(-1)*A4 + 2*m^(-4)*A1*A2^(-1)*A3 + 7*m^(-4)*A1 + m^(-4)*A1*A3*A4^(-1) + 3*m^(-4)*A1*A2*A3^(-1) + 3*m^(-4)*A1*A2*A4^(-1) + 2*m^(-3)*A1^(-1)*A3^2*A4 + 2*m^(-3)*A1^(-1)*A2*A3*A4 + m^(-3)*A1^(-1)*A2*A3^2 + 2*m^(-3)*A2^(-1)*A3^2*A4 + 11*m^(-3)*A3*A4 + 5*m^(-3)*A3^2 + 3*m^(-3)*A2*A4 + 7*m^(-3)*A2*A3 + 2*m^(-3)*A1*A2^(-1)*A3*A4 + m^(-3)*A1*A2^(-1)*A3^2 + 3*m^(-3)*A1*A4 + 7*m^(-3)*A1*A3 + 5*m^(-3)*A1*A2 + m^(-3)*A1*A2*A3*A4^(-1) + m^(-2)*A1^(-1)*A2*A3^2*A4 + 5*m^(-2)*A3^2*A4 + 6*m^(-2)*A2*A3*A4 + 3*m^(-2)*A2*A3^2 + m^(-2)*A1*A2^(-1)*A3^2*A4 + 6*m^(-2)*A1*A3*A4 + 3*m^(-2)*A1*A3^2 + 2*m^(-2)*A1*A2*A4 + 5*m^(-2)*A1*A2*A3 + 3*m^(-1)*A2*A3^2*A4 + 3*m^(-1)*A1*A3^2*A4 + 4*m^(-1)*A1*A2*A3*A4 + 2*m^(-1)*A1*A2*A3^2 + 2*A1*A2*A3^2*A4
VertexMaslovRank
(-1, -1, -2, -1)-102
(-1, -1, -2, 0)-92
(-1, -1, -1, 1)-71
(-1, -1, 0, -1)-82
(-1, -1, 2, 0)-51
(-1, -1, 2, 1)-41
(-1, 0, -1, 1)-61
(-1, 1, -2, -1)-81
(-1, 1, -2, 0)-71
(-1, 1, 0, -1)-61
(-1, 1, 0, 1)-41
(-1, 1, 2, 0)-31
(-1, 1, 2, 1)-21
(0, -1, -1, 1)-61
(0, 0, -1, 1)-51
(0, 0, 1, -1)-51
(0, 1, 1, -1)-41
(1, -1, -2, -1)-81
(1, -1, -2, 0)-71
(1, -1, 0, -1)-61
(1, -1, 0, 1)-41
(1, -1, 2, 0)-31
(1, -1, 2, 1)-21
(1, 0, 1, -1)-41
(1, 1, -2, -1)-61
(1, 1, -2, 0)-51
(1, 1, 0, 1)-22
(1, 1, 1, -1)-31
(1, 1, 2, 0)-12
(1, 1, 2, 1)02
HFL projection-101-101A1A2

Record

FL/HFL Links

orderOption(int) 4043
namestring L11n449{1;1;0}
statusstring success
slugstring L11n449_1_1_0_846fede2
result_filestring details/L11n449_1_1_0_846fede2.json
complexity_scoreOption(int) 484
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 4
girthOption(int) 6
total_rankOption(int) 386
wall_secondsOption(float) 0.004955
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 4
support_sizeOption(int) 107
vertex_countOption(int) 30
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 18
alexander_vertex_countOption(int) 16
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11n449_1_1_0_846fede2"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n449_1_1_0_846fede2