details/L11a545_1_1_1_5a16a936.json

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2*A3*A4^(1/2) + 2*A1^(1/2)*A2*A3*A4^(-1/2) + 2*A1^(1/2)*A2*A4^(1/2) - 2*A1^(1/2)*A2*A4^(-1/2) + 2*A1^(1/2)*A3*A4^(1/2) - 3*A1^(1/2)*A3*A4^(-1/2) - 5*A1^(1/2)*A4^(1/2) + 5*A1^(1/2)*A4^(-1/2) + 2*A1^(1/2)*A3^(-1)*A4^(1/2) - 2*A1^(1/2)*A3^(-1)*A4^(-1/2) - A1^(1/2)*A2^(-1)*A3*A4^(1/2) + A1^(1/2)*A2^(-1)*A3*A4^(-1/2) + 3*A1^(1/2)*A2^(-1)*A4^(1/2) - 2*A1^(1/2)*A2^(-1)*A4^(-1/2) - 2*A1^(1/2)*A2^(-1)*A3^(-1)*A4^(1/2) + A1^(1/2)*A2^(-1)*A3^(-1)*A4^(-1/2) + A1^(-1/2)*A2*A3*A4^(1/2) - 2*A1^(-1/2)*A2*A3*A4^(-1/2) - 2*A1^(-1/2)*A2*A4^(1/2) + 3*A1^(-1/2)*A2*A4^(-1/2) + A1^(-1/2)*A2*A3^(-1)*A4^(1/2) - A1^(-1/2)*A2*A3^(-1)*A4^(-1/2) - 2*A1^(-1/2)*A3*A4^(1/2) + 2*A1^(-1/2)*A3*A4^(-1/2) + 5*A1^(-1/2)*A4^(1/2) - 5*A1^(-1/2)*A4^(-1/2) - 3*A1^(-1/2)*A3^(-1)*A4^(1/2) + 2*A1^(-1/2)*A3^(-1)*A4^(-1/2) - 2*A1^(-1/2)*A2^(-1)*A4^(1/2) + 2*A1^(-1/2)*A2^(-1)*A4^(-1/2) + 2*A1^(-1/2)*A2^(-1)*A3^(-1)*A4^(1/2) - A1^(-1/2)*A2^(-1)*A3^(-1)*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-0.500.5-101A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -2) no
(1, -2) no
(1, 2) no
(-1, 2) no
Dual Thurston slice-101-202h1h2

HFL polytope

Poincaré polynomial
m^(-5)*A1^(-1)*A2^(-3/2)*A3^(-3/2)*A4^(-1) + 3*m^(-4)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 3*m^(-4)*A1^(-1)*A2^(-3/2)*A3^(-1/2)*A4^(-1) + 3*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(-3/2)*A4^(-1) + 2*m^(-4)*A2^(-3/2)*A3^(-3/2)*A4^(-1) + 2*m^(-3)*A1^(-1)*A2^(-3/2)*A3^(-3/2)*A4 + 7*m^(-3)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 2*m^(-3)*A1^(-1)*A2^(-3/2)*A3^(1/2)*A4^(-1) + 8*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 10*m^(-3)*A1^(-1)*A2^(-1/2)*A3^(-1/2)*A4^(-1) + 3*m^(-3)*A1^(-1)*A2^(1/2)*A3^(-3/2)*A4^(-1) + 6*m^(-3)*A2^(-3/2)*A3^(-3/2) + 6*m^(-3)*A2^(-3/2)*A3^(-1/2)*A4^(-1) + 6*m^(-3)*A2^(-1/2)*A3^(-3/2)*A4^(-1) + m^(-3)*A1*A2^(-3/2)*A3^(-3/2)*A4^(-1) + 4*m^(-2)*A1^(-1)*A2^(-3/2)*A3^(-1/2)*A4 + 4*m^(-2)*A1^(-1)*A2^(-3/2)*A3^(1/2) + 5*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(-3/2)*A4 + 22*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 9*m^(-2)*A1^(-1)*A2^(-1/2)*A3^(1/2)*A4^(-1) + 7*m^(-2)*A1^(-1)*A2^(1/2)*A3^(-3/2) + 11*m^(-2)*A1^(-1)*A2^(1/2)*A3^(-1/2)*A4^(-1) + m^(-2)*A1^(-1)*A2^(3/2)*A3^(-3/2)*A4^(-1) + 4*m^(-2)*A2^(-3/2)*A3^(-3/2)*A4 + 15*m^(-2)*A2^(-3/2)*A3^(-1/2) + 5*m^(-2)*A2^(-3/2)*A3^(1/2)*A4^(-1) + 15*m^(-2)*A2^(-1/2)*A3^(-3/2) + 20*m^(-2)*A2^(-1/2)*A3^(-1/2)*A4^(-1) + 5*m^(-2)*A2^(1/2)*A3^(-3/2)*A4^(-1) + 3*m^(-2)*A1*A2^(-3/2)*A3^(-3/2) + 3*m^(-2)*A1*A2^(-3/2)*A3^(-1/2)*A4^(-1) + 3*m^(-2)*A1*A2^(-1/2)*A3^(-3/2)*A4^(-1) + 2*m^(-1)*A1^(-1)*A2^(-3/2)*A3^(1/2)*A4 + 12*m^(-1)*A1^(-1)*A2^(-1/2)*A3^(-1/2)*A4 + 18*m^(-1)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 2*m^(-1)*A1^(-1)*A2^(-1/2)*A3^(3/2)*A4^(-1) + 4*m^(-1)*A1^(-1)*A2^(1/2)*A3^(-3/2)*A4 + 22*m^(-1)*A1^(-1)*A2^(1/2)*A3^(-1/2) + 12*m^(-1)*A1^(-1)*A2^(1/2)*A3^(1/2)*A4^(-1) + 2*m^(-1)*A1^(-1)*A2^(3/2)*A3^(-3/2) + 4*m^(-1)*A1^(-1)*A2^(3/2)*A3^(-1/2)*A4^(-1) + 9*m^(-1)*A2^(-3/2)*A3^(-1/2)*A4 + 11*m^(-1)*A2^(-3/2)*A3^(1/2) + m^(-1)*A2^(-3/2)*A3^(3/2)*A4^(-1) + 9*m^(-1)*A2^(-1/2)*A3^(-3/2)*A4 + 44*m^(-1)*A2^(-1/2)*A3^(-1/2) + 20*m^(-1)*A2^(-1/2)*A3^(1/2)*A4^(-1) + 11*m^(-1)*A2^(1/2)*A3^(-3/2) + 20*m^(-1)*A2^(1/2)*A3^(-1/2)*A4^(-1) + m^(-1)*A2^(3/2)*A3^(-3/2)*A4^(-1) + 2*m^(-1)*A1*A2^(-3/2)*A3^(-3/2)*A4 + 8*m^(-1)*A1*A2^(-3/2)*A3^(-1/2) + 3*m^(-1)*A1*A2^(-3/2)*A3^(1/2)*A4^(-1) + 7*m^(-1)*A1*A2^(-1/2)*A3^(-3/2) + 10*m^(-1)*A1*A2^(-1/2)*A3^(-1/2)*A4^(-1) + 2*m^(-1)*A1*A2^(1/2)*A3^(-3/2)*A4^(-1) + 9*A1^(-1)*A2^(-1/2)*A3^(1/2)*A4 + 4*A1^(-1)*A2^(-1/2)*A3^(3/2) + 11*A1^(-1)*A2^(1/2)*A3^(-1/2)*A4 + 22*A1^(-1)*A2^(1/2)*A3^(1/2) + 4*A1^(-1)*A2^(1/2)*A3^(3/2)*A4^(-1) + A1^(-1)*A2^(3/2)*A3^(-3/2)*A4 + 7*A1^(-1)*A2^(3/2)*A3^(-1/2) + 5*A1^(-1)*A2^(3/2)*A3^(1/2)*A4^(-1) + 6*A2^(-3/2)*A3^(1/2)*A4 + 2*A2^(-3/2)*A3^(3/2) + 24*A2^(-1/2)*A3^(-1/2)*A4 + 40*A2^(-1/2)*A3^(1/2) + 6*A2^(-1/2)*A3^(3/2)*A4^(-1) + 6*A2^(1/2)*A3^(-3/2)*A4 + 40*A2^(1/2)*A3^(-1/2) + 24*A2^(1/2)*A3^(1/2)*A4^(-1) + 2*A2^(3/2)*A3^(-3/2) + 6*A2^(3/2)*A3^(-1/2)*A4^(-1) + 5*A1*A2^(-3/2)*A3^(-1/2)*A4 + 7*A1*A2^(-3/2)*A3^(1/2) + A1*A2^(-3/2)*A3^(3/2)*A4^(-1) + 4*A1*A2^(-1/2)*A3^(-3/2)*A4 + 22*A1*A2^(-1/2)*A3^(-1/2) + 11*A1*A2^(-1/2)*A3^(1/2)*A4^(-1) + 4*A1*A2^(1/2)*A3^(-3/2) + 9*A1*A2^(1/2)*A3^(-1/2)*A4^(-1) + 2*m*A1^(-1)*A2^(-1/2)*A3^(3/2)*A4 + 10*m*A1^(-1)*A2^(1/2)*A3^(1/2)*A4 + 7*m*A1^(-1)*A2^(1/2)*A3^(3/2) + 3*m*A1^(-1)*A2^(3/2)*A3^(-1/2)*A4 + 8*m*A1^(-1)*A2^(3/2)*A3^(1/2) + 2*m*A1^(-1)*A2^(3/2)*A3^(3/2)*A4^(-1) + m*A2^(-3/2)*A3^(3/2)*A4 + 20*m*A2^(-1/2)*A3^(1/2)*A4 + 11*m*A2^(-1/2)*A3^(3/2) + 20*m*A2^(1/2)*A3^(-1/2)*A4 + 44*m*A2^(1/2)*A3^(1/2) + 9*m*A2^(1/2)*A3^(3/2)*A4^(-1) + m*A2^(3/2)*A3^(-3/2)*A4 + 11*m*A2^(3/2)*A3^(-1/2) + 9*m*A2^(3/2)*A3^(1/2)*A4^(-1) + 4*m*A1*A2^(-3/2)*A3^(1/2)*A4 + 2*m*A1*A2^(-3/2)*A3^(3/2) + 12*m*A1*A2^(-1/2)*A3^(-1/2)*A4 + 22*m*A1*A2^(-1/2)*A3^(1/2) + 4*m*A1*A2^(-1/2)*A3^(3/2)*A4^(-1) + 2*m*A1*A2^(1/2)*A3^(-3/2)*A4 + 18*m*A1*A2^(1/2)*A3^(-1/2) + 12*m*A1*A2^(1/2)*A3^(1/2)*A4^(-1) + 2*m*A1*A2^(3/2)*A3^(-1/2)*A4^(-1) + 3*m^2*A1^(-1)*A2^(1/2)*A3^(3/2)*A4 + 3*m^2*A1^(-1)*A2^(3/2)*A3^(1/2)*A4 + 3*m^2*A1^(-1)*A2^(3/2)*A3^(3/2) + 5*m^2*A2^(-1/2)*A3^(3/2)*A4 + 20*m^2*A2^(1/2)*A3^(1/2)*A4 + 15*m^2*A2^(1/2)*A3^(3/2) + 5*m^2*A2^(3/2)*A3^(-1/2)*A4 + 15*m^2*A2^(3/2)*A3^(1/2) + 4*m^2*A2^(3/2)*A3^(3/2)*A4^(-1) + m^2*A1*A2^(-3/2)*A3^(3/2)*A4 + 11*m^2*A1*A2^(-1/2)*A3^(1/2)*A4 + 7*m^2*A1*A2^(-1/2)*A3^(3/2) + 9*m^2*A1*A2^(1/2)*A3^(-1/2)*A4 + 22*m^2*A1*A2^(1/2)*A3^(1/2) + 5*m^2*A1*A2^(1/2)*A3^(3/2)*A4^(-1) + 4*m^2*A1*A2^(3/2)*A3^(-1/2) + 4*m^2*A1*A2^(3/2)*A3^(1/2)*A4^(-1) + m^3*A1^(-1)*A2^(3/2)*A3^(3/2)*A4 + 6*m^3*A2^(1/2)*A3^(3/2)*A4 + 6*m^3*A2^(3/2)*A3^(1/2)*A4 + 6*m^3*A2^(3/2)*A3^(3/2) + 3*m^3*A1*A2^(-1/2)*A3^(3/2)*A4 + 10*m^3*A1*A2^(1/2)*A3^(1/2)*A4 + 8*m^3*A1*A2^(1/2)*A3^(3/2) + 2*m^3*A1*A2^(3/2)*A3^(-1/2)*A4 + 7*m^3*A1*A2^(3/2)*A3^(1/2) + 2*m^3*A1*A2^(3/2)*A3^(3/2)*A4^(-1) + 2*m^4*A2^(3/2)*A3^(3/2)*A4 + 3*m^4*A1*A2^(1/2)*A3^(3/2)*A4 + 3*m^4*A1*A2^(3/2)*A3^(1/2)*A4 + 3*m^4*A1*A2^(3/2)*A3^(3/2) + m^5*A1*A2^(3/2)*A3^(3/2)*A4
VertexMaslovRank
(-1, -3/2, -3/2, -1)-51
(-1, -3/2, -3/2, 1)-32
(-1, -3/2, 1/2, -1)-32
(-1, -3/2, 1/2, 1)-12
(-1, -1/2, 3/2, -1)-12
(-1, -1/2, 3/2, 1)12
(-1, 3/2, -3/2, -1)-21
(-1, 3/2, -3/2, 1)01
(-1, 3/2, 3/2, -1)12
(-1, 3/2, 3/2, 1)31
(0, -3/2, 3/2, -1)-11
(0, -3/2, 3/2, 1)11
(0, 3/2, -3/2, -1)-11
(0, 3/2, -3/2, 1)11
(1, -3/2, -3/2, -1)-31
(1, -3/2, -3/2, 1)-12
(1, -3/2, 3/2, -1)01
(1, -3/2, 3/2, 1)21
(1, 1/2, -3/2, -1)-12
(1, 1/2, -3/2, 1)12
(1, 3/2, -1/2, -1)12
(1, 3/2, -1/2, 1)32
(1, 3/2, 3/2, -1)32
(1, 3/2, 3/2, 1)51
HFL projection-101-202A1A2

Record

FL/HFL Links

orderOption(int) 3932
namestring L11a545{1;1;1}
statusstring success
slugstring L11a545_1_1_1_5a16a936
result_filestring details/L11a545_1_1_1_5a16a936.json
complexity_scoreOption(int) 484
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 4
girthOption(int) 6
total_rankOption(int) 1152
wall_secondsOption(float) 0.00734
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 4
support_sizeOption(int) 138
vertex_countOption(int) 24
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 32
alexander_vertex_countOption(int) 20
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a545_1_1_1_5a16a936"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a545_1_1_1_5a16a936