details/L11a546_1_1_0_a2c64e63.json

Multivariable Alexander polynomial

ΔL
3*A1^(1/2)*A2*A3*A4^(1/2) - A1^(1/2)*A2*A3*A4^(-1/2) - 3*A1^(1/2)*A2*A4^(1/2) + 2*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) - 3*A1^(1/2)*A3*A4^(1/2) + 2*A1^(1/2)*A3*A4^(-1/2) + 3*A1^(1/2)*A4^(1/2) - 4*A1^(1/2)*A4^(-1/2) - 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) - A1^(1/2)*A2^(-1)*A4^(1/2) + 2*A1^(1/2)*A2^(-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*A4^(1/2) - 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) - A1^(-1/2)*A3*A4^(-1/2) - 4*A1^(-1/2)*A4^(1/2) + 3*A1^(-1/2)*A4^(-1/2) + 2*A1^(-1/2)*A3^(-1)*A4^(1/2) - 3*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) + 2*A1^(-1/2)*A2^(-1)*A4^(1/2) - 3*A1^(-1/2)*A2^(-1)*A4^(-1/2) - A1^(-1/2)*A2^(-1)*A3^(-1)*A4^(1/2) + 3*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
3*m^(-10)*A1^(-1)*A2^(-3/2)*A3^(-3/2)*A4^(-1) + 4*m^(-9)*A1^(-1)*A2^(-3/2)*A3^(-3/2) + 6*m^(-9)*A1^(-1)*A2^(-3/2)*A3^(-1/2)*A4^(-1) + 6*m^(-9)*A1^(-1)*A2^(-1/2)*A3^(-3/2)*A4^(-1) + 4*m^(-9)*A2^(-3/2)*A3^(-3/2)*A4^(-1) + m^(-8)*A1^(-1)*A2^(-3/2)*A3^(-3/2)*A4 + 9*m^(-8)*A1^(-1)*A2^(-3/2)*A3^(-1/2) + 4*m^(-8)*A1^(-1)*A2^(-3/2)*A3^(1/2)*A4^(-1) + 9*m^(-8)*A1^(-1)*A2^(-1/2)*A3^(-3/2) + 12*m^(-8)*A1^(-1)*A2^(-1/2)*A3^(-1/2)*A4^(-1) + 4*m^(-8)*A1^(-1)*A2^(1/2)*A3^(-3/2)*A4^(-1) + 5*m^(-8)*A2^(-3/2)*A3^(-3/2) + 9*m^(-8)*A2^(-3/2)*A3^(-1/2)*A4^(-1) + 9*m^(-8)*A2^(-1/2)*A3^(-3/2)*A4^(-1) + m^(-8)*A1*A2^(-3/2)*A3^(-3/2)*A4^(-1) + 3*m^(-7)*A1^(-1)*A2^(-3/2)*A3^(-1/2)*A4 + 7*m^(-7)*A1^(-1)*A2^(-3/2)*A3^(1/2) + m^(-7)*A1^(-1)*A2^(-3/2)*A3^(3/2)*A4^(-1) + 3*m^(-7)*A1^(-1)*A2^(-1/2)*A3^(-3/2)*A4 + 21*m^(-7)*A1^(-1)*A2^(-1/2)*A3^(-1/2) + 8*m^(-7)*A1^(-1)*A2^(-1/2)*A3^(1/2)*A4^(-1) + 7*m^(-7)*A1^(-1)*A2^(1/2)*A3^(-3/2) + 8*m^(-7)*A1^(-1)*A2^(1/2)*A3^(-1/2)*A4^(-1) + m^(-7)*A1^(-1)*A2^(3/2)*A3^(-3/2)*A4^(-1) + m^(-7)*A2^(-3/2)*A3^(-3/2)*A4 + 13*m^(-7)*A2^(-3/2)*A3^(-1/2) + 7*m^(-7)*A2^(-3/2)*A3^(1/2)*A4^(-1) + 13*m^(-7)*A2^(-1/2)*A3^(-3/2) + 21*m^(-7)*A2^(-1/2)*A3^(-1/2)*A4^(-1) + 7*m^(-7)*A2^(1/2)*A3^(-3/2)*A4^(-1) + m^(-7)*A1*A2^(-3/2)*A3^(-3/2) + 3*m^(-7)*A1*A2^(-3/2)*A3^(-1/2)*A4^(-1) + 3*m^(-7)*A1*A2^(-1/2)*A3^(-3/2)*A4^(-1) + 3*m^(-6)*A1^(-1)*A2^(-3/2)*A3^(1/2)*A4 + 2*m^(-6)*A1^(-1)*A2^(-3/2)*A3^(3/2) + 9*m^(-6)*A1^(-1)*A2^(-1/2)*A3^(-1/2)*A4 + 17*m^(-6)*A1^(-1)*A2^(-1/2)*A3^(1/2) + 2*m^(-6)*A1^(-1)*A2^(-1/2)*A3^(3/2)*A4^(-1) + 3*m^(-6)*A1^(-1)*A2^(1/2)*A3^(-3/2)*A4 + 17*m^(-6)*A1^(-1)*A2^(1/2)*A3^(-1/2) + 5*m^(-6)*A1^(-1)*A2^(1/2)*A3^(1/2)*A4^(-1) + 2*m^(-6)*A1^(-1)*A2^(3/2)*A3^(-3/2) + 2*m^(-6)*A1^(-1)*A2^(3/2)*A3^(-1/2)*A4^(-1) + 4*m^(-6)*A2^(-3/2)*A3^(-1/2)*A4 + 12*m^(-6)*A2^(-3/2)*A3^(1/2) + 2*m^(-6)*A2^(-3/2)*A3^(3/2)*A4^(-1) + 4*m^(-6)*A2^(-1/2)*A3^(-3/2)*A4 + 35*m^(-6)*A2^(-1/2)*A3^(-1/2) + 17*m^(-6)*A2^(-1/2)*A3^(1/2)*A4^(-1) + 12*m^(-6)*A2^(1/2)*A3^(-3/2) + 17*m^(-6)*A2^(1/2)*A3^(-1/2)*A4^(-1) + 2*m^(-6)*A2^(3/2)*A3^(-3/2)*A4^(-1) + 4*m^(-6)*A1*A2^(-3/2)*A3^(-1/2) + 3*m^(-6)*A1*A2^(-3/2)*A3^(1/2)*A4^(-1) + 4*m^(-6)*A1*A2^(-1/2)*A3^(-3/2) + 9*m^(-6)*A1*A2^(-1/2)*A3^(-1/2)*A4^(-1) + 3*m^(-6)*A1*A2^(1/2)*A3^(-3/2)*A4^(-1) + m^(-5)*A1^(-1)*A2^(-3/2)*A3^(3/2)*A4 + 9*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(1/2)*A4 + 5*m^(-5)*A1^(-1)*A2^(-1/2)*A3^(3/2) + 9*m^(-5)*A1^(-1)*A2^(1/2)*A3^(-1/2)*A4 + 14*m^(-5)*A1^(-1)*A2^(1/2)*A3^(1/2) + m^(-5)*A1^(-1)*A2^(1/2)*A3^(3/2)*A4^(-1) + m^(-5)*A1^(-1)*A2^(3/2)*A3^(-3/2)*A4 + 5*m^(-5)*A1^(-1)*A2^(3/2)*A3^(-1/2) + m^(-5)*A1^(-1)*A2^(3/2)*A3^(1/2)*A4^(-1) + 5*m^(-5)*A2^(-3/2)*A3^(1/2)*A4 + 4*m^(-5)*A2^(-3/2)*A3^(3/2) + 14*m^(-5)*A2^(-1/2)*A3^(-1/2)*A4 + 34*m^(-5)*A2^(-1/2)*A3^(1/2) + 5*m^(-5)*A2^(-1/2)*A3^(3/2)*A4^(-1) + 5*m^(-5)*A2^(1/2)*A3^(-3/2)*A4 + 34*m^(-5)*A2^(1/2)*A3^(-1/2) + 14*m^(-5)*A2^(1/2)*A3^(1/2)*A4^(-1) + 4*m^(-5)*A2^(3/2)*A3^(-3/2) + 5*m^(-5)*A2^(3/2)*A3^(-1/2)*A4^(-1) + m^(-5)*A1*A2^(-3/2)*A3^(-1/2)*A4 + 5*m^(-5)*A1*A2^(-3/2)*A3^(1/2) + m^(-5)*A1*A2^(-3/2)*A3^(3/2)*A4^(-1) + m^(-5)*A1*A2^(-1/2)*A3^(-3/2)*A4 + 14*m^(-5)*A1*A2^(-1/2)*A3^(-1/2) + 9*m^(-5)*A1*A2^(-1/2)*A3^(1/2)*A4^(-1) + 5*m^(-5)*A1*A2^(1/2)*A3^(-3/2) + 9*m^(-5)*A1*A2^(1/2)*A3^(-1/2)*A4^(-1) + m^(-5)*A1*A2^(3/2)*A3^(-3/2)*A4^(-1) + 3*m^(-4)*A1^(-1)*A2^(-1/2)*A3^(3/2)*A4 + 9*m^(-4)*A1^(-1)*A2^(1/2)*A3^(1/2)*A4 + 4*m^(-4)*A1^(-1)*A2^(1/2)*A3^(3/2) + 3*m^(-4)*A1^(-1)*A2^(3/2)*A3^(-1/2)*A4 + 4*m^(-4)*A1^(-1)*A2^(3/2)*A3^(1/2) + 2*m^(-4)*A2^(-3/2)*A3^(3/2)*A4 + 17*m^(-4)*A2^(-1/2)*A3^(1/2)*A4 + 12*m^(-4)*A2^(-1/2)*A3^(3/2) + 17*m^(-4)*A2^(1/2)*A3^(-1/2)*A4 + 35*m^(-4)*A2^(1/2)*A3^(1/2) + 4*m^(-4)*A2^(1/2)*A3^(3/2)*A4^(-1) + 2*m^(-4)*A2^(3/2)*A3^(-3/2)*A4 + 12*m^(-4)*A2^(3/2)*A3^(-1/2) + 4*m^(-4)*A2^(3/2)*A3^(1/2)*A4^(-1) + 2*m^(-4)*A1*A2^(-3/2)*A3^(1/2)*A4 + 2*m^(-4)*A1*A2^(-3/2)*A3^(3/2) + 5*m^(-4)*A1*A2^(-1/2)*A3^(-1/2)*A4 + 17*m^(-4)*A1*A2^(-1/2)*A3^(1/2) + 3*m^(-4)*A1*A2^(-1/2)*A3^(3/2)*A4^(-1) + 2*m^(-4)*A1*A2^(1/2)*A3^(-3/2)*A4 + 17*m^(-4)*A1*A2^(1/2)*A3^(-1/2) + 9*m^(-4)*A1*A2^(1/2)*A3^(1/2)*A4^(-1) + 2*m^(-4)*A1*A2^(3/2)*A3^(-3/2) + 3*m^(-4)*A1*A2^(3/2)*A3^(-1/2)*A4^(-1) + 3*m^(-3)*A1^(-1)*A2^(1/2)*A3^(3/2)*A4 + 3*m^(-3)*A1^(-1)*A2^(3/2)*A3^(1/2)*A4 + m^(-3)*A1^(-1)*A2^(3/2)*A3^(3/2) + 7*m^(-3)*A2^(-1/2)*A3^(3/2)*A4 + 21*m^(-3)*A2^(1/2)*A3^(1/2)*A4 + 13*m^(-3)*A2^(1/2)*A3^(3/2) + 7*m^(-3)*A2^(3/2)*A3^(-1/2)*A4 + 13*m^(-3)*A2^(3/2)*A3^(1/2) + m^(-3)*A2^(3/2)*A3^(3/2)*A4^(-1) + m^(-3)*A1*A2^(-3/2)*A3^(3/2)*A4 + 8*m^(-3)*A1*A2^(-1/2)*A3^(1/2)*A4 + 7*m^(-3)*A1*A2^(-1/2)*A3^(3/2) + 8*m^(-3)*A1*A2^(1/2)*A3^(-1/2)*A4 + 21*m^(-3)*A1*A2^(1/2)*A3^(1/2) + 3*m^(-3)*A1*A2^(1/2)*A3^(3/2)*A4^(-1) + m^(-3)*A1*A2^(3/2)*A3^(-3/2)*A4 + 7*m^(-3)*A1*A2^(3/2)*A3^(-1/2) + 3*m^(-3)*A1*A2^(3/2)*A3^(1/2)*A4^(-1) + m^(-2)*A1^(-1)*A2^(3/2)*A3^(3/2)*A4 + 9*m^(-2)*A2^(1/2)*A3^(3/2)*A4 + 9*m^(-2)*A2^(3/2)*A3^(1/2)*A4 + 5*m^(-2)*A2^(3/2)*A3^(3/2) + 4*m^(-2)*A1*A2^(-1/2)*A3^(3/2)*A4 + 12*m^(-2)*A1*A2^(1/2)*A3^(1/2)*A4 + 9*m^(-2)*A1*A2^(1/2)*A3^(3/2) + 4*m^(-2)*A1*A2^(3/2)*A3^(-1/2)*A4 + 9*m^(-2)*A1*A2^(3/2)*A3^(1/2) + m^(-2)*A1*A2^(3/2)*A3^(3/2)*A4^(-1) + 4*m^(-1)*A2^(3/2)*A3^(3/2)*A4 + 6*m^(-1)*A1*A2^(1/2)*A3^(3/2)*A4 + 6*m^(-1)*A1*A2^(3/2)*A3^(1/2)*A4 + 4*m^(-1)*A1*A2^(3/2)*A3^(3/2) + 3*A1*A2^(3/2)*A3^(3/2)*A4
VertexMaslovRank
(-1, -3/2, -3/2, -1)-103
(-1, -3/2, -3/2, 1)-81
(-1, -3/2, 3/2, -1)-71
(-1, -3/2, 3/2, 1)-51
(-1, 1/2, 3/2, -1)-51
(-1, 3/2, -3/2, -1)-71
(-1, 3/2, -3/2, 1)-51
(-1, 3/2, 1/2, -1)-51
(-1, 3/2, 3/2, 0)-31
(-1, 3/2, 3/2, 1)-21
(0, -3/2, -3/2, 1)-71
(0, 3/2, 3/2, -1)-31
(1, -3/2, -3/2, -1)-81
(1, -3/2, -3/2, 0)-71
(1, -3/2, -1/2, 1)-51
(1, -3/2, 3/2, -1)-51
(1, -3/2, 3/2, 1)-31
(1, -1/2, -3/2, 1)-51
(1, 3/2, -3/2, -1)-51
(1, 3/2, -3/2, 1)-31
(1, 3/2, 3/2, -1)-21
(1, 3/2, 3/2, 1)03
HFL projection-101-202A1A2

Record

FL/HFL Links

orderOption(int) 3939
namestring L11a546{1;1;0}
statusstring success
slugstring L11a546_1_1_0_a2c64e63
result_filestring details/L11a546_1_1_0_a2c64e63.json
complexity_scoreOption(int) 484
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 4
girthOption(int) 6
total_rankOption(int) 1024
wall_secondsOption(float) 0.007061
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 4
support_sizeOption(int) 142
vertex_countOption(int) 22
fibered_vertex_countOption(int) 0
polytope_statusstring computed
alexander_support_sizeOption(int) 34
alexander_vertex_countOption(int) 18
alexander_relationstring not_computed
fk_countint 0
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L11a546_1_1_0_a2c64e63"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a546_1_1_0_a2c64e63