details/L10n30_0_5de83360.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(-1/2, -5/2) (1, 1) x1^(1/2)x2^(5/2) q^(-3/2) 
{"0": [-1, -1, -1, -1, -1, -1], "1": [-1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1]}
 
(-q^(-3/2))*x1^(1/2)*x2^(5/2) + (-3*q^(-3/2))*x1^(1/2)*x2^(7/2) + (-6*q^(-3/2) + q^(-5/2))*x1^(1/2)*x2^(9/2) + (q^(1/2) - 10*q^(-3/2) + 3*q^(-5/2) + q^(-7/2))*x1^(1/2)*x2^(11/2) + (3*q^(3/2) + 3*q^(1/2) - q^(-1/2) - 15*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2))*x1^(1/2)*x2^(13/2) + (6*q^(5/2) + 9*q^(3/2) + 3*q^(1/2) - 4*q^(-1/2) - 20*q^(-3/2) + 13*q^(-5/2) + 7*q^(-7/2) - q^(-13/2))*x1^(1/2)*x2^(15/2) + (-q^(11/2) + 10*q^(7/2) + 18*q^(5/2) + 12*q^(3/2) - 2*q^(1/2) - 9*q^(-1/2) - 25*q^(-3/2) + 23*q^(-5/2) + 13*q^(-7/2) - q^(-11/2) - 3*q^(-13/2) - q^(-17/2))*x1^(1/2)*x2^(17/2) + (-3*q^(15/2) - 3*q^(13/2) - 3*q^(11/2) + 16*q^(9/2) + 31*q^(7/2) + 26*q^(5/2) + 5*q^(3/2) - 15*q^(1/2) - 16*q^(-1/2) - 27*q^(-3/2) + 38*q^(-5/2) + 22*q^(-7/2) - q^(-9/2) - 3*q^(-11/2) - 8*q^(-13/2) - q^(-15/2) - 3*q^(-17/2))*x1^(1/2)*x2^(19/2) + (q^(-5/2))*x1^(3/2)*x2^(7/2) + (q^(-3/2) + 3*q^(-5/2))*x1^(3/2)*x2^(9/2) + (q^(-1/2) + 3*q^(-3/2) + 7*q^(-5/2) - q^(-7/2) + q^(-9/2))*x1^(3/2)*x2^(11/2) + (2*q^(-1/2) + 8*q^(-3/2) + 12*q^(-5/2) - 4*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2))*x1^(3/2)*x2^(13/2) + (-q^(5/2) - 3*q^(3/2) - 3*q^(1/2) + 6*q^(-1/2) + 16*q^(-3/2) + 17*q^(-5/2) - 12*q^(-7/2) + 2*q^(-9/2) + 9*q^(-11/2) + 4*q^(-13/2) - q^(-15/2))*x1^(3/2)*x2^(15/2) + (-q^(9/2) - 4*q^(7/2) - 11*q^(5/2) - 16*q^(3/2) - 5*q^(1/2) + 17*q^(-1/2) + 28*q^(-3/2) + 16*q^(-5/2) - 30*q^(-7/2) - q^(-9/2) + 20*q^(-11/2) + 13*q^(-13/2) + 2*q^(-15/2) - 4*q^(-17/2) - q^(-19/2))*x1^(3/2)*x2^(17/2) + (-3*q^(11/2) - 11*q^(9/2) - 29*q^(7/2) - 44*q^(5/2) - 32*q^(3/2) + 7*q^(1/2) + 43*q^(-1/2) + 37*q^(-3/2) - 3*q^(-5/2) - 68*q^(-7/2) - 9*q^(-9/2) + 39*q^(-11/2) + 33*q^(-13/2) + 10*q^(-15/2) - 8*q^(-17/2) - 9*q^(-19/2) - 3*q^(-21/2))*x1^(3/2)*x2^(19/2) + (-q^(-9/2))*x1^(5/2)*x2^(9/2) + (-q^(-5/2) - q^(-7/2) - 3*q^(-9/2))*x1^(5/2)*x2^(11/2) + (-q^(-1/2) - q^(-3/2) - 4*q^(-5/2) - 4*q^(-7/2) - 7*q^(-9/2) - q^(-13/2))*x1^(5/2)*x2^(13/2) + (-q^(3/2) - q^(1/2) - 3*q^(-1/2) - 4*q^(-3/2) - 11*q^(-5/2) - 10*q^(-7/2) - 13*q^(-9/2) - 4*q^(-13/2) - 3*q^(-15/2))*x1^(5/2)*x2^(15/2) + (-q^(7/2) - 2*q^(3/2) - 6*q^(-1/2) - 10*q^(-3/2) - 24*q^(-5/2) - 19*q^(-7/2) - 19*q^(-9/2) + q^(-11/2) - 12*q^(-13/2) - 14*q^(-15/2) - 3*q^(-17/2) + 2*q^(-19/2) - q^(-21/2))*x1^(5/2)*x2^(17/2) + (q^(9/2) + 2*q^(7/2) + 6*q^(5/2) + 7*q^(3/2) + 9*q^(1/2) - 9*q^(-1/2) - 23*q^(-3/2) - 45*q^(-5/2) - 26*q^(-7/2) - 17*q^(-9/2) + 6*q^(-11/2) - 30*q^(-13/2) - 43*q^(-15/2) - 17*q^(-17/2) + 6*q^(-19/2) + 5*q^(-21/2) - 2*q^(-23/2) - 3*q^(-25/2))*x1^(5/2)*x2^(19/2) + (q^(-15/2))*x1^(7/2)*x2^(11/2) + (q^(-9/2) + q^(-11/2) + q^(-13/2) + 3*q^(-15/2))*x1^(7/2)*x2^(13/2) + (q^(-3/2) + q^(-5/2) + 2*q^(-7/2) + 4*q^(-9/2) + 5*q^(-11/2) + 4*q^(-13/2) + 8*q^(-15/2) + q^(-19/2))*x1^(7/2)*x2^(15/2) + (q^(3/2) + q^(1/2) + 2*q^(-1/2) + 5*q^(-3/2) + 5*q^(-5/2) + 8*q^(-7/2) + 13*q^(-9/2) + 14*q^(-11/2) + 12*q^(-13/2) + 17*q^(-15/2) + 3*q^(-17/2) + 4*q^(-19/2) + 2*q^(-21/2))*x1^(7/2)*x2^(17/2) + (q^(9/2) + q^(7/2) + 2*q^(5/2) + 4*q^(3/2) + 5*q^(1/2) + 7*q^(-1/2) + 13*q^(-3/2) + 13*q^(-5/2) + 23*q^(-7/2) + 30*q^(-9/2) + 33*q^(-11/2) + 27*q^(-13/2) + 34*q^(-15/2) + 12*q^(-17/2) + 17*q^(-19/2) + 10*q^(-21/2) + 3*q^(-23/2) - q^(-25/2))*x1^(7/2)*x2^(19/2) + (-q^(-23/2))*x1^(9/2)*x2^(13/2) + (-q^(-15/2) - q^(-17/2) - q^(-19/2) - q^(-21/2) - 3*q^(-23/2))*x1^(9/2)*x2^(15/2) + (-q^(-7/2) - q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2) - 5*q^(-15/2) - 5*q^(-17/2) - 5*q^(-19/2) - 5*q^(-21/2) - 8*q^(-23/2) - q^(-27/2))*x1^(9/2)*x2^(17/2) + (-q^(1/2) - q^(-1/2) - 2*q^(-3/2) - 3*q^(-5/2) - 6*q^(-7/2) - 7*q^(-9/2) - 10*q^(-11/2) - 10*q^(-13/2) - 18*q^(-15/2) - 17*q^(-17/2) - 16*q^(-19/2) - 16*q^(-21/2) - 20*q^(-23/2) - 3*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2) + q^(-31/2))*x1^(9/2)*x2^(19/2) + (q^(-33/2))*x1^(11/2)*x2^(15/2) + (q^(-23/2) + q^(-25/2) + q^(-27/2) + q^(-29/2) + q^(-31/2) + 3*q^(-33/2))*x1^(11/2)*x2^(17/2) + (q^(-13/2) + q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) + 3*q^(-21/2) + 5*q^(-23/2) + 6*q^(-25/2) + 5*q^(-27/2) + 6*q^(-29/2) + 5*q^(-31/2) + 8*q^(-33/2) + q^(-37/2))*x1^(11/2)*x2^(19/2) + (-q^(-45/2))*x1^(13/2)*x2^(17/2) + (-q^(-33/2) - q^(-35/2) - q^(-37/2) - q^(-39/2) - q^(-41/2) - q^(-43/2) - 3*q^(-45/2))*x1^(13/2)*x2^(19/2) + (q^(-59/2))*x1^(15/2)*x2^(19/2)
(-1/2, -5/2) (1, 1) x1^(1/2)x2^(5/2) q^(-3/2) 
{"0": [1, -1, -1, -1, -1, -1], "1": [-1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1]}
 
(-q^(-3/2))*x1^(1/2)*x2^(5/2) + (-3*q^(-3/2))*x1^(1/2)*x2^(7/2) + (-6*q^(-3/2) + q^(-5/2))*x1^(1/2)*x2^(9/2) + (q^(1/2) - 10*q^(-3/2) + 3*q^(-5/2) + q^(-7/2))*x1^(1/2)*x2^(11/2) + (3*q^(3/2) + 3*q^(1/2) - q^(-1/2) - 15*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2))*x1^(1/2)*x2^(13/2) + (6*q^(5/2) + 9*q^(3/2) + 3*q^(1/2) - 4*q^(-1/2) - 20*q^(-3/2) + 13*q^(-5/2) + 7*q^(-7/2) - q^(-13/2))*x1^(1/2)*x2^(15/2) + (-q^(11/2) + 10*q^(7/2) + 18*q^(5/2) + 12*q^(3/2) - 2*q^(1/2) - 9*q^(-1/2) - 25*q^(-3/2) + 23*q^(-5/2) + 13*q^(-7/2) - q^(-11/2) - 3*q^(-13/2) - q^(-17/2))*x1^(1/2)*x2^(17/2) + (-3*q^(15/2) - 3*q^(13/2) - 3*q^(11/2) + 16*q^(9/2) + 31*q^(7/2) + 26*q^(5/2) + 5*q^(3/2) - 15*q^(1/2) - 16*q^(-1/2) - 27*q^(-3/2) + 38*q^(-5/2) + 22*q^(-7/2) - q^(-9/2) - 3*q^(-11/2) - 8*q^(-13/2) - q^(-15/2) - 3*q^(-17/2))*x1^(1/2)*x2^(19/2) + (q^(-5/2))*x1^(3/2)*x2^(7/2) + (q^(-3/2) + 3*q^(-5/2))*x1^(3/2)*x2^(9/2) + (q^(-1/2) + 3*q^(-3/2) + 7*q^(-5/2) - q^(-7/2) + q^(-9/2))*x1^(3/2)*x2^(11/2) + (2*q^(-1/2) + 8*q^(-3/2) + 12*q^(-5/2) - 4*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2))*x1^(3/2)*x2^(13/2) + (-q^(5/2) - 3*q^(3/2) - 3*q^(1/2) + 6*q^(-1/2) + 16*q^(-3/2) + 17*q^(-5/2) - 12*q^(-7/2) + 2*q^(-9/2) + 9*q^(-11/2) + 4*q^(-13/2) - q^(-15/2))*x1^(3/2)*x2^(15/2) + (-q^(9/2) - 4*q^(7/2) - 11*q^(5/2) - 16*q^(3/2) - 5*q^(1/2) + 17*q^(-1/2) + 28*q^(-3/2) + 16*q^(-5/2) - 30*q^(-7/2) - q^(-9/2) + 20*q^(-11/2) + 13*q^(-13/2) + 2*q^(-15/2) - 4*q^(-17/2) - q^(-19/2))*x1^(3/2)*x2^(17/2) + (-3*q^(11/2) - 11*q^(9/2) - 29*q^(7/2) - 44*q^(5/2) - 32*q^(3/2) + 7*q^(1/2) + 43*q^(-1/2) + 37*q^(-3/2) - 3*q^(-5/2) - 68*q^(-7/2) - 9*q^(-9/2) + 39*q^(-11/2) + 33*q^(-13/2) + 10*q^(-15/2) - 8*q^(-17/2) - 9*q^(-19/2) - 3*q^(-21/2))*x1^(3/2)*x2^(19/2) + (-q^(-9/2))*x1^(5/2)*x2^(9/2) + (-q^(-5/2) - q^(-7/2) - 3*q^(-9/2))*x1^(5/2)*x2^(11/2) + (-q^(-1/2) - q^(-3/2) - 4*q^(-5/2) - 4*q^(-7/2) - 7*q^(-9/2) - q^(-13/2))*x1^(5/2)*x2^(13/2) + (-q^(3/2) - q^(1/2) - 3*q^(-1/2) - 4*q^(-3/2) - 11*q^(-5/2) - 10*q^(-7/2) - 13*q^(-9/2) - 4*q^(-13/2) - 3*q^(-15/2))*x1^(5/2)*x2^(15/2) + (-q^(7/2) - 2*q^(3/2) - 6*q^(-1/2) - 10*q^(-3/2) - 24*q^(-5/2) - 19*q^(-7/2) - 19*q^(-9/2) + q^(-11/2) - 12*q^(-13/2) - 14*q^(-15/2) - 3*q^(-17/2) + 2*q^(-19/2) - q^(-21/2))*x1^(5/2)*x2^(17/2) + (q^(9/2) + 2*q^(7/2) + 6*q^(5/2) + 7*q^(3/2) + 9*q^(1/2) - 9*q^(-1/2) - 23*q^(-3/2) - 45*q^(-5/2) - 26*q^(-7/2) - 17*q^(-9/2) + 6*q^(-11/2) - 30*q^(-13/2) - 43*q^(-15/2) - 17*q^(-17/2) + 6*q^(-19/2) + 5*q^(-21/2) - 2*q^(-23/2) - 3*q^(-25/2))*x1^(5/2)*x2^(19/2) + (q^(-15/2))*x1^(7/2)*x2^(11/2) + (q^(-9/2) + q^(-11/2) + q^(-13/2) + 3*q^(-15/2))*x1^(7/2)*x2^(13/2) + (q^(-3/2) + q^(-5/2) + 2*q^(-7/2) + 4*q^(-9/2) + 5*q^(-11/2) + 4*q^(-13/2) + 8*q^(-15/2) + q^(-19/2))*x1^(7/2)*x2^(15/2) + (q^(3/2) + q^(1/2) + 2*q^(-1/2) + 5*q^(-3/2) + 5*q^(-5/2) + 8*q^(-7/2) + 13*q^(-9/2) + 14*q^(-11/2) + 12*q^(-13/2) + 17*q^(-15/2) + 3*q^(-17/2) + 4*q^(-19/2) + 2*q^(-21/2))*x1^(7/2)*x2^(17/2) + (q^(9/2) + q^(7/2) + 2*q^(5/2) + 4*q^(3/2) + 5*q^(1/2) + 7*q^(-1/2) + 13*q^(-3/2) + 13*q^(-5/2) + 23*q^(-7/2) + 30*q^(-9/2) + 33*q^(-11/2) + 27*q^(-13/2) + 34*q^(-15/2) + 12*q^(-17/2) + 17*q^(-19/2) + 10*q^(-21/2) + 3*q^(-23/2) - q^(-25/2))*x1^(7/2)*x2^(19/2) + (-q^(-23/2))*x1^(9/2)*x2^(13/2) + (-q^(-15/2) - q^(-17/2) - q^(-19/2) - q^(-21/2) - 3*q^(-23/2))*x1^(9/2)*x2^(15/2) + (-q^(-7/2) - q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2) - 5*q^(-15/2) - 5*q^(-17/2) - 5*q^(-19/2) - 5*q^(-21/2) - 8*q^(-23/2) - q^(-27/2))*x1^(9/2)*x2^(17/2) + (-q^(1/2) - q^(-1/2) - 2*q^(-3/2) - 3*q^(-5/2) - 6*q^(-7/2) - 7*q^(-9/2) - 10*q^(-11/2) - 10*q^(-13/2) - 18*q^(-15/2) - 17*q^(-17/2) - 16*q^(-19/2) - 16*q^(-21/2) - 20*q^(-23/2) - 3*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2) + q^(-31/2))*x1^(9/2)*x2^(19/2) + (q^(-33/2))*x1^(11/2)*x2^(15/2) + (q^(-23/2) + q^(-25/2) + q^(-27/2) + q^(-29/2) + q^(-31/2) + 3*q^(-33/2))*x1^(11/2)*x2^(17/2) + (q^(-13/2) + q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) + 3*q^(-21/2) + 5*q^(-23/2) + 6*q^(-25/2) + 5*q^(-27/2) + 6*q^(-29/2) + 5*q^(-31/2) + 8*q^(-33/2) + q^(-37/2))*x1^(11/2)*x2^(19/2) + (-q^(-45/2))*x1^(13/2)*x2^(17/2) + (-q^(-33/2) - q^(-35/2) - q^(-37/2) - q^(-39/2) - q^(-41/2) - q^(-43/2) - 3*q^(-45/2))*x1^(13/2)*x2^(19/2) + (q^(-59/2))*x1^(15/2)*x2^(19/2)
(1/2, -3/2) (-1, 1/2) x1^(-1/2)x2^(3/2) q^(-59/2) 
{"0": [1, -1, -1, -1, -1, -1], "1": [-1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1]}
 
(q^(-59/2))*x1^(-15/2)*x2^(-11/2) + (-q^(-45/2))*x1^(-13/2)*x2^(-9/2) + (-2*q^(-45/2) + q^(-47/2) + q^(-49/2) + q^(-51/2) + q^(-53/2) + q^(-55/2) + q^(-57/2))*x1^(-13/2)*x2^(-7/2) + (q^(-33/2))*x1^(-11/2)*x2^(-7/2) + (2*q^(-33/2) - q^(-35/2) - q^(-37/2) - q^(-39/2) - q^(-41/2) - q^(-43/2))*x1^(-11/2)*x2^(-5/2) + (3*q^(-33/2) - 4*q^(-35/2) - 3*q^(-37/2) - 3*q^(-39/2) - 3*q^(-41/2) - 2*q^(-43/2) + q^(-47/2) + q^(-51/2))*x1^(-11/2)*x2^(-3/2) + (-q^(-23/2))*x1^(-9/2)*x2^(-5/2) + (-2*q^(-23/2) + q^(-25/2) + q^(-27/2) + q^(-29/2) + q^(-31/2))*x1^(-9/2)*x2^(-3/2) + (-3*q^(-23/2) + 4*q^(-25/2) + 3*q^(-27/2) + 3*q^(-29/2) + 3*q^(-31/2))*x1^(-9/2)*x2^(-1/2) + (-q^(-15/2) - q^(-17/2) - q^(-19/2) - 2*q^(-21/2) - 5*q^(-23/2) + 7*q^(-25/2) + 4*q^(-27/2) + 3*q^(-29/2) + 4*q^(-31/2) - 4*q^(-33/2) - 3*q^(-35/2) - 3*q^(-37/2) - 3*q^(-39/2) - 4*q^(-41/2) - 3*q^(-43/2) - 2*q^(-45/2) - q^(-47/2))*x1^(-9/2)*x2^(1/2) + (q^(-15/2))*x1^(-7/2)*x2^(-3/2) + (2*q^(-15/2) - q^(-17/2) - q^(-19/2) - q^(-21/2))*x1^(-7/2)*x2^(-1/2) + (3*q^(-15/2) - 4*q^(-17/2) - 3*q^(-19/2) - 3*q^(-21/2) - q^(-23/2) - q^(-27/2))*x1^(-7/2)*x2^(1/2) + (q^(-9/2) + q^(-11/2) + 2*q^(-13/2) + 5*q^(-15/2) - 7*q^(-17/2) - 5*q^(-19/2) - 3*q^(-21/2) + 2*q^(-25/2) - q^(-27/2) + 2*q^(-29/2) + 3*q^(-31/2) + 2*q^(-33/2) + q^(-35/2))*x1^(-7/2)*x2^(3/2) + (2*q^(-9/2) + 4*q^(-11/2) + 5*q^(-13/2) + 6*q^(-15/2) - 14*q^(-17/2) - 8*q^(-19/2) + 2*q^(-21/2) + 5*q^(-23/2) + 6*q^(-25/2) + q^(-27/2) + 9*q^(-29/2) + 13*q^(-31/2) + 14*q^(-33/2) + 7*q^(-35/2) + 3*q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2) + q^(-45/2))*x1^(-7/2)*x2^(5/2) + (-q^(-9/2))*x1^(-5/2)*x2^(-1/2) + (-2*q^(-9/2) + q^(-11/2) + q^(-13/2))*x1^(-5/2)*x2^(1/2) + (-3*q^(-9/2) + 4*q^(-11/2) + 3*q^(-13/2) + q^(-15/2) + q^(-17/2) + q^(-19/2))*x1^(-5/2)*x2^(3/2) + (-q^(-5/2) - 2*q^(-7/2) - 5*q^(-9/2) + 8*q^(-11/2) + 5*q^(-13/2) - q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) - 2*q^(-23/2) - q^(-25/2))*x1^(-5/2)*x2^(5/2) + (-4*q^(-5/2) - 6*q^(-7/2) - 4*q^(-9/2) + 14*q^(-11/2) + 4*q^(-13/2) - 9*q^(-15/2) + q^(-17/2) + 3*q^(-19/2) - 3*q^(-21/2) - 11*q^(-23/2) - 9*q^(-25/2) - 4*q^(-27/2) - q^(-29/2) - 2*q^(-31/2) - q^(-33/2) - q^(-35/2))*x1^(-5/2)*x2^(7/2) + (q^(-1/2) - 2*q^(-3/2) - 11*q^(-5/2) - 4*q^(-7/2) + 8*q^(-9/2) + 25*q^(-11/2) + q^(-13/2) - 19*q^(-15/2) + 6*q^(-17/2) + 14*q^(-19/2) - 26*q^(-23/2) - 27*q^(-25/2) - 14*q^(-27/2) - q^(-29/2) - 2*q^(-31/2) - 4*q^(-33/2) - 5*q^(-35/2) - q^(-37/2) + q^(-39/2) + 2*q^(-41/2) + q^(-43/2))*x1^(-5/2)*x2^(9/2) + (q^(-5/2))*x1^(-3/2)*x2^(1/2) + (2*q^(-5/2) - q^(-7/2))*x1^(-3/2)*x2^(3/2) + (3*q^(-5/2) - 4*q^(-7/2) - q^(-9/2) - q^(-11/2) - q^(-13/2))*x1^(-3/2)*x2^(5/2) + (2*q^(-3/2) + 4*q^(-5/2) - 8*q^(-7/2) - q^(-9/2) - q^(-11/2) - 4*q^(-13/2) - q^(-15/2) + q^(-17/2))*x1^(-3/2)*x2^(7/2) + (2*q^(-1/2) + 4*q^(-3/2) + 4*q^(-5/2) - 12*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) - 6*q^(-13/2) - 2*q^(-15/2) + 5*q^(-17/2) + 5*q^(-19/2) + q^(-21/2) + q^(-23/2) + q^(-25/2) + q^(-27/2))*x1^(-3/2)*x2^(9/2) + (2*q^(1/2) + 4*q^(-1/2) + 4*q^(-3/2) - 17*q^(-7/2) + 6*q^(-9/2) + 9*q^(-11/2) - 11*q^(-13/2) - 6*q^(-15/2) + 10*q^(-17/2) + 18*q^(-19/2) + 9*q^(-21/2) + 2*q^(-23/2) + 3*q^(-25/2) + 6*q^(-27/2) + 3*q^(-29/2) + q^(-31/2) - q^(-33/2))*x1^(-3/2)*x2^(11/2) + (2*q^(3/2) + 4*q^(1/2) + 4*q^(-1/2) - 6*q^(-5/2) - 22*q^(-7/2) + 11*q^(-9/2) + 12*q^(-11/2) - 24*q^(-13/2) - 21*q^(-15/2) + 7*q^(-17/2) + 33*q^(-19/2) + 21*q^(-21/2) + q^(-23/2) - 6*q^(-25/2) + 6*q^(-27/2) + 9*q^(-29/2) + 5*q^(-31/2) - 5*q^(-33/2) - 6*q^(-35/2) - 5*q^(-37/2) - q^(-39/2) - q^(-41/2) - q^(-43/2) - q^(-45/2) - q^(-47/2))*x1^(-3/2)*x2^(13/2) + (-q^(-3/2))*x1^(-1/2)*x2^(3/2) + (-2*q^(-3/2))*x1^(-1/2)*x2^(5/2) + (-3*q^(-3/2) + 2*q^(-5/2) + q^(-9/2))*x1^(-1/2)*x2^(7/2) + (-4*q^(-3/2) + 4*q^(-5/2) + q^(-7/2) + 2*q^(-9/2) + 2*q^(-11/2))*x1^(-1/2)*x2^(9/2) + (-5*q^(-3/2) + 6*q^(-5/2) + q^(-7/2) + q^(-9/2) + 4*q^(-11/2) + q^(-13/2) - 2*q^(-15/2) - q^(-21/2))*x1^(-1/2)*x2^(11/2) + (-6*q^(-3/2) + 8*q^(-5/2) + q^(-7/2) - q^(-9/2) + 5*q^(-11/2) + q^(-13/2) - 4*q^(-15/2) - 5*q^(-17/2) - q^(-19/2) - 2*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2))*x1^(-1/2)*x2^(13/2) + (-7*q^(-3/2) + 10*q^(-5/2) + q^(-7/2) - 3*q^(-9/2) + 7*q^(-11/2) + 2*q^(-13/2) - 3*q^(-15/2) - 11*q^(-17/2) - 6*q^(-19/2) - 2*q^(-21/2) - 2*q^(-23/2) - 7*q^(-25/2) - 2*q^(-27/2) - q^(-29/2) + 2*q^(-31/2) + q^(-39/2))*x1^(-1/2)*x2^(15/2) + (-8*q^(-3/2) + 12*q^(-5/2) + q^(-7/2) - 5*q^(-9/2) + 9*q^(-11/2) + 4*q^(-13/2) - 14*q^(-17/2) - 10*q^(-19/2) - 4*q^(-21/2) + 4*q^(-23/2) - 5*q^(-25/2) - 6*q^(-27/2) - 3*q^(-29/2) + 6*q^(-31/2) + 5*q^(-33/2) + 5*q^(-35/2) + q^(-37/2) + 2*q^(-39/2) + 2*q^(-41/2) + 2*q^(-43/2) + 2*q^(-45/2))*x1^(-1/2)*x2^(17/2)
(1/2, 5/2) x1^(-1/2)x2^(-5/2) q^(-3/2) 
(-q^(-3/2))*x1^(-1/2)*x2^(-5/2) + (-3*q^(-3/2))*x1^(-1/2)*x2^(-7/2) + (-6*q^(-3/2) + q^(-5/2))*x1^(-1/2)*x2^(-9/2) + (q^(1/2) - 10*q^(-3/2) + 3*q^(-5/2) + q^(-7/2))*x1^(-1/2)*x2^(-11/2) + (3*q^(3/2) + 3*q^(1/2) - q^(-1/2) - 15*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2))*x1^(-1/2)*x2^(-13/2) + (6*q^(5/2) + 9*q^(3/2) + 3*q^(1/2) - 4*q^(-1/2) - 20*q^(-3/2) + 13*q^(-5/2) + 7*q^(-7/2) - q^(-13/2))*x1^(-1/2)*x2^(-15/2) + (-q^(11/2) + 10*q^(7/2) + 18*q^(5/2) + 12*q^(3/2) - 2*q^(1/2) - 9*q^(-1/2) - 25*q^(-3/2) + 23*q^(-5/2) + 13*q^(-7/2) - q^(-11/2) - 3*q^(-13/2) - q^(-17/2))*x1^(-1/2)*x2^(-17/2) + (-3*q^(15/2) - 3*q^(13/2) - 3*q^(11/2) + 16*q^(9/2) + 31*q^(7/2) + 26*q^(5/2) + 5*q^(3/2) - 15*q^(1/2) - 16*q^(-1/2) - 27*q^(-3/2) + 38*q^(-5/2) + 22*q^(-7/2) - q^(-9/2) - 3*q^(-11/2) - 8*q^(-13/2) - q^(-15/2) - 3*q^(-17/2))*x1^(-1/2)*x2^(-19/2) + (q^(-5/2))*x1^(-3/2)*x2^(-7/2) + (q^(-3/2) + 3*q^(-5/2))*x1^(-3/2)*x2^(-9/2) + (q^(-1/2) + 3*q^(-3/2) + 7*q^(-5/2) - q^(-7/2) + q^(-9/2))*x1^(-3/2)*x2^(-11/2) + (2*q^(-1/2) + 8*q^(-3/2) + 12*q^(-5/2) - 4*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2))*x1^(-3/2)*x2^(-13/2) + (-q^(5/2) - 3*q^(3/2) - 3*q^(1/2) + 6*q^(-1/2) + 16*q^(-3/2) + 17*q^(-5/2) - 12*q^(-7/2) + 2*q^(-9/2) + 9*q^(-11/2) + 4*q^(-13/2) - q^(-15/2))*x1^(-3/2)*x2^(-15/2) + (-q^(9/2) - 4*q^(7/2) - 11*q^(5/2) - 16*q^(3/2) - 5*q^(1/2) + 17*q^(-1/2) + 28*q^(-3/2) + 16*q^(-5/2) - 30*q^(-7/2) - q^(-9/2) + 20*q^(-11/2) + 13*q^(-13/2) + 2*q^(-15/2) - 4*q^(-17/2) - q^(-19/2))*x1^(-3/2)*x2^(-17/2) + (-3*q^(11/2) - 11*q^(9/2) - 29*q^(7/2) - 44*q^(5/2) - 32*q^(3/2) + 7*q^(1/2) + 43*q^(-1/2) + 37*q^(-3/2) - 3*q^(-5/2) - 68*q^(-7/2) - 9*q^(-9/2) + 39*q^(-11/2) + 33*q^(-13/2) + 10*q^(-15/2) - 8*q^(-17/2) - 9*q^(-19/2) - 3*q^(-21/2))*x1^(-3/2)*x2^(-19/2) + (-q^(-9/2))*x1^(-5/2)*x2^(-9/2) + (-q^(-5/2) - q^(-7/2) - 3*q^(-9/2))*x1^(-5/2)*x2^(-11/2) + (-q^(-1/2) - q^(-3/2) - 4*q^(-5/2) - 4*q^(-7/2) - 7*q^(-9/2) - q^(-13/2))*x1^(-5/2)*x2^(-13/2) + (-q^(3/2) - q^(1/2) - 3*q^(-1/2) - 4*q^(-3/2) - 11*q^(-5/2) - 10*q^(-7/2) - 13*q^(-9/2) - 4*q^(-13/2) - 3*q^(-15/2))*x1^(-5/2)*x2^(-15/2) + (-q^(7/2) - 2*q^(3/2) - 6*q^(-1/2) - 10*q^(-3/2) - 24*q^(-5/2) - 19*q^(-7/2) - 19*q^(-9/2) + q^(-11/2) - 12*q^(-13/2) - 14*q^(-15/2) - 3*q^(-17/2) + 2*q^(-19/2) - q^(-21/2))*x1^(-5/2)*x2^(-17/2) + (q^(9/2) + 2*q^(7/2) + 6*q^(5/2) + 7*q^(3/2) + 9*q^(1/2) - 9*q^(-1/2) - 23*q^(-3/2) - 45*q^(-5/2) - 26*q^(-7/2) - 17*q^(-9/2) + 6*q^(-11/2) - 30*q^(-13/2) - 43*q^(-15/2) - 17*q^(-17/2) + 6*q^(-19/2) + 5*q^(-21/2) - 2*q^(-23/2) - 3*q^(-25/2))*x1^(-5/2)*x2^(-19/2) + (q^(-15/2))*x1^(-7/2)*x2^(-11/2) + (q^(-9/2) + q^(-11/2) + q^(-13/2) + 3*q^(-15/2))*x1^(-7/2)*x2^(-13/2) + (q^(-3/2) + q^(-5/2) + 2*q^(-7/2) + 4*q^(-9/2) + 5*q^(-11/2) + 4*q^(-13/2) + 8*q^(-15/2) + q^(-19/2))*x1^(-7/2)*x2^(-15/2) + (q^(3/2) + q^(1/2) + 2*q^(-1/2) + 5*q^(-3/2) + 5*q^(-5/2) + 8*q^(-7/2) + 13*q^(-9/2) + 14*q^(-11/2) + 12*q^(-13/2) + 17*q^(-15/2) + 3*q^(-17/2) + 4*q^(-19/2) + 2*q^(-21/2))*x1^(-7/2)*x2^(-17/2) + (q^(9/2) + q^(7/2) + 2*q^(5/2) + 4*q^(3/2) + 5*q^(1/2) + 7*q^(-1/2) + 13*q^(-3/2) + 13*q^(-5/2) + 23*q^(-7/2) + 30*q^(-9/2) + 33*q^(-11/2) + 27*q^(-13/2) + 34*q^(-15/2) + 12*q^(-17/2) + 17*q^(-19/2) + 10*q^(-21/2) + 3*q^(-23/2) - q^(-25/2))*x1^(-7/2)*x2^(-19/2) + (-q^(-23/2))*x1^(-9/2)*x2^(-13/2) + (-q^(-15/2) - q^(-17/2) - q^(-19/2) - q^(-21/2) - 3*q^(-23/2))*x1^(-9/2)*x2^(-15/2) + (-q^(-7/2) - q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2) - 5*q^(-15/2) - 5*q^(-17/2) - 5*q^(-19/2) - 5*q^(-21/2) - 8*q^(-23/2) - q^(-27/2))*x1^(-9/2)*x2^(-17/2) + (-q^(1/2) - q^(-1/2) - 2*q^(-3/2) - 3*q^(-5/2) - 6*q^(-7/2) - 7*q^(-9/2) - 10*q^(-11/2) - 10*q^(-13/2) - 18*q^(-15/2) - 17*q^(-17/2) - 16*q^(-19/2) - 16*q^(-21/2) - 20*q^(-23/2) - 3*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2) + q^(-31/2))*x1^(-9/2)*x2^(-19/2) + (q^(-33/2))*x1^(-11/2)*x2^(-15/2) + (q^(-23/2) + q^(-25/2) + q^(-27/2) + q^(-29/2) + q^(-31/2) + 3*q^(-33/2))*x1^(-11/2)*x2^(-17/2) + (q^(-13/2) + q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) + 3*q^(-21/2) + 5*q^(-23/2) + 6*q^(-25/2) + 5*q^(-27/2) + 6*q^(-29/2) + 5*q^(-31/2) + 8*q^(-33/2) + q^(-37/2))*x1^(-11/2)*x2^(-19/2) + (-q^(-45/2))*x1^(-13/2)*x2^(-17/2) + (-q^(-33/2) - q^(-35/2) - q^(-37/2) - q^(-39/2) - q^(-41/2) - q^(-43/2) - 3*q^(-45/2))*x1^(-13/2)*x2^(-19/2) + (q^(-59/2))*x1^(-15/2)*x2^(-19/2)
(-1/2, 3/2) x1^(1/2)x2^(-3/2) q^(-59/2) 
(q^(-59/2))*x1^(15/2)*x2^(11/2) + (-q^(-45/2))*x1^(13/2)*x2^(9/2) + (-2*q^(-45/2) + q^(-47/2) + q^(-49/2) + q^(-51/2) + q^(-53/2) + q^(-55/2) + q^(-57/2))*x1^(13/2)*x2^(7/2) + (q^(-33/2))*x1^(11/2)*x2^(7/2) + (2*q^(-33/2) - q^(-35/2) - q^(-37/2) - q^(-39/2) - q^(-41/2) - q^(-43/2))*x1^(11/2)*x2^(5/2) + (3*q^(-33/2) - 4*q^(-35/2) - 3*q^(-37/2) - 3*q^(-39/2) - 3*q^(-41/2) - 2*q^(-43/2) + q^(-47/2) + q^(-51/2))*x1^(11/2)*x2^(3/2) + (-q^(-23/2))*x1^(9/2)*x2^(5/2) + (-2*q^(-23/2) + q^(-25/2) + q^(-27/2) + q^(-29/2) + q^(-31/2))*x1^(9/2)*x2^(3/2) + (-3*q^(-23/2) + 4*q^(-25/2) + 3*q^(-27/2) + 3*q^(-29/2) + 3*q^(-31/2))*x1^(9/2)*x2^(1/2) + (-q^(-15/2) - q^(-17/2) - q^(-19/2) - 2*q^(-21/2) - 5*q^(-23/2) + 7*q^(-25/2) + 4*q^(-27/2) + 3*q^(-29/2) + 4*q^(-31/2) - 4*q^(-33/2) - 3*q^(-35/2) - 3*q^(-37/2) - 3*q^(-39/2) - 4*q^(-41/2) - 3*q^(-43/2) - 2*q^(-45/2) - q^(-47/2))*x1^(9/2)*x2^(-1/2) + (q^(-15/2))*x1^(7/2)*x2^(3/2) + (2*q^(-15/2) - q^(-17/2) - q^(-19/2) - q^(-21/2))*x1^(7/2)*x2^(1/2) + (3*q^(-15/2) - 4*q^(-17/2) - 3*q^(-19/2) - 3*q^(-21/2) - q^(-23/2) - q^(-27/2))*x1^(7/2)*x2^(-1/2) + (q^(-9/2) + q^(-11/2) + 2*q^(-13/2) + 5*q^(-15/2) - 7*q^(-17/2) - 5*q^(-19/2) - 3*q^(-21/2) + 2*q^(-25/2) - q^(-27/2) + 2*q^(-29/2) + 3*q^(-31/2) + 2*q^(-33/2) + q^(-35/2))*x1^(7/2)*x2^(-3/2) + (2*q^(-9/2) + 4*q^(-11/2) + 5*q^(-13/2) + 6*q^(-15/2) - 14*q^(-17/2) - 8*q^(-19/2) + 2*q^(-21/2) + 5*q^(-23/2) + 6*q^(-25/2) + q^(-27/2) + 9*q^(-29/2) + 13*q^(-31/2) + 14*q^(-33/2) + 7*q^(-35/2) + 3*q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2) + q^(-45/2))*x1^(7/2)*x2^(-5/2) + (-q^(-9/2))*x1^(5/2)*x2^(1/2) + (-2*q^(-9/2) + q^(-11/2) + q^(-13/2))*x1^(5/2)*x2^(-1/2) + (-3*q^(-9/2) + 4*q^(-11/2) + 3*q^(-13/2) + q^(-15/2) + q^(-17/2) + q^(-19/2))*x1^(5/2)*x2^(-3/2) + (-q^(-5/2) - 2*q^(-7/2) - 5*q^(-9/2) + 8*q^(-11/2) + 5*q^(-13/2) - q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) - 2*q^(-23/2) - q^(-25/2))*x1^(5/2)*x2^(-5/2) + (-4*q^(-5/2) - 6*q^(-7/2) - 4*q^(-9/2) + 14*q^(-11/2) + 4*q^(-13/2) - 9*q^(-15/2) + q^(-17/2) + 3*q^(-19/2) - 3*q^(-21/2) - 11*q^(-23/2) - 9*q^(-25/2) - 4*q^(-27/2) - q^(-29/2) - 2*q^(-31/2) - q^(-33/2) - q^(-35/2))*x1^(5/2)*x2^(-7/2) + (q^(-1/2) - 2*q^(-3/2) - 11*q^(-5/2) - 4*q^(-7/2) + 8*q^(-9/2) + 25*q^(-11/2) + q^(-13/2) - 19*q^(-15/2) + 6*q^(-17/2) + 14*q^(-19/2) - 26*q^(-23/2) - 27*q^(-25/2) - 14*q^(-27/2) - q^(-29/2) - 2*q^(-31/2) - 4*q^(-33/2) - 5*q^(-35/2) - q^(-37/2) + q^(-39/2) + 2*q^(-41/2) + q^(-43/2))*x1^(5/2)*x2^(-9/2) + (q^(-5/2))*x1^(3/2)*x2^(-1/2) + (2*q^(-5/2) - q^(-7/2))*x1^(3/2)*x2^(-3/2) + (3*q^(-5/2) - 4*q^(-7/2) - q^(-9/2) - q^(-11/2) - q^(-13/2))*x1^(3/2)*x2^(-5/2) + (2*q^(-3/2) + 4*q^(-5/2) - 8*q^(-7/2) - q^(-9/2) - q^(-11/2) - 4*q^(-13/2) - q^(-15/2) + q^(-17/2))*x1^(3/2)*x2^(-7/2) + (2*q^(-1/2) + 4*q^(-3/2) + 4*q^(-5/2) - 12*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) - 6*q^(-13/2) - 2*q^(-15/2) + 5*q^(-17/2) + 5*q^(-19/2) + q^(-21/2) + q^(-23/2) + q^(-25/2) + q^(-27/2))*x1^(3/2)*x2^(-9/2) + (2*q^(1/2) + 4*q^(-1/2) + 4*q^(-3/2) - 17*q^(-7/2) + 6*q^(-9/2) + 9*q^(-11/2) - 11*q^(-13/2) - 6*q^(-15/2) + 10*q^(-17/2) + 18*q^(-19/2) + 9*q^(-21/2) + 2*q^(-23/2) + 3*q^(-25/2) + 6*q^(-27/2) + 3*q^(-29/2) + q^(-31/2) - q^(-33/2))*x1^(3/2)*x2^(-11/2) + (2*q^(3/2) + 4*q^(1/2) + 4*q^(-1/2) - 6*q^(-5/2) - 22*q^(-7/2) + 11*q^(-9/2) + 12*q^(-11/2) - 24*q^(-13/2) - 21*q^(-15/2) + 7*q^(-17/2) + 33*q^(-19/2) + 21*q^(-21/2) + q^(-23/2) - 6*q^(-25/2) + 6*q^(-27/2) + 9*q^(-29/2) + 5*q^(-31/2) - 5*q^(-33/2) - 6*q^(-35/2) - 5*q^(-37/2) - q^(-39/2) - q^(-41/2) - q^(-43/2) - q^(-45/2) - q^(-47/2))*x1^(3/2)*x2^(-13/2) + (-q^(-3/2))*x1^(1/2)*x2^(-3/2) + (-2*q^(-3/2))*x1^(1/2)*x2^(-5/2) + (-3*q^(-3/2) + 2*q^(-5/2) + q^(-9/2))*x1^(1/2)*x2^(-7/2) + (-4*q^(-3/2) + 4*q^(-5/2) + q^(-7/2) + 2*q^(-9/2) + 2*q^(-11/2))*x1^(1/2)*x2^(-9/2) + (-5*q^(-3/2) + 6*q^(-5/2) + q^(-7/2) + q^(-9/2) + 4*q^(-11/2) + q^(-13/2) - 2*q^(-15/2) - q^(-21/2))*x1^(1/2)*x2^(-11/2) + (-6*q^(-3/2) + 8*q^(-5/2) + q^(-7/2) - q^(-9/2) + 5*q^(-11/2) + q^(-13/2) - 4*q^(-15/2) - 5*q^(-17/2) - q^(-19/2) - 2*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2))*x1^(1/2)*x2^(-13/2) + (-7*q^(-3/2) + 10*q^(-5/2) + q^(-7/2) - 3*q^(-9/2) + 7*q^(-11/2) + 2*q^(-13/2) - 3*q^(-15/2) - 11*q^(-17/2) - 6*q^(-19/2) - 2*q^(-21/2) - 2*q^(-23/2) - 7*q^(-25/2) - 2*q^(-27/2) - q^(-29/2) + 2*q^(-31/2) + q^(-39/2))*x1^(1/2)*x2^(-15/2) + (-8*q^(-3/2) + 12*q^(-5/2) + q^(-7/2) - 5*q^(-9/2) + 9*q^(-11/2) + 4*q^(-13/2) - 14*q^(-17/2) - 10*q^(-19/2) - 4*q^(-21/2) + 4*q^(-23/2) - 5*q^(-25/2) - 6*q^(-27/2) - 3*q^(-29/2) + 6*q^(-31/2) + 5*q^(-33/2) + 5*q^(-35/2) + q^(-37/2) + 2*q^(-39/2) + 2*q^(-41/2) + 2*q^(-43/2) + 2*q^(-45/2))*x1^(1/2)*x2^(-17/2)

Braid

Braid word Components Crossings Strands
[-1, -2, -3, 2, -1, -1, 2, -1, 2, 3, -2, -1] 2 12 4

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(5/2) + 3*A1^(1/2)*A2^(3/2) - 4*A1^(1/2)*A2^(1/2) + 2*A1^(1/2)*A2^(-1/2) - A1^(1/2)*A2^(-3/2) - A1^(-1/2)*A2^(3/2) + 2*A1^(-1/2)*A2^(1/2) - 4*A1^(-1/2)*A2^(-1/2) + 3*A1^(-1/2)*A2^(-3/2) - A1^(-1/2)*A2^(-5/2)

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

Newton Polygon of Alexander-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -5) yes
(1, -3) yes
(1, 5) yes
(-1, 3) yes
Dual Thurston polygon-101-505h1h2

HFL polytope

Poincaré polynomial
m^(-3)*A1^(-1)*A2^(-3) + 4*m^(-2)*A1^(-1)*A2^(-2) + m^(-2)*A2^(-3) + 7*m^(-1)*A1^(-1)*A2^(-1) + 5*m^(-1)*A2^(-2) + 6*A1^(-1) + 10*A2^(-1) + A1*A2^(-2) + 3*m*A1^(-1)*A2 + 12*m + 3*m*A1*A2^(-1) + m^2*A1^(-1)*A2^2 + 10*m^2*A2 + 6*m^2*A1 + 5*m^3*A2^2 + 7*m^3*A1*A2 + m^4*A2^3 + 4*m^4*A1*A2^2 + m^5*A1*A2^3
VertexMaslovRank
(-1, -3)-31
(0, -3)-21
(1, -2)01
(1, 3)51
(0, 3)41
(-1, 2)21
HFL polytope-10105A1A2

Record

FL/HFL Links

orderOption(int) 525
namestring L10n30{0}
statusstring success
slugstring L10n30_0_5de83360
result_filestring details/L10n30_0_5de83360.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 88
wall_secondsOption(float) 0.002455
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 19
vertex_countOption(int) 6
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 10
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 3
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10n30_0_5de83360"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10n30_0_5de83360