details/L8a12_1_a1e3ed15.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(-3/2, 1/2) (1, 1/2) x1^(3/2)x2^(-1/2) q^(-43/2) 
{"0": [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^(3/2)*x2^(-1/2) + (q^(1/2))*x1^(5/2)*x2^(-3/2) + (-q^(3/2))*x1^(5/2)*x2^(-1/2) + (q^(5/2))*x1^(5/2)*x2^(1/2) + (q^(1/2))*x1^(7/2)*x2^(-3/2) + (-2*q^(3/2))*x1^(7/2)*x2^(-1/2) + (q^(7/2) + q^(5/2))*x1^(7/2)*x2^(1/2) + (-q^(9/2))*x1^(7/2)*x2^(3/2) + (-q^(-7/2))*x1^(9/2)*x2^(-7/2) + (q^(-5/2))*x1^(9/2)*x2^(-5/2) + (q^(1/2))*x1^(9/2)*x2^(-3/2) + (-q^(5/2) - 2*q^(3/2))*x1^(9/2)*x2^(-1/2) + (q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(9/2)*x2^(1/2) + (-q^(13/2) - q^(11/2) - q^(9/2))*x1^(9/2)*x2^(3/2) + (q^(15/2))*x1^(9/2)*x2^(5/2) + (q^(-13/2))*x1^(11/2)*x2^(-9/2) + (-q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(11/2)*x2^(-7/2) + (2*q^(-5/2) + q^(-7/2))*x1^(11/2)*x2^(-5/2) + (q^(1/2) - q^(-1/2) - q^(-3/2))*x1^(11/2)*x2^(-3/2) + (-q^(7/2) - q^(5/2) - 2*q^(3/2))*x1^(11/2)*x2^(-1/2) + (2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(11/2)*x2^(1/2) + (-q^(17/2) - q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(11/2)*x2^(3/2) + (q^(21/2) + q^(19/2) + q^(17/2) + q^(15/2))*x1^(11/2)*x2^(5/2) + (-q^(23/2))*x1^(11/2)*x2^(7/2) + (q^(-13/2) + q^(-15/2))*x1^(13/2)*x2^(-9/2) + (-q^(-7/2) - q^(-9/2) - 3*q^(-11/2) - q^(-13/2))*x1^(13/2)*x2^(-7/2) + (q^(-3/2) + 3*q^(-5/2) + 3*q^(-7/2) + 2*q^(-9/2))*x1^(13/2)*x2^(-5/2) + (-3*q^(-1/2) - 2*q^(-3/2) - q^(-5/2))*x1^(13/2)*x2^(-3/2) + (-q^(9/2) - q^(7/2) - q^(3/2) + q^(1/2))*x1^(13/2)*x2^(-1/2) + (q^(15/2) + 2*q^(13/2) + 3*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(13/2)*x2^(1/2) + (-q^(21/2) - 2*q^(19/2) - 3*q^(17/2) - 3*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(13/2)*x2^(3/2) + (q^(27/2) + q^(25/2) + 2*q^(23/2) + 3*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(13/2)*x2^(5/2) + (-q^(31/2) - q^(29/2) - q^(27/2) - q^(25/2) - q^(23/2))*x1^(13/2)*x2^(7/2) + (q^(33/2))*x1^(13/2)*x2^(9/2) + (-q^(-29/2))*x1^(15/2)*x2^(-13/2) + (q^(-25/2) + q^(-27/2))*x1^(15/2)*x2^(-11/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) - q^(-23/2))*x1^(15/2)*x2^(-9/2) + (-q^(-7/2) - 2*q^(-9/2) - 4*q^(-11/2) - 3*q^(-13/2) - q^(-15/2))*x1^(15/2)*x2^(-7/2) + (q^(-1/2) + 2*q^(-3/2) + 5*q^(-5/2) + 6*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2))*x1^(15/2)*x2^(-5/2) + (-2*q^(3/2) - 3*q^(1/2) - 6*q^(-1/2) - 5*q^(-3/2) - 3*q^(-5/2) - q^(-7/2))*x1^(15/2)*x2^(-3/2) + (-q^(11/2) + q^(7/2) + 3*q^(5/2) + q^(3/2) + 2*q^(1/2) + q^(-1/2))*x1^(15/2)*x2^(-1/2) + (q^(19/2) + q^(17/2) + 3*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + q^(9/2) + q^(7/2) + q^(5/2))*x1^(15/2)*x2^(1/2) + (-2*q^(25/2) - 2*q^(23/2) - 4*q^(21/2) - 4*q^(19/2) - 5*q^(17/2) - 3*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(15/2)*x2^(3/2) + (q^(33/2) + q^(31/2) + 3*q^(29/2) + 4*q^(27/2) + 4*q^(25/2) + 4*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(15/2)*x2^(5/2) + (-q^(39/2) - q^(37/2) - 2*q^(35/2) - 2*q^(33/2) - 4*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(15/2)*x2^(7/2) + (q^(43/2) + q^(41/2) + q^(39/2) + q^(37/2) + q^(35/2) + q^(33/2))*x1^(15/2)*x2^(9/2) + (-q^(45/2))*x1^(15/2)*x2^(11/2) + (q^(-39/2))*x1^(17/2)*x2^(-15/2) + (-q^(-29/2) - q^(-31/2) - q^(-33/2) - q^(-35/2) - q^(-37/2))*x1^(17/2)*x2^(-13/2) + (q^(-25/2) + 3*q^(-27/2) + 2*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(17/2)*x2^(-11/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) + q^(-19/2) - q^(-21/2) - 3*q^(-23/2) - 2*q^(-25/2) - q^(-27/2))*x1^(17/2)*x2^(-9/2) + (-2*q^(-7/2) - 3*q^(-9/2) - 5*q^(-11/2) - 4*q^(-13/2) - 3*q^(-15/2) + q^(-19/2) + q^(-21/2))*x1^(17/2)*x2^(-7/2) + (q^(1/2) + 2*q^(-1/2) + 5*q^(-3/2) + 9*q^(-5/2) + 9*q^(-7/2) + 7*q^(-9/2) + 4*q^(-11/2) + 2*q^(-13/2))*x1^(17/2)*x2^(-5/2) + (-q^(7/2) - 3*q^(5/2) - 7*q^(3/2) - 8*q^(1/2) - 12*q^(-1/2) - 9*q^(-3/2) - 6*q^(-5/2) - 3*q^(-7/2) - q^(-9/2))*x1^(17/2)*x2^(-3/2) + (2*q^(11/2) + 5*q^(9/2) + 7*q^(7/2) + 8*q^(5/2) + 5*q^(3/2) + 5*q^(1/2) + 2*q^(-1/2) + q^(-3/2))*x1^(17/2)*x2^(-1/2) + (q^(23/2) + q^(21/2) + q^(19/2) + q^(17/2) + q^(15/2) - 2*q^(13/2) - q^(11/2) - q^(9/2))*x1^(17/2)*x2^(1/2) + (-q^(31/2) - 2*q^(29/2) - 3*q^(27/2) - 5*q^(25/2) - 4*q^(23/2) - 5*q^(21/2) - 5*q^(19/2) - 4*q^(17/2) - 2*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(17/2)*x2^(3/2) + (q^(39/2) + 2*q^(37/2) + 3*q^(35/2) + 5*q^(33/2) + 6*q^(31/2) + 7*q^(29/2) + 7*q^(27/2) + 6*q^(25/2) + 5*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(17/2)*x2^(5/2) + (-q^(47/2) - q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 5*q^(39/2) - 5*q^(37/2) - 6*q^(35/2) - 5*q^(33/2) - 5*q^(31/2) - 3*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(17/2)*x2^(7/2) + (q^(53/2) + q^(51/2) + 2*q^(49/2) + 2*q^(47/2) + 3*q^(45/2) + 4*q^(43/2) + 3*q^(41/2) + 2*q^(39/2) + 2*q^(37/2) + q^(35/2) + q^(33/2))*x1^(17/2)*x2^(9/2) + (-q^(57/2) - q^(55/2) - q^(53/2) - q^(51/2) - q^(49/2) - q^(47/2) - q^(45/2))*x1^(17/2)*x2^(11/2) + (q^(59/2))*x1^(17/2)*x2^(13/2) + (q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(19/2)*x2^(-15/2) + (-q^(-29/2) - q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - 4*q^(-37/2) - 2*q^(-39/2) - q^(-41/2))*x1^(19/2)*x2^(-13/2) + (2*q^(-25/2) + 4*q^(-27/2) + 5*q^(-29/2) + 5*q^(-31/2) + 5*q^(-33/2) + 3*q^(-35/2) + q^(-37/2))*x1^(19/2)*x2^(-11/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) - 2*q^(-21/2) - 7*q^(-23/2) - 6*q^(-25/2) - 6*q^(-27/2) - 3*q^(-29/2) - 2*q^(-31/2))*x1^(19/2)*x2^(-9/2) + (-q^(-5/2) - 3*q^(-7/2) - 4*q^(-9/2) - 6*q^(-11/2) - 5*q^(-13/2) - 2*q^(-15/2) + q^(-17/2) + 4*q^(-19/2) + 4*q^(-21/2) + 2*q^(-23/2) + q^(-25/2))*x1^(19/2)*x2^(-7/2) + (q^(3/2) + 3*q^(1/2) + 6*q^(-1/2) + 10*q^(-3/2) + 13*q^(-5/2) + 13*q^(-7/2) + 9*q^(-9/2) + 6*q^(-11/2) + 2*q^(-13/2) + q^(-15/2) - q^(-17/2))*x1^(19/2)*x2^(-5/2) + (-q^(11/2) - 2*q^(9/2) - 6*q^(7/2) - 11*q^(5/2) - 16*q^(3/2) - 17*q^(1/2) - 19*q^(-1/2) - 15*q^(-3/2) - 10*q^(-5/2) - 6*q^(-7/2) - 3*q^(-9/2) - q^(-11/2))*x1^(19/2)*x2^(-3/2) + (2*q^(17/2) + 3*q^(15/2) + 8*q^(13/2) + 12*q^(11/2) + 16*q^(9/2) + 18*q^(7/2) + 16*q^(5/2) + 11*q^(3/2) + 9*q^(1/2) + 5*q^(-1/2) + 2*q^(-3/2) + q^(-5/2))*x1^(19/2)*x2^(-1/2) + (q^(27/2) - 3*q^(21/2) - 4*q^(19/2) - 7*q^(17/2) - 8*q^(15/2) - 9*q^(13/2) - 7*q^(11/2) - 5*q^(9/2) - 2*q^(7/2) - q^(5/2) - q^(3/2))*x1^(19/2)*x2^(1/2) + (-q^(37/2) - q^(35/2) - 3*q^(33/2) - 3*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - 4*q^(25/2) - q^(23/2) - 3*q^(21/2) - 2*q^(19/2) - 2*q^(17/2) - q^(15/2) - 2*q^(13/2) - q^(11/2) - q^(9/2))*x1^(19/2)*x2^(3/2) + (2*q^(45/2) + 2*q^(43/2) + 4*q^(41/2) + 6*q^(39/2) + 8*q^(37/2) + 8*q^(35/2) + 10*q^(33/2) + 9*q^(31/2) + 9*q^(29/2) + 8*q^(27/2) + 6*q^(25/2) + 5*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(19/2)*x2^(5/2) + (-q^(55/2) - q^(53/2) - 3*q^(51/2) - 4*q^(49/2) - 7*q^(47/2) - 7*q^(45/2) - 10*q^(43/2) - 10*q^(41/2) - 11*q^(39/2) - 9*q^(37/2) - 9*q^(35/2) - 6*q^(33/2) - 6*q^(31/2) - 3*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(19/2)*x2^(7/2) + (q^(63/2) + q^(61/2) + 2*q^(59/2) + 3*q^(57/2) + 5*q^(55/2) + 6*q^(53/2) + 7*q^(51/2) + 7*q^(49/2) + 7*q^(47/2) + 7*q^(45/2) + 6*q^(43/2) + 4*q^(41/2) + 3*q^(39/2) + 2*q^(37/2) + q^(35/2) + q^(33/2))*x1^(19/2)*x2^(9/2) + (-q^(69/2) - q^(67/2) - 2*q^(65/2) - 2*q^(63/2) - 3*q^(61/2) - 3*q^(59/2) - 5*q^(57/2) - 3*q^(55/2) - 3*q^(53/2) - 2*q^(51/2) - 2*q^(49/2) - q^(47/2) - q^(45/2))*x1^(19/2)*x2^(11/2) + (q^(73/2) + q^(71/2) + q^(69/2) + q^(67/2) + q^(65/2) + q^(63/2) + q^(61/2) + q^(59/2))*x1^(19/2)*x2^(13/2) + (-q^(75/2))*x1^(19/2)*x2^(15/2)
(1/2, -3/2) (1/2, 1) x1^(-1/2)x2^(3/2) q^(-43/2) 
{"0": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "1": [1, 1, 1, 1, 1, 1, 1, 1]}
 
(q^(-39/2))*x1^(-15/2)*x2^(17/2) + (q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(-15/2)*x2^(19/2) + (-q^(-29/2))*x1^(-13/2)*x2^(15/2) + (-q^(-29/2) - q^(-31/2) - q^(-33/2) - q^(-35/2) - q^(-37/2))*x1^(-13/2)*x2^(17/2) + (-q^(-29/2) - q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - 4*q^(-37/2) - 2*q^(-39/2) - q^(-41/2))*x1^(-13/2)*x2^(19/2) + (q^(-25/2) + q^(-27/2))*x1^(-11/2)*x2^(15/2) + (q^(-25/2) + 3*q^(-27/2) + 2*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(-11/2)*x2^(17/2) + (2*q^(-25/2) + 4*q^(-27/2) + 5*q^(-29/2) + 5*q^(-31/2) + 5*q^(-33/2) + 3*q^(-35/2) + q^(-37/2))*x1^(-11/2)*x2^(19/2) + (q^(-13/2))*x1^(-9/2)*x2^(11/2) + (q^(-13/2) + q^(-15/2))*x1^(-9/2)*x2^(13/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) - q^(-23/2))*x1^(-9/2)*x2^(15/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) + q^(-19/2) - q^(-21/2) - 3*q^(-23/2) - 2*q^(-25/2) - q^(-27/2))*x1^(-9/2)*x2^(17/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) - 2*q^(-21/2) - 7*q^(-23/2) - 6*q^(-25/2) - 6*q^(-27/2) - 3*q^(-29/2) - 2*q^(-31/2))*x1^(-9/2)*x2^(19/2) + (-q^(-7/2))*x1^(-7/2)*x2^(9/2) + (-q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(-7/2)*x2^(11/2) + (-q^(-7/2) - q^(-9/2) - 3*q^(-11/2) - q^(-13/2))*x1^(-7/2)*x2^(13/2) + (-q^(-7/2) - 2*q^(-9/2) - 4*q^(-11/2) - 3*q^(-13/2) - q^(-15/2))*x1^(-7/2)*x2^(15/2) + (-2*q^(-7/2) - 3*q^(-9/2) - 5*q^(-11/2) - 4*q^(-13/2) - 3*q^(-15/2) + q^(-19/2) + q^(-21/2))*x1^(-7/2)*x2^(17/2) + (-q^(-5/2) - 3*q^(-7/2) - 4*q^(-9/2) - 6*q^(-11/2) - 5*q^(-13/2) - 2*q^(-15/2) + q^(-17/2) + 4*q^(-19/2) + 4*q^(-21/2) + 2*q^(-23/2) + q^(-25/2))*x1^(-7/2)*x2^(19/2) + (q^(-5/2))*x1^(-5/2)*x2^(9/2) + (2*q^(-5/2) + q^(-7/2))*x1^(-5/2)*x2^(11/2) + (q^(-3/2) + 3*q^(-5/2) + 3*q^(-7/2) + 2*q^(-9/2))*x1^(-5/2)*x2^(13/2) + (q^(-1/2) + 2*q^(-3/2) + 5*q^(-5/2) + 6*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2))*x1^(-5/2)*x2^(15/2) + (q^(1/2) + 2*q^(-1/2) + 5*q^(-3/2) + 9*q^(-5/2) + 9*q^(-7/2) + 7*q^(-9/2) + 4*q^(-11/2) + 2*q^(-13/2))*x1^(-5/2)*x2^(17/2) + (q^(3/2) + 3*q^(1/2) + 6*q^(-1/2) + 10*q^(-3/2) + 13*q^(-5/2) + 13*q^(-7/2) + 9*q^(-9/2) + 6*q^(-11/2) + 2*q^(-13/2) + q^(-15/2) - q^(-17/2))*x1^(-5/2)*x2^(19/2) + (q^(1/2))*x1^(-3/2)*x2^(5/2) + (q^(1/2))*x1^(-3/2)*x2^(7/2) + (q^(1/2))*x1^(-3/2)*x2^(9/2) + (q^(1/2) - q^(-1/2) - q^(-3/2))*x1^(-3/2)*x2^(11/2) + (-3*q^(-1/2) - 2*q^(-3/2) - q^(-5/2))*x1^(-3/2)*x2^(13/2) + (-2*q^(3/2) - 3*q^(1/2) - 6*q^(-1/2) - 5*q^(-3/2) - 3*q^(-5/2) - q^(-7/2))*x1^(-3/2)*x2^(15/2) + (-q^(7/2) - 3*q^(5/2) - 7*q^(3/2) - 8*q^(1/2) - 12*q^(-1/2) - 9*q^(-3/2) - 6*q^(-5/2) - 3*q^(-7/2) - q^(-9/2))*x1^(-3/2)*x2^(17/2) + (-q^(11/2) - 2*q^(9/2) - 6*q^(7/2) - 11*q^(5/2) - 16*q^(3/2) - 17*q^(1/2) - 19*q^(-1/2) - 15*q^(-3/2) - 10*q^(-5/2) - 6*q^(-7/2) - 3*q^(-9/2) - q^(-11/2))*x1^(-3/2)*x2^(19/2) + (-q^(3/2))*x1^(-1/2)*x2^(3/2) + (-q^(3/2))*x1^(-1/2)*x2^(5/2) + (-2*q^(3/2))*x1^(-1/2)*x2^(7/2) + (-q^(5/2) - 2*q^(3/2))*x1^(-1/2)*x2^(9/2) + (-q^(7/2) - q^(5/2) - 2*q^(3/2))*x1^(-1/2)*x2^(11/2) + (-q^(9/2) - q^(7/2) - q^(3/2) + q^(1/2))*x1^(-1/2)*x2^(13/2) + (-q^(11/2) + q^(7/2) + 3*q^(5/2) + q^(3/2) + 2*q^(1/2) + q^(-1/2))*x1^(-1/2)*x2^(15/2) + (2*q^(11/2) + 5*q^(9/2) + 7*q^(7/2) + 8*q^(5/2) + 5*q^(3/2) + 5*q^(1/2) + 2*q^(-1/2) + q^(-3/2))*x1^(-1/2)*x2^(17/2) + (2*q^(17/2) + 3*q^(15/2) + 8*q^(13/2) + 12*q^(11/2) + 16*q^(9/2) + 18*q^(7/2) + 16*q^(5/2) + 11*q^(3/2) + 9*q^(1/2) + 5*q^(-1/2) + 2*q^(-3/2) + q^(-5/2))*x1^(-1/2)*x2^(19/2) + (q^(5/2))*x1^(1/2)*x2^(5/2) + (q^(7/2) + q^(5/2))*x1^(1/2)*x2^(7/2) + (q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(1/2)*x2^(9/2) + (2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(1/2)*x2^(11/2) + (q^(15/2) + 2*q^(13/2) + 3*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(1/2)*x2^(13/2) + (q^(19/2) + q^(17/2) + 3*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + q^(9/2) + q^(7/2) + q^(5/2))*x1^(1/2)*x2^(15/2) + (q^(23/2) + q^(21/2) + q^(19/2) + q^(17/2) + q^(15/2) - 2*q^(13/2) - q^(11/2) - q^(9/2))*x1^(1/2)*x2^(17/2) + (q^(27/2) - 3*q^(21/2) - 4*q^(19/2) - 7*q^(17/2) - 8*q^(15/2) - 9*q^(13/2) - 7*q^(11/2) - 5*q^(9/2) - 2*q^(7/2) - q^(5/2) - q^(3/2))*x1^(1/2)*x2^(19/2) + (-q^(9/2))*x1^(3/2)*x2^(7/2) + (-q^(13/2) - q^(11/2) - q^(9/2))*x1^(3/2)*x2^(9/2) + (-q^(17/2) - q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(3/2)*x2^(11/2) + (-q^(21/2) - 2*q^(19/2) - 3*q^(17/2) - 3*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(3/2)*x2^(13/2) + (-2*q^(25/2) - 2*q^(23/2) - 4*q^(21/2) - 4*q^(19/2) - 5*q^(17/2) - 3*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(3/2)*x2^(15/2) + (-q^(31/2) - 2*q^(29/2) - 3*q^(27/2) - 5*q^(25/2) - 4*q^(23/2) - 5*q^(21/2) - 5*q^(19/2) - 4*q^(17/2) - 2*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(3/2)*x2^(17/2) + (-q^(37/2) - q^(35/2) - 3*q^(33/2) - 3*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - 4*q^(25/2) - q^(23/2) - 3*q^(21/2) - 2*q^(19/2) - 2*q^(17/2) - q^(15/2) - 2*q^(13/2) - q^(11/2) - q^(9/2))*x1^(3/2)*x2^(19/2) + (q^(15/2))*x1^(5/2)*x2^(9/2) + (q^(21/2) + q^(19/2) + q^(17/2) + q^(15/2))*x1^(5/2)*x2^(11/2) + (q^(27/2) + q^(25/2) + 2*q^(23/2) + 3*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(5/2)*x2^(13/2) + (q^(33/2) + q^(31/2) + 3*q^(29/2) + 4*q^(27/2) + 4*q^(25/2) + 4*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(5/2)*x2^(15/2) + (q^(39/2) + 2*q^(37/2) + 3*q^(35/2) + 5*q^(33/2) + 6*q^(31/2) + 7*q^(29/2) + 7*q^(27/2) + 6*q^(25/2) + 5*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(5/2)*x2^(17/2) + (2*q^(45/2) + 2*q^(43/2) + 4*q^(41/2) + 6*q^(39/2) + 8*q^(37/2) + 8*q^(35/2) + 10*q^(33/2) + 9*q^(31/2) + 9*q^(29/2) + 8*q^(27/2) + 6*q^(25/2) + 5*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(5/2)*x2^(19/2) + (-q^(23/2))*x1^(7/2)*x2^(11/2) + (-q^(31/2) - q^(29/2) - q^(27/2) - q^(25/2) - q^(23/2))*x1^(7/2)*x2^(13/2) + (-q^(39/2) - q^(37/2) - 2*q^(35/2) - 2*q^(33/2) - 4*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(7/2)*x2^(15/2) + (-q^(47/2) - q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 5*q^(39/2) - 5*q^(37/2) - 6*q^(35/2) - 5*q^(33/2) - 5*q^(31/2) - 3*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(7/2)*x2^(17/2) + (-q^(55/2) - q^(53/2) - 3*q^(51/2) - 4*q^(49/2) - 7*q^(47/2) - 7*q^(45/2) - 10*q^(43/2) - 10*q^(41/2) - 11*q^(39/2) - 9*q^(37/2) - 9*q^(35/2) - 6*q^(33/2) - 6*q^(31/2) - 3*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(7/2)*x2^(19/2) + (q^(33/2))*x1^(9/2)*x2^(13/2) + (q^(43/2) + q^(41/2) + q^(39/2) + q^(37/2) + q^(35/2) + q^(33/2))*x1^(9/2)*x2^(15/2) + (q^(53/2) + q^(51/2) + 2*q^(49/2) + 2*q^(47/2) + 3*q^(45/2) + 4*q^(43/2) + 3*q^(41/2) + 2*q^(39/2) + 2*q^(37/2) + q^(35/2) + q^(33/2))*x1^(9/2)*x2^(17/2) + (q^(63/2) + q^(61/2) + 2*q^(59/2) + 3*q^(57/2) + 5*q^(55/2) + 6*q^(53/2) + 7*q^(51/2) + 7*q^(49/2) + 7*q^(47/2) + 7*q^(45/2) + 6*q^(43/2) + 4*q^(41/2) + 3*q^(39/2) + 2*q^(37/2) + q^(35/2) + q^(33/2))*x1^(9/2)*x2^(19/2) + (-q^(45/2))*x1^(11/2)*x2^(15/2) + (-q^(57/2) - q^(55/2) - q^(53/2) - q^(51/2) - q^(49/2) - q^(47/2) - q^(45/2))*x1^(11/2)*x2^(17/2) + (-q^(69/2) - q^(67/2) - 2*q^(65/2) - 2*q^(63/2) - 3*q^(61/2) - 3*q^(59/2) - 5*q^(57/2) - 3*q^(55/2) - 3*q^(53/2) - 2*q^(51/2) - 2*q^(49/2) - q^(47/2) - q^(45/2))*x1^(11/2)*x2^(19/2) + (q^(59/2))*x1^(13/2)*x2^(17/2) + (q^(73/2) + q^(71/2) + q^(69/2) + q^(67/2) + q^(65/2) + q^(63/2) + q^(61/2) + q^(59/2))*x1^(13/2)*x2^(19/2) + (-q^(75/2))*x1^(15/2)*x2^(19/2)
(3/2, -1/2) x1^(-3/2)x2^(1/2) q^(-43/2) 
(-q^(3/2))*x1^(-3/2)*x2^(1/2) + (q^(1/2))*x1^(-5/2)*x2^(3/2) + (-q^(3/2))*x1^(-5/2)*x2^(1/2) + (q^(5/2))*x1^(-5/2)*x2^(-1/2) + (q^(1/2))*x1^(-7/2)*x2^(3/2) + (-2*q^(3/2))*x1^(-7/2)*x2^(1/2) + (q^(7/2) + q^(5/2))*x1^(-7/2)*x2^(-1/2) + (-q^(9/2))*x1^(-7/2)*x2^(-3/2) + (-q^(-7/2))*x1^(-9/2)*x2^(7/2) + (q^(-5/2))*x1^(-9/2)*x2^(5/2) + (q^(1/2))*x1^(-9/2)*x2^(3/2) + (-q^(5/2) - 2*q^(3/2))*x1^(-9/2)*x2^(1/2) + (q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(-9/2)*x2^(-1/2) + (-q^(13/2) - q^(11/2) - q^(9/2))*x1^(-9/2)*x2^(-3/2) + (q^(15/2))*x1^(-9/2)*x2^(-5/2) + (q^(-13/2))*x1^(-11/2)*x2^(9/2) + (-q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(-11/2)*x2^(7/2) + (2*q^(-5/2) + q^(-7/2))*x1^(-11/2)*x2^(5/2) + (q^(1/2) - q^(-1/2) - q^(-3/2))*x1^(-11/2)*x2^(3/2) + (-q^(7/2) - q^(5/2) - 2*q^(3/2))*x1^(-11/2)*x2^(1/2) + (2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(-11/2)*x2^(-1/2) + (-q^(17/2) - q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-11/2)*x2^(-3/2) + (q^(21/2) + q^(19/2) + q^(17/2) + q^(15/2))*x1^(-11/2)*x2^(-5/2) + (-q^(23/2))*x1^(-11/2)*x2^(-7/2) + (q^(-13/2) + q^(-15/2))*x1^(-13/2)*x2^(9/2) + (-q^(-7/2) - q^(-9/2) - 3*q^(-11/2) - q^(-13/2))*x1^(-13/2)*x2^(7/2) + (q^(-3/2) + 3*q^(-5/2) + 3*q^(-7/2) + 2*q^(-9/2))*x1^(-13/2)*x2^(5/2) + (-3*q^(-1/2) - 2*q^(-3/2) - q^(-5/2))*x1^(-13/2)*x2^(3/2) + (-q^(9/2) - q^(7/2) - q^(3/2) + q^(1/2))*x1^(-13/2)*x2^(1/2) + (q^(15/2) + 2*q^(13/2) + 3*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(-13/2)*x2^(-1/2) + (-q^(21/2) - 2*q^(19/2) - 3*q^(17/2) - 3*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-13/2)*x2^(-3/2) + (q^(27/2) + q^(25/2) + 2*q^(23/2) + 3*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(-13/2)*x2^(-5/2) + (-q^(31/2) - q^(29/2) - q^(27/2) - q^(25/2) - q^(23/2))*x1^(-13/2)*x2^(-7/2) + (q^(33/2))*x1^(-13/2)*x2^(-9/2) + (-q^(-29/2))*x1^(-15/2)*x2^(13/2) + (q^(-25/2) + q^(-27/2))*x1^(-15/2)*x2^(11/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) - q^(-23/2))*x1^(-15/2)*x2^(9/2) + (-q^(-7/2) - 2*q^(-9/2) - 4*q^(-11/2) - 3*q^(-13/2) - q^(-15/2))*x1^(-15/2)*x2^(7/2) + (q^(-1/2) + 2*q^(-3/2) + 5*q^(-5/2) + 6*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2))*x1^(-15/2)*x2^(5/2) + (-2*q^(3/2) - 3*q^(1/2) - 6*q^(-1/2) - 5*q^(-3/2) - 3*q^(-5/2) - q^(-7/2))*x1^(-15/2)*x2^(3/2) + (-q^(11/2) + q^(7/2) + 3*q^(5/2) + q^(3/2) + 2*q^(1/2) + q^(-1/2))*x1^(-15/2)*x2^(1/2) + (q^(19/2) + q^(17/2) + 3*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + q^(9/2) + q^(7/2) + q^(5/2))*x1^(-15/2)*x2^(-1/2) + (-2*q^(25/2) - 2*q^(23/2) - 4*q^(21/2) - 4*q^(19/2) - 5*q^(17/2) - 3*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-15/2)*x2^(-3/2) + (q^(33/2) + q^(31/2) + 3*q^(29/2) + 4*q^(27/2) + 4*q^(25/2) + 4*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(-15/2)*x2^(-5/2) + (-q^(39/2) - q^(37/2) - 2*q^(35/2) - 2*q^(33/2) - 4*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(-15/2)*x2^(-7/2) + (q^(43/2) + q^(41/2) + q^(39/2) + q^(37/2) + q^(35/2) + q^(33/2))*x1^(-15/2)*x2^(-9/2) + (-q^(45/2))*x1^(-15/2)*x2^(-11/2) + (q^(-39/2))*x1^(-17/2)*x2^(15/2) + (-q^(-29/2) - q^(-31/2) - q^(-33/2) - q^(-35/2) - q^(-37/2))*x1^(-17/2)*x2^(13/2) + (q^(-25/2) + 3*q^(-27/2) + 2*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(-17/2)*x2^(11/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) + q^(-19/2) - q^(-21/2) - 3*q^(-23/2) - 2*q^(-25/2) - q^(-27/2))*x1^(-17/2)*x2^(9/2) + (-2*q^(-7/2) - 3*q^(-9/2) - 5*q^(-11/2) - 4*q^(-13/2) - 3*q^(-15/2) + q^(-19/2) + q^(-21/2))*x1^(-17/2)*x2^(7/2) + (q^(1/2) + 2*q^(-1/2) + 5*q^(-3/2) + 9*q^(-5/2) + 9*q^(-7/2) + 7*q^(-9/2) + 4*q^(-11/2) + 2*q^(-13/2))*x1^(-17/2)*x2^(5/2) + (-q^(7/2) - 3*q^(5/2) - 7*q^(3/2) - 8*q^(1/2) - 12*q^(-1/2) - 9*q^(-3/2) - 6*q^(-5/2) - 3*q^(-7/2) - q^(-9/2))*x1^(-17/2)*x2^(3/2) + (2*q^(11/2) + 5*q^(9/2) + 7*q^(7/2) + 8*q^(5/2) + 5*q^(3/2) + 5*q^(1/2) + 2*q^(-1/2) + q^(-3/2))*x1^(-17/2)*x2^(1/2) + (q^(23/2) + q^(21/2) + q^(19/2) + q^(17/2) + q^(15/2) - 2*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-17/2)*x2^(-1/2) + (-q^(31/2) - 2*q^(29/2) - 3*q^(27/2) - 5*q^(25/2) - 4*q^(23/2) - 5*q^(21/2) - 5*q^(19/2) - 4*q^(17/2) - 2*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-17/2)*x2^(-3/2) + (q^(39/2) + 2*q^(37/2) + 3*q^(35/2) + 5*q^(33/2) + 6*q^(31/2) + 7*q^(29/2) + 7*q^(27/2) + 6*q^(25/2) + 5*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(-17/2)*x2^(-5/2) + (-q^(47/2) - q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 5*q^(39/2) - 5*q^(37/2) - 6*q^(35/2) - 5*q^(33/2) - 5*q^(31/2) - 3*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(-17/2)*x2^(-7/2) + (q^(53/2) + q^(51/2) + 2*q^(49/2) + 2*q^(47/2) + 3*q^(45/2) + 4*q^(43/2) + 3*q^(41/2) + 2*q^(39/2) + 2*q^(37/2) + q^(35/2) + q^(33/2))*x1^(-17/2)*x2^(-9/2) + (-q^(57/2) - q^(55/2) - q^(53/2) - q^(51/2) - q^(49/2) - q^(47/2) - q^(45/2))*x1^(-17/2)*x2^(-11/2) + (q^(59/2))*x1^(-17/2)*x2^(-13/2) + (q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(-19/2)*x2^(15/2) + (-q^(-29/2) - q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - 4*q^(-37/2) - 2*q^(-39/2) - q^(-41/2))*x1^(-19/2)*x2^(13/2) + (2*q^(-25/2) + 4*q^(-27/2) + 5*q^(-29/2) + 5*q^(-31/2) + 5*q^(-33/2) + 3*q^(-35/2) + q^(-37/2))*x1^(-19/2)*x2^(11/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) - 2*q^(-21/2) - 7*q^(-23/2) - 6*q^(-25/2) - 6*q^(-27/2) - 3*q^(-29/2) - 2*q^(-31/2))*x1^(-19/2)*x2^(9/2) + (-q^(-5/2) - 3*q^(-7/2) - 4*q^(-9/2) - 6*q^(-11/2) - 5*q^(-13/2) - 2*q^(-15/2) + q^(-17/2) + 4*q^(-19/2) + 4*q^(-21/2) + 2*q^(-23/2) + q^(-25/2))*x1^(-19/2)*x2^(7/2) + (q^(3/2) + 3*q^(1/2) + 6*q^(-1/2) + 10*q^(-3/2) + 13*q^(-5/2) + 13*q^(-7/2) + 9*q^(-9/2) + 6*q^(-11/2) + 2*q^(-13/2) + q^(-15/2) - q^(-17/2))*x1^(-19/2)*x2^(5/2) + (-q^(11/2) - 2*q^(9/2) - 6*q^(7/2) - 11*q^(5/2) - 16*q^(3/2) - 17*q^(1/2) - 19*q^(-1/2) - 15*q^(-3/2) - 10*q^(-5/2) - 6*q^(-7/2) - 3*q^(-9/2) - q^(-11/2))*x1^(-19/2)*x2^(3/2) + (2*q^(17/2) + 3*q^(15/2) + 8*q^(13/2) + 12*q^(11/2) + 16*q^(9/2) + 18*q^(7/2) + 16*q^(5/2) + 11*q^(3/2) + 9*q^(1/2) + 5*q^(-1/2) + 2*q^(-3/2) + q^(-5/2))*x1^(-19/2)*x2^(1/2) + (q^(27/2) - 3*q^(21/2) - 4*q^(19/2) - 7*q^(17/2) - 8*q^(15/2) - 9*q^(13/2) - 7*q^(11/2) - 5*q^(9/2) - 2*q^(7/2) - q^(5/2) - q^(3/2))*x1^(-19/2)*x2^(-1/2) + (-q^(37/2) - q^(35/2) - 3*q^(33/2) - 3*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - 4*q^(25/2) - q^(23/2) - 3*q^(21/2) - 2*q^(19/2) - 2*q^(17/2) - q^(15/2) - 2*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-19/2)*x2^(-3/2) + (2*q^(45/2) + 2*q^(43/2) + 4*q^(41/2) + 6*q^(39/2) + 8*q^(37/2) + 8*q^(35/2) + 10*q^(33/2) + 9*q^(31/2) + 9*q^(29/2) + 8*q^(27/2) + 6*q^(25/2) + 5*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(-19/2)*x2^(-5/2) + (-q^(55/2) - q^(53/2) - 3*q^(51/2) - 4*q^(49/2) - 7*q^(47/2) - 7*q^(45/2) - 10*q^(43/2) - 10*q^(41/2) - 11*q^(39/2) - 9*q^(37/2) - 9*q^(35/2) - 6*q^(33/2) - 6*q^(31/2) - 3*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(-19/2)*x2^(-7/2) + (q^(63/2) + q^(61/2) + 2*q^(59/2) + 3*q^(57/2) + 5*q^(55/2) + 6*q^(53/2) + 7*q^(51/2) + 7*q^(49/2) + 7*q^(47/2) + 7*q^(45/2) + 6*q^(43/2) + 4*q^(41/2) + 3*q^(39/2) + 2*q^(37/2) + q^(35/2) + q^(33/2))*x1^(-19/2)*x2^(-9/2) + (-q^(69/2) - q^(67/2) - 2*q^(65/2) - 2*q^(63/2) - 3*q^(61/2) - 3*q^(59/2) - 5*q^(57/2) - 3*q^(55/2) - 3*q^(53/2) - 2*q^(51/2) - 2*q^(49/2) - q^(47/2) - q^(45/2))*x1^(-19/2)*x2^(-11/2) + (q^(73/2) + q^(71/2) + q^(69/2) + q^(67/2) + q^(65/2) + q^(63/2) + q^(61/2) + q^(59/2))*x1^(-19/2)*x2^(-13/2) + (-q^(75/2))*x1^(-19/2)*x2^(-15/2)
(-1/2, 3/2) x1^(1/2)x2^(-3/2) q^(-43/2) 
(q^(-39/2))*x1^(15/2)*x2^(-17/2) + (q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(15/2)*x2^(-19/2) + (-q^(-29/2))*x1^(13/2)*x2^(-15/2) + (-q^(-29/2) - q^(-31/2) - q^(-33/2) - q^(-35/2) - q^(-37/2))*x1^(13/2)*x2^(-17/2) + (-q^(-29/2) - q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - 4*q^(-37/2) - 2*q^(-39/2) - q^(-41/2))*x1^(13/2)*x2^(-19/2) + (q^(-25/2) + q^(-27/2))*x1^(11/2)*x2^(-15/2) + (q^(-25/2) + 3*q^(-27/2) + 2*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(11/2)*x2^(-17/2) + (2*q^(-25/2) + 4*q^(-27/2) + 5*q^(-29/2) + 5*q^(-31/2) + 5*q^(-33/2) + 3*q^(-35/2) + q^(-37/2))*x1^(11/2)*x2^(-19/2) + (q^(-13/2))*x1^(9/2)*x2^(-11/2) + (q^(-13/2) + q^(-15/2))*x1^(9/2)*x2^(-13/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) - q^(-23/2))*x1^(9/2)*x2^(-15/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) + q^(-19/2) - q^(-21/2) - 3*q^(-23/2) - 2*q^(-25/2) - q^(-27/2))*x1^(9/2)*x2^(-17/2) + (q^(-13/2) + q^(-15/2) + q^(-17/2) - 2*q^(-21/2) - 7*q^(-23/2) - 6*q^(-25/2) - 6*q^(-27/2) - 3*q^(-29/2) - 2*q^(-31/2))*x1^(9/2)*x2^(-19/2) + (-q^(-7/2))*x1^(7/2)*x2^(-9/2) + (-q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(7/2)*x2^(-11/2) + (-q^(-7/2) - q^(-9/2) - 3*q^(-11/2) - q^(-13/2))*x1^(7/2)*x2^(-13/2) + (-q^(-7/2) - 2*q^(-9/2) - 4*q^(-11/2) - 3*q^(-13/2) - q^(-15/2))*x1^(7/2)*x2^(-15/2) + (-2*q^(-7/2) - 3*q^(-9/2) - 5*q^(-11/2) - 4*q^(-13/2) - 3*q^(-15/2) + q^(-19/2) + q^(-21/2))*x1^(7/2)*x2^(-17/2) + (-q^(-5/2) - 3*q^(-7/2) - 4*q^(-9/2) - 6*q^(-11/2) - 5*q^(-13/2) - 2*q^(-15/2) + q^(-17/2) + 4*q^(-19/2) + 4*q^(-21/2) + 2*q^(-23/2) + q^(-25/2))*x1^(7/2)*x2^(-19/2) + (q^(-5/2))*x1^(5/2)*x2^(-9/2) + (2*q^(-5/2) + q^(-7/2))*x1^(5/2)*x2^(-11/2) + (q^(-3/2) + 3*q^(-5/2) + 3*q^(-7/2) + 2*q^(-9/2))*x1^(5/2)*x2^(-13/2) + (q^(-1/2) + 2*q^(-3/2) + 5*q^(-5/2) + 6*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2))*x1^(5/2)*x2^(-15/2) + (q^(1/2) + 2*q^(-1/2) + 5*q^(-3/2) + 9*q^(-5/2) + 9*q^(-7/2) + 7*q^(-9/2) + 4*q^(-11/2) + 2*q^(-13/2))*x1^(5/2)*x2^(-17/2) + (q^(3/2) + 3*q^(1/2) + 6*q^(-1/2) + 10*q^(-3/2) + 13*q^(-5/2) + 13*q^(-7/2) + 9*q^(-9/2) + 6*q^(-11/2) + 2*q^(-13/2) + q^(-15/2) - q^(-17/2))*x1^(5/2)*x2^(-19/2) + (q^(1/2))*x1^(3/2)*x2^(-5/2) + (q^(1/2))*x1^(3/2)*x2^(-7/2) + (q^(1/2))*x1^(3/2)*x2^(-9/2) + (q^(1/2) - q^(-1/2) - q^(-3/2))*x1^(3/2)*x2^(-11/2) + (-3*q^(-1/2) - 2*q^(-3/2) - q^(-5/2))*x1^(3/2)*x2^(-13/2) + (-2*q^(3/2) - 3*q^(1/2) - 6*q^(-1/2) - 5*q^(-3/2) - 3*q^(-5/2) - q^(-7/2))*x1^(3/2)*x2^(-15/2) + (-q^(7/2) - 3*q^(5/2) - 7*q^(3/2) - 8*q^(1/2) - 12*q^(-1/2) - 9*q^(-3/2) - 6*q^(-5/2) - 3*q^(-7/2) - q^(-9/2))*x1^(3/2)*x2^(-17/2) + (-q^(11/2) - 2*q^(9/2) - 6*q^(7/2) - 11*q^(5/2) - 16*q^(3/2) - 17*q^(1/2) - 19*q^(-1/2) - 15*q^(-3/2) - 10*q^(-5/2) - 6*q^(-7/2) - 3*q^(-9/2) - q^(-11/2))*x1^(3/2)*x2^(-19/2) + (-q^(3/2))*x1^(1/2)*x2^(-3/2) + (-q^(3/2))*x1^(1/2)*x2^(-5/2) + (-2*q^(3/2))*x1^(1/2)*x2^(-7/2) + (-q^(5/2) - 2*q^(3/2))*x1^(1/2)*x2^(-9/2) + (-q^(7/2) - q^(5/2) - 2*q^(3/2))*x1^(1/2)*x2^(-11/2) + (-q^(9/2) - q^(7/2) - q^(3/2) + q^(1/2))*x1^(1/2)*x2^(-13/2) + (-q^(11/2) + q^(7/2) + 3*q^(5/2) + q^(3/2) + 2*q^(1/2) + q^(-1/2))*x1^(1/2)*x2^(-15/2) + (2*q^(11/2) + 5*q^(9/2) + 7*q^(7/2) + 8*q^(5/2) + 5*q^(3/2) + 5*q^(1/2) + 2*q^(-1/2) + q^(-3/2))*x1^(1/2)*x2^(-17/2) + (2*q^(17/2) + 3*q^(15/2) + 8*q^(13/2) + 12*q^(11/2) + 16*q^(9/2) + 18*q^(7/2) + 16*q^(5/2) + 11*q^(3/2) + 9*q^(1/2) + 5*q^(-1/2) + 2*q^(-3/2) + q^(-5/2))*x1^(1/2)*x2^(-19/2) + (q^(5/2))*x1^(-1/2)*x2^(-5/2) + (q^(7/2) + q^(5/2))*x1^(-1/2)*x2^(-7/2) + (q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(-1/2)*x2^(-9/2) + (2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(-1/2)*x2^(-11/2) + (q^(15/2) + 2*q^(13/2) + 3*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(-1/2)*x2^(-13/2) + (q^(19/2) + q^(17/2) + 3*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + q^(9/2) + q^(7/2) + q^(5/2))*x1^(-1/2)*x2^(-15/2) + (q^(23/2) + q^(21/2) + q^(19/2) + q^(17/2) + q^(15/2) - 2*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-1/2)*x2^(-17/2) + (q^(27/2) - 3*q^(21/2) - 4*q^(19/2) - 7*q^(17/2) - 8*q^(15/2) - 9*q^(13/2) - 7*q^(11/2) - 5*q^(9/2) - 2*q^(7/2) - q^(5/2) - q^(3/2))*x1^(-1/2)*x2^(-19/2) + (-q^(9/2))*x1^(-3/2)*x2^(-7/2) + (-q^(13/2) - q^(11/2) - q^(9/2))*x1^(-3/2)*x2^(-9/2) + (-q^(17/2) - q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-3/2)*x2^(-11/2) + (-q^(21/2) - 2*q^(19/2) - 3*q^(17/2) - 3*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-3/2)*x2^(-13/2) + (-2*q^(25/2) - 2*q^(23/2) - 4*q^(21/2) - 4*q^(19/2) - 5*q^(17/2) - 3*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-3/2)*x2^(-15/2) + (-q^(31/2) - 2*q^(29/2) - 3*q^(27/2) - 5*q^(25/2) - 4*q^(23/2) - 5*q^(21/2) - 5*q^(19/2) - 4*q^(17/2) - 2*q^(15/2) - 3*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-3/2)*x2^(-17/2) + (-q^(37/2) - q^(35/2) - 3*q^(33/2) - 3*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - 4*q^(25/2) - q^(23/2) - 3*q^(21/2) - 2*q^(19/2) - 2*q^(17/2) - q^(15/2) - 2*q^(13/2) - q^(11/2) - q^(9/2))*x1^(-3/2)*x2^(-19/2) + (q^(15/2))*x1^(-5/2)*x2^(-9/2) + (q^(21/2) + q^(19/2) + q^(17/2) + q^(15/2))*x1^(-5/2)*x2^(-11/2) + (q^(27/2) + q^(25/2) + 2*q^(23/2) + 3*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(-5/2)*x2^(-13/2) + (q^(33/2) + q^(31/2) + 3*q^(29/2) + 4*q^(27/2) + 4*q^(25/2) + 4*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(-5/2)*x2^(-15/2) + (q^(39/2) + 2*q^(37/2) + 3*q^(35/2) + 5*q^(33/2) + 6*q^(31/2) + 7*q^(29/2) + 7*q^(27/2) + 6*q^(25/2) + 5*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(-5/2)*x2^(-17/2) + (2*q^(45/2) + 2*q^(43/2) + 4*q^(41/2) + 6*q^(39/2) + 8*q^(37/2) + 8*q^(35/2) + 10*q^(33/2) + 9*q^(31/2) + 9*q^(29/2) + 8*q^(27/2) + 6*q^(25/2) + 5*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + q^(17/2) + q^(15/2))*x1^(-5/2)*x2^(-19/2) + (-q^(23/2))*x1^(-7/2)*x2^(-11/2) + (-q^(31/2) - q^(29/2) - q^(27/2) - q^(25/2) - q^(23/2))*x1^(-7/2)*x2^(-13/2) + (-q^(39/2) - q^(37/2) - 2*q^(35/2) - 2*q^(33/2) - 4*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(-7/2)*x2^(-15/2) + (-q^(47/2) - q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 5*q^(39/2) - 5*q^(37/2) - 6*q^(35/2) - 5*q^(33/2) - 5*q^(31/2) - 3*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(-7/2)*x2^(-17/2) + (-q^(55/2) - q^(53/2) - 3*q^(51/2) - 4*q^(49/2) - 7*q^(47/2) - 7*q^(45/2) - 10*q^(43/2) - 10*q^(41/2) - 11*q^(39/2) - 9*q^(37/2) - 9*q^(35/2) - 6*q^(33/2) - 6*q^(31/2) - 3*q^(29/2) - 2*q^(27/2) - q^(25/2) - q^(23/2))*x1^(-7/2)*x2^(-19/2) + (q^(33/2))*x1^(-9/2)*x2^(-13/2) + (q^(43/2) + q^(41/2) + q^(39/2) + q^(37/2) + q^(35/2) + q^(33/2))*x1^(-9/2)*x2^(-15/2) + (q^(53/2) + q^(51/2) + 2*q^(49/2) + 2*q^(47/2) + 3*q^(45/2) + 4*q^(43/2) + 3*q^(41/2) + 2*q^(39/2) + 2*q^(37/2) + q^(35/2) + q^(33/2))*x1^(-9/2)*x2^(-17/2) + (q^(63/2) + q^(61/2) + 2*q^(59/2) + 3*q^(57/2) + 5*q^(55/2) + 6*q^(53/2) + 7*q^(51/2) + 7*q^(49/2) + 7*q^(47/2) + 7*q^(45/2) + 6*q^(43/2) + 4*q^(41/2) + 3*q^(39/2) + 2*q^(37/2) + q^(35/2) + q^(33/2))*x1^(-9/2)*x2^(-19/2) + (-q^(45/2))*x1^(-11/2)*x2^(-15/2) + (-q^(57/2) - q^(55/2) - q^(53/2) - q^(51/2) - q^(49/2) - q^(47/2) - q^(45/2))*x1^(-11/2)*x2^(-17/2) + (-q^(69/2) - q^(67/2) - 2*q^(65/2) - 2*q^(63/2) - 3*q^(61/2) - 3*q^(59/2) - 5*q^(57/2) - 3*q^(55/2) - 3*q^(53/2) - 2*q^(51/2) - 2*q^(49/2) - q^(47/2) - q^(45/2))*x1^(-11/2)*x2^(-19/2) + (q^(59/2))*x1^(-13/2)*x2^(-17/2) + (q^(73/2) + q^(71/2) + q^(69/2) + q^(67/2) + q^(65/2) + q^(63/2) + q^(61/2) + q^(59/2))*x1^(-13/2)*x2^(-19/2) + (-q^(75/2))*x1^(-15/2)*x2^(-19/2)

Braid

Braid word Components Crossings Strands
[1, 1, 1, -2, 1, 2, 3, -2, 3, 2] 2 10 4

Multivariable Alexander polynomial

ΔL
A1^(3/2)*A2^(-1/2) + A1^(1/2)*A2^(1/2) - A1^(1/2)*A2^(-1/2) + A1^(1/2)*A2^(-3/2) + A1^(-1/2)*A2^(3/2) - A1^(-1/2)*A2^(1/2) + A1^(-1/2)*A2^(-1/2) + A1^(-3/2)*A2^(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 Polygon of Alexander-202-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(1, -3) yes
(3, -1) yes
(-1, 3) yes
(-3, 1) yes
Dual Thurston polygon0505h1h2

HFL polytope

Poincaré polynomial
m^(-4)*A1^(-2) + m^(-4)*A1^(-1)*A2^(-1) + m^(-4)*A2^(-2) + m^(-3)*A1^(-2)*A2 + 3*m^(-3)*A1^(-1) + 3*m^(-3)*A2^(-1) + m^(-3)*A1*A2^(-2) + 3*m^(-2)*A1^(-1)*A2 + 4*m^(-2) + 3*m^(-2)*A1*A2^(-1) + m^(-1)*A1^(-1)*A2^2 + 3*m^(-1)*A2 + 3*m^(-1)*A1 + m^(-1)*A1^2*A2^(-1) + A2^2 + A1*A2 + A1^2
VertexMaslovRank
(-2, 0)-41
(0, -2)-41
(1, -2)-31
(2, -1)-11
(2, 0)01
(0, 2)01
(-1, 2)-11
(-2, 1)-31
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 46
namestring L8a12{1}
statusstring success
slugstring L8a12_1_a1e3ed15
result_filestring details/L8a12_1_a1e3ed15.json
complexity_scoreOption(int) 128
strandsOption(int) null
crossingsOption(int) 8
component_countOption(int) 2
girthOption(int) 4
total_rankOption(int) 32
wall_secondsOption(float) 0.002591
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 17
vertex_countOption(int) 8
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 8
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L8a12_1_a1e3ed15"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L8a12_1_a1e3ed15