details/L10a115_1_e2726939.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(0, -2) (1/2, 1) x1^(0)x2^(2) q^(-37/2) 
{"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^(-37/2))*x1^(-7)*x2^(9) + (-q^(-27/2))*x1^(-6)*x2^(8) + (-2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2))*x1^(-6)*x2^(9) + (2*q^(-23/2) + 2*q^(-25/2))*x1^(-5)*x2^(8) + (4*q^(-23/2) + 10*q^(-25/2) + 8*q^(-27/2) + 5*q^(-29/2) + 4*q^(-31/2) + q^(-33/2))*x1^(-5)*x2^(9) + (q^(-11/2))*x1^(-4)*x2^(6) + (2*q^(-11/2) + 2*q^(-13/2))*x1^(-4)*x2^(7) + (3*q^(-11/2) + 4*q^(-13/2) + 3*q^(-15/2) - q^(-19/2) - 4*q^(-21/2) - q^(-23/2))*x1^(-4)*x2^(8) + (4*q^(-11/2) + 6*q^(-13/2) + 6*q^(-15/2) + 4*q^(-17/2) - 4*q^(-19/2) - 16*q^(-21/2) - 16*q^(-23/2) - 10*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2))*x1^(-4)*x2^(9) + (-q^(-5/2))*x1^(-3)*x2^(5) + (-2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2))*x1^(-3)*x2^(6) + (-3*q^(-5/2) - 4*q^(-7/2) - 9*q^(-9/2) - 4*q^(-11/2))*x1^(-3)*x2^(7) + (-4*q^(-5/2) - 8*q^(-7/2) - 18*q^(-9/2) - 16*q^(-11/2) - 6*q^(-13/2) + 2*q^(-17/2) + 2*q^(-19/2))*x1^(-3)*x2^(8) + (-7*q^(-5/2) - 14*q^(-7/2) - 31*q^(-9/2) - 32*q^(-11/2) - 23*q^(-13/2) - 4*q^(-15/2) + 12*q^(-17/2) + 18*q^(-19/2) + 10*q^(-21/2) + 4*q^(-23/2) + q^(-25/2))*x1^(-3)*x2^(9) + (2*q^(-3/2))*x1^(-2)*x2^(5) + (6*q^(-3/2) + 4*q^(-5/2) + q^(-7/2))*x1^(-2)*x2^(6) + (2*q^(-1/2) + 12*q^(-3/2) + 14*q^(-5/2) + 12*q^(-7/2) + 2*q^(-9/2))*x1^(-2)*x2^(7) + (2*q^(1/2) + 6*q^(-1/2) + 24*q^(-3/2) + 34*q^(-5/2) + 36*q^(-7/2) + 20*q^(-9/2) + 3*q^(-11/2) - q^(-15/2))*x1^(-2)*x2^(8) + (2*q^(3/2) + 6*q^(1/2) + 18*q^(-1/2) + 48*q^(-3/2) + 70*q^(-5/2) + 80*q^(-7/2) + 58*q^(-9/2) + 26*q^(-11/2) - 2*q^(-13/2) - 10*q^(-15/2) - 6*q^(-17/2) - 2*q^(-19/2))*x1^(-2)*x2^(9) + (q^(3/2))*x1^(-1)*x2^(3) + (2*q^(3/2))*x1^(-1)*x2^(4) + (3*q^(3/2) - q^(-1/2))*x1^(-1)*x2^(5) + (4*q^(3/2) - 2*q^(1/2) - 6*q^(-1/2) - 2*q^(-3/2))*x1^(-1)*x2^(6) + (3*q^(3/2) - 10*q^(1/2) - 18*q^(-1/2) - 14*q^(-3/2) - 5*q^(-5/2))*x1^(-1)*x2^(7) + (-4*q^(5/2) - 6*q^(3/2) - 30*q^(1/2) - 48*q^(-1/2) - 46*q^(-3/2) - 28*q^(-5/2) - 8*q^(-7/2))*x1^(-1)*x2^(8) + (-2*q^(9/2) - 6*q^(7/2) - 20*q^(5/2) - 34*q^(3/2) - 80*q^(1/2) - 113*q^(-1/2) - 118*q^(-3/2) - 86*q^(-5/2) - 42*q^(-7/2) - 9*q^(-9/2) + 2*q^(-11/2) + 2*q^(-13/2))*x1^(-1)*x2^(9) + (-q^(5/2))*x2^(2) + (-2*q^(5/2))*x2^(3) + (-5*q^(5/2))*x2^(4) + (-2*q^(7/2) - 8*q^(5/2))*x2^(5) + (-2*q^(9/2) - 4*q^(7/2) - 11*q^(5/2) + 2*q^(3/2) + 2*q^(1/2))*x2^(6) + (-2*q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 10*q^(5/2) + 12*q^(3/2) + 10*q^(1/2) + 4*q^(-1/2))*x2^(7) + (-2*q^(13/2) - 2*q^(11/2) - 2*q^(9/2) + 6*q^(7/2) + 7*q^(5/2) + 42*q^(3/2) + 39*q^(1/2) + 22*q^(-1/2) + 7*q^(-3/2))*x2^(8) + (2*q^(13/2) + 10*q^(11/2) + 20*q^(9/2) + 48*q^(7/2) + 68*q^(5/2) + 122*q^(3/2) + 114*q^(1/2) + 80*q^(-1/2) + 36*q^(-3/2) + 10*q^(-5/2))*x2^(9) + (2*q^(7/2))*x1*x2^(3) + (2*q^(9/2) + 4*q^(7/2))*x1*x2^(4) + (2*q^(11/2) + 6*q^(9/2) + 7*q^(7/2))*x1*x2^(5) + (4*q^(13/2) + 6*q^(11/2) + 12*q^(9/2) + 10*q^(7/2))*x1*x2^(6) + (2*q^(17/2) + 4*q^(15/2) + 10*q^(13/2) + 13*q^(11/2) + 16*q^(9/2) + 10*q^(7/2) - 4*q^(5/2) - q^(3/2))*x1*x2^(7) + (2*q^(21/2) + 2*q^(19/2) + 8*q^(17/2) + 8*q^(15/2) + 16*q^(13/2) + 14*q^(11/2) + 8*q^(9/2) - 4*q^(7/2) - 20*q^(5/2) - 10*q^(3/2) - 2*q^(1/2))*x1*x2^(8) + (2*q^(25/2) + 2*q^(23/2) + 4*q^(21/2) + 4*q^(19/2) + 8*q^(17/2) + 3*q^(15/2) + 2*q^(13/2) - 16*q^(11/2) - 42*q^(9/2) - 64*q^(7/2) - 72*q^(5/2) - 44*q^(3/2) - 18*q^(1/2) - 3*q^(-1/2))*x1*x2^(9) + (-2*q^(11/2) - q^(9/2))*x1^(2)*x2^(4) + (-2*q^(15/2) - 2*q^(13/2) - 6*q^(11/2) - 2*q^(9/2))*x1^(2)*x2^(5) + (-2*q^(19/2) - 2*q^(17/2) - 8*q^(15/2) - 7*q^(13/2) - 12*q^(11/2) - 3*q^(9/2))*x1^(2)*x2^(6) + (-2*q^(23/2) - 4*q^(21/2) - 8*q^(19/2) - 8*q^(17/2) - 20*q^(15/2) - 16*q^(13/2) - 18*q^(11/2) - 4*q^(9/2))*x1^(2)*x2^(7) + (-4*q^(27/2) - 4*q^(25/2) - 10*q^(23/2) - 12*q^(21/2) - 20*q^(19/2) - 21*q^(17/2) - 36*q^(15/2) - 21*q^(13/2) - 18*q^(11/2) - q^(9/2) + 2*q^(7/2))*x1^(2)*x2^(8) + (-2*q^(33/2) - 4*q^(31/2) - 6*q^(29/2) - 14*q^(27/2) - 12*q^(25/2) - 20*q^(23/2) - 22*q^(21/2) - 36*q^(19/2) - 28*q^(17/2) - 34*q^(15/2) - 2*q^(13/2) + 6*q^(11/2) + 20*q^(9/2) + 12*q^(7/2) + 4*q^(5/2))*x1^(2)*x2^(9) + (2*q^(17/2) + 2*q^(13/2))*x1^(3)*x2^(5) + (2*q^(23/2) + 2*q^(21/2) + 2*q^(19/2) + 6*q^(17/2) + 4*q^(15/2) + 4*q^(13/2))*x1^(3)*x2^(6) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 8*q^(23/2) + 8*q^(21/2) + 8*q^(19/2) + 18*q^(17/2) + 9*q^(15/2) + 6*q^(13/2))*x1^(3)*x2^(7) + (2*q^(35/2) + 2*q^(33/2) + 6*q^(31/2) + 10*q^(29/2) + 10*q^(27/2) + 14*q^(25/2) + 22*q^(23/2) + 22*q^(21/2) + 28*q^(19/2) + 32*q^(17/2) + 14*q^(15/2) + 8*q^(13/2))*x1^(3)*x2^(8) + (2*q^(41/2) + 4*q^(39/2) + 6*q^(37/2) + 12*q^(35/2) + 14*q^(33/2) + 20*q^(31/2) + 28*q^(29/2) + 26*q^(27/2) + 36*q^(25/2) + 49*q^(23/2) + 52*q^(21/2) + 44*q^(19/2) + 40*q^(17/2) + 12*q^(15/2) + 6*q^(13/2) - q^(11/2))*x1^(3)*x2^(9) + (-2*q^(25/2) - 2*q^(19/2) - q^(17/2))*x1^(4)*x2^(6) + (-2*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - 6*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 6*q^(19/2) - 2*q^(17/2))*x1^(4)*x2^(7) + (-2*q^(41/2) - 2*q^(39/2) - 4*q^(37/2) - 4*q^(35/2) - 10*q^(33/2) - 8*q^(31/2) - 8*q^(29/2) - 10*q^(27/2) - 19*q^(25/2) - 14*q^(23/2) - 17*q^(21/2) - 10*q^(19/2) - 3*q^(17/2))*x1^(4)*x2^(8) + (-2*q^(49/2) - 2*q^(47/2) - 4*q^(45/2) - 8*q^(43/2) - 12*q^(41/2) - 12*q^(39/2) - 18*q^(37/2) - 16*q^(35/2) - 28*q^(33/2) - 24*q^(31/2) - 30*q^(29/2) - 36*q^(27/2) - 50*q^(25/2) - 34*q^(23/2) - 28*q^(21/2) - 14*q^(19/2) - 4*q^(17/2))*x1^(4)*x2^(9) + (2*q^(35/2) + 2*q^(27/2) + 2*q^(23/2))*x1^(5)*x2^(7) + (2*q^(45/2) + 2*q^(43/2) + 2*q^(41/2) + 2*q^(39/2) + 2*q^(37/2) + 6*q^(35/2) + 2*q^(33/2) + 2*q^(31/2) + 6*q^(29/2) + 8*q^(27/2) + 4*q^(25/2) + 4*q^(23/2))*x1^(5)*x2^(8) + (2*q^(55/2) + 2*q^(53/2) + 4*q^(51/2) + 4*q^(49/2) + 6*q^(47/2) + 10*q^(45/2) + 10*q^(43/2) + 8*q^(41/2) + 10*q^(39/2) + 10*q^(37/2) + 20*q^(35/2) + 12*q^(33/2) + 20*q^(31/2) + 22*q^(29/2) + 21*q^(27/2) + 8*q^(25/2) + 6*q^(23/2))*x1^(5)*x2^(9) + (-2*q^(47/2) - 2*q^(37/2) - 2*q^(31/2) - q^(29/2))*x1^(6)*x2^(8) + (-2*q^(59/2) - 2*q^(57/2) - 2*q^(55/2) - 2*q^(53/2) - 2*q^(51/2) - 2*q^(49/2) - 6*q^(47/2) - 2*q^(45/2) - 2*q^(43/2) - 2*q^(41/2) - 6*q^(39/2) - 6*q^(37/2) - 6*q^(35/2) - 6*q^(33/2) - 6*q^(31/2) - 2*q^(29/2))*x1^(6)*x2^(9) + (2*q^(61/2) + 2*q^(49/2) + 2*q^(41/2) + 2*q^(37/2))*x1^(7)*x2^(9)
(-2, 0) (1, 1/2) x1^(2)x2^(0) q^(-37/2) 
{"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^(5/2))*x1^(2) + (q^(3/2))*x1^(3)*x2^(-1) + (-2*q^(5/2))*x1^(3) + (2*q^(7/2))*x1^(3)*x2 + (2*q^(3/2))*x1^(4)*x2^(-1) + (-5*q^(5/2))*x1^(4) + (2*q^(9/2) + 4*q^(7/2))*x1^(4)*x2 + (-2*q^(11/2) - q^(9/2))*x1^(4)*x2^(2) + (-q^(-5/2))*x1^(5)*x2^(-3) + (2*q^(-3/2))*x1^(5)*x2^(-2) + (3*q^(3/2) - q^(-1/2))*x1^(5)*x2^(-1) + (-2*q^(7/2) - 8*q^(5/2))*x1^(5) + (2*q^(11/2) + 6*q^(9/2) + 7*q^(7/2))*x1^(5)*x2 + (-2*q^(15/2) - 2*q^(13/2) - 6*q^(11/2) - 2*q^(9/2))*x1^(5)*x2^(2) + (2*q^(17/2) + 2*q^(13/2))*x1^(5)*x2^(3) + (q^(-11/2))*x1^(6)*x2^(-4) + (-2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2))*x1^(6)*x2^(-3) + (6*q^(-3/2) + 4*q^(-5/2) + q^(-7/2))*x1^(6)*x2^(-2) + (4*q^(3/2) - 2*q^(1/2) - 6*q^(-1/2) - 2*q^(-3/2))*x1^(6)*x2^(-1) + (-2*q^(9/2) - 4*q^(7/2) - 11*q^(5/2) + 2*q^(3/2) + 2*q^(1/2))*x1^(6) + (4*q^(13/2) + 6*q^(11/2) + 12*q^(9/2) + 10*q^(7/2))*x1^(6)*x2 + (-2*q^(19/2) - 2*q^(17/2) - 8*q^(15/2) - 7*q^(13/2) - 12*q^(11/2) - 3*q^(9/2))*x1^(6)*x2^(2) + (2*q^(23/2) + 2*q^(21/2) + 2*q^(19/2) + 6*q^(17/2) + 4*q^(15/2) + 4*q^(13/2))*x1^(6)*x2^(3) + (-2*q^(25/2) - 2*q^(19/2) - q^(17/2))*x1^(6)*x2^(4) + (2*q^(-11/2) + 2*q^(-13/2))*x1^(7)*x2^(-4) + (-3*q^(-5/2) - 4*q^(-7/2) - 9*q^(-9/2) - 4*q^(-11/2))*x1^(7)*x2^(-3) + (2*q^(-1/2) + 12*q^(-3/2) + 14*q^(-5/2) + 12*q^(-7/2) + 2*q^(-9/2))*x1^(7)*x2^(-2) + (3*q^(3/2) - 10*q^(1/2) - 18*q^(-1/2) - 14*q^(-3/2) - 5*q^(-5/2))*x1^(7)*x2^(-1) + (-2*q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 10*q^(5/2) + 12*q^(3/2) + 10*q^(1/2) + 4*q^(-1/2))*x1^(7) + (2*q^(17/2) + 4*q^(15/2) + 10*q^(13/2) + 13*q^(11/2) + 16*q^(9/2) + 10*q^(7/2) - 4*q^(5/2) - q^(3/2))*x1^(7)*x2 + (-2*q^(23/2) - 4*q^(21/2) - 8*q^(19/2) - 8*q^(17/2) - 20*q^(15/2) - 16*q^(13/2) - 18*q^(11/2) - 4*q^(9/2))*x1^(7)*x2^(2) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 8*q^(23/2) + 8*q^(21/2) + 8*q^(19/2) + 18*q^(17/2) + 9*q^(15/2) + 6*q^(13/2))*x1^(7)*x2^(3) + (-2*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - 6*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 6*q^(19/2) - 2*q^(17/2))*x1^(7)*x2^(4) + (2*q^(35/2) + 2*q^(27/2) + 2*q^(23/2))*x1^(7)*x2^(5) + (-q^(-27/2))*x1^(8)*x2^(-6) + (2*q^(-23/2) + 2*q^(-25/2))*x1^(8)*x2^(-5) + (3*q^(-11/2) + 4*q^(-13/2) + 3*q^(-15/2) - q^(-19/2) - 4*q^(-21/2) - q^(-23/2))*x1^(8)*x2^(-4) + (-4*q^(-5/2) - 8*q^(-7/2) - 18*q^(-9/2) - 16*q^(-11/2) - 6*q^(-13/2) + 2*q^(-17/2) + 2*q^(-19/2))*x1^(8)*x2^(-3) + (2*q^(1/2) + 6*q^(-1/2) + 24*q^(-3/2) + 34*q^(-5/2) + 36*q^(-7/2) + 20*q^(-9/2) + 3*q^(-11/2) - q^(-15/2))*x1^(8)*x2^(-2) + (-4*q^(5/2) - 6*q^(3/2) - 30*q^(1/2) - 48*q^(-1/2) - 46*q^(-3/2) - 28*q^(-5/2) - 8*q^(-7/2))*x1^(8)*x2^(-1) + (-2*q^(13/2) - 2*q^(11/2) - 2*q^(9/2) + 6*q^(7/2) + 7*q^(5/2) + 42*q^(3/2) + 39*q^(1/2) + 22*q^(-1/2) + 7*q^(-3/2))*x1^(8) + (2*q^(21/2) + 2*q^(19/2) + 8*q^(17/2) + 8*q^(15/2) + 16*q^(13/2) + 14*q^(11/2) + 8*q^(9/2) - 4*q^(7/2) - 20*q^(5/2) - 10*q^(3/2) - 2*q^(1/2))*x1^(8)*x2 + (-4*q^(27/2) - 4*q^(25/2) - 10*q^(23/2) - 12*q^(21/2) - 20*q^(19/2) - 21*q^(17/2) - 36*q^(15/2) - 21*q^(13/2) - 18*q^(11/2) - q^(9/2) + 2*q^(7/2))*x1^(8)*x2^(2) + (2*q^(35/2) + 2*q^(33/2) + 6*q^(31/2) + 10*q^(29/2) + 10*q^(27/2) + 14*q^(25/2) + 22*q^(23/2) + 22*q^(21/2) + 28*q^(19/2) + 32*q^(17/2) + 14*q^(15/2) + 8*q^(13/2))*x1^(8)*x2^(3) + (-2*q^(41/2) - 2*q^(39/2) - 4*q^(37/2) - 4*q^(35/2) - 10*q^(33/2) - 8*q^(31/2) - 8*q^(29/2) - 10*q^(27/2) - 19*q^(25/2) - 14*q^(23/2) - 17*q^(21/2) - 10*q^(19/2) - 3*q^(17/2))*x1^(8)*x2^(4) + (2*q^(45/2) + 2*q^(43/2) + 2*q^(41/2) + 2*q^(39/2) + 2*q^(37/2) + 6*q^(35/2) + 2*q^(33/2) + 2*q^(31/2) + 6*q^(29/2) + 8*q^(27/2) + 4*q^(25/2) + 4*q^(23/2))*x1^(8)*x2^(5) + (-2*q^(47/2) - 2*q^(37/2) - 2*q^(31/2) - q^(29/2))*x1^(8)*x2^(6) + (q^(-37/2))*x1^(9)*x2^(-7) + (-2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2))*x1^(9)*x2^(-6) + (4*q^(-23/2) + 10*q^(-25/2) + 8*q^(-27/2) + 5*q^(-29/2) + 4*q^(-31/2) + q^(-33/2))*x1^(9)*x2^(-5) + (4*q^(-11/2) + 6*q^(-13/2) + 6*q^(-15/2) + 4*q^(-17/2) - 4*q^(-19/2) - 16*q^(-21/2) - 16*q^(-23/2) - 10*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2))*x1^(9)*x2^(-4) + (-7*q^(-5/2) - 14*q^(-7/2) - 31*q^(-9/2) - 32*q^(-11/2) - 23*q^(-13/2) - 4*q^(-15/2) + 12*q^(-17/2) + 18*q^(-19/2) + 10*q^(-21/2) + 4*q^(-23/2) + q^(-25/2))*x1^(9)*x2^(-3) + (2*q^(3/2) + 6*q^(1/2) + 18*q^(-1/2) + 48*q^(-3/2) + 70*q^(-5/2) + 80*q^(-7/2) + 58*q^(-9/2) + 26*q^(-11/2) - 2*q^(-13/2) - 10*q^(-15/2) - 6*q^(-17/2) - 2*q^(-19/2))*x1^(9)*x2^(-2) + (-2*q^(9/2) - 6*q^(7/2) - 20*q^(5/2) - 34*q^(3/2) - 80*q^(1/2) - 113*q^(-1/2) - 118*q^(-3/2) - 86*q^(-5/2) - 42*q^(-7/2) - 9*q^(-9/2) + 2*q^(-11/2) + 2*q^(-13/2))*x1^(9)*x2^(-1) + (2*q^(13/2) + 10*q^(11/2) + 20*q^(9/2) + 48*q^(7/2) + 68*q^(5/2) + 122*q^(3/2) + 114*q^(1/2) + 80*q^(-1/2) + 36*q^(-3/2) + 10*q^(-5/2))*x1^(9) + (2*q^(25/2) + 2*q^(23/2) + 4*q^(21/2) + 4*q^(19/2) + 8*q^(17/2) + 3*q^(15/2) + 2*q^(13/2) - 16*q^(11/2) - 42*q^(9/2) - 64*q^(7/2) - 72*q^(5/2) - 44*q^(3/2) - 18*q^(1/2) - 3*q^(-1/2))*x1^(9)*x2 + (-2*q^(33/2) - 4*q^(31/2) - 6*q^(29/2) - 14*q^(27/2) - 12*q^(25/2) - 20*q^(23/2) - 22*q^(21/2) - 36*q^(19/2) - 28*q^(17/2) - 34*q^(15/2) - 2*q^(13/2) + 6*q^(11/2) + 20*q^(9/2) + 12*q^(7/2) + 4*q^(5/2))*x1^(9)*x2^(2) + (2*q^(41/2) + 4*q^(39/2) + 6*q^(37/2) + 12*q^(35/2) + 14*q^(33/2) + 20*q^(31/2) + 28*q^(29/2) + 26*q^(27/2) + 36*q^(25/2) + 49*q^(23/2) + 52*q^(21/2) + 44*q^(19/2) + 40*q^(17/2) + 12*q^(15/2) + 6*q^(13/2) - q^(11/2))*x1^(9)*x2^(3) + (-2*q^(49/2) - 2*q^(47/2) - 4*q^(45/2) - 8*q^(43/2) - 12*q^(41/2) - 12*q^(39/2) - 18*q^(37/2) - 16*q^(35/2) - 28*q^(33/2) - 24*q^(31/2) - 30*q^(29/2) - 36*q^(27/2) - 50*q^(25/2) - 34*q^(23/2) - 28*q^(21/2) - 14*q^(19/2) - 4*q^(17/2))*x1^(9)*x2^(4) + (2*q^(55/2) + 2*q^(53/2) + 4*q^(51/2) + 4*q^(49/2) + 6*q^(47/2) + 10*q^(45/2) + 10*q^(43/2) + 8*q^(41/2) + 10*q^(39/2) + 10*q^(37/2) + 20*q^(35/2) + 12*q^(33/2) + 20*q^(31/2) + 22*q^(29/2) + 21*q^(27/2) + 8*q^(25/2) + 6*q^(23/2))*x1^(9)*x2^(5) + (-2*q^(59/2) - 2*q^(57/2) - 2*q^(55/2) - 2*q^(53/2) - 2*q^(51/2) - 2*q^(49/2) - 6*q^(47/2) - 2*q^(45/2) - 2*q^(43/2) - 2*q^(41/2) - 6*q^(39/2) - 6*q^(37/2) - 6*q^(35/2) - 6*q^(33/2) - 6*q^(31/2) - 2*q^(29/2))*x1^(9)*x2^(6) + (2*q^(61/2) + 2*q^(49/2) + 2*q^(41/2) + 2*q^(37/2))*x1^(9)*x2^(7)
(0, 2) x1^(0)x2^(-2) q^(-37/2) 
(q^(-37/2))*x1^(7)*x2^(-9) + (-q^(-27/2))*x1^(6)*x2^(-8) + (-2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2))*x1^(6)*x2^(-9) + (2*q^(-23/2) + 2*q^(-25/2))*x1^(5)*x2^(-8) + (4*q^(-23/2) + 10*q^(-25/2) + 8*q^(-27/2) + 5*q^(-29/2) + 4*q^(-31/2) + q^(-33/2))*x1^(5)*x2^(-9) + (q^(-11/2))*x1^(4)*x2^(-6) + (2*q^(-11/2) + 2*q^(-13/2))*x1^(4)*x2^(-7) + (3*q^(-11/2) + 4*q^(-13/2) + 3*q^(-15/2) - q^(-19/2) - 4*q^(-21/2) - q^(-23/2))*x1^(4)*x2^(-8) + (4*q^(-11/2) + 6*q^(-13/2) + 6*q^(-15/2) + 4*q^(-17/2) - 4*q^(-19/2) - 16*q^(-21/2) - 16*q^(-23/2) - 10*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2))*x1^(4)*x2^(-9) + (-q^(-5/2))*x1^(3)*x2^(-5) + (-2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2))*x1^(3)*x2^(-6) + (-3*q^(-5/2) - 4*q^(-7/2) - 9*q^(-9/2) - 4*q^(-11/2))*x1^(3)*x2^(-7) + (-4*q^(-5/2) - 8*q^(-7/2) - 18*q^(-9/2) - 16*q^(-11/2) - 6*q^(-13/2) + 2*q^(-17/2) + 2*q^(-19/2))*x1^(3)*x2^(-8) + (-7*q^(-5/2) - 14*q^(-7/2) - 31*q^(-9/2) - 32*q^(-11/2) - 23*q^(-13/2) - 4*q^(-15/2) + 12*q^(-17/2) + 18*q^(-19/2) + 10*q^(-21/2) + 4*q^(-23/2) + q^(-25/2))*x1^(3)*x2^(-9) + (2*q^(-3/2))*x1^(2)*x2^(-5) + (6*q^(-3/2) + 4*q^(-5/2) + q^(-7/2))*x1^(2)*x2^(-6) + (2*q^(-1/2) + 12*q^(-3/2) + 14*q^(-5/2) + 12*q^(-7/2) + 2*q^(-9/2))*x1^(2)*x2^(-7) + (2*q^(1/2) + 6*q^(-1/2) + 24*q^(-3/2) + 34*q^(-5/2) + 36*q^(-7/2) + 20*q^(-9/2) + 3*q^(-11/2) - q^(-15/2))*x1^(2)*x2^(-8) + (2*q^(3/2) + 6*q^(1/2) + 18*q^(-1/2) + 48*q^(-3/2) + 70*q^(-5/2) + 80*q^(-7/2) + 58*q^(-9/2) + 26*q^(-11/2) - 2*q^(-13/2) - 10*q^(-15/2) - 6*q^(-17/2) - 2*q^(-19/2))*x1^(2)*x2^(-9) + (q^(3/2))*x1*x2^(-3) + (2*q^(3/2))*x1*x2^(-4) + (3*q^(3/2) - q^(-1/2))*x1*x2^(-5) + (4*q^(3/2) - 2*q^(1/2) - 6*q^(-1/2) - 2*q^(-3/2))*x1*x2^(-6) + (3*q^(3/2) - 10*q^(1/2) - 18*q^(-1/2) - 14*q^(-3/2) - 5*q^(-5/2))*x1*x2^(-7) + (-4*q^(5/2) - 6*q^(3/2) - 30*q^(1/2) - 48*q^(-1/2) - 46*q^(-3/2) - 28*q^(-5/2) - 8*q^(-7/2))*x1*x2^(-8) + (-2*q^(9/2) - 6*q^(7/2) - 20*q^(5/2) - 34*q^(3/2) - 80*q^(1/2) - 113*q^(-1/2) - 118*q^(-3/2) - 86*q^(-5/2) - 42*q^(-7/2) - 9*q^(-9/2) + 2*q^(-11/2) + 2*q^(-13/2))*x1*x2^(-9) + (-q^(5/2))*x2^(-2) + (-2*q^(5/2))*x2^(-3) + (-5*q^(5/2))*x2^(-4) + (-2*q^(7/2) - 8*q^(5/2))*x2^(-5) + (-2*q^(9/2) - 4*q^(7/2) - 11*q^(5/2) + 2*q^(3/2) + 2*q^(1/2))*x2^(-6) + (-2*q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 10*q^(5/2) + 12*q^(3/2) + 10*q^(1/2) + 4*q^(-1/2))*x2^(-7) + (-2*q^(13/2) - 2*q^(11/2) - 2*q^(9/2) + 6*q^(7/2) + 7*q^(5/2) + 42*q^(3/2) + 39*q^(1/2) + 22*q^(-1/2) + 7*q^(-3/2))*x2^(-8) + (2*q^(13/2) + 10*q^(11/2) + 20*q^(9/2) + 48*q^(7/2) + 68*q^(5/2) + 122*q^(3/2) + 114*q^(1/2) + 80*q^(-1/2) + 36*q^(-3/2) + 10*q^(-5/2))*x2^(-9) + (2*q^(7/2))*x1^(-1)*x2^(-3) + (2*q^(9/2) + 4*q^(7/2))*x1^(-1)*x2^(-4) + (2*q^(11/2) + 6*q^(9/2) + 7*q^(7/2))*x1^(-1)*x2^(-5) + (4*q^(13/2) + 6*q^(11/2) + 12*q^(9/2) + 10*q^(7/2))*x1^(-1)*x2^(-6) + (2*q^(17/2) + 4*q^(15/2) + 10*q^(13/2) + 13*q^(11/2) + 16*q^(9/2) + 10*q^(7/2) - 4*q^(5/2) - q^(3/2))*x1^(-1)*x2^(-7) + (2*q^(21/2) + 2*q^(19/2) + 8*q^(17/2) + 8*q^(15/2) + 16*q^(13/2) + 14*q^(11/2) + 8*q^(9/2) - 4*q^(7/2) - 20*q^(5/2) - 10*q^(3/2) - 2*q^(1/2))*x1^(-1)*x2^(-8) + (2*q^(25/2) + 2*q^(23/2) + 4*q^(21/2) + 4*q^(19/2) + 8*q^(17/2) + 3*q^(15/2) + 2*q^(13/2) - 16*q^(11/2) - 42*q^(9/2) - 64*q^(7/2) - 72*q^(5/2) - 44*q^(3/2) - 18*q^(1/2) - 3*q^(-1/2))*x1^(-1)*x2^(-9) + (-2*q^(11/2) - q^(9/2))*x1^(-2)*x2^(-4) + (-2*q^(15/2) - 2*q^(13/2) - 6*q^(11/2) - 2*q^(9/2))*x1^(-2)*x2^(-5) + (-2*q^(19/2) - 2*q^(17/2) - 8*q^(15/2) - 7*q^(13/2) - 12*q^(11/2) - 3*q^(9/2))*x1^(-2)*x2^(-6) + (-2*q^(23/2) - 4*q^(21/2) - 8*q^(19/2) - 8*q^(17/2) - 20*q^(15/2) - 16*q^(13/2) - 18*q^(11/2) - 4*q^(9/2))*x1^(-2)*x2^(-7) + (-4*q^(27/2) - 4*q^(25/2) - 10*q^(23/2) - 12*q^(21/2) - 20*q^(19/2) - 21*q^(17/2) - 36*q^(15/2) - 21*q^(13/2) - 18*q^(11/2) - q^(9/2) + 2*q^(7/2))*x1^(-2)*x2^(-8) + (-2*q^(33/2) - 4*q^(31/2) - 6*q^(29/2) - 14*q^(27/2) - 12*q^(25/2) - 20*q^(23/2) - 22*q^(21/2) - 36*q^(19/2) - 28*q^(17/2) - 34*q^(15/2) - 2*q^(13/2) + 6*q^(11/2) + 20*q^(9/2) + 12*q^(7/2) + 4*q^(5/2))*x1^(-2)*x2^(-9) + (2*q^(17/2) + 2*q^(13/2))*x1^(-3)*x2^(-5) + (2*q^(23/2) + 2*q^(21/2) + 2*q^(19/2) + 6*q^(17/2) + 4*q^(15/2) + 4*q^(13/2))*x1^(-3)*x2^(-6) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 8*q^(23/2) + 8*q^(21/2) + 8*q^(19/2) + 18*q^(17/2) + 9*q^(15/2) + 6*q^(13/2))*x1^(-3)*x2^(-7) + (2*q^(35/2) + 2*q^(33/2) + 6*q^(31/2) + 10*q^(29/2) + 10*q^(27/2) + 14*q^(25/2) + 22*q^(23/2) + 22*q^(21/2) + 28*q^(19/2) + 32*q^(17/2) + 14*q^(15/2) + 8*q^(13/2))*x1^(-3)*x2^(-8) + (2*q^(41/2) + 4*q^(39/2) + 6*q^(37/2) + 12*q^(35/2) + 14*q^(33/2) + 20*q^(31/2) + 28*q^(29/2) + 26*q^(27/2) + 36*q^(25/2) + 49*q^(23/2) + 52*q^(21/2) + 44*q^(19/2) + 40*q^(17/2) + 12*q^(15/2) + 6*q^(13/2) - q^(11/2))*x1^(-3)*x2^(-9) + (-2*q^(25/2) - 2*q^(19/2) - q^(17/2))*x1^(-4)*x2^(-6) + (-2*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - 6*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 6*q^(19/2) - 2*q^(17/2))*x1^(-4)*x2^(-7) + (-2*q^(41/2) - 2*q^(39/2) - 4*q^(37/2) - 4*q^(35/2) - 10*q^(33/2) - 8*q^(31/2) - 8*q^(29/2) - 10*q^(27/2) - 19*q^(25/2) - 14*q^(23/2) - 17*q^(21/2) - 10*q^(19/2) - 3*q^(17/2))*x1^(-4)*x2^(-8) + (-2*q^(49/2) - 2*q^(47/2) - 4*q^(45/2) - 8*q^(43/2) - 12*q^(41/2) - 12*q^(39/2) - 18*q^(37/2) - 16*q^(35/2) - 28*q^(33/2) - 24*q^(31/2) - 30*q^(29/2) - 36*q^(27/2) - 50*q^(25/2) - 34*q^(23/2) - 28*q^(21/2) - 14*q^(19/2) - 4*q^(17/2))*x1^(-4)*x2^(-9) + (2*q^(35/2) + 2*q^(27/2) + 2*q^(23/2))*x1^(-5)*x2^(-7) + (2*q^(45/2) + 2*q^(43/2) + 2*q^(41/2) + 2*q^(39/2) + 2*q^(37/2) + 6*q^(35/2) + 2*q^(33/2) + 2*q^(31/2) + 6*q^(29/2) + 8*q^(27/2) + 4*q^(25/2) + 4*q^(23/2))*x1^(-5)*x2^(-8) + (2*q^(55/2) + 2*q^(53/2) + 4*q^(51/2) + 4*q^(49/2) + 6*q^(47/2) + 10*q^(45/2) + 10*q^(43/2) + 8*q^(41/2) + 10*q^(39/2) + 10*q^(37/2) + 20*q^(35/2) + 12*q^(33/2) + 20*q^(31/2) + 22*q^(29/2) + 21*q^(27/2) + 8*q^(25/2) + 6*q^(23/2))*x1^(-5)*x2^(-9) + (-2*q^(47/2) - 2*q^(37/2) - 2*q^(31/2) - q^(29/2))*x1^(-6)*x2^(-8) + (-2*q^(59/2) - 2*q^(57/2) - 2*q^(55/2) - 2*q^(53/2) - 2*q^(51/2) - 2*q^(49/2) - 6*q^(47/2) - 2*q^(45/2) - 2*q^(43/2) - 2*q^(41/2) - 6*q^(39/2) - 6*q^(37/2) - 6*q^(35/2) - 6*q^(33/2) - 6*q^(31/2) - 2*q^(29/2))*x1^(-6)*x2^(-9) + (2*q^(61/2) + 2*q^(49/2) + 2*q^(41/2) + 2*q^(37/2))*x1^(-7)*x2^(-9)
(2, 0) x1^(-2)x2^(0) q^(-37/2) 
(-q^(5/2))*x1^(-2) + (q^(3/2))*x1^(-3)*x2 + (-2*q^(5/2))*x1^(-3) + (2*q^(7/2))*x1^(-3)*x2^(-1) + (2*q^(3/2))*x1^(-4)*x2 + (-5*q^(5/2))*x1^(-4) + (2*q^(9/2) + 4*q^(7/2))*x1^(-4)*x2^(-1) + (-2*q^(11/2) - q^(9/2))*x1^(-4)*x2^(-2) + (-q^(-5/2))*x1^(-5)*x2^(3) + (2*q^(-3/2))*x1^(-5)*x2^(2) + (3*q^(3/2) - q^(-1/2))*x1^(-5)*x2 + (-2*q^(7/2) - 8*q^(5/2))*x1^(-5) + (2*q^(11/2) + 6*q^(9/2) + 7*q^(7/2))*x1^(-5)*x2^(-1) + (-2*q^(15/2) - 2*q^(13/2) - 6*q^(11/2) - 2*q^(9/2))*x1^(-5)*x2^(-2) + (2*q^(17/2) + 2*q^(13/2))*x1^(-5)*x2^(-3) + (q^(-11/2))*x1^(-6)*x2^(4) + (-2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2))*x1^(-6)*x2^(3) + (6*q^(-3/2) + 4*q^(-5/2) + q^(-7/2))*x1^(-6)*x2^(2) + (4*q^(3/2) - 2*q^(1/2) - 6*q^(-1/2) - 2*q^(-3/2))*x1^(-6)*x2 + (-2*q^(9/2) - 4*q^(7/2) - 11*q^(5/2) + 2*q^(3/2) + 2*q^(1/2))*x1^(-6) + (4*q^(13/2) + 6*q^(11/2) + 12*q^(9/2) + 10*q^(7/2))*x1^(-6)*x2^(-1) + (-2*q^(19/2) - 2*q^(17/2) - 8*q^(15/2) - 7*q^(13/2) - 12*q^(11/2) - 3*q^(9/2))*x1^(-6)*x2^(-2) + (2*q^(23/2) + 2*q^(21/2) + 2*q^(19/2) + 6*q^(17/2) + 4*q^(15/2) + 4*q^(13/2))*x1^(-6)*x2^(-3) + (-2*q^(25/2) - 2*q^(19/2) - q^(17/2))*x1^(-6)*x2^(-4) + (2*q^(-11/2) + 2*q^(-13/2))*x1^(-7)*x2^(4) + (-3*q^(-5/2) - 4*q^(-7/2) - 9*q^(-9/2) - 4*q^(-11/2))*x1^(-7)*x2^(3) + (2*q^(-1/2) + 12*q^(-3/2) + 14*q^(-5/2) + 12*q^(-7/2) + 2*q^(-9/2))*x1^(-7)*x2^(2) + (3*q^(3/2) - 10*q^(1/2) - 18*q^(-1/2) - 14*q^(-3/2) - 5*q^(-5/2))*x1^(-7)*x2 + (-2*q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 10*q^(5/2) + 12*q^(3/2) + 10*q^(1/2) + 4*q^(-1/2))*x1^(-7) + (2*q^(17/2) + 4*q^(15/2) + 10*q^(13/2) + 13*q^(11/2) + 16*q^(9/2) + 10*q^(7/2) - 4*q^(5/2) - q^(3/2))*x1^(-7)*x2^(-1) + (-2*q^(23/2) - 4*q^(21/2) - 8*q^(19/2) - 8*q^(17/2) - 20*q^(15/2) - 16*q^(13/2) - 18*q^(11/2) - 4*q^(9/2))*x1^(-7)*x2^(-2) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 8*q^(23/2) + 8*q^(21/2) + 8*q^(19/2) + 18*q^(17/2) + 9*q^(15/2) + 6*q^(13/2))*x1^(-7)*x2^(-3) + (-2*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - 6*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 6*q^(19/2) - 2*q^(17/2))*x1^(-7)*x2^(-4) + (2*q^(35/2) + 2*q^(27/2) + 2*q^(23/2))*x1^(-7)*x2^(-5) + (-q^(-27/2))*x1^(-8)*x2^(6) + (2*q^(-23/2) + 2*q^(-25/2))*x1^(-8)*x2^(5) + (3*q^(-11/2) + 4*q^(-13/2) + 3*q^(-15/2) - q^(-19/2) - 4*q^(-21/2) - q^(-23/2))*x1^(-8)*x2^(4) + (-4*q^(-5/2) - 8*q^(-7/2) - 18*q^(-9/2) - 16*q^(-11/2) - 6*q^(-13/2) + 2*q^(-17/2) + 2*q^(-19/2))*x1^(-8)*x2^(3) + (2*q^(1/2) + 6*q^(-1/2) + 24*q^(-3/2) + 34*q^(-5/2) + 36*q^(-7/2) + 20*q^(-9/2) + 3*q^(-11/2) - q^(-15/2))*x1^(-8)*x2^(2) + (-4*q^(5/2) - 6*q^(3/2) - 30*q^(1/2) - 48*q^(-1/2) - 46*q^(-3/2) - 28*q^(-5/2) - 8*q^(-7/2))*x1^(-8)*x2 + (-2*q^(13/2) - 2*q^(11/2) - 2*q^(9/2) + 6*q^(7/2) + 7*q^(5/2) + 42*q^(3/2) + 39*q^(1/2) + 22*q^(-1/2) + 7*q^(-3/2))*x1^(-8) + (2*q^(21/2) + 2*q^(19/2) + 8*q^(17/2) + 8*q^(15/2) + 16*q^(13/2) + 14*q^(11/2) + 8*q^(9/2) - 4*q^(7/2) - 20*q^(5/2) - 10*q^(3/2) - 2*q^(1/2))*x1^(-8)*x2^(-1) + (-4*q^(27/2) - 4*q^(25/2) - 10*q^(23/2) - 12*q^(21/2) - 20*q^(19/2) - 21*q^(17/2) - 36*q^(15/2) - 21*q^(13/2) - 18*q^(11/2) - q^(9/2) + 2*q^(7/2))*x1^(-8)*x2^(-2) + (2*q^(35/2) + 2*q^(33/2) + 6*q^(31/2) + 10*q^(29/2) + 10*q^(27/2) + 14*q^(25/2) + 22*q^(23/2) + 22*q^(21/2) + 28*q^(19/2) + 32*q^(17/2) + 14*q^(15/2) + 8*q^(13/2))*x1^(-8)*x2^(-3) + (-2*q^(41/2) - 2*q^(39/2) - 4*q^(37/2) - 4*q^(35/2) - 10*q^(33/2) - 8*q^(31/2) - 8*q^(29/2) - 10*q^(27/2) - 19*q^(25/2) - 14*q^(23/2) - 17*q^(21/2) - 10*q^(19/2) - 3*q^(17/2))*x1^(-8)*x2^(-4) + (2*q^(45/2) + 2*q^(43/2) + 2*q^(41/2) + 2*q^(39/2) + 2*q^(37/2) + 6*q^(35/2) + 2*q^(33/2) + 2*q^(31/2) + 6*q^(29/2) + 8*q^(27/2) + 4*q^(25/2) + 4*q^(23/2))*x1^(-8)*x2^(-5) + (-2*q^(47/2) - 2*q^(37/2) - 2*q^(31/2) - q^(29/2))*x1^(-8)*x2^(-6) + (q^(-37/2))*x1^(-9)*x2^(7) + (-2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2))*x1^(-9)*x2^(6) + (4*q^(-23/2) + 10*q^(-25/2) + 8*q^(-27/2) + 5*q^(-29/2) + 4*q^(-31/2) + q^(-33/2))*x1^(-9)*x2^(5) + (4*q^(-11/2) + 6*q^(-13/2) + 6*q^(-15/2) + 4*q^(-17/2) - 4*q^(-19/2) - 16*q^(-21/2) - 16*q^(-23/2) - 10*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2))*x1^(-9)*x2^(4) + (-7*q^(-5/2) - 14*q^(-7/2) - 31*q^(-9/2) - 32*q^(-11/2) - 23*q^(-13/2) - 4*q^(-15/2) + 12*q^(-17/2) + 18*q^(-19/2) + 10*q^(-21/2) + 4*q^(-23/2) + q^(-25/2))*x1^(-9)*x2^(3) + (2*q^(3/2) + 6*q^(1/2) + 18*q^(-1/2) + 48*q^(-3/2) + 70*q^(-5/2) + 80*q^(-7/2) + 58*q^(-9/2) + 26*q^(-11/2) - 2*q^(-13/2) - 10*q^(-15/2) - 6*q^(-17/2) - 2*q^(-19/2))*x1^(-9)*x2^(2) + (-2*q^(9/2) - 6*q^(7/2) - 20*q^(5/2) - 34*q^(3/2) - 80*q^(1/2) - 113*q^(-1/2) - 118*q^(-3/2) - 86*q^(-5/2) - 42*q^(-7/2) - 9*q^(-9/2) + 2*q^(-11/2) + 2*q^(-13/2))*x1^(-9)*x2 + (2*q^(13/2) + 10*q^(11/2) + 20*q^(9/2) + 48*q^(7/2) + 68*q^(5/2) + 122*q^(3/2) + 114*q^(1/2) + 80*q^(-1/2) + 36*q^(-3/2) + 10*q^(-5/2))*x1^(-9) + (2*q^(25/2) + 2*q^(23/2) + 4*q^(21/2) + 4*q^(19/2) + 8*q^(17/2) + 3*q^(15/2) + 2*q^(13/2) - 16*q^(11/2) - 42*q^(9/2) - 64*q^(7/2) - 72*q^(5/2) - 44*q^(3/2) - 18*q^(1/2) - 3*q^(-1/2))*x1^(-9)*x2^(-1) + (-2*q^(33/2) - 4*q^(31/2) - 6*q^(29/2) - 14*q^(27/2) - 12*q^(25/2) - 20*q^(23/2) - 22*q^(21/2) - 36*q^(19/2) - 28*q^(17/2) - 34*q^(15/2) - 2*q^(13/2) + 6*q^(11/2) + 20*q^(9/2) + 12*q^(7/2) + 4*q^(5/2))*x1^(-9)*x2^(-2) + (2*q^(41/2) + 4*q^(39/2) + 6*q^(37/2) + 12*q^(35/2) + 14*q^(33/2) + 20*q^(31/2) + 28*q^(29/2) + 26*q^(27/2) + 36*q^(25/2) + 49*q^(23/2) + 52*q^(21/2) + 44*q^(19/2) + 40*q^(17/2) + 12*q^(15/2) + 6*q^(13/2) - q^(11/2))*x1^(-9)*x2^(-3) + (-2*q^(49/2) - 2*q^(47/2) - 4*q^(45/2) - 8*q^(43/2) - 12*q^(41/2) - 12*q^(39/2) - 18*q^(37/2) - 16*q^(35/2) - 28*q^(33/2) - 24*q^(31/2) - 30*q^(29/2) - 36*q^(27/2) - 50*q^(25/2) - 34*q^(23/2) - 28*q^(21/2) - 14*q^(19/2) - 4*q^(17/2))*x1^(-9)*x2^(-4) + (2*q^(55/2) + 2*q^(53/2) + 4*q^(51/2) + 4*q^(49/2) + 6*q^(47/2) + 10*q^(45/2) + 10*q^(43/2) + 8*q^(41/2) + 10*q^(39/2) + 10*q^(37/2) + 20*q^(35/2) + 12*q^(33/2) + 20*q^(31/2) + 22*q^(29/2) + 21*q^(27/2) + 8*q^(25/2) + 6*q^(23/2))*x1^(-9)*x2^(-5) + (-2*q^(59/2) - 2*q^(57/2) - 2*q^(55/2) - 2*q^(53/2) - 2*q^(51/2) - 2*q^(49/2) - 6*q^(47/2) - 2*q^(45/2) - 2*q^(43/2) - 2*q^(41/2) - 6*q^(39/2) - 6*q^(37/2) - 6*q^(35/2) - 6*q^(33/2) - 6*q^(31/2) - 2*q^(29/2))*x1^(-9)*x2^(-6) + (2*q^(61/2) + 2*q^(49/2) + 2*q^(41/2) + 2*q^(37/2))*x1^(-9)*x2^(-7)

Braid

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

Multivariable Alexander polynomial

ΔL
A1^(2) + A1*A2 - 2*A1 + 2*A1*A2^(-1) + A2^(2) - 2*A2 + 3 - 2*A2^(-1) + A2^(-2) + 2*A1^(-1)*A2 - 2*A1^(-1) + A1^(-1)*A2^(-1) + A1^(-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
(0, -4) yes
(4, 0) yes
(0, 4) yes
(-4, 0) yes
Dual Thurston polygon-505-505h1h2

HFL polytope

Poincaré polynomial
m^(-6)*A1^(-5/2)*A2^(-1/2) + m^(-6)*A1^(-3/2)*A2^(-3/2) + m^(-6)*A1^(-1/2)*A2^(-5/2) + m^(-5)*A1^(-5/2)*A2^(1/2) + 4*m^(-5)*A1^(-3/2)*A2^(-1/2) + 4*m^(-5)*A1^(-1/2)*A2^(-3/2) + m^(-5)*A1^(1/2)*A2^(-5/2) + 5*m^(-4)*A1^(-3/2)*A2^(1/2) + 8*m^(-4)*A1^(-1/2)*A2^(-1/2) + 5*m^(-4)*A1^(1/2)*A2^(-3/2) + 2*m^(-3)*A1^(-3/2)*A2^(3/2) + 9*m^(-3)*A1^(-1/2)*A2^(1/2) + 9*m^(-3)*A1^(1/2)*A2^(-1/2) + 2*m^(-3)*A1^(3/2)*A2^(-3/2) + 5*m^(-2)*A1^(-1/2)*A2^(3/2) + 8*m^(-2)*A1^(1/2)*A2^(1/2) + 5*m^(-2)*A1^(3/2)*A2^(-1/2) + m^(-1)*A1^(-1/2)*A2^(5/2) + 4*m^(-1)*A1^(1/2)*A2^(3/2) + 4*m^(-1)*A1^(3/2)*A2^(1/2) + m^(-1)*A1^(5/2)*A2^(-1/2) + A1^(1/2)*A2^(5/2) + A1^(3/2)*A2^(3/2) + A1^(5/2)*A2^(1/2)
VertexMaslovRank
(-5/2, -1/2)-61
(-1/2, -5/2)-61
(1/2, -5/2)-51
(5/2, -1/2)-11
(5/2, 1/2)01
(1/2, 5/2)01
(-1/2, 5/2)-11
(-5/2, 1/2)-51
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 272
namestring L10a115{1}
statusstring success
slugstring L10a115_1_e2726939
result_filestring details/L10a115_1_e2726939.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 4
total_rankOption(int) 84
wall_secondsOption(float) 0.001611
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 24
vertex_countOption(int) 8
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 13
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a115_1_e2726939"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a115_1_e2726939