details/L10a114_1_902e0489.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(1, -2) (1/2, 1) x1^(-1)x2^(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, 1, 1]}
 
(q^(17/2))*x1^(-6)*x2^(7) + (q^(19/2) + q^(17/2))*x1^(-6)*x2^(8) + (q^(21/2) + q^(19/2) + q^(17/2))*x1^(-6)*x2^(9) + (-q^(11/2))*x1^(-5)*x2^(6) + (-q^(15/2) - q^(13/2) - q^(11/2))*x1^(-5)*x2^(7) + (-q^(17/2) - 3*q^(15/2) - q^(13/2) - q^(11/2))*x1^(-5)*x2^(8) + (-q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 2*q^(13/2) - q^(11/2))*x1^(-5)*x2^(9) + (q^(9/2))*x1^(-4)*x2^(6) + (q^(11/2) + 2*q^(9/2))*x1^(-4)*x2^(7) + (2*q^(13/2) + 3*q^(11/2) + 3*q^(9/2) + q^(7/2))*x1^(-4)*x2^(8) + (2*q^(15/2) + 4*q^(13/2) + 6*q^(11/2) + 5*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(-4)*x2^(9) + (-q^(7/2) - q^(5/2))*x1^(-3)*x2^(7) + (-q^(9/2) - 2*q^(7/2) - 3*q^(5/2) - q^(3/2))*x1^(-3)*x2^(8) + (-q^(11/2) - 3*q^(9/2) - 5*q^(7/2) - 6*q^(5/2) - 4*q^(3/2) - 2*q^(1/2))*x1^(-3)*x2^(9) + (q^(-1/2))*x1^(-2)*x2^(3) + (q^(-1/2))*x1^(-2)*x2^(4) + (q^(-1/2))*x1^(-2)*x2^(5) + (q^(-1/2))*x1^(-2)*x2^(6) + (q^(-1/2))*x1^(-2)*x2^(7) + (q^(3/2) + q^(1/2) + 2*q^(-1/2))*x1^(-2)*x2^(8) + (q^(5/2) + 2*q^(3/2) + 3*q^(1/2) + 5*q^(-1/2) + 2*q^(-3/2) + q^(-5/2))*x1^(-2)*x2^(9) + (-q^(-3/2))*x1^(-1)*x2^(2) + (-q^(-3/2))*x1^(-1)*x2^(3) + (-2*q^(-3/2))*x1^(-1)*x2^(4) + (-2*q^(-3/2) - q^(-5/2))*x1^(-1)*x2^(5) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2))*x1^(-1)*x2^(6) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2) - q^(-9/2))*x1^(-1)*x2^(7) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(-1)*x2^(8) + (-3*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2) - q^(-11/2) - q^(-13/2))*x1^(-1)*x2^(9) + (q^(-5/2))*x2^(3) + (q^(-5/2) + q^(-7/2))*x2^(4) + (q^(-5/2) + 2*q^(-7/2) + q^(-9/2))*x2^(5) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 2*q^(-11/2))*x2^(6) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 2*q^(-13/2) + q^(-15/2))*x2^(7) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 3*q^(-15/2) + q^(-17/2) + q^(-19/2))*x2^(8) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 4*q^(-15/2) + 3*q^(-17/2) + 2*q^(-19/2) + q^(-21/2) + q^(-23/2))*x2^(9) + (-q^(-9/2))*x1*x2^(4) + (-q^(-9/2) - q^(-11/2) - q^(-13/2))*x1*x2^(5) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - q^(-15/2) - q^(-17/2))*x1*x2^(6) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 3*q^(-17/2) - 2*q^(-19/2) - q^(-21/2))*x1*x2^(7) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 4*q^(-19/2) - 4*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2))*x1*x2^(8) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 6*q^(-19/2) - 6*q^(-21/2) - 5*q^(-23/2) - 5*q^(-25/2) - 3*q^(-27/2) - 2*q^(-29/2) - q^(-31/2))*x1*x2^(9) + (q^(-15/2))*x1^(2)*x2^(5) + (q^(-15/2) + q^(-17/2) + q^(-19/2) + q^(-21/2))*x1^(2)*x2^(6) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 3*q^(-21/2) + 2*q^(-23/2) + q^(-25/2) + q^(-27/2))*x1^(2)*x2^(7) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 4*q^(-21/2) + 4*q^(-23/2) + 4*q^(-25/2) + 4*q^(-27/2) + 3*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(2)*x2^(8) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 4*q^(-21/2) + 5*q^(-23/2) + 6*q^(-25/2) + 7*q^(-27/2) + 7*q^(-29/2) + 6*q^(-31/2) + 5*q^(-33/2) + 3*q^(-35/2) + 2*q^(-37/2) + q^(-39/2))*x1^(2)*x2^(9) + (-q^(-23/2))*x1^(3)*x2^(6) + (-q^(-23/2) - q^(-25/2) - q^(-27/2) - q^(-29/2) - q^(-31/2))*x1^(3)*x2^(7) + (-q^(-23/2) - q^(-25/2) - 2*q^(-27/2) - 2*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) - q^(-39/2))*x1^(3)*x2^(8) + (-q^(-23/2) - q^(-25/2) - 2*q^(-27/2) - 3*q^(-29/2) - 5*q^(-31/2) - 5*q^(-33/2) - 6*q^(-35/2) - 5*q^(-37/2) - 5*q^(-39/2) - 4*q^(-41/2) - 2*q^(-43/2) - q^(-45/2) - q^(-47/2))*x1^(3)*x2^(9) + (q^(-33/2))*x1^(4)*x2^(7) + (q^(-33/2) + q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(4)*x2^(8) + (q^(-33/2) + q^(-35/2) + 2*q^(-37/2) + 2*q^(-39/2) + 3*q^(-41/2) + 4*q^(-43/2) + 3*q^(-45/2) + 2*q^(-47/2) + 2*q^(-49/2) + q^(-51/2) + q^(-53/2))*x1^(4)*x2^(9) + (-q^(-45/2))*x1^(5)*x2^(8) + (-q^(-45/2) - q^(-47/2) - q^(-49/2) - q^(-51/2) - q^(-53/2) - q^(-55/2) - q^(-57/2))*x1^(5)*x2^(9) + (q^(-59/2))*x1^(6)*x2^(9)
(1, -2) (1/2, 1) x1^(-1)x2^(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, 1, 1]}
 
(q^(17/2))*x1^(-6)*x2^(7) + (q^(19/2) + q^(17/2))*x1^(-6)*x2^(8) + (q^(21/2) + q^(19/2) + q^(17/2))*x1^(-6)*x2^(9) + (-q^(11/2))*x1^(-5)*x2^(6) + (-q^(15/2) - q^(13/2) - q^(11/2))*x1^(-5)*x2^(7) + (-q^(17/2) - 3*q^(15/2) - q^(13/2) - q^(11/2))*x1^(-5)*x2^(8) + (-q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 2*q^(13/2) - q^(11/2))*x1^(-5)*x2^(9) + (q^(9/2))*x1^(-4)*x2^(6) + (q^(11/2) + 2*q^(9/2))*x1^(-4)*x2^(7) + (2*q^(13/2) + 3*q^(11/2) + 3*q^(9/2) + q^(7/2))*x1^(-4)*x2^(8) + (2*q^(15/2) + 4*q^(13/2) + 6*q^(11/2) + 5*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(-4)*x2^(9) + (-q^(7/2) - q^(5/2))*x1^(-3)*x2^(7) + (-q^(9/2) - 2*q^(7/2) - 3*q^(5/2) - q^(3/2))*x1^(-3)*x2^(8) + (-q^(11/2) - 3*q^(9/2) - 5*q^(7/2) - 6*q^(5/2) - 4*q^(3/2) - 2*q^(1/2))*x1^(-3)*x2^(9) + (q^(-1/2))*x1^(-2)*x2^(3) + (q^(-1/2))*x1^(-2)*x2^(4) + (q^(-1/2))*x1^(-2)*x2^(5) + (q^(-1/2))*x1^(-2)*x2^(6) + (q^(-1/2))*x1^(-2)*x2^(7) + (q^(3/2) + q^(1/2) + 2*q^(-1/2))*x1^(-2)*x2^(8) + (q^(5/2) + 2*q^(3/2) + 3*q^(1/2) + 5*q^(-1/2) + 2*q^(-3/2) + q^(-5/2))*x1^(-2)*x2^(9) + (-q^(-3/2))*x1^(-1)*x2^(2) + (-q^(-3/2))*x1^(-1)*x2^(3) + (-2*q^(-3/2))*x1^(-1)*x2^(4) + (-2*q^(-3/2) - q^(-5/2))*x1^(-1)*x2^(5) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2))*x1^(-1)*x2^(6) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2) - q^(-9/2))*x1^(-1)*x2^(7) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(-1)*x2^(8) + (-3*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2) - q^(-11/2) - q^(-13/2))*x1^(-1)*x2^(9) + (q^(-5/2))*x2^(3) + (q^(-5/2) + q^(-7/2))*x2^(4) + (q^(-5/2) + 2*q^(-7/2) + q^(-9/2))*x2^(5) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 2*q^(-11/2))*x2^(6) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 2*q^(-13/2) + q^(-15/2))*x2^(7) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 3*q^(-15/2) + q^(-17/2) + q^(-19/2))*x2^(8) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 4*q^(-15/2) + 3*q^(-17/2) + 2*q^(-19/2) + q^(-21/2) + q^(-23/2))*x2^(9) + (-q^(-9/2))*x1*x2^(4) + (-q^(-9/2) - q^(-11/2) - q^(-13/2))*x1*x2^(5) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - q^(-15/2) - q^(-17/2))*x1*x2^(6) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 3*q^(-17/2) - 2*q^(-19/2) - q^(-21/2))*x1*x2^(7) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 4*q^(-19/2) - 4*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2))*x1*x2^(8) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 6*q^(-19/2) - 6*q^(-21/2) - 5*q^(-23/2) - 5*q^(-25/2) - 3*q^(-27/2) - 2*q^(-29/2) - q^(-31/2))*x1*x2^(9) + (q^(-15/2))*x1^(2)*x2^(5) + (q^(-15/2) + q^(-17/2) + q^(-19/2) + q^(-21/2))*x1^(2)*x2^(6) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 3*q^(-21/2) + 2*q^(-23/2) + q^(-25/2) + q^(-27/2))*x1^(2)*x2^(7) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 4*q^(-21/2) + 4*q^(-23/2) + 4*q^(-25/2) + 4*q^(-27/2) + 3*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(2)*x2^(8) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 4*q^(-21/2) + 5*q^(-23/2) + 6*q^(-25/2) + 7*q^(-27/2) + 7*q^(-29/2) + 6*q^(-31/2) + 5*q^(-33/2) + 3*q^(-35/2) + 2*q^(-37/2) + q^(-39/2))*x1^(2)*x2^(9) + (-q^(-23/2))*x1^(3)*x2^(6) + (-q^(-23/2) - q^(-25/2) - q^(-27/2) - q^(-29/2) - q^(-31/2))*x1^(3)*x2^(7) + (-q^(-23/2) - q^(-25/2) - 2*q^(-27/2) - 2*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) - q^(-39/2))*x1^(3)*x2^(8) + (-q^(-23/2) - q^(-25/2) - 2*q^(-27/2) - 3*q^(-29/2) - 5*q^(-31/2) - 5*q^(-33/2) - 6*q^(-35/2) - 5*q^(-37/2) - 5*q^(-39/2) - 4*q^(-41/2) - 2*q^(-43/2) - q^(-45/2) - q^(-47/2))*x1^(3)*x2^(9) + (q^(-33/2))*x1^(4)*x2^(7) + (q^(-33/2) + q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(4)*x2^(8) + (q^(-33/2) + q^(-35/2) + 2*q^(-37/2) + 2*q^(-39/2) + 3*q^(-41/2) + 4*q^(-43/2) + 3*q^(-45/2) + 2*q^(-47/2) + 2*q^(-49/2) + q^(-51/2) + q^(-53/2))*x1^(4)*x2^(9) + (-q^(-45/2))*x1^(5)*x2^(8) + (-q^(-45/2) - q^(-47/2) - q^(-49/2) - q^(-51/2) - q^(-53/2) - q^(-55/2) - q^(-57/2))*x1^(5)*x2^(9) + (q^(-59/2))*x1^(6)*x2^(9)
(-1, 2) x1^(1)x2^(-2) q^(-59/2) 
(q^(17/2))*x1^(6)*x2^(-7) + (q^(19/2) + q^(17/2))*x1^(6)*x2^(-8) + (q^(21/2) + q^(19/2) + q^(17/2))*x1^(6)*x2^(-9) + (-q^(11/2))*x1^(5)*x2^(-6) + (-q^(15/2) - q^(13/2) - q^(11/2))*x1^(5)*x2^(-7) + (-q^(17/2) - 3*q^(15/2) - q^(13/2) - q^(11/2))*x1^(5)*x2^(-8) + (-q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 2*q^(13/2) - q^(11/2))*x1^(5)*x2^(-9) + (q^(9/2))*x1^(4)*x2^(-6) + (q^(11/2) + 2*q^(9/2))*x1^(4)*x2^(-7) + (2*q^(13/2) + 3*q^(11/2) + 3*q^(9/2) + q^(7/2))*x1^(4)*x2^(-8) + (2*q^(15/2) + 4*q^(13/2) + 6*q^(11/2) + 5*q^(9/2) + 2*q^(7/2) + q^(5/2))*x1^(4)*x2^(-9) + (-q^(7/2) - q^(5/2))*x1^(3)*x2^(-7) + (-q^(9/2) - 2*q^(7/2) - 3*q^(5/2) - q^(3/2))*x1^(3)*x2^(-8) + (-q^(11/2) - 3*q^(9/2) - 5*q^(7/2) - 6*q^(5/2) - 4*q^(3/2) - 2*q^(1/2))*x1^(3)*x2^(-9) + (q^(-1/2))*x1^(2)*x2^(-3) + (q^(-1/2))*x1^(2)*x2^(-4) + (q^(-1/2))*x1^(2)*x2^(-5) + (q^(-1/2))*x1^(2)*x2^(-6) + (q^(-1/2))*x1^(2)*x2^(-7) + (q^(3/2) + q^(1/2) + 2*q^(-1/2))*x1^(2)*x2^(-8) + (q^(5/2) + 2*q^(3/2) + 3*q^(1/2) + 5*q^(-1/2) + 2*q^(-3/2) + q^(-5/2))*x1^(2)*x2^(-9) + (-q^(-3/2))*x1*x2^(-2) + (-q^(-3/2))*x1*x2^(-3) + (-2*q^(-3/2))*x1*x2^(-4) + (-2*q^(-3/2) - q^(-5/2))*x1*x2^(-5) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2))*x1*x2^(-6) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2) - q^(-9/2))*x1*x2^(-7) + (-2*q^(-3/2) - q^(-5/2) - q^(-7/2) - q^(-9/2) - q^(-11/2))*x1*x2^(-8) + (-3*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2) - q^(-11/2) - q^(-13/2))*x1*x2^(-9) + (q^(-5/2))*x2^(-3) + (q^(-5/2) + q^(-7/2))*x2^(-4) + (q^(-5/2) + 2*q^(-7/2) + q^(-9/2))*x2^(-5) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 2*q^(-11/2))*x2^(-6) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 2*q^(-13/2) + q^(-15/2))*x2^(-7) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 3*q^(-15/2) + q^(-17/2) + q^(-19/2))*x2^(-8) + (q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 4*q^(-15/2) + 3*q^(-17/2) + 2*q^(-19/2) + q^(-21/2) + q^(-23/2))*x2^(-9) + (-q^(-9/2))*x1^(-1)*x2^(-4) + (-q^(-9/2) - q^(-11/2) - q^(-13/2))*x1^(-1)*x2^(-5) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - q^(-15/2) - q^(-17/2))*x1^(-1)*x2^(-6) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 3*q^(-17/2) - 2*q^(-19/2) - q^(-21/2))*x1^(-1)*x2^(-7) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 4*q^(-19/2) - 4*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2))*x1^(-1)*x2^(-8) + (-q^(-9/2) - q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 6*q^(-19/2) - 6*q^(-21/2) - 5*q^(-23/2) - 5*q^(-25/2) - 3*q^(-27/2) - 2*q^(-29/2) - q^(-31/2))*x1^(-1)*x2^(-9) + (q^(-15/2))*x1^(-2)*x2^(-5) + (q^(-15/2) + q^(-17/2) + q^(-19/2) + q^(-21/2))*x1^(-2)*x2^(-6) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 3*q^(-21/2) + 2*q^(-23/2) + q^(-25/2) + q^(-27/2))*x1^(-2)*x2^(-7) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 4*q^(-21/2) + 4*q^(-23/2) + 4*q^(-25/2) + 4*q^(-27/2) + 3*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(-2)*x2^(-8) + (q^(-15/2) + q^(-17/2) + 2*q^(-19/2) + 4*q^(-21/2) + 5*q^(-23/2) + 6*q^(-25/2) + 7*q^(-27/2) + 7*q^(-29/2) + 6*q^(-31/2) + 5*q^(-33/2) + 3*q^(-35/2) + 2*q^(-37/2) + q^(-39/2))*x1^(-2)*x2^(-9) + (-q^(-23/2))*x1^(-3)*x2^(-6) + (-q^(-23/2) - q^(-25/2) - q^(-27/2) - q^(-29/2) - q^(-31/2))*x1^(-3)*x2^(-7) + (-q^(-23/2) - q^(-25/2) - 2*q^(-27/2) - 2*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) - q^(-39/2))*x1^(-3)*x2^(-8) + (-q^(-23/2) - q^(-25/2) - 2*q^(-27/2) - 3*q^(-29/2) - 5*q^(-31/2) - 5*q^(-33/2) - 6*q^(-35/2) - 5*q^(-37/2) - 5*q^(-39/2) - 4*q^(-41/2) - 2*q^(-43/2) - q^(-45/2) - q^(-47/2))*x1^(-3)*x2^(-9) + (q^(-33/2))*x1^(-4)*x2^(-7) + (q^(-33/2) + q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(-4)*x2^(-8) + (q^(-33/2) + q^(-35/2) + 2*q^(-37/2) + 2*q^(-39/2) + 3*q^(-41/2) + 4*q^(-43/2) + 3*q^(-45/2) + 2*q^(-47/2) + 2*q^(-49/2) + q^(-51/2) + q^(-53/2))*x1^(-4)*x2^(-9) + (-q^(-45/2))*x1^(-5)*x2^(-8) + (-q^(-45/2) - q^(-47/2) - q^(-49/2) - q^(-51/2) - q^(-53/2) - q^(-55/2) - q^(-57/2))*x1^(-5)*x2^(-9) + (q^(-59/2))*x1^(-6)*x2^(-9)

Braid

Braid word Components Crossings Strands
[1, -2, -1, -1, -1, -1, -3, -4, 3, -4, -3, -2, 3] 2 13 5

Multivariable Alexander polynomial

ΔL
A1^(2)*A2^(-1) + A1 - A1*A2^(-1) + A1*A2^(-2) + A2 - 1 + A2^(-1) + A1^(-1)*A2^(2) - A1^(-1)*A2 + A1^(-1) + A1^(-2)*A2

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
(2, -4) yes
(4, -2) yes
(-2, 4) yes
(-4, 2) yes
Dual Thurston polygon-505-505h1h2

HFL polytope

Poincaré polynomial
m^(-4)*A1^(-5/2)*A2^(1/2) + m^(-4)*A1^(-3/2)*A2^(-1/2) + m^(-4)*A1^(-1/2)*A2^(-3/2) + m^(-4)*A1^(1/2)*A2^(-5/2) + m^(-3)*A1^(-5/2)*A2^(3/2) + 3*m^(-3)*A1^(-3/2)*A2^(1/2) + 3*m^(-3)*A1^(-1/2)*A2^(-1/2) + 3*m^(-3)*A1^(1/2)*A2^(-3/2) + m^(-3)*A1^(3/2)*A2^(-5/2) + 3*m^(-2)*A1^(-3/2)*A2^(3/2) + 4*m^(-2)*A1^(-1/2)*A2^(1/2) + 4*m^(-2)*A1^(1/2)*A2^(-1/2) + 3*m^(-2)*A1^(3/2)*A2^(-3/2) + m^(-1)*A1^(-3/2)*A2^(5/2) + 3*m^(-1)*A1^(-1/2)*A2^(3/2) + 3*m^(-1)*A1^(1/2)*A2^(1/2) + 3*m^(-1)*A1^(3/2)*A2^(-1/2) + m^(-1)*A1^(5/2)*A2^(-3/2) + A1^(-1/2)*A2^(5/2) + A1^(1/2)*A2^(3/2) + A1^(3/2)*A2^(1/2) + A1^(5/2)*A2^(-1/2)
VertexMaslovRank
(-5/2, 1/2)-41
(1/2, -5/2)-41
(3/2, -5/2)-31
(5/2, -3/2)-11
(5/2, -1/2)01
(-1/2, 5/2)01
(-3/2, 5/2)-11
(-5/2, 3/2)-31
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 270
namestring L10a114{1}
statusstring success
slugstring L10a114_1_902e0489
result_filestring details/L10a114_1_902e0489.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 4
total_rankOption(int) 44
wall_secondsOption(float) 0.00283
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 22
vertex_countOption(int) 8
fibered_vertex_countOption(int) 4
polytope_statusstring computed
alexander_support_sizeOption(int) 11
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a114_1_902e0489"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a114_1_902e0489