details/L9a28_0_cdcdf8d7.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(-1, -2) (1, 1) x1^(1)x2^(2) q^(-3/2)
{"0": [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], "1": [-1, 1, -1, 1, -1, 1]}
(-q^(-3/2))*x1*x2^(2) + (-2*q^(-3/2))*x1*x2^(3) + (2*q^(-5/2))*x1^(2)*x2^(3) + (q^(-1/2) - 3*q^(-3/2))*x1*x2^(4) + (4*q^(-5/2) + q^(-7/2))*x1^(2)*x2^(4) + (-q^(-7/2) - q^(-9/2))*x1^(3)*x2^(4) + (2*q^(1/2) + 2*q^(-1/2) - 4*q^(-3/2))*x1*x2^(5) + (-q^(-1/2) - 2*q^(-3/2) + 6*q^(-5/2) + 2*q^(-7/2) + q^(-9/2))*x1^(2)*x2^(5) + (-2*q^(-7/2) - 3*q^(-9/2) - q^(-13/2))*x1^(3)*x2^(5) + (q^(-11/2) - 2*q^(-13/2) + q^(-15/2))*x1^(4)*x2^(5) + (2*q^(3/2) + 4*q^(1/2) + 3*q^(-1/2) - 5*q^(-3/2))*x1*x2^(6) + (-2*q^(1/2) - 6*q^(-1/2) - 5*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2) + 2*q^(-9/2) + q^(-11/2))*x1^(2)*x2^(6) + (2*q^(-3/2) + 2*q^(-5/2) - 2*q^(-7/2) - 5*q^(-9/2) - q^(-11/2) - 2*q^(-13/2) - q^(-15/2) - q^(-17/2))*x1^(3)*x2^(6) + (2*q^(-11/2) - 4*q^(-13/2) + q^(-19/2) + q^(-21/2))*x1^(4)*x2^(6) + (q^(-15/2) + q^(-17/2) + 3*q^(-19/2) - q^(-23/2))*x1^(5)*x2^(6) + (-2*q^(7/2) + 2*q^(5/2) + 4*q^(3/2) + 6*q^(1/2) + 4*q^(-1/2) - 6*q^(-3/2))*x1*x2^(7) + (q^(5/2) - 2*q^(3/2) - 8*q^(1/2) - 13*q^(-1/2) - 10*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2) + 3*q^(-9/2) + 2*q^(-11/2) + q^(-13/2))*x1^(2)*x2^(7) + (4*q^(-1/2) + 8*q^(-3/2) + 8*q^(-5/2) - 6*q^(-9/2) - q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - 3*q^(-17/2) - q^(-19/2) - q^(-21/2))*x1^(3)*x2^(7) + (-q^(-5/2) - 2*q^(-7/2) - q^(-9/2) + 4*q^(-11/2) - 7*q^(-13/2) - 2*q^(-15/2) - 3*q^(-17/2) + 3*q^(-19/2) + 3*q^(-21/2) + 2*q^(-23/2) + q^(-25/2) + q^(-27/2))*x1^(4)*x2^(7) + (2*q^(-15/2) + 5*q^(-17/2) + 10*q^(-19/2) + 5*q^(-21/2) - 2*q^(-23/2) - q^(-25/2) - q^(-27/2) - q^(-29/2) - q^(-31/2))*x1^(5)*x2^(7) + (-q^(-19/2) - 2*q^(-21/2) - 4*q^(-23/2) - q^(-25/2) - q^(-27/2) + q^(-33/2))*x1^(6)*x2^(7) + (-3*q^(11/2) - 3*q^(9/2) - 2*q^(7/2) + 4*q^(5/2) + 6*q^(3/2) + 8*q^(1/2) + 5*q^(-1/2) - 7*q^(-3/2))*x1*x2^(8) + (2*q^(9/2) + 4*q^(7/2) + 4*q^(5/2) - 7*q^(3/2) - 16*q^(1/2) - 22*q^(-1/2) - 17*q^(-3/2) + 5*q^(-5/2) + 2*q^(-7/2) + 3*q^(-9/2) + 3*q^(-11/2) + 2*q^(-13/2) + q^(-15/2))*x1^(2)*x2^(8) + (-q^(5/2) - 2*q^(3/2) + 3*q^(1/2) + 12*q^(-1/2) + 20*q^(-3/2) + 18*q^(-5/2) + 6*q^(-7/2) - 3*q^(-9/2) + q^(-11/2) - 4*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 3*q^(-19/2) - 3*q^(-21/2) - q^(-23/2) - q^(-25/2))*x1^(3)*x2^(8) + (-2*q^(-3/2) - 6*q^(-5/2) - 7*q^(-7/2) - q^(-9/2) + 5*q^(-11/2) - 10*q^(-13/2) - 6*q^(-15/2) - 10*q^(-17/2) + 6*q^(-21/2) + 6*q^(-23/2) + 4*q^(-25/2) + 4*q^(-27/2) + 2*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(4)*x2^(8) + (q^(-9/2) - q^(-11/2) - 2*q^(-13/2) + q^(-15/2) + 7*q^(-17/2) + 23*q^(-19/2) + 19*q^(-21/2) + 5*q^(-23/2) - q^(-25/2) - 3*q^(-27/2) - 5*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) - q^(-39/2))*x1^(5)*x2^(8) + (-2*q^(-19/2) - 6*q^(-21/2) - 15*q^(-23/2) - 11*q^(-25/2) - 8*q^(-27/2) - 3*q^(-29/2) + q^(-31/2) + 3*q^(-33/2) + q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(6)*x2^(8) + (2*q^(-25/2) + 2*q^(-27/2) + 3*q^(-29/2) + 3*q^(-31/2) + q^(-33/2) - 3*q^(-35/2) + q^(-37/2) - q^(-45/2))*x1^(7)*x2^(8) + (-2*q^(15/2) - 4*q^(13/2) - 10*q^(11/2) - 4*q^(9/2) - 2*q^(7/2) + 6*q^(5/2) + 8*q^(3/2) + 10*q^(1/2) + 6*q^(-1/2) - 8*q^(-3/2))*x1*x2^(9) + (2*q^(13/2) + 6*q^(11/2) + 16*q^(9/2) + 14*q^(7/2) + 7*q^(5/2) - 12*q^(3/2) - 25*q^(1/2) - 33*q^(-1/2) - 26*q^(-3/2) + q^(-5/2) - q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 2*q^(-15/2) + q^(-17/2))*x1^(2)*x2^(9) + (-2*q^(9/2) - 6*q^(7/2) - 12*q^(5/2) - 7*q^(3/2) + 5*q^(1/2) + 25*q^(-1/2) + 35*q^(-3/2) + 34*q^(-5/2) + 18*q^(-7/2) + 6*q^(-9/2) + 9*q^(-11/2) - q^(-15/2) - 6*q^(-17/2) - 4*q^(-19/2) - 6*q^(-21/2) - 3*q^(-23/2) - 3*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(3)*x2^(9) + (2*q^(3/2) + 2*q^(1/2) + q^(-1/2) - 8*q^(-3/2) - 14*q^(-5/2) - 12*q^(-7/2) - 2*q^(-9/2) + 7*q^(-11/2) - 14*q^(-13/2) - 15*q^(-15/2) - 24*q^(-17/2) - 11*q^(-19/2) + 9*q^(-23/2) + 8*q^(-25/2) + 10*q^(-27/2) + 6*q^(-29/2) + 5*q^(-31/2) + 4*q^(-33/2) + 2*q^(-35/2) + q^(-37/2) + q^(-39/2))*x1^(4)*x2^(9) + (2*q^(-7/2) - 6*q^(-11/2) - 13*q^(-13/2) - 14*q^(-15/2) + 2*q^(-17/2) + 36*q^(-19/2) + 44*q^(-21/2) + 28*q^(-23/2) + 14*q^(-25/2) - 8*q^(-29/2) - 10*q^(-31/2) - 8*q^(-33/2) - 8*q^(-35/2) - 5*q^(-37/2) - 5*q^(-39/2) - 3*q^(-41/2) - 2*q^(-43/2) - q^(-45/2) - q^(-47/2))*x1^(5)*x2^(9) + (q^(-13/2) + 2*q^(-15/2) + 6*q^(-17/2) + 5*q^(-19/2) - 5*q^(-21/2) - 28*q^(-23/2) - 33*q^(-25/2) - 33*q^(-27/2) - 20*q^(-29/2) - 7*q^(-31/2) + 4*q^(-33/2) + 2*q^(-35/2) + 4*q^(-37/2) + 4*q^(-39/2) + 5*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^(6)*x2^(9) + (4*q^(-25/2) + 8*q^(-27/2) + 13*q^(-29/2) + 16*q^(-31/2) + 10*q^(-33/2) - 3*q^(-35/2) - 2*q^(-45/2) - q^(-47/2) - q^(-49/2) - q^(-51/2) - q^(-53/2) - q^(-55/2) - q^(-57/2))*x1^(7)*x2^(9) + (-q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2) + 3*q^(-45/2) - q^(-49/2) + q^(-59/2))*x1^(8)*x2^(9)
(-1, -2) (1, 1) x1^(1)x2^(2) q^(-3/2)
{"0": [1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1], "1": [-1, 1, -1, 1, -1, 1]}
(-q^(-3/2))*x1*x2^(2) + (-2*q^(-3/2))*x1*x2^(3) + (2*q^(-5/2))*x1^(2)*x2^(3) + (q^(-1/2) - 3*q^(-3/2))*x1*x2^(4) + (4*q^(-5/2) + q^(-7/2))*x1^(2)*x2^(4) + (-q^(-7/2) - q^(-9/2))*x1^(3)*x2^(4) + (2*q^(1/2) + 2*q^(-1/2) - 4*q^(-3/2))*x1*x2^(5) + (-q^(-1/2) - 2*q^(-3/2) + 6*q^(-5/2) + 2*q^(-7/2) + q^(-9/2))*x1^(2)*x2^(5) + (-2*q^(-7/2) - 3*q^(-9/2) - q^(-13/2))*x1^(3)*x2^(5) + (q^(-11/2) - 2*q^(-13/2) + q^(-15/2))*x1^(4)*x2^(5) + (2*q^(3/2) + 4*q^(1/2) + 3*q^(-1/2) - 5*q^(-3/2))*x1*x2^(6) + (-2*q^(1/2) - 6*q^(-1/2) - 5*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2) + 2*q^(-9/2) + q^(-11/2))*x1^(2)*x2^(6) + (2*q^(-3/2) + 2*q^(-5/2) - 2*q^(-7/2) - 5*q^(-9/2) - q^(-11/2) - 2*q^(-13/2) - q^(-15/2) - q^(-17/2))*x1^(3)*x2^(6) + (2*q^(-11/2) - 4*q^(-13/2) + q^(-19/2) + q^(-21/2))*x1^(4)*x2^(6) + (q^(-15/2) + q^(-17/2) + 3*q^(-19/2) - q^(-23/2))*x1^(5)*x2^(6) + (-2*q^(7/2) + 2*q^(5/2) + 4*q^(3/2) + 6*q^(1/2) + 4*q^(-1/2) - 6*q^(-3/2))*x1*x2^(7) + (q^(5/2) - 2*q^(3/2) - 8*q^(1/2) - 13*q^(-1/2) - 10*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2) + 3*q^(-9/2) + 2*q^(-11/2) + q^(-13/2))*x1^(2)*x2^(7) + (4*q^(-1/2) + 8*q^(-3/2) + 8*q^(-5/2) - 6*q^(-9/2) - q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - 3*q^(-17/2) - q^(-19/2) - q^(-21/2))*x1^(3)*x2^(7) + (-q^(-5/2) - 2*q^(-7/2) - q^(-9/2) + 4*q^(-11/2) - 7*q^(-13/2) - 2*q^(-15/2) - 3*q^(-17/2) + 3*q^(-19/2) + 3*q^(-21/2) + 2*q^(-23/2) + q^(-25/2) + q^(-27/2))*x1^(4)*x2^(7) + (2*q^(-15/2) + 5*q^(-17/2) + 10*q^(-19/2) + 5*q^(-21/2) - 2*q^(-23/2) - q^(-25/2) - q^(-27/2) - q^(-29/2) - q^(-31/2))*x1^(5)*x2^(7) + (-q^(-19/2) - 2*q^(-21/2) - 4*q^(-23/2) - q^(-25/2) - q^(-27/2) + q^(-33/2))*x1^(6)*x2^(7) + (-3*q^(11/2) - 3*q^(9/2) - 2*q^(7/2) + 4*q^(5/2) + 6*q^(3/2) + 8*q^(1/2) + 5*q^(-1/2) - 7*q^(-3/2))*x1*x2^(8) + (2*q^(9/2) + 4*q^(7/2) + 4*q^(5/2) - 7*q^(3/2) - 16*q^(1/2) - 22*q^(-1/2) - 17*q^(-3/2) + 5*q^(-5/2) + 2*q^(-7/2) + 3*q^(-9/2) + 3*q^(-11/2) + 2*q^(-13/2) + q^(-15/2))*x1^(2)*x2^(8) + (-q^(5/2) - 2*q^(3/2) + 3*q^(1/2) + 12*q^(-1/2) + 20*q^(-3/2) + 18*q^(-5/2) + 6*q^(-7/2) - 3*q^(-9/2) + q^(-11/2) - 4*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 3*q^(-19/2) - 3*q^(-21/2) - q^(-23/2) - q^(-25/2))*x1^(3)*x2^(8) + (-2*q^(-3/2) - 6*q^(-5/2) - 7*q^(-7/2) - q^(-9/2) + 5*q^(-11/2) - 10*q^(-13/2) - 6*q^(-15/2) - 10*q^(-17/2) + 6*q^(-21/2) + 6*q^(-23/2) + 4*q^(-25/2) + 4*q^(-27/2) + 2*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(4)*x2^(8) + (q^(-9/2) - q^(-11/2) - 2*q^(-13/2) + q^(-15/2) + 7*q^(-17/2) + 23*q^(-19/2) + 19*q^(-21/2) + 5*q^(-23/2) - q^(-25/2) - 3*q^(-27/2) - 5*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) - q^(-39/2))*x1^(5)*x2^(8) + (-2*q^(-19/2) - 6*q^(-21/2) - 15*q^(-23/2) - 11*q^(-25/2) - 8*q^(-27/2) - 3*q^(-29/2) + q^(-31/2) + 3*q^(-33/2) + q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(6)*x2^(8) + (2*q^(-25/2) + 2*q^(-27/2) + 3*q^(-29/2) + 3*q^(-31/2) + q^(-33/2) - 3*q^(-35/2) + q^(-37/2) - q^(-45/2))*x1^(7)*x2^(8) + (-2*q^(15/2) - 4*q^(13/2) - 10*q^(11/2) - 4*q^(9/2) - 2*q^(7/2) + 6*q^(5/2) + 8*q^(3/2) + 10*q^(1/2) + 6*q^(-1/2) - 8*q^(-3/2))*x1*x2^(9) + (2*q^(13/2) + 6*q^(11/2) + 16*q^(9/2) + 14*q^(7/2) + 7*q^(5/2) - 12*q^(3/2) - 25*q^(1/2) - 33*q^(-1/2) - 26*q^(-3/2) + q^(-5/2) - q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 2*q^(-15/2) + q^(-17/2))*x1^(2)*x2^(9) + (-2*q^(9/2) - 6*q^(7/2) - 12*q^(5/2) - 7*q^(3/2) + 5*q^(1/2) + 25*q^(-1/2) + 35*q^(-3/2) + 34*q^(-5/2) + 18*q^(-7/2) + 6*q^(-9/2) + 9*q^(-11/2) - q^(-15/2) - 6*q^(-17/2) - 4*q^(-19/2) - 6*q^(-21/2) - 3*q^(-23/2) - 3*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(3)*x2^(9) + (2*q^(3/2) + 2*q^(1/2) + q^(-1/2) - 8*q^(-3/2) - 14*q^(-5/2) - 12*q^(-7/2) - 2*q^(-9/2) + 7*q^(-11/2) - 14*q^(-13/2) - 15*q^(-15/2) - 24*q^(-17/2) - 11*q^(-19/2) + 9*q^(-23/2) + 8*q^(-25/2) + 10*q^(-27/2) + 6*q^(-29/2) + 5*q^(-31/2) + 4*q^(-33/2) + 2*q^(-35/2) + q^(-37/2) + q^(-39/2))*x1^(4)*x2^(9) + (2*q^(-7/2) - 6*q^(-11/2) - 13*q^(-13/2) - 14*q^(-15/2) + 2*q^(-17/2) + 36*q^(-19/2) + 44*q^(-21/2) + 28*q^(-23/2) + 14*q^(-25/2) - 8*q^(-29/2) - 10*q^(-31/2) - 8*q^(-33/2) - 8*q^(-35/2) - 5*q^(-37/2) - 5*q^(-39/2) - 3*q^(-41/2) - 2*q^(-43/2) - q^(-45/2) - q^(-47/2))*x1^(5)*x2^(9) + (q^(-13/2) + 2*q^(-15/2) + 6*q^(-17/2) + 5*q^(-19/2) - 5*q^(-21/2) - 28*q^(-23/2) - 33*q^(-25/2) - 33*q^(-27/2) - 20*q^(-29/2) - 7*q^(-31/2) + 4*q^(-33/2) + 2*q^(-35/2) + 4*q^(-37/2) + 4*q^(-39/2) + 5*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^(6)*x2^(9) + (4*q^(-25/2) + 8*q^(-27/2) + 13*q^(-29/2) + 16*q^(-31/2) + 10*q^(-33/2) - 3*q^(-35/2) - 2*q^(-45/2) - q^(-47/2) - q^(-49/2) - q^(-51/2) - q^(-53/2) - q^(-55/2) - q^(-57/2))*x1^(7)*x2^(9) + (-q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2) + 3*q^(-45/2) - q^(-49/2) + q^(-59/2))*x1^(8)*x2^(9)
(1, 2) x1^(-1)x2^(-2) q^(-3/2)
(-q^(-3/2))*x1^(-1)*x2^(-2) + (-2*q^(-3/2))*x1^(-1)*x2^(-3) + (2*q^(-5/2))*x1^(-2)*x2^(-3) + (q^(-1/2) - 3*q^(-3/2))*x1^(-1)*x2^(-4) + (4*q^(-5/2) + q^(-7/2))*x1^(-2)*x2^(-4) + (-q^(-7/2) - q^(-9/2))*x1^(-3)*x2^(-4) + (2*q^(1/2) + 2*q^(-1/2) - 4*q^(-3/2))*x1^(-1)*x2^(-5) + (-q^(-1/2) - 2*q^(-3/2) + 6*q^(-5/2) + 2*q^(-7/2) + q^(-9/2))*x1^(-2)*x2^(-5) + (-2*q^(-7/2) - 3*q^(-9/2) - q^(-13/2))*x1^(-3)*x2^(-5) + (q^(-11/2) - 2*q^(-13/2) + q^(-15/2))*x1^(-4)*x2^(-5) + (2*q^(3/2) + 4*q^(1/2) + 3*q^(-1/2) - 5*q^(-3/2))*x1^(-1)*x2^(-6) + (-2*q^(1/2) - 6*q^(-1/2) - 5*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2) + 2*q^(-9/2) + q^(-11/2))*x1^(-2)*x2^(-6) + (2*q^(-3/2) + 2*q^(-5/2) - 2*q^(-7/2) - 5*q^(-9/2) - q^(-11/2) - 2*q^(-13/2) - q^(-15/2) - q^(-17/2))*x1^(-3)*x2^(-6) + (2*q^(-11/2) - 4*q^(-13/2) + q^(-19/2) + q^(-21/2))*x1^(-4)*x2^(-6) + (q^(-15/2) + q^(-17/2) + 3*q^(-19/2) - q^(-23/2))*x1^(-5)*x2^(-6) + (-2*q^(7/2) + 2*q^(5/2) + 4*q^(3/2) + 6*q^(1/2) + 4*q^(-1/2) - 6*q^(-3/2))*x1^(-1)*x2^(-7) + (q^(5/2) - 2*q^(3/2) - 8*q^(1/2) - 13*q^(-1/2) - 10*q^(-3/2) + 7*q^(-5/2) + 3*q^(-7/2) + 3*q^(-9/2) + 2*q^(-11/2) + q^(-13/2))*x1^(-2)*x2^(-7) + (4*q^(-1/2) + 8*q^(-3/2) + 8*q^(-5/2) - 6*q^(-9/2) - q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - 3*q^(-17/2) - q^(-19/2) - q^(-21/2))*x1^(-3)*x2^(-7) + (-q^(-5/2) - 2*q^(-7/2) - q^(-9/2) + 4*q^(-11/2) - 7*q^(-13/2) - 2*q^(-15/2) - 3*q^(-17/2) + 3*q^(-19/2) + 3*q^(-21/2) + 2*q^(-23/2) + q^(-25/2) + q^(-27/2))*x1^(-4)*x2^(-7) + (2*q^(-15/2) + 5*q^(-17/2) + 10*q^(-19/2) + 5*q^(-21/2) - 2*q^(-23/2) - q^(-25/2) - q^(-27/2) - q^(-29/2) - q^(-31/2))*x1^(-5)*x2^(-7) + (-q^(-19/2) - 2*q^(-21/2) - 4*q^(-23/2) - q^(-25/2) - q^(-27/2) + q^(-33/2))*x1^(-6)*x2^(-7) + (-3*q^(11/2) - 3*q^(9/2) - 2*q^(7/2) + 4*q^(5/2) + 6*q^(3/2) + 8*q^(1/2) + 5*q^(-1/2) - 7*q^(-3/2))*x1^(-1)*x2^(-8) + (2*q^(9/2) + 4*q^(7/2) + 4*q^(5/2) - 7*q^(3/2) - 16*q^(1/2) - 22*q^(-1/2) - 17*q^(-3/2) + 5*q^(-5/2) + 2*q^(-7/2) + 3*q^(-9/2) + 3*q^(-11/2) + 2*q^(-13/2) + q^(-15/2))*x1^(-2)*x2^(-8) + (-q^(5/2) - 2*q^(3/2) + 3*q^(1/2) + 12*q^(-1/2) + 20*q^(-3/2) + 18*q^(-5/2) + 6*q^(-7/2) - 3*q^(-9/2) + q^(-11/2) - 4*q^(-13/2) - 3*q^(-15/2) - 5*q^(-17/2) - 3*q^(-19/2) - 3*q^(-21/2) - q^(-23/2) - q^(-25/2))*x1^(-3)*x2^(-8) + (-2*q^(-3/2) - 6*q^(-5/2) - 7*q^(-7/2) - q^(-9/2) + 5*q^(-11/2) - 10*q^(-13/2) - 6*q^(-15/2) - 10*q^(-17/2) + 6*q^(-21/2) + 6*q^(-23/2) + 4*q^(-25/2) + 4*q^(-27/2) + 2*q^(-29/2) + q^(-31/2) + q^(-33/2))*x1^(-4)*x2^(-8) + (q^(-9/2) - q^(-11/2) - 2*q^(-13/2) + q^(-15/2) + 7*q^(-17/2) + 23*q^(-19/2) + 19*q^(-21/2) + 5*q^(-23/2) - q^(-25/2) - 3*q^(-27/2) - 5*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) - q^(-39/2))*x1^(-5)*x2^(-8) + (-2*q^(-19/2) - 6*q^(-21/2) - 15*q^(-23/2) - 11*q^(-25/2) - 8*q^(-27/2) - 3*q^(-29/2) + q^(-31/2) + 3*q^(-33/2) + q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2))*x1^(-6)*x2^(-8) + (2*q^(-25/2) + 2*q^(-27/2) + 3*q^(-29/2) + 3*q^(-31/2) + q^(-33/2) - 3*q^(-35/2) + q^(-37/2) - q^(-45/2))*x1^(-7)*x2^(-8) + (-2*q^(15/2) - 4*q^(13/2) - 10*q^(11/2) - 4*q^(9/2) - 2*q^(7/2) + 6*q^(5/2) + 8*q^(3/2) + 10*q^(1/2) + 6*q^(-1/2) - 8*q^(-3/2))*x1^(-1)*x2^(-9) + (2*q^(13/2) + 6*q^(11/2) + 16*q^(9/2) + 14*q^(7/2) + 7*q^(5/2) - 12*q^(3/2) - 25*q^(1/2) - 33*q^(-1/2) - 26*q^(-3/2) + q^(-5/2) - q^(-7/2) + 2*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2) + 2*q^(-15/2) + q^(-17/2))*x1^(-2)*x2^(-9) + (-2*q^(9/2) - 6*q^(7/2) - 12*q^(5/2) - 7*q^(3/2) + 5*q^(1/2) + 25*q^(-1/2) + 35*q^(-3/2) + 34*q^(-5/2) + 18*q^(-7/2) + 6*q^(-9/2) + 9*q^(-11/2) - q^(-15/2) - 6*q^(-17/2) - 4*q^(-19/2) - 6*q^(-21/2) - 3*q^(-23/2) - 3*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(-3)*x2^(-9) + (2*q^(3/2) + 2*q^(1/2) + q^(-1/2) - 8*q^(-3/2) - 14*q^(-5/2) - 12*q^(-7/2) - 2*q^(-9/2) + 7*q^(-11/2) - 14*q^(-13/2) - 15*q^(-15/2) - 24*q^(-17/2) - 11*q^(-19/2) + 9*q^(-23/2) + 8*q^(-25/2) + 10*q^(-27/2) + 6*q^(-29/2) + 5*q^(-31/2) + 4*q^(-33/2) + 2*q^(-35/2) + q^(-37/2) + q^(-39/2))*x1^(-4)*x2^(-9) + (2*q^(-7/2) - 6*q^(-11/2) - 13*q^(-13/2) - 14*q^(-15/2) + 2*q^(-17/2) + 36*q^(-19/2) + 44*q^(-21/2) + 28*q^(-23/2) + 14*q^(-25/2) - 8*q^(-29/2) - 10*q^(-31/2) - 8*q^(-33/2) - 8*q^(-35/2) - 5*q^(-37/2) - 5*q^(-39/2) - 3*q^(-41/2) - 2*q^(-43/2) - q^(-45/2) - q^(-47/2))*x1^(-5)*x2^(-9) + (q^(-13/2) + 2*q^(-15/2) + 6*q^(-17/2) + 5*q^(-19/2) - 5*q^(-21/2) - 28*q^(-23/2) - 33*q^(-25/2) - 33*q^(-27/2) - 20*q^(-29/2) - 7*q^(-31/2) + 4*q^(-33/2) + 2*q^(-35/2) + 4*q^(-37/2) + 4*q^(-39/2) + 5*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^(-6)*x2^(-9) + (4*q^(-25/2) + 8*q^(-27/2) + 13*q^(-29/2) + 16*q^(-31/2) + 10*q^(-33/2) - 3*q^(-35/2) - 2*q^(-45/2) - q^(-47/2) - q^(-49/2) - q^(-51/2) - q^(-53/2) - q^(-55/2) - q^(-57/2))*x1^(-7)*x2^(-9) + (-q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - q^(-37/2) + q^(-39/2) + q^(-41/2) + q^(-43/2) + 3*q^(-45/2) - q^(-49/2) + q^(-59/2))*x1^(-8)*x2^(-9)

Braid

Braid word Components Crossings Strands
[1, -2, -2, 1, -2, -2, -2, -2, 1] 2 9 3

Multivariable Alexander polynomial

ΔL
-A1*A2^(2) + 2*A1*A2 - 2*A1 - 2*A2 + 3 - 2*A2^(-1) - 2*A1^(-1) + 2*A1^(-1)*A2^(-1) - A1^(-1)*A2^(-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-101-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-2, -4) yes
(2, 0) no
(2, 4) yes
(-2, 0) no
Dual Thurston polygon-202-505h1h2

HFL polytope

Poincaré polynomial
m^(-3)*A1^(-3/2)*A2^(-5/2) + 3*m^(-2)*A1^(-3/2)*A2^(-3/2) + m^(-2)*A1^(-1/2)*A2^(-5/2) + 4*m^(-1)*A1^(-3/2)*A2^(-1/2) + 5*m^(-1)*A1^(-1/2)*A2^(-3/2) + 2*A1^(-3/2)*A2^(1/2) + 9*A1^(-1/2)*A2^(-1/2) + 2*A1^(1/2)*A2^(-3/2) + 7*m*A1^(-1/2)*A2^(1/2) + 7*m*A1^(1/2)*A2^(-1/2) + 2*m^2*A1^(-1/2)*A2^(3/2) + 9*m^2*A1^(1/2)*A2^(1/2) + 2*m^2*A1^(3/2)*A2^(-1/2) + 5*m^3*A1^(1/2)*A2^(3/2) + 4*m^3*A1^(3/2)*A2^(1/2) + m^4*A1^(1/2)*A2^(5/2) + 3*m^4*A1^(3/2)*A2^(3/2) + m^5*A1^(3/2)*A2^(5/2)
VertexMaslovRank
(-3/2, -5/2)-31
(-1/2, -5/2)-21
(3/2, -1/2)22
(3/2, 5/2)51
(1/2, 5/2)41
(-3/2, 1/2)02
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 115
namestring L9a28{0}
statusstring success
slugstring L9a28_0_cdcdf8d7
result_filestring details/L9a28_0_cdcdf8d7.json
complexity_scoreOption(int) 162
strandsOption(int) null
crossingsOption(int) 9
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 68
wall_secondsOption(float) 0.001722
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 18
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 9
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks)
{
  "dataset": "FLHFLLinks",
  "key": "L9a28_0_cdcdf8d7"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L9a28_0_cdcdf8d7