details/L10n29_0_e23db590.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^(-1/2) |
{"0": [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1], "1": [-1, 1, -1, -1]}
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(-q^(-1/2))*x1^(1/2)*x2^(5/2) + (-3*q^(-1/2))*x1^(1/2)*x2^(7/2) + (q^(-3/2))*x1^(3/2)*x2^(7/2) + (q^(1/2) - 6*q^(-1/2))*x1^(1/2)*x2^(9/2) + (3*q^(-3/2) - q^(-5/2))*x1^(3/2)*x2^(9/2) + (-q^(-7/2))*x1^(5/2)*x2^(9/2) + (q^(3/2) + 3*q^(1/2) - 11*q^(-1/2))*x1^(1/2)*x2^(11/2) + (-q^(1/2) - q^(-1/2) + 7*q^(-3/2) - 3*q^(-5/2) - 3*q^(-7/2))*x1^(3/2)*x2^(11/2) + (-2*q^(-7/2) + q^(-9/2))*x1^(5/2)*x2^(11/2) + (q^(-13/2))*x1^(7/2)*x2^(11/2) + (-q^(5/2) + 3*q^(3/2) + 5*q^(1/2) - 18*q^(-1/2) - q^(-3/2))*x1^(1/2)*x2^(13/2) + (-q^(3/2) - 4*q^(1/2) - 3*q^(-1/2) + 15*q^(-3/2) - 4*q^(-5/2) - 9*q^(-7/2) - 5*q^(-9/2))*x1^(3/2)*x2^(13/2) + (q^(-1/2) + q^(-3/2) - 4*q^(-7/2) + 6*q^(-9/2) + 3*q^(-11/2) - q^(-13/2))*x1^(5/2)*x2^(13/2) + (-q^(-11/2) + 2*q^(-13/2) - q^(-15/2))*x1^(7/2)*x2^(13/2) + (-q^(-21/2))*x1^(9/2)*x2^(13/2) + (-q^(9/2) - 3*q^(7/2) - 3*q^(5/2) + 6*q^(3/2) + 8*q^(1/2) - 28*q^(-1/2) - 3*q^(-3/2) - q^(-5/2))*x1^(1/2)*x2^(15/2) + (q^(7/2) + q^(5/2) - 2*q^(3/2) - 11*q^(1/2) - 5*q^(-1/2) + 30*q^(-3/2) - 17*q^(-7/2) - 16*q^(-9/2) - 7*q^(-11/2))*x1^(3/2)*x2^(15/2) + (q^(1/2) + 4*q^(-1/2) + 3*q^(-3/2) - 2*q^(-5/2) - 11*q^(-7/2) + 14*q^(-9/2) + 16*q^(-11/2) + 2*q^(-13/2) - 4*q^(-15/2) - 3*q^(-17/2))*x1^(5/2)*x2^(15/2) + (-q^(-5/2) - q^(-7/2) - 3*q^(-11/2) + q^(-13/2) - 5*q^(-15/2) - 2*q^(-17/2) + q^(-19/2))*x1^(7/2)*x2^(15/2) + (q^(-17/2) + q^(-19/2) - 2*q^(-21/2) + q^(-23/2))*x1^(9/2)*x2^(15/2) + (q^(-31/2))*x1^(11/2)*x2^(15/2) + (-q^(13/2) + q^(11/2) - 8*q^(9/2) - 9*q^(7/2) - 5*q^(5/2) + 12*q^(3/2) + 12*q^(1/2) - 41*q^(-1/2) - 7*q^(-3/2) - 3*q^(-5/2) - q^(-7/2))*x1^(1/2)*x2^(17/2) + (q^(11/2) + 2*q^(9/2) + 7*q^(7/2) + 7*q^(5/2) - 6*q^(3/2) - 26*q^(1/2) - 10*q^(-1/2) + 55*q^(-3/2) + 14*q^(-5/2) - 22*q^(-7/2) - 34*q^(-9/2) - 25*q^(-11/2) - 10*q^(-13/2))*x1^(3/2)*x2^(17/2) + (-q^(7/2) - q^(5/2) - 2*q^(3/2) + 3*q^(1/2) + 10*q^(-1/2) + 7*q^(-3/2) - 12*q^(-5/2) - 33*q^(-7/2) + 18*q^(-9/2) + 43*q^(-11/2) + 26*q^(-13/2) - 3*q^(-15/2) - 18*q^(-17/2) - 8*q^(-19/2) - 5*q^(-21/2))*x1^(5/2)*x2^(17/2) + (-q^(-3/2) - 3*q^(-5/2) - 2*q^(-7/2) + 2*q^(-9/2) - 3*q^(-11/2) - 18*q^(-15/2) - 10*q^(-17/2) + 4*q^(-19/2) + 7*q^(-21/2) + 4*q^(-23/2) - q^(-25/2))*x1^(7/2)*x2^(17/2) + (q^(-11/2) + q^(-13/2) + 3*q^(-17/2) + 5*q^(-19/2) - 2*q^(-21/2) + 4*q^(-23/2) + 2*q^(-25/2) - q^(-27/2))*x1^(9/2)*x2^(17/2) + (-q^(-25/2) - q^(-27/2) - q^(-29/2) + 2*q^(-31/2) - q^(-33/2))*x1^(11/2)*x2^(17/2) + (-q^(-43/2))*x1^(13/2)*x2^(17/2) + (q^(15/2) + q^(13/2) - 4*q^(11/2) - 23*q^(9/2) - 18*q^(7/2) - 5*q^(5/2) + 21*q^(3/2) + 18*q^(1/2) - 57*q^(-1/2) - 13*q^(-3/2) - 8*q^(-5/2) - 3*q^(-7/2) - q^(-9/2))*x1^(1/2)*x2^(19/2) + (3*q^(11/2) + 11*q^(9/2) + 28*q^(7/2) + 16*q^(5/2) - 22*q^(3/2) - 62*q^(1/2) - 25*q^(-1/2) + 90*q^(-3/2) + 45*q^(-5/2) - 16*q^(-7/2) - 54*q^(-9/2) - 58*q^(-11/2) - 38*q^(-13/2) - 15*q^(-15/2) - q^(-17/2))*x1^(3/2)*x2^(19/2) + (-q^(11/2) - 2*q^(9/2) - 6*q^(7/2) - 9*q^(5/2) - 9*q^(3/2) + 9*q^(1/2) + 30*q^(-1/2) + 19*q^(-3/2) - 35*q^(-5/2) - 88*q^(-7/2) + q^(-9/2) + 80*q^(-11/2) + 89*q^(-13/2) + 39*q^(-15/2) - 29*q^(-17/2) - 39*q^(-19/2) - 31*q^(-21/2) - 12*q^(-23/2) - 7*q^(-25/2))*x1^(5/2)*x2^(19/2) + (q^(5/2) + q^(3/2) + 2*q^(1/2) + q^(-1/2) - 2*q^(-3/2) - 7*q^(-5/2) + 14*q^(-9/2) + 11*q^(-11/2) + 6*q^(-13/2) - 44*q^(-15/2) - 44*q^(-17/2) - 3*q^(-19/2) + 27*q^(-21/2) + 36*q^(-23/2) + 13*q^(-25/2) + q^(-27/2) - 4*q^(-29/2) - 3*q^(-31/2))*x1^(7/2)*x2^(19/2) + (2*q^(-11/2) + q^(-13/2) - 2*q^(-15/2) + 4*q^(-17/2) + 11*q^(-19/2) + q^(-21/2) + 9*q^(-23/2) + 4*q^(-25/2) - 6*q^(-27/2) - 6*q^(-29/2) - 3*q^(-31/2))*x1^(9/2)*x2^(19/2) + (-q^(-19/2) - q^(-21/2) - 2*q^(-25/2) - 5*q^(-27/2) - 4*q^(-29/2) + 3*q^(-31/2) - 4*q^(-33/2) - 2*q^(-35/2) + q^(-37/2))*x1^(11/2)*x2^(19/2) + (q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) - 2*q^(-43/2) + q^(-45/2))*x1^(13/2)*x2^(19/2) + (q^(-57/2))*x1^(15/2)*x2^(19/2)
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(-1/2, -5/2) |
(1, 1) |
x1^(1/2)x2^(5/2) |
q^(-1/2) |
{"0": [1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1], "1": [-1, 1, -1, -1]}
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(-q^(-1/2))*x1^(1/2)*x2^(5/2) + (-3*q^(-1/2))*x1^(1/2)*x2^(7/2) + (q^(-3/2))*x1^(3/2)*x2^(7/2) + (q^(1/2) - 6*q^(-1/2))*x1^(1/2)*x2^(9/2) + (3*q^(-3/2) - q^(-5/2))*x1^(3/2)*x2^(9/2) + (-q^(-7/2))*x1^(5/2)*x2^(9/2) + (q^(3/2) + 3*q^(1/2) - 11*q^(-1/2))*x1^(1/2)*x2^(11/2) + (-q^(1/2) - q^(-1/2) + 7*q^(-3/2) - 3*q^(-5/2) - 3*q^(-7/2))*x1^(3/2)*x2^(11/2) + (-2*q^(-7/2) + q^(-9/2))*x1^(5/2)*x2^(11/2) + (q^(-13/2))*x1^(7/2)*x2^(11/2) + (-q^(5/2) + 3*q^(3/2) + 5*q^(1/2) - 18*q^(-1/2) - q^(-3/2))*x1^(1/2)*x2^(13/2) + (-q^(3/2) - 4*q^(1/2) - 3*q^(-1/2) + 15*q^(-3/2) - 4*q^(-5/2) - 9*q^(-7/2) - 5*q^(-9/2))*x1^(3/2)*x2^(13/2) + (q^(-1/2) + q^(-3/2) - 4*q^(-7/2) + 6*q^(-9/2) + 3*q^(-11/2) - q^(-13/2))*x1^(5/2)*x2^(13/2) + (-q^(-11/2) + 2*q^(-13/2) - q^(-15/2))*x1^(7/2)*x2^(13/2) + (-q^(-21/2))*x1^(9/2)*x2^(13/2) + (-q^(9/2) - 3*q^(7/2) - 3*q^(5/2) + 6*q^(3/2) + 8*q^(1/2) - 28*q^(-1/2) - 3*q^(-3/2) - q^(-5/2))*x1^(1/2)*x2^(15/2) + (q^(7/2) + q^(5/2) - 2*q^(3/2) - 11*q^(1/2) - 5*q^(-1/2) + 30*q^(-3/2) - 17*q^(-7/2) - 16*q^(-9/2) - 7*q^(-11/2))*x1^(3/2)*x2^(15/2) + (q^(1/2) + 4*q^(-1/2) + 3*q^(-3/2) - 2*q^(-5/2) - 11*q^(-7/2) + 14*q^(-9/2) + 16*q^(-11/2) + 2*q^(-13/2) - 4*q^(-15/2) - 3*q^(-17/2))*x1^(5/2)*x2^(15/2) + (-q^(-5/2) - q^(-7/2) - 3*q^(-11/2) + q^(-13/2) - 5*q^(-15/2) - 2*q^(-17/2) + q^(-19/2))*x1^(7/2)*x2^(15/2) + (q^(-17/2) + q^(-19/2) - 2*q^(-21/2) + q^(-23/2))*x1^(9/2)*x2^(15/2) + (q^(-31/2))*x1^(11/2)*x2^(15/2) + (-q^(13/2) + q^(11/2) - 8*q^(9/2) - 9*q^(7/2) - 5*q^(5/2) + 12*q^(3/2) + 12*q^(1/2) - 41*q^(-1/2) - 7*q^(-3/2) - 3*q^(-5/2) - q^(-7/2))*x1^(1/2)*x2^(17/2) + (q^(11/2) + 2*q^(9/2) + 7*q^(7/2) + 7*q^(5/2) - 6*q^(3/2) - 26*q^(1/2) - 10*q^(-1/2) + 55*q^(-3/2) + 14*q^(-5/2) - 22*q^(-7/2) - 34*q^(-9/2) - 25*q^(-11/2) - 10*q^(-13/2))*x1^(3/2)*x2^(17/2) + (-q^(7/2) - q^(5/2) - 2*q^(3/2) + 3*q^(1/2) + 10*q^(-1/2) + 7*q^(-3/2) - 12*q^(-5/2) - 33*q^(-7/2) + 18*q^(-9/2) + 43*q^(-11/2) + 26*q^(-13/2) - 3*q^(-15/2) - 18*q^(-17/2) - 8*q^(-19/2) - 5*q^(-21/2))*x1^(5/2)*x2^(17/2) + (-q^(-3/2) - 3*q^(-5/2) - 2*q^(-7/2) + 2*q^(-9/2) - 3*q^(-11/2) - 18*q^(-15/2) - 10*q^(-17/2) + 4*q^(-19/2) + 7*q^(-21/2) + 4*q^(-23/2) - q^(-25/2))*x1^(7/2)*x2^(17/2) + (q^(-11/2) + q^(-13/2) + 3*q^(-17/2) + 5*q^(-19/2) - 2*q^(-21/2) + 4*q^(-23/2) + 2*q^(-25/2) - q^(-27/2))*x1^(9/2)*x2^(17/2) + (-q^(-25/2) - q^(-27/2) - q^(-29/2) + 2*q^(-31/2) - q^(-33/2))*x1^(11/2)*x2^(17/2) + (-q^(-43/2))*x1^(13/2)*x2^(17/2) + (q^(15/2) + q^(13/2) - 4*q^(11/2) - 23*q^(9/2) - 18*q^(7/2) - 5*q^(5/2) + 21*q^(3/2) + 18*q^(1/2) - 57*q^(-1/2) - 13*q^(-3/2) - 8*q^(-5/2) - 3*q^(-7/2) - q^(-9/2))*x1^(1/2)*x2^(19/2) + (3*q^(11/2) + 11*q^(9/2) + 28*q^(7/2) + 16*q^(5/2) - 22*q^(3/2) - 62*q^(1/2) - 25*q^(-1/2) + 90*q^(-3/2) + 45*q^(-5/2) - 16*q^(-7/2) - 54*q^(-9/2) - 58*q^(-11/2) - 38*q^(-13/2) - 15*q^(-15/2) - q^(-17/2))*x1^(3/2)*x2^(19/2) + (-q^(11/2) - 2*q^(9/2) - 6*q^(7/2) - 9*q^(5/2) - 9*q^(3/2) + 9*q^(1/2) + 30*q^(-1/2) + 19*q^(-3/2) - 35*q^(-5/2) - 88*q^(-7/2) + q^(-9/2) + 80*q^(-11/2) + 89*q^(-13/2) + 39*q^(-15/2) - 29*q^(-17/2) - 39*q^(-19/2) - 31*q^(-21/2) - 12*q^(-23/2) - 7*q^(-25/2))*x1^(5/2)*x2^(19/2) + (q^(5/2) + q^(3/2) + 2*q^(1/2) + q^(-1/2) - 2*q^(-3/2) - 7*q^(-5/2) + 14*q^(-9/2) + 11*q^(-11/2) + 6*q^(-13/2) - 44*q^(-15/2) - 44*q^(-17/2) - 3*q^(-19/2) + 27*q^(-21/2) + 36*q^(-23/2) + 13*q^(-25/2) + q^(-27/2) - 4*q^(-29/2) - 3*q^(-31/2))*x1^(7/2)*x2^(19/2) + (2*q^(-11/2) + q^(-13/2) - 2*q^(-15/2) + 4*q^(-17/2) + 11*q^(-19/2) + q^(-21/2) + 9*q^(-23/2) + 4*q^(-25/2) - 6*q^(-27/2) - 6*q^(-29/2) - 3*q^(-31/2))*x1^(9/2)*x2^(19/2) + (-q^(-19/2) - q^(-21/2) - 2*q^(-25/2) - 5*q^(-27/2) - 4*q^(-29/2) + 3*q^(-31/2) - 4*q^(-33/2) - 2*q^(-35/2) + q^(-37/2))*x1^(11/2)*x2^(19/2) + (q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) - 2*q^(-43/2) + q^(-45/2))*x1^(13/2)*x2^(19/2) + (q^(-57/2))*x1^(15/2)*x2^(19/2)
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(1/2, 5/2) |
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x1^(-1/2)x2^(-5/2) |
q^(-1/2) |
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(-q^(-1/2))*x1^(-1/2)*x2^(-5/2) + (-3*q^(-1/2))*x1^(-1/2)*x2^(-7/2) + (q^(-3/2))*x1^(-3/2)*x2^(-7/2) + (q^(1/2) - 6*q^(-1/2))*x1^(-1/2)*x2^(-9/2) + (3*q^(-3/2) - q^(-5/2))*x1^(-3/2)*x2^(-9/2) + (-q^(-7/2))*x1^(-5/2)*x2^(-9/2) + (q^(3/2) + 3*q^(1/2) - 11*q^(-1/2))*x1^(-1/2)*x2^(-11/2) + (-q^(1/2) - q^(-1/2) + 7*q^(-3/2) - 3*q^(-5/2) - 3*q^(-7/2))*x1^(-3/2)*x2^(-11/2) + (-2*q^(-7/2) + q^(-9/2))*x1^(-5/2)*x2^(-11/2) + (q^(-13/2))*x1^(-7/2)*x2^(-11/2) + (-q^(5/2) + 3*q^(3/2) + 5*q^(1/2) - 18*q^(-1/2) - q^(-3/2))*x1^(-1/2)*x2^(-13/2) + (-q^(3/2) - 4*q^(1/2) - 3*q^(-1/2) + 15*q^(-3/2) - 4*q^(-5/2) - 9*q^(-7/2) - 5*q^(-9/2))*x1^(-3/2)*x2^(-13/2) + (q^(-1/2) + q^(-3/2) - 4*q^(-7/2) + 6*q^(-9/2) + 3*q^(-11/2) - q^(-13/2))*x1^(-5/2)*x2^(-13/2) + (-q^(-11/2) + 2*q^(-13/2) - q^(-15/2))*x1^(-7/2)*x2^(-13/2) + (-q^(-21/2))*x1^(-9/2)*x2^(-13/2) + (-q^(9/2) - 3*q^(7/2) - 3*q^(5/2) + 6*q^(3/2) + 8*q^(1/2) - 28*q^(-1/2) - 3*q^(-3/2) - q^(-5/2))*x1^(-1/2)*x2^(-15/2) + (q^(7/2) + q^(5/2) - 2*q^(3/2) - 11*q^(1/2) - 5*q^(-1/2) + 30*q^(-3/2) - 17*q^(-7/2) - 16*q^(-9/2) - 7*q^(-11/2))*x1^(-3/2)*x2^(-15/2) + (q^(1/2) + 4*q^(-1/2) + 3*q^(-3/2) - 2*q^(-5/2) - 11*q^(-7/2) + 14*q^(-9/2) + 16*q^(-11/2) + 2*q^(-13/2) - 4*q^(-15/2) - 3*q^(-17/2))*x1^(-5/2)*x2^(-15/2) + (-q^(-5/2) - q^(-7/2) - 3*q^(-11/2) + q^(-13/2) - 5*q^(-15/2) - 2*q^(-17/2) + q^(-19/2))*x1^(-7/2)*x2^(-15/2) + (q^(-17/2) + q^(-19/2) - 2*q^(-21/2) + q^(-23/2))*x1^(-9/2)*x2^(-15/2) + (q^(-31/2))*x1^(-11/2)*x2^(-15/2) + (-q^(13/2) + q^(11/2) - 8*q^(9/2) - 9*q^(7/2) - 5*q^(5/2) + 12*q^(3/2) + 12*q^(1/2) - 41*q^(-1/2) - 7*q^(-3/2) - 3*q^(-5/2) - q^(-7/2))*x1^(-1/2)*x2^(-17/2) + (q^(11/2) + 2*q^(9/2) + 7*q^(7/2) + 7*q^(5/2) - 6*q^(3/2) - 26*q^(1/2) - 10*q^(-1/2) + 55*q^(-3/2) + 14*q^(-5/2) - 22*q^(-7/2) - 34*q^(-9/2) - 25*q^(-11/2) - 10*q^(-13/2))*x1^(-3/2)*x2^(-17/2) + (-q^(7/2) - q^(5/2) - 2*q^(3/2) + 3*q^(1/2) + 10*q^(-1/2) + 7*q^(-3/2) - 12*q^(-5/2) - 33*q^(-7/2) + 18*q^(-9/2) + 43*q^(-11/2) + 26*q^(-13/2) - 3*q^(-15/2) - 18*q^(-17/2) - 8*q^(-19/2) - 5*q^(-21/2))*x1^(-5/2)*x2^(-17/2) + (-q^(-3/2) - 3*q^(-5/2) - 2*q^(-7/2) + 2*q^(-9/2) - 3*q^(-11/2) - 18*q^(-15/2) - 10*q^(-17/2) + 4*q^(-19/2) + 7*q^(-21/2) + 4*q^(-23/2) - q^(-25/2))*x1^(-7/2)*x2^(-17/2) + (q^(-11/2) + q^(-13/2) + 3*q^(-17/2) + 5*q^(-19/2) - 2*q^(-21/2) + 4*q^(-23/2) + 2*q^(-25/2) - q^(-27/2))*x1^(-9/2)*x2^(-17/2) + (-q^(-25/2) - q^(-27/2) - q^(-29/2) + 2*q^(-31/2) - q^(-33/2))*x1^(-11/2)*x2^(-17/2) + (-q^(-43/2))*x1^(-13/2)*x2^(-17/2) + (q^(15/2) + q^(13/2) - 4*q^(11/2) - 23*q^(9/2) - 18*q^(7/2) - 5*q^(5/2) + 21*q^(3/2) + 18*q^(1/2) - 57*q^(-1/2) - 13*q^(-3/2) - 8*q^(-5/2) - 3*q^(-7/2) - q^(-9/2))*x1^(-1/2)*x2^(-19/2) + (3*q^(11/2) + 11*q^(9/2) + 28*q^(7/2) + 16*q^(5/2) - 22*q^(3/2) - 62*q^(1/2) - 25*q^(-1/2) + 90*q^(-3/2) + 45*q^(-5/2) - 16*q^(-7/2) - 54*q^(-9/2) - 58*q^(-11/2) - 38*q^(-13/2) - 15*q^(-15/2) - q^(-17/2))*x1^(-3/2)*x2^(-19/2) + (-q^(11/2) - 2*q^(9/2) - 6*q^(7/2) - 9*q^(5/2) - 9*q^(3/2) + 9*q^(1/2) + 30*q^(-1/2) + 19*q^(-3/2) - 35*q^(-5/2) - 88*q^(-7/2) + q^(-9/2) + 80*q^(-11/2) + 89*q^(-13/2) + 39*q^(-15/2) - 29*q^(-17/2) - 39*q^(-19/2) - 31*q^(-21/2) - 12*q^(-23/2) - 7*q^(-25/2))*x1^(-5/2)*x2^(-19/2) + (q^(5/2) + q^(3/2) + 2*q^(1/2) + q^(-1/2) - 2*q^(-3/2) - 7*q^(-5/2) + 14*q^(-9/2) + 11*q^(-11/2) + 6*q^(-13/2) - 44*q^(-15/2) - 44*q^(-17/2) - 3*q^(-19/2) + 27*q^(-21/2) + 36*q^(-23/2) + 13*q^(-25/2) + q^(-27/2) - 4*q^(-29/2) - 3*q^(-31/2))*x1^(-7/2)*x2^(-19/2) + (2*q^(-11/2) + q^(-13/2) - 2*q^(-15/2) + 4*q^(-17/2) + 11*q^(-19/2) + q^(-21/2) + 9*q^(-23/2) + 4*q^(-25/2) - 6*q^(-27/2) - 6*q^(-29/2) - 3*q^(-31/2))*x1^(-9/2)*x2^(-19/2) + (-q^(-19/2) - q^(-21/2) - 2*q^(-25/2) - 5*q^(-27/2) - 4*q^(-29/2) + 3*q^(-31/2) - 4*q^(-33/2) - 2*q^(-35/2) + q^(-37/2))*x1^(-11/2)*x2^(-19/2) + (q^(-35/2) + q^(-37/2) + q^(-39/2) + q^(-41/2) - 2*q^(-43/2) + q^(-45/2))*x1^(-13/2)*x2^(-19/2) + (q^(-57/2))*x1^(-15/2)*x2^(-19/2)
|
Braid
| Braid word |
Components |
Crossings |
Strands |
[1, -2, -2, 1, 1, -3, -2, 1, -2, -3] |
2 |
10 |
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) - 4*A1^(1/2)*A2^(-1/2) + A1^(1/2)*A2^(-3/2) + A1^(-1/2)*A2^(3/2) - 4*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.
Dual Thurston polytope
| Vertex | Dual to fibered face |
(-1, -5) |
yes |
(1, -3) |
yes |
(1, 5) |
yes |
(-1, 3) |
yes |
HFL polytope
| Poincaré polynomial |
m^(-4)*A1^(-1)*A2^(-3) + 4*m^(-3)*A1^(-1)*A2^(-2) + m^(-3)*A2^(-3) + 7*m^(-2)*A1^(-1)*A2^(-1) + 5*m^(-2)*A2^(-2) + 8*m^(-1)*A1^(-1) + 12*m^(-1)*A2^(-1) + m^(-1)*A1*A2^(-2) + 5*A1^(-1)*A2 + 16 + 5*A1*A2^(-1) + m*A1^(-1)*A2^2 + 12*m*A2 + 8*m*A1 + 5*m^2*A2^2 + 7*m^2*A1*A2 + m^3*A2^3 + 4*m^3*A1*A2^2 + m^4*A1*A2^3 |
| Vertex | Maslov | Rank |
(-1, -3) | -4 | 1 |
(0, -3) | -3 | 1 |
(1, -2) | -1 | 1 |
(1, 3) | 4 | 1 |
(0, 3) | 3 | 1 |
(-1, 2) | 1 | 1 |
Record
FL/HFL Links
orderOption(int) |
521 |
namestring |
L10n29{0} |
statusstring |
success |
slugstring |
L10n29_0_e23db590 |
result_filestring |
details/L10n29_0_e23db590.json |
complexity_scoreOption(int) |
200 |
strandsOption(int) |
null |
crossingsOption(int) |
10 |
component_countOption(int) |
2 |
girthOption(int) |
6 |
total_rankOption(int) |
104 |
wall_secondsOption(float) |
0.003734 |
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 |
2 |
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L10n29_0_e23db590"
} |
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10n29_0_e23db590 |