details/L10a11_1_09ffed82.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) + (-4*q^(1/2))*x1^(1/2)*x2^(7/2) + (2*q^(3/2))*x1^(3/2)*x2^(7/2) + (-q^(3/2) - 10*q^(1/2) + 2*q^(-1/2))*x1^(1/2)*x2^(9/2) + (2*q^(5/2) + 8*q^(3/2) - q^(1/2))*x1^(3/2)*x2^(9/2) + (-3*q^(7/2) - q^(5/2))*x1^(5/2)*x2^(9/2) + (-2*q^(5/2) - 4*q^(3/2) - 20*q^(1/2) + 8*q^(-1/2) + 3*q^(-3/2))*x1^(1/2)*x2^(11/2) + (2*q^(7/2) + 10*q^(5/2) + 18*q^(3/2) - 8*q^(1/2) - 3*q^(-1/2))*x1^(3/2)*x2^(11/2) + (-2*q^(11/2) - 4*q^(9/2) - 14*q^(7/2) - 2*q^(5/2) + 2*q^(3/2))*x1^(5/2)*x2^(11/2) + (4*q^(13/2) + 2*q^(11/2) + 2*q^(9/2))*x1^(7/2)*x2^(11/2) + (-q^(9/2) - 3*q^(7/2) - 8*q^(5/2) - 10*q^(3/2) - 33*q^(1/2) + 21*q^(-1/2) + 11*q^(-3/2))*x1^(1/2)*x2^(13/2) + (2*q^(9/2) + 14*q^(7/2) + 26*q^(5/2) + 27*q^(3/2) - 33*q^(1/2) - 16*q^(-1/2) - 2*q^(-3/2))*x1^(3/2)*x2^(13/2) + (-2*q^(15/2) - 2*q^(13/2) - 13*q^(11/2) - 20*q^(9/2) - 33*q^(7/2) + 8*q^(5/2) + 16*q^(3/2) + 5*q^(1/2))*x1^(5/2)*x2^(13/2) + (2*q^(19/2) + 4*q^(17/2) + 8*q^(15/2) + 22*q^(13/2) + 9*q^(11/2) + 4*q^(9/2) - 4*q^(7/2) - q^(5/2))*x1^(7/2)*x2^(13/2) + (-5*q^(21/2) - 3*q^(19/2) - 4*q^(17/2) - 3*q^(15/2) - q^(13/2))*x1^(9/2)*x2^(13/2) + (-2*q^(13/2) - 2*q^(11/2) - 8*q^(9/2) - 12*q^(7/2) - 20*q^(5/2) - 16*q^(3/2) - 46*q^(1/2) + 47*q^(-1/2) + 27*q^(-3/2) - 3*q^(-5/2) - 4*q^(-7/2) - 3*q^(-9/2))*x1^(1/2)*x2^(15/2) + (4*q^(11/2) + 20*q^(9/2) + 42*q^(7/2) + 44*q^(5/2) + 16*q^(3/2) - 95*q^(1/2) - 50*q^(-1/2) - 2*q^(-3/2) + 5*q^(-5/2) + 3*q^(-7/2))*x1^(3/2)*x2^(15/2) + (-2*q^(19/2) - 2*q^(17/2) - 10*q^(15/2) - 14*q^(13/2) - 50*q^(11/2) - 48*q^(9/2) - 38*q^(7/2) + 64*q^(5/2) + 69*q^(3/2) + 23*q^(1/2) + q^(-1/2) - 3*q^(-3/2))*x1^(5/2)*x2^(15/2) + (2*q^(25/2) + 2*q^(23/2) + 6*q^(21/2) + 16*q^(19/2) + 28*q^(17/2) + 40*q^(15/2) + 58*q^(13/2) + 4*q^(11/2) - 19*q^(9/2) - 32*q^(7/2) - 14*q^(5/2) - q^(3/2))*x1^(7/2)*x2^(15/2) + (-2*q^(29/2) - 4*q^(27/2) - 8*q^(25/2) - 14*q^(23/2) - 34*q^(21/2) - 20*q^(19/2) - 18*q^(17/2) - 6*q^(15/2) + 4*q^(13/2) + 4*q^(11/2) + 2*q^(9/2))*x1^(9/2)*x2^(15/2) + (6*q^(31/2) + 4*q^(29/2) + 6*q^(27/2) + 6*q^(25/2) + 6*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(11/2)*x2^(15/2) + (-q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 11*q^(13/2) - 13*q^(11/2) - 26*q^(9/2) - 28*q^(7/2) - 33*q^(5/2) - 15*q^(3/2) - 50*q^(1/2) + 93*q^(-1/2) + 53*q^(-3/2) - 14*q^(-5/2) - 21*q^(-7/2) - 18*q^(-9/2) + q^(-11/2) - 4*q^(-13/2))*x1^(1/2)*x2^(17/2) + (4*q^(15/2) + 8*q^(13/2) + 36*q^(11/2) + 65*q^(9/2) + 78*q^(7/2) + 30*q^(5/2) - 54*q^(3/2) - 227*q^(1/2) - 106*q^(-1/2) + 20*q^(-3/2) + 43*q^(-5/2) + 27*q^(-7/2) + 5*q^(-9/2) + 4*q^(-11/2))*x1^(3/2)*x2^(17/2) + (-2*q^(23/2) - 2*q^(21/2) - 10*q^(19/2) - 10*q^(17/2) - 40*q^(15/2) - 64*q^(13/2) - 118*q^(11/2) - 48*q^(9/2) + 46*q^(7/2) + 239*q^(5/2) + 199*q^(3/2) + 48*q^(1/2) - 23*q^(-1/2) - 32*q^(-3/2) - 11*q^(-5/2) - 4*q^(-7/2))*x1^(5/2)*x2^(17/2) + (2*q^(31/2) + 2*q^(29/2) + 4*q^(27/2) + 14*q^(25/2) + 16*q^(23/2) + 36*q^(21/2) + 66*q^(19/2) + 96*q^(17/2) + 87*q^(15/2) + 63*q^(13/2) - 101*q^(11/2) - 149*q^(9/2) - 135*q^(7/2) - 53*q^(5/2) + 2*q^(3/2) + 9*q^(1/2) + 6*q^(-1/2))*x1^(7/2)*x2^(17/2) + (-2*q^(37/2) - 2*q^(35/2) - 6*q^(33/2) - 8*q^(31/2) - 25*q^(29/2) - 37*q^(27/2) - 59*q^(25/2) - 77*q^(23/2) - 104*q^(21/2) - 35*q^(19/2) - 2*q^(17/2) + 42*q^(15/2) + 60*q^(13/2) + 39*q^(11/2) + 15*q^(9/2) + 2*q^(7/2) - q^(5/2))*x1^(9/2)*x2^(17/2) + (2*q^(41/2) + 4*q^(39/2) + 8*q^(37/2) + 14*q^(35/2) + 24*q^(33/2) + 50*q^(31/2) + 39*q^(29/2) + 40*q^(27/2) + 30*q^(25/2) + 17*q^(23/2) - 4*q^(21/2) - 3*q^(19/2) - 8*q^(17/2) - 4*q^(15/2) - q^(13/2))*x1^(11/2)*x2^(17/2) + (-7*q^(43/2) - 5*q^(41/2) - 8*q^(39/2) - 9*q^(37/2) - 11*q^(35/2) - 9*q^(33/2) - 7*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - q^(25/2))*x1^(13/2)*x2^(17/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 10*q^(19/2) - 18*q^(17/2) - 20*q^(15/2) - 38*q^(13/2) - 36*q^(11/2) - 54*q^(9/2) - 40*q^(7/2) - 33*q^(5/2) + 10*q^(3/2) - 34*q^(1/2) + 164*q^(-1/2) + 84*q^(-3/2) - 47*q^(-5/2) - 68*q^(-7/2) - 60*q^(-9/2) - 2*q^(-13/2) + q^(-15/2) - 2*q^(-17/2))*x1^(1/2)*x2^(19/2) + (2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 30*q^(15/2) + 60*q^(13/2) + 112*q^(11/2) + 118*q^(9/2) + 59*q^(7/2) - 95*q^(5/2) - 254*q^(3/2) - 454*q^(1/2) - 159*q^(-1/2) + 133*q^(-3/2) + 184*q^(-5/2) + 122*q^(-7/2) + 27*q^(-9/2) + 9*q^(-11/2) + q^(-13/2) + 2*q^(-15/2))*x1^(3/2)*x2^(19/2) + (-2*q^(27/2) - 2*q^(25/2) - 10*q^(23/2) - 10*q^(21/2) - 40*q^(19/2) - 52*q^(17/2) - 142*q^(15/2) - 162*q^(13/2) - 146*q^(11/2) + 134*q^(9/2) + 385*q^(7/2) + 635*q^(5/2) + 406*q^(3/2) - 14*q^(1/2) - 193*q^(-1/2) - 188*q^(-3/2) - 83*q^(-5/2) - 30*q^(-7/2) - 5*q^(-9/2) - 2*q^(-11/2))*x1^(5/2)*x2^(19/2) + (2*q^(37/2) + 2*q^(35/2) + 4*q^(33/2) + 12*q^(31/2) + 14*q^(29/2) + 24*q^(27/2) + 54*q^(25/2) + 66*q^(23/2) + 122*q^(21/2) + 180*q^(19/2) + 176*q^(17/2) + 24*q^(15/2) - 177*q^(13/2) - 525*q^(11/2) - 536*q^(9/2) - 343*q^(7/2) - 64*q^(5/2) + 103*q^(3/2) + 102*q^(1/2) + 64*q^(-1/2) + 18*q^(-3/2) + 5*q^(-5/2))*x1^(7/2)*x2^(19/2) + (-2*q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 8*q^(39/2) - 18*q^(37/2) - 22*q^(35/2) - 46*q^(33/2) - 62*q^(31/2) - 124*q^(29/2) - 150*q^(27/2) - 190*q^(25/2) - 164*q^(23/2) - 114*q^(21/2) + 130*q^(19/2) + 251*q^(17/2) + 319*q^(15/2) + 281*q^(13/2) + 142*q^(11/2) + 32*q^(9/2) - 24*q^(7/2) - 25*q^(5/2) - 13*q^(3/2) - 3*q^(1/2))*x1^(9/2)*x2^(19/2) + (2*q^(51/2) + 2*q^(49/2) + 6*q^(47/2) + 8*q^(45/2) + 16*q^(43/2) + 32*q^(41/2) + 56*q^(39/2) + 80*q^(37/2) + 116*q^(35/2) + 148*q^(33/2) + 186*q^(31/2) + 110*q^(29/2) + 63*q^(27/2) - 8*q^(25/2) - 70*q^(23/2) - 115*q^(21/2) - 88*q^(19/2) - 63*q^(17/2) - 30*q^(15/2) - 6*q^(13/2) + q^(11/2) + 2*q^(9/2))*x1^(11/2)*x2^(19/2) + (-2*q^(55/2) - 4*q^(53/2) - 8*q^(51/2) - 14*q^(49/2) - 24*q^(47/2) - 38*q^(45/2) - 74*q^(43/2) - 66*q^(41/2) - 76*q^(39/2) - 70*q^(37/2) - 62*q^(35/2) - 34*q^(33/2) - 14*q^(31/2) + 2*q^(29/2) + 8*q^(27/2) + 12*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2))*x1^(13/2)*x2^(19/2) + (8*q^(57/2) + 6*q^(55/2) + 10*q^(53/2) + 12*q^(51/2) + 16*q^(49/2) + 16*q^(47/2) + 18*q^(45/2) + 12*q^(43/2) + 12*q^(41/2) + 8*q^(39/2) + 6*q^(37/2) + 2*q^(35/2) + 2*q^(33/2))*x1^(15/2)*x2^(19/2)
|
(-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) + (-4*q^(1/2))*x1^(1/2)*x2^(7/2) + (2*q^(3/2))*x1^(3/2)*x2^(7/2) + (-q^(3/2) - 10*q^(1/2) + 2*q^(-1/2))*x1^(1/2)*x2^(9/2) + (2*q^(5/2) + 8*q^(3/2) - q^(1/2))*x1^(3/2)*x2^(9/2) + (-3*q^(7/2) - q^(5/2))*x1^(5/2)*x2^(9/2) + (-2*q^(5/2) - 4*q^(3/2) - 20*q^(1/2) + 8*q^(-1/2) + 3*q^(-3/2))*x1^(1/2)*x2^(11/2) + (2*q^(7/2) + 10*q^(5/2) + 18*q^(3/2) - 8*q^(1/2) - 3*q^(-1/2))*x1^(3/2)*x2^(11/2) + (-2*q^(11/2) - 4*q^(9/2) - 14*q^(7/2) - 2*q^(5/2) + 2*q^(3/2))*x1^(5/2)*x2^(11/2) + (4*q^(13/2) + 2*q^(11/2) + 2*q^(9/2))*x1^(7/2)*x2^(11/2) + (-q^(9/2) - 3*q^(7/2) - 8*q^(5/2) - 10*q^(3/2) - 33*q^(1/2) + 21*q^(-1/2) + 11*q^(-3/2))*x1^(1/2)*x2^(13/2) + (2*q^(9/2) + 14*q^(7/2) + 26*q^(5/2) + 27*q^(3/2) - 33*q^(1/2) - 16*q^(-1/2) - 2*q^(-3/2))*x1^(3/2)*x2^(13/2) + (-2*q^(15/2) - 2*q^(13/2) - 13*q^(11/2) - 20*q^(9/2) - 33*q^(7/2) + 8*q^(5/2) + 16*q^(3/2) + 5*q^(1/2))*x1^(5/2)*x2^(13/2) + (2*q^(19/2) + 4*q^(17/2) + 8*q^(15/2) + 22*q^(13/2) + 9*q^(11/2) + 4*q^(9/2) - 4*q^(7/2) - q^(5/2))*x1^(7/2)*x2^(13/2) + (-5*q^(21/2) - 3*q^(19/2) - 4*q^(17/2) - 3*q^(15/2) - q^(13/2))*x1^(9/2)*x2^(13/2) + (-2*q^(13/2) - 2*q^(11/2) - 8*q^(9/2) - 12*q^(7/2) - 20*q^(5/2) - 16*q^(3/2) - 46*q^(1/2) + 47*q^(-1/2) + 27*q^(-3/2) - 3*q^(-5/2) - 4*q^(-7/2) - 3*q^(-9/2))*x1^(1/2)*x2^(15/2) + (4*q^(11/2) + 20*q^(9/2) + 42*q^(7/2) + 44*q^(5/2) + 16*q^(3/2) - 95*q^(1/2) - 50*q^(-1/2) - 2*q^(-3/2) + 5*q^(-5/2) + 3*q^(-7/2))*x1^(3/2)*x2^(15/2) + (-2*q^(19/2) - 2*q^(17/2) - 10*q^(15/2) - 14*q^(13/2) - 50*q^(11/2) - 48*q^(9/2) - 38*q^(7/2) + 64*q^(5/2) + 69*q^(3/2) + 23*q^(1/2) + q^(-1/2) - 3*q^(-3/2))*x1^(5/2)*x2^(15/2) + (2*q^(25/2) + 2*q^(23/2) + 6*q^(21/2) + 16*q^(19/2) + 28*q^(17/2) + 40*q^(15/2) + 58*q^(13/2) + 4*q^(11/2) - 19*q^(9/2) - 32*q^(7/2) - 14*q^(5/2) - q^(3/2))*x1^(7/2)*x2^(15/2) + (-2*q^(29/2) - 4*q^(27/2) - 8*q^(25/2) - 14*q^(23/2) - 34*q^(21/2) - 20*q^(19/2) - 18*q^(17/2) - 6*q^(15/2) + 4*q^(13/2) + 4*q^(11/2) + 2*q^(9/2))*x1^(9/2)*x2^(15/2) + (6*q^(31/2) + 4*q^(29/2) + 6*q^(27/2) + 6*q^(25/2) + 6*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(11/2)*x2^(15/2) + (-q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 11*q^(13/2) - 13*q^(11/2) - 26*q^(9/2) - 28*q^(7/2) - 33*q^(5/2) - 15*q^(3/2) - 50*q^(1/2) + 93*q^(-1/2) + 53*q^(-3/2) - 14*q^(-5/2) - 21*q^(-7/2) - 18*q^(-9/2) + q^(-11/2) - 4*q^(-13/2))*x1^(1/2)*x2^(17/2) + (4*q^(15/2) + 8*q^(13/2) + 36*q^(11/2) + 65*q^(9/2) + 78*q^(7/2) + 30*q^(5/2) - 54*q^(3/2) - 227*q^(1/2) - 106*q^(-1/2) + 20*q^(-3/2) + 43*q^(-5/2) + 27*q^(-7/2) + 5*q^(-9/2) + 4*q^(-11/2))*x1^(3/2)*x2^(17/2) + (-2*q^(23/2) - 2*q^(21/2) - 10*q^(19/2) - 10*q^(17/2) - 40*q^(15/2) - 64*q^(13/2) - 118*q^(11/2) - 48*q^(9/2) + 46*q^(7/2) + 239*q^(5/2) + 199*q^(3/2) + 48*q^(1/2) - 23*q^(-1/2) - 32*q^(-3/2) - 11*q^(-5/2) - 4*q^(-7/2))*x1^(5/2)*x2^(17/2) + (2*q^(31/2) + 2*q^(29/2) + 4*q^(27/2) + 14*q^(25/2) + 16*q^(23/2) + 36*q^(21/2) + 66*q^(19/2) + 96*q^(17/2) + 87*q^(15/2) + 63*q^(13/2) - 101*q^(11/2) - 149*q^(9/2) - 135*q^(7/2) - 53*q^(5/2) + 2*q^(3/2) + 9*q^(1/2) + 6*q^(-1/2))*x1^(7/2)*x2^(17/2) + (-2*q^(37/2) - 2*q^(35/2) - 6*q^(33/2) - 8*q^(31/2) - 25*q^(29/2) - 37*q^(27/2) - 59*q^(25/2) - 77*q^(23/2) - 104*q^(21/2) - 35*q^(19/2) - 2*q^(17/2) + 42*q^(15/2) + 60*q^(13/2) + 39*q^(11/2) + 15*q^(9/2) + 2*q^(7/2) - q^(5/2))*x1^(9/2)*x2^(17/2) + (2*q^(41/2) + 4*q^(39/2) + 8*q^(37/2) + 14*q^(35/2) + 24*q^(33/2) + 50*q^(31/2) + 39*q^(29/2) + 40*q^(27/2) + 30*q^(25/2) + 17*q^(23/2) - 4*q^(21/2) - 3*q^(19/2) - 8*q^(17/2) - 4*q^(15/2) - q^(13/2))*x1^(11/2)*x2^(17/2) + (-7*q^(43/2) - 5*q^(41/2) - 8*q^(39/2) - 9*q^(37/2) - 11*q^(35/2) - 9*q^(33/2) - 7*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - q^(25/2))*x1^(13/2)*x2^(17/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 10*q^(19/2) - 18*q^(17/2) - 20*q^(15/2) - 38*q^(13/2) - 36*q^(11/2) - 54*q^(9/2) - 40*q^(7/2) - 33*q^(5/2) + 10*q^(3/2) - 34*q^(1/2) + 164*q^(-1/2) + 84*q^(-3/2) - 47*q^(-5/2) - 68*q^(-7/2) - 60*q^(-9/2) - 2*q^(-13/2) + q^(-15/2) - 2*q^(-17/2))*x1^(1/2)*x2^(19/2) + (2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 30*q^(15/2) + 60*q^(13/2) + 112*q^(11/2) + 118*q^(9/2) + 59*q^(7/2) - 95*q^(5/2) - 254*q^(3/2) - 454*q^(1/2) - 159*q^(-1/2) + 133*q^(-3/2) + 184*q^(-5/2) + 122*q^(-7/2) + 27*q^(-9/2) + 9*q^(-11/2) + q^(-13/2) + 2*q^(-15/2))*x1^(3/2)*x2^(19/2) + (-2*q^(27/2) - 2*q^(25/2) - 10*q^(23/2) - 10*q^(21/2) - 40*q^(19/2) - 52*q^(17/2) - 142*q^(15/2) - 162*q^(13/2) - 146*q^(11/2) + 134*q^(9/2) + 385*q^(7/2) + 635*q^(5/2) + 406*q^(3/2) - 14*q^(1/2) - 193*q^(-1/2) - 188*q^(-3/2) - 83*q^(-5/2) - 30*q^(-7/2) - 5*q^(-9/2) - 2*q^(-11/2))*x1^(5/2)*x2^(19/2) + (2*q^(37/2) + 2*q^(35/2) + 4*q^(33/2) + 12*q^(31/2) + 14*q^(29/2) + 24*q^(27/2) + 54*q^(25/2) + 66*q^(23/2) + 122*q^(21/2) + 180*q^(19/2) + 176*q^(17/2) + 24*q^(15/2) - 177*q^(13/2) - 525*q^(11/2) - 536*q^(9/2) - 343*q^(7/2) - 64*q^(5/2) + 103*q^(3/2) + 102*q^(1/2) + 64*q^(-1/2) + 18*q^(-3/2) + 5*q^(-5/2))*x1^(7/2)*x2^(19/2) + (-2*q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 8*q^(39/2) - 18*q^(37/2) - 22*q^(35/2) - 46*q^(33/2) - 62*q^(31/2) - 124*q^(29/2) - 150*q^(27/2) - 190*q^(25/2) - 164*q^(23/2) - 114*q^(21/2) + 130*q^(19/2) + 251*q^(17/2) + 319*q^(15/2) + 281*q^(13/2) + 142*q^(11/2) + 32*q^(9/2) - 24*q^(7/2) - 25*q^(5/2) - 13*q^(3/2) - 3*q^(1/2))*x1^(9/2)*x2^(19/2) + (2*q^(51/2) + 2*q^(49/2) + 6*q^(47/2) + 8*q^(45/2) + 16*q^(43/2) + 32*q^(41/2) + 56*q^(39/2) + 80*q^(37/2) + 116*q^(35/2) + 148*q^(33/2) + 186*q^(31/2) + 110*q^(29/2) + 63*q^(27/2) - 8*q^(25/2) - 70*q^(23/2) - 115*q^(21/2) - 88*q^(19/2) - 63*q^(17/2) - 30*q^(15/2) - 6*q^(13/2) + q^(11/2) + 2*q^(9/2))*x1^(11/2)*x2^(19/2) + (-2*q^(55/2) - 4*q^(53/2) - 8*q^(51/2) - 14*q^(49/2) - 24*q^(47/2) - 38*q^(45/2) - 74*q^(43/2) - 66*q^(41/2) - 76*q^(39/2) - 70*q^(37/2) - 62*q^(35/2) - 34*q^(33/2) - 14*q^(31/2) + 2*q^(29/2) + 8*q^(27/2) + 12*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2))*x1^(13/2)*x2^(19/2) + (8*q^(57/2) + 6*q^(55/2) + 10*q^(53/2) + 12*q^(51/2) + 16*q^(49/2) + 16*q^(47/2) + 18*q^(45/2) + 12*q^(43/2) + 12*q^(41/2) + 8*q^(39/2) + 6*q^(37/2) + 2*q^(35/2) + 2*q^(33/2))*x1^(15/2)*x2^(19/2)
|
(1/2, 5/2) |
|
x1^(-1/2)x2^(-5/2) |
q^(1/2) |
|
|
(-q^(1/2))*x1^(-1/2)*x2^(-5/2) + (-4*q^(1/2))*x1^(-1/2)*x2^(-7/2) + (2*q^(3/2))*x1^(-3/2)*x2^(-7/2) + (-q^(3/2) - 10*q^(1/2) + 2*q^(-1/2))*x1^(-1/2)*x2^(-9/2) + (2*q^(5/2) + 8*q^(3/2) - q^(1/2))*x1^(-3/2)*x2^(-9/2) + (-3*q^(7/2) - q^(5/2))*x1^(-5/2)*x2^(-9/2) + (-2*q^(5/2) - 4*q^(3/2) - 20*q^(1/2) + 8*q^(-1/2) + 3*q^(-3/2))*x1^(-1/2)*x2^(-11/2) + (2*q^(7/2) + 10*q^(5/2) + 18*q^(3/2) - 8*q^(1/2) - 3*q^(-1/2))*x1^(-3/2)*x2^(-11/2) + (-2*q^(11/2) - 4*q^(9/2) - 14*q^(7/2) - 2*q^(5/2) + 2*q^(3/2))*x1^(-5/2)*x2^(-11/2) + (4*q^(13/2) + 2*q^(11/2) + 2*q^(9/2))*x1^(-7/2)*x2^(-11/2) + (-q^(9/2) - 3*q^(7/2) - 8*q^(5/2) - 10*q^(3/2) - 33*q^(1/2) + 21*q^(-1/2) + 11*q^(-3/2))*x1^(-1/2)*x2^(-13/2) + (2*q^(9/2) + 14*q^(7/2) + 26*q^(5/2) + 27*q^(3/2) - 33*q^(1/2) - 16*q^(-1/2) - 2*q^(-3/2))*x1^(-3/2)*x2^(-13/2) + (-2*q^(15/2) - 2*q^(13/2) - 13*q^(11/2) - 20*q^(9/2) - 33*q^(7/2) + 8*q^(5/2) + 16*q^(3/2) + 5*q^(1/2))*x1^(-5/2)*x2^(-13/2) + (2*q^(19/2) + 4*q^(17/2) + 8*q^(15/2) + 22*q^(13/2) + 9*q^(11/2) + 4*q^(9/2) - 4*q^(7/2) - q^(5/2))*x1^(-7/2)*x2^(-13/2) + (-5*q^(21/2) - 3*q^(19/2) - 4*q^(17/2) - 3*q^(15/2) - q^(13/2))*x1^(-9/2)*x2^(-13/2) + (-2*q^(13/2) - 2*q^(11/2) - 8*q^(9/2) - 12*q^(7/2) - 20*q^(5/2) - 16*q^(3/2) - 46*q^(1/2) + 47*q^(-1/2) + 27*q^(-3/2) - 3*q^(-5/2) - 4*q^(-7/2) - 3*q^(-9/2))*x1^(-1/2)*x2^(-15/2) + (4*q^(11/2) + 20*q^(9/2) + 42*q^(7/2) + 44*q^(5/2) + 16*q^(3/2) - 95*q^(1/2) - 50*q^(-1/2) - 2*q^(-3/2) + 5*q^(-5/2) + 3*q^(-7/2))*x1^(-3/2)*x2^(-15/2) + (-2*q^(19/2) - 2*q^(17/2) - 10*q^(15/2) - 14*q^(13/2) - 50*q^(11/2) - 48*q^(9/2) - 38*q^(7/2) + 64*q^(5/2) + 69*q^(3/2) + 23*q^(1/2) + q^(-1/2) - 3*q^(-3/2))*x1^(-5/2)*x2^(-15/2) + (2*q^(25/2) + 2*q^(23/2) + 6*q^(21/2) + 16*q^(19/2) + 28*q^(17/2) + 40*q^(15/2) + 58*q^(13/2) + 4*q^(11/2) - 19*q^(9/2) - 32*q^(7/2) - 14*q^(5/2) - q^(3/2))*x1^(-7/2)*x2^(-15/2) + (-2*q^(29/2) - 4*q^(27/2) - 8*q^(25/2) - 14*q^(23/2) - 34*q^(21/2) - 20*q^(19/2) - 18*q^(17/2) - 6*q^(15/2) + 4*q^(13/2) + 4*q^(11/2) + 2*q^(9/2))*x1^(-9/2)*x2^(-15/2) + (6*q^(31/2) + 4*q^(29/2) + 6*q^(27/2) + 6*q^(25/2) + 6*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(-11/2)*x2^(-15/2) + (-q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 11*q^(13/2) - 13*q^(11/2) - 26*q^(9/2) - 28*q^(7/2) - 33*q^(5/2) - 15*q^(3/2) - 50*q^(1/2) + 93*q^(-1/2) + 53*q^(-3/2) - 14*q^(-5/2) - 21*q^(-7/2) - 18*q^(-9/2) + q^(-11/2) - 4*q^(-13/2))*x1^(-1/2)*x2^(-17/2) + (4*q^(15/2) + 8*q^(13/2) + 36*q^(11/2) + 65*q^(9/2) + 78*q^(7/2) + 30*q^(5/2) - 54*q^(3/2) - 227*q^(1/2) - 106*q^(-1/2) + 20*q^(-3/2) + 43*q^(-5/2) + 27*q^(-7/2) + 5*q^(-9/2) + 4*q^(-11/2))*x1^(-3/2)*x2^(-17/2) + (-2*q^(23/2) - 2*q^(21/2) - 10*q^(19/2) - 10*q^(17/2) - 40*q^(15/2) - 64*q^(13/2) - 118*q^(11/2) - 48*q^(9/2) + 46*q^(7/2) + 239*q^(5/2) + 199*q^(3/2) + 48*q^(1/2) - 23*q^(-1/2) - 32*q^(-3/2) - 11*q^(-5/2) - 4*q^(-7/2))*x1^(-5/2)*x2^(-17/2) + (2*q^(31/2) + 2*q^(29/2) + 4*q^(27/2) + 14*q^(25/2) + 16*q^(23/2) + 36*q^(21/2) + 66*q^(19/2) + 96*q^(17/2) + 87*q^(15/2) + 63*q^(13/2) - 101*q^(11/2) - 149*q^(9/2) - 135*q^(7/2) - 53*q^(5/2) + 2*q^(3/2) + 9*q^(1/2) + 6*q^(-1/2))*x1^(-7/2)*x2^(-17/2) + (-2*q^(37/2) - 2*q^(35/2) - 6*q^(33/2) - 8*q^(31/2) - 25*q^(29/2) - 37*q^(27/2) - 59*q^(25/2) - 77*q^(23/2) - 104*q^(21/2) - 35*q^(19/2) - 2*q^(17/2) + 42*q^(15/2) + 60*q^(13/2) + 39*q^(11/2) + 15*q^(9/2) + 2*q^(7/2) - q^(5/2))*x1^(-9/2)*x2^(-17/2) + (2*q^(41/2) + 4*q^(39/2) + 8*q^(37/2) + 14*q^(35/2) + 24*q^(33/2) + 50*q^(31/2) + 39*q^(29/2) + 40*q^(27/2) + 30*q^(25/2) + 17*q^(23/2) - 4*q^(21/2) - 3*q^(19/2) - 8*q^(17/2) - 4*q^(15/2) - q^(13/2))*x1^(-11/2)*x2^(-17/2) + (-7*q^(43/2) - 5*q^(41/2) - 8*q^(39/2) - 9*q^(37/2) - 11*q^(35/2) - 9*q^(33/2) - 7*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - q^(25/2))*x1^(-13/2)*x2^(-17/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 10*q^(19/2) - 18*q^(17/2) - 20*q^(15/2) - 38*q^(13/2) - 36*q^(11/2) - 54*q^(9/2) - 40*q^(7/2) - 33*q^(5/2) + 10*q^(3/2) - 34*q^(1/2) + 164*q^(-1/2) + 84*q^(-3/2) - 47*q^(-5/2) - 68*q^(-7/2) - 60*q^(-9/2) - 2*q^(-13/2) + q^(-15/2) - 2*q^(-17/2))*x1^(-1/2)*x2^(-19/2) + (2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 30*q^(15/2) + 60*q^(13/2) + 112*q^(11/2) + 118*q^(9/2) + 59*q^(7/2) - 95*q^(5/2) - 254*q^(3/2) - 454*q^(1/2) - 159*q^(-1/2) + 133*q^(-3/2) + 184*q^(-5/2) + 122*q^(-7/2) + 27*q^(-9/2) + 9*q^(-11/2) + q^(-13/2) + 2*q^(-15/2))*x1^(-3/2)*x2^(-19/2) + (-2*q^(27/2) - 2*q^(25/2) - 10*q^(23/2) - 10*q^(21/2) - 40*q^(19/2) - 52*q^(17/2) - 142*q^(15/2) - 162*q^(13/2) - 146*q^(11/2) + 134*q^(9/2) + 385*q^(7/2) + 635*q^(5/2) + 406*q^(3/2) - 14*q^(1/2) - 193*q^(-1/2) - 188*q^(-3/2) - 83*q^(-5/2) - 30*q^(-7/2) - 5*q^(-9/2) - 2*q^(-11/2))*x1^(-5/2)*x2^(-19/2) + (2*q^(37/2) + 2*q^(35/2) + 4*q^(33/2) + 12*q^(31/2) + 14*q^(29/2) + 24*q^(27/2) + 54*q^(25/2) + 66*q^(23/2) + 122*q^(21/2) + 180*q^(19/2) + 176*q^(17/2) + 24*q^(15/2) - 177*q^(13/2) - 525*q^(11/2) - 536*q^(9/2) - 343*q^(7/2) - 64*q^(5/2) + 103*q^(3/2) + 102*q^(1/2) + 64*q^(-1/2) + 18*q^(-3/2) + 5*q^(-5/2))*x1^(-7/2)*x2^(-19/2) + (-2*q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 8*q^(39/2) - 18*q^(37/2) - 22*q^(35/2) - 46*q^(33/2) - 62*q^(31/2) - 124*q^(29/2) - 150*q^(27/2) - 190*q^(25/2) - 164*q^(23/2) - 114*q^(21/2) + 130*q^(19/2) + 251*q^(17/2) + 319*q^(15/2) + 281*q^(13/2) + 142*q^(11/2) + 32*q^(9/2) - 24*q^(7/2) - 25*q^(5/2) - 13*q^(3/2) - 3*q^(1/2))*x1^(-9/2)*x2^(-19/2) + (2*q^(51/2) + 2*q^(49/2) + 6*q^(47/2) + 8*q^(45/2) + 16*q^(43/2) + 32*q^(41/2) + 56*q^(39/2) + 80*q^(37/2) + 116*q^(35/2) + 148*q^(33/2) + 186*q^(31/2) + 110*q^(29/2) + 63*q^(27/2) - 8*q^(25/2) - 70*q^(23/2) - 115*q^(21/2) - 88*q^(19/2) - 63*q^(17/2) - 30*q^(15/2) - 6*q^(13/2) + q^(11/2) + 2*q^(9/2))*x1^(-11/2)*x2^(-19/2) + (-2*q^(55/2) - 4*q^(53/2) - 8*q^(51/2) - 14*q^(49/2) - 24*q^(47/2) - 38*q^(45/2) - 74*q^(43/2) - 66*q^(41/2) - 76*q^(39/2) - 70*q^(37/2) - 62*q^(35/2) - 34*q^(33/2) - 14*q^(31/2) + 2*q^(29/2) + 8*q^(27/2) + 12*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2))*x1^(-13/2)*x2^(-19/2) + (8*q^(57/2) + 6*q^(55/2) + 10*q^(53/2) + 12*q^(51/2) + 16*q^(49/2) + 16*q^(47/2) + 18*q^(45/2) + 12*q^(43/2) + 12*q^(41/2) + 8*q^(39/2) + 6*q^(37/2) + 2*q^(35/2) + 2*q^(33/2))*x1^(-15/2)*x2^(-19/2)
|
Braid
| Braid word |
Components |
Crossings |
Strands |
[1, -2, 1, -2, 3, 3, -2, -2, 3, 3] |
2 |
10 |
4 |
Multivariable Alexander polynomial
| ΔL |
-A1^(1/2)*A2^(5/2) + 4*A1^(1/2)*A2^(3/2) - 7*A1^(1/2)*A2^(1/2) + 7*A1^(1/2)*A2^(-1/2) - 2*A1^(1/2)*A2^(-3/2) - 2*A1^(-1/2)*A2^(3/2) + 7*A1^(-1/2)*A2^(1/2) - 7*A1^(-1/2)*A2^(-1/2) + 4*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) |
no |
(1, 5) |
yes |
(-1, 3) |
no |
HFL polytope
| Poincaré polynomial |
m^(-5)*A1^(-1)*A2^(-3) + 5*m^(-4)*A1^(-1)*A2^(-2) + m^(-4)*A2^(-3) + 11*m^(-3)*A1^(-1)*A2^(-1) + 7*m^(-3)*A2^(-2) + 14*m^(-2)*A1^(-1) + 20*m^(-2)*A2^(-1) + 2*m^(-2)*A1*A2^(-2) + 9*m^(-1)*A1^(-1)*A2 + 28*m^(-1) + 9*m^(-1)*A1*A2^(-1) + 2*A1^(-1)*A2^2 + 20*A2 + 14*A1 + 7*m*A2^2 + 11*m*A1*A2 + m^2*A2^3 + 5*m^2*A1*A2^2 + m^3*A1*A2^3 |
| Vertex | Maslov | Rank |
(-1, -3) | -5 | 1 |
(0, -3) | -4 | 1 |
(1, -2) | -2 | 2 |
(1, 3) | 3 | 1 |
(0, 3) | 2 | 1 |
(-1, 2) | 0 | 2 |
Record
FL/HFL Links
orderOption(int) |
282 |
namestring |
L10a11{1} |
statusstring |
success |
slugstring |
L10a11_1_09ffed82 |
result_filestring |
details/L10a11_1_09ffed82.json |
complexity_scoreOption(int) |
200 |
strandsOption(int) |
null |
crossingsOption(int) |
10 |
component_countOption(int) |
2 |
girthOption(int) |
6 |
total_rankOption(int) |
168 |
wall_secondsOption(float) |
0.002417 |
backend_secondsOption(float) |
0.0 |
errorstring |
|
dimensionOption(int) |
2 |
support_sizeOption(int) |
19 |
vertex_countOption(int) |
6 |
fibered_vertex_countOption(int) |
2 |
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": "L10a11_1_09ffed82"
} |
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10a11_1_09ffed82 |