details/L10a67_1_df51f56d.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^(-25/2) |
{"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^(55/2) - q^(45/2) + 3*q^(41/2) + q^(39/2) + q^(37/2) + q^(35/2) - q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - q^(27/2))*x1^(-8)*x2^(9) + (-q^(41/2) + q^(33/2) - 3*q^(31/2) + q^(29/2) + 3*q^(27/2) + 3*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(-7)*x2^(8) + (-q^(53/2) - q^(51/2) - q^(49/2) - q^(47/2) - q^(45/2) - q^(43/2) - 4*q^(41/2) - 2*q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 9*q^(31/2) + 8*q^(29/2) + 24*q^(27/2) + 31*q^(25/2) + 28*q^(23/2) + 24*q^(21/2) + 14*q^(19/2) + 6*q^(17/2) + 2*q^(15/2))*x1^(-7)*x2^(9) + (q^(29/2) - q^(23/2) - q^(21/2) - 4*q^(19/2) - 2*q^(17/2) - q^(15/2))*x1^(-6)*x2^(7) + (q^(39/2) + q^(37/2) + q^(35/2) + q^(33/2) + q^(31/2) + 5*q^(29/2) + 3*q^(27/2) - q^(25/2) - 8*q^(23/2) - 13*q^(21/2) - 25*q^(19/2) - 22*q^(17/2) - 14*q^(15/2) - 4*q^(13/2) - 2*q^(11/2))*x1^(-6)*x2^(8) + (q^(49/2) + q^(47/2) + 2*q^(45/2) + 2*q^(43/2) + 3*q^(41/2) + 6*q^(39/2) + 9*q^(37/2) + 10*q^(35/2) + 12*q^(33/2) + 13*q^(31/2) + 24*q^(29/2) + 18*q^(27/2) - q^(25/2) - 41*q^(23/2) - 78*q^(21/2) - 127*q^(19/2) - 131*q^(17/2) - 109*q^(15/2) - 59*q^(13/2) - 29*q^(11/2) - 7*q^(9/2) - 2*q^(7/2) + 3*q^(5/2))*x1^(-6)*x2^(9) + (-q^(19/2) + 3*q^(15/2) + q^(13/2) + q^(11/2))*x1^(-5)*x2^(6) + (-q^(27/2) - q^(25/2) - q^(23/2) - q^(21/2) - 4*q^(19/2) + 3*q^(17/2) + 14*q^(15/2) + 9*q^(13/2) + 6*q^(11/2) + 2*q^(9/2) - 2*q^(7/2))*x1^(-5)*x2^(7) + (-q^(35/2) - q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 6*q^(27/2) - 9*q^(25/2) - 9*q^(23/2) - 10*q^(21/2) - 11*q^(19/2) + 13*q^(17/2) + 49*q^(15/2) + 48*q^(13/2) + 34*q^(11/2) + 12*q^(9/2) - 6*q^(7/2) - 11*q^(5/2) - 7*q^(3/2) - 3*q^(1/2))*x1^(-5)*x2^(8) + (-q^(43/2) - q^(41/2) - 2*q^(39/2) - 3*q^(37/2) - 7*q^(35/2) - 9*q^(33/2) - 16*q^(31/2) - 21*q^(29/2) - 35*q^(27/2) - 50*q^(25/2) - 60*q^(23/2) - 60*q^(21/2) - 42*q^(19/2) + 36*q^(17/2) + 142*q^(15/2) + 179*q^(13/2) + 151*q^(11/2) + 75*q^(9/2) - 15*q^(7/2) - 60*q^(5/2) - 79*q^(3/2) - 60*q^(1/2) - 38*q^(-1/2) - 16*q^(-3/2) - 8*q^(-5/2))*x1^(-5)*x2^(9) + (q^(11/2) - 2*q^(9/2) + q^(7/2))*x1^(-4)*x2^(5) + (q^(17/2) + q^(15/2) + 2*q^(11/2) - 6*q^(9/2) + 4*q^(7/2) + 4*q^(5/2) + 2*q^(3/2))*x1^(-4)*x2^(6) + (q^(23/2) + q^(21/2) + 2*q^(19/2) + 5*q^(17/2) + 7*q^(15/2) + 2*q^(13/2) + 4*q^(11/2) - 10*q^(9/2) + 14*q^(7/2) + 23*q^(5/2) + 24*q^(3/2) + 11*q^(1/2) + 6*q^(-1/2))*x1^(-4)*x2^(7) + (q^(29/2) + q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 8*q^(21/2) + 15*q^(19/2) + 25*q^(17/2) + 33*q^(15/2) + 21*q^(13/2) + 22*q^(11/2) + 2*q^(9/2) + 61*q^(7/2) + 98*q^(5/2) + 128*q^(3/2) + 108*q^(1/2) + 78*q^(-1/2) + 38*q^(-3/2) + 18*q^(-5/2) + 4*q^(-7/2))*x1^(-4)*x2^(8) + (q^(35/2) + q^(33/2) + 2*q^(31/2) + 6*q^(29/2) + 9*q^(27/2) + 15*q^(25/2) + 31*q^(23/2) + 47*q^(21/2) + 80*q^(19/2) + 115*q^(17/2) + 143*q^(15/2) + 133*q^(13/2) + 148*q^(11/2) + 136*q^(9/2) + 278*q^(7/2) + 410*q^(5/2) + 543*q^(3/2) + 569*q^(1/2) + 531*q^(-1/2) + 392*q^(-3/2) + 271*q^(-5/2) + 150*q^(-7/2) + 75*q^(-9/2) + 26*q^(-11/2) + 10*q^(-13/2))*x1^(-4)*x2^(9) + (-q^(5/2) - q^(3/2))*x1^(-3)*x2^(4) + (-q^(9/2) - 5*q^(5/2) - 6*q^(3/2) - 4*q^(1/2))*x1^(-3)*x2^(5) + (-q^(13/2) - q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 18*q^(5/2) - 27*q^(3/2) - 25*q^(1/2) - 13*q^(-1/2) - 3*q^(-3/2))*x1^(-3)*x2^(6) + (-q^(17/2) - q^(15/2) - 5*q^(13/2) - 7*q^(11/2) - 18*q^(9/2) - 27*q^(7/2) - 66*q^(5/2) - 96*q^(3/2) - 112*q^(1/2) - 87*q^(-1/2) - 56*q^(-3/2) - 20*q^(-5/2) - 8*q^(-7/2))*x1^(-3)*x2^(7) + (-q^(21/2) - q^(19/2) - 5*q^(17/2) - 8*q^(15/2) - 23*q^(13/2) - 39*q^(11/2) - 82*q^(9/2) - 129*q^(7/2) - 234*q^(5/2) - 332*q^(3/2) - 405*q^(1/2) - 399*q^(-1/2) - 337*q^(-3/2) - 227*q^(-5/2) - 131*q^(-7/2) - 61*q^(-9/2) - 23*q^(-11/2) - 5*q^(-13/2))*x1^(-3)*x2^(8) + (-q^(25/2) - q^(23/2) - 5*q^(21/2) - 8*q^(19/2) - 26*q^(17/2) - 50*q^(15/2) - 110*q^(13/2) - 191*q^(11/2) - 345*q^(9/2) - 524*q^(7/2) - 822*q^(5/2) - 1114*q^(3/2) - 1388*q^(1/2) - 1494*q^(-1/2) - 1478*q^(-3/2) - 1256*q^(-5/2) - 980*q^(-7/2) - 652*q^(-9/2) - 409*q^(-11/2) - 210*q^(-13/2) - 100*q^(-15/2) - 32*q^(-17/2) - 12*q^(-19/2))*x1^(-3)*x2^(9) + (2*q^(1/2))*x1^(-2)*x2^(3) + (q^(3/2) + 8*q^(1/2) + 2*q^(-1/2))*x1^(-2)*x2^(4) + (q^(5/2) + 6*q^(3/2) + 23*q^(1/2) + 14*q^(-1/2) + 6*q^(-3/2))*x1^(-2)*x2^(5) + (q^(7/2) + 9*q^(5/2) + 23*q^(3/2) + 61*q^(1/2) + 54*q^(-1/2) + 42*q^(-3/2) + 18*q^(-5/2) + 4*q^(-7/2))*x1^(-2)*x2^(6) + (3*q^(9/2) + 14*q^(7/2) + 39*q^(5/2) + 79*q^(3/2) + 160*q^(1/2) + 172*q^(-1/2) + 168*q^(-3/2) + 123*q^(-5/2) + 70*q^(-7/2) + 26*q^(-9/2) + 10*q^(-11/2))*x1^(-2)*x2^(7) + (4*q^(13/2) + 8*q^(11/2) + 31*q^(9/2) + 71*q^(7/2) + 147*q^(5/2) + 252*q^(3/2) + 430*q^(1/2) + 507*q^(-1/2) + 553*q^(-3/2) + 505*q^(-5/2) + 404*q^(-7/2) + 260*q^(-9/2) + 152*q^(-11/2) + 70*q^(-13/2) + 28*q^(-15/2) + 6*q^(-17/2))*x1^(-2)*x2^(8) + (2*q^(19/2) + 7*q^(17/2) + 14*q^(15/2) + 36*q^(13/2) + 76*q^(11/2) + 161*q^(9/2) + 295*q^(7/2) + 506*q^(5/2) + 784*q^(3/2) + 1185*q^(1/2) + 1457*q^(-1/2) + 1674*q^(-3/2) + 1712*q^(-5/2) + 1606*q^(-7/2) + 1328*q^(-9/2) + 1010*q^(-11/2) + 674*q^(-13/2) + 425*q^(-15/2) + 226*q^(-17/2) + 106*q^(-19/2) + 38*q^(-21/2) + 14*q^(-23/2))*x1^(-2)*x2^(9) + (-q^(-1/2))*x1^(-1)*x2^(2) + (-4*q^(-1/2))*x1^(-1)*x2^(3) + (-q^(1/2) - 10*q^(-1/2) - 3*q^(-3/2))*x1^(-1)*x2^(4) + (-2*q^(3/2) - 4*q^(1/2) - 22*q^(-1/2) - 12*q^(-3/2) - 8*q^(-5/2))*x1^(-1)*x2^(5) + (-q^(7/2) - 3*q^(5/2) - 8*q^(3/2) - 14*q^(1/2) - 46*q^(-1/2) - 36*q^(-3/2) - 33*q^(-5/2) - 18*q^(-7/2) - 5*q^(-9/2))*x1^(-1)*x2^(6) + (-2*q^(11/2) - 2*q^(9/2) - 8*q^(7/2) - 14*q^(5/2) - 28*q^(3/2) - 42*q^(1/2) - 100*q^(-1/2) - 94*q^(-3/2) - 102*q^(-5/2) - 80*q^(-7/2) - 56*q^(-9/2) - 20*q^(-11/2) - 12*q^(-13/2))*x1^(-1)*x2^(7) + (-q^(17/2) - 3*q^(15/2) - 4*q^(13/2) - 11*q^(11/2) - 17*q^(9/2) - 34*q^(7/2) - 53*q^(5/2) - 87*q^(3/2) - 124*q^(1/2) - 225*q^(-1/2) - 242*q^(-3/2) - 276*q^(-5/2) - 261*q^(-7/2) - 230*q^(-9/2) - 158*q^(-11/2) - 102*q^(-13/2) - 51*q^(-15/2) - 26*q^(-17/2) - 7*q^(-19/2))*x1^(-1)*x2^(8) + (-2*q^(23/2) - 2*q^(21/2) - 6*q^(19/2) - 10*q^(17/2) - 20*q^(15/2) - 28*q^(13/2) - 54*q^(11/2) - 76*q^(9/2) - 126*q^(7/2) - 178*q^(5/2) - 264*q^(3/2) - 352*q^(1/2) - 544*q^(-1/2) - 616*q^(-3/2) - 726*q^(-5/2) - 746*q^(-7/2) - 742*q^(-9/2) - 632*q^(-11/2) - 526*q^(-13/2) - 356*q^(-15/2) - 254*q^(-17/2) - 144*q^(-19/2) - 80*q^(-21/2) - 28*q^(-23/2) - 16*q^(-25/2))*x1^(-1)*x2^(9)
|
(-1, 2) |
|
x1^(1)x2^(-2) |
q^(-25/2) |
|
|
(q^(55/2) - q^(45/2) + 3*q^(41/2) + q^(39/2) + q^(37/2) + q^(35/2) - q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - q^(27/2))*x1^(8)*x2^(-9) + (-q^(41/2) + q^(33/2) - 3*q^(31/2) + q^(29/2) + 3*q^(27/2) + 3*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(7)*x2^(-8) + (-q^(53/2) - q^(51/2) - q^(49/2) - q^(47/2) - q^(45/2) - q^(43/2) - 4*q^(41/2) - 2*q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 9*q^(31/2) + 8*q^(29/2) + 24*q^(27/2) + 31*q^(25/2) + 28*q^(23/2) + 24*q^(21/2) + 14*q^(19/2) + 6*q^(17/2) + 2*q^(15/2))*x1^(7)*x2^(-9) + (q^(29/2) - q^(23/2) - q^(21/2) - 4*q^(19/2) - 2*q^(17/2) - q^(15/2))*x1^(6)*x2^(-7) + (q^(39/2) + q^(37/2) + q^(35/2) + q^(33/2) + q^(31/2) + 5*q^(29/2) + 3*q^(27/2) - q^(25/2) - 8*q^(23/2) - 13*q^(21/2) - 25*q^(19/2) - 22*q^(17/2) - 14*q^(15/2) - 4*q^(13/2) - 2*q^(11/2))*x1^(6)*x2^(-8) + (q^(49/2) + q^(47/2) + 2*q^(45/2) + 2*q^(43/2) + 3*q^(41/2) + 6*q^(39/2) + 9*q^(37/2) + 10*q^(35/2) + 12*q^(33/2) + 13*q^(31/2) + 24*q^(29/2) + 18*q^(27/2) - q^(25/2) - 41*q^(23/2) - 78*q^(21/2) - 127*q^(19/2) - 131*q^(17/2) - 109*q^(15/2) - 59*q^(13/2) - 29*q^(11/2) - 7*q^(9/2) - 2*q^(7/2) + 3*q^(5/2))*x1^(6)*x2^(-9) + (-q^(19/2) + 3*q^(15/2) + q^(13/2) + q^(11/2))*x1^(5)*x2^(-6) + (-q^(27/2) - q^(25/2) - q^(23/2) - q^(21/2) - 4*q^(19/2) + 3*q^(17/2) + 14*q^(15/2) + 9*q^(13/2) + 6*q^(11/2) + 2*q^(9/2) - 2*q^(7/2))*x1^(5)*x2^(-7) + (-q^(35/2) - q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 6*q^(27/2) - 9*q^(25/2) - 9*q^(23/2) - 10*q^(21/2) - 11*q^(19/2) + 13*q^(17/2) + 49*q^(15/2) + 48*q^(13/2) + 34*q^(11/2) + 12*q^(9/2) - 6*q^(7/2) - 11*q^(5/2) - 7*q^(3/2) - 3*q^(1/2))*x1^(5)*x2^(-8) + (-q^(43/2) - q^(41/2) - 2*q^(39/2) - 3*q^(37/2) - 7*q^(35/2) - 9*q^(33/2) - 16*q^(31/2) - 21*q^(29/2) - 35*q^(27/2) - 50*q^(25/2) - 60*q^(23/2) - 60*q^(21/2) - 42*q^(19/2) + 36*q^(17/2) + 142*q^(15/2) + 179*q^(13/2) + 151*q^(11/2) + 75*q^(9/2) - 15*q^(7/2) - 60*q^(5/2) - 79*q^(3/2) - 60*q^(1/2) - 38*q^(-1/2) - 16*q^(-3/2) - 8*q^(-5/2))*x1^(5)*x2^(-9) + (q^(11/2) - 2*q^(9/2) + q^(7/2))*x1^(4)*x2^(-5) + (q^(17/2) + q^(15/2) + 2*q^(11/2) - 6*q^(9/2) + 4*q^(7/2) + 4*q^(5/2) + 2*q^(3/2))*x1^(4)*x2^(-6) + (q^(23/2) + q^(21/2) + 2*q^(19/2) + 5*q^(17/2) + 7*q^(15/2) + 2*q^(13/2) + 4*q^(11/2) - 10*q^(9/2) + 14*q^(7/2) + 23*q^(5/2) + 24*q^(3/2) + 11*q^(1/2) + 6*q^(-1/2))*x1^(4)*x2^(-7) + (q^(29/2) + q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 8*q^(21/2) + 15*q^(19/2) + 25*q^(17/2) + 33*q^(15/2) + 21*q^(13/2) + 22*q^(11/2) + 2*q^(9/2) + 61*q^(7/2) + 98*q^(5/2) + 128*q^(3/2) + 108*q^(1/2) + 78*q^(-1/2) + 38*q^(-3/2) + 18*q^(-5/2) + 4*q^(-7/2))*x1^(4)*x2^(-8) + (q^(35/2) + q^(33/2) + 2*q^(31/2) + 6*q^(29/2) + 9*q^(27/2) + 15*q^(25/2) + 31*q^(23/2) + 47*q^(21/2) + 80*q^(19/2) + 115*q^(17/2) + 143*q^(15/2) + 133*q^(13/2) + 148*q^(11/2) + 136*q^(9/2) + 278*q^(7/2) + 410*q^(5/2) + 543*q^(3/2) + 569*q^(1/2) + 531*q^(-1/2) + 392*q^(-3/2) + 271*q^(-5/2) + 150*q^(-7/2) + 75*q^(-9/2) + 26*q^(-11/2) + 10*q^(-13/2))*x1^(4)*x2^(-9) + (-q^(5/2) - q^(3/2))*x1^(3)*x2^(-4) + (-q^(9/2) - 5*q^(5/2) - 6*q^(3/2) - 4*q^(1/2))*x1^(3)*x2^(-5) + (-q^(13/2) - q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 18*q^(5/2) - 27*q^(3/2) - 25*q^(1/2) - 13*q^(-1/2) - 3*q^(-3/2))*x1^(3)*x2^(-6) + (-q^(17/2) - q^(15/2) - 5*q^(13/2) - 7*q^(11/2) - 18*q^(9/2) - 27*q^(7/2) - 66*q^(5/2) - 96*q^(3/2) - 112*q^(1/2) - 87*q^(-1/2) - 56*q^(-3/2) - 20*q^(-5/2) - 8*q^(-7/2))*x1^(3)*x2^(-7) + (-q^(21/2) - q^(19/2) - 5*q^(17/2) - 8*q^(15/2) - 23*q^(13/2) - 39*q^(11/2) - 82*q^(9/2) - 129*q^(7/2) - 234*q^(5/2) - 332*q^(3/2) - 405*q^(1/2) - 399*q^(-1/2) - 337*q^(-3/2) - 227*q^(-5/2) - 131*q^(-7/2) - 61*q^(-9/2) - 23*q^(-11/2) - 5*q^(-13/2))*x1^(3)*x2^(-8) + (-q^(25/2) - q^(23/2) - 5*q^(21/2) - 8*q^(19/2) - 26*q^(17/2) - 50*q^(15/2) - 110*q^(13/2) - 191*q^(11/2) - 345*q^(9/2) - 524*q^(7/2) - 822*q^(5/2) - 1114*q^(3/2) - 1388*q^(1/2) - 1494*q^(-1/2) - 1478*q^(-3/2) - 1256*q^(-5/2) - 980*q^(-7/2) - 652*q^(-9/2) - 409*q^(-11/2) - 210*q^(-13/2) - 100*q^(-15/2) - 32*q^(-17/2) - 12*q^(-19/2))*x1^(3)*x2^(-9) + (2*q^(1/2))*x1^(2)*x2^(-3) + (q^(3/2) + 8*q^(1/2) + 2*q^(-1/2))*x1^(2)*x2^(-4) + (q^(5/2) + 6*q^(3/2) + 23*q^(1/2) + 14*q^(-1/2) + 6*q^(-3/2))*x1^(2)*x2^(-5) + (q^(7/2) + 9*q^(5/2) + 23*q^(3/2) + 61*q^(1/2) + 54*q^(-1/2) + 42*q^(-3/2) + 18*q^(-5/2) + 4*q^(-7/2))*x1^(2)*x2^(-6) + (3*q^(9/2) + 14*q^(7/2) + 39*q^(5/2) + 79*q^(3/2) + 160*q^(1/2) + 172*q^(-1/2) + 168*q^(-3/2) + 123*q^(-5/2) + 70*q^(-7/2) + 26*q^(-9/2) + 10*q^(-11/2))*x1^(2)*x2^(-7) + (4*q^(13/2) + 8*q^(11/2) + 31*q^(9/2) + 71*q^(7/2) + 147*q^(5/2) + 252*q^(3/2) + 430*q^(1/2) + 507*q^(-1/2) + 553*q^(-3/2) + 505*q^(-5/2) + 404*q^(-7/2) + 260*q^(-9/2) + 152*q^(-11/2) + 70*q^(-13/2) + 28*q^(-15/2) + 6*q^(-17/2))*x1^(2)*x2^(-8) + (2*q^(19/2) + 7*q^(17/2) + 14*q^(15/2) + 36*q^(13/2) + 76*q^(11/2) + 161*q^(9/2) + 295*q^(7/2) + 506*q^(5/2) + 784*q^(3/2) + 1185*q^(1/2) + 1457*q^(-1/2) + 1674*q^(-3/2) + 1712*q^(-5/2) + 1606*q^(-7/2) + 1328*q^(-9/2) + 1010*q^(-11/2) + 674*q^(-13/2) + 425*q^(-15/2) + 226*q^(-17/2) + 106*q^(-19/2) + 38*q^(-21/2) + 14*q^(-23/2))*x1^(2)*x2^(-9) + (-q^(-1/2))*x1*x2^(-2) + (-4*q^(-1/2))*x1*x2^(-3) + (-q^(1/2) - 10*q^(-1/2) - 3*q^(-3/2))*x1*x2^(-4) + (-2*q^(3/2) - 4*q^(1/2) - 22*q^(-1/2) - 12*q^(-3/2) - 8*q^(-5/2))*x1*x2^(-5) + (-q^(7/2) - 3*q^(5/2) - 8*q^(3/2) - 14*q^(1/2) - 46*q^(-1/2) - 36*q^(-3/2) - 33*q^(-5/2) - 18*q^(-7/2) - 5*q^(-9/2))*x1*x2^(-6) + (-2*q^(11/2) - 2*q^(9/2) - 8*q^(7/2) - 14*q^(5/2) - 28*q^(3/2) - 42*q^(1/2) - 100*q^(-1/2) - 94*q^(-3/2) - 102*q^(-5/2) - 80*q^(-7/2) - 56*q^(-9/2) - 20*q^(-11/2) - 12*q^(-13/2))*x1*x2^(-7) + (-q^(17/2) - 3*q^(15/2) - 4*q^(13/2) - 11*q^(11/2) - 17*q^(9/2) - 34*q^(7/2) - 53*q^(5/2) - 87*q^(3/2) - 124*q^(1/2) - 225*q^(-1/2) - 242*q^(-3/2) - 276*q^(-5/2) - 261*q^(-7/2) - 230*q^(-9/2) - 158*q^(-11/2) - 102*q^(-13/2) - 51*q^(-15/2) - 26*q^(-17/2) - 7*q^(-19/2))*x1*x2^(-8) + (-2*q^(23/2) - 2*q^(21/2) - 6*q^(19/2) - 10*q^(17/2) - 20*q^(15/2) - 28*q^(13/2) - 54*q^(11/2) - 76*q^(9/2) - 126*q^(7/2) - 178*q^(5/2) - 264*q^(3/2) - 352*q^(1/2) - 544*q^(-1/2) - 616*q^(-3/2) - 726*q^(-5/2) - 746*q^(-7/2) - 742*q^(-9/2) - 632*q^(-11/2) - 526*q^(-13/2) - 356*q^(-15/2) - 254*q^(-17/2) - 144*q^(-19/2) - 80*q^(-21/2) - 28*q^(-23/2) - 16*q^(-25/2))*x1*x2^(-9)
|
Braid
| Braid word |
Components |
Crossings |
Strands |
[1, -2, -1, -1, -3, -3, -2, -4, 3, 5, -4, 5] |
2 |
12 |
6 |
Multivariable Alexander polynomial
| ΔL |
-2*A1 + 4*A1*A2^(-1) - A1*A2^(-2) - 2*A2 + 5 - 2*A2^(-1) - A1^(-1)*A2^(2) + 4*A1^(-1)*A2 - 2*A1^(-1) |
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 |
(2, -4) |
yes |
(2, 0) |
no |
(-2, 4) |
yes |
(-2, 0) |
no |
HFL polytope
| Poincaré polynomial |
2*m^(-3)*A1^(-3/2)*A2^(-1/2) + 2*m^(-3)*A1^(-1/2)*A2^(-3/2) + m^(-3)*A1^(1/2)*A2^(-5/2) + 6*m^(-2)*A1^(-3/2)*A2^(1/2) + 9*m^(-2)*A1^(-1/2)*A2^(-1/2) + 7*m^(-2)*A1^(1/2)*A2^(-3/2) + m^(-2)*A1^(3/2)*A2^(-5/2) + 5*m^(-1)*A1^(-3/2)*A2^(3/2) + 13*m^(-1)*A1^(-1/2)*A2^(1/2) + 13*m^(-1)*A1^(1/2)*A2^(-1/2) + 5*m^(-1)*A1^(3/2)*A2^(-3/2) + A1^(-3/2)*A2^(5/2) + 7*A1^(-1/2)*A2^(3/2) + 9*A1^(1/2)*A2^(1/2) + 6*A1^(3/2)*A2^(-1/2) + m*A1^(-1/2)*A2^(5/2) + 2*m*A1^(1/2)*A2^(3/2) + 2*m*A1^(3/2)*A2^(1/2) |
| Vertex | Maslov | Rank |
(-3/2, -1/2) | -3 | 2 |
(1/2, -5/2) | -3 | 1 |
(3/2, -5/2) | -2 | 1 |
(3/2, 1/2) | 1 | 2 |
(-1/2, 5/2) | 1 | 1 |
(-3/2, 5/2) | 0 | 1 |
Record
FL/HFL Links
orderOption(int) |
408 |
namestring |
L10a67{1} |
statusstring |
success |
slugstring |
L10a67_1_df51f56d |
result_filestring |
details/L10a67_1_df51f56d.json |
complexity_scoreOption(int) |
200 |
strandsOption(int) |
null |
crossingsOption(int) |
10 |
component_countOption(int) |
2 |
girthOption(int) |
6 |
total_rankOption(int) |
92 |
wall_secondsOption(float) |
0.00205 |
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 |
1 |
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L10a67_1_df51f56d"
} |
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L10a67_1_df51f56d |