details/L8a3_1_e0a04cd5.json
FL expansions
| Newt(ΔL) vertex |
Exposing functional |
Leading x-power |
Leading q-power |
Inversion datum |
Inversion cycle |
FL |
(-1/2, -3/2) |
(1, 1) |
x1^(1/2)x2^(3/2) |
q^(3/2) |
{"0": [-1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1], "1": [1, 1, -1, 1, -1, 1]}
|
|
(-q^(3/2))*x1^(1/2)*x2^(3/2) + (-4*q^(3/2))*x1^(1/2)*x2^(5/2) + (2*q^(5/2))*x1^(3/2)*x2^(5/2) + (-q^(5/2) - 10*q^(3/2) - 3*q^(1/2))*x1^(1/2)*x2^(7/2) + (2*q^(7/2) + 8*q^(5/2) + 2*q^(3/2))*x1^(3/2)*x2^(7/2) + (-3*q^(9/2) - q^(7/2))*x1^(5/2)*x2^(7/2) + (-2*q^(7/2) - 4*q^(5/2) - 22*q^(3/2) - 12*q^(1/2) - 8*q^(-1/2))*x1^(1/2)*x2^(9/2) + (2*q^(9/2) + 10*q^(7/2) + 25*q^(5/2) + 14*q^(3/2) + 6*q^(1/2))*x1^(3/2)*x2^(9/2) + (-2*q^(13/2) - 4*q^(11/2) - 14*q^(9/2) - 8*q^(7/2) - 4*q^(5/2))*x1^(5/2)*x2^(9/2) + (4*q^(15/2) + 2*q^(13/2) + 2*q^(11/2))*x1^(7/2)*x2^(9/2) + (-q^(11/2) - 3*q^(9/2) - 8*q^(7/2) - 14*q^(5/2) - 46*q^(3/2) - 36*q^(1/2) - 33*q^(-1/2) - 18*q^(-3/2) - 5*q^(-5/2))*x1^(1/2)*x2^(11/2) + (2*q^(11/2) + 14*q^(9/2) + 36*q^(7/2) + 72*q^(5/2) + 60*q^(3/2) + 42*q^(1/2) + 18*q^(-1/2) + 4*q^(-3/2))*x1^(3/2)*x2^(11/2) + (-2*q^(17/2) - 2*q^(15/2) - 13*q^(13/2) - 26*q^(11/2) - 53*q^(9/2) - 45*q^(7/2) - 31*q^(5/2) - 13*q^(3/2) - 3*q^(1/2))*x1^(5/2)*x2^(11/2) + (2*q^(21/2) + 4*q^(19/2) + 8*q^(17/2) + 22*q^(15/2) + 18*q^(13/2) + 16*q^(11/2) + 8*q^(9/2) + 2*q^(7/2))*x1^(7/2)*x2^(11/2) + (-5*q^(23/2) - 3*q^(21/2) - 4*q^(19/2) - 3*q^(17/2) - q^(15/2))*x1^(9/2)*x2^(11/2) + (-2*q^(15/2) - 2*q^(13/2) - 8*q^(11/2) - 14*q^(9/2) - 28*q^(7/2) - 42*q^(5/2) - 100*q^(3/2) - 94*q^(1/2) - 102*q^(-1/2) - 80*q^(-3/2) - 56*q^(-5/2) - 20*q^(-7/2) - 12*q^(-9/2))*x1^(1/2)*x2^(13/2) + (4*q^(13/2) + 21*q^(11/2) + 58*q^(9/2) + 118*q^(7/2) + 202*q^(5/2) + 206*q^(3/2) + 186*q^(1/2) + 127*q^(-1/2) + 70*q^(-3/2) + 26*q^(-5/2) + 10*q^(-7/2))*x1^(3/2)*x2^(13/2) + (-2*q^(21/2) - 2*q^(19/2) - 10*q^(17/2) - 20*q^(15/2) - 64*q^(13/2) - 116*q^(11/2) - 194*q^(9/2) - 194*q^(7/2) - 170*q^(5/2) - 108*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 8*q^(-3/2))*x1^(5/2)*x2^(13/2) + (2*q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 16*q^(21/2) + 34*q^(19/2) + 58*q^(17/2) + 103*q^(15/2) + 106*q^(13/2) + 100*q^(11/2) + 69*q^(9/2) + 40*q^(7/2) + 14*q^(5/2) + 6*q^(3/2))*x1^(7/2)*x2^(13/2) + (-2*q^(31/2) - 4*q^(29/2) - 8*q^(27/2) - 14*q^(25/2) - 34*q^(23/2) - 32*q^(21/2) - 36*q^(19/2) - 30*q^(17/2) - 20*q^(15/2) - 8*q^(13/2) - 4*q^(11/2))*x1^(9/2)*x2^(13/2) + (6*q^(33/2) + 4*q^(31/2) + 6*q^(29/2) + 6*q^(27/2) + 6*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(11/2)*x2^(13/2) + (-q^(21/2) - 3*q^(19/2) - 4*q^(17/2) - 11*q^(15/2) - 17*q^(13/2) - 34*q^(11/2) - 53*q^(9/2) - 87*q^(7/2) - 124*q^(5/2) - 225*q^(3/2) - 242*q^(1/2) - 276*q^(-1/2) - 261*q^(-3/2) - 230*q^(-5/2) - 158*q^(-7/2) - 102*q^(-9/2) - 51*q^(-11/2) - 26*q^(-13/2) - 7*q^(-15/2))*x1^(1/2)*x2^(15/2) + (4*q^(17/2) + 10*q^(15/2) + 42*q^(13/2) + 102*q^(11/2) + 212*q^(9/2) + 366*q^(7/2) + 566*q^(5/2) + 642*q^(3/2) + 658*q^(1/2) + 570*q^(-1/2) + 430*q^(-3/2) + 270*q^(-5/2) + 152*q^(-7/2) + 70*q^(-9/2) + 28*q^(-11/2) + 6*q^(-13/2))*x1^(3/2)*x2^(15/2) + (-2*q^(25/2) - 2*q^(23/2) - 10*q^(21/2) - 16*q^(19/2) - 54*q^(17/2) - 120*q^(15/2) - 272*q^(13/2) - 451*q^(11/2) - 675*q^(9/2) - 750*q^(7/2) - 737*q^(5/2) - 602*q^(3/2) - 435*q^(1/2) - 261*q^(-1/2) - 141*q^(-3/2) - 61*q^(-5/2) - 23*q^(-7/2) - 5*q^(-9/2))*x1^(5/2)*x2^(15/2) + (2*q^(33/2) + 2*q^(31/2) + 4*q^(29/2) + 14*q^(27/2) + 22*q^(25/2) + 48*q^(23/2) + 98*q^(21/2) + 190*q^(19/2) + 304*q^(17/2) + 454*q^(15/2) + 512*q^(13/2) + 516*q^(11/2) + 430*q^(9/2) + 316*q^(7/2) + 194*q^(5/2) + 106*q^(3/2) + 46*q^(1/2) + 18*q^(-1/2) + 4*q^(-3/2))*x1^(7/2)*x2^(15/2) + (-2*q^(39/2) - 2*q^(37/2) - 6*q^(35/2) - 8*q^(33/2) - 25*q^(31/2) - 43*q^(29/2) - 77*q^(27/2) - 119*q^(25/2) - 192*q^(23/2) - 216*q^(21/2) - 235*q^(19/2) - 214*q^(17/2) - 172*q^(15/2) - 112*q^(13/2) - 66*q^(11/2) - 31*q^(9/2) - 13*q^(7/2) - 3*q^(5/2))*x1^(9/2)*x2^(15/2) + (2*q^(43/2) + 4*q^(41/2) + 8*q^(39/2) + 14*q^(37/2) + 24*q^(35/2) + 50*q^(33/2) + 54*q^(31/2) + 64*q^(29/2) + 66*q^(27/2) + 62*q^(25/2) + 44*q^(23/2) + 30*q^(21/2) + 16*q^(19/2) + 8*q^(17/2) + 2*q^(15/2))*x1^(11/2)*x2^(15/2) + (-7*q^(45/2) - 5*q^(43/2) - 8*q^(41/2) - 9*q^(39/2) - 11*q^(37/2) - 9*q^(35/2) - 7*q^(33/2) - 4*q^(31/2) - 3*q^(29/2) - q^(27/2))*x1^(13/2)*x2^(15/2) + (-2*q^(27/2) - 2*q^(25/2) - 6*q^(23/2) - 10*q^(21/2) - 20*q^(19/2) - 28*q^(17/2) - 54*q^(15/2) - 76*q^(13/2) - 126*q^(11/2) - 178*q^(9/2) - 264*q^(7/2) - 352*q^(5/2) - 544*q^(3/2) - 616*q^(1/2) - 726*q^(-1/2) - 746*q^(-3/2) - 742*q^(-5/2) - 632*q^(-7/2) - 526*q^(-9/2) - 356*q^(-11/2) - 254*q^(-13/2) - 144*q^(-15/2) - 80*q^(-17/2) - 28*q^(-19/2) - 16*q^(-21/2))*x1^(1/2)*x2^(17/2) + (2*q^(23/2) + 7*q^(21/2) + 16*q^(19/2) + 42*q^(17/2) + 99*q^(15/2) + 218*q^(13/2) + 414*q^(11/2) + 716*q^(9/2) + 1114*q^(7/2) + 1598*q^(5/2) + 1908*q^(3/2) + 2099*q^(1/2) + 2060*q^(-1/2) + 1846*q^(-3/2) + 1468*q^(-5/2) + 1080*q^(-7/2) + 702*q^(-9/2) + 431*q^(-11/2) + 226*q^(-13/2) + 106*q^(-15/2) + 38*q^(-17/2) + 14*q^(-19/2))*x1^(3/2)*x2^(17/2) + (-2*q^(29/2) - 2*q^(27/2) - 10*q^(25/2) - 16*q^(23/2) - 54*q^(21/2) - 112*q^(19/2) - 286*q^(17/2) - 564*q^(15/2) - 1054*q^(13/2) - 1622*q^(11/2) - 2284*q^(9/2) - 2668*q^(7/2) - 2842*q^(5/2) - 2648*q^(3/2) - 2274*q^(1/2) - 1718*q^(-1/2) - 1216*q^(-3/2) - 750*q^(-5/2) - 442*q^(-7/2) - 216*q^(-9/2) - 100*q^(-11/2) - 32*q^(-13/2) - 12*q^(-15/2))*x1^(5/2)*x2^(17/2) + (2*q^(39/2) + 2*q^(37/2) + 4*q^(35/2) + 12*q^(33/2) + 20*q^(31/2) + 36*q^(29/2) + 80*q^(27/2) + 140*q^(25/2) + 278*q^(23/2) + 519*q^(21/2) + 899*q^(19/2) + 1364*q^(17/2) + 1891*q^(15/2) + 2209*q^(13/2) + 2348*q^(11/2) + 2195*q^(9/2) + 1870*q^(7/2) + 1419*q^(5/2) + 1001*q^(3/2) + 616*q^(1/2) + 359*q^(-1/2) + 178*q^(-3/2) + 80*q^(-5/2) + 26*q^(-7/2) + 10*q^(-9/2))*x1^(7/2)*x2^(17/2) + (-2*q^(47/2) - 2*q^(45/2) - 4*q^(43/2) - 8*q^(41/2) - 18*q^(39/2) - 28*q^(37/2) - 58*q^(35/2) - 92*q^(33/2) - 180*q^(31/2) - 298*q^(29/2) - 488*q^(27/2) - 708*q^(25/2) - 1000*q^(23/2) - 1178*q^(21/2) - 1302*q^(19/2) - 1262*q^(17/2) - 1128*q^(15/2) - 886*q^(13/2) - 652*q^(11/2) - 414*q^(9/2) - 252*q^(7/2) - 128*q^(5/2) - 60*q^(3/2) - 20*q^(1/2) - 8*q^(-1/2))*x1^(9/2)*x2^(17/2) + (2*q^(53/2) + 2*q^(51/2) + 6*q^(49/2) + 8*q^(47/2) + 16*q^(45/2) + 32*q^(43/2) + 62*q^(41/2) + 98*q^(39/2) + 158*q^(37/2) + 232*q^(35/2) + 347*q^(33/2) + 412*q^(31/2) + 476*q^(29/2) + 493*q^(27/2) + 480*q^(25/2) + 403*q^(23/2) + 320*q^(21/2) + 218*q^(19/2) + 145*q^(17/2) + 78*q^(15/2) + 40*q^(13/2) + 14*q^(11/2) + 6*q^(9/2))*x1^(11/2)*x2^(17/2) + (-2*q^(57/2) - 4*q^(55/2) - 8*q^(53/2) - 14*q^(51/2) - 24*q^(49/2) - 38*q^(47/2) - 74*q^(45/2) - 84*q^(43/2) - 106*q^(41/2) - 118*q^(39/2) - 128*q^(37/2) - 118*q^(35/2) - 104*q^(33/2) - 76*q^(31/2) - 58*q^(29/2) - 36*q^(27/2) - 20*q^(25/2) - 8*q^(23/2) - 4*q^(21/2))*x1^(13/2)*x2^(17/2) + (8*q^(59/2) + 6*q^(57/2) + 10*q^(55/2) + 12*q^(53/2) + 16*q^(51/2) + 16*q^(49/2) + 18*q^(47/2) + 12*q^(45/2) + 12*q^(43/2) + 8*q^(41/2) + 6*q^(39/2) + 2*q^(37/2) + 2*q^(35/2))*x1^(15/2)*x2^(17/2) + (-q^(35/2) - 3*q^(33/2) - 4*q^(31/2) - 7*q^(29/2) - 17*q^(27/2) - 23*q^(25/2) - 41*q^(23/2) - 62*q^(21/2) - 98*q^(19/2) - 138*q^(17/2) - 215*q^(15/2) - 294*q^(13/2) - 425*q^(11/2) - 573*q^(9/2) - 780*q^(7/2) - 1003*q^(5/2) - 1379*q^(3/2) - 1607*q^(1/2) - 1890*q^(-1/2) - 2047*q^(-3/2) - 2146*q^(-5/2) - 2059*q^(-7/2) - 1918*q^(-9/2) - 1604*q^(-11/2) - 1303*q^(-13/2) - 976*q^(-15/2) - 699*q^(-17/2) - 442*q^(-19/2) - 280*q^(-21/2) - 142*q^(-23/2) - 69*q^(-25/2) - 34*q^(-27/2) - 9*q^(-29/2))*x1^(1/2)*x2^(19/2) + (4*q^(29/2) + 6*q^(27/2) + 18*q^(25/2) + 38*q^(23/2) + 80*q^(21/2) + 146*q^(19/2) + 294*q^(17/2) + 528*q^(15/2) + 932*q^(13/2) + 1514*q^(11/2) + 2338*q^(9/2) + 3362*q^(7/2) + 4574*q^(5/2) + 5560*q^(3/2) + 6350*q^(1/2) + 6696*q^(-1/2) + 6604*q^(-3/2) + 6024*q^(-5/2) + 5158*q^(-7/2) + 4084*q^(-9/2) + 3060*q^(-11/2) + 2130*q^(-13/2) + 1384*q^(-15/2) + 822*q^(-17/2) + 458*q^(-19/2) + 220*q^(-21/2) + 98*q^(-23/2) + 38*q^(-25/2) + 8*q^(-27/2))*x1^(3/2)*x2^(19/2) + (-2*q^(33/2) - 2*q^(31/2) - 10*q^(29/2) - 19*q^(27/2) - 64*q^(25/2) - 133*q^(23/2) - 325*q^(21/2) - 657*q^(19/2) - 1335*q^(17/2) - 2336*q^(15/2) - 3838*q^(13/2) - 5587*q^(11/2) - 7551*q^(9/2) - 9060*q^(7/2) - 10089*q^(5/2) - 10252*q^(3/2) - 9730*q^(1/2) - 8498*q^(-1/2) - 6981*q^(-3/2) - 5301*q^(-5/2) - 3804*q^(-7/2) - 2524*q^(-9/2) - 1574*q^(-11/2) - 891*q^(-13/2) - 473*q^(-15/2) - 219*q^(-17/2) - 91*q^(-19/2) - 33*q^(-21/2) - 7*q^(-23/2))*x1^(5/2)*x2^(19/2) + (2*q^(45/2) + 2*q^(43/2) + 4*q^(41/2) + 12*q^(39/2) + 18*q^(37/2) + 34*q^(35/2) + 68*q^(33/2) + 122*q^(31/2) + 216*q^(29/2) + 426*q^(27/2) + 764*q^(25/2) + 1414*q^(23/2) + 2426*q^(21/2) + 3876*q^(19/2) + 5586*q^(17/2) + 7446*q^(15/2) + 8872*q^(13/2) + 9772*q^(11/2) + 9846*q^(9/2) + 9218*q^(7/2) + 7972*q^(5/2) + 6476*q^(3/2) + 4866*q^(1/2) + 3444*q^(-1/2) + 2264*q^(-3/2) + 1390*q^(-5/2) + 778*q^(-7/2) + 410*q^(-9/2) + 186*q^(-11/2) + 76*q^(-13/2) + 28*q^(-15/2) + 6*q^(-17/2))*x1^(7/2)*x2^(19/2) + (-2*q^(55/2) - 2*q^(53/2) - 4*q^(51/2) - 6*q^(49/2) - 18*q^(47/2) - 24*q^(45/2) - 44*q^(43/2) - 74*q^(41/2) - 135*q^(39/2) - 217*q^(37/2) - 389*q^(35/2) - 623*q^(33/2) - 1064*q^(31/2) - 1680*q^(29/2) - 2570*q^(27/2) - 3602*q^(25/2) - 4795*q^(23/2) - 5725*q^(21/2) - 6408*q^(19/2) - 6559*q^(17/2) - 6264*q^(15/2) - 5515*q^(13/2) - 4572*q^(11/2) - 3492*q^(9/2) - 2520*q^(7/2) - 1681*q^(5/2) - 1048*q^(3/2) - 597*q^(1/2) - 319*q^(-1/2) - 146*q^(-3/2) - 61*q^(-5/2) - 23*q^(-7/2) - 5*q^(-9/2))*x1^(9/2)*x2^(19/2) + (2*q^(63/2) + 2*q^(61/2) + 4*q^(59/2) + 8*q^(57/2) + 12*q^(55/2) + 24*q^(53/2) + 40*q^(51/2) + 70*q^(49/2) + 110*q^(47/2) + 188*q^(45/2) + 308*q^(43/2) + 504*q^(41/2) + 764*q^(39/2) + 1128*q^(37/2) + 1562*q^(35/2) + 2098*q^(33/2) + 2534*q^(31/2) + 2910*q^(29/2) + 3088*q^(27/2) + 3086*q^(25/2) + 2838*q^(23/2) + 2462*q^(21/2) + 1966*q^(19/2) + 1484*q^(17/2) + 1034*q^(15/2) + 676*q^(13/2) + 398*q^(11/2) + 222*q^(9/2) + 106*q^(7/2) + 46*q^(5/2) + 18*q^(3/2) + 4*q^(1/2))*x1^(11/2)*x2^(19/2) + (-2*q^(69/2) - 2*q^(67/2) - 6*q^(65/2) - 8*q^(63/2) - 16*q^(61/2) - 22*q^(59/2) - 49*q^(57/2) - 79*q^(55/2) - 135*q^(53/2) - 202*q^(51/2) - 306*q^(49/2) - 430*q^(47/2) - 617*q^(45/2) - 749*q^(43/2) - 895*q^(41/2) - 990*q^(39/2) - 1055*q^(37/2) - 1028*q^(35/2) - 954*q^(33/2) - 807*q^(31/2) - 656*q^(29/2) - 491*q^(27/2) - 345*q^(25/2) - 217*q^(23/2) - 130*q^(21/2) - 66*q^(19/2) - 31*q^(17/2) - 13*q^(15/2) - 3*q^(13/2))*x1^(13/2)*x2^(19/2) + (2*q^(73/2) + 4*q^(71/2) + 8*q^(69/2) + 14*q^(67/2) + 24*q^(65/2) + 38*q^(63/2) + 60*q^(61/2) + 106*q^(59/2) + 128*q^(57/2) + 164*q^(55/2) + 194*q^(53/2) + 222*q^(51/2) + 234*q^(49/2) + 238*q^(47/2) + 212*q^(45/2) + 188*q^(43/2) + 154*q^(41/2) + 120*q^(39/2) + 82*q^(37/2) + 56*q^(35/2) + 30*q^(33/2) + 16*q^(31/2) + 8*q^(29/2) + 2*q^(27/2))*x1^(15/2)*x2^(19/2) + (-9*q^(75/2) - 7*q^(73/2) - 12*q^(71/2) - 15*q^(69/2) - 21*q^(67/2) - 23*q^(65/2) - 29*q^(63/2) - 27*q^(61/2) - 26*q^(59/2) - 23*q^(57/2) - 21*q^(55/2) - 15*q^(53/2) - 13*q^(51/2) - 7*q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - q^(43/2))*x1^(17/2)*x2^(19/2)
|
(-1/2, -3/2) |
(1, 1) |
x1^(1/2)x2^(3/2) |
q^(3/2) |
{"0": [1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], "1": [1, 1, -1, 1, -1, 1]}
|
|
(-q^(3/2))*x1^(1/2)*x2^(3/2) + (-4*q^(3/2))*x1^(1/2)*x2^(5/2) + (2*q^(5/2))*x1^(3/2)*x2^(5/2) + (-q^(5/2) - 10*q^(3/2) - 3*q^(1/2))*x1^(1/2)*x2^(7/2) + (2*q^(7/2) + 8*q^(5/2) + 2*q^(3/2))*x1^(3/2)*x2^(7/2) + (-3*q^(9/2) - q^(7/2))*x1^(5/2)*x2^(7/2) + (-2*q^(7/2) - 4*q^(5/2) - 22*q^(3/2) - 12*q^(1/2) - 8*q^(-1/2))*x1^(1/2)*x2^(9/2) + (2*q^(9/2) + 10*q^(7/2) + 25*q^(5/2) + 14*q^(3/2) + 6*q^(1/2))*x1^(3/2)*x2^(9/2) + (-2*q^(13/2) - 4*q^(11/2) - 14*q^(9/2) - 8*q^(7/2) - 4*q^(5/2))*x1^(5/2)*x2^(9/2) + (4*q^(15/2) + 2*q^(13/2) + 2*q^(11/2))*x1^(7/2)*x2^(9/2) + (-q^(11/2) - 3*q^(9/2) - 8*q^(7/2) - 14*q^(5/2) - 46*q^(3/2) - 36*q^(1/2) - 33*q^(-1/2) - 18*q^(-3/2) - 5*q^(-5/2))*x1^(1/2)*x2^(11/2) + (2*q^(11/2) + 14*q^(9/2) + 36*q^(7/2) + 72*q^(5/2) + 60*q^(3/2) + 42*q^(1/2) + 18*q^(-1/2) + 4*q^(-3/2))*x1^(3/2)*x2^(11/2) + (-2*q^(17/2) - 2*q^(15/2) - 13*q^(13/2) - 26*q^(11/2) - 53*q^(9/2) - 45*q^(7/2) - 31*q^(5/2) - 13*q^(3/2) - 3*q^(1/2))*x1^(5/2)*x2^(11/2) + (2*q^(21/2) + 4*q^(19/2) + 8*q^(17/2) + 22*q^(15/2) + 18*q^(13/2) + 16*q^(11/2) + 8*q^(9/2) + 2*q^(7/2))*x1^(7/2)*x2^(11/2) + (-5*q^(23/2) - 3*q^(21/2) - 4*q^(19/2) - 3*q^(17/2) - q^(15/2))*x1^(9/2)*x2^(11/2) + (-2*q^(15/2) - 2*q^(13/2) - 8*q^(11/2) - 14*q^(9/2) - 28*q^(7/2) - 42*q^(5/2) - 100*q^(3/2) - 94*q^(1/2) - 102*q^(-1/2) - 80*q^(-3/2) - 56*q^(-5/2) - 20*q^(-7/2) - 12*q^(-9/2))*x1^(1/2)*x2^(13/2) + (4*q^(13/2) + 21*q^(11/2) + 58*q^(9/2) + 118*q^(7/2) + 202*q^(5/2) + 206*q^(3/2) + 186*q^(1/2) + 127*q^(-1/2) + 70*q^(-3/2) + 26*q^(-5/2) + 10*q^(-7/2))*x1^(3/2)*x2^(13/2) + (-2*q^(21/2) - 2*q^(19/2) - 10*q^(17/2) - 20*q^(15/2) - 64*q^(13/2) - 116*q^(11/2) - 194*q^(9/2) - 194*q^(7/2) - 170*q^(5/2) - 108*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 8*q^(-3/2))*x1^(5/2)*x2^(13/2) + (2*q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 16*q^(21/2) + 34*q^(19/2) + 58*q^(17/2) + 103*q^(15/2) + 106*q^(13/2) + 100*q^(11/2) + 69*q^(9/2) + 40*q^(7/2) + 14*q^(5/2) + 6*q^(3/2))*x1^(7/2)*x2^(13/2) + (-2*q^(31/2) - 4*q^(29/2) - 8*q^(27/2) - 14*q^(25/2) - 34*q^(23/2) - 32*q^(21/2) - 36*q^(19/2) - 30*q^(17/2) - 20*q^(15/2) - 8*q^(13/2) - 4*q^(11/2))*x1^(9/2)*x2^(13/2) + (6*q^(33/2) + 4*q^(31/2) + 6*q^(29/2) + 6*q^(27/2) + 6*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(11/2)*x2^(13/2) + (-q^(21/2) - 3*q^(19/2) - 4*q^(17/2) - 11*q^(15/2) - 17*q^(13/2) - 34*q^(11/2) - 53*q^(9/2) - 87*q^(7/2) - 124*q^(5/2) - 225*q^(3/2) - 242*q^(1/2) - 276*q^(-1/2) - 261*q^(-3/2) - 230*q^(-5/2) - 158*q^(-7/2) - 102*q^(-9/2) - 51*q^(-11/2) - 26*q^(-13/2) - 7*q^(-15/2))*x1^(1/2)*x2^(15/2) + (4*q^(17/2) + 10*q^(15/2) + 42*q^(13/2) + 102*q^(11/2) + 212*q^(9/2) + 366*q^(7/2) + 566*q^(5/2) + 642*q^(3/2) + 658*q^(1/2) + 570*q^(-1/2) + 430*q^(-3/2) + 270*q^(-5/2) + 152*q^(-7/2) + 70*q^(-9/2) + 28*q^(-11/2) + 6*q^(-13/2))*x1^(3/2)*x2^(15/2) + (-2*q^(25/2) - 2*q^(23/2) - 10*q^(21/2) - 16*q^(19/2) - 54*q^(17/2) - 120*q^(15/2) - 272*q^(13/2) - 451*q^(11/2) - 675*q^(9/2) - 750*q^(7/2) - 737*q^(5/2) - 602*q^(3/2) - 435*q^(1/2) - 261*q^(-1/2) - 141*q^(-3/2) - 61*q^(-5/2) - 23*q^(-7/2) - 5*q^(-9/2))*x1^(5/2)*x2^(15/2) + (2*q^(33/2) + 2*q^(31/2) + 4*q^(29/2) + 14*q^(27/2) + 22*q^(25/2) + 48*q^(23/2) + 98*q^(21/2) + 190*q^(19/2) + 304*q^(17/2) + 454*q^(15/2) + 512*q^(13/2) + 516*q^(11/2) + 430*q^(9/2) + 316*q^(7/2) + 194*q^(5/2) + 106*q^(3/2) + 46*q^(1/2) + 18*q^(-1/2) + 4*q^(-3/2))*x1^(7/2)*x2^(15/2) + (-2*q^(39/2) - 2*q^(37/2) - 6*q^(35/2) - 8*q^(33/2) - 25*q^(31/2) - 43*q^(29/2) - 77*q^(27/2) - 119*q^(25/2) - 192*q^(23/2) - 216*q^(21/2) - 235*q^(19/2) - 214*q^(17/2) - 172*q^(15/2) - 112*q^(13/2) - 66*q^(11/2) - 31*q^(9/2) - 13*q^(7/2) - 3*q^(5/2))*x1^(9/2)*x2^(15/2) + (2*q^(43/2) + 4*q^(41/2) + 8*q^(39/2) + 14*q^(37/2) + 24*q^(35/2) + 50*q^(33/2) + 54*q^(31/2) + 64*q^(29/2) + 66*q^(27/2) + 62*q^(25/2) + 44*q^(23/2) + 30*q^(21/2) + 16*q^(19/2) + 8*q^(17/2) + 2*q^(15/2))*x1^(11/2)*x2^(15/2) + (-7*q^(45/2) - 5*q^(43/2) - 8*q^(41/2) - 9*q^(39/2) - 11*q^(37/2) - 9*q^(35/2) - 7*q^(33/2) - 4*q^(31/2) - 3*q^(29/2) - q^(27/2))*x1^(13/2)*x2^(15/2) + (-2*q^(27/2) - 2*q^(25/2) - 6*q^(23/2) - 10*q^(21/2) - 20*q^(19/2) - 28*q^(17/2) - 54*q^(15/2) - 76*q^(13/2) - 126*q^(11/2) - 178*q^(9/2) - 264*q^(7/2) - 352*q^(5/2) - 544*q^(3/2) - 616*q^(1/2) - 726*q^(-1/2) - 746*q^(-3/2) - 742*q^(-5/2) - 632*q^(-7/2) - 526*q^(-9/2) - 356*q^(-11/2) - 254*q^(-13/2) - 144*q^(-15/2) - 80*q^(-17/2) - 28*q^(-19/2) - 16*q^(-21/2))*x1^(1/2)*x2^(17/2) + (2*q^(23/2) + 7*q^(21/2) + 16*q^(19/2) + 42*q^(17/2) + 99*q^(15/2) + 218*q^(13/2) + 414*q^(11/2) + 716*q^(9/2) + 1114*q^(7/2) + 1598*q^(5/2) + 1908*q^(3/2) + 2099*q^(1/2) + 2060*q^(-1/2) + 1846*q^(-3/2) + 1468*q^(-5/2) + 1080*q^(-7/2) + 702*q^(-9/2) + 431*q^(-11/2) + 226*q^(-13/2) + 106*q^(-15/2) + 38*q^(-17/2) + 14*q^(-19/2))*x1^(3/2)*x2^(17/2) + (-2*q^(29/2) - 2*q^(27/2) - 10*q^(25/2) - 16*q^(23/2) - 54*q^(21/2) - 112*q^(19/2) - 286*q^(17/2) - 564*q^(15/2) - 1054*q^(13/2) - 1622*q^(11/2) - 2284*q^(9/2) - 2668*q^(7/2) - 2842*q^(5/2) - 2648*q^(3/2) - 2274*q^(1/2) - 1718*q^(-1/2) - 1216*q^(-3/2) - 750*q^(-5/2) - 442*q^(-7/2) - 216*q^(-9/2) - 100*q^(-11/2) - 32*q^(-13/2) - 12*q^(-15/2))*x1^(5/2)*x2^(17/2) + (2*q^(39/2) + 2*q^(37/2) + 4*q^(35/2) + 12*q^(33/2) + 20*q^(31/2) + 36*q^(29/2) + 80*q^(27/2) + 140*q^(25/2) + 278*q^(23/2) + 519*q^(21/2) + 899*q^(19/2) + 1364*q^(17/2) + 1891*q^(15/2) + 2209*q^(13/2) + 2348*q^(11/2) + 2195*q^(9/2) + 1870*q^(7/2) + 1419*q^(5/2) + 1001*q^(3/2) + 616*q^(1/2) + 359*q^(-1/2) + 178*q^(-3/2) + 80*q^(-5/2) + 26*q^(-7/2) + 10*q^(-9/2))*x1^(7/2)*x2^(17/2) + (-2*q^(47/2) - 2*q^(45/2) - 4*q^(43/2) - 8*q^(41/2) - 18*q^(39/2) - 28*q^(37/2) - 58*q^(35/2) - 92*q^(33/2) - 180*q^(31/2) - 298*q^(29/2) - 488*q^(27/2) - 708*q^(25/2) - 1000*q^(23/2) - 1178*q^(21/2) - 1302*q^(19/2) - 1262*q^(17/2) - 1128*q^(15/2) - 886*q^(13/2) - 652*q^(11/2) - 414*q^(9/2) - 252*q^(7/2) - 128*q^(5/2) - 60*q^(3/2) - 20*q^(1/2) - 8*q^(-1/2))*x1^(9/2)*x2^(17/2) + (2*q^(53/2) + 2*q^(51/2) + 6*q^(49/2) + 8*q^(47/2) + 16*q^(45/2) + 32*q^(43/2) + 62*q^(41/2) + 98*q^(39/2) + 158*q^(37/2) + 232*q^(35/2) + 347*q^(33/2) + 412*q^(31/2) + 476*q^(29/2) + 493*q^(27/2) + 480*q^(25/2) + 403*q^(23/2) + 320*q^(21/2) + 218*q^(19/2) + 145*q^(17/2) + 78*q^(15/2) + 40*q^(13/2) + 14*q^(11/2) + 6*q^(9/2))*x1^(11/2)*x2^(17/2) + (-2*q^(57/2) - 4*q^(55/2) - 8*q^(53/2) - 14*q^(51/2) - 24*q^(49/2) - 38*q^(47/2) - 74*q^(45/2) - 84*q^(43/2) - 106*q^(41/2) - 118*q^(39/2) - 128*q^(37/2) - 118*q^(35/2) - 104*q^(33/2) - 76*q^(31/2) - 58*q^(29/2) - 36*q^(27/2) - 20*q^(25/2) - 8*q^(23/2) - 4*q^(21/2))*x1^(13/2)*x2^(17/2) + (8*q^(59/2) + 6*q^(57/2) + 10*q^(55/2) + 12*q^(53/2) + 16*q^(51/2) + 16*q^(49/2) + 18*q^(47/2) + 12*q^(45/2) + 12*q^(43/2) + 8*q^(41/2) + 6*q^(39/2) + 2*q^(37/2) + 2*q^(35/2))*x1^(15/2)*x2^(17/2) + (-q^(35/2) - 3*q^(33/2) - 4*q^(31/2) - 7*q^(29/2) - 17*q^(27/2) - 23*q^(25/2) - 41*q^(23/2) - 62*q^(21/2) - 98*q^(19/2) - 138*q^(17/2) - 215*q^(15/2) - 294*q^(13/2) - 425*q^(11/2) - 573*q^(9/2) - 780*q^(7/2) - 1003*q^(5/2) - 1379*q^(3/2) - 1607*q^(1/2) - 1890*q^(-1/2) - 2047*q^(-3/2) - 2146*q^(-5/2) - 2059*q^(-7/2) - 1918*q^(-9/2) - 1604*q^(-11/2) - 1303*q^(-13/2) - 976*q^(-15/2) - 699*q^(-17/2) - 442*q^(-19/2) - 280*q^(-21/2) - 142*q^(-23/2) - 69*q^(-25/2) - 34*q^(-27/2) - 9*q^(-29/2))*x1^(1/2)*x2^(19/2) + (4*q^(29/2) + 6*q^(27/2) + 18*q^(25/2) + 38*q^(23/2) + 80*q^(21/2) + 146*q^(19/2) + 294*q^(17/2) + 528*q^(15/2) + 932*q^(13/2) + 1514*q^(11/2) + 2338*q^(9/2) + 3362*q^(7/2) + 4574*q^(5/2) + 5560*q^(3/2) + 6350*q^(1/2) + 6696*q^(-1/2) + 6604*q^(-3/2) + 6024*q^(-5/2) + 5158*q^(-7/2) + 4084*q^(-9/2) + 3060*q^(-11/2) + 2130*q^(-13/2) + 1384*q^(-15/2) + 822*q^(-17/2) + 458*q^(-19/2) + 220*q^(-21/2) + 98*q^(-23/2) + 38*q^(-25/2) + 8*q^(-27/2))*x1^(3/2)*x2^(19/2) + (-2*q^(33/2) - 2*q^(31/2) - 10*q^(29/2) - 19*q^(27/2) - 64*q^(25/2) - 133*q^(23/2) - 325*q^(21/2) - 657*q^(19/2) - 1335*q^(17/2) - 2336*q^(15/2) - 3838*q^(13/2) - 5587*q^(11/2) - 7551*q^(9/2) - 9060*q^(7/2) - 10089*q^(5/2) - 10252*q^(3/2) - 9730*q^(1/2) - 8498*q^(-1/2) - 6981*q^(-3/2) - 5301*q^(-5/2) - 3804*q^(-7/2) - 2524*q^(-9/2) - 1574*q^(-11/2) - 891*q^(-13/2) - 473*q^(-15/2) - 219*q^(-17/2) - 91*q^(-19/2) - 33*q^(-21/2) - 7*q^(-23/2))*x1^(5/2)*x2^(19/2) + (2*q^(45/2) + 2*q^(43/2) + 4*q^(41/2) + 12*q^(39/2) + 18*q^(37/2) + 34*q^(35/2) + 68*q^(33/2) + 122*q^(31/2) + 216*q^(29/2) + 426*q^(27/2) + 764*q^(25/2) + 1414*q^(23/2) + 2426*q^(21/2) + 3876*q^(19/2) + 5586*q^(17/2) + 7446*q^(15/2) + 8872*q^(13/2) + 9772*q^(11/2) + 9846*q^(9/2) + 9218*q^(7/2) + 7972*q^(5/2) + 6476*q^(3/2) + 4866*q^(1/2) + 3444*q^(-1/2) + 2264*q^(-3/2) + 1390*q^(-5/2) + 778*q^(-7/2) + 410*q^(-9/2) + 186*q^(-11/2) + 76*q^(-13/2) + 28*q^(-15/2) + 6*q^(-17/2))*x1^(7/2)*x2^(19/2) + (-2*q^(55/2) - 2*q^(53/2) - 4*q^(51/2) - 6*q^(49/2) - 18*q^(47/2) - 24*q^(45/2) - 44*q^(43/2) - 74*q^(41/2) - 135*q^(39/2) - 217*q^(37/2) - 389*q^(35/2) - 623*q^(33/2) - 1064*q^(31/2) - 1680*q^(29/2) - 2570*q^(27/2) - 3602*q^(25/2) - 4795*q^(23/2) - 5725*q^(21/2) - 6408*q^(19/2) - 6559*q^(17/2) - 6264*q^(15/2) - 5515*q^(13/2) - 4572*q^(11/2) - 3492*q^(9/2) - 2520*q^(7/2) - 1681*q^(5/2) - 1048*q^(3/2) - 597*q^(1/2) - 319*q^(-1/2) - 146*q^(-3/2) - 61*q^(-5/2) - 23*q^(-7/2) - 5*q^(-9/2))*x1^(9/2)*x2^(19/2) + (2*q^(63/2) + 2*q^(61/2) + 4*q^(59/2) + 8*q^(57/2) + 12*q^(55/2) + 24*q^(53/2) + 40*q^(51/2) + 70*q^(49/2) + 110*q^(47/2) + 188*q^(45/2) + 308*q^(43/2) + 504*q^(41/2) + 764*q^(39/2) + 1128*q^(37/2) + 1562*q^(35/2) + 2098*q^(33/2) + 2534*q^(31/2) + 2910*q^(29/2) + 3088*q^(27/2) + 3086*q^(25/2) + 2838*q^(23/2) + 2462*q^(21/2) + 1966*q^(19/2) + 1484*q^(17/2) + 1034*q^(15/2) + 676*q^(13/2) + 398*q^(11/2) + 222*q^(9/2) + 106*q^(7/2) + 46*q^(5/2) + 18*q^(3/2) + 4*q^(1/2))*x1^(11/2)*x2^(19/2) + (-2*q^(69/2) - 2*q^(67/2) - 6*q^(65/2) - 8*q^(63/2) - 16*q^(61/2) - 22*q^(59/2) - 49*q^(57/2) - 79*q^(55/2) - 135*q^(53/2) - 202*q^(51/2) - 306*q^(49/2) - 430*q^(47/2) - 617*q^(45/2) - 749*q^(43/2) - 895*q^(41/2) - 990*q^(39/2) - 1055*q^(37/2) - 1028*q^(35/2) - 954*q^(33/2) - 807*q^(31/2) - 656*q^(29/2) - 491*q^(27/2) - 345*q^(25/2) - 217*q^(23/2) - 130*q^(21/2) - 66*q^(19/2) - 31*q^(17/2) - 13*q^(15/2) - 3*q^(13/2))*x1^(13/2)*x2^(19/2) + (2*q^(73/2) + 4*q^(71/2) + 8*q^(69/2) + 14*q^(67/2) + 24*q^(65/2) + 38*q^(63/2) + 60*q^(61/2) + 106*q^(59/2) + 128*q^(57/2) + 164*q^(55/2) + 194*q^(53/2) + 222*q^(51/2) + 234*q^(49/2) + 238*q^(47/2) + 212*q^(45/2) + 188*q^(43/2) + 154*q^(41/2) + 120*q^(39/2) + 82*q^(37/2) + 56*q^(35/2) + 30*q^(33/2) + 16*q^(31/2) + 8*q^(29/2) + 2*q^(27/2))*x1^(15/2)*x2^(19/2) + (-9*q^(75/2) - 7*q^(73/2) - 12*q^(71/2) - 15*q^(69/2) - 21*q^(67/2) - 23*q^(65/2) - 29*q^(63/2) - 27*q^(61/2) - 26*q^(59/2) - 23*q^(57/2) - 21*q^(55/2) - 15*q^(53/2) - 13*q^(51/2) - 7*q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - q^(43/2))*x1^(17/2)*x2^(19/2)
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(1/2, 3/2) |
|
x1^(-1/2)x2^(-3/2) |
q^(3/2) |
|
|
(-q^(3/2))*x1^(-1/2)*x2^(-3/2) + (-4*q^(3/2))*x1^(-1/2)*x2^(-5/2) + (2*q^(5/2))*x1^(-3/2)*x2^(-5/2) + (-q^(5/2) - 10*q^(3/2) - 3*q^(1/2))*x1^(-1/2)*x2^(-7/2) + (2*q^(7/2) + 8*q^(5/2) + 2*q^(3/2))*x1^(-3/2)*x2^(-7/2) + (-3*q^(9/2) - q^(7/2))*x1^(-5/2)*x2^(-7/2) + (-2*q^(7/2) - 4*q^(5/2) - 22*q^(3/2) - 12*q^(1/2) - 8*q^(-1/2))*x1^(-1/2)*x2^(-9/2) + (2*q^(9/2) + 10*q^(7/2) + 25*q^(5/2) + 14*q^(3/2) + 6*q^(1/2))*x1^(-3/2)*x2^(-9/2) + (-2*q^(13/2) - 4*q^(11/2) - 14*q^(9/2) - 8*q^(7/2) - 4*q^(5/2))*x1^(-5/2)*x2^(-9/2) + (4*q^(15/2) + 2*q^(13/2) + 2*q^(11/2))*x1^(-7/2)*x2^(-9/2) + (-q^(11/2) - 3*q^(9/2) - 8*q^(7/2) - 14*q^(5/2) - 46*q^(3/2) - 36*q^(1/2) - 33*q^(-1/2) - 18*q^(-3/2) - 5*q^(-5/2))*x1^(-1/2)*x2^(-11/2) + (2*q^(11/2) + 14*q^(9/2) + 36*q^(7/2) + 72*q^(5/2) + 60*q^(3/2) + 42*q^(1/2) + 18*q^(-1/2) + 4*q^(-3/2))*x1^(-3/2)*x2^(-11/2) + (-2*q^(17/2) - 2*q^(15/2) - 13*q^(13/2) - 26*q^(11/2) - 53*q^(9/2) - 45*q^(7/2) - 31*q^(5/2) - 13*q^(3/2) - 3*q^(1/2))*x1^(-5/2)*x2^(-11/2) + (2*q^(21/2) + 4*q^(19/2) + 8*q^(17/2) + 22*q^(15/2) + 18*q^(13/2) + 16*q^(11/2) + 8*q^(9/2) + 2*q^(7/2))*x1^(-7/2)*x2^(-11/2) + (-5*q^(23/2) - 3*q^(21/2) - 4*q^(19/2) - 3*q^(17/2) - q^(15/2))*x1^(-9/2)*x2^(-11/2) + (-2*q^(15/2) - 2*q^(13/2) - 8*q^(11/2) - 14*q^(9/2) - 28*q^(7/2) - 42*q^(5/2) - 100*q^(3/2) - 94*q^(1/2) - 102*q^(-1/2) - 80*q^(-3/2) - 56*q^(-5/2) - 20*q^(-7/2) - 12*q^(-9/2))*x1^(-1/2)*x2^(-13/2) + (4*q^(13/2) + 21*q^(11/2) + 58*q^(9/2) + 118*q^(7/2) + 202*q^(5/2) + 206*q^(3/2) + 186*q^(1/2) + 127*q^(-1/2) + 70*q^(-3/2) + 26*q^(-5/2) + 10*q^(-7/2))*x1^(-3/2)*x2^(-13/2) + (-2*q^(21/2) - 2*q^(19/2) - 10*q^(17/2) - 20*q^(15/2) - 64*q^(13/2) - 116*q^(11/2) - 194*q^(9/2) - 194*q^(7/2) - 170*q^(5/2) - 108*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 8*q^(-3/2))*x1^(-5/2)*x2^(-13/2) + (2*q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 16*q^(21/2) + 34*q^(19/2) + 58*q^(17/2) + 103*q^(15/2) + 106*q^(13/2) + 100*q^(11/2) + 69*q^(9/2) + 40*q^(7/2) + 14*q^(5/2) + 6*q^(3/2))*x1^(-7/2)*x2^(-13/2) + (-2*q^(31/2) - 4*q^(29/2) - 8*q^(27/2) - 14*q^(25/2) - 34*q^(23/2) - 32*q^(21/2) - 36*q^(19/2) - 30*q^(17/2) - 20*q^(15/2) - 8*q^(13/2) - 4*q^(11/2))*x1^(-9/2)*x2^(-13/2) + (6*q^(33/2) + 4*q^(31/2) + 6*q^(29/2) + 6*q^(27/2) + 6*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(-11/2)*x2^(-13/2) + (-q^(21/2) - 3*q^(19/2) - 4*q^(17/2) - 11*q^(15/2) - 17*q^(13/2) - 34*q^(11/2) - 53*q^(9/2) - 87*q^(7/2) - 124*q^(5/2) - 225*q^(3/2) - 242*q^(1/2) - 276*q^(-1/2) - 261*q^(-3/2) - 230*q^(-5/2) - 158*q^(-7/2) - 102*q^(-9/2) - 51*q^(-11/2) - 26*q^(-13/2) - 7*q^(-15/2))*x1^(-1/2)*x2^(-15/2) + (4*q^(17/2) + 10*q^(15/2) + 42*q^(13/2) + 102*q^(11/2) + 212*q^(9/2) + 366*q^(7/2) + 566*q^(5/2) + 642*q^(3/2) + 658*q^(1/2) + 570*q^(-1/2) + 430*q^(-3/2) + 270*q^(-5/2) + 152*q^(-7/2) + 70*q^(-9/2) + 28*q^(-11/2) + 6*q^(-13/2))*x1^(-3/2)*x2^(-15/2) + (-2*q^(25/2) - 2*q^(23/2) - 10*q^(21/2) - 16*q^(19/2) - 54*q^(17/2) - 120*q^(15/2) - 272*q^(13/2) - 451*q^(11/2) - 675*q^(9/2) - 750*q^(7/2) - 737*q^(5/2) - 602*q^(3/2) - 435*q^(1/2) - 261*q^(-1/2) - 141*q^(-3/2) - 61*q^(-5/2) - 23*q^(-7/2) - 5*q^(-9/2))*x1^(-5/2)*x2^(-15/2) + (2*q^(33/2) + 2*q^(31/2) + 4*q^(29/2) + 14*q^(27/2) + 22*q^(25/2) + 48*q^(23/2) + 98*q^(21/2) + 190*q^(19/2) + 304*q^(17/2) + 454*q^(15/2) + 512*q^(13/2) + 516*q^(11/2) + 430*q^(9/2) + 316*q^(7/2) + 194*q^(5/2) + 106*q^(3/2) + 46*q^(1/2) + 18*q^(-1/2) + 4*q^(-3/2))*x1^(-7/2)*x2^(-15/2) + (-2*q^(39/2) - 2*q^(37/2) - 6*q^(35/2) - 8*q^(33/2) - 25*q^(31/2) - 43*q^(29/2) - 77*q^(27/2) - 119*q^(25/2) - 192*q^(23/2) - 216*q^(21/2) - 235*q^(19/2) - 214*q^(17/2) - 172*q^(15/2) - 112*q^(13/2) - 66*q^(11/2) - 31*q^(9/2) - 13*q^(7/2) - 3*q^(5/2))*x1^(-9/2)*x2^(-15/2) + (2*q^(43/2) + 4*q^(41/2) + 8*q^(39/2) + 14*q^(37/2) + 24*q^(35/2) + 50*q^(33/2) + 54*q^(31/2) + 64*q^(29/2) + 66*q^(27/2) + 62*q^(25/2) + 44*q^(23/2) + 30*q^(21/2) + 16*q^(19/2) + 8*q^(17/2) + 2*q^(15/2))*x1^(-11/2)*x2^(-15/2) + (-7*q^(45/2) - 5*q^(43/2) - 8*q^(41/2) - 9*q^(39/2) - 11*q^(37/2) - 9*q^(35/2) - 7*q^(33/2) - 4*q^(31/2) - 3*q^(29/2) - q^(27/2))*x1^(-13/2)*x2^(-15/2) + (-2*q^(27/2) - 2*q^(25/2) - 6*q^(23/2) - 10*q^(21/2) - 20*q^(19/2) - 28*q^(17/2) - 54*q^(15/2) - 76*q^(13/2) - 126*q^(11/2) - 178*q^(9/2) - 264*q^(7/2) - 352*q^(5/2) - 544*q^(3/2) - 616*q^(1/2) - 726*q^(-1/2) - 746*q^(-3/2) - 742*q^(-5/2) - 632*q^(-7/2) - 526*q^(-9/2) - 356*q^(-11/2) - 254*q^(-13/2) - 144*q^(-15/2) - 80*q^(-17/2) - 28*q^(-19/2) - 16*q^(-21/2))*x1^(-1/2)*x2^(-17/2) + (2*q^(23/2) + 7*q^(21/2) + 16*q^(19/2) + 42*q^(17/2) + 99*q^(15/2) + 218*q^(13/2) + 414*q^(11/2) + 716*q^(9/2) + 1114*q^(7/2) + 1598*q^(5/2) + 1908*q^(3/2) + 2099*q^(1/2) + 2060*q^(-1/2) + 1846*q^(-3/2) + 1468*q^(-5/2) + 1080*q^(-7/2) + 702*q^(-9/2) + 431*q^(-11/2) + 226*q^(-13/2) + 106*q^(-15/2) + 38*q^(-17/2) + 14*q^(-19/2))*x1^(-3/2)*x2^(-17/2) + (-2*q^(29/2) - 2*q^(27/2) - 10*q^(25/2) - 16*q^(23/2) - 54*q^(21/2) - 112*q^(19/2) - 286*q^(17/2) - 564*q^(15/2) - 1054*q^(13/2) - 1622*q^(11/2) - 2284*q^(9/2) - 2668*q^(7/2) - 2842*q^(5/2) - 2648*q^(3/2) - 2274*q^(1/2) - 1718*q^(-1/2) - 1216*q^(-3/2) - 750*q^(-5/2) - 442*q^(-7/2) - 216*q^(-9/2) - 100*q^(-11/2) - 32*q^(-13/2) - 12*q^(-15/2))*x1^(-5/2)*x2^(-17/2) + (2*q^(39/2) + 2*q^(37/2) + 4*q^(35/2) + 12*q^(33/2) + 20*q^(31/2) + 36*q^(29/2) + 80*q^(27/2) + 140*q^(25/2) + 278*q^(23/2) + 519*q^(21/2) + 899*q^(19/2) + 1364*q^(17/2) + 1891*q^(15/2) + 2209*q^(13/2) + 2348*q^(11/2) + 2195*q^(9/2) + 1870*q^(7/2) + 1419*q^(5/2) + 1001*q^(3/2) + 616*q^(1/2) + 359*q^(-1/2) + 178*q^(-3/2) + 80*q^(-5/2) + 26*q^(-7/2) + 10*q^(-9/2))*x1^(-7/2)*x2^(-17/2) + (-2*q^(47/2) - 2*q^(45/2) - 4*q^(43/2) - 8*q^(41/2) - 18*q^(39/2) - 28*q^(37/2) - 58*q^(35/2) - 92*q^(33/2) - 180*q^(31/2) - 298*q^(29/2) - 488*q^(27/2) - 708*q^(25/2) - 1000*q^(23/2) - 1178*q^(21/2) - 1302*q^(19/2) - 1262*q^(17/2) - 1128*q^(15/2) - 886*q^(13/2) - 652*q^(11/2) - 414*q^(9/2) - 252*q^(7/2) - 128*q^(5/2) - 60*q^(3/2) - 20*q^(1/2) - 8*q^(-1/2))*x1^(-9/2)*x2^(-17/2) + (2*q^(53/2) + 2*q^(51/2) + 6*q^(49/2) + 8*q^(47/2) + 16*q^(45/2) + 32*q^(43/2) + 62*q^(41/2) + 98*q^(39/2) + 158*q^(37/2) + 232*q^(35/2) + 347*q^(33/2) + 412*q^(31/2) + 476*q^(29/2) + 493*q^(27/2) + 480*q^(25/2) + 403*q^(23/2) + 320*q^(21/2) + 218*q^(19/2) + 145*q^(17/2) + 78*q^(15/2) + 40*q^(13/2) + 14*q^(11/2) + 6*q^(9/2))*x1^(-11/2)*x2^(-17/2) + (-2*q^(57/2) - 4*q^(55/2) - 8*q^(53/2) - 14*q^(51/2) - 24*q^(49/2) - 38*q^(47/2) - 74*q^(45/2) - 84*q^(43/2) - 106*q^(41/2) - 118*q^(39/2) - 128*q^(37/2) - 118*q^(35/2) - 104*q^(33/2) - 76*q^(31/2) - 58*q^(29/2) - 36*q^(27/2) - 20*q^(25/2) - 8*q^(23/2) - 4*q^(21/2))*x1^(-13/2)*x2^(-17/2) + (8*q^(59/2) + 6*q^(57/2) + 10*q^(55/2) + 12*q^(53/2) + 16*q^(51/2) + 16*q^(49/2) + 18*q^(47/2) + 12*q^(45/2) + 12*q^(43/2) + 8*q^(41/2) + 6*q^(39/2) + 2*q^(37/2) + 2*q^(35/2))*x1^(-15/2)*x2^(-17/2) + (-q^(35/2) - 3*q^(33/2) - 4*q^(31/2) - 7*q^(29/2) - 17*q^(27/2) - 23*q^(25/2) - 41*q^(23/2) - 62*q^(21/2) - 98*q^(19/2) - 138*q^(17/2) - 215*q^(15/2) - 294*q^(13/2) - 425*q^(11/2) - 573*q^(9/2) - 780*q^(7/2) - 1003*q^(5/2) - 1379*q^(3/2) - 1607*q^(1/2) - 1890*q^(-1/2) - 2047*q^(-3/2) - 2146*q^(-5/2) - 2059*q^(-7/2) - 1918*q^(-9/2) - 1604*q^(-11/2) - 1303*q^(-13/2) - 976*q^(-15/2) - 699*q^(-17/2) - 442*q^(-19/2) - 280*q^(-21/2) - 142*q^(-23/2) - 69*q^(-25/2) - 34*q^(-27/2) - 9*q^(-29/2))*x1^(-1/2)*x2^(-19/2) + (4*q^(29/2) + 6*q^(27/2) + 18*q^(25/2) + 38*q^(23/2) + 80*q^(21/2) + 146*q^(19/2) + 294*q^(17/2) + 528*q^(15/2) + 932*q^(13/2) + 1514*q^(11/2) + 2338*q^(9/2) + 3362*q^(7/2) + 4574*q^(5/2) + 5560*q^(3/2) + 6350*q^(1/2) + 6696*q^(-1/2) + 6604*q^(-3/2) + 6024*q^(-5/2) + 5158*q^(-7/2) + 4084*q^(-9/2) + 3060*q^(-11/2) + 2130*q^(-13/2) + 1384*q^(-15/2) + 822*q^(-17/2) + 458*q^(-19/2) + 220*q^(-21/2) + 98*q^(-23/2) + 38*q^(-25/2) + 8*q^(-27/2))*x1^(-3/2)*x2^(-19/2) + (-2*q^(33/2) - 2*q^(31/2) - 10*q^(29/2) - 19*q^(27/2) - 64*q^(25/2) - 133*q^(23/2) - 325*q^(21/2) - 657*q^(19/2) - 1335*q^(17/2) - 2336*q^(15/2) - 3838*q^(13/2) - 5587*q^(11/2) - 7551*q^(9/2) - 9060*q^(7/2) - 10089*q^(5/2) - 10252*q^(3/2) - 9730*q^(1/2) - 8498*q^(-1/2) - 6981*q^(-3/2) - 5301*q^(-5/2) - 3804*q^(-7/2) - 2524*q^(-9/2) - 1574*q^(-11/2) - 891*q^(-13/2) - 473*q^(-15/2) - 219*q^(-17/2) - 91*q^(-19/2) - 33*q^(-21/2) - 7*q^(-23/2))*x1^(-5/2)*x2^(-19/2) + (2*q^(45/2) + 2*q^(43/2) + 4*q^(41/2) + 12*q^(39/2) + 18*q^(37/2) + 34*q^(35/2) + 68*q^(33/2) + 122*q^(31/2) + 216*q^(29/2) + 426*q^(27/2) + 764*q^(25/2) + 1414*q^(23/2) + 2426*q^(21/2) + 3876*q^(19/2) + 5586*q^(17/2) + 7446*q^(15/2) + 8872*q^(13/2) + 9772*q^(11/2) + 9846*q^(9/2) + 9218*q^(7/2) + 7972*q^(5/2) + 6476*q^(3/2) + 4866*q^(1/2) + 3444*q^(-1/2) + 2264*q^(-3/2) + 1390*q^(-5/2) + 778*q^(-7/2) + 410*q^(-9/2) + 186*q^(-11/2) + 76*q^(-13/2) + 28*q^(-15/2) + 6*q^(-17/2))*x1^(-7/2)*x2^(-19/2) + (-2*q^(55/2) - 2*q^(53/2) - 4*q^(51/2) - 6*q^(49/2) - 18*q^(47/2) - 24*q^(45/2) - 44*q^(43/2) - 74*q^(41/2) - 135*q^(39/2) - 217*q^(37/2) - 389*q^(35/2) - 623*q^(33/2) - 1064*q^(31/2) - 1680*q^(29/2) - 2570*q^(27/2) - 3602*q^(25/2) - 4795*q^(23/2) - 5725*q^(21/2) - 6408*q^(19/2) - 6559*q^(17/2) - 6264*q^(15/2) - 5515*q^(13/2) - 4572*q^(11/2) - 3492*q^(9/2) - 2520*q^(7/2) - 1681*q^(5/2) - 1048*q^(3/2) - 597*q^(1/2) - 319*q^(-1/2) - 146*q^(-3/2) - 61*q^(-5/2) - 23*q^(-7/2) - 5*q^(-9/2))*x1^(-9/2)*x2^(-19/2) + (2*q^(63/2) + 2*q^(61/2) + 4*q^(59/2) + 8*q^(57/2) + 12*q^(55/2) + 24*q^(53/2) + 40*q^(51/2) + 70*q^(49/2) + 110*q^(47/2) + 188*q^(45/2) + 308*q^(43/2) + 504*q^(41/2) + 764*q^(39/2) + 1128*q^(37/2) + 1562*q^(35/2) + 2098*q^(33/2) + 2534*q^(31/2) + 2910*q^(29/2) + 3088*q^(27/2) + 3086*q^(25/2) + 2838*q^(23/2) + 2462*q^(21/2) + 1966*q^(19/2) + 1484*q^(17/2) + 1034*q^(15/2) + 676*q^(13/2) + 398*q^(11/2) + 222*q^(9/2) + 106*q^(7/2) + 46*q^(5/2) + 18*q^(3/2) + 4*q^(1/2))*x1^(-11/2)*x2^(-19/2) + (-2*q^(69/2) - 2*q^(67/2) - 6*q^(65/2) - 8*q^(63/2) - 16*q^(61/2) - 22*q^(59/2) - 49*q^(57/2) - 79*q^(55/2) - 135*q^(53/2) - 202*q^(51/2) - 306*q^(49/2) - 430*q^(47/2) - 617*q^(45/2) - 749*q^(43/2) - 895*q^(41/2) - 990*q^(39/2) - 1055*q^(37/2) - 1028*q^(35/2) - 954*q^(33/2) - 807*q^(31/2) - 656*q^(29/2) - 491*q^(27/2) - 345*q^(25/2) - 217*q^(23/2) - 130*q^(21/2) - 66*q^(19/2) - 31*q^(17/2) - 13*q^(15/2) - 3*q^(13/2))*x1^(-13/2)*x2^(-19/2) + (2*q^(73/2) + 4*q^(71/2) + 8*q^(69/2) + 14*q^(67/2) + 24*q^(65/2) + 38*q^(63/2) + 60*q^(61/2) + 106*q^(59/2) + 128*q^(57/2) + 164*q^(55/2) + 194*q^(53/2) + 222*q^(51/2) + 234*q^(49/2) + 238*q^(47/2) + 212*q^(45/2) + 188*q^(43/2) + 154*q^(41/2) + 120*q^(39/2) + 82*q^(37/2) + 56*q^(35/2) + 30*q^(33/2) + 16*q^(31/2) + 8*q^(29/2) + 2*q^(27/2))*x1^(-15/2)*x2^(-19/2) + (-9*q^(75/2) - 7*q^(73/2) - 12*q^(71/2) - 15*q^(69/2) - 21*q^(67/2) - 23*q^(65/2) - 29*q^(63/2) - 27*q^(61/2) - 26*q^(59/2) - 23*q^(57/2) - 21*q^(55/2) - 15*q^(53/2) - 13*q^(51/2) - 7*q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - q^(43/2))*x1^(-17/2)*x2^(-19/2)
|
Braid
| Braid word |
Components |
Crossings |
Strands |
[-1, 2, 3, 2, 2, -1, 2, 2, -3, 2] |
2 |
10 |
4 |
Multivariable Alexander polynomial
| ΔL |
-A1^(1/2)*A2^(3/2) + 4*A1^(1/2)*A2^(1/2) - 2*A1^(1/2)*A2^(-1/2) - 2*A1^(-1/2)*A2^(1/2) + 4*A1^(-1/2)*A2^(-1/2) - A1^(-1/2)*A2^(-3/2) |
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, -3) |
yes |
(1, -1) |
no |
(1, 3) |
yes |
(-1, 1) |
no |
HFL polytope
| Poincaré polynomial |
m^(-5)*A1^(-1)*A2^(-2) + 5*m^(-4)*A1^(-1)*A2^(-1) + m^(-4)*A2^(-2) + 6*m^(-3)*A1^(-1) + 7*m^(-3)*A2^(-1) + 2*m^(-2)*A1^(-1)*A2 + 12*m^(-2) + 2*m^(-2)*A1*A2^(-1) + 7*m^(-1)*A2 + 6*m^(-1)*A1 + A2^2 + 5*A1*A2 + m*A1*A2^2 |
| Vertex | Maslov | Rank |
(-1, -2) | -5 | 1 |
(0, -2) | -4 | 1 |
(1, -1) | -2 | 2 |
(1, 2) | 1 | 1 |
(0, 2) | 0 | 1 |
(-1, 1) | -2 | 2 |
Record
FL/HFL Links
orderOption(int) |
56 |
namestring |
L8a3{1} |
statusstring |
success |
slugstring |
L8a3_1_e0a04cd5 |
result_filestring |
details/L8a3_1_e0a04cd5.json |
complexity_scoreOption(int) |
128 |
strandsOption(int) |
null |
crossingsOption(int) |
8 |
component_countOption(int) |
2 |
girthOption(int) |
6 |
total_rankOption(int) |
56 |
wall_secondsOption(float) |
0.001639 |
backend_secondsOption(float) |
0.0 |
errorstring |
|
dimensionOption(int) |
2 |
support_sizeOption(int) |
13 |
vertex_countOption(int) |
6 |
fibered_vertex_countOption(int) |
2 |
polytope_statusstring |
computed |
alexander_support_sizeOption(int) |
6 |
alexander_vertex_countOption(int) |
4 |
alexander_relationstring |
not_computed |
fk_countint |
2 |
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L8a3_1_e0a04cd5"
} |
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L8a3_1_e0a04cd5 |