details/L11n122_1_5f0afa01.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^(-51/2)
{"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": [1, 1, 1, 1, 1, 1]}
(-q^(5/2))*x1^(1/2)*x2^(3/2) + (2*q^(5/2))*x1^(1/2)*x2^(5/2) + (-2*q^(7/2))*x1^(3/2)*x2^(5/2) + (-q^(9/2) - 3*q^(7/2) - 2*q^(3/2))*x1^(1/2)*x2^(7/2) + (2*q^(11/2) + 4*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(3/2)*x2^(7/2) + (-q^(13/2) - q^(11/2) - 2*q^(9/2))*x1^(5/2)*x2^(7/2) + (4*q^(11/2) + 4*q^(9/2) + 4*q^(7/2) + 2*q^(5/2) + 2*q^(-1/2))*x1^(1/2)*x2^(9/2) + (-4*q^(15/2) - 12*q^(13/2) - 9*q^(11/2) - 6*q^(9/2) - 2*q^(7/2) - 2*q^(5/2) - 2*q^(3/2) - 2*q^(1/2))*x1^(3/2)*x2^(9/2) + (6*q^(17/2) + 8*q^(15/2) + 8*q^(13/2) + 4*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(5/2)*x2^(9/2) + (-2*q^(19/2) - 2*q^(17/2) - 2*q^(15/2) - 2*q^(11/2))*x1^(7/2)*x2^(9/2) + (-q^(17/2) - 3*q^(15/2) - 9*q^(13/2) - 10*q^(11/2) - 9*q^(9/2) - 2*q^(7/2) - 4*q^(5/2) - 2*q^(3/2) - 2*q^(1/2) - 2*q^(-7/2))*x1^(1/2)*x2^(11/2) + (2*q^(21/2) + 12*q^(19/2) + 26*q^(17/2) + 32*q^(15/2) + 24*q^(13/2) + 14*q^(11/2) + 8*q^(9/2) + 8*q^(7/2) + 4*q^(5/2) + 2*q^(3/2) + 2*q^(1/2) + 2*q^(-1/2) + 2*q^(-3/2) + 2*q^(-5/2))*x1^(3/2)*x2^(11/2) + (-q^(25/2) - 10*q^(23/2) - 24*q^(21/2) - 38*q^(19/2) - 30*q^(17/2) - 23*q^(15/2) - 12*q^(13/2) - 10*q^(11/2) - 6*q^(9/2) - 4*q^(7/2) - 2*q^(5/2) - 4*q^(3/2) - 2*q^(1/2) - 2*q^(-1/2))*x1^(5/2)*x2^(11/2) + (2*q^(27/2) + 8*q^(25/2) + 16*q^(23/2) + 18*q^(21/2) + 14*q^(19/2) + 12*q^(17/2) + 6*q^(15/2) + 4*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(7/2)*x2^(11/2) + (-q^(29/2) - q^(27/2) - 4*q^(25/2) - 3*q^(23/2) - 3*q^(21/2) - 2*q^(19/2) - 2*q^(13/2))*x1^(9/2)*x2^(11/2) + (4*q^(21/2) + 6*q^(19/2) + 16*q^(17/2) + 20*q^(15/2) + 22*q^(13/2) + 14*q^(11/2) + 12*q^(9/2) + 8*q^(7/2) + 4*q^(5/2) + 2*q^(3/2) + 4*q^(1/2) + 2*q^(-1/2) + 2*q^(-3/2) + 2*q^(-5/2) + 2*q^(-15/2))*x1^(1/2)*x2^(13/2) + (-4*q^(27/2) - 16*q^(25/2) - 41*q^(23/2) - 68*q^(21/2) - 86*q^(19/2) - 73*q^(17/2) - 54*q^(15/2) - 32*q^(13/2) - 26*q^(11/2) - 18*q^(9/2) - 12*q^(7/2) - 10*q^(5/2) - 10*q^(3/2) - 6*q^(1/2) - 4*q^(-1/2) - 2*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2))*x1^(3/2)*x2^(13/2) + (8*q^(31/2) + 26*q^(29/2) + 70*q^(27/2) + 106*q^(25/2) + 130*q^(23/2) + 112*q^(21/2) + 84*q^(19/2) + 56*q^(17/2) + 40*q^(15/2) + 28*q^(13/2) + 22*q^(11/2) + 16*q^(9/2) + 14*q^(7/2) + 10*q^(5/2) + 6*q^(3/2) + 4*q^(1/2) + 4*q^(-1/2) + 4*q^(-3/2) + 4*q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2))*x1^(5/2)*x2^(13/2) + (-4*q^(35/2) - 20*q^(33/2) - 44*q^(31/2) - 76*q^(29/2) - 91*q^(27/2) - 94*q^(25/2) - 70*q^(23/2) - 55*q^(21/2) - 36*q^(19/2) - 26*q^(17/2) - 18*q^(15/2) - 16*q^(13/2) - 10*q^(11/2) - 8*q^(9/2) - 4*q^(7/2) - 4*q^(5/2) - 4*q^(3/2) - 4*q^(1/2) - 2*q^(-1/2) - 2*q^(-3/2))*x1^(7/2)*x2^(13/2) + (6*q^(37/2) + 12*q^(35/2) + 24*q^(33/2) + 30*q^(31/2) + 36*q^(29/2) + 32*q^(27/2) + 24*q^(25/2) + 18*q^(23/2) + 14*q^(21/2) + 8*q^(19/2) + 6*q^(17/2) + 4*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(9/2)*x2^(13/2) + (-2*q^(39/2) - 2*q^(37/2) - 4*q^(35/2) - 4*q^(33/2) - 6*q^(31/2) - 4*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2) - 2*q^(15/2))*x1^(11/2)*x2^(13/2) + (-q^(29/2) - 3*q^(27/2) - 9*q^(25/2) - 22*q^(23/2) - 30*q^(21/2) - 45*q^(19/2) - 46*q^(17/2) - 45*q^(15/2) - 30*q^(13/2) - 27*q^(11/2) - 14*q^(9/2) - 12*q^(7/2) - 10*q^(5/2) - 10*q^(3/2) - 4*q^(1/2) - 4*q^(-1/2) - 2*q^(-3/2) - 4*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2) - 2*q^(-25/2))*x1^(1/2)*x2^(15/2) + (2*q^(35/2) + 12*q^(33/2) + 36*q^(31/2) + 80*q^(29/2) + 140*q^(27/2) + 196*q^(25/2) + 218*q^(23/2) + 206*q^(21/2) + 162*q^(19/2) + 116*q^(17/2) + 80*q^(15/2) + 64*q^(13/2) + 46*q^(11/2) + 36*q^(9/2) + 32*q^(7/2) + 24*q^(5/2) + 16*q^(3/2) + 14*q^(1/2) + 12*q^(-1/2) + 12*q^(-3/2) + 8*q^(-5/2) + 6*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2) + 2*q^(-13/2) + 2*q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) + 2*q^(-21/2) + 2*q^(-23/2))*x1^(3/2)*x2^(15/2) + (-q^(41/2) - 10*q^(39/2) - 42*q^(37/2) - 105*q^(35/2) - 212*q^(33/2) - 320*q^(31/2) - 411*q^(29/2) - 410*q^(27/2) - 364*q^(25/2) - 272*q^(23/2) - 204*q^(21/2) - 142*q^(19/2) - 114*q^(17/2) - 84*q^(15/2) - 70*q^(13/2) - 52*q^(11/2) - 44*q^(9/2) - 32*q^(7/2) - 28*q^(5/2) - 22*q^(3/2) - 20*q^(1/2) - 14*q^(-1/2) - 10*q^(-3/2) - 6*q^(-5/2) - 6*q^(-7/2) - 4*q^(-9/2) - 6*q^(-11/2) - 4*q^(-13/2) - 4*q^(-15/2) - 2*q^(-17/2) - 2*q^(-19/2))*x1^(5/2)*x2^(15/2) + (2*q^(45/2) + 16*q^(43/2) + 56*q^(41/2) + 130*q^(39/2) + 236*q^(37/2) + 344*q^(35/2) + 406*q^(33/2) + 412*q^(31/2) + 360*q^(29/2) + 286*q^(27/2) + 210*q^(25/2) + 160*q^(23/2) + 116*q^(21/2) + 90*q^(19/2) + 70*q^(17/2) + 56*q^(15/2) + 42*q^(13/2) + 36*q^(11/2) + 28*q^(9/2) + 24*q^(7/2) + 18*q^(5/2) + 12*q^(3/2) + 8*q^(1/2) + 8*q^(-1/2) + 6*q^(-3/2) + 6*q^(-5/2) + 6*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2) + 2*q^(-13/2))*x1^(7/2)*x2^(15/2) + (-q^(49/2) - 10*q^(47/2) - 32*q^(45/2) - 77*q^(43/2) - 126*q^(41/2) - 186*q^(39/2) - 218*q^(37/2) - 231*q^(35/2) - 207*q^(33/2) - 181*q^(31/2) - 133*q^(29/2) - 103*q^(27/2) - 75*q^(25/2) - 58*q^(23/2) - 40*q^(21/2) - 34*q^(19/2) - 26*q^(17/2) - 22*q^(15/2) - 16*q^(13/2) - 12*q^(11/2) - 8*q^(9/2) - 6*q^(7/2) - 4*q^(5/2) - 6*q^(3/2) - 4*q^(1/2) - 4*q^(-1/2) - 2*q^(-3/2) - 2*q^(-5/2))*x1^(9/2)*x2^(15/2) + (2*q^(51/2) + 8*q^(49/2) + 20*q^(47/2) + 34*q^(45/2) + 48*q^(43/2) + 62*q^(41/2) + 66*q^(39/2) + 64*q^(37/2) + 58*q^(35/2) + 48*q^(33/2) + 34*q^(31/2) + 26*q^(29/2) + 18*q^(27/2) + 16*q^(25/2) + 10*q^(23/2) + 8*q^(21/2) + 6*q^(19/2) + 4*q^(17/2) + 2*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(11/2)*x2^(15/2) + (-q^(53/2) - q^(51/2) - 4*q^(49/2) - 5*q^(47/2) - 7*q^(45/2) - 7*q^(43/2) - 9*q^(41/2) - 6*q^(39/2) - 7*q^(37/2) - 5*q^(35/2) - 4*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - 2*q^(17/2))*x1^(13/2)*x2^(15/2) + (4*q^(35/2) + 6*q^(33/2) + 18*q^(31/2) + 32*q^(29/2) + 58*q^(27/2) + 76*q^(25/2) + 102*q^(23/2) + 104*q^(21/2) + 104*q^(19/2) + 86*q^(17/2) + 68*q^(15/2) + 50*q^(13/2) + 40*q^(11/2) + 28*q^(9/2) + 24*q^(7/2) + 18*q^(5/2) + 14*q^(3/2) + 10*q^(1/2) + 12*q^(-1/2) + 10*q^(-3/2) + 6*q^(-5/2) + 4*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2) + 4*q^(-13/2) + 2*q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) + 2*q^(-21/2) + 2*q^(-23/2) + 2*q^(-37/2))*x1^(1/2)*x2^(17/2) + (-4*q^(43/2) - 16*q^(41/2) - 45*q^(39/2) - 108*q^(37/2) - 200*q^(35/2) - 327*q^(33/2) - 454*q^(31/2) - 553*q^(29/2) - 575*q^(27/2) - 542*q^(25/2) - 443*q^(23/2) - 343*q^(21/2) - 252*q^(19/2) - 196*q^(17/2) - 152*q^(15/2) - 120*q^(13/2) - 96*q^(11/2) - 84*q^(9/2) - 64*q^(7/2) - 52*q^(5/2) - 44*q^(3/2) - 40*q^(1/2) - 30*q^(-1/2) - 22*q^(-3/2) - 18*q^(-5/2) - 16*q^(-7/2) - 14*q^(-9/2) - 14*q^(-11/2) - 10*q^(-13/2) - 8*q^(-15/2) - 6*q^(-17/2) - 4*q^(-19/2) - 2*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2) - 2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2))*x1^(3/2)*x2^(17/2) + (8*q^(49/2) + 28*q^(47/2) + 98*q^(45/2) + 220*q^(43/2) + 442*q^(41/2) + 714*q^(39/2) + 1026*q^(37/2) + 1240*q^(35/2) + 1338*q^(33/2) + 1248*q^(31/2) + 1066*q^(29/2) + 834*q^(27/2) + 638*q^(25/2) + 480*q^(23/2) + 378*q^(21/2) + 302*q^(19/2) + 244*q^(17/2) + 196*q^(15/2) + 164*q^(13/2) + 134*q^(11/2) + 112*q^(9/2) + 90*q^(7/2) + 76*q^(5/2) + 60*q^(3/2) + 50*q^(1/2) + 40*q^(-1/2) + 36*q^(-3/2) + 30*q^(-5/2) + 26*q^(-7/2) + 20*q^(-9/2) + 14*q^(-11/2) + 10*q^(-13/2) + 8*q^(-15/2) + 6*q^(-17/2) + 6*q^(-19/2) + 6*q^(-21/2) + 6*q^(-23/2) + 4*q^(-25/2) + 4*q^(-27/2) + 2*q^(-29/2) + 2*q^(-31/2))*x1^(5/2)*x2^(17/2) + (-4*q^(55/2) - 24*q^(53/2) - 84*q^(51/2) - 212*q^(49/2) - 447*q^(47/2) - 762*q^(45/2) - 1139*q^(43/2) - 1454*q^(41/2) - 1648*q^(39/2) - 1634*q^(37/2) - 1489*q^(35/2) - 1226*q^(33/2) - 978*q^(31/2) - 748*q^(29/2) - 582*q^(27/2) - 449*q^(25/2) - 366*q^(23/2) - 290*q^(21/2) - 240*q^(19/2) - 194*q^(17/2) - 162*q^(15/2) - 130*q^(13/2) - 110*q^(11/2) - 86*q^(9/2) - 72*q^(7/2) - 60*q^(5/2) - 52*q^(3/2) - 42*q^(1/2) - 36*q^(-1/2) - 26*q^(-3/2) - 20*q^(-5/2) - 14*q^(-7/2) - 12*q^(-9/2) - 10*q^(-11/2) - 10*q^(-13/2) - 8*q^(-15/2) - 8*q^(-17/2) - 6*q^(-19/2) - 4*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2))*x1^(7/2)*x2^(17/2) + (8*q^(59/2) + 30*q^(57/2) + 102*q^(55/2) + 220*q^(53/2) + 422*q^(51/2) + 662*q^(49/2) + 926*q^(47/2) + 1114*q^(45/2) + 1226*q^(43/2) + 1200*q^(41/2) + 1094*q^(39/2) + 920*q^(37/2) + 744*q^(35/2) + 580*q^(33/2) + 452*q^(31/2) + 348*q^(29/2) + 278*q^(27/2) + 222*q^(25/2) + 178*q^(23/2) + 144*q^(21/2) + 120*q^(19/2) + 94*q^(17/2) + 78*q^(15/2) + 64*q^(13/2) + 54*q^(11/2) + 44*q^(9/2) + 38*q^(7/2) + 28*q^(5/2) + 20*q^(3/2) + 16*q^(1/2) + 12*q^(-1/2) + 10*q^(-3/2) + 10*q^(-5/2) + 8*q^(-7/2) + 8*q^(-9/2) + 6*q^(-11/2) + 4*q^(-13/2) + 2*q^(-15/2) + 2*q^(-17/2))*x1^(9/2)*x2^(17/2) + (-4*q^(63/2) - 20*q^(61/2) - 52*q^(59/2) - 116*q^(57/2) - 198*q^(55/2) - 308*q^(53/2) - 405*q^(51/2) - 492*q^(49/2) - 526*q^(47/2) - 537*q^(45/2) - 490*q^(43/2) - 429*q^(41/2) - 348*q^(39/2) - 288*q^(37/2) - 215*q^(35/2) - 170*q^(33/2) - 128*q^(31/2) - 106*q^(29/2) - 80*q^(27/2) - 64*q^(25/2) - 50*q^(23/2) - 44*q^(21/2) - 34*q^(19/2) - 30*q^(17/2) - 22*q^(15/2) - 18*q^(13/2) - 12*q^(11/2) - 10*q^(9/2) - 6*q^(7/2) - 6*q^(5/2) - 6*q^(3/2) - 6*q^(1/2) - 4*q^(-1/2) - 4*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2))*x1^(11/2)*x2^(17/2) + (6*q^(65/2) + 12*q^(63/2) + 28*q^(61/2) + 46*q^(59/2) + 72*q^(57/2) + 94*q^(55/2) + 116*q^(53/2) + 124*q^(51/2) + 130*q^(49/2) + 124*q^(47/2) + 110*q^(45/2) + 90*q^(43/2) + 76*q^(41/2) + 60*q^(39/2) + 44*q^(37/2) + 32*q^(35/2) + 24*q^(33/2) + 20*q^(31/2) + 18*q^(29/2) + 12*q^(27/2) + 10*q^(25/2) + 8*q^(23/2) + 6*q^(21/2) + 4*q^(19/2) + 2*q^(17/2) + 2*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(13/2)*x2^(17/2) + (-2*q^(67/2) - 2*q^(65/2) - 4*q^(63/2) - 6*q^(61/2) - 10*q^(59/2) - 10*q^(57/2) - 14*q^(55/2) - 12*q^(53/2) - 14*q^(51/2) - 12*q^(49/2) - 10*q^(47/2) - 6*q^(45/2) - 8*q^(43/2) - 4*q^(41/2) - 4*q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 2*q^(33/2) - 2*q^(31/2) - 2*q^(19/2))*x1^(15/2)*x2^(17/2) + (-q^(45/2) - 3*q^(43/2) - 9*q^(41/2) - 22*q^(39/2) - 42*q^(37/2) - 69*q^(35/2) - 115*q^(33/2) - 156*q^(31/2) - 205*q^(29/2) - 230*q^(27/2) - 252*q^(25/2) - 232*q^(23/2) - 218*q^(21/2) - 172*q^(19/2) - 143*q^(17/2) - 106*q^(15/2) - 89*q^(13/2) - 62*q^(11/2) - 58*q^(9/2) - 44*q^(7/2) - 38*q^(5/2) - 28*q^(3/2) - 28*q^(1/2) - 20*q^(-1/2) - 18*q^(-3/2) - 12*q^(-5/2) - 12*q^(-7/2) - 12*q^(-9/2) - 12*q^(-11/2) - 6*q^(-13/2) - 6*q^(-15/2) - 4*q^(-17/2) - 4*q^(-19/2) - 2*q^(-21/2) - 4*q^(-23/2) - 2*q^(-25/2) - 2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - 2*q^(-51/2))*x1^(1/2)*x2^(19/2) + (2*q^(53/2) + 12*q^(51/2) + 36*q^(49/2) + 90*q^(47/2) + 192*q^(45/2) + 356*q^(43/2) + 584*q^(41/2) + 864*q^(39/2) + 1148*q^(37/2) + 1388*q^(35/2) + 1514*q^(33/2) + 1508*q^(31/2) + 1374*q^(29/2) + 1168*q^(27/2) + 930*q^(25/2) + 730*q^(23/2) + 568*q^(21/2) + 454*q^(19/2) + 362*q^(17/2) + 300*q^(15/2) + 254*q^(13/2) + 214*q^(11/2) + 172*q^(9/2) + 144*q^(7/2) + 124*q^(5/2) + 108*q^(3/2) + 86*q^(1/2) + 72*q^(-1/2) + 62*q^(-3/2) + 54*q^(-5/2) + 48*q^(-7/2) + 38*q^(-9/2) + 28*q^(-11/2) + 24*q^(-13/2) + 20*q^(-15/2) + 18*q^(-17/2) + 16*q^(-19/2) + 16*q^(-21/2) + 12*q^(-23/2) + 10*q^(-25/2) + 8*q^(-27/2) + 6*q^(-29/2) + 4*q^(-31/2) + 2*q^(-33/2) + 2*q^(-35/2) + 2*q^(-37/2) + 2*q^(-39/2) + 2*q^(-41/2) + 2*q^(-43/2) + 2*q^(-45/2) + 2*q^(-47/2) + 2*q^(-49/2))*x1^(3/2)*x2^(19/2) + (-q^(61/2) - 10*q^(59/2) - 42*q^(57/2) - 125*q^(55/2) - 298*q^(53/2) - 621*q^(51/2) - 1107*q^(49/2) - 1786*q^(47/2) - 2544*q^(45/2) - 3309*q^(43/2) - 3845*q^(41/2) - 4112*q^(39/2) - 3958*q^(37/2) - 3566*q^(35/2) - 2963*q^(33/2) - 2399*q^(31/2) - 1863*q^(29/2) - 1486*q^(27/2) - 1179*q^(25/2) - 980*q^(23/2) - 794*q^(21/2) - 668*q^(19/2) - 556*q^(17/2) - 478*q^(15/2) - 392*q^(13/2) - 334*q^(11/2) - 276*q^(9/2) - 242*q^(7/2) - 200*q^(5/2) - 174*q^(3/2) - 142*q^(1/2) - 124*q^(-1/2) - 100*q^(-3/2) - 86*q^(-5/2) - 68*q^(-7/2) - 60*q^(-9/2) - 50*q^(-11/2) - 46*q^(-13/2) - 38*q^(-15/2) - 34*q^(-17/2) - 26*q^(-19/2) - 20*q^(-21/2) - 14*q^(-23/2) - 12*q^(-25/2) - 8*q^(-27/2) - 8*q^(-29/2) - 6*q^(-31/2) - 8*q^(-33/2) - 6*q^(-35/2) - 6*q^(-37/2) - 4*q^(-39/2) - 4*q^(-41/2) - 2*q^(-43/2) - 2*q^(-45/2))*x1^(5/2)*x2^(19/2) + (2*q^(67/2) + 16*q^(65/2) + 66*q^(63/2) + 194*q^(61/2) + 466*q^(59/2) + 956*q^(57/2) + 1708*q^(55/2) + 2716*q^(53/2) + 3870*q^(51/2) + 4978*q^(49/2) + 5796*q^(47/2) + 6180*q^(45/2) + 6036*q^(43/2) + 5486*q^(41/2) + 4682*q^(39/2) + 3844*q^(37/2) + 3062*q^(35/2) + 2444*q^(33/2) + 1950*q^(31/2) + 1586*q^(29/2) + 1302*q^(27/2) + 1086*q^(25/2) + 898*q^(23/2) + 760*q^(21/2) + 638*q^(19/2) + 538*q^(17/2) + 452*q^(15/2) + 384*q^(13/2) + 322*q^(11/2) + 276*q^(9/2) + 232*q^(7/2) + 194*q^(5/2) + 160*q^(3/2) + 136*q^(1/2) + 112*q^(-1/2) + 98*q^(-3/2) + 84*q^(-5/2) + 72*q^(-7/2) + 60*q^(-9/2) + 50*q^(-11/2) + 38*q^(-13/2) + 30*q^(-15/2) + 22*q^(-17/2) + 18*q^(-19/2) + 16*q^(-21/2) + 14*q^(-23/2) + 12*q^(-25/2) + 12*q^(-27/2) + 10*q^(-29/2) + 8*q^(-31/2) + 6*q^(-33/2) + 4*q^(-35/2) + 2*q^(-37/2) + 2*q^(-39/2))*x1^(7/2)*x2^(19/2) + (-q^(73/2) - 10*q^(71/2) - 50*q^(69/2) - 152*q^(67/2) - 381*q^(65/2) - 786*q^(63/2) - 1438*q^(61/2) - 2294*q^(59/2) - 3327*q^(57/2) - 4320*q^(55/2) - 5174*q^(53/2) - 5637*q^(51/2) - 5735*q^(49/2) - 5389*q^(47/2) - 4827*q^(45/2) - 4077*q^(43/2) - 3373*q^(41/2) - 2698*q^(39/2) - 2177*q^(37/2) - 1739*q^(35/2) - 1423*q^(33/2) - 1152*q^(31/2) - 966*q^(29/2) - 796*q^(27/2) - 672*q^(25/2) - 558*q^(23/2) - 476*q^(21/2) - 392*q^(19/2) - 338*q^(17/2) - 278*q^(15/2) - 236*q^(13/2) - 194*q^(11/2) - 166*q^(9/2) - 134*q^(7/2) - 118*q^(5/2) - 100*q^(3/2) - 86*q^(1/2) - 70*q^(-1/2) - 58*q^(-3/2) - 44*q^(-5/2) - 36*q^(-7/2) - 26*q^(-9/2) - 22*q^(-11/2) - 18*q^(-13/2) - 18*q^(-15/2) - 14*q^(-17/2) - 14*q^(-19/2) - 10*q^(-21/2) - 10*q^(-23/2) - 6*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2))*x1^(9/2)*x2^(19/2) + (2*q^(77/2) + 16*q^(75/2) + 60*q^(73/2) + 162*q^(71/2) + 358*q^(69/2) + 670*q^(67/2) + 1110*q^(65/2) + 1652*q^(63/2) + 2224*q^(61/2) + 2754*q^(59/2) + 3148*q^(57/2) + 3352*q^(55/2) + 3330*q^(53/2) + 3136*q^(51/2) + 2798*q^(49/2) + 2408*q^(47/2) + 1988*q^(45/2) + 1620*q^(43/2) + 1302*q^(41/2) + 1052*q^(39/2) + 838*q^(37/2) + 686*q^(35/2) + 560*q^(33/2) + 468*q^(31/2) + 384*q^(29/2) + 322*q^(27/2) + 266*q^(25/2) + 224*q^(23/2) + 184*q^(21/2) + 154*q^(19/2) + 126*q^(17/2) + 108*q^(15/2) + 90*q^(13/2) + 78*q^(11/2) + 64*q^(9/2) + 54*q^(7/2) + 42*q^(5/2) + 32*q^(3/2) + 24*q^(1/2) + 20*q^(-1/2) + 16*q^(-3/2) + 14*q^(-5/2) + 12*q^(-7/2) + 12*q^(-9/2) + 10*q^(-11/2) + 8*q^(-13/2) + 6*q^(-15/2) + 4*q^(-17/2) + 2*q^(-19/2) + 2*q^(-21/2))*x1^(11/2)*x2^(19/2) + (-q^(81/2) - 10*q^(79/2) - 32*q^(77/2) - 85*q^(75/2) - 166*q^(73/2) - 297*q^(71/2) - 458*q^(69/2) - 658*q^(67/2) - 843*q^(65/2) - 1029*q^(63/2) - 1147*q^(61/2) - 1223*q^(59/2) - 1204*q^(57/2) - 1150*q^(55/2) - 1032*q^(53/2) - 908*q^(51/2) - 750*q^(49/2) - 616*q^(47/2) - 494*q^(45/2) - 407*q^(43/2) - 315*q^(41/2) - 255*q^(39/2) - 202*q^(37/2) - 170*q^(35/2) - 138*q^(33/2) - 114*q^(31/2) - 88*q^(29/2) - 76*q^(27/2) - 62*q^(25/2) - 54*q^(23/2) - 44*q^(21/2) - 38*q^(19/2) - 30*q^(17/2) - 24*q^(15/2) - 18*q^(13/2) - 14*q^(11/2) - 10*q^(9/2) - 8*q^(7/2) - 6*q^(5/2) - 8*q^(3/2) - 6*q^(1/2) - 6*q^(-1/2) - 4*q^(-3/2) - 4*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2))*x1^(13/2)*x2^(19/2) + (2*q^(83/2) + 8*q^(81/2) + 20*q^(79/2) + 38*q^(77/2) + 64*q^(75/2) + 98*q^(73/2) + 136*q^(71/2) + 174*q^(69/2) + 208*q^(67/2) + 236*q^(65/2) + 250*q^(63/2) + 250*q^(61/2) + 236*q^(59/2) + 220*q^(57/2) + 192*q^(55/2) + 164*q^(53/2) + 130*q^(51/2) + 104*q^(49/2) + 86*q^(47/2) + 70*q^(45/2) + 50*q^(43/2) + 40*q^(41/2) + 30*q^(39/2) + 26*q^(37/2) + 22*q^(35/2) + 20*q^(33/2) + 14*q^(31/2) + 12*q^(29/2) + 10*q^(27/2) + 8*q^(25/2) + 6*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + 2*q^(17/2) + 2*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(15/2)*x2^(19/2) + (-q^(85/2) - q^(83/2) - 4*q^(81/2) - 5*q^(79/2) - 9*q^(77/2) - 11*q^(75/2) - 15*q^(73/2) - 17*q^(71/2) - 22*q^(69/2) - 21*q^(67/2) - 23*q^(65/2) - 21*q^(63/2) - 21*q^(61/2) - 17*q^(59/2) - 16*q^(57/2) - 11*q^(55/2) - 9*q^(53/2) - 6*q^(51/2) - 6*q^(49/2) - 4*q^(47/2) - 4*q^(45/2) - 2*q^(43/2) - 2*q^(41/2) - 2*q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 2*q^(21/2))*x1^(17/2)*x2^(19/2)
(1/2, 3/2) x1^(-1/2)x2^(-3/2) q^(-51/2)
(-q^(5/2))*x1^(-1/2)*x2^(-3/2) + (2*q^(5/2))*x1^(-1/2)*x2^(-5/2) + (-2*q^(7/2))*x1^(-3/2)*x2^(-5/2) + (-q^(9/2) - 3*q^(7/2) - 2*q^(3/2))*x1^(-1/2)*x2^(-7/2) + (2*q^(11/2) + 4*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(-3/2)*x2^(-7/2) + (-q^(13/2) - q^(11/2) - 2*q^(9/2))*x1^(-5/2)*x2^(-7/2) + (4*q^(11/2) + 4*q^(9/2) + 4*q^(7/2) + 2*q^(5/2) + 2*q^(-1/2))*x1^(-1/2)*x2^(-9/2) + (-4*q^(15/2) - 12*q^(13/2) - 9*q^(11/2) - 6*q^(9/2) - 2*q^(7/2) - 2*q^(5/2) - 2*q^(3/2) - 2*q^(1/2))*x1^(-3/2)*x2^(-9/2) + (6*q^(17/2) + 8*q^(15/2) + 8*q^(13/2) + 4*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(-5/2)*x2^(-9/2) + (-2*q^(19/2) - 2*q^(17/2) - 2*q^(15/2) - 2*q^(11/2))*x1^(-7/2)*x2^(-9/2) + (-q^(17/2) - 3*q^(15/2) - 9*q^(13/2) - 10*q^(11/2) - 9*q^(9/2) - 2*q^(7/2) - 4*q^(5/2) - 2*q^(3/2) - 2*q^(1/2) - 2*q^(-7/2))*x1^(-1/2)*x2^(-11/2) + (2*q^(21/2) + 12*q^(19/2) + 26*q^(17/2) + 32*q^(15/2) + 24*q^(13/2) + 14*q^(11/2) + 8*q^(9/2) + 8*q^(7/2) + 4*q^(5/2) + 2*q^(3/2) + 2*q^(1/2) + 2*q^(-1/2) + 2*q^(-3/2) + 2*q^(-5/2))*x1^(-3/2)*x2^(-11/2) + (-q^(25/2) - 10*q^(23/2) - 24*q^(21/2) - 38*q^(19/2) - 30*q^(17/2) - 23*q^(15/2) - 12*q^(13/2) - 10*q^(11/2) - 6*q^(9/2) - 4*q^(7/2) - 2*q^(5/2) - 4*q^(3/2) - 2*q^(1/2) - 2*q^(-1/2))*x1^(-5/2)*x2^(-11/2) + (2*q^(27/2) + 8*q^(25/2) + 16*q^(23/2) + 18*q^(21/2) + 14*q^(19/2) + 12*q^(17/2) + 6*q^(15/2) + 4*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(-7/2)*x2^(-11/2) + (-q^(29/2) - q^(27/2) - 4*q^(25/2) - 3*q^(23/2) - 3*q^(21/2) - 2*q^(19/2) - 2*q^(13/2))*x1^(-9/2)*x2^(-11/2) + (4*q^(21/2) + 6*q^(19/2) + 16*q^(17/2) + 20*q^(15/2) + 22*q^(13/2) + 14*q^(11/2) + 12*q^(9/2) + 8*q^(7/2) + 4*q^(5/2) + 2*q^(3/2) + 4*q^(1/2) + 2*q^(-1/2) + 2*q^(-3/2) + 2*q^(-5/2) + 2*q^(-15/2))*x1^(-1/2)*x2^(-13/2) + (-4*q^(27/2) - 16*q^(25/2) - 41*q^(23/2) - 68*q^(21/2) - 86*q^(19/2) - 73*q^(17/2) - 54*q^(15/2) - 32*q^(13/2) - 26*q^(11/2) - 18*q^(9/2) - 12*q^(7/2) - 10*q^(5/2) - 10*q^(3/2) - 6*q^(1/2) - 4*q^(-1/2) - 2*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2))*x1^(-3/2)*x2^(-13/2) + (8*q^(31/2) + 26*q^(29/2) + 70*q^(27/2) + 106*q^(25/2) + 130*q^(23/2) + 112*q^(21/2) + 84*q^(19/2) + 56*q^(17/2) + 40*q^(15/2) + 28*q^(13/2) + 22*q^(11/2) + 16*q^(9/2) + 14*q^(7/2) + 10*q^(5/2) + 6*q^(3/2) + 4*q^(1/2) + 4*q^(-1/2) + 4*q^(-3/2) + 4*q^(-5/2) + 2*q^(-7/2) + 2*q^(-9/2))*x1^(-5/2)*x2^(-13/2) + (-4*q^(35/2) - 20*q^(33/2) - 44*q^(31/2) - 76*q^(29/2) - 91*q^(27/2) - 94*q^(25/2) - 70*q^(23/2) - 55*q^(21/2) - 36*q^(19/2) - 26*q^(17/2) - 18*q^(15/2) - 16*q^(13/2) - 10*q^(11/2) - 8*q^(9/2) - 4*q^(7/2) - 4*q^(5/2) - 4*q^(3/2) - 4*q^(1/2) - 2*q^(-1/2) - 2*q^(-3/2))*x1^(-7/2)*x2^(-13/2) + (6*q^(37/2) + 12*q^(35/2) + 24*q^(33/2) + 30*q^(31/2) + 36*q^(29/2) + 32*q^(27/2) + 24*q^(25/2) + 18*q^(23/2) + 14*q^(21/2) + 8*q^(19/2) + 6*q^(17/2) + 4*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(-9/2)*x2^(-13/2) + (-2*q^(39/2) - 2*q^(37/2) - 4*q^(35/2) - 4*q^(33/2) - 6*q^(31/2) - 4*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2) - 2*q^(15/2))*x1^(-11/2)*x2^(-13/2) + (-q^(29/2) - 3*q^(27/2) - 9*q^(25/2) - 22*q^(23/2) - 30*q^(21/2) - 45*q^(19/2) - 46*q^(17/2) - 45*q^(15/2) - 30*q^(13/2) - 27*q^(11/2) - 14*q^(9/2) - 12*q^(7/2) - 10*q^(5/2) - 10*q^(3/2) - 4*q^(1/2) - 4*q^(-1/2) - 2*q^(-3/2) - 4*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2) - 2*q^(-25/2))*x1^(-1/2)*x2^(-15/2) + (2*q^(35/2) + 12*q^(33/2) + 36*q^(31/2) + 80*q^(29/2) + 140*q^(27/2) + 196*q^(25/2) + 218*q^(23/2) + 206*q^(21/2) + 162*q^(19/2) + 116*q^(17/2) + 80*q^(15/2) + 64*q^(13/2) + 46*q^(11/2) + 36*q^(9/2) + 32*q^(7/2) + 24*q^(5/2) + 16*q^(3/2) + 14*q^(1/2) + 12*q^(-1/2) + 12*q^(-3/2) + 8*q^(-5/2) + 6*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2) + 2*q^(-13/2) + 2*q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) + 2*q^(-21/2) + 2*q^(-23/2))*x1^(-3/2)*x2^(-15/2) + (-q^(41/2) - 10*q^(39/2) - 42*q^(37/2) - 105*q^(35/2) - 212*q^(33/2) - 320*q^(31/2) - 411*q^(29/2) - 410*q^(27/2) - 364*q^(25/2) - 272*q^(23/2) - 204*q^(21/2) - 142*q^(19/2) - 114*q^(17/2) - 84*q^(15/2) - 70*q^(13/2) - 52*q^(11/2) - 44*q^(9/2) - 32*q^(7/2) - 28*q^(5/2) - 22*q^(3/2) - 20*q^(1/2) - 14*q^(-1/2) - 10*q^(-3/2) - 6*q^(-5/2) - 6*q^(-7/2) - 4*q^(-9/2) - 6*q^(-11/2) - 4*q^(-13/2) - 4*q^(-15/2) - 2*q^(-17/2) - 2*q^(-19/2))*x1^(-5/2)*x2^(-15/2) + (2*q^(45/2) + 16*q^(43/2) + 56*q^(41/2) + 130*q^(39/2) + 236*q^(37/2) + 344*q^(35/2) + 406*q^(33/2) + 412*q^(31/2) + 360*q^(29/2) + 286*q^(27/2) + 210*q^(25/2) + 160*q^(23/2) + 116*q^(21/2) + 90*q^(19/2) + 70*q^(17/2) + 56*q^(15/2) + 42*q^(13/2) + 36*q^(11/2) + 28*q^(9/2) + 24*q^(7/2) + 18*q^(5/2) + 12*q^(3/2) + 8*q^(1/2) + 8*q^(-1/2) + 6*q^(-3/2) + 6*q^(-5/2) + 6*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2) + 2*q^(-13/2))*x1^(-7/2)*x2^(-15/2) + (-q^(49/2) - 10*q^(47/2) - 32*q^(45/2) - 77*q^(43/2) - 126*q^(41/2) - 186*q^(39/2) - 218*q^(37/2) - 231*q^(35/2) - 207*q^(33/2) - 181*q^(31/2) - 133*q^(29/2) - 103*q^(27/2) - 75*q^(25/2) - 58*q^(23/2) - 40*q^(21/2) - 34*q^(19/2) - 26*q^(17/2) - 22*q^(15/2) - 16*q^(13/2) - 12*q^(11/2) - 8*q^(9/2) - 6*q^(7/2) - 4*q^(5/2) - 6*q^(3/2) - 4*q^(1/2) - 4*q^(-1/2) - 2*q^(-3/2) - 2*q^(-5/2))*x1^(-9/2)*x2^(-15/2) + (2*q^(51/2) + 8*q^(49/2) + 20*q^(47/2) + 34*q^(45/2) + 48*q^(43/2) + 62*q^(41/2) + 66*q^(39/2) + 64*q^(37/2) + 58*q^(35/2) + 48*q^(33/2) + 34*q^(31/2) + 26*q^(29/2) + 18*q^(27/2) + 16*q^(25/2) + 10*q^(23/2) + 8*q^(21/2) + 6*q^(19/2) + 4*q^(17/2) + 2*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(-11/2)*x2^(-15/2) + (-q^(53/2) - q^(51/2) - 4*q^(49/2) - 5*q^(47/2) - 7*q^(45/2) - 7*q^(43/2) - 9*q^(41/2) - 6*q^(39/2) - 7*q^(37/2) - 5*q^(35/2) - 4*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2) - 2*q^(17/2))*x1^(-13/2)*x2^(-15/2) + (4*q^(35/2) + 6*q^(33/2) + 18*q^(31/2) + 32*q^(29/2) + 58*q^(27/2) + 76*q^(25/2) + 102*q^(23/2) + 104*q^(21/2) + 104*q^(19/2) + 86*q^(17/2) + 68*q^(15/2) + 50*q^(13/2) + 40*q^(11/2) + 28*q^(9/2) + 24*q^(7/2) + 18*q^(5/2) + 14*q^(3/2) + 10*q^(1/2) + 12*q^(-1/2) + 10*q^(-3/2) + 6*q^(-5/2) + 4*q^(-7/2) + 4*q^(-9/2) + 2*q^(-11/2) + 4*q^(-13/2) + 2*q^(-15/2) + 2*q^(-17/2) + 2*q^(-19/2) + 2*q^(-21/2) + 2*q^(-23/2) + 2*q^(-37/2))*x1^(-1/2)*x2^(-17/2) + (-4*q^(43/2) - 16*q^(41/2) - 45*q^(39/2) - 108*q^(37/2) - 200*q^(35/2) - 327*q^(33/2) - 454*q^(31/2) - 553*q^(29/2) - 575*q^(27/2) - 542*q^(25/2) - 443*q^(23/2) - 343*q^(21/2) - 252*q^(19/2) - 196*q^(17/2) - 152*q^(15/2) - 120*q^(13/2) - 96*q^(11/2) - 84*q^(9/2) - 64*q^(7/2) - 52*q^(5/2) - 44*q^(3/2) - 40*q^(1/2) - 30*q^(-1/2) - 22*q^(-3/2) - 18*q^(-5/2) - 16*q^(-7/2) - 14*q^(-9/2) - 14*q^(-11/2) - 10*q^(-13/2) - 8*q^(-15/2) - 6*q^(-17/2) - 4*q^(-19/2) - 2*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2) - 2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2))*x1^(-3/2)*x2^(-17/2) + (8*q^(49/2) + 28*q^(47/2) + 98*q^(45/2) + 220*q^(43/2) + 442*q^(41/2) + 714*q^(39/2) + 1026*q^(37/2) + 1240*q^(35/2) + 1338*q^(33/2) + 1248*q^(31/2) + 1066*q^(29/2) + 834*q^(27/2) + 638*q^(25/2) + 480*q^(23/2) + 378*q^(21/2) + 302*q^(19/2) + 244*q^(17/2) + 196*q^(15/2) + 164*q^(13/2) + 134*q^(11/2) + 112*q^(9/2) + 90*q^(7/2) + 76*q^(5/2) + 60*q^(3/2) + 50*q^(1/2) + 40*q^(-1/2) + 36*q^(-3/2) + 30*q^(-5/2) + 26*q^(-7/2) + 20*q^(-9/2) + 14*q^(-11/2) + 10*q^(-13/2) + 8*q^(-15/2) + 6*q^(-17/2) + 6*q^(-19/2) + 6*q^(-21/2) + 6*q^(-23/2) + 4*q^(-25/2) + 4*q^(-27/2) + 2*q^(-29/2) + 2*q^(-31/2))*x1^(-5/2)*x2^(-17/2) + (-4*q^(55/2) - 24*q^(53/2) - 84*q^(51/2) - 212*q^(49/2) - 447*q^(47/2) - 762*q^(45/2) - 1139*q^(43/2) - 1454*q^(41/2) - 1648*q^(39/2) - 1634*q^(37/2) - 1489*q^(35/2) - 1226*q^(33/2) - 978*q^(31/2) - 748*q^(29/2) - 582*q^(27/2) - 449*q^(25/2) - 366*q^(23/2) - 290*q^(21/2) - 240*q^(19/2) - 194*q^(17/2) - 162*q^(15/2) - 130*q^(13/2) - 110*q^(11/2) - 86*q^(9/2) - 72*q^(7/2) - 60*q^(5/2) - 52*q^(3/2) - 42*q^(1/2) - 36*q^(-1/2) - 26*q^(-3/2) - 20*q^(-5/2) - 14*q^(-7/2) - 12*q^(-9/2) - 10*q^(-11/2) - 10*q^(-13/2) - 8*q^(-15/2) - 8*q^(-17/2) - 6*q^(-19/2) - 4*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2))*x1^(-7/2)*x2^(-17/2) + (8*q^(59/2) + 30*q^(57/2) + 102*q^(55/2) + 220*q^(53/2) + 422*q^(51/2) + 662*q^(49/2) + 926*q^(47/2) + 1114*q^(45/2) + 1226*q^(43/2) + 1200*q^(41/2) + 1094*q^(39/2) + 920*q^(37/2) + 744*q^(35/2) + 580*q^(33/2) + 452*q^(31/2) + 348*q^(29/2) + 278*q^(27/2) + 222*q^(25/2) + 178*q^(23/2) + 144*q^(21/2) + 120*q^(19/2) + 94*q^(17/2) + 78*q^(15/2) + 64*q^(13/2) + 54*q^(11/2) + 44*q^(9/2) + 38*q^(7/2) + 28*q^(5/2) + 20*q^(3/2) + 16*q^(1/2) + 12*q^(-1/2) + 10*q^(-3/2) + 10*q^(-5/2) + 8*q^(-7/2) + 8*q^(-9/2) + 6*q^(-11/2) + 4*q^(-13/2) + 2*q^(-15/2) + 2*q^(-17/2))*x1^(-9/2)*x2^(-17/2) + (-4*q^(63/2) - 20*q^(61/2) - 52*q^(59/2) - 116*q^(57/2) - 198*q^(55/2) - 308*q^(53/2) - 405*q^(51/2) - 492*q^(49/2) - 526*q^(47/2) - 537*q^(45/2) - 490*q^(43/2) - 429*q^(41/2) - 348*q^(39/2) - 288*q^(37/2) - 215*q^(35/2) - 170*q^(33/2) - 128*q^(31/2) - 106*q^(29/2) - 80*q^(27/2) - 64*q^(25/2) - 50*q^(23/2) - 44*q^(21/2) - 34*q^(19/2) - 30*q^(17/2) - 22*q^(15/2) - 18*q^(13/2) - 12*q^(11/2) - 10*q^(9/2) - 6*q^(7/2) - 6*q^(5/2) - 6*q^(3/2) - 6*q^(1/2) - 4*q^(-1/2) - 4*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2))*x1^(-11/2)*x2^(-17/2) + (6*q^(65/2) + 12*q^(63/2) + 28*q^(61/2) + 46*q^(59/2) + 72*q^(57/2) + 94*q^(55/2) + 116*q^(53/2) + 124*q^(51/2) + 130*q^(49/2) + 124*q^(47/2) + 110*q^(45/2) + 90*q^(43/2) + 76*q^(41/2) + 60*q^(39/2) + 44*q^(37/2) + 32*q^(35/2) + 24*q^(33/2) + 20*q^(31/2) + 18*q^(29/2) + 12*q^(27/2) + 10*q^(25/2) + 8*q^(23/2) + 6*q^(21/2) + 4*q^(19/2) + 2*q^(17/2) + 2*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(-13/2)*x2^(-17/2) + (-2*q^(67/2) - 2*q^(65/2) - 4*q^(63/2) - 6*q^(61/2) - 10*q^(59/2) - 10*q^(57/2) - 14*q^(55/2) - 12*q^(53/2) - 14*q^(51/2) - 12*q^(49/2) - 10*q^(47/2) - 6*q^(45/2) - 8*q^(43/2) - 4*q^(41/2) - 4*q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 2*q^(33/2) - 2*q^(31/2) - 2*q^(19/2))*x1^(-15/2)*x2^(-17/2) + (-q^(45/2) - 3*q^(43/2) - 9*q^(41/2) - 22*q^(39/2) - 42*q^(37/2) - 69*q^(35/2) - 115*q^(33/2) - 156*q^(31/2) - 205*q^(29/2) - 230*q^(27/2) - 252*q^(25/2) - 232*q^(23/2) - 218*q^(21/2) - 172*q^(19/2) - 143*q^(17/2) - 106*q^(15/2) - 89*q^(13/2) - 62*q^(11/2) - 58*q^(9/2) - 44*q^(7/2) - 38*q^(5/2) - 28*q^(3/2) - 28*q^(1/2) - 20*q^(-1/2) - 18*q^(-3/2) - 12*q^(-5/2) - 12*q^(-7/2) - 12*q^(-9/2) - 12*q^(-11/2) - 6*q^(-13/2) - 6*q^(-15/2) - 4*q^(-17/2) - 4*q^(-19/2) - 2*q^(-21/2) - 4*q^(-23/2) - 2*q^(-25/2) - 2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2) - 2*q^(-35/2) - 2*q^(-51/2))*x1^(-1/2)*x2^(-19/2) + (2*q^(53/2) + 12*q^(51/2) + 36*q^(49/2) + 90*q^(47/2) + 192*q^(45/2) + 356*q^(43/2) + 584*q^(41/2) + 864*q^(39/2) + 1148*q^(37/2) + 1388*q^(35/2) + 1514*q^(33/2) + 1508*q^(31/2) + 1374*q^(29/2) + 1168*q^(27/2) + 930*q^(25/2) + 730*q^(23/2) + 568*q^(21/2) + 454*q^(19/2) + 362*q^(17/2) + 300*q^(15/2) + 254*q^(13/2) + 214*q^(11/2) + 172*q^(9/2) + 144*q^(7/2) + 124*q^(5/2) + 108*q^(3/2) + 86*q^(1/2) + 72*q^(-1/2) + 62*q^(-3/2) + 54*q^(-5/2) + 48*q^(-7/2) + 38*q^(-9/2) + 28*q^(-11/2) + 24*q^(-13/2) + 20*q^(-15/2) + 18*q^(-17/2) + 16*q^(-19/2) + 16*q^(-21/2) + 12*q^(-23/2) + 10*q^(-25/2) + 8*q^(-27/2) + 6*q^(-29/2) + 4*q^(-31/2) + 2*q^(-33/2) + 2*q^(-35/2) + 2*q^(-37/2) + 2*q^(-39/2) + 2*q^(-41/2) + 2*q^(-43/2) + 2*q^(-45/2) + 2*q^(-47/2) + 2*q^(-49/2))*x1^(-3/2)*x2^(-19/2) + (-q^(61/2) - 10*q^(59/2) - 42*q^(57/2) - 125*q^(55/2) - 298*q^(53/2) - 621*q^(51/2) - 1107*q^(49/2) - 1786*q^(47/2) - 2544*q^(45/2) - 3309*q^(43/2) - 3845*q^(41/2) - 4112*q^(39/2) - 3958*q^(37/2) - 3566*q^(35/2) - 2963*q^(33/2) - 2399*q^(31/2) - 1863*q^(29/2) - 1486*q^(27/2) - 1179*q^(25/2) - 980*q^(23/2) - 794*q^(21/2) - 668*q^(19/2) - 556*q^(17/2) - 478*q^(15/2) - 392*q^(13/2) - 334*q^(11/2) - 276*q^(9/2) - 242*q^(7/2) - 200*q^(5/2) - 174*q^(3/2) - 142*q^(1/2) - 124*q^(-1/2) - 100*q^(-3/2) - 86*q^(-5/2) - 68*q^(-7/2) - 60*q^(-9/2) - 50*q^(-11/2) - 46*q^(-13/2) - 38*q^(-15/2) - 34*q^(-17/2) - 26*q^(-19/2) - 20*q^(-21/2) - 14*q^(-23/2) - 12*q^(-25/2) - 8*q^(-27/2) - 8*q^(-29/2) - 6*q^(-31/2) - 8*q^(-33/2) - 6*q^(-35/2) - 6*q^(-37/2) - 4*q^(-39/2) - 4*q^(-41/2) - 2*q^(-43/2) - 2*q^(-45/2))*x1^(-5/2)*x2^(-19/2) + (2*q^(67/2) + 16*q^(65/2) + 66*q^(63/2) + 194*q^(61/2) + 466*q^(59/2) + 956*q^(57/2) + 1708*q^(55/2) + 2716*q^(53/2) + 3870*q^(51/2) + 4978*q^(49/2) + 5796*q^(47/2) + 6180*q^(45/2) + 6036*q^(43/2) + 5486*q^(41/2) + 4682*q^(39/2) + 3844*q^(37/2) + 3062*q^(35/2) + 2444*q^(33/2) + 1950*q^(31/2) + 1586*q^(29/2) + 1302*q^(27/2) + 1086*q^(25/2) + 898*q^(23/2) + 760*q^(21/2) + 638*q^(19/2) + 538*q^(17/2) + 452*q^(15/2) + 384*q^(13/2) + 322*q^(11/2) + 276*q^(9/2) + 232*q^(7/2) + 194*q^(5/2) + 160*q^(3/2) + 136*q^(1/2) + 112*q^(-1/2) + 98*q^(-3/2) + 84*q^(-5/2) + 72*q^(-7/2) + 60*q^(-9/2) + 50*q^(-11/2) + 38*q^(-13/2) + 30*q^(-15/2) + 22*q^(-17/2) + 18*q^(-19/2) + 16*q^(-21/2) + 14*q^(-23/2) + 12*q^(-25/2) + 12*q^(-27/2) + 10*q^(-29/2) + 8*q^(-31/2) + 6*q^(-33/2) + 4*q^(-35/2) + 2*q^(-37/2) + 2*q^(-39/2))*x1^(-7/2)*x2^(-19/2) + (-q^(73/2) - 10*q^(71/2) - 50*q^(69/2) - 152*q^(67/2) - 381*q^(65/2) - 786*q^(63/2) - 1438*q^(61/2) - 2294*q^(59/2) - 3327*q^(57/2) - 4320*q^(55/2) - 5174*q^(53/2) - 5637*q^(51/2) - 5735*q^(49/2) - 5389*q^(47/2) - 4827*q^(45/2) - 4077*q^(43/2) - 3373*q^(41/2) - 2698*q^(39/2) - 2177*q^(37/2) - 1739*q^(35/2) - 1423*q^(33/2) - 1152*q^(31/2) - 966*q^(29/2) - 796*q^(27/2) - 672*q^(25/2) - 558*q^(23/2) - 476*q^(21/2) - 392*q^(19/2) - 338*q^(17/2) - 278*q^(15/2) - 236*q^(13/2) - 194*q^(11/2) - 166*q^(9/2) - 134*q^(7/2) - 118*q^(5/2) - 100*q^(3/2) - 86*q^(1/2) - 70*q^(-1/2) - 58*q^(-3/2) - 44*q^(-5/2) - 36*q^(-7/2) - 26*q^(-9/2) - 22*q^(-11/2) - 18*q^(-13/2) - 18*q^(-15/2) - 14*q^(-17/2) - 14*q^(-19/2) - 10*q^(-21/2) - 10*q^(-23/2) - 6*q^(-25/2) - 4*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2))*x1^(-9/2)*x2^(-19/2) + (2*q^(77/2) + 16*q^(75/2) + 60*q^(73/2) + 162*q^(71/2) + 358*q^(69/2) + 670*q^(67/2) + 1110*q^(65/2) + 1652*q^(63/2) + 2224*q^(61/2) + 2754*q^(59/2) + 3148*q^(57/2) + 3352*q^(55/2) + 3330*q^(53/2) + 3136*q^(51/2) + 2798*q^(49/2) + 2408*q^(47/2) + 1988*q^(45/2) + 1620*q^(43/2) + 1302*q^(41/2) + 1052*q^(39/2) + 838*q^(37/2) + 686*q^(35/2) + 560*q^(33/2) + 468*q^(31/2) + 384*q^(29/2) + 322*q^(27/2) + 266*q^(25/2) + 224*q^(23/2) + 184*q^(21/2) + 154*q^(19/2) + 126*q^(17/2) + 108*q^(15/2) + 90*q^(13/2) + 78*q^(11/2) + 64*q^(9/2) + 54*q^(7/2) + 42*q^(5/2) + 32*q^(3/2) + 24*q^(1/2) + 20*q^(-1/2) + 16*q^(-3/2) + 14*q^(-5/2) + 12*q^(-7/2) + 12*q^(-9/2) + 10*q^(-11/2) + 8*q^(-13/2) + 6*q^(-15/2) + 4*q^(-17/2) + 2*q^(-19/2) + 2*q^(-21/2))*x1^(-11/2)*x2^(-19/2) + (-q^(81/2) - 10*q^(79/2) - 32*q^(77/2) - 85*q^(75/2) - 166*q^(73/2) - 297*q^(71/2) - 458*q^(69/2) - 658*q^(67/2) - 843*q^(65/2) - 1029*q^(63/2) - 1147*q^(61/2) - 1223*q^(59/2) - 1204*q^(57/2) - 1150*q^(55/2) - 1032*q^(53/2) - 908*q^(51/2) - 750*q^(49/2) - 616*q^(47/2) - 494*q^(45/2) - 407*q^(43/2) - 315*q^(41/2) - 255*q^(39/2) - 202*q^(37/2) - 170*q^(35/2) - 138*q^(33/2) - 114*q^(31/2) - 88*q^(29/2) - 76*q^(27/2) - 62*q^(25/2) - 54*q^(23/2) - 44*q^(21/2) - 38*q^(19/2) - 30*q^(17/2) - 24*q^(15/2) - 18*q^(13/2) - 14*q^(11/2) - 10*q^(9/2) - 8*q^(7/2) - 6*q^(5/2) - 8*q^(3/2) - 6*q^(1/2) - 6*q^(-1/2) - 4*q^(-3/2) - 4*q^(-5/2) - 2*q^(-7/2) - 2*q^(-9/2))*x1^(-13/2)*x2^(-19/2) + (2*q^(83/2) + 8*q^(81/2) + 20*q^(79/2) + 38*q^(77/2) + 64*q^(75/2) + 98*q^(73/2) + 136*q^(71/2) + 174*q^(69/2) + 208*q^(67/2) + 236*q^(65/2) + 250*q^(63/2) + 250*q^(61/2) + 236*q^(59/2) + 220*q^(57/2) + 192*q^(55/2) + 164*q^(53/2) + 130*q^(51/2) + 104*q^(49/2) + 86*q^(47/2) + 70*q^(45/2) + 50*q^(43/2) + 40*q^(41/2) + 30*q^(39/2) + 26*q^(37/2) + 22*q^(35/2) + 20*q^(33/2) + 14*q^(31/2) + 12*q^(29/2) + 10*q^(27/2) + 8*q^(25/2) + 6*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + 2*q^(17/2) + 2*q^(15/2) + 2*q^(13/2) + 2*q^(11/2) + 2*q^(9/2) + 2*q^(7/2) + 2*q^(5/2))*x1^(-15/2)*x2^(-19/2) + (-q^(85/2) - q^(83/2) - 4*q^(81/2) - 5*q^(79/2) - 9*q^(77/2) - 11*q^(75/2) - 15*q^(73/2) - 17*q^(71/2) - 22*q^(69/2) - 21*q^(67/2) - 23*q^(65/2) - 21*q^(63/2) - 21*q^(61/2) - 17*q^(59/2) - 16*q^(57/2) - 11*q^(55/2) - 9*q^(53/2) - 6*q^(51/2) - 6*q^(49/2) - 4*q^(47/2) - 4*q^(45/2) - 2*q^(43/2) - 2*q^(41/2) - 2*q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 2*q^(21/2))*x1^(-17/2)*x2^(-19/2)

Braid

Braid word Components Crossings Strands
[2, 1, -2, 3, -4, 3, 2, 1, 2, 3, 4, 3, 2, 2, -3] 2 15 5

Multivariable Alexander polynomial

ΔL
A1^(1/2)*A2^(3/2) + 2*A1^(1/2)*A2^(1/2) - 2*A1^(1/2)*A2^(-1/2) - 2*A1^(-1/2)*A2^(1/2) + 2*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.

Newton Polygon of Alexander-0.500.5-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-1, -3) yes
(1, -1) no
(1, 3) yes
(-1, 1) no
Dual Thurston polygon-10105h1h2

HFL polytope

Poincaré polynomial
m^(-6)*A1^(-1)*A2^(-2) + m^(-5)*A1^(-1)*A2^(-1) + m^(-5)*A2^(-2) + 2*m^(-4)*A1^(-1)*A2^(-1) + m^(-4)*A2^(-1) + 4*m^(-3)*A1^(-1) + 4*m^(-3)*A2^(-1) + m^(-3) + 2*m^(-2)*A1^(-1)*A2 + 9*m^(-2) + m^(-2)*A2 + 2*m^(-2)*A1*A2^(-1) + 4*m^(-1)*A2 + m^(-1)*A2^2 + 4*m^(-1)*A1 + m^(-1)*A1*A2 + 2*A1*A2 + A1*A2^2
VertexMaslovRank
(-1, -2)-61
(0, -2)-51
(1, -1)-22
(1, 2)01
(0, 2)-11
(-1, 1)-22
HFL polytope-101-202A1A2

Record

FL/HFL Links

orderOption(int) 1426
namestring L11n122{1}
statusstring success
slugstring L11n122_1_5f0afa01
result_filestring details/L11n122_1_5f0afa01.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 42
wall_secondsOption(float) 0.001925
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 1
detailsRowRef(FLHFLLinks)
{
  "dataset": "FLHFLLinks",
  "key": "L11n122_1_5f0afa01"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11n122_1_5f0afa01