details/L8a7_0_868bf20d.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(1/2, -3/2) (1/2, 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, 1, 1, -1, -1]}
(-81*q^(69/2) - 126*q^(67/2) - 265*q^(65/2) - 438*q^(63/2) - 732*q^(61/2) - 1068*q^(59/2) - 1573*q^(57/2) - 2074*q^(55/2) - 2673*q^(53/2) - 3262*q^(51/2) - 3881*q^(49/2) - 4364*q^(47/2) - 4813*q^(45/2) - 5026*q^(43/2) - 5109*q^(41/2) - 5002*q^(39/2) - 4738*q^(37/2) - 4298*q^(35/2) - 3789*q^(33/2) - 3194*q^(31/2) - 2597*q^(29/2) - 2028*q^(27/2) - 1521*q^(25/2) - 1078*q^(23/2) - 737*q^(21/2) - 474*q^(19/2) - 285*q^(17/2) - 164*q^(15/2) - 84*q^(13/2) - 38*q^(11/2) - 17*q^(9/2) - 6*q^(7/2) - q^(5/2))*x1^(-17/2)*x2^(19/2) + (64*q^(53/2) + 96*q^(51/2) + 196*q^(49/2) + 312*q^(47/2) + 500*q^(45/2) + 688*q^(43/2) + 944*q^(41/2) + 1112*q^(39/2) + 1336*q^(37/2) + 1456*q^(35/2) + 1552*q^(33/2) + 1512*q^(31/2) + 1460*q^(29/2) + 1280*q^(27/2) + 1112*q^(25/2) + 880*q^(23/2) + 680*q^(21/2) + 472*q^(19/2) + 328*q^(17/2) + 192*q^(15/2) + 116*q^(13/2) + 56*q^(11/2) + 28*q^(9/2) + 8*q^(7/2) + 4*q^(5/2))*x1^(-15/2)*x2^(17/2) + (32*q^(67/2) + 88*q^(65/2) + 216*q^(63/2) + 448*q^(61/2) + 872*q^(59/2) + 1560*q^(57/2) + 2688*q^(55/2) + 4392*q^(53/2) + 6584*q^(51/2) + 9468*q^(49/2) + 12940*q^(47/2) + 16896*q^(45/2) + 21052*q^(43/2) + 25116*q^(41/2) + 28584*q^(39/2) + 31356*q^(37/2) + 32964*q^(35/2) + 33316*q^(33/2) + 32296*q^(31/2) + 30148*q^(29/2) + 26960*q^(27/2) + 23220*q^(25/2) + 19156*q^(23/2) + 15152*q^(21/2) + 11452*q^(19/2) + 8292*q^(17/2) + 5692*q^(15/2) + 3728*q^(13/2) + 2296*q^(11/2) + 1328*q^(9/2) + 712*q^(7/2) + 356*q^(5/2) + 156*q^(3/2) + 60*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(-15/2)*x2^(19/2) + (-49*q^(39/2) - 70*q^(37/2) - 137*q^(35/2) - 206*q^(33/2) - 308*q^(31/2) - 380*q^(29/2) - 445*q^(27/2) - 468*q^(25/2) - 477*q^(23/2) - 432*q^(21/2) - 365*q^(19/2) - 284*q^(17/2) - 205*q^(15/2) - 132*q^(13/2) - 76*q^(11/2) - 38*q^(9/2) - 17*q^(7/2) - 6*q^(5/2) - q^(3/2))*x1^(-13/2)*x2^(15/2) + (-28*q^(51/2) - 76*q^(49/2) - 184*q^(47/2) - 376*q^(45/2) - 720*q^(43/2) - 1264*q^(41/2) - 2132*q^(39/2) - 3116*q^(37/2) - 4380*q^(35/2) - 5700*q^(33/2) - 7028*q^(31/2) - 8032*q^(29/2) - 8716*q^(27/2) - 8848*q^(25/2) - 8556*q^(23/2) - 7744*q^(21/2) - 6636*q^(19/2) - 5332*q^(17/2) - 4056*q^(15/2) - 2868*q^(13/2) - 1908*q^(11/2) - 1168*q^(9/2) - 664*q^(7/2) - 340*q^(5/2) - 156*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(-13/2)*x2^(17/2) + (-32*q^(63/2) - 64*q^(61/2) - 184*q^(59/2) - 360*q^(57/2) - 752*q^(55/2) - 1352*q^(53/2) - 2570*q^(51/2) - 4416*q^(49/2) - 7460*q^(47/2) - 11800*q^(45/2) - 18100*q^(43/2) - 26216*q^(41/2) - 36526*q^(39/2) - 47930*q^(37/2) - 60334*q^(35/2) - 72166*q^(33/2) - 82612*q^(31/2) - 89966*q^(29/2) - 93830*q^(27/2) - 93300*q^(25/2) - 88916*q^(23/2) - 80864*q^(21/2) - 70412*q^(19/2) - 58500*q^(17/2) - 46520*q^(15/2) - 35224*q^(13/2) - 25464*q^(11/2) - 17472*q^(9/2) - 11382*q^(7/2) - 6988*q^(5/2) - 4044*q^(3/2) - 2172*q^(1/2) - 1082*q^(-1/2) - 486*q^(-3/2) - 194*q^(-5/2) - 66*q^(-7/2) - 18*q^(-9/2) - 2*q^(-11/2))*x1^(-13/2)*x2^(19/2) + (36*q^(27/2) + 48*q^(25/2) + 88*q^(23/2) + 120*q^(21/2) + 156*q^(19/2) + 144*q^(17/2) + 148*q^(15/2) + 112*q^(13/2) + 84*q^(11/2) + 48*q^(9/2) + 28*q^(7/2) + 8*q^(5/2) + 4*q^(3/2))*x1^(-11/2)*x2^(13/2) + (24*q^(37/2) + 64*q^(35/2) + 152*q^(33/2) + 304*q^(31/2) + 568*q^(29/2) + 968*q^(27/2) + 1372*q^(25/2) + 1816*q^(23/2) + 2180*q^(21/2) + 2384*q^(19/2) + 2340*q^(17/2) + 2140*q^(15/2) + 1768*q^(13/2) + 1344*q^(11/2) + 916*q^(9/2) + 568*q^(7/2) + 312*q^(5/2) + 152*q^(3/2) + 60*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(-11/2)*x2^(15/2) + (28*q^(47/2) + 56*q^(45/2) + 160*q^(43/2) + 312*q^(41/2) + 648*q^(39/2) + 1232*q^(37/2) + 2272*q^(35/2) + 3768*q^(33/2) + 6024*q^(31/2) + 8848*q^(29/2) + 12300*q^(27/2) + 15624*q^(25/2) + 18741*q^(23/2) + 20816*q^(21/2) + 21752*q^(19/2) + 21054*q^(17/2) + 19240*q^(15/2) + 16318*q^(13/2) + 13057*q^(11/2) + 9664*q^(9/2) + 6740*q^(7/2) + 4312*q^(5/2) + 2597*q^(3/2) + 1398*q^(1/2) + 704*q^(-1/2) + 302*q^(-3/2) + 120*q^(-5/2) + 32*q^(-7/2) + 9*q^(-9/2))*x1^(-11/2)*x2^(17/2) + (32*q^(57/2) + 64*q^(55/2) + 160*q^(53/2) + 344*q^(51/2) + 680*q^(49/2) + 1296*q^(47/2) + 2388*q^(45/2) + 4220*q^(43/2) + 7180*q^(41/2) + 11932*q^(39/2) + 19084*q^(37/2) + 29328*q^(35/2) + 42992*q^(33/2) + 60116*q^(31/2) + 79772*q^(29/2) + 100688*q^(27/2) + 120152*q^(25/2) + 136188*q^(23/2) + 146324*q^(21/2) + 149340*q^(19/2) + 144524*q^(17/2) + 133096*q^(15/2) + 116344*q^(13/2) + 96800*q^(11/2) + 76472*q^(9/2) + 57464*q^(7/2) + 40912*q^(5/2) + 27676*q^(3/2) + 17648*q^(1/2) + 10628*q^(-1/2) + 5992*q^(-3/2) + 3156*q^(-5/2) + 1520*q^(-7/2) + 676*q^(-9/2) + 264*q^(-11/2) + 88*q^(-13/2) + 24*q^(-15/2) + 4*q^(-17/2))*x1^(-11/2)*x2^(19/2) + (-25*q^(17/2) - 30*q^(15/2) - 49*q^(13/2) - 54*q^(11/2) - 44*q^(9/2) - 30*q^(7/2) - 17*q^(5/2) - 6*q^(3/2) - q^(1/2))*x1^(-9/2)*x2^(11/2) + (-20*q^(25/2) - 52*q^(23/2) - 120*q^(21/2) - 232*q^(19/2) - 416*q^(17/2) - 532*q^(15/2) - 644*q^(13/2) - 640*q^(11/2) - 552*q^(9/2) - 404*q^(7/2) - 264*q^(5/2) - 136*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(-9/2)*x2^(13/2) + (-24*q^(33/2) - 48*q^(31/2) - 136*q^(29/2) - 264*q^(27/2) - 594*q^(25/2) - 1064*q^(23/2) - 1820*q^(21/2) - 2720*q^(19/2) - 3764*q^(17/2) - 4490*q^(15/2) - 4920*q^(13/2) - 4786*q^(11/2) - 4218*q^(9/2) - 3322*q^(7/2) - 2382*q^(5/2) - 1512*q^(3/2) - 866*q^(1/2) - 430*q^(-1/2) - 186*q^(-3/2) - 66*q^(-5/2) - 18*q^(-7/2) - 2*q^(-9/2))*x1^(-9/2)*x2^(15/2) + (-28*q^(41/2) - 56*q^(39/2) - 140*q^(37/2) - 300*q^(35/2) - 632*q^(33/2) - 1176*q^(31/2) - 2228*q^(29/2) - 3812*q^(27/2) - 6444*q^(25/2) - 9960*q^(23/2) - 14492*q^(21/2) - 19332*q^(19/2) - 24100*q^(17/2) - 27360*q^(15/2) - 28932*q^(13/2) - 28112*q^(11/2) - 25384*q^(9/2) - 21128*q^(7/2) - 16400*q^(5/2) - 11712*q^(3/2) - 7796*q^(1/2) - 4756*q^(-1/2) - 2680*q^(-3/2) - 1364*q^(-5/2) - 636*q^(-7/2) - 252*q^(-9/2) - 88*q^(-11/2) - 24*q^(-13/2) - 4*q^(-15/2))*x1^(-9/2)*x2^(17/2) + (-32*q^(49/2) - 64*q^(47/2) - 160*q^(45/2) - 320*q^(43/2) - 712*q^(41/2) - 1276*q^(39/2) - 2412*q^(37/2) - 4200*q^(35/2) - 7319*q^(33/2) - 12090*q^(31/2) - 19715*q^(29/2) - 30358*q^(27/2) - 45279*q^(25/2) - 63528*q^(23/2) - 84638*q^(21/2) - 105818*q^(19/2) - 125008*q^(17/2) - 138210*q^(15/2) - 144249*q^(13/2) - 141364*q^(11/2) - 130790*q^(9/2) - 113918*q^(7/2) - 93895*q^(5/2) - 72892*q^(3/2) - 53621*q^(1/2) - 37154*q^(-1/2) - 24341*q^(-3/2) - 14980*q^(-5/2) - 8705*q^(-7/2) - 4690*q^(-9/2) - 2371*q^(-11/2) - 1100*q^(-13/2) - 464*q^(-15/2) - 172*q^(-17/2) - 59*q^(-19/2) - 14*q^(-21/2) - 2*q^(-23/2))*x1^(-9/2)*x2^(19/2) + (16*q^(9/2) + 16*q^(7/2) + 20*q^(5/2) + 8*q^(3/2) + 4*q^(1/2))*x1^(-7/2)*x2^(9/2) + (16*q^(15/2) + 40*q^(13/2) + 88*q^(11/2) + 160*q^(9/2) + 176*q^(7/2) + 164*q^(5/2) + 108*q^(3/2) + 56*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(-7/2)*x2^(11/2) + (20*q^(21/2) + 40*q^(19/2) + 112*q^(17/2) + 248*q^(15/2) + 484*q^(13/2) + 744*q^(11/2) + 1028*q^(9/2) + 1080*q^(7/2) + 1001*q^(5/2) + 744*q^(3/2) + 484*q^(1/2) + 246*q^(-1/2) + 112*q^(-3/2) + 32*q^(-5/2) + 9*q^(-7/2))*x1^(-7/2)*x2^(13/2) + (24*q^(27/2) + 48*q^(25/2) + 120*q^(23/2) + 288*q^(21/2) + 572*q^(19/2) + 1100*q^(17/2) + 1932*q^(15/2) + 3020*q^(13/2) + 4132*q^(11/2) + 5048*q^(9/2) + 5300*q^(7/2) + 4960*q^(5/2) + 4064*q^(3/2) + 2972*q^(1/2) + 1908*q^(-1/2) + 1096*q^(-3/2) + 540*q^(-5/2) + 236*q^(-7/2) + 84*q^(-9/2) + 24*q^(-11/2) + 4*q^(-13/2))*x1^(-7/2)*x2^(15/2) + (28*q^(33/2) + 56*q^(31/2) + 140*q^(29/2) + 320*q^(27/2) + 648*q^(25/2) + 1228*q^(23/2) + 2336*q^(21/2) + 4016*q^(19/2) + 6688*q^(17/2) + 10204*q^(15/2) + 14368*q^(13/2) + 18268*q^(11/2) + 21346*q^(9/2) + 22388*q^(7/2) + 21562*q^(5/2) + 18808*q^(3/2) + 15120*q^(1/2) + 11054*q^(-1/2) + 7494*q^(-3/2) + 4592*q^(-5/2) + 2626*q^(-7/2) + 1340*q^(-9/2) + 638*q^(-11/2) + 258*q^(-13/2) + 100*q^(-15/2) + 26*q^(-17/2) + 8*q^(-19/2))*x1^(-7/2)*x2^(17/2) + (32*q^(39/2) + 64*q^(37/2) + 160*q^(35/2) + 368*q^(33/2) + 724*q^(31/2) + 1380*q^(29/2) + 2584*q^(27/2) + 4572*q^(25/2) + 7828*q^(23/2) + 13040*q^(21/2) + 20588*q^(19/2) + 30972*q^(17/2) + 43716*q^(15/2) + 57648*q^(13/2) + 70640*q^(11/2) + 80724*q^(9/2) + 85420*q^(7/2) + 84320*q^(5/2) + 77464*q^(3/2) + 66588*q^(1/2) + 53488*q^(-1/2) + 40384*q^(-3/2) + 28528*q^(-5/2) + 19000*q^(-7/2) + 11864*q^(-9/2) + 6984*q^(-11/2) + 3840*q^(-13/2) + 2000*q^(-15/2) + 952*q^(-17/2) + 428*q^(-19/2) + 176*q^(-21/2) + 64*q^(-23/2) + 20*q^(-25/2) + 4*q^(-27/2))*x1^(-7/2)*x2^(19/2) + (-9*q^(3/2) - 6*q^(1/2) - q^(-1/2))*x1^(-5/2)*x2^(7/2) + (-12*q^(7/2) - 28*q^(5/2) - 56*q^(3/2) - 40*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(-5/2)*x2^(9/2) + (-16*q^(11/2) - 32*q^(9/2) - 106*q^(7/2) - 176*q^(5/2) - 244*q^(3/2) - 202*q^(1/2) - 130*q^(-1/2) - 58*q^(-3/2) - 18*q^(-5/2) - 2*q^(-7/2))*x1^(-5/2)*x2^(11/2) + (-20*q^(15/2) - 40*q^(13/2) - 124*q^(11/2) - 256*q^(9/2) - 516*q^(7/2) - 736*q^(5/2) - 920*q^(3/2) - 832*q^(1/2) - 636*q^(-1/2) - 384*q^(-3/2) - 196*q^(-5/2) - 72*q^(-7/2) - 24*q^(-9/2) - 4*q^(-11/2))*x1^(-5/2)*x2^(13/2) + (-24*q^(19/2) - 48*q^(17/2) - 152*q^(15/2) - 292*q^(13/2) - 663*q^(11/2) - 1174*q^(9/2) - 1935*q^(7/2) - 2596*q^(5/2) - 3103*q^(3/2) - 3012*q^(1/2) - 2574*q^(-1/2) - 1872*q^(-3/2) - 1211*q^(-5/2) - 660*q^(-7/2) - 326*q^(-9/2) - 132*q^(-11/2) - 51*q^(-13/2) - 14*q^(-15/2) - 2*q^(-17/2))*x1^(-5/2)*x2^(15/2) + (-28*q^(23/2) - 56*q^(21/2) - 180*q^(19/2) - 348*q^(17/2) - 760*q^(15/2) - 1412*q^(13/2) - 2644*q^(11/2) - 4220*q^(9/2) - 6308*q^(7/2) - 8172*q^(5/2) - 9648*q^(3/2) - 9848*q^(1/2) - 9124*q^(-1/2) - 7504*q^(-3/2) - 5652*q^(-5/2) - 3792*q^(-7/2) - 2360*q^(-9/2) - 1312*q^(-11/2) - 692*q^(-13/2) - 324*q^(-15/2) - 144*q^(-17/2) - 52*q^(-19/2) - 20*q^(-21/2) - 4*q^(-23/2))*x1^(-5/2)*x2^(17/2) + (-32*q^(27/2) - 64*q^(25/2) - 208*q^(23/2) - 404*q^(21/2) - 892*q^(19/2) - 1604*q^(17/2) - 3084*q^(15/2) - 5292*q^(13/2) - 8822*q^(11/2) - 13226*q^(9/2) - 18656*q^(7/2) - 23734*q^(5/2) - 27990*q^(3/2) - 29704*q^(1/2) - 29174*q^(-1/2) - 26202*q^(-3/2) - 21918*q^(-5/2) - 16846*q^(-7/2) - 12172*q^(-9/2) - 8130*q^(-11/2) - 5172*q^(-13/2) - 3066*q^(-15/2) - 1752*q^(-17/2) - 922*q^(-19/2) - 478*q^(-21/2) - 222*q^(-23/2) - 100*q^(-25/2) - 42*q^(-27/2) - 14*q^(-29/2) - 2*q^(-31/2))*x1^(-5/2)*x2^(19/2) + (4*q^(-1/2))*x1^(-3/2)*x2^(5/2) + (8*q^(1/2) + 16*q^(-1/2) + 4*q^(-3/2))*x1^(-3/2)*x2^(7/2) + (12*q^(3/2) + 32*q^(1/2) + 52*q^(-1/2) + 24*q^(-3/2) + 9*q^(-5/2))*x1^(-3/2)*x2^(9/2) + (16*q^(5/2) + 48*q^(3/2) + 100*q^(1/2) + 144*q^(-1/2) + 100*q^(-3/2) + 56*q^(-5/2) + 20*q^(-7/2) + 4*q^(-9/2))*x1^(-3/2)*x2^(11/2) + (20*q^(7/2) + 64*q^(5/2) + 148*q^(3/2) + 264*q^(1/2) + 372*q^(-1/2) + 316*q^(-3/2) + 238*q^(-5/2) + 132*q^(-7/2) + 60*q^(-9/2) + 18*q^(-11/2) + 8*q^(-13/2))*x1^(-3/2)*x2^(13/2) + (24*q^(9/2) + 80*q^(7/2) + 196*q^(5/2) + 384*q^(3/2) + 644*q^(1/2) + 884*q^(-1/2) + 876*q^(-3/2) + 768*q^(-5/2) + 560*q^(-7/2) + 348*q^(-9/2) + 180*q^(-11/2) + 88*q^(-13/2) + 36*q^(-15/2) + 16*q^(-17/2) + 4*q^(-19/2))*x1^(-3/2)*x2^(15/2) + (28*q^(11/2) + 96*q^(9/2) + 244*q^(7/2) + 504*q^(5/2) + 916*q^(3/2) + 1452*q^(1/2) + 2000*q^(-1/2) + 2164*q^(-3/2) + 2131*q^(-5/2) + 1820*q^(-7/2) + 1392*q^(-9/2) + 920*q^(-11/2) + 576*q^(-13/2) + 318*q^(-15/2) + 181*q^(-17/2) + 88*q^(-19/2) + 42*q^(-21/2) + 16*q^(-23/2) + 8*q^(-25/2))*x1^(-3/2)*x2^(17/2) + (32*q^(13/2) + 112*q^(11/2) + 292*q^(9/2) + 624*q^(7/2) + 1188*q^(5/2) + 2020*q^(3/2) + 3124*q^(1/2) + 4284*q^(-1/2) + 4956*q^(-3/2) + 5264*q^(-5/2) + 5036*q^(-7/2) + 4384*q^(-9/2) + 3456*q^(-11/2) + 2532*q^(-13/2) + 1704*q^(-15/2) + 1120*q^(-17/2) + 696*q^(-19/2) + 416*q^(-21/2) + 236*q^(-23/2) + 136*q^(-25/2) + 64*q^(-27/2) + 32*q^(-29/2) + 16*q^(-31/2) + 4*q^(-33/2))*x1^(-3/2)*x2^(19/2) + (-q^(-3/2))*x1^(-1/2)*x2^(3/2) + (-4*q^(-3/2))*x1^(-1/2)*x2^(5/2) + (-10*q^(-3/2) - 2*q^(-5/2))*x1^(-1/2)*x2^(7/2) + (-20*q^(-3/2) - 8*q^(-5/2) - 4*q^(-7/2))*x1^(-1/2)*x2^(9/2) + (-35*q^(-3/2) - 20*q^(-5/2) - 17*q^(-7/2) - 6*q^(-9/2) - 2*q^(-11/2))*x1^(-1/2)*x2^(11/2) + (-56*q^(-3/2) - 40*q^(-5/2) - 44*q^(-7/2) - 28*q^(-9/2) - 16*q^(-11/2) - 4*q^(-13/2) - 4*q^(-15/2))*x1^(-1/2)*x2^(13/2) + (-84*q^(-3/2) - 70*q^(-5/2) - 90*q^(-7/2) - 76*q^(-9/2) - 62*q^(-11/2) - 28*q^(-13/2) - 22*q^(-15/2) - 8*q^(-17/2) - 6*q^(-19/2) - 2*q^(-21/2))*x1^(-1/2)*x2^(15/2) + (-120*q^(-3/2) - 112*q^(-5/2) - 160*q^(-7/2) - 160*q^(-9/2) - 160*q^(-11/2) - 108*q^(-13/2) - 84*q^(-15/2) - 44*q^(-17/2) - 36*q^(-19/2) - 20*q^(-21/2) - 12*q^(-23/2) - 4*q^(-25/2) - 4*q^(-27/2))*x1^(-1/2)*x2^(17/2) + (-165*q^(-3/2) - 168*q^(-5/2) - 259*q^(-7/2) - 290*q^(-9/2) - 330*q^(-11/2) - 280*q^(-13/2) - 255*q^(-15/2) - 162*q^(-17/2) - 135*q^(-19/2) - 90*q^(-21/2) - 68*q^(-23/2) - 38*q^(-25/2) - 34*q^(-27/2) - 14*q^(-29/2) - 8*q^(-31/2) - 6*q^(-33/2) - 2*q^(-35/2))*x1^(-1/2)*x2^(19/2)
(1/2, -3/2) (1/2, 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, 1, 1, -1, -1]}
(-81*q^(69/2) - 126*q^(67/2) - 265*q^(65/2) - 438*q^(63/2) - 732*q^(61/2) - 1068*q^(59/2) - 1573*q^(57/2) - 2074*q^(55/2) - 2673*q^(53/2) - 3262*q^(51/2) - 3881*q^(49/2) - 4364*q^(47/2) - 4813*q^(45/2) - 5026*q^(43/2) - 5109*q^(41/2) - 5002*q^(39/2) - 4738*q^(37/2) - 4298*q^(35/2) - 3789*q^(33/2) - 3194*q^(31/2) - 2597*q^(29/2) - 2028*q^(27/2) - 1521*q^(25/2) - 1078*q^(23/2) - 737*q^(21/2) - 474*q^(19/2) - 285*q^(17/2) - 164*q^(15/2) - 84*q^(13/2) - 38*q^(11/2) - 17*q^(9/2) - 6*q^(7/2) - q^(5/2))*x1^(-17/2)*x2^(19/2) + (64*q^(53/2) + 96*q^(51/2) + 196*q^(49/2) + 312*q^(47/2) + 500*q^(45/2) + 688*q^(43/2) + 944*q^(41/2) + 1112*q^(39/2) + 1336*q^(37/2) + 1456*q^(35/2) + 1552*q^(33/2) + 1512*q^(31/2) + 1460*q^(29/2) + 1280*q^(27/2) + 1112*q^(25/2) + 880*q^(23/2) + 680*q^(21/2) + 472*q^(19/2) + 328*q^(17/2) + 192*q^(15/2) + 116*q^(13/2) + 56*q^(11/2) + 28*q^(9/2) + 8*q^(7/2) + 4*q^(5/2))*x1^(-15/2)*x2^(17/2) + (32*q^(67/2) + 88*q^(65/2) + 216*q^(63/2) + 448*q^(61/2) + 872*q^(59/2) + 1560*q^(57/2) + 2688*q^(55/2) + 4392*q^(53/2) + 6584*q^(51/2) + 9468*q^(49/2) + 12940*q^(47/2) + 16896*q^(45/2) + 21052*q^(43/2) + 25116*q^(41/2) + 28584*q^(39/2) + 31356*q^(37/2) + 32964*q^(35/2) + 33316*q^(33/2) + 32296*q^(31/2) + 30148*q^(29/2) + 26960*q^(27/2) + 23220*q^(25/2) + 19156*q^(23/2) + 15152*q^(21/2) + 11452*q^(19/2) + 8292*q^(17/2) + 5692*q^(15/2) + 3728*q^(13/2) + 2296*q^(11/2) + 1328*q^(9/2) + 712*q^(7/2) + 356*q^(5/2) + 156*q^(3/2) + 60*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(-15/2)*x2^(19/2) + (-49*q^(39/2) - 70*q^(37/2) - 137*q^(35/2) - 206*q^(33/2) - 308*q^(31/2) - 380*q^(29/2) - 445*q^(27/2) - 468*q^(25/2) - 477*q^(23/2) - 432*q^(21/2) - 365*q^(19/2) - 284*q^(17/2) - 205*q^(15/2) - 132*q^(13/2) - 76*q^(11/2) - 38*q^(9/2) - 17*q^(7/2) - 6*q^(5/2) - q^(3/2))*x1^(-13/2)*x2^(15/2) + (-28*q^(51/2) - 76*q^(49/2) - 184*q^(47/2) - 376*q^(45/2) - 720*q^(43/2) - 1264*q^(41/2) - 2132*q^(39/2) - 3116*q^(37/2) - 4380*q^(35/2) - 5700*q^(33/2) - 7028*q^(31/2) - 8032*q^(29/2) - 8716*q^(27/2) - 8848*q^(25/2) - 8556*q^(23/2) - 7744*q^(21/2) - 6636*q^(19/2) - 5332*q^(17/2) - 4056*q^(15/2) - 2868*q^(13/2) - 1908*q^(11/2) - 1168*q^(9/2) - 664*q^(7/2) - 340*q^(5/2) - 156*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(-13/2)*x2^(17/2) + (-32*q^(63/2) - 64*q^(61/2) - 184*q^(59/2) - 360*q^(57/2) - 752*q^(55/2) - 1352*q^(53/2) - 2570*q^(51/2) - 4416*q^(49/2) - 7460*q^(47/2) - 11800*q^(45/2) - 18100*q^(43/2) - 26216*q^(41/2) - 36526*q^(39/2) - 47930*q^(37/2) - 60334*q^(35/2) - 72166*q^(33/2) - 82612*q^(31/2) - 89966*q^(29/2) - 93830*q^(27/2) - 93300*q^(25/2) - 88916*q^(23/2) - 80864*q^(21/2) - 70412*q^(19/2) - 58500*q^(17/2) - 46520*q^(15/2) - 35224*q^(13/2) - 25464*q^(11/2) - 17472*q^(9/2) - 11382*q^(7/2) - 6988*q^(5/2) - 4044*q^(3/2) - 2172*q^(1/2) - 1082*q^(-1/2) - 486*q^(-3/2) - 194*q^(-5/2) - 66*q^(-7/2) - 18*q^(-9/2) - 2*q^(-11/2))*x1^(-13/2)*x2^(19/2) + (36*q^(27/2) + 48*q^(25/2) + 88*q^(23/2) + 120*q^(21/2) + 156*q^(19/2) + 144*q^(17/2) + 148*q^(15/2) + 112*q^(13/2) + 84*q^(11/2) + 48*q^(9/2) + 28*q^(7/2) + 8*q^(5/2) + 4*q^(3/2))*x1^(-11/2)*x2^(13/2) + (24*q^(37/2) + 64*q^(35/2) + 152*q^(33/2) + 304*q^(31/2) + 568*q^(29/2) + 968*q^(27/2) + 1372*q^(25/2) + 1816*q^(23/2) + 2180*q^(21/2) + 2384*q^(19/2) + 2340*q^(17/2) + 2140*q^(15/2) + 1768*q^(13/2) + 1344*q^(11/2) + 916*q^(9/2) + 568*q^(7/2) + 312*q^(5/2) + 152*q^(3/2) + 60*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(-11/2)*x2^(15/2) + (28*q^(47/2) + 56*q^(45/2) + 160*q^(43/2) + 312*q^(41/2) + 648*q^(39/2) + 1232*q^(37/2) + 2272*q^(35/2) + 3768*q^(33/2) + 6024*q^(31/2) + 8848*q^(29/2) + 12300*q^(27/2) + 15624*q^(25/2) + 18741*q^(23/2) + 20816*q^(21/2) + 21752*q^(19/2) + 21054*q^(17/2) + 19240*q^(15/2) + 16318*q^(13/2) + 13057*q^(11/2) + 9664*q^(9/2) + 6740*q^(7/2) + 4312*q^(5/2) + 2597*q^(3/2) + 1398*q^(1/2) + 704*q^(-1/2) + 302*q^(-3/2) + 120*q^(-5/2) + 32*q^(-7/2) + 9*q^(-9/2))*x1^(-11/2)*x2^(17/2) + (32*q^(57/2) + 64*q^(55/2) + 160*q^(53/2) + 344*q^(51/2) + 680*q^(49/2) + 1296*q^(47/2) + 2388*q^(45/2) + 4220*q^(43/2) + 7180*q^(41/2) + 11932*q^(39/2) + 19084*q^(37/2) + 29328*q^(35/2) + 42992*q^(33/2) + 60116*q^(31/2) + 79772*q^(29/2) + 100688*q^(27/2) + 120152*q^(25/2) + 136188*q^(23/2) + 146324*q^(21/2) + 149340*q^(19/2) + 144524*q^(17/2) + 133096*q^(15/2) + 116344*q^(13/2) + 96800*q^(11/2) + 76472*q^(9/2) + 57464*q^(7/2) + 40912*q^(5/2) + 27676*q^(3/2) + 17648*q^(1/2) + 10628*q^(-1/2) + 5992*q^(-3/2) + 3156*q^(-5/2) + 1520*q^(-7/2) + 676*q^(-9/2) + 264*q^(-11/2) + 88*q^(-13/2) + 24*q^(-15/2) + 4*q^(-17/2))*x1^(-11/2)*x2^(19/2) + (-25*q^(17/2) - 30*q^(15/2) - 49*q^(13/2) - 54*q^(11/2) - 44*q^(9/2) - 30*q^(7/2) - 17*q^(5/2) - 6*q^(3/2) - q^(1/2))*x1^(-9/2)*x2^(11/2) + (-20*q^(25/2) - 52*q^(23/2) - 120*q^(21/2) - 232*q^(19/2) - 416*q^(17/2) - 532*q^(15/2) - 644*q^(13/2) - 640*q^(11/2) - 552*q^(9/2) - 404*q^(7/2) - 264*q^(5/2) - 136*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(-9/2)*x2^(13/2) + (-24*q^(33/2) - 48*q^(31/2) - 136*q^(29/2) - 264*q^(27/2) - 594*q^(25/2) - 1064*q^(23/2) - 1820*q^(21/2) - 2720*q^(19/2) - 3764*q^(17/2) - 4490*q^(15/2) - 4920*q^(13/2) - 4786*q^(11/2) - 4218*q^(9/2) - 3322*q^(7/2) - 2382*q^(5/2) - 1512*q^(3/2) - 866*q^(1/2) - 430*q^(-1/2) - 186*q^(-3/2) - 66*q^(-5/2) - 18*q^(-7/2) - 2*q^(-9/2))*x1^(-9/2)*x2^(15/2) + (-28*q^(41/2) - 56*q^(39/2) - 140*q^(37/2) - 300*q^(35/2) - 632*q^(33/2) - 1176*q^(31/2) - 2228*q^(29/2) - 3812*q^(27/2) - 6444*q^(25/2) - 9960*q^(23/2) - 14492*q^(21/2) - 19332*q^(19/2) - 24100*q^(17/2) - 27360*q^(15/2) - 28932*q^(13/2) - 28112*q^(11/2) - 25384*q^(9/2) - 21128*q^(7/2) - 16400*q^(5/2) - 11712*q^(3/2) - 7796*q^(1/2) - 4756*q^(-1/2) - 2680*q^(-3/2) - 1364*q^(-5/2) - 636*q^(-7/2) - 252*q^(-9/2) - 88*q^(-11/2) - 24*q^(-13/2) - 4*q^(-15/2))*x1^(-9/2)*x2^(17/2) + (-32*q^(49/2) - 64*q^(47/2) - 160*q^(45/2) - 320*q^(43/2) - 712*q^(41/2) - 1276*q^(39/2) - 2412*q^(37/2) - 4200*q^(35/2) - 7319*q^(33/2) - 12090*q^(31/2) - 19715*q^(29/2) - 30358*q^(27/2) - 45279*q^(25/2) - 63528*q^(23/2) - 84638*q^(21/2) - 105818*q^(19/2) - 125008*q^(17/2) - 138210*q^(15/2) - 144249*q^(13/2) - 141364*q^(11/2) - 130790*q^(9/2) - 113918*q^(7/2) - 93895*q^(5/2) - 72892*q^(3/2) - 53621*q^(1/2) - 37154*q^(-1/2) - 24341*q^(-3/2) - 14980*q^(-5/2) - 8705*q^(-7/2) - 4690*q^(-9/2) - 2371*q^(-11/2) - 1100*q^(-13/2) - 464*q^(-15/2) - 172*q^(-17/2) - 59*q^(-19/2) - 14*q^(-21/2) - 2*q^(-23/2))*x1^(-9/2)*x2^(19/2) + (16*q^(9/2) + 16*q^(7/2) + 20*q^(5/2) + 8*q^(3/2) + 4*q^(1/2))*x1^(-7/2)*x2^(9/2) + (16*q^(15/2) + 40*q^(13/2) + 88*q^(11/2) + 160*q^(9/2) + 176*q^(7/2) + 164*q^(5/2) + 108*q^(3/2) + 56*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(-7/2)*x2^(11/2) + (20*q^(21/2) + 40*q^(19/2) + 112*q^(17/2) + 248*q^(15/2) + 484*q^(13/2) + 744*q^(11/2) + 1028*q^(9/2) + 1080*q^(7/2) + 1001*q^(5/2) + 744*q^(3/2) + 484*q^(1/2) + 246*q^(-1/2) + 112*q^(-3/2) + 32*q^(-5/2) + 9*q^(-7/2))*x1^(-7/2)*x2^(13/2) + (24*q^(27/2) + 48*q^(25/2) + 120*q^(23/2) + 288*q^(21/2) + 572*q^(19/2) + 1100*q^(17/2) + 1932*q^(15/2) + 3020*q^(13/2) + 4132*q^(11/2) + 5048*q^(9/2) + 5300*q^(7/2) + 4960*q^(5/2) + 4064*q^(3/2) + 2972*q^(1/2) + 1908*q^(-1/2) + 1096*q^(-3/2) + 540*q^(-5/2) + 236*q^(-7/2) + 84*q^(-9/2) + 24*q^(-11/2) + 4*q^(-13/2))*x1^(-7/2)*x2^(15/2) + (28*q^(33/2) + 56*q^(31/2) + 140*q^(29/2) + 320*q^(27/2) + 648*q^(25/2) + 1228*q^(23/2) + 2336*q^(21/2) + 4016*q^(19/2) + 6688*q^(17/2) + 10204*q^(15/2) + 14368*q^(13/2) + 18268*q^(11/2) + 21346*q^(9/2) + 22388*q^(7/2) + 21562*q^(5/2) + 18808*q^(3/2) + 15120*q^(1/2) + 11054*q^(-1/2) + 7494*q^(-3/2) + 4592*q^(-5/2) + 2626*q^(-7/2) + 1340*q^(-9/2) + 638*q^(-11/2) + 258*q^(-13/2) + 100*q^(-15/2) + 26*q^(-17/2) + 8*q^(-19/2))*x1^(-7/2)*x2^(17/2) + (32*q^(39/2) + 64*q^(37/2) + 160*q^(35/2) + 368*q^(33/2) + 724*q^(31/2) + 1380*q^(29/2) + 2584*q^(27/2) + 4572*q^(25/2) + 7828*q^(23/2) + 13040*q^(21/2) + 20588*q^(19/2) + 30972*q^(17/2) + 43716*q^(15/2) + 57648*q^(13/2) + 70640*q^(11/2) + 80724*q^(9/2) + 85420*q^(7/2) + 84320*q^(5/2) + 77464*q^(3/2) + 66588*q^(1/2) + 53488*q^(-1/2) + 40384*q^(-3/2) + 28528*q^(-5/2) + 19000*q^(-7/2) + 11864*q^(-9/2) + 6984*q^(-11/2) + 3840*q^(-13/2) + 2000*q^(-15/2) + 952*q^(-17/2) + 428*q^(-19/2) + 176*q^(-21/2) + 64*q^(-23/2) + 20*q^(-25/2) + 4*q^(-27/2))*x1^(-7/2)*x2^(19/2) + (-9*q^(3/2) - 6*q^(1/2) - q^(-1/2))*x1^(-5/2)*x2^(7/2) + (-12*q^(7/2) - 28*q^(5/2) - 56*q^(3/2) - 40*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(-5/2)*x2^(9/2) + (-16*q^(11/2) - 32*q^(9/2) - 106*q^(7/2) - 176*q^(5/2) - 244*q^(3/2) - 202*q^(1/2) - 130*q^(-1/2) - 58*q^(-3/2) - 18*q^(-5/2) - 2*q^(-7/2))*x1^(-5/2)*x2^(11/2) + (-20*q^(15/2) - 40*q^(13/2) - 124*q^(11/2) - 256*q^(9/2) - 516*q^(7/2) - 736*q^(5/2) - 920*q^(3/2) - 832*q^(1/2) - 636*q^(-1/2) - 384*q^(-3/2) - 196*q^(-5/2) - 72*q^(-7/2) - 24*q^(-9/2) - 4*q^(-11/2))*x1^(-5/2)*x2^(13/2) + (-24*q^(19/2) - 48*q^(17/2) - 152*q^(15/2) - 292*q^(13/2) - 663*q^(11/2) - 1174*q^(9/2) - 1935*q^(7/2) - 2596*q^(5/2) - 3103*q^(3/2) - 3012*q^(1/2) - 2574*q^(-1/2) - 1872*q^(-3/2) - 1211*q^(-5/2) - 660*q^(-7/2) - 326*q^(-9/2) - 132*q^(-11/2) - 51*q^(-13/2) - 14*q^(-15/2) - 2*q^(-17/2))*x1^(-5/2)*x2^(15/2) + (-28*q^(23/2) - 56*q^(21/2) - 180*q^(19/2) - 348*q^(17/2) - 760*q^(15/2) - 1412*q^(13/2) - 2644*q^(11/2) - 4220*q^(9/2) - 6308*q^(7/2) - 8172*q^(5/2) - 9648*q^(3/2) - 9848*q^(1/2) - 9124*q^(-1/2) - 7504*q^(-3/2) - 5652*q^(-5/2) - 3792*q^(-7/2) - 2360*q^(-9/2) - 1312*q^(-11/2) - 692*q^(-13/2) - 324*q^(-15/2) - 144*q^(-17/2) - 52*q^(-19/2) - 20*q^(-21/2) - 4*q^(-23/2))*x1^(-5/2)*x2^(17/2) + (-32*q^(27/2) - 64*q^(25/2) - 208*q^(23/2) - 404*q^(21/2) - 892*q^(19/2) - 1604*q^(17/2) - 3084*q^(15/2) - 5292*q^(13/2) - 8822*q^(11/2) - 13226*q^(9/2) - 18656*q^(7/2) - 23734*q^(5/2) - 27990*q^(3/2) - 29704*q^(1/2) - 29174*q^(-1/2) - 26202*q^(-3/2) - 21918*q^(-5/2) - 16846*q^(-7/2) - 12172*q^(-9/2) - 8130*q^(-11/2) - 5172*q^(-13/2) - 3066*q^(-15/2) - 1752*q^(-17/2) - 922*q^(-19/2) - 478*q^(-21/2) - 222*q^(-23/2) - 100*q^(-25/2) - 42*q^(-27/2) - 14*q^(-29/2) - 2*q^(-31/2))*x1^(-5/2)*x2^(19/2) + (4*q^(-1/2))*x1^(-3/2)*x2^(5/2) + (8*q^(1/2) + 16*q^(-1/2) + 4*q^(-3/2))*x1^(-3/2)*x2^(7/2) + (12*q^(3/2) + 32*q^(1/2) + 52*q^(-1/2) + 24*q^(-3/2) + 9*q^(-5/2))*x1^(-3/2)*x2^(9/2) + (16*q^(5/2) + 48*q^(3/2) + 100*q^(1/2) + 144*q^(-1/2) + 100*q^(-3/2) + 56*q^(-5/2) + 20*q^(-7/2) + 4*q^(-9/2))*x1^(-3/2)*x2^(11/2) + (20*q^(7/2) + 64*q^(5/2) + 148*q^(3/2) + 264*q^(1/2) + 372*q^(-1/2) + 316*q^(-3/2) + 238*q^(-5/2) + 132*q^(-7/2) + 60*q^(-9/2) + 18*q^(-11/2) + 8*q^(-13/2))*x1^(-3/2)*x2^(13/2) + (24*q^(9/2) + 80*q^(7/2) + 196*q^(5/2) + 384*q^(3/2) + 644*q^(1/2) + 884*q^(-1/2) + 876*q^(-3/2) + 768*q^(-5/2) + 560*q^(-7/2) + 348*q^(-9/2) + 180*q^(-11/2) + 88*q^(-13/2) + 36*q^(-15/2) + 16*q^(-17/2) + 4*q^(-19/2))*x1^(-3/2)*x2^(15/2) + (28*q^(11/2) + 96*q^(9/2) + 244*q^(7/2) + 504*q^(5/2) + 916*q^(3/2) + 1452*q^(1/2) + 2000*q^(-1/2) + 2164*q^(-3/2) + 2131*q^(-5/2) + 1820*q^(-7/2) + 1392*q^(-9/2) + 920*q^(-11/2) + 576*q^(-13/2) + 318*q^(-15/2) + 181*q^(-17/2) + 88*q^(-19/2) + 42*q^(-21/2) + 16*q^(-23/2) + 8*q^(-25/2))*x1^(-3/2)*x2^(17/2) + (32*q^(13/2) + 112*q^(11/2) + 292*q^(9/2) + 624*q^(7/2) + 1188*q^(5/2) + 2020*q^(3/2) + 3124*q^(1/2) + 4284*q^(-1/2) + 4956*q^(-3/2) + 5264*q^(-5/2) + 5036*q^(-7/2) + 4384*q^(-9/2) + 3456*q^(-11/2) + 2532*q^(-13/2) + 1704*q^(-15/2) + 1120*q^(-17/2) + 696*q^(-19/2) + 416*q^(-21/2) + 236*q^(-23/2) + 136*q^(-25/2) + 64*q^(-27/2) + 32*q^(-29/2) + 16*q^(-31/2) + 4*q^(-33/2))*x1^(-3/2)*x2^(19/2) + (-q^(-3/2))*x1^(-1/2)*x2^(3/2) + (-4*q^(-3/2))*x1^(-1/2)*x2^(5/2) + (-10*q^(-3/2) - 2*q^(-5/2))*x1^(-1/2)*x2^(7/2) + (-20*q^(-3/2) - 8*q^(-5/2) - 4*q^(-7/2))*x1^(-1/2)*x2^(9/2) + (-35*q^(-3/2) - 20*q^(-5/2) - 17*q^(-7/2) - 6*q^(-9/2) - 2*q^(-11/2))*x1^(-1/2)*x2^(11/2) + (-56*q^(-3/2) - 40*q^(-5/2) - 44*q^(-7/2) - 28*q^(-9/2) - 16*q^(-11/2) - 4*q^(-13/2) - 4*q^(-15/2))*x1^(-1/2)*x2^(13/2) + (-84*q^(-3/2) - 70*q^(-5/2) - 90*q^(-7/2) - 76*q^(-9/2) - 62*q^(-11/2) - 28*q^(-13/2) - 22*q^(-15/2) - 8*q^(-17/2) - 6*q^(-19/2) - 2*q^(-21/2))*x1^(-1/2)*x2^(15/2) + (-120*q^(-3/2) - 112*q^(-5/2) - 160*q^(-7/2) - 160*q^(-9/2) - 160*q^(-11/2) - 108*q^(-13/2) - 84*q^(-15/2) - 44*q^(-17/2) - 36*q^(-19/2) - 20*q^(-21/2) - 12*q^(-23/2) - 4*q^(-25/2) - 4*q^(-27/2))*x1^(-1/2)*x2^(17/2) + (-165*q^(-3/2) - 168*q^(-5/2) - 259*q^(-7/2) - 290*q^(-9/2) - 330*q^(-11/2) - 280*q^(-13/2) - 255*q^(-15/2) - 162*q^(-17/2) - 135*q^(-19/2) - 90*q^(-21/2) - 68*q^(-23/2) - 38*q^(-25/2) - 34*q^(-27/2) - 14*q^(-29/2) - 8*q^(-31/2) - 6*q^(-33/2) - 2*q^(-35/2))*x1^(-1/2)*x2^(19/2)
(-1/2, 3/2) x1^(1/2)x2^(-3/2) q^(-3/2)
(-81*q^(69/2) - 126*q^(67/2) - 265*q^(65/2) - 438*q^(63/2) - 732*q^(61/2) - 1068*q^(59/2) - 1573*q^(57/2) - 2074*q^(55/2) - 2673*q^(53/2) - 3262*q^(51/2) - 3881*q^(49/2) - 4364*q^(47/2) - 4813*q^(45/2) - 5026*q^(43/2) - 5109*q^(41/2) - 5002*q^(39/2) - 4738*q^(37/2) - 4298*q^(35/2) - 3789*q^(33/2) - 3194*q^(31/2) - 2597*q^(29/2) - 2028*q^(27/2) - 1521*q^(25/2) - 1078*q^(23/2) - 737*q^(21/2) - 474*q^(19/2) - 285*q^(17/2) - 164*q^(15/2) - 84*q^(13/2) - 38*q^(11/2) - 17*q^(9/2) - 6*q^(7/2) - q^(5/2))*x1^(17/2)*x2^(-19/2) + (64*q^(53/2) + 96*q^(51/2) + 196*q^(49/2) + 312*q^(47/2) + 500*q^(45/2) + 688*q^(43/2) + 944*q^(41/2) + 1112*q^(39/2) + 1336*q^(37/2) + 1456*q^(35/2) + 1552*q^(33/2) + 1512*q^(31/2) + 1460*q^(29/2) + 1280*q^(27/2) + 1112*q^(25/2) + 880*q^(23/2) + 680*q^(21/2) + 472*q^(19/2) + 328*q^(17/2) + 192*q^(15/2) + 116*q^(13/2) + 56*q^(11/2) + 28*q^(9/2) + 8*q^(7/2) + 4*q^(5/2))*x1^(15/2)*x2^(-17/2) + (32*q^(67/2) + 88*q^(65/2) + 216*q^(63/2) + 448*q^(61/2) + 872*q^(59/2) + 1560*q^(57/2) + 2688*q^(55/2) + 4392*q^(53/2) + 6584*q^(51/2) + 9468*q^(49/2) + 12940*q^(47/2) + 16896*q^(45/2) + 21052*q^(43/2) + 25116*q^(41/2) + 28584*q^(39/2) + 31356*q^(37/2) + 32964*q^(35/2) + 33316*q^(33/2) + 32296*q^(31/2) + 30148*q^(29/2) + 26960*q^(27/2) + 23220*q^(25/2) + 19156*q^(23/2) + 15152*q^(21/2) + 11452*q^(19/2) + 8292*q^(17/2) + 5692*q^(15/2) + 3728*q^(13/2) + 2296*q^(11/2) + 1328*q^(9/2) + 712*q^(7/2) + 356*q^(5/2) + 156*q^(3/2) + 60*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(15/2)*x2^(-19/2) + (-49*q^(39/2) - 70*q^(37/2) - 137*q^(35/2) - 206*q^(33/2) - 308*q^(31/2) - 380*q^(29/2) - 445*q^(27/2) - 468*q^(25/2) - 477*q^(23/2) - 432*q^(21/2) - 365*q^(19/2) - 284*q^(17/2) - 205*q^(15/2) - 132*q^(13/2) - 76*q^(11/2) - 38*q^(9/2) - 17*q^(7/2) - 6*q^(5/2) - q^(3/2))*x1^(13/2)*x2^(-15/2) + (-28*q^(51/2) - 76*q^(49/2) - 184*q^(47/2) - 376*q^(45/2) - 720*q^(43/2) - 1264*q^(41/2) - 2132*q^(39/2) - 3116*q^(37/2) - 4380*q^(35/2) - 5700*q^(33/2) - 7028*q^(31/2) - 8032*q^(29/2) - 8716*q^(27/2) - 8848*q^(25/2) - 8556*q^(23/2) - 7744*q^(21/2) - 6636*q^(19/2) - 5332*q^(17/2) - 4056*q^(15/2) - 2868*q^(13/2) - 1908*q^(11/2) - 1168*q^(9/2) - 664*q^(7/2) - 340*q^(5/2) - 156*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(13/2)*x2^(-17/2) + (-32*q^(63/2) - 64*q^(61/2) - 184*q^(59/2) - 360*q^(57/2) - 752*q^(55/2) - 1352*q^(53/2) - 2570*q^(51/2) - 4416*q^(49/2) - 7460*q^(47/2) - 11800*q^(45/2) - 18100*q^(43/2) - 26216*q^(41/2) - 36526*q^(39/2) - 47930*q^(37/2) - 60334*q^(35/2) - 72166*q^(33/2) - 82612*q^(31/2) - 89966*q^(29/2) - 93830*q^(27/2) - 93300*q^(25/2) - 88916*q^(23/2) - 80864*q^(21/2) - 70412*q^(19/2) - 58500*q^(17/2) - 46520*q^(15/2) - 35224*q^(13/2) - 25464*q^(11/2) - 17472*q^(9/2) - 11382*q^(7/2) - 6988*q^(5/2) - 4044*q^(3/2) - 2172*q^(1/2) - 1082*q^(-1/2) - 486*q^(-3/2) - 194*q^(-5/2) - 66*q^(-7/2) - 18*q^(-9/2) - 2*q^(-11/2))*x1^(13/2)*x2^(-19/2) + (36*q^(27/2) + 48*q^(25/2) + 88*q^(23/2) + 120*q^(21/2) + 156*q^(19/2) + 144*q^(17/2) + 148*q^(15/2) + 112*q^(13/2) + 84*q^(11/2) + 48*q^(9/2) + 28*q^(7/2) + 8*q^(5/2) + 4*q^(3/2))*x1^(11/2)*x2^(-13/2) + (24*q^(37/2) + 64*q^(35/2) + 152*q^(33/2) + 304*q^(31/2) + 568*q^(29/2) + 968*q^(27/2) + 1372*q^(25/2) + 1816*q^(23/2) + 2180*q^(21/2) + 2384*q^(19/2) + 2340*q^(17/2) + 2140*q^(15/2) + 1768*q^(13/2) + 1344*q^(11/2) + 916*q^(9/2) + 568*q^(7/2) + 312*q^(5/2) + 152*q^(3/2) + 60*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(11/2)*x2^(-15/2) + (28*q^(47/2) + 56*q^(45/2) + 160*q^(43/2) + 312*q^(41/2) + 648*q^(39/2) + 1232*q^(37/2) + 2272*q^(35/2) + 3768*q^(33/2) + 6024*q^(31/2) + 8848*q^(29/2) + 12300*q^(27/2) + 15624*q^(25/2) + 18741*q^(23/2) + 20816*q^(21/2) + 21752*q^(19/2) + 21054*q^(17/2) + 19240*q^(15/2) + 16318*q^(13/2) + 13057*q^(11/2) + 9664*q^(9/2) + 6740*q^(7/2) + 4312*q^(5/2) + 2597*q^(3/2) + 1398*q^(1/2) + 704*q^(-1/2) + 302*q^(-3/2) + 120*q^(-5/2) + 32*q^(-7/2) + 9*q^(-9/2))*x1^(11/2)*x2^(-17/2) + (32*q^(57/2) + 64*q^(55/2) + 160*q^(53/2) + 344*q^(51/2) + 680*q^(49/2) + 1296*q^(47/2) + 2388*q^(45/2) + 4220*q^(43/2) + 7180*q^(41/2) + 11932*q^(39/2) + 19084*q^(37/2) + 29328*q^(35/2) + 42992*q^(33/2) + 60116*q^(31/2) + 79772*q^(29/2) + 100688*q^(27/2) + 120152*q^(25/2) + 136188*q^(23/2) + 146324*q^(21/2) + 149340*q^(19/2) + 144524*q^(17/2) + 133096*q^(15/2) + 116344*q^(13/2) + 96800*q^(11/2) + 76472*q^(9/2) + 57464*q^(7/2) + 40912*q^(5/2) + 27676*q^(3/2) + 17648*q^(1/2) + 10628*q^(-1/2) + 5992*q^(-3/2) + 3156*q^(-5/2) + 1520*q^(-7/2) + 676*q^(-9/2) + 264*q^(-11/2) + 88*q^(-13/2) + 24*q^(-15/2) + 4*q^(-17/2))*x1^(11/2)*x2^(-19/2) + (-25*q^(17/2) - 30*q^(15/2) - 49*q^(13/2) - 54*q^(11/2) - 44*q^(9/2) - 30*q^(7/2) - 17*q^(5/2) - 6*q^(3/2) - q^(1/2))*x1^(9/2)*x2^(-11/2) + (-20*q^(25/2) - 52*q^(23/2) - 120*q^(21/2) - 232*q^(19/2) - 416*q^(17/2) - 532*q^(15/2) - 644*q^(13/2) - 640*q^(11/2) - 552*q^(9/2) - 404*q^(7/2) - 264*q^(5/2) - 136*q^(3/2) - 60*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(9/2)*x2^(-13/2) + (-24*q^(33/2) - 48*q^(31/2) - 136*q^(29/2) - 264*q^(27/2) - 594*q^(25/2) - 1064*q^(23/2) - 1820*q^(21/2) - 2720*q^(19/2) - 3764*q^(17/2) - 4490*q^(15/2) - 4920*q^(13/2) - 4786*q^(11/2) - 4218*q^(9/2) - 3322*q^(7/2) - 2382*q^(5/2) - 1512*q^(3/2) - 866*q^(1/2) - 430*q^(-1/2) - 186*q^(-3/2) - 66*q^(-5/2) - 18*q^(-7/2) - 2*q^(-9/2))*x1^(9/2)*x2^(-15/2) + (-28*q^(41/2) - 56*q^(39/2) - 140*q^(37/2) - 300*q^(35/2) - 632*q^(33/2) - 1176*q^(31/2) - 2228*q^(29/2) - 3812*q^(27/2) - 6444*q^(25/2) - 9960*q^(23/2) - 14492*q^(21/2) - 19332*q^(19/2) - 24100*q^(17/2) - 27360*q^(15/2) - 28932*q^(13/2) - 28112*q^(11/2) - 25384*q^(9/2) - 21128*q^(7/2) - 16400*q^(5/2) - 11712*q^(3/2) - 7796*q^(1/2) - 4756*q^(-1/2) - 2680*q^(-3/2) - 1364*q^(-5/2) - 636*q^(-7/2) - 252*q^(-9/2) - 88*q^(-11/2) - 24*q^(-13/2) - 4*q^(-15/2))*x1^(9/2)*x2^(-17/2) + (-32*q^(49/2) - 64*q^(47/2) - 160*q^(45/2) - 320*q^(43/2) - 712*q^(41/2) - 1276*q^(39/2) - 2412*q^(37/2) - 4200*q^(35/2) - 7319*q^(33/2) - 12090*q^(31/2) - 19715*q^(29/2) - 30358*q^(27/2) - 45279*q^(25/2) - 63528*q^(23/2) - 84638*q^(21/2) - 105818*q^(19/2) - 125008*q^(17/2) - 138210*q^(15/2) - 144249*q^(13/2) - 141364*q^(11/2) - 130790*q^(9/2) - 113918*q^(7/2) - 93895*q^(5/2) - 72892*q^(3/2) - 53621*q^(1/2) - 37154*q^(-1/2) - 24341*q^(-3/2) - 14980*q^(-5/2) - 8705*q^(-7/2) - 4690*q^(-9/2) - 2371*q^(-11/2) - 1100*q^(-13/2) - 464*q^(-15/2) - 172*q^(-17/2) - 59*q^(-19/2) - 14*q^(-21/2) - 2*q^(-23/2))*x1^(9/2)*x2^(-19/2) + (16*q^(9/2) + 16*q^(7/2) + 20*q^(5/2) + 8*q^(3/2) + 4*q^(1/2))*x1^(7/2)*x2^(-9/2) + (16*q^(15/2) + 40*q^(13/2) + 88*q^(11/2) + 160*q^(9/2) + 176*q^(7/2) + 164*q^(5/2) + 108*q^(3/2) + 56*q^(1/2) + 20*q^(-1/2) + 4*q^(-3/2))*x1^(7/2)*x2^(-11/2) + (20*q^(21/2) + 40*q^(19/2) + 112*q^(17/2) + 248*q^(15/2) + 484*q^(13/2) + 744*q^(11/2) + 1028*q^(9/2) + 1080*q^(7/2) + 1001*q^(5/2) + 744*q^(3/2) + 484*q^(1/2) + 246*q^(-1/2) + 112*q^(-3/2) + 32*q^(-5/2) + 9*q^(-7/2))*x1^(7/2)*x2^(-13/2) + (24*q^(27/2) + 48*q^(25/2) + 120*q^(23/2) + 288*q^(21/2) + 572*q^(19/2) + 1100*q^(17/2) + 1932*q^(15/2) + 3020*q^(13/2) + 4132*q^(11/2) + 5048*q^(9/2) + 5300*q^(7/2) + 4960*q^(5/2) + 4064*q^(3/2) + 2972*q^(1/2) + 1908*q^(-1/2) + 1096*q^(-3/2) + 540*q^(-5/2) + 236*q^(-7/2) + 84*q^(-9/2) + 24*q^(-11/2) + 4*q^(-13/2))*x1^(7/2)*x2^(-15/2) + (28*q^(33/2) + 56*q^(31/2) + 140*q^(29/2) + 320*q^(27/2) + 648*q^(25/2) + 1228*q^(23/2) + 2336*q^(21/2) + 4016*q^(19/2) + 6688*q^(17/2) + 10204*q^(15/2) + 14368*q^(13/2) + 18268*q^(11/2) + 21346*q^(9/2) + 22388*q^(7/2) + 21562*q^(5/2) + 18808*q^(3/2) + 15120*q^(1/2) + 11054*q^(-1/2) + 7494*q^(-3/2) + 4592*q^(-5/2) + 2626*q^(-7/2) + 1340*q^(-9/2) + 638*q^(-11/2) + 258*q^(-13/2) + 100*q^(-15/2) + 26*q^(-17/2) + 8*q^(-19/2))*x1^(7/2)*x2^(-17/2) + (32*q^(39/2) + 64*q^(37/2) + 160*q^(35/2) + 368*q^(33/2) + 724*q^(31/2) + 1380*q^(29/2) + 2584*q^(27/2) + 4572*q^(25/2) + 7828*q^(23/2) + 13040*q^(21/2) + 20588*q^(19/2) + 30972*q^(17/2) + 43716*q^(15/2) + 57648*q^(13/2) + 70640*q^(11/2) + 80724*q^(9/2) + 85420*q^(7/2) + 84320*q^(5/2) + 77464*q^(3/2) + 66588*q^(1/2) + 53488*q^(-1/2) + 40384*q^(-3/2) + 28528*q^(-5/2) + 19000*q^(-7/2) + 11864*q^(-9/2) + 6984*q^(-11/2) + 3840*q^(-13/2) + 2000*q^(-15/2) + 952*q^(-17/2) + 428*q^(-19/2) + 176*q^(-21/2) + 64*q^(-23/2) + 20*q^(-25/2) + 4*q^(-27/2))*x1^(7/2)*x2^(-19/2) + (-9*q^(3/2) - 6*q^(1/2) - q^(-1/2))*x1^(5/2)*x2^(-7/2) + (-12*q^(7/2) - 28*q^(5/2) - 56*q^(3/2) - 40*q^(1/2) - 20*q^(-1/2) - 4*q^(-3/2))*x1^(5/2)*x2^(-9/2) + (-16*q^(11/2) - 32*q^(9/2) - 106*q^(7/2) - 176*q^(5/2) - 244*q^(3/2) - 202*q^(1/2) - 130*q^(-1/2) - 58*q^(-3/2) - 18*q^(-5/2) - 2*q^(-7/2))*x1^(5/2)*x2^(-11/2) + (-20*q^(15/2) - 40*q^(13/2) - 124*q^(11/2) - 256*q^(9/2) - 516*q^(7/2) - 736*q^(5/2) - 920*q^(3/2) - 832*q^(1/2) - 636*q^(-1/2) - 384*q^(-3/2) - 196*q^(-5/2) - 72*q^(-7/2) - 24*q^(-9/2) - 4*q^(-11/2))*x1^(5/2)*x2^(-13/2) + (-24*q^(19/2) - 48*q^(17/2) - 152*q^(15/2) - 292*q^(13/2) - 663*q^(11/2) - 1174*q^(9/2) - 1935*q^(7/2) - 2596*q^(5/2) - 3103*q^(3/2) - 3012*q^(1/2) - 2574*q^(-1/2) - 1872*q^(-3/2) - 1211*q^(-5/2) - 660*q^(-7/2) - 326*q^(-9/2) - 132*q^(-11/2) - 51*q^(-13/2) - 14*q^(-15/2) - 2*q^(-17/2))*x1^(5/2)*x2^(-15/2) + (-28*q^(23/2) - 56*q^(21/2) - 180*q^(19/2) - 348*q^(17/2) - 760*q^(15/2) - 1412*q^(13/2) - 2644*q^(11/2) - 4220*q^(9/2) - 6308*q^(7/2) - 8172*q^(5/2) - 9648*q^(3/2) - 9848*q^(1/2) - 9124*q^(-1/2) - 7504*q^(-3/2) - 5652*q^(-5/2) - 3792*q^(-7/2) - 2360*q^(-9/2) - 1312*q^(-11/2) - 692*q^(-13/2) - 324*q^(-15/2) - 144*q^(-17/2) - 52*q^(-19/2) - 20*q^(-21/2) - 4*q^(-23/2))*x1^(5/2)*x2^(-17/2) + (-32*q^(27/2) - 64*q^(25/2) - 208*q^(23/2) - 404*q^(21/2) - 892*q^(19/2) - 1604*q^(17/2) - 3084*q^(15/2) - 5292*q^(13/2) - 8822*q^(11/2) - 13226*q^(9/2) - 18656*q^(7/2) - 23734*q^(5/2) - 27990*q^(3/2) - 29704*q^(1/2) - 29174*q^(-1/2) - 26202*q^(-3/2) - 21918*q^(-5/2) - 16846*q^(-7/2) - 12172*q^(-9/2) - 8130*q^(-11/2) - 5172*q^(-13/2) - 3066*q^(-15/2) - 1752*q^(-17/2) - 922*q^(-19/2) - 478*q^(-21/2) - 222*q^(-23/2) - 100*q^(-25/2) - 42*q^(-27/2) - 14*q^(-29/2) - 2*q^(-31/2))*x1^(5/2)*x2^(-19/2) + (4*q^(-1/2))*x1^(3/2)*x2^(-5/2) + (8*q^(1/2) + 16*q^(-1/2) + 4*q^(-3/2))*x1^(3/2)*x2^(-7/2) + (12*q^(3/2) + 32*q^(1/2) + 52*q^(-1/2) + 24*q^(-3/2) + 9*q^(-5/2))*x1^(3/2)*x2^(-9/2) + (16*q^(5/2) + 48*q^(3/2) + 100*q^(1/2) + 144*q^(-1/2) + 100*q^(-3/2) + 56*q^(-5/2) + 20*q^(-7/2) + 4*q^(-9/2))*x1^(3/2)*x2^(-11/2) + (20*q^(7/2) + 64*q^(5/2) + 148*q^(3/2) + 264*q^(1/2) + 372*q^(-1/2) + 316*q^(-3/2) + 238*q^(-5/2) + 132*q^(-7/2) + 60*q^(-9/2) + 18*q^(-11/2) + 8*q^(-13/2))*x1^(3/2)*x2^(-13/2) + (24*q^(9/2) + 80*q^(7/2) + 196*q^(5/2) + 384*q^(3/2) + 644*q^(1/2) + 884*q^(-1/2) + 876*q^(-3/2) + 768*q^(-5/2) + 560*q^(-7/2) + 348*q^(-9/2) + 180*q^(-11/2) + 88*q^(-13/2) + 36*q^(-15/2) + 16*q^(-17/2) + 4*q^(-19/2))*x1^(3/2)*x2^(-15/2) + (28*q^(11/2) + 96*q^(9/2) + 244*q^(7/2) + 504*q^(5/2) + 916*q^(3/2) + 1452*q^(1/2) + 2000*q^(-1/2) + 2164*q^(-3/2) + 2131*q^(-5/2) + 1820*q^(-7/2) + 1392*q^(-9/2) + 920*q^(-11/2) + 576*q^(-13/2) + 318*q^(-15/2) + 181*q^(-17/2) + 88*q^(-19/2) + 42*q^(-21/2) + 16*q^(-23/2) + 8*q^(-25/2))*x1^(3/2)*x2^(-17/2) + (32*q^(13/2) + 112*q^(11/2) + 292*q^(9/2) + 624*q^(7/2) + 1188*q^(5/2) + 2020*q^(3/2) + 3124*q^(1/2) + 4284*q^(-1/2) + 4956*q^(-3/2) + 5264*q^(-5/2) + 5036*q^(-7/2) + 4384*q^(-9/2) + 3456*q^(-11/2) + 2532*q^(-13/2) + 1704*q^(-15/2) + 1120*q^(-17/2) + 696*q^(-19/2) + 416*q^(-21/2) + 236*q^(-23/2) + 136*q^(-25/2) + 64*q^(-27/2) + 32*q^(-29/2) + 16*q^(-31/2) + 4*q^(-33/2))*x1^(3/2)*x2^(-19/2) + (-q^(-3/2))*x1^(1/2)*x2^(-3/2) + (-4*q^(-3/2))*x1^(1/2)*x2^(-5/2) + (-10*q^(-3/2) - 2*q^(-5/2))*x1^(1/2)*x2^(-7/2) + (-20*q^(-3/2) - 8*q^(-5/2) - 4*q^(-7/2))*x1^(1/2)*x2^(-9/2) + (-35*q^(-3/2) - 20*q^(-5/2) - 17*q^(-7/2) - 6*q^(-9/2) - 2*q^(-11/2))*x1^(1/2)*x2^(-11/2) + (-56*q^(-3/2) - 40*q^(-5/2) - 44*q^(-7/2) - 28*q^(-9/2) - 16*q^(-11/2) - 4*q^(-13/2) - 4*q^(-15/2))*x1^(1/2)*x2^(-13/2) + (-84*q^(-3/2) - 70*q^(-5/2) - 90*q^(-7/2) - 76*q^(-9/2) - 62*q^(-11/2) - 28*q^(-13/2) - 22*q^(-15/2) - 8*q^(-17/2) - 6*q^(-19/2) - 2*q^(-21/2))*x1^(1/2)*x2^(-15/2) + (-120*q^(-3/2) - 112*q^(-5/2) - 160*q^(-7/2) - 160*q^(-9/2) - 160*q^(-11/2) - 108*q^(-13/2) - 84*q^(-15/2) - 44*q^(-17/2) - 36*q^(-19/2) - 20*q^(-21/2) - 12*q^(-23/2) - 4*q^(-25/2) - 4*q^(-27/2))*x1^(1/2)*x2^(-17/2) + (-165*q^(-3/2) - 168*q^(-5/2) - 259*q^(-7/2) - 290*q^(-9/2) - 330*q^(-11/2) - 280*q^(-13/2) - 255*q^(-15/2) - 162*q^(-17/2) - 135*q^(-19/2) - 90*q^(-21/2) - 68*q^(-23/2) - 38*q^(-25/2) - 34*q^(-27/2) - 14*q^(-29/2) - 8*q^(-31/2) - 6*q^(-33/2) - 2*q^(-35/2))*x1^(1/2)*x2^(-19/2)

Braid

Braid word Components Crossings Strands
[-1, 2, -1, -2, -3, -3, -2, -2, -1, 2, 3, -2] 2 12 4

Multivariable Alexander polynomial

ΔL
-4*A1^(1/2)*A2^(1/2) + 4*A1^(1/2)*A2^(-1/2) - A1^(1/2)*A2^(-3/2) - A1^(-1/2)*A2^(3/2) + 4*A1^(-1/2)*A2^(1/2) - 4*A1^(-1/2)*A2^(-1/2)

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, -1) no
(1, -3) yes
(1, 1) no
(-1, 3) yes
Dual Thurston polygon-10105h1h2

HFL polytope

Poincaré polynomial
4*m^(-1)*A1^(-1)*A2^(-1) + m^(-1)*A2^(-2) + 8*A1^(-1) + 9*A2^(-1) + A1*A2^(-2) + 5*m*A1^(-1)*A2 + 16*m + 5*m*A1*A2^(-1) + m^2*A1^(-1)*A2^2 + 9*m^2*A2 + 8*m^2*A1 + m^3*A2^2 + 4*m^3*A1*A2
VertexMaslovRank
(-1, -1)-14
(0, -2)-11
(1, -2)01
(1, 1)34
(0, 2)31
(-1, 2)21
HFL polytope-101-202A1A2

Record

FL/HFL Links

orderOption(int) 63
namestring L8a7{0}
statusstring success
slugstring L8a7_0_868bf20d
result_filestring details/L8a7_0_868bf20d.json
complexity_scoreOption(int) 128
strandsOption(int) null
crossingsOption(int) 8
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 72
wall_secondsOption(float) 0.002053
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": "L8a7_0_868bf20d"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L8a7_0_868bf20d