details/L8a7_1_10dd7359.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^(1/2)
{"0": [-1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1], "1": [1, -1, 1, -1]}
(-q^(1/2))*x1^(1/2)*x2^(3/2) + (-4*q^(1/2))*x1^(1/2)*x2^(5/2) + (4*q^(3/2))*x1^(3/2)*x2^(5/2) + (-10*q^(1/2) - 2*q^(-1/2))*x1^(1/2)*x2^(7/2) + (8*q^(5/2) + 16*q^(3/2) + 4*q^(1/2))*x1^(3/2)*x2^(7/2) + (-9*q^(7/2) - 6*q^(5/2) - q^(3/2))*x1^(5/2)*x2^(7/2) + (-20*q^(1/2) - 8*q^(-1/2) - 4*q^(-3/2))*x1^(1/2)*x2^(9/2) + (12*q^(7/2) + 32*q^(5/2) + 52*q^(3/2) + 24*q^(1/2) + 9*q^(-1/2))*x1^(3/2)*x2^(9/2) + (-12*q^(11/2) - 28*q^(9/2) - 56*q^(7/2) - 40*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(5/2)*x2^(9/2) + (16*q^(13/2) + 16*q^(11/2) + 20*q^(9/2) + 8*q^(7/2) + 4*q^(5/2))*x1^(7/2)*x2^(9/2) + (-35*q^(1/2) - 20*q^(-1/2) - 17*q^(-3/2) - 6*q^(-5/2) - 2*q^(-7/2))*x1^(1/2)*x2^(11/2) + (16*q^(9/2) + 48*q^(7/2) + 100*q^(5/2) + 144*q^(3/2) + 100*q^(1/2) + 56*q^(-1/2) + 20*q^(-3/2) + 4*q^(-5/2))*x1^(3/2)*x2^(11/2) + (-16*q^(15/2) - 32*q^(13/2) - 106*q^(11/2) - 176*q^(9/2) - 244*q^(7/2) - 202*q^(5/2) - 130*q^(3/2) - 58*q^(1/2) - 18*q^(-1/2) - 2*q^(-3/2))*x1^(5/2)*x2^(11/2) + (16*q^(19/2) + 40*q^(17/2) + 88*q^(15/2) + 160*q^(13/2) + 176*q^(11/2) + 164*q^(9/2) + 108*q^(7/2) + 56*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(7/2)*x2^(11/2) + (-25*q^(21/2) - 30*q^(19/2) - 49*q^(17/2) - 54*q^(15/2) - 44*q^(13/2) - 30*q^(11/2) - 17*q^(9/2) - 6*q^(7/2) - q^(5/2))*x1^(9/2)*x2^(11/2) + (-56*q^(1/2) - 40*q^(-1/2) - 44*q^(-3/2) - 28*q^(-5/2) - 16*q^(-7/2) - 4*q^(-9/2) - 4*q^(-11/2))*x1^(1/2)*x2^(13/2) + (20*q^(11/2) + 64*q^(9/2) + 148*q^(7/2) + 264*q^(5/2) + 372*q^(3/2) + 316*q^(1/2) + 238*q^(-1/2) + 132*q^(-3/2) + 60*q^(-5/2) + 18*q^(-7/2) + 8*q^(-9/2))*x1^(3/2)*x2^(13/2) + (-20*q^(19/2) - 40*q^(17/2) - 124*q^(15/2) - 256*q^(13/2) - 516*q^(11/2) - 736*q^(9/2) - 920*q^(7/2) - 832*q^(5/2) - 636*q^(3/2) - 384*q^(1/2) - 196*q^(-1/2) - 72*q^(-3/2) - 24*q^(-5/2) - 4*q^(-7/2))*x1^(5/2)*x2^(13/2) + (20*q^(25/2) + 40*q^(23/2) + 112*q^(21/2) + 248*q^(19/2) + 484*q^(17/2) + 744*q^(15/2) + 1028*q^(13/2) + 1080*q^(11/2) + 1001*q^(9/2) + 744*q^(7/2) + 484*q^(5/2) + 246*q^(3/2) + 112*q^(1/2) + 32*q^(-1/2) + 9*q^(-3/2))*x1^(7/2)*x2^(13/2) + (-20*q^(29/2) - 52*q^(27/2) - 120*q^(25/2) - 232*q^(23/2) - 416*q^(21/2) - 532*q^(19/2) - 644*q^(17/2) - 640*q^(15/2) - 552*q^(13/2) - 404*q^(11/2) - 264*q^(9/2) - 136*q^(7/2) - 60*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(9/2)*x2^(13/2) + (36*q^(31/2) + 48*q^(29/2) + 88*q^(27/2) + 120*q^(25/2) + 156*q^(23/2) + 144*q^(21/2) + 148*q^(19/2) + 112*q^(17/2) + 84*q^(15/2) + 48*q^(13/2) + 28*q^(11/2) + 8*q^(9/2) + 4*q^(7/2))*x1^(11/2)*x2^(13/2) + (-84*q^(1/2) - 70*q^(-1/2) - 90*q^(-3/2) - 76*q^(-5/2) - 62*q^(-7/2) - 28*q^(-9/2) - 22*q^(-11/2) - 8*q^(-13/2) - 6*q^(-15/2) - 2*q^(-17/2))*x1^(1/2)*x2^(15/2) + (24*q^(13/2) + 80*q^(11/2) + 196*q^(9/2) + 384*q^(7/2) + 644*q^(5/2) + 884*q^(3/2) + 876*q^(1/2) + 768*q^(-1/2) + 560*q^(-3/2) + 348*q^(-5/2) + 180*q^(-7/2) + 88*q^(-9/2) + 36*q^(-11/2) + 16*q^(-13/2) + 4*q^(-15/2))*x1^(3/2)*x2^(15/2) + (-24*q^(23/2) - 48*q^(21/2) - 152*q^(19/2) - 292*q^(17/2) - 663*q^(15/2) - 1174*q^(13/2) - 1935*q^(11/2) - 2596*q^(9/2) - 3103*q^(7/2) - 3012*q^(5/2) - 2574*q^(3/2) - 1872*q^(1/2) - 1211*q^(-1/2) - 660*q^(-3/2) - 326*q^(-5/2) - 132*q^(-7/2) - 51*q^(-9/2) - 14*q^(-11/2) - 2*q^(-13/2))*x1^(5/2)*x2^(15/2) + (24*q^(31/2) + 48*q^(29/2) + 120*q^(27/2) + 288*q^(25/2) + 572*q^(23/2) + 1100*q^(21/2) + 1932*q^(19/2) + 3020*q^(17/2) + 4132*q^(15/2) + 5048*q^(13/2) + 5300*q^(11/2) + 4960*q^(9/2) + 4064*q^(7/2) + 2972*q^(5/2) + 1908*q^(3/2) + 1096*q^(1/2) + 540*q^(-1/2) + 236*q^(-3/2) + 84*q^(-5/2) + 24*q^(-7/2) + 4*q^(-9/2))*x1^(7/2)*x2^(15/2) + (-24*q^(37/2) - 48*q^(35/2) - 136*q^(33/2) - 264*q^(31/2) - 594*q^(29/2) - 1064*q^(27/2) - 1820*q^(25/2) - 2720*q^(23/2) - 3764*q^(21/2) - 4490*q^(19/2) - 4920*q^(17/2) - 4786*q^(15/2) - 4218*q^(13/2) - 3322*q^(11/2) - 2382*q^(9/2) - 1512*q^(7/2) - 866*q^(5/2) - 430*q^(3/2) - 186*q^(1/2) - 66*q^(-1/2) - 18*q^(-3/2) - 2*q^(-5/2))*x1^(9/2)*x2^(15/2) + (24*q^(41/2) + 64*q^(39/2) + 152*q^(37/2) + 304*q^(35/2) + 568*q^(33/2) + 968*q^(31/2) + 1372*q^(29/2) + 1816*q^(27/2) + 2180*q^(25/2) + 2384*q^(23/2) + 2340*q^(21/2) + 2140*q^(19/2) + 1768*q^(17/2) + 1344*q^(15/2) + 916*q^(13/2) + 568*q^(11/2) + 312*q^(9/2) + 152*q^(7/2) + 60*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(11/2)*x2^(15/2) + (-49*q^(43/2) - 70*q^(41/2) - 137*q^(39/2) - 206*q^(37/2) - 308*q^(35/2) - 380*q^(33/2) - 445*q^(31/2) - 468*q^(29/2) - 477*q^(27/2) - 432*q^(25/2) - 365*q^(23/2) - 284*q^(21/2) - 205*q^(19/2) - 132*q^(17/2) - 76*q^(15/2) - 38*q^(13/2) - 17*q^(11/2) - 6*q^(9/2) - q^(7/2))*x1^(13/2)*x2^(15/2) + (-120*q^(1/2) - 112*q^(-1/2) - 160*q^(-3/2) - 160*q^(-5/2) - 160*q^(-7/2) - 108*q^(-9/2) - 84*q^(-11/2) - 44*q^(-13/2) - 36*q^(-15/2) - 20*q^(-17/2) - 12*q^(-19/2) - 4*q^(-21/2) - 4*q^(-23/2))*x1^(1/2)*x2^(17/2) + (28*q^(15/2) + 96*q^(13/2) + 244*q^(11/2) + 504*q^(9/2) + 916*q^(7/2) + 1452*q^(5/2) + 2000*q^(3/2) + 2164*q^(1/2) + 2131*q^(-1/2) + 1820*q^(-3/2) + 1392*q^(-5/2) + 920*q^(-7/2) + 576*q^(-9/2) + 318*q^(-11/2) + 181*q^(-13/2) + 88*q^(-15/2) + 42*q^(-17/2) + 16*q^(-19/2) + 8*q^(-21/2))*x1^(3/2)*x2^(17/2) + (-28*q^(27/2) - 56*q^(25/2) - 180*q^(23/2) - 348*q^(21/2) - 760*q^(19/2) - 1412*q^(17/2) - 2644*q^(15/2) - 4220*q^(13/2) - 6308*q^(11/2) - 8172*q^(9/2) - 9648*q^(7/2) - 9848*q^(5/2) - 9124*q^(3/2) - 7504*q^(1/2) - 5652*q^(-1/2) - 3792*q^(-3/2) - 2360*q^(-5/2) - 1312*q^(-7/2) - 692*q^(-9/2) - 324*q^(-11/2) - 144*q^(-13/2) - 52*q^(-15/2) - 20*q^(-17/2) - 4*q^(-19/2))*x1^(5/2)*x2^(17/2) + (28*q^(37/2) + 56*q^(35/2) + 140*q^(33/2) + 320*q^(31/2) + 648*q^(29/2) + 1228*q^(27/2) + 2336*q^(25/2) + 4016*q^(23/2) + 6688*q^(21/2) + 10204*q^(19/2) + 14368*q^(17/2) + 18268*q^(15/2) + 21346*q^(13/2) + 22388*q^(11/2) + 21562*q^(9/2) + 18808*q^(7/2) + 15120*q^(5/2) + 11054*q^(3/2) + 7494*q^(1/2) + 4592*q^(-1/2) + 2626*q^(-3/2) + 1340*q^(-5/2) + 638*q^(-7/2) + 258*q^(-9/2) + 100*q^(-11/2) + 26*q^(-13/2) + 8*q^(-15/2))*x1^(7/2)*x2^(17/2) + (-28*q^(45/2) - 56*q^(43/2) - 140*q^(41/2) - 300*q^(39/2) - 632*q^(37/2) - 1176*q^(35/2) - 2228*q^(33/2) - 3812*q^(31/2) - 6444*q^(29/2) - 9960*q^(27/2) - 14492*q^(25/2) - 19332*q^(23/2) - 24100*q^(21/2) - 27360*q^(19/2) - 28932*q^(17/2) - 28112*q^(15/2) - 25384*q^(13/2) - 21128*q^(11/2) - 16400*q^(9/2) - 11712*q^(7/2) - 7796*q^(5/2) - 4756*q^(3/2) - 2680*q^(1/2) - 1364*q^(-1/2) - 636*q^(-3/2) - 252*q^(-5/2) - 88*q^(-7/2) - 24*q^(-9/2) - 4*q^(-11/2))*x1^(9/2)*x2^(17/2) + (28*q^(51/2) + 56*q^(49/2) + 160*q^(47/2) + 312*q^(45/2) + 648*q^(43/2) + 1232*q^(41/2) + 2272*q^(39/2) + 3768*q^(37/2) + 6024*q^(35/2) + 8848*q^(33/2) + 12300*q^(31/2) + 15624*q^(29/2) + 18741*q^(27/2) + 20816*q^(25/2) + 21752*q^(23/2) + 21054*q^(21/2) + 19240*q^(19/2) + 16318*q^(17/2) + 13057*q^(15/2) + 9664*q^(13/2) + 6740*q^(11/2) + 4312*q^(9/2) + 2597*q^(7/2) + 1398*q^(5/2) + 704*q^(3/2) + 302*q^(1/2) + 120*q^(-1/2) + 32*q^(-3/2) + 9*q^(-5/2))*x1^(11/2)*x2^(17/2) + (-28*q^(55/2) - 76*q^(53/2) - 184*q^(51/2) - 376*q^(49/2) - 720*q^(47/2) - 1264*q^(45/2) - 2132*q^(43/2) - 3116*q^(41/2) - 4380*q^(39/2) - 5700*q^(37/2) - 7028*q^(35/2) - 8032*q^(33/2) - 8716*q^(31/2) - 8848*q^(29/2) - 8556*q^(27/2) - 7744*q^(25/2) - 6636*q^(23/2) - 5332*q^(21/2) - 4056*q^(19/2) - 2868*q^(17/2) - 1908*q^(15/2) - 1168*q^(13/2) - 664*q^(11/2) - 340*q^(9/2) - 156*q^(7/2) - 60*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(13/2)*x2^(17/2) + (64*q^(57/2) + 96*q^(55/2) + 196*q^(53/2) + 312*q^(51/2) + 500*q^(49/2) + 688*q^(47/2) + 944*q^(45/2) + 1112*q^(43/2) + 1336*q^(41/2) + 1456*q^(39/2) + 1552*q^(37/2) + 1512*q^(35/2) + 1460*q^(33/2) + 1280*q^(31/2) + 1112*q^(29/2) + 880*q^(27/2) + 680*q^(25/2) + 472*q^(23/2) + 328*q^(21/2) + 192*q^(19/2) + 116*q^(17/2) + 56*q^(15/2) + 28*q^(13/2) + 8*q^(11/2) + 4*q^(9/2))*x1^(15/2)*x2^(17/2) + (-165*q^(1/2) - 168*q^(-1/2) - 259*q^(-3/2) - 290*q^(-5/2) - 330*q^(-7/2) - 280*q^(-9/2) - 255*q^(-11/2) - 162*q^(-13/2) - 135*q^(-15/2) - 90*q^(-17/2) - 68*q^(-19/2) - 38*q^(-21/2) - 34*q^(-23/2) - 14*q^(-25/2) - 8*q^(-27/2) - 6*q^(-29/2) - 2*q^(-31/2))*x1^(1/2)*x2^(19/2) + (32*q^(17/2) + 112*q^(15/2) + 292*q^(13/2) + 624*q^(11/2) + 1188*q^(9/2) + 2020*q^(7/2) + 3124*q^(5/2) + 4284*q^(3/2) + 4956*q^(1/2) + 5264*q^(-1/2) + 5036*q^(-3/2) + 4384*q^(-5/2) + 3456*q^(-7/2) + 2532*q^(-9/2) + 1704*q^(-11/2) + 1120*q^(-13/2) + 696*q^(-15/2) + 416*q^(-17/2) + 236*q^(-19/2) + 136*q^(-21/2) + 64*q^(-23/2) + 32*q^(-25/2) + 16*q^(-27/2) + 4*q^(-29/2))*x1^(3/2)*x2^(19/2) + (-32*q^(31/2) - 64*q^(29/2) - 208*q^(27/2) - 404*q^(25/2) - 892*q^(23/2) - 1604*q^(21/2) - 3084*q^(19/2) - 5292*q^(17/2) - 8822*q^(15/2) - 13226*q^(13/2) - 18656*q^(11/2) - 23734*q^(9/2) - 27990*q^(7/2) - 29704*q^(5/2) - 29174*q^(3/2) - 26202*q^(1/2) - 21918*q^(-1/2) - 16846*q^(-3/2) - 12172*q^(-5/2) - 8130*q^(-7/2) - 5172*q^(-9/2) - 3066*q^(-11/2) - 1752*q^(-13/2) - 922*q^(-15/2) - 478*q^(-17/2) - 222*q^(-19/2) - 100*q^(-21/2) - 42*q^(-23/2) - 14*q^(-25/2) - 2*q^(-27/2))*x1^(5/2)*x2^(19/2) + (32*q^(43/2) + 64*q^(41/2) + 160*q^(39/2) + 368*q^(37/2) + 724*q^(35/2) + 1380*q^(33/2) + 2584*q^(31/2) + 4572*q^(29/2) + 7828*q^(27/2) + 13040*q^(25/2) + 20588*q^(23/2) + 30972*q^(21/2) + 43716*q^(19/2) + 57648*q^(17/2) + 70640*q^(15/2) + 80724*q^(13/2) + 85420*q^(11/2) + 84320*q^(9/2) + 77464*q^(7/2) + 66588*q^(5/2) + 53488*q^(3/2) + 40384*q^(1/2) + 28528*q^(-1/2) + 19000*q^(-3/2) + 11864*q^(-5/2) + 6984*q^(-7/2) + 3840*q^(-9/2) + 2000*q^(-11/2) + 952*q^(-13/2) + 428*q^(-15/2) + 176*q^(-17/2) + 64*q^(-19/2) + 20*q^(-21/2) + 4*q^(-23/2))*x1^(7/2)*x2^(19/2) + (-32*q^(53/2) - 64*q^(51/2) - 160*q^(49/2) - 320*q^(47/2) - 712*q^(45/2) - 1276*q^(43/2) - 2412*q^(41/2) - 4200*q^(39/2) - 7319*q^(37/2) - 12090*q^(35/2) - 19715*q^(33/2) - 30358*q^(31/2) - 45279*q^(29/2) - 63528*q^(27/2) - 84638*q^(25/2) - 105818*q^(23/2) - 125008*q^(21/2) - 138210*q^(19/2) - 144249*q^(17/2) - 141364*q^(15/2) - 130790*q^(13/2) - 113918*q^(11/2) - 93895*q^(9/2) - 72892*q^(7/2) - 53621*q^(5/2) - 37154*q^(3/2) - 24341*q^(1/2) - 14980*q^(-1/2) - 8705*q^(-3/2) - 4690*q^(-5/2) - 2371*q^(-7/2) - 1100*q^(-9/2) - 464*q^(-11/2) - 172*q^(-13/2) - 59*q^(-15/2) - 14*q^(-17/2) - 2*q^(-19/2))*x1^(9/2)*x2^(19/2) + (32*q^(61/2) + 64*q^(59/2) + 160*q^(57/2) + 344*q^(55/2) + 680*q^(53/2) + 1296*q^(51/2) + 2388*q^(49/2) + 4220*q^(47/2) + 7180*q^(45/2) + 11932*q^(43/2) + 19084*q^(41/2) + 29328*q^(39/2) + 42992*q^(37/2) + 60116*q^(35/2) + 79772*q^(33/2) + 100688*q^(31/2) + 120152*q^(29/2) + 136188*q^(27/2) + 146324*q^(25/2) + 149340*q^(23/2) + 144524*q^(21/2) + 133096*q^(19/2) + 116344*q^(17/2) + 96800*q^(15/2) + 76472*q^(13/2) + 57464*q^(11/2) + 40912*q^(9/2) + 27676*q^(7/2) + 17648*q^(5/2) + 10628*q^(3/2) + 5992*q^(1/2) + 3156*q^(-1/2) + 1520*q^(-3/2) + 676*q^(-5/2) + 264*q^(-7/2) + 88*q^(-9/2) + 24*q^(-11/2) + 4*q^(-13/2))*x1^(11/2)*x2^(19/2) + (-32*q^(67/2) - 64*q^(65/2) - 184*q^(63/2) - 360*q^(61/2) - 752*q^(59/2) - 1352*q^(57/2) - 2570*q^(55/2) - 4416*q^(53/2) - 7460*q^(51/2) - 11800*q^(49/2) - 18100*q^(47/2) - 26216*q^(45/2) - 36526*q^(43/2) - 47930*q^(41/2) - 60334*q^(39/2) - 72166*q^(37/2) - 82612*q^(35/2) - 89966*q^(33/2) - 93830*q^(31/2) - 93300*q^(29/2) - 88916*q^(27/2) - 80864*q^(25/2) - 70412*q^(23/2) - 58500*q^(21/2) - 46520*q^(19/2) - 35224*q^(17/2) - 25464*q^(15/2) - 17472*q^(13/2) - 11382*q^(11/2) - 6988*q^(9/2) - 4044*q^(7/2) - 2172*q^(5/2) - 1082*q^(3/2) - 486*q^(1/2) - 194*q^(-1/2) - 66*q^(-3/2) - 18*q^(-5/2) - 2*q^(-7/2))*x1^(13/2)*x2^(19/2) + (32*q^(71/2) + 88*q^(69/2) + 216*q^(67/2) + 448*q^(65/2) + 872*q^(63/2) + 1560*q^(61/2) + 2688*q^(59/2) + 4392*q^(57/2) + 6584*q^(55/2) + 9468*q^(53/2) + 12940*q^(51/2) + 16896*q^(49/2) + 21052*q^(47/2) + 25116*q^(45/2) + 28584*q^(43/2) + 31356*q^(41/2) + 32964*q^(39/2) + 33316*q^(37/2) + 32296*q^(35/2) + 30148*q^(33/2) + 26960*q^(31/2) + 23220*q^(29/2) + 19156*q^(27/2) + 15152*q^(25/2) + 11452*q^(23/2) + 8292*q^(21/2) + 5692*q^(19/2) + 3728*q^(17/2) + 2296*q^(15/2) + 1328*q^(13/2) + 712*q^(11/2) + 356*q^(9/2) + 156*q^(7/2) + 60*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(15/2)*x2^(19/2) + (-81*q^(73/2) - 126*q^(71/2) - 265*q^(69/2) - 438*q^(67/2) - 732*q^(65/2) - 1068*q^(63/2) - 1573*q^(61/2) - 2074*q^(59/2) - 2673*q^(57/2) - 3262*q^(55/2) - 3881*q^(53/2) - 4364*q^(51/2) - 4813*q^(49/2) - 5026*q^(47/2) - 5109*q^(45/2) - 5002*q^(43/2) - 4738*q^(41/2) - 4298*q^(39/2) - 3789*q^(37/2) - 3194*q^(35/2) - 2597*q^(33/2) - 2028*q^(31/2) - 1521*q^(29/2) - 1078*q^(27/2) - 737*q^(25/2) - 474*q^(23/2) - 285*q^(21/2) - 164*q^(19/2) - 84*q^(17/2) - 38*q^(15/2) - 17*q^(13/2) - 6*q^(11/2) - q^(9/2))*x1^(17/2)*x2^(19/2)
(-1/2, -3/2) (1, 1) x1^(1/2)x2^(3/2) q^(1/2)
{"0": [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], "1": [1, -1, 1, -1]}
(-q^(1/2))*x1^(1/2)*x2^(3/2) + (-4*q^(1/2))*x1^(1/2)*x2^(5/2) + (4*q^(3/2))*x1^(3/2)*x2^(5/2) + (-10*q^(1/2) - 2*q^(-1/2))*x1^(1/2)*x2^(7/2) + (8*q^(5/2) + 16*q^(3/2) + 4*q^(1/2))*x1^(3/2)*x2^(7/2) + (-9*q^(7/2) - 6*q^(5/2) - q^(3/2))*x1^(5/2)*x2^(7/2) + (-20*q^(1/2) - 8*q^(-1/2) - 4*q^(-3/2))*x1^(1/2)*x2^(9/2) + (12*q^(7/2) + 32*q^(5/2) + 52*q^(3/2) + 24*q^(1/2) + 9*q^(-1/2))*x1^(3/2)*x2^(9/2) + (-12*q^(11/2) - 28*q^(9/2) - 56*q^(7/2) - 40*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(5/2)*x2^(9/2) + (16*q^(13/2) + 16*q^(11/2) + 20*q^(9/2) + 8*q^(7/2) + 4*q^(5/2))*x1^(7/2)*x2^(9/2) + (-35*q^(1/2) - 20*q^(-1/2) - 17*q^(-3/2) - 6*q^(-5/2) - 2*q^(-7/2))*x1^(1/2)*x2^(11/2) + (16*q^(9/2) + 48*q^(7/2) + 100*q^(5/2) + 144*q^(3/2) + 100*q^(1/2) + 56*q^(-1/2) + 20*q^(-3/2) + 4*q^(-5/2))*x1^(3/2)*x2^(11/2) + (-16*q^(15/2) - 32*q^(13/2) - 106*q^(11/2) - 176*q^(9/2) - 244*q^(7/2) - 202*q^(5/2) - 130*q^(3/2) - 58*q^(1/2) - 18*q^(-1/2) - 2*q^(-3/2))*x1^(5/2)*x2^(11/2) + (16*q^(19/2) + 40*q^(17/2) + 88*q^(15/2) + 160*q^(13/2) + 176*q^(11/2) + 164*q^(9/2) + 108*q^(7/2) + 56*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(7/2)*x2^(11/2) + (-25*q^(21/2) - 30*q^(19/2) - 49*q^(17/2) - 54*q^(15/2) - 44*q^(13/2) - 30*q^(11/2) - 17*q^(9/2) - 6*q^(7/2) - q^(5/2))*x1^(9/2)*x2^(11/2) + (-56*q^(1/2) - 40*q^(-1/2) - 44*q^(-3/2) - 28*q^(-5/2) - 16*q^(-7/2) - 4*q^(-9/2) - 4*q^(-11/2))*x1^(1/2)*x2^(13/2) + (20*q^(11/2) + 64*q^(9/2) + 148*q^(7/2) + 264*q^(5/2) + 372*q^(3/2) + 316*q^(1/2) + 238*q^(-1/2) + 132*q^(-3/2) + 60*q^(-5/2) + 18*q^(-7/2) + 8*q^(-9/2))*x1^(3/2)*x2^(13/2) + (-20*q^(19/2) - 40*q^(17/2) - 124*q^(15/2) - 256*q^(13/2) - 516*q^(11/2) - 736*q^(9/2) - 920*q^(7/2) - 832*q^(5/2) - 636*q^(3/2) - 384*q^(1/2) - 196*q^(-1/2) - 72*q^(-3/2) - 24*q^(-5/2) - 4*q^(-7/2))*x1^(5/2)*x2^(13/2) + (20*q^(25/2) + 40*q^(23/2) + 112*q^(21/2) + 248*q^(19/2) + 484*q^(17/2) + 744*q^(15/2) + 1028*q^(13/2) + 1080*q^(11/2) + 1001*q^(9/2) + 744*q^(7/2) + 484*q^(5/2) + 246*q^(3/2) + 112*q^(1/2) + 32*q^(-1/2) + 9*q^(-3/2))*x1^(7/2)*x2^(13/2) + (-20*q^(29/2) - 52*q^(27/2) - 120*q^(25/2) - 232*q^(23/2) - 416*q^(21/2) - 532*q^(19/2) - 644*q^(17/2) - 640*q^(15/2) - 552*q^(13/2) - 404*q^(11/2) - 264*q^(9/2) - 136*q^(7/2) - 60*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(9/2)*x2^(13/2) + (36*q^(31/2) + 48*q^(29/2) + 88*q^(27/2) + 120*q^(25/2) + 156*q^(23/2) + 144*q^(21/2) + 148*q^(19/2) + 112*q^(17/2) + 84*q^(15/2) + 48*q^(13/2) + 28*q^(11/2) + 8*q^(9/2) + 4*q^(7/2))*x1^(11/2)*x2^(13/2) + (-84*q^(1/2) - 70*q^(-1/2) - 90*q^(-3/2) - 76*q^(-5/2) - 62*q^(-7/2) - 28*q^(-9/2) - 22*q^(-11/2) - 8*q^(-13/2) - 6*q^(-15/2) - 2*q^(-17/2))*x1^(1/2)*x2^(15/2) + (24*q^(13/2) + 80*q^(11/2) + 196*q^(9/2) + 384*q^(7/2) + 644*q^(5/2) + 884*q^(3/2) + 876*q^(1/2) + 768*q^(-1/2) + 560*q^(-3/2) + 348*q^(-5/2) + 180*q^(-7/2) + 88*q^(-9/2) + 36*q^(-11/2) + 16*q^(-13/2) + 4*q^(-15/2))*x1^(3/2)*x2^(15/2) + (-24*q^(23/2) - 48*q^(21/2) - 152*q^(19/2) - 292*q^(17/2) - 663*q^(15/2) - 1174*q^(13/2) - 1935*q^(11/2) - 2596*q^(9/2) - 3103*q^(7/2) - 3012*q^(5/2) - 2574*q^(3/2) - 1872*q^(1/2) - 1211*q^(-1/2) - 660*q^(-3/2) - 326*q^(-5/2) - 132*q^(-7/2) - 51*q^(-9/2) - 14*q^(-11/2) - 2*q^(-13/2))*x1^(5/2)*x2^(15/2) + (24*q^(31/2) + 48*q^(29/2) + 120*q^(27/2) + 288*q^(25/2) + 572*q^(23/2) + 1100*q^(21/2) + 1932*q^(19/2) + 3020*q^(17/2) + 4132*q^(15/2) + 5048*q^(13/2) + 5300*q^(11/2) + 4960*q^(9/2) + 4064*q^(7/2) + 2972*q^(5/2) + 1908*q^(3/2) + 1096*q^(1/2) + 540*q^(-1/2) + 236*q^(-3/2) + 84*q^(-5/2) + 24*q^(-7/2) + 4*q^(-9/2))*x1^(7/2)*x2^(15/2) + (-24*q^(37/2) - 48*q^(35/2) - 136*q^(33/2) - 264*q^(31/2) - 594*q^(29/2) - 1064*q^(27/2) - 1820*q^(25/2) - 2720*q^(23/2) - 3764*q^(21/2) - 4490*q^(19/2) - 4920*q^(17/2) - 4786*q^(15/2) - 4218*q^(13/2) - 3322*q^(11/2) - 2382*q^(9/2) - 1512*q^(7/2) - 866*q^(5/2) - 430*q^(3/2) - 186*q^(1/2) - 66*q^(-1/2) - 18*q^(-3/2) - 2*q^(-5/2))*x1^(9/2)*x2^(15/2) + (24*q^(41/2) + 64*q^(39/2) + 152*q^(37/2) + 304*q^(35/2) + 568*q^(33/2) + 968*q^(31/2) + 1372*q^(29/2) + 1816*q^(27/2) + 2180*q^(25/2) + 2384*q^(23/2) + 2340*q^(21/2) + 2140*q^(19/2) + 1768*q^(17/2) + 1344*q^(15/2) + 916*q^(13/2) + 568*q^(11/2) + 312*q^(9/2) + 152*q^(7/2) + 60*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(11/2)*x2^(15/2) + (-49*q^(43/2) - 70*q^(41/2) - 137*q^(39/2) - 206*q^(37/2) - 308*q^(35/2) - 380*q^(33/2) - 445*q^(31/2) - 468*q^(29/2) - 477*q^(27/2) - 432*q^(25/2) - 365*q^(23/2) - 284*q^(21/2) - 205*q^(19/2) - 132*q^(17/2) - 76*q^(15/2) - 38*q^(13/2) - 17*q^(11/2) - 6*q^(9/2) - q^(7/2))*x1^(13/2)*x2^(15/2) + (-120*q^(1/2) - 112*q^(-1/2) - 160*q^(-3/2) - 160*q^(-5/2) - 160*q^(-7/2) - 108*q^(-9/2) - 84*q^(-11/2) - 44*q^(-13/2) - 36*q^(-15/2) - 20*q^(-17/2) - 12*q^(-19/2) - 4*q^(-21/2) - 4*q^(-23/2))*x1^(1/2)*x2^(17/2) + (28*q^(15/2) + 96*q^(13/2) + 244*q^(11/2) + 504*q^(9/2) + 916*q^(7/2) + 1452*q^(5/2) + 2000*q^(3/2) + 2164*q^(1/2) + 2131*q^(-1/2) + 1820*q^(-3/2) + 1392*q^(-5/2) + 920*q^(-7/2) + 576*q^(-9/2) + 318*q^(-11/2) + 181*q^(-13/2) + 88*q^(-15/2) + 42*q^(-17/2) + 16*q^(-19/2) + 8*q^(-21/2))*x1^(3/2)*x2^(17/2) + (-28*q^(27/2) - 56*q^(25/2) - 180*q^(23/2) - 348*q^(21/2) - 760*q^(19/2) - 1412*q^(17/2) - 2644*q^(15/2) - 4220*q^(13/2) - 6308*q^(11/2) - 8172*q^(9/2) - 9648*q^(7/2) - 9848*q^(5/2) - 9124*q^(3/2) - 7504*q^(1/2) - 5652*q^(-1/2) - 3792*q^(-3/2) - 2360*q^(-5/2) - 1312*q^(-7/2) - 692*q^(-9/2) - 324*q^(-11/2) - 144*q^(-13/2) - 52*q^(-15/2) - 20*q^(-17/2) - 4*q^(-19/2))*x1^(5/2)*x2^(17/2) + (28*q^(37/2) + 56*q^(35/2) + 140*q^(33/2) + 320*q^(31/2) + 648*q^(29/2) + 1228*q^(27/2) + 2336*q^(25/2) + 4016*q^(23/2) + 6688*q^(21/2) + 10204*q^(19/2) + 14368*q^(17/2) + 18268*q^(15/2) + 21346*q^(13/2) + 22388*q^(11/2) + 21562*q^(9/2) + 18808*q^(7/2) + 15120*q^(5/2) + 11054*q^(3/2) + 7494*q^(1/2) + 4592*q^(-1/2) + 2626*q^(-3/2) + 1340*q^(-5/2) + 638*q^(-7/2) + 258*q^(-9/2) + 100*q^(-11/2) + 26*q^(-13/2) + 8*q^(-15/2))*x1^(7/2)*x2^(17/2) + (-28*q^(45/2) - 56*q^(43/2) - 140*q^(41/2) - 300*q^(39/2) - 632*q^(37/2) - 1176*q^(35/2) - 2228*q^(33/2) - 3812*q^(31/2) - 6444*q^(29/2) - 9960*q^(27/2) - 14492*q^(25/2) - 19332*q^(23/2) - 24100*q^(21/2) - 27360*q^(19/2) - 28932*q^(17/2) - 28112*q^(15/2) - 25384*q^(13/2) - 21128*q^(11/2) - 16400*q^(9/2) - 11712*q^(7/2) - 7796*q^(5/2) - 4756*q^(3/2) - 2680*q^(1/2) - 1364*q^(-1/2) - 636*q^(-3/2) - 252*q^(-5/2) - 88*q^(-7/2) - 24*q^(-9/2) - 4*q^(-11/2))*x1^(9/2)*x2^(17/2) + (28*q^(51/2) + 56*q^(49/2) + 160*q^(47/2) + 312*q^(45/2) + 648*q^(43/2) + 1232*q^(41/2) + 2272*q^(39/2) + 3768*q^(37/2) + 6024*q^(35/2) + 8848*q^(33/2) + 12300*q^(31/2) + 15624*q^(29/2) + 18741*q^(27/2) + 20816*q^(25/2) + 21752*q^(23/2) + 21054*q^(21/2) + 19240*q^(19/2) + 16318*q^(17/2) + 13057*q^(15/2) + 9664*q^(13/2) + 6740*q^(11/2) + 4312*q^(9/2) + 2597*q^(7/2) + 1398*q^(5/2) + 704*q^(3/2) + 302*q^(1/2) + 120*q^(-1/2) + 32*q^(-3/2) + 9*q^(-5/2))*x1^(11/2)*x2^(17/2) + (-28*q^(55/2) - 76*q^(53/2) - 184*q^(51/2) - 376*q^(49/2) - 720*q^(47/2) - 1264*q^(45/2) - 2132*q^(43/2) - 3116*q^(41/2) - 4380*q^(39/2) - 5700*q^(37/2) - 7028*q^(35/2) - 8032*q^(33/2) - 8716*q^(31/2) - 8848*q^(29/2) - 8556*q^(27/2) - 7744*q^(25/2) - 6636*q^(23/2) - 5332*q^(21/2) - 4056*q^(19/2) - 2868*q^(17/2) - 1908*q^(15/2) - 1168*q^(13/2) - 664*q^(11/2) - 340*q^(9/2) - 156*q^(7/2) - 60*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(13/2)*x2^(17/2) + (64*q^(57/2) + 96*q^(55/2) + 196*q^(53/2) + 312*q^(51/2) + 500*q^(49/2) + 688*q^(47/2) + 944*q^(45/2) + 1112*q^(43/2) + 1336*q^(41/2) + 1456*q^(39/2) + 1552*q^(37/2) + 1512*q^(35/2) + 1460*q^(33/2) + 1280*q^(31/2) + 1112*q^(29/2) + 880*q^(27/2) + 680*q^(25/2) + 472*q^(23/2) + 328*q^(21/2) + 192*q^(19/2) + 116*q^(17/2) + 56*q^(15/2) + 28*q^(13/2) + 8*q^(11/2) + 4*q^(9/2))*x1^(15/2)*x2^(17/2) + (-165*q^(1/2) - 168*q^(-1/2) - 259*q^(-3/2) - 290*q^(-5/2) - 330*q^(-7/2) - 280*q^(-9/2) - 255*q^(-11/2) - 162*q^(-13/2) - 135*q^(-15/2) - 90*q^(-17/2) - 68*q^(-19/2) - 38*q^(-21/2) - 34*q^(-23/2) - 14*q^(-25/2) - 8*q^(-27/2) - 6*q^(-29/2) - 2*q^(-31/2))*x1^(1/2)*x2^(19/2) + (32*q^(17/2) + 112*q^(15/2) + 292*q^(13/2) + 624*q^(11/2) + 1188*q^(9/2) + 2020*q^(7/2) + 3124*q^(5/2) + 4284*q^(3/2) + 4956*q^(1/2) + 5264*q^(-1/2) + 5036*q^(-3/2) + 4384*q^(-5/2) + 3456*q^(-7/2) + 2532*q^(-9/2) + 1704*q^(-11/2) + 1120*q^(-13/2) + 696*q^(-15/2) + 416*q^(-17/2) + 236*q^(-19/2) + 136*q^(-21/2) + 64*q^(-23/2) + 32*q^(-25/2) + 16*q^(-27/2) + 4*q^(-29/2))*x1^(3/2)*x2^(19/2) + (-32*q^(31/2) - 64*q^(29/2) - 208*q^(27/2) - 404*q^(25/2) - 892*q^(23/2) - 1604*q^(21/2) - 3084*q^(19/2) - 5292*q^(17/2) - 8822*q^(15/2) - 13226*q^(13/2) - 18656*q^(11/2) - 23734*q^(9/2) - 27990*q^(7/2) - 29704*q^(5/2) - 29174*q^(3/2) - 26202*q^(1/2) - 21918*q^(-1/2) - 16846*q^(-3/2) - 12172*q^(-5/2) - 8130*q^(-7/2) - 5172*q^(-9/2) - 3066*q^(-11/2) - 1752*q^(-13/2) - 922*q^(-15/2) - 478*q^(-17/2) - 222*q^(-19/2) - 100*q^(-21/2) - 42*q^(-23/2) - 14*q^(-25/2) - 2*q^(-27/2))*x1^(5/2)*x2^(19/2) + (32*q^(43/2) + 64*q^(41/2) + 160*q^(39/2) + 368*q^(37/2) + 724*q^(35/2) + 1380*q^(33/2) + 2584*q^(31/2) + 4572*q^(29/2) + 7828*q^(27/2) + 13040*q^(25/2) + 20588*q^(23/2) + 30972*q^(21/2) + 43716*q^(19/2) + 57648*q^(17/2) + 70640*q^(15/2) + 80724*q^(13/2) + 85420*q^(11/2) + 84320*q^(9/2) + 77464*q^(7/2) + 66588*q^(5/2) + 53488*q^(3/2) + 40384*q^(1/2) + 28528*q^(-1/2) + 19000*q^(-3/2) + 11864*q^(-5/2) + 6984*q^(-7/2) + 3840*q^(-9/2) + 2000*q^(-11/2) + 952*q^(-13/2) + 428*q^(-15/2) + 176*q^(-17/2) + 64*q^(-19/2) + 20*q^(-21/2) + 4*q^(-23/2))*x1^(7/2)*x2^(19/2) + (-32*q^(53/2) - 64*q^(51/2) - 160*q^(49/2) - 320*q^(47/2) - 712*q^(45/2) - 1276*q^(43/2) - 2412*q^(41/2) - 4200*q^(39/2) - 7319*q^(37/2) - 12090*q^(35/2) - 19715*q^(33/2) - 30358*q^(31/2) - 45279*q^(29/2) - 63528*q^(27/2) - 84638*q^(25/2) - 105818*q^(23/2) - 125008*q^(21/2) - 138210*q^(19/2) - 144249*q^(17/2) - 141364*q^(15/2) - 130790*q^(13/2) - 113918*q^(11/2) - 93895*q^(9/2) - 72892*q^(7/2) - 53621*q^(5/2) - 37154*q^(3/2) - 24341*q^(1/2) - 14980*q^(-1/2) - 8705*q^(-3/2) - 4690*q^(-5/2) - 2371*q^(-7/2) - 1100*q^(-9/2) - 464*q^(-11/2) - 172*q^(-13/2) - 59*q^(-15/2) - 14*q^(-17/2) - 2*q^(-19/2))*x1^(9/2)*x2^(19/2) + (32*q^(61/2) + 64*q^(59/2) + 160*q^(57/2) + 344*q^(55/2) + 680*q^(53/2) + 1296*q^(51/2) + 2388*q^(49/2) + 4220*q^(47/2) + 7180*q^(45/2) + 11932*q^(43/2) + 19084*q^(41/2) + 29328*q^(39/2) + 42992*q^(37/2) + 60116*q^(35/2) + 79772*q^(33/2) + 100688*q^(31/2) + 120152*q^(29/2) + 136188*q^(27/2) + 146324*q^(25/2) + 149340*q^(23/2) + 144524*q^(21/2) + 133096*q^(19/2) + 116344*q^(17/2) + 96800*q^(15/2) + 76472*q^(13/2) + 57464*q^(11/2) + 40912*q^(9/2) + 27676*q^(7/2) + 17648*q^(5/2) + 10628*q^(3/2) + 5992*q^(1/2) + 3156*q^(-1/2) + 1520*q^(-3/2) + 676*q^(-5/2) + 264*q^(-7/2) + 88*q^(-9/2) + 24*q^(-11/2) + 4*q^(-13/2))*x1^(11/2)*x2^(19/2) + (-32*q^(67/2) - 64*q^(65/2) - 184*q^(63/2) - 360*q^(61/2) - 752*q^(59/2) - 1352*q^(57/2) - 2570*q^(55/2) - 4416*q^(53/2) - 7460*q^(51/2) - 11800*q^(49/2) - 18100*q^(47/2) - 26216*q^(45/2) - 36526*q^(43/2) - 47930*q^(41/2) - 60334*q^(39/2) - 72166*q^(37/2) - 82612*q^(35/2) - 89966*q^(33/2) - 93830*q^(31/2) - 93300*q^(29/2) - 88916*q^(27/2) - 80864*q^(25/2) - 70412*q^(23/2) - 58500*q^(21/2) - 46520*q^(19/2) - 35224*q^(17/2) - 25464*q^(15/2) - 17472*q^(13/2) - 11382*q^(11/2) - 6988*q^(9/2) - 4044*q^(7/2) - 2172*q^(5/2) - 1082*q^(3/2) - 486*q^(1/2) - 194*q^(-1/2) - 66*q^(-3/2) - 18*q^(-5/2) - 2*q^(-7/2))*x1^(13/2)*x2^(19/2) + (32*q^(71/2) + 88*q^(69/2) + 216*q^(67/2) + 448*q^(65/2) + 872*q^(63/2) + 1560*q^(61/2) + 2688*q^(59/2) + 4392*q^(57/2) + 6584*q^(55/2) + 9468*q^(53/2) + 12940*q^(51/2) + 16896*q^(49/2) + 21052*q^(47/2) + 25116*q^(45/2) + 28584*q^(43/2) + 31356*q^(41/2) + 32964*q^(39/2) + 33316*q^(37/2) + 32296*q^(35/2) + 30148*q^(33/2) + 26960*q^(31/2) + 23220*q^(29/2) + 19156*q^(27/2) + 15152*q^(25/2) + 11452*q^(23/2) + 8292*q^(21/2) + 5692*q^(19/2) + 3728*q^(17/2) + 2296*q^(15/2) + 1328*q^(13/2) + 712*q^(11/2) + 356*q^(9/2) + 156*q^(7/2) + 60*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(15/2)*x2^(19/2) + (-81*q^(73/2) - 126*q^(71/2) - 265*q^(69/2) - 438*q^(67/2) - 732*q^(65/2) - 1068*q^(63/2) - 1573*q^(61/2) - 2074*q^(59/2) - 2673*q^(57/2) - 3262*q^(55/2) - 3881*q^(53/2) - 4364*q^(51/2) - 4813*q^(49/2) - 5026*q^(47/2) - 5109*q^(45/2) - 5002*q^(43/2) - 4738*q^(41/2) - 4298*q^(39/2) - 3789*q^(37/2) - 3194*q^(35/2) - 2597*q^(33/2) - 2028*q^(31/2) - 1521*q^(29/2) - 1078*q^(27/2) - 737*q^(25/2) - 474*q^(23/2) - 285*q^(21/2) - 164*q^(19/2) - 84*q^(17/2) - 38*q^(15/2) - 17*q^(13/2) - 6*q^(11/2) - q^(9/2))*x1^(17/2)*x2^(19/2)
(1/2, 3/2) x1^(-1/2)x2^(-3/2) q^(1/2)
(-q^(1/2))*x1^(-1/2)*x2^(-3/2) + (-4*q^(1/2))*x1^(-1/2)*x2^(-5/2) + (4*q^(3/2))*x1^(-3/2)*x2^(-5/2) + (-10*q^(1/2) - 2*q^(-1/2))*x1^(-1/2)*x2^(-7/2) + (8*q^(5/2) + 16*q^(3/2) + 4*q^(1/2))*x1^(-3/2)*x2^(-7/2) + (-9*q^(7/2) - 6*q^(5/2) - q^(3/2))*x1^(-5/2)*x2^(-7/2) + (-20*q^(1/2) - 8*q^(-1/2) - 4*q^(-3/2))*x1^(-1/2)*x2^(-9/2) + (12*q^(7/2) + 32*q^(5/2) + 52*q^(3/2) + 24*q^(1/2) + 9*q^(-1/2))*x1^(-3/2)*x2^(-9/2) + (-12*q^(11/2) - 28*q^(9/2) - 56*q^(7/2) - 40*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(-5/2)*x2^(-9/2) + (16*q^(13/2) + 16*q^(11/2) + 20*q^(9/2) + 8*q^(7/2) + 4*q^(5/2))*x1^(-7/2)*x2^(-9/2) + (-35*q^(1/2) - 20*q^(-1/2) - 17*q^(-3/2) - 6*q^(-5/2) - 2*q^(-7/2))*x1^(-1/2)*x2^(-11/2) + (16*q^(9/2) + 48*q^(7/2) + 100*q^(5/2) + 144*q^(3/2) + 100*q^(1/2) + 56*q^(-1/2) + 20*q^(-3/2) + 4*q^(-5/2))*x1^(-3/2)*x2^(-11/2) + (-16*q^(15/2) - 32*q^(13/2) - 106*q^(11/2) - 176*q^(9/2) - 244*q^(7/2) - 202*q^(5/2) - 130*q^(3/2) - 58*q^(1/2) - 18*q^(-1/2) - 2*q^(-3/2))*x1^(-5/2)*x2^(-11/2) + (16*q^(19/2) + 40*q^(17/2) + 88*q^(15/2) + 160*q^(13/2) + 176*q^(11/2) + 164*q^(9/2) + 108*q^(7/2) + 56*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(-7/2)*x2^(-11/2) + (-25*q^(21/2) - 30*q^(19/2) - 49*q^(17/2) - 54*q^(15/2) - 44*q^(13/2) - 30*q^(11/2) - 17*q^(9/2) - 6*q^(7/2) - q^(5/2))*x1^(-9/2)*x2^(-11/2) + (-56*q^(1/2) - 40*q^(-1/2) - 44*q^(-3/2) - 28*q^(-5/2) - 16*q^(-7/2) - 4*q^(-9/2) - 4*q^(-11/2))*x1^(-1/2)*x2^(-13/2) + (20*q^(11/2) + 64*q^(9/2) + 148*q^(7/2) + 264*q^(5/2) + 372*q^(3/2) + 316*q^(1/2) + 238*q^(-1/2) + 132*q^(-3/2) + 60*q^(-5/2) + 18*q^(-7/2) + 8*q^(-9/2))*x1^(-3/2)*x2^(-13/2) + (-20*q^(19/2) - 40*q^(17/2) - 124*q^(15/2) - 256*q^(13/2) - 516*q^(11/2) - 736*q^(9/2) - 920*q^(7/2) - 832*q^(5/2) - 636*q^(3/2) - 384*q^(1/2) - 196*q^(-1/2) - 72*q^(-3/2) - 24*q^(-5/2) - 4*q^(-7/2))*x1^(-5/2)*x2^(-13/2) + (20*q^(25/2) + 40*q^(23/2) + 112*q^(21/2) + 248*q^(19/2) + 484*q^(17/2) + 744*q^(15/2) + 1028*q^(13/2) + 1080*q^(11/2) + 1001*q^(9/2) + 744*q^(7/2) + 484*q^(5/2) + 246*q^(3/2) + 112*q^(1/2) + 32*q^(-1/2) + 9*q^(-3/2))*x1^(-7/2)*x2^(-13/2) + (-20*q^(29/2) - 52*q^(27/2) - 120*q^(25/2) - 232*q^(23/2) - 416*q^(21/2) - 532*q^(19/2) - 644*q^(17/2) - 640*q^(15/2) - 552*q^(13/2) - 404*q^(11/2) - 264*q^(9/2) - 136*q^(7/2) - 60*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(-9/2)*x2^(-13/2) + (36*q^(31/2) + 48*q^(29/2) + 88*q^(27/2) + 120*q^(25/2) + 156*q^(23/2) + 144*q^(21/2) + 148*q^(19/2) + 112*q^(17/2) + 84*q^(15/2) + 48*q^(13/2) + 28*q^(11/2) + 8*q^(9/2) + 4*q^(7/2))*x1^(-11/2)*x2^(-13/2) + (-84*q^(1/2) - 70*q^(-1/2) - 90*q^(-3/2) - 76*q^(-5/2) - 62*q^(-7/2) - 28*q^(-9/2) - 22*q^(-11/2) - 8*q^(-13/2) - 6*q^(-15/2) - 2*q^(-17/2))*x1^(-1/2)*x2^(-15/2) + (24*q^(13/2) + 80*q^(11/2) + 196*q^(9/2) + 384*q^(7/2) + 644*q^(5/2) + 884*q^(3/2) + 876*q^(1/2) + 768*q^(-1/2) + 560*q^(-3/2) + 348*q^(-5/2) + 180*q^(-7/2) + 88*q^(-9/2) + 36*q^(-11/2) + 16*q^(-13/2) + 4*q^(-15/2))*x1^(-3/2)*x2^(-15/2) + (-24*q^(23/2) - 48*q^(21/2) - 152*q^(19/2) - 292*q^(17/2) - 663*q^(15/2) - 1174*q^(13/2) - 1935*q^(11/2) - 2596*q^(9/2) - 3103*q^(7/2) - 3012*q^(5/2) - 2574*q^(3/2) - 1872*q^(1/2) - 1211*q^(-1/2) - 660*q^(-3/2) - 326*q^(-5/2) - 132*q^(-7/2) - 51*q^(-9/2) - 14*q^(-11/2) - 2*q^(-13/2))*x1^(-5/2)*x2^(-15/2) + (24*q^(31/2) + 48*q^(29/2) + 120*q^(27/2) + 288*q^(25/2) + 572*q^(23/2) + 1100*q^(21/2) + 1932*q^(19/2) + 3020*q^(17/2) + 4132*q^(15/2) + 5048*q^(13/2) + 5300*q^(11/2) + 4960*q^(9/2) + 4064*q^(7/2) + 2972*q^(5/2) + 1908*q^(3/2) + 1096*q^(1/2) + 540*q^(-1/2) + 236*q^(-3/2) + 84*q^(-5/2) + 24*q^(-7/2) + 4*q^(-9/2))*x1^(-7/2)*x2^(-15/2) + (-24*q^(37/2) - 48*q^(35/2) - 136*q^(33/2) - 264*q^(31/2) - 594*q^(29/2) - 1064*q^(27/2) - 1820*q^(25/2) - 2720*q^(23/2) - 3764*q^(21/2) - 4490*q^(19/2) - 4920*q^(17/2) - 4786*q^(15/2) - 4218*q^(13/2) - 3322*q^(11/2) - 2382*q^(9/2) - 1512*q^(7/2) - 866*q^(5/2) - 430*q^(3/2) - 186*q^(1/2) - 66*q^(-1/2) - 18*q^(-3/2) - 2*q^(-5/2))*x1^(-9/2)*x2^(-15/2) + (24*q^(41/2) + 64*q^(39/2) + 152*q^(37/2) + 304*q^(35/2) + 568*q^(33/2) + 968*q^(31/2) + 1372*q^(29/2) + 1816*q^(27/2) + 2180*q^(25/2) + 2384*q^(23/2) + 2340*q^(21/2) + 2140*q^(19/2) + 1768*q^(17/2) + 1344*q^(15/2) + 916*q^(13/2) + 568*q^(11/2) + 312*q^(9/2) + 152*q^(7/2) + 60*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(-11/2)*x2^(-15/2) + (-49*q^(43/2) - 70*q^(41/2) - 137*q^(39/2) - 206*q^(37/2) - 308*q^(35/2) - 380*q^(33/2) - 445*q^(31/2) - 468*q^(29/2) - 477*q^(27/2) - 432*q^(25/2) - 365*q^(23/2) - 284*q^(21/2) - 205*q^(19/2) - 132*q^(17/2) - 76*q^(15/2) - 38*q^(13/2) - 17*q^(11/2) - 6*q^(9/2) - q^(7/2))*x1^(-13/2)*x2^(-15/2) + (-120*q^(1/2) - 112*q^(-1/2) - 160*q^(-3/2) - 160*q^(-5/2) - 160*q^(-7/2) - 108*q^(-9/2) - 84*q^(-11/2) - 44*q^(-13/2) - 36*q^(-15/2) - 20*q^(-17/2) - 12*q^(-19/2) - 4*q^(-21/2) - 4*q^(-23/2))*x1^(-1/2)*x2^(-17/2) + (28*q^(15/2) + 96*q^(13/2) + 244*q^(11/2) + 504*q^(9/2) + 916*q^(7/2) + 1452*q^(5/2) + 2000*q^(3/2) + 2164*q^(1/2) + 2131*q^(-1/2) + 1820*q^(-3/2) + 1392*q^(-5/2) + 920*q^(-7/2) + 576*q^(-9/2) + 318*q^(-11/2) + 181*q^(-13/2) + 88*q^(-15/2) + 42*q^(-17/2) + 16*q^(-19/2) + 8*q^(-21/2))*x1^(-3/2)*x2^(-17/2) + (-28*q^(27/2) - 56*q^(25/2) - 180*q^(23/2) - 348*q^(21/2) - 760*q^(19/2) - 1412*q^(17/2) - 2644*q^(15/2) - 4220*q^(13/2) - 6308*q^(11/2) - 8172*q^(9/2) - 9648*q^(7/2) - 9848*q^(5/2) - 9124*q^(3/2) - 7504*q^(1/2) - 5652*q^(-1/2) - 3792*q^(-3/2) - 2360*q^(-5/2) - 1312*q^(-7/2) - 692*q^(-9/2) - 324*q^(-11/2) - 144*q^(-13/2) - 52*q^(-15/2) - 20*q^(-17/2) - 4*q^(-19/2))*x1^(-5/2)*x2^(-17/2) + (28*q^(37/2) + 56*q^(35/2) + 140*q^(33/2) + 320*q^(31/2) + 648*q^(29/2) + 1228*q^(27/2) + 2336*q^(25/2) + 4016*q^(23/2) + 6688*q^(21/2) + 10204*q^(19/2) + 14368*q^(17/2) + 18268*q^(15/2) + 21346*q^(13/2) + 22388*q^(11/2) + 21562*q^(9/2) + 18808*q^(7/2) + 15120*q^(5/2) + 11054*q^(3/2) + 7494*q^(1/2) + 4592*q^(-1/2) + 2626*q^(-3/2) + 1340*q^(-5/2) + 638*q^(-7/2) + 258*q^(-9/2) + 100*q^(-11/2) + 26*q^(-13/2) + 8*q^(-15/2))*x1^(-7/2)*x2^(-17/2) + (-28*q^(45/2) - 56*q^(43/2) - 140*q^(41/2) - 300*q^(39/2) - 632*q^(37/2) - 1176*q^(35/2) - 2228*q^(33/2) - 3812*q^(31/2) - 6444*q^(29/2) - 9960*q^(27/2) - 14492*q^(25/2) - 19332*q^(23/2) - 24100*q^(21/2) - 27360*q^(19/2) - 28932*q^(17/2) - 28112*q^(15/2) - 25384*q^(13/2) - 21128*q^(11/2) - 16400*q^(9/2) - 11712*q^(7/2) - 7796*q^(5/2) - 4756*q^(3/2) - 2680*q^(1/2) - 1364*q^(-1/2) - 636*q^(-3/2) - 252*q^(-5/2) - 88*q^(-7/2) - 24*q^(-9/2) - 4*q^(-11/2))*x1^(-9/2)*x2^(-17/2) + (28*q^(51/2) + 56*q^(49/2) + 160*q^(47/2) + 312*q^(45/2) + 648*q^(43/2) + 1232*q^(41/2) + 2272*q^(39/2) + 3768*q^(37/2) + 6024*q^(35/2) + 8848*q^(33/2) + 12300*q^(31/2) + 15624*q^(29/2) + 18741*q^(27/2) + 20816*q^(25/2) + 21752*q^(23/2) + 21054*q^(21/2) + 19240*q^(19/2) + 16318*q^(17/2) + 13057*q^(15/2) + 9664*q^(13/2) + 6740*q^(11/2) + 4312*q^(9/2) + 2597*q^(7/2) + 1398*q^(5/2) + 704*q^(3/2) + 302*q^(1/2) + 120*q^(-1/2) + 32*q^(-3/2) + 9*q^(-5/2))*x1^(-11/2)*x2^(-17/2) + (-28*q^(55/2) - 76*q^(53/2) - 184*q^(51/2) - 376*q^(49/2) - 720*q^(47/2) - 1264*q^(45/2) - 2132*q^(43/2) - 3116*q^(41/2) - 4380*q^(39/2) - 5700*q^(37/2) - 7028*q^(35/2) - 8032*q^(33/2) - 8716*q^(31/2) - 8848*q^(29/2) - 8556*q^(27/2) - 7744*q^(25/2) - 6636*q^(23/2) - 5332*q^(21/2) - 4056*q^(19/2) - 2868*q^(17/2) - 1908*q^(15/2) - 1168*q^(13/2) - 664*q^(11/2) - 340*q^(9/2) - 156*q^(7/2) - 60*q^(5/2) - 20*q^(3/2) - 4*q^(1/2))*x1^(-13/2)*x2^(-17/2) + (64*q^(57/2) + 96*q^(55/2) + 196*q^(53/2) + 312*q^(51/2) + 500*q^(49/2) + 688*q^(47/2) + 944*q^(45/2) + 1112*q^(43/2) + 1336*q^(41/2) + 1456*q^(39/2) + 1552*q^(37/2) + 1512*q^(35/2) + 1460*q^(33/2) + 1280*q^(31/2) + 1112*q^(29/2) + 880*q^(27/2) + 680*q^(25/2) + 472*q^(23/2) + 328*q^(21/2) + 192*q^(19/2) + 116*q^(17/2) + 56*q^(15/2) + 28*q^(13/2) + 8*q^(11/2) + 4*q^(9/2))*x1^(-15/2)*x2^(-17/2) + (-165*q^(1/2) - 168*q^(-1/2) - 259*q^(-3/2) - 290*q^(-5/2) - 330*q^(-7/2) - 280*q^(-9/2) - 255*q^(-11/2) - 162*q^(-13/2) - 135*q^(-15/2) - 90*q^(-17/2) - 68*q^(-19/2) - 38*q^(-21/2) - 34*q^(-23/2) - 14*q^(-25/2) - 8*q^(-27/2) - 6*q^(-29/2) - 2*q^(-31/2))*x1^(-1/2)*x2^(-19/2) + (32*q^(17/2) + 112*q^(15/2) + 292*q^(13/2) + 624*q^(11/2) + 1188*q^(9/2) + 2020*q^(7/2) + 3124*q^(5/2) + 4284*q^(3/2) + 4956*q^(1/2) + 5264*q^(-1/2) + 5036*q^(-3/2) + 4384*q^(-5/2) + 3456*q^(-7/2) + 2532*q^(-9/2) + 1704*q^(-11/2) + 1120*q^(-13/2) + 696*q^(-15/2) + 416*q^(-17/2) + 236*q^(-19/2) + 136*q^(-21/2) + 64*q^(-23/2) + 32*q^(-25/2) + 16*q^(-27/2) + 4*q^(-29/2))*x1^(-3/2)*x2^(-19/2) + (-32*q^(31/2) - 64*q^(29/2) - 208*q^(27/2) - 404*q^(25/2) - 892*q^(23/2) - 1604*q^(21/2) - 3084*q^(19/2) - 5292*q^(17/2) - 8822*q^(15/2) - 13226*q^(13/2) - 18656*q^(11/2) - 23734*q^(9/2) - 27990*q^(7/2) - 29704*q^(5/2) - 29174*q^(3/2) - 26202*q^(1/2) - 21918*q^(-1/2) - 16846*q^(-3/2) - 12172*q^(-5/2) - 8130*q^(-7/2) - 5172*q^(-9/2) - 3066*q^(-11/2) - 1752*q^(-13/2) - 922*q^(-15/2) - 478*q^(-17/2) - 222*q^(-19/2) - 100*q^(-21/2) - 42*q^(-23/2) - 14*q^(-25/2) - 2*q^(-27/2))*x1^(-5/2)*x2^(-19/2) + (32*q^(43/2) + 64*q^(41/2) + 160*q^(39/2) + 368*q^(37/2) + 724*q^(35/2) + 1380*q^(33/2) + 2584*q^(31/2) + 4572*q^(29/2) + 7828*q^(27/2) + 13040*q^(25/2) + 20588*q^(23/2) + 30972*q^(21/2) + 43716*q^(19/2) + 57648*q^(17/2) + 70640*q^(15/2) + 80724*q^(13/2) + 85420*q^(11/2) + 84320*q^(9/2) + 77464*q^(7/2) + 66588*q^(5/2) + 53488*q^(3/2) + 40384*q^(1/2) + 28528*q^(-1/2) + 19000*q^(-3/2) + 11864*q^(-5/2) + 6984*q^(-7/2) + 3840*q^(-9/2) + 2000*q^(-11/2) + 952*q^(-13/2) + 428*q^(-15/2) + 176*q^(-17/2) + 64*q^(-19/2) + 20*q^(-21/2) + 4*q^(-23/2))*x1^(-7/2)*x2^(-19/2) + (-32*q^(53/2) - 64*q^(51/2) - 160*q^(49/2) - 320*q^(47/2) - 712*q^(45/2) - 1276*q^(43/2) - 2412*q^(41/2) - 4200*q^(39/2) - 7319*q^(37/2) - 12090*q^(35/2) - 19715*q^(33/2) - 30358*q^(31/2) - 45279*q^(29/2) - 63528*q^(27/2) - 84638*q^(25/2) - 105818*q^(23/2) - 125008*q^(21/2) - 138210*q^(19/2) - 144249*q^(17/2) - 141364*q^(15/2) - 130790*q^(13/2) - 113918*q^(11/2) - 93895*q^(9/2) - 72892*q^(7/2) - 53621*q^(5/2) - 37154*q^(3/2) - 24341*q^(1/2) - 14980*q^(-1/2) - 8705*q^(-3/2) - 4690*q^(-5/2) - 2371*q^(-7/2) - 1100*q^(-9/2) - 464*q^(-11/2) - 172*q^(-13/2) - 59*q^(-15/2) - 14*q^(-17/2) - 2*q^(-19/2))*x1^(-9/2)*x2^(-19/2) + (32*q^(61/2) + 64*q^(59/2) + 160*q^(57/2) + 344*q^(55/2) + 680*q^(53/2) + 1296*q^(51/2) + 2388*q^(49/2) + 4220*q^(47/2) + 7180*q^(45/2) + 11932*q^(43/2) + 19084*q^(41/2) + 29328*q^(39/2) + 42992*q^(37/2) + 60116*q^(35/2) + 79772*q^(33/2) + 100688*q^(31/2) + 120152*q^(29/2) + 136188*q^(27/2) + 146324*q^(25/2) + 149340*q^(23/2) + 144524*q^(21/2) + 133096*q^(19/2) + 116344*q^(17/2) + 96800*q^(15/2) + 76472*q^(13/2) + 57464*q^(11/2) + 40912*q^(9/2) + 27676*q^(7/2) + 17648*q^(5/2) + 10628*q^(3/2) + 5992*q^(1/2) + 3156*q^(-1/2) + 1520*q^(-3/2) + 676*q^(-5/2) + 264*q^(-7/2) + 88*q^(-9/2) + 24*q^(-11/2) + 4*q^(-13/2))*x1^(-11/2)*x2^(-19/2) + (-32*q^(67/2) - 64*q^(65/2) - 184*q^(63/2) - 360*q^(61/2) - 752*q^(59/2) - 1352*q^(57/2) - 2570*q^(55/2) - 4416*q^(53/2) - 7460*q^(51/2) - 11800*q^(49/2) - 18100*q^(47/2) - 26216*q^(45/2) - 36526*q^(43/2) - 47930*q^(41/2) - 60334*q^(39/2) - 72166*q^(37/2) - 82612*q^(35/2) - 89966*q^(33/2) - 93830*q^(31/2) - 93300*q^(29/2) - 88916*q^(27/2) - 80864*q^(25/2) - 70412*q^(23/2) - 58500*q^(21/2) - 46520*q^(19/2) - 35224*q^(17/2) - 25464*q^(15/2) - 17472*q^(13/2) - 11382*q^(11/2) - 6988*q^(9/2) - 4044*q^(7/2) - 2172*q^(5/2) - 1082*q^(3/2) - 486*q^(1/2) - 194*q^(-1/2) - 66*q^(-3/2) - 18*q^(-5/2) - 2*q^(-7/2))*x1^(-13/2)*x2^(-19/2) + (32*q^(71/2) + 88*q^(69/2) + 216*q^(67/2) + 448*q^(65/2) + 872*q^(63/2) + 1560*q^(61/2) + 2688*q^(59/2) + 4392*q^(57/2) + 6584*q^(55/2) + 9468*q^(53/2) + 12940*q^(51/2) + 16896*q^(49/2) + 21052*q^(47/2) + 25116*q^(45/2) + 28584*q^(43/2) + 31356*q^(41/2) + 32964*q^(39/2) + 33316*q^(37/2) + 32296*q^(35/2) + 30148*q^(33/2) + 26960*q^(31/2) + 23220*q^(29/2) + 19156*q^(27/2) + 15152*q^(25/2) + 11452*q^(23/2) + 8292*q^(21/2) + 5692*q^(19/2) + 3728*q^(17/2) + 2296*q^(15/2) + 1328*q^(13/2) + 712*q^(11/2) + 356*q^(9/2) + 156*q^(7/2) + 60*q^(5/2) + 20*q^(3/2) + 4*q^(1/2))*x1^(-15/2)*x2^(-19/2) + (-81*q^(73/2) - 126*q^(71/2) - 265*q^(69/2) - 438*q^(67/2) - 732*q^(65/2) - 1068*q^(63/2) - 1573*q^(61/2) - 2074*q^(59/2) - 2673*q^(57/2) - 3262*q^(55/2) - 3881*q^(53/2) - 4364*q^(51/2) - 4813*q^(49/2) - 5026*q^(47/2) - 5109*q^(45/2) - 5002*q^(43/2) - 4738*q^(41/2) - 4298*q^(39/2) - 3789*q^(37/2) - 3194*q^(35/2) - 2597*q^(33/2) - 2028*q^(31/2) - 1521*q^(29/2) - 1078*q^(27/2) - 737*q^(25/2) - 474*q^(23/2) - 285*q^(21/2) - 164*q^(19/2) - 84*q^(17/2) - 38*q^(15/2) - 17*q^(13/2) - 6*q^(11/2) - q^(9/2))*x1^(-17/2)*x2^(-19/2)

Braid

Braid word Components Crossings Strands
[-1, 2, -3, 2, -1, 2, -3, 2] 2 8 4

Multivariable Alexander polynomial

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

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^(-4)*A1^(-1)*A2^(-2) + 5*m^(-3)*A1^(-1)*A2^(-1) + m^(-3)*A2^(-2) + 8*m^(-2)*A1^(-1) + 9*m^(-2)*A2^(-1) + 4*m^(-1)*A1^(-1)*A2 + 16*m^(-1) + 4*m^(-1)*A1*A2^(-1) + 9*A2 + 8*A1 + m*A2^2 + 5*m*A1*A2 + m^2*A1*A2^2
VertexMaslovRank
(-1, -2)-41
(0, -2)-31
(1, -1)-14
(1, 2)21
(0, 2)11
(-1, 1)-14
HFL polytope-101-202A1A2

Record

FL/HFL Links

orderOption(int) 64
namestring L8a7{1}
statusstring success
slugstring L8a7_1_10dd7359
result_filestring details/L8a7_1_10dd7359.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) 0.001904
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_1_10dd7359"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L8a7_1_10dd7359