details/L10n60_1_0a724427.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(-3/2, -3/2) (1, 1) x1^(3/2)x2^(3/2) q^(7/2)
{"0": [-1, 1, -1, 1, 1, 1, -1, 1, 1, 1], "1": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}
(-q^(7/2))*x1^(3/2)*x2^(3/2) + (-2*q^(9/2))*x1^(5/2)*x2^(5/2) + (2*q^(11/2))*x1^(5/2)*x2^(7/2) + (2*q^(11/2))*x1^(7/2)*x2^(5/2) + (-q^(15/2) - 3*q^(13/2) - 2*q^(11/2))*x1^(7/2)*x2^(7/2) + (2*q^(17/2) + 4*q^(15/2) + 2*q^(13/2))*x1^(7/2)*x2^(9/2) + (-q^(21/2) - q^(19/2) - 2*q^(17/2))*x1^(7/2)*x2^(11/2) + (2*q^(17/2) + 4*q^(15/2) + 2*q^(13/2))*x1^(9/2)*x2^(7/2) + (-2*q^(21/2) - 8*q^(19/2) - 9*q^(17/2) - 2*q^(15/2) - 2*q^(13/2))*x1^(9/2)*x2^(9/2) + (2*q^(25/2) + 8*q^(23/2) + 10*q^(21/2) + 8*q^(19/2) + 2*q^(17/2) + 2*q^(15/2))*x1^(9/2)*x2^(11/2) + (-2*q^(29/2) - 6*q^(27/2) - 6*q^(25/2) - 6*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(9/2)*x2^(13/2) + (2*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(25/2))*x1^(9/2)*x2^(15/2) + (-q^(21/2) - q^(19/2) - 2*q^(17/2))*x1^(11/2)*x2^(7/2) + (2*q^(25/2) + 8*q^(23/2) + 10*q^(21/2) + 8*q^(19/2) + 2*q^(17/2) + 2*q^(15/2))*x1^(11/2)*x2^(9/2) + (-q^(31/2) - 3*q^(29/2) - 15*q^(27/2) - 24*q^(25/2) - 23*q^(23/2) - 14*q^(21/2) - 4*q^(19/2) - 2*q^(17/2) - 2*q^(15/2))*x1^(11/2)*x2^(11/2) + (2*q^(35/2) + 8*q^(33/2) + 20*q^(31/2) + 34*q^(29/2) + 30*q^(27/2) + 20*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(11/2)*x2^(13/2) + (-q^(41/2) - 3*q^(39/2) - 13*q^(37/2) - 22*q^(35/2) - 27*q^(33/2) - 23*q^(31/2) - 15*q^(29/2) - 8*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(11/2)*x2^(15/2) + (2*q^(45/2) + 6*q^(43/2) + 10*q^(41/2) + 14*q^(39/2) + 12*q^(37/2) + 8*q^(35/2) + 6*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(27/2))*x1^(11/2)*x2^(17/2) + (-q^(51/2) - q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - 3*q^(43/2) - 2*q^(41/2) - 2*q^(35/2))*x1^(11/2)*x2^(19/2) + (-2*q^(29/2) - 6*q^(27/2) - 6*q^(25/2) - 6*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(13/2)*x2^(9/2) + (2*q^(35/2) + 8*q^(33/2) + 20*q^(31/2) + 34*q^(29/2) + 30*q^(27/2) + 20*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(13/2)*x2^(11/2) + (-2*q^(41/2) - 8*q^(39/2) - 24*q^(37/2) - 50*q^(35/2) - 73*q^(33/2) - 72*q^(31/2) - 54*q^(29/2) - 29*q^(27/2) - 18*q^(25/2) - 6*q^(23/2) - 4*q^(21/2) - 2*q^(19/2) - 2*q^(17/2))*x1^(13/2)*x2^(13/2) + (2*q^(47/2) + 8*q^(45/2) + 24*q^(43/2) + 52*q^(41/2) + 88*q^(39/2) + 104*q^(37/2) + 100*q^(35/2) + 72*q^(33/2) + 44*q^(31/2) + 22*q^(29/2) + 14*q^(27/2) + 6*q^(25/2) + 4*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(13/2)*x2^(15/2) + (-2*q^(53/2) - 8*q^(51/2) - 22*q^(49/2) - 48*q^(47/2) - 76*q^(45/2) - 97*q^(43/2) - 98*q^(41/2) - 82*q^(39/2) - 53*q^(37/2) - 36*q^(35/2) - 16*q^(33/2) - 12*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(13/2)*x2^(17/2) + (2*q^(59/2) + 8*q^(57/2) + 18*q^(55/2) + 36*q^(53/2) + 50*q^(51/2) + 64*q^(49/2) + 60*q^(47/2) + 52*q^(45/2) + 36*q^(43/2) + 24*q^(41/2) + 12*q^(39/2) + 10*q^(37/2) + 4*q^(35/2) + 4*q^(33/2) + 2*q^(31/2) + 2*q^(29/2))*x1^(13/2)*x2^(19/2) + (2*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(25/2))*x1^(15/2)*x2^(9/2) + (-q^(41/2) - 3*q^(39/2) - 13*q^(37/2) - 22*q^(35/2) - 27*q^(33/2) - 23*q^(31/2) - 15*q^(29/2) - 8*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(15/2)*x2^(11/2) + (2*q^(47/2) + 8*q^(45/2) + 24*q^(43/2) + 52*q^(41/2) + 88*q^(39/2) + 104*q^(37/2) + 100*q^(35/2) + 72*q^(33/2) + 44*q^(31/2) + 22*q^(29/2) + 14*q^(27/2) + 6*q^(25/2) + 4*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(15/2)*x2^(13/2) + (-q^(55/2) - 3*q^(53/2) - 15*q^(51/2) - 40*q^(49/2) - 89*q^(47/2) - 152*q^(45/2) - 219*q^(43/2) - 237*q^(41/2) - 213*q^(39/2) - 161*q^(37/2) - 103*q^(35/2) - 56*q^(33/2) - 34*q^(31/2) - 22*q^(29/2) - 10*q^(27/2) - 6*q^(25/2) - 4*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(15/2)*x2^(15/2) + (2*q^(61/2) + 8*q^(59/2) + 24*q^(57/2) + 62*q^(55/2) + 128*q^(53/2) + 214*q^(51/2) + 302*q^(49/2) + 350*q^(47/2) + 344*q^(45/2) + 280*q^(43/2) + 206*q^(41/2) + 132*q^(39/2) + 80*q^(37/2) + 44*q^(35/2) + 30*q^(33/2) + 18*q^(31/2) + 10*q^(29/2) + 6*q^(27/2) + 4*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(15/2)*x2^(17/2) + (-q^(69/2) - 3*q^(67/2) - 15*q^(65/2) - 38*q^(63/2) - 87*q^(61/2) - 156*q^(59/2) - 249*q^(57/2) - 322*q^(55/2) - 368*q^(53/2) - 359*q^(51/2) - 307*q^(49/2) - 231*q^(47/2) - 159*q^(45/2) - 101*q^(43/2) - 62*q^(41/2) - 38*q^(39/2) - 24*q^(37/2) - 16*q^(35/2) - 10*q^(33/2) - 6*q^(31/2) - 4*q^(29/2) - 2*q^(27/2) - 2*q^(25/2))*x1^(15/2)*x2^(19/2) + (2*q^(45/2) + 6*q^(43/2) + 10*q^(41/2) + 14*q^(39/2) + 12*q^(37/2) + 8*q^(35/2) + 6*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(27/2))*x1^(17/2)*x2^(11/2) + (-2*q^(53/2) - 8*q^(51/2) - 22*q^(49/2) - 48*q^(47/2) - 76*q^(45/2) - 97*q^(43/2) - 98*q^(41/2) - 82*q^(39/2) - 53*q^(37/2) - 36*q^(35/2) - 16*q^(33/2) - 12*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(17/2)*x2^(13/2) + (2*q^(61/2) + 8*q^(59/2) + 24*q^(57/2) + 62*q^(55/2) + 128*q^(53/2) + 214*q^(51/2) + 302*q^(49/2) + 350*q^(47/2) + 344*q^(45/2) + 280*q^(43/2) + 206*q^(41/2) + 132*q^(39/2) + 80*q^(37/2) + 44*q^(35/2) + 30*q^(33/2) + 18*q^(31/2) + 10*q^(29/2) + 6*q^(27/2) + 4*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(17/2)*x2^(15/2) + (-2*q^(69/2) - 8*q^(67/2) - 24*q^(65/2) - 66*q^(63/2) - 144*q^(61/2) - 272*q^(59/2) - 449*q^(57/2) - 624*q^(55/2) - 755*q^(53/2) - 783*q^(51/2) - 714*q^(49/2) - 558*q^(47/2) - 408*q^(45/2) - 264*q^(43/2) - 171*q^(41/2) - 98*q^(39/2) - 64*q^(37/2) - 42*q^(35/2) - 30*q^(33/2) - 14*q^(31/2) - 10*q^(29/2) - 6*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(17/2)*x2^(17/2) + (2*q^(77/2) + 8*q^(75/2) + 24*q^(73/2) + 66*q^(71/2) + 146*q^(69/2) + 288*q^(67/2) + 496*q^(65/2) + 752*q^(63/2) + 996*q^(61/2) + 1178*q^(59/2) + 1210*q^(57/2) + 1126*q^(55/2) + 930*q^(53/2) + 702*q^(51/2) + 482*q^(49/2) + 328*q^(47/2) + 206*q^(45/2) + 134*q^(43/2) + 84*q^(41/2) + 58*q^(39/2) + 38*q^(37/2) + 26*q^(35/2) + 14*q^(33/2) + 10*q^(31/2) + 6*q^(29/2) + 4*q^(27/2) + 2*q^(25/2) + 2*q^(23/2))*x1^(17/2)*x2^(19/2) + (-q^(51/2) - q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - 3*q^(43/2) - 2*q^(41/2) - 2*q^(35/2))*x1^(19/2)*x2^(11/2) + (2*q^(59/2) + 8*q^(57/2) + 18*q^(55/2) + 36*q^(53/2) + 50*q^(51/2) + 64*q^(49/2) + 60*q^(47/2) + 52*q^(45/2) + 36*q^(43/2) + 24*q^(41/2) + 12*q^(39/2) + 10*q^(37/2) + 4*q^(35/2) + 4*q^(33/2) + 2*q^(31/2) + 2*q^(29/2))*x1^(19/2)*x2^(13/2) + (-q^(69/2) - 3*q^(67/2) - 15*q^(65/2) - 38*q^(63/2) - 87*q^(61/2) - 156*q^(59/2) - 249*q^(57/2) - 322*q^(55/2) - 368*q^(53/2) - 359*q^(51/2) - 307*q^(49/2) - 231*q^(47/2) - 159*q^(45/2) - 101*q^(43/2) - 62*q^(41/2) - 38*q^(39/2) - 24*q^(37/2) - 16*q^(35/2) - 10*q^(33/2) - 6*q^(31/2) - 4*q^(29/2) - 2*q^(27/2) - 2*q^(25/2))*x1^(19/2)*x2^(15/2) + (2*q^(77/2) + 8*q^(75/2) + 24*q^(73/2) + 66*q^(71/2) + 146*q^(69/2) + 288*q^(67/2) + 496*q^(65/2) + 752*q^(63/2) + 996*q^(61/2) + 1178*q^(59/2) + 1210*q^(57/2) + 1126*q^(55/2) + 930*q^(53/2) + 702*q^(51/2) + 482*q^(49/2) + 328*q^(47/2) + 206*q^(45/2) + 134*q^(43/2) + 84*q^(41/2) + 58*q^(39/2) + 38*q^(37/2) + 26*q^(35/2) + 14*q^(33/2) + 10*q^(31/2) + 6*q^(29/2) + 4*q^(27/2) + 2*q^(25/2) + 2*q^(23/2))*x1^(19/2)*x2^(17/2) + (-q^(87/2) - 3*q^(85/2) - 15*q^(83/2) - 40*q^(81/2) - 105*q^(79/2) - 224*q^(77/2) - 445*q^(75/2) - 775*q^(73/2) - 1234*q^(71/2) - 1745*q^(69/2) - 2244*q^(67/2) - 2579*q^(65/2) - 2687*q^(63/2) - 2523*q^(61/2) - 2172*q^(59/2) - 1718*q^(57/2) - 1265*q^(55/2) - 874*q^(53/2) - 588*q^(51/2) - 395*q^(49/2) - 262*q^(47/2) - 170*q^(45/2) - 116*q^(43/2) - 80*q^(41/2) - 56*q^(39/2) - 38*q^(37/2) - 22*q^(35/2) - 14*q^(33/2) - 10*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(19/2)*x2^(19/2)
(-3/2, -3/2) (1, 1) x1^(3/2)x2^(3/2) q^(7/2)
{"0": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], "1": [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]}
(-q^(7/2))*x1^(3/2)*x2^(3/2) + (-2*q^(9/2))*x1^(5/2)*x2^(5/2) + (2*q^(11/2))*x1^(5/2)*x2^(7/2) + (2*q^(11/2))*x1^(7/2)*x2^(5/2) + (-q^(15/2) - 3*q^(13/2) - 2*q^(11/2))*x1^(7/2)*x2^(7/2) + (2*q^(17/2) + 4*q^(15/2) + 2*q^(13/2))*x1^(7/2)*x2^(9/2) + (-q^(21/2) - q^(19/2) - 2*q^(17/2))*x1^(7/2)*x2^(11/2) + (2*q^(17/2) + 4*q^(15/2) + 2*q^(13/2))*x1^(9/2)*x2^(7/2) + (-2*q^(21/2) - 8*q^(19/2) - 9*q^(17/2) - 2*q^(15/2) - 2*q^(13/2))*x1^(9/2)*x2^(9/2) + (2*q^(25/2) + 8*q^(23/2) + 10*q^(21/2) + 8*q^(19/2) + 2*q^(17/2) + 2*q^(15/2))*x1^(9/2)*x2^(11/2) + (-2*q^(29/2) - 6*q^(27/2) - 6*q^(25/2) - 6*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(9/2)*x2^(13/2) + (2*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(25/2))*x1^(9/2)*x2^(15/2) + (-q^(21/2) - q^(19/2) - 2*q^(17/2))*x1^(11/2)*x2^(7/2) + (2*q^(25/2) + 8*q^(23/2) + 10*q^(21/2) + 8*q^(19/2) + 2*q^(17/2) + 2*q^(15/2))*x1^(11/2)*x2^(9/2) + (-q^(31/2) - 3*q^(29/2) - 15*q^(27/2) - 24*q^(25/2) - 23*q^(23/2) - 14*q^(21/2) - 4*q^(19/2) - 2*q^(17/2) - 2*q^(15/2))*x1^(11/2)*x2^(11/2) + (2*q^(35/2) + 8*q^(33/2) + 20*q^(31/2) + 34*q^(29/2) + 30*q^(27/2) + 20*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(11/2)*x2^(13/2) + (-q^(41/2) - 3*q^(39/2) - 13*q^(37/2) - 22*q^(35/2) - 27*q^(33/2) - 23*q^(31/2) - 15*q^(29/2) - 8*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(11/2)*x2^(15/2) + (2*q^(45/2) + 6*q^(43/2) + 10*q^(41/2) + 14*q^(39/2) + 12*q^(37/2) + 8*q^(35/2) + 6*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(27/2))*x1^(11/2)*x2^(17/2) + (-q^(51/2) - q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - 3*q^(43/2) - 2*q^(41/2) - 2*q^(35/2))*x1^(11/2)*x2^(19/2) + (-2*q^(29/2) - 6*q^(27/2) - 6*q^(25/2) - 6*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(13/2)*x2^(9/2) + (2*q^(35/2) + 8*q^(33/2) + 20*q^(31/2) + 34*q^(29/2) + 30*q^(27/2) + 20*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(13/2)*x2^(11/2) + (-2*q^(41/2) - 8*q^(39/2) - 24*q^(37/2) - 50*q^(35/2) - 73*q^(33/2) - 72*q^(31/2) - 54*q^(29/2) - 29*q^(27/2) - 18*q^(25/2) - 6*q^(23/2) - 4*q^(21/2) - 2*q^(19/2) - 2*q^(17/2))*x1^(13/2)*x2^(13/2) + (2*q^(47/2) + 8*q^(45/2) + 24*q^(43/2) + 52*q^(41/2) + 88*q^(39/2) + 104*q^(37/2) + 100*q^(35/2) + 72*q^(33/2) + 44*q^(31/2) + 22*q^(29/2) + 14*q^(27/2) + 6*q^(25/2) + 4*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(13/2)*x2^(15/2) + (-2*q^(53/2) - 8*q^(51/2) - 22*q^(49/2) - 48*q^(47/2) - 76*q^(45/2) - 97*q^(43/2) - 98*q^(41/2) - 82*q^(39/2) - 53*q^(37/2) - 36*q^(35/2) - 16*q^(33/2) - 12*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(13/2)*x2^(17/2) + (2*q^(59/2) + 8*q^(57/2) + 18*q^(55/2) + 36*q^(53/2) + 50*q^(51/2) + 64*q^(49/2) + 60*q^(47/2) + 52*q^(45/2) + 36*q^(43/2) + 24*q^(41/2) + 12*q^(39/2) + 10*q^(37/2) + 4*q^(35/2) + 4*q^(33/2) + 2*q^(31/2) + 2*q^(29/2))*x1^(13/2)*x2^(19/2) + (2*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(25/2))*x1^(15/2)*x2^(9/2) + (-q^(41/2) - 3*q^(39/2) - 13*q^(37/2) - 22*q^(35/2) - 27*q^(33/2) - 23*q^(31/2) - 15*q^(29/2) - 8*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(15/2)*x2^(11/2) + (2*q^(47/2) + 8*q^(45/2) + 24*q^(43/2) + 52*q^(41/2) + 88*q^(39/2) + 104*q^(37/2) + 100*q^(35/2) + 72*q^(33/2) + 44*q^(31/2) + 22*q^(29/2) + 14*q^(27/2) + 6*q^(25/2) + 4*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(15/2)*x2^(13/2) + (-q^(55/2) - 3*q^(53/2) - 15*q^(51/2) - 40*q^(49/2) - 89*q^(47/2) - 152*q^(45/2) - 219*q^(43/2) - 237*q^(41/2) - 213*q^(39/2) - 161*q^(37/2) - 103*q^(35/2) - 56*q^(33/2) - 34*q^(31/2) - 22*q^(29/2) - 10*q^(27/2) - 6*q^(25/2) - 4*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(15/2)*x2^(15/2) + (2*q^(61/2) + 8*q^(59/2) + 24*q^(57/2) + 62*q^(55/2) + 128*q^(53/2) + 214*q^(51/2) + 302*q^(49/2) + 350*q^(47/2) + 344*q^(45/2) + 280*q^(43/2) + 206*q^(41/2) + 132*q^(39/2) + 80*q^(37/2) + 44*q^(35/2) + 30*q^(33/2) + 18*q^(31/2) + 10*q^(29/2) + 6*q^(27/2) + 4*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(15/2)*x2^(17/2) + (-q^(69/2) - 3*q^(67/2) - 15*q^(65/2) - 38*q^(63/2) - 87*q^(61/2) - 156*q^(59/2) - 249*q^(57/2) - 322*q^(55/2) - 368*q^(53/2) - 359*q^(51/2) - 307*q^(49/2) - 231*q^(47/2) - 159*q^(45/2) - 101*q^(43/2) - 62*q^(41/2) - 38*q^(39/2) - 24*q^(37/2) - 16*q^(35/2) - 10*q^(33/2) - 6*q^(31/2) - 4*q^(29/2) - 2*q^(27/2) - 2*q^(25/2))*x1^(15/2)*x2^(19/2) + (2*q^(45/2) + 6*q^(43/2) + 10*q^(41/2) + 14*q^(39/2) + 12*q^(37/2) + 8*q^(35/2) + 6*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(27/2))*x1^(17/2)*x2^(11/2) + (-2*q^(53/2) - 8*q^(51/2) - 22*q^(49/2) - 48*q^(47/2) - 76*q^(45/2) - 97*q^(43/2) - 98*q^(41/2) - 82*q^(39/2) - 53*q^(37/2) - 36*q^(35/2) - 16*q^(33/2) - 12*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(17/2)*x2^(13/2) + (2*q^(61/2) + 8*q^(59/2) + 24*q^(57/2) + 62*q^(55/2) + 128*q^(53/2) + 214*q^(51/2) + 302*q^(49/2) + 350*q^(47/2) + 344*q^(45/2) + 280*q^(43/2) + 206*q^(41/2) + 132*q^(39/2) + 80*q^(37/2) + 44*q^(35/2) + 30*q^(33/2) + 18*q^(31/2) + 10*q^(29/2) + 6*q^(27/2) + 4*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(17/2)*x2^(15/2) + (-2*q^(69/2) - 8*q^(67/2) - 24*q^(65/2) - 66*q^(63/2) - 144*q^(61/2) - 272*q^(59/2) - 449*q^(57/2) - 624*q^(55/2) - 755*q^(53/2) - 783*q^(51/2) - 714*q^(49/2) - 558*q^(47/2) - 408*q^(45/2) - 264*q^(43/2) - 171*q^(41/2) - 98*q^(39/2) - 64*q^(37/2) - 42*q^(35/2) - 30*q^(33/2) - 14*q^(31/2) - 10*q^(29/2) - 6*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(17/2)*x2^(17/2) + (2*q^(77/2) + 8*q^(75/2) + 24*q^(73/2) + 66*q^(71/2) + 146*q^(69/2) + 288*q^(67/2) + 496*q^(65/2) + 752*q^(63/2) + 996*q^(61/2) + 1178*q^(59/2) + 1210*q^(57/2) + 1126*q^(55/2) + 930*q^(53/2) + 702*q^(51/2) + 482*q^(49/2) + 328*q^(47/2) + 206*q^(45/2) + 134*q^(43/2) + 84*q^(41/2) + 58*q^(39/2) + 38*q^(37/2) + 26*q^(35/2) + 14*q^(33/2) + 10*q^(31/2) + 6*q^(29/2) + 4*q^(27/2) + 2*q^(25/2) + 2*q^(23/2))*x1^(17/2)*x2^(19/2) + (-q^(51/2) - q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - 3*q^(43/2) - 2*q^(41/2) - 2*q^(35/2))*x1^(19/2)*x2^(11/2) + (2*q^(59/2) + 8*q^(57/2) + 18*q^(55/2) + 36*q^(53/2) + 50*q^(51/2) + 64*q^(49/2) + 60*q^(47/2) + 52*q^(45/2) + 36*q^(43/2) + 24*q^(41/2) + 12*q^(39/2) + 10*q^(37/2) + 4*q^(35/2) + 4*q^(33/2) + 2*q^(31/2) + 2*q^(29/2))*x1^(19/2)*x2^(13/2) + (-q^(69/2) - 3*q^(67/2) - 15*q^(65/2) - 38*q^(63/2) - 87*q^(61/2) - 156*q^(59/2) - 249*q^(57/2) - 322*q^(55/2) - 368*q^(53/2) - 359*q^(51/2) - 307*q^(49/2) - 231*q^(47/2) - 159*q^(45/2) - 101*q^(43/2) - 62*q^(41/2) - 38*q^(39/2) - 24*q^(37/2) - 16*q^(35/2) - 10*q^(33/2) - 6*q^(31/2) - 4*q^(29/2) - 2*q^(27/2) - 2*q^(25/2))*x1^(19/2)*x2^(15/2) + (2*q^(77/2) + 8*q^(75/2) + 24*q^(73/2) + 66*q^(71/2) + 146*q^(69/2) + 288*q^(67/2) + 496*q^(65/2) + 752*q^(63/2) + 996*q^(61/2) + 1178*q^(59/2) + 1210*q^(57/2) + 1126*q^(55/2) + 930*q^(53/2) + 702*q^(51/2) + 482*q^(49/2) + 328*q^(47/2) + 206*q^(45/2) + 134*q^(43/2) + 84*q^(41/2) + 58*q^(39/2) + 38*q^(37/2) + 26*q^(35/2) + 14*q^(33/2) + 10*q^(31/2) + 6*q^(29/2) + 4*q^(27/2) + 2*q^(25/2) + 2*q^(23/2))*x1^(19/2)*x2^(17/2) + (-q^(87/2) - 3*q^(85/2) - 15*q^(83/2) - 40*q^(81/2) - 105*q^(79/2) - 224*q^(77/2) - 445*q^(75/2) - 775*q^(73/2) - 1234*q^(71/2) - 1745*q^(69/2) - 2244*q^(67/2) - 2579*q^(65/2) - 2687*q^(63/2) - 2523*q^(61/2) - 2172*q^(59/2) - 1718*q^(57/2) - 1265*q^(55/2) - 874*q^(53/2) - 588*q^(51/2) - 395*q^(49/2) - 262*q^(47/2) - 170*q^(45/2) - 116*q^(43/2) - 80*q^(41/2) - 56*q^(39/2) - 38*q^(37/2) - 22*q^(35/2) - 14*q^(33/2) - 10*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(19/2)*x2^(19/2)
(3/2, 3/2) x1^(-3/2)x2^(-3/2) q^(7/2)
(-q^(7/2))*x1^(-3/2)*x2^(-3/2) + (-2*q^(9/2))*x1^(-5/2)*x2^(-5/2) + (2*q^(11/2))*x1^(-5/2)*x2^(-7/2) + (2*q^(11/2))*x1^(-7/2)*x2^(-5/2) + (-q^(15/2) - 3*q^(13/2) - 2*q^(11/2))*x1^(-7/2)*x2^(-7/2) + (2*q^(17/2) + 4*q^(15/2) + 2*q^(13/2))*x1^(-7/2)*x2^(-9/2) + (-q^(21/2) - q^(19/2) - 2*q^(17/2))*x1^(-7/2)*x2^(-11/2) + (2*q^(17/2) + 4*q^(15/2) + 2*q^(13/2))*x1^(-9/2)*x2^(-7/2) + (-2*q^(21/2) - 8*q^(19/2) - 9*q^(17/2) - 2*q^(15/2) - 2*q^(13/2))*x1^(-9/2)*x2^(-9/2) + (2*q^(25/2) + 8*q^(23/2) + 10*q^(21/2) + 8*q^(19/2) + 2*q^(17/2) + 2*q^(15/2))*x1^(-9/2)*x2^(-11/2) + (-2*q^(29/2) - 6*q^(27/2) - 6*q^(25/2) - 6*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(-9/2)*x2^(-13/2) + (2*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(25/2))*x1^(-9/2)*x2^(-15/2) + (-q^(21/2) - q^(19/2) - 2*q^(17/2))*x1^(-11/2)*x2^(-7/2) + (2*q^(25/2) + 8*q^(23/2) + 10*q^(21/2) + 8*q^(19/2) + 2*q^(17/2) + 2*q^(15/2))*x1^(-11/2)*x2^(-9/2) + (-q^(31/2) - 3*q^(29/2) - 15*q^(27/2) - 24*q^(25/2) - 23*q^(23/2) - 14*q^(21/2) - 4*q^(19/2) - 2*q^(17/2) - 2*q^(15/2))*x1^(-11/2)*x2^(-11/2) + (2*q^(35/2) + 8*q^(33/2) + 20*q^(31/2) + 34*q^(29/2) + 30*q^(27/2) + 20*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(-11/2)*x2^(-13/2) + (-q^(41/2) - 3*q^(39/2) - 13*q^(37/2) - 22*q^(35/2) - 27*q^(33/2) - 23*q^(31/2) - 15*q^(29/2) - 8*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(-11/2)*x2^(-15/2) + (2*q^(45/2) + 6*q^(43/2) + 10*q^(41/2) + 14*q^(39/2) + 12*q^(37/2) + 8*q^(35/2) + 6*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(27/2))*x1^(-11/2)*x2^(-17/2) + (-q^(51/2) - q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - 3*q^(43/2) - 2*q^(41/2) - 2*q^(35/2))*x1^(-11/2)*x2^(-19/2) + (-2*q^(29/2) - 6*q^(27/2) - 6*q^(25/2) - 6*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(-13/2)*x2^(-9/2) + (2*q^(35/2) + 8*q^(33/2) + 20*q^(31/2) + 34*q^(29/2) + 30*q^(27/2) + 20*q^(25/2) + 10*q^(23/2) + 4*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(-13/2)*x2^(-11/2) + (-2*q^(41/2) - 8*q^(39/2) - 24*q^(37/2) - 50*q^(35/2) - 73*q^(33/2) - 72*q^(31/2) - 54*q^(29/2) - 29*q^(27/2) - 18*q^(25/2) - 6*q^(23/2) - 4*q^(21/2) - 2*q^(19/2) - 2*q^(17/2))*x1^(-13/2)*x2^(-13/2) + (2*q^(47/2) + 8*q^(45/2) + 24*q^(43/2) + 52*q^(41/2) + 88*q^(39/2) + 104*q^(37/2) + 100*q^(35/2) + 72*q^(33/2) + 44*q^(31/2) + 22*q^(29/2) + 14*q^(27/2) + 6*q^(25/2) + 4*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(-13/2)*x2^(-15/2) + (-2*q^(53/2) - 8*q^(51/2) - 22*q^(49/2) - 48*q^(47/2) - 76*q^(45/2) - 97*q^(43/2) - 98*q^(41/2) - 82*q^(39/2) - 53*q^(37/2) - 36*q^(35/2) - 16*q^(33/2) - 12*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(-13/2)*x2^(-17/2) + (2*q^(59/2) + 8*q^(57/2) + 18*q^(55/2) + 36*q^(53/2) + 50*q^(51/2) + 64*q^(49/2) + 60*q^(47/2) + 52*q^(45/2) + 36*q^(43/2) + 24*q^(41/2) + 12*q^(39/2) + 10*q^(37/2) + 4*q^(35/2) + 4*q^(33/2) + 2*q^(31/2) + 2*q^(29/2))*x1^(-13/2)*x2^(-19/2) + (2*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(25/2))*x1^(-15/2)*x2^(-9/2) + (-q^(41/2) - 3*q^(39/2) - 13*q^(37/2) - 22*q^(35/2) - 27*q^(33/2) - 23*q^(31/2) - 15*q^(29/2) - 8*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(-15/2)*x2^(-11/2) + (2*q^(47/2) + 8*q^(45/2) + 24*q^(43/2) + 52*q^(41/2) + 88*q^(39/2) + 104*q^(37/2) + 100*q^(35/2) + 72*q^(33/2) + 44*q^(31/2) + 22*q^(29/2) + 14*q^(27/2) + 6*q^(25/2) + 4*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(-15/2)*x2^(-13/2) + (-q^(55/2) - 3*q^(53/2) - 15*q^(51/2) - 40*q^(49/2) - 89*q^(47/2) - 152*q^(45/2) - 219*q^(43/2) - 237*q^(41/2) - 213*q^(39/2) - 161*q^(37/2) - 103*q^(35/2) - 56*q^(33/2) - 34*q^(31/2) - 22*q^(29/2) - 10*q^(27/2) - 6*q^(25/2) - 4*q^(23/2) - 2*q^(21/2) - 2*q^(19/2))*x1^(-15/2)*x2^(-15/2) + (2*q^(61/2) + 8*q^(59/2) + 24*q^(57/2) + 62*q^(55/2) + 128*q^(53/2) + 214*q^(51/2) + 302*q^(49/2) + 350*q^(47/2) + 344*q^(45/2) + 280*q^(43/2) + 206*q^(41/2) + 132*q^(39/2) + 80*q^(37/2) + 44*q^(35/2) + 30*q^(33/2) + 18*q^(31/2) + 10*q^(29/2) + 6*q^(27/2) + 4*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(-15/2)*x2^(-17/2) + (-q^(69/2) - 3*q^(67/2) - 15*q^(65/2) - 38*q^(63/2) - 87*q^(61/2) - 156*q^(59/2) - 249*q^(57/2) - 322*q^(55/2) - 368*q^(53/2) - 359*q^(51/2) - 307*q^(49/2) - 231*q^(47/2) - 159*q^(45/2) - 101*q^(43/2) - 62*q^(41/2) - 38*q^(39/2) - 24*q^(37/2) - 16*q^(35/2) - 10*q^(33/2) - 6*q^(31/2) - 4*q^(29/2) - 2*q^(27/2) - 2*q^(25/2))*x1^(-15/2)*x2^(-19/2) + (2*q^(45/2) + 6*q^(43/2) + 10*q^(41/2) + 14*q^(39/2) + 12*q^(37/2) + 8*q^(35/2) + 6*q^(33/2) + 2*q^(31/2) + 2*q^(29/2) + 2*q^(27/2))*x1^(-17/2)*x2^(-11/2) + (-2*q^(53/2) - 8*q^(51/2) - 22*q^(49/2) - 48*q^(47/2) - 76*q^(45/2) - 97*q^(43/2) - 98*q^(41/2) - 82*q^(39/2) - 53*q^(37/2) - 36*q^(35/2) - 16*q^(33/2) - 12*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(-17/2)*x2^(-13/2) + (2*q^(61/2) + 8*q^(59/2) + 24*q^(57/2) + 62*q^(55/2) + 128*q^(53/2) + 214*q^(51/2) + 302*q^(49/2) + 350*q^(47/2) + 344*q^(45/2) + 280*q^(43/2) + 206*q^(41/2) + 132*q^(39/2) + 80*q^(37/2) + 44*q^(35/2) + 30*q^(33/2) + 18*q^(31/2) + 10*q^(29/2) + 6*q^(27/2) + 4*q^(25/2) + 2*q^(23/2) + 2*q^(21/2))*x1^(-17/2)*x2^(-15/2) + (-2*q^(69/2) - 8*q^(67/2) - 24*q^(65/2) - 66*q^(63/2) - 144*q^(61/2) - 272*q^(59/2) - 449*q^(57/2) - 624*q^(55/2) - 755*q^(53/2) - 783*q^(51/2) - 714*q^(49/2) - 558*q^(47/2) - 408*q^(45/2) - 264*q^(43/2) - 171*q^(41/2) - 98*q^(39/2) - 64*q^(37/2) - 42*q^(35/2) - 30*q^(33/2) - 14*q^(31/2) - 10*q^(29/2) - 6*q^(27/2) - 4*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(-17/2)*x2^(-17/2) + (2*q^(77/2) + 8*q^(75/2) + 24*q^(73/2) + 66*q^(71/2) + 146*q^(69/2) + 288*q^(67/2) + 496*q^(65/2) + 752*q^(63/2) + 996*q^(61/2) + 1178*q^(59/2) + 1210*q^(57/2) + 1126*q^(55/2) + 930*q^(53/2) + 702*q^(51/2) + 482*q^(49/2) + 328*q^(47/2) + 206*q^(45/2) + 134*q^(43/2) + 84*q^(41/2) + 58*q^(39/2) + 38*q^(37/2) + 26*q^(35/2) + 14*q^(33/2) + 10*q^(31/2) + 6*q^(29/2) + 4*q^(27/2) + 2*q^(25/2) + 2*q^(23/2))*x1^(-17/2)*x2^(-19/2) + (-q^(51/2) - q^(49/2) - 4*q^(47/2) - 3*q^(45/2) - 3*q^(43/2) - 2*q^(41/2) - 2*q^(35/2))*x1^(-19/2)*x2^(-11/2) + (2*q^(59/2) + 8*q^(57/2) + 18*q^(55/2) + 36*q^(53/2) + 50*q^(51/2) + 64*q^(49/2) + 60*q^(47/2) + 52*q^(45/2) + 36*q^(43/2) + 24*q^(41/2) + 12*q^(39/2) + 10*q^(37/2) + 4*q^(35/2) + 4*q^(33/2) + 2*q^(31/2) + 2*q^(29/2))*x1^(-19/2)*x2^(-13/2) + (-q^(69/2) - 3*q^(67/2) - 15*q^(65/2) - 38*q^(63/2) - 87*q^(61/2) - 156*q^(59/2) - 249*q^(57/2) - 322*q^(55/2) - 368*q^(53/2) - 359*q^(51/2) - 307*q^(49/2) - 231*q^(47/2) - 159*q^(45/2) - 101*q^(43/2) - 62*q^(41/2) - 38*q^(39/2) - 24*q^(37/2) - 16*q^(35/2) - 10*q^(33/2) - 6*q^(31/2) - 4*q^(29/2) - 2*q^(27/2) - 2*q^(25/2))*x1^(-19/2)*x2^(-15/2) + (2*q^(77/2) + 8*q^(75/2) + 24*q^(73/2) + 66*q^(71/2) + 146*q^(69/2) + 288*q^(67/2) + 496*q^(65/2) + 752*q^(63/2) + 996*q^(61/2) + 1178*q^(59/2) + 1210*q^(57/2) + 1126*q^(55/2) + 930*q^(53/2) + 702*q^(51/2) + 482*q^(49/2) + 328*q^(47/2) + 206*q^(45/2) + 134*q^(43/2) + 84*q^(41/2) + 58*q^(39/2) + 38*q^(37/2) + 26*q^(35/2) + 14*q^(33/2) + 10*q^(31/2) + 6*q^(29/2) + 4*q^(27/2) + 2*q^(25/2) + 2*q^(23/2))*x1^(-19/2)*x2^(-17/2) + (-q^(87/2) - 3*q^(85/2) - 15*q^(83/2) - 40*q^(81/2) - 105*q^(79/2) - 224*q^(77/2) - 445*q^(75/2) - 775*q^(73/2) - 1234*q^(71/2) - 1745*q^(69/2) - 2244*q^(67/2) - 2579*q^(65/2) - 2687*q^(63/2) - 2523*q^(61/2) - 2172*q^(59/2) - 1718*q^(57/2) - 1265*q^(55/2) - 874*q^(53/2) - 588*q^(51/2) - 395*q^(49/2) - 262*q^(47/2) - 170*q^(45/2) - 116*q^(43/2) - 80*q^(41/2) - 56*q^(39/2) - 38*q^(37/2) - 22*q^(35/2) - 14*q^(33/2) - 10*q^(31/2) - 6*q^(29/2) - 4*q^(27/2) - 2*q^(25/2) - 2*q^(23/2))*x1^(-19/2)*x2^(-19/2)

Braid

Braid word Components Crossings Strands
[1, 1, 2, 2, 1, 3, 2, 2, 3, 3] 2 10 4

Multivariable Alexander polynomial

ΔL
A1^(3/2)*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^(-3/2)*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-202-202A1A2

Dual Thurston polytope

VertexDual to fibered face
(-3, -3) yes
(1, -1) no
(3, 3) yes
(-1, 1) no
Dual Thurston polygon0505h1h2

HFL polytope

Poincaré polynomial
m^(-8)*A1^(-2)*A2^(-2) + m^(-7)*A1^(-2)*A2^(-1) + m^(-7)*A1^(-1)*A2^(-2) + m^(-6)*A1^(-1)*A2^(-1) + 2*m^(-5)*A1^(-1)*A2^(-1) + 4*m^(-4)*A1^(-1) + 4*m^(-4)*A2^(-1) + 2*m^(-3)*A1^(-1)*A2 + 8*m^(-3) + 2*m^(-3)*A1*A2^(-1) + 4*m^(-2)*A2 + 4*m^(-2)*A1 + m^(-2)*A1*A2 + 2*m^(-1)*A1*A2 + m^(-1)*A1*A2^2 + m^(-1)*A1^2*A2 + A1^2*A2^2
VertexMaslovRank
(-2, -2)-81
(-1, -2)-71
(1, -1)-32
(2, 1)-11
(2, 2)01
(1, 2)-11
(-1, 1)-32
(-2, -1)-71
HFL polytope-202-202A1A2

Record

FL/HFL Links

orderOption(int) 592
namestring L10n60{1}
statusstring success
slugstring L10n60_1_0a724427
result_filestring details/L10n60_1_0a724427.json
complexity_scoreOption(int) 200
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 40
wall_secondsOption(float) 0.002983
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 15
vertex_countOption(int) 8
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": "L10n60_1_0a724427"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10n60_1_0a724427