details/L11a62_1_d533b856.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(-1/2, -5/2) (1, 1) x1^(1/2)x2^(5/2) q^(-23/2)
{"0": [1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1], "1": [-1, 1, -1, 1, 1, 1]}
(-q^(1/2))*x1^(1/2)*x2^(5/2) + (-6*q^(1/2))*x1^(1/2)*x2^(7/2) + (2*q^(3/2))*x1^(3/2)*x2^(7/2) + (-3*q^(3/2) - 21*q^(1/2))*x1^(1/2)*x2^(9/2) + (2*q^(5/2) + 12*q^(3/2))*x1^(3/2)*x2^(9/2) + (-3*q^(7/2) - q^(5/2))*x1^(5/2)*x2^(9/2) + (-8*q^(5/2) - 18*q^(3/2) - 58*q^(1/2) + 2*q^(-3/2))*x1^(1/2)*x2^(11/2) + (2*q^(7/2) + 18*q^(5/2) + 42*q^(3/2) - 2*q^(-1/2))*x1^(3/2)*x2^(11/2) + (-2*q^(11/2) - 4*q^(9/2) - 20*q^(7/2) - 6*q^(5/2))*x1^(5/2)*x2^(11/2) + (4*q^(13/2) + 2*q^(11/2) + 2*q^(9/2))*x1^(7/2)*x2^(11/2) + (-5*q^(9/2) - 18*q^(7/2) - 49*q^(5/2) - 69*q^(3/2) - 138*q^(1/2) + 13*q^(-3/2) + 5*q^(-5/2) - q^(-7/2))*x1^(1/2)*x2^(13/2) + (2*q^(9/2) + 34*q^(7/2) + 78*q^(5/2) + 116*q^(3/2) - 6*q^(1/2) - 16*q^(-1/2) - 6*q^(-3/2))*x1^(3/2)*x2^(13/2) + (-2*q^(15/2) - 2*q^(13/2) - 17*q^(11/2) - 36*q^(9/2) - 78*q^(7/2) - 21*q^(5/2) + 4*q^(3/2) + 4*q^(1/2))*x1^(5/2)*x2^(13/2) + (2*q^(19/2) + 4*q^(17/2) + 8*q^(15/2) + 30*q^(13/2) + 16*q^(11/2) + 12*q^(9/2))*x1^(7/2)*x2^(13/2) + (-5*q^(21/2) - 3*q^(19/2) - 4*q^(17/2) - 3*q^(15/2) - q^(13/2))*x1^(9/2)*x2^(13/2) + (-12*q^(13/2) - 20*q^(11/2) - 66*q^(9/2) - 116*q^(7/2) - 192*q^(5/2) - 206*q^(3/2) - 294*q^(1/2) + 8*q^(-1/2) + 54*q^(-3/2) + 34*q^(-5/2) + 2*q^(-7/2) - 6*q^(-9/2) - 2*q^(-11/2))*x1^(1/2)*x2^(15/2) + (12*q^(11/2) + 70*q^(9/2) + 176*q^(7/2) + 254*q^(5/2) + 262*q^(3/2) - 46*q^(1/2) - 89*q^(-1/2) - 48*q^(-3/2) - 8*q^(-5/2) + 2*q^(-7/2))*x1^(3/2)*x2^(15/2) + (-2*q^(19/2) - 2*q^(17/2) - 14*q^(15/2) - 24*q^(13/2) - 112*q^(11/2) - 170*q^(9/2) - 230*q^(7/2) - 42*q^(5/2) + 42*q^(3/2) + 38*q^(1/2) + 12*q^(-1/2))*x1^(5/2)*x2^(15/2) + (2*q^(25/2) + 2*q^(23/2) + 6*q^(21/2) + 20*q^(19/2) + 38*q^(17/2) + 70*q^(15/2) + 132*q^(13/2) + 72*q^(11/2) + 36*q^(9/2) - 8*q^(7/2) - 8*q^(5/2) - 2*q^(3/2))*x1^(7/2)*x2^(15/2) + (-2*q^(29/2) - 4*q^(27/2) - 8*q^(25/2) - 14*q^(23/2) - 44*q^(21/2) - 30*q^(19/2) - 32*q^(17/2) - 20*q^(15/2) - 6*q^(13/2))*x1^(9/2)*x2^(15/2) + (6*q^(31/2) + 4*q^(29/2) + 6*q^(27/2) + 6*q^(25/2) + 6*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(11/2)*x2^(15/2) + (-7*q^(19/2) - 26*q^(17/2) - 51*q^(15/2) - 126*q^(13/2) - 198*q^(11/2) - 357*q^(9/2) - 470*q^(7/2) - 585*q^(5/2) - 516*q^(3/2) - 555*q^(1/2) + 70*q^(-1/2) + 194*q^(-3/2) + 144*q^(-5/2) + 34*q^(-7/2) - 29*q^(-9/2) - 29*q^(-11/2) - 13*q^(-13/2) - 3*q^(-15/2) - q^(-17/2))*x1^(1/2)*x2^(17/2) + (24*q^(15/2) + 52*q^(13/2) + 202*q^(11/2) + 408*q^(9/2) + 634*q^(7/2) + 650*q^(5/2) + 470*q^(3/2) - 262*q^(1/2) - 384*q^(-1/2) - 246*q^(-3/2) - 68*q^(-5/2) + 12*q^(-7/2) + 18*q^(-9/2) + 6*q^(-11/2))*x1^(3/2)*x2^(17/2) + (-2*q^(23/2) - 2*q^(21/2) - 14*q^(19/2) - 20*q^(17/2) - 98*q^(15/2) - 225*q^(13/2) - 503*q^(11/2) - 575*q^(9/2) - 531*q^(7/2) + 22*q^(5/2) + 265*q^(3/2) + 230*q^(1/2) + 98*q^(-1/2) + 15*q^(-3/2) - 5*q^(-5/2) - 3*q^(-7/2))*x1^(5/2)*x2^(17/2) + (2*q^(31/2) + 2*q^(29/2) + 4*q^(27/2) + 18*q^(25/2) + 22*q^(23/2) + 56*q^(21/2) + 122*q^(19/2) + 238*q^(17/2) + 338*q^(15/2) + 446*q^(13/2) + 202*q^(11/2) + 36*q^(9/2) - 98*q^(7/2) - 82*q^(5/2) - 36*q^(3/2) - 6*q^(1/2))*x1^(7/2)*x2^(17/2) + (-2*q^(37/2) - 2*q^(35/2) - 6*q^(33/2) - 8*q^(31/2) - 29*q^(29/2) - 47*q^(27/2) - 81*q^(25/2) - 129*q^(23/2) - 221*q^(21/2) - 160*q^(19/2) - 136*q^(17/2) - 66*q^(15/2) - 5*q^(13/2) + 16*q^(11/2) + 8*q^(9/2) + 4*q^(7/2))*x1^(9/2)*x2^(17/2) + (2*q^(41/2) + 4*q^(39/2) + 8*q^(37/2) + 14*q^(35/2) + 24*q^(33/2) + 62*q^(31/2) + 52*q^(29/2) + 60*q^(27/2) + 54*q^(25/2) + 44*q^(23/2) + 16*q^(21/2) + 12*q^(19/2))*x1^(11/2)*x2^(17/2) + (-7*q^(43/2) - 5*q^(41/2) - 8*q^(39/2) - 9*q^(37/2) - 11*q^(35/2) - 9*q^(33/2) - 7*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - q^(25/2))*x1^(13/2)*x2^(17/2) + (-16*q^(25/2) - 28*q^(23/2) - 80*q^(21/2) - 158*q^(19/2) - 306*q^(17/2) - 458*q^(15/2) - 766*q^(13/2) - 996*q^(11/2) - 1350*q^(9/2) - 1462*q^(7/2) - 1484*q^(5/2) - 1078*q^(3/2) - 858*q^(1/2) + 376*q^(-1/2) + 648*q^(-3/2) + 500*q^(-5/2) + 164*q^(-7/2) - 88*q^(-9/2) - 160*q^(-11/2) - 120*q^(-13/2) - 54*q^(-15/2) - 24*q^(-17/2) - 6*q^(-19/2) - 2*q^(-21/2) - 2*q^(-23/2))*x1^(1/2)*x2^(19/2) + (14*q^(21/2) + 52*q^(19/2) + 126*q^(17/2) + 304*q^(15/2) + 598*q^(13/2) + 1112*q^(11/2) + 1544*q^(9/2) + 1724*q^(7/2) + 1277*q^(5/2) + 418*q^(3/2) - 1198*q^(1/2) - 1457*q^(-1/2) - 990*q^(-3/2) - 344*q^(-5/2) + 56*q^(-7/2) + 152*q^(-9/2) + 102*q^(-11/2) + 38*q^(-13/2) + 12*q^(-15/2))*x1^(3/2)*x2^(19/2) + (-2*q^(27/2) - 2*q^(25/2) - 14*q^(23/2) - 20*q^(21/2) - 124*q^(19/2) - 248*q^(17/2) - 694*q^(15/2) - 1170*q^(13/2) - 1706*q^(11/2) - 1458*q^(9/2) - 802*q^(7/2) + 692*q^(5/2) + 1294*q^(3/2) + 1070*q^(1/2) + 520*q^(-1/2) + 100*q^(-3/2) - 56*q^(-5/2) - 64*q^(-7/2) - 24*q^(-9/2) - 8*q^(-11/2))*x1^(5/2)*x2^(19/2) + (2*q^(37/2) + 2*q^(35/2) + 4*q^(33/2) + 16*q^(31/2) + 20*q^(29/2) + 40*q^(27/2) + 100*q^(25/2) + 156*q^(23/2) + 344*q^(21/2) + 674*q^(19/2) + 1060*q^(17/2) + 1214*q^(15/2) + 1138*q^(13/2) + 268*q^(11/2) - 341*q^(9/2) - 664*q^(7/2) - 520*q^(5/2) - 257*q^(3/2) - 66*q^(1/2) + 6*q^(-1/2) + 10*q^(-3/2) + 6*q^(-5/2))*x1^(7/2)*x2^(19/2) + (-2*q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 8*q^(39/2) - 22*q^(37/2) - 28*q^(35/2) - 62*q^(33/2) - 92*q^(31/2) - 206*q^(29/2) - 304*q^(27/2) - 494*q^(25/2) - 652*q^(23/2) - 834*q^(21/2) - 564*q^(19/2) - 348*q^(17/2) - 48*q^(15/2) + 150*q^(13/2) + 182*q^(11/2) + 110*q^(9/2) + 48*q^(7/2) + 12*q^(5/2))*x1^(9/2)*x2^(19/2) + (2*q^(51/2) + 2*q^(49/2) + 6*q^(47/2) + 8*q^(45/2) + 16*q^(43/2) + 36*q^(41/2) + 66*q^(39/2) + 102*q^(37/2) + 158*q^(35/2) + 236*q^(33/2) + 364*q^(31/2) + 322*q^(29/2) + 314*q^(27/2) + 250*q^(25/2) + 162*q^(23/2) + 42*q^(21/2) + 10*q^(19/2) - 22*q^(17/2) - 16*q^(15/2) - 8*q^(13/2) - 2*q^(11/2))*x1^(11/2)*x2^(19/2) + (-2*q^(55/2) - 4*q^(53/2) - 8*q^(51/2) - 14*q^(49/2) - 24*q^(47/2) - 38*q^(45/2) - 88*q^(43/2) - 82*q^(41/2) - 102*q^(39/2) - 104*q^(37/2) - 106*q^(35/2) - 80*q^(33/2) - 58*q^(31/2) - 32*q^(29/2) - 20*q^(27/2) - 6*q^(25/2))*x1^(13/2)*x2^(19/2) + (8*q^(57/2) + 6*q^(55/2) + 10*q^(53/2) + 12*q^(51/2) + 16*q^(49/2) + 16*q^(47/2) + 18*q^(45/2) + 12*q^(43/2) + 12*q^(41/2) + 8*q^(39/2) + 6*q^(37/2) + 2*q^(35/2) + 2*q^(33/2))*x1^(15/2)*x2^(19/2)
(1/2, 5/2) x1^(-1/2)x2^(-5/2) q^(-23/2)
(-q^(1/2))*x1^(-1/2)*x2^(-5/2) + (-6*q^(1/2))*x1^(-1/2)*x2^(-7/2) + (2*q^(3/2))*x1^(-3/2)*x2^(-7/2) + (-3*q^(3/2) - 21*q^(1/2))*x1^(-1/2)*x2^(-9/2) + (2*q^(5/2) + 12*q^(3/2))*x1^(-3/2)*x2^(-9/2) + (-3*q^(7/2) - q^(5/2))*x1^(-5/2)*x2^(-9/2) + (-8*q^(5/2) - 18*q^(3/2) - 58*q^(1/2) + 2*q^(-3/2))*x1^(-1/2)*x2^(-11/2) + (2*q^(7/2) + 18*q^(5/2) + 42*q^(3/2) - 2*q^(-1/2))*x1^(-3/2)*x2^(-11/2) + (-2*q^(11/2) - 4*q^(9/2) - 20*q^(7/2) - 6*q^(5/2))*x1^(-5/2)*x2^(-11/2) + (4*q^(13/2) + 2*q^(11/2) + 2*q^(9/2))*x1^(-7/2)*x2^(-11/2) + (-5*q^(9/2) - 18*q^(7/2) - 49*q^(5/2) - 69*q^(3/2) - 138*q^(1/2) + 13*q^(-3/2) + 5*q^(-5/2) - q^(-7/2))*x1^(-1/2)*x2^(-13/2) + (2*q^(9/2) + 34*q^(7/2) + 78*q^(5/2) + 116*q^(3/2) - 6*q^(1/2) - 16*q^(-1/2) - 6*q^(-3/2))*x1^(-3/2)*x2^(-13/2) + (-2*q^(15/2) - 2*q^(13/2) - 17*q^(11/2) - 36*q^(9/2) - 78*q^(7/2) - 21*q^(5/2) + 4*q^(3/2) + 4*q^(1/2))*x1^(-5/2)*x2^(-13/2) + (2*q^(19/2) + 4*q^(17/2) + 8*q^(15/2) + 30*q^(13/2) + 16*q^(11/2) + 12*q^(9/2))*x1^(-7/2)*x2^(-13/2) + (-5*q^(21/2) - 3*q^(19/2) - 4*q^(17/2) - 3*q^(15/2) - q^(13/2))*x1^(-9/2)*x2^(-13/2) + (-12*q^(13/2) - 20*q^(11/2) - 66*q^(9/2) - 116*q^(7/2) - 192*q^(5/2) - 206*q^(3/2) - 294*q^(1/2) + 8*q^(-1/2) + 54*q^(-3/2) + 34*q^(-5/2) + 2*q^(-7/2) - 6*q^(-9/2) - 2*q^(-11/2))*x1^(-1/2)*x2^(-15/2) + (12*q^(11/2) + 70*q^(9/2) + 176*q^(7/2) + 254*q^(5/2) + 262*q^(3/2) - 46*q^(1/2) - 89*q^(-1/2) - 48*q^(-3/2) - 8*q^(-5/2) + 2*q^(-7/2))*x1^(-3/2)*x2^(-15/2) + (-2*q^(19/2) - 2*q^(17/2) - 14*q^(15/2) - 24*q^(13/2) - 112*q^(11/2) - 170*q^(9/2) - 230*q^(7/2) - 42*q^(5/2) + 42*q^(3/2) + 38*q^(1/2) + 12*q^(-1/2))*x1^(-5/2)*x2^(-15/2) + (2*q^(25/2) + 2*q^(23/2) + 6*q^(21/2) + 20*q^(19/2) + 38*q^(17/2) + 70*q^(15/2) + 132*q^(13/2) + 72*q^(11/2) + 36*q^(9/2) - 8*q^(7/2) - 8*q^(5/2) - 2*q^(3/2))*x1^(-7/2)*x2^(-15/2) + (-2*q^(29/2) - 4*q^(27/2) - 8*q^(25/2) - 14*q^(23/2) - 44*q^(21/2) - 30*q^(19/2) - 32*q^(17/2) - 20*q^(15/2) - 6*q^(13/2))*x1^(-9/2)*x2^(-15/2) + (6*q^(31/2) + 4*q^(29/2) + 6*q^(27/2) + 6*q^(25/2) + 6*q^(23/2) + 2*q^(21/2) + 2*q^(19/2))*x1^(-11/2)*x2^(-15/2) + (-7*q^(19/2) - 26*q^(17/2) - 51*q^(15/2) - 126*q^(13/2) - 198*q^(11/2) - 357*q^(9/2) - 470*q^(7/2) - 585*q^(5/2) - 516*q^(3/2) - 555*q^(1/2) + 70*q^(-1/2) + 194*q^(-3/2) + 144*q^(-5/2) + 34*q^(-7/2) - 29*q^(-9/2) - 29*q^(-11/2) - 13*q^(-13/2) - 3*q^(-15/2) - q^(-17/2))*x1^(-1/2)*x2^(-17/2) + (24*q^(15/2) + 52*q^(13/2) + 202*q^(11/2) + 408*q^(9/2) + 634*q^(7/2) + 650*q^(5/2) + 470*q^(3/2) - 262*q^(1/2) - 384*q^(-1/2) - 246*q^(-3/2) - 68*q^(-5/2) + 12*q^(-7/2) + 18*q^(-9/2) + 6*q^(-11/2))*x1^(-3/2)*x2^(-17/2) + (-2*q^(23/2) - 2*q^(21/2) - 14*q^(19/2) - 20*q^(17/2) - 98*q^(15/2) - 225*q^(13/2) - 503*q^(11/2) - 575*q^(9/2) - 531*q^(7/2) + 22*q^(5/2) + 265*q^(3/2) + 230*q^(1/2) + 98*q^(-1/2) + 15*q^(-3/2) - 5*q^(-5/2) - 3*q^(-7/2))*x1^(-5/2)*x2^(-17/2) + (2*q^(31/2) + 2*q^(29/2) + 4*q^(27/2) + 18*q^(25/2) + 22*q^(23/2) + 56*q^(21/2) + 122*q^(19/2) + 238*q^(17/2) + 338*q^(15/2) + 446*q^(13/2) + 202*q^(11/2) + 36*q^(9/2) - 98*q^(7/2) - 82*q^(5/2) - 36*q^(3/2) - 6*q^(1/2))*x1^(-7/2)*x2^(-17/2) + (-2*q^(37/2) - 2*q^(35/2) - 6*q^(33/2) - 8*q^(31/2) - 29*q^(29/2) - 47*q^(27/2) - 81*q^(25/2) - 129*q^(23/2) - 221*q^(21/2) - 160*q^(19/2) - 136*q^(17/2) - 66*q^(15/2) - 5*q^(13/2) + 16*q^(11/2) + 8*q^(9/2) + 4*q^(7/2))*x1^(-9/2)*x2^(-17/2) + (2*q^(41/2) + 4*q^(39/2) + 8*q^(37/2) + 14*q^(35/2) + 24*q^(33/2) + 62*q^(31/2) + 52*q^(29/2) + 60*q^(27/2) + 54*q^(25/2) + 44*q^(23/2) + 16*q^(21/2) + 12*q^(19/2))*x1^(-11/2)*x2^(-17/2) + (-7*q^(43/2) - 5*q^(41/2) - 8*q^(39/2) - 9*q^(37/2) - 11*q^(35/2) - 9*q^(33/2) - 7*q^(31/2) - 4*q^(29/2) - 3*q^(27/2) - q^(25/2))*x1^(-13/2)*x2^(-17/2) + (-16*q^(25/2) - 28*q^(23/2) - 80*q^(21/2) - 158*q^(19/2) - 306*q^(17/2) - 458*q^(15/2) - 766*q^(13/2) - 996*q^(11/2) - 1350*q^(9/2) - 1462*q^(7/2) - 1484*q^(5/2) - 1078*q^(3/2) - 858*q^(1/2) + 376*q^(-1/2) + 648*q^(-3/2) + 500*q^(-5/2) + 164*q^(-7/2) - 88*q^(-9/2) - 160*q^(-11/2) - 120*q^(-13/2) - 54*q^(-15/2) - 24*q^(-17/2) - 6*q^(-19/2) - 2*q^(-21/2) - 2*q^(-23/2))*x1^(-1/2)*x2^(-19/2) + (14*q^(21/2) + 52*q^(19/2) + 126*q^(17/2) + 304*q^(15/2) + 598*q^(13/2) + 1112*q^(11/2) + 1544*q^(9/2) + 1724*q^(7/2) + 1277*q^(5/2) + 418*q^(3/2) - 1198*q^(1/2) - 1457*q^(-1/2) - 990*q^(-3/2) - 344*q^(-5/2) + 56*q^(-7/2) + 152*q^(-9/2) + 102*q^(-11/2) + 38*q^(-13/2) + 12*q^(-15/2))*x1^(-3/2)*x2^(-19/2) + (-2*q^(27/2) - 2*q^(25/2) - 14*q^(23/2) - 20*q^(21/2) - 124*q^(19/2) - 248*q^(17/2) - 694*q^(15/2) - 1170*q^(13/2) - 1706*q^(11/2) - 1458*q^(9/2) - 802*q^(7/2) + 692*q^(5/2) + 1294*q^(3/2) + 1070*q^(1/2) + 520*q^(-1/2) + 100*q^(-3/2) - 56*q^(-5/2) - 64*q^(-7/2) - 24*q^(-9/2) - 8*q^(-11/2))*x1^(-5/2)*x2^(-19/2) + (2*q^(37/2) + 2*q^(35/2) + 4*q^(33/2) + 16*q^(31/2) + 20*q^(29/2) + 40*q^(27/2) + 100*q^(25/2) + 156*q^(23/2) + 344*q^(21/2) + 674*q^(19/2) + 1060*q^(17/2) + 1214*q^(15/2) + 1138*q^(13/2) + 268*q^(11/2) - 341*q^(9/2) - 664*q^(7/2) - 520*q^(5/2) - 257*q^(3/2) - 66*q^(1/2) + 6*q^(-1/2) + 10*q^(-3/2) + 6*q^(-5/2))*x1^(-7/2)*x2^(-19/2) + (-2*q^(45/2) - 2*q^(43/2) - 4*q^(41/2) - 8*q^(39/2) - 22*q^(37/2) - 28*q^(35/2) - 62*q^(33/2) - 92*q^(31/2) - 206*q^(29/2) - 304*q^(27/2) - 494*q^(25/2) - 652*q^(23/2) - 834*q^(21/2) - 564*q^(19/2) - 348*q^(17/2) - 48*q^(15/2) + 150*q^(13/2) + 182*q^(11/2) + 110*q^(9/2) + 48*q^(7/2) + 12*q^(5/2))*x1^(-9/2)*x2^(-19/2) + (2*q^(51/2) + 2*q^(49/2) + 6*q^(47/2) + 8*q^(45/2) + 16*q^(43/2) + 36*q^(41/2) + 66*q^(39/2) + 102*q^(37/2) + 158*q^(35/2) + 236*q^(33/2) + 364*q^(31/2) + 322*q^(29/2) + 314*q^(27/2) + 250*q^(25/2) + 162*q^(23/2) + 42*q^(21/2) + 10*q^(19/2) - 22*q^(17/2) - 16*q^(15/2) - 8*q^(13/2) - 2*q^(11/2))*x1^(-11/2)*x2^(-19/2) + (-2*q^(55/2) - 4*q^(53/2) - 8*q^(51/2) - 14*q^(49/2) - 24*q^(47/2) - 38*q^(45/2) - 88*q^(43/2) - 82*q^(41/2) - 102*q^(39/2) - 104*q^(37/2) - 106*q^(35/2) - 80*q^(33/2) - 58*q^(31/2) - 32*q^(29/2) - 20*q^(27/2) - 6*q^(25/2))*x1^(-13/2)*x2^(-19/2) + (8*q^(57/2) + 6*q^(55/2) + 10*q^(53/2) + 12*q^(51/2) + 16*q^(49/2) + 16*q^(47/2) + 18*q^(45/2) + 12*q^(43/2) + 12*q^(41/2) + 8*q^(39/2) + 6*q^(37/2) + 2*q^(35/2) + 2*q^(33/2))*x1^(-15/2)*x2^(-19/2)

Braid

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

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(5/2) + 6*A1^(1/2)*A2^(3/2) - 12*A1^(1/2)*A2^(1/2) + 10*A1^(1/2)*A2^(-1/2) - 2*A1^(1/2)*A2^(-3/2) - 2*A1^(-1/2)*A2^(3/2) + 10*A1^(-1/2)*A2^(1/2) - 12*A1^(-1/2)*A2^(-1/2) + 6*A1^(-1/2)*A2^(-3/2) - A1^(-1/2)*A2^(-5/2)

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, -5) yes
(1, -3) no
(1, 5) yes
(-1, 3) no
Dual Thurston polygon-101-505h1h2

HFL polytope

Poincaré polynomial
m^(-5)*A1^(-1)*A2^(-3) + 7*m^(-4)*A1^(-1)*A2^(-2) + m^(-4)*A2^(-3) + 18*m^(-3)*A1^(-1)*A2^(-1) + 9*m^(-3)*A2^(-2) + 22*m^(-2)*A1^(-1) + 30*m^(-2)*A2^(-1) + 2*m^(-2)*A1*A2^(-2) + 12*m^(-1)*A1^(-1)*A2 + 44*m^(-1) + 12*m^(-1)*A1*A2^(-1) + 2*A1^(-1)*A2^2 + 30*A2 + 22*A1 + 9*m*A2^2 + 18*m*A1*A2 + m^2*A2^3 + 7*m^2*A1*A2^2 + m^3*A1*A2^3
VertexMaslovRank
(-1, -3)-51
(0, -3)-41
(1, -2)-22
(1, 3)31
(0, 3)21
(-1, 2)02
HFL polytope-10105A1A2

Record

FL/HFL Links

orderOption(int) 1294
namestring L11a62{1}
statusstring success
slugstring L11a62_1_d533b856
result_filestring details/L11a62_1_d533b856.json
complexity_scoreOption(int) 242
strandsOption(int) null
crossingsOption(int) 11
component_countOption(int) 2
girthOption(int) 6
total_rankOption(int) 248
wall_secondsOption(float) 0.003515
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 2
support_sizeOption(int) 19
vertex_countOption(int) 6
fibered_vertex_countOption(int) 2
polytope_statusstring computed
alexander_support_sizeOption(int) 10
alexander_vertex_countOption(int) 4
alexander_relationstring not_computed
fk_countint 1
detailsRowRef(FLHFLLinks)
{
  "dataset": "FLHFLLinks",
  "key": "L11a62_1_d533b856"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L11a62_1_d533b856