details/L9a23_1_abab8d79.json
FL expansions
| Newt(ΔL) vertex |
Exposing functional |
Leading x-power |
Leading q-power |
Inversion datum |
Inversion cycle |
FL |
(0, -2) |
(1/2, 1) |
x1^(0)x2^(2) |
q^(5/2) |
{"0": [-1, 1, 1, 1, -1, 1], "1": [1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1]}
|
|
(2*q^(-27/2) + 2*q^(-29/2) + 6*q^(-31/2) + 8*q^(-33/2) + 12*q^(-35/2) + 12*q^(-37/2) + 18*q^(-39/2) + 16*q^(-41/2) + 16*q^(-43/2) + 12*q^(-45/2) + 10*q^(-47/2) + 6*q^(-49/2) + 8*q^(-51/2))*x1^(-7)*x2^(9) + (-q^(-19/2) - 3*q^(-21/2) - 4*q^(-23/2) - 7*q^(-25/2) - 9*q^(-27/2) - 11*q^(-29/2) - 9*q^(-31/2) - 8*q^(-33/2) - 5*q^(-35/2) - 7*q^(-37/2))*x1^(-6)*x2^(8) + (-3*q^(-19/2) - 12*q^(-21/2) - 24*q^(-23/2) - 45*q^(-25/2) - 68*q^(-27/2) - 97*q^(-29/2) - 112*q^(-31/2) - 121*q^(-33/2) - 115*q^(-35/2) - 116*q^(-37/2) - 87*q^(-39/2) - 64*q^(-41/2) - 43*q^(-43/2) - 28*q^(-45/2) - 16*q^(-47/2) - 9*q^(-49/2))*x1^(-6)*x2^(9) + (2*q^(-13/2) + 2*q^(-15/2) + 6*q^(-17/2) + 6*q^(-19/2) + 6*q^(-21/2) + 4*q^(-23/2) + 6*q^(-25/2))*x1^(-5)*x2^(7) + (6*q^(-13/2) + 12*q^(-15/2) + 30*q^(-17/2) + 46*q^(-19/2) + 58*q^(-21/2) + 62*q^(-23/2) + 68*q^(-25/2) + 52*q^(-27/2) + 36*q^(-29/2) + 24*q^(-31/2) + 14*q^(-33/2) + 8*q^(-35/2))*x1^(-5)*x2^(8) + (-q^(-5/2) - 4*q^(-7/2) - 8*q^(-9/2) - 13*q^(-11/2) - 6*q^(-13/2) + 9*q^(-15/2) + 67*q^(-17/2) + 140*q^(-19/2) + 233*q^(-21/2) + 309*q^(-23/2) + 394*q^(-25/2) + 409*q^(-27/2) + 396*q^(-29/2) + 339*q^(-31/2) + 281*q^(-33/2) + 210*q^(-35/2) + 137*q^(-37/2) + 80*q^(-39/2) + 49*q^(-41/2) + 22*q^(-43/2) + 12*q^(-45/2) + q^(-47/2))*x1^(-5)*x2^(9) + (-q^(-7/2) - 3*q^(-9/2) - 4*q^(-11/2) - 3*q^(-13/2) - 5*q^(-15/2))*x1^(-4)*x2^(6) + (-3*q^(-7/2) - 12*q^(-9/2) - 24*q^(-11/2) - 29*q^(-13/2) - 40*q^(-15/2) - 29*q^(-17/2) - 20*q^(-19/2) - 12*q^(-21/2) - 7*q^(-23/2))*x1^(-4)*x2^(7) + (2*q^(-1/2) + 4*q^(-3/2) + 9*q^(-5/2) + 5*q^(-7/2) - 17*q^(-9/2) - 61*q^(-11/2) - 104*q^(-13/2) - 169*q^(-15/2) - 183*q^(-17/2) - 183*q^(-19/2) - 151*q^(-21/2) - 125*q^(-23/2) - 71*q^(-25/2) - 44*q^(-27/2) - 20*q^(-29/2) - 11*q^(-31/2) - q^(-33/2))*x1^(-4)*x2^(8) + (4*q^(1/2) + 14*q^(-1/2) + 36*q^(-3/2) + 67*q^(-5/2) + 86*q^(-7/2) + 62*q^(-9/2) - 29*q^(-11/2) - 175*q^(-13/2) - 413*q^(-15/2) - 600*q^(-17/2) - 761*q^(-19/2) - 818*q^(-21/2) - 817*q^(-23/2) - 689*q^(-25/2) - 557*q^(-27/2) - 393*q^(-29/2) - 272*q^(-31/2) - 158*q^(-33/2) - 85*q^(-35/2) - 41*q^(-37/2) - 22*q^(-39/2) - 5*q^(-41/2) - 2*q^(-43/2))*x1^(-4)*x2^(9) + (2*q^(-3/2) + 2*q^(-5/2) + 4*q^(-7/2))*x1^(-3)*x2^(5) + (6*q^(-3/2) + 12*q^(-5/2) + 22*q^(-7/2) + 16*q^(-9/2) + 10*q^(-11/2) + 6*q^(-13/2))*x1^(-3)*x2^(6) + (-q^(3/2) - 4*q^(1/2) - 6*q^(-1/2) + 7*q^(-3/2) + 27*q^(-5/2) + 70*q^(-7/2) + 80*q^(-9/2) + 81*q^(-11/2) + 66*q^(-13/2) + 39*q^(-15/2) + 18*q^(-17/2) + 10*q^(-19/2) + q^(-21/2))*x1^(-3)*x2^(7) + (-2*q^(5/2) - 11*q^(3/2) - 27*q^(1/2) - 43*q^(-1/2) - 31*q^(-3/2) + 16*q^(-5/2) + 130*q^(-7/2) + 223*q^(-9/2) + 302*q^(-11/2) + 331*q^(-13/2) + 287*q^(-15/2) + 218*q^(-17/2) + 151*q^(-19/2) + 85*q^(-21/2) + 39*q^(-23/2) + 21*q^(-25/2) + 5*q^(-27/2) + 2*q^(-29/2))*x1^(-3)*x2^(8) + (2*q^(11/2) + 3*q^(9/2) + 4*q^(7/2) - 10*q^(5/2) - 45*q^(3/2) - 111*q^(1/2) - 188*q^(-1/2) - 222*q^(-3/2) - 167*q^(-5/2) + 62*q^(-7/2) + 354*q^(-9/2) + 715*q^(-11/2) + 1013*q^(-13/2) + 1151*q^(-15/2) + 1127*q^(-17/2) + 1004*q^(-19/2) + 775*q^(-21/2) + 545*q^(-23/2) + 357*q^(-25/2) + 208*q^(-27/2) + 112*q^(-29/2) + 58*q^(-31/2) + 23*q^(-33/2) + 11*q^(-35/2) + 4*q^(-37/2) + q^(-39/2))*x1^(-3)*x2^(9) + (-q^(1/2) - 3*q^(-1/2))*x1^(-2)*x2^(4) + (-3*q^(1/2) - 12*q^(-1/2) - 8*q^(-3/2) - 5*q^(-5/2))*x1^(-2)*x2^(5) + (2*q^(5/2) + 3*q^(3/2) - 3*q^(1/2) - 29*q^(-1/2) - 34*q^(-3/2) - 37*q^(-5/2) - 16*q^(-7/2) - 9*q^(-9/2) - q^(-11/2))*x1^(-2)*x2^(6) + (4*q^(7/2) + 12*q^(5/2) + 21*q^(3/2) + 10*q^(1/2) - 46*q^(-1/2) - 87*q^(-3/2) - 130*q^(-5/2) - 107*q^(-7/2) - 81*q^(-9/2) - 41*q^(-11/2) - 20*q^(-13/2) - 5*q^(-15/2) - 2*q^(-17/2))*x1^(-2)*x2^(7) + (-q^(13/2) - 2*q^(11/2) + 2*q^(9/2) + 18*q^(7/2) + 49*q^(5/2) + 83*q^(3/2) + 79*q^(1/2) - 26*q^(-1/2) - 150*q^(-3/2) - 318*q^(-5/2) - 373*q^(-7/2) - 383*q^(-9/2) - 287*q^(-11/2) - 203*q^(-13/2) - 111*q^(-15/2) - 63*q^(-17/2) - 23*q^(-19/2) - 11*q^(-21/2) - 4*q^(-23/2) - q^(-25/2))*x1^(-2)*x2^(8) + (-2*q^(17/2) - 6*q^(15/2) - 15*q^(13/2) - 15*q^(11/2) - 3*q^(9/2) + 53*q^(7/2) + 148*q^(5/2) + 268*q^(3/2) + 313*q^(1/2) + 170*q^(-1/2) - 112*q^(-3/2) - 567*q^(-5/2) - 926*q^(-7/2) - 1203*q^(-9/2) - 1198*q^(-11/2) - 1064*q^(-13/2) - 803*q^(-15/2) - 575*q^(-17/2) - 346*q^(-19/2) - 209*q^(-21/2) - 110*q^(-23/2) - 57*q^(-25/2) - 27*q^(-27/2) - 13*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2))*x1^(-2)*x2^(9) + (2*q^(3/2))*x1^(-1)*x2^(3) + (6*q^(3/2) + 4*q^(1/2))*x1^(-1)*x2^(4) + (-q^(7/2) - 2*q^(5/2) + 13*q^(3/2) + 16*q^(1/2) + 8*q^(-1/2) + q^(-3/2))*x1^(-1)*x2^(5) + (-2*q^(9/2) - 7*q^(7/2) - 8*q^(5/2) + 23*q^(3/2) + 43*q^(1/2) + 38*q^(-1/2) + 22*q^(-3/2) + 5*q^(-5/2) + 2*q^(-7/2))*x1^(-1)*x2^(6) + (q^(13/2) - 2*q^(11/2) - 10*q^(9/2) - 25*q^(7/2) - 27*q^(5/2) + 33*q^(3/2) + 94*q^(1/2) + 120*q^(-1/2) + 104*q^(-3/2) + 61*q^(-5/2) + 28*q^(-7/2) + 11*q^(-9/2) + 4*q^(-11/2) + q^(-13/2))*x1^(-1)*x2^(7) + (2*q^(17/2) + 4*q^(15/2) + 5*q^(13/2) - 7*q^(11/2) - 35*q^(9/2) - 72*q^(7/2) - 84*q^(5/2) + 28*q^(3/2) + 180*q^(1/2) + 301*q^(-1/2) + 344*q^(-3/2) + 290*q^(-5/2) + 201*q^(-7/2) + 110*q^(-9/2) + 62*q^(-11/2) + 28*q^(-13/2) + 13*q^(-15/2) + 4*q^(-17/2) + 2*q^(-19/2))*x1^(-1)*x2^(8) + (2*q^(21/2) + 6*q^(19/2) + 18*q^(17/2) + 23*q^(15/2) + 23*q^(13/2) - 15*q^(11/2) - 93*q^(9/2) - 195*q^(7/2) - 237*q^(5/2) - 46*q^(3/2) + 289*q^(1/2) + 661*q^(-1/2) + 928*q^(-3/2) + 989*q^(-5/2) + 875*q^(-7/2) + 653*q^(-9/2) + 439*q^(-11/2) + 274*q^(-13/2) + 161*q^(-15/2) + 86*q^(-17/2) + 46*q^(-19/2) + 22*q^(-21/2) + 9*q^(-23/2) + 4*q^(-25/2) + q^(-27/2))*x1^(-1)*x2^(9) + (-q^(5/2))*x2^(2) + (-3*q^(5/2))*x2^(3) + (q^(7/2) - 8*q^(5/2) - q^(3/2))*x2^(4) + (2*q^(9/2) + q^(7/2) - 18*q^(5/2) - 7*q^(3/2) - 2*q^(1/2))*x2^(5) + (2*q^(11/2) + 5*q^(9/2) - 40*q^(5/2) - 25*q^(3/2) - 15*q^(1/2) - 4*q^(-1/2) - q^(-3/2))*x2^(6) + (-2*q^(15/2) + 2*q^(13/2) + 6*q^(11/2) + 11*q^(9/2) - 8*q^(7/2) - 85*q^(5/2) - 77*q^(3/2) - 62*q^(1/2) - 32*q^(-1/2) - 14*q^(-3/2) - 4*q^(-5/2) - 2*q^(-7/2))*x2^(7) + (-3*q^(19/2) - 3*q^(17/2) - 6*q^(15/2) + 3*q^(13/2) + 17*q^(11/2) + 17*q^(9/2) - 31*q^(7/2) - 188*q^(5/2) - 211*q^(3/2) - 210*q^(1/2) - 148*q^(-1/2) - 93*q^(-3/2) - 43*q^(-5/2) - 24*q^(-7/2) - 9*q^(-9/2) - 4*q^(-11/2) - q^(-13/2))*x2^(8) + (-2*q^(23/2) - 4*q^(21/2) - 16*q^(19/2) - 19*q^(17/2) - 26*q^(15/2) + 2*q^(13/2) + 31*q^(11/2) + 19*q^(9/2) - 107*q^(7/2) - 421*q^(5/2) - 558*q^(3/2) - 630*q^(1/2) - 549*q^(-1/2) - 422*q^(-3/2) - 268*q^(-5/2) - 170*q^(-7/2) - 92*q^(-9/2) - 54*q^(-11/2) - 26*q^(-13/2) - 12*q^(-15/2) - 4*q^(-17/2) - 2*q^(-19/2))*x2^(9) + (q^(7/2))*x1*x2^(3) + (q^(9/2) + 3*q^(7/2))*x1*x2^(4) + (q^(11/2) + 4*q^(9/2) + 7*q^(7/2) + q^(5/2))*x1*x2^(5) + (3*q^(13/2) + 4*q^(11/2) + 12*q^(9/2) + 18*q^(7/2) + 5*q^(5/2) + 2*q^(3/2))*x1*x2^(6) + (2*q^(17/2) + 5*q^(15/2) + 10*q^(13/2) + 17*q^(11/2) + 35*q^(9/2) + 45*q^(7/2) + 23*q^(5/2) + 11*q^(3/2) + 4*q^(1/2) + q^(-1/2))*x1*x2^(7) + (2*q^(21/2) + 5*q^(19/2) + 19*q^(17/2) + 22*q^(15/2) + 35*q^(13/2) + 60*q^(11/2) + 100*q^(9/2) + 120*q^(7/2) + 81*q^(5/2) + 53*q^(3/2) + 26*q^(1/2) + 13*q^(-1/2) + 4*q^(-3/2) + 2*q^(-5/2))*x1*x2^(8) + (3*q^(25/2) + 9*q^(23/2) + 25*q^(21/2) + 48*q^(19/2) + 72*q^(17/2) + 85*q^(15/2) + 126*q^(13/2) + 194*q^(11/2) + 286*q^(9/2) + 332*q^(7/2) + 271*q^(5/2) + 205*q^(3/2) + 132*q^(1/2) + 78*q^(-1/2) + 42*q^(-3/2) + 22*q^(-5/2) + 9*q^(-7/2) + 4*q^(-9/2) + q^(-11/2))*x1*x2^(9) + (-q^(11/2))*x1^(2)*x2^(4) + (-q^(15/2) - q^(13/2) - 3*q^(11/2))*x1^(2)*x2^(5) + (-q^(19/2) - q^(17/2) - 6*q^(15/2) - 3*q^(13/2) - 7*q^(11/2) - q^(9/2))*x1^(2)*x2^(6) + (-q^(23/2) - 3*q^(21/2) - 8*q^(19/2) - 8*q^(17/2) - 16*q^(15/2) - 12*q^(13/2) - 16*q^(11/2) - 5*q^(9/2) - 2*q^(7/2))*x1^(2)*x2^(7) + (-3*q^(27/2) - 5*q^(25/2) - 12*q^(23/2) - 19*q^(21/2) - 34*q^(19/2) - 29*q^(17/2) - 45*q^(15/2) - 39*q^(13/2) - 43*q^(11/2) - 19*q^(9/2) - 11*q^(7/2) - 4*q^(5/2) - q^(3/2))*x1^(2)*x2^(8) + (-2*q^(33/2) - 5*q^(31/2) - 10*q^(29/2) - 27*q^(27/2) - 41*q^(25/2) - 63*q^(23/2) - 82*q^(21/2) - 105*q^(19/2) - 105*q^(17/2) - 132*q^(15/2) - 121*q^(13/2) - 121*q^(11/2) - 74*q^(9/2) - 47*q^(7/2) - 25*q^(5/2) - 13*q^(3/2) - 4*q^(1/2) - 2*q^(-1/2))*x1^(2)*x2^(9) + (q^(17/2))*x1^(3)*x2^(5) + (q^(23/2) + q^(21/2) + q^(19/2) + 3*q^(17/2))*x1^(3)*x2^(6) + (q^(29/2) + q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 5*q^(21/2) + 3*q^(19/2) + 7*q^(17/2) + q^(15/2))*x1^(3)*x2^(7) + (q^(35/2) + q^(33/2) + 4*q^(31/2) + 9*q^(29/2) + 10*q^(27/2) + 12*q^(25/2) + 20*q^(23/2) + 16*q^(21/2) + 10*q^(19/2) + 16*q^(17/2) + 5*q^(15/2) + 2*q^(13/2))*x1^(3)*x2^(8) + (q^(41/2) + 3*q^(39/2) + 6*q^(37/2) + 13*q^(35/2) + 17*q^(33/2) + 28*q^(31/2) + 45*q^(29/2) + 45*q^(27/2) + 46*q^(25/2) + 56*q^(23/2) + 49*q^(21/2) + 37*q^(19/2) + 39*q^(17/2) + 19*q^(15/2) + 11*q^(13/2) + 4*q^(11/2) + q^(9/2))*x1^(3)*x2^(9) + (-q^(25/2))*x1^(4)*x2^(6) + (-q^(33/2) - q^(31/2) - q^(29/2) - q^(27/2) - 3*q^(25/2))*x1^(4)*x2^(7) + (-q^(41/2) - q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 7*q^(33/2) - 5*q^(31/2) - 5*q^(29/2) - 3*q^(27/2) - 7*q^(25/2) - q^(23/2))*x1^(4)*x2^(8) + (-q^(49/2) - q^(47/2) - 2*q^(45/2) - 5*q^(43/2) - 10*q^(41/2) - 11*q^(39/2) - 15*q^(37/2) - 14*q^(35/2) - 24*q^(33/2) - 20*q^(31/2) - 14*q^(29/2) - 10*q^(27/2) - 16*q^(25/2) - 5*q^(23/2) - 2*q^(21/2))*x1^(4)*x2^(9) + (q^(35/2))*x1^(5)*x2^(7) + (q^(45/2) + q^(43/2) + q^(41/2) + q^(39/2) + q^(37/2) + 3*q^(35/2))*x1^(5)*x2^(8) + (q^(55/2) + q^(53/2) + 2*q^(51/2) + 2*q^(49/2) + 3*q^(47/2) + 7*q^(45/2) + 6*q^(43/2) + 5*q^(41/2) + 5*q^(39/2) + 3*q^(37/2) + 7*q^(35/2) + q^(33/2))*x1^(5)*x2^(9) + (-q^(47/2))*x1^(6)*x2^(8) + (-q^(59/2) - q^(57/2) - q^(55/2) - q^(53/2) - q^(51/2) - q^(49/2) - 3*q^(47/2))*x1^(6)*x2^(9) + (q^(61/2))*x1^(7)*x2^(9)
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(0, -2) |
(1/2, 1) |
x1^(0)x2^(2) |
q^(5/2) |
{"0": [1, 1, 1, 1, 1, 1], "1": [1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1]}
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|
(2*q^(-27/2) + 2*q^(-29/2) + 6*q^(-31/2) + 8*q^(-33/2) + 12*q^(-35/2) + 12*q^(-37/2) + 18*q^(-39/2) + 16*q^(-41/2) + 16*q^(-43/2) + 12*q^(-45/2) + 10*q^(-47/2) + 6*q^(-49/2) + 8*q^(-51/2))*x1^(-7)*x2^(9) + (-q^(-19/2) - 3*q^(-21/2) - 4*q^(-23/2) - 7*q^(-25/2) - 9*q^(-27/2) - 11*q^(-29/2) - 9*q^(-31/2) - 8*q^(-33/2) - 5*q^(-35/2) - 7*q^(-37/2))*x1^(-6)*x2^(8) + (-3*q^(-19/2) - 12*q^(-21/2) - 24*q^(-23/2) - 45*q^(-25/2) - 68*q^(-27/2) - 97*q^(-29/2) - 112*q^(-31/2) - 121*q^(-33/2) - 115*q^(-35/2) - 116*q^(-37/2) - 87*q^(-39/2) - 64*q^(-41/2) - 43*q^(-43/2) - 28*q^(-45/2) - 16*q^(-47/2) - 9*q^(-49/2))*x1^(-6)*x2^(9) + (2*q^(-13/2) + 2*q^(-15/2) + 6*q^(-17/2) + 6*q^(-19/2) + 6*q^(-21/2) + 4*q^(-23/2) + 6*q^(-25/2))*x1^(-5)*x2^(7) + (6*q^(-13/2) + 12*q^(-15/2) + 30*q^(-17/2) + 46*q^(-19/2) + 58*q^(-21/2) + 62*q^(-23/2) + 68*q^(-25/2) + 52*q^(-27/2) + 36*q^(-29/2) + 24*q^(-31/2) + 14*q^(-33/2) + 8*q^(-35/2))*x1^(-5)*x2^(8) + (-q^(-5/2) - 4*q^(-7/2) - 8*q^(-9/2) - 13*q^(-11/2) - 6*q^(-13/2) + 9*q^(-15/2) + 67*q^(-17/2) + 140*q^(-19/2) + 233*q^(-21/2) + 309*q^(-23/2) + 394*q^(-25/2) + 409*q^(-27/2) + 396*q^(-29/2) + 339*q^(-31/2) + 281*q^(-33/2) + 210*q^(-35/2) + 137*q^(-37/2) + 80*q^(-39/2) + 49*q^(-41/2) + 22*q^(-43/2) + 12*q^(-45/2) + q^(-47/2))*x1^(-5)*x2^(9) + (-q^(-7/2) - 3*q^(-9/2) - 4*q^(-11/2) - 3*q^(-13/2) - 5*q^(-15/2))*x1^(-4)*x2^(6) + (-3*q^(-7/2) - 12*q^(-9/2) - 24*q^(-11/2) - 29*q^(-13/2) - 40*q^(-15/2) - 29*q^(-17/2) - 20*q^(-19/2) - 12*q^(-21/2) - 7*q^(-23/2))*x1^(-4)*x2^(7) + (2*q^(-1/2) + 4*q^(-3/2) + 9*q^(-5/2) + 5*q^(-7/2) - 17*q^(-9/2) - 61*q^(-11/2) - 104*q^(-13/2) - 169*q^(-15/2) - 183*q^(-17/2) - 183*q^(-19/2) - 151*q^(-21/2) - 125*q^(-23/2) - 71*q^(-25/2) - 44*q^(-27/2) - 20*q^(-29/2) - 11*q^(-31/2) - q^(-33/2))*x1^(-4)*x2^(8) + (4*q^(1/2) + 14*q^(-1/2) + 36*q^(-3/2) + 67*q^(-5/2) + 86*q^(-7/2) + 62*q^(-9/2) - 29*q^(-11/2) - 175*q^(-13/2) - 413*q^(-15/2) - 600*q^(-17/2) - 761*q^(-19/2) - 818*q^(-21/2) - 817*q^(-23/2) - 689*q^(-25/2) - 557*q^(-27/2) - 393*q^(-29/2) - 272*q^(-31/2) - 158*q^(-33/2) - 85*q^(-35/2) - 41*q^(-37/2) - 22*q^(-39/2) - 5*q^(-41/2) - 2*q^(-43/2))*x1^(-4)*x2^(9) + (2*q^(-3/2) + 2*q^(-5/2) + 4*q^(-7/2))*x1^(-3)*x2^(5) + (6*q^(-3/2) + 12*q^(-5/2) + 22*q^(-7/2) + 16*q^(-9/2) + 10*q^(-11/2) + 6*q^(-13/2))*x1^(-3)*x2^(6) + (-q^(3/2) - 4*q^(1/2) - 6*q^(-1/2) + 7*q^(-3/2) + 27*q^(-5/2) + 70*q^(-7/2) + 80*q^(-9/2) + 81*q^(-11/2) + 66*q^(-13/2) + 39*q^(-15/2) + 18*q^(-17/2) + 10*q^(-19/2) + q^(-21/2))*x1^(-3)*x2^(7) + (-2*q^(5/2) - 11*q^(3/2) - 27*q^(1/2) - 43*q^(-1/2) - 31*q^(-3/2) + 16*q^(-5/2) + 130*q^(-7/2) + 223*q^(-9/2) + 302*q^(-11/2) + 331*q^(-13/2) + 287*q^(-15/2) + 218*q^(-17/2) + 151*q^(-19/2) + 85*q^(-21/2) + 39*q^(-23/2) + 21*q^(-25/2) + 5*q^(-27/2) + 2*q^(-29/2))*x1^(-3)*x2^(8) + (2*q^(11/2) + 3*q^(9/2) + 4*q^(7/2) - 10*q^(5/2) - 45*q^(3/2) - 111*q^(1/2) - 188*q^(-1/2) - 222*q^(-3/2) - 167*q^(-5/2) + 62*q^(-7/2) + 354*q^(-9/2) + 715*q^(-11/2) + 1013*q^(-13/2) + 1151*q^(-15/2) + 1127*q^(-17/2) + 1004*q^(-19/2) + 775*q^(-21/2) + 545*q^(-23/2) + 357*q^(-25/2) + 208*q^(-27/2) + 112*q^(-29/2) + 58*q^(-31/2) + 23*q^(-33/2) + 11*q^(-35/2) + 4*q^(-37/2) + q^(-39/2))*x1^(-3)*x2^(9) + (-q^(1/2) - 3*q^(-1/2))*x1^(-2)*x2^(4) + (-3*q^(1/2) - 12*q^(-1/2) - 8*q^(-3/2) - 5*q^(-5/2))*x1^(-2)*x2^(5) + (2*q^(5/2) + 3*q^(3/2) - 3*q^(1/2) - 29*q^(-1/2) - 34*q^(-3/2) - 37*q^(-5/2) - 16*q^(-7/2) - 9*q^(-9/2) - q^(-11/2))*x1^(-2)*x2^(6) + (4*q^(7/2) + 12*q^(5/2) + 21*q^(3/2) + 10*q^(1/2) - 46*q^(-1/2) - 87*q^(-3/2) - 130*q^(-5/2) - 107*q^(-7/2) - 81*q^(-9/2) - 41*q^(-11/2) - 20*q^(-13/2) - 5*q^(-15/2) - 2*q^(-17/2))*x1^(-2)*x2^(7) + (-q^(13/2) - 2*q^(11/2) + 2*q^(9/2) + 18*q^(7/2) + 49*q^(5/2) + 83*q^(3/2) + 79*q^(1/2) - 26*q^(-1/2) - 150*q^(-3/2) - 318*q^(-5/2) - 373*q^(-7/2) - 383*q^(-9/2) - 287*q^(-11/2) - 203*q^(-13/2) - 111*q^(-15/2) - 63*q^(-17/2) - 23*q^(-19/2) - 11*q^(-21/2) - 4*q^(-23/2) - q^(-25/2))*x1^(-2)*x2^(8) + (-2*q^(17/2) - 6*q^(15/2) - 15*q^(13/2) - 15*q^(11/2) - 3*q^(9/2) + 53*q^(7/2) + 148*q^(5/2) + 268*q^(3/2) + 313*q^(1/2) + 170*q^(-1/2) - 112*q^(-3/2) - 567*q^(-5/2) - 926*q^(-7/2) - 1203*q^(-9/2) - 1198*q^(-11/2) - 1064*q^(-13/2) - 803*q^(-15/2) - 575*q^(-17/2) - 346*q^(-19/2) - 209*q^(-21/2) - 110*q^(-23/2) - 57*q^(-25/2) - 27*q^(-27/2) - 13*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2))*x1^(-2)*x2^(9) + (2*q^(3/2))*x1^(-1)*x2^(3) + (6*q^(3/2) + 4*q^(1/2))*x1^(-1)*x2^(4) + (-q^(7/2) - 2*q^(5/2) + 13*q^(3/2) + 16*q^(1/2) + 8*q^(-1/2) + q^(-3/2))*x1^(-1)*x2^(5) + (-2*q^(9/2) - 7*q^(7/2) - 8*q^(5/2) + 23*q^(3/2) + 43*q^(1/2) + 38*q^(-1/2) + 22*q^(-3/2) + 5*q^(-5/2) + 2*q^(-7/2))*x1^(-1)*x2^(6) + (q^(13/2) - 2*q^(11/2) - 10*q^(9/2) - 25*q^(7/2) - 27*q^(5/2) + 33*q^(3/2) + 94*q^(1/2) + 120*q^(-1/2) + 104*q^(-3/2) + 61*q^(-5/2) + 28*q^(-7/2) + 11*q^(-9/2) + 4*q^(-11/2) + q^(-13/2))*x1^(-1)*x2^(7) + (2*q^(17/2) + 4*q^(15/2) + 5*q^(13/2) - 7*q^(11/2) - 35*q^(9/2) - 72*q^(7/2) - 84*q^(5/2) + 28*q^(3/2) + 180*q^(1/2) + 301*q^(-1/2) + 344*q^(-3/2) + 290*q^(-5/2) + 201*q^(-7/2) + 110*q^(-9/2) + 62*q^(-11/2) + 28*q^(-13/2) + 13*q^(-15/2) + 4*q^(-17/2) + 2*q^(-19/2))*x1^(-1)*x2^(8) + (2*q^(21/2) + 6*q^(19/2) + 18*q^(17/2) + 23*q^(15/2) + 23*q^(13/2) - 15*q^(11/2) - 93*q^(9/2) - 195*q^(7/2) - 237*q^(5/2) - 46*q^(3/2) + 289*q^(1/2) + 661*q^(-1/2) + 928*q^(-3/2) + 989*q^(-5/2) + 875*q^(-7/2) + 653*q^(-9/2) + 439*q^(-11/2) + 274*q^(-13/2) + 161*q^(-15/2) + 86*q^(-17/2) + 46*q^(-19/2) + 22*q^(-21/2) + 9*q^(-23/2) + 4*q^(-25/2) + q^(-27/2))*x1^(-1)*x2^(9) + (-q^(5/2))*x2^(2) + (-3*q^(5/2))*x2^(3) + (q^(7/2) - 8*q^(5/2) - q^(3/2))*x2^(4) + (2*q^(9/2) + q^(7/2) - 18*q^(5/2) - 7*q^(3/2) - 2*q^(1/2))*x2^(5) + (2*q^(11/2) + 5*q^(9/2) - 40*q^(5/2) - 25*q^(3/2) - 15*q^(1/2) - 4*q^(-1/2) - q^(-3/2))*x2^(6) + (-2*q^(15/2) + 2*q^(13/2) + 6*q^(11/2) + 11*q^(9/2) - 8*q^(7/2) - 85*q^(5/2) - 77*q^(3/2) - 62*q^(1/2) - 32*q^(-1/2) - 14*q^(-3/2) - 4*q^(-5/2) - 2*q^(-7/2))*x2^(7) + (-3*q^(19/2) - 3*q^(17/2) - 6*q^(15/2) + 3*q^(13/2) + 17*q^(11/2) + 17*q^(9/2) - 31*q^(7/2) - 188*q^(5/2) - 211*q^(3/2) - 210*q^(1/2) - 148*q^(-1/2) - 93*q^(-3/2) - 43*q^(-5/2) - 24*q^(-7/2) - 9*q^(-9/2) - 4*q^(-11/2) - q^(-13/2))*x2^(8) + (-2*q^(23/2) - 4*q^(21/2) - 16*q^(19/2) - 19*q^(17/2) - 26*q^(15/2) + 2*q^(13/2) + 31*q^(11/2) + 19*q^(9/2) - 107*q^(7/2) - 421*q^(5/2) - 558*q^(3/2) - 630*q^(1/2) - 549*q^(-1/2) - 422*q^(-3/2) - 268*q^(-5/2) - 170*q^(-7/2) - 92*q^(-9/2) - 54*q^(-11/2) - 26*q^(-13/2) - 12*q^(-15/2) - 4*q^(-17/2) - 2*q^(-19/2))*x2^(9) + (q^(7/2))*x1*x2^(3) + (q^(9/2) + 3*q^(7/2))*x1*x2^(4) + (q^(11/2) + 4*q^(9/2) + 7*q^(7/2) + q^(5/2))*x1*x2^(5) + (3*q^(13/2) + 4*q^(11/2) + 12*q^(9/2) + 18*q^(7/2) + 5*q^(5/2) + 2*q^(3/2))*x1*x2^(6) + (2*q^(17/2) + 5*q^(15/2) + 10*q^(13/2) + 17*q^(11/2) + 35*q^(9/2) + 45*q^(7/2) + 23*q^(5/2) + 11*q^(3/2) + 4*q^(1/2) + q^(-1/2))*x1*x2^(7) + (2*q^(21/2) + 5*q^(19/2) + 19*q^(17/2) + 22*q^(15/2) + 35*q^(13/2) + 60*q^(11/2) + 100*q^(9/2) + 120*q^(7/2) + 81*q^(5/2) + 53*q^(3/2) + 26*q^(1/2) + 13*q^(-1/2) + 4*q^(-3/2) + 2*q^(-5/2))*x1*x2^(8) + (3*q^(25/2) + 9*q^(23/2) + 25*q^(21/2) + 48*q^(19/2) + 72*q^(17/2) + 85*q^(15/2) + 126*q^(13/2) + 194*q^(11/2) + 286*q^(9/2) + 332*q^(7/2) + 271*q^(5/2) + 205*q^(3/2) + 132*q^(1/2) + 78*q^(-1/2) + 42*q^(-3/2) + 22*q^(-5/2) + 9*q^(-7/2) + 4*q^(-9/2) + q^(-11/2))*x1*x2^(9) + (-q^(11/2))*x1^(2)*x2^(4) + (-q^(15/2) - q^(13/2) - 3*q^(11/2))*x1^(2)*x2^(5) + (-q^(19/2) - q^(17/2) - 6*q^(15/2) - 3*q^(13/2) - 7*q^(11/2) - q^(9/2))*x1^(2)*x2^(6) + (-q^(23/2) - 3*q^(21/2) - 8*q^(19/2) - 8*q^(17/2) - 16*q^(15/2) - 12*q^(13/2) - 16*q^(11/2) - 5*q^(9/2) - 2*q^(7/2))*x1^(2)*x2^(7) + (-3*q^(27/2) - 5*q^(25/2) - 12*q^(23/2) - 19*q^(21/2) - 34*q^(19/2) - 29*q^(17/2) - 45*q^(15/2) - 39*q^(13/2) - 43*q^(11/2) - 19*q^(9/2) - 11*q^(7/2) - 4*q^(5/2) - q^(3/2))*x1^(2)*x2^(8) + (-2*q^(33/2) - 5*q^(31/2) - 10*q^(29/2) - 27*q^(27/2) - 41*q^(25/2) - 63*q^(23/2) - 82*q^(21/2) - 105*q^(19/2) - 105*q^(17/2) - 132*q^(15/2) - 121*q^(13/2) - 121*q^(11/2) - 74*q^(9/2) - 47*q^(7/2) - 25*q^(5/2) - 13*q^(3/2) - 4*q^(1/2) - 2*q^(-1/2))*x1^(2)*x2^(9) + (q^(17/2))*x1^(3)*x2^(5) + (q^(23/2) + q^(21/2) + q^(19/2) + 3*q^(17/2))*x1^(3)*x2^(6) + (q^(29/2) + q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 5*q^(21/2) + 3*q^(19/2) + 7*q^(17/2) + q^(15/2))*x1^(3)*x2^(7) + (q^(35/2) + q^(33/2) + 4*q^(31/2) + 9*q^(29/2) + 10*q^(27/2) + 12*q^(25/2) + 20*q^(23/2) + 16*q^(21/2) + 10*q^(19/2) + 16*q^(17/2) + 5*q^(15/2) + 2*q^(13/2))*x1^(3)*x2^(8) + (q^(41/2) + 3*q^(39/2) + 6*q^(37/2) + 13*q^(35/2) + 17*q^(33/2) + 28*q^(31/2) + 45*q^(29/2) + 45*q^(27/2) + 46*q^(25/2) + 56*q^(23/2) + 49*q^(21/2) + 37*q^(19/2) + 39*q^(17/2) + 19*q^(15/2) + 11*q^(13/2) + 4*q^(11/2) + q^(9/2))*x1^(3)*x2^(9) + (-q^(25/2))*x1^(4)*x2^(6) + (-q^(33/2) - q^(31/2) - q^(29/2) - q^(27/2) - 3*q^(25/2))*x1^(4)*x2^(7) + (-q^(41/2) - q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 7*q^(33/2) - 5*q^(31/2) - 5*q^(29/2) - 3*q^(27/2) - 7*q^(25/2) - q^(23/2))*x1^(4)*x2^(8) + (-q^(49/2) - q^(47/2) - 2*q^(45/2) - 5*q^(43/2) - 10*q^(41/2) - 11*q^(39/2) - 15*q^(37/2) - 14*q^(35/2) - 24*q^(33/2) - 20*q^(31/2) - 14*q^(29/2) - 10*q^(27/2) - 16*q^(25/2) - 5*q^(23/2) - 2*q^(21/2))*x1^(4)*x2^(9) + (q^(35/2))*x1^(5)*x2^(7) + (q^(45/2) + q^(43/2) + q^(41/2) + q^(39/2) + q^(37/2) + 3*q^(35/2))*x1^(5)*x2^(8) + (q^(55/2) + q^(53/2) + 2*q^(51/2) + 2*q^(49/2) + 3*q^(47/2) + 7*q^(45/2) + 6*q^(43/2) + 5*q^(41/2) + 5*q^(39/2) + 3*q^(37/2) + 7*q^(35/2) + q^(33/2))*x1^(5)*x2^(9) + (-q^(47/2))*x1^(6)*x2^(8) + (-q^(59/2) - q^(57/2) - q^(55/2) - q^(53/2) - q^(51/2) - q^(49/2) - 3*q^(47/2))*x1^(6)*x2^(9) + (q^(61/2))*x1^(7)*x2^(9)
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(0, 2) |
|
x1^(0)x2^(-2) |
q^(5/2) |
|
|
(2*q^(-27/2) + 2*q^(-29/2) + 6*q^(-31/2) + 8*q^(-33/2) + 12*q^(-35/2) + 12*q^(-37/2) + 18*q^(-39/2) + 16*q^(-41/2) + 16*q^(-43/2) + 12*q^(-45/2) + 10*q^(-47/2) + 6*q^(-49/2) + 8*q^(-51/2))*x1^(7)*x2^(-9) + (-q^(-19/2) - 3*q^(-21/2) - 4*q^(-23/2) - 7*q^(-25/2) - 9*q^(-27/2) - 11*q^(-29/2) - 9*q^(-31/2) - 8*q^(-33/2) - 5*q^(-35/2) - 7*q^(-37/2))*x1^(6)*x2^(-8) + (-3*q^(-19/2) - 12*q^(-21/2) - 24*q^(-23/2) - 45*q^(-25/2) - 68*q^(-27/2) - 97*q^(-29/2) - 112*q^(-31/2) - 121*q^(-33/2) - 115*q^(-35/2) - 116*q^(-37/2) - 87*q^(-39/2) - 64*q^(-41/2) - 43*q^(-43/2) - 28*q^(-45/2) - 16*q^(-47/2) - 9*q^(-49/2))*x1^(6)*x2^(-9) + (2*q^(-13/2) + 2*q^(-15/2) + 6*q^(-17/2) + 6*q^(-19/2) + 6*q^(-21/2) + 4*q^(-23/2) + 6*q^(-25/2))*x1^(5)*x2^(-7) + (6*q^(-13/2) + 12*q^(-15/2) + 30*q^(-17/2) + 46*q^(-19/2) + 58*q^(-21/2) + 62*q^(-23/2) + 68*q^(-25/2) + 52*q^(-27/2) + 36*q^(-29/2) + 24*q^(-31/2) + 14*q^(-33/2) + 8*q^(-35/2))*x1^(5)*x2^(-8) + (-q^(-5/2) - 4*q^(-7/2) - 8*q^(-9/2) - 13*q^(-11/2) - 6*q^(-13/2) + 9*q^(-15/2) + 67*q^(-17/2) + 140*q^(-19/2) + 233*q^(-21/2) + 309*q^(-23/2) + 394*q^(-25/2) + 409*q^(-27/2) + 396*q^(-29/2) + 339*q^(-31/2) + 281*q^(-33/2) + 210*q^(-35/2) + 137*q^(-37/2) + 80*q^(-39/2) + 49*q^(-41/2) + 22*q^(-43/2) + 12*q^(-45/2) + q^(-47/2))*x1^(5)*x2^(-9) + (-q^(-7/2) - 3*q^(-9/2) - 4*q^(-11/2) - 3*q^(-13/2) - 5*q^(-15/2))*x1^(4)*x2^(-6) + (-3*q^(-7/2) - 12*q^(-9/2) - 24*q^(-11/2) - 29*q^(-13/2) - 40*q^(-15/2) - 29*q^(-17/2) - 20*q^(-19/2) - 12*q^(-21/2) - 7*q^(-23/2))*x1^(4)*x2^(-7) + (2*q^(-1/2) + 4*q^(-3/2) + 9*q^(-5/2) + 5*q^(-7/2) - 17*q^(-9/2) - 61*q^(-11/2) - 104*q^(-13/2) - 169*q^(-15/2) - 183*q^(-17/2) - 183*q^(-19/2) - 151*q^(-21/2) - 125*q^(-23/2) - 71*q^(-25/2) - 44*q^(-27/2) - 20*q^(-29/2) - 11*q^(-31/2) - q^(-33/2))*x1^(4)*x2^(-8) + (4*q^(1/2) + 14*q^(-1/2) + 36*q^(-3/2) + 67*q^(-5/2) + 86*q^(-7/2) + 62*q^(-9/2) - 29*q^(-11/2) - 175*q^(-13/2) - 413*q^(-15/2) - 600*q^(-17/2) - 761*q^(-19/2) - 818*q^(-21/2) - 817*q^(-23/2) - 689*q^(-25/2) - 557*q^(-27/2) - 393*q^(-29/2) - 272*q^(-31/2) - 158*q^(-33/2) - 85*q^(-35/2) - 41*q^(-37/2) - 22*q^(-39/2) - 5*q^(-41/2) - 2*q^(-43/2))*x1^(4)*x2^(-9) + (2*q^(-3/2) + 2*q^(-5/2) + 4*q^(-7/2))*x1^(3)*x2^(-5) + (6*q^(-3/2) + 12*q^(-5/2) + 22*q^(-7/2) + 16*q^(-9/2) + 10*q^(-11/2) + 6*q^(-13/2))*x1^(3)*x2^(-6) + (-q^(3/2) - 4*q^(1/2) - 6*q^(-1/2) + 7*q^(-3/2) + 27*q^(-5/2) + 70*q^(-7/2) + 80*q^(-9/2) + 81*q^(-11/2) + 66*q^(-13/2) + 39*q^(-15/2) + 18*q^(-17/2) + 10*q^(-19/2) + q^(-21/2))*x1^(3)*x2^(-7) + (-2*q^(5/2) - 11*q^(3/2) - 27*q^(1/2) - 43*q^(-1/2) - 31*q^(-3/2) + 16*q^(-5/2) + 130*q^(-7/2) + 223*q^(-9/2) + 302*q^(-11/2) + 331*q^(-13/2) + 287*q^(-15/2) + 218*q^(-17/2) + 151*q^(-19/2) + 85*q^(-21/2) + 39*q^(-23/2) + 21*q^(-25/2) + 5*q^(-27/2) + 2*q^(-29/2))*x1^(3)*x2^(-8) + (2*q^(11/2) + 3*q^(9/2) + 4*q^(7/2) - 10*q^(5/2) - 45*q^(3/2) - 111*q^(1/2) - 188*q^(-1/2) - 222*q^(-3/2) - 167*q^(-5/2) + 62*q^(-7/2) + 354*q^(-9/2) + 715*q^(-11/2) + 1013*q^(-13/2) + 1151*q^(-15/2) + 1127*q^(-17/2) + 1004*q^(-19/2) + 775*q^(-21/2) + 545*q^(-23/2) + 357*q^(-25/2) + 208*q^(-27/2) + 112*q^(-29/2) + 58*q^(-31/2) + 23*q^(-33/2) + 11*q^(-35/2) + 4*q^(-37/2) + q^(-39/2))*x1^(3)*x2^(-9) + (-q^(1/2) - 3*q^(-1/2))*x1^(2)*x2^(-4) + (-3*q^(1/2) - 12*q^(-1/2) - 8*q^(-3/2) - 5*q^(-5/2))*x1^(2)*x2^(-5) + (2*q^(5/2) + 3*q^(3/2) - 3*q^(1/2) - 29*q^(-1/2) - 34*q^(-3/2) - 37*q^(-5/2) - 16*q^(-7/2) - 9*q^(-9/2) - q^(-11/2))*x1^(2)*x2^(-6) + (4*q^(7/2) + 12*q^(5/2) + 21*q^(3/2) + 10*q^(1/2) - 46*q^(-1/2) - 87*q^(-3/2) - 130*q^(-5/2) - 107*q^(-7/2) - 81*q^(-9/2) - 41*q^(-11/2) - 20*q^(-13/2) - 5*q^(-15/2) - 2*q^(-17/2))*x1^(2)*x2^(-7) + (-q^(13/2) - 2*q^(11/2) + 2*q^(9/2) + 18*q^(7/2) + 49*q^(5/2) + 83*q^(3/2) + 79*q^(1/2) - 26*q^(-1/2) - 150*q^(-3/2) - 318*q^(-5/2) - 373*q^(-7/2) - 383*q^(-9/2) - 287*q^(-11/2) - 203*q^(-13/2) - 111*q^(-15/2) - 63*q^(-17/2) - 23*q^(-19/2) - 11*q^(-21/2) - 4*q^(-23/2) - q^(-25/2))*x1^(2)*x2^(-8) + (-2*q^(17/2) - 6*q^(15/2) - 15*q^(13/2) - 15*q^(11/2) - 3*q^(9/2) + 53*q^(7/2) + 148*q^(5/2) + 268*q^(3/2) + 313*q^(1/2) + 170*q^(-1/2) - 112*q^(-3/2) - 567*q^(-5/2) - 926*q^(-7/2) - 1203*q^(-9/2) - 1198*q^(-11/2) - 1064*q^(-13/2) - 803*q^(-15/2) - 575*q^(-17/2) - 346*q^(-19/2) - 209*q^(-21/2) - 110*q^(-23/2) - 57*q^(-25/2) - 27*q^(-27/2) - 13*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2))*x1^(2)*x2^(-9) + (2*q^(3/2))*x1*x2^(-3) + (6*q^(3/2) + 4*q^(1/2))*x1*x2^(-4) + (-q^(7/2) - 2*q^(5/2) + 13*q^(3/2) + 16*q^(1/2) + 8*q^(-1/2) + q^(-3/2))*x1*x2^(-5) + (-2*q^(9/2) - 7*q^(7/2) - 8*q^(5/2) + 23*q^(3/2) + 43*q^(1/2) + 38*q^(-1/2) + 22*q^(-3/2) + 5*q^(-5/2) + 2*q^(-7/2))*x1*x2^(-6) + (q^(13/2) - 2*q^(11/2) - 10*q^(9/2) - 25*q^(7/2) - 27*q^(5/2) + 33*q^(3/2) + 94*q^(1/2) + 120*q^(-1/2) + 104*q^(-3/2) + 61*q^(-5/2) + 28*q^(-7/2) + 11*q^(-9/2) + 4*q^(-11/2) + q^(-13/2))*x1*x2^(-7) + (2*q^(17/2) + 4*q^(15/2) + 5*q^(13/2) - 7*q^(11/2) - 35*q^(9/2) - 72*q^(7/2) - 84*q^(5/2) + 28*q^(3/2) + 180*q^(1/2) + 301*q^(-1/2) + 344*q^(-3/2) + 290*q^(-5/2) + 201*q^(-7/2) + 110*q^(-9/2) + 62*q^(-11/2) + 28*q^(-13/2) + 13*q^(-15/2) + 4*q^(-17/2) + 2*q^(-19/2))*x1*x2^(-8) + (2*q^(21/2) + 6*q^(19/2) + 18*q^(17/2) + 23*q^(15/2) + 23*q^(13/2) - 15*q^(11/2) - 93*q^(9/2) - 195*q^(7/2) - 237*q^(5/2) - 46*q^(3/2) + 289*q^(1/2) + 661*q^(-1/2) + 928*q^(-3/2) + 989*q^(-5/2) + 875*q^(-7/2) + 653*q^(-9/2) + 439*q^(-11/2) + 274*q^(-13/2) + 161*q^(-15/2) + 86*q^(-17/2) + 46*q^(-19/2) + 22*q^(-21/2) + 9*q^(-23/2) + 4*q^(-25/2) + q^(-27/2))*x1*x2^(-9) + (-q^(5/2))*x2^(-2) + (-3*q^(5/2))*x2^(-3) + (q^(7/2) - 8*q^(5/2) - q^(3/2))*x2^(-4) + (2*q^(9/2) + q^(7/2) - 18*q^(5/2) - 7*q^(3/2) - 2*q^(1/2))*x2^(-5) + (2*q^(11/2) + 5*q^(9/2) - 40*q^(5/2) - 25*q^(3/2) - 15*q^(1/2) - 4*q^(-1/2) - q^(-3/2))*x2^(-6) + (-2*q^(15/2) + 2*q^(13/2) + 6*q^(11/2) + 11*q^(9/2) - 8*q^(7/2) - 85*q^(5/2) - 77*q^(3/2) - 62*q^(1/2) - 32*q^(-1/2) - 14*q^(-3/2) - 4*q^(-5/2) - 2*q^(-7/2))*x2^(-7) + (-3*q^(19/2) - 3*q^(17/2) - 6*q^(15/2) + 3*q^(13/2) + 17*q^(11/2) + 17*q^(9/2) - 31*q^(7/2) - 188*q^(5/2) - 211*q^(3/2) - 210*q^(1/2) - 148*q^(-1/2) - 93*q^(-3/2) - 43*q^(-5/2) - 24*q^(-7/2) - 9*q^(-9/2) - 4*q^(-11/2) - q^(-13/2))*x2^(-8) + (-2*q^(23/2) - 4*q^(21/2) - 16*q^(19/2) - 19*q^(17/2) - 26*q^(15/2) + 2*q^(13/2) + 31*q^(11/2) + 19*q^(9/2) - 107*q^(7/2) - 421*q^(5/2) - 558*q^(3/2) - 630*q^(1/2) - 549*q^(-1/2) - 422*q^(-3/2) - 268*q^(-5/2) - 170*q^(-7/2) - 92*q^(-9/2) - 54*q^(-11/2) - 26*q^(-13/2) - 12*q^(-15/2) - 4*q^(-17/2) - 2*q^(-19/2))*x2^(-9) + (q^(7/2))*x1^(-1)*x2^(-3) + (q^(9/2) + 3*q^(7/2))*x1^(-1)*x2^(-4) + (q^(11/2) + 4*q^(9/2) + 7*q^(7/2) + q^(5/2))*x1^(-1)*x2^(-5) + (3*q^(13/2) + 4*q^(11/2) + 12*q^(9/2) + 18*q^(7/2) + 5*q^(5/2) + 2*q^(3/2))*x1^(-1)*x2^(-6) + (2*q^(17/2) + 5*q^(15/2) + 10*q^(13/2) + 17*q^(11/2) + 35*q^(9/2) + 45*q^(7/2) + 23*q^(5/2) + 11*q^(3/2) + 4*q^(1/2) + q^(-1/2))*x1^(-1)*x2^(-7) + (2*q^(21/2) + 5*q^(19/2) + 19*q^(17/2) + 22*q^(15/2) + 35*q^(13/2) + 60*q^(11/2) + 100*q^(9/2) + 120*q^(7/2) + 81*q^(5/2) + 53*q^(3/2) + 26*q^(1/2) + 13*q^(-1/2) + 4*q^(-3/2) + 2*q^(-5/2))*x1^(-1)*x2^(-8) + (3*q^(25/2) + 9*q^(23/2) + 25*q^(21/2) + 48*q^(19/2) + 72*q^(17/2) + 85*q^(15/2) + 126*q^(13/2) + 194*q^(11/2) + 286*q^(9/2) + 332*q^(7/2) + 271*q^(5/2) + 205*q^(3/2) + 132*q^(1/2) + 78*q^(-1/2) + 42*q^(-3/2) + 22*q^(-5/2) + 9*q^(-7/2) + 4*q^(-9/2) + q^(-11/2))*x1^(-1)*x2^(-9) + (-q^(11/2))*x1^(-2)*x2^(-4) + (-q^(15/2) - q^(13/2) - 3*q^(11/2))*x1^(-2)*x2^(-5) + (-q^(19/2) - q^(17/2) - 6*q^(15/2) - 3*q^(13/2) - 7*q^(11/2) - q^(9/2))*x1^(-2)*x2^(-6) + (-q^(23/2) - 3*q^(21/2) - 8*q^(19/2) - 8*q^(17/2) - 16*q^(15/2) - 12*q^(13/2) - 16*q^(11/2) - 5*q^(9/2) - 2*q^(7/2))*x1^(-2)*x2^(-7) + (-3*q^(27/2) - 5*q^(25/2) - 12*q^(23/2) - 19*q^(21/2) - 34*q^(19/2) - 29*q^(17/2) - 45*q^(15/2) - 39*q^(13/2) - 43*q^(11/2) - 19*q^(9/2) - 11*q^(7/2) - 4*q^(5/2) - q^(3/2))*x1^(-2)*x2^(-8) + (-2*q^(33/2) - 5*q^(31/2) - 10*q^(29/2) - 27*q^(27/2) - 41*q^(25/2) - 63*q^(23/2) - 82*q^(21/2) - 105*q^(19/2) - 105*q^(17/2) - 132*q^(15/2) - 121*q^(13/2) - 121*q^(11/2) - 74*q^(9/2) - 47*q^(7/2) - 25*q^(5/2) - 13*q^(3/2) - 4*q^(1/2) - 2*q^(-1/2))*x1^(-2)*x2^(-9) + (q^(17/2))*x1^(-3)*x2^(-5) + (q^(23/2) + q^(21/2) + q^(19/2) + 3*q^(17/2))*x1^(-3)*x2^(-6) + (q^(29/2) + q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 5*q^(21/2) + 3*q^(19/2) + 7*q^(17/2) + q^(15/2))*x1^(-3)*x2^(-7) + (q^(35/2) + q^(33/2) + 4*q^(31/2) + 9*q^(29/2) + 10*q^(27/2) + 12*q^(25/2) + 20*q^(23/2) + 16*q^(21/2) + 10*q^(19/2) + 16*q^(17/2) + 5*q^(15/2) + 2*q^(13/2))*x1^(-3)*x2^(-8) + (q^(41/2) + 3*q^(39/2) + 6*q^(37/2) + 13*q^(35/2) + 17*q^(33/2) + 28*q^(31/2) + 45*q^(29/2) + 45*q^(27/2) + 46*q^(25/2) + 56*q^(23/2) + 49*q^(21/2) + 37*q^(19/2) + 39*q^(17/2) + 19*q^(15/2) + 11*q^(13/2) + 4*q^(11/2) + q^(9/2))*x1^(-3)*x2^(-9) + (-q^(25/2))*x1^(-4)*x2^(-6) + (-q^(33/2) - q^(31/2) - q^(29/2) - q^(27/2) - 3*q^(25/2))*x1^(-4)*x2^(-7) + (-q^(41/2) - q^(39/2) - 2*q^(37/2) - 2*q^(35/2) - 7*q^(33/2) - 5*q^(31/2) - 5*q^(29/2) - 3*q^(27/2) - 7*q^(25/2) - q^(23/2))*x1^(-4)*x2^(-8) + (-q^(49/2) - q^(47/2) - 2*q^(45/2) - 5*q^(43/2) - 10*q^(41/2) - 11*q^(39/2) - 15*q^(37/2) - 14*q^(35/2) - 24*q^(33/2) - 20*q^(31/2) - 14*q^(29/2) - 10*q^(27/2) - 16*q^(25/2) - 5*q^(23/2) - 2*q^(21/2))*x1^(-4)*x2^(-9) + (q^(35/2))*x1^(-5)*x2^(-7) + (q^(45/2) + q^(43/2) + q^(41/2) + q^(39/2) + q^(37/2) + 3*q^(35/2))*x1^(-5)*x2^(-8) + (q^(55/2) + q^(53/2) + 2*q^(51/2) + 2*q^(49/2) + 3*q^(47/2) + 7*q^(45/2) + 6*q^(43/2) + 5*q^(41/2) + 5*q^(39/2) + 3*q^(37/2) + 7*q^(35/2) + q^(33/2))*x1^(-5)*x2^(-9) + (-q^(47/2))*x1^(-6)*x2^(-8) + (-q^(59/2) - q^(57/2) - q^(55/2) - q^(53/2) - q^(51/2) - q^(49/2) - 3*q^(47/2))*x1^(-6)*x2^(-9) + (q^(61/2))*x1^(-7)*x2^(-9)
|
Braid
| Braid word |
Components |
Crossings |
Strands |
[1, 2, 2, 3, 3, 1, -2, 3, 1, 1] |
2 |
10 |
4 |
Multivariable Alexander polynomial
| ΔL |
2*A1*A2 - 2*A1 + A1*A2^(-1) + A2^(2) - 3*A2 + 5 - 3*A2^(-1) + A2^(-2) + A1^(-1)*A2 - 2*A1^(-1) + 2*A1^(-1)*A2^(-1) |
Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.
Dual Thurston polytope
| Vertex | Dual to fibered face |
(-2, -2) |
no |
(0, -4) |
yes |
(2, -2) |
yes |
(2, 2) |
no |
(0, 4) |
yes |
(-2, 2) |
yes |
HFL polytope
| Poincaré polynomial |
2*m^(-6)*A1^(-3/2)*A2^(-3/2) + m^(-6)*A1^(-1/2)*A2^(-5/2) + 4*m^(-5)*A1^(-3/2)*A2^(-1/2) + 6*m^(-5)*A1^(-1/2)*A2^(-3/2) + m^(-5)*A1^(1/2)*A2^(-5/2) + 3*m^(-4)*A1^(-3/2)*A2^(1/2) + 12*m^(-4)*A1^(-1/2)*A2^(-1/2) + 5*m^(-4)*A1^(1/2)*A2^(-3/2) + m^(-3)*A1^(-3/2)*A2^(3/2) + 11*m^(-3)*A1^(-1/2)*A2^(1/2) + 11*m^(-3)*A1^(1/2)*A2^(-1/2) + m^(-3)*A1^(3/2)*A2^(-3/2) + 5*m^(-2)*A1^(-1/2)*A2^(3/2) + 12*m^(-2)*A1^(1/2)*A2^(1/2) + 3*m^(-2)*A1^(3/2)*A2^(-1/2) + m^(-1)*A1^(-1/2)*A2^(5/2) + 6*m^(-1)*A1^(1/2)*A2^(3/2) + 4*m^(-1)*A1^(3/2)*A2^(1/2) + A1^(1/2)*A2^(5/2) + 2*A1^(3/2)*A2^(3/2) |
| Vertex | Maslov | Rank |
(-3/2, -3/2) | -6 | 2 |
(-1/2, -5/2) | -6 | 1 |
(1/2, -5/2) | -5 | 1 |
(3/2, -3/2) | -3 | 1 |
(3/2, 3/2) | 0 | 2 |
(1/2, 5/2) | 0 | 1 |
(-1/2, 5/2) | -1 | 1 |
(-3/2, 3/2) | -3 | 1 |
Record
FL/HFL Links
orderOption(int) |
106 |
namestring |
L9a23{1} |
statusstring |
success |
slugstring |
L9a23_1_abab8d79 |
result_filestring |
details/L9a23_1_abab8d79.json |
complexity_scoreOption(int) |
162 |
strandsOption(int) |
null |
crossingsOption(int) |
9 |
component_countOption(int) |
2 |
girthOption(int) |
6 |
total_rankOption(int) |
92 |
wall_secondsOption(float) |
0.001889 |
backend_secondsOption(float) |
0.0 |
errorstring |
|
dimensionOption(int) |
2 |
support_sizeOption(int) |
20 |
vertex_countOption(int) |
8 |
fibered_vertex_countOption(int) |
4 |
polytope_statusstring |
computed |
alexander_support_sizeOption(int) |
11 |
alexander_vertex_countOption(int) |
6 |
alexander_relationstring |
not_computed |
fk_countint |
2 |
detailsRowRef(FLHFLLinks) |
{
"dataset": "FLHFLLinks",
"key": "L9a23_1_abab8d79"
} |
detail_assetstring |
/api/v1/datasets/FLHFLLinks/assets/L9a23_1_abab8d79 |