details/L10a145_1_1_c9fb96bd.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(-1/2, -3/2, -3/2) (1, 1, 1) x1^(1/2)x2^(3/2)x3^(3/2) q^(3) 
{"0": [-1, 1, -1, 1], "1": [1, -1, 1, -1, 1, -1, 1, -1], "2": [-1, 1, -1, 1, -1, 1, -1, 1]}
 
(-q^(3))*x1^(1/2)*x2^(3/2)*x3^(3/2) + (-q^(3))*x1^(1/2)*x2^(3/2)*x3^(5/2) + (-q^(3))*x1^(1/2)*x2^(3/2)*x3^(7/2) + (-q^(3))*x1^(1/2)*x2^(3/2)*x3^(9/2) + (-q^(3))*x1^(1/2)*x2^(3/2)*x3^(11/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(5/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(7/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(9/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(11/2) + (q^(9))*x1^(1/2)*x2^(9/2)*x3^(11/2) + (-q^(10))*x1^(1/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(3/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2))*x1^(3/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - q)*x1^(3/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - q - 1)*x1^(3/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(3/2)*x2^(3/2)*x3^(11/2) + (q^(4))*x1^(3/2)*x2^(5/2)*x3^(3/2) + (2*q^(4) + q^(3))*x1^(3/2)*x2^(5/2)*x3^(5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(3/2)*x2^(5/2)*x3^(7/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(3/2)*x2^(5/2)*x3^(9/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(3/2)*x2^(5/2)*x3^(11/2) + (-q^(5))*x1^(3/2)*x2^(7/2)*x3^(5/2) + (-q^(5) - q^(4))*x1^(3/2)*x2^(7/2)*x3^(7/2) + (-q^(5) - q^(4) - q^(3))*x1^(3/2)*x2^(7/2)*x3^(9/2) + (-q^(5) - q^(4) - q^(3) - q^(2))*x1^(3/2)*x2^(7/2)*x3^(11/2) + (q^(9) + q^(8))*x1^(3/2)*x2^(9/2)*x3^(11/2) + (-q^(10))*x1^(3/2)*x2^(11/2)*x3^(9/2) + (-q^(11) - 3*q^(10) - q^(9))*x1^(3/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(5/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2) - q)*x1^(5/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(5/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(5/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(5/2)*x2^(3/2)*x3^(11/2) + (q^(5) + q^(4))*x1^(5/2)*x2^(5/2)*x3^(3/2) + (q^(5) + 3*q^(4) + 2*q^(3) + q^(2))*x1^(5/2)*x2^(5/2)*x3^(5/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 4*q^(2) + 2*q + 1)*x1^(5/2)*x2^(5/2)*x3^(7/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 6*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(5/2)*x2^(5/2)*x3^(9/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 6*q^(2) + 7*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(5/2)*x2^(5/2)*x3^(11/2) + (-q^(6))*x1^(5/2)*x2^(7/2)*x3^(3/2) + (-2*q^(6) - 2*q^(5) - q^(4))*x1^(5/2)*x2^(7/2)*x3^(5/2) + (-2*q^(6) - 3*q^(5) - 4*q^(4) - 2*q^(3) - q^(2))*x1^(5/2)*x2^(7/2)*x3^(7/2) + (-2*q^(6) - 3*q^(5) - 5*q^(4) - 5*q^(3) - 4*q^(2) - 2*q - 1)*x1^(5/2)*x2^(7/2)*x3^(9/2) + (-2*q^(6) - 3*q^(5) - 5*q^(4) - 6*q^(3) - 7*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(5/2)*x2^(7/2)*x3^(11/2) + (q^(7))*x1^(5/2)*x2^(9/2)*x3^(5/2) + (q^(7) + q^(6) + q^(5))*x1^(5/2)*x2^(9/2)*x3^(7/2) + (q^(7) + q^(6) + 2*q^(5) + q^(4) + q^(3))*x1^(5/2)*x2^(9/2)*x3^(9/2) + (q^(9) + q^(8) + 2*q^(7) + q^(6) + 2*q^(5) + 2*q^(4) + 2*q^(3) + q^(2) + q)*x1^(5/2)*x2^(9/2)*x3^(11/2) + (-q^(11) - q^(10))*x1^(5/2)*x2^(11/2)*x3^(9/2) + (-q^(12) - 3*q^(11) - 5*q^(10) - 3*q^(9) - q^(8))*x1^(5/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(7/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2) - q - 1)*x1^(7/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(7/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) - 2*q^(-4) - q^(-5) - q^(-6))*x1^(7/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 4*q^(-2) - 5*q^(-3) - 4*q^(-4) - 4*q^(-5) - 3*q^(-6) - 2*q^(-7) - q^(-8) - q^(-9))*x1^(7/2)*x2^(3/2)*x3^(11/2) + (q^(6) + q^(5) + q^(4))*x1^(7/2)*x2^(5/2)*x3^(3/2) + (q^(6) + 2*q^(5) + 4*q^(4) + 3*q^(3) + 2*q^(2) + q)*x1^(7/2)*x2^(5/2)*x3^(5/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 6*q^(3) + 7*q^(2) + 6*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(7/2)*x2^(5/2)*x3^(7/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 7*q^(3) + 10*q^(2) + 11*q + 11*1 + 9*q^(-1) + 7*q^(-2) + 4*q^(-3) + 2*q^(-4) + q^(-5))*x1^(7/2)*x2^(5/2)*x3^(9/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 7*q^(3) + 11*q^(2) + 14*q + 16*1 + 16*q^(-1) + 16*q^(-2) + 13*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(7/2)*x2^(5/2)*x3^(11/2) + (-q^(8) - q^(7) - q^(6))*x1^(7/2)*x2^(7/2)*x3^(3/2) + (-q^(8) - 3*q^(7) - 4*q^(6) - 4*q^(5) - 2*q^(4) - q^(3))*x1^(7/2)*x2^(7/2)*x3^(5/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 8*q^(5) - 9*q^(4) - 7*q^(3) - 5*q^(2) - 2*q - 1)*x1^(7/2)*x2^(7/2)*x3^(7/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 10*q^(5) - 13*q^(4) - 15*q^(3) - 14*q^(2) - 12*q - 8*1 - 5*q^(-1) - 2*q^(-2) - q^(-3))*x1^(7/2)*x2^(7/2)*x3^(9/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 10*q^(5) - 15*q^(4) - 19*q^(3) - 22*q^(2) - 22*q - 21*1 - 17*q^(-1) - 13*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(7/2)*x2^(7/2)*x3^(11/2) + (q^(9))*x1^(7/2)*x2^(9/2)*x3^(3/2) + (2*q^(9) + 2*q^(8) + 2*q^(7) + q^(6))*x1^(7/2)*x2^(9/2)*x3^(5/2) + (2*q^(9) + 3*q^(8) + 5*q^(7) + 5*q^(6) + 4*q^(5) + 2*q^(4) + q^(3))*x1^(7/2)*x2^(9/2)*x3^(7/2) + (2*q^(9) + 3*q^(8) + 6*q^(7) + 8*q^(6) + 9*q^(5) + 8*q^(4) + 7*q^(3) + 4*q^(2) + 2*q + 1)*x1^(7/2)*x2^(9/2)*x3^(9/2) + (3*q^(9) + 4*q^(8) + 7*q^(7) + 10*q^(6) + 12*q^(5) + 13*q^(4) + 14*q^(3) + 12*q^(2) + 10*q + 7*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(7/2)*x2^(9/2)*x3^(11/2) + (-q^(10))*x1^(7/2)*x2^(11/2)*x3^(5/2) + (-q^(10) - q^(9) - q^(8) - q^(7))*x1^(7/2)*x2^(11/2)*x3^(7/2) + (-q^(12) - q^(11) - 2*q^(10) - q^(9) - 2*q^(8) - 2*q^(7) - 2*q^(6) - q^(5) - q^(4))*x1^(7/2)*x2^(11/2)*x3^(9/2) + (-q^(13) - 3*q^(12) - 5*q^(11) - 8*q^(10) - 6*q^(9) - 5*q^(8) - 4*q^(7) - 3*q^(6) - 3*q^(5) - 3*q^(4) - 2*q^(3) - q^(2) - q)*x1^(7/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(9/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(9/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(9/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 4*q^(-2) - 5*q^(-3) - 4*q^(-4) - 4*q^(-5) - 3*q^(-6) - 2*q^(-7) - q^(-8) - q^(-9))*x1^(9/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 5*q^(-1) - 5*q^(-2) - 7*q^(-3) - 7*q^(-4) - 8*q^(-5) - 7*q^(-6) - 7*q^(-7) - 5*q^(-8) - 5*q^(-9) - 3*q^(-10) - 2*q^(-11) - q^(-12) - q^(-13))*x1^(9/2)*x2^(3/2)*x3^(11/2) + (q^(7) + q^(6) + q^(5) + q^(4))*x1^(9/2)*x2^(5/2)*x3^(3/2) + (q^(7) + 2*q^(6) + 3*q^(5) + 5*q^(4) + 4*q^(3) + 3*q^(2) + 2*q + 1)*x1^(9/2)*x2^(5/2)*x3^(5/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 7*q^(4) + 9*q^(3) + 10*q^(2) + 10*q + 9*1 + 6*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(9/2)*x2^(5/2)*x3^(7/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 8*q^(4) + 11*q^(3) + 15*q^(2) + 18*q + 20*1 + 19*q^(-1) + 18*q^(-2) + 14*q^(-3) + 11*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(9/2)*x2^(5/2)*x3^(9/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 8*q^(4) + 12*q^(3) + 17*q^(2) + 23*q + 28*1 + 31*q^(-1) + 34*q^(-2) + 33*q^(-3) + 31*q^(-4) + 27*q^(-5) + 22*q^(-6) + 16*q^(-7) + 12*q^(-8) + 7*q^(-9) + 4*q^(-10) + 2*q^(-11) + q^(-12))*x1^(9/2)*x2^(5/2)*x3^(11/2) + (-q^(10) - q^(9) - 2*q^(8) - q^(7) - q^(6))*x1^(9/2)*x2^(7/2)*x3^(3/2) + (-q^(10) - 2*q^(9) - 5*q^(8) - 6*q^(7) - 7*q^(6) - 6*q^(5) - 4*q^(4) - 2*q^(3) - q^(2))*x1^(9/2)*x2^(7/2)*x3^(5/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 14*q^(6) - 16*q^(5) - 18*q^(4) - 15*q^(3) - 13*q^(2) - 8*q - 5*1 - 2*q^(-1) - q^(-2))*x1^(9/2)*x2^(7/2)*x3^(7/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 10*q^(7) - 17*q^(6) - 23*q^(5) - 30*q^(4) - 33*q^(3) - 35*q^(2) - 32*q - 28*1 - 21*q^(-1) - 15*q^(-2) - 9*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(9/2)*x2^(7/2)*x3^(9/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 10*q^(7) - 18*q^(6) - 26*q^(5) - 37*q^(4) - 45*q^(3) - 55*q^(2) - 58*q - 61*1 - 57*q^(-1) - 52*q^(-2) - 42*q^(-3) - 34*q^(-4) - 23*q^(-5) - 16*q^(-6) - 9*q^(-7) - 5*q^(-8) - 2*q^(-9) - q^(-10))*x1^(9/2)*x2^(7/2)*x3^(11/2) + (q^(12) + q^(11) + q^(10) + q^(9))*x1^(9/2)*x2^(9/2)*x3^(3/2) + (q^(12) + 3*q^(11) + 4*q^(10) + 6*q^(9) + 5*q^(8) + 4*q^(7) + 2*q^(6) + q^(5))*x1^(9/2)*x2^(9/2)*x3^(5/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 10*q^(9) + 13*q^(8) + 15*q^(7) + 14*q^(6) + 12*q^(5) + 8*q^(4) + 5*q^(3) + 2*q^(2) + q)*x1^(9/2)*x2^(9/2)*x3^(7/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 12*q^(9) + 17*q^(8) + 24*q^(7) + 28*q^(6) + 31*q^(5) + 29*q^(4) + 27*q^(3) + 20*q^(2) + 15*q + 9*1 + 5*q^(-1) + 2*q^(-2) + q^(-3))*x1^(9/2)*x2^(9/2)*x3^(9/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 13*q^(9) + 20*q^(8) + 29*q^(7) + 38*q^(6) + 47*q^(5) + 51*q^(4) + 55*q^(3) + 53*q^(2) + 49*q + 41*1 + 33*q^(-1) + 23*q^(-2) + 16*q^(-3) + 9*q^(-4) + 5*q^(-5) + 2*q^(-6) + q^(-7))*x1^(9/2)*x2^(9/2)*x3^(11/2) + (-q^(13))*x1^(9/2)*x2^(11/2)*x3^(3/2) + (-2*q^(13) - 2*q^(12) - 2*q^(11) - 2*q^(10) - q^(9))*x1^(9/2)*x2^(11/2)*x3^(5/2) + (-2*q^(13) - 3*q^(12) - 5*q^(11) - 6*q^(10) - 7*q^(9) - 5*q^(8) - 4*q^(7) - 2*q^(6) - q^(5))*x1^(9/2)*x2^(11/2)*x3^(7/2) + (-3*q^(13) - 4*q^(12) - 7*q^(11) - 10*q^(10) - 12*q^(9) - 13*q^(8) - 14*q^(7) - 12*q^(6) - 10*q^(5) - 7*q^(4) - 4*q^(3) - 2*q^(2) - q)*x1^(9/2)*x2^(11/2)*x3^(9/2) + (-q^(14) - 5*q^(13) - 8*q^(12) - 13*q^(11) - 19*q^(10) - 22*q^(9) - 23*q^(8) - 26*q^(7) - 25*q^(6) - 25*q^(5) - 23*q^(4) - 20*q^(3) - 15*q^(2) - 12*q - 7*1 - 4*q^(-1) - 2*q^(-2) - q^(-3))*x1^(9/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(11/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1) - q^(-2))*x1^(11/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) - 2*q^(-4) - 2*q^(-5) - q^(-6) - q^(-7))*x1^(11/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 5*q^(-2) - 6*q^(-3) - 6*q^(-4) - 6*q^(-5) - 6*q^(-6) - 5*q^(-7) - 4*q^(-8) - 3*q^(-9) - 2*q^(-10) - q^(-11) - q^(-12))*x1^(11/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 5*q^(-1) - 6*q^(-2) - 8*q^(-3) - 9*q^(-4) - 11*q^(-5) - 11*q^(-6) - 12*q^(-7) - 11*q^(-8) - 11*q^(-9) - 9*q^(-10) - 8*q^(-11) - 6*q^(-12) - 5*q^(-13) - 3*q^(-14) - 2*q^(-15) - q^(-16) - q^(-17))*x1^(11/2)*x2^(3/2)*x3^(11/2) + (q^(8) + q^(7) + q^(6) + q^(5) + q^(4))*x1^(11/2)*x2^(5/2)*x3^(3/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 4*q^(5) + 6*q^(4) + 5*q^(3) + 4*q^(2) + 3*q + 2*1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(5/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 6*q^(5) + 10*q^(4) + 12*q^(3) + 14*q^(2) + 14*q + 14*1 + 12*q^(-1) + 9*q^(-2) + 6*q^(-3) + 4*q^(-4) + 2*q^(-5) + q^(-6))*x1^(11/2)*x2^(5/2)*x3^(7/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 7*q^(5) + 12*q^(4) + 16*q^(3) + 22*q^(2) + 26*q + 30*1 + 32*q^(-1) + 32*q^(-2) + 29*q^(-3) + 26*q^(-4) + 21*q^(-5) + 16*q^(-6) + 11*q^(-7) + 7*q^(-8) + 4*q^(-9) + 2*q^(-10) + q^(-11))*x1^(11/2)*x2^(5/2)*x3^(9/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 7*q^(5) + 13*q^(4) + 18*q^(3) + 26*q^(2) + 34*q + 43*1 + 50*q^(-1) + 57*q^(-2) + 60*q^(-3) + 62*q^(-4) + 60*q^(-5) + 56*q^(-6) + 49*q^(-7) + 42*q^(-8) + 33*q^(-9) + 25*q^(-10) + 18*q^(-11) + 12*q^(-12) + 7*q^(-13) + 4*q^(-14) + 2*q^(-15) + q^(-16))*x1^(11/2)*x2^(5/2)*x3^(11/2) + (-q^(12) - q^(11) - 2*q^(10) - 2*q^(9) - 2*q^(8) - q^(7) - q^(6))*x1^(11/2)*x2^(7/2)*x3^(3/2) + (-q^(12) - 2*q^(11) - 4*q^(10) - 7*q^(9) - 9*q^(8) - 10*q^(7) - 10*q^(6) - 9*q^(5) - 6*q^(4) - 4*q^(3) - 2*q^(2) - q)*x1^(11/2)*x2^(7/2)*x3^(5/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 9*q^(9) - 15*q^(8) - 20*q^(7) - 26*q^(6) - 29*q^(5) - 31*q^(4) - 28*q^(3) - 25*q^(2) - 19*q - 14*1 - 8*q^(-1) - 5*q^(-2) - 2*q^(-3) - q^(-4))*x1^(11/2)*x2^(7/2)*x3^(7/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 10*q^(9) - 17*q^(8) - 26*q^(7) - 37*q^(6) - 48*q^(5) - 58*q^(4) - 66*q^(3) - 69*q^(2) - 69*q - 64*1 - 56*q^(-1) - 45*q^(-2) - 35*q^(-3) - 24*q^(-4) - 16*q^(-5) - 9*q^(-6) - 5*q^(-7) - 2*q^(-8) - q^(-9))*x1^(11/2)*x2^(7/2)*x3^(9/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 10*q^(9) - 18*q^(8) - 28*q^(7) - 43*q^(6) - 59*q^(5) - 78*q^(4) - 96*q^(3) - 114*q^(2) - 126*q - 136*1 - 137*q^(-1) - 134*q^(-2) - 123*q^(-3) - 110*q^(-4) - 91*q^(-5) - 74*q^(-6) - 55*q^(-7) - 40*q^(-8) - 26*q^(-9) - 17*q^(-10) - 9*q^(-11) - 5*q^(-12) - 2*q^(-13) - q^(-14))*x1^(11/2)*x2^(7/2)*x3^(11/2) + (q^(15) + q^(14) + 2*q^(13) + 2*q^(12) + 2*q^(11) + q^(10) + q^(9))*x1^(11/2)*x2^(9/2)*x3^(3/2) + (q^(15) + 2*q^(14) + 5*q^(13) + 7*q^(12) + 10*q^(11) + 11*q^(10) + 11*q^(9) + 9*q^(8) + 7*q^(7) + 4*q^(6) + 2*q^(5) + q^(4))*x1^(11/2)*x2^(9/2)*x3^(5/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 10*q^(12) + 17*q^(11) + 23*q^(10) + 30*q^(9) + 33*q^(8) + 35*q^(7) + 32*q^(6) + 28*q^(5) + 21*q^(4) + 15*q^(3) + 9*q^(2) + 5*q + 2*1 + q^(-1))*x1^(11/2)*x2^(9/2)*x3^(7/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 11*q^(12) + 20*q^(11) + 30*q^(10) + 44*q^(9) + 56*q^(8) + 69*q^(7) + 77*q^(6) + 82*q^(5) + 80*q^(4) + 75*q^(3) + 64*q^(2) + 52*q + 39*1 + 27*q^(-1) + 17*q^(-2) + 10*q^(-3) + 5*q^(-4) + 2*q^(-5) + q^(-6))*x1^(11/2)*x2^(9/2)*x3^(9/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 11*q^(12) + 21*q^(11) + 33*q^(10) + 52*q^(9) + 71*q^(8) + 95*q^(7) + 116*q^(6) + 138*q^(5) + 153*q^(4) + 163*q^(3) + 164*q^(2) + 160*q + 146*1 + 129*q^(-1) + 107*q^(-2) + 85*q^(-3) + 63*q^(-4) + 45*q^(-5) + 29*q^(-6) + 18*q^(-7) + 10*q^(-8) + 5*q^(-9) + 2*q^(-10) + q^(-11))*x1^(11/2)*x2^(9/2)*x3^(11/2) + (-q^(17) - q^(16) - q^(15) - q^(14) - q^(13))*x1^(11/2)*x2^(11/2)*x3^(3/2) + (-q^(17) - 3*q^(16) - 4*q^(15) - 6*q^(14) - 7*q^(13) - 7*q^(12) - 5*q^(11) - 4*q^(10) - 2*q^(9) - q^(8))*x1^(11/2)*x2^(11/2)*x3^(5/2) + (-q^(17) - 3*q^(16) - 6*q^(15) - 10*q^(14) - 15*q^(13) - 19*q^(12) - 22*q^(11) - 22*q^(10) - 21*q^(9) - 17*q^(8) - 13*q^(7) - 8*q^(6) - 5*q^(5) - 2*q^(4) - q^(3))*x1^(11/2)*x2^(11/2)*x3^(7/2) + (-q^(17) - 3*q^(16) - 6*q^(15) - 13*q^(14) - 20*q^(13) - 29*q^(12) - 38*q^(11) - 47*q^(10) - 51*q^(9) - 55*q^(8) - 53*q^(7) - 49*q^(6) - 41*q^(5) - 33*q^(4) - 23*q^(3) - 16*q^(2) - 9*q - 5*1 - 2*q^(-1) - q^(-2))*x1^(11/2)*x2^(11/2)*x3^(9/2) + (-q^(17) - 3*q^(16) - 7*q^(15) - 15*q^(14) - 26*q^(13) - 39*q^(12) - 55*q^(11) - 73*q^(10) - 87*q^(9) - 99*q^(8) - 109*q^(7) - 113*q^(6) - 113*q^(5) - 107*q^(4) - 98*q^(3) - 84*q^(2) - 70*q - 53*1 - 39*q^(-1) - 26*q^(-2) - 17*q^(-3) - 9*q^(-4) - 5*q^(-5) - 2*q^(-6) - q^(-7))*x1^(11/2)*x2^(11/2)*x3^(11/2)
(-1/2, -3/2, -3/2) (1, 1, 1) x1^(1/2)x2^(3/2)x3^(3/2) q^(3) 
{"0": [1, 1, -1, 1], "1": [1, 1, 1, 1, 1, 1, 1, 1], "2": [-1, 1, 1, 1, 1, 1, 1, 1]}
 
(-q^(3))*x1^(1/2)*x2^(3/2)*x3^(3/2) + (-q^(3))*x1^(1/2)*x2^(3/2)*x3^(5/2) + (-q^(3))*x1^(1/2)*x2^(3/2)*x3^(7/2) + (-q^(3))*x1^(1/2)*x2^(3/2)*x3^(9/2) + (-q^(3))*x1^(1/2)*x2^(3/2)*x3^(11/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(5/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(7/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(9/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(11/2) + (q^(9))*x1^(1/2)*x2^(9/2)*x3^(11/2) + (-q^(10))*x1^(1/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(3/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2))*x1^(3/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - q)*x1^(3/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - q - 1)*x1^(3/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(3/2)*x2^(3/2)*x3^(11/2) + (q^(4))*x1^(3/2)*x2^(5/2)*x3^(3/2) + (2*q^(4) + q^(3))*x1^(3/2)*x2^(5/2)*x3^(5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(3/2)*x2^(5/2)*x3^(7/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(3/2)*x2^(5/2)*x3^(9/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(3/2)*x2^(5/2)*x3^(11/2) + (-q^(5))*x1^(3/2)*x2^(7/2)*x3^(5/2) + (-q^(5) - q^(4))*x1^(3/2)*x2^(7/2)*x3^(7/2) + (-q^(5) - q^(4) - q^(3))*x1^(3/2)*x2^(7/2)*x3^(9/2) + (-q^(5) - q^(4) - q^(3) - q^(2))*x1^(3/2)*x2^(7/2)*x3^(11/2) + (q^(9) + q^(8))*x1^(3/2)*x2^(9/2)*x3^(11/2) + (-q^(10))*x1^(3/2)*x2^(11/2)*x3^(9/2) + (-q^(11) - 3*q^(10) - q^(9))*x1^(3/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(5/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2) - q)*x1^(5/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(5/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(5/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(5/2)*x2^(3/2)*x3^(11/2) + (q^(5) + q^(4))*x1^(5/2)*x2^(5/2)*x3^(3/2) + (q^(5) + 3*q^(4) + 2*q^(3) + q^(2))*x1^(5/2)*x2^(5/2)*x3^(5/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 4*q^(2) + 2*q + 1)*x1^(5/2)*x2^(5/2)*x3^(7/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 6*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(5/2)*x2^(5/2)*x3^(9/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 6*q^(2) + 7*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(5/2)*x2^(5/2)*x3^(11/2) + (-q^(6))*x1^(5/2)*x2^(7/2)*x3^(3/2) + (-2*q^(6) - 2*q^(5) - q^(4))*x1^(5/2)*x2^(7/2)*x3^(5/2) + (-2*q^(6) - 3*q^(5) - 4*q^(4) - 2*q^(3) - q^(2))*x1^(5/2)*x2^(7/2)*x3^(7/2) + (-2*q^(6) - 3*q^(5) - 5*q^(4) - 5*q^(3) - 4*q^(2) - 2*q - 1)*x1^(5/2)*x2^(7/2)*x3^(9/2) + (-2*q^(6) - 3*q^(5) - 5*q^(4) - 6*q^(3) - 7*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(5/2)*x2^(7/2)*x3^(11/2) + (q^(7))*x1^(5/2)*x2^(9/2)*x3^(5/2) + (q^(7) + q^(6) + q^(5))*x1^(5/2)*x2^(9/2)*x3^(7/2) + (q^(7) + q^(6) + 2*q^(5) + q^(4) + q^(3))*x1^(5/2)*x2^(9/2)*x3^(9/2) + (q^(9) + q^(8) + 2*q^(7) + q^(6) + 2*q^(5) + 2*q^(4) + 2*q^(3) + q^(2) + q)*x1^(5/2)*x2^(9/2)*x3^(11/2) + (-q^(11) - q^(10))*x1^(5/2)*x2^(11/2)*x3^(9/2) + (-q^(12) - 3*q^(11) - 5*q^(10) - 3*q^(9) - q^(8))*x1^(5/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(7/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2) - q - 1)*x1^(7/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(7/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) - 2*q^(-4) - q^(-5) - q^(-6))*x1^(7/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 4*q^(-2) - 5*q^(-3) - 4*q^(-4) - 4*q^(-5) - 3*q^(-6) - 2*q^(-7) - q^(-8) - q^(-9))*x1^(7/2)*x2^(3/2)*x3^(11/2) + (q^(6) + q^(5) + q^(4))*x1^(7/2)*x2^(5/2)*x3^(3/2) + (q^(6) + 2*q^(5) + 4*q^(4) + 3*q^(3) + 2*q^(2) + q)*x1^(7/2)*x2^(5/2)*x3^(5/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 6*q^(3) + 7*q^(2) + 6*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(7/2)*x2^(5/2)*x3^(7/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 7*q^(3) + 10*q^(2) + 11*q + 11*1 + 9*q^(-1) + 7*q^(-2) + 4*q^(-3) + 2*q^(-4) + q^(-5))*x1^(7/2)*x2^(5/2)*x3^(9/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 7*q^(3) + 11*q^(2) + 14*q + 16*1 + 16*q^(-1) + 16*q^(-2) + 13*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(7/2)*x2^(5/2)*x3^(11/2) + (-q^(8) - q^(7) - q^(6))*x1^(7/2)*x2^(7/2)*x3^(3/2) + (-q^(8) - 3*q^(7) - 4*q^(6) - 4*q^(5) - 2*q^(4) - q^(3))*x1^(7/2)*x2^(7/2)*x3^(5/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 8*q^(5) - 9*q^(4) - 7*q^(3) - 5*q^(2) - 2*q - 1)*x1^(7/2)*x2^(7/2)*x3^(7/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 10*q^(5) - 13*q^(4) - 15*q^(3) - 14*q^(2) - 12*q - 8*1 - 5*q^(-1) - 2*q^(-2) - q^(-3))*x1^(7/2)*x2^(7/2)*x3^(9/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 10*q^(5) - 15*q^(4) - 19*q^(3) - 22*q^(2) - 22*q - 21*1 - 17*q^(-1) - 13*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(7/2)*x2^(7/2)*x3^(11/2) + (q^(9))*x1^(7/2)*x2^(9/2)*x3^(3/2) + (2*q^(9) + 2*q^(8) + 2*q^(7) + q^(6))*x1^(7/2)*x2^(9/2)*x3^(5/2) + (2*q^(9) + 3*q^(8) + 5*q^(7) + 5*q^(6) + 4*q^(5) + 2*q^(4) + q^(3))*x1^(7/2)*x2^(9/2)*x3^(7/2) + (2*q^(9) + 3*q^(8) + 6*q^(7) + 8*q^(6) + 9*q^(5) + 8*q^(4) + 7*q^(3) + 4*q^(2) + 2*q + 1)*x1^(7/2)*x2^(9/2)*x3^(9/2) + (3*q^(9) + 4*q^(8) + 7*q^(7) + 10*q^(6) + 12*q^(5) + 13*q^(4) + 14*q^(3) + 12*q^(2) + 10*q + 7*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(7/2)*x2^(9/2)*x3^(11/2) + (-q^(10))*x1^(7/2)*x2^(11/2)*x3^(5/2) + (-q^(10) - q^(9) - q^(8) - q^(7))*x1^(7/2)*x2^(11/2)*x3^(7/2) + (-q^(12) - q^(11) - 2*q^(10) - q^(9) - 2*q^(8) - 2*q^(7) - 2*q^(6) - q^(5) - q^(4))*x1^(7/2)*x2^(11/2)*x3^(9/2) + (-q^(13) - 3*q^(12) - 5*q^(11) - 8*q^(10) - 6*q^(9) - 5*q^(8) - 4*q^(7) - 3*q^(6) - 3*q^(5) - 3*q^(4) - 2*q^(3) - q^(2) - q)*x1^(7/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(9/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(9/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(9/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 4*q^(-2) - 5*q^(-3) - 4*q^(-4) - 4*q^(-5) - 3*q^(-6) - 2*q^(-7) - q^(-8) - q^(-9))*x1^(9/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 5*q^(-1) - 5*q^(-2) - 7*q^(-3) - 7*q^(-4) - 8*q^(-5) - 7*q^(-6) - 7*q^(-7) - 5*q^(-8) - 5*q^(-9) - 3*q^(-10) - 2*q^(-11) - q^(-12) - q^(-13))*x1^(9/2)*x2^(3/2)*x3^(11/2) + (q^(7) + q^(6) + q^(5) + q^(4))*x1^(9/2)*x2^(5/2)*x3^(3/2) + (q^(7) + 2*q^(6) + 3*q^(5) + 5*q^(4) + 4*q^(3) + 3*q^(2) + 2*q + 1)*x1^(9/2)*x2^(5/2)*x3^(5/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 7*q^(4) + 9*q^(3) + 10*q^(2) + 10*q + 9*1 + 6*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(9/2)*x2^(5/2)*x3^(7/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 8*q^(4) + 11*q^(3) + 15*q^(2) + 18*q + 20*1 + 19*q^(-1) + 18*q^(-2) + 14*q^(-3) + 11*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(9/2)*x2^(5/2)*x3^(9/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 8*q^(4) + 12*q^(3) + 17*q^(2) + 23*q + 28*1 + 31*q^(-1) + 34*q^(-2) + 33*q^(-3) + 31*q^(-4) + 27*q^(-5) + 22*q^(-6) + 16*q^(-7) + 12*q^(-8) + 7*q^(-9) + 4*q^(-10) + 2*q^(-11) + q^(-12))*x1^(9/2)*x2^(5/2)*x3^(11/2) + (-q^(10) - q^(9) - 2*q^(8) - q^(7) - q^(6))*x1^(9/2)*x2^(7/2)*x3^(3/2) + (-q^(10) - 2*q^(9) - 5*q^(8) - 6*q^(7) - 7*q^(6) - 6*q^(5) - 4*q^(4) - 2*q^(3) - q^(2))*x1^(9/2)*x2^(7/2)*x3^(5/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 14*q^(6) - 16*q^(5) - 18*q^(4) - 15*q^(3) - 13*q^(2) - 8*q - 5*1 - 2*q^(-1) - q^(-2))*x1^(9/2)*x2^(7/2)*x3^(7/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 10*q^(7) - 17*q^(6) - 23*q^(5) - 30*q^(4) - 33*q^(3) - 35*q^(2) - 32*q - 28*1 - 21*q^(-1) - 15*q^(-2) - 9*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(9/2)*x2^(7/2)*x3^(9/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 10*q^(7) - 18*q^(6) - 26*q^(5) - 37*q^(4) - 45*q^(3) - 55*q^(2) - 58*q - 61*1 - 57*q^(-1) - 52*q^(-2) - 42*q^(-3) - 34*q^(-4) - 23*q^(-5) - 16*q^(-6) - 9*q^(-7) - 5*q^(-8) - 2*q^(-9) - q^(-10))*x1^(9/2)*x2^(7/2)*x3^(11/2) + (q^(12) + q^(11) + q^(10) + q^(9))*x1^(9/2)*x2^(9/2)*x3^(3/2) + (q^(12) + 3*q^(11) + 4*q^(10) + 6*q^(9) + 5*q^(8) + 4*q^(7) + 2*q^(6) + q^(5))*x1^(9/2)*x2^(9/2)*x3^(5/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 10*q^(9) + 13*q^(8) + 15*q^(7) + 14*q^(6) + 12*q^(5) + 8*q^(4) + 5*q^(3) + 2*q^(2) + q)*x1^(9/2)*x2^(9/2)*x3^(7/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 12*q^(9) + 17*q^(8) + 24*q^(7) + 28*q^(6) + 31*q^(5) + 29*q^(4) + 27*q^(3) + 20*q^(2) + 15*q + 9*1 + 5*q^(-1) + 2*q^(-2) + q^(-3))*x1^(9/2)*x2^(9/2)*x3^(9/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 13*q^(9) + 20*q^(8) + 29*q^(7) + 38*q^(6) + 47*q^(5) + 51*q^(4) + 55*q^(3) + 53*q^(2) + 49*q + 41*1 + 33*q^(-1) + 23*q^(-2) + 16*q^(-3) + 9*q^(-4) + 5*q^(-5) + 2*q^(-6) + q^(-7))*x1^(9/2)*x2^(9/2)*x3^(11/2) + (-q^(13))*x1^(9/2)*x2^(11/2)*x3^(3/2) + (-2*q^(13) - 2*q^(12) - 2*q^(11) - 2*q^(10) - q^(9))*x1^(9/2)*x2^(11/2)*x3^(5/2) + (-2*q^(13) - 3*q^(12) - 5*q^(11) - 6*q^(10) - 7*q^(9) - 5*q^(8) - 4*q^(7) - 2*q^(6) - q^(5))*x1^(9/2)*x2^(11/2)*x3^(7/2) + (-3*q^(13) - 4*q^(12) - 7*q^(11) - 10*q^(10) - 12*q^(9) - 13*q^(8) - 14*q^(7) - 12*q^(6) - 10*q^(5) - 7*q^(4) - 4*q^(3) - 2*q^(2) - q)*x1^(9/2)*x2^(11/2)*x3^(9/2) + (-q^(14) - 5*q^(13) - 8*q^(12) - 13*q^(11) - 19*q^(10) - 22*q^(9) - 23*q^(8) - 26*q^(7) - 25*q^(6) - 25*q^(5) - 23*q^(4) - 20*q^(3) - 15*q^(2) - 12*q - 7*1 - 4*q^(-1) - 2*q^(-2) - q^(-3))*x1^(9/2)*x2^(11/2)*x3^(11/2) + (-q^(3))*x1^(11/2)*x2^(3/2)*x3^(3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1) - q^(-2))*x1^(11/2)*x2^(3/2)*x3^(5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) - 2*q^(-4) - 2*q^(-5) - q^(-6) - q^(-7))*x1^(11/2)*x2^(3/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 5*q^(-2) - 6*q^(-3) - 6*q^(-4) - 6*q^(-5) - 6*q^(-6) - 5*q^(-7) - 4*q^(-8) - 3*q^(-9) - 2*q^(-10) - q^(-11) - q^(-12))*x1^(11/2)*x2^(3/2)*x3^(9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 5*q^(-1) - 6*q^(-2) - 8*q^(-3) - 9*q^(-4) - 11*q^(-5) - 11*q^(-6) - 12*q^(-7) - 11*q^(-8) - 11*q^(-9) - 9*q^(-10) - 8*q^(-11) - 6*q^(-12) - 5*q^(-13) - 3*q^(-14) - 2*q^(-15) - q^(-16) - q^(-17))*x1^(11/2)*x2^(3/2)*x3^(11/2) + (q^(8) + q^(7) + q^(6) + q^(5) + q^(4))*x1^(11/2)*x2^(5/2)*x3^(3/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 4*q^(5) + 6*q^(4) + 5*q^(3) + 4*q^(2) + 3*q + 2*1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(5/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 6*q^(5) + 10*q^(4) + 12*q^(3) + 14*q^(2) + 14*q + 14*1 + 12*q^(-1) + 9*q^(-2) + 6*q^(-3) + 4*q^(-4) + 2*q^(-5) + q^(-6))*x1^(11/2)*x2^(5/2)*x3^(7/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 7*q^(5) + 12*q^(4) + 16*q^(3) + 22*q^(2) + 26*q + 30*1 + 32*q^(-1) + 32*q^(-2) + 29*q^(-3) + 26*q^(-4) + 21*q^(-5) + 16*q^(-6) + 11*q^(-7) + 7*q^(-8) + 4*q^(-9) + 2*q^(-10) + q^(-11))*x1^(11/2)*x2^(5/2)*x3^(9/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 7*q^(5) + 13*q^(4) + 18*q^(3) + 26*q^(2) + 34*q + 43*1 + 50*q^(-1) + 57*q^(-2) + 60*q^(-3) + 62*q^(-4) + 60*q^(-5) + 56*q^(-6) + 49*q^(-7) + 42*q^(-8) + 33*q^(-9) + 25*q^(-10) + 18*q^(-11) + 12*q^(-12) + 7*q^(-13) + 4*q^(-14) + 2*q^(-15) + q^(-16))*x1^(11/2)*x2^(5/2)*x3^(11/2) + (-q^(12) - q^(11) - 2*q^(10) - 2*q^(9) - 2*q^(8) - q^(7) - q^(6))*x1^(11/2)*x2^(7/2)*x3^(3/2) + (-q^(12) - 2*q^(11) - 4*q^(10) - 7*q^(9) - 9*q^(8) - 10*q^(7) - 10*q^(6) - 9*q^(5) - 6*q^(4) - 4*q^(3) - 2*q^(2) - q)*x1^(11/2)*x2^(7/2)*x3^(5/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 9*q^(9) - 15*q^(8) - 20*q^(7) - 26*q^(6) - 29*q^(5) - 31*q^(4) - 28*q^(3) - 25*q^(2) - 19*q - 14*1 - 8*q^(-1) - 5*q^(-2) - 2*q^(-3) - q^(-4))*x1^(11/2)*x2^(7/2)*x3^(7/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 10*q^(9) - 17*q^(8) - 26*q^(7) - 37*q^(6) - 48*q^(5) - 58*q^(4) - 66*q^(3) - 69*q^(2) - 69*q - 64*1 - 56*q^(-1) - 45*q^(-2) - 35*q^(-3) - 24*q^(-4) - 16*q^(-5) - 9*q^(-6) - 5*q^(-7) - 2*q^(-8) - q^(-9))*x1^(11/2)*x2^(7/2)*x3^(9/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 10*q^(9) - 18*q^(8) - 28*q^(7) - 43*q^(6) - 59*q^(5) - 78*q^(4) - 96*q^(3) - 114*q^(2) - 126*q - 136*1 - 137*q^(-1) - 134*q^(-2) - 123*q^(-3) - 110*q^(-4) - 91*q^(-5) - 74*q^(-6) - 55*q^(-7) - 40*q^(-8) - 26*q^(-9) - 17*q^(-10) - 9*q^(-11) - 5*q^(-12) - 2*q^(-13) - q^(-14))*x1^(11/2)*x2^(7/2)*x3^(11/2) + (q^(15) + q^(14) + 2*q^(13) + 2*q^(12) + 2*q^(11) + q^(10) + q^(9))*x1^(11/2)*x2^(9/2)*x3^(3/2) + (q^(15) + 2*q^(14) + 5*q^(13) + 7*q^(12) + 10*q^(11) + 11*q^(10) + 11*q^(9) + 9*q^(8) + 7*q^(7) + 4*q^(6) + 2*q^(5) + q^(4))*x1^(11/2)*x2^(9/2)*x3^(5/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 10*q^(12) + 17*q^(11) + 23*q^(10) + 30*q^(9) + 33*q^(8) + 35*q^(7) + 32*q^(6) + 28*q^(5) + 21*q^(4) + 15*q^(3) + 9*q^(2) + 5*q + 2*1 + q^(-1))*x1^(11/2)*x2^(9/2)*x3^(7/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 11*q^(12) + 20*q^(11) + 30*q^(10) + 44*q^(9) + 56*q^(8) + 69*q^(7) + 77*q^(6) + 82*q^(5) + 80*q^(4) + 75*q^(3) + 64*q^(2) + 52*q + 39*1 + 27*q^(-1) + 17*q^(-2) + 10*q^(-3) + 5*q^(-4) + 2*q^(-5) + q^(-6))*x1^(11/2)*x2^(9/2)*x3^(9/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 11*q^(12) + 21*q^(11) + 33*q^(10) + 52*q^(9) + 71*q^(8) + 95*q^(7) + 116*q^(6) + 138*q^(5) + 153*q^(4) + 163*q^(3) + 164*q^(2) + 160*q + 146*1 + 129*q^(-1) + 107*q^(-2) + 85*q^(-3) + 63*q^(-4) + 45*q^(-5) + 29*q^(-6) + 18*q^(-7) + 10*q^(-8) + 5*q^(-9) + 2*q^(-10) + q^(-11))*x1^(11/2)*x2^(9/2)*x3^(11/2) + (-q^(17) - q^(16) - q^(15) - q^(14) - q^(13))*x1^(11/2)*x2^(11/2)*x3^(3/2) + (-q^(17) - 3*q^(16) - 4*q^(15) - 6*q^(14) - 7*q^(13) - 7*q^(12) - 5*q^(11) - 4*q^(10) - 2*q^(9) - q^(8))*x1^(11/2)*x2^(11/2)*x3^(5/2) + (-q^(17) - 3*q^(16) - 6*q^(15) - 10*q^(14) - 15*q^(13) - 19*q^(12) - 22*q^(11) - 22*q^(10) - 21*q^(9) - 17*q^(8) - 13*q^(7) - 8*q^(6) - 5*q^(5) - 2*q^(4) - q^(3))*x1^(11/2)*x2^(11/2)*x3^(7/2) + (-q^(17) - 3*q^(16) - 6*q^(15) - 13*q^(14) - 20*q^(13) - 29*q^(12) - 38*q^(11) - 47*q^(10) - 51*q^(9) - 55*q^(8) - 53*q^(7) - 49*q^(6) - 41*q^(5) - 33*q^(4) - 23*q^(3) - 16*q^(2) - 9*q - 5*1 - 2*q^(-1) - q^(-2))*x1^(11/2)*x2^(11/2)*x3^(9/2) + (-q^(17) - 3*q^(16) - 7*q^(15) - 15*q^(14) - 26*q^(13) - 39*q^(12) - 55*q^(11) - 73*q^(10) - 87*q^(9) - 99*q^(8) - 109*q^(7) - 113*q^(6) - 113*q^(5) - 107*q^(4) - 98*q^(3) - 84*q^(2) - 70*q - 53*1 - 39*q^(-1) - 26*q^(-2) - 17*q^(-3) - 9*q^(-4) - 5*q^(-5) - 2*q^(-6) - q^(-7))*x1^(11/2)*x2^(11/2)*x3^(11/2)
(1/2, 3/2, 3/2) x1^(-1/2)x2^(-3/2)x3^(-3/2) q^(3) 
(-q^(3))*x1^(-1/2)*x2^(-3/2)*x3^(-3/2) + (-q^(3))*x1^(-1/2)*x2^(-3/2)*x3^(-5/2) + (-q^(3))*x1^(-1/2)*x2^(-3/2)*x3^(-7/2) + (-q^(3))*x1^(-1/2)*x2^(-3/2)*x3^(-9/2) + (-q^(3))*x1^(-1/2)*x2^(-3/2)*x3^(-11/2) + (q^(4))*x1^(-1/2)*x2^(-5/2)*x3^(-5/2) + (q^(4))*x1^(-1/2)*x2^(-5/2)*x3^(-7/2) + (q^(4))*x1^(-1/2)*x2^(-5/2)*x3^(-9/2) + (q^(4))*x1^(-1/2)*x2^(-5/2)*x3^(-11/2) + (q^(9))*x1^(-1/2)*x2^(-9/2)*x3^(-11/2) + (-q^(10))*x1^(-1/2)*x2^(-11/2)*x3^(-11/2) + (-q^(3))*x1^(-3/2)*x2^(-3/2)*x3^(-3/2) + (-q^(3) - q^(2))*x1^(-3/2)*x2^(-3/2)*x3^(-5/2) + (-q^(3) - q^(2) - q)*x1^(-3/2)*x2^(-3/2)*x3^(-7/2) + (-q^(3) - q^(2) - q - 1)*x1^(-3/2)*x2^(-3/2)*x3^(-9/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(-3/2)*x2^(-3/2)*x3^(-11/2) + (q^(4))*x1^(-3/2)*x2^(-5/2)*x3^(-3/2) + (2*q^(4) + q^(3))*x1^(-3/2)*x2^(-5/2)*x3^(-5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(-3/2)*x2^(-5/2)*x3^(-7/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(-3/2)*x2^(-5/2)*x3^(-9/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(-3/2)*x2^(-5/2)*x3^(-11/2) + (-q^(5))*x1^(-3/2)*x2^(-7/2)*x3^(-5/2) + (-q^(5) - q^(4))*x1^(-3/2)*x2^(-7/2)*x3^(-7/2) + (-q^(5) - q^(4) - q^(3))*x1^(-3/2)*x2^(-7/2)*x3^(-9/2) + (-q^(5) - q^(4) - q^(3) - q^(2))*x1^(-3/2)*x2^(-7/2)*x3^(-11/2) + (q^(9) + q^(8))*x1^(-3/2)*x2^(-9/2)*x3^(-11/2) + (-q^(10))*x1^(-3/2)*x2^(-11/2)*x3^(-9/2) + (-q^(11) - 3*q^(10) - q^(9))*x1^(-3/2)*x2^(-11/2)*x3^(-11/2) + (-q^(3))*x1^(-5/2)*x2^(-3/2)*x3^(-3/2) + (-q^(3) - q^(2) - q)*x1^(-5/2)*x2^(-3/2)*x3^(-5/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(-5/2)*x2^(-3/2)*x3^(-7/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(-5/2)*x2^(-3/2)*x3^(-9/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(-5/2)*x2^(-3/2)*x3^(-11/2) + (q^(5) + q^(4))*x1^(-5/2)*x2^(-5/2)*x3^(-3/2) + (q^(5) + 3*q^(4) + 2*q^(3) + q^(2))*x1^(-5/2)*x2^(-5/2)*x3^(-5/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 4*q^(2) + 2*q + 1)*x1^(-5/2)*x2^(-5/2)*x3^(-7/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 6*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(-5/2)*x2^(-5/2)*x3^(-9/2) + (q^(5) + 3*q^(4) + 4*q^(3) + 6*q^(2) + 7*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(-5/2)*x2^(-5/2)*x3^(-11/2) + (-q^(6))*x1^(-5/2)*x2^(-7/2)*x3^(-3/2) + (-2*q^(6) - 2*q^(5) - q^(4))*x1^(-5/2)*x2^(-7/2)*x3^(-5/2) + (-2*q^(6) - 3*q^(5) - 4*q^(4) - 2*q^(3) - q^(2))*x1^(-5/2)*x2^(-7/2)*x3^(-7/2) + (-2*q^(6) - 3*q^(5) - 5*q^(4) - 5*q^(3) - 4*q^(2) - 2*q - 1)*x1^(-5/2)*x2^(-7/2)*x3^(-9/2) + (-2*q^(6) - 3*q^(5) - 5*q^(4) - 6*q^(3) - 7*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(-5/2)*x2^(-7/2)*x3^(-11/2) + (q^(7))*x1^(-5/2)*x2^(-9/2)*x3^(-5/2) + (q^(7) + q^(6) + q^(5))*x1^(-5/2)*x2^(-9/2)*x3^(-7/2) + (q^(7) + q^(6) + 2*q^(5) + q^(4) + q^(3))*x1^(-5/2)*x2^(-9/2)*x3^(-9/2) + (q^(9) + q^(8) + 2*q^(7) + q^(6) + 2*q^(5) + 2*q^(4) + 2*q^(3) + q^(2) + q)*x1^(-5/2)*x2^(-9/2)*x3^(-11/2) + (-q^(11) - q^(10))*x1^(-5/2)*x2^(-11/2)*x3^(-9/2) + (-q^(12) - 3*q^(11) - 5*q^(10) - 3*q^(9) - q^(8))*x1^(-5/2)*x2^(-11/2)*x3^(-11/2) + (-q^(3))*x1^(-7/2)*x2^(-3/2)*x3^(-3/2) + (-q^(3) - q^(2) - q - 1)*x1^(-7/2)*x2^(-3/2)*x3^(-5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(-7/2)*x2^(-3/2)*x3^(-7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) - 2*q^(-4) - q^(-5) - q^(-6))*x1^(-7/2)*x2^(-3/2)*x3^(-9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 4*q^(-2) - 5*q^(-3) - 4*q^(-4) - 4*q^(-5) - 3*q^(-6) - 2*q^(-7) - q^(-8) - q^(-9))*x1^(-7/2)*x2^(-3/2)*x3^(-11/2) + (q^(6) + q^(5) + q^(4))*x1^(-7/2)*x2^(-5/2)*x3^(-3/2) + (q^(6) + 2*q^(5) + 4*q^(4) + 3*q^(3) + 2*q^(2) + q)*x1^(-7/2)*x2^(-5/2)*x3^(-5/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 6*q^(3) + 7*q^(2) + 6*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(-7/2)*x2^(-5/2)*x3^(-7/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 7*q^(3) + 10*q^(2) + 11*q + 11*1 + 9*q^(-1) + 7*q^(-2) + 4*q^(-3) + 2*q^(-4) + q^(-5))*x1^(-7/2)*x2^(-5/2)*x3^(-9/2) + (q^(6) + 2*q^(5) + 5*q^(4) + 7*q^(3) + 11*q^(2) + 14*q + 16*1 + 16*q^(-1) + 16*q^(-2) + 13*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(-7/2)*x2^(-5/2)*x3^(-11/2) + (-q^(8) - q^(7) - q^(6))*x1^(-7/2)*x2^(-7/2)*x3^(-3/2) + (-q^(8) - 3*q^(7) - 4*q^(6) - 4*q^(5) - 2*q^(4) - q^(3))*x1^(-7/2)*x2^(-7/2)*x3^(-5/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 8*q^(5) - 9*q^(4) - 7*q^(3) - 5*q^(2) - 2*q - 1)*x1^(-7/2)*x2^(-7/2)*x3^(-7/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 10*q^(5) - 13*q^(4) - 15*q^(3) - 14*q^(2) - 12*q - 8*1 - 5*q^(-1) - 2*q^(-2) - q^(-3))*x1^(-7/2)*x2^(-7/2)*x3^(-9/2) + (-q^(8) - 3*q^(7) - 6*q^(6) - 10*q^(5) - 15*q^(4) - 19*q^(3) - 22*q^(2) - 22*q - 21*1 - 17*q^(-1) - 13*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(-7/2)*x2^(-7/2)*x3^(-11/2) + (q^(9))*x1^(-7/2)*x2^(-9/2)*x3^(-3/2) + (2*q^(9) + 2*q^(8) + 2*q^(7) + q^(6))*x1^(-7/2)*x2^(-9/2)*x3^(-5/2) + (2*q^(9) + 3*q^(8) + 5*q^(7) + 5*q^(6) + 4*q^(5) + 2*q^(4) + q^(3))*x1^(-7/2)*x2^(-9/2)*x3^(-7/2) + (2*q^(9) + 3*q^(8) + 6*q^(7) + 8*q^(6) + 9*q^(5) + 8*q^(4) + 7*q^(3) + 4*q^(2) + 2*q + 1)*x1^(-7/2)*x2^(-9/2)*x3^(-9/2) + (3*q^(9) + 4*q^(8) + 7*q^(7) + 10*q^(6) + 12*q^(5) + 13*q^(4) + 14*q^(3) + 12*q^(2) + 10*q + 7*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(-7/2)*x2^(-9/2)*x3^(-11/2) + (-q^(10))*x1^(-7/2)*x2^(-11/2)*x3^(-5/2) + (-q^(10) - q^(9) - q^(8) - q^(7))*x1^(-7/2)*x2^(-11/2)*x3^(-7/2) + (-q^(12) - q^(11) - 2*q^(10) - q^(9) - 2*q^(8) - 2*q^(7) - 2*q^(6) - q^(5) - q^(4))*x1^(-7/2)*x2^(-11/2)*x3^(-9/2) + (-q^(13) - 3*q^(12) - 5*q^(11) - 8*q^(10) - 6*q^(9) - 5*q^(8) - 4*q^(7) - 3*q^(6) - 3*q^(5) - 3*q^(4) - 2*q^(3) - q^(2) - q)*x1^(-7/2)*x2^(-11/2)*x3^(-11/2) + (-q^(3))*x1^(-9/2)*x2^(-3/2)*x3^(-3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(-9/2)*x2^(-3/2)*x3^(-5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(-9/2)*x2^(-3/2)*x3^(-7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 4*q^(-2) - 5*q^(-3) - 4*q^(-4) - 4*q^(-5) - 3*q^(-6) - 2*q^(-7) - q^(-8) - q^(-9))*x1^(-9/2)*x2^(-3/2)*x3^(-9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 5*q^(-1) - 5*q^(-2) - 7*q^(-3) - 7*q^(-4) - 8*q^(-5) - 7*q^(-6) - 7*q^(-7) - 5*q^(-8) - 5*q^(-9) - 3*q^(-10) - 2*q^(-11) - q^(-12) - q^(-13))*x1^(-9/2)*x2^(-3/2)*x3^(-11/2) + (q^(7) + q^(6) + q^(5) + q^(4))*x1^(-9/2)*x2^(-5/2)*x3^(-3/2) + (q^(7) + 2*q^(6) + 3*q^(5) + 5*q^(4) + 4*q^(3) + 3*q^(2) + 2*q + 1)*x1^(-9/2)*x2^(-5/2)*x3^(-5/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 7*q^(4) + 9*q^(3) + 10*q^(2) + 10*q + 9*1 + 6*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(-9/2)*x2^(-5/2)*x3^(-7/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 8*q^(4) + 11*q^(3) + 15*q^(2) + 18*q + 20*1 + 19*q^(-1) + 18*q^(-2) + 14*q^(-3) + 11*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(-9/2)*x2^(-5/2)*x3^(-9/2) + (q^(7) + 2*q^(6) + 4*q^(5) + 8*q^(4) + 12*q^(3) + 17*q^(2) + 23*q + 28*1 + 31*q^(-1) + 34*q^(-2) + 33*q^(-3) + 31*q^(-4) + 27*q^(-5) + 22*q^(-6) + 16*q^(-7) + 12*q^(-8) + 7*q^(-9) + 4*q^(-10) + 2*q^(-11) + q^(-12))*x1^(-9/2)*x2^(-5/2)*x3^(-11/2) + (-q^(10) - q^(9) - 2*q^(8) - q^(7) - q^(6))*x1^(-9/2)*x2^(-7/2)*x3^(-3/2) + (-q^(10) - 2*q^(9) - 5*q^(8) - 6*q^(7) - 7*q^(6) - 6*q^(5) - 4*q^(4) - 2*q^(3) - q^(2))*x1^(-9/2)*x2^(-7/2)*x3^(-5/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 14*q^(6) - 16*q^(5) - 18*q^(4) - 15*q^(3) - 13*q^(2) - 8*q - 5*1 - 2*q^(-1) - q^(-2))*x1^(-9/2)*x2^(-7/2)*x3^(-7/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 10*q^(7) - 17*q^(6) - 23*q^(5) - 30*q^(4) - 33*q^(3) - 35*q^(2) - 32*q - 28*1 - 21*q^(-1) - 15*q^(-2) - 9*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(-9/2)*x2^(-7/2)*x3^(-9/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 10*q^(7) - 18*q^(6) - 26*q^(5) - 37*q^(4) - 45*q^(3) - 55*q^(2) - 58*q - 61*1 - 57*q^(-1) - 52*q^(-2) - 42*q^(-3) - 34*q^(-4) - 23*q^(-5) - 16*q^(-6) - 9*q^(-7) - 5*q^(-8) - 2*q^(-9) - q^(-10))*x1^(-9/2)*x2^(-7/2)*x3^(-11/2) + (q^(12) + q^(11) + q^(10) + q^(9))*x1^(-9/2)*x2^(-9/2)*x3^(-3/2) + (q^(12) + 3*q^(11) + 4*q^(10) + 6*q^(9) + 5*q^(8) + 4*q^(7) + 2*q^(6) + q^(5))*x1^(-9/2)*x2^(-9/2)*x3^(-5/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 10*q^(9) + 13*q^(8) + 15*q^(7) + 14*q^(6) + 12*q^(5) + 8*q^(4) + 5*q^(3) + 2*q^(2) + q)*x1^(-9/2)*x2^(-9/2)*x3^(-7/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 12*q^(9) + 17*q^(8) + 24*q^(7) + 28*q^(6) + 31*q^(5) + 29*q^(4) + 27*q^(3) + 20*q^(2) + 15*q + 9*1 + 5*q^(-1) + 2*q^(-2) + q^(-3))*x1^(-9/2)*x2^(-9/2)*x3^(-9/2) + (q^(12) + 3*q^(11) + 6*q^(10) + 13*q^(9) + 20*q^(8) + 29*q^(7) + 38*q^(6) + 47*q^(5) + 51*q^(4) + 55*q^(3) + 53*q^(2) + 49*q + 41*1 + 33*q^(-1) + 23*q^(-2) + 16*q^(-3) + 9*q^(-4) + 5*q^(-5) + 2*q^(-6) + q^(-7))*x1^(-9/2)*x2^(-9/2)*x3^(-11/2) + (-q^(13))*x1^(-9/2)*x2^(-11/2)*x3^(-3/2) + (-2*q^(13) - 2*q^(12) - 2*q^(11) - 2*q^(10) - q^(9))*x1^(-9/2)*x2^(-11/2)*x3^(-5/2) + (-2*q^(13) - 3*q^(12) - 5*q^(11) - 6*q^(10) - 7*q^(9) - 5*q^(8) - 4*q^(7) - 2*q^(6) - q^(5))*x1^(-9/2)*x2^(-11/2)*x3^(-7/2) + (-3*q^(13) - 4*q^(12) - 7*q^(11) - 10*q^(10) - 12*q^(9) - 13*q^(8) - 14*q^(7) - 12*q^(6) - 10*q^(5) - 7*q^(4) - 4*q^(3) - 2*q^(2) - q)*x1^(-9/2)*x2^(-11/2)*x3^(-9/2) + (-q^(14) - 5*q^(13) - 8*q^(12) - 13*q^(11) - 19*q^(10) - 22*q^(9) - 23*q^(8) - 26*q^(7) - 25*q^(6) - 25*q^(5) - 23*q^(4) - 20*q^(3) - 15*q^(2) - 12*q - 7*1 - 4*q^(-1) - 2*q^(-2) - q^(-3))*x1^(-9/2)*x2^(-11/2)*x3^(-11/2) + (-q^(3))*x1^(-11/2)*x2^(-3/2)*x3^(-3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1) - q^(-2))*x1^(-11/2)*x2^(-3/2)*x3^(-5/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) - 2*q^(-4) - 2*q^(-5) - q^(-6) - q^(-7))*x1^(-11/2)*x2^(-3/2)*x3^(-7/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 4*q^(-1) - 5*q^(-2) - 6*q^(-3) - 6*q^(-4) - 6*q^(-5) - 6*q^(-6) - 5*q^(-7) - 4*q^(-8) - 3*q^(-9) - 2*q^(-10) - q^(-11) - q^(-12))*x1^(-11/2)*x2^(-3/2)*x3^(-9/2) + (-q^(3) - q^(2) - 2*q - 3*1 - 5*q^(-1) - 6*q^(-2) - 8*q^(-3) - 9*q^(-4) - 11*q^(-5) - 11*q^(-6) - 12*q^(-7) - 11*q^(-8) - 11*q^(-9) - 9*q^(-10) - 8*q^(-11) - 6*q^(-12) - 5*q^(-13) - 3*q^(-14) - 2*q^(-15) - q^(-16) - q^(-17))*x1^(-11/2)*x2^(-3/2)*x3^(-11/2) + (q^(8) + q^(7) + q^(6) + q^(5) + q^(4))*x1^(-11/2)*x2^(-5/2)*x3^(-3/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 4*q^(5) + 6*q^(4) + 5*q^(3) + 4*q^(2) + 3*q + 2*1 + q^(-1))*x1^(-11/2)*x2^(-5/2)*x3^(-5/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 6*q^(5) + 10*q^(4) + 12*q^(3) + 14*q^(2) + 14*q + 14*1 + 12*q^(-1) + 9*q^(-2) + 6*q^(-3) + 4*q^(-4) + 2*q^(-5) + q^(-6))*x1^(-11/2)*x2^(-5/2)*x3^(-7/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 7*q^(5) + 12*q^(4) + 16*q^(3) + 22*q^(2) + 26*q + 30*1 + 32*q^(-1) + 32*q^(-2) + 29*q^(-3) + 26*q^(-4) + 21*q^(-5) + 16*q^(-6) + 11*q^(-7) + 7*q^(-8) + 4*q^(-9) + 2*q^(-10) + q^(-11))*x1^(-11/2)*x2^(-5/2)*x3^(-9/2) + (q^(8) + 2*q^(7) + 4*q^(6) + 7*q^(5) + 13*q^(4) + 18*q^(3) + 26*q^(2) + 34*q + 43*1 + 50*q^(-1) + 57*q^(-2) + 60*q^(-3) + 62*q^(-4) + 60*q^(-5) + 56*q^(-6) + 49*q^(-7) + 42*q^(-8) + 33*q^(-9) + 25*q^(-10) + 18*q^(-11) + 12*q^(-12) + 7*q^(-13) + 4*q^(-14) + 2*q^(-15) + q^(-16))*x1^(-11/2)*x2^(-5/2)*x3^(-11/2) + (-q^(12) - q^(11) - 2*q^(10) - 2*q^(9) - 2*q^(8) - q^(7) - q^(6))*x1^(-11/2)*x2^(-7/2)*x3^(-3/2) + (-q^(12) - 2*q^(11) - 4*q^(10) - 7*q^(9) - 9*q^(8) - 10*q^(7) - 10*q^(6) - 9*q^(5) - 6*q^(4) - 4*q^(3) - 2*q^(2) - q)*x1^(-11/2)*x2^(-7/2)*x3^(-5/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 9*q^(9) - 15*q^(8) - 20*q^(7) - 26*q^(6) - 29*q^(5) - 31*q^(4) - 28*q^(3) - 25*q^(2) - 19*q - 14*1 - 8*q^(-1) - 5*q^(-2) - 2*q^(-3) - q^(-4))*x1^(-11/2)*x2^(-7/2)*x3^(-7/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 10*q^(9) - 17*q^(8) - 26*q^(7) - 37*q^(6) - 48*q^(5) - 58*q^(4) - 66*q^(3) - 69*q^(2) - 69*q - 64*1 - 56*q^(-1) - 45*q^(-2) - 35*q^(-3) - 24*q^(-4) - 16*q^(-5) - 9*q^(-6) - 5*q^(-7) - 2*q^(-8) - q^(-9))*x1^(-11/2)*x2^(-7/2)*x3^(-9/2) + (-q^(12) - 2*q^(11) - 5*q^(10) - 10*q^(9) - 18*q^(8) - 28*q^(7) - 43*q^(6) - 59*q^(5) - 78*q^(4) - 96*q^(3) - 114*q^(2) - 126*q - 136*1 - 137*q^(-1) - 134*q^(-2) - 123*q^(-3) - 110*q^(-4) - 91*q^(-5) - 74*q^(-6) - 55*q^(-7) - 40*q^(-8) - 26*q^(-9) - 17*q^(-10) - 9*q^(-11) - 5*q^(-12) - 2*q^(-13) - q^(-14))*x1^(-11/2)*x2^(-7/2)*x3^(-11/2) + (q^(15) + q^(14) + 2*q^(13) + 2*q^(12) + 2*q^(11) + q^(10) + q^(9))*x1^(-11/2)*x2^(-9/2)*x3^(-3/2) + (q^(15) + 2*q^(14) + 5*q^(13) + 7*q^(12) + 10*q^(11) + 11*q^(10) + 11*q^(9) + 9*q^(8) + 7*q^(7) + 4*q^(6) + 2*q^(5) + q^(4))*x1^(-11/2)*x2^(-9/2)*x3^(-5/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 10*q^(12) + 17*q^(11) + 23*q^(10) + 30*q^(9) + 33*q^(8) + 35*q^(7) + 32*q^(6) + 28*q^(5) + 21*q^(4) + 15*q^(3) + 9*q^(2) + 5*q + 2*1 + q^(-1))*x1^(-11/2)*x2^(-9/2)*x3^(-7/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 11*q^(12) + 20*q^(11) + 30*q^(10) + 44*q^(9) + 56*q^(8) + 69*q^(7) + 77*q^(6) + 82*q^(5) + 80*q^(4) + 75*q^(3) + 64*q^(2) + 52*q + 39*1 + 27*q^(-1) + 17*q^(-2) + 10*q^(-3) + 5*q^(-4) + 2*q^(-5) + q^(-6))*x1^(-11/2)*x2^(-9/2)*x3^(-9/2) + (q^(15) + 2*q^(14) + 6*q^(13) + 11*q^(12) + 21*q^(11) + 33*q^(10) + 52*q^(9) + 71*q^(8) + 95*q^(7) + 116*q^(6) + 138*q^(5) + 153*q^(4) + 163*q^(3) + 164*q^(2) + 160*q + 146*1 + 129*q^(-1) + 107*q^(-2) + 85*q^(-3) + 63*q^(-4) + 45*q^(-5) + 29*q^(-6) + 18*q^(-7) + 10*q^(-8) + 5*q^(-9) + 2*q^(-10) + q^(-11))*x1^(-11/2)*x2^(-9/2)*x3^(-11/2) + (-q^(17) - q^(16) - q^(15) - q^(14) - q^(13))*x1^(-11/2)*x2^(-11/2)*x3^(-3/2) + (-q^(17) - 3*q^(16) - 4*q^(15) - 6*q^(14) - 7*q^(13) - 7*q^(12) - 5*q^(11) - 4*q^(10) - 2*q^(9) - q^(8))*x1^(-11/2)*x2^(-11/2)*x3^(-5/2) + (-q^(17) - 3*q^(16) - 6*q^(15) - 10*q^(14) - 15*q^(13) - 19*q^(12) - 22*q^(11) - 22*q^(10) - 21*q^(9) - 17*q^(8) - 13*q^(7) - 8*q^(6) - 5*q^(5) - 2*q^(4) - q^(3))*x1^(-11/2)*x2^(-11/2)*x3^(-7/2) + (-q^(17) - 3*q^(16) - 6*q^(15) - 13*q^(14) - 20*q^(13) - 29*q^(12) - 38*q^(11) - 47*q^(10) - 51*q^(9) - 55*q^(8) - 53*q^(7) - 49*q^(6) - 41*q^(5) - 33*q^(4) - 23*q^(3) - 16*q^(2) - 9*q - 5*1 - 2*q^(-1) - q^(-2))*x1^(-11/2)*x2^(-11/2)*x3^(-9/2) + (-q^(17) - 3*q^(16) - 7*q^(15) - 15*q^(14) - 26*q^(13) - 39*q^(12) - 55*q^(11) - 73*q^(10) - 87*q^(9) - 99*q^(8) - 109*q^(7) - 113*q^(6) - 113*q^(5) - 107*q^(4) - 98*q^(3) - 84*q^(2) - 70*q - 53*1 - 39*q^(-1) - 26*q^(-2) - 17*q^(-3) - 9*q^(-4) - 5*q^(-5) - 2*q^(-6) - q^(-7))*x1^(-11/2)*x2^(-11/2)*x3^(-11/2)

Braid

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

Multivariable Alexander polynomial

ΔL
-A1^(1/2)*A2^(3/2)*A3^(3/2) + A1^(1/2)*A2^(3/2)*A3^(1/2) - A1^(1/2)*A2^(1/2)*A3^(1/2) + A1^(1/2)*A2^(1/2)*A3^(-1/2) - A1^(1/2)*A2^(-1/2)*A3^(-1/2) + A1^(1/2)*A2^(-1/2)*A3^(-3/2) - A1^(1/2)*A2^(-3/2)*A3^(-3/2) + A1^(-1/2)*A2^(3/2)*A3^(3/2) - A1^(-1/2)*A2^(1/2)*A3^(3/2) + A1^(-1/2)*A2^(1/2)*A3^(1/2) - A1^(-1/2)*A2^(-1/2)*A3^(1/2) + A1^(-1/2)*A2^(-1/2)*A3^(-1/2) - A1^(-1/2)*A2^(-3/2)*A3^(-1/2) + A1^(-1/2)*A2^(-3/2)*A3^(-3/2)

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for FL.

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Dual Thurston polytope

VertexDual to fibered face
(1, -3, -3) yes
(-1, -3, -3) yes
(1, 3, 1) yes
(-1, 1, 3) yes
(1, -1, -3) yes
(1, 3, 3) yes
(-1, 3, 3) yes
(-1, -3, -1) yes
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HFL polytope

Poincaré polynomial
m^(-9)*A1^(-1)*A2^(-2)*A3^(-2) + 2*m^(-8)*A1^(-1)*A2^(-2)*A3^(-1) + m^(-8)*A1^(-1)*A2^(-1)*A3^(-2) + 2*m^(-8)*A2^(-2)*A3^(-2) + m^(-7)*A1^(-1)*A2^(-2) + 3*m^(-7)*A1^(-1)*A2^(-1)*A3^(-1) + 3*m^(-7)*A2^(-2)*A3^(-1) + 3*m^(-7)*A2^(-1)*A3^(-2) + m^(-7)*A1*A2^(-2)*A3^(-2) + 3*m^(-6)*A1^(-1)*A2^(-1) + m^(-6)*A1^(-1)*A3^(-1) + m^(-6)*A2^(-2) + 6*m^(-6)*A2^(-1)*A3^(-1) + m^(-6)*A3^(-2) + m^(-6)*A1*A2^(-2)*A3^(-1) + 2*m^(-6)*A1*A2^(-1)*A3^(-2) + m^(-5)*A1^(-1)*A2^(-1)*A3 + 3*m^(-5)*A1^(-1) + 4*m^(-5)*A2^(-1) + 4*m^(-5)*A3^(-1) + 3*m^(-5)*A1*A2^(-1)*A3^(-1) + m^(-5)*A1*A3^(-2) + 3*m^(-4)*A1^(-1)*A3 + m^(-4)*A1^(-1)*A2 + m^(-4)*A2^(-1)*A3 + 6*m^(-4) + m^(-4)*A2*A3^(-1) + m^(-4)*A1*A2^(-1) + 3*m^(-4)*A1*A3^(-1) + m^(-3)*A1^(-1)*A3^2 + 3*m^(-3)*A1^(-1)*A2*A3 + 4*m^(-3)*A3 + 4*m^(-3)*A2 + 3*m^(-3)*A1 + m^(-3)*A1*A2*A3^(-1) + 2*m^(-2)*A1^(-1)*A2*A3^2 + m^(-2)*A1^(-1)*A2^2*A3 + m^(-2)*A3^2 + 6*m^(-2)*A2*A3 + m^(-2)*A2^2 + m^(-2)*A1*A3 + 3*m^(-2)*A1*A2 + m^(-1)*A1^(-1)*A2^2*A3^2 + 3*m^(-1)*A2*A3^2 + 3*m^(-1)*A2^2*A3 + 3*m^(-1)*A1*A2*A3 + m^(-1)*A1*A2^2 + 2*A2^2*A3^2 + A1*A2*A3^2 + 2*A1*A2^2*A3 + m*A1*A2^2*A3^2
VertexMaslovRank
(-1, -2, -2)-91
(-1, -2, 0)-71
(-1, -1, -2)-81
(-1, 0, 2)-31
(-1, 2, 1)-21
(-1, 2, 2)-11
(0, -2, 0)-61
(0, 0, -2)-61
(0, 0, 2)-21
(0, 2, 0)-21
(1, -2, -2)-71
(1, -2, -1)-61
(1, 0, -2)-51
(1, 1, 2)01
(1, 2, 0)-11
(1, 2, 2)11
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Record

FL/HFL Links

orderOption(int) 2088
namestring L10a145{1;1}
statusstring success
slugstring L10a145_1_1_c9fb96bd
result_filestring details/L10a145_1_1_c9fb96bd.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 112
wall_secondsOption(float) 0.002167
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 51
vertex_countOption(int) 16
fibered_vertex_countOption(int) 8
polytope_statusstring computed
alexander_support_sizeOption(int) 14
alexander_vertex_countOption(int) 8
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a145_1_1_c9fb96bd"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a145_1_1_c9fb96bd