details/L10a140_1_1_e6d3d4c2.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^(0) 
{"0": [-1, -1, 1, -1], "1": [-1, -1, -1, -1, -1, 1, -1, 1], "2": [1, -1, -1, -1, -1, -1, 1, -1]}
 
(-1)*x1^(1/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(1/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(1/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(1/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(1/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(7/2)*x3^(5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(7/2)*x3^(7/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(7/2)*x3^(9/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(9/2)*x3^(5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(9/2)*x3^(7/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(1/2)*x2^(9/2)*x3^(9/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(1/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(11/2)*x3^(5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(11/2)*x3^(7/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(1/2)*x2^(11/2)*x3^(9/2) + (-q^(10) + q^(6) - q^(5) - q^(3) + q^(2) + q - 3*1 + q^(-1) + q^(-2) - q^(-3) - q^(-5) + q^(-6) - q^(-10))*x1^(1/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(7/2)*x3^(5/2) + (q^(4) - q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - q^(-3) + q^(-4))*x1^(3/2)*x2^(7/2)*x3^(7/2) + (q^(5) + q^(4) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + q^(-5))*x1^(3/2)*x2^(7/2)*x3^(9/2) + (q^(6) + q^(5) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-5) + q^(-6))*x1^(3/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(9/2)*x3^(5/2) + (q^(5) + q^(4) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + q^(-5))*x1^(3/2)*x2^(9/2)*x3^(7/2) + (-q^(7) + q^(6) + 3*q^(5) + q^(4) - 4*q^(3) + 2*q - 2*1 + 2*q^(-1) - 4*q^(-3) + q^(-4) + 3*q^(-5) + q^(-6) - q^(-7))*x1^(3/2)*x2^(9/2)*x3^(9/2) + (-q^(8) - q^(7) + 3*q^(6) + 3*q^(5) - q^(4) - 4*q^(3) + q^(2) + 2*q - 2*1 + 2*q^(-1) + q^(-2) - 4*q^(-3) - q^(-4) + 3*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(3/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(11/2)*x3^(5/2) + (q^(6) + q^(5) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-5) + q^(-6))*x1^(3/2)*x2^(11/2)*x3^(7/2) + (-q^(8) - q^(7) + 3*q^(6) + 3*q^(5) - q^(4) - 4*q^(3) + q^(2) + 2*q - 2*1 + 2*q^(-1) + q^(-2) - 4*q^(-3) - q^(-4) + 3*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(3/2)*x2^(11/2)*x3^(9/2) + (q^(11) - q^(9) - 3*q^(8) - q^(7) + 6*q^(6) + 2*q^(5) - 4*q^(4) - 4*q^(3) + 3*q^(2) + 2*q - 5*1 + 2*q^(-1) + 3*q^(-2) - 4*q^(-3) - 4*q^(-4) + 2*q^(-5) + 6*q^(-6) - q^(-7) - 3*q^(-8) - q^(-9) + q^(-11))*x1^(3/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(7/2)*x3^(5/2) + (q^(5) + q^(4) - q^(3) - q^(2) - 2*1 - q^(-2) - q^(-3) + q^(-4) + q^(-5))*x1^(5/2)*x2^(7/2)*x3^(7/2) + (q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + q^(-6))*x1^(5/2)*x2^(7/2)*x3^(9/2) + (q^(7) + 2*q^(6) + 2*q^(5) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(5/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(9/2)*x3^(5/2) + (q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + q^(-6))*x1^(5/2)*x2^(9/2)*x3^(7/2) + (-q^(8) - q^(7) + 3*q^(6) + 4*q^(5) + q^(4) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + q^(-4) + 4*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(5/2)*x2^(9/2)*x3^(9/2) + (-q^(9) - 2*q^(8) + 5*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - q^(2) + 2*q + 2*q^(-1) - q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 5*q^(-6) - 2*q^(-8) - q^(-9))*x1^(5/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(11/2)*x3^(5/2) + (q^(7) + 2*q^(6) + 2*q^(5) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(5/2)*x2^(11/2)*x3^(7/2) + (-q^(9) - 2*q^(8) + 5*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - q^(2) + 2*q + 2*q^(-1) - q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 5*q^(-6) - 2*q^(-8) - q^(-9))*x1^(5/2)*x2^(11/2)*x3^(9/2) + (-q^(13) + q^(12) + 2*q^(11) + q^(10) - 2*q^(9) - 5*q^(8) + q^(7) + 7*q^(6) + 3*q^(5) - 3*q^(4) - 5*q^(3) + q^(2) + q - 5*1 + q^(-1) + q^(-2) - 5*q^(-3) - 3*q^(-4) + 3*q^(-5) + 7*q^(-6) + q^(-7) - 5*q^(-8) - 2*q^(-9) + q^(-10) + 2*q^(-11) + q^(-12) - q^(-13))*x1^(5/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(7/2)*x3^(5/2) + (q^(6) + q^(5) + q^(4) - q^(3) - q^(2) - 4*1 - q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6))*x1^(7/2)*x2^(7/2)*x3^(7/2) + (q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(7/2)*x2^(7/2)*x3^(9/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - q - 4*1 - q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8))*x1^(7/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(9/2)*x3^(5/2) + (q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(7/2)*x2^(9/2)*x3^(7/2) + (-q^(9) - q^(8) + q^(7) + 4*q^(6) + 3*q^(5) + q^(4) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + q^(-4) + 3*q^(-5) + 4*q^(-6) + q^(-7) - q^(-8) - q^(-9))*x1^(7/2)*x2^(9/2)*x3^(9/2) + (-q^(10) - 2*q^(9) - q^(8) + 2*q^(7) + 5*q^(6) + 3*q^(5) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + 3*q^(-5) + 5*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) - q^(-10))*x1^(7/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(11/2)*x3^(5/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - q - 4*1 - q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8))*x1^(7/2)*x2^(11/2)*x3^(7/2) + (-q^(10) - 2*q^(9) - q^(8) + 2*q^(7) + 5*q^(6) + 3*q^(5) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + 3*q^(-5) + 5*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) - q^(-10))*x1^(7/2)*x2^(11/2)*x3^(9/2) + (-q^(15) - q^(14) + 2*q^(12) + 3*q^(11) - 2*q^(9) - q^(8) + 2*q^(7) + 6*q^(6) + 3*q^(5) - 4*q^(3) - 4*q^(2) - 2*q - 5*1 - 2*q^(-1) - 4*q^(-2) - 4*q^(-3) + 3*q^(-5) + 6*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) + 3*q^(-11) + 2*q^(-12) - q^(-14) - q^(-15))*x1^(7/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(7/2)*x3^(5/2) + (q^(7) + q^(6) + q^(5) + q^(4) - q^(3) - q^(2) - q - 4*1 - q^(-1) - q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6) + q^(-7))*x1^(9/2)*x2^(7/2)*x3^(7/2) + (q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*q - 6*1 - 2*q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + q^(-8))*x1^(9/2)*x2^(7/2)*x3^(9/2) + (q^(9) + 2*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 2*q^(-8) + q^(-9))*x1^(9/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(9/2)*x3^(5/2) + (q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*q - 6*1 - 2*q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + q^(-8))*x1^(9/2)*x2^(9/2)*x3^(7/2) + (-q^(10) - q^(9) + q^(8) + 2*q^(7) + 3*q^(6) + 3*q^(5) + q^(4) - 3*q^(3) - q - 6*1 - q^(-1) - 3*q^(-3) + q^(-4) + 3*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - q^(-10))*x1^(9/2)*x2^(9/2)*x3^(9/2) + (-q^(11) - 2*q^(10) - q^(9) + q^(8) + 2*q^(7) + 4*q^(6) + 3*q^(5) - 3*q^(3) - 4*1 - 3*q^(-3) + 3*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - 2*q^(-10) - q^(-11))*x1^(9/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(11/2)*x3^(5/2) + (q^(9) + 2*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 2*q^(-8) + q^(-9))*x1^(9/2)*x2^(11/2)*x3^(7/2) + (-q^(11) - 2*q^(10) - q^(9) + q^(8) + 2*q^(7) + 4*q^(6) + 3*q^(5) - 3*q^(3) - 4*1 - 3*q^(-3) + 3*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - 2*q^(-10) - q^(-11))*x1^(9/2)*x2^(11/2)*x3^(9/2) + (-q^(17) - q^(16) - 2*q^(15) + q^(13) + 3*q^(12) + 2*q^(11) + 2*q^(9) + 3*q^(8) + 4*q^(7) + 6*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - 5*q^(2) - 6*q - 11*1 - 6*q^(-1) - 5*q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 6*q^(-6) + 4*q^(-7) + 3*q^(-8) + 2*q^(-9) + 2*q^(-11) + 3*q^(-12) + q^(-13) - 2*q^(-15) - q^(-16) - q^(-17))*x1^(9/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(7/2)*x3^(5/2) + (q^(8) + q^(7) + q^(6) + q^(5) + q^(4) - q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6) + q^(-7) + q^(-8))*x1^(11/2)*x2^(7/2)*x3^(7/2) + (q^(9) + 2*q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + 2*q^(-8) + q^(-9))*x1^(11/2)*x2^(7/2)*x3^(9/2) + (q^(10) + 2*q^(9) + 3*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 4*q^(2) - 4*q - 8*1 - 4*q^(-1) - 4*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 3*q^(-8) + 2*q^(-9) + q^(-10))*x1^(11/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(9/2)*x3^(5/2) + (q^(9) + 2*q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + 2*q^(-8) + q^(-9))*x1^(11/2)*x2^(9/2)*x3^(7/2) + (-q^(11) - q^(10) + q^(9) + 2*q^(8) + q^(7) + 3*q^(6) + 3*q^(5) + q^(4) - 2*q^(3) - q^(2) - 2*q - 6*1 - 2*q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + 3*q^(-5) + 3*q^(-6) + q^(-7) + 2*q^(-8) + q^(-9) - q^(-10) - q^(-11))*x1^(11/2)*x2^(9/2)*x3^(9/2) + (-q^(12) - 2*q^(11) - q^(10) + q^(9) + q^(8) + q^(7) + 4*q^(6) + 3*q^(5) - 2*q^(3) + q^(2) - q - 6*1 - q^(-1) + q^(-2) - 2*q^(-3) + 3*q^(-5) + 4*q^(-6) + q^(-7) + q^(-8) + q^(-9) - q^(-10) - 2*q^(-11) - q^(-12))*x1^(11/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(11/2)*x3^(5/2) + (q^(10) + 2*q^(9) + 3*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 4*q^(2) - 4*q - 8*1 - 4*q^(-1) - 4*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 3*q^(-8) + 2*q^(-9) + q^(-10))*x1^(11/2)*x2^(11/2)*x3^(7/2) + (-q^(12) - 2*q^(11) - q^(10) + q^(9) + q^(8) + q^(7) + 4*q^(6) + 3*q^(5) - 2*q^(3) + q^(2) - q - 6*1 - q^(-1) + q^(-2) - 2*q^(-3) + 3*q^(-5) + 4*q^(-6) + q^(-7) + q^(-8) + q^(-9) - q^(-10) - 2*q^(-11) - q^(-12))*x1^(11/2)*x2^(11/2)*x3^(9/2) + (-q^(19) - q^(18) - 2*q^(17) - 2*q^(16) - q^(15) + q^(14) + 2*q^(13) + 2*q^(12) + 2*q^(11) + 5*q^(10) + 7*q^(9) + 5*q^(8) + 6*q^(7) + 9*q^(6) + 3*q^(5) - 4*q^(4) - 7*q^(3) - 5*q^(2) - 10*q - 21*1 - 10*q^(-1) - 5*q^(-2) - 7*q^(-3) - 4*q^(-4) + 3*q^(-5) + 9*q^(-6) + 6*q^(-7) + 5*q^(-8) + 7*q^(-9) + 5*q^(-10) + 2*q^(-11) + 2*q^(-12) + 2*q^(-13) + q^(-14) - q^(-15) - 2*q^(-16) - 2*q^(-17) - q^(-18) - q^(-19))*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^(0) 
{"0": [1, -1, 1, -1], "1": [-1, 1, -1, 1, -1, 1, -1, 1], "2": [1, -1, 1, -1, 1, -1, 1, -1]}
 
(-1)*x1^(1/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(1/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(1/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(1/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(1/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(7/2)*x3^(5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(7/2)*x3^(7/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(7/2)*x3^(9/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(9/2)*x3^(5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(9/2)*x3^(7/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(1/2)*x2^(9/2)*x3^(9/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(1/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(1/2)*x2^(11/2)*x3^(5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(1/2)*x2^(11/2)*x3^(7/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(1/2)*x2^(11/2)*x3^(9/2) + (-q^(10) + q^(6) - q^(5) - q^(3) + q^(2) + q - 3*1 + q^(-1) + q^(-2) - q^(-3) - q^(-5) + q^(-6) - q^(-10))*x1^(1/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(3/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(7/2)*x3^(5/2) + (q^(4) - q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - q^(-3) + q^(-4))*x1^(3/2)*x2^(7/2)*x3^(7/2) + (q^(5) + q^(4) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + q^(-5))*x1^(3/2)*x2^(7/2)*x3^(9/2) + (q^(6) + q^(5) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-5) + q^(-6))*x1^(3/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(9/2)*x3^(5/2) + (q^(5) + q^(4) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + q^(-5))*x1^(3/2)*x2^(9/2)*x3^(7/2) + (-q^(7) + q^(6) + 3*q^(5) + q^(4) - 4*q^(3) + 2*q - 2*1 + 2*q^(-1) - 4*q^(-3) + q^(-4) + 3*q^(-5) + q^(-6) - q^(-7))*x1^(3/2)*x2^(9/2)*x3^(9/2) + (-q^(8) - q^(7) + 3*q^(6) + 3*q^(5) - q^(4) - 4*q^(3) + q^(2) + 2*q - 2*1 + 2*q^(-1) + q^(-2) - 4*q^(-3) - q^(-4) + 3*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(3/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(3/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(3/2)*x2^(11/2)*x3^(5/2) + (q^(6) + q^(5) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-5) + q^(-6))*x1^(3/2)*x2^(11/2)*x3^(7/2) + (-q^(8) - q^(7) + 3*q^(6) + 3*q^(5) - q^(4) - 4*q^(3) + q^(2) + 2*q - 2*1 + 2*q^(-1) + q^(-2) - 4*q^(-3) - q^(-4) + 3*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(3/2)*x2^(11/2)*x3^(9/2) + (q^(11) - q^(9) - 3*q^(8) - q^(7) + 6*q^(6) + 2*q^(5) - 4*q^(4) - 4*q^(3) + 3*q^(2) + 2*q - 5*1 + 2*q^(-1) + 3*q^(-2) - 4*q^(-3) - 4*q^(-4) + 2*q^(-5) + 6*q^(-6) - q^(-7) - 3*q^(-8) - q^(-9) + q^(-11))*x1^(3/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(5/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(7/2)*x3^(5/2) + (q^(5) + q^(4) - q^(3) - q^(2) - 2*1 - q^(-2) - q^(-3) + q^(-4) + q^(-5))*x1^(5/2)*x2^(7/2)*x3^(7/2) + (q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + q^(-6))*x1^(5/2)*x2^(7/2)*x3^(9/2) + (q^(7) + 2*q^(6) + 2*q^(5) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(5/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(9/2)*x3^(5/2) + (q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + q^(-6))*x1^(5/2)*x2^(9/2)*x3^(7/2) + (-q^(8) - q^(7) + 3*q^(6) + 4*q^(5) + q^(4) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + q^(-4) + 4*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(5/2)*x2^(9/2)*x3^(9/2) + (-q^(9) - 2*q^(8) + 5*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - q^(2) + 2*q + 2*q^(-1) - q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 5*q^(-6) - 2*q^(-8) - q^(-9))*x1^(5/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(5/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(5/2)*x2^(11/2)*x3^(5/2) + (q^(7) + 2*q^(6) + 2*q^(5) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(5/2)*x2^(11/2)*x3^(7/2) + (-q^(9) - 2*q^(8) + 5*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - q^(2) + 2*q + 2*q^(-1) - q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 5*q^(-6) - 2*q^(-8) - q^(-9))*x1^(5/2)*x2^(11/2)*x3^(9/2) + (-q^(13) + q^(12) + 2*q^(11) + q^(10) - 2*q^(9) - 5*q^(8) + q^(7) + 7*q^(6) + 3*q^(5) - 3*q^(4) - 5*q^(3) + q^(2) + q - 5*1 + q^(-1) + q^(-2) - 5*q^(-3) - 3*q^(-4) + 3*q^(-5) + 7*q^(-6) + q^(-7) - 5*q^(-8) - 2*q^(-9) + q^(-10) + 2*q^(-11) + q^(-12) - q^(-13))*x1^(5/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(7/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(7/2)*x3^(5/2) + (q^(6) + q^(5) + q^(4) - q^(3) - q^(2) - 4*1 - q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6))*x1^(7/2)*x2^(7/2)*x3^(7/2) + (q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(7/2)*x2^(7/2)*x3^(9/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - q - 4*1 - q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8))*x1^(7/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(9/2)*x3^(5/2) + (q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(7/2)*x2^(9/2)*x3^(7/2) + (-q^(9) - q^(8) + q^(7) + 4*q^(6) + 3*q^(5) + q^(4) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + q^(-4) + 3*q^(-5) + 4*q^(-6) + q^(-7) - q^(-8) - q^(-9))*x1^(7/2)*x2^(9/2)*x3^(9/2) + (-q^(10) - 2*q^(9) - q^(8) + 2*q^(7) + 5*q^(6) + 3*q^(5) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + 3*q^(-5) + 5*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) - q^(-10))*x1^(7/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(7/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(7/2)*x2^(11/2)*x3^(5/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - q - 4*1 - q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8))*x1^(7/2)*x2^(11/2)*x3^(7/2) + (-q^(10) - 2*q^(9) - q^(8) + 2*q^(7) + 5*q^(6) + 3*q^(5) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + 3*q^(-5) + 5*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) - q^(-10))*x1^(7/2)*x2^(11/2)*x3^(9/2) + (-q^(15) - q^(14) + 2*q^(12) + 3*q^(11) - 2*q^(9) - q^(8) + 2*q^(7) + 6*q^(6) + 3*q^(5) - 4*q^(3) - 4*q^(2) - 2*q - 5*1 - 2*q^(-1) - 4*q^(-2) - 4*q^(-3) + 3*q^(-5) + 6*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) + 3*q^(-11) + 2*q^(-12) - q^(-14) - q^(-15))*x1^(7/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(9/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(7/2)*x3^(5/2) + (q^(7) + q^(6) + q^(5) + q^(4) - q^(3) - q^(2) - q - 4*1 - q^(-1) - q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6) + q^(-7))*x1^(9/2)*x2^(7/2)*x3^(7/2) + (q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*q - 6*1 - 2*q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + q^(-8))*x1^(9/2)*x2^(7/2)*x3^(9/2) + (q^(9) + 2*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 2*q^(-8) + q^(-9))*x1^(9/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(9/2)*x3^(5/2) + (q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*q - 6*1 - 2*q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + q^(-8))*x1^(9/2)*x2^(9/2)*x3^(7/2) + (-q^(10) - q^(9) + q^(8) + 2*q^(7) + 3*q^(6) + 3*q^(5) + q^(4) - 3*q^(3) - q - 6*1 - q^(-1) - 3*q^(-3) + q^(-4) + 3*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - q^(-10))*x1^(9/2)*x2^(9/2)*x3^(9/2) + (-q^(11) - 2*q^(10) - q^(9) + q^(8) + 2*q^(7) + 4*q^(6) + 3*q^(5) - 3*q^(3) - 4*1 - 3*q^(-3) + 3*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - 2*q^(-10) - q^(-11))*x1^(9/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(9/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(9/2)*x2^(11/2)*x3^(5/2) + (q^(9) + 2*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 2*q^(-8) + q^(-9))*x1^(9/2)*x2^(11/2)*x3^(7/2) + (-q^(11) - 2*q^(10) - q^(9) + q^(8) + 2*q^(7) + 4*q^(6) + 3*q^(5) - 3*q^(3) - 4*1 - 3*q^(-3) + 3*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - 2*q^(-10) - q^(-11))*x1^(9/2)*x2^(11/2)*x3^(9/2) + (-q^(17) - q^(16) - 2*q^(15) + q^(13) + 3*q^(12) + 2*q^(11) + 2*q^(9) + 3*q^(8) + 4*q^(7) + 6*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - 5*q^(2) - 6*q - 11*1 - 6*q^(-1) - 5*q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 6*q^(-6) + 4*q^(-7) + 3*q^(-8) + 2*q^(-9) + 2*q^(-11) + 3*q^(-12) + q^(-13) - 2*q^(-15) - q^(-16) - q^(-17))*x1^(9/2)*x2^(11/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(3/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(5/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(7/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(9/2) + (-1)*x1^(11/2)*x2^(3/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(5/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(5/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(7/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(9/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(5/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(7/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(7/2)*x3^(5/2) + (q^(8) + q^(7) + q^(6) + q^(5) + q^(4) - q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6) + q^(-7) + q^(-8))*x1^(11/2)*x2^(7/2)*x3^(7/2) + (q^(9) + 2*q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + 2*q^(-8) + q^(-9))*x1^(11/2)*x2^(7/2)*x3^(9/2) + (q^(10) + 2*q^(9) + 3*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 4*q^(2) - 4*q - 8*1 - 4*q^(-1) - 4*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 3*q^(-8) + 2*q^(-9) + q^(-10))*x1^(11/2)*x2^(7/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(9/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(9/2)*x3^(5/2) + (q^(9) + 2*q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + 2*q^(-8) + q^(-9))*x1^(11/2)*x2^(9/2)*x3^(7/2) + (-q^(11) - q^(10) + q^(9) + 2*q^(8) + q^(7) + 3*q^(6) + 3*q^(5) + q^(4) - 2*q^(3) - q^(2) - 2*q - 6*1 - 2*q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + 3*q^(-5) + 3*q^(-6) + q^(-7) + 2*q^(-8) + q^(-9) - q^(-10) - q^(-11))*x1^(11/2)*x2^(9/2)*x3^(9/2) + (-q^(12) - 2*q^(11) - q^(10) + q^(9) + q^(8) + q^(7) + 4*q^(6) + 3*q^(5) - 2*q^(3) + q^(2) - q - 6*1 - q^(-1) + q^(-2) - 2*q^(-3) + 3*q^(-5) + 4*q^(-6) + q^(-7) + q^(-8) + q^(-9) - q^(-10) - 2*q^(-11) - q^(-12))*x1^(11/2)*x2^(9/2)*x3^(11/2) + (-1)*x1^(11/2)*x2^(11/2)*x3^(3/2) + (q - 1 + q^(-1))*x1^(11/2)*x2^(11/2)*x3^(5/2) + (q^(10) + 2*q^(9) + 3*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 4*q^(2) - 4*q - 8*1 - 4*q^(-1) - 4*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 3*q^(-8) + 2*q^(-9) + q^(-10))*x1^(11/2)*x2^(11/2)*x3^(7/2) + (-q^(12) - 2*q^(11) - q^(10) + q^(9) + q^(8) + q^(7) + 4*q^(6) + 3*q^(5) - 2*q^(3) + q^(2) - q - 6*1 - q^(-1) + q^(-2) - 2*q^(-3) + 3*q^(-5) + 4*q^(-6) + q^(-7) + q^(-8) + q^(-9) - q^(-10) - 2*q^(-11) - q^(-12))*x1^(11/2)*x2^(11/2)*x3^(9/2) + (-q^(19) - q^(18) - 2*q^(17) - 2*q^(16) - q^(15) + q^(14) + 2*q^(13) + 2*q^(12) + 2*q^(11) + 5*q^(10) + 7*q^(9) + 5*q^(8) + 6*q^(7) + 9*q^(6) + 3*q^(5) - 4*q^(4) - 7*q^(3) - 5*q^(2) - 10*q - 21*1 - 10*q^(-1) - 5*q^(-2) - 7*q^(-3) - 4*q^(-4) + 3*q^(-5) + 9*q^(-6) + 6*q^(-7) + 5*q^(-8) + 7*q^(-9) + 5*q^(-10) + 2*q^(-11) + 2*q^(-12) + 2*q^(-13) + q^(-14) - q^(-15) - 2*q^(-16) - 2*q^(-17) - q^(-18) - q^(-19))*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^(0) 
(-1)*x1^(-1/2)*x2^(-3/2)*x3^(-3/2) + (-1)*x1^(-1/2)*x2^(-3/2)*x3^(-5/2) + (-1)*x1^(-1/2)*x2^(-3/2)*x3^(-7/2) + (-1)*x1^(-1/2)*x2^(-3/2)*x3^(-9/2) + (-1)*x1^(-1/2)*x2^(-3/2)*x3^(-11/2) + (-1)*x1^(-1/2)*x2^(-5/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-1/2)*x2^(-5/2)*x3^(-5/2) + (q - 1 + q^(-1))*x1^(-1/2)*x2^(-5/2)*x3^(-7/2) + (q - 1 + q^(-1))*x1^(-1/2)*x2^(-5/2)*x3^(-9/2) + (q - 1 + q^(-1))*x1^(-1/2)*x2^(-5/2)*x3^(-11/2) + (-1)*x1^(-1/2)*x2^(-7/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-1/2)*x2^(-7/2)*x3^(-5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(-1/2)*x2^(-7/2)*x3^(-7/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(-1/2)*x2^(-7/2)*x3^(-9/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(-1/2)*x2^(-7/2)*x3^(-11/2) + (-1)*x1^(-1/2)*x2^(-9/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-1/2)*x2^(-9/2)*x3^(-5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(-1/2)*x2^(-9/2)*x3^(-7/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(-1/2)*x2^(-9/2)*x3^(-9/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(-1/2)*x2^(-9/2)*x3^(-11/2) + (-1)*x1^(-1/2)*x2^(-11/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-1/2)*x2^(-11/2)*x3^(-5/2) + (-q^(3) + q - 2*1 + q^(-1) - q^(-3))*x1^(-1/2)*x2^(-11/2)*x3^(-7/2) + (q^(6) - q^(3) + q^(2) + q - 2*1 + q^(-1) + q^(-2) - q^(-3) + q^(-6))*x1^(-1/2)*x2^(-11/2)*x3^(-9/2) + (-q^(10) + q^(6) - q^(5) - q^(3) + q^(2) + q - 3*1 + q^(-1) + q^(-2) - q^(-3) - q^(-5) + q^(-6) - q^(-10))*x1^(-1/2)*x2^(-11/2)*x3^(-11/2) + (-1)*x1^(-3/2)*x2^(-3/2)*x3^(-3/2) + (-1)*x1^(-3/2)*x2^(-3/2)*x3^(-5/2) + (-1)*x1^(-3/2)*x2^(-3/2)*x3^(-7/2) + (-1)*x1^(-3/2)*x2^(-3/2)*x3^(-9/2) + (-1)*x1^(-3/2)*x2^(-3/2)*x3^(-11/2) + (-1)*x1^(-3/2)*x2^(-5/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-3/2)*x2^(-5/2)*x3^(-5/2) + (q - 1 + q^(-1))*x1^(-3/2)*x2^(-5/2)*x3^(-7/2) + (q - 1 + q^(-1))*x1^(-3/2)*x2^(-5/2)*x3^(-9/2) + (q - 1 + q^(-1))*x1^(-3/2)*x2^(-5/2)*x3^(-11/2) + (-1)*x1^(-3/2)*x2^(-7/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-3/2)*x2^(-7/2)*x3^(-5/2) + (q^(4) - q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - q^(-3) + q^(-4))*x1^(-3/2)*x2^(-7/2)*x3^(-7/2) + (q^(5) + q^(4) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + q^(-5))*x1^(-3/2)*x2^(-7/2)*x3^(-9/2) + (q^(6) + q^(5) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-5) + q^(-6))*x1^(-3/2)*x2^(-7/2)*x3^(-11/2) + (-1)*x1^(-3/2)*x2^(-9/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-3/2)*x2^(-9/2)*x3^(-5/2) + (q^(5) + q^(4) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + q^(-5))*x1^(-3/2)*x2^(-9/2)*x3^(-7/2) + (-q^(7) + q^(6) + 3*q^(5) + q^(4) - 4*q^(3) + 2*q - 2*1 + 2*q^(-1) - 4*q^(-3) + q^(-4) + 3*q^(-5) + q^(-6) - q^(-7))*x1^(-3/2)*x2^(-9/2)*x3^(-9/2) + (-q^(8) - q^(7) + 3*q^(6) + 3*q^(5) - q^(4) - 4*q^(3) + q^(2) + 2*q - 2*1 + 2*q^(-1) + q^(-2) - 4*q^(-3) - q^(-4) + 3*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(-3/2)*x2^(-9/2)*x3^(-11/2) + (-1)*x1^(-3/2)*x2^(-11/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-3/2)*x2^(-11/2)*x3^(-5/2) + (q^(6) + q^(5) - 2*q^(3) - q^(2) + q - 2*1 + q^(-1) - q^(-2) - 2*q^(-3) + q^(-5) + q^(-6))*x1^(-3/2)*x2^(-11/2)*x3^(-7/2) + (-q^(8) - q^(7) + 3*q^(6) + 3*q^(5) - q^(4) - 4*q^(3) + q^(2) + 2*q - 2*1 + 2*q^(-1) + q^(-2) - 4*q^(-3) - q^(-4) + 3*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(-3/2)*x2^(-11/2)*x3^(-9/2) + (q^(11) - q^(9) - 3*q^(8) - q^(7) + 6*q^(6) + 2*q^(5) - 4*q^(4) - 4*q^(3) + 3*q^(2) + 2*q - 5*1 + 2*q^(-1) + 3*q^(-2) - 4*q^(-3) - 4*q^(-4) + 2*q^(-5) + 6*q^(-6) - q^(-7) - 3*q^(-8) - q^(-9) + q^(-11))*x1^(-3/2)*x2^(-11/2)*x3^(-11/2) + (-1)*x1^(-5/2)*x2^(-3/2)*x3^(-3/2) + (-1)*x1^(-5/2)*x2^(-3/2)*x3^(-5/2) + (-1)*x1^(-5/2)*x2^(-3/2)*x3^(-7/2) + (-1)*x1^(-5/2)*x2^(-3/2)*x3^(-9/2) + (-1)*x1^(-5/2)*x2^(-3/2)*x3^(-11/2) + (-1)*x1^(-5/2)*x2^(-5/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-5/2)*x2^(-5/2)*x3^(-5/2) + (q - 1 + q^(-1))*x1^(-5/2)*x2^(-5/2)*x3^(-7/2) + (q - 1 + q^(-1))*x1^(-5/2)*x2^(-5/2)*x3^(-9/2) + (q - 1 + q^(-1))*x1^(-5/2)*x2^(-5/2)*x3^(-11/2) + (-1)*x1^(-5/2)*x2^(-7/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-5/2)*x2^(-7/2)*x3^(-5/2) + (q^(5) + q^(4) - q^(3) - q^(2) - 2*1 - q^(-2) - q^(-3) + q^(-4) + q^(-5))*x1^(-5/2)*x2^(-7/2)*x3^(-7/2) + (q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + q^(-6))*x1^(-5/2)*x2^(-7/2)*x3^(-9/2) + (q^(7) + 2*q^(6) + 2*q^(5) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(-5/2)*x2^(-7/2)*x3^(-11/2) + (-1)*x1^(-5/2)*x2^(-9/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-5/2)*x2^(-9/2)*x3^(-5/2) + (q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + q^(-6))*x1^(-5/2)*x2^(-9/2)*x3^(-7/2) + (-q^(8) - q^(7) + 3*q^(6) + 4*q^(5) + q^(4) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + q^(-4) + 4*q^(-5) + 3*q^(-6) - q^(-7) - q^(-8))*x1^(-5/2)*x2^(-9/2)*x3^(-9/2) + (-q^(9) - 2*q^(8) + 5*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - q^(2) + 2*q + 2*q^(-1) - q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 5*q^(-6) - 2*q^(-8) - q^(-9))*x1^(-5/2)*x2^(-9/2)*x3^(-11/2) + (-1)*x1^(-5/2)*x2^(-11/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-5/2)*x2^(-11/2)*x3^(-5/2) + (q^(7) + 2*q^(6) + 2*q^(5) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(-5/2)*x2^(-11/2)*x3^(-7/2) + (-q^(9) - 2*q^(8) + 5*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - q^(2) + 2*q + 2*q^(-1) - q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 5*q^(-6) - 2*q^(-8) - q^(-9))*x1^(-5/2)*x2^(-11/2)*x3^(-9/2) + (-q^(13) + q^(12) + 2*q^(11) + q^(10) - 2*q^(9) - 5*q^(8) + q^(7) + 7*q^(6) + 3*q^(5) - 3*q^(4) - 5*q^(3) + q^(2) + q - 5*1 + q^(-1) + q^(-2) - 5*q^(-3) - 3*q^(-4) + 3*q^(-5) + 7*q^(-6) + q^(-7) - 5*q^(-8) - 2*q^(-9) + q^(-10) + 2*q^(-11) + q^(-12) - q^(-13))*x1^(-5/2)*x2^(-11/2)*x3^(-11/2) + (-1)*x1^(-7/2)*x2^(-3/2)*x3^(-3/2) + (-1)*x1^(-7/2)*x2^(-3/2)*x3^(-5/2) + (-1)*x1^(-7/2)*x2^(-3/2)*x3^(-7/2) + (-1)*x1^(-7/2)*x2^(-3/2)*x3^(-9/2) + (-1)*x1^(-7/2)*x2^(-3/2)*x3^(-11/2) + (-1)*x1^(-7/2)*x2^(-5/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-7/2)*x2^(-5/2)*x3^(-5/2) + (q - 1 + q^(-1))*x1^(-7/2)*x2^(-5/2)*x3^(-7/2) + (q - 1 + q^(-1))*x1^(-7/2)*x2^(-5/2)*x3^(-9/2) + (q - 1 + q^(-1))*x1^(-7/2)*x2^(-5/2)*x3^(-11/2) + (-1)*x1^(-7/2)*x2^(-7/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-7/2)*x2^(-7/2)*x3^(-5/2) + (q^(6) + q^(5) + q^(4) - q^(3) - q^(2) - 4*1 - q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6))*x1^(-7/2)*x2^(-7/2)*x3^(-7/2) + (q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(-7/2)*x2^(-7/2)*x3^(-9/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - q - 4*1 - q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8))*x1^(-7/2)*x2^(-7/2)*x3^(-11/2) + (-1)*x1^(-7/2)*x2^(-9/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-7/2)*x2^(-9/2)*x3^(-5/2) + (q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + q^(-7))*x1^(-7/2)*x2^(-9/2)*x3^(-7/2) + (-q^(9) - q^(8) + q^(7) + 4*q^(6) + 3*q^(5) + q^(4) - 3*q^(3) - 2*q^(2) - 2*1 - 2*q^(-2) - 3*q^(-3) + q^(-4) + 3*q^(-5) + 4*q^(-6) + q^(-7) - q^(-8) - q^(-9))*x1^(-7/2)*x2^(-9/2)*x3^(-9/2) + (-q^(10) - 2*q^(9) - q^(8) + 2*q^(7) + 5*q^(6) + 3*q^(5) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + 3*q^(-5) + 5*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) - q^(-10))*x1^(-7/2)*x2^(-9/2)*x3^(-11/2) + (-1)*x1^(-7/2)*x2^(-11/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-7/2)*x2^(-11/2)*x3^(-5/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - q - 4*1 - q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8))*x1^(-7/2)*x2^(-11/2)*x3^(-7/2) + (-q^(10) - 2*q^(9) - q^(8) + 2*q^(7) + 5*q^(6) + 3*q^(5) - 4*q^(3) - 2*q^(2) + q + q^(-1) - 2*q^(-2) - 4*q^(-3) + 3*q^(-5) + 5*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) - q^(-10))*x1^(-7/2)*x2^(-11/2)*x3^(-9/2) + (-q^(15) - q^(14) + 2*q^(12) + 3*q^(11) - 2*q^(9) - q^(8) + 2*q^(7) + 6*q^(6) + 3*q^(5) - 4*q^(3) - 4*q^(2) - 2*q - 5*1 - 2*q^(-1) - 4*q^(-2) - 4*q^(-3) + 3*q^(-5) + 6*q^(-6) + 2*q^(-7) - q^(-8) - 2*q^(-9) + 3*q^(-11) + 2*q^(-12) - q^(-14) - q^(-15))*x1^(-7/2)*x2^(-11/2)*x3^(-11/2) + (-1)*x1^(-9/2)*x2^(-3/2)*x3^(-3/2) + (-1)*x1^(-9/2)*x2^(-3/2)*x3^(-5/2) + (-1)*x1^(-9/2)*x2^(-3/2)*x3^(-7/2) + (-1)*x1^(-9/2)*x2^(-3/2)*x3^(-9/2) + (-1)*x1^(-9/2)*x2^(-3/2)*x3^(-11/2) + (-1)*x1^(-9/2)*x2^(-5/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-9/2)*x2^(-5/2)*x3^(-5/2) + (q - 1 + q^(-1))*x1^(-9/2)*x2^(-5/2)*x3^(-7/2) + (q - 1 + q^(-1))*x1^(-9/2)*x2^(-5/2)*x3^(-9/2) + (q - 1 + q^(-1))*x1^(-9/2)*x2^(-5/2)*x3^(-11/2) + (-1)*x1^(-9/2)*x2^(-7/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-9/2)*x2^(-7/2)*x3^(-5/2) + (q^(7) + q^(6) + q^(5) + q^(4) - q^(3) - q^(2) - q - 4*1 - q^(-1) - q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6) + q^(-7))*x1^(-9/2)*x2^(-7/2)*x3^(-7/2) + (q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*q - 6*1 - 2*q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + q^(-8))*x1^(-9/2)*x2^(-7/2)*x3^(-9/2) + (q^(9) + 2*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 2*q^(-8) + q^(-9))*x1^(-9/2)*x2^(-7/2)*x3^(-11/2) + (-1)*x1^(-9/2)*x2^(-9/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-9/2)*x2^(-9/2)*x3^(-5/2) + (q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 2*q^(2) - 2*q - 6*1 - 2*q^(-1) - 2*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + q^(-8))*x1^(-9/2)*x2^(-9/2)*x3^(-7/2) + (-q^(10) - q^(9) + q^(8) + 2*q^(7) + 3*q^(6) + 3*q^(5) + q^(4) - 3*q^(3) - q - 6*1 - q^(-1) - 3*q^(-3) + q^(-4) + 3*q^(-5) + 3*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - q^(-10))*x1^(-9/2)*x2^(-9/2)*x3^(-9/2) + (-q^(11) - 2*q^(10) - q^(9) + q^(8) + 2*q^(7) + 4*q^(6) + 3*q^(5) - 3*q^(3) - 4*1 - 3*q^(-3) + 3*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - 2*q^(-10) - q^(-11))*x1^(-9/2)*x2^(-9/2)*x3^(-11/2) + (-1)*x1^(-9/2)*x2^(-11/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-9/2)*x2^(-11/2)*x3^(-5/2) + (q^(9) + 2*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 2*q^(-8) + q^(-9))*x1^(-9/2)*x2^(-11/2)*x3^(-7/2) + (-q^(11) - 2*q^(10) - q^(9) + q^(8) + 2*q^(7) + 4*q^(6) + 3*q^(5) - 3*q^(3) - 4*1 - 3*q^(-3) + 3*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8) - q^(-9) - 2*q^(-10) - q^(-11))*x1^(-9/2)*x2^(-11/2)*x3^(-9/2) + (-q^(17) - q^(16) - 2*q^(15) + q^(13) + 3*q^(12) + 2*q^(11) + 2*q^(9) + 3*q^(8) + 4*q^(7) + 6*q^(6) + 4*q^(5) - q^(4) - 5*q^(3) - 5*q^(2) - 6*q - 11*1 - 6*q^(-1) - 5*q^(-2) - 5*q^(-3) - q^(-4) + 4*q^(-5) + 6*q^(-6) + 4*q^(-7) + 3*q^(-8) + 2*q^(-9) + 2*q^(-11) + 3*q^(-12) + q^(-13) - 2*q^(-15) - q^(-16) - q^(-17))*x1^(-9/2)*x2^(-11/2)*x3^(-11/2) + (-1)*x1^(-11/2)*x2^(-3/2)*x3^(-3/2) + (-1)*x1^(-11/2)*x2^(-3/2)*x3^(-5/2) + (-1)*x1^(-11/2)*x2^(-3/2)*x3^(-7/2) + (-1)*x1^(-11/2)*x2^(-3/2)*x3^(-9/2) + (-1)*x1^(-11/2)*x2^(-3/2)*x3^(-11/2) + (-1)*x1^(-11/2)*x2^(-5/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-11/2)*x2^(-5/2)*x3^(-5/2) + (q - 1 + q^(-1))*x1^(-11/2)*x2^(-5/2)*x3^(-7/2) + (q - 1 + q^(-1))*x1^(-11/2)*x2^(-5/2)*x3^(-9/2) + (q - 1 + q^(-1))*x1^(-11/2)*x2^(-5/2)*x3^(-11/2) + (-1)*x1^(-11/2)*x2^(-7/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-11/2)*x2^(-7/2)*x3^(-5/2) + (q^(8) + q^(7) + q^(6) + q^(5) + q^(4) - q^(3) - 2*q^(2) - q - 4*1 - q^(-1) - 2*q^(-2) - q^(-3) + q^(-4) + q^(-5) + q^(-6) + q^(-7) + q^(-8))*x1^(-11/2)*x2^(-7/2)*x3^(-7/2) + (q^(9) + 2*q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + 2*q^(-8) + q^(-9))*x1^(-11/2)*x2^(-7/2)*x3^(-9/2) + (q^(10) + 2*q^(9) + 3*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 4*q^(2) - 4*q - 8*1 - 4*q^(-1) - 4*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 3*q^(-8) + 2*q^(-9) + q^(-10))*x1^(-11/2)*x2^(-7/2)*x3^(-11/2) + (-1)*x1^(-11/2)*x2^(-9/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-11/2)*x2^(-9/2)*x3^(-5/2) + (q^(9) + 2*q^(8) + 2*q^(7) + 2*q^(6) + 2*q^(5) + q^(4) - 2*q^(3) - 3*q^(2) - 3*q - 6*1 - 3*q^(-1) - 3*q^(-2) - 2*q^(-3) + q^(-4) + 2*q^(-5) + 2*q^(-6) + 2*q^(-7) + 2*q^(-8) + q^(-9))*x1^(-11/2)*x2^(-9/2)*x3^(-7/2) + (-q^(11) - q^(10) + q^(9) + 2*q^(8) + q^(7) + 3*q^(6) + 3*q^(5) + q^(4) - 2*q^(3) - q^(2) - 2*q - 6*1 - 2*q^(-1) - q^(-2) - 2*q^(-3) + q^(-4) + 3*q^(-5) + 3*q^(-6) + q^(-7) + 2*q^(-8) + q^(-9) - q^(-10) - q^(-11))*x1^(-11/2)*x2^(-9/2)*x3^(-9/2) + (-q^(12) - 2*q^(11) - q^(10) + q^(9) + q^(8) + q^(7) + 4*q^(6) + 3*q^(5) - 2*q^(3) + q^(2) - q - 6*1 - q^(-1) + q^(-2) - 2*q^(-3) + 3*q^(-5) + 4*q^(-6) + q^(-7) + q^(-8) + q^(-9) - q^(-10) - 2*q^(-11) - q^(-12))*x1^(-11/2)*x2^(-9/2)*x3^(-11/2) + (-1)*x1^(-11/2)*x2^(-11/2)*x3^(-3/2) + (q - 1 + q^(-1))*x1^(-11/2)*x2^(-11/2)*x3^(-5/2) + (q^(10) + 2*q^(9) + 3*q^(8) + 3*q^(7) + 3*q^(6) + 2*q^(5) - 3*q^(3) - 4*q^(2) - 4*q - 8*1 - 4*q^(-1) - 4*q^(-2) - 3*q^(-3) + 2*q^(-5) + 3*q^(-6) + 3*q^(-7) + 3*q^(-8) + 2*q^(-9) + q^(-10))*x1^(-11/2)*x2^(-11/2)*x3^(-7/2) + (-q^(12) - 2*q^(11) - q^(10) + q^(9) + q^(8) + q^(7) + 4*q^(6) + 3*q^(5) - 2*q^(3) + q^(2) - q - 6*1 - q^(-1) + q^(-2) - 2*q^(-3) + 3*q^(-5) + 4*q^(-6) + q^(-7) + q^(-8) + q^(-9) - q^(-10) - 2*q^(-11) - q^(-12))*x1^(-11/2)*x2^(-11/2)*x3^(-9/2) + (-q^(19) - q^(18) - 2*q^(17) - 2*q^(16) - q^(15) + q^(14) + 2*q^(13) + 2*q^(12) + 2*q^(11) + 5*q^(10) + 7*q^(9) + 5*q^(8) + 6*q^(7) + 9*q^(6) + 3*q^(5) - 4*q^(4) - 7*q^(3) - 5*q^(2) - 10*q - 21*1 - 10*q^(-1) - 5*q^(-2) - 7*q^(-3) - 4*q^(-4) + 3*q^(-5) + 9*q^(-6) + 6*q^(-7) + 5*q^(-8) + 7*q^(-9) + 5*q^(-10) + 2*q^(-11) + 2*q^(-12) + 2*q^(-13) + q^(-14) - q^(-15) - 2*q^(-16) - 2*q^(-17) - q^(-18) - q^(-19))*x1^(-11/2)*x2^(-11/2)*x3^(-11/2)

Braid

Braid word Components Crossings Strands
[-1, 2, -1, -1, -1, 2, -1, 2, 2, 2] 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^(3/2) + 3*A1^(1/2)*A2^(1/2)*A3^(1/2) - 2*A1^(1/2)*A2^(1/2)*A3^(-1/2) - 2*A1^(1/2)*A2^(-1/2)*A3^(1/2) + 3*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^(-1/2) + A1^(1/2)*A2^(-3/2)*A3^(-3/2) - 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^(3/2) - 3*A1^(-1/2)*A2^(1/2)*A3^(1/2) + 2*A1^(-1/2)*A2^(1/2)*A3^(-1/2) + 2*A1^(-1/2)*A2^(-1/2)*A3^(1/2) - 3*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^(-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, 1, 3) yes
(1, 3, 1) yes
(-1, 3, 1) yes
(-1, 1, 3) yes
(-1, 3, 3) yes
(1, -1, -3) yes
(-1, -1, -3) yes
(1, 3, 3) yes
(1, -3, -1) yes
(-1, -3, -1) yes
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HFL polytope

Poincaré polynomial
m^(-6)*A1^(-1)*A2^(-2)*A3^(-2) + 2*m^(-5)*A1^(-1)*A2^(-2)*A3^(-1) + 2*m^(-5)*A1^(-1)*A2^(-1)*A3^(-2) + 2*m^(-5)*A2^(-2)*A3^(-2) + m^(-4)*A1^(-1)*A2^(-2) + 6*m^(-4)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-4)*A1^(-1)*A3^(-2) + 4*m^(-4)*A2^(-2)*A3^(-1) + 4*m^(-4)*A2^(-1)*A3^(-2) + m^(-4)*A1*A2^(-2)*A3^(-2) + 6*m^(-3)*A1^(-1)*A2^(-1) + 6*m^(-3)*A1^(-1)*A3^(-1) + 2*m^(-3)*A2^(-2) + 12*m^(-3)*A2^(-1)*A3^(-1) + 2*m^(-3)*A3^(-2) + 2*m^(-3)*A1*A2^(-2)*A3^(-1) + 2*m^(-3)*A1*A2^(-1)*A3^(-2) + 2*m^(-2)*A1^(-1)*A2^(-1)*A3 + 10*m^(-2)*A1^(-1) + 2*m^(-2)*A1^(-1)*A2*A3^(-1) + 12*m^(-2)*A2^(-1) + 12*m^(-2)*A3^(-1) + m^(-2)*A1*A2^(-2) + 6*m^(-2)*A1*A2^(-1)*A3^(-1) + m^(-2)*A1*A3^(-2) + 6*m^(-1)*A1^(-1)*A3 + 6*m^(-1)*A1^(-1)*A2 + 4*m^(-1)*A2^(-1)*A3 + 20*m^(-1) + 4*m^(-1)*A2*A3^(-1) + 6*m^(-1)*A1*A2^(-1) + 6*m^(-1)*A1*A3^(-1) + A1^(-1)*A3^2 + 6*A1^(-1)*A2*A3 + A1^(-1)*A2^2 + 12*A3 + 12*A2 + 2*A1*A2^(-1)*A3 + 10*A1 + 2*A1*A2*A3^(-1) + 2*m*A1^(-1)*A2*A3^2 + 2*m*A1^(-1)*A2^2*A3 + 2*m*A3^2 + 12*m*A2*A3 + 2*m*A2^2 + 6*m*A1*A3 + 6*m*A1*A2 + m^2*A1^(-1)*A2^2*A3^2 + 4*m^2*A2*A3^2 + 4*m^2*A2^2*A3 + m^2*A1*A3^2 + 6*m^2*A1*A2*A3 + m^2*A1*A2^2 + 2*m^3*A2^2*A3^2 + 2*m^3*A1*A2*A3^2 + 2*m^3*A1*A2^2*A3 + m^4*A1*A2^2*A3^2
VertexMaslovRank
(-1, -2, -2)-61
(-1, -2, 0)-41
(-1, 0, -2)-41
(-1, 0, 2)01
(-1, 2, 0)01
(-1, 2, 2)21
(1, -2, -2)-41
(1, -2, 0)-21
(1, 0, -2)-21
(1, 0, 2)21
(1, 2, 0)21
(1, 2, 2)41
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Record

FL/HFL Links

orderOption(int) 2068
namestring L10a140{1;1}
statusstring success
slugstring L10a140_1_1_e6d3d4c2
result_filestring details/L10a140_1_1_e6d3d4c2.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 256
wall_secondsOption(float) 0.003224
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 57
vertex_countOption(int) 12
fibered_vertex_countOption(int) 12
polytope_statusstring computed
alexander_support_sizeOption(int) 20
alexander_vertex_countOption(int) 12
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a140_1_1_e6d3d4c2"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a140_1_1_e6d3d4c2