details/L10a161_0_0_eb0ceab4.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(-1, -1, -3/2) (1, 1, 1) x1^(1)x2^(1)x3^(3/2) q^(3) 
{"0": [-1, 1, -1, 1, -1, 1], "1": [1, -1, 1, -1, 1, -1, 1, -1], "2": [-1, 1, -1, 1, -1, 1]}
 
(-q^(3))*x1*x2*x3^(3/2) + (-q^(3))*x1*x2^(2)*x3^(3/2) + (-q^(3))*x1*x2^(3)*x3^(3/2) + (-q^(3))*x1*x2^(4)*x3^(3/2) + (-q^(3))*x1*x2^(5)*x3^(3/2) + (q^(4))*x1*x2^(2)*x3^(5/2) + (q^(4))*x1*x2^(3)*x3^(5/2) + (q^(4))*x1*x2^(4)*x3^(5/2) + (q^(4))*x1*x2^(5)*x3^(5/2) + (q^(7))*x1*x2^(4)*x3^(7/2) + (q^(8) + q^(7))*x1*x2^(5)*x3^(7/2) + (-q^(8))*x1*x2^(4)*x3^(9/2) + (-q^(10) - q^(9) - q^(8))*x1*x2^(5)*x3^(9/2) + (q^(11))*x1*x2^(5)*x3^(11/2) + (-q^(3))*x1^(2)*x2*x3^(3/2) + (-q^(3) - q^(2))*x1^(2)*x2^(2)*x3^(3/2) + (-q^(3) - q^(2) - q)*x1^(2)*x2^(3)*x3^(3/2) + (-q^(3) - q^(2) - q - 1)*x1^(2)*x2^(4)*x3^(3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(2)*x2^(5)*x3^(3/2) + (q^(4))*x1^(2)*x2*x3^(5/2) + (2*q^(4) + q^(3))*x1^(2)*x2^(2)*x3^(5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(2)*x2^(3)*x3^(5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(2)*x2^(4)*x3^(5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(2)*x2^(5)*x3^(5/2) + (-q^(5))*x1^(2)*x2^(2)*x3^(7/2) + (-q^(5) - q^(4))*x1^(2)*x2^(3)*x3^(7/2) + (q^(7) + q^(6) - q^(5) - q^(4) - q^(3))*x1^(2)*x2^(4)*x3^(7/2) + (q^(8) + 2*q^(7) + 2*q^(6) - q^(4) - q^(3) - q^(2))*x1^(2)*x2^(5)*x3^(7/2) + (-2*q^(8) - q^(7))*x1^(2)*x2^(4)*x3^(9/2) + (-q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(2)*x2^(5)*x3^(9/2) + (q^(9))*x1^(2)*x2^(4)*x3^(11/2) + (2*q^(11) + 2*q^(10) + 2*q^(9) + q^(8))*x1^(2)*x2^(5)*x3^(11/2) + (-q^(3))*x1^(3)*x2*x3^(3/2) + (-q^(3) - q^(2) - q)*x1^(3)*x2^(2)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(3)*x2^(3)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(3)*x2^(4)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(3)*x2^(5)*x3^(3/2) + (q^(4))*x1^(3)*x2*x3^(5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(3)*x2^(2)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 4*q^(2) + 2*q + 1)*x1^(3)*x2^(3)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(3)*x2^(4)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 6*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(3)*x2^(5)*x3^(5/2) + (-q^(5) - q^(4))*x1^(3)*x2^(2)*x3^(7/2) + (-q^(5) - 3*q^(4) - 2*q^(3) - q^(2))*x1^(3)*x2^(3)*x3^(7/2) + (q^(7) + q^(6) - 3*q^(4) - 4*q^(3) - 4*q^(2) - 2*q - 1)*x1^(3)*x2^(4)*x3^(7/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - q^(4) - 3*q^(3) - 6*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(3)*x2^(5)*x3^(7/2) + (q^(5))*x1^(3)*x2^(3)*x3^(9/2) + (-2*q^(8) - 2*q^(7) - q^(6) + q^(5) + q^(4) + q^(3))*x1^(3)*x2^(4)*x3^(9/2) + (-q^(10) - 3*q^(9) - 6*q^(8) - 7*q^(7) - 6*q^(6) - 2*q^(5) + 2*q^(3) + q^(2) + q)*x1^(3)*x2^(5)*x3^(9/2) + (-q^(10))*x1^(3)*x2^(3)*x3^(11/2) + (-q^(11) - q^(10) + q^(9) + q^(8))*x1^(3)*x2^(4)*x3^(11/2) + (-q^(12) + q^(11) + 2*q^(10) + 5*q^(9) + 5*q^(8) + 3*q^(7) + q^(6))*x1^(3)*x2^(5)*x3^(11/2) + (-q^(3))*x1^(4)*x2*x3^(3/2) + (-q^(3) - q^(2) - q - 1)*x1^(4)*x2^(2)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(4)*x2^(3)*x3^(3/2) + (-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^(4)*x2^(4)*x3^(3/2) + (-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^(4)*x2^(5)*x3^(3/2) + (q^(4))*x1^(4)*x2*x3^(5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(4)*x2^(2)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(4)*x2^(3)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 8*q + 9*1 + 8*q^(-1) + 7*q^(-2) + 4*q^(-3) + 2*q^(-4) + q^(-5))*x1^(4)*x2^(4)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 9*q + 12*1 + 13*q^(-1) + 14*q^(-2) + 12*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(4)*x2^(5)*x3^(5/2) + (q^(7))*x1^(4)*x2*x3^(7/2) + (q^(7) + q^(6) - q^(5) - q^(4) - q^(3))*x1^(4)*x2^(2)*x3^(7/2) + (q^(7) + q^(6) - 3*q^(4) - 4*q^(3) - 4*q^(2) - 2*q - 1)*x1^(4)*x2^(3)*x3^(7/2) + (2*q^(7) + 2*q^(6) + q^(5) - q^(4) - 6*q^(3) - 8*q^(2) - 9*q - 7*1 - 5*q^(-1) - 2*q^(-2) - q^(-3))*x1^(4)*x2^(4)*x3^(7/2) + (q^(8) + 3*q^(7) + 4*q^(6) + 4*q^(5) + 2*q^(4) - 2*q^(3) - 8*q^(2) - 12*q - 15*1 - 14*q^(-1) - 12*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(4)*x2^(5)*x3^(7/2) + (-q^(8))*x1^(4)*x2*x3^(9/2) + (-2*q^(8) - q^(7))*x1^(4)*x2^(2)*x3^(9/2) + (-2*q^(8) - 2*q^(7) - q^(6) + q^(5) + q^(4) + q^(3))*x1^(4)*x2^(3)*x3^(9/2) + (-4*q^(8) - 4*q^(7) - 4*q^(6) - q^(5) + 2*q^(4) + 4*q^(3) + 3*q^(2) + 2*q + 1)*x1^(4)*x2^(4)*x3^(9/2) + (-q^(10) - 3*q^(9) - 8*q^(8) - 11*q^(7) - 12*q^(6) - 10*q^(5) - 5*q^(4) + 2*q^(3) + 5*q^(2) + 7*q + 6*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(4)*x2^(5)*x3^(9/2) + (q^(9))*x1^(4)*x2^(2)*x3^(11/2) + (-q^(11) - q^(10) + q^(9) + q^(8))*x1^(4)*x2^(3)*x3^(11/2) + (-q^(12) - 3*q^(11) - 3*q^(10) + q^(9) + 2*q^(8) + 2*q^(7) - q^(4))*x1^(4)*x2^(4)*x3^(11/2) + (-q^(13) - 3*q^(12) - 3*q^(11) - 2*q^(10) + 4*q^(9) + 8*q^(8) + 9*q^(7) + 7*q^(6) + 3*q^(5) - q^(3) - q^(2) - q)*x1^(4)*x2^(5)*x3^(11/2) + (-q^(3))*x1^(5)*x2*x3^(3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(5)*x2^(2)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(5)*x2^(3)*x3^(3/2) + (-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^(5)*x2^(4)*x3^(3/2) + (-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^(5)*x2^(5)*x3^(3/2) + (q^(4))*x1^(5)*x2*x3^(5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(5)*x2^(2)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 6*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(5)*x2^(3)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 9*q + 12*1 + 13*q^(-1) + 14*q^(-2) + 12*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(5)*x2^(4)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 10*q + 15*1 + 18*q^(-1) + 23*q^(-2) + 24*q^(-3) + 25*q^(-4) + 23*q^(-5) + 20*q^(-6) + 15*q^(-7) + 12*q^(-8) + 7*q^(-9) + 4*q^(-10) + 2*q^(-11) + q^(-12))*x1^(5)*x2^(5)*x3^(5/2) + (q^(8) + q^(7))*x1^(5)*x2*x3^(7/2) + (q^(8) + 2*q^(7) + 2*q^(6) - q^(4) - q^(3) - q^(2))*x1^(5)*x2^(2)*x3^(7/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - q^(4) - 3*q^(3) - 6*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(5)*x2^(3)*x3^(7/2) + (q^(8) + 3*q^(7) + 4*q^(6) + 4*q^(5) + 2*q^(4) - 2*q^(3) - 8*q^(2) - 12*q - 15*1 - 14*q^(-1) - 12*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(5)*x2^(4)*x3^(7/2) + (2*q^(8) + 4*q^(7) + 6*q^(6) + 7*q^(5) + 7*q^(4) + 4*q^(3) - 4*q^(2) - 11*q - 20*1 - 26*q^(-1) - 31*q^(-2) - 29*q^(-3) - 27*q^(-4) - 20*q^(-5) - 15*q^(-6) - 9*q^(-7) - 5*q^(-8) - 2*q^(-9) - q^(-10))*x1^(5)*x2^(5)*x3^(7/2) + (-q^(10) - q^(9) - q^(8))*x1^(5)*x2*x3^(9/2) + (-q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(5)*x2^(2)*x3^(9/2) + (-q^(10) - 3*q^(9) - 6*q^(8) - 7*q^(7) - 6*q^(6) - 2*q^(5) + 2*q^(3) + q^(2) + q)*x1^(5)*x2^(3)*x3^(9/2) + (-q^(10) - 3*q^(9) - 8*q^(8) - 11*q^(7) - 12*q^(6) - 10*q^(5) - 5*q^(4) + 2*q^(3) + 5*q^(2) + 7*q + 6*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(5)*x2^(4)*x3^(9/2) + (-2*q^(10) - 6*q^(9) - 12*q^(8) - 18*q^(7) - 24*q^(6) - 25*q^(5) - 22*q^(4) - 12*q^(3) - 3*q^(2) + 8*q + 14*1 + 18*q^(-1) + 15*q^(-2) + 13*q^(-3) + 8*q^(-4) + 5*q^(-5) + 2*q^(-6) + q^(-7))*x1^(5)*x2^(5)*x3^(9/2) + (q^(11))*x1^(5)*x2*x3^(11/2) + (2*q^(11) + 2*q^(10) + 2*q^(9) + q^(8))*x1^(5)*x2^(2)*x3^(11/2) + (-q^(12) + q^(11) + 2*q^(10) + 5*q^(9) + 5*q^(8) + 3*q^(7) + q^(6))*x1^(5)*x2^(3)*x3^(11/2) + (-q^(13) - 3*q^(12) - 3*q^(11) - 2*q^(10) + 4*q^(9) + 8*q^(8) + 9*q^(7) + 7*q^(6) + 3*q^(5) - q^(3) - q^(2) - q)*x1^(5)*x2^(4)*x3^(11/2) + (-q^(14) - 3*q^(13) - 7*q^(12) - 6*q^(11) - 6*q^(10) + 2*q^(9) + 11*q^(8) + 19*q^(7) + 21*q^(6) + 18*q^(5) + 11*q^(4) + 4*q^(3) - q^(2) - 5*q - 4*1 - 3*q^(-1) - 2*q^(-2) - q^(-3))*x1^(5)*x2^(5)*x3^(11/2)
(-1, -1, -3/2) (1, 1, 1) x1^(1)x2^(1)x3^(3/2) q^(3) 
{"0": [1, 1, 1, 1, -1, 1], "1": [1, 1, 1, 1, 1, 1, 1, 1], "2": [-1, 1, 1, 1, 1, 1]}
 
(-q^(3))*x1*x2*x3^(3/2) + (-q^(3))*x1*x2^(2)*x3^(3/2) + (-q^(3))*x1*x2^(3)*x3^(3/2) + (-q^(3))*x1*x2^(4)*x3^(3/2) + (-q^(3))*x1*x2^(5)*x3^(3/2) + (q^(4))*x1*x2^(2)*x3^(5/2) + (q^(4))*x1*x2^(3)*x3^(5/2) + (q^(4))*x1*x2^(4)*x3^(5/2) + (q^(4))*x1*x2^(5)*x3^(5/2) + (q^(7))*x1*x2^(4)*x3^(7/2) + (q^(8) + q^(7))*x1*x2^(5)*x3^(7/2) + (-q^(8))*x1*x2^(4)*x3^(9/2) + (-q^(10) - q^(9) - q^(8))*x1*x2^(5)*x3^(9/2) + (q^(11))*x1*x2^(5)*x3^(11/2) + (-q^(3))*x1^(2)*x2*x3^(3/2) + (-q^(3) - q^(2))*x1^(2)*x2^(2)*x3^(3/2) + (-q^(3) - q^(2) - q)*x1^(2)*x2^(3)*x3^(3/2) + (-q^(3) - q^(2) - q - 1)*x1^(2)*x2^(4)*x3^(3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(2)*x2^(5)*x3^(3/2) + (q^(4))*x1^(2)*x2*x3^(5/2) + (2*q^(4) + q^(3))*x1^(2)*x2^(2)*x3^(5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(2)*x2^(3)*x3^(5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(2)*x2^(4)*x3^(5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(2)*x2^(5)*x3^(5/2) + (-q^(5))*x1^(2)*x2^(2)*x3^(7/2) + (-q^(5) - q^(4))*x1^(2)*x2^(3)*x3^(7/2) + (q^(7) + q^(6) - q^(5) - q^(4) - q^(3))*x1^(2)*x2^(4)*x3^(7/2) + (q^(8) + 2*q^(7) + 2*q^(6) - q^(4) - q^(3) - q^(2))*x1^(2)*x2^(5)*x3^(7/2) + (-2*q^(8) - q^(7))*x1^(2)*x2^(4)*x3^(9/2) + (-q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(2)*x2^(5)*x3^(9/2) + (q^(9))*x1^(2)*x2^(4)*x3^(11/2) + (2*q^(11) + 2*q^(10) + 2*q^(9) + q^(8))*x1^(2)*x2^(5)*x3^(11/2) + (-q^(3))*x1^(3)*x2*x3^(3/2) + (-q^(3) - q^(2) - q)*x1^(3)*x2^(2)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(3)*x2^(3)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(3)*x2^(4)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(3)*x2^(5)*x3^(3/2) + (q^(4))*x1^(3)*x2*x3^(5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(3)*x2^(2)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 4*q^(2) + 2*q + 1)*x1^(3)*x2^(3)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(3)*x2^(4)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 6*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(3)*x2^(5)*x3^(5/2) + (-q^(5) - q^(4))*x1^(3)*x2^(2)*x3^(7/2) + (-q^(5) - 3*q^(4) - 2*q^(3) - q^(2))*x1^(3)*x2^(3)*x3^(7/2) + (q^(7) + q^(6) - 3*q^(4) - 4*q^(3) - 4*q^(2) - 2*q - 1)*x1^(3)*x2^(4)*x3^(7/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - q^(4) - 3*q^(3) - 6*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(3)*x2^(5)*x3^(7/2) + (q^(5))*x1^(3)*x2^(3)*x3^(9/2) + (-2*q^(8) - 2*q^(7) - q^(6) + q^(5) + q^(4) + q^(3))*x1^(3)*x2^(4)*x3^(9/2) + (-q^(10) - 3*q^(9) - 6*q^(8) - 7*q^(7) - 6*q^(6) - 2*q^(5) + 2*q^(3) + q^(2) + q)*x1^(3)*x2^(5)*x3^(9/2) + (-q^(10))*x1^(3)*x2^(3)*x3^(11/2) + (-q^(11) - q^(10) + q^(9) + q^(8))*x1^(3)*x2^(4)*x3^(11/2) + (-q^(12) + q^(11) + 2*q^(10) + 5*q^(9) + 5*q^(8) + 3*q^(7) + q^(6))*x1^(3)*x2^(5)*x3^(11/2) + (-q^(3))*x1^(4)*x2*x3^(3/2) + (-q^(3) - q^(2) - q - 1)*x1^(4)*x2^(2)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(4)*x2^(3)*x3^(3/2) + (-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^(4)*x2^(4)*x3^(3/2) + (-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^(4)*x2^(5)*x3^(3/2) + (q^(4))*x1^(4)*x2*x3^(5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(4)*x2^(2)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(4)*x2^(3)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 8*q + 9*1 + 8*q^(-1) + 7*q^(-2) + 4*q^(-3) + 2*q^(-4) + q^(-5))*x1^(4)*x2^(4)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 9*q + 12*1 + 13*q^(-1) + 14*q^(-2) + 12*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(4)*x2^(5)*x3^(5/2) + (q^(7))*x1^(4)*x2*x3^(7/2) + (q^(7) + q^(6) - q^(5) - q^(4) - q^(3))*x1^(4)*x2^(2)*x3^(7/2) + (q^(7) + q^(6) - 3*q^(4) - 4*q^(3) - 4*q^(2) - 2*q - 1)*x1^(4)*x2^(3)*x3^(7/2) + (2*q^(7) + 2*q^(6) + q^(5) - q^(4) - 6*q^(3) - 8*q^(2) - 9*q - 7*1 - 5*q^(-1) - 2*q^(-2) - q^(-3))*x1^(4)*x2^(4)*x3^(7/2) + (q^(8) + 3*q^(7) + 4*q^(6) + 4*q^(5) + 2*q^(4) - 2*q^(3) - 8*q^(2) - 12*q - 15*1 - 14*q^(-1) - 12*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(4)*x2^(5)*x3^(7/2) + (-q^(8))*x1^(4)*x2*x3^(9/2) + (-2*q^(8) - q^(7))*x1^(4)*x2^(2)*x3^(9/2) + (-2*q^(8) - 2*q^(7) - q^(6) + q^(5) + q^(4) + q^(3))*x1^(4)*x2^(3)*x3^(9/2) + (-4*q^(8) - 4*q^(7) - 4*q^(6) - q^(5) + 2*q^(4) + 4*q^(3) + 3*q^(2) + 2*q + 1)*x1^(4)*x2^(4)*x3^(9/2) + (-q^(10) - 3*q^(9) - 8*q^(8) - 11*q^(7) - 12*q^(6) - 10*q^(5) - 5*q^(4) + 2*q^(3) + 5*q^(2) + 7*q + 6*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(4)*x2^(5)*x3^(9/2) + (q^(9))*x1^(4)*x2^(2)*x3^(11/2) + (-q^(11) - q^(10) + q^(9) + q^(8))*x1^(4)*x2^(3)*x3^(11/2) + (-q^(12) - 3*q^(11) - 3*q^(10) + q^(9) + 2*q^(8) + 2*q^(7) - q^(4))*x1^(4)*x2^(4)*x3^(11/2) + (-q^(13) - 3*q^(12) - 3*q^(11) - 2*q^(10) + 4*q^(9) + 8*q^(8) + 9*q^(7) + 7*q^(6) + 3*q^(5) - q^(3) - q^(2) - q)*x1^(4)*x2^(5)*x3^(11/2) + (-q^(3))*x1^(5)*x2*x3^(3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(5)*x2^(2)*x3^(3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(5)*x2^(3)*x3^(3/2) + (-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^(5)*x2^(4)*x3^(3/2) + (-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^(5)*x2^(5)*x3^(3/2) + (q^(4))*x1^(5)*x2*x3^(5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(5)*x2^(2)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 6*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(5)*x2^(3)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 9*q + 12*1 + 13*q^(-1) + 14*q^(-2) + 12*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(5)*x2^(4)*x3^(5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 10*q + 15*1 + 18*q^(-1) + 23*q^(-2) + 24*q^(-3) + 25*q^(-4) + 23*q^(-5) + 20*q^(-6) + 15*q^(-7) + 12*q^(-8) + 7*q^(-9) + 4*q^(-10) + 2*q^(-11) + q^(-12))*x1^(5)*x2^(5)*x3^(5/2) + (q^(8) + q^(7))*x1^(5)*x2*x3^(7/2) + (q^(8) + 2*q^(7) + 2*q^(6) - q^(4) - q^(3) - q^(2))*x1^(5)*x2^(2)*x3^(7/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - q^(4) - 3*q^(3) - 6*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(5)*x2^(3)*x3^(7/2) + (q^(8) + 3*q^(7) + 4*q^(6) + 4*q^(5) + 2*q^(4) - 2*q^(3) - 8*q^(2) - 12*q - 15*1 - 14*q^(-1) - 12*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(5)*x2^(4)*x3^(7/2) + (2*q^(8) + 4*q^(7) + 6*q^(6) + 7*q^(5) + 7*q^(4) + 4*q^(3) - 4*q^(2) - 11*q - 20*1 - 26*q^(-1) - 31*q^(-2) - 29*q^(-3) - 27*q^(-4) - 20*q^(-5) - 15*q^(-6) - 9*q^(-7) - 5*q^(-8) - 2*q^(-9) - q^(-10))*x1^(5)*x2^(5)*x3^(7/2) + (-q^(10) - q^(9) - q^(8))*x1^(5)*x2*x3^(9/2) + (-q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(5)*x2^(2)*x3^(9/2) + (-q^(10) - 3*q^(9) - 6*q^(8) - 7*q^(7) - 6*q^(6) - 2*q^(5) + 2*q^(3) + q^(2) + q)*x1^(5)*x2^(3)*x3^(9/2) + (-q^(10) - 3*q^(9) - 8*q^(8) - 11*q^(7) - 12*q^(6) - 10*q^(5) - 5*q^(4) + 2*q^(3) + 5*q^(2) + 7*q + 6*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(5)*x2^(4)*x3^(9/2) + (-2*q^(10) - 6*q^(9) - 12*q^(8) - 18*q^(7) - 24*q^(6) - 25*q^(5) - 22*q^(4) - 12*q^(3) - 3*q^(2) + 8*q + 14*1 + 18*q^(-1) + 15*q^(-2) + 13*q^(-3) + 8*q^(-4) + 5*q^(-5) + 2*q^(-6) + q^(-7))*x1^(5)*x2^(5)*x3^(9/2) + (q^(11))*x1^(5)*x2*x3^(11/2) + (2*q^(11) + 2*q^(10) + 2*q^(9) + q^(8))*x1^(5)*x2^(2)*x3^(11/2) + (-q^(12) + q^(11) + 2*q^(10) + 5*q^(9) + 5*q^(8) + 3*q^(7) + q^(6))*x1^(5)*x2^(3)*x3^(11/2) + (-q^(13) - 3*q^(12) - 3*q^(11) - 2*q^(10) + 4*q^(9) + 8*q^(8) + 9*q^(7) + 7*q^(6) + 3*q^(5) - q^(3) - q^(2) - q)*x1^(5)*x2^(4)*x3^(11/2) + (-q^(14) - 3*q^(13) - 7*q^(12) - 6*q^(11) - 6*q^(10) + 2*q^(9) + 11*q^(8) + 19*q^(7) + 21*q^(6) + 18*q^(5) + 11*q^(4) + 4*q^(3) - q^(2) - 5*q - 4*1 - 3*q^(-1) - 2*q^(-2) - q^(-3))*x1^(5)*x2^(5)*x3^(11/2)
(1, 1, 3/2) x1^(-1)x2^(-1)x3^(-3/2) q^(3) 
(-q^(3))*x1^(-1)*x2^(-1)*x3^(-3/2) + (-q^(3))*x1^(-1)*x2^(-2)*x3^(-3/2) + (-q^(3))*x1^(-1)*x2^(-3)*x3^(-3/2) + (-q^(3))*x1^(-1)*x2^(-4)*x3^(-3/2) + (-q^(3))*x1^(-1)*x2^(-5)*x3^(-3/2) + (q^(4))*x1^(-1)*x2^(-2)*x3^(-5/2) + (q^(4))*x1^(-1)*x2^(-3)*x3^(-5/2) + (q^(4))*x1^(-1)*x2^(-4)*x3^(-5/2) + (q^(4))*x1^(-1)*x2^(-5)*x3^(-5/2) + (q^(7))*x1^(-1)*x2^(-4)*x3^(-7/2) + (q^(8) + q^(7))*x1^(-1)*x2^(-5)*x3^(-7/2) + (-q^(8))*x1^(-1)*x2^(-4)*x3^(-9/2) + (-q^(10) - q^(9) - q^(8))*x1^(-1)*x2^(-5)*x3^(-9/2) + (q^(11))*x1^(-1)*x2^(-5)*x3^(-11/2) + (-q^(3))*x1^(-2)*x2^(-1)*x3^(-3/2) + (-q^(3) - q^(2))*x1^(-2)*x2^(-2)*x3^(-3/2) + (-q^(3) - q^(2) - q)*x1^(-2)*x2^(-3)*x3^(-3/2) + (-q^(3) - q^(2) - q - 1)*x1^(-2)*x2^(-4)*x3^(-3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(-2)*x2^(-5)*x3^(-3/2) + (q^(4))*x1^(-2)*x2^(-1)*x3^(-5/2) + (2*q^(4) + q^(3))*x1^(-2)*x2^(-2)*x3^(-5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(-2)*x2^(-3)*x3^(-5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(-2)*x2^(-4)*x3^(-5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(-2)*x2^(-5)*x3^(-5/2) + (-q^(5))*x1^(-2)*x2^(-2)*x3^(-7/2) + (-q^(5) - q^(4))*x1^(-2)*x2^(-3)*x3^(-7/2) + (q^(7) + q^(6) - q^(5) - q^(4) - q^(3))*x1^(-2)*x2^(-4)*x3^(-7/2) + (q^(8) + 2*q^(7) + 2*q^(6) - q^(4) - q^(3) - q^(2))*x1^(-2)*x2^(-5)*x3^(-7/2) + (-2*q^(8) - q^(7))*x1^(-2)*x2^(-4)*x3^(-9/2) + (-q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(-2)*x2^(-5)*x3^(-9/2) + (q^(9))*x1^(-2)*x2^(-4)*x3^(-11/2) + (2*q^(11) + 2*q^(10) + 2*q^(9) + q^(8))*x1^(-2)*x2^(-5)*x3^(-11/2) + (-q^(3))*x1^(-3)*x2^(-1)*x3^(-3/2) + (-q^(3) - q^(2) - q)*x1^(-3)*x2^(-2)*x3^(-3/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(-3)*x2^(-3)*x3^(-3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(-3)*x2^(-4)*x3^(-3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(-3)*x2^(-5)*x3^(-3/2) + (q^(4))*x1^(-3)*x2^(-1)*x3^(-5/2) + (2*q^(4) + 2*q^(3) + q^(2))*x1^(-3)*x2^(-2)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 4*q^(2) + 2*q + 1)*x1^(-3)*x2^(-3)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(-3)*x2^(-4)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 6*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(-3)*x2^(-5)*x3^(-5/2) + (-q^(5) - q^(4))*x1^(-3)*x2^(-2)*x3^(-7/2) + (-q^(5) - 3*q^(4) - 2*q^(3) - q^(2))*x1^(-3)*x2^(-3)*x3^(-7/2) + (q^(7) + q^(6) - 3*q^(4) - 4*q^(3) - 4*q^(2) - 2*q - 1)*x1^(-3)*x2^(-4)*x3^(-7/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - q^(4) - 3*q^(3) - 6*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(-3)*x2^(-5)*x3^(-7/2) + (q^(5))*x1^(-3)*x2^(-3)*x3^(-9/2) + (-2*q^(8) - 2*q^(7) - q^(6) + q^(5) + q^(4) + q^(3))*x1^(-3)*x2^(-4)*x3^(-9/2) + (-q^(10) - 3*q^(9) - 6*q^(8) - 7*q^(7) - 6*q^(6) - 2*q^(5) + 2*q^(3) + q^(2) + q)*x1^(-3)*x2^(-5)*x3^(-9/2) + (-q^(10))*x1^(-3)*x2^(-3)*x3^(-11/2) + (-q^(11) - q^(10) + q^(9) + q^(8))*x1^(-3)*x2^(-4)*x3^(-11/2) + (-q^(12) + q^(11) + 2*q^(10) + 5*q^(9) + 5*q^(8) + 3*q^(7) + q^(6))*x1^(-3)*x2^(-5)*x3^(-11/2) + (-q^(3))*x1^(-4)*x2^(-1)*x3^(-3/2) + (-q^(3) - q^(2) - q - 1)*x1^(-4)*x2^(-2)*x3^(-3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 2*q^(-1) - q^(-2) - q^(-3))*x1^(-4)*x2^(-3)*x3^(-3/2) + (-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^(-4)*x2^(-4)*x3^(-3/2) + (-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^(-4)*x2^(-5)*x3^(-3/2) + (q^(4))*x1^(-4)*x2^(-1)*x3^(-5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + q)*x1^(-4)*x2^(-2)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 5*q + 4*1 + 2*q^(-1) + q^(-2))*x1^(-4)*x2^(-3)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 8*q + 9*1 + 8*q^(-1) + 7*q^(-2) + 4*q^(-3) + 2*q^(-4) + q^(-5))*x1^(-4)*x2^(-4)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 9*q + 12*1 + 13*q^(-1) + 14*q^(-2) + 12*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(-4)*x2^(-5)*x3^(-5/2) + (q^(7))*x1^(-4)*x2^(-1)*x3^(-7/2) + (q^(7) + q^(6) - q^(5) - q^(4) - q^(3))*x1^(-4)*x2^(-2)*x3^(-7/2) + (q^(7) + q^(6) - 3*q^(4) - 4*q^(3) - 4*q^(2) - 2*q - 1)*x1^(-4)*x2^(-3)*x3^(-7/2) + (2*q^(7) + 2*q^(6) + q^(5) - q^(4) - 6*q^(3) - 8*q^(2) - 9*q - 7*1 - 5*q^(-1) - 2*q^(-2) - q^(-3))*x1^(-4)*x2^(-4)*x3^(-7/2) + (q^(8) + 3*q^(7) + 4*q^(6) + 4*q^(5) + 2*q^(4) - 2*q^(3) - 8*q^(2) - 12*q - 15*1 - 14*q^(-1) - 12*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(-4)*x2^(-5)*x3^(-7/2) + (-q^(8))*x1^(-4)*x2^(-1)*x3^(-9/2) + (-2*q^(8) - q^(7))*x1^(-4)*x2^(-2)*x3^(-9/2) + (-2*q^(8) - 2*q^(7) - q^(6) + q^(5) + q^(4) + q^(3))*x1^(-4)*x2^(-3)*x3^(-9/2) + (-4*q^(8) - 4*q^(7) - 4*q^(6) - q^(5) + 2*q^(4) + 4*q^(3) + 3*q^(2) + 2*q + 1)*x1^(-4)*x2^(-4)*x3^(-9/2) + (-q^(10) - 3*q^(9) - 8*q^(8) - 11*q^(7) - 12*q^(6) - 10*q^(5) - 5*q^(4) + 2*q^(3) + 5*q^(2) + 7*q + 6*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(-4)*x2^(-5)*x3^(-9/2) + (q^(9))*x1^(-4)*x2^(-2)*x3^(-11/2) + (-q^(11) - q^(10) + q^(9) + q^(8))*x1^(-4)*x2^(-3)*x3^(-11/2) + (-q^(12) - 3*q^(11) - 3*q^(10) + q^(9) + 2*q^(8) + 2*q^(7) - q^(4))*x1^(-4)*x2^(-4)*x3^(-11/2) + (-q^(13) - 3*q^(12) - 3*q^(11) - 2*q^(10) + 4*q^(9) + 8*q^(8) + 9*q^(7) + 7*q^(6) + 3*q^(5) - q^(3) - q^(2) - q)*x1^(-4)*x2^(-5)*x3^(-11/2) + (-q^(3))*x1^(-5)*x2^(-1)*x3^(-3/2) + (-q^(3) - q^(2) - q - 1 - q^(-1))*x1^(-5)*x2^(-2)*x3^(-3/2) + (-q^(3) - q^(2) - 2*q - 2*1 - 3*q^(-1) - 2*q^(-2) - 2*q^(-3) - q^(-4) - q^(-5))*x1^(-5)*x2^(-3)*x3^(-3/2) + (-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^(-5)*x2^(-4)*x3^(-3/2) + (-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^(-5)*x2^(-5)*x3^(-3/2) + (q^(4))*x1^(-5)*x2^(-1)*x3^(-5/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q + 1)*x1^(-5)*x2^(-2)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 5*q^(2) + 6*q + 7*1 + 5*q^(-1) + 4*q^(-2) + 2*q^(-3) + q^(-4))*x1^(-5)*x2^(-3)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 9*q + 12*1 + 13*q^(-1) + 14*q^(-2) + 12*q^(-3) + 10*q^(-4) + 7*q^(-5) + 4*q^(-6) + 2*q^(-7) + q^(-8))*x1^(-5)*x2^(-4)*x3^(-5/2) + (2*q^(4) + 3*q^(3) + 6*q^(2) + 10*q + 15*1 + 18*q^(-1) + 23*q^(-2) + 24*q^(-3) + 25*q^(-4) + 23*q^(-5) + 20*q^(-6) + 15*q^(-7) + 12*q^(-8) + 7*q^(-9) + 4*q^(-10) + 2*q^(-11) + q^(-12))*x1^(-5)*x2^(-5)*x3^(-5/2) + (q^(8) + q^(7))*x1^(-5)*x2^(-1)*x3^(-7/2) + (q^(8) + 2*q^(7) + 2*q^(6) - q^(4) - q^(3) - q^(2))*x1^(-5)*x2^(-2)*x3^(-7/2) + (q^(8) + 2*q^(7) + 3*q^(6) + 2*q^(5) - q^(4) - 3*q^(3) - 6*q^(2) - 5*q - 4*1 - 2*q^(-1) - q^(-2))*x1^(-5)*x2^(-3)*x3^(-7/2) + (q^(8) + 3*q^(7) + 4*q^(6) + 4*q^(5) + 2*q^(4) - 2*q^(3) - 8*q^(2) - 12*q - 15*1 - 14*q^(-1) - 12*q^(-2) - 8*q^(-3) - 5*q^(-4) - 2*q^(-5) - q^(-6))*x1^(-5)*x2^(-4)*x3^(-7/2) + (2*q^(8) + 4*q^(7) + 6*q^(6) + 7*q^(5) + 7*q^(4) + 4*q^(3) - 4*q^(2) - 11*q - 20*1 - 26*q^(-1) - 31*q^(-2) - 29*q^(-3) - 27*q^(-4) - 20*q^(-5) - 15*q^(-6) - 9*q^(-7) - 5*q^(-8) - 2*q^(-9) - q^(-10))*x1^(-5)*x2^(-5)*x3^(-7/2) + (-q^(10) - q^(9) - q^(8))*x1^(-5)*x2^(-1)*x3^(-9/2) + (-q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(-5)*x2^(-2)*x3^(-9/2) + (-q^(10) - 3*q^(9) - 6*q^(8) - 7*q^(7) - 6*q^(6) - 2*q^(5) + 2*q^(3) + q^(2) + q)*x1^(-5)*x2^(-3)*x3^(-9/2) + (-q^(10) - 3*q^(9) - 8*q^(8) - 11*q^(7) - 12*q^(6) - 10*q^(5) - 5*q^(4) + 2*q^(3) + 5*q^(2) + 7*q + 6*1 + 4*q^(-1) + 2*q^(-2) + q^(-3))*x1^(-5)*x2^(-4)*x3^(-9/2) + (-2*q^(10) - 6*q^(9) - 12*q^(8) - 18*q^(7) - 24*q^(6) - 25*q^(5) - 22*q^(4) - 12*q^(3) - 3*q^(2) + 8*q + 14*1 + 18*q^(-1) + 15*q^(-2) + 13*q^(-3) + 8*q^(-4) + 5*q^(-5) + 2*q^(-6) + q^(-7))*x1^(-5)*x2^(-5)*x3^(-9/2) + (q^(11))*x1^(-5)*x2^(-1)*x3^(-11/2) + (2*q^(11) + 2*q^(10) + 2*q^(9) + q^(8))*x1^(-5)*x2^(-2)*x3^(-11/2) + (-q^(12) + q^(11) + 2*q^(10) + 5*q^(9) + 5*q^(8) + 3*q^(7) + q^(6))*x1^(-5)*x2^(-3)*x3^(-11/2) + (-q^(13) - 3*q^(12) - 3*q^(11) - 2*q^(10) + 4*q^(9) + 8*q^(8) + 9*q^(7) + 7*q^(6) + 3*q^(5) - q^(3) - q^(2) - q)*x1^(-5)*x2^(-4)*x3^(-11/2) + (-q^(14) - 3*q^(13) - 7*q^(12) - 6*q^(11) - 6*q^(10) + 2*q^(9) + 11*q^(8) + 19*q^(7) + 21*q^(6) + 18*q^(5) + 11*q^(4) + 4*q^(3) - q^(2) - 5*q - 4*1 - 3*q^(-1) - 2*q^(-2) - q^(-3))*x1^(-5)*x2^(-5)*x3^(-11/2)

Braid

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

Multivariable Alexander polynomial

ΔL
-A1*A2*A3^(3/2) + A1*A3^(3/2) - A1*A3^(1/2) + A1*A2^(-1)*A3^(1/2) - A1*A2^(-1)*A3^(-1/2) + A2*A3^(3/2) - A2*A3^(1/2) + A3^(1/2) - A3^(-1/2) + A2^(-1)*A3^(-1/2) - A2^(-1)*A3^(-3/2) + A1^(-1)*A2*A3^(1/2) - A1^(-1)*A2*A3^(-1/2) + A1^(-1)*A3^(-1/2) - A1^(-1)*A3^(-3/2) + A1^(-1)*A2^(-1)*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
(2, 2, 3) yes
(-2, 2, -1) yes
(-2, 2, 1) yes
(0, 2, 3) yes
(-2, 0, -3) yes
(0, -2, -3) yes
(2, -2, -1) yes
(-2, -2, -3) yes
(2, -2, 1) yes
(2, 0, 3) yes
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HFL polytope

Poincaré polynomial
m^(-9)*A1^(-3/2)*A2^(-3/2)*A3^(-2) + m^(-8)*A1^(-3/2)*A2^(-3/2)*A3^(-1) + 2*m^(-8)*A1^(-3/2)*A2^(-1/2)*A3^(-2) + 2*m^(-8)*A1^(-1/2)*A2^(-3/2)*A3^(-2) + 3*m^(-7)*A1^(-3/2)*A2^(-1/2)*A3^(-1) + m^(-7)*A1^(-3/2)*A2^(1/2)*A3^(-2) + 3*m^(-7)*A1^(-1/2)*A2^(-3/2)*A3^(-1) + 3*m^(-7)*A1^(-1/2)*A2^(-1/2)*A3^(-2) + m^(-7)*A1^(1/2)*A2^(-3/2)*A3^(-2) + m^(-6)*A1^(-3/2)*A2^(-1/2) + 3*m^(-6)*A1^(-3/2)*A2^(1/2)*A3^(-1) + m^(-6)*A1^(-1/2)*A2^(-3/2) + 6*m^(-6)*A1^(-1/2)*A2^(-1/2)*A3^(-1) + m^(-6)*A1^(-1/2)*A2^(1/2)*A3^(-2) + 3*m^(-6)*A1^(1/2)*A2^(-3/2)*A3^(-1) + m^(-6)*A1^(1/2)*A2^(-1/2)*A3^(-2) + 3*m^(-5)*A1^(-3/2)*A2^(1/2) + m^(-5)*A1^(-3/2)*A2^(3/2)*A3^(-1) + 4*m^(-5)*A1^(-1/2)*A2^(-1/2) + 4*m^(-5)*A1^(-1/2)*A2^(1/2)*A3^(-1) + 3*m^(-5)*A1^(1/2)*A2^(-3/2) + 4*m^(-5)*A1^(1/2)*A2^(-1/2)*A3^(-1) + m^(-5)*A1^(3/2)*A2^(-3/2)*A3^(-1) + m^(-4)*A1^(-3/2)*A2^(1/2)*A3 + 2*m^(-4)*A1^(-3/2)*A2^(3/2) + m^(-4)*A1^(-1/2)*A2^(-1/2)*A3 + 6*m^(-4)*A1^(-1/2)*A2^(1/2) + m^(-4)*A1^(-1/2)*A2^(3/2)*A3^(-1) + m^(-4)*A1^(1/2)*A2^(-3/2)*A3 + 6*m^(-4)*A1^(1/2)*A2^(-1/2) + m^(-4)*A1^(1/2)*A2^(1/2)*A3^(-1) + 2*m^(-4)*A1^(3/2)*A2^(-3/2) + m^(-4)*A1^(3/2)*A2^(-1/2)*A3^(-1) + m^(-3)*A1^(-3/2)*A2^(3/2)*A3 + 4*m^(-3)*A1^(-1/2)*A2^(1/2)*A3 + 3*m^(-3)*A1^(-1/2)*A2^(3/2) + 4*m^(-3)*A1^(1/2)*A2^(-1/2)*A3 + 4*m^(-3)*A1^(1/2)*A2^(1/2) + m^(-3)*A1^(3/2)*A2^(-3/2)*A3 + 3*m^(-3)*A1^(3/2)*A2^(-1/2) + m^(-2)*A1^(-1/2)*A2^(1/2)*A3^2 + 3*m^(-2)*A1^(-1/2)*A2^(3/2)*A3 + m^(-2)*A1^(1/2)*A2^(-1/2)*A3^2 + 6*m^(-2)*A1^(1/2)*A2^(1/2)*A3 + m^(-2)*A1^(1/2)*A2^(3/2) + 3*m^(-2)*A1^(3/2)*A2^(-1/2)*A3 + m^(-2)*A1^(3/2)*A2^(1/2) + m^(-1)*A1^(-1/2)*A2^(3/2)*A3^2 + 3*m^(-1)*A1^(1/2)*A2^(1/2)*A3^2 + 3*m^(-1)*A1^(1/2)*A2^(3/2)*A3 + m^(-1)*A1^(3/2)*A2^(-1/2)*A3^2 + 3*m^(-1)*A1^(3/2)*A2^(1/2)*A3 + 2*A1^(1/2)*A2^(3/2)*A3^2 + 2*A1^(3/2)*A2^(1/2)*A3^2 + A1^(3/2)*A2^(3/2)*A3 + m*A1^(3/2)*A2^(3/2)*A3^2
VertexMaslovRank
(-3/2, -3/2, -2)-91
(-3/2, -3/2, -1)-81
(-3/2, 1/2, -2)-71
(-3/2, 1/2, 1)-41
(-3/2, 3/2, -1)-51
(-3/2, 3/2, 1)-31
(-1/2, 1/2, -2)-61
(-1/2, 1/2, 2)-21
(-1/2, 3/2, -1)-41
(-1/2, 3/2, 2)-11
(1/2, -3/2, -2)-71
(1/2, -3/2, 1)-41
(1/2, -1/2, -2)-61
(1/2, -1/2, 2)-21
(3/2, -3/2, -1)-51
(3/2, -3/2, 1)-31
(3/2, -1/2, -1)-41
(3/2, -1/2, 2)-11
(3/2, 3/2, 1)01
(3/2, 3/2, 2)11
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Record

FL/HFL Links

orderOption(int) 2149
namestring L10a161{0;0}
statusstring success
slugstring L10a161_0_0_eb0ceab4
result_filestring details/L10a161_0_0_eb0ceab4.json
complexity_scoreOption(int) 300
strandsOption(int) null
crossingsOption(int) 10
component_countOption(int) 3
girthOption(int) 6
total_rankOption(int) 128
wall_secondsOption(float) 0.001983
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 56
vertex_countOption(int) 20
fibered_vertex_countOption(int) 10
polytope_statusstring computed
alexander_support_sizeOption(int) 16
alexander_vertex_countOption(int) 10
alexander_relationstring not_computed
fk_countint 2
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10a161_0_0_eb0ceab4"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10a161_0_0_eb0ceab4