details/L10n75_1_0_9a734888.json

FL expansions

Newt(ΔL) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle FL
(-1/2, -3/2, -1/2) (1, 1, 1/2) x1^(1/2)x2^(3/2)x3^(1/2) 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, -1, 1]}
 
(-q^(3))*x1^(1/2)*x2^(3/2)*x3^(1/2) + (q^(2))*x1^(1/2)*x2^(5/2)*x3^(-1/2) + (-2*q^(3))*x1^(1/2)*x2^(5/2)*x3^(1/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(3/2) + (-1)*x1^(1/2)*x2^(7/2)*x3^(-3/2) + (2*q^(2) + 2*q)*x1^(1/2)*x2^(7/2)*x3^(-1/2) + (-4*q^(3) - q^(2))*x1^(1/2)*x2^(7/2)*x3^(1/2) + (q^(5) + 2*q^(4))*x1^(1/2)*x2^(7/2)*x3^(3/2) + (-q^(6))*x1^(1/2)*x2^(7/2)*x3^(5/2) + (q^(-3))*x1^(1/2)*x2^(9/2)*x3^(-5/2) + (-2*1 - 2*q^(-1) - 2*q^(-2))*x1^(1/2)*x2^(9/2)*x3^(-3/2) + (3*q^(2) + 5*q + 4*1 + q^(-1))*x1^(1/2)*x2^(9/2)*x3^(-1/2) + (-q^(4) - 7*q^(3) - 4*q^(2) - 2*q)*x1^(1/2)*x2^(9/2)*x3^(1/2) + (q^(6) + 3*q^(5) + 4*q^(4) + q^(3))*x1^(1/2)*x2^(9/2)*x3^(3/2) + (-q^(8) - q^(7) - 2*q^(6))*x1^(1/2)*x2^(9/2)*x3^(5/2) + (q^(9))*x1^(1/2)*x2^(9/2)*x3^(7/2) + (-q^(-7))*x1^(1/2)*x2^(11/2)*x3^(-7/2) + (2*q^(-3) + 2*q^(-4) + 2*q^(-5) + 2*q^(-6))*x1^(1/2)*x2^(11/2)*x3^(-5/2) + (-3*1 - 4*q^(-1) - 8*q^(-2) - 5*q^(-3) - 4*q^(-4) - q^(-5))*x1^(1/2)*x2^(11/2)*x3^(-3/2) + (5*q^(2) + 9*q + 11*1 + 10*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(1/2)*x2^(11/2)*x3^(-1/2) + (-q^(5) - 3*q^(4) - 13*q^(3) - 10*q^(2) - 9*q - 4*1 - q^(-1))*x1^(1/2)*x2^(11/2)*x3^(1/2) + (2*q^(7) + 4*q^(6) + 7*q^(5) + 9*q^(4) + 4*q^(3) + 2*q^(2))*x1^(1/2)*x2^(11/2)*x3^(3/2) + (-q^(10) - q^(9) - 4*q^(8) - 3*q^(7) - 4*q^(6) - q^(5))*x1^(1/2)*x2^(11/2)*x3^(5/2) + (q^(12) + q^(11) + q^(10) + 2*q^(9))*x1^(1/2)*x2^(11/2)*x3^(7/2) + (-q^(13))*x1^(1/2)*x2^(11/2)*x3^(9/2) + (q^(4))*x1^(3/2)*x2^(5/2)*x3^(1/2) + (-q^(5))*x1^(3/2)*x2^(5/2)*x3^(3/2) + (-q^(3) - q^(2))*x1^(3/2)*x2^(7/2)*x3^(-1/2) + (q^(5) + 3*q^(4) + q^(3))*x1^(3/2)*x2^(7/2)*x3^(1/2) + (-q^(6) - 3*q^(5))*x1^(3/2)*x2^(7/2)*x3^(3/2) + (q^(6))*x1^(3/2)*x2^(7/2)*x3^(5/2) + (q + 1 + q^(-1))*x1^(3/2)*x2^(9/2)*x3^(-3/2) + (-q^(4) - 3*q^(3) - 5*q^(2) - 3*q - 1)*x1^(3/2)*x2^(9/2)*x3^(-1/2) + (q^(6) + 3*q^(5) + 8*q^(4) + 6*q^(3) + 2*q^(2))*x1^(3/2)*x2^(9/2)*x3^(1/2) + (-q^(7) - 4*q^(6) - 8*q^(5) - 2*q^(4))*x1^(3/2)*x2^(9/2)*x3^(3/2) + (3*q^(7) + 2*q^(6))*x1^(3/2)*x2^(9/2)*x3^(5/2) + (-q^(8))*x1^(3/2)*x2^(9/2)*x3^(7/2) + (-q^(-2) - q^(-3) - q^(-4) - q^(-5))*x1^(3/2)*x2^(11/2)*x3^(-5/2) + (q^(2) + 3*q + 5*1 + 7*q^(-1) + 5*q^(-2) + 3*q^(-3) + q^(-4))*x1^(3/2)*x2^(11/2)*x3^(-3/2) + (-q^(5) - 3*q^(4) - 8*q^(3) - 14*q^(2) - 15*q - 12*1 - 5*q^(-1) - 2*q^(-2))*x1^(3/2)*x2^(11/2)*x3^(-1/2) + (q^(7) + 3*q^(6) + 9*q^(5) + 19*q^(4) + 21*q^(3) + 15*q^(2) + 6*q + 1)*x1^(3/2)*x2^(11/2)*x3^(1/2) + (-q^(8) - 5*q^(7) - 13*q^(6) - 20*q^(5) - 11*q^(4) - 4*q^(3))*x1^(3/2)*x2^(11/2)*x3^(3/2) + (q^(9) + 6*q^(8) + 9*q^(7) + 6*q^(6) + q^(5))*x1^(3/2)*x2^(11/2)*x3^(5/2) + (-2*q^(10) - 2*q^(9) - 2*q^(8))*x1^(3/2)*x2^(11/2)*x3^(7/2) + (q^(11))*x1^(3/2)*x2^(11/2)*x3^(9/2) + (-q^(6))*x1^(5/2)*x2^(7/2)*x3^(1/2) + (q^(8) + q^(7))*x1^(5/2)*x2^(7/2)*x3^(3/2) + (-q^(9))*x1^(5/2)*x2^(7/2)*x3^(5/2) + (q^(5) + q^(4) + q^(3))*x1^(5/2)*x2^(9/2)*x3^(-1/2) + (-q^(8) - 2*q^(7) - 4*q^(6) - 2*q^(5) - q^(4))*x1^(5/2)*x2^(9/2)*x3^(1/2) + (q^(10) + 2*q^(9) + 4*q^(8) + 4*q^(7) + q^(6))*x1^(5/2)*x2^(9/2)*x3^(3/2) + (-q^(11) - q^(10) - 3*q^(9) - q^(8))*x1^(5/2)*x2^(9/2)*x3^(5/2) + (q^(10))*x1^(5/2)*x2^(9/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(5/2)*x2^(11/2)*x3^(-3/2) + (q^(7) + 2*q^(6) + 5*q^(5) + 7*q^(4) + 7*q^(3) + 5*q^(2) + 2*q + 1)*x1^(5/2)*x2^(11/2)*x3^(-1/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 15*q^(6) - 12*q^(5) - 9*q^(4) - 3*q^(3) - q^(2))*x1^(5/2)*x2^(11/2)*x3^(1/2) + (q^(12) + 2*q^(11) + 5*q^(10) + 9*q^(9) + 14*q^(8) + 15*q^(7) + 8*q^(6) + 3*q^(5))*x1^(5/2)*x2^(11/2)*x3^(3/2) + (-q^(13) - q^(12) - 4*q^(11) - 6*q^(10) - 11*q^(9) - 5*q^(8) - q^(7))*x1^(5/2)*x2^(11/2)*x3^(5/2) + (q^(12) + 3*q^(11) + 3*q^(10))*x1^(5/2)*x2^(11/2)*x3^(7/2) + (-q^(12))*x1^(5/2)*x2^(11/2)*x3^(9/2) + (q^(9))*x1^(7/2)*x2^(9/2)*x3^(1/2) + (-q^(12) - q^(11) - q^(10))*x1^(7/2)*x2^(9/2)*x3^(3/2) + (q^(14) + q^(13) + q^(12))*x1^(7/2)*x2^(9/2)*x3^(5/2) + (-q^(15))*x1^(7/2)*x2^(9/2)*x3^(7/2) + (-q^(8) - q^(7) - q^(6) - q^(5))*x1^(7/2)*x2^(11/2)*x3^(-1/2) + (q^(12) + 2*q^(11) + 3*q^(10) + 5*q^(9) + 3*q^(8) + 2*q^(7) + q^(6))*x1^(7/2)*x2^(11/2)*x3^(1/2) + (-q^(15) - 2*q^(14) - 4*q^(13) - 6*q^(12) - 6*q^(11) - 6*q^(10) - 2*q^(9) - q^(8))*x1^(7/2)*x2^(11/2)*x3^(3/2) + (q^(17) + 2*q^(16) + 3*q^(15) + 5*q^(14) + 5*q^(13) + 4*q^(12) + 2*q^(11))*x1^(7/2)*x2^(11/2)*x3^(5/2) + (-q^(18) - q^(17) - q^(16) - 3*q^(15) - q^(14) - q^(13))*x1^(7/2)*x2^(11/2)*x3^(7/2) + (q^(16))*x1^(7/2)*x2^(11/2)*x3^(9/2) + (-q^(13))*x1^(9/2)*x2^(11/2)*x3^(1/2) + (q^(17) + q^(16) + q^(15) + q^(14))*x1^(9/2)*x2^(11/2)*x3^(3/2) + (-q^(20) - q^(19) - 2*q^(18) - q^(17) - q^(16))*x1^(9/2)*x2^(11/2)*x3^(5/2) + (q^(22) + q^(21) + q^(20) + q^(19))*x1^(9/2)*x2^(11/2)*x3^(7/2) + (-q^(23))*x1^(9/2)*x2^(11/2)*x3^(9/2)
(-1/2, -1/2, -3/2) (1, 1/2, 1) x1^(1/2)x2^(1/2)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, 1, 1]}
 
(-q^(-7))*x1^(1/2)*x2^(-7/2)*x3^(11/2) + (q^(-3))*x1^(1/2)*x2^(-5/2)*x3^(9/2) + (2*q^(-3) + 2*q^(-4) + 2*q^(-5) + 2*q^(-6))*x1^(1/2)*x2^(-5/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(-3/2)*x3^(7/2) + (-2*1 - 2*q^(-1) - 2*q^(-2))*x1^(1/2)*x2^(-3/2)*x3^(9/2) + (-3*1 - 4*q^(-1) - 8*q^(-2) - 5*q^(-3) - 4*q^(-4) - q^(-5))*x1^(1/2)*x2^(-3/2)*x3^(11/2) + (q^(2))*x1^(1/2)*x2^(-1/2)*x3^(5/2) + (2*q^(2) + 2*q)*x1^(1/2)*x2^(-1/2)*x3^(7/2) + (3*q^(2) + 5*q + 4*1 + q^(-1))*x1^(1/2)*x2^(-1/2)*x3^(9/2) + (5*q^(2) + 9*q + 11*1 + 10*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(1/2)*x2^(-1/2)*x3^(11/2) + (-q^(3))*x1^(1/2)*x2^(1/2)*x3^(3/2) + (-2*q^(3))*x1^(1/2)*x2^(1/2)*x3^(5/2) + (-4*q^(3) - q^(2))*x1^(1/2)*x2^(1/2)*x3^(7/2) + (-q^(4) - 7*q^(3) - 4*q^(2) - 2*q)*x1^(1/2)*x2^(1/2)*x3^(9/2) + (-q^(5) - 3*q^(4) - 13*q^(3) - 10*q^(2) - 9*q - 4*1 - q^(-1))*x1^(1/2)*x2^(1/2)*x3^(11/2) + (q^(4))*x1^(1/2)*x2^(3/2)*x3^(5/2) + (q^(5) + 2*q^(4))*x1^(1/2)*x2^(3/2)*x3^(7/2) + (q^(6) + 3*q^(5) + 4*q^(4) + q^(3))*x1^(1/2)*x2^(3/2)*x3^(9/2) + (2*q^(7) + 4*q^(6) + 7*q^(5) + 9*q^(4) + 4*q^(3) + 2*q^(2))*x1^(1/2)*x2^(3/2)*x3^(11/2) + (-q^(6))*x1^(1/2)*x2^(5/2)*x3^(7/2) + (-q^(8) - q^(7) - 2*q^(6))*x1^(1/2)*x2^(5/2)*x3^(9/2) + (-q^(10) - q^(9) - 4*q^(8) - 3*q^(7) - 4*q^(6) - q^(5))*x1^(1/2)*x2^(5/2)*x3^(11/2) + (q^(9))*x1^(1/2)*x2^(7/2)*x3^(9/2) + (q^(12) + q^(11) + q^(10) + 2*q^(9))*x1^(1/2)*x2^(7/2)*x3^(11/2) + (-q^(13))*x1^(1/2)*x2^(9/2)*x3^(11/2) + (-q^(-2) - q^(-3) - q^(-4) - q^(-5))*x1^(3/2)*x2^(-5/2)*x3^(11/2) + (q + 1 + q^(-1))*x1^(3/2)*x2^(-3/2)*x3^(9/2) + (q^(2) + 3*q + 5*1 + 7*q^(-1) + 5*q^(-2) + 3*q^(-3) + q^(-4))*x1^(3/2)*x2^(-3/2)*x3^(11/2) + (-q^(3) - q^(2))*x1^(3/2)*x2^(-1/2)*x3^(7/2) + (-q^(4) - 3*q^(3) - 5*q^(2) - 3*q - 1)*x1^(3/2)*x2^(-1/2)*x3^(9/2) + (-q^(5) - 3*q^(4) - 8*q^(3) - 14*q^(2) - 15*q - 12*1 - 5*q^(-1) - 2*q^(-2))*x1^(3/2)*x2^(-1/2)*x3^(11/2) + (q^(4))*x1^(3/2)*x2^(1/2)*x3^(5/2) + (q^(5) + 3*q^(4) + q^(3))*x1^(3/2)*x2^(1/2)*x3^(7/2) + (q^(6) + 3*q^(5) + 8*q^(4) + 6*q^(3) + 2*q^(2))*x1^(3/2)*x2^(1/2)*x3^(9/2) + (q^(7) + 3*q^(6) + 9*q^(5) + 19*q^(4) + 21*q^(3) + 15*q^(2) + 6*q + 1)*x1^(3/2)*x2^(1/2)*x3^(11/2) + (-q^(5))*x1^(3/2)*x2^(3/2)*x3^(5/2) + (-q^(6) - 3*q^(5))*x1^(3/2)*x2^(3/2)*x3^(7/2) + (-q^(7) - 4*q^(6) - 8*q^(5) - 2*q^(4))*x1^(3/2)*x2^(3/2)*x3^(9/2) + (-q^(8) - 5*q^(7) - 13*q^(6) - 20*q^(5) - 11*q^(4) - 4*q^(3))*x1^(3/2)*x2^(3/2)*x3^(11/2) + (q^(6))*x1^(3/2)*x2^(5/2)*x3^(7/2) + (3*q^(7) + 2*q^(6))*x1^(3/2)*x2^(5/2)*x3^(9/2) + (q^(9) + 6*q^(8) + 9*q^(7) + 6*q^(6) + q^(5))*x1^(3/2)*x2^(5/2)*x3^(11/2) + (-q^(8))*x1^(3/2)*x2^(7/2)*x3^(9/2) + (-2*q^(10) - 2*q^(9) - 2*q^(8))*x1^(3/2)*x2^(7/2)*x3^(11/2) + (q^(11))*x1^(3/2)*x2^(9/2)*x3^(11/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(5/2)*x2^(-3/2)*x3^(11/2) + (q^(5) + q^(4) + q^(3))*x1^(5/2)*x2^(-1/2)*x3^(9/2) + (q^(7) + 2*q^(6) + 5*q^(5) + 7*q^(4) + 7*q^(3) + 5*q^(2) + 2*q + 1)*x1^(5/2)*x2^(-1/2)*x3^(11/2) + (-q^(6))*x1^(5/2)*x2^(1/2)*x3^(7/2) + (-q^(8) - 2*q^(7) - 4*q^(6) - 2*q^(5) - q^(4))*x1^(5/2)*x2^(1/2)*x3^(9/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 15*q^(6) - 12*q^(5) - 9*q^(4) - 3*q^(3) - q^(2))*x1^(5/2)*x2^(1/2)*x3^(11/2) + (q^(8) + q^(7))*x1^(5/2)*x2^(3/2)*x3^(7/2) + (q^(10) + 2*q^(9) + 4*q^(8) + 4*q^(7) + q^(6))*x1^(5/2)*x2^(3/2)*x3^(9/2) + (q^(12) + 2*q^(11) + 5*q^(10) + 9*q^(9) + 14*q^(8) + 15*q^(7) + 8*q^(6) + 3*q^(5))*x1^(5/2)*x2^(3/2)*x3^(11/2) + (-q^(9))*x1^(5/2)*x2^(5/2)*x3^(7/2) + (-q^(11) - q^(10) - 3*q^(9) - q^(8))*x1^(5/2)*x2^(5/2)*x3^(9/2) + (-q^(13) - q^(12) - 4*q^(11) - 6*q^(10) - 11*q^(9) - 5*q^(8) - q^(7))*x1^(5/2)*x2^(5/2)*x3^(11/2) + (q^(10))*x1^(5/2)*x2^(7/2)*x3^(9/2) + (q^(12) + 3*q^(11) + 3*q^(10))*x1^(5/2)*x2^(7/2)*x3^(11/2) + (-q^(12))*x1^(5/2)*x2^(9/2)*x3^(11/2) + (-q^(8) - q^(7) - q^(6) - q^(5))*x1^(7/2)*x2^(-1/2)*x3^(11/2) + (q^(9))*x1^(7/2)*x2^(1/2)*x3^(9/2) + (q^(12) + 2*q^(11) + 3*q^(10) + 5*q^(9) + 3*q^(8) + 2*q^(7) + q^(6))*x1^(7/2)*x2^(1/2)*x3^(11/2) + (-q^(12) - q^(11) - q^(10))*x1^(7/2)*x2^(3/2)*x3^(9/2) + (-q^(15) - 2*q^(14) - 4*q^(13) - 6*q^(12) - 6*q^(11) - 6*q^(10) - 2*q^(9) - q^(8))*x1^(7/2)*x2^(3/2)*x3^(11/2) + (q^(14) + q^(13) + q^(12))*x1^(7/2)*x2^(5/2)*x3^(9/2) + (q^(17) + 2*q^(16) + 3*q^(15) + 5*q^(14) + 5*q^(13) + 4*q^(12) + 2*q^(11))*x1^(7/2)*x2^(5/2)*x3^(11/2) + (-q^(15))*x1^(7/2)*x2^(7/2)*x3^(9/2) + (-q^(18) - q^(17) - q^(16) - 3*q^(15) - q^(14) - q^(13))*x1^(7/2)*x2^(7/2)*x3^(11/2) + (q^(16))*x1^(7/2)*x2^(9/2)*x3^(11/2) + (-q^(13))*x1^(9/2)*x2^(1/2)*x3^(11/2) + (q^(17) + q^(16) + q^(15) + q^(14))*x1^(9/2)*x2^(3/2)*x3^(11/2) + (-q^(20) - q^(19) - 2*q^(18) - q^(17) - q^(16))*x1^(9/2)*x2^(5/2)*x3^(11/2) + (q^(22) + q^(21) + q^(20) + q^(19))*x1^(9/2)*x2^(7/2)*x3^(11/2) + (-q^(23))*x1^(9/2)*x2^(9/2)*x3^(11/2)
(-1/2, -3/2, -1/2) (1, 1, 1/2) x1^(1/2)x2^(3/2)x3^(1/2) 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, -1, 1]}
 
(-q^(3))*x1^(1/2)*x2^(3/2)*x3^(1/2) + (q^(2))*x1^(1/2)*x2^(5/2)*x3^(-1/2) + (-2*q^(3))*x1^(1/2)*x2^(5/2)*x3^(1/2) + (q^(4))*x1^(1/2)*x2^(5/2)*x3^(3/2) + (-1)*x1^(1/2)*x2^(7/2)*x3^(-3/2) + (2*q^(2) + 2*q)*x1^(1/2)*x2^(7/2)*x3^(-1/2) + (-4*q^(3) - q^(2))*x1^(1/2)*x2^(7/2)*x3^(1/2) + (q^(5) + 2*q^(4))*x1^(1/2)*x2^(7/2)*x3^(3/2) + (-q^(6))*x1^(1/2)*x2^(7/2)*x3^(5/2) + (q^(-3))*x1^(1/2)*x2^(9/2)*x3^(-5/2) + (-2*1 - 2*q^(-1) - 2*q^(-2))*x1^(1/2)*x2^(9/2)*x3^(-3/2) + (3*q^(2) + 5*q + 4*1 + q^(-1))*x1^(1/2)*x2^(9/2)*x3^(-1/2) + (-q^(4) - 7*q^(3) - 4*q^(2) - 2*q)*x1^(1/2)*x2^(9/2)*x3^(1/2) + (q^(6) + 3*q^(5) + 4*q^(4) + q^(3))*x1^(1/2)*x2^(9/2)*x3^(3/2) + (-q^(8) - q^(7) - 2*q^(6))*x1^(1/2)*x2^(9/2)*x3^(5/2) + (q^(9))*x1^(1/2)*x2^(9/2)*x3^(7/2) + (-q^(-7))*x1^(1/2)*x2^(11/2)*x3^(-7/2) + (2*q^(-3) + 2*q^(-4) + 2*q^(-5) + 2*q^(-6))*x1^(1/2)*x2^(11/2)*x3^(-5/2) + (-3*1 - 4*q^(-1) - 8*q^(-2) - 5*q^(-3) - 4*q^(-4) - q^(-5))*x1^(1/2)*x2^(11/2)*x3^(-3/2) + (5*q^(2) + 9*q + 11*1 + 10*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(1/2)*x2^(11/2)*x3^(-1/2) + (-q^(5) - 3*q^(4) - 13*q^(3) - 10*q^(2) - 9*q - 4*1 - q^(-1))*x1^(1/2)*x2^(11/2)*x3^(1/2) + (2*q^(7) + 4*q^(6) + 7*q^(5) + 9*q^(4) + 4*q^(3) + 2*q^(2))*x1^(1/2)*x2^(11/2)*x3^(3/2) + (-q^(10) - q^(9) - 4*q^(8) - 3*q^(7) - 4*q^(6) - q^(5))*x1^(1/2)*x2^(11/2)*x3^(5/2) + (q^(12) + q^(11) + q^(10) + 2*q^(9))*x1^(1/2)*x2^(11/2)*x3^(7/2) + (-q^(13))*x1^(1/2)*x2^(11/2)*x3^(9/2) + (q^(4))*x1^(3/2)*x2^(5/2)*x3^(1/2) + (-q^(5))*x1^(3/2)*x2^(5/2)*x3^(3/2) + (-q^(3) - q^(2))*x1^(3/2)*x2^(7/2)*x3^(-1/2) + (q^(5) + 3*q^(4) + q^(3))*x1^(3/2)*x2^(7/2)*x3^(1/2) + (-q^(6) - 3*q^(5))*x1^(3/2)*x2^(7/2)*x3^(3/2) + (q^(6))*x1^(3/2)*x2^(7/2)*x3^(5/2) + (q + 1 + q^(-1))*x1^(3/2)*x2^(9/2)*x3^(-3/2) + (-q^(4) - 3*q^(3) - 5*q^(2) - 3*q - 1)*x1^(3/2)*x2^(9/2)*x3^(-1/2) + (q^(6) + 3*q^(5) + 8*q^(4) + 6*q^(3) + 2*q^(2))*x1^(3/2)*x2^(9/2)*x3^(1/2) + (-q^(7) - 4*q^(6) - 8*q^(5) - 2*q^(4))*x1^(3/2)*x2^(9/2)*x3^(3/2) + (3*q^(7) + 2*q^(6))*x1^(3/2)*x2^(9/2)*x3^(5/2) + (-q^(8))*x1^(3/2)*x2^(9/2)*x3^(7/2) + (-q^(-2) - q^(-3) - q^(-4) - q^(-5))*x1^(3/2)*x2^(11/2)*x3^(-5/2) + (q^(2) + 3*q + 5*1 + 7*q^(-1) + 5*q^(-2) + 3*q^(-3) + q^(-4))*x1^(3/2)*x2^(11/2)*x3^(-3/2) + (-q^(5) - 3*q^(4) - 8*q^(3) - 14*q^(2) - 15*q - 12*1 - 5*q^(-1) - 2*q^(-2))*x1^(3/2)*x2^(11/2)*x3^(-1/2) + (q^(7) + 3*q^(6) + 9*q^(5) + 19*q^(4) + 21*q^(3) + 15*q^(2) + 6*q + 1)*x1^(3/2)*x2^(11/2)*x3^(1/2) + (-q^(8) - 5*q^(7) - 13*q^(6) - 20*q^(5) - 11*q^(4) - 4*q^(3))*x1^(3/2)*x2^(11/2)*x3^(3/2) + (q^(9) + 6*q^(8) + 9*q^(7) + 6*q^(6) + q^(5))*x1^(3/2)*x2^(11/2)*x3^(5/2) + (-2*q^(10) - 2*q^(9) - 2*q^(8))*x1^(3/2)*x2^(11/2)*x3^(7/2) + (q^(11))*x1^(3/2)*x2^(11/2)*x3^(9/2) + (-q^(6))*x1^(5/2)*x2^(7/2)*x3^(1/2) + (q^(8) + q^(7))*x1^(5/2)*x2^(7/2)*x3^(3/2) + (-q^(9))*x1^(5/2)*x2^(7/2)*x3^(5/2) + (q^(5) + q^(4) + q^(3))*x1^(5/2)*x2^(9/2)*x3^(-1/2) + (-q^(8) - 2*q^(7) - 4*q^(6) - 2*q^(5) - q^(4))*x1^(5/2)*x2^(9/2)*x3^(1/2) + (q^(10) + 2*q^(9) + 4*q^(8) + 4*q^(7) + q^(6))*x1^(5/2)*x2^(9/2)*x3^(3/2) + (-q^(11) - q^(10) - 3*q^(9) - q^(8))*x1^(5/2)*x2^(9/2)*x3^(5/2) + (q^(10))*x1^(5/2)*x2^(9/2)*x3^(7/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(5/2)*x2^(11/2)*x3^(-3/2) + (q^(7) + 2*q^(6) + 5*q^(5) + 7*q^(4) + 7*q^(3) + 5*q^(2) + 2*q + 1)*x1^(5/2)*x2^(11/2)*x3^(-1/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 15*q^(6) - 12*q^(5) - 9*q^(4) - 3*q^(3) - q^(2))*x1^(5/2)*x2^(11/2)*x3^(1/2) + (q^(12) + 2*q^(11) + 5*q^(10) + 9*q^(9) + 14*q^(8) + 15*q^(7) + 8*q^(6) + 3*q^(5))*x1^(5/2)*x2^(11/2)*x3^(3/2) + (-q^(13) - q^(12) - 4*q^(11) - 6*q^(10) - 11*q^(9) - 5*q^(8) - q^(7))*x1^(5/2)*x2^(11/2)*x3^(5/2) + (q^(12) + 3*q^(11) + 3*q^(10))*x1^(5/2)*x2^(11/2)*x3^(7/2) + (-q^(12))*x1^(5/2)*x2^(11/2)*x3^(9/2) + (q^(9))*x1^(7/2)*x2^(9/2)*x3^(1/2) + (-q^(12) - q^(11) - q^(10))*x1^(7/2)*x2^(9/2)*x3^(3/2) + (q^(14) + q^(13) + q^(12))*x1^(7/2)*x2^(9/2)*x3^(5/2) + (-q^(15))*x1^(7/2)*x2^(9/2)*x3^(7/2) + (-q^(8) - q^(7) - q^(6) - q^(5))*x1^(7/2)*x2^(11/2)*x3^(-1/2) + (q^(12) + 2*q^(11) + 3*q^(10) + 5*q^(9) + 3*q^(8) + 2*q^(7) + q^(6))*x1^(7/2)*x2^(11/2)*x3^(1/2) + (-q^(15) - 2*q^(14) - 4*q^(13) - 6*q^(12) - 6*q^(11) - 6*q^(10) - 2*q^(9) - q^(8))*x1^(7/2)*x2^(11/2)*x3^(3/2) + (q^(17) + 2*q^(16) + 3*q^(15) + 5*q^(14) + 5*q^(13) + 4*q^(12) + 2*q^(11))*x1^(7/2)*x2^(11/2)*x3^(5/2) + (-q^(18) - q^(17) - q^(16) - 3*q^(15) - q^(14) - q^(13))*x1^(7/2)*x2^(11/2)*x3^(7/2) + (q^(16))*x1^(7/2)*x2^(11/2)*x3^(9/2) + (-q^(13))*x1^(9/2)*x2^(11/2)*x3^(1/2) + (q^(17) + q^(16) + q^(15) + q^(14))*x1^(9/2)*x2^(11/2)*x3^(3/2) + (-q^(20) - q^(19) - 2*q^(18) - q^(17) - q^(16))*x1^(9/2)*x2^(11/2)*x3^(5/2) + (q^(22) + q^(21) + q^(20) + q^(19))*x1^(9/2)*x2^(11/2)*x3^(7/2) + (-q^(23))*x1^(9/2)*x2^(11/2)*x3^(9/2)
(-1/2, -1/2, -3/2) (1, 1/2, 1) x1^(1/2)x2^(1/2)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, 1, 1]}
 
(-q^(-7))*x1^(1/2)*x2^(-7/2)*x3^(11/2) + (q^(-3))*x1^(1/2)*x2^(-5/2)*x3^(9/2) + (2*q^(-3) + 2*q^(-4) + 2*q^(-5) + 2*q^(-6))*x1^(1/2)*x2^(-5/2)*x3^(11/2) + (-1)*x1^(1/2)*x2^(-3/2)*x3^(7/2) + (-2*1 - 2*q^(-1) - 2*q^(-2))*x1^(1/2)*x2^(-3/2)*x3^(9/2) + (-3*1 - 4*q^(-1) - 8*q^(-2) - 5*q^(-3) - 4*q^(-4) - q^(-5))*x1^(1/2)*x2^(-3/2)*x3^(11/2) + (q^(2))*x1^(1/2)*x2^(-1/2)*x3^(5/2) + (2*q^(2) + 2*q)*x1^(1/2)*x2^(-1/2)*x3^(7/2) + (3*q^(2) + 5*q + 4*1 + q^(-1))*x1^(1/2)*x2^(-1/2)*x3^(9/2) + (5*q^(2) + 9*q + 11*1 + 10*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(1/2)*x2^(-1/2)*x3^(11/2) + (-q^(3))*x1^(1/2)*x2^(1/2)*x3^(3/2) + (-2*q^(3))*x1^(1/2)*x2^(1/2)*x3^(5/2) + (-4*q^(3) - q^(2))*x1^(1/2)*x2^(1/2)*x3^(7/2) + (-q^(4) - 7*q^(3) - 4*q^(2) - 2*q)*x1^(1/2)*x2^(1/2)*x3^(9/2) + (-q^(5) - 3*q^(4) - 13*q^(3) - 10*q^(2) - 9*q - 4*1 - q^(-1))*x1^(1/2)*x2^(1/2)*x3^(11/2) + (q^(4))*x1^(1/2)*x2^(3/2)*x3^(5/2) + (q^(5) + 2*q^(4))*x1^(1/2)*x2^(3/2)*x3^(7/2) + (q^(6) + 3*q^(5) + 4*q^(4) + q^(3))*x1^(1/2)*x2^(3/2)*x3^(9/2) + (2*q^(7) + 4*q^(6) + 7*q^(5) + 9*q^(4) + 4*q^(3) + 2*q^(2))*x1^(1/2)*x2^(3/2)*x3^(11/2) + (-q^(6))*x1^(1/2)*x2^(5/2)*x3^(7/2) + (-q^(8) - q^(7) - 2*q^(6))*x1^(1/2)*x2^(5/2)*x3^(9/2) + (-q^(10) - q^(9) - 4*q^(8) - 3*q^(7) - 4*q^(6) - q^(5))*x1^(1/2)*x2^(5/2)*x3^(11/2) + (q^(9))*x1^(1/2)*x2^(7/2)*x3^(9/2) + (q^(12) + q^(11) + q^(10) + 2*q^(9))*x1^(1/2)*x2^(7/2)*x3^(11/2) + (-q^(13))*x1^(1/2)*x2^(9/2)*x3^(11/2) + (-q^(-2) - q^(-3) - q^(-4) - q^(-5))*x1^(3/2)*x2^(-5/2)*x3^(11/2) + (q + 1 + q^(-1))*x1^(3/2)*x2^(-3/2)*x3^(9/2) + (q^(2) + 3*q + 5*1 + 7*q^(-1) + 5*q^(-2) + 3*q^(-3) + q^(-4))*x1^(3/2)*x2^(-3/2)*x3^(11/2) + (-q^(3) - q^(2))*x1^(3/2)*x2^(-1/2)*x3^(7/2) + (-q^(4) - 3*q^(3) - 5*q^(2) - 3*q - 1)*x1^(3/2)*x2^(-1/2)*x3^(9/2) + (-q^(5) - 3*q^(4) - 8*q^(3) - 14*q^(2) - 15*q - 12*1 - 5*q^(-1) - 2*q^(-2))*x1^(3/2)*x2^(-1/2)*x3^(11/2) + (q^(4))*x1^(3/2)*x2^(1/2)*x3^(5/2) + (q^(5) + 3*q^(4) + q^(3))*x1^(3/2)*x2^(1/2)*x3^(7/2) + (q^(6) + 3*q^(5) + 8*q^(4) + 6*q^(3) + 2*q^(2))*x1^(3/2)*x2^(1/2)*x3^(9/2) + (q^(7) + 3*q^(6) + 9*q^(5) + 19*q^(4) + 21*q^(3) + 15*q^(2) + 6*q + 1)*x1^(3/2)*x2^(1/2)*x3^(11/2) + (-q^(5))*x1^(3/2)*x2^(3/2)*x3^(5/2) + (-q^(6) - 3*q^(5))*x1^(3/2)*x2^(3/2)*x3^(7/2) + (-q^(7) - 4*q^(6) - 8*q^(5) - 2*q^(4))*x1^(3/2)*x2^(3/2)*x3^(9/2) + (-q^(8) - 5*q^(7) - 13*q^(6) - 20*q^(5) - 11*q^(4) - 4*q^(3))*x1^(3/2)*x2^(3/2)*x3^(11/2) + (q^(6))*x1^(3/2)*x2^(5/2)*x3^(7/2) + (3*q^(7) + 2*q^(6))*x1^(3/2)*x2^(5/2)*x3^(9/2) + (q^(9) + 6*q^(8) + 9*q^(7) + 6*q^(6) + q^(5))*x1^(3/2)*x2^(5/2)*x3^(11/2) + (-q^(8))*x1^(3/2)*x2^(7/2)*x3^(9/2) + (-2*q^(10) - 2*q^(9) - 2*q^(8))*x1^(3/2)*x2^(7/2)*x3^(11/2) + (q^(11))*x1^(3/2)*x2^(9/2)*x3^(11/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(5/2)*x2^(-3/2)*x3^(11/2) + (q^(5) + q^(4) + q^(3))*x1^(5/2)*x2^(-1/2)*x3^(9/2) + (q^(7) + 2*q^(6) + 5*q^(5) + 7*q^(4) + 7*q^(3) + 5*q^(2) + 2*q + 1)*x1^(5/2)*x2^(-1/2)*x3^(11/2) + (-q^(6))*x1^(5/2)*x2^(1/2)*x3^(7/2) + (-q^(8) - 2*q^(7) - 4*q^(6) - 2*q^(5) - q^(4))*x1^(5/2)*x2^(1/2)*x3^(9/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 15*q^(6) - 12*q^(5) - 9*q^(4) - 3*q^(3) - q^(2))*x1^(5/2)*x2^(1/2)*x3^(11/2) + (q^(8) + q^(7))*x1^(5/2)*x2^(3/2)*x3^(7/2) + (q^(10) + 2*q^(9) + 4*q^(8) + 4*q^(7) + q^(6))*x1^(5/2)*x2^(3/2)*x3^(9/2) + (q^(12) + 2*q^(11) + 5*q^(10) + 9*q^(9) + 14*q^(8) + 15*q^(7) + 8*q^(6) + 3*q^(5))*x1^(5/2)*x2^(3/2)*x3^(11/2) + (-q^(9))*x1^(5/2)*x2^(5/2)*x3^(7/2) + (-q^(11) - q^(10) - 3*q^(9) - q^(8))*x1^(5/2)*x2^(5/2)*x3^(9/2) + (-q^(13) - q^(12) - 4*q^(11) - 6*q^(10) - 11*q^(9) - 5*q^(8) - q^(7))*x1^(5/2)*x2^(5/2)*x3^(11/2) + (q^(10))*x1^(5/2)*x2^(7/2)*x3^(9/2) + (q^(12) + 3*q^(11) + 3*q^(10))*x1^(5/2)*x2^(7/2)*x3^(11/2) + (-q^(12))*x1^(5/2)*x2^(9/2)*x3^(11/2) + (-q^(8) - q^(7) - q^(6) - q^(5))*x1^(7/2)*x2^(-1/2)*x3^(11/2) + (q^(9))*x1^(7/2)*x2^(1/2)*x3^(9/2) + (q^(12) + 2*q^(11) + 3*q^(10) + 5*q^(9) + 3*q^(8) + 2*q^(7) + q^(6))*x1^(7/2)*x2^(1/2)*x3^(11/2) + (-q^(12) - q^(11) - q^(10))*x1^(7/2)*x2^(3/2)*x3^(9/2) + (-q^(15) - 2*q^(14) - 4*q^(13) - 6*q^(12) - 6*q^(11) - 6*q^(10) - 2*q^(9) - q^(8))*x1^(7/2)*x2^(3/2)*x3^(11/2) + (q^(14) + q^(13) + q^(12))*x1^(7/2)*x2^(5/2)*x3^(9/2) + (q^(17) + 2*q^(16) + 3*q^(15) + 5*q^(14) + 5*q^(13) + 4*q^(12) + 2*q^(11))*x1^(7/2)*x2^(5/2)*x3^(11/2) + (-q^(15))*x1^(7/2)*x2^(7/2)*x3^(9/2) + (-q^(18) - q^(17) - q^(16) - 3*q^(15) - q^(14) - q^(13))*x1^(7/2)*x2^(7/2)*x3^(11/2) + (q^(16))*x1^(7/2)*x2^(9/2)*x3^(11/2) + (-q^(13))*x1^(9/2)*x2^(1/2)*x3^(11/2) + (q^(17) + q^(16) + q^(15) + q^(14))*x1^(9/2)*x2^(3/2)*x3^(11/2) + (-q^(20) - q^(19) - 2*q^(18) - q^(17) - q^(16))*x1^(9/2)*x2^(5/2)*x3^(11/2) + (q^(22) + q^(21) + q^(20) + q^(19))*x1^(9/2)*x2^(7/2)*x3^(11/2) + (-q^(23))*x1^(9/2)*x2^(9/2)*x3^(11/2)
(1/2, 3/2, 1/2) x1^(-1/2)x2^(-3/2)x3^(-1/2) q^(3) 
(-q^(3))*x1^(-1/2)*x2^(-3/2)*x3^(-1/2) + (q^(2))*x1^(-1/2)*x2^(-5/2)*x3^(1/2) + (-2*q^(3))*x1^(-1/2)*x2^(-5/2)*x3^(-1/2) + (q^(4))*x1^(-1/2)*x2^(-5/2)*x3^(-3/2) + (-1)*x1^(-1/2)*x2^(-7/2)*x3^(3/2) + (2*q^(2) + 2*q)*x1^(-1/2)*x2^(-7/2)*x3^(1/2) + (-4*q^(3) - q^(2))*x1^(-1/2)*x2^(-7/2)*x3^(-1/2) + (q^(5) + 2*q^(4))*x1^(-1/2)*x2^(-7/2)*x3^(-3/2) + (-q^(6))*x1^(-1/2)*x2^(-7/2)*x3^(-5/2) + (q^(-3))*x1^(-1/2)*x2^(-9/2)*x3^(5/2) + (-2*1 - 2*q^(-1) - 2*q^(-2))*x1^(-1/2)*x2^(-9/2)*x3^(3/2) + (3*q^(2) + 5*q + 4*1 + q^(-1))*x1^(-1/2)*x2^(-9/2)*x3^(1/2) + (-q^(4) - 7*q^(3) - 4*q^(2) - 2*q)*x1^(-1/2)*x2^(-9/2)*x3^(-1/2) + (q^(6) + 3*q^(5) + 4*q^(4) + q^(3))*x1^(-1/2)*x2^(-9/2)*x3^(-3/2) + (-q^(8) - q^(7) - 2*q^(6))*x1^(-1/2)*x2^(-9/2)*x3^(-5/2) + (q^(9))*x1^(-1/2)*x2^(-9/2)*x3^(-7/2) + (-q^(-7))*x1^(-1/2)*x2^(-11/2)*x3^(7/2) + (2*q^(-3) + 2*q^(-4) + 2*q^(-5) + 2*q^(-6))*x1^(-1/2)*x2^(-11/2)*x3^(5/2) + (-3*1 - 4*q^(-1) - 8*q^(-2) - 5*q^(-3) - 4*q^(-4) - q^(-5))*x1^(-1/2)*x2^(-11/2)*x3^(3/2) + (5*q^(2) + 9*q + 11*1 + 10*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(-1/2)*x2^(-11/2)*x3^(1/2) + (-q^(5) - 3*q^(4) - 13*q^(3) - 10*q^(2) - 9*q - 4*1 - q^(-1))*x1^(-1/2)*x2^(-11/2)*x3^(-1/2) + (2*q^(7) + 4*q^(6) + 7*q^(5) + 9*q^(4) + 4*q^(3) + 2*q^(2))*x1^(-1/2)*x2^(-11/2)*x3^(-3/2) + (-q^(10) - q^(9) - 4*q^(8) - 3*q^(7) - 4*q^(6) - q^(5))*x1^(-1/2)*x2^(-11/2)*x3^(-5/2) + (q^(12) + q^(11) + q^(10) + 2*q^(9))*x1^(-1/2)*x2^(-11/2)*x3^(-7/2) + (-q^(13))*x1^(-1/2)*x2^(-11/2)*x3^(-9/2) + (q^(4))*x1^(-3/2)*x2^(-5/2)*x3^(-1/2) + (-q^(5))*x1^(-3/2)*x2^(-5/2)*x3^(-3/2) + (-q^(3) - q^(2))*x1^(-3/2)*x2^(-7/2)*x3^(1/2) + (q^(5) + 3*q^(4) + q^(3))*x1^(-3/2)*x2^(-7/2)*x3^(-1/2) + (-q^(6) - 3*q^(5))*x1^(-3/2)*x2^(-7/2)*x3^(-3/2) + (q^(6))*x1^(-3/2)*x2^(-7/2)*x3^(-5/2) + (q + 1 + q^(-1))*x1^(-3/2)*x2^(-9/2)*x3^(3/2) + (-q^(4) - 3*q^(3) - 5*q^(2) - 3*q - 1)*x1^(-3/2)*x2^(-9/2)*x3^(1/2) + (q^(6) + 3*q^(5) + 8*q^(4) + 6*q^(3) + 2*q^(2))*x1^(-3/2)*x2^(-9/2)*x3^(-1/2) + (-q^(7) - 4*q^(6) - 8*q^(5) - 2*q^(4))*x1^(-3/2)*x2^(-9/2)*x3^(-3/2) + (3*q^(7) + 2*q^(6))*x1^(-3/2)*x2^(-9/2)*x3^(-5/2) + (-q^(8))*x1^(-3/2)*x2^(-9/2)*x3^(-7/2) + (-q^(-2) - q^(-3) - q^(-4) - q^(-5))*x1^(-3/2)*x2^(-11/2)*x3^(5/2) + (q^(2) + 3*q + 5*1 + 7*q^(-1) + 5*q^(-2) + 3*q^(-3) + q^(-4))*x1^(-3/2)*x2^(-11/2)*x3^(3/2) + (-q^(5) - 3*q^(4) - 8*q^(3) - 14*q^(2) - 15*q - 12*1 - 5*q^(-1) - 2*q^(-2))*x1^(-3/2)*x2^(-11/2)*x3^(1/2) + (q^(7) + 3*q^(6) + 9*q^(5) + 19*q^(4) + 21*q^(3) + 15*q^(2) + 6*q + 1)*x1^(-3/2)*x2^(-11/2)*x3^(-1/2) + (-q^(8) - 5*q^(7) - 13*q^(6) - 20*q^(5) - 11*q^(4) - 4*q^(3))*x1^(-3/2)*x2^(-11/2)*x3^(-3/2) + (q^(9) + 6*q^(8) + 9*q^(7) + 6*q^(6) + q^(5))*x1^(-3/2)*x2^(-11/2)*x3^(-5/2) + (-2*q^(10) - 2*q^(9) - 2*q^(8))*x1^(-3/2)*x2^(-11/2)*x3^(-7/2) + (q^(11))*x1^(-3/2)*x2^(-11/2)*x3^(-9/2) + (-q^(6))*x1^(-5/2)*x2^(-7/2)*x3^(-1/2) + (q^(8) + q^(7))*x1^(-5/2)*x2^(-7/2)*x3^(-3/2) + (-q^(9))*x1^(-5/2)*x2^(-7/2)*x3^(-5/2) + (q^(5) + q^(4) + q^(3))*x1^(-5/2)*x2^(-9/2)*x3^(1/2) + (-q^(8) - 2*q^(7) - 4*q^(6) - 2*q^(5) - q^(4))*x1^(-5/2)*x2^(-9/2)*x3^(-1/2) + (q^(10) + 2*q^(9) + 4*q^(8) + 4*q^(7) + q^(6))*x1^(-5/2)*x2^(-9/2)*x3^(-3/2) + (-q^(11) - q^(10) - 3*q^(9) - q^(8))*x1^(-5/2)*x2^(-9/2)*x3^(-5/2) + (q^(10))*x1^(-5/2)*x2^(-9/2)*x3^(-7/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(-5/2)*x2^(-11/2)*x3^(3/2) + (q^(7) + 2*q^(6) + 5*q^(5) + 7*q^(4) + 7*q^(3) + 5*q^(2) + 2*q + 1)*x1^(-5/2)*x2^(-11/2)*x3^(1/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 15*q^(6) - 12*q^(5) - 9*q^(4) - 3*q^(3) - q^(2))*x1^(-5/2)*x2^(-11/2)*x3^(-1/2) + (q^(12) + 2*q^(11) + 5*q^(10) + 9*q^(9) + 14*q^(8) + 15*q^(7) + 8*q^(6) + 3*q^(5))*x1^(-5/2)*x2^(-11/2)*x3^(-3/2) + (-q^(13) - q^(12) - 4*q^(11) - 6*q^(10) - 11*q^(9) - 5*q^(8) - q^(7))*x1^(-5/2)*x2^(-11/2)*x3^(-5/2) + (q^(12) + 3*q^(11) + 3*q^(10))*x1^(-5/2)*x2^(-11/2)*x3^(-7/2) + (-q^(12))*x1^(-5/2)*x2^(-11/2)*x3^(-9/2) + (q^(9))*x1^(-7/2)*x2^(-9/2)*x3^(-1/2) + (-q^(12) - q^(11) - q^(10))*x1^(-7/2)*x2^(-9/2)*x3^(-3/2) + (q^(14) + q^(13) + q^(12))*x1^(-7/2)*x2^(-9/2)*x3^(-5/2) + (-q^(15))*x1^(-7/2)*x2^(-9/2)*x3^(-7/2) + (-q^(8) - q^(7) - q^(6) - q^(5))*x1^(-7/2)*x2^(-11/2)*x3^(1/2) + (q^(12) + 2*q^(11) + 3*q^(10) + 5*q^(9) + 3*q^(8) + 2*q^(7) + q^(6))*x1^(-7/2)*x2^(-11/2)*x3^(-1/2) + (-q^(15) - 2*q^(14) - 4*q^(13) - 6*q^(12) - 6*q^(11) - 6*q^(10) - 2*q^(9) - q^(8))*x1^(-7/2)*x2^(-11/2)*x3^(-3/2) + (q^(17) + 2*q^(16) + 3*q^(15) + 5*q^(14) + 5*q^(13) + 4*q^(12) + 2*q^(11))*x1^(-7/2)*x2^(-11/2)*x3^(-5/2) + (-q^(18) - q^(17) - q^(16) - 3*q^(15) - q^(14) - q^(13))*x1^(-7/2)*x2^(-11/2)*x3^(-7/2) + (q^(16))*x1^(-7/2)*x2^(-11/2)*x3^(-9/2) + (-q^(13))*x1^(-9/2)*x2^(-11/2)*x3^(-1/2) + (q^(17) + q^(16) + q^(15) + q^(14))*x1^(-9/2)*x2^(-11/2)*x3^(-3/2) + (-q^(20) - q^(19) - 2*q^(18) - q^(17) - q^(16))*x1^(-9/2)*x2^(-11/2)*x3^(-5/2) + (q^(22) + q^(21) + q^(20) + q^(19))*x1^(-9/2)*x2^(-11/2)*x3^(-7/2) + (-q^(23))*x1^(-9/2)*x2^(-11/2)*x3^(-9/2)
(1/2, 1/2, 3/2) x1^(-1/2)x2^(-1/2)x3^(-3/2) q^(3) 
(-q^(-7))*x1^(-1/2)*x2^(7/2)*x3^(-11/2) + (q^(-3))*x1^(-1/2)*x2^(5/2)*x3^(-9/2) + (2*q^(-3) + 2*q^(-4) + 2*q^(-5) + 2*q^(-6))*x1^(-1/2)*x2^(5/2)*x3^(-11/2) + (-1)*x1^(-1/2)*x2^(3/2)*x3^(-7/2) + (-2*1 - 2*q^(-1) - 2*q^(-2))*x1^(-1/2)*x2^(3/2)*x3^(-9/2) + (-3*1 - 4*q^(-1) - 8*q^(-2) - 5*q^(-3) - 4*q^(-4) - q^(-5))*x1^(-1/2)*x2^(3/2)*x3^(-11/2) + (q^(2))*x1^(-1/2)*x2^(1/2)*x3^(-5/2) + (2*q^(2) + 2*q)*x1^(-1/2)*x2^(1/2)*x3^(-7/2) + (3*q^(2) + 5*q + 4*1 + q^(-1))*x1^(-1/2)*x2^(1/2)*x3^(-9/2) + (5*q^(2) + 9*q + 11*1 + 10*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(-1/2)*x2^(1/2)*x3^(-11/2) + (-q^(3))*x1^(-1/2)*x2^(-1/2)*x3^(-3/2) + (-2*q^(3))*x1^(-1/2)*x2^(-1/2)*x3^(-5/2) + (-4*q^(3) - q^(2))*x1^(-1/2)*x2^(-1/2)*x3^(-7/2) + (-q^(4) - 7*q^(3) - 4*q^(2) - 2*q)*x1^(-1/2)*x2^(-1/2)*x3^(-9/2) + (-q^(5) - 3*q^(4) - 13*q^(3) - 10*q^(2) - 9*q - 4*1 - q^(-1))*x1^(-1/2)*x2^(-1/2)*x3^(-11/2) + (q^(4))*x1^(-1/2)*x2^(-3/2)*x3^(-5/2) + (q^(5) + 2*q^(4))*x1^(-1/2)*x2^(-3/2)*x3^(-7/2) + (q^(6) + 3*q^(5) + 4*q^(4) + q^(3))*x1^(-1/2)*x2^(-3/2)*x3^(-9/2) + (2*q^(7) + 4*q^(6) + 7*q^(5) + 9*q^(4) + 4*q^(3) + 2*q^(2))*x1^(-1/2)*x2^(-3/2)*x3^(-11/2) + (-q^(6))*x1^(-1/2)*x2^(-5/2)*x3^(-7/2) + (-q^(8) - q^(7) - 2*q^(6))*x1^(-1/2)*x2^(-5/2)*x3^(-9/2) + (-q^(10) - q^(9) - 4*q^(8) - 3*q^(7) - 4*q^(6) - q^(5))*x1^(-1/2)*x2^(-5/2)*x3^(-11/2) + (q^(9))*x1^(-1/2)*x2^(-7/2)*x3^(-9/2) + (q^(12) + q^(11) + q^(10) + 2*q^(9))*x1^(-1/2)*x2^(-7/2)*x3^(-11/2) + (-q^(13))*x1^(-1/2)*x2^(-9/2)*x3^(-11/2) + (-q^(-2) - q^(-3) - q^(-4) - q^(-5))*x1^(-3/2)*x2^(5/2)*x3^(-11/2) + (q + 1 + q^(-1))*x1^(-3/2)*x2^(3/2)*x3^(-9/2) + (q^(2) + 3*q + 5*1 + 7*q^(-1) + 5*q^(-2) + 3*q^(-3) + q^(-4))*x1^(-3/2)*x2^(3/2)*x3^(-11/2) + (-q^(3) - q^(2))*x1^(-3/2)*x2^(1/2)*x3^(-7/2) + (-q^(4) - 3*q^(3) - 5*q^(2) - 3*q - 1)*x1^(-3/2)*x2^(1/2)*x3^(-9/2) + (-q^(5) - 3*q^(4) - 8*q^(3) - 14*q^(2) - 15*q - 12*1 - 5*q^(-1) - 2*q^(-2))*x1^(-3/2)*x2^(1/2)*x3^(-11/2) + (q^(4))*x1^(-3/2)*x2^(-1/2)*x3^(-5/2) + (q^(5) + 3*q^(4) + q^(3))*x1^(-3/2)*x2^(-1/2)*x3^(-7/2) + (q^(6) + 3*q^(5) + 8*q^(4) + 6*q^(3) + 2*q^(2))*x1^(-3/2)*x2^(-1/2)*x3^(-9/2) + (q^(7) + 3*q^(6) + 9*q^(5) + 19*q^(4) + 21*q^(3) + 15*q^(2) + 6*q + 1)*x1^(-3/2)*x2^(-1/2)*x3^(-11/2) + (-q^(5))*x1^(-3/2)*x2^(-3/2)*x3^(-5/2) + (-q^(6) - 3*q^(5))*x1^(-3/2)*x2^(-3/2)*x3^(-7/2) + (-q^(7) - 4*q^(6) - 8*q^(5) - 2*q^(4))*x1^(-3/2)*x2^(-3/2)*x3^(-9/2) + (-q^(8) - 5*q^(7) - 13*q^(6) - 20*q^(5) - 11*q^(4) - 4*q^(3))*x1^(-3/2)*x2^(-3/2)*x3^(-11/2) + (q^(6))*x1^(-3/2)*x2^(-5/2)*x3^(-7/2) + (3*q^(7) + 2*q^(6))*x1^(-3/2)*x2^(-5/2)*x3^(-9/2) + (q^(9) + 6*q^(8) + 9*q^(7) + 6*q^(6) + q^(5))*x1^(-3/2)*x2^(-5/2)*x3^(-11/2) + (-q^(8))*x1^(-3/2)*x2^(-7/2)*x3^(-9/2) + (-2*q^(10) - 2*q^(9) - 2*q^(8))*x1^(-3/2)*x2^(-7/2)*x3^(-11/2) + (q^(11))*x1^(-3/2)*x2^(-9/2)*x3^(-11/2) + (-q^(3) - q^(2) - 2*q - 1 - q^(-1))*x1^(-5/2)*x2^(3/2)*x3^(-11/2) + (q^(5) + q^(4) + q^(3))*x1^(-5/2)*x2^(1/2)*x3^(-9/2) + (q^(7) + 2*q^(6) + 5*q^(5) + 7*q^(4) + 7*q^(3) + 5*q^(2) + 2*q + 1)*x1^(-5/2)*x2^(1/2)*x3^(-11/2) + (-q^(6))*x1^(-5/2)*x2^(-1/2)*x3^(-7/2) + (-q^(8) - 2*q^(7) - 4*q^(6) - 2*q^(5) - q^(4))*x1^(-5/2)*x2^(-1/2)*x3^(-9/2) + (-q^(10) - 2*q^(9) - 6*q^(8) - 9*q^(7) - 15*q^(6) - 12*q^(5) - 9*q^(4) - 3*q^(3) - q^(2))*x1^(-5/2)*x2^(-1/2)*x3^(-11/2) + (q^(8) + q^(7))*x1^(-5/2)*x2^(-3/2)*x3^(-7/2) + (q^(10) + 2*q^(9) + 4*q^(8) + 4*q^(7) + q^(6))*x1^(-5/2)*x2^(-3/2)*x3^(-9/2) + (q^(12) + 2*q^(11) + 5*q^(10) + 9*q^(9) + 14*q^(8) + 15*q^(7) + 8*q^(6) + 3*q^(5))*x1^(-5/2)*x2^(-3/2)*x3^(-11/2) + (-q^(9))*x1^(-5/2)*x2^(-5/2)*x3^(-7/2) + (-q^(11) - q^(10) - 3*q^(9) - q^(8))*x1^(-5/2)*x2^(-5/2)*x3^(-9/2) + (-q^(13) - q^(12) - 4*q^(11) - 6*q^(10) - 11*q^(9) - 5*q^(8) - q^(7))*x1^(-5/2)*x2^(-5/2)*x3^(-11/2) + (q^(10))*x1^(-5/2)*x2^(-7/2)*x3^(-9/2) + (q^(12) + 3*q^(11) + 3*q^(10))*x1^(-5/2)*x2^(-7/2)*x3^(-11/2) + (-q^(12))*x1^(-5/2)*x2^(-9/2)*x3^(-11/2) + (-q^(8) - q^(7) - q^(6) - q^(5))*x1^(-7/2)*x2^(1/2)*x3^(-11/2) + (q^(9))*x1^(-7/2)*x2^(-1/2)*x3^(-9/2) + (q^(12) + 2*q^(11) + 3*q^(10) + 5*q^(9) + 3*q^(8) + 2*q^(7) + q^(6))*x1^(-7/2)*x2^(-1/2)*x3^(-11/2) + (-q^(12) - q^(11) - q^(10))*x1^(-7/2)*x2^(-3/2)*x3^(-9/2) + (-q^(15) - 2*q^(14) - 4*q^(13) - 6*q^(12) - 6*q^(11) - 6*q^(10) - 2*q^(9) - q^(8))*x1^(-7/2)*x2^(-3/2)*x3^(-11/2) + (q^(14) + q^(13) + q^(12))*x1^(-7/2)*x2^(-5/2)*x3^(-9/2) + (q^(17) + 2*q^(16) + 3*q^(15) + 5*q^(14) + 5*q^(13) + 4*q^(12) + 2*q^(11))*x1^(-7/2)*x2^(-5/2)*x3^(-11/2) + (-q^(15))*x1^(-7/2)*x2^(-7/2)*x3^(-9/2) + (-q^(18) - q^(17) - q^(16) - 3*q^(15) - q^(14) - q^(13))*x1^(-7/2)*x2^(-7/2)*x3^(-11/2) + (q^(16))*x1^(-7/2)*x2^(-9/2)*x3^(-11/2) + (-q^(13))*x1^(-9/2)*x2^(-1/2)*x3^(-11/2) + (q^(17) + q^(16) + q^(15) + q^(14))*x1^(-9/2)*x2^(-3/2)*x3^(-11/2) + (-q^(20) - q^(19) - 2*q^(18) - q^(17) - q^(16))*x1^(-9/2)*x2^(-5/2)*x3^(-11/2) + (q^(22) + q^(21) + q^(20) + q^(19))*x1^(-9/2)*x2^(-7/2)*x3^(-11/2) + (-q^(23))*x1^(-9/2)*x2^(-9/2)*x3^(-11/2)

Braid

Braid word Components Crossings Strands
[2, -3, 2, 1, 2, 2, 3, 3, 3, 3, 1] 3 11 4

Multivariable Alexander polynomial

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

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, 1, -1) yes
(-1, 1, 1) yes
(1, 1, 3) yes
(1, 3, 1) yes
(1, -1, 1) yes
(-1, -1, 1) yes
(1, -1, -1) yes
(-1, -1, -3) yes
(1, 1, -1) yes
(-1, -3, -1) yes
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HFL polytope

Poincaré polynomial
m^(-8)*A1^(-1)*A2^(-2)*A3^(-1) + m^(-8)*A1^(-1)*A2^(-1)*A3^(-2) + m^(-7)*A1^(-1)*A2^(-2) + 4*m^(-7)*A1^(-1)*A2^(-1)*A3^(-1) + m^(-7)*A1^(-1)*A3^(-2) + m^(-7)*A2^(-2)*A3^(-1) + m^(-7)*A2^(-1)*A3^(-2) + 4*m^(-6)*A1^(-1)*A2^(-1) + 4*m^(-6)*A1^(-1)*A3^(-1) + m^(-6)*A2^(-2) + 5*m^(-6)*A2^(-1)*A3^(-1) + m^(-6)*A3^(-2) + m^(-5)*A1^(-1)*A2^(-1)*A3 + 5*m^(-5)*A1^(-1) + m^(-5)*A1^(-1)*A2*A3^(-1) + 6*m^(-5)*A2^(-1) + 6*m^(-5)*A3^(-1) + m^(-5)*A1*A2^(-1)*A3^(-1) + 2*m^(-4)*A1^(-1)*A3 + 2*m^(-4)*A1^(-1)*A2 + 2*m^(-4)*A2^(-1)*A3 + 10*m^(-4) + 2*m^(-4)*A2*A3^(-1) + 2*m^(-4)*A1*A2^(-1) + 2*m^(-4)*A1*A3^(-1) + m^(-3)*A1^(-1)*A2*A3 + 6*m^(-3)*A3 + 6*m^(-3)*A2 + m^(-3)*A1*A2^(-1)*A3 + 5*m^(-3)*A1 + m^(-3)*A1*A2*A3^(-1) + m^(-2)*A3^2 + 5*m^(-2)*A2*A3 + m^(-2)*A2^2 + 4*m^(-2)*A1*A3 + 4*m^(-2)*A1*A2 + m^(-1)*A2*A3^2 + m^(-1)*A2^2*A3 + m^(-1)*A1*A3^2 + 4*m^(-1)*A1*A2*A3 + m^(-1)*A1*A2^2 + A1*A2*A3^2 + A1*A2^2*A3
VertexMaslovRank
(-1, -2, -1)-81
(-1, -2, 0)-71
(-1, -1, -2)-81
(-1, -1, 1)-51
(-1, 0, -2)-71
(-1, 1, -1)-51
(-1, 1, 1)-31
(0, -2, -1)-71
(0, -2, 0)-61
(0, -1, -2)-71
(0, 0, -2)-61
(0, 0, 2)-21
(0, 1, 2)-11
(0, 2, 0)-21
(0, 2, 1)-11
(1, -1, -1)-51
(1, -1, 1)-31
(1, 0, 2)-11
(1, 1, -1)-31
(1, 1, 2)01
(1, 2, 0)-11
(1, 2, 1)01
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Record

FL/HFL Links

orderOption(int) 2207
namestring L10n75{1;0}
statusstring success
slugstring L10n75_1_0_9a734888
result_filestring details/L10n75_1_0_9a734888.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) 0.003142
backend_secondsOption(float) 0.0
errorstring
dimensionOption(int) 3
support_sizeOption(int) 43
vertex_countOption(int) 22
fibered_vertex_countOption(int) 10
polytope_statusstring computed
alexander_support_sizeOption(int) 12
alexander_vertex_countOption(int) 10
alexander_relationstring not_computed
fk_countint 4
detailsRowRef(FLHFLLinks) 
{
  "dataset": "FLHFLLinks",
  "key": "L10n75_1_0_9a734888"
}
detail_assetstring /api/v1/datasets/FLHFLLinks/assets/L10n75_1_0_9a734888