L8a20{1;0} - HFL and FL

details/L8a20_1_0_3f3d8d2a.json

F_L expansions

Newt(Δ_L) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle F_L

Newt(Δ_L) vertex	Exposing functional	Leading x-power	Leading q-power	Inversion datum	F_L
`(-1/2, -3/2, -1/2)`	`(1, 1, 1)`	`x1^(1/2)x2^(3/2)x3^(1/2)`	`q^(0)`	`{"0": [-1, -1, 1, -1, -1, -1, 1, -1], "1": [-1, -1, -1, -1], "2": [1, -1, 1, -1]}`	(-1)x1^(1/2)x2^(3/2)x3^(1/2) + (-21)x1^(1/2)x2^(5/2)x3^(1/2) + (2q)x1^(1/2)x2^(5/2)x3^(3/2) + (2q^(-1))x1^(3/2)x2^(5/2)x3^(1/2) + (-1)x1^(3/2)x2^(5/2)x3^(3/2) + (-31)x1^(1/2)x2^(7/2)x3^(1/2) + (2q^(2) + 4q)x1^(1/2)x2^(7/2)x3^(3/2) + (-3q^(3) - q^(2))x1^(1/2)x2^(7/2)x3^(5/2) + (4q^(-1) + 2q^(-2))x1^(3/2)x2^(7/2)x3^(1/2) + (-2q - 61 - 2q^(-1))x1^(3/2)x2^(7/2)x3^(3/2) + (2q^(2) + 2q)x1^(3/2)x2^(7/2)x3^(5/2) + (-q^(-2) - 3q^(-3))x1^(5/2)x2^(7/2)x3^(1/2) + (2q^(-1) + 2q^(-2))x1^(5/2)x2^(7/2)x3^(3/2) + (-1)x1^(5/2)x2^(7/2)x3^(5/2) + (-41)x1^(1/2)x2^(9/2)x3^(1/2) + (2q^(3) + 4q^(2) + 6q)x1^(1/2)x2^(9/2)x3^(3/2) + (-2q^(5) - 4q^(4) - 8q^(3) - 2q^(2))x1^(1/2)x2^(9/2)x3^(5/2) + (4q^(6) + 2q^(5) + 2q^(4))x1^(1/2)x2^(9/2)x3^(7/2) + (6q^(-1) + 4q^(-2) + 2q^(-3))x1^(3/2)x2^(9/2)x3^(1/2) + (-2q^(2) - 8q - 151 - 8q^(-1) - 2q^(-2))x1^(3/2)x2^(9/2)x3^(3/2) + (2q^(4) + 6q^(3) + 14q^(2) + 10q + 41)x1^(3/2)x2^(9/2)x3^(5/2) + (-3q^(5) - 4q^(4) - 4q^(3) - q^(2))x1^(3/2)x2^(9/2)x3^(7/2) + (-2q^(-2) - 8q^(-3) - 4q^(-4) - 2q^(-5))x1^(5/2)x2^(9/2)x3^(1/2) + (41 + 10q^(-1) + 14q^(-2) + 6q^(-3) + 2q^(-4))x1^(5/2)x2^(9/2)x3^(3/2) + (-2q^(2) - 6q - 101 - 6q^(-1) - 2q^(-2))x1^(5/2)x2^(9/2)x3^(5/2) + (2q^(3) + 2q^(2) + 2q)x1^(5/2)x2^(9/2)x3^(7/2) + (2q^(-4) + 2q^(-5) + 4q^(-6))x1^(7/2)x2^(9/2)x3^(1/2) + (-q^(-2) - 4q^(-3) - 4q^(-4) - 3q^(-5))x1^(7/2)x2^(9/2)x3^(3/2) + (2q^(-1) + 2q^(-2) + 2q^(-3))x1^(7/2)x2^(9/2)x3^(5/2) + (-1)x1^(7/2)x2^(9/2)x3^(7/2) + (-51)x1^(1/2)x2^(11/2)x3^(1/2) + (2q^(4) + 4q^(3) + 6q^(2) + 8q)x1^(1/2)x2^(11/2)x3^(3/2) + (-2q^(7) - 2q^(6) - 9q^(5) - 11q^(4) - 13q^(3) - 3q^(2))x1^(1/2)x2^(11/2)x3^(5/2) + (2q^(9) + 4q^(8) + 8q^(7) + 14q^(6) + 8q^(5) + 4q^(4))x1^(1/2)x2^(11/2)x3^(7/2) + (-5q^(10) - 3q^(9) - 4q^(8) - 3q^(7) - q^(6))x1^(1/2)x2^(11/2)x3^(9/2) + (8q^(-1) + 6q^(-2) + 4q^(-3) + 2q^(-4))x1^(3/2)x2^(11/2)x3^(1/2) + (-2q^(3) - 8q^(2) - 18q - 281 - 18q^(-1) - 8q^(-2) - 2q^(-3))x1^(3/2)x2^(11/2)x3^(3/2) + (2q^(6) + 4q^(5) + 16q^(4) + 30q^(3) + 42q^(2) + 32q + 141 + 4q^(-1))x1^(3/2)x2^(11/2)x3^(5/2) + (-2q^(8) - 6q^(7) - 14q^(6) - 28q^(5) - 28q^(4) - 22q^(3) - 10q^(2) - 2q)x1^(3/2)x2^(11/2)x3^(7/2) + (4q^(9) + 6q^(8) + 8q^(7) + 8q^(6) + 4q^(5) + 2q^(4))x1^(3/2)x2^(11/2)x3^(9/2) + (-3q^(-2) - 13q^(-3) - 11q^(-4) - 9q^(-5) - 2q^(-6) - 2q^(-7))x1^(5/2)x2^(11/2)x3^(1/2) + (4q + 141 + 32q^(-1) + 42q^(-2) + 30q^(-3) + 16q^(-4) + 4q^(-5) + 2q^(-6))x1^(5/2)x2^(11/2)x3^(3/2) + (-2q^(4) - 7q^(3) - 23q^(2) - 39q - 531 - 39q^(-1) - 23q^(-2) - 7q^(-3) - 2q^(-4))x1^(5/2)x2^(11/2)x3^(5/2) + (2q^(6) + 6q^(5) + 16q^(4) + 26q^(3) + 28q^(2) + 22q + 101 + 4q^(-1))x1^(5/2)x2^(11/2)x3^(7/2) + (-3q^(7) - 4q^(6) - 7q^(5) - 5q^(4) - 4q^(3) - q^(2))x1^(5/2)x2^(11/2)x3^(9/2) + (4q^(-4) + 8q^(-5) + 14q^(-6) + 8q^(-7) + 4q^(-8) + 2q^(-9))x1^(7/2)x2^(11/2)x3^(1/2) + (-2q^(-1) - 10q^(-2) - 22q^(-3) - 28q^(-4) - 28q^(-5) - 14q^(-6) - 6q^(-7) - 2q^(-8))x1^(7/2)x2^(11/2)x3^(3/2) + (4q + 101 + 22q^(-1) + 28q^(-2) + 26q^(-3) + 16q^(-4) + 6q^(-5) + 2q^(-6))x1^(7/2)x2^(11/2)x3^(5/2) + (-2q^(3) - 6q^(2) - 10q - 141 - 10q^(-1) - 6q^(-2) - 2q^(-3))x1^(7/2)x2^(11/2)x3^(7/2) + (2q^(4) + 2q^(3) + 2q^(2) + 2q)x1^(7/2)x2^(11/2)x3^(9/2) + (-q^(-6) - 3q^(-7) - 4q^(-8) - 3q^(-9) - 5q^(-10))x1^(9/2)x2^(11/2)x3^(1/2) + (2q^(-4) + 4q^(-5) + 8q^(-6) + 8q^(-7) + 6q^(-8) + 4q^(-9))x1^(9/2)x2^(11/2)x3^(3/2) + (-q^(-2) - 4q^(-3) - 5q^(-4) - 7q^(-5) - 4q^(-6) - 3q^(-7))x1^(9/2)x2^(11/2)x3^(5/2) + (2q^(-1) + 2q^(-2) + 2q^(-3) + 2q^(-4))x1^(9/2)x2^(11/2)x3^(7/2) + (-1)x1^(9/2)x2^(11/2)*x3^(9/2)
`(-1/2, -3/2, -1/2)`	`(1, 1, 1)`	`x1^(1/2)x2^(3/2)x3^(1/2)`	`q^(0)`	`{"0": [1, -1, 1, -1, 1, -1, 1, -1], "1": [-1, 1, -1, 1], "2": [1, -1, 1, -1]}`	(-1)x1^(1/2)x2^(3/2)x3^(1/2) + (-21)x1^(1/2)x2^(5/2)x3^(1/2) + (2q)x1^(1/2)x2^(5/2)x3^(3/2) + (2q^(-1))x1^(3/2)x2^(5/2)x3^(1/2) + (-1)x1^(3/2)x2^(5/2)x3^(3/2) + (-31)x1^(1/2)x2^(7/2)x3^(1/2) + (2q^(2) + 4q)x1^(1/2)x2^(7/2)x3^(3/2) + (-3q^(3) - q^(2))x1^(1/2)x2^(7/2)x3^(5/2) + (4q^(-1) + 2q^(-2))x1^(3/2)x2^(7/2)x3^(1/2) + (-2q - 61 - 2q^(-1))x1^(3/2)x2^(7/2)x3^(3/2) + (2q^(2) + 2q)x1^(3/2)x2^(7/2)x3^(5/2) + (-q^(-2) - 3q^(-3))x1^(5/2)x2^(7/2)x3^(1/2) + (2q^(-1) + 2q^(-2))x1^(5/2)x2^(7/2)x3^(3/2) + (-1)x1^(5/2)x2^(7/2)x3^(5/2) + (-41)x1^(1/2)x2^(9/2)x3^(1/2) + (2q^(3) + 4q^(2) + 6q)x1^(1/2)x2^(9/2)x3^(3/2) + (-2q^(5) - 4q^(4) - 8q^(3) - 2q^(2))x1^(1/2)x2^(9/2)x3^(5/2) + (4q^(6) + 2q^(5) + 2q^(4))x1^(1/2)x2^(9/2)x3^(7/2) + (6q^(-1) + 4q^(-2) + 2q^(-3))x1^(3/2)x2^(9/2)x3^(1/2) + (-2q^(2) - 8q - 151 - 8q^(-1) - 2q^(-2))x1^(3/2)x2^(9/2)x3^(3/2) + (2q^(4) + 6q^(3) + 14q^(2) + 10q + 41)x1^(3/2)x2^(9/2)x3^(5/2) + (-3q^(5) - 4q^(4) - 4q^(3) - q^(2))x1^(3/2)x2^(9/2)x3^(7/2) + (-2q^(-2) - 8q^(-3) - 4q^(-4) - 2q^(-5))x1^(5/2)x2^(9/2)x3^(1/2) + (41 + 10q^(-1) + 14q^(-2) + 6q^(-3) + 2q^(-4))x1^(5/2)x2^(9/2)x3^(3/2) + (-2q^(2) - 6q - 101 - 6q^(-1) - 2q^(-2))x1^(5/2)x2^(9/2)x3^(5/2) + (2q^(3) + 2q^(2) + 2q)x1^(5/2)x2^(9/2)x3^(7/2) + (2q^(-4) + 2q^(-5) + 4q^(-6))x1^(7/2)x2^(9/2)x3^(1/2) + (-q^(-2) - 4q^(-3) - 4q^(-4) - 3q^(-5))x1^(7/2)x2^(9/2)x3^(3/2) + (2q^(-1) + 2q^(-2) + 2q^(-3))x1^(7/2)x2^(9/2)x3^(5/2) + (-1)x1^(7/2)x2^(9/2)x3^(7/2) + (-51)x1^(1/2)x2^(11/2)x3^(1/2) + (2q^(4) + 4q^(3) + 6q^(2) + 8q)x1^(1/2)x2^(11/2)x3^(3/2) + (-2q^(7) - 2q^(6) - 9q^(5) - 11q^(4) - 13q^(3) - 3q^(2))x1^(1/2)x2^(11/2)x3^(5/2) + (2q^(9) + 4q^(8) + 8q^(7) + 14q^(6) + 8q^(5) + 4q^(4))x1^(1/2)x2^(11/2)x3^(7/2) + (-5q^(10) - 3q^(9) - 4q^(8) - 3q^(7) - q^(6))x1^(1/2)x2^(11/2)x3^(9/2) + (8q^(-1) + 6q^(-2) + 4q^(-3) + 2q^(-4))x1^(3/2)x2^(11/2)x3^(1/2) + (-2q^(3) - 8q^(2) - 18q - 281 - 18q^(-1) - 8q^(-2) - 2q^(-3))x1^(3/2)x2^(11/2)x3^(3/2) + (2q^(6) + 4q^(5) + 16q^(4) + 30q^(3) + 42q^(2) + 32q + 141 + 4q^(-1))x1^(3/2)x2^(11/2)x3^(5/2) + (-2q^(8) - 6q^(7) - 14q^(6) - 28q^(5) - 28q^(4) - 22q^(3) - 10q^(2) - 2q)x1^(3/2)x2^(11/2)x3^(7/2) + (4q^(9) + 6q^(8) + 8q^(7) + 8q^(6) + 4q^(5) + 2q^(4))x1^(3/2)x2^(11/2)x3^(9/2) + (-3q^(-2) - 13q^(-3) - 11q^(-4) - 9q^(-5) - 2q^(-6) - 2q^(-7))x1^(5/2)x2^(11/2)x3^(1/2) + (4q + 141 + 32q^(-1) + 42q^(-2) + 30q^(-3) + 16q^(-4) + 4q^(-5) + 2q^(-6))x1^(5/2)x2^(11/2)x3^(3/2) + (-2q^(4) - 7q^(3) - 23q^(2) - 39q - 531 - 39q^(-1) - 23q^(-2) - 7q^(-3) - 2q^(-4))x1^(5/2)x2^(11/2)x3^(5/2) + (2q^(6) + 6q^(5) + 16q^(4) + 26q^(3) + 28q^(2) + 22q + 101 + 4q^(-1))x1^(5/2)x2^(11/2)x3^(7/2) + (-3q^(7) - 4q^(6) - 7q^(5) - 5q^(4) - 4q^(3) - q^(2))x1^(5/2)x2^(11/2)x3^(9/2) + (4q^(-4) + 8q^(-5) + 14q^(-6) + 8q^(-7) + 4q^(-8) + 2q^(-9))x1^(7/2)x2^(11/2)x3^(1/2) + (-2q^(-1) - 10q^(-2) - 22q^(-3) - 28q^(-4) - 28q^(-5) - 14q^(-6) - 6q^(-7) - 2q^(-8))x1^(7/2)x2^(11/2)x3^(3/2) + (4q + 101 + 22q^(-1) + 28q^(-2) + 26q^(-3) + 16q^(-4) + 6q^(-5) + 2q^(-6))x1^(7/2)x2^(11/2)x3^(5/2) + (-2q^(3) - 6q^(2) - 10q - 141 - 10q^(-1) - 6q^(-2) - 2q^(-3))x1^(7/2)x2^(11/2)x3^(7/2) + (2q^(4) + 2q^(3) + 2q^(2) + 2q)x1^(7/2)x2^(11/2)x3^(9/2) + (-q^(-6) - 3q^(-7) - 4q^(-8) - 3q^(-9) - 5q^(-10))x1^(9/2)x2^(11/2)x3^(1/2) + (2q^(-4) + 4q^(-5) + 8q^(-6) + 8q^(-7) + 6q^(-8) + 4q^(-9))x1^(9/2)x2^(11/2)x3^(3/2) + (-q^(-2) - 4q^(-3) - 5q^(-4) - 7q^(-5) - 4q^(-6) - 3q^(-7))x1^(9/2)x2^(11/2)x3^(5/2) + (2q^(-1) + 2q^(-2) + 2q^(-3) + 2q^(-4))x1^(9/2)x2^(11/2)x3^(7/2) + (-1)x1^(9/2)x2^(11/2)*x3^(9/2)
`(1/2, 3/2, 1/2)`		`x1^(-1/2)x2^(-3/2)x3^(-1/2)`	`q^(0)`		(-1)x1^(-1/2)x2^(-3/2)x3^(-1/2) + (-21)x1^(-1/2)x2^(-5/2)x3^(-1/2) + (2q)x1^(-1/2)x2^(-5/2)x3^(-3/2) + (2q^(-1))x1^(-3/2)x2^(-5/2)x3^(-1/2) + (-1)x1^(-3/2)x2^(-5/2)x3^(-3/2) + (-31)x1^(-1/2)x2^(-7/2)x3^(-1/2) + (2q^(2) + 4q)x1^(-1/2)x2^(-7/2)x3^(-3/2) + (-3q^(3) - q^(2))x1^(-1/2)x2^(-7/2)x3^(-5/2) + (4q^(-1) + 2q^(-2))x1^(-3/2)x2^(-7/2)x3^(-1/2) + (-2q - 61 - 2q^(-1))x1^(-3/2)x2^(-7/2)x3^(-3/2) + (2q^(2) + 2q)x1^(-3/2)x2^(-7/2)x3^(-5/2) + (-q^(-2) - 3q^(-3))x1^(-5/2)x2^(-7/2)x3^(-1/2) + (2q^(-1) + 2q^(-2))x1^(-5/2)x2^(-7/2)x3^(-3/2) + (-1)x1^(-5/2)x2^(-7/2)x3^(-5/2) + (-41)x1^(-1/2)x2^(-9/2)x3^(-1/2) + (2q^(3) + 4q^(2) + 6q)x1^(-1/2)x2^(-9/2)x3^(-3/2) + (-2q^(5) - 4q^(4) - 8q^(3) - 2q^(2))x1^(-1/2)x2^(-9/2)x3^(-5/2) + (4q^(6) + 2q^(5) + 2q^(4))x1^(-1/2)x2^(-9/2)x3^(-7/2) + (6q^(-1) + 4q^(-2) + 2q^(-3))x1^(-3/2)x2^(-9/2)x3^(-1/2) + (-2q^(2) - 8q - 151 - 8q^(-1) - 2q^(-2))x1^(-3/2)x2^(-9/2)x3^(-3/2) + (2q^(4) + 6q^(3) + 14q^(2) + 10q + 41)x1^(-3/2)x2^(-9/2)x3^(-5/2) + (-3q^(5) - 4q^(4) - 4q^(3) - q^(2))x1^(-3/2)x2^(-9/2)x3^(-7/2) + (-2q^(-2) - 8q^(-3) - 4q^(-4) - 2q^(-5))x1^(-5/2)x2^(-9/2)x3^(-1/2) + (41 + 10q^(-1) + 14q^(-2) + 6q^(-3) + 2q^(-4))x1^(-5/2)x2^(-9/2)x3^(-3/2) + (-2q^(2) - 6q - 101 - 6q^(-1) - 2q^(-2))x1^(-5/2)x2^(-9/2)x3^(-5/2) + (2q^(3) + 2q^(2) + 2q)x1^(-5/2)x2^(-9/2)x3^(-7/2) + (2q^(-4) + 2q^(-5) + 4q^(-6))x1^(-7/2)x2^(-9/2)x3^(-1/2) + (-q^(-2) - 4q^(-3) - 4q^(-4) - 3q^(-5))x1^(-7/2)x2^(-9/2)x3^(-3/2) + (2q^(-1) + 2q^(-2) + 2q^(-3))x1^(-7/2)x2^(-9/2)x3^(-5/2) + (-1)x1^(-7/2)x2^(-9/2)x3^(-7/2) + (-51)x1^(-1/2)x2^(-11/2)x3^(-1/2) + (2q^(4) + 4q^(3) + 6q^(2) + 8q)x1^(-1/2)x2^(-11/2)x3^(-3/2) + (-2q^(7) - 2q^(6) - 9q^(5) - 11q^(4) - 13q^(3) - 3q^(2))x1^(-1/2)x2^(-11/2)x3^(-5/2) + (2q^(9) + 4q^(8) + 8q^(7) + 14q^(6) + 8q^(5) + 4q^(4))x1^(-1/2)x2^(-11/2)x3^(-7/2) + (-5q^(10) - 3q^(9) - 4q^(8) - 3q^(7) - q^(6))x1^(-1/2)x2^(-11/2)x3^(-9/2) + (8q^(-1) + 6q^(-2) + 4q^(-3) + 2q^(-4))x1^(-3/2)x2^(-11/2)x3^(-1/2) + (-2q^(3) - 8q^(2) - 18q - 281 - 18q^(-1) - 8q^(-2) - 2q^(-3))x1^(-3/2)x2^(-11/2)x3^(-3/2) + (2q^(6) + 4q^(5) + 16q^(4) + 30q^(3) + 42q^(2) + 32q + 141 + 4q^(-1))x1^(-3/2)x2^(-11/2)x3^(-5/2) + (-2q^(8) - 6q^(7) - 14q^(6) - 28q^(5) - 28q^(4) - 22q^(3) - 10q^(2) - 2q)x1^(-3/2)x2^(-11/2)x3^(-7/2) + (4q^(9) + 6q^(8) + 8q^(7) + 8q^(6) + 4q^(5) + 2q^(4))x1^(-3/2)x2^(-11/2)x3^(-9/2) + (-3q^(-2) - 13q^(-3) - 11q^(-4) - 9q^(-5) - 2q^(-6) - 2q^(-7))x1^(-5/2)x2^(-11/2)x3^(-1/2) + (4q + 141 + 32q^(-1) + 42q^(-2) + 30q^(-3) + 16q^(-4) + 4q^(-5) + 2q^(-6))x1^(-5/2)x2^(-11/2)x3^(-3/2) + (-2q^(4) - 7q^(3) - 23q^(2) - 39q - 531 - 39q^(-1) - 23q^(-2) - 7q^(-3) - 2q^(-4))x1^(-5/2)x2^(-11/2)x3^(-5/2) + (2q^(6) + 6q^(5) + 16q^(4) + 26q^(3) + 28q^(2) + 22q + 101 + 4q^(-1))x1^(-5/2)x2^(-11/2)x3^(-7/2) + (-3q^(7) - 4q^(6) - 7q^(5) - 5q^(4) - 4q^(3) - q^(2))x1^(-5/2)x2^(-11/2)x3^(-9/2) + (4q^(-4) + 8q^(-5) + 14q^(-6) + 8q^(-7) + 4q^(-8) + 2q^(-9))x1^(-7/2)x2^(-11/2)x3^(-1/2) + (-2q^(-1) - 10q^(-2) - 22q^(-3) - 28q^(-4) - 28q^(-5) - 14q^(-6) - 6q^(-7) - 2q^(-8))x1^(-7/2)x2^(-11/2)x3^(-3/2) + (4q + 101 + 22q^(-1) + 28q^(-2) + 26q^(-3) + 16q^(-4) + 6q^(-5) + 2q^(-6))x1^(-7/2)x2^(-11/2)x3^(-5/2) + (-2q^(3) - 6q^(2) - 10q - 141 - 10q^(-1) - 6q^(-2) - 2q^(-3))x1^(-7/2)x2^(-11/2)x3^(-7/2) + (2q^(4) + 2q^(3) + 2q^(2) + 2q)x1^(-7/2)x2^(-11/2)x3^(-9/2) + (-q^(-6) - 3q^(-7) - 4q^(-8) - 3q^(-9) - 5q^(-10))x1^(-9/2)x2^(-11/2)x3^(-1/2) + (2q^(-4) + 4q^(-5) + 8q^(-6) + 8q^(-7) + 6q^(-8) + 4q^(-9))x1^(-9/2)x2^(-11/2)x3^(-3/2) + (-q^(-2) - 4q^(-3) - 5q^(-4) - 7q^(-5) - 4q^(-6) - 3q^(-7))x1^(-9/2)x2^(-11/2)x3^(-5/2) + (2q^(-1) + 2q^(-2) + 2q^(-3) + 2q^(-4))x1^(-9/2)x2^(-11/2)x3^(-7/2) + (-1)x1^(-9/2)x2^(-11/2)*x3^(-9/2)

(-1/2, -3/2, -1/2)

(1, 1, 1)

x1^(1/2)x2^(3/2)x3^(1/2)

q^(0)

{"0": [-1, -1, 1, -1, -1, -1, 1, -1], "1": [-1, -1, -1, -1], "2": [1, -1, 1, -1]}

(-1)*x1^(1/2)*x2^(3/2)*x3^(1/2) + (-2*1)*x1^(1/2)*x2^(5/2)*x3^(1/2) + (2*q)*x1^(1/2)*x2^(5/2)*x3^(3/2) + (2*q^(-1))*x1^(3/2)*x2^(5/2)*x3^(1/2) + (-1)*x1^(3/2)*x2^(5/2)*x3^(3/2) + (-3*1)*x1^(1/2)*x2^(7/2)*x3^(1/2) + (2*q^(2) + 4*q)*x1^(1/2)*x2^(7/2)*x3^(3/2) + (-3*q^(3) - q^(2))*x1^(1/2)*x2^(7/2)*x3^(5/2) + (4*q^(-1) + 2*q^(-2))*x1^(3/2)*x2^(7/2)*x3^(1/2) + (-2*q - 6*1 - 2*q^(-1))*x1^(3/2)*x2^(7/2)*x3^(3/2) + (2*q^(2) + 2*q)*x1^(3/2)*x2^(7/2)*x3^(5/2) + (-q^(-2) - 3*q^(-3))*x1^(5/2)*x2^(7/2)*x3^(1/2) + (2*q^(-1) + 2*q^(-2))*x1^(5/2)*x2^(7/2)*x3^(3/2) + (-1)*x1^(5/2)*x2^(7/2)*x3^(5/2) + (-4*1)*x1^(1/2)*x2^(9/2)*x3^(1/2) + (2*q^(3) + 4*q^(2) + 6*q)*x1^(1/2)*x2^(9/2)*x3^(3/2) + (-2*q^(5) - 4*q^(4) - 8*q^(3) - 2*q^(2))*x1^(1/2)*x2^(9/2)*x3^(5/2) + (4*q^(6) + 2*q^(5) + 2*q^(4))*x1^(1/2)*x2^(9/2)*x3^(7/2) + (6*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(3/2)*x2^(9/2)*x3^(1/2) + (-2*q^(2) - 8*q - 15*1 - 8*q^(-1) - 2*q^(-2))*x1^(3/2)*x2^(9/2)*x3^(3/2) + (2*q^(4) + 6*q^(3) + 14*q^(2) + 10*q + 4*1)*x1^(3/2)*x2^(9/2)*x3^(5/2) + (-3*q^(5) - 4*q^(4) - 4*q^(3) - q^(2))*x1^(3/2)*x2^(9/2)*x3^(7/2) + (-2*q^(-2) - 8*q^(-3) - 4*q^(-4) - 2*q^(-5))*x1^(5/2)*x2^(9/2)*x3^(1/2) + (4*1 + 10*q^(-1) + 14*q^(-2) + 6*q^(-3) + 2*q^(-4))*x1^(5/2)*x2^(9/2)*x3^(3/2) + (-2*q^(2) - 6*q - 10*1 - 6*q^(-1) - 2*q^(-2))*x1^(5/2)*x2^(9/2)*x3^(5/2) + (2*q^(3) + 2*q^(2) + 2*q)*x1^(5/2)*x2^(9/2)*x3^(7/2) + (2*q^(-4) + 2*q^(-5) + 4*q^(-6))*x1^(7/2)*x2^(9/2)*x3^(1/2) + (-q^(-2) - 4*q^(-3) - 4*q^(-4) - 3*q^(-5))*x1^(7/2)*x2^(9/2)*x3^(3/2) + (2*q^(-1) + 2*q^(-2) + 2*q^(-3))*x1^(7/2)*x2^(9/2)*x3^(5/2) + (-1)*x1^(7/2)*x2^(9/2)*x3^(7/2) + (-5*1)*x1^(1/2)*x2^(11/2)*x3^(1/2) + (2*q^(4) + 4*q^(3) + 6*q^(2) + 8*q)*x1^(1/2)*x2^(11/2)*x3^(3/2) + (-2*q^(7) - 2*q^(6) - 9*q^(5) - 11*q^(4) - 13*q^(3) - 3*q^(2))*x1^(1/2)*x2^(11/2)*x3^(5/2) + (2*q^(9) + 4*q^(8) + 8*q^(7) + 14*q^(6) + 8*q^(5) + 4*q^(4))*x1^(1/2)*x2^(11/2)*x3^(7/2) + (-5*q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(1/2)*x2^(11/2)*x3^(9/2) + (8*q^(-1) + 6*q^(-2) + 4*q^(-3) + 2*q^(-4))*x1^(3/2)*x2^(11/2)*x3^(1/2) + (-2*q^(3) - 8*q^(2) - 18*q - 28*1 - 18*q^(-1) - 8*q^(-2) - 2*q^(-3))*x1^(3/2)*x2^(11/2)*x3^(3/2) + (2*q^(6) + 4*q^(5) + 16*q^(4) + 30*q^(3) + 42*q^(2) + 32*q + 14*1 + 4*q^(-1))*x1^(3/2)*x2^(11/2)*x3^(5/2) + (-2*q^(8) - 6*q^(7) - 14*q^(6) - 28*q^(5) - 28*q^(4) - 22*q^(3) - 10*q^(2) - 2*q)*x1^(3/2)*x2^(11/2)*x3^(7/2) + (4*q^(9) + 6*q^(8) + 8*q^(7) + 8*q^(6) + 4*q^(5) + 2*q^(4))*x1^(3/2)*x2^(11/2)*x3^(9/2) + (-3*q^(-2) - 13*q^(-3) - 11*q^(-4) - 9*q^(-5) - 2*q^(-6) - 2*q^(-7))*x1^(5/2)*x2^(11/2)*x3^(1/2) + (4*q + 14*1 + 32*q^(-1) + 42*q^(-2) + 30*q^(-3) + 16*q^(-4) + 4*q^(-5) + 2*q^(-6))*x1^(5/2)*x2^(11/2)*x3^(3/2) + (-2*q^(4) - 7*q^(3) - 23*q^(2) - 39*q - 53*1 - 39*q^(-1) - 23*q^(-2) - 7*q^(-3) - 2*q^(-4))*x1^(5/2)*x2^(11/2)*x3^(5/2) + (2*q^(6) + 6*q^(5) + 16*q^(4) + 26*q^(3) + 28*q^(2) + 22*q + 10*1 + 4*q^(-1))*x1^(5/2)*x2^(11/2)*x3^(7/2) + (-3*q^(7) - 4*q^(6) - 7*q^(5) - 5*q^(4) - 4*q^(3) - q^(2))*x1^(5/2)*x2^(11/2)*x3^(9/2) + (4*q^(-4) + 8*q^(-5) + 14*q^(-6) + 8*q^(-7) + 4*q^(-8) + 2*q^(-9))*x1^(7/2)*x2^(11/2)*x3^(1/2) + (-2*q^(-1) - 10*q^(-2) - 22*q^(-3) - 28*q^(-4) - 28*q^(-5) - 14*q^(-6) - 6*q^(-7) - 2*q^(-8))*x1^(7/2)*x2^(11/2)*x3^(3/2) + (4*q + 10*1 + 22*q^(-1) + 28*q^(-2) + 26*q^(-3) + 16*q^(-4) + 6*q^(-5) + 2*q^(-6))*x1^(7/2)*x2^(11/2)*x3^(5/2) + (-2*q^(3) - 6*q^(2) - 10*q - 14*1 - 10*q^(-1) - 6*q^(-2) - 2*q^(-3))*x1^(7/2)*x2^(11/2)*x3^(7/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q)*x1^(7/2)*x2^(11/2)*x3^(9/2) + (-q^(-6) - 3*q^(-7) - 4*q^(-8) - 3*q^(-9) - 5*q^(-10))*x1^(9/2)*x2^(11/2)*x3^(1/2) + (2*q^(-4) + 4*q^(-5) + 8*q^(-6) + 8*q^(-7) + 6*q^(-8) + 4*q^(-9))*x1^(9/2)*x2^(11/2)*x3^(3/2) + (-q^(-2) - 4*q^(-3) - 5*q^(-4) - 7*q^(-5) - 4*q^(-6) - 3*q^(-7))*x1^(9/2)*x2^(11/2)*x3^(5/2) + (2*q^(-1) + 2*q^(-2) + 2*q^(-3) + 2*q^(-4))*x1^(9/2)*x2^(11/2)*x3^(7/2) + (-1)*x1^(9/2)*x2^(11/2)*x3^(9/2)

(-1/2, -3/2, -1/2)

(1, 1, 1)

x1^(1/2)x2^(3/2)x3^(1/2)

q^(0)

{"0": [1, -1, 1, -1, 1, -1, 1, -1], "1": [-1, 1, -1, 1], "2": [1, -1, 1, -1]}

(-1)*x1^(1/2)*x2^(3/2)*x3^(1/2) + (-2*1)*x1^(1/2)*x2^(5/2)*x3^(1/2) + (2*q)*x1^(1/2)*x2^(5/2)*x3^(3/2) + (2*q^(-1))*x1^(3/2)*x2^(5/2)*x3^(1/2) + (-1)*x1^(3/2)*x2^(5/2)*x3^(3/2) + (-3*1)*x1^(1/2)*x2^(7/2)*x3^(1/2) + (2*q^(2) + 4*q)*x1^(1/2)*x2^(7/2)*x3^(3/2) + (-3*q^(3) - q^(2))*x1^(1/2)*x2^(7/2)*x3^(5/2) + (4*q^(-1) + 2*q^(-2))*x1^(3/2)*x2^(7/2)*x3^(1/2) + (-2*q - 6*1 - 2*q^(-1))*x1^(3/2)*x2^(7/2)*x3^(3/2) + (2*q^(2) + 2*q)*x1^(3/2)*x2^(7/2)*x3^(5/2) + (-q^(-2) - 3*q^(-3))*x1^(5/2)*x2^(7/2)*x3^(1/2) + (2*q^(-1) + 2*q^(-2))*x1^(5/2)*x2^(7/2)*x3^(3/2) + (-1)*x1^(5/2)*x2^(7/2)*x3^(5/2) + (-4*1)*x1^(1/2)*x2^(9/2)*x3^(1/2) + (2*q^(3) + 4*q^(2) + 6*q)*x1^(1/2)*x2^(9/2)*x3^(3/2) + (-2*q^(5) - 4*q^(4) - 8*q^(3) - 2*q^(2))*x1^(1/2)*x2^(9/2)*x3^(5/2) + (4*q^(6) + 2*q^(5) + 2*q^(4))*x1^(1/2)*x2^(9/2)*x3^(7/2) + (6*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(3/2)*x2^(9/2)*x3^(1/2) + (-2*q^(2) - 8*q - 15*1 - 8*q^(-1) - 2*q^(-2))*x1^(3/2)*x2^(9/2)*x3^(3/2) + (2*q^(4) + 6*q^(3) + 14*q^(2) + 10*q + 4*1)*x1^(3/2)*x2^(9/2)*x3^(5/2) + (-3*q^(5) - 4*q^(4) - 4*q^(3) - q^(2))*x1^(3/2)*x2^(9/2)*x3^(7/2) + (-2*q^(-2) - 8*q^(-3) - 4*q^(-4) - 2*q^(-5))*x1^(5/2)*x2^(9/2)*x3^(1/2) + (4*1 + 10*q^(-1) + 14*q^(-2) + 6*q^(-3) + 2*q^(-4))*x1^(5/2)*x2^(9/2)*x3^(3/2) + (-2*q^(2) - 6*q - 10*1 - 6*q^(-1) - 2*q^(-2))*x1^(5/2)*x2^(9/2)*x3^(5/2) + (2*q^(3) + 2*q^(2) + 2*q)*x1^(5/2)*x2^(9/2)*x3^(7/2) + (2*q^(-4) + 2*q^(-5) + 4*q^(-6))*x1^(7/2)*x2^(9/2)*x3^(1/2) + (-q^(-2) - 4*q^(-3) - 4*q^(-4) - 3*q^(-5))*x1^(7/2)*x2^(9/2)*x3^(3/2) + (2*q^(-1) + 2*q^(-2) + 2*q^(-3))*x1^(7/2)*x2^(9/2)*x3^(5/2) + (-1)*x1^(7/2)*x2^(9/2)*x3^(7/2) + (-5*1)*x1^(1/2)*x2^(11/2)*x3^(1/2) + (2*q^(4) + 4*q^(3) + 6*q^(2) + 8*q)*x1^(1/2)*x2^(11/2)*x3^(3/2) + (-2*q^(7) - 2*q^(6) - 9*q^(5) - 11*q^(4) - 13*q^(3) - 3*q^(2))*x1^(1/2)*x2^(11/2)*x3^(5/2) + (2*q^(9) + 4*q^(8) + 8*q^(7) + 14*q^(6) + 8*q^(5) + 4*q^(4))*x1^(1/2)*x2^(11/2)*x3^(7/2) + (-5*q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(1/2)*x2^(11/2)*x3^(9/2) + (8*q^(-1) + 6*q^(-2) + 4*q^(-3) + 2*q^(-4))*x1^(3/2)*x2^(11/2)*x3^(1/2) + (-2*q^(3) - 8*q^(2) - 18*q - 28*1 - 18*q^(-1) - 8*q^(-2) - 2*q^(-3))*x1^(3/2)*x2^(11/2)*x3^(3/2) + (2*q^(6) + 4*q^(5) + 16*q^(4) + 30*q^(3) + 42*q^(2) + 32*q + 14*1 + 4*q^(-1))*x1^(3/2)*x2^(11/2)*x3^(5/2) + (-2*q^(8) - 6*q^(7) - 14*q^(6) - 28*q^(5) - 28*q^(4) - 22*q^(3) - 10*q^(2) - 2*q)*x1^(3/2)*x2^(11/2)*x3^(7/2) + (4*q^(9) + 6*q^(8) + 8*q^(7) + 8*q^(6) + 4*q^(5) + 2*q^(4))*x1^(3/2)*x2^(11/2)*x3^(9/2) + (-3*q^(-2) - 13*q^(-3) - 11*q^(-4) - 9*q^(-5) - 2*q^(-6) - 2*q^(-7))*x1^(5/2)*x2^(11/2)*x3^(1/2) + (4*q + 14*1 + 32*q^(-1) + 42*q^(-2) + 30*q^(-3) + 16*q^(-4) + 4*q^(-5) + 2*q^(-6))*x1^(5/2)*x2^(11/2)*x3^(3/2) + (-2*q^(4) - 7*q^(3) - 23*q^(2) - 39*q - 53*1 - 39*q^(-1) - 23*q^(-2) - 7*q^(-3) - 2*q^(-4))*x1^(5/2)*x2^(11/2)*x3^(5/2) + (2*q^(6) + 6*q^(5) + 16*q^(4) + 26*q^(3) + 28*q^(2) + 22*q + 10*1 + 4*q^(-1))*x1^(5/2)*x2^(11/2)*x3^(7/2) + (-3*q^(7) - 4*q^(6) - 7*q^(5) - 5*q^(4) - 4*q^(3) - q^(2))*x1^(5/2)*x2^(11/2)*x3^(9/2) + (4*q^(-4) + 8*q^(-5) + 14*q^(-6) + 8*q^(-7) + 4*q^(-8) + 2*q^(-9))*x1^(7/2)*x2^(11/2)*x3^(1/2) + (-2*q^(-1) - 10*q^(-2) - 22*q^(-3) - 28*q^(-4) - 28*q^(-5) - 14*q^(-6) - 6*q^(-7) - 2*q^(-8))*x1^(7/2)*x2^(11/2)*x3^(3/2) + (4*q + 10*1 + 22*q^(-1) + 28*q^(-2) + 26*q^(-3) + 16*q^(-4) + 6*q^(-5) + 2*q^(-6))*x1^(7/2)*x2^(11/2)*x3^(5/2) + (-2*q^(3) - 6*q^(2) - 10*q - 14*1 - 10*q^(-1) - 6*q^(-2) - 2*q^(-3))*x1^(7/2)*x2^(11/2)*x3^(7/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q)*x1^(7/2)*x2^(11/2)*x3^(9/2) + (-q^(-6) - 3*q^(-7) - 4*q^(-8) - 3*q^(-9) - 5*q^(-10))*x1^(9/2)*x2^(11/2)*x3^(1/2) + (2*q^(-4) + 4*q^(-5) + 8*q^(-6) + 8*q^(-7) + 6*q^(-8) + 4*q^(-9))*x1^(9/2)*x2^(11/2)*x3^(3/2) + (-q^(-2) - 4*q^(-3) - 5*q^(-4) - 7*q^(-5) - 4*q^(-6) - 3*q^(-7))*x1^(9/2)*x2^(11/2)*x3^(5/2) + (2*q^(-1) + 2*q^(-2) + 2*q^(-3) + 2*q^(-4))*x1^(9/2)*x2^(11/2)*x3^(7/2) + (-1)*x1^(9/2)*x2^(11/2)*x3^(9/2)

(1/2, 3/2, 1/2)

x1^(-1/2)x2^(-3/2)x3^(-1/2)

q^(0)

(-1)*x1^(-1/2)*x2^(-3/2)*x3^(-1/2) + (-2*1)*x1^(-1/2)*x2^(-5/2)*x3^(-1/2) + (2*q)*x1^(-1/2)*x2^(-5/2)*x3^(-3/2) + (2*q^(-1))*x1^(-3/2)*x2^(-5/2)*x3^(-1/2) + (-1)*x1^(-3/2)*x2^(-5/2)*x3^(-3/2) + (-3*1)*x1^(-1/2)*x2^(-7/2)*x3^(-1/2) + (2*q^(2) + 4*q)*x1^(-1/2)*x2^(-7/2)*x3^(-3/2) + (-3*q^(3) - q^(2))*x1^(-1/2)*x2^(-7/2)*x3^(-5/2) + (4*q^(-1) + 2*q^(-2))*x1^(-3/2)*x2^(-7/2)*x3^(-1/2) + (-2*q - 6*1 - 2*q^(-1))*x1^(-3/2)*x2^(-7/2)*x3^(-3/2) + (2*q^(2) + 2*q)*x1^(-3/2)*x2^(-7/2)*x3^(-5/2) + (-q^(-2) - 3*q^(-3))*x1^(-5/2)*x2^(-7/2)*x3^(-1/2) + (2*q^(-1) + 2*q^(-2))*x1^(-5/2)*x2^(-7/2)*x3^(-3/2) + (-1)*x1^(-5/2)*x2^(-7/2)*x3^(-5/2) + (-4*1)*x1^(-1/2)*x2^(-9/2)*x3^(-1/2) + (2*q^(3) + 4*q^(2) + 6*q)*x1^(-1/2)*x2^(-9/2)*x3^(-3/2) + (-2*q^(5) - 4*q^(4) - 8*q^(3) - 2*q^(2))*x1^(-1/2)*x2^(-9/2)*x3^(-5/2) + (4*q^(6) + 2*q^(5) + 2*q^(4))*x1^(-1/2)*x2^(-9/2)*x3^(-7/2) + (6*q^(-1) + 4*q^(-2) + 2*q^(-3))*x1^(-3/2)*x2^(-9/2)*x3^(-1/2) + (-2*q^(2) - 8*q - 15*1 - 8*q^(-1) - 2*q^(-2))*x1^(-3/2)*x2^(-9/2)*x3^(-3/2) + (2*q^(4) + 6*q^(3) + 14*q^(2) + 10*q + 4*1)*x1^(-3/2)*x2^(-9/2)*x3^(-5/2) + (-3*q^(5) - 4*q^(4) - 4*q^(3) - q^(2))*x1^(-3/2)*x2^(-9/2)*x3^(-7/2) + (-2*q^(-2) - 8*q^(-3) - 4*q^(-4) - 2*q^(-5))*x1^(-5/2)*x2^(-9/2)*x3^(-1/2) + (4*1 + 10*q^(-1) + 14*q^(-2) + 6*q^(-3) + 2*q^(-4))*x1^(-5/2)*x2^(-9/2)*x3^(-3/2) + (-2*q^(2) - 6*q - 10*1 - 6*q^(-1) - 2*q^(-2))*x1^(-5/2)*x2^(-9/2)*x3^(-5/2) + (2*q^(3) + 2*q^(2) + 2*q)*x1^(-5/2)*x2^(-9/2)*x3^(-7/2) + (2*q^(-4) + 2*q^(-5) + 4*q^(-6))*x1^(-7/2)*x2^(-9/2)*x3^(-1/2) + (-q^(-2) - 4*q^(-3) - 4*q^(-4) - 3*q^(-5))*x1^(-7/2)*x2^(-9/2)*x3^(-3/2) + (2*q^(-1) + 2*q^(-2) + 2*q^(-3))*x1^(-7/2)*x2^(-9/2)*x3^(-5/2) + (-1)*x1^(-7/2)*x2^(-9/2)*x3^(-7/2) + (-5*1)*x1^(-1/2)*x2^(-11/2)*x3^(-1/2) + (2*q^(4) + 4*q^(3) + 6*q^(2) + 8*q)*x1^(-1/2)*x2^(-11/2)*x3^(-3/2) + (-2*q^(7) - 2*q^(6) - 9*q^(5) - 11*q^(4) - 13*q^(3) - 3*q^(2))*x1^(-1/2)*x2^(-11/2)*x3^(-5/2) + (2*q^(9) + 4*q^(8) + 8*q^(7) + 14*q^(6) + 8*q^(5) + 4*q^(4))*x1^(-1/2)*x2^(-11/2)*x3^(-7/2) + (-5*q^(10) - 3*q^(9) - 4*q^(8) - 3*q^(7) - q^(6))*x1^(-1/2)*x2^(-11/2)*x3^(-9/2) + (8*q^(-1) + 6*q^(-2) + 4*q^(-3) + 2*q^(-4))*x1^(-3/2)*x2^(-11/2)*x3^(-1/2) + (-2*q^(3) - 8*q^(2) - 18*q - 28*1 - 18*q^(-1) - 8*q^(-2) - 2*q^(-3))*x1^(-3/2)*x2^(-11/2)*x3^(-3/2) + (2*q^(6) + 4*q^(5) + 16*q^(4) + 30*q^(3) + 42*q^(2) + 32*q + 14*1 + 4*q^(-1))*x1^(-3/2)*x2^(-11/2)*x3^(-5/2) + (-2*q^(8) - 6*q^(7) - 14*q^(6) - 28*q^(5) - 28*q^(4) - 22*q^(3) - 10*q^(2) - 2*q)*x1^(-3/2)*x2^(-11/2)*x3^(-7/2) + (4*q^(9) + 6*q^(8) + 8*q^(7) + 8*q^(6) + 4*q^(5) + 2*q^(4))*x1^(-3/2)*x2^(-11/2)*x3^(-9/2) + (-3*q^(-2) - 13*q^(-3) - 11*q^(-4) - 9*q^(-5) - 2*q^(-6) - 2*q^(-7))*x1^(-5/2)*x2^(-11/2)*x3^(-1/2) + (4*q + 14*1 + 32*q^(-1) + 42*q^(-2) + 30*q^(-3) + 16*q^(-4) + 4*q^(-5) + 2*q^(-6))*x1^(-5/2)*x2^(-11/2)*x3^(-3/2) + (-2*q^(4) - 7*q^(3) - 23*q^(2) - 39*q - 53*1 - 39*q^(-1) - 23*q^(-2) - 7*q^(-3) - 2*q^(-4))*x1^(-5/2)*x2^(-11/2)*x3^(-5/2) + (2*q^(6) + 6*q^(5) + 16*q^(4) + 26*q^(3) + 28*q^(2) + 22*q + 10*1 + 4*q^(-1))*x1^(-5/2)*x2^(-11/2)*x3^(-7/2) + (-3*q^(7) - 4*q^(6) - 7*q^(5) - 5*q^(4) - 4*q^(3) - q^(2))*x1^(-5/2)*x2^(-11/2)*x3^(-9/2) + (4*q^(-4) + 8*q^(-5) + 14*q^(-6) + 8*q^(-7) + 4*q^(-8) + 2*q^(-9))*x1^(-7/2)*x2^(-11/2)*x3^(-1/2) + (-2*q^(-1) - 10*q^(-2) - 22*q^(-3) - 28*q^(-4) - 28*q^(-5) - 14*q^(-6) - 6*q^(-7) - 2*q^(-8))*x1^(-7/2)*x2^(-11/2)*x3^(-3/2) + (4*q + 10*1 + 22*q^(-1) + 28*q^(-2) + 26*q^(-3) + 16*q^(-4) + 6*q^(-5) + 2*q^(-6))*x1^(-7/2)*x2^(-11/2)*x3^(-5/2) + (-2*q^(3) - 6*q^(2) - 10*q - 14*1 - 10*q^(-1) - 6*q^(-2) - 2*q^(-3))*x1^(-7/2)*x2^(-11/2)*x3^(-7/2) + (2*q^(4) + 2*q^(3) + 2*q^(2) + 2*q)*x1^(-7/2)*x2^(-11/2)*x3^(-9/2) + (-q^(-6) - 3*q^(-7) - 4*q^(-8) - 3*q^(-9) - 5*q^(-10))*x1^(-9/2)*x2^(-11/2)*x3^(-1/2) + (2*q^(-4) + 4*q^(-5) + 8*q^(-6) + 8*q^(-7) + 6*q^(-8) + 4*q^(-9))*x1^(-9/2)*x2^(-11/2)*x3^(-3/2) + (-q^(-2) - 4*q^(-3) - 5*q^(-4) - 7*q^(-5) - 4*q^(-6) - 3*q^(-7))*x1^(-9/2)*x2^(-11/2)*x3^(-5/2) + (2*q^(-1) + 2*q^(-2) + 2*q^(-3) + 2*q^(-4))*x1^(-9/2)*x2^(-11/2)*x3^(-7/2) + (-1)*x1^(-9/2)*x2^(-11/2)*x3^(-9/2)

Braid

Braid word	Components	Crossings	Strands
`[-1, 2, 2, -1, -1, 2, 2, -1]`	3	8	3

Multivariable Alexander polynomial

Δ_L
`-A1^(1/2)A2^(3/2)A3^(1/2) + 2A1^(1/2)A2^(1/2)A3^(1/2) - 2A1^(1/2)A2^(1/2)A3^(-1/2) - A1^(1/2)A2^(-1/2)A3^(1/2) + 2A1^(1/2)A2^(-1/2)A3^(-1/2) - 2A1^(-1/2)A2^(1/2)A3^(1/2) + A1^(-1/2)A2^(1/2)A3^(-1/2) + 2A1^(-1/2)A2^(-1/2)A3^(1/2) - 2A1^(-1/2)A2^(-1/2)A3^(-1/2) + 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 F_L.

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Dual Thurston polytope

Vertex	Dual to fibered face
`(-1, 1, -1)`	yes
`(-1, 1, 1)`	no
`(1, 3, 1)`	yes
`(1, -1, 1)`	yes
`(-1, -1, 1)`	no
`(1, -1, -1)`	no
`(1, 1, -1)`	no
`(-1, -3, -1)`	yes

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HFL polytope

Poincaré polynomial
m^(-5)A1^(-1)A2^(-2)A3^(-1) + m^(-4)A1^(-1)A2^(-2) + 3m^(-4)A1^(-1)A2^(-1)A3^(-1) + m^(-4)A2^(-2)A3^(-1) + 5m^(-3)A1^(-1)A2^(-1) + 3m^(-3)A1^(-1)A3^(-1) + m^(-3)A2^(-2) + 5m^(-3)A2^(-1)A3^(-1) + 2m^(-2)A1^(-1)A2^(-1)A3 + 7m^(-2)A1^(-1) + m^(-2)A1^(-1)A2A3^(-1) + 8m^(-2)A2^(-1) + 7m^(-2)A3^(-1) + 2m^(-2)A1A2^(-1)A3^(-1) + 4m^(-1)A1^(-1)A3 + 3m^(-1)A1^(-1)A2 + 3m^(-1)A2^(-1)A3 + 14m^(-1) + 3m^(-1)A2A3^(-1) + 3m^(-1)A1A2^(-1) + 4m^(-1)A1A3^(-1) + 2A1^(-1)A2A3 + 7A3 + 8A2 + A1A2^(-1)A3 + 7A1 + 2A1A2A3^(-1) + 5mA2A3 + mA2^2 + 3mA1A3 + 5mA1A2 + m^2A2^2A3 + 3m^2A1A2A3 + m^2A1A2^2 + m^3A1A2^2*A3

Vertex	Maslov	Rank
`(-1, -2, -1)`	-5	1
`(-1, -2, 0)`	-4	1
`(-1, -1, 1)`	-2	2
`(-1, 1, -1)`	-2	1
`(-1, 1, 1)`	0	2
`(0, -2, -1)`	-4	1
`(0, -2, 0)`	-3	1
`(0, 2, 0)`	1	1
`(0, 2, 1)`	2	1
`(1, -1, -1)`	-2	2
`(1, -1, 1)`	0	1
`(1, 1, -1)`	0	2
`(1, 2, 0)`	2	1
`(1, 2, 1)`	3	1

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Record

FL/HFL Links

`orderOption(int)`	`221`
`namestring`	`L8a20{1;0}`
`statusstring`	`success`
`slugstring`	`L8a20_1_0_3f3d8d2a`
`result_filestring`	`details/L8a20_1_0_3f3d8d2a.json`
`complexity_scoreOption(int)`	`192`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`8`
`component_countOption(int)`	`3`
`girthOption(int)`	`6`
`total_rankOption(int)`	`128`
`wall_secondsOption(float)`	`0.003153`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`3`
`support_sizeOption(int)`	`35`
`vertex_countOption(int)`	`14`
`fibered_vertex_countOption(int)`	`4`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`10`
`alexander_vertex_countOption(int)`	`8`
`alexander_relationstring`	`not_computed`
`fk_countint`	`2`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L8a20_1_0_3f3d8d2a" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L8a20_1_0_3f3d8d2a`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions