L9n24{1;0} - HFL and FL

details/L9n24_1_0_de83048b.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, -1, -1)`	`(1, 1, 1)`	`x1^(1/2)x2^(1)x3^(1)`	`q^(1)`	`{"0": [-1, 1, 1, 1], "1": [1, -1, 1, 1, -1, 1, -1, 1], "2": [1, 1, -1, 1, 1, -1]}`	(-q)x1^(1/2)x2x3 + (-q)x1^(1/2)x2x3^(2) + (-q)x1^(1/2)x2x3^(3) + (-q)x1^(1/2)x2x3^(4) + (-q)x1^(1/2)x2x3^(5) + (-q)x1^(1/2)x2^(2)x3 + (-q + 1)x1^(1/2)x2^(2)x3^(2) + (-q + 1 + q^(-1))x1^(1/2)x2^(2)x3^(3) + (-q + 1 + q^(-1) + q^(-2))x1^(1/2)x2^(2)x3^(4) + (-q + 1 + q^(-1) + q^(-2) + q^(-3))x1^(1/2)x2^(2)x3^(5) + (-q)x1^(1/2)x2^(3)x3 + (-q + 1 + q^(-1))x1^(1/2)x2^(3)x3^(2) + (-q + 1 + 2q^(-1))x1^(1/2)x2^(3)x3^(3) + (-q + 1 + 2q^(-1) + q^(-2) - q^(-4))x1^(1/2)x2^(3)x3^(4) + (-q + 1 + 2q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))x1^(1/2)x2^(3)x3^(5) + (-q)x1^(1/2)x2^(4)x3 + (-q + 1 + q^(-1) + q^(-2))x1^(1/2)x2^(4)x3^(2) + (-q + 1 + 2q^(-1) + q^(-2) - q^(-4))x1^(1/2)x2^(4)x3^(3) + (-q + 1 + 2q^(-1) + 2q^(-2) - 2q^(-4) - q^(-5) - q^(-6))x1^(1/2)x2^(4)x3^(4) + (-q + 1 + 2q^(-1) + 2q^(-2) + q^(-3) - 2q^(-4) - 2q^(-5) - 3q^(-6) - q^(-7))x1^(1/2)x2^(4)x3^(5) + (-q)x1^(1/2)x2^(5)x3 + (-q + 1 + q^(-1) + q^(-2) + q^(-3))x1^(1/2)x2^(5)x3^(2) + (-q + 1 + 2q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))x1^(1/2)x2^(5)x3^(3) + (-q + 1 + 2q^(-1) + 2q^(-2) + q^(-3) - 2q^(-4) - 2q^(-5) - 3q^(-6) - q^(-7))x1^(1/2)x2^(5)x3^(4) + (-q + 1 + 2q^(-1) + 2q^(-2) + 2q^(-3) - 2q^(-4) - 3q^(-5) - 5q^(-6) - 3q^(-7) - q^(-8) + q^(-10) + q^(-11))x1^(1/2)x2^(5)x3^(5) + (-2q^(3))x1^(3/2)x2^(2)x3^(2) + (-q^(4) - 2q^(3))x1^(3/2)x2^(2)x3^(3) + (-q^(5) - q^(4) - 2q^(3))x1^(3/2)x2^(2)x3^(4) + (-q^(6) - q^(5) - q^(4) - 2q^(3))x1^(3/2)x2^(2)x3^(5) + (-q^(4) - 2q^(3))x1^(3/2)x2^(3)x3^(2) + (-2q^(4) - 2q^(3) + 2q^(2) + q)x1^(3/2)x2^(3)x3^(3) + (-q^(5) - 2q^(4) - q^(3) + 3q^(2) + 3q + 1)x1^(3/2)x2^(3)x3^(4) + (-q^(6) - q^(5) - q^(4) + 4q^(2) + 4q + 31 + q^(-1))x1^(3/2)x2^(3)x3^(5) + (-q^(5) - q^(4) - 2q^(3))x1^(3/2)x2^(4)x3^(2) + (-q^(5) - 2q^(4) - q^(3) + 3q^(2) + 3q + 1)x1^(3/2)x2^(4)x3^(3) + (-2q^(5) - 2q^(4) + 6q^(2) + 7q + 21 - q^(-2))x1^(3/2)x2^(4)x3^(4) + (-q^(6) - 2q^(5) - q^(4) + 2q^(3) + 8q^(2) + 9q + 51 - 3q^(-2) - 2q^(-3) - q^(-4))x1^(3/2)x2^(4)x3^(5) + (-q^(6) - q^(5) - q^(4) - 2q^(3))x1^(3/2)x2^(5)x3^(2) + (-q^(6) - q^(5) - q^(4) + 4q^(2) + 4q + 31 + q^(-1))x1^(3/2)x2^(5)x3^(3) + (-q^(6) - 2q^(5) - q^(4) + 2q^(3) + 8q^(2) + 9q + 51 - 3q^(-2) - 2q^(-3) - q^(-4))x1^(3/2)x2^(5)x3^(4) + (-2q^(6) - 2q^(5) + 4q^(3) + 12q^(2) + 13q + 81 - 2q^(-1) - 9q^(-2) - 8q^(-3) - 6q^(-4) - 2q^(-5))x1^(3/2)x2^(5)x3^(5) + (-3q^(7) - q^(6))x1^(5/2)x2^(3)x3^(3) + (-q^(9) - 2q^(8) - 4q^(7) - q^(6))x1^(5/2)x2^(3)x3^(4) + (-q^(11) - q^(10) - 3q^(9) - 3q^(8) - 4q^(7) - q^(6))x1^(5/2)x2^(3)x3^(5) + (-q^(9) - 2q^(8) - 4q^(7) - q^(6))x1^(5/2)x2^(4)x3^(3) + (-3q^(9) - 5q^(8) - 5q^(7) + 2q^(6) + 3q^(5) + 2q^(4))x1^(5/2)x2^(4)x3^(4) + (-q^(11) - 2q^(10) - 6q^(9) - 5q^(8) - 2q^(7) + 6q^(6) + 8q^(5) + 5q^(4) + 2q^(3))x1^(5/2)x2^(4)x3^(5) + (-q^(11) - q^(10) - 3q^(9) - 3q^(8) - 4q^(7) - q^(6))x1^(5/2)x2^(5)x3^(3) + (-q^(11) - 2q^(10) - 6q^(9) - 5q^(8) - 2q^(7) + 6q^(6) + 8q^(5) + 5q^(4) + 2q^(3))x1^(5/2)x2^(5)x3^(4) + (-3q^(11) - 5q^(10) - 9q^(9) - 4q^(8) + 6q^(7) + 18q^(6) + 21q^(5) + 12q^(4) + 4q^(3) - 2q^(2) - 2q - 1)x1^(5/2)x2^(5)x3^(5) + (-4q^(13) - 2q^(12) - 2q^(11))x1^(7/2)x2^(4)x3^(4) + (-q^(16) - 2q^(15) - 4q^(14) - 7q^(13) - 4q^(12) - 2q^(11))x1^(7/2)x2^(4)x3^(5) + (-q^(16) - 2q^(15) - 4q^(14) - 7q^(13) - 4q^(12) - 2q^(11))x1^(7/2)x2^(5)x3^(4) + (-4q^(16) - 8q^(15) - 12q^(14) - 12q^(13) - 2q^(12) + 3q^(11) + 6q^(10) + 4q^(9) + q^(8))x1^(7/2)x2^(5)x3^(5) + (-5q^(21) - 3q^(20) - 4q^(19) - 3q^(18) - q^(17))x1^(9/2)x2^(5)*x3^(5)
`(-1/2, -1, -1)`	`(1, 1, 1)`	`x1^(1/2)x2^(1)x3^(1)`	`q^(1)`	`{"0": [1, 1, 1, 1], "1": [1, 1, 1, 1, -1, 1, -1, 1], "2": [1, 1, 1, 1, 1, -1]}`	(-q)x1^(1/2)x2x3 + (-q)x1^(1/2)x2x3^(2) + (-q)x1^(1/2)x2x3^(3) + (-q)x1^(1/2)x2x3^(4) + (-q)x1^(1/2)x2x3^(5) + (-q)x1^(1/2)x2^(2)x3 + (-q + 1)x1^(1/2)x2^(2)x3^(2) + (-q + 1 + q^(-1))x1^(1/2)x2^(2)x3^(3) + (-q + 1 + q^(-1) + q^(-2))x1^(1/2)x2^(2)x3^(4) + (-q + 1 + q^(-1) + q^(-2) + q^(-3))x1^(1/2)x2^(2)x3^(5) + (-q)x1^(1/2)x2^(3)x3 + (-q + 1 + q^(-1))x1^(1/2)x2^(3)x3^(2) + (-q + 1 + 2q^(-1))x1^(1/2)x2^(3)x3^(3) + (-q + 1 + 2q^(-1) + q^(-2) - q^(-4))x1^(1/2)x2^(3)x3^(4) + (-q + 1 + 2q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))x1^(1/2)x2^(3)x3^(5) + (-q)x1^(1/2)x2^(4)x3 + (-q + 1 + q^(-1) + q^(-2))x1^(1/2)x2^(4)x3^(2) + (-q + 1 + 2q^(-1) + q^(-2) - q^(-4))x1^(1/2)x2^(4)x3^(3) + (-q + 1 + 2q^(-1) + 2q^(-2) - 2q^(-4) - q^(-5) - q^(-6))x1^(1/2)x2^(4)x3^(4) + (-q + 1 + 2q^(-1) + 2q^(-2) + q^(-3) - 2q^(-4) - 2q^(-5) - 3q^(-6) - q^(-7))x1^(1/2)x2^(4)x3^(5) + (-q)x1^(1/2)x2^(5)x3 + (-q + 1 + q^(-1) + q^(-2) + q^(-3))x1^(1/2)x2^(5)x3^(2) + (-q + 1 + 2q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))x1^(1/2)x2^(5)x3^(3) + (-q + 1 + 2q^(-1) + 2q^(-2) + q^(-3) - 2q^(-4) - 2q^(-5) - 3q^(-6) - q^(-7))x1^(1/2)x2^(5)x3^(4) + (-q + 1 + 2q^(-1) + 2q^(-2) + 2q^(-3) - 2q^(-4) - 3q^(-5) - 5q^(-6) - 3q^(-7) - q^(-8) + q^(-10) + q^(-11))x1^(1/2)x2^(5)x3^(5) + (-2q^(3))x1^(3/2)x2^(2)x3^(2) + (-q^(4) - 2q^(3))x1^(3/2)x2^(2)x3^(3) + (-q^(5) - q^(4) - 2q^(3))x1^(3/2)x2^(2)x3^(4) + (-q^(6) - q^(5) - q^(4) - 2q^(3))x1^(3/2)x2^(2)x3^(5) + (-q^(4) - 2q^(3))x1^(3/2)x2^(3)x3^(2) + (-2q^(4) - 2q^(3) + 2q^(2) + q)x1^(3/2)x2^(3)x3^(3) + (-q^(5) - 2q^(4) - q^(3) + 3q^(2) + 3q + 1)x1^(3/2)x2^(3)x3^(4) + (-q^(6) - q^(5) - q^(4) + 4q^(2) + 4q + 31 + q^(-1))x1^(3/2)x2^(3)x3^(5) + (-q^(5) - q^(4) - 2q^(3))x1^(3/2)x2^(4)x3^(2) + (-q^(5) - 2q^(4) - q^(3) + 3q^(2) + 3q + 1)x1^(3/2)x2^(4)x3^(3) + (-2q^(5) - 2q^(4) + 6q^(2) + 7q + 21 - q^(-2))x1^(3/2)x2^(4)x3^(4) + (-q^(6) - 2q^(5) - q^(4) + 2q^(3) + 8q^(2) + 9q + 51 - 3q^(-2) - 2q^(-3) - q^(-4))x1^(3/2)x2^(4)x3^(5) + (-q^(6) - q^(5) - q^(4) - 2q^(3))x1^(3/2)x2^(5)x3^(2) + (-q^(6) - q^(5) - q^(4) + 4q^(2) + 4q + 31 + q^(-1))x1^(3/2)x2^(5)x3^(3) + (-q^(6) - 2q^(5) - q^(4) + 2q^(3) + 8q^(2) + 9q + 51 - 3q^(-2) - 2q^(-3) - q^(-4))x1^(3/2)x2^(5)x3^(4) + (-2q^(6) - 2q^(5) + 4q^(3) + 12q^(2) + 13q + 81 - 2q^(-1) - 9q^(-2) - 8q^(-3) - 6q^(-4) - 2q^(-5))x1^(3/2)x2^(5)x3^(5) + (-3q^(7) - q^(6))x1^(5/2)x2^(3)x3^(3) + (-q^(9) - 2q^(8) - 4q^(7) - q^(6))x1^(5/2)x2^(3)x3^(4) + (-q^(11) - q^(10) - 3q^(9) - 3q^(8) - 4q^(7) - q^(6))x1^(5/2)x2^(3)x3^(5) + (-q^(9) - 2q^(8) - 4q^(7) - q^(6))x1^(5/2)x2^(4)x3^(3) + (-3q^(9) - 5q^(8) - 5q^(7) + 2q^(6) + 3q^(5) + 2q^(4))x1^(5/2)x2^(4)x3^(4) + (-q^(11) - 2q^(10) - 6q^(9) - 5q^(8) - 2q^(7) + 6q^(6) + 8q^(5) + 5q^(4) + 2q^(3))x1^(5/2)x2^(4)x3^(5) + (-q^(11) - q^(10) - 3q^(9) - 3q^(8) - 4q^(7) - q^(6))x1^(5/2)x2^(5)x3^(3) + (-q^(11) - 2q^(10) - 6q^(9) - 5q^(8) - 2q^(7) + 6q^(6) + 8q^(5) + 5q^(4) + 2q^(3))x1^(5/2)x2^(5)x3^(4) + (-3q^(11) - 5q^(10) - 9q^(9) - 4q^(8) + 6q^(7) + 18q^(6) + 21q^(5) + 12q^(4) + 4q^(3) - 2q^(2) - 2q - 1)x1^(5/2)x2^(5)x3^(5) + (-4q^(13) - 2q^(12) - 2q^(11))x1^(7/2)x2^(4)x3^(4) + (-q^(16) - 2q^(15) - 4q^(14) - 7q^(13) - 4q^(12) - 2q^(11))x1^(7/2)x2^(4)x3^(5) + (-q^(16) - 2q^(15) - 4q^(14) - 7q^(13) - 4q^(12) - 2q^(11))x1^(7/2)x2^(5)x3^(4) + (-4q^(16) - 8q^(15) - 12q^(14) - 12q^(13) - 2q^(12) + 3q^(11) + 6q^(10) + 4q^(9) + q^(8))x1^(7/2)x2^(5)x3^(5) + (-5q^(21) - 3q^(20) - 4q^(19) - 3q^(18) - q^(17))x1^(9/2)x2^(5)*x3^(5)
`(1/2, 1, 1)`		`x1^(-1/2)x2^(-1)x3^(-1)`	`q^(1)`		(-q)x1^(-1/2)x2^(-1)x3^(-1) + (-q)x1^(-1/2)x2^(-1)x3^(-2) + (-q)x1^(-1/2)x2^(-1)x3^(-3) + (-q)x1^(-1/2)x2^(-1)x3^(-4) + (-q)x1^(-1/2)x2^(-1)x3^(-5) + (-q)x1^(-1/2)x2^(-2)x3^(-1) + (-q + 1)x1^(-1/2)x2^(-2)x3^(-2) + (-q + 1 + q^(-1))x1^(-1/2)x2^(-2)x3^(-3) + (-q + 1 + q^(-1) + q^(-2))x1^(-1/2)x2^(-2)x3^(-4) + (-q + 1 + q^(-1) + q^(-2) + q^(-3))x1^(-1/2)x2^(-2)x3^(-5) + (-q)x1^(-1/2)x2^(-3)x3^(-1) + (-q + 1 + q^(-1))x1^(-1/2)x2^(-3)x3^(-2) + (-q + 1 + 2q^(-1))x1^(-1/2)x2^(-3)x3^(-3) + (-q + 1 + 2q^(-1) + q^(-2) - q^(-4))x1^(-1/2)x2^(-3)x3^(-4) + (-q + 1 + 2q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))x1^(-1/2)x2^(-3)x3^(-5) + (-q)x1^(-1/2)x2^(-4)x3^(-1) + (-q + 1 + q^(-1) + q^(-2))x1^(-1/2)x2^(-4)x3^(-2) + (-q + 1 + 2q^(-1) + q^(-2) - q^(-4))x1^(-1/2)x2^(-4)x3^(-3) + (-q + 1 + 2q^(-1) + 2q^(-2) - 2q^(-4) - q^(-5) - q^(-6))x1^(-1/2)x2^(-4)x3^(-4) + (-q + 1 + 2q^(-1) + 2q^(-2) + q^(-3) - 2q^(-4) - 2q^(-5) - 3q^(-6) - q^(-7))x1^(-1/2)x2^(-4)x3^(-5) + (-q)x1^(-1/2)x2^(-5)x3^(-1) + (-q + 1 + q^(-1) + q^(-2) + q^(-3))x1^(-1/2)x2^(-5)x3^(-2) + (-q + 1 + 2q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))x1^(-1/2)x2^(-5)x3^(-3) + (-q + 1 + 2q^(-1) + 2q^(-2) + q^(-3) - 2q^(-4) - 2q^(-5) - 3q^(-6) - q^(-7))x1^(-1/2)x2^(-5)x3^(-4) + (-q + 1 + 2q^(-1) + 2q^(-2) + 2q^(-3) - 2q^(-4) - 3q^(-5) - 5q^(-6) - 3q^(-7) - q^(-8) + q^(-10) + q^(-11))x1^(-1/2)x2^(-5)x3^(-5) + (-2q^(3))x1^(-3/2)x2^(-2)x3^(-2) + (-q^(4) - 2q^(3))x1^(-3/2)x2^(-2)x3^(-3) + (-q^(5) - q^(4) - 2q^(3))x1^(-3/2)x2^(-2)x3^(-4) + (-q^(6) - q^(5) - q^(4) - 2q^(3))x1^(-3/2)x2^(-2)x3^(-5) + (-q^(4) - 2q^(3))x1^(-3/2)x2^(-3)x3^(-2) + (-2q^(4) - 2q^(3) + 2q^(2) + q)x1^(-3/2)x2^(-3)x3^(-3) + (-q^(5) - 2q^(4) - q^(3) + 3q^(2) + 3q + 1)x1^(-3/2)x2^(-3)x3^(-4) + (-q^(6) - q^(5) - q^(4) + 4q^(2) + 4q + 31 + q^(-1))x1^(-3/2)x2^(-3)x3^(-5) + (-q^(5) - q^(4) - 2q^(3))x1^(-3/2)x2^(-4)x3^(-2) + (-q^(5) - 2q^(4) - q^(3) + 3q^(2) + 3q + 1)x1^(-3/2)x2^(-4)x3^(-3) + (-2q^(5) - 2q^(4) + 6q^(2) + 7q + 21 - q^(-2))x1^(-3/2)x2^(-4)x3^(-4) + (-q^(6) - 2q^(5) - q^(4) + 2q^(3) + 8q^(2) + 9q + 51 - 3q^(-2) - 2q^(-3) - q^(-4))x1^(-3/2)x2^(-4)x3^(-5) + (-q^(6) - q^(5) - q^(4) - 2q^(3))x1^(-3/2)x2^(-5)x3^(-2) + (-q^(6) - q^(5) - q^(4) + 4q^(2) + 4q + 31 + q^(-1))x1^(-3/2)x2^(-5)x3^(-3) + (-q^(6) - 2q^(5) - q^(4) + 2q^(3) + 8q^(2) + 9q + 51 - 3q^(-2) - 2q^(-3) - q^(-4))x1^(-3/2)x2^(-5)x3^(-4) + (-2q^(6) - 2q^(5) + 4q^(3) + 12q^(2) + 13q + 81 - 2q^(-1) - 9q^(-2) - 8q^(-3) - 6q^(-4) - 2q^(-5))x1^(-3/2)x2^(-5)x3^(-5) + (-3q^(7) - q^(6))x1^(-5/2)x2^(-3)x3^(-3) + (-q^(9) - 2q^(8) - 4q^(7) - q^(6))x1^(-5/2)x2^(-3)x3^(-4) + (-q^(11) - q^(10) - 3q^(9) - 3q^(8) - 4q^(7) - q^(6))x1^(-5/2)x2^(-3)x3^(-5) + (-q^(9) - 2q^(8) - 4q^(7) - q^(6))x1^(-5/2)x2^(-4)x3^(-3) + (-3q^(9) - 5q^(8) - 5q^(7) + 2q^(6) + 3q^(5) + 2q^(4))x1^(-5/2)x2^(-4)x3^(-4) + (-q^(11) - 2q^(10) - 6q^(9) - 5q^(8) - 2q^(7) + 6q^(6) + 8q^(5) + 5q^(4) + 2q^(3))x1^(-5/2)x2^(-4)x3^(-5) + (-q^(11) - q^(10) - 3q^(9) - 3q^(8) - 4q^(7) - q^(6))x1^(-5/2)x2^(-5)x3^(-3) + (-q^(11) - 2q^(10) - 6q^(9) - 5q^(8) - 2q^(7) + 6q^(6) + 8q^(5) + 5q^(4) + 2q^(3))x1^(-5/2)x2^(-5)x3^(-4) + (-3q^(11) - 5q^(10) - 9q^(9) - 4q^(8) + 6q^(7) + 18q^(6) + 21q^(5) + 12q^(4) + 4q^(3) - 2q^(2) - 2q - 1)x1^(-5/2)x2^(-5)x3^(-5) + (-4q^(13) - 2q^(12) - 2q^(11))x1^(-7/2)x2^(-4)x3^(-4) + (-q^(16) - 2q^(15) - 4q^(14) - 7q^(13) - 4q^(12) - 2q^(11))x1^(-7/2)x2^(-4)x3^(-5) + (-q^(16) - 2q^(15) - 4q^(14) - 7q^(13) - 4q^(12) - 2q^(11))x1^(-7/2)x2^(-5)x3^(-4) + (-4q^(16) - 8q^(15) - 12q^(14) - 12q^(13) - 2q^(12) + 3q^(11) + 6q^(10) + 4q^(9) + q^(8))x1^(-7/2)x2^(-5)x3^(-5) + (-5q^(21) - 3q^(20) - 4q^(19) - 3q^(18) - q^(17))x1^(-9/2)x2^(-5)*x3^(-5)

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

(1, 1, 1)

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

q^(1)

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

(-q)*x1^(1/2)*x2*x3 + (-q)*x1^(1/2)*x2*x3^(2) + (-q)*x1^(1/2)*x2*x3^(3) + (-q)*x1^(1/2)*x2*x3^(4) + (-q)*x1^(1/2)*x2*x3^(5) + (-q)*x1^(1/2)*x2^(2)*x3 + (-q + 1)*x1^(1/2)*x2^(2)*x3^(2) + (-q + 1 + q^(-1))*x1^(1/2)*x2^(2)*x3^(3) + (-q + 1 + q^(-1) + q^(-2))*x1^(1/2)*x2^(2)*x3^(4) + (-q + 1 + q^(-1) + q^(-2) + q^(-3))*x1^(1/2)*x2^(2)*x3^(5) + (-q)*x1^(1/2)*x2^(3)*x3 + (-q + 1 + q^(-1))*x1^(1/2)*x2^(3)*x3^(2) + (-q + 1 + 2*q^(-1))*x1^(1/2)*x2^(3)*x3^(3) + (-q + 1 + 2*q^(-1) + q^(-2) - q^(-4))*x1^(1/2)*x2^(3)*x3^(4) + (-q + 1 + 2*q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))*x1^(1/2)*x2^(3)*x3^(5) + (-q)*x1^(1/2)*x2^(4)*x3 + (-q + 1 + q^(-1) + q^(-2))*x1^(1/2)*x2^(4)*x3^(2) + (-q + 1 + 2*q^(-1) + q^(-2) - q^(-4))*x1^(1/2)*x2^(4)*x3^(3) + (-q + 1 + 2*q^(-1) + 2*q^(-2) - 2*q^(-4) - q^(-5) - q^(-6))*x1^(1/2)*x2^(4)*x3^(4) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + q^(-3) - 2*q^(-4) - 2*q^(-5) - 3*q^(-6) - q^(-7))*x1^(1/2)*x2^(4)*x3^(5) + (-q)*x1^(1/2)*x2^(5)*x3 + (-q + 1 + q^(-1) + q^(-2) + q^(-3))*x1^(1/2)*x2^(5)*x3^(2) + (-q + 1 + 2*q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))*x1^(1/2)*x2^(5)*x3^(3) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + q^(-3) - 2*q^(-4) - 2*q^(-5) - 3*q^(-6) - q^(-7))*x1^(1/2)*x2^(5)*x3^(4) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + 2*q^(-3) - 2*q^(-4) - 3*q^(-5) - 5*q^(-6) - 3*q^(-7) - q^(-8) + q^(-10) + q^(-11))*x1^(1/2)*x2^(5)*x3^(5) + (-2*q^(3))*x1^(3/2)*x2^(2)*x3^(2) + (-q^(4) - 2*q^(3))*x1^(3/2)*x2^(2)*x3^(3) + (-q^(5) - q^(4) - 2*q^(3))*x1^(3/2)*x2^(2)*x3^(4) + (-q^(6) - q^(5) - q^(4) - 2*q^(3))*x1^(3/2)*x2^(2)*x3^(5) + (-q^(4) - 2*q^(3))*x1^(3/2)*x2^(3)*x3^(2) + (-2*q^(4) - 2*q^(3) + 2*q^(2) + q)*x1^(3/2)*x2^(3)*x3^(3) + (-q^(5) - 2*q^(4) - q^(3) + 3*q^(2) + 3*q + 1)*x1^(3/2)*x2^(3)*x3^(4) + (-q^(6) - q^(5) - q^(4) + 4*q^(2) + 4*q + 3*1 + q^(-1))*x1^(3/2)*x2^(3)*x3^(5) + (-q^(5) - q^(4) - 2*q^(3))*x1^(3/2)*x2^(4)*x3^(2) + (-q^(5) - 2*q^(4) - q^(3) + 3*q^(2) + 3*q + 1)*x1^(3/2)*x2^(4)*x3^(3) + (-2*q^(5) - 2*q^(4) + 6*q^(2) + 7*q + 2*1 - q^(-2))*x1^(3/2)*x2^(4)*x3^(4) + (-q^(6) - 2*q^(5) - q^(4) + 2*q^(3) + 8*q^(2) + 9*q + 5*1 - 3*q^(-2) - 2*q^(-3) - q^(-4))*x1^(3/2)*x2^(4)*x3^(5) + (-q^(6) - q^(5) - q^(4) - 2*q^(3))*x1^(3/2)*x2^(5)*x3^(2) + (-q^(6) - q^(5) - q^(4) + 4*q^(2) + 4*q + 3*1 + q^(-1))*x1^(3/2)*x2^(5)*x3^(3) + (-q^(6) - 2*q^(5) - q^(4) + 2*q^(3) + 8*q^(2) + 9*q + 5*1 - 3*q^(-2) - 2*q^(-3) - q^(-4))*x1^(3/2)*x2^(5)*x3^(4) + (-2*q^(6) - 2*q^(5) + 4*q^(3) + 12*q^(2) + 13*q + 8*1 - 2*q^(-1) - 9*q^(-2) - 8*q^(-3) - 6*q^(-4) - 2*q^(-5))*x1^(3/2)*x2^(5)*x3^(5) + (-3*q^(7) - q^(6))*x1^(5/2)*x2^(3)*x3^(3) + (-q^(9) - 2*q^(8) - 4*q^(7) - q^(6))*x1^(5/2)*x2^(3)*x3^(4) + (-q^(11) - q^(10) - 3*q^(9) - 3*q^(8) - 4*q^(7) - q^(6))*x1^(5/2)*x2^(3)*x3^(5) + (-q^(9) - 2*q^(8) - 4*q^(7) - q^(6))*x1^(5/2)*x2^(4)*x3^(3) + (-3*q^(9) - 5*q^(8) - 5*q^(7) + 2*q^(6) + 3*q^(5) + 2*q^(4))*x1^(5/2)*x2^(4)*x3^(4) + (-q^(11) - 2*q^(10) - 6*q^(9) - 5*q^(8) - 2*q^(7) + 6*q^(6) + 8*q^(5) + 5*q^(4) + 2*q^(3))*x1^(5/2)*x2^(4)*x3^(5) + (-q^(11) - q^(10) - 3*q^(9) - 3*q^(8) - 4*q^(7) - q^(6))*x1^(5/2)*x2^(5)*x3^(3) + (-q^(11) - 2*q^(10) - 6*q^(9) - 5*q^(8) - 2*q^(7) + 6*q^(6) + 8*q^(5) + 5*q^(4) + 2*q^(3))*x1^(5/2)*x2^(5)*x3^(4) + (-3*q^(11) - 5*q^(10) - 9*q^(9) - 4*q^(8) + 6*q^(7) + 18*q^(6) + 21*q^(5) + 12*q^(4) + 4*q^(3) - 2*q^(2) - 2*q - 1)*x1^(5/2)*x2^(5)*x3^(5) + (-4*q^(13) - 2*q^(12) - 2*q^(11))*x1^(7/2)*x2^(4)*x3^(4) + (-q^(16) - 2*q^(15) - 4*q^(14) - 7*q^(13) - 4*q^(12) - 2*q^(11))*x1^(7/2)*x2^(4)*x3^(5) + (-q^(16) - 2*q^(15) - 4*q^(14) - 7*q^(13) - 4*q^(12) - 2*q^(11))*x1^(7/2)*x2^(5)*x3^(4) + (-4*q^(16) - 8*q^(15) - 12*q^(14) - 12*q^(13) - 2*q^(12) + 3*q^(11) + 6*q^(10) + 4*q^(9) + q^(8))*x1^(7/2)*x2^(5)*x3^(5) + (-5*q^(21) - 3*q^(20) - 4*q^(19) - 3*q^(18) - q^(17))*x1^(9/2)*x2^(5)*x3^(5)

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

(1, 1, 1)

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

q^(1)

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

(-q)*x1^(1/2)*x2*x3 + (-q)*x1^(1/2)*x2*x3^(2) + (-q)*x1^(1/2)*x2*x3^(3) + (-q)*x1^(1/2)*x2*x3^(4) + (-q)*x1^(1/2)*x2*x3^(5) + (-q)*x1^(1/2)*x2^(2)*x3 + (-q + 1)*x1^(1/2)*x2^(2)*x3^(2) + (-q + 1 + q^(-1))*x1^(1/2)*x2^(2)*x3^(3) + (-q + 1 + q^(-1) + q^(-2))*x1^(1/2)*x2^(2)*x3^(4) + (-q + 1 + q^(-1) + q^(-2) + q^(-3))*x1^(1/2)*x2^(2)*x3^(5) + (-q)*x1^(1/2)*x2^(3)*x3 + (-q + 1 + q^(-1))*x1^(1/2)*x2^(3)*x3^(2) + (-q + 1 + 2*q^(-1))*x1^(1/2)*x2^(3)*x3^(3) + (-q + 1 + 2*q^(-1) + q^(-2) - q^(-4))*x1^(1/2)*x2^(3)*x3^(4) + (-q + 1 + 2*q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))*x1^(1/2)*x2^(3)*x3^(5) + (-q)*x1^(1/2)*x2^(4)*x3 + (-q + 1 + q^(-1) + q^(-2))*x1^(1/2)*x2^(4)*x3^(2) + (-q + 1 + 2*q^(-1) + q^(-2) - q^(-4))*x1^(1/2)*x2^(4)*x3^(3) + (-q + 1 + 2*q^(-1) + 2*q^(-2) - 2*q^(-4) - q^(-5) - q^(-6))*x1^(1/2)*x2^(4)*x3^(4) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + q^(-3) - 2*q^(-4) - 2*q^(-5) - 3*q^(-6) - q^(-7))*x1^(1/2)*x2^(4)*x3^(5) + (-q)*x1^(1/2)*x2^(5)*x3 + (-q + 1 + q^(-1) + q^(-2) + q^(-3))*x1^(1/2)*x2^(5)*x3^(2) + (-q + 1 + 2*q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))*x1^(1/2)*x2^(5)*x3^(3) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + q^(-3) - 2*q^(-4) - 2*q^(-5) - 3*q^(-6) - q^(-7))*x1^(1/2)*x2^(5)*x3^(4) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + 2*q^(-3) - 2*q^(-4) - 3*q^(-5) - 5*q^(-6) - 3*q^(-7) - q^(-8) + q^(-10) + q^(-11))*x1^(1/2)*x2^(5)*x3^(5) + (-2*q^(3))*x1^(3/2)*x2^(2)*x3^(2) + (-q^(4) - 2*q^(3))*x1^(3/2)*x2^(2)*x3^(3) + (-q^(5) - q^(4) - 2*q^(3))*x1^(3/2)*x2^(2)*x3^(4) + (-q^(6) - q^(5) - q^(4) - 2*q^(3))*x1^(3/2)*x2^(2)*x3^(5) + (-q^(4) - 2*q^(3))*x1^(3/2)*x2^(3)*x3^(2) + (-2*q^(4) - 2*q^(3) + 2*q^(2) + q)*x1^(3/2)*x2^(3)*x3^(3) + (-q^(5) - 2*q^(4) - q^(3) + 3*q^(2) + 3*q + 1)*x1^(3/2)*x2^(3)*x3^(4) + (-q^(6) - q^(5) - q^(4) + 4*q^(2) + 4*q + 3*1 + q^(-1))*x1^(3/2)*x2^(3)*x3^(5) + (-q^(5) - q^(4) - 2*q^(3))*x1^(3/2)*x2^(4)*x3^(2) + (-q^(5) - 2*q^(4) - q^(3) + 3*q^(2) + 3*q + 1)*x1^(3/2)*x2^(4)*x3^(3) + (-2*q^(5) - 2*q^(4) + 6*q^(2) + 7*q + 2*1 - q^(-2))*x1^(3/2)*x2^(4)*x3^(4) + (-q^(6) - 2*q^(5) - q^(4) + 2*q^(3) + 8*q^(2) + 9*q + 5*1 - 3*q^(-2) - 2*q^(-3) - q^(-4))*x1^(3/2)*x2^(4)*x3^(5) + (-q^(6) - q^(5) - q^(4) - 2*q^(3))*x1^(3/2)*x2^(5)*x3^(2) + (-q^(6) - q^(5) - q^(4) + 4*q^(2) + 4*q + 3*1 + q^(-1))*x1^(3/2)*x2^(5)*x3^(3) + (-q^(6) - 2*q^(5) - q^(4) + 2*q^(3) + 8*q^(2) + 9*q + 5*1 - 3*q^(-2) - 2*q^(-3) - q^(-4))*x1^(3/2)*x2^(5)*x3^(4) + (-2*q^(6) - 2*q^(5) + 4*q^(3) + 12*q^(2) + 13*q + 8*1 - 2*q^(-1) - 9*q^(-2) - 8*q^(-3) - 6*q^(-4) - 2*q^(-5))*x1^(3/2)*x2^(5)*x3^(5) + (-3*q^(7) - q^(6))*x1^(5/2)*x2^(3)*x3^(3) + (-q^(9) - 2*q^(8) - 4*q^(7) - q^(6))*x1^(5/2)*x2^(3)*x3^(4) + (-q^(11) - q^(10) - 3*q^(9) - 3*q^(8) - 4*q^(7) - q^(6))*x1^(5/2)*x2^(3)*x3^(5) + (-q^(9) - 2*q^(8) - 4*q^(7) - q^(6))*x1^(5/2)*x2^(4)*x3^(3) + (-3*q^(9) - 5*q^(8) - 5*q^(7) + 2*q^(6) + 3*q^(5) + 2*q^(4))*x1^(5/2)*x2^(4)*x3^(4) + (-q^(11) - 2*q^(10) - 6*q^(9) - 5*q^(8) - 2*q^(7) + 6*q^(6) + 8*q^(5) + 5*q^(4) + 2*q^(3))*x1^(5/2)*x2^(4)*x3^(5) + (-q^(11) - q^(10) - 3*q^(9) - 3*q^(8) - 4*q^(7) - q^(6))*x1^(5/2)*x2^(5)*x3^(3) + (-q^(11) - 2*q^(10) - 6*q^(9) - 5*q^(8) - 2*q^(7) + 6*q^(6) + 8*q^(5) + 5*q^(4) + 2*q^(3))*x1^(5/2)*x2^(5)*x3^(4) + (-3*q^(11) - 5*q^(10) - 9*q^(9) - 4*q^(8) + 6*q^(7) + 18*q^(6) + 21*q^(5) + 12*q^(4) + 4*q^(3) - 2*q^(2) - 2*q - 1)*x1^(5/2)*x2^(5)*x3^(5) + (-4*q^(13) - 2*q^(12) - 2*q^(11))*x1^(7/2)*x2^(4)*x3^(4) + (-q^(16) - 2*q^(15) - 4*q^(14) - 7*q^(13) - 4*q^(12) - 2*q^(11))*x1^(7/2)*x2^(4)*x3^(5) + (-q^(16) - 2*q^(15) - 4*q^(14) - 7*q^(13) - 4*q^(12) - 2*q^(11))*x1^(7/2)*x2^(5)*x3^(4) + (-4*q^(16) - 8*q^(15) - 12*q^(14) - 12*q^(13) - 2*q^(12) + 3*q^(11) + 6*q^(10) + 4*q^(9) + q^(8))*x1^(7/2)*x2^(5)*x3^(5) + (-5*q^(21) - 3*q^(20) - 4*q^(19) - 3*q^(18) - q^(17))*x1^(9/2)*x2^(5)*x3^(5)

(1/2, 1, 1)

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

q^(1)

(-q)*x1^(-1/2)*x2^(-1)*x3^(-1) + (-q)*x1^(-1/2)*x2^(-1)*x3^(-2) + (-q)*x1^(-1/2)*x2^(-1)*x3^(-3) + (-q)*x1^(-1/2)*x2^(-1)*x3^(-4) + (-q)*x1^(-1/2)*x2^(-1)*x3^(-5) + (-q)*x1^(-1/2)*x2^(-2)*x3^(-1) + (-q + 1)*x1^(-1/2)*x2^(-2)*x3^(-2) + (-q + 1 + q^(-1))*x1^(-1/2)*x2^(-2)*x3^(-3) + (-q + 1 + q^(-1) + q^(-2))*x1^(-1/2)*x2^(-2)*x3^(-4) + (-q + 1 + q^(-1) + q^(-2) + q^(-3))*x1^(-1/2)*x2^(-2)*x3^(-5) + (-q)*x1^(-1/2)*x2^(-3)*x3^(-1) + (-q + 1 + q^(-1))*x1^(-1/2)*x2^(-3)*x3^(-2) + (-q + 1 + 2*q^(-1))*x1^(-1/2)*x2^(-3)*x3^(-3) + (-q + 1 + 2*q^(-1) + q^(-2) - q^(-4))*x1^(-1/2)*x2^(-3)*x3^(-4) + (-q + 1 + 2*q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))*x1^(-1/2)*x2^(-3)*x3^(-5) + (-q)*x1^(-1/2)*x2^(-4)*x3^(-1) + (-q + 1 + q^(-1) + q^(-2))*x1^(-1/2)*x2^(-4)*x3^(-2) + (-q + 1 + 2*q^(-1) + q^(-2) - q^(-4))*x1^(-1/2)*x2^(-4)*x3^(-3) + (-q + 1 + 2*q^(-1) + 2*q^(-2) - 2*q^(-4) - q^(-5) - q^(-6))*x1^(-1/2)*x2^(-4)*x3^(-4) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + q^(-3) - 2*q^(-4) - 2*q^(-5) - 3*q^(-6) - q^(-7))*x1^(-1/2)*x2^(-4)*x3^(-5) + (-q)*x1^(-1/2)*x2^(-5)*x3^(-1) + (-q + 1 + q^(-1) + q^(-2) + q^(-3))*x1^(-1/2)*x2^(-5)*x3^(-2) + (-q + 1 + 2*q^(-1) + q^(-2) + q^(-3) - q^(-4) - q^(-5) - q^(-6))*x1^(-1/2)*x2^(-5)*x3^(-3) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + q^(-3) - 2*q^(-4) - 2*q^(-5) - 3*q^(-6) - q^(-7))*x1^(-1/2)*x2^(-5)*x3^(-4) + (-q + 1 + 2*q^(-1) + 2*q^(-2) + 2*q^(-3) - 2*q^(-4) - 3*q^(-5) - 5*q^(-6) - 3*q^(-7) - q^(-8) + q^(-10) + q^(-11))*x1^(-1/2)*x2^(-5)*x3^(-5) + (-2*q^(3))*x1^(-3/2)*x2^(-2)*x3^(-2) + (-q^(4) - 2*q^(3))*x1^(-3/2)*x2^(-2)*x3^(-3) + (-q^(5) - q^(4) - 2*q^(3))*x1^(-3/2)*x2^(-2)*x3^(-4) + (-q^(6) - q^(5) - q^(4) - 2*q^(3))*x1^(-3/2)*x2^(-2)*x3^(-5) + (-q^(4) - 2*q^(3))*x1^(-3/2)*x2^(-3)*x3^(-2) + (-2*q^(4) - 2*q^(3) + 2*q^(2) + q)*x1^(-3/2)*x2^(-3)*x3^(-3) + (-q^(5) - 2*q^(4) - q^(3) + 3*q^(2) + 3*q + 1)*x1^(-3/2)*x2^(-3)*x3^(-4) + (-q^(6) - q^(5) - q^(4) + 4*q^(2) + 4*q + 3*1 + q^(-1))*x1^(-3/2)*x2^(-3)*x3^(-5) + (-q^(5) - q^(4) - 2*q^(3))*x1^(-3/2)*x2^(-4)*x3^(-2) + (-q^(5) - 2*q^(4) - q^(3) + 3*q^(2) + 3*q + 1)*x1^(-3/2)*x2^(-4)*x3^(-3) + (-2*q^(5) - 2*q^(4) + 6*q^(2) + 7*q + 2*1 - q^(-2))*x1^(-3/2)*x2^(-4)*x3^(-4) + (-q^(6) - 2*q^(5) - q^(4) + 2*q^(3) + 8*q^(2) + 9*q + 5*1 - 3*q^(-2) - 2*q^(-3) - q^(-4))*x1^(-3/2)*x2^(-4)*x3^(-5) + (-q^(6) - q^(5) - q^(4) - 2*q^(3))*x1^(-3/2)*x2^(-5)*x3^(-2) + (-q^(6) - q^(5) - q^(4) + 4*q^(2) + 4*q + 3*1 + q^(-1))*x1^(-3/2)*x2^(-5)*x3^(-3) + (-q^(6) - 2*q^(5) - q^(4) + 2*q^(3) + 8*q^(2) + 9*q + 5*1 - 3*q^(-2) - 2*q^(-3) - q^(-4))*x1^(-3/2)*x2^(-5)*x3^(-4) + (-2*q^(6) - 2*q^(5) + 4*q^(3) + 12*q^(2) + 13*q + 8*1 - 2*q^(-1) - 9*q^(-2) - 8*q^(-3) - 6*q^(-4) - 2*q^(-5))*x1^(-3/2)*x2^(-5)*x3^(-5) + (-3*q^(7) - q^(6))*x1^(-5/2)*x2^(-3)*x3^(-3) + (-q^(9) - 2*q^(8) - 4*q^(7) - q^(6))*x1^(-5/2)*x2^(-3)*x3^(-4) + (-q^(11) - q^(10) - 3*q^(9) - 3*q^(8) - 4*q^(7) - q^(6))*x1^(-5/2)*x2^(-3)*x3^(-5) + (-q^(9) - 2*q^(8) - 4*q^(7) - q^(6))*x1^(-5/2)*x2^(-4)*x3^(-3) + (-3*q^(9) - 5*q^(8) - 5*q^(7) + 2*q^(6) + 3*q^(5) + 2*q^(4))*x1^(-5/2)*x2^(-4)*x3^(-4) + (-q^(11) - 2*q^(10) - 6*q^(9) - 5*q^(8) - 2*q^(7) + 6*q^(6) + 8*q^(5) + 5*q^(4) + 2*q^(3))*x1^(-5/2)*x2^(-4)*x3^(-5) + (-q^(11) - q^(10) - 3*q^(9) - 3*q^(8) - 4*q^(7) - q^(6))*x1^(-5/2)*x2^(-5)*x3^(-3) + (-q^(11) - 2*q^(10) - 6*q^(9) - 5*q^(8) - 2*q^(7) + 6*q^(6) + 8*q^(5) + 5*q^(4) + 2*q^(3))*x1^(-5/2)*x2^(-5)*x3^(-4) + (-3*q^(11) - 5*q^(10) - 9*q^(9) - 4*q^(8) + 6*q^(7) + 18*q^(6) + 21*q^(5) + 12*q^(4) + 4*q^(3) - 2*q^(2) - 2*q - 1)*x1^(-5/2)*x2^(-5)*x3^(-5) + (-4*q^(13) - 2*q^(12) - 2*q^(11))*x1^(-7/2)*x2^(-4)*x3^(-4) + (-q^(16) - 2*q^(15) - 4*q^(14) - 7*q^(13) - 4*q^(12) - 2*q^(11))*x1^(-7/2)*x2^(-4)*x3^(-5) + (-q^(16) - 2*q^(15) - 4*q^(14) - 7*q^(13) - 4*q^(12) - 2*q^(11))*x1^(-7/2)*x2^(-5)*x3^(-4) + (-4*q^(16) - 8*q^(15) - 12*q^(14) - 12*q^(13) - 2*q^(12) + 3*q^(11) + 6*q^(10) + 4*q^(9) + q^(8))*x1^(-7/2)*x2^(-5)*x3^(-5) + (-5*q^(21) - 3*q^(20) - 4*q^(19) - 3*q^(18) - q^(17))*x1^(-9/2)*x2^(-5)*x3^(-5)

Braid

Braid word	Components	Crossings	Strands
`[1, 2, 1, 2, 1, -3, 2, -3, -3]`	3	9	4

Multivariable Alexander polynomial

Δ_L
`A1^(1/2)A2A3 - A1^(1/2)A2 - A1^(1/2)A3 + 2A1^(1/2) - 2A1^(-1/2) + A1^(-1/2)A3^(-1) + A1^(-1/2)A2^(-1) - A1^(-1/2)A2^(-1)A3^(-1)`

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, 0, 2)`	yes
`(-1, 0, -2)`	yes
`(1, 2, 0)`	yes
`(-1, -2, -2)`	yes
`(1, 0, 0)`	no
`(-1, 0, 0)`	no
`(1, 2, 2)`	yes
`(-1, -2, 0)`	yes

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HFL polytope

Poincaré polynomial
m^(-6)A1^(-1)A2^(-3/2)A3^(-3/2) + 2m^(-5)A1^(-1)A2^(-3/2)A3^(-1/2) + 2m^(-5)A1^(-1)A2^(-1/2)A3^(-3/2) + m^(-5)A2^(-3/2)A3^(-3/2) + m^(-4)A1^(-1)A2^(-3/2)A3^(1/2) + 5m^(-4)A1^(-1)A2^(-1/2)A3^(-1/2) + m^(-4)A1^(-1)A2^(1/2)A3^(-3/2) + 2m^(-4)A2^(-3/2)A3^(-1/2) + 2m^(-4)A2^(-1/2)A3^(-3/2) + 3m^(-3)A1^(-1)A2^(-1/2)A3^(1/2) + 3m^(-3)A1^(-1)A2^(1/2)A3^(-1/2) + m^(-3)A2^(-3/2)A3^(1/2) + 7m^(-3)A2^(-1/2)A3^(-1/2) + m^(-3)A2^(1/2)A3^(-3/2) + 2m^(-2)A1^(-1)A2^(1/2)A3^(1/2) + 6m^(-2)A2^(-1/2)A3^(1/2) + 6m^(-2)A2^(1/2)A3^(-1/2) + 2m^(-2)A1A2^(-1/2)A3^(-1/2) + m^(-1)A2^(-1/2)A3^(3/2) + 7m^(-1)A2^(1/2)A3^(1/2) + m^(-1)A2^(3/2)A3^(-1/2) + 3m^(-1)A1A2^(-1/2)A3^(1/2) + 3m^(-1)A1A2^(1/2)A3^(-1/2) + 2A2^(1/2)A3^(3/2) + 2A2^(3/2)A3^(1/2) + A1A2^(-1/2)A3^(3/2) + 5A1A2^(1/2)A3^(1/2) + A1A2^(3/2)A3^(-1/2) + mA2^(3/2)A3^(3/2) + 2mA1A2^(1/2)A3^(3/2) + 2mA1A2^(3/2)A3^(1/2) + m^2A1A2^(3/2)*A3^(3/2)

Vertex	Maslov	Rank
`(-1, -3/2, -3/2)`	-6	1
`(-1, -3/2, 1/2)`	-4	1
`(-1, 1/2, -3/2)`	-4	1
`(-1, 1/2, 1/2)`	-2	2
`(0, -3/2, -3/2)`	-5	1
`(0, -3/2, 1/2)`	-3	1
`(0, -1/2, 3/2)`	-1	1
`(0, 1/2, -3/2)`	-3	1
`(0, 3/2, -1/2)`	-1	1
`(0, 3/2, 3/2)`	1	1
`(1, -1/2, -1/2)`	-2	2
`(1, -1/2, 3/2)`	0	1
`(1, 3/2, -1/2)`	0	1
`(1, 3/2, 3/2)`	2	1

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Record

FL/HFL Links

`orderOption(int)`	`1951`
`namestring`	`L9n24{1;0}`
`statusstring`	`success`
`slugstring`	`L9n24_1_0_de83048b`
`result_filestring`	`details/L9n24_1_0_de83048b.json`
`complexity_scoreOption(int)`	`243`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`9`
`component_countOption(int)`	`3`
`girthOption(int)`	`6`
`total_rankOption(int)`	`80`
`wall_secondsOption(float)`	`0.001741`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`3`
`support_sizeOption(int)`	`32`
`vertex_countOption(int)`	`14`
`fibered_vertex_countOption(int)`	`6`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`8`
`alexander_vertex_countOption(int)`	`8`
`alexander_relationstring`	`not_computed`
`fk_countint`	`2`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L9n24_1_0_de83048b" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L9n24_1_0_de83048b`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions