L10n46{0} - HFL and FL

details/L10n46_0_aad0dd79.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
`(0, -2)`	`(1, 1)`	`x1^(0)x2^(2)`	`q^(-3/2)`	`{"0": [-1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1], "1": [-1, -1, -1, -1, -1, -1]}`	(-q^(-3/2))x2^(2) + (-2q^(-3/2))x2^(3) + (-q^(1/2))x1^(-1)x2^(4) + (-3q^(-3/2))x2^(4) + (-q^(-7/2))x1x2^(4) + (-2q^(3/2) - 2q^(1/2))x1^(-1)x2^(5) + (-6q^(-3/2))x2^(5) + (-2q^(-7/2) - 2q^(-9/2))x1x2^(5) + (-q^(9/2))x1^(-2)x2^(6) + (-3q^(5/2) - 4q^(3/2) - 3q^(1/2))x1^(-1)x2^(6) + (-2q^(-1/2) - 10q^(-3/2) - 2q^(-5/2))x2^(6) + (-3q^(-7/2) - 4q^(-9/2) - 3q^(-11/2))x1x2^(6) + (-q^(-15/2))x1^(2)x2^(6) + (-2q^(13/2) - 2q^(11/2) - 2q^(9/2))x1^(-2)x2^(7) + (-4q^(7/2) - 8q^(5/2) - 8q^(3/2) - 4q^(1/2))x1^(-1)x2^(7) + (-2q^(1/2) - 6q^(-1/2) - 18q^(-3/2) - 6q^(-5/2) - 2q^(-7/2))x2^(7) + (-4q^(-7/2) - 8q^(-9/2) - 8q^(-11/2) - 4q^(-13/2))x1x2^(7) + (-2q^(-15/2) - 2q^(-17/2) - 2q^(-19/2))x1^(2)x2^(7) + (-q^(21/2))x1^(-3)x2^(8) + (-3q^(17/2) - 4q^(15/2) - 7q^(13/2) - 4q^(11/2) - 3q^(9/2))x1^(-2)x2^(8) + (-7q^(9/2) - 14q^(7/2) - 18q^(5/2) - 14q^(3/2) - 7q^(1/2))x1^(-1)x2^(8) + (-2q^(3/2) - 7q^(1/2) - 16q^(-1/2) - 33q^(-3/2) - 16q^(-5/2) - 7q^(-7/2) - 2q^(-9/2))x2^(8) + (-7q^(-7/2) - 14q^(-9/2) - 18q^(-11/2) - 14q^(-13/2) - 7q^(-15/2))x1x2^(8) + (-3q^(-15/2) - 4q^(-17/2) - 7q^(-19/2) - 4q^(-21/2) - 3q^(-23/2))x1^(2)x2^(8) + (-q^(-27/2))x1^(3)x2^(8) + (-2q^(27/2) - 2q^(25/2) - 2q^(23/2) - 2q^(21/2))x1^(-3)x2^(9) + (-4q^(21/2) - 6q^(19/2) - 14q^(17/2) - 14q^(15/2) - 14q^(13/2) - 6q^(11/2) - 4q^(9/2))x1^(-2)x2^(9) + (-2q^(13/2) - 12q^(11/2) - 26q^(9/2) - 36q^(7/2) - 36q^(5/2) - 26q^(3/2) - 12q^(1/2) - 2q^(-1/2))x1^(-1)x2^(9) + (-2q^(5/2) - 8q^(3/2) - 22q^(1/2) - 38q^(-1/2) - 62q^(-3/2) - 38q^(-5/2) - 22q^(-7/2) - 8q^(-9/2) - 2q^(-11/2))x2^(9) + (-2q^(-5/2) - 12q^(-7/2) - 26q^(-9/2) - 36q^(-11/2) - 36q^(-13/2) - 26q^(-15/2) - 12q^(-17/2) - 2q^(-19/2))x1x2^(9) + (-4q^(-15/2) - 6q^(-17/2) - 14q^(-19/2) - 14q^(-21/2) - 14q^(-23/2) - 6q^(-25/2) - 4q^(-27/2))x1^(2)x2^(9) + (-2q^(-27/2) - 2q^(-29/2) - 2q^(-31/2) - 2q^(-33/2))x1^(3)*x2^(9)
`(0, -2)`	`(1, 1)`	`x1^(0)x2^(2)`	`q^(-3/2)`	`{"0": [1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1], "1": [-1, -1, -1, -1, -1, -1]}`	(-q^(-3/2))x2^(2) + (-2q^(-3/2))x2^(3) + (-q^(1/2))x1^(-1)x2^(4) + (-3q^(-3/2))x2^(4) + (-q^(-7/2))x1x2^(4) + (-2q^(3/2) - 2q^(1/2))x1^(-1)x2^(5) + (-6q^(-3/2))x2^(5) + (-2q^(-7/2) - 2q^(-9/2))x1x2^(5) + (-q^(9/2))x1^(-2)x2^(6) + (-3q^(5/2) - 4q^(3/2) - 3q^(1/2))x1^(-1)x2^(6) + (-2q^(-1/2) - 10q^(-3/2) - 2q^(-5/2))x2^(6) + (-3q^(-7/2) - 4q^(-9/2) - 3q^(-11/2))x1x2^(6) + (-q^(-15/2))x1^(2)x2^(6) + (-2q^(13/2) - 2q^(11/2) - 2q^(9/2))x1^(-2)x2^(7) + (-4q^(7/2) - 8q^(5/2) - 8q^(3/2) - 4q^(1/2))x1^(-1)x2^(7) + (-2q^(1/2) - 6q^(-1/2) - 18q^(-3/2) - 6q^(-5/2) - 2q^(-7/2))x2^(7) + (-4q^(-7/2) - 8q^(-9/2) - 8q^(-11/2) - 4q^(-13/2))x1x2^(7) + (-2q^(-15/2) - 2q^(-17/2) - 2q^(-19/2))x1^(2)x2^(7) + (-q^(21/2))x1^(-3)x2^(8) + (-3q^(17/2) - 4q^(15/2) - 7q^(13/2) - 4q^(11/2) - 3q^(9/2))x1^(-2)x2^(8) + (-7q^(9/2) - 14q^(7/2) - 18q^(5/2) - 14q^(3/2) - 7q^(1/2))x1^(-1)x2^(8) + (-2q^(3/2) - 7q^(1/2) - 16q^(-1/2) - 33q^(-3/2) - 16q^(-5/2) - 7q^(-7/2) - 2q^(-9/2))x2^(8) + (-7q^(-7/2) - 14q^(-9/2) - 18q^(-11/2) - 14q^(-13/2) - 7q^(-15/2))x1x2^(8) + (-3q^(-15/2) - 4q^(-17/2) - 7q^(-19/2) - 4q^(-21/2) - 3q^(-23/2))x1^(2)x2^(8) + (-q^(-27/2))x1^(3)x2^(8) + (-2q^(27/2) - 2q^(25/2) - 2q^(23/2) - 2q^(21/2))x1^(-3)x2^(9) + (-4q^(21/2) - 6q^(19/2) - 14q^(17/2) - 14q^(15/2) - 14q^(13/2) - 6q^(11/2) - 4q^(9/2))x1^(-2)x2^(9) + (-2q^(13/2) - 12q^(11/2) - 26q^(9/2) - 36q^(7/2) - 36q^(5/2) - 26q^(3/2) - 12q^(1/2) - 2q^(-1/2))x1^(-1)x2^(9) + (-2q^(5/2) - 8q^(3/2) - 22q^(1/2) - 38q^(-1/2) - 62q^(-3/2) - 38q^(-5/2) - 22q^(-7/2) - 8q^(-9/2) - 2q^(-11/2))x2^(9) + (-2q^(-5/2) - 12q^(-7/2) - 26q^(-9/2) - 36q^(-11/2) - 36q^(-13/2) - 26q^(-15/2) - 12q^(-17/2) - 2q^(-19/2))x1x2^(9) + (-4q^(-15/2) - 6q^(-17/2) - 14q^(-19/2) - 14q^(-21/2) - 14q^(-23/2) - 6q^(-25/2) - 4q^(-27/2))x1^(2)x2^(9) + (-2q^(-27/2) - 2q^(-29/2) - 2q^(-31/2) - 2q^(-33/2))x1^(3)*x2^(9)
`(0, 2)`		`x1^(0)x2^(-2)`	`q^(-3/2)`		(-q^(-3/2))x2^(-2) + (-2q^(-3/2))x2^(-3) + (-q^(1/2))x1x2^(-4) + (-3q^(-3/2))x2^(-4) + (-q^(-7/2))x1^(-1)x2^(-4) + (-2q^(3/2) - 2q^(1/2))x1x2^(-5) + (-6q^(-3/2))x2^(-5) + (-2q^(-7/2) - 2q^(-9/2))x1^(-1)x2^(-5) + (-q^(9/2))x1^(2)x2^(-6) + (-3q^(5/2) - 4q^(3/2) - 3q^(1/2))x1x2^(-6) + (-2q^(-1/2) - 10q^(-3/2) - 2q^(-5/2))x2^(-6) + (-3q^(-7/2) - 4q^(-9/2) - 3q^(-11/2))x1^(-1)x2^(-6) + (-q^(-15/2))x1^(-2)x2^(-6) + (-2q^(13/2) - 2q^(11/2) - 2q^(9/2))x1^(2)x2^(-7) + (-4q^(7/2) - 8q^(5/2) - 8q^(3/2) - 4q^(1/2))x1x2^(-7) + (-2q^(1/2) - 6q^(-1/2) - 18q^(-3/2) - 6q^(-5/2) - 2q^(-7/2))x2^(-7) + (-4q^(-7/2) - 8q^(-9/2) - 8q^(-11/2) - 4q^(-13/2))x1^(-1)x2^(-7) + (-2q^(-15/2) - 2q^(-17/2) - 2q^(-19/2))x1^(-2)x2^(-7) + (-q^(21/2))x1^(3)x2^(-8) + (-3q^(17/2) - 4q^(15/2) - 7q^(13/2) - 4q^(11/2) - 3q^(9/2))x1^(2)x2^(-8) + (-7q^(9/2) - 14q^(7/2) - 18q^(5/2) - 14q^(3/2) - 7q^(1/2))x1x2^(-8) + (-2q^(3/2) - 7q^(1/2) - 16q^(-1/2) - 33q^(-3/2) - 16q^(-5/2) - 7q^(-7/2) - 2q^(-9/2))x2^(-8) + (-7q^(-7/2) - 14q^(-9/2) - 18q^(-11/2) - 14q^(-13/2) - 7q^(-15/2))x1^(-1)x2^(-8) + (-3q^(-15/2) - 4q^(-17/2) - 7q^(-19/2) - 4q^(-21/2) - 3q^(-23/2))x1^(-2)x2^(-8) + (-q^(-27/2))x1^(-3)x2^(-8) + (-2q^(27/2) - 2q^(25/2) - 2q^(23/2) - 2q^(21/2))x1^(3)x2^(-9) + (-4q^(21/2) - 6q^(19/2) - 14q^(17/2) - 14q^(15/2) - 14q^(13/2) - 6q^(11/2) - 4q^(9/2))x1^(2)x2^(-9) + (-2q^(13/2) - 12q^(11/2) - 26q^(9/2) - 36q^(7/2) - 36q^(5/2) - 26q^(3/2) - 12q^(1/2) - 2q^(-1/2))x1x2^(-9) + (-2q^(5/2) - 8q^(3/2) - 22q^(1/2) - 38q^(-1/2) - 62q^(-3/2) - 38q^(-5/2) - 22q^(-7/2) - 8q^(-9/2) - 2q^(-11/2))x2^(-9) + (-2q^(-5/2) - 12q^(-7/2) - 26q^(-9/2) - 36q^(-11/2) - 36q^(-13/2) - 26q^(-15/2) - 12q^(-17/2) - 2q^(-19/2))x1^(-1)x2^(-9) + (-4q^(-15/2) - 6q^(-17/2) - 14q^(-19/2) - 14q^(-21/2) - 14q^(-23/2) - 6q^(-25/2) - 4q^(-27/2))x1^(-2)x2^(-9) + (-2q^(-27/2) - 2q^(-29/2) - 2q^(-31/2) - 2q^(-33/2))x1^(-3)*x2^(-9)

(0, -2)

(1, 1)

x1^(0)x2^(2)

q^(-3/2)

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

(-q^(-3/2))*x2^(2) + (-2*q^(-3/2))*x2^(3) + (-q^(1/2))*x1^(-1)*x2^(4) + (-3*q^(-3/2))*x2^(4) + (-q^(-7/2))*x1*x2^(4) + (-2*q^(3/2) - 2*q^(1/2))*x1^(-1)*x2^(5) + (-6*q^(-3/2))*x2^(5) + (-2*q^(-7/2) - 2*q^(-9/2))*x1*x2^(5) + (-q^(9/2))*x1^(-2)*x2^(6) + (-3*q^(5/2) - 4*q^(3/2) - 3*q^(1/2))*x1^(-1)*x2^(6) + (-2*q^(-1/2) - 10*q^(-3/2) - 2*q^(-5/2))*x2^(6) + (-3*q^(-7/2) - 4*q^(-9/2) - 3*q^(-11/2))*x1*x2^(6) + (-q^(-15/2))*x1^(2)*x2^(6) + (-2*q^(13/2) - 2*q^(11/2) - 2*q^(9/2))*x1^(-2)*x2^(7) + (-4*q^(7/2) - 8*q^(5/2) - 8*q^(3/2) - 4*q^(1/2))*x1^(-1)*x2^(7) + (-2*q^(1/2) - 6*q^(-1/2) - 18*q^(-3/2) - 6*q^(-5/2) - 2*q^(-7/2))*x2^(7) + (-4*q^(-7/2) - 8*q^(-9/2) - 8*q^(-11/2) - 4*q^(-13/2))*x1*x2^(7) + (-2*q^(-15/2) - 2*q^(-17/2) - 2*q^(-19/2))*x1^(2)*x2^(7) + (-q^(21/2))*x1^(-3)*x2^(8) + (-3*q^(17/2) - 4*q^(15/2) - 7*q^(13/2) - 4*q^(11/2) - 3*q^(9/2))*x1^(-2)*x2^(8) + (-7*q^(9/2) - 14*q^(7/2) - 18*q^(5/2) - 14*q^(3/2) - 7*q^(1/2))*x1^(-1)*x2^(8) + (-2*q^(3/2) - 7*q^(1/2) - 16*q^(-1/2) - 33*q^(-3/2) - 16*q^(-5/2) - 7*q^(-7/2) - 2*q^(-9/2))*x2^(8) + (-7*q^(-7/2) - 14*q^(-9/2) - 18*q^(-11/2) - 14*q^(-13/2) - 7*q^(-15/2))*x1*x2^(8) + (-3*q^(-15/2) - 4*q^(-17/2) - 7*q^(-19/2) - 4*q^(-21/2) - 3*q^(-23/2))*x1^(2)*x2^(8) + (-q^(-27/2))*x1^(3)*x2^(8) + (-2*q^(27/2) - 2*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(-3)*x2^(9) + (-4*q^(21/2) - 6*q^(19/2) - 14*q^(17/2) - 14*q^(15/2) - 14*q^(13/2) - 6*q^(11/2) - 4*q^(9/2))*x1^(-2)*x2^(9) + (-2*q^(13/2) - 12*q^(11/2) - 26*q^(9/2) - 36*q^(7/2) - 36*q^(5/2) - 26*q^(3/2) - 12*q^(1/2) - 2*q^(-1/2))*x1^(-1)*x2^(9) + (-2*q^(5/2) - 8*q^(3/2) - 22*q^(1/2) - 38*q^(-1/2) - 62*q^(-3/2) - 38*q^(-5/2) - 22*q^(-7/2) - 8*q^(-9/2) - 2*q^(-11/2))*x2^(9) + (-2*q^(-5/2) - 12*q^(-7/2) - 26*q^(-9/2) - 36*q^(-11/2) - 36*q^(-13/2) - 26*q^(-15/2) - 12*q^(-17/2) - 2*q^(-19/2))*x1*x2^(9) + (-4*q^(-15/2) - 6*q^(-17/2) - 14*q^(-19/2) - 14*q^(-21/2) - 14*q^(-23/2) - 6*q^(-25/2) - 4*q^(-27/2))*x1^(2)*x2^(9) + (-2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2))*x1^(3)*x2^(9)

(0, -2)

(1, 1)

x1^(0)x2^(2)

q^(-3/2)

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

(-q^(-3/2))*x2^(2) + (-2*q^(-3/2))*x2^(3) + (-q^(1/2))*x1^(-1)*x2^(4) + (-3*q^(-3/2))*x2^(4) + (-q^(-7/2))*x1*x2^(4) + (-2*q^(3/2) - 2*q^(1/2))*x1^(-1)*x2^(5) + (-6*q^(-3/2))*x2^(5) + (-2*q^(-7/2) - 2*q^(-9/2))*x1*x2^(5) + (-q^(9/2))*x1^(-2)*x2^(6) + (-3*q^(5/2) - 4*q^(3/2) - 3*q^(1/2))*x1^(-1)*x2^(6) + (-2*q^(-1/2) - 10*q^(-3/2) - 2*q^(-5/2))*x2^(6) + (-3*q^(-7/2) - 4*q^(-9/2) - 3*q^(-11/2))*x1*x2^(6) + (-q^(-15/2))*x1^(2)*x2^(6) + (-2*q^(13/2) - 2*q^(11/2) - 2*q^(9/2))*x1^(-2)*x2^(7) + (-4*q^(7/2) - 8*q^(5/2) - 8*q^(3/2) - 4*q^(1/2))*x1^(-1)*x2^(7) + (-2*q^(1/2) - 6*q^(-1/2) - 18*q^(-3/2) - 6*q^(-5/2) - 2*q^(-7/2))*x2^(7) + (-4*q^(-7/2) - 8*q^(-9/2) - 8*q^(-11/2) - 4*q^(-13/2))*x1*x2^(7) + (-2*q^(-15/2) - 2*q^(-17/2) - 2*q^(-19/2))*x1^(2)*x2^(7) + (-q^(21/2))*x1^(-3)*x2^(8) + (-3*q^(17/2) - 4*q^(15/2) - 7*q^(13/2) - 4*q^(11/2) - 3*q^(9/2))*x1^(-2)*x2^(8) + (-7*q^(9/2) - 14*q^(7/2) - 18*q^(5/2) - 14*q^(3/2) - 7*q^(1/2))*x1^(-1)*x2^(8) + (-2*q^(3/2) - 7*q^(1/2) - 16*q^(-1/2) - 33*q^(-3/2) - 16*q^(-5/2) - 7*q^(-7/2) - 2*q^(-9/2))*x2^(8) + (-7*q^(-7/2) - 14*q^(-9/2) - 18*q^(-11/2) - 14*q^(-13/2) - 7*q^(-15/2))*x1*x2^(8) + (-3*q^(-15/2) - 4*q^(-17/2) - 7*q^(-19/2) - 4*q^(-21/2) - 3*q^(-23/2))*x1^(2)*x2^(8) + (-q^(-27/2))*x1^(3)*x2^(8) + (-2*q^(27/2) - 2*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(-3)*x2^(9) + (-4*q^(21/2) - 6*q^(19/2) - 14*q^(17/2) - 14*q^(15/2) - 14*q^(13/2) - 6*q^(11/2) - 4*q^(9/2))*x1^(-2)*x2^(9) + (-2*q^(13/2) - 12*q^(11/2) - 26*q^(9/2) - 36*q^(7/2) - 36*q^(5/2) - 26*q^(3/2) - 12*q^(1/2) - 2*q^(-1/2))*x1^(-1)*x2^(9) + (-2*q^(5/2) - 8*q^(3/2) - 22*q^(1/2) - 38*q^(-1/2) - 62*q^(-3/2) - 38*q^(-5/2) - 22*q^(-7/2) - 8*q^(-9/2) - 2*q^(-11/2))*x2^(9) + (-2*q^(-5/2) - 12*q^(-7/2) - 26*q^(-9/2) - 36*q^(-11/2) - 36*q^(-13/2) - 26*q^(-15/2) - 12*q^(-17/2) - 2*q^(-19/2))*x1*x2^(9) + (-4*q^(-15/2) - 6*q^(-17/2) - 14*q^(-19/2) - 14*q^(-21/2) - 14*q^(-23/2) - 6*q^(-25/2) - 4*q^(-27/2))*x1^(2)*x2^(9) + (-2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2))*x1^(3)*x2^(9)

(0, 2)

x1^(0)x2^(-2)

q^(-3/2)

(-q^(-3/2))*x2^(-2) + (-2*q^(-3/2))*x2^(-3) + (-q^(1/2))*x1*x2^(-4) + (-3*q^(-3/2))*x2^(-4) + (-q^(-7/2))*x1^(-1)*x2^(-4) + (-2*q^(3/2) - 2*q^(1/2))*x1*x2^(-5) + (-6*q^(-3/2))*x2^(-5) + (-2*q^(-7/2) - 2*q^(-9/2))*x1^(-1)*x2^(-5) + (-q^(9/2))*x1^(2)*x2^(-6) + (-3*q^(5/2) - 4*q^(3/2) - 3*q^(1/2))*x1*x2^(-6) + (-2*q^(-1/2) - 10*q^(-3/2) - 2*q^(-5/2))*x2^(-6) + (-3*q^(-7/2) - 4*q^(-9/2) - 3*q^(-11/2))*x1^(-1)*x2^(-6) + (-q^(-15/2))*x1^(-2)*x2^(-6) + (-2*q^(13/2) - 2*q^(11/2) - 2*q^(9/2))*x1^(2)*x2^(-7) + (-4*q^(7/2) - 8*q^(5/2) - 8*q^(3/2) - 4*q^(1/2))*x1*x2^(-7) + (-2*q^(1/2) - 6*q^(-1/2) - 18*q^(-3/2) - 6*q^(-5/2) - 2*q^(-7/2))*x2^(-7) + (-4*q^(-7/2) - 8*q^(-9/2) - 8*q^(-11/2) - 4*q^(-13/2))*x1^(-1)*x2^(-7) + (-2*q^(-15/2) - 2*q^(-17/2) - 2*q^(-19/2))*x1^(-2)*x2^(-7) + (-q^(21/2))*x1^(3)*x2^(-8) + (-3*q^(17/2) - 4*q^(15/2) - 7*q^(13/2) - 4*q^(11/2) - 3*q^(9/2))*x1^(2)*x2^(-8) + (-7*q^(9/2) - 14*q^(7/2) - 18*q^(5/2) - 14*q^(3/2) - 7*q^(1/2))*x1*x2^(-8) + (-2*q^(3/2) - 7*q^(1/2) - 16*q^(-1/2) - 33*q^(-3/2) - 16*q^(-5/2) - 7*q^(-7/2) - 2*q^(-9/2))*x2^(-8) + (-7*q^(-7/2) - 14*q^(-9/2) - 18*q^(-11/2) - 14*q^(-13/2) - 7*q^(-15/2))*x1^(-1)*x2^(-8) + (-3*q^(-15/2) - 4*q^(-17/2) - 7*q^(-19/2) - 4*q^(-21/2) - 3*q^(-23/2))*x1^(-2)*x2^(-8) + (-q^(-27/2))*x1^(-3)*x2^(-8) + (-2*q^(27/2) - 2*q^(25/2) - 2*q^(23/2) - 2*q^(21/2))*x1^(3)*x2^(-9) + (-4*q^(21/2) - 6*q^(19/2) - 14*q^(17/2) - 14*q^(15/2) - 14*q^(13/2) - 6*q^(11/2) - 4*q^(9/2))*x1^(2)*x2^(-9) + (-2*q^(13/2) - 12*q^(11/2) - 26*q^(9/2) - 36*q^(7/2) - 36*q^(5/2) - 26*q^(3/2) - 12*q^(1/2) - 2*q^(-1/2))*x1*x2^(-9) + (-2*q^(5/2) - 8*q^(3/2) - 22*q^(1/2) - 38*q^(-1/2) - 62*q^(-3/2) - 38*q^(-5/2) - 22*q^(-7/2) - 8*q^(-9/2) - 2*q^(-11/2))*x2^(-9) + (-2*q^(-5/2) - 12*q^(-7/2) - 26*q^(-9/2) - 36*q^(-11/2) - 36*q^(-13/2) - 26*q^(-15/2) - 12*q^(-17/2) - 2*q^(-19/2))*x1^(-1)*x2^(-9) + (-4*q^(-15/2) - 6*q^(-17/2) - 14*q^(-19/2) - 14*q^(-21/2) - 14*q^(-23/2) - 6*q^(-25/2) - 4*q^(-27/2))*x1^(-2)*x2^(-9) + (-2*q^(-27/2) - 2*q^(-29/2) - 2*q^(-31/2) - 2*q^(-33/2))*x1^(-3)*x2^(-9)

Braid

Braid word	Components	Crossings	Strands
`[-1, -2, 3, -2, -1, -2, -2, -3, 2, -3]`	2	10	4

Multivariable Alexander polynomial

Δ_L
`-A1 + A2^(2) - 2A2 + 1 - 2A2^(-1) + A2^(-2) - A1^(-1)`

Warning: the A1, A2, … basis used for the HFL and Alexander data might not match the x1, x2, … basis used for F_L.

Dual Thurston polytope

Vertex	Dual to fibered face
`(0, -4)`	yes
`(2, 0)`	yes
`(0, 4)`	yes
`(-2, 0)`	yes

HFL polytope

Poincaré polynomial
`m^(-2)A1^(-1/2)A2^(-5/2) + m^(-1)A1^(-3/2)A2^(-1/2) + 3m^(-1)A1^(-1/2)A2^(-3/2) + m^(-1)A1^(1/2)A2^(-5/2) + A1^(-3/2)A2^(1/2) + 4A1^(-1/2)A2^(-1/2) + 3A1^(1/2)A2^(-3/2) + 4mA1^(-1/2)A2^(1/2) + 4mA1^(1/2)A2^(-1/2) + 3m^2A1^(-1/2)A2^(3/2) + 4m^2A1^(1/2)A2^(1/2) + m^2A1^(3/2)A2^(-1/2) + m^3A1^(-1/2)A2^(5/2) + 3m^3A1^(1/2)A2^(3/2) + m^3A1^(3/2)A2^(1/2) + m^4A1^(1/2)*A2^(5/2)`

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

Record

FL/HFL Links

`orderOption(int)`	`559`
`namestring`	`L10n46{0}`
`statusstring`	`success`
`slugstring`	`L10n46_0_aad0dd79`
`result_filestring`	`details/L10n46_0_aad0dd79.json`
`complexity_scoreOption(int)`	`200`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`10`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`36`
`wall_secondsOption(float)`	`0.002169`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`2`
`support_sizeOption(int)`	`16`
`vertex_countOption(int)`	`8`
`fibered_vertex_countOption(int)`	`4`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`7`
`alexander_vertex_countOption(int)`	`4`
`alexander_relationstring`	`not_computed`
`fk_countint`	`4`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L10n46_0_aad0dd79" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L10n46_0_aad0dd79`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions