L10n46{1} - HFL and FL

details/L10n46_1_a19f9898.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^(-1/2) - 2q^(-3/2))x1^(-1)x2^(5) + (-6q^(3/2))x2^(5) + (-2q^(9/2) - 2q^(7/2))x1x2^(5) + (-q^(-9/2))x1^(-2)x2^(6) + (-3q^(-1/2) - 4q^(-3/2) - 3q^(-5/2))x1^(-1)x2^(6) + (-2q^(5/2) - 10q^(3/2) - 2q^(1/2))x2^(6) + (-3q^(11/2) - 4q^(9/2) - 3q^(7/2))x1x2^(6) + (-q^(15/2))x1^(2)x2^(6) + (-2q^(-9/2) - 2q^(-11/2) - 2q^(-13/2))x1^(-2)x2^(7) + (-4q^(-1/2) - 8q^(-3/2) - 8q^(-5/2) - 4q^(-7/2))x1^(-1)x2^(7) + (-2q^(7/2) - 6q^(5/2) - 18q^(3/2) - 6q^(1/2) - 2q^(-1/2))x2^(7) + (-4q^(13/2) - 8q^(11/2) - 8q^(9/2) - 4q^(7/2))x1x2^(7) + (-2q^(19/2) - 2q^(17/2) - 2q^(15/2))x1^(2)x2^(7) + (-q^(-21/2))x1^(-3)x2^(8) + (-3q^(-9/2) - 4q^(-11/2) - 7q^(-13/2) - 4q^(-15/2) - 3q^(-17/2))x1^(-2)x2^(8) + (-7q^(-1/2) - 14q^(-3/2) - 18q^(-5/2) - 14q^(-7/2) - 7q^(-9/2))x1^(-1)x2^(8) + (-2q^(9/2) - 7q^(7/2) - 16q^(5/2) - 33q^(3/2) - 16q^(1/2) - 7q^(-1/2) - 2q^(-3/2))x2^(8) + (-7q^(15/2) - 14q^(13/2) - 18q^(11/2) - 14q^(9/2) - 7q^(7/2))x1x2^(8) + (-3q^(23/2) - 4q^(21/2) - 7q^(19/2) - 4q^(17/2) - 3q^(15/2))x1^(2)x2^(8) + (-q^(27/2))x1^(3)x2^(8) + (-2q^(-21/2) - 2q^(-23/2) - 2q^(-25/2) - 2q^(-27/2))x1^(-3)x2^(9) + (-4q^(-9/2) - 6q^(-11/2) - 14q^(-13/2) - 14q^(-15/2) - 14q^(-17/2) - 6q^(-19/2) - 4q^(-21/2))x1^(-2)x2^(9) + (-2q^(1/2) - 12q^(-1/2) - 26q^(-3/2) - 36q^(-5/2) - 36q^(-7/2) - 26q^(-9/2) - 12q^(-11/2) - 2q^(-13/2))x1^(-1)x2^(9) + (-2q^(11/2) - 8q^(9/2) - 22q^(7/2) - 38q^(5/2) - 62q^(3/2) - 38q^(1/2) - 22q^(-1/2) - 8q^(-3/2) - 2q^(-5/2))x2^(9) + (-2q^(19/2) - 12q^(17/2) - 26q^(15/2) - 36q^(13/2) - 36q^(11/2) - 26q^(9/2) - 12q^(7/2) - 2q^(5/2))x1x2^(9) + (-4q^(27/2) - 6q^(25/2) - 14q^(23/2) - 14q^(21/2) - 14q^(19/2) - 6q^(17/2) - 4q^(15/2))x1^(2)x2^(9) + (-2q^(33/2) - 2q^(31/2) - 2q^(29/2) - 2q^(27/2))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^(-1/2) - 2q^(-3/2))x1^(-1)x2^(5) + (-6q^(3/2))x2^(5) + (-2q^(9/2) - 2q^(7/2))x1x2^(5) + (-q^(-9/2))x1^(-2)x2^(6) + (-3q^(-1/2) - 4q^(-3/2) - 3q^(-5/2))x1^(-1)x2^(6) + (-2q^(5/2) - 10q^(3/2) - 2q^(1/2))x2^(6) + (-3q^(11/2) - 4q^(9/2) - 3q^(7/2))x1x2^(6) + (-q^(15/2))x1^(2)x2^(6) + (-2q^(-9/2) - 2q^(-11/2) - 2q^(-13/2))x1^(-2)x2^(7) + (-4q^(-1/2) - 8q^(-3/2) - 8q^(-5/2) - 4q^(-7/2))x1^(-1)x2^(7) + (-2q^(7/2) - 6q^(5/2) - 18q^(3/2) - 6q^(1/2) - 2q^(-1/2))x2^(7) + (-4q^(13/2) - 8q^(11/2) - 8q^(9/2) - 4q^(7/2))x1x2^(7) + (-2q^(19/2) - 2q^(17/2) - 2q^(15/2))x1^(2)x2^(7) + (-q^(-21/2))x1^(-3)x2^(8) + (-3q^(-9/2) - 4q^(-11/2) - 7q^(-13/2) - 4q^(-15/2) - 3q^(-17/2))x1^(-2)x2^(8) + (-7q^(-1/2) - 14q^(-3/2) - 18q^(-5/2) - 14q^(-7/2) - 7q^(-9/2))x1^(-1)x2^(8) + (-2q^(9/2) - 7q^(7/2) - 16q^(5/2) - 33q^(3/2) - 16q^(1/2) - 7q^(-1/2) - 2q^(-3/2))x2^(8) + (-7q^(15/2) - 14q^(13/2) - 18q^(11/2) - 14q^(9/2) - 7q^(7/2))x1x2^(8) + (-3q^(23/2) - 4q^(21/2) - 7q^(19/2) - 4q^(17/2) - 3q^(15/2))x1^(2)x2^(8) + (-q^(27/2))x1^(3)x2^(8) + (-2q^(-21/2) - 2q^(-23/2) - 2q^(-25/2) - 2q^(-27/2))x1^(-3)x2^(9) + (-4q^(-9/2) - 6q^(-11/2) - 14q^(-13/2) - 14q^(-15/2) - 14q^(-17/2) - 6q^(-19/2) - 4q^(-21/2))x1^(-2)x2^(9) + (-2q^(1/2) - 12q^(-1/2) - 26q^(-3/2) - 36q^(-5/2) - 36q^(-7/2) - 26q^(-9/2) - 12q^(-11/2) - 2q^(-13/2))x1^(-1)x2^(9) + (-2q^(11/2) - 8q^(9/2) - 22q^(7/2) - 38q^(5/2) - 62q^(3/2) - 38q^(1/2) - 22q^(-1/2) - 8q^(-3/2) - 2q^(-5/2))x2^(9) + (-2q^(19/2) - 12q^(17/2) - 26q^(15/2) - 36q^(13/2) - 36q^(11/2) - 26q^(9/2) - 12q^(7/2) - 2q^(5/2))x1x2^(9) + (-4q^(27/2) - 6q^(25/2) - 14q^(23/2) - 14q^(21/2) - 14q^(19/2) - 6q^(17/2) - 4q^(15/2))x1^(2)x2^(9) + (-2q^(33/2) - 2q^(31/2) - 2q^(29/2) - 2q^(27/2))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^(-1/2) - 2q^(-3/2))x1x2^(-5) + (-6q^(3/2))x2^(-5) + (-2q^(9/2) - 2q^(7/2))x1^(-1)x2^(-5) + (-q^(-9/2))x1^(2)x2^(-6) + (-3q^(-1/2) - 4q^(-3/2) - 3q^(-5/2))x1x2^(-6) + (-2q^(5/2) - 10q^(3/2) - 2q^(1/2))x2^(-6) + (-3q^(11/2) - 4q^(9/2) - 3q^(7/2))x1^(-1)x2^(-6) + (-q^(15/2))x1^(-2)x2^(-6) + (-2q^(-9/2) - 2q^(-11/2) - 2q^(-13/2))x1^(2)x2^(-7) + (-4q^(-1/2) - 8q^(-3/2) - 8q^(-5/2) - 4q^(-7/2))x1x2^(-7) + (-2q^(7/2) - 6q^(5/2) - 18q^(3/2) - 6q^(1/2) - 2q^(-1/2))x2^(-7) + (-4q^(13/2) - 8q^(11/2) - 8q^(9/2) - 4q^(7/2))x1^(-1)x2^(-7) + (-2q^(19/2) - 2q^(17/2) - 2q^(15/2))x1^(-2)x2^(-7) + (-q^(-21/2))x1^(3)x2^(-8) + (-3q^(-9/2) - 4q^(-11/2) - 7q^(-13/2) - 4q^(-15/2) - 3q^(-17/2))x1^(2)x2^(-8) + (-7q^(-1/2) - 14q^(-3/2) - 18q^(-5/2) - 14q^(-7/2) - 7q^(-9/2))x1x2^(-8) + (-2q^(9/2) - 7q^(7/2) - 16q^(5/2) - 33q^(3/2) - 16q^(1/2) - 7q^(-1/2) - 2q^(-3/2))x2^(-8) + (-7q^(15/2) - 14q^(13/2) - 18q^(11/2) - 14q^(9/2) - 7q^(7/2))x1^(-1)x2^(-8) + (-3q^(23/2) - 4q^(21/2) - 7q^(19/2) - 4q^(17/2) - 3q^(15/2))x1^(-2)x2^(-8) + (-q^(27/2))x1^(-3)x2^(-8) + (-2q^(-21/2) - 2q^(-23/2) - 2q^(-25/2) - 2q^(-27/2))x1^(3)x2^(-9) + (-4q^(-9/2) - 6q^(-11/2) - 14q^(-13/2) - 14q^(-15/2) - 14q^(-17/2) - 6q^(-19/2) - 4q^(-21/2))x1^(2)x2^(-9) + (-2q^(1/2) - 12q^(-1/2) - 26q^(-3/2) - 36q^(-5/2) - 36q^(-7/2) - 26q^(-9/2) - 12q^(-11/2) - 2q^(-13/2))x1x2^(-9) + (-2q^(11/2) - 8q^(9/2) - 22q^(7/2) - 38q^(5/2) - 62q^(3/2) - 38q^(1/2) - 22q^(-1/2) - 8q^(-3/2) - 2q^(-5/2))x2^(-9) + (-2q^(19/2) - 12q^(17/2) - 26q^(15/2) - 36q^(13/2) - 36q^(11/2) - 26q^(9/2) - 12q^(7/2) - 2q^(5/2))x1^(-1)x2^(-9) + (-4q^(27/2) - 6q^(25/2) - 14q^(23/2) - 14q^(21/2) - 14q^(19/2) - 6q^(17/2) - 4q^(15/2))x1^(-2)x2^(-9) + (-2q^(33/2) - 2q^(31/2) - 2q^(29/2) - 2q^(27/2))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^(-1/2) - 2*q^(-3/2))*x1^(-1)*x2^(5) + (-6*q^(3/2))*x2^(5) + (-2*q^(9/2) - 2*q^(7/2))*x1*x2^(5) + (-q^(-9/2))*x1^(-2)*x2^(6) + (-3*q^(-1/2) - 4*q^(-3/2) - 3*q^(-5/2))*x1^(-1)*x2^(6) + (-2*q^(5/2) - 10*q^(3/2) - 2*q^(1/2))*x2^(6) + (-3*q^(11/2) - 4*q^(9/2) - 3*q^(7/2))*x1*x2^(6) + (-q^(15/2))*x1^(2)*x2^(6) + (-2*q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2))*x1^(-2)*x2^(7) + (-4*q^(-1/2) - 8*q^(-3/2) - 8*q^(-5/2) - 4*q^(-7/2))*x1^(-1)*x2^(7) + (-2*q^(7/2) - 6*q^(5/2) - 18*q^(3/2) - 6*q^(1/2) - 2*q^(-1/2))*x2^(7) + (-4*q^(13/2) - 8*q^(11/2) - 8*q^(9/2) - 4*q^(7/2))*x1*x2^(7) + (-2*q^(19/2) - 2*q^(17/2) - 2*q^(15/2))*x1^(2)*x2^(7) + (-q^(-21/2))*x1^(-3)*x2^(8) + (-3*q^(-9/2) - 4*q^(-11/2) - 7*q^(-13/2) - 4*q^(-15/2) - 3*q^(-17/2))*x1^(-2)*x2^(8) + (-7*q^(-1/2) - 14*q^(-3/2) - 18*q^(-5/2) - 14*q^(-7/2) - 7*q^(-9/2))*x1^(-1)*x2^(8) + (-2*q^(9/2) - 7*q^(7/2) - 16*q^(5/2) - 33*q^(3/2) - 16*q^(1/2) - 7*q^(-1/2) - 2*q^(-3/2))*x2^(8) + (-7*q^(15/2) - 14*q^(13/2) - 18*q^(11/2) - 14*q^(9/2) - 7*q^(7/2))*x1*x2^(8) + (-3*q^(23/2) - 4*q^(21/2) - 7*q^(19/2) - 4*q^(17/2) - 3*q^(15/2))*x1^(2)*x2^(8) + (-q^(27/2))*x1^(3)*x2^(8) + (-2*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2) - 2*q^(-27/2))*x1^(-3)*x2^(9) + (-4*q^(-9/2) - 6*q^(-11/2) - 14*q^(-13/2) - 14*q^(-15/2) - 14*q^(-17/2) - 6*q^(-19/2) - 4*q^(-21/2))*x1^(-2)*x2^(9) + (-2*q^(1/2) - 12*q^(-1/2) - 26*q^(-3/2) - 36*q^(-5/2) - 36*q^(-7/2) - 26*q^(-9/2) - 12*q^(-11/2) - 2*q^(-13/2))*x1^(-1)*x2^(9) + (-2*q^(11/2) - 8*q^(9/2) - 22*q^(7/2) - 38*q^(5/2) - 62*q^(3/2) - 38*q^(1/2) - 22*q^(-1/2) - 8*q^(-3/2) - 2*q^(-5/2))*x2^(9) + (-2*q^(19/2) - 12*q^(17/2) - 26*q^(15/2) - 36*q^(13/2) - 36*q^(11/2) - 26*q^(9/2) - 12*q^(7/2) - 2*q^(5/2))*x1*x2^(9) + (-4*q^(27/2) - 6*q^(25/2) - 14*q^(23/2) - 14*q^(21/2) - 14*q^(19/2) - 6*q^(17/2) - 4*q^(15/2))*x1^(2)*x2^(9) + (-2*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2))*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^(-1/2) - 2*q^(-3/2))*x1^(-1)*x2^(5) + (-6*q^(3/2))*x2^(5) + (-2*q^(9/2) - 2*q^(7/2))*x1*x2^(5) + (-q^(-9/2))*x1^(-2)*x2^(6) + (-3*q^(-1/2) - 4*q^(-3/2) - 3*q^(-5/2))*x1^(-1)*x2^(6) + (-2*q^(5/2) - 10*q^(3/2) - 2*q^(1/2))*x2^(6) + (-3*q^(11/2) - 4*q^(9/2) - 3*q^(7/2))*x1*x2^(6) + (-q^(15/2))*x1^(2)*x2^(6) + (-2*q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2))*x1^(-2)*x2^(7) + (-4*q^(-1/2) - 8*q^(-3/2) - 8*q^(-5/2) - 4*q^(-7/2))*x1^(-1)*x2^(7) + (-2*q^(7/2) - 6*q^(5/2) - 18*q^(3/2) - 6*q^(1/2) - 2*q^(-1/2))*x2^(7) + (-4*q^(13/2) - 8*q^(11/2) - 8*q^(9/2) - 4*q^(7/2))*x1*x2^(7) + (-2*q^(19/2) - 2*q^(17/2) - 2*q^(15/2))*x1^(2)*x2^(7) + (-q^(-21/2))*x1^(-3)*x2^(8) + (-3*q^(-9/2) - 4*q^(-11/2) - 7*q^(-13/2) - 4*q^(-15/2) - 3*q^(-17/2))*x1^(-2)*x2^(8) + (-7*q^(-1/2) - 14*q^(-3/2) - 18*q^(-5/2) - 14*q^(-7/2) - 7*q^(-9/2))*x1^(-1)*x2^(8) + (-2*q^(9/2) - 7*q^(7/2) - 16*q^(5/2) - 33*q^(3/2) - 16*q^(1/2) - 7*q^(-1/2) - 2*q^(-3/2))*x2^(8) + (-7*q^(15/2) - 14*q^(13/2) - 18*q^(11/2) - 14*q^(9/2) - 7*q^(7/2))*x1*x2^(8) + (-3*q^(23/2) - 4*q^(21/2) - 7*q^(19/2) - 4*q^(17/2) - 3*q^(15/2))*x1^(2)*x2^(8) + (-q^(27/2))*x1^(3)*x2^(8) + (-2*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2) - 2*q^(-27/2))*x1^(-3)*x2^(9) + (-4*q^(-9/2) - 6*q^(-11/2) - 14*q^(-13/2) - 14*q^(-15/2) - 14*q^(-17/2) - 6*q^(-19/2) - 4*q^(-21/2))*x1^(-2)*x2^(9) + (-2*q^(1/2) - 12*q^(-1/2) - 26*q^(-3/2) - 36*q^(-5/2) - 36*q^(-7/2) - 26*q^(-9/2) - 12*q^(-11/2) - 2*q^(-13/2))*x1^(-1)*x2^(9) + (-2*q^(11/2) - 8*q^(9/2) - 22*q^(7/2) - 38*q^(5/2) - 62*q^(3/2) - 38*q^(1/2) - 22*q^(-1/2) - 8*q^(-3/2) - 2*q^(-5/2))*x2^(9) + (-2*q^(19/2) - 12*q^(17/2) - 26*q^(15/2) - 36*q^(13/2) - 36*q^(11/2) - 26*q^(9/2) - 12*q^(7/2) - 2*q^(5/2))*x1*x2^(9) + (-4*q^(27/2) - 6*q^(25/2) - 14*q^(23/2) - 14*q^(21/2) - 14*q^(19/2) - 6*q^(17/2) - 4*q^(15/2))*x1^(2)*x2^(9) + (-2*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2))*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^(-1/2) - 2*q^(-3/2))*x1*x2^(-5) + (-6*q^(3/2))*x2^(-5) + (-2*q^(9/2) - 2*q^(7/2))*x1^(-1)*x2^(-5) + (-q^(-9/2))*x1^(2)*x2^(-6) + (-3*q^(-1/2) - 4*q^(-3/2) - 3*q^(-5/2))*x1*x2^(-6) + (-2*q^(5/2) - 10*q^(3/2) - 2*q^(1/2))*x2^(-6) + (-3*q^(11/2) - 4*q^(9/2) - 3*q^(7/2))*x1^(-1)*x2^(-6) + (-q^(15/2))*x1^(-2)*x2^(-6) + (-2*q^(-9/2) - 2*q^(-11/2) - 2*q^(-13/2))*x1^(2)*x2^(-7) + (-4*q^(-1/2) - 8*q^(-3/2) - 8*q^(-5/2) - 4*q^(-7/2))*x1*x2^(-7) + (-2*q^(7/2) - 6*q^(5/2) - 18*q^(3/2) - 6*q^(1/2) - 2*q^(-1/2))*x2^(-7) + (-4*q^(13/2) - 8*q^(11/2) - 8*q^(9/2) - 4*q^(7/2))*x1^(-1)*x2^(-7) + (-2*q^(19/2) - 2*q^(17/2) - 2*q^(15/2))*x1^(-2)*x2^(-7) + (-q^(-21/2))*x1^(3)*x2^(-8) + (-3*q^(-9/2) - 4*q^(-11/2) - 7*q^(-13/2) - 4*q^(-15/2) - 3*q^(-17/2))*x1^(2)*x2^(-8) + (-7*q^(-1/2) - 14*q^(-3/2) - 18*q^(-5/2) - 14*q^(-7/2) - 7*q^(-9/2))*x1*x2^(-8) + (-2*q^(9/2) - 7*q^(7/2) - 16*q^(5/2) - 33*q^(3/2) - 16*q^(1/2) - 7*q^(-1/2) - 2*q^(-3/2))*x2^(-8) + (-7*q^(15/2) - 14*q^(13/2) - 18*q^(11/2) - 14*q^(9/2) - 7*q^(7/2))*x1^(-1)*x2^(-8) + (-3*q^(23/2) - 4*q^(21/2) - 7*q^(19/2) - 4*q^(17/2) - 3*q^(15/2))*x1^(-2)*x2^(-8) + (-q^(27/2))*x1^(-3)*x2^(-8) + (-2*q^(-21/2) - 2*q^(-23/2) - 2*q^(-25/2) - 2*q^(-27/2))*x1^(3)*x2^(-9) + (-4*q^(-9/2) - 6*q^(-11/2) - 14*q^(-13/2) - 14*q^(-15/2) - 14*q^(-17/2) - 6*q^(-19/2) - 4*q^(-21/2))*x1^(2)*x2^(-9) + (-2*q^(1/2) - 12*q^(-1/2) - 26*q^(-3/2) - 36*q^(-5/2) - 36*q^(-7/2) - 26*q^(-9/2) - 12*q^(-11/2) - 2*q^(-13/2))*x1*x2^(-9) + (-2*q^(11/2) - 8*q^(9/2) - 22*q^(7/2) - 38*q^(5/2) - 62*q^(3/2) - 38*q^(1/2) - 22*q^(-1/2) - 8*q^(-3/2) - 2*q^(-5/2))*x2^(-9) + (-2*q^(19/2) - 12*q^(17/2) - 26*q^(15/2) - 36*q^(13/2) - 36*q^(11/2) - 26*q^(9/2) - 12*q^(7/2) - 2*q^(5/2))*x1^(-1)*x2^(-9) + (-4*q^(27/2) - 6*q^(25/2) - 14*q^(23/2) - 14*q^(21/2) - 14*q^(19/2) - 6*q^(17/2) - 4*q^(15/2))*x1^(-2)*x2^(-9) + (-2*q^(33/2) - 2*q^(31/2) - 2*q^(29/2) - 2*q^(27/2))*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^(-5)A1^(-1/2)A2^(-5/2) + m^(-4)A1^(-3/2)A2^(-1/2) + 3m^(-4)A1^(-1/2)A2^(-3/2) + m^(-4)A1^(1/2)A2^(-5/2) + m^(-3)A1^(-3/2)A2^(1/2) + 4m^(-3)A1^(-1/2)A2^(-1/2) + 3m^(-3)A1^(1/2)A2^(-3/2) + 4m^(-2)A1^(-1/2)A2^(1/2) + 4m^(-2)A1^(1/2)A2^(-1/2) + 3m^(-1)A1^(-1/2)A2^(3/2) + 4m^(-1)A1^(1/2)A2^(1/2) + m^(-1)A1^(3/2)A2^(-1/2) + A1^(-1/2)A2^(5/2) + 3A1^(1/2)A2^(3/2) + A1^(3/2)A2^(1/2) + mA1^(1/2)*A2^(5/2)`

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

Record

FL/HFL Links

`orderOption(int)`	`560`
`namestring`	`L10n46{1}`
`statusstring`	`success`
`slugstring`	`L10n46_1_a19f9898`
`result_filestring`	`details/L10n46_1_a19f9898.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)`	`0.0033`
`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_1_a19f9898" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L10n46_1_a19f9898`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions