L10n49{0} - HFL and FL

details/L10n49_0_9a6a2153.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)`	`x1^(1)x2^(2)`	`q^(-5/2)`	`{"0": [-1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1], "1": [-1, 1, -1, 1, -1, -1]}`	(-q^(-5/2))x1x2^(2) + (-2q^(-5/2))x1x2^(3) + (-q^(-3/2) - 3q^(-5/2))x1x2^(4) + (-q^(-9/2))x1^(2)x2^(4) + (-2q^(-1/2) - 2q^(-3/2) - 4q^(-5/2))x1x2^(5) + (-q^(-7/2) - 2q^(-9/2) - q^(-11/2))x1^(2)x2^(5) + (-2q^(-13/2))x1^(3)x2^(5) + (-q^(3/2) - 3q^(1/2) - 4q^(-1/2) - 3q^(-3/2) - 5q^(-5/2))x1x2^(6) + (-2q^(-5/2) - 3q^(-7/2) - 4q^(-9/2) - 2q^(-11/2) - q^(-13/2))x1^(2)x2^(6) + (-q^(-11/2) - 4q^(-13/2) - 2q^(-15/2) - q^(-17/2))x1^(3)x2^(6) + (-2q^(7/2) - 2q^(5/2) - 6q^(3/2) - 6q^(1/2) - 6q^(-1/2) - 4q^(-3/2) - 6q^(-5/2))x1x2^(7) + (-q^(-1/2) - 4q^(-3/2) - 6q^(-5/2) - 7q^(-7/2) - 7q^(-9/2) - 4q^(-11/2) - 2q^(-13/2) - q^(-15/2))x1^(2)x2^(7) + (-2q^(-9/2) - 4q^(-11/2) - 9q^(-13/2) - 5q^(-15/2) - 4q^(-17/2) - q^(-19/2) - q^(-21/2))x1^(3)x2^(7) + (-q^(-19/2) - 2q^(-21/2) - q^(-23/2))x1^(4)x2^(7) + (-q^(13/2) - 3q^(11/2) - 4q^(9/2) - 7q^(7/2) - 9q^(5/2) - 11q^(3/2) - 9q^(1/2) - 8q^(-1/2) - 5q^(-3/2) - 7q^(-5/2))x1x2^(8) + (-2q^(3/2) - 4q^(1/2) - 9q^(-1/2) - 12q^(-3/2) - 14q^(-5/2) - 13q^(-7/2) - 12q^(-9/2) - 7q^(-11/2) - 4q^(-13/2) - 2q^(-15/2) - q^(-17/2))x1^(2)x2^(8) + (-q^(-5/2) - 4q^(-7/2) - 9q^(-9/2) - 13q^(-11/2) - 18q^(-13/2) - 12q^(-15/2) - 9q^(-17/2) - 5q^(-19/2) - 3q^(-21/2) - q^(-23/2) - q^(-25/2))x1^(3)x2^(8) + (-2q^(-17/2) - 5q^(-19/2) - 7q^(-21/2) - 5q^(-23/2) - 2q^(-25/2) - q^(-27/2) - q^(-29/2))x1^(4)x2^(8) + (-q^(-27/2) - 3q^(-29/2))x1^(5)x2^(8) + (-2q^(19/2) - 2q^(17/2) - 6q^(15/2) - 8q^(13/2) - 12q^(11/2) - 12q^(9/2) - 18q^(7/2) - 16q^(5/2) - 16q^(3/2) - 12q^(1/2) - 10q^(-1/2) - 6q^(-3/2) - 8q^(-5/2))x1x2^(9) + (-q^(9/2) - 4q^(7/2) - 8q^(5/2) - 13q^(3/2) - 20q^(1/2) - 25q^(-1/2) - 27q^(-3/2) - 26q^(-5/2) - 23q^(-7/2) - 19q^(-9/2) - 12q^(-11/2) - 7q^(-13/2) - 4q^(-15/2) - 2q^(-17/2) - q^(-19/2))x1^(2)x2^(9) + (-2q^(-1/2) - 4q^(-3/2) - 12q^(-5/2) - 19q^(-7/2) - 29q^(-9/2) - 31q^(-11/2) - 36q^(-13/2) - 25q^(-15/2) - 20q^(-17/2) - 12q^(-19/2) - 9q^(-21/2) - 4q^(-23/2) - 3q^(-25/2) - q^(-27/2) - q^(-29/2))x1^(3)x2^(9) + (-q^(-13/2) - 5q^(-15/2) - 11q^(-17/2) - 17q^(-19/2) - 19q^(-21/2) - 16q^(-23/2) - 10q^(-25/2) - 5q^(-27/2) - 4q^(-29/2) - 2q^(-31/2) - q^(-33/2) - q^(-35/2))x1^(4)x2^(9) + (-2q^(-25/2) - 4q^(-27/2) - 9q^(-29/2) - 5q^(-31/2) - 4q^(-33/2) - q^(-35/2) - q^(-37/2))x1^(5)x2^(9)
`(-1, -2)`	`(1, 1)`	`x1^(1)x2^(2)`	`q^(-5/2)`	`{"0": [1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1], "1": [-1, 1, -1, 1, -1, -1]}`	(-q^(-5/2))x1x2^(2) + (-2q^(-5/2))x1x2^(3) + (-q^(-3/2) - 3q^(-5/2))x1x2^(4) + (-q^(-9/2))x1^(2)x2^(4) + (-2q^(-1/2) - 2q^(-3/2) - 4q^(-5/2))x1x2^(5) + (-q^(-7/2) - 2q^(-9/2) - q^(-11/2))x1^(2)x2^(5) + (-2q^(-13/2))x1^(3)x2^(5) + (-q^(3/2) - 3q^(1/2) - 4q^(-1/2) - 3q^(-3/2) - 5q^(-5/2))x1x2^(6) + (-2q^(-5/2) - 3q^(-7/2) - 4q^(-9/2) - 2q^(-11/2) - q^(-13/2))x1^(2)x2^(6) + (-q^(-11/2) - 4q^(-13/2) - 2q^(-15/2) - q^(-17/2))x1^(3)x2^(6) + (-2q^(7/2) - 2q^(5/2) - 6q^(3/2) - 6q^(1/2) - 6q^(-1/2) - 4q^(-3/2) - 6q^(-5/2))x1x2^(7) + (-q^(-1/2) - 4q^(-3/2) - 6q^(-5/2) - 7q^(-7/2) - 7q^(-9/2) - 4q^(-11/2) - 2q^(-13/2) - q^(-15/2))x1^(2)x2^(7) + (-2q^(-9/2) - 4q^(-11/2) - 9q^(-13/2) - 5q^(-15/2) - 4q^(-17/2) - q^(-19/2) - q^(-21/2))x1^(3)x2^(7) + (-q^(-19/2) - 2q^(-21/2) - q^(-23/2))x1^(4)x2^(7) + (-q^(13/2) - 3q^(11/2) - 4q^(9/2) - 7q^(7/2) - 9q^(5/2) - 11q^(3/2) - 9q^(1/2) - 8q^(-1/2) - 5q^(-3/2) - 7q^(-5/2))x1x2^(8) + (-2q^(3/2) - 4q^(1/2) - 9q^(-1/2) - 12q^(-3/2) - 14q^(-5/2) - 13q^(-7/2) - 12q^(-9/2) - 7q^(-11/2) - 4q^(-13/2) - 2q^(-15/2) - q^(-17/2))x1^(2)x2^(8) + (-q^(-5/2) - 4q^(-7/2) - 9q^(-9/2) - 13q^(-11/2) - 18q^(-13/2) - 12q^(-15/2) - 9q^(-17/2) - 5q^(-19/2) - 3q^(-21/2) - q^(-23/2) - q^(-25/2))x1^(3)x2^(8) + (-2q^(-17/2) - 5q^(-19/2) - 7q^(-21/2) - 5q^(-23/2) - 2q^(-25/2) - q^(-27/2) - q^(-29/2))x1^(4)x2^(8) + (-q^(-27/2) - 3q^(-29/2))x1^(5)x2^(8) + (-2q^(19/2) - 2q^(17/2) - 6q^(15/2) - 8q^(13/2) - 12q^(11/2) - 12q^(9/2) - 18q^(7/2) - 16q^(5/2) - 16q^(3/2) - 12q^(1/2) - 10q^(-1/2) - 6q^(-3/2) - 8q^(-5/2))x1x2^(9) + (-q^(9/2) - 4q^(7/2) - 8q^(5/2) - 13q^(3/2) - 20q^(1/2) - 25q^(-1/2) - 27q^(-3/2) - 26q^(-5/2) - 23q^(-7/2) - 19q^(-9/2) - 12q^(-11/2) - 7q^(-13/2) - 4q^(-15/2) - 2q^(-17/2) - q^(-19/2))x1^(2)x2^(9) + (-2q^(-1/2) - 4q^(-3/2) - 12q^(-5/2) - 19q^(-7/2) - 29q^(-9/2) - 31q^(-11/2) - 36q^(-13/2) - 25q^(-15/2) - 20q^(-17/2) - 12q^(-19/2) - 9q^(-21/2) - 4q^(-23/2) - 3q^(-25/2) - q^(-27/2) - q^(-29/2))x1^(3)x2^(9) + (-q^(-13/2) - 5q^(-15/2) - 11q^(-17/2) - 17q^(-19/2) - 19q^(-21/2) - 16q^(-23/2) - 10q^(-25/2) - 5q^(-27/2) - 4q^(-29/2) - 2q^(-31/2) - q^(-33/2) - q^(-35/2))x1^(4)x2^(9) + (-2q^(-25/2) - 4q^(-27/2) - 9q^(-29/2) - 5q^(-31/2) - 4q^(-33/2) - q^(-35/2) - q^(-37/2))x1^(5)x2^(9)
`(1, 2)`		`x1^(-1)x2^(-2)`	`q^(-5/2)`		(-q^(-5/2))x1^(-1)x2^(-2) + (-2q^(-5/2))x1^(-1)x2^(-3) + (-q^(-3/2) - 3q^(-5/2))x1^(-1)x2^(-4) + (-q^(-9/2))x1^(-2)x2^(-4) + (-2q^(-1/2) - 2q^(-3/2) - 4q^(-5/2))x1^(-1)x2^(-5) + (-q^(-7/2) - 2q^(-9/2) - q^(-11/2))x1^(-2)x2^(-5) + (-2q^(-13/2))x1^(-3)x2^(-5) + (-q^(3/2) - 3q^(1/2) - 4q^(-1/2) - 3q^(-3/2) - 5q^(-5/2))x1^(-1)x2^(-6) + (-2q^(-5/2) - 3q^(-7/2) - 4q^(-9/2) - 2q^(-11/2) - q^(-13/2))x1^(-2)x2^(-6) + (-q^(-11/2) - 4q^(-13/2) - 2q^(-15/2) - q^(-17/2))x1^(-3)x2^(-6) + (-2q^(7/2) - 2q^(5/2) - 6q^(3/2) - 6q^(1/2) - 6q^(-1/2) - 4q^(-3/2) - 6q^(-5/2))x1^(-1)x2^(-7) + (-q^(-1/2) - 4q^(-3/2) - 6q^(-5/2) - 7q^(-7/2) - 7q^(-9/2) - 4q^(-11/2) - 2q^(-13/2) - q^(-15/2))x1^(-2)x2^(-7) + (-2q^(-9/2) - 4q^(-11/2) - 9q^(-13/2) - 5q^(-15/2) - 4q^(-17/2) - q^(-19/2) - q^(-21/2))x1^(-3)x2^(-7) + (-q^(-19/2) - 2q^(-21/2) - q^(-23/2))x1^(-4)x2^(-7) + (-q^(13/2) - 3q^(11/2) - 4q^(9/2) - 7q^(7/2) - 9q^(5/2) - 11q^(3/2) - 9q^(1/2) - 8q^(-1/2) - 5q^(-3/2) - 7q^(-5/2))x1^(-1)x2^(-8) + (-2q^(3/2) - 4q^(1/2) - 9q^(-1/2) - 12q^(-3/2) - 14q^(-5/2) - 13q^(-7/2) - 12q^(-9/2) - 7q^(-11/2) - 4q^(-13/2) - 2q^(-15/2) - q^(-17/2))x1^(-2)x2^(-8) + (-q^(-5/2) - 4q^(-7/2) - 9q^(-9/2) - 13q^(-11/2) - 18q^(-13/2) - 12q^(-15/2) - 9q^(-17/2) - 5q^(-19/2) - 3q^(-21/2) - q^(-23/2) - q^(-25/2))x1^(-3)x2^(-8) + (-2q^(-17/2) - 5q^(-19/2) - 7q^(-21/2) - 5q^(-23/2) - 2q^(-25/2) - q^(-27/2) - q^(-29/2))x1^(-4)x2^(-8) + (-q^(-27/2) - 3q^(-29/2))x1^(-5)x2^(-8) + (-2q^(19/2) - 2q^(17/2) - 6q^(15/2) - 8q^(13/2) - 12q^(11/2) - 12q^(9/2) - 18q^(7/2) - 16q^(5/2) - 16q^(3/2) - 12q^(1/2) - 10q^(-1/2) - 6q^(-3/2) - 8q^(-5/2))x1^(-1)x2^(-9) + (-q^(9/2) - 4q^(7/2) - 8q^(5/2) - 13q^(3/2) - 20q^(1/2) - 25q^(-1/2) - 27q^(-3/2) - 26q^(-5/2) - 23q^(-7/2) - 19q^(-9/2) - 12q^(-11/2) - 7q^(-13/2) - 4q^(-15/2) - 2q^(-17/2) - q^(-19/2))x1^(-2)x2^(-9) + (-2q^(-1/2) - 4q^(-3/2) - 12q^(-5/2) - 19q^(-7/2) - 29q^(-9/2) - 31q^(-11/2) - 36q^(-13/2) - 25q^(-15/2) - 20q^(-17/2) - 12q^(-19/2) - 9q^(-21/2) - 4q^(-23/2) - 3q^(-25/2) - q^(-27/2) - q^(-29/2))x1^(-3)x2^(-9) + (-q^(-13/2) - 5q^(-15/2) - 11q^(-17/2) - 17q^(-19/2) - 19q^(-21/2) - 16q^(-23/2) - 10q^(-25/2) - 5q^(-27/2) - 4q^(-29/2) - 2q^(-31/2) - q^(-33/2) - q^(-35/2))x1^(-4)x2^(-9) + (-2q^(-25/2) - 4q^(-27/2) - 9q^(-29/2) - 5q^(-31/2) - 4q^(-33/2) - q^(-35/2) - q^(-37/2))x1^(-5)x2^(-9)

(-1, -2)

(1, 1)

x1^(1)x2^(2)

q^(-5/2)

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

(-q^(-5/2))*x1*x2^(2) + (-2*q^(-5/2))*x1*x2^(3) + (-q^(-3/2) - 3*q^(-5/2))*x1*x2^(4) + (-q^(-9/2))*x1^(2)*x2^(4) + (-2*q^(-1/2) - 2*q^(-3/2) - 4*q^(-5/2))*x1*x2^(5) + (-q^(-7/2) - 2*q^(-9/2) - q^(-11/2))*x1^(2)*x2^(5) + (-2*q^(-13/2))*x1^(3)*x2^(5) + (-q^(3/2) - 3*q^(1/2) - 4*q^(-1/2) - 3*q^(-3/2) - 5*q^(-5/2))*x1*x2^(6) + (-2*q^(-5/2) - 3*q^(-7/2) - 4*q^(-9/2) - 2*q^(-11/2) - q^(-13/2))*x1^(2)*x2^(6) + (-q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - q^(-17/2))*x1^(3)*x2^(6) + (-2*q^(7/2) - 2*q^(5/2) - 6*q^(3/2) - 6*q^(1/2) - 6*q^(-1/2) - 4*q^(-3/2) - 6*q^(-5/2))*x1*x2^(7) + (-q^(-1/2) - 4*q^(-3/2) - 6*q^(-5/2) - 7*q^(-7/2) - 7*q^(-9/2) - 4*q^(-11/2) - 2*q^(-13/2) - q^(-15/2))*x1^(2)*x2^(7) + (-2*q^(-9/2) - 4*q^(-11/2) - 9*q^(-13/2) - 5*q^(-15/2) - 4*q^(-17/2) - q^(-19/2) - q^(-21/2))*x1^(3)*x2^(7) + (-q^(-19/2) - 2*q^(-21/2) - q^(-23/2))*x1^(4)*x2^(7) + (-q^(13/2) - 3*q^(11/2) - 4*q^(9/2) - 7*q^(7/2) - 9*q^(5/2) - 11*q^(3/2) - 9*q^(1/2) - 8*q^(-1/2) - 5*q^(-3/2) - 7*q^(-5/2))*x1*x2^(8) + (-2*q^(3/2) - 4*q^(1/2) - 9*q^(-1/2) - 12*q^(-3/2) - 14*q^(-5/2) - 13*q^(-7/2) - 12*q^(-9/2) - 7*q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - q^(-17/2))*x1^(2)*x2^(8) + (-q^(-5/2) - 4*q^(-7/2) - 9*q^(-9/2) - 13*q^(-11/2) - 18*q^(-13/2) - 12*q^(-15/2) - 9*q^(-17/2) - 5*q^(-19/2) - 3*q^(-21/2) - q^(-23/2) - q^(-25/2))*x1^(3)*x2^(8) + (-2*q^(-17/2) - 5*q^(-19/2) - 7*q^(-21/2) - 5*q^(-23/2) - 2*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(4)*x2^(8) + (-q^(-27/2) - 3*q^(-29/2))*x1^(5)*x2^(8) + (-2*q^(19/2) - 2*q^(17/2) - 6*q^(15/2) - 8*q^(13/2) - 12*q^(11/2) - 12*q^(9/2) - 18*q^(7/2) - 16*q^(5/2) - 16*q^(3/2) - 12*q^(1/2) - 10*q^(-1/2) - 6*q^(-3/2) - 8*q^(-5/2))*x1*x2^(9) + (-q^(9/2) - 4*q^(7/2) - 8*q^(5/2) - 13*q^(3/2) - 20*q^(1/2) - 25*q^(-1/2) - 27*q^(-3/2) - 26*q^(-5/2) - 23*q^(-7/2) - 19*q^(-9/2) - 12*q^(-11/2) - 7*q^(-13/2) - 4*q^(-15/2) - 2*q^(-17/2) - q^(-19/2))*x1^(2)*x2^(9) + (-2*q^(-1/2) - 4*q^(-3/2) - 12*q^(-5/2) - 19*q^(-7/2) - 29*q^(-9/2) - 31*q^(-11/2) - 36*q^(-13/2) - 25*q^(-15/2) - 20*q^(-17/2) - 12*q^(-19/2) - 9*q^(-21/2) - 4*q^(-23/2) - 3*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(3)*x2^(9) + (-q^(-13/2) - 5*q^(-15/2) - 11*q^(-17/2) - 17*q^(-19/2) - 19*q^(-21/2) - 16*q^(-23/2) - 10*q^(-25/2) - 5*q^(-27/2) - 4*q^(-29/2) - 2*q^(-31/2) - q^(-33/2) - q^(-35/2))*x1^(4)*x2^(9) + (-2*q^(-25/2) - 4*q^(-27/2) - 9*q^(-29/2) - 5*q^(-31/2) - 4*q^(-33/2) - q^(-35/2) - q^(-37/2))*x1^(5)*x2^(9)

(-1, -2)

(1, 1)

x1^(1)x2^(2)

q^(-5/2)

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

(-q^(-5/2))*x1*x2^(2) + (-2*q^(-5/2))*x1*x2^(3) + (-q^(-3/2) - 3*q^(-5/2))*x1*x2^(4) + (-q^(-9/2))*x1^(2)*x2^(4) + (-2*q^(-1/2) - 2*q^(-3/2) - 4*q^(-5/2))*x1*x2^(5) + (-q^(-7/2) - 2*q^(-9/2) - q^(-11/2))*x1^(2)*x2^(5) + (-2*q^(-13/2))*x1^(3)*x2^(5) + (-q^(3/2) - 3*q^(1/2) - 4*q^(-1/2) - 3*q^(-3/2) - 5*q^(-5/2))*x1*x2^(6) + (-2*q^(-5/2) - 3*q^(-7/2) - 4*q^(-9/2) - 2*q^(-11/2) - q^(-13/2))*x1^(2)*x2^(6) + (-q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - q^(-17/2))*x1^(3)*x2^(6) + (-2*q^(7/2) - 2*q^(5/2) - 6*q^(3/2) - 6*q^(1/2) - 6*q^(-1/2) - 4*q^(-3/2) - 6*q^(-5/2))*x1*x2^(7) + (-q^(-1/2) - 4*q^(-3/2) - 6*q^(-5/2) - 7*q^(-7/2) - 7*q^(-9/2) - 4*q^(-11/2) - 2*q^(-13/2) - q^(-15/2))*x1^(2)*x2^(7) + (-2*q^(-9/2) - 4*q^(-11/2) - 9*q^(-13/2) - 5*q^(-15/2) - 4*q^(-17/2) - q^(-19/2) - q^(-21/2))*x1^(3)*x2^(7) + (-q^(-19/2) - 2*q^(-21/2) - q^(-23/2))*x1^(4)*x2^(7) + (-q^(13/2) - 3*q^(11/2) - 4*q^(9/2) - 7*q^(7/2) - 9*q^(5/2) - 11*q^(3/2) - 9*q^(1/2) - 8*q^(-1/2) - 5*q^(-3/2) - 7*q^(-5/2))*x1*x2^(8) + (-2*q^(3/2) - 4*q^(1/2) - 9*q^(-1/2) - 12*q^(-3/2) - 14*q^(-5/2) - 13*q^(-7/2) - 12*q^(-9/2) - 7*q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - q^(-17/2))*x1^(2)*x2^(8) + (-q^(-5/2) - 4*q^(-7/2) - 9*q^(-9/2) - 13*q^(-11/2) - 18*q^(-13/2) - 12*q^(-15/2) - 9*q^(-17/2) - 5*q^(-19/2) - 3*q^(-21/2) - q^(-23/2) - q^(-25/2))*x1^(3)*x2^(8) + (-2*q^(-17/2) - 5*q^(-19/2) - 7*q^(-21/2) - 5*q^(-23/2) - 2*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(4)*x2^(8) + (-q^(-27/2) - 3*q^(-29/2))*x1^(5)*x2^(8) + (-2*q^(19/2) - 2*q^(17/2) - 6*q^(15/2) - 8*q^(13/2) - 12*q^(11/2) - 12*q^(9/2) - 18*q^(7/2) - 16*q^(5/2) - 16*q^(3/2) - 12*q^(1/2) - 10*q^(-1/2) - 6*q^(-3/2) - 8*q^(-5/2))*x1*x2^(9) + (-q^(9/2) - 4*q^(7/2) - 8*q^(5/2) - 13*q^(3/2) - 20*q^(1/2) - 25*q^(-1/2) - 27*q^(-3/2) - 26*q^(-5/2) - 23*q^(-7/2) - 19*q^(-9/2) - 12*q^(-11/2) - 7*q^(-13/2) - 4*q^(-15/2) - 2*q^(-17/2) - q^(-19/2))*x1^(2)*x2^(9) + (-2*q^(-1/2) - 4*q^(-3/2) - 12*q^(-5/2) - 19*q^(-7/2) - 29*q^(-9/2) - 31*q^(-11/2) - 36*q^(-13/2) - 25*q^(-15/2) - 20*q^(-17/2) - 12*q^(-19/2) - 9*q^(-21/2) - 4*q^(-23/2) - 3*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(3)*x2^(9) + (-q^(-13/2) - 5*q^(-15/2) - 11*q^(-17/2) - 17*q^(-19/2) - 19*q^(-21/2) - 16*q^(-23/2) - 10*q^(-25/2) - 5*q^(-27/2) - 4*q^(-29/2) - 2*q^(-31/2) - q^(-33/2) - q^(-35/2))*x1^(4)*x2^(9) + (-2*q^(-25/2) - 4*q^(-27/2) - 9*q^(-29/2) - 5*q^(-31/2) - 4*q^(-33/2) - q^(-35/2) - q^(-37/2))*x1^(5)*x2^(9)

(1, 2)

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

q^(-5/2)

(-q^(-5/2))*x1^(-1)*x2^(-2) + (-2*q^(-5/2))*x1^(-1)*x2^(-3) + (-q^(-3/2) - 3*q^(-5/2))*x1^(-1)*x2^(-4) + (-q^(-9/2))*x1^(-2)*x2^(-4) + (-2*q^(-1/2) - 2*q^(-3/2) - 4*q^(-5/2))*x1^(-1)*x2^(-5) + (-q^(-7/2) - 2*q^(-9/2) - q^(-11/2))*x1^(-2)*x2^(-5) + (-2*q^(-13/2))*x1^(-3)*x2^(-5) + (-q^(3/2) - 3*q^(1/2) - 4*q^(-1/2) - 3*q^(-3/2) - 5*q^(-5/2))*x1^(-1)*x2^(-6) + (-2*q^(-5/2) - 3*q^(-7/2) - 4*q^(-9/2) - 2*q^(-11/2) - q^(-13/2))*x1^(-2)*x2^(-6) + (-q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - q^(-17/2))*x1^(-3)*x2^(-6) + (-2*q^(7/2) - 2*q^(5/2) - 6*q^(3/2) - 6*q^(1/2) - 6*q^(-1/2) - 4*q^(-3/2) - 6*q^(-5/2))*x1^(-1)*x2^(-7) + (-q^(-1/2) - 4*q^(-3/2) - 6*q^(-5/2) - 7*q^(-7/2) - 7*q^(-9/2) - 4*q^(-11/2) - 2*q^(-13/2) - q^(-15/2))*x1^(-2)*x2^(-7) + (-2*q^(-9/2) - 4*q^(-11/2) - 9*q^(-13/2) - 5*q^(-15/2) - 4*q^(-17/2) - q^(-19/2) - q^(-21/2))*x1^(-3)*x2^(-7) + (-q^(-19/2) - 2*q^(-21/2) - q^(-23/2))*x1^(-4)*x2^(-7) + (-q^(13/2) - 3*q^(11/2) - 4*q^(9/2) - 7*q^(7/2) - 9*q^(5/2) - 11*q^(3/2) - 9*q^(1/2) - 8*q^(-1/2) - 5*q^(-3/2) - 7*q^(-5/2))*x1^(-1)*x2^(-8) + (-2*q^(3/2) - 4*q^(1/2) - 9*q^(-1/2) - 12*q^(-3/2) - 14*q^(-5/2) - 13*q^(-7/2) - 12*q^(-9/2) - 7*q^(-11/2) - 4*q^(-13/2) - 2*q^(-15/2) - q^(-17/2))*x1^(-2)*x2^(-8) + (-q^(-5/2) - 4*q^(-7/2) - 9*q^(-9/2) - 13*q^(-11/2) - 18*q^(-13/2) - 12*q^(-15/2) - 9*q^(-17/2) - 5*q^(-19/2) - 3*q^(-21/2) - q^(-23/2) - q^(-25/2))*x1^(-3)*x2^(-8) + (-2*q^(-17/2) - 5*q^(-19/2) - 7*q^(-21/2) - 5*q^(-23/2) - 2*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(-4)*x2^(-8) + (-q^(-27/2) - 3*q^(-29/2))*x1^(-5)*x2^(-8) + (-2*q^(19/2) - 2*q^(17/2) - 6*q^(15/2) - 8*q^(13/2) - 12*q^(11/2) - 12*q^(9/2) - 18*q^(7/2) - 16*q^(5/2) - 16*q^(3/2) - 12*q^(1/2) - 10*q^(-1/2) - 6*q^(-3/2) - 8*q^(-5/2))*x1^(-1)*x2^(-9) + (-q^(9/2) - 4*q^(7/2) - 8*q^(5/2) - 13*q^(3/2) - 20*q^(1/2) - 25*q^(-1/2) - 27*q^(-3/2) - 26*q^(-5/2) - 23*q^(-7/2) - 19*q^(-9/2) - 12*q^(-11/2) - 7*q^(-13/2) - 4*q^(-15/2) - 2*q^(-17/2) - q^(-19/2))*x1^(-2)*x2^(-9) + (-2*q^(-1/2) - 4*q^(-3/2) - 12*q^(-5/2) - 19*q^(-7/2) - 29*q^(-9/2) - 31*q^(-11/2) - 36*q^(-13/2) - 25*q^(-15/2) - 20*q^(-17/2) - 12*q^(-19/2) - 9*q^(-21/2) - 4*q^(-23/2) - 3*q^(-25/2) - q^(-27/2) - q^(-29/2))*x1^(-3)*x2^(-9) + (-q^(-13/2) - 5*q^(-15/2) - 11*q^(-17/2) - 17*q^(-19/2) - 19*q^(-21/2) - 16*q^(-23/2) - 10*q^(-25/2) - 5*q^(-27/2) - 4*q^(-29/2) - 2*q^(-31/2) - q^(-33/2) - q^(-35/2))*x1^(-4)*x2^(-9) + (-2*q^(-25/2) - 4*q^(-27/2) - 9*q^(-29/2) - 5*q^(-31/2) - 4*q^(-33/2) - q^(-35/2) - q^(-37/2))*x1^(-5)*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
`A1A2^(2) - 2A1A2 - 1 - 2A1^(-1)A2^(-1) + A1^(-1)A2^(-2)`

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
`(-2, -2)`	no
`(-2, -4)`	yes
`(2, 2)`	no
`(2, 4)`	yes

HFL polytope

Poincaré polynomial
`m^(-2)A1^(-3/2)A2^(-5/2) + 3m^(-1)A1^(-3/2)A2^(-3/2) + m^(-1)A1^(-1/2)A2^(-5/2) + 2A1^(-3/2)A2^(-1/2) + 3A1^(-1/2)A2^(-3/2) + 3mA1^(-1/2)A2^(-1/2) + m^2A1^(-1/2)A2^(1/2) + m^2A1^(1/2)A2^(-1/2) + 3m^3A1^(1/2)A2^(1/2) + 3m^4A1^(1/2)A2^(3/2) + 2m^4A1^(3/2)A2^(1/2) + m^5A1^(1/2)A2^(5/2) + 3m^5A1^(3/2)A2^(3/2) + m^6A1^(3/2)A2^(5/2)`

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

Record

FL/HFL Links

`orderOption(int)`	`565`
`namestring`	`L10n49{0}`
`statusstring`	`success`
`slugstring`	`L10n49_0_9a6a2153`
`result_filestring`	`details/L10n49_0_9a6a2153.json`
`complexity_scoreOption(int)`	`200`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`10`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`28`
`wall_secondsOption(float)`	`0.002955`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`2`
`support_sizeOption(int)`	`14`
`vertex_countOption(int)`	`6`
`fibered_vertex_countOption(int)`	`2`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`5`
`alexander_vertex_countOption(int)`	`4`
`alexander_relationstring`	`not_computed`
`fk_countint`	`2`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L10n49_0_9a6a2153" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L10n49_0_9a6a2153`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions