L10n25{1} - HFL and FL

details/L10n25_1_44bc9ba4.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, -5/2)`	`(1, 1)`	`x1^(1/2)x2^(5/2)`	`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^(1/2)x2^(5/2) + (-2q^(5/2))x1^(1/2)x2^(7/2) + (-q^(7/2) - 3q^(5/2) - q^(3/2))x1^(1/2)x2^(9/2) + (q^(9/2))x1^(3/2)x2^(9/2) + (-q^(9/2) - 2q^(7/2) - 4q^(5/2) - 2q^(3/2) - 2q^(1/2))x1^(1/2)x2^(11/2) + (q^(11/2) + 2q^(9/2))x1^(3/2)x2^(11/2) + (-q^(11/2) - 3q^(9/2) - 4q^(7/2) - 6q^(5/2) - 3q^(3/2) - 4q^(1/2) - 3q^(-1/2) - q^(-3/2))x1^(1/2)x2^(13/2) + (q^(15/2) + 2q^(11/2) + 4q^(9/2) + q^(7/2))x1^(3/2)x2^(13/2) + (-q^(15/2))x1^(5/2)x2^(13/2) + (-2q^(13/2) - 3q^(11/2) - 6q^(9/2) - 7q^(7/2) - 10q^(5/2) - 6q^(3/2) - 6q^(1/2) - 6q^(-1/2) - 6q^(-3/2) - 2q^(-5/2) - 2q^(-7/2))x1^(1/2)x2^(15/2) + (2q^(17/2) + 3q^(15/2) + 3q^(11/2) + 7q^(9/2) + 4q^(7/2) + 2q^(5/2))x1^(3/2)x2^(15/2) + (-q^(19/2) - q^(17/2) - 2q^(15/2))x1^(5/2)x2^(15/2) + (-q^(17/2) - 2q^(15/2) - 5q^(13/2) - 8q^(11/2) - 11q^(9/2) - 13q^(7/2) - 16q^(5/2) - 13q^(3/2) - 12q^(1/2) - 10q^(-1/2) - 11q^(-3/2) - 9q^(-5/2) - 7q^(-7/2) - 4q^(-9/2) - 3q^(-11/2) - q^(-13/2))x1^(1/2)x2^(17/2) + (q^(21/2) + 2q^(19/2) + 5q^(17/2) + 7q^(15/2) + 2q^(13/2) + 4q^(11/2) + 10q^(9/2) + 9q^(7/2) + 8q^(5/2) + 4q^(3/2) + q^(1/2))x1^(3/2)x2^(17/2) + (-q^(25/2) - 3q^(19/2) - 3q^(17/2) - 4q^(15/2) - q^(13/2))x1^(5/2)x2^(17/2) + (q^(23/2))x1^(7/2)x2^(17/2) + (-q^(21/2) - q^(19/2) - 5q^(17/2) - 7q^(15/2) - 12q^(13/2) - 16q^(11/2) - 21q^(9/2) - 23q^(7/2) - 28q^(5/2) - 24q^(3/2) - 25q^(1/2) - 22q^(-1/2) - 20q^(-3/2) - 18q^(-5/2) - 18q^(-7/2) - 12q^(-9/2) - 12q^(-11/2) - 8q^(-13/2) - 6q^(-15/2) - 2q^(-17/2) - 2q^(-19/2))x1^(1/2)x2^(19/2) + (q^(25/2) + 2q^(23/2) + 5q^(21/2) + 6q^(19/2) + 11q^(17/2) + 15q^(15/2) + 9q^(13/2) + 9q^(11/2) + 13q^(9/2) + 14q^(7/2) + 17q^(5/2) + 15q^(3/2) + 10q^(1/2) + 4q^(-1/2) + 2q^(-3/2))x1^(3/2)x2^(19/2) + (-q^(29/2) - 3q^(27/2) - 2q^(25/2) - q^(21/2) - 6q^(19/2) - 7q^(17/2) - 9q^(15/2) - 4q^(13/2) - 2q^(11/2))x1^(5/2)x2^(19/2) + (q^(29/2) + q^(27/2) + q^(25/2) + 2q^(23/2))x1^(7/2)x2^(19/2)
`(-1/2, -5/2)`	`(1, 1)`	`x1^(1/2)x2^(5/2)`	`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^(1/2)x2^(5/2) + (-2q^(5/2))x1^(1/2)x2^(7/2) + (-q^(7/2) - 3q^(5/2) - q^(3/2))x1^(1/2)x2^(9/2) + (q^(9/2))x1^(3/2)x2^(9/2) + (-q^(9/2) - 2q^(7/2) - 4q^(5/2) - 2q^(3/2) - 2q^(1/2))x1^(1/2)x2^(11/2) + (q^(11/2) + 2q^(9/2))x1^(3/2)x2^(11/2) + (-q^(11/2) - 3q^(9/2) - 4q^(7/2) - 6q^(5/2) - 3q^(3/2) - 4q^(1/2) - 3q^(-1/2) - q^(-3/2))x1^(1/2)x2^(13/2) + (q^(15/2) + 2q^(11/2) + 4q^(9/2) + q^(7/2))x1^(3/2)x2^(13/2) + (-q^(15/2))x1^(5/2)x2^(13/2) + (-2q^(13/2) - 3q^(11/2) - 6q^(9/2) - 7q^(7/2) - 10q^(5/2) - 6q^(3/2) - 6q^(1/2) - 6q^(-1/2) - 6q^(-3/2) - 2q^(-5/2) - 2q^(-7/2))x1^(1/2)x2^(15/2) + (2q^(17/2) + 3q^(15/2) + 3q^(11/2) + 7q^(9/2) + 4q^(7/2) + 2q^(5/2))x1^(3/2)x2^(15/2) + (-q^(19/2) - q^(17/2) - 2q^(15/2))x1^(5/2)x2^(15/2) + (-q^(17/2) - 2q^(15/2) - 5q^(13/2) - 8q^(11/2) - 11q^(9/2) - 13q^(7/2) - 16q^(5/2) - 13q^(3/2) - 12q^(1/2) - 10q^(-1/2) - 11q^(-3/2) - 9q^(-5/2) - 7q^(-7/2) - 4q^(-9/2) - 3q^(-11/2) - q^(-13/2))x1^(1/2)x2^(17/2) + (q^(21/2) + 2q^(19/2) + 5q^(17/2) + 7q^(15/2) + 2q^(13/2) + 4q^(11/2) + 10q^(9/2) + 9q^(7/2) + 8q^(5/2) + 4q^(3/2) + q^(1/2))x1^(3/2)x2^(17/2) + (-q^(25/2) - 3q^(19/2) - 3q^(17/2) - 4q^(15/2) - q^(13/2))x1^(5/2)x2^(17/2) + (q^(23/2))x1^(7/2)x2^(17/2) + (-q^(21/2) - q^(19/2) - 5q^(17/2) - 7q^(15/2) - 12q^(13/2) - 16q^(11/2) - 21q^(9/2) - 23q^(7/2) - 28q^(5/2) - 24q^(3/2) - 25q^(1/2) - 22q^(-1/2) - 20q^(-3/2) - 18q^(-5/2) - 18q^(-7/2) - 12q^(-9/2) - 12q^(-11/2) - 8q^(-13/2) - 6q^(-15/2) - 2q^(-17/2) - 2q^(-19/2))x1^(1/2)x2^(19/2) + (q^(25/2) + 2q^(23/2) + 5q^(21/2) + 6q^(19/2) + 11q^(17/2) + 15q^(15/2) + 9q^(13/2) + 9q^(11/2) + 13q^(9/2) + 14q^(7/2) + 17q^(5/2) + 15q^(3/2) + 10q^(1/2) + 4q^(-1/2) + 2q^(-3/2))x1^(3/2)x2^(19/2) + (-q^(29/2) - 3q^(27/2) - 2q^(25/2) - q^(21/2) - 6q^(19/2) - 7q^(17/2) - 9q^(15/2) - 4q^(13/2) - 2q^(11/2))x1^(5/2)x2^(19/2) + (q^(29/2) + q^(27/2) + q^(25/2) + 2q^(23/2))x1^(7/2)x2^(19/2)
`(1/2, 5/2)`		`x1^(-1/2)x2^(-5/2)`	`q^(5/2)`		(-q^(5/2))x1^(-1/2)x2^(-5/2) + (-2q^(5/2))x1^(-1/2)x2^(-7/2) + (-q^(7/2) - 3q^(5/2) - q^(3/2))x1^(-1/2)x2^(-9/2) + (q^(9/2))x1^(-3/2)x2^(-9/2) + (-q^(9/2) - 2q^(7/2) - 4q^(5/2) - 2q^(3/2) - 2q^(1/2))x1^(-1/2)x2^(-11/2) + (q^(11/2) + 2q^(9/2))x1^(-3/2)x2^(-11/2) + (-q^(11/2) - 3q^(9/2) - 4q^(7/2) - 6q^(5/2) - 3q^(3/2) - 4q^(1/2) - 3q^(-1/2) - q^(-3/2))x1^(-1/2)x2^(-13/2) + (q^(15/2) + 2q^(11/2) + 4q^(9/2) + q^(7/2))x1^(-3/2)x2^(-13/2) + (-q^(15/2))x1^(-5/2)x2^(-13/2) + (-2q^(13/2) - 3q^(11/2) - 6q^(9/2) - 7q^(7/2) - 10q^(5/2) - 6q^(3/2) - 6q^(1/2) - 6q^(-1/2) - 6q^(-3/2) - 2q^(-5/2) - 2q^(-7/2))x1^(-1/2)x2^(-15/2) + (2q^(17/2) + 3q^(15/2) + 3q^(11/2) + 7q^(9/2) + 4q^(7/2) + 2q^(5/2))x1^(-3/2)x2^(-15/2) + (-q^(19/2) - q^(17/2) - 2q^(15/2))x1^(-5/2)x2^(-15/2) + (-q^(17/2) - 2q^(15/2) - 5q^(13/2) - 8q^(11/2) - 11q^(9/2) - 13q^(7/2) - 16q^(5/2) - 13q^(3/2) - 12q^(1/2) - 10q^(-1/2) - 11q^(-3/2) - 9q^(-5/2) - 7q^(-7/2) - 4q^(-9/2) - 3q^(-11/2) - q^(-13/2))x1^(-1/2)x2^(-17/2) + (q^(21/2) + 2q^(19/2) + 5q^(17/2) + 7q^(15/2) + 2q^(13/2) + 4q^(11/2) + 10q^(9/2) + 9q^(7/2) + 8q^(5/2) + 4q^(3/2) + q^(1/2))x1^(-3/2)x2^(-17/2) + (-q^(25/2) - 3q^(19/2) - 3q^(17/2) - 4q^(15/2) - q^(13/2))x1^(-5/2)x2^(-17/2) + (q^(23/2))x1^(-7/2)x2^(-17/2) + (-q^(21/2) - q^(19/2) - 5q^(17/2) - 7q^(15/2) - 12q^(13/2) - 16q^(11/2) - 21q^(9/2) - 23q^(7/2) - 28q^(5/2) - 24q^(3/2) - 25q^(1/2) - 22q^(-1/2) - 20q^(-3/2) - 18q^(-5/2) - 18q^(-7/2) - 12q^(-9/2) - 12q^(-11/2) - 8q^(-13/2) - 6q^(-15/2) - 2q^(-17/2) - 2q^(-19/2))x1^(-1/2)x2^(-19/2) + (q^(25/2) + 2q^(23/2) + 5q^(21/2) + 6q^(19/2) + 11q^(17/2) + 15q^(15/2) + 9q^(13/2) + 9q^(11/2) + 13q^(9/2) + 14q^(7/2) + 17q^(5/2) + 15q^(3/2) + 10q^(1/2) + 4q^(-1/2) + 2q^(-3/2))x1^(-3/2)x2^(-19/2) + (-q^(29/2) - 3q^(27/2) - 2q^(25/2) - q^(21/2) - 6q^(19/2) - 7q^(17/2) - 9q^(15/2) - 4q^(13/2) - 2q^(11/2))x1^(-5/2)x2^(-19/2) + (q^(29/2) + q^(27/2) + q^(25/2) + 2q^(23/2))x1^(-7/2)x2^(-19/2)

(-1/2, -5/2)

(1, 1)

x1^(1/2)x2^(5/2)

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^(1/2)*x2^(5/2) + (-2*q^(5/2))*x1^(1/2)*x2^(7/2) + (-q^(7/2) - 3*q^(5/2) - q^(3/2))*x1^(1/2)*x2^(9/2) + (q^(9/2))*x1^(3/2)*x2^(9/2) + (-q^(9/2) - 2*q^(7/2) - 4*q^(5/2) - 2*q^(3/2) - 2*q^(1/2))*x1^(1/2)*x2^(11/2) + (q^(11/2) + 2*q^(9/2))*x1^(3/2)*x2^(11/2) + (-q^(11/2) - 3*q^(9/2) - 4*q^(7/2) - 6*q^(5/2) - 3*q^(3/2) - 4*q^(1/2) - 3*q^(-1/2) - q^(-3/2))*x1^(1/2)*x2^(13/2) + (q^(15/2) + 2*q^(11/2) + 4*q^(9/2) + q^(7/2))*x1^(3/2)*x2^(13/2) + (-q^(15/2))*x1^(5/2)*x2^(13/2) + (-2*q^(13/2) - 3*q^(11/2) - 6*q^(9/2) - 7*q^(7/2) - 10*q^(5/2) - 6*q^(3/2) - 6*q^(1/2) - 6*q^(-1/2) - 6*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2))*x1^(1/2)*x2^(15/2) + (2*q^(17/2) + 3*q^(15/2) + 3*q^(11/2) + 7*q^(9/2) + 4*q^(7/2) + 2*q^(5/2))*x1^(3/2)*x2^(15/2) + (-q^(19/2) - q^(17/2) - 2*q^(15/2))*x1^(5/2)*x2^(15/2) + (-q^(17/2) - 2*q^(15/2) - 5*q^(13/2) - 8*q^(11/2) - 11*q^(9/2) - 13*q^(7/2) - 16*q^(5/2) - 13*q^(3/2) - 12*q^(1/2) - 10*q^(-1/2) - 11*q^(-3/2) - 9*q^(-5/2) - 7*q^(-7/2) - 4*q^(-9/2) - 3*q^(-11/2) - q^(-13/2))*x1^(1/2)*x2^(17/2) + (q^(21/2) + 2*q^(19/2) + 5*q^(17/2) + 7*q^(15/2) + 2*q^(13/2) + 4*q^(11/2) + 10*q^(9/2) + 9*q^(7/2) + 8*q^(5/2) + 4*q^(3/2) + q^(1/2))*x1^(3/2)*x2^(17/2) + (-q^(25/2) - 3*q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - q^(13/2))*x1^(5/2)*x2^(17/2) + (q^(23/2))*x1^(7/2)*x2^(17/2) + (-q^(21/2) - q^(19/2) - 5*q^(17/2) - 7*q^(15/2) - 12*q^(13/2) - 16*q^(11/2) - 21*q^(9/2) - 23*q^(7/2) - 28*q^(5/2) - 24*q^(3/2) - 25*q^(1/2) - 22*q^(-1/2) - 20*q^(-3/2) - 18*q^(-5/2) - 18*q^(-7/2) - 12*q^(-9/2) - 12*q^(-11/2) - 8*q^(-13/2) - 6*q^(-15/2) - 2*q^(-17/2) - 2*q^(-19/2))*x1^(1/2)*x2^(19/2) + (q^(25/2) + 2*q^(23/2) + 5*q^(21/2) + 6*q^(19/2) + 11*q^(17/2) + 15*q^(15/2) + 9*q^(13/2) + 9*q^(11/2) + 13*q^(9/2) + 14*q^(7/2) + 17*q^(5/2) + 15*q^(3/2) + 10*q^(1/2) + 4*q^(-1/2) + 2*q^(-3/2))*x1^(3/2)*x2^(19/2) + (-q^(29/2) - 3*q^(27/2) - 2*q^(25/2) - q^(21/2) - 6*q^(19/2) - 7*q^(17/2) - 9*q^(15/2) - 4*q^(13/2) - 2*q^(11/2))*x1^(5/2)*x2^(19/2) + (q^(29/2) + q^(27/2) + q^(25/2) + 2*q^(23/2))*x1^(7/2)*x2^(19/2)

(-1/2, -5/2)

(1, 1)

x1^(1/2)x2^(5/2)

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^(1/2)*x2^(5/2) + (-2*q^(5/2))*x1^(1/2)*x2^(7/2) + (-q^(7/2) - 3*q^(5/2) - q^(3/2))*x1^(1/2)*x2^(9/2) + (q^(9/2))*x1^(3/2)*x2^(9/2) + (-q^(9/2) - 2*q^(7/2) - 4*q^(5/2) - 2*q^(3/2) - 2*q^(1/2))*x1^(1/2)*x2^(11/2) + (q^(11/2) + 2*q^(9/2))*x1^(3/2)*x2^(11/2) + (-q^(11/2) - 3*q^(9/2) - 4*q^(7/2) - 6*q^(5/2) - 3*q^(3/2) - 4*q^(1/2) - 3*q^(-1/2) - q^(-3/2))*x1^(1/2)*x2^(13/2) + (q^(15/2) + 2*q^(11/2) + 4*q^(9/2) + q^(7/2))*x1^(3/2)*x2^(13/2) + (-q^(15/2))*x1^(5/2)*x2^(13/2) + (-2*q^(13/2) - 3*q^(11/2) - 6*q^(9/2) - 7*q^(7/2) - 10*q^(5/2) - 6*q^(3/2) - 6*q^(1/2) - 6*q^(-1/2) - 6*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2))*x1^(1/2)*x2^(15/2) + (2*q^(17/2) + 3*q^(15/2) + 3*q^(11/2) + 7*q^(9/2) + 4*q^(7/2) + 2*q^(5/2))*x1^(3/2)*x2^(15/2) + (-q^(19/2) - q^(17/2) - 2*q^(15/2))*x1^(5/2)*x2^(15/2) + (-q^(17/2) - 2*q^(15/2) - 5*q^(13/2) - 8*q^(11/2) - 11*q^(9/2) - 13*q^(7/2) - 16*q^(5/2) - 13*q^(3/2) - 12*q^(1/2) - 10*q^(-1/2) - 11*q^(-3/2) - 9*q^(-5/2) - 7*q^(-7/2) - 4*q^(-9/2) - 3*q^(-11/2) - q^(-13/2))*x1^(1/2)*x2^(17/2) + (q^(21/2) + 2*q^(19/2) + 5*q^(17/2) + 7*q^(15/2) + 2*q^(13/2) + 4*q^(11/2) + 10*q^(9/2) + 9*q^(7/2) + 8*q^(5/2) + 4*q^(3/2) + q^(1/2))*x1^(3/2)*x2^(17/2) + (-q^(25/2) - 3*q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - q^(13/2))*x1^(5/2)*x2^(17/2) + (q^(23/2))*x1^(7/2)*x2^(17/2) + (-q^(21/2) - q^(19/2) - 5*q^(17/2) - 7*q^(15/2) - 12*q^(13/2) - 16*q^(11/2) - 21*q^(9/2) - 23*q^(7/2) - 28*q^(5/2) - 24*q^(3/2) - 25*q^(1/2) - 22*q^(-1/2) - 20*q^(-3/2) - 18*q^(-5/2) - 18*q^(-7/2) - 12*q^(-9/2) - 12*q^(-11/2) - 8*q^(-13/2) - 6*q^(-15/2) - 2*q^(-17/2) - 2*q^(-19/2))*x1^(1/2)*x2^(19/2) + (q^(25/2) + 2*q^(23/2) + 5*q^(21/2) + 6*q^(19/2) + 11*q^(17/2) + 15*q^(15/2) + 9*q^(13/2) + 9*q^(11/2) + 13*q^(9/2) + 14*q^(7/2) + 17*q^(5/2) + 15*q^(3/2) + 10*q^(1/2) + 4*q^(-1/2) + 2*q^(-3/2))*x1^(3/2)*x2^(19/2) + (-q^(29/2) - 3*q^(27/2) - 2*q^(25/2) - q^(21/2) - 6*q^(19/2) - 7*q^(17/2) - 9*q^(15/2) - 4*q^(13/2) - 2*q^(11/2))*x1^(5/2)*x2^(19/2) + (q^(29/2) + q^(27/2) + q^(25/2) + 2*q^(23/2))*x1^(7/2)*x2^(19/2)

(1/2, 5/2)

x1^(-1/2)x2^(-5/2)

q^(5/2)

(-q^(5/2))*x1^(-1/2)*x2^(-5/2) + (-2*q^(5/2))*x1^(-1/2)*x2^(-7/2) + (-q^(7/2) - 3*q^(5/2) - q^(3/2))*x1^(-1/2)*x2^(-9/2) + (q^(9/2))*x1^(-3/2)*x2^(-9/2) + (-q^(9/2) - 2*q^(7/2) - 4*q^(5/2) - 2*q^(3/2) - 2*q^(1/2))*x1^(-1/2)*x2^(-11/2) + (q^(11/2) + 2*q^(9/2))*x1^(-3/2)*x2^(-11/2) + (-q^(11/2) - 3*q^(9/2) - 4*q^(7/2) - 6*q^(5/2) - 3*q^(3/2) - 4*q^(1/2) - 3*q^(-1/2) - q^(-3/2))*x1^(-1/2)*x2^(-13/2) + (q^(15/2) + 2*q^(11/2) + 4*q^(9/2) + q^(7/2))*x1^(-3/2)*x2^(-13/2) + (-q^(15/2))*x1^(-5/2)*x2^(-13/2) + (-2*q^(13/2) - 3*q^(11/2) - 6*q^(9/2) - 7*q^(7/2) - 10*q^(5/2) - 6*q^(3/2) - 6*q^(1/2) - 6*q^(-1/2) - 6*q^(-3/2) - 2*q^(-5/2) - 2*q^(-7/2))*x1^(-1/2)*x2^(-15/2) + (2*q^(17/2) + 3*q^(15/2) + 3*q^(11/2) + 7*q^(9/2) + 4*q^(7/2) + 2*q^(5/2))*x1^(-3/2)*x2^(-15/2) + (-q^(19/2) - q^(17/2) - 2*q^(15/2))*x1^(-5/2)*x2^(-15/2) + (-q^(17/2) - 2*q^(15/2) - 5*q^(13/2) - 8*q^(11/2) - 11*q^(9/2) - 13*q^(7/2) - 16*q^(5/2) - 13*q^(3/2) - 12*q^(1/2) - 10*q^(-1/2) - 11*q^(-3/2) - 9*q^(-5/2) - 7*q^(-7/2) - 4*q^(-9/2) - 3*q^(-11/2) - q^(-13/2))*x1^(-1/2)*x2^(-17/2) + (q^(21/2) + 2*q^(19/2) + 5*q^(17/2) + 7*q^(15/2) + 2*q^(13/2) + 4*q^(11/2) + 10*q^(9/2) + 9*q^(7/2) + 8*q^(5/2) + 4*q^(3/2) + q^(1/2))*x1^(-3/2)*x2^(-17/2) + (-q^(25/2) - 3*q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - q^(13/2))*x1^(-5/2)*x2^(-17/2) + (q^(23/2))*x1^(-7/2)*x2^(-17/2) + (-q^(21/2) - q^(19/2) - 5*q^(17/2) - 7*q^(15/2) - 12*q^(13/2) - 16*q^(11/2) - 21*q^(9/2) - 23*q^(7/2) - 28*q^(5/2) - 24*q^(3/2) - 25*q^(1/2) - 22*q^(-1/2) - 20*q^(-3/2) - 18*q^(-5/2) - 18*q^(-7/2) - 12*q^(-9/2) - 12*q^(-11/2) - 8*q^(-13/2) - 6*q^(-15/2) - 2*q^(-17/2) - 2*q^(-19/2))*x1^(-1/2)*x2^(-19/2) + (q^(25/2) + 2*q^(23/2) + 5*q^(21/2) + 6*q^(19/2) + 11*q^(17/2) + 15*q^(15/2) + 9*q^(13/2) + 9*q^(11/2) + 13*q^(9/2) + 14*q^(7/2) + 17*q^(5/2) + 15*q^(3/2) + 10*q^(1/2) + 4*q^(-1/2) + 2*q^(-3/2))*x1^(-3/2)*x2^(-19/2) + (-q^(29/2) - 3*q^(27/2) - 2*q^(25/2) - q^(21/2) - 6*q^(19/2) - 7*q^(17/2) - 9*q^(15/2) - 4*q^(13/2) - 2*q^(11/2))*x1^(-5/2)*x2^(-19/2) + (q^(29/2) + q^(27/2) + q^(25/2) + 2*q^(23/2))*x1^(-7/2)*x2^(-19/2)

Braid

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

Multivariable Alexander polynomial

Δ_L
`-A1^(1/2)A2^(5/2) + 2A1^(1/2)A2^(3/2) + A1^(1/2)A2^(1/2) - A1^(1/2)A2^(-1/2) - A1^(-1/2)A2^(1/2) + A1^(-1/2)A2^(-1/2) + 2A1^(-1/2)A2^(-3/2) - A1^(-1/2)A2^(-5/2)`

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
`(-1, -5)`	yes
`(1, -1)`	yes
`(1, 5)`	yes
`(-1, 1)`	yes

HFL polytope

Poincaré polynomial
`m^(-7)A1^(-1)A2^(-3) + 3m^(-6)A1^(-1)A2^(-2) + m^(-6)A2^(-3) + 2m^(-5)A1^(-1)A2^(-1) + 3m^(-5)A2^(-2) + m^(-4)A1^(-1)A2^(-1) + 2m^(-4)A2^(-1) + 2m^(-3)A1^(-1) + 2m^(-3)A2^(-1) + m^(-3) + m^(-2)A1^(-1)A2 + 5m^(-2) + 2m^(-2)A2 + m^(-2)A1A2^(-1) + 2m^(-1)A2 + 3m^(-1)A2^2 + 2m^(-1)A1 + 2m^(-1)A1A2 + A2^3 + A1A2 + 3A1A2^2 + mA1A2^3`

Vertex	Maslov	Rank
`(-1, -3)`	-7	1
`(0, -3)`	-6	1
`(1, -1)`	-2	1
`(1, 3)`	1	1
`(0, 3)`	0	1
`(-1, 1)`	-2	1

Record

FL/HFL Links

`orderOption(int)`	`514`
`namestring`	`L10n25{1}`
`statusstring`	`success`
`slugstring`	`L10n25_1_44bc9ba4`
`result_filestring`	`details/L10n25_1_44bc9ba4.json`
`complexity_scoreOption(int)`	`200`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`10`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`42`
`wall_secondsOption(float)`	`0.003179`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`2`
`support_sizeOption(int)`	`17`
`vertex_countOption(int)`	`6`
`fibered_vertex_countOption(int)`	`4`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`8`
`alexander_vertex_countOption(int)`	`4`
`alexander_relationstring`	`not_computed`
`fk_countint`	`2`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L10n25_1_44bc9ba4" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L10n25_1_44bc9ba4`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions