L11n77{0} - HFL and FL

details/L11n77_0_71313570.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	Inversion cycle	F_L
`(-1/2, -5/2)`	`(1, 1)`	`x1^(1/2)x2^(5/2)`	`q^(-33/2)`	`{"0": [1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1], "1": [-1, 1, -1, -1, -1, -1]}`		(-q^(-3/2))x1^(1/2)x2^(5/2) + (-4q^(-3/2))x1^(1/2)x2^(7/2) + (-2q^(-1/2) - 10q^(-3/2) + 3q^(-5/2))x1^(1/2)x2^(9/2) + (-3q^(-7/2))x1^(3/2)x2^(9/2) + (-4q^(1/2) - 8q^(-1/2) - 16q^(-3/2) + 12q^(-5/2) + 5q^(-7/2))x1^(1/2)x2^(11/2) + (-4q^(-5/2) - 12q^(-7/2) - q^(-9/2))x1^(3/2)x2^(11/2) + (-2q^(5/2) - 6q^(3/2) - 17q^(1/2) - 11q^(-1/2) - 13q^(-3/2) + 37q^(-5/2) + 17q^(-7/2) + 2q^(-9/2))x1^(1/2)x2^(13/2) + (-9q^(-3/2) - 22q^(-5/2) - 33q^(-7/2) + 3q^(-9/2) + 9q^(-11/2) + 2q^(-13/2))x1^(3/2)x2^(13/2) + (-q^(-11/2) - 3q^(-13/2) - 5q^(-15/2))x1^(5/2)x2^(13/2) + (-4q^(9/2) - 4q^(7/2) - 16q^(5/2) - 24q^(3/2) - 24q^(1/2) + 12q^(-1/2) + 23q^(-3/2) + 86q^(-5/2) + 39q^(-7/2) - 3q^(-11/2) - 7q^(-13/2))x1^(1/2)x2^(15/2) + (-4q^(1/2) - 20q^(-1/2) - 52q^(-3/2) - 70q^(-5/2) - 54q^(-7/2) + 41q^(-9/2) + 55q^(-11/2) + 24q^(-13/2) + 3q^(-15/2) + 2q^(-17/2))x1^(3/2)x2^(15/2) + (-4q^(-9/2) - 16q^(-11/2) - 22q^(-13/2) - 21q^(-15/2) - q^(-17/2) - 2q^(-19/2))x1^(5/2)x2^(15/2) + (-2q^(15/2) - 6q^(13/2) - 8q^(11/2) - 22q^(9/2) - 20q^(7/2) - 44q^(5/2) - 18q^(3/2) + 30q^(1/2) + 113q^(-1/2) + 111q^(-3/2) + 159q^(-5/2) + 49q^(-7/2) - 30q^(-9/2) - 31q^(-11/2) - 33q^(-13/2) - 9q^(-15/2) - 9q^(-17/2))x1^(1/2)x2^(17/2) + (-8q^(5/2) - 18q^(3/2) - 58q^(1/2) - 116q^(-1/2) - 161q^(-3/2) - 112q^(-5/2) + 12q^(-7/2) + 214q^(-9/2) + 213q^(-11/2) + 97q^(-13/2) + 16q^(-15/2) - 11q^(-17/2) - 3q^(-19/2))x1^(3/2)x2^(17/2) + (-2q^(-5/2) - 18q^(-7/2) - 49q^(-9/2) - 91q^(-11/2) - 88q^(-13/2) - 53q^(-15/2) + 22q^(-17/2) + 19q^(-19/2) + 12q^(-21/2) + 2q^(-23/2) + 2q^(-25/2))x1^(5/2)x2^(17/2) + (-3q^(-19/2) - 4q^(-21/2) - 8q^(-23/2) - 5q^(-25/2) - 7q^(-27/2))x1^(7/2)x2^(17/2) + (-4q^(21/2) - 4q^(19/2) - 12q^(17/2) - 20q^(15/2) - 32q^(13/2) - 28q^(11/2) - 48q^(9/2) - 24q^(7/2) + 4q^(5/2) + 130q^(3/2) + 246q^(1/2) + 320q^(-1/2) + 227q^(-3/2) + 179q^(-5/2) - 34q^(-7/2) - 166q^(-9/2) - 137q^(-11/2) - 117q^(-13/2) - 44q^(-15/2) - 35q^(-17/2) - 4q^(-19/2) - 2q^(-21/2))x1^(1/2)x2^(19/2) + (-4q^(11/2) - 16q^(9/2) - 36q^(7/2) - 84q^(5/2) - 156q^(3/2) - 268q^(1/2) - 318q^(-1/2) - 212q^(-3/2) + 107q^(-5/2) + 464q^(-7/2) + 761q^(-9/2) + 599q^(-11/2) + 225q^(-13/2) - 31q^(-15/2) - 114q^(-17/2) - 81q^(-19/2) - 35q^(-21/2) - 10q^(-23/2) - 4q^(-25/2) - 2q^(-27/2))x1^(3/2)x2^(19/2) + (-4q^(-1/2) - 24q^(-3/2) - 68q^(-5/2) - 168q^(-7/2) - 268q^(-9/2) - 321q^(-11/2) - 205q^(-13/2) - 6q^(-15/2) + 214q^(-17/2) + 203q^(-19/2) + 114q^(-21/2) + 29q^(-23/2) + 11q^(-25/2) + 6q^(-27/2) + 4q^(-29/2) + 2q^(-31/2))x1^(5/2)x2^(19/2) + (-4q^(-15/2) - 16q^(-17/2) - 36q^(-19/2) - 53q^(-21/2) - 58q^(-23/2) - 37q^(-25/2) - 30q^(-27/2) - 3q^(-29/2) - 4q^(-31/2) - 2q^(-33/2))x1^(7/2)x2^(19/2)
`(1/2, 5/2)`		`x1^(-1/2)x2^(-5/2)`	`q^(-33/2)`			(-q^(-3/2))x1^(-1/2)x2^(-5/2) + (-4q^(-3/2))x1^(-1/2)x2^(-7/2) + (-2q^(-1/2) - 10q^(-3/2) + 3q^(-5/2))x1^(-1/2)x2^(-9/2) + (-3q^(-7/2))x1^(-3/2)x2^(-9/2) + (-4q^(1/2) - 8q^(-1/2) - 16q^(-3/2) + 12q^(-5/2) + 5q^(-7/2))x1^(-1/2)x2^(-11/2) + (-4q^(-5/2) - 12q^(-7/2) - q^(-9/2))x1^(-3/2)x2^(-11/2) + (-2q^(5/2) - 6q^(3/2) - 17q^(1/2) - 11q^(-1/2) - 13q^(-3/2) + 37q^(-5/2) + 17q^(-7/2) + 2q^(-9/2))x1^(-1/2)x2^(-13/2) + (-9q^(-3/2) - 22q^(-5/2) - 33q^(-7/2) + 3q^(-9/2) + 9q^(-11/2) + 2q^(-13/2))x1^(-3/2)x2^(-13/2) + (-q^(-11/2) - 3q^(-13/2) - 5q^(-15/2))x1^(-5/2)x2^(-13/2) + (-4q^(9/2) - 4q^(7/2) - 16q^(5/2) - 24q^(3/2) - 24q^(1/2) + 12q^(-1/2) + 23q^(-3/2) + 86q^(-5/2) + 39q^(-7/2) - 3q^(-11/2) - 7q^(-13/2))x1^(-1/2)x2^(-15/2) + (-4q^(1/2) - 20q^(-1/2) - 52q^(-3/2) - 70q^(-5/2) - 54q^(-7/2) + 41q^(-9/2) + 55q^(-11/2) + 24q^(-13/2) + 3q^(-15/2) + 2q^(-17/2))x1^(-3/2)x2^(-15/2) + (-4q^(-9/2) - 16q^(-11/2) - 22q^(-13/2) - 21q^(-15/2) - q^(-17/2) - 2q^(-19/2))x1^(-5/2)x2^(-15/2) + (-2q^(15/2) - 6q^(13/2) - 8q^(11/2) - 22q^(9/2) - 20q^(7/2) - 44q^(5/2) - 18q^(3/2) + 30q^(1/2) + 113q^(-1/2) + 111q^(-3/2) + 159q^(-5/2) + 49q^(-7/2) - 30q^(-9/2) - 31q^(-11/2) - 33q^(-13/2) - 9q^(-15/2) - 9q^(-17/2))x1^(-1/2)x2^(-17/2) + (-8q^(5/2) - 18q^(3/2) - 58q^(1/2) - 116q^(-1/2) - 161q^(-3/2) - 112q^(-5/2) + 12q^(-7/2) + 214q^(-9/2) + 213q^(-11/2) + 97q^(-13/2) + 16q^(-15/2) - 11q^(-17/2) - 3q^(-19/2))x1^(-3/2)x2^(-17/2) + (-2q^(-5/2) - 18q^(-7/2) - 49q^(-9/2) - 91q^(-11/2) - 88q^(-13/2) - 53q^(-15/2) + 22q^(-17/2) + 19q^(-19/2) + 12q^(-21/2) + 2q^(-23/2) + 2q^(-25/2))x1^(-5/2)x2^(-17/2) + (-3q^(-19/2) - 4q^(-21/2) - 8q^(-23/2) - 5q^(-25/2) - 7q^(-27/2))x1^(-7/2)x2^(-17/2) + (-4q^(21/2) - 4q^(19/2) - 12q^(17/2) - 20q^(15/2) - 32q^(13/2) - 28q^(11/2) - 48q^(9/2) - 24q^(7/2) + 4q^(5/2) + 130q^(3/2) + 246q^(1/2) + 320q^(-1/2) + 227q^(-3/2) + 179q^(-5/2) - 34q^(-7/2) - 166q^(-9/2) - 137q^(-11/2) - 117q^(-13/2) - 44q^(-15/2) - 35q^(-17/2) - 4q^(-19/2) - 2q^(-21/2))x1^(-1/2)x2^(-19/2) + (-4q^(11/2) - 16q^(9/2) - 36q^(7/2) - 84q^(5/2) - 156q^(3/2) - 268q^(1/2) - 318q^(-1/2) - 212q^(-3/2) + 107q^(-5/2) + 464q^(-7/2) + 761q^(-9/2) + 599q^(-11/2) + 225q^(-13/2) - 31q^(-15/2) - 114q^(-17/2) - 81q^(-19/2) - 35q^(-21/2) - 10q^(-23/2) - 4q^(-25/2) - 2q^(-27/2))x1^(-3/2)x2^(-19/2) + (-4q^(-1/2) - 24q^(-3/2) - 68q^(-5/2) - 168q^(-7/2) - 268q^(-9/2) - 321q^(-11/2) - 205q^(-13/2) - 6q^(-15/2) + 214q^(-17/2) + 203q^(-19/2) + 114q^(-21/2) + 29q^(-23/2) + 11q^(-25/2) + 6q^(-27/2) + 4q^(-29/2) + 2q^(-31/2))x1^(-5/2)x2^(-19/2) + (-4q^(-15/2) - 16q^(-17/2) - 36q^(-19/2) - 53q^(-21/2) - 58q^(-23/2) - 37q^(-25/2) - 30q^(-27/2) - 3q^(-29/2) - 4q^(-31/2) - 2q^(-33/2))x1^(-7/2)x2^(-19/2)

(-1/2, -5/2)

(1, 1)

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

q^(-33/2)

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

(-q^(-3/2))*x1^(1/2)*x2^(5/2) + (-4*q^(-3/2))*x1^(1/2)*x2^(7/2) + (-2*q^(-1/2) - 10*q^(-3/2) + 3*q^(-5/2))*x1^(1/2)*x2^(9/2) + (-3*q^(-7/2))*x1^(3/2)*x2^(9/2) + (-4*q^(1/2) - 8*q^(-1/2) - 16*q^(-3/2) + 12*q^(-5/2) + 5*q^(-7/2))*x1^(1/2)*x2^(11/2) + (-4*q^(-5/2) - 12*q^(-7/2) - q^(-9/2))*x1^(3/2)*x2^(11/2) + (-2*q^(5/2) - 6*q^(3/2) - 17*q^(1/2) - 11*q^(-1/2) - 13*q^(-3/2) + 37*q^(-5/2) + 17*q^(-7/2) + 2*q^(-9/2))*x1^(1/2)*x2^(13/2) + (-9*q^(-3/2) - 22*q^(-5/2) - 33*q^(-7/2) + 3*q^(-9/2) + 9*q^(-11/2) + 2*q^(-13/2))*x1^(3/2)*x2^(13/2) + (-q^(-11/2) - 3*q^(-13/2) - 5*q^(-15/2))*x1^(5/2)*x2^(13/2) + (-4*q^(9/2) - 4*q^(7/2) - 16*q^(5/2) - 24*q^(3/2) - 24*q^(1/2) + 12*q^(-1/2) + 23*q^(-3/2) + 86*q^(-5/2) + 39*q^(-7/2) - 3*q^(-11/2) - 7*q^(-13/2))*x1^(1/2)*x2^(15/2) + (-4*q^(1/2) - 20*q^(-1/2) - 52*q^(-3/2) - 70*q^(-5/2) - 54*q^(-7/2) + 41*q^(-9/2) + 55*q^(-11/2) + 24*q^(-13/2) + 3*q^(-15/2) + 2*q^(-17/2))*x1^(3/2)*x2^(15/2) + (-4*q^(-9/2) - 16*q^(-11/2) - 22*q^(-13/2) - 21*q^(-15/2) - q^(-17/2) - 2*q^(-19/2))*x1^(5/2)*x2^(15/2) + (-2*q^(15/2) - 6*q^(13/2) - 8*q^(11/2) - 22*q^(9/2) - 20*q^(7/2) - 44*q^(5/2) - 18*q^(3/2) + 30*q^(1/2) + 113*q^(-1/2) + 111*q^(-3/2) + 159*q^(-5/2) + 49*q^(-7/2) - 30*q^(-9/2) - 31*q^(-11/2) - 33*q^(-13/2) - 9*q^(-15/2) - 9*q^(-17/2))*x1^(1/2)*x2^(17/2) + (-8*q^(5/2) - 18*q^(3/2) - 58*q^(1/2) - 116*q^(-1/2) - 161*q^(-3/2) - 112*q^(-5/2) + 12*q^(-7/2) + 214*q^(-9/2) + 213*q^(-11/2) + 97*q^(-13/2) + 16*q^(-15/2) - 11*q^(-17/2) - 3*q^(-19/2))*x1^(3/2)*x2^(17/2) + (-2*q^(-5/2) - 18*q^(-7/2) - 49*q^(-9/2) - 91*q^(-11/2) - 88*q^(-13/2) - 53*q^(-15/2) + 22*q^(-17/2) + 19*q^(-19/2) + 12*q^(-21/2) + 2*q^(-23/2) + 2*q^(-25/2))*x1^(5/2)*x2^(17/2) + (-3*q^(-19/2) - 4*q^(-21/2) - 8*q^(-23/2) - 5*q^(-25/2) - 7*q^(-27/2))*x1^(7/2)*x2^(17/2) + (-4*q^(21/2) - 4*q^(19/2) - 12*q^(17/2) - 20*q^(15/2) - 32*q^(13/2) - 28*q^(11/2) - 48*q^(9/2) - 24*q^(7/2) + 4*q^(5/2) + 130*q^(3/2) + 246*q^(1/2) + 320*q^(-1/2) + 227*q^(-3/2) + 179*q^(-5/2) - 34*q^(-7/2) - 166*q^(-9/2) - 137*q^(-11/2) - 117*q^(-13/2) - 44*q^(-15/2) - 35*q^(-17/2) - 4*q^(-19/2) - 2*q^(-21/2))*x1^(1/2)*x2^(19/2) + (-4*q^(11/2) - 16*q^(9/2) - 36*q^(7/2) - 84*q^(5/2) - 156*q^(3/2) - 268*q^(1/2) - 318*q^(-1/2) - 212*q^(-3/2) + 107*q^(-5/2) + 464*q^(-7/2) + 761*q^(-9/2) + 599*q^(-11/2) + 225*q^(-13/2) - 31*q^(-15/2) - 114*q^(-17/2) - 81*q^(-19/2) - 35*q^(-21/2) - 10*q^(-23/2) - 4*q^(-25/2) - 2*q^(-27/2))*x1^(3/2)*x2^(19/2) + (-4*q^(-1/2) - 24*q^(-3/2) - 68*q^(-5/2) - 168*q^(-7/2) - 268*q^(-9/2) - 321*q^(-11/2) - 205*q^(-13/2) - 6*q^(-15/2) + 214*q^(-17/2) + 203*q^(-19/2) + 114*q^(-21/2) + 29*q^(-23/2) + 11*q^(-25/2) + 6*q^(-27/2) + 4*q^(-29/2) + 2*q^(-31/2))*x1^(5/2)*x2^(19/2) + (-4*q^(-15/2) - 16*q^(-17/2) - 36*q^(-19/2) - 53*q^(-21/2) - 58*q^(-23/2) - 37*q^(-25/2) - 30*q^(-27/2) - 3*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2))*x1^(7/2)*x2^(19/2)

(1/2, 5/2)

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

q^(-33/2)

(-q^(-3/2))*x1^(-1/2)*x2^(-5/2) + (-4*q^(-3/2))*x1^(-1/2)*x2^(-7/2) + (-2*q^(-1/2) - 10*q^(-3/2) + 3*q^(-5/2))*x1^(-1/2)*x2^(-9/2) + (-3*q^(-7/2))*x1^(-3/2)*x2^(-9/2) + (-4*q^(1/2) - 8*q^(-1/2) - 16*q^(-3/2) + 12*q^(-5/2) + 5*q^(-7/2))*x1^(-1/2)*x2^(-11/2) + (-4*q^(-5/2) - 12*q^(-7/2) - q^(-9/2))*x1^(-3/2)*x2^(-11/2) + (-2*q^(5/2) - 6*q^(3/2) - 17*q^(1/2) - 11*q^(-1/2) - 13*q^(-3/2) + 37*q^(-5/2) + 17*q^(-7/2) + 2*q^(-9/2))*x1^(-1/2)*x2^(-13/2) + (-9*q^(-3/2) - 22*q^(-5/2) - 33*q^(-7/2) + 3*q^(-9/2) + 9*q^(-11/2) + 2*q^(-13/2))*x1^(-3/2)*x2^(-13/2) + (-q^(-11/2) - 3*q^(-13/2) - 5*q^(-15/2))*x1^(-5/2)*x2^(-13/2) + (-4*q^(9/2) - 4*q^(7/2) - 16*q^(5/2) - 24*q^(3/2) - 24*q^(1/2) + 12*q^(-1/2) + 23*q^(-3/2) + 86*q^(-5/2) + 39*q^(-7/2) - 3*q^(-11/2) - 7*q^(-13/2))*x1^(-1/2)*x2^(-15/2) + (-4*q^(1/2) - 20*q^(-1/2) - 52*q^(-3/2) - 70*q^(-5/2) - 54*q^(-7/2) + 41*q^(-9/2) + 55*q^(-11/2) + 24*q^(-13/2) + 3*q^(-15/2) + 2*q^(-17/2))*x1^(-3/2)*x2^(-15/2) + (-4*q^(-9/2) - 16*q^(-11/2) - 22*q^(-13/2) - 21*q^(-15/2) - q^(-17/2) - 2*q^(-19/2))*x1^(-5/2)*x2^(-15/2) + (-2*q^(15/2) - 6*q^(13/2) - 8*q^(11/2) - 22*q^(9/2) - 20*q^(7/2) - 44*q^(5/2) - 18*q^(3/2) + 30*q^(1/2) + 113*q^(-1/2) + 111*q^(-3/2) + 159*q^(-5/2) + 49*q^(-7/2) - 30*q^(-9/2) - 31*q^(-11/2) - 33*q^(-13/2) - 9*q^(-15/2) - 9*q^(-17/2))*x1^(-1/2)*x2^(-17/2) + (-8*q^(5/2) - 18*q^(3/2) - 58*q^(1/2) - 116*q^(-1/2) - 161*q^(-3/2) - 112*q^(-5/2) + 12*q^(-7/2) + 214*q^(-9/2) + 213*q^(-11/2) + 97*q^(-13/2) + 16*q^(-15/2) - 11*q^(-17/2) - 3*q^(-19/2))*x1^(-3/2)*x2^(-17/2) + (-2*q^(-5/2) - 18*q^(-7/2) - 49*q^(-9/2) - 91*q^(-11/2) - 88*q^(-13/2) - 53*q^(-15/2) + 22*q^(-17/2) + 19*q^(-19/2) + 12*q^(-21/2) + 2*q^(-23/2) + 2*q^(-25/2))*x1^(-5/2)*x2^(-17/2) + (-3*q^(-19/2) - 4*q^(-21/2) - 8*q^(-23/2) - 5*q^(-25/2) - 7*q^(-27/2))*x1^(-7/2)*x2^(-17/2) + (-4*q^(21/2) - 4*q^(19/2) - 12*q^(17/2) - 20*q^(15/2) - 32*q^(13/2) - 28*q^(11/2) - 48*q^(9/2) - 24*q^(7/2) + 4*q^(5/2) + 130*q^(3/2) + 246*q^(1/2) + 320*q^(-1/2) + 227*q^(-3/2) + 179*q^(-5/2) - 34*q^(-7/2) - 166*q^(-9/2) - 137*q^(-11/2) - 117*q^(-13/2) - 44*q^(-15/2) - 35*q^(-17/2) - 4*q^(-19/2) - 2*q^(-21/2))*x1^(-1/2)*x2^(-19/2) + (-4*q^(11/2) - 16*q^(9/2) - 36*q^(7/2) - 84*q^(5/2) - 156*q^(3/2) - 268*q^(1/2) - 318*q^(-1/2) - 212*q^(-3/2) + 107*q^(-5/2) + 464*q^(-7/2) + 761*q^(-9/2) + 599*q^(-11/2) + 225*q^(-13/2) - 31*q^(-15/2) - 114*q^(-17/2) - 81*q^(-19/2) - 35*q^(-21/2) - 10*q^(-23/2) - 4*q^(-25/2) - 2*q^(-27/2))*x1^(-3/2)*x2^(-19/2) + (-4*q^(-1/2) - 24*q^(-3/2) - 68*q^(-5/2) - 168*q^(-7/2) - 268*q^(-9/2) - 321*q^(-11/2) - 205*q^(-13/2) - 6*q^(-15/2) + 214*q^(-17/2) + 203*q^(-19/2) + 114*q^(-21/2) + 29*q^(-23/2) + 11*q^(-25/2) + 6*q^(-27/2) + 4*q^(-29/2) + 2*q^(-31/2))*x1^(-5/2)*x2^(-19/2) + (-4*q^(-15/2) - 16*q^(-17/2) - 36*q^(-19/2) - 53*q^(-21/2) - 58*q^(-23/2) - 37*q^(-25/2) - 30*q^(-27/2) - 3*q^(-29/2) - 4*q^(-31/2) - 2*q^(-33/2))*x1^(-7/2)*x2^(-19/2)

Braid

Braid word	Components	Crossings	Strands
`[1, -2, -2, -3, 4, 3, -2, 1, -2, 3, -2, -4, -3]`	2	13	5

Multivariable Alexander polynomial

Δ_L
`-A1^(1/2)A2^(5/2) + 4A1^(1/2)A2^(3/2) - 7A1^(1/2)A2^(1/2) + 3A1^(1/2)A2^(-1/2) + 3A1^(-1/2)A2^(1/2) - 7A1^(-1/2)A2^(-1/2) + 4A1^(-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)`	no
`(1, 5)`	yes
`(-1, 1)`	no

HFL polytope

Poincaré polynomial
`m^(-3)A1^(-1)A2^(-3) + 5m^(-2)A1^(-1)A2^(-2) + m^(-2)A2^(-3) + 11m^(-1)A1^(-1)A2^(-1) + 5m^(-1)A2^(-2) + 10A1^(-1) + 14A2^(-1) + 3mA1^(-1)A2 + 20m + 3mA1A2^(-1) + 14m^2A2 + 10m^2A1 + 5m^3A2^2 + 11m^3A1A2 + m^4A2^3 + 5m^4A1A2^2 + m^5A1*A2^3`

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

Record

FL/HFL Links

`orderOption(int)`	`1833`
`namestring`	`L11n77{0}`
`statusstring`	`success`
`slugstring`	`L11n77_0_71313570`
`result_filestring`	`details/L11n77_0_71313570.json`
`complexity_scoreOption(int)`	`242`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`11`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`120`
`wall_secondsOption(float)`	`0.002921`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`2`
`support_sizeOption(int)`	`17`
`vertex_countOption(int)`	`6`
`fibered_vertex_countOption(int)`	`2`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`8`
`alexander_vertex_countOption(int)`	`4`
`alexander_relationstring`	`not_computed`
`fk_countint`	`1`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L11n77_0_71313570" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L11n77_0_71313570`