L9a6{1} - HFL and FL

details/L9a6_1_d55ac6ee.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^(-1/2)`	`{"0": [-1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1], "1": [1, -1, 1, -1]}`	(-q^(-1/2))x1^(1/2)x2^(5/2) + (-2q^(-1/2))x1^(1/2)x2^(7/2) + (2q^(1/2))x1^(3/2)x2^(7/2) + (-3q^(-1/2) + 2q^(-3/2))x1^(1/2)x2^(9/2) + (2q^(3/2) + 4q^(1/2) - q^(-1/2))x1^(3/2)x2^(9/2) + (-3q^(5/2) - q^(3/2))x1^(5/2)x2^(9/2) + (-4q^(-1/2) + 4q^(-3/2) + q^(-5/2))x1^(1/2)x2^(11/2) + (2q^(5/2) + 4q^(3/2) + 4q^(1/2) - 6q^(-1/2) - q^(-3/2))x1^(3/2)x2^(11/2) + (-2q^(9/2) - 4q^(7/2) - 8q^(5/2) + 2q^(1/2))x1^(5/2)x2^(11/2) + (4q^(11/2) + 2q^(9/2) + 2q^(7/2))x1^(7/2)x2^(11/2) + (-5q^(-1/2) + 6q^(-3/2) + q^(-5/2) - q^(-7/2))x1^(1/2)x2^(13/2) + (2q^(7/2) + 4q^(5/2) + 4q^(3/2) - 13q^(-1/2) - 2q^(-3/2) + q^(-5/2))x1^(3/2)x2^(13/2) + (-2q^(13/2) - 2q^(11/2) - 9q^(9/2) - 9q^(7/2) - 7q^(5/2) + 11q^(3/2) + 8q^(1/2) + q^(-1/2))x1^(5/2)x2^(13/2) + (2q^(17/2) + 4q^(15/2) + 8q^(13/2) + 14q^(11/2) + 5q^(9/2) - 4q^(5/2) - q^(3/2))x1^(7/2)x2^(13/2) + (-5q^(19/2) - 3q^(17/2) - 4q^(15/2) - 3q^(13/2) - q^(11/2))x1^(9/2)x2^(13/2) + (-6q^(-1/2) + 8q^(-3/2) + q^(-5/2) - 3q^(-7/2) + q^(-9/2) - q^(-11/2))x1^(1/2)x2^(15/2) + (2q^(9/2) + 4q^(7/2) + 4q^(5/2) - 6q^(1/2) - 18q^(-1/2) + q^(-3/2) + 6q^(-5/2) + q^(-7/2) + q^(-9/2))x1^(3/2)x2^(15/2) + (-2q^(17/2) - 2q^(15/2) - 6q^(13/2) - 8q^(11/2) - 16q^(9/2) - 2q^(7/2) + 10q^(5/2) + 30q^(3/2) + 15q^(1/2) - 3q^(-1/2) - 3q^(-3/2) - q^(-5/2))x1^(5/2)x2^(15/2) + (2q^(23/2) + 2q^(21/2) + 6q^(19/2) + 12q^(17/2) + 20q^(15/2) + 20q^(13/2) + 16q^(11/2) - 14q^(9/2) - 19q^(7/2) - 16q^(5/2) - 4q^(3/2) + q^(1/2))x1^(7/2)x2^(15/2) + (-2q^(27/2) - 4q^(25/2) - 8q^(23/2) - 14q^(21/2) - 24q^(19/2) - 14q^(17/2) - 10q^(15/2) + 6q^(11/2) + 4q^(9/2) + 2q^(7/2))x1^(9/2)x2^(15/2) + (6q^(29/2) + 4q^(27/2) + 6q^(25/2) + 6q^(23/2) + 6q^(21/2) + 2q^(19/2) + 2q^(17/2))x1^(11/2)x2^(15/2) + (-7q^(-1/2) + 10q^(-3/2) + q^(-5/2) - 5q^(-7/2) + 3q^(-9/2) + q^(-13/2) - q^(-15/2))x1^(1/2)x2^(17/2) + (2q^(11/2) + 4q^(9/2) + 4q^(7/2) - 6q^(3/2) - 10q^(1/2) - 19q^(-1/2) + 10q^(-3/2) + 14q^(-5/2) + q^(-9/2) + q^(-13/2))x1^(3/2)x2^(17/2) + (-2q^(21/2) - 2q^(19/2) - 6q^(17/2) - 4q^(15/2) - 13q^(13/2) - 11q^(11/2) - 7q^(9/2) + 25q^(7/2) + 36q^(5/2) + 42q^(3/2) + 5q^(1/2) - 23q^(-1/2) - 13q^(-3/2) - 5q^(-5/2) - q^(-7/2) - q^(-9/2))x1^(5/2)x2^(17/2) + (2q^(29/2) + 2q^(27/2) + 4q^(25/2) + 10q^(23/2) + 12q^(21/2) + 22q^(19/2) + 32q^(17/2) + 28q^(15/2) + q^(13/2) - 28q^(11/2) - 69q^(9/2) - 51q^(7/2) - 21q^(5/2) + 7q^(3/2) + 12q^(1/2) + 4q^(-1/2) + 2q^(-3/2))x1^(7/2)x2^(17/2) + (-2q^(35/2) - 2q^(33/2) - 6q^(31/2) - 8q^(29/2) - 21q^(27/2) - 29q^(25/2) - 43q^(23/2) - 44q^(21/2) - 38q^(19/2) + 6q^(17/2) + 25q^(15/2) + 40q^(13/2) + 35q^(11/2) + 15q^(9/2) + 3q^(7/2) - 2q^(5/2) - q^(3/2))x1^(9/2)x2^(17/2) + (2q^(39/2) + 4q^(37/2) + 8q^(35/2) + 14q^(33/2) + 24q^(31/2) + 38q^(29/2) + 31q^(27/2) + 28q^(25/2) + 18q^(23/2) + 5q^(21/2) - 8q^(19/2) - 7q^(17/2) - 8q^(15/2) - 4q^(13/2) - q^(11/2))x1^(11/2)x2^(17/2) + (-7q^(41/2) - 5q^(39/2) - 8q^(37/2) - 9q^(35/2) - 11q^(33/2) - 9q^(31/2) - 7q^(29/2) - 4q^(27/2) - 3q^(25/2) - q^(23/2))x1^(13/2)x2^(17/2) + (-8q^(-1/2) + 12q^(-3/2) + q^(-5/2) - 7q^(-7/2) + 5q^(-9/2) + 2q^(-11/2) + 4q^(-13/2) - 4q^(-15/2))x1^(1/2)x2^(19/2) + (2q^(13/2) + 4q^(11/2) + 4q^(9/2) - 6q^(5/2) - 10q^(3/2) - 10q^(1/2) - 14q^(-1/2) + 21q^(-3/2) + 18q^(-5/2) - 8q^(-7/2) - 6q^(-9/2) - 4q^(-11/2) + 4q^(-13/2))x1^(3/2)x2^(19/2) + (-2q^(25/2) - 2q^(23/2) - 6q^(21/2) - 4q^(19/2) - 8q^(17/2) - 6q^(15/2) - 16q^(13/2) + 4q^(11/2) + 24q^(9/2) + 58q^(7/2) + 47q^(5/2) + 22q^(3/2) - 33q^(1/2) - 59q^(-1/2) - 21q^(-3/2) - 3q^(-5/2) + 4q^(-7/2) - q^(-9/2) - q^(-11/2))x1^(5/2)x2^(19/2) + (2q^(35/2) + 2q^(33/2) + 4q^(31/2) + 8q^(29/2) + 10q^(27/2) + 14q^(25/2) + 26q^(23/2) + 26q^(21/2) + 36q^(19/2) + 22q^(17/2) - 22q^(15/2) - 88q^(13/2) - 115q^(11/2) - 116q^(9/2) - 37q^(7/2) + 33q^(5/2) + 59q^(3/2) + 46q^(1/2) + 14q^(-1/2) + 6q^(-3/2) + q^(-7/2))x1^(7/2)x2^(19/2) + (-2q^(43/2) - 2q^(41/2) - 4q^(39/2) - 8q^(37/2) - 14q^(35/2) - 18q^(33/2) - 34q^(31/2) - 44q^(29/2) - 72q^(27/2) - 72q^(25/2) - 60q^(23/2) - 6q^(21/2) + 54q^(19/2) + 136q^(17/2) + 139q^(15/2) + 105q^(13/2) + 49q^(11/2) - 10q^(9/2) - 26q^(7/2) - 24q^(5/2) - 11q^(3/2) - 3q^(1/2) - q^(-1/2))x1^(9/2)x2^(19/2) + (2q^(49/2) + 2q^(47/2) + 6q^(45/2) + 8q^(43/2) + 16q^(41/2) + 28q^(39/2) + 48q^(37/2) + 64q^(35/2) + 88q^(33/2) + 94q^(31/2) + 88q^(29/2) + 30q^(27/2) - 7q^(25/2) - 52q^(23/2) - 76q^(21/2) - 77q^(19/2) - 48q^(17/2) - 25q^(15/2) - 6q^(13/2) + 4q^(11/2) + 3q^(9/2) + 2q^(7/2))x1^(11/2)x2^(19/2) + (-2q^(53/2) - 4q^(51/2) - 8q^(49/2) - 14q^(47/2) - 24q^(45/2) - 38q^(43/2) - 60q^(41/2) - 56q^(39/2) - 60q^(37/2) - 52q^(35/2) - 40q^(33/2) - 16q^(31/2) + 10q^(27/2) + 14q^(25/2) + 14q^(23/2) + 10q^(21/2) + 4q^(19/2) + 2q^(17/2))x1^(13/2)x2^(19/2) + (8q^(55/2) + 6q^(53/2) + 10q^(51/2) + 12q^(49/2) + 16q^(47/2) + 16q^(45/2) + 18q^(43/2) + 12q^(41/2) + 12q^(39/2) + 8q^(37/2) + 6q^(35/2) + 2q^(33/2) + 2q^(31/2))x1^(15/2)*x2^(19/2)
`(-1/2, -5/2)`	`(1, 1)`	`x1^(1/2)x2^(5/2)`	`q^(-1/2)`	`{"0": [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], "1": [1, -1, 1, -1]}`	(-q^(-1/2))x1^(1/2)x2^(5/2) + (-2q^(-1/2))x1^(1/2)x2^(7/2) + (2q^(1/2))x1^(3/2)x2^(7/2) + (-3q^(-1/2) + 2q^(-3/2))x1^(1/2)x2^(9/2) + (2q^(3/2) + 4q^(1/2) - q^(-1/2))x1^(3/2)x2^(9/2) + (-3q^(5/2) - q^(3/2))x1^(5/2)x2^(9/2) + (-4q^(-1/2) + 4q^(-3/2) + q^(-5/2))x1^(1/2)x2^(11/2) + (2q^(5/2) + 4q^(3/2) + 4q^(1/2) - 6q^(-1/2) - q^(-3/2))x1^(3/2)x2^(11/2) + (-2q^(9/2) - 4q^(7/2) - 8q^(5/2) + 2q^(1/2))x1^(5/2)x2^(11/2) + (4q^(11/2) + 2q^(9/2) + 2q^(7/2))x1^(7/2)x2^(11/2) + (-5q^(-1/2) + 6q^(-3/2) + q^(-5/2) - q^(-7/2))x1^(1/2)x2^(13/2) + (2q^(7/2) + 4q^(5/2) + 4q^(3/2) - 13q^(-1/2) - 2q^(-3/2) + q^(-5/2))x1^(3/2)x2^(13/2) + (-2q^(13/2) - 2q^(11/2) - 9q^(9/2) - 9q^(7/2) - 7q^(5/2) + 11q^(3/2) + 8q^(1/2) + q^(-1/2))x1^(5/2)x2^(13/2) + (2q^(17/2) + 4q^(15/2) + 8q^(13/2) + 14q^(11/2) + 5q^(9/2) - 4q^(5/2) - q^(3/2))x1^(7/2)x2^(13/2) + (-5q^(19/2) - 3q^(17/2) - 4q^(15/2) - 3q^(13/2) - q^(11/2))x1^(9/2)x2^(13/2) + (-6q^(-1/2) + 8q^(-3/2) + q^(-5/2) - 3q^(-7/2) + q^(-9/2) - q^(-11/2))x1^(1/2)x2^(15/2) + (2q^(9/2) + 4q^(7/2) + 4q^(5/2) - 6q^(1/2) - 18q^(-1/2) + q^(-3/2) + 6q^(-5/2) + q^(-7/2) + q^(-9/2))x1^(3/2)x2^(15/2) + (-2q^(17/2) - 2q^(15/2) - 6q^(13/2) - 8q^(11/2) - 16q^(9/2) - 2q^(7/2) + 10q^(5/2) + 30q^(3/2) + 15q^(1/2) - 3q^(-1/2) - 3q^(-3/2) - q^(-5/2))x1^(5/2)x2^(15/2) + (2q^(23/2) + 2q^(21/2) + 6q^(19/2) + 12q^(17/2) + 20q^(15/2) + 20q^(13/2) + 16q^(11/2) - 14q^(9/2) - 19q^(7/2) - 16q^(5/2) - 4q^(3/2) + q^(1/2))x1^(7/2)x2^(15/2) + (-2q^(27/2) - 4q^(25/2) - 8q^(23/2) - 14q^(21/2) - 24q^(19/2) - 14q^(17/2) - 10q^(15/2) + 6q^(11/2) + 4q^(9/2) + 2q^(7/2))x1^(9/2)x2^(15/2) + (6q^(29/2) + 4q^(27/2) + 6q^(25/2) + 6q^(23/2) + 6q^(21/2) + 2q^(19/2) + 2q^(17/2))x1^(11/2)x2^(15/2) + (-7q^(-1/2) + 10q^(-3/2) + q^(-5/2) - 5q^(-7/2) + 3q^(-9/2) + q^(-13/2) - q^(-15/2))x1^(1/2)x2^(17/2) + (2q^(11/2) + 4q^(9/2) + 4q^(7/2) - 6q^(3/2) - 10q^(1/2) - 19q^(-1/2) + 10q^(-3/2) + 14q^(-5/2) + q^(-9/2) + q^(-13/2))x1^(3/2)x2^(17/2) + (-2q^(21/2) - 2q^(19/2) - 6q^(17/2) - 4q^(15/2) - 13q^(13/2) - 11q^(11/2) - 7q^(9/2) + 25q^(7/2) + 36q^(5/2) + 42q^(3/2) + 5q^(1/2) - 23q^(-1/2) - 13q^(-3/2) - 5q^(-5/2) - q^(-7/2) - q^(-9/2))x1^(5/2)x2^(17/2) + (2q^(29/2) + 2q^(27/2) + 4q^(25/2) + 10q^(23/2) + 12q^(21/2) + 22q^(19/2) + 32q^(17/2) + 28q^(15/2) + q^(13/2) - 28q^(11/2) - 69q^(9/2) - 51q^(7/2) - 21q^(5/2) + 7q^(3/2) + 12q^(1/2) + 4q^(-1/2) + 2q^(-3/2))x1^(7/2)x2^(17/2) + (-2q^(35/2) - 2q^(33/2) - 6q^(31/2) - 8q^(29/2) - 21q^(27/2) - 29q^(25/2) - 43q^(23/2) - 44q^(21/2) - 38q^(19/2) + 6q^(17/2) + 25q^(15/2) + 40q^(13/2) + 35q^(11/2) + 15q^(9/2) + 3q^(7/2) - 2q^(5/2) - q^(3/2))x1^(9/2)x2^(17/2) + (2q^(39/2) + 4q^(37/2) + 8q^(35/2) + 14q^(33/2) + 24q^(31/2) + 38q^(29/2) + 31q^(27/2) + 28q^(25/2) + 18q^(23/2) + 5q^(21/2) - 8q^(19/2) - 7q^(17/2) - 8q^(15/2) - 4q^(13/2) - q^(11/2))x1^(11/2)x2^(17/2) + (-7q^(41/2) - 5q^(39/2) - 8q^(37/2) - 9q^(35/2) - 11q^(33/2) - 9q^(31/2) - 7q^(29/2) - 4q^(27/2) - 3q^(25/2) - q^(23/2))x1^(13/2)x2^(17/2) + (-8q^(-1/2) + 12q^(-3/2) + q^(-5/2) - 7q^(-7/2) + 5q^(-9/2) + 2q^(-11/2) + 4q^(-13/2) - 4q^(-15/2))x1^(1/2)x2^(19/2) + (2q^(13/2) + 4q^(11/2) + 4q^(9/2) - 6q^(5/2) - 10q^(3/2) - 10q^(1/2) - 14q^(-1/2) + 21q^(-3/2) + 18q^(-5/2) - 8q^(-7/2) - 6q^(-9/2) - 4q^(-11/2) + 4q^(-13/2))x1^(3/2)x2^(19/2) + (-2q^(25/2) - 2q^(23/2) - 6q^(21/2) - 4q^(19/2) - 8q^(17/2) - 6q^(15/2) - 16q^(13/2) + 4q^(11/2) + 24q^(9/2) + 58q^(7/2) + 47q^(5/2) + 22q^(3/2) - 33q^(1/2) - 59q^(-1/2) - 21q^(-3/2) - 3q^(-5/2) + 4q^(-7/2) - q^(-9/2) - q^(-11/2))x1^(5/2)x2^(19/2) + (2q^(35/2) + 2q^(33/2) + 4q^(31/2) + 8q^(29/2) + 10q^(27/2) + 14q^(25/2) + 26q^(23/2) + 26q^(21/2) + 36q^(19/2) + 22q^(17/2) - 22q^(15/2) - 88q^(13/2) - 115q^(11/2) - 116q^(9/2) - 37q^(7/2) + 33q^(5/2) + 59q^(3/2) + 46q^(1/2) + 14q^(-1/2) + 6q^(-3/2) + q^(-7/2))x1^(7/2)x2^(19/2) + (-2q^(43/2) - 2q^(41/2) - 4q^(39/2) - 8q^(37/2) - 14q^(35/2) - 18q^(33/2) - 34q^(31/2) - 44q^(29/2) - 72q^(27/2) - 72q^(25/2) - 60q^(23/2) - 6q^(21/2) + 54q^(19/2) + 136q^(17/2) + 139q^(15/2) + 105q^(13/2) + 49q^(11/2) - 10q^(9/2) - 26q^(7/2) - 24q^(5/2) - 11q^(3/2) - 3q^(1/2) - q^(-1/2))x1^(9/2)x2^(19/2) + (2q^(49/2) + 2q^(47/2) + 6q^(45/2) + 8q^(43/2) + 16q^(41/2) + 28q^(39/2) + 48q^(37/2) + 64q^(35/2) + 88q^(33/2) + 94q^(31/2) + 88q^(29/2) + 30q^(27/2) - 7q^(25/2) - 52q^(23/2) - 76q^(21/2) - 77q^(19/2) - 48q^(17/2) - 25q^(15/2) - 6q^(13/2) + 4q^(11/2) + 3q^(9/2) + 2q^(7/2))x1^(11/2)x2^(19/2) + (-2q^(53/2) - 4q^(51/2) - 8q^(49/2) - 14q^(47/2) - 24q^(45/2) - 38q^(43/2) - 60q^(41/2) - 56q^(39/2) - 60q^(37/2) - 52q^(35/2) - 40q^(33/2) - 16q^(31/2) + 10q^(27/2) + 14q^(25/2) + 14q^(23/2) + 10q^(21/2) + 4q^(19/2) + 2q^(17/2))x1^(13/2)x2^(19/2) + (8q^(55/2) + 6q^(53/2) + 10q^(51/2) + 12q^(49/2) + 16q^(47/2) + 16q^(45/2) + 18q^(43/2) + 12q^(41/2) + 12q^(39/2) + 8q^(37/2) + 6q^(35/2) + 2q^(33/2) + 2q^(31/2))x1^(15/2)*x2^(19/2)
`(1/2, 5/2)`		`x1^(-1/2)x2^(-5/2)`	`q^(-1/2)`		(-q^(-1/2))x1^(-1/2)x2^(-5/2) + (-2q^(-1/2))x1^(-1/2)x2^(-7/2) + (2q^(1/2))x1^(-3/2)x2^(-7/2) + (-3q^(-1/2) + 2q^(-3/2))x1^(-1/2)x2^(-9/2) + (2q^(3/2) + 4q^(1/2) - q^(-1/2))x1^(-3/2)x2^(-9/2) + (-3q^(5/2) - q^(3/2))x1^(-5/2)x2^(-9/2) + (-4q^(-1/2) + 4q^(-3/2) + q^(-5/2))x1^(-1/2)x2^(-11/2) + (2q^(5/2) + 4q^(3/2) + 4q^(1/2) - 6q^(-1/2) - q^(-3/2))x1^(-3/2)x2^(-11/2) + (-2q^(9/2) - 4q^(7/2) - 8q^(5/2) + 2q^(1/2))x1^(-5/2)x2^(-11/2) + (4q^(11/2) + 2q^(9/2) + 2q^(7/2))x1^(-7/2)x2^(-11/2) + (-5q^(-1/2) + 6q^(-3/2) + q^(-5/2) - q^(-7/2))x1^(-1/2)x2^(-13/2) + (2q^(7/2) + 4q^(5/2) + 4q^(3/2) - 13q^(-1/2) - 2q^(-3/2) + q^(-5/2))x1^(-3/2)x2^(-13/2) + (-2q^(13/2) - 2q^(11/2) - 9q^(9/2) - 9q^(7/2) - 7q^(5/2) + 11q^(3/2) + 8q^(1/2) + q^(-1/2))x1^(-5/2)x2^(-13/2) + (2q^(17/2) + 4q^(15/2) + 8q^(13/2) + 14q^(11/2) + 5q^(9/2) - 4q^(5/2) - q^(3/2))x1^(-7/2)x2^(-13/2) + (-5q^(19/2) - 3q^(17/2) - 4q^(15/2) - 3q^(13/2) - q^(11/2))x1^(-9/2)x2^(-13/2) + (-6q^(-1/2) + 8q^(-3/2) + q^(-5/2) - 3q^(-7/2) + q^(-9/2) - q^(-11/2))x1^(-1/2)x2^(-15/2) + (2q^(9/2) + 4q^(7/2) + 4q^(5/2) - 6q^(1/2) - 18q^(-1/2) + q^(-3/2) + 6q^(-5/2) + q^(-7/2) + q^(-9/2))x1^(-3/2)x2^(-15/2) + (-2q^(17/2) - 2q^(15/2) - 6q^(13/2) - 8q^(11/2) - 16q^(9/2) - 2q^(7/2) + 10q^(5/2) + 30q^(3/2) + 15q^(1/2) - 3q^(-1/2) - 3q^(-3/2) - q^(-5/2))x1^(-5/2)x2^(-15/2) + (2q^(23/2) + 2q^(21/2) + 6q^(19/2) + 12q^(17/2) + 20q^(15/2) + 20q^(13/2) + 16q^(11/2) - 14q^(9/2) - 19q^(7/2) - 16q^(5/2) - 4q^(3/2) + q^(1/2))x1^(-7/2)x2^(-15/2) + (-2q^(27/2) - 4q^(25/2) - 8q^(23/2) - 14q^(21/2) - 24q^(19/2) - 14q^(17/2) - 10q^(15/2) + 6q^(11/2) + 4q^(9/2) + 2q^(7/2))x1^(-9/2)x2^(-15/2) + (6q^(29/2) + 4q^(27/2) + 6q^(25/2) + 6q^(23/2) + 6q^(21/2) + 2q^(19/2) + 2q^(17/2))x1^(-11/2)x2^(-15/2) + (-7q^(-1/2) + 10q^(-3/2) + q^(-5/2) - 5q^(-7/2) + 3q^(-9/2) + q^(-13/2) - q^(-15/2))x1^(-1/2)x2^(-17/2) + (2q^(11/2) + 4q^(9/2) + 4q^(7/2) - 6q^(3/2) - 10q^(1/2) - 19q^(-1/2) + 10q^(-3/2) + 14q^(-5/2) + q^(-9/2) + q^(-13/2))x1^(-3/2)x2^(-17/2) + (-2q^(21/2) - 2q^(19/2) - 6q^(17/2) - 4q^(15/2) - 13q^(13/2) - 11q^(11/2) - 7q^(9/2) + 25q^(7/2) + 36q^(5/2) + 42q^(3/2) + 5q^(1/2) - 23q^(-1/2) - 13q^(-3/2) - 5q^(-5/2) - q^(-7/2) - q^(-9/2))x1^(-5/2)x2^(-17/2) + (2q^(29/2) + 2q^(27/2) + 4q^(25/2) + 10q^(23/2) + 12q^(21/2) + 22q^(19/2) + 32q^(17/2) + 28q^(15/2) + q^(13/2) - 28q^(11/2) - 69q^(9/2) - 51q^(7/2) - 21q^(5/2) + 7q^(3/2) + 12q^(1/2) + 4q^(-1/2) + 2q^(-3/2))x1^(-7/2)x2^(-17/2) + (-2q^(35/2) - 2q^(33/2) - 6q^(31/2) - 8q^(29/2) - 21q^(27/2) - 29q^(25/2) - 43q^(23/2) - 44q^(21/2) - 38q^(19/2) + 6q^(17/2) + 25q^(15/2) + 40q^(13/2) + 35q^(11/2) + 15q^(9/2) + 3q^(7/2) - 2q^(5/2) - q^(3/2))x1^(-9/2)x2^(-17/2) + (2q^(39/2) + 4q^(37/2) + 8q^(35/2) + 14q^(33/2) + 24q^(31/2) + 38q^(29/2) + 31q^(27/2) + 28q^(25/2) + 18q^(23/2) + 5q^(21/2) - 8q^(19/2) - 7q^(17/2) - 8q^(15/2) - 4q^(13/2) - q^(11/2))x1^(-11/2)x2^(-17/2) + (-7q^(41/2) - 5q^(39/2) - 8q^(37/2) - 9q^(35/2) - 11q^(33/2) - 9q^(31/2) - 7q^(29/2) - 4q^(27/2) - 3q^(25/2) - q^(23/2))x1^(-13/2)x2^(-17/2) + (-8q^(-1/2) + 12q^(-3/2) + q^(-5/2) - 7q^(-7/2) + 5q^(-9/2) + 2q^(-11/2) + 4q^(-13/2) - 4q^(-15/2))x1^(-1/2)x2^(-19/2) + (2q^(13/2) + 4q^(11/2) + 4q^(9/2) - 6q^(5/2) - 10q^(3/2) - 10q^(1/2) - 14q^(-1/2) + 21q^(-3/2) + 18q^(-5/2) - 8q^(-7/2) - 6q^(-9/2) - 4q^(-11/2) + 4q^(-13/2))x1^(-3/2)x2^(-19/2) + (-2q^(25/2) - 2q^(23/2) - 6q^(21/2) - 4q^(19/2) - 8q^(17/2) - 6q^(15/2) - 16q^(13/2) + 4q^(11/2) + 24q^(9/2) + 58q^(7/2) + 47q^(5/2) + 22q^(3/2) - 33q^(1/2) - 59q^(-1/2) - 21q^(-3/2) - 3q^(-5/2) + 4q^(-7/2) - q^(-9/2) - q^(-11/2))x1^(-5/2)x2^(-19/2) + (2q^(35/2) + 2q^(33/2) + 4q^(31/2) + 8q^(29/2) + 10q^(27/2) + 14q^(25/2) + 26q^(23/2) + 26q^(21/2) + 36q^(19/2) + 22q^(17/2) - 22q^(15/2) - 88q^(13/2) - 115q^(11/2) - 116q^(9/2) - 37q^(7/2) + 33q^(5/2) + 59q^(3/2) + 46q^(1/2) + 14q^(-1/2) + 6q^(-3/2) + q^(-7/2))x1^(-7/2)x2^(-19/2) + (-2q^(43/2) - 2q^(41/2) - 4q^(39/2) - 8q^(37/2) - 14q^(35/2) - 18q^(33/2) - 34q^(31/2) - 44q^(29/2) - 72q^(27/2) - 72q^(25/2) - 60q^(23/2) - 6q^(21/2) + 54q^(19/2) + 136q^(17/2) + 139q^(15/2) + 105q^(13/2) + 49q^(11/2) - 10q^(9/2) - 26q^(7/2) - 24q^(5/2) - 11q^(3/2) - 3q^(1/2) - q^(-1/2))x1^(-9/2)x2^(-19/2) + (2q^(49/2) + 2q^(47/2) + 6q^(45/2) + 8q^(43/2) + 16q^(41/2) + 28q^(39/2) + 48q^(37/2) + 64q^(35/2) + 88q^(33/2) + 94q^(31/2) + 88q^(29/2) + 30q^(27/2) - 7q^(25/2) - 52q^(23/2) - 76q^(21/2) - 77q^(19/2) - 48q^(17/2) - 25q^(15/2) - 6q^(13/2) + 4q^(11/2) + 3q^(9/2) + 2q^(7/2))x1^(-11/2)x2^(-19/2) + (-2q^(53/2) - 4q^(51/2) - 8q^(49/2) - 14q^(47/2) - 24q^(45/2) - 38q^(43/2) - 60q^(41/2) - 56q^(39/2) - 60q^(37/2) - 52q^(35/2) - 40q^(33/2) - 16q^(31/2) + 10q^(27/2) + 14q^(25/2) + 14q^(23/2) + 10q^(21/2) + 4q^(19/2) + 2q^(17/2))x1^(-13/2)x2^(-19/2) + (8q^(55/2) + 6q^(53/2) + 10q^(51/2) + 12q^(49/2) + 16q^(47/2) + 16q^(45/2) + 18q^(43/2) + 12q^(41/2) + 12q^(39/2) + 8q^(37/2) + 6q^(35/2) + 2q^(33/2) + 2q^(31/2))x1^(-15/2)*x2^(-19/2)

(-1/2, -5/2)

(1, 1)

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

q^(-1/2)

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

(-q^(-1/2))*x1^(1/2)*x2^(5/2) + (-2*q^(-1/2))*x1^(1/2)*x2^(7/2) + (2*q^(1/2))*x1^(3/2)*x2^(7/2) + (-3*q^(-1/2) + 2*q^(-3/2))*x1^(1/2)*x2^(9/2) + (2*q^(3/2) + 4*q^(1/2) - q^(-1/2))*x1^(3/2)*x2^(9/2) + (-3*q^(5/2) - q^(3/2))*x1^(5/2)*x2^(9/2) + (-4*q^(-1/2) + 4*q^(-3/2) + q^(-5/2))*x1^(1/2)*x2^(11/2) + (2*q^(5/2) + 4*q^(3/2) + 4*q^(1/2) - 6*q^(-1/2) - q^(-3/2))*x1^(3/2)*x2^(11/2) + (-2*q^(9/2) - 4*q^(7/2) - 8*q^(5/2) + 2*q^(1/2))*x1^(5/2)*x2^(11/2) + (4*q^(11/2) + 2*q^(9/2) + 2*q^(7/2))*x1^(7/2)*x2^(11/2) + (-5*q^(-1/2) + 6*q^(-3/2) + q^(-5/2) - q^(-7/2))*x1^(1/2)*x2^(13/2) + (2*q^(7/2) + 4*q^(5/2) + 4*q^(3/2) - 13*q^(-1/2) - 2*q^(-3/2) + q^(-5/2))*x1^(3/2)*x2^(13/2) + (-2*q^(13/2) - 2*q^(11/2) - 9*q^(9/2) - 9*q^(7/2) - 7*q^(5/2) + 11*q^(3/2) + 8*q^(1/2) + q^(-1/2))*x1^(5/2)*x2^(13/2) + (2*q^(17/2) + 4*q^(15/2) + 8*q^(13/2) + 14*q^(11/2) + 5*q^(9/2) - 4*q^(5/2) - q^(3/2))*x1^(7/2)*x2^(13/2) + (-5*q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 3*q^(13/2) - q^(11/2))*x1^(9/2)*x2^(13/2) + (-6*q^(-1/2) + 8*q^(-3/2) + q^(-5/2) - 3*q^(-7/2) + q^(-9/2) - q^(-11/2))*x1^(1/2)*x2^(15/2) + (2*q^(9/2) + 4*q^(7/2) + 4*q^(5/2) - 6*q^(1/2) - 18*q^(-1/2) + q^(-3/2) + 6*q^(-5/2) + q^(-7/2) + q^(-9/2))*x1^(3/2)*x2^(15/2) + (-2*q^(17/2) - 2*q^(15/2) - 6*q^(13/2) - 8*q^(11/2) - 16*q^(9/2) - 2*q^(7/2) + 10*q^(5/2) + 30*q^(3/2) + 15*q^(1/2) - 3*q^(-1/2) - 3*q^(-3/2) - q^(-5/2))*x1^(5/2)*x2^(15/2) + (2*q^(23/2) + 2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 20*q^(15/2) + 20*q^(13/2) + 16*q^(11/2) - 14*q^(9/2) - 19*q^(7/2) - 16*q^(5/2) - 4*q^(3/2) + q^(1/2))*x1^(7/2)*x2^(15/2) + (-2*q^(27/2) - 4*q^(25/2) - 8*q^(23/2) - 14*q^(21/2) - 24*q^(19/2) - 14*q^(17/2) - 10*q^(15/2) + 6*q^(11/2) + 4*q^(9/2) + 2*q^(7/2))*x1^(9/2)*x2^(15/2) + (6*q^(29/2) + 4*q^(27/2) + 6*q^(25/2) + 6*q^(23/2) + 6*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(11/2)*x2^(15/2) + (-7*q^(-1/2) + 10*q^(-3/2) + q^(-5/2) - 5*q^(-7/2) + 3*q^(-9/2) + q^(-13/2) - q^(-15/2))*x1^(1/2)*x2^(17/2) + (2*q^(11/2) + 4*q^(9/2) + 4*q^(7/2) - 6*q^(3/2) - 10*q^(1/2) - 19*q^(-1/2) + 10*q^(-3/2) + 14*q^(-5/2) + q^(-9/2) + q^(-13/2))*x1^(3/2)*x2^(17/2) + (-2*q^(21/2) - 2*q^(19/2) - 6*q^(17/2) - 4*q^(15/2) - 13*q^(13/2) - 11*q^(11/2) - 7*q^(9/2) + 25*q^(7/2) + 36*q^(5/2) + 42*q^(3/2) + 5*q^(1/2) - 23*q^(-1/2) - 13*q^(-3/2) - 5*q^(-5/2) - q^(-7/2) - q^(-9/2))*x1^(5/2)*x2^(17/2) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 10*q^(23/2) + 12*q^(21/2) + 22*q^(19/2) + 32*q^(17/2) + 28*q^(15/2) + q^(13/2) - 28*q^(11/2) - 69*q^(9/2) - 51*q^(7/2) - 21*q^(5/2) + 7*q^(3/2) + 12*q^(1/2) + 4*q^(-1/2) + 2*q^(-3/2))*x1^(7/2)*x2^(17/2) + (-2*q^(35/2) - 2*q^(33/2) - 6*q^(31/2) - 8*q^(29/2) - 21*q^(27/2) - 29*q^(25/2) - 43*q^(23/2) - 44*q^(21/2) - 38*q^(19/2) + 6*q^(17/2) + 25*q^(15/2) + 40*q^(13/2) + 35*q^(11/2) + 15*q^(9/2) + 3*q^(7/2) - 2*q^(5/2) - q^(3/2))*x1^(9/2)*x2^(17/2) + (2*q^(39/2) + 4*q^(37/2) + 8*q^(35/2) + 14*q^(33/2) + 24*q^(31/2) + 38*q^(29/2) + 31*q^(27/2) + 28*q^(25/2) + 18*q^(23/2) + 5*q^(21/2) - 8*q^(19/2) - 7*q^(17/2) - 8*q^(15/2) - 4*q^(13/2) - q^(11/2))*x1^(11/2)*x2^(17/2) + (-7*q^(41/2) - 5*q^(39/2) - 8*q^(37/2) - 9*q^(35/2) - 11*q^(33/2) - 9*q^(31/2) - 7*q^(29/2) - 4*q^(27/2) - 3*q^(25/2) - q^(23/2))*x1^(13/2)*x2^(17/2) + (-8*q^(-1/2) + 12*q^(-3/2) + q^(-5/2) - 7*q^(-7/2) + 5*q^(-9/2) + 2*q^(-11/2) + 4*q^(-13/2) - 4*q^(-15/2))*x1^(1/2)*x2^(19/2) + (2*q^(13/2) + 4*q^(11/2) + 4*q^(9/2) - 6*q^(5/2) - 10*q^(3/2) - 10*q^(1/2) - 14*q^(-1/2) + 21*q^(-3/2) + 18*q^(-5/2) - 8*q^(-7/2) - 6*q^(-9/2) - 4*q^(-11/2) + 4*q^(-13/2))*x1^(3/2)*x2^(19/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 4*q^(19/2) - 8*q^(17/2) - 6*q^(15/2) - 16*q^(13/2) + 4*q^(11/2) + 24*q^(9/2) + 58*q^(7/2) + 47*q^(5/2) + 22*q^(3/2) - 33*q^(1/2) - 59*q^(-1/2) - 21*q^(-3/2) - 3*q^(-5/2) + 4*q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(5/2)*x2^(19/2) + (2*q^(35/2) + 2*q^(33/2) + 4*q^(31/2) + 8*q^(29/2) + 10*q^(27/2) + 14*q^(25/2) + 26*q^(23/2) + 26*q^(21/2) + 36*q^(19/2) + 22*q^(17/2) - 22*q^(15/2) - 88*q^(13/2) - 115*q^(11/2) - 116*q^(9/2) - 37*q^(7/2) + 33*q^(5/2) + 59*q^(3/2) + 46*q^(1/2) + 14*q^(-1/2) + 6*q^(-3/2) + q^(-7/2))*x1^(7/2)*x2^(19/2) + (-2*q^(43/2) - 2*q^(41/2) - 4*q^(39/2) - 8*q^(37/2) - 14*q^(35/2) - 18*q^(33/2) - 34*q^(31/2) - 44*q^(29/2) - 72*q^(27/2) - 72*q^(25/2) - 60*q^(23/2) - 6*q^(21/2) + 54*q^(19/2) + 136*q^(17/2) + 139*q^(15/2) + 105*q^(13/2) + 49*q^(11/2) - 10*q^(9/2) - 26*q^(7/2) - 24*q^(5/2) - 11*q^(3/2) - 3*q^(1/2) - q^(-1/2))*x1^(9/2)*x2^(19/2) + (2*q^(49/2) + 2*q^(47/2) + 6*q^(45/2) + 8*q^(43/2) + 16*q^(41/2) + 28*q^(39/2) + 48*q^(37/2) + 64*q^(35/2) + 88*q^(33/2) + 94*q^(31/2) + 88*q^(29/2) + 30*q^(27/2) - 7*q^(25/2) - 52*q^(23/2) - 76*q^(21/2) - 77*q^(19/2) - 48*q^(17/2) - 25*q^(15/2) - 6*q^(13/2) + 4*q^(11/2) + 3*q^(9/2) + 2*q^(7/2))*x1^(11/2)*x2^(19/2) + (-2*q^(53/2) - 4*q^(51/2) - 8*q^(49/2) - 14*q^(47/2) - 24*q^(45/2) - 38*q^(43/2) - 60*q^(41/2) - 56*q^(39/2) - 60*q^(37/2) - 52*q^(35/2) - 40*q^(33/2) - 16*q^(31/2) + 10*q^(27/2) + 14*q^(25/2) + 14*q^(23/2) + 10*q^(21/2) + 4*q^(19/2) + 2*q^(17/2))*x1^(13/2)*x2^(19/2) + (8*q^(55/2) + 6*q^(53/2) + 10*q^(51/2) + 12*q^(49/2) + 16*q^(47/2) + 16*q^(45/2) + 18*q^(43/2) + 12*q^(41/2) + 12*q^(39/2) + 8*q^(37/2) + 6*q^(35/2) + 2*q^(33/2) + 2*q^(31/2))*x1^(15/2)*x2^(19/2)

(-1/2, -5/2)

(1, 1)

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

q^(-1/2)

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

(-q^(-1/2))*x1^(1/2)*x2^(5/2) + (-2*q^(-1/2))*x1^(1/2)*x2^(7/2) + (2*q^(1/2))*x1^(3/2)*x2^(7/2) + (-3*q^(-1/2) + 2*q^(-3/2))*x1^(1/2)*x2^(9/2) + (2*q^(3/2) + 4*q^(1/2) - q^(-1/2))*x1^(3/2)*x2^(9/2) + (-3*q^(5/2) - q^(3/2))*x1^(5/2)*x2^(9/2) + (-4*q^(-1/2) + 4*q^(-3/2) + q^(-5/2))*x1^(1/2)*x2^(11/2) + (2*q^(5/2) + 4*q^(3/2) + 4*q^(1/2) - 6*q^(-1/2) - q^(-3/2))*x1^(3/2)*x2^(11/2) + (-2*q^(9/2) - 4*q^(7/2) - 8*q^(5/2) + 2*q^(1/2))*x1^(5/2)*x2^(11/2) + (4*q^(11/2) + 2*q^(9/2) + 2*q^(7/2))*x1^(7/2)*x2^(11/2) + (-5*q^(-1/2) + 6*q^(-3/2) + q^(-5/2) - q^(-7/2))*x1^(1/2)*x2^(13/2) + (2*q^(7/2) + 4*q^(5/2) + 4*q^(3/2) - 13*q^(-1/2) - 2*q^(-3/2) + q^(-5/2))*x1^(3/2)*x2^(13/2) + (-2*q^(13/2) - 2*q^(11/2) - 9*q^(9/2) - 9*q^(7/2) - 7*q^(5/2) + 11*q^(3/2) + 8*q^(1/2) + q^(-1/2))*x1^(5/2)*x2^(13/2) + (2*q^(17/2) + 4*q^(15/2) + 8*q^(13/2) + 14*q^(11/2) + 5*q^(9/2) - 4*q^(5/2) - q^(3/2))*x1^(7/2)*x2^(13/2) + (-5*q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 3*q^(13/2) - q^(11/2))*x1^(9/2)*x2^(13/2) + (-6*q^(-1/2) + 8*q^(-3/2) + q^(-5/2) - 3*q^(-7/2) + q^(-9/2) - q^(-11/2))*x1^(1/2)*x2^(15/2) + (2*q^(9/2) + 4*q^(7/2) + 4*q^(5/2) - 6*q^(1/2) - 18*q^(-1/2) + q^(-3/2) + 6*q^(-5/2) + q^(-7/2) + q^(-9/2))*x1^(3/2)*x2^(15/2) + (-2*q^(17/2) - 2*q^(15/2) - 6*q^(13/2) - 8*q^(11/2) - 16*q^(9/2) - 2*q^(7/2) + 10*q^(5/2) + 30*q^(3/2) + 15*q^(1/2) - 3*q^(-1/2) - 3*q^(-3/2) - q^(-5/2))*x1^(5/2)*x2^(15/2) + (2*q^(23/2) + 2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 20*q^(15/2) + 20*q^(13/2) + 16*q^(11/2) - 14*q^(9/2) - 19*q^(7/2) - 16*q^(5/2) - 4*q^(3/2) + q^(1/2))*x1^(7/2)*x2^(15/2) + (-2*q^(27/2) - 4*q^(25/2) - 8*q^(23/2) - 14*q^(21/2) - 24*q^(19/2) - 14*q^(17/2) - 10*q^(15/2) + 6*q^(11/2) + 4*q^(9/2) + 2*q^(7/2))*x1^(9/2)*x2^(15/2) + (6*q^(29/2) + 4*q^(27/2) + 6*q^(25/2) + 6*q^(23/2) + 6*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(11/2)*x2^(15/2) + (-7*q^(-1/2) + 10*q^(-3/2) + q^(-5/2) - 5*q^(-7/2) + 3*q^(-9/2) + q^(-13/2) - q^(-15/2))*x1^(1/2)*x2^(17/2) + (2*q^(11/2) + 4*q^(9/2) + 4*q^(7/2) - 6*q^(3/2) - 10*q^(1/2) - 19*q^(-1/2) + 10*q^(-3/2) + 14*q^(-5/2) + q^(-9/2) + q^(-13/2))*x1^(3/2)*x2^(17/2) + (-2*q^(21/2) - 2*q^(19/2) - 6*q^(17/2) - 4*q^(15/2) - 13*q^(13/2) - 11*q^(11/2) - 7*q^(9/2) + 25*q^(7/2) + 36*q^(5/2) + 42*q^(3/2) + 5*q^(1/2) - 23*q^(-1/2) - 13*q^(-3/2) - 5*q^(-5/2) - q^(-7/2) - q^(-9/2))*x1^(5/2)*x2^(17/2) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 10*q^(23/2) + 12*q^(21/2) + 22*q^(19/2) + 32*q^(17/2) + 28*q^(15/2) + q^(13/2) - 28*q^(11/2) - 69*q^(9/2) - 51*q^(7/2) - 21*q^(5/2) + 7*q^(3/2) + 12*q^(1/2) + 4*q^(-1/2) + 2*q^(-3/2))*x1^(7/2)*x2^(17/2) + (-2*q^(35/2) - 2*q^(33/2) - 6*q^(31/2) - 8*q^(29/2) - 21*q^(27/2) - 29*q^(25/2) - 43*q^(23/2) - 44*q^(21/2) - 38*q^(19/2) + 6*q^(17/2) + 25*q^(15/2) + 40*q^(13/2) + 35*q^(11/2) + 15*q^(9/2) + 3*q^(7/2) - 2*q^(5/2) - q^(3/2))*x1^(9/2)*x2^(17/2) + (2*q^(39/2) + 4*q^(37/2) + 8*q^(35/2) + 14*q^(33/2) + 24*q^(31/2) + 38*q^(29/2) + 31*q^(27/2) + 28*q^(25/2) + 18*q^(23/2) + 5*q^(21/2) - 8*q^(19/2) - 7*q^(17/2) - 8*q^(15/2) - 4*q^(13/2) - q^(11/2))*x1^(11/2)*x2^(17/2) + (-7*q^(41/2) - 5*q^(39/2) - 8*q^(37/2) - 9*q^(35/2) - 11*q^(33/2) - 9*q^(31/2) - 7*q^(29/2) - 4*q^(27/2) - 3*q^(25/2) - q^(23/2))*x1^(13/2)*x2^(17/2) + (-8*q^(-1/2) + 12*q^(-3/2) + q^(-5/2) - 7*q^(-7/2) + 5*q^(-9/2) + 2*q^(-11/2) + 4*q^(-13/2) - 4*q^(-15/2))*x1^(1/2)*x2^(19/2) + (2*q^(13/2) + 4*q^(11/2) + 4*q^(9/2) - 6*q^(5/2) - 10*q^(3/2) - 10*q^(1/2) - 14*q^(-1/2) + 21*q^(-3/2) + 18*q^(-5/2) - 8*q^(-7/2) - 6*q^(-9/2) - 4*q^(-11/2) + 4*q^(-13/2))*x1^(3/2)*x2^(19/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 4*q^(19/2) - 8*q^(17/2) - 6*q^(15/2) - 16*q^(13/2) + 4*q^(11/2) + 24*q^(9/2) + 58*q^(7/2) + 47*q^(5/2) + 22*q^(3/2) - 33*q^(1/2) - 59*q^(-1/2) - 21*q^(-3/2) - 3*q^(-5/2) + 4*q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(5/2)*x2^(19/2) + (2*q^(35/2) + 2*q^(33/2) + 4*q^(31/2) + 8*q^(29/2) + 10*q^(27/2) + 14*q^(25/2) + 26*q^(23/2) + 26*q^(21/2) + 36*q^(19/2) + 22*q^(17/2) - 22*q^(15/2) - 88*q^(13/2) - 115*q^(11/2) - 116*q^(9/2) - 37*q^(7/2) + 33*q^(5/2) + 59*q^(3/2) + 46*q^(1/2) + 14*q^(-1/2) + 6*q^(-3/2) + q^(-7/2))*x1^(7/2)*x2^(19/2) + (-2*q^(43/2) - 2*q^(41/2) - 4*q^(39/2) - 8*q^(37/2) - 14*q^(35/2) - 18*q^(33/2) - 34*q^(31/2) - 44*q^(29/2) - 72*q^(27/2) - 72*q^(25/2) - 60*q^(23/2) - 6*q^(21/2) + 54*q^(19/2) + 136*q^(17/2) + 139*q^(15/2) + 105*q^(13/2) + 49*q^(11/2) - 10*q^(9/2) - 26*q^(7/2) - 24*q^(5/2) - 11*q^(3/2) - 3*q^(1/2) - q^(-1/2))*x1^(9/2)*x2^(19/2) + (2*q^(49/2) + 2*q^(47/2) + 6*q^(45/2) + 8*q^(43/2) + 16*q^(41/2) + 28*q^(39/2) + 48*q^(37/2) + 64*q^(35/2) + 88*q^(33/2) + 94*q^(31/2) + 88*q^(29/2) + 30*q^(27/2) - 7*q^(25/2) - 52*q^(23/2) - 76*q^(21/2) - 77*q^(19/2) - 48*q^(17/2) - 25*q^(15/2) - 6*q^(13/2) + 4*q^(11/2) + 3*q^(9/2) + 2*q^(7/2))*x1^(11/2)*x2^(19/2) + (-2*q^(53/2) - 4*q^(51/2) - 8*q^(49/2) - 14*q^(47/2) - 24*q^(45/2) - 38*q^(43/2) - 60*q^(41/2) - 56*q^(39/2) - 60*q^(37/2) - 52*q^(35/2) - 40*q^(33/2) - 16*q^(31/2) + 10*q^(27/2) + 14*q^(25/2) + 14*q^(23/2) + 10*q^(21/2) + 4*q^(19/2) + 2*q^(17/2))*x1^(13/2)*x2^(19/2) + (8*q^(55/2) + 6*q^(53/2) + 10*q^(51/2) + 12*q^(49/2) + 16*q^(47/2) + 16*q^(45/2) + 18*q^(43/2) + 12*q^(41/2) + 12*q^(39/2) + 8*q^(37/2) + 6*q^(35/2) + 2*q^(33/2) + 2*q^(31/2))*x1^(15/2)*x2^(19/2)

(1/2, 5/2)

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

q^(-1/2)

(-q^(-1/2))*x1^(-1/2)*x2^(-5/2) + (-2*q^(-1/2))*x1^(-1/2)*x2^(-7/2) + (2*q^(1/2))*x1^(-3/2)*x2^(-7/2) + (-3*q^(-1/2) + 2*q^(-3/2))*x1^(-1/2)*x2^(-9/2) + (2*q^(3/2) + 4*q^(1/2) - q^(-1/2))*x1^(-3/2)*x2^(-9/2) + (-3*q^(5/2) - q^(3/2))*x1^(-5/2)*x2^(-9/2) + (-4*q^(-1/2) + 4*q^(-3/2) + q^(-5/2))*x1^(-1/2)*x2^(-11/2) + (2*q^(5/2) + 4*q^(3/2) + 4*q^(1/2) - 6*q^(-1/2) - q^(-3/2))*x1^(-3/2)*x2^(-11/2) + (-2*q^(9/2) - 4*q^(7/2) - 8*q^(5/2) + 2*q^(1/2))*x1^(-5/2)*x2^(-11/2) + (4*q^(11/2) + 2*q^(9/2) + 2*q^(7/2))*x1^(-7/2)*x2^(-11/2) + (-5*q^(-1/2) + 6*q^(-3/2) + q^(-5/2) - q^(-7/2))*x1^(-1/2)*x2^(-13/2) + (2*q^(7/2) + 4*q^(5/2) + 4*q^(3/2) - 13*q^(-1/2) - 2*q^(-3/2) + q^(-5/2))*x1^(-3/2)*x2^(-13/2) + (-2*q^(13/2) - 2*q^(11/2) - 9*q^(9/2) - 9*q^(7/2) - 7*q^(5/2) + 11*q^(3/2) + 8*q^(1/2) + q^(-1/2))*x1^(-5/2)*x2^(-13/2) + (2*q^(17/2) + 4*q^(15/2) + 8*q^(13/2) + 14*q^(11/2) + 5*q^(9/2) - 4*q^(5/2) - q^(3/2))*x1^(-7/2)*x2^(-13/2) + (-5*q^(19/2) - 3*q^(17/2) - 4*q^(15/2) - 3*q^(13/2) - q^(11/2))*x1^(-9/2)*x2^(-13/2) + (-6*q^(-1/2) + 8*q^(-3/2) + q^(-5/2) - 3*q^(-7/2) + q^(-9/2) - q^(-11/2))*x1^(-1/2)*x2^(-15/2) + (2*q^(9/2) + 4*q^(7/2) + 4*q^(5/2) - 6*q^(1/2) - 18*q^(-1/2) + q^(-3/2) + 6*q^(-5/2) + q^(-7/2) + q^(-9/2))*x1^(-3/2)*x2^(-15/2) + (-2*q^(17/2) - 2*q^(15/2) - 6*q^(13/2) - 8*q^(11/2) - 16*q^(9/2) - 2*q^(7/2) + 10*q^(5/2) + 30*q^(3/2) + 15*q^(1/2) - 3*q^(-1/2) - 3*q^(-3/2) - q^(-5/2))*x1^(-5/2)*x2^(-15/2) + (2*q^(23/2) + 2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 20*q^(15/2) + 20*q^(13/2) + 16*q^(11/2) - 14*q^(9/2) - 19*q^(7/2) - 16*q^(5/2) - 4*q^(3/2) + q^(1/2))*x1^(-7/2)*x2^(-15/2) + (-2*q^(27/2) - 4*q^(25/2) - 8*q^(23/2) - 14*q^(21/2) - 24*q^(19/2) - 14*q^(17/2) - 10*q^(15/2) + 6*q^(11/2) + 4*q^(9/2) + 2*q^(7/2))*x1^(-9/2)*x2^(-15/2) + (6*q^(29/2) + 4*q^(27/2) + 6*q^(25/2) + 6*q^(23/2) + 6*q^(21/2) + 2*q^(19/2) + 2*q^(17/2))*x1^(-11/2)*x2^(-15/2) + (-7*q^(-1/2) + 10*q^(-3/2) + q^(-5/2) - 5*q^(-7/2) + 3*q^(-9/2) + q^(-13/2) - q^(-15/2))*x1^(-1/2)*x2^(-17/2) + (2*q^(11/2) + 4*q^(9/2) + 4*q^(7/2) - 6*q^(3/2) - 10*q^(1/2) - 19*q^(-1/2) + 10*q^(-3/2) + 14*q^(-5/2) + q^(-9/2) + q^(-13/2))*x1^(-3/2)*x2^(-17/2) + (-2*q^(21/2) - 2*q^(19/2) - 6*q^(17/2) - 4*q^(15/2) - 13*q^(13/2) - 11*q^(11/2) - 7*q^(9/2) + 25*q^(7/2) + 36*q^(5/2) + 42*q^(3/2) + 5*q^(1/2) - 23*q^(-1/2) - 13*q^(-3/2) - 5*q^(-5/2) - q^(-7/2) - q^(-9/2))*x1^(-5/2)*x2^(-17/2) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 10*q^(23/2) + 12*q^(21/2) + 22*q^(19/2) + 32*q^(17/2) + 28*q^(15/2) + q^(13/2) - 28*q^(11/2) - 69*q^(9/2) - 51*q^(7/2) - 21*q^(5/2) + 7*q^(3/2) + 12*q^(1/2) + 4*q^(-1/2) + 2*q^(-3/2))*x1^(-7/2)*x2^(-17/2) + (-2*q^(35/2) - 2*q^(33/2) - 6*q^(31/2) - 8*q^(29/2) - 21*q^(27/2) - 29*q^(25/2) - 43*q^(23/2) - 44*q^(21/2) - 38*q^(19/2) + 6*q^(17/2) + 25*q^(15/2) + 40*q^(13/2) + 35*q^(11/2) + 15*q^(9/2) + 3*q^(7/2) - 2*q^(5/2) - q^(3/2))*x1^(-9/2)*x2^(-17/2) + (2*q^(39/2) + 4*q^(37/2) + 8*q^(35/2) + 14*q^(33/2) + 24*q^(31/2) + 38*q^(29/2) + 31*q^(27/2) + 28*q^(25/2) + 18*q^(23/2) + 5*q^(21/2) - 8*q^(19/2) - 7*q^(17/2) - 8*q^(15/2) - 4*q^(13/2) - q^(11/2))*x1^(-11/2)*x2^(-17/2) + (-7*q^(41/2) - 5*q^(39/2) - 8*q^(37/2) - 9*q^(35/2) - 11*q^(33/2) - 9*q^(31/2) - 7*q^(29/2) - 4*q^(27/2) - 3*q^(25/2) - q^(23/2))*x1^(-13/2)*x2^(-17/2) + (-8*q^(-1/2) + 12*q^(-3/2) + q^(-5/2) - 7*q^(-7/2) + 5*q^(-9/2) + 2*q^(-11/2) + 4*q^(-13/2) - 4*q^(-15/2))*x1^(-1/2)*x2^(-19/2) + (2*q^(13/2) + 4*q^(11/2) + 4*q^(9/2) - 6*q^(5/2) - 10*q^(3/2) - 10*q^(1/2) - 14*q^(-1/2) + 21*q^(-3/2) + 18*q^(-5/2) - 8*q^(-7/2) - 6*q^(-9/2) - 4*q^(-11/2) + 4*q^(-13/2))*x1^(-3/2)*x2^(-19/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 4*q^(19/2) - 8*q^(17/2) - 6*q^(15/2) - 16*q^(13/2) + 4*q^(11/2) + 24*q^(9/2) + 58*q^(7/2) + 47*q^(5/2) + 22*q^(3/2) - 33*q^(1/2) - 59*q^(-1/2) - 21*q^(-3/2) - 3*q^(-5/2) + 4*q^(-7/2) - q^(-9/2) - q^(-11/2))*x1^(-5/2)*x2^(-19/2) + (2*q^(35/2) + 2*q^(33/2) + 4*q^(31/2) + 8*q^(29/2) + 10*q^(27/2) + 14*q^(25/2) + 26*q^(23/2) + 26*q^(21/2) + 36*q^(19/2) + 22*q^(17/2) - 22*q^(15/2) - 88*q^(13/2) - 115*q^(11/2) - 116*q^(9/2) - 37*q^(7/2) + 33*q^(5/2) + 59*q^(3/2) + 46*q^(1/2) + 14*q^(-1/2) + 6*q^(-3/2) + q^(-7/2))*x1^(-7/2)*x2^(-19/2) + (-2*q^(43/2) - 2*q^(41/2) - 4*q^(39/2) - 8*q^(37/2) - 14*q^(35/2) - 18*q^(33/2) - 34*q^(31/2) - 44*q^(29/2) - 72*q^(27/2) - 72*q^(25/2) - 60*q^(23/2) - 6*q^(21/2) + 54*q^(19/2) + 136*q^(17/2) + 139*q^(15/2) + 105*q^(13/2) + 49*q^(11/2) - 10*q^(9/2) - 26*q^(7/2) - 24*q^(5/2) - 11*q^(3/2) - 3*q^(1/2) - q^(-1/2))*x1^(-9/2)*x2^(-19/2) + (2*q^(49/2) + 2*q^(47/2) + 6*q^(45/2) + 8*q^(43/2) + 16*q^(41/2) + 28*q^(39/2) + 48*q^(37/2) + 64*q^(35/2) + 88*q^(33/2) + 94*q^(31/2) + 88*q^(29/2) + 30*q^(27/2) - 7*q^(25/2) - 52*q^(23/2) - 76*q^(21/2) - 77*q^(19/2) - 48*q^(17/2) - 25*q^(15/2) - 6*q^(13/2) + 4*q^(11/2) + 3*q^(9/2) + 2*q^(7/2))*x1^(-11/2)*x2^(-19/2) + (-2*q^(53/2) - 4*q^(51/2) - 8*q^(49/2) - 14*q^(47/2) - 24*q^(45/2) - 38*q^(43/2) - 60*q^(41/2) - 56*q^(39/2) - 60*q^(37/2) - 52*q^(35/2) - 40*q^(33/2) - 16*q^(31/2) + 10*q^(27/2) + 14*q^(25/2) + 14*q^(23/2) + 10*q^(21/2) + 4*q^(19/2) + 2*q^(17/2))*x1^(-13/2)*x2^(-19/2) + (8*q^(55/2) + 6*q^(53/2) + 10*q^(51/2) + 12*q^(49/2) + 16*q^(47/2) + 16*q^(45/2) + 18*q^(43/2) + 12*q^(41/2) + 12*q^(39/2) + 8*q^(37/2) + 6*q^(35/2) + 2*q^(33/2) + 2*q^(31/2))*x1^(-15/2)*x2^(-19/2)

Braid

Braid word	Components	Crossings	Strands
`[-1, -1, 2, 2, -1, -1, 2, 2, -1]`	2	9	3

Multivariable Alexander polynomial

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

HFL polytope

Poincaré polynomial
`m^(-4)A1^(-1)A2^(-3) + 3m^(-3)A1^(-1)A2^(-2) + m^(-3)A2^(-3) + 5m^(-2)A1^(-1)A2^(-1) + 5m^(-2)A2^(-2) + 6m^(-1)A1^(-1) + 10m^(-1)A2^(-1) + 2m^(-1)A1A2^(-2) + 5A1^(-1)A2 + 12 + 5A1A2^(-1) + 2mA1^(-1)A2^2 + 10mA2 + 6mA1 + 5m^2A2^2 + 5m^2A1A2 + m^3A2^3 + 3m^3A1A2^2 + m^4A1A2^3`

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

Record

FL/HFL Links

`orderOption(int)`	`154`
`namestring`	`L9a6{1}`
`statusstring`	`success`
`slugstring`	`L9a6_1_d55ac6ee`
`result_filestring`	`details/L9a6_1_d55ac6ee.json`
`complexity_scoreOption(int)`	`162`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`9`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`88`
`wall_secondsOption(float)`	`0.001963`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`2`
`support_sizeOption(int)`	`19`
`vertex_countOption(int)`	`6`
`fibered_vertex_countOption(int)`	`2`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`10`
`alexander_vertex_countOption(int)`	`4`
`alexander_relationstring`	`not_computed`
`fk_countint`	`2`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L9a6_1_d55ac6ee" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L9a6_1_d55ac6ee`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions