L9a12{1} - HFL and FL

details/L9a12_1_a74ef66f.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) + q^(-3/2))x1^(1/2)x2^(9/2) + (2q^(3/2) + 4q^(1/2))x1^(3/2)x2^(9/2) + (-3q^(5/2) - q^(3/2))x1^(5/2)x2^(9/2) + (-4q^(-1/2) + 2q^(-3/2))x1^(1/2)x2^(11/2) + (2q^(5/2) + 4q^(3/2) + 6q^(1/2) - 2q^(-1/2))x1^(3/2)x2^(11/2) + (-2q^(9/2) - 4q^(7/2) - 8q^(5/2) - 2q^(3/2))x1^(5/2)x2^(11/2) + (4q^(11/2) + 2q^(9/2) + 2q^(7/2))x1^(7/2)x2^(11/2) + (-5q^(-1/2) + 3q^(-3/2))x1^(1/2)x2^(13/2) + (2q^(7/2) + 4q^(5/2) + 6q^(3/2) + 6q^(1/2) - 4q^(-1/2))x1^(3/2)x2^(13/2) + (-2q^(13/2) - 2q^(11/2) - 9q^(9/2) - 11q^(7/2) - 13q^(5/2) + q^(1/2))x1^(5/2)x2^(13/2) + (2q^(17/2) + 4q^(15/2) + 8q^(13/2) + 14q^(11/2) + 8q^(9/2) + 4q^(7/2))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) + 4q^(-3/2) + 2q^(-9/2))x1^(1/2)x2^(15/2) + (2q^(9/2) + 4q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 6q^(-1/2) - q^(-7/2))x1^(3/2)x2^(15/2) + (-2q^(17/2) - 2q^(15/2) - 6q^(13/2) - 10q^(11/2) - 20q^(9/2) - 16q^(7/2) - 14q^(5/2) + 4q^(3/2) + 2q^(1/2))x1^(5/2)x2^(15/2) + (2q^(23/2) + 2q^(21/2) + 6q^(19/2) + 12q^(17/2) + 22q^(15/2) + 26q^(13/2) + 30q^(11/2) + 10q^(9/2) + 4q^(7/2) - 2q^(5/2))x1^(7/2)x2^(15/2) + (-2q^(27/2) - 4q^(25/2) - 8q^(23/2) - 14q^(21/2) - 24q^(19/2) - 18q^(17/2) - 16q^(15/2) - 8q^(13/2) - 2q^(11/2))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) + 5q^(-3/2) + 4q^(-9/2) + 2q^(-11/2))x1^(1/2)x2^(17/2) + (2q^(11/2) + 4q^(9/2) + 6q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 8q^(-1/2) - 2q^(-5/2) - 6q^(-7/2) - 2q^(-9/2))x1^(3/2)x2^(17/2) + (-2q^(21/2) - 2q^(19/2) - 6q^(17/2) - 6q^(15/2) - 17q^(13/2) - 21q^(11/2) - 29q^(9/2) - 16q^(7/2) - 12q^(5/2) + 8q^(3/2) + 3q^(1/2) + 2q^(-3/2) + 2q^(-5/2))x1^(5/2)x2^(17/2) + (2q^(29/2) + 2q^(27/2) + 4q^(25/2) + 10q^(23/2) + 14q^(21/2) + 26q^(19/2) + 42q^(17/2) + 52q^(15/2) + 48q^(13/2) + 38q^(11/2) + 6q^(9/2) - 4q^(5/2))x1^(7/2)x2^(17/2) + (-2q^(35/2) - 2q^(33/2) - 6q^(31/2) - 8q^(29/2) - 21q^(27/2) - 31q^(25/2) - 49q^(23/2) - 58q^(21/2) - 66q^(19/2) - 41q^(17/2) - 28q^(15/2) - 9q^(13/2) + q^(9/2))x1^(9/2)x2^(17/2) + (2q^(39/2) + 4q^(37/2) + 8q^(35/2) + 14q^(33/2) + 24q^(31/2) + 38q^(29/2) + 36q^(27/2) + 36q^(25/2) + 30q^(23/2) + 20q^(21/2) + 8q^(19/2) + 4q^(17/2))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) + 6q^(-3/2) + 6q^(-9/2) + 4q^(-11/2) + 2q^(-13/2) - 2q^(-15/2))x1^(1/2)x2^(19/2) + (2q^(13/2) + 4q^(11/2) + 6q^(9/2) + 6q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 10q^(-1/2) - 2q^(-3/2) - 8q^(-5/2) - 15q^(-7/2) - 8q^(-9/2) - 2q^(-11/2) + q^(-13/2))x1^(3/2)x2^(19/2) + (-2q^(25/2) - 2q^(23/2) - 6q^(21/2) - 6q^(19/2) - 12q^(17/2) - 16q^(15/2) - 32q^(13/2) - 30q^(11/2) - 32q^(9/2) - 12q^(7/2) - 10q^(5/2) + 12q^(3/2) + 6q^(1/2) + 6q^(-1/2) + 14q^(-3/2) + 10q^(-5/2) + 4q^(-7/2))x1^(5/2)x2^(19/2) + (2q^(35/2) + 2q^(33/2) + 4q^(31/2) + 8q^(29/2) + 12q^(27/2) + 18q^(25/2) + 34q^(23/2) + 44q^(21/2) + 70q^(19/2) + 84q^(17/2) + 84q^(15/2) + 56q^(13/2) + 36q^(11/2) - 4q^(9/2) - 4q^(7/2) - 6q^(5/2) - 3q^(3/2) - 4q^(1/2) - 4q^(-1/2) - q^(-3/2))x1^(7/2)x2^(19/2) + (-2q^(43/2) - 2q^(41/2) - 4q^(39/2) - 8q^(37/2) - 14q^(35/2) - 20q^(33/2) - 38q^(31/2) - 54q^(29/2) - 90q^(27/2) - 114q^(25/2) - 136q^(23/2) - 128q^(21/2) - 112q^(19/2) - 54q^(17/2) - 28q^(15/2) - 2q^(13/2) + 4q^(11/2) + 2q^(9/2))x1^(9/2)x2^(19/2) + (2q^(49/2) + 2q^(47/2) + 6q^(45/2) + 8q^(43/2) + 16q^(41/2) + 28q^(39/2) + 50q^(37/2) + 70q^(35/2) + 102q^(33/2) + 122q^(31/2) + 140q^(29/2) + 114q^(27/2) + 98q^(25/2) + 62q^(23/2) + 34q^(21/2) + 8q^(19/2) + 4q^(17/2) - 2q^(15/2))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) - 62q^(39/2) - 70q^(37/2) - 68q^(35/2) - 62q^(33/2) - 44q^(31/2) - 30q^(29/2) - 16q^(27/2) - 8q^(25/2) - 2q^(23/2))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) + q^(-3/2))x1^(1/2)x2^(9/2) + (2q^(3/2) + 4q^(1/2))x1^(3/2)x2^(9/2) + (-3q^(5/2) - q^(3/2))x1^(5/2)x2^(9/2) + (-4q^(-1/2) + 2q^(-3/2))x1^(1/2)x2^(11/2) + (2q^(5/2) + 4q^(3/2) + 6q^(1/2) - 2q^(-1/2))x1^(3/2)x2^(11/2) + (-2q^(9/2) - 4q^(7/2) - 8q^(5/2) - 2q^(3/2))x1^(5/2)x2^(11/2) + (4q^(11/2) + 2q^(9/2) + 2q^(7/2))x1^(7/2)x2^(11/2) + (-5q^(-1/2) + 3q^(-3/2))x1^(1/2)x2^(13/2) + (2q^(7/2) + 4q^(5/2) + 6q^(3/2) + 6q^(1/2) - 4q^(-1/2))x1^(3/2)x2^(13/2) + (-2q^(13/2) - 2q^(11/2) - 9q^(9/2) - 11q^(7/2) - 13q^(5/2) + q^(1/2))x1^(5/2)x2^(13/2) + (2q^(17/2) + 4q^(15/2) + 8q^(13/2) + 14q^(11/2) + 8q^(9/2) + 4q^(7/2))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) + 4q^(-3/2) + 2q^(-9/2))x1^(1/2)x2^(15/2) + (2q^(9/2) + 4q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 6q^(-1/2) - q^(-7/2))x1^(3/2)x2^(15/2) + (-2q^(17/2) - 2q^(15/2) - 6q^(13/2) - 10q^(11/2) - 20q^(9/2) - 16q^(7/2) - 14q^(5/2) + 4q^(3/2) + 2q^(1/2))x1^(5/2)x2^(15/2) + (2q^(23/2) + 2q^(21/2) + 6q^(19/2) + 12q^(17/2) + 22q^(15/2) + 26q^(13/2) + 30q^(11/2) + 10q^(9/2) + 4q^(7/2) - 2q^(5/2))x1^(7/2)x2^(15/2) + (-2q^(27/2) - 4q^(25/2) - 8q^(23/2) - 14q^(21/2) - 24q^(19/2) - 18q^(17/2) - 16q^(15/2) - 8q^(13/2) - 2q^(11/2))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) + 5q^(-3/2) + 4q^(-9/2) + 2q^(-11/2))x1^(1/2)x2^(17/2) + (2q^(11/2) + 4q^(9/2) + 6q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 8q^(-1/2) - 2q^(-5/2) - 6q^(-7/2) - 2q^(-9/2))x1^(3/2)x2^(17/2) + (-2q^(21/2) - 2q^(19/2) - 6q^(17/2) - 6q^(15/2) - 17q^(13/2) - 21q^(11/2) - 29q^(9/2) - 16q^(7/2) - 12q^(5/2) + 8q^(3/2) + 3q^(1/2) + 2q^(-3/2) + 2q^(-5/2))x1^(5/2)x2^(17/2) + (2q^(29/2) + 2q^(27/2) + 4q^(25/2) + 10q^(23/2) + 14q^(21/2) + 26q^(19/2) + 42q^(17/2) + 52q^(15/2) + 48q^(13/2) + 38q^(11/2) + 6q^(9/2) - 4q^(5/2))x1^(7/2)x2^(17/2) + (-2q^(35/2) - 2q^(33/2) - 6q^(31/2) - 8q^(29/2) - 21q^(27/2) - 31q^(25/2) - 49q^(23/2) - 58q^(21/2) - 66q^(19/2) - 41q^(17/2) - 28q^(15/2) - 9q^(13/2) + q^(9/2))x1^(9/2)x2^(17/2) + (2q^(39/2) + 4q^(37/2) + 8q^(35/2) + 14q^(33/2) + 24q^(31/2) + 38q^(29/2) + 36q^(27/2) + 36q^(25/2) + 30q^(23/2) + 20q^(21/2) + 8q^(19/2) + 4q^(17/2))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) + 6q^(-3/2) + 6q^(-9/2) + 4q^(-11/2) + 2q^(-13/2) - 2q^(-15/2))x1^(1/2)x2^(19/2) + (2q^(13/2) + 4q^(11/2) + 6q^(9/2) + 6q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 10q^(-1/2) - 2q^(-3/2) - 8q^(-5/2) - 15q^(-7/2) - 8q^(-9/2) - 2q^(-11/2) + q^(-13/2))x1^(3/2)x2^(19/2) + (-2q^(25/2) - 2q^(23/2) - 6q^(21/2) - 6q^(19/2) - 12q^(17/2) - 16q^(15/2) - 32q^(13/2) - 30q^(11/2) - 32q^(9/2) - 12q^(7/2) - 10q^(5/2) + 12q^(3/2) + 6q^(1/2) + 6q^(-1/2) + 14q^(-3/2) + 10q^(-5/2) + 4q^(-7/2))x1^(5/2)x2^(19/2) + (2q^(35/2) + 2q^(33/2) + 4q^(31/2) + 8q^(29/2) + 12q^(27/2) + 18q^(25/2) + 34q^(23/2) + 44q^(21/2) + 70q^(19/2) + 84q^(17/2) + 84q^(15/2) + 56q^(13/2) + 36q^(11/2) - 4q^(9/2) - 4q^(7/2) - 6q^(5/2) - 3q^(3/2) - 4q^(1/2) - 4q^(-1/2) - q^(-3/2))x1^(7/2)x2^(19/2) + (-2q^(43/2) - 2q^(41/2) - 4q^(39/2) - 8q^(37/2) - 14q^(35/2) - 20q^(33/2) - 38q^(31/2) - 54q^(29/2) - 90q^(27/2) - 114q^(25/2) - 136q^(23/2) - 128q^(21/2) - 112q^(19/2) - 54q^(17/2) - 28q^(15/2) - 2q^(13/2) + 4q^(11/2) + 2q^(9/2))x1^(9/2)x2^(19/2) + (2q^(49/2) + 2q^(47/2) + 6q^(45/2) + 8q^(43/2) + 16q^(41/2) + 28q^(39/2) + 50q^(37/2) + 70q^(35/2) + 102q^(33/2) + 122q^(31/2) + 140q^(29/2) + 114q^(27/2) + 98q^(25/2) + 62q^(23/2) + 34q^(21/2) + 8q^(19/2) + 4q^(17/2) - 2q^(15/2))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) - 62q^(39/2) - 70q^(37/2) - 68q^(35/2) - 62q^(33/2) - 44q^(31/2) - 30q^(29/2) - 16q^(27/2) - 8q^(25/2) - 2q^(23/2))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) + q^(-3/2))x1^(-1/2)x2^(-9/2) + (2q^(3/2) + 4q^(1/2))x1^(-3/2)x2^(-9/2) + (-3q^(5/2) - q^(3/2))x1^(-5/2)x2^(-9/2) + (-4q^(-1/2) + 2q^(-3/2))x1^(-1/2)x2^(-11/2) + (2q^(5/2) + 4q^(3/2) + 6q^(1/2) - 2q^(-1/2))x1^(-3/2)x2^(-11/2) + (-2q^(9/2) - 4q^(7/2) - 8q^(5/2) - 2q^(3/2))x1^(-5/2)x2^(-11/2) + (4q^(11/2) + 2q^(9/2) + 2q^(7/2))x1^(-7/2)x2^(-11/2) + (-5q^(-1/2) + 3q^(-3/2))x1^(-1/2)x2^(-13/2) + (2q^(7/2) + 4q^(5/2) + 6q^(3/2) + 6q^(1/2) - 4q^(-1/2))x1^(-3/2)x2^(-13/2) + (-2q^(13/2) - 2q^(11/2) - 9q^(9/2) - 11q^(7/2) - 13q^(5/2) + q^(1/2))x1^(-5/2)x2^(-13/2) + (2q^(17/2) + 4q^(15/2) + 8q^(13/2) + 14q^(11/2) + 8q^(9/2) + 4q^(7/2))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) + 4q^(-3/2) + 2q^(-9/2))x1^(-1/2)x2^(-15/2) + (2q^(9/2) + 4q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 6q^(-1/2) - q^(-7/2))x1^(-3/2)x2^(-15/2) + (-2q^(17/2) - 2q^(15/2) - 6q^(13/2) - 10q^(11/2) - 20q^(9/2) - 16q^(7/2) - 14q^(5/2) + 4q^(3/2) + 2q^(1/2))x1^(-5/2)x2^(-15/2) + (2q^(23/2) + 2q^(21/2) + 6q^(19/2) + 12q^(17/2) + 22q^(15/2) + 26q^(13/2) + 30q^(11/2) + 10q^(9/2) + 4q^(7/2) - 2q^(5/2))x1^(-7/2)x2^(-15/2) + (-2q^(27/2) - 4q^(25/2) - 8q^(23/2) - 14q^(21/2) - 24q^(19/2) - 18q^(17/2) - 16q^(15/2) - 8q^(13/2) - 2q^(11/2))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) + 5q^(-3/2) + 4q^(-9/2) + 2q^(-11/2))x1^(-1/2)x2^(-17/2) + (2q^(11/2) + 4q^(9/2) + 6q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 8q^(-1/2) - 2q^(-5/2) - 6q^(-7/2) - 2q^(-9/2))x1^(-3/2)x2^(-17/2) + (-2q^(21/2) - 2q^(19/2) - 6q^(17/2) - 6q^(15/2) - 17q^(13/2) - 21q^(11/2) - 29q^(9/2) - 16q^(7/2) - 12q^(5/2) + 8q^(3/2) + 3q^(1/2) + 2q^(-3/2) + 2q^(-5/2))x1^(-5/2)x2^(-17/2) + (2q^(29/2) + 2q^(27/2) + 4q^(25/2) + 10q^(23/2) + 14q^(21/2) + 26q^(19/2) + 42q^(17/2) + 52q^(15/2) + 48q^(13/2) + 38q^(11/2) + 6q^(9/2) - 4q^(5/2))x1^(-7/2)x2^(-17/2) + (-2q^(35/2) - 2q^(33/2) - 6q^(31/2) - 8q^(29/2) - 21q^(27/2) - 31q^(25/2) - 49q^(23/2) - 58q^(21/2) - 66q^(19/2) - 41q^(17/2) - 28q^(15/2) - 9q^(13/2) + q^(9/2))x1^(-9/2)x2^(-17/2) + (2q^(39/2) + 4q^(37/2) + 8q^(35/2) + 14q^(33/2) + 24q^(31/2) + 38q^(29/2) + 36q^(27/2) + 36q^(25/2) + 30q^(23/2) + 20q^(21/2) + 8q^(19/2) + 4q^(17/2))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) + 6q^(-3/2) + 6q^(-9/2) + 4q^(-11/2) + 2q^(-13/2) - 2q^(-15/2))x1^(-1/2)x2^(-19/2) + (2q^(13/2) + 4q^(11/2) + 6q^(9/2) + 6q^(7/2) + 6q^(5/2) + 6q^(3/2) + 6q^(1/2) - 10q^(-1/2) - 2q^(-3/2) - 8q^(-5/2) - 15q^(-7/2) - 8q^(-9/2) - 2q^(-11/2) + q^(-13/2))x1^(-3/2)x2^(-19/2) + (-2q^(25/2) - 2q^(23/2) - 6q^(21/2) - 6q^(19/2) - 12q^(17/2) - 16q^(15/2) - 32q^(13/2) - 30q^(11/2) - 32q^(9/2) - 12q^(7/2) - 10q^(5/2) + 12q^(3/2) + 6q^(1/2) + 6q^(-1/2) + 14q^(-3/2) + 10q^(-5/2) + 4q^(-7/2))x1^(-5/2)x2^(-19/2) + (2q^(35/2) + 2q^(33/2) + 4q^(31/2) + 8q^(29/2) + 12q^(27/2) + 18q^(25/2) + 34q^(23/2) + 44q^(21/2) + 70q^(19/2) + 84q^(17/2) + 84q^(15/2) + 56q^(13/2) + 36q^(11/2) - 4q^(9/2) - 4q^(7/2) - 6q^(5/2) - 3q^(3/2) - 4q^(1/2) - 4q^(-1/2) - q^(-3/2))x1^(-7/2)x2^(-19/2) + (-2q^(43/2) - 2q^(41/2) - 4q^(39/2) - 8q^(37/2) - 14q^(35/2) - 20q^(33/2) - 38q^(31/2) - 54q^(29/2) - 90q^(27/2) - 114q^(25/2) - 136q^(23/2) - 128q^(21/2) - 112q^(19/2) - 54q^(17/2) - 28q^(15/2) - 2q^(13/2) + 4q^(11/2) + 2q^(9/2))x1^(-9/2)x2^(-19/2) + (2q^(49/2) + 2q^(47/2) + 6q^(45/2) + 8q^(43/2) + 16q^(41/2) + 28q^(39/2) + 50q^(37/2) + 70q^(35/2) + 102q^(33/2) + 122q^(31/2) + 140q^(29/2) + 114q^(27/2) + 98q^(25/2) + 62q^(23/2) + 34q^(21/2) + 8q^(19/2) + 4q^(17/2) - 2q^(15/2))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) - 62q^(39/2) - 70q^(37/2) - 68q^(35/2) - 62q^(33/2) - 44q^(31/2) - 30q^(29/2) - 16q^(27/2) - 8q^(25/2) - 2q^(23/2))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) + q^(-3/2))*x1^(1/2)*x2^(9/2) + (2*q^(3/2) + 4*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) + 2*q^(-3/2))*x1^(1/2)*x2^(11/2) + (2*q^(5/2) + 4*q^(3/2) + 6*q^(1/2) - 2*q^(-1/2))*x1^(3/2)*x2^(11/2) + (-2*q^(9/2) - 4*q^(7/2) - 8*q^(5/2) - 2*q^(3/2))*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) + 3*q^(-3/2))*x1^(1/2)*x2^(13/2) + (2*q^(7/2) + 4*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 4*q^(-1/2))*x1^(3/2)*x2^(13/2) + (-2*q^(13/2) - 2*q^(11/2) - 9*q^(9/2) - 11*q^(7/2) - 13*q^(5/2) + 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) + 8*q^(9/2) + 4*q^(7/2))*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) + 4*q^(-3/2) + 2*q^(-9/2))*x1^(1/2)*x2^(15/2) + (2*q^(9/2) + 4*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 6*q^(-1/2) - q^(-7/2))*x1^(3/2)*x2^(15/2) + (-2*q^(17/2) - 2*q^(15/2) - 6*q^(13/2) - 10*q^(11/2) - 20*q^(9/2) - 16*q^(7/2) - 14*q^(5/2) + 4*q^(3/2) + 2*q^(1/2))*x1^(5/2)*x2^(15/2) + (2*q^(23/2) + 2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 22*q^(15/2) + 26*q^(13/2) + 30*q^(11/2) + 10*q^(9/2) + 4*q^(7/2) - 2*q^(5/2))*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) - 18*q^(17/2) - 16*q^(15/2) - 8*q^(13/2) - 2*q^(11/2))*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) + 5*q^(-3/2) + 4*q^(-9/2) + 2*q^(-11/2))*x1^(1/2)*x2^(17/2) + (2*q^(11/2) + 4*q^(9/2) + 6*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 8*q^(-1/2) - 2*q^(-5/2) - 6*q^(-7/2) - 2*q^(-9/2))*x1^(3/2)*x2^(17/2) + (-2*q^(21/2) - 2*q^(19/2) - 6*q^(17/2) - 6*q^(15/2) - 17*q^(13/2) - 21*q^(11/2) - 29*q^(9/2) - 16*q^(7/2) - 12*q^(5/2) + 8*q^(3/2) + 3*q^(1/2) + 2*q^(-3/2) + 2*q^(-5/2))*x1^(5/2)*x2^(17/2) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 10*q^(23/2) + 14*q^(21/2) + 26*q^(19/2) + 42*q^(17/2) + 52*q^(15/2) + 48*q^(13/2) + 38*q^(11/2) + 6*q^(9/2) - 4*q^(5/2))*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) - 31*q^(25/2) - 49*q^(23/2) - 58*q^(21/2) - 66*q^(19/2) - 41*q^(17/2) - 28*q^(15/2) - 9*q^(13/2) + q^(9/2))*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) + 36*q^(27/2) + 36*q^(25/2) + 30*q^(23/2) + 20*q^(21/2) + 8*q^(19/2) + 4*q^(17/2))*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) + 6*q^(-3/2) + 6*q^(-9/2) + 4*q^(-11/2) + 2*q^(-13/2) - 2*q^(-15/2))*x1^(1/2)*x2^(19/2) + (2*q^(13/2) + 4*q^(11/2) + 6*q^(9/2) + 6*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 10*q^(-1/2) - 2*q^(-3/2) - 8*q^(-5/2) - 15*q^(-7/2) - 8*q^(-9/2) - 2*q^(-11/2) + q^(-13/2))*x1^(3/2)*x2^(19/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 6*q^(19/2) - 12*q^(17/2) - 16*q^(15/2) - 32*q^(13/2) - 30*q^(11/2) - 32*q^(9/2) - 12*q^(7/2) - 10*q^(5/2) + 12*q^(3/2) + 6*q^(1/2) + 6*q^(-1/2) + 14*q^(-3/2) + 10*q^(-5/2) + 4*q^(-7/2))*x1^(5/2)*x2^(19/2) + (2*q^(35/2) + 2*q^(33/2) + 4*q^(31/2) + 8*q^(29/2) + 12*q^(27/2) + 18*q^(25/2) + 34*q^(23/2) + 44*q^(21/2) + 70*q^(19/2) + 84*q^(17/2) + 84*q^(15/2) + 56*q^(13/2) + 36*q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 6*q^(5/2) - 3*q^(3/2) - 4*q^(1/2) - 4*q^(-1/2) - q^(-3/2))*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) - 20*q^(33/2) - 38*q^(31/2) - 54*q^(29/2) - 90*q^(27/2) - 114*q^(25/2) - 136*q^(23/2) - 128*q^(21/2) - 112*q^(19/2) - 54*q^(17/2) - 28*q^(15/2) - 2*q^(13/2) + 4*q^(11/2) + 2*q^(9/2))*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) + 50*q^(37/2) + 70*q^(35/2) + 102*q^(33/2) + 122*q^(31/2) + 140*q^(29/2) + 114*q^(27/2) + 98*q^(25/2) + 62*q^(23/2) + 34*q^(21/2) + 8*q^(19/2) + 4*q^(17/2) - 2*q^(15/2))*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) - 62*q^(39/2) - 70*q^(37/2) - 68*q^(35/2) - 62*q^(33/2) - 44*q^(31/2) - 30*q^(29/2) - 16*q^(27/2) - 8*q^(25/2) - 2*q^(23/2))*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) + q^(-3/2))*x1^(1/2)*x2^(9/2) + (2*q^(3/2) + 4*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) + 2*q^(-3/2))*x1^(1/2)*x2^(11/2) + (2*q^(5/2) + 4*q^(3/2) + 6*q^(1/2) - 2*q^(-1/2))*x1^(3/2)*x2^(11/2) + (-2*q^(9/2) - 4*q^(7/2) - 8*q^(5/2) - 2*q^(3/2))*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) + 3*q^(-3/2))*x1^(1/2)*x2^(13/2) + (2*q^(7/2) + 4*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 4*q^(-1/2))*x1^(3/2)*x2^(13/2) + (-2*q^(13/2) - 2*q^(11/2) - 9*q^(9/2) - 11*q^(7/2) - 13*q^(5/2) + 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) + 8*q^(9/2) + 4*q^(7/2))*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) + 4*q^(-3/2) + 2*q^(-9/2))*x1^(1/2)*x2^(15/2) + (2*q^(9/2) + 4*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 6*q^(-1/2) - q^(-7/2))*x1^(3/2)*x2^(15/2) + (-2*q^(17/2) - 2*q^(15/2) - 6*q^(13/2) - 10*q^(11/2) - 20*q^(9/2) - 16*q^(7/2) - 14*q^(5/2) + 4*q^(3/2) + 2*q^(1/2))*x1^(5/2)*x2^(15/2) + (2*q^(23/2) + 2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 22*q^(15/2) + 26*q^(13/2) + 30*q^(11/2) + 10*q^(9/2) + 4*q^(7/2) - 2*q^(5/2))*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) - 18*q^(17/2) - 16*q^(15/2) - 8*q^(13/2) - 2*q^(11/2))*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) + 5*q^(-3/2) + 4*q^(-9/2) + 2*q^(-11/2))*x1^(1/2)*x2^(17/2) + (2*q^(11/2) + 4*q^(9/2) + 6*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 8*q^(-1/2) - 2*q^(-5/2) - 6*q^(-7/2) - 2*q^(-9/2))*x1^(3/2)*x2^(17/2) + (-2*q^(21/2) - 2*q^(19/2) - 6*q^(17/2) - 6*q^(15/2) - 17*q^(13/2) - 21*q^(11/2) - 29*q^(9/2) - 16*q^(7/2) - 12*q^(5/2) + 8*q^(3/2) + 3*q^(1/2) + 2*q^(-3/2) + 2*q^(-5/2))*x1^(5/2)*x2^(17/2) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 10*q^(23/2) + 14*q^(21/2) + 26*q^(19/2) + 42*q^(17/2) + 52*q^(15/2) + 48*q^(13/2) + 38*q^(11/2) + 6*q^(9/2) - 4*q^(5/2))*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) - 31*q^(25/2) - 49*q^(23/2) - 58*q^(21/2) - 66*q^(19/2) - 41*q^(17/2) - 28*q^(15/2) - 9*q^(13/2) + q^(9/2))*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) + 36*q^(27/2) + 36*q^(25/2) + 30*q^(23/2) + 20*q^(21/2) + 8*q^(19/2) + 4*q^(17/2))*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) + 6*q^(-3/2) + 6*q^(-9/2) + 4*q^(-11/2) + 2*q^(-13/2) - 2*q^(-15/2))*x1^(1/2)*x2^(19/2) + (2*q^(13/2) + 4*q^(11/2) + 6*q^(9/2) + 6*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 10*q^(-1/2) - 2*q^(-3/2) - 8*q^(-5/2) - 15*q^(-7/2) - 8*q^(-9/2) - 2*q^(-11/2) + q^(-13/2))*x1^(3/2)*x2^(19/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 6*q^(19/2) - 12*q^(17/2) - 16*q^(15/2) - 32*q^(13/2) - 30*q^(11/2) - 32*q^(9/2) - 12*q^(7/2) - 10*q^(5/2) + 12*q^(3/2) + 6*q^(1/2) + 6*q^(-1/2) + 14*q^(-3/2) + 10*q^(-5/2) + 4*q^(-7/2))*x1^(5/2)*x2^(19/2) + (2*q^(35/2) + 2*q^(33/2) + 4*q^(31/2) + 8*q^(29/2) + 12*q^(27/2) + 18*q^(25/2) + 34*q^(23/2) + 44*q^(21/2) + 70*q^(19/2) + 84*q^(17/2) + 84*q^(15/2) + 56*q^(13/2) + 36*q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 6*q^(5/2) - 3*q^(3/2) - 4*q^(1/2) - 4*q^(-1/2) - q^(-3/2))*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) - 20*q^(33/2) - 38*q^(31/2) - 54*q^(29/2) - 90*q^(27/2) - 114*q^(25/2) - 136*q^(23/2) - 128*q^(21/2) - 112*q^(19/2) - 54*q^(17/2) - 28*q^(15/2) - 2*q^(13/2) + 4*q^(11/2) + 2*q^(9/2))*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) + 50*q^(37/2) + 70*q^(35/2) + 102*q^(33/2) + 122*q^(31/2) + 140*q^(29/2) + 114*q^(27/2) + 98*q^(25/2) + 62*q^(23/2) + 34*q^(21/2) + 8*q^(19/2) + 4*q^(17/2) - 2*q^(15/2))*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) - 62*q^(39/2) - 70*q^(37/2) - 68*q^(35/2) - 62*q^(33/2) - 44*q^(31/2) - 30*q^(29/2) - 16*q^(27/2) - 8*q^(25/2) - 2*q^(23/2))*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) + q^(-3/2))*x1^(-1/2)*x2^(-9/2) + (2*q^(3/2) + 4*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) + 2*q^(-3/2))*x1^(-1/2)*x2^(-11/2) + (2*q^(5/2) + 4*q^(3/2) + 6*q^(1/2) - 2*q^(-1/2))*x1^(-3/2)*x2^(-11/2) + (-2*q^(9/2) - 4*q^(7/2) - 8*q^(5/2) - 2*q^(3/2))*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) + 3*q^(-3/2))*x1^(-1/2)*x2^(-13/2) + (2*q^(7/2) + 4*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 4*q^(-1/2))*x1^(-3/2)*x2^(-13/2) + (-2*q^(13/2) - 2*q^(11/2) - 9*q^(9/2) - 11*q^(7/2) - 13*q^(5/2) + 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) + 8*q^(9/2) + 4*q^(7/2))*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) + 4*q^(-3/2) + 2*q^(-9/2))*x1^(-1/2)*x2^(-15/2) + (2*q^(9/2) + 4*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 6*q^(-1/2) - q^(-7/2))*x1^(-3/2)*x2^(-15/2) + (-2*q^(17/2) - 2*q^(15/2) - 6*q^(13/2) - 10*q^(11/2) - 20*q^(9/2) - 16*q^(7/2) - 14*q^(5/2) + 4*q^(3/2) + 2*q^(1/2))*x1^(-5/2)*x2^(-15/2) + (2*q^(23/2) + 2*q^(21/2) + 6*q^(19/2) + 12*q^(17/2) + 22*q^(15/2) + 26*q^(13/2) + 30*q^(11/2) + 10*q^(9/2) + 4*q^(7/2) - 2*q^(5/2))*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) - 18*q^(17/2) - 16*q^(15/2) - 8*q^(13/2) - 2*q^(11/2))*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) + 5*q^(-3/2) + 4*q^(-9/2) + 2*q^(-11/2))*x1^(-1/2)*x2^(-17/2) + (2*q^(11/2) + 4*q^(9/2) + 6*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 8*q^(-1/2) - 2*q^(-5/2) - 6*q^(-7/2) - 2*q^(-9/2))*x1^(-3/2)*x2^(-17/2) + (-2*q^(21/2) - 2*q^(19/2) - 6*q^(17/2) - 6*q^(15/2) - 17*q^(13/2) - 21*q^(11/2) - 29*q^(9/2) - 16*q^(7/2) - 12*q^(5/2) + 8*q^(3/2) + 3*q^(1/2) + 2*q^(-3/2) + 2*q^(-5/2))*x1^(-5/2)*x2^(-17/2) + (2*q^(29/2) + 2*q^(27/2) + 4*q^(25/2) + 10*q^(23/2) + 14*q^(21/2) + 26*q^(19/2) + 42*q^(17/2) + 52*q^(15/2) + 48*q^(13/2) + 38*q^(11/2) + 6*q^(9/2) - 4*q^(5/2))*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) - 31*q^(25/2) - 49*q^(23/2) - 58*q^(21/2) - 66*q^(19/2) - 41*q^(17/2) - 28*q^(15/2) - 9*q^(13/2) + q^(9/2))*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) + 36*q^(27/2) + 36*q^(25/2) + 30*q^(23/2) + 20*q^(21/2) + 8*q^(19/2) + 4*q^(17/2))*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) + 6*q^(-3/2) + 6*q^(-9/2) + 4*q^(-11/2) + 2*q^(-13/2) - 2*q^(-15/2))*x1^(-1/2)*x2^(-19/2) + (2*q^(13/2) + 4*q^(11/2) + 6*q^(9/2) + 6*q^(7/2) + 6*q^(5/2) + 6*q^(3/2) + 6*q^(1/2) - 10*q^(-1/2) - 2*q^(-3/2) - 8*q^(-5/2) - 15*q^(-7/2) - 8*q^(-9/2) - 2*q^(-11/2) + q^(-13/2))*x1^(-3/2)*x2^(-19/2) + (-2*q^(25/2) - 2*q^(23/2) - 6*q^(21/2) - 6*q^(19/2) - 12*q^(17/2) - 16*q^(15/2) - 32*q^(13/2) - 30*q^(11/2) - 32*q^(9/2) - 12*q^(7/2) - 10*q^(5/2) + 12*q^(3/2) + 6*q^(1/2) + 6*q^(-1/2) + 14*q^(-3/2) + 10*q^(-5/2) + 4*q^(-7/2))*x1^(-5/2)*x2^(-19/2) + (2*q^(35/2) + 2*q^(33/2) + 4*q^(31/2) + 8*q^(29/2) + 12*q^(27/2) + 18*q^(25/2) + 34*q^(23/2) + 44*q^(21/2) + 70*q^(19/2) + 84*q^(17/2) + 84*q^(15/2) + 56*q^(13/2) + 36*q^(11/2) - 4*q^(9/2) - 4*q^(7/2) - 6*q^(5/2) - 3*q^(3/2) - 4*q^(1/2) - 4*q^(-1/2) - q^(-3/2))*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) - 20*q^(33/2) - 38*q^(31/2) - 54*q^(29/2) - 90*q^(27/2) - 114*q^(25/2) - 136*q^(23/2) - 128*q^(21/2) - 112*q^(19/2) - 54*q^(17/2) - 28*q^(15/2) - 2*q^(13/2) + 4*q^(11/2) + 2*q^(9/2))*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) + 50*q^(37/2) + 70*q^(35/2) + 102*q^(33/2) + 122*q^(31/2) + 140*q^(29/2) + 114*q^(27/2) + 98*q^(25/2) + 62*q^(23/2) + 34*q^(21/2) + 8*q^(19/2) + 4*q^(17/2) - 2*q^(15/2))*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) - 62*q^(39/2) - 70*q^(37/2) - 68*q^(35/2) - 62*q^(33/2) - 44*q^(31/2) - 30*q^(29/2) - 16*q^(27/2) - 8*q^(25/2) - 2*q^(23/2))*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, -1, -1, 2, 2, -1, 2, 2]`	2	9	3

Multivariable Alexander polynomial

Δ_L
`A1^(1/2)A2^(5/2) - 2A1^(1/2)A2^(3/2) + 2A1^(1/2)A2^(1/2) - 2A1^(1/2)A2^(-1/2) + 2A1^(1/2)A2^(-3/2) + 2A1^(-1/2)A2^(3/2) - 2A1^(-1/2)A2^(1/2) + 2A1^(-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) + 4m^(-2)A1^(-1)A2^(-1) + 5m^(-2)A2^(-2) + 4m^(-1)A1^(-1) + 8m^(-1)A2^(-1) + 2m^(-1)A1A2^(-2) + 4A1^(-1)A2 + 8 + 4A1A2^(-1) + 2mA1^(-1)A2^2 + 8mA2 + 4mA1 + 5m^2A2^2 + 4m^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)`	`82`
`namestring`	`L9a12{1}`
`statusstring`	`success`
`slugstring`	`L9a12_1_a74ef66f`
`result_filestring`	`details/L9a12_1_a74ef66f.json`
`complexity_scoreOption(int)`	`162`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`9`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`72`
`wall_secondsOption(float)`	`0.002872`
`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": "L9a12_1_a74ef66f" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L9a12_1_a74ef66f`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions