L9a32{1} - HFL and FL

details/L9a32_1_83d5a15a.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^(3/2)`	`{"0": [-1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1], "1": [1, -1, 1, -1, 1, -1]}`	(-q^(3/2))x1x2^(2) + (-3q^(3/2))x1x2^(3) + (3q^(5/2))x1^(2)x2^(3) + (-6q^(3/2))x1x2^(4) + (3q^(7/2) + 9q^(5/2) + q^(3/2))x1^(2)x2^(4) + (-3q^(9/2) - 3q^(7/2))x1^(3)x2^(4) + (-10q^(3/2) + q^(-1/2))x1x2^(5) + (3q^(9/2) + 9q^(7/2) + 21q^(5/2) + 3q^(3/2))x1^(2)x2^(5) + (-3q^(13/2) - 3q^(11/2) - 15q^(9/2) - 12q^(7/2) - 3q^(5/2))x1^(3)x2^(5) + (3q^(15/2) - q^(13/2) + 6q^(11/2) + q^(9/2))x1^(4)x2^(5) + (-15q^(3/2) + 3q^(-1/2) + 3q^(-3/2))x1x2^(6) + (3q^(11/2) + 9q^(9/2) + 21q^(7/2) + 39q^(5/2) + 9q^(3/2) - 3q^(1/2) - 3q^(-1/2))x1^(2)x2^(6) + (-3q^(17/2) - 3q^(15/2) - 12q^(13/2) - 21q^(11/2) - 45q^(9/2) - 36q^(7/2) - 12q^(5/2))x1^(3)x2^(6) + (3q^(21/2) + 3q^(19/2) + 3q^(17/2) + 12q^(15/2) + 12q^(13/2) + 27q^(11/2) + 12q^(9/2) + 3q^(7/2))x1^(4)x2^(6) + (-3q^(23/2) + 3q^(19/2) - 3q^(17/2) - 3q^(15/2) - 3q^(13/2))x1^(5)x2^(6) + (-21q^(3/2) + 6q^(-1/2) + 9q^(-3/2) + 6q^(-5/2))x1x2^(7) + (3q^(13/2) + 9q^(11/2) + 21q^(9/2) + 39q^(7/2) + 66q^(5/2) + 16q^(3/2) - 9q^(1/2) - 18q^(-1/2) - 9q^(-3/2) - q^(-5/2))x1^(2)x2^(7) + (-3q^(21/2) - 3q^(19/2) - 12q^(17/2) - 15q^(15/2) - 45q^(13/2) - 66q^(11/2) - 111q^(9/2) - 87q^(7/2) - 33q^(5/2) + 3q^(3/2) + 9q^(1/2) + 3q^(-1/2))x1^(3)x2^(7) + (3q^(27/2) + 3q^(25/2) + 6q^(23/2) + 12q^(21/2) + 21q^(19/2) + 21q^(17/2) + 60q^(15/2) + 69q^(13/2) + 96q^(11/2) + 51q^(9/2) + 18q^(7/2))x1^(4)x2^(7) + (-3q^(31/2) - 3q^(29/2) - 3q^(27/2) - 3q^(25/2) - 12q^(23/2) + 3q^(21/2) - 3q^(19/2) - 26q^(17/2) - 33q^(15/2) - 24q^(13/2) - 9q^(11/2) - q^(9/2))x1^(5)x2^(7) + (3q^(33/2) - 3q^(27/2) - 9q^(23/2) + 3q^(21/2) + 3q^(19/2) + 3q^(17/2))x1^(6)x2^(7) + (-28q^(3/2) + 10q^(-1/2) + 18q^(-3/2) + 18q^(-5/2) + 10q^(-7/2) - q^(-11/2))x1x2^(8) + (3q^(15/2) + 9q^(13/2) + 21q^(11/2) + 39q^(9/2) + 66q^(7/2) + 99q^(5/2) + 24q^(3/2) - 27q^(1/2) - 54q^(-1/2) - 48q^(-3/2) - 21q^(-5/2) - 3q^(-7/2))x1^(2)x2^(8) + (-3q^(25/2) - 3q^(23/2) - 12q^(21/2) - 15q^(19/2) - 36q^(17/2) - 57q^(15/2) - 120q^(13/2) - 165q^(11/2) - 231q^(9/2) - 180q^(7/2) - 69q^(5/2) + 24q^(3/2) + 51q^(1/2) + 39q^(-1/2) + 12q^(-3/2) + 3q^(-5/2))x1^(3)x2^(8) + (3q^(33/2) + 3q^(31/2) + 6q^(29/2) + 15q^(27/2) + 18q^(25/2) + 33q^(23/2) + 54q^(21/2) + 80q^(19/2) + 117q^(17/2) + 214q^(15/2) + 248q^(13/2) + 273q^(11/2) + 164q^(9/2) + 57q^(7/2) - 7q^(5/2) - 15q^(3/2) - 9q^(1/2) - q^(-1/2))x1^(4)x2^(8) + (-3q^(39/2) - 3q^(37/2) - 6q^(35/2) - 6q^(33/2) - 15q^(31/2) - 21q^(29/2) - 21q^(27/2) - 24q^(25/2) - 39q^(23/2) - 33q^(21/2) - 81q^(19/2) - 156q^(17/2) - 165q^(15/2) - 120q^(13/2) - 57q^(11/2) - 12q^(9/2))x1^(5)x2^(8) + (3q^(43/2) + 3q^(41/2) + 3q^(39/2) + 3q^(37/2) + 3q^(35/2) + 12q^(33/2) + 3q^(31/2) - 12q^(29/2) - 21q^(27/2) - 12q^(25/2) - 9q^(23/2) + 39q^(21/2) + 45q^(19/2) + 33q^(17/2) + 12q^(15/2) + 3q^(13/2))x1^(6)x2^(8) + (-3q^(45/2) + 3q^(37/2) - 4q^(35/2) + 9q^(33/2) + 16q^(31/2) + 9q^(29/2) + 3q^(27/2) + q^(25/2) - 6q^(23/2) - q^(21/2))x1^(7)x2^(8) + (-36q^(3/2) + 15q^(-1/2) + 30q^(-3/2) + 36q^(-5/2) + 30q^(-7/2) + 15q^(-9/2) - 3q^(-11/2) - 3q^(-13/2) - 3q^(-15/2))x1x2^(9) + (3q^(17/2) + 9q^(15/2) + 21q^(13/2) + 39q^(11/2) + 66q^(9/2) + 99q^(7/2) + 138q^(5/2) + 24q^(3/2) - 66q^(1/2) - 132q^(-1/2) - 141q^(-3/2) - 102q^(-5/2) - 42q^(-7/2) - 3q^(-9/2) + 3q^(-11/2) + 3q^(-13/2))x1^(2)x2^(9) + (-3q^(29/2) - 3q^(27/2) - 12q^(25/2) - 15q^(23/2) - 36q^(21/2) - 45q^(19/2) - 102q^(17/2) - 153q^(15/2) - 270q^(13/2) - 342q^(11/2) - 429q^(9/2) - 318q^(7/2) - 105q^(5/2) + 102q^(3/2) + 198q^(1/2) + 186q^(-1/2) + 111q^(-3/2) + 39q^(-5/2) + 9q^(-7/2))x1^(3)x2^(9) + (3q^(39/2) + 3q^(37/2) + 6q^(35/2) + 15q^(33/2) + 21q^(31/2) + 30q^(29/2) + 60q^(27/2) + 75q^(25/2) + 129q^(23/2) + 183q^(21/2) + 291q^(19/2) + 411q^(17/2) + 621q^(15/2) + 681q^(13/2) + 675q^(11/2) + 405q^(9/2) + 132q^(7/2) - 72q^(5/2) - 120q^(3/2) - 93q^(1/2) - 42q^(-1/2) - 12q^(-3/2) - 3q^(-5/2))x1^(4)x2^(9) + (-3q^(47/2) - 3q^(45/2) - 6q^(43/2) - 9q^(41/2) - 18q^(39/2) - 21q^(37/2) - 39q^(35/2) - 42q^(33/2) - 72q^(31/2) - 90q^(29/2) - 111q^(27/2) - 123q^(25/2) - 207q^(23/2) - 285q^(21/2) - 468q^(19/2) - 627q^(17/2) - 621q^(15/2) - 441q^(13/2) - 222q^(11/2) - 51q^(9/2) + 21q^(7/2) + 24q^(5/2) + 12q^(3/2) + 3q^(1/2))x1^(5)x2^(9) + (3q^(53/2) + 3q^(51/2) + 6q^(49/2) + 6q^(47/2) + 9q^(45/2) + 15q^(43/2) + 24q^(41/2) + 21q^(39/2) + 27q^(37/2) + 21q^(35/2) + 39q^(33/2) - 12q^(31/2) - 39q^(29/2) - 45q^(27/2) + 57q^(25/2) + 144q^(23/2) + 285q^(21/2) + 279q^(19/2) + 210q^(17/2) + 96q^(15/2) + 36q^(13/2) + 3q^(11/2))x1^(6)x2^(9) + (-3q^(57/2) - 3q^(55/2) - 3q^(53/2) - 3q^(51/2) - 3q^(49/2) - 3q^(47/2) - 12q^(45/2) - 3q^(43/2) + 12q^(39/2) + 24q^(37/2) + 42q^(35/2) + 87q^(33/2) + 93q^(31/2) + 33q^(29/2) - 21q^(27/2) - 51q^(25/2) - 57q^(23/2) - 33q^(21/2) - 12q^(19/2) - 3q^(17/2))x1^(7)x2^(9) + (3q^(59/2) - 3q^(49/2) + 3q^(47/2) - 6q^(43/2) - 15q^(41/2) - 15q^(39/2) - 27q^(37/2) - 18q^(35/2) - 12q^(33/2) + 3q^(31/2) + 3q^(29/2) + 3q^(27/2))x1^(8)*x2^(9)
`(-1, -2)`	`(1, 1)`	`x1^(1)x2^(2)`	`q^(3/2)`	`{"0": [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], "1": [1, -1, 1, -1, 1, -1]}`	(-q^(3/2))x1x2^(2) + (-3q^(3/2))x1x2^(3) + (3q^(5/2))x1^(2)x2^(3) + (-6q^(3/2))x1x2^(4) + (3q^(7/2) + 9q^(5/2) + q^(3/2))x1^(2)x2^(4) + (-3q^(9/2) - 3q^(7/2))x1^(3)x2^(4) + (-10q^(3/2) + q^(-1/2))x1x2^(5) + (3q^(9/2) + 9q^(7/2) + 21q^(5/2) + 3q^(3/2))x1^(2)x2^(5) + (-3q^(13/2) - 3q^(11/2) - 15q^(9/2) - 12q^(7/2) - 3q^(5/2))x1^(3)x2^(5) + (3q^(15/2) - q^(13/2) + 6q^(11/2) + q^(9/2))x1^(4)x2^(5) + (-15q^(3/2) + 3q^(-1/2) + 3q^(-3/2))x1x2^(6) + (3q^(11/2) + 9q^(9/2) + 21q^(7/2) + 39q^(5/2) + 9q^(3/2) - 3q^(1/2) - 3q^(-1/2))x1^(2)x2^(6) + (-3q^(17/2) - 3q^(15/2) - 12q^(13/2) - 21q^(11/2) - 45q^(9/2) - 36q^(7/2) - 12q^(5/2))x1^(3)x2^(6) + (3q^(21/2) + 3q^(19/2) + 3q^(17/2) + 12q^(15/2) + 12q^(13/2) + 27q^(11/2) + 12q^(9/2) + 3q^(7/2))x1^(4)x2^(6) + (-3q^(23/2) + 3q^(19/2) - 3q^(17/2) - 3q^(15/2) - 3q^(13/2))x1^(5)x2^(6) + (-21q^(3/2) + 6q^(-1/2) + 9q^(-3/2) + 6q^(-5/2))x1x2^(7) + (3q^(13/2) + 9q^(11/2) + 21q^(9/2) + 39q^(7/2) + 66q^(5/2) + 16q^(3/2) - 9q^(1/2) - 18q^(-1/2) - 9q^(-3/2) - q^(-5/2))x1^(2)x2^(7) + (-3q^(21/2) - 3q^(19/2) - 12q^(17/2) - 15q^(15/2) - 45q^(13/2) - 66q^(11/2) - 111q^(9/2) - 87q^(7/2) - 33q^(5/2) + 3q^(3/2) + 9q^(1/2) + 3q^(-1/2))x1^(3)x2^(7) + (3q^(27/2) + 3q^(25/2) + 6q^(23/2) + 12q^(21/2) + 21q^(19/2) + 21q^(17/2) + 60q^(15/2) + 69q^(13/2) + 96q^(11/2) + 51q^(9/2) + 18q^(7/2))x1^(4)x2^(7) + (-3q^(31/2) - 3q^(29/2) - 3q^(27/2) - 3q^(25/2) - 12q^(23/2) + 3q^(21/2) - 3q^(19/2) - 26q^(17/2) - 33q^(15/2) - 24q^(13/2) - 9q^(11/2) - q^(9/2))x1^(5)x2^(7) + (3q^(33/2) - 3q^(27/2) - 9q^(23/2) + 3q^(21/2) + 3q^(19/2) + 3q^(17/2))x1^(6)x2^(7) + (-28q^(3/2) + 10q^(-1/2) + 18q^(-3/2) + 18q^(-5/2) + 10q^(-7/2) - q^(-11/2))x1x2^(8) + (3q^(15/2) + 9q^(13/2) + 21q^(11/2) + 39q^(9/2) + 66q^(7/2) + 99q^(5/2) + 24q^(3/2) - 27q^(1/2) - 54q^(-1/2) - 48q^(-3/2) - 21q^(-5/2) - 3q^(-7/2))x1^(2)x2^(8) + (-3q^(25/2) - 3q^(23/2) - 12q^(21/2) - 15q^(19/2) - 36q^(17/2) - 57q^(15/2) - 120q^(13/2) - 165q^(11/2) - 231q^(9/2) - 180q^(7/2) - 69q^(5/2) + 24q^(3/2) + 51q^(1/2) + 39q^(-1/2) + 12q^(-3/2) + 3q^(-5/2))x1^(3)x2^(8) + (3q^(33/2) + 3q^(31/2) + 6q^(29/2) + 15q^(27/2) + 18q^(25/2) + 33q^(23/2) + 54q^(21/2) + 80q^(19/2) + 117q^(17/2) + 214q^(15/2) + 248q^(13/2) + 273q^(11/2) + 164q^(9/2) + 57q^(7/2) - 7q^(5/2) - 15q^(3/2) - 9q^(1/2) - q^(-1/2))x1^(4)x2^(8) + (-3q^(39/2) - 3q^(37/2) - 6q^(35/2) - 6q^(33/2) - 15q^(31/2) - 21q^(29/2) - 21q^(27/2) - 24q^(25/2) - 39q^(23/2) - 33q^(21/2) - 81q^(19/2) - 156q^(17/2) - 165q^(15/2) - 120q^(13/2) - 57q^(11/2) - 12q^(9/2))x1^(5)x2^(8) + (3q^(43/2) + 3q^(41/2) + 3q^(39/2) + 3q^(37/2) + 3q^(35/2) + 12q^(33/2) + 3q^(31/2) - 12q^(29/2) - 21q^(27/2) - 12q^(25/2) - 9q^(23/2) + 39q^(21/2) + 45q^(19/2) + 33q^(17/2) + 12q^(15/2) + 3q^(13/2))x1^(6)x2^(8) + (-3q^(45/2) + 3q^(37/2) - 4q^(35/2) + 9q^(33/2) + 16q^(31/2) + 9q^(29/2) + 3q^(27/2) + q^(25/2) - 6q^(23/2) - q^(21/2))x1^(7)x2^(8) + (-36q^(3/2) + 15q^(-1/2) + 30q^(-3/2) + 36q^(-5/2) + 30q^(-7/2) + 15q^(-9/2) - 3q^(-11/2) - 3q^(-13/2) - 3q^(-15/2))x1x2^(9) + (3q^(17/2) + 9q^(15/2) + 21q^(13/2) + 39q^(11/2) + 66q^(9/2) + 99q^(7/2) + 138q^(5/2) + 24q^(3/2) - 66q^(1/2) - 132q^(-1/2) - 141q^(-3/2) - 102q^(-5/2) - 42q^(-7/2) - 3q^(-9/2) + 3q^(-11/2) + 3q^(-13/2))x1^(2)x2^(9) + (-3q^(29/2) - 3q^(27/2) - 12q^(25/2) - 15q^(23/2) - 36q^(21/2) - 45q^(19/2) - 102q^(17/2) - 153q^(15/2) - 270q^(13/2) - 342q^(11/2) - 429q^(9/2) - 318q^(7/2) - 105q^(5/2) + 102q^(3/2) + 198q^(1/2) + 186q^(-1/2) + 111q^(-3/2) + 39q^(-5/2) + 9q^(-7/2))x1^(3)x2^(9) + (3q^(39/2) + 3q^(37/2) + 6q^(35/2) + 15q^(33/2) + 21q^(31/2) + 30q^(29/2) + 60q^(27/2) + 75q^(25/2) + 129q^(23/2) + 183q^(21/2) + 291q^(19/2) + 411q^(17/2) + 621q^(15/2) + 681q^(13/2) + 675q^(11/2) + 405q^(9/2) + 132q^(7/2) - 72q^(5/2) - 120q^(3/2) - 93q^(1/2) - 42q^(-1/2) - 12q^(-3/2) - 3q^(-5/2))x1^(4)x2^(9) + (-3q^(47/2) - 3q^(45/2) - 6q^(43/2) - 9q^(41/2) - 18q^(39/2) - 21q^(37/2) - 39q^(35/2) - 42q^(33/2) - 72q^(31/2) - 90q^(29/2) - 111q^(27/2) - 123q^(25/2) - 207q^(23/2) - 285q^(21/2) - 468q^(19/2) - 627q^(17/2) - 621q^(15/2) - 441q^(13/2) - 222q^(11/2) - 51q^(9/2) + 21q^(7/2) + 24q^(5/2) + 12q^(3/2) + 3q^(1/2))x1^(5)x2^(9) + (3q^(53/2) + 3q^(51/2) + 6q^(49/2) + 6q^(47/2) + 9q^(45/2) + 15q^(43/2) + 24q^(41/2) + 21q^(39/2) + 27q^(37/2) + 21q^(35/2) + 39q^(33/2) - 12q^(31/2) - 39q^(29/2) - 45q^(27/2) + 57q^(25/2) + 144q^(23/2) + 285q^(21/2) + 279q^(19/2) + 210q^(17/2) + 96q^(15/2) + 36q^(13/2) + 3q^(11/2))x1^(6)x2^(9) + (-3q^(57/2) - 3q^(55/2) - 3q^(53/2) - 3q^(51/2) - 3q^(49/2) - 3q^(47/2) - 12q^(45/2) - 3q^(43/2) + 12q^(39/2) + 24q^(37/2) + 42q^(35/2) + 87q^(33/2) + 93q^(31/2) + 33q^(29/2) - 21q^(27/2) - 51q^(25/2) - 57q^(23/2) - 33q^(21/2) - 12q^(19/2) - 3q^(17/2))x1^(7)x2^(9) + (3q^(59/2) - 3q^(49/2) + 3q^(47/2) - 6q^(43/2) - 15q^(41/2) - 15q^(39/2) - 27q^(37/2) - 18q^(35/2) - 12q^(33/2) + 3q^(31/2) + 3q^(29/2) + 3q^(27/2))x1^(8)*x2^(9)
`(1, 2)`		`x1^(-1)x2^(-2)`	`q^(3/2)`		(-q^(3/2))x1^(-1)x2^(-2) + (-3q^(3/2))x1^(-1)x2^(-3) + (3q^(5/2))x1^(-2)x2^(-3) + (-6q^(3/2))x1^(-1)x2^(-4) + (3q^(7/2) + 9q^(5/2) + q^(3/2))x1^(-2)x2^(-4) + (-3q^(9/2) - 3q^(7/2))x1^(-3)x2^(-4) + (-10q^(3/2) + q^(-1/2))x1^(-1)x2^(-5) + (3q^(9/2) + 9q^(7/2) + 21q^(5/2) + 3q^(3/2))x1^(-2)x2^(-5) + (-3q^(13/2) - 3q^(11/2) - 15q^(9/2) - 12q^(7/2) - 3q^(5/2))x1^(-3)x2^(-5) + (3q^(15/2) - q^(13/2) + 6q^(11/2) + q^(9/2))x1^(-4)x2^(-5) + (-15q^(3/2) + 3q^(-1/2) + 3q^(-3/2))x1^(-1)x2^(-6) + (3q^(11/2) + 9q^(9/2) + 21q^(7/2) + 39q^(5/2) + 9q^(3/2) - 3q^(1/2) - 3q^(-1/2))x1^(-2)x2^(-6) + (-3q^(17/2) - 3q^(15/2) - 12q^(13/2) - 21q^(11/2) - 45q^(9/2) - 36q^(7/2) - 12q^(5/2))x1^(-3)x2^(-6) + (3q^(21/2) + 3q^(19/2) + 3q^(17/2) + 12q^(15/2) + 12q^(13/2) + 27q^(11/2) + 12q^(9/2) + 3q^(7/2))x1^(-4)x2^(-6) + (-3q^(23/2) + 3q^(19/2) - 3q^(17/2) - 3q^(15/2) - 3q^(13/2))x1^(-5)x2^(-6) + (-21q^(3/2) + 6q^(-1/2) + 9q^(-3/2) + 6q^(-5/2))x1^(-1)x2^(-7) + (3q^(13/2) + 9q^(11/2) + 21q^(9/2) + 39q^(7/2) + 66q^(5/2) + 16q^(3/2) - 9q^(1/2) - 18q^(-1/2) - 9q^(-3/2) - q^(-5/2))x1^(-2)x2^(-7) + (-3q^(21/2) - 3q^(19/2) - 12q^(17/2) - 15q^(15/2) - 45q^(13/2) - 66q^(11/2) - 111q^(9/2) - 87q^(7/2) - 33q^(5/2) + 3q^(3/2) + 9q^(1/2) + 3q^(-1/2))x1^(-3)x2^(-7) + (3q^(27/2) + 3q^(25/2) + 6q^(23/2) + 12q^(21/2) + 21q^(19/2) + 21q^(17/2) + 60q^(15/2) + 69q^(13/2) + 96q^(11/2) + 51q^(9/2) + 18q^(7/2))x1^(-4)x2^(-7) + (-3q^(31/2) - 3q^(29/2) - 3q^(27/2) - 3q^(25/2) - 12q^(23/2) + 3q^(21/2) - 3q^(19/2) - 26q^(17/2) - 33q^(15/2) - 24q^(13/2) - 9q^(11/2) - q^(9/2))x1^(-5)x2^(-7) + (3q^(33/2) - 3q^(27/2) - 9q^(23/2) + 3q^(21/2) + 3q^(19/2) + 3q^(17/2))x1^(-6)x2^(-7) + (-28q^(3/2) + 10q^(-1/2) + 18q^(-3/2) + 18q^(-5/2) + 10q^(-7/2) - q^(-11/2))x1^(-1)x2^(-8) + (3q^(15/2) + 9q^(13/2) + 21q^(11/2) + 39q^(9/2) + 66q^(7/2) + 99q^(5/2) + 24q^(3/2) - 27q^(1/2) - 54q^(-1/2) - 48q^(-3/2) - 21q^(-5/2) - 3q^(-7/2))x1^(-2)x2^(-8) + (-3q^(25/2) - 3q^(23/2) - 12q^(21/2) - 15q^(19/2) - 36q^(17/2) - 57q^(15/2) - 120q^(13/2) - 165q^(11/2) - 231q^(9/2) - 180q^(7/2) - 69q^(5/2) + 24q^(3/2) + 51q^(1/2) + 39q^(-1/2) + 12q^(-3/2) + 3q^(-5/2))x1^(-3)x2^(-8) + (3q^(33/2) + 3q^(31/2) + 6q^(29/2) + 15q^(27/2) + 18q^(25/2) + 33q^(23/2) + 54q^(21/2) + 80q^(19/2) + 117q^(17/2) + 214q^(15/2) + 248q^(13/2) + 273q^(11/2) + 164q^(9/2) + 57q^(7/2) - 7q^(5/2) - 15q^(3/2) - 9q^(1/2) - q^(-1/2))x1^(-4)x2^(-8) + (-3q^(39/2) - 3q^(37/2) - 6q^(35/2) - 6q^(33/2) - 15q^(31/2) - 21q^(29/2) - 21q^(27/2) - 24q^(25/2) - 39q^(23/2) - 33q^(21/2) - 81q^(19/2) - 156q^(17/2) - 165q^(15/2) - 120q^(13/2) - 57q^(11/2) - 12q^(9/2))x1^(-5)x2^(-8) + (3q^(43/2) + 3q^(41/2) + 3q^(39/2) + 3q^(37/2) + 3q^(35/2) + 12q^(33/2) + 3q^(31/2) - 12q^(29/2) - 21q^(27/2) - 12q^(25/2) - 9q^(23/2) + 39q^(21/2) + 45q^(19/2) + 33q^(17/2) + 12q^(15/2) + 3q^(13/2))x1^(-6)x2^(-8) + (-3q^(45/2) + 3q^(37/2) - 4q^(35/2) + 9q^(33/2) + 16q^(31/2) + 9q^(29/2) + 3q^(27/2) + q^(25/2) - 6q^(23/2) - q^(21/2))x1^(-7)x2^(-8) + (-36q^(3/2) + 15q^(-1/2) + 30q^(-3/2) + 36q^(-5/2) + 30q^(-7/2) + 15q^(-9/2) - 3q^(-11/2) - 3q^(-13/2) - 3q^(-15/2))x1^(-1)x2^(-9) + (3q^(17/2) + 9q^(15/2) + 21q^(13/2) + 39q^(11/2) + 66q^(9/2) + 99q^(7/2) + 138q^(5/2) + 24q^(3/2) - 66q^(1/2) - 132q^(-1/2) - 141q^(-3/2) - 102q^(-5/2) - 42q^(-7/2) - 3q^(-9/2) + 3q^(-11/2) + 3q^(-13/2))x1^(-2)x2^(-9) + (-3q^(29/2) - 3q^(27/2) - 12q^(25/2) - 15q^(23/2) - 36q^(21/2) - 45q^(19/2) - 102q^(17/2) - 153q^(15/2) - 270q^(13/2) - 342q^(11/2) - 429q^(9/2) - 318q^(7/2) - 105q^(5/2) + 102q^(3/2) + 198q^(1/2) + 186q^(-1/2) + 111q^(-3/2) + 39q^(-5/2) + 9q^(-7/2))x1^(-3)x2^(-9) + (3q^(39/2) + 3q^(37/2) + 6q^(35/2) + 15q^(33/2) + 21q^(31/2) + 30q^(29/2) + 60q^(27/2) + 75q^(25/2) + 129q^(23/2) + 183q^(21/2) + 291q^(19/2) + 411q^(17/2) + 621q^(15/2) + 681q^(13/2) + 675q^(11/2) + 405q^(9/2) + 132q^(7/2) - 72q^(5/2) - 120q^(3/2) - 93q^(1/2) - 42q^(-1/2) - 12q^(-3/2) - 3q^(-5/2))x1^(-4)x2^(-9) + (-3q^(47/2) - 3q^(45/2) - 6q^(43/2) - 9q^(41/2) - 18q^(39/2) - 21q^(37/2) - 39q^(35/2) - 42q^(33/2) - 72q^(31/2) - 90q^(29/2) - 111q^(27/2) - 123q^(25/2) - 207q^(23/2) - 285q^(21/2) - 468q^(19/2) - 627q^(17/2) - 621q^(15/2) - 441q^(13/2) - 222q^(11/2) - 51q^(9/2) + 21q^(7/2) + 24q^(5/2) + 12q^(3/2) + 3q^(1/2))x1^(-5)x2^(-9) + (3q^(53/2) + 3q^(51/2) + 6q^(49/2) + 6q^(47/2) + 9q^(45/2) + 15q^(43/2) + 24q^(41/2) + 21q^(39/2) + 27q^(37/2) + 21q^(35/2) + 39q^(33/2) - 12q^(31/2) - 39q^(29/2) - 45q^(27/2) + 57q^(25/2) + 144q^(23/2) + 285q^(21/2) + 279q^(19/2) + 210q^(17/2) + 96q^(15/2) + 36q^(13/2) + 3q^(11/2))x1^(-6)x2^(-9) + (-3q^(57/2) - 3q^(55/2) - 3q^(53/2) - 3q^(51/2) - 3q^(49/2) - 3q^(47/2) - 12q^(45/2) - 3q^(43/2) + 12q^(39/2) + 24q^(37/2) + 42q^(35/2) + 87q^(33/2) + 93q^(31/2) + 33q^(29/2) - 21q^(27/2) - 51q^(25/2) - 57q^(23/2) - 33q^(21/2) - 12q^(19/2) - 3q^(17/2))x1^(-7)x2^(-9) + (3q^(59/2) - 3q^(49/2) + 3q^(47/2) - 6q^(43/2) - 15q^(41/2) - 15q^(39/2) - 27q^(37/2) - 18q^(35/2) - 12q^(33/2) + 3q^(31/2) + 3q^(29/2) + 3q^(27/2))x1^(-8)*x2^(-9)

(-1, -2)

(1, 1)

x1^(1)x2^(2)

q^(3/2)

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

(-q^(3/2))*x1*x2^(2) + (-3*q^(3/2))*x1*x2^(3) + (3*q^(5/2))*x1^(2)*x2^(3) + (-6*q^(3/2))*x1*x2^(4) + (3*q^(7/2) + 9*q^(5/2) + q^(3/2))*x1^(2)*x2^(4) + (-3*q^(9/2) - 3*q^(7/2))*x1^(3)*x2^(4) + (-10*q^(3/2) + q^(-1/2))*x1*x2^(5) + (3*q^(9/2) + 9*q^(7/2) + 21*q^(5/2) + 3*q^(3/2))*x1^(2)*x2^(5) + (-3*q^(13/2) - 3*q^(11/2) - 15*q^(9/2) - 12*q^(7/2) - 3*q^(5/2))*x1^(3)*x2^(5) + (3*q^(15/2) - q^(13/2) + 6*q^(11/2) + q^(9/2))*x1^(4)*x2^(5) + (-15*q^(3/2) + 3*q^(-1/2) + 3*q^(-3/2))*x1*x2^(6) + (3*q^(11/2) + 9*q^(9/2) + 21*q^(7/2) + 39*q^(5/2) + 9*q^(3/2) - 3*q^(1/2) - 3*q^(-1/2))*x1^(2)*x2^(6) + (-3*q^(17/2) - 3*q^(15/2) - 12*q^(13/2) - 21*q^(11/2) - 45*q^(9/2) - 36*q^(7/2) - 12*q^(5/2))*x1^(3)*x2^(6) + (3*q^(21/2) + 3*q^(19/2) + 3*q^(17/2) + 12*q^(15/2) + 12*q^(13/2) + 27*q^(11/2) + 12*q^(9/2) + 3*q^(7/2))*x1^(4)*x2^(6) + (-3*q^(23/2) + 3*q^(19/2) - 3*q^(17/2) - 3*q^(15/2) - 3*q^(13/2))*x1^(5)*x2^(6) + (-21*q^(3/2) + 6*q^(-1/2) + 9*q^(-3/2) + 6*q^(-5/2))*x1*x2^(7) + (3*q^(13/2) + 9*q^(11/2) + 21*q^(9/2) + 39*q^(7/2) + 66*q^(5/2) + 16*q^(3/2) - 9*q^(1/2) - 18*q^(-1/2) - 9*q^(-3/2) - q^(-5/2))*x1^(2)*x2^(7) + (-3*q^(21/2) - 3*q^(19/2) - 12*q^(17/2) - 15*q^(15/2) - 45*q^(13/2) - 66*q^(11/2) - 111*q^(9/2) - 87*q^(7/2) - 33*q^(5/2) + 3*q^(3/2) + 9*q^(1/2) + 3*q^(-1/2))*x1^(3)*x2^(7) + (3*q^(27/2) + 3*q^(25/2) + 6*q^(23/2) + 12*q^(21/2) + 21*q^(19/2) + 21*q^(17/2) + 60*q^(15/2) + 69*q^(13/2) + 96*q^(11/2) + 51*q^(9/2) + 18*q^(7/2))*x1^(4)*x2^(7) + (-3*q^(31/2) - 3*q^(29/2) - 3*q^(27/2) - 3*q^(25/2) - 12*q^(23/2) + 3*q^(21/2) - 3*q^(19/2) - 26*q^(17/2) - 33*q^(15/2) - 24*q^(13/2) - 9*q^(11/2) - q^(9/2))*x1^(5)*x2^(7) + (3*q^(33/2) - 3*q^(27/2) - 9*q^(23/2) + 3*q^(21/2) + 3*q^(19/2) + 3*q^(17/2))*x1^(6)*x2^(7) + (-28*q^(3/2) + 10*q^(-1/2) + 18*q^(-3/2) + 18*q^(-5/2) + 10*q^(-7/2) - q^(-11/2))*x1*x2^(8) + (3*q^(15/2) + 9*q^(13/2) + 21*q^(11/2) + 39*q^(9/2) + 66*q^(7/2) + 99*q^(5/2) + 24*q^(3/2) - 27*q^(1/2) - 54*q^(-1/2) - 48*q^(-3/2) - 21*q^(-5/2) - 3*q^(-7/2))*x1^(2)*x2^(8) + (-3*q^(25/2) - 3*q^(23/2) - 12*q^(21/2) - 15*q^(19/2) - 36*q^(17/2) - 57*q^(15/2) - 120*q^(13/2) - 165*q^(11/2) - 231*q^(9/2) - 180*q^(7/2) - 69*q^(5/2) + 24*q^(3/2) + 51*q^(1/2) + 39*q^(-1/2) + 12*q^(-3/2) + 3*q^(-5/2))*x1^(3)*x2^(8) + (3*q^(33/2) + 3*q^(31/2) + 6*q^(29/2) + 15*q^(27/2) + 18*q^(25/2) + 33*q^(23/2) + 54*q^(21/2) + 80*q^(19/2) + 117*q^(17/2) + 214*q^(15/2) + 248*q^(13/2) + 273*q^(11/2) + 164*q^(9/2) + 57*q^(7/2) - 7*q^(5/2) - 15*q^(3/2) - 9*q^(1/2) - q^(-1/2))*x1^(4)*x2^(8) + (-3*q^(39/2) - 3*q^(37/2) - 6*q^(35/2) - 6*q^(33/2) - 15*q^(31/2) - 21*q^(29/2) - 21*q^(27/2) - 24*q^(25/2) - 39*q^(23/2) - 33*q^(21/2) - 81*q^(19/2) - 156*q^(17/2) - 165*q^(15/2) - 120*q^(13/2) - 57*q^(11/2) - 12*q^(9/2))*x1^(5)*x2^(8) + (3*q^(43/2) + 3*q^(41/2) + 3*q^(39/2) + 3*q^(37/2) + 3*q^(35/2) + 12*q^(33/2) + 3*q^(31/2) - 12*q^(29/2) - 21*q^(27/2) - 12*q^(25/2) - 9*q^(23/2) + 39*q^(21/2) + 45*q^(19/2) + 33*q^(17/2) + 12*q^(15/2) + 3*q^(13/2))*x1^(6)*x2^(8) + (-3*q^(45/2) + 3*q^(37/2) - 4*q^(35/2) + 9*q^(33/2) + 16*q^(31/2) + 9*q^(29/2) + 3*q^(27/2) + q^(25/2) - 6*q^(23/2) - q^(21/2))*x1^(7)*x2^(8) + (-36*q^(3/2) + 15*q^(-1/2) + 30*q^(-3/2) + 36*q^(-5/2) + 30*q^(-7/2) + 15*q^(-9/2) - 3*q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2))*x1*x2^(9) + (3*q^(17/2) + 9*q^(15/2) + 21*q^(13/2) + 39*q^(11/2) + 66*q^(9/2) + 99*q^(7/2) + 138*q^(5/2) + 24*q^(3/2) - 66*q^(1/2) - 132*q^(-1/2) - 141*q^(-3/2) - 102*q^(-5/2) - 42*q^(-7/2) - 3*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2))*x1^(2)*x2^(9) + (-3*q^(29/2) - 3*q^(27/2) - 12*q^(25/2) - 15*q^(23/2) - 36*q^(21/2) - 45*q^(19/2) - 102*q^(17/2) - 153*q^(15/2) - 270*q^(13/2) - 342*q^(11/2) - 429*q^(9/2) - 318*q^(7/2) - 105*q^(5/2) + 102*q^(3/2) + 198*q^(1/2) + 186*q^(-1/2) + 111*q^(-3/2) + 39*q^(-5/2) + 9*q^(-7/2))*x1^(3)*x2^(9) + (3*q^(39/2) + 3*q^(37/2) + 6*q^(35/2) + 15*q^(33/2) + 21*q^(31/2) + 30*q^(29/2) + 60*q^(27/2) + 75*q^(25/2) + 129*q^(23/2) + 183*q^(21/2) + 291*q^(19/2) + 411*q^(17/2) + 621*q^(15/2) + 681*q^(13/2) + 675*q^(11/2) + 405*q^(9/2) + 132*q^(7/2) - 72*q^(5/2) - 120*q^(3/2) - 93*q^(1/2) - 42*q^(-1/2) - 12*q^(-3/2) - 3*q^(-5/2))*x1^(4)*x2^(9) + (-3*q^(47/2) - 3*q^(45/2) - 6*q^(43/2) - 9*q^(41/2) - 18*q^(39/2) - 21*q^(37/2) - 39*q^(35/2) - 42*q^(33/2) - 72*q^(31/2) - 90*q^(29/2) - 111*q^(27/2) - 123*q^(25/2) - 207*q^(23/2) - 285*q^(21/2) - 468*q^(19/2) - 627*q^(17/2) - 621*q^(15/2) - 441*q^(13/2) - 222*q^(11/2) - 51*q^(9/2) + 21*q^(7/2) + 24*q^(5/2) + 12*q^(3/2) + 3*q^(1/2))*x1^(5)*x2^(9) + (3*q^(53/2) + 3*q^(51/2) + 6*q^(49/2) + 6*q^(47/2) + 9*q^(45/2) + 15*q^(43/2) + 24*q^(41/2) + 21*q^(39/2) + 27*q^(37/2) + 21*q^(35/2) + 39*q^(33/2) - 12*q^(31/2) - 39*q^(29/2) - 45*q^(27/2) + 57*q^(25/2) + 144*q^(23/2) + 285*q^(21/2) + 279*q^(19/2) + 210*q^(17/2) + 96*q^(15/2) + 36*q^(13/2) + 3*q^(11/2))*x1^(6)*x2^(9) + (-3*q^(57/2) - 3*q^(55/2) - 3*q^(53/2) - 3*q^(51/2) - 3*q^(49/2) - 3*q^(47/2) - 12*q^(45/2) - 3*q^(43/2) + 12*q^(39/2) + 24*q^(37/2) + 42*q^(35/2) + 87*q^(33/2) + 93*q^(31/2) + 33*q^(29/2) - 21*q^(27/2) - 51*q^(25/2) - 57*q^(23/2) - 33*q^(21/2) - 12*q^(19/2) - 3*q^(17/2))*x1^(7)*x2^(9) + (3*q^(59/2) - 3*q^(49/2) + 3*q^(47/2) - 6*q^(43/2) - 15*q^(41/2) - 15*q^(39/2) - 27*q^(37/2) - 18*q^(35/2) - 12*q^(33/2) + 3*q^(31/2) + 3*q^(29/2) + 3*q^(27/2))*x1^(8)*x2^(9)

(-1, -2)

(1, 1)

x1^(1)x2^(2)

q^(3/2)

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

(-q^(3/2))*x1*x2^(2) + (-3*q^(3/2))*x1*x2^(3) + (3*q^(5/2))*x1^(2)*x2^(3) + (-6*q^(3/2))*x1*x2^(4) + (3*q^(7/2) + 9*q^(5/2) + q^(3/2))*x1^(2)*x2^(4) + (-3*q^(9/2) - 3*q^(7/2))*x1^(3)*x2^(4) + (-10*q^(3/2) + q^(-1/2))*x1*x2^(5) + (3*q^(9/2) + 9*q^(7/2) + 21*q^(5/2) + 3*q^(3/2))*x1^(2)*x2^(5) + (-3*q^(13/2) - 3*q^(11/2) - 15*q^(9/2) - 12*q^(7/2) - 3*q^(5/2))*x1^(3)*x2^(5) + (3*q^(15/2) - q^(13/2) + 6*q^(11/2) + q^(9/2))*x1^(4)*x2^(5) + (-15*q^(3/2) + 3*q^(-1/2) + 3*q^(-3/2))*x1*x2^(6) + (3*q^(11/2) + 9*q^(9/2) + 21*q^(7/2) + 39*q^(5/2) + 9*q^(3/2) - 3*q^(1/2) - 3*q^(-1/2))*x1^(2)*x2^(6) + (-3*q^(17/2) - 3*q^(15/2) - 12*q^(13/2) - 21*q^(11/2) - 45*q^(9/2) - 36*q^(7/2) - 12*q^(5/2))*x1^(3)*x2^(6) + (3*q^(21/2) + 3*q^(19/2) + 3*q^(17/2) + 12*q^(15/2) + 12*q^(13/2) + 27*q^(11/2) + 12*q^(9/2) + 3*q^(7/2))*x1^(4)*x2^(6) + (-3*q^(23/2) + 3*q^(19/2) - 3*q^(17/2) - 3*q^(15/2) - 3*q^(13/2))*x1^(5)*x2^(6) + (-21*q^(3/2) + 6*q^(-1/2) + 9*q^(-3/2) + 6*q^(-5/2))*x1*x2^(7) + (3*q^(13/2) + 9*q^(11/2) + 21*q^(9/2) + 39*q^(7/2) + 66*q^(5/2) + 16*q^(3/2) - 9*q^(1/2) - 18*q^(-1/2) - 9*q^(-3/2) - q^(-5/2))*x1^(2)*x2^(7) + (-3*q^(21/2) - 3*q^(19/2) - 12*q^(17/2) - 15*q^(15/2) - 45*q^(13/2) - 66*q^(11/2) - 111*q^(9/2) - 87*q^(7/2) - 33*q^(5/2) + 3*q^(3/2) + 9*q^(1/2) + 3*q^(-1/2))*x1^(3)*x2^(7) + (3*q^(27/2) + 3*q^(25/2) + 6*q^(23/2) + 12*q^(21/2) + 21*q^(19/2) + 21*q^(17/2) + 60*q^(15/2) + 69*q^(13/2) + 96*q^(11/2) + 51*q^(9/2) + 18*q^(7/2))*x1^(4)*x2^(7) + (-3*q^(31/2) - 3*q^(29/2) - 3*q^(27/2) - 3*q^(25/2) - 12*q^(23/2) + 3*q^(21/2) - 3*q^(19/2) - 26*q^(17/2) - 33*q^(15/2) - 24*q^(13/2) - 9*q^(11/2) - q^(9/2))*x1^(5)*x2^(7) + (3*q^(33/2) - 3*q^(27/2) - 9*q^(23/2) + 3*q^(21/2) + 3*q^(19/2) + 3*q^(17/2))*x1^(6)*x2^(7) + (-28*q^(3/2) + 10*q^(-1/2) + 18*q^(-3/2) + 18*q^(-5/2) + 10*q^(-7/2) - q^(-11/2))*x1*x2^(8) + (3*q^(15/2) + 9*q^(13/2) + 21*q^(11/2) + 39*q^(9/2) + 66*q^(7/2) + 99*q^(5/2) + 24*q^(3/2) - 27*q^(1/2) - 54*q^(-1/2) - 48*q^(-3/2) - 21*q^(-5/2) - 3*q^(-7/2))*x1^(2)*x2^(8) + (-3*q^(25/2) - 3*q^(23/2) - 12*q^(21/2) - 15*q^(19/2) - 36*q^(17/2) - 57*q^(15/2) - 120*q^(13/2) - 165*q^(11/2) - 231*q^(9/2) - 180*q^(7/2) - 69*q^(5/2) + 24*q^(3/2) + 51*q^(1/2) + 39*q^(-1/2) + 12*q^(-3/2) + 3*q^(-5/2))*x1^(3)*x2^(8) + (3*q^(33/2) + 3*q^(31/2) + 6*q^(29/2) + 15*q^(27/2) + 18*q^(25/2) + 33*q^(23/2) + 54*q^(21/2) + 80*q^(19/2) + 117*q^(17/2) + 214*q^(15/2) + 248*q^(13/2) + 273*q^(11/2) + 164*q^(9/2) + 57*q^(7/2) - 7*q^(5/2) - 15*q^(3/2) - 9*q^(1/2) - q^(-1/2))*x1^(4)*x2^(8) + (-3*q^(39/2) - 3*q^(37/2) - 6*q^(35/2) - 6*q^(33/2) - 15*q^(31/2) - 21*q^(29/2) - 21*q^(27/2) - 24*q^(25/2) - 39*q^(23/2) - 33*q^(21/2) - 81*q^(19/2) - 156*q^(17/2) - 165*q^(15/2) - 120*q^(13/2) - 57*q^(11/2) - 12*q^(9/2))*x1^(5)*x2^(8) + (3*q^(43/2) + 3*q^(41/2) + 3*q^(39/2) + 3*q^(37/2) + 3*q^(35/2) + 12*q^(33/2) + 3*q^(31/2) - 12*q^(29/2) - 21*q^(27/2) - 12*q^(25/2) - 9*q^(23/2) + 39*q^(21/2) + 45*q^(19/2) + 33*q^(17/2) + 12*q^(15/2) + 3*q^(13/2))*x1^(6)*x2^(8) + (-3*q^(45/2) + 3*q^(37/2) - 4*q^(35/2) + 9*q^(33/2) + 16*q^(31/2) + 9*q^(29/2) + 3*q^(27/2) + q^(25/2) - 6*q^(23/2) - q^(21/2))*x1^(7)*x2^(8) + (-36*q^(3/2) + 15*q^(-1/2) + 30*q^(-3/2) + 36*q^(-5/2) + 30*q^(-7/2) + 15*q^(-9/2) - 3*q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2))*x1*x2^(9) + (3*q^(17/2) + 9*q^(15/2) + 21*q^(13/2) + 39*q^(11/2) + 66*q^(9/2) + 99*q^(7/2) + 138*q^(5/2) + 24*q^(3/2) - 66*q^(1/2) - 132*q^(-1/2) - 141*q^(-3/2) - 102*q^(-5/2) - 42*q^(-7/2) - 3*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2))*x1^(2)*x2^(9) + (-3*q^(29/2) - 3*q^(27/2) - 12*q^(25/2) - 15*q^(23/2) - 36*q^(21/2) - 45*q^(19/2) - 102*q^(17/2) - 153*q^(15/2) - 270*q^(13/2) - 342*q^(11/2) - 429*q^(9/2) - 318*q^(7/2) - 105*q^(5/2) + 102*q^(3/2) + 198*q^(1/2) + 186*q^(-1/2) + 111*q^(-3/2) + 39*q^(-5/2) + 9*q^(-7/2))*x1^(3)*x2^(9) + (3*q^(39/2) + 3*q^(37/2) + 6*q^(35/2) + 15*q^(33/2) + 21*q^(31/2) + 30*q^(29/2) + 60*q^(27/2) + 75*q^(25/2) + 129*q^(23/2) + 183*q^(21/2) + 291*q^(19/2) + 411*q^(17/2) + 621*q^(15/2) + 681*q^(13/2) + 675*q^(11/2) + 405*q^(9/2) + 132*q^(7/2) - 72*q^(5/2) - 120*q^(3/2) - 93*q^(1/2) - 42*q^(-1/2) - 12*q^(-3/2) - 3*q^(-5/2))*x1^(4)*x2^(9) + (-3*q^(47/2) - 3*q^(45/2) - 6*q^(43/2) - 9*q^(41/2) - 18*q^(39/2) - 21*q^(37/2) - 39*q^(35/2) - 42*q^(33/2) - 72*q^(31/2) - 90*q^(29/2) - 111*q^(27/2) - 123*q^(25/2) - 207*q^(23/2) - 285*q^(21/2) - 468*q^(19/2) - 627*q^(17/2) - 621*q^(15/2) - 441*q^(13/2) - 222*q^(11/2) - 51*q^(9/2) + 21*q^(7/2) + 24*q^(5/2) + 12*q^(3/2) + 3*q^(1/2))*x1^(5)*x2^(9) + (3*q^(53/2) + 3*q^(51/2) + 6*q^(49/2) + 6*q^(47/2) + 9*q^(45/2) + 15*q^(43/2) + 24*q^(41/2) + 21*q^(39/2) + 27*q^(37/2) + 21*q^(35/2) + 39*q^(33/2) - 12*q^(31/2) - 39*q^(29/2) - 45*q^(27/2) + 57*q^(25/2) + 144*q^(23/2) + 285*q^(21/2) + 279*q^(19/2) + 210*q^(17/2) + 96*q^(15/2) + 36*q^(13/2) + 3*q^(11/2))*x1^(6)*x2^(9) + (-3*q^(57/2) - 3*q^(55/2) - 3*q^(53/2) - 3*q^(51/2) - 3*q^(49/2) - 3*q^(47/2) - 12*q^(45/2) - 3*q^(43/2) + 12*q^(39/2) + 24*q^(37/2) + 42*q^(35/2) + 87*q^(33/2) + 93*q^(31/2) + 33*q^(29/2) - 21*q^(27/2) - 51*q^(25/2) - 57*q^(23/2) - 33*q^(21/2) - 12*q^(19/2) - 3*q^(17/2))*x1^(7)*x2^(9) + (3*q^(59/2) - 3*q^(49/2) + 3*q^(47/2) - 6*q^(43/2) - 15*q^(41/2) - 15*q^(39/2) - 27*q^(37/2) - 18*q^(35/2) - 12*q^(33/2) + 3*q^(31/2) + 3*q^(29/2) + 3*q^(27/2))*x1^(8)*x2^(9)

(1, 2)

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

q^(3/2)

(-q^(3/2))*x1^(-1)*x2^(-2) + (-3*q^(3/2))*x1^(-1)*x2^(-3) + (3*q^(5/2))*x1^(-2)*x2^(-3) + (-6*q^(3/2))*x1^(-1)*x2^(-4) + (3*q^(7/2) + 9*q^(5/2) + q^(3/2))*x1^(-2)*x2^(-4) + (-3*q^(9/2) - 3*q^(7/2))*x1^(-3)*x2^(-4) + (-10*q^(3/2) + q^(-1/2))*x1^(-1)*x2^(-5) + (3*q^(9/2) + 9*q^(7/2) + 21*q^(5/2) + 3*q^(3/2))*x1^(-2)*x2^(-5) + (-3*q^(13/2) - 3*q^(11/2) - 15*q^(9/2) - 12*q^(7/2) - 3*q^(5/2))*x1^(-3)*x2^(-5) + (3*q^(15/2) - q^(13/2) + 6*q^(11/2) + q^(9/2))*x1^(-4)*x2^(-5) + (-15*q^(3/2) + 3*q^(-1/2) + 3*q^(-3/2))*x1^(-1)*x2^(-6) + (3*q^(11/2) + 9*q^(9/2) + 21*q^(7/2) + 39*q^(5/2) + 9*q^(3/2) - 3*q^(1/2) - 3*q^(-1/2))*x1^(-2)*x2^(-6) + (-3*q^(17/2) - 3*q^(15/2) - 12*q^(13/2) - 21*q^(11/2) - 45*q^(9/2) - 36*q^(7/2) - 12*q^(5/2))*x1^(-3)*x2^(-6) + (3*q^(21/2) + 3*q^(19/2) + 3*q^(17/2) + 12*q^(15/2) + 12*q^(13/2) + 27*q^(11/2) + 12*q^(9/2) + 3*q^(7/2))*x1^(-4)*x2^(-6) + (-3*q^(23/2) + 3*q^(19/2) - 3*q^(17/2) - 3*q^(15/2) - 3*q^(13/2))*x1^(-5)*x2^(-6) + (-21*q^(3/2) + 6*q^(-1/2) + 9*q^(-3/2) + 6*q^(-5/2))*x1^(-1)*x2^(-7) + (3*q^(13/2) + 9*q^(11/2) + 21*q^(9/2) + 39*q^(7/2) + 66*q^(5/2) + 16*q^(3/2) - 9*q^(1/2) - 18*q^(-1/2) - 9*q^(-3/2) - q^(-5/2))*x1^(-2)*x2^(-7) + (-3*q^(21/2) - 3*q^(19/2) - 12*q^(17/2) - 15*q^(15/2) - 45*q^(13/2) - 66*q^(11/2) - 111*q^(9/2) - 87*q^(7/2) - 33*q^(5/2) + 3*q^(3/2) + 9*q^(1/2) + 3*q^(-1/2))*x1^(-3)*x2^(-7) + (3*q^(27/2) + 3*q^(25/2) + 6*q^(23/2) + 12*q^(21/2) + 21*q^(19/2) + 21*q^(17/2) + 60*q^(15/2) + 69*q^(13/2) + 96*q^(11/2) + 51*q^(9/2) + 18*q^(7/2))*x1^(-4)*x2^(-7) + (-3*q^(31/2) - 3*q^(29/2) - 3*q^(27/2) - 3*q^(25/2) - 12*q^(23/2) + 3*q^(21/2) - 3*q^(19/2) - 26*q^(17/2) - 33*q^(15/2) - 24*q^(13/2) - 9*q^(11/2) - q^(9/2))*x1^(-5)*x2^(-7) + (3*q^(33/2) - 3*q^(27/2) - 9*q^(23/2) + 3*q^(21/2) + 3*q^(19/2) + 3*q^(17/2))*x1^(-6)*x2^(-7) + (-28*q^(3/2) + 10*q^(-1/2) + 18*q^(-3/2) + 18*q^(-5/2) + 10*q^(-7/2) - q^(-11/2))*x1^(-1)*x2^(-8) + (3*q^(15/2) + 9*q^(13/2) + 21*q^(11/2) + 39*q^(9/2) + 66*q^(7/2) + 99*q^(5/2) + 24*q^(3/2) - 27*q^(1/2) - 54*q^(-1/2) - 48*q^(-3/2) - 21*q^(-5/2) - 3*q^(-7/2))*x1^(-2)*x2^(-8) + (-3*q^(25/2) - 3*q^(23/2) - 12*q^(21/2) - 15*q^(19/2) - 36*q^(17/2) - 57*q^(15/2) - 120*q^(13/2) - 165*q^(11/2) - 231*q^(9/2) - 180*q^(7/2) - 69*q^(5/2) + 24*q^(3/2) + 51*q^(1/2) + 39*q^(-1/2) + 12*q^(-3/2) + 3*q^(-5/2))*x1^(-3)*x2^(-8) + (3*q^(33/2) + 3*q^(31/2) + 6*q^(29/2) + 15*q^(27/2) + 18*q^(25/2) + 33*q^(23/2) + 54*q^(21/2) + 80*q^(19/2) + 117*q^(17/2) + 214*q^(15/2) + 248*q^(13/2) + 273*q^(11/2) + 164*q^(9/2) + 57*q^(7/2) - 7*q^(5/2) - 15*q^(3/2) - 9*q^(1/2) - q^(-1/2))*x1^(-4)*x2^(-8) + (-3*q^(39/2) - 3*q^(37/2) - 6*q^(35/2) - 6*q^(33/2) - 15*q^(31/2) - 21*q^(29/2) - 21*q^(27/2) - 24*q^(25/2) - 39*q^(23/2) - 33*q^(21/2) - 81*q^(19/2) - 156*q^(17/2) - 165*q^(15/2) - 120*q^(13/2) - 57*q^(11/2) - 12*q^(9/2))*x1^(-5)*x2^(-8) + (3*q^(43/2) + 3*q^(41/2) + 3*q^(39/2) + 3*q^(37/2) + 3*q^(35/2) + 12*q^(33/2) + 3*q^(31/2) - 12*q^(29/2) - 21*q^(27/2) - 12*q^(25/2) - 9*q^(23/2) + 39*q^(21/2) + 45*q^(19/2) + 33*q^(17/2) + 12*q^(15/2) + 3*q^(13/2))*x1^(-6)*x2^(-8) + (-3*q^(45/2) + 3*q^(37/2) - 4*q^(35/2) + 9*q^(33/2) + 16*q^(31/2) + 9*q^(29/2) + 3*q^(27/2) + q^(25/2) - 6*q^(23/2) - q^(21/2))*x1^(-7)*x2^(-8) + (-36*q^(3/2) + 15*q^(-1/2) + 30*q^(-3/2) + 36*q^(-5/2) + 30*q^(-7/2) + 15*q^(-9/2) - 3*q^(-11/2) - 3*q^(-13/2) - 3*q^(-15/2))*x1^(-1)*x2^(-9) + (3*q^(17/2) + 9*q^(15/2) + 21*q^(13/2) + 39*q^(11/2) + 66*q^(9/2) + 99*q^(7/2) + 138*q^(5/2) + 24*q^(3/2) - 66*q^(1/2) - 132*q^(-1/2) - 141*q^(-3/2) - 102*q^(-5/2) - 42*q^(-7/2) - 3*q^(-9/2) + 3*q^(-11/2) + 3*q^(-13/2))*x1^(-2)*x2^(-9) + (-3*q^(29/2) - 3*q^(27/2) - 12*q^(25/2) - 15*q^(23/2) - 36*q^(21/2) - 45*q^(19/2) - 102*q^(17/2) - 153*q^(15/2) - 270*q^(13/2) - 342*q^(11/2) - 429*q^(9/2) - 318*q^(7/2) - 105*q^(5/2) + 102*q^(3/2) + 198*q^(1/2) + 186*q^(-1/2) + 111*q^(-3/2) + 39*q^(-5/2) + 9*q^(-7/2))*x1^(-3)*x2^(-9) + (3*q^(39/2) + 3*q^(37/2) + 6*q^(35/2) + 15*q^(33/2) + 21*q^(31/2) + 30*q^(29/2) + 60*q^(27/2) + 75*q^(25/2) + 129*q^(23/2) + 183*q^(21/2) + 291*q^(19/2) + 411*q^(17/2) + 621*q^(15/2) + 681*q^(13/2) + 675*q^(11/2) + 405*q^(9/2) + 132*q^(7/2) - 72*q^(5/2) - 120*q^(3/2) - 93*q^(1/2) - 42*q^(-1/2) - 12*q^(-3/2) - 3*q^(-5/2))*x1^(-4)*x2^(-9) + (-3*q^(47/2) - 3*q^(45/2) - 6*q^(43/2) - 9*q^(41/2) - 18*q^(39/2) - 21*q^(37/2) - 39*q^(35/2) - 42*q^(33/2) - 72*q^(31/2) - 90*q^(29/2) - 111*q^(27/2) - 123*q^(25/2) - 207*q^(23/2) - 285*q^(21/2) - 468*q^(19/2) - 627*q^(17/2) - 621*q^(15/2) - 441*q^(13/2) - 222*q^(11/2) - 51*q^(9/2) + 21*q^(7/2) + 24*q^(5/2) + 12*q^(3/2) + 3*q^(1/2))*x1^(-5)*x2^(-9) + (3*q^(53/2) + 3*q^(51/2) + 6*q^(49/2) + 6*q^(47/2) + 9*q^(45/2) + 15*q^(43/2) + 24*q^(41/2) + 21*q^(39/2) + 27*q^(37/2) + 21*q^(35/2) + 39*q^(33/2) - 12*q^(31/2) - 39*q^(29/2) - 45*q^(27/2) + 57*q^(25/2) + 144*q^(23/2) + 285*q^(21/2) + 279*q^(19/2) + 210*q^(17/2) + 96*q^(15/2) + 36*q^(13/2) + 3*q^(11/2))*x1^(-6)*x2^(-9) + (-3*q^(57/2) - 3*q^(55/2) - 3*q^(53/2) - 3*q^(51/2) - 3*q^(49/2) - 3*q^(47/2) - 12*q^(45/2) - 3*q^(43/2) + 12*q^(39/2) + 24*q^(37/2) + 42*q^(35/2) + 87*q^(33/2) + 93*q^(31/2) + 33*q^(29/2) - 21*q^(27/2) - 51*q^(25/2) - 57*q^(23/2) - 33*q^(21/2) - 12*q^(19/2) - 3*q^(17/2))*x1^(-7)*x2^(-9) + (3*q^(59/2) - 3*q^(49/2) + 3*q^(47/2) - 6*q^(43/2) - 15*q^(41/2) - 15*q^(39/2) - 27*q^(37/2) - 18*q^(35/2) - 12*q^(33/2) + 3*q^(31/2) + 3*q^(29/2) + 3*q^(27/2))*x1^(-8)*x2^(-9)

Braid

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

Multivariable Alexander polynomial

Δ_L
`A1A2^(2) - 3A1A2 + 3A1 + 3A2 - 5 + 3A2^(-1) + 3A1^(-1) - 3A1^(-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, -4)`	yes
`(2, 0)`	no
`(2, 4)`	yes
`(-2, 0)`	no

HFL polytope

Poincaré polynomial
m^(-6)A1^(-3/2)A2^(-5/2) + 4m^(-5)A1^(-3/2)A2^(-3/2) + m^(-5)A1^(-1/2)A2^(-5/2) + 6m^(-4)A1^(-3/2)A2^(-1/2) + 7m^(-4)A1^(-1/2)A2^(-3/2) + 3m^(-3)A1^(-3/2)A2^(1/2) + 14m^(-3)A1^(-1/2)A2^(-1/2) + 3m^(-3)A1^(1/2)A2^(-3/2) + 11m^(-2)A1^(-1/2)A2^(1/2) + 11m^(-2)A1^(1/2)A2^(-1/2) + 3m^(-1)A1^(-1/2)A2^(3/2) + 14m^(-1)A1^(1/2)A2^(1/2) + 3m^(-1)A1^(3/2)A2^(-1/2) + 7A1^(1/2)A2^(3/2) + 6A1^(3/2)A2^(1/2) + mA1^(1/2)A2^(5/2) + 4mA1^(3/2)A2^(3/2) + m^2A1^(3/2)A2^(5/2)

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

Record

FL/HFL Links

`orderOption(int)`	`126`
`namestring`	`L9a32{1}`
`statusstring`	`success`
`slugstring`	`L9a32_1_83d5a15a`
`result_filestring`	`details/L9a32_1_83d5a15a.json`
`complexity_scoreOption(int)`	`162`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`9`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`100`
`wall_secondsOption(float)`	`0.003297`
`backend_secondsOption(float)`	`0.0`
`errorstring`
`dimensionOption(int)`	`2`
`support_sizeOption(int)`	`18`
`vertex_countOption(int)`	`6`
`fibered_vertex_countOption(int)`	`2`
`polytope_statusstring`	`computed`
`alexander_support_sizeOption(int)`	`9`
`alexander_vertex_countOption(int)`	`4`
`alexander_relationstring`	`not_computed`
`fk_countint`	`2`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L9a32_1_83d5a15a" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L9a32_1_83d5a15a`

FL expansions

Braid

Multivariable Alexander polynomial

Dual Thurston polytope

HFL polytope

Record

F_L expansions