L11a118{1} - HFL and FL

details/L11a118_1_8d6ef882.json

F_L expansions

Newt(Δ_L) vertex Exposing functional Leading x-power Leading q-power Inversion datum Inversion cycle F_L

Newt(Δ_L) vertex	Exposing functional	Leading x-power	Leading q-power	Inversion datum	Inversion cycle	F_L
`(-1/2, -5/2)`	`(1, 1)`	`x1^(1/2)x2^(5/2)`	`q^(-23/2)`	`{"0": [1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1], "1": [1, 1, 1, 1, 1, 1]}`		(-q^(1/2))x1^(1/2)x2^(5/2) + (-7q^(1/2))x1^(1/2)x2^(7/2) + (3q^(3/2))x1^(3/2)x2^(7/2) + (-5q^(3/2) - 28q^(1/2) - 2q^(-1/2))x1^(1/2)x2^(9/2) + (7q^(5/2) + 21q^(3/2) + 2q^(1/2))x1^(3/2)x2^(9/2) + (-6q^(7/2) - 3q^(5/2))x1^(5/2)x2^(9/2) + (-q^(7/2) - 15q^(5/2) - 34q^(3/2) - 92q^(1/2) - 14q^(-1/2) - 3q^(-3/2))x1^(1/2)x2^(11/2) + (3q^(9/2) + 20q^(7/2) + 61q^(5/2) + 96q^(3/2) + 20q^(1/2) + 3q^(-1/2))x1^(3/2)x2^(11/2) + (-9q^(11/2) - 21q^(9/2) - 54q^(7/2) - 27q^(5/2) - 6q^(3/2))x1^(5/2)x2^(11/2) + (10q^(13/2) + 8q^(11/2) + 8q^(9/2) + q^(7/2))x1^(7/2)x2^(11/2) + (-3q^(11/2) - 15q^(9/2) - 44q^(7/2) - 108q^(5/2) - 162q^(3/2) - 273q^(1/2) - 71q^(-1/2) - 20q^(-3/2) - 4q^(-5/2) - 4q^(-7/2))x1^(1/2)x2^(13/2) + (q^(15/2) + 9q^(13/2) + 26q^(11/2) + 79q^(9/2) + 201q^(7/2) + 333q^(5/2) + 376q^(3/2) + 121q^(1/2) + 31q^(-1/2) + 5q^(-3/2) + 3q^(-5/2))x1^(3/2)x2^(13/2) + (-3q^(17/2) - 21q^(15/2) - 46q^(13/2) - 136q^(11/2) - 224q^(9/2) - 311q^(7/2) - 173q^(5/2) - 58q^(3/2) - 10q^(1/2) - 2q^(-1/2))x1^(5/2)x2^(13/2) + (11q^(19/2) + 27q^(17/2) + 58q^(15/2) + 122q^(13/2) + 104q^(11/2) + 79q^(9/2) + 25q^(7/2) + 6q^(5/2))x1^(7/2)x2^(13/2) + (-15q^(21/2) - 15q^(19/2) - 21q^(17/2) - 18q^(15/2) - 9q^(13/2) - 3q^(11/2))x1^(9/2)x2^(13/2) + (-3q^(17/2) - 10q^(15/2) - 42q^(13/2) - 79q^(11/2) - 194q^(9/2) - 333q^(7/2) - 538q^(5/2) - 634q^(3/2) - 793q^(1/2) - 286q^(-1/2) - 104q^(-3/2) - 27q^(-5/2) - 31q^(-7/2) - 17q^(-9/2) - 10q^(-11/2))x1^(1/2)x2^(15/2) + (3q^(21/2) + 12q^(19/2) + 35q^(17/2) + 86q^(15/2) + 186q^(13/2) + 390q^(11/2) + 750q^(9/2) + 1210q^(7/2) + 1492q^(5/2) + 1386q^(3/2) + 581q^(1/2) + 197q^(-1/2) + 57q^(-3/2) + 38q^(-5/2) + 19q^(-7/2) + 8q^(-9/2))x1^(3/2)x2^(15/2) + (-q^(25/2) - 9q^(23/2) - 24q^(21/2) - 77q^(19/2) - 161q^(17/2) - 368q^(15/2) - 645q^(13/2) - 1147q^(11/2) - 1453q^(9/2) - 1531q^(7/2) - 908q^(5/2) - 385q^(3/2) - 110q^(1/2) - 38q^(-1/2) - 13q^(-3/2) - 6q^(-5/2))x1^(5/2)x2^(15/2) + (3q^(27/2) + 23q^(25/2) + 49q^(23/2) + 125q^(21/2) + 272q^(19/2) + 485q^(17/2) + 721q^(15/2) + 951q^(13/2) + 794q^(11/2) + 553q^(9/2) + 237q^(7/2) + 83q^(5/2) + 18q^(3/2) + 6q^(1/2))x1^(7/2)x2^(15/2) + (-13q^(29/2) - 33q^(27/2) - 74q^(25/2) - 138q^(23/2) - 266q^(21/2) - 281q^(19/2) - 298q^(17/2) - 229q^(15/2) - 132q^(13/2) - 55q^(11/2) - 18q^(9/2) - 2q^(7/2))x1^(9/2)x2^(15/2) + (21q^(31/2) + 24q^(29/2) + 39q^(27/2) + 45q^(25/2) + 48q^(23/2) + 30q^(21/2) + 24q^(19/2) + 9q^(17/2) + 3q^(15/2))x1^(11/2)x2^(15/2) + (-q^(25/2) - 8q^(23/2) - 20q^(21/2) - 56q^(19/2) - 132q^(17/2) - 249q^(15/2) - 493q^(13/2) - 784q^(11/2) - 1282q^(9/2) - 1744q^(7/2) - 2214q^(5/2) - 2270q^(3/2) - 2299q^(1/2) - 1042q^(-1/2) - 441q^(-3/2) - 151q^(-5/2) - 147q^(-7/2) - 135q^(-9/2) - 111q^(-11/2) - 47q^(-13/2) - 22q^(-15/2) - 6q^(-17/2))x1^(1/2)x2^(17/2) + (3q^(29/2) + 12q^(27/2) + 37q^(25/2) + 82q^(23/2) + 180q^(21/2) + 358q^(19/2) + 666q^(17/2) + 1192q^(15/2) + 1979q^(13/2) + 3204q^(11/2) + 4624q^(9/2) + 5831q^(7/2) + 6024q^(5/2) + 4974q^(3/2) + 2456q^(1/2) + 1005q^(-1/2) + 389q^(-3/2) + 283q^(-5/2) + 219q^(-7/2) + 145q^(-9/2) + 58q^(-11/2) + 23q^(-13/2) + 5q^(-15/2))x1^(3/2)x2^(17/2) + (-3q^(33/2) - 12q^(31/2) - 35q^(29/2) - 86q^(27/2) - 181q^(25/2) - 390q^(23/2) - 720q^(21/2) - 1348q^(19/2) - 2218q^(17/2) - 3653q^(15/2) - 5297q^(13/2) - 7105q^(11/2) - 7640q^(9/2) - 6890q^(7/2) - 4287q^(5/2) - 2079q^(3/2) - 802q^(1/2) - 360q^(-1/2) - 195q^(-3/2) - 124q^(-5/2) - 51q^(-7/2) - 18q^(-9/2) - 4q^(-11/2))x1^(5/2)x2^(17/2) + (q^(37/2) + 9q^(35/2) + 24q^(33/2) + 77q^(31/2) + 163q^(29/2) + 344q^(27/2) + 704q^(25/2) + 1226q^(23/2) + 2093q^(21/2) + 3264q^(19/2) + 4603q^(17/2) + 5593q^(15/2) + 5961q^(13/2) + 4814q^(11/2) + 3257q^(9/2) + 1638q^(7/2) + 707q^(5/2) + 257q^(3/2) + 115q^(1/2) + 40q^(-1/2) + 18q^(-3/2) + 3q^(-5/2))x1^(7/2)x2^(17/2) + (-3q^(39/2) - 25q^(37/2) - 53q^(35/2) - 136q^(33/2) - 265q^(31/2) - 565q^(29/2) - 954q^(27/2) - 1520q^(25/2) - 2134q^(23/2) - 2768q^(21/2) - 2792q^(19/2) - 2566q^(17/2) - 1913q^(15/2) - 1169q^(13/2) - 578q^(11/2) - 245q^(9/2) - 77q^(7/2) - 24q^(5/2) - 6q^(3/2))x1^(9/2)x2^(17/2) + (15q^(41/2) + 39q^(39/2) + 90q^(37/2) + 174q^(35/2) + 312q^(33/2) + 546q^(31/2) + 669q^(29/2) + 795q^(27/2) + 810q^(25/2) + 729q^(23/2) + 519q^(21/2) + 357q^(19/2) + 180q^(17/2) + 81q^(15/2) + 24q^(13/2) + 6q^(11/2))x1^(11/2)x2^(17/2) + (-28q^(43/2) - 35q^(41/2) - 62q^(39/2) - 82q^(37/2) - 107q^(35/2) - 108q^(33/2) - 101q^(31/2) - 81q^(29/2) - 62q^(27/2) - 37q^(25/2) - 17q^(23/2) - 8q^(21/2) - q^(19/2))x1^(13/2)x2^(17/2) + (-3q^(33/2) - 9q^(31/2) - 30q^(29/2) - 61q^(27/2) - 150q^(25/2) - 275q^(23/2) - 538q^(21/2) - 929q^(19/2) - 1579q^(17/2) - 2374q^(15/2) - 3628q^(13/2) - 4872q^(11/2) - 6465q^(9/2) - 7539q^(7/2) - 8257q^(5/2) - 7665q^(3/2) - 6774q^(1/2) - 3548q^(-1/2) - 1708q^(-3/2) - 720q^(-5/2) - 643q^(-7/2) - 676q^(-9/2) - 691q^(-11/2) - 464q^(-13/2) - 288q^(-15/2) - 145q^(-17/2) - 66q^(-19/2) - 24q^(-21/2) - 14q^(-23/2))x1^(1/2)x2^(19/2) + (q^(39/2) + 9q^(37/2) + 26q^(35/2) + 66q^(33/2) + 146q^(31/2) + 290q^(29/2) + 551q^(27/2) + 994q^(25/2) + 1701q^(23/2) + 2823q^(21/2) + 4508q^(19/2) + 6889q^(17/2) + 10191q^(15/2) + 14303q^(13/2) + 19039q^(11/2) + 22975q^(9/2) + 24789q^(7/2) + 22863q^(5/2) + 17579q^(3/2) + 9630q^(1/2) + 4530q^(-1/2) + 2152q^(-3/2) + 1655q^(-5/2) + 1520q^(-7/2) + 1268q^(-9/2) + 800q^(-11/2) + 446q^(-13/2) + 208q^(-15/2) + 86q^(-17/2) + 32q^(-19/2) + 12q^(-21/2))x1^(3/2)x2^(19/2) + (-3q^(43/2) - 12q^(41/2) - 39q^(39/2) - 85q^(37/2) - 193q^(35/2) - 375q^(33/2) - 721q^(31/2) - 1276q^(29/2) - 2242q^(27/2) - 3665q^(25/2) - 5979q^(23/2) - 9122q^(21/2) - 13771q^(19/2) - 19384q^(17/2) - 26473q^(15/2) - 32732q^(13/2) - 37008q^(11/2) - 35542q^(9/2) - 29343q^(7/2) - 18799q^(5/2) - 10060q^(3/2) - 4706q^(1/2) - 2565q^(-1/2) - 1719q^(-3/2) - 1308q^(-5/2) - 823q^(-7/2) - 455q^(-9/2) - 206q^(-11/2) - 83q^(-13/2) - 26q^(-15/2) - 10q^(-17/2))x1^(5/2)x2^(19/2) + (3q^(47/2) + 12q^(45/2) + 35q^(43/2) + 86q^(41/2) + 182q^(39/2) + 391q^(37/2) + 741q^(35/2) + 1364q^(33/2) + 2417q^(31/2) + 4031q^(29/2) + 6468q^(27/2) + 10084q^(25/2) + 14700q^(23/2) + 20639q^(21/2) + 26985q^(19/2) + 32417q^(17/2) + 34561q^(15/2) + 32663q^(13/2) + 25581q^(11/2) + 17236q^(9/2) + 9578q^(7/2) + 4810q^(5/2) + 2291q^(3/2) + 1267q^(1/2) + 703q^(-1/2) + 405q^(-3/2) + 189q^(-5/2) + 77q^(-7/2) + 24q^(-9/2) + 8q^(-11/2))x1^(7/2)x2^(19/2) + (-q^(51/2) - 9q^(49/2) - 24q^(47/2) - 79q^(45/2) - 165q^(43/2) - 352q^(41/2) - 688q^(39/2) - 1319q^(37/2) - 2248q^(35/2) - 3822q^(33/2) - 5952q^(31/2) - 9106q^(29/2) - 12664q^(27/2) - 16659q^(25/2) - 19868q^(23/2) - 21818q^(21/2) - 20627q^(19/2) - 17620q^(17/2) - 12921q^(15/2) - 8240q^(13/2) - 4520q^(11/2) - 2260q^(9/2) - 999q^(7/2) - 454q^(5/2) - 197q^(3/2) - 81q^(1/2) - 27q^(-1/2) - 9q^(-3/2))x1^(9/2)x2^(19/2) + (3q^(53/2) + 27q^(51/2) + 57q^(49/2) + 148q^(47/2) + 288q^(45/2) + 577q^(43/2) + 1074q^(41/2) + 1861q^(39/2) + 2914q^(37/2) + 4339q^(35/2) + 5948q^(33/2) + 7651q^(31/2) + 8547q^(29/2) + 8928q^(27/2) + 8337q^(25/2) + 7040q^(23/2) + 5147q^(21/2) + 3478q^(19/2) + 1983q^(17/2) + 1026q^(15/2) + 439q^(13/2) + 177q^(11/2) + 55q^(9/2) + 19q^(7/2) + 2q^(5/2))x1^(11/2)x2^(19/2) + (-17q^(55/2) - 45q^(53/2) - 106q^(51/2) - 210q^(49/2) - 388q^(47/2) - 652q^(45/2) - 1099q^(43/2) - 1432q^(41/2) - 1840q^(39/2) - 2112q^(37/2) - 2275q^(35/2) - 2154q^(33/2) - 1902q^(31/2) - 1498q^(29/2) - 1103q^(27/2) - 698q^(25/2) - 392q^(23/2) - 193q^(21/2) - 79q^(19/2) - 24q^(17/2) - 6q^(15/2))x1^(13/2)x2^(19/2) + (36q^(57/2) + 48q^(55/2) + 90q^(53/2) + 129q^(51/2) + 186q^(49/2) + 222q^(47/2) + 264q^(45/2) + 252q^(43/2) + 255q^(41/2) + 219q^(39/2) + 183q^(37/2) + 126q^(35/2) + 90q^(33/2) + 48q^(31/2) + 27q^(29/2) + 9q^(27/2) + 3q^(25/2))x1^(15/2)*x2^(19/2)
`(1/2, 5/2)`		`x1^(-1/2)x2^(-5/2)`	`q^(-23/2)`			(-q^(1/2))x1^(-1/2)x2^(-5/2) + (-7q^(1/2))x1^(-1/2)x2^(-7/2) + (3q^(3/2))x1^(-3/2)x2^(-7/2) + (-5q^(3/2) - 28q^(1/2) - 2q^(-1/2))x1^(-1/2)x2^(-9/2) + (7q^(5/2) + 21q^(3/2) + 2q^(1/2))x1^(-3/2)x2^(-9/2) + (-6q^(7/2) - 3q^(5/2))x1^(-5/2)x2^(-9/2) + (-q^(7/2) - 15q^(5/2) - 34q^(3/2) - 92q^(1/2) - 14q^(-1/2) - 3q^(-3/2))x1^(-1/2)x2^(-11/2) + (3q^(9/2) + 20q^(7/2) + 61q^(5/2) + 96q^(3/2) + 20q^(1/2) + 3q^(-1/2))x1^(-3/2)x2^(-11/2) + (-9q^(11/2) - 21q^(9/2) - 54q^(7/2) - 27q^(5/2) - 6q^(3/2))x1^(-5/2)x2^(-11/2) + (10q^(13/2) + 8q^(11/2) + 8q^(9/2) + q^(7/2))x1^(-7/2)x2^(-11/2) + (-3q^(11/2) - 15q^(9/2) - 44q^(7/2) - 108q^(5/2) - 162q^(3/2) - 273q^(1/2) - 71q^(-1/2) - 20q^(-3/2) - 4q^(-5/2) - 4q^(-7/2))x1^(-1/2)x2^(-13/2) + (q^(15/2) + 9q^(13/2) + 26q^(11/2) + 79q^(9/2) + 201q^(7/2) + 333q^(5/2) + 376q^(3/2) + 121q^(1/2) + 31q^(-1/2) + 5q^(-3/2) + 3q^(-5/2))x1^(-3/2)x2^(-13/2) + (-3q^(17/2) - 21q^(15/2) - 46q^(13/2) - 136q^(11/2) - 224q^(9/2) - 311q^(7/2) - 173q^(5/2) - 58q^(3/2) - 10q^(1/2) - 2q^(-1/2))x1^(-5/2)x2^(-13/2) + (11q^(19/2) + 27q^(17/2) + 58q^(15/2) + 122q^(13/2) + 104q^(11/2) + 79q^(9/2) + 25q^(7/2) + 6q^(5/2))x1^(-7/2)x2^(-13/2) + (-15q^(21/2) - 15q^(19/2) - 21q^(17/2) - 18q^(15/2) - 9q^(13/2) - 3q^(11/2))x1^(-9/2)x2^(-13/2) + (-3q^(17/2) - 10q^(15/2) - 42q^(13/2) - 79q^(11/2) - 194q^(9/2) - 333q^(7/2) - 538q^(5/2) - 634q^(3/2) - 793q^(1/2) - 286q^(-1/2) - 104q^(-3/2) - 27q^(-5/2) - 31q^(-7/2) - 17q^(-9/2) - 10q^(-11/2))x1^(-1/2)x2^(-15/2) + (3q^(21/2) + 12q^(19/2) + 35q^(17/2) + 86q^(15/2) + 186q^(13/2) + 390q^(11/2) + 750q^(9/2) + 1210q^(7/2) + 1492q^(5/2) + 1386q^(3/2) + 581q^(1/2) + 197q^(-1/2) + 57q^(-3/2) + 38q^(-5/2) + 19q^(-7/2) + 8q^(-9/2))x1^(-3/2)x2^(-15/2) + (-q^(25/2) - 9q^(23/2) - 24q^(21/2) - 77q^(19/2) - 161q^(17/2) - 368q^(15/2) - 645q^(13/2) - 1147q^(11/2) - 1453q^(9/2) - 1531q^(7/2) - 908q^(5/2) - 385q^(3/2) - 110q^(1/2) - 38q^(-1/2) - 13q^(-3/2) - 6q^(-5/2))x1^(-5/2)x2^(-15/2) + (3q^(27/2) + 23q^(25/2) + 49q^(23/2) + 125q^(21/2) + 272q^(19/2) + 485q^(17/2) + 721q^(15/2) + 951q^(13/2) + 794q^(11/2) + 553q^(9/2) + 237q^(7/2) + 83q^(5/2) + 18q^(3/2) + 6q^(1/2))x1^(-7/2)x2^(-15/2) + (-13q^(29/2) - 33q^(27/2) - 74q^(25/2) - 138q^(23/2) - 266q^(21/2) - 281q^(19/2) - 298q^(17/2) - 229q^(15/2) - 132q^(13/2) - 55q^(11/2) - 18q^(9/2) - 2q^(7/2))x1^(-9/2)x2^(-15/2) + (21q^(31/2) + 24q^(29/2) + 39q^(27/2) + 45q^(25/2) + 48q^(23/2) + 30q^(21/2) + 24q^(19/2) + 9q^(17/2) + 3q^(15/2))x1^(-11/2)x2^(-15/2) + (-q^(25/2) - 8q^(23/2) - 20q^(21/2) - 56q^(19/2) - 132q^(17/2) - 249q^(15/2) - 493q^(13/2) - 784q^(11/2) - 1282q^(9/2) - 1744q^(7/2) - 2214q^(5/2) - 2270q^(3/2) - 2299q^(1/2) - 1042q^(-1/2) - 441q^(-3/2) - 151q^(-5/2) - 147q^(-7/2) - 135q^(-9/2) - 111q^(-11/2) - 47q^(-13/2) - 22q^(-15/2) - 6q^(-17/2))x1^(-1/2)x2^(-17/2) + (3q^(29/2) + 12q^(27/2) + 37q^(25/2) + 82q^(23/2) + 180q^(21/2) + 358q^(19/2) + 666q^(17/2) + 1192q^(15/2) + 1979q^(13/2) + 3204q^(11/2) + 4624q^(9/2) + 5831q^(7/2) + 6024q^(5/2) + 4974q^(3/2) + 2456q^(1/2) + 1005q^(-1/2) + 389q^(-3/2) + 283q^(-5/2) + 219q^(-7/2) + 145q^(-9/2) + 58q^(-11/2) + 23q^(-13/2) + 5q^(-15/2))x1^(-3/2)x2^(-17/2) + (-3q^(33/2) - 12q^(31/2) - 35q^(29/2) - 86q^(27/2) - 181q^(25/2) - 390q^(23/2) - 720q^(21/2) - 1348q^(19/2) - 2218q^(17/2) - 3653q^(15/2) - 5297q^(13/2) - 7105q^(11/2) - 7640q^(9/2) - 6890q^(7/2) - 4287q^(5/2) - 2079q^(3/2) - 802q^(1/2) - 360q^(-1/2) - 195q^(-3/2) - 124q^(-5/2) - 51q^(-7/2) - 18q^(-9/2) - 4q^(-11/2))x1^(-5/2)x2^(-17/2) + (q^(37/2) + 9q^(35/2) + 24q^(33/2) + 77q^(31/2) + 163q^(29/2) + 344q^(27/2) + 704q^(25/2) + 1226q^(23/2) + 2093q^(21/2) + 3264q^(19/2) + 4603q^(17/2) + 5593q^(15/2) + 5961q^(13/2) + 4814q^(11/2) + 3257q^(9/2) + 1638q^(7/2) + 707q^(5/2) + 257q^(3/2) + 115q^(1/2) + 40q^(-1/2) + 18q^(-3/2) + 3q^(-5/2))x1^(-7/2)x2^(-17/2) + (-3q^(39/2) - 25q^(37/2) - 53q^(35/2) - 136q^(33/2) - 265q^(31/2) - 565q^(29/2) - 954q^(27/2) - 1520q^(25/2) - 2134q^(23/2) - 2768q^(21/2) - 2792q^(19/2) - 2566q^(17/2) - 1913q^(15/2) - 1169q^(13/2) - 578q^(11/2) - 245q^(9/2) - 77q^(7/2) - 24q^(5/2) - 6q^(3/2))x1^(-9/2)x2^(-17/2) + (15q^(41/2) + 39q^(39/2) + 90q^(37/2) + 174q^(35/2) + 312q^(33/2) + 546q^(31/2) + 669q^(29/2) + 795q^(27/2) + 810q^(25/2) + 729q^(23/2) + 519q^(21/2) + 357q^(19/2) + 180q^(17/2) + 81q^(15/2) + 24q^(13/2) + 6q^(11/2))x1^(-11/2)x2^(-17/2) + (-28q^(43/2) - 35q^(41/2) - 62q^(39/2) - 82q^(37/2) - 107q^(35/2) - 108q^(33/2) - 101q^(31/2) - 81q^(29/2) - 62q^(27/2) - 37q^(25/2) - 17q^(23/2) - 8q^(21/2) - q^(19/2))x1^(-13/2)x2^(-17/2) + (-3q^(33/2) - 9q^(31/2) - 30q^(29/2) - 61q^(27/2) - 150q^(25/2) - 275q^(23/2) - 538q^(21/2) - 929q^(19/2) - 1579q^(17/2) - 2374q^(15/2) - 3628q^(13/2) - 4872q^(11/2) - 6465q^(9/2) - 7539q^(7/2) - 8257q^(5/2) - 7665q^(3/2) - 6774q^(1/2) - 3548q^(-1/2) - 1708q^(-3/2) - 720q^(-5/2) - 643q^(-7/2) - 676q^(-9/2) - 691q^(-11/2) - 464q^(-13/2) - 288q^(-15/2) - 145q^(-17/2) - 66q^(-19/2) - 24q^(-21/2) - 14q^(-23/2))x1^(-1/2)x2^(-19/2) + (q^(39/2) + 9q^(37/2) + 26q^(35/2) + 66q^(33/2) + 146q^(31/2) + 290q^(29/2) + 551q^(27/2) + 994q^(25/2) + 1701q^(23/2) + 2823q^(21/2) + 4508q^(19/2) + 6889q^(17/2) + 10191q^(15/2) + 14303q^(13/2) + 19039q^(11/2) + 22975q^(9/2) + 24789q^(7/2) + 22863q^(5/2) + 17579q^(3/2) + 9630q^(1/2) + 4530q^(-1/2) + 2152q^(-3/2) + 1655q^(-5/2) + 1520q^(-7/2) + 1268q^(-9/2) + 800q^(-11/2) + 446q^(-13/2) + 208q^(-15/2) + 86q^(-17/2) + 32q^(-19/2) + 12q^(-21/2))x1^(-3/2)x2^(-19/2) + (-3q^(43/2) - 12q^(41/2) - 39q^(39/2) - 85q^(37/2) - 193q^(35/2) - 375q^(33/2) - 721q^(31/2) - 1276q^(29/2) - 2242q^(27/2) - 3665q^(25/2) - 5979q^(23/2) - 9122q^(21/2) - 13771q^(19/2) - 19384q^(17/2) - 26473q^(15/2) - 32732q^(13/2) - 37008q^(11/2) - 35542q^(9/2) - 29343q^(7/2) - 18799q^(5/2) - 10060q^(3/2) - 4706q^(1/2) - 2565q^(-1/2) - 1719q^(-3/2) - 1308q^(-5/2) - 823q^(-7/2) - 455q^(-9/2) - 206q^(-11/2) - 83q^(-13/2) - 26q^(-15/2) - 10q^(-17/2))x1^(-5/2)x2^(-19/2) + (3q^(47/2) + 12q^(45/2) + 35q^(43/2) + 86q^(41/2) + 182q^(39/2) + 391q^(37/2) + 741q^(35/2) + 1364q^(33/2) + 2417q^(31/2) + 4031q^(29/2) + 6468q^(27/2) + 10084q^(25/2) + 14700q^(23/2) + 20639q^(21/2) + 26985q^(19/2) + 32417q^(17/2) + 34561q^(15/2) + 32663q^(13/2) + 25581q^(11/2) + 17236q^(9/2) + 9578q^(7/2) + 4810q^(5/2) + 2291q^(3/2) + 1267q^(1/2) + 703q^(-1/2) + 405q^(-3/2) + 189q^(-5/2) + 77q^(-7/2) + 24q^(-9/2) + 8q^(-11/2))x1^(-7/2)x2^(-19/2) + (-q^(51/2) - 9q^(49/2) - 24q^(47/2) - 79q^(45/2) - 165q^(43/2) - 352q^(41/2) - 688q^(39/2) - 1319q^(37/2) - 2248q^(35/2) - 3822q^(33/2) - 5952q^(31/2) - 9106q^(29/2) - 12664q^(27/2) - 16659q^(25/2) - 19868q^(23/2) - 21818q^(21/2) - 20627q^(19/2) - 17620q^(17/2) - 12921q^(15/2) - 8240q^(13/2) - 4520q^(11/2) - 2260q^(9/2) - 999q^(7/2) - 454q^(5/2) - 197q^(3/2) - 81q^(1/2) - 27q^(-1/2) - 9q^(-3/2))x1^(-9/2)x2^(-19/2) + (3q^(53/2) + 27q^(51/2) + 57q^(49/2) + 148q^(47/2) + 288q^(45/2) + 577q^(43/2) + 1074q^(41/2) + 1861q^(39/2) + 2914q^(37/2) + 4339q^(35/2) + 5948q^(33/2) + 7651q^(31/2) + 8547q^(29/2) + 8928q^(27/2) + 8337q^(25/2) + 7040q^(23/2) + 5147q^(21/2) + 3478q^(19/2) + 1983q^(17/2) + 1026q^(15/2) + 439q^(13/2) + 177q^(11/2) + 55q^(9/2) + 19q^(7/2) + 2q^(5/2))x1^(-11/2)x2^(-19/2) + (-17q^(55/2) - 45q^(53/2) - 106q^(51/2) - 210q^(49/2) - 388q^(47/2) - 652q^(45/2) - 1099q^(43/2) - 1432q^(41/2) - 1840q^(39/2) - 2112q^(37/2) - 2275q^(35/2) - 2154q^(33/2) - 1902q^(31/2) - 1498q^(29/2) - 1103q^(27/2) - 698q^(25/2) - 392q^(23/2) - 193q^(21/2) - 79q^(19/2) - 24q^(17/2) - 6q^(15/2))x1^(-13/2)x2^(-19/2) + (36q^(57/2) + 48q^(55/2) + 90q^(53/2) + 129q^(51/2) + 186q^(49/2) + 222q^(47/2) + 264q^(45/2) + 252q^(43/2) + 255q^(41/2) + 219q^(39/2) + 183q^(37/2) + 126q^(35/2) + 90q^(33/2) + 48q^(31/2) + 27q^(29/2) + 9q^(27/2) + 3q^(25/2))x1^(-15/2)*x2^(-19/2)

(-1/2, -5/2)

(1, 1)

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

q^(-23/2)

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

(-q^(1/2))*x1^(1/2)*x2^(5/2) + (-7*q^(1/2))*x1^(1/2)*x2^(7/2) + (3*q^(3/2))*x1^(3/2)*x2^(7/2) + (-5*q^(3/2) - 28*q^(1/2) - 2*q^(-1/2))*x1^(1/2)*x2^(9/2) + (7*q^(5/2) + 21*q^(3/2) + 2*q^(1/2))*x1^(3/2)*x2^(9/2) + (-6*q^(7/2) - 3*q^(5/2))*x1^(5/2)*x2^(9/2) + (-q^(7/2) - 15*q^(5/2) - 34*q^(3/2) - 92*q^(1/2) - 14*q^(-1/2) - 3*q^(-3/2))*x1^(1/2)*x2^(11/2) + (3*q^(9/2) + 20*q^(7/2) + 61*q^(5/2) + 96*q^(3/2) + 20*q^(1/2) + 3*q^(-1/2))*x1^(3/2)*x2^(11/2) + (-9*q^(11/2) - 21*q^(9/2) - 54*q^(7/2) - 27*q^(5/2) - 6*q^(3/2))*x1^(5/2)*x2^(11/2) + (10*q^(13/2) + 8*q^(11/2) + 8*q^(9/2) + q^(7/2))*x1^(7/2)*x2^(11/2) + (-3*q^(11/2) - 15*q^(9/2) - 44*q^(7/2) - 108*q^(5/2) - 162*q^(3/2) - 273*q^(1/2) - 71*q^(-1/2) - 20*q^(-3/2) - 4*q^(-5/2) - 4*q^(-7/2))*x1^(1/2)*x2^(13/2) + (q^(15/2) + 9*q^(13/2) + 26*q^(11/2) + 79*q^(9/2) + 201*q^(7/2) + 333*q^(5/2) + 376*q^(3/2) + 121*q^(1/2) + 31*q^(-1/2) + 5*q^(-3/2) + 3*q^(-5/2))*x1^(3/2)*x2^(13/2) + (-3*q^(17/2) - 21*q^(15/2) - 46*q^(13/2) - 136*q^(11/2) - 224*q^(9/2) - 311*q^(7/2) - 173*q^(5/2) - 58*q^(3/2) - 10*q^(1/2) - 2*q^(-1/2))*x1^(5/2)*x2^(13/2) + (11*q^(19/2) + 27*q^(17/2) + 58*q^(15/2) + 122*q^(13/2) + 104*q^(11/2) + 79*q^(9/2) + 25*q^(7/2) + 6*q^(5/2))*x1^(7/2)*x2^(13/2) + (-15*q^(21/2) - 15*q^(19/2) - 21*q^(17/2) - 18*q^(15/2) - 9*q^(13/2) - 3*q^(11/2))*x1^(9/2)*x2^(13/2) + (-3*q^(17/2) - 10*q^(15/2) - 42*q^(13/2) - 79*q^(11/2) - 194*q^(9/2) - 333*q^(7/2) - 538*q^(5/2) - 634*q^(3/2) - 793*q^(1/2) - 286*q^(-1/2) - 104*q^(-3/2) - 27*q^(-5/2) - 31*q^(-7/2) - 17*q^(-9/2) - 10*q^(-11/2))*x1^(1/2)*x2^(15/2) + (3*q^(21/2) + 12*q^(19/2) + 35*q^(17/2) + 86*q^(15/2) + 186*q^(13/2) + 390*q^(11/2) + 750*q^(9/2) + 1210*q^(7/2) + 1492*q^(5/2) + 1386*q^(3/2) + 581*q^(1/2) + 197*q^(-1/2) + 57*q^(-3/2) + 38*q^(-5/2) + 19*q^(-7/2) + 8*q^(-9/2))*x1^(3/2)*x2^(15/2) + (-q^(25/2) - 9*q^(23/2) - 24*q^(21/2) - 77*q^(19/2) - 161*q^(17/2) - 368*q^(15/2) - 645*q^(13/2) - 1147*q^(11/2) - 1453*q^(9/2) - 1531*q^(7/2) - 908*q^(5/2) - 385*q^(3/2) - 110*q^(1/2) - 38*q^(-1/2) - 13*q^(-3/2) - 6*q^(-5/2))*x1^(5/2)*x2^(15/2) + (3*q^(27/2) + 23*q^(25/2) + 49*q^(23/2) + 125*q^(21/2) + 272*q^(19/2) + 485*q^(17/2) + 721*q^(15/2) + 951*q^(13/2) + 794*q^(11/2) + 553*q^(9/2) + 237*q^(7/2) + 83*q^(5/2) + 18*q^(3/2) + 6*q^(1/2))*x1^(7/2)*x2^(15/2) + (-13*q^(29/2) - 33*q^(27/2) - 74*q^(25/2) - 138*q^(23/2) - 266*q^(21/2) - 281*q^(19/2) - 298*q^(17/2) - 229*q^(15/2) - 132*q^(13/2) - 55*q^(11/2) - 18*q^(9/2) - 2*q^(7/2))*x1^(9/2)*x2^(15/2) + (21*q^(31/2) + 24*q^(29/2) + 39*q^(27/2) + 45*q^(25/2) + 48*q^(23/2) + 30*q^(21/2) + 24*q^(19/2) + 9*q^(17/2) + 3*q^(15/2))*x1^(11/2)*x2^(15/2) + (-q^(25/2) - 8*q^(23/2) - 20*q^(21/2) - 56*q^(19/2) - 132*q^(17/2) - 249*q^(15/2) - 493*q^(13/2) - 784*q^(11/2) - 1282*q^(9/2) - 1744*q^(7/2) - 2214*q^(5/2) - 2270*q^(3/2) - 2299*q^(1/2) - 1042*q^(-1/2) - 441*q^(-3/2) - 151*q^(-5/2) - 147*q^(-7/2) - 135*q^(-9/2) - 111*q^(-11/2) - 47*q^(-13/2) - 22*q^(-15/2) - 6*q^(-17/2))*x1^(1/2)*x2^(17/2) + (3*q^(29/2) + 12*q^(27/2) + 37*q^(25/2) + 82*q^(23/2) + 180*q^(21/2) + 358*q^(19/2) + 666*q^(17/2) + 1192*q^(15/2) + 1979*q^(13/2) + 3204*q^(11/2) + 4624*q^(9/2) + 5831*q^(7/2) + 6024*q^(5/2) + 4974*q^(3/2) + 2456*q^(1/2) + 1005*q^(-1/2) + 389*q^(-3/2) + 283*q^(-5/2) + 219*q^(-7/2) + 145*q^(-9/2) + 58*q^(-11/2) + 23*q^(-13/2) + 5*q^(-15/2))*x1^(3/2)*x2^(17/2) + (-3*q^(33/2) - 12*q^(31/2) - 35*q^(29/2) - 86*q^(27/2) - 181*q^(25/2) - 390*q^(23/2) - 720*q^(21/2) - 1348*q^(19/2) - 2218*q^(17/2) - 3653*q^(15/2) - 5297*q^(13/2) - 7105*q^(11/2) - 7640*q^(9/2) - 6890*q^(7/2) - 4287*q^(5/2) - 2079*q^(3/2) - 802*q^(1/2) - 360*q^(-1/2) - 195*q^(-3/2) - 124*q^(-5/2) - 51*q^(-7/2) - 18*q^(-9/2) - 4*q^(-11/2))*x1^(5/2)*x2^(17/2) + (q^(37/2) + 9*q^(35/2) + 24*q^(33/2) + 77*q^(31/2) + 163*q^(29/2) + 344*q^(27/2) + 704*q^(25/2) + 1226*q^(23/2) + 2093*q^(21/2) + 3264*q^(19/2) + 4603*q^(17/2) + 5593*q^(15/2) + 5961*q^(13/2) + 4814*q^(11/2) + 3257*q^(9/2) + 1638*q^(7/2) + 707*q^(5/2) + 257*q^(3/2) + 115*q^(1/2) + 40*q^(-1/2) + 18*q^(-3/2) + 3*q^(-5/2))*x1^(7/2)*x2^(17/2) + (-3*q^(39/2) - 25*q^(37/2) - 53*q^(35/2) - 136*q^(33/2) - 265*q^(31/2) - 565*q^(29/2) - 954*q^(27/2) - 1520*q^(25/2) - 2134*q^(23/2) - 2768*q^(21/2) - 2792*q^(19/2) - 2566*q^(17/2) - 1913*q^(15/2) - 1169*q^(13/2) - 578*q^(11/2) - 245*q^(9/2) - 77*q^(7/2) - 24*q^(5/2) - 6*q^(3/2))*x1^(9/2)*x2^(17/2) + (15*q^(41/2) + 39*q^(39/2) + 90*q^(37/2) + 174*q^(35/2) + 312*q^(33/2) + 546*q^(31/2) + 669*q^(29/2) + 795*q^(27/2) + 810*q^(25/2) + 729*q^(23/2) + 519*q^(21/2) + 357*q^(19/2) + 180*q^(17/2) + 81*q^(15/2) + 24*q^(13/2) + 6*q^(11/2))*x1^(11/2)*x2^(17/2) + (-28*q^(43/2) - 35*q^(41/2) - 62*q^(39/2) - 82*q^(37/2) - 107*q^(35/2) - 108*q^(33/2) - 101*q^(31/2) - 81*q^(29/2) - 62*q^(27/2) - 37*q^(25/2) - 17*q^(23/2) - 8*q^(21/2) - q^(19/2))*x1^(13/2)*x2^(17/2) + (-3*q^(33/2) - 9*q^(31/2) - 30*q^(29/2) - 61*q^(27/2) - 150*q^(25/2) - 275*q^(23/2) - 538*q^(21/2) - 929*q^(19/2) - 1579*q^(17/2) - 2374*q^(15/2) - 3628*q^(13/2) - 4872*q^(11/2) - 6465*q^(9/2) - 7539*q^(7/2) - 8257*q^(5/2) - 7665*q^(3/2) - 6774*q^(1/2) - 3548*q^(-1/2) - 1708*q^(-3/2) - 720*q^(-5/2) - 643*q^(-7/2) - 676*q^(-9/2) - 691*q^(-11/2) - 464*q^(-13/2) - 288*q^(-15/2) - 145*q^(-17/2) - 66*q^(-19/2) - 24*q^(-21/2) - 14*q^(-23/2))*x1^(1/2)*x2^(19/2) + (q^(39/2) + 9*q^(37/2) + 26*q^(35/2) + 66*q^(33/2) + 146*q^(31/2) + 290*q^(29/2) + 551*q^(27/2) + 994*q^(25/2) + 1701*q^(23/2) + 2823*q^(21/2) + 4508*q^(19/2) + 6889*q^(17/2) + 10191*q^(15/2) + 14303*q^(13/2) + 19039*q^(11/2) + 22975*q^(9/2) + 24789*q^(7/2) + 22863*q^(5/2) + 17579*q^(3/2) + 9630*q^(1/2) + 4530*q^(-1/2) + 2152*q^(-3/2) + 1655*q^(-5/2) + 1520*q^(-7/2) + 1268*q^(-9/2) + 800*q^(-11/2) + 446*q^(-13/2) + 208*q^(-15/2) + 86*q^(-17/2) + 32*q^(-19/2) + 12*q^(-21/2))*x1^(3/2)*x2^(19/2) + (-3*q^(43/2) - 12*q^(41/2) - 39*q^(39/2) - 85*q^(37/2) - 193*q^(35/2) - 375*q^(33/2) - 721*q^(31/2) - 1276*q^(29/2) - 2242*q^(27/2) - 3665*q^(25/2) - 5979*q^(23/2) - 9122*q^(21/2) - 13771*q^(19/2) - 19384*q^(17/2) - 26473*q^(15/2) - 32732*q^(13/2) - 37008*q^(11/2) - 35542*q^(9/2) - 29343*q^(7/2) - 18799*q^(5/2) - 10060*q^(3/2) - 4706*q^(1/2) - 2565*q^(-1/2) - 1719*q^(-3/2) - 1308*q^(-5/2) - 823*q^(-7/2) - 455*q^(-9/2) - 206*q^(-11/2) - 83*q^(-13/2) - 26*q^(-15/2) - 10*q^(-17/2))*x1^(5/2)*x2^(19/2) + (3*q^(47/2) + 12*q^(45/2) + 35*q^(43/2) + 86*q^(41/2) + 182*q^(39/2) + 391*q^(37/2) + 741*q^(35/2) + 1364*q^(33/2) + 2417*q^(31/2) + 4031*q^(29/2) + 6468*q^(27/2) + 10084*q^(25/2) + 14700*q^(23/2) + 20639*q^(21/2) + 26985*q^(19/2) + 32417*q^(17/2) + 34561*q^(15/2) + 32663*q^(13/2) + 25581*q^(11/2) + 17236*q^(9/2) + 9578*q^(7/2) + 4810*q^(5/2) + 2291*q^(3/2) + 1267*q^(1/2) + 703*q^(-1/2) + 405*q^(-3/2) + 189*q^(-5/2) + 77*q^(-7/2) + 24*q^(-9/2) + 8*q^(-11/2))*x1^(7/2)*x2^(19/2) + (-q^(51/2) - 9*q^(49/2) - 24*q^(47/2) - 79*q^(45/2) - 165*q^(43/2) - 352*q^(41/2) - 688*q^(39/2) - 1319*q^(37/2) - 2248*q^(35/2) - 3822*q^(33/2) - 5952*q^(31/2) - 9106*q^(29/2) - 12664*q^(27/2) - 16659*q^(25/2) - 19868*q^(23/2) - 21818*q^(21/2) - 20627*q^(19/2) - 17620*q^(17/2) - 12921*q^(15/2) - 8240*q^(13/2) - 4520*q^(11/2) - 2260*q^(9/2) - 999*q^(7/2) - 454*q^(5/2) - 197*q^(3/2) - 81*q^(1/2) - 27*q^(-1/2) - 9*q^(-3/2))*x1^(9/2)*x2^(19/2) + (3*q^(53/2) + 27*q^(51/2) + 57*q^(49/2) + 148*q^(47/2) + 288*q^(45/2) + 577*q^(43/2) + 1074*q^(41/2) + 1861*q^(39/2) + 2914*q^(37/2) + 4339*q^(35/2) + 5948*q^(33/2) + 7651*q^(31/2) + 8547*q^(29/2) + 8928*q^(27/2) + 8337*q^(25/2) + 7040*q^(23/2) + 5147*q^(21/2) + 3478*q^(19/2) + 1983*q^(17/2) + 1026*q^(15/2) + 439*q^(13/2) + 177*q^(11/2) + 55*q^(9/2) + 19*q^(7/2) + 2*q^(5/2))*x1^(11/2)*x2^(19/2) + (-17*q^(55/2) - 45*q^(53/2) - 106*q^(51/2) - 210*q^(49/2) - 388*q^(47/2) - 652*q^(45/2) - 1099*q^(43/2) - 1432*q^(41/2) - 1840*q^(39/2) - 2112*q^(37/2) - 2275*q^(35/2) - 2154*q^(33/2) - 1902*q^(31/2) - 1498*q^(29/2) - 1103*q^(27/2) - 698*q^(25/2) - 392*q^(23/2) - 193*q^(21/2) - 79*q^(19/2) - 24*q^(17/2) - 6*q^(15/2))*x1^(13/2)*x2^(19/2) + (36*q^(57/2) + 48*q^(55/2) + 90*q^(53/2) + 129*q^(51/2) + 186*q^(49/2) + 222*q^(47/2) + 264*q^(45/2) + 252*q^(43/2) + 255*q^(41/2) + 219*q^(39/2) + 183*q^(37/2) + 126*q^(35/2) + 90*q^(33/2) + 48*q^(31/2) + 27*q^(29/2) + 9*q^(27/2) + 3*q^(25/2))*x1^(15/2)*x2^(19/2)

(1/2, 5/2)

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

q^(-23/2)

(-q^(1/2))*x1^(-1/2)*x2^(-5/2) + (-7*q^(1/2))*x1^(-1/2)*x2^(-7/2) + (3*q^(3/2))*x1^(-3/2)*x2^(-7/2) + (-5*q^(3/2) - 28*q^(1/2) - 2*q^(-1/2))*x1^(-1/2)*x2^(-9/2) + (7*q^(5/2) + 21*q^(3/2) + 2*q^(1/2))*x1^(-3/2)*x2^(-9/2) + (-6*q^(7/2) - 3*q^(5/2))*x1^(-5/2)*x2^(-9/2) + (-q^(7/2) - 15*q^(5/2) - 34*q^(3/2) - 92*q^(1/2) - 14*q^(-1/2) - 3*q^(-3/2))*x1^(-1/2)*x2^(-11/2) + (3*q^(9/2) + 20*q^(7/2) + 61*q^(5/2) + 96*q^(3/2) + 20*q^(1/2) + 3*q^(-1/2))*x1^(-3/2)*x2^(-11/2) + (-9*q^(11/2) - 21*q^(9/2) - 54*q^(7/2) - 27*q^(5/2) - 6*q^(3/2))*x1^(-5/2)*x2^(-11/2) + (10*q^(13/2) + 8*q^(11/2) + 8*q^(9/2) + q^(7/2))*x1^(-7/2)*x2^(-11/2) + (-3*q^(11/2) - 15*q^(9/2) - 44*q^(7/2) - 108*q^(5/2) - 162*q^(3/2) - 273*q^(1/2) - 71*q^(-1/2) - 20*q^(-3/2) - 4*q^(-5/2) - 4*q^(-7/2))*x1^(-1/2)*x2^(-13/2) + (q^(15/2) + 9*q^(13/2) + 26*q^(11/2) + 79*q^(9/2) + 201*q^(7/2) + 333*q^(5/2) + 376*q^(3/2) + 121*q^(1/2) + 31*q^(-1/2) + 5*q^(-3/2) + 3*q^(-5/2))*x1^(-3/2)*x2^(-13/2) + (-3*q^(17/2) - 21*q^(15/2) - 46*q^(13/2) - 136*q^(11/2) - 224*q^(9/2) - 311*q^(7/2) - 173*q^(5/2) - 58*q^(3/2) - 10*q^(1/2) - 2*q^(-1/2))*x1^(-5/2)*x2^(-13/2) + (11*q^(19/2) + 27*q^(17/2) + 58*q^(15/2) + 122*q^(13/2) + 104*q^(11/2) + 79*q^(9/2) + 25*q^(7/2) + 6*q^(5/2))*x1^(-7/2)*x2^(-13/2) + (-15*q^(21/2) - 15*q^(19/2) - 21*q^(17/2) - 18*q^(15/2) - 9*q^(13/2) - 3*q^(11/2))*x1^(-9/2)*x2^(-13/2) + (-3*q^(17/2) - 10*q^(15/2) - 42*q^(13/2) - 79*q^(11/2) - 194*q^(9/2) - 333*q^(7/2) - 538*q^(5/2) - 634*q^(3/2) - 793*q^(1/2) - 286*q^(-1/2) - 104*q^(-3/2) - 27*q^(-5/2) - 31*q^(-7/2) - 17*q^(-9/2) - 10*q^(-11/2))*x1^(-1/2)*x2^(-15/2) + (3*q^(21/2) + 12*q^(19/2) + 35*q^(17/2) + 86*q^(15/2) + 186*q^(13/2) + 390*q^(11/2) + 750*q^(9/2) + 1210*q^(7/2) + 1492*q^(5/2) + 1386*q^(3/2) + 581*q^(1/2) + 197*q^(-1/2) + 57*q^(-3/2) + 38*q^(-5/2) + 19*q^(-7/2) + 8*q^(-9/2))*x1^(-3/2)*x2^(-15/2) + (-q^(25/2) - 9*q^(23/2) - 24*q^(21/2) - 77*q^(19/2) - 161*q^(17/2) - 368*q^(15/2) - 645*q^(13/2) - 1147*q^(11/2) - 1453*q^(9/2) - 1531*q^(7/2) - 908*q^(5/2) - 385*q^(3/2) - 110*q^(1/2) - 38*q^(-1/2) - 13*q^(-3/2) - 6*q^(-5/2))*x1^(-5/2)*x2^(-15/2) + (3*q^(27/2) + 23*q^(25/2) + 49*q^(23/2) + 125*q^(21/2) + 272*q^(19/2) + 485*q^(17/2) + 721*q^(15/2) + 951*q^(13/2) + 794*q^(11/2) + 553*q^(9/2) + 237*q^(7/2) + 83*q^(5/2) + 18*q^(3/2) + 6*q^(1/2))*x1^(-7/2)*x2^(-15/2) + (-13*q^(29/2) - 33*q^(27/2) - 74*q^(25/2) - 138*q^(23/2) - 266*q^(21/2) - 281*q^(19/2) - 298*q^(17/2) - 229*q^(15/2) - 132*q^(13/2) - 55*q^(11/2) - 18*q^(9/2) - 2*q^(7/2))*x1^(-9/2)*x2^(-15/2) + (21*q^(31/2) + 24*q^(29/2) + 39*q^(27/2) + 45*q^(25/2) + 48*q^(23/2) + 30*q^(21/2) + 24*q^(19/2) + 9*q^(17/2) + 3*q^(15/2))*x1^(-11/2)*x2^(-15/2) + (-q^(25/2) - 8*q^(23/2) - 20*q^(21/2) - 56*q^(19/2) - 132*q^(17/2) - 249*q^(15/2) - 493*q^(13/2) - 784*q^(11/2) - 1282*q^(9/2) - 1744*q^(7/2) - 2214*q^(5/2) - 2270*q^(3/2) - 2299*q^(1/2) - 1042*q^(-1/2) - 441*q^(-3/2) - 151*q^(-5/2) - 147*q^(-7/2) - 135*q^(-9/2) - 111*q^(-11/2) - 47*q^(-13/2) - 22*q^(-15/2) - 6*q^(-17/2))*x1^(-1/2)*x2^(-17/2) + (3*q^(29/2) + 12*q^(27/2) + 37*q^(25/2) + 82*q^(23/2) + 180*q^(21/2) + 358*q^(19/2) + 666*q^(17/2) + 1192*q^(15/2) + 1979*q^(13/2) + 3204*q^(11/2) + 4624*q^(9/2) + 5831*q^(7/2) + 6024*q^(5/2) + 4974*q^(3/2) + 2456*q^(1/2) + 1005*q^(-1/2) + 389*q^(-3/2) + 283*q^(-5/2) + 219*q^(-7/2) + 145*q^(-9/2) + 58*q^(-11/2) + 23*q^(-13/2) + 5*q^(-15/2))*x1^(-3/2)*x2^(-17/2) + (-3*q^(33/2) - 12*q^(31/2) - 35*q^(29/2) - 86*q^(27/2) - 181*q^(25/2) - 390*q^(23/2) - 720*q^(21/2) - 1348*q^(19/2) - 2218*q^(17/2) - 3653*q^(15/2) - 5297*q^(13/2) - 7105*q^(11/2) - 7640*q^(9/2) - 6890*q^(7/2) - 4287*q^(5/2) - 2079*q^(3/2) - 802*q^(1/2) - 360*q^(-1/2) - 195*q^(-3/2) - 124*q^(-5/2) - 51*q^(-7/2) - 18*q^(-9/2) - 4*q^(-11/2))*x1^(-5/2)*x2^(-17/2) + (q^(37/2) + 9*q^(35/2) + 24*q^(33/2) + 77*q^(31/2) + 163*q^(29/2) + 344*q^(27/2) + 704*q^(25/2) + 1226*q^(23/2) + 2093*q^(21/2) + 3264*q^(19/2) + 4603*q^(17/2) + 5593*q^(15/2) + 5961*q^(13/2) + 4814*q^(11/2) + 3257*q^(9/2) + 1638*q^(7/2) + 707*q^(5/2) + 257*q^(3/2) + 115*q^(1/2) + 40*q^(-1/2) + 18*q^(-3/2) + 3*q^(-5/2))*x1^(-7/2)*x2^(-17/2) + (-3*q^(39/2) - 25*q^(37/2) - 53*q^(35/2) - 136*q^(33/2) - 265*q^(31/2) - 565*q^(29/2) - 954*q^(27/2) - 1520*q^(25/2) - 2134*q^(23/2) - 2768*q^(21/2) - 2792*q^(19/2) - 2566*q^(17/2) - 1913*q^(15/2) - 1169*q^(13/2) - 578*q^(11/2) - 245*q^(9/2) - 77*q^(7/2) - 24*q^(5/2) - 6*q^(3/2))*x1^(-9/2)*x2^(-17/2) + (15*q^(41/2) + 39*q^(39/2) + 90*q^(37/2) + 174*q^(35/2) + 312*q^(33/2) + 546*q^(31/2) + 669*q^(29/2) + 795*q^(27/2) + 810*q^(25/2) + 729*q^(23/2) + 519*q^(21/2) + 357*q^(19/2) + 180*q^(17/2) + 81*q^(15/2) + 24*q^(13/2) + 6*q^(11/2))*x1^(-11/2)*x2^(-17/2) + (-28*q^(43/2) - 35*q^(41/2) - 62*q^(39/2) - 82*q^(37/2) - 107*q^(35/2) - 108*q^(33/2) - 101*q^(31/2) - 81*q^(29/2) - 62*q^(27/2) - 37*q^(25/2) - 17*q^(23/2) - 8*q^(21/2) - q^(19/2))*x1^(-13/2)*x2^(-17/2) + (-3*q^(33/2) - 9*q^(31/2) - 30*q^(29/2) - 61*q^(27/2) - 150*q^(25/2) - 275*q^(23/2) - 538*q^(21/2) - 929*q^(19/2) - 1579*q^(17/2) - 2374*q^(15/2) - 3628*q^(13/2) - 4872*q^(11/2) - 6465*q^(9/2) - 7539*q^(7/2) - 8257*q^(5/2) - 7665*q^(3/2) - 6774*q^(1/2) - 3548*q^(-1/2) - 1708*q^(-3/2) - 720*q^(-5/2) - 643*q^(-7/2) - 676*q^(-9/2) - 691*q^(-11/2) - 464*q^(-13/2) - 288*q^(-15/2) - 145*q^(-17/2) - 66*q^(-19/2) - 24*q^(-21/2) - 14*q^(-23/2))*x1^(-1/2)*x2^(-19/2) + (q^(39/2) + 9*q^(37/2) + 26*q^(35/2) + 66*q^(33/2) + 146*q^(31/2) + 290*q^(29/2) + 551*q^(27/2) + 994*q^(25/2) + 1701*q^(23/2) + 2823*q^(21/2) + 4508*q^(19/2) + 6889*q^(17/2) + 10191*q^(15/2) + 14303*q^(13/2) + 19039*q^(11/2) + 22975*q^(9/2) + 24789*q^(7/2) + 22863*q^(5/2) + 17579*q^(3/2) + 9630*q^(1/2) + 4530*q^(-1/2) + 2152*q^(-3/2) + 1655*q^(-5/2) + 1520*q^(-7/2) + 1268*q^(-9/2) + 800*q^(-11/2) + 446*q^(-13/2) + 208*q^(-15/2) + 86*q^(-17/2) + 32*q^(-19/2) + 12*q^(-21/2))*x1^(-3/2)*x2^(-19/2) + (-3*q^(43/2) - 12*q^(41/2) - 39*q^(39/2) - 85*q^(37/2) - 193*q^(35/2) - 375*q^(33/2) - 721*q^(31/2) - 1276*q^(29/2) - 2242*q^(27/2) - 3665*q^(25/2) - 5979*q^(23/2) - 9122*q^(21/2) - 13771*q^(19/2) - 19384*q^(17/2) - 26473*q^(15/2) - 32732*q^(13/2) - 37008*q^(11/2) - 35542*q^(9/2) - 29343*q^(7/2) - 18799*q^(5/2) - 10060*q^(3/2) - 4706*q^(1/2) - 2565*q^(-1/2) - 1719*q^(-3/2) - 1308*q^(-5/2) - 823*q^(-7/2) - 455*q^(-9/2) - 206*q^(-11/2) - 83*q^(-13/2) - 26*q^(-15/2) - 10*q^(-17/2))*x1^(-5/2)*x2^(-19/2) + (3*q^(47/2) + 12*q^(45/2) + 35*q^(43/2) + 86*q^(41/2) + 182*q^(39/2) + 391*q^(37/2) + 741*q^(35/2) + 1364*q^(33/2) + 2417*q^(31/2) + 4031*q^(29/2) + 6468*q^(27/2) + 10084*q^(25/2) + 14700*q^(23/2) + 20639*q^(21/2) + 26985*q^(19/2) + 32417*q^(17/2) + 34561*q^(15/2) + 32663*q^(13/2) + 25581*q^(11/2) + 17236*q^(9/2) + 9578*q^(7/2) + 4810*q^(5/2) + 2291*q^(3/2) + 1267*q^(1/2) + 703*q^(-1/2) + 405*q^(-3/2) + 189*q^(-5/2) + 77*q^(-7/2) + 24*q^(-9/2) + 8*q^(-11/2))*x1^(-7/2)*x2^(-19/2) + (-q^(51/2) - 9*q^(49/2) - 24*q^(47/2) - 79*q^(45/2) - 165*q^(43/2) - 352*q^(41/2) - 688*q^(39/2) - 1319*q^(37/2) - 2248*q^(35/2) - 3822*q^(33/2) - 5952*q^(31/2) - 9106*q^(29/2) - 12664*q^(27/2) - 16659*q^(25/2) - 19868*q^(23/2) - 21818*q^(21/2) - 20627*q^(19/2) - 17620*q^(17/2) - 12921*q^(15/2) - 8240*q^(13/2) - 4520*q^(11/2) - 2260*q^(9/2) - 999*q^(7/2) - 454*q^(5/2) - 197*q^(3/2) - 81*q^(1/2) - 27*q^(-1/2) - 9*q^(-3/2))*x1^(-9/2)*x2^(-19/2) + (3*q^(53/2) + 27*q^(51/2) + 57*q^(49/2) + 148*q^(47/2) + 288*q^(45/2) + 577*q^(43/2) + 1074*q^(41/2) + 1861*q^(39/2) + 2914*q^(37/2) + 4339*q^(35/2) + 5948*q^(33/2) + 7651*q^(31/2) + 8547*q^(29/2) + 8928*q^(27/2) + 8337*q^(25/2) + 7040*q^(23/2) + 5147*q^(21/2) + 3478*q^(19/2) + 1983*q^(17/2) + 1026*q^(15/2) + 439*q^(13/2) + 177*q^(11/2) + 55*q^(9/2) + 19*q^(7/2) + 2*q^(5/2))*x1^(-11/2)*x2^(-19/2) + (-17*q^(55/2) - 45*q^(53/2) - 106*q^(51/2) - 210*q^(49/2) - 388*q^(47/2) - 652*q^(45/2) - 1099*q^(43/2) - 1432*q^(41/2) - 1840*q^(39/2) - 2112*q^(37/2) - 2275*q^(35/2) - 2154*q^(33/2) - 1902*q^(31/2) - 1498*q^(29/2) - 1103*q^(27/2) - 698*q^(25/2) - 392*q^(23/2) - 193*q^(21/2) - 79*q^(19/2) - 24*q^(17/2) - 6*q^(15/2))*x1^(-13/2)*x2^(-19/2) + (36*q^(57/2) + 48*q^(55/2) + 90*q^(53/2) + 129*q^(51/2) + 186*q^(49/2) + 222*q^(47/2) + 264*q^(45/2) + 252*q^(43/2) + 255*q^(41/2) + 219*q^(39/2) + 183*q^(37/2) + 126*q^(35/2) + 90*q^(33/2) + 48*q^(31/2) + 27*q^(29/2) + 9*q^(27/2) + 3*q^(25/2))*x1^(-15/2)*x2^(-19/2)

Braid

Braid word	Components	Crossings	Strands
`[2, 1, -2, -3, -4, -3, 2, 1, 2, -3, 4, -3, 2, 2, -3]`	2	15	5

Multivariable Alexander polynomial

Δ_L
`-A1^(1/2)A2^(5/2) + 7A1^(1/2)A2^(3/2) - 14A1^(1/2)A2^(1/2) + 12A1^(1/2)A2^(-1/2) - 3A1^(1/2)A2^(-3/2) - 3A1^(-1/2)A2^(3/2) + 12A1^(-1/2)A2^(1/2) - 14A1^(-1/2)A2^(-1/2) + 7A1^(-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^(-5)A1^(-1)A2^(-3) + 8m^(-4)A1^(-1)A2^(-2) + m^(-4)A2^(-3) + 21m^(-3)A1^(-1)A2^(-1) + 11m^(-3)A2^(-2) + 26m^(-2)A1^(-1) + 36m^(-2)A2^(-1) + 3m^(-2)A1A2^(-2) + 15m^(-1)A1^(-1)A2 + 52m^(-1) + 15m^(-1)A1A2^(-1) + 3A1^(-1)A2^2 + 36A2 + 26A1 + 11mA2^2 + 21mA1A2 + m^2A2^3 + 8m^2A1A2^2 + m^3A1A2^3`

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

Record

FL/HFL Links

`orderOption(int)`	`648`
`namestring`	`L11a118{1}`
`statusstring`	`success`
`slugstring`	`L11a118_1_8d6ef882`
`result_filestring`	`details/L11a118_1_8d6ef882.json`
`complexity_scoreOption(int)`	`242`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`11`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`296`
`wall_secondsOption(float)`	`0.003408`
`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`	`1`
`detailsRowRef(FLHFLLinks)`	{ "dataset": "FLHFLLinks", "key": "L11a118_1_8d6ef882" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L11a118_1_8d6ef882`