L11a24{1} - HFL and FL

details/L11a24_1_db7d29d4.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^(-31/2)`	`{"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) - 4q^(-1/2))x1^(1/2)x2^(9/2) + (7q^(5/2) + 21q^(3/2) + 4q^(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) - 95q^(1/2) - 27q^(-1/2) - 12q^(-3/2) - q^(-5/2))x1^(1/2)x2^(11/2) + (3q^(9/2) + 20q^(7/2) + 61q^(5/2) + 104q^(3/2) + 39q^(1/2) + 13q^(-1/2) + q^(-3/2))x1^(3/2)x2^(11/2) + (-9q^(11/2) - 21q^(9/2) - 54q^(7/2) - 32q^(5/2) - 12q^(3/2) - q^(1/2))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) - 171q^(3/2) - 301q^(1/2) - 139q^(-1/2) - 82q^(-3/2) - 37q^(-5/2) - 15q^(-7/2) - 3q^(-9/2))x1^(1/2)x2^(13/2) + (q^(15/2) + 9q^(13/2) + 26q^(11/2) + 79q^(9/2) + 202q^(7/2) + 359q^(5/2) + 458q^(3/2) + 257q^(1/2) + 132q^(-1/2) + 52q^(-3/2) + 17q^(-5/2) + 3q^(-7/2))x1^(3/2)x2^(13/2) + (-3q^(17/2) - 21q^(15/2) - 46q^(13/2) - 136q^(11/2) - 232q^(9/2) - 343q^(7/2) - 247q^(5/2) - 135q^(3/2) - 52q^(1/2) - 16q^(-1/2) - 3q^(-3/2))x1^(5/2)x2^(13/2) + (11q^(19/2) + 27q^(17/2) + 58q^(15/2) + 122q^(13/2) + 113q^(11/2) + 94q^(9/2) + 43q^(7/2) + 15q^(5/2) + 3q^(3/2))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) - 340q^(7/2) - 569q^(5/2) - 726q^(3/2) - 984q^(1/2) - 605q^(-1/2) - 432q^(-3/2) - 264q^(-5/2) - 173q^(-7/2) - 79q^(-9/2) - 42q^(-11/2) - 10q^(-13/2) - 3q^(-15/2))x1^(1/2)x2^(15/2) + (3q^(21/2) + 12q^(19/2) + 35q^(17/2) + 86q^(15/2) + 186q^(13/2) + 393q^(11/2) + 770q^(9/2) + 1312q^(7/2) + 1796q^(5/2) + 1983q^(3/2) + 1390q^(1/2) + 912q^(-1/2) + 525q^(-3/2) + 286q^(-5/2) + 126q^(-7/2) + 53q^(-9/2) + 13q^(-11/2) + 3q^(-13/2))x1^(3/2)x2^(15/2) + (-q^(25/2) - 9q^(23/2) - 24q^(21/2) - 77q^(19/2) - 161q^(17/2) - 369q^(15/2) - 662q^(13/2) - 1207q^(11/2) - 1659q^(9/2) - 1977q^(7/2) - 1580q^(5/2) - 1075q^(3/2) - 600q^(1/2) - 315q^(-1/2) - 132q^(-3/2) - 54q^(-5/2) - 13q^(-7/2) - 3q^(-9/2))x1^(5/2)x2^(15/2) + (3q^(27/2) + 23q^(25/2) + 49q^(23/2) + 125q^(21/2) + 272q^(19/2) + 495q^(17/2) + 756q^(15/2) + 1048q^(13/2) + 999q^(11/2) + 834q^(9/2) + 518q^(7/2) + 285q^(5/2) + 123q^(3/2) + 52q^(1/2) + 13q^(-1/2) + 3q^(-3/2))x1^(7/2)x2^(15/2) + (-13q^(29/2) - 33q^(27/2) - 74q^(25/2) - 138q^(23/2) - 266q^(21/2) - 295q^(19/2) - 325q^(17/2) - 272q^(15/2) - 183q^(13/2) - 95q^(11/2) - 45q^(9/2) - 13q^(7/2) - 3q^(5/2))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) - 494q^(13/2) - 804q^(11/2) - 1337q^(9/2) - 1902q^(7/2) - 2564q^(5/2) - 2945q^(3/2) - 3367q^(1/2) - 2521q^(-1/2) - 1989q^(-3/2) - 1453q^(-5/2) - 1098q^(-7/2) - 731q^(-9/2) - 475q^(-11/2) - 246q^(-13/2) - 131q^(-15/2) - 56q^(-17/2) - 20q^(-19/2) - 8q^(-21/2) - q^(-23/2))x1^(1/2)x2^(17/2) + (3q^(29/2) + 12q^(27/2) + 37q^(25/2) + 82q^(23/2) + 180q^(21/2) + 358q^(19/2) + 669q^(17/2) + 1207q^(15/2) + 2045q^(13/2) + 3393q^(11/2) + 5162q^(9/2) + 7087q^(7/2) + 8423q^(5/2) + 8634q^(3/2) + 6926q^(1/2) + 5224q^(-1/2) + 3673q^(-3/2) + 2489q^(-5/2) + 1542q^(-7/2) + 890q^(-9/2) + 445q^(-11/2) + 211q^(-13/2) + 84q^(-15/2) + 29q^(-17/2) + 9q^(-19/2) + q^(-21/2))x1^(3/2)x2^(17/2) + (-3q^(33/2) - 12q^(31/2) - 35q^(29/2) - 86q^(27/2) - 181q^(25/2) - 390q^(23/2) - 723q^(21/2) - 1362q^(19/2) - 2281q^(17/2) - 3837q^(15/2) - 5808q^(13/2) - 8313q^(11/2) - 10078q^(9/2) - 10789q^(7/2) - 9277q^(5/2) - 7125q^(3/2) - 4904q^(1/2) - 3200q^(-1/2) - 1899q^(-3/2) - 1063q^(-5/2) - 520q^(-7/2) - 236q^(-9/2) - 92q^(-11/2) - 30q^(-13/2) - 9q^(-15/2) - q^(-17/2))x1^(5/2)x2^(17/2) + (q^(37/2) + 9q^(35/2) + 24q^(33/2) + 77q^(31/2) + 163q^(29/2) + 344q^(27/2) + 705q^(25/2) + 1245q^(23/2) + 2150q^(21/2) + 3433q^(19/2) + 5033q^(17/2) + 6536q^(15/2) + 7654q^(13/2) + 7366q^(11/2) + 6303q^(9/2) + 4612q^(7/2) + 3083q^(5/2) + 1852q^(3/2) + 1046q^(1/2) + 516q^(-1/2) + 239q^(-3/2) + 92q^(-5/2) + 30q^(-7/2) + 9q^(-9/2) + q^(-11/2))x1^(7/2)x2^(17/2) + (-3q^(39/2) - 25q^(37/2) - 53q^(35/2) - 136q^(33/2) - 265q^(31/2) - 565q^(29/2) - 966q^(27/2) - 1563q^(25/2) - 2246q^(23/2) - 3022q^(21/2) - 3293q^(19/2) - 3316q^(17/2) - 2857q^(15/2) - 2162q^(13/2) - 1430q^(11/2) - 865q^(9/2) - 455q^(7/2) - 219q^(5/2) - 90q^(3/2) - 30q^(1/2) - 9q^(-1/2) - q^(-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) + 689q^(29/2) + 837q^(27/2) + 886q^(25/2) + 840q^(23/2) + 658q^(21/2) + 490q^(19/2) + 299q^(17/2) + 167q^(15/2) + 75q^(13/2) + 29q^(11/2) + 9q^(9/2) + q^(7/2))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) - 932q^(19/2) - 1599q^(17/2) - 2447q^(15/2) - 3809q^(13/2) - 5296q^(11/2) - 7318q^(9/2) - 9125q^(7/2) - 10922q^(5/2) - 11717q^(3/2) - 12293q^(1/2) - 10300q^(-1/2) - 8764q^(-3/2) - 7072q^(-5/2) - 5838q^(-7/2) - 4503q^(-9/2) - 3443q^(-11/2) - 2296q^(-13/2) - 1527q^(-15/2) - 903q^(-17/2) - 526q^(-19/2) - 272q^(-21/2) - 150q^(-23/2) - 61q^(-25/2) - 30q^(-27/2) - 9q^(-29/2) - 3q^(-31/2))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) + 995q^(25/2) + 1711q^(23/2) + 2859q^(21/2) + 4620q^(19/2) + 7186q^(17/2) + 10898q^(15/2) + 15857q^(13/2) + 22213q^(11/2) + 29016q^(9/2) + 35126q^(7/2) + 38505q^(5/2) + 38223q^(3/2) + 33151q^(1/2) + 27387q^(-1/2) + 21607q^(-3/2) + 16624q^(-5/2) + 12146q^(-7/2) + 8475q^(-9/2) + 5449q^(-11/2) + 3351q^(-13/2) + 1905q^(-15/2) + 1033q^(-17/2) + 519q^(-19/2) + 251q^(-21/2) + 103q^(-23/2) + 42q^(-25/2) + 12q^(-27/2) + 3q^(-29/2))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) - 1279q^(29/2) - 2256q^(27/2) - 3716q^(25/2) - 6119q^(23/2) - 9488q^(21/2) - 14615q^(19/2) - 21276q^(17/2) - 30357q^(15/2) - 40263q^(13/2) - 50271q^(11/2) - 56254q^(9/2) - 57428q^(7/2) - 51576q^(5/2) - 42990q^(3/2) - 33358q^(1/2) - 24923q^(-1/2) - 17549q^(-3/2) - 11878q^(-5/2) - 7446q^(-7/2) - 4465q^(-9/2) - 2467q^(-11/2) - 1306q^(-13/2) - 628q^(-15/2) - 294q^(-17/2) - 115q^(-19/2) - 45q^(-21/2) - 12q^(-23/2) - 3q^(-25/2))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) + 1367q^(33/2) + 2431q^(31/2) + 4093q^(29/2) + 6637q^(27/2) + 10507q^(25/2) + 15685q^(23/2) + 22720q^(21/2) + 31099q^(19/2) + 39963q^(17/2) + 47064q^(15/2) + 50971q^(13/2) + 49084q^(11/2) + 43375q^(9/2) + 34885q^(7/2) + 26359q^(5/2) + 18630q^(3/2) + 12594q^(1/2) + 7918q^(-1/2) + 4760q^(-3/2) + 2637q^(-5/2) + 1385q^(-7/2) + 664q^(-9/2) + 304q^(-11/2) + 118q^(-13/2) + 45q^(-15/2) + 12q^(-17/2) + 3q^(-19/2))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) - 1320q^(37/2) - 2269q^(35/2) - 3885q^(33/2) - 6128q^(31/2) - 9514q^(29/2) - 13601q^(27/2) - 18532q^(25/2) - 23281q^(23/2) - 27421q^(21/2) - 28865q^(19/2) - 28233q^(17/2) - 24971q^(15/2) - 20367q^(13/2) - 15238q^(11/2) - 10751q^(9/2) - 7001q^(7/2) - 4339q^(5/2) - 2479q^(3/2) - 1334q^(1/2) - 652q^(-1/2) - 302q^(-3/2) - 118q^(-5/2) - 45q^(-7/2) - 12q^(-9/2) - 3q^(-11/2))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) + 1875q^(39/2) + 2965q^(37/2) + 4475q^(35/2) + 6248q^(33/2) + 8263q^(31/2) + 9677q^(29/2) + 10684q^(27/2) + 10754q^(25/2) + 10028q^(23/2) + 8422q^(21/2) + 6661q^(19/2) + 4760q^(17/2) + 3208q^(15/2) + 1954q^(13/2) + 1126q^(11/2) + 579q^(9/2) + 283q^(7/2) + 115q^(5/2) + 45q^(3/2) + 12q^(1/2) + 3q^(-1/2))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) - 1459q^(41/2) - 1900q^(39/2) - 2229q^(37/2) - 2464q^(35/2) - 2430q^(33/2) - 2250q^(31/2) - 1882q^(29/2) - 1493q^(27/2) - 1055q^(25/2) - 686q^(23/2) - 403q^(21/2) - 217q^(19/2) - 99q^(17/2) - 42q^(15/2) - 12q^(13/2) - 3q^(11/2))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^(-31/2)`			(-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) - 4q^(-1/2))x1^(-1/2)x2^(-9/2) + (7q^(5/2) + 21q^(3/2) + 4q^(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) - 95q^(1/2) - 27q^(-1/2) - 12q^(-3/2) - q^(-5/2))x1^(-1/2)x2^(-11/2) + (3q^(9/2) + 20q^(7/2) + 61q^(5/2) + 104q^(3/2) + 39q^(1/2) + 13q^(-1/2) + q^(-3/2))x1^(-3/2)x2^(-11/2) + (-9q^(11/2) - 21q^(9/2) - 54q^(7/2) - 32q^(5/2) - 12q^(3/2) - q^(1/2))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) - 171q^(3/2) - 301q^(1/2) - 139q^(-1/2) - 82q^(-3/2) - 37q^(-5/2) - 15q^(-7/2) - 3q^(-9/2))x1^(-1/2)x2^(-13/2) + (q^(15/2) + 9q^(13/2) + 26q^(11/2) + 79q^(9/2) + 202q^(7/2) + 359q^(5/2) + 458q^(3/2) + 257q^(1/2) + 132q^(-1/2) + 52q^(-3/2) + 17q^(-5/2) + 3q^(-7/2))x1^(-3/2)x2^(-13/2) + (-3q^(17/2) - 21q^(15/2) - 46q^(13/2) - 136q^(11/2) - 232q^(9/2) - 343q^(7/2) - 247q^(5/2) - 135q^(3/2) - 52q^(1/2) - 16q^(-1/2) - 3q^(-3/2))x1^(-5/2)x2^(-13/2) + (11q^(19/2) + 27q^(17/2) + 58q^(15/2) + 122q^(13/2) + 113q^(11/2) + 94q^(9/2) + 43q^(7/2) + 15q^(5/2) + 3q^(3/2))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) - 340q^(7/2) - 569q^(5/2) - 726q^(3/2) - 984q^(1/2) - 605q^(-1/2) - 432q^(-3/2) - 264q^(-5/2) - 173q^(-7/2) - 79q^(-9/2) - 42q^(-11/2) - 10q^(-13/2) - 3q^(-15/2))x1^(-1/2)x2^(-15/2) + (3q^(21/2) + 12q^(19/2) + 35q^(17/2) + 86q^(15/2) + 186q^(13/2) + 393q^(11/2) + 770q^(9/2) + 1312q^(7/2) + 1796q^(5/2) + 1983q^(3/2) + 1390q^(1/2) + 912q^(-1/2) + 525q^(-3/2) + 286q^(-5/2) + 126q^(-7/2) + 53q^(-9/2) + 13q^(-11/2) + 3q^(-13/2))x1^(-3/2)x2^(-15/2) + (-q^(25/2) - 9q^(23/2) - 24q^(21/2) - 77q^(19/2) - 161q^(17/2) - 369q^(15/2) - 662q^(13/2) - 1207q^(11/2) - 1659q^(9/2) - 1977q^(7/2) - 1580q^(5/2) - 1075q^(3/2) - 600q^(1/2) - 315q^(-1/2) - 132q^(-3/2) - 54q^(-5/2) - 13q^(-7/2) - 3q^(-9/2))x1^(-5/2)x2^(-15/2) + (3q^(27/2) + 23q^(25/2) + 49q^(23/2) + 125q^(21/2) + 272q^(19/2) + 495q^(17/2) + 756q^(15/2) + 1048q^(13/2) + 999q^(11/2) + 834q^(9/2) + 518q^(7/2) + 285q^(5/2) + 123q^(3/2) + 52q^(1/2) + 13q^(-1/2) + 3q^(-3/2))x1^(-7/2)x2^(-15/2) + (-13q^(29/2) - 33q^(27/2) - 74q^(25/2) - 138q^(23/2) - 266q^(21/2) - 295q^(19/2) - 325q^(17/2) - 272q^(15/2) - 183q^(13/2) - 95q^(11/2) - 45q^(9/2) - 13q^(7/2) - 3q^(5/2))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) - 494q^(13/2) - 804q^(11/2) - 1337q^(9/2) - 1902q^(7/2) - 2564q^(5/2) - 2945q^(3/2) - 3367q^(1/2) - 2521q^(-1/2) - 1989q^(-3/2) - 1453q^(-5/2) - 1098q^(-7/2) - 731q^(-9/2) - 475q^(-11/2) - 246q^(-13/2) - 131q^(-15/2) - 56q^(-17/2) - 20q^(-19/2) - 8q^(-21/2) - q^(-23/2))x1^(-1/2)x2^(-17/2) + (3q^(29/2) + 12q^(27/2) + 37q^(25/2) + 82q^(23/2) + 180q^(21/2) + 358q^(19/2) + 669q^(17/2) + 1207q^(15/2) + 2045q^(13/2) + 3393q^(11/2) + 5162q^(9/2) + 7087q^(7/2) + 8423q^(5/2) + 8634q^(3/2) + 6926q^(1/2) + 5224q^(-1/2) + 3673q^(-3/2) + 2489q^(-5/2) + 1542q^(-7/2) + 890q^(-9/2) + 445q^(-11/2) + 211q^(-13/2) + 84q^(-15/2) + 29q^(-17/2) + 9q^(-19/2) + q^(-21/2))x1^(-3/2)x2^(-17/2) + (-3q^(33/2) - 12q^(31/2) - 35q^(29/2) - 86q^(27/2) - 181q^(25/2) - 390q^(23/2) - 723q^(21/2) - 1362q^(19/2) - 2281q^(17/2) - 3837q^(15/2) - 5808q^(13/2) - 8313q^(11/2) - 10078q^(9/2) - 10789q^(7/2) - 9277q^(5/2) - 7125q^(3/2) - 4904q^(1/2) - 3200q^(-1/2) - 1899q^(-3/2) - 1063q^(-5/2) - 520q^(-7/2) - 236q^(-9/2) - 92q^(-11/2) - 30q^(-13/2) - 9q^(-15/2) - q^(-17/2))x1^(-5/2)x2^(-17/2) + (q^(37/2) + 9q^(35/2) + 24q^(33/2) + 77q^(31/2) + 163q^(29/2) + 344q^(27/2) + 705q^(25/2) + 1245q^(23/2) + 2150q^(21/2) + 3433q^(19/2) + 5033q^(17/2) + 6536q^(15/2) + 7654q^(13/2) + 7366q^(11/2) + 6303q^(9/2) + 4612q^(7/2) + 3083q^(5/2) + 1852q^(3/2) + 1046q^(1/2) + 516q^(-1/2) + 239q^(-3/2) + 92q^(-5/2) + 30q^(-7/2) + 9q^(-9/2) + q^(-11/2))x1^(-7/2)x2^(-17/2) + (-3q^(39/2) - 25q^(37/2) - 53q^(35/2) - 136q^(33/2) - 265q^(31/2) - 565q^(29/2) - 966q^(27/2) - 1563q^(25/2) - 2246q^(23/2) - 3022q^(21/2) - 3293q^(19/2) - 3316q^(17/2) - 2857q^(15/2) - 2162q^(13/2) - 1430q^(11/2) - 865q^(9/2) - 455q^(7/2) - 219q^(5/2) - 90q^(3/2) - 30q^(1/2) - 9q^(-1/2) - q^(-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) + 689q^(29/2) + 837q^(27/2) + 886q^(25/2) + 840q^(23/2) + 658q^(21/2) + 490q^(19/2) + 299q^(17/2) + 167q^(15/2) + 75q^(13/2) + 29q^(11/2) + 9q^(9/2) + q^(7/2))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) - 932q^(19/2) - 1599q^(17/2) - 2447q^(15/2) - 3809q^(13/2) - 5296q^(11/2) - 7318q^(9/2) - 9125q^(7/2) - 10922q^(5/2) - 11717q^(3/2) - 12293q^(1/2) - 10300q^(-1/2) - 8764q^(-3/2) - 7072q^(-5/2) - 5838q^(-7/2) - 4503q^(-9/2) - 3443q^(-11/2) - 2296q^(-13/2) - 1527q^(-15/2) - 903q^(-17/2) - 526q^(-19/2) - 272q^(-21/2) - 150q^(-23/2) - 61q^(-25/2) - 30q^(-27/2) - 9q^(-29/2) - 3q^(-31/2))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) + 995q^(25/2) + 1711q^(23/2) + 2859q^(21/2) + 4620q^(19/2) + 7186q^(17/2) + 10898q^(15/2) + 15857q^(13/2) + 22213q^(11/2) + 29016q^(9/2) + 35126q^(7/2) + 38505q^(5/2) + 38223q^(3/2) + 33151q^(1/2) + 27387q^(-1/2) + 21607q^(-3/2) + 16624q^(-5/2) + 12146q^(-7/2) + 8475q^(-9/2) + 5449q^(-11/2) + 3351q^(-13/2) + 1905q^(-15/2) + 1033q^(-17/2) + 519q^(-19/2) + 251q^(-21/2) + 103q^(-23/2) + 42q^(-25/2) + 12q^(-27/2) + 3q^(-29/2))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) - 1279q^(29/2) - 2256q^(27/2) - 3716q^(25/2) - 6119q^(23/2) - 9488q^(21/2) - 14615q^(19/2) - 21276q^(17/2) - 30357q^(15/2) - 40263q^(13/2) - 50271q^(11/2) - 56254q^(9/2) - 57428q^(7/2) - 51576q^(5/2) - 42990q^(3/2) - 33358q^(1/2) - 24923q^(-1/2) - 17549q^(-3/2) - 11878q^(-5/2) - 7446q^(-7/2) - 4465q^(-9/2) - 2467q^(-11/2) - 1306q^(-13/2) - 628q^(-15/2) - 294q^(-17/2) - 115q^(-19/2) - 45q^(-21/2) - 12q^(-23/2) - 3q^(-25/2))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) + 1367q^(33/2) + 2431q^(31/2) + 4093q^(29/2) + 6637q^(27/2) + 10507q^(25/2) + 15685q^(23/2) + 22720q^(21/2) + 31099q^(19/2) + 39963q^(17/2) + 47064q^(15/2) + 50971q^(13/2) + 49084q^(11/2) + 43375q^(9/2) + 34885q^(7/2) + 26359q^(5/2) + 18630q^(3/2) + 12594q^(1/2) + 7918q^(-1/2) + 4760q^(-3/2) + 2637q^(-5/2) + 1385q^(-7/2) + 664q^(-9/2) + 304q^(-11/2) + 118q^(-13/2) + 45q^(-15/2) + 12q^(-17/2) + 3q^(-19/2))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) - 1320q^(37/2) - 2269q^(35/2) - 3885q^(33/2) - 6128q^(31/2) - 9514q^(29/2) - 13601q^(27/2) - 18532q^(25/2) - 23281q^(23/2) - 27421q^(21/2) - 28865q^(19/2) - 28233q^(17/2) - 24971q^(15/2) - 20367q^(13/2) - 15238q^(11/2) - 10751q^(9/2) - 7001q^(7/2) - 4339q^(5/2) - 2479q^(3/2) - 1334q^(1/2) - 652q^(-1/2) - 302q^(-3/2) - 118q^(-5/2) - 45q^(-7/2) - 12q^(-9/2) - 3q^(-11/2))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) + 1875q^(39/2) + 2965q^(37/2) + 4475q^(35/2) + 6248q^(33/2) + 8263q^(31/2) + 9677q^(29/2) + 10684q^(27/2) + 10754q^(25/2) + 10028q^(23/2) + 8422q^(21/2) + 6661q^(19/2) + 4760q^(17/2) + 3208q^(15/2) + 1954q^(13/2) + 1126q^(11/2) + 579q^(9/2) + 283q^(7/2) + 115q^(5/2) + 45q^(3/2) + 12q^(1/2) + 3q^(-1/2))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) - 1459q^(41/2) - 1900q^(39/2) - 2229q^(37/2) - 2464q^(35/2) - 2430q^(33/2) - 2250q^(31/2) - 1882q^(29/2) - 1493q^(27/2) - 1055q^(25/2) - 686q^(23/2) - 403q^(21/2) - 217q^(19/2) - 99q^(17/2) - 42q^(15/2) - 12q^(13/2) - 3q^(11/2))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^(-31/2)

{"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) - 4*q^(-1/2))*x1^(1/2)*x2^(9/2) + (7*q^(5/2) + 21*q^(3/2) + 4*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) - 95*q^(1/2) - 27*q^(-1/2) - 12*q^(-3/2) - q^(-5/2))*x1^(1/2)*x2^(11/2) + (3*q^(9/2) + 20*q^(7/2) + 61*q^(5/2) + 104*q^(3/2) + 39*q^(1/2) + 13*q^(-1/2) + q^(-3/2))*x1^(3/2)*x2^(11/2) + (-9*q^(11/2) - 21*q^(9/2) - 54*q^(7/2) - 32*q^(5/2) - 12*q^(3/2) - q^(1/2))*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) - 171*q^(3/2) - 301*q^(1/2) - 139*q^(-1/2) - 82*q^(-3/2) - 37*q^(-5/2) - 15*q^(-7/2) - 3*q^(-9/2))*x1^(1/2)*x2^(13/2) + (q^(15/2) + 9*q^(13/2) + 26*q^(11/2) + 79*q^(9/2) + 202*q^(7/2) + 359*q^(5/2) + 458*q^(3/2) + 257*q^(1/2) + 132*q^(-1/2) + 52*q^(-3/2) + 17*q^(-5/2) + 3*q^(-7/2))*x1^(3/2)*x2^(13/2) + (-3*q^(17/2) - 21*q^(15/2) - 46*q^(13/2) - 136*q^(11/2) - 232*q^(9/2) - 343*q^(7/2) - 247*q^(5/2) - 135*q^(3/2) - 52*q^(1/2) - 16*q^(-1/2) - 3*q^(-3/2))*x1^(5/2)*x2^(13/2) + (11*q^(19/2) + 27*q^(17/2) + 58*q^(15/2) + 122*q^(13/2) + 113*q^(11/2) + 94*q^(9/2) + 43*q^(7/2) + 15*q^(5/2) + 3*q^(3/2))*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) - 340*q^(7/2) - 569*q^(5/2) - 726*q^(3/2) - 984*q^(1/2) - 605*q^(-1/2) - 432*q^(-3/2) - 264*q^(-5/2) - 173*q^(-7/2) - 79*q^(-9/2) - 42*q^(-11/2) - 10*q^(-13/2) - 3*q^(-15/2))*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) + 393*q^(11/2) + 770*q^(9/2) + 1312*q^(7/2) + 1796*q^(5/2) + 1983*q^(3/2) + 1390*q^(1/2) + 912*q^(-1/2) + 525*q^(-3/2) + 286*q^(-5/2) + 126*q^(-7/2) + 53*q^(-9/2) + 13*q^(-11/2) + 3*q^(-13/2))*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) - 369*q^(15/2) - 662*q^(13/2) - 1207*q^(11/2) - 1659*q^(9/2) - 1977*q^(7/2) - 1580*q^(5/2) - 1075*q^(3/2) - 600*q^(1/2) - 315*q^(-1/2) - 132*q^(-3/2) - 54*q^(-5/2) - 13*q^(-7/2) - 3*q^(-9/2))*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) + 495*q^(17/2) + 756*q^(15/2) + 1048*q^(13/2) + 999*q^(11/2) + 834*q^(9/2) + 518*q^(7/2) + 285*q^(5/2) + 123*q^(3/2) + 52*q^(1/2) + 13*q^(-1/2) + 3*q^(-3/2))*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) - 295*q^(19/2) - 325*q^(17/2) - 272*q^(15/2) - 183*q^(13/2) - 95*q^(11/2) - 45*q^(9/2) - 13*q^(7/2) - 3*q^(5/2))*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) - 494*q^(13/2) - 804*q^(11/2) - 1337*q^(9/2) - 1902*q^(7/2) - 2564*q^(5/2) - 2945*q^(3/2) - 3367*q^(1/2) - 2521*q^(-1/2) - 1989*q^(-3/2) - 1453*q^(-5/2) - 1098*q^(-7/2) - 731*q^(-9/2) - 475*q^(-11/2) - 246*q^(-13/2) - 131*q^(-15/2) - 56*q^(-17/2) - 20*q^(-19/2) - 8*q^(-21/2) - q^(-23/2))*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) + 669*q^(17/2) + 1207*q^(15/2) + 2045*q^(13/2) + 3393*q^(11/2) + 5162*q^(9/2) + 7087*q^(7/2) + 8423*q^(5/2) + 8634*q^(3/2) + 6926*q^(1/2) + 5224*q^(-1/2) + 3673*q^(-3/2) + 2489*q^(-5/2) + 1542*q^(-7/2) + 890*q^(-9/2) + 445*q^(-11/2) + 211*q^(-13/2) + 84*q^(-15/2) + 29*q^(-17/2) + 9*q^(-19/2) + q^(-21/2))*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) - 723*q^(21/2) - 1362*q^(19/2) - 2281*q^(17/2) - 3837*q^(15/2) - 5808*q^(13/2) - 8313*q^(11/2) - 10078*q^(9/2) - 10789*q^(7/2) - 9277*q^(5/2) - 7125*q^(3/2) - 4904*q^(1/2) - 3200*q^(-1/2) - 1899*q^(-3/2) - 1063*q^(-5/2) - 520*q^(-7/2) - 236*q^(-9/2) - 92*q^(-11/2) - 30*q^(-13/2) - 9*q^(-15/2) - q^(-17/2))*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) + 705*q^(25/2) + 1245*q^(23/2) + 2150*q^(21/2) + 3433*q^(19/2) + 5033*q^(17/2) + 6536*q^(15/2) + 7654*q^(13/2) + 7366*q^(11/2) + 6303*q^(9/2) + 4612*q^(7/2) + 3083*q^(5/2) + 1852*q^(3/2) + 1046*q^(1/2) + 516*q^(-1/2) + 239*q^(-3/2) + 92*q^(-5/2) + 30*q^(-7/2) + 9*q^(-9/2) + q^(-11/2))*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) - 966*q^(27/2) - 1563*q^(25/2) - 2246*q^(23/2) - 3022*q^(21/2) - 3293*q^(19/2) - 3316*q^(17/2) - 2857*q^(15/2) - 2162*q^(13/2) - 1430*q^(11/2) - 865*q^(9/2) - 455*q^(7/2) - 219*q^(5/2) - 90*q^(3/2) - 30*q^(1/2) - 9*q^(-1/2) - 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) + 689*q^(29/2) + 837*q^(27/2) + 886*q^(25/2) + 840*q^(23/2) + 658*q^(21/2) + 490*q^(19/2) + 299*q^(17/2) + 167*q^(15/2) + 75*q^(13/2) + 29*q^(11/2) + 9*q^(9/2) + q^(7/2))*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) - 932*q^(19/2) - 1599*q^(17/2) - 2447*q^(15/2) - 3809*q^(13/2) - 5296*q^(11/2) - 7318*q^(9/2) - 9125*q^(7/2) - 10922*q^(5/2) - 11717*q^(3/2) - 12293*q^(1/2) - 10300*q^(-1/2) - 8764*q^(-3/2) - 7072*q^(-5/2) - 5838*q^(-7/2) - 4503*q^(-9/2) - 3443*q^(-11/2) - 2296*q^(-13/2) - 1527*q^(-15/2) - 903*q^(-17/2) - 526*q^(-19/2) - 272*q^(-21/2) - 150*q^(-23/2) - 61*q^(-25/2) - 30*q^(-27/2) - 9*q^(-29/2) - 3*q^(-31/2))*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) + 995*q^(25/2) + 1711*q^(23/2) + 2859*q^(21/2) + 4620*q^(19/2) + 7186*q^(17/2) + 10898*q^(15/2) + 15857*q^(13/2) + 22213*q^(11/2) + 29016*q^(9/2) + 35126*q^(7/2) + 38505*q^(5/2) + 38223*q^(3/2) + 33151*q^(1/2) + 27387*q^(-1/2) + 21607*q^(-3/2) + 16624*q^(-5/2) + 12146*q^(-7/2) + 8475*q^(-9/2) + 5449*q^(-11/2) + 3351*q^(-13/2) + 1905*q^(-15/2) + 1033*q^(-17/2) + 519*q^(-19/2) + 251*q^(-21/2) + 103*q^(-23/2) + 42*q^(-25/2) + 12*q^(-27/2) + 3*q^(-29/2))*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) - 1279*q^(29/2) - 2256*q^(27/2) - 3716*q^(25/2) - 6119*q^(23/2) - 9488*q^(21/2) - 14615*q^(19/2) - 21276*q^(17/2) - 30357*q^(15/2) - 40263*q^(13/2) - 50271*q^(11/2) - 56254*q^(9/2) - 57428*q^(7/2) - 51576*q^(5/2) - 42990*q^(3/2) - 33358*q^(1/2) - 24923*q^(-1/2) - 17549*q^(-3/2) - 11878*q^(-5/2) - 7446*q^(-7/2) - 4465*q^(-9/2) - 2467*q^(-11/2) - 1306*q^(-13/2) - 628*q^(-15/2) - 294*q^(-17/2) - 115*q^(-19/2) - 45*q^(-21/2) - 12*q^(-23/2) - 3*q^(-25/2))*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) + 1367*q^(33/2) + 2431*q^(31/2) + 4093*q^(29/2) + 6637*q^(27/2) + 10507*q^(25/2) + 15685*q^(23/2) + 22720*q^(21/2) + 31099*q^(19/2) + 39963*q^(17/2) + 47064*q^(15/2) + 50971*q^(13/2) + 49084*q^(11/2) + 43375*q^(9/2) + 34885*q^(7/2) + 26359*q^(5/2) + 18630*q^(3/2) + 12594*q^(1/2) + 7918*q^(-1/2) + 4760*q^(-3/2) + 2637*q^(-5/2) + 1385*q^(-7/2) + 664*q^(-9/2) + 304*q^(-11/2) + 118*q^(-13/2) + 45*q^(-15/2) + 12*q^(-17/2) + 3*q^(-19/2))*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) - 1320*q^(37/2) - 2269*q^(35/2) - 3885*q^(33/2) - 6128*q^(31/2) - 9514*q^(29/2) - 13601*q^(27/2) - 18532*q^(25/2) - 23281*q^(23/2) - 27421*q^(21/2) - 28865*q^(19/2) - 28233*q^(17/2) - 24971*q^(15/2) - 20367*q^(13/2) - 15238*q^(11/2) - 10751*q^(9/2) - 7001*q^(7/2) - 4339*q^(5/2) - 2479*q^(3/2) - 1334*q^(1/2) - 652*q^(-1/2) - 302*q^(-3/2) - 118*q^(-5/2) - 45*q^(-7/2) - 12*q^(-9/2) - 3*q^(-11/2))*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) + 1875*q^(39/2) + 2965*q^(37/2) + 4475*q^(35/2) + 6248*q^(33/2) + 8263*q^(31/2) + 9677*q^(29/2) + 10684*q^(27/2) + 10754*q^(25/2) + 10028*q^(23/2) + 8422*q^(21/2) + 6661*q^(19/2) + 4760*q^(17/2) + 3208*q^(15/2) + 1954*q^(13/2) + 1126*q^(11/2) + 579*q^(9/2) + 283*q^(7/2) + 115*q^(5/2) + 45*q^(3/2) + 12*q^(1/2) + 3*q^(-1/2))*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) - 1459*q^(41/2) - 1900*q^(39/2) - 2229*q^(37/2) - 2464*q^(35/2) - 2430*q^(33/2) - 2250*q^(31/2) - 1882*q^(29/2) - 1493*q^(27/2) - 1055*q^(25/2) - 686*q^(23/2) - 403*q^(21/2) - 217*q^(19/2) - 99*q^(17/2) - 42*q^(15/2) - 12*q^(13/2) - 3*q^(11/2))*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^(-31/2)

(-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) - 4*q^(-1/2))*x1^(-1/2)*x2^(-9/2) + (7*q^(5/2) + 21*q^(3/2) + 4*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) - 95*q^(1/2) - 27*q^(-1/2) - 12*q^(-3/2) - q^(-5/2))*x1^(-1/2)*x2^(-11/2) + (3*q^(9/2) + 20*q^(7/2) + 61*q^(5/2) + 104*q^(3/2) + 39*q^(1/2) + 13*q^(-1/2) + q^(-3/2))*x1^(-3/2)*x2^(-11/2) + (-9*q^(11/2) - 21*q^(9/2) - 54*q^(7/2) - 32*q^(5/2) - 12*q^(3/2) - q^(1/2))*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) - 171*q^(3/2) - 301*q^(1/2) - 139*q^(-1/2) - 82*q^(-3/2) - 37*q^(-5/2) - 15*q^(-7/2) - 3*q^(-9/2))*x1^(-1/2)*x2^(-13/2) + (q^(15/2) + 9*q^(13/2) + 26*q^(11/2) + 79*q^(9/2) + 202*q^(7/2) + 359*q^(5/2) + 458*q^(3/2) + 257*q^(1/2) + 132*q^(-1/2) + 52*q^(-3/2) + 17*q^(-5/2) + 3*q^(-7/2))*x1^(-3/2)*x2^(-13/2) + (-3*q^(17/2) - 21*q^(15/2) - 46*q^(13/2) - 136*q^(11/2) - 232*q^(9/2) - 343*q^(7/2) - 247*q^(5/2) - 135*q^(3/2) - 52*q^(1/2) - 16*q^(-1/2) - 3*q^(-3/2))*x1^(-5/2)*x2^(-13/2) + (11*q^(19/2) + 27*q^(17/2) + 58*q^(15/2) + 122*q^(13/2) + 113*q^(11/2) + 94*q^(9/2) + 43*q^(7/2) + 15*q^(5/2) + 3*q^(3/2))*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) - 340*q^(7/2) - 569*q^(5/2) - 726*q^(3/2) - 984*q^(1/2) - 605*q^(-1/2) - 432*q^(-3/2) - 264*q^(-5/2) - 173*q^(-7/2) - 79*q^(-9/2) - 42*q^(-11/2) - 10*q^(-13/2) - 3*q^(-15/2))*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) + 393*q^(11/2) + 770*q^(9/2) + 1312*q^(7/2) + 1796*q^(5/2) + 1983*q^(3/2) + 1390*q^(1/2) + 912*q^(-1/2) + 525*q^(-3/2) + 286*q^(-5/2) + 126*q^(-7/2) + 53*q^(-9/2) + 13*q^(-11/2) + 3*q^(-13/2))*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) - 369*q^(15/2) - 662*q^(13/2) - 1207*q^(11/2) - 1659*q^(9/2) - 1977*q^(7/2) - 1580*q^(5/2) - 1075*q^(3/2) - 600*q^(1/2) - 315*q^(-1/2) - 132*q^(-3/2) - 54*q^(-5/2) - 13*q^(-7/2) - 3*q^(-9/2))*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) + 495*q^(17/2) + 756*q^(15/2) + 1048*q^(13/2) + 999*q^(11/2) + 834*q^(9/2) + 518*q^(7/2) + 285*q^(5/2) + 123*q^(3/2) + 52*q^(1/2) + 13*q^(-1/2) + 3*q^(-3/2))*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) - 295*q^(19/2) - 325*q^(17/2) - 272*q^(15/2) - 183*q^(13/2) - 95*q^(11/2) - 45*q^(9/2) - 13*q^(7/2) - 3*q^(5/2))*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) - 494*q^(13/2) - 804*q^(11/2) - 1337*q^(9/2) - 1902*q^(7/2) - 2564*q^(5/2) - 2945*q^(3/2) - 3367*q^(1/2) - 2521*q^(-1/2) - 1989*q^(-3/2) - 1453*q^(-5/2) - 1098*q^(-7/2) - 731*q^(-9/2) - 475*q^(-11/2) - 246*q^(-13/2) - 131*q^(-15/2) - 56*q^(-17/2) - 20*q^(-19/2) - 8*q^(-21/2) - q^(-23/2))*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) + 669*q^(17/2) + 1207*q^(15/2) + 2045*q^(13/2) + 3393*q^(11/2) + 5162*q^(9/2) + 7087*q^(7/2) + 8423*q^(5/2) + 8634*q^(3/2) + 6926*q^(1/2) + 5224*q^(-1/2) + 3673*q^(-3/2) + 2489*q^(-5/2) + 1542*q^(-7/2) + 890*q^(-9/2) + 445*q^(-11/2) + 211*q^(-13/2) + 84*q^(-15/2) + 29*q^(-17/2) + 9*q^(-19/2) + q^(-21/2))*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) - 723*q^(21/2) - 1362*q^(19/2) - 2281*q^(17/2) - 3837*q^(15/2) - 5808*q^(13/2) - 8313*q^(11/2) - 10078*q^(9/2) - 10789*q^(7/2) - 9277*q^(5/2) - 7125*q^(3/2) - 4904*q^(1/2) - 3200*q^(-1/2) - 1899*q^(-3/2) - 1063*q^(-5/2) - 520*q^(-7/2) - 236*q^(-9/2) - 92*q^(-11/2) - 30*q^(-13/2) - 9*q^(-15/2) - q^(-17/2))*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) + 705*q^(25/2) + 1245*q^(23/2) + 2150*q^(21/2) + 3433*q^(19/2) + 5033*q^(17/2) + 6536*q^(15/2) + 7654*q^(13/2) + 7366*q^(11/2) + 6303*q^(9/2) + 4612*q^(7/2) + 3083*q^(5/2) + 1852*q^(3/2) + 1046*q^(1/2) + 516*q^(-1/2) + 239*q^(-3/2) + 92*q^(-5/2) + 30*q^(-7/2) + 9*q^(-9/2) + q^(-11/2))*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) - 966*q^(27/2) - 1563*q^(25/2) - 2246*q^(23/2) - 3022*q^(21/2) - 3293*q^(19/2) - 3316*q^(17/2) - 2857*q^(15/2) - 2162*q^(13/2) - 1430*q^(11/2) - 865*q^(9/2) - 455*q^(7/2) - 219*q^(5/2) - 90*q^(3/2) - 30*q^(1/2) - 9*q^(-1/2) - 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) + 689*q^(29/2) + 837*q^(27/2) + 886*q^(25/2) + 840*q^(23/2) + 658*q^(21/2) + 490*q^(19/2) + 299*q^(17/2) + 167*q^(15/2) + 75*q^(13/2) + 29*q^(11/2) + 9*q^(9/2) + q^(7/2))*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) - 932*q^(19/2) - 1599*q^(17/2) - 2447*q^(15/2) - 3809*q^(13/2) - 5296*q^(11/2) - 7318*q^(9/2) - 9125*q^(7/2) - 10922*q^(5/2) - 11717*q^(3/2) - 12293*q^(1/2) - 10300*q^(-1/2) - 8764*q^(-3/2) - 7072*q^(-5/2) - 5838*q^(-7/2) - 4503*q^(-9/2) - 3443*q^(-11/2) - 2296*q^(-13/2) - 1527*q^(-15/2) - 903*q^(-17/2) - 526*q^(-19/2) - 272*q^(-21/2) - 150*q^(-23/2) - 61*q^(-25/2) - 30*q^(-27/2) - 9*q^(-29/2) - 3*q^(-31/2))*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) + 995*q^(25/2) + 1711*q^(23/2) + 2859*q^(21/2) + 4620*q^(19/2) + 7186*q^(17/2) + 10898*q^(15/2) + 15857*q^(13/2) + 22213*q^(11/2) + 29016*q^(9/2) + 35126*q^(7/2) + 38505*q^(5/2) + 38223*q^(3/2) + 33151*q^(1/2) + 27387*q^(-1/2) + 21607*q^(-3/2) + 16624*q^(-5/2) + 12146*q^(-7/2) + 8475*q^(-9/2) + 5449*q^(-11/2) + 3351*q^(-13/2) + 1905*q^(-15/2) + 1033*q^(-17/2) + 519*q^(-19/2) + 251*q^(-21/2) + 103*q^(-23/2) + 42*q^(-25/2) + 12*q^(-27/2) + 3*q^(-29/2))*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) - 1279*q^(29/2) - 2256*q^(27/2) - 3716*q^(25/2) - 6119*q^(23/2) - 9488*q^(21/2) - 14615*q^(19/2) - 21276*q^(17/2) - 30357*q^(15/2) - 40263*q^(13/2) - 50271*q^(11/2) - 56254*q^(9/2) - 57428*q^(7/2) - 51576*q^(5/2) - 42990*q^(3/2) - 33358*q^(1/2) - 24923*q^(-1/2) - 17549*q^(-3/2) - 11878*q^(-5/2) - 7446*q^(-7/2) - 4465*q^(-9/2) - 2467*q^(-11/2) - 1306*q^(-13/2) - 628*q^(-15/2) - 294*q^(-17/2) - 115*q^(-19/2) - 45*q^(-21/2) - 12*q^(-23/2) - 3*q^(-25/2))*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) + 1367*q^(33/2) + 2431*q^(31/2) + 4093*q^(29/2) + 6637*q^(27/2) + 10507*q^(25/2) + 15685*q^(23/2) + 22720*q^(21/2) + 31099*q^(19/2) + 39963*q^(17/2) + 47064*q^(15/2) + 50971*q^(13/2) + 49084*q^(11/2) + 43375*q^(9/2) + 34885*q^(7/2) + 26359*q^(5/2) + 18630*q^(3/2) + 12594*q^(1/2) + 7918*q^(-1/2) + 4760*q^(-3/2) + 2637*q^(-5/2) + 1385*q^(-7/2) + 664*q^(-9/2) + 304*q^(-11/2) + 118*q^(-13/2) + 45*q^(-15/2) + 12*q^(-17/2) + 3*q^(-19/2))*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) - 1320*q^(37/2) - 2269*q^(35/2) - 3885*q^(33/2) - 6128*q^(31/2) - 9514*q^(29/2) - 13601*q^(27/2) - 18532*q^(25/2) - 23281*q^(23/2) - 27421*q^(21/2) - 28865*q^(19/2) - 28233*q^(17/2) - 24971*q^(15/2) - 20367*q^(13/2) - 15238*q^(11/2) - 10751*q^(9/2) - 7001*q^(7/2) - 4339*q^(5/2) - 2479*q^(3/2) - 1334*q^(1/2) - 652*q^(-1/2) - 302*q^(-3/2) - 118*q^(-5/2) - 45*q^(-7/2) - 12*q^(-9/2) - 3*q^(-11/2))*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) + 1875*q^(39/2) + 2965*q^(37/2) + 4475*q^(35/2) + 6248*q^(33/2) + 8263*q^(31/2) + 9677*q^(29/2) + 10684*q^(27/2) + 10754*q^(25/2) + 10028*q^(23/2) + 8422*q^(21/2) + 6661*q^(19/2) + 4760*q^(17/2) + 3208*q^(15/2) + 1954*q^(13/2) + 1126*q^(11/2) + 579*q^(9/2) + 283*q^(7/2) + 115*q^(5/2) + 45*q^(3/2) + 12*q^(1/2) + 3*q^(-1/2))*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) - 1459*q^(41/2) - 1900*q^(39/2) - 2229*q^(37/2) - 2464*q^(35/2) - 2430*q^(33/2) - 2250*q^(31/2) - 1882*q^(29/2) - 1493*q^(27/2) - 1055*q^(25/2) - 686*q^(23/2) - 403*q^(21/2) - 217*q^(19/2) - 99*q^(17/2) - 42*q^(15/2) - 12*q^(13/2) - 3*q^(11/2))*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, -3, 2, 1, 2, -3, -4, -3, 2, 2]`	2	15	5

Multivariable Alexander polynomial

Δ_L
`-A1^(1/2)A2^(5/2) + 7A1^(1/2)A2^(3/2) - 12A1^(1/2)A2^(1/2) + 10A1^(1/2)A2^(-1/2) - 3A1^(1/2)A2^(-3/2) - 3A1^(-1/2)A2^(3/2) + 10A1^(-1/2)A2^(1/2) - 12A1^(-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) + 19m^(-3)A1^(-1)A2^(-1) + 11m^(-3)A2^(-2) + 22m^(-2)A1^(-1) + 32m^(-2)A2^(-1) + 3m^(-2)A1A2^(-2) + 13m^(-1)A1^(-1)A2 + 44m^(-1) + 13m^(-1)A1A2^(-1) + 3A1^(-1)A2^2 + 32A2 + 22A1 + 11mA2^2 + 19mA1A2 + 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)`	`940`
`namestring`	`L11a24{1}`
`statusstring`	`success`
`slugstring`	`L11a24_1_db7d29d4`
`result_filestring`	`details/L11a24_1_db7d29d4.json`
`complexity_scoreOption(int)`	`242`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`11`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`264`
`wall_secondsOption(float)`	`0.004608`
`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": "L11a24_1_db7d29d4" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L11a24_1_db7d29d4`