L11a127{1} - HFL and FL

details/L11a127_1_83fb1b6a.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^(-29/2)`	`{"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^(3/2))x1^(1/2)x2^(5/2) + (-7q^(3/2))x1^(1/2)x2^(7/2) + (3q^(5/2))x1^(3/2)x2^(7/2) + (-28q^(3/2) - 7q^(1/2))x1^(1/2)x2^(9/2) + (6q^(7/2) + 21q^(5/2) + 5q^(3/2))x1^(3/2)x2^(9/2) + (-6q^(9/2) - 3q^(7/2))x1^(5/2)x2^(9/2) + (3q^(7/2) - 89q^(3/2) - 48q^(1/2) - 22q^(-1/2) - q^(-3/2))x1^(1/2)x2^(11/2) + (q^(11/2) + 11q^(9/2) + 41q^(7/2) + 103q^(5/2) + 55q^(3/2) + 19q^(1/2) + q^(-1/2))x1^(3/2)x2^(11/2) + (-8q^(13/2) - 18q^(11/2) - 52q^(9/2) - 35q^(7/2) - 15q^(5/2) - q^(3/2))x1^(5/2)x2^(11/2) + (10q^(15/2) + 8q^(13/2) + 8q^(11/2) + q^(9/2))x1^(7/2)x2^(11/2) + (10q^(9/2) + 21q^(7/2) + q^(5/2) - 243q^(3/2) - 211q^(1/2) - 163q^(-1/2) - 67q^(-3/2) - 21q^(-5/2) - 3q^(-7/2))x1^(1/2)x2^(13/2) + (2q^(15/2) + 4q^(13/2) + 21q^(11/2) + 68q^(9/2) + 204q^(7/2) + 433q^(5/2) + 356q^(3/2) + 217q^(1/2) + 81q^(-1/2) + 22q^(-3/2) + 3q^(-5/2))x1^(3/2)x2^(13/2) + (-q^(19/2) - 14q^(17/2) - 27q^(15/2) - 98q^(13/2) - 172q^(11/2) - 318q^(9/2) - 282q^(7/2) - 183q^(5/2) - 74q^(3/2) - 20q^(1/2) - 3q^(-1/2))x1^(5/2)x2^(13/2) + (10q^(21/2) + 24q^(19/2) + 50q^(17/2) + 114q^(15/2) + 113q^(13/2) + 102q^(11/2) + 52q^(9/2) + 18q^(7/2) + 3q^(5/2))x1^(7/2)x2^(13/2) + (-15q^(23/2) - 15q^(21/2) - 21q^(19/2) - 18q^(17/2) - 9q^(15/2) - 3q^(13/2))x1^(9/2)x2^(13/2) + (-q^(13/2) + 21q^(11/2) + 71q^(9/2) + 110q^(7/2) + 31q^(5/2) - 592q^(3/2) - 723q^(1/2) - 763q^(-1/2) - 522q^(-3/2) - 302q^(-5/2) - 119q^(-7/2) - 60q^(-9/2) - 11q^(-11/2) - 3q^(-13/2))x1^(1/2)x2^(15/2) + (q^(21/2) + 3q^(19/2) + 7q^(17/2) + 15q^(15/2) + 40q^(13/2) + 98q^(11/2) + 309q^(9/2) + 844q^(7/2) + 1674q^(5/2) + 1768q^(3/2) + 1470q^(1/2) + 902q^(-1/2) + 455q^(-3/2) + 181q^(-5/2) + 70q^(-7/2) + 14q^(-9/2) + 3q^(-11/2))x1^(3/2)x2^(15/2) + (-2q^(25/2) - 6q^(23/2) - 28q^(21/2) - 57q^(19/2) - 164q^(17/2) - 309q^(15/2) - 674q^(13/2) - 1101q^(11/2) - 1728q^(9/2) - 1778q^(7/2) - 1475q^(5/2) - 914q^(3/2) - 473q^(1/2) - 183q^(-1/2) - 69q^(-3/2) - 14q^(-5/2) - 3q^(-7/2))x1^(5/2)x2^(15/2) + (q^(29/2) + 16q^(27/2) + 32q^(25/2) + 83q^(23/2) + 194q^(21/2) + 373q^(19/2) + 586q^(17/2) + 922q^(15/2) + 993q^(13/2) + 939q^(11/2) + 664q^(9/2) + 386q^(7/2) + 165q^(5/2) + 65q^(3/2) + 14q^(1/2) + 3q^(-1/2))x1^(7/2)x2^(15/2) + (-12q^(31/2) - 30q^(29/2) - 66q^(27/2) - 120q^(25/2) - 243q^(23/2) - 281q^(21/2) - 324q^(19/2) - 289q^(17/2) - 207q^(15/2) - 112q^(13/2) - 54q^(11/2) - 14q^(9/2) - 3q^(7/2))x1^(9/2)x2^(15/2) + (21q^(33/2) + 24q^(31/2) + 39q^(29/2) + 45q^(27/2) + 48q^(25/2) + 30q^(23/2) + 24q^(21/2) + 9q^(19/2) + 3q^(17/2))x1^(11/2)x2^(15/2) + (-6q^(17/2) - 8q^(15/2) + 28q^(13/2) + 157q^(11/2) + 372q^(9/2) + 515q^(7/2) + 285q^(5/2) - 1234q^(3/2) - 2083q^(1/2) - 2764q^(-1/2) - 2565q^(-3/2) - 2025q^(-5/2) - 1252q^(-7/2) - 779q^(-9/2) - 383q^(-11/2) - 193q^(-13/2) - 75q^(-15/2) - 23q^(-17/2) - 8q^(-19/2) - q^(-21/2))x1^(1/2)x2^(17/2) + (2q^(27/2) + 2q^(25/2) + 6q^(23/2) + 13q^(21/2) + 25q^(19/2) + 40q^(17/2) + 78q^(15/2) + 104q^(13/2) + 305q^(11/2) + 1114q^(9/2) + 3066q^(7/2) + 6006q^(5/2) + 7509q^(3/2) + 7579q^(1/2) + 6141q^(-1/2) + 4247q^(-3/2) + 2513q^(-5/2) + 1385q^(-7/2) + 655q^(-9/2) + 290q^(-11/2) + 105q^(-13/2) + 32q^(-15/2) + 9q^(-17/2) + q^(-19/2))x1^(3/2)x2^(17/2) + (-q^(33/2) - 4q^(31/2) - 12q^(29/2) - 24q^(27/2) - 72q^(25/2) - 137q^(23/2) - 326q^(21/2) - 580q^(19/2) - 1195q^(17/2) - 2038q^(15/2) - 3722q^(13/2) - 5863q^(11/2) - 8599q^(9/2) - 9744q^(7/2) - 9351q^(5/2) - 7382q^(3/2) - 5071q^(1/2) - 2968q^(-1/2) - 1591q^(-3/2) - 738q^(-5/2) - 313q^(-7/2) - 112q^(-9/2) - 33q^(-11/2) - 9q^(-13/2) - q^(-15/2))x1^(5/2)x2^(17/2) + (2q^(37/2) + 6q^(35/2) + 32q^(33/2) + 64q^(31/2) + 143q^(29/2) + 334q^(27/2) + 618q^(25/2) + 1141q^(23/2) + 2000q^(21/2) + 3203q^(19/2) + 4608q^(17/2) + 6284q^(15/2) + 7087q^(13/2) + 7078q^(11/2) + 5942q^(9/2) + 4345q^(7/2) + 2701q^(5/2) + 1508q^(3/2) + 714q^(1/2) + 311q^(-1/2) + 111q^(-3/2) + 33q^(-5/2) + 9q^(-7/2) + q^(-9/2))x1^(7/2)x2^(17/2) + (-q^(41/2) - 18q^(39/2) - 36q^(37/2) - 96q^(35/2) - 181q^(33/2) - 409q^(31/2) - 718q^(29/2) - 1204q^(27/2) - 1771q^(25/2) - 2574q^(23/2) - 3018q^(21/2) - 3293q^(19/2) - 3105q^(17/2) - 2569q^(15/2) - 1811q^(13/2) - 1140q^(11/2) - 603q^(9/2) - 279q^(7/2) - 108q^(5/2) - 33q^(3/2) - 9q^(1/2) - q^(-1/2))x1^(9/2)x2^(17/2) + (14q^(43/2) + 36q^(41/2) + 82q^(39/2) + 156q^(37/2) + 274q^(35/2) + 493q^(33/2) + 637q^(31/2) + 797q^(29/2) + 874q^(27/2) + 866q^(25/2) + 709q^(23/2) + 545q^(21/2) + 347q^(19/2) + 197q^(17/2) + 87q^(15/2) + 32q^(13/2) + 9q^(11/2) + q^(9/2))x1^(11/2)x2^(17/2) + (-28q^(45/2) - 35q^(43/2) - 62q^(41/2) - 82q^(39/2) - 107q^(37/2) - 108q^(35/2) - 101q^(33/2) - 81q^(31/2) - 62q^(29/2) - 37q^(27/2) - 17q^(25/2) - 8q^(23/2) - q^(21/2))x1^(13/2)x2^(17/2) + (-15q^(21/2) - 30q^(19/2) - 72q^(17/2) - 15q^(15/2) + 229q^(13/2) + 829q^(11/2) + 1674q^(9/2) + 2279q^(7/2) + 1785q^(5/2) - 1742q^(3/2) - 4955q^(1/2) - 8313q^(-1/2) - 9660q^(-3/2) - 9514q^(-5/2) - 7683q^(-7/2) - 5855q^(-9/2) - 3876q^(-11/2) - 2549q^(-13/2) - 1472q^(-15/2) - 822q^(-17/2) - 398q^(-19/2) - 207q^(-21/2) - 74q^(-23/2) - 33q^(-25/2) - 9q^(-27/2) - 3q^(-29/2))x1^(1/2)x2^(19/2) + (q^(35/2) + 3q^(33/2) + 3q^(31/2) + 7q^(29/2) + 15q^(27/2) + 25q^(25/2) + 45q^(23/2) + 74q^(21/2) + 113q^(19/2) + 133q^(17/2) + 12q^(15/2) - 174q^(13/2) + 337q^(11/2) + 3108q^(9/2) + 9716q^(7/2) + 19931q^(5/2) + 28264q^(3/2) + 32896q^(1/2) + 31964q^(-1/2) + 27146q^(-3/2) + 20341q^(-5/2) + 14089q^(-7/2) + 8908q^(-9/2) + 5339q^(-11/2) + 2927q^(-13/2) + 1510q^(-15/2) + 712q^(-17/2) + 322q^(-19/2) + 119q^(-21/2) + 45q^(-23/2) + 12q^(-25/2) + 3q^(-27/2))x1^(3/2)x2^(19/2) + (-2q^(41/2) - 4q^(39/2) - 12q^(37/2) - 24q^(35/2) - 51q^(33/2) - 98q^(31/2) - 208q^(29/2) - 364q^(27/2) - 730q^(25/2) - 1241q^(23/2) - 2293q^(21/2) - 3791q^(19/2) - 6564q^(17/2) - 10638q^(15/2) - 17929q^(13/2) - 27692q^(11/2) - 39745q^(9/2) - 48035q^(7/2) - 50957q^(5/2) - 46788q^(3/2) - 38484q^(1/2) - 28162q^(-1/2) - 19066q^(-3/2) - 11755q^(-5/2) - 6850q^(-7/2) - 3642q^(-9/2) - 1837q^(-11/2) - 831q^(-13/2) - 366q^(-15/2) - 131q^(-17/2) - 48q^(-19/2) - 12q^(-21/2) - 3q^(-23/2))x1^(5/2)x2^(19/2) + (q^(47/2) + 4q^(45/2) + 13q^(43/2) + 29q^(41/2) + 81q^(39/2) + 159q^(37/2) + 323q^(35/2) + 653q^(33/2) + 1188q^(31/2) + 2082q^(29/2) + 3701q^(27/2) + 6017q^(25/2) + 9666q^(23/2) + 14809q^(21/2) + 21685q^(19/2) + 29645q^(17/2) + 38385q^(15/2) + 44319q^(13/2) + 46540q^(11/2) + 43402q^(9/2) + 36568q^(7/2) + 27611q^(5/2) + 19152q^(3/2) + 12031q^(1/2) + 7075q^(-1/2) + 3793q^(-3/2) + 1905q^(-5/2) + 864q^(-7/2) + 374q^(-9/2) + 134q^(-11/2) + 48q^(-13/2) + 12q^(-15/2) + 3q^(-17/2))x1^(7/2)x2^(19/2) + (-2q^(51/2) - 6q^(49/2) - 34q^(47/2) - 70q^(45/2) - 156q^(43/2) - 315q^(41/2) - 650q^(39/2) - 1156q^(37/2) - 2096q^(35/2) - 3421q^(33/2) - 5663q^(31/2) - 8595q^(29/2) - 12463q^(27/2) - 16767q^(25/2) - 21699q^(23/2) - 25215q^(21/2) - 27382q^(19/2) - 26953q^(17/2) - 24308q^(15/2) - 19731q^(13/2) - 14734q^(11/2) - 9907q^(9/2) - 6166q^(7/2) - 3461q^(5/2) - 1802q^(3/2) - 840q^(1/2) - 370q^(-1/2) - 134q^(-3/2) - 48q^(-5/2) - 12q^(-7/2) - 3q^(-9/2))x1^(9/2)x2^(19/2) + (q^(55/2) + 20q^(53/2) + 40q^(51/2) + 108q^(49/2) + 206q^(47/2) + 413q^(45/2) + 782q^(43/2) + 1398q^(41/2) + 2254q^(39/2) + 3482q^(37/2) + 4963q^(35/2) + 6882q^(33/2) + 8455q^(31/2) + 9836q^(29/2) + 10495q^(27/2) + 10448q^(25/2) + 9350q^(23/2) + 7813q^(21/2) + 5878q^(19/2) + 4106q^(17/2) + 2547q^(15/2) + 1458q^(13/2) + 732q^(11/2) + 344q^(9/2) + 131q^(7/2) + 48q^(5/2) + 12q^(3/2) + 3q^(1/2))x1^(11/2)x2^(19/2) + (-16q^(57/2) - 42q^(55/2) - 98q^(53/2) - 192q^(51/2) - 350q^(49/2) - 578q^(47/2) - 988q^(45/2) - 1329q^(43/2) - 1761q^(41/2) - 2111q^(39/2) - 2397q^(37/2) - 2439q^(35/2) - 2326q^(33/2) - 2003q^(31/2) - 1637q^(29/2) - 1191q^(27/2) - 791q^(25/2) - 468q^(23/2) - 253q^(21/2) - 111q^(19/2) - 45q^(17/2) - 12q^(15/2) - 3q^(13/2))x1^(13/2)x2^(19/2) + (36q^(59/2) + 48q^(57/2) + 90q^(55/2) + 129q^(53/2) + 186q^(51/2) + 222q^(49/2) + 264q^(47/2) + 252q^(45/2) + 255q^(43/2) + 219q^(41/2) + 183q^(39/2) + 126q^(37/2) + 90q^(35/2) + 48q^(33/2) + 27q^(31/2) + 9q^(29/2) + 3q^(27/2))x1^(15/2)x2^(19/2)
`(1/2, 5/2)`		`x1^(-1/2)x2^(-5/2)`	`q^(-29/2)`			(-q^(3/2))x1^(-1/2)x2^(-5/2) + (-7q^(3/2))x1^(-1/2)x2^(-7/2) + (3q^(5/2))x1^(-3/2)x2^(-7/2) + (-28q^(3/2) - 7q^(1/2))x1^(-1/2)x2^(-9/2) + (6q^(7/2) + 21q^(5/2) + 5q^(3/2))x1^(-3/2)x2^(-9/2) + (-6q^(9/2) - 3q^(7/2))x1^(-5/2)x2^(-9/2) + (3q^(7/2) - 89q^(3/2) - 48q^(1/2) - 22q^(-1/2) - q^(-3/2))x1^(-1/2)x2^(-11/2) + (q^(11/2) + 11q^(9/2) + 41q^(7/2) + 103q^(5/2) + 55q^(3/2) + 19q^(1/2) + q^(-1/2))x1^(-3/2)x2^(-11/2) + (-8q^(13/2) - 18q^(11/2) - 52q^(9/2) - 35q^(7/2) - 15q^(5/2) - q^(3/2))x1^(-5/2)x2^(-11/2) + (10q^(15/2) + 8q^(13/2) + 8q^(11/2) + q^(9/2))x1^(-7/2)x2^(-11/2) + (10q^(9/2) + 21q^(7/2) + q^(5/2) - 243q^(3/2) - 211q^(1/2) - 163q^(-1/2) - 67q^(-3/2) - 21q^(-5/2) - 3q^(-7/2))x1^(-1/2)x2^(-13/2) + (2q^(15/2) + 4q^(13/2) + 21q^(11/2) + 68q^(9/2) + 204q^(7/2) + 433q^(5/2) + 356q^(3/2) + 217q^(1/2) + 81q^(-1/2) + 22q^(-3/2) + 3q^(-5/2))x1^(-3/2)x2^(-13/2) + (-q^(19/2) - 14q^(17/2) - 27q^(15/2) - 98q^(13/2) - 172q^(11/2) - 318q^(9/2) - 282q^(7/2) - 183q^(5/2) - 74q^(3/2) - 20q^(1/2) - 3q^(-1/2))x1^(-5/2)x2^(-13/2) + (10q^(21/2) + 24q^(19/2) + 50q^(17/2) + 114q^(15/2) + 113q^(13/2) + 102q^(11/2) + 52q^(9/2) + 18q^(7/2) + 3q^(5/2))x1^(-7/2)x2^(-13/2) + (-15q^(23/2) - 15q^(21/2) - 21q^(19/2) - 18q^(17/2) - 9q^(15/2) - 3q^(13/2))x1^(-9/2)x2^(-13/2) + (-q^(13/2) + 21q^(11/2) + 71q^(9/2) + 110q^(7/2) + 31q^(5/2) - 592q^(3/2) - 723q^(1/2) - 763q^(-1/2) - 522q^(-3/2) - 302q^(-5/2) - 119q^(-7/2) - 60q^(-9/2) - 11q^(-11/2) - 3q^(-13/2))x1^(-1/2)x2^(-15/2) + (q^(21/2) + 3q^(19/2) + 7q^(17/2) + 15q^(15/2) + 40q^(13/2) + 98q^(11/2) + 309q^(9/2) + 844q^(7/2) + 1674q^(5/2) + 1768q^(3/2) + 1470q^(1/2) + 902q^(-1/2) + 455q^(-3/2) + 181q^(-5/2) + 70q^(-7/2) + 14q^(-9/2) + 3q^(-11/2))x1^(-3/2)x2^(-15/2) + (-2q^(25/2) - 6q^(23/2) - 28q^(21/2) - 57q^(19/2) - 164q^(17/2) - 309q^(15/2) - 674q^(13/2) - 1101q^(11/2) - 1728q^(9/2) - 1778q^(7/2) - 1475q^(5/2) - 914q^(3/2) - 473q^(1/2) - 183q^(-1/2) - 69q^(-3/2) - 14q^(-5/2) - 3q^(-7/2))x1^(-5/2)x2^(-15/2) + (q^(29/2) + 16q^(27/2) + 32q^(25/2) + 83q^(23/2) + 194q^(21/2) + 373q^(19/2) + 586q^(17/2) + 922q^(15/2) + 993q^(13/2) + 939q^(11/2) + 664q^(9/2) + 386q^(7/2) + 165q^(5/2) + 65q^(3/2) + 14q^(1/2) + 3q^(-1/2))x1^(-7/2)x2^(-15/2) + (-12q^(31/2) - 30q^(29/2) - 66q^(27/2) - 120q^(25/2) - 243q^(23/2) - 281q^(21/2) - 324q^(19/2) - 289q^(17/2) - 207q^(15/2) - 112q^(13/2) - 54q^(11/2) - 14q^(9/2) - 3q^(7/2))x1^(-9/2)x2^(-15/2) + (21q^(33/2) + 24q^(31/2) + 39q^(29/2) + 45q^(27/2) + 48q^(25/2) + 30q^(23/2) + 24q^(21/2) + 9q^(19/2) + 3q^(17/2))x1^(-11/2)x2^(-15/2) + (-6q^(17/2) - 8q^(15/2) + 28q^(13/2) + 157q^(11/2) + 372q^(9/2) + 515q^(7/2) + 285q^(5/2) - 1234q^(3/2) - 2083q^(1/2) - 2764q^(-1/2) - 2565q^(-3/2) - 2025q^(-5/2) - 1252q^(-7/2) - 779q^(-9/2) - 383q^(-11/2) - 193q^(-13/2) - 75q^(-15/2) - 23q^(-17/2) - 8q^(-19/2) - q^(-21/2))x1^(-1/2)x2^(-17/2) + (2q^(27/2) + 2q^(25/2) + 6q^(23/2) + 13q^(21/2) + 25q^(19/2) + 40q^(17/2) + 78q^(15/2) + 104q^(13/2) + 305q^(11/2) + 1114q^(9/2) + 3066q^(7/2) + 6006q^(5/2) + 7509q^(3/2) + 7579q^(1/2) + 6141q^(-1/2) + 4247q^(-3/2) + 2513q^(-5/2) + 1385q^(-7/2) + 655q^(-9/2) + 290q^(-11/2) + 105q^(-13/2) + 32q^(-15/2) + 9q^(-17/2) + q^(-19/2))x1^(-3/2)x2^(-17/2) + (-q^(33/2) - 4q^(31/2) - 12q^(29/2) - 24q^(27/2) - 72q^(25/2) - 137q^(23/2) - 326q^(21/2) - 580q^(19/2) - 1195q^(17/2) - 2038q^(15/2) - 3722q^(13/2) - 5863q^(11/2) - 8599q^(9/2) - 9744q^(7/2) - 9351q^(5/2) - 7382q^(3/2) - 5071q^(1/2) - 2968q^(-1/2) - 1591q^(-3/2) - 738q^(-5/2) - 313q^(-7/2) - 112q^(-9/2) - 33q^(-11/2) - 9q^(-13/2) - q^(-15/2))x1^(-5/2)x2^(-17/2) + (2q^(37/2) + 6q^(35/2) + 32q^(33/2) + 64q^(31/2) + 143q^(29/2) + 334q^(27/2) + 618q^(25/2) + 1141q^(23/2) + 2000q^(21/2) + 3203q^(19/2) + 4608q^(17/2) + 6284q^(15/2) + 7087q^(13/2) + 7078q^(11/2) + 5942q^(9/2) + 4345q^(7/2) + 2701q^(5/2) + 1508q^(3/2) + 714q^(1/2) + 311q^(-1/2) + 111q^(-3/2) + 33q^(-5/2) + 9q^(-7/2) + q^(-9/2))x1^(-7/2)x2^(-17/2) + (-q^(41/2) - 18q^(39/2) - 36q^(37/2) - 96q^(35/2) - 181q^(33/2) - 409q^(31/2) - 718q^(29/2) - 1204q^(27/2) - 1771q^(25/2) - 2574q^(23/2) - 3018q^(21/2) - 3293q^(19/2) - 3105q^(17/2) - 2569q^(15/2) - 1811q^(13/2) - 1140q^(11/2) - 603q^(9/2) - 279q^(7/2) - 108q^(5/2) - 33q^(3/2) - 9q^(1/2) - q^(-1/2))x1^(-9/2)x2^(-17/2) + (14q^(43/2) + 36q^(41/2) + 82q^(39/2) + 156q^(37/2) + 274q^(35/2) + 493q^(33/2) + 637q^(31/2) + 797q^(29/2) + 874q^(27/2) + 866q^(25/2) + 709q^(23/2) + 545q^(21/2) + 347q^(19/2) + 197q^(17/2) + 87q^(15/2) + 32q^(13/2) + 9q^(11/2) + q^(9/2))x1^(-11/2)x2^(-17/2) + (-28q^(45/2) - 35q^(43/2) - 62q^(41/2) - 82q^(39/2) - 107q^(37/2) - 108q^(35/2) - 101q^(33/2) - 81q^(31/2) - 62q^(29/2) - 37q^(27/2) - 17q^(25/2) - 8q^(23/2) - q^(21/2))x1^(-13/2)x2^(-17/2) + (-15q^(21/2) - 30q^(19/2) - 72q^(17/2) - 15q^(15/2) + 229q^(13/2) + 829q^(11/2) + 1674q^(9/2) + 2279q^(7/2) + 1785q^(5/2) - 1742q^(3/2) - 4955q^(1/2) - 8313q^(-1/2) - 9660q^(-3/2) - 9514q^(-5/2) - 7683q^(-7/2) - 5855q^(-9/2) - 3876q^(-11/2) - 2549q^(-13/2) - 1472q^(-15/2) - 822q^(-17/2) - 398q^(-19/2) - 207q^(-21/2) - 74q^(-23/2) - 33q^(-25/2) - 9q^(-27/2) - 3q^(-29/2))x1^(-1/2)x2^(-19/2) + (q^(35/2) + 3q^(33/2) + 3q^(31/2) + 7q^(29/2) + 15q^(27/2) + 25q^(25/2) + 45q^(23/2) + 74q^(21/2) + 113q^(19/2) + 133q^(17/2) + 12q^(15/2) - 174q^(13/2) + 337q^(11/2) + 3108q^(9/2) + 9716q^(7/2) + 19931q^(5/2) + 28264q^(3/2) + 32896q^(1/2) + 31964q^(-1/2) + 27146q^(-3/2) + 20341q^(-5/2) + 14089q^(-7/2) + 8908q^(-9/2) + 5339q^(-11/2) + 2927q^(-13/2) + 1510q^(-15/2) + 712q^(-17/2) + 322q^(-19/2) + 119q^(-21/2) + 45q^(-23/2) + 12q^(-25/2) + 3q^(-27/2))x1^(-3/2)x2^(-19/2) + (-2q^(41/2) - 4q^(39/2) - 12q^(37/2) - 24q^(35/2) - 51q^(33/2) - 98q^(31/2) - 208q^(29/2) - 364q^(27/2) - 730q^(25/2) - 1241q^(23/2) - 2293q^(21/2) - 3791q^(19/2) - 6564q^(17/2) - 10638q^(15/2) - 17929q^(13/2) - 27692q^(11/2) - 39745q^(9/2) - 48035q^(7/2) - 50957q^(5/2) - 46788q^(3/2) - 38484q^(1/2) - 28162q^(-1/2) - 19066q^(-3/2) - 11755q^(-5/2) - 6850q^(-7/2) - 3642q^(-9/2) - 1837q^(-11/2) - 831q^(-13/2) - 366q^(-15/2) - 131q^(-17/2) - 48q^(-19/2) - 12q^(-21/2) - 3q^(-23/2))x1^(-5/2)x2^(-19/2) + (q^(47/2) + 4q^(45/2) + 13q^(43/2) + 29q^(41/2) + 81q^(39/2) + 159q^(37/2) + 323q^(35/2) + 653q^(33/2) + 1188q^(31/2) + 2082q^(29/2) + 3701q^(27/2) + 6017q^(25/2) + 9666q^(23/2) + 14809q^(21/2) + 21685q^(19/2) + 29645q^(17/2) + 38385q^(15/2) + 44319q^(13/2) + 46540q^(11/2) + 43402q^(9/2) + 36568q^(7/2) + 27611q^(5/2) + 19152q^(3/2) + 12031q^(1/2) + 7075q^(-1/2) + 3793q^(-3/2) + 1905q^(-5/2) + 864q^(-7/2) + 374q^(-9/2) + 134q^(-11/2) + 48q^(-13/2) + 12q^(-15/2) + 3q^(-17/2))x1^(-7/2)x2^(-19/2) + (-2q^(51/2) - 6q^(49/2) - 34q^(47/2) - 70q^(45/2) - 156q^(43/2) - 315q^(41/2) - 650q^(39/2) - 1156q^(37/2) - 2096q^(35/2) - 3421q^(33/2) - 5663q^(31/2) - 8595q^(29/2) - 12463q^(27/2) - 16767q^(25/2) - 21699q^(23/2) - 25215q^(21/2) - 27382q^(19/2) - 26953q^(17/2) - 24308q^(15/2) - 19731q^(13/2) - 14734q^(11/2) - 9907q^(9/2) - 6166q^(7/2) - 3461q^(5/2) - 1802q^(3/2) - 840q^(1/2) - 370q^(-1/2) - 134q^(-3/2) - 48q^(-5/2) - 12q^(-7/2) - 3q^(-9/2))x1^(-9/2)x2^(-19/2) + (q^(55/2) + 20q^(53/2) + 40q^(51/2) + 108q^(49/2) + 206q^(47/2) + 413q^(45/2) + 782q^(43/2) + 1398q^(41/2) + 2254q^(39/2) + 3482q^(37/2) + 4963q^(35/2) + 6882q^(33/2) + 8455q^(31/2) + 9836q^(29/2) + 10495q^(27/2) + 10448q^(25/2) + 9350q^(23/2) + 7813q^(21/2) + 5878q^(19/2) + 4106q^(17/2) + 2547q^(15/2) + 1458q^(13/2) + 732q^(11/2) + 344q^(9/2) + 131q^(7/2) + 48q^(5/2) + 12q^(3/2) + 3q^(1/2))x1^(-11/2)x2^(-19/2) + (-16q^(57/2) - 42q^(55/2) - 98q^(53/2) - 192q^(51/2) - 350q^(49/2) - 578q^(47/2) - 988q^(45/2) - 1329q^(43/2) - 1761q^(41/2) - 2111q^(39/2) - 2397q^(37/2) - 2439q^(35/2) - 2326q^(33/2) - 2003q^(31/2) - 1637q^(29/2) - 1191q^(27/2) - 791q^(25/2) - 468q^(23/2) - 253q^(21/2) - 111q^(19/2) - 45q^(17/2) - 12q^(15/2) - 3q^(13/2))x1^(-13/2)x2^(-19/2) + (36q^(59/2) + 48q^(57/2) + 90q^(55/2) + 129q^(53/2) + 186q^(51/2) + 222q^(49/2) + 264q^(47/2) + 252q^(45/2) + 255q^(43/2) + 219q^(41/2) + 183q^(39/2) + 126q^(37/2) + 90q^(35/2) + 48q^(33/2) + 27q^(31/2) + 9q^(29/2) + 3q^(27/2))x1^(-15/2)x2^(-19/2)

(-1/2, -5/2)

(1, 1)

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

q^(-29/2)

{"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^(3/2))*x1^(1/2)*x2^(5/2) + (-7*q^(3/2))*x1^(1/2)*x2^(7/2) + (3*q^(5/2))*x1^(3/2)*x2^(7/2) + (-28*q^(3/2) - 7*q^(1/2))*x1^(1/2)*x2^(9/2) + (6*q^(7/2) + 21*q^(5/2) + 5*q^(3/2))*x1^(3/2)*x2^(9/2) + (-6*q^(9/2) - 3*q^(7/2))*x1^(5/2)*x2^(9/2) + (3*q^(7/2) - 89*q^(3/2) - 48*q^(1/2) - 22*q^(-1/2) - q^(-3/2))*x1^(1/2)*x2^(11/2) + (q^(11/2) + 11*q^(9/2) + 41*q^(7/2) + 103*q^(5/2) + 55*q^(3/2) + 19*q^(1/2) + q^(-1/2))*x1^(3/2)*x2^(11/2) + (-8*q^(13/2) - 18*q^(11/2) - 52*q^(9/2) - 35*q^(7/2) - 15*q^(5/2) - q^(3/2))*x1^(5/2)*x2^(11/2) + (10*q^(15/2) + 8*q^(13/2) + 8*q^(11/2) + q^(9/2))*x1^(7/2)*x2^(11/2) + (10*q^(9/2) + 21*q^(7/2) + q^(5/2) - 243*q^(3/2) - 211*q^(1/2) - 163*q^(-1/2) - 67*q^(-3/2) - 21*q^(-5/2) - 3*q^(-7/2))*x1^(1/2)*x2^(13/2) + (2*q^(15/2) + 4*q^(13/2) + 21*q^(11/2) + 68*q^(9/2) + 204*q^(7/2) + 433*q^(5/2) + 356*q^(3/2) + 217*q^(1/2) + 81*q^(-1/2) + 22*q^(-3/2) + 3*q^(-5/2))*x1^(3/2)*x2^(13/2) + (-q^(19/2) - 14*q^(17/2) - 27*q^(15/2) - 98*q^(13/2) - 172*q^(11/2) - 318*q^(9/2) - 282*q^(7/2) - 183*q^(5/2) - 74*q^(3/2) - 20*q^(1/2) - 3*q^(-1/2))*x1^(5/2)*x2^(13/2) + (10*q^(21/2) + 24*q^(19/2) + 50*q^(17/2) + 114*q^(15/2) + 113*q^(13/2) + 102*q^(11/2) + 52*q^(9/2) + 18*q^(7/2) + 3*q^(5/2))*x1^(7/2)*x2^(13/2) + (-15*q^(23/2) - 15*q^(21/2) - 21*q^(19/2) - 18*q^(17/2) - 9*q^(15/2) - 3*q^(13/2))*x1^(9/2)*x2^(13/2) + (-q^(13/2) + 21*q^(11/2) + 71*q^(9/2) + 110*q^(7/2) + 31*q^(5/2) - 592*q^(3/2) - 723*q^(1/2) - 763*q^(-1/2) - 522*q^(-3/2) - 302*q^(-5/2) - 119*q^(-7/2) - 60*q^(-9/2) - 11*q^(-11/2) - 3*q^(-13/2))*x1^(1/2)*x2^(15/2) + (q^(21/2) + 3*q^(19/2) + 7*q^(17/2) + 15*q^(15/2) + 40*q^(13/2) + 98*q^(11/2) + 309*q^(9/2) + 844*q^(7/2) + 1674*q^(5/2) + 1768*q^(3/2) + 1470*q^(1/2) + 902*q^(-1/2) + 455*q^(-3/2) + 181*q^(-5/2) + 70*q^(-7/2) + 14*q^(-9/2) + 3*q^(-11/2))*x1^(3/2)*x2^(15/2) + (-2*q^(25/2) - 6*q^(23/2) - 28*q^(21/2) - 57*q^(19/2) - 164*q^(17/2) - 309*q^(15/2) - 674*q^(13/2) - 1101*q^(11/2) - 1728*q^(9/2) - 1778*q^(7/2) - 1475*q^(5/2) - 914*q^(3/2) - 473*q^(1/2) - 183*q^(-1/2) - 69*q^(-3/2) - 14*q^(-5/2) - 3*q^(-7/2))*x1^(5/2)*x2^(15/2) + (q^(29/2) + 16*q^(27/2) + 32*q^(25/2) + 83*q^(23/2) + 194*q^(21/2) + 373*q^(19/2) + 586*q^(17/2) + 922*q^(15/2) + 993*q^(13/2) + 939*q^(11/2) + 664*q^(9/2) + 386*q^(7/2) + 165*q^(5/2) + 65*q^(3/2) + 14*q^(1/2) + 3*q^(-1/2))*x1^(7/2)*x2^(15/2) + (-12*q^(31/2) - 30*q^(29/2) - 66*q^(27/2) - 120*q^(25/2) - 243*q^(23/2) - 281*q^(21/2) - 324*q^(19/2) - 289*q^(17/2) - 207*q^(15/2) - 112*q^(13/2) - 54*q^(11/2) - 14*q^(9/2) - 3*q^(7/2))*x1^(9/2)*x2^(15/2) + (21*q^(33/2) + 24*q^(31/2) + 39*q^(29/2) + 45*q^(27/2) + 48*q^(25/2) + 30*q^(23/2) + 24*q^(21/2) + 9*q^(19/2) + 3*q^(17/2))*x1^(11/2)*x2^(15/2) + (-6*q^(17/2) - 8*q^(15/2) + 28*q^(13/2) + 157*q^(11/2) + 372*q^(9/2) + 515*q^(7/2) + 285*q^(5/2) - 1234*q^(3/2) - 2083*q^(1/2) - 2764*q^(-1/2) - 2565*q^(-3/2) - 2025*q^(-5/2) - 1252*q^(-7/2) - 779*q^(-9/2) - 383*q^(-11/2) - 193*q^(-13/2) - 75*q^(-15/2) - 23*q^(-17/2) - 8*q^(-19/2) - q^(-21/2))*x1^(1/2)*x2^(17/2) + (2*q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 13*q^(21/2) + 25*q^(19/2) + 40*q^(17/2) + 78*q^(15/2) + 104*q^(13/2) + 305*q^(11/2) + 1114*q^(9/2) + 3066*q^(7/2) + 6006*q^(5/2) + 7509*q^(3/2) + 7579*q^(1/2) + 6141*q^(-1/2) + 4247*q^(-3/2) + 2513*q^(-5/2) + 1385*q^(-7/2) + 655*q^(-9/2) + 290*q^(-11/2) + 105*q^(-13/2) + 32*q^(-15/2) + 9*q^(-17/2) + q^(-19/2))*x1^(3/2)*x2^(17/2) + (-q^(33/2) - 4*q^(31/2) - 12*q^(29/2) - 24*q^(27/2) - 72*q^(25/2) - 137*q^(23/2) - 326*q^(21/2) - 580*q^(19/2) - 1195*q^(17/2) - 2038*q^(15/2) - 3722*q^(13/2) - 5863*q^(11/2) - 8599*q^(9/2) - 9744*q^(7/2) - 9351*q^(5/2) - 7382*q^(3/2) - 5071*q^(1/2) - 2968*q^(-1/2) - 1591*q^(-3/2) - 738*q^(-5/2) - 313*q^(-7/2) - 112*q^(-9/2) - 33*q^(-11/2) - 9*q^(-13/2) - q^(-15/2))*x1^(5/2)*x2^(17/2) + (2*q^(37/2) + 6*q^(35/2) + 32*q^(33/2) + 64*q^(31/2) + 143*q^(29/2) + 334*q^(27/2) + 618*q^(25/2) + 1141*q^(23/2) + 2000*q^(21/2) + 3203*q^(19/2) + 4608*q^(17/2) + 6284*q^(15/2) + 7087*q^(13/2) + 7078*q^(11/2) + 5942*q^(9/2) + 4345*q^(7/2) + 2701*q^(5/2) + 1508*q^(3/2) + 714*q^(1/2) + 311*q^(-1/2) + 111*q^(-3/2) + 33*q^(-5/2) + 9*q^(-7/2) + q^(-9/2))*x1^(7/2)*x2^(17/2) + (-q^(41/2) - 18*q^(39/2) - 36*q^(37/2) - 96*q^(35/2) - 181*q^(33/2) - 409*q^(31/2) - 718*q^(29/2) - 1204*q^(27/2) - 1771*q^(25/2) - 2574*q^(23/2) - 3018*q^(21/2) - 3293*q^(19/2) - 3105*q^(17/2) - 2569*q^(15/2) - 1811*q^(13/2) - 1140*q^(11/2) - 603*q^(9/2) - 279*q^(7/2) - 108*q^(5/2) - 33*q^(3/2) - 9*q^(1/2) - q^(-1/2))*x1^(9/2)*x2^(17/2) + (14*q^(43/2) + 36*q^(41/2) + 82*q^(39/2) + 156*q^(37/2) + 274*q^(35/2) + 493*q^(33/2) + 637*q^(31/2) + 797*q^(29/2) + 874*q^(27/2) + 866*q^(25/2) + 709*q^(23/2) + 545*q^(21/2) + 347*q^(19/2) + 197*q^(17/2) + 87*q^(15/2) + 32*q^(13/2) + 9*q^(11/2) + q^(9/2))*x1^(11/2)*x2^(17/2) + (-28*q^(45/2) - 35*q^(43/2) - 62*q^(41/2) - 82*q^(39/2) - 107*q^(37/2) - 108*q^(35/2) - 101*q^(33/2) - 81*q^(31/2) - 62*q^(29/2) - 37*q^(27/2) - 17*q^(25/2) - 8*q^(23/2) - q^(21/2))*x1^(13/2)*x2^(17/2) + (-15*q^(21/2) - 30*q^(19/2) - 72*q^(17/2) - 15*q^(15/2) + 229*q^(13/2) + 829*q^(11/2) + 1674*q^(9/2) + 2279*q^(7/2) + 1785*q^(5/2) - 1742*q^(3/2) - 4955*q^(1/2) - 8313*q^(-1/2) - 9660*q^(-3/2) - 9514*q^(-5/2) - 7683*q^(-7/2) - 5855*q^(-9/2) - 3876*q^(-11/2) - 2549*q^(-13/2) - 1472*q^(-15/2) - 822*q^(-17/2) - 398*q^(-19/2) - 207*q^(-21/2) - 74*q^(-23/2) - 33*q^(-25/2) - 9*q^(-27/2) - 3*q^(-29/2))*x1^(1/2)*x2^(19/2) + (q^(35/2) + 3*q^(33/2) + 3*q^(31/2) + 7*q^(29/2) + 15*q^(27/2) + 25*q^(25/2) + 45*q^(23/2) + 74*q^(21/2) + 113*q^(19/2) + 133*q^(17/2) + 12*q^(15/2) - 174*q^(13/2) + 337*q^(11/2) + 3108*q^(9/2) + 9716*q^(7/2) + 19931*q^(5/2) + 28264*q^(3/2) + 32896*q^(1/2) + 31964*q^(-1/2) + 27146*q^(-3/2) + 20341*q^(-5/2) + 14089*q^(-7/2) + 8908*q^(-9/2) + 5339*q^(-11/2) + 2927*q^(-13/2) + 1510*q^(-15/2) + 712*q^(-17/2) + 322*q^(-19/2) + 119*q^(-21/2) + 45*q^(-23/2) + 12*q^(-25/2) + 3*q^(-27/2))*x1^(3/2)*x2^(19/2) + (-2*q^(41/2) - 4*q^(39/2) - 12*q^(37/2) - 24*q^(35/2) - 51*q^(33/2) - 98*q^(31/2) - 208*q^(29/2) - 364*q^(27/2) - 730*q^(25/2) - 1241*q^(23/2) - 2293*q^(21/2) - 3791*q^(19/2) - 6564*q^(17/2) - 10638*q^(15/2) - 17929*q^(13/2) - 27692*q^(11/2) - 39745*q^(9/2) - 48035*q^(7/2) - 50957*q^(5/2) - 46788*q^(3/2) - 38484*q^(1/2) - 28162*q^(-1/2) - 19066*q^(-3/2) - 11755*q^(-5/2) - 6850*q^(-7/2) - 3642*q^(-9/2) - 1837*q^(-11/2) - 831*q^(-13/2) - 366*q^(-15/2) - 131*q^(-17/2) - 48*q^(-19/2) - 12*q^(-21/2) - 3*q^(-23/2))*x1^(5/2)*x2^(19/2) + (q^(47/2) + 4*q^(45/2) + 13*q^(43/2) + 29*q^(41/2) + 81*q^(39/2) + 159*q^(37/2) + 323*q^(35/2) + 653*q^(33/2) + 1188*q^(31/2) + 2082*q^(29/2) + 3701*q^(27/2) + 6017*q^(25/2) + 9666*q^(23/2) + 14809*q^(21/2) + 21685*q^(19/2) + 29645*q^(17/2) + 38385*q^(15/2) + 44319*q^(13/2) + 46540*q^(11/2) + 43402*q^(9/2) + 36568*q^(7/2) + 27611*q^(5/2) + 19152*q^(3/2) + 12031*q^(1/2) + 7075*q^(-1/2) + 3793*q^(-3/2) + 1905*q^(-5/2) + 864*q^(-7/2) + 374*q^(-9/2) + 134*q^(-11/2) + 48*q^(-13/2) + 12*q^(-15/2) + 3*q^(-17/2))*x1^(7/2)*x2^(19/2) + (-2*q^(51/2) - 6*q^(49/2) - 34*q^(47/2) - 70*q^(45/2) - 156*q^(43/2) - 315*q^(41/2) - 650*q^(39/2) - 1156*q^(37/2) - 2096*q^(35/2) - 3421*q^(33/2) - 5663*q^(31/2) - 8595*q^(29/2) - 12463*q^(27/2) - 16767*q^(25/2) - 21699*q^(23/2) - 25215*q^(21/2) - 27382*q^(19/2) - 26953*q^(17/2) - 24308*q^(15/2) - 19731*q^(13/2) - 14734*q^(11/2) - 9907*q^(9/2) - 6166*q^(7/2) - 3461*q^(5/2) - 1802*q^(3/2) - 840*q^(1/2) - 370*q^(-1/2) - 134*q^(-3/2) - 48*q^(-5/2) - 12*q^(-7/2) - 3*q^(-9/2))*x1^(9/2)*x2^(19/2) + (q^(55/2) + 20*q^(53/2) + 40*q^(51/2) + 108*q^(49/2) + 206*q^(47/2) + 413*q^(45/2) + 782*q^(43/2) + 1398*q^(41/2) + 2254*q^(39/2) + 3482*q^(37/2) + 4963*q^(35/2) + 6882*q^(33/2) + 8455*q^(31/2) + 9836*q^(29/2) + 10495*q^(27/2) + 10448*q^(25/2) + 9350*q^(23/2) + 7813*q^(21/2) + 5878*q^(19/2) + 4106*q^(17/2) + 2547*q^(15/2) + 1458*q^(13/2) + 732*q^(11/2) + 344*q^(9/2) + 131*q^(7/2) + 48*q^(5/2) + 12*q^(3/2) + 3*q^(1/2))*x1^(11/2)*x2^(19/2) + (-16*q^(57/2) - 42*q^(55/2) - 98*q^(53/2) - 192*q^(51/2) - 350*q^(49/2) - 578*q^(47/2) - 988*q^(45/2) - 1329*q^(43/2) - 1761*q^(41/2) - 2111*q^(39/2) - 2397*q^(37/2) - 2439*q^(35/2) - 2326*q^(33/2) - 2003*q^(31/2) - 1637*q^(29/2) - 1191*q^(27/2) - 791*q^(25/2) - 468*q^(23/2) - 253*q^(21/2) - 111*q^(19/2) - 45*q^(17/2) - 12*q^(15/2) - 3*q^(13/2))*x1^(13/2)*x2^(19/2) + (36*q^(59/2) + 48*q^(57/2) + 90*q^(55/2) + 129*q^(53/2) + 186*q^(51/2) + 222*q^(49/2) + 264*q^(47/2) + 252*q^(45/2) + 255*q^(43/2) + 219*q^(41/2) + 183*q^(39/2) + 126*q^(37/2) + 90*q^(35/2) + 48*q^(33/2) + 27*q^(31/2) + 9*q^(29/2) + 3*q^(27/2))*x1^(15/2)*x2^(19/2)

(1/2, 5/2)

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

q^(-29/2)

(-q^(3/2))*x1^(-1/2)*x2^(-5/2) + (-7*q^(3/2))*x1^(-1/2)*x2^(-7/2) + (3*q^(5/2))*x1^(-3/2)*x2^(-7/2) + (-28*q^(3/2) - 7*q^(1/2))*x1^(-1/2)*x2^(-9/2) + (6*q^(7/2) + 21*q^(5/2) + 5*q^(3/2))*x1^(-3/2)*x2^(-9/2) + (-6*q^(9/2) - 3*q^(7/2))*x1^(-5/2)*x2^(-9/2) + (3*q^(7/2) - 89*q^(3/2) - 48*q^(1/2) - 22*q^(-1/2) - q^(-3/2))*x1^(-1/2)*x2^(-11/2) + (q^(11/2) + 11*q^(9/2) + 41*q^(7/2) + 103*q^(5/2) + 55*q^(3/2) + 19*q^(1/2) + q^(-1/2))*x1^(-3/2)*x2^(-11/2) + (-8*q^(13/2) - 18*q^(11/2) - 52*q^(9/2) - 35*q^(7/2) - 15*q^(5/2) - q^(3/2))*x1^(-5/2)*x2^(-11/2) + (10*q^(15/2) + 8*q^(13/2) + 8*q^(11/2) + q^(9/2))*x1^(-7/2)*x2^(-11/2) + (10*q^(9/2) + 21*q^(7/2) + q^(5/2) - 243*q^(3/2) - 211*q^(1/2) - 163*q^(-1/2) - 67*q^(-3/2) - 21*q^(-5/2) - 3*q^(-7/2))*x1^(-1/2)*x2^(-13/2) + (2*q^(15/2) + 4*q^(13/2) + 21*q^(11/2) + 68*q^(9/2) + 204*q^(7/2) + 433*q^(5/2) + 356*q^(3/2) + 217*q^(1/2) + 81*q^(-1/2) + 22*q^(-3/2) + 3*q^(-5/2))*x1^(-3/2)*x2^(-13/2) + (-q^(19/2) - 14*q^(17/2) - 27*q^(15/2) - 98*q^(13/2) - 172*q^(11/2) - 318*q^(9/2) - 282*q^(7/2) - 183*q^(5/2) - 74*q^(3/2) - 20*q^(1/2) - 3*q^(-1/2))*x1^(-5/2)*x2^(-13/2) + (10*q^(21/2) + 24*q^(19/2) + 50*q^(17/2) + 114*q^(15/2) + 113*q^(13/2) + 102*q^(11/2) + 52*q^(9/2) + 18*q^(7/2) + 3*q^(5/2))*x1^(-7/2)*x2^(-13/2) + (-15*q^(23/2) - 15*q^(21/2) - 21*q^(19/2) - 18*q^(17/2) - 9*q^(15/2) - 3*q^(13/2))*x1^(-9/2)*x2^(-13/2) + (-q^(13/2) + 21*q^(11/2) + 71*q^(9/2) + 110*q^(7/2) + 31*q^(5/2) - 592*q^(3/2) - 723*q^(1/2) - 763*q^(-1/2) - 522*q^(-3/2) - 302*q^(-5/2) - 119*q^(-7/2) - 60*q^(-9/2) - 11*q^(-11/2) - 3*q^(-13/2))*x1^(-1/2)*x2^(-15/2) + (q^(21/2) + 3*q^(19/2) + 7*q^(17/2) + 15*q^(15/2) + 40*q^(13/2) + 98*q^(11/2) + 309*q^(9/2) + 844*q^(7/2) + 1674*q^(5/2) + 1768*q^(3/2) + 1470*q^(1/2) + 902*q^(-1/2) + 455*q^(-3/2) + 181*q^(-5/2) + 70*q^(-7/2) + 14*q^(-9/2) + 3*q^(-11/2))*x1^(-3/2)*x2^(-15/2) + (-2*q^(25/2) - 6*q^(23/2) - 28*q^(21/2) - 57*q^(19/2) - 164*q^(17/2) - 309*q^(15/2) - 674*q^(13/2) - 1101*q^(11/2) - 1728*q^(9/2) - 1778*q^(7/2) - 1475*q^(5/2) - 914*q^(3/2) - 473*q^(1/2) - 183*q^(-1/2) - 69*q^(-3/2) - 14*q^(-5/2) - 3*q^(-7/2))*x1^(-5/2)*x2^(-15/2) + (q^(29/2) + 16*q^(27/2) + 32*q^(25/2) + 83*q^(23/2) + 194*q^(21/2) + 373*q^(19/2) + 586*q^(17/2) + 922*q^(15/2) + 993*q^(13/2) + 939*q^(11/2) + 664*q^(9/2) + 386*q^(7/2) + 165*q^(5/2) + 65*q^(3/2) + 14*q^(1/2) + 3*q^(-1/2))*x1^(-7/2)*x2^(-15/2) + (-12*q^(31/2) - 30*q^(29/2) - 66*q^(27/2) - 120*q^(25/2) - 243*q^(23/2) - 281*q^(21/2) - 324*q^(19/2) - 289*q^(17/2) - 207*q^(15/2) - 112*q^(13/2) - 54*q^(11/2) - 14*q^(9/2) - 3*q^(7/2))*x1^(-9/2)*x2^(-15/2) + (21*q^(33/2) + 24*q^(31/2) + 39*q^(29/2) + 45*q^(27/2) + 48*q^(25/2) + 30*q^(23/2) + 24*q^(21/2) + 9*q^(19/2) + 3*q^(17/2))*x1^(-11/2)*x2^(-15/2) + (-6*q^(17/2) - 8*q^(15/2) + 28*q^(13/2) + 157*q^(11/2) + 372*q^(9/2) + 515*q^(7/2) + 285*q^(5/2) - 1234*q^(3/2) - 2083*q^(1/2) - 2764*q^(-1/2) - 2565*q^(-3/2) - 2025*q^(-5/2) - 1252*q^(-7/2) - 779*q^(-9/2) - 383*q^(-11/2) - 193*q^(-13/2) - 75*q^(-15/2) - 23*q^(-17/2) - 8*q^(-19/2) - q^(-21/2))*x1^(-1/2)*x2^(-17/2) + (2*q^(27/2) + 2*q^(25/2) + 6*q^(23/2) + 13*q^(21/2) + 25*q^(19/2) + 40*q^(17/2) + 78*q^(15/2) + 104*q^(13/2) + 305*q^(11/2) + 1114*q^(9/2) + 3066*q^(7/2) + 6006*q^(5/2) + 7509*q^(3/2) + 7579*q^(1/2) + 6141*q^(-1/2) + 4247*q^(-3/2) + 2513*q^(-5/2) + 1385*q^(-7/2) + 655*q^(-9/2) + 290*q^(-11/2) + 105*q^(-13/2) + 32*q^(-15/2) + 9*q^(-17/2) + q^(-19/2))*x1^(-3/2)*x2^(-17/2) + (-q^(33/2) - 4*q^(31/2) - 12*q^(29/2) - 24*q^(27/2) - 72*q^(25/2) - 137*q^(23/2) - 326*q^(21/2) - 580*q^(19/2) - 1195*q^(17/2) - 2038*q^(15/2) - 3722*q^(13/2) - 5863*q^(11/2) - 8599*q^(9/2) - 9744*q^(7/2) - 9351*q^(5/2) - 7382*q^(3/2) - 5071*q^(1/2) - 2968*q^(-1/2) - 1591*q^(-3/2) - 738*q^(-5/2) - 313*q^(-7/2) - 112*q^(-9/2) - 33*q^(-11/2) - 9*q^(-13/2) - q^(-15/2))*x1^(-5/2)*x2^(-17/2) + (2*q^(37/2) + 6*q^(35/2) + 32*q^(33/2) + 64*q^(31/2) + 143*q^(29/2) + 334*q^(27/2) + 618*q^(25/2) + 1141*q^(23/2) + 2000*q^(21/2) + 3203*q^(19/2) + 4608*q^(17/2) + 6284*q^(15/2) + 7087*q^(13/2) + 7078*q^(11/2) + 5942*q^(9/2) + 4345*q^(7/2) + 2701*q^(5/2) + 1508*q^(3/2) + 714*q^(1/2) + 311*q^(-1/2) + 111*q^(-3/2) + 33*q^(-5/2) + 9*q^(-7/2) + q^(-9/2))*x1^(-7/2)*x2^(-17/2) + (-q^(41/2) - 18*q^(39/2) - 36*q^(37/2) - 96*q^(35/2) - 181*q^(33/2) - 409*q^(31/2) - 718*q^(29/2) - 1204*q^(27/2) - 1771*q^(25/2) - 2574*q^(23/2) - 3018*q^(21/2) - 3293*q^(19/2) - 3105*q^(17/2) - 2569*q^(15/2) - 1811*q^(13/2) - 1140*q^(11/2) - 603*q^(9/2) - 279*q^(7/2) - 108*q^(5/2) - 33*q^(3/2) - 9*q^(1/2) - q^(-1/2))*x1^(-9/2)*x2^(-17/2) + (14*q^(43/2) + 36*q^(41/2) + 82*q^(39/2) + 156*q^(37/2) + 274*q^(35/2) + 493*q^(33/2) + 637*q^(31/2) + 797*q^(29/2) + 874*q^(27/2) + 866*q^(25/2) + 709*q^(23/2) + 545*q^(21/2) + 347*q^(19/2) + 197*q^(17/2) + 87*q^(15/2) + 32*q^(13/2) + 9*q^(11/2) + q^(9/2))*x1^(-11/2)*x2^(-17/2) + (-28*q^(45/2) - 35*q^(43/2) - 62*q^(41/2) - 82*q^(39/2) - 107*q^(37/2) - 108*q^(35/2) - 101*q^(33/2) - 81*q^(31/2) - 62*q^(29/2) - 37*q^(27/2) - 17*q^(25/2) - 8*q^(23/2) - q^(21/2))*x1^(-13/2)*x2^(-17/2) + (-15*q^(21/2) - 30*q^(19/2) - 72*q^(17/2) - 15*q^(15/2) + 229*q^(13/2) + 829*q^(11/2) + 1674*q^(9/2) + 2279*q^(7/2) + 1785*q^(5/2) - 1742*q^(3/2) - 4955*q^(1/2) - 8313*q^(-1/2) - 9660*q^(-3/2) - 9514*q^(-5/2) - 7683*q^(-7/2) - 5855*q^(-9/2) - 3876*q^(-11/2) - 2549*q^(-13/2) - 1472*q^(-15/2) - 822*q^(-17/2) - 398*q^(-19/2) - 207*q^(-21/2) - 74*q^(-23/2) - 33*q^(-25/2) - 9*q^(-27/2) - 3*q^(-29/2))*x1^(-1/2)*x2^(-19/2) + (q^(35/2) + 3*q^(33/2) + 3*q^(31/2) + 7*q^(29/2) + 15*q^(27/2) + 25*q^(25/2) + 45*q^(23/2) + 74*q^(21/2) + 113*q^(19/2) + 133*q^(17/2) + 12*q^(15/2) - 174*q^(13/2) + 337*q^(11/2) + 3108*q^(9/2) + 9716*q^(7/2) + 19931*q^(5/2) + 28264*q^(3/2) + 32896*q^(1/2) + 31964*q^(-1/2) + 27146*q^(-3/2) + 20341*q^(-5/2) + 14089*q^(-7/2) + 8908*q^(-9/2) + 5339*q^(-11/2) + 2927*q^(-13/2) + 1510*q^(-15/2) + 712*q^(-17/2) + 322*q^(-19/2) + 119*q^(-21/2) + 45*q^(-23/2) + 12*q^(-25/2) + 3*q^(-27/2))*x1^(-3/2)*x2^(-19/2) + (-2*q^(41/2) - 4*q^(39/2) - 12*q^(37/2) - 24*q^(35/2) - 51*q^(33/2) - 98*q^(31/2) - 208*q^(29/2) - 364*q^(27/2) - 730*q^(25/2) - 1241*q^(23/2) - 2293*q^(21/2) - 3791*q^(19/2) - 6564*q^(17/2) - 10638*q^(15/2) - 17929*q^(13/2) - 27692*q^(11/2) - 39745*q^(9/2) - 48035*q^(7/2) - 50957*q^(5/2) - 46788*q^(3/2) - 38484*q^(1/2) - 28162*q^(-1/2) - 19066*q^(-3/2) - 11755*q^(-5/2) - 6850*q^(-7/2) - 3642*q^(-9/2) - 1837*q^(-11/2) - 831*q^(-13/2) - 366*q^(-15/2) - 131*q^(-17/2) - 48*q^(-19/2) - 12*q^(-21/2) - 3*q^(-23/2))*x1^(-5/2)*x2^(-19/2) + (q^(47/2) + 4*q^(45/2) + 13*q^(43/2) + 29*q^(41/2) + 81*q^(39/2) + 159*q^(37/2) + 323*q^(35/2) + 653*q^(33/2) + 1188*q^(31/2) + 2082*q^(29/2) + 3701*q^(27/2) + 6017*q^(25/2) + 9666*q^(23/2) + 14809*q^(21/2) + 21685*q^(19/2) + 29645*q^(17/2) + 38385*q^(15/2) + 44319*q^(13/2) + 46540*q^(11/2) + 43402*q^(9/2) + 36568*q^(7/2) + 27611*q^(5/2) + 19152*q^(3/2) + 12031*q^(1/2) + 7075*q^(-1/2) + 3793*q^(-3/2) + 1905*q^(-5/2) + 864*q^(-7/2) + 374*q^(-9/2) + 134*q^(-11/2) + 48*q^(-13/2) + 12*q^(-15/2) + 3*q^(-17/2))*x1^(-7/2)*x2^(-19/2) + (-2*q^(51/2) - 6*q^(49/2) - 34*q^(47/2) - 70*q^(45/2) - 156*q^(43/2) - 315*q^(41/2) - 650*q^(39/2) - 1156*q^(37/2) - 2096*q^(35/2) - 3421*q^(33/2) - 5663*q^(31/2) - 8595*q^(29/2) - 12463*q^(27/2) - 16767*q^(25/2) - 21699*q^(23/2) - 25215*q^(21/2) - 27382*q^(19/2) - 26953*q^(17/2) - 24308*q^(15/2) - 19731*q^(13/2) - 14734*q^(11/2) - 9907*q^(9/2) - 6166*q^(7/2) - 3461*q^(5/2) - 1802*q^(3/2) - 840*q^(1/2) - 370*q^(-1/2) - 134*q^(-3/2) - 48*q^(-5/2) - 12*q^(-7/2) - 3*q^(-9/2))*x1^(-9/2)*x2^(-19/2) + (q^(55/2) + 20*q^(53/2) + 40*q^(51/2) + 108*q^(49/2) + 206*q^(47/2) + 413*q^(45/2) + 782*q^(43/2) + 1398*q^(41/2) + 2254*q^(39/2) + 3482*q^(37/2) + 4963*q^(35/2) + 6882*q^(33/2) + 8455*q^(31/2) + 9836*q^(29/2) + 10495*q^(27/2) + 10448*q^(25/2) + 9350*q^(23/2) + 7813*q^(21/2) + 5878*q^(19/2) + 4106*q^(17/2) + 2547*q^(15/2) + 1458*q^(13/2) + 732*q^(11/2) + 344*q^(9/2) + 131*q^(7/2) + 48*q^(5/2) + 12*q^(3/2) + 3*q^(1/2))*x1^(-11/2)*x2^(-19/2) + (-16*q^(57/2) - 42*q^(55/2) - 98*q^(53/2) - 192*q^(51/2) - 350*q^(49/2) - 578*q^(47/2) - 988*q^(45/2) - 1329*q^(43/2) - 1761*q^(41/2) - 2111*q^(39/2) - 2397*q^(37/2) - 2439*q^(35/2) - 2326*q^(33/2) - 2003*q^(31/2) - 1637*q^(29/2) - 1191*q^(27/2) - 791*q^(25/2) - 468*q^(23/2) - 253*q^(21/2) - 111*q^(19/2) - 45*q^(17/2) - 12*q^(15/2) - 3*q^(13/2))*x1^(-13/2)*x2^(-19/2) + (36*q^(59/2) + 48*q^(57/2) + 90*q^(55/2) + 129*q^(53/2) + 186*q^(51/2) + 222*q^(49/2) + 264*q^(47/2) + 252*q^(45/2) + 255*q^(43/2) + 219*q^(41/2) + 183*q^(39/2) + 126*q^(37/2) + 90*q^(35/2) + 48*q^(33/2) + 27*q^(31/2) + 9*q^(29/2) + 3*q^(27/2))*x1^(-15/2)*x2^(-19/2)

Braid

Braid word	Components	Crossings	Strands
`[2, 1, 2, -3, 4, -3, 2, 2, -1, 2, -3, 2, -4, -3, 1]`	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) - 10A1^(1/2)A2^(-1/2) + 3A1^(1/2)A2^(-3/2) + 3A1^(-1/2)A2^(3/2) - 10A1^(-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^(-6)A1^(-1)A2^(-3) + 8m^(-5)A1^(-1)A2^(-2) + m^(-5)A2^(-3) + 21m^(-4)A1^(-1)A2^(-1) + 11m^(-4)A2^(-2) + 24m^(-3)A1^(-1) + 34m^(-3)A2^(-1) + 3m^(-3)A1A2^(-2) + 13m^(-2)A1^(-1)A2 + 48m^(-2) + 13m^(-2)A1A2^(-1) + 3m^(-1)A1^(-1)A2^2 + 34m^(-1)A2 + 24m^(-1)A1 + 11A2^2 + 21A1A2 + mA2^3 + 8mA1A2^2 + m^2A1*A2^3`

Vertex	Maslov	Rank
`(-1, -3)`	-6	1
`(0, -3)`	-5	1
`(1, -2)`	-3	3
`(1, 3)`	2	1
`(0, 3)`	1	1
`(-1, 2)`	-1	3

Record

FL/HFL Links

`orderOption(int)`	`668`
`namestring`	`L11a127{1}`
`statusstring`	`success`
`slugstring`	`L11a127_1_83fb1b6a`
`result_filestring`	`details/L11a127_1_83fb1b6a.json`
`complexity_scoreOption(int)`	`242`
`strandsOption(int)`	`null`
`crossingsOption(int)`	`11`
`component_countOption(int)`	`2`
`girthOption(int)`	`6`
`total_rankOption(int)`	`280`
`wall_secondsOption(float)`	`0.003822`
`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": "L11a127_1_83fb1b6a" }
`detail_assetstring`	`/api/v1/datasets/FLHFLLinks/assets/L11a127_1_83fb1b6a`