{ "nu": 0.7, "c": 1.0, "sample_count": 720, "samples": [ { "alpha": -0.25, "rho": 0.02, "omega_theta_equator": 0.0002896870384626236, "l1_shell_density": 1.1436385878997009e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.021246198012280688, "omega_theta_equator": 0.00030773345461809206, "l1_shell_density": 1.3709982711020061e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.022570046498851987, "omega_theta_equator": 0.00032690355502876294, "l1_shell_density": 1.6435552066239805e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.023976383853049572, "omega_theta_equator": 0.000347267200074482, "l1_shell_density": 1.9702932823144974e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.025470349948017026, "omega_theta_equator": 0.00036889857206712516, "l1_shell_density": 2.361981781478806e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.02705740492188264, "omega_theta_equator": 0.00039187643837737004, "l1_shell_density": 2.831530080738558e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.028743349133438824, "omega_theta_equator": 0.00041628442973080747, "l1_shell_density": 3.3944127723204074e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.030534344361257883, "omega_theta_equator": 0.0004422113343752299, "l1_shell_density": 4.069179178529822e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.03243693632372254, "omega_theta_equator": 0.0004697514088164134, "l1_shell_density": 4.878063991245165e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.034458078602277446, "omega_theta_equator": 0.0004990047058053748, "l1_shell_density": 5.847719079873055e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.036605158055335936, "omega_theta_equator": 0.0005300774202334314, "l1_shell_density": 7.010090474312624e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.03888602181572491, "omega_theta_equator": 0.0005630822535493998, "l1_shell_density": 8.403469272801432e-06, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.04130900597033792, "omega_theta_equator": 0.0005981387972523253, "l1_shell_density": 1.0073750900461593e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.0438829660268142, "omega_theta_equator": 0.0006353739359287939, "l1_shell_density": 1.2075943934675746e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.046617309278594025, "omega_theta_equator": 0.0006749222701909352, "l1_shell_density": 1.4475977834687126e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.049522029186636916, "omega_theta_equator": 0.0007169265597232127, "l1_shell_density": 1.73528686229322e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.052607741903461534, "omega_theta_equator": 0.0007615381864555096, "l1_shell_density": 2.0801313171396333e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.05588572507299499, "omega_theta_equator": 0.0008089176376375707, "l1_shell_density": 2.4934796612352572e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.059367959048036545, "omega_theta_equator": 0.0008592350082846633, "l1_shell_density": 2.9889313952013158e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.06306717067597775, "omega_theta_equator": 0.0009126705220832453, "l1_shell_density": 3.582782673093912e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.06699687981280626, "omega_theta_equator": 0.0009694150693727254, "l1_shell_density": 4.294559915370725e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.07117144873539258, "omega_theta_equator": 0.001029670760236435, "l1_shell_density": 5.1476586219653935e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.07560613463265171, "omega_theta_equator": 0.0010936514900193762, "l1_shell_density": 6.170107987214863e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.08031714536742353, "omega_theta_equator": 0.0011615835137156116, "l1_shell_density": 7.395485904029765e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.08532169871287063, "omega_theta_equator": 0.0012337060246028569, "l1_shell_density": 8.864013684050027e-05, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.09063808527989017, "omega_theta_equator": 0.0013102717312085661, "l1_shell_density": 0.0001062386544989873, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.09628573536552643, "omega_theta_equator": 0.0013915474251263813, "l1_shell_density": 0.00012732733833737648, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.10228528996670158, "omega_theta_equator": 0.001477814530312102, "l1_shell_density": 0.00015259701527047708, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.10865867621880443, "omega_theta_equator": 0.0015693696222129415, "l1_shell_density": 0.0001828747758185091, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.11542918753485062, "omega_theta_equator": 0.0016665249023508398, "l1_shell_density": 0.00021915068406081406, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.12262156873810588, "omega_theta_equator": 0.0017696086107055959, "l1_shell_density": 0.00026260966400970363, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.1302621064993142, "omega_theta_equator": 0.0018789653543286762, "l1_shell_density": 0.00031466954465739845, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.13837872540906118, "omega_theta_equator": 0.0019949563259499953, "l1_shell_density": 0.00037702642488118436, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.14700109003639653, "omega_theta_equator": 0.0021179593807867025, "l1_shell_density": 0.0004517087282302394, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.15616071334671905, "omega_theta_equator": 0.002248368933175263, "l1_shell_density": 0.000541141560361642, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.1658910718751698, "omega_theta_equator": 0.002386595626855562, "l1_shell_density": 0.0006482232626788568, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.17622772807646717, "omega_theta_equator": 0.002533065723547405, "l1_shell_density": 0.0007764163786353674, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.1872084602983489, "omega_theta_equator": 0.002688220143663581, "l1_shell_density": 0.0009298556179287342, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.19887340085364533, "omega_theta_equator": 0.0028525130803684264, "l1_shell_density": 0.001113475821356293, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.2112651826956109, "omega_theta_equator": 0.0030264100934702756, "l1_shell_density": 0.0013331633969116965, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.2244290952325802, "omega_theta_equator": 0.0032103855725752937, "l1_shell_density": 0.001595935214868261, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.23841324985141987, "omega_theta_equator": 0.0034049194392775295, "l1_shell_density": 0.0019101495115332549, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.25326875575473073, "omega_theta_equator": 0.003610492935685225, "l1_shell_density": 0.0022857539479989534, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.2690499067544481, "omega_theta_equator": 0.0038275833211038955, "l1_shell_density": 0.002734576583571491, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.28581437970453283, "omega_theta_equator": 0.0040566572701165315, "l1_shell_density": 0.003270666124441259, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.3036234452979841, "omega_theta_equator": 0.004298162733665386, "l1_shell_density": 0.003910688351854308, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.32254219199859213, "omega_theta_equator": 0.004552518990309462, "l1_shell_density": 0.004674386054659841, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.34263976392585715, "omega_theta_equator": 0.004820104578187396, "l1_shell_density": 0.005585109994316916, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.36398961356249343, "omega_theta_equator": 0.005101242760393562, "l1_shell_density": 0.006670428284326863, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.38666977020811294, "omega_theta_equator": 0.005396184139149612, "l1_shell_density": 0.007962820889806498, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.4107631251602319, "omega_theta_equator": 0.005705085999869197, "l1_shell_density": 0.009500464503232569, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.436357734664876, "omega_theta_equator": 0.006027987938682995, "l1_shell_density": 0.011328110507705273, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.4635471417440095, "omega_theta_equator": 0.00636478331146421, "l1_shell_density": 0.013498054682152053, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.49243071807599814, "omega_theta_equator": 0.006715186046102924, "l1_shell_density": 0.01607119120303349, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.5231140271786111, "omega_theta_equator": 0.007078692392456389, "l1_shell_density": 0.019118134694588285, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.5557092102219175, "omega_theta_equator": 0.007454537258865931, "l1_shell_density": 0.022720381776543258, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.5903353958811486, "omega_theta_equator": 0.007841644916873574, "l1_shell_density": 0.026971466822770684, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.6271191357274496, "omega_theta_equator": 0.008238574067500608, "l1_shell_density": 0.03197804443964969, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.6661948667477856, "omega_theta_equator": 0.008643457578441845, "l1_shell_density": 0.03786080242558614, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.7077054026844198, "omega_theta_equator": 0.009053937651569107, "l1_shell_density": 0.04475507270505646, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.7518024559897011, "omega_theta_equator": 0.009467097797749898, "l1_shell_density": 0.052810963282630755, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.7986471923038062, "omega_theta_equator": 0.00987939381646938, "l1_shell_density": 0.06219278164938531, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.8484108194819334, "omega_theta_equator": 0.010286587034377926, "l1_shell_density": 0.0730774605129486, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.901275213323724, "omega_theta_equator": 0.010683684374507252, "l1_shell_density": 0.08565163337857647, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 0.9574335822918177, "omega_theta_equator": 0.011064891412825607, "l1_shell_density": 0.10010694648918744, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.0170911736489596, "omega_theta_equator": 0.011423586404114706, "l1_shell_density": 0.1166331452180427, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.0804660235944377, "omega_theta_equator": 0.011752325244430215, "l1_shell_density": 0.13540845303706317, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.1477897541414472, "omega_theta_equator": 0.012042889322756168, "l1_shell_density": 0.15658679236059042, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.2193084196478075, "omega_theta_equator": 0.012286389929965813, "l1_shell_density": 0.18028150923978833, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.2952834060939176, "omega_theta_equator": 0.012473443927547479, "l1_shell_density": 0.20654549553900273, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.3759923863946373, "omega_theta_equator": 0.012594435154623784, "l1_shell_density": 0.23534799448786195, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.461730335236554, "omega_theta_equator": 0.012639873822765624, "l1_shell_density": 0.26654896709597475, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.5528106071496626, "omega_theta_equator": 0.012600861034938978, "l1_shell_density": 0.29987271074246136, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.6495660817535762, "omega_theta_equator": 0.012469656663184876, "l1_shell_density": 0.33488344406853376, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.7523503803639233, "omega_theta_equator": 0.012240335407461573, "l1_shell_density": 0.37096672687057675, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.8615391584053644, "omega_theta_equator": 0.011909497731323323, "l1_shell_density": 0.4073216964759244, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1.9775314783547346, "omega_theta_equator": 0.01147698030620823, "l1_shell_density": 0.4429698752508562, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 2.100751268232142, "omega_theta_equator": 0.01094648689448707, "l1_shell_density": 0.4767863085221938, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 2.231648870970492, "omega_theta_equator": 0.01032603955794579, "l1_shell_density": 0.5075575084283838, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 2.370702690326086, "omega_theta_equator": 0.009628138131029048, "l1_shell_density": 0.5340676136892828, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 2.518420939345727, "omega_theta_equator": 0.008869521067154188, "l1_shell_density": 0.555209077697111, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 2.675343497780663, "omega_theta_equator": 0.008070450984876715, "l1_shell_density": 0.5701073643051264, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 2.8420438852357774, "omega_theta_equator": 0.0072535083607583786, "l1_shell_density": 0.5782417176071379, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 3.019131357265541, "omega_theta_equator": 0.00644196461009039, "l1_shell_density": 0.579538240223419, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 3.2072531320774726, "omega_theta_equator": 0.005657908187591208, "l1_shell_density": 0.5744101653168167, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 3.407096755981268, "omega_theta_equator": 0.0049203891228581055, "l1_shell_density": 0.5637260823802626, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 3.619392616228861, "omega_theta_equator": 0.004243895200356085, "l1_shell_density": 0.5487010462925292, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 3.8449166104292485, "omega_theta_equator": 0.003637446056337848, "l1_shell_density": 0.5307257471291782, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 4.084492982294342, "omega_theta_equator": 0.0031044775507470626, "l1_shell_density": 0.5111690818052894, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 4.338997334079825, "omega_theta_equator": 0.0026435082276596127, "l1_shell_density": 0.49120092776965646, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 4.609359826730896, "omega_theta_equator": 0.0022493873921844943, "l1_shell_density": 0.4716775724746827, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 4.8965685794288225, "omega_theta_equator": 0.0019147918187810906, "l1_shell_density": 0.4531114027233954, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 5.201673280962832, "omega_theta_equator": 0.0016316192194170017, "l1_shell_density": 0.43571719467798026, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 5.525789026126301, "omega_theta_equator": 0.0013920252402273036, "l1_shell_density": 0.4195033705360538, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 5.8701003911583545, "omega_theta_equator": 0.0011890146280403417, "l1_shell_density": 0.4043691362400519, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 6.235865763125831, "omega_theta_equator": 0.0010166474450749624, "l1_shell_density": 0.3901787692062322, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 6.6244219390686645, "omega_theta_equator": 0.0008699996190232724, "l1_shell_density": 0.376803372725174, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 7.037189011717457, "omega_theta_equator": 0.0007450158629103959, "l1_shell_density": 0.3641360669235155, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 7.4756755596397415, "omega_theta_equator": 0.0006383459229555684, "l1_shell_density": 0.35209245953632257, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 7.941484160783662, "omega_theta_equator": 0.0005472040184241835, "l1_shell_density": 0.3406060606867839, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 8.436317249570015, "omega_theta_equator": 0.000469259043061622, "l1_shell_density": 0.32962352714683524, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 8.961983338939179, "omega_theta_equator": 0.00040255045082111086, "l1_shell_density": 0.31910111897677207, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 9.520403630093115, "omega_theta_equator": 0.00034542297346064446, "l1_shell_density": 0.3090022816618248, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 10.113619034089703, "omega_theta_equator": 0.00029647492509490446, "l1_shell_density": 0.29929598718699624, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 10.743797630952042, "omega_theta_equator": 0.00025451656335851185, "l1_shell_density": 0.2899555558523825, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 11.413242593553955, "omega_theta_equator": 0.00021853612449066327, "l1_shell_density": 0.28095779084893197, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 12.124400605242156, "omega_theta_equator": 0.00018767185676621886, "l1_shell_density": 0.2722823255911984, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 12.879870801959537, "omega_theta_equator": 0.00016118882642010988, "l1_shell_density": 0.26391112132605715, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 13.682414271551231, "omega_theta_equator": 0.00013845957188313136, "l1_shell_density": 0.2558280739920055, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 14.534964144971639, "omega_theta_equator": 0.00011894789366312286, "l1_shell_density": 0.24801870233479206, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 15.440636316273364, "omega_theta_equator": 0.00010219522056871332, "l1_shell_density": 0.2404698975988734, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 16.402740830557796, "omega_theta_equator": 8.780910712001868e-05, "l1_shell_density": 0.23316972062059946, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 17.424793981507623, "omega_theta_equator": 7.545350376227957e-05, "l1_shell_density": 0.22610723590614334, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 18.510531162715374, "omega_theta_equator": 6.484050861715284e-05, "l1_shell_density": 0.21927237490473056, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 19.66392051977716, "omega_theta_equator": 5.5723362183289865e-05, "l1_shell_density": 0.21265582256416501, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 20.889177453046734, "omega_theta_equator": 4.789048825020731e-05, "l1_shell_density": 0.2062489226203947, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 22.190780024054988, "omega_theta_equator": 4.116041788959007e-05, "l1_shell_density": 0.20004359808139457, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 23.57348532190176, "omega_theta_equator": 3.537746060423023e-05, "l1_shell_density": 0.19403228412166804, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 25.04234684943584, "omega_theta_equator": 3.0408008928656274e-05, "l1_shell_density": 0.18820787117772259, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 26.60273299276635, "omega_theta_equator": 2.6137381026103722e-05, "l1_shell_density": 0.18256365647573713, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 28.26034664160732, "omega_theta_equator": 2.2467120906349033e-05, "l1_shell_density": 0.17709330256489486, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 30.021246032164015, "omega_theta_equator": 1.931268841036227e-05, "l1_shell_density": 0.17179080169796418, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 31.89186688873764, "omega_theta_equator": 1.660148154935314e-05, "l1_shell_density": 0.16665044511271906, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 33.87904594497087, "omega_theta_equator": 1.4271142525468418e-05, "l1_shell_density": 0.1616667964366371, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 35.99004593070028, "omega_theta_equator": 1.2268106100330714e-05, "l1_shell_density": 0.15683466857287962, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 38.23258211573677, "omega_theta_equator": 1.0546355157771392e-05, "l1_shell_density": 0.1521491035350607, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 40.614850507586205, "omega_theta_equator": 9.066353524376928e-06, "l1_shell_density": 0.14760535478732686, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 43.14555780616778, "omega_theta_equator": 7.794130525434977e-06, "l1_shell_density": 0.14319887171903384, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 45.833953225007136, "omega_theta_equator": 6.7004954953326e-06, "l1_shell_density": 0.13892528594308612, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 48.6898622952056, "omega_theta_equator": 5.760363638187698e-06, "l1_shell_density": 0.13478039915634998, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 51.7237227757309, "omega_theta_equator": 4.952177335695694e-06, "l1_shell_density": 0.13076017234143472, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 54.94662280127452, "omega_theta_equator": 4.257409298996945e-06, "l1_shell_density": 0.12686071612318375, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 58.37034140709879, "omega_theta_equator": 3.6601359216860663e-06, "l1_shell_density": 0.12307828212161015, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 62.00739157898233, "omega_theta_equator": 3.146670863689243e-06, "l1_shell_density": 0.11940925516682377, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 65.87106598560419, "omega_theta_equator": 2.7052503241145747e-06, "l1_shell_density": 0.11585014626148597, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 69.9754855605077, "omega_theta_equator": 2.3257626819474816e-06, "l1_shell_density": 0.11239758619315501, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 74.33565111120168, "omega_theta_equator": 1.999516227510909e-06, "l1_shell_density": 0.10904831971311847, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 78.96749814402023, "omega_theta_equator": 1.7190396010622077e-06, "l1_shell_density": 0.10579920021031039, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 83.88795510511301, "omega_theta_equator": 1.4779103198892196e-06, "l1_shell_density": 0.10264718481913186, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 89.11500525042712, "omega_theta_equator": 1.2706074305754496e-06, "l1_shell_density": 0.09958932990862294, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 94.66775237080043, "omega_theta_equator": 1.0923848846923454e-06, "l1_shell_density": 0.09662278690782107, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 100.56649061237894, "omega_theta_equator": 9.391627176247777e-07, "l1_shell_density": 0.09374479842839516, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 106.83277864753843, "omega_theta_equator": 8.074335231167975e-07, "l1_shell_density": 0.09095269465100507, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 113.48951846738771, "omega_theta_equator": 6.941820703056568e-07, "l1_shell_density": 0.0882438899464021, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 120.56103908382518, "omega_theta_equator": 5.968162139163077e-07, "l1_shell_density": 0.08561587970619068, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 128.07318544706308, "omega_theta_equator": 5.131075091124686e-07, "l1_shell_density": 0.08306623736152312, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 136.0534129035923, "omega_theta_equator": 4.411401663953286e-07, "l1_shell_density": 0.08059261157085479, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 144.5308875398152, "omega_theta_equator": 3.792671741700397e-07, "l1_shell_density": 0.07819272356035749, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 153.53659277807932, "omega_theta_equator": 3.26072581667703e-07, "l1_shell_density": 0.07586436460268789, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 163.10344261469882, "omega_theta_equator": 2.8033907667425455e-07, "l1_shell_density": 0.07360539362163114, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 173.26640191382762, "omega_theta_equator": 2.4102011428242404e-07, "l1_shell_density": 0.07141373491169373, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 184.06261419682943, "omega_theta_equator": 2.0721595748157968e-07, "l1_shell_density": 0.06928737596306658, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 195.5315373941931, "omega_theta_equator": 1.7815308026138237e-07, "l1_shell_density": 0.06722436538353474, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 207.71508805613468, "omega_theta_equator": 1.5316646111197578e-07, "l1_shell_density": 0.06522281090991433, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 220.65779454894766, "omega_theta_equator": 1.316843611427778e-07, "l1_shell_density": 0.06328087750244957, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 234.40695979700445, "omega_theta_equator": 1.1321523804749846e-07, "l1_shell_density": 0.06139678551636057, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 249.0128341651936, "omega_theta_equator": 9.733649613080454e-08, "l1_shell_density": 0.059568808945367195, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 264.5287991136462, "omega_theta_equator": 8.368481471207037e-08, "l1_shell_density": 0.057795273732583266, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 281.01156229596717, "omega_theta_equator": 7.194783340397604e-08, "l1_shell_density": 0.056074556144650914, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 298.5213648140232, "omega_theta_equator": 6.185700386146325e-08, "l1_shell_density": 0.05440508120541337, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 317.12220138675065, "omega_theta_equator": 5.318144432521984e-08, "l1_shell_density": 0.052785321185787604, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 336.88205423766266, "omega_theta_equator": 4.572265625800614e-08, "l1_shell_density": 0.051213794146821624, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 357.87314155586364, "omega_theta_equator": 3.930998211973334e-08, "l1_shell_density": 0.049689062533193926, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 380.17218143864153, "omega_theta_equator": 3.37967003018347e-08, "l1_shell_density": 0.04820973181466291, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 403.8606722803036, "omega_theta_equator": 2.905666783282466e-08, "l1_shell_density": 0.0467744491731851, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 429.0251906320062, "omega_theta_equator": 2.498143400991188e-08, "l1_shell_density": 0.04538190223360745, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 455.75770762120334, "omega_theta_equator": 2.1477758893850888e-08, "l1_shell_density": 0.04403081783600968, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 484.1559250871613, "omega_theta_equator": 1.8465479873178936e-08, "l1_shell_density": 0.042719960847910875, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 514.3236326610379, "omega_theta_equator": 1.5875677472112493e-08, "l1_shell_density": 0.04144813301469035, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 546.3710870955958, "omega_theta_equator": 1.3649098426308099e-08, "l1_shell_density": 0.040214171846684306, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 580.4154152309039, "omega_theta_equator": 1.1734799939421456e-08, "l1_shell_density": 0.039016949541521226, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 616.5810420687947, "omega_theta_equator": 1.0088984095846199e-08, "l1_shell_density": 0.03785537194035394, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 655.0001455205999, "omega_theta_equator": 8.673995757160146e-09, "l1_shell_density": 0.036728377516721526, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 695.813139490166, "omega_theta_equator": 7.45746101134368e-09, "l1_shell_density": 0.035634936396852675, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 739.1691870577371, "omega_theta_equator": 6.411546460448314e-09, "l1_shell_density": 0.034574049410288146, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 785.2267456402607, "omega_theta_equator": 5.512322397747843e-09, "l1_shell_density": 0.03354474716975485, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 834.1541461205865, "omega_theta_equator": 4.7392153028188084e-09, "l1_shell_density": 0.0325460891792845, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 886.130208062146, "omega_theta_equator": 4.0745371269030045e-09, "l1_shell_density": 0.031577162969615796, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 941.3448932575914, "omega_theta_equator": 3.503080598095069e-09, "l1_shell_density": 0.03063708325996445, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": -0.25, "rho": 1000.0, "omega_theta_equator": 3.011771286598777e-09, "l1_shell_density": 0.02972499114528985, "leading_equatorial_coefficient": 0.09524045390136145 }, { "alpha": 0.0, "rho": 0.02, "omega_theta_equator": 0.00025551103428487506, "l1_shell_density": 1.0087171314019588e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.021246198012280688, "omega_theta_equator": 0.00027142891182276117, "l1_shell_density": 1.209256137906517e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.022570046498851987, "omega_theta_equator": 0.0002883380363853527, "l1_shell_density": 1.449661448090354e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.023976383853049572, "omega_theta_equator": 0.00030630005432716133, "l1_shell_density": 1.7378575900169451e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.025470349948017026, "omega_theta_equator": 0.0003253804296968432, "l1_shell_density": 2.083344054944849e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.02705740492188264, "omega_theta_equator": 0.00034564867745045266, "l1_shell_density": 2.4975082238191906e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.028743349133438824, "omega_theta_equator": 0.00036717861026909954, "l1_shell_density": 2.9940004367356497e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.030534344361257883, "omega_theta_equator": 0.0003900485996446469, "l1_shell_density": 3.589183534906735e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.03243693632372254, "omega_theta_equator": 0.000414341851901945, "l1_shell_density": 4.302671646948967e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.034458078602277446, "omega_theta_equator": 0.00044014669982402846, "l1_shell_density": 5.1579759159786386e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.036605158055335936, "omega_theta_equator": 0.00046755691053586746, "l1_shell_density": 6.1832783658340944e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.03888602181572491, "omega_theta_equator": 0.0004966720102803979, "l1_shell_density": 7.412359296963125e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.04130900597033792, "omega_theta_equator": 0.0005275976266849496, "l1_shell_density": 8.885708620330177e-06, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.0438829660268142, "omega_theta_equator": 0.0005604458490635323, "l1_shell_density": 1.0651857542471554e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.046617309278594025, "omega_theta_equator": 0.000595335607226814, "l1_shell_density": 1.2768974199024894e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.049522029186636916, "omega_theta_equator": 0.0006323930691721602, "l1_shell_density": 1.530677542708711e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.052607741903461534, "omega_theta_equator": 0.0006717520578951775, "l1_shell_density": 1.8348817141849124e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.05588572507299499, "omega_theta_equator": 0.0007135544873947936, "l1_shell_density": 2.1995238065253304e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.059367959048036545, "omega_theta_equator": 0.0007579508177278043, "l1_shell_density": 2.6366046230446417e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.06306717067597775, "omega_theta_equator": 0.0008051005286961138, "l1_shell_density": 3.160505521452666e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.06699687981280626, "omega_theta_equator": 0.0008551726114086455, "l1_shell_density": 3.7884597977777245e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.07117144873539258, "omega_theta_equator": 0.0009083460765360298, "l1_shell_density": 4.5411171154704365e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.07560613463265171, "omega_theta_equator": 0.0009648104775527038, "l1_shell_density": 5.44321924125121e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.08031714536742353, "omega_theta_equator": 0.0010247664466178318, "l1_shell_density": 6.524408896475017e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.08532169871287063, "omega_theta_equator": 0.0010884262399595659, "l1_shell_density": 7.820197755933345e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.09063808527989017, "omega_theta_equator": 0.0011560142886680967, "l1_shell_density": 9.373124649222347e-05, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.09628573536552643, "omega_theta_equator": 0.0012277677496379661, "l1_shell_density": 0.0001123414098830838, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.10228528996670158, "omega_theta_equator": 0.001303937049989417, "l1_shell_density": 0.0001346426752800662, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.10865867621880443, "omega_theta_equator": 0.0013847864165949977, "l1_shell_density": 0.00016136574960220893, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.11542918753485062, "omega_theta_equator": 0.001470594380285926, "l1_shell_density": 0.0001933855077479078, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.12262156873810588, "omega_theta_equator": 0.001561654241847943, "l1_shell_density": 0.00023174926549859824, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.1302621064993142, "omega_theta_equator": 0.0016582744839625907, "l1_shell_density": 0.00027771053659045487, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.13837872540906118, "omega_theta_equator": 0.0017607791097189829, "l1_shell_density": 0.00033276931635417805, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.14700109003639653, "omega_theta_equator": 0.001869507884110682, "l1_shell_density": 0.0003987201248563926, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.15616071334671905, "omega_theta_equator": 0.0019848164499250177, "l1_shell_density": 0.00047770926510135796, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.1658910718751698, "omega_theta_equator": 0.002107076283493255, "l1_shell_density": 0.0005723030109624433, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.17622772807646717, "omega_theta_equator": 0.0022366744487475193, "l1_shell_density": 0.0006855687397051884, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.1872084602983489, "omega_theta_equator": 0.0023740130997533123, "l1_shell_density": 0.0008211713698542554, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.19887340085364533, "omega_theta_equator": 0.0025195086721662907, "l1_shell_density": 0.0009834878610941622, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.2112651826956109, "omega_theta_equator": 0.002673590692693503, "l1_shell_density": 0.0011777429825234535, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.2244290952325802, "omega_theta_equator": 0.0028367001224050108, "l1_shell_density": 0.0014101700612041005, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.23841324985141987, "omega_theta_equator": 0.003009287134418259, "l1_shell_density": 0.0016882009846001, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.25326875575473073, "omega_theta_equator": 0.003191808208846712, "l1_shell_density": 0.0020206903446668045, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.2690499067544481, "omega_theta_equator": 0.003384722407769812, "l1_shell_density": 0.0024181792691863923, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.28581437970453283, "omega_theta_equator": 0.00358848667019431, "l1_shell_density": 0.0028932051708367252, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.3036234452979841, "omega_theta_equator": 0.003803549941471002, "l1_shell_density": 0.0034606643288077905, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.32254219199859213, "omega_theta_equator": 0.004030345923472601, "l1_shell_density": 0.004138234858599642, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.34263976392585715, "omega_theta_equator": 0.004269284201296982, "l1_shell_density": 0.004946868159074216, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.36398961356249343, "omega_theta_equator": 0.004520739469900337, "l1_shell_density": 0.00591135725988652, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.38666977020811294, "omega_theta_equator": 0.004785038550873116, "l1_shell_density": 0.007060990497894026, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.4107631251602319, "omega_theta_equator": 0.005062444857118436, "l1_shell_density": 0.008430298450492889, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.436357734664876, "omega_theta_equator": 0.005353139933842834, "l1_shell_density": 0.010059900807802653, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.4635471417440095, "omega_theta_equator": 0.00565720168144723, "l1_shell_density": 0.011997457557839538, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.49243071807599814, "omega_theta_equator": 0.005974578854420665, "l1_shell_density": 0.0142987250789155, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.5231140271786111, "omega_theta_equator": 0.006305061436773454, "l1_shell_density": 0.01702871196018451, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.5557092102219175, "omega_theta_equator": 0.006648246527702537, "l1_shell_density": 0.020262920957881063, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.5903353958811486, "omega_theta_equator": 0.007003499442566913, "l1_shell_density": 0.02408865166185029, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.6271191357274496, "omega_theta_equator": 0.007369909858556001, "l1_shell_density": 0.028606322288562563, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.6661948667477856, "omega_theta_equator": 0.007746243029932743, "l1_shell_density": 0.03393074753190686, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.7077054026844198, "omega_theta_equator": 0.008130886386470654, "l1_shell_density": 0.04019228156712366, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.7518024559897011, "omega_theta_equator": 0.008521792236268913, "l1_shell_density": 0.04753770020193201, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.7986471923038062, "omega_theta_equator": 0.008916417848719878, "l1_shell_density": 0.0561306532224356, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.8484108194819334, "omega_theta_equator": 0.009311664923749944, "l1_shell_density": 0.06615146729435087, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.901275213323724, "omega_theta_equator": 0.00970382138505096, "l1_shell_density": 0.07779602265551848, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 0.9574335822918177, "omega_theta_equator": 0.010088509583947055, "l1_shell_density": 0.09127336648827897, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.0170911736489596, "omega_theta_equator": 0.010460646364096597, "l1_shell_density": 0.10680166834636198, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.0804660235944377, "omega_theta_equator": 0.01081442198058753, "l1_shell_density": 0.1246020783483147, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.1477897541414472, "omega_theta_equator": 0.01114330650543327, "l1_shell_density": 0.14489003221839414, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.2193084196478075, "omega_theta_equator": 0.011440093928472153, "l1_shell_density": 0.1678635800284777, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.2952834060939176, "omega_theta_equator": 0.011696995425468327, "l1_shell_density": 0.1936884256267971, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.3759923863946373, "omega_theta_equator": 0.011905793842223785, "l1_shell_density": 0.22247958476522917, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.461730335236554, "omega_theta_equator": 0.012058070831360715, "l1_shell_density": 0.2542799374690322, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.5528106071496626, "omega_theta_equator": 0.012145515651463223, "l1_shell_density": 0.2890364945435576, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.6495660817535762, "omega_theta_equator": 0.012160319698890634, "l1_shell_density": 0.3265759316182188, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.7523503803639233, "omega_theta_equator": 0.012095652735075117, "l1_shell_density": 0.36658184233731683, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.8615391584053644, "omega_theta_equator": 0.011946205082089765, "l1_shell_density": 0.40857713988123273, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1.9775314783547346, "omega_theta_equator": 0.011708764910068524, "l1_shell_density": 0.4519159215380947, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 2.100751268232142, "omega_theta_equator": 0.011382782168973463, "l1_shell_density": 0.49578963035075313, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 2.231648870970492, "omega_theta_equator": 0.01097085306125042, "l1_shell_density": 0.5392521318415235, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 2.370702690326086, "omega_theta_equator": 0.010479045095452262, "l1_shell_density": 0.5812669626990924, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 2.518420939345727, "omega_theta_equator": 0.009916978011086357, "l1_shell_density": 0.6207771731291915, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 2.675343497780663, "omega_theta_equator": 0.009297586168899348, "l1_shell_density": 0.6567938216939655, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 2.8420438852357774, "omega_theta_equator": 0.008636518277218397, "l1_shell_density": 0.6884937487329327, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 3.019131357265541, "omega_theta_equator": 0.007951181945626114, "l1_shell_density": 0.7153119073716429, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 3.2072531320774726, "omega_theta_equator": 0.0072595085375815145, "l1_shell_density": 0.7370101035461206, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 3.407096755981268, "omega_theta_equator": 0.0065785849464077015, "l1_shell_density": 0.7537046007633672, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 3.619392616228861, "omega_theta_equator": 0.0059233527490433, "l1_shell_density": 0.7658412136772565, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 3.8449166104292485, "omega_theta_equator": 0.005305589048721655, "l1_shell_density": 0.7741180675207384, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 4.084492982294342, "omega_theta_equator": 0.004733341681407462, "l1_shell_density": 0.7793704034269852, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 4.338997334079825, "omega_theta_equator": 0.00421089625766785, "l1_shell_density": 0.7824436205138818, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 4.609359826730896, "omega_theta_equator": 0.0037392284703990117, "l1_shell_density": 0.7840846863346195, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 4.8965685794288225, "omega_theta_equator": 0.003316784097839208, "l1_shell_density": 0.7848752435443697, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 5.201673280962832, "omega_theta_equator": 0.002940372538069522, "l1_shell_density": 0.7852143798928793, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 5.525789026126301, "omega_theta_equator": 0.002605976592658664, "l1_shell_density": 0.7853420559959526, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 5.8701003911583545, "omega_theta_equator": 0.002309356598797218, "l1_shell_density": 0.7853835529887285, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 6.235865763125831, "omega_theta_equator": 0.00204642042867804, "l1_shell_density": 0.7853949842771822, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 6.6244219390686645, "omega_theta_equator": 0.001813400996468917, "l1_shell_density": 0.7853975986102141, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 7.037189011717457, "omega_theta_equator": 0.001606910394563421, "l1_shell_density": 0.7853980835911589, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 7.4756755596397415, "omega_theta_equator": 0.0014239319711722665, "l1_shell_density": 0.7853981546888391, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 7.941484160783662, "omega_theta_equator": 0.0012617891467317178, "l1_shell_density": 0.7853981626876062, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 8.436317249570015, "omega_theta_equator": 0.0011181094800752206, "l1_shell_density": 0.7853981633558217, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 8.961983338939179, "omega_theta_equator": 0.000990790586265702, "l1_shell_density": 0.7853981633957646, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 9.520403630093115, "omega_theta_equator": 0.0008779694683554724, "l1_shell_density": 0.7853981633974036, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 10.113619034089703, "omega_theta_equator": 0.0007779952676660895, "l1_shell_density": 0.785398163397447, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 10.743797630952042, "omega_theta_equator": 0.0006894051084083168, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 11.413242593553955, "omega_theta_equator": 0.0006109026921529676, "l1_shell_density": 0.7853981633974478, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 12.124400605242156, "omega_theta_equator": 0.0005413393297032349, "l1_shell_density": 0.7853981633974486, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 12.879870801959537, "omega_theta_equator": 0.0004796971328621493, "l1_shell_density": 0.7853981633974485, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 13.682414271551231, "omega_theta_equator": 0.00042507412014995086, "l1_shell_density": 0.7853981633974477, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 14.534964144971639, "omega_theta_equator": 0.00037667101853030893, "l1_shell_density": 0.785398163397448, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 15.440636316273364, "omega_theta_equator": 0.00033377956802124325, "l1_shell_density": 0.7853981633974482, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 16.402740830557796, "omega_theta_equator": 0.00029577215805755785, "l1_shell_density": 0.7853981633974492, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 17.424793981507623, "omega_theta_equator": 0.00026209264395853294, "l1_shell_density": 0.7853981633974485, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 18.510531162715374, "omega_theta_equator": 0.00023224820912253247, "l1_shell_density": 0.7853981633974474, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 19.66392051977716, "omega_theta_equator": 0.00020580215387181033, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 20.889177453046734, "omega_theta_equator": 0.00018236750543006492, "l1_shell_density": 0.7853981633974476, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 22.190780024054988, "omega_theta_equator": 0.00016160135553051815, "l1_shell_density": 0.7853981633974484, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 23.57348532190176, "omega_theta_equator": 0.00014319984279938244, "l1_shell_density": 0.7853981633974474, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 25.04234684943584, "omega_theta_equator": 0.0001268937064942836, "l1_shell_density": 0.785398163397449, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 26.60273299276635, "omega_theta_equator": 0.00011244434653755628, "l1_shell_density": 0.785398163397448, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 28.26034664160732, "omega_theta_equator": 9.96403321927367e-05, "l1_shell_density": 0.7853981633974487, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 30.021246032164015, "omega_theta_equator": 8.829430829733107e-05, "l1_shell_density": 0.7853981633974484, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 31.89186688873764, "omega_theta_equator": 7.824025378221701e-05, "l1_shell_density": 0.7853981633974474, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 33.87904594497087, "omega_theta_equator": 6.933105236287115e-05, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 35.99004593070028, "omega_theta_equator": 6.143633985547862e-05, "l1_shell_density": 0.7853981633974492, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 38.23258211573677, "omega_theta_equator": 5.4440596618711846e-05, "l1_shell_density": 0.7853981633974488, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 40.614850507586205, "omega_theta_equator": 4.824145720876643e-05, "l1_shell_density": 0.7853981633974477, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 43.14555780616778, "omega_theta_equator": 4.2748212513625287e-05, "l1_shell_density": 0.7853981633974488, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 45.833953225007136, "omega_theta_equator": 3.7880482448983564e-05, "l1_shell_density": 0.7853981633974478, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 48.6898622952056, "omega_theta_equator": 3.356703979401232e-05, "l1_shell_density": 0.7853981633974488, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 51.7237227757309, "omega_theta_equator": 2.974476795669839e-05, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 54.94662280127452, "omega_theta_equator": 2.6357737418229377e-05, "l1_shell_density": 0.7853981633974476, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 58.37034140709879, "omega_theta_equator": 2.335638734246299e-05, "l1_shell_density": 0.7853981633974486, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 62.00739157898233, "omega_theta_equator": 2.069680037535678e-05, "l1_shell_density": 0.7853981633974476, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 65.87106598560419, "omega_theta_equator": 1.8340060022835637e-05, "l1_shell_density": 0.7853981633974488, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 69.9754855605077, "omega_theta_equator": 1.625168120390754e-05, "l1_shell_density": 0.785398163397448, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 74.33565111120168, "omega_theta_equator": 1.4401105646578267e-05, "l1_shell_density": 0.7853981633974485, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 78.96749814402023, "omega_theta_equator": 1.276125474292731e-05, "l1_shell_density": 0.7853981633974478, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 83.88795510511301, "omega_theta_equator": 1.1308133320484234e-05, "l1_shell_density": 0.7853981633974484, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 89.11500525042712, "omega_theta_equator": 1.0020478532075174e-05, "l1_shell_density": 0.7853981633974477, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 94.66775237080043, "omega_theta_equator": 8.879448726510018e-06, "l1_shell_density": 0.7853981633974476, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 100.56649061237894, "omega_theta_equator": 7.868347747499489e-06, "l1_shell_density": 0.7853981633974482, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 106.83277864753843, "omega_theta_equator": 6.972380626597033e-06, "l1_shell_density": 0.7853981633974476, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 113.48951846738771, "omega_theta_equator": 6.1784370953349e-06, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 120.56103908382518, "omega_theta_equator": 5.474899748787991e-06, "l1_shell_density": 0.7853981633974474, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 128.07318544706308, "omega_theta_equator": 4.851474053512891e-06, "l1_shell_density": 0.7853981633974486, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 136.0534129035923, "omega_theta_equator": 4.299037712447476e-06, "l1_shell_density": 0.7853981633974477, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 144.5308875398152, "omega_theta_equator": 3.8095071825981e-06, "l1_shell_density": 0.7853981633974488, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 153.53659277807932, "omega_theta_equator": 3.3757193923298835e-06, "l1_shell_density": 0.7853981633974481, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 163.10344261469882, "omega_theta_equator": 2.9913269274846985e-06, "l1_shell_density": 0.7853981633974474, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 173.26640191382762, "omega_theta_equator": 2.650705152633908e-06, "l1_shell_density": 0.7853981633974467, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 184.06261419682943, "omega_theta_equator": 2.348869908414896e-06, "l1_shell_density": 0.7853981633974495, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 195.5315373941931, "omega_theta_equator": 2.0814045806546038e-06, "l1_shell_density": 0.7853981633974488, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 207.71508805613468, "omega_theta_equator": 1.8443954741169619e-06, "l1_shell_density": 0.7853981633974477, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 220.65779454894766, "omega_theta_equator": 1.6343745452281418e-06, "l1_shell_density": 0.7853981633974466, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 234.40695979700445, "omega_theta_equator": 1.448268655814494e-06, "l1_shell_density": 0.7853981633974494, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 249.0128341651936, "omega_theta_equator": 1.283354605306781e-06, "l1_shell_density": 0.7853981633974488, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 264.5287991136462, "omega_theta_equator": 1.1372192834180057e-06, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 281.01156229596717, "omega_theta_equator": 1.0077243602274808e-06, "l1_shell_density": 0.7853981633974474, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 298.5213648140232, "omega_theta_equator": 8.929749969976737e-07, "l1_shell_density": 0.7853981633974498, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 317.12220138675065, "omega_theta_equator": 7.912921198838421e-07, "l1_shell_density": 0.7853981633974491, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 336.88205423766266, "omega_theta_equator": 7.011878508306049e-07, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 357.87314155586364, "omega_theta_equator": 6.213437361471698e-07, "l1_shell_density": 0.7853981633974475, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 380.17218143864153, "omega_theta_equator": 5.505914541902022e-07, "l1_shell_density": 0.7853981633974468, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 403.8606722803036, "omega_theta_equator": 4.878957198588053e-07, "l1_shell_density": 0.7853981633974497, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 429.0251906320062, "omega_theta_equator": 4.3233913575111314e-07, "l1_shell_density": 0.7853981633974487, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 455.75770762120334, "omega_theta_equator": 3.831087683165419e-07, "l1_shell_density": 0.7853981633974481, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 484.1559250871613, "omega_theta_equator": 3.394842525787681e-07, "l1_shell_density": 0.7853981633974472, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 514.3236326610379, "omega_theta_equator": 3.008272513714457e-07, "l1_shell_density": 0.7853981633974468, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 546.3710870955958, "omega_theta_equator": 2.6657211484854355e-07, "l1_shell_density": 0.7853981633974492, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 580.4154152309039, "omega_theta_equator": 2.3621760359430597e-07, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 616.5810420687947, "omega_theta_equator": 2.0931955422096368e-07, "l1_shell_density": 0.7853981633974476, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 655.0001455205999, "omega_theta_equator": 1.8548438013329813e-07, "l1_shell_density": 0.7853981633974503, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 695.813139490166, "omega_theta_equator": 1.643633123597975e-07, "l1_shell_density": 0.7853981633974494, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 739.1691870577371, "omega_theta_equator": 1.4564729617917073e-07, "l1_shell_density": 0.785398163397449, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 785.2267456402607, "omega_theta_equator": 1.290624688669374e-07, "l1_shell_density": 0.7853981633974478, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 834.1541461205865, "omega_theta_equator": 1.1436615239007339e-07, "l1_shell_density": 0.7853981633974474, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 886.130208062146, "omega_theta_equator": 1.013433024126828e-07, "l1_shell_density": 0.78539816339745, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 941.3448932575914, "omega_theta_equator": 8.980336165265551e-08, "l1_shell_density": 0.7853981633974494, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.0, "rho": 1000.0, "omega_theta_equator": 7.957747154594766e-08, "l1_shell_density": 0.7853981633974483, "leading_equatorial_coefficient": 0.07957747154594766 }, { "alpha": 0.125, "rho": 0.02, "omega_theta_equator": 0.00024511202171033125, "l1_shell_density": 9.676634752928784e-07, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.021246198012280688, "omega_theta_equator": 0.00026038229848168265, "l1_shell_density": 1.1600418338883e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.022570046498851987, "omega_theta_equator": 0.00027660354203891456, "l1_shell_density": 1.3906645697037266e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.023976383853049572, "omega_theta_equator": 0.0002938349031314058, "l1_shell_density": 1.6671339407383378e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.025470349948017026, "omega_theta_equator": 0.00031213919753442736, "l1_shell_density": 1.9985631652908045e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.02705740492188264, "omega_theta_equator": 0.00033158313031247564, "l1_shell_density": 2.395876648345711e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.028743349133438824, "omega_theta_equator": 0.0003522375332411155, "l1_shell_density": 2.8721698346907743e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.030534344361257883, "omega_theta_equator": 0.00037417761604536105, "l1_shell_density": 3.443140521115047e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.03243693632372254, "omega_theta_equator": 0.0003974832321215273, "l1_shell_density": 4.127605804570431e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.034458078602277446, "omega_theta_equator": 0.0004222391594125863, "l1_shell_density": 4.948121651040242e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.036605158055335936, "omega_theta_equator": 0.00044853539710273797, "l1_shell_density": 5.931725432177969e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.03888602181572491, "omega_theta_equator": 0.000476467478783226, "l1_shell_density": 7.11082580245576e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.04130900597033792, "omega_theta_equator": 0.0005061368027159825, "l1_shell_density": 8.524269108673103e-06, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.0438829660268142, "omega_theta_equator": 0.0005376509797816068, "l1_shell_density": 1.0218617291524836e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.046617309278594025, "omega_theta_equator": 0.0005711241996400417, "l1_shell_density": 1.2249679140834653e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.049522029186636916, "omega_theta_equator": 0.0006066776155518342, "l1_shell_density": 1.4684345023023266e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.052607741903461534, "omega_theta_equator": 0.0006444397482001299, "l1_shell_density": 1.7602785074770315e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.05588572507299499, "omega_theta_equator": 0.0006845469087124001, "l1_shell_density": 2.110108266424774e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.059367959048036545, "omega_theta_equator": 0.0007271436408991284, "l1_shell_density": 2.529438903383646e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.06306717067597775, "omega_theta_equator": 0.000772383182495569, "l1_shell_density": 3.032070189927589e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.06699687981280626, "omega_theta_equator": 0.0008204279449017637, "l1_shell_density": 3.6345390916039195e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.07117144873539258, "omega_theta_equator": 0.0008714500105528692, "l1_shell_density": 4.356661695826191e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.07560613463265171, "omega_theta_equator": 0.0009256316466015144, "l1_shell_density": 5.222182082716007e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.08031714536742353, "omega_theta_equator": 0.0009831658330387264, "l1_shell_density": 6.259549118688444e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.08532169871287063, "omega_theta_equator": 0.0010442568026987245, "l1_shell_density": 7.502846224458964e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.09063808527989017, "omega_theta_equator": 0.0011091205897604962, "l1_shell_density": 8.99290401576421e-05, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.09628573536552643, "omega_theta_equator": 0.0011779855823457626, "l1_shell_density": 0.00010778631478281684, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.10228528996670158, "omega_theta_equator": 0.0012510930735834336, "l1_shell_density": 0.0001291860818380775, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.10865867621880443, "omega_theta_equator": 0.0013286978040232512, "l1_shell_density": 0.00015482988175766262, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.11542918753485062, "omega_theta_equator": 0.0014110684864871192, "l1_shell_density": 0.00018555775772332786, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.12262156873810588, "omega_theta_equator": 0.0014984883022877416, "l1_shell_density": 0.00022237544912789942, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.1302621064993142, "omega_theta_equator": 0.0015912553551534498, "l1_shell_density": 0.00026648687102518814, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.13837872540906118, "omega_theta_equator": 0.0016896830660967487, "l1_shell_density": 0.0003193328882973768, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.14700109003639653, "omega_theta_equator": 0.0017941004887608205, "l1_shell_density": 0.0003826375790995478, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.15616071334671905, "omega_theta_equator": 0.0019048525203678973, "l1_shell_density": 0.00045846339980998963, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.1658910718751698, "omega_theta_equator": 0.002022299978155099, "l1_shell_density": 0.000549276917800376, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.17622772807646717, "omega_theta_equator": 0.0021468195049798447, "l1_shell_density": 0.0006580270737333789, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.1872084602983489, "omega_theta_equator": 0.002278803260453411, "l1_shell_density": 0.0007882382768693735, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.19887340085364533, "omega_theta_equator": 0.002418658345345736, "l1_shell_density": 0.0009441210300484431, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.2112651826956109, "omega_theta_equator": 0.0025668058969082336, "l1_shell_density": 0.0011307032302457407, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.2244290952325802, "omega_theta_equator": 0.0027236797809820227, "l1_shell_density": 0.0013539857995957076, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.23841324985141987, "omega_theta_equator": 0.0028897247930854313, "l1_shell_density": 0.0016211268725784857, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.25326875575473073, "omega_theta_equator": 0.0030653942648953317, "l1_shell_density": 0.0019406593969219512, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.2690499067544481, "omega_theta_equator": 0.0032511469544537564, "l1_shell_density": 0.002322747693663515, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.28581437970453283, "omega_theta_equator": 0.0034474430778787413, "l1_shell_density": 0.0027794892543223427, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.3036234452979841, "omega_theta_equator": 0.003654739317233607, "l1_shell_density": 0.0033252688096295133, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.32254219199859213, "omega_theta_equator": 0.00387348261351151, "l1_shell_density": 0.003977172451143311, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.34263976392585715, "omega_theta_equator": 0.004104102525582756, "l1_shell_density": 0.004755470272795063, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.36398961356249343, "omega_theta_equator": 0.004347001905828963, "l1_shell_density": 0.005684176548074574, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.38666977020811294, "omega_theta_equator": 0.004602545611791328, "l1_shell_density": 0.006791696761785226, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.4107631251602319, "omega_theta_equator": 0.004871046941710038, "l1_shell_density": 0.008111570722046397, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.436357734664876, "omega_theta_equator": 0.005152751452204543, "l1_shell_density": 0.00968332028249958, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.4635471417440095, "omega_theta_equator": 0.005447817791299777, "l1_shell_density": 0.011553408631039255, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.49243071807599814, "omega_theta_equator": 0.00575629516346137, "l1_shell_density": 0.013776315288654133, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.5231140271786111, "omega_theta_equator": 0.006078097040683611, "l1_shell_density": 0.016415726446087922, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.5557092102219175, "omega_theta_equator": 0.0064129707522885444, "l1_shell_density": 0.019545833464110672, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.5903353958811486, "omega_theta_equator": 0.006760462635581046, "l1_shell_density": 0.023252722562047985, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.6271191357274496, "omega_theta_equator": 0.007119878522275501, "l1_shell_density": 0.027635825074193467, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.6661948667477856, "omega_theta_equator": 0.007490239487250175, "l1_shell_density": 0.03280937920658189, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.7077054026844198, "omega_theta_equator": 0.007870233015708565, "l1_shell_density": 0.03890382995543693, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.7518024559897011, "omega_theta_equator": 0.00825816007461706, "l1_shell_density": 0.04606706276831157, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.7986471923038062, "omega_theta_equator": 0.008651879029500395, "l1_shell_density": 0.054465327866736475, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.8484108194819334, "omega_theta_equator": 0.009048747954739743, "l1_shell_density": 0.06428366562633252, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.901275213323724, "omega_theta_equator": 0.009445567669285601, "l1_shell_density": 0.0757255896657373, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 0.9574335822918177, "omega_theta_equator": 0.009838528808638563, "l1_shell_density": 0.08901172548671199, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.0170911736489596, "omega_theta_equator": 0.010223167422702947, "l1_shell_density": 0.10437704311239729, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.0804660235944377, "omega_theta_equator": 0.010594334947694104, "l1_shell_density": 0.1220662699837751, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.1477897541414472, "omega_theta_equator": 0.010946189879404176, "l1_shell_density": 0.1423270376276763, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.2193084196478075, "omega_theta_equator": 0.011272219957726658, "l1_shell_density": 0.16540032003261348, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.2952834060939176, "omega_theta_equator": 0.011565304962258539, "l1_shell_density": 0.19150778713277578, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.3759923863946373, "omega_theta_equator": 0.011817831019819055, "l1_shell_density": 0.2208358529433344, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.461730335236554, "omega_theta_equator": 0.012021867225769964, "l1_shell_density": 0.25351647781661196, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.5528106071496626, "omega_theta_equator": 0.012169413857630745, "l1_shell_density": 0.28960521916050774, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.6495660817535762, "omega_theta_equator": 0.012252727906225638, "l1_shell_density": 0.3290576341677292, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.7523503803639233, "omega_theta_equator": 0.012264725462385924, "l1_shell_density": 0.3717059140368013, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.8615391584053644, "omega_theta_equator": 0.012199451225244578, "l1_shell_density": 0.4172385167908987, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1.9775314783547346, "omega_theta_equator": 0.012052592978544623, "l1_shell_density": 0.4651864397874127, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 2.100751268232142, "omega_theta_equator": 0.011822003949292169, "l1_shell_density": 0.514920419368202, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 2.231648870970492, "omega_theta_equator": 0.011508180189717316, "l1_shell_density": 0.565663459921879, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 2.370702690326086, "omega_theta_equator": 0.011114626473210284, "l1_shell_density": 0.6165223178991424, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 2.518420939345727, "omega_theta_equator": 0.010648036919316685, "l1_shell_density": 0.6665395698930844, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 2.675343497780663, "omega_theta_equator": 0.010118220696157901, "l1_shell_density": 0.7147645334013862, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 2.8420438852357774, "omega_theta_equator": 0.00953772329123827, "l1_shell_density": 0.7603368223608965, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 3.019131357265541, "omega_theta_equator": 0.00892113219796876, "l1_shell_density": 0.80257150849805, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 3.2072531320774726, "omega_theta_equator": 0.008284109889810704, "l1_shell_density": 0.8410311326268995, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 3.407096755981268, "omega_theta_equator": 0.007642257517059378, "l1_shell_density": 0.8755689403952115, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 3.619392616228861, "omega_theta_equator": 0.007009964234903512, "l1_shell_density": 0.9063312189806277, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 3.8449166104292485, "omega_theta_equator": 0.006399420690182494, "l1_shell_density": 0.9337148302373536, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 4.084492982294342, "omega_theta_equator": 0.005819955957455128, "l1_shell_density": 0.9582873428102777, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 4.338997334079825, "omega_theta_equator": 0.005277792363134957, "l1_shell_density": 0.9806878897603009, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 4.609359826730896, "omega_theta_equator": 0.004776217282141345, "l1_shell_density": 1.0015324977278433, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 4.8965685794288225, "omega_theta_equator": 0.004316075842995693, "l1_shell_density": 1.0213450675412155, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 5.201673280962832, "omega_theta_equator": 0.0038964277756206546, "l1_shell_density": 1.0405249947137905, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 5.525789026126301, "omega_theta_equator": 0.0035152060535186638, "l1_shell_density": 1.059349173395035, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 5.8701003911583545, "omega_theta_equator": 0.00316975994435364, "l1_shell_density": 1.0779960654471512, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 6.235865763125831, "omega_theta_equator": 0.0028572336712881247, "l1_shell_density": 1.0965767165387432, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 6.6244219390686645, "omega_theta_equator": 0.0025747915565979443, "l1_shell_density": 1.1151615717712786, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 7.037189011717457, "omega_theta_equator": 0.002319731667688666, "l1_shell_density": 1.1337986314684299, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 7.4756755596397415, "omega_theta_equator": 0.002089532958624316, "l1_shell_density": 1.1525236900987506, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 7.941484160783662, "omega_theta_equator": 0.0018818686756044035, "l1_shell_density": 1.1713654409434493, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 8.436317249570015, "omega_theta_equator": 0.0016946045710890326, "l1_shell_density": 1.1903479412929827, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 8.961983338939179, "omega_theta_equator": 0.001525790676287695, "l1_shell_density": 1.209491906255731, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 9.520403630093115, "omega_theta_equator": 0.0013736503814495997, "l1_shell_density": 1.22881549487305, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 10.113619034089703, "omega_theta_equator": 0.0012365684687653273, "l1_shell_density": 1.2483348480987335, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 10.743797630952042, "omega_theta_equator": 0.0011130789104170137, "l1_shell_density": 1.2680644824003589, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 11.413242593553955, "omega_theta_equator": 0.001001852880533773, "l1_shell_density": 1.2880175885174245, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 12.124400605242156, "omega_theta_equator": 0.0009016872396583412, "l1_shell_density": 1.30820626385082, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 12.879870801959537, "omega_theta_equator": 0.0008114936375005769, "l1_shell_density": 1.3286416966866095, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 13.682414271551231, "omega_theta_equator": 0.0007302883088772895, "l1_shell_density": 1.3493343145438197, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 14.534964144971639, "omega_theta_equator": 0.0006571825922522144, "l1_shell_density": 1.3702939052374452, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 15.440636316273364, "omega_theta_equator": 0.0005913741709824584, "l1_shell_density": 1.3915297168242207, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 16.402740830557796, "omega_theta_equator": 0.000532139018679612, "l1_shell_density": 1.413050540956448, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 17.424793981507623, "omega_theta_equator": 0.00047882401848198264, "l1_shell_density": 1.4348647830262444, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 18.510531162715374, "omega_theta_equator": 0.00043084021920853694, "l1_shell_density": 1.4569805216694314, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 19.66392051977716, "omega_theta_equator": 0.00038765668778789473, "l1_shell_density": 1.4794055596084532, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 20.889177453046734, "omega_theta_equator": 0.0003487949159811831, "l1_shell_density": 1.5021474673789463, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 22.190780024054988, "omega_theta_equator": 0.00031382373952434895, "l1_shell_density": 1.5252136211592373, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 23.57348532190176, "omega_theta_equator": 0.0002823547289018039, "l1_shell_density": 1.5486112356753041, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 25.04234684943584, "omega_theta_equator": 0.00025403801267732165, "l1_shell_density": 1.572347392964634, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 26.60273299276635, "omega_theta_equator": 0.00022855849640304193, "l1_shell_density": 1.596429067635476, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 28.26034664160732, "omega_theta_equator": 0.00020563244243018762, "l1_shell_density": 1.6208631491432721, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 30.021246032164015, "omega_theta_equator": 0.00018500437833460286, "l1_shell_density": 1.6456564615148122, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 31.89186688873764, "omega_theta_equator": 0.00016644430406327846, "l1_shell_density": 1.6708157808784778, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 33.87904594497087, "omega_theta_equator": 0.00014974517024783315, "l1_shell_density": 1.6963478511004084, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 35.99004593070028, "omega_theta_equator": 0.00013472060238026414, "l1_shell_density": 1.7222593977792422, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 38.23258211573677, "omega_theta_equator": 0.00012120284768176623, "l1_shell_density": 1.7485571408135747, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 40.614850507586205, "omega_theta_equator": 0.00010904092350350595, "l1_shell_density": 1.775247805724504, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 43.14555780616778, "omega_theta_equator": 9.809894797261796e-05, "l1_shell_density": 1.8023381338894267, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 45.833953225007136, "omega_theta_equator": 8.82546353359646e-05, "l1_shell_density": 1.829834891821395, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 48.6898622952056, "omega_theta_equator": 7.939794006042441e-05, "l1_shell_density": 1.8577448796101956, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 51.7237227757309, "omega_theta_equator": 7.142983522610354e-05, "l1_shell_density": 1.8860749386256486, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 54.94662280127452, "omega_theta_equator": 6.426121210383543e-05, "l1_shell_density": 1.91483195857092, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 58.37034140709879, "omega_theta_equator": 5.7811889047488385e-05, "l1_shell_density": 1.9440228839622569, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 62.00739157898233, "omega_theta_equator": 5.2009718962337544e-05, "l1_shell_density": 1.9736547201022685, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 65.87106598560419, "omega_theta_equator": 4.678978564056149e-05, "l1_shell_density": 2.0037345386056953, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 69.9754855605077, "omega_theta_equator": 4.209368019132593e-05, "l1_shell_density": 2.034269482529471, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 74.33565111120168, "omega_theta_equator": 3.7868849643199754e-05, "l1_shell_density": 2.0652667711530883, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 78.96749814402023, "omega_theta_equator": 3.406801056781049e-05, "l1_shell_density": 2.0967337044496155, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 83.88795510511301, "omega_theta_equator": 3.064862127236527e-05, "l1_shell_density": 2.1286776672835397, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 89.11500525042712, "omega_theta_equator": 2.7572406741144525e-05, "l1_shell_density": 2.16110613336723, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 94.66775237080043, "omega_theta_equator": 2.4804931078204e-05, "l1_shell_density": 2.194026669004575, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 100.56649061237894, "omega_theta_equator": 2.2315212720674817e-05, "l1_shell_density": 2.22744693664704, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 106.83277864753843, "omega_theta_equator": 2.0075378159267413e-05, "l1_shell_density": 2.26137469828483, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 113.48951846738771, "omega_theta_equator": 1.80603503244607e-05, "l1_shell_density": 2.2958178186933655, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 120.56103908382518, "omega_theta_equator": 1.6247568177623733e-05, "l1_shell_density": 2.330784268553123, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 128.07318544706308, "omega_theta_equator": 1.4616734389853387e-05, "l1_shell_density": 2.3662821274591144, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 136.0534129035923, "omega_theta_equator": 1.314958830114594e-05, "l1_shell_density": 2.402319586834461, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 144.5308875398152, "omega_theta_equator": 1.182970163187961e-05, "l1_shell_density": 2.4389049527612467, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 153.53659277807932, "omega_theta_equator": 1.0642294670398975e-05, "l1_shell_density": 2.476046648740227, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 163.10344261469882, "omega_theta_equator": 9.57407088742644e-06, "l1_shell_density": 2.513753218390122, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 173.26640191382762, "omega_theta_equator": 8.6130681324932e-06, "l1_shell_density": 2.55203332809589, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 184.06261419682943, "omega_theta_equator": 7.748524751779465e-06, "l1_shell_density": 2.5908957696146353, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 195.5315373941931, "omega_theta_equator": 6.970759132657869e-06, "l1_shell_density": 2.6303494626468282, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 207.71508805613468, "omega_theta_equator": 6.271061329647597e-06, "l1_shell_density": 2.670403457380011, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 220.65779454894766, "omega_theta_equator": 5.641595561025417e-06, "l1_shell_density": 2.711066937011089, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 234.40695979700445, "omega_theta_equator": 5.075312486478222e-06, "l1_shell_density": 2.752349220253176, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 249.0128341651936, "omega_theta_equator": 4.565870285238472e-06, "l1_shell_density": 2.794259763832036, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 264.5287991136462, "omega_theta_equator": 4.107563652319102e-06, "l1_shell_density": 2.8368081649770405, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 281.01156229596717, "omega_theta_equator": 3.695259918835352e-06, "l1_shell_density": 2.8800041639107943, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 298.5213648140232, "omega_theta_equator": 3.3243415819424496e-06, "l1_shell_density": 2.9238576463414403, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 317.12220138675065, "omega_theta_equator": 2.9906546015080868e-06, "l1_shell_density": 2.9683786459612183, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 336.88205423766266, "omega_theta_equator": 2.6904618850675687e-06, "l1_shell_density": 3.0135773469546185, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 357.87314155586364, "omega_theta_equator": 2.420401440592445e-06, "l1_shell_density": 3.059464086519063, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 380.17218143864153, "omega_theta_equator": 2.1774487287825405e-06, "l1_shell_density": 3.1060493574009147, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 403.8606722803036, "omega_theta_equator": 1.9588827935455224e-06, "l1_shell_density": 3.153343810449402, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 429.0251906320062, "omega_theta_equator": 1.7622557915801177e-06, "l1_shell_density": 3.201358257190757, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 455.75770762120334, "omega_theta_equator": 1.585365579997735e-06, "l1_shell_density": 3.2501036724248427, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 484.1559250871613, "omega_theta_equator": 1.4262310551265769e-06, "l1_shell_density": 3.2995911968462046, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 514.3236326610379, "omega_theta_equator": 1.28306996642306e-06, "l1_shell_density": 3.3498321396914084, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 546.3710870955958, "omega_theta_equator": 1.1542789571105523e-06, "l1_shell_density": 3.4008379814146337, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 580.4154152309039, "omega_theta_equator": 1.0384156080839551e-06, "l1_shell_density": 3.452620376392821, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 616.5810420687947, "omega_theta_equator": 9.341822840388185e-07, "l1_shell_density": 3.505191155662413, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 655.0001455205999, "omega_theta_equator": 8.40411600955042e-07, "l1_shell_density": 3.5585623296886304, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 695.813139490166, "omega_theta_equator": 7.56053352214118e-07, "l1_shell_density": 3.6127460911690332, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 739.1691870577371, "omega_theta_equator": 6.801627469568545e-07, "l1_shell_density": 3.667754817872644, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 785.2267456402607, "omega_theta_equator": 6.118898289789497e-07, "l1_shell_density": 3.7236010755157456, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 834.1541461205865, "omega_theta_equator": 5.504699576783272e-07, "l1_shell_density": 3.780297620675698, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 886.130208062146, "omega_theta_equator": 4.952152444588076e-07, "l1_shell_density": 3.8378574037438513, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 941.3448932575914, "omega_theta_equator": 4.4550684869232315e-07, "l1_shell_density": 3.896293571918745, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.125, "rho": 1000.0, "omega_theta_equator": 4.0078804696610554e-07, "l1_shell_density": 3.955619472240684, "leading_equatorial_coefficient": 0.07127134747038963 }, { "alpha": 0.2, "rho": 0.02, "omega_theta_equator": 0.00024094036715345188, "l1_shell_density": 9.511944432231179e-07, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.021246198012280688, "omega_theta_equator": 0.00025595089424566234, "l1_shell_density": 1.1402992694873062e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.022570046498851987, "omega_theta_equator": 0.00027189624006394457, "l1_shell_density": 1.3669979238349394e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.023976383853049572, "omega_theta_equator": 0.00028883455651198707, "l1_shell_density": 1.6387634256094352e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.025470349948017026, "omega_theta_equator": 0.00030682759973987107, "l1_shell_density": 1.9645540956677265e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.02705740492188264, "omega_theta_equator": 0.0003259409509100298, "l1_shell_density": 2.355108694127539e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.028743349133438824, "omega_theta_equator": 0.00034624424996134665, "l1_shell_density": 2.8233001776485035e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.030534344361257883, "omega_theta_equator": 0.00036781144303084715, "l1_shell_density": 3.384559709942086e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.03243693632372254, "omega_theta_equator": 0.00039072104420369904, "l1_shell_density": 4.057384864803366e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.034458078602277446, "omega_theta_equator": 0.00041505641226826983, "l1_shell_density": 4.86394872234224e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.036605158055335936, "omega_theta_equator": 0.000440906043152347, "l1_shell_density": 5.830829865961919e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.03888602181572491, "omega_theta_equator": 0.00046836387870746065, "l1_shell_density": 6.989887247197613e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.04130900597033792, "omega_theta_equator": 0.0004975296324883909, "l1_shell_density": 8.379308625873908e-06, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.0438829660268142, "omega_theta_equator": 0.0005285091331417004, "l1_shell_density": 1.0044866967124867e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.046617309278594025, "omega_theta_equator": 0.0005614146859673548, "l1_shell_density": 1.2041425967218611e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.049522029186636916, "omega_theta_equator": 0.0005963654531472013, "l1_shell_density": 1.443474400462185e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.052607741903461534, "omega_theta_equator": 0.0006334878530387179, "l1_shell_density": 1.73036355309593e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.05588572507299499, "omega_theta_equator": 0.0006729159788063245, "l1_shell_density": 2.0742560537733714e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.059367959048036545, "omega_theta_equator": 0.0007147920364989312, "l1_shell_density": 2.4864726626964118e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.06306717067597775, "omega_theta_equator": 0.0007592668024732373, "l1_shell_density": 2.9805804814942988e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.06699687981280626, "omega_theta_equator": 0.0008065000997978643, "l1_shell_density": 3.57283800279229e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.07117144873539258, "omega_theta_equator": 0.0008566612929421026, "l1_shell_density": 4.282728092332009e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.07560613463265171, "omega_theta_equator": 0.0009099297996410882, "l1_shell_density": 5.1335961920289884e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.08031714536742353, "omega_theta_equator": 0.0009664956183200133, "l1_shell_density": 6.15341440128441e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.08532169871287063, "omega_theta_equator": 0.0010265598688339148, "l1_shell_density": 7.375696108616823e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.09063808527989017, "omega_theta_equator": 0.0010903353435132263, "l1_shell_density": 8.840590626242993e-05, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.09628573536552643, "omega_theta_equator": 0.0011580470645709319, "l1_shell_density": 0.00010596192967540226, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.10228528996670158, "omega_theta_equator": 0.0012299328427918638, "l1_shell_density": 0.0001270011066635906, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.10865867621880443, "omega_theta_equator": 0.001306243831049696, "l1_shell_density": 0.00015221337560407492, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.11542918753485062, "omega_theta_equator": 0.0013872450645365795, "l1_shell_density": 0.00018242493971996923, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.12262156873810588, "omega_theta_equator": 0.0014732159775903823, "l1_shell_density": 0.00021862503976767859, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.1302621064993142, "omega_theta_equator": 0.0015644508846020062, "l1_shell_density": 0.000261997937515172, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.13837872540906118, "omega_theta_equator": 0.0016612594096066537, "l1_shell_density": 0.0003139611067455134, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.14700109003639653, "omega_theta_equator": 0.0017639668457225983, "l1_shell_density": 0.0003762108129881584, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.15616071334671905, "omega_theta_equator": 0.0018729144215000988, "l1_shell_density": 0.00045077647957137166, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.1658910718751698, "omega_theta_equator": 0.0019884594463679887, "l1_shell_density": 0.0005400854906147282, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.17622772807646717, "omega_theta_equator": 0.002110975301586524, "l1_shell_density": 0.0006470403763354381, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.1872084602983489, "omega_theta_equator": 0.002240851236286076, "l1_shell_density": 0.0007751106678947345, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.19887340085364533, "omega_theta_equator": 0.00237849192012866, "l1_shell_density": 0.0009284421034144753, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.2112651826956109, "omega_theta_equator": 0.0025243166946932244, "l1_shell_density": 0.0011119863189853515, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.2244290952325802, "omega_theta_equator": 0.002678758454661865, "l1_shell_density": 0.001331654673021581, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.23841324985141987, "omega_theta_equator": 0.002842262077068066, "l1_shell_density": 0.0015945004323841036, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.25326875575473073, "omega_theta_equator": 0.003015282302052515, "l1_shell_density": 0.0019089341951419327, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.2690499067544481, "omega_theta_equator": 0.0031982809515578516, "l1_shell_density": 0.0022849781347909284, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.28581437970453283, "omega_theta_equator": 0.003391723353008471, "l1_shell_density": 0.002734565415688288, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.3036234452979841, "omega_theta_equator": 0.0035960738131437337, "l1_shell_density": 0.003271891932643685, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.32254219199859213, "omega_theta_equator": 0.003811789962769866, "l1_shell_density": 0.003913828340571652, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.34263976392585715, "omega_theta_equator": 0.00403931576637314, "l1_shell_density": 0.004680401118072055, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.36398961356249343, "omega_theta_equator": 0.0042790729616091015, "l1_shell_density": 0.005595352084677803, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.38666977020811294, "omega_theta_equator": 0.004531450663265879, "l1_shell_density": 0.00668678626824388, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.4107631251602319, "omega_theta_equator": 0.004796792835436283, "l1_shell_density": 0.00798791815994843, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.436357734664876, "omega_theta_equator": 0.005075383305951793, "l1_shell_density": 0.009537926011734178, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.4635471417440095, "omega_theta_equator": 0.005367427971051707, "l1_shell_density": 0.01138292267158132, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.49243071807599814, "omega_theta_equator": 0.005673033819248477, "l1_shell_density": 0.013577049181433836, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.5231140271786111, "omega_theta_equator": 0.00599218439622899, "l1_shell_density": 0.01618369354826034, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.5557092102219175, "omega_theta_equator": 0.006324711343944015, "l1_shell_density": 0.01927683119296707, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.5903353958811486, "omega_theta_equator": 0.006670261685456968, "l1_shell_density": 0.02294247490872477, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.6271191357274496, "omega_theta_equator": 0.007028260603875146, "l1_shell_density": 0.027280209910444192, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.6661948667477856, "omega_theta_equator": 0.007397869592952396, "l1_shell_density": 0.03240477279921048, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.7077054026844198, "omega_theta_equator": 0.007777940056142683, "l1_shell_density": 0.038447610984808166, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.7518024559897011, "omega_theta_equator": 0.008166962720667335, "l1_shell_density": 0.04555833029149521, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.7986471923038062, "omega_theta_equator": 0.008563013637018148, "l1_shell_density": 0.053905902252826654, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.8484108194819334, "omega_theta_equator": 0.00896369807733798, "l1_shell_density": 0.06367945851306094, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.901275213323724, "omega_theta_equator": 0.009366094352589165, "l1_shell_density": 0.07508844810048242, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 0.9574335822918177, "omega_theta_equator": 0.009766700457707186, "l1_shell_density": 0.08836187573990298, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.0170911736489596, "omega_theta_equator": 0.010161387534016878, "l1_shell_density": 0.10374627949108119, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.0804660235944377, "omega_theta_equator": 0.010545365396137311, "l1_shell_density": 0.12150205047109894, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.1477897541414472, "omega_theta_equator": 0.010913166759553559, "l1_shell_density": 0.14189765691408154, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.2193084196478075, "omega_theta_equator": 0.011258658227470365, "l1_shell_density": 0.165201325111205, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.2952834060939176, "omega_theta_equator": 0.01157508738377774, "l1_shell_density": 0.1916697724763578, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.3759923863946373, "omega_theta_equator": 0.011855176235121062, "l1_shell_density": 0.22153371048256815, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.461730335236554, "omega_theta_equator": 0.0120912713859181, "l1_shell_density": 0.2549800689456887, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.5528106071496626, "omega_theta_equator": 0.012275560244934078, "l1_shell_density": 0.29213126915089427, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.6495660817535762, "omega_theta_equator": 0.012400359696474109, "l1_shell_density": 0.33302241392933846, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.7523503803639233, "omega_theta_equator": 0.012458478452721997, "l1_shell_density": 0.37757796821291034, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.8615391584053644, "omega_theta_equator": 0.01244364627757808, "l1_shell_density": 0.42559033357036724, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1.9775314783547346, "omega_theta_equator": 0.012350992293100247, "l1_shell_density": 0.4767035726583426, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 2.100751268232142, "omega_theta_equator": 0.012177541094183099, "l1_shell_density": 0.5304062318018185, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 2.231648870970492, "omega_theta_equator": 0.011922680752603342, "l1_shell_density": 0.5860374737691053, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 2.370702690326086, "omega_theta_equator": 0.011588543490508795, "l1_shell_density": 0.6428102384784773, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 2.518420939345727, "omega_theta_equator": 0.011180231547709614, "l1_shell_density": 0.6998535771036452, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 2.675343497780663, "omega_theta_equator": 0.010705822082139212, "l1_shell_density": 0.7562734748535549, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 2.8420438852357774, "omega_theta_equator": 0.010176100181300846, "l1_shell_density": 0.8112275266975071, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 3.019131357265541, "omega_theta_equator": 0.009604000725796659, "l1_shell_density": 0.8640043863349534, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 3.2072531320774726, "omega_theta_equator": 0.009003786484454917, "l1_shell_density": 0.914095158764839, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 3.407096755981268, "omega_theta_equator": 0.008390044258448737, "l1_shell_density": 0.9612424267097374, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 3.619392616228861, "omega_theta_equator": 0.007776629981616643, "l1_shell_density": 1.0054548489286157, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 3.8449166104292485, "omega_theta_equator": 0.0071757208359081994, "l1_shell_density": 1.046981795150523, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 4.084492982294342, "omega_theta_equator": 0.006597123336953195, "l1_shell_density": 1.0862521708024957, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 4.338997334079825, "omega_theta_equator": 0.006047936390940083, "l1_shell_density": 1.1237914583499307, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 4.609359826730896, "omega_theta_equator": 0.005532588189770252, "l1_shell_density": 1.1601371004034209, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 4.8965685794288225, "omega_theta_equator": 0.00505318057518823, "l1_shell_density": 1.1957716322893475, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 5.201673280962832, "omega_theta_equator": 0.004610014255755121, "l1_shell_density": 1.2310853261834211, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 5.525789026126301, "omega_theta_equator": 0.004202153522306974, "l1_shell_density": 1.2663689674404723, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 5.8701003911583545, "omega_theta_equator": 0.0038279196523646006, "l1_shell_density": 1.301828023742762, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 6.235865763125831, "omega_theta_equator": 0.00348525763500214, "l1_shell_density": 1.3376058150537018, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 6.6244219390686645, "omega_theta_equator": 0.0031719735623361887, "l1_shell_density": 1.3738055860589855, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 7.037189011717457, "omega_theta_equator": 0.0028858712244498727, "l1_shell_density": 1.4105066074885892, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 7.4756755596397415, "omega_theta_equator": 0.0026248236865254976, "l1_shell_density": 1.447773995890762, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 7.941484160783662, "omega_theta_equator": 0.0023868082601995783, "l1_shell_density": 1.4856640882543015, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 8.436317249570015, "omega_theta_equator": 0.0021699223424925455, "l1_shell_density": 1.5242273254885148, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 8.961983338939179, "omega_theta_equator": 0.0019723892596069286, "l1_shell_density": 1.5635099116508824, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 9.520403630093115, "omega_theta_equator": 0.0017925585909054156, "l1_shell_density": 1.603554879552294, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 10.113619034089703, "omega_theta_equator": 0.0016289032578430346, "l1_shell_density": 1.6444028392356762, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 10.743797630952042, "omega_theta_equator": 0.0014800146729762153, "l1_shell_density": 1.686092533663581, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 11.413242593553955, "omega_theta_equator": 0.0013445967540192125, "l1_shell_density": 1.7286612658312368, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 12.124400605242156, "omega_theta_equator": 0.0012214593292722874, "l1_shell_density": 1.7721452354127767, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 12.879870801959537, "omega_theta_equator": 0.0011095112859663304, "l1_shell_density": 1.8165798095714571, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 13.682414271551231, "omega_theta_equator": 0.001007753697508249, "l1_shell_density": 1.8619997446580785, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 14.534964144971639, "omega_theta_equator": 0.0009152730869585068, "l1_shell_density": 1.9084393705391516, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 15.440636316273364, "omega_theta_equator": 0.0008312349295792183, "l1_shell_density": 1.955932746014504, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 16.402740830557796, "omega_theta_equator": 0.0007548774591202633, "l1_shell_density": 2.004513791551037, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 17.424793981507623, "omega_theta_equator": 0.0006855058156213277, "l1_shell_density": 2.05421640399966, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 18.510531162715374, "omega_theta_equator": 0.0006224865535499057, "l1_shell_density": 2.10507455684949, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 19.66392051977716, "omega_theta_equator": 0.0005652425157862994, "l1_shell_density": 2.157122388763888, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 20.889177453046734, "omega_theta_equator": 0.0005132480697190292, "l1_shell_density": 2.210394282545005, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 22.190780024054988, "omega_theta_equator": 0.0004660246954048994, "l1_shell_density": 2.2649249362251913, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 23.57348532190176, "omega_theta_equator": 0.00042313691157320343, "l1_shell_density": 2.3207494276431935, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 25.04234684943584, "omega_theta_equator": 0.0003841885226303192, "l1_shell_density": 2.3779032736018713, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 26.60273299276635, "omega_theta_equator": 0.0003488191683235545, "l1_shell_density": 2.436422484501184, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 28.26034664160732, "omega_theta_equator": 0.00031670115703851844, "l1_shell_density": 2.4963436151814746, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 30.021246032164015, "omega_theta_equator": 0.00028753656360087226, "l1_shell_density": 2.5577038125861282, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 31.89186688873764, "omega_theta_equator": 0.0002610545727597092, "l1_shell_density": 2.6205408607529592, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 33.87904594497087, "omega_theta_equator": 0.00023700905011838003, "l1_shell_density": 2.6848932235627863, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 35.99004593070028, "omega_theta_equator": 0.0002151763230549129, "l1_shell_density": 2.7508000856088466, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 38.23258211573677, "omega_theta_equator": 0.00019535315506821497, "l1_shell_density": 2.818301391497562, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 40.614850507586205, "omega_theta_equator": 0.0001773548979463463, "l1_shell_density": 2.887437883847539, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 43.14555780616778, "omega_theta_equator": 0.0001610138071416888, "l1_shell_density": 2.958251140218001, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 45.833953225007136, "omega_theta_equator": 0.00014617750672743212, "l1_shell_density": 3.030783609167677, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 48.6898622952056, "omega_theta_equator": 0.0001327075912811196, "l1_shell_density": 3.105078645620781, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 51.7237227757309, "omega_theta_equator": 0.0001204783529805423, "l1_shell_density": 3.181180545695218, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 54.94662280127452, "omega_theta_equator": 0.00010937562309609542, "l1_shell_density": 3.2591345811311103, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 58.37034140709879, "omega_theta_equator": 9.929571791610688e-05, "l1_shell_density": 3.3389870334423724, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 62.00739157898233, "omega_theta_equator": 9.014447994452467e-05, "l1_shell_density": 3.42078522790155, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 65.87106598560419, "omega_theta_equator": 8.183640596231724e-05, "l1_shell_density": 3.5045775674573982, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 69.9754855605077, "omega_theta_equator": 7.429385424505764e-05, "l1_shell_density": 3.590413566674953, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 74.33565111120168, "omega_theta_equator": 6.744632388039217e-05, "l1_shell_density": 3.67834388578045, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 78.96749814402023, "omega_theta_equator": 6.122979973204727e-05, "l1_shell_density": 3.7684203648858543, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 83.88795510511301, "omega_theta_equator": 5.558615715385769e-05, "l1_shell_density": 3.860696058462484, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 89.11500525042712, "omega_theta_equator": 5.046262107029722e-05, "l1_shell_density": 3.955225270127394, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 94.66775237080043, "omega_theta_equator": 4.5811274511780304e-05, "l1_shell_density": 4.052063587802278, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 100.56649061237894, "omega_theta_equator": 4.158861212610641e-05, "l1_shell_density": 4.151267919300225, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 106.83277864753843, "omega_theta_equator": 3.775513458449669e-05, "l1_shell_density": 4.252896528392717, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 113.48951846738771, "omega_theta_equator": 3.427498016425025e-05, "l1_shell_density": 4.3570090714061, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 120.56103908382518, "omega_theta_equator": 3.111559012259999e-05, "l1_shell_density": 4.463666634394136, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 128.07318544706308, "omega_theta_equator": 2.824740478025702e-05, "l1_shell_density": 4.572931770931345, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 136.0534129035923, "omega_theta_equator": 2.5643587510625576e-05, "l1_shell_density": 4.684868540569502, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 144.5308875398152, "omega_theta_equator": 2.3279774083878545e-05, "l1_shell_density": 4.79954254799857, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 153.53659277807932, "omega_theta_equator": 2.1133845045983322e-05, "l1_shell_density": 4.917020982951272, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 163.10344261469882, "omega_theta_equator": 1.918571902321905e-05, "l1_shell_density": 5.037372660890069, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 173.26640191382762, "omega_theta_equator": 1.741716503444008e-05, "l1_shell_density": 5.160668064513603, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 184.06261419682943, "omega_theta_equator": 1.581163206792647e-05, "l1_shell_density": 5.286979386119377, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 195.5315373941931, "omega_theta_equator": 1.4354094338578414e-05, "l1_shell_density": 5.416380570858368, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 207.71508805613468, "omega_theta_equator": 1.3030910785832535e-05, "l1_shell_density": 5.548947360917158, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 220.65779454894766, "omega_theta_equator": 1.1829697504239718e-05, "l1_shell_density": 5.684757340662267, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 234.40695979700445, "omega_theta_equator": 1.0739211918306959e-05, "l1_shell_density": 5.823889982781378, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 249.0128341651936, "omega_theta_equator": 9.749247622016522e-06, "l1_shell_density": 5.966426695455957, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 264.5287991136462, "omega_theta_equator": 8.85053890235976e-06, "l1_shell_density": 6.1124508705995835, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 281.01156229596717, "omega_theta_equator": 8.03467405614578e-06, "l1_shell_density": 6.262047933196255, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 298.5213648140232, "omega_theta_equator": 7.2940166910712605e-06, "l1_shell_density": 6.415305391773065, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 317.12220138675065, "omega_theta_equator": 6.621634276306907e-06, "l1_shell_density": 6.572312890041756, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 336.88205423766266, "omega_theta_equator": 6.011233275337575e-06, "l1_shell_density": 6.733162259744177, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 357.87314155586364, "omega_theta_equator": 5.457100255103251e-06, "l1_shell_density": 6.897947574736098, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 380.17218143864153, "omega_theta_equator": 4.954048421187171e-06, "l1_shell_density": 7.0667652063453765, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 403.8606722803036, "omega_theta_equator": 4.497369079390523e-06, "l1_shell_density": 7.239713880039787, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 429.0251906320062, "omega_theta_equator": 4.082787569990947e-06, "l1_shell_density": 7.416894733440902, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 455.75770762120334, "omega_theta_equator": 3.7064232627211966e-06, "l1_shell_density": 7.598411375720822, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 484.1559250871613, "omega_theta_equator": 3.3647532384135316e-06, "l1_shell_density": 7.78436994841886, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 514.3236326610379, "omega_theta_equator": 3.054579317682846e-06, "l1_shell_density": 7.974879187715938, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 546.3710870955958, "omega_theta_equator": 2.772998128285968e-06, "l1_shell_density": 8.170050488205678, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 580.4154152309039, "omega_theta_equator": 2.51737393118531e-06, "l1_shell_density": 8.369997968200604, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 616.5810420687947, "omega_theta_equator": 2.285313951125868e-06, "l1_shell_density": 8.574838536614182, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 655.0001455205999, "omega_theta_equator": 2.074645980943786e-06, "l1_shell_density": 8.784691961458794, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 695.813139490166, "omega_theta_equator": 1.8833980500809157e-06, "l1_shell_density": 8.99968094000093, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 739.1691870577371, "omega_theta_equator": 1.709779967080059e-06, "l1_shell_density": 9.219931170617045, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 785.2267456402607, "omega_theta_equator": 1.5521665633590055e-06, "l1_shell_density": 9.445571426391536, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 834.1541461205865, "omega_theta_equator": 1.4090824814727306e-06, "l1_shell_density": 9.676733630502529, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 886.130208062146, "omega_theta_equator": 1.2791883655185847e-06, "l1_shell_density": 9.913552933439348, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 941.3448932575914, "omega_theta_equator": 1.1612683244553409e-06, "l1_shell_density": 10.156167792098328, "leading_equatorial_coefficient": 0.06651674216930793 }, { "alpha": 0.2, "rho": 1000.0, "omega_theta_equator": 1.0542185510146315e-06, "l1_shell_density": 10.404720050804054, "leading_equatorial_coefficient": 0.06651674216930793 } ], "method": "Numerical evaluation of the exact physical integral EX13 through its Euler-integral hypergeometric expression; EX15 supplies the proved leading coefficient." }