proxima-fusion/constellaration · Datasets at Hugging Face

De2T3d54aqK6tKTwGnP8DPL

{"qi": 0.021363918679503067, "vacuum_well": -0.12638020120809068, "aspect_ratio": 10.27286844717736, "max_elongation": 4.4802478062396895, "average_triangularity": -0.5067468558642542, "axis_magnetic_mirror_ratio": 0.12430589346526989, "edge_magnetic_mirror_ratio": 0.154901354768985, "aspect_ratio_over_edge_rotational_transform": 24.25737246206147, "flux_compression_in_regions_of_bad_curvature": 1.1717088472977983, "axis_rotational_transform_over_n_field_periods": 0.19232212888119962, "edge_rotational_transform_over_n_field_periods": 0.2117473453327257, "minimum_normalized_magnetic_gradient_scale_length": 4.805648105589815}

10.272868

24.257372

-0.879207

0.124306

0.192322

0.154901

0.211747

1.171709

4.480248

4.805648

0.021364

-0.12638

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0642492242334622,-0.04680733496438067,0.003595865533595054,0.0016775842188970092],[-0.0005823976638758423,-0.005228351119164117,0.035534268493911954,0.023669243462945876,0.08190995888196613,0.0296569027309687,-0.011799498283908317,0.00013326420235554087,-0.00025297446595969747],[0.000520403556206393,-0.00019393256669037427,-0.012827122282409512,-0.0010124903505923546,-0.010033871549412585,-0.002174745796501604,-0.0017083149129330658,-0.0003598235556024187,0.00043592957961256546],[-0.0005389921566162664,0.0010431691987308755,0.0033273093247146593,0.00023547619245924503,0.0028915862321129827,0.0004985606540238616,-0.002106273064322906,-0.0006377694813058649,0.00003832703130994368],[-0.00010690927087468805,-0.00020207626665619854,-0.00003237712316504819,-0.000010541358779469925,0.0004940322045293358,0.0008972781922574587,0.00018980975272665917,0.00016587300500286211,0.00012328611829990715]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07828779100891636,0.02445703930763651,-0.004590252038512009,-0.0017599418901259722],[-0.0014704523111170012,-0.0013582492618805977,0.01359257715863114,0.07656311078316873,-0.1471438693309751,-0.011507695483126204,0.006059782128510735,0.000851469557482022,-0.00011856136071014686],[0.0003492331418756977,0.000604645984701092,-0.015016735272710253,-0.005367756860786398,-0.010736775573634616,-0.0032919553099616723,0.004949276515567601,-0.0009227281146980594,-0.00018585264891881045],[-0.00002091326476563252,-0.00046164438734682246,0.009127487079313896,-0.003918332047193114,-0.016493388504753986,-0.0010498379384344273,0.0026474429811028993,0.0005801701999544349,-0.00001120687075621336],[-0.00008972918496620097,-0.000038171763144643884,0.0013483389873951424,0.0010067951068487267,-0.002425327004249065,-0.0006667352150685588,0.00063729633095785,-0.0001953778444569455,-0.00009106499478770324]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.0642492242334622, -0.04680733496438067, 0.003595865533595054, 0.0016775842188970092 ], [ -0.0005823976638758423, -0.005228351119164117, 0.035534268493911954, 0.023669243462945876, 0.08190995888196613, 0.0296569027309687, -0.011799498283908317, 0.00013326420235554087, -0.00025297446595969747 ], [ 0.000520403556206393, -0.00019393256669037427, -0.012827122282409512, -0.0010124903505923546, -0.010033871549412585, -0.002174745796501604, -0.0017083149129330658, -0.0003598235556024187, 0.00043592957961256546 ], [ -0.0005389921566162664, 0.0010431691987308755, 0.0033273093247146593, 0.00023547619245924503, 0.0028915862321129827, 0.0004985606540238616, -0.002106273064322906, -0.0006377694813058649, 0.00003832703130994368 ], [ -0.00010690927087468805, -0.00020207626665619854, -0.00003237712316504819, -0.000010541358779469925, 0.0004940322045293358, 0.0008972781922574587, 0.00018980975272665917, 0.00016587300500286211, 0.00012328611829990715 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07828779100891636, 0.02445703930763651, -0.004590252038512009, -0.0017599418901259722 ], [ -0.0014704523111170012, -0.0013582492618805977, 0.01359257715863114, 0.07656311078316873, -0.1471438693309751, -0.011507695483126204, 0.006059782128510735, 0.000851469557482022, -0.00011856136071014686 ], [ 0.0003492331418756977, 0.000604645984701092, -0.015016735272710253, -0.005367756860786398, -0.010736775573634616, -0.0032919553099616723, 0.004949276515567601, -0.0009227281146980594, -0.00018585264891881045 ], [ -0.00002091326476563252, -0.00046164438734682246, 0.009127487079313896, -0.003918332047193114, -0.016493388504753986, -0.0010498379384344273, 0.0026474429811028993, 0.0005801701999544349, -0.00001120687075621336 ], [ -0.00008972918496620097, -0.000038171763144643884, 0.0013483389873951424, 0.0010067951068487267, -0.002425327004249065, -0.0006667352150685588, 0.00063729633095785, -0.0001953778444569455, -0.00009106499478770324 ] ]

DQUu4rmLimKGRTkR5z9K29X

{"aspect_ratio": 10.900321165921296, "major_radius": 1.0, "max_elongation": 4.237222954025773, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.007725883731088315, -0.1467622920076937, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.9018264284221298, 0.9018264333683532, 0.9018266359049867, 0.9018282416394631, 0.9018347616513287, 0.9018533493800074, 0.9018959959864798, 0.9019804904152601, 0.902131090884083, 0.9023788794044746, 0.9027617882998074, 0.9033243006907175, 0.9041168370842747, 0.9051948483708652, 0.9066176422042576, 0.9084469752372417, 0.9107454482226425, 0.913574744716208, 0.916993757138996, 0.9210566463474715, 0.9258108826729751, 0.9312953176654708, 0.9375383365335873, 0.9445561415271102, 0.952351216262921, 0.9609110202456019, 0.9702069615652729, 0.9801936939440251, 0.9908087819144097, 1.0019727749024816, 1.013589727292941, 1.0255481970957296, 1.037722750509655, 1.0499759933564823, 1.0621611428652606, 1.0741251443930429, 1.0857123270692774, 1.0967685796318762, 1.1071460123075472, 1.1167080516600982, 1.1253348916958068, 1.1329291943795239, 1.1394218932738989, 1.1447779006862708, 1.1490014436056089, 1.1521406423388765, 1.1542907691880826, 1.1555953184685073, 1.1562434177437924, 1.1564606742874683, 1.1564855055473524], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3386313867258379}

10.900321

1

4.237223

[ [ 0.9018264284221298, 0.9018264333683532, 0.9018266359049867, 0.9018282416394631, 0.9018347616513287, 0.9018533493800074, 0.9018959959864798, 0.9019804904152601, 0.902131090884083, 0.9023788794044746, 0.9027617882998074, 0.9033243006907175, 0.9041168370842747, 0.9051948483708652, 0.9066176422042576, 0.9084469752372417, 0.9107454482226425, 0.913574744716208, 0.916993757138996, 0.9210566463474715, 0.9258108826729751, 0.9312953176654708, 0.9375383365335873, 0.9445561415271102, 0.952351216262921, 0.9609110202456019, 0.9702069615652729, 0.9801936939440251, 0.9908087819144097, 1.0019727749024816, 1.013589727292941, 1.0255481970957296, 1.037722750509655, 1.0499759933564823, 1.0621611428652606, 1.0741251443930429, 1.0857123270692774, 1.0967685796318762, 1.1071460123075472, 1.1167080516600982, 1.1253348916958068, 1.1329291943795239, 1.1394218932738989, 1.1447779006862708, 1.1490014436056089, 1.1521406423388765, 1.1542907691880826, 1.1555953184685073, 1.1562434177437924, 1.1564606742874683, 1.1564855055473524 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ -0.007725883731088315, -0.1467622920076937, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.338631

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DbXQsGipF8ZJ5Shyiki3jca

null

false

null

false

D82nGdtFgnTNJiAnh3MpFV5

DheK9mM2pW5254uqYMTVNgm

{"qi": 0.0036080512466398016, "vacuum_well": -0.1470962758802301, "aspect_ratio": 9.266269791037685, "max_elongation": 7.511951107921247, "average_triangularity": -0.45820149072524013, "axis_magnetic_mirror_ratio": 0.42835802040848386, "edge_magnetic_mirror_ratio": 0.44077770131695854, "aspect_ratio_over_edge_rotational_transform": 11.553727747476799, "flux_compression_in_regions_of_bad_curvature": 1.7555448143033325, "axis_rotational_transform_over_n_field_periods": 0.20498818293004328, "edge_rotational_transform_over_n_field_periods": 0.2005038978233958, "minimum_normalized_magnetic_gradient_scale_length": 7.825748784367266}

9.26627

11.553728

-0.692468

0.428358

0.204988

0.440778

0.200504

1.755545

7.511951

7.825749

0.003608

-0.147096

{"r_cos":[[0.0,0.0,0.0,0.0,0.9926932290870231,0.024474628629752276,-0.0029726092293731413,-0.00036625673768569955,0.0005198592591320701],[-0.0012256499749983512,-0.007331289124811147,-0.012364774259936533,-0.07748977349465268,0.13005468537216874,0.01261223813165925,-0.013489325510857332,0.0010311452854983813,0.00050230445475365],[-0.0003424103986217128,0.0007090994170588791,-0.0015101234767696456,0.0002369397864905383,-0.01541941935561618,0.0065980044876300485,-0.0005696816275066335,0.00043953662279264463,-0.00015811302667532187],[0.0002941815122666345,0.0012078465340344055,0.0023151013931665167,-0.0006765675009240155,-0.001576652052947811,-0.0013658050164362852,0.00002745795155643482,0.0007739723697382394,-0.0002951704551325115],[-0.0002915998831977609,0.00045380247874828716,-0.0001857845627426842,-0.0010363525947451094,0.002092944478295931,-0.0009859622302541581,0.0000560625331249266,0.00023798635817679972,-0.00009379037518387519]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07494511521418026,0.01196155729280127,0.0018732253851693583,-0.0010159809659449279],[-0.0006317067873937553,-0.0061532729676565074,-0.005955974394912741,-0.08850432114300591,-0.1585030594143233,0.050013612886222275,0.003899718468654626,-0.0020544866828004467,0.00019190393806107605],[-0.0006104581726679893,-0.00012287098614771684,0.004814896271019723,0.026739985297791945,-0.03536661959108427,0.006357598681763797,0.005010728103813549,-0.0016739636106161174,0.00016859470229227513],[-0.00013159783295084776,0.0002174295950961233,-0.001122979962456461,0.013845952501886832,-0.004719055390662569,-0.0003470273537083792,0.0012858570003124463,-0.00031970716860639016,0.00004034352672131268],[0.000014371820304789427,0.00004500661374333496,-0.00029202491968251715,-0.0002791610706255682,0.00003659884765401018,0.00019468700078647017,-0.000013658642875546522,-0.00007504997163157804,0.000013730649330133435]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9926932290870231, 0.024474628629752276, -0.0029726092293731413, -0.00036625673768569955, 0.0005198592591320701 ], [ -0.0012256499749983512, -0.007331289124811147, -0.012364774259936533, -0.07748977349465268, 0.13005468537216874, 0.01261223813165925, -0.013489325510857332, 0.0010311452854983813, 0.00050230445475365 ], [ -0.0003424103986217128, 0.0007090994170588791, -0.0015101234767696456, 0.0002369397864905383, -0.01541941935561618, 0.0065980044876300485, -0.0005696816275066335, 0.00043953662279264463, -0.00015811302667532187 ], [ 0.0002941815122666345, 0.0012078465340344055, 0.0023151013931665167, -0.0006765675009240155, -0.001576652052947811, -0.0013658050164362852, 0.00002745795155643482, 0.0007739723697382394, -0.0002951704551325115 ], [ -0.0002915998831977609, 0.00045380247874828716, -0.0001857845627426842, -0.0010363525947451094, 0.002092944478295931, -0.0009859622302541581, 0.0000560625331249266, 0.00023798635817679972, -0.00009379037518387519 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07494511521418026, 0.01196155729280127, 0.0018732253851693583, -0.0010159809659449279 ], [ -0.0006317067873937553, -0.0061532729676565074, -0.005955974394912741, -0.08850432114300591, -0.1585030594143233, 0.050013612886222275, 0.003899718468654626, -0.0020544866828004467, 0.00019190393806107605 ], [ -0.0006104581726679893, -0.00012287098614771684, 0.004814896271019723, 0.026739985297791945, -0.03536661959108427, 0.006357598681763797, 0.005010728103813549, -0.0016739636106161174, 0.00016859470229227513 ], [ -0.00013159783295084776, 0.0002174295950961233, -0.001122979962456461, 0.013845952501886832, -0.004719055390662569, -0.0003470273537083792, 0.0012858570003124463, -0.00031970716860639016, 0.00004034352672131268 ], [ 0.000014371820304789427, 0.00004500661374333496, -0.00029202491968251715, -0.0002791610706255682, 0.00003659884765401018, 0.00019468700078647017, -0.000013658642875546522, -0.00007504997163157804, 0.000013730649330133435 ] ]

DUzRmYMgsXxMeD2nSQZ5qaN

{"aspect_ratio": 10.350744118766004, "major_radius": 1.0, "max_elongation": 6.941429649499925, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04360416209401105, -0.20382665436047975, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.6336642081245102, 0.6336642928270462, 0.6336671093257239, 0.6336866094674326, 0.6337581468284047, 0.6339460150152905, 0.6343479446568346, 0.635096653895444, 0.6363587164279312, 0.6383310901965327, 0.6412356880421062, 0.645312387119002, 0.650810875107658, 0.6579817228162459, 0.6670670573562952, 0.6782911894507084, 0.6918515237670856, 0.7079100533044148, 0.7265857084177842, 0.7479477985190991, 0.7720107502170459, 0.7987303099615939, 0.8280013423916219, 0.8596573177669735, 0.8934715432903179, 0.9291601539630899, 0.9663868390345065, 1.0047692402467834, 1.0438869181038788, 1.0832907424472111, 1.1225135238675166, 1.161081663085075, 1.1985275565748972, 1.2344024586055768, 1.2682894627385133, 1.2998162299792946, 1.3286670565258492, 1.3545938418411998, 1.3774254881304309, 1.397075235925287, 1.413545418321835, 1.4269290997902422, 1.4374080562689828, 1.4452465542958124, 1.4507804026543694, 1.4544007878156489, 1.456532477536617, 1.4576061112695566, 1.4580245493448616, 1.4581237812635321, 1.4581302960763285], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8239540616084188}

10.350744

1

6.94143

[ [ 0.6336642081245102, 0.6336642928270462, 0.6336671093257239, 0.6336866094674326, 0.6337581468284047, 0.6339460150152905, 0.6343479446568346, 0.635096653895444, 0.6363587164279312, 0.6383310901965327, 0.6412356880421062, 0.645312387119002, 0.650810875107658, 0.6579817228162459, 0.6670670573562952, 0.6782911894507084, 0.6918515237670856, 0.7079100533044148, 0.7265857084177842, 0.7479477985190991, 0.7720107502170459, 0.7987303099615939, 0.8280013423916219, 0.8596573177669735, 0.8934715432903179, 0.9291601539630899, 0.9663868390345065, 1.0047692402467834, 1.0438869181038788, 1.0832907424472111, 1.1225135238675166, 1.161081663085075, 1.1985275565748972, 1.2344024586055768, 1.2682894627385133, 1.2998162299792946, 1.3286670565258492, 1.3545938418411998, 1.3774254881304309, 1.397075235925287, 1.413545418321835, 1.4269290997902422, 1.4374080562689828, 1.4452465542958124, 1.4507804026543694, 1.4544007878156489, 1.456532477536617, 1.4576061112695566, 1.4580245493448616, 1.4581237812635321, 1.4581302960763285 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.04360416209401105, -0.20382665436047975, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.823954

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DEszbNi3HQUBQCYFsRmbjVS

null

false

null

false

DjtLaT2pBtTc28xNAL2oZLo

DLAuBdFzcU7eLhGynxEtBjW

{"qi": 0.009406792608902809, "vacuum_well": -0.11680655927950344, "aspect_ratio": 9.998754118369384, "max_elongation": 5.5755780840289315, "average_triangularity": -0.6180208048538829, "axis_magnetic_mirror_ratio": 0.22785971039024572, "edge_magnetic_mirror_ratio": 0.2593854277278579, "aspect_ratio_over_edge_rotational_transform": 16.053672701070113, "flux_compression_in_regions_of_bad_curvature": 1.2728523349472955, "axis_rotational_transform_over_n_field_periods": 0.26629784969090575, "edge_rotational_transform_over_n_field_periods": 0.31141640621908534, "minimum_normalized_magnetic_gradient_scale_length": 3.2694216306500996}

9.998754

16.053673

-0.714347

0.22786

0.266298

0.259385

0.311416

1.272852

5.575578

3.269422

0.009407

-0.116807

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.015634453249966682,-0.06452754722620403,0.0001378772598185766,0.002380787637687583],[-0.002795933865428946,-0.006087444896203577,0.04385699591920364,0.009472499872050781,0.09136704941853464,0.00003623504145463391,-0.006757979508473431,-0.00023511646916979812,-0.0011109400205156844],[0.0018377885541625402,0.0006998788177786435,-0.01311748973115795,-0.004824770344590112,-0.009768611388912865,-0.0019071447882949896,-0.0013913032630981526,-0.0005262285598738739,-0.0003418005181811919],[0.0009119135887534048,0.002447573577782744,-0.0008061574872335286,0.002467803882931276,0.002468608827835793,-8.13488399625242e-6,-0.00034189655510688175,-0.0002637940289115662,-0.00008932961503844267],[-0.0003116976771669641,-0.000661338940614155,-0.0005337882742778582,0.0008200229036772476,0.00004021733121971176,0.00019019012954436798,0.00002519988625575417,0.000031562522226840284,0.000012211296669874683]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.05901919794827603,0.032174314449299184,-0.002288336474089595,-0.00218897525767159],[-0.0037488478878402636,-0.008882033011700563,0.06230100169587588,0.03146125659648115,-0.15729742408509773,-0.0019272041155771972,-0.0004069075743560746,-0.001253478409914327,0.0011258489594615558],[0.0016179298745142602,0.0026929780586082163,-0.03819667517360431,0.007563813781248989,-0.00890939258046472,0.00008644266308401906,-0.0025417726730483023,-0.00033263348402923134,0.00027796372179317655],[-0.0006178817842748838,0.0016728601535236857,-0.001258724216635792,-0.0017632574938997035,-0.0071442446630461225,-0.00032887403480593737,-0.0010090902786150692,0.00014538839755416405,0.00009710619941594525],[-0.0007042026689019667,-0.0005305231363808014,0.0024018113829042276,-0.0010490525995250346,-0.0003162815195324601,-0.000060820370917288587,-0.0002714286562567629,-0.00002872838069372356,-0.000021080136804423565]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.015634453249966682, -0.06452754722620403, 0.0001378772598185766, 0.002380787637687583 ], [ -0.002795933865428946, -0.006087444896203577, 0.04385699591920364, 0.009472499872050781, 0.09136704941853464, 0.00003623504145463391, -0.006757979508473431, -0.00023511646916979812, -0.0011109400205156844 ], [ 0.0018377885541625402, 0.0006998788177786435, -0.01311748973115795, -0.004824770344590112, -0.009768611388912865, -0.0019071447882949896, -0.0013913032630981526, -0.0005262285598738739, -0.0003418005181811919 ], [ 0.0009119135887534048, 0.002447573577782744, -0.0008061574872335286, 0.002467803882931276, 0.002468608827835793, -0.00000813488399625242, -0.00034189655510688175, -0.0002637940289115662, -0.00008932961503844267 ], [ -0.0003116976771669641, -0.000661338940614155, -0.0005337882742778582, 0.0008200229036772476, 0.00004021733121971176, 0.00019019012954436798, 0.00002519988625575417, 0.000031562522226840284, 0.000012211296669874683 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.05901919794827603, 0.032174314449299184, -0.002288336474089595, -0.00218897525767159 ], [ -0.0037488478878402636, -0.008882033011700563, 0.06230100169587588, 0.03146125659648115, -0.15729742408509773, -0.0019272041155771972, -0.0004069075743560746, -0.001253478409914327, 0.0011258489594615558 ], [ 0.0016179298745142602, 0.0026929780586082163, -0.03819667517360431, 0.007563813781248989, -0.00890939258046472, 0.00008644266308401906, -0.0025417726730483023, -0.00033263348402923134, 0.00027796372179317655 ], [ -0.0006178817842748838, 0.0016728601535236857, -0.001258724216635792, -0.0017632574938997035, -0.0071442446630461225, -0.00032887403480593737, -0.0010090902786150692, 0.00014538839755416405, 0.00009710619941594525 ], [ -0.0007042026689019667, -0.0005305231363808014, 0.0024018113829042276, -0.0010490525995250346, -0.0003162815195324601, -0.000060820370917288587, -0.0002714286562567629, -0.00002872838069372356, -0.000021080136804423565 ] ]

DbXdkvdtAb7U9zA8jeRyjKp

{"aspect_ratio": 11.475684713321293, "major_radius": 1.0, "max_elongation": 5.256124546438572, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.3497105511914481, -0.11106791395375946, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.7738573049155097, 0.7738573298956859, 0.7738585315261963, 0.7738688489725155, 0.7739125010228082, 0.7740392838610869, 0.7743313060780772, 0.7749061025372751, 0.7759158412993886, 0.7775428374435872, 0.779991909939676, 0.7834803128454425, 0.7882260718413242, 0.7944355840378474, 0.8022913102796517, 0.8119403185226927, 0.8234843355457395, 0.8369718417321029, 0.8523926079666272, 0.8696749317274091, 0.8886856871304115, 0.9092331660837744, 0.931072559153796, 0.9539138088839981, 0.977431468164258, 1.0012761142550306, 1.0250868071134354, 1.0485040400927244, 1.0711826127281006, 1.0928038595096914, 1.1130866951097405, 1.1317969848123552, 1.148754817729358, 1.163839348109281, 1.1769909744765195, 1.1882107447585462, 1.1975570046974247, 1.205139442833369, 1.2111108236938781, 1.2156568363298141, 1.2189846120448293, 1.2213105762205863, 1.2228483866667903, 1.2237977657862473, 1.2243350453168766, 1.224606197657645, 1.2247230109737526, 1.2247628559912114, 1.2247721624225216, 1.2247732288292263, 1.2247732504341653], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.577350184458517}

11.475685

1

5.256125

[ [ 0.7738573049155097, 0.7738573298956859, 0.7738585315261963, 0.7738688489725155, 0.7739125010228082, 0.7740392838610869, 0.7743313060780772, 0.7749061025372751, 0.7759158412993886, 0.7775428374435872, 0.779991909939676, 0.7834803128454425, 0.7882260718413242, 0.7944355840378474, 0.8022913102796517, 0.8119403185226927, 0.8234843355457395, 0.8369718417321029, 0.8523926079666272, 0.8696749317274091, 0.8886856871304115, 0.9092331660837744, 0.931072559153796, 0.9539138088839981, 0.977431468164258, 1.0012761142550306, 1.0250868071134354, 1.0485040400927244, 1.0711826127281006, 1.0928038595096914, 1.1130866951097405, 1.1317969848123552, 1.148754817729358, 1.163839348109281, 1.1769909744765195, 1.1882107447585462, 1.1975570046974247, 1.205139442833369, 1.2111108236938781, 1.2156568363298141, 1.2189846120448293, 1.2213105762205863, 1.2228483866667903, 1.2237977657862473, 1.2243350453168766, 1.224606197657645, 1.2247230109737526, 1.2247628559912114, 1.2247721624225216, 1.2247732288292263, 1.2247732504341653 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ -0.3497105511914481, -0.11106791395375946, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.57735

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DTShN68LSxqddiNXR3UMuJk

null

false

null

false

Dnf5TKnqoXjJTrHP6pAnwjt

DWXnrEm3e5W826WvMJdfySx

{"qi": 0.0013986065472130953, "vacuum_well": -0.05192601282266216, "aspect_ratio": 7.842986107413447, "max_elongation": 6.698446529400015, "average_triangularity": 0.28297069846914347, "axis_magnetic_mirror_ratio": 0.304101656972464, "edge_magnetic_mirror_ratio": 0.3687288323456593, "aspect_ratio_over_edge_rotational_transform": 7.563302052380223, "flux_compression_in_regions_of_bad_curvature": 2.0641955930766263, "axis_rotational_transform_over_n_field_periods": 0.2693198958293255, "edge_rotational_transform_over_n_field_periods": 0.25924477341696295, "minimum_normalized_magnetic_gradient_scale_length": 5.044796057395618}

7.842986

7.563302

0.313058

0.304102

0.26932

0.368729

0.259245

2.064196

6.698447

5.044796

0.001399

-0.051926

{"r_cos":[[0.0,0.0,0.0,0.0,0.9934291190393472,-0.03212289792903224,-0.015795241827156144,0.0029887547546129786,-0.0002792773720434725],[0.00008520083690063656,-0.006890842492768345,-0.01482813577604941,-0.08083477825964903,0.2115656673316691,-0.038046706511558406,-0.004946638787001757,-0.0003341157513597824,-0.0001976465511746454],[-0.0005340061550799909,-0.00010365109387668075,0.006583615761130951,0.03557942426973399,-0.04065459039660949,0.00964347811527915,0.0009046713365345725,-0.0005149509003287108,0.000016269611364110015],[-0.00010984096441944859,0.00003200760872009497,-0.00154977184006581,-0.0015318352035405209,0.00008372368288257011,0.001998324321749291,-0.001391462601981195,0.0008737434436804923,-0.00029534913945048505],[0.00006581476174936517,-0.00012616578815336497,0.0005120757467069986,-0.0005004521832257872,0.0004498365840591226,-0.00025240528612535673,0.00019247472234470774,-5.745148448208675e-8,-0.000029818760577004194]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.23484071268513668,0.01908216065525515,-0.005925356199862018,0.0014959318844063995],[-0.001514830299637648,-0.004749733420011472,-0.028889970537302804,-0.07964997074125013,-0.08688185843799398,0.03507241676171567,0.00013394414592519596,0.0010551526698389282,0.0003112558816879492],[-0.00026733073917605487,-0.0020206059361425354,-0.0007661877175939656,-0.010575884840957719,0.010263224055292605,-0.00489558239603405,0.00250485765362607,-0.0015401053209662325,0.00022920727537125023],[-0.00006771910750087137,-0.0015510026021261188,-0.005408587138751612,0.004632774415966459,0.0013914482192994829,-0.0022171268162309455,-0.00010296318070875067,0.00024044490097417095,0.00008548850864699152],[-0.0000478532889733028,0.00010708836498416002,0.0009390110155617231,-0.0003964561062832255,-0.0005226533592898457,0.0003294019306345718,-0.0001769356802555366,-0.000012703230651004688,0.00004214862054854906]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9934291190393472, -0.03212289792903224, -0.015795241827156144, 0.0029887547546129786, -0.0002792773720434725 ], [ 0.00008520083690063656, -0.006890842492768345, -0.01482813577604941, -0.08083477825964903, 0.2115656673316691, -0.038046706511558406, -0.004946638787001757, -0.0003341157513597824, -0.0001976465511746454 ], [ -0.0005340061550799909, -0.00010365109387668075, 0.006583615761130951, 0.03557942426973399, -0.04065459039660949, 0.00964347811527915, 0.0009046713365345725, -0.0005149509003287108, 0.000016269611364110015 ], [ -0.00010984096441944859, 0.00003200760872009497, -0.00154977184006581, -0.0015318352035405209, 0.00008372368288257011, 0.001998324321749291, -0.001391462601981195, 0.0008737434436804923, -0.00029534913945048505 ], [ 0.00006581476174936517, -0.00012616578815336497, 0.0005120757467069986, -0.0005004521832257872, 0.0004498365840591226, -0.00025240528612535673, 0.00019247472234470774, -5.745148448208675e-8, -0.000029818760577004194 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.23484071268513668, 0.01908216065525515, -0.005925356199862018, 0.0014959318844063995 ], [ -0.001514830299637648, -0.004749733420011472, -0.028889970537302804, -0.07964997074125013, -0.08688185843799398, 0.03507241676171567, 0.00013394414592519596, 0.0010551526698389282, 0.0003112558816879492 ], [ -0.00026733073917605487, -0.0020206059361425354, -0.0007661877175939656, -0.010575884840957719, 0.010263224055292605, -0.00489558239603405, 0.00250485765362607, -0.0015401053209662325, 0.00022920727537125023 ], [ -0.00006771910750087137, -0.0015510026021261188, -0.005408587138751612, 0.004632774415966459, 0.0013914482192994829, -0.0022171268162309455, -0.00010296318070875067, 0.00024044490097417095, 0.00008548850864699152 ], [ -0.0000478532889733028, 0.00010708836498416002, 0.0009390110155617231, -0.0003964561062832255, -0.0005226533592898457, 0.0003294019306345718, -0.0001769356802555366, -0.000012703230651004688, 0.00004214862054854906 ] ]

De8dukgGATyHSCwhwTaAXpe

{"aspect_ratio": 7.493751275009675, "major_radius": 1.0, "max_elongation": 6.220320524641011, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.028330482552200418, 0.21561777196894702, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.6377997584909756, 0.6378202756034681, 0.6380554822831633, 0.6388833527190236, 0.6407500437775497, 0.6441006030157697, 0.6493358201608277, 0.6567852274116077, 0.6666914689992751, 0.6792030697940353, 0.694373512183924, 0.7121650422688279, 0.7324559615870826, 0.7550503991552862, 0.7796897390755037, 0.8060650218454826, 0.8338297545743534, 0.8626126637504026, 0.8920300086435027, 0.9216971469372929, 0.9512391089090957, 0.9802999939280648, 1.0085510543323517, 1.0356973776989498, 1.0614831197593289, 1.0856952772180886, 1.1081660228702264, 1.1287736549720058, 1.147442239023141, 1.164140043134727, 1.1788768881161886, 1.1917005504076386, 1.2026923700718517, 1.2119622272740131, 1.2196430590212002, 1.225885093383055, 1.230849980916863, 1.2347050024882726, 1.2376175289896714, 1.2397499014425692, 1.241254889401738, 1.2422718711553657, 1.242923860532781, 1.2433154816394958, 1.2435319637734756, 1.2436391930366226, 1.2436848130883111, 1.2437003124553199, 1.243703965240233, 1.2437043969969084, 1.243704406445092], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.122845324744572}

7.493751

1

6.220321

[ [ 0.6377997584909756, 0.6378202756034681, 0.6380554822831633, 0.6388833527190236, 0.6407500437775497, 0.6441006030157697, 0.6493358201608277, 0.6567852274116077, 0.6666914689992751, 0.6792030697940353, 0.694373512183924, 0.7121650422688279, 0.7324559615870826, 0.7550503991552862, 0.7796897390755037, 0.8060650218454826, 0.8338297545743534, 0.8626126637504026, 0.8920300086435027, 0.9216971469372929, 0.9512391089090957, 0.9802999939280648, 1.0085510543323517, 1.0356973776989498, 1.0614831197593289, 1.0856952772180886, 1.1081660228702264, 1.1287736549720058, 1.147442239023141, 1.164140043134727, 1.1788768881161886, 1.1917005504076386, 1.2026923700718517, 1.2119622272740131, 1.2196430590212002, 1.225885093383055, 1.230849980916863, 1.2347050024882726, 1.2376175289896714, 1.2397499014425692, 1.241254889401738, 1.2422718711553657, 1.242923860532781, 1.2433154816394958, 1.2435319637734756, 1.2436391930366226, 1.2436848130883111, 1.2437003124553199, 1.243703965240233, 1.2437043969969084, 1.243704406445092 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.028330482552200418, 0.21561777196894702, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.122845

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

Dmtvms5Ngsm9H4amXCmgZNp

null

false

null

false

DUCZCbq858rnYABAHTgL6Am

D5WoUamvbasrakzf5nMADK4

{"qi": 0.009905606716983, "vacuum_well": -0.014951300183658416, "aspect_ratio": 6.902258769466292, "max_elongation": 3.2387236796424284, "average_triangularity": 0.10730157603439697, "axis_magnetic_mirror_ratio": 0.26355551462431703, "edge_magnetic_mirror_ratio": 0.548532696103679, "aspect_ratio_over_edge_rotational_transform": 11.370878050197831, "flux_compression_in_regions_of_bad_curvature": 1.0459295918866554, "axis_rotational_transform_over_n_field_periods": 0.15698834003524587, "edge_rotational_transform_over_n_field_periods": 0.15175298554332411, "minimum_normalized_magnetic_gradient_scale_length": 2.8974749117403267}

6.902259

11.370878

0.238989

0.263556

0.156988

0.548533

0.151753

1.04593

3.238724

2.897475

0.009906

-0.014951

{"r_cos":[[0.0,0.0,0.0,0.0,0.9940117597743011,0.07323755168941423,-0.0084746919616059,0.0018282924866502362,0.00146112489030729],[0.0000998081786215717,-0.006665127298264596,-0.00039081908557654643,-0.050468478830167196,0.1418708264387573,-0.0005033138137772869,-0.011630766279401532,-0.001205143472975882,0.00038415688486563516],[0.000790800239577763,0.002461824982030856,0.008730138190482146,-0.015857990775598435,-0.009097134350445766,0.010349826822841576,0.002262119521974881,-0.0012904775529369952,0.0008635061511182224],[-0.001094172625240862,-0.0014858540144253001,-0.00021080102382826764,0.009815809789847045,0.009232246780405847,-0.013621668195407619,-0.001909967580045648,0.001569032462469433,0.00020732616175613282],[0.00033510117502457613,0.0004637500890812668,-0.00016655731364468836,-0.001498397725865958,-0.0012306005309031497,0.0012460880804715856,0.0017163786292210873,-0.00019483801873395327,-0.0003319998893394183]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.5256693925890062,0.019558848085596645,-0.008917299624627747,0.0025371184316038114],[-0.0031932521300229726,-0.005231002778384349,-0.042589188292347785,-0.02610475142183813,-0.15398265317982718,0.004264346355639518,-0.012874645901191095,0.005582209968230253,-0.0028440036285914505],[-0.0006704674138508077,0.0030007534350933772,0.0018500825943787327,-0.00944442265921278,0.005378172017627275,0.012468065001676331,0.0007532435430557374,-0.005443872614109914,0.0005008548336307402],[-0.0005020163297862367,-0.0012868930126345253,0.002563696140483594,0.0057135057502155214,-0.005329683455463287,-0.00029839298795484876,-0.0010434204344895543,0.0006261965458749663,-0.00032302829543291424],[0.00019294961536490398,-0.0006041840842297932,-0.0018027637288922141,-0.00006997150038375076,0.0008891226852547472,0.0009396189025844717,-0.0003334786272140589,-0.0008104538612744295,0.0002964899089716133]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9940117597743011, 0.07323755168941423, -0.0084746919616059, 0.0018282924866502362, 0.00146112489030729 ], [ 0.0000998081786215717, -0.006665127298264596, -0.00039081908557654643, -0.050468478830167196, 0.1418708264387573, -0.0005033138137772869, -0.011630766279401532, -0.001205143472975882, 0.00038415688486563516 ], [ 0.000790800239577763, 0.002461824982030856, 0.008730138190482146, -0.015857990775598435, -0.009097134350445766, 0.010349826822841576, 0.002262119521974881, -0.0012904775529369952, 0.0008635061511182224 ], [ -0.001094172625240862, -0.0014858540144253001, -0.00021080102382826764, 0.009815809789847045, 0.009232246780405847, -0.013621668195407619, -0.001909967580045648, 0.001569032462469433, 0.00020732616175613282 ], [ 0.00033510117502457613, 0.0004637500890812668, -0.00016655731364468836, -0.001498397725865958, -0.0012306005309031497, 0.0012460880804715856, 0.0017163786292210873, -0.00019483801873395327, -0.0003319998893394183 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.5256693925890062, 0.019558848085596645, -0.008917299624627747, 0.0025371184316038114 ], [ -0.0031932521300229726, -0.005231002778384349, -0.042589188292347785, -0.02610475142183813, -0.15398265317982718, 0.004264346355639518, -0.012874645901191095, 0.005582209968230253, -0.0028440036285914505 ], [ -0.0006704674138508077, 0.0030007534350933772, 0.0018500825943787327, -0.00944442265921278, 0.005378172017627275, 0.012468065001676331, 0.0007532435430557374, -0.005443872614109914, 0.0005008548336307402 ], [ -0.0005020163297862367, -0.0012868930126345253, 0.002563696140483594, 0.0057135057502155214, -0.005329683455463287, -0.00029839298795484876, -0.0010434204344895543, 0.0006261965458749663, -0.00032302829543291424 ], [ 0.00019294961536490398, -0.0006041840842297932, -0.0018027637288922141, -0.00006997150038375076, 0.0008891226852547472, 0.0009396189025844717, -0.0003334786272140589, -0.0008104538612744295, 0.0002964899089716133 ] ]

DPR9HjxK38GJgSDrun25hG7

{"aspect_ratio": 6.628258884781457, "major_radius": 1.0, "max_elongation": 5.782641475243582, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.41454645777315985, 0.2637815563443017, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.7055862725800937, 0.7056141337209382, 0.705850971612725, 0.706554914839124, 0.7079837952443119, 0.710374546767634, 0.7139334765575286, 0.7188312394811545, 0.7252004814141816, 0.7331351967119105, 0.7426912667519002, 0.7538878468885761, 0.7667093773323597, 0.7811080573063243, 0.7970066621318812, 0.814301609706103, 0.8328662014410102, 0.8525539761050875, 0.8732021248953302, 0.8946349235610945, 0.9166671431974078, 0.9391074058886755, 0.9617614550300844, 0.9844353131043587, 1.0069383021034066, 1.029085903772189, 1.0507024385000165, 1.0716235430551717, 1.0916984284992137, 1.1107919005628601, 1.1287861255421148, 1.1455821254003868, 1.1611009862526869, 1.1752847647692573, 1.1880970772707256, 1.1995233563922334, 1.2095707601610797, 1.2182677181446495, 1.22566309895614, 1.2318249828138153, 1.2368390219728589, 1.2408063705917338, 1.243841163807558, 1.2460675232348115, 1.247616062358642, 1.2486198596344464, 1.249209858117887, 1.2495096351460817, 1.2496294567450863, 1.2496594676612345, 1.249661676263924], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7842317900555953}

6.628259

1

5.782641

[ [ 0.7055862725800937, 0.7056141337209382, 0.705850971612725, 0.706554914839124, 0.7079837952443119, 0.710374546767634, 0.7139334765575286, 0.7188312394811545, 0.7252004814141816, 0.7331351967119105, 0.7426912667519002, 0.7538878468885761, 0.7667093773323597, 0.7811080573063243, 0.7970066621318812, 0.814301609706103, 0.8328662014410102, 0.8525539761050875, 0.8732021248953302, 0.8946349235610945, 0.9166671431974078, 0.9391074058886755, 0.9617614550300844, 0.9844353131043587, 1.0069383021034066, 1.029085903772189, 1.0507024385000165, 1.0716235430551717, 1.0916984284992137, 1.1107919005628601, 1.1287861255421148, 1.1455821254003868, 1.1611009862526869, 1.1752847647692573, 1.1880970772707256, 1.1995233563922334, 1.2095707601610797, 1.2182677181446495, 1.22566309895614, 1.2318249828138153, 1.2368390219728589, 1.2408063705917338, 1.243841163807558, 1.2460675232348115, 1.247616062358642, 1.2486198596344464, 1.249209858117887, 1.2495096351460817, 1.2496294567450863, 1.2496594676612345, 1.249661676263924 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.41454645777315985, 0.2637815563443017, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.784232

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DTjLUwzJ9yefZBQ6uXU9Nsp

null

false

null

false

DVb6VMG6NbnXBHJkPoJGNQh

D6A9WtsUyZrz9XnXSr79sgg

{"qi": 0.02064035232736072, "vacuum_well": -0.12318037027442606, "aspect_ratio": 10.009294281981063, "max_elongation": 4.2370162188458425, "average_triangularity": -0.24382411880162635, "axis_magnetic_mirror_ratio": 0.11712062393480699, "edge_magnetic_mirror_ratio": 0.1476661087865946, "aspect_ratio_over_edge_rotational_transform": 19.7064253954737, "flux_compression_in_regions_of_bad_curvature": 1.1367503135329646, "axis_rotational_transform_over_n_field_periods": 0.12276797286311703, "edge_rotational_transform_over_n_field_periods": 0.10158406794851857, "minimum_normalized_magnetic_gradient_scale_length": 11.05868420096962}

10.009294

19.706425

-0.665902

0.117121

0.122768

0.147666

0.101584

1.13675

4.237016

11.058684

0.02064

-0.12318

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.008093962242732261,-0.008734600040909979,-0.0014610131798681886,0.0001359207766758186],[0.0001980714125201514,0.00026447438496426186,-0.0015121439170773584,-0.04730715890476523,0.07632924970130789,0.022521559452061322,-0.002269819723945569,-0.00021517459851311697,-0.000022724283310836957],[-0.00017006314511836974,-0.0011105046221413237,-0.0008316509664779315,0.020183541419626725,-0.026264077852104314,0.0004197973753589275,-0.00037129110630460004,0.0005613199629459322,0.000020775240219231744],[-0.00012511283295186165,0.0005160511030840605,0.002480155438153578,-0.006060677058590748,0.008045315831827233,-0.00168630660840083,0.00015503436824052495,-0.0000820219333412982,-0.00001510165146913236],[0.00004301748278788992,0.00027810600197328115,-0.0008717419045017402,0.00245981464376668,-0.002351198064734241,0.00023286274636349392,-2.8463936047038764e-6,-3.6606221046021556e-6,9.053691845411716e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.029486335484907696,0.0006800785213255936,0.0005672110524170601,0.00014801466229708363],[0.0003454835369374999,0.00017925138545174613,0.0011022759108526878,-0.029052867513408902,-0.1581862913139675,0.006705219353498841,0.00039201786438588674,0.00017376966793287987,0.00023904342971340725],[-0.00015218407132453873,-0.0006410829618610145,-0.006893243775031959,0.0183583477191713,0.0017100928420261544,-0.005805502910235471,-0.0005371584675317453,-0.0006202520114435737,-0.00003884201477218151],[0.0000420561848682775,0.0002556166005343822,0.0033619283250438405,-0.006376972304697731,0.0013595256036762259,-0.00010022654360438994,-0.00006588752559278039,0.00007134669513404966,0.0000616411812916569],[0.000051275670514155605,0.00012979353280345805,-0.0009580720628490294,0.00040515530857670263,0.0005832760506370282,-0.00008194778379540824,0.00006205557573020894,-0.000023147301557561427,0.00001131719712212773]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.008093962242732261, -0.008734600040909979, -0.0014610131798681886, 0.0001359207766758186 ], [ 0.0001980714125201514, 0.00026447438496426186, -0.0015121439170773584, -0.04730715890476523, 0.07632924970130789, 0.022521559452061322, -0.002269819723945569, -0.00021517459851311697, -0.000022724283310836957 ], [ -0.00017006314511836974, -0.0011105046221413237, -0.0008316509664779315, 0.020183541419626725, -0.026264077852104314, 0.0004197973753589275, -0.00037129110630460004, 0.0005613199629459322, 0.000020775240219231744 ], [ -0.00012511283295186165, 0.0005160511030840605, 0.002480155438153578, -0.006060677058590748, 0.008045315831827233, -0.00168630660840083, 0.00015503436824052495, -0.0000820219333412982, -0.00001510165146913236 ], [ 0.00004301748278788992, 0.00027810600197328115, -0.0008717419045017402, 0.00245981464376668, -0.002351198064734241, 0.00023286274636349392, -0.0000028463936047038764, -0.0000036606221046021556, 0.000009053691845411716 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.029486335484907696, 0.0006800785213255936, 0.0005672110524170601, 0.00014801466229708363 ], [ 0.0003454835369374999, 0.00017925138545174613, 0.0011022759108526878, -0.029052867513408902, -0.1581862913139675, 0.006705219353498841, 0.00039201786438588674, 0.00017376966793287987, 0.00023904342971340725 ], [ -0.00015218407132453873, -0.0006410829618610145, -0.006893243775031959, 0.0183583477191713, 0.0017100928420261544, -0.005805502910235471, -0.0005371584675317453, -0.0006202520114435737, -0.00003884201477218151 ], [ 0.0000420561848682775, 0.0002556166005343822, 0.0033619283250438405, -0.006376972304697731, 0.0013595256036762259, -0.00010022654360438994, -0.00006588752559278039, 0.00007134669513404966, 0.0000616411812916569 ], [ 0.000051275670514155605, 0.00012979353280345805, -0.0009580720628490294, 0.00040515530857670263, 0.0005832760506370282, -0.00008194778379540824, 0.00006205557573020894, -0.000023147301557561427, 0.00001131719712212773 ] ]

D6BWWRmhWpv6ebU8MNKbvFx

{"aspect_ratio": 9.553496103991188, "major_radius": 1.0, "max_elongation": 4.0444899663114295, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.033780971209097815, 0.5586612755249115, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.9297102403233518, 0.9297102535970726, 0.9297105965304473, 0.9297126583086861, 0.9297195878921504, 0.9297367795593438, 0.9297722154123704, 0.9298366916735282, 0.929943944527097, 0.9301106864042293, 0.9303565609927754, 0.9307040236771053, 0.9311781530937112, 0.9318063987996259, 0.932618269573421, 0.933644966535466, 0.9349189650450077, 0.9364735491815974, 0.9383423025317962, 0.940558558969172, 0.9431548171306683, 0.9461621223527265, 0.9496094199357533, 0.9535228837574199, 0.9579252244577278, 0.9628349816779261, 0.9682658051599455, 0.9742257299150151, 0.9807164511656481, 0.9877326053757575, 0.9952610644382214, 1.00328025102682, 1.0117594842934816, 1.0206583665760638, 1.029926223680231, 1.0395016137598765, 1.049311923060647, 1.0592730711339318, 1.0692893540695267, 1.0792534626148316, 1.089046724019079, 1.0985396342161857, 1.1075927743509215, 1.1160582497723683, 1.1237818646094422, 1.1306063813304263, 1.136376484600445, 1.1409466686411731, 1.144194840752498, 1.1460498349303867, 1.1465762845669014], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5635177164381372}

9.553496

1

4.04449

[ [ 0.9297102403233518, 0.9297102535970726, 0.9297105965304473, 0.9297126583086861, 0.9297195878921504, 0.9297367795593438, 0.9297722154123704, 0.9298366916735282, 0.929943944527097, 0.9301106864042293, 0.9303565609927754, 0.9307040236771053, 0.9311781530937112, 0.9318063987996259, 0.932618269573421, 0.933644966535466, 0.9349189650450077, 0.9364735491815974, 0.9383423025317962, 0.940558558969172, 0.9431548171306683, 0.9461621223527265, 0.9496094199357533, 0.9535228837574199, 0.9579252244577278, 0.9628349816779261, 0.9682658051599455, 0.9742257299150151, 0.9807164511656481, 0.9877326053757575, 0.9952610644382214, 1.00328025102682, 1.0117594842934816, 1.0206583665760638, 1.029926223680231, 1.0395016137598765, 1.049311923060647, 1.0592730711339318, 1.0692893540695267, 1.0792534626148316, 1.089046724019079, 1.0985396342161857, 1.1075927743509215, 1.1160582497723683, 1.1237818646094422, 1.1306063813304263, 1.136376484600445, 1.1409466686411731, 1.144194840752498, 1.1460498349303867, 1.1465762845669014 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.033780971209097815, 0.5586612755249115, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.563518

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D78AA6Bbtf3XMPK4VYoQ4KK

null

false

null

false

DG227VaRAjJcpiTBuFTeuDG

DdUkpwPFaSLck6xfgJYLw2r

{"qi": 0.0014695560132459502, "vacuum_well": -0.14275017094479428, "aspect_ratio": 9.707351362410295, "max_elongation": 7.315488188914584, "average_triangularity": -0.5186777405432829, "axis_magnetic_mirror_ratio": 0.3668598285799002, "edge_magnetic_mirror_ratio": 0.383800454529204, "aspect_ratio_over_edge_rotational_transform": 24.363418839927984, "flux_compression_in_regions_of_bad_curvature": 1.4321414143400089, "axis_rotational_transform_over_n_field_periods": 0.11411955307855952, "edge_rotational_transform_over_n_field_periods": 0.09960990518396995, "minimum_normalized_magnetic_gradient_scale_length": 5.353458916444991}

9.707351

24.363419

-0.864754

0.36686

0.11412

0.3838

0.09961

1.432141

7.315488

5.353459

0.00147

-0.14275

{"r_cos":[[0.0,0.0,0.0,0.0,0.9994066099075644,0.009249406719929966,-0.00889307153617299,-0.00010501075682141024,-0.00004624761023888299],[-0.0030052906697895384,-0.00882429472982067,-0.02744428020092357,-0.04009083464676559,0.11282695773622661,0.012788558798946664,-0.012628404253757124,0.0030342857108171736,-0.0016870657769999134],[-0.0010276802881487347,-0.003960005969729369,-0.004857317191502501,-0.008862365780474129,-0.006869682040554618,0.0025876211067131145,0.001958492668270278,0.0007820456175772986,-0.0005501684411709859],[-0.00005434470734736379,-0.0009509878599793563,-0.0019010047580681312,-0.0007071855746624909,0.0017761881657692615,-0.002900215124176277,0.0011351545102838974,-0.000030017350898216104,-0.000060629430667452884],[-0.00005686720028459709,0.00032324651755525155,-0.0002999319001218039,0.00022612054828826525,0.0010111187554943189,-0.0006356585210201045,0.0003910169482110294,-0.00021044714561621033,0.000075961998812299]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06539128123773555,0.0037902537933016756,0.0009587745485252945,-0.000260319555864896],[-0.0014956136177730612,-0.002382947779258346,-0.008321063228770327,-0.10165440298664537,-0.1474469539455365,0.07531261579255762,-0.012467626664944375,-0.000603278273181905,0.0006855553179825036],[-0.0006113709692089416,-0.000521981272492031,0.007183894657231647,0.010010253315921775,-0.03708467574396673,0.015489780332139654,-0.006250032846228045,0.001444560547089508,-0.0003022063820433947],[-0.0004159199353546424,-0.00028697537916688335,0.0020735779564502893,0.0028396599954669307,-0.0027235476442906905,0.00395941718970144,-0.00194624443548128,0.0003398187489834723,-0.00007608946022225979],[-0.00027187925885871435,-0.000685635220314766,0.0000855808935678212,-0.000405652422333302,0.0010825411280523918,-0.0009646222733894611,0.0005404612157872111,-0.00012052567716293327,-0.00004073911345529155]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9994066099075644, 0.009249406719929966, -0.00889307153617299, -0.00010501075682141024, -0.00004624761023888299 ], [ -0.0030052906697895384, -0.00882429472982067, -0.02744428020092357, -0.04009083464676559, 0.11282695773622661, 0.012788558798946664, -0.012628404253757124, 0.0030342857108171736, -0.0016870657769999134 ], [ -0.0010276802881487347, -0.003960005969729369, -0.004857317191502501, -0.008862365780474129, -0.006869682040554618, 0.0025876211067131145, 0.001958492668270278, 0.0007820456175772986, -0.0005501684411709859 ], [ -0.00005434470734736379, -0.0009509878599793563, -0.0019010047580681312, -0.0007071855746624909, 0.0017761881657692615, -0.002900215124176277, 0.0011351545102838974, -0.000030017350898216104, -0.000060629430667452884 ], [ -0.00005686720028459709, 0.00032324651755525155, -0.0002999319001218039, 0.00022612054828826525, 0.0010111187554943189, -0.0006356585210201045, 0.0003910169482110294, -0.00021044714561621033, 0.000075961998812299 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06539128123773555, 0.0037902537933016756, 0.0009587745485252945, -0.000260319555864896 ], [ -0.0014956136177730612, -0.002382947779258346, -0.008321063228770327, -0.10165440298664537, -0.1474469539455365, 0.07531261579255762, -0.012467626664944375, -0.000603278273181905, 0.0006855553179825036 ], [ -0.0006113709692089416, -0.000521981272492031, 0.007183894657231647, 0.010010253315921775, -0.03708467574396673, 0.015489780332139654, -0.006250032846228045, 0.001444560547089508, -0.0003022063820433947 ], [ -0.0004159199353546424, -0.00028697537916688335, 0.0020735779564502893, 0.0028396599954669307, -0.0027235476442906905, 0.00395941718970144, -0.00194624443548128, 0.0003398187489834723, -0.00007608946022225979 ], [ -0.00027187925885871435, -0.000685635220314766, 0.0000855808935678212, -0.000405652422333302, 0.0010825411280523918, -0.0009646222733894611, 0.0005404612157872111, -0.00012052567716293327, -0.00004073911345529155 ] ]

DMnQPMZ2eoPmc68eiQysJfB

{"aspect_ratio": 10.21048498811751, "major_radius": 1.0, "max_elongation": 6.589209880026169, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.21262351760641884, -0.40163264521693914, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.7453174342735723, 0.7453174483570394, 0.745317909162892, 0.7453211196126035, 0.7453331037968163, 0.7453653385486301, 0.7454362874083611, 0.7455727092778229, 0.7458107258581097, 0.7461966379140655, 0.746787484033187, 0.7476513380262372, 0.7488673429614314, 0.7505254812902945, 0.7527260817549379, 0.7555790648513002, 0.7592029296186323, 0.7637234854731961, 0.7692723337351528, 0.7759851044379782, 0.7839994549828722, 0.7934528382292986, 0.8044800487207013, 0.8172105569577424, 0.8317656429801709, 0.8482553420385794, 0.8667752168727342, 0.8874029731188451, 0.9101949367139918, 0.9351824149424324, 0.9623679660945907, 0.9917216067436221, 1.0231769906013815, 1.0566275990908944, 1.0919229915803204, 1.1288651732552988, 1.1672051517250581, 1.2066397709501802, 1.2468089349187248, 1.2872933667941857, 1.3276130970897442, 1.3672269453957657, 1.405533369567725, 1.4418732326284074, 1.475535337920835, 1.5057661302835679, 1.5317860490239377, 1.5528174495891012, 1.568135435447371, 1.577175247589682, 1.5798793677599805], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4402493836893194}

10.210485

1

6.58921

[ [ 0.7453174342735723, 0.7453174483570394, 0.745317909162892, 0.7453211196126035, 0.7453331037968163, 0.7453653385486301, 0.7454362874083611, 0.7455727092778229, 0.7458107258581097, 0.7461966379140655, 0.746787484033187, 0.7476513380262372, 0.7488673429614314, 0.7505254812902945, 0.7527260817549379, 0.7555790648513002, 0.7592029296186323, 0.7637234854731961, 0.7692723337351528, 0.7759851044379782, 0.7839994549828722, 0.7934528382292986, 0.8044800487207013, 0.8172105569577424, 0.8317656429801709, 0.8482553420385794, 0.8667752168727342, 0.8874029731188451, 0.9101949367139918, 0.9351824149424324, 0.9623679660945907, 0.9917216067436221, 1.0231769906013815, 1.0566275990908944, 1.0919229915803204, 1.1288651732552988, 1.1672051517250581, 1.2066397709501802, 1.2468089349187248, 1.2872933667941857, 1.3276130970897442, 1.3672269453957657, 1.405533369567725, 1.4418732326284074, 1.475535337920835, 1.5057661302835679, 1.5317860490239377, 1.5528174495891012, 1.568135435447371, 1.577175247589682, 1.5798793677599805 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.21262351760641884, -0.40163264521693914, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.440249

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DNupV5Zj9pUBCfLNH2mcWRh

null

false

null

false

Df2HeuB4p6mDos28jwR9XPh

DW8uzCG8fPFYG7BueJJkfMq

{"qi": 0.0038885449321782043, "vacuum_well": -0.09083679009670893, "aspect_ratio": 9.762901937418617, "max_elongation": 4.634294104326335, "average_triangularity": -0.37062206870356224, "axis_magnetic_mirror_ratio": 0.2779468314899263, "edge_magnetic_mirror_ratio": 0.32246261835505197, "aspect_ratio_over_edge_rotational_transform": 18.80415981437126, "flux_compression_in_regions_of_bad_curvature": 1.0059569240720976, "axis_rotational_transform_over_n_field_periods": 0.23506765192970736, "edge_rotational_transform_over_n_field_periods": 0.2595942077124133, "minimum_normalized_magnetic_gradient_scale_length": 1.9113105635010808}

9.762902

18.80416

-0.435465

0.277947

0.235068

0.322463

0.259594

1.005957

4.634294

1.911311

0.003889

-0.090837

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.017282299216811986,-0.07389399116562685,-0.009574808729617388,0.006725846860173729],[-0.0012728146338052923,-0.012110272261697372,0.04811103964782015,-0.023207317745598515,0.0896666313706711,-0.016023906287626215,-0.002687318440186017,-0.002367336459417488,0.001394298253465176],[0.000704455537101576,-0.0028004378158335815,-0.0047618977046263375,-0.010310327888957539,-0.006992503404227452,0.0067608323860451364,-0.00131050062586383,-0.0012405847247393088,0.00034208015431279695],[-0.0009573468864773971,0.0006753836606132325,-0.0010547982078738132,0.00330262355828234,-0.0097463930499835,0.004944136612443842,-0.0003652284883765005,-0.0009598193309081263,-0.00025143966589262484],[0.00025257691056193614,-0.00026663465934892287,0.0002839601870198329,0.0008956256005915042,-0.001739623954120085,0.0006182600570984499,-0.00012513037545207545,-0.000014193540866050533,-0.00011725878081340516]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.050440935741365,0.02362580713025306,0.00577383238066895,-0.0051248201868909875],[-0.0034131633691994135,-0.008818921559018807,0.05278519766757882,0.00017507559998448333,-0.13823042366534669,-0.003266316125517963,0.012130832172892042,-0.00005515899570682735,-0.0014500268992838853],[0.0008905801693782613,-0.00241241866999143,-0.00937238710474048,0.018950050718941985,-0.0022357575619378063,-0.01937713195867647,0.0023801601801128895,0.002071232918562405,-0.0005757256833539649],[-0.0015516994673802444,0.0031196152848070547,0.0015128203134558366,0.008580027333194438,0.010506640164855667,-0.00996019992097506,-0.0021282890679606256,0.0014838587264647209,0.0003270636471068253],[0.0005466041314680955,-0.0006503296650343634,0.0021938367626127935,0.0007280852787120006,0.0020240595057875246,-0.000520307859534008,-0.00043509008445031746,0.00007132510379474581,0.0002126816573041671]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.017282299216811986, -0.07389399116562685, -0.009574808729617388, 0.006725846860173729 ], [ -0.0012728146338052923, -0.012110272261697372, 0.04811103964782015, -0.023207317745598515, 0.0896666313706711, -0.016023906287626215, -0.002687318440186017, -0.002367336459417488, 0.001394298253465176 ], [ 0.000704455537101576, -0.0028004378158335815, -0.0047618977046263375, -0.010310327888957539, -0.006992503404227452, 0.0067608323860451364, -0.00131050062586383, -0.0012405847247393088, 0.00034208015431279695 ], [ -0.0009573468864773971, 0.0006753836606132325, -0.0010547982078738132, 0.00330262355828234, -0.0097463930499835, 0.004944136612443842, -0.0003652284883765005, -0.0009598193309081263, -0.00025143966589262484 ], [ 0.00025257691056193614, -0.00026663465934892287, 0.0002839601870198329, 0.0008956256005915042, -0.001739623954120085, 0.0006182600570984499, -0.00012513037545207545, -0.000014193540866050533, -0.00011725878081340516 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.050440935741365, 0.02362580713025306, 0.00577383238066895, -0.0051248201868909875 ], [ -0.0034131633691994135, -0.008818921559018807, 0.05278519766757882, 0.00017507559998448333, -0.13823042366534669, -0.003266316125517963, 0.012130832172892042, -0.00005515899570682735, -0.0014500268992838853 ], [ 0.0008905801693782613, -0.00241241866999143, -0.00937238710474048, 0.018950050718941985, -0.0022357575619378063, -0.01937713195867647, 0.0023801601801128895, 0.002071232918562405, -0.0005757256833539649 ], [ -0.0015516994673802444, 0.0031196152848070547, 0.0015128203134558366, 0.008580027333194438, 0.010506640164855667, -0.00996019992097506, -0.0021282890679606256, 0.0014838587264647209, 0.0003270636471068253 ], [ 0.0005466041314680955, -0.0006503296650343634, 0.0021938367626127935, 0.0007280852787120006, 0.0020240595057875246, -0.000520307859534008, -0.00043509008445031746, 0.00007132510379474581, 0.0002126816573041671 ] ]

D2zoMVhgckrAr8xB3ZJhpqX

{"aspect_ratio": 10.120703009932202, "major_radius": 1.0, "max_elongation": 5.886919397049309, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.22774078570209214, -0.3852060187193476, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.7423884962439875, 0.7423885631408219, 0.7423906255879237, 0.7424042910740022, 0.7424530002482207, 0.7425783698427922, 0.7428427083137012, 0.7433298658860706, 0.7441446103483563, 0.7454107304760211, 0.747268071289986, 0.7498687032576308, 0.7533724227167307, 0.757941774118555, 0.7637367766412133, 0.7709095286192115, 0.7795988532614958, 0.7899251384133168, 0.8019855117400181, 0.8158494807277044, 0.8315551543405518, 0.849106150065802, 0.8684692764212945, 0.8895730667923091, 0.9123072256903655, 0.9365230331629244, 0.9620347370964025, 0.9886219465016303, 1.016033021494915, 1.0439894375190208, 1.0721910822992355, 1.100322423991398, 1.128059467815412, 1.1550773960082652, 1.1810587619577497, 1.2057020836127477, 1.228730653344062, 1.2499013508687984, 1.2690132119988942, 1.285915467929026, 1.3005147262624372, 1.3127809141175844, 1.3227515426387837, 1.3305337765966665, 1.336303695131969, 1.3403019970830186, 1.3428252120670472, 1.3442111747371928, 1.3448169794671117, 1.3449864845611406, 1.345001026478489], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3756220727770413}

10.120703

1

5.886919

[ [ 0.7423884962439875, 0.7423885631408219, 0.7423906255879237, 0.7424042910740022, 0.7424530002482207, 0.7425783698427922, 0.7428427083137012, 0.7433298658860706, 0.7441446103483563, 0.7454107304760211, 0.747268071289986, 0.7498687032576308, 0.7533724227167307, 0.757941774118555, 0.7637367766412133, 0.7709095286192115, 0.7795988532614958, 0.7899251384133168, 0.8019855117400181, 0.8158494807277044, 0.8315551543405518, 0.849106150065802, 0.8684692764212945, 0.8895730667923091, 0.9123072256903655, 0.9365230331629244, 0.9620347370964025, 0.9886219465016303, 1.016033021494915, 1.0439894375190208, 1.0721910822992355, 1.100322423991398, 1.128059467815412, 1.1550773960082652, 1.1810587619577497, 1.2057020836127477, 1.228730653344062, 1.2499013508687984, 1.2690132119988942, 1.285915467929026, 1.3005147262624372, 1.3127809141175844, 1.3227515426387837, 1.3305337765966665, 1.336303695131969, 1.3403019970830186, 1.3428252120670472, 1.3442111747371928, 1.3448169794671117, 1.3449864845611406, 1.345001026478489 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.22774078570209214, -0.3852060187193476, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.375622

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DiuUdY2mSszYQTtSbySv6Yq

null

false

null

false

DZSS3LsvpCmL9vj2f88BjHb

Daxd7h2Dwbw8TuDuDiEHXqK

{"qi": 0.017554650441785908, "vacuum_well": -0.10449282015311721, "aspect_ratio": 9.968491616462385, "max_elongation": 4.371354383795868, "average_triangularity": -0.5427163076730916, "axis_magnetic_mirror_ratio": 0.09442594240140739, "edge_magnetic_mirror_ratio": 0.16479601055716842, "aspect_ratio_over_edge_rotational_transform": 12.82112028742517, "flux_compression_in_regions_of_bad_curvature": 1.3041257693575132, "axis_rotational_transform_over_n_field_periods": 0.24685594343600947, "edge_rotational_transform_over_n_field_periods": 0.25916850199742647, "minimum_normalized_magnetic_gradient_scale_length": 6.483879593763893}

9.968492

12.82112

-0.812987

0.094426

0.246856

0.164796

0.259169

1.304126

4.371354

6.48388

0.017555

-0.104493

{"r_cos":[[0.0,0.0,0.0,0.0,0.9989574120541145,-0.034826163309327605,-0.02663394273662441,0.0010666681150749023,0.0004013665426841122],[-0.0008261773276665447,0.002561248696166564,0.017218746627808746,-0.04277530423933007,0.10883248310595701,-0.02692148059380184,-0.00007858988921821339,0.00039778532961577164,-0.00008386471567371046],[-0.00003520468573767926,-0.002989682493945397,-0.01568038687049933,-0.004971549728472638,-0.013459732340595738,0.006400326066008309,-0.0030733504965435752,0.0009114031648598674,-0.00003139797688445571],[-0.00004357991201812777,0.0001920215499989784,0.0009250057658422325,-0.006691571539280891,-0.0017256962563718444,0.0004540376612072682,0.0003354996106177608,0.00008759524401958072,-0.00003218401772570283],[0.00013496437675488982,0.0002900583642963544,-0.00043260447668140974,-0.00037484245328532704,-0.0006443873359054373,-0.00005257537073075167,0.00011716809312690074,0.000031943525545522346,-0.000015886938329334984]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.13374252661062422,0.02074251018095296,0.001122712555565497,-0.00009367689426804762],[-0.0005157011196342563,0.0003034447242411029,0.009211650886293856,-0.08686201071057398,-0.12379308195734168,0.03263155555182169,-0.003977229489405116,0.0005800341968264597,-0.00011452774944448662],[0.000011063247082976738,-0.0024113877426989025,-0.009257911927470178,-0.002528370121469888,-0.006387766696890215,0.0019453390170596455,0.0020434246372761367,-0.0007429961348604908,0.00011718479608260443],[-0.00008885749252485473,-0.00011541205330659423,-0.000030474851919535452,0.0018686783653101226,-0.001066965224511573,0.0008987762167334283,-0.0002000478481020658,-0.00024278706203994204,0.00006203849625824601],[0.00003874283215513736,-0.000041855377144894685,0.0001401085007665096,0.00005154372112890082,0.00007304047230886488,0.00038529983034638754,-0.00012486816627121732,-6.236383298059822e-6,8.570284121592418e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9989574120541145, -0.034826163309327605, -0.02663394273662441, 0.0010666681150749023, 0.0004013665426841122 ], [ -0.0008261773276665447, 0.002561248696166564, 0.017218746627808746, -0.04277530423933007, 0.10883248310595701, -0.02692148059380184, -0.00007858988921821339, 0.00039778532961577164, -0.00008386471567371046 ], [ -0.00003520468573767926, -0.002989682493945397, -0.01568038687049933, -0.004971549728472638, -0.013459732340595738, 0.006400326066008309, -0.0030733504965435752, 0.0009114031648598674, -0.00003139797688445571 ], [ -0.00004357991201812777, 0.0001920215499989784, 0.0009250057658422325, -0.006691571539280891, -0.0017256962563718444, 0.0004540376612072682, 0.0003354996106177608, 0.00008759524401958072, -0.00003218401772570283 ], [ 0.00013496437675488982, 0.0002900583642963544, -0.00043260447668140974, -0.00037484245328532704, -0.0006443873359054373, -0.00005257537073075167, 0.00011716809312690074, 0.000031943525545522346, -0.000015886938329334984 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.13374252661062422, 0.02074251018095296, 0.001122712555565497, -0.00009367689426804762 ], [ -0.0005157011196342563, 0.0003034447242411029, 0.009211650886293856, -0.08686201071057398, -0.12379308195734168, 0.03263155555182169, -0.003977229489405116, 0.0005800341968264597, -0.00011452774944448662 ], [ 0.000011063247082976738, -0.0024113877426989025, -0.009257911927470178, -0.002528370121469888, -0.006387766696890215, 0.0019453390170596455, 0.0020434246372761367, -0.0007429961348604908, 0.00011718479608260443 ], [ -0.00008885749252485473, -0.00011541205330659423, -0.000030474851919535452, 0.0018686783653101226, -0.001066965224511573, 0.0008987762167334283, -0.0002000478481020658, -0.00024278706203994204, 0.00006203849625824601 ], [ 0.00003874283215513736, -0.000041855377144894685, 0.0001401085007665096, 0.00005154372112890082, 0.00007304047230886488, 0.00038529983034638754, -0.00012486816627121732, -0.000006236383298059822, 0.000008570284121592418 ] ]

DLNT2scS8rAXepqChF5696x

{"aspect_ratio": 10.843597887922886, "major_radius": 1.0, "max_elongation": 4.1805544295015995, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.03131022532956306, 0.4828645239650162, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.8857817701637013, 0.8857817921263935, 0.8857826482650831, 0.8857891411064116, 0.8858144034519998, 0.8858834690815484, 0.8860354693336593, 0.8863243239813163, 0.8868179936533112, 0.8875964674426098, 0.8887487174948621, 0.8903688809258328, 0.8925519381805241, 0.8953891518156556, 0.8989635145517684, 0.9033454330512608, 0.9085888462826281, 0.9147279461200503, 0.921774634278734, 0.9297168148541708, 0.9385175865070708, 0.9481153634795562, 0.9584249208094286, 0.9693393269178427, 0.9807326967087815, 0.9924636709118779, 1.0043795030555762, 1.016320614570656, 1.0281254614581659, 1.03963554304624, 1.0507003749176953, 1.061182244402769, 1.0709605683663437, 1.0799356796245834, 1.0880318804317928, 1.0951996192960443, 1.1014166711051714, 1.1066882303475698, 1.1110458632490783, 1.1145453070493014, 1.1172631535124853, 1.1192925091807573, 1.120737786859331, 1.1217088513431968, 1.1223148173356297, 1.122657878619212, 1.1228276343435377, 1.1228964699003046, 1.1229166445206538, 1.1229198316142617, 1.1229199403535608], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7545871811173671}

10.843598

1

4.180554

[ [ 0.8857817701637013, 0.8857817921263935, 0.8857826482650831, 0.8857891411064116, 0.8858144034519998, 0.8858834690815484, 0.8860354693336593, 0.8863243239813163, 0.8868179936533112, 0.8875964674426098, 0.8887487174948621, 0.8903688809258328, 0.8925519381805241, 0.8953891518156556, 0.8989635145517684, 0.9033454330512608, 0.9085888462826281, 0.9147279461200503, 0.921774634278734, 0.9297168148541708, 0.9385175865070708, 0.9481153634795562, 0.9584249208094286, 0.9693393269178427, 0.9807326967087815, 0.9924636709118779, 1.0043795030555762, 1.016320614570656, 1.0281254614581659, 1.03963554304624, 1.0507003749176953, 1.061182244402769, 1.0709605683663437, 1.0799356796245834, 1.0880318804317928, 1.0951996192960443, 1.1014166711051714, 1.1066882303475698, 1.1110458632490783, 1.1145453070493014, 1.1172631535124853, 1.1192925091807573, 1.120737786859331, 1.1217088513431968, 1.1223148173356297, 1.122657878619212, 1.1228276343435377, 1.1228964699003046, 1.1229166445206538, 1.1229198316142617, 1.1229199403535608 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.03131022532956306, 0.4828645239650162, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.754587

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D9GAzY5KxniMfjCrrdM56Z6

null

false

null

false

DKpeKudMRVmoYRqPshoNWjM

DbMPtpxAJjKZjrNTuYGRwnq

{"qi": 0.04273539321640748, "vacuum_well": -0.18698082767351615, "aspect_ratio": 9.933370934376049, "max_elongation": 4.603143295189589, "average_triangularity": 0.16568812704959002, "axis_magnetic_mirror_ratio": 0.12919683818511118, "edge_magnetic_mirror_ratio": 0.30850058483417175, "aspect_ratio_over_edge_rotational_transform": 10.197111231901019, "flux_compression_in_regions_of_bad_curvature": 0.9892659897348239, "axis_rotational_transform_over_n_field_periods": 0.15247048772449306, "edge_rotational_transform_over_n_field_periods": 0.3247119276715718, "minimum_normalized_magnetic_gradient_scale_length": 0.7199396696823392}

9.933371

10.197111

0.022628

0.129197

0.15247

0.308501

0.324712

0.989266

4.603143

0.71994

0.042735

-0.186981

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.1769580419940651,-0.021487780678641263,0.018101107373698383,-0.0032250853267173415],[0.001782681686357965,-0.0077780712684333685,0.030461769205675768,-0.023817036206715176,0.10767749801348944,-0.013071828896551976,-0.0025399145613900515,-0.0006451855611928313,0.00188791955959227],[-0.001188262093379825,0.012730898312545536,0.012492795869016918,-0.0018988461958006982,0.007280419121460654,0.002701966059541746,0.000334975320554879,-3.0171537668466017e-6,0.000017922948521805772],[0.0010235056248712392,-0.0010092648176595557,-0.006581367144674288,-0.006243941408526733,0.0019959418512740072,0.00036045124569200355,-0.0003661717416778335,-0.0005039243359141535,-0.00005799939180809642],[-0.0005861442007243543,0.0005767560377827686,-0.0012578800733655947,-0.00032034214140787623,0.0002903355710205177,-0.00008958542773273605,0.00004435622856993745,2.2323793497881425e-6,-6.757185286894148e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06865178098641116,0.03539659523517461,-0.015515522003874455,0.002442308292894723],[0.0024703328558912173,-0.01098870568015608,0.046271063725621245,-0.012246056288240057,-0.11484407574580542,0.016434572801750168,-0.00018700708427201243,0.0027978924499080862,-0.0021199044911595004],[-0.001811849801691353,0.022207101114594653,-0.006837812207330162,-0.03376385883073971,0.0052976796076607555,0.0004150582881077905,0.0008056970580803129,-0.001774912968097734,0.00012312418525672463],[0.00211977668600818,-0.005562486196108786,-0.0021639760014794335,0.011044230824365545,-0.0005249430183132404,-0.0020733084287819867,0.00020871631196888504,0.00044918293791656625,-0.00002405044531593372],[0.0006632951121514951,-0.0005608723610906431,0.0002847031291797787,0.0017472870484564044,-0.000822604177842367,-0.000027562923819673176,0.000045519435180187834,0.000030337570625829538,0.00001280064220913037]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.1769580419940651, -0.021487780678641263, 0.018101107373698383, -0.0032250853267173415 ], [ 0.001782681686357965, -0.0077780712684333685, 0.030461769205675768, -0.023817036206715176, 0.10767749801348944, -0.013071828896551976, -0.0025399145613900515, -0.0006451855611928313, 0.00188791955959227 ], [ -0.001188262093379825, 0.012730898312545536, 0.012492795869016918, -0.0018988461958006982, 0.007280419121460654, 0.002701966059541746, 0.000334975320554879, -0.0000030171537668466017, 0.000017922948521805772 ], [ 0.0010235056248712392, -0.0010092648176595557, -0.006581367144674288, -0.006243941408526733, 0.0019959418512740072, 0.00036045124569200355, -0.0003661717416778335, -0.0005039243359141535, -0.00005799939180809642 ], [ -0.0005861442007243543, 0.0005767560377827686, -0.0012578800733655947, -0.00032034214140787623, 0.0002903355710205177, -0.00008958542773273605, 0.00004435622856993745, 0.0000022323793497881425, -0.000006757185286894148 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06865178098641116, 0.03539659523517461, -0.015515522003874455, 0.002442308292894723 ], [ 0.0024703328558912173, -0.01098870568015608, 0.046271063725621245, -0.012246056288240057, -0.11484407574580542, 0.016434572801750168, -0.00018700708427201243, 0.0027978924499080862, -0.0021199044911595004 ], [ -0.001811849801691353, 0.022207101114594653, -0.006837812207330162, -0.03376385883073971, 0.0052976796076607555, 0.0004150582881077905, 0.0008056970580803129, -0.001774912968097734, 0.00012312418525672463 ], [ 0.00211977668600818, -0.005562486196108786, -0.0021639760014794335, 0.011044230824365545, -0.0005249430183132404, -0.0020733084287819867, 0.00020871631196888504, 0.00044918293791656625, -0.00002405044531593372 ], [ 0.0006632951121514951, -0.0005608723610906431, 0.0002847031291797787, 0.0017472870484564044, -0.000822604177842367, -0.000027562923819673176, 0.000045519435180187834, 0.000030337570625829538, 0.00001280064220913037 ] ]

DKYXART8p9w3SWTqUzVrhFX

{"aspect_ratio": 11.929676783735552, "major_radius": 1.0, "max_elongation": 4.6740208816751005, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.008063582130871385, -0.5761235753054859, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.8733271225929882, 0.8733271235984279, 0.8733271828785133, 0.8733277720092539, 0.873330585164756, 0.8733396759145888, 0.8733627700718887, 0.873412623325538, 0.873508311382099, 0.8736763577845613, 0.8739516209782228, 0.8743778777850355, 0.8750080553424304, 0.8759040778243953, 0.8771363079262072, 0.8787825761768121, 0.8809268036496665, 0.8836572355703834, 0.8870643146571321, 0.8912382337605833, 0.896266217471572, 0.9022295918078801, 0.9092007098417356, 0.9172398091448674, 0.9263918841584947, 0.9366836629824451, 0.9481207835506794, 0.9606852686365802, 0.9743334025107422, 0.9889941142366783, 1.004567973390031, 1.0209269032457375, 1.0379147139734617, 1.055348553836106, 1.07302136944492, 1.0907054563293415, 1.1081571678269713, 1.1251228327793907, 1.141345909621889, 1.1565753746163616, 1.170575302933367, 1.183135549655035, 1.1940833682801566, 1.2032957084028835, 1.2107117972042598, 1.2163454042680302, 1.2202958622162703, 1.222756347084141, 1.2240168023285203, 1.2244562053636823, 1.224509324464286], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4987506361867968}

11.929677

1

4.674021

[ [ 0.8733271225929882, 0.8733271235984279, 0.8733271828785133, 0.8733277720092539, 0.873330585164756, 0.8733396759145888, 0.8733627700718887, 0.873412623325538, 0.873508311382099, 0.8736763577845613, 0.8739516209782228, 0.8743778777850355, 0.8750080553424304, 0.8759040778243953, 0.8771363079262072, 0.8787825761768121, 0.8809268036496665, 0.8836572355703834, 0.8870643146571321, 0.8912382337605833, 0.896266217471572, 0.9022295918078801, 0.9092007098417356, 0.9172398091448674, 0.9263918841584947, 0.9366836629824451, 0.9481207835506794, 0.9606852686365802, 0.9743334025107422, 0.9889941142366783, 1.004567973390031, 1.0209269032457375, 1.0379147139734617, 1.055348553836106, 1.07302136944492, 1.0907054563293415, 1.1081571678269713, 1.1251228327793907, 1.141345909621889, 1.1565753746163616, 1.170575302933367, 1.183135549655035, 1.1940833682801566, 1.2032957084028835, 1.2107117972042598, 1.2163454042680302, 1.2202958622162703, 1.222756347084141, 1.2240168023285203, 1.2244562053636823, 1.224509324464286 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.008063582130871385, -0.5761235753054859, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.498751

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DkknbncSLxibGfrEcRdEqjD

null

false

null

false

D77NbAA7ceCy8i8MeyabH2R

DRwChmpTTnpRnzCK32BfjBt

{"qi": 0.032011360796845724, "vacuum_well": -0.1789954319674356, "aspect_ratio": 9.802670071335566, "max_elongation": 5.256451161298547, "average_triangularity": -0.36724233655490013, "axis_magnetic_mirror_ratio": 0.22423584279714098, "edge_magnetic_mirror_ratio": 0.25441850669060184, "aspect_ratio_over_edge_rotational_transform": 37.66634452689987, "flux_compression_in_regions_of_bad_curvature": 1.265448912478942, "axis_rotational_transform_over_n_field_periods": 0.20071753676546913, "edge_rotational_transform_over_n_field_periods": 0.13012505187933585, "minimum_normalized_magnetic_gradient_scale_length": 3.9445645175131023}

9.80267

37.666345

-0.764242

0.224236

0.200718

0.254419

0.130125

1.265449

5.256451

3.944565

0.032011

-0.178995

{"r_cos":[[0.0,0.0,0.0,0.0,0.998737559910528,0.12359332780473191,-0.0646571896533264,-0.019340187537173217,-0.001987990733662973],[-0.001333598352423315,0.004531907907844853,0.021552610424125738,-0.03650338029876295,0.08902580224158917,-0.013691023096485492,-0.011513884130178054,0.007515863184756626,-0.0006197095197403511],[-0.00034058484369159316,-0.000380465173283179,-0.014478963458968994,-0.026698316925917592,-0.010592126553270426,0.019558036621562552,0.003604268573699552,-0.0027584892732762625,0.00005753412581326173],[0.00028357712428389684,0.003905319446054545,0.00297582122269451,-0.00383624363601318,-0.0010322217746143178,-0.003522566565831208,0.004084401452093843,-0.0005595335961908795,-0.00012071048104202669],[0.000059023061950892164,0.00014390274555931644,-0.0019988122249241483,-0.0024910283181020882,0.0017084474918042968,0.0006047248604696609,-0.000702978184481578,0.0006150521764795878,-0.0002090203881944896]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12395072761693188,0.0032910495870240755,0.005291272983550223,-0.0015474556472146236],[-0.0004621428378209848,-0.0025298261765349414,0.017893341358788888,-0.06247246078773231,-0.13025683962939621,0.051378910000719875,-0.0009385025782849606,-0.003760148178074466,0.0005204228350545501],[-0.0002849108404601199,-0.005594896499486391,-0.002794001424733278,0.018965635871588032,-0.007785455957124306,0.010194865485037969,-0.0034370383629589007,-0.003103579143211928,0.0006922676772796342],[0.0008512024926524642,0.0007237484867297306,-0.0018176699378655461,-0.0010201595837205683,-0.0021744814693441116,0.002238639910423893,0.0013443295902103927,-0.0006051318457978605,-0.00012843268119951806],[-0.00022385856243342368,-0.001523876831420838,-0.001738337495779941,0.0024024500997452134,0.0020428180231133195,-0.0020153389168338356,0.000724334553449096,-0.00021654292649193896,-0.000029684032177906806]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.998737559910528, 0.12359332780473191, -0.0646571896533264, -0.019340187537173217, -0.001987990733662973 ], [ -0.001333598352423315, 0.004531907907844853, 0.021552610424125738, -0.03650338029876295, 0.08902580224158917, -0.013691023096485492, -0.011513884130178054, 0.007515863184756626, -0.0006197095197403511 ], [ -0.00034058484369159316, -0.000380465173283179, -0.014478963458968994, -0.026698316925917592, -0.010592126553270426, 0.019558036621562552, 0.003604268573699552, -0.0027584892732762625, 0.00005753412581326173 ], [ 0.00028357712428389684, 0.003905319446054545, 0.00297582122269451, -0.00383624363601318, -0.0010322217746143178, -0.003522566565831208, 0.004084401452093843, -0.0005595335961908795, -0.00012071048104202669 ], [ 0.000059023061950892164, 0.00014390274555931644, -0.0019988122249241483, -0.0024910283181020882, 0.0017084474918042968, 0.0006047248604696609, -0.000702978184481578, 0.0006150521764795878, -0.0002090203881944896 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12395072761693188, 0.0032910495870240755, 0.005291272983550223, -0.0015474556472146236 ], [ -0.0004621428378209848, -0.0025298261765349414, 0.017893341358788888, -0.06247246078773231, -0.13025683962939621, 0.051378910000719875, -0.0009385025782849606, -0.003760148178074466, 0.0005204228350545501 ], [ -0.0002849108404601199, -0.005594896499486391, -0.002794001424733278, 0.018965635871588032, -0.007785455957124306, 0.010194865485037969, -0.0034370383629589007, -0.003103579143211928, 0.0006922676772796342 ], [ 0.0008512024926524642, 0.0007237484867297306, -0.0018176699378655461, -0.0010201595837205683, -0.0021744814693441116, 0.002238639910423893, 0.0013443295902103927, -0.0006051318457978605, -0.00012843268119951806 ], [ -0.00022385856243342368, -0.001523876831420838, -0.001738337495779941, 0.0024024500997452134, 0.0020428180231133195, -0.0020153389168338356, 0.000724334553449096, -0.00021654292649193896, -0.000029684032177906806 ] ]

D8YJgmz2VWPuovvAct7EvCA

{"aspect_ratio": 10.690750936973004, "major_radius": 1.0, "max_elongation": 4.7647857876312045, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.537258247210939, -0.38956465037714266, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.83655643325375, 0.83655646061734, 0.8365574812147325, 0.8365650481218744, 0.8365941284474633, 0.8366731274841228, 0.8368465563734103, 0.8371762165232296, 0.8377409413100402, 0.8386350258129717, 0.8399655274646637, 0.841848650015891, 0.8444054377830978, 0.8477570111635603, 0.8520195706133379, 0.8572993865442051, 0.8636879782325654, 0.87125766683788, 0.880057666773053, 0.8901108565777566, 0.9014113456363643, 0.9139229269987121, 0.9275784795940484, 0.9422803556269599, 0.9579017612317541, 0.9742891108427136, 0.9912653085041131, 1.0086338827826893, 1.0261838763434499, 1.043695366900264, 1.0609454734603474, 1.0777146808695182, 1.0937932969818047, 1.1089878407064255, 1.1231271461577519, 1.1360679586417062, 1.147699792829122, 1.157948822876701, 1.1667805792922628, 1.17420123904248, 1.1802573151001416, 1.1850335810819064, 1.1886491082349622, 1.1912513491931187, 1.1930082806866353, 1.1940987236653986, 1.1947011073484168, 1.1949811578230767, 1.1950793220015092, 1.19509930672045, 1.1951003316602522], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.446212718415926}

10.690751

1

4.764786

[ [ 0.83655643325375, 0.83655646061734, 0.8365574812147325, 0.8365650481218744, 0.8365941284474633, 0.8366731274841228, 0.8368465563734103, 0.8371762165232296, 0.8377409413100402, 0.8386350258129717, 0.8399655274646637, 0.841848650015891, 0.8444054377830978, 0.8477570111635603, 0.8520195706133379, 0.8572993865442051, 0.8636879782325654, 0.87125766683788, 0.880057666773053, 0.8901108565777566, 0.9014113456363643, 0.9139229269987121, 0.9275784795940484, 0.9422803556269599, 0.9579017612317541, 0.9742891108427136, 0.9912653085041131, 1.0086338827826893, 1.0261838763434499, 1.043695366900264, 1.0609454734603474, 1.0777146808695182, 1.0937932969818047, 1.1089878407064255, 1.1231271461577519, 1.1360679586417062, 1.147699792829122, 1.157948822876701, 1.1667805792922628, 1.17420123904248, 1.1802573151001416, 1.1850335810819064, 1.1886491082349622, 1.1912513491931187, 1.1930082806866353, 1.1940987236653986, 1.1947011073484168, 1.1949811578230767, 1.1950793220015092, 1.19509930672045, 1.1951003316602522 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ -0.537258247210939, -0.38956465037714266, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.446213

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D5Khwjrjc7k7vmWA5fBb3dW

null

false

null

false

Dda46Nsh8Dfk9u29koRgp2V

DbxCfmSUMe9wS8J33SWv4Ff

{"qi": 0.0015461363226955008, "vacuum_well": -0.10109629943987218, "aspect_ratio": 8.56275453096974, "max_elongation": 7.069623344372124, "average_triangularity": -0.07779091765897413, "axis_magnetic_mirror_ratio": 0.4183022414204905, "edge_magnetic_mirror_ratio": 0.4249996132215978, "aspect_ratio_over_edge_rotational_transform": 12.314394586722145, "flux_compression_in_regions_of_bad_curvature": 1.8223333167874627, "axis_rotational_transform_over_n_field_periods": 0.19661407432175285, "edge_rotational_transform_over_n_field_periods": 0.2317817161227569, "minimum_normalized_magnetic_gradient_scale_length": 6.7228946855398295}

8.562755

12.314395

-0.201907

0.418302

0.196614

0.425

0.231782

1.822333

7.069623

6.722895

0.001546

-0.101096

{"r_cos":[[0.0,0.0,0.0,0.0,0.995381001517878,0.06585850988328043,-0.018469470763020565,-0.004922112458005962,-0.0005846596201050016],[0.0012594573842300233,-0.0020037223096181734,-0.038834245004347304,-0.0832825954859016,0.13902923775258785,0.025124484131912508,-0.006316897901612047,0.0007761195654708756,-0.0006091141179621602],[0.001133891647196465,0.0017999707764029143,-0.00280665092381757,0.01465374085604215,-0.01637744924409138,0.00954785406539029,0.0008483168822368337,0.00004844097882346842,0.0002552968752366052],[0.00025726441673308846,0.0016889017641485455,0.007778212007318129,-0.006008590241089497,-0.000839266267580205,-0.0011022623579404053,0.0011725003759241659,-0.000056699784219033144,0.00007536122457963077],[-0.00015595655089020082,0.00023028169322282998,-0.0017317710456059882,-0.0008332845126471323,0.0005809239983354912,0.00035287801792429404,-0.0004203530240204804,0.00011180551815452426,0.000012712433356719781]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.19830434722484735,-0.023049861084450812,0.004924486594834598,0.0013529767312368476],[-0.0008185551475396692,-0.003930939443089821,-0.012437731017727546,-0.0774384079389825,-0.15500101490080845,0.032939655649499466,-0.012837313017393406,0.0014314729433585103,0.0006332068672734725],[0.00039419909605676077,0.0003625843303086175,-0.0018652997395635093,0.006277438086055015,-0.012381622106073992,0.0018929240777868402,-0.0013583975734181596,-0.0003958112508984855,-0.00006762918393048804],[0.00045291542597639177,0.00015806945633018303,0.0020018858194690934,0.0014017897688249899,0.001131571330893153,0.00011576550314556058,-0.00033513093921426127,0.00001726428502488243,-0.000026364166916128482],[-0.0002029090094837363,-0.00009788581372378786,0.00012852475759964624,0.00008132352933618686,0.000033168855725418346,0.00013452572490757627,0.00002401244639165102,-0.00007782418951294083,0.00001118888969633752]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.995381001517878, 0.06585850988328043, -0.018469470763020565, -0.004922112458005962, -0.0005846596201050016 ], [ 0.0012594573842300233, -0.0020037223096181734, -0.038834245004347304, -0.0832825954859016, 0.13902923775258785, 0.025124484131912508, -0.006316897901612047, 0.0007761195654708756, -0.0006091141179621602 ], [ 0.001133891647196465, 0.0017999707764029143, -0.00280665092381757, 0.01465374085604215, -0.01637744924409138, 0.00954785406539029, 0.0008483168822368337, 0.00004844097882346842, 0.0002552968752366052 ], [ 0.00025726441673308846, 0.0016889017641485455, 0.007778212007318129, -0.006008590241089497, -0.000839266267580205, -0.0011022623579404053, 0.0011725003759241659, -0.000056699784219033144, 0.00007536122457963077 ], [ -0.00015595655089020082, 0.00023028169322282998, -0.0017317710456059882, -0.0008332845126471323, 0.0005809239983354912, 0.00035287801792429404, -0.0004203530240204804, 0.00011180551815452426, 0.000012712433356719781 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.19830434722484735, -0.023049861084450812, 0.004924486594834598, 0.0013529767312368476 ], [ -0.0008185551475396692, -0.003930939443089821, -0.012437731017727546, -0.0774384079389825, -0.15500101490080845, 0.032939655649499466, -0.012837313017393406, 0.0014314729433585103, 0.0006332068672734725 ], [ 0.00039419909605676077, 0.0003625843303086175, -0.0018652997395635093, 0.006277438086055015, -0.012381622106073992, 0.0018929240777868402, -0.0013583975734181596, -0.0003958112508984855, -0.00006762918393048804 ], [ 0.00045291542597639177, 0.00015806945633018303, 0.0020018858194690934, 0.0014017897688249899, 0.001131571330893153, 0.00011576550314556058, -0.00033513093921426127, 0.00001726428502488243, -0.000026364166916128482 ], [ -0.0002029090094837363, -0.00009788581372378786, 0.00012852475759964624, 0.00008132352933618686, 0.000033168855725418346, 0.00013452572490757627, 0.00002401244639165102, -0.00007782418951294083, 0.00001118888969633752 ] ]

DkUEHRQTbnoDYyBaH5i2WHP

{"aspect_ratio": 8.574836679338066, "major_radius": 1.0, "max_elongation": 6.986385009857472, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.14951890668947554, -0.09367938436718523, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6123889946820689, 0.6123905056936834, 0.6124171099654142, 0.6125412688502739, 0.6128863448994781, 0.6136197808441151, 0.6149436806665287, 0.6170844027393234, 0.6202819683153755, 0.6247797656106047, 0.6308148616951567, 0.6386091334868769, 0.6483613624573884, 0.6602403904590057, 0.6743793988720294, 0.6908713459023236, 0.7097655748598827, 0.7310655880708121, 0.7547279657004196, 0.7806623955000671, 0.8087327678462467, 0.838759280062517, 0.8705214846396508, 0.9037622073954243, 0.9381922536859431, 0.9734958133697315, 1.0093364682313013, 1.0453636989061013, 1.0812197819387384, 1.1165469613839907, 1.15099477326288, 1.184227395153136, 1.2159308871630254, 1.2458201844438632, 1.2736456951661237, 1.2991993514313358, 1.3223199538127857, 1.342897642981329, 1.3608773240069207, 1.3762608602001993, 1.3891078434479993, 1.3995347364336292, 1.407712168213214, 1.4138601472390497, 1.4182409332591608, 1.4211492783919097, 1.4228997020631113, 1.4238103919014296, 1.4241831934143998, 1.4242788789208332, 1.4242861023631934], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5864595421846384}

8.574837

1

6.986385

[ [ 0.6123889946820689, 0.6123905056936834, 0.6124171099654142, 0.6125412688502739, 0.6128863448994781, 0.6136197808441151, 0.6149436806665287, 0.6170844027393234, 0.6202819683153755, 0.6247797656106047, 0.6308148616951567, 0.6386091334868769, 0.6483613624573884, 0.6602403904590057, 0.6743793988720294, 0.6908713459023236, 0.7097655748598827, 0.7310655880708121, 0.7547279657004196, 0.7806623955000671, 0.8087327678462467, 0.838759280062517, 0.8705214846396508, 0.9037622073954243, 0.9381922536859431, 0.9734958133697315, 1.0093364682313013, 1.0453636989061013, 1.0812197819387384, 1.1165469613839907, 1.15099477326288, 1.184227395153136, 1.2159308871630254, 1.2458201844438632, 1.2736456951661237, 1.2991993514313358, 1.3223199538127857, 1.342897642981329, 1.3608773240069207, 1.3762608602001993, 1.3891078434479993, 1.3995347364336292, 1.407712168213214, 1.4138601472390497, 1.4182409332591608, 1.4211492783919097, 1.4228997020631113, 1.4238103919014296, 1.4241831934143998, 1.4242788789208332, 1.4242861023631934 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.14951890668947554, -0.09367938436718523, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.58646

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DBPQPS897xiNzjZ8sFAQ9pr

null

false

null

false

DD7LG359mXQEDRfzvSLm9RJ

DgdVSSaFraFhy4YtVzJbbTc

{"qi": 0.002585660039640749, "vacuum_well": 0.0035656100903213857, "aspect_ratio": 6.258365255355115, "max_elongation": 6.711419052203309, "average_triangularity": 0.3987538690647302, "axis_magnetic_mirror_ratio": 0.24812286526018787, "edge_magnetic_mirror_ratio": 0.2912238813168734, "aspect_ratio_over_edge_rotational_transform": 14.672315133113392, "flux_compression_in_regions_of_bad_curvature": 2.0459087076883447, "axis_rotational_transform_over_n_field_periods": 0.2446065732194032, "edge_rotational_transform_over_n_field_periods": 0.21327122538524435, "minimum_normalized_magnetic_gradient_scale_length": 3.385892328505965}

6.258365

14.672315

0.523503

0.248123

0.244607

0.291224

0.213271

2.045909

6.711419

3.385892

0.002586

0.003566

{"r_cos":[[0.0,0.0,0.0,0.0,0.9903730618149179,0.2882992587501442,-0.013828388479288054,-0.015172550770491568,-0.004992828067998806],[-0.0008539019174786824,-0.002144463156894694,-0.01901017555125878,-0.0703913405753038,0.20514828889581543,-0.023063378599225942,0.017447209724778673,-0.0036477515602260087,-0.0035268394969824946],[-0.000696123343149417,0.00043379965707453233,0.01433676348933267,0.002003742662706573,-0.002034688788784614,-0.02042287446166507,-0.0027806001014294085,0.00044072503353578823,0.0012947995877915926],[0.0002702558539521428,-0.0006708519484600406,-0.0017153086696209698,-0.0018386788718135999,0.0007743465279714345,0.002785189961643512,0.0002753721982824794,0.0013303887709719487,-0.0006050952083710758],[0.0001983876371659711,-0.00023219062567293882,-0.00009782789248476197,0.00042322141254464395,-0.0003087952910479017,0.00001119821289827759,0.00011306167064053518,-0.0002234265716844935,0.0001508330645431361]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.8937884089538851,-0.0744184985307697,-0.029695864716947355,-0.002254268594858508],[-0.0038062677524698402,0.008850862207975433,-0.07003562002084002,-0.037941759964419675,-0.11930766533726722,0.01298748996445841,0.03192337573481188,-0.00046971644142398614,0.0072034944375350945],[-0.002515771622129209,0.001458060784864634,0.019794777912047153,-0.013706553740191453,0.028260784176299198,-0.0019084316996581417,-0.0029582647593122072,-0.00016851787135091295,-0.001978855260916098],[0.0012224597815035428,-0.0032403557908462586,-0.0014627055673301931,0.00334738932760065,-0.001683710943323591,0.002964089005477852,-0.0027192830821252695,-0.000896094697550657,0.00019582734771523126],[-0.00019431987939178767,0.000730088073172549,-0.0003586034815236037,0.0005685335341172836,-0.0017374475029197697,0.00005118586250241094,-0.0003599013344613722,0.0002558459452256556,-0.0000500608707238592]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9903730618149179, 0.2882992587501442, -0.013828388479288054, -0.015172550770491568, -0.004992828067998806 ], [ -0.0008539019174786824, -0.002144463156894694, -0.01901017555125878, -0.0703913405753038, 0.20514828889581543, -0.023063378599225942, 0.017447209724778673, -0.0036477515602260087, -0.0035268394969824946 ], [ -0.000696123343149417, 0.00043379965707453233, 0.01433676348933267, 0.002003742662706573, -0.002034688788784614, -0.02042287446166507, -0.0027806001014294085, 0.00044072503353578823, 0.0012947995877915926 ], [ 0.0002702558539521428, -0.0006708519484600406, -0.0017153086696209698, -0.0018386788718135999, 0.0007743465279714345, 0.002785189961643512, 0.0002753721982824794, 0.0013303887709719487, -0.0006050952083710758 ], [ 0.0001983876371659711, -0.00023219062567293882, -0.00009782789248476197, 0.00042322141254464395, -0.0003087952910479017, 0.00001119821289827759, 0.00011306167064053518, -0.0002234265716844935, 0.0001508330645431361 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.8937884089538851, -0.0744184985307697, -0.029695864716947355, -0.002254268594858508 ], [ -0.0038062677524698402, 0.008850862207975433, -0.07003562002084002, -0.037941759964419675, -0.11930766533726722, 0.01298748996445841, 0.03192337573481188, -0.00046971644142398614, 0.0072034944375350945 ], [ -0.002515771622129209, 0.001458060784864634, 0.019794777912047153, -0.013706553740191453, 0.028260784176299198, -0.0019084316996581417, -0.0029582647593122072, -0.00016851787135091295, -0.001978855260916098 ], [ 0.0012224597815035428, -0.0032403557908462586, -0.0014627055673301931, 0.00334738932760065, -0.001683710943323591, 0.002964089005477852, -0.0027192830821252695, -0.000896094697550657, 0.00019582734771523126 ], [ -0.00019431987939178767, 0.000730088073172549, -0.0003586034815236037, 0.0005685335341172836, -0.0017374475029197697, 0.00005118586250241094, -0.0003599013344613722, 0.0002558459452256556, -0.0000500608707238592 ] ]

DAnJDWF7KZD9aFRd3zTZJVN

{"aspect_ratio": 6.196331320695344, "major_radius": 1.0, "max_elongation": 5.6316297169891945, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.14052937969627885, 0.14040231953615503, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.6939193702759792, 0.6940176790077867, 0.6947102935914319, 0.6965270990522187, 0.6998838704814748, 0.7050804665830216, 0.7123088023495552, 0.7216639178826549, 0.733156118813656, 0.7467232980922472, 0.7622429771047855, 0.7795438037917659, 0.7984163520194351, 0.8186231290497094, 0.8399077374475596, 0.8620031641316998, 0.8846391876937613, 0.9075489084673412, 0.9304744158189733, 0.9531716148046425, 0.9754142403588371, 0.9969970920030146, 1.0177385259802743, 1.0374822449553296, 1.0560984281156216, 1.073484246781365, 1.0895638125617957, 1.104287606743699, 1.1176314410136017, 1.1295950008329791, 1.1402000238344219, 1.1494881665075727, 1.1575186132133908, 1.1643654822164735, 1.1701150839669598, 1.1748630873020174, 1.1787116495754342, 1.1817665669628306, 1.1841345013269078, 1.1859203400557488, 1.187224745196825, 1.1881419479832238, 1.188757844461319, 1.1891484473421567, 1.18937874835306, 1.1895020441670794, 1.1895597772783715, 1.189581940688656, 1.1895880914145192, 1.1895890113369447, 1.1895890410098753], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5051887413250444}

6.196331

1

5.63163

[ [ 0.6939193702759792, 0.6940176790077867, 0.6947102935914319, 0.6965270990522187, 0.6998838704814748, 0.7050804665830216, 0.7123088023495552, 0.7216639178826549, 0.733156118813656, 0.7467232980922472, 0.7622429771047855, 0.7795438037917659, 0.7984163520194351, 0.8186231290497094, 0.8399077374475596, 0.8620031641316998, 0.8846391876937613, 0.9075489084673412, 0.9304744158189733, 0.9531716148046425, 0.9754142403588371, 0.9969970920030146, 1.0177385259802743, 1.0374822449553296, 1.0560984281156216, 1.073484246781365, 1.0895638125617957, 1.104287606743699, 1.1176314410136017, 1.1295950008329791, 1.1402000238344219, 1.1494881665075727, 1.1575186132133908, 1.1643654822164735, 1.1701150839669598, 1.1748630873020174, 1.1787116495754342, 1.1817665669628306, 1.1841345013269078, 1.1859203400557488, 1.187224745196825, 1.1881419479832238, 1.188757844461319, 1.1891484473421567, 1.18937874835306, 1.1895020441670794, 1.1895597772783715, 1.189581940688656, 1.1895880914145192, 1.1895890113369447, 1.1895890410098753 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.14052937969627885, 0.14040231953615503, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.505189

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

Dg9sGzLtkbc5EUmGkFjW9Y8

null

false

null

false

D8TPpbN6Fikoykxfn8ii5ex

DUaYyMYM35BekuenDsbjJ5x

{"qi": 0.005261485400338738, "vacuum_well": -0.023875607531334102, "aspect_ratio": 9.455020280294226, "max_elongation": 3.1519589981232317, "average_triangularity": -0.0809127988147447, "axis_magnetic_mirror_ratio": 0.3069095274076935, "edge_magnetic_mirror_ratio": 0.3674219397227806, "aspect_ratio_over_edge_rotational_transform": 42.902950870367505, "flux_compression_in_regions_of_bad_curvature": 0.7204320795855116, "axis_rotational_transform_over_n_field_periods": 0.21527808119889016, "edge_rotational_transform_over_n_field_periods": 0.22038158421463458, "minimum_normalized_magnetic_gradient_scale_length": 4.320227159468866}

9.45502

42.902951

-0.201137

0.30691

0.215278

0.367422

0.220382

0.720432

3.151959

4.320227

0.005261

-0.023876

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.005270867019226329,-0.20088842617409416,0.001165521622510305,0.005623894267435037],[0.003719570698183137,-0.003685624077182684,0.03712143500305752,-0.017492175567162718,0.1027036433375527,-0.014785439807710106,0.003207536370120917,0.0007141516094122374,0.00031057662860040124],[-0.0008106154174540386,-0.00027787695381711864,-0.0015839735229920143,-0.001561205205864469,-0.0020092516787007996,0.0018139323244427581,0.0010878174466100907,-0.0005208862496427498,0.000014747478489087016],[-0.00007106680440873438,-0.00023647434893870554,-0.0003444927372825453,-0.0005252971722437909,-0.005637658324269607,-0.00015487445013283129,0.0002180146438884547,-0.000029712202436102985,-0.0000897864671774209],[-0.00004213610681860157,-4.793704148103984e-6,0.00041702165496682687,-0.00044721597061197485,0.0003338272711333719,0.00012663415115613625,0.000059134001584319664,0.00005043553633049113,-0.000015746819284549302]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.002670933830956651,0.007844519110618032,0.0045828195079473475,0.002115466242016731],[0.0034586547649590954,-0.0016671751301230613,0.04530968754960754,0.0036214685352464393,-0.12386515556631923,0.0036652849153350556,0.006192739416952423,-0.00040913759496425035,0.00004456513629837026],[-0.001979047147464765,-0.0005879298888107293,-0.0019945611998541785,0.000997770345349571,0.004773601542247972,0.000039884144663457225,-0.0028795026799033675,-0.00024811767322469703,0.00047574529474996225],[-0.0005343428693281029,-0.00011928942915949116,-0.0006381190513114591,-0.0007288435238991618,0.008417995737399582,0.001973258987067209,-0.003730646352057645,-3.179211382574867e-6,0.0005342349306508975],[0.0003362450527122601,-0.00016946946972997283,0.00022336300212258734,0.0001569220007254071,-0.00023595258963531388,-0.0002300993420752258,0.0002946071785887817,0.00002285586406976768,-0.00010750785368868306]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.005270867019226329, -0.20088842617409416, 0.001165521622510305, 0.005623894267435037 ], [ 0.003719570698183137, -0.003685624077182684, 0.03712143500305752, -0.017492175567162718, 0.1027036433375527, -0.014785439807710106, 0.003207536370120917, 0.0007141516094122374, 0.00031057662860040124 ], [ -0.0008106154174540386, -0.00027787695381711864, -0.0015839735229920143, -0.001561205205864469, -0.0020092516787007996, 0.0018139323244427581, 0.0010878174466100907, -0.0005208862496427498, 0.000014747478489087016 ], [ -0.00007106680440873438, -0.00023647434893870554, -0.0003444927372825453, -0.0005252971722437909, -0.005637658324269607, -0.00015487445013283129, 0.0002180146438884547, -0.000029712202436102985, -0.0000897864671774209 ], [ -0.00004213610681860157, -0.000004793704148103984, 0.00041702165496682687, -0.00044721597061197485, 0.0003338272711333719, 0.00012663415115613625, 0.000059134001584319664, 0.00005043553633049113, -0.000015746819284549302 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.002670933830956651, 0.007844519110618032, 0.0045828195079473475, 0.002115466242016731 ], [ 0.0034586547649590954, -0.0016671751301230613, 0.04530968754960754, 0.0036214685352464393, -0.12386515556631923, 0.0036652849153350556, 0.006192739416952423, -0.00040913759496425035, 0.00004456513629837026 ], [ -0.001979047147464765, -0.0005879298888107293, -0.0019945611998541785, 0.000997770345349571, 0.004773601542247972, 0.000039884144663457225, -0.0028795026799033675, -0.00024811767322469703, 0.00047574529474996225 ], [ -0.0005343428693281029, -0.00011928942915949116, -0.0006381190513114591, -0.0007288435238991618, 0.008417995737399582, 0.001973258987067209, -0.003730646352057645, -0.000003179211382574867, 0.0005342349306508975 ], [ 0.0003362450527122601, -0.00016946946972997283, 0.00022336300212258734, 0.0001569220007254071, -0.00023595258963531388, -0.0002300993420752258, 0.0002946071785887817, 0.00002285586406976768, -0.00010750785368868306 ] ]

D4P2rkYHKiSviCnhsepDrwB

{"aspect_ratio": 11.98079477044462, "major_radius": 1.0, "max_elongation": 6.059903984607884, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.09727419764048806, 0.09892159210384775, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.7075039134336194, 0.7075039235340169, 0.7075045091425386, 0.7075101760934165, 0.7075363851649819, 0.7076181429266397, 0.707818153121001, 0.7082331178824345, 0.7089972961141179, 0.7102828582352428, 0.712296930464133, 0.7152755047731673, 0.7194746090147038, 0.7251592915112257, 0.73259108142765, 0.7420146461118785, 0.7536443847533582, 0.7676516794745968, 0.7841534755046424, 0.8032027864185712, 0.8247816234604187, 0.848796734459738, 0.8750784124255411, 0.9033825010329539, 0.9333955882344652, 0.9647432442983789, 0.9970010307047208, 1.0297078853390271, 1.0623813809533158, 1.0945342613432123, 1.1256915863314259, 1.1554077654191701, 1.18328273357084, 1.2089765234385812, 1.2322215184844343, 1.2528317326117802, 1.2707085553320594, 1.2858425279150163, 1.2983108755438049, 1.3082707126303652, 1.315948061644791, 1.3216230774262567, 1.325612144815528, 1.3282478113770528, 1.3298578198618163, 1.3307448034800557, 1.3311684807161608, 1.3313324031842848, 1.3313774149404454, 1.3313838684735355, 1.3313840554488845], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2637102160537746}

11.980795

1

6.059904

[ [ 0.7075039134336194, 0.7075039235340169, 0.7075045091425386, 0.7075101760934165, 0.7075363851649819, 0.7076181429266397, 0.707818153121001, 0.7082331178824345, 0.7089972961141179, 0.7102828582352428, 0.712296930464133, 0.7152755047731673, 0.7194746090147038, 0.7251592915112257, 0.73259108142765, 0.7420146461118785, 0.7536443847533582, 0.7676516794745968, 0.7841534755046424, 0.8032027864185712, 0.8247816234604187, 0.848796734459738, 0.8750784124255411, 0.9033825010329539, 0.9333955882344652, 0.9647432442983789, 0.9970010307047208, 1.0297078853390271, 1.0623813809533158, 1.0945342613432123, 1.1256915863314259, 1.1554077654191701, 1.18328273357084, 1.2089765234385812, 1.2322215184844343, 1.2528317326117802, 1.2707085553320594, 1.2858425279150163, 1.2983108755438049, 1.3082707126303652, 1.315948061644791, 1.3216230774262567, 1.325612144815528, 1.3282478113770528, 1.3298578198618163, 1.3307448034800557, 1.3311684807161608, 1.3313324031842848, 1.3313774149404454, 1.3313838684735355, 1.3313840554488845 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ -0.09727419764048806, 0.09892159210384775, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.26371

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DjiZ3Um6ARJ2WsDW7UxbaR6

null

false

null

false

DQxs4XnFS5EJ46MQAtxKbbk

DkaHcvFSDe5iNT4Dxu4uhrh

{"qi": 0.006427762894022506, "vacuum_well": -0.1072749562957975, "aspect_ratio": 9.611341137475799, "max_elongation": 6.104703915836787, "average_triangularity": 0.03329617776243676, "axis_magnetic_mirror_ratio": 0.31068732844155567, "edge_magnetic_mirror_ratio": 0.3744778726623441, "aspect_ratio_over_edge_rotational_transform": 7.754250198294742, "flux_compression_in_regions_of_bad_curvature": 1.5542764747389075, "axis_rotational_transform_over_n_field_periods": 0.2827378665260526, "edge_rotational_transform_over_n_field_periods": 0.24789865923050702, "minimum_normalized_magnetic_gradient_scale_length": 11.298625019403325}

9.611341

7.75425

0.311352

0.310687

0.282738

0.374478

0.247899

1.554276

6.104704

11.298625

0.006428

-0.107275

{"r_cos":[[0.0,0.0,0.0,0.0,0.9961167761793206,0.013772865122716483,-0.009103777037154053,-0.0004518137845568749,0.00018902794940570166],[0.0002016632665463089,-0.00001636393357975363,-0.007448490409532271,-0.07438330972401752,0.1380890696520275,-0.01588066022482487,-0.0021152941161309627,0.0002180755137516143,0.0001607453152593041],[0.0001210705240449443,0.00234326843122746,0.008699176055439264,0.03515835416662258,-0.009481361571295123,-0.0015343793993199857,0.0008467651847261599,-0.000017851905278814736,-8.278767588058366e-6],[0.00015265470227310561,-0.00023790555673866903,-0.001253855319435025,-0.0030197711172156227,0.005084008550795245,-0.0020291914747854745,0.0005453981870281995,0.00005796531179089694,-0.000028942558598115946],[0.000051152028525999814,-0.00041649657555878404,-0.00016562186910807546,0.0009352313298779265,0.00036287158268366593,-0.00031593448314874836,0.0003269967034102857,-0.00012294745750229092,0.00002010975291379596]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.034961497636556316,0.005488960993211865,0.0010565179728591152,4.428543470914873e-6],[-0.0005714450507313213,-0.001752051596622269,-0.0069872012761530745,-0.08704649611735525,-0.13153498025150173,0.02668569738609038,-0.00027346420401133187,0.000032880183704779684,-0.00016438700986220157],[-0.000475385449022272,-0.0001135959285875528,0.007715104700253659,0.0072486092017217925,-0.020592244088857153,0.009635069998819641,-0.0017858197651299378,0.00008521573192929216,-0.000018460332884375863],[-0.00008040801236489748,-0.00015098894021797207,0.0008248785945571425,0.000537862428547129,-0.004185496619567795,0.0014880947570473986,-0.0006326263240671497,0.000020774861714533782,3.9220858488861265e-6],[0.00008934996535758712,0.000043202404584012096,0.00014384866960974872,-0.00010335978597680428,-0.00005888725476518907,0.00018358530528052753,-0.00014320251922951964,0.00003046143618551019,-6.5710125793827685e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9961167761793206, 0.013772865122716483, -0.009103777037154053, -0.0004518137845568749, 0.00018902794940570166 ], [ 0.0002016632665463089, -0.00001636393357975363, -0.007448490409532271, -0.07438330972401752, 0.1380890696520275, -0.01588066022482487, -0.0021152941161309627, 0.0002180755137516143, 0.0001607453152593041 ], [ 0.0001210705240449443, 0.00234326843122746, 0.008699176055439264, 0.03515835416662258, -0.009481361571295123, -0.0015343793993199857, 0.0008467651847261599, -0.000017851905278814736, -0.000008278767588058366 ], [ 0.00015265470227310561, -0.00023790555673866903, -0.001253855319435025, -0.0030197711172156227, 0.005084008550795245, -0.0020291914747854745, 0.0005453981870281995, 0.00005796531179089694, -0.000028942558598115946 ], [ 0.000051152028525999814, -0.00041649657555878404, -0.00016562186910807546, 0.0009352313298779265, 0.00036287158268366593, -0.00031593448314874836, 0.0003269967034102857, -0.00012294745750229092, 0.00002010975291379596 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.034961497636556316, 0.005488960993211865, 0.0010565179728591152, 0.000004428543470914873 ], [ -0.0005714450507313213, -0.001752051596622269, -0.0069872012761530745, -0.08704649611735525, -0.13153498025150173, 0.02668569738609038, -0.00027346420401133187, 0.000032880183704779684, -0.00016438700986220157 ], [ -0.000475385449022272, -0.0001135959285875528, 0.007715104700253659, 0.0072486092017217925, -0.020592244088857153, 0.009635069998819641, -0.0017858197651299378, 0.00008521573192929216, -0.000018460332884375863 ], [ -0.00008040801236489748, -0.00015098894021797207, 0.0008248785945571425, 0.000537862428547129, -0.004185496619567795, 0.0014880947570473986, -0.0006326263240671497, 0.000020774861714533782, 0.0000039220858488861265 ], [ 0.00008934996535758712, 0.000043202404584012096, 0.00014384866960974872, -0.00010335978597680428, -0.00005888725476518907, 0.00018358530528052753, -0.00014320251922951964, 0.00003046143618551019, -0.0000065710125793827685 ] ]

DkgoyX6cTCvWFTUhcrJrfG2

{"aspect_ratio": 10.12077912455061, "major_radius": 1.0, "max_elongation": 6.0585226024437775, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09177507551155897, 0.11915961095431724, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.686596751109166, 0.686597006511325, 0.6866046499959692, 0.6866536569262339, 0.6868223675684678, 0.6872412323913794, 0.6880922408614121, 0.6896019949387616, 0.6920302709872852, 0.6956557207270223, 0.7007601454820485, 0.7076125576608042, 0.7164540282367216, 0.7274841138322525, 0.7408494646543485, 0.7566350366700327, 0.7748581690670839, 0.7954656418118748, 0.8183336983006055, 0.8432709048018455, 0.8700236215531777, 0.8982837798271249, 0.9276985947465213, 0.9578817947473639, 0.9884259149233445, 1.0189151825371916, 1.0489385181806559, 1.078102184774488, 1.106041638124426, 1.1324321663247574, 1.1569979500927017, 1.1795192312136775, 1.1998373406850105, 1.2178574107753724, 1.233548674874128, 1.246942344369875, 1.2581271414059492, 1.267242658572534, 1.2744708095562012, 1.2800257263566968, 1.2841425464349094, 1.2870656141654702, 1.2890366917199727, 1.2902838306494036, 1.2910115913936338, 1.2913933062885263, 1.2915660519243326, 1.2916289132302805, 1.2916449585326801, 1.291647053311274, 1.2916471061736812], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.3614298068312725}

10.120779

1

6.058523

[ [ 0.686596751109166, 0.686597006511325, 0.6866046499959692, 0.6866536569262339, 0.6868223675684678, 0.6872412323913794, 0.6880922408614121, 0.6896019949387616, 0.6920302709872852, 0.6956557207270223, 0.7007601454820485, 0.7076125576608042, 0.7164540282367216, 0.7274841138322525, 0.7408494646543485, 0.7566350366700327, 0.7748581690670839, 0.7954656418118748, 0.8183336983006055, 0.8432709048018455, 0.8700236215531777, 0.8982837798271249, 0.9276985947465213, 0.9578817947473639, 0.9884259149233445, 1.0189151825371916, 1.0489385181806559, 1.078102184774488, 1.106041638124426, 1.1324321663247574, 1.1569979500927017, 1.1795192312136775, 1.1998373406850105, 1.2178574107753724, 1.233548674874128, 1.246942344369875, 1.2581271414059492, 1.267242658572534, 1.2744708095562012, 1.2800257263566968, 1.2841425464349094, 1.2870656141654702, 1.2890366917199727, 1.2902838306494036, 1.2910115913936338, 1.2913933062885263, 1.2915660519243326, 1.2916289132302805, 1.2916449585326801, 1.291647053311274, 1.2916471061736812 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.09177507551155897, 0.11915961095431724, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.36143

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DWtV3PgNUY3tNSQUdk7FFYt

null

false

null

false

Dc3BopLeueJEN9GbXeazwPN

Dg9PiEKUnpXa4mH4NLkRkST

{"qi": 0.04477779184603214, "vacuum_well": -0.10709252728630315, "aspect_ratio": 9.800465824952772, "max_elongation": 4.256671504060647, "average_triangularity": -0.4407495110160349, "axis_magnetic_mirror_ratio": 0.09844488811788267, "edge_magnetic_mirror_ratio": 0.19872279277507718, "aspect_ratio_over_edge_rotational_transform": 12.465855592005068, "flux_compression_in_regions_of_bad_curvature": 1.1899016603947763, "axis_rotational_transform_over_n_field_periods": 0.2514038255277415, "edge_rotational_transform_over_n_field_periods": 0.2620615903609607, "minimum_normalized_magnetic_gradient_scale_length": 5.6297011250142495}

9.800466

12.465856

-0.781148

0.098445

0.251404

0.198723

0.262062

1.189902

4.256672

5.629701

0.044778

-0.107093

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.037904440690643464,-0.02823017659244902,0.00239446190385212,0.0014685741532123615],[-0.0015537684151909188,-0.007718293848670027,0.036605000127075904,-0.06046495324985611,0.0914736597629744,0.010795804112906121,-0.0006425368477643474,0.001005023511878836,0.0002734689004805287],[-0.00043051580766108875,0.005514196935017191,-0.013571047727677492,-0.008457536372218848,-0.031281678538979195,-0.016529074546096346,-0.0037328918309858083,-0.000995932399422821,0.000146973281306258],[-0.00010965850354744495,-0.001666646104183006,0.0034877095487140164,0.005153259514752371,-0.003753775967909825,-0.0004881200658107452,-0.00156586562738752,-0.00033160797549461774,2.646430572973036e-6],[0.00024241251934659682,0.00016338608524676078,-0.00043089029527639726,-0.0008551185679646668,-0.0004964092259357651,0.00007347856437034742,-0.0006092811086369763,-0.000012839316904395253,-0.00003643262276608525]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1333122699657027,0.015569447053899474,-0.00002901930858712973,-0.0005914685845305988],[-0.0009930867278567083,-0.005218011837481639,0.0363803159421274,-0.014834721413563375,-0.13321421038150807,-0.009729639076982948,0.0007423510880614492,-0.0016108719057413268,-0.000570686308618834],[0.001202438002289691,-0.00042577622838994747,-0.012401438680889929,-0.0075275076913854265,0.004496382135917341,0.006330320389648733,0.0070131344207937305,0.002451268065240514,0.000269501639399065],[-0.0007973077707862479,0.0012413953714343917,0.0005427999413218613,0.0008112142754674572,-0.0000829341029427448,-0.001115015125020736,0.001235932329624405,0.0002658498786335215,0.000047526810980880586],[0.00023766200272437154,-0.00017205969198786245,6.155217776392498e-7,-0.0004358773593131683,0.00021106438582537074,-0.0003713145128310957,0.000319434272555671,-0.00012013145339865631,-0.00003216516461642966]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.037904440690643464, -0.02823017659244902, 0.00239446190385212, 0.0014685741532123615 ], [ -0.0015537684151909188, -0.007718293848670027, 0.036605000127075904, -0.06046495324985611, 0.0914736597629744, 0.010795804112906121, -0.0006425368477643474, 0.001005023511878836, 0.0002734689004805287 ], [ -0.00043051580766108875, 0.005514196935017191, -0.013571047727677492, -0.008457536372218848, -0.031281678538979195, -0.016529074546096346, -0.0037328918309858083, -0.000995932399422821, 0.000146973281306258 ], [ -0.00010965850354744495, -0.001666646104183006, 0.0034877095487140164, 0.005153259514752371, -0.003753775967909825, -0.0004881200658107452, -0.00156586562738752, -0.00033160797549461774, 0.000002646430572973036 ], [ 0.00024241251934659682, 0.00016338608524676078, -0.00043089029527639726, -0.0008551185679646668, -0.0004964092259357651, 0.00007347856437034742, -0.0006092811086369763, -0.000012839316904395253, -0.00003643262276608525 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1333122699657027, 0.015569447053899474, -0.00002901930858712973, -0.0005914685845305988 ], [ -0.0009930867278567083, -0.005218011837481639, 0.0363803159421274, -0.014834721413563375, -0.13321421038150807, -0.009729639076982948, 0.0007423510880614492, -0.0016108719057413268, -0.000570686308618834 ], [ 0.001202438002289691, -0.00042577622838994747, -0.012401438680889929, -0.0075275076913854265, 0.004496382135917341, 0.006330320389648733, 0.0070131344207937305, 0.002451268065240514, 0.000269501639399065 ], [ -0.0007973077707862479, 0.0012413953714343917, 0.0005427999413218613, 0.0008112142754674572, -0.0000829341029427448, -0.001115015125020736, 0.001235932329624405, 0.0002658498786335215, 0.000047526810980880586 ], [ 0.00023766200272437154, -0.00017205969198786245, 6.155217776392498e-7, -0.0004358773593131683, 0.00021106438582537074, -0.0003713145128310957, 0.000319434272555671, -0.00012013145339865631, -0.00003216516461642966 ] ]

D2C76iCuFnXFb3vefc7qWEf

{"aspect_ratio": 10.948862643399572, "major_radius": 1.0, "max_elongation": 4.093928463609325, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.31943834298288526, 0.41459916895270255, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.8932467419831489, 0.8932467610481041, 0.8932475304154283, 0.8932534844423454, 0.8932769638218464, 0.8933417689838576, 0.8934853956020583, 0.8937597764781845, 0.8942305734480993, 0.8949751839503748, 0.8960796948777285, 0.897635051025059, 0.8997327175130898, 0.9024601115682719, 0.9058960634029064, 0.9101065418509681, 0.9151408502866276, 0.9210284640809119, 0.9277766439747868, 0.9353689215402187, 0.9437645144433713, 0.9528986914417615, 0.9626840707432603, 0.9730128012323084, 0.9837595447465297, 0.9947851496118355, 1.0059408814996422, 1.0170730577829528, 1.0280279163139716, 1.0386565392515068, 1.0488196475123484, 1.0583920818426118, 1.0672667925930028, 1.075358172180048, 1.0826045820185635, 1.088969949461334, 1.094444339963727, 1.0990434452204518, 1.1028069692367208, 1.1057959409391005, 1.108089033625319, 1.1097780277656795, 1.1109626136625175, 1.1117447932192597, 1.1122232041128783, 1.1124877528907844, 1.112615002725232, 1.1126648115983988, 1.1126787484722214, 1.1126808101717982, 1.112680873426846], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7771262654987654}

10.948863

1

4.093928

[ [ 0.8932467419831489, 0.8932467610481041, 0.8932475304154283, 0.8932534844423454, 0.8932769638218464, 0.8933417689838576, 0.8934853956020583, 0.8937597764781845, 0.8942305734480993, 0.8949751839503748, 0.8960796948777285, 0.897635051025059, 0.8997327175130898, 0.9024601115682719, 0.9058960634029064, 0.9101065418509681, 0.9151408502866276, 0.9210284640809119, 0.9277766439747868, 0.9353689215402187, 0.9437645144433713, 0.9528986914417615, 0.9626840707432603, 0.9730128012323084, 0.9837595447465297, 0.9947851496118355, 1.0059408814996422, 1.0170730577829528, 1.0280279163139716, 1.0386565392515068, 1.0488196475123484, 1.0583920818426118, 1.0672667925930028, 1.075358172180048, 1.0826045820185635, 1.088969949461334, 1.094444339963727, 1.0990434452204518, 1.1028069692367208, 1.1057959409391005, 1.108089033625319, 1.1097780277656795, 1.1109626136625175, 1.1117447932192597, 1.1122232041128783, 1.1124877528907844, 1.112615002725232, 1.1126648115983988, 1.1126787484722214, 1.1126808101717982, 1.112680873426846 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.31943834298288526, 0.41459916895270255, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.777126

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DhmeKvKPDbgzbfP4xirAJSn

null

false

null

false

DHMiBvVPZvoQaogsLzKCv5y

De7WHkiGTkDXhdnhEpMyX6y

{"qi": 0.060612979678033314, "vacuum_well": -0.25886713689957025, "aspect_ratio": 6.004699860349167, "max_elongation": 6.394515453738375, "average_triangularity": -0.10783384310703958, "axis_magnetic_mirror_ratio": 0.5874672725092178, "edge_magnetic_mirror_ratio": 0.9102978383898435, "aspect_ratio_over_edge_rotational_transform": 5.375730828799606, "flux_compression_in_regions_of_bad_curvature": 2.4410168893787834, "axis_rotational_transform_over_n_field_periods": 0.2522861779166901, "edge_rotational_transform_over_n_field_periods": 0.2234003171505523, "minimum_normalized_magnetic_gradient_scale_length": 4.653417577092763}

6.0047

5.375731

-0.244189

0.587467

0.252286

0.910298

0.2234

2.441017

6.394515

4.653418

0.060613

-0.258867

{"r_cos":[[0.0,0.0,0.0,0.0,0.9866465276190032,0.3134671447426368,0.04141961464087448,-0.0018619445121703367,-0.0010282619292581417],[0.0015207364543136138,0.006436818890506898,-0.02709962379977661,-0.13097016385126184,0.15300571908307767,0.03690765412441783,0.003972840951359996,-0.0030258047295280703,-0.000648637545386024],[-0.00037835779900635463,-0.002419238043275799,-0.005633208122243846,0.020231213201527654,-0.013660677888910046,-0.0013297145797124526,-0.00021075215443753506,0.000769448433630313,0.00004306238190297749],[-0.00031631507870486224,-0.0004861472954977938,0.004152498449332262,-0.0027278426114005117,-0.0003036406909722248,-0.0029088385641707934,0.0006627473561163985,0.00045828297033304727,0.00012441748847163476],[0.0000562526166976813,0.00036147305701969177,-0.00044200287315442467,0.0003303739573207982,-0.0007628438028386967,0.0009911741001503603,-0.00003859458799796781,-0.0002108763371015777,-0.00008406215321043523]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.05951580583651922,-0.018838318963546884,-0.004686697372833124,-0.0009975041385388954],[0.000018663999077947014,0.000987408476318556,-0.009516325830626445,-0.034899952351591566,-0.1747179744696117,-0.004450986705570115,-0.0039867197539625605,0.0003914588703303013,-0.00005428020681868706],[-0.0016727214174903351,-0.0058209314060615434,0.01173007946002281,0.0010309946002567002,-0.0206232426849112,-0.005279141596600383,0.0012707237467623114,0.0007892208334213525,0.000284758152406475],[0.0011052009200817627,0.0023254793664741237,-0.0052941407625206665,0.006488631797630792,-0.001969725564580677,0.000630254423830634,-0.0008330910041508882,-0.00014214898221022974,-0.00017151812173144026],[-0.0003006557034604758,-0.00025638832780860564,0.00044242819640678583,-0.001047495086064427,-0.0001432215101587072,0.0013155216681717617,-0.0002100299838457112,0.00003426273854459358,-0.00001788854929586181]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9866465276190032, 0.3134671447426368, 0.04141961464087448, -0.0018619445121703367, -0.0010282619292581417 ], [ 0.0015207364543136138, 0.006436818890506898, -0.02709962379977661, -0.13097016385126184, 0.15300571908307767, 0.03690765412441783, 0.003972840951359996, -0.0030258047295280703, -0.000648637545386024 ], [ -0.00037835779900635463, -0.002419238043275799, -0.005633208122243846, 0.020231213201527654, -0.013660677888910046, -0.0013297145797124526, -0.00021075215443753506, 0.000769448433630313, 0.00004306238190297749 ], [ -0.00031631507870486224, -0.0004861472954977938, 0.004152498449332262, -0.0027278426114005117, -0.0003036406909722248, -0.0029088385641707934, 0.0006627473561163985, 0.00045828297033304727, 0.00012441748847163476 ], [ 0.0000562526166976813, 0.00036147305701969177, -0.00044200287315442467, 0.0003303739573207982, -0.0007628438028386967, 0.0009911741001503603, -0.00003859458799796781, -0.0002108763371015777, -0.00008406215321043523 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.05951580583651922, -0.018838318963546884, -0.004686697372833124, -0.0009975041385388954 ], [ 0.000018663999077947014, 0.000987408476318556, -0.009516325830626445, -0.034899952351591566, -0.1747179744696117, -0.004450986705570115, -0.0039867197539625605, 0.0003914588703303013, -0.00005428020681868706 ], [ -0.0016727214174903351, -0.0058209314060615434, 0.01173007946002281, 0.0010309946002567002, -0.0206232426849112, -0.005279141596600383, 0.0012707237467623114, 0.0007892208334213525, 0.000284758152406475 ], [ 0.0011052009200817627, 0.0023254793664741237, -0.0052941407625206665, 0.006488631797630792, -0.001969725564580677, 0.000630254423830634, -0.0008330910041508882, -0.00014214898221022974, -0.00017151812173144026 ], [ -0.0003006557034604758, -0.00025638832780860564, 0.00044242819640678583, -0.001047495086064427, -0.0001432215101587072, 0.0013155216681717617, -0.0002100299838457112, 0.00003426273854459358, -0.00001788854929586181 ] ]

DTGEwhDpWLHjm7JUSJtgnt6

{"aspect_ratio": 5.067565191108887, "major_radius": 1.0, "max_elongation": 5.3321169994976145, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.3806761162050785, -0.19667639213724042, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7017684202273502, 0.7024808882538242, 0.7056056817202904, 0.7117322107137453, 0.720952334289224, 0.7331124614952371, 0.7479194962620079, 0.765001797800415, 0.7839485802711038, 0.8043368110873269, 0.8257500135046045, 0.8477914443227502, 0.870093177021399, 0.8923221101923291, 0.9141836200536837, 0.9354233862098369, 0.9558277938426922, 0.9752232280110416, 0.9934745126017182, 1.0104826994183935, 1.0261823768056593, 1.0405386388292164, 1.0535438332200984, 1.0652141875859353, 1.0755863977832454, 1.0847142491121418, 1.0926653296169087, 1.0995178848672242, 1.105357854866098, 1.1102761259612788, 1.1143660236565658, 1.1177210658947085, 1.1204329906087236, 1.1225900660288959, 1.1242756873199424, 1.1255672585508252, 1.1265353547223207, 1.1272431545561727, 1.127746130952094, 1.128091982417553, 1.1283207853464745, 1.1284653437461416, 1.1285517098683977, 1.128599846175156, 1.1286243961436586, 1.1286355285786154, 1.1286398173300667, 1.1286411155987115, 1.1286413813190916, 1.1286414074047253, 1.128641407834376], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4966066130871625}

5.067565

1

5.332117

[ [ 0.7017684202273502, 0.7024808882538242, 0.7056056817202904, 0.7117322107137453, 0.720952334289224, 0.7331124614952371, 0.7479194962620079, 0.765001797800415, 0.7839485802711038, 0.8043368110873269, 0.8257500135046045, 0.8477914443227502, 0.870093177021399, 0.8923221101923291, 0.9141836200536837, 0.9354233862098369, 0.9558277938426922, 0.9752232280110416, 0.9934745126017182, 1.0104826994183935, 1.0261823768056593, 1.0405386388292164, 1.0535438332200984, 1.0652141875859353, 1.0755863977832454, 1.0847142491121418, 1.0926653296169087, 1.0995178848672242, 1.105357854866098, 1.1102761259612788, 1.1143660236565658, 1.1177210658947085, 1.1204329906087236, 1.1225900660288959, 1.1242756873199424, 1.1255672585508252, 1.1265353547223207, 1.1272431545561727, 1.127746130952094, 1.128091982417553, 1.1283207853464745, 1.1284653437461416, 1.1285517098683977, 1.128599846175156, 1.1286243961436586, 1.1286355285786154, 1.1286398173300667, 1.1286411155987115, 1.1286413813190916, 1.1286414074047253, 1.128641407834376 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.3806761162050785, -0.19667639213724042, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.496607

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DMQf9CvPPyUks5UgYMFTjaG

null

false

null

false

DLDjN9QMuVD9fnEkZHWW9bz

DbM9yag6vhWdnmwh7JwuwK5

{"qi": 0.0014420039613847616, "vacuum_well": -0.10688938395137514, "aspect_ratio": 9.631585454380824, "max_elongation": 6.620971128592038, "average_triangularity": -0.3307433241723052, "axis_magnetic_mirror_ratio": 0.30677394832564686, "edge_magnetic_mirror_ratio": 0.3430167206983771, "aspect_ratio_over_edge_rotational_transform": 13.718163879732899, "flux_compression_in_regions_of_bad_curvature": 1.3728766573271232, "axis_rotational_transform_over_n_field_periods": 0.20025775325780615, "edge_rotational_transform_over_n_field_periods": 0.17552614072154452, "minimum_normalized_magnetic_gradient_scale_length": 7.937606822847202}

9.631585

13.718164

-0.537759

0.306774

0.200258

0.343017

0.175526

1.372877

6.620971

7.937607

0.001442

-0.106889

{"r_cos":[[0.0,0.0,0.0,0.0,0.9965842119679222,0.017802882256228444,-0.0056365582135659755,-0.0006793897427758832,-0.00013468295451484055],[0.0002652201953943302,0.00028658380549315284,-0.006124449580593407,-0.0729069080861616,0.1086667633109565,0.006069604122527959,-0.0031422222423905365,0.0010189923494099994,0.0002729228599622403],[-0.0003019882210823667,-0.001761600695026846,-0.004125475904587488,0.01647091842799018,-0.013373360473705936,0.0076162966095825665,-0.00536333956646148,0.000321828306585336,0.00022994851955085904],[-0.00044877152538797644,-0.00033628510950657955,0.0030853821771053935,-0.004519906021016798,0.004683853412604757,-0.0008570588114326758,0.0001050588649231703,0.00019495654103657105,0.00006862294582687207],[0.000024074854169072347,0.00028951571009125235,-0.0012360818588187873,0.00020041255411161647,0.00006843296333083806,-0.00010655759337596486,-0.00018404229587723345,0.0001126268404361418,-0.0000317556658515048]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08297975409037492,0.002899171298576989,0.0026233937781011607,0.0004416437134922898],[0.00028567329966885154,0.0007088914462113294,0.003626455586966517,-0.07497095801425893,-0.1659995557245331,0.025050893538794645,-0.002478984027315153,-0.0006964375636347439,-0.0000949617669186373],[0.00011847505608884149,0.004106777721526278,0.000855963035055262,0.019866667984313597,-0.038711537893702186,0.00007665447275894896,0.003194002497883993,-0.0012194193309011878,-0.000012992687650872978],[0.0001428333360315828,-0.0015623544923093402,0.0012718817275427826,0.004455943816275131,-0.012002186668136681,0.0024518918328049148,0.00010651813057357333,0.00003997050553672832,0.000012228098341000049],[-0.00021411929694978055,-0.00015664262695096103,0.001245066756369519,0.0010277797678774063,-0.0025685997344067056,0.00018666654098368612,0.00030283308892056044,-0.0001841739778903237,0.00006928961036544476]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9965842119679222, 0.017802882256228444, -0.0056365582135659755, -0.0006793897427758832, -0.00013468295451484055 ], [ 0.0002652201953943302, 0.00028658380549315284, -0.006124449580593407, -0.0729069080861616, 0.1086667633109565, 0.006069604122527959, -0.0031422222423905365, 0.0010189923494099994, 0.0002729228599622403 ], [ -0.0003019882210823667, -0.001761600695026846, -0.004125475904587488, 0.01647091842799018, -0.013373360473705936, 0.0076162966095825665, -0.00536333956646148, 0.000321828306585336, 0.00022994851955085904 ], [ -0.00044877152538797644, -0.00033628510950657955, 0.0030853821771053935, -0.004519906021016798, 0.004683853412604757, -0.0008570588114326758, 0.0001050588649231703, 0.00019495654103657105, 0.00006862294582687207 ], [ 0.000024074854169072347, 0.00028951571009125235, -0.0012360818588187873, 0.00020041255411161647, 0.00006843296333083806, -0.00010655759337596486, -0.00018404229587723345, 0.0001126268404361418, -0.0000317556658515048 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08297975409037492, 0.002899171298576989, 0.0026233937781011607, 0.0004416437134922898 ], [ 0.00028567329966885154, 0.0007088914462113294, 0.003626455586966517, -0.07497095801425893, -0.1659995557245331, 0.025050893538794645, -0.002478984027315153, -0.0006964375636347439, -0.0000949617669186373 ], [ 0.00011847505608884149, 0.004106777721526278, 0.000855963035055262, 0.019866667984313597, -0.038711537893702186, 0.00007665447275894896, 0.003194002497883993, -0.0012194193309011878, -0.000012992687650872978 ], [ 0.0001428333360315828, -0.0015623544923093402, 0.0012718817275427826, 0.004455943816275131, -0.012002186668136681, 0.0024518918328049148, 0.00010651813057357333, 0.00003997050553672832, 0.000012228098341000049 ], [ -0.00021411929694978055, -0.00015664262695096103, 0.001245066756369519, 0.0010277797678774063, -0.0025685997344067056, 0.00018666654098368612, 0.00030283308892056044, -0.0001841739778903237, 0.00006928961036544476 ] ]

DFptEfeX2kU64vVARY4EPQN

{"aspect_ratio": 10.145881013886015, "major_radius": 1.0, "max_elongation": 6.105388126074049, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.14979041836432477, 0.261495681765867, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.7137753875372828, 0.7137754764663977, 0.7137782285418558, 0.7137964603807269, 0.7138613085643692, 0.7140276745489297, 0.7143770437286896, 0.7150179541180741, 0.7160844353457477, 0.7177327510861322, 0.7201367762723502, 0.7234823310104699, 0.7279607790349812, 0.7337621813827184, 0.7410682766334323, 0.7500455381453605, 0.7608385365866832, 0.7735638129963864, 0.7883044437954655, 0.8051054547582861, 0.8239702160583015, 0.844857925213533, 0.8676822591504513, 0.8923112507438019, 0.9185684191299007, 0.9462351568816115, 0.975054350820276, 1.004735186866788, 1.0349590629432304, 1.0653865075710118, 1.0956649755158647, 1.1254373656523504, 1.1543510802135166, 1.1820674188150408, 1.2082710751674648, 1.2326794792985223, 1.255051703502354, 1.2751966262422263, 1.2929800250237842, 1.3083302470460774, 1.3212420855258942, 1.331778470396456, 1.3400695652140593, 1.3463088484901915, 1.350745748772026, 1.3536744010992738, 1.3554181024630565, 1.3563090745348667, 1.3566632135222352, 1.3567496754653474, 1.3567556317261484], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8103947950889498}

10.145881

1

6.105388

[ [ 0.7137753875372828, 0.7137754764663977, 0.7137782285418558, 0.7137964603807269, 0.7138613085643692, 0.7140276745489297, 0.7143770437286896, 0.7150179541180741, 0.7160844353457477, 0.7177327510861322, 0.7201367762723502, 0.7234823310104699, 0.7279607790349812, 0.7337621813827184, 0.7410682766334323, 0.7500455381453605, 0.7608385365866832, 0.7735638129963864, 0.7883044437954655, 0.8051054547582861, 0.8239702160583015, 0.844857925213533, 0.8676822591504513, 0.8923112507438019, 0.9185684191299007, 0.9462351568816115, 0.975054350820276, 1.004735186866788, 1.0349590629432304, 1.0653865075710118, 1.0956649755158647, 1.1254373656523504, 1.1543510802135166, 1.1820674188150408, 1.2082710751674648, 1.2326794792985223, 1.255051703502354, 1.2751966262422263, 1.2929800250237842, 1.3083302470460774, 1.3212420855258942, 1.331778470396456, 1.3400695652140593, 1.3463088484901915, 1.350745748772026, 1.3536744010992738, 1.3554181024630565, 1.3563090745348667, 1.3566632135222352, 1.3567496754653474, 1.3567556317261484 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.14979041836432477, 0.261495681765867, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.810395

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

Dcgawt3afebhej5YAZ3HJyr

null

false

null

false

DHj2VttzAVxWzWREuhQbTo4

DGF54GUQBcvgP4hpNh4aeGp

{"qi": 0.025556547260915604, "vacuum_well": -0.15137371562721713, "aspect_ratio": 10.123747102056898, "max_elongation": 4.58046156389144, "average_triangularity": -0.5233951832315669, "axis_magnetic_mirror_ratio": 0.07744876637098767, "edge_magnetic_mirror_ratio": 0.17526877701013194, "aspect_ratio_over_edge_rotational_transform": 11.840916137169078, "flux_compression_in_regions_of_bad_curvature": 1.2681238965470119, "axis_rotational_transform_over_n_field_periods": 0.19254029189244318, "edge_rotational_transform_over_n_field_periods": 0.2849933508742081, "minimum_normalized_magnetic_gradient_scale_length": 5.298606197982508}

10.123747

11.840916

-0.8515

0.077449

0.19254

0.175269

0.284993

1.268124

4.580462

5.298606

0.025557

-0.151374

{"r_cos":[[0.0,0.0,0.0,0.0,0.9992017143196289,-0.056828607834896676,-0.01711328602685372,0.008470512591790883,0.00013128047516365856],[0.00041574135157909826,-0.001977655412493087,0.009648838512610561,-0.025935777610887938,0.10296805818735212,-0.02911034026237866,0.008680059911700115,-0.0015062582499659996,0.0003730346467347913],[-0.0001750096227951355,-0.004608094095653808,-0.021470595870871873,-0.011579849011871217,-0.00644934493572218,0.005754920464364098,-0.0002653178634393315,-0.00008414748276935587,0.00007275901754169443],[0.00021495512146180748,0.004441674215303858,0.0031938902355941436,-0.00773633775907809,-0.0006782963052259034,-0.0005274963519844773,0.0005646016411567972,-0.00018046142800852384,0.000055935121805449217],[0.0003797458173353204,-0.0007131223683646133,-0.0004594421470254419,0.0024756282538842844,-0.0012409467297398633,-0.0002694618304137403,0.00038801552917263265,-0.00008058549320733542,0.0000117384149418871]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.10560100569547105,0.01755345679678051,-0.004360088394146028,0.00013461736695815144],[0.0006638102024374127,0.0004343549091817415,0.009760660478521586,-0.09457962772701055,-0.1106309791231065,0.04494682684422667,-0.010433633886142513,0.0011462612097988458,-0.00007470516748367542],[0.00038500602886258823,-0.003509039925173445,-0.015794561777155387,0.003020670161662785,-0.0001478292913956314,-0.006802581033865133,0.0010391936635885573,0.00031334231433826775,-0.000022109855512231262],[-0.00011616174520980336,0.004215874828522293,0.003681873637611555,0.004625606590642704,-0.0002191863422243119,0.00007972431632287912,-0.0003376329278510148,0.0003445697084022267,-0.00004424046328560995],[0.0003881360362070277,-0.0007109418335451207,-0.000024804520300872524,-0.0006118512859730389,0.00026078809289178375,0.00034855351452202,-0.00032214514749151057,0.00008651607414003951,-0.000011257869901257531]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9992017143196289, -0.056828607834896676, -0.01711328602685372, 0.008470512591790883, 0.00013128047516365856 ], [ 0.00041574135157909826, -0.001977655412493087, 0.009648838512610561, -0.025935777610887938, 0.10296805818735212, -0.02911034026237866, 0.008680059911700115, -0.0015062582499659996, 0.0003730346467347913 ], [ -0.0001750096227951355, -0.004608094095653808, -0.021470595870871873, -0.011579849011871217, -0.00644934493572218, 0.005754920464364098, -0.0002653178634393315, -0.00008414748276935587, 0.00007275901754169443 ], [ 0.00021495512146180748, 0.004441674215303858, 0.0031938902355941436, -0.00773633775907809, -0.0006782963052259034, -0.0005274963519844773, 0.0005646016411567972, -0.00018046142800852384, 0.000055935121805449217 ], [ 0.0003797458173353204, -0.0007131223683646133, -0.0004594421470254419, 0.0024756282538842844, -0.0012409467297398633, -0.0002694618304137403, 0.00038801552917263265, -0.00008058549320733542, 0.0000117384149418871 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.10560100569547105, 0.01755345679678051, -0.004360088394146028, 0.00013461736695815144 ], [ 0.0006638102024374127, 0.0004343549091817415, 0.009760660478521586, -0.09457962772701055, -0.1106309791231065, 0.04494682684422667, -0.010433633886142513, 0.0011462612097988458, -0.00007470516748367542 ], [ 0.00038500602886258823, -0.003509039925173445, -0.015794561777155387, 0.003020670161662785, -0.0001478292913956314, -0.006802581033865133, 0.0010391936635885573, 0.00031334231433826775, -0.000022109855512231262 ], [ -0.00011616174520980336, 0.004215874828522293, 0.003681873637611555, 0.004625606590642704, -0.0002191863422243119, 0.00007972431632287912, -0.0003376329278510148, 0.0003445697084022267, -0.00004424046328560995 ], [ 0.0003881360362070277, -0.0007109418335451207, -0.000024804520300872524, -0.0006118512859730389, 0.00026078809289178375, 0.00034855351452202, -0.00032214514749151057, 0.00008651607414003951, -0.000011257869901257531 ] ]

DB6VamWAgqFiXGRpydrp6SY

{"aspect_ratio": 10.103292939945796, "major_radius": 1.0, "max_elongation": 4.186314962999738, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1769690088575864, -0.15463835563291595, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.8935440682723438, 0.8935441022789938, 0.8935451398944554, 0.8935519570620212, 0.8935760720188678, 0.8936376982200377, 0.8937667435778096, 0.8940029656225237, 0.8943954019228355, 0.8950011963612389, 0.895883939476399, 0.8971116367488559, 0.8987544131835782, 0.9008820562300812, 0.9035614922084904, 0.90685428412117, 0.9108142311185732, 0.9154851420196818, 0.920898847208167, 0.9270735049693298, 0.934012249925741, 0.9417022226911385, 0.9501140112081099, 0.9592015254777597, 0.9689023185388347, 0.9791383576176999, 0.9898172403555925, 1.0008338419309957, 1.0120723697369616, 1.0234087930490428, 1.034713605831631, 1.0458548714805893, 1.0567014888889932, 1.067126609750614, 1.0770111274816017, 1.0862471485427312, 1.0947413472792495, 1.1024180956578205, 1.109222249462954, 1.1151214626080377, 1.1201078912033118, 1.1241991388823425, 1.1274382845858724, 1.1298928234848735, 1.1316523409080042, 1.1328247278767682, 1.1335307348765786, 1.133896647262814, 1.134044849974086, 1.1340820275175303, 1.1340847033962693], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5988144545515612}

10.103293

1

4.186315

[ [ 0.8935440682723438, 0.8935441022789938, 0.8935451398944554, 0.8935519570620212, 0.8935760720188678, 0.8936376982200377, 0.8937667435778096, 0.8940029656225237, 0.8943954019228355, 0.8950011963612389, 0.895883939476399, 0.8971116367488559, 0.8987544131835782, 0.9008820562300812, 0.9035614922084904, 0.90685428412117, 0.9108142311185732, 0.9154851420196818, 0.920898847208167, 0.9270735049693298, 0.934012249925741, 0.9417022226911385, 0.9501140112081099, 0.9592015254777597, 0.9689023185388347, 0.9791383576176999, 0.9898172403555925, 1.0008338419309957, 1.0120723697369616, 1.0234087930490428, 1.034713605831631, 1.0458548714805893, 1.0567014888889932, 1.067126609750614, 1.0770111274816017, 1.0862471485427312, 1.0947413472792495, 1.1024180956578205, 1.109222249462954, 1.1151214626080377, 1.1201078912033118, 1.1241991388823425, 1.1274382845858724, 1.1298928234848735, 1.1316523409080042, 1.1328247278767682, 1.1335307348765786, 1.133896647262814, 1.134044849974086, 1.1340820275175303, 1.1340847033962693 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.1769690088575864, -0.15463835563291595, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.598814

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DTTxCYMaduoarb5v9cc7FjN

null

false

null

false

D5ECg7UHaBBzWdJRuvkjicU

DbJ6PdAgwLAYzdDbGEZ53GH

{"qi": 0.002123092543529129, "vacuum_well": 0.00790364092095271, "aspect_ratio": 9.533688391969768, "max_elongation": 6.7091473154678605, "average_triangularity": 0.05728205432181724, "axis_magnetic_mirror_ratio": 0.3307519122755087, "edge_magnetic_mirror_ratio": 0.36246730043879843, "aspect_ratio_over_edge_rotational_transform": 144.82636567111808, "flux_compression_in_regions_of_bad_curvature": 0.665634811376794, "axis_rotational_transform_over_n_field_periods": 0.11411457780970514, "edge_rotational_transform_over_n_field_periods": 0.06582840319020046, "minimum_normalized_magnetic_gradient_scale_length": 3.368767525352375}

9.533688

144.826366

0.035193

0.330752

0.114115

0.362467

0.065828

0.665635

6.709147

3.368768

0.002123

0.007904

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.005110526678667342,-0.20665306228613212,-0.007726364243884171,0.005415723930626375],[0.0019407106370437504,-0.014318038196548605,0.02576743953801967,-0.004081688241100986,0.06417583243109136,-0.026381275783130032,-0.011484749937092063,0.0004509257391882137,-0.0018656928564852826],[-0.0001561781348088032,0.0024849707117862285,-0.00600666155879867,-0.00012621036912183246,0.009752718870599777,-0.0015863810996762017,-0.0006018439183477498,-0.001691615572534189,0.000043210246658218564],[0.0002849933471649381,-0.0004889959031659793,0.001955929281336422,-0.0018654003967823185,-0.004606763241082572,0.001915698189281175,0.0012538225610689072,0.0006634669098197426,0.00038643609848432794],[0.0004899706007829986,-0.0007377330951179974,0.0003214257541001431,0.0002312131885676403,-0.00014721334201405097,-0.00009805083226002232,0.0001898750354711819,0.000032113857690785645,0.00009010809917362871]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.005799799047645854,0.008174022804411122,-0.007601947597902655,0.0012181956171251236],[0.0017935420313647706,-0.015259604069255157,0.049328476977034824,-0.009248165930648755,-0.20509851570353718,-0.011638693806527572,0.004567301497346271,-0.0055244820538140746,0.0017890457678406422],[-0.001214785063579838,0.002754370672099985,-0.001760849820806144,-0.004219922992735296,0.0081229541398265,-0.005862297031190051,-0.0036232768664884334,0.0022047595057545872,0.000056439013377427997],[0.0002369858976912501,0.000510774370895078,-0.0021520512279416927,-0.008814506678049906,0.01340350109172781,0.006026816825339266,0.00503530462687312,0.0017121102592028677,-0.00018399901027865018],[-0.0002345231011056019,-0.0011044378345307932,0.0003316470076601912,0.000299504984859303,0.00001800740559211025,0.000023075657506226174,0.0000604669777856582,-0.000033891779392759076,-0.00009123667773793757]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.005110526678667342, -0.20665306228613212, -0.007726364243884171, 0.005415723930626375 ], [ 0.0019407106370437504, -0.014318038196548605, 0.02576743953801967, -0.004081688241100986, 0.06417583243109136, -0.026381275783130032, -0.011484749937092063, 0.0004509257391882137, -0.0018656928564852826 ], [ -0.0001561781348088032, 0.0024849707117862285, -0.00600666155879867, -0.00012621036912183246, 0.009752718870599777, -0.0015863810996762017, -0.0006018439183477498, -0.001691615572534189, 0.000043210246658218564 ], [ 0.0002849933471649381, -0.0004889959031659793, 0.001955929281336422, -0.0018654003967823185, -0.004606763241082572, 0.001915698189281175, 0.0012538225610689072, 0.0006634669098197426, 0.00038643609848432794 ], [ 0.0004899706007829986, -0.0007377330951179974, 0.0003214257541001431, 0.0002312131885676403, -0.00014721334201405097, -0.00009805083226002232, 0.0001898750354711819, 0.000032113857690785645, 0.00009010809917362871 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.005799799047645854, 0.008174022804411122, -0.007601947597902655, 0.0012181956171251236 ], [ 0.0017935420313647706, -0.015259604069255157, 0.049328476977034824, -0.009248165930648755, -0.20509851570353718, -0.011638693806527572, 0.004567301497346271, -0.0055244820538140746, 0.0017890457678406422 ], [ -0.001214785063579838, 0.002754370672099985, -0.001760849820806144, -0.004219922992735296, 0.0081229541398265, -0.005862297031190051, -0.0036232768664884334, 0.0022047595057545872, 0.000056439013377427997 ], [ 0.0002369858976912501, 0.000510774370895078, -0.0021520512279416927, -0.008814506678049906, 0.01340350109172781, 0.006026816825339266, 0.00503530462687312, 0.0017121102592028677, -0.00018399901027865018 ], [ -0.0002345231011056019, -0.0011044378345307932, 0.0003316470076601912, 0.000299504984859303, 0.00001800740559211025, 0.000023075657506226174, 0.0000604669777856582, -0.000033891779392759076, -0.00009123667773793757 ] ]

DAHZEsmoWgwZJ2ASbBgoHU3

{"aspect_ratio": 9.937613973272654, "major_radius": 1.0, "max_elongation": 6.242353133305217, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.10332822012392306, 0.32325924449808635, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.7504255700558543, 0.7504256033953549, 0.7504265859757105, 0.7504329790845148, 0.7504556507018211, 0.7505141484041652, 0.7506384101507831, 0.7508699525499558, 0.7512625700077445, 0.7518825754516392, 0.7528086119899815, 0.7541310642333457, 0.7559510977810805, 0.758379355427345, 0.7615343388941168, 0.7655405053146438, 0.7705261082488958, 0.7766208137031987, 0.7839531224475845, 0.7926476308804286, 0.8028221637896326, 0.814584813616674, 0.828030922262965, 0.8432400431114704, 0.8602729228013826, 0.8791685444289193, 0.899941276302336, 0.9225781732164531, 0.9470364805109182, 0.9732413950391487, 1.001084141733871, 1.030420429884034, 1.061069359767381, 1.0928128582239212, 1.1253957315335097, 1.1585264361683976, 1.1918786834708255, 1.225094014278518, 1.2577855058050469, 1.289542808457247, 1.3199387591253653, 1.348537886994048, 1.3749072303553946, 1.3986300402749046, 1.4193232012567876, 1.4366596365457105, 1.450397781169402, 1.460421897533066, 1.466801096261579, 1.469887535997557, 1.4705415353853721], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.1299952962396795}

9.937614

1

6.242353

[ [ 0.7504255700558543, 0.7504256033953549, 0.7504265859757105, 0.7504329790845148, 0.7504556507018211, 0.7505141484041652, 0.7506384101507831, 0.7508699525499558, 0.7512625700077445, 0.7518825754516392, 0.7528086119899815, 0.7541310642333457, 0.7559510977810805, 0.758379355427345, 0.7615343388941168, 0.7655405053146438, 0.7705261082488958, 0.7766208137031987, 0.7839531224475845, 0.7926476308804286, 0.8028221637896326, 0.814584813616674, 0.828030922262965, 0.8432400431114704, 0.8602729228013826, 0.8791685444289193, 0.899941276302336, 0.9225781732164531, 0.9470364805109182, 0.9732413950391487, 1.001084141733871, 1.030420429884034, 1.061069359767381, 1.0928128582239212, 1.1253957315335097, 1.1585264361683976, 1.1918786834708255, 1.225094014278518, 1.2577855058050469, 1.289542808457247, 1.3199387591253653, 1.348537886994048, 1.3749072303553946, 1.3986300402749046, 1.4193232012567876, 1.4366596365457105, 1.450397781169402, 1.460421897533066, 1.466801096261579, 1.469887535997557, 1.4705415353853721 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ 0.10332822012392306, 0.32325924449808635, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.129995

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DnsLSkAzi37Jk9rgSpbFW5c

null

false

null

false

DfB8HKaTzQRoJd5wuhB7QpZ

DPgUy6dmMkUvWsMGrda5STm

{"qi": 0.016214714550293257, "vacuum_well": -0.10713152181048559, "aspect_ratio": 10.099738984322885, "max_elongation": 4.536197966181099, "average_triangularity": -0.5626134581477328, "axis_magnetic_mirror_ratio": 0.1260312725902235, "edge_magnetic_mirror_ratio": 0.1723126401414374, "aspect_ratio_over_edge_rotational_transform": 18.07573973485994, "flux_compression_in_regions_of_bad_curvature": 1.2188534218322649, "axis_rotational_transform_over_n_field_periods": 0.2536469562578613, "edge_rotational_transform_over_n_field_periods": 0.2793727706989786, "minimum_normalized_magnetic_gradient_scale_length": 5.33342874651198}

10.099739

18.07574

-0.832785

0.126031

0.253647

0.172313

0.279373

1.218853

4.536198

5.333429

0.016215

-0.107132

{"r_cos":[[0.0,0.0,0.0,0.0,0.9932634915730373,-0.07869935514187215,-0.05699047198979719,0.006834698959803601,0.0018343552885710104],[-0.0014251677712632297,0.004676197927110273,0.040643815035139655,-0.006396058562067687,0.08477883047476713,-0.040257583649987196,0.006184867999204764,0.0028705693332052077,-0.0006568481958471799],[0.0004869352130108778,-0.007223017070694396,-0.010595698167347754,-0.003779787652721417,-0.005681683409711365,0.007336268792401537,-0.008091692386518707,0.003642969557624733,-0.0010293235199931399],[-0.0005918715478898158,0.0002655438805756091,-0.0005747178048987226,-0.003178255396580469,0.0002597902336555526,-0.0017571251056492424,0.0010860582115554654,-0.0004843310171880837,0.0002405922255345796],[-0.000014773905833759444,0.00005374959706002222,0.0007274081244164824,-0.0005075601879396056,-0.0007391598675231971,0.0005571999166826478,-0.00026198040138389886,0.00013640520424616315,-5.983143242416666e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1044224969261925,0.04293808158686679,-0.0039979656054938825,-0.000783719615395034],[-0.000025292992543702295,0.008522770928979472,0.03142821380305684,-0.07539773778985029,-0.11561999710291554,0.053870682200751085,-0.00643496675835557,-0.0011862035428231005,0.00006756665600725872],[0.00025982375605919535,-0.008123429635850339,-0.012513840482213101,0.014767961527462117,-0.018614532917875872,0.0018035135082910877,0.005435035043698626,-0.0031556564837644523,0.0008557279657888556],[-0.0011530339887833021,-0.0005531990485139822,-0.0009646765790343734,0.0012200345309847534,-0.001708366043100749,0.0032402970070216685,-0.001334290493554376,0.000900791209479458,-0.00023908744180996288],[-0.00023089011873931383,-0.00003590833463159535,0.00021059741323747752,-0.0008230891756790368,0.0013712980850447017,-0.0013070498460634292,0.0007191206055728608,-0.0003339492062865002,0.00007352323463631735]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9932634915730373, -0.07869935514187215, -0.05699047198979719, 0.006834698959803601, 0.0018343552885710104 ], [ -0.0014251677712632297, 0.004676197927110273, 0.040643815035139655, -0.006396058562067687, 0.08477883047476713, -0.040257583649987196, 0.006184867999204764, 0.0028705693332052077, -0.0006568481958471799 ], [ 0.0004869352130108778, -0.007223017070694396, -0.010595698167347754, -0.003779787652721417, -0.005681683409711365, 0.007336268792401537, -0.008091692386518707, 0.003642969557624733, -0.0010293235199931399 ], [ -0.0005918715478898158, 0.0002655438805756091, -0.0005747178048987226, -0.003178255396580469, 0.0002597902336555526, -0.0017571251056492424, 0.0010860582115554654, -0.0004843310171880837, 0.0002405922255345796 ], [ -0.000014773905833759444, 0.00005374959706002222, 0.0007274081244164824, -0.0005075601879396056, -0.0007391598675231971, 0.0005571999166826478, -0.00026198040138389886, 0.00013640520424616315, -0.000005983143242416666 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1044224969261925, 0.04293808158686679, -0.0039979656054938825, -0.000783719615395034 ], [ -0.000025292992543702295, 0.008522770928979472, 0.03142821380305684, -0.07539773778985029, -0.11561999710291554, 0.053870682200751085, -0.00643496675835557, -0.0011862035428231005, 0.00006756665600725872 ], [ 0.00025982375605919535, -0.008123429635850339, -0.012513840482213101, 0.014767961527462117, -0.018614532917875872, 0.0018035135082910877, 0.005435035043698626, -0.0031556564837644523, 0.0008557279657888556 ], [ -0.0011530339887833021, -0.0005531990485139822, -0.0009646765790343734, 0.0012200345309847534, -0.001708366043100749, 0.0032402970070216685, -0.001334290493554376, 0.000900791209479458, -0.00023908744180996288 ], [ -0.00023089011873931383, -0.00003590833463159535, 0.00021059741323747752, -0.0008230891756790368, 0.0013712980850447017, -0.0013070498460634292, 0.0007191206055728608, -0.0003339492062865002, 0.00007352323463631735 ] ]

DA3zX94ZSS5UYQSe9qTb27G

{"aspect_ratio": 11.894977185338412, "major_radius": 1.0, "max_elongation": 4.286242606934148, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.31844495160608016, 0.11952320488311698, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.8722493257450593, 0.8722493332350449, 0.8722497502597933, 0.8722536671796834, 0.87227133110337, 0.8723251991683664, 0.8724542334295217, 0.8727166232611433, 0.87319052681777, 0.8739727322593389, 0.8751753698558219, 0.8769209703381674, 0.8793362731509027, 0.8825452493573717, 0.8866618256347677, 0.8917827850949144, 0.8979812839671096, 0.9053013663155532, 0.9137537872660877, 0.9233133735451848, 0.9339180629014543, 0.945469675169146, 0.9578363809078845, 0.9708567518658756, 0.9843452037119192, 0.9980985779088739, 1.011903558200522, 1.0255445794962412, 1.038811864101494, 1.0515092129887291, 1.0634611884542076, 1.0745193489666, 1.0845672367645012, 1.0935238728509706, 1.1013455810686483, 1.1080260410656977, 1.113594556852828, 1.1181126204807907, 1.1216689457894489, 1.1243732412909617, 1.1263490795481972, 1.1277262977350602, 1.1286334245216938, 1.1291906652715, 1.1295039830169813, 1.1296607777882668, 1.1297275809280323, 1.1297500309819188, 1.1297551667547956, 1.129755737333425, 1.1297557482983593], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.585376034600932}

11.894977

1

4.286243

[ [ 0.8722493257450593, 0.8722493332350449, 0.8722497502597933, 0.8722536671796834, 0.87227133110337, 0.8723251991683664, 0.8724542334295217, 0.8727166232611433, 0.87319052681777, 0.8739727322593389, 0.8751753698558219, 0.8769209703381674, 0.8793362731509027, 0.8825452493573717, 0.8866618256347677, 0.8917827850949144, 0.8979812839671096, 0.9053013663155532, 0.9137537872660877, 0.9233133735451848, 0.9339180629014543, 0.945469675169146, 0.9578363809078845, 0.9708567518658756, 0.9843452037119192, 0.9980985779088739, 1.011903558200522, 1.0255445794962412, 1.038811864101494, 1.0515092129887291, 1.0634611884542076, 1.0745193489666, 1.0845672367645012, 1.0935238728509706, 1.1013455810686483, 1.1080260410656977, 1.113594556852828, 1.1181126204807907, 1.1216689457894489, 1.1243732412909617, 1.1263490795481972, 1.1277262977350602, 1.1286334245216938, 1.1291906652715, 1.1295039830169813, 1.1296607777882668, 1.1297275809280323, 1.1297500309819188, 1.1297551667547956, 1.129755737333425, 1.1297557482983593 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.31844495160608016, 0.11952320488311698, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.585376

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

Des6EULLi8sAebkouDLNCNv

null

false

null

false

D3TycJJsXPSmBbvXLknrttY

DcUJBLr5c8ECsu4N3upzLbD

{"qi": 0.025786743905950888, "vacuum_well": -0.14862580665149336, "aspect_ratio": 8.621934971101101, "max_elongation": 4.736533298757725, "average_triangularity": -0.4377123783300384, "axis_magnetic_mirror_ratio": 0.40118145072963, "edge_magnetic_mirror_ratio": 0.7478449382754395, "aspect_ratio_over_edge_rotational_transform": -7.639662150626558, "flux_compression_in_regions_of_bad_curvature": 1.1473776879234756, "axis_rotational_transform_over_n_field_periods": -0.37148857897954235, "edge_rotational_transform_over_n_field_periods": -0.37619180888315346, "minimum_normalized_magnetic_gradient_scale_length": 3.073207968101598}

8.621935

-7.639662

-0.576144

0.401181

-0.371489

0.747845

-0.376192

1.147378

4.736533

3.073208

0.025787

-0.148626

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.11668761067933489,-0.04309438397138596,-0.004452824118552459,0.001856034815935307],[-0.00007364854383577117,-0.0006506095482127702,0.0015059280122182543,0.013899941907834668,-0.1146470902000397,0.01956156402003579,-0.05937809464176369,-0.009667069396225888,0.00003183655842873385],[0.00042872091144242853,-0.0005388178554290007,-0.004644802878191872,0.014078404917661743,-0.04004344565127341,0.01747859563502703,-0.008315690717255615,-0.0036896422059824897,-0.00021061904758101562],[-0.00028364525663799066,0.0009206132539972085,-0.0017641181880825854,-0.00009698072979394748,0.00391943400230369,-0.0031054753357668166,0.00021010500064273623,-0.002453133849341627,-0.0009357489475474679],[0.00006419303049025001,-0.00005108223828752408,-0.00010543818213820368,0.001011784627363495,-0.002252183265012894,0.0013022405944369184,-0.00006490815817154988,-0.0012134655299335698,-0.0006024232765252365]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04325720494620797,-0.02439284611749145,-0.0078012101592549316,0.001421349615430915],[-0.0004481563642154559,0.0030552163728310468,-0.008407074994643434,-0.01101056668222278,0.13546061778820892,-0.0016003974659535864,-0.054231476536743387,-0.007731581323434031,0.0011260583460211825],[-0.00032961780994087775,-0.00023734283470340425,0.005904394190773092,-0.005416742769733098,0.0012164435730401414,0.007244066495396383,-0.014606834866691433,-0.0046422515817288006,0.0024410060427513705],[0.0003168634640369684,-0.0005395032744294326,-0.0007570156560649333,0.0031765706027479463,-0.003656256448865911,-0.0005396692397938302,0.0027838780195118453,-0.0011509627872797017,0.0007479894211373843],[-0.00013830721481252785,0.0001412930632844313,0.00019882488747499348,-0.000743208313654173,0.0006214884047802943,0.0005713599898638852,0.0006688653656528645,0.00014460548898182616,0.00036432974605511356]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.11668761067933489, -0.04309438397138596, -0.004452824118552459, 0.001856034815935307 ], [ -0.00007364854383577117, -0.0006506095482127702, 0.0015059280122182543, 0.013899941907834668, -0.1146470902000397, 0.01956156402003579, -0.05937809464176369, -0.009667069396225888, 0.00003183655842873385 ], [ 0.00042872091144242853, -0.0005388178554290007, -0.004644802878191872, 0.014078404917661743, -0.04004344565127341, 0.01747859563502703, -0.008315690717255615, -0.0036896422059824897, -0.00021061904758101562 ], [ -0.00028364525663799066, 0.0009206132539972085, -0.0017641181880825854, -0.00009698072979394748, 0.00391943400230369, -0.0031054753357668166, 0.00021010500064273623, -0.002453133849341627, -0.0009357489475474679 ], [ 0.00006419303049025001, -0.00005108223828752408, -0.00010543818213820368, 0.001011784627363495, -0.002252183265012894, 0.0013022405944369184, -0.00006490815817154988, -0.0012134655299335698, -0.0006024232765252365 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04325720494620797, -0.02439284611749145, -0.0078012101592549316, 0.001421349615430915 ], [ -0.0004481563642154559, 0.0030552163728310468, -0.008407074994643434, -0.01101056668222278, 0.13546061778820892, -0.0016003974659535864, -0.054231476536743387, -0.007731581323434031, 0.0011260583460211825 ], [ -0.00032961780994087775, -0.00023734283470340425, 0.005904394190773092, -0.005416742769733098, 0.0012164435730401414, 0.007244066495396383, -0.014606834866691433, -0.0046422515817288006, 0.0024410060427513705 ], [ 0.0003168634640369684, -0.0005395032744294326, -0.0007570156560649333, 0.0031765706027479463, -0.003656256448865911, -0.0005396692397938302, 0.0027838780195118453, -0.0011509627872797017, 0.0007479894211373843 ], [ -0.00013830721481252785, 0.0001412930632844313, 0.00019882488747499348, -0.000743208313654173, 0.0006214884047802943, 0.0005713599898638852, 0.0006688653656528645, 0.00014460548898182616, 0.00036432974605511356 ] ]

D86rewjw8EUb3WuYhjxsM7D

{"aspect_ratio": 8.042215378344768, "major_radius": 1.0, "max_elongation": 4.0, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.308504506403008, 0.01933063608713402, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6625180970068085, 0.6625272065375237, 0.6626547550387704, 0.66316213652644, 0.6644061863438865, 0.666783311984702, 0.6706853809051543, 0.6764663267005657, 0.6844182218795609, 0.6947555537611874, 0.7076064881237876, 0.7230099769562857, 0.7409176486814819, 0.7611995055646479, 0.7836525406309971, 0.8080114735643013, 0.8339608906903424, 0.8611481575751951, 0.8891965535157988, 0.9177181549261711, 0.946326069067686, 0.9746456905317281, 1.0023247201904044, 1.0290417498438102, 1.0545132753861224, 1.0784990568749067, 1.10080579531393, 1.1212891431497418, 1.139854108339239, 1.1564539502727325, 1.1710876997368591, 1.1837964643732848, 1.194658705627139, 1.2037846928717983, 1.2113103551238282, 1.21739076039267, 1.2221934570994821, 1.2258919109865594, 1.2286592643391243, 1.2306626319430336, 1.2320581297561732, 1.2329868074804495, 1.2335716247212714, 1.2339155717555883, 1.2341009895070125, 1.234190088353982, 1.2342266007583858, 1.234238426731391, 1.2342410411545703, 1.2342413230529368, 1.2342413283505471], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8755255637067456}

8.042215

1

4

[ [ 0.6625180970068085, 0.6625272065375237, 0.6626547550387704, 0.66316213652644, 0.6644061863438865, 0.666783311984702, 0.6706853809051543, 0.6764663267005657, 0.6844182218795609, 0.6947555537611874, 0.7076064881237876, 0.7230099769562857, 0.7409176486814819, 0.7611995055646479, 0.7836525406309971, 0.8080114735643013, 0.8339608906903424, 0.8611481575751951, 0.8891965535157988, 0.9177181549261711, 0.946326069067686, 0.9746456905317281, 1.0023247201904044, 1.0290417498438102, 1.0545132753861224, 1.0784990568749067, 1.10080579531393, 1.1212891431497418, 1.139854108339239, 1.1564539502727325, 1.1710876997368591, 1.1837964643732848, 1.194658705627139, 1.2037846928717983, 1.2113103551238282, 1.21739076039267, 1.2221934570994821, 1.2258919109865594, 1.2286592643391243, 1.2306626319430336, 1.2320581297561732, 1.2329868074804495, 1.2335716247212714, 1.2339155717555883, 1.2341009895070125, 1.234190088353982, 1.2342266007583858, 1.234238426731391, 1.2342410411545703, 1.2342413230529368, 1.2342413283505471 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.308504506403008, 0.01933063608713402, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.875526

DRbXVxcDJ8rfdvJJHSHCFwB

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 1.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 1.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": true, "is_stellarator_symmetric": true}}

null

4

0.03

10

3

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

1

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

1

200

lsq-auglag

3

null

D8jSC55kfbYbHWcB97f7Ynh

null

false

null

false

DC5U8VC29rhMGFGrzEyM3tE

DQEHdMkVtpzfJMnaQpkkFmE

{"qi": 0.005971371665423554, "vacuum_well": -0.09468763044115706, "aspect_ratio": 5.890382786471964, "max_elongation": 6.984322225418605, "average_triangularity": -0.0481668226005037, "axis_magnetic_mirror_ratio": 0.5450452708149298, "edge_magnetic_mirror_ratio": 0.8699816346186054, "aspect_ratio_over_edge_rotational_transform": 16.29251531054016, "flux_compression_in_regions_of_bad_curvature": 1.7705033610353385, "axis_rotational_transform_over_n_field_periods": 0.17319573208938094, "edge_rotational_transform_over_n_field_periods": 0.18076959493974765, "minimum_normalized_magnetic_gradient_scale_length": 0.9042028098494592}

5.890383

16.292515

-0.023148

0.545045

0.173196

0.869982

0.18077

1.770503

6.984322

0.904203

0.005971

-0.094688

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.4912111288304493,-0.08474113038501663,-0.05171706692018648,-0.0007415204996093051],[-0.011958451327168731,0.010152276596914603,0.059795145609194425,-0.013017347691938661,0.15308953181856996,-0.04880703723655594,-0.007500494925636564,0.0034347532701649503,0.0003128437378040645],[0.001000929438766221,-0.0003453091820062522,0.000696497627441471,-0.018754435687950762,0.00279222050374852,-0.015159456204315792,-0.002302614809651665,0.0006712531874554435,-0.0003586977908172125],[0.0028056678139973643,-0.001393771020716768,0.0014351242636553478,0.00009974395251387139,-0.00039501092954258993,-0.0033175629543554844,0.0009678809105213041,-0.00005562665585704806,0.00013632376548082135],[-0.0009975725110219205,0.0009965019107010926,-0.0020968559476583805,0.0013389775078789991,-0.0020742040820378727,0.0009355292250807171,-0.0006447446786345074,0.00038324949856333656,-0.00014160609877318062]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.38001388946709164,0.14035482748284828,0.021199318958794566,0.0029198532753854315],[-0.0012881944320721752,0.015273725887060576,0.06563565095166353,0.009413038543973577,-0.16252479835304437,0.0005059199889625755,-0.017403826360014793,0.011664213736563112,-0.0068205124348109875],[0.003094033109451555,-0.0114464868157217,-0.005183003061860555,-0.011803990768517736,-0.00404888714844706,-0.009832918097734442,0.012266628417640457,-0.0022907656358647985,0.0011586204200730796],[-0.0008545720037581039,0.0021504068924421663,-0.004662137174756562,0.0018728423770261841,-0.005040775450764534,0.0016652572486690843,-0.0004406279123352155,0.0005004410073327091,-0.0002658932857815635],[-0.00024187022394440505,0.00030418723314016167,-0.0004568883373214102,0.0013193620125302094,-0.00036731729738836896,0.00009999718147191724,0.00004083958377618872,-0.00009509906950587464,0.000016677251523539196]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.4912111288304493, -0.08474113038501663, -0.05171706692018648, -0.0007415204996093051 ], [ -0.011958451327168731, 0.010152276596914603, 0.059795145609194425, -0.013017347691938661, 0.15308953181856996, -0.04880703723655594, -0.007500494925636564, 0.0034347532701649503, 0.0003128437378040645 ], [ 0.001000929438766221, -0.0003453091820062522, 0.000696497627441471, -0.018754435687950762, 0.00279222050374852, -0.015159456204315792, -0.002302614809651665, 0.0006712531874554435, -0.0003586977908172125 ], [ 0.0028056678139973643, -0.001393771020716768, 0.0014351242636553478, 0.00009974395251387139, -0.00039501092954258993, -0.0033175629543554844, 0.0009678809105213041, -0.00005562665585704806, 0.00013632376548082135 ], [ -0.0009975725110219205, 0.0009965019107010926, -0.0020968559476583805, 0.0013389775078789991, -0.0020742040820378727, 0.0009355292250807171, -0.0006447446786345074, 0.00038324949856333656, -0.00014160609877318062 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.38001388946709164, 0.14035482748284828, 0.021199318958794566, 0.0029198532753854315 ], [ -0.0012881944320721752, 0.015273725887060576, 0.06563565095166353, 0.009413038543973577, -0.16252479835304437, 0.0005059199889625755, -0.017403826360014793, 0.011664213736563112, -0.0068205124348109875 ], [ 0.003094033109451555, -0.0114464868157217, -0.005183003061860555, -0.011803990768517736, -0.00404888714844706, -0.009832918097734442, 0.012266628417640457, -0.0022907656358647985, 0.0011586204200730796 ], [ -0.0008545720037581039, 0.0021504068924421663, -0.004662137174756562, 0.0018728423770261841, -0.005040775450764534, 0.0016652572486690843, -0.0004406279123352155, 0.0005004410073327091, -0.0002658932857815635 ], [ -0.00024187022394440505, 0.00030418723314016167, -0.0004568883373214102, 0.0013193620125302094, -0.00036731729738836896, 0.00009999718147191724, 0.00004083958377618872, -0.00009509906950587464, 0.000016677251523539196 ] ]

Dcg74phQhrTx7uctL5Cgfr2

{"aspect_ratio": 5.7739157415208675, "major_radius": 1.0, "max_elongation": 6.671195012067526, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2812098257438089, -0.132757772066318, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.6073056106613869, 0.6074321303523214, 0.6082046272727956, 0.6100882068931058, 0.6134321917256417, 0.6184954534593706, 0.6254606805333536, 0.6344447811731507, 0.6455073114360202, 0.6586576938980991, 0.6738616061455529, 0.6910467517521485, 0.7101081437731156, 0.7309129854329557, 0.7533052058551369, 0.7771096918417217, 0.8021362456191298, 0.8281832908586277, 0.8550413438766702, 0.8824962629612632, 0.9103322857863732, 0.938334862565919, 0.9662932907627669, 0.9940031556703526, 1.0212685799295755, 1.0479042839622759, 1.0737374583431365, 1.0986094482539497, 1.1223772493349737, 1.144914813439187, 1.166114161980407, 1.185886303719512, 1.2041619529267134, 1.2208920428604624, 1.2360480283773272, 1.249621970184232, 1.261626391702321, 1.2720938976457297, 1.2810765411106044, 1.2886449230502723, 1.2948870042304583, 1.2999066047300427, 1.303821559168925, 1.306761486096264, 1.3088651156018938, 1.3102770969613886, 1.311144171455152, 1.311610529895936, 1.3118120426893114, 1.3118687342082072, 1.3118737978347648], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3652044117473037}

5.773916

1

6.671195

[ [ 0.6073056106613869, 0.6074321303523214, 0.6082046272727956, 0.6100882068931058, 0.6134321917256417, 0.6184954534593706, 0.6254606805333536, 0.6344447811731507, 0.6455073114360202, 0.6586576938980991, 0.6738616061455529, 0.6910467517521485, 0.7101081437731156, 0.7309129854329557, 0.7533052058551369, 0.7771096918417217, 0.8021362456191298, 0.8281832908586277, 0.8550413438766702, 0.8824962629612632, 0.9103322857863732, 0.938334862565919, 0.9662932907627669, 0.9940031556703526, 1.0212685799295755, 1.0479042839622759, 1.0737374583431365, 1.0986094482539497, 1.1223772493349737, 1.144914813439187, 1.166114161980407, 1.185886303719512, 1.2041619529267134, 1.2208920428604624, 1.2360480283773272, 1.249621970184232, 1.261626391702321, 1.2720938976457297, 1.2810765411106044, 1.2886449230502723, 1.2948870042304583, 1.2999066047300427, 1.303821559168925, 1.306761486096264, 1.3088651156018938, 1.3102770969613886, 1.311144171455152, 1.311610529895936, 1.3118120426893114, 1.3118687342082072, 1.3118737978347648 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ -0.2812098257438089, -0.132757772066318, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.365204

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D9yp2aiAs89HbDYxpUW9tWr

null

false

null

false

D3sNSKmwB6A3ZmDyAbmWgxo

DU5JNwHYNtyecxp7CYDuszq

{"qi": 0.014301976332250254, "vacuum_well": -0.1332875093747585, "aspect_ratio": 10.169007585531766, "max_elongation": 4.670085082098555, "average_triangularity": -0.43253340935615203, "axis_magnetic_mirror_ratio": 0.16367198476387576, "edge_magnetic_mirror_ratio": 0.2334541835675812, "aspect_ratio_over_edge_rotational_transform": 15.735327056919514, "flux_compression_in_regions_of_bad_curvature": 0.960234368630096, "axis_rotational_transform_over_n_field_periods": 0.15426205419831707, "edge_rotational_transform_over_n_field_periods": 0.16156333371316878, "minimum_normalized_magnetic_gradient_scale_length": 6.445665429471582}

10.169008

15.735327

-0.704906

0.163672

0.154262

0.233454

0.161563

0.960234

4.670085

6.445665

0.014302

-0.133288

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.010855117927375615,-0.026729430627322397,-0.00342066341407202,0.0025174163838119486],[-0.000016257838840936264,-0.005509669553135338,0.03472443851068191,-0.07201494470204013,0.06860147551135484,0.02987896116864611,-0.00024078481217995606,-0.00022891168079883792,0.0003834478979691112],[-0.0007146867050285368,0.0055288007404405235,-0.01015018665302109,-0.0014157379378140435,-0.004891558519322204,0.004953530876211559,-0.0008967617941315368,-0.0011685098538378835,0.00008679552745099691],[0.0006075961663444838,-0.001267056181600312,0.0005418826415723466,0.0005330895624882175,0.0024930266785315198,0.00322432967314179,0.00013439368190877558,0.0000860321147916342,0.000211336827652397],[-0.00013106674374351913,0.000032600468064059875,0.0005017011585698931,-0.0006223177993537861,0.0004092122395587151,0.00010866911086333022,-0.00020057931287899161,-0.00009872249714302139,-0.000019090199849478033]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.05777798417937172,0.0064816433030827755,0.002447776709638378,-0.0015461962553101262],[-0.001231130951616727,-0.0006550693368727019,0.02534730687089143,-0.00031254414742222514,-0.15089277009499688,-0.030016362140805917,0.003275465498522397,-0.001956349690275326,-0.0005540859312048304],[-0.0012836873261535525,0.007854082879824767,-0.012420329066461039,0.011918911645315167,-0.022157479726383347,-0.011945769566416908,0.003016839529624107,0.0014694465120832817,-0.0001490501234462353],[-0.00017996927113730083,0.0007989273765878268,-0.003242349850619205,0.006975725673266282,-0.0004736906823939848,-0.0035282023825976786,0.00011400619248076163,-0.0001406791625442747,-0.0003343265240516037],[-0.00003148870678638298,-0.00011677839564751184,-0.00010366587886770251,0.0003408577069580973,0.0003209174306499706,-0.0006469104864781593,-0.00021852332945521594,-0.000044261147670896766,-0.0000900557843039728]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.010855117927375615, -0.026729430627322397, -0.00342066341407202, 0.0025174163838119486 ], [ -0.000016257838840936264, -0.005509669553135338, 0.03472443851068191, -0.07201494470204013, 0.06860147551135484, 0.02987896116864611, -0.00024078481217995606, -0.00022891168079883792, 0.0003834478979691112 ], [ -0.0007146867050285368, 0.0055288007404405235, -0.01015018665302109, -0.0014157379378140435, -0.004891558519322204, 0.004953530876211559, -0.0008967617941315368, -0.0011685098538378835, 0.00008679552745099691 ], [ 0.0006075961663444838, -0.001267056181600312, 0.0005418826415723466, 0.0005330895624882175, 0.0024930266785315198, 0.00322432967314179, 0.00013439368190877558, 0.0000860321147916342, 0.000211336827652397 ], [ -0.00013106674374351913, 0.000032600468064059875, 0.0005017011585698931, -0.0006223177993537861, 0.0004092122395587151, 0.00010866911086333022, -0.00020057931287899161, -0.00009872249714302139, -0.000019090199849478033 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.05777798417937172, 0.0064816433030827755, 0.002447776709638378, -0.0015461962553101262 ], [ -0.001231130951616727, -0.0006550693368727019, 0.02534730687089143, -0.00031254414742222514, -0.15089277009499688, -0.030016362140805917, 0.003275465498522397, -0.001956349690275326, -0.0005540859312048304 ], [ -0.0012836873261535525, 0.007854082879824767, -0.012420329066461039, 0.011918911645315167, -0.022157479726383347, -0.011945769566416908, 0.003016839529624107, 0.0014694465120832817, -0.0001490501234462353 ], [ -0.00017996927113730083, 0.0007989273765878268, -0.003242349850619205, 0.006975725673266282, -0.0004736906823939848, -0.0035282023825976786, 0.00011400619248076163, -0.0001406791625442747, -0.0003343265240516037 ], [ -0.00003148870678638298, -0.00011677839564751184, -0.00010366587886770251, 0.0003408577069580973, 0.0003209174306499706, -0.0006469104864781593, -0.00021852332945521594, -0.000044261147670896766, -0.0000900557843039728 ] ]

DgkcxMBd9ZasvxNRDaeh8Ee

{"aspect_ratio": 10.082192883253832, "major_radius": 1.0, "max_elongation": 4.9165505357579855, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.01602769421886766, -0.3329010258205357, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.8347256092642275, 0.8347256495168672, 0.8347268771713606, 0.8347349683672777, 0.8347637323552864, 0.8348376840462275, 0.8349935913461418, 0.835281088202029, 0.8357624554642706, 0.8365116754611529, 0.8376128668253189, 0.8391582050659847, 0.8412454322853896, 0.8439750566189484, 0.8474473386173396, 0.8517591579924122, 0.8570008499827118, 0.8632530960986009, 0.8705839492049223, 0.8790460678029948, 0.8886742289869453, 0.8994831838685888, 0.9114659132808886, 0.9245923352674071, 0.9388085092233879, 0.9540363745463285, 0.9701740542464602, 0.9870967461187724, 1.0046582157369235, 1.022692896632606, 1.041018593494106, 1.0594397739585901, 1.077751423463637, 1.0957434255123704, 1.1132054163984073, 1.1299320486788427, 1.1457285811422757, 1.1604166942468779, 1.173840408387424, 1.185871957029701, 1.1964174364861981, 1.2054220170563559, 1.2128744535798137, 1.2188105725894862, 1.2233153304826436, 1.226522918544164, 1.2286142091397196, 1.2298105343167538, 1.2303622171092132, 1.2305289826672858, 1.23054519611836], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7178904092624285}

10.082193

1

4.916551

[ [ 0.8347256092642275, 0.8347256495168672, 0.8347268771713606, 0.8347349683672777, 0.8347637323552864, 0.8348376840462275, 0.8349935913461418, 0.835281088202029, 0.8357624554642706, 0.8365116754611529, 0.8376128668253189, 0.8391582050659847, 0.8412454322853896, 0.8439750566189484, 0.8474473386173396, 0.8517591579924122, 0.8570008499827118, 0.8632530960986009, 0.8705839492049223, 0.8790460678029948, 0.8886742289869453, 0.8994831838685888, 0.9114659132808886, 0.9245923352674071, 0.9388085092233879, 0.9540363745463285, 0.9701740542464602, 0.9870967461187724, 1.0046582157369235, 1.022692896632606, 1.041018593494106, 1.0594397739585901, 1.077751423463637, 1.0957434255123704, 1.1132054163984073, 1.1299320486788427, 1.1457285811422757, 1.1604166942468779, 1.173840408387424, 1.185871957029701, 1.1964174364861981, 1.2054220170563559, 1.2128744535798137, 1.2188105725894862, 1.2233153304826436, 1.226522918544164, 1.2286142091397196, 1.2298105343167538, 1.2303622171092132, 1.2305289826672858, 1.23054519611836 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.01602769421886766, -0.3329010258205357, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.71789

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DUPj25LwsV4Er3tLEtusZAc

null

false

null

false

DS9sYFBoUJFiNJ5wRR6vnij

DGGjdVAVvA3ssLwRk9FcDNk

{"qi": 0.01119741539022798, "vacuum_well": -0.19853101578113128, "aspect_ratio": 9.021548156185888, "max_elongation": 6.715347186891524, "average_triangularity": 0.07471242447823959, "axis_magnetic_mirror_ratio": 0.337022523318454, "edge_magnetic_mirror_ratio": 0.4355319622777939, "aspect_ratio_over_edge_rotational_transform": 9.268542494767605, "flux_compression_in_regions_of_bad_curvature": 1.7074628356069093, "axis_rotational_transform_over_n_field_periods": 0.2802721467236876, "edge_rotational_transform_over_n_field_periods": 0.3244504430363547, "minimum_normalized_magnetic_gradient_scale_length": 7.366900407802877}

9.021548

9.268542

-0.321463

0.337023

0.280272

0.435532

0.32445

1.707463

6.715347

7.3669

0.011197

-0.198531

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.05011347925104139,-0.011376984674972826,0.001473789765414008,-0.0003135015745727235],[-0.0019330612016164673,0.005438928136036495,0.038401929293195816,-0.0953124405013871,0.1049664261358523,0.0037454008011126444,-0.010203817609234169,-0.0024797086292897823,-0.00027515546530409876],[0.00043224712119952077,0.0013643789481489889,0.000519108509835063,-0.029285823908993393,-0.03411084098706088,-0.013062920246265566,-0.005113951856726894,-0.0010412822881004156,-0.00008252414131236475],[-0.00042492782262851594,-0.0008487914818936767,0.003164282376351977,-0.003475808275363486,-0.0014187333084759906,-8.792121507159023e-6,0.0005113873950671663,0.000428054775325923,0.00009344894652017527],[-0.00004452595505671829,0.0002502862175552727,-0.0006332134788305665,-0.0002570304762491236,0.00003917498904745874,-0.0001189277789703843,-0.000058661149261651866,-0.00005786637119945628,-0.00003500719883525261]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.09338062177251638,0.004206835282752735,0.0008023432516440603,0.000380765853456401],[-0.0008602774165109585,-0.0008982529823381713,0.03402629107906409,-0.026938089770497435,-0.13944551538909544,-0.004920482458892232,0.0021816373758650337,0.0010146149527934705,-0.0001622543663023731],[0.00037177304083303427,0.003684949491686903,-0.01399962664698673,-0.01713442200503175,0.020091473759685983,0.011998481706609169,0.0054920507806897724,0.0010594921679783177,0.00004521914311325699],[-0.0012385045561696898,0.0047709715070366945,-0.004837981930715397,-0.005226570302112028,-0.0038566399166814346,-0.0014312036461422554,-0.0010264562015763245,-0.0005141336989731853,-0.00008649429411495733],[-0.00011336867062147803,-0.00015338851065571215,0.0012247915756479467,-0.0010136956012674159,-0.0007778604851331953,-0.00022150185987980465,-0.00008644500220040174,0.00005647206774299352,0.00002427822030920965]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.05011347925104139, -0.011376984674972826, 0.001473789765414008, -0.0003135015745727235 ], [ -0.0019330612016164673, 0.005438928136036495, 0.038401929293195816, -0.0953124405013871, 0.1049664261358523, 0.0037454008011126444, -0.010203817609234169, -0.0024797086292897823, -0.00027515546530409876 ], [ 0.00043224712119952077, 0.0013643789481489889, 0.000519108509835063, -0.029285823908993393, -0.03411084098706088, -0.013062920246265566, -0.005113951856726894, -0.0010412822881004156, -0.00008252414131236475 ], [ -0.00042492782262851594, -0.0008487914818936767, 0.003164282376351977, -0.003475808275363486, -0.0014187333084759906, -0.000008792121507159023, 0.0005113873950671663, 0.000428054775325923, 0.00009344894652017527 ], [ -0.00004452595505671829, 0.0002502862175552727, -0.0006332134788305665, -0.0002570304762491236, 0.00003917498904745874, -0.0001189277789703843, -0.000058661149261651866, -0.00005786637119945628, -0.00003500719883525261 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.09338062177251638, 0.004206835282752735, 0.0008023432516440603, 0.000380765853456401 ], [ -0.0008602774165109585, -0.0008982529823381713, 0.03402629107906409, -0.026938089770497435, -0.13944551538909544, -0.004920482458892232, 0.0021816373758650337, 0.0010146149527934705, -0.0001622543663023731 ], [ 0.00037177304083303427, 0.003684949491686903, -0.01399962664698673, -0.01713442200503175, 0.020091473759685983, 0.011998481706609169, 0.0054920507806897724, 0.0010594921679783177, 0.00004521914311325699 ], [ -0.0012385045561696898, 0.0047709715070366945, -0.004837981930715397, -0.005226570302112028, -0.0038566399166814346, -0.0014312036461422554, -0.0010264562015763245, -0.0005141336989731853, -0.00008649429411495733 ], [ -0.00011336867062147803, -0.00015338851065571215, 0.0012247915756479467, -0.0010136956012674159, -0.0007778604851331953, -0.00022150185987980465, -0.00008644500220040174, 0.00005647206774299352, 0.00002427822030920965 ] ]

DNjd7hy6xi3koPrnoRtW728

{"aspect_ratio": 8.878269319322726, "major_radius": 1.0, "max_elongation": 6.391555537325576, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.22260159376573055, 0.16098025482141723, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6408000948587982, 0.640802142870573, 0.6408414043316168, 0.6410321979934474, 0.6415723537753218, 0.6427273290141065, 0.6448079120902989, 0.64814629129441, 0.653072972863568, 0.6598959753856007, 0.6688831213366867, 0.6802478574008424, 0.6941387689893302, 0.7106327654060661, 0.7297317755552499, 0.7513626952025346, 0.7753802561943648, 0.8015724394038556, 0.8296680220692396, 0.859345833378951, 0.890245287183516, 0.9219777656686967, 0.9541384411791852, 0.9863181438857105, 1.0181149095914142, 1.0491448737773974, 1.0790522142076413, 1.1075178843508142, 1.1342669228958493, 1.1590741701519467, 1.1817682695776455, 1.2022338815450873, 1.220412086192643, 1.2362990023301748, 1.2499426993047722, 1.2614385279578082, 1.2709230447188276, 1.278566748849729, 1.284565896164279, 1.289133692395116, 1.2924912048186763, 1.2948583606429511, 1.2964454236068899, 1.2974453544286133, 1.2980274637627338, 1.298332754813933, 1.298471321713393, 1.2985221112576142, 1.2985352557477972, 1.2985370156110192, 1.2985370622532635], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8041623850918973}

8.878269

1

6.391556

[ [ 0.6408000948587982, 0.640802142870573, 0.6408414043316168, 0.6410321979934474, 0.6415723537753218, 0.6427273290141065, 0.6448079120902989, 0.64814629129441, 0.653072972863568, 0.6598959753856007, 0.6688831213366867, 0.6802478574008424, 0.6941387689893302, 0.7106327654060661, 0.7297317755552499, 0.7513626952025346, 0.7753802561943648, 0.8015724394038556, 0.8296680220692396, 0.859345833378951, 0.890245287183516, 0.9219777656686967, 0.9541384411791852, 0.9863181438857105, 1.0181149095914142, 1.0491448737773974, 1.0790522142076413, 1.1075178843508142, 1.1342669228958493, 1.1590741701519467, 1.1817682695776455, 1.2022338815450873, 1.220412086192643, 1.2362990023301748, 1.2499426993047722, 1.2614385279578082, 1.2709230447188276, 1.278566748849729, 1.284565896164279, 1.289133692395116, 1.2924912048186763, 1.2948583606429511, 1.2964454236068899, 1.2974453544286133, 1.2980274637627338, 1.298332754813933, 1.298471321713393, 1.2985221112576142, 1.2985352557477972, 1.2985370156110192, 1.2985370622532635 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.22260159376573055, 0.16098025482141723, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.804162

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DJwGahzihBvxqeEX5vFQbZK

null

false

null

false

DR63xkGoWt5Hbv5Dumef74Z

Do2ichRa7Wwk8EAgnFLPTzF

{"qi": 0.02058339763279846, "vacuum_well": -0.155259422509779, "aspect_ratio": 10.248800293687639, "max_elongation": 4.46634293760281, "average_triangularity": -0.5069287329592547, "axis_magnetic_mirror_ratio": 0.10603088348829588, "edge_magnetic_mirror_ratio": 0.1898538585365796, "aspect_ratio_over_edge_rotational_transform": 10.923515024564477, "flux_compression_in_regions_of_bad_curvature": 1.141239135215284, "axis_rotational_transform_over_n_field_periods": 0.2742947512362694, "edge_rotational_transform_over_n_field_periods": 0.23455820472257422, "minimum_normalized_magnetic_gradient_scale_length": 6.94041591669964}

10.2488

10.923515

-0.788673

0.106031

0.274295

0.189854

0.234558

1.141239

4.466343

6.940416

0.020583

-0.155259

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.011871108621408187,-0.005312656670355817,0.001627298203768701,0.0006450265866670041],[-0.00047128819707000256,-0.0027773062980227465,0.028385619866718073,-0.04807166216383098,0.09599383622250691,0.00905106541399996,0.001147911445215628,0.0016472337418031735,0.0003321618698152018],[0.0007513003235129044,-0.0002663135837455521,-0.027199566755647386,0.0015917413693847882,-0.006748507364515569,-0.0001629308180215145,-0.003860315832126959,-0.000454176703631137,-0.000012836298805741554],[-0.0013687945809848167,0.0017144539615274739,0.009884267015598051,0.001109033546280203,0.002354534727578591,-0.0016280363996548906,-0.0006707644558575105,-0.0001312019511102554,0.00004923823039084004],[0.00011703243990412906,0.0003265236583260092,-0.0010976554711361545,-0.0009032264827207523,-0.000875698127472349,-0.0003616664435235062,-0.00038999057369654713,0.00008249396901709997,0.000022777802173326647]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04507001180123349,0.006548576282047424,-0.00035192956080126395,-0.00047074967154757055],[-0.00004169187190042464,-0.0035890208445583213,0.03326014336364303,-0.024038627905620134,-0.14109459727714324,0.006162997994561841,0.002443463335877553,-0.0004767923619215203,0.00002528096682035502],[0.0012165080687129965,0.001995066772006852,-0.02611102654464795,0.001148366042890707,-0.010884755036864676,0.0023970582878302996,0.00415279149668589,0.00003187433999524386,-0.00005556510183836168],[-0.0012406660237418978,0.00336323157054066,0.0021815529038204983,0.0056079530484038935,-0.0012758165851586784,0.001626767315276124,0.0005359631679793679,-0.00007336568672746194,-0.0000736471447143137],[0.00045426612057842977,-0.001128364248766413,-0.0005067136085542006,0.00022007799960488118,-0.00023522127997550144,0.00041632608049766107,0.00028595462529965883,-0.00002434459460859417,0.000015814223201057336]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.011871108621408187, -0.005312656670355817, 0.001627298203768701, 0.0006450265866670041 ], [ -0.00047128819707000256, -0.0027773062980227465, 0.028385619866718073, -0.04807166216383098, 0.09599383622250691, 0.00905106541399996, 0.001147911445215628, 0.0016472337418031735, 0.0003321618698152018 ], [ 0.0007513003235129044, -0.0002663135837455521, -0.027199566755647386, 0.0015917413693847882, -0.006748507364515569, -0.0001629308180215145, -0.003860315832126959, -0.000454176703631137, -0.000012836298805741554 ], [ -0.0013687945809848167, 0.0017144539615274739, 0.009884267015598051, 0.001109033546280203, 0.002354534727578591, -0.0016280363996548906, -0.0006707644558575105, -0.0001312019511102554, 0.00004923823039084004 ], [ 0.00011703243990412906, 0.0003265236583260092, -0.0010976554711361545, -0.0009032264827207523, -0.000875698127472349, -0.0003616664435235062, -0.00038999057369654713, 0.00008249396901709997, 0.000022777802173326647 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04507001180123349, 0.006548576282047424, -0.00035192956080126395, -0.00047074967154757055 ], [ -0.00004169187190042464, -0.0035890208445583213, 0.03326014336364303, -0.024038627905620134, -0.14109459727714324, 0.006162997994561841, 0.002443463335877553, -0.0004767923619215203, 0.00002528096682035502 ], [ 0.0012165080687129965, 0.001995066772006852, -0.02611102654464795, 0.001148366042890707, -0.010884755036864676, 0.0023970582878302996, 0.00415279149668589, 0.00003187433999524386, -0.00005556510183836168 ], [ -0.0012406660237418978, 0.00336323157054066, 0.0021815529038204983, 0.0056079530484038935, -0.0012758165851586784, 0.001626767315276124, 0.0005359631679793679, -0.00007336568672746194, -0.0000736471447143137 ], [ 0.00045426612057842977, -0.001128364248766413, -0.0005067136085542006, 0.00022007799960488118, -0.00023522127997550144, 0.00041632608049766107, 0.00028595462529965883, -0.00002434459460859417, 0.000015814223201057336 ] ]

DWqLPDcembFM2zxHUEXphMv

{"aspect_ratio": 11.118113827938682, "major_radius": 1.0, "max_elongation": 4.24434511831337, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.13666242741991716, -0.27683664979415684, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.8772857978598532, 0.8772858168015898, 0.8772866254679442, 0.8772930950700103, 0.8773191853013524, 0.8773923678381165, 0.8775565391342681, 0.8778731101002676, 0.8784202697819796, 0.8792905999229842, 0.8805873232212119, 0.8824195257937898, 0.8848967183062824, 0.8881230996732411, 0.8921918686676633, 0.8971798969909722, 0.9031430360810979, 0.91011228216678, 0.9180909722736784, 0.9270531301161671, 0.9369430268209833, 0.947675968728228, 0.9591402743972222, 0.9712003565286569, 0.9837007827657309, 0.9964711530838363, 1.0093316014241014, 1.022098705957859, 1.03459157636371, 1.0466378781265637, 1.0580795533939773, 1.0687780055088136, 1.0786185300300508, 1.0875137987938923, 1.095406235173332, 1.1022691578534491, 1.108106616694384, 1.1129518969820686, 1.1168647267551712, 1.1199272849046429, 1.1222391740506388, 1.1239115901403487, 1.1250609881517712, 1.1258026074855396, 1.126244277955481, 1.1264809728172709, 1.126590601994208, 1.1266315359829866, 1.126642301411514, 1.1266437601663346, 1.1266437989879814], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.0766342352781924}

11.118114

1

4.244345

[ [ 0.8772857978598532, 0.8772858168015898, 0.8772866254679442, 0.8772930950700103, 0.8773191853013524, 0.8773923678381165, 0.8775565391342681, 0.8778731101002676, 0.8784202697819796, 0.8792905999229842, 0.8805873232212119, 0.8824195257937898, 0.8848967183062824, 0.8881230996732411, 0.8921918686676633, 0.8971798969909722, 0.9031430360810979, 0.91011228216678, 0.9180909722736784, 0.9270531301161671, 0.9369430268209833, 0.947675968728228, 0.9591402743972222, 0.9712003565286569, 0.9837007827657309, 0.9964711530838363, 1.0093316014241014, 1.022098705957859, 1.03459157636371, 1.0466378781265637, 1.0580795533939773, 1.0687780055088136, 1.0786185300300508, 1.0875137987938923, 1.095406235173332, 1.1022691578534491, 1.108106616694384, 1.1129518969820686, 1.1168647267551712, 1.1199272849046429, 1.1222391740506388, 1.1239115901403487, 1.1250609881517712, 1.1258026074855396, 1.126244277955481, 1.1264809728172709, 1.126590601994208, 1.1266315359829866, 1.126642301411514, 1.1266437601663346, 1.1266437989879814 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.13666242741991716, -0.27683664979415684, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.076634

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

Dhe6tu8X49owChocFhAedTc

null

false

null

false

D87VaHyE7oQTDJkzhTNJTqc

DYotzaga3fHhxeq4yGHeEpz

{"qi": 0.0018914699719584692, "vacuum_well": -0.022651158398799172, "aspect_ratio": 9.007965641682251, "max_elongation": 6.87570033176006, "average_triangularity": -0.41107432791068643, "axis_magnetic_mirror_ratio": 0.3692962974454271, "edge_magnetic_mirror_ratio": 0.38689828212038696, "aspect_ratio_over_edge_rotational_transform": 17.741941796126255, "flux_compression_in_regions_of_bad_curvature": 1.1870191873421598, "axis_rotational_transform_over_n_field_periods": 0.21028449119293519, "edge_rotational_transform_over_n_field_periods": 0.12693037979147573, "minimum_normalized_magnetic_gradient_scale_length": 6.3743425003468035}

9.007966

17.741942

-0.165365

0.369296

0.210284

0.386898

0.12693

1.187019

6.8757

6.374343

0.001891

-0.022651

{"r_cos":[[0.0,0.0,0.0,0.0,0.9901738658659323,-0.004419771180662514,-0.007368798090555991,-0.00054872099081784,-0.000631828703282761],[0.00012363635784721024,-0.002255783060211948,0.014007687147261326,-0.010413427536037847,-0.17387443725810323,-0.025449659908572016,-0.0025375102181224444,-0.0002767914796381473,0.0009977392930793187],[-0.00016593009922551429,-0.0016446182996689234,0.009205471201769445,-0.0037818718974315995,-0.029669701990945815,0.0035014684655409484,0.00036817232867433856,0.00023323157534412432,0.0000992883013685211],[0.00010668960150393792,0.00018198118036874292,-0.002422657861915014,0.0032475997943795286,-0.0025452033286171463,-0.000733982058303353,-0.0008158851133230096,-0.00014080445133590494,-0.000050615687361183795],[0.00028813219676013355,-0.000912092520651814,0.0009002512154140726,-0.00022509848001259474,-0.00018619015651675282,0.00003895457201685564,5.2533022412370686e-6,0.00005616665377473299,0.000017483118674488444]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.12862597231450423,0.015950435692176166,0.0031136726314637225,0.0006381034778347977],[-0.00042152128644054745,-0.00041086291093276857,0.01360608783650923,-0.11561240715981316,0.07202744821188617,0.0654133547957618,0.005632676478407338,0.0031289473804251926,0.00023103925410286884],[0.0003987335994894354,-0.0030884228561559608,0.0012935473642615987,0.016474286268347745,-0.012399707443858208,-0.006390064971213317,-0.0015928137146341628,0.0010501821242852353,-0.00008562302054633653],[0.00006692870884259648,-0.0007365391719998181,0.0020207125130710826,-0.0023659424022664977,0.004035088744633836,0.00014724968511791413,0.00005706440918710424,-0.00009715957160836658,-0.0001453926589801371],[0.0000614716756708602,-0.0000371553823675193,0.00003057243713177932,-0.00023381441585137628,0.0007910665815336155,-0.0007503407330323017,0.00026989116590530606,-0.00005457436332287357,2.358551583439771e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9901738658659323, -0.004419771180662514, -0.007368798090555991, -0.00054872099081784, -0.000631828703282761 ], [ 0.00012363635784721024, -0.002255783060211948, 0.014007687147261326, -0.010413427536037847, -0.17387443725810323, -0.025449659908572016, -0.0025375102181224444, -0.0002767914796381473, 0.0009977392930793187 ], [ -0.00016593009922551429, -0.0016446182996689234, 0.009205471201769445, -0.0037818718974315995, -0.029669701990945815, 0.0035014684655409484, 0.00036817232867433856, 0.00023323157534412432, 0.0000992883013685211 ], [ 0.00010668960150393792, 0.00018198118036874292, -0.002422657861915014, 0.0032475997943795286, -0.0025452033286171463, -0.000733982058303353, -0.0008158851133230096, -0.00014080445133590494, -0.000050615687361183795 ], [ 0.00028813219676013355, -0.000912092520651814, 0.0009002512154140726, -0.00022509848001259474, -0.00018619015651675282, 0.00003895457201685564, 0.0000052533022412370686, 0.00005616665377473299, 0.000017483118674488444 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.12862597231450423, 0.015950435692176166, 0.0031136726314637225, 0.0006381034778347977 ], [ -0.00042152128644054745, -0.00041086291093276857, 0.01360608783650923, -0.11561240715981316, 0.07202744821188617, 0.0654133547957618, 0.005632676478407338, 0.0031289473804251926, 0.00023103925410286884 ], [ 0.0003987335994894354, -0.0030884228561559608, 0.0012935473642615987, 0.016474286268347745, -0.012399707443858208, -0.006390064971213317, -0.0015928137146341628, 0.0010501821242852353, -0.00008562302054633653 ], [ 0.00006692870884259648, -0.0007365391719998181, 0.0020207125130710826, -0.0023659424022664977, 0.004035088744633836, 0.00014724968511791413, 0.00005706440918710424, -0.00009715957160836658, -0.0001453926589801371 ], [ 0.0000614716756708602, -0.0000371553823675193, 0.00003057243713177932, -0.00023381441585137628, 0.0007910665815336155, -0.0007503407330323017, 0.00026989116590530606, -0.00005457436332287357, 0.000002358551583439771 ] ]

DMFpcSaLdppZTBEpcyDbDAu

{"aspect_ratio": 10.425104704255888, "major_radius": 1.0, "max_elongation": 6.4258651628331656, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.052086550747248994, 0.2565370103238126, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.7069620692007617, 0.7069621035323965, 0.7069632904644829, 0.7069717602851677, 0.7070036591075218, 0.7070894722802991, 0.707277298549413, 0.7076349780641611, 0.708251066858077, 0.7092346989070913, 0.7107144071853057, 0.7128359955604787, 0.7157595676782786, 0.7196558291659068, 0.7247017866914441, 0.7310759723554032, 0.7389533250260207, 0.7484998618687503, 0.7598672736748123, 0.773187576809447, 0.7885679527769497, 0.8060859036012447, 0.825784847484893, 0.8476702745505107, 0.8717065768807786, 0.8978146605314782, 0.9258704396516289, 0.955704304240209, 0.9871016433105861, 1.0198044942041629, 1.0535143763419978, 1.087896353632399, 1.1225843538134712, 1.1571877548792504, 1.191299227995679, 1.2245038024037793, 1.2563890899903576, 1.2865565744721805, 1.314633831085831, 1.3402874953088744, 1.3632367405451675, 1.3832669504938697, 1.4002431752099183, 1.414122829404748, 1.4249669079369818, 1.4329487210328464, 1.4383587193565521, 1.4416032284376092, 1.443193435303914, 1.4437174456482742, 1.4437758962086353], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6825400371596684}

10.425105

1

6.425865

[ [ 0.7069620692007617, 0.7069621035323965, 0.7069632904644829, 0.7069717602851677, 0.7070036591075218, 0.7070894722802991, 0.707277298549413, 0.7076349780641611, 0.708251066858077, 0.7092346989070913, 0.7107144071853057, 0.7128359955604787, 0.7157595676782786, 0.7196558291659068, 0.7247017866914441, 0.7310759723554032, 0.7389533250260207, 0.7484998618687503, 0.7598672736748123, 0.773187576809447, 0.7885679527769497, 0.8060859036012447, 0.825784847484893, 0.8476702745505107, 0.8717065768807786, 0.8978146605314782, 0.9258704396516289, 0.955704304240209, 0.9871016433105861, 1.0198044942041629, 1.0535143763419978, 1.087896353632399, 1.1225843538134712, 1.1571877548792504, 1.191299227995679, 1.2245038024037793, 1.2563890899903576, 1.2865565744721805, 1.314633831085831, 1.3402874953088744, 1.3632367405451675, 1.3832669504938697, 1.4002431752099183, 1.414122829404748, 1.4249669079369818, 1.4329487210328464, 1.4383587193565521, 1.4416032284376092, 1.443193435303914, 1.4437174456482742, 1.4437758962086353 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.052086550747248994, 0.2565370103238126, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.68254

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DNWWXjdE7DHNMiLyaUEAZ7G

null

false

null

false

DM23ERSaYenBQyUfGKZgaR7

D5NWcAhPTUnrekcqytXctyW

{"qi": 0.0033595361021511137, "vacuum_well": 0.020781321297362473, "aspect_ratio": 8.958014139982936, "max_elongation": 6.627897312220313, "average_triangularity": 0.15021249943610038, "axis_magnetic_mirror_ratio": 0.3298648631667466, "edge_magnetic_mirror_ratio": 0.4150971479148221, "aspect_ratio_over_edge_rotational_transform": 32.71385082119981, "flux_compression_in_regions_of_bad_curvature": 0.8461705627896441, "axis_rotational_transform_over_n_field_periods": 0.1669074644695368, "edge_rotational_transform_over_n_field_periods": 0.13691469996827466, "minimum_normalized_magnetic_gradient_scale_length": 4.662695088147096}

8.958014

32.713851

0.261166

0.329865

0.166907

0.415097

0.136915

0.846171

6.627897

4.662695

0.00336

0.020781

{"r_cos":[[0.0,0.0,0.0,0.0,0.9941652436608862,-0.06255085521982748,-0.03377937589548321,-0.001438631583867124,0.0020693298728061945],[0.00003619862947362565,-0.008782623268334126,0.007184850105917007,-0.04111338420392256,0.1271750431601757,-0.014125477668061543,0.014180485533374889,-0.0037013262061559777,0.000031843087607972776],[0.0014129516874291765,-0.004822241940046212,-0.0035105208016201882,0.02603249153062868,-0.020381729611954853,-0.019481089318697364,0.0025714395595490885,-0.0003394430187053758,-0.000032895809927431996],[-0.0009628867403870635,0.002119499138905928,0.00317600661644774,-0.010466226474440905,0.003292234751128504,0.005369825956485511,0.0012209560488995789,-0.00024019995672079197,0.00012016813573806134],[-0.00018624665725907913,0.00028599177995609784,-0.0011451525358165686,0.001363708360038604,0.0007480947055105323,-0.001013408824719674,-0.0002883911914439139,-0.00007589797105732095,0.00002234183712987251]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.20983074555217235,0.012740808454012958,0.00673162994563243,-0.0001712442992437054],[-0.00032726611371883653,0.0009464774166995506,0.03580796944134565,-0.10114036362658356,-0.11290418101350122,0.08724748801200154,-0.002370177697210457,0.0014771639708341506,-0.0002932018607688515],[0.0022523874211180465,0.0006959415303436421,-0.005017085199573332,-0.0068204169558545,0.02047579599598444,-0.006855333377206048,-0.0030702265506598473,0.00045320227091512864,0.00016353044716683487],[-0.0007577015336706601,0.003319844878273392,-0.0019823983054762743,0.000582395211264998,-0.0014324187028830313,-0.001054463905520992,-0.0010129914656655213,-0.00017613486145492247,-0.0002061910748977893],[0.0002481151095910163,-0.00045182033893204337,0.00009238060766094717,0.0011735728950864883,-0.001793290845733063,0.00003279951983141177,0.0003860608414146937,0.00019575157223631465,0.0000535436401885199]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9941652436608862, -0.06255085521982748, -0.03377937589548321, -0.001438631583867124, 0.0020693298728061945 ], [ 0.00003619862947362565, -0.008782623268334126, 0.007184850105917007, -0.04111338420392256, 0.1271750431601757, -0.014125477668061543, 0.014180485533374889, -0.0037013262061559777, 0.000031843087607972776 ], [ 0.0014129516874291765, -0.004822241940046212, -0.0035105208016201882, 0.02603249153062868, -0.020381729611954853, -0.019481089318697364, 0.0025714395595490885, -0.0003394430187053758, -0.000032895809927431996 ], [ -0.0009628867403870635, 0.002119499138905928, 0.00317600661644774, -0.010466226474440905, 0.003292234751128504, 0.005369825956485511, 0.0012209560488995789, -0.00024019995672079197, 0.00012016813573806134 ], [ -0.00018624665725907913, 0.00028599177995609784, -0.0011451525358165686, 0.001363708360038604, 0.0007480947055105323, -0.001013408824719674, -0.0002883911914439139, -0.00007589797105732095, 0.00002234183712987251 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.20983074555217235, 0.012740808454012958, 0.00673162994563243, -0.0001712442992437054 ], [ -0.00032726611371883653, 0.0009464774166995506, 0.03580796944134565, -0.10114036362658356, -0.11290418101350122, 0.08724748801200154, -0.002370177697210457, 0.0014771639708341506, -0.0002932018607688515 ], [ 0.0022523874211180465, 0.0006959415303436421, -0.005017085199573332, -0.0068204169558545, 0.02047579599598444, -0.006855333377206048, -0.0030702265506598473, 0.00045320227091512864, 0.00016353044716683487 ], [ -0.0007577015336706601, 0.003319844878273392, -0.0019823983054762743, 0.000582395211264998, -0.0014324187028830313, -0.001054463905520992, -0.0010129914656655213, -0.00017613486145492247, -0.0002061910748977893 ], [ 0.0002481151095910163, -0.00045182033893204337, 0.00009238060766094717, 0.0011735728950864883, -0.001793290845733063, 0.00003279951983141177, 0.0003860608414146937, 0.00019575157223631465, 0.0000535436401885199 ] ]

DoC7nWYfTWd7DQ99CgVqE8b

{"aspect_ratio": 9.894749490736096, "major_radius": 1.0, "max_elongation": 6.328006383252838, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09327289287145361, 0.0789640875017807, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.7132999636613311, 0.7133000407014668, 0.7133022488048519, 0.7133162831593446, 0.7133649969785771, 0.7134881522869881, 0.71374462251866, 0.7142132534537281, 0.7149925579821315, 0.7161994033933041, 0.7179668387227699, 0.7204412012955168, 0.7237786347636725, 0.7281411450234568, 0.7336923150656256, 0.7405927948516241, 0.7489956775743057, 0.7590418690590203, 0.7708555525145885, 0.7845398462956846, 0.8001727477388585, 0.8178034514392194, 0.8374491255010355, 0.8590922242803187, 0.8826784108957779, 0.908115157267074, 0.9352710835906602, 0.9639760929195428, 0.9940223497984626, 1.0251661446294391, 1.0571306774933367, 1.0896097863934326, 1.1222726351435006, 1.1547693651738997, 1.1867377030865414, 1.217810501472743, 1.2476241738047127, 1.2758279644186157, 1.302093970737882, 1.326127805519007, 1.3476797499350326, 1.3665562005259382, 1.3826311493263304, 1.3958573483306562, 1.406276681971804, 1.4140290765556922, 1.4193589567856062, 1.4226176875865155, 1.4242592732415733, 1.424823684823187, 1.4248914215069617], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.33114333709028126}

9.894749

1

6.328006

[ [ 0.7132999636613311, 0.7133000407014668, 0.7133022488048519, 0.7133162831593446, 0.7133649969785771, 0.7134881522869881, 0.71374462251866, 0.7142132534537281, 0.7149925579821315, 0.7161994033933041, 0.7179668387227699, 0.7204412012955168, 0.7237786347636725, 0.7281411450234568, 0.7336923150656256, 0.7405927948516241, 0.7489956775743057, 0.7590418690590203, 0.7708555525145885, 0.7845398462956846, 0.8001727477388585, 0.8178034514392194, 0.8374491255010355, 0.8590922242803187, 0.8826784108957779, 0.908115157267074, 0.9352710835906602, 0.9639760929195428, 0.9940223497984626, 1.0251661446294391, 1.0571306774933367, 1.0896097863934326, 1.1222726351435006, 1.1547693651738997, 1.1867377030865414, 1.217810501472743, 1.2476241738047127, 1.2758279644186157, 1.302093970737882, 1.326127805519007, 1.3476797499350326, 1.3665562005259382, 1.3826311493263304, 1.3958573483306562, 1.406276681971804, 1.4140290765556922, 1.4193589567856062, 1.4226176875865155, 1.4242592732415733, 1.424823684823187, 1.4248914215069617 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.09327289287145361, 0.0789640875017807, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.331143

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DA9rZVDUixaEgGsHEhVc4vf

null

false

null

false

D9ZbbHEw2HQbkFgeWUWs8ab

D3o9Xfe6dtjcewfaqBANqzF

{"qi": 0.006110610867929458, "vacuum_well": -0.10897419474567664, "aspect_ratio": 9.91750311748668, "max_elongation": 5.513441632734895, "average_triangularity": -0.41962799760123204, "axis_magnetic_mirror_ratio": 0.18250202460117623, "edge_magnetic_mirror_ratio": 0.2617799221517738, "aspect_ratio_over_edge_rotational_transform": 24.94181068185414, "flux_compression_in_regions_of_bad_curvature": 1.3330794401503574, "axis_rotational_transform_over_n_field_periods": 0.1947873314636268, "edge_rotational_transform_over_n_field_periods": 0.19881281363229053, "minimum_normalized_magnetic_gradient_scale_length": 4.152225700864371}

9.917503

24.941811

-0.576202

0.182502

0.194787

0.26178

0.198813

1.333079

5.513442

4.152226

0.006111

-0.108974

{"r_cos":[[0.0,0.0,0.0,0.0,0.9939059117936896,-0.13360154420192455,-0.03800191419106722,0.013818771645373455,-0.002385244305525777],[-0.0024357365622208133,-0.0203004177332966,-0.00022758898042733386,-0.010583766930135049,0.10210516184930213,-0.015170489327726395,0.02289691433493752,-0.007254474259159024,-0.0009725765855790609],[0.0032221925826681937,-0.0010517317549606,-0.016469843922028125,0.00031160306223152086,-0.005946475734704811,0.006858702959716529,0.0029586531163085707,-0.0011117393837717733,0.00047857595172981363],[0.0003045902950377038,0.005102362282207146,0.0026427589711226535,-0.005423125599160572,0.007009724430578054,0.0011883873755653652,0.000028879477557990432,-0.00045701526402017797,0.000036767252450557063],[-0.0004099576696950814,0.00007246926513815804,0.00043311659991363645,-0.0006311230722072644,-0.0016238381751399569,0.0010468625890384482,0.00044829982463748393,-0.0005266408135560737,0.00020850153005541437]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.142244568398027,0.027593342786339483,-0.005906804967120869,0.00036094706667761175],[-0.0009364877871427752,-0.00528619386224295,0.02208360107998347,-0.1061354758994548,-0.10269770293579952,0.0823859142131256,-0.017652979017591237,0.00198941203140146,0.0008546952275152956],[0.004276887346781553,-0.0007805999184820328,-0.015539275306318014,-0.0005101744076454655,-0.011759100412262082,-0.009904689415663082,0.001678670861514217,0.0017645381737823275,-0.0006915060536588388],[-0.00037367164730772436,0.003058716307137237,-0.0026702271246425244,0.0015646223464406298,0.0013321925150304786,0.0023838338925481948,-0.002523908114153735,0.00041509308894407656,7.753252929560182e-6],[-0.00019936174091801675,0.00012170517771117095,0.0004241357582532866,8.9603065252664e-6,-0.0001122654383543004,-0.0003746378307186866,-0.0006174487907375177,0.0005139788090605407,-0.00017806783916089473]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9939059117936896, -0.13360154420192455, -0.03800191419106722, 0.013818771645373455, -0.002385244305525777 ], [ -0.0024357365622208133, -0.0203004177332966, -0.00022758898042733386, -0.010583766930135049, 0.10210516184930213, -0.015170489327726395, 0.02289691433493752, -0.007254474259159024, -0.0009725765855790609 ], [ 0.0032221925826681937, -0.0010517317549606, -0.016469843922028125, 0.00031160306223152086, -0.005946475734704811, 0.006858702959716529, 0.0029586531163085707, -0.0011117393837717733, 0.00047857595172981363 ], [ 0.0003045902950377038, 0.005102362282207146, 0.0026427589711226535, -0.005423125599160572, 0.007009724430578054, 0.0011883873755653652, 0.000028879477557990432, -0.00045701526402017797, 0.000036767252450557063 ], [ -0.0004099576696950814, 0.00007246926513815804, 0.00043311659991363645, -0.0006311230722072644, -0.0016238381751399569, 0.0010468625890384482, 0.00044829982463748393, -0.0005266408135560737, 0.00020850153005541437 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.142244568398027, 0.027593342786339483, -0.005906804967120869, 0.00036094706667761175 ], [ -0.0009364877871427752, -0.00528619386224295, 0.02208360107998347, -0.1061354758994548, -0.10269770293579952, 0.0823859142131256, -0.017652979017591237, 0.00198941203140146, 0.0008546952275152956 ], [ 0.004276887346781553, -0.0007805999184820328, -0.015539275306318014, -0.0005101744076454655, -0.011759100412262082, -0.009904689415663082, 0.001678670861514217, 0.0017645381737823275, -0.0006915060536588388 ], [ -0.00037367164730772436, 0.003058716307137237, -0.0026702271246425244, 0.0015646223464406298, 0.0013321925150304786, 0.0023838338925481948, -0.002523908114153735, 0.00041509308894407656, 0.000007753252929560182 ], [ -0.00019936174091801675, 0.00012170517771117095, 0.0004241357582532866, 0.0000089603065252664, -0.0001122654383543004, -0.0003746378307186866, -0.0006174487907375177, 0.0005139788090605407, -0.00017806783916089473 ] ]

DUHERC8rXTDUq9vU7Sq6Q55

{"aspect_ratio": 11.570526196919669, "major_radius": 1.0, "max_elongation": 5.112657392494001, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.008325832125335863, -0.6181906014549121, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.8448410363645841, 0.8448410380293079, 0.8448411250535978, 0.8448419303555216, 0.844845592490679, 0.8448570107992109, 0.8448852341415636, 0.8449448599689526, 0.8450573455395645, 0.8452521516147804, 0.8455676540913507, 0.8460517720759838, 0.8467622725726519, 0.8477667226262698, 0.8491420696983718, 0.8509738404075312, 0.8533549566663888, 0.8563841767735779, 0.8601641772369294, 0.864799299064128, 0.8703929899983801, 0.8770449817322988, 0.8848482485304768, 0.8938858009536502, 0.9042273755256962, 0.9159260882378419, 0.9290151267600156, 0.9435045631443797, 0.9593783756778996, 0.97659177538724, 0.9950689395397521, 1.0147012613406565, 1.035346231924244, 1.0568270777068016, 1.0789332832495366, 1.1014221370204023, 1.1240214449101844, 1.1464335641397607, 1.1683409184179703, 1.1894131640549572, 1.2093161864768218, 1.2277231176473171, 1.2443275779668324, 1.2588593624535713, 1.2711028125157273, 1.2809181454529512, 1.2882660625475548, 1.293236043555305, 1.2960789174041716, 1.2972447807272336, 1.2974293794294254], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.29760709425675236}

11.570526

1

5.112657

[ [ 0.8448410363645841, 0.8448410380293079, 0.8448411250535978, 0.8448419303555216, 0.844845592490679, 0.8448570107992109, 0.8448852341415636, 0.8449448599689526, 0.8450573455395645, 0.8452521516147804, 0.8455676540913507, 0.8460517720759838, 0.8467622725726519, 0.8477667226262698, 0.8491420696983718, 0.8509738404075312, 0.8533549566663888, 0.8563841767735779, 0.8601641772369294, 0.864799299064128, 0.8703929899983801, 0.8770449817322988, 0.8848482485304768, 0.8938858009536502, 0.9042273755256962, 0.9159260882378419, 0.9290151267600156, 0.9435045631443797, 0.9593783756778996, 0.97659177538724, 0.9950689395397521, 1.0147012613406565, 1.035346231924244, 1.0568270777068016, 1.0789332832495366, 1.1014221370204023, 1.1240214449101844, 1.1464335641397607, 1.1683409184179703, 1.1894131640549572, 1.2093161864768218, 1.2277231176473171, 1.2443275779668324, 1.2588593624535713, 1.2711028125157273, 1.2809181454529512, 1.2882660625475548, 1.293236043555305, 1.2960789174041716, 1.2972447807272336, 1.2974293794294254 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ -0.008325832125335863, -0.6181906014549121, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.297607

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DGTXX435X9SV5UMbMj3hFDo

null

false

null

false

DEQNNwojcqrvR7LF6W6XCdq

DM8pRLVjZUHYjVBxCejDS2M

{"qi": 0.05831504758555491, "vacuum_well": -0.0768491642400462, "aspect_ratio": 8.034935909997335, "max_elongation": 4.1655460980492975, "average_triangularity": -0.05398967493735196, "axis_magnetic_mirror_ratio": 0.48565178222260097, "edge_magnetic_mirror_ratio": 0.8466179937044277, "aspect_ratio_over_edge_rotational_transform": 6.501987918530838, "flux_compression_in_regions_of_bad_curvature": 0.9771458904392265, "axis_rotational_transform_over_n_field_periods": 0.32644516175088634, "edge_rotational_transform_over_n_field_periods": 0.3089415118373857, "minimum_normalized_magnetic_gradient_scale_length": 2.863564524136726}

8.034936

6.501988

-0.002157

0.485652

0.326445

0.846618

0.308942

0.977146

4.165546

2.863565

0.058315

-0.076849

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.25222763790844227,-0.027754891624244025,-0.0156888505766689,0.0004709538575130368],[0.0024847572580527794,0.027150091923908628,0.03548198916240412,-0.03256120684262078,0.12693251200830513,-0.010797647934424594,-0.0008192689794504493,-0.0008594933750775309,0.00023698846366481687],[-0.004353666060318284,-0.013820607982937978,-0.007482652427930928,-0.003944404797745047,0.010384506286859612,-0.007431868634501047,-0.0021087273038968134,0.001044435570178491,-0.0003137168887798591],[0.001019229892246227,-0.0009323192517123125,0.003570514432440392,0.0021005022572177312,0.006684419739084186,-0.00412321982993344,0.0022095112336236082,-0.00031929414037473654,0.00009957569583260082],[0.000035805231636230894,-3.6930868285212136e-6,-0.0003291480240336103,0.00033010748808656173,0.0000460717060686679,-0.0009492845783864007,0.0002563976147563012,-0.000049741297146986904,0.000038262169464000836]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.006277065563821768,0.02068649474455732,0.0074651958854802525,0.001723639310940713],[0.003913890565504557,0.026969433115666526,0.03414957065380608,-0.003269968701444308,-0.12912166009047651,-0.0016819523999775522,-0.003227570066747081,0.004011583448070179,-0.0016001883168858515],[-0.00432069588994522,-0.019417058195832622,0.0014031945461928158,-0.00042231244354109994,-0.008003832971160696,-0.0003643213142469133,0.006406568933186596,-0.0017675801930130148,0.00042979045361402654],[0.0002601783991523208,0.001717573616797201,-0.004968713562232065,-0.00013206668354202942,-0.005629864647960482,0.0013136623603024551,-0.00044903860513637647,-0.0003790823828180434,-0.00005368025915919722],[0.00025031451915248843,0.000635578058751027,-0.00048535320223367447,0.00012868496607550307,-0.000028823201325218952,0.0006752463238092702,0.00010530695314864215,-0.00015359306263602198,0.0000642980647580189]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.25222763790844227, -0.027754891624244025, -0.0156888505766689, 0.0004709538575130368 ], [ 0.0024847572580527794, 0.027150091923908628, 0.03548198916240412, -0.03256120684262078, 0.12693251200830513, -0.010797647934424594, -0.0008192689794504493, -0.0008594933750775309, 0.00023698846366481687 ], [ -0.004353666060318284, -0.013820607982937978, -0.007482652427930928, -0.003944404797745047, 0.010384506286859612, -0.007431868634501047, -0.0021087273038968134, 0.001044435570178491, -0.0003137168887798591 ], [ 0.001019229892246227, -0.0009323192517123125, 0.003570514432440392, 0.0021005022572177312, 0.006684419739084186, -0.00412321982993344, 0.0022095112336236082, -0.00031929414037473654, 0.00009957569583260082 ], [ 0.000035805231636230894, -0.0000036930868285212136, -0.0003291480240336103, 0.00033010748808656173, 0.0000460717060686679, -0.0009492845783864007, 0.0002563976147563012, -0.000049741297146986904, 0.000038262169464000836 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.006277065563821768, 0.02068649474455732, 0.0074651958854802525, 0.001723639310940713 ], [ 0.003913890565504557, 0.026969433115666526, 0.03414957065380608, -0.003269968701444308, -0.12912166009047651, -0.0016819523999775522, -0.003227570066747081, 0.004011583448070179, -0.0016001883168858515 ], [ -0.00432069588994522, -0.019417058195832622, 0.0014031945461928158, -0.00042231244354109994, -0.008003832971160696, -0.0003643213142469133, 0.006406568933186596, -0.0017675801930130148, 0.00042979045361402654 ], [ 0.0002601783991523208, 0.001717573616797201, -0.004968713562232065, -0.00013206668354202942, -0.005629864647960482, 0.0013136623603024551, -0.00044903860513637647, -0.0003790823828180434, -0.00005368025915919722 ], [ 0.00025031451915248843, 0.000635578058751027, -0.00048535320223367447, 0.00012868496607550307, -0.000028823201325218952, 0.0006752463238092702, 0.00010530695314864215, -0.00015359306263602198, 0.0000642980647580189 ] ]

DiFbnP44MnHtFNkgSPteSuM

{"aspect_ratio": 7.772061973183513, "major_radius": 1.0, "max_elongation": 4.2156288492086675, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.11782674562982819, -0.06108100361338489, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.8619949969721358, 0.8619995103324395, 0.8620571583998828, 0.8622746381149277, 0.8627901815389425, 0.863752814053587, 0.8653073504704822, 0.8675835667183213, 0.870688670457132, 0.8747024514460262, 0.8796746267894, 0.8856239801387272, 0.8925389530389443, 0.9003793918196009, 0.909079190106304, 0.9185495980667503, 0.9286829965951083, 0.9393569588197586, 0.9504384432658081, 0.961787983167899, 0.9732637551244643, 0.9847254277348931, 0.9960377072279128, 1.0070735124918753, 1.017716726443821, 1.0278644843896179, 1.0374289729802313, 1.0463387255937293, 1.0545394114922864, 1.0619941269322222, 1.0686832065486933, 1.0746035827931917, 1.0797677299622381, 1.0842022374028444, 1.0879460637897302, 1.09104853090725, 1.0935671210914413, 1.0955651473379906, 1.0971093689879883, 1.0982676287728534, 1.0991065887137994, 1.0996896427743779, 1.1000750830502617, 1.100314593366506, 1.100452139042059, 1.100523313692743, 1.100555192380653, 1.100566723701997, 1.100569668867587, 1.1005700579615842, 1.1005700681309791], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.0733920703983597}

7.772062

1

4.215629

[ [ 0.8619949969721358, 0.8619995103324395, 0.8620571583998828, 0.8622746381149277, 0.8627901815389425, 0.863752814053587, 0.8653073504704822, 0.8675835667183213, 0.870688670457132, 0.8747024514460262, 0.8796746267894, 0.8856239801387272, 0.8925389530389443, 0.9003793918196009, 0.909079190106304, 0.9185495980667503, 0.9286829965951083, 0.9393569588197586, 0.9504384432658081, 0.961787983167899, 0.9732637551244643, 0.9847254277348931, 0.9960377072279128, 1.0070735124918753, 1.017716726443821, 1.0278644843896179, 1.0374289729802313, 1.0463387255937293, 1.0545394114922864, 1.0619941269322222, 1.0686832065486933, 1.0746035827931917, 1.0797677299622381, 1.0842022374028444, 1.0879460637897302, 1.09104853090725, 1.0935671210914413, 1.0955651473379906, 1.0971093689879883, 1.0982676287728534, 1.0991065887137994, 1.0996896427743779, 1.1000750830502617, 1.100314593366506, 1.100452139042059, 1.100523313692743, 1.100555192380653, 1.100566723701997, 1.100569668867587, 1.1005700579615842, 1.1005700681309791 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.11782674562982819, -0.06108100361338489, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.073392

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DLyHKWhSkG5NEFqJuTycoL6

null

false

null

false

DKSjSxhxFUJxRcrEWCxSPhW

DTZbmZRXBvEF75Xjca5zRvM

{"qi": 0.014802592828491126, "vacuum_well": -0.005682479318324414, "aspect_ratio": 7.732822610112447, "max_elongation": 7.252117571895826, "average_triangularity": 0.6180741761721147, "axis_magnetic_mirror_ratio": 0.15833239852524106, "edge_magnetic_mirror_ratio": 0.30440000216854474, "aspect_ratio_over_edge_rotational_transform": 5.053399202705924, "flux_compression_in_regions_of_bad_curvature": 2.045002833424953, "axis_rotational_transform_over_n_field_periods": 0.31765882377589594, "edge_rotational_transform_over_n_field_periods": 0.3060443990243946, "minimum_normalized_magnetic_gradient_scale_length": 4.1223014746822875}

7.732823

5.053399

0.64275

0.158332

0.317659

0.3044

0.306044

2.045003

7.252118

4.122301

0.014803

-0.005682

{"r_cos":[[0.0,0.0,0.0,0.0,0.9941872336140474,-0.005660426251520834,-0.0230707458539294,0.0006289861972641075,0.000367076805208933],[0.0005582401754500279,0.0002325114574449293,-0.017594891526756876,-0.07534548009146003,0.1999489106754681,-0.03188138171046202,0.0006485631465274078,-0.002780213863946686,0.00023445307924861247],[1.5947853137839035e-6,0.0046553711217030705,0.021190733799811803,0.028979309491590867,-0.020331135046845035,-0.010620073403966817,0.00590885725759205,-0.002200073450010883,0.00020956406019038748],[-0.00008153593551782212,-0.003561314507719509,-0.003669853004967647,-0.006959359357945527,-0.005249093076885069,0.0024880423332859815,0.00009768725922759702,0.0002446890992102719,0.000010869354705354505],[0.00047590529250094544,-0.000012362552471930096,0.00023008193326539157,-0.00019861247007121885,0.0005356813100225767,0.00010207566741369731,6.720344002437257e-6,0.0001062410159860252,-0.00005802466452231364]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.22550561462773464,0.03127830537362196,0.0008119493572456673,0.0008569569498227332],[-0.0011829134101736484,-0.0024653000139789466,-0.04217375245836673,-0.06941305317423174,-0.0993530038811077,0.007297873433546719,0.0006836028884467972,0.002653196201110415,0.00025486159175395004],[0.0004933253231356834,0.0034956525941947482,0.015723767402741166,-0.010305837158908999,0.016636240355990557,0.004174893931032993,-0.00034903617711939776,-0.00012536190413237926,0.00017969718669573508],[-0.0008541760463284356,-0.004414414757188635,-0.004796262632253247,0.012280149721729004,0.0059408066584679875,-0.00015171535171910628,-0.0016266827399672116,0.0005360599499131709,-0.00024597188632398853],[0.0004920430124355085,0.0010887911812344957,0.0004373244751222306,0.00017419780958018323,-0.0003618610060868531,-0.0006664992157048543,0.00045273312010633685,-0.0002612553148050313,0.00007314435910415424]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9941872336140474, -0.005660426251520834, -0.0230707458539294, 0.0006289861972641075, 0.000367076805208933 ], [ 0.0005582401754500279, 0.0002325114574449293, -0.017594891526756876, -0.07534548009146003, 0.1999489106754681, -0.03188138171046202, 0.0006485631465274078, -0.002780213863946686, 0.00023445307924861247 ], [ 0.0000015947853137839035, 0.0046553711217030705, 0.021190733799811803, 0.028979309491590867, -0.020331135046845035, -0.010620073403966817, 0.00590885725759205, -0.002200073450010883, 0.00020956406019038748 ], [ -0.00008153593551782212, -0.003561314507719509, -0.003669853004967647, -0.006959359357945527, -0.005249093076885069, 0.0024880423332859815, 0.00009768725922759702, 0.0002446890992102719, 0.000010869354705354505 ], [ 0.00047590529250094544, -0.000012362552471930096, 0.00023008193326539157, -0.00019861247007121885, 0.0005356813100225767, 0.00010207566741369731, 0.000006720344002437257, 0.0001062410159860252, -0.00005802466452231364 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.22550561462773464, 0.03127830537362196, 0.0008119493572456673, 0.0008569569498227332 ], [ -0.0011829134101736484, -0.0024653000139789466, -0.04217375245836673, -0.06941305317423174, -0.0993530038811077, 0.007297873433546719, 0.0006836028884467972, 0.002653196201110415, 0.00025486159175395004 ], [ 0.0004933253231356834, 0.0034956525941947482, 0.015723767402741166, -0.010305837158908999, 0.016636240355990557, 0.004174893931032993, -0.00034903617711939776, -0.00012536190413237926, 0.00017969718669573508 ], [ -0.0008541760463284356, -0.004414414757188635, -0.004796262632253247, 0.012280149721729004, 0.0059408066584679875, -0.00015171535171910628, -0.0016266827399672116, 0.0005360599499131709, -0.00024597188632398853 ], [ 0.0004920430124355085, 0.0010887911812344957, 0.0004373244751222306, 0.00017419780958018323, -0.0003618610060868531, -0.0006664992157048543, 0.00045273312010633685, -0.0002612553148050313, 0.00007314435910415424 ] ]

DhZ5bCcgRwh4qjC7eVBSwZa

{"aspect_ratio": 6.441718248224708, "major_radius": 1.0, "max_elongation": 4.722093506964106, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.06363878195362657, 0.05298097832598567, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7889957690607532, 0.7890612754977426, 0.7895620379290677, 0.790932039436106, 0.7935223115022076, 0.7975839517686337, 0.8032697059141903, 0.8106424011477318, 0.8196863375164387, 0.8303198189722149, 0.8424078386137578, 0.8557743410749158, 0.8702137128230074, 0.8855012898662461, 0.9014027624335145, 0.9176824174653155, 0.9341102028981736, 0.9504676288451824, 0.9665525435726887, 0.9821828389927744, 0.9971991527788532, 1.0114666432201185, 1.0248759192977006, 1.0373432127215951, 1.0488098812022546, 1.0592413333358555, 1.0686254653796863, 1.0769706990552739, 1.0843037074757849, 1.0906669134566167, 1.0961158409180072, 1.1007163958929782, 1.1045421488665308, 1.107671684835201, 1.1101860816231046, 1.112166570646736, 1.1136924275041808, 1.1148391324865654, 1.1156768333754292, 1.1162691346973341, 1.1166722289469004, 1.1169343761429722, 1.1170957284198266, 1.1171884861310613, 1.1172373610912754, 1.1172603110008148, 1.1172694966405834, 1.1172723998464815, 1.1172730251645506, 1.117273090663881, 1.1172730918511844], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4669471386349304}

6.441718

1

4.722094

[ [ 0.7889957690607532, 0.7890612754977426, 0.7895620379290677, 0.790932039436106, 0.7935223115022076, 0.7975839517686337, 0.8032697059141903, 0.8106424011477318, 0.8196863375164387, 0.8303198189722149, 0.8424078386137578, 0.8557743410749158, 0.8702137128230074, 0.8855012898662461, 0.9014027624335145, 0.9176824174653155, 0.9341102028981736, 0.9504676288451824, 0.9665525435726887, 0.9821828389927744, 0.9971991527788532, 1.0114666432201185, 1.0248759192977006, 1.0373432127215951, 1.0488098812022546, 1.0592413333358555, 1.0686254653796863, 1.0769706990552739, 1.0843037074757849, 1.0906669134566167, 1.0961158409180072, 1.1007163958929782, 1.1045421488665308, 1.107671684835201, 1.1101860816231046, 1.112166570646736, 1.1136924275041808, 1.1148391324865654, 1.1156768333754292, 1.1162691346973341, 1.1166722289469004, 1.1169343761429722, 1.1170957284198266, 1.1171884861310613, 1.1172373610912754, 1.1172603110008148, 1.1172694966405834, 1.1172723998464815, 1.1172730251645506, 1.117273090663881, 1.1172730918511844 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.06363878195362657, 0.05298097832598567, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.466947

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D3Gpbxk3droyfz4QM2W2suY

null

false

null

false

DmofAe2we8as8sN99PrmSHi

DeSMms4L7H9Mze8ifvyYbGC

{"qi": 0.020415198267343063, "vacuum_well": -0.2514695016935625, "aspect_ratio": 8.956686455856065, "max_elongation": 7.341106639776274, "average_triangularity": -0.25311876505787434, "axis_magnetic_mirror_ratio": 0.34306422382033697, "edge_magnetic_mirror_ratio": 0.44835354378550285, "aspect_ratio_over_edge_rotational_transform": 7.412549834273764, "flux_compression_in_regions_of_bad_curvature": 1.3733530405523802, "axis_rotational_transform_over_n_field_periods": 0.29093211131193947, "edge_rotational_transform_over_n_field_periods": 0.4027712755666794, "minimum_normalized_magnetic_gradient_scale_length": 3.6313065423846167}

8.956686

7.41255

-0.511247

0.343064

0.290932

0.448354

0.402771

1.373353

7.341107

3.631307

0.020415

-0.25147

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.06757834497338501,-0.04040561577906513,-0.005929887943620448,0.0022117836317888137],[-0.004466811053322773,0.018239701287851975,0.06227669519611563,-0.04650440976142159,0.09544561318482107,-0.012329014089094616,-0.017111547918502407,-0.0006088173805084036,0.002705457801714267],[0.003088592646554956,-0.004259562636422885,-0.008532373126874,-0.012380662638725835,-0.04603545886873058,0.005281157168722546,0.00009299063196128911,-0.0003363489200851927,-0.00025866555576577665],[-0.00174569353237259,-0.0020406609292228676,-0.008785720089342395,0.0013721135413316445,0.004483108560642991,0.0017103284892428965,0.0009691650052490817,-0.00024466817960700393,-0.0000268119164143788],[-0.00048549089550184703,0.0008605588926211172,0.0017189852809756615,-0.0001736011112479195,-0.00040381373590808034,-0.00008850667244136506,-0.00014418777124700294,0.00009523263982471589,-0.00004257913278653581]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.014422179649412599,0.00484226019977865,0.009375019414929997,-0.0034228662004646315],[-0.0038836971786284963,0.015841600482359847,0.04875530250468818,-0.029362166029667874,-0.13979096059721133,0.01845314350710417,0.018898443005261552,-0.00039040965482235474,-0.001974638729652972],[0.001577035445952114,-0.0017583240601458721,-0.024420852031340753,0.00014294691634707192,0.02829668281862148,0.00345189407128559,-0.0011826000446410155,-0.00016308040533143532,0.00038073801108443853],[-0.0008660195009718101,-0.003621051009101179,0.004370574520165805,0.0022675345149416387,-0.003524616243810237,-0.0004484121105130469,-0.0008418473740193669,0.00023794847489107848,-0.000018615491522825517],[-0.00008544801530916194,0.0000623036637249245,-0.00029454188361683324,-0.001052123277684835,0.0005479470297802155,0.00036847189411056753,0.00027772685519508576,-0.00020316904883748061,0.00005558313958168909]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.06757834497338501, -0.04040561577906513, -0.005929887943620448, 0.0022117836317888137 ], [ -0.004466811053322773, 0.018239701287851975, 0.06227669519611563, -0.04650440976142159, 0.09544561318482107, -0.012329014089094616, -0.017111547918502407, -0.0006088173805084036, 0.002705457801714267 ], [ 0.003088592646554956, -0.004259562636422885, -0.008532373126874, -0.012380662638725835, -0.04603545886873058, 0.005281157168722546, 0.00009299063196128911, -0.0003363489200851927, -0.00025866555576577665 ], [ -0.00174569353237259, -0.0020406609292228676, -0.008785720089342395, 0.0013721135413316445, 0.004483108560642991, 0.0017103284892428965, 0.0009691650052490817, -0.00024466817960700393, -0.0000268119164143788 ], [ -0.00048549089550184703, 0.0008605588926211172, 0.0017189852809756615, -0.0001736011112479195, -0.00040381373590808034, -0.00008850667244136506, -0.00014418777124700294, 0.00009523263982471589, -0.00004257913278653581 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.014422179649412599, 0.00484226019977865, 0.009375019414929997, -0.0034228662004646315 ], [ -0.0038836971786284963, 0.015841600482359847, 0.04875530250468818, -0.029362166029667874, -0.13979096059721133, 0.01845314350710417, 0.018898443005261552, -0.00039040965482235474, -0.001974638729652972 ], [ 0.001577035445952114, -0.0017583240601458721, -0.024420852031340753, 0.00014294691634707192, 0.02829668281862148, 0.00345189407128559, -0.0011826000446410155, -0.00016308040533143532, 0.00038073801108443853 ], [ -0.0008660195009718101, -0.003621051009101179, 0.004370574520165805, 0.0022675345149416387, -0.003524616243810237, -0.0004484121105130469, -0.0008418473740193669, 0.00023794847489107848, -0.000018615491522825517 ], [ -0.00008544801530916194, 0.0000623036637249245, -0.00029454188361683324, -0.001052123277684835, 0.0005479470297802155, 0.00036847189411056753, 0.00027772685519508576, -0.00020316904883748061, 0.00005558313958168909 ] ]

DjepzbTNHnPt8g58cZPASrL

{"aspect_ratio": 8.623405208487412, "major_radius": 1.0, "max_elongation": 6.229180964107636, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.13140743518105674, -0.4796100118563768, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6446024677439285, 0.6446065701147268, 0.6446775248156283, 0.6449992449550179, 0.6458632354203087, 0.6476318243687935, 0.6506991580571384, 0.6554554097267055, 0.6622564616965451, 0.6713999515690452, 0.6831078486582981, 0.6975153057911889, 0.71466527878584, 0.7345082560729895, 0.7569063587513949, 0.7816410358445144, 0.8084235772418487, 0.8369076887048621, 0.8667034129802975, 0.897391733769267, 0.9285392614512156, 0.9597124682372863, 0.9904910135602909, 1.0204797761346966, 1.0493192856778637, 1.0766943234413267, 1.1023405353046973, 1.1260489732218741, 1.1476685493786964, 1.1671064517124279, 1.1843266287192913, 1.1993465050595113, 1.2122321367319593, 1.2230920549447104, 1.2320700806984388, 1.2393374169974187, 1.2450843419988011, 1.2495118338098745, 1.2528234555589486, 1.2552178173144988, 1.256881908921078, 1.2579855643581446, 1.258677273284371, 1.2590814984410499, 1.2592975879278647, 1.259400288309164, 1.2594417671777685, 1.2594549410467581, 1.2594577746140323, 1.2594580678801623, 1.2594580730174383], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8915935860566937}

8.623405

1

6.229181

[ [ 0.6446024677439285, 0.6446065701147268, 0.6446775248156283, 0.6449992449550179, 0.6458632354203087, 0.6476318243687935, 0.6506991580571384, 0.6554554097267055, 0.6622564616965451, 0.6713999515690452, 0.6831078486582981, 0.6975153057911889, 0.71466527878584, 0.7345082560729895, 0.7569063587513949, 0.7816410358445144, 0.8084235772418487, 0.8369076887048621, 0.8667034129802975, 0.897391733769267, 0.9285392614512156, 0.9597124682372863, 0.9904910135602909, 1.0204797761346966, 1.0493192856778637, 1.0766943234413267, 1.1023405353046973, 1.1260489732218741, 1.1476685493786964, 1.1671064517124279, 1.1843266287192913, 1.1993465050595113, 1.2122321367319593, 1.2230920549447104, 1.2320700806984388, 1.2393374169974187, 1.2450843419988011, 1.2495118338098745, 1.2528234555589486, 1.2552178173144988, 1.256881908921078, 1.2579855643581446, 1.258677273284371, 1.2590814984410499, 1.2592975879278647, 1.259400288309164, 1.2594417671777685, 1.2594549410467581, 1.2594577746140323, 1.2594580678801623, 1.2594580730174383 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.13140743518105674, -0.4796100118563768, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.891594

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DUdtdCNJw5LeyqET8WJamhn

null

false

null

false

D82nW9W45e8Uevj7HG62fqx

D64ebFReojut63FJSzJ36Et

{"qi": 0.0010811778314180113, "vacuum_well": -0.07712324518836101, "aspect_ratio": 8.155983125787598, "max_elongation": 7.06648128444126, "average_triangularity": -0.32392805235293654, "axis_magnetic_mirror_ratio": 0.4143489659700521, "edge_magnetic_mirror_ratio": 0.43607561935607964, "aspect_ratio_over_edge_rotational_transform": 13.224223752731673, "flux_compression_in_regions_of_bad_curvature": 1.6883536829485046, "axis_rotational_transform_over_n_field_periods": 0.17439006595369042, "edge_rotational_transform_over_n_field_periods": 0.20558189975934252, "minimum_normalized_magnetic_gradient_scale_length": 5.98669817300229}

8.155983

13.224224

-0.792908

0.414349

0.17439

0.436076

0.205582

1.688354

7.066481

5.986698

0.001081

-0.077123

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.10358003994065404,-0.014503875798599873,-0.007643056211993258,0.00019616605651276648],[-0.0022870417144022683,0.0012080391600331462,-0.026897499810750694,-0.09003783990708172,0.10688396628809989,0.053800342364989935,0.004439652961637834,-0.004973980985901301,-0.0000542729770166932],[-0.0011458210005750708,-0.0027013931896904698,-0.0009975677530845311,0.024612966997657845,-0.04114956712388088,-0.002927941157562423,0.004884060066154035,0.003426483565482837,0.00043386843511114483],[0.0008114426899566739,-0.0003115544528156837,0.00723816951685179,-0.007286826118510241,0.0002526030155194786,0.00063834529728884,-0.0006510868650884578,0.00030511274189385247,0.00018418781537692883],[-0.0002813069175129552,0.0017336009231695229,-0.002096662421233027,-0.00011739982456268791,0.0012775053076898371,-0.00009794036719036442,-0.0005036939994414652,-0.00007562864373668386,0.000036105547555766605]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.2157278707046485,-0.04353864438697344,0.00046278834973000586,0.00006278172583615987],[0.00004283961618871748,-0.004105476955260234,-0.016551228081596564,-0.03840688062606533,-0.16153152400635803,-0.0048090644951153914,0.006377272191849416,0.0000860048306686608,0.0009403583596874288],[6.929885598657783e-6,-0.0025292940707177204,0.0009703014712565163,0.0062974576827433465,0.006829676226342952,-0.016478008129550855,-0.003856019448880854,-0.0014450755432445582,-0.00009947172797488218],[0.0008180040566320929,0.00003308823624867624,0.0043252369582961175,0.002077425603878127,0.0040091762639988355,0.0005080250720532058,-0.0015092916444785416,-0.0012006928092848273,0.00007298305076330143],[-0.0002374615328372599,0.00021349533856270756,0.0004909104708270695,0.00021672957904492635,-0.0012932031221632484,0.00030612420352309997,0.00048213397692999733,-0.000032849494135730445,-0.000031605121771]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.10358003994065404, -0.014503875798599873, -0.007643056211993258, 0.00019616605651276648 ], [ -0.0022870417144022683, 0.0012080391600331462, -0.026897499810750694, -0.09003783990708172, 0.10688396628809989, 0.053800342364989935, 0.004439652961637834, -0.004973980985901301, -0.0000542729770166932 ], [ -0.0011458210005750708, -0.0027013931896904698, -0.0009975677530845311, 0.024612966997657845, -0.04114956712388088, -0.002927941157562423, 0.004884060066154035, 0.003426483565482837, 0.00043386843511114483 ], [ 0.0008114426899566739, -0.0003115544528156837, 0.00723816951685179, -0.007286826118510241, 0.0002526030155194786, 0.00063834529728884, -0.0006510868650884578, 0.00030511274189385247, 0.00018418781537692883 ], [ -0.0002813069175129552, 0.0017336009231695229, -0.002096662421233027, -0.00011739982456268791, 0.0012775053076898371, -0.00009794036719036442, -0.0005036939994414652, -0.00007562864373668386, 0.000036105547555766605 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.2157278707046485, -0.04353864438697344, 0.00046278834973000586, 0.00006278172583615987 ], [ 0.00004283961618871748, -0.004105476955260234, -0.016551228081596564, -0.03840688062606533, -0.16153152400635803, -0.0048090644951153914, 0.006377272191849416, 0.0000860048306686608, 0.0009403583596874288 ], [ 0.000006929885598657783, -0.0025292940707177204, 0.0009703014712565163, 0.0062974576827433465, 0.006829676226342952, -0.016478008129550855, -0.003856019448880854, -0.0014450755432445582, -0.00009947172797488218 ], [ 0.0008180040566320929, 0.00003308823624867624, 0.0043252369582961175, 0.002077425603878127, 0.0040091762639988355, 0.0005080250720532058, -0.0015092916444785416, -0.0012006928092848273, 0.00007298305076330143 ], [ -0.0002374615328372599, 0.00021349533856270756, 0.0004909104708270695, 0.00021672957904492635, -0.0012932031221632484, 0.00030612420352309997, 0.00048213397692999733, -0.000032849494135730445, -0.000031605121771 ] ]

DiY4BToXkcBfYzEAUurvVTX

{"aspect_ratio": 8.061959490750422, "major_radius": 1.0, "max_elongation": 6.935394292273865, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04207941634245371, 0.13792212163223597, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6368353587912949, 0.6368373237147246, 0.6368663701589199, 0.6369887601191345, 0.6373070889965384, 0.637953041673232, 0.6390803511855424, 0.6408580965734478, 0.643464398453141, 0.6470805437387404, 0.6518855582476548, 0.658051238947954, 0.6657376533325007, 0.6750891105649475, 0.6862306070280684, 0.6992647473935564, 0.7142691411411695, 0.7312942734729585, 0.7503618487242194, 0.7714636036189917, 0.7945605870204507, 0.819582902160043, 0.8464299066735038, 0.8749708651097501, 0.9050460478944435, 0.9364682700083435, 0.9690248618654755, 1.0024800640299627, 1.036577836472791, 1.0710450720166018, 1.1055952024180549, 1.139932184156031, 1.1737548493820351, 1.2067616055840138, 1.2386554652332125, 1.2691493839128385, 1.2979718820114856, 1.3248729207837822, 1.349629998118587, 1.372054422241943, 1.391997712102315, 1.409358060211646, 1.4240867753991266, 1.436194596104206, 1.4457577237416182, 1.4529233591582107, 1.457914409685246, 1.4610328139569078, 1.4626604518531303, 1.4632553199724967, 1.4633353348450115], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.47159867007830947}

8.061959

1

6.935394

[ [ 0.6368353587912949, 0.6368373237147246, 0.6368663701589199, 0.6369887601191345, 0.6373070889965384, 0.637953041673232, 0.6390803511855424, 0.6408580965734478, 0.643464398453141, 0.6470805437387404, 0.6518855582476548, 0.658051238947954, 0.6657376533325007, 0.6750891105649475, 0.6862306070280684, 0.6992647473935564, 0.7142691411411695, 0.7312942734729585, 0.7503618487242194, 0.7714636036189917, 0.7945605870204507, 0.819582902160043, 0.8464299066735038, 0.8749708651097501, 0.9050460478944435, 0.9364682700083435, 0.9690248618654755, 1.0024800640299627, 1.036577836472791, 1.0710450720166018, 1.1055952024180549, 1.139932184156031, 1.1737548493820351, 1.2067616055840138, 1.2386554652332125, 1.2691493839128385, 1.2979718820114856, 1.3248729207837822, 1.349629998118587, 1.372054422241943, 1.391997712102315, 1.409358060211646, 1.4240867753991266, 1.436194596104206, 1.4457577237416182, 1.4529233591582107, 1.457914409685246, 1.4610328139569078, 1.4626604518531303, 1.4632553199724967, 1.4633353348450115 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.04207941634245371, 0.13792212163223597, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.471599

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DhRVGxPbjXAgt89F5K4fU2r

null

false

null

false

DViNsn6pB3zSq5pWZ5AMkcm

D9WA4SkEeqpjPGYmDY8gCJX

{"qi": 0.0034299926675392836, "vacuum_well": -0.11517181713784347, "aspect_ratio": 8.278431568816664, "max_elongation": 7.239319139421936, "average_triangularity": -0.453723304032675, "axis_magnetic_mirror_ratio": 0.378936913564955, "edge_magnetic_mirror_ratio": 0.45276476253400516, "aspect_ratio_over_edge_rotational_transform": 17.197254879151895, "flux_compression_in_regions_of_bad_curvature": 1.5858374628390934, "axis_rotational_transform_over_n_field_periods": 0.15210943483637962, "edge_rotational_transform_over_n_field_periods": 0.12034524735183964, "minimum_normalized_magnetic_gradient_scale_length": 4.389988872519174}

8.278432

17.197255

-0.375829

0.378937

0.152109

0.452765

0.120345

1.585837

7.239319

4.389989

0.00343

-0.115172

{"r_cos":[[0.0,0.0,0.0,0.0,0.991305969855562,0.0015351438343871413,-0.032057670131208534,0.004083800146182738,0.0009271403372523925],[-0.000985071730112262,-0.006002337837439029,-0.033560448862218435,-0.05501168983319145,0.18741466145251132,-0.0019420218624602477,-0.023492028673571086,-0.0003248115759192831,-0.0010921544843469212],[-0.0005207471914356882,0.00264156942465278,-0.004701882385554699,-0.002989867870831735,-0.015617776582290046,0.023015638717330776,-0.0045651081978638685,-0.0012181519137124419,-0.00015924316662767218],[0.00028627347788736686,0.0005589194460143789,0.00008841874443563658,-0.0010341468462994284,0.0035456960379906034,-0.0008276645307078139,0.0001747008579034941,-0.00010673707331132761,-0.00015407322115290682],[-0.00018930225694217668,0.000012089365599816465,0.0010095640385957417,0.0003550477748228698,-0.000516426593349769,0.000992393051739272,-0.0004434589362818361,0.00018898740490116945,-0.0001868410865753671]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.2425860146265455,0.015562644497606457,0.004045997170339797,0.0009688062736629317],[0.0013256031825817811,-0.010904686492754853,-0.011777626168385588,-0.07059190693019476,-0.10822260003059005,0.06730690854635094,-0.021391745494520185,0.014258551184054167,-0.0015599773762397925],[-0.0007443029056169441,-0.001759289034225024,-0.005869045102943597,-0.009208209133143422,-0.026777767827307432,0.007787535408728438,-0.001969974362909491,0.001212530414177887,0.00060786397320562],[0.00005547196149272948,-0.00036635970115124234,0.0004506937906673329,0.0004848176797470111,-0.00239330489755366,-0.002557788481308244,-0.0005966587557824869,0.0007077751485265346,0.00006124863973048814],[-0.00003449286622716032,0.00002244560792619225,0.00019142704901638403,0.00013725314374503117,0.0012359514726743843,-0.000352768515897001,0.0003731302940083637,-0.00012196509568941996,0.00008732285658352354]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.991305969855562, 0.0015351438343871413, -0.032057670131208534, 0.004083800146182738, 0.0009271403372523925 ], [ -0.000985071730112262, -0.006002337837439029, -0.033560448862218435, -0.05501168983319145, 0.18741466145251132, -0.0019420218624602477, -0.023492028673571086, -0.0003248115759192831, -0.0010921544843469212 ], [ -0.0005207471914356882, 0.00264156942465278, -0.004701882385554699, -0.002989867870831735, -0.015617776582290046, 0.023015638717330776, -0.0045651081978638685, -0.0012181519137124419, -0.00015924316662767218 ], [ 0.00028627347788736686, 0.0005589194460143789, 0.00008841874443563658, -0.0010341468462994284, 0.0035456960379906034, -0.0008276645307078139, 0.0001747008579034941, -0.00010673707331132761, -0.00015407322115290682 ], [ -0.00018930225694217668, 0.000012089365599816465, 0.0010095640385957417, 0.0003550477748228698, -0.000516426593349769, 0.000992393051739272, -0.0004434589362818361, 0.00018898740490116945, -0.0001868410865753671 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.2425860146265455, 0.015562644497606457, 0.004045997170339797, 0.0009688062736629317 ], [ 0.0013256031825817811, -0.010904686492754853, -0.011777626168385588, -0.07059190693019476, -0.10822260003059005, 0.06730690854635094, -0.021391745494520185, 0.014258551184054167, -0.0015599773762397925 ], [ -0.0007443029056169441, -0.001759289034225024, -0.005869045102943597, -0.009208209133143422, -0.026777767827307432, 0.007787535408728438, -0.001969974362909491, 0.001212530414177887, 0.00060786397320562 ], [ 0.00005547196149272948, -0.00036635970115124234, 0.0004506937906673329, 0.0004848176797470111, -0.00239330489755366, -0.002557788481308244, -0.0005966587557824869, 0.0007077751485265346, 0.00006124863973048814 ], [ -0.00003449286622716032, 0.00002244560792619225, 0.00019142704901638403, 0.00013725314374503117, 0.0012359514726743843, -0.000352768515897001, 0.0003731302940083637, -0.00012196509568941996, 0.00008732285658352354 ] ]

DMAaw3NCjpLJcnPDpBVZmdB

{"aspect_ratio": 7.6762260329195176, "major_radius": 1.0, "max_elongation": 6.623328476496953, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0016440040762617987, -0.3909002715878208, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.6822936526699874, 0.682295929945712, 0.682325363166199, 0.6824399633141869, 0.6827230192837275, 0.6832767708903306, 0.6842173394538928, 0.6856703740481525, 0.6877671999671066, 0.690641359434268, 0.6944254796266651, 0.6992484263089017, 0.7052327147505595, 0.7124921579551936, 0.7211297377870911, 0.731235688477482, 0.7428857848493893, 0.7561398297853429, 0.7710403372004155, 0.7876114082205029, 0.8058577995014029, 0.825764183728351, 0.8472946033608872, 0.8703921196762197, 0.8949786601514451, 0.9209550682441953, 0.9482013607155615, 0.9765771988239933, 1.0059225810447696, 1.0360587664851475, 1.0667894399308404, 1.0979021315526676, 1.1291699068250898, 1.1603533452981636, 1.191202830709638, 1.2214611797882524, 1.2508666433603213, 1.2791563215816666, 1.306070046104405, 1.3313547970309285, 1.3547697436395438, 1.3760920284442357, 1.395123459952268, 1.4116983509591436, 1.4256928564449416, 1.4370363696184194, 1.4457259206549966, 1.4518453324721052, 1.4555928631466957, 1.45732719898195, 1.4576743546366429], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5288999442576727}

7.676226

1

6.623328

[ [ 0.6822936526699874, 0.682295929945712, 0.682325363166199, 0.6824399633141869, 0.6827230192837275, 0.6832767708903306, 0.6842173394538928, 0.6856703740481525, 0.6877671999671066, 0.690641359434268, 0.6944254796266651, 0.6992484263089017, 0.7052327147505595, 0.7124921579551936, 0.7211297377870911, 0.731235688477482, 0.7428857848493893, 0.7561398297853429, 0.7710403372004155, 0.7876114082205029, 0.8058577995014029, 0.825764183728351, 0.8472946033608872, 0.8703921196762197, 0.8949786601514451, 0.9209550682441953, 0.9482013607155615, 0.9765771988239933, 1.0059225810447696, 1.0360587664851475, 1.0667894399308404, 1.0979021315526676, 1.1291699068250898, 1.1603533452981636, 1.191202830709638, 1.2214611797882524, 1.2508666433603213, 1.2791563215816666, 1.306070046104405, 1.3313547970309285, 1.3547697436395438, 1.3760920284442357, 1.395123459952268, 1.4116983509591436, 1.4256928564449416, 1.4370363696184194, 1.4457259206549966, 1.4518453324721052, 1.4555928631466957, 1.45732719898195, 1.4576743546366429 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.0016440040762617987, -0.3909002715878208, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.5289

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DQQ4sc6h3GXU75Qko9Cg3XV

null

false

null

false

D5B57vxkyJPhMwJ6ue2dXnW

DYsbEk2E39G6LTAz44nXXr9

{"qi": 0.005464403818640128, "vacuum_well": -0.09054378214162286, "aspect_ratio": 8.557201069672526, "max_elongation": 5.504909349455159, "average_triangularity": -0.3384379427217156, "axis_magnetic_mirror_ratio": 0.20412459658788287, "edge_magnetic_mirror_ratio": 0.24066764326666518, "aspect_ratio_over_edge_rotational_transform": 14.444761947194277, "flux_compression_in_regions_of_bad_curvature": 1.5406653444764702, "axis_rotational_transform_over_n_field_periods": 0.1560993816833958, "edge_rotational_transform_over_n_field_periods": 0.19746953026882896, "minimum_normalized_magnetic_gradient_scale_length": 5.204378426763994}

8.557201

14.444762

-0.543704

0.204125

0.156099

0.240668

0.19747

1.540665

5.504909

5.204378

0.005464

-0.090544

{"r_cos":[[0.0,0.0,0.0,0.0,0.9993494324248305,0.028224354709805718,-0.021546963280420547,0.0005313225662379739,-0.0013817385066522483],[-0.0009219807430614819,-0.003656371574970764,-0.009840939963345594,-0.08363147748251201,0.1493142996925865,0.027510855792946046,-0.0052817749809880386,0.001139222860872901,0.0007342062373704491],[-0.0011898295811824315,-0.003514513326903918,-0.006123902761059577,0.004197868320006565,-0.027047165160137963,0.021016440990059823,-0.00009262730839480976,-0.0008385925857607641,0.0006126763505709202],[0.002583318219355366,0.0027794562943227142,0.009347603904318979,-0.0015106511812226276,-0.006882563781869919,-0.0004260306101526867,0.001676452849421025,-0.00045163847560629054,0.00006237167248265016],[0.00026649181049978696,-0.0008625924944548945,-0.0024559762810322902,0.0011854821556031838,0.0005313095434854621,-0.000896146068415698,-0.0002101294044594853,0.0001014706548504512,-0.00010003727478673653]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.427941676518987,-0.0007885235410456451,-0.00642181202720626,-0.00020837115847753725],[0.00035077079242974533,-0.0022163946002032205,-0.015779337582613406,-0.04261907631328851,-0.11765552635583089,0.011150934483615094,-0.01086408822350049,0.00189040493554957,-0.0007309254581093884],[-0.0017211780178160198,-0.00003481234985058362,-0.008408561120199217,0.0012232611330507818,-0.0061165508039525,-0.0037781137350621635,-0.0006627325003413483,-0.0005134802888655257,0.00006298006095871108],[0.0006486432432571654,0.0015659035888829424,0.0004293039450372941,0.001183348994839566,0.0012387416447446047,0.0008742371277891954,-0.00010212413815681939,-0.000057799445418770207,0.00014798304859865925],[0.000045593161249387996,-0.0004671999034758364,0.0002342799122395138,0.00003620340909956472,0.000035997300179648785,-7.65927120114035e-6,0.00014043216900709907,-0.000048301353703903674,0.00004866401185731452]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9993494324248305, 0.028224354709805718, -0.021546963280420547, 0.0005313225662379739, -0.0013817385066522483 ], [ -0.0009219807430614819, -0.003656371574970764, -0.009840939963345594, -0.08363147748251201, 0.1493142996925865, 0.027510855792946046, -0.0052817749809880386, 0.001139222860872901, 0.0007342062373704491 ], [ -0.0011898295811824315, -0.003514513326903918, -0.006123902761059577, 0.004197868320006565, -0.027047165160137963, 0.021016440990059823, -0.00009262730839480976, -0.0008385925857607641, 0.0006126763505709202 ], [ 0.002583318219355366, 0.0027794562943227142, 0.009347603904318979, -0.0015106511812226276, -0.006882563781869919, -0.0004260306101526867, 0.001676452849421025, -0.00045163847560629054, 0.00006237167248265016 ], [ 0.00026649181049978696, -0.0008625924944548945, -0.0024559762810322902, 0.0011854821556031838, 0.0005313095434854621, -0.000896146068415698, -0.0002101294044594853, 0.0001014706548504512, -0.00010003727478673653 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.427941676518987, -0.0007885235410456451, -0.00642181202720626, -0.00020837115847753725 ], [ 0.00035077079242974533, -0.0022163946002032205, -0.015779337582613406, -0.04261907631328851, -0.11765552635583089, 0.011150934483615094, -0.01086408822350049, 0.00189040493554957, -0.0007309254581093884 ], [ -0.0017211780178160198, -0.00003481234985058362, -0.008408561120199217, 0.0012232611330507818, -0.0061165508039525, -0.0037781137350621635, -0.0006627325003413483, -0.0005134802888655257, 0.00006298006095871108 ], [ 0.0006486432432571654, 0.0015659035888829424, 0.0004293039450372941, 0.001183348994839566, 0.0012387416447446047, 0.0008742371277891954, -0.00010212413815681939, -0.000057799445418770207, 0.00014798304859865925 ], [ 0.000045593161249387996, -0.0004671999034758364, 0.0002342799122395138, 0.00003620340909956472, 0.000035997300179648785, -0.00000765927120114035, 0.00014043216900709907, -0.000048301353703903674, 0.00004866401185731452 ] ]

DJWyeA8oAP2qhiQyzW3w8LJ

{"aspect_ratio": 8.473775684143902, "major_radius": 1.0, "max_elongation": 5.0096581943254375, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.10966305457060913, 0.41174904768560927, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.8322831075567291, 0.8322834540114914, 0.8322894471676082, 0.8323173776468726, 0.8323955218728963, 0.8325634879228098, 0.8328710374303905, 0.8333766268016906, 0.8341457844657272, 0.8352493940263821, 0.8367619304942513, 0.8387596840888852, 0.8413189983097723, 0.8445145438639902, 0.8484176465217401, 0.8530946844633032, 0.8586055688458325, 0.8650023199516346, 0.872327750251897, 0.8806142649467191, 0.8898827899672566, 0.9001418370105296, 0.9113867148961168, 0.9235988963695525, 0.9367455494194413, 0.9507792422191225, 0.9656378309488973, 0.9812445400055698, 0.9975082444712311, 1.0143239652070342, 1.0315735875808074, 1.0491268156585625, 1.0668423747290487, 1.0845694763421048, 1.1021495617013237, 1.1194183413652148, 1.1362081519289107, 1.1523506538980437, 1.167679899649636, 1.1820358066907646, 1.1952680801397593, 1.207240640707262, 1.217836632539648, 1.2269641128153612, 1.2345625689237318, 1.240610483466553, 1.2451343032803344, 1.2482194436318554, 1.250024601260617, 1.2508025398836158, 1.2509396826514698], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4212573516790159}

8.473776

1

5.009658

[ [ 0.8322831075567291, 0.8322834540114914, 0.8322894471676082, 0.8323173776468726, 0.8323955218728963, 0.8325634879228098, 0.8328710374303905, 0.8333766268016906, 0.8341457844657272, 0.8352493940263821, 0.8367619304942513, 0.8387596840888852, 0.8413189983097723, 0.8445145438639902, 0.8484176465217401, 0.8530946844633032, 0.8586055688458325, 0.8650023199516346, 0.872327750251897, 0.8806142649467191, 0.8898827899672566, 0.9001418370105296, 0.9113867148961168, 0.9235988963695525, 0.9367455494194413, 0.9507792422191225, 0.9656378309488973, 0.9812445400055698, 0.9975082444712311, 1.0143239652070342, 1.0315735875808074, 1.0491268156585625, 1.0668423747290487, 1.0845694763421048, 1.1021495617013237, 1.1194183413652148, 1.1362081519289107, 1.1523506538980437, 1.167679899649636, 1.1820358066907646, 1.1952680801397593, 1.207240640707262, 1.217836632539648, 1.2269641128153612, 1.2345625689237318, 1.240610483466553, 1.2451343032803344, 1.2482194436318554, 1.250024601260617, 1.2508025398836158, 1.2509396826514698 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.10966305457060913, 0.41174904768560927, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.421257

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DZFjF9cc2pi2CJKyQeP8YXR

null

false

null

false

DC6zPF7e6f9CJ2vbYdkLPZj

DmxwFFQ25rDiRanFaYewccg

{"qi": 0.0014774426456876755, "vacuum_well": -0.13692550262992348, "aspect_ratio": 9.233372712395006, "max_elongation": 5.34116652549929, "average_triangularity": -0.41194175916553877, "axis_magnetic_mirror_ratio": 0.29312116592169574, "edge_magnetic_mirror_ratio": 0.34726503145476945, "aspect_ratio_over_edge_rotational_transform": 16.69003919437696, "flux_compression_in_regions_of_bad_curvature": 1.4047677559298164, "axis_rotational_transform_over_n_field_periods": 0.2000018828126635, "edge_rotational_transform_over_n_field_periods": 0.18440884819303519, "minimum_normalized_magnetic_gradient_scale_length": 7.460903874412455}

9.233373

16.690039

-0.785564

0.293121

0.200002

0.347265

0.184409

1.404768

5.341167

7.460904

0.001477

-0.136926

{"r_cos":[[0.0,0.0,0.0,0.0,0.9985430154540642,0.0465584140535016,-0.024551639101072702,-0.0034954145565158777,-0.0011278485157604368],[0.0008146196424754714,0.007039265165652285,0.008088316910183772,-0.04727831016972411,0.09962738984290968,-0.02106751655565845,-0.0073939449796610116,-0.0011910306718690973,-0.0003958743759539934],[-0.0009598324600443839,-0.0004280558477081084,-0.007865709797627676,-0.01091151557203633,-0.008986698526853885,0.012044303369476832,-0.005754637270359712,0.0005269719018470545,-0.00005930107423075782],[0.00041766968572302016,0.0027270921240469077,-0.004521527915055067,-0.004065032853791574,0.0007192170999796381,-0.0007103469541240662,0.0005364505125470763,0.000013806340903120724,-0.000014053991055825495],[0.0005040140524248179,-0.0006864505894570855,-0.0019130303870894126,-0.001292858119759043,-0.0008750988927924072,0.0002525398745476501,0.00013590719515912389,0.00004888637711904573,-0.000024108874080237586]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1813639404343682,-0.006946298541768193,0.0034105537894056352,-0.0001008338388344323],[0.001701070100931801,0.0022751810837892354,0.001442904071428283,-0.06988504051527823,-0.15021448189384137,0.00564763485391076,-0.006326405716262853,0.0036898264607409517,0.0006420359439377552],[-0.0011044070487214131,-0.005797094171517563,-0.015357494924298644,-0.0002818376227120157,0.008700352573043411,0.009883812699830047,-0.0005081279546366091,0.00024877763623060113,0.00001060611860567121],[-0.000450305177399521,-0.0011308511706192904,-0.0023442320637993104,0.000696684387672931,0.0011499751404962222,0.0004854606398584996,-0.0009182969424186723,-0.00022945006625589895,-0.00004095276290669181],[-0.00018639433340319382,-0.0009504697040523388,-0.0001320502607550829,0.0002976984307954269,0.0005906075337194652,0.00035617071497890784,-0.00014508698085592976,0.000029908733365901303,-0.000014880636031101166]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9985430154540642, 0.0465584140535016, -0.024551639101072702, -0.0034954145565158777, -0.0011278485157604368 ], [ 0.0008146196424754714, 0.007039265165652285, 0.008088316910183772, -0.04727831016972411, 0.09962738984290968, -0.02106751655565845, -0.0073939449796610116, -0.0011910306718690973, -0.0003958743759539934 ], [ -0.0009598324600443839, -0.0004280558477081084, -0.007865709797627676, -0.01091151557203633, -0.008986698526853885, 0.012044303369476832, -0.005754637270359712, 0.0005269719018470545, -0.00005930107423075782 ], [ 0.00041766968572302016, 0.0027270921240469077, -0.004521527915055067, -0.004065032853791574, 0.0007192170999796381, -0.0007103469541240662, 0.0005364505125470763, 0.000013806340903120724, -0.000014053991055825495 ], [ 0.0005040140524248179, -0.0006864505894570855, -0.0019130303870894126, -0.001292858119759043, -0.0008750988927924072, 0.0002525398745476501, 0.00013590719515912389, 0.00004888637711904573, -0.000024108874080237586 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1813639404343682, -0.006946298541768193, 0.0034105537894056352, -0.0001008338388344323 ], [ 0.001701070100931801, 0.0022751810837892354, 0.001442904071428283, -0.06988504051527823, -0.15021448189384137, 0.00564763485391076, -0.006326405716262853, 0.0036898264607409517, 0.0006420359439377552 ], [ -0.0011044070487214131, -0.005797094171517563, -0.015357494924298644, -0.0002818376227120157, 0.008700352573043411, 0.009883812699830047, -0.0005081279546366091, 0.00024877763623060113, 0.00001060611860567121 ], [ -0.000450305177399521, -0.0011308511706192904, -0.0023442320637993104, 0.000696684387672931, 0.0011499751404962222, 0.0004854606398584996, -0.0009182969424186723, -0.00022945006625589895, -0.00004095276290669181 ], [ -0.00018639433340319382, -0.0009504697040523388, -0.0001320502607550829, 0.0002976984307954269, 0.0005906075337194652, 0.00035617071497890784, -0.00014508698085592976, 0.000029908733365901303, -0.000014880636031101166 ] ]

DDjEL7ZhR6DKofZcQbcrKie

{"aspect_ratio": 10.49657961009199, "major_radius": 1.0, "max_elongation": 6.044787741493158, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.17815172634089332, 0.6425704618462871, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.7214674365533278, 0.7214674869058165, 0.7214692503931937, 0.7214818603322835, 0.7215291956589898, 0.7216557203573629, 0.7219303069701882, 0.7224479711398895, 0.723329618361522, 0.7247199939572952, 0.7267840777167993, 0.7297021926271328, 0.7336641107073795, 0.7388624425775598, 0.7454855936945847, 0.7537105609001243, 0.7636958292278333, 0.7755746116559482, 0.7894486542958848, 0.8053828068629935, 0.8234005335664616, 0.8434805130944374, 0.8655544484190412, 0.8895061779275436, 0.9151721490963333, 0.9423432847389648, 0.9707682399399684, 1.0001580152842056, 1.0301918590543857, 1.0605243578427195, 1.0907935816551726, 1.1206301162340682, 1.149666782154204, 1.1775488074442622, 1.2039441882590196, 1.2285539407234065, 1.2511219167794576, 1.271443828051078, 1.2893750948527483, 1.3048371130950898, 1.3178215107688502, 1.3283919490047518, 1.3366830119633248, 1.34289572732344, 1.347289268537971, 1.3501684173279636, 1.3518664208265228, 1.352722983379764, 1.3530573350355217, 1.353136743194154, 1.353141963529061], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6179512972713889}

10.49658

1

6.044788

[ [ 0.7214674365533278, 0.7214674869058165, 0.7214692503931937, 0.7214818603322835, 0.7215291956589898, 0.7216557203573629, 0.7219303069701882, 0.7224479711398895, 0.723329618361522, 0.7247199939572952, 0.7267840777167993, 0.7297021926271328, 0.7336641107073795, 0.7388624425775598, 0.7454855936945847, 0.7537105609001243, 0.7636958292278333, 0.7755746116559482, 0.7894486542958848, 0.8053828068629935, 0.8234005335664616, 0.8434805130944374, 0.8655544484190412, 0.8895061779275436, 0.9151721490963333, 0.9423432847389648, 0.9707682399399684, 1.0001580152842056, 1.0301918590543857, 1.0605243578427195, 1.0907935816551726, 1.1206301162340682, 1.149666782154204, 1.1775488074442622, 1.2039441882590196, 1.2285539407234065, 1.2511219167794576, 1.271443828051078, 1.2893750948527483, 1.3048371130950898, 1.3178215107688502, 1.3283919490047518, 1.3366830119633248, 1.34289572732344, 1.347289268537971, 1.3501684173279636, 1.3518664208265228, 1.352722983379764, 1.3530573350355217, 1.353136743194154, 1.353141963529061 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.17815172634089332, 0.6425704618462871, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.617951

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DAgzsqJGwjUtevnmFx2ZoYs

null

false

null

false

DNTtmhvNWW7gjgez6FMFKZo

DFX22Ca3WR2t9og5AMPbnYN

{"qi": 0.02297678758048764, "vacuum_well": -0.13946492514249262, "aspect_ratio": 8.99806415020168, "max_elongation": 6.289638049665278, "average_triangularity": -0.40113014287753845, "axis_magnetic_mirror_ratio": 0.2943511752439455, "edge_magnetic_mirror_ratio": 0.3943559904480631, "aspect_ratio_over_edge_rotational_transform": 9.258904051396325, "flux_compression_in_regions_of_bad_curvature": 1.6504273129891494, "axis_rotational_transform_over_n_field_periods": 0.24555414846962473, "edge_rotational_transform_over_n_field_periods": 0.2429570524830283, "minimum_normalized_magnetic_gradient_scale_length": 5.536361782332423}

8.998064

9.258904

-0.575059

0.294351

0.245554

0.394356

0.242957

1.650427

6.289638

5.536362

0.022977

-0.139465

{"r_cos":[[0.0,0.0,0.0,0.0,0.9977799193905245,0.0004744228553872731,-0.04627823828174919,0.00005873420698236306,0.00005034729800886808],[0.001636282324959529,0.008742850748723567,-0.01452186181898306,-0.07685927823691589,0.13813778902561386,-0.001343020807403797,-0.00787854087024765,-0.0008156036355391749,-0.0005280113939444929],[-0.001515904045582541,0.002921861427614563,-0.005842697232299996,-0.005401119869133143,-0.013068782075425481,0.014465394565246422,-0.0037257156894191998,0.0007046094761808828,-0.000509345297493046],[-0.000047889733801996084,0.0010177038994643147,-0.00004876418776736724,-0.0008179070765948717,0.0017768802964276053,-0.0008804441092171955,0.0004454480674414221,-0.00020021150291180904,-0.000021687680594489496],[-0.0000883469412793671,0.000010250463320322922,-0.00006615893259443988,0.0006322055352645977,-0.000737402908541138,-3.4464164075454287e-6,0.000031800294286903684,-0.00008363780556901613,4.17230240415536e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1893610656729059,0.013041070370479045,0.008947070741673462,-0.0011648402981124881],[0.0019645466373360166,-0.0022397033450571573,-0.009096479151524305,-0.08387750663699713,-0.1380054008003612,0.026706165865431872,-0.017409954619096092,0.007191149697724641,-0.0006232297187808165],[-0.0003113805514061537,-0.0030035192960845957,-0.0012663186391661447,0.004147553825160919,-0.010667984889416643,0.0027510522496217342,-0.004241606669645452,0.0016564723230303802,-0.00012777908858028816],[0.000202451406005856,0.0016446676132736947,0.005191438044775955,0.0019675710803261108,-0.0036675530757871427,0.0020529943094626845,-0.00043699650144385154,0.0005881446727875899,-0.00010633871905211268],[0.00017562039812463203,-0.0005768830051849994,0.00003481895973155908,-0.0017794785853169869,0.0024386194295795455,-0.0011659197396283374,0.0006899643607993964,-0.00007926396050943034,0.00006953092118685959]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9977799193905245, 0.0004744228553872731, -0.04627823828174919, 0.00005873420698236306, 0.00005034729800886808 ], [ 0.001636282324959529, 0.008742850748723567, -0.01452186181898306, -0.07685927823691589, 0.13813778902561386, -0.001343020807403797, -0.00787854087024765, -0.0008156036355391749, -0.0005280113939444929 ], [ -0.001515904045582541, 0.002921861427614563, -0.005842697232299996, -0.005401119869133143, -0.013068782075425481, 0.014465394565246422, -0.0037257156894191998, 0.0007046094761808828, -0.000509345297493046 ], [ -0.000047889733801996084, 0.0010177038994643147, -0.00004876418776736724, -0.0008179070765948717, 0.0017768802964276053, -0.0008804441092171955, 0.0004454480674414221, -0.00020021150291180904, -0.000021687680594489496 ], [ -0.0000883469412793671, 0.000010250463320322922, -0.00006615893259443988, 0.0006322055352645977, -0.000737402908541138, -0.0000034464164075454287, 0.000031800294286903684, -0.00008363780556901613, 0.00000417230240415536 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1893610656729059, 0.013041070370479045, 0.008947070741673462, -0.0011648402981124881 ], [ 0.0019645466373360166, -0.0022397033450571573, -0.009096479151524305, -0.08387750663699713, -0.1380054008003612, 0.026706165865431872, -0.017409954619096092, 0.007191149697724641, -0.0006232297187808165 ], [ -0.0003113805514061537, -0.0030035192960845957, -0.0012663186391661447, 0.004147553825160919, -0.010667984889416643, 0.0027510522496217342, -0.004241606669645452, 0.0016564723230303802, -0.00012777908858028816 ], [ 0.000202451406005856, 0.0016446676132736947, 0.005191438044775955, 0.0019675710803261108, -0.0036675530757871427, 0.0020529943094626845, -0.00043699650144385154, 0.0005881446727875899, -0.00010633871905211268 ], [ 0.00017562039812463203, -0.0005768830051849994, 0.00003481895973155908, -0.0017794785853169869, 0.0024386194295795455, -0.0011659197396283374, 0.0006899643607993964, -0.00007926396050943034, 0.00006953092118685959 ] ]

Df5Rr9ByNSA4rDVhiBQSdNq

{"aspect_ratio": 8.150268445780615, "major_radius": 1.0, "max_elongation": 5.328546753857396, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.020212443227167396, -0.5246577009087063, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.739242165331427, 0.7392477098052037, 0.7393287039158425, 0.7396599505214055, 0.7404888896132172, 0.7420990076396601, 0.7447790604688628, 0.7487985333873342, 0.7543890579022238, 0.761731268539563, 0.7709464923024976, 0.7820926355363842, 0.7951636366367508, 0.8100918743441902, 0.8267529531108322, 0.8449723251329995, 0.8645332506486492, 0.8851856423937441, 0.9066553856068399, 0.9286537708881414, 0.9508867229817682, 0.973063553715388, 0.9949050115483457, 1.0161504431602197, 1.0365639240136486, 1.0559392546377901, 1.0741037573143237, 1.0909208437349978, 1.106291357877797, 1.1201537296638935, 1.1324830037588582, 1.1432888340182996, 1.152612557396316, 1.1605234814750172, 1.167114536965737, 1.1724974603953415, 1.1767976825247934, 1.180149104629622, 1.1826889473511262, 1.1845528551116562, 1.1858704327337537, 1.1867613794973602, 1.1873323689004358, 1.1876747992064962, 1.1878635096143997, 1.187956518404605, 1.1879957910265657, 1.1880089852306348, 1.188012042746797, 1.1880123946472745, 1.1880124019909672], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1379319732750712}

8.150268

1

5.328547

[ [ 0.739242165331427, 0.7392477098052037, 0.7393287039158425, 0.7396599505214055, 0.7404888896132172, 0.7420990076396601, 0.7447790604688628, 0.7487985333873342, 0.7543890579022238, 0.761731268539563, 0.7709464923024976, 0.7820926355363842, 0.7951636366367508, 0.8100918743441902, 0.8267529531108322, 0.8449723251329995, 0.8645332506486492, 0.8851856423937441, 0.9066553856068399, 0.9286537708881414, 0.9508867229817682, 0.973063553715388, 0.9949050115483457, 1.0161504431602197, 1.0365639240136486, 1.0559392546377901, 1.0741037573143237, 1.0909208437349978, 1.106291357877797, 1.1201537296638935, 1.1324830037588582, 1.1432888340182996, 1.152612557396316, 1.1605234814750172, 1.167114536965737, 1.1724974603953415, 1.1767976825247934, 1.180149104629622, 1.1826889473511262, 1.1845528551116562, 1.1858704327337537, 1.1867613794973602, 1.1873323689004358, 1.1876747992064962, 1.1878635096143997, 1.187956518404605, 1.1879957910265657, 1.1880089852306348, 1.188012042746797, 1.1880123946472745, 1.1880124019909672 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.020212443227167396, -0.5246577009087063, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.137932

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DMKfAJyYzut6AYLFpTtn3mj

null

false

null

false

DP7d3Uu8rx5f2PX5Rpych4v

Dfcg7eaNQgpcHbyArbkwN4S

{"qi": 0.013913181570864122, "vacuum_well": -0.04874676650831761, "aspect_ratio": 8.763776659595111, "max_elongation": 5.015594787355521, "average_triangularity": 0.17338954930102035, "axis_magnetic_mirror_ratio": 0.15240703967741137, "edge_magnetic_mirror_ratio": 0.23281583961314556, "aspect_ratio_over_edge_rotational_transform": 9.441325792952865, "flux_compression_in_regions_of_bad_curvature": 1.4328890110583643, "axis_rotational_transform_over_n_field_periods": 0.2152566363768426, "edge_rotational_transform_over_n_field_periods": 0.2320589515652694, "minimum_normalized_magnetic_gradient_scale_length": 6.624787623638203}

8.763777

9.441326

0.182415

0.152407

0.215257

0.232816

0.232059

1.432889

5.015595

6.624788

0.013913

-0.048747

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991132207970896,-0.009353129250785052,-0.02044856801338407,-0.00006034021788528867,-0.0004228917517570965],[0.00041660109010600475,-0.004117424561212299,-0.02284443422828014,-0.04852986851952168,0.16865940867786858,-0.021983203507280308,-0.0009721911165653657,-0.00019325387712017033,-0.0003068636484496796],[0.0008342580640773187,0.003626833966832126,0.010860608566081264,0.02341588826875008,-0.035724150290125135,0.008037947765229717,0.0007591718251398222,-0.0013356204142667277,0.00011716080396217997],[0.00011724188850731149,0.0003993293277796988,0.0013852752476172466,-0.002581300214821674,0.00438760917858488,-0.0014140757098807396,0.0014686560725093675,0.00012370368466814866,0.000019295986016006525],[0.000025344915626143807,0.0003483017799124845,-0.00044171548164466786,-0.0001881407174376551,0.0006049513476661348,0.00026199806259535446,-0.0002868293909057983,0.00017212744667216345,-1.1876124725564962e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.21305826841892356,0.019210010820151145,-0.0009719972192793008,0.0004962700281239824],[-0.0006179318957676045,-0.003871997400049441,-0.023181543040747835,-0.07151364343683612,-0.08982872492647995,0.0268128538638636,-0.007172286204220925,0.0034727701591082344,-0.00029091276226261755],[0.00037530557770333757,0.0010369751716697091,0.0014560865240233435,0.003057603743670218,0.00757507721182743,-0.005348874888293793,0.0003812736475586968,0.00007235664179635769,-0.000111302188774925],[-0.00020314292577920532,-0.00030477056051692524,-0.000039154687495591175,0.0035911551365415957,-0.00043051582110129223,-0.0006787326818905536,-0.0013635434375379642,-0.00004885528955110281,-0.00006761706753752317],[0.000014020165257029958,0.00009875790731168637,0.00035087942023997494,-0.0010386094250303551,0.0002686553017541713,-0.000026390378816378056,0.00020035896376821382,-0.000059799686621543735,0.00001818362168040947]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9991132207970896, -0.009353129250785052, -0.02044856801338407, -0.00006034021788528867, -0.0004228917517570965 ], [ 0.00041660109010600475, -0.004117424561212299, -0.02284443422828014, -0.04852986851952168, 0.16865940867786858, -0.021983203507280308, -0.0009721911165653657, -0.00019325387712017033, -0.0003068636484496796 ], [ 0.0008342580640773187, 0.003626833966832126, 0.010860608566081264, 0.02341588826875008, -0.035724150290125135, 0.008037947765229717, 0.0007591718251398222, -0.0013356204142667277, 0.00011716080396217997 ], [ 0.00011724188850731149, 0.0003993293277796988, 0.0013852752476172466, -0.002581300214821674, 0.00438760917858488, -0.0014140757098807396, 0.0014686560725093675, 0.00012370368466814866, 0.000019295986016006525 ], [ 0.000025344915626143807, 0.0003483017799124845, -0.00044171548164466786, -0.0001881407174376551, 0.0006049513476661348, 0.00026199806259535446, -0.0002868293909057983, 0.00017212744667216345, -0.0000011876124725564962 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.21305826841892356, 0.019210010820151145, -0.0009719972192793008, 0.0004962700281239824 ], [ -0.0006179318957676045, -0.003871997400049441, -0.023181543040747835, -0.07151364343683612, -0.08982872492647995, 0.0268128538638636, -0.007172286204220925, 0.0034727701591082344, -0.00029091276226261755 ], [ 0.00037530557770333757, 0.0010369751716697091, 0.0014560865240233435, 0.003057603743670218, 0.00757507721182743, -0.005348874888293793, 0.0003812736475586968, 0.00007235664179635769, -0.000111302188774925 ], [ -0.00020314292577920532, -0.00030477056051692524, -0.000039154687495591175, 0.0035911551365415957, -0.00043051582110129223, -0.0006787326818905536, -0.0013635434375379642, -0.00004885528955110281, -0.00006761706753752317 ], [ 0.000014020165257029958, 0.00009875790731168637, 0.00035087942023997494, -0.0010386094250303551, 0.0002686553017541713, -0.000026390378816378056, 0.00020035896376821382, -0.000059799686621543735, 0.00001818362168040947 ] ]

D7Nad9xL2p3S6J5s4EhbJHr

{"aspect_ratio": 8.329268692743081, "major_radius": 1.0, "max_elongation": 4.516634900467765, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.037368852622708025, 0.27159630279412267, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.8409323408263045, 0.8409338395720872, 0.8409576338234237, 0.8410610344608671, 0.8413329136138605, 0.8418844044411999, 0.8428395416085559, 0.8443265973866669, 0.8464704190266874, 0.8493858982715405, 0.853172615447706, 0.8579106494192377, 0.8636575126043132, 0.8704461491393131, 0.8782839200175371, 0.8871524893501664, 0.8970085194407562, 0.9077850782800041, 0.919393660795803, 0.9317267243542684, 0.9446606393341335, 0.9580589568987048, 0.9717758982273242, 0.9856599723394487, 0.9995576331731906, 1.0133168907107155, 1.0267907956350975, 1.03984072222957, 1.0523393799735912, 1.064173490543146, 1.0752460736863148, 1.0854782927288922, 1.0948108182872611, 1.10320467715495, 1.110641562324788, 1.11712358976314, 1.1226724979360323, 1.127328297290299, 1.1311473890361563, 1.1342001858200002, 1.1365682814321079, 1.1383412328579459, 1.139613036169311, 1.1404783985670315, 1.1410289332452161, 1.1413494331015035, 1.1415144161250703, 1.1415851840551594, 1.1416077058261354, 1.1416117505880319, 1.1416119230594328], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.937779915888731}

8.329269

1

4.516635

[ [ 0.8409323408263045, 0.8409338395720872, 0.8409576338234237, 0.8410610344608671, 0.8413329136138605, 0.8418844044411999, 0.8428395416085559, 0.8443265973866669, 0.8464704190266874, 0.8493858982715405, 0.853172615447706, 0.8579106494192377, 0.8636575126043132, 0.8704461491393131, 0.8782839200175371, 0.8871524893501664, 0.8970085194407562, 0.9077850782800041, 0.919393660795803, 0.9317267243542684, 0.9446606393341335, 0.9580589568987048, 0.9717758982273242, 0.9856599723394487, 0.9995576331731906, 1.0133168907107155, 1.0267907956350975, 1.03984072222957, 1.0523393799735912, 1.064173490543146, 1.0752460736863148, 1.0854782927288922, 1.0948108182872611, 1.10320467715495, 1.110641562324788, 1.11712358976314, 1.1226724979360323, 1.127328297290299, 1.1311473890361563, 1.1342001858200002, 1.1365682814321079, 1.1383412328579459, 1.139613036169311, 1.1404783985670315, 1.1410289332452161, 1.1413494331015035, 1.1415144161250703, 1.1415851840551594, 1.1416077058261354, 1.1416117505880319, 1.1416119230594328 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.037368852622708025, 0.27159630279412267, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.93778

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DLwQ8mszEzRFfoD7rrpAkTP

null

false

null

false

DBGJfUyZXPYZXmqaLrVBvY4

DWahyakd6xcP48G3jEHtjvp

{"qi": 0.02047239515720572, "vacuum_well": -0.03787011321338793, "aspect_ratio": 7.918313128596134, "max_elongation": 6.698864286120492, "average_triangularity": -0.40297903821446296, "axis_magnetic_mirror_ratio": 0.5914478878608188, "edge_magnetic_mirror_ratio": 0.8420371024747982, "aspect_ratio_over_edge_rotational_transform": 8.360665967396306, "flux_compression_in_regions_of_bad_curvature": 1.4741983817740714, "axis_rotational_transform_over_n_field_periods": 0.2667075629278905, "edge_rotational_transform_over_n_field_periods": 0.23677279894552677, "minimum_normalized_magnetic_gradient_scale_length": 2.8196119256722483}

7.918313

8.360666

-0.435464

0.591448

0.266708

0.842037

0.236773

1.474198

6.698864

2.819612

0.020472

-0.03787

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.12943590054476045,-0.046297438489812534,-0.002953756859527068,0.002212866832739041],[-0.0007450329682364687,0.005738628640304489,0.04444997313323448,0.04191676317346589,0.09351668699818803,-0.042523227899065666,0.004918276588355076,0.0003699668917797579,-0.0008803590572010187],[-0.00030233594276224185,-0.004624622472586162,-0.0182108287024178,0.007742462768618973,-0.005311617878712316,-0.0034020232764163678,0.004448818970675893,-0.002790192010097258,0.00038143907098343806],[-0.0007008201014075265,0.0010051275831040362,0.004242612466182627,-0.0030081402672753697,0.0029608573369467543,-0.0012441544972057296,0.0003218633678697606,-0.00021002997578086727,0.00002579363305787194],[0.00029024793566873725,-0.00047041846727776564,-0.0007246071328561003,0.0011749153316587334,-0.00024488355169852843,-0.00020596617154998404,0.00013805670400670244,-0.00004694790492384916,-0.000021134344644786903]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07779378709013543,0.0160257563494514,-0.0019682712725318874,0.0005318712677502436],[0.0011177148532536374,0.01232787007157627,0.05855415690587529,0.012511568756501994,-0.18171273640729604,0.03668475751513902,-0.0032618299974641433,-0.0016579332817674942,0.0011247818811866773],[0.0005779269924313103,-0.006090458919146757,-0.015981982341489447,-0.0012878926463803539,-0.0012263718250046791,0.0008412884693176475,-0.0026106038960125822,0.0010451791440408355,0.00026091560105028736],[-0.0007231739535736417,-0.0006954142392870436,-0.001876534230408114,-0.002939547046029239,-0.0014831797152705913,0.0006940722074444739,-0.0003094663014032393,0.0001897588072104583,0.000055689741137927655],[0.0001734718716118683,0.00007918616031328452,0.0006809730163267113,-0.0008823339820913775,-0.000033649936275464455,0.00008442085829310698,0.00004169416212538527,-0.00006568477480000367,0.00003898123643825179]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.12943590054476045, -0.046297438489812534, -0.002953756859527068, 0.002212866832739041 ], [ -0.0007450329682364687, 0.005738628640304489, 0.04444997313323448, 0.04191676317346589, 0.09351668699818803, -0.042523227899065666, 0.004918276588355076, 0.0003699668917797579, -0.0008803590572010187 ], [ -0.00030233594276224185, -0.004624622472586162, -0.0182108287024178, 0.007742462768618973, -0.005311617878712316, -0.0034020232764163678, 0.004448818970675893, -0.002790192010097258, 0.00038143907098343806 ], [ -0.0007008201014075265, 0.0010051275831040362, 0.004242612466182627, -0.0030081402672753697, 0.0029608573369467543, -0.0012441544972057296, 0.0003218633678697606, -0.00021002997578086727, 0.00002579363305787194 ], [ 0.00029024793566873725, -0.00047041846727776564, -0.0007246071328561003, 0.0011749153316587334, -0.00024488355169852843, -0.00020596617154998404, 0.00013805670400670244, -0.00004694790492384916, -0.000021134344644786903 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07779378709013543, 0.0160257563494514, -0.0019682712725318874, 0.0005318712677502436 ], [ 0.0011177148532536374, 0.01232787007157627, 0.05855415690587529, 0.012511568756501994, -0.18171273640729604, 0.03668475751513902, -0.0032618299974641433, -0.0016579332817674942, 0.0011247818811866773 ], [ 0.0005779269924313103, -0.006090458919146757, -0.015981982341489447, -0.0012878926463803539, -0.0012263718250046791, 0.0008412884693176475, -0.0026106038960125822, 0.0010451791440408355, 0.00026091560105028736 ], [ -0.0007231739535736417, -0.0006954142392870436, -0.001876534230408114, -0.002939547046029239, -0.0014831797152705913, 0.0006940722074444739, -0.0003094663014032393, 0.0001897588072104583, 0.000055689741137927655 ], [ 0.0001734718716118683, 0.00007918616031328452, 0.0006809730163267113, -0.0008823339820913775, -0.000033649936275464455, 0.00008442085829310698, 0.00004169416212538527, -0.00006568477480000367, 0.00003898123643825179 ] ]

DDaRG3ZGvyPea6bEMuPpXQq

{"aspect_ratio": 7.530407023002579, "major_radius": 1.0, "max_elongation": 6.589013158375462, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.29480071022779325, 0.07796308028547963, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.5965014709337455, 0.5965249631703561, 0.5967971287453967, 0.5977597931341915, 0.5999350388010511, 0.6038417150273105, 0.609943422400378, 0.6186162826343027, 0.6301307264742616, 0.6446436371239286, 0.6621982330861604, 0.6827296969192886, 0.70607497264666, 0.7319854563051126, 0.7601415359566174, 0.7901681233208542, 0.8216504728562986, 0.8541497141418469, 0.8872176352997018, 0.9204103526667247, 0.953300587557014, 0.985488346625097, 1.016609869408653, 1.046344766134438, 1.0744213216018441, 1.100619987530031, 1.1247751266503214, 1.1467751074289962, 1.1665608789223878, 1.1841231811400525, 1.1994985676161678, 1.2127644338156918, 1.2240332576457302, 1.2334462667877824, 1.2411667518677394, 1.2473732446646077, 1.25225277662522, 1.255994424871092, 1.2587833405939066, 1.260795438140419, 1.2621929020447316, 1.2631206435800468, 1.263703807805196, 1.2640463962070223, 1.264231028379894, 1.264319818016315, 1.2643562827431398, 1.2643681423706585, 1.264370783149825, 1.264371071442501, 1.26437107698929], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1593989232578834}

7.530407

1

6.589013

[ [ 0.5965014709337455, 0.5965249631703561, 0.5967971287453967, 0.5977597931341915, 0.5999350388010511, 0.6038417150273105, 0.609943422400378, 0.6186162826343027, 0.6301307264742616, 0.6446436371239286, 0.6621982330861604, 0.6827296969192886, 0.70607497264666, 0.7319854563051126, 0.7601415359566174, 0.7901681233208542, 0.8216504728562986, 0.8541497141418469, 0.8872176352997018, 0.9204103526667247, 0.953300587557014, 0.985488346625097, 1.016609869408653, 1.046344766134438, 1.0744213216018441, 1.100619987530031, 1.1247751266503214, 1.1467751074289962, 1.1665608789223878, 1.1841231811400525, 1.1994985676161678, 1.2127644338156918, 1.2240332576457302, 1.2334462667877824, 1.2411667518677394, 1.2473732446646077, 1.25225277662522, 1.255994424871092, 1.2587833405939066, 1.260795438140419, 1.2621929020447316, 1.2631206435800468, 1.263703807805196, 1.2640463962070223, 1.264231028379894, 1.264319818016315, 1.2643562827431398, 1.2643681423706585, 1.264370783149825, 1.264371071442501, 1.26437107698929 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.29480071022779325, 0.07796308028547963, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.159399

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DkVMCzJVi8f9CXEteuzemwW

null

false

null

false

DDtZPcHptQtuTGgniCSeek5

Df8AAwCjjKT9k8WEvdPvTxS

{"qi": 0.00976578236691408, "vacuum_well": -0.14194320416318776, "aspect_ratio": 10.144406371650568, "max_elongation": 5.332129325564652, "average_triangularity": -0.12091880508024291, "axis_magnetic_mirror_ratio": 0.17738782109576678, "edge_magnetic_mirror_ratio": 0.23620962429861952, "aspect_ratio_over_edge_rotational_transform": 8.441258340233478, "flux_compression_in_regions_of_bad_curvature": 1.6005231832750537, "axis_rotational_transform_over_n_field_periods": 0.27878983444874084, "edge_rotational_transform_over_n_field_periods": 0.2403529417717118, "minimum_normalized_magnetic_gradient_scale_length": 10.628153483358851}

10.144406

8.441258

-0.06839

0.177388

0.27879

0.23621

0.240353

1.600523

5.332129

10.628153

0.009766

-0.141943

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991941084796979,0.00613297966825494,-0.005423846706852892,0.000552213877342481,-0.00007411164710642135],[-0.00007389037267362179,0.000022568258755774285,-0.004887548471261602,-0.06635189630304518,0.12807684456523388,-0.013320104482202746,-0.0024127700368703426,0.0008972248538910673,0.000041064999442997545],[0.0005712500366461655,-0.00002206391513933975,0.007154560131629176,0.007915124488555924,-0.008195802828250167,0.011665087343059755,-0.0033450278687187788,0.0002949145162045452,0.00003536920998259798],[2.181574855054795e-6,0.0008533679115571743,-0.002483391449702708,-0.0001841933812863788,0.004417903235723142,-0.0017883867514857698,0.0008202071257508957,-0.0002428548142863284,0.000046560514719775985],[-0.00003860014868940805,-0.0005988924823644159,0.0001718208895632381,0.00015005859426054898,0.0002363572928587637,0.0008087432033688203,-0.0007861407489728038,0.0003588392020174493,-0.0000614897512132183]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06877859801485499,0.004309393062133498,-0.0002079310349775102,0.00013573062753275894],[-0.00024397683419969925,-0.0015300764712820691,-0.007308469488507944,-0.08780505205851996,-0.127730333507047,0.024015688906311984,-0.00036249592683904345,-0.00038525887384961645,-0.000033711251975168246],[0.0005773532630798559,-0.0008405994576560752,0.00770022239728126,0.020554850078502707,-0.022531867358095176,0.0007162547981661299,0.0016133486856335397,-0.0001929035681415899,-0.000028420809913371696],[0.00023542768672180124,0.0005239718504499772,-0.000957125427670958,0.005508583655876266,-0.008759516354096622,0.0025791968446493185,-0.00041884134716802863,0.00008005795448591573,-0.000049818912347601184],[0.00006934247369263973,0.0005606130012685847,-0.0011112000193981607,0.000387645726016312,-0.0015647570377005917,0.0002723956430551455,0.0003568376755097275,-0.00020923235506703852,0.000025033747460490376]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9991941084796979, 0.00613297966825494, -0.005423846706852892, 0.000552213877342481, -0.00007411164710642135 ], [ -0.00007389037267362179, 0.000022568258755774285, -0.004887548471261602, -0.06635189630304518, 0.12807684456523388, -0.013320104482202746, -0.0024127700368703426, 0.0008972248538910673, 0.000041064999442997545 ], [ 0.0005712500366461655, -0.00002206391513933975, 0.007154560131629176, 0.007915124488555924, -0.008195802828250167, 0.011665087343059755, -0.0033450278687187788, 0.0002949145162045452, 0.00003536920998259798 ], [ 0.000002181574855054795, 0.0008533679115571743, -0.002483391449702708, -0.0001841933812863788, 0.004417903235723142, -0.0017883867514857698, 0.0008202071257508957, -0.0002428548142863284, 0.000046560514719775985 ], [ -0.00003860014868940805, -0.0005988924823644159, 0.0001718208895632381, 0.00015005859426054898, 0.0002363572928587637, 0.0008087432033688203, -0.0007861407489728038, 0.0003588392020174493, -0.0000614897512132183 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06877859801485499, 0.004309393062133498, -0.0002079310349775102, 0.00013573062753275894 ], [ -0.00024397683419969925, -0.0015300764712820691, -0.007308469488507944, -0.08780505205851996, -0.127730333507047, 0.024015688906311984, -0.00036249592683904345, -0.00038525887384961645, -0.000033711251975168246 ], [ 0.0005773532630798559, -0.0008405994576560752, 0.00770022239728126, 0.020554850078502707, -0.022531867358095176, 0.0007162547981661299, 0.0016133486856335397, -0.0001929035681415899, -0.000028420809913371696 ], [ 0.00023542768672180124, 0.0005239718504499772, -0.000957125427670958, 0.005508583655876266, -0.008759516354096622, 0.0025791968446493185, -0.00041884134716802863, 0.00008005795448591573, -0.000049818912347601184 ], [ 0.00006934247369263973, 0.0005606130012685847, -0.0011112000193981607, 0.000387645726016312, -0.0015647570377005917, 0.0002723956430551455, 0.0003568376755097275, -0.00020923235506703852, 0.000025033747460490376 ] ]

DXbqE49UrRuJFGNSVhUtq8s

{"aspect_ratio": 11.804031173659663, "major_radius": 1.0, "max_elongation": 4.882564767875309, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.17213132943705506, -0.07419059814861109, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.8154915146184801, 0.8154915253672401, 0.8154921074535026, 0.8154974924976442, 0.8155215525044793, 0.8155944965094973, 0.8157685880874016, 0.816121864182164, 0.8167593376485072, 0.8178115424325859, 0.8194305605588394, 0.8217838719187486, 0.8250465043566345, 0.8293920432196942, 0.834983095285142, 0.8419617995914372, 0.8504409441484623, 0.8604961890853245, 0.8721598192585517, 0.8854163579441212, 0.9002002727893821, 0.916395900112508, 0.9338396079286482, 0.9523241154035067, 0.9716047900753673, 0.9914076570781536, 1.0114387793189428, 1.031394606335237, 1.0509728442412443, 1.0698833712611542, 1.0878587139547649, 1.1046636090879143, 1.120103205497674, 1.1340295091283745, 1.1463457420874628, 1.1570083720139648, 1.166026669654067, 1.1734597680940215, 1.179411323745984, 1.184022013302657, 1.1874602379864367, 1.1899115409988592, 1.191567369343685, 1.1926139187719023, 1.1932218799955359, 1.1935379421431418, 1.1936788879962683, 1.1937290103282314, 1.1937413530513923, 1.1937428735300812, 1.1937429080749793], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4038041669578543}

11.804031

1

4.882565

[ [ 0.8154915146184801, 0.8154915253672401, 0.8154921074535026, 0.8154974924976442, 0.8155215525044793, 0.8155944965094973, 0.8157685880874016, 0.816121864182164, 0.8167593376485072, 0.8178115424325859, 0.8194305605588394, 0.8217838719187486, 0.8250465043566345, 0.8293920432196942, 0.834983095285142, 0.8419617995914372, 0.8504409441484623, 0.8604961890853245, 0.8721598192585517, 0.8854163579441212, 0.9002002727893821, 0.916395900112508, 0.9338396079286482, 0.9523241154035067, 0.9716047900753673, 0.9914076570781536, 1.0114387793189428, 1.031394606335237, 1.0509728442412443, 1.0698833712611542, 1.0878587139547649, 1.1046636090879143, 1.120103205497674, 1.1340295091283745, 1.1463457420874628, 1.1570083720139648, 1.166026669654067, 1.1734597680940215, 1.179411323745984, 1.184022013302657, 1.1874602379864367, 1.1899115409988592, 1.191567369343685, 1.1926139187719023, 1.1932218799955359, 1.1935379421431418, 1.1936788879962683, 1.1937290103282314, 1.1937413530513923, 1.1937428735300812, 1.1937429080749793 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.17213132943705506, -0.07419059814861109, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.403804

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D8tiPPPaBfF9mRCv3HhyN7L

null

false

null

false

D27M8bP3yuFG47qtfHcY6Tv

DgcT9UQxkdAEwbcPLeWaUSL

{"qi": 0.007982977424016293, "vacuum_well": -0.21891368215546708, "aspect_ratio": 5.728812539854203, "max_elongation": 6.525096263483813, "average_triangularity": 0.04717337447948121, "axis_magnetic_mirror_ratio": 0.5820533854034444, "edge_magnetic_mirror_ratio": 0.9089347597088445, "aspect_ratio_over_edge_rotational_transform": 9.25804276085126, "flux_compression_in_regions_of_bad_curvature": 2.025453652104362, "axis_rotational_transform_over_n_field_periods": 0.23426625913914068, "edge_rotational_transform_over_n_field_periods": 0.20626435082222672, "minimum_normalized_magnetic_gradient_scale_length": 1.00751656299263}

5.728813

9.258043

-0.006418

0.582053

0.234266

0.908935

0.206264

2.025454

6.525096

1.007517

0.007983

-0.218914

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.5095389321963744,0.06563940131136113,-0.011607554687846692,0.00021560637532359002],[0.0011268931900746172,0.008327935249088833,-0.025322100342874625,-0.13369856279690107,0.11787720649819505,0.05645898172519744,0.014264463352998615,-0.0019104269521783464,-0.0019012493005288774],[-0.003904689045525028,0.0012850909344911728,0.00901912719332352,-0.011519341402207277,-0.001460592206170036,0.0022835979078960752,-0.008290965973224299,0.00058701903329802,0.0005116028230007495],[0.0036145853768735784,-0.004615457866563917,0.00919591355785712,-0.0064478459056406135,0.0025123626655724797,-0.0027553642936327446,0.000048846338377353873,-0.0002196703549399515,0.0000708365965936392],[-0.00036095910792226097,0.000885383297404976,-0.0018018427082964997,0.0015659691487586195,-0.0009835158889892979,0.0001549917136032037,-0.00004939608148756198,0.00005664930885526361,-0.00004395811888661201]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1342813467279102,-0.08503321504449253,-0.0124153719525481,-0.0003051284796127332],[-0.0003976086508959096,0.0072767109649568874,-0.031882953537438335,0.004948121829804648,-0.16803862513126458,-0.04046941999625199,-0.0032207227835058527,0.009965535494899102,-0.0007931586714974827],[-0.00004231008532278198,-0.009826985217854241,0.02143320976478507,0.00006121018747025538,-0.003645693193831261,-0.01222100845205084,0.012236891414008291,-0.0019176449000798592,-0.00016713131752120285],[0.0007713505196055916,0.0039593173166270375,-0.0035030633741425536,0.007326229979379669,-0.004269705348318508,0.003154566953709622,0.0004918980947510145,-0.0002958326149137393,0.00013092346224897826],[-0.00019163040847404076,-0.00032763300564945304,0.000548732948951633,-0.0014697142232109723,0.0009353528719219092,-0.00008759081562626251,-0.00018392421030652848,0.00017555790062408541,-0.00001587288639757101]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.5095389321963744, 0.06563940131136113, -0.011607554687846692, 0.00021560637532359002 ], [ 0.0011268931900746172, 0.008327935249088833, -0.025322100342874625, -0.13369856279690107, 0.11787720649819505, 0.05645898172519744, 0.014264463352998615, -0.0019104269521783464, -0.0019012493005288774 ], [ -0.003904689045525028, 0.0012850909344911728, 0.00901912719332352, -0.011519341402207277, -0.001460592206170036, 0.0022835979078960752, -0.008290965973224299, 0.00058701903329802, 0.0005116028230007495 ], [ 0.0036145853768735784, -0.004615457866563917, 0.00919591355785712, -0.0064478459056406135, 0.0025123626655724797, -0.0027553642936327446, 0.000048846338377353873, -0.0002196703549399515, 0.0000708365965936392 ], [ -0.00036095910792226097, 0.000885383297404976, -0.0018018427082964997, 0.0015659691487586195, -0.0009835158889892979, 0.0001549917136032037, -0.00004939608148756198, 0.00005664930885526361, -0.00004395811888661201 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1342813467279102, -0.08503321504449253, -0.0124153719525481, -0.0003051284796127332 ], [ -0.0003976086508959096, 0.0072767109649568874, -0.031882953537438335, 0.004948121829804648, -0.16803862513126458, -0.04046941999625199, -0.0032207227835058527, 0.009965535494899102, -0.0007931586714974827 ], [ -0.00004231008532278198, -0.009826985217854241, 0.02143320976478507, 0.00006121018747025538, -0.003645693193831261, -0.01222100845205084, 0.012236891414008291, -0.0019176449000798592, -0.00016713131752120285 ], [ 0.0007713505196055916, 0.0039593173166270375, -0.0035030633741425536, 0.007326229979379669, -0.004269705348318508, 0.003154566953709622, 0.0004918980947510145, -0.0002958326149137393, 0.00013092346224897826 ], [ -0.00019163040847404076, -0.00032763300564945304, 0.000548732948951633, -0.0014697142232109723, 0.0009353528719219092, -0.00008759081562626251, -0.00018392421030652848, 0.00017555790062408541, -0.00001587288639757101 ] ]

DfvWqnyMGaed5NMZQy8SqAV

{"aspect_ratio": 5.625336222054038, "major_radius": 1.0, "max_elongation": 6.787665465418136, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.17360934440925646, 0.25617656218322277, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6108311023773785, 0.610948396461556, 0.6116297385533715, 0.6132511302061566, 0.6160939600470977, 0.620371960569379, 0.6262439582222182, 0.6338220633360299, 0.6431776978626921, 0.6543463984981789, 0.6673318459483714, 0.6821093667438692, 0.6986290548738222, 0.7168186072754128, 0.7365859363718892, 0.7578216038862924, 0.7804011079229342, 0.8041870470960479, 0.8290311797843419, 0.8547763925170072, 0.8812585885115152, 0.908308505145202, 0.9357534674287661, 0.9634190832112646, 0.9911308847803854, 1.0187159206563732, 1.0460043006607431, 1.072830696733057, 1.0990358014409263, 1.1244677456564367, 1.1489834764367637, 1.1724500957303383, 1.194746160115905, 1.2157629413527435, 1.2354056470566346, 1.2535946002938811, 1.2702663762737803, 1.285374893575931, 1.2988924564119446, 1.3108107432015084, 1.321141735101651, 1.3299185758437044, 1.3371963509348648, 1.3430527693232077, 1.3475887228081889, 1.3509286854262696, 1.353220891610046, 1.3546371856294073, 1.355372330128891, 1.3556422684910552, 1.3556795514745619], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4624572684465848}

5.625336

1

6.787665

[ [ 0.6108311023773785, 0.610948396461556, 0.6116297385533715, 0.6132511302061566, 0.6160939600470977, 0.620371960569379, 0.6262439582222182, 0.6338220633360299, 0.6431776978626921, 0.6543463984981789, 0.6673318459483714, 0.6821093667438692, 0.6986290548738222, 0.7168186072754128, 0.7365859363718892, 0.7578216038862924, 0.7804011079229342, 0.8041870470960479, 0.8290311797843419, 0.8547763925170072, 0.8812585885115152, 0.908308505145202, 0.9357534674287661, 0.9634190832112646, 0.9911308847803854, 1.0187159206563732, 1.0460043006607431, 1.072830696733057, 1.0990358014409263, 1.1244677456564367, 1.1489834764367637, 1.1724500957303383, 1.194746160115905, 1.2157629413527435, 1.2354056470566346, 1.2535946002938811, 1.2702663762737803, 1.285374893575931, 1.2988924564119446, 1.3108107432015084, 1.321141735101651, 1.3299185758437044, 1.3371963509348648, 1.3430527693232077, 1.3475887228081889, 1.3509286854262696, 1.353220891610046, 1.3546371856294073, 1.355372330128891, 1.3556422684910552, 1.3556795514745619 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.17360934440925646, 0.25617656218322277, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.462457

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D9sUV8EgCywiRi6Cw4ehNyL

null

false

null

false

DCjMghoEAoLvXfuSMDYod2Z

DTVR8PyPMnnfbbBHBx4Db3C

{"qi": 0.0028135485241992464, "vacuum_well": -0.11961202132002685, "aspect_ratio": 9.949675251006761, "max_elongation": 5.92325782345432, "average_triangularity": -0.2537230538386755, "axis_magnetic_mirror_ratio": 0.26584277099726655, "edge_magnetic_mirror_ratio": 0.29327070466042554, "aspect_ratio_over_edge_rotational_transform": 17.867232581520323, "flux_compression_in_regions_of_bad_curvature": 1.127295619103538, "axis_rotational_transform_over_n_field_periods": 0.1415253198773229, "edge_rotational_transform_over_n_field_periods": 0.11137343408511384, "minimum_normalized_magnetic_gradient_scale_length": 8.095658192951769}

9.949675

17.867233

-0.374102

0.265843

0.141525

0.293271

0.111373

1.127296

5.923258

8.095658

0.002814

-0.119612

{"r_cos":[[0.0,0.0,0.0,0.0,0.997522437068671,0.0231602974972466,-0.00839590282029729,-0.0011850168372783895,-0.00035910608216029646],[-0.0003557737974453759,-0.0016575301826026899,-0.007460606196690148,-0.03746284951844175,0.09953342966388223,-0.008545872707720644,-0.006810997146890731,0.000575576110141707,-4.913391283239532e-7],[0.0002658412069461328,0.0017382304947187136,0.004064246089865757,0.0025614076063593203,-0.007960970466496704,0.008061438770301695,-0.004662720045529118,0.0009796846899071926,-0.000032725568425458256],[-0.000039897077389798415,0.0008318570779465408,0.0017457273067436906,0.0004916874531718209,0.0021510120406344107,-0.0016965891782807665,1.7481080106561755e-6,0.00015250188803077926,5.720028468257082e-6],[-0.000026596141261712845,-0.00086530107416287,-0.0010585363280855961,-0.00039607048217674113,0.0004610953832977624,-0.00004061288987827088,-0.00021979109066697994,0.00014819875118582252,-0.000028137576113305382]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.044236217357107026,0.004189122010966733,0.0015436961935125938,0.00025059766574666263],[-0.0002336712721308185,-0.002929235795425372,-0.010798812890898771,-0.0751512090967632,-0.1398806989922608,0.039425195463017024,-0.0015639971525163703,0.0007072286191496704,-0.00013974213886425017],[0.00021779915604959801,0.0013675117493982102,0.004460374717465301,0.0075852301706318855,-0.04224497729988188,0.0190997185156935,-0.0008007656719526007,-0.00017544456909809652,-0.00012236191532298768],[-0.0001678305607020199,0.0009985739751692728,0.004971411948963206,0.006165251770737623,-0.007883201651292847,0.005371748765866061,-0.0016248102870082808,0.0002745181736782671,-0.0001124193809922969],[-0.00014829039475021844,-0.0005587889491298513,0.00013239420142333876,0.0015213861145994367,-0.0010580731176249457,0.0002831917455192956,0.00006350055995732316,-0.000059506278991379555,1.5536708484131058e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.997522437068671, 0.0231602974972466, -0.00839590282029729, -0.0011850168372783895, -0.00035910608216029646 ], [ -0.0003557737974453759, -0.0016575301826026899, -0.007460606196690148, -0.03746284951844175, 0.09953342966388223, -0.008545872707720644, -0.006810997146890731, 0.000575576110141707, -4.913391283239532e-7 ], [ 0.0002658412069461328, 0.0017382304947187136, 0.004064246089865757, 0.0025614076063593203, -0.007960970466496704, 0.008061438770301695, -0.004662720045529118, 0.0009796846899071926, -0.000032725568425458256 ], [ -0.000039897077389798415, 0.0008318570779465408, 0.0017457273067436906, 0.0004916874531718209, 0.0021510120406344107, -0.0016965891782807665, 0.0000017481080106561755, 0.00015250188803077926, 0.000005720028468257082 ], [ -0.000026596141261712845, -0.00086530107416287, -0.0010585363280855961, -0.00039607048217674113, 0.0004610953832977624, -0.00004061288987827088, -0.00021979109066697994, 0.00014819875118582252, -0.000028137576113305382 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.044236217357107026, 0.004189122010966733, 0.0015436961935125938, 0.00025059766574666263 ], [ -0.0002336712721308185, -0.002929235795425372, -0.010798812890898771, -0.0751512090967632, -0.1398806989922608, 0.039425195463017024, -0.0015639971525163703, 0.0007072286191496704, -0.00013974213886425017 ], [ 0.00021779915604959801, 0.0013675117493982102, 0.004460374717465301, 0.0075852301706318855, -0.04224497729988188, 0.0190997185156935, -0.0008007656719526007, -0.00017544456909809652, -0.00012236191532298768 ], [ -0.0001678305607020199, 0.0009985739751692728, 0.004971411948963206, 0.006165251770737623, -0.007883201651292847, 0.005371748765866061, -0.0016248102870082808, 0.0002745181736782671, -0.0001124193809922969 ], [ -0.00014829039475021844, -0.0005587889491298513, 0.00013239420142333876, 0.0015213861145994367, -0.0010580731176249457, 0.0002831917455192956, 0.00006350055995732316, -0.000059506278991379555, 0.0000015536708484131058 ] ]

DjDUXwkyTfeSFeJwcspVey2

{"aspect_ratio": 10.73740097778625, "major_radius": 1.0, "max_elongation": 5.598643834197024, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.10079419322581143, 0.3420990904032606, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.8061456996889, 0.8061457070189872, 0.8061459934919991, 0.8061482116776227, 0.8061571053739355, 0.8061823016204571, 0.8062399872384142, 0.8063543699951401, 0.8065588619424341, 0.8068969441541186, 0.8074226867365312, 0.8082009088448131, 0.8093069720137956, 0.8108262072083813, 0.8128529820860075, 0.8154894203404847, 0.8188437898613582, 0.8230285809362986, 0.8281582999495697, 0.8343470080676824, 0.8417056383190777, 0.8503391283237038, 0.8603434097606187, 0.8718022995245694, 0.8847843414630336, 0.8993396516528819, 0.9154968244246094, 0.9332599608333796, 0.9526058860818729, 0.9734816276069859, 0.9958022312580044, 1.019448999353316, 1.0442682415801934, 1.0700706379260847, 1.0966313224055106, 1.1236908076902918, 1.1509568844415126, 1.1781076460037039, 1.2047958103575647, 1.2306545386404673, 1.2553049859240826, 1.2783658697602118, 1.2994654127500687, 1.318256120195377, 1.3344330172235073, 1.3477562406636245, 1.3580793670367597, 1.3653858262151077, 1.3698379854272233, 1.3718500082080676, 1.3722272407016565], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.689264512896419}

10.737401

1

5.598644

[ [ 0.8061456996889, 0.8061457070189872, 0.8061459934919991, 0.8061482116776227, 0.8061571053739355, 0.8061823016204571, 0.8062399872384142, 0.8063543699951401, 0.8065588619424341, 0.8068969441541186, 0.8074226867365312, 0.8082009088448131, 0.8093069720137956, 0.8108262072083813, 0.8128529820860075, 0.8154894203404847, 0.8188437898613582, 0.8230285809362986, 0.8281582999495697, 0.8343470080676824, 0.8417056383190777, 0.8503391283237038, 0.8603434097606187, 0.8718022995245694, 0.8847843414630336, 0.8993396516528819, 0.9154968244246094, 0.9332599608333796, 0.9526058860818729, 0.9734816276069859, 0.9958022312580044, 1.019448999353316, 1.0442682415801934, 1.0700706379260847, 1.0966313224055106, 1.1236908076902918, 1.1509568844415126, 1.1781076460037039, 1.2047958103575647, 1.2306545386404673, 1.2553049859240826, 1.2783658697602118, 1.2994654127500687, 1.318256120195377, 1.3344330172235073, 1.3477562406636245, 1.3580793670367597, 1.3653858262151077, 1.3698379854272233, 1.3718500082080676, 1.3722272407016565 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.10079419322581143, 0.3420990904032606, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.689265

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DJCsW8tVrbMfxcepEC4iLFb

null

false

null

false

DJHu8xjrstaFGHsUJ5sNK53

D4CdZnUtzfuE3AKjYDqPdhU

{"qi": 0.022437479086987528, "vacuum_well": -0.15205174313828507, "aspect_ratio": 10.204194934910248, "max_elongation": 4.625538629029989, "average_triangularity": -0.5209576376428837, "axis_magnetic_mirror_ratio": 0.10629658335021021, "edge_magnetic_mirror_ratio": 0.17860552022826023, "aspect_ratio_over_edge_rotational_transform": 13.169182812987987, "flux_compression_in_regions_of_bad_curvature": 1.442279220492132, "axis_rotational_transform_over_n_field_periods": 0.21341020580481163, "edge_rotational_transform_over_n_field_periods": 0.25828469085281064, "minimum_normalized_magnetic_gradient_scale_length": 6.386000366060889}

10.204195

13.169183

-0.873018

0.106297

0.21341

0.178606

0.258285

1.442279

4.625539

6.386

0.022437

-0.152052

{"r_cos":[[0.0,0.0,0.0,0.0,0.9989571024410403,-0.039254655323197635,-0.017465346248534186,0.009158685859490862,-0.00035302964225761464],[0.0013564518096232793,-0.002513062108599883,0.006309867954498866,-0.03187793244953843,0.09945760651918141,-0.025568813474388004,0.0045550320149982115,-0.0015929359197068365,0.0005941183913548079],[-0.001516257418754162,-0.0009635794702303119,-0.014932737821383704,-0.005201898032906572,-0.00912057657122424,0.01157580273306855,-0.002795132689429271,-0.0001876059358008194,0.000054537547400216094],[0.0006031026185069632,-0.00042083060578823465,0.0007161868762585739,-0.004320477320502114,0.002404853292885701,-0.0019036196964677594,0.0006447583888341535,-0.000018900536566589064,-0.000011328324195343596],[-0.00020065058196945244,-0.0006174555878281094,0.0008442086091642489,-0.000503299429267289,0.0003078922785280284,0.0002155353404329539,-0.00029146991573775427,0.00015077925229749282,-0.000014735682618534384]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08523003445117575,0.014155782705147741,-0.004733729543490469,0.0006453032736536361],[0.0019759013775442792,-0.003375478402753983,0.0030351083462733103,-0.09957648366699035,-0.1171816263872253,0.04825440749443272,-0.010384751701302833,0.002941467632052695,-0.0006610536048862286],[-0.002059484518904489,-0.001208893193853401,-0.015485396471655522,0.01486424594140905,-0.00581650755659191,-0.00886380231583787,0.0045120528022912386,-0.0007490735051982969,0.000022921400498905056],[0.0013578553108045811,0.002864105243400099,0.005256802644471783,0.00012948878013660384,-0.004183365759007757,0.004987768099829742,-0.0018539768067216246,0.00044317070194132007,0.00004767443821824559],[-0.0007723292512561207,-0.0018019112888965063,0.002168158707436833,0.0020048278613113025,-0.0010849898749074327,-0.0010049472552887875,0.0006608227753964273,-0.0001249707545320813,-0.000020852694073347213]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9989571024410403, -0.039254655323197635, -0.017465346248534186, 0.009158685859490862, -0.00035302964225761464 ], [ 0.0013564518096232793, -0.002513062108599883, 0.006309867954498866, -0.03187793244953843, 0.09945760651918141, -0.025568813474388004, 0.0045550320149982115, -0.0015929359197068365, 0.0005941183913548079 ], [ -0.001516257418754162, -0.0009635794702303119, -0.014932737821383704, -0.005201898032906572, -0.00912057657122424, 0.01157580273306855, -0.002795132689429271, -0.0001876059358008194, 0.000054537547400216094 ], [ 0.0006031026185069632, -0.00042083060578823465, 0.0007161868762585739, -0.004320477320502114, 0.002404853292885701, -0.0019036196964677594, 0.0006447583888341535, -0.000018900536566589064, -0.000011328324195343596 ], [ -0.00020065058196945244, -0.0006174555878281094, 0.0008442086091642489, -0.000503299429267289, 0.0003078922785280284, 0.0002155353404329539, -0.00029146991573775427, 0.00015077925229749282, -0.000014735682618534384 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08523003445117575, 0.014155782705147741, -0.004733729543490469, 0.0006453032736536361 ], [ 0.0019759013775442792, -0.003375478402753983, 0.0030351083462733103, -0.09957648366699035, -0.1171816263872253, 0.04825440749443272, -0.010384751701302833, 0.002941467632052695, -0.0006610536048862286 ], [ -0.002059484518904489, -0.001208893193853401, -0.015485396471655522, 0.01486424594140905, -0.00581650755659191, -0.00886380231583787, 0.0045120528022912386, -0.0007490735051982969, 0.000022921400498905056 ], [ 0.0013578553108045811, 0.002864105243400099, 0.005256802644471783, 0.00012948878013660384, -0.004183365759007757, 0.004987768099829742, -0.0018539768067216246, 0.00044317070194132007, 0.00004767443821824559 ], [ -0.0007723292512561207, -0.0018019112888965063, 0.002168158707436833, 0.0020048278613113025, -0.0010849898749074327, -0.0010049472552887875, 0.0006608227753964273, -0.0001249707545320813, -0.000020852694073347213 ] ]

DgeXXbqMnFnVTR8DbvYDeUY

{"aspect_ratio": 11.022316434603926, "major_radius": 1.0, "max_elongation": 4.346268452673544, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.026441566098346667, -0.4920468755536982, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.8832220513119177, 0.8832220595108142, 0.8832224059782731, 0.8832251914171076, 0.8832365645211748, 0.8832690087193112, 0.8833432555297762, 0.8834896417948707, 0.8837488238286162, 0.8841718216438789, 0.8848194080008198, 0.8857608870279327, 0.8870723291531702, 0.8888343450868192, 0.8911294929047198, 0.8940394197540936, 0.8976418439560324, 0.9020074847594655, 0.9071970460551116, 0.9132583572544913, 0.920223769495773, 0.9281078985336245, 0.9369057972540804, 0.9465916308554496, 0.957117916463371, 0.9684153763999989, 0.9803934405915686, 0.9929414187549522, 1.0059303471260743, 1.0192154976507286, 1.0326395198181804, 1.0460361667453806, 1.0592345377803163, 1.0720637498544314, 1.0843579291474972, 1.0959613934113754, 1.106733873618917, 1.1165556015619011, 1.1253320677389869, 1.1329982315025626, 1.1395219431681987, 1.1449063158961543, 1.149190764002352, 1.1524504044934696, 1.1547935008976316, 1.1563566142849737, 1.1572971182505207, 1.1577827374971077, 1.1579777945579304, 1.1580259262358967, 1.1580292782021957], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6071393658441244}

11.022316

1

4.346268

[ [ 0.8832220513119177, 0.8832220595108142, 0.8832224059782731, 0.8832251914171076, 0.8832365645211748, 0.8832690087193112, 0.8833432555297762, 0.8834896417948707, 0.8837488238286162, 0.8841718216438789, 0.8848194080008198, 0.8857608870279327, 0.8870723291531702, 0.8888343450868192, 0.8911294929047198, 0.8940394197540936, 0.8976418439560324, 0.9020074847594655, 0.9071970460551116, 0.9132583572544913, 0.920223769495773, 0.9281078985336245, 0.9369057972540804, 0.9465916308554496, 0.957117916463371, 0.9684153763999989, 0.9803934405915686, 0.9929414187549522, 1.0059303471260743, 1.0192154976507286, 1.0326395198181804, 1.0460361667453806, 1.0592345377803163, 1.0720637498544314, 1.0843579291474972, 1.0959613934113754, 1.106733873618917, 1.1165556015619011, 1.1253320677389869, 1.1329982315025626, 1.1395219431681987, 1.1449063158961543, 1.149190764002352, 1.1524504044934696, 1.1547935008976316, 1.1563566142849737, 1.1572971182505207, 1.1577827374971077, 1.1579777945579304, 1.1580259262358967, 1.1580292782021957 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.026441566098346667, -0.4920468755536982, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.607139

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DaRiSBbBVtrT3TvqQuUrvat

null

false

null

false

DhC6mYdPymjnRpSzgLGV2yF

DjEsWh3S696EhVvN42D7qQj

{"qi": 0.020192585763244855, "vacuum_well": -0.23795897728086418, "aspect_ratio": 9.777680209616882, "max_elongation": 4.306267321682748, "average_triangularity": -0.43127836475876247, "axis_magnetic_mirror_ratio": 0.267824292708591, "edge_magnetic_mirror_ratio": 0.4212611619047901, "aspect_ratio_over_edge_rotational_transform": 9.135447744255197, "flux_compression_in_regions_of_bad_curvature": 0.9530694430838677, "axis_rotational_transform_over_n_field_periods": 0.28602246410844145, "edge_rotational_transform_over_n_field_periods": 0.21406022963166862, "minimum_normalized_magnetic_gradient_scale_length": 5.93802822310332}

9.77768

9.135448

-0.641062

0.267824

0.286022

0.421261

0.21406

0.953069

4.306267

5.938028

0.020193

-0.237959

{"r_cos":[[0.0,0.0,0.0,0.0,0.9844548302707248,-0.0013324025075798717,0.0024044610105087233,-0.00006111816880806017,-0.00020927613994571864],[-0.00003266843050965095,-0.006064169390295115,0.05027227243227543,-0.057895433797680536,0.09795237524465852,0.020148880622859126,-0.004240947797238232,-0.001620374987369633,0.0002484684606436924],[-0.001791809558709296,0.00943276807714924,-0.02923860061218367,-0.01090875912607059,0.013707789658075434,0.003440936024330325,-0.0031592264208372394,-0.000049096234479374494,0.00047603528257001424],[0.0004683968354149364,-0.002472643369832008,0.003598650353514917,0.0031126703657008746,0.0070421810150312165,0.002662192991110788,-0.0015621793053531867,-0.0004169002368307796,0.00032066141757429564],[0.0007744511175052774,-0.00008917342687003846,-0.0019358742137103283,-0.0011088840389924168,0.0018078841914072018,0.0010730777375424865,-0.0002298390182688771,-0.00002368423620137513,0.000055670060782388956]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03761203030929598,0.0011706615907068852,-0.0009715956277107623,0.00016940322616959024],[-0.0001674200744639252,-0.007270047924825227,0.036577284378638164,0.006356240982643105,-0.1272761571064475,-0.003118907844472078,0.008776148990315343,0.0010235070565610162,-0.0003911642239176772],[0.000012994128287481527,0.0049753716763029756,-0.012961741408267086,-0.008082886937279068,-0.016178369826741125,0.0003685400781743382,0.004594618408394393,-0.0005630084140305584,-0.0003850373854073847],[-0.001552356740978365,0.002267009204361701,0.0030237300540144904,0.0009281055847688888,-0.006119412882965497,-0.0019536447373541257,0.0018866878177065081,0.00018682358465273727,-0.0003072350798519753],[0.0005707422237826768,-0.0002886814415352059,-0.0005502933974714389,0.0004866342122326874,-0.0003351821099003985,-0.0007858168105224741,0.0000785587378173353,0.00005063454382570039,-0.00005066299411551336]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9844548302707248, -0.0013324025075798717, 0.0024044610105087233, -0.00006111816880806017, -0.00020927613994571864 ], [ -0.00003266843050965095, -0.006064169390295115, 0.05027227243227543, -0.057895433797680536, 0.09795237524465852, 0.020148880622859126, -0.004240947797238232, -0.001620374987369633, 0.0002484684606436924 ], [ -0.001791809558709296, 0.00943276807714924, -0.02923860061218367, -0.01090875912607059, 0.013707789658075434, 0.003440936024330325, -0.0031592264208372394, -0.000049096234479374494, 0.00047603528257001424 ], [ 0.0004683968354149364, -0.002472643369832008, 0.003598650353514917, 0.0031126703657008746, 0.0070421810150312165, 0.002662192991110788, -0.0015621793053531867, -0.0004169002368307796, 0.00032066141757429564 ], [ 0.0007744511175052774, -0.00008917342687003846, -0.0019358742137103283, -0.0011088840389924168, 0.0018078841914072018, 0.0010730777375424865, -0.0002298390182688771, -0.00002368423620137513, 0.000055670060782388956 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03761203030929598, 0.0011706615907068852, -0.0009715956277107623, 0.00016940322616959024 ], [ -0.0001674200744639252, -0.007270047924825227, 0.036577284378638164, 0.006356240982643105, -0.1272761571064475, -0.003118907844472078, 0.008776148990315343, 0.0010235070565610162, -0.0003911642239176772 ], [ 0.000012994128287481527, 0.0049753716763029756, -0.012961741408267086, -0.008082886937279068, -0.016178369826741125, 0.0003685400781743382, 0.004594618408394393, -0.0005630084140305584, -0.0003850373854073847 ], [ -0.001552356740978365, 0.002267009204361701, 0.0030237300540144904, 0.0009281055847688888, -0.006119412882965497, -0.0019536447373541257, 0.0018866878177065081, 0.00018682358465273727, -0.0003072350798519753 ], [ 0.0005707422237826768, -0.0002886814415352059, -0.0005502933974714389, 0.0004866342122326874, -0.0003351821099003985, -0.0007858168105224741, 0.0000785587378173353, 0.00005063454382570039, -0.00005066299411551336 ] ]

DHLHXEdWY7Lxf9UYYzxC6kC

{"aspect_ratio": 9.363453957025898, "major_radius": 1.0, "max_elongation": 5.8078439276384985, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.14176192257879633, -0.7749551207227857, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7148263317821052, 0.7148269008350018, 0.7148400082911768, 0.7149117262945506, 0.7151332002655371, 0.7156406420160261, 0.716609336354025, 0.7182441635996973, 0.7207682472677577, 0.7244108667345326, 0.7293954725865129, 0.7359284258911839, 0.7441889171665766, 0.7543203890070589, 0.7664236784532753, 0.7805520053947246, 0.7967078577694233, 0.8148417605024724, 0.8348528611865772, 0.85659122012615, 0.8798616545474882, 0.9044289557570426, 0.9300242732107955, 0.9563524403660254, 0.9831000034410222, 1.0099437054994942, 1.036559174352337, 1.0626295634242229, 1.0878538997985612, 1.1119549029968088, 1.1346860515605657, 1.155837692106845, 1.1752420071622256, 1.1927766837177503, 1.2083671540752987, 1.221987314195423, 1.2336586624531207, 1.2434478435425438, 1.2514626283666672, 1.2578464112789791, 1.262771361257045, 1.2664304238250046, 1.2690284362851223, 1.2707726907569787, 1.2718633586730042, 1.2724842783007566, 1.2727947060835696, 1.2729227475218279, 1.2729613224796135, 1.2729677023795438, 1.272967939059952], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.2238380569826932}

9.363454

1

5.807844

[ [ 0.7148263317821052, 0.7148269008350018, 0.7148400082911768, 0.7149117262945506, 0.7151332002655371, 0.7156406420160261, 0.716609336354025, 0.7182441635996973, 0.7207682472677577, 0.7244108667345326, 0.7293954725865129, 0.7359284258911839, 0.7441889171665766, 0.7543203890070589, 0.7664236784532753, 0.7805520053947246, 0.7967078577694233, 0.8148417605024724, 0.8348528611865772, 0.85659122012615, 0.8798616545474882, 0.9044289557570426, 0.9300242732107955, 0.9563524403660254, 0.9831000034410222, 1.0099437054994942, 1.036559174352337, 1.0626295634242229, 1.0878538997985612, 1.1119549029968088, 1.1346860515605657, 1.155837692106845, 1.1752420071622256, 1.1927766837177503, 1.2083671540752987, 1.221987314195423, 1.2336586624531207, 1.2434478435425438, 1.2514626283666672, 1.2578464112789791, 1.262771361257045, 1.2664304238250046, 1.2690284362851223, 1.2707726907569787, 1.2718633586730042, 1.2724842783007566, 1.2727947060835696, 1.2729227475218279, 1.2729613224796135, 1.2729677023795438, 1.272967939059952 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.14176192257879633, -0.7749551207227857, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.223838

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DFnvs7s9ZviJYhjPmSKvYkB

null

false

null

false

DEGQq9SJKjawVTMuLpww7EK

DWzy7pc68qEzZ9qXJWcbrTk

{"qi": 0.011453116854234531, "vacuum_well": -0.058775772738367864, "aspect_ratio": 9.381111672518832, "max_elongation": 4.899360838969223, "average_triangularity": 0.32583788381366363, "axis_magnetic_mirror_ratio": 0.12288088078101062, "edge_magnetic_mirror_ratio": 0.17638028443861686, "aspect_ratio_over_edge_rotational_transform": 19.005782768812377, "flux_compression_in_regions_of_bad_curvature": 1.0869043220992833, "axis_rotational_transform_over_n_field_periods": 0.24165231121080522, "edge_rotational_transform_over_n_field_periods": 0.24679624582242432, "minimum_normalized_magnetic_gradient_scale_length": 0.07251379693989232}

9.381112

19.005783

0.008659

0.122881

0.241652

0.17638

0.246796

1.086904

4.899361

0.072514

0.011453

-0.058776

{"r_cos":[[0.0,0.0,0.0,0.0,0.9899038457580734,-0.18980578464645845,-0.04108990635191589,0.026870541894061222,0.0006764297481236365],[-0.004324469255288708,0.0018957475786888652,0.026474557113113723,-0.007690712825382704,0.10768298541356558,-0.034673882179811044,0.0161242676062133,-0.0012064146154912203,0.0004613843004474371],[-0.000028060893452124973,-0.002993291961571973,-0.01198462443619661,0.004417282677127322,-0.031618030659364464,0.0052398537314824805,-0.005259698893773958,-0.00005787435782011021,0.00025490034517286345],[0.0012646273136135034,0.001749437226700414,0.004179532559390728,-0.0005025412819313165,0.0008977384913255232,0.001349234190630922,-0.0004172354066126064,0.0001606624169859732,0.00017635381198915752],[-0.0003508203711993632,-0.00023995923832886983,-0.00028611044934458553,0.0007240101725478785,0.0004428774697007041,0.0005398313327107966,-0.0007759017264841274,0.0001296800616658065,-0.0001638319645928002]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.18955940377415673,0.05669586138214827,-0.01199163935029242,0.0010627407217917786],[-0.004545739267124349,0.010157359924165492,0.04160730195126183,-0.07320961311604299,-0.07848062799786865,0.06373748328550743,-0.01702647847739505,0.0029443784673014242,-0.0006989826675407747],[0.00043388461352742997,-0.00352631997269243,-0.004964772552961466,0.024361161573099466,0.02566531738123633,-0.014589936443790839,0.006393121846882623,-0.00014714544649681955,-0.00039003070479371013],[0.0007436766074614213,-0.000047268014473553156,-0.0029596365347695185,-0.005448882584319574,-0.004127605584953018,-0.0034841084485551232,0.0018092520656854578,-0.00013977106161756133,0.0001637035739708231],[-0.00006622764785472655,0.000304358741548335,0.00042659460422679444,0.00032919815334634067,0.0003657120218491112,0.000298587820110823,0.0001942671611803047,-0.0005308647220883222,0.000172066063628677]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9899038457580734, -0.18980578464645845, -0.04108990635191589, 0.026870541894061222, 0.0006764297481236365 ], [ -0.004324469255288708, 0.0018957475786888652, 0.026474557113113723, -0.007690712825382704, 0.10768298541356558, -0.034673882179811044, 0.0161242676062133, -0.0012064146154912203, 0.0004613843004474371 ], [ -0.000028060893452124973, -0.002993291961571973, -0.01198462443619661, 0.004417282677127322, -0.031618030659364464, 0.0052398537314824805, -0.005259698893773958, -0.00005787435782011021, 0.00025490034517286345 ], [ 0.0012646273136135034, 0.001749437226700414, 0.004179532559390728, -0.0005025412819313165, 0.0008977384913255232, 0.001349234190630922, -0.0004172354066126064, 0.0001606624169859732, 0.00017635381198915752 ], [ -0.0003508203711993632, -0.00023995923832886983, -0.00028611044934458553, 0.0007240101725478785, 0.0004428774697007041, 0.0005398313327107966, -0.0007759017264841274, 0.0001296800616658065, -0.0001638319645928002 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.18955940377415673, 0.05669586138214827, -0.01199163935029242, 0.0010627407217917786 ], [ -0.004545739267124349, 0.010157359924165492, 0.04160730195126183, -0.07320961311604299, -0.07848062799786865, 0.06373748328550743, -0.01702647847739505, 0.0029443784673014242, -0.0006989826675407747 ], [ 0.00043388461352742997, -0.00352631997269243, -0.004964772552961466, 0.024361161573099466, 0.02566531738123633, -0.014589936443790839, 0.006393121846882623, -0.00014714544649681955, -0.00039003070479371013 ], [ 0.0007436766074614213, -0.000047268014473553156, -0.0029596365347695185, -0.005448882584319574, -0.004127605584953018, -0.0034841084485551232, 0.0018092520656854578, -0.00013977106161756133, 0.0001637035739708231 ], [ -0.00006622764785472655, 0.000304358741548335, 0.00042659460422679444, 0.00032919815334634067, 0.0003657120218491112, 0.000298587820110823, 0.0001942671611803047, -0.0005308647220883222, 0.000172066063628677 ] ]

DcrJQPSnKxb3RuT984iDc59

{"aspect_ratio": 8.97771683147755, "major_radius": 1.0, "max_elongation": 4.281279898839348, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.10827964402416279, 0.15993554389942924, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.8620006743308728, 0.8620013564571294, 0.8620149067199308, 0.8620822173578205, 0.8622757150342598, 0.8626942548183172, 0.8634551641531003, 0.8646853431717859, 0.8665124536392776, 0.8690568134709298, 0.8724243694737156, 0.8767009607586626, 0.8819479734503346, 0.8881994063876232, 0.8954603078485133, 0.9037064991630759, 0.9128854686924466, 0.9229182965287406, 0.9337024546235678, 0.9451153175613087, 0.9570182148503692, 0.9692608556194635, 0.9816859603373798, 0.9941339410950449, 1.0064474816509497, 1.0184758804590284, 1.0300790339317978, 1.041130952935558, 1.0515227226894204, 1.0611648345857088, 1.0699888377191495, 1.0779482778680456, 1.0850189120781433, 1.0911982076247073, 1.0965041547312198, 1.100973442755409, 1.1046590693511367, 1.1076274710922516, 1.1099552818855674, 1.1117258418462252, 1.1130255937435998, 1.1139405161526048, 1.1145527514523856, 1.114937592023547, 1.1151609883756979, 1.1152777370597795, 1.1153304919866214, 1.115349716878377, 1.115354653295502, 1.1153553066486872, 1.1153553236352087], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5389402489676747}

8.977717

1

4.28128

[ [ 0.8620006743308728, 0.8620013564571294, 0.8620149067199308, 0.8620822173578205, 0.8622757150342598, 0.8626942548183172, 0.8634551641531003, 0.8646853431717859, 0.8665124536392776, 0.8690568134709298, 0.8724243694737156, 0.8767009607586626, 0.8819479734503346, 0.8881994063876232, 0.8954603078485133, 0.9037064991630759, 0.9128854686924466, 0.9229182965287406, 0.9337024546235678, 0.9451153175613087, 0.9570182148503692, 0.9692608556194635, 0.9816859603373798, 0.9941339410950449, 1.0064474816509497, 1.0184758804590284, 1.0300790339317978, 1.041130952935558, 1.0515227226894204, 1.0611648345857088, 1.0699888377191495, 1.0779482778680456, 1.0850189120781433, 1.0911982076247073, 1.0965041547312198, 1.100973442755409, 1.1046590693511367, 1.1076274710922516, 1.1099552818855674, 1.1117258418462252, 1.1130255937435998, 1.1139405161526048, 1.1145527514523856, 1.114937592023547, 1.1151609883756979, 1.1152777370597795, 1.1153304919866214, 1.115349716878377, 1.115354653295502, 1.1153553066486872, 1.1153553236352087 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.10827964402416279, 0.15993554389942924, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.53894

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DaXJ7HyhCPkMwnvTEca7aqe

null

false

null

false

D82aCYQJpFCQa2gevrmRuqX

DEvXqmLoyMHZPTzcKuGMRgR

{"qi": 0.05502724310501267, "vacuum_well": -0.116795368597892, "aspect_ratio": 10.163187857966186, "max_elongation": 4.801820388778241, "average_triangularity": -0.4533114938785417, "axis_magnetic_mirror_ratio": 0.09313121945051236, "edge_magnetic_mirror_ratio": 0.1990459300967759, "aspect_ratio_over_edge_rotational_transform": 11.383462034385436, "flux_compression_in_regions_of_bad_curvature": 1.0882634025297033, "axis_rotational_transform_over_n_field_periods": 0.2604039038030687, "edge_rotational_transform_over_n_field_periods": 0.2976009649573732, "minimum_normalized_magnetic_gradient_scale_length": 2.4920955348180085}

10.163188

11.383462

-0.488169

0.093131

0.260404

0.199046

0.297601

1.088263

4.80182

2.492096

0.055027

-0.116795

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991800414050089,-0.07905427036093592,-0.03735054684031568,0.011180295907250351,0.001403777119057723],[-0.0037623886266526215,0.009832919492604383,0.028802069261056135,-0.022207522774078864,0.10742925316570077,-0.03426538098390291,0.0064773475950663795,-0.00006494728167503582,0.0007742591000816097],[0.0005114736143164196,-0.008999465728954836,-0.005015304664482774,-0.015115269340183254,0.010895759495912153,0.001317890190408782,0.00016248839228591569,-0.00030533075527331473,-0.00007364522613927344],[-0.00009703715874267521,0.001877065982066703,-0.0034693882249622865,-0.0014843863314496675,-0.0019189180389524148,-0.0011723863070444455,0.0006159351859745883,0.00008688623647666073,0.00017283694122324826],[0.00030066432093774894,-0.0007646148133988022,0.0002709739856862863,-0.0006083159346832656,0.0006350212526028921,0.0003952355825459315,-0.000026545869899844646,0.0001697640076749092,-0.00011795666584699609]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.10857594395850811,0.035591658849973416,-0.004756432897073103,0.0005287501835538715],[-0.0043007090752788316,0.009162794374500589,0.029565672032013816,-0.08116955297449209,-0.09960186432448905,0.05124402902419571,-0.0038918150391522976,0.0020744474552734774,-0.0013426445424159048],[0.0002901015507065331,-0.01224080236449271,-0.0035401277655394067,0.009223754186657267,-0.00894487703292085,-0.002232240166921297,-0.0005834300680982727,0.00046440725291393634,0.000010425721955303885],[-0.0003838469938204078,0.00279458822894625,-0.005105200833020275,-0.0035280136968344135,0.0031283705532397853,0.0028921389499535492,-0.00030759986841784846,0.00018531458619526443,-0.00021456108966788037],[0.0002488480457932234,-0.0008620548440320059,-0.0001576174327190652,0.001541142481509286,-0.0006955830094267459,0.00042586659570566904,-0.0003364828311062895,-0.00020020046387721045,0.0001447572388016156]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9991800414050089, -0.07905427036093592, -0.03735054684031568, 0.011180295907250351, 0.001403777119057723 ], [ -0.0037623886266526215, 0.009832919492604383, 0.028802069261056135, -0.022207522774078864, 0.10742925316570077, -0.03426538098390291, 0.0064773475950663795, -0.00006494728167503582, 0.0007742591000816097 ], [ 0.0005114736143164196, -0.008999465728954836, -0.005015304664482774, -0.015115269340183254, 0.010895759495912153, 0.001317890190408782, 0.00016248839228591569, -0.00030533075527331473, -0.00007364522613927344 ], [ -0.00009703715874267521, 0.001877065982066703, -0.0034693882249622865, -0.0014843863314496675, -0.0019189180389524148, -0.0011723863070444455, 0.0006159351859745883, 0.00008688623647666073, 0.00017283694122324826 ], [ 0.00030066432093774894, -0.0007646148133988022, 0.0002709739856862863, -0.0006083159346832656, 0.0006350212526028921, 0.0003952355825459315, -0.000026545869899844646, 0.0001697640076749092, -0.00011795666584699609 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.10857594395850811, 0.035591658849973416, -0.004756432897073103, 0.0005287501835538715 ], [ -0.0043007090752788316, 0.009162794374500589, 0.029565672032013816, -0.08116955297449209, -0.09960186432448905, 0.05124402902419571, -0.0038918150391522976, 0.0020744474552734774, -0.0013426445424159048 ], [ 0.0002901015507065331, -0.01224080236449271, -0.0035401277655394067, 0.009223754186657267, -0.00894487703292085, -0.002232240166921297, -0.0005834300680982727, 0.00046440725291393634, 0.000010425721955303885 ], [ -0.0003838469938204078, 0.00279458822894625, -0.005105200833020275, -0.0035280136968344135, 0.0031283705532397853, 0.0028921389499535492, -0.00030759986841784846, 0.00018531458619526443, -0.00021456108966788037 ], [ 0.0002488480457932234, -0.0008620548440320059, -0.0001576174327190652, 0.001541142481509286, -0.0006955830094267459, 0.00042586659570566904, -0.0003364828311062895, -0.00020020046387721045, 0.0001447572388016156 ] ]

DPmRGLbH9J6FKjxsB2Zcx4h

{"aspect_ratio": 10.15430004305864, "major_radius": 1.0, "max_elongation": 4.266373417758655, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.10377784786982033, -0.7403425118043196, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.875757442572148, 0.8757575089922366, 0.875759541588308, 0.8757728221590078, 0.8758193435023084, 0.8759367768468507, 0.8761792595912908, 0.8766163794736744, 0.8773307434008898, 0.8784145032121957, 0.8799651831589855, 0.8820811209308805, 0.8848567985168772, 0.8883783026343592, 0.8927191178465858, 0.8979364194513767, 0.9040679982017567, 0.9111299152388822, 0.9191149535294403, 0.9279919018044874, 0.9377056786604161, 0.9481782782469744, 0.9593104949561573, 0.9709843628509415, 0.9830662263369753, 0.9954103418800602, 1.007862896500325, 1.0202663174210844, 1.0324637387069266, 1.0443034850831225, 1.0556434304814966, 1.066355089305262, 1.07632730205232, 1.0854693838969667, 1.0937136152289701, 1.1010169671263843, 1.1073619724532198, 1.1127566749092457, 1.1172336141341148, 1.1208478351438944, 1.1236739452788713, 1.125802281878113, 1.127334299606085, 1.1283773384674611, 1.1290389930857823, 1.1294213723153197, 1.129615618113097, 1.1296971479420757, 1.1297222036602719, 1.1297264493770016, 1.1297266122485219], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7287478169207182}

10.1543

1

4.266373

[ [ 0.875757442572148, 0.8757575089922366, 0.875759541588308, 0.8757728221590078, 0.8758193435023084, 0.8759367768468507, 0.8761792595912908, 0.8766163794736744, 0.8773307434008898, 0.8784145032121957, 0.8799651831589855, 0.8820811209308805, 0.8848567985168772, 0.8883783026343592, 0.8927191178465858, 0.8979364194513767, 0.9040679982017567, 0.9111299152388822, 0.9191149535294403, 0.9279919018044874, 0.9377056786604161, 0.9481782782469744, 0.9593104949561573, 0.9709843628509415, 0.9830662263369753, 0.9954103418800602, 1.007862896500325, 1.0202663174210844, 1.0324637387069266, 1.0443034850831225, 1.0556434304814966, 1.066355089305262, 1.07632730205232, 1.0854693838969667, 1.0937136152289701, 1.1010169671263843, 1.1073619724532198, 1.1127566749092457, 1.1172336141341148, 1.1208478351438944, 1.1236739452788713, 1.125802281878113, 1.127334299606085, 1.1283773384674611, 1.1290389930857823, 1.1294213723153197, 1.129615618113097, 1.1296971479420757, 1.1297222036602719, 1.1297264493770016, 1.1297266122485219 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.10377784786982033, -0.7403425118043196, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.728748

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DGroxzoxqtZTcgRyeG66WAP

null

false

null

false

DNw8uNqCF7ZBrughLahsWzr

D5w2mAeX5ZVi6zYqZbH8XiD

{"qi": 0.021369181908116635, "vacuum_well": 0.017333786775547762, "aspect_ratio": 7.35657959478719, "max_elongation": 5.342925440882207, "average_triangularity": -0.09254562875664651, "axis_magnetic_mirror_ratio": 0.6156304095661578, "edge_magnetic_mirror_ratio": 0.8504028168959764, "aspect_ratio_over_edge_rotational_transform": 19.04963830684836, "flux_compression_in_regions_of_bad_curvature": 1.4297520195420992, "axis_rotational_transform_over_n_field_periods": 0.14902300395100837, "edge_rotational_transform_over_n_field_periods": 0.07723589788203478, "minimum_normalized_magnetic_gradient_scale_length": 3.367888028188806}

7.35658

19.049638

-0.135561

0.61563

0.149023

0.850403

0.077236

1.429752

5.342925

3.367888

0.021369

0.017334

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.13821965194396804,-0.043806148027992604,-0.006165472359929983,0.0018548032147546849],[-0.0013005735890751846,0.004339651105325009,0.03816144534526443,0.04606701625063483,0.11484939019501207,-0.056514793403811374,0.015791138529977117,0.0014023433472807332,-0.0007781394511826244],[0.0003342279357867518,-0.0036341520484606616,-0.010566771456670917,-0.0031230375366481013,-0.0012521493009814073,-0.0072688157097643424,0.000553713439692351,-0.0012413007994904457,-0.00021280059646016215],[-0.000323909775729858,0.0005214808367725823,0.0009167969906448182,0.0008064824157322803,-0.0004616563880565759,-0.00018570658863980492,-0.00035468196122736526,0.0005176866576575193,-0.000012277079679423559],[0.0001755267872545599,0.00001870911470205623,-0.00037842647376312407,0.0002871617309000594,-0.0005052381177646868,0.000036099077881375334,0.00006788417376181246,-0.00009006343571235924,0.000011262530308494439]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.12035453097053468,0.035959786428856104,0.0067756314232608065,0.0016975713558382462],[0.003884352063800223,0.018106436747335284,0.04821651305462822,0.015010762773100638,-0.15985314296213862,0.021976892593438338,-0.01153617710432234,0.0002890441848677726,-0.0015015567646320328],[-0.0025712045824823624,-0.00896084981114267,-0.013380425543525521,0.002733283557786015,0.007734595164205258,-0.01361489449856856,0.01134622232695262,-0.00267946694452323,0.0014946108175070505],[0.0008823152882000847,0.0010038753344346696,-0.0005989567267484265,-0.003101064128771696,-0.0011716542061115292,0.002332433866324286,-0.002447899725992818,0.0011000139627212442,-0.0005058013401069603],[-0.00020521587609571737,-0.0002250706566974568,0.00018142284748718984,0.00026799578212719925,-0.000057059209296899395,0.0003621998464266995,-0.0002967734056156848,-5.1198168677172836e-6,0.000055908457556328025]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.13821965194396804, -0.043806148027992604, -0.006165472359929983, 0.0018548032147546849 ], [ -0.0013005735890751846, 0.004339651105325009, 0.03816144534526443, 0.04606701625063483, 0.11484939019501207, -0.056514793403811374, 0.015791138529977117, 0.0014023433472807332, -0.0007781394511826244 ], [ 0.0003342279357867518, -0.0036341520484606616, -0.010566771456670917, -0.0031230375366481013, -0.0012521493009814073, -0.0072688157097643424, 0.000553713439692351, -0.0012413007994904457, -0.00021280059646016215 ], [ -0.000323909775729858, 0.0005214808367725823, 0.0009167969906448182, 0.0008064824157322803, -0.0004616563880565759, -0.00018570658863980492, -0.00035468196122736526, 0.0005176866576575193, -0.000012277079679423559 ], [ 0.0001755267872545599, 0.00001870911470205623, -0.00037842647376312407, 0.0002871617309000594, -0.0005052381177646868, 0.000036099077881375334, 0.00006788417376181246, -0.00009006343571235924, 0.000011262530308494439 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.12035453097053468, 0.035959786428856104, 0.0067756314232608065, 0.0016975713558382462 ], [ 0.003884352063800223, 0.018106436747335284, 0.04821651305462822, 0.015010762773100638, -0.15985314296213862, 0.021976892593438338, -0.01153617710432234, 0.0002890441848677726, -0.0015015567646320328 ], [ -0.0025712045824823624, -0.00896084981114267, -0.013380425543525521, 0.002733283557786015, 0.007734595164205258, -0.01361489449856856, 0.01134622232695262, -0.00267946694452323, 0.0014946108175070505 ], [ 0.0008823152882000847, 0.0010038753344346696, -0.0005989567267484265, -0.003101064128771696, -0.0011716542061115292, 0.002332433866324286, -0.002447899725992818, 0.0011000139627212442, -0.0005058013401069603 ], [ -0.00020521587609571737, -0.0002250706566974568, 0.00018142284748718984, 0.00026799578212719925, -0.000057059209296899395, 0.0003621998464266995, -0.0002967734056156848, -0.0000051198168677172836, 0.000055908457556328025 ] ]

DZ5LcATwHVC4Vjv4bcqqTXp

{"aspect_ratio": 6.520285380043147, "major_radius": 1.0, "max_elongation": 5.944112602601537, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.11921506544832093, -0.08226713266731574, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7195224947097488, 0.7195391487520816, 0.7196775005173198, 0.7200870013411943, 0.7209221821919917, 0.7223332000879921, 0.7244609971156425, 0.7274343269599979, 0.7313678041934567, 0.7363606022542818, 0.7424956025224723, 0.7498388778743704, 0.7584394363553179, 0.7683291747681817, 0.7795230067695023, 0.7920191396281093, 0.8057994802614062, 0.8208301556931322, 0.837062136353766, 0.8544319530845991, 0.8728625005706042, 0.892263921386836, 0.9125345660139119, 0.9335620251406859, 0.9552242313842988, 0.9773906282622564, 0.999923404881081, 1.0226787953881673, 1.0455084427906767, 1.0682608272987215, 1.0907827599207758, 1.1129209426497524, 1.134523597254734, 1.155442165468083, 1.1755330842722131, 1.1946596411006754, 1.2126939151523095, 1.2295188127868437, 1.2450302072906374, 1.2591391964235337, 1.2717744954771, 1.2828849897345544, 1.2924424793166494, 1.3004446633744666, 1.3069184331314825, 1.3119235818548227, 1.3155571110463327, 1.3179584575329173, 1.319316308707077, 1.319878687055998, 1.3199729058972394], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7125474250511656}

6.520285

1

5.944113

[ [ 0.7195224947097488, 0.7195391487520816, 0.7196775005173198, 0.7200870013411943, 0.7209221821919917, 0.7223332000879921, 0.7244609971156425, 0.7274343269599979, 0.7313678041934567, 0.7363606022542818, 0.7424956025224723, 0.7498388778743704, 0.7584394363553179, 0.7683291747681817, 0.7795230067695023, 0.7920191396281093, 0.8057994802614062, 0.8208301556931322, 0.837062136353766, 0.8544319530845991, 0.8728625005706042, 0.892263921386836, 0.9125345660139119, 0.9335620251406859, 0.9552242313842988, 0.9773906282622564, 0.999923404881081, 1.0226787953881673, 1.0455084427906767, 1.0682608272987215, 1.0907827599207758, 1.1129209426497524, 1.134523597254734, 1.155442165468083, 1.1755330842722131, 1.1946596411006754, 1.2126939151523095, 1.2295188127868437, 1.2450302072906374, 1.2591391964235337, 1.2717744954771, 1.2828849897345544, 1.2924424793166494, 1.3004446633744666, 1.3069184331314825, 1.3119235818548227, 1.3155571110463327, 1.3179584575329173, 1.319316308707077, 1.319878687055998, 1.3199729058972394 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.11921506544832093, -0.08226713266731574, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.712547

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DdxLySE6WUVt9Cui8hjW3nb

null

false

null

false

DXZwSrW5vz36FYCNw287Had

DYa7WiZtq2ZDdGmac3Vsdd4

{"qi": 0.0018186173500737315, "vacuum_well": -0.09775049195459047, "aspect_ratio": 9.406824496710064, "max_elongation": 5.815092344029581, "average_triangularity": -0.4327718708533277, "axis_magnetic_mirror_ratio": 0.2455767834176669, "edge_magnetic_mirror_ratio": 0.27196392455663143, "aspect_ratio_over_edge_rotational_transform": 12.836446257018565, "flux_compression_in_regions_of_bad_curvature": 1.5356750517287214, "axis_rotational_transform_over_n_field_periods": 0.25377767457918976, "edge_rotational_transform_over_n_field_periods": 0.24427385140615296, "minimum_normalized_magnetic_gradient_scale_length": 6.4005185691923785}

9.406824

12.836446

-0.655454

0.245577

0.253778

0.271964

0.244274

1.535675

5.815092

6.400519

0.001819

-0.09775

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991368951541998,0.00015068870193498486,-0.02763125917313266,-0.0004632027256859031,0.000023701530698940626],[-0.0010899573916380882,0.0015383842584279733,0.0032123213764436746,-0.0692071422574812,0.11987624410817897,-0.008247418624184419,-0.006937603892332952,0.0009131300144766314,0.00047667933282830976],[0.0003839672328716095,0.000593463848430119,-0.010185733897994018,-0.0032347177685974216,-0.022335871566386546,0.013804166223311954,-0.0032844505481359506,-0.0001923867719142461,0.0002845677085452379],[0.0004342995229070451,0.0004294273824992047,0.0016908536241065347,-0.002374467165247652,-0.0009360506857426418,0.0007952142600923998,0.000673243431904497,-0.0003323361967860787,0.000024924082455429888],[0.00006699739877090492,0.00005800107856557431,-0.00041144102502371825,0.00041926118842413977,4.018150073257371e-6,0.00018641636723622929,0.00010164378465553478,-0.00010311368290879662,-4.1270991410542355e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.17526252647785892,0.012206911120811684,0.005353889283060066,0.00008517679524041971],[0.00016775306520918753,-0.0019022128378524622,-0.0027710437582530332,-0.08806913829883713,-0.14259608164501056,0.02861193045792167,0.0007989235572858921,0.0005139002920764983,-0.0003103131148253676],[0.00033949299462075354,0.0022985001010080433,-0.0011561484172313953,0.003112870008195896,-0.005835502885212229,0.0003520134476807475,0.0035777611174590187,-0.0004886097288382792,-0.0001363375455275372],[0.00004868412386373139,0.0005021855396616714,0.00065541921770202,0.0013305576565648754,0.0016444381643952201,-0.0007993932149025674,0.0009221255137528482,-0.0002459755703881852,0.00003648273124749545],[0.00004614290435069122,-0.0001230485235215904,-6.774288830354219e-6,-0.00040602655308359604,0.00043164549062583394,-0.00039944179848934913,0.00008446328587824922,0.000029308039254390006,2.9307294988764036e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9991368951541998, 0.00015068870193498486, -0.02763125917313266, -0.0004632027256859031, 0.000023701530698940626 ], [ -0.0010899573916380882, 0.0015383842584279733, 0.0032123213764436746, -0.0692071422574812, 0.11987624410817897, -0.008247418624184419, -0.006937603892332952, 0.0009131300144766314, 0.00047667933282830976 ], [ 0.0003839672328716095, 0.000593463848430119, -0.010185733897994018, -0.0032347177685974216, -0.022335871566386546, 0.013804166223311954, -0.0032844505481359506, -0.0001923867719142461, 0.0002845677085452379 ], [ 0.0004342995229070451, 0.0004294273824992047, 0.0016908536241065347, -0.002374467165247652, -0.0009360506857426418, 0.0007952142600923998, 0.000673243431904497, -0.0003323361967860787, 0.000024924082455429888 ], [ 0.00006699739877090492, 0.00005800107856557431, -0.00041144102502371825, 0.00041926118842413977, 0.000004018150073257371, 0.00018641636723622929, 0.00010164378465553478, -0.00010311368290879662, -0.0000041270991410542355 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.17526252647785892, 0.012206911120811684, 0.005353889283060066, 0.00008517679524041971 ], [ 0.00016775306520918753, -0.0019022128378524622, -0.0027710437582530332, -0.08806913829883713, -0.14259608164501056, 0.02861193045792167, 0.0007989235572858921, 0.0005139002920764983, -0.0003103131148253676 ], [ 0.00033949299462075354, 0.0022985001010080433, -0.0011561484172313953, 0.003112870008195896, -0.005835502885212229, 0.0003520134476807475, 0.0035777611174590187, -0.0004886097288382792, -0.0001363375455275372 ], [ 0.00004868412386373139, 0.0005021855396616714, 0.00065541921770202, 0.0013305576565648754, 0.0016444381643952201, -0.0007993932149025674, 0.0009221255137528482, -0.0002459755703881852, 0.00003648273124749545 ], [ 0.00004614290435069122, -0.0001230485235215904, -0.000006774288830354219, -0.00040602655308359604, 0.00043164549062583394, -0.00039944179848934913, 0.00008446328587824922, 0.000029308039254390006, 0.0000029307294988764036 ] ]

DVyYkoSq9GwN82V7Wr9SEjB

{"aspect_ratio": 9.645357491850827, "major_radius": 1.0, "max_elongation": 5.505383078508416, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.044056787206900164, 0.3464016034025841, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.7452461620343606, 0.7452465152713009, 0.7452554952284905, 0.7453076788841047, 0.7454756673297971, 0.74587267861162, 0.7466492164512695, 0.7479858624881033, 0.7500836711638138, 0.7531533026756984, 0.7574037827212494, 0.7630315849098136, 0.7702105735867668, 0.7790832114545717, 0.7897533220234598, 0.8022805979701477, 0.8166769605158566, 0.8329048002649198, 0.8508770653378067, 0.8704591071539223, 0.8914721471431205, 0.9136981884098012, 0.9368861644652581, 0.9607590921871466, 0.9850219778237598, 1.0093702128454347, 1.0334981905017413, 1.0571078738449544, 1.0799170515235663, 1.1016670286472676, 1.1221295163033356, 1.1411125047001098, 1.158464931269664, 1.174079986226741, 1.1878969339039633, 1.1999013685125464, 1.2101238676571282, 1.218637055798626, 1.225551142732967, 1.2310080588395378, 1.2351743691263357, 1.238233211693103, 1.2403755728223018, 1.2417912800718673, 1.2426601659203378, 1.2431439269045672, 1.2433792755797042, 1.243473053024131, 1.2435000343538338, 1.243504211014097, 1.24350435007598], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7575059027578928}

9.645357

1

5.505383

[ [ 0.7452461620343606, 0.7452465152713009, 0.7452554952284905, 0.7453076788841047, 0.7454756673297971, 0.74587267861162, 0.7466492164512695, 0.7479858624881033, 0.7500836711638138, 0.7531533026756984, 0.7574037827212494, 0.7630315849098136, 0.7702105735867668, 0.7790832114545717, 0.7897533220234598, 0.8022805979701477, 0.8166769605158566, 0.8329048002649198, 0.8508770653378067, 0.8704591071539223, 0.8914721471431205, 0.9136981884098012, 0.9368861644652581, 0.9607590921871466, 0.9850219778237598, 1.0093702128454347, 1.0334981905017413, 1.0571078738449544, 1.0799170515235663, 1.1016670286472676, 1.1221295163033356, 1.1411125047001098, 1.158464931269664, 1.174079986226741, 1.1878969339039633, 1.1999013685125464, 1.2101238676571282, 1.218637055798626, 1.225551142732967, 1.2310080588395378, 1.2351743691263357, 1.238233211693103, 1.2403755728223018, 1.2417912800718673, 1.2426601659203378, 1.2431439269045672, 1.2433792755797042, 1.243473053024131, 1.2435000343538338, 1.243504211014097, 1.24350435007598 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.044056787206900164, 0.3464016034025841, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.757506

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DAQECgcxtFEnbjr7cKKF39g

null

false

null

false

D8j8vUJeFGePEaJLmMkCPT7

DkrAZpdFun2VN7Z6Nm83oZp

{"qi": 0.016948894442985165, "vacuum_well": -0.07874592454833819, "aspect_ratio": 9.106861005945364, "max_elongation": 5.572050933474213, "average_triangularity": -0.3523557193668525, "axis_magnetic_mirror_ratio": 0.28099724349354843, "edge_magnetic_mirror_ratio": 0.33337881822048965, "aspect_ratio_over_edge_rotational_transform": 12.395887135725536, "flux_compression_in_regions_of_bad_curvature": 1.5026606095573507, "axis_rotational_transform_over_n_field_periods": 0.16405256999657955, "edge_rotational_transform_over_n_field_periods": 0.24488931708375428, "minimum_normalized_magnetic_gradient_scale_length": 4.681558033895248}

9.106861

12.395887

-0.71076

0.280997

0.164053

0.333379

0.244889

1.502661

5.572051

4.681558

0.016949

-0.078746

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1822182130903228,0.01988430368906171,-0.004697829747937034,-0.001690282528493381],[0.0005498440245382066,-0.0022588751713001603,-0.030176170836840148,-0.06416809841966199,0.11614014115023519,0.01665856423646873,0.006868630737609528,0.00020998790316602528,0.0001623558233641085],[-0.0007443706830814089,-0.0023184853820850245,-0.006087099942582681,0.01344671145328013,-0.02143677501107073,0.003243317036137743,-0.0001861589018855186,-0.0005971364926682524,-0.0005245726222096126],[0.0005618502851169832,0.00546019796075413,-0.0011546292702366992,-0.0033501316146123863,0.0039613854440338275,-0.003272631595157783,0.00018212165998642097,-0.00004983939903401794,-0.000046867094648458745],[-0.000048430215951628,0.00015861071981535793,-0.0005123307109906125,0.0002506851343888183,0.00013341222261209918,0.0002323865116671039,-0.00031186849919288704,0.00011350479803183913,0.00005244384038150015]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0813255604568017,-0.039998608971687506,-0.0040806964707250605,0.0005216207632055755],[0.00040863042959375016,0.0010410861370119128,-0.008500808192720692,-0.05165204458218983,-0.13131824021328978,0.0006032314131633638,0.0038970916437532474,0.0017514594177276484,-0.0003749731925123526],[0.0016490593167280416,0.0002270340346550434,-0.005546329894533596,0.004957796791763503,-0.0020101099333888206,-0.006117694778311567,0.001559932215098557,0.0006645332020310589,0.00017715824105037407],[-0.0008433213140657518,0.0019761193190660853,0.012402137612588703,-0.0012050882594215316,0.003825756692478864,0.002939420254096869,-0.0006841578844162411,0.00032654005358833283,0.00009464900609950538],[-0.00030535191539564496,-0.0002825725661538955,0.0008385981558844961,-0.0015141465315035285,0.0005199264367529951,0.00015448279072296134,-0.000048928310902759,-0.00009563322591532946,0.000010827075683708686]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.1822182130903228, 0.01988430368906171, -0.004697829747937034, -0.001690282528493381 ], [ 0.0005498440245382066, -0.0022588751713001603, -0.030176170836840148, -0.06416809841966199, 0.11614014115023519, 0.01665856423646873, 0.006868630737609528, 0.00020998790316602528, 0.0001623558233641085 ], [ -0.0007443706830814089, -0.0023184853820850245, -0.006087099942582681, 0.01344671145328013, -0.02143677501107073, 0.003243317036137743, -0.0001861589018855186, -0.0005971364926682524, -0.0005245726222096126 ], [ 0.0005618502851169832, 0.00546019796075413, -0.0011546292702366992, -0.0033501316146123863, 0.0039613854440338275, -0.003272631595157783, 0.00018212165998642097, -0.00004983939903401794, -0.000046867094648458745 ], [ -0.000048430215951628, 0.00015861071981535793, -0.0005123307109906125, 0.0002506851343888183, 0.00013341222261209918, 0.0002323865116671039, -0.00031186849919288704, 0.00011350479803183913, 0.00005244384038150015 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0813255604568017, -0.039998608971687506, -0.0040806964707250605, 0.0005216207632055755 ], [ 0.00040863042959375016, 0.0010410861370119128, -0.008500808192720692, -0.05165204458218983, -0.13131824021328978, 0.0006032314131633638, 0.0038970916437532474, 0.0017514594177276484, -0.0003749731925123526 ], [ 0.0016490593167280416, 0.0002270340346550434, -0.005546329894533596, 0.004957796791763503, -0.0020101099333888206, -0.006117694778311567, 0.001559932215098557, 0.0006645332020310589, 0.00017715824105037407 ], [ -0.0008433213140657518, 0.0019761193190660853, 0.012402137612588703, -0.0012050882594215316, 0.003825756692478864, 0.002939420254096869, -0.0006841578844162411, 0.00032654005358833283, 0.00009464900609950538 ], [ -0.00030535191539564496, -0.0002825725661538955, 0.0008385981558844961, -0.0015141465315035285, 0.0005199264367529951, 0.00015448279072296134, -0.000048928310902759, -0.00009563322591532946, 0.000010827075683708686 ] ]

DTn9tSDBAua7NUCjqJELK3Q

{"aspect_ratio": 8.990174466850984, "major_radius": 1.0, "max_elongation": 5.410172823110889, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.023177902838163348, 0.012790137988183167, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.7987090674845356, 0.7987092559931921, 0.7987131830327839, 0.7987337098424169, 0.7987959161249817, 0.7989379463558102, 0.7992108336296228, 0.7996776549697429, 0.8004122116146495, 0.8014973617778406, 0.8030230989132322, 0.8050844480049183, 0.8077792390890536, 0.8112058080290117, 0.8154606679253198, 0.8206361895689059, 0.8268183255156522, 0.8340844093433338, 0.8425010592338196, 0.8521222130585148, 0.8629873205324144, 0.8751197166699933, 0.8885251996726868, 0.9031908354652061, 0.9190840103489213, 0.9361517526353778, 0.9543203436481437, 0.9734952381282536, 0.9935613138437134, 1.0143834700875343, 1.035807594756894, 1.057661919848894, 1.079758785503087, 1.1018968331928034, 1.123863649352865, 1.1454388816825622, 1.1663978516543119, 1.1865156884979648, 1.2055720122769666, 1.2233561968643825, 1.2396732480340256, 1.254350338096312, 1.2672440475149491, 1.2782483774572637, 1.2873036184307587, 1.2944061953262613, 1.299619671932185, 1.3030872214407645, 1.305046148766998, 1.3058458390710106, 1.3059740797591606], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.439765587266705}

8.990174

1

5.410173

[ [ 0.7987090674845356, 0.7987092559931921, 0.7987131830327839, 0.7987337098424169, 0.7987959161249817, 0.7989379463558102, 0.7992108336296228, 0.7996776549697429, 0.8004122116146495, 0.8014973617778406, 0.8030230989132322, 0.8050844480049183, 0.8077792390890536, 0.8112058080290117, 0.8154606679253198, 0.8206361895689059, 0.8268183255156522, 0.8340844093433338, 0.8425010592338196, 0.8521222130585148, 0.8629873205324144, 0.8751197166699933, 0.8885251996726868, 0.9031908354652061, 0.9190840103489213, 0.9361517526353778, 0.9543203436481437, 0.9734952381282536, 0.9935613138437134, 1.0143834700875343, 1.035807594756894, 1.057661919848894, 1.079758785503087, 1.1018968331928034, 1.123863649352865, 1.1454388816825622, 1.1663978516543119, 1.1865156884979648, 1.2055720122769666, 1.2233561968643825, 1.2396732480340256, 1.254350338096312, 1.2672440475149491, 1.2782483774572637, 1.2873036184307587, 1.2944061953262613, 1.299619671932185, 1.3030872214407645, 1.305046148766998, 1.3058458390710106, 1.3059740797591606 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.023177902838163348, 0.012790137988183167, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.439766

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

Dda625HE53AxWUVXgvESt3F

null

false

null

false

DNz6w9K284fZxNm2hSt6WHb

DC3F6qwx7aPFrauTHiTHqsR

{"qi": 0.018679862575878455, "vacuum_well": -0.07979764885254238, "aspect_ratio": 9.709856810969592, "max_elongation": 5.353581875255656, "average_triangularity": -0.5520082895531854, "axis_magnetic_mirror_ratio": 0.1769728984223768, "edge_magnetic_mirror_ratio": 0.2995052404600612, "aspect_ratio_over_edge_rotational_transform": 209.85432200845062, "flux_compression_in_regions_of_bad_curvature": 1.3097050102047505, "axis_rotational_transform_over_n_field_periods": 0.24262209959667258, "edge_rotational_transform_over_n_field_periods": 0.046269510763655305, "minimum_normalized_magnetic_gradient_scale_length": 2.9828539875306284}

9.709857

209.854322

-0.381254

0.176973

0.242622

0.299505

0.04627

1.309705

5.353582

2.982854

0.01868

-0.079798

{"r_cos":[[0.0,0.0,0.0,0.0,0.9948585098267232,-0.006044387906931068,-0.19577045615596186,0.0038382205707845132,0.00007136586175269686],[-0.0026377390364253923,-0.03688380667993897,0.052494229204581744,0.03599645438349286,0.08472898082474141,-0.01669827295733538,0.07806323775363988,-0.004152479183311131,0.0017383707089131367],[-0.0024293189334401093,-0.006670881688356498,-0.005968042077067241,0.005636550107406556,0.0006534583703050878,0.002418036213042574,0.00431171820846548,0.0018212850933286917,-0.0009170718136630648],[0.00006445174545441864,0.0015608116871862919,-0.003344415365232502,-0.006465667419807732,-0.0005608411383846573,0.0005487771764984693,0.003490710041465679,-0.00048258209934482193,0.0003827038099618535],[0.00010319735354790179,0.0007831810343000567,-0.00027326783410468235,-0.0017883836898408868,-0.0015789789518080022,-0.00046392088434402644,0.00012908208107924446,0.00014346583363600637,-0.00010046109360035742]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.13838672622171272,-0.14119186820287877,-0.0881799007120095,0.002791418680121229],[0.004534217555935846,-0.017748837152491544,0.04046746163438738,-0.10037880195225948,-0.07194466969271406,0.09991427426859653,-0.024118409717141708,0.016589798547741723,-0.0015516450970277248],[0.002401247040327522,0.0010321842514851287,-0.00441317343852651,-0.0052188617449105005,-0.007449219809913352,-0.0003002306723563133,-0.002357361554219723,0.0019963661882318093,-0.00022642890984826973],[-0.000564591748757499,0.0021505265031247786,-0.0019366122903475584,0.0005796238367304255,-0.0021941934560030536,9.113315222863375e-6,-0.0018378918610892844,0.0009649507725423806,-0.0001606541058201363],[-0.00019220334357028697,-0.00009074566341661567,0.0007742647270566346,0.0003850525497643298,-0.0003568145848596547,-0.0002841166828814452,-0.00007381087481400726,0.00014637105799806735,-0.00008830242254915881]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9948585098267232, -0.006044387906931068, -0.19577045615596186, 0.0038382205707845132, 0.00007136586175269686 ], [ -0.0026377390364253923, -0.03688380667993897, 0.052494229204581744, 0.03599645438349286, 0.08472898082474141, -0.01669827295733538, 0.07806323775363988, -0.004152479183311131, 0.0017383707089131367 ], [ -0.0024293189334401093, -0.006670881688356498, -0.005968042077067241, 0.005636550107406556, 0.0006534583703050878, 0.002418036213042574, 0.00431171820846548, 0.0018212850933286917, -0.0009170718136630648 ], [ 0.00006445174545441864, 0.0015608116871862919, -0.003344415365232502, -0.006465667419807732, -0.0005608411383846573, 0.0005487771764984693, 0.003490710041465679, -0.00048258209934482193, 0.0003827038099618535 ], [ 0.00010319735354790179, 0.0007831810343000567, -0.00027326783410468235, -0.0017883836898408868, -0.0015789789518080022, -0.00046392088434402644, 0.00012908208107924446, 0.00014346583363600637, -0.00010046109360035742 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.13838672622171272, -0.14119186820287877, -0.0881799007120095, 0.002791418680121229 ], [ 0.004534217555935846, -0.017748837152491544, 0.04046746163438738, -0.10037880195225948, -0.07194466969271406, 0.09991427426859653, -0.024118409717141708, 0.016589798547741723, -0.0015516450970277248 ], [ 0.002401247040327522, 0.0010321842514851287, -0.00441317343852651, -0.0052188617449105005, -0.007449219809913352, -0.0003002306723563133, -0.002357361554219723, 0.0019963661882318093, -0.00022642890984826973 ], [ -0.000564591748757499, 0.0021505265031247786, -0.0019366122903475584, 0.0005796238367304255, -0.0021941934560030536, 0.000009113315222863375, -0.0018378918610892844, 0.0009649507725423806, -0.0001606541058201363 ], [ -0.00019220334357028697, -0.00009074566341661567, 0.0007742647270566346, 0.0003850525497643298, -0.0003568145848596547, -0.0002841166828814452, -0.00007381087481400726, 0.00014637105799806735, -0.00008830242254915881 ] ]

D8bHahK4LDdrUZF3H8Up2Fc

{"aspect_ratio": 10.329954120551605, "major_radius": 1.0, "max_elongation": 4.799640770176717, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.011841453687667303, 0.12911967656547596, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.8150506321367461, 0.8150507455819965, 0.815054397664625, 0.8150788831002874, 0.8151658444956663, 0.8153868674674415, 0.8158443224096489, 0.8166682870857601, 0.8180105011369783, 0.8200362883070895, 0.8229153103753027, 0.8268119179610601, 0.8318757520576966, 0.8382331345631335, 0.8459796712495731, 0.8551743798404946, 0.8658355513711453, 0.8779384563409395, 0.8914149193964637, 0.9061547081497584, 0.922008613724891, 0.9387930430286368, 0.9562958956943961, 0.9742834621590671, 0.9925080532969082, 1.0107160562518789, 1.0286561052923704, 1.046087060290056, 1.0627854983507525, 1.0785524456769935, 1.0932191063210168, 1.1066513814172518, 1.1187530160082286, 1.129467259853687, 1.1387769827015495, 1.1467032423581751, 1.153302364361131, 1.1586616538289394, 1.1628939216726075, 1.166131067137039, 1.1685170146820947, 1.170200353280924, 1.1713270676569012, 1.1720337805793308, 1.172441939061191, 1.1726533699106376, 1.1727475944303283, 1.1727812177164716, 1.172789578390183, 1.1727906296209567, 1.1727906545535942], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.27679747491662904}

10.329954

1

4.799641

[ [ 0.8150506321367461, 0.8150507455819965, 0.815054397664625, 0.8150788831002874, 0.8151658444956663, 0.8153868674674415, 0.8158443224096489, 0.8166682870857601, 0.8180105011369783, 0.8200362883070895, 0.8229153103753027, 0.8268119179610601, 0.8318757520576966, 0.8382331345631335, 0.8459796712495731, 0.8551743798404946, 0.8658355513711453, 0.8779384563409395, 0.8914149193964637, 0.9061547081497584, 0.922008613724891, 0.9387930430286368, 0.9562958956943961, 0.9742834621590671, 0.9925080532969082, 1.0107160562518789, 1.0286561052923704, 1.046087060290056, 1.0627854983507525, 1.0785524456769935, 1.0932191063210168, 1.1066513814172518, 1.1187530160082286, 1.129467259853687, 1.1387769827015495, 1.1467032423581751, 1.153302364361131, 1.1586616538289394, 1.1628939216726075, 1.166131067137039, 1.1685170146820947, 1.170200353280924, 1.1713270676569012, 1.1720337805793308, 1.172441939061191, 1.1726533699106376, 1.1727475944303283, 1.1727812177164716, 1.172789578390183, 1.1727906296209567, 1.1727906545535942 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ 0.011841453687667303, 0.12911967656547596, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.276797

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DDwhHWFLJQPUs3NV6w6Er45

null

false

null

false

Dfbu6YncwYxbySHzwisotHD

DBy9t4fStrGzpCH6hSYxnpf

{"qi": 0.0020341928738633118, "vacuum_well": -0.13436872232858393, "aspect_ratio": 9.67713422422128, "max_elongation": 7.220940399377842, "average_triangularity": -0.01758931360766941, "axis_magnetic_mirror_ratio": 0.29034847113073925, "edge_magnetic_mirror_ratio": 0.38673166647390655, "aspect_ratio_over_edge_rotational_transform": 11.827025546437465, "flux_compression_in_regions_of_bad_curvature": 1.263347952125542, "axis_rotational_transform_over_n_field_periods": 0.20467547112376722, "edge_rotational_transform_over_n_field_periods": 0.20455553651729927, "minimum_normalized_magnetic_gradient_scale_length": 9.288684405569205}

9.677134

11.827026

0.036144

0.290348

0.204675

0.386732

0.204556

1.263348

7.22094

9.288684

0.002034

-0.134369

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0811756031148839,0.0071375399393369746,-0.0002896898043237778,0.00039813210399121217],[0.0008545817769256246,0.002123708255893995,-0.01135331286401161,0.08033448977593963,0.07527017400224502,-0.046673927747600534,0.011561206465950075,-0.002854757822203954,0.0006435510038783235],[-0.0003665632436076798,0.0007247121659502439,-0.004294325652772145,-0.02044319974303998,0.009594808433879602,-0.006998965788444998,0.001685346714154653,-0.0003413248114498853,0.00007744592014573832],[-0.00011135154533942668,-0.0003483945240035264,0.0007680781101958046,-0.0007628881775611398,0.00405042408313227,-0.002373629061169449,0.0006575198763706516,0.00011925886122942334,-0.00001479432322636624],[0.00003206230533334142,0.000047729958361149625,-0.00017601128235776985,0.000010862556287521193,-0.0012704678123459648,0.00095815152897333,-0.0004980768731295362,0.00006829416924822028,-5.464388935601662e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.029482592045535598,-0.0007063137399323906,0.0002865496294473394,-0.0004900223659516489],[-0.00013880966821412048,0.0011136527490030078,0.006851523011146237,0.058126049775830343,-0.1837285736718044,0.05018099252318077,-0.007012596001695003,0.0009668064258304973,-0.00022701129491880736],[-0.0006783853997220373,-0.002132353229003114,-0.0024522478424423184,-0.020165824538840565,-0.014831219520022698,0.01709105229808659,-0.006809665450663098,0.002132326998212541,-0.00029173181177374413],[-0.0004416392108193741,-0.0017443297636259912,-0.0015964156005713794,-0.0036675484257608785,0.0025323703082715324,-0.001522661794393826,0.000389257325974184,0.00024844806633776445,-0.0001308247515578723],[0.00007945421080379764,0.0006662579129253473,0.0005818122142886583,0.0008732844188750443,-0.0003635807505208749,-0.0002908658779700418,0.0003594526368598206,-0.00010462289482281883,0.00001526282598300624]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.0811756031148839, 0.0071375399393369746, -0.0002896898043237778, 0.00039813210399121217 ], [ 0.0008545817769256246, 0.002123708255893995, -0.01135331286401161, 0.08033448977593963, 0.07527017400224502, -0.046673927747600534, 0.011561206465950075, -0.002854757822203954, 0.0006435510038783235 ], [ -0.0003665632436076798, 0.0007247121659502439, -0.004294325652772145, -0.02044319974303998, 0.009594808433879602, -0.006998965788444998, 0.001685346714154653, -0.0003413248114498853, 0.00007744592014573832 ], [ -0.00011135154533942668, -0.0003483945240035264, 0.0007680781101958046, -0.0007628881775611398, 0.00405042408313227, -0.002373629061169449, 0.0006575198763706516, 0.00011925886122942334, -0.00001479432322636624 ], [ 0.00003206230533334142, 0.000047729958361149625, -0.00017601128235776985, 0.000010862556287521193, -0.0012704678123459648, 0.00095815152897333, -0.0004980768731295362, 0.00006829416924822028, -0.000005464388935601662 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.029482592045535598, -0.0007063137399323906, 0.0002865496294473394, -0.0004900223659516489 ], [ -0.00013880966821412048, 0.0011136527490030078, 0.006851523011146237, 0.058126049775830343, -0.1837285736718044, 0.05018099252318077, -0.007012596001695003, 0.0009668064258304973, -0.00022701129491880736 ], [ -0.0006783853997220373, -0.002132353229003114, -0.0024522478424423184, -0.020165824538840565, -0.014831219520022698, 0.01709105229808659, -0.006809665450663098, 0.002132326998212541, -0.00029173181177374413 ], [ -0.0004416392108193741, -0.0017443297636259912, -0.0015964156005713794, -0.0036675484257608785, 0.0025323703082715324, -0.001522661794393826, 0.000389257325974184, 0.00024844806633776445, -0.0001308247515578723 ], [ 0.00007945421080379764, 0.0006662579129253473, 0.0005818122142886583, 0.0008732844188750443, -0.0003635807505208749, -0.0002908658779700418, 0.0003594526368598206, -0.00010462289482281883, 0.00001526282598300624 ] ]

D4s2xiBoW2YP4qB76eAEDx3

{"aspect_ratio": 9.685893063745075, "major_radius": 1.0, "max_elongation": 6.5300584137250155, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.010563361318277304, -0.13506427433991713, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.6718099689985606, 0.6718101683649685, 0.6718154150340192, 0.6718468744451132, 0.6719512273883204, 0.6722051793507059, 0.6727165435516325, 0.6736227145046351, 0.67508713983996, 0.6772942851454204, 0.6804435115402693, 0.6847422296637371, 0.6903986486458127, 0.6976144003849247, 0.7065772858318397, 0.7174543596137547, 0.7303855413576849, 0.7454779159025424, 0.7628008598141717, 0.782382107938465, 0.8042048509204255, 0.8282059325084062, 0.8542751939150177, 0.8822559914068263, 0.9119468925493204, 0.9431045360598581, 0.9754476199462296, 1.0086619624646076, 1.0424065603534165, 1.0763205487250376, 1.1100309468595027, 1.1431610538731378, 1.1753393377530972, 1.2062086404673336, 1.2354355006747066, 1.2627193738454605, 1.287801507201007, 1.3104732035927813, 1.3305831839986242, 1.3480437323647565, 1.362835278565473, 1.3750090445781733, 1.3846873445166066, 1.3920610892824516, 1.3973839985982592, 1.400962962424758, 1.4031439115753293, 1.4042924359124047, 1.404768186027071, 1.4048916905981068, 1.40490111112527], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7817677658818448}

9.685893

1

6.530058

[ [ 0.6718099689985606, 0.6718101683649685, 0.6718154150340192, 0.6718468744451132, 0.6719512273883204, 0.6722051793507059, 0.6727165435516325, 0.6736227145046351, 0.67508713983996, 0.6772942851454204, 0.6804435115402693, 0.6847422296637371, 0.6903986486458127, 0.6976144003849247, 0.7065772858318397, 0.7174543596137547, 0.7303855413576849, 0.7454779159025424, 0.7628008598141717, 0.782382107938465, 0.8042048509204255, 0.8282059325084062, 0.8542751939150177, 0.8822559914068263, 0.9119468925493204, 0.9431045360598581, 0.9754476199462296, 1.0086619624646076, 1.0424065603534165, 1.0763205487250376, 1.1100309468595027, 1.1431610538731378, 1.1753393377530972, 1.2062086404673336, 1.2354355006747066, 1.2627193738454605, 1.287801507201007, 1.3104732035927813, 1.3305831839986242, 1.3480437323647565, 1.362835278565473, 1.3750090445781733, 1.3846873445166066, 1.3920610892824516, 1.3973839985982592, 1.400962962424758, 1.4031439115753293, 1.4042924359124047, 1.404768186027071, 1.4048916905981068, 1.40490111112527 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.010563361318277304, -0.13506427433991713, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.781768

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D75heWRJ2TUw7AVAsZiu7gs

null

false

null

false

DMSZGt5DqTJh42ttF4HVZCF

DfC52gXyGqeyNLfznJjEmpy

{"qi": 0.0018671167724663184, "vacuum_well": -0.1275577520961987, "aspect_ratio": 9.783758765750706, "max_elongation": 6.453950716583618, "average_triangularity": -0.4396335360277891, "axis_magnetic_mirror_ratio": 0.32473731255421967, "edge_magnetic_mirror_ratio": 0.342273763700703, "aspect_ratio_over_edge_rotational_transform": 18.52695482445257, "flux_compression_in_regions_of_bad_curvature": 1.2446240228439143, "axis_rotational_transform_over_n_field_periods": 0.14512800419341548, "edge_rotational_transform_over_n_field_periods": 0.1320205999644061, "minimum_normalized_magnetic_gradient_scale_length": 6.022395431672926}

9.783759

18.526955

-0.715736

0.324737

0.145128

0.342274

0.132021

1.244624

6.453951

6.022395

0.001867

-0.127558

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.04085590287166957,-0.007571594649257952,-0.002020133066456084,-0.0003734749058413545],[-0.0006161929206942971,0.00059576751736658,-0.0014359662685266613,-0.06592927943692484,0.09250630170710557,0.01846659450014907,-0.006670220420180419,-0.0013882859660031136,0.00007103982077359867],[0.0005234668295680069,-0.0005682557957442276,-0.002927355161986834,-0.0005844426839291409,-0.013349168149266684,0.010071319428971565,-0.001085773980660794,-0.0009872144098571414,0.00012899434854868964],[-0.00016116611139635424,0.0010889167721848348,0.0031417746930774764,-0.0031849172073448668,0.0015429712780126235,-0.0010459543391295985,-0.00024583204564958944,0.00006671747586994565,0.00005684044151216061],[-0.00005738950243793921,0.000043548855165282836,-0.0007553576807801323,0.00006800223171811578,0.00003343307805366187,-0.000058356380044006975,-0.00020609122271700173,0.00010009763748229947,0.000024197300168165984]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0711758490856086,-0.004927308325123994,0.00228722186373173,0.0004523731963637992],[-0.0007627168303800712,0.000911374244429114,-0.002799602462433601,-0.04788165458798332,-0.1602801645970218,0.007479423902441162,0.004925047556002629,0.00008449578895653587,0.00022210440097951428],[-0.0000182742108743104,0.0008663526863410294,-0.0033500811729188598,0.023538945349873743,-0.038308608686365986,-0.0016381675059979547,0.005035046237439594,0.000022539472808806127,-0.0001414184597879071],[-0.0003208117917685375,0.0003146424057504232,0.00274746385588496,0.009077804493750757,-0.0069897977381722445,-0.00010726597041648463,0.0019271348895465406,-0.00012367952855366955,-0.00017825950894069035],[0.0001439777608628413,-0.0004906946064589133,-0.0007438239788267642,0.0009925049793927162,0.000297508566760649,0.00010574772177013986,0.00007636125201694295,-0.00011157290582149853,-0.00007141206029013152]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.04085590287166957, -0.007571594649257952, -0.002020133066456084, -0.0003734749058413545 ], [ -0.0006161929206942971, 0.00059576751736658, -0.0014359662685266613, -0.06592927943692484, 0.09250630170710557, 0.01846659450014907, -0.006670220420180419, -0.0013882859660031136, 0.00007103982077359867 ], [ 0.0005234668295680069, -0.0005682557957442276, -0.002927355161986834, -0.0005844426839291409, -0.013349168149266684, 0.010071319428971565, -0.001085773980660794, -0.0009872144098571414, 0.00012899434854868964 ], [ -0.00016116611139635424, 0.0010889167721848348, 0.0031417746930774764, -0.0031849172073448668, 0.0015429712780126235, -0.0010459543391295985, -0.00024583204564958944, 0.00006671747586994565, 0.00005684044151216061 ], [ -0.00005738950243793921, 0.000043548855165282836, -0.0007553576807801323, 0.00006800223171811578, 0.00003343307805366187, -0.000058356380044006975, -0.00020609122271700173, 0.00010009763748229947, 0.000024197300168165984 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0711758490856086, -0.004927308325123994, 0.00228722186373173, 0.0004523731963637992 ], [ -0.0007627168303800712, 0.000911374244429114, -0.002799602462433601, -0.04788165458798332, -0.1602801645970218, 0.007479423902441162, 0.004925047556002629, 0.00008449578895653587, 0.00022210440097951428 ], [ -0.0000182742108743104, 0.0008663526863410294, -0.0033500811729188598, 0.023538945349873743, -0.038308608686365986, -0.0016381675059979547, 0.005035046237439594, 0.000022539472808806127, -0.0001414184597879071 ], [ -0.0003208117917685375, 0.0003146424057504232, 0.00274746385588496, 0.009077804493750757, -0.0069897977381722445, -0.00010726597041648463, 0.0019271348895465406, -0.00012367952855366955, -0.00017825950894069035 ], [ 0.0001439777608628413, -0.0004906946064589133, -0.0007438239788267642, 0.0009925049793927162, 0.000297508566760649, 0.00010574772177013986, 0.00007636125201694295, -0.00011157290582149853, -0.00007141206029013152 ] ]

DgMmV3fxx9eJ3oRvftvtkiF

{"aspect_ratio": 11.203637653057804, "major_radius": 1.0, "max_elongation": 6.10706023874315, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.14240952217545275, 0.045957308564284594, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.7613127988175898, 0.761312803573026, 0.7613130220667389, 0.7613148893204869, 0.7613229123189256, 0.7613468606717969, 0.761404008280566, 0.7615212404145683, 0.7617368935883243, 0.7621022303029914, 0.7626824764543686, 0.763557369772766, 0.7648211848975869, 0.7665822156365142, 0.768961708246971, 0.7720922516170325, 0.7761156412958413, 0.7811802446311454, 0.787437903962962, 0.7950404240115966, 0.8041356983751273, 0.8148635384886798, 0.827351276555996, 0.8417092218948916, 0.8580260578882868, 0.8763642743437731, 0.8967557375773214, 0.9191975079904617, 0.9436480223460556, 0.9700237654095948, 0.9981965631599264, 1.0279916374423717, 1.0591865698066827, 1.0915113304267798, 1.1246495365465, 1.1582411139770055, 1.1918865449769198, 1.225152896638312, 1.2575818360528805, 1.2886998525880804, 1.318030924385131, 1.3451118869874201, 1.369510788919036, 1.3908485556539834, 1.408824336266186, 1.4232449888150804, 1.4340592981914781, 1.441397778289645, 1.4456194709913701, 1.44736868044922, 1.4476512286840026], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5893958968835168}

11.203638

1

6.10706

[ [ 0.7613127988175898, 0.761312803573026, 0.7613130220667389, 0.7613148893204869, 0.7613229123189256, 0.7613468606717969, 0.761404008280566, 0.7615212404145683, 0.7617368935883243, 0.7621022303029914, 0.7626824764543686, 0.763557369772766, 0.7648211848975869, 0.7665822156365142, 0.768961708246971, 0.7720922516170325, 0.7761156412958413, 0.7811802446311454, 0.787437903962962, 0.7950404240115966, 0.8041356983751273, 0.8148635384886798, 0.827351276555996, 0.8417092218948916, 0.8580260578882868, 0.8763642743437731, 0.8967557375773214, 0.9191975079904617, 0.9436480223460556, 0.9700237654095948, 0.9981965631599264, 1.0279916374423717, 1.0591865698066827, 1.0915113304267798, 1.1246495365465, 1.1582411139770055, 1.1918865449769198, 1.225152896638312, 1.2575818360528805, 1.2886998525880804, 1.318030924385131, 1.3451118869874201, 1.369510788919036, 1.3908485556539834, 1.408824336266186, 1.4232449888150804, 1.4340592981914781, 1.441397778289645, 1.4456194709913701, 1.44736868044922, 1.4476512286840026 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.14240952217545275, 0.045957308564284594, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.589396

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DGXsTTUAWKh4GSJcNUv8Nzi

null

false

null

false

DByBqpqg2hhgDui3Q25fNjG

DP63wbRxMK68EXB5ttna5yq

{"qi": 0.005751061850827016, "vacuum_well": -0.23104862306562807, "aspect_ratio": 9.730496215925628, "max_elongation": 3.2527962748534027, "average_triangularity": -0.23294818502854814, "axis_magnetic_mirror_ratio": 0.3049468078163886, "edge_magnetic_mirror_ratio": 0.4180817889761746, "aspect_ratio_over_edge_rotational_transform": 20.341374821037263, "flux_compression_in_regions_of_bad_curvature": 0.6751060930450654, "axis_rotational_transform_over_n_field_periods": 0.13521308755071412, "edge_rotational_transform_over_n_field_periods": 0.09567196221036395, "minimum_normalized_magnetic_gradient_scale_length": 6.087493495372368}

9.730496

20.341375

-0.581388

0.304947

0.135213

0.418082

0.095672

0.675106

3.252796

6.087493

0.005751

-0.231049

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.053748651148827084,-0.0017896320370546447,0.0028584837344707123,0.0003536322967538406],[-0.0015201629784042047,0.0005219068528015122,0.019094855627504265,0.006021891798479503,0.09295536392607245,-0.014783392107965247,-0.0020915062998857308,0.0008335140351237149,-0.0007499608072866526],[0.0013153553964330707,-0.002130745215535807,-0.010918335850463326,0.023431485718704494,-0.002209712934599848,0.0015720797334683612,-0.004418657872767505,0.0012425759089029287,-0.00023941395564653983],[-0.0008203630288487789,0.0015729788542843542,0.008354259037293324,-0.00013614656172865867,0.003690333971623879,-0.0002652831580262925,0.0002738303415517167,0.00020726748447511152,0.00010664639325368207],[0.0002247749008420171,0.00020611728289475162,-0.0007817306218125649,0.0004460194898040586,-0.00019163121520781969,0.0005359155919367636,-0.0002992875490610232,0.0002268334972716544,-0.00003859126457014334]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.025344849107120582,0.001030691017146858,-0.0007100884422818012,-0.0003393434068053348],[-0.0009814239724168455,0.0017537739252581814,0.026921208023052763,-0.015346235285665685,-0.12138080933629637,0.04884586524660124,-0.004149751997930218,1.9483839340620488e-6,-0.00005925670261759094],[0.0018300224377916514,0.00016183662701994026,-0.015848327092807625,0.0045670638056518,-0.004462791046371913,0.004556993334854882,0.0014754191290133542,-0.0013774997998203275,0.0002156089662873693],[-0.0007487564858465811,0.0007031194187856736,0.004048708207720075,-0.003034155123724899,0.0010597782430349803,-0.0010282795434631577,-0.00020545251543484483,0.000026191964113609593,0.000013146493791810297],[0.00020913267815662558,-0.000014907020645978635,-0.00064279788223414,-0.00020617700993335878,-0.00021333640354034516,0.00022473719488983355,-0.00008331006659893818,0.00001442863609547514,-0.00003158115433308659]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.053748651148827084, -0.0017896320370546447, 0.0028584837344707123, 0.0003536322967538406 ], [ -0.0015201629784042047, 0.0005219068528015122, 0.019094855627504265, 0.006021891798479503, 0.09295536392607245, -0.014783392107965247, -0.0020915062998857308, 0.0008335140351237149, -0.0007499608072866526 ], [ 0.0013153553964330707, -0.002130745215535807, -0.010918335850463326, 0.023431485718704494, -0.002209712934599848, 0.0015720797334683612, -0.004418657872767505, 0.0012425759089029287, -0.00023941395564653983 ], [ -0.0008203630288487789, 0.0015729788542843542, 0.008354259037293324, -0.00013614656172865867, 0.003690333971623879, -0.0002652831580262925, 0.0002738303415517167, 0.00020726748447511152, 0.00010664639325368207 ], [ 0.0002247749008420171, 0.00020611728289475162, -0.0007817306218125649, 0.0004460194898040586, -0.00019163121520781969, 0.0005359155919367636, -0.0002992875490610232, 0.0002268334972716544, -0.00003859126457014334 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.025344849107120582, 0.001030691017146858, -0.0007100884422818012, -0.0003393434068053348 ], [ -0.0009814239724168455, 0.0017537739252581814, 0.026921208023052763, -0.015346235285665685, -0.12138080933629637, 0.04884586524660124, -0.004149751997930218, 0.0000019483839340620488, -0.00005925670261759094 ], [ 0.0018300224377916514, 0.00016183662701994026, -0.015848327092807625, 0.0045670638056518, -0.004462791046371913, 0.004556993334854882, 0.0014754191290133542, -0.0013774997998203275, 0.0002156089662873693 ], [ -0.0007487564858465811, 0.0007031194187856736, 0.004048708207720075, -0.003034155123724899, 0.0010597782430349803, -0.0010282795434631577, -0.00020545251543484483, 0.000026191964113609593, 0.000013146493791810297 ], [ 0.00020913267815662558, -0.000014907020645978635, -0.00064279788223414, -0.00020617700993335878, -0.00021333640354034516, 0.00022473719488983355, -0.00008331006659893818, 0.00001442863609547514, -0.00003158115433308659 ] ]

DT4ZHb6STWLPu4tvuwxUULh

{"aspect_ratio": 9.282747419139692, "major_radius": 1.0, "max_elongation": 6.426972813875647, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2125499514690372, 0.19597876875054257, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7404447855952991, 0.7404448698561817, 0.7404468423274866, 0.7404579887753753, 0.7404938303108826, 0.7405797561667204, 0.7407519839704926, 0.7410580197628897, 0.7415567129894588, 0.742317969333217, 0.743422167286129, 0.744959314312528, 0.7470279720331169, 0.7497339755306421, 0.7531889688620579, 0.7575087767180566, 0.7628116306390974, 0.7692162671165913, 0.7768399141763739, 0.7857961825933382, 0.7961928776796169, 0.8081297475995806, 0.8216961843816073, 0.8369688942182055, 0.8540095542814716, 0.8728624741486167, 0.8935522810617773, 0.916081649679563, 0.94042909877272, 0.966546879551369, 0.9943589830925244, 1.0237592978076728, 1.0546099522475345, 1.0867398840563776, 1.1199436829427203, 1.1539807646712665, 1.1885749450948637, 1.223414499314722, 1.2581528129823545, 1.2924097633656035, 1.3257740116831704, 1.3578064531031764, 1.3880451703292462, 1.4160123961589872, 1.441224259807648, 1.4632045780235219, 1.4815049072364965, 1.495735175552518, 1.5056146619248305, 1.511071484730021, 1.5125347461442824], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5790305411361166}

9.282747

1

6.426973

[ [ 0.7404447855952991, 0.7404448698561817, 0.7404468423274866, 0.7404579887753753, 0.7404938303108826, 0.7405797561667204, 0.7407519839704926, 0.7410580197628897, 0.7415567129894588, 0.742317969333217, 0.743422167286129, 0.744959314312528, 0.7470279720331169, 0.7497339755306421, 0.7531889688620579, 0.7575087767180566, 0.7628116306390974, 0.7692162671165913, 0.7768399141763739, 0.7857961825933382, 0.7961928776796169, 0.8081297475995806, 0.8216961843816073, 0.8369688942182055, 0.8540095542814716, 0.8728624741486167, 0.8935522810617773, 0.916081649679563, 0.94042909877272, 0.966546879551369, 0.9943589830925244, 1.0237592978076728, 1.0546099522475345, 1.0867398840563776, 1.1199436829427203, 1.1539807646712665, 1.1885749450948637, 1.223414499314722, 1.2581528129823545, 1.2924097633656035, 1.3257740116831704, 1.3578064531031764, 1.3880451703292462, 1.4160123961589872, 1.441224259807648, 1.4632045780235219, 1.4815049072364965, 1.495735175552518, 1.5056146619248305, 1.511071484730021, 1.5125347461442824 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.2125499514690372, 0.19597876875054257, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.579031

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D5g4yF4VRjonXpcoEiZ6KDR

null

false

null

false

DchQjPgbMK7GC6LdeuEpZeW

DVCipJ4PiMAv6o2PikSBArb

{"qi": 0.03261755490176744, "vacuum_well": -0.06459978490677759, "aspect_ratio": 8.646579847315753, "max_elongation": 5.502016791970507, "average_triangularity": -0.4126938980271222, "axis_magnetic_mirror_ratio": 0.5187201968814865, "edge_magnetic_mirror_ratio": 0.7710355004117091, "aspect_ratio_over_edge_rotational_transform": 7.681620211333678, "flux_compression_in_regions_of_bad_curvature": 1.178295213793308, "axis_rotational_transform_over_n_field_periods": 0.2545071033480216, "edge_rotational_transform_over_n_field_periods": 0.2251238569321182, "minimum_normalized_magnetic_gradient_scale_length": 4.085760531144445}

8.64658

7.68162

-0.450462

0.51872

0.254507

0.771036

0.225124

1.178295

5.502017

4.085761

0.032618

-0.0646

{"r_cos":[[0.0,0.0,0.0,0.0,0.9978449539219556,0.07386062655750895,-0.026788037730258764,-0.003653041795736061,0.000918613217286004],[0.00022393294266012263,0.006573724943929809,0.04042744978219118,0.04176889945997028,0.09324413080627417,-0.03515361932417688,0.001546487341240469,0.00025659493312251086,-0.0005483321693176066],[-0.00043600590511527884,-0.005513608074132889,-0.02404733878991573,0.008286262700666135,0.005066911175636471,-0.003987449865508455,0.0022904178517488705,-0.0015105567128060942,0.0003711296430387758],[0.00043057472466500983,0.002040374296844712,0.0035086074536149047,-0.005336843350255974,0.002256603610748468,-0.0007800661736602657,0.0002679122065987133,0.00006359678139691936,-0.00009057596774968924],[-0.0003815783961296304,2.009466383406816e-6,0.0016012083853961035,0.00007174614413161867,-0.0009298737699899246,0.0001853132090324388,0.00015017507760342738,-0.0001294917061109549,0.00006409389801703176]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.051389586812201904,0.006619923493773936,0.0009381389763803739,0.0007026409275208927],[0.0003778950994075801,0.007166853517784754,0.044211323190229315,0.019191355186529552,-0.1636094701382377,0.030402679184406572,0.0006145343210719849,-0.0014389001152217236,0.0008163769549494328],[-0.0007275498100827926,-0.005527827412351149,-0.010409779175286214,0.007693267257681446,-0.012836170507117677,0.00020822335233838156,-0.00021345480802874729,0.0006756653874428497,-0.00020188918273188623],[-0.00011488971186934951,-0.0006085498942947575,-0.0014603175005421202,-0.003589980518860522,0.001462290809322176,0.0004924141246223706,-0.0008272553770094289,0.00007703763963103701,0.0000655676250140265],[-0.00015636872391906973,0.00028084743344680783,-0.00032860776699085496,0.00010793217306796212,-0.00009583102311967219,-7.704751265538799e-6,-0.00004052193250915438,0.00013459029171080858,-0.000052825498516117116]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9978449539219556, 0.07386062655750895, -0.026788037730258764, -0.003653041795736061, 0.000918613217286004 ], [ 0.00022393294266012263, 0.006573724943929809, 0.04042744978219118, 0.04176889945997028, 0.09324413080627417, -0.03515361932417688, 0.001546487341240469, 0.00025659493312251086, -0.0005483321693176066 ], [ -0.00043600590511527884, -0.005513608074132889, -0.02404733878991573, 0.008286262700666135, 0.005066911175636471, -0.003987449865508455, 0.0022904178517488705, -0.0015105567128060942, 0.0003711296430387758 ], [ 0.00043057472466500983, 0.002040374296844712, 0.0035086074536149047, -0.005336843350255974, 0.002256603610748468, -0.0007800661736602657, 0.0002679122065987133, 0.00006359678139691936, -0.00009057596774968924 ], [ -0.0003815783961296304, 0.000002009466383406816, 0.0016012083853961035, 0.00007174614413161867, -0.0009298737699899246, 0.0001853132090324388, 0.00015017507760342738, -0.0001294917061109549, 0.00006409389801703176 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.051389586812201904, 0.006619923493773936, 0.0009381389763803739, 0.0007026409275208927 ], [ 0.0003778950994075801, 0.007166853517784754, 0.044211323190229315, 0.019191355186529552, -0.1636094701382377, 0.030402679184406572, 0.0006145343210719849, -0.0014389001152217236, 0.0008163769549494328 ], [ -0.0007275498100827926, -0.005527827412351149, -0.010409779175286214, 0.007693267257681446, -0.012836170507117677, 0.00020822335233838156, -0.00021345480802874729, 0.0006756653874428497, -0.00020188918273188623 ], [ -0.00011488971186934951, -0.0006085498942947575, -0.0014603175005421202, -0.003589980518860522, 0.001462290809322176, 0.0004924141246223706, -0.0008272553770094289, 0.00007703763963103701, 0.0000655676250140265 ], [ -0.00015636872391906973, 0.00028084743344680783, -0.00032860776699085496, 0.00010793217306796212, -0.00009583102311967219, -0.000007704751265538799, -0.00004052193250915438, 0.00013459029171080858, -0.000052825498516117116 ] ]

DdmQdG9TsD5xJMaRtRmdpQW

{"aspect_ratio": 8.106389498864461, "major_radius": 1.0, "max_elongation": 6.243557608279456, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.38801008818694166, 0.06471713568731269, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.6411899351434365, 0.6411981506835824, 0.6413162151061205, 0.6417941184063738, 0.6429813678219416, 0.6452745116209148, 0.649073964096997, 0.6547501332377003, 0.6626181663253055, 0.6729204193445075, 0.68581569389208, 0.7013742853475835, 0.7195779169664477, 0.740323682188664, 0.7634311745920022, 0.7886520474821912, 0.8156813106242564, 0.8441697384743667, 0.8737368313755467, 0.9039838377518288, 0.934506410792233, 0.9649065370089045, 0.9948034360230404, 1.0238431906801915, 1.0517069238689296, 1.0781173929901116, 1.1028439246956885, 1.1257056610982579, 1.1465731339661973, 1.1653682252898367, 1.182062610857873, 1.1966748179436622, 1.209266058685488, 1.2199350270611333, 1.2288118692992382, 1.2360515549141007, 1.2418268880492425, 1.2463214061903072, 1.249722415242188, 1.2522144060898286, 1.2539730876398645, 1.2551602544425386, 1.2559196826650862, 1.256374215594895, 1.2566241578955801, 1.2567470450198477, 1.2567987883414853, 1.2568161144038905, 1.2568201127014875, 1.2568205703005417, 1.2568205797664849], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4253879969665826}

8.106389

1

6.243558

[ [ 0.6411899351434365, 0.6411981506835824, 0.6413162151061205, 0.6417941184063738, 0.6429813678219416, 0.6452745116209148, 0.649073964096997, 0.6547501332377003, 0.6626181663253055, 0.6729204193445075, 0.68581569389208, 0.7013742853475835, 0.7195779169664477, 0.740323682188664, 0.7634311745920022, 0.7886520474821912, 0.8156813106242564, 0.8441697384743667, 0.8737368313755467, 0.9039838377518288, 0.934506410792233, 0.9649065370089045, 0.9948034360230404, 1.0238431906801915, 1.0517069238689296, 1.0781173929901116, 1.1028439246956885, 1.1257056610982579, 1.1465731339661973, 1.1653682252898367, 1.182062610857873, 1.1966748179436622, 1.209266058685488, 1.2199350270611333, 1.2288118692992382, 1.2360515549141007, 1.2418268880492425, 1.2463214061903072, 1.249722415242188, 1.2522144060898286, 1.2539730876398645, 1.2551602544425386, 1.2559196826650862, 1.256374215594895, 1.2566241578955801, 1.2567470450198477, 1.2567987883414853, 1.2568161144038905, 1.2568201127014875, 1.2568205703005417, 1.2568205797664849 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.38801008818694166, 0.06471713568731269, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.425388

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D3fRTcw9zGtcxWFn7j2bEQU

null

false

null

false

DQaEVmnMPZsRro79TKoC36P

DV7VskbAWU3PJKUms7P599p

{"qi": 0.00280756296313414, "vacuum_well": -0.025274002652355146, "aspect_ratio": 8.082621107450894, "max_elongation": 6.399105522836112, "average_triangularity": 0.520576020075548, "axis_magnetic_mirror_ratio": 0.2621311443029155, "edge_magnetic_mirror_ratio": 0.33455660662727943, "aspect_ratio_over_edge_rotational_transform": 7.114867450199712, "flux_compression_in_regions_of_bad_curvature": 1.6938096782221375, "axis_rotational_transform_over_n_field_periods": 0.2747014156279389, "edge_rotational_transform_over_n_field_periods": 0.28400462707228713, "minimum_normalized_magnetic_gradient_scale_length": 5.575372736005818}

8.082621

7.114867

0.507191

0.262131

0.274701

0.334557

0.284005

1.69381

6.399106

5.575373

0.002808

-0.025274

{"r_cos":[[0.0,0.0,0.0,0.0,0.995111003424078,-0.013682645173929713,-0.017692831921294668,0.0034660051402244946,-0.0009709297255117507],[0.0006371763681528523,-0.0021996490174761465,-0.018448416124931952,-0.07499183801096787,0.2008483147580436,-0.035416972473977563,-0.0012516734467936177,-0.0007697287134149451,-0.0000918465314090669],[0.001591780428868731,0.0046300458732067,0.014308911646434736,0.021702831585367212,-0.034245501698189865,0.005522221542238347,0.0029436400661848336,-0.001859750769840014,0.00028914160955705417],[-0.00035761917411584473,-0.0007582947636700252,-0.001727081838961886,-0.0026972397599311438,-0.0012161982938755202,0.0015858233447216142,0.000035716392755231205,0.000573878449918067,-0.00024492271212570943],[-0.00001230760265075938,0.0002716938509484839,-0.0003295339940291407,-0.0002781810372393728,0.0005887080693468029,-0.00015071071385092203,0.00017509111170860078,-0.0000336355647485723,0.00004454041417116465]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.21091958318751383,0.017297376287916454,-0.003025480292082786,0.0013207169279601631],[-0.0009941008303770175,-0.001505412059620772,-0.02307123327186856,-0.07644570880260254,-0.091345874768311,0.029711996003547132,-0.0026899514955585294,0.001981531240448199,0.000034415462725740796],[0.0008895148502508786,0.0021579171530980027,0.011024097898085481,-0.004623823783405438,0.008956087841946445,-0.003415200899611175,-0.000635182951648848,0.0005150072409950564,-0.0002335364670995227],[-0.00029491313192731965,-0.0014053620314477152,-0.0030930351942542247,0.010284915874495665,0.0008137832938082108,-0.003353612590126941,-0.0001428811907847069,-0.00001992040747288799,0.000027042185057706263],[-0.00007581683348998215,0.00034892926097430336,0.0007097467190490439,-0.0016936575166482536,0.0005186466378388742,-0.0005865182925296844,0.0001586170545495758,-0.00011316308151504084,0.000030480304320873453]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.995111003424078, -0.013682645173929713, -0.017692831921294668, 0.0034660051402244946, -0.0009709297255117507 ], [ 0.0006371763681528523, -0.0021996490174761465, -0.018448416124931952, -0.07499183801096787, 0.2008483147580436, -0.035416972473977563, -0.0012516734467936177, -0.0007697287134149451, -0.0000918465314090669 ], [ 0.001591780428868731, 0.0046300458732067, 0.014308911646434736, 0.021702831585367212, -0.034245501698189865, 0.005522221542238347, 0.0029436400661848336, -0.001859750769840014, 0.00028914160955705417 ], [ -0.00035761917411584473, -0.0007582947636700252, -0.001727081838961886, -0.0026972397599311438, -0.0012161982938755202, 0.0015858233447216142, 0.000035716392755231205, 0.000573878449918067, -0.00024492271212570943 ], [ -0.00001230760265075938, 0.0002716938509484839, -0.0003295339940291407, -0.0002781810372393728, 0.0005887080693468029, -0.00015071071385092203, 0.00017509111170860078, -0.0000336355647485723, 0.00004454041417116465 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.21091958318751383, 0.017297376287916454, -0.003025480292082786, 0.0013207169279601631 ], [ -0.0009941008303770175, -0.001505412059620772, -0.02307123327186856, -0.07644570880260254, -0.091345874768311, 0.029711996003547132, -0.0026899514955585294, 0.001981531240448199, 0.000034415462725740796 ], [ 0.0008895148502508786, 0.0021579171530980027, 0.011024097898085481, -0.004623823783405438, 0.008956087841946445, -0.003415200899611175, -0.000635182951648848, 0.0005150072409950564, -0.0002335364670995227 ], [ -0.00029491313192731965, -0.0014053620314477152, -0.0030930351942542247, 0.010284915874495665, 0.0008137832938082108, -0.003353612590126941, -0.0001428811907847069, -0.00001992040747288799, 0.000027042185057706263 ], [ -0.00007581683348998215, 0.00034892926097430336, 0.0007097467190490439, -0.0016936575166482536, 0.0005186466378388742, -0.0005865182925296844, 0.0001586170545495758, -0.00011316308151504084, 0.000030480304320873453 ] ]

DZmeMhp9kQMZmv869zgFy6k

{"aspect_ratio": 7.266195780645936, "major_radius": 1.0, "max_elongation": 5.730002511935955, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1131474065466479, -0.07268081839189965, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.692106442367352, 0.6921280363367491, 0.6923564743718769, 0.6931234963685119, 0.6948007284203573, 0.697746705220527, 0.7022765507358442, 0.7086442520028412, 0.7170332302671202, 0.7275527622450366, 0.7402386447209846, 0.7550569545611572, 0.771910038726633, 0.7906440584427148, 0.8110575474281442, 0.8329105463094229, 0.8559339554431113, 0.8798388131558579, 0.9043252601710031, 0.92909099652974, 0.953839076541074, 0.978284921542858, 1.0021624604842725, 1.025229335251395, 1.0472711317774057, 1.0681046197061643, 1.087580003018253, 1.1055822018188826, 1.1220312016111107, 1.136881520978093, 1.1501208617838645, 1.1617680178552279, 1.171870128686121, 1.180499374047713, 1.187749213510381, 1.193730281786206, 1.1985660564611604, 1.2023884190610228, 1.2053332334143843, 1.2075360668382125, 1.2091281796332731, 1.2102329065397508, 1.2109625498910952, 1.21141589782547, 1.2116764715023534, 1.211811591975147, 1.2118723388455397, 1.2118944468081385, 1.211900148506325, 1.2119009139375327, 1.2119009345365859], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.0638945318014215}

7.266196

1

5.730003

[ [ 0.692106442367352, 0.6921280363367491, 0.6923564743718769, 0.6931234963685119, 0.6948007284203573, 0.697746705220527, 0.7022765507358442, 0.7086442520028412, 0.7170332302671202, 0.7275527622450366, 0.7402386447209846, 0.7550569545611572, 0.771910038726633, 0.7906440584427148, 0.8110575474281442, 0.8329105463094229, 0.8559339554431113, 0.8798388131558579, 0.9043252601710031, 0.92909099652974, 0.953839076541074, 0.978284921542858, 1.0021624604842725, 1.025229335251395, 1.0472711317774057, 1.0681046197061643, 1.087580003018253, 1.1055822018188826, 1.1220312016111107, 1.136881520978093, 1.1501208617838645, 1.1617680178552279, 1.171870128686121, 1.180499374047713, 1.187749213510381, 1.193730281786206, 1.1985660564611604, 1.2023884190610228, 1.2053332334143843, 1.2075360668382125, 1.2091281796332731, 1.2102329065397508, 1.2109625498910952, 1.21141589782547, 1.2116764715023534, 1.211811591975147, 1.2118723388455397, 1.2118944468081385, 1.211900148506325, 1.2119009139375327, 1.2119009345365859 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.1131474065466479, -0.07268081839189965, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.063895

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DjTYZAFY4mw59jZ4wKfcMoU

null

false

null

false

D23s7WLqpbcKgzNHhcSBZvT

DXG5aZyoGVeXp5nRdYTsD9g

{"qi": 0.0022966570913076547, "vacuum_well": -0.1328143238837389, "aspect_ratio": 9.970063096024726, "max_elongation": 5.660207513940279, "average_triangularity": -0.41871096212647935, "axis_magnetic_mirror_ratio": 0.24702886193481313, "edge_magnetic_mirror_ratio": 0.26072049241259637, "aspect_ratio_over_edge_rotational_transform": 18.405909712635026, "flux_compression_in_regions_of_bad_curvature": 1.3467773729733779, "axis_rotational_transform_over_n_field_periods": 0.15849228193206472, "edge_rotational_transform_over_n_field_periods": 0.13541931982286942, "minimum_normalized_magnetic_gradient_scale_length": 7.425889892412245}

9.970063

18.40591

-0.643213

0.247029

0.158492

0.26072

0.135419

1.346777

5.660208

7.42589

0.002297

-0.132814

{"r_cos":[[0.0,0.0,0.0,0.0,0.999600530486097,0.026833167618994555,-0.012525561129293126,-0.0025858837321771615,0.00014763117440791266],[-0.00036745897040028013,-0.0012854328560712224,-0.0107734247656933,-0.054242481912507114,0.11065083348812567,0.005784549619709568,-0.009276735573106553,-0.00035577976626732826,0.000291078217376117],[-0.00006541629710420139,-0.0002544585116207854,-0.00433360804959363,0.0003958662478958947,-0.009268919188164292,0.013635369647442145,-0.005590777699299902,0.0006137692497976243,0.00008017010893715739],[0.00033210366454015184,0.0011571087804942686,0.002497985288698039,-0.0016346318128884032,0.0017693268733738822,-0.0005792979569365188,-0.0005482557841308498,0.00013750506831013826,0.000041115238565384504],[-2.556960034305085e-6,-0.00008764000475821069,-0.00047150178149258905,0.0005487878809287243,-0.00017898886102373814,-0.00014141930909816573,-0.000014522470459731821,0.00017357522891611136,-0.00007556340932334945]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07538218696993425,0.0012314962829412454,0.002884402603790925,0.00020122911673865589],[-0.0003394619286170572,-0.002081059695269393,-0.010022264959910807,-0.07811911971156274,-0.14536167322226698,0.0426733894213727,-0.0004437291188229518,0.0002797452077706636,0.00008282409607067898],[-0.0001802831840840121,0.00031958094881215073,-0.0010350454126085782,0.006324197133216602,-0.04377318931150759,0.0154879329885677,0.0015370258141865019,-0.0012954059241142577,0.00020562783585753854],[0.00019520146685495405,0.0009381265357921076,0.00346484078636892,0.0020754473512919185,-0.009453504165491637,0.004818784062694097,0.0009010416581359912,-0.0007988327003451839,0.00010064307721892622],[-0.00014553681586133805,-0.00032247237455648985,-0.0003489054730061071,0.00021398864182337675,0.0005220709362306331,-0.00010038077039187829,0.00023747666226389393,-0.0002680913884361356,0.00012073723196500893]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.999600530486097, 0.026833167618994555, -0.012525561129293126, -0.0025858837321771615, 0.00014763117440791266 ], [ -0.00036745897040028013, -0.0012854328560712224, -0.0107734247656933, -0.054242481912507114, 0.11065083348812567, 0.005784549619709568, -0.009276735573106553, -0.00035577976626732826, 0.000291078217376117 ], [ -0.00006541629710420139, -0.0002544585116207854, -0.00433360804959363, 0.0003958662478958947, -0.009268919188164292, 0.013635369647442145, -0.005590777699299902, 0.0006137692497976243, 0.00008017010893715739 ], [ 0.00033210366454015184, 0.0011571087804942686, 0.002497985288698039, -0.0016346318128884032, 0.0017693268733738822, -0.0005792979569365188, -0.0005482557841308498, 0.00013750506831013826, 0.000041115238565384504 ], [ -0.000002556960034305085, -0.00008764000475821069, -0.00047150178149258905, 0.0005487878809287243, -0.00017898886102373814, -0.00014141930909816573, -0.000014522470459731821, 0.00017357522891611136, -0.00007556340932334945 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07538218696993425, 0.0012314962829412454, 0.002884402603790925, 0.00020122911673865589 ], [ -0.0003394619286170572, -0.002081059695269393, -0.010022264959910807, -0.07811911971156274, -0.14536167322226698, 0.0426733894213727, -0.0004437291188229518, 0.0002797452077706636, 0.00008282409607067898 ], [ -0.0001802831840840121, 0.00031958094881215073, -0.0010350454126085782, 0.006324197133216602, -0.04377318931150759, 0.0154879329885677, 0.0015370258141865019, -0.0012954059241142577, 0.00020562783585753854 ], [ 0.00019520146685495405, 0.0009381265357921076, 0.00346484078636892, 0.0020754473512919185, -0.009453504165491637, 0.004818784062694097, 0.0009010416581359912, -0.0007988327003451839, 0.00010064307721892622 ], [ -0.00014553681586133805, -0.00032247237455648985, -0.0003489054730061071, 0.00021398864182337675, 0.0005220709362306331, -0.00010038077039187829, 0.00023747666226389393, -0.0002680913884361356, 0.00012073723196500893 ] ]

DTMdg7qXrACfYP3hii8Niy9

{"aspect_ratio": 11.041398883694972, "major_radius": 1.0, "max_elongation": 5.374016843408679, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.11991883217753872, 0.05041803606072528, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.810648584560107, 0.8106485913614956, 0.810648884688649, 0.8106512883590931, 0.8106612885639268, 0.8106903536705246, 0.8107581239794338, 0.8108942858200446, 0.8111400126478455, 0.8115488992497443, 0.8121873464650313, 0.81313437800703, 0.8144808904794139, 0.8163283538844928, 0.81878699364295, 0.8219734969160027, 0.8260082961988846, 0.8310124919872595, 0.837104483982182, 0.8443963869212838, 0.8529903127947022, 0.862974605987392, 0.8744201218266731, 0.887376642128912, 0.9018695236397704, 0.9178966767410643, 0.9354259724314078, 0.9543931753389211, 0.974700499335902, 0.996215880120187, 1.01877305580335, 1.0421725419677121, 1.0661835816476513, 1.0905471430278944, 1.114980028032863, 1.1391801430089399, 1.162832967840151, 1.185619241353451, 1.2072238577367345, 1.2273459394422062, 1.2457100145181055, 1.262078177216774, 1.2762630448783852, 1.2881412329195399, 1.2976669383304014, 1.3048850225854796, 1.3099426609545217, 1.3130980494507747, 1.3147234972978525, 1.3152973611008307, 1.3153686591560532], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6559069827037698}

11.041399

1

5.374017

[ [ 0.810648584560107, 0.8106485913614956, 0.810648884688649, 0.8106512883590931, 0.8106612885639268, 0.8106903536705246, 0.8107581239794338, 0.8108942858200446, 0.8111400126478455, 0.8115488992497443, 0.8121873464650313, 0.81313437800703, 0.8144808904794139, 0.8163283538844928, 0.81878699364295, 0.8219734969160027, 0.8260082961988846, 0.8310124919872595, 0.837104483982182, 0.8443963869212838, 0.8529903127947022, 0.862974605987392, 0.8744201218266731, 0.887376642128912, 0.9018695236397704, 0.9178966767410643, 0.9354259724314078, 0.9543931753389211, 0.974700499335902, 0.996215880120187, 1.01877305580335, 1.0421725419677121, 1.0661835816476513, 1.0905471430278944, 1.114980028032863, 1.1391801430089399, 1.162832967840151, 1.185619241353451, 1.2072238577367345, 1.2273459394422062, 1.2457100145181055, 1.262078177216774, 1.2762630448783852, 1.2881412329195399, 1.2976669383304014, 1.3048850225854796, 1.3099426609545217, 1.3130980494507747, 1.3147234972978525, 1.3152973611008307, 1.3153686591560532 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.11991883217753872, 0.05041803606072528, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.655907

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DR4ozBNLiqBMesDCJKxQcTK

null

false

null

false

DBfbArfSaMoVDVqMN38Hpv5

DKBsGRAZi97UJ9xyEYaho5L

{"qi": 0.009028226764670516, "vacuum_well": 0.02815483912693947, "aspect_ratio": 9.201517373794173, "max_elongation": 3.8101334524806942, "average_triangularity": 0.4069992784306957, "axis_magnetic_mirror_ratio": 0.2368540051610909, "edge_magnetic_mirror_ratio": 0.31123881639358975, "aspect_ratio_over_edge_rotational_transform": 40.54839003342582, "flux_compression_in_regions_of_bad_curvature": 0.6253498485664142, "axis_rotational_transform_over_n_field_periods": 0.1984333667936638, "edge_rotational_transform_over_n_field_periods": 0.2269268241281333, "minimum_normalized_magnetic_gradient_scale_length": 0.011148337548512521}

9.201517

40.54839

0.316516

0.236854

0.198433

0.311239

0.226927

0.62535

3.810133

0.011148

0.009028

0.028155

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0125692528219548,-0.212278730855887,-0.0019254430903312722,0.01305229951235385],[0.005808718310111705,-0.024063615159102124,0.04580082035024426,-0.018251473278445337,0.10745683239299887,-0.025151775360867244,0.001043704841296303,0.002743275374115504,-0.0008294590753395513],[-0.0008840553519054598,-0.00222341979868555,0.0012157693050849892,0.001636777890771318,-0.016113748657298484,0.002851404080294341,-0.00179385016626722,-0.001232136516591392,0.00034827296893089423],[-0.0016903466890416082,-0.0006241108987181327,-0.0033548110139261958,0.002653025710599082,0.0016477703764760736,-0.002441217066635878,-0.0005242224562277231,0.000043147463659160815,0.0000756184402188212],[-0.0006543619979326423,0.0011351564957362817,-0.00019171539647263848,-0.00016930481081939416,0.0002752142360135934,0.00008884331865173295,-0.0000803680509960541,0.00013032444339528492,0.00008644757612012325]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0008049421437658823,0.010740804563828473,0.0032190364438333097,-0.001585744352183234],[0.0039685222533126525,-0.012865637397561467,0.05113361456531611,0.0026167903153950646,-0.12420777786904408,0.0012049820307841728,0.003365203068556085,-0.0021113583610036894,0.0009311793908048679],[-0.001068437695970249,-0.0013655442725573654,0.01245914188887932,-0.0025475321863682315,0.01536620352563399,0.0012883455703546062,-0.0013161258773679756,0.0011517172309442971,-0.000015853268393569765],[0.0006404682480060442,0.00005526615054678559,0.00301474000972375,0.004566916399368681,-0.003302508709855511,-0.0014763783340066823,0.0005227655859874692,0.00003179803857411009,-0.000059633504757774386],[0.00012705423354083498,-0.00010449532552624619,0.0003264618509395119,-0.00001483713247250037,0.000026611444739230855,0.0001779296032811005,0.00006371547147773226,1.6374280018869274e-6,-0.00005900456800264972]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.0125692528219548, -0.212278730855887, -0.0019254430903312722, 0.01305229951235385 ], [ 0.005808718310111705, -0.024063615159102124, 0.04580082035024426, -0.018251473278445337, 0.10745683239299887, -0.025151775360867244, 0.001043704841296303, 0.002743275374115504, -0.0008294590753395513 ], [ -0.0008840553519054598, -0.00222341979868555, 0.0012157693050849892, 0.001636777890771318, -0.016113748657298484, 0.002851404080294341, -0.00179385016626722, -0.001232136516591392, 0.00034827296893089423 ], [ -0.0016903466890416082, -0.0006241108987181327, -0.0033548110139261958, 0.002653025710599082, 0.0016477703764760736, -0.002441217066635878, -0.0005242224562277231, 0.000043147463659160815, 0.0000756184402188212 ], [ -0.0006543619979326423, 0.0011351564957362817, -0.00019171539647263848, -0.00016930481081939416, 0.0002752142360135934, 0.00008884331865173295, -0.0000803680509960541, 0.00013032444339528492, 0.00008644757612012325 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0008049421437658823, 0.010740804563828473, 0.0032190364438333097, -0.001585744352183234 ], [ 0.0039685222533126525, -0.012865637397561467, 0.05113361456531611, 0.0026167903153950646, -0.12420777786904408, 0.0012049820307841728, 0.003365203068556085, -0.0021113583610036894, 0.0009311793908048679 ], [ -0.001068437695970249, -0.0013655442725573654, 0.01245914188887932, -0.0025475321863682315, 0.01536620352563399, 0.0012883455703546062, -0.0013161258773679756, 0.0011517172309442971, -0.000015853268393569765 ], [ 0.0006404682480060442, 0.00005526615054678559, 0.00301474000972375, 0.004566916399368681, -0.003302508709855511, -0.0014763783340066823, 0.0005227655859874692, 0.00003179803857411009, -0.000059633504757774386 ], [ 0.00012705423354083498, -0.00010449532552624619, 0.0003264618509395119, -0.00001483713247250037, 0.000026611444739230855, 0.0001779296032811005, 0.00006371547147773226, 0.0000016374280018869274, -0.00005900456800264972 ] ]

DWFazTn8joYcSsciZVZvN9C

{"aspect_ratio": 9.017778744856603, "major_radius": 1.0, "max_elongation": 5.210211137796965, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.21491819098054482, 0.5184281806800359, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.7755811502699222, 0.7755818459018156, 0.7755960378681845, 0.7756681511864687, 0.7758797987237125, 0.7763467216756954, 0.7772120615011094, 0.7786378723644276, 0.7807959589892979, 0.7838587410993358, 0.787990621347597, 0.7933401853973225, 0.8000334569581872, 0.8081683509787225, 0.8178104061744051, 0.8289898285574815, 0.8416998374613943, 0.8558962726390029, 0.8714983939355393, 0.8883907827865807, 0.906426236635275, 0.9254295327567632, 0.9452019265091743, 0.9655262403842572, 0.9861723941634194, 1.0069032228088455, 1.027480427290461, 1.0476705042595862, 1.0672505032509454, 1.086013464874531, 1.1037734002199906, 1.1203696804341565, 1.1356707161658572, 1.1495768193447067, 1.1620221546430902, 1.1729757050659662, 1.1824411955630072, 1.1904559405523543, 1.197088606038547, 1.2024359049378606, 1.2066182757492874, 1.209774630455223, 1.2120562983811456, 1.213620339957556, 1.2146224598143287, 1.2152098153932482, 1.215514100298674, 1.215645389994798, 1.2156873895520812, 1.2156949626147602, 1.2156952860738985], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2347484475829005}

9.017779

1

5.210211

[ [ 0.7755811502699222, 0.7755818459018156, 0.7755960378681845, 0.7756681511864687, 0.7758797987237125, 0.7763467216756954, 0.7772120615011094, 0.7786378723644276, 0.7807959589892979, 0.7838587410993358, 0.787990621347597, 0.7933401853973225, 0.8000334569581872, 0.8081683509787225, 0.8178104061744051, 0.8289898285574815, 0.8416998374613943, 0.8558962726390029, 0.8714983939355393, 0.8883907827865807, 0.906426236635275, 0.9254295327567632, 0.9452019265091743, 0.9655262403842572, 0.9861723941634194, 1.0069032228088455, 1.027480427290461, 1.0476705042595862, 1.0672505032509454, 1.086013464874531, 1.1037734002199906, 1.1203696804341565, 1.1356707161658572, 1.1495768193447067, 1.1620221546430902, 1.1729757050659662, 1.1824411955630072, 1.1904559405523543, 1.197088606038547, 1.2024359049378606, 1.2066182757492874, 1.209774630455223, 1.2120562983811456, 1.213620339957556, 1.2146224598143287, 1.2152098153932482, 1.215514100298674, 1.215645389994798, 1.2156873895520812, 1.2156949626147602, 1.2156952860738985 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ -0.21491819098054482, 0.5184281806800359, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.234748

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DY2ta5E9csuJCYbR2WkVnRH

null

false

null

false

DiMdniy5gRLfcLb7K3J74GM

DjfLMXZR4wqRjxogMDTzg5y

{"qi": 0.018558763614778477, "vacuum_well": 0.01993758466375658, "aspect_ratio": 5.758575792221133, "max_elongation": 6.418113106092655, "average_triangularity": -0.4365129940966135, "axis_magnetic_mirror_ratio": 0.4369573528138343, "edge_magnetic_mirror_ratio": 0.49807280494037637, "aspect_ratio_over_edge_rotational_transform": 30.062209991891084, "flux_compression_in_regions_of_bad_curvature": 1.74190238943956, "axis_rotational_transform_over_n_field_periods": 0.17498561581827912, "edge_rotational_transform_over_n_field_periods": 0.09577765230457838, "minimum_normalized_magnetic_gradient_scale_length": 3.055073037834821}

5.758576

30.06221

-0.575701

0.436957

0.174986

0.498073

0.095778

1.741902

6.418113

3.055073

0.018559

0.019938

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.46682910788678206,-0.1251273883834678,-0.049645896338384246,0.007979908359403234],[-0.007641017540670203,0.02608055125677642,0.05454246327880675,-0.005748572709834752,0.14251421622618057,-0.011770478066175887,-0.010378181094629534,0.007294762626152557,-0.0010274793026056016],[0.00021010297485136705,-0.007886959898649272,0.007000611231381064,-0.002235627740992816,0.004525138137189938,-0.00474298171082349,-0.00517623891221352,0.0008239831955218282,-0.00017492931128920236],[-0.00001843540080908786,-0.00021556171409945358,-0.0005975095469815919,0.001031105199762123,0.0025671519072709217,-0.0012756277222339006,-0.001434933525725691,0.0010583423110892597,-0.00023735880237160727],[-0.00012026221691879846,-0.00020809682973760868,-0.000019258726138952703,-0.00003356095915153529,-0.000483020364290751,0.0005466589905194731,-0.00046501078296212273,0.0006825106270525507,-0.00008634488877085251]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.6619208473112737,0.13603205813620314,0.017296696187659652,0.017852359109008314],[0.014211420340617415,0.01513339860257892,0.05825364852107094,0.036227159543261805,-0.172339296006077,0.011025118146174627,-0.03644152158436871,0.00742116891838919,-0.003703267654658441],[-0.0033356736983033578,-0.0032537379925858144,-0.006994438692832514,0.010980646347843157,-0.01868018650082477,-0.002812735771608086,0.005353648388853237,0.0006186165190280068,0.0007208155728436205],[-0.000701586655053986,-0.00043167966899794057,-0.00021504484318463524,0.003190708408639004,-0.010409501446123664,0.003034906183592972,-0.0013234518420952484,0.0008659235703608753,-0.00013869865694591377],[0.00034140707157498504,-0.0004436058186539152,0.000285606360689759,0.0002608901712089542,-0.00008075067630328083,0.0007666613338318957,-0.00018398577817494116,0.00003256482022548604,-0.00016491873602891697]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.46682910788678206, -0.1251273883834678, -0.049645896338384246, 0.007979908359403234 ], [ -0.007641017540670203, 0.02608055125677642, 0.05454246327880675, -0.005748572709834752, 0.14251421622618057, -0.011770478066175887, -0.010378181094629534, 0.007294762626152557, -0.0010274793026056016 ], [ 0.00021010297485136705, -0.007886959898649272, 0.007000611231381064, -0.002235627740992816, 0.004525138137189938, -0.00474298171082349, -0.00517623891221352, 0.0008239831955218282, -0.00017492931128920236 ], [ -0.00001843540080908786, -0.00021556171409945358, -0.0005975095469815919, 0.001031105199762123, 0.0025671519072709217, -0.0012756277222339006, -0.001434933525725691, 0.0010583423110892597, -0.00023735880237160727 ], [ -0.00012026221691879846, -0.00020809682973760868, -0.000019258726138952703, -0.00003356095915153529, -0.000483020364290751, 0.0005466589905194731, -0.00046501078296212273, 0.0006825106270525507, -0.00008634488877085251 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.6619208473112737, 0.13603205813620314, 0.017296696187659652, 0.017852359109008314 ], [ 0.014211420340617415, 0.01513339860257892, 0.05825364852107094, 0.036227159543261805, -0.172339296006077, 0.011025118146174627, -0.03644152158436871, 0.00742116891838919, -0.003703267654658441 ], [ -0.0033356736983033578, -0.0032537379925858144, -0.006994438692832514, 0.010980646347843157, -0.01868018650082477, -0.002812735771608086, 0.005353648388853237, 0.0006186165190280068, 0.0007208155728436205 ], [ -0.000701586655053986, -0.00043167966899794057, -0.00021504484318463524, 0.003190708408639004, -0.010409501446123664, 0.003034906183592972, -0.0013234518420952484, 0.0008659235703608753, -0.00013869865694591377 ], [ 0.00034140707157498504, -0.0004436058186539152, 0.000285606360689759, 0.0002608901712089542, -0.00008075067630328083, 0.0007666613338318957, -0.00018398577817494116, 0.00003256482022548604, -0.00016491873602891697 ] ]

DGiFWMNPuoWYZqcRzKS9Hv3

{"aspect_ratio": 5.711335882023226, "major_radius": 1.0, "max_elongation": 6.332826707867872, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.18049006672304688, -0.16034632730348045, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.6453264572526572, 0.645443200461293, 0.6461401550319982, 0.6478192658086335, 0.650779174174891, 0.655240801858524, 0.6613607635129805, 0.6692406705556022, 0.6789343989579726, 0.6904541497553084, 0.7037757082578546, 0.718843127546788, 0.7355729730192453, 0.7538582163844905, 0.7735718391087683, 0.7945701876016258, 0.8166961108539706, 0.839781903347323, 0.8636520704868527, 0.8881259297599167, 0.9130200577895558, 0.9381505911212531, 0.9633353867419205, 0.9883960468403241, 1.0131598110784603, 1.0374613185819892, 1.061144240921092, 1.0840627864994876, 1.1060830759648126, 1.127084387468815, 1.1469602698135437, 1.1656195206927098, 1.1829870263463182, 1.1990044579577237, 1.2136308189943135, 1.2268428363734922, 1.2386351867548422, 1.2490205473217453, 1.2580294579865137, 1.2657099788360724, 1.2721271225365367, 1.2773620358789928, 1.2815108969422688, 1.2846834832385166, 1.287001349509941, 1.2885955274352234, 1.2896036149399759, 1.290166040884448, 1.2904211210431886, 1.290498096551913, 1.2905058032173122], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3500475085427925}

5.711336

1

6.332827

[ [ 0.6453264572526572, 0.645443200461293, 0.6461401550319982, 0.6478192658086335, 0.650779174174891, 0.655240801858524, 0.6613607635129805, 0.6692406705556022, 0.6789343989579726, 0.6904541497553084, 0.7037757082578546, 0.718843127546788, 0.7355729730192453, 0.7538582163844905, 0.7735718391087683, 0.7945701876016258, 0.8166961108539706, 0.839781903347323, 0.8636520704868527, 0.8881259297599167, 0.9130200577895558, 0.9381505911212531, 0.9633353867419205, 0.9883960468403241, 1.0131598110784603, 1.0374613185819892, 1.061144240921092, 1.0840627864994876, 1.1060830759648126, 1.127084387468815, 1.1469602698135437, 1.1656195206927098, 1.1829870263463182, 1.1990044579577237, 1.2136308189943135, 1.2268428363734922, 1.2386351867548422, 1.2490205473217453, 1.2580294579865137, 1.2657099788360724, 1.2721271225365367, 1.2773620358789928, 1.2815108969422688, 1.2846834832385166, 1.287001349509941, 1.2885955274352234, 1.2896036149399759, 1.290166040884448, 1.2904211210431886, 1.290498096551913, 1.2905058032173122 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.18049006672304688, -0.16034632730348045, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.350048

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DSep5i4zaPuq8ijA2Q6MjTf

null

false

null

false

Dk3LzqULwYSaSZgQWqkhfB5

DHMffJvxydW9UfFfEsn2gLF

{"qi": 0.0019668384298986382, "vacuum_well": -0.1641929334554182, "aspect_ratio": 9.37883365985708, "max_elongation": 6.972189372902513, "average_triangularity": -0.5412923289082153, "axis_magnetic_mirror_ratio": 0.3345058334789577, "edge_magnetic_mirror_ratio": 0.36991683259821956, "aspect_ratio_over_edge_rotational_transform": 19.69897771028778, "flux_compression_in_regions_of_bad_curvature": 1.7345996267271198, "axis_rotational_transform_over_n_field_periods": 0.2689482890639462, "edge_rotational_transform_over_n_field_periods": 0.47610763349201557, "minimum_normalized_magnetic_gradient_scale_length": 2.7853906641779895}

9.378834

19.698978

-0.645272

0.334506

0.268948

0.369917

0.476108

1.7346

6.972189

2.785391

0.001967

-0.164193

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.006981918134359518,-0.22718918712516606,-0.009804551054347561,0.018128309368662256],[0.010757742721962633,-0.0015231305402299785,0.05597458899586067,-0.013379054997245466,0.07870740243846323,-0.011794051811209598,-0.013437400601498832,0.0007882349668647464,-0.003484885799601589],[-0.020112248953428766,0.010661162480210304,0.013214591393206935,-0.0008219348809906915,-0.03304429098650323,-0.0021169247720189983,0.013252904508674874,0.0011755850367667865,-0.0033575208439302045],[0.0025518324130614197,-0.0008072202362987115,-0.0015493028956402588,-0.003679854994676857,0.0037273267752446007,-0.0005155530254538218,-0.00011922529168186132,-6.483910955870523e-6,-0.00021121684399598266],[0.00011604670112924691,-0.00007304294537871637,-0.00044492705609643475,-0.000042696087849908824,0.0005294399081051441,0.0001738526615844586,-0.00021569524527052325,-0.0001637063013306622,0.000020073455879129323]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.004052810944771579,0.09454493837725729,0.003067586777945241,-0.013745595400689134],[0.0186938879654586,-0.0019473190214412486,0.05013710180768445,0.0024257815267251437,-0.17080356104891842,0.015360696951386515,0.004230604807367904,-0.0009039095612760537,0.006517578325538568],[-0.02115138440422777,0.006025906528866219,-0.011146470508223618,0.003080376176585982,0.013399790472844703,-0.0019435359732627355,-0.009034444678874837,-0.0004036114893875486,0.0036164448982567796],[-0.00020689532459652513,0.0010361477566581045,-0.003750297193504632,-0.0004961783023520914,-0.001895900591075445,0.00042164533050587945,0.0011552878007138566,0.00020411223162829142,-0.000028926019149868283],[0.0004761521110814345,-0.00007469090739856611,-0.00023697166342739336,-0.00035949674376618184,-0.00010748805872906782,0.000013505124716195731,0.00018558278972053707,0.00017386513841146278,-0.00004761181969548025]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.006981918134359518, -0.22718918712516606, -0.009804551054347561, 0.018128309368662256 ], [ 0.010757742721962633, -0.0015231305402299785, 0.05597458899586067, -0.013379054997245466, 0.07870740243846323, -0.011794051811209598, -0.013437400601498832, 0.0007882349668647464, -0.003484885799601589 ], [ -0.020112248953428766, 0.010661162480210304, 0.013214591393206935, -0.0008219348809906915, -0.03304429098650323, -0.0021169247720189983, 0.013252904508674874, 0.0011755850367667865, -0.0033575208439302045 ], [ 0.0025518324130614197, -0.0008072202362987115, -0.0015493028956402588, -0.003679854994676857, 0.0037273267752446007, -0.0005155530254538218, -0.00011922529168186132, -0.000006483910955870523, -0.00021121684399598266 ], [ 0.00011604670112924691, -0.00007304294537871637, -0.00044492705609643475, -0.000042696087849908824, 0.0005294399081051441, 0.0001738526615844586, -0.00021569524527052325, -0.0001637063013306622, 0.000020073455879129323 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.004052810944771579, 0.09454493837725729, 0.003067586777945241, -0.013745595400689134 ], [ 0.0186938879654586, -0.0019473190214412486, 0.05013710180768445, 0.0024257815267251437, -0.17080356104891842, 0.015360696951386515, 0.004230604807367904, -0.0009039095612760537, 0.006517578325538568 ], [ -0.02115138440422777, 0.006025906528866219, -0.011146470508223618, 0.003080376176585982, 0.013399790472844703, -0.0019435359732627355, -0.009034444678874837, -0.0004036114893875486, 0.0036164448982567796 ], [ -0.00020689532459652513, 0.0010361477566581045, -0.003750297193504632, -0.0004961783023520914, -0.001895900591075445, 0.00042164533050587945, 0.0011552878007138566, 0.00020411223162829142, -0.000028926019149868283 ], [ 0.0004761521110814345, -0.00007469090739856611, -0.00023697166342739336, -0.00035949674376618184, -0.00010748805872906782, 0.000013505124716195731, 0.00018558278972053707, 0.00017386513841146278, -0.00004761181969548025 ] ]

DNiM83S282mFKuVpQPdenvt

{"aspect_ratio": 10.07778582599688, "major_radius": 1.0, "max_elongation": 6.364343020377697, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.42619222195748524, -0.03769936677283731, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.6898312490175367, 0.6898313527499798, 0.689834488938316, 0.6898549757804624, 0.6899271486012565, 0.6901110028047941, 0.6904949992910416, 0.6911963846102569, 0.6923593938275996, 0.6941517007477493, 0.6967594686908983, 0.7003813392120526, 0.7052216777211051, 0.7114833747807827, 0.7193604804459651, 0.7290309266793596, 0.7406495698443645, 0.7543417616802011, 0.7701976331098277, 0.7882672507934758, 0.808556781576992, 0.8310257749386388, 0.8555856482452001, 0.8820994341157571, 0.9103828234816163, 0.9402065120416861, 0.9712998317589571, 1.0033556228378457, 1.0360362752739427, 1.0689808425853091, 1.1018131037242855, 1.1341504224357428, 1.1656132264752868, 1.195834902131109, 1.2244718724063766, 1.2512136000139327, 1.2757922290081822, 1.2979915514241798, 1.3176549577014594, 1.3346920019254536, 1.3490831850007343, 1.3608825307454746, 1.3702175015163958, 1.3772857712613509, 1.382348344727893, 1.385718481716717, 1.3877458543649448, 1.3887953326806635, 1.3892197570981324, 1.389326011564433, 1.3893336358942854], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.19979710990939364}

10.077786

1

6.364343

[ [ 0.6898312490175367, 0.6898313527499798, 0.689834488938316, 0.6898549757804624, 0.6899271486012565, 0.6901110028047941, 0.6904949992910416, 0.6911963846102569, 0.6923593938275996, 0.6941517007477493, 0.6967594686908983, 0.7003813392120526, 0.7052216777211051, 0.7114833747807827, 0.7193604804459651, 0.7290309266793596, 0.7406495698443645, 0.7543417616802011, 0.7701976331098277, 0.7882672507934758, 0.808556781576992, 0.8310257749386388, 0.8555856482452001, 0.8820994341157571, 0.9103828234816163, 0.9402065120416861, 0.9712998317589571, 1.0033556228378457, 1.0360362752739427, 1.0689808425853091, 1.1018131037242855, 1.1341504224357428, 1.1656132264752868, 1.195834902131109, 1.2244718724063766, 1.2512136000139327, 1.2757922290081822, 1.2979915514241798, 1.3176549577014594, 1.3346920019254536, 1.3490831850007343, 1.3608825307454746, 1.3702175015163958, 1.3772857712613509, 1.382348344727893, 1.385718481716717, 1.3877458543649448, 1.3887953326806635, 1.3892197570981324, 1.389326011564433, 1.3893336358942854 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ 0.42619222195748524, -0.03769936677283731, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.199797

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D8pvnM59FwToTVjGRrf89Dh

null

false

null

false

DheCmziGft7ZbdTLeNpeMNH

DRW7cMQjJ8rH5WBSHT6YNhV

{"qi": 0.009448571573855253, "vacuum_well": -0.008721549502729343, "aspect_ratio": 9.626873702070469, "max_elongation": 5.1164763069907995, "average_triangularity": 0.28458657389433273, "axis_magnetic_mirror_ratio": 0.14346983533281843, "edge_magnetic_mirror_ratio": 0.1879454275139317, "aspect_ratio_over_edge_rotational_transform": 42.043878404620344, "flux_compression_in_regions_of_bad_curvature": 1.05920937549856, "axis_rotational_transform_over_n_field_periods": 0.23024131775356335, "edge_rotational_transform_over_n_field_periods": 0.228972066026443, "minimum_normalized_magnetic_gradient_scale_length": 3.8617827768036483}

9.626874

42.043878

0.202505

0.14347

0.230241

0.187945

0.228972

1.059209

5.116476

3.861783

0.009449

-0.008722

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.01802088554663408,-0.2415833888358789,0.0037741561688369096,0.02009111263669569],[0.004601416684153413,-0.020002228416197757,0.031920069586208924,-0.021955494467349512,0.07518381216519819,-0.02113386817998926,-0.0028449709748523504,0.002257354535433874,-0.0019230318333422433],[-0.0000709896148772888,0.0018851251780424376,-0.004922546129109562,0.00041996242897760123,-0.005770402305827545,0.0010379955289962217,0.0011370406520839387,0.0008931393471437466,0.00046449963751942836],[-0.00026384843328884926,0.0003265219010481725,0.0012230066326250773,-0.0021169794645174668,-0.001274574165364229,0.0003663310141864028,0.0003445817698552838,-0.0002572192844521411,-0.0005864612713739755],[0.00009999850365469147,-0.00014592263091226163,-0.0007480796744882596,0.0010315451824064277,-0.00024200901839259784,-0.0001109298664822783,0.00004437237241901792,-0.00003502111131325147,0.00007825395578574185]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.014473580083975037,0.05419258123536378,-0.007447475161768951,-0.009360522503105699],[0.008832612637471326,-0.018469773446333326,0.05213929473527258,-0.018686484294664754,-0.1729307810499178,-0.009208894712131741,-0.011080210179131755,-0.007405421377404657,0.00166332770781301],[-0.0009422942972402616,0.0011715650695569883,-0.0007222217087772252,-0.0015600443205448468,0.02433298635823656,0.013402325272071892,0.006834689791721707,0.0026291059566067336,0.0004484518805316155],[-0.0002703019417001263,0.0006096727424183534,-0.000576831546524485,-0.0022333453181437183,0.0027907311223850325,0.0019200142944922531,-0.0005345003211768117,-0.0007694577855267424,0.00016437989077110356],[-0.00005319828608602186,-0.00034634290867061393,0.0008276136940836372,0.0001229433761868469,-0.0005066508926003482,0.000267301810079561,-0.00008734031234829278,0.00007567155694425992,-0.00001001770611234364]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.01802088554663408, -0.2415833888358789, 0.0037741561688369096, 0.02009111263669569 ], [ 0.004601416684153413, -0.020002228416197757, 0.031920069586208924, -0.021955494467349512, 0.07518381216519819, -0.02113386817998926, -0.0028449709748523504, 0.002257354535433874, -0.0019230318333422433 ], [ -0.0000709896148772888, 0.0018851251780424376, -0.004922546129109562, 0.00041996242897760123, -0.005770402305827545, 0.0010379955289962217, 0.0011370406520839387, 0.0008931393471437466, 0.00046449963751942836 ], [ -0.00026384843328884926, 0.0003265219010481725, 0.0012230066326250773, -0.0021169794645174668, -0.001274574165364229, 0.0003663310141864028, 0.0003445817698552838, -0.0002572192844521411, -0.0005864612713739755 ], [ 0.00009999850365469147, -0.00014592263091226163, -0.0007480796744882596, 0.0010315451824064277, -0.00024200901839259784, -0.0001109298664822783, 0.00004437237241901792, -0.00003502111131325147, 0.00007825395578574185 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.014473580083975037, 0.05419258123536378, -0.007447475161768951, -0.009360522503105699 ], [ 0.008832612637471326, -0.018469773446333326, 0.05213929473527258, -0.018686484294664754, -0.1729307810499178, -0.009208894712131741, -0.011080210179131755, -0.007405421377404657, 0.00166332770781301 ], [ -0.0009422942972402616, 0.0011715650695569883, -0.0007222217087772252, -0.0015600443205448468, 0.02433298635823656, 0.013402325272071892, 0.006834689791721707, 0.0026291059566067336, 0.0004484518805316155 ], [ -0.0002703019417001263, 0.0006096727424183534, -0.000576831546524485, -0.0022333453181437183, 0.0027907311223850325, 0.0019200142944922531, -0.0005345003211768117, -0.0007694577855267424, 0.00016437989077110356 ], [ -0.00005319828608602186, -0.00034634290867061393, 0.0008276136940836372, 0.0001229433761868469, -0.0005066508926003482, 0.000267301810079561, -0.00008734031234829278, 0.00007567155694425992, -0.00001001770611234364 ] ]

DUwjYn29ZP68XXBJKabACwt

{"aspect_ratio": 9.516403461705295, "major_radius": 1.0, "max_elongation": 4.4439173362229765, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.10501748684532149, 0.36282553493195807, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.8444326710786882, 0.8444330668069207, 0.8444425561810034, 0.8444954135227067, 0.8446597703105339, 0.8450365635789487, 0.8457533299360823, 0.8469552211364648, 0.8487948178584896, 0.8514218472399628, 0.8549735835928848, 0.8595664680990028, 0.8652892939382602, 0.8721981531485599, 0.8803132215273858, 0.8896173621632304, 0.9000564525974954, 0.911541282108569, 0.9239508218090942, 0.9371366392446713, 0.9509282093861561, 0.9651388639553823, 0.9795721197199732, 0.9940281326664344, 1.0083100378364636, 1.0222299531866188, 1.0356144492595156, 1.048309313931855, 1.060183472259841, 1.0711319547289169, 1.0810778423019258, 1.089973152827732, 1.0977986699049598, 1.1045627514750596, 1.1102991905196866, 1.115064233519321, 1.1189328930313658, 1.1219947180743581, 1.124349209127129, 1.1261010825796967, 1.12735560144571, 1.1282141940063497, 1.1287705786124, 1.1291075997501943, 1.1292949560394452, 1.1293879630427388, 1.1294274399717064, 1.1294407358682477, 1.1294438119713666, 1.1294441629814806, 1.1294441701390174], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2869820639544851}

9.516403

1

4.443917

[ [ 0.8444326710786882, 0.8444330668069207, 0.8444425561810034, 0.8444954135227067, 0.8446597703105339, 0.8450365635789487, 0.8457533299360823, 0.8469552211364648, 0.8487948178584896, 0.8514218472399628, 0.8549735835928848, 0.8595664680990028, 0.8652892939382602, 0.8721981531485599, 0.8803132215273858, 0.8896173621632304, 0.9000564525974954, 0.911541282108569, 0.9239508218090942, 0.9371366392446713, 0.9509282093861561, 0.9651388639553823, 0.9795721197199732, 0.9940281326664344, 1.0083100378364636, 1.0222299531866188, 1.0356144492595156, 1.048309313931855, 1.060183472259841, 1.0711319547289169, 1.0810778423019258, 1.089973152827732, 1.0977986699049598, 1.1045627514750596, 1.1102991905196866, 1.115064233519321, 1.1189328930313658, 1.1219947180743581, 1.124349209127129, 1.1261010825796967, 1.12735560144571, 1.1282141940063497, 1.1287705786124, 1.1291075997501943, 1.1292949560394452, 1.1293879630427388, 1.1294274399717064, 1.1294407358682477, 1.1294438119713666, 1.1294441629814806, 1.1294441701390174 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ 0.10501748684532149, 0.36282553493195807, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.286982

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DH6U7axQzP6MxxSHhNLmsGg

null

false

null

false

DGpszFWiMbHLjpqx3XUudxf

DggaWEqtHmaiV3FShpzLDTD

{"qi": 0.015097338211441652, "vacuum_well": -0.4122374952297062, "aspect_ratio": 5.875885681323563, "max_elongation": 5.18624554664651, "average_triangularity": 0.008488203441854275, "axis_magnetic_mirror_ratio": 0.7249960378984995, "edge_magnetic_mirror_ratio": 0.8720386593431606, "aspect_ratio_over_edge_rotational_transform": 4.177987475938698, "flux_compression_in_regions_of_bad_curvature": 1.1639524076819525, "axis_rotational_transform_over_n_field_periods": 0.3234881408786488, "edge_rotational_transform_over_n_field_periods": 0.46879713539618223, "minimum_normalized_magnetic_gradient_scale_length": 2.023548065881096}

5.875886

4.177987

-0.02163

0.724996

0.323488

0.872039

0.468797

1.163952

5.186246

2.023548

0.015097

-0.412237

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.006179518307449038,-0.027132680562790716,-0.005107306524933027,0.002541032838566269],[-0.008850155101489496,0.011589171724854713,0.08421284099045899,-0.0414369620126778,0.17073709520183405,-0.04349465431204712,0.018125389416065243,-0.00552827507657009,-0.004676819630477886],[-0.00192599964298303,-0.0025914682542059067,-0.002331222546318126,-0.007730410375914825,-0.010408849549712725,0.009152669480142673,-0.012076913608552758,0.006770094598818014,-0.002969299221511618],[-0.0006443590817918795,-0.000724008301406812,0.0031983172965229473,-0.0026980674042137646,0.0034603034868074325,0.0048637158343863285,-0.0021294470387936038,0.0016322432109279448,0.00009438330533280686],[-0.0009941208572754254,0.0005204884365413048,0.0004488049934219594,-0.002630061977089089,0.004590593677097558,-0.0045970635672721,0.003028913179502096,-0.0010135442703732614,0.00025474094986996495]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.022203065511758643,0.013148280363547912,0.004509709943537607,-0.0019659919563310545],[-0.0030393441870959987,0.003970476816083984,0.08933396546176131,0.028935257759108973,-0.191372632936606,0.026324953810174776,-0.002846177669668229,-0.005491651625668767,0.0018040452014077557],[0.0019759125749697812,-0.0006826862450982083,0.0017824858964367112,0.00027694118121720417,0.0013951889964152204,-0.005793018121964828,0.006569670675037002,-0.005841979341192559,0.0017865014344303188],[-0.005066680615379789,0.00156959851299118,0.006734301267452303,0.0031867681724031243,-0.006276645481972096,-0.0014242730526957965,0.0019811065422009355,-0.001138064212074227,-0.00042812069477766784],[-0.0015608394127579837,0.0032668965132473674,0.0003451317271142302,0.004888784595918887,-0.006217967281276782,0.00552772407282659,-0.002967824824495738,0.00009711177465322393,0.0001528039603623313]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.006179518307449038, -0.027132680562790716, -0.005107306524933027, 0.002541032838566269 ], [ -0.008850155101489496, 0.011589171724854713, 0.08421284099045899, -0.0414369620126778, 0.17073709520183405, -0.04349465431204712, 0.018125389416065243, -0.00552827507657009, -0.004676819630477886 ], [ -0.00192599964298303, -0.0025914682542059067, -0.002331222546318126, -0.007730410375914825, -0.010408849549712725, 0.009152669480142673, -0.012076913608552758, 0.006770094598818014, -0.002969299221511618 ], [ -0.0006443590817918795, -0.000724008301406812, 0.0031983172965229473, -0.0026980674042137646, 0.0034603034868074325, 0.0048637158343863285, -0.0021294470387936038, 0.0016322432109279448, 0.00009438330533280686 ], [ -0.0009941208572754254, 0.0005204884365413048, 0.0004488049934219594, -0.002630061977089089, 0.004590593677097558, -0.0045970635672721, 0.003028913179502096, -0.0010135442703732614, 0.00025474094986996495 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.022203065511758643, 0.013148280363547912, 0.004509709943537607, -0.0019659919563310545 ], [ -0.0030393441870959987, 0.003970476816083984, 0.08933396546176131, 0.028935257759108973, -0.191372632936606, 0.026324953810174776, -0.002846177669668229, -0.005491651625668767, 0.0018040452014077557 ], [ 0.0019759125749697812, -0.0006826862450982083, 0.0017824858964367112, 0.00027694118121720417, 0.0013951889964152204, -0.005793018121964828, 0.006569670675037002, -0.005841979341192559, 0.0017865014344303188 ], [ -0.005066680615379789, 0.00156959851299118, 0.006734301267452303, 0.0031867681724031243, -0.006276645481972096, -0.0014242730526957965, 0.0019811065422009355, -0.001138064212074227, -0.00042812069477766784 ], [ -0.0015608394127579837, 0.0032668965132473674, 0.0003451317271142302, 0.004888784595918887, -0.006217967281276782, 0.00552772407282659, -0.002967824824495738, 0.00009711177465322393, 0.0001528039603623313 ] ]

DRRAdyPxoaErzyW3j8KJXyQ

{"aspect_ratio": 5.362593472543061, "major_radius": 1.0, "max_elongation": 4.100305626501854, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05290908966274859, 0.5046818419870974, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.8657340153055496, 0.8658585601392672, 0.866491815384303, 0.8678646946778592, 0.8700997349845518, 0.8732531331348445, 0.8773342284514869, 0.8823177655412116, 0.8881526404345426, 0.8947685742946674, 0.9020814143782647, 0.9099974503942584, 0.9184169830585118, 0.9272372999980352, 0.9363551665269063, 0.9456689092776318, 0.955080151432359, 0.9644952452524247, 0.9738264384565809, 0.9829928043993226, 0.9919209611251112, 1.0005456006977158, 1.0088098473831677, 1.0166654610692558, 1.0240729005752194, 1.0310012601308187, 1.0374280912045792, 1.0433391209789145, 1.048727878062779, 1.0535952354692322, 1.0579488804428732, 1.06180272038375, 1.0651762338682143, 1.0680937756054394, 1.0705838440866442, 1.0726783206814863, 1.07441168901502, 1.0758202436253572, 1.0769412971676877, 1.0778123958118355, 1.07847055300389, 1.0789515124663487, 1.0792890522539964, 1.0795143429548457, 1.0796553748717779, 1.0797364714848605, 1.0797779101130889, 1.079795676316275, 1.0798013880534925, 1.079802443730093, 1.0798024918436526], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6840970425121118}

5.362593

1

4.100306

[ [ 0.8657340153055496, 0.8658585601392672, 0.866491815384303, 0.8678646946778592, 0.8700997349845518, 0.8732531331348445, 0.8773342284514869, 0.8823177655412116, 0.8881526404345426, 0.8947685742946674, 0.9020814143782647, 0.9099974503942584, 0.9184169830585118, 0.9272372999980352, 0.9363551665269063, 0.9456689092776318, 0.955080151432359, 0.9644952452524247, 0.9738264384565809, 0.9829928043993226, 0.9919209611251112, 1.0005456006977158, 1.0088098473831677, 1.0166654610692558, 1.0240729005752194, 1.0310012601308187, 1.0374280912045792, 1.0433391209789145, 1.048727878062779, 1.0535952354692322, 1.0579488804428732, 1.06180272038375, 1.0651762338682143, 1.0680937756054394, 1.0705838440866442, 1.0726783206814863, 1.07441168901502, 1.0758202436253572, 1.0769412971676877, 1.0778123958118355, 1.07847055300389, 1.0789515124663487, 1.0792890522539964, 1.0795143429548457, 1.0796553748717779, 1.0797364714848605, 1.0797779101130889, 1.079795676316275, 1.0798013880534925, 1.079802443730093, 1.0798024918436526 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.05290908966274859, 0.5046818419870974, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.684097

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DLHL65PvJH4VoXuNUkBZXoi

null

false

null

false

DAXASPdyf6fwNp6uYPxbxfD

DFDK3JTSZipk8QjXN3ouCtX

{"qi": 0.006556611516741049, "vacuum_well": -0.15968217971532359, "aspect_ratio": 7.467165570842037, "max_elongation": 3.205909677141088, "average_triangularity": 0.35624319343407085, "axis_magnetic_mirror_ratio": 0.4221718964580732, "edge_magnetic_mirror_ratio": 0.6709706980661331, "aspect_ratio_over_edge_rotational_transform": 8.38932816323286, "flux_compression_in_regions_of_bad_curvature": 0.944486545730779, "axis_rotational_transform_over_n_field_periods": 0.2024540230584765, "edge_rotational_transform_over_n_field_periods": 0.17801581784743387, "minimum_normalized_magnetic_gradient_scale_length": 3.886354548307915}

7.467166

8.389328

0.201121

0.422172

0.202454

0.670971

0.178016

0.944487

3.20591

3.886355

0.006557

-0.159682

{"r_cos":[[0.0,0.0,0.0,0.0,0.993765801569111,0.015343408649410974,0.0013352483649949928,-0.004562317448826466,-0.001600135850887819],[-0.002065311114336014,0.0028810359276621334,-0.0013289506548584819,-0.06357753067687714,0.15339730070025157,-0.02124763352980395,-0.00018450543460611863,0.0011733579801124574,-0.000012337901313596092],[-0.0008229444152364853,-0.001253765592260368,-0.0021817001818170614,0.01795656435679501,-0.0009011456253242055,-0.006820885068182981,0.0014746149456938288,0.0005917058108701736,0.00030809863315170135],[0.000015111888118715476,-0.001579980250614353,-0.00012154229473991312,-0.00019351403870909527,0.00047640423280319256,0.0027828048052578377,-0.005582324302803709,0.0006612518278734962,0.0004806816304953011],[0.0008697679274832569,-0.00014376912351195113,0.0004893819401346508,-0.00040079177835502426,0.0001628865593468979,0.00022867366686078793,-0.0015701609966107138,0.00024065042448428677,-9.487214975804762e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1634416666227981,0.01592750443127644,-0.0035342853818928805,-0.00013283569410332298],[0.0007128807532027958,0.0033636235148187922,-0.01756920052161154,-0.05129514525855472,-0.12700709000063432,0.036782359071466486,0.0032186174313093042,0.005407374910506497,-0.0019144069682372525],[-0.002517564257251719,0.0025187720643693864,0.009650788478452339,-0.002229516705888983,0.011108537313909941,-0.0026638938436387735,0.01103169394279358,-0.0008767189520667266,0.0003668031270951111],[-0.00228195907698744,0.0010389769048250942,-0.003522195472699001,0.0022929797088746665,0.007230160091860896,-0.001228072177790257,0.005837495388169407,-0.0019333411118472475,-0.0006799926839962292],[-0.0005072821057318428,0.0017460874446740696,-0.004607478969528389,0.00592259354888101,-0.002491603983542113,0.0017963041559014778,0.00031327764777957633,-0.0005415182593737252,-0.0002103238874645657]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.993765801569111, 0.015343408649410974, 0.0013352483649949928, -0.004562317448826466, -0.001600135850887819 ], [ -0.002065311114336014, 0.0028810359276621334, -0.0013289506548584819, -0.06357753067687714, 0.15339730070025157, -0.02124763352980395, -0.00018450543460611863, 0.0011733579801124574, -0.000012337901313596092 ], [ -0.0008229444152364853, -0.001253765592260368, -0.0021817001818170614, 0.01795656435679501, -0.0009011456253242055, -0.006820885068182981, 0.0014746149456938288, 0.0005917058108701736, 0.00030809863315170135 ], [ 0.000015111888118715476, -0.001579980250614353, -0.00012154229473991312, -0.00019351403870909527, 0.00047640423280319256, 0.0027828048052578377, -0.005582324302803709, 0.0006612518278734962, 0.0004806816304953011 ], [ 0.0008697679274832569, -0.00014376912351195113, 0.0004893819401346508, -0.00040079177835502426, 0.0001628865593468979, 0.00022867366686078793, -0.0015701609966107138, 0.00024065042448428677, -0.000009487214975804762 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1634416666227981, 0.01592750443127644, -0.0035342853818928805, -0.00013283569410332298 ], [ 0.0007128807532027958, 0.0033636235148187922, -0.01756920052161154, -0.05129514525855472, -0.12700709000063432, 0.036782359071466486, 0.0032186174313093042, 0.005407374910506497, -0.0019144069682372525 ], [ -0.002517564257251719, 0.0025187720643693864, 0.009650788478452339, -0.002229516705888983, 0.011108537313909941, -0.0026638938436387735, 0.01103169394279358, -0.0008767189520667266, 0.0003668031270951111 ], [ -0.00228195907698744, 0.0010389769048250942, -0.003522195472699001, 0.0022929797088746665, 0.007230160091860896, -0.001228072177790257, 0.005837495388169407, -0.0019333411118472475, -0.0006799926839962292 ], [ -0.0005072821057318428, 0.0017460874446740696, -0.004607478969528389, 0.00592259354888101, -0.002491603983542113, 0.0017963041559014778, 0.00031327764777957633, -0.0005415182593737252, -0.0002103238874645657 ] ]

DX9Zpu6VPYF5wfnCdaLLBvm

{"aspect_ratio": 7.3896528554268555, "major_radius": 1.0, "max_elongation": 5.347902188734603, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1991534822009862, 0.17690552245166036, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7426541900058587, 0.7426658280316758, 0.7427959296068506, 0.7432499968057382, 0.7442735440520586, 0.7461186151571695, 0.7490224771861445, 0.7531934298211144, 0.7588015458899341, 0.765973085844883, 0.7747877490244766, 0.7852781521316463, 0.7974310641256579, 0.8111900188850076, 0.8264589923550715, 0.8431068797206972, 0.8609725461996589, 0.8798702557719419, 0.8995953076954646, 0.9199297324194123, 0.9406479174466261, 0.9615220504843094, 0.9823272823377931, 1.0028465257991301, 1.0228748195276556, 1.0422231978188443, 1.0607220183724686, 1.0782237108309107, 1.0946049190700191, 1.1097680200773798, 1.1236420118233208, 1.1361827718863764, 1.147372697799697, 1.1572197491969258, 1.16575592091358, 1.17303518530268, 1.179130951215392, 1.1841330964505545, 1.1881446400750555, 1.1912781309621665, 1.1936518393162419, 1.1953858490193887, 1.1965981605808123, 1.1974009276227955, 1.1978969646908544, 1.1981766815021047, 1.1983156198377376, 1.1983727964857507, 1.1983900936823686, 1.198392998594378, 1.1983931105462209], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.2045109048599019}

7.389653

1

5.347902

[ [ 0.7426541900058587, 0.7426658280316758, 0.7427959296068506, 0.7432499968057382, 0.7442735440520586, 0.7461186151571695, 0.7490224771861445, 0.7531934298211144, 0.7588015458899341, 0.765973085844883, 0.7747877490244766, 0.7852781521316463, 0.7974310641256579, 0.8111900188850076, 0.8264589923550715, 0.8431068797206972, 0.8609725461996589, 0.8798702557719419, 0.8995953076954646, 0.9199297324194123, 0.9406479174466261, 0.9615220504843094, 0.9823272823377931, 1.0028465257991301, 1.0228748195276556, 1.0422231978188443, 1.0607220183724686, 1.0782237108309107, 1.0946049190700191, 1.1097680200773798, 1.1236420118233208, 1.1361827718863764, 1.147372697799697, 1.1572197491969258, 1.16575592091358, 1.17303518530268, 1.179130951215392, 1.1841330964505545, 1.1881446400750555, 1.1912781309621665, 1.1936518393162419, 1.1953858490193887, 1.1965981605808123, 1.1974009276227955, 1.1978969646908544, 1.1981766815021047, 1.1983156198377376, 1.1983727964857507, 1.1983900936823686, 1.198392998594378, 1.1983931105462209 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.1991534822009862, 0.17690552245166036, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.204511

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DBWA7TEhHWcgQaT2vesoB8b

null

false

null

false

DfQhWgpGv8UqHpYH5oTXMJ2

DSBxDuREFDkTkiVFqJbphKE

{"qi": 0.005186916783638183, "vacuum_well": -0.14842457735240633, "aspect_ratio": 10.045452332465539, "max_elongation": 5.318117491626588, "average_triangularity": -0.2485706062539322, "axis_magnetic_mirror_ratio": 0.1500570669386977, "edge_magnetic_mirror_ratio": 0.239725711309727, "aspect_ratio_over_edge_rotational_transform": 19.979502182630302, "flux_compression_in_regions_of_bad_curvature": 1.138192185450504, "axis_rotational_transform_over_n_field_periods": 0.1157472886884561, "edge_rotational_transform_over_n_field_periods": 0.1256969798426561, "minimum_normalized_magnetic_gradient_scale_length": 9.263365114652393}

10.045452

19.979502

-0.462896

0.150057

0.115747

0.239726

0.125697

1.138192

5.318117

9.263365

0.005187

-0.148425

{"r_cos":[[0.0,0.0,0.0,0.0,0.9927929748392604,-0.07052080222518926,-0.006197803179053909,0.0025518923814538542,-0.00032253981109796933],[0.0008197411481003017,-0.006159258088579983,0.029963886515881277,-0.023380807290851745,-0.11063181431499211,0.011325376999462924,0.007602295597955078,0.001073522650005012,0.00017061235028142946],[0.00010455597829141727,0.0004214393363698196,0.0019463686629238957,-0.0039005621553563517,-0.006081360442579595,-0.0033397061606927634,-0.002584690066819348,-0.0013862293366618777,-0.00021772557760149945],[-0.0007005857421349183,0.0031213277244191177,-0.0028706748202592643,0.000709044967759503,-0.0017741017997737714,-0.0037353745442011616,-0.0017482609542227292,-0.0003542670582788617,-0.00007189421693671759],[-0.00018487882871227724,0.0007684979568507602,-0.0008039211041926055,0.0001629469978912658,-0.00055940209661807,-0.00010313333653693801,0.00028409364877705337,0.00019898198639225763,0.00007652788031155416]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.04461483234067856,-0.005518737748268307,-0.0007001442218563438,-0.00009202220847209699],[0.00008181828073179413,-0.0033491467462458645,0.023485308705614626,-0.09713753314006757,0.126534408921919,0.043957592333477076,0.005077871007179146,0.00027111098698073366,-0.000020771570609907152],[0.0006007087296840783,-0.002054586060693188,0.00277853224413161,0.007851198815145089,-0.026402053267971997,-0.017836941867099575,-0.005253117114118882,-0.0002602117279666161,0.00011065077075336023],[-0.00011496611750088326,0.0017876724969568335,-0.0039102308527059725,-0.0003329489454980891,-0.0002100956346279764,0.0029242585449876578,0.0024072481019236174,0.0006241034591539852,0.00007638704034992898],[-0.00017846638800142988,0.0006293404712228141,-0.00024731034714951117,-0.0004860205446080622,0.000587871452434319,-0.00008385813767864913,-0.0004479563533057078,-0.00023241352556215713,-0.00007712559405550328]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9927929748392604, -0.07052080222518926, -0.006197803179053909, 0.0025518923814538542, -0.00032253981109796933 ], [ 0.0008197411481003017, -0.006159258088579983, 0.029963886515881277, -0.023380807290851745, -0.11063181431499211, 0.011325376999462924, 0.007602295597955078, 0.001073522650005012, 0.00017061235028142946 ], [ 0.00010455597829141727, 0.0004214393363698196, 0.0019463686629238957, -0.0039005621553563517, -0.006081360442579595, -0.0033397061606927634, -0.002584690066819348, -0.0013862293366618777, -0.00021772557760149945 ], [ -0.0007005857421349183, 0.0031213277244191177, -0.0028706748202592643, 0.000709044967759503, -0.0017741017997737714, -0.0037353745442011616, -0.0017482609542227292, -0.0003542670582788617, -0.00007189421693671759 ], [ -0.00018487882871227724, 0.0007684979568507602, -0.0008039211041926055, 0.0001629469978912658, -0.00055940209661807, -0.00010313333653693801, 0.00028409364877705337, 0.00019898198639225763, 0.00007652788031155416 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.04461483234067856, -0.005518737748268307, -0.0007001442218563438, -0.00009202220847209699 ], [ 0.00008181828073179413, -0.0033491467462458645, 0.023485308705614626, -0.09713753314006757, 0.126534408921919, 0.043957592333477076, 0.005077871007179146, 0.00027111098698073366, -0.000020771570609907152 ], [ 0.0006007087296840783, -0.002054586060693188, 0.00277853224413161, 0.007851198815145089, -0.026402053267971997, -0.017836941867099575, -0.005253117114118882, -0.0002602117279666161, 0.00011065077075336023 ], [ -0.00011496611750088326, 0.0017876724969568335, -0.0039102308527059725, -0.0003329489454980891, -0.0002100956346279764, 0.0029242585449876578, 0.0024072481019236174, 0.0006241034591539852, 0.00007638704034992898 ], [ -0.00017846638800142988, 0.0006293404712228141, -0.00024731034714951117, -0.0004860205446080622, 0.000587871452434319, -0.00008385813767864913, -0.0004479563533057078, -0.00023241352556215713, -0.00007712559405550328 ] ]

DJiSrEbWaaiPmgzMjQmmtNc

{"aspect_ratio": 10.888122236994949, "major_radius": 1.0, "max_elongation": 5.159196733993454, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0037070543789292218, -0.04956145501488077, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.8521905615415367, 0.8521905647233299, 0.8521906965962033, 0.8521917582316823, 0.8521961433929125, 0.8522088753882953, 0.8522386512115131, 0.8522988291277734, 0.8524083153169232, 0.8525923164929704, 0.8528829330787608, 0.8533195732070868, 0.8539491723345978, 0.8548262070163808, 0.8560124946476184, 0.8575767738941038, 0.8595940632142771, 0.8621447974002243, 0.8653137444937348, 0.8691887078146932, 0.8738590202148464, 0.8794138400789577, 0.8859402610752949, 0.8935212502472963, 0.9022334317804364, 0.9121447367205963, 0.9233119421186129, 0.9357781265973738, 0.9495700732656679, 0.9646956553409175, 0.9811412449237836, 0.9988691912642256, 1.017815421799327, 1.037887227535245, 1.0589613044095447, 1.0808821346926647, 1.1034608081041193, 1.126474402348172, 1.1496660690354794, 1.1727460062511288, 1.1953935478029618, 1.217260668770801, 1.2379773100076084, 1.2571590836166737, 1.2744181813088145, 1.2893787598474837, 1.3016989332386337, 1.3111033089738606, 1.3174344798664124, 1.3207461620516776, 1.3215422375867645], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.49197452917403983}

10.888122

1

5.159197

[ [ 0.8521905615415367, 0.8521905647233299, 0.8521906965962033, 0.8521917582316823, 0.8521961433929125, 0.8522088753882953, 0.8522386512115131, 0.8522988291277734, 0.8524083153169232, 0.8525923164929704, 0.8528829330787608, 0.8533195732070868, 0.8539491723345978, 0.8548262070163808, 0.8560124946476184, 0.8575767738941038, 0.8595940632142771, 0.8621447974002243, 0.8653137444937348, 0.8691887078146932, 0.8738590202148464, 0.8794138400789577, 0.8859402610752949, 0.8935212502472963, 0.9022334317804364, 0.9121447367205963, 0.9233119421186129, 0.9357781265973738, 0.9495700732656679, 0.9646956553409175, 0.9811412449237836, 0.9988691912642256, 1.017815421799327, 1.037887227535245, 1.0589613044095447, 1.0808821346926647, 1.1034608081041193, 1.126474402348172, 1.1496660690354794, 1.1727460062511288, 1.1953935478029618, 1.217260668770801, 1.2379773100076084, 1.2571590836166737, 1.2744181813088145, 1.2893787598474837, 1.3016989332386337, 1.3111033089738606, 1.3174344798664124, 1.3207461620516776, 1.3215422375867645 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.0037070543789292218, -0.04956145501488077, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.491975

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DMKibs4i33gWdJMRg9YaCLr

null

false

null

false

D8mBEyhvM9WGwmKJ745frLp

Dd6aDdteoQ6vzs5NAgYJYJH

{"qi": 0.009582791229650651, "vacuum_well": -0.10110159089885848, "aspect_ratio": 9.96725170353972, "max_elongation": 4.412898036472189, "average_triangularity": -0.4038716088524372, "axis_magnetic_mirror_ratio": 0.12714988835052804, "edge_magnetic_mirror_ratio": 0.15539845126339025, "aspect_ratio_over_edge_rotational_transform": 24.44435196220957, "flux_compression_in_regions_of_bad_curvature": 1.1193082567446708, "axis_rotational_transform_over_n_field_periods": 0.19376590140380728, "edge_rotational_transform_over_n_field_periods": 0.20387637436551542, "minimum_normalized_magnetic_gradient_scale_length": 6.786658418658338}

9.967252

24.444352

-0.692857

0.12715

0.193766

0.155398

0.203876

1.119308

4.412898

6.786658

0.009583

-0.101102

{"r_cos":[[0.0,0.0,0.0,0.0,0.9926508449807864,-0.02420774000812509,-0.06862713949030412,0.0009636321182270089,0.00037401356465448666],[0.0016532017842727674,0.01403897324852198,0.02660863045847462,-0.015844730407627707,0.07661712396911308,-0.051003773267505784,-0.004496430322909669,0.00833264003661505,-0.0025213069423323945],[-0.0007155809539680208,-0.0031071318018008943,-0.005297189494756834,-0.0013038859369523554,-0.005182152481738745,0.008212608794625851,-0.004964003690021846,0.0027681751534326033,-0.0010796924432098238],[0.00111130214884037,0.0016731472017444916,0.0015713846690243072,-0.001964232950832899,-0.000723918749516578,-0.00045228786802449744,0.0018003997017227622,-0.0006981689801899933,-0.00018746696476504082],[-0.00019910057044221827,-0.00017723073959492172,-0.0004618582749541701,0.000372065239159493,-0.0009912687945669793,0.0006883314391364853,-0.00002652198771910461,-0.00019488399876829585,0.00007370281888732913]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1484698364033099,0.03427816716281343,-0.0006004897899017482,-0.0021641990077263086],[0.0010547252980334814,0.0013389336700574035,-0.010426403141849346,-0.10852082524287393,-0.10387989687859767,0.07423939423874873,-0.01381505801608825,-0.0020127510838048282,0.00012216347694783485],[-0.0005832785745269992,-0.0028606530733262508,-0.0070604175561203054,0.004597957108426675,-0.006448891703093596,0.008879367209480616,-0.004809398567296721,-0.000014851570240691008,-0.00017742972431591508],[0.0005145219736102907,0.0005799296644838777,-0.0021348699494376346,-0.003552512838362544,0.00038838082521645714,0.0038202493914754514,-0.005351865740685264,0.0016834583747081641,-0.00021911019291368384],[-0.00044089411957236617,-0.0005973187266835539,-0.00047159561623552956,0.0008413103511961363,0.0006503904290305128,-0.0013614272875422729,0.00011538287517464865,0.00034850936099556525,-0.00007561061233210455]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9926508449807864, -0.02420774000812509, -0.06862713949030412, 0.0009636321182270089, 0.00037401356465448666 ], [ 0.0016532017842727674, 0.01403897324852198, 0.02660863045847462, -0.015844730407627707, 0.07661712396911308, -0.051003773267505784, -0.004496430322909669, 0.00833264003661505, -0.0025213069423323945 ], [ -0.0007155809539680208, -0.0031071318018008943, -0.005297189494756834, -0.0013038859369523554, -0.005182152481738745, 0.008212608794625851, -0.004964003690021846, 0.0027681751534326033, -0.0010796924432098238 ], [ 0.00111130214884037, 0.0016731472017444916, 0.0015713846690243072, -0.001964232950832899, -0.000723918749516578, -0.00045228786802449744, 0.0018003997017227622, -0.0006981689801899933, -0.00018746696476504082 ], [ -0.00019910057044221827, -0.00017723073959492172, -0.0004618582749541701, 0.000372065239159493, -0.0009912687945669793, 0.0006883314391364853, -0.00002652198771910461, -0.00019488399876829585, 0.00007370281888732913 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1484698364033099, 0.03427816716281343, -0.0006004897899017482, -0.0021641990077263086 ], [ 0.0010547252980334814, 0.0013389336700574035, -0.010426403141849346, -0.10852082524287393, -0.10387989687859767, 0.07423939423874873, -0.01381505801608825, -0.0020127510838048282, 0.00012216347694783485 ], [ -0.0005832785745269992, -0.0028606530733262508, -0.0070604175561203054, 0.004597957108426675, -0.006448891703093596, 0.008879367209480616, -0.004809398567296721, -0.000014851570240691008, -0.00017742972431591508 ], [ 0.0005145219736102907, 0.0005799296644838777, -0.0021348699494376346, -0.003552512838362544, 0.00038838082521645714, 0.0038202493914754514, -0.005351865740685264, 0.0016834583747081641, -0.00021911019291368384 ], [ -0.00044089411957236617, -0.0005973187266835539, -0.00047159561623552956, 0.0008413103511961363, 0.0006503904290305128, -0.0013614272875422729, 0.00011538287517464865, 0.00034850936099556525, -0.00007561061233210455 ] ]

DEdnwcGg8niyBCK5Ax8ibbJ

{"aspect_ratio": 11.240468617589979, "major_radius": 1.0, "max_elongation": 4.274222393354707, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.09430404581574038, 0.41201362769582683, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.8943641359848326, 0.8943641401283072, 0.8943643301476708, 0.8943659407748458, 0.8943727822923564, 0.8943929316578696, 0.8944403073824038, 0.8945359627806969, 0.8947089957724649, 0.8949970163847881, 0.8954461450405969, 0.8961105396099992, 0.897051469096204, 0.8983359679103868, 0.9000351177049875, 0.9022220141803003, 0.9049694845025474, 0.9083476272241503, 0.9124212510646943, 0.9172472917341525, 0.9228722872646575, 0.9293299921441753, 0.936639208975304, 0.9448019134589677, 0.9538017442557141, 0.9636029237237139, 0.9741496686776978, 0.9853661421506321, 0.9971569876517824, 1.0094084765699733, 1.0219902871240802, 1.0347579195521266, 1.047555736973883, 1.0602206044527602, 1.072586080082723, 1.0844870912554287, 1.0957650063872415, 1.1062729869953638, 1.1158814766912821, 1.1244836518394885, 1.1320006225137667, 1.1383861308254826, 1.1436304449898853, 1.147763088987322, 1.150853975049149, 1.1530124119818401, 1.1543833325860442, 1.1551398893520375, 1.1554712411215549, 1.15556369609384, 1.155571528897828], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.37860476479786365}

11.240469

1

4.274222

[ [ 0.8943641359848326, 0.8943641401283072, 0.8943643301476708, 0.8943659407748458, 0.8943727822923564, 0.8943929316578696, 0.8944403073824038, 0.8945359627806969, 0.8947089957724649, 0.8949970163847881, 0.8954461450405969, 0.8961105396099992, 0.897051469096204, 0.8983359679103868, 0.9000351177049875, 0.9022220141803003, 0.9049694845025474, 0.9083476272241503, 0.9124212510646943, 0.9172472917341525, 0.9228722872646575, 0.9293299921441753, 0.936639208975304, 0.9448019134589677, 0.9538017442557141, 0.9636029237237139, 0.9741496686776978, 0.9853661421506321, 0.9971569876517824, 1.0094084765699733, 1.0219902871240802, 1.0347579195521266, 1.047555736973883, 1.0602206044527602, 1.072586080082723, 1.0844870912554287, 1.0957650063872415, 1.1062729869953638, 1.1158814766912821, 1.1244836518394885, 1.1320006225137667, 1.1383861308254826, 1.1436304449898853, 1.147763088987322, 1.150853975049149, 1.1530124119818401, 1.1543833325860442, 1.1551398893520375, 1.1554712411215549, 1.15556369609384, 1.155571528897828 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ -0.09430404581574038, 0.41201362769582683, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.378605

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DXw9xHwGzC3Vv6DU3DGVxTt

null

false

null

false

DLW6o4TFR7vGv29N2b6x5Tu

DgyJfHRS4rPAB29ryeoKUSm

{"qi": 0.005681958550289427, "vacuum_well": -0.12069955118186258, "aspect_ratio": 10.05700451549926, "max_elongation": 5.511003392687663, "average_triangularity": -0.4400744377565008, "axis_magnetic_mirror_ratio": 0.1991739298665025, "edge_magnetic_mirror_ratio": 0.2573039278353084, "aspect_ratio_over_edge_rotational_transform": 19.369513177683963, "flux_compression_in_regions_of_bad_curvature": 1.2322839062794388, "axis_rotational_transform_over_n_field_periods": 0.2176690003813326, "edge_rotational_transform_over_n_field_periods": 0.25960911932175335, "minimum_normalized_magnetic_gradient_scale_length": 4.578365989378348}

10.057005

19.369513

-0.716332

0.199174

0.217669

0.257304

0.259609

1.232284

5.511003

4.578366

0.005682

-0.1207

{"r_cos":[[0.0,0.0,0.0,0.0,0.9936118057083544,-0.2010329836956961,-0.040789372593456566,0.023667109522156497,-0.0033394972801404476],[-0.0011250092937104233,-0.004189397256602584,0.04129575895240863,0.00085960366064914,0.07039712006524922,-0.043342941990484794,0.005992597252016264,0.0030191942691192098,0.002112517093512673],[-0.001137839475050992,0.0007745809140134387,-0.011694209494572722,-0.003227123603511318,-0.004005123611208501,0.0034532045473157275,-0.004528628033781535,0.0026520229049924802,-0.00037214641345086736],[0.0004169166865506374,0.00018602662400137845,0.0024201124779862212,-0.0021627453325031125,0.0001430925610534607,-0.004943328807503599,0.00005701457230247297,0.0008959332500533157,0.00017135098724482925],[-0.0003488178596201808,0.00036190432270328783,-0.00033789499675536806,0.0003826009926294989,0.0006530833887692543,0.00008571612802010537,0.000342289044296331,-0.00001010977426313617,-0.000060453642053316816]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.052311973472679074,0.037981071073619505,-0.008680518216086692,0.0018116350759108304],[-0.0006472739574578073,-0.0058740294202914494,0.04726975825321325,-0.07625682179448463,-0.1348829466757741,0.06789597269616622,-0.004926591257573366,0.004900709254315715,-0.0016491404364702652],[-0.0006174096505197255,0.0022301260266532306,-0.01746621518250688,0.004874175579734262,-0.0034842843510562017,0.010544273819600878,0.002038936101061521,-0.0023883838307937394,0.0008725747661888241],[-0.0000991636037018269,-0.00023702994699234683,0.0054623443543646896,-0.007507600709518413,-0.006494415678869944,0.01730880495494972,-0.0018133639303270304,8.914838554099439e-6,-0.00004133172220237028],[-0.0002769311505443088,4.676018275998208e-6,0.0010580564461794273,-0.0022399282369601967,0.002088744123207845,0.0025195549223276867,-0.002012679166309774,-0.00013848810044384693,0.00014555959833799348]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9936118057083544, -0.2010329836956961, -0.040789372593456566, 0.023667109522156497, -0.0033394972801404476 ], [ -0.0011250092937104233, -0.004189397256602584, 0.04129575895240863, 0.00085960366064914, 0.07039712006524922, -0.043342941990484794, 0.005992597252016264, 0.0030191942691192098, 0.002112517093512673 ], [ -0.001137839475050992, 0.0007745809140134387, -0.011694209494572722, -0.003227123603511318, -0.004005123611208501, 0.0034532045473157275, -0.004528628033781535, 0.0026520229049924802, -0.00037214641345086736 ], [ 0.0004169166865506374, 0.00018602662400137845, 0.0024201124779862212, -0.0021627453325031125, 0.0001430925610534607, -0.004943328807503599, 0.00005701457230247297, 0.0008959332500533157, 0.00017135098724482925 ], [ -0.0003488178596201808, 0.00036190432270328783, -0.00033789499675536806, 0.0003826009926294989, 0.0006530833887692543, 0.00008571612802010537, 0.000342289044296331, -0.00001010977426313617, -0.000060453642053316816 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.052311973472679074, 0.037981071073619505, -0.008680518216086692, 0.0018116350759108304 ], [ -0.0006472739574578073, -0.0058740294202914494, 0.04726975825321325, -0.07625682179448463, -0.1348829466757741, 0.06789597269616622, -0.004926591257573366, 0.004900709254315715, -0.0016491404364702652 ], [ -0.0006174096505197255, 0.0022301260266532306, -0.01746621518250688, 0.004874175579734262, -0.0034842843510562017, 0.010544273819600878, 0.002038936101061521, -0.0023883838307937394, 0.0008725747661888241 ], [ -0.0000991636037018269, -0.00023702994699234683, 0.0054623443543646896, -0.007507600709518413, -0.006494415678869944, 0.01730880495494972, -0.0018133639303270304, 0.000008914838554099439, -0.00004133172220237028 ], [ -0.0002769311505443088, 0.000004676018275998208, 0.0010580564461794273, -0.0022399282369601967, 0.002088744123207845, 0.0025195549223276867, -0.002012679166309774, -0.00013848810044384693, 0.00014555959833799348 ] ]

DXjkeU4LLGJgVhck4QbePbP

{"aspect_ratio": 10.605488496432045, "major_radius": 1.0, "max_elongation": 5.272605842054388, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.14240035725767264, -0.5470757612198169, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.7911787609015634, 0.7911787967425876, 0.7911800974226068, 0.791189591397741, 0.7912257130268356, 0.7913231729351714, 0.7915361140128843, 0.7919395407751714, 0.7926290829161511, 0.79371924561726, 0.7953403517282028, 0.7976344106508796, 0.8007501635810195, 0.8048375591501499, 0.8100419102034917, 0.8164979732617761, 0.8243241784179521, 0.8336172199466221, 0.8444471974679653, 0.8568534746732149, 0.870841397846289, 0.8863799900933247, 0.903400709653275, 0.9217973322050625, 0.9414269879798229, 0.9621123549817996, 0.9836449799584134, 1.0057896691733428, 1.028289861760652, 1.0508738697130866, 1.073261840634777, 1.0951732725364112, 1.1163348844630951, 1.136488622949403, 1.1553995625663367, 1.172863439596332, 1.188713541663074, 1.202826663582961, 1.215127831579543, 1.2255934953135124, 1.2342528912440909, 1.241187293431596, 1.2465268915044296, 1.250445073769141, 1.2531499518623135, 1.2548730508331918, 1.2558552205026392, 1.2563300294931945, 1.2565052447553064, 1.256543636590739, 1.256545852933599], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.42984265363412677}

10.605488

1

5.272606

[ [ 0.7911787609015634, 0.7911787967425876, 0.7911800974226068, 0.791189591397741, 0.7912257130268356, 0.7913231729351714, 0.7915361140128843, 0.7919395407751714, 0.7926290829161511, 0.79371924561726, 0.7953403517282028, 0.7976344106508796, 0.8007501635810195, 0.8048375591501499, 0.8100419102034917, 0.8164979732617761, 0.8243241784179521, 0.8336172199466221, 0.8444471974679653, 0.8568534746732149, 0.870841397846289, 0.8863799900933247, 0.903400709653275, 0.9217973322050625, 0.9414269879798229, 0.9621123549817996, 0.9836449799584134, 1.0057896691733428, 1.028289861760652, 1.0508738697130866, 1.073261840634777, 1.0951732725364112, 1.1163348844630951, 1.136488622949403, 1.1553995625663367, 1.172863439596332, 1.188713541663074, 1.202826663582961, 1.215127831579543, 1.2255934953135124, 1.2342528912440909, 1.241187293431596, 1.2465268915044296, 1.250445073769141, 1.2531499518623135, 1.2548730508331918, 1.2558552205026392, 1.2563300294931945, 1.2565052447553064, 1.256543636590739, 1.256545852933599 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.14240035725767264, -0.5470757612198169, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.429843

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DYYVjRhKuXDoWRHS8KfHYuv

null

false

null

false

DXcMwQfp8wzEbofNBJoz3Z3

DA4PUntpbXBx8cGr7gw4HiS

{"qi": 0.005272656514745919, "vacuum_well": -0.056977533522666046, "aspect_ratio": 8.41057484332914, "max_elongation": 5.924037043063932, "average_triangularity": -0.18482622769402357, "axis_magnetic_mirror_ratio": 0.2220257396673013, "edge_magnetic_mirror_ratio": 0.32385156156338785, "aspect_ratio_over_edge_rotational_transform": 15.82485164944079, "flux_compression_in_regions_of_bad_curvature": 1.2054747407932926, "axis_rotational_transform_over_n_field_periods": 0.14674371222488355, "edge_rotational_transform_over_n_field_periods": 0.13286972651693624, "minimum_normalized_magnetic_gradient_scale_length": 4.855154101562684}

8.410575

15.824852

-0.229235

0.222026

0.146744

0.323852

0.13287

1.205475

5.924037

4.855154

0.005273

-0.056978

{"r_cos":[[0.0,0.0,0.0,0.0,0.9967706334112544,-0.013242699993044178,-0.019809344636433107,0.001157816407535525,0.0009392299995195463],[-0.0007745215037806788,-0.0053054345433089,-0.009410965569687551,-0.060921552273266816,0.16580203324367926,0.013446691750818987,-0.01979001621188219,-0.0035366499954282995,0.0011355628735155786],[0.0005468677929958071,0.0005029743684295015,0.003658060705199667,0.014840513545980576,-0.042584708727135705,0.02366717916165353,0.0017538405306545884,-0.0029945624252394336,-0.0001834268019227696],[0.0003072606506085764,0.0010372173145254118,0.000838757217092793,-0.0008876806475245961,0.005194835720637395,-0.00321321599474743,0.0014626154950830278,-0.0005169001058701667,-0.000030954912487571535],[-0.000036669947564059224,0.00012572382987341738,-0.0008401936451997824,0.0008313109616707457,-0.00022091373975968376,-0.000528620085936223,0.0004327613547460466,-0.0003493695734153758,-0.00010819711781870239]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.2814082133131147,0.023038911748198217,-0.00417735696983282,0.000753407995084979],[-0.0010576734208768558,-0.004157425238833536,-0.02278321311232185,-0.0454127128074807,-0.10357463716034172,0.032699877648222644,0.003519503549345762,0.002908058638579725,0.0002675999515084327],[-0.000014696258279778122,0.0007289606201883329,0.0010125818744245625,0.006470550350621416,-0.005262195062342975,-0.00858540169093777,0.005947290251866071,-0.0005685625405332191,0.0006686698588767662],[0.00007926672581327939,0.00031821567153061687,0.00022896445895967426,0.0001222118522358883,0.0016829579731938835,-0.0032450504367848828,0.0004381315288076848,0.00013568348324089697,0.00009897683798630144],[-0.0000455247515461566,-0.00016770162106655425,0.0002114852112745556,-0.0011854315511414383,0.00096906329856396,0.0006973073241731421,0.0001890809496603259,0.0001611690843433751,-1.5331016483064851e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9967706334112544, -0.013242699993044178, -0.019809344636433107, 0.001157816407535525, 0.0009392299995195463 ], [ -0.0007745215037806788, -0.0053054345433089, -0.009410965569687551, -0.060921552273266816, 0.16580203324367926, 0.013446691750818987, -0.01979001621188219, -0.0035366499954282995, 0.0011355628735155786 ], [ 0.0005468677929958071, 0.0005029743684295015, 0.003658060705199667, 0.014840513545980576, -0.042584708727135705, 0.02366717916165353, 0.0017538405306545884, -0.0029945624252394336, -0.0001834268019227696 ], [ 0.0003072606506085764, 0.0010372173145254118, 0.000838757217092793, -0.0008876806475245961, 0.005194835720637395, -0.00321321599474743, 0.0014626154950830278, -0.0005169001058701667, -0.000030954912487571535 ], [ -0.000036669947564059224, 0.00012572382987341738, -0.0008401936451997824, 0.0008313109616707457, -0.00022091373975968376, -0.000528620085936223, 0.0004327613547460466, -0.0003493695734153758, -0.00010819711781870239 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.2814082133131147, 0.023038911748198217, -0.00417735696983282, 0.000753407995084979 ], [ -0.0010576734208768558, -0.004157425238833536, -0.02278321311232185, -0.0454127128074807, -0.10357463716034172, 0.032699877648222644, 0.003519503549345762, 0.002908058638579725, 0.0002675999515084327 ], [ -0.000014696258279778122, 0.0007289606201883329, 0.0010125818744245625, 0.006470550350621416, -0.005262195062342975, -0.00858540169093777, 0.005947290251866071, -0.0005685625405332191, 0.0006686698588767662 ], [ 0.00007926672581327939, 0.00031821567153061687, 0.00022896445895967426, 0.0001222118522358883, 0.0016829579731938835, -0.0032450504367848828, 0.0004381315288076848, 0.00013568348324089697, 0.00009897683798630144 ], [ -0.0000455247515461566, -0.00016770162106655425, 0.0002114852112745556, -0.0011854315511414383, 0.00096906329856396, 0.0006973073241731421, 0.0001890809496603259, 0.0001611690843433751, -0.0000015331016483064851 ] ]

D23QVUUKsvfsx6hikUzJ8u6

{"aspect_ratio": 7.9444319290505145, "major_radius": 1.0, "max_elongation": 5.22858266229593, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.03793197774985294, -0.24689807046943488, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.8036519518536656, 0.8036530588475889, 0.8036687860640102, 0.8037335609187889, 0.803899620064073, 0.8042332970112419, 0.8048116263925524, 0.8057192037732652, 0.8070452752838619, 0.8088810432242228, 0.8113171792055734, 0.8144415392970512, 0.8183370773746782, 0.8230799539882765, 0.8287378388301618, 0.8353684054458199, 0.843018017248531, 0.8517206042332394, 0.8614967300589514, 0.8723528494027757, 0.8842807556956634, 0.8972572195396094, 0.9112438182858758, 0.926186957429723, 0.9420180846543544, 0.9586540975401965, 0.9759979461501056, 0.9939394319118747, 1.012356204452397, 1.0311149583000592, 1.0500728316719719, 1.0690790099113041, 1.087976536551336, 1.106604335475276, 1.1247994482393604, 1.1423994913653521, 1.1592453393351612, 1.1751840402034601, 1.190071972284372, 1.203778252417036, 1.2161884091072548, 1.2272083377564955, 1.2367685608578198, 1.2448288245709955, 1.251383076549095, 1.256464892389436, 1.2601534585876448, 1.2625803003617027, 1.2639371267175894, 1.2644856904530335, 1.2645729727161186], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5860219551653445}

7.944432

1

5.228583

[ [ 0.8036519518536656, 0.8036530588475889, 0.8036687860640102, 0.8037335609187889, 0.803899620064073, 0.8042332970112419, 0.8048116263925524, 0.8057192037732652, 0.8070452752838619, 0.8088810432242228, 0.8113171792055734, 0.8144415392970512, 0.8183370773746782, 0.8230799539882765, 0.8287378388301618, 0.8353684054458199, 0.843018017248531, 0.8517206042332394, 0.8614967300589514, 0.8723528494027757, 0.8842807556956634, 0.8972572195396094, 0.9112438182858758, 0.926186957429723, 0.9420180846543544, 0.9586540975401965, 0.9759979461501056, 0.9939394319118747, 1.012356204452397, 1.0311149583000592, 1.0500728316719719, 1.0690790099113041, 1.087976536551336, 1.106604335475276, 1.1247994482393604, 1.1423994913653521, 1.1592453393351612, 1.1751840402034601, 1.190071972284372, 1.203778252417036, 1.2161884091072548, 1.2272083377564955, 1.2367685608578198, 1.2448288245709955, 1.251383076549095, 1.256464892389436, 1.2601534585876448, 1.2625803003617027, 1.2639371267175894, 1.2644856904530335, 1.2645729727161186 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.03793197774985294, -0.24689807046943488, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.586022

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DFdzCjtux3ZbmUxkE2AqWsa

null

false

null

false

DRjjpqLsR8rNBvHfhutdYCB

DdJgpuXTsYf7a5TLRKCTWg4

{"qi": 0.052769700738786715, "vacuum_well": -0.12043728169951527, "aspect_ratio": 8.185029931074277, "max_elongation": 7.477125132639596, "average_triangularity": -0.279099632497343, "axis_magnetic_mirror_ratio": 0.41745335389595584, "edge_magnetic_mirror_ratio": 0.48034150160436007, "aspect_ratio_over_edge_rotational_transform": 8.234676443828125, "flux_compression_in_regions_of_bad_curvature": 2.0221558323994024, "axis_rotational_transform_over_n_field_periods": 0.28709633983032706, "edge_rotational_transform_over_n_field_periods": 0.331323680896167, "minimum_normalized_magnetic_gradient_scale_length": 7.593754715546375}

8.18503

8.234676

-0.736135

0.417453

0.287096

0.480342

0.331324

2.022156

7.477125

7.593755

0.05277

-0.120437

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.17334263941506245,0.029870193914396312,0.005006598782976374,-0.0008807177651674056],[0.0012093751605523155,0.006947878547786024,-0.010462473959249981,-0.11985782620437851,0.13794763996320528,0.02171388755641023,-0.0035789627540807915,-0.001050846270759615,0.00008644576188553371],[0.0011803763790339415,-0.003917074121238903,-0.008308651586933367,-0.005985642839107316,-0.034165802529201796,-0.0022364249024653606,-0.0009415564241054344,-0.00032582196722605056,0.000060365531338175005],[0.000012555398137819855,0.0010282842635318144,0.003771586207427317,-0.0022850704897365882,-0.0019791189956494502,-0.0006870995347061819,0.00012491644694209432,0.00007417342376440662,0.00002647432950381377],[-0.00003145830559955748,-0.00016619274672427842,-0.0006166550984784142,0.0005318484930263972,0.00033472248006133614,0.00018386428929102056,0.00003412709615088202,-0.000014325030149235656,6.207092910830657e-7]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.026986673069429215,-0.022909207859098956,-0.004311065033407033,0.0009160801193158903],[-0.0005204473450758063,0.009021660540057132,-0.008573936221206661,-0.052721541320942235,-0.12934149747484022,-0.015208712373513518,0.007673745462533237,0.0008750187640877895,-0.0003204825737570774],[-1.7544840096179044e-6,0.002270091423767783,-0.014027127224165114,-0.0038693963735893823,0.022981804731875895,0.0020249971576161273,0.0018950061951083343,-0.00007681339785264797,-0.00012847887584612724],[0.0010530199948060805,0.0002389499344353556,-0.000968612190947944,-0.0001799113165126943,0.0009985074950621736,0.0009166729076692506,-0.0006670096832889131,0.0002946127355635404,-9.460459710482119e-6],[-0.0002822083485178559,-0.0004148351938365524,0.0012187041552984804,-0.0005042711397473625,-0.0008303368056886516,0.000032192378799156626,0.00015822724229670347,-4.259735864608479e-6,0.00001019283421138347]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.17334263941506245, 0.029870193914396312, 0.005006598782976374, -0.0008807177651674056 ], [ 0.0012093751605523155, 0.006947878547786024, -0.010462473959249981, -0.11985782620437851, 0.13794763996320528, 0.02171388755641023, -0.0035789627540807915, -0.001050846270759615, 0.00008644576188553371 ], [ 0.0011803763790339415, -0.003917074121238903, -0.008308651586933367, -0.005985642839107316, -0.034165802529201796, -0.0022364249024653606, -0.0009415564241054344, -0.00032582196722605056, 0.000060365531338175005 ], [ 0.000012555398137819855, 0.0010282842635318144, 0.003771586207427317, -0.0022850704897365882, -0.0019791189956494502, -0.0006870995347061819, 0.00012491644694209432, 0.00007417342376440662, 0.00002647432950381377 ], [ -0.00003145830559955748, -0.00016619274672427842, -0.0006166550984784142, 0.0005318484930263972, 0.00033472248006133614, 0.00018386428929102056, 0.00003412709615088202, -0.000014325030149235656, 6.207092910830657e-7 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.026986673069429215, -0.022909207859098956, -0.004311065033407033, 0.0009160801193158903 ], [ -0.0005204473450758063, 0.009021660540057132, -0.008573936221206661, -0.052721541320942235, -0.12934149747484022, -0.015208712373513518, 0.007673745462533237, 0.0008750187640877895, -0.0003204825737570774 ], [ -0.0000017544840096179044, 0.002270091423767783, -0.014027127224165114, -0.0038693963735893823, 0.022981804731875895, 0.0020249971576161273, 0.0018950061951083343, -0.00007681339785264797, -0.00012847887584612724 ], [ 0.0010530199948060805, 0.0002389499344353556, -0.000968612190947944, -0.0001799113165126943, 0.0009985074950621736, 0.0009166729076692506, -0.0006670096832889131, 0.0002946127355635404, -0.000009460459710482119 ], [ -0.0002822083485178559, -0.0004148351938365524, 0.0012187041552984804, -0.0005042711397473625, -0.0008303368056886516, 0.000032192378799156626, 0.00015822724229670347, -0.000004259735864608479, 0.00001019283421138347 ] ]

DYxs9hdBCvHybiF33SvgLjv

{"aspect_ratio": 8.170176751846515, "major_radius": 1.0, "max_elongation": 6.821543539030356, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04102317849474619, -0.1544431994347879, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.5797854242986069, 0.5797946577036005, 0.5799302221633321, 0.5804857536679271, 0.5818766330368851, 0.584577261172694, 0.5890683474464398, 0.5957951154966789, 0.6051359659858586, 0.6173806740793304, 0.6327170222023024, 0.6512247139753236, 0.6728754225373, 0.69753786824098, 0.7249868827445116, 0.7549154907516461, 0.786949122131955, 0.8206611526703981, 0.8555890590590711, 0.8912505613884051, 0.9271592131619761, 0.9628389838612832, 0.9978374616240864, 1.0317373831038292, 1.06416627357468, 1.094804052432611, 1.1233885270643884, 1.1497187612978284, 1.1736563630203138, 1.1951247887901224, 1.2141068111121323, 1.230640336259324, 1.244812796851266, 1.256754373606448, 1.2666303245175201, 1.2746327168978757, 1.2809718680398965, 1.2858678033135447, 1.2895420360936631, 1.2922099615712588, 1.2940741358618753, 1.2953186823859837, 1.2961050286780924, 1.2965691278620068, 1.2968202590893143, 1.2969414290549035, 1.2969913105737598, 1.2970075516008506, 1.2970111649318996, 1.2970115577693333, 1.2970115652446865], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8731063646790419}

8.170177

1

6.821544

[ [ 0.5797854242986069, 0.5797946577036005, 0.5799302221633321, 0.5804857536679271, 0.5818766330368851, 0.584577261172694, 0.5890683474464398, 0.5957951154966789, 0.6051359659858586, 0.6173806740793304, 0.6327170222023024, 0.6512247139753236, 0.6728754225373, 0.69753786824098, 0.7249868827445116, 0.7549154907516461, 0.786949122131955, 0.8206611526703981, 0.8555890590590711, 0.8912505613884051, 0.9271592131619761, 0.9628389838612832, 0.9978374616240864, 1.0317373831038292, 1.06416627357468, 1.094804052432611, 1.1233885270643884, 1.1497187612978284, 1.1736563630203138, 1.1951247887901224, 1.2141068111121323, 1.230640336259324, 1.244812796851266, 1.256754373606448, 1.2666303245175201, 1.2746327168978757, 1.2809718680398965, 1.2858678033135447, 1.2895420360936631, 1.2922099615712588, 1.2940741358618753, 1.2953186823859837, 1.2961050286780924, 1.2965691278620068, 1.2968202590893143, 1.2969414290549035, 1.2969913105737598, 1.2970075516008506, 1.2970111649318996, 1.2970115577693333, 1.2970115652446865 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.04102317849474619, -0.1544431994347879, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.873106

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DMQ6h8BGdw3nLiXotA6kFxz

null

false

null

false

D5LWHGpPLZ42LYWBL8JE8H8

DF5dBFoujXogfyExFbVP3Re

{"qi": 0.002402663964979714, "vacuum_well": -0.14585501787612754, "aspect_ratio": 9.742569869860542, "max_elongation": 6.193397358540621, "average_triangularity": -0.017300291219519204, "axis_magnetic_mirror_ratio": 0.29395231778018777, "edge_magnetic_mirror_ratio": 0.35049132655866344, "aspect_ratio_over_edge_rotational_transform": 9.538312885243506, "flux_compression_in_regions_of_bad_curvature": 1.478538785429738, "axis_rotational_transform_over_n_field_periods": 0.22205289296977565, "edge_rotational_transform_over_n_field_periods": 0.20428287448890542, "minimum_normalized_magnetic_gradient_scale_length": 10.089383205942834}

9.74257

9.538313

0.036565

0.293952

0.222053

0.350491

0.204283

1.478539

6.193397

10.089383

0.002403

-0.145855

{"r_cos":[[0.0,0.0,0.0,0.0,0.9970405341616514,0.007277865560227189,-0.005059393291442417,-0.0004945429769106155,-0.00032101575974371284],[-0.000018549694229031224,-0.0019055618220719067,-0.0034649954848367435,-0.06840706284830599,0.12052227025100752,-0.005005768501631591,-0.0064253136764496534,0.0011196748036911498,0.00046686208767537116],[0.0003880134303374359,0.0018831404539560524,0.0028372585170445804,0.023996937841161622,-0.014692396512369754,0.006239204082012267,-0.002215514790715678,0.0002244106550564741,0.00021501539887458976],[-0.00008937353660546625,-0.0011236134814248911,0.00009123406875723996,-0.0029060828896808263,0.005426699081188625,-0.0018604680407035825,0.00001338559701873391,-4.879131472423502e-6,0.000050335137829003634],[-0.00004965269845287227,0.0002939652190781835,-0.00042109717762550734,0.0003329867626933685,0.0001598662102094005,0.00004189852899500477,-0.0003973293842710391,0.00022098239011296748,-0.00003760501093622075]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04714719181466595,0.003351432752590833,0.0011415498553533137,0.0004358472219258471],[0.00004142833468627873,-0.0024315102859330945,-0.0036094905773193854,-0.08244325448508776,-0.1525252718281534,0.030249674361691195,0.0025091337938920482,-0.00079557204915232,0.00013636290941162465],[0.0003650226486001225,0.003306622493236735,0.004793037306433425,0.027166809908515256,-0.027909734023022433,0.0018838640977406566,0.002777953789471938,-0.00020949843959755846,-0.00016702021965288254],[-0.0005673395405372607,-0.0009202449744577683,-0.002999713396188132,0.0034337250507245785,-0.007442099381068886,0.003184366221370114,-0.00042130922202711645,0.00035766870204316644,-0.00013536889037213515],[0.00005165247602694216,0.00015106390449223185,0.0004191692430312694,-0.0007505079888839888,-0.0010896766317226511,0.001271352270555766,-0.00038063370699575557,0.000045581450338467177,7.706143744990856e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9970405341616514, 0.007277865560227189, -0.005059393291442417, -0.0004945429769106155, -0.00032101575974371284 ], [ -0.000018549694229031224, -0.0019055618220719067, -0.0034649954848367435, -0.06840706284830599, 0.12052227025100752, -0.005005768501631591, -0.0064253136764496534, 0.0011196748036911498, 0.00046686208767537116 ], [ 0.0003880134303374359, 0.0018831404539560524, 0.0028372585170445804, 0.023996937841161622, -0.014692396512369754, 0.006239204082012267, -0.002215514790715678, 0.0002244106550564741, 0.00021501539887458976 ], [ -0.00008937353660546625, -0.0011236134814248911, 0.00009123406875723996, -0.0029060828896808263, 0.005426699081188625, -0.0018604680407035825, 0.00001338559701873391, -0.000004879131472423502, 0.000050335137829003634 ], [ -0.00004965269845287227, 0.0002939652190781835, -0.00042109717762550734, 0.0003329867626933685, 0.0001598662102094005, 0.00004189852899500477, -0.0003973293842710391, 0.00022098239011296748, -0.00003760501093622075 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04714719181466595, 0.003351432752590833, 0.0011415498553533137, 0.0004358472219258471 ], [ 0.00004142833468627873, -0.0024315102859330945, -0.0036094905773193854, -0.08244325448508776, -0.1525252718281534, 0.030249674361691195, 0.0025091337938920482, -0.00079557204915232, 0.00013636290941162465 ], [ 0.0003650226486001225, 0.003306622493236735, 0.004793037306433425, 0.027166809908515256, -0.027909734023022433, 0.0018838640977406566, 0.002777953789471938, -0.00020949843959755846, -0.00016702021965288254 ], [ -0.0005673395405372607, -0.0009202449744577683, -0.002999713396188132, 0.0034337250507245785, -0.007442099381068886, 0.003184366221370114, -0.00042130922202711645, 0.00035766870204316644, -0.00013536889037213515 ], [ 0.00005165247602694216, 0.00015106390449223185, 0.0004191692430312694, -0.0007505079888839888, -0.0010896766317226511, 0.001271352270555766, -0.00038063370699575557, 0.000045581450338467177, 0.000007706143744990856 ] ]

DWDwRB8kbXxPkwNtC2kN5WX

{"aspect_ratio": 11.807874122096033, "major_radius": 1.0, "max_elongation": 6.062007946955861, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.03899443272526869, 0.11326410886751516, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7227872262335335, 0.7227872335794046, 0.7227876398217726, 0.7227914823547568, 0.7228090533245309, 0.7228636134416809, 0.7229970638835428, 0.7232747619345137, 0.7237889219720848, 0.7246602521173182, 0.7260376505788244, 0.7280959306282373, 0.7310316630772223, 0.7350573227593648, 0.7403940029063323, 0.7472630201254598, 0.755876774379941, 0.76642925423466, 0.7790865888499875, 0.7939780459045118, 0.8111878598839166, 0.8307482490395943, 0.8526339428379457, 0.8767584959306428, 0.9029726106288357, 0.931064628632, 0.9607632854463704, 0.9917427486701473, 1.0236298853154358, 1.0560136248362317, 1.0884562048719886, 1.120506007327617, 1.1517116148409956, 1.1816366436310903, 1.2098748400466806, 1.2360648669467307, 1.2599041547256769, 1.281161153109292, 1.299685297037693, 1.3154139969280727, 1.3283759851849404, 1.338690403101941, 1.346561103269414, 1.3522657831478344, 1.356139771103226, 1.3585545803122794, 1.3598917663044023, 1.360513237166285, 1.3607301040729824, 1.3607737372770288, 1.3607759162650246], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1280843093106598}

11.807874

1

6.062008

[ [ 0.7227872262335335, 0.7227872335794046, 0.7227876398217726, 0.7227914823547568, 0.7228090533245309, 0.7228636134416809, 0.7229970638835428, 0.7232747619345137, 0.7237889219720848, 0.7246602521173182, 0.7260376505788244, 0.7280959306282373, 0.7310316630772223, 0.7350573227593648, 0.7403940029063323, 0.7472630201254598, 0.755876774379941, 0.76642925423466, 0.7790865888499875, 0.7939780459045118, 0.8111878598839166, 0.8307482490395943, 0.8526339428379457, 0.8767584959306428, 0.9029726106288357, 0.931064628632, 0.9607632854463704, 0.9917427486701473, 1.0236298853154358, 1.0560136248362317, 1.0884562048719886, 1.120506007327617, 1.1517116148409956, 1.1816366436310903, 1.2098748400466806, 1.2360648669467307, 1.2599041547256769, 1.281161153109292, 1.299685297037693, 1.3154139969280727, 1.3283759851849404, 1.338690403101941, 1.346561103269414, 1.3522657831478344, 1.356139771103226, 1.3585545803122794, 1.3598917663044023, 1.360513237166285, 1.3607301040729824, 1.3607737372770288, 1.3607759162650246 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.03899443272526869, 0.11326410886751516, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.128084

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DCxGc7C8YriY7SWc3zbGfza

null

false

null

false

DRCfiVJVhF8qZdxhoyUNjU3

DWaBcCUcXgMv9GX4XaU64wG

{"qi": 0.013915745018072396, "vacuum_well": -0.09438525766054201, "aspect_ratio": 8.156378807713837, "max_elongation": 6.529864675921965, "average_triangularity": -0.3212855546631388, "axis_magnetic_mirror_ratio": 0.4191673310678478, "edge_magnetic_mirror_ratio": 0.5184429648081726, "aspect_ratio_over_edge_rotational_transform": 13.946321278357756, "flux_compression_in_regions_of_bad_curvature": 1.4227456365417226, "axis_rotational_transform_over_n_field_periods": 0.11941208056114586, "edge_rotational_transform_over_n_field_periods": 0.1169681759787236, "minimum_normalized_magnetic_gradient_scale_length": 3.9373741370221698}

8.156379

13.946321

-0.577836

0.419167

0.119412

0.518443

0.116968

1.422746

6.529865

3.937374

0.013916

-0.094385

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.07440421041886333,-0.036160424048954344,0.0010042412011555804,0.0008706030081454065],[-0.0007522834408045542,-0.004795330446530164,0.009646717716643624,0.07252583789066881,0.10984912046382585,-0.04505619597277026,0.003734679685176278,0.0004966705293674191,-0.0015090048723685689],[0.0008143825163854982,0.003448404389868367,-0.0009392514696921943,-0.026593477139032623,-0.03505923897715912,0.006826705654218911,-0.0057406465451439355,-0.0005007766815953597,0.0002881354161348258],[0.000015971184262034396,-0.0005973167687978965,-0.00267384054931617,-0.003093055289263577,0.0067615521950662805,-0.0014458394048675722,0.0011495872450180522,0.00034468987809753004,-0.000200036344051053],[-0.00005880444411423864,-0.0005866113712868219,0.0006775515916387743,0.0006802767020157021,-0.001623557922283919,-0.0005592112248366575,-0.0007539209383620344,0.00007755687570178008,-0.00004350765070621041]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.1477657498976776,0.02637223165637174,-0.00009781549276799634,0.00030184736410073833],[0.0002504594265471411,0.006852716863410862,0.026632146492372263,0.055746284192511174,-0.16467497946811085,-0.0036756057376356246,-0.004861166339164386,-0.0030710115775851774,0.001225365112364248],[-0.0007856836592531791,-0.0014896786168761902,-0.017687972945290238,-0.025427556439055705,0.022368928182854093,0.0022614659315813145,-0.0003162485220898365,0.0023688963974190956,-0.000014750075433779726],[-0.000047569962214205115,-0.0008942984894963299,0.0005148583585125354,0.006094176481730295,-0.002058638140219838,-0.0035567451197261917,0.000847181545016541,-0.0015026170781287293,0.0002341050188634908],[-0.00022643091995181667,0.00024635887846882493,0.00014918865590955277,-0.0008561609720430378,1.0784734586527687e-6,-0.00006111620245256134,0.00047041441158336456,-0.000023063306602753974,0.00002641422547112072]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.07440421041886333, -0.036160424048954344, 0.0010042412011555804, 0.0008706030081454065 ], [ -0.0007522834408045542, -0.004795330446530164, 0.009646717716643624, 0.07252583789066881, 0.10984912046382585, -0.04505619597277026, 0.003734679685176278, 0.0004966705293674191, -0.0015090048723685689 ], [ 0.0008143825163854982, 0.003448404389868367, -0.0009392514696921943, -0.026593477139032623, -0.03505923897715912, 0.006826705654218911, -0.0057406465451439355, -0.0005007766815953597, 0.0002881354161348258 ], [ 0.000015971184262034396, -0.0005973167687978965, -0.00267384054931617, -0.003093055289263577, 0.0067615521950662805, -0.0014458394048675722, 0.0011495872450180522, 0.00034468987809753004, -0.000200036344051053 ], [ -0.00005880444411423864, -0.0005866113712868219, 0.0006775515916387743, 0.0006802767020157021, -0.001623557922283919, -0.0005592112248366575, -0.0007539209383620344, 0.00007755687570178008, -0.00004350765070621041 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.1477657498976776, 0.02637223165637174, -0.00009781549276799634, 0.00030184736410073833 ], [ 0.0002504594265471411, 0.006852716863410862, 0.026632146492372263, 0.055746284192511174, -0.16467497946811085, -0.0036756057376356246, -0.004861166339164386, -0.0030710115775851774, 0.001225365112364248 ], [ -0.0007856836592531791, -0.0014896786168761902, -0.017687972945290238, -0.025427556439055705, 0.022368928182854093, 0.0022614659315813145, -0.0003162485220898365, 0.0023688963974190956, -0.000014750075433779726 ], [ -0.000047569962214205115, -0.0008942984894963299, 0.0005148583585125354, 0.006094176481730295, -0.002058638140219838, -0.0035567451197261917, 0.000847181545016541, -0.0015026170781287293, 0.0002341050188634908 ], [ -0.00022643091995181667, 0.00024635887846882493, 0.00014918865590955277, -0.0008561609720430378, 0.0000010784734586527687, -0.00006111620245256134, 0.00047041441158336456, -0.000023063306602753974, 0.00002641422547112072 ] ]

DTeKm5FgRRn5Ko235ZKzpaC

{"aspect_ratio": 7.2171703930921405, "major_radius": 1.0, "max_elongation": 5.94897554831706, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.15560202660782546, -0.21715137204250431, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7555487468580009, 0.7555515822778635, 0.7555826448943603, 0.7556922096336097, 0.7559455460282203, 0.756417924554385, 0.7571912869414238, 0.7583516908849488, 0.759987215880081, 0.7621861801811458, 0.7650355851111741, 0.7686197351537585, 0.7730189998819093, 0.7783086942672012, 0.7845580605707758, 0.7918293394693509, 0.8001769211783919, 0.8096465695910945, 0.8202747141487846, 0.8320878054791812, 0.8451017319033822, 0.859321294801867, 0.87473974160211, 0.8913383558488359, 0.9090861044768512, 0.9279393430551084, 0.9478415804364457, 0.9687233049578576, 0.9905018751214234, 1.0130814785816873, 1.0363531643153134, 1.0601949541101126, 1.0844720410588347, 1.109037084682401, 1.133730614783245, 1.1583815593514153, 1.1828079161213156, 1.2068175931677372, 1.2302094519503728, 1.2527745976027833, 1.2742979778842745, 1.2945603772670804, 1.3133409318283897, 1.3304203547195315, 1.3455851726051655, 1.3586334775498132, 1.3693831090770288, 1.3776841065216976, 1.3834397354027121, 1.3866489800042454, 1.3875405362253004], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5636405494758994}

7.21717

1

5.948976

[ [ 0.7555487468580009, 0.7555515822778635, 0.7555826448943603, 0.7556922096336097, 0.7559455460282203, 0.756417924554385, 0.7571912869414238, 0.7583516908849488, 0.759987215880081, 0.7621861801811458, 0.7650355851111741, 0.7686197351537585, 0.7730189998819093, 0.7783086942672012, 0.7845580605707758, 0.7918293394693509, 0.8001769211783919, 0.8096465695910945, 0.8202747141487846, 0.8320878054791812, 0.8451017319033822, 0.859321294801867, 0.87473974160211, 0.8913383558488359, 0.9090861044768512, 0.9279393430551084, 0.9478415804364457, 0.9687233049578576, 0.9905018751214234, 1.0130814785816873, 1.0363531643153134, 1.0601949541101126, 1.0844720410588347, 1.109037084682401, 1.133730614783245, 1.1583815593514153, 1.1828079161213156, 1.2068175931677372, 1.2302094519503728, 1.2527745976027833, 1.2742979778842745, 1.2945603772670804, 1.3133409318283897, 1.3304203547195315, 1.3455851726051655, 1.3586334775498132, 1.3693831090770288, 1.3776841065216976, 1.3834397354027121, 1.3866489800042454, 1.3875405362253004 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.15560202660782546, -0.21715137204250431, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.563641

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DijPM8LyCQcWjQBHpXbYwRi

null

false

null

false

D8QAcX3tWrbZRGjprxsPb7D

DRENGEUf4VhAJEqCQDDXiSD

{"qi": 0.003045917497373938, "vacuum_well": -0.08659066638670965, "aspect_ratio": 9.668109639613954, "max_elongation": 5.340372058601084, "average_triangularity": -0.37053602719562073, "axis_magnetic_mirror_ratio": 0.29956314008940205, "edge_magnetic_mirror_ratio": 0.34420563084088385, "aspect_ratio_over_edge_rotational_transform": 46.69790916105229, "flux_compression_in_regions_of_bad_curvature": 1.2496319342320015, "axis_rotational_transform_over_n_field_periods": 0.1820825810070679, "edge_rotational_transform_over_n_field_periods": 0.20703517166626167, "minimum_normalized_magnetic_gradient_scale_length": 2.3399933206716037}

9.66811

46.697909

-0.450025

0.299563

0.182083

0.344206

0.207035

1.249632

5.340372

2.339993

0.003046

-0.086591

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0006113212837833314,-0.2125055545375057,0.0013002411972404735,0.01257283703234838],[0.014603546617199242,-0.0015958137138528616,0.026901110948075783,-0.01465980887740622,0.07516075507216452,-0.010499388413864413,0.0030988981761389325,-0.000028330465354703036,-0.005856133389156599],[-0.006567535791270871,-0.0012554829091450126,0.000565745031029908,0.000548132815041453,-0.006756707701543014,0.0012043412820548335,0.0007320424491040477,0.00108942079183208,-0.0014913166133796265],[0.001755275773996373,-0.0019442578277783723,0.0007153614590821318,-0.0005266113161682059,-0.0006248308605465488,-0.0014420949057401817,0.0014389494388407883,0.0003850070417209398,-0.00013151542046450112],[-0.00046874340874672807,0.0009871741709223088,-0.0017582934628042966,0.0011399862326079088,-0.0005735267318848063,-0.00023439218974737156,0.000030652602104248774,0.00011192189604721181,-0.00015961318766329784]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.007441136155368517,0.02527738749533319,0.0012078468529204622,0.003634911568086616],[0.008932344635614054,0.0038348873808283362,0.05019739762887263,-0.00037664045109091844,-0.16766168308653723,-0.00010319969094919621,0.011757657353887944,0.0005491968851755753,0.00479882706479666],[-0.009171540221501382,-0.00416243640372253,-0.0037658817808165455,-0.0017163586591794973,-0.011460839753312732,-0.0012643451284863167,0.0007296637415522323,-0.00003497486738904222,0.0013924397162451865],[0.000953748143793997,-0.0003605249650112706,0.0005835149951734052,-0.0015224961737278723,0.002926971997598334,0.0011604509700424144,-0.0016735252124926718,-0.0002601682000910156,3.4705852213089594e-6],[-0.00019280054610940628,0.0004848333762066987,-0.0002909714306365068,0.000021387668697833648,0.0008081904740199175,0.0000951165891833291,-0.0002369517364534631,-0.00010796756078834739,0.00015997193948479935]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.0006113212837833314, -0.2125055545375057, 0.0013002411972404735, 0.01257283703234838 ], [ 0.014603546617199242, -0.0015958137138528616, 0.026901110948075783, -0.01465980887740622, 0.07516075507216452, -0.010499388413864413, 0.0030988981761389325, -0.000028330465354703036, -0.005856133389156599 ], [ -0.006567535791270871, -0.0012554829091450126, 0.000565745031029908, 0.000548132815041453, -0.006756707701543014, 0.0012043412820548335, 0.0007320424491040477, 0.00108942079183208, -0.0014913166133796265 ], [ 0.001755275773996373, -0.0019442578277783723, 0.0007153614590821318, -0.0005266113161682059, -0.0006248308605465488, -0.0014420949057401817, 0.0014389494388407883, 0.0003850070417209398, -0.00013151542046450112 ], [ -0.00046874340874672807, 0.0009871741709223088, -0.0017582934628042966, 0.0011399862326079088, -0.0005735267318848063, -0.00023439218974737156, 0.000030652602104248774, 0.00011192189604721181, -0.00015961318766329784 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.007441136155368517, 0.02527738749533319, 0.0012078468529204622, 0.003634911568086616 ], [ 0.008932344635614054, 0.0038348873808283362, 0.05019739762887263, -0.00037664045109091844, -0.16766168308653723, -0.00010319969094919621, 0.011757657353887944, 0.0005491968851755753, 0.00479882706479666 ], [ -0.009171540221501382, -0.00416243640372253, -0.0037658817808165455, -0.0017163586591794973, -0.011460839753312732, -0.0012643451284863167, 0.0007296637415522323, -0.00003497486738904222, 0.0013924397162451865 ], [ 0.000953748143793997, -0.0003605249650112706, 0.0005835149951734052, -0.0015224961737278723, 0.002926971997598334, 0.0011604509700424144, -0.0016735252124926718, -0.0002601682000910156, 0.0000034705852213089594 ], [ -0.00019280054610940628, 0.0004848333762066987, -0.0002909714306365068, 0.000021387668697833648, 0.0008081904740199175, 0.0000951165891833291, -0.0002369517364534631, -0.00010796756078834739, 0.00015997193948479935 ] ]

D4GxB7N3LZQDmxnJapTJs3r

{"aspect_ratio": 10.210252626334215, "major_radius": 1.0, "max_elongation": 6.056469808159228, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.14138735530862562, 0.025248035225175075, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.7295059299270434, 0.7295059872471719, 0.729507813931375, 0.7295201760742492, 0.7295649271110378, 0.7296815291210405, 0.7299299070099545, 0.7303917146753828, 0.7311701488736885, 0.7323884727059325, 0.7341874236510821, 0.7367216869559998, 0.7401556166746281, 0.7446583851532124, 0.7503987380969033, 0.7575395270232633, 0.7662321842299069, 0.7766112975892233, 0.7887894336766095, 0.802852348037355, 0.8188547108658955, 0.8368164650497301, 0.8567199214397547, 0.8785076833537907, 0.9020814786910574, 0.9273019636089177, 0.9539895464522878, 0.9819262644787945, 1.0108587288206166, 1.0405021349792793, 1.0705453168514765, 1.1006568016925788, 1.130491801363676, 1.1597000514545428, 1.1879343841434444, 1.2148598925762355, 1.2401635136380085, 1.2635638216059002, 1.284820786435314, 1.30374520612631, 1.320207471005949, 1.3341452562945233, 1.3455696641148527, 1.3545692409901084, 1.3613111715709505, 1.3660387755842724, 1.369064177802903, 1.3707546059259732, 1.37151001731717, 1.371728114696106, 1.3717477833045169], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.18453376072084898}

10.210253

1

6.05647

[ [ 0.7295059299270434, 0.7295059872471719, 0.729507813931375, 0.7295201760742492, 0.7295649271110378, 0.7296815291210405, 0.7299299070099545, 0.7303917146753828, 0.7311701488736885, 0.7323884727059325, 0.7341874236510821, 0.7367216869559998, 0.7401556166746281, 0.7446583851532124, 0.7503987380969033, 0.7575395270232633, 0.7662321842299069, 0.7766112975892233, 0.7887894336766095, 0.802852348037355, 0.8188547108658955, 0.8368164650497301, 0.8567199214397547, 0.8785076833537907, 0.9020814786910574, 0.9273019636089177, 0.9539895464522878, 0.9819262644787945, 1.0108587288206166, 1.0405021349792793, 1.0705453168514765, 1.1006568016925788, 1.130491801363676, 1.1597000514545428, 1.1879343841434444, 1.2148598925762355, 1.2401635136380085, 1.2635638216059002, 1.284820786435314, 1.30374520612631, 1.320207471005949, 1.3341452562945233, 1.3455696641148527, 1.3545692409901084, 1.3613111715709505, 1.3660387755842724, 1.369064177802903, 1.3707546059259732, 1.37151001731717, 1.371728114696106, 1.3717477833045169 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ 0.14138735530862562, 0.025248035225175075, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.184534

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DUkSh4EiStkUNRV67uroNh6

null

false

null

false

DfL7XKgKwtKoxvf7rWyq6em

D8dvBAyRmgJQs3f3jxdoETc

{"qi": 0.007509474208525587, "vacuum_well": -0.08928978260474225, "aspect_ratio": 9.751807953306594, "max_elongation": 6.000083176470041, "average_triangularity": -0.6183767922668229, "axis_magnetic_mirror_ratio": 0.30245224229439704, "edge_magnetic_mirror_ratio": 0.3348102878798259, "aspect_ratio_over_edge_rotational_transform": 23.358921091979386, "flux_compression_in_regions_of_bad_curvature": 1.517356770302221, "axis_rotational_transform_over_n_field_periods": 0.21974487716077806, "edge_rotational_transform_over_n_field_periods": 0.20873840694326876, "minimum_normalized_magnetic_gradient_scale_length": 6.061167729440944}

9.751808

23.358921

-0.986277

0.302452

0.219745

0.33481

0.208738

1.517357

6.000083

6.061168

0.007509

-0.08929

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0335446837966787,-0.056346300644623745,0.005814638739143994,-0.0003873927537399033],[-0.0017967758707086003,0.0039977272696899695,0.036004706063887656,0.026177226016936003,0.0709060129948165,-0.0015687202411382058,-0.012704244730172358,-0.0007794877656346244,0.000286269699011399],[0.0009580203590256235,0.0016639657054808208,-0.015074096307303313,0.005768314956487577,-0.01574125597891657,0.006515078424038949,-0.006713304594759727,0.001228833087836697,-0.0006072224129328344],[0.00017353763237164867,-0.0011183817268702748,0.004133704157536337,-0.0025801378258912882,0.0013951821106852934,0.00012367613488163632,-0.0021990482768220404,0.00008003304725472875,-0.00017841047675869697],[-0.00023160769322393842,0.00005881232651583964,-0.0003539816610681761,0.000038668565360149704,0.0003736520150319873,-0.00031115888359705725,0.00010981473224754837,-0.0000357153165694039,-0.000045837836680208475]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.03083366936179288,0.014769428061469502,0.0020384438556417016,-0.00038884412978830094],[-0.0008769643358369707,0.006147821787602608,0.041274721576852816,0.04998367223154321,-0.20135417582052034,0.02378628418133988,0.0028266176062972798,0.0016500210660382961,-0.00038108809751414554],[0.0015826281857002089,0.0028462512542155255,-0.01996379880980265,-0.010220225126858511,-0.015059956565728075,-0.0012849297953083823,0.0056618489221076825,-0.0015214627866615097,0.0007849551155522359],[0.00005751737359145249,-0.0020567642700043626,0.0013212775146279002,-0.007814517869153027,-0.0003213582871056987,-0.0020479383641623366,0.0027630374297322345,-0.000311064901507529,0.00035831485097730987],[-0.00033823111473608395,0.00023553338697399322,-0.0008855451298417675,0.0010960803119684425,-0.0007311833974363858,0.000654790057674979,-0.0000613145739788745,0.00009633423016731739,0.00006246985654394588]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.0335446837966787, -0.056346300644623745, 0.005814638739143994, -0.0003873927537399033 ], [ -0.0017967758707086003, 0.0039977272696899695, 0.036004706063887656, 0.026177226016936003, 0.0709060129948165, -0.0015687202411382058, -0.012704244730172358, -0.0007794877656346244, 0.000286269699011399 ], [ 0.0009580203590256235, 0.0016639657054808208, -0.015074096307303313, 0.005768314956487577, -0.01574125597891657, 0.006515078424038949, -0.006713304594759727, 0.001228833087836697, -0.0006072224129328344 ], [ 0.00017353763237164867, -0.0011183817268702748, 0.004133704157536337, -0.0025801378258912882, 0.0013951821106852934, 0.00012367613488163632, -0.0021990482768220404, 0.00008003304725472875, -0.00017841047675869697 ], [ -0.00023160769322393842, 0.00005881232651583964, -0.0003539816610681761, 0.000038668565360149704, 0.0003736520150319873, -0.00031115888359705725, 0.00010981473224754837, -0.0000357153165694039, -0.000045837836680208475 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.03083366936179288, 0.014769428061469502, 0.0020384438556417016, -0.00038884412978830094 ], [ -0.0008769643358369707, 0.006147821787602608, 0.041274721576852816, 0.04998367223154321, -0.20135417582052034, 0.02378628418133988, 0.0028266176062972798, 0.0016500210660382961, -0.00038108809751414554 ], [ 0.0015826281857002089, 0.0028462512542155255, -0.01996379880980265, -0.010220225126858511, -0.015059956565728075, -0.0012849297953083823, 0.0056618489221076825, -0.0015214627866615097, 0.0007849551155522359 ], [ 0.00005751737359145249, -0.0020567642700043626, 0.0013212775146279002, -0.007814517869153027, -0.0003213582871056987, -0.0020479383641623366, 0.0027630374297322345, -0.000311064901507529, 0.00035831485097730987 ], [ -0.00033823111473608395, 0.00023553338697399322, -0.0008855451298417675, 0.0010960803119684425, -0.0007311833974363858, 0.000654790057674979, -0.0000613145739788745, 0.00009633423016731739, 0.00006246985654394588 ] ]

DRVEgPdXfzB5FuvPbAPCqhP

{"aspect_ratio": 9.686573885572123, "major_radius": 1.0, "max_elongation": 5.785618523776849, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.4363128148107535, 0.0937841663162261, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.726433607811125, 0.7264338757452947, 0.7264408428152036, 0.7264820603650793, 0.7266168468438967, 0.7269400454383238, 0.7275810053818674, 0.7286991894778991, 0.7304774522263805, 0.7331138204339678, 0.7368124564813197, 0.7417743652271813, 0.7481883064698719, 0.7562222896387728, 0.7660159523625187, 0.777674057559964, 0.791261283301114, 0.8067984249248021, 0.8242600791045016, 0.8435738342411877, 0.8646209503822944, 0.8872384745624949, 0.9112227038492645, 0.9363338783217742, 0.9623019596266151, 0.9888333275849958, 1.0156182075514282, 1.0423386248500657, 1.0686766696752135, 1.0943228463978834, 1.1189842753595098, 1.1423925130770096, 1.164310758485052, 1.1845402185973968, 1.2029254170242873, 1.2193582434427956, 1.2337805617643673, 1.2461852198612382, 1.2566153349164066, 1.2651617665472743, 1.2719587358716478, 1.2771776040542422, 1.2810188905583173, 1.2837026921501382, 1.2854577628749446, 1.2865096393567463, 1.2870683559416878, 1.2873165105332847, 1.2873987554266026, 1.2874142966180377, 1.2874150088867131], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.46053684950459256}

9.686574

1

5.785619

[ [ 0.726433607811125, 0.7264338757452947, 0.7264408428152036, 0.7264820603650793, 0.7266168468438967, 0.7269400454383238, 0.7275810053818674, 0.7286991894778991, 0.7304774522263805, 0.7331138204339678, 0.7368124564813197, 0.7417743652271813, 0.7481883064698719, 0.7562222896387728, 0.7660159523625187, 0.777674057559964, 0.791261283301114, 0.8067984249248021, 0.8242600791045016, 0.8435738342411877, 0.8646209503822944, 0.8872384745624949, 0.9112227038492645, 0.9363338783217742, 0.9623019596266151, 0.9888333275849958, 1.0156182075514282, 1.0423386248500657, 1.0686766696752135, 1.0943228463978834, 1.1189842753595098, 1.1423925130770096, 1.164310758485052, 1.1845402185973968, 1.2029254170242873, 1.2193582434427956, 1.2337805617643673, 1.2461852198612382, 1.2566153349164066, 1.2651617665472743, 1.2719587358716478, 1.2771776040542422, 1.2810188905583173, 1.2837026921501382, 1.2854577628749446, 1.2865096393567463, 1.2870683559416878, 1.2873165105332847, 1.2873987554266026, 1.2874142966180377, 1.2874150088867131 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ -0.4363128148107535, 0.0937841663162261, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.460537

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DmvquCAsFeFJWK6yJiWhpyE

null

false

null

false

D5BpHC7ohzVyTmZZQeVEBnK

D3ysyA4464xFnVunvhF7W2b

{"qi": 0.007624752653100331, "vacuum_well": -0.16262498850103438, "aspect_ratio": 10.009834461402159, "max_elongation": 5.506986769777997, "average_triangularity": -0.30549245388798013, "axis_magnetic_mirror_ratio": 0.16294682381606357, "edge_magnetic_mirror_ratio": 0.2508879093917307, "aspect_ratio_over_edge_rotational_transform": 14.095009102757084, "flux_compression_in_regions_of_bad_curvature": 1.3351540741109822, "axis_rotational_transform_over_n_field_periods": 0.1424059935032102, "edge_rotational_transform_over_n_field_periods": 0.23672290403000792, "minimum_normalized_magnetic_gradient_scale_length": 5.663629500355421}

10.009834

14.095009

-0.475598

0.162947

0.142406

0.250888

0.236723

1.335154

5.506987

5.66363

0.007625

-0.162625

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991820833888332,-0.005240570426310771,-0.017815770231445083,-0.00006277809271914604,-0.0012728429219908196],[-0.0002530596489641073,-0.012668971163407918,-0.017322961854703774,-0.043123051096791945,0.1320759543508285,-0.0036239302584885093,0.007351798842184737,-0.006228396849727544,-0.0003887974192523805],[0.0012913687264693246,-0.00015597886659508863,-0.013185194800657428,0.008223454345350798,-0.001902466366502575,0.0043745474245214105,0.0011096972463383523,-0.0012160018417121594,0.00011134467888177684],[0.0005167436218564055,0.0056745777615775225,0.006606129031963601,-0.002688308775194309,0.0009807418881095699,-0.0005210353718983303,0.0005510243150783668,-0.00046965839257412986,0.0001716213011973397],[-0.00013436186122321757,-0.0012205270972364371,-0.0012959977475722165,0.0009555937981724147,-0.0011494199908611378,0.00026913628642229875,0.000457512716288353,-0.00021812004955082615,0.000048781414865311395]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14431115388653104,0.008182685623108603,-0.0016155418268115687,0.0011979407584962291],[-0.002146156116605724,-0.008993574499944982,0.010445879913630027,-0.09416943745335968,-0.10778776844242338,0.05908984490527108,-0.012934121558800582,0.0020661151818722437,0.000647558984080884],[0.0017303741331368772,0.001169304871356407,-0.015706041630687017,-0.0017255848393451139,-0.007710524493869692,-0.003024509651886614,-0.00007357663984572382,0.0005495640327962188,-0.00009233055934546627],[-0.00054868534408048,0.0026414294892691667,0.0018342193168461771,0.003181372905174171,-0.00023991456683626026,0.0011953456898339046,-0.001978700108575218,0.0006729626662646596,-0.00011037115887177674],[0.00017473091366747686,-0.0004520999232477561,0.0004958093506529274,-0.0005132269471106422,0.0003325871590790895,0.00015973460721059753,-0.00041752503526857894,0.00022574059221113624,-0.00006361918635683925]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9991820833888332, -0.005240570426310771, -0.017815770231445083, -0.00006277809271914604, -0.0012728429219908196 ], [ -0.0002530596489641073, -0.012668971163407918, -0.017322961854703774, -0.043123051096791945, 0.1320759543508285, -0.0036239302584885093, 0.007351798842184737, -0.006228396849727544, -0.0003887974192523805 ], [ 0.0012913687264693246, -0.00015597886659508863, -0.013185194800657428, 0.008223454345350798, -0.001902466366502575, 0.0043745474245214105, 0.0011096972463383523, -0.0012160018417121594, 0.00011134467888177684 ], [ 0.0005167436218564055, 0.0056745777615775225, 0.006606129031963601, -0.002688308775194309, 0.0009807418881095699, -0.0005210353718983303, 0.0005510243150783668, -0.00046965839257412986, 0.0001716213011973397 ], [ -0.00013436186122321757, -0.0012205270972364371, -0.0012959977475722165, 0.0009555937981724147, -0.0011494199908611378, 0.00026913628642229875, 0.000457512716288353, -0.00021812004955082615, 0.000048781414865311395 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14431115388653104, 0.008182685623108603, -0.0016155418268115687, 0.0011979407584962291 ], [ -0.002146156116605724, -0.008993574499944982, 0.010445879913630027, -0.09416943745335968, -0.10778776844242338, 0.05908984490527108, -0.012934121558800582, 0.0020661151818722437, 0.000647558984080884 ], [ 0.0017303741331368772, 0.001169304871356407, -0.015706041630687017, -0.0017255848393451139, -0.007710524493869692, -0.003024509651886614, -0.00007357663984572382, 0.0005495640327962188, -0.00009233055934546627 ], [ -0.00054868534408048, 0.0026414294892691667, 0.0018342193168461771, 0.003181372905174171, -0.00023991456683626026, 0.0011953456898339046, -0.001978700108575218, 0.0006729626662646596, -0.00011037115887177674 ], [ 0.00017473091366747686, -0.0004520999232477561, 0.0004958093506529274, -0.0005132269471106422, 0.0003325871590790895, 0.00015973460721059753, -0.00041752503526857894, 0.00022574059221113624, -0.00006361918635683925 ] ]

DHW7qpwdXAv4TKND8QuyPFC

{"aspect_ratio": 10.0173875033838, "major_radius": 1.0, "max_elongation": 5.032720763750289, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.19210845909275226, -0.07827113886267045, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.840196776329525, 0.8401968017396633, 0.8401975676404054, 0.8402026062673252, 0.8402205733095522, 0.8402670402637046, 0.8403657722445849, 0.8405495231113811, 0.840860381550878, 0.8413497027169212, 0.8420776606571497, 0.8431124572300956, 0.8445292236001898, 0.8464086507315456, 0.8488353856043029, 0.8518962301626573, 0.8556781802801002, 0.8602663423011494, 0.8657417649948602, 0.8721792250378806, 0.879645004437522, 0.8881946986120073, 0.8978710941695297, 0.9087021557741675, 0.9206991618596797, 0.9338550293571117, 0.9481428680452859, 0.9635148056222368, 0.9799011251397658, 0.9972097570540545, 1.0153261688371975, 1.03411369588607, 1.0534143583800692, 1.0730502098093695, 1.092825264162302, 1.1125280502812147, 1.131934843749344, 1.1508136289679607, 1.1689288469840289, 1.1860469883723617, 1.201943095427696, 1.2164082446591435, 1.2292580900548822, 1.2403425614460795, 1.2495568335616183, 1.2568537159521531, 1.2622576745875633, 1.2658808132823034, 1.2679414044598578, 1.2687862850386549, 1.2689216602548947], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.44161243340790574}

10.017388

1

5.032721

[ [ 0.840196776329525, 0.8401968017396633, 0.8401975676404054, 0.8402026062673252, 0.8402205733095522, 0.8402670402637046, 0.8403657722445849, 0.8405495231113811, 0.840860381550878, 0.8413497027169212, 0.8420776606571497, 0.8431124572300956, 0.8445292236001898, 0.8464086507315456, 0.8488353856043029, 0.8518962301626573, 0.8556781802801002, 0.8602663423011494, 0.8657417649948602, 0.8721792250378806, 0.879645004437522, 0.8881946986120073, 0.8978710941695297, 0.9087021557741675, 0.9206991618596797, 0.9338550293571117, 0.9481428680452859, 0.9635148056222368, 0.9799011251397658, 0.9972097570540545, 1.0153261688371975, 1.03411369588607, 1.0534143583800692, 1.0730502098093695, 1.092825264162302, 1.1125280502812147, 1.131934843749344, 1.1508136289679607, 1.1689288469840289, 1.1860469883723617, 1.201943095427696, 1.2164082446591435, 1.2292580900548822, 1.2403425614460795, 1.2495568335616183, 1.2568537159521531, 1.2622576745875633, 1.2658808132823034, 1.2679414044598578, 1.2687862850386549, 1.2689216602548947 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.19210845909275226, -0.07827113886267045, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.441612

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DLqL5uk57UnnWPpQS3W5Haa

null

false

null

false

DnAsMqtVvCiWk3Ukq9LKWoU

DVBiYhz66XRCmSG2swWw9wL

{"qi": 0.026710764005248754, "vacuum_well": -0.07857669758720089, "aspect_ratio": 6.1480143920800625, "max_elongation": 11.392313686421659, "average_triangularity": 0.3477336309156234, "axis_magnetic_mirror_ratio": 0.6640966367077975, "edge_magnetic_mirror_ratio": 0.7665231150294021, "aspect_ratio_over_edge_rotational_transform": 9.343832433008949, "flux_compression_in_regions_of_bad_curvature": 2.3771715843257084, "axis_rotational_transform_over_n_field_periods": 0.6017317400451302, "edge_rotational_transform_over_n_field_periods": 0.6579756685662488, "minimum_normalized_magnetic_gradient_scale_length": 1.7178061422152835}

6.148014

9.343832

0.269213

0.664097

0.601732

0.766523

0.657976

2.377172

11.392314

1.717806

0.026711

-0.078577

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0015716627338326153,-0.19828378325098672,-0.000870914919600071,7.278306160981434e-6],[-0.002768179467465392,0.018408884201879236,0.1399846727578557,-0.020575782113454243,0.21587111282543683,-0.027868106227767756,0.0057413420157435,0.007419486574893422,-0.003458019793905271],[0.0018039288991515846,0.00016732060572060184,0.0017168310641507212,-0.00035478780520292215,-0.0023528618665386823,0.00047581103278349866,-0.0021187646682256805,0.00012841970601578455,0.00002233840368592898],[-0.0015085352894364762,-0.002700609599136831,-0.0018160382833764149,-0.0014930676557042197,-0.0019135260304239958,0.0008234948431723448,0.0015845198739446143,-0.0015960106793683959,0.00023983903492302632],[-0.00002314467856282936,-0.0006292145968631961,-0.00003398302667974014,-0.0011189714533019358,-0.0006825662118764218,-0.0012655478930566639,0.0007658720361624397,-0.0013904819045555846,0.0007884122326783883]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.008854178669441673,0.0017136730049992302,0.0003560347627752658,-0.0037296224293589674],[-0.002241118072143144,0.0035676248653852462,0.15265189274068774,0.016914727692302352,-0.21677200210966438,0.014608713151253309,0.0021159647677560373,-0.0007528470503707129,-0.00035048270934332046],[0.0020052700095293187,0.00041574064507040714,0.002792367729532582,0.00004720980878622914,0.0027918957912219803,-0.0005157800240447272,0.0010095753541498938,-0.00039163265084026004,0.000308187196365967],[-0.0007757980030146132,-0.002286123518552214,0.0017432752302328459,0.0011458877243397394,-0.00005985595899258179,-0.001191095526211382,-0.0010380890127866967,0.0007380553038647018,0.00022291222083042607],[-9.838420132009717e-6,-0.0008654516905213062,0.000010160117552467324,0.00004899780343346332,-0.0003705089065403986,0.00022412847529587355,0.0007136919156166292,0.0011109892594762662,-0.0006836653132346669]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.0015716627338326153, -0.19828378325098672, -0.000870914919600071, 0.000007278306160981434 ], [ -0.002768179467465392, 0.018408884201879236, 0.1399846727578557, -0.020575782113454243, 0.21587111282543683, -0.027868106227767756, 0.0057413420157435, 0.007419486574893422, -0.003458019793905271 ], [ 0.0018039288991515846, 0.00016732060572060184, 0.0017168310641507212, -0.00035478780520292215, -0.0023528618665386823, 0.00047581103278349866, -0.0021187646682256805, 0.00012841970601578455, 0.00002233840368592898 ], [ -0.0015085352894364762, -0.002700609599136831, -0.0018160382833764149, -0.0014930676557042197, -0.0019135260304239958, 0.0008234948431723448, 0.0015845198739446143, -0.0015960106793683959, 0.00023983903492302632 ], [ -0.00002314467856282936, -0.0006292145968631961, -0.00003398302667974014, -0.0011189714533019358, -0.0006825662118764218, -0.0012655478930566639, 0.0007658720361624397, -0.0013904819045555846, 0.0007884122326783883 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.008854178669441673, 0.0017136730049992302, 0.0003560347627752658, -0.0037296224293589674 ], [ -0.002241118072143144, 0.0035676248653852462, 0.15265189274068774, 0.016914727692302352, -0.21677200210966438, 0.014608713151253309, 0.0021159647677560373, -0.0007528470503707129, -0.00035048270934332046 ], [ 0.0020052700095293187, 0.00041574064507040714, 0.002792367729532582, 0.00004720980878622914, 0.0027918957912219803, -0.0005157800240447272, 0.0010095753541498938, -0.00039163265084026004, 0.000308187196365967 ], [ -0.0007757980030146132, -0.002286123518552214, 0.0017432752302328459, 0.0011458877243397394, -0.00005985595899258179, -0.001191095526211382, -0.0010380890127866967, 0.0007380553038647018, 0.00022291222083042607 ], [ -0.000009838420132009717, -0.0008654516905213062, 0.000010160117552467324, 0.00004899780343346332, -0.0003705089065403986, 0.00022412847529587355, 0.0007136919156166292, 0.0011109892594762662, -0.0006836653132346669 ] ]

DoEz24VcvW3KxvvxMPXcXN9

{"aspect_ratio": 4.657733277669826, "major_radius": 1.0, "max_elongation": 4.023007250926416, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.09568326484226516, -0.45631147985841186, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.8642046910592729, 0.8646664658770763, 0.8663885320184955, 0.869486747152287, 0.8739101552415733, 0.879540814102808, 0.8862284355921529, 0.8938081467759424, 0.9021110252513178, 0.9109708149715636, 0.9202283540968497, 0.9297345140619588, 0.9393521123812916, 0.9489570882830547, 0.9584391329982884, 0.9677019082319042, 0.9766629494764748, 0.9852533264596215, 0.993417116293004, 1.0011107330418918, 1.0083021488013797, 1.0149700349193649, 1.021102847087022, 1.0266978741885326, 1.0317602677676296, 1.0363020665241058, 1.0403412282536795, 1.0439006799847217, 1.0470073956683936, 1.0496915095872312, 1.0519854726174853, 1.0539232575789013, 1.055539619105662, 1.0568694127527323, 1.057946977395575, 1.0588055843735868, 1.0594769562560604, 1.0599908575625796, 1.0603747592367083, 1.0606535781416253, 1.060849492307208, 1.0609818320962408, 1.0610670468559107, 1.0611187459569975, 1.0611478123652407, 1.061162585989271, 1.0611691129297693, 1.0611714552800764, 1.0611720540384286, 1.0611721344050462, 1.0611721366060005], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.26312105052305834}

4.657733

1

4.023007

[ [ 0.8642046910592729, 0.8646664658770763, 0.8663885320184955, 0.869486747152287, 0.8739101552415733, 0.879540814102808, 0.8862284355921529, 0.8938081467759424, 0.9021110252513178, 0.9109708149715636, 0.9202283540968497, 0.9297345140619588, 0.9393521123812916, 0.9489570882830547, 0.9584391329982884, 0.9677019082319042, 0.9766629494764748, 0.9852533264596215, 0.993417116293004, 1.0011107330418918, 1.0083021488013797, 1.0149700349193649, 1.021102847087022, 1.0266978741885326, 1.0317602677676296, 1.0363020665241058, 1.0403412282536795, 1.0439006799847217, 1.0470073956683936, 1.0496915095872312, 1.0519854726174853, 1.0539232575789013, 1.055539619105662, 1.0568694127527323, 1.057946977395575, 1.0588055843735868, 1.0594769562560604, 1.0599908575625796, 1.0603747592367083, 1.0606535781416253, 1.060849492307208, 1.0609818320962408, 1.0610670468559107, 1.0611187459569975, 1.0611478123652407, 1.061162585989271, 1.0611691129297693, 1.0611714552800764, 1.0611720540384286, 1.0611721344050462, 1.0611721366060005 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ -0.09568326484226516, -0.45631147985841186, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.263121

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DDWfN9na96UsZPDjwPJmARE

null

false

null

false

DQaJ5RHDcKk36ZB2F9uLxsz

DLXYFrGGkcfifXTrCUEP3eW

{"qi": 0.007999322921789547, "vacuum_well": -0.13895870390407913, "aspect_ratio": 10.217230167791923, "max_elongation": 4.893389195084307, "average_triangularity": -0.23966913799037814, "axis_magnetic_mirror_ratio": 0.17679547718302194, "edge_magnetic_mirror_ratio": 0.19439703942632244, "aspect_ratio_over_edge_rotational_transform": 18.183082099049507, "flux_compression_in_regions_of_bad_curvature": 1.1547142568726865, "axis_rotational_transform_over_n_field_periods": 0.11176949127493263, "edge_rotational_transform_over_n_field_periods": 0.11238171958015868, "minimum_normalized_magnetic_gradient_scale_length": 8.912734234840979}

10.21723

18.183082

-0.387299

0.176795

0.111769

0.194397

0.112382

1.154714

4.893389

8.912734

0.007999

-0.138959

{"r_cos":[[0.0,0.0,0.0,0.0,0.9987996206262647,0.019230689683380247,-0.006417830991195984,-0.001849520672371773,-0.000384320018766975],[-0.000514341578416055,-0.0031671335027122502,-0.01676229341383379,-0.03682211615531378,0.10031709457368963,0.009058377512995099,-0.0061154649051301194,-0.0005768385220581381,-0.0005793236271369288],[0.00016218480659774671,0.0005851568897255377,0.0024642637743189097,0.0006590012284572091,-0.003714066486403971,0.01079892359578757,-0.003801241513337059,0.0004061129743308299,-0.00025673645471528905],[0.0002819288231315498,0.0016824090950918625,0.0009145736850169519,-0.00026204801018727677,0.003690982119875476,-0.002538664559558172,0.0006734958384547868,-0.00025896712755863285,-0.0000408515094661971],[-0.00001497763235511068,-0.000466364295070407,-0.000361940376827304,0.0008450376716695493,0.0002675733752463146,-0.00037458877925588196,0.00009292605346443566,0.000023715106865492962,-0.00002746813187931088]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04607347696664001,0.0003896691556277351,0.0014756064087004164,0.00035945763476114863],[-0.0004334701876197414,-0.0024478263261766735,-0.01006225947474015,-0.07033195078921162,-0.13430275731432723,0.04411052292136767,-0.0030620582358169657,0.0013663280543023256,0.00011124970282352627],[-0.0002678775689795034,-0.000401204959020659,0.0021539782130307822,0.005733172903296963,-0.0381828830665588,0.012148220388550644,0.0007222474309818668,-0.00035084228164132194,0.0001385009262619794],[-0.00021043079477794032,0.0009912844624563296,0.003621760751193837,0.0015640710583176309,-0.006240389574814449,0.003551743576788728,-0.0003880931700024704,0.00025659696691075816,-0.000055421329068965894],[-0.000039187496641454676,-0.0003503689741719959,-0.000021277211166324098,0.0005907192690591148,-0.0004451941935423747,0.00014473874626831244,-0.000050661739892866195,0.000040679311153226375,2.768883840562527e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9987996206262647, 0.019230689683380247, -0.006417830991195984, -0.001849520672371773, -0.000384320018766975 ], [ -0.000514341578416055, -0.0031671335027122502, -0.01676229341383379, -0.03682211615531378, 0.10031709457368963, 0.009058377512995099, -0.0061154649051301194, -0.0005768385220581381, -0.0005793236271369288 ], [ 0.00016218480659774671, 0.0005851568897255377, 0.0024642637743189097, 0.0006590012284572091, -0.003714066486403971, 0.01079892359578757, -0.003801241513337059, 0.0004061129743308299, -0.00025673645471528905 ], [ 0.0002819288231315498, 0.0016824090950918625, 0.0009145736850169519, -0.00026204801018727677, 0.003690982119875476, -0.002538664559558172, 0.0006734958384547868, -0.00025896712755863285, -0.0000408515094661971 ], [ -0.00001497763235511068, -0.000466364295070407, -0.000361940376827304, 0.0008450376716695493, 0.0002675733752463146, -0.00037458877925588196, 0.00009292605346443566, 0.000023715106865492962, -0.00002746813187931088 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04607347696664001, 0.0003896691556277351, 0.0014756064087004164, 0.00035945763476114863 ], [ -0.0004334701876197414, -0.0024478263261766735, -0.01006225947474015, -0.07033195078921162, -0.13430275731432723, 0.04411052292136767, -0.0030620582358169657, 0.0013663280543023256, 0.00011124970282352627 ], [ -0.0002678775689795034, -0.000401204959020659, 0.0021539782130307822, 0.005733172903296963, -0.0381828830665588, 0.012148220388550644, 0.0007222474309818668, -0.00035084228164132194, 0.0001385009262619794 ], [ -0.00021043079477794032, 0.0009912844624563296, 0.003621760751193837, 0.0015640710583176309, -0.006240389574814449, 0.003551743576788728, -0.0003880931700024704, 0.00025659696691075816, -0.000055421329068965894 ], [ -0.000039187496641454676, -0.0003503689741719959, -0.000021277211166324098, 0.0005907192690591148, -0.0004451941935423747, 0.00014473874626831244, -0.000050661739892866195, 0.000040679311153226375, 0.000002768883840562527 ] ]

DZubL8pTHpQnwv95VbkkB5n

{"aspect_ratio": 10.568510806447495, "major_radius": 1.0, "max_elongation": 4.6912142918730515, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.27695014943571095, -0.3785907627729888, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.889466622700951, 0.8894666261934799, 0.8894667558304696, 0.8894677319615877, 0.8894715808212239, 0.8894823737906198, 0.8895069347917282, 0.8895554850270513, 0.8896422049944662, 0.8897856994607324, 0.8900093547341101, 0.890341580150143, 0.8908159276319577, 0.8914710847444561, 0.8923507379665006, 0.8935033040410101, 0.8949815282857605, 0.8968419496971428, 0.8991442335848576, 0.9019503733612949, 0.905323763995579, 0.9093281505477013, 0.9140264561412867, 0.9194794947336492, 0.9257445751201622, 0.9328740037910815, 0.9409134955719288, 0.9499005024590332, 0.9598624727544134, 0.970815054565773, 0.9827602600418626, 0.9956846094583569, 1.0095572775856296, 1.0243282688360722, 1.0399266527532756, 1.0562588978203133, 1.0732073498386243, 1.0906289120163701, 1.1083539985510908, 1.1261858536880451, 1.143900356881174, 1.1612464766484052, 1.1779475995536186, 1.1937040623107433, 1.2081973855638368, 1.2210970141929616, 1.2320709683842, 1.2408031255824727, 1.2470232599274247, 1.2505674844706531, 1.2515601264447163], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.569864425974811}

10.568511

1

4.691214

[ [ 0.889466622700951, 0.8894666261934799, 0.8894667558304696, 0.8894677319615877, 0.8894715808212239, 0.8894823737906198, 0.8895069347917282, 0.8895554850270513, 0.8896422049944662, 0.8897856994607324, 0.8900093547341101, 0.890341580150143, 0.8908159276319577, 0.8914710847444561, 0.8923507379665006, 0.8935033040410101, 0.8949815282857605, 0.8968419496971428, 0.8991442335848576, 0.9019503733612949, 0.905323763995579, 0.9093281505477013, 0.9140264561412867, 0.9194794947336492, 0.9257445751201622, 0.9328740037910815, 0.9409134955719288, 0.9499005024590332, 0.9598624727544134, 0.970815054565773, 0.9827602600418626, 0.9956846094583569, 1.0095572775856296, 1.0243282688360722, 1.0399266527532756, 1.0562588978203133, 1.0732073498386243, 1.0906289120163701, 1.1083539985510908, 1.1261858536880451, 1.143900356881174, 1.1612464766484052, 1.1779475995536186, 1.1937040623107433, 1.2081973855638368, 1.2210970141929616, 1.2320709683842, 1.2408031255824727, 1.2470232599274247, 1.2505674844706531, 1.2515601264447163 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.27695014943571095, -0.3785907627729888, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.569864

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D7P7qkuLZZxVJGECgsCj2UK

null

false

null

false

DUBRPfvQzzvgrHg6M5hAp7E

DaUADenFpCYPokimNXJHDNg

{"qi": 0.035911412399909755, "vacuum_well": -0.05961517360121893, "aspect_ratio": 7.389225154767325, "max_elongation": 4.141139927617711, "average_triangularity": -0.3753320481272085, "axis_magnetic_mirror_ratio": 0.658457852023746, "edge_magnetic_mirror_ratio": 0.8646239488366945, "aspect_ratio_over_edge_rotational_transform": 6.824559382389561, "flux_compression_in_regions_of_bad_curvature": 1.0372296435912705, "axis_rotational_transform_over_n_field_periods": 0.24406928092945454, "edge_rotational_transform_over_n_field_periods": 0.21654805067224872, "minimum_normalized_magnetic_gradient_scale_length": 4.064651205539608}

7.389225

6.824559

-0.4744

0.658458

0.244069

0.864624

0.216548

1.03723

4.14114

4.064651

0.035911

-0.059615

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1051084542667019,-0.02351338885386741,-0.005293521244630586,0.001460872059437894],[-0.0012365191396375712,0.007392133329267341,0.047263430454762265,-0.0022716926697973136,0.11851766980551874,-0.013454624188332247,-0.007724488007905681,0.0019111236883137413,0.00027607341781057644],[0.0013965145923399082,-0.004713808700321732,-0.015840687335413356,0.007106270310643261,0.0002896335823340838,-0.0025477801189346485,-0.0006717764564186865,-0.00025856809411426394,-0.00010783846068863098],[-0.0008924605170550602,0.0007169986114961653,0.0030112722544316304,-0.0011502099614248765,0.0008681110267852845,-0.0005376805125949088,0.00014211029089984976,-0.00002629667411776631,-0.00007063714255865913],[0.0002001727934177963,-0.00041004404851490523,0.00012216205188193084,0.0006389548951909662,-0.0003666981263409745,-0.000022216909154665918,0.000021060611536069422,-0.00002888651564190436,0.00002538741678564375]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.04564182706396612,0.02392323173826636,0.0034335394308891544,0.0005711688054219516],[0.00047809217966341484,0.010755462364743576,0.024808834416223773,0.04991589712165363,-0.15482230514992149,0.00922555613904696,0.0012139099342532728,-0.0003260364626205131,-0.00021666349060499974],[0.00034939944653076367,-0.0050319786764936696,-0.008684323457153753,0.005152915745297151,-0.0070639047620983785,-0.0030763070719697083,0.002483699575872339,0.00033159969428901573,0.00014137414505228723],[-0.0010374550373747024,0.0015913071378214588,-0.003858303791915885,-0.0016611015110039615,-0.00015463879720729274,0.00006495479353781607,-0.0007067360609938631,0.0001138045393727793,0.00001133069115448796],[0.00016997429425704498,-0.0001842587732658182,0.0005161420500067994,-0.0005242246164823675,0.00001919869783939803,0.00012764523408611897,-0.00007713947859923148,-9.214821761586428e-6,0.0000216421459801302]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.1051084542667019, -0.02351338885386741, -0.005293521244630586, 0.001460872059437894 ], [ -0.0012365191396375712, 0.007392133329267341, 0.047263430454762265, -0.0022716926697973136, 0.11851766980551874, -0.013454624188332247, -0.007724488007905681, 0.0019111236883137413, 0.00027607341781057644 ], [ 0.0013965145923399082, -0.004713808700321732, -0.015840687335413356, 0.007106270310643261, 0.0002896335823340838, -0.0025477801189346485, -0.0006717764564186865, -0.00025856809411426394, -0.00010783846068863098 ], [ -0.0008924605170550602, 0.0007169986114961653, 0.0030112722544316304, -0.0011502099614248765, 0.0008681110267852845, -0.0005376805125949088, 0.00014211029089984976, -0.00002629667411776631, -0.00007063714255865913 ], [ 0.0002001727934177963, -0.00041004404851490523, 0.00012216205188193084, 0.0006389548951909662, -0.0003666981263409745, -0.000022216909154665918, 0.000021060611536069422, -0.00002888651564190436, 0.00002538741678564375 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.04564182706396612, 0.02392323173826636, 0.0034335394308891544, 0.0005711688054219516 ], [ 0.00047809217966341484, 0.010755462364743576, 0.024808834416223773, 0.04991589712165363, -0.15482230514992149, 0.00922555613904696, 0.0012139099342532728, -0.0003260364626205131, -0.00021666349060499974 ], [ 0.00034939944653076367, -0.0050319786764936696, -0.008684323457153753, 0.005152915745297151, -0.0070639047620983785, -0.0030763070719697083, 0.002483699575872339, 0.00033159969428901573, 0.00014137414505228723 ], [ -0.0010374550373747024, 0.0015913071378214588, -0.003858303791915885, -0.0016611015110039615, -0.00015463879720729274, 0.00006495479353781607, -0.0007067360609938631, 0.0001138045393727793, 0.00001133069115448796 ], [ 0.00016997429425704498, -0.0001842587732658182, 0.0005161420500067994, -0.0005242246164823675, 0.00001919869783939803, 0.00012764523408611897, -0.00007713947859923148, -0.000009214821761586428, 0.0000216421459801302 ] ]

DHRc9puZzgggiaBPJj9gYEJ

{"aspect_ratio": 6.4175655743666145, "major_radius": 1.0, "max_elongation": 6.747498585111633, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09754901799978885, -0.1476739868264807, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.5699080634723397, 0.5700281078164124, 0.5709428288775534, 0.5734486306977351, 0.5782026549551572, 0.5856916100941588, 0.5962319164269803, 0.609981605375221, 0.6269575554690099, 0.6470550775840103, 0.670068219061343, 0.6957098149155391, 0.7236306782809669, 0.7534375426331639, 0.7847095111269767, 0.8170128658370752, 0.849914158895084, 0.8829915582286222, 0.9158444586679442, 0.9481013982698883, 0.9794263422153144, 1.0095234141832048, 1.0381401688145036, 1.0650695095488105, 1.0901503643254058, 1.1132672378129842, 1.1343487632887372, 1.1533653802677226, 1.1703262656706506, 1.185275646851232, 1.1982886242878052, 1.2094666302554642, 1.2189326473890378, 1.2268263077592203, 1.233298988931396, 1.238509018459895, 1.2426170923730977, 1.2457820063919456, 1.248156790839964, 1.2498853313649683, 1.2510995475867608, 1.251917190453254, 1.2524403062108718, 1.2527544001670385, 1.2529283164023948, 1.2530148296231758, 1.2530519214103295, 1.2530646835316512, 1.2530677526827838, 1.2530681277452747, 1.2530681364699199], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.3785946504436564}

6.417566

1

6.747499

[ [ 0.5699080634723397, 0.5700281078164124, 0.5709428288775534, 0.5734486306977351, 0.5782026549551572, 0.5856916100941588, 0.5962319164269803, 0.609981605375221, 0.6269575554690099, 0.6470550775840103, 0.670068219061343, 0.6957098149155391, 0.7236306782809669, 0.7534375426331639, 0.7847095111269767, 0.8170128658370752, 0.849914158895084, 0.8829915582286222, 0.9158444586679442, 0.9481013982698883, 0.9794263422153144, 1.0095234141832048, 1.0381401688145036, 1.0650695095488105, 1.0901503643254058, 1.1132672378129842, 1.1343487632887372, 1.1533653802677226, 1.1703262656706506, 1.185275646851232, 1.1982886242878052, 1.2094666302554642, 1.2189326473890378, 1.2268263077592203, 1.233298988931396, 1.238509018459895, 1.2426170923730977, 1.2457820063919456, 1.248156790839964, 1.2498853313649683, 1.2510995475867608, 1.251917190453254, 1.2524403062108718, 1.2527544001670385, 1.2529283164023948, 1.2530148296231758, 1.2530519214103295, 1.2530646835316512, 1.2530677526827838, 1.2530681277452747, 1.2530681364699199 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.09754901799978885, -0.1476739868264807, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.378595

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DRHxUVDCpaq7nDv2SvdbBJP

null

false

null

false

DfcJuTh6r7gY2qWMBikAAhZ

DH65QWq5aKsC4BxjhpMUeCR

{"qi": 0.0107501738083638, "vacuum_well": -0.2132549005631657, "aspect_ratio": 9.165060321092941, "max_elongation": 5.559091232151256, "average_triangularity": 0.07573719440752691, "axis_magnetic_mirror_ratio": 0.203878070787873, "edge_magnetic_mirror_ratio": 0.3901027623184458, "aspect_ratio_over_edge_rotational_transform": 11.263238325595909, "flux_compression_in_regions_of_bad_curvature": 1.3678074592870761, "axis_rotational_transform_over_n_field_periods": 0.21963733450691605, "edge_rotational_transform_over_n_field_periods": 0.2712381660333328, "minimum_normalized_magnetic_gradient_scale_length": 6.797490706123533}

9.16506

11.263238

-0.384613

0.203878

0.219637

0.390103

0.271238

1.367807

5.559091

6.797491

0.01075

-0.213255

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.040100448754453344,-0.026371980752596107,-0.003623949223118147,0.0006650011769750233],[-0.0012600280680769471,-0.008777162787182352,0.06218388853824392,-0.06679865059674324,0.10212977699518985,-0.026229980520640548,-0.012212677500645815,-0.0009367074693650557,0.0005462906031190538],[0.0014517947765912095,-0.0021353826761705908,0.011561832156663046,-0.03225102395077367,-0.030023562964274258,-0.014743170803372285,0.0007762452449647326,0.00016044912894337075,-0.00025733816083679166],[-0.0003742325370696542,0.00006359940147871504,-0.004642942261014034,-0.0036531162743323456,0.005396806359044945,0.005668056392071802,0.000558478631950379,0.000227681471422895,0.00008398775087817953],[-0.0001289883709426966,0.0006718648346938209,-0.0022176794800602456,-0.00006756012261964917,-0.0016377924397029471,-0.0011771597227718872,0.00008178133088663142,-0.00013240604133392614,-0.00002694860132925077]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08766061274044658,0.00476762945405612,0.007009990723924435,-0.0016615559213700119],[-0.0013585460688050896,-0.004159656977860232,0.033229455638024985,-0.025090216612486844,-0.1403954248578744,-0.012417001273975698,0.005865082635584617,-0.0014806682048731873,-0.00014656286478973227],[-0.0009513015261245739,0.004127013991070295,-0.005957082189866424,-0.02976705639095293,0.029017165905064538,0.014964030136064212,-0.004291253135675325,-0.0005101993547347704,0.0002018154125694158],[-0.00020598223377089135,0.0017675553946841288,-0.00536130752451074,0.002717381950739124,-0.0036583733178882816,-0.005923416305363378,0.00032438927052572683,0.0005576559182668478,-0.000010056188596529818],[0.0006985667008519421,-0.0012306725711730077,0.00020146626234698547,-0.0005042591562406169,-0.00011873204822513209,0.0007947056478031623,-0.000056629114054424856,-0.00026139201164769436,-0.00004191834894704135]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.040100448754453344, -0.026371980752596107, -0.003623949223118147, 0.0006650011769750233 ], [ -0.0012600280680769471, -0.008777162787182352, 0.06218388853824392, -0.06679865059674324, 0.10212977699518985, -0.026229980520640548, -0.012212677500645815, -0.0009367074693650557, 0.0005462906031190538 ], [ 0.0014517947765912095, -0.0021353826761705908, 0.011561832156663046, -0.03225102395077367, -0.030023562964274258, -0.014743170803372285, 0.0007762452449647326, 0.00016044912894337075, -0.00025733816083679166 ], [ -0.0003742325370696542, 0.00006359940147871504, -0.004642942261014034, -0.0036531162743323456, 0.005396806359044945, 0.005668056392071802, 0.000558478631950379, 0.000227681471422895, 0.00008398775087817953 ], [ -0.0001289883709426966, 0.0006718648346938209, -0.0022176794800602456, -0.00006756012261964917, -0.0016377924397029471, -0.0011771597227718872, 0.00008178133088663142, -0.00013240604133392614, -0.00002694860132925077 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08766061274044658, 0.00476762945405612, 0.007009990723924435, -0.0016615559213700119 ], [ -0.0013585460688050896, -0.004159656977860232, 0.033229455638024985, -0.025090216612486844, -0.1403954248578744, -0.012417001273975698, 0.005865082635584617, -0.0014806682048731873, -0.00014656286478973227 ], [ -0.0009513015261245739, 0.004127013991070295, -0.005957082189866424, -0.02976705639095293, 0.029017165905064538, 0.014964030136064212, -0.004291253135675325, -0.0005101993547347704, 0.0002018154125694158 ], [ -0.00020598223377089135, 0.0017675553946841288, -0.00536130752451074, 0.002717381950739124, -0.0036583733178882816, -0.005923416305363378, 0.00032438927052572683, 0.0005576559182668478, -0.000010056188596529818 ], [ 0.0006985667008519421, -0.0012306725711730077, 0.00020146626234698547, -0.0005042591562406169, -0.00011873204822513209, 0.0007947056478031623, -0.000056629114054424856, -0.00026139201164769436, -0.00004191834894704135 ] ]

D73UGXXXUk5kzo7xzVK2N7L

{"aspect_ratio": 8.580989731029565, "major_radius": 1.0, "max_elongation": 5.1774632380513035, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.12159368150695116, 0.5266324263678078, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.7704185466013314, 0.770420226669334, 0.7704493369106744, 0.7705826170450731, 0.7709454672028754, 0.7717001715931707, 0.7730322686557504, 0.7751370413133649, 0.7782070490966744, 0.7824211834935959, 0.7879354922799918, 0.7948758755531197, 0.8033326625227737, 0.8133570138762383, 0.8249590493183258, 0.8381075677625018, 0.852731204988154, 0.8687208580434732, 0.8859331956854553, 0.9041950686037366, 0.9233086312757355, 0.9430569884552774, 0.9632101830566998, 0.9835313482139865, 1.003782854296468, 1.0237322914307452, 1.0431581394364349, 1.0618549898870793, 1.0796381991387167, 1.0963478665293032, 1.1118520484612788, 1.1260491366701084, 1.1388693475985427, 1.1502752893953097, 1.1602615936032403, 1.1688536200700068, 1.1761052659884021, 1.182095933245889, 1.1869267324391877, 1.1907160270061006, 1.1935944469767503, 1.195699528904568, 1.197170166688255, 1.198141087368318, 1.1987375967733298, 1.1990708724136199, 1.1992341157883832, 1.1992999141949752, 1.1993192049745778, 1.1993222868850375, 1.199322395618057], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7433805223523633}

8.58099

1

5.177463

[ [ 0.7704185466013314, 0.770420226669334, 0.7704493369106744, 0.7705826170450731, 0.7709454672028754, 0.7717001715931707, 0.7730322686557504, 0.7751370413133649, 0.7782070490966744, 0.7824211834935959, 0.7879354922799918, 0.7948758755531197, 0.8033326625227737, 0.8133570138762383, 0.8249590493183258, 0.8381075677625018, 0.852731204988154, 0.8687208580434732, 0.8859331956854553, 0.9041950686037366, 0.9233086312757355, 0.9430569884552774, 0.9632101830566998, 0.9835313482139865, 1.003782854296468, 1.0237322914307452, 1.0431581394364349, 1.0618549898870793, 1.0796381991387167, 1.0963478665293032, 1.1118520484612788, 1.1260491366701084, 1.1388693475985427, 1.1502752893953097, 1.1602615936032403, 1.1688536200700068, 1.1761052659884021, 1.182095933245889, 1.1869267324391877, 1.1907160270061006, 1.1935944469767503, 1.195699528904568, 1.197170166688255, 1.198141087368318, 1.1987375967733298, 1.1990708724136199, 1.1992341157883832, 1.1992999141949752, 1.1993192049745778, 1.1993222868850375, 1.199322395618057 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.12159368150695116, 0.5266324263678078, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.743381

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D2GWNXiMeRtjFtfgxfosjGe

null

false

null

false

DjWmvm5ndWf7Azfmp8gLX2s

DUYtKJ3Y9NbLG8ofUtFkEaq

{"qi": 0.0009690294604526923, "vacuum_well": -0.11535784448889314, "aspect_ratio": 9.159310403236224, "max_elongation": 6.953641803973502, "average_triangularity": -0.5240706065236809, "axis_magnetic_mirror_ratio": 0.34228991053581376, "edge_magnetic_mirror_ratio": 0.3707682347053559, "aspect_ratio_over_edge_rotational_transform": 19.184595267412803, "flux_compression_in_regions_of_bad_curvature": 1.4323931367271985, "axis_rotational_transform_over_n_field_periods": 0.13527275473514777, "edge_rotational_transform_over_n_field_periods": 0.15914349118073126, "minimum_normalized_magnetic_gradient_scale_length": 5.4728403109344415}

9.15931

19.184595

-0.705232

0.34229

0.135273

0.370768

0.159143

1.432393

6.953642

5.47284

0.000969

-0.115358

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991100687404921,0.012248305635795941,-0.020714938275444413,-0.003262984647295509,-0.00243044575739919],[-0.002202476179260571,-0.008103952268778589,-0.022978989122625023,-0.04829401114631576,0.1605649069625803,0.0035759213030872004,-0.015545329282435513,0.0011818195149765755,-0.0020556639033513305],[-0.0011601334035908494,-0.0085054615195473,-0.013554952994827379,0.014329501135953993,-0.008708845098523202,-0.0010645482525168714,-0.0029352663904241736,0.002630551429586678,-0.00007129665510560506],[0.0010267436767501144,0.0014230785940560686,0.002040097588281754,-0.008828344566387527,0.0010270968306648877,0.003997048411260973,-0.00229894686242992,0.00024242823308110665,0.0005087371563294489],[0.00036101315068442336,0.0006641103264237852,-0.0006266725082030132,-0.00005110941948243547,-0.0006438203259705906,-0.00007696738750426896,0.000048433407935940306,-0.00015866437335526726,0.00004914873238048845]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.2176831683458666,0.001704239110717116,-0.0002974748244095526,0.0013636560750900986],[-0.001146491710163298,-0.002587781614032158,-0.0036157532084118097,-0.08753957935371065,-0.10614047640536366,0.07236240315128648,-0.011978978638223127,0.0009514638297409788,0.0007239306464808545],[-0.0007842035174593548,-0.003352118429263448,-0.01401654554932328,-0.009203880000984177,-0.010681780135789326,0.005810964706101027,-0.005027940794500248,-0.0007411176494537648,0.0006531939334449539],[0.0005337238768846296,0.002963964854724861,-0.00224787936308325,0.0017024779570962707,0.003511701621226169,0.0006579430542865972,-0.0014165197212709759,-0.000212447904958907,-0.0002011235639007767],[-0.0002807305688658744,0.0001642729922980155,0.0017015464536066526,0.000773386485291455,-0.0004473595963325964,-0.00038209919845903133,0.000499054083052742,-0.00006188328704137907,-0.00006328898707769376]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9991100687404921, 0.012248305635795941, -0.020714938275444413, -0.003262984647295509, -0.00243044575739919 ], [ -0.002202476179260571, -0.008103952268778589, -0.022978989122625023, -0.04829401114631576, 0.1605649069625803, 0.0035759213030872004, -0.015545329282435513, 0.0011818195149765755, -0.0020556639033513305 ], [ -0.0011601334035908494, -0.0085054615195473, -0.013554952994827379, 0.014329501135953993, -0.008708845098523202, -0.0010645482525168714, -0.0029352663904241736, 0.002630551429586678, -0.00007129665510560506 ], [ 0.0010267436767501144, 0.0014230785940560686, 0.002040097588281754, -0.008828344566387527, 0.0010270968306648877, 0.003997048411260973, -0.00229894686242992, 0.00024242823308110665, 0.0005087371563294489 ], [ 0.00036101315068442336, 0.0006641103264237852, -0.0006266725082030132, -0.00005110941948243547, -0.0006438203259705906, -0.00007696738750426896, 0.000048433407935940306, -0.00015866437335526726, 0.00004914873238048845 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.2176831683458666, 0.001704239110717116, -0.0002974748244095526, 0.0013636560750900986 ], [ -0.001146491710163298, -0.002587781614032158, -0.0036157532084118097, -0.08753957935371065, -0.10614047640536366, 0.07236240315128648, -0.011978978638223127, 0.0009514638297409788, 0.0007239306464808545 ], [ -0.0007842035174593548, -0.003352118429263448, -0.01401654554932328, -0.009203880000984177, -0.010681780135789326, 0.005810964706101027, -0.005027940794500248, -0.0007411176494537648, 0.0006531939334449539 ], [ 0.0005337238768846296, 0.002963964854724861, -0.00224787936308325, 0.0017024779570962707, 0.003511701621226169, 0.0006579430542865972, -0.0014165197212709759, -0.000212447904958907, -0.0002011235639007767 ], [ -0.0002807305688658744, 0.0001642729922980155, 0.0017015464536066526, 0.000773386485291455, -0.0004473595963325964, -0.00038209919845903133, 0.000499054083052742, -0.00006188328704137907, -0.00006328898707769376 ] ]

DCw4X88CXWd8bxTHXTbiLzs

{"aspect_ratio": 11.290021965701403, "major_radius": 1.0, "max_elongation": 6.521424277700273, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.07668164923433565, 0.23573133566461854, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.7512316728311462, 0.7512316753534692, 0.751231795946608, 0.751232856838298, 0.7512375267024638, 0.7512517686716857, 0.7512864348268098, 0.7513588971206886, 0.751494629168366, 0.7517286688152411, 0.7521069026013943, 0.7526871220528951, 0.7535398090706021, 0.7547486140675316, 0.7564104962420565, 0.7586355006738313, 0.7615461519390093, 0.7652764487710347, 0.7699704490308926, 0.7757804389707972, 0.7828646855454378, 0.7913847754099508, 0.8015025493097314, 0.8133766458844397, 0.8271586745555106, 0.8429890432333929, 0.8609924731746376, 0.8812732405695581, 0.9039101925090942, 0.9289515940670109, 0.9564098735998137, 0.9862563453490039, 1.018416002474794, 1.0527624903572108, 1.0891133901913106, 1.1272259677243237, 1.166793573066752, 1.2074429172364687, 1.2487325030220313, 1.2901525573516808, 1.3311269083267336, 1.3710173867777902, 1.409131534377491, 1.4447347129216443, 1.4770682191630122, 1.5053758975619767, 1.528943425574039, 1.5471580104171192, 1.5596050945659052, 1.5662471201639556, 1.5678943358233557], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3641189915699058}

11.290022

1

6.521424

[ [ 0.7512316728311462, 0.7512316753534692, 0.751231795946608, 0.751232856838298, 0.7512375267024638, 0.7512517686716857, 0.7512864348268098, 0.7513588971206886, 0.751494629168366, 0.7517286688152411, 0.7521069026013943, 0.7526871220528951, 0.7535398090706021, 0.7547486140675316, 0.7564104962420565, 0.7586355006738313, 0.7615461519390093, 0.7652764487710347, 0.7699704490308926, 0.7757804389707972, 0.7828646855454378, 0.7913847754099508, 0.8015025493097314, 0.8133766458844397, 0.8271586745555106, 0.8429890432333929, 0.8609924731746376, 0.8812732405695581, 0.9039101925090942, 0.9289515940670109, 0.9564098735998137, 0.9862563453490039, 1.018416002474794, 1.0527624903572108, 1.0891133901913106, 1.1272259677243237, 1.166793573066752, 1.2074429172364687, 1.2487325030220313, 1.2901525573516808, 1.3311269083267336, 1.3710173867777902, 1.409131534377491, 1.4447347129216443, 1.4770682191630122, 1.5053758975619767, 1.528943425574039, 1.5471580104171192, 1.5596050945659052, 1.5662471201639556, 1.5678943358233557 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.07668164923433565, 0.23573133566461854, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.364119

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DJzZnpzQmNSLx4CWiKYBQus

null

false

null

false

DcMVNjdJAc9SEXvWEFwLftw

DB5zVaqfUD32WyRfQH3Y4LG

{"qi": 0.008211807384883594, "vacuum_well": -0.0028564932779351886, "aspect_ratio": 7.878430073922618, "max_elongation": 7.546436141879695, "average_triangularity": 0.6650266979179538, "axis_magnetic_mirror_ratio": 0.17534190085471402, "edge_magnetic_mirror_ratio": 0.3097419222933768, "aspect_ratio_over_edge_rotational_transform": 4.98658766950451, "flux_compression_in_regions_of_bad_curvature": 1.8638819400278397, "axis_rotational_transform_over_n_field_periods": 0.3136361652689331, "edge_rotational_transform_over_n_field_periods": 0.31598482152848445, "minimum_normalized_magnetic_gradient_scale_length": 4.6164447955764505}

7.87843

4.986588

0.65312

0.175342

0.313636

0.309742

0.315985

1.863882

7.546436

4.616445

0.008212

-0.002856

{"r_cos":[[0.0,0.0,0.0,0.0,0.9945644777408859,-0.007881765457483422,-0.01848098811215103,0.0012983944267014867,0.0001996259552838834],[0.0009717936515736567,0.0007692535264453229,-0.014017076982237616,-0.07902619477252297,0.20084121920052111,-0.03250742147049332,0.00008155632416751747,-0.0016293206804946325,0.0002943131869486767],[0.0009518576084662773,0.004777834799483279,0.024667056474007742,0.027106030790490225,-0.020434944679138634,-0.006945668684372115,0.003286356329268115,-0.0015274140477231103,0.00029628063869115346],[0.00015390583311436504,-0.004502547639258572,-0.004615161791874205,-0.007874687480630183,-0.00534458892753998,0.002993507391782055,-0.00025053565930522595,0.00018260345187294568,0.000014391638243402619],[0.0004477364364663146,0.00021544119780295742,-0.000019776759161122504,0.00003917486551677143,0.0006178444914591574,0.000285336962796757,-0.00007949072039282193,0.00003926957348943279,-0.00003018615106274074]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.19924109344821225,0.029922317796352932,-0.0005074766236929243,0.00046216328903699895],[-0.0005083699036710974,-0.0009778711643465962,-0.03612288602453595,-0.06779320756272122,-0.09763489433852805,0.009052894940343587,0.002834896352236601,0.0015809332169892812,0.0001169679732035771],[0.0008575300980618245,0.003793248846035338,0.016648682686255488,-0.008858385698409597,0.013632112382814796,0.0037574237585398925,0.00039775990805596476,0.00005267111590968919,0.00008477048292691717],[-0.000741926000553584,-0.004364838598300823,-0.005606596910073702,0.01372179394988152,0.004675496367191801,-0.0009530566445616782,-0.0009191321908705971,0.0003039206471392845,-0.00011680776098460164],[0.00034886873554824645,0.0010892763517730802,0.0004614079877500974,-0.00013848409720930194,-0.0004217715148653339,-0.0005881862143682283,0.0004189174490857351,-0.0001731292748628696,0.00006243741304487246]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9945644777408859, -0.007881765457483422, -0.01848098811215103, 0.0012983944267014867, 0.0001996259552838834 ], [ 0.0009717936515736567, 0.0007692535264453229, -0.014017076982237616, -0.07902619477252297, 0.20084121920052111, -0.03250742147049332, 0.00008155632416751747, -0.0016293206804946325, 0.0002943131869486767 ], [ 0.0009518576084662773, 0.004777834799483279, 0.024667056474007742, 0.027106030790490225, -0.020434944679138634, -0.006945668684372115, 0.003286356329268115, -0.0015274140477231103, 0.00029628063869115346 ], [ 0.00015390583311436504, -0.004502547639258572, -0.004615161791874205, -0.007874687480630183, -0.00534458892753998, 0.002993507391782055, -0.00025053565930522595, 0.00018260345187294568, 0.000014391638243402619 ], [ 0.0004477364364663146, 0.00021544119780295742, -0.000019776759161122504, 0.00003917486551677143, 0.0006178444914591574, 0.000285336962796757, -0.00007949072039282193, 0.00003926957348943279, -0.00003018615106274074 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.19924109344821225, 0.029922317796352932, -0.0005074766236929243, 0.00046216328903699895 ], [ -0.0005083699036710974, -0.0009778711643465962, -0.03612288602453595, -0.06779320756272122, -0.09763489433852805, 0.009052894940343587, 0.002834896352236601, 0.0015809332169892812, 0.0001169679732035771 ], [ 0.0008575300980618245, 0.003793248846035338, 0.016648682686255488, -0.008858385698409597, 0.013632112382814796, 0.0037574237585398925, 0.00039775990805596476, 0.00005267111590968919, 0.00008477048292691717 ], [ -0.000741926000553584, -0.004364838598300823, -0.005606596910073702, 0.01372179394988152, 0.004675496367191801, -0.0009530566445616782, -0.0009191321908705971, 0.0003039206471392845, -0.00011680776098460164 ], [ 0.00034886873554824645, 0.0010892763517730802, 0.0004614079877500974, -0.00013848409720930194, -0.0004217715148653339, -0.0005881862143682283, 0.0004189174490857351, -0.0001731292748628696, 0.00006243741304487246 ] ]

DbNkeXowMQ2tbnZ5Y2N26Tm

{"aspect_ratio": 6.728356835645293, "major_radius": 1.0, "max_elongation": 4.925452947594226, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.01751352832768251, -0.28685825386561353, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7706036256964162, 0.7706459779125358, 0.7710090414921024, 0.7720766739107617, 0.7742015407763402, 0.7776699152568557, 0.7826897285109097, 0.7893888677675535, 0.7978190034242669, 0.8079625754565436, 0.8197415525987736, 0.8330270781119863, 0.8476494046658263, 0.8634077028846013, 0.8800794506588658, 0.8974291970779956, 0.9152165586864556, 0.9332033542016921, 0.9511598214510066, 0.9688698900349665, 0.9861355070669517, 1.00278003261989, 1.0186507371838394, 1.033620446190155, 1.0475883869975249, 1.0604803020437055, 1.0722478984349693, 1.0828677092971786, 1.0923394459221243, 1.1006839222462994, 1.1079406346027731, 1.1141650800725718, 1.119425896192666, 1.1238019032993574, 1.1273791284299919, 1.1302478864904382, 1.1324999903255628, 1.134226156396497, 1.1355136669488335, 1.1364443428101763, 1.1370928732235497, 1.137525540318684, 1.1377993658246475, 1.1379616962635342, 1.138050229891371, 1.1380934737099055, 1.1381116014120458, 1.1381176622545488, 1.1381190650109083, 1.1381192272486484, 1.1381192306941932], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4117429563843715}

6.728357

1

4.925453

[ [ 0.7706036256964162, 0.7706459779125358, 0.7710090414921024, 0.7720766739107617, 0.7742015407763402, 0.7776699152568557, 0.7826897285109097, 0.7893888677675535, 0.7978190034242669, 0.8079625754565436, 0.8197415525987736, 0.8330270781119863, 0.8476494046658263, 0.8634077028846013, 0.8800794506588658, 0.8974291970779956, 0.9152165586864556, 0.9332033542016921, 0.9511598214510066, 0.9688698900349665, 0.9861355070669517, 1.00278003261989, 1.0186507371838394, 1.033620446190155, 1.0475883869975249, 1.0604803020437055, 1.0722478984349693, 1.0828677092971786, 1.0923394459221243, 1.1006839222462994, 1.1079406346027731, 1.1141650800725718, 1.119425896192666, 1.1238019032993574, 1.1273791284299919, 1.1302478864904382, 1.1324999903255628, 1.134226156396497, 1.1355136669488335, 1.1364443428101763, 1.1370928732235497, 1.137525540318684, 1.1377993658246475, 1.1379616962635342, 1.138050229891371, 1.1380934737099055, 1.1381116014120458, 1.1381176622545488, 1.1381190650109083, 1.1381192272486484, 1.1381192306941932 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.01751352832768251, -0.28685825386561353, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.411743

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D8uKYZLMd978GzLLFXQm9KY

null

false

null

false

D5EcFicCLqWhWYE823o9rqy

DmTxwdmvPSQiKASsBgVNZzM

{"qi": 0.02375294607242019, "vacuum_well": -0.03365840466674842, "aspect_ratio": 6.373873091313966, "max_elongation": 3.773737963131951, "average_triangularity": -0.16751231438553765, "axis_magnetic_mirror_ratio": 0.2696570873875096, "edge_magnetic_mirror_ratio": 0.34350472542291755, "aspect_ratio_over_edge_rotational_transform": 9.062534825651946, "flux_compression_in_regions_of_bad_curvature": 1.9098196616438095, "axis_rotational_transform_over_n_field_periods": 0.307320838026243, "edge_rotational_transform_over_n_field_periods": 0.35166061228655404, "minimum_normalized_magnetic_gradient_scale_length": 5.636143254676015}

6.373873

9.062535

-0.269131

0.269657

0.307321

0.343505

0.351661

1.90982

3.773738

5.636143

0.023753

-0.033658

{"r_cos":[[0.0,0.0,0.0,0.0,0.9904129775134958,0.461297174825836,0.06639769471555405,-0.003746004718276137,-0.005248724434325936],[0.004612871602557294,0.0017096768429167104,-0.03322895176241359,-0.0927150414042606,0.15544244999549445,0.03095315781539336,0.004506100490107072,-0.004908383598627015,-0.000026205772361146025],[-0.005124217201028231,-0.0015783327288596445,-0.011466893306717975,-0.003678290793058309,0.003154006237099466,-0.011313483270495538,0.0059070920778884015,0.00014627323501164094,-0.0003668414595879468],[0.0018656312772943329,0.0025950538994765062,0.0008439179855513825,-0.00036696852145905157,-0.0029606829522641313,0.0015644924670412607,0.0016399090993164981,-0.0005537839799687186,-0.0000466810186329948],[-0.00021300936906967435,-0.00007969318900159772,-0.00017351678909582598,0.0003438280780541916,0.000030330822162458193,-0.00023974200311333103,0.00005166710502022485,0.00003350958816738397,-0.000046815209450228515]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.7909590047047482,-0.16754221020564064,-0.03021949320854938,-0.0019054731146794304],[-0.0018263249182095642,0.012068011495903542,-0.09353137137187614,0.01050221903502363,-0.12368800365169876,-0.06230319056726981,0.020217588062160723,-0.004668380009697716,0.0009439696283513508],[-0.0021743407631360998,-0.005875365619881298,0.0041614239732029315,-0.01199917143364982,-0.004894548084248898,0.00786222555986519,-0.004736015878979763,0.0004942171420119572,0.0003358599096617308],[0.001197470939459537,0.0024341851648889447,0.003280014075004727,0.0014909467633684198,-0.0024069802455682467,-0.0017496394648292173,-0.000579826249066199,0.00022554152292627552,-0.000030001708073624568],[-0.00016777268964762748,-0.00020948760837102414,-0.0002141592232675791,0.00011777037749325485,0.00015366532401211067,-0.0001781744074267918,0.00017081858953521108,-0.0000314315985714271,0.000023263493944035112]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9904129775134958, 0.461297174825836, 0.06639769471555405, -0.003746004718276137, -0.005248724434325936 ], [ 0.004612871602557294, 0.0017096768429167104, -0.03322895176241359, -0.0927150414042606, 0.15544244999549445, 0.03095315781539336, 0.004506100490107072, -0.004908383598627015, -0.000026205772361146025 ], [ -0.005124217201028231, -0.0015783327288596445, -0.011466893306717975, -0.003678290793058309, 0.003154006237099466, -0.011313483270495538, 0.0059070920778884015, 0.00014627323501164094, -0.0003668414595879468 ], [ 0.0018656312772943329, 0.0025950538994765062, 0.0008439179855513825, -0.00036696852145905157, -0.0029606829522641313, 0.0015644924670412607, 0.0016399090993164981, -0.0005537839799687186, -0.0000466810186329948 ], [ -0.00021300936906967435, -0.00007969318900159772, -0.00017351678909582598, 0.0003438280780541916, 0.000030330822162458193, -0.00023974200311333103, 0.00005166710502022485, 0.00003350958816738397, -0.000046815209450228515 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.7909590047047482, -0.16754221020564064, -0.03021949320854938, -0.0019054731146794304 ], [ -0.0018263249182095642, 0.012068011495903542, -0.09353137137187614, 0.01050221903502363, -0.12368800365169876, -0.06230319056726981, 0.020217588062160723, -0.004668380009697716, 0.0009439696283513508 ], [ -0.0021743407631360998, -0.005875365619881298, 0.0041614239732029315, -0.01199917143364982, -0.004894548084248898, 0.00786222555986519, -0.004736015878979763, 0.0004942171420119572, 0.0003358599096617308 ], [ 0.001197470939459537, 0.0024341851648889447, 0.003280014075004727, 0.0014909467633684198, -0.0024069802455682467, -0.0017496394648292173, -0.000579826249066199, 0.00022554152292627552, -0.000030001708073624568 ], [ -0.00016777268964762748, -0.00020948760837102414, -0.0002141592232675791, 0.00011777037749325485, 0.00015366532401211067, -0.0001781744074267918, 0.00017081858953521108, -0.0000314315985714271, 0.000023263493944035112 ] ]

DkFcbdfH6wdr5BsCqPFkK5r

{"aspect_ratio": 6.353994259532847, "major_radius": 1.0, "max_elongation": 5.433257040782871, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.07939374551045622, 0.10371574281841381, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.7116621072606477, 0.711749043893273, 0.7123957936828917, 0.7141425310940557, 0.7174253146900854, 0.7225611117886375, 0.7297510892361042, 0.7390904570718474, 0.7505811039886149, 0.7641453025952615, 0.7796395600307034, 0.7968680727245754, 0.815595454044653, 0.8355585296691119, 0.856477076602222, 0.8780634366702533, 0.9000309740619916, 0.922101374657545, 0.9440108058928379, 0.9655149718455738, 0.9863931104734867, 1.006450989409087, 1.025522964053513, 1.0434731673660618, 1.0601959050406897, 1.0756153329351164, 1.089684495849789, 1.102383808176323, 1.1137190576488347, 1.123719013512639, 1.1324327199295587, 1.1399265544085488, 1.1462811295124307, 1.1515881140630349, 1.1559470475544058, 1.1594622184834358, 1.1622396738055585, 1.164384422694862, 1.1659978931949087, 1.1671756951342445, 1.1680057367737506, 1.1685667359482148, 1.1689271588189407, 1.1691446105672263, 1.1692656921410434, 1.1693263250875288, 1.1693525318857325, 1.1693616409083538, 1.1693638611288555, 1.169364137677897, 1.169364144315044], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5469490575535838}

6.353994

1

5.433257

[ [ 0.7116621072606477, 0.711749043893273, 0.7123957936828917, 0.7141425310940557, 0.7174253146900854, 0.7225611117886375, 0.7297510892361042, 0.7390904570718474, 0.7505811039886149, 0.7641453025952615, 0.7796395600307034, 0.7968680727245754, 0.815595454044653, 0.8355585296691119, 0.856477076602222, 0.8780634366702533, 0.9000309740619916, 0.922101374657545, 0.9440108058928379, 0.9655149718455738, 0.9863931104734867, 1.006450989409087, 1.025522964053513, 1.0434731673660618, 1.0601959050406897, 1.0756153329351164, 1.089684495849789, 1.102383808176323, 1.1137190576488347, 1.123719013512639, 1.1324327199295587, 1.1399265544085488, 1.1462811295124307, 1.1515881140630349, 1.1559470475544058, 1.1594622184834358, 1.1622396738055585, 1.164384422694862, 1.1659978931949087, 1.1671756951342445, 1.1680057367737506, 1.1685667359482148, 1.1689271588189407, 1.1691446105672263, 1.1692656921410434, 1.1693263250875288, 1.1693525318857325, 1.1693616409083538, 1.1693638611288555, 1.169364137677897, 1.169364144315044 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.07939374551045622, 0.10371574281841381, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.546949

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DTkc6w5KNZjpG6gJiXjY7pE

null

false

null

false

D5zvJmdCTYQdLmTkLq8cGRv

DaAeMhDLVHoxXEYKsfxc8VA

{"qi": 0.0026902467113241882, "vacuum_well": -0.11287848169969619, "aspect_ratio": 9.8820481057139, "max_elongation": 6.1522078243815805, "average_triangularity": -0.03730093094341408, "axis_magnetic_mirror_ratio": 0.2877442354665981, "edge_magnetic_mirror_ratio": 0.31287168616791333, "aspect_ratio_over_edge_rotational_transform": 11.99601761361035, "flux_compression_in_regions_of_bad_curvature": 1.4205687555154787, "axis_rotational_transform_over_n_field_periods": 0.17747528596943948, "edge_rotational_transform_over_n_field_periods": 0.1647554784264738, "minimum_normalized_magnetic_gradient_scale_length": 10.151870353074756}

9.882048

11.996018

0.036736

0.287744

0.177475

0.312872

0.164755

1.420569

6.152208

10.15187

0.00269

-0.112878

{"r_cos":[[0.0,0.0,0.0,0.0,0.9976262524153209,0.018127358119698015,-0.004739485078878053,-0.0028113668215249362,-0.00020648820006477543],[-0.000024566003578684012,-0.0016773658197843664,-0.011401446019456777,-0.055464936195873886,0.10633837684834177,0.0037110559789267084,-0.0038402533529879944,0.00004655763585256073,0.000084697708133479],[0.00015898689999663317,0.0018002343255764418,0.008152878769278851,0.016412647114783525,-0.007353003979346586,0.005843785179605888,-0.005293980580326818,0.0006905682345695662,0.00012946015084720877],[-0.00042686289649018826,-0.0007101200549052746,-0.000726687530869842,-0.0015421420298481082,0.002318715102807801,-0.00031357479785957165,-0.0005142656133500223,0.0003505386863193495,-0.0000433434719194453],[0.0002222812865095551,0.00030465195449132557,-0.0009913053358328425,8.486818892115128e-6,0.001071703100429873,-0.0007977032156389352,-0.00008212016818516727,0.00016612465726468183,-0.00005502346646754481]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03303969607767229,0.007378056163519375,0.0025112282249069575,0.00009185649638571679],[-0.00005108984485140003,-0.00011838678693967082,-0.005358066710884403,-0.07344619476397736,-0.15257959495129148,0.028691041018990632,0.00035368211529100647,0.00024809656997099835,0.00010078333695900463],[0.00003945626216281552,0.0015281115764876618,0.007944839328873674,0.022541490133372526,-0.03670004593031774,0.011957142288534344,0.0026483120117701086,-0.0010916007359850987,0.00002014338795654429],[-0.0006019122912698373,-0.002036739106002668,-0.001345104901731258,0.006053752513290652,-0.008820841856887637,0.0032167881122468545,0.0008126270932251843,-0.00045468154556842384,0.00004481793695991406],[0.000012065728883543718,0.0000344017213250074,-0.0000786994593518466,0.0002357106597462446,-0.00008576410972609129,0.0004647360398316304,-0.00001658511772686564,-0.00015986043881174871,0.000051378035439033945]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9976262524153209, 0.018127358119698015, -0.004739485078878053, -0.0028113668215249362, -0.00020648820006477543 ], [ -0.000024566003578684012, -0.0016773658197843664, -0.011401446019456777, -0.055464936195873886, 0.10633837684834177, 0.0037110559789267084, -0.0038402533529879944, 0.00004655763585256073, 0.000084697708133479 ], [ 0.00015898689999663317, 0.0018002343255764418, 0.008152878769278851, 0.016412647114783525, -0.007353003979346586, 0.005843785179605888, -0.005293980580326818, 0.0006905682345695662, 0.00012946015084720877 ], [ -0.00042686289649018826, -0.0007101200549052746, -0.000726687530869842, -0.0015421420298481082, 0.002318715102807801, -0.00031357479785957165, -0.0005142656133500223, 0.0003505386863193495, -0.0000433434719194453 ], [ 0.0002222812865095551, 0.00030465195449132557, -0.0009913053358328425, 0.000008486818892115128, 0.001071703100429873, -0.0007977032156389352, -0.00008212016818516727, 0.00016612465726468183, -0.00005502346646754481 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03303969607767229, 0.007378056163519375, 0.0025112282249069575, 0.00009185649638571679 ], [ -0.00005108984485140003, -0.00011838678693967082, -0.005358066710884403, -0.07344619476397736, -0.15257959495129148, 0.028691041018990632, 0.00035368211529100647, 0.00024809656997099835, 0.00010078333695900463 ], [ 0.00003945626216281552, 0.0015281115764876618, 0.007944839328873674, 0.022541490133372526, -0.03670004593031774, 0.011957142288534344, 0.0026483120117701086, -0.0010916007359850987, 0.00002014338795654429 ], [ -0.0006019122912698373, -0.002036739106002668, -0.001345104901731258, 0.006053752513290652, -0.008820841856887637, 0.0032167881122468545, 0.0008126270932251843, -0.00045468154556842384, 0.00004481793695991406 ], [ 0.000012065728883543718, 0.0000344017213250074, -0.0000786994593518466, 0.0002357106597462446, -0.00008576410972609129, 0.0004647360398316304, -0.00001658511772686564, -0.00015986043881174871, 0.000051378035439033945 ] ]

DSjcc6uN2Daeq5mSwij6xXF

{"aspect_ratio": 11.24282070429653, "major_radius": 1.0, "max_elongation": 5.766167749891581, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.1488403872112644, -0.011109912037754634, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7769968171809897, 0.776996823138254, 0.776997098734024, 0.7769994561773318, 0.7770095655631795, 0.777039631282, 0.7771110321985677, 0.7772566765145446, 0.7775229022242384, 0.7779708080168222, 0.7786769400992879, 0.7797332929191091, 0.7812466087649729, 0.7833369841967023, 0.7861358111107642, 0.7897830975780988, 0.7944242287990763, 0.8002062418878044, 0.8072736999249619, 0.8157642609476555, 0.8258040463769186, 0.8375029208859823, 0.8509498019261984, 0.8662081220703006, 0.8833115710013668, 0.902260246346877, 0.9230173435863109, 0.9455065148809, 0.9696100247930806, 0.995167827358526, 1.0219776836864747, 1.0497964319899786, 1.07834251242375, 1.1072998369940574, 1.1363230796608823, 1.165044442995774, 1.193081934613023, 1.220049158001727, 1.2455665868890073, 1.269274247782412, 1.2908456788400704, 1.3100029601303338, 1.3265325135170682, 1.3403012381427202, 1.3512723595843443, 1.3595200900032967, 1.3652417484450097, 1.3687652084042579, 1.3705479914820542, 1.371160594219384, 1.3712333057095272], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8352614151853865}

11.242821

1

5.766168

[ [ 0.7769968171809897, 0.776996823138254, 0.776997098734024, 0.7769994561773318, 0.7770095655631795, 0.777039631282, 0.7771110321985677, 0.7772566765145446, 0.7775229022242384, 0.7779708080168222, 0.7786769400992879, 0.7797332929191091, 0.7812466087649729, 0.7833369841967023, 0.7861358111107642, 0.7897830975780988, 0.7944242287990763, 0.8002062418878044, 0.8072736999249619, 0.8157642609476555, 0.8258040463769186, 0.8375029208859823, 0.8509498019261984, 0.8662081220703006, 0.8833115710013668, 0.902260246346877, 0.9230173435863109, 0.9455065148809, 0.9696100247930806, 0.995167827358526, 1.0219776836864747, 1.0497964319899786, 1.07834251242375, 1.1072998369940574, 1.1363230796608823, 1.165044442995774, 1.193081934613023, 1.220049158001727, 1.2455665868890073, 1.269274247782412, 1.2908456788400704, 1.3100029601303338, 1.3265325135170682, 1.3403012381427202, 1.3512723595843443, 1.3595200900032967, 1.3652417484450097, 1.3687652084042579, 1.3705479914820542, 1.371160594219384, 1.3712333057095272 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.1488403872112644, -0.011109912037754634, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.835261

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DDjTfv66fc2f8yq4jpVRHtn

null

false

null

false

DYitbPah8qsTS6YSikAE4YP

DM9guxSyYYLnvGuo2jJeSAJ

{"qi": 0.014395213192353611, "vacuum_well": -0.047607698037134716, "aspect_ratio": 6.773801494834631, "max_elongation": 3.3266610743472964, "average_triangularity": 0.05202091634154823, "axis_magnetic_mirror_ratio": 0.34701661137406126, "edge_magnetic_mirror_ratio": 0.4152917413220259, "aspect_ratio_over_edge_rotational_transform": 7.15454991073931, "flux_compression_in_regions_of_bad_curvature": 1.3913609039027117, "axis_rotational_transform_over_n_field_periods": 0.28993523576752933, "edge_rotational_transform_over_n_field_periods": 0.3155941128067722, "minimum_normalized_magnetic_gradient_scale_length": 5.112502261164647}

6.773801

7.15455

0.043941

0.347017

0.289935

0.415292

0.315594

1.391361

3.326661

5.112502

0.014395

-0.047608

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.2787597500658571,0.0472453335137977,0.0035870124295200104,0.00029644457743237783],[-0.00023385208118003274,-0.012199661877155755,-0.021162490162893628,-0.07407851066935091,0.12182073924386204,0.01339627624551705,0.017735437138033792,0.00426894351731854,0.0016623314914856022],[-0.000018549520972149997,0.009644693347257646,0.012516369705370956,-0.018398888656718924,-0.007847841720849486,-0.008960012705462149,0.005276105555326565,0.0017849312978253408,-0.0005763796130873143],[-0.001231897475474163,-0.00005398880106454845,0.0017624893171520528,-0.0034085154377150235,-0.0005008363757102938,0.002423384600810818,-0.00008295550122191468,-0.00032591048411207297,-0.00015184858439799408],[-0.00019969648992100922,0.0001699725409470673,0.0003669766379375822,-0.0009745388970132775,0.00018445189956324548,0.00011078644732432762,-0.00014664031848827955,0.00004323298516497936,0.00012103828677067271]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.5736125878822743,-0.07264742489921491,-0.014982463071324413,0.0002430133922234328],[-0.0034503256901706855,-0.004588164652673806,-0.08122917432906501,0.029311502359870227,-0.1494566933531581,-0.07140076740874671,-0.0005188157748455061,-0.011120414895061482,-0.0025913353095682943],[0.000604990969291362,0.016960011917675127,0.006784335026048874,-0.010682979683424637,0.0065134954303980325,0.014873828418019227,-0.006898601534219232,-0.0011464159415469199,-0.00024721653456300484],[-0.0025307167906105203,0.0005610449305971547,-0.005797825913585098,-0.003046234012505043,0.006990907936696149,-0.0027474078470810766,-0.000481191771280707,-0.00004695221701254786,0.00010046685924681802],[-0.00006204009631804791,0.0009501771289769513,-0.0007747293999551434,0.0007838600293908619,0.0010128950494753624,-0.000724980995467941,0.000446955775806664,-0.00016674973688140035,-0.00005104040313405741]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.2787597500658571, 0.0472453335137977, 0.0035870124295200104, 0.00029644457743237783 ], [ -0.00023385208118003274, -0.012199661877155755, -0.021162490162893628, -0.07407851066935091, 0.12182073924386204, 0.01339627624551705, 0.017735437138033792, 0.00426894351731854, 0.0016623314914856022 ], [ -0.000018549520972149997, 0.009644693347257646, 0.012516369705370956, -0.018398888656718924, -0.007847841720849486, -0.008960012705462149, 0.005276105555326565, 0.0017849312978253408, -0.0005763796130873143 ], [ -0.001231897475474163, -0.00005398880106454845, 0.0017624893171520528, -0.0034085154377150235, -0.0005008363757102938, 0.002423384600810818, -0.00008295550122191468, -0.00032591048411207297, -0.00015184858439799408 ], [ -0.00019969648992100922, 0.0001699725409470673, 0.0003669766379375822, -0.0009745388970132775, 0.00018445189956324548, 0.00011078644732432762, -0.00014664031848827955, 0.00004323298516497936, 0.00012103828677067271 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.5736125878822743, -0.07264742489921491, -0.014982463071324413, 0.0002430133922234328 ], [ -0.0034503256901706855, -0.004588164652673806, -0.08122917432906501, 0.029311502359870227, -0.1494566933531581, -0.07140076740874671, -0.0005188157748455061, -0.011120414895061482, -0.0025913353095682943 ], [ 0.000604990969291362, 0.016960011917675127, 0.006784335026048874, -0.010682979683424637, 0.0065134954303980325, 0.014873828418019227, -0.006898601534219232, -0.0011464159415469199, -0.00024721653456300484 ], [ -0.0025307167906105203, 0.0005610449305971547, -0.005797825913585098, -0.003046234012505043, 0.006990907936696149, -0.0027474078470810766, -0.000481191771280707, -0.00004695221701254786, 0.00010046685924681802 ], [ -0.00006204009631804791, 0.0009501771289769513, -0.0007747293999551434, 0.0007838600293908619, 0.0010128950494753624, -0.000724980995467941, 0.000446955775806664, -0.00016674973688140035, -0.00005104040313405741 ] ]

DTez9ExNR4kxcTq3Xoeue3w

{"aspect_ratio": 6.755592736019966, "major_radius": 1.0, "max_elongation": 6.377653664586751, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.08578258065223568, 0.38310248498620325, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6125567970615367, 0.6126232043890599, 0.6131992460875038, 0.6149067234690636, 0.6183256987825486, 0.6239346095139624, 0.6320884394410771, 0.6430139145597696, 0.6568140460241975, 0.6734781434966439, 0.6928950165228074, 0.7148678940522972, 0.7391300616865117, 0.7653605126806353, 0.7931991087170723, 0.8222608884132303, 0.8521492663496865, 0.8824679452714292, 0.9128314264857326, 0.9428740531371826, 0.9722575611647734, 1.0006771455227192, 1.02786607621763, 1.0535989209940904, 1.077693449909713, 1.1000113121951571, 1.1204575881626642, 1.1389793288682615, 1.1555632040266441, 1.170232384540462, 1.1830427901051153, 1.1940788348149687, 1.2034488046234761, 1.2112799999667736, 1.2177137748919036, 1.2229006006579155, 1.2269952769989367, 1.2301524080273105, 1.2325222520601202, 1.23424704539088, 1.2354578890783732, 1.2362722750150976, 1.2367923126286025, 1.2371037002228358, 1.2372754646999553, 1.2373604695020175, 1.237396661975771, 1.237408996190806, 1.2374119223247544, 1.2374122726085175, 1.2374122804718022], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8353361020249425}

6.755593

1

6.377654

[ [ 0.6125567970615367, 0.6126232043890599, 0.6131992460875038, 0.6149067234690636, 0.6183256987825486, 0.6239346095139624, 0.6320884394410771, 0.6430139145597696, 0.6568140460241975, 0.6734781434966439, 0.6928950165228074, 0.7148678940522972, 0.7391300616865117, 0.7653605126806353, 0.7931991087170723, 0.8222608884132303, 0.8521492663496865, 0.8824679452714292, 0.9128314264857326, 0.9428740531371826, 0.9722575611647734, 1.0006771455227192, 1.02786607621763, 1.0535989209940904, 1.077693449909713, 1.1000113121951571, 1.1204575881626642, 1.1389793288682615, 1.1555632040266441, 1.170232384540462, 1.1830427901051153, 1.1940788348149687, 1.2034488046234761, 1.2112799999667736, 1.2177137748919036, 1.2229006006579155, 1.2269952769989367, 1.2301524080273105, 1.2325222520601202, 1.23424704539088, 1.2354578890783732, 1.2362722750150976, 1.2367923126286025, 1.2371037002228358, 1.2372754646999553, 1.2373604695020175, 1.237396661975771, 1.237408996190806, 1.2374119223247544, 1.2374122726085175, 1.2374122804718022 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.08578258065223568, 0.38310248498620325, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.835336

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DHdUPMhhPmp5nTeibe85g6p

null

false

null

false

D8ccZp5jtxMQQyBeJ4iN3rk

D7GwcELVAmimUFJsRZCUNqL

{"qi": 0.016871178719691238, "vacuum_well": -0.13978880031096388, "aspect_ratio": 7.251606090013875, "max_elongation": 6.933587503726426, "average_triangularity": -0.5075002918961531, "axis_magnetic_mirror_ratio": 0.5622294380401377, "edge_magnetic_mirror_ratio": 0.9239494854701215, "aspect_ratio_over_edge_rotational_transform": 20.552535457708007, "flux_compression_in_regions_of_bad_curvature": 1.6542518411257117, "axis_rotational_transform_over_n_field_periods": 0.1563925832069733, "edge_rotational_transform_over_n_field_periods": 0.11761089209546065, "minimum_normalized_magnetic_gradient_scale_length": 2.08744879572796}

7.251606

20.552535

-0.866555

0.562229

0.156393

0.923949

0.117611

1.654252

6.933588

2.087449

0.016871

-0.139789

{"r_cos":[[0.0,0.0,0.0,0.0,0.9957410148764255,0.27846821630158214,-0.04266849450724222,-0.01308598643275483,0.0020495344848478984],[-0.003177450232018388,-0.001209757314763524,0.0033165735707235654,-0.08399970877307315,0.1190662021535101,-0.021506640091931175,0.011930873242558981,0.005195576150821156,0.0004984064667295941],[0.0009231881739357934,0.001096235087613761,-0.0036963012586391096,0.003176639614215299,-0.023018670252256367,0.0027264177765693163,-0.0014032020337366902,-0.0008601731817567647,-0.0003417652260253351],[0.0001865055679108934,0.0002509938516896778,0.0005019897552394371,0.0019928833681706285,0.0034853080820203223,-0.0028839341736451177,0.0019527527117938425,-0.00043468753697691314,0.0001692571772934401],[-0.00008612325459061255,0.00010379368672120337,-0.00016200691796331625,-0.0008048098689070393,0.0003767356262294364,-0.00024208032085249343,-0.00006283929806552436,0.00020291886922519384,-0.00011190899432570643]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.008934273851083079,-0.0014129163476265432,-0.0032431561148407216,-0.00007201484072699195],[-0.0013086894015302895,0.002890551693560058,0.013562320761244112,-0.05148381717410318,-0.1723958407472035,-0.0009256450239335905,0.0006991168302367913,0.00185413184426008,-0.0006364789790424753],[0.0013028155959876556,-0.0029906132761243574,0.01089043214962759,0.022472709464142527,-0.014776970552942595,-0.011561774453564152,0.005327794049999921,-0.0016802978186757076,0.00012324063325480313],[-0.0003077079848925542,0.00036803832832877254,-0.005534612337477868,0.006145479831819581,-0.005033572603732891,0.0016327051209848666,-0.000030287829183457075,0.0006960154475350732,-0.00022207253607541184],[0.00018334426888461412,-0.00019980588013701357,0.0002660414024848747,-0.0004217403281218991,-0.0007160156827331343,0.0006382549813853864,-0.00008246884169964405,-0.0003230107781208182,0.00011113757194223812]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9957410148764255, 0.27846821630158214, -0.04266849450724222, -0.01308598643275483, 0.0020495344848478984 ], [ -0.003177450232018388, -0.001209757314763524, 0.0033165735707235654, -0.08399970877307315, 0.1190662021535101, -0.021506640091931175, 0.011930873242558981, 0.005195576150821156, 0.0004984064667295941 ], [ 0.0009231881739357934, 0.001096235087613761, -0.0036963012586391096, 0.003176639614215299, -0.023018670252256367, 0.0027264177765693163, -0.0014032020337366902, -0.0008601731817567647, -0.0003417652260253351 ], [ 0.0001865055679108934, 0.0002509938516896778, 0.0005019897552394371, 0.0019928833681706285, 0.0034853080820203223, -0.0028839341736451177, 0.0019527527117938425, -0.00043468753697691314, 0.0001692571772934401 ], [ -0.00008612325459061255, 0.00010379368672120337, -0.00016200691796331625, -0.0008048098689070393, 0.0003767356262294364, -0.00024208032085249343, -0.00006283929806552436, 0.00020291886922519384, -0.00011190899432570643 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.008934273851083079, -0.0014129163476265432, -0.0032431561148407216, -0.00007201484072699195 ], [ -0.0013086894015302895, 0.002890551693560058, 0.013562320761244112, -0.05148381717410318, -0.1723958407472035, -0.0009256450239335905, 0.0006991168302367913, 0.00185413184426008, -0.0006364789790424753 ], [ 0.0013028155959876556, -0.0029906132761243574, 0.01089043214962759, 0.022472709464142527, -0.014776970552942595, -0.011561774453564152, 0.005327794049999921, -0.0016802978186757076, 0.00012324063325480313 ], [ -0.0003077079848925542, 0.00036803832832877254, -0.005534612337477868, 0.006145479831819581, -0.005033572603732891, 0.0016327051209848666, -0.000030287829183457075, 0.0006960154475350732, -0.00022207253607541184 ], [ 0.00018334426888461412, -0.00019980588013701357, 0.0002660414024848747, -0.0004217403281218991, -0.0007160156827331343, 0.0006382549813853864, -0.00008246884169964405, -0.0003230107781208182, 0.00011113757194223812 ] ]

DXm8W4Buwcfm6gGEQzYCKgE

{"aspect_ratio": 7.202659986337204, "major_radius": 1.0, "max_elongation": 6.706527306439028, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2625332137091648, -0.09895722090394207, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6500738618156929, 0.6500812687658162, 0.6501608980499688, 0.6504366048922726, 0.6510625486491181, 0.6522086207055027, 0.6540508665091838, 0.656764388481699, 0.6605178177981799, 0.6654689054658739, 0.671760973902178, 0.6795200645261666, 0.6888526692694434, 0.6998439655301258, 0.7125564944030746, 0.7270292357176144, 0.743277043023492, 0.7612904086284502, 0.7810355339736943, 0.8024546845806158, 0.8254668118671133, 0.8499684265517619, 0.8758347103020354, 0.902920853853642, 0.9310636111141442, 0.9600830598255632, 0.9897845602419888, 1.0199609040124984, 1.0503946460716873, 1.080860612848305, 1.111128580520369, 1.140966117382015, 1.1701415846490497, 1.1984272902189135, 1.225602790015131, 1.2514583315807122, 1.2757984345280495, 1.2984456022859834, 1.3192441592778588, 1.3380642071705213, 1.354805693078366, 1.3694025814671105, 1.3818271197743988, 1.392094185090018, 1.4002656949530665, 1.406455058109618, 1.410831628082626, 1.4136250967174242, 1.4151297067324684, 1.4157079991294341, 1.4157930878599663], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4530515772169328}

7.20266

1

6.706527

[ [ 0.6500738618156929, 0.6500812687658162, 0.6501608980499688, 0.6504366048922726, 0.6510625486491181, 0.6522086207055027, 0.6540508665091838, 0.656764388481699, 0.6605178177981799, 0.6654689054658739, 0.671760973902178, 0.6795200645261666, 0.6888526692694434, 0.6998439655301258, 0.7125564944030746, 0.7270292357176144, 0.743277043023492, 0.7612904086284502, 0.7810355339736943, 0.8024546845806158, 0.8254668118671133, 0.8499684265517619, 0.8758347103020354, 0.902920853853642, 0.9310636111141442, 0.9600830598255632, 0.9897845602419888, 1.0199609040124984, 1.0503946460716873, 1.080860612848305, 1.111128580520369, 1.140966117382015, 1.1701415846490497, 1.1984272902189135, 1.225602790015131, 1.2514583315807122, 1.2757984345280495, 1.2984456022859834, 1.3192441592778588, 1.3380642071705213, 1.354805693078366, 1.3694025814671105, 1.3818271197743988, 1.392094185090018, 1.4002656949530665, 1.406455058109618, 1.410831628082626, 1.4136250967174242, 1.4151297067324684, 1.4157079991294341, 1.4157930878599663 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.2625332137091648, -0.09895722090394207, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.453052

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DKKDoGZXVDpcZWXYfvNKyUq

null

false

null

false

DRLpsTxgyHMpN58DQtoLiKD

DMNvStzGURr4Q6ZqQbtRNJQ

{"qi": 0.01145615662588024, "vacuum_well": -0.1141163241396497, "aspect_ratio": 8.79593867256641, "max_elongation": 6.080961812181558, "average_triangularity": 0.30365400606170545, "axis_magnetic_mirror_ratio": 0.27187335127728923, "edge_magnetic_mirror_ratio": 0.35922732941078234, "aspect_ratio_over_edge_rotational_transform": 9.052734164999055, "flux_compression_in_regions_of_bad_curvature": 1.4600939635051817, "axis_rotational_transform_over_n_field_periods": 0.2163004112657653, "edge_rotational_transform_over_n_field_periods": 0.3238777925080541, "minimum_normalized_magnetic_gradient_scale_length": 4.37841026528848}

8.795939

9.052734

0.395969

0.271873

0.2163

0.359227

0.323878

1.460094

6.080962

4.37841

0.011456

-0.114116

{"r_cos":[[0.0,0.0,0.0,0.0,0.9987307977951894,-0.047421886729931195,-0.04687818370605647,-0.00039817801296258235,0.000820341918888387],[0.0029745027847768333,0.019183725089748152,0.013897733341435344,-0.07864212061200646,0.13296294738309436,-0.0049156781103000605,-0.013083858261864721,-0.003185244869319783,0.00016510938415792193],[0.001264419491959617,0.01255514187646841,0.00521274581611382,-0.01145509852072921,-0.007352998925055237,0.010152908286347385,-0.0028912175244928603,0.00022249107892117776,-0.0006390724748074343],[-0.003288785926899478,-0.00289260531061748,0.0033634600693463025,-0.008571997006779743,0.001176242565874877,0.0024298076958390413,0.0004957651945238673,0.0002688474399042797,-0.00007317693591669689],[0.0009788738219237891,0.0013811729221329958,-0.00197431029918143,-0.0008659121553011408,0.00021673363587558676,0.00010828060420105522,-0.000024211415078112617,0.00016136450617336678,0.00006142537608644404]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.29738689581203454,0.037546597204477686,0.0005711482698034813,-0.00040447380968212064],[0.007152292140591125,0.013467239709349321,0.015371879065749796,-0.06050301383466504,-0.13529307301024468,0.01911842260555857,-0.0025181028732436635,0.008971536828890486,-0.0009506909363164989],[0.004285524397279607,0.005072475005132871,0.00825083671080858,-0.006467919059916864,0.00041972096330043844,-0.001526221007919056,-0.002147540643173012,0.0012484950961901824,0.0003561832348855376],[-0.0030276595779142345,-0.0005831277122495622,-0.001358773208867137,0.006217324158143295,0.0008105705973904143,-0.0014583056149021934,-0.0005922678862356646,-0.00007184571866190203,-0.0001274932616191736],[0.0007767537817561575,-0.0012250598892912133,-0.00006658805294855203,0.0014194157972946778,-0.00005361608607966015,-0.0003056269947586162,0.00007547222000914029,-0.00012352352599819688,-0.000018339398612643844]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9987307977951894, -0.047421886729931195, -0.04687818370605647, -0.00039817801296258235, 0.000820341918888387 ], [ 0.0029745027847768333, 0.019183725089748152, 0.013897733341435344, -0.07864212061200646, 0.13296294738309436, -0.0049156781103000605, -0.013083858261864721, -0.003185244869319783, 0.00016510938415792193 ], [ 0.001264419491959617, 0.01255514187646841, 0.00521274581611382, -0.01145509852072921, -0.007352998925055237, 0.010152908286347385, -0.0028912175244928603, 0.00022249107892117776, -0.0006390724748074343 ], [ -0.003288785926899478, -0.00289260531061748, 0.0033634600693463025, -0.008571997006779743, 0.001176242565874877, 0.0024298076958390413, 0.0004957651945238673, 0.0002688474399042797, -0.00007317693591669689 ], [ 0.0009788738219237891, 0.0013811729221329958, -0.00197431029918143, -0.0008659121553011408, 0.00021673363587558676, 0.00010828060420105522, -0.000024211415078112617, 0.00016136450617336678, 0.00006142537608644404 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.29738689581203454, 0.037546597204477686, 0.0005711482698034813, -0.00040447380968212064 ], [ 0.007152292140591125, 0.013467239709349321, 0.015371879065749796, -0.06050301383466504, -0.13529307301024468, 0.01911842260555857, -0.0025181028732436635, 0.008971536828890486, -0.0009506909363164989 ], [ 0.004285524397279607, 0.005072475005132871, 0.00825083671080858, -0.006467919059916864, 0.00041972096330043844, -0.001526221007919056, -0.002147540643173012, 0.0012484950961901824, 0.0003561832348855376 ], [ -0.0030276595779142345, -0.0005831277122495622, -0.001358773208867137, 0.006217324158143295, 0.0008105705973904143, -0.0014583056149021934, -0.0005922678862356646, -0.00007184571866190203, -0.0001274932616191736 ], [ 0.0007767537817561575, -0.0012250598892912133, -0.00006658805294855203, 0.0014194157972946778, -0.00005361608607966015, -0.0003056269947586162, 0.00007547222000914029, -0.00012352352599819688, -0.000018339398612643844 ] ]

Dmzy3kbcTiuXgVS9DkbsC4V

{"aspect_ratio": 8.640784960482009, "major_radius": 1.0, "max_elongation": 5.764315252013848, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0059858473286315455, -0.27872503385112446, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.7326388594772575, 0.7326398144392537, 0.732657027878448, 0.7327385220576458, 0.7329672634796264, 0.7334570226363789, 0.734346185546005, 0.7357907084208857, 0.7379568222554272, 0.7410138562009192, 0.7451274233254118, 0.7504531363362387, 0.757130970159212, 0.7652803521080374, 0.7749960332191774, 0.786344773091605, 0.7993628534187165, 0.8140544211718687, 0.8303906503274678, 0.8483097005994892, 0.8677174424774565, 0.8884889097080524, 0.9104704329968939, 0.9334824019935201, 0.9573225964389139, 0.9817700216069658, 1.0065891777829863, 1.0315346884305727, 1.0563562068493106, 1.0808035164733036, 1.1046317354625237, 1.1276065318565478, 1.149509251255692, 1.1701418547298466, 1.189331560390054, 1.2069350777472267, 1.2228423195740639, 1.2369794714164966, 1.249311294088777, 1.2598425293244504, 1.2686182730963496, 1.275723174751604, 1.2812793127185316, 1.2854425886425926, 1.2883974705982477, 1.2903499011107553, 1.2915181644973373, 1.2921214751116792, 1.2923659907380247, 1.2924278369905986, 1.2924323949915524], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5914358510580038}

8.640785

1

5.764315

[ [ 0.7326388594772575, 0.7326398144392537, 0.732657027878448, 0.7327385220576458, 0.7329672634796264, 0.7334570226363789, 0.734346185546005, 0.7357907084208857, 0.7379568222554272, 0.7410138562009192, 0.7451274233254118, 0.7504531363362387, 0.757130970159212, 0.7652803521080374, 0.7749960332191774, 0.786344773091605, 0.7993628534187165, 0.8140544211718687, 0.8303906503274678, 0.8483097005994892, 0.8677174424774565, 0.8884889097080524, 0.9104704329968939, 0.9334824019935201, 0.9573225964389139, 0.9817700216069658, 1.0065891777829863, 1.0315346884305727, 1.0563562068493106, 1.0808035164733036, 1.1046317354625237, 1.1276065318565478, 1.149509251255692, 1.1701418547298466, 1.189331560390054, 1.2069350777472267, 1.2228423195740639, 1.2369794714164966, 1.249311294088777, 1.2598425293244504, 1.2686182730963496, 1.275723174751604, 1.2812793127185316, 1.2854425886425926, 1.2883974705982477, 1.2903499011107553, 1.2915181644973373, 1.2921214751116792, 1.2923659907380247, 1.2924278369905986, 1.2924323949915524 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.0059858473286315455, -0.27872503385112446, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.591436

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DF2hCUoTRVJstEtgAL6cmKW

null

false

null

false

D7tCkfR9yR7PictTBvfZo4a

DK875i6sHGZh2wmvEs4cQ6U

{"qi": 0.023948483913149653, "vacuum_well": -0.2145829350929169, "aspect_ratio": 6.753681856775513, "max_elongation": 8.581214572045337, "average_triangularity": -0.26503250674178275, "axis_magnetic_mirror_ratio": 0.6302019541644979, "edge_magnetic_mirror_ratio": 0.8653171482931105, "aspect_ratio_over_edge_rotational_transform": 5.427943173282916, "flux_compression_in_regions_of_bad_curvature": 2.9261694881082665, "axis_rotational_transform_over_n_field_periods": 0.2551123916826261, "edge_rotational_transform_over_n_field_periods": 0.2488486574442439, "minimum_normalized_magnetic_gradient_scale_length": 2.428962076966312}

6.753682

5.427943

-0.325569

0.630202

0.255112

0.865317

0.248849

2.926169

8.581215

2.428962

0.023948

-0.214583

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.17387513253457296,-0.0452386854116691,-0.0071185305928261325,0.001953300848002215],[-0.00039121122922816204,0.007015398847483561,0.03819035656070132,0.06909650923373357,0.07273844529447071,-0.043813471066578444,0.014625629942317421,0.0002476801098712598,-0.0007049899721713767],[0.00006161872262032288,-0.003889635666412857,-0.01069959613990759,-0.005766097533828296,-0.009374483743390255,0.0017032444201356177,-0.003488449265670763,0.00035317689718952663,0.00002714153197095069],[0.00012056992849882034,0.0013346795083926154,0.002708967275784953,0.00019316537359857197,0.00021566977252896347,-0.0003275465499273384,0.000023654204735579307,0.00033385857400491145,-0.00016344525106984275],[0.00010425649391745817,-0.0001408799025196621,-0.00034373789524431,0.00008928564491925226,-0.0003881394037548499,-7.922501767458796e-6,4.086959806614356e-6,-0.000025645712394630404,-0.00002456921980799681]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07224917283419355,0.03700663693060114,0.003284657792878898,-0.0008276571719672259],[0.00029285058427745887,0.017787828106219677,0.06593082421402764,0.019419439708225544,-0.24095022273188244,0.10582147208530276,-0.03981294029130759,0.00714318373195562,-0.0017127085528914924],[-0.001092795102814674,-0.010280993389841573,-0.01922128932169343,0.0025226045936909726,0.017151003732222614,-0.01892192555410796,0.015828051916701613,-0.003998569728991352,0.0007425443818439377],[-0.00016541176448560353,-0.0004592249000255598,-0.003565986883187071,-0.004785525387176541,-0.00016345771296824642,-0.00030709662242996713,0.00034668612513165517,-0.0002572838885134446,2.048264783254477e-6],[-0.000208391233261312,-0.0006312419056912757,0.00021919181264940142,0.0005872057307793972,0.00023875856666774847,3.5491672822540645e-6,0.00022700574167374733,-0.00017480730487389262,0.00009110722930468266]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.17387513253457296, -0.0452386854116691, -0.0071185305928261325, 0.001953300848002215 ], [ -0.00039121122922816204, 0.007015398847483561, 0.03819035656070132, 0.06909650923373357, 0.07273844529447071, -0.043813471066578444, 0.014625629942317421, 0.0002476801098712598, -0.0007049899721713767 ], [ 0.00006161872262032288, -0.003889635666412857, -0.01069959613990759, -0.005766097533828296, -0.009374483743390255, 0.0017032444201356177, -0.003488449265670763, 0.00035317689718952663, 0.00002714153197095069 ], [ 0.00012056992849882034, 0.0013346795083926154, 0.002708967275784953, 0.00019316537359857197, 0.00021566977252896347, -0.0003275465499273384, 0.000023654204735579307, 0.00033385857400491145, -0.00016344525106984275 ], [ 0.00010425649391745817, -0.0001408799025196621, -0.00034373789524431, 0.00008928564491925226, -0.0003881394037548499, -0.000007922501767458796, 0.000004086959806614356, -0.000025645712394630404, -0.00002456921980799681 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07224917283419355, 0.03700663693060114, 0.003284657792878898, -0.0008276571719672259 ], [ 0.00029285058427745887, 0.017787828106219677, 0.06593082421402764, 0.019419439708225544, -0.24095022273188244, 0.10582147208530276, -0.03981294029130759, 0.00714318373195562, -0.0017127085528914924 ], [ -0.001092795102814674, -0.010280993389841573, -0.01922128932169343, 0.0025226045936909726, 0.017151003732222614, -0.01892192555410796, 0.015828051916701613, -0.003998569728991352, 0.0007425443818439377 ], [ -0.00016541176448560353, -0.0004592249000255598, -0.003565986883187071, -0.004785525387176541, -0.00016345771296824642, -0.00030709662242996713, 0.00034668612513165517, -0.0002572838885134446, 0.000002048264783254477 ], [ -0.000208391233261312, -0.0006312419056912757, 0.00021919181264940142, 0.0005872057307793972, 0.00023875856666774847, 0.0000035491672822540645, 0.00022700574167374733, -0.00017480730487389262, 0.00009110722930468266 ] ]

DFr7zkRezw27kW54kJHWD4z

{"aspect_ratio": 6.102976984119668, "major_radius": 1.0, "max_elongation": 6.7711003026956424, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.22287257731596988, 0.016942778597631547, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.5663084486031308, 0.5664872594359293, 0.5676960750656254, 0.5707810634529444, 0.5763642186558822, 0.5848605635314043, 0.596502667692338, 0.611366318704018, 0.6293955682681001, 0.6504264247883254, 0.6742088562125715, 0.7004269485791308, 0.7287171616715774, 0.7586846788624529, 0.7899178827780033, 0.8220010109587372, 0.8545250609501802, 0.887097024860602, 0.9193475409102112, 0.950937054818195, 0.9815605876368563, 1.0109512092467063, 1.0388823184447835, 1.065168831579467, 1.0896673821421006, 1.112275633714206, 1.1329308082576603, 1.1516075309732468, 1.1683150918752998, 1.1830942228605137, 1.196013487401989, 1.2071653780825242, 1.2166622149943138, 1.2246319355695907, 1.231213863655789, 1.2365545425898041, 1.2408037136311798, 1.244110517345913, 1.2466199913410865, 1.2484699330695281, 1.249788191164964, 1.250690442812676, 1.251278507844815, 1.2516392423422353, 1.251844045189243, 1.2519489997524027, 1.2519956588204042, 1.2520124627441618, 1.252016755709393, 1.25201732754502, 1.2520173428627634], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.3278827912109712}

6.102977

1

6.7711

[ [ 0.5663084486031308, 0.5664872594359293, 0.5676960750656254, 0.5707810634529444, 0.5763642186558822, 0.5848605635314043, 0.596502667692338, 0.611366318704018, 0.6293955682681001, 0.6504264247883254, 0.6742088562125715, 0.7004269485791308, 0.7287171616715774, 0.7586846788624529, 0.7899178827780033, 0.8220010109587372, 0.8545250609501802, 0.887097024860602, 0.9193475409102112, 0.950937054818195, 0.9815605876368563, 1.0109512092467063, 1.0388823184447835, 1.065168831579467, 1.0896673821421006, 1.112275633714206, 1.1329308082576603, 1.1516075309732468, 1.1683150918752998, 1.1830942228605137, 1.196013487401989, 1.2071653780825242, 1.2166622149943138, 1.2246319355695907, 1.231213863655789, 1.2365545425898041, 1.2408037136311798, 1.244110517345913, 1.2466199913410865, 1.2484699330695281, 1.249788191164964, 1.250690442812676, 1.251278507844815, 1.2516392423422353, 1.251844045189243, 1.2519489997524027, 1.2519956588204042, 1.2520124627441618, 1.252016755709393, 1.25201732754502, 1.2520173428627634 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.22287257731596988, 0.016942778597631547, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.327883

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D3PFAJ3GHhbwmMCEap58iSk

null

false

null

false

D4pFbovW6HZGZew9SqUZiwA

DFcXg3oCZUzXopRE9EsQPV2

{"qi": 0.0017315250788651174, "vacuum_well": -0.06073976083337834, "aspect_ratio": 9.541939613477462, "max_elongation": 6.592092356586828, "average_triangularity": -0.45951217608819395, "axis_magnetic_mirror_ratio": 0.3488157418718181, "edge_magnetic_mirror_ratio": 0.4058586912068541, "aspect_ratio_over_edge_rotational_transform": 64.29322464624288, "flux_compression_in_regions_of_bad_curvature": 1.5707783606255192, "axis_rotational_transform_over_n_field_periods": 0.21207093249369563, "edge_rotational_transform_over_n_field_periods": 0.14841283301591357, "minimum_normalized_magnetic_gradient_scale_length": 2.822097757361579}

9.54194

64.293225

-0.378517

0.348816

0.212071

0.405859

0.148413

1.570778

6.592092

2.822098

0.001732

-0.06074

{"r_cos":[[0.0,0.0,0.0,0.0,0.9953610843200256,-0.13808023646787326,-0.1633365735621636,0.019510037043262034,-0.0006255550065722144],[0.004552534276028115,-0.043682651247005884,0.024049594955805352,0.020439557461108863,0.0725521548593322,-0.028409425034224188,0.05225138045274364,-0.014121471578557206,-0.004082945642996448],[-0.0009959127067146391,0.00001830130787707114,-0.012007640649454084,0.007124224333708408,0.0020525761961166997,-0.0017225426151559592,-0.004407892104647829,-0.00164345898263016,0.0013923078681167347],[-0.000258891864561097,0.001146496447712103,-0.0011374290884583278,-0.004030559812906075,0.007686892656983431,0.002904398757703726,0.00011952272288272259,-0.0012144168632220063,0.0012748076129342712],[-0.00007989281777764408,-0.00033783992306828884,0.0006888694013603212,-0.00017193421335953262,-0.0010064279735903636,0.001197533146167897,-0.000017036433316247634,1.7578610795750647e-6,-0.00003804954638691674]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.15031624632359436,-0.07144229548476852,-0.02796708552911692,0.017827111216464898],[0.002638190652735648,-0.026236695581394995,0.04576874746696105,-0.10164699160829285,-0.11069358310795063,0.11247536006945286,-0.019812655906436077,0.0030719570502779764,0.0015658078393552283],[0.0007600485335304276,0.0004749480918359489,-0.01880037272343069,-0.0004770536955426641,0.012612167256167385,-0.008338660666225538,-0.00888497655257486,0.0023508487199340625,-0.0010070606077841066],[-0.00041770577830166274,0.001229660707491027,-0.005438549117751657,0.0013678819095240434,-0.001467252456397579,-0.00037396414095217903,-0.001903203980592725,0.0017230760679402574,-0.0007215658379973143],[0.00009839668107012906,-0.000511443351933752,0.0011941857254729737,-0.0015567726488629934,0.000844269623907491,-0.00020063196136423697,0.0007029568951875328,0.000022676140060521786,-0.00015939671835749525]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9953610843200256, -0.13808023646787326, -0.1633365735621636, 0.019510037043262034, -0.0006255550065722144 ], [ 0.004552534276028115, -0.043682651247005884, 0.024049594955805352, 0.020439557461108863, 0.0725521548593322, -0.028409425034224188, 0.05225138045274364, -0.014121471578557206, -0.004082945642996448 ], [ -0.0009959127067146391, 0.00001830130787707114, -0.012007640649454084, 0.007124224333708408, 0.0020525761961166997, -0.0017225426151559592, -0.004407892104647829, -0.00164345898263016, 0.0013923078681167347 ], [ -0.000258891864561097, 0.001146496447712103, -0.0011374290884583278, -0.004030559812906075, 0.007686892656983431, 0.002904398757703726, 0.00011952272288272259, -0.0012144168632220063, 0.0012748076129342712 ], [ -0.00007989281777764408, -0.00033783992306828884, 0.0006888694013603212, -0.00017193421335953262, -0.0010064279735903636, 0.001197533146167897, -0.000017036433316247634, 0.0000017578610795750647, -0.00003804954638691674 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.15031624632359436, -0.07144229548476852, -0.02796708552911692, 0.017827111216464898 ], [ 0.002638190652735648, -0.026236695581394995, 0.04576874746696105, -0.10164699160829285, -0.11069358310795063, 0.11247536006945286, -0.019812655906436077, 0.0030719570502779764, 0.0015658078393552283 ], [ 0.0007600485335304276, 0.0004749480918359489, -0.01880037272343069, -0.0004770536955426641, 0.012612167256167385, -0.008338660666225538, -0.00888497655257486, 0.0023508487199340625, -0.0010070606077841066 ], [ -0.00041770577830166274, 0.001229660707491027, -0.005438549117751657, 0.0013678819095240434, -0.001467252456397579, -0.00037396414095217903, -0.001903203980592725, 0.0017230760679402574, -0.0007215658379973143 ], [ 0.00009839668107012906, -0.000511443351933752, 0.0011941857254729737, -0.0015567726488629934, 0.000844269623907491, -0.00020063196136423697, 0.0007029568951875328, 0.000022676140060521786, -0.00015939671835749525 ] ]

DTw39ca2MNv2JqkTymfmun4

{"aspect_ratio": 10.631720592026161, "major_radius": 1.0, "max_elongation": 6.61597549607487, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.05314301234476161, 0.03100354973808361, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.664174939120953, 0.6641749930168512, 0.6641769683196703, 0.664191479098351, 0.6642469522563725, 0.6643972011174568, 0.6647265531966502, 0.6653523157320562, 0.6664246419517396, 0.6681240115221644, 0.6706566267586179, 0.6742480778087154, 0.679135657757855, 0.6855597195127314, 0.693754464746762, 0.7039385440188802, 0.7163058284208096, 0.7310166882464196, 0.7481900843383478, 0.7678967438426864, 0.7901536548178894, 0.8149200741073307, 0.8420952006196294, 0.8715176221292658, 0.9029665983306878, 0.9361651965402834, 0.9707852495112068, 1.0064540576650198, 1.0427627110090525, 1.0792758594637855, 1.1155427146507186, 1.1511090217937352, 1.1855296977084047, 1.218381790387315, 1.2492773779975117, 1.2778759908431216, 1.3038961097916704, 1.3271252697660032, 1.3474282783494602, 1.3647530488557746, 1.379133546370663, 1.390689356983156, 1.3996214184868898, 1.4062035007887932, 1.4107691046002415, 1.4136935714456718, 1.415371390478441, 1.4161889934504146, 1.4164938461660452, 1.4165616256629066, 1.4165656304448253], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2133471614268638}

10.631721

1

6.615975

[ [ 0.664174939120953, 0.6641749930168512, 0.6641769683196703, 0.664191479098351, 0.6642469522563725, 0.6643972011174568, 0.6647265531966502, 0.6653523157320562, 0.6664246419517396, 0.6681240115221644, 0.6706566267586179, 0.6742480778087154, 0.679135657757855, 0.6855597195127314, 0.693754464746762, 0.7039385440188802, 0.7163058284208096, 0.7310166882464196, 0.7481900843383478, 0.7678967438426864, 0.7901536548178894, 0.8149200741073307, 0.8420952006196294, 0.8715176221292658, 0.9029665983306878, 0.9361651965402834, 0.9707852495112068, 1.0064540576650198, 1.0427627110090525, 1.0792758594637855, 1.1155427146507186, 1.1511090217937352, 1.1855296977084047, 1.218381790387315, 1.2492773779975117, 1.2778759908431216, 1.3038961097916704, 1.3271252697660032, 1.3474282783494602, 1.3647530488557746, 1.379133546370663, 1.390689356983156, 1.3996214184868898, 1.4062035007887932, 1.4107691046002415, 1.4136935714456718, 1.415371390478441, 1.4161889934504146, 1.4164938461660452, 1.4165616256629066, 1.4165656304448253 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ -0.05314301234476161, 0.03100354973808361, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.213347

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DLAAsNjhP79xN8YazTQohqE

null

false

null

false

DHU5E7NJsFRkVoMQTNYvDFE

DdNJiE2RWvSveGVoQAD7xHJ

{"qi": 0.04457523838129111, "vacuum_well": -0.05580966502562281, "aspect_ratio": 8.99085214676032, "max_elongation": 5.053339167956309, "average_triangularity": -0.4452617227251636, "axis_magnetic_mirror_ratio": 0.470466980725827, "edge_magnetic_mirror_ratio": 0.7437919076458465, "aspect_ratio_over_edge_rotational_transform": 8.333973928237848, "flux_compression_in_regions_of_bad_curvature": 1.1804678018051544, "axis_rotational_transform_over_n_field_periods": 0.2588417127879451, "edge_rotational_transform_over_n_field_periods": 0.2157638654543131, "minimum_normalized_magnetic_gradient_scale_length": 3.8930307245687934}

8.990852

8.333974

-0.560149

0.470467

0.258842

0.743792

0.215764

1.180468

5.053339

3.893031

0.044575

-0.05581

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.08180289069444396,-0.02675924422574706,-0.0008685722490159795,0.0005329191181659663],[0.002621996475836745,0.002492310979995669,0.036474962165146216,0.030659382175551204,0.09674711047164264,-0.018266354354886133,-0.005964406212952016,0.0014331434538051105,-0.0006421814946978945],[-0.00017991540328510974,-0.0003829599607778848,-0.021188695907518224,-0.0004431484219285923,0.0022757501257954765,-0.0029073889498959517,0.0008505557958753615,-0.00040732111718476584,-0.00015795023844672956],[-0.001957940352010111,-0.00027847586635554566,0.008134930398377028,-0.00255571793069126,-3.158360110170483e-6,0.0005989514137701793,0.0001446312220534339,-0.00036922047995600985,0.00011459798855110125],[0.0005526576231100343,-0.0007969204810925478,0.00019317049338590401,0.0007926128490149727,-0.0003538997695370569,-0.00009825375643428795,-0.00012448014959843623,-0.00002150975674291807,0.000041863773471833405]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.054912822518719734,0.012311106513675688,0.0004187181196519171,0.0006159526732691848],[0.0023328751249964354,0.0037989423884568245,0.03449082186190124,0.0400368000383726,-0.15995289609935917,0.005320402712105557,0.006658401374667737,-0.0008503789285839892,0.0005735294427461547],[-0.00006145931917167612,-0.0013575049918833077,-0.023020441515539454,0.005507745578046078,-0.004367443328482462,-0.001040133267548394,-0.00046481937971534944,0.000427818260730352,0.00009167970294698937],[-0.0013616670189786997,-0.0007334685275948611,-0.0007119768576912898,-0.0025418875685659322,-0.001197061142934678,-0.0007147578268352495,0.00031164533192169015,0.00035699218283998804,-0.0001778912284971201],[0.000045917135031702326,0.00009179193975407828,-0.0004196988303920462,0.0000871653232104076,0.00008515546480431133,-0.00003160875517799439,0.00007563770054268604,0.00005838192266366381,-0.00003316871700762004]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.08180289069444396, -0.02675924422574706, -0.0008685722490159795, 0.0005329191181659663 ], [ 0.002621996475836745, 0.002492310979995669, 0.036474962165146216, 0.030659382175551204, 0.09674711047164264, -0.018266354354886133, -0.005964406212952016, 0.0014331434538051105, -0.0006421814946978945 ], [ -0.00017991540328510974, -0.0003829599607778848, -0.021188695907518224, -0.0004431484219285923, 0.0022757501257954765, -0.0029073889498959517, 0.0008505557958753615, -0.00040732111718476584, -0.00015795023844672956 ], [ -0.001957940352010111, -0.00027847586635554566, 0.008134930398377028, -0.00255571793069126, -0.000003158360110170483, 0.0005989514137701793, 0.0001446312220534339, -0.00036922047995600985, 0.00011459798855110125 ], [ 0.0005526576231100343, -0.0007969204810925478, 0.00019317049338590401, 0.0007926128490149727, -0.0003538997695370569, -0.00009825375643428795, -0.00012448014959843623, -0.00002150975674291807, 0.000041863773471833405 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.054912822518719734, 0.012311106513675688, 0.0004187181196519171, 0.0006159526732691848 ], [ 0.0023328751249964354, 0.0037989423884568245, 0.03449082186190124, 0.0400368000383726, -0.15995289609935917, 0.005320402712105557, 0.006658401374667737, -0.0008503789285839892, 0.0005735294427461547 ], [ -0.00006145931917167612, -0.0013575049918833077, -0.023020441515539454, 0.005507745578046078, -0.004367443328482462, -0.001040133267548394, -0.00046481937971534944, 0.000427818260730352, 0.00009167970294698937 ], [ -0.0013616670189786997, -0.0007334685275948611, -0.0007119768576912898, -0.0025418875685659322, -0.001197061142934678, -0.0007147578268352495, 0.00031164533192169015, 0.00035699218283998804, -0.0001778912284971201 ], [ 0.000045917135031702326, 0.00009179193975407828, -0.0004196988303920462, 0.0000871653232104076, 0.00008515546480431133, -0.00003160875517799439, 0.00007563770054268604, 0.00005838192266366381, -0.00003316871700762004 ] ]

DgrJgPR8QdMo2zq2rwW3ULW

{"aspect_ratio": 8.230967877347819, "major_radius": 1.0, "max_elongation": 5.343017964254541, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.02389504191188465, -0.08494296346180977, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.748169208830182, 0.748172604292494, 0.7482242729319354, 0.7484422552519694, 0.7490022365861261, 0.7501158856084189, 0.7520108748574005, 0.7549135445419259, 0.75903447816815, 0.7645569976208391, 0.7716284594427839, 0.780354166299758, 0.7907936696421536, 0.8029592187195216, 0.81681610095094, 0.8322846156296113, 0.8492434249086671, 0.8675340316252186, 0.8869661418749177, 0.9073236807314027, 0.9283712416730263, 0.9498607638093413, 0.9715382456478818, 0.9931503197195974, 1.0144505287405858, 1.0352051610093387, 1.0551985203250525, 1.0742375237821506, 1.09215553927998, 1.1088153934246958, 1.124111499639755, 1.1379710756944497, 1.1503544394623775, 1.1612543914919091, 1.170694712867828, 1.1787278268265315, 1.185431692614141, 1.1909060201021369, 1.1952679136482636, 1.1986470735532933, 1.2011807031472828, 1.2030082889558544, 1.2042664404361876, 1.2050839942833673, 1.205577606078183, 1.205848068761481, 1.2059776125775548, 1.2060284538735682, 1.2060428688485432, 1.206045069433119, 1.2060451417781062], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.2625900919626407}

8.230968

1

5.343018

[ [ 0.748169208830182, 0.748172604292494, 0.7482242729319354, 0.7484422552519694, 0.7490022365861261, 0.7501158856084189, 0.7520108748574005, 0.7549135445419259, 0.75903447816815, 0.7645569976208391, 0.7716284594427839, 0.780354166299758, 0.7907936696421536, 0.8029592187195216, 0.81681610095094, 0.8322846156296113, 0.8492434249086671, 0.8675340316252186, 0.8869661418749177, 0.9073236807314027, 0.9283712416730263, 0.9498607638093413, 0.9715382456478818, 0.9931503197195974, 1.0144505287405858, 1.0352051610093387, 1.0551985203250525, 1.0742375237821506, 1.09215553927998, 1.1088153934246958, 1.124111499639755, 1.1379710756944497, 1.1503544394623775, 1.1612543914919091, 1.170694712867828, 1.1787278268265315, 1.185431692614141, 1.1909060201021369, 1.1952679136482636, 1.1986470735532933, 1.2011807031472828, 1.2030082889558544, 1.2042664404361876, 1.2050839942833673, 1.205577606078183, 1.205848068761481, 1.2059776125775548, 1.2060284538735682, 1.2060428688485432, 1.206045069433119, 1.2060451417781062 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.02389504191188465, -0.08494296346180977, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.26259

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D4LgMKWZWcxooQEW5MpRBNi

null

false

null

false

DerXFJ29VV8PeAeqinrtRkm

D36WdEzvqXYqaLGwEFA7ccn

{"qi": 0.04467721005361471, "vacuum_well": -0.08446259374750763, "aspect_ratio": 8.07026912657013, "max_elongation": 4.0839153029361865, "average_triangularity": -0.04451577483850397, "axis_magnetic_mirror_ratio": 0.4659456273485836, "edge_magnetic_mirror_ratio": 0.8866632646558256, "aspect_ratio_over_edge_rotational_transform": 8.078401873080093, "flux_compression_in_regions_of_bad_curvature": 1.0474999203175241, "axis_rotational_transform_over_n_field_periods": 0.33049421849775756, "edge_rotational_transform_over_n_field_periods": 0.33299775761601796, "minimum_normalized_magnetic_gradient_scale_length": 1.274824001675331}

8.070269

8.078402

0.092735

0.465946

0.330494

0.886663

0.332998

1.0475

4.083915

1.274824

0.044677

-0.084463

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.21447002664312043,-0.08126610605827791,-0.015023986171421984,0.0053938879499711235],[-0.00949084212344597,0.014646884663754679,0.05703513439148067,-0.05744545371077058,0.1462237295842132,-0.04053154722281597,-0.0032717170636245296,0.006380216191309372,-0.005062461402181532],[0.0026075609148162164,-0.006944160696509671,-0.0019270150286597111,-0.01057418793517239,0.015004270383372445,-0.01243676155574067,0.002552754783808764,-0.0032218664961197845,0.0007947746703917987],[-0.00019858152103073633,0.00012671562290331352,-0.0003843356438949907,0.004351077989515727,0.004997076047830822,-0.002242247450192517,0.0018721235331113691,0.0005566962898842821,-0.0001809222384919568],[-0.00015996547763915607,-0.0004650888270406934,0.0007199038110177083,0.00007957494909406788,0.0010813685249249985,-0.0012811074250665532,0.0010323752898739442,-0.00071765675606795,0.00021255357826645022]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08016239251549401,0.02375980443227196,0.01852699137737533,-0.009222247243951763],[-0.012404343820666786,0.04038652775664439,0.01695528203554826,-0.0067157895891877765,-0.1128889190104468,-0.02281542231990471,0.00863895098856994,-0.006784785316666243,0.0036435340183698763],[0.005322888177409466,-0.01674229482745413,0.002508553464773522,-0.015099285217354812,-0.018711989547863947,0.001464676398579206,-0.0007610718999596294,0.004486090785176152,-0.00029587579936041653],[-0.0011548511332676648,0.001117600277124907,-0.0027699279915356007,-0.00525546903685545,-0.0043203916819918135,0.0005952303608057607,0.0008763066459863703,-0.0014390616896325639,0.0002681361908561385],[0.00003891243708748313,0.0005189399967180037,-0.0006015408514108284,-0.0008436603604834198,0.00006127395035977832,-0.00005554002601805487,-0.00017990178883441776,0.00013925488292633795,0.00005765202220691966]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.21447002664312043, -0.08126610605827791, -0.015023986171421984, 0.0053938879499711235 ], [ -0.00949084212344597, 0.014646884663754679, 0.05703513439148067, -0.05744545371077058, 0.1462237295842132, -0.04053154722281597, -0.0032717170636245296, 0.006380216191309372, -0.005062461402181532 ], [ 0.0026075609148162164, -0.006944160696509671, -0.0019270150286597111, -0.01057418793517239, 0.015004270383372445, -0.01243676155574067, 0.002552754783808764, -0.0032218664961197845, 0.0007947746703917987 ], [ -0.00019858152103073633, 0.00012671562290331352, -0.0003843356438949907, 0.004351077989515727, 0.004997076047830822, -0.002242247450192517, 0.0018721235331113691, 0.0005566962898842821, -0.0001809222384919568 ], [ -0.00015996547763915607, -0.0004650888270406934, 0.0007199038110177083, 0.00007957494909406788, 0.0010813685249249985, -0.0012811074250665532, 0.0010323752898739442, -0.00071765675606795, 0.00021255357826645022 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08016239251549401, 0.02375980443227196, 0.01852699137737533, -0.009222247243951763 ], [ -0.012404343820666786, 0.04038652775664439, 0.01695528203554826, -0.0067157895891877765, -0.1128889190104468, -0.02281542231990471, 0.00863895098856994, -0.006784785316666243, 0.0036435340183698763 ], [ 0.005322888177409466, -0.01674229482745413, 0.002508553464773522, -0.015099285217354812, -0.018711989547863947, 0.001464676398579206, -0.0007610718999596294, 0.004486090785176152, -0.00029587579936041653 ], [ -0.0011548511332676648, 0.001117600277124907, -0.0027699279915356007, -0.00525546903685545, -0.0043203916819918135, 0.0005952303608057607, 0.0008763066459863703, -0.0014390616896325639, 0.0002681361908561385 ], [ 0.00003891243708748313, 0.0005189399967180037, -0.0006015408514108284, -0.0008436603604834198, 0.00006127395035977832, -0.00005554002601805487, -0.00017990178883441776, 0.00013925488292633795, 0.00005765202220691966 ] ]

Dfu5nMnpVJ9DZZ9GU224NYD

{"aspect_ratio": 7.576926899204239, "major_radius": 1.0, "max_elongation": 4.319367793621777, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07727865224104606, 0.2902292432561124, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.846648636055952, 0.8466563355308626, 0.8467473651065948, 0.8470739098243789, 0.8478199182357854, 0.8491722380389197, 0.8513019389207747, 0.8543522065842354, 0.8584310001146324, 0.8636073096065933, 0.8699101719279873, 0.8773297936921688, 0.8858202586033639, 0.8953033895248936, 0.9056734075725519, 0.9168020885844902, 0.9285441657020305, 0.9407427681156082, 0.9532347219653318, 0.9658555710639523, 0.9784442033146632, 0.9908469939867384, 1.002921399797995, 1.0145389583397595, 1.0255876659986183, 1.035973724356838, 1.0456226602264356, 1.05447983809597, 1.0625103959251578, 1.0696986459716846, 1.0760469917219044, 1.0815744200532535, 1.0863146344992738, 1.0903139009246292, 1.0936286810424718, 1.0963231320034632, 1.0984665517257985, 1.1001308496759004, 1.1013881213910657, 1.1023084020794767, 1.1029576700358144, 1.103396164235638, 1.103677072137328, 1.1038456331820072, 1.1039386904011936, 1.1039847064353592, 1.1040042404113846, 1.1040108573760383, 1.104012410358488, 1.1040125927871898, 1.1040125967373562], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8445319768518964}

7.576927

1

4.319368

[ [ 0.846648636055952, 0.8466563355308626, 0.8467473651065948, 0.8470739098243789, 0.8478199182357854, 0.8491722380389197, 0.8513019389207747, 0.8543522065842354, 0.8584310001146324, 0.8636073096065933, 0.8699101719279873, 0.8773297936921688, 0.8858202586033639, 0.8953033895248936, 0.9056734075725519, 0.9168020885844902, 0.9285441657020305, 0.9407427681156082, 0.9532347219653318, 0.9658555710639523, 0.9784442033146632, 0.9908469939867384, 1.002921399797995, 1.0145389583397595, 1.0255876659986183, 1.035973724356838, 1.0456226602264356, 1.05447983809597, 1.0625103959251578, 1.0696986459716846, 1.0760469917219044, 1.0815744200532535, 1.0863146344992738, 1.0903139009246292, 1.0936286810424718, 1.0963231320034632, 1.0984665517257985, 1.1001308496759004, 1.1013881213910657, 1.1023084020794767, 1.1029576700358144, 1.103396164235638, 1.103677072137328, 1.1038456331820072, 1.1039386904011936, 1.1039847064353592, 1.1040042404113846, 1.1040108573760383, 1.104012410358488, 1.1040125927871898, 1.1040125967373562 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.07727865224104606, 0.2902292432561124, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.844532

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DH3WHifD2S3Nj3iXftVchwc

null

false

null

false

DAziKgYUCC74nVDv4FXuraw

DEweJz3f8XQhT6gd865mfRy

{"qi": 0.008006365294034312, "vacuum_well": -0.2879876109593233, "aspect_ratio": 8.684338958082234, "max_elongation": 8.013898383229693, "average_triangularity": -0.040183153148779176, "axis_magnetic_mirror_ratio": 0.40704968147892023, "edge_magnetic_mirror_ratio": 0.568321464098394, "aspect_ratio_over_edge_rotational_transform": 6.9976944704270405, "flux_compression_in_regions_of_bad_curvature": 1.3138548435035986, "axis_rotational_transform_over_n_field_periods": 0.2890423846422774, "edge_rotational_transform_over_n_field_periods": 0.4136761993436135, "minimum_normalized_magnetic_gradient_scale_length": 2.849009915945157}

8.684339

6.997694

-0.193833

0.40705

0.289042

0.568321

0.413676

1.313855

8.013898

2.84901

0.008006

-0.287988

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.07448584799374852,-0.060856473099197665,-0.0008261701604045085,0.0040483012214369155],[-0.00529135319699335,0.009633659052991642,0.07394705709653668,-0.04860561420724285,0.08695410569611056,-0.005921109973859924,-0.028588395788767863,-0.003452880167715212,0.005361542138617029],[0.003418877307271627,-0.003166780242486086,-0.002975451954997612,-0.016129466287625738,-0.033164992891098574,-0.007018328511884951,0.005822406556642055,0.001908675833879948,-0.0011888709399061332],[0.0003569271619309733,-0.0029432992403212272,-0.0037640998329340663,-0.00016155152360947762,0.004102819404680882,0.007392884693367199,0.0017238882957274742,-0.0003010356037400153,-0.00044643539268668673],[-0.00020314921769832585,0.0007873541731788277,0.0009420804788180417,0.0005363720582895618,-0.000828593536238929,-0.0011858261717380683,-0.0004330287906845498,-0.00021285387873557025,0.00039775818311156563]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0252204190274318,0.011770257077986701,0.009821713295581012,-0.006579963418666182],[-0.003973079620763676,0.010374726911591073,0.04798729681783484,-0.006862773776777773,-0.158471950551428,0.0089501624971326,0.03172931281007886,-0.00005580457661221762,-0.002655756309390333],[0.0014074991514568859,-0.0007226969097752646,-0.013878144371083784,-0.006731179830064226,0.024368390151337866,0.012862728441580425,-0.003939139326780548,-0.002726207117220292,0.0013934302908478133],[-0.000013261086991031817,-0.002673186138767477,-0.0007921242278251656,0.00331522429700538,0.0034356603032587025,-0.0034613191159688214,-0.0030382181352139057,0.0000979482419502355,0.0003855988468026217],[0.000028789243047653494,0.0004924403071781104,0.000290145444129255,-0.0015398675949457833,-0.0004932518037652194,0.0011535488687479188,0.0008931629263692112,0.000043513551251005036,-0.00031044954758846076]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.07448584799374852, -0.060856473099197665, -0.0008261701604045085, 0.0040483012214369155 ], [ -0.00529135319699335, 0.009633659052991642, 0.07394705709653668, -0.04860561420724285, 0.08695410569611056, -0.005921109973859924, -0.028588395788767863, -0.003452880167715212, 0.005361542138617029 ], [ 0.003418877307271627, -0.003166780242486086, -0.002975451954997612, -0.016129466287625738, -0.033164992891098574, -0.007018328511884951, 0.005822406556642055, 0.001908675833879948, -0.0011888709399061332 ], [ 0.0003569271619309733, -0.0029432992403212272, -0.0037640998329340663, -0.00016155152360947762, 0.004102819404680882, 0.007392884693367199, 0.0017238882957274742, -0.0003010356037400153, -0.00044643539268668673 ], [ -0.00020314921769832585, 0.0007873541731788277, 0.0009420804788180417, 0.0005363720582895618, -0.000828593536238929, -0.0011858261717380683, -0.0004330287906845498, -0.00021285387873557025, 0.00039775818311156563 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0252204190274318, 0.011770257077986701, 0.009821713295581012, -0.006579963418666182 ], [ -0.003973079620763676, 0.010374726911591073, 0.04798729681783484, -0.006862773776777773, -0.158471950551428, 0.0089501624971326, 0.03172931281007886, -0.00005580457661221762, -0.002655756309390333 ], [ 0.0014074991514568859, -0.0007226969097752646, -0.013878144371083784, -0.006731179830064226, 0.024368390151337866, 0.012862728441580425, -0.003939139326780548, -0.002726207117220292, 0.0013934302908478133 ], [ -0.000013261086991031817, -0.002673186138767477, -0.0007921242278251656, 0.00331522429700538, 0.0034356603032587025, -0.0034613191159688214, -0.0030382181352139057, 0.0000979482419502355, 0.0003855988468026217 ], [ 0.000028789243047653494, 0.0004924403071781104, 0.000290145444129255, -0.0015398675949457833, -0.0004932518037652194, 0.0011535488687479188, 0.0008931629263692112, 0.000043513551251005036, -0.00031044954758846076 ] ]

DeSjk5gaMQnz6MFxkuMbjNk

{"aspect_ratio": 8.352533800836142, "major_radius": 1.0, "max_elongation": 6.769283167779457, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.4334091022331016, -0.17256531661788432, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.6068664860533574, 0.6068703452730846, 0.6069319910547923, 0.607200579580076, 0.607907416530555, 0.6093410401579137, 0.6118221213886644, 0.6156803170526121, 0.621233935919328, 0.6287727764077766, 0.638544240591015, 0.6507426821019745, 0.6655018538797659, 0.6828902620699155, 0.7029091929355478, 0.7254931537269892, 0.750512452132514, 0.7777776296880439, 0.8070454607023332, 0.8380262287205348, 0.8703919964998496, 0.9037855923239992, 0.9378300448078201, 0.972138209815692, 1.0063223464918756, 1.0400034144891035, 1.0728198811403424, 1.1044358454388505, 1.1345483051932514, 1.1628934145510104, 1.1892516012002137, 1.213451435949871, 1.2353721720559423, 1.2549448976256765, 1.272152271739174, 1.2870268436400836, 1.299647984560604, 1.3101374935873769, 1.318653972616657, 1.3253861011204198, 1.3305449794621622, 1.334355750290226, 1.337048751696783, 1.3388505042249697, 1.3399748877226552, 1.3406149254908288, 1.3409356654916085, 1.3410687375346164, 1.341109283234597, 1.3411161298056307, 1.3411163942313125], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.724025728228967}

8.352534

1

6.769283

[ [ 0.6068664860533574, 0.6068703452730846, 0.6069319910547923, 0.607200579580076, 0.607907416530555, 0.6093410401579137, 0.6118221213886644, 0.6156803170526121, 0.621233935919328, 0.6287727764077766, 0.638544240591015, 0.6507426821019745, 0.6655018538797659, 0.6828902620699155, 0.7029091929355478, 0.7254931537269892, 0.750512452132514, 0.7777776296880439, 0.8070454607023332, 0.8380262287205348, 0.8703919964998496, 0.9037855923239992, 0.9378300448078201, 0.972138209815692, 1.0063223464918756, 1.0400034144891035, 1.0728198811403424, 1.1044358454388505, 1.1345483051932514, 1.1628934145510104, 1.1892516012002137, 1.213451435949871, 1.2353721720559423, 1.2549448976256765, 1.272152271739174, 1.2870268436400836, 1.299647984560604, 1.3101374935873769, 1.318653972616657, 1.3253861011204198, 1.3305449794621622, 1.334355750290226, 1.337048751696783, 1.3388505042249697, 1.3399748877226552, 1.3406149254908288, 1.3409356654916085, 1.3410687375346164, 1.341109283234597, 1.3411161298056307, 1.3411163942313125 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ 0.4334091022331016, -0.17256531661788432, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.724026

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DCLFYRstCfML8ZBngWrfwhC

null

false

null

false

DVgaQFWF3rCUKYXdATcGEUH

DC5kr9cwtmcSJrVEFs8qMEH

{"qi": 0.010353115790023452, "vacuum_well": -0.07054205892789339, "aspect_ratio": 9.161590032327828, "max_elongation": 6.250067267375428, "average_triangularity": 0.020586088959621607, "axis_magnetic_mirror_ratio": 0.33838420501523747, "edge_magnetic_mirror_ratio": 0.3634600621458026, "aspect_ratio_over_edge_rotational_transform": 8.925736460720016, "flux_compression_in_regions_of_bad_curvature": 1.547007528248491, "axis_rotational_transform_over_n_field_periods": 0.310641406168089, "edge_rotational_transform_over_n_field_periods": 0.2566059975175647, "minimum_normalized_magnetic_gradient_scale_length": 7.863720797179652}

9.16159

8.925736

0.193512

0.338384

0.310641

0.36346

0.256606

1.547008

6.250067

7.863721

0.010353

-0.070542

{"r_cos":[[0.0,0.0,0.0,0.0,0.9962063610119987,0.040953735313023806,-0.012979193037531216,0.003107696809999597,0.0005943734165893456],[-0.00027660052689282814,0.0008101112272475291,-0.023948265298931896,-0.0805690872416441,0.15085102359297806,-0.0008695678516461094,-0.008815235134989337,0.0018355929873477782,-0.00017568936908745654],[0.00012203126222363126,0.006998580703101637,0.01204119426088824,0.010009731425481002,-0.011637011689493866,0.01587464950362985,-0.00395701709436374,0.0002937095675935599,-0.000010738807506477759],[0.00006846956124854327,0.00022668278084826262,-0.00200050745648425,-0.004060133598019372,0.006719657806794748,-0.0019044021331577035,-7.817209342187055e-6,-0.00006185525835789981,0.000025757001332579677],[-0.000263334523148974,-0.0004710831198128855,-0.00023592132450097526,0.0005521302571063601,0.00003265075260058294,-0.00017094450950089557,0.00011415019906797213,-8.550622696744744e-6,-0.000012903164230637372]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.11984396334026155,0.005090579998255686,0.0018090259616554564,-0.001111317763726553],[-0.0004264630448800122,-0.005216517881970693,-0.018183519555179266,-0.07914708019864573,-0.1322227930090719,0.023940783712140767,-0.007180185239032922,0.0028415439479671342,-0.00039568414431854354],[0.0006629633547651705,0.002920496414289174,0.011842611492827532,0.003425350006037919,-0.0266717466353945,0.009897540347695539,-0.004012399886572461,0.0011797803342136223,-0.0001604514403910236],[0.00011885079109237997,0.00036302987888774124,0.002293309625432211,0.0033471910551491684,-0.005087052223424847,0.0016600954900453787,-0.00003125053946226308,0.00008283974881348271,-0.000038283297063010285],[-0.00004826881915281651,-0.00004289223772653478,0.0003649644087946527,-0.00030826914574739827,-0.0004797483710513917,0.0006421104092524616,-0.0005995910317582656,0.0002607677301726777,-0.0000708579254020934]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9962063610119987, 0.040953735313023806, -0.012979193037531216, 0.003107696809999597, 0.0005943734165893456 ], [ -0.00027660052689282814, 0.0008101112272475291, -0.023948265298931896, -0.0805690872416441, 0.15085102359297806, -0.0008695678516461094, -0.008815235134989337, 0.0018355929873477782, -0.00017568936908745654 ], [ 0.00012203126222363126, 0.006998580703101637, 0.01204119426088824, 0.010009731425481002, -0.011637011689493866, 0.01587464950362985, -0.00395701709436374, 0.0002937095675935599, -0.000010738807506477759 ], [ 0.00006846956124854327, 0.00022668278084826262, -0.00200050745648425, -0.004060133598019372, 0.006719657806794748, -0.0019044021331577035, -0.000007817209342187055, -0.00006185525835789981, 0.000025757001332579677 ], [ -0.000263334523148974, -0.0004710831198128855, -0.00023592132450097526, 0.0005521302571063601, 0.00003265075260058294, -0.00017094450950089557, 0.00011415019906797213, -0.000008550622696744744, -0.000012903164230637372 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.11984396334026155, 0.005090579998255686, 0.0018090259616554564, -0.001111317763726553 ], [ -0.0004264630448800122, -0.005216517881970693, -0.018183519555179266, -0.07914708019864573, -0.1322227930090719, 0.023940783712140767, -0.007180185239032922, 0.0028415439479671342, -0.00039568414431854354 ], [ 0.0006629633547651705, 0.002920496414289174, 0.011842611492827532, 0.003425350006037919, -0.0266717466353945, 0.009897540347695539, -0.004012399886572461, 0.0011797803342136223, -0.0001604514403910236 ], [ 0.00011885079109237997, 0.00036302987888774124, 0.002293309625432211, 0.0033471910551491684, -0.005087052223424847, 0.0016600954900453787, -0.00003125053946226308, 0.00008283974881348271, -0.000038283297063010285 ], [ -0.00004826881915281651, -0.00004289223772653478, 0.0003649644087946527, -0.00030826914574739827, -0.0004797483710513917, 0.0006421104092524616, -0.0005995910317582656, 0.0002607677301726777, -0.0000708579254020934 ] ]

D6HfLVCS6eMVJBhUcxVsyB2

{"aspect_ratio": 8.909634180785943, "major_radius": 1.0, "max_elongation": 5.973836810349451, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.11646201226231263, 0.012724965357370752, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.6764195595033804, 0.676421800834137, 0.6764649132164403, 0.6766740289706521, 0.6772634152948699, 0.6785161449697692, 0.6807570945823888, 0.6843249942382669, 0.6895464326470455, 0.6967133949216581, 0.7060651447332804, 0.7177747748808238, 0.7319404237537268, 0.7485809317288521, 0.7676355590134647, 0.7889672852005175, 0.8123691480312745, 0.8375730457225958, 0.8642604173193542, 0.8920742240693152, 0.9206316780500867, 0.9495371992123096, 0.978395126181824, 1.0068217575211098, 1.0344563569170853, 1.060970816394216, 1.0860777347793866, 1.1095367330355477, 1.131158892610176, 1.1508092665727705, 1.1684074750709685, 1.183926455597898, 1.1973894938542995, 1.208865711756817, 1.2184642345561678, 1.2263272982619084, 1.232622590799057, 1.2375351447085932, 1.241259114886863, 1.2439897809366567, 1.2459161092149955, 1.2472141935652383, 1.2480418648501992, 1.2485347164232934, 1.2488037339998939, 1.2489346420541803, 1.2489889822968119, 1.2490068193915393, 1.249010819354494, 1.2490112575568832, 1.2490112659569164], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.163925850523682}

8.909634

1

5.973837

[ [ 0.6764195595033804, 0.676421800834137, 0.6764649132164403, 0.6766740289706521, 0.6772634152948699, 0.6785161449697692, 0.6807570945823888, 0.6843249942382669, 0.6895464326470455, 0.6967133949216581, 0.7060651447332804, 0.7177747748808238, 0.7319404237537268, 0.7485809317288521, 0.7676355590134647, 0.7889672852005175, 0.8123691480312745, 0.8375730457225958, 0.8642604173193542, 0.8920742240693152, 0.9206316780500867, 0.9495371992123096, 0.978395126181824, 1.0068217575211098, 1.0344563569170853, 1.060970816394216, 1.0860777347793866, 1.1095367330355477, 1.131158892610176, 1.1508092665727705, 1.1684074750709685, 1.183926455597898, 1.1973894938542995, 1.208865711756817, 1.2184642345561678, 1.2263272982619084, 1.232622590799057, 1.2375351447085932, 1.241259114886863, 1.2439897809366567, 1.2459161092149955, 1.2472141935652383, 1.2480418648501992, 1.2485347164232934, 1.2488037339998939, 1.2489346420541803, 1.2489889822968119, 1.2490068193915393, 1.249010819354494, 1.2490112575568832, 1.2490112659569164 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.11646201226231263, 0.012724965357370752, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.163926

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DB4x5NeV59ZGe9doBtjAEfB

null

false

null

false

D6ZD6PFLdcjmqXntZwRCgGN

Djfny4mKBVjJSktfSuv8gSw

{"qi": 0.0030029251102565726, "vacuum_well": -0.13361550673551245, "aspect_ratio": 9.574811390444712, "max_elongation": 6.965703778959002, "average_triangularity": -0.01714189963747681, "axis_magnetic_mirror_ratio": 0.37133183291005784, "edge_magnetic_mirror_ratio": 0.4007215200199277, "aspect_ratio_over_edge_rotational_transform": 10.4143201636363, "flux_compression_in_regions_of_bad_curvature": 1.5766617971211196, "axis_rotational_transform_over_n_field_periods": 0.18767020499015258, "edge_rotational_transform_over_n_field_periods": 0.18387779979872518, "minimum_normalized_magnetic_gradient_scale_length": 10.002858146884893}

9.574811

10.41432

0.163516

0.371332

0.18767

0.400722

0.183878

1.576662

6.965704

10.002858

0.003003

-0.133616

{"r_cos":[[0.0,0.0,0.0,0.0,0.9970678790099364,0.010425983597729482,-0.004834620237186645,-0.0007630022172667623,0.00024074727194748835],[-0.0002570639924897073,-0.004056260347759421,-0.01300006586882018,-0.06100830508703621,0.11892297991702391,-0.002391497137108109,-0.006025265948220768,0.0008255304793645204,0.0004170263417208634],[0.0004094805607336869,0.0032276978836521105,0.012592984022150254,0.01718493265254677,-0.011598747159021736,0.010107373426446084,-0.004597707401999022,0.0010589915152774904,0.00017737645854437638],[-0.0005524159679181563,-0.0010399050338138968,-0.0012243030692775864,-0.0005596865949703078,0.0040673451093698595,0.00007387274679170297,-0.0010944714768185988,0.0006126642718224817,-0.000018394992443135567],[0.0002440966667135254,0.0003530676873003257,-0.0005823783492855261,0.000040677127599441244,0.0009827792606651375,-0.0008136035409608959,0.0001792475213234445,0.0001244297013094323,-0.00004200855879070107]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.036171598215524965,0.009350699879768557,-0.0004484636902124203,-0.0003565022936666152],[0.00005728399681106163,-0.001832733045886544,-0.00847177386979353,-0.0809702401630221,-0.15472209925498268,0.03753803381120203,-0.00017269569524586657,-0.00038440501155928325,-0.00012846024013165108],[0.0001272516837300723,0.002349208755771671,0.008230397481726258,0.02470619295770691,-0.043573271600334695,0.008396573884699504,0.0022902164676182027,-0.00184363889833532,0.00009714642089382725],[-0.0005677936754328723,-0.0014161321881703648,-0.0020943706792791402,0.007022109951772856,-0.01030155603975611,0.0033767066464604556,0.0004214765837580384,-0.000744133012116835,0.0000865610953533903],[0.0001039007933413455,0.0001079839482306605,-0.00031076276614014234,-0.000748801246089455,-0.00007361295511471266,0.0005755335353652826,-0.00008439911891662663,-0.00018674047800522009,0.00007287859014680758]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9970678790099364, 0.010425983597729482, -0.004834620237186645, -0.0007630022172667623, 0.00024074727194748835 ], [ -0.0002570639924897073, -0.004056260347759421, -0.01300006586882018, -0.06100830508703621, 0.11892297991702391, -0.002391497137108109, -0.006025265948220768, 0.0008255304793645204, 0.0004170263417208634 ], [ 0.0004094805607336869, 0.0032276978836521105, 0.012592984022150254, 0.01718493265254677, -0.011598747159021736, 0.010107373426446084, -0.004597707401999022, 0.0010589915152774904, 0.00017737645854437638 ], [ -0.0005524159679181563, -0.0010399050338138968, -0.0012243030692775864, -0.0005596865949703078, 0.0040673451093698595, 0.00007387274679170297, -0.0010944714768185988, 0.0006126642718224817, -0.000018394992443135567 ], [ 0.0002440966667135254, 0.0003530676873003257, -0.0005823783492855261, 0.000040677127599441244, 0.0009827792606651375, -0.0008136035409608959, 0.0001792475213234445, 0.0001244297013094323, -0.00004200855879070107 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.036171598215524965, 0.009350699879768557, -0.0004484636902124203, -0.0003565022936666152 ], [ 0.00005728399681106163, -0.001832733045886544, -0.00847177386979353, -0.0809702401630221, -0.15472209925498268, 0.03753803381120203, -0.00017269569524586657, -0.00038440501155928325, -0.00012846024013165108 ], [ 0.0001272516837300723, 0.002349208755771671, 0.008230397481726258, 0.02470619295770691, -0.043573271600334695, 0.008396573884699504, 0.0022902164676182027, -0.00184363889833532, 0.00009714642089382725 ], [ -0.0005677936754328723, -0.0014161321881703648, -0.0020943706792791402, 0.007022109951772856, -0.01030155603975611, 0.0033767066464604556, 0.0004214765837580384, -0.000744133012116835, 0.0000865610953533903 ], [ 0.0001039007933413455, 0.0001079839482306605, -0.00031076276614014234, -0.000748801246089455, -0.00007361295511471266, 0.0005755335353652826, -0.00008439911891662663, -0.00018674047800522009, 0.00007287859014680758 ] ]

DVjYwJ5UhTAyGRfHCePpftZ

{"aspect_ratio": 9.651065600287604, "major_radius": 1.0, "max_elongation": 6.592534166028574, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.04707653037015678, -0.11848635051148342, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.673686013800444, 0.6736861872373221, 0.6736907154613466, 0.6737177932778292, 0.6738075976185631, 0.6740264320320609, 0.6744680916374775, 0.6752530865299647, 0.6765261858240387, 0.6784526544478966, 0.6812134978625634, 0.6849999892218094, 0.690007721991622, 0.696430405186255, 0.704453596206445, 0.714248546620952, 0.7259663183736303, 0.7397323113263851, 0.7556413274127848, 0.7737532817201945, 0.7940896563430595, 0.8166307786995789, 0.8413139920482846, 0.8680327720671981, 0.8966368294641537, 0.9269332245757651, 0.9586885056886251, 0.9916318682808056, 1.0254593174286326, 1.0598388001354666, 1.094416258181457, 1.128822535108164, 1.1626810529498859, 1.1956161550714555, 1.2272619906780715, 1.2572717938526752, 1.2853273848628222, 1.311148693311885, 1.3345030706026455, 1.3552141218967813, 1.3731697435130465, 1.3883289978747992, 1.4007273906447502, 1.41048002708064, 1.417782005963248, 1.4229052400436841, 1.4261906337131722, 1.4280341195950144, 1.428864253182787, 1.4291072655100163, 1.4291297678418444], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.9122681194892837}

9.651066

1

6.592534

[ [ 0.673686013800444, 0.6736861872373221, 0.6736907154613466, 0.6737177932778292, 0.6738075976185631, 0.6740264320320609, 0.6744680916374775, 0.6752530865299647, 0.6765261858240387, 0.6784526544478966, 0.6812134978625634, 0.6849999892218094, 0.690007721991622, 0.696430405186255, 0.704453596206445, 0.714248546620952, 0.7259663183736303, 0.7397323113263851, 0.7556413274127848, 0.7737532817201945, 0.7940896563430595, 0.8166307786995789, 0.8413139920482846, 0.8680327720671981, 0.8966368294641537, 0.9269332245757651, 0.9586885056886251, 0.9916318682808056, 1.0254593174286326, 1.0598388001354666, 1.094416258181457, 1.128822535108164, 1.1626810529498859, 1.1956161550714555, 1.2272619906780715, 1.2572717938526752, 1.2853273848628222, 1.311148693311885, 1.3345030706026455, 1.3552141218967813, 1.3731697435130465, 1.3883289978747992, 1.4007273906447502, 1.41048002708064, 1.417782005963248, 1.4229052400436841, 1.4261906337131722, 1.4280341195950144, 1.428864253182787, 1.4291072655100163, 1.4291297678418444 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.04707653037015678, -0.11848635051148342, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.912268

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D7JQvJrfiE2EQMU4dnTijYJ

null

false

null

false

D9UpgWr6ueXzRCkjuZU5Eq5

DW58KD5rKzJxvCwiX2M2PEa

{"qi": 0.0022570027374540654, "vacuum_well": -0.10726787550631814, "aspect_ratio": 9.325020933127972, "max_elongation": 5.644016679792789, "average_triangularity": -0.5048710410599033, "axis_magnetic_mirror_ratio": 0.22195331506419, "edge_magnetic_mirror_ratio": 0.2799180432202098, "aspect_ratio_over_edge_rotational_transform": 12.268648873386685, "flux_compression_in_regions_of_bad_curvature": 1.4235073662745714, "axis_rotational_transform_over_n_field_periods": 0.25867142833893986, "edge_rotational_transform_over_n_field_periods": 0.25335636736538364, "minimum_normalized_magnetic_gradient_scale_length": 5.909289312568766}

9.325021

12.268649

-0.744694

0.221953

0.258671

0.279918

0.253356

1.423507

5.644017

5.909289

0.002257

-0.107268

{"r_cos":[[0.0,0.0,0.0,0.0,0.9988541666015729,0.0063797503892194804,-0.030795616264675137,-0.0030692209826514633,-0.0005920888034228449],[-0.0008467524105273114,0.003919133436658144,0.013589022934450757,-0.07199076536427237,0.12571138460142375,-0.009319698638720987,-0.006778955888375947,-0.0011487909302878938,0.0006798372017424484],[0.0013054249382751884,0.0019046647868280393,-0.012276885543071065,-0.011002280106092395,-0.020673253927264552,0.013172527824339617,-0.0004998193061138924,0.0004729826891221575,-0.0001250095066111449],[-0.0001602516764341953,0.0006503392445380797,-0.0029153310678204053,-0.004441646848315304,-0.00460265521929884,0.00018178190664351395,0.0016511078022609393,0.0003075209864871726,-0.00011661674207013872],[0.0003845368526429221,-0.0001491544735743292,0.00037717413889410496,-0.0010828828206332144,-0.0005273191111807825,-0.00014549838141669595,0.0003754589625869511,-6.352296443855082e-7,0.00006787918456423501]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.18223871567978814,0.002307009205570306,0.004844505333257969,0.0007787357390605393],[0.0003105524729188997,-0.001059951424438261,0.007507407266564787,-0.07270720521924784,-0.13646459245621564,0.012191035049370965,-0.0011898309143352397,0.00015766401157337823,0.0002514625042235145],[-0.000700790698198032,-0.003450896401246387,-0.009054725915865753,-0.015397133320294647,-0.006888552241153061,0.0033745207454887478,0.001617906583986967,-0.001380221415026163,-0.0004102529614824906],[-0.0004350946535641631,-0.0010668545046281358,-0.0016591337431018502,0.0005891845429983656,0.003770521102537677,-0.0010681846365999561,0.0008415551854599172,-0.0002534238167822584,0.000056278034024408717],[-0.00019000357550334615,-0.0001701414278874004,0.00048727295719006757,-0.0013165745186103945,0.0014528599056935609,-0.0003529499510937725,-0.00014932292741176616,0.00016720729926097952,-0.00003595027534134076]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9988541666015729, 0.0063797503892194804, -0.030795616264675137, -0.0030692209826514633, -0.0005920888034228449 ], [ -0.0008467524105273114, 0.003919133436658144, 0.013589022934450757, -0.07199076536427237, 0.12571138460142375, -0.009319698638720987, -0.006778955888375947, -0.0011487909302878938, 0.0006798372017424484 ], [ 0.0013054249382751884, 0.0019046647868280393, -0.012276885543071065, -0.011002280106092395, -0.020673253927264552, 0.013172527824339617, -0.0004998193061138924, 0.0004729826891221575, -0.0001250095066111449 ], [ -0.0001602516764341953, 0.0006503392445380797, -0.0029153310678204053, -0.004441646848315304, -0.00460265521929884, 0.00018178190664351395, 0.0016511078022609393, 0.0003075209864871726, -0.00011661674207013872 ], [ 0.0003845368526429221, -0.0001491544735743292, 0.00037717413889410496, -0.0010828828206332144, -0.0005273191111807825, -0.00014549838141669595, 0.0003754589625869511, -6.352296443855082e-7, 0.00006787918456423501 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.18223871567978814, 0.002307009205570306, 0.004844505333257969, 0.0007787357390605393 ], [ 0.0003105524729188997, -0.001059951424438261, 0.007507407266564787, -0.07270720521924784, -0.13646459245621564, 0.012191035049370965, -0.0011898309143352397, 0.00015766401157337823, 0.0002514625042235145 ], [ -0.000700790698198032, -0.003450896401246387, -0.009054725915865753, -0.015397133320294647, -0.006888552241153061, 0.0033745207454887478, 0.001617906583986967, -0.001380221415026163, -0.0004102529614824906 ], [ -0.0004350946535641631, -0.0010668545046281358, -0.0016591337431018502, 0.0005891845429983656, 0.003770521102537677, -0.0010681846365999561, 0.0008415551854599172, -0.0002534238167822584, 0.000056278034024408717 ], [ -0.00019000357550334615, -0.0001701414278874004, 0.00048727295719006757, -0.0013165745186103945, 0.0014528599056935609, -0.0003529499510937725, -0.00014932292741176616, 0.00016720729926097952, -0.00003595027534134076 ] ]

DnaBrYPa3V5CnGj3ibXDURC

{"aspect_ratio": 11.659317780793227, "major_radius": 1.0, "max_elongation": 5.34909537858261, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.40356859465971856, 0.13002692303483981, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 3, "poloidal_winding": 0, "torodial_winding": 3, "modB_spline_knot_coefficients": [[0.7721440888797981, 0.7721441033306173, 0.7721448500770555, 0.7721515741599095, 0.7721810851383638, 0.772269441719074, 0.7724784114940025, 0.7728996426220868, 0.7736560283507085, 0.7749001380745257, 0.7768098750470208, 0.7795817251946385, 0.7834220996985027, 0.7885373578630777, 0.7951231356071988, 0.8033536064533102, 0.8133712728396617, 0.8252778318281786, 0.8391265861035336, 0.8549167833352256, 0.8725901688653795, 0.8920299322899811, 0.9130621214974317, 0.9354594914983951, 0.9589476530329941, 0.9832132903223464, 1.0079141310351898, 1.0326902769121902, 1.0571764426274541, 1.08101460521442, 1.1038665383293835, 1.1254256960898381, 1.1454279212433118, 1.1636604827300299, 1.179968998706804, 1.1942618728471783, 1.2065119638686825, 1.216755319948851, 1.2250869396333421, 1.2316536670390612, 1.2366444888764712, 1.240278670370374, 1.2427923416343545, 1.2444243189023112, 1.2454021074123245, 1.2459291724965678, 1.2461746651387742, 1.2462668216095705, 1.24629118068402, 1.2462944963837972, 1.2462945849426772], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8077244787367709}

11.659318

1

5.349095

[ [ 0.7721440888797981, 0.7721441033306173, 0.7721448500770555, 0.7721515741599095, 0.7721810851383638, 0.772269441719074, 0.7724784114940025, 0.7728996426220868, 0.7736560283507085, 0.7749001380745257, 0.7768098750470208, 0.7795817251946385, 0.7834220996985027, 0.7885373578630777, 0.7951231356071988, 0.8033536064533102, 0.8133712728396617, 0.8252778318281786, 0.8391265861035336, 0.8549167833352256, 0.8725901688653795, 0.8920299322899811, 0.9130621214974317, 0.9354594914983951, 0.9589476530329941, 0.9832132903223464, 1.0079141310351898, 1.0326902769121902, 1.0571764426274541, 1.08101460521442, 1.1038665383293835, 1.1254256960898381, 1.1454279212433118, 1.1636604827300299, 1.179968998706804, 1.1942618728471783, 1.2065119638686825, 1.216755319948851, 1.2250869396333421, 1.2316536670390612, 1.2366444888764712, 1.240278670370374, 1.2427923416343545, 1.2444243189023112, 1.2454021074123245, 1.2459291724965678, 1.2461746651387742, 1.2462668216095705, 1.24629118068402, 1.2462944963837972, 1.2462945849426772 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

3

0

3

[ [ [ 0, 0, 0, 0, 0 ], [ -0.40356859465971856, 0.13002692303483981, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.807724

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DDQERoa2t8Vm3ajYR8SyecS

null

false

null

false

DHx7F4jG5wWT8pYQBnvYLcG

DC22nykAc3BUBVfudrJY2pq

{"qi": 0.03015888017864252, "vacuum_well": -0.08416564717248479, "aspect_ratio": 8.925844106745293, "max_elongation": 6.08899977444333, "average_triangularity": -0.5482232280888304, "axis_magnetic_mirror_ratio": 0.40227608027670303, "edge_magnetic_mirror_ratio": 0.49927774611347997, "aspect_ratio_over_edge_rotational_transform": 12.080091241515834, "flux_compression_in_regions_of_bad_curvature": 1.377505706551834, "axis_rotational_transform_over_n_field_periods": 0.20127718439945227, "edge_rotational_transform_over_n_field_periods": 0.18472219969808068, "minimum_normalized_magnetic_gradient_scale_length": 5.418142983547685}

8.925844

12.080091

-0.934694

0.402276

0.201277

0.499278

0.184722

1.377506

6.089

5.418143

0.030159

-0.084166

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0816113059210171,-0.039794664665441105,0.0008307832179129793,0.0022455887429993996],[-0.000014233993533133149,-0.000325629373990322,0.007412057432149832,0.03634252758020634,0.101911899004874,-0.001082310264048647,-0.016678443933211388,-8.226782360051593e-6,0.0005674809777357513],[-0.0010343411417477228,0.007084200742489652,-0.014825481197145808,0.013204491049677048,-0.019411822115941522,-0.011301263806040003,-0.002751432613115592,-0.0003257317521461428,-0.0001880107959456674],[0.0002117907301783007,-0.002738086572739734,0.003492073328374763,0.0018110950942426722,0.0008928306951503382,0.00039871906202797473,0.0005656583452066646,-0.00039137584450881033,-0.0003082525565877359],[-0.0005058718710648966,0.001071610640077834,-0.0008408885556215853,-0.0006728814413332353,0.000052105808616514666,0.000036486356384810676,-0.00016444798029420022,-0.00018234548074390697,-0.00009865843391072436]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07229236350223023,0.021631671063763406,-0.0025684648353802384,-0.0013460672908688614],[0.0005615424850651632,0.008110635838745174,-0.009497545439587328,0.11558098311208642,-0.1592480584926019,-0.03915098453364333,0.002436685946280065,0.0029274197100263304,0.00028636259531071996],[0.0004704515968075139,0.0006579366579198402,-0.004267375332893085,-0.020662781687964697,-0.013230456821240785,-0.0034962196387327265,0.0038309896645103325,0.0026293468057322885,0.0004931143880765439],[-0.00048493366362671505,-0.00007601643680891511,-0.0022124956434091334,0.000012283027638154763,-0.0032486559650624163,-0.0018874443838810583,-0.0003526300895832018,0.0005532390049495027,0.00025774127489439715],[-0.0001349810777999743,1.5101623319921553e-6,-0.0004631533786847858,0.000615227781389094,0.0005844721917651332,-0.0000936911878674033,-0.00011656998867545787,0.00005664170341261239,0.00013412164376762543]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.0816113059210171, -0.039794664665441105, 0.0008307832179129793, 0.0022455887429993996 ], [ -0.000014233993533133149, -0.000325629373990322, 0.007412057432149832, 0.03634252758020634, 0.101911899004874, -0.001082310264048647, -0.016678443933211388, -0.000008226782360051593, 0.0005674809777357513 ], [ -0.0010343411417477228, 0.007084200742489652, -0.014825481197145808, 0.013204491049677048, -0.019411822115941522, -0.011301263806040003, -0.002751432613115592, -0.0003257317521461428, -0.0001880107959456674 ], [ 0.0002117907301783007, -0.002738086572739734, 0.003492073328374763, 0.0018110950942426722, 0.0008928306951503382, 0.00039871906202797473, 0.0005656583452066646, -0.00039137584450881033, -0.0003082525565877359 ], [ -0.0005058718710648966, 0.001071610640077834, -0.0008408885556215853, -0.0006728814413332353, 0.000052105808616514666, 0.000036486356384810676, -0.00016444798029420022, -0.00018234548074390697, -0.00009865843391072436 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07229236350223023, 0.021631671063763406, -0.0025684648353802384, -0.0013460672908688614 ], [ 0.0005615424850651632, 0.008110635838745174, -0.009497545439587328, 0.11558098311208642, -0.1592480584926019, -0.03915098453364333, 0.002436685946280065, 0.0029274197100263304, 0.00028636259531071996 ], [ 0.0004704515968075139, 0.0006579366579198402, -0.004267375332893085, -0.020662781687964697, -0.013230456821240785, -0.0034962196387327265, 0.0038309896645103325, 0.0026293468057322885, 0.0004931143880765439 ], [ -0.00048493366362671505, -0.00007601643680891511, -0.0022124956434091334, 0.000012283027638154763, -0.0032486559650624163, -0.0018874443838810583, -0.0003526300895832018, 0.0005532390049495027, 0.00025774127489439715 ], [ -0.0001349810777999743, 0.0000015101623319921553, -0.0004631533786847858, 0.000615227781389094, 0.0005844721917651332, -0.0000936911878674033, -0.00011656998867545787, 0.00005664170341261239, 0.00013412164376762543 ] ]

DiDkzsJF8SZDd9K56cFvRHb

{"aspect_ratio": 8.54815700224243, "major_radius": 1.0, "max_elongation": 5.903273262636003, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.36208055300282893, 0.5546424000496548, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.725865034954663, 0.7258659735930262, 0.7258824135822329, 0.7259590579632024, 0.7261723003440501, 0.7266265488778139, 0.7274489802517206, 0.7287836310436124, 0.7307852774726289, 0.7336133753397613, 0.7374262402676118, 0.7423755940963915, 0.7486015679153744, 0.7562282274421686, 0.7653596681453889, 0.7760767133474102, 0.7884342371893565, 0.80245912494516, 0.8181488751824642, 0.8354708413087083, 0.8543621038449527, 0.8747299591435563, 0.8964530050619405, 0.9193827992086261, 0.9433460606964866, 0.9681473817931133, 0.9935724113799732, 1.0193914676563567, 1.045363532988281, 1.0712405791423358, 1.0967721662908583, 1.1217102540502994, 1.145814157328695, 1.1688555738016515, 1.1906236032735336, 1.2109296718385298, 1.2296122654086368, 1.246541367519022, 1.261622484939346, 1.2748001309255108, 1.2860606190892823, 1.2954339995700483, 1.3029949414879218, 1.3088623283411929, 1.3131972806339898, 1.3161992427043634, 1.3180996491131083, 1.3191524780433355, 1.3196205999411927, 1.3197559133466459, 1.319768288174467], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7305646631669535}

8.548157

1

5.903273

[ [ 0.725865034954663, 0.7258659735930262, 0.7258824135822329, 0.7259590579632024, 0.7261723003440501, 0.7266265488778139, 0.7274489802517206, 0.7287836310436124, 0.7307852774726289, 0.7336133753397613, 0.7374262402676118, 0.7423755940963915, 0.7486015679153744, 0.7562282274421686, 0.7653596681453889, 0.7760767133474102, 0.7884342371893565, 0.80245912494516, 0.8181488751824642, 0.8354708413087083, 0.8543621038449527, 0.8747299591435563, 0.8964530050619405, 0.9193827992086261, 0.9433460606964866, 0.9681473817931133, 0.9935724113799732, 1.0193914676563567, 1.045363532988281, 1.0712405791423358, 1.0967721662908583, 1.1217102540502994, 1.145814157328695, 1.1688555738016515, 1.1906236032735336, 1.2109296718385298, 1.2296122654086368, 1.246541367519022, 1.261622484939346, 1.2748001309255108, 1.2860606190892823, 1.2954339995700483, 1.3029949414879218, 1.3088623283411929, 1.3131972806339898, 1.3161992427043634, 1.3180996491131083, 1.3191524780433355, 1.3196205999411927, 1.3197559133466459, 1.319768288174467 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ -0.36208055300282893, 0.5546424000496548, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.730565

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DfhX5nwDvpuH6eYauBPgeny

null

false

null

false

DDsXfzUzxQGu8PRFUE957J3

DKxmkTvdYUxxs58cziiED3h

{"qi": 0.0020009930965726457, "vacuum_well": -0.11285662078095249, "aspect_ratio": 9.845960829050828, "max_elongation": 6.36770752924152, "average_triangularity": -0.1675771921534414, "axis_magnetic_mirror_ratio": 0.28595477780092937, "edge_magnetic_mirror_ratio": 0.3296957333941982, "aspect_ratio_over_edge_rotational_transform": 30.984833479279043, "flux_compression_in_regions_of_bad_curvature": 1.2458889830637296, "axis_rotational_transform_over_n_field_periods": 0.19088465035898936, "edge_rotational_transform_over_n_field_periods": 0.15888355242630667, "minimum_normalized_magnetic_gradient_scale_length": 5.196199531246827}

9.845961

30.984833

-0.324627

0.285955

0.190885

0.329696

0.158884

1.245889

6.367708

5.1962

0.002001

-0.112857

{"r_cos":[[0.0,0.0,0.0,0.0,0.9980340848110016,-0.14939288199187978,-0.06335197017992972,0.0166280599307472,0.002272498172363249],[0.0012391493110785125,-0.0031740134310251247,0.028753631415415398,-0.028659849227010478,0.09819054340804217,-0.02170197392877488,-0.010002836979836838,0.00343707973221496,0.00004948632160843688],[0.00009808298532905953,0.0015611800150583462,0.000704348715515658,0.01342652292896159,-0.007778923740471154,0.008667298982737154,-0.005689932856034018,0.0012045253356174827,0.00019874417091386303],[-0.00020020563736198856,0.0003291922474842414,0.0022463996028928225,-0.00235865061300031,0.004180288265012598,-0.0024131770767237717,-0.00029292529416871356,0.0007478530094712663,-0.00013132966065216396],[-0.00007915553283998182,0.00021780038602678474,-0.0008289738382173574,-0.00020392995654168738,0.0010326417276537584,-0.0007889173656399829,-0.000016220007954893204,0.0002853749624766803,-0.0000735149214836056]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.18122732846401485,0.045690353330538884,-0.002968492306796736,0.00030216348449989966],[0.002903041297228195,-0.0055008529539168835,0.022866359962970123,-0.08016223865038036,-0.12617643382075722,0.09413244020666356,0.00362027812270836,-0.009574275528138268,-0.0003994722735106578],[-0.0015039643016452407,0.00015698430604106054,-0.007887690942829102,0.022288047118910657,-0.01642179338402545,-0.0011754629025136267,0.006747600455594551,-0.0024250536328093864,0.000029481592299811666],[-0.0009073237032739523,-9.42439370636678e-6,0.0028850351042847646,-0.0028441013258220104,-0.006596254585968069,0.006963186438845572,-0.002012500185356704,-0.000773719767318127,0.00034899125557416024],[-0.00014045936933024478,0.0006862977884553094,0.0002364027138846803,-0.002252760182003327,0.0004279979251721432,0.0017377911110493022,-0.0011556836349530077,-0.0003437963620938467,0.00021373572724385774]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9980340848110016, -0.14939288199187978, -0.06335197017992972, 0.0166280599307472, 0.002272498172363249 ], [ 0.0012391493110785125, -0.0031740134310251247, 0.028753631415415398, -0.028659849227010478, 0.09819054340804217, -0.02170197392877488, -0.010002836979836838, 0.00343707973221496, 0.00004948632160843688 ], [ 0.00009808298532905953, 0.0015611800150583462, 0.000704348715515658, 0.01342652292896159, -0.007778923740471154, 0.008667298982737154, -0.005689932856034018, 0.0012045253356174827, 0.00019874417091386303 ], [ -0.00020020563736198856, 0.0003291922474842414, 0.0022463996028928225, -0.00235865061300031, 0.004180288265012598, -0.0024131770767237717, -0.00029292529416871356, 0.0007478530094712663, -0.00013132966065216396 ], [ -0.00007915553283998182, 0.00021780038602678474, -0.0008289738382173574, -0.00020392995654168738, 0.0010326417276537584, -0.0007889173656399829, -0.000016220007954893204, 0.0002853749624766803, -0.0000735149214836056 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.18122732846401485, 0.045690353330538884, -0.002968492306796736, 0.00030216348449989966 ], [ 0.002903041297228195, -0.0055008529539168835, 0.022866359962970123, -0.08016223865038036, -0.12617643382075722, 0.09413244020666356, 0.00362027812270836, -0.009574275528138268, -0.0003994722735106578 ], [ -0.0015039643016452407, 0.00015698430604106054, -0.007887690942829102, 0.022288047118910657, -0.01642179338402545, -0.0011754629025136267, 0.006747600455594551, -0.0024250536328093864, 0.000029481592299811666 ], [ -0.0009073237032739523, -0.00000942439370636678, 0.0028850351042847646, -0.0028441013258220104, -0.006596254585968069, 0.006963186438845572, -0.002012500185356704, -0.000773719767318127, 0.00034899125557416024 ], [ -0.00014045936933024478, 0.0006862977884553094, 0.0002364027138846803, -0.002252760182003327, 0.0004279979251721432, 0.0017377911110493022, -0.0011556836349530077, -0.0003437963620938467, 0.00021373572724385774 ] ]

DSqYcSYoWikhNjpi2BoMWs2

{"aspect_ratio": 11.511676089254184, "major_radius": 1.0, "max_elongation": 6.00922816032406, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1120097738757215, -0.05047254854456381, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.7891122161532956, 0.789112217781927, 0.7891123018116746, 0.7891130759262689, 0.7891165949909932, 0.7891275900594016, 0.7891548678921332, 0.789212777773196, 0.7893226612122385, 0.7895142130307711, 0.7898266923385165, 0.7903099302505728, 0.7910250885028255, 0.792045129751315, 0.7934549665173182, 0.7953512616175261, 0.7978418586097129, 0.8010448263754034, 0.8050871075238581, 0.8101027658991039, 0.8162308341624406, 0.8236127682647115, 0.8323895216756455, 0.842698258566642, 0.8546687318212359, 0.8684193588581082, 0.8840530358942779, 0.9016527395710137, 0.9212769739596756, 0.9429551310437572, 0.9666828440713556, 0.9924174259917603, 1.020073499927304, 1.0495189458152394, 1.0805713076999994, 1.112994830652128, 1.1464983263293016, 1.1807341037847403, 1.2152982502359648, 1.2497326096431327, 1.2835288921927592, 1.3161354666757596, 1.34696755990682, 1.3754218478566123, 1.4008968388209004, 1.4228211566259397, 1.4406931403572423, 1.4541378765510746, 1.4629942857466376, 1.4674649870720549, 1.4684703062077127], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2545422483297216}

11.511676

1

6.009228

[ [ 0.7891122161532956, 0.789112217781927, 0.7891123018116746, 0.7891130759262689, 0.7891165949909932, 0.7891275900594016, 0.7891548678921332, 0.789212777773196, 0.7893226612122385, 0.7895142130307711, 0.7898266923385165, 0.7903099302505728, 0.7910250885028255, 0.792045129751315, 0.7934549665173182, 0.7953512616175261, 0.7978418586097129, 0.8010448263754034, 0.8050871075238581, 0.8101027658991039, 0.8162308341624406, 0.8236127682647115, 0.8323895216756455, 0.842698258566642, 0.8546687318212359, 0.8684193588581082, 0.8840530358942779, 0.9016527395710137, 0.9212769739596756, 0.9429551310437572, 0.9666828440713556, 0.9924174259917603, 1.020073499927304, 1.0495189458152394, 1.0805713076999994, 1.112994830652128, 1.1464983263293016, 1.1807341037847403, 1.2152982502359648, 1.2497326096431327, 1.2835288921927592, 1.3161354666757596, 1.34696755990682, 1.3754218478566123, 1.4008968388209004, 1.4228211566259397, 1.4406931403572423, 1.4541378765510746, 1.4629942857466376, 1.4674649870720549, 1.4684703062077127 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.1120097738757215, -0.05047254854456381, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.254542

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D2RMuBPgB7Y7aVxCr6zFfHz

null

false

null

false

DShQVdHTEDnyVXveTqo8gW5

DUiW5zhJVAPHiPqaj6eiRSs

{"qi": 0.05736401885944629, "vacuum_well": -0.2716654361361464, "aspect_ratio": 8.07889032826672, "max_elongation": 3.025935389623843, "average_triangularity": -0.0014617188156222372, "axis_magnetic_mirror_ratio": 0.47333536654838015, "edge_magnetic_mirror_ratio": 0.9181294920557181, "aspect_ratio_over_edge_rotational_transform": 8.946836733354633, "flux_compression_in_regions_of_bad_curvature": 0.7983345744826594, "axis_rotational_transform_over_n_field_periods": 0.236832799789868, "edge_rotational_transform_over_n_field_periods": 0.18059769210156412, "minimum_normalized_magnetic_gradient_scale_length": 4.3893236769695205}

8.07889

8.946837

-0.133862

0.473335

0.236833

0.918129

0.180598

0.798335

3.025935

4.389324

0.057364

-0.271665

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.15517213755863127,-0.02743017014740541,-0.009708396463728213,0.0011613993028286793],[-0.003415265989069465,0.006236837012759497,0.03804395651972521,-0.0554704223428437,0.14198288807938636,-0.026893832437991778,0.0004052855311497579,0.002414059990456968,0.00031070441196213126],[0.0026970768665719,-0.0029051751709738005,-0.01156611329615951,0.001999031115253698,0.001460770402084101,0.005827901261142482,-0.0005086226856899478,-0.00008833169988108742,-1.1263810931409334e-6],[-0.0011270902113112687,0.001569338250536856,0.001976003980554088,-0.004182145740889778,0.0010670190871563496,-0.0016673115483039687,-0.00006865905656569537,0.0004563357602427727,-0.00016347777872752727],[0.00007937894850235035,-0.0006795120183518601,0.0011239246653735216,-0.00009107275485129189,-0.0003964640966454304,-0.000291796555261117,0.00024352124955709858,-0.00011841406714220858,0.000024738283237606335]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04198818950650302,0.017296911877587112,0.0064417361451757195,0.0006512591539662506],[-0.0022930128498720804,0.011364930834244034,0.018522988327389276,-0.00569639519683206,-0.10458761562763909,0.004580136624150016,-0.003808061637357572,-0.0015654993585329834,-0.00038842354736530645],[0.0037995812054422862,-0.011107941668321472,-0.000533497306950301,-0.004229234934974414,-0.008752911233451968,-0.007891662718596997,-0.0006875138909669896,-0.0008075665262289589,0.00010126488563894998],[-0.0013123077403342468,0.004948027500703507,-0.0038233024103234248,0.00021082304433449377,-0.0022019913547020923,0.0004235932247148673,-0.00022431937571344316,-0.0004231144494206236,-5.9013128088760206e-6],[0.00021069839043234514,-0.00040731433054572424,0.000623612525446481,-0.0004199578507299356,0.00025120644334091635,-0.000010836668732728226,-0.00007882670019730042,-0.00002900501667216934,-0.00003119351208190544]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.15517213755863127, -0.02743017014740541, -0.009708396463728213, 0.0011613993028286793 ], [ -0.003415265989069465, 0.006236837012759497, 0.03804395651972521, -0.0554704223428437, 0.14198288807938636, -0.026893832437991778, 0.0004052855311497579, 0.002414059990456968, 0.00031070441196213126 ], [ 0.0026970768665719, -0.0029051751709738005, -0.01156611329615951, 0.001999031115253698, 0.001460770402084101, 0.005827901261142482, -0.0005086226856899478, -0.00008833169988108742, -0.0000011263810931409334 ], [ -0.0011270902113112687, 0.001569338250536856, 0.001976003980554088, -0.004182145740889778, 0.0010670190871563496, -0.0016673115483039687, -0.00006865905656569537, 0.0004563357602427727, -0.00016347777872752727 ], [ 0.00007937894850235035, -0.0006795120183518601, 0.0011239246653735216, -0.00009107275485129189, -0.0003964640966454304, -0.000291796555261117, 0.00024352124955709858, -0.00011841406714220858, 0.000024738283237606335 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04198818950650302, 0.017296911877587112, 0.0064417361451757195, 0.0006512591539662506 ], [ -0.0022930128498720804, 0.011364930834244034, 0.018522988327389276, -0.00569639519683206, -0.10458761562763909, 0.004580136624150016, -0.003808061637357572, -0.0015654993585329834, -0.00038842354736530645 ], [ 0.0037995812054422862, -0.011107941668321472, -0.000533497306950301, -0.004229234934974414, -0.008752911233451968, -0.007891662718596997, -0.0006875138909669896, -0.0008075665262289589, 0.00010126488563894998 ], [ -0.0013123077403342468, 0.004948027500703507, -0.0038233024103234248, 0.00021082304433449377, -0.0022019913547020923, 0.0004235932247148673, -0.00022431937571344316, -0.0004231144494206236, -0.0000059013128088760206 ], [ 0.00021069839043234514, -0.00040731433054572424, 0.000623612525446481, -0.0004199578507299356, 0.00025120644334091635, -0.000010836668732728226, -0.00007882670019730042, -0.00002900501667216934, -0.00003119351208190544 ] ]

D4TuH2QYjcpqXMmjd2WjzG7

{"aspect_ratio": 7.043653911740583, "major_radius": 1.0, "max_elongation": 4.17382571139839, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2272227961623706, 0.2253747050888608, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.8617379293573937, 0.8617521106810734, 0.8618898241879085, 0.8623280786648105, 0.8632508983347245, 0.8648252369173067, 0.8671889903200716, 0.8704451333103834, 0.8746596069552699, 0.8798616782942069, 0.8860459732802938, 0.8931756375587471, 0.901186231120588, 0.9099900616188695, 0.919480729880069, 0.9295377114975207, 0.9400308367893782, 0.9508245616371113, 0.9617819461516406, 0.972768278274001, 0.9836542963359374, 0.9943189789976989, 1.0046518833545666, 1.014555022731153, 1.0239442850386744, 1.03275040076298, 1.0409194768389929, 1.0484131189728585, 1.0552081704916185, 1.061296100605399, 1.0666820791158613, 1.0713837781401838, 1.0754299443737099, 1.078858787808084, 1.081716234667384, 1.084054093625737, 1.0859281851203089, 1.0873964837577452, 1.088517323403099, 1.0893477134974365, 1.0899418134156533, 1.0903496091684464, 1.090615833358573, 1.0907791648613223, 1.0908717389809766, 1.0909189914925994, 1.0909398504689067, 1.0909472772082809, 1.0909491402661575, 1.0909493811002946, 1.0909493872079914], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.3500816239131601}

7.043654

1

4.173826

[ [ 0.8617379293573937, 0.8617521106810734, 0.8618898241879085, 0.8623280786648105, 0.8632508983347245, 0.8648252369173067, 0.8671889903200716, 0.8704451333103834, 0.8746596069552699, 0.8798616782942069, 0.8860459732802938, 0.8931756375587471, 0.901186231120588, 0.9099900616188695, 0.919480729880069, 0.9295377114975207, 0.9400308367893782, 0.9508245616371113, 0.9617819461516406, 0.972768278274001, 0.9836542963359374, 0.9943189789976989, 1.0046518833545666, 1.014555022731153, 1.0239442850386744, 1.03275040076298, 1.0409194768389929, 1.0484131189728585, 1.0552081704916185, 1.061296100605399, 1.0666820791158613, 1.0713837781401838, 1.0754299443737099, 1.078858787808084, 1.081716234667384, 1.084054093625737, 1.0859281851203089, 1.0873964837577452, 1.088517323403099, 1.0893477134974365, 1.0899418134156533, 1.0903496091684464, 1.090615833358573, 1.0907791648613223, 1.0908717389809766, 1.0909189914925994, 1.0909398504689067, 1.0909472772082809, 1.0909491402661575, 1.0909493811002946, 1.0909493872079914 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ -0.2272227961623706, 0.2253747050888608, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.350082

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DhC2TsH4y7xSDPQZoXUqUWW

null

false

null

false

DkVnuY78rtA8rgXycDmsBz2

DMV3rJwYB4MWFp5nJGGNw4y

{"qi": 0.006844421502067735, "vacuum_well": -0.08957305926695196, "aspect_ratio": 9.986150714534801, "max_elongation": 4.9828588093760615, "average_triangularity": -0.6158239953676056, "axis_magnetic_mirror_ratio": 0.14420697881674263, "edge_magnetic_mirror_ratio": 0.20672449080080543, "aspect_ratio_over_edge_rotational_transform": 32.15074201100806, "flux_compression_in_regions_of_bad_curvature": 1.1227783496545463, "axis_rotational_transform_over_n_field_periods": 0.30260034930737034, "edge_rotational_transform_over_n_field_periods": 0.15530202555069572, "minimum_normalized_magnetic_gradient_scale_length": 5.247424879209955}

9.986151

32.150742

-0.726404

0.144207

0.3026

0.206724

0.155302

1.122778

4.982859

5.247425

0.006844

-0.089573

{"r_cos":[[0.0,0.0,0.0,0.0,0.9928166720970057,-0.11237298004470307,-0.05329527481299063,0.010864916258226527,0.0008512997784261125],[-0.00038392121152380266,-0.006918669910273392,0.026497491441260224,-0.004915348865865121,0.09929781251995383,-0.029598178147727756,0.01940369089741734,-0.002069159960613279,-0.00011063373890432451],[0.0019660987801365963,0.00010572690648415727,-0.003380698949627148,0.013915436499474975,-0.007817705195635093,-0.005360253727980592,-0.0024207872076585694,-0.0006955244626865361,-0.0002155874140998418],[-0.0009714743651306411,0.0018741323247606278,-0.0015442669529802005,-0.003138345542000992,0.002512517826108015,-0.00040607772926758243,0.00044661450279832675,-0.00027487079975802616,0.00031479463245707594],[0.00018236613726006526,-0.00038024153767623293,0.00032121036106088437,0.0015129351725759875,-0.0013390797342085511,-0.00009348327571813853,0.0006863437471372067,-0.00026326163793196196,0.00008260027307198313]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.16264574661971679,0.03377963554242906,-0.00012369848276875143,0.0013819527968274518],[-0.000913541528579722,-0.0019117430530985087,0.03174648898959882,-0.08365287338828285,-0.09149190635739576,0.07976997210773999,-0.01455820670768199,-0.0015340526814792942,-0.0004506239188325949],[0.0021608811561249623,-0.004097685423036525,-0.012803916311138603,-0.0028898890545257733,-0.010489013792803578,0.0008027477548622135,-0.00230759452859921,0.0006469276838471335,-0.00029381107064152317],[-0.0009807928126241902,0.0020853010706898033,-0.002861776336308598,-0.00018659548500447008,-0.005967309728890016,0.0042326434405573505,-0.0026413910163485188,0.0001128930698120771,-0.00023753616687859097],[0.0001093903953989124,-0.00035587771779051474,0.0010964420825694998,-0.0006640829239380058,-0.0008209073667817184,0.0013571435466127758,-0.0004630832740339623,0.0003298395917764248,-0.00002185233663498133]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9928166720970057, -0.11237298004470307, -0.05329527481299063, 0.010864916258226527, 0.0008512997784261125 ], [ -0.00038392121152380266, -0.006918669910273392, 0.026497491441260224, -0.004915348865865121, 0.09929781251995383, -0.029598178147727756, 0.01940369089741734, -0.002069159960613279, -0.00011063373890432451 ], [ 0.0019660987801365963, 0.00010572690648415727, -0.003380698949627148, 0.013915436499474975, -0.007817705195635093, -0.005360253727980592, -0.0024207872076585694, -0.0006955244626865361, -0.0002155874140998418 ], [ -0.0009714743651306411, 0.0018741323247606278, -0.0015442669529802005, -0.003138345542000992, 0.002512517826108015, -0.00040607772926758243, 0.00044661450279832675, -0.00027487079975802616, 0.00031479463245707594 ], [ 0.00018236613726006526, -0.00038024153767623293, 0.00032121036106088437, 0.0015129351725759875, -0.0013390797342085511, -0.00009348327571813853, 0.0006863437471372067, -0.00026326163793196196, 0.00008260027307198313 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.16264574661971679, 0.03377963554242906, -0.00012369848276875143, 0.0013819527968274518 ], [ -0.000913541528579722, -0.0019117430530985087, 0.03174648898959882, -0.08365287338828285, -0.09149190635739576, 0.07976997210773999, -0.01455820670768199, -0.0015340526814792942, -0.0004506239188325949 ], [ 0.0021608811561249623, -0.004097685423036525, -0.012803916311138603, -0.0028898890545257733, -0.010489013792803578, 0.0008027477548622135, -0.00230759452859921, 0.0006469276838471335, -0.00029381107064152317 ], [ -0.0009807928126241902, 0.0020853010706898033, -0.002861776336308598, -0.00018659548500447008, -0.005967309728890016, 0.0042326434405573505, -0.0026413910163485188, 0.0001128930698120771, -0.00023753616687859097 ], [ 0.0001093903953989124, -0.00035587771779051474, 0.0010964420825694998, -0.0006640829239380058, -0.0008209073667817184, 0.0013571435466127758, -0.0004630832740339623, 0.0003298395917764248, -0.00002185233663498133 ] ]

Dj5yxRWPVfZsHs7qTpddSnX

{"aspect_ratio": 11.232837122542412, "major_radius": 1.0, "max_elongation": 4.667228624147187, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1777241481577554, 0.35583037590631966, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.8584369026897597, 0.8584369089056184, 0.858437192579175, 0.8584395873245714, 0.8584497219245952, 0.8584794648393506, 0.85854915763634, 0.8586893976555825, 0.8589422277173888, 0.8593616563095525, 0.8600134800613342, 0.8609744175675575, 0.8623305929362098, 0.8641754306452525, 0.8666070415818695, 0.8697251942921336, 0.8736279760517209, 0.8784082557906387, 0.8841500654782264, 0.8909250185397118, 0.8987888834217871, 0.9077784277030347, 0.9179086432768627, 0.9291704562176195, 0.9415290160531756, 0.9549226483716136, 0.9692625420337782, 0.9844332277824307, 1.0002938887557908, 1.016680525339575, 1.0334089769264347, 1.0502787814810022, 1.0670778303040505, 1.0835877500048854, 1.0995899163606482, 1.1148719753722591, 1.1292347152931508, 1.1424990995374686, 1.1545132339358577, 1.1651590024781329, 1.1743580630130226, 1.1820768477203263, 1.188330161576196, 1.1931829140341217, 1.196749452390319, 1.199189885787206, 1.2007026891914139, 1.2015127421442764, 1.201853753442847, 1.2019436537376815, 1.2019506057864429], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3908508911660997}

11.232837

1

4.667229

[ [ 0.8584369026897597, 0.8584369089056184, 0.858437192579175, 0.8584395873245714, 0.8584497219245952, 0.8584794648393506, 0.85854915763634, 0.8586893976555825, 0.8589422277173888, 0.8593616563095525, 0.8600134800613342, 0.8609744175675575, 0.8623305929362098, 0.8641754306452525, 0.8666070415818695, 0.8697251942921336, 0.8736279760517209, 0.8784082557906387, 0.8841500654782264, 0.8909250185397118, 0.8987888834217871, 0.9077784277030347, 0.9179086432768627, 0.9291704562176195, 0.9415290160531756, 0.9549226483716136, 0.9692625420337782, 0.9844332277824307, 1.0002938887557908, 1.016680525339575, 1.0334089769264347, 1.0502787814810022, 1.0670778303040505, 1.0835877500048854, 1.0995899163606482, 1.1148719753722591, 1.1292347152931508, 1.1424990995374686, 1.1545132339358577, 1.1651590024781329, 1.1743580630130226, 1.1820768477203263, 1.188330161576196, 1.1931829140341217, 1.196749452390319, 1.199189885787206, 1.2007026891914139, 1.2015127421442764, 1.201853753442847, 1.2019436537376815, 1.2019506057864429 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.1777241481577554, 0.35583037590631966, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.390851

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DKfYNk4agbH4Zq9KppmykAD

null

false

null

false

Des2nYyGCK6zbwjYRwX9ngK

DYtSLpZke5r4kGAEnuF7hzx

{"qi": 0.0049651426481041264, "vacuum_well": -0.11853137812058391, "aspect_ratio": 10.077008664021017, "max_elongation": 4.958886109858663, "average_triangularity": -0.4560509311241205, "axis_magnetic_mirror_ratio": 0.13777168746295354, "edge_magnetic_mirror_ratio": 0.1828048296145289, "aspect_ratio_over_edge_rotational_transform": 24.482861308270472, "flux_compression_in_regions_of_bad_curvature": 1.1508466782275086, "axis_rotational_transform_over_n_field_periods": 0.20332022958292087, "edge_rotational_transform_over_n_field_periods": 0.20579720109383082, "minimum_normalized_magnetic_gradient_scale_length": 5.658639836832508}

10.077009

24.482861

-0.744457

0.137772

0.20332

0.182805

0.205797

1.150847

4.958886

5.65864

0.004965

-0.118531

{"r_cos":[[0.0,0.0,0.0,0.0,0.9988901447671104,-0.08436460027224243,-0.06885270946418873,0.008568283485518082,0.0023978190807370696],[-0.0012921589049347138,-0.002250592453957142,0.025135889196606608,-0.02853067979283084,0.08696947192440722,-0.03695777959138576,0.005177766788844903,-0.0004729412639488638,0.0008076388746534146],[-0.0003425466424942413,0.0005136742853938466,-0.009027124326659567,0.006646755465010515,-0.006298094393295803,0.005343040742117703,-0.0034240749509774626,0.0016614296559628555,-0.0003779661602603901],[0.00013849162397265864,0.0007167730341795668,0.0014762311101260456,-0.0020862931541210036,0.0028234812122567995,-0.0023189594657846684,-0.00026299787229790714,0.0008101515453570904,-0.0001695458513204566],[-0.000049079573792629616,0.00021223750827402405,-0.0003197428569886,-4.6686652993089064e-6,0.00045313681305149135,-0.0004910027605225355,0.00021716959800915017,0.000059887510600965,-0.0000648667332951624]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.16839569987477604,0.03757836951676076,-0.0006641913933787642,0.0003355004767130395],[-0.001995203788292604,-0.008012655493478868,0.014574181794691242,-0.09819864044618436,-0.13546467850318128,0.05254316300217417,-0.002257324118395327,0.003979778195775377,-0.00098497180532619],[-0.001017125121877893,-0.0016313601928091381,-0.018303342050059478,0.0005978259714759394,-0.010107214775362583,0.007210109702060358,0.002007888109159993,-0.001264252690393629,-0.00008941523920670303],[0.0004229136759807812,0.0010400972585104466,0.004934539798887597,-0.01029304283887138,-0.008933980548898187,0.013913098530745242,-0.0020464567180557345,0.00012952903760458695,-0.00020517446430602188],[-0.00028387095323834446,-0.0001397080683513746,0.0002283752615451168,-0.001282570524410455,0.0013106539814904227,0.0018387634596411144,-0.0013235871584597134,-0.00005073616756487096,-0.00004108635732736569]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9988901447671104, -0.08436460027224243, -0.06885270946418873, 0.008568283485518082, 0.0023978190807370696 ], [ -0.0012921589049347138, -0.002250592453957142, 0.025135889196606608, -0.02853067979283084, 0.08696947192440722, -0.03695777959138576, 0.005177766788844903, -0.0004729412639488638, 0.0008076388746534146 ], [ -0.0003425466424942413, 0.0005136742853938466, -0.009027124326659567, 0.006646755465010515, -0.006298094393295803, 0.005343040742117703, -0.0034240749509774626, 0.0016614296559628555, -0.0003779661602603901 ], [ 0.00013849162397265864, 0.0007167730341795668, 0.0014762311101260456, -0.0020862931541210036, 0.0028234812122567995, -0.0023189594657846684, -0.00026299787229790714, 0.0008101515453570904, -0.0001695458513204566 ], [ -0.000049079573792629616, 0.00021223750827402405, -0.0003197428569886, -0.0000046686652993089064, 0.00045313681305149135, -0.0004910027605225355, 0.00021716959800915017, 0.000059887510600965, -0.0000648667332951624 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.16839569987477604, 0.03757836951676076, -0.0006641913933787642, 0.0003355004767130395 ], [ -0.001995203788292604, -0.008012655493478868, 0.014574181794691242, -0.09819864044618436, -0.13546467850318128, 0.05254316300217417, -0.002257324118395327, 0.003979778195775377, -0.00098497180532619 ], [ -0.001017125121877893, -0.0016313601928091381, -0.018303342050059478, 0.0005978259714759394, -0.010107214775362583, 0.007210109702060358, 0.002007888109159993, -0.001264252690393629, -0.00008941523920670303 ], [ 0.0004229136759807812, 0.0010400972585104466, 0.004934539798887597, -0.01029304283887138, -0.008933980548898187, 0.013913098530745242, -0.0020464567180557345, 0.00012952903760458695, -0.00020517446430602188 ], [ -0.00028387095323834446, -0.0001397080683513746, 0.0002283752615451168, -0.001282570524410455, 0.0013106539814904227, 0.0018387634596411144, -0.0013235871584597134, -0.00005073616756487096, -0.00004108635732736569 ] ]

DhSePnT2h9bK5toRwzRJDtY

{"aspect_ratio": 10.584937791510754, "major_radius": 1.0, "max_elongation": 4.606191301302284, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.030820818725336006, 0.24166531415936143, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 2, "poloidal_winding": 0, "torodial_winding": 2, "modB_spline_knot_coefficients": [[0.8551518907482079, 0.855151914387704, 0.8551527677731278, 0.8551589826003474, 0.8551826078837886, 0.8552463500233328, 0.855385694038613, 0.8556499302196979, 0.8561021176351581, 0.8568180730873066, 0.8578845073918402, 0.8593964503177172, 0.8614541159989271, 0.8641593648099224, 0.8676119172201783, 0.8719054710845567, 0.8771238669290315, 0.883337436595656, 0.8905996595234223, 0.8989442382802376, 0.9083826909806614, 0.9189025431350418, 0.9304661854568862, 0.943010447362078, 0.9564469184642859, 0.9706630324320016, 0.9855239092423, 1.0008749332580595, 1.0165450257804376, 1.0323505518992653, 1.04809978269677, 1.0635978152776844, 1.0786518348348961, 1.0930765851629032, 1.1066998968707782, 1.1193681062197145, 1.1309511822537544, 1.1413473659953972, 1.1504871133039862, 1.158336123013227, 1.164897224797631, 1.1702108977193781, 1.1743541917880398, 1.1774378329155477, 1.1796013091418627, 1.1810057674969534, 1.1818246043807183, 1.1822317234071356, 1.182387597311694, 1.1824235948478308, 1.182425856004308], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4182759788618233}

10.584938

1

4.606191

[ [ 0.8551518907482079, 0.855151914387704, 0.8551527677731278, 0.8551589826003474, 0.8551826078837886, 0.8552463500233328, 0.855385694038613, 0.8556499302196979, 0.8561021176351581, 0.8568180730873066, 0.8578845073918402, 0.8593964503177172, 0.8614541159989271, 0.8641593648099224, 0.8676119172201783, 0.8719054710845567, 0.8771238669290315, 0.883337436595656, 0.8905996595234223, 0.8989442382802376, 0.9083826909806614, 0.9189025431350418, 0.9304661854568862, 0.943010447362078, 0.9564469184642859, 0.9706630324320016, 0.9855239092423, 1.0008749332580595, 1.0165450257804376, 1.0323505518992653, 1.04809978269677, 1.0635978152776844, 1.0786518348348961, 1.0930765851629032, 1.1066998968707782, 1.1193681062197145, 1.1309511822537544, 1.1413473659953972, 1.1504871133039862, 1.158336123013227, 1.164897224797631, 1.1702108977193781, 1.1743541917880398, 1.1774378329155477, 1.1796013091418627, 1.1810057674969534, 1.1818246043807183, 1.1822317234071356, 1.182387597311694, 1.1824235948478308, 1.182425856004308 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

2

0

2

[ [ [ 0, 0, 0, 0, 0 ], [ 0.030820818725336006, 0.24166531415936143, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.418276

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DPX3NHn59MnnfPCGAcFEdFh

null

false

null

false

DUkxdhXScQu96227S7GZVWX

DUbuesmCHEhS8mKFFLb72Ys

{"qi": 0.0011594569701869285, "vacuum_well": -0.105104074664307, "aspect_ratio": 9.622571186043452, "max_elongation": 7.291614243202135, "average_triangularity": -0.04255068462751177, "axis_magnetic_mirror_ratio": 0.3524540955449452, "edge_magnetic_mirror_ratio": 0.3565572680219993, "aspect_ratio_over_edge_rotational_transform": 13.58872885187399, "flux_compression_in_regions_of_bad_curvature": 1.1685022473724545, "axis_rotational_transform_over_n_field_periods": 0.15413397148925811, "edge_rotational_transform_over_n_field_periods": 0.1416257736972421, "minimum_normalized_magnetic_gradient_scale_length": 9.832277640777857}

9.622571

13.588729

0.070585

0.352454

0.154134

0.356557

0.141626

1.168502

7.291614

9.832278

0.001159

-0.105104

{"r_cos":[[0.0,0.0,0.0,0.0,0.9989557457700925,0.024331600879433358,-0.014805051032415664,-0.0026243083493467014,0.0003247833003476569],[0.0004873707015373907,0.0032813423137828027,-0.010789259401888414,-0.056301547219343426,0.10277874345127985,0.003696147898128544,-0.008460108070396967,-0.0014617015178112398,0.00027021247342057985],[-0.00008796571976539408,0.001115328993720302,0.011084894932559309,0.014058523631610824,-0.006530575434361367,0.005404937120646264,-0.0038678644376039907,0.0008430279023776321,-0.0001500591940253035],[0.00004295157330481871,0.000060894393063557183,0.0007708975437492805,-0.00002776782515845424,-0.0005617488003002141,0.00009081454804161502,-0.0006065709741287522,0.0005443167412722956,-0.00007789622481681364],[0.00008388277194676028,0.000042248367429486406,-0.0009978220159049017,-0.000390087351600895,0.00010217079924078505,0.00016569427776650346,0.00009002371761018585,0.00004968184538490497,-0.000026299583542097175]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.032411286456623695,0.002562414760830267,0.00037143022172956517,0.00012662986616653223],[0.0004511647087316801,0.002571391618465806,-0.0027365673036124894,-0.06995164599750567,-0.1622300022666191,0.028502306482040683,0.0012269552691966498,0.0001415996328485154,0.000026113685354076332],[-0.00002718785471679993,0.0014120962317740733,0.01138020046963071,0.017841755231546838,-0.04566028360580251,0.014943938871591575,-0.0013070156537490591,0.00012420704840197252,0.00008079871385665977],[-0.00011836108586700349,-0.0003796909770459194,0.00030953657632972723,0.006527499363637553,-0.007525445727457278,0.0031932223106732227,-0.0015673950369792626,-0.0001930569462115375,0.00007659275943548743],[0.00003043838077225903,0.00004398711764269731,-0.0008734113369257091,-0.0012254562672149374,0.0007385609203147231,-0.00007003447740508764,-0.00029508698684157174,-0.00003973151472172835,0.00005452588100222705]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9989557457700925, 0.024331600879433358, -0.014805051032415664, -0.0026243083493467014, 0.0003247833003476569 ], [ 0.0004873707015373907, 0.0032813423137828027, -0.010789259401888414, -0.056301547219343426, 0.10277874345127985, 0.003696147898128544, -0.008460108070396967, -0.0014617015178112398, 0.00027021247342057985 ], [ -0.00008796571976539408, 0.001115328993720302, 0.011084894932559309, 0.014058523631610824, -0.006530575434361367, 0.005404937120646264, -0.0038678644376039907, 0.0008430279023776321, -0.0001500591940253035 ], [ 0.00004295157330481871, 0.000060894393063557183, 0.0007708975437492805, -0.00002776782515845424, -0.0005617488003002141, 0.00009081454804161502, -0.0006065709741287522, 0.0005443167412722956, -0.00007789622481681364 ], [ 0.00008388277194676028, 0.000042248367429486406, -0.0009978220159049017, -0.000390087351600895, 0.00010217079924078505, 0.00016569427776650346, 0.00009002371761018585, 0.00004968184538490497, -0.000026299583542097175 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.032411286456623695, 0.002562414760830267, 0.00037143022172956517, 0.00012662986616653223 ], [ 0.0004511647087316801, 0.002571391618465806, -0.0027365673036124894, -0.06995164599750567, -0.1622300022666191, 0.028502306482040683, 0.0012269552691966498, 0.0001415996328485154, 0.000026113685354076332 ], [ -0.00002718785471679993, 0.0014120962317740733, 0.01138020046963071, 0.017841755231546838, -0.04566028360580251, 0.014943938871591575, -0.0013070156537490591, 0.00012420704840197252, 0.00008079871385665977 ], [ -0.00011836108586700349, -0.0003796909770459194, 0.00030953657632972723, 0.006527499363637553, -0.007525445727457278, 0.0031932223106732227, -0.0015673950369792626, -0.0001930569462115375, 0.00007659275943548743 ], [ 0.00003043838077225903, 0.00004398711764269731, -0.0008734113369257091, -0.0012254562672149374, 0.0007385609203147231, -0.00007003447740508764, -0.00029508698684157174, -0.00003973151472172835, 0.00005452588100222705 ] ]

DYtUhfpVA7ULdAmAZMwQCzv

{"aspect_ratio": 11.479438084768358, "major_radius": 1.0, "max_elongation": 6.370368231072561, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.07718468083931321, 0.2676959523124299, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7359527576399405, 0.7359527613461468, 0.735952948583421, 0.7359546434265187, 0.7359622242718759, 0.735985546624114, 0.7360425415410728, 0.736161750740745, 0.7363846156891469, 0.7367673785219571, 0.7373824849848143, 0.7383194068881553, 0.7396848254859526, 0.7416021386364622, 0.7442102741681595, 0.7476618099392373, 0.7521204179092182, 0.7577576653251732, 0.7647492210004302, 0.7732705287324059, 0.7834920232440048, 0.7955739766957679, 0.8096610758436611, 0.8258768413370253, 0.8443180114782121, 0.8650490230046173, 0.8880967310995539, 0.9134455198741362, 0.9410329629595169, 0.9707462015650423, 1.0024192143340382, 1.0358311594850498, 1.070705974955711, 1.1067134264269036, 1.1434717960065595, 1.1805524057393486, 1.217486169630655, 1.2537723650448083, 1.2888898084693494, 1.3223106107284772, 1.3535166712843902, 1.3820190479755352, 1.407380303696947, 1.4292398788914251, 1.4473424571952247, 1.4615691600302256, 1.4719711804367828, 1.4788050447132326, 1.4825677931065218, 1.4840280206810412, 1.4842392026112852], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7724053491351508}

11.479438

1

6.370368

[ [ 0.7359527576399405, 0.7359527613461468, 0.735952948583421, 0.7359546434265187, 0.7359622242718759, 0.735985546624114, 0.7360425415410728, 0.736161750740745, 0.7363846156891469, 0.7367673785219571, 0.7373824849848143, 0.7383194068881553, 0.7396848254859526, 0.7416021386364622, 0.7442102741681595, 0.7476618099392373, 0.7521204179092182, 0.7577576653251732, 0.7647492210004302, 0.7732705287324059, 0.7834920232440048, 0.7955739766957679, 0.8096610758436611, 0.8258768413370253, 0.8443180114782121, 0.8650490230046173, 0.8880967310995539, 0.9134455198741362, 0.9410329629595169, 0.9707462015650423, 1.0024192143340382, 1.0358311594850498, 1.070705974955711, 1.1067134264269036, 1.1434717960065595, 1.1805524057393486, 1.217486169630655, 1.2537723650448083, 1.2888898084693494, 1.3223106107284772, 1.3535166712843902, 1.3820190479755352, 1.407380303696947, 1.4292398788914251, 1.4473424571952247, 1.4615691600302256, 1.4719711804367828, 1.4788050447132326, 1.4825677931065218, 1.4840280206810412, 1.4842392026112852 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.07718468083931321, 0.2676959523124299, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.772405

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DZ59Upm9qyRYaRQKZc7eFcV

null

false

null

false

DMhUptFAhqKeLSfcR4Ptp9r

D8PGpunBeALQDqknUwrFb5r

{"qi": 0.0072915931789728295, "vacuum_well": -0.027286301368200577, "aspect_ratio": 9.86775044902151, "max_elongation": 3.8826017684918055, "average_triangularity": -0.1782559343229719, "axis_magnetic_mirror_ratio": 0.26463627588633154, "edge_magnetic_mirror_ratio": 0.3065070855448376, "aspect_ratio_over_edge_rotational_transform": 90.24269070541685, "flux_compression_in_regions_of_bad_curvature": 0.6330686066628193, "axis_rotational_transform_over_n_field_periods": 0.12356459536443251, "edge_rotational_transform_over_n_field_periods": 0.10934681104792453, "minimum_normalized_magnetic_gradient_scale_length": 3.9609816176988026}

9.86775

90.242691

-0.197603

0.264636

0.123565

0.306507

0.109347

0.633069

3.882602

3.960982

0.007292

-0.027286

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0027524222232456416,-0.2035967642778934,0.0006034776781870932,0.007368206178210886],[-0.0005289442938486314,-0.004741256085926554,0.0262418970304737,-0.013863504777024407,0.09164133201141449,-0.014216637170903176,0.008515345066030985,-0.00380849344583302,0.0005499625879451997],[7.454748836799996e-6,0.0006326398805064171,-0.0005109690567645573,0.0007047016553996323,-0.002691655200708406,-0.0022934815584877105,0.0008356677366917859,-0.0008315245697488739,0.00014880400221251407],[0.000011111808119365,-0.0001607102389506211,-0.0004076826493480883,-0.00035141062486863044,-0.005622405604744691,0.0010297483528607222,-0.00026001661571280833,0.0004596513515139118,-0.0003955751723553093],[0.00006728267701203966,0.00015321588180810348,0.00009264184114939709,0.00023132352273400172,0.00012895247683782952,0.0003410620820345598,0.0001063616364318522,0.0001359109741734402,-0.000022789369424254437]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.0006205058704662376,0.009257676636036487,-0.003218673013989976,-0.0010758049123641093],[-0.002303565105604101,-0.007314525262227716,0.043995538967381204,-0.0006733362178749654,-0.12582119443976716,0.0007995467778504083,0.012870626910063937,0.005047119706325235,-0.0008340803260595088],[-0.0013154146314319857,0.002057491827830614,-0.0010485506629772253,-0.00027334219390810045,-0.003764642417097049,0.0009828782489889067,-0.004456319099192396,0.0004944172064909769,0.0010077493907444278],[-0.0003322731895805228,-0.00026331024729870625,0.001029495088123522,0.0020819823407616967,0.0139128671635314,-0.000521046104701834,-0.006840356480140062,-0.0005099309504078417,0.0008915437817614792],[0.0001839817197591622,0.0000500880689241975,-0.00018941462147333503,0.0001603092025599354,0.0008433317464302211,0.0001946676691092467,-0.0006778515949872627,0.00009980880359130108,-0.00006542888720030272]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.0027524222232456416, -0.2035967642778934, 0.0006034776781870932, 0.007368206178210886 ], [ -0.0005289442938486314, -0.004741256085926554, 0.0262418970304737, -0.013863504777024407, 0.09164133201141449, -0.014216637170903176, 0.008515345066030985, -0.00380849344583302, 0.0005499625879451997 ], [ 0.000007454748836799996, 0.0006326398805064171, -0.0005109690567645573, 0.0007047016553996323, -0.002691655200708406, -0.0022934815584877105, 0.0008356677366917859, -0.0008315245697488739, 0.00014880400221251407 ], [ 0.000011111808119365, -0.0001607102389506211, -0.0004076826493480883, -0.00035141062486863044, -0.005622405604744691, 0.0010297483528607222, -0.00026001661571280833, 0.0004596513515139118, -0.0003955751723553093 ], [ 0.00006728267701203966, 0.00015321588180810348, 0.00009264184114939709, 0.00023132352273400172, 0.00012895247683782952, 0.0003410620820345598, 0.0001063616364318522, 0.0001359109741734402, -0.000022789369424254437 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.0006205058704662376, 0.009257676636036487, -0.003218673013989976, -0.0010758049123641093 ], [ -0.002303565105604101, -0.007314525262227716, 0.043995538967381204, -0.0006733362178749654, -0.12582119443976716, 0.0007995467778504083, 0.012870626910063937, 0.005047119706325235, -0.0008340803260595088 ], [ -0.0013154146314319857, 0.002057491827830614, -0.0010485506629772253, -0.00027334219390810045, -0.003764642417097049, 0.0009828782489889067, -0.004456319099192396, 0.0004944172064909769, 0.0010077493907444278 ], [ -0.0003322731895805228, -0.00026331024729870625, 0.001029495088123522, 0.0020819823407616967, 0.0139128671635314, -0.000521046104701834, -0.006840356480140062, -0.0005099309504078417, 0.0008915437817614792 ], [ 0.0001839817197591622, 0.0000500880689241975, -0.00018941462147333503, 0.0001603092025599354, 0.0008433317464302211, 0.0001946676691092467, -0.0006778515949872627, 0.00009980880359130108, -0.00006542888720030272 ] ]

DQnHF6PqT8FJzf392dJgWxz

{"aspect_ratio": 10.593194059802151, "major_radius": 1.0, "max_elongation": 5.617524326276298, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.19866300418767532, 0.09366397989108106, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 1, "poloidal_winding": 0, "torodial_winding": 1, "modB_spline_knot_coefficients": [[0.8254412416067108, 0.8254412464953579, 0.8254414297862692, 0.8254428193925503, 0.8254483280084305, 0.8254638451825501, 0.8254992980881422, 0.8255696345204842, 0.8256956972293151, 0.8259049670230635, 0.8262321573407836, 0.8267196466596746, 0.8274177378585537, 0.8283847358368154, 0.829686836492497, 0.8313978217147333, 0.8335985564261308, 0.8363762849762069, 0.8398237253802985, 0.8440379610526937, 0.8491191308264744, 0.8551689192113173, 0.8622888500391275, 0.8705783879115578, 0.8801328532212724, 0.8910411580022903, 0.9033833715120114, 0.9172281263050934, 0.9326298776855373, 0.9496260318926599, 0.9682339612861537, 0.9884479282736982, 1.0102359439448476, 1.0335365925746105, 1.0582558596708234, 1.0842640095329765, 1.1113925690528073, 1.1394314887401562, 1.1681265712620499, 1.1971772845948458, 1.2262351152055588, 1.2549026732598123, 1.2827338486618909, 1.3092354560889667, 1.3338710435041299, 1.3560679675903302, 1.375229689037227, 1.3907571312497682, 1.4020879216498803, 1.408779529608983, 1.410776737531879], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.11038143761509936}

10.593194

1

5.617524

[ [ 0.8254412416067108, 0.8254412464953579, 0.8254414297862692, 0.8254428193925503, 0.8254483280084305, 0.8254638451825501, 0.8254992980881422, 0.8255696345204842, 0.8256956972293151, 0.8259049670230635, 0.8262321573407836, 0.8267196466596746, 0.8274177378585537, 0.8283847358368154, 0.829686836492497, 0.8313978217147333, 0.8335985564261308, 0.8363762849762069, 0.8398237253802985, 0.8440379610526937, 0.8491191308264744, 0.8551689192113173, 0.8622888500391275, 0.8705783879115578, 0.8801328532212724, 0.8910411580022903, 0.9033833715120114, 0.9172281263050934, 0.9326298776855373, 0.9496260318926599, 0.9682339612861537, 0.9884479282736982, 1.0102359439448476, 1.0335365925746105, 1.0582558596708234, 1.0842640095329765, 1.1113925690528073, 1.1394314887401562, 1.1681265712620499, 1.1971772845948458, 1.2262351152055588, 1.2549026732598123, 1.2827338486618909, 1.3092354560889667, 1.3338710435041299, 1.3560679675903302, 1.375229689037227, 1.3907571312497682, 1.4020879216498803, 1.408779529608983, 1.410776737531879 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

1

0

1

[ [ [ 0, 0, 0, 0, 0 ], [ -0.19866300418767532, 0.09366397989108106, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.110381

D63nvnkpVmcMUM3YTHJmoTJ

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"torsion": 0.0, "elongation": 3.0, "aspect_ratio": 10.0, "major_radius": 1.0, "mirror_ratio": 0.2, "n_field_periods": 1, "is_iota_positive": false, "is_stellarator_symmetric": true}}

true

4

0.03

10

3

false

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D8PgyLh98BgwuYWAANapCrY

null

false

null

false

DK2VtexjMiBDnKZ83ygsiDR

DKvwyTru5Ew4wujBmApD6fc

{"qi": 0.026252405551618556, "vacuum_well": -0.10382961735500798, "aspect_ratio": 10.282739012744775, "max_elongation": 4.2400633299417745, "average_triangularity": -0.21236002654977368, "axis_magnetic_mirror_ratio": 0.09321338033897825, "edge_magnetic_mirror_ratio": 0.1597782133052974, "aspect_ratio_over_edge_rotational_transform": 13.552723045110037, "flux_compression_in_regions_of_bad_curvature": 1.438294049197383, "axis_rotational_transform_over_n_field_periods": 0.22694912167477221, "edge_rotational_transform_over_n_field_periods": 0.1896803132942146, "minimum_normalized_magnetic_gradient_scale_length": 8.315095951191354}

10.282739

13.552723

-0.194366

0.093213

0.226949

0.159778

0.18968

1.438294

4.240063

8.315096

0.026252

-0.10383

{"r_cos":[[0.0,0.0,0.0,0.0,0.9938745312506074,-0.04267037357533452,-0.0012693641695282263,-0.0009471106337234671,-0.0001001194234850648],[-0.000041280001465245986,-0.0023404555903641243,0.012320089777295136,-0.011547576917768986,-0.10116660587611716,-0.03287082185907933,-0.006693615268002924,-0.00006867702347540701,0.00010442336553335573],[-0.0003435172857533924,0.00025708162365031817,0.007845199754112103,-0.015085285730873043,-0.0060200671433710785,-0.0018965595204460351,-0.00029789828637756316,0.0003847772307396923,0.00008041533334854302],[-0.00011083504288088139,0.0006369190553425333,-0.0008220839293138699,0.00004006869185275644,-0.0009910665898366007,-0.001004552676980883,-0.0007236463745948572,-0.00046241022840319654,-0.00011621640751093445],[-0.00010323236925822768,0.00039310447502558595,-0.000328152252880559,-0.0003988772572938465,-0.00017197214935578279,0.00001799030728767432,0.00003689453949677412,0.000014230716996402196,0.00001333126025608287]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.031211514107930518,0.0009300986382475897,0.0003344471247610243,0.0007883938474965474],[-0.0005502811082843415,-0.0008060256199118346,0.025891290581386516,-0.11403580032304259,0.09678583617955132,0.044650420251052,0.01365692125771346,0.0020453068597547073,0.00001586016979494739],[-0.00042672798908892454,0.0020442356094438896,-0.0026036256870755883,0.00627756611472765,-0.015910595874369212,-0.014184524437461432,-0.005654985379535438,-0.0019162437767805153,-0.0003851311656638138],[-0.0000337905638179756,0.0006933790983713998,-0.002070845275368126,0.0013978530094515835,0.005116535280220737,0.003826011642487008,0.0016945957708057152,0.0007456186880914904,0.00020208885797829557],[0.00019938819857407883,-0.0004273519929232422,-0.0001491787387807453,0.000811806222846165,0.00021046645149824512,-0.0003366540595983093,-0.000412465487153644,-0.0002487120971950107,-0.00011105046963645919]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9938745312506074, -0.04267037357533452, -0.0012693641695282263, -0.0009471106337234671, -0.0001001194234850648 ], [ -0.000041280001465245986, -0.0023404555903641243, 0.012320089777295136, -0.011547576917768986, -0.10116660587611716, -0.03287082185907933, -0.006693615268002924, -0.00006867702347540701, 0.00010442336553335573 ], [ -0.0003435172857533924, 0.00025708162365031817, 0.007845199754112103, -0.015085285730873043, -0.0060200671433710785, -0.0018965595204460351, -0.00029789828637756316, 0.0003847772307396923, 0.00008041533334854302 ], [ -0.00011083504288088139, 0.0006369190553425333, -0.0008220839293138699, 0.00004006869185275644, -0.0009910665898366007, -0.001004552676980883, -0.0007236463745948572, -0.00046241022840319654, -0.00011621640751093445 ], [ -0.00010323236925822768, 0.00039310447502558595, -0.000328152252880559, -0.0003988772572938465, -0.00017197214935578279, 0.00001799030728767432, 0.00003689453949677412, 0.000014230716996402196, 0.00001333126025608287 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.031211514107930518, 0.0009300986382475897, 0.0003344471247610243, 0.0007883938474965474 ], [ -0.0005502811082843415, -0.0008060256199118346, 0.025891290581386516, -0.11403580032304259, 0.09678583617955132, 0.044650420251052, 0.01365692125771346, 0.0020453068597547073, 0.00001586016979494739 ], [ -0.00042672798908892454, 0.0020442356094438896, -0.0026036256870755883, 0.00627756611472765, -0.015910595874369212, -0.014184524437461432, -0.005654985379535438, -0.0019162437767805153, -0.0003851311656638138 ], [ -0.0000337905638179756, 0.0006933790983713998, -0.002070845275368126, 0.0013978530094515835, 0.005116535280220737, 0.003826011642487008, 0.0016945957708057152, 0.0007456186880914904, 0.00020208885797829557 ], [ 0.00019938819857407883, -0.0004273519929232422, -0.0001491787387807453, 0.000811806222846165, 0.00021046645149824512, -0.0003366540595983093, -0.000412465487153644, -0.0002487120971950107, -0.00011105046963645919 ] ]

D2CjUtt2gwDFf2RNxNT67Gf

{"aspect_ratio": 11.928716735050578, "major_radius": 1.0, "max_elongation": 4.084768394754084, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.104975542997719, -0.2525781864147223, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 4, "poloidal_winding": 0, "torodial_winding": 4, "modB_spline_knot_coefficients": [[0.9055473356698266, 0.9055473376110831, 0.9055474497590079, 0.9055485401053864, 0.9055536274520607, 0.905569677505551, 0.9056094563968291, 0.9056931771025422, 0.9058497458010489, 0.906117477245797, 0.9065442022586061, 0.9071867372459058, 0.9081097257664452, 0.9093838960463594, 0.9110838062949325, 0.9132851720305941, 0.9160618866669478, 0.9194828586046873, 0.9236087952915686, 0.9284890674108645, 0.9341587848011812, 0.9406362101627048, 0.947920627338097, 0.9559907682495034, 0.9648038867157505, 0.9742955486674936, 0.9843801870395869, 0.9949524461838958, 1.0058893153680262, 1.0170530241871343, 1.0282946449283248, 1.0394583185374375, 1.0503859923372094, 1.0609225295779994, 1.0709210238773508, 1.0802481263146075, 1.0887891701879957, 1.096452859145196, 1.1031752696734276, 1.1089229101299307, 1.1136945772884508, 1.1175217599242069, 1.1204673601082544, 1.1226225405527435, 1.124101566190646, 1.1250345987958212, 1.1255585389148832, 1.125806214809296, 1.1258945441034336, 1.1259128621046768, 1.125913821518693], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8896142784240744}

11.928717

1

4.084768

[ [ 0.9055473356698266, 0.9055473376110831, 0.9055474497590079, 0.9055485401053864, 0.9055536274520607, 0.905569677505551, 0.9056094563968291, 0.9056931771025422, 0.9058497458010489, 0.906117477245797, 0.9065442022586061, 0.9071867372459058, 0.9081097257664452, 0.9093838960463594, 0.9110838062949325, 0.9132851720305941, 0.9160618866669478, 0.9194828586046873, 0.9236087952915686, 0.9284890674108645, 0.9341587848011812, 0.9406362101627048, 0.947920627338097, 0.9559907682495034, 0.9648038867157505, 0.9742955486674936, 0.9843801870395869, 0.9949524461838958, 1.0058893153680262, 1.0170530241871343, 1.0282946449283248, 1.0394583185374375, 1.0503859923372094, 1.0609225295779994, 1.0709210238773508, 1.0802481263146075, 1.0887891701879957, 1.096452859145196, 1.1031752696734276, 1.1089229101299307, 1.1136945772884508, 1.1175217599242069, 1.1204673601082544, 1.1226225405527435, 1.124101566190646, 1.1250345987958212, 1.1255585389148832, 1.125806214809296, 1.1258945441034336, 1.1259128621046768, 1.125913821518693 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

4

0

4

[ [ [ 0, 0, 0, 0, 0 ], [ 0.104975542997719, -0.2525781864147223, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.889614

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

DKWBomkQNqfYQoC8ThSXAT4

null

false

null

false

DEkEAunMwucgtuuUkRNeBMS

DGhtPG8Y2jDmAW8t495VAAP

{"qi": 0.0070222302901838205, "vacuum_well": -0.1296951345216494, "aspect_ratio": 9.895707922521515, "max_elongation": 6.481401723383979, "average_triangularity": -0.31688555777283695, "axis_magnetic_mirror_ratio": 0.29653872851100505, "edge_magnetic_mirror_ratio": 0.31585007440301044, "aspect_ratio_over_edge_rotational_transform": 16.764401689045233, "flux_compression_in_regions_of_bad_curvature": 1.4231890248859096, "axis_rotational_transform_over_n_field_periods": 0.14291501781260366, "edge_rotational_transform_over_n_field_periods": 0.11805620154029006, "minimum_normalized_magnetic_gradient_scale_length": 8.33877952406661}

9.895708

16.764402

-0.570585

0.296539

0.142915

0.31585

0.118056

1.423189

6.481402

8.33878

0.007022

-0.129695

{"r_cos":[[0.0,0.0,0.0,0.0,0.9968051909275384,0.01856038492337662,-0.007607347081621592,0.0010503619232361764,0.00033457559299893743],[-0.0005398143793045802,-0.00016384403296013865,-0.008813345980397857,-0.05155643466760356,0.09865191261925103,0.004637285737693793,-0.00692237283588194,-0.0003310323999116374,0.0005891765887764268],[-0.0003647785223458948,-0.0010348455728496657,0.004738715242644231,0.006922677622859428,-0.011728461365168346,0.0042006038894283355,-0.004884027424217682,0.00205641468575855,-0.00013194416580954388],[-0.00004013311906343507,0.00037397746287777235,0.0009307169178792889,-0.00057657202334892,0.0005309628319675559,-0.0006615950998752934,-0.00030710198831491775,0.0006102162210582781,-0.00011959858620604244],[0.00012849966660417807,0.00037710411260839,-0.0005805800238394663,-0.00044322879436254486,0.00025699144001796464,-0.00015161267889005764,0.0001389591983047187,0.000030503554465053056,-0.00002925309325576052]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.02431579500697712,0.009452984088807237,-0.0006061853720232455,-0.00031107408763365006],[-0.00032038225634641515,0.00025569136316597245,-0.0012038836433842692,-0.07358566002640787,-0.15997787627294371,0.035747279163832774,-0.002220504550610598,-0.0003942783543731129,-0.00004057669607465027],[0.00003210550371397399,0.0005548147093351779,0.006868883943617805,0.019883368898031002,-0.041852201332706375,0.011928588447270058,-0.0024244931871995785,-0.000247997186016334,0.00015075750107784085],[-0.0002424974810180307,-0.001121225661697914,-0.00027943450952125663,0.005861559732128522,-0.0053679217142833325,0.0028437348883783896,-0.000897642510412743,-0.0000649214652224567,0.000019127561387811883],[-0.00008527624483397307,-0.00047405713582555475,-0.0011300105480329444,-0.0003877263070879694,0.00017348727243840712,-0.00011752502709892933,0.0001275472171212485,-0.00011444364097669424,0.000016505058837037556]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9968051909275384, 0.01856038492337662, -0.007607347081621592, 0.0010503619232361764, 0.00033457559299893743 ], [ -0.0005398143793045802, -0.00016384403296013865, -0.008813345980397857, -0.05155643466760356, 0.09865191261925103, 0.004637285737693793, -0.00692237283588194, -0.0003310323999116374, 0.0005891765887764268 ], [ -0.0003647785223458948, -0.0010348455728496657, 0.004738715242644231, 0.006922677622859428, -0.011728461365168346, 0.0042006038894283355, -0.004884027424217682, 0.00205641468575855, -0.00013194416580954388 ], [ -0.00004013311906343507, 0.00037397746287777235, 0.0009307169178792889, -0.00057657202334892, 0.0005309628319675559, -0.0006615950998752934, -0.00030710198831491775, 0.0006102162210582781, -0.00011959858620604244 ], [ 0.00012849966660417807, 0.00037710411260839, -0.0005805800238394663, -0.00044322879436254486, 0.00025699144001796464, -0.00015161267889005764, 0.0001389591983047187, 0.000030503554465053056, -0.00002925309325576052 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.02431579500697712, 0.009452984088807237, -0.0006061853720232455, -0.00031107408763365006 ], [ -0.00032038225634641515, 0.00025569136316597245, -0.0012038836433842692, -0.07358566002640787, -0.15997787627294371, 0.035747279163832774, -0.002220504550610598, -0.0003942783543731129, -0.00004057669607465027 ], [ 0.00003210550371397399, 0.0005548147093351779, 0.006868883943617805, 0.019883368898031002, -0.041852201332706375, 0.011928588447270058, -0.0024244931871995785, -0.000247997186016334, 0.00015075750107784085 ], [ -0.0002424974810180307, -0.001121225661697914, -0.00027943450952125663, 0.005861559732128522, -0.0053679217142833325, 0.0028437348883783896, -0.000897642510412743, -0.0000649214652224567, 0.000019127561387811883 ], [ -0.00008527624483397307, -0.00047405713582555475, -0.0011300105480329444, -0.0003877263070879694, 0.00017348727243840712, -0.00011752502709892933, 0.0001275472171212485, -0.00011444364097669424, 0.000016505058837037556 ] ]

D3gP9RRKb3HMCtushrfvQgq

{"aspect_ratio": 10.145446252726014, "major_radius": 1.0, "max_elongation": 5.643262026351573, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.43840335710281286, -0.04150852733051148, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7850286287738728, 0.7850286599011225, 0.78502963948371, 0.7850362508031693, 0.7850602341901038, 0.7851230328567227, 0.785257714350945, 0.7855101812182554, 0.7859397044256407, 0.7866188233127513, 0.7876326620191582, 0.7890777164458523, 0.7910601687008653, 0.7936937880882458, 0.7970974792705778, 0.8013925394144319, 0.8066996870085702, 0.8131359256874596, 0.8208113068388444, 0.8298256550517766, 0.840265320589463, 0.8522000230617759, 0.865679850332339, 0.8807324764275711, 0.8973606618190169, 0.9155400989211996, 0.9352176649769299, 0.9563101436782809, 0.9787034758774406, 1.0022525985549011, 1.0267819298033858, 1.0520865559159613, 1.077934174685316, 1.1040678466615037, 1.13020960328858, 1.1560649574263535, 1.1813283575969877, 1.2056896221466686, 1.2288413830500096, 1.250487560825585, 1.2703528812448335, 1.2881934300642521, 1.3038082220434446, 1.3170517318865143, 1.3278472918138204, 1.3362011923658121, 1.3422172069492313, 1.3461110429057987, 1.3482237545333111, 1.3490319136914195, 1.349147229020213], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7729800875259583}

10.145446

1

5.643262

[ [ 0.7850286287738728, 0.7850286599011225, 0.78502963948371, 0.7850362508031693, 0.7850602341901038, 0.7851230328567227, 0.785257714350945, 0.7855101812182554, 0.7859397044256407, 0.7866188233127513, 0.7876326620191582, 0.7890777164458523, 0.7910601687008653, 0.7936937880882458, 0.7970974792705778, 0.8013925394144319, 0.8066996870085702, 0.8131359256874596, 0.8208113068388444, 0.8298256550517766, 0.840265320589463, 0.8522000230617759, 0.865679850332339, 0.8807324764275711, 0.8973606618190169, 0.9155400989211996, 0.9352176649769299, 0.9563101436782809, 0.9787034758774406, 1.0022525985549011, 1.0267819298033858, 1.0520865559159613, 1.077934174685316, 1.1040678466615037, 1.13020960328858, 1.1560649574263535, 1.1813283575969877, 1.2056896221466686, 1.2288413830500096, 1.250487560825585, 1.2703528812448335, 1.2881934300642521, 1.3038082220434446, 1.3170517318865143, 1.3278472918138204, 1.3362011923658121, 1.3422172069492313, 1.3461110429057987, 1.3482237545333111, 1.3490319136914195, 1.349147229020213 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ]

5

0

5

[ [ [ 0, 0, 0, 0, 0 ], [ 0.43840335710281286, -0.04150852733051148, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.77298

DTw7v55fqcKAiYkhMQvFEQ2

{"objective_settings": {"elongation_settings": {"name": "elongation", "weight": 1.0, "target_kind": "upper_bound"}, "omnigenity_settings": {"name": "omnigenity", "weight": 1.0, "eta_weight": 1.0, "eq_lcfs_grid_rho": 1.0, "eq_lcfs_grid_M_factor": 4, "eq_lcfs_grid_N_factor": 4}, "aspect_ratio_settings": {"name": "aspect_ratio", "weight": 2.0, "target_kind": "upper_bound"}, "rotational_transform_settings": {"name": "rotational_transform", "weight": 5.0, "target_kind": "target"}}, "optimizer_settings": {"name": "lsq-auglag", "maxiter": 200, "verbose": 3}, "equilibrium_settings": {"psi": 0.03, "check_orientation": true, "max_poloidal_mode": 4, "max_toroidal_mode": 4}, "initial_guess_settings": {"aspect_ratio": 10.0, "mirror_ratio": 0.2, "max_elongation": 7.0, "n_field_periods": 1, "max_poloidal_mode": 2, "max_toroidal_mode": 3, "rotational_transform": 0.5}}

true

4

0.03

10

null

7

2

3

0.2

1

0.5

null

aspect_ratio

upper_bound

2

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

5

200

lsq-auglag

3

null

D6hufngiwpcM7ZpVraLdEmn

null

false

null

false

DNjvLcw2gPo8yw3t9WDuDc2