proxima-fusion/constellaration · Datasets at Hugging Face

D7hDrqSf8GQULcENteFng6D

{"qi": 0.022201286366587962, "vacuum_well": -0.06359479578097352, "aspect_ratio": 9.548239882006461, "max_elongation": 4.421971298677182, "average_triangularity": 0.006483303266005866, "axis_magnetic_mirror_ratio": 0.12713944314312098, "edge_magnetic_mirror_ratio": 0.16245089660203046, "aspect_ratio_over_edge_rotational_transform": 12.559391964743355, "flux_compression_in_regions_of_bad_curvature": 1.1216761310556997, "axis_rotational_transform_over_n_field_periods": 0.211135283028569, "edge_rotational_transform_over_n_field_periods": 0.19006174639684428, "minimum_normalized_magnetic_gradient_scale_length": 5.360295309688306}

9.54824

12.559392

-0.068989

0.127139

0.211135

0.162451

0.190062

1.121676

4.421971

5.360295

0.022201

-0.063595

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.006447871724993722,-0.027221674062553453,-0.001659473125876814,0.00023585025108422214],[0.0007441928331305997,0.0027273631496907177,-0.0010958852362180516,-0.07268519002624763,0.10165518608002617,0.02312892518562381,0.0014801648992292943,0.0014196800034636712,0.0000593366949856136],[0.0003670795837353109,-0.0033504799176307092,-0.008743644438860082,0.04550225693325792,-0.008192857009656045,-0.0059169324937038414,-0.0014200114723165523,0.0006456187675190816,0.00005923868156549494],[-0.00012071757894525132,0.0006309379363871163,0.00781457087208422,-0.00647474284732759,-0.0035254856735650393,-0.0002835865222058421,0.00020834918267919906,-0.00011607734415092311,1.996226979923517e-6],[0.00024564661557407774,0.00048768019021085986,-0.0015055235640286662,-0.00009662114243283535,0.0010429508887464759,-0.0001716222338262229,0.00018624452847505193,-0.00003424842190069826,5.690994678077041e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.060906029877839434,0.013271937504236019,-0.00014582398756667365,0.0006060382325586735],[0.0006152203238356386,0.0023647754015859506,0.010095380703451394,-0.04558460654236515,-0.12445598396144322,0.0047971564566460755,-0.0055124030916093615,-0.0012190604150828744,-0.00004171040295309746],[0.00023271397557883208,0.0013383997095697262,-0.013419589986717231,-0.012597061964892232,0.013690418036700945,0.004252007050161318,0.00009731661932710963,-0.0005948926726105448,0.00006606593948989453],[0.0003063820586888187,0.00014724112524263662,-0.0006997358348867428,-0.0036649262308518877,0.0023995682548636063,0.001021087231003486,-0.00016761771629202944,-0.000026725784114087874,-0.00004459598441109691],[0.00006047477259021655,-0.00010677783752122747,-0.0003939921598577565,0.0006121828355432997,-0.00025056012486077687,1.6676297459161768e-6,-0.00020294258142208703,0.00004897068537131401,6.281190014946499e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.006447871724993722, -0.027221674062553453, -0.001659473125876814, 0.00023585025108422214 ], [ 0.0007441928331305997, 0.0027273631496907177, -0.0010958852362180516, -0.07268519002624763, 0.10165518608002617, 0.02312892518562381, 0.0014801648992292943, 0.0014196800034636712, 0.0000593366949856136 ], [ 0.0003670795837353109, -0.0033504799176307092, -0.008743644438860082, 0.04550225693325792, -0.008192857009656045, -0.0059169324937038414, -0.0014200114723165523, 0.0006456187675190816, 0.00005923868156549494 ], [ -0.00012071757894525132, 0.0006309379363871163, 0.00781457087208422, -0.00647474284732759, -0.0035254856735650393, -0.0002835865222058421, 0.00020834918267919906, -0.00011607734415092311, 0.000001996226979923517 ], [ 0.00024564661557407774, 0.00048768019021085986, -0.0015055235640286662, -0.00009662114243283535, 0.0010429508887464759, -0.0001716222338262229, 0.00018624452847505193, -0.00003424842190069826, 0.000005690994678077041 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.060906029877839434, 0.013271937504236019, -0.00014582398756667365, 0.0006060382325586735 ], [ 0.0006152203238356386, 0.0023647754015859506, 0.010095380703451394, -0.04558460654236515, -0.12445598396144322, 0.0047971564566460755, -0.0055124030916093615, -0.0012190604150828744, -0.00004171040295309746 ], [ 0.00023271397557883208, 0.0013383997095697262, -0.013419589986717231, -0.012597061964892232, 0.013690418036700945, 0.004252007050161318, 0.00009731661932710963, -0.0005948926726105448, 0.00006606593948989453 ], [ 0.0003063820586888187, 0.00014724112524263662, -0.0006997358348867428, -0.0036649262308518877, 0.0023995682548636063, 0.001021087231003486, -0.00016761771629202944, -0.000026725784114087874, -0.00004459598441109691 ], [ 0.00006047477259021655, -0.00010677783752122747, -0.0003939921598577565, 0.0006121828355432997, -0.00025056012486077687, 0.0000016676297459161768, -0.00020294258142208703, 0.00004897068537131401, 0.000006281190014946499 ] ]

Di7E6PepStPpwvKJgnR5hr7

{"aspect_ratio": 9.044507118621777, "major_radius": 1.0, "max_elongation": 4.1265257914907, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.04993845765554477, 0.5089264182554042, 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": [[0.8933875901818986, 0.893387792453233, 0.8933920102207579, 0.8934138667459031, 0.8934792189597122, 0.8936260292936203, 0.8939030250612356, 0.8943676588926991, 0.895083667183034, 0.8961184264685176, 0.8975402526284963, 0.8994157522249306, 0.9018073101739993, 0.9047707790716697, 0.9083534206367719, 0.9125921376074001, 0.9175120242417066, 0.9231252548232386, 0.9294303219106116, 0.936411629261751, 0.9440394382316043, 0.9522701608617495, 0.9610469877545261, 0.970300834079159, 0.9799515826348966, 0.9899095987503257, 1.0000774878916527, 1.0103520631555287, 1.0206264863089771, 1.030792542689331, 1.0407430070733055, 1.0503740545516205, 1.0595876674912683, 1.0682939868207726, 1.0764135531251915, 1.0838793803790996, 1.090638802570219, 1.0966550309676757, 1.1019083573616377, 1.1063969362408004, 1.110137076576927, 1.113162971648279, 1.1155257931540024, 1.1172920737481293, 1.1185413000552118, 1.1193626362227687, 1.119850696126954, 1.120100280496676, 1.1201999935063727, 1.1202246519501053, 1.120226399534049], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8001039078891741}

9.044507

1

4.126526

[ [ 0.8933875901818986, 0.893387792453233, 0.8933920102207579, 0.8934138667459031, 0.8934792189597122, 0.8936260292936203, 0.8939030250612356, 0.8943676588926991, 0.895083667183034, 0.8961184264685176, 0.8975402526284963, 0.8994157522249306, 0.9018073101739993, 0.9047707790716697, 0.9083534206367719, 0.9125921376074001, 0.9175120242417066, 0.9231252548232386, 0.9294303219106116, 0.936411629261751, 0.9440394382316043, 0.9522701608617495, 0.9610469877545261, 0.970300834079159, 0.9799515826348966, 0.9899095987503257, 1.0000774878916527, 1.0103520631555287, 1.0206264863089771, 1.030792542689331, 1.0407430070733055, 1.0503740545516205, 1.0595876674912683, 1.0682939868207726, 1.0764135531251915, 1.0838793803790996, 1.090638802570219, 1.0966550309676757, 1.1019083573616377, 1.1063969362408004, 1.110137076576927, 1.113162971648279, 1.1155257931540024, 1.1172920737481293, 1.1185413000552118, 1.1193626362227687, 1.119850696126954, 1.120100280496676, 1.1201999935063727, 1.1202246519501053, 1.120226399534049 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.04993845765554477, 0.5089264182554042, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.800104

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

DRBUYiR7JySSTLiDQPjt8H9

null

false

null

false

D4uexMjQ8NAgTGJjMUyfFMY

DDhNeXkyPUETg8AevNpx4ka

{"qi": 0.012024823267767082, "vacuum_well": -0.052497249860188284, "aspect_ratio": 9.952464669704634, "max_elongation": 4.619758961932563, "average_triangularity": -0.2671099983616772, "axis_magnetic_mirror_ratio": 0.13777257210119537, "edge_magnetic_mirror_ratio": 0.19505048744256032, "aspect_ratio_over_edge_rotational_transform": 39.7952886586718, "flux_compression_in_regions_of_bad_curvature": 1.2098441559303004, "axis_rotational_transform_over_n_field_periods": 0.24141965099324098, "edge_rotational_transform_over_n_field_periods": 0.2500915310620794, "minimum_normalized_magnetic_gradient_scale_length": 3.834572240562357}

9.952465

39.795289

-0.414321

0.137773

0.24142

0.19505

0.250092

1.209844

4.619759

3.834572

0.012025

-0.052497

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.011811314904669423,-0.2211490900730675,0.004466811716183081,0.016883039481212406],[0.0054475429398613134,-0.021937894945662242,0.030793929411345053,-0.014974950325148655,0.08202350685750029,-0.02283335345603724,0.002483566774992339,-0.001009709878368974,-0.0021238971339826826],[-0.0007698207932642985,-0.00031013306064460846,-0.001793005273595149,-0.004122610987944054,-0.003744385237003654,-0.0006410305785562221,-0.0013343599471903624,-0.0017878974634538123,0.00011505224308654946],[0.00006191471164955556,0.0002414087987510916,-0.0009829871833614747,0.0011744989208859024,-0.0006127217996931401,0.0008682326514454738,0.0009573672502823246,4.300309410483762e-6,0.000219123056942362],[0.00015328892493612223,-0.00006721900685300339,0.00012422124411922856,0.0002514239386315145,-0.0009584260011196583,0.0002427470652198473,0.00013530026830603286,0.00006922614003753824,0.00007212694756586961]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03453777412320928,0.051987635154948864,-0.015245211342713543,-0.002816524431933547],[0.002131189707922048,-0.025830624285364052,0.05776316329076797,-0.007190955277890768,-0.1520745938133916,-0.004235672234266526,-0.012052017142158134,-0.002092989848483582,0.002472378699963787],[-0.00028983924671064666,0.002718749315982088,-0.0013921545169489622,0.009482998840235205,0.005261425105575716,-0.00502132415051946,-0.0040626781851325405,0.0012601665870489024,0.0001491989377030539],[0.00004691114761987727,0.0016636978914912246,-0.0009468750530840437,0.004223735892476825,0.010507455256695034,0.004704987632029892,0.0006273579100644355,0.00017035144676112084,-0.0003474588112695273],[0.00005858894037751348,-0.0015314521708885988,0.00008486638517734741,-0.0024672854113261195,0.002733639707742022,0.0011733232199742263,-0.00002121939980629823,-0.00022459889164998812,-0.0003107960011931884]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.011811314904669423, -0.2211490900730675, 0.004466811716183081, 0.016883039481212406 ], [ 0.0054475429398613134, -0.021937894945662242, 0.030793929411345053, -0.014974950325148655, 0.08202350685750029, -0.02283335345603724, 0.002483566774992339, -0.001009709878368974, -0.0021238971339826826 ], [ -0.0007698207932642985, -0.00031013306064460846, -0.001793005273595149, -0.004122610987944054, -0.003744385237003654, -0.0006410305785562221, -0.0013343599471903624, -0.0017878974634538123, 0.00011505224308654946 ], [ 0.00006191471164955556, 0.0002414087987510916, -0.0009829871833614747, 0.0011744989208859024, -0.0006127217996931401, 0.0008682326514454738, 0.0009573672502823246, 0.000004300309410483762, 0.000219123056942362 ], [ 0.00015328892493612223, -0.00006721900685300339, 0.00012422124411922856, 0.0002514239386315145, -0.0009584260011196583, 0.0002427470652198473, 0.00013530026830603286, 0.00006922614003753824, 0.00007212694756586961 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03453777412320928, 0.051987635154948864, -0.015245211342713543, -0.002816524431933547 ], [ 0.002131189707922048, -0.025830624285364052, 0.05776316329076797, -0.007190955277890768, -0.1520745938133916, -0.004235672234266526, -0.012052017142158134, -0.002092989848483582, 0.002472378699963787 ], [ -0.00028983924671064666, 0.002718749315982088, -0.0013921545169489622, 0.009482998840235205, 0.005261425105575716, -0.00502132415051946, -0.0040626781851325405, 0.0012601665870489024, 0.0001491989377030539 ], [ 0.00004691114761987727, 0.0016636978914912246, -0.0009468750530840437, 0.004223735892476825, 0.010507455256695034, 0.004704987632029892, 0.0006273579100644355, 0.00017035144676112084, -0.0003474588112695273 ], [ 0.00005858894037751348, -0.0015314521708885988, 0.00008486638517734741, -0.0024672854113261195, 0.002733639707742022, 0.0011733232199742263, -0.00002121939980629823, -0.00022459889164998812, -0.0003107960011931884 ] ]

D3rkSNvZhZZGwGjnDVX3VQq

{"aspect_ratio": 11.3116979573071, "major_radius": 1.0, "max_elongation": 4.368884813580409, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.06282337587344175, 0.38701098067794704, 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": [[0.8676661213264919, 0.8676661347530537, 0.8676667502105394, 0.8676719025836982, 0.8676933877864164, 0.8677552791239336, 0.8678972496591573, 0.8681763548768463, 0.8686671327801095, 0.8694600722837711, 0.8706586285216649, 0.8723750459185013, 0.8747252985000151, 0.8778234797833425, 0.8817759773475352, 0.8866757541443513, 0.8925970332195506, 0.8995906476264216, 0.9076802753465666, 0.9168597320834455, 0.9270914447034918, 0.938306176505069, 0.9504040238652209, 0.9632566534725088, 0.9767107015006519, 0.9905922118006617, 1.0047119504762554, 1.0188713999528347, 1.0328692076601445, 1.046507843443767, 1.0596002064380403, 1.0719759169260175, 1.0834870321480121, 1.0940129374765462, 1.103464186133738, 1.1117850918642667, 1.1189549197532958, 1.1249875706207644, 1.129929713901603, 1.1338573922175192, 1.1368711973085315, 1.1390902006712642, 1.140644911800663, 1.1416696304617249, 1.1422946542514751, 1.1426388949750976, 1.1428035412335198, 1.142867470842705, 1.1428851492319556, 1.1428877170850829, 1.1428877934021613], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.26150293362107113}

11.311698

1

4.368885

[ [ 0.8676661213264919, 0.8676661347530537, 0.8676667502105394, 0.8676719025836982, 0.8676933877864164, 0.8677552791239336, 0.8678972496591573, 0.8681763548768463, 0.8686671327801095, 0.8694600722837711, 0.8706586285216649, 0.8723750459185013, 0.8747252985000151, 0.8778234797833425, 0.8817759773475352, 0.8866757541443513, 0.8925970332195506, 0.8995906476264216, 0.9076802753465666, 0.9168597320834455, 0.9270914447034918, 0.938306176505069, 0.9504040238652209, 0.9632566534725088, 0.9767107015006519, 0.9905922118006617, 1.0047119504762554, 1.0188713999528347, 1.0328692076601445, 1.046507843443767, 1.0596002064380403, 1.0719759169260175, 1.0834870321480121, 1.0940129374765462, 1.103464186133738, 1.1117850918642667, 1.1189549197532958, 1.1249875706207644, 1.129929713901603, 1.1338573922175192, 1.1368711973085315, 1.1390902006712642, 1.140644911800663, 1.1416696304617249, 1.1422946542514751, 1.1426388949750976, 1.1428035412335198, 1.142867470842705, 1.1428851492319556, 1.1428877170850829, 1.1428877934021613 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.06282337587344175, 0.38701098067794704, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.261503

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

DbMtqPhRBXMmvsbcbpXZBso

null

false

null

false

DNKfPuKppn2WNs65PGb7ae6

Dg7JhLGPpaYLuf5qxjUotzt

{"qi": 0.010526309460728809, "vacuum_well": -0.23477172781479352, "aspect_ratio": 7.627825513924507, "max_elongation": 3.8223298047489918, "average_triangularity": 0.09752156512268087, "axis_magnetic_mirror_ratio": 0.6028872818878189, "edge_magnetic_mirror_ratio": 0.8222479799828724, "aspect_ratio_over_edge_rotational_transform": 11.631575532789494, "flux_compression_in_regions_of_bad_curvature": 0.831658469712993, "axis_rotational_transform_over_n_field_periods": 0.1304117278093568, "edge_rotational_transform_over_n_field_periods": 0.21859536547511305, "minimum_normalized_magnetic_gradient_scale_length": 2.6764161274175073}

7.627826

11.631576

0.05459

0.602887

0.130412

0.822248

0.218595

0.831658

3.82233

2.676416

0.010526

-0.234772

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.01600149209995859,-0.03665892310421188,-0.005454839623689741,-0.001463347992135015],[-0.004664402035134227,-0.011417928446562371,0.05464488155722848,-0.028203500541666163,0.11660301827325524,-0.030104539839555806,-0.0013382074655797147,-0.003857438072421885,-0.0011943643668901748],[-0.0013358435393994853,0.002879336543380792,-0.005259409887701242,0.00180474232458835,-0.013035887493344138,-0.0028858079410894613,-0.0023154569768682755,-0.00017335374410556862,-0.0008278692309152677],[-0.0008470519084997231,0.0006764104499031579,-0.0005290592649669436,-0.0015294418431772271,0.005885748846792807,-0.00454143214974729,0.001681695095469911,-0.0011136521254716597,0.00018302250550780507],[-0.000309109655638832,0.0004469993878287678,0.0006341589693042225,-0.0012933531078120348,0.00134492059953268,-0.001222790133139792,0.001029447917351539,-0.00022657127452887192,0.00024025575684962462]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.008202220357473724,0.00495553945135679,0.007835707731472182,-0.0006933849262019311],[-0.007046583553753567,0.010250474818923458,0.040596580535132445,0.017427309333040424,-0.14667755943294047,-0.0009812230775595714,-0.011577395238668303,0.00544078249796434,-0.0006614393391664829],[0.0016472147213562444,-0.0056618350862037686,0.00284235234908772,-0.008016749083235443,0.009603470451644613,-0.001808359609604679,0.0026716510756967654,-0.00014160291919343253,0.0006435516132970421],[0.00034361959656789505,0.0011491635496128551,0.003222999277805078,0.007954582990886534,-0.007904320828215718,0.004534636339484632,-0.004285899477593077,0.002323345746172968,-0.0008250388891700871],[-0.00018023992056064324,0.001278980021261352,-0.0021483671125305625,0.0030585598523669598,-0.0024492400194906314,0.0016113352166908122,-0.001460124141305909,0.0003787010334963483,-0.0003275052677937292]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.01600149209995859, -0.03665892310421188, -0.005454839623689741, -0.001463347992135015 ], [ -0.004664402035134227, -0.011417928446562371, 0.05464488155722848, -0.028203500541666163, 0.11660301827325524, -0.030104539839555806, -0.0013382074655797147, -0.003857438072421885, -0.0011943643668901748 ], [ -0.0013358435393994853, 0.002879336543380792, -0.005259409887701242, 0.00180474232458835, -0.013035887493344138, -0.0028858079410894613, -0.0023154569768682755, -0.00017335374410556862, -0.0008278692309152677 ], [ -0.0008470519084997231, 0.0006764104499031579, -0.0005290592649669436, -0.0015294418431772271, 0.005885748846792807, -0.00454143214974729, 0.001681695095469911, -0.0011136521254716597, 0.00018302250550780507 ], [ -0.000309109655638832, 0.0004469993878287678, 0.0006341589693042225, -0.0012933531078120348, 0.00134492059953268, -0.001222790133139792, 0.001029447917351539, -0.00022657127452887192, 0.00024025575684962462 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.008202220357473724, 0.00495553945135679, 0.007835707731472182, -0.0006933849262019311 ], [ -0.007046583553753567, 0.010250474818923458, 0.040596580535132445, 0.017427309333040424, -0.14667755943294047, -0.0009812230775595714, -0.011577395238668303, 0.00544078249796434, -0.0006614393391664829 ], [ 0.0016472147213562444, -0.0056618350862037686, 0.00284235234908772, -0.008016749083235443, 0.009603470451644613, -0.001808359609604679, 0.0026716510756967654, -0.00014160291919343253, 0.0006435516132970421 ], [ 0.00034361959656789505, 0.0011491635496128551, 0.003222999277805078, 0.007954582990886534, -0.007904320828215718, 0.004534636339484632, -0.004285899477593077, 0.002323345746172968, -0.0008250388891700871 ], [ -0.00018023992056064324, 0.001278980021261352, -0.0021483671125305625, 0.0030585598523669598, -0.0024492400194906314, 0.0016113352166908122, -0.001460124141305909, 0.0003787010334963483, -0.0003275052677937292 ] ]

DFLVk8Lg63gip2WKJf5CENL

{"aspect_ratio": 7.096436102138607, "major_radius": 1.0, "max_elongation": 4.533283149554004, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1059397863887914, -0.04415186490176872, 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": [[0.8679288136821919, 0.8679312044251041, 0.8679560957776585, 0.8680409491964995, 0.868232156402997, 0.8685811802884541, 0.8691420862392951, 0.8699697175634606, 0.8711182560662172, 0.872640044612098, 0.8745846031110563, 0.8769977957857047, 0.8799211219797304, 0.8833911113196643, 0.8874388094616047, 0.8920893442725362, 0.8973615648188623, 0.9032677473621666, 0.909813363932236, 0.9169969101086429, 0.9248097894912602, 0.9332362530421896, 0.9422533920825316, 0.9518311842608136, 0.9619325923016477, 0.9725137158145833, 0.9835239969129148, 0.9949064808783147, 1.006598133628159, 1.0185302183189904, 1.0306287340762954, 1.0428149206083028, 1.0550058333794847, 1.0671149951409518, 1.0790531310127112, 1.0907289960891116, 1.1020503068408787, 1.1129247906318884, 1.1232613717843332, 1.132971518322937, 1.1419707816282116, 1.1501805730991919, 1.1575302399496887, 1.1639595307990906, 1.1694215892504332, 1.1738866979558407, 1.1773471577498347, 1.1798240335046952, 1.1813773654790323, 1.1821242211723155, 1.1822845783871851], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.38309884955691864}

7.096436

1

4.533283

[ [ 0.8679288136821919, 0.8679312044251041, 0.8679560957776585, 0.8680409491964995, 0.868232156402997, 0.8685811802884541, 0.8691420862392951, 0.8699697175634606, 0.8711182560662172, 0.872640044612098, 0.8745846031110563, 0.8769977957857047, 0.8799211219797304, 0.8833911113196643, 0.8874388094616047, 0.8920893442725362, 0.8973615648188623, 0.9032677473621666, 0.909813363932236, 0.9169969101086429, 0.9248097894912602, 0.9332362530421896, 0.9422533920825316, 0.9518311842608136, 0.9619325923016477, 0.9725137158145833, 0.9835239969129148, 0.9949064808783147, 1.006598133628159, 1.0185302183189904, 1.0306287340762954, 1.0428149206083028, 1.0550058333794847, 1.0671149951409518, 1.0790531310127112, 1.0907289960891116, 1.1020503068408787, 1.1129247906318884, 1.1232613717843332, 1.132971518322937, 1.1419707816282116, 1.1501805730991919, 1.1575302399496887, 1.1639595307990906, 1.1694215892504332, 1.1738866979558407, 1.1773471577498347, 1.1798240335046952, 1.1813773654790323, 1.1821242211723155, 1.1822845783871851 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1059397863887914, -0.04415186490176872, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.383099

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

DhoxBPr8QGg9bpPHH3qtU3d

null

false

null

false

DjTuCgYBsX4kr3Rb56MASk7

DmhEtEhURHYq73LypmVtitH

{"qi": 0.04271527981944291, "vacuum_well": -0.07764294234775888, "aspect_ratio": 8.432438353406974, "max_elongation": 5.833218839235927, "average_triangularity": -0.3132777644875053, "axis_magnetic_mirror_ratio": 0.525422291630562, "edge_magnetic_mirror_ratio": 0.826542989901968, "aspect_ratio_over_edge_rotational_transform": 7.617719419881752, "flux_compression_in_regions_of_bad_curvature": 1.4820284222243594, "axis_rotational_transform_over_n_field_periods": 0.23589697798547343, "edge_rotational_transform_over_n_field_periods": 0.22139010085876515, "minimum_normalized_magnetic_gradient_scale_length": 2.570898282327454}

8.432438

7.617719

-0.290467

0.525422

0.235897

0.826543

0.22139

1.482028

5.833219

2.570898

0.042715

-0.077643

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.12084875072437577,-0.03472350086555064,-0.0051695772707875546,0.0006837310810232618],[-0.000271615564918946,0.0007627964243457884,0.03466402403845977,0.026554871857477357,0.10773696420761204,-0.008084655769440171,0.002775789827900159,0.0011517434335186832,0.0001899850185768281],[-0.00008636498036970786,0.0031419368720447195,-0.01480819092552172,-0.00395380841906486,-0.0052829775986846985,-0.013134913927045397,0.00002352345718370074,-0.0011552828762963073,-0.0002443727718340457],[0.0009415931924837925,-0.0009212212992245694,0.0009231544978674009,0.004745309006687418,0.001627445442330253,-0.00001945933918365804,0.0001664107849527536,-0.000052909314688646145,-0.00003687738892685729],[-0.0003604518443374152,-0.0004952175231540881,3.4690079379716946e-6,0.0005812228068717458,-0.0008666273340838761,0.00007331521243547807,-0.00014139478928294974,-0.00001050734604494743,-0.000013669235922119088]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07114396397996971,0.018024153477688685,0.002460938134252154,0.001048437500352476],[-0.00045974924256805025,0.0005484762705287439,0.04599538646356216,0.057586371920505065,-0.15674736787480176,-0.0069324454531485905,-0.0017995483440807307,-0.00186021366736054,-0.0005335100396319998],[0.0008224930486975545,-0.00030894311043445206,-0.016383716480239,-0.019536877228967943,0.0012959926762750183,0.00597095994838178,0.0000339715115566519,0.0013328138496383505,0.00012164402117358878],[0.0003377974652704843,-0.00042756206416307604,0.002579278757493815,-0.007259068105068385,-0.002581978967371668,-0.0019730345443769726,-0.0005591536461013321,7.432318559233279e-6,0.0000535810291825424],[-0.00040310013618955246,0.00014412559988421104,-0.0010744245330254283,0.0007900399814840731,0.0007583066489369865,-0.00009389517007758839,-0.00011830246616491833,0.000036890547863835266,0.00003669289321413705]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.12084875072437577, -0.03472350086555064, -0.0051695772707875546, 0.0006837310810232618 ], [ -0.000271615564918946, 0.0007627964243457884, 0.03466402403845977, 0.026554871857477357, 0.10773696420761204, -0.008084655769440171, 0.002775789827900159, 0.0011517434335186832, 0.0001899850185768281 ], [ -0.00008636498036970786, 0.0031419368720447195, -0.01480819092552172, -0.00395380841906486, -0.0052829775986846985, -0.013134913927045397, 0.00002352345718370074, -0.0011552828762963073, -0.0002443727718340457 ], [ 0.0009415931924837925, -0.0009212212992245694, 0.0009231544978674009, 0.004745309006687418, 0.001627445442330253, -0.00001945933918365804, 0.0001664107849527536, -0.000052909314688646145, -0.00003687738892685729 ], [ -0.0003604518443374152, -0.0004952175231540881, 0.0000034690079379716946, 0.0005812228068717458, -0.0008666273340838761, 0.00007331521243547807, -0.00014139478928294974, -0.00001050734604494743, -0.000013669235922119088 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07114396397996971, 0.018024153477688685, 0.002460938134252154, 0.001048437500352476 ], [ -0.00045974924256805025, 0.0005484762705287439, 0.04599538646356216, 0.057586371920505065, -0.15674736787480176, -0.0069324454531485905, -0.0017995483440807307, -0.00186021366736054, -0.0005335100396319998 ], [ 0.0008224930486975545, -0.00030894311043445206, -0.016383716480239, -0.019536877228967943, 0.0012959926762750183, 0.00597095994838178, 0.0000339715115566519, 0.0013328138496383505, 0.00012164402117358878 ], [ 0.0003377974652704843, -0.00042756206416307604, 0.002579278757493815, -0.007259068105068385, -0.002581978967371668, -0.0019730345443769726, -0.0005591536461013321, 0.000007432318559233279, 0.0000535810291825424 ], [ -0.00040310013618955246, 0.00014412559988421104, -0.0010744245330254283, 0.0007900399814840731, 0.0007583066489369865, -0.00009389517007758839, -0.00011830246616491833, 0.000036890547863835266, 0.00003669289321413705 ] ]

DXM8rfS6hQwpKfffePKBipm

{"aspect_ratio": 7.699262292281722, "major_radius": 1.0, "max_elongation": 5.349600044635176, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1637013883294471, 0.1341282573429417, 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": [[0.740526319233876, 0.7405348186260879, 0.7406408945884632, 0.7410361435199994, 0.7419665019089341, 0.7436965627024013, 0.7464841597144263, 0.7505620677436037, 0.7561251903094238, 0.7633221521133452, 0.7722504837217642, 0.7829547463022133, 0.7954270513749616, 0.8096095085475319, 0.8253981947530858, 0.8426482878576805, 0.8611800492342674, 0.8807853762241421, 0.901234677732613, 0.9222838554793595, 0.9436812002979764, 0.9651740378174722, 0.9865149811987076, 1.0074676705916747, 1.0278118998143069, 1.0473480505746748, 1.0659007734773198, 1.083321873157101, 1.099492372236671, 1.1143237454570496, 1.1277583313222084, 1.1397689439543943, 1.1503577225933987, 1.1595542702970514, 1.1674131469096114, 1.1740107942475109, 1.1794419836855732, 1.183815887876524, 1.18725188915246, 1.189875247169927, 1.191812757475951, 1.1931885407613207, 1.1941201094499951, 1.1947148636949994, 1.1950671724396797, 1.1952561963931876, 1.1953446076543968, 1.1953783537413238, 1.1953875989936127, 1.195388947271144, 1.1953889886045954], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.2854358662802756}

7.699262

1

5.3496

[ [ 0.740526319233876, 0.7405348186260879, 0.7406408945884632, 0.7410361435199994, 0.7419665019089341, 0.7436965627024013, 0.7464841597144263, 0.7505620677436037, 0.7561251903094238, 0.7633221521133452, 0.7722504837217642, 0.7829547463022133, 0.7954270513749616, 0.8096095085475319, 0.8253981947530858, 0.8426482878576805, 0.8611800492342674, 0.8807853762241421, 0.901234677732613, 0.9222838554793595, 0.9436812002979764, 0.9651740378174722, 0.9865149811987076, 1.0074676705916747, 1.0278118998143069, 1.0473480505746748, 1.0659007734773198, 1.083321873157101, 1.099492372236671, 1.1143237454570496, 1.1277583313222084, 1.1397689439543943, 1.1503577225933987, 1.1595542702970514, 1.1674131469096114, 1.1740107942475109, 1.1794419836855732, 1.183815887876524, 1.18725188915246, 1.189875247169927, 1.191812757475951, 1.1931885407613207, 1.1941201094499951, 1.1947148636949994, 1.1950671724396797, 1.1952561963931876, 1.1953446076543968, 1.1953783537413238, 1.1953875989936127, 1.195388947271144, 1.1953889886045954 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1637013883294471, 0.1341282573429417, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.285436

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

DXGq4ikdHBBHSVkEnxVUb6D

null

false

null

false

DCNADdamNWavv3hYyBeiADD

DUpyTK6iT8i7teLJyRNpuwk

{"qi": 0.007122905176072996, "vacuum_well": -0.0431828982251407, "aspect_ratio": 10.02481213176136, "max_elongation": 4.7258698254292755, "average_triangularity": -0.3790908798126299, "axis_magnetic_mirror_ratio": 0.13348007585879432, "edge_magnetic_mirror_ratio": 0.1853926955342392, "aspect_ratio_over_edge_rotational_transform": 35.60228779520929, "flux_compression_in_regions_of_bad_curvature": 0.9026505185380883, "axis_rotational_transform_over_n_field_periods": 0.1445271960238272, "edge_rotational_transform_over_n_field_periods": 0.14078887555521524, "minimum_normalized_magnetic_gradient_scale_length": 4.311448240547869}

10.024812

35.602288

-0.283645

0.13348

0.144527

0.185393

0.140789

0.902651

4.72587

4.311448

0.007123

-0.043183

{"r_cos":[[0.0,0.0,0.0,0.0,0.9990462300750832,-0.0825190254875942,-0.050647121081753704,0.010304553059120728,0.000050292911676305153],[0.0011862294541717083,-0.0035824394154070523,0.01753986396094561,-0.011095721430913308,0.1020077608143513,-0.027831948949977675,0.002737282924403021,0.0002535475717473682,0.00005397367900208537],[0.0009513773142422324,-0.0013733625474045823,0.0028708994503060317,-0.008619498470258535,-0.0019852223721746366,0.0059269552031042255,-0.0040429837749088576,0.0009259056783750511,-0.000108348607377793],[0.0005717642036805032,-0.0002377848047974495,0.004284146060066979,-0.0002438850676616481,0.005211225863240635,-0.002823555370276591,0.0000788730702809097,0.00010834120541948565,-0.000060161056223620305],[0.00006519110555702339,-0.00013222492869079079,-0.00010573108211746738,-0.00024137061248698244,0.0007583979525330889,0.00004503581974113492,-9.834468145691267e-6,-0.00003066285303392814,0.000046132715325878065]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.23453812900043464,0.039447907318149324,-0.005100122348983639,0.001352311809971347],[0.0027805384103749015,-0.005334683481417926,0.006697695415821373,-0.08559184910847523,-0.09090134095914058,0.07458779731060478,-0.009566107345165574,-0.001070959448995493,0.00030216260193677703],[0.001076836733816918,-0.0023044277030834174,0.0056213847791789845,0.002015071950060025,-0.03964154243281923,-0.004068927728986178,0.007770445119092142,-0.002630478660535728,0.00042397052966712285],[0.000603983021432789,-0.002725238243214222,-0.00020920974461301233,0.0015184719525305939,-0.004249175906530102,0.0015720686274539341,-0.0015641805929660605,0.00029553117542683725,0.00001584474731045689],[0.00022769574480123347,0.00009888014357360608,0.00044524027856634427,0.0007664595628620039,-0.00022943751556903525,0.00004541489050859088,-0.000040493420380164984,0.00021049054265324406,9.260816383995605e-6]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9990462300750832, -0.0825190254875942, -0.050647121081753704, 0.010304553059120728, 0.000050292911676305153 ], [ 0.0011862294541717083, -0.0035824394154070523, 0.01753986396094561, -0.011095721430913308, 0.1020077608143513, -0.027831948949977675, 0.002737282924403021, 0.0002535475717473682, 0.00005397367900208537 ], [ 0.0009513773142422324, -0.0013733625474045823, 0.0028708994503060317, -0.008619498470258535, -0.0019852223721746366, 0.0059269552031042255, -0.0040429837749088576, 0.0009259056783750511, -0.000108348607377793 ], [ 0.0005717642036805032, -0.0002377848047974495, 0.004284146060066979, -0.0002438850676616481, 0.005211225863240635, -0.002823555370276591, 0.0000788730702809097, 0.00010834120541948565, -0.000060161056223620305 ], [ 0.00006519110555702339, -0.00013222492869079079, -0.00010573108211746738, -0.00024137061248698244, 0.0007583979525330889, 0.00004503581974113492, -0.000009834468145691267, -0.00003066285303392814, 0.000046132715325878065 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.23453812900043464, 0.039447907318149324, -0.005100122348983639, 0.001352311809971347 ], [ 0.0027805384103749015, -0.005334683481417926, 0.006697695415821373, -0.08559184910847523, -0.09090134095914058, 0.07458779731060478, -0.009566107345165574, -0.001070959448995493, 0.00030216260193677703 ], [ 0.001076836733816918, -0.0023044277030834174, 0.0056213847791789845, 0.002015071950060025, -0.03964154243281923, -0.004068927728986178, 0.007770445119092142, -0.002630478660535728, 0.00042397052966712285 ], [ 0.000603983021432789, -0.002725238243214222, -0.00020920974461301233, 0.0015184719525305939, -0.004249175906530102, 0.0015720686274539341, -0.0015641805929660605, 0.00029553117542683725, 0.00001584474731045689 ], [ 0.00022769574480123347, 0.00009888014357360608, 0.00044524027856634427, 0.0007664595628620039, -0.00022943751556903525, 0.00004541489050859088, -0.000040493420380164984, 0.00021049054265324406, 0.000009260816383995605 ] ]

DfS9VXiJoiNKzNDFQV9zadd

{"aspect_ratio": 10.316953248657693, "major_radius": 1.0, "max_elongation": 4.399874231675173, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2921834582436809, 0.22287871339081788, 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": [[0.8902109487094076, 0.8902109607342523, 0.8902113628736599, 0.8902141809662496, 0.8902246794792573, 0.8902527330959442, 0.8903138890732668, 0.8904300989802422, 0.8906301186387127, 0.8909495858812391, 0.8914307925291729, 0.89212217167546, 0.8930775247815768, 0.8943550157055135, 0.8960159608179914, 0.8981234459898024, 0.9007408025425793, 0.9039299753141938, 0.907749816843631, 0.9122543423603648, 0.9174909807923659, 0.923498857400552, 0.9303071439163196, 0.9379335122092092, 0.9463827275468215, 0.9556454174286854, 0.9656970517767903, 0.9764971699416336, 0.9879888895241511, 1.0000987314069474, 1.012736794614018, 1.0257973136515441, 1.0391596297900754, 1.0526896062862707, 1.0662415157512075, 1.0796604256721047, 1.0927851053753168, 1.1054514743272523, 1.1174966073874832, 1.1287633071345777, 1.1391052461982616, 1.1483926729018863, 1.1565186602347357, 1.1634058591816931, 1.1690136890635088, 1.1733458527416727, 1.1764579886039181, 1.1784651297345972, 1.1795483391536363, 1.1799590971891096, 1.1800167960711367], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.3113792252799362}

10.316953

1

4.399874

[ [ 0.8902109487094076, 0.8902109607342523, 0.8902113628736599, 0.8902141809662496, 0.8902246794792573, 0.8902527330959442, 0.8903138890732668, 0.8904300989802422, 0.8906301186387127, 0.8909495858812391, 0.8914307925291729, 0.89212217167546, 0.8930775247815768, 0.8943550157055135, 0.8960159608179914, 0.8981234459898024, 0.9007408025425793, 0.9039299753141938, 0.907749816843631, 0.9122543423603648, 0.9174909807923659, 0.923498857400552, 0.9303071439163196, 0.9379335122092092, 0.9463827275468215, 0.9556454174286854, 0.9656970517767903, 0.9764971699416336, 0.9879888895241511, 1.0000987314069474, 1.012736794614018, 1.0257973136515441, 1.0391596297900754, 1.0526896062862707, 1.0662415157512075, 1.0796604256721047, 1.0927851053753168, 1.1054514743272523, 1.1174966073874832, 1.1287633071345777, 1.1391052461982616, 1.1483926729018863, 1.1565186602347357, 1.1634058591816931, 1.1690136890635088, 1.1733458527416727, 1.1764579886039181, 1.1784651297345972, 1.1795483391536363, 1.1799590971891096, 1.1800167960711367 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2921834582436809, 0.22287871339081788, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.311379

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

DiRk7EB7Y4iF3fr6kx7br7E

null

false

null

false

D88usxN3TodVx2H6kCjPh8i

DBR8Gy49riHS3pgVtBbLVnX

{"qi": 0.01745611543941767, "vacuum_well": -0.21068690652190333, "aspect_ratio": 9.557414357459963, "max_elongation": 6.699320209102181, "average_triangularity": -0.44072521951471955, "axis_magnetic_mirror_ratio": 0.2599095989897807, "edge_magnetic_mirror_ratio": 0.4612639002033057, "aspect_ratio_over_edge_rotational_transform": 8.984151618811577, "flux_compression_in_regions_of_bad_curvature": 1.171533591144417, "axis_rotational_transform_over_n_field_periods": 0.2247309063498292, "edge_rotational_transform_over_n_field_periods": 0.3546027405803516, "minimum_normalized_magnetic_gradient_scale_length": 3.8409860881233575}

9.557414

8.984152

-0.673835

0.25991

0.224731

0.461264

0.354603

1.171534

6.69932

3.840986

0.017456

-0.210687

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.03567336229069941,-0.0391680394171723,0.00039554941006335033,0.0034833372991915864],[-0.00035179705914521633,-0.0049184613699002466,0.058167963000425676,-0.02443979452157107,0.08777895666708868,-0.022183300834429317,-0.014801236937022118,0.00021085862456463175,0.0008080806515434302],[-0.0020951910370962308,-0.006897949160512484,-0.0018157832134497451,0.0021909446573828385,-0.02210052271682243,0.009608948760387318,-0.0004387808689524351,-0.0014497883771152974,-0.0002499580425931663],[0.0007479801848270849,0.0004772309955661178,-0.0009212670396667019,0.00418335054260716,-0.001168575636986652,-0.003087779760530537,0.001158161549353288,0.0003005195254998319,-0.0003190910368881462],[0.00012073960388059592,0.000768096485679854,-0.0028615691753971395,-0.0003761699181011862,0.0008017441093614407,-0.00044964229786193487,-0.00011695206921119106,-0.00008252383361755382,1.361194566182565e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.09786990346937681,0.004733452825857355,-0.002096306911186436,-0.0035082263084672324],[-0.0009034353945603443,0.010028966487677508,0.05155483019650996,-0.017693003415461726,-0.1595226631898816,-0.009985513082949106,0.020200745556009054,0.003331174197737184,-0.00048235748150737975],[-0.0035286806004308294,-0.005139060638194242,-0.016125912864531203,0.001096736814724803,0.005520359777316422,-0.0033878241260007404,0.0013551759000700629,0.002925364279371249,0.0005761046031822654],[0.00073832472859805,0.0006287250836495127,-0.0023209337566459007,0.002367932108116183,0.002827096686846136,0.0022670393050622482,0.00015250590736435492,-0.0005216730460558748,0.0001435534507425591],[0.0007735052869119901,0.0011729956998161777,0.0016861382243968785,0.0008118350833517466,-0.00016408180373654775,-0.00019303661728447522,-0.00012811158558010403,-9.02008660531872e-6,-0.000026825937347836842]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.03567336229069941, -0.0391680394171723, 0.00039554941006335033, 0.0034833372991915864 ], [ -0.00035179705914521633, -0.0049184613699002466, 0.058167963000425676, -0.02443979452157107, 0.08777895666708868, -0.022183300834429317, -0.014801236937022118, 0.00021085862456463175, 0.0008080806515434302 ], [ -0.0020951910370962308, -0.006897949160512484, -0.0018157832134497451, 0.0021909446573828385, -0.02210052271682243, 0.009608948760387318, -0.0004387808689524351, -0.0014497883771152974, -0.0002499580425931663 ], [ 0.0007479801848270849, 0.0004772309955661178, -0.0009212670396667019, 0.00418335054260716, -0.001168575636986652, -0.003087779760530537, 0.001158161549353288, 0.0003005195254998319, -0.0003190910368881462 ], [ 0.00012073960388059592, 0.000768096485679854, -0.0028615691753971395, -0.0003761699181011862, 0.0008017441093614407, -0.00044964229786193487, -0.00011695206921119106, -0.00008252383361755382, 0.000001361194566182565 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.09786990346937681, 0.004733452825857355, -0.002096306911186436, -0.0035082263084672324 ], [ -0.0009034353945603443, 0.010028966487677508, 0.05155483019650996, -0.017693003415461726, -0.1595226631898816, -0.009985513082949106, 0.020200745556009054, 0.003331174197737184, -0.00048235748150737975 ], [ -0.0035286806004308294, -0.005139060638194242, -0.016125912864531203, 0.001096736814724803, 0.005520359777316422, -0.0033878241260007404, 0.0013551759000700629, 0.002925364279371249, 0.0005761046031822654 ], [ 0.00073832472859805, 0.0006287250836495127, -0.0023209337566459007, 0.002367932108116183, 0.002827096686846136, 0.0022670393050622482, 0.00015250590736435492, -0.0005216730460558748, 0.0001435534507425591 ], [ 0.0007735052869119901, 0.0011729956998161777, 0.0016861382243968785, 0.0008118350833517466, -0.00016408180373654775, -0.00019303661728447522, -0.00012811158558010403, -0.00000902008660531872, -0.000026825937347836842 ] ]

DKZYULv8JvGxHZeQQxdage6

{"aspect_ratio": 10.926581936936907, "major_radius": 1.0, "max_elongation": 6.169297294271817, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07872128825323381, -0.5316540908542924, 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": [[0.7100076747631052, 0.7100077032290443, 0.7100088613811479, 0.7100179386607498, 0.7100542797765417, 0.7101562652238997, 0.7103863311520131, 0.7108340905965072, 0.7116174074722456, 0.7128814487279396, 0.7147958543979837, 0.717550242693263, 0.7213483192970177, 0.7264008933584293, 0.7329181215470193, 0.7411013088287862, 0.7511345924202248, 0.7631768252226651, 0.7773539581478045, 0.7937521980913074, 0.8124121907038603, 0.833324445237038, 0.8564261832061206, 0.8815997539509668, 0.9086727188801387, 0.937419662711157, 0.9675657448082533, 0.9987919571942754, 1.030742008398962, 1.0630307044318352, 1.0952536502801848, 1.1269980479028343, 1.157854320228252, 1.1874282457333005, 1.215353245409981, 1.241302424051033, 1.2649999316593292, 1.286231179444018, 1.3048514195831855, 1.3207921803226828, 1.3340650401458454, 1.344762229513479, 1.3530535699675643, 1.3591793039088416, 1.363438442744639, 1.366172380261431, 1.3677437059928514, 1.3685104553517355, 1.3687965462904286, 1.3688601252944972, 1.3688638714035795], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6411439514440151}

10.926582

1

6.169297

[ [ 0.7100076747631052, 0.7100077032290443, 0.7100088613811479, 0.7100179386607498, 0.7100542797765417, 0.7101562652238997, 0.7103863311520131, 0.7108340905965072, 0.7116174074722456, 0.7128814487279396, 0.7147958543979837, 0.717550242693263, 0.7213483192970177, 0.7264008933584293, 0.7329181215470193, 0.7411013088287862, 0.7511345924202248, 0.7631768252226651, 0.7773539581478045, 0.7937521980913074, 0.8124121907038603, 0.833324445237038, 0.8564261832061206, 0.8815997539509668, 0.9086727188801387, 0.937419662711157, 0.9675657448082533, 0.9987919571942754, 1.030742008398962, 1.0630307044318352, 1.0952536502801848, 1.1269980479028343, 1.157854320228252, 1.1874282457333005, 1.215353245409981, 1.241302424051033, 1.2649999316593292, 1.286231179444018, 1.3048514195831855, 1.3207921803226828, 1.3340650401458454, 1.344762229513479, 1.3530535699675643, 1.3591793039088416, 1.363438442744639, 1.366172380261431, 1.3677437059928514, 1.3685104553517355, 1.3687965462904286, 1.3688601252944972, 1.3688638714035795 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.07872128825323381, -0.5316540908542924, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.641144

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

DW5o79PFfeKzxaUaBEnVtTr

null

false

null

false

DGLHZd2Vuk8JistxEPofghj

DhUQMA7x7WDBcLzNT2EhDit

{"qi": 0.02415041634153455, "vacuum_well": -0.17283222544846774, "aspect_ratio": 9.938091326558853, "max_elongation": 5.8759086471742155, "average_triangularity": -0.26024598547946165, "axis_magnetic_mirror_ratio": 0.2808953382610755, "edge_magnetic_mirror_ratio": 0.3426018614314733, "aspect_ratio_over_edge_rotational_transform": 8.99010108031727, "flux_compression_in_regions_of_bad_curvature": 1.6051782754626696, "axis_rotational_transform_over_n_field_periods": 0.22069875373967474, "edge_rotational_transform_over_n_field_periods": 0.22108964599557374, "minimum_normalized_magnetic_gradient_scale_length": 10.294449736375554}

9.938091

8.990101

-0.38684

0.280895

0.220699

0.342602

0.22109

1.605178

5.875909

10.29445

0.02415

-0.172832

{"r_cos":[[0.0,0.0,0.0,0.0,0.9977533152559275,0.044660743816817804,0.002713871886634633,0.0013360515476274393,-0.0001228179393978862],[-0.00008681537020048888,-0.003845347766925576,-0.014329787232749164,-0.06386935716399014,0.12599925141541465,-0.0011000769071528235,-0.00360932212020049,0.00003586357210446744,0.00008267785785463457],[0.0006521824216442342,0.003429314348213408,-0.005536049951568839,0.007192852282134319,-0.010924462183544677,0.004340791293993521,-0.00024105601709587627,-0.00026269767447185326,-0.000059240860750734586],[0.0007133948576159817,0.0007727073905801195,0.00023668036375636928,-0.002844875185805989,0.004432567416880173,-0.0025817556285570127,0.0002695697479434754,0.000024743586883466063,-0.00004459426583674673],[-0.00024476834364233185,-0.0007655670660870854,-0.00038183650970580586,0.0008949039103755148,-0.0000973671705584273,-0.0005230176786957647,0.0004079790028669434,-0.0001451966487153738,0.000023382544275937417]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.023926761767048298,-0.0012899192405289841,-0.0010620358868759293,-0.00015451772592652707],[-0.00032816172113063995,-0.0028517560792572713,-0.005597481965456129,-0.08698760487208278,-0.1312537812963239,0.03562324024494505,-0.0037271250903094704,0.001187107777639972,-0.000314963500975267],[0.000162415624255355,0.00337331250346212,0.0062078725077799185,0.014262468825766556,-0.022867893377317563,0.009708060806761322,-0.0028545304486914114,0.001081736431072929,-0.00024177044124705418],[0.00017736676539449123,0.0018150686342684093,0.006787721438277221,0.0051125878249475626,-0.007730724743047385,0.006109687808040947,-0.00202552581367904,0.0004940266357839759,-0.00009618231497254064],[-0.00036461197143221183,-0.0014433362323963339,0.00014092502792492287,-0.0003388373650033699,0.000057138774343177883,0.0009120836530434427,-0.0006736298988655291,0.0002062580981322705,-0.00005935787345648488]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9977533152559275, 0.044660743816817804, 0.002713871886634633, 0.0013360515476274393, -0.0001228179393978862 ], [ -0.00008681537020048888, -0.003845347766925576, -0.014329787232749164, -0.06386935716399014, 0.12599925141541465, -0.0011000769071528235, -0.00360932212020049, 0.00003586357210446744, 0.00008267785785463457 ], [ 0.0006521824216442342, 0.003429314348213408, -0.005536049951568839, 0.007192852282134319, -0.010924462183544677, 0.004340791293993521, -0.00024105601709587627, -0.00026269767447185326, -0.000059240860750734586 ], [ 0.0007133948576159817, 0.0007727073905801195, 0.00023668036375636928, -0.002844875185805989, 0.004432567416880173, -0.0025817556285570127, 0.0002695697479434754, 0.000024743586883466063, -0.00004459426583674673 ], [ -0.00024476834364233185, -0.0007655670660870854, -0.00038183650970580586, 0.0008949039103755148, -0.0000973671705584273, -0.0005230176786957647, 0.0004079790028669434, -0.0001451966487153738, 0.000023382544275937417 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.023926761767048298, -0.0012899192405289841, -0.0010620358868759293, -0.00015451772592652707 ], [ -0.00032816172113063995, -0.0028517560792572713, -0.005597481965456129, -0.08698760487208278, -0.1312537812963239, 0.03562324024494505, -0.0037271250903094704, 0.001187107777639972, -0.000314963500975267 ], [ 0.000162415624255355, 0.00337331250346212, 0.0062078725077799185, 0.014262468825766556, -0.022867893377317563, 0.009708060806761322, -0.0028545304486914114, 0.001081736431072929, -0.00024177044124705418 ], [ 0.00017736676539449123, 0.0018150686342684093, 0.006787721438277221, 0.0051125878249475626, -0.007730724743047385, 0.006109687808040947, -0.00202552581367904, 0.0004940266357839759, -0.00009618231497254064 ], [ -0.00036461197143221183, -0.0014433362323963339, 0.00014092502792492287, -0.0003388373650033699, 0.000057138774343177883, 0.0009120836530434427, -0.0006736298988655291, 0.0002062580981322705, -0.00005935787345648488 ] ]

DkDwSTrzM3cdCbTVLS8NQif

{"aspect_ratio": 10.791920101298318, "major_radius": 1.0, "max_elongation": 5.482511776375414, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.10586118503945834, -0.5954581713950167, 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": [[0.7619505955202575, 0.761950639160904, 0.7619523152984407, 0.7619649313645297, 0.7620138188935169, 0.7621472015101688, 0.7624405370541485, 0.762998091579792, 0.7639518507547319, 0.7654580609941667, 0.7676917969870976, 0.7708400064631794, 0.7750935038062107, 0.7806383813001934, 0.7876472867942883, 0.7962709838504742, 0.8066305682728135, 0.8188106658345519, 0.8328538820342656, 0.8487567174841071, 0.8664671034640744, 0.8858836524783661, 0.9068566593922217, 0.929190830869674, 0.9526496652493147, 0.9769613524961647, 1.001826015212432, 1.0269240675997913, 1.0519254304347154, 1.0764993072218283, 1.1003242003938252, 1.1230978273941288, 1.1445465853809031, 1.1644342108151147, 1.1825692870544353, 1.1988112700215476, 1.2130747298574216, 1.2253315460904934, 1.235610846237339, 1.243996544026579, 1.2506224149283718, 1.2556647449774907, 1.2593327060025525, 1.2618567489281005, 1.263475470362402, 1.2644216013583827, 1.2649079989570864, 1.2651148041768008, 1.2651792894192915, 1.2651904087527523, 1.2651908454885588], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.2083078546543606}

10.79192

1

5.482512

[ [ 0.7619505955202575, 0.761950639160904, 0.7619523152984407, 0.7619649313645297, 0.7620138188935169, 0.7621472015101688, 0.7624405370541485, 0.762998091579792, 0.7639518507547319, 0.7654580609941667, 0.7676917969870976, 0.7708400064631794, 0.7750935038062107, 0.7806383813001934, 0.7876472867942883, 0.7962709838504742, 0.8066305682728135, 0.8188106658345519, 0.8328538820342656, 0.8487567174841071, 0.8664671034640744, 0.8858836524783661, 0.9068566593922217, 0.929190830869674, 0.9526496652493147, 0.9769613524961647, 1.001826015212432, 1.0269240675997913, 1.0519254304347154, 1.0764993072218283, 1.1003242003938252, 1.1230978273941288, 1.1445465853809031, 1.1644342108151147, 1.1825692870544353, 1.1988112700215476, 1.2130747298574216, 1.2253315460904934, 1.235610846237339, 1.243996544026579, 1.2506224149283718, 1.2556647449774907, 1.2593327060025525, 1.2618567489281005, 1.263475470362402, 1.2644216013583827, 1.2649079989570864, 1.2651148041768008, 1.2651792894192915, 1.2651904087527523, 1.2651908454885588 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.10586118503945834, -0.5954581713950167, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.208308

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

D8bev4xEtpwp5kWTmHFGmCb

null

false

null

false

DH3aLH2unKnSZeidT6jU4h8

DZ5y3Ug2fCMt9eKwozxgtSi

{"qi": 0.012609751082710223, "vacuum_well": 0.013097508645460857, "aspect_ratio": 6.743798093849172, "max_elongation": 6.026952577851027, "average_triangularity": 0.1902238124703787, "axis_magnetic_mirror_ratio": 0.1943354432940548, "edge_magnetic_mirror_ratio": 0.39207912130375727, "aspect_ratio_over_edge_rotational_transform": 15.073309271881406, "flux_compression_in_regions_of_bad_curvature": 2.1537239613833603, "axis_rotational_transform_over_n_field_periods": 0.09592399833375197, "edge_rotational_transform_over_n_field_periods": 0.11184999213194394, "minimum_normalized_magnetic_gradient_scale_length": 2.707638390415984}

6.743798

15.073309

0.293965

0.194335

0.095924

0.392079

0.11185

2.153724

6.026953

2.707638

0.01261

0.013098

{"r_cos":[[0.0,0.0,0.0,0.0,0.9979734313145843,0.020225584663749435,-0.014006435314123078,-0.0004920243604110072,0.0008112895767452043],[-0.00069101900199321,-0.001135484043182619,-0.007506579272139704,-0.06110521329474314,0.20079190156055968,-0.0014896619503153574,-0.00892398385770094,-0.004788001644708641,-0.0011805445994556697],[-0.0004761251602110548,0.002231722961632242,0.012081861060589599,0.008629898837522144,-0.022855449504704157,-0.010262713757755058,0.0019366422438253442,-0.00018793011121375695,-0.000077681310472051],[0.0009838595172396466,-0.0003839340671531613,-0.0023934052945577653,-0.009301961889030527,-0.001726133851707677,0.002850542417761608,-0.0011918277035049179,0.00039516714426719805,0.0003414944128822788],[0.00008897099107717723,-0.0008492208421903226,-0.0004453464044463477,-0.0002727070792990991,0.0009853697869029246,0.00039595182132440987,-0.00007788476619701107,-0.00013303344209379333,0.00002753962609054188]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.64476658257591,0.02592983363053329,-0.0196224557969045,0.005081441572942117],[-0.003500247439643129,-0.003964127841370324,-0.04169934384579008,-0.031125617007922934,-0.11520887672218649,0.00040331302389059846,-0.015075843049473282,0.005924876751084732,-0.0016953739594146268],[0.0008836472307304661,0.002574968565198235,0.012483828510585448,-0.007849812108292524,0.0029498826869638205,0.005311118578377457,0.004353161268348361,-0.0025082931725676355,0.0008725143668672702],[0.0007960308900254365,-0.00040623846413308533,-0.0004851804986306989,0.0012519363196951058,0.001533578548476015,0.00042781278189027954,-0.0005484769009255884,0.0002574944475584606,-0.0001942931980714632],[-0.00008786769141318521,0.0005047741555513361,0.00034622990646897067,0.0006275546100139885,-0.0004251135793416283,-0.00005747049392090933,0.00033526058848064533,-0.000112951886984892,0.00002587498704456593]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9979734313145843, 0.020225584663749435, -0.014006435314123078, -0.0004920243604110072, 0.0008112895767452043 ], [ -0.00069101900199321, -0.001135484043182619, -0.007506579272139704, -0.06110521329474314, 0.20079190156055968, -0.0014896619503153574, -0.00892398385770094, -0.004788001644708641, -0.0011805445994556697 ], [ -0.0004761251602110548, 0.002231722961632242, 0.012081861060589599, 0.008629898837522144, -0.022855449504704157, -0.010262713757755058, 0.0019366422438253442, -0.00018793011121375695, -0.000077681310472051 ], [ 0.0009838595172396466, -0.0003839340671531613, -0.0023934052945577653, -0.009301961889030527, -0.001726133851707677, 0.002850542417761608, -0.0011918277035049179, 0.00039516714426719805, 0.0003414944128822788 ], [ 0.00008897099107717723, -0.0008492208421903226, -0.0004453464044463477, -0.0002727070792990991, 0.0009853697869029246, 0.00039595182132440987, -0.00007788476619701107, -0.00013303344209379333, 0.00002753962609054188 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.64476658257591, 0.02592983363053329, -0.0196224557969045, 0.005081441572942117 ], [ -0.003500247439643129, -0.003964127841370324, -0.04169934384579008, -0.031125617007922934, -0.11520887672218649, 0.00040331302389059846, -0.015075843049473282, 0.005924876751084732, -0.0016953739594146268 ], [ 0.0008836472307304661, 0.002574968565198235, 0.012483828510585448, -0.007849812108292524, 0.0029498826869638205, 0.005311118578377457, 0.004353161268348361, -0.0025082931725676355, 0.0008725143668672702 ], [ 0.0007960308900254365, -0.00040623846413308533, -0.0004851804986306989, 0.0012519363196951058, 0.001533578548476015, 0.00042781278189027954, -0.0005484769009255884, 0.0002574944475584606, -0.0001942931980714632 ], [ -0.00008786769141318521, 0.0005047741555513361, 0.00034622990646897067, 0.0006275546100139885, -0.0004251135793416283, -0.00005747049392090933, 0.00033526058848064533, -0.000112951886984892, 0.00002587498704456593 ] ]

DG7dYhaBdWNbY3FoXzHvV96

{"aspect_ratio": 6.865198645304814, "major_radius": 1.0, "max_elongation": 4.434110103887832, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.12963532591447766, -0.3829496958101812, 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": [[0.8828240892864241, 0.8828265547717727, 0.8828501939066234, 0.8829270170759131, 0.8830948729328616, 0.8833947223940202, 0.883869019149817, 0.8845605612056563, 0.8855116063197119, 0.8867631568578263, 0.8883543632098293, 0.8903220153846552, 0.8927001032711247, 0.8955194323521027, 0.8988072855643862, 0.902587124548683, 0.9068783252774576, 0.9116959442859807, 0.9170505126414347, 0.9229478554757076, 0.929388935449598, 0.9363697189562331, 0.9438810642419102, 0.9519086309467556, 0.960432810863479, 0.9694286799946792, 0.9788659722705089, 0.9887090755814238, 0.9989170510982142, 1.0094436772083237, 1.0202375198115037, 1.0312420312119335, 1.0423956804482846, 1.0536321186590754, 1.064880384045913, 1.0760651522549416, 1.0871070396692317, 1.09792296937624, 1.1084266127302231, 1.1185289239249505, 1.128138791578364, 1.1371638412958875, 1.1455114388319212, 1.153089969174999, 1.1598105114378072, 1.1655891120190718, 1.1703500253533925, 1.1740306700150471, 1.1765900618774405, 1.1780260489101035, 1.1784307248505512], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.44694845174326486}

6.865199

1

4.43411

[ [ 0.8828240892864241, 0.8828265547717727, 0.8828501939066234, 0.8829270170759131, 0.8830948729328616, 0.8833947223940202, 0.883869019149817, 0.8845605612056563, 0.8855116063197119, 0.8867631568578263, 0.8883543632098293, 0.8903220153846552, 0.8927001032711247, 0.8955194323521027, 0.8988072855643862, 0.902587124548683, 0.9068783252774576, 0.9116959442859807, 0.9170505126414347, 0.9229478554757076, 0.929388935449598, 0.9363697189562331, 0.9438810642419102, 0.9519086309467556, 0.960432810863479, 0.9694286799946792, 0.9788659722705089, 0.9887090755814238, 0.9989170510982142, 1.0094436772083237, 1.0202375198115037, 1.0312420312119335, 1.0423956804482846, 1.0536321186590754, 1.064880384045913, 1.0760651522549416, 1.0871070396692317, 1.09792296937624, 1.1084266127302231, 1.1185289239249505, 1.128138791578364, 1.1371638412958875, 1.1455114388319212, 1.153089969174999, 1.1598105114378072, 1.1655891120190718, 1.1703500253533925, 1.1740306700150471, 1.1765900618774405, 1.1780260489101035, 1.1784307248505512 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.12963532591447766, -0.3829496958101812, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.446948

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

DUMheGjxa4R8rdtCLtCRbFA

null

false

null

false

DJDLKBV7Y46hKmB5brpE6qA

DYnmAnsPREYL6u2iMfH4TBv

{"qi": 0.006669769628914826, "vacuum_well": -0.10973783063265673, "aspect_ratio": 10.069531541562988, "max_elongation": 5.360593424467773, "average_triangularity": -0.5319093670150346, "axis_magnetic_mirror_ratio": 0.19239102039640651, "edge_magnetic_mirror_ratio": 0.2469833007524421, "aspect_ratio_over_edge_rotational_transform": 53.49070630661989, "flux_compression_in_regions_of_bad_curvature": 1.1384801020743558, "axis_rotational_transform_over_n_field_periods": 0.1118368942865372, "edge_rotational_transform_over_n_field_periods": 0.09412412208433305, "minimum_normalized_magnetic_gradient_scale_length": 5.012004559341753}

10.069532

53.490706

-0.703449

0.192391

0.111837

0.246983

0.094124

1.13848

5.360593

5.012005

0.00667

-0.109738

{"r_cos":[[0.0,0.0,0.0,0.0,0.9929662524525754,-0.13714720977041087,-0.03685535661325945,0.015505442207262146,-0.003440732341911396],[0.000582369767427124,-0.010591075140173474,0.023787480916156276,0.0006321201535720751,0.10486227210586019,-0.015769524853354085,0.022776871068329416,-0.0029553917978502975,-0.00036745636878440433],[-0.001380738891311155,-0.0029014219986772264,-0.010260696127764802,0.009136503953201366,-0.01779631229376684,-0.008973218836464607,0.002056990678005287,0.00023920887632982672,-0.0006646400392571052],[-0.00038906718843978623,0.00011773245482454766,0.00024736907657990745,0.002139690039435889,0.0035869157272491524,-0.0007589596440891852,0.003188240320813148,-0.00009542151980850629,0.00026158845113157414],[0.000013714103538174438,-0.0003994143823985964,0.00026544324123148284,-0.00010115919739875184,-0.00021861152252906219,-0.00004387686255185459,-0.00023739129426965245,-0.00015996864270352188,-0.00001932076715731689]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.11121197424781024,0.03492884294218917,-0.009004592514325692,0.002029957637604418],[0.0008094033228830625,-0.002349787681195726,0.03547972363459301,-0.0861371263152021,-0.09436103686077682,0.08945294774730952,-0.015827484942475104,-0.0035064602923133245,0.0001947229066868996],[0.00028662005253622875,-0.0003969631208579392,-0.017118272207061528,-0.0032617331360574315,-0.009200455266634752,-0.00407899551612707,-0.0016582278926790444,0.0017319752185402846,0.0002981651193781253],[-0.0008876522404086236,0.00021281762685138457,-0.0018556878804326603,-0.003703279335651546,0.0020248582811479483,0.003199909882669682,-0.0035428797600650977,0.0009904505629958421,-0.00031271141032567515],[0.0003346450209982327,-0.0002612517320719861,0.000051488896990736386,0.00016867778340725055,-0.0005978672196843151,0.0001333705411045379,0.000021532888767658966,0.00001983188398586844,-0.00008131279794956444]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9929662524525754, -0.13714720977041087, -0.03685535661325945, 0.015505442207262146, -0.003440732341911396 ], [ 0.000582369767427124, -0.010591075140173474, 0.023787480916156276, 0.0006321201535720751, 0.10486227210586019, -0.015769524853354085, 0.022776871068329416, -0.0029553917978502975, -0.00036745636878440433 ], [ -0.001380738891311155, -0.0029014219986772264, -0.010260696127764802, 0.009136503953201366, -0.01779631229376684, -0.008973218836464607, 0.002056990678005287, 0.00023920887632982672, -0.0006646400392571052 ], [ -0.00038906718843978623, 0.00011773245482454766, 0.00024736907657990745, 0.002139690039435889, 0.0035869157272491524, -0.0007589596440891852, 0.003188240320813148, -0.00009542151980850629, 0.00026158845113157414 ], [ 0.000013714103538174438, -0.0003994143823985964, 0.00026544324123148284, -0.00010115919739875184, -0.00021861152252906219, -0.00004387686255185459, -0.00023739129426965245, -0.00015996864270352188, -0.00001932076715731689 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.11121197424781024, 0.03492884294218917, -0.009004592514325692, 0.002029957637604418 ], [ 0.0008094033228830625, -0.002349787681195726, 0.03547972363459301, -0.0861371263152021, -0.09436103686077682, 0.08945294774730952, -0.015827484942475104, -0.0035064602923133245, 0.0001947229066868996 ], [ 0.00028662005253622875, -0.0003969631208579392, -0.017118272207061528, -0.0032617331360574315, -0.009200455266634752, -0.00407899551612707, -0.0016582278926790444, 0.0017319752185402846, 0.0002981651193781253 ], [ -0.0008876522404086236, 0.00021281762685138457, -0.0018556878804326603, -0.003703279335651546, 0.0020248582811479483, 0.003199909882669682, -0.0035428797600650977, 0.0009904505629958421, -0.00031271141032567515 ], [ 0.0003346450209982327, -0.0002612517320719861, 0.000051488896990736386, 0.00016867778340725055, -0.0005978672196843151, 0.0001333705411045379, 0.000021532888767658966, 0.00001983188398586844, -0.00008131279794956444 ] ]

D8MqCobR2shExamEfQYuaYY

{"aspect_ratio": 10.486906060750055, "major_radius": 1.0, "max_elongation": 4.948652110269649, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.14963549814085586, -0.2758645852186211, 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": [[0.8670293153857687, 0.8670293208429519, 0.8670295172224669, 0.8670309663626115, 0.8670365945134881, 0.8670521849104162, 0.867087294922196, 0.8671560612933331, 0.8672778709532102, 0.8674778823468063, 0.8677873870095435, 0.8682440044846366, 0.8688917062567492, 0.8697806664569417, 0.8709669388561923, 0.8725119612169651, 0.874481889486706, 0.8769467656450021, 0.8799795242961701, 0.8836548443625408, 0.888047853507754, 0.8932326942291547, 0.8992809619288358, 0.9062600267302716, 0.9142312523809041, 0.9232481273039098, 0.9333543247744913, 0.944581711345931, 0.9569483250988223, 0.9704563481101818, 0.9850901008367928, 1.0008140900093294, 1.017571146314307, 1.0352806938352295, 1.0538372002575733, 1.0731088656717236, 1.092936619090194, 1.1131335064948447, 1.133484573799628, 1.1537473748082394, 1.1736532716747619, 1.1929097495461294, 1.2112040484195776, 1.228208542901473, 1.2435885117549297, 1.2570133122637082, 1.26817269143796, 1.2768015075250625, 1.28272002632728, 1.2859096830499763, 1.2867201617463304], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.23907941393981536}

10.486906

1

4.948652

[ [ 0.8670293153857687, 0.8670293208429519, 0.8670295172224669, 0.8670309663626115, 0.8670365945134881, 0.8670521849104162, 0.867087294922196, 0.8671560612933331, 0.8672778709532102, 0.8674778823468063, 0.8677873870095435, 0.8682440044846366, 0.8688917062567492, 0.8697806664569417, 0.8709669388561923, 0.8725119612169651, 0.874481889486706, 0.8769467656450021, 0.8799795242961701, 0.8836548443625408, 0.888047853507754, 0.8932326942291547, 0.8992809619288358, 0.9062600267302716, 0.9142312523809041, 0.9232481273039098, 0.9333543247744913, 0.944581711345931, 0.9569483250988223, 0.9704563481101818, 0.9850901008367928, 1.0008140900093294, 1.017571146314307, 1.0352806938352295, 1.0538372002575733, 1.0731088656717236, 1.092936619090194, 1.1131335064948447, 1.133484573799628, 1.1537473748082394, 1.1736532716747619, 1.1929097495461294, 1.2112040484195776, 1.228208542901473, 1.2435885117549297, 1.2570133122637082, 1.26817269143796, 1.2768015075250625, 1.28272002632728, 1.2859096830499763, 1.2867201617463304 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.14963549814085586, -0.2758645852186211, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.239079

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

D7K52M4SrW4rDLHZ3Ts77o6

null

false

null

false

DVL5yx27A4poisUXkwrziLW

DcueWGbHi2iZcC2RSc7xRJH

{"qi": 0.011313820775580675, "vacuum_well": -0.2520168394814334, "aspect_ratio": 9.648737010759243, "max_elongation": 6.731268707864913, "average_triangularity": 0.20315320762340386, "axis_magnetic_mirror_ratio": 0.2894911680768657, "edge_magnetic_mirror_ratio": 0.4313288221242785, "aspect_ratio_over_edge_rotational_transform": 8.140880069649821, "flux_compression_in_regions_of_bad_curvature": 1.3156747054081142, "axis_rotational_transform_over_n_field_periods": 0.20298861312454594, "edge_rotational_transform_over_n_field_periods": 0.3950734616818188, "minimum_normalized_magnetic_gradient_scale_length": 4.657378049481134}

9.648737

8.14088

0.293761

0.289491

0.202989

0.431329

0.395073

1.315675

6.731269

4.657378

0.011314

-0.252017

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.013816111990008383,-0.048395061906540776,-0.006645244692980132,0.0010415782278588746],[-0.002845815570003374,-0.014580783763723352,0.06983439036596445,-0.025551193391696207,0.11128759758247651,-0.03459197274616842,-0.021310529411545976,-0.00516991428094526,-0.0012460649758726432],[-0.0026921945424729626,0.0006088967704515187,0.017039308082338292,-0.005473897395354924,-0.009020092281995493,-0.0002564109191842824,0.0003062526889439504,0.0004933347983962698,-0.00022302993606636268],[0.0017746490492409417,-0.0019532050140029285,0.0006183618557629302,-0.004754261616756197,0.004760312304043035,0.0026905373206691165,-0.0002773120177531303,-0.0006008214200072076,-0.0003662192100584837],[0.00016813823865048752,-0.001386830940228504,0.0006588246775875921,0.0009766940011011957,-0.000552197585493774,-0.0009716235929523205,-0.00041239553403127913,-0.00011217820757370659,0.00006885589224888306]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03694166726465428,0.019380074043080477,-0.003921544496261429,-0.0016631896165437022],[-0.0015595160449712697,0.0034090396389043747,0.06046200474400408,-0.0015302933854671776,-0.1427594461588531,-0.02965418139380332,0.008258214584806106,0.005052003865267845,0.001212202204384232],[-0.0016154954025144413,0.005321750429663676,0.005020150186161573,-0.012467169348649559,-0.0036871179668920696,0.0015528853725815667,0.00010815662789697214,-0.00035480605110299124,0.00019762713088905212],[0.0020597545935651385,-0.005005155610549015,-0.007903244007471335,0.014347042990453335,0.0016262971865129835,-0.004583504298212744,-0.0021393780443768676,-0.0002683950921285442,0.00017437910238369994],[-0.000630161148680843,0.0016042776448668772,-0.00044521663402458654,-0.0004780865153776702,-0.0005634055049917545,0.00019878780963216225,0.000530612027643594,0.00021508336073472803,0.00003205403886486586]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.013816111990008383, -0.048395061906540776, -0.006645244692980132, 0.0010415782278588746 ], [ -0.002845815570003374, -0.014580783763723352, 0.06983439036596445, -0.025551193391696207, 0.11128759758247651, -0.03459197274616842, -0.021310529411545976, -0.00516991428094526, -0.0012460649758726432 ], [ -0.0026921945424729626, 0.0006088967704515187, 0.017039308082338292, -0.005473897395354924, -0.009020092281995493, -0.0002564109191842824, 0.0003062526889439504, 0.0004933347983962698, -0.00022302993606636268 ], [ 0.0017746490492409417, -0.0019532050140029285, 0.0006183618557629302, -0.004754261616756197, 0.004760312304043035, 0.0026905373206691165, -0.0002773120177531303, -0.0006008214200072076, -0.0003662192100584837 ], [ 0.00016813823865048752, -0.001386830940228504, 0.0006588246775875921, 0.0009766940011011957, -0.000552197585493774, -0.0009716235929523205, -0.00041239553403127913, -0.00011217820757370659, 0.00006885589224888306 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03694166726465428, 0.019380074043080477, -0.003921544496261429, -0.0016631896165437022 ], [ -0.0015595160449712697, 0.0034090396389043747, 0.06046200474400408, -0.0015302933854671776, -0.1427594461588531, -0.02965418139380332, 0.008258214584806106, 0.005052003865267845, 0.001212202204384232 ], [ -0.0016154954025144413, 0.005321750429663676, 0.005020150186161573, -0.012467169348649559, -0.0036871179668920696, 0.0015528853725815667, 0.00010815662789697214, -0.00035480605110299124, 0.00019762713088905212 ], [ 0.0020597545935651385, -0.005005155610549015, -0.007903244007471335, 0.014347042990453335, 0.0016262971865129835, -0.004583504298212744, -0.0021393780443768676, -0.0002683950921285442, 0.00017437910238369994 ], [ -0.000630161148680843, 0.0016042776448668772, -0.00044521663402458654, -0.0004780865153776702, -0.0005634055049917545, 0.00019878780963216225, 0.000530612027643594, 0.00021508336073472803, 0.00003205403886486586 ] ]

DD3oi3GVGzDbbRGyq4MjiSX

{"aspect_ratio": 10.116630040857757, "major_radius": 1.0, "max_elongation": 6.428769876122221, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.3476282239013902, -0.2266404544270134, 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": [[0.6931796238920622, 0.6931797008727199, 0.6931820729971359, 0.6931977925375228, 0.6932538489546077, 0.6933982228772846, 0.6937028680837893, 0.694264798427525, 0.6952054899533116, 0.6966688207429413, 0.6988177743209751, 0.701830130901788, 0.7058933662186848, 0.7111989710975283, 0.717936396859077, 0.7262868223810051, 0.7364169284272456, 0.7484728537912348, 0.7625744959867088, 0.7788103067090874, 0.7972327191135874, 0.8178543301269371, 0.8406449465275703, 0.8655295883815972, 0.8923875275841023, 0.9210524226910544, 0.951313593887563, 0.982918463760684, 1.0155761704507684, 1.0489623396465144, 1.0827249806440653, 1.116491449158798, 1.1498763955714724, 1.1824905915708517, 1.2139505004208133, 1.24388842594206, 1.2719630422477375, 1.2978700696308336, 1.321352820849334, 1.342212295115492, 1.3603164425478889, 1.3756081570154934, 1.3881114761235946, 1.3979353671090105, 1.4052743458642056, 1.410404994111818, 1.413677170337996, 1.4154982759595667, 1.4163081504166026, 1.4165404577651035, 1.4165612033946462], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5553972962753067}

10.11663

1

6.42877

[ [ 0.6931796238920622, 0.6931797008727199, 0.6931820729971359, 0.6931977925375228, 0.6932538489546077, 0.6933982228772846, 0.6937028680837893, 0.694264798427525, 0.6952054899533116, 0.6966688207429413, 0.6988177743209751, 0.701830130901788, 0.7058933662186848, 0.7111989710975283, 0.717936396859077, 0.7262868223810051, 0.7364169284272456, 0.7484728537912348, 0.7625744959867088, 0.7788103067090874, 0.7972327191135874, 0.8178543301269371, 0.8406449465275703, 0.8655295883815972, 0.8923875275841023, 0.9210524226910544, 0.951313593887563, 0.982918463760684, 1.0155761704507684, 1.0489623396465144, 1.0827249806440653, 1.116491449158798, 1.1498763955714724, 1.1824905915708517, 1.2139505004208133, 1.24388842594206, 1.2719630422477375, 1.2978700696308336, 1.321352820849334, 1.342212295115492, 1.3603164425478889, 1.3756081570154934, 1.3881114761235946, 1.3979353671090105, 1.4052743458642056, 1.410404994111818, 1.413677170337996, 1.4154982759595667, 1.4163081504166026, 1.4165404577651035, 1.4165612033946462 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.3476282239013902, -0.2266404544270134, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.555397

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

DWynsCsjJ8cKEU7ZYM77T3o

null

false

null

false

D9Xevn7chzPFVniQxKrbj5T

DUs5Tian7ki97C3DSrtKWa3

{"qi": 0.0007051186227443914, "vacuum_well": -0.10825805115585074, "aspect_ratio": 9.175825040536054, "max_elongation": 7.651123471486881, "average_triangularity": -0.30729142067731635, "axis_magnetic_mirror_ratio": 0.39708703214741525, "edge_magnetic_mirror_ratio": 0.42129891084032983, "aspect_ratio_over_edge_rotational_transform": 20.399142477776337, "flux_compression_in_regions_of_bad_curvature": 1.5568597796649453, "axis_rotational_transform_over_n_field_periods": 0.3025394365592816, "edge_rotational_transform_over_n_field_periods": 0.4498142532477811, "minimum_normalized_magnetic_gradient_scale_length": 1.7887007672543849}

9.175825

20.399142

-0.50019

0.397087

0.302539

0.421299

0.449814

1.55686

7.651123

1.788701

0.000705

-0.108258

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.06513324362100713,-0.24415161645870695,0.001829385561242399,0.018831046906295522],[-0.007671077384239427,0.0025386134586467156,0.07201238789518606,-0.018586944805037732,0.08439056458626605,-0.009129170624203296,-0.030767011560908154,-0.001880379618392966,0.003606310445619576],[-0.007218632652630233,0.013730777851930154,-0.0017722896207878554,-0.000643257306795899,-0.03676679161242301,-0.007559694264561812,0.007473394834815378,0.00173672922815996,-0.0005637333939519738],[0.0063860523293630565,-0.0035800808776476523,-0.004237684454727613,-0.007079341580939918,0.0015977486668255529,0.0007347190834725873,0.0015012306072069873,-0.000014794773506350382,-0.00042542873921243025],[0.00014318863626595066,-0.0007942928704525028,0.00011600117438038906,0.00007740560592396208,0.0011309843970111876,-0.00041984213679891,0.00004009768695088224,-0.00005772291597539846,-0.00008180702963763894]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.020821099171580936,0.16712425289924668,-0.0034827485000286707,-0.024035694847441873],[0.0008650277705355086,0.0003654289472740787,0.0677804503182344,0.009464890655615616,-0.18198624991732493,0.016521451737629412,0.018466365644741016,0.0011878430146056438,-0.0005401947159757057],[-0.00901255735005979,0.01046277185364186,-0.018239007122044446,0.004622653692984513,0.013790448472189033,0.005896546626997538,-0.0031295745109735295,-0.001185415025675816,0.0011677391842372774],[0.003490707679779833,-0.0010379311757260574,-0.0041703423801730845,0.004108842434779986,-0.0021310592052893535,0.000063519736530601,-0.000055035656570900666,0.00010354239337878428,0.00030365030906814926],[0.0009073241751646987,-0.00047524501618816627,-0.0004344670816014764,-0.00042144873392388905,-0.0008736819908391444,0.0005761648763852938,-0.000051620009407595034,0.00011844449515738679,0.000015825704110557096]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.06513324362100713, -0.24415161645870695, 0.001829385561242399, 0.018831046906295522 ], [ -0.007671077384239427, 0.0025386134586467156, 0.07201238789518606, -0.018586944805037732, 0.08439056458626605, -0.009129170624203296, -0.030767011560908154, -0.001880379618392966, 0.003606310445619576 ], [ -0.007218632652630233, 0.013730777851930154, -0.0017722896207878554, -0.000643257306795899, -0.03676679161242301, -0.007559694264561812, 0.007473394834815378, 0.00173672922815996, -0.0005637333939519738 ], [ 0.0063860523293630565, -0.0035800808776476523, -0.004237684454727613, -0.007079341580939918, 0.0015977486668255529, 0.0007347190834725873, 0.0015012306072069873, -0.000014794773506350382, -0.00042542873921243025 ], [ 0.00014318863626595066, -0.0007942928704525028, 0.00011600117438038906, 0.00007740560592396208, 0.0011309843970111876, -0.00041984213679891, 0.00004009768695088224, -0.00005772291597539846, -0.00008180702963763894 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.020821099171580936, 0.16712425289924668, -0.0034827485000286707, -0.024035694847441873 ], [ 0.0008650277705355086, 0.0003654289472740787, 0.0677804503182344, 0.009464890655615616, -0.18198624991732493, 0.016521451737629412, 0.018466365644741016, 0.0011878430146056438, -0.0005401947159757057 ], [ -0.00901255735005979, 0.01046277185364186, -0.018239007122044446, 0.004622653692984513, 0.013790448472189033, 0.005896546626997538, -0.0031295745109735295, -0.001185415025675816, 0.0011677391842372774 ], [ 0.003490707679779833, -0.0010379311757260574, -0.0041703423801730845, 0.004108842434779986, -0.0021310592052893535, 0.000063519736530601, -0.000055035656570900666, 0.00010354239337878428, 0.00030365030906814926 ], [ 0.0009073241751646987, -0.00047524501618816627, -0.0004344670816014764, -0.00042144873392388905, -0.0008736819908391444, 0.0005761648763852938, -0.000051620009407595034, 0.00011844449515738679, 0.000015825704110557096 ] ]

DgCZSJUhMUp3UfdUv9Dao8M

{"aspect_ratio": 9.766639176978327, "major_radius": 1.0, "max_elongation": 6.957052982751878, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.30605225818914206, -0.13943847592249653, 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": [[0.6642617241121801, 0.6642618138335559, 0.6642642818334343, 0.6642796072097444, 0.664332027774881, 0.6644632686814096, 0.6647347785580535, 0.665228707532001, 0.6660478014121677, 0.6673143572699364, 0.66916836855875, 0.6717649766413145, 0.6752713375711853, 0.6798630069407745, 0.6857199408702987, 0.6930222073642178, 0.701945499047389, 0.7126565355436285, 0.7253084413584954, 0.7400361829930728, 0.7569521470851689, 0.7761419396021776, 0.7976604844591761, 0.8215284983768699, 0.8477294173015153, 0.8762068482607168, 0.9068626191044955, 0.9395554971603695, 0.974100646394076, 1.0102698911922412, 1.0477928533453595, 1.086359027180265, 1.1256208560361345, 1.165197871353468, 1.2046819534952031, 1.2436437709688137, 1.281640451866829, 1.3182245379499637, 1.3529542676608237, 1.3854052291811532, 1.4151834179833789, 1.4419397244736503, 1.4653858651277956, 1.4853117530117363, 1.5016042771792306, 1.5142674182073166, 1.5234435543368194, 1.5294356742940587, 1.532729910949977, 1.5340169927487761, 1.5342077386059496], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.1519814119432656}

9.766639

1

6.957053

[ [ 0.6642617241121801, 0.6642618138335559, 0.6642642818334343, 0.6642796072097444, 0.664332027774881, 0.6644632686814096, 0.6647347785580535, 0.665228707532001, 0.6660478014121677, 0.6673143572699364, 0.66916836855875, 0.6717649766413145, 0.6752713375711853, 0.6798630069407745, 0.6857199408702987, 0.6930222073642178, 0.701945499047389, 0.7126565355436285, 0.7253084413584954, 0.7400361829930728, 0.7569521470851689, 0.7761419396021776, 0.7976604844591761, 0.8215284983768699, 0.8477294173015153, 0.8762068482607168, 0.9068626191044955, 0.9395554971603695, 0.974100646394076, 1.0102698911922412, 1.0477928533453595, 1.086359027180265, 1.1256208560361345, 1.165197871353468, 1.2046819534952031, 1.2436437709688137, 1.281640451866829, 1.3182245379499637, 1.3529542676608237, 1.3854052291811532, 1.4151834179833789, 1.4419397244736503, 1.4653858651277956, 1.4853117530117363, 1.5016042771792306, 1.5142674182073166, 1.5234435543368194, 1.5294356742940587, 1.532729910949977, 1.5340169927487761, 1.5342077386059496 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.30605225818914206, -0.13943847592249653, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.151981

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

D8UUM8iPGSkUfWYmCye8uEG

null

false

null

false

DW2WviT8igkC6xT32wywvBt

DRoob9mTXBkiJ2bfcFftMZt

{"qi": 0.0038231407055984413, "vacuum_well": -0.21520831889431963, "aspect_ratio": 9.907449310329884, "max_elongation": 3.6396734662533787, "average_triangularity": -0.40757637107215594, "axis_magnetic_mirror_ratio": 0.27556443861799623, "edge_magnetic_mirror_ratio": 0.3623531612482159, "aspect_ratio_over_edge_rotational_transform": 20.405235975150738, "flux_compression_in_regions_of_bad_curvature": 0.6474810331787094, "axis_rotational_transform_over_n_field_periods": 0.15347118731690476, "edge_rotational_transform_over_n_field_periods": 0.09710693198936844, "minimum_normalized_magnetic_gradient_scale_length": 5.956831816560123}

9.907449

20.405236

-0.746904

0.275564

0.153471

0.362353

0.097107

0.647481

3.639673

5.956832

0.003823

-0.215208

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.05082520850353957,-0.004086611973034895,0.0025193663450655576,0.0006299320872914871],[-0.0014710680496959352,-0.000986904444216377,0.02081441050415613,-0.0056947124085682185,0.09206409431675275,-0.009031624677139393,-0.006000647759078014,0.000855098990397106,-0.00040337108547667405],[0.0008931804738491206,-0.0012963767105654328,-0.016620294069149638,0.017913251075061587,-0.0016509571592953599,0.000054983735330709285,-0.0036825335577718383,0.0009880673707821361,0.0000635966047716636],[-0.000800028944519805,-0.0010762821980887533,0.005761726978385296,-0.0003554064677228993,0.0031052347842985533,-0.0011630861509294272,0.0002662470907953164,0.00004065627075297551,-8.091019264843248e-6],[0.00039822139755610797,0.0007348244409371952,-0.0007346447147990359,0.00005668956366450175,-0.0005167977167946517,0.00017755500484382004,-0.0003384097874170968,0.0001570391366923374,2.538176300720071e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.017317180455971224,0.004867215230726597,-0.0000764634563560438,-0.000565762543368124],[-0.0009828495397868283,-0.0008910278709647366,0.024802441407145638,-0.011635245169669222,-0.12547946049179337,0.04061526980294622,-0.0017052781935900808,-0.0005752508427885511,0.0001733549112537152],[0.0011669033134210135,-0.000649601245027156,-0.019684798195835372,0.001089815977045229,-0.013383479219775354,0.0051976499905967335,0.0026021549765639033,-0.0014867418429572344,0.00019198184590914642],[-0.0006597003267455302,-0.0006194599910700402,0.0035833864173770618,-0.003272888241981161,-0.0005789044235953353,-0.0008256446724637131,0.00029674483192314413,0.00003131316019154264,0.00002374553442622499],[0.0002390642283961659,-0.00004857393451389564,-0.00001547451607515127,-0.0005193586760808653,-0.00022478621326373682,0.00035831947225414563,0.00009526051286573773,0.000015138579460734089,-0.000050667477489800637]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.05082520850353957, -0.004086611973034895, 0.0025193663450655576, 0.0006299320872914871 ], [ -0.0014710680496959352, -0.000986904444216377, 0.02081441050415613, -0.0056947124085682185, 0.09206409431675275, -0.009031624677139393, -0.006000647759078014, 0.000855098990397106, -0.00040337108547667405 ], [ 0.0008931804738491206, -0.0012963767105654328, -0.016620294069149638, 0.017913251075061587, -0.0016509571592953599, 0.000054983735330709285, -0.0036825335577718383, 0.0009880673707821361, 0.0000635966047716636 ], [ -0.000800028944519805, -0.0010762821980887533, 0.005761726978385296, -0.0003554064677228993, 0.0031052347842985533, -0.0011630861509294272, 0.0002662470907953164, 0.00004065627075297551, -0.000008091019264843248 ], [ 0.00039822139755610797, 0.0007348244409371952, -0.0007346447147990359, 0.00005668956366450175, -0.0005167977167946517, 0.00017755500484382004, -0.0003384097874170968, 0.0001570391366923374, 0.000002538176300720071 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.017317180455971224, 0.004867215230726597, -0.0000764634563560438, -0.000565762543368124 ], [ -0.0009828495397868283, -0.0008910278709647366, 0.024802441407145638, -0.011635245169669222, -0.12547946049179337, 0.04061526980294622, -0.0017052781935900808, -0.0005752508427885511, 0.0001733549112537152 ], [ 0.0011669033134210135, -0.000649601245027156, -0.019684798195835372, 0.001089815977045229, -0.013383479219775354, 0.0051976499905967335, 0.0026021549765639033, -0.0014867418429572344, 0.00019198184590914642 ], [ -0.0006597003267455302, -0.0006194599910700402, 0.0035833864173770618, -0.003272888241981161, -0.0005789044235953353, -0.0008256446724637131, 0.00029674483192314413, 0.00003131316019154264, 0.00002374553442622499 ], [ 0.0002390642283961659, -0.00004857393451389564, -0.00001547451607515127, -0.0005193586760808653, -0.00022478621326373682, 0.00035831947225414563, 0.00009526051286573773, 0.000015138579460734089, -0.000050667477489800637 ] ]

DeosBTectges57CsKTsu54R

{"aspect_ratio": 10.643791846005897, "major_radius": 1.0, "max_elongation": 6.166340732444867, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.14019121912497823, 0.011542300254527172, 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": [[0.7628208449984692, 0.762820854518624, 0.7628212151153195, 0.7628239560671838, 0.7628348096936626, 0.7628652834750429, 0.7629345815046917, 0.7630712743452374, 0.7633146550468985, 0.7637157408961412, 0.7643378949195261, 0.7652570517309581, 0.7665615405686768, 0.7683515051593388, 0.7707379258581715, 0.7738412546524748, 0.7777896782851983, 0.7827170291003885, 0.7887603673407022, 0.796057262623659, 0.8047428062583831, 0.8149463900004686, 0.8267882908374758, 0.8403761055090733, 0.8558010827540913, 0.8731344058074919, 0.8924234825181178, 0.9136883057107098, 0.9369179521786838, 0.9620672950978681, 0.9890540118598257, 1.017755977546765, 1.048009143782704, 1.079606013861652, 1.1122948383654196, 1.1457796716193553, 1.1797214492473083, 1.2137402721482535, 1.2474191144466538, 1.2803092154286193, 1.3119374729552558, 1.3418162361108568, 1.369456011039022, 1.3943817694186156, 1.4161538279780634, 1.43439473960442, 1.4488245024193682, 1.4593081592527137, 1.4659240503679267, 1.4690736363654056, 1.4697190436090661], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6619441464962071}

10.643792

1

6.166341

[ [ 0.7628208449984692, 0.762820854518624, 0.7628212151153195, 0.7628239560671838, 0.7628348096936626, 0.7628652834750429, 0.7629345815046917, 0.7630712743452374, 0.7633146550468985, 0.7637157408961412, 0.7643378949195261, 0.7652570517309581, 0.7665615405686768, 0.7683515051593388, 0.7707379258581715, 0.7738412546524748, 0.7777896782851983, 0.7827170291003885, 0.7887603673407022, 0.796057262623659, 0.8047428062583831, 0.8149463900004686, 0.8267882908374758, 0.8403761055090733, 0.8558010827540913, 0.8731344058074919, 0.8924234825181178, 0.9136883057107098, 0.9369179521786838, 0.9620672950978681, 0.9890540118598257, 1.017755977546765, 1.048009143782704, 1.079606013861652, 1.1122948383654196, 1.1457796716193553, 1.1797214492473083, 1.2137402721482535, 1.2474191144466538, 1.2803092154286193, 1.3119374729552558, 1.3418162361108568, 1.369456011039022, 1.3943817694186156, 1.4161538279780634, 1.43439473960442, 1.4488245024193682, 1.4593081592527137, 1.4659240503679267, 1.4690736363654056, 1.4697190436090661 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.14019121912497823, 0.011542300254527172, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.661944

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

D7eZh2bXegZ5o6cNTkXPyM6

null

false

null

false

DmP8sunz6pGk2QTAGaWWdL5

DW9jfZJzWWmYfXqxqMGX3vV

{"qi": 0.0082461913328111, "vacuum_well": -0.12773719018244464, "aspect_ratio": 9.877817154700196, "max_elongation": 4.879830037506608, "average_triangularity": 0.04528451158503835, "axis_magnetic_mirror_ratio": 0.1358909362974682, "edge_magnetic_mirror_ratio": 0.21643700495917575, "aspect_ratio_over_edge_rotational_transform": 12.409306626101838, "flux_compression_in_regions_of_bad_curvature": 1.1418926229651787, "axis_rotational_transform_over_n_field_periods": 0.1689165726378012, "edge_rotational_transform_over_n_field_periods": 0.1592001463469863, "minimum_normalized_magnetic_gradient_scale_length": 10.586079559659808}

9.877817

12.409307

-0.218507

0.135891

0.168917

0.216437

0.1592

1.141893

4.87983

10.58608

0.008246

-0.127737

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.010998618385075841,-0.007060413527282203,0.0009539048253352934,-0.000033599428877212],[0.0002767909405731096,-0.000318229714074522,-0.004867566397028018,0.045953703359143984,0.08219251599616863,-0.027646831304372226,-0.0010805363992901769,0.0007376878870031357,0.00006647628746992923],[-0.00029736014419662804,0.0002032120096218126,0.0050553223285908985,-0.03219505415540429,-0.024938637043315368,-0.0043770192494668285,0.0009494001817447841,0.0003769470871689254,-0.00011535200397009479],[0.00012263528740929616,-0.00035604462408661677,0.00033673685645985255,0.011088775567429768,0.0063372250689954215,0.0008051200339518096,0.0005249123622878388,-0.00020055335481680665,-5.295094514672784e-6],[7.173089705617687e-6,0.00006813120638911145,-0.0010409948113211842,-0.0032717877444004484,-0.0027101557046573348,-0.0009685276850339613,0.00013453866751151955,0.00007595810958330954,0.00003595712661607026]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.017424747074284253,0.002654667974675854,-0.0013951579276711371,0.00009886059132043629],[0.00025670642359684054,0.0001584558753875838,0.00012114525626285102,0.043472536514758284,-0.16320240723987778,0.009337029459367457,0.0014956359179418637,-0.0002797168604950273,4.271559785076908e-6],[-0.000175561966382654,-0.0001783916859250489,-0.0026232815734401633,-0.026125459130255685,0.004805141738126823,0.010170238616096798,0.001037712191859499,-0.00016651401857497008,0.00001737361623087111],[-0.00007596239204066838,0.0001715646462055437,0.0005025084878250772,0.006718828098614329,0.002119750754519437,0.001071895830905222,-0.0004894532968631265,0.00003740659299636477,5.51597429568271e-6],[0.000011698218068423544,0.000012307001861559966,-0.000057033189589772823,-0.0006288653640183444,0.0002150026740913903,0.00025139333936082843,0.00006106140313199459,0.00003461814706739995,-0.000011370794713664038]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.010998618385075841, -0.007060413527282203, 0.0009539048253352934, -0.000033599428877212 ], [ 0.0002767909405731096, -0.000318229714074522, -0.004867566397028018, 0.045953703359143984, 0.08219251599616863, -0.027646831304372226, -0.0010805363992901769, 0.0007376878870031357, 0.00006647628746992923 ], [ -0.00029736014419662804, 0.0002032120096218126, 0.0050553223285908985, -0.03219505415540429, -0.024938637043315368, -0.0043770192494668285, 0.0009494001817447841, 0.0003769470871689254, -0.00011535200397009479 ], [ 0.00012263528740929616, -0.00035604462408661677, 0.00033673685645985255, 0.011088775567429768, 0.0063372250689954215, 0.0008051200339518096, 0.0005249123622878388, -0.00020055335481680665, -0.000005295094514672784 ], [ 0.000007173089705617687, 0.00006813120638911145, -0.0010409948113211842, -0.0032717877444004484, -0.0027101557046573348, -0.0009685276850339613, 0.00013453866751151955, 0.00007595810958330954, 0.00003595712661607026 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.017424747074284253, 0.002654667974675854, -0.0013951579276711371, 0.00009886059132043629 ], [ 0.00025670642359684054, 0.0001584558753875838, 0.00012114525626285102, 0.043472536514758284, -0.16320240723987778, 0.009337029459367457, 0.0014956359179418637, -0.0002797168604950273, 0.000004271559785076908 ], [ -0.000175561966382654, -0.0001783916859250489, -0.0026232815734401633, -0.026125459130255685, 0.004805141738126823, 0.010170238616096798, 0.001037712191859499, -0.00016651401857497008, 0.00001737361623087111 ], [ -0.00007596239204066838, 0.0001715646462055437, 0.0005025084878250772, 0.006718828098614329, 0.002119750754519437, 0.001071895830905222, -0.0004894532968631265, 0.00003740659299636477, 0.00000551597429568271 ], [ 0.000011698218068423544, 0.000012307001861559966, -0.000057033189589772823, -0.0006288653640183444, 0.0002150026740913903, 0.00025139333936082843, 0.00006106140313199459, 0.00003461814706739995, -0.000011370794713664038 ] ]

Ddgzo6dgUHmiZTVMDABWvFE

{"aspect_ratio": 9.12098153539843, "major_radius": 1.0, "max_elongation": 4.7585567136499805, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.16246146414239346, 0.021683094829982014, 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": [[0.8496965684172637, 0.849696708552736, 0.8496997548050129, 0.8497160670565227, 0.8497662564497696, 0.849882010182727, 0.8501059385800149, 0.8504907712247591, 0.8510980907835124, 0.8519967337600094, 0.8532609552258184, 0.854968434712319, 0.8571981870758019, 0.8600284325543369, 0.8635344730072897, 0.8677866156635419, 0.8728481811164175, 0.878773628481459, 0.8856068273701324, 0.8933795034842493, 0.9021098820988067, 0.911801551397989, 0.9224425655009233, 0.9340048050130624, 0.9464436110264766, 0.9596977066337073, 0.973689418184086, 0.9883252066686663, 1.0034965177399058, 1.0190809569227128, 1.0349437945183186, 1.0509398024995449, 1.0669154232944247, 1.0827112676910926, 1.0981649360885781, 1.113114153857809, 1.1274002075191842, 1.1408716635861709, 1.1533883459828642, 1.1648255405010097, 1.1750783851932203, 1.1840663929325723, 1.1917380350348505, 1.1980752901844067, 1.2030980261865747, 1.206868024230371, 1.209492357545039, 1.2111256547671547, 1.211970393994743, 1.2122733749272543, 1.212312569774788], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8014617540659584}

9.120982

1

4.758557

[ [ 0.8496965684172637, 0.849696708552736, 0.8496997548050129, 0.8497160670565227, 0.8497662564497696, 0.849882010182727, 0.8501059385800149, 0.8504907712247591, 0.8510980907835124, 0.8519967337600094, 0.8532609552258184, 0.854968434712319, 0.8571981870758019, 0.8600284325543369, 0.8635344730072897, 0.8677866156635419, 0.8728481811164175, 0.878773628481459, 0.8856068273701324, 0.8933795034842493, 0.9021098820988067, 0.911801551397989, 0.9224425655009233, 0.9340048050130624, 0.9464436110264766, 0.9596977066337073, 0.973689418184086, 0.9883252066686663, 1.0034965177399058, 1.0190809569227128, 1.0349437945183186, 1.0509398024995449, 1.0669154232944247, 1.0827112676910926, 1.0981649360885781, 1.113114153857809, 1.1274002075191842, 1.1408716635861709, 1.1533883459828642, 1.1648255405010097, 1.1750783851932203, 1.1840663929325723, 1.1917380350348505, 1.1980752901844067, 1.2030980261865747, 1.206868024230371, 1.209492357545039, 1.2111256547671547, 1.211970393994743, 1.2122733749272543, 1.212312569774788 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.16246146414239346, 0.021683094829982014, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.801462

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

D3oukJ48efHD8gNs9cJW2A5

null

false

null

false

Ded53MHXaqkKssW9Csjczqg

DHZswZWp7tvYueFP4D9tYdx

{"qi": 0.04385230155087341, "vacuum_well": -0.04750077542438583, "aspect_ratio": 9.189234334815058, "max_elongation": 5.486559793579694, "average_triangularity": -0.5205394665394186, "axis_magnetic_mirror_ratio": 0.44307718345409725, "edge_magnetic_mirror_ratio": 0.7208551887216234, "aspect_ratio_over_edge_rotational_transform": 9.058525344649587, "flux_compression_in_regions_of_bad_curvature": 1.0530157212226912, "axis_rotational_transform_over_n_field_periods": 0.23974452897509319, "edge_rotational_transform_over_n_field_periods": 0.20288587789275603, "minimum_normalized_magnetic_gradient_scale_length": 3.7773167344589336}

9.189234

9.058525

-0.773266

0.443077

0.239745

0.720855

0.202886

1.053016

5.48656

3.777317

0.043852

-0.047501

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0576625711792504,-0.021255789146239865,0.0005228983593225612,0.0004685558109186481],[0.0000525607452734597,-0.002417609809667472,0.03259538025666987,0.031561047780448354,0.10051765498049935,-0.016280266464666633,-0.007681448621446884,-0.0003079484344187817,2.288011614828737e-7],[0.00006060659696494019,0.0022348134194873216,-0.024166316086093893,-0.0028180759474665164,-0.00525507824522509,0.005455494754591212,-0.0028653886359631016,-0.0004998961054976446,0.00024102899415103164],[-0.0005476314199732693,-0.0008083712789310037,0.00580808300425271,-0.001430366945125976,-0.000615130813873628,0.0031714095092333816,-0.0010051325530613798,-0.0003772209116248045,0.0001874989431418119],[0.0003588571301670871,-0.0007063231978501245,0.0002960304440556312,0.0003523136344604563,-0.00090316185103513,0.00041690144198412715,-0.0005239298447194001,0.00009250674808826778,0.00006183840098299246]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.03834337931809926,0.011512026986143436,-0.0021552657173950908,0.00019044181618894755],[-0.0002361709433057689,0.0020894317611406974,0.02528669449752979,0.05637347888386324,-0.1534833210509728,-0.012003155207746367,0.009106190495543152,0.0008611224607791856,0.00018331185489228003],[-0.0012038480498224968,0.0007962182317627592,-0.01705780578334048,0.0029429838404071386,-0.01504338858407707,-0.00008863237212979112,0.0036497566143181906,4.047048203378813e-6,-0.0001222726047129686],[-0.00019611497637118152,-0.0012886717050622318,0.0012656781476054336,-0.005376159945461133,0.0017092623948501862,-0.0013655093299088177,0.0003434452461826271,0.00009345955607669657,-0.00004936934731524691],[0.00008182587865474943,0.0005521563095958514,0.0004443656597918314,-0.0003573883558571649,0.00024196408421820742,-0.00035071408208310254,0.00041288350120615884,-0.000031535388990935995,-0.00002631157356654517]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.0576625711792504, -0.021255789146239865, 0.0005228983593225612, 0.0004685558109186481 ], [ 0.0000525607452734597, -0.002417609809667472, 0.03259538025666987, 0.031561047780448354, 0.10051765498049935, -0.016280266464666633, -0.007681448621446884, -0.0003079484344187817, 2.288011614828737e-7 ], [ 0.00006060659696494019, 0.0022348134194873216, -0.024166316086093893, -0.0028180759474665164, -0.00525507824522509, 0.005455494754591212, -0.0028653886359631016, -0.0004998961054976446, 0.00024102899415103164 ], [ -0.0005476314199732693, -0.0008083712789310037, 0.00580808300425271, -0.001430366945125976, -0.000615130813873628, 0.0031714095092333816, -0.0010051325530613798, -0.0003772209116248045, 0.0001874989431418119 ], [ 0.0003588571301670871, -0.0007063231978501245, 0.0002960304440556312, 0.0003523136344604563, -0.00090316185103513, 0.00041690144198412715, -0.0005239298447194001, 0.00009250674808826778, 0.00006183840098299246 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.03834337931809926, 0.011512026986143436, -0.0021552657173950908, 0.00019044181618894755 ], [ -0.0002361709433057689, 0.0020894317611406974, 0.02528669449752979, 0.05637347888386324, -0.1534833210509728, -0.012003155207746367, 0.009106190495543152, 0.0008611224607791856, 0.00018331185489228003 ], [ -0.0012038480498224968, 0.0007962182317627592, -0.01705780578334048, 0.0029429838404071386, -0.01504338858407707, -0.00008863237212979112, 0.0036497566143181906, 0.000004047048203378813, -0.0001222726047129686 ], [ -0.00019611497637118152, -0.0012886717050622318, 0.0012656781476054336, -0.005376159945461133, 0.0017092623948501862, -0.0013655093299088177, 0.0003434452461826271, 0.00009345955607669657, -0.00004936934731524691 ], [ 0.00008182587865474943, 0.0005521563095958514, 0.0004443656597918314, -0.0003573883558571649, 0.00024196408421820742, -0.00035071408208310254, 0.00041288350120615884, -0.000031535388990935995, -0.00002631157356654517 ] ]

Dn5EELydpscG3aNL86fqeSK

{"aspect_ratio": 8.358964302519707, "major_radius": 1.0, "max_elongation": 5.420886856915685, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0005666988583580213, 0.04173349795735059, 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": [[0.7533370051362516, 0.7533388731829671, 0.7533690074049528, 0.7535016043523326, 0.753854025327976, 0.7545759611421948, 0.7558379928114993, 0.7578206150492375, 0.7607041892130307, 0.7646600586850474, 0.7698429407134353, 0.776384638940773, 0.7843890760168036, 0.7939286150891225, 0.8050416171701185, 0.8177311654021909, 0.831964875318298, 0.8476757012171813, 0.8647636420218786, 0.8830982449796136, 0.9025218019526011, 0.9228531306025163, 0.9438918313132334, 0.9654229101012255, 0.9872216579396099, 1.009058677805303, 1.030704952304696, 1.0519368469141563, 1.0725409466745122, 1.0923186276037247, 1.1110902681524353, 1.128699010749348, 1.1450139889085165, 1.1599329415561854, 1.1733841432587526, 1.1853275869985977, 1.195755365186506, 1.20469120489688, 1.2121891251027854, 1.2183311972931592, 1.2232244067157616, 1.2269966302282362, 1.2297917692565206, 1.2317641040058285, 1.2330719699593105, 1.2338709033224853, 1.2343064645793163, 1.2345070405457392, 1.2345770708467434, 1.2345914108096547, 1.2345921652407503], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0997373582953456}

8.358964

1

5.420887

[ [ 0.7533370051362516, 0.7533388731829671, 0.7533690074049528, 0.7535016043523326, 0.753854025327976, 0.7545759611421948, 0.7558379928114993, 0.7578206150492375, 0.7607041892130307, 0.7646600586850474, 0.7698429407134353, 0.776384638940773, 0.7843890760168036, 0.7939286150891225, 0.8050416171701185, 0.8177311654021909, 0.831964875318298, 0.8476757012171813, 0.8647636420218786, 0.8830982449796136, 0.9025218019526011, 0.9228531306025163, 0.9438918313132334, 0.9654229101012255, 0.9872216579396099, 1.009058677805303, 1.030704952304696, 1.0519368469141563, 1.0725409466745122, 1.0923186276037247, 1.1110902681524353, 1.128699010749348, 1.1450139889085165, 1.1599329415561854, 1.1733841432587526, 1.1853275869985977, 1.195755365186506, 1.20469120489688, 1.2121891251027854, 1.2183311972931592, 1.2232244067157616, 1.2269966302282362, 1.2297917692565206, 1.2317641040058285, 1.2330719699593105, 1.2338709033224853, 1.2343064645793163, 1.2345070405457392, 1.2345770708467434, 1.2345914108096547, 1.2345921652407503 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0005666988583580213, 0.04173349795735059, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.099737

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

D95kJhRhEPaJsS4W9zMoFRY

null

false

null

false

DCs2FqxMLgwf6mPcuenVDWs

DMmKf8ZW82DWARNmPcunSci

{"qi": 0.0031970407363527817, "vacuum_well": -0.060394563702787146, "aspect_ratio": 9.910921976406808, "max_elongation": 5.6629801312906265, "average_triangularity": -0.14455313755399773, "axis_magnetic_mirror_ratio": 0.22969653172237495, "edge_magnetic_mirror_ratio": 0.2560524040010545, "aspect_ratio_over_edge_rotational_transform": 42.53851074486919, "flux_compression_in_regions_of_bad_curvature": 0.7481090248237554, "axis_rotational_transform_over_n_field_periods": 0.211984875420899, "edge_rotational_transform_over_n_field_periods": 0.11649352319653339, "minimum_normalized_magnetic_gradient_scale_length": 5.677868428502197}

9.910922

42.538511

-0.450914

0.229697

0.211985

0.256052

0.116494

0.748109

5.66298

5.677868

0.003197

-0.060395

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.00962971700755035,-0.048349861230552904,-0.0070370721224112176,0.0013857376345982443],[0.0000622562199374605,-0.007251974708132736,0.04324648371817254,-0.011549702829644706,0.06466862030940046,-0.01774567153064098,-0.025425113361537705,-0.0015360804490201544,0.0008412737913649695],[-8.722242239105093e-6,0.007508827059651358,-0.012685240601027319,0.005643041272679235,0.002188509992267853,-0.00543382384398902,-0.007019364803686021,0.001369306144494376,0.00059988205208196],[-0.0001428863964404216,-0.0017489665596970342,0.003131849766437302,-0.0026279132971169525,0.0017638023878082437,0.003270730734851632,0.0019578365823726593,0.0006580616197936315,0.000397435087525889],[-0.0001118667699677069,0.00015781830507721463,-0.0013607844413462311,0.00043243872480627256,-0.0043916386786122035,-0.000487332144736086,-0.0007058305547604942,-0.00032987605133576967,0.000012097481951576652]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.035700703961959956,0.014003319335169991,0.0015884253186696725,-0.0011690582791730707],[0.0007609548674225462,-0.00968340155721491,0.026836683073095103,-0.009731474361037155,-0.18411275886236136,-0.013227396969757874,0.014002168290497972,-0.003207550857847138,-0.0009808843953489504],[0.00030649685364611795,0.0023195518531462186,-0.011218837867519791,0.0016213976297480932,-0.008060838899379488,-0.006108538433496773,0.0049632594156776115,-0.0004543357747240261,-0.00024104953430147398],[0.00012709052288691693,-0.00007035594454800433,0.0019200854584848948,0.0002901092177903631,0.01071687473004025,0.0021656827692401446,0.0005474447820535479,0.00026519528145771317,-0.00010510865804074845],[-0.00010096878477431227,0.0000384306828217244,-0.0003109484230012691,0.000027627422035269103,-0.0001001880753606745,-3.960109837021486e-6,0.0002730600517966016,0.00022228521632358482,0.00004634908069913596]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.00962971700755035, -0.048349861230552904, -0.0070370721224112176, 0.0013857376345982443 ], [ 0.0000622562199374605, -0.007251974708132736, 0.04324648371817254, -0.011549702829644706, 0.06466862030940046, -0.01774567153064098, -0.025425113361537705, -0.0015360804490201544, 0.0008412737913649695 ], [ -0.000008722242239105093, 0.007508827059651358, -0.012685240601027319, 0.005643041272679235, 0.002188509992267853, -0.00543382384398902, -0.007019364803686021, 0.001369306144494376, 0.00059988205208196 ], [ -0.0001428863964404216, -0.0017489665596970342, 0.003131849766437302, -0.0026279132971169525, 0.0017638023878082437, 0.003270730734851632, 0.0019578365823726593, 0.0006580616197936315, 0.000397435087525889 ], [ -0.0001118667699677069, 0.00015781830507721463, -0.0013607844413462311, 0.00043243872480627256, -0.0043916386786122035, -0.000487332144736086, -0.0007058305547604942, -0.00032987605133576967, 0.000012097481951576652 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.035700703961959956, 0.014003319335169991, 0.0015884253186696725, -0.0011690582791730707 ], [ 0.0007609548674225462, -0.00968340155721491, 0.026836683073095103, -0.009731474361037155, -0.18411275886236136, -0.013227396969757874, 0.014002168290497972, -0.003207550857847138, -0.0009808843953489504 ], [ 0.00030649685364611795, 0.0023195518531462186, -0.011218837867519791, 0.0016213976297480932, -0.008060838899379488, -0.006108538433496773, 0.0049632594156776115, -0.0004543357747240261, -0.00024104953430147398 ], [ 0.00012709052288691693, -0.00007035594454800433, 0.0019200854584848948, 0.0002901092177903631, 0.01071687473004025, 0.0021656827692401446, 0.0005474447820535479, 0.00026519528145771317, -0.00010510865804074845 ], [ -0.00010096878477431227, 0.0000384306828217244, -0.0003109484230012691, 0.000027627422035269103, -0.0001001880753606745, -0.000003960109837021486, 0.0002730600517966016, 0.00022228521632358482, 0.00004634908069913596 ] ]

DJCXUcM5GLAFtctToY3WUZu

{"aspect_ratio": 11.002098787677166, "major_radius": 1.0, "max_elongation": 5.252751446467417, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05382037021397248, 0.5132464752372992, 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": [[0.8073060583087956, 0.8073060698264748, 0.8073065551817595, 0.8073104585553984, 0.8073264263919698, 0.8073721060662429, 0.8074770003649192, 0.8076846178544477, 0.8080537829061211, 0.8086590469868398, 0.8095901973473133, 0.8109508995288136, 0.812856540689914, 0.8154313641872595, 0.818805003710913, 0.8231085386156368, 0.828470201622482, 0.835010876303908, 0.842839525088127, 0.8520486892079249, 0.8627102002913161, 0.8748712393106952, 0.8885508724990191, 0.9037371856998333, 0.9203851285102679, 0.9384151675473061, 0.9577128342418335, 0.9781292367466946, 0.999482587818982, 1.021560780867146, 1.0441250246816192, 1.0669145236087485, 1.089652163966225, 1.112051139180037, 1.1338224152461744, 1.1546829044200213, 1.1743641781640175, 1.192621509876594, 1.2092429931583597, 1.2240584314882637, 1.236947638979577, 1.2478477276256217, 1.2567588815345379, 1.263748029061091, 1.268949712897407, 1.2725633146962365, 1.2748455933922316, 1.276097201160629, 1.2766413440689142, 1.276791753748957, 1.2768043267663831], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.3801222083491453}

11.002099

1

5.252751

[ [ 0.8073060583087956, 0.8073060698264748, 0.8073065551817595, 0.8073104585553984, 0.8073264263919698, 0.8073721060662429, 0.8074770003649192, 0.8076846178544477, 0.8080537829061211, 0.8086590469868398, 0.8095901973473133, 0.8109508995288136, 0.812856540689914, 0.8154313641872595, 0.818805003710913, 0.8231085386156368, 0.828470201622482, 0.835010876303908, 0.842839525088127, 0.8520486892079249, 0.8627102002913161, 0.8748712393106952, 0.8885508724990191, 0.9037371856998333, 0.9203851285102679, 0.9384151675473061, 0.9577128342418335, 0.9781292367466946, 0.999482587818982, 1.021560780867146, 1.0441250246816192, 1.0669145236087485, 1.089652163966225, 1.112051139180037, 1.1338224152461744, 1.1546829044200213, 1.1743641781640175, 1.192621509876594, 1.2092429931583597, 1.2240584314882637, 1.236947638979577, 1.2478477276256217, 1.2567588815345379, 1.263748029061091, 1.268949712897407, 1.2725633146962365, 1.2748455933922316, 1.276097201160629, 1.2766413440689142, 1.276791753748957, 1.2768043267663831 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05382037021397248, 0.5132464752372992, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.380122

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

DPzsmtCuqDNNkgeUoHTN4QV

null

false

null

false

DVhrHSYN5GGSNYsZFAMUr6K

DW6etSmP5GUHDPf26W94ScP

{"qi": 0.0029476537548225224, "vacuum_well": -0.14991252196094973, "aspect_ratio": 9.810670147488333, "max_elongation": 6.6731829527514215, "average_triangularity": 0.04041387957928466, "axis_magnetic_mirror_ratio": 0.2566475851617358, "edge_magnetic_mirror_ratio": 0.3716461285683551, "aspect_ratio_over_edge_rotational_transform": 9.338751231250422, "flux_compression_in_regions_of_bad_curvature": 1.2968309215145093, "axis_rotational_transform_over_n_field_periods": 0.22696840053435915, "edge_rotational_transform_over_n_field_periods": 0.21010668138709426, "minimum_normalized_magnetic_gradient_scale_length": 8.284873235038667}

9.81067

9.338751

0.173524

0.256648

0.226968

0.371646

0.210107

1.296831

6.673183

8.284873

0.002948

-0.149913

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.04474232773733391,0.003275529450974593,-0.00033458033413059045,-0.00024912147577590965],[0.00017827685130030596,0.0017000630075643818,-0.012839269915318223,0.07351973045972235,0.08901299481817461,-0.03441770393573643,0.009915264473798717,-0.0027158087608573204,0.0005933577449033319],[0.0002743829260559235,0.0013034141660616663,0.003096109026849604,-0.03094772573962044,0.010662248800488739,-0.01175214194947911,0.001977061831943458,-0.0004773175896622224,0.00018541022590455011],[-0.00014661816755678856,-0.0008755192265612565,-0.0016724955202147703,0.004798525518361311,0.0028229854660219212,-0.003139007920733802,0.0012266067710843176,0.00020568619137084523,-0.00007400262695183283],[-0.00016066686155521986,-0.00018922296886855734,0.0007617546403077748,-0.0007967385713221215,-0.001163478120573537,0.00024147803641413022,0.00014882168069223336,0.000046251035998023154,-0.000039369085214037326]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.006626996145635981,0.0007047929525473916,-0.0006901642865833447,0.00045681626665502323],[-0.0005542074154558378,0.000365211941466445,0.0033165899874643204,0.05600439120341743,-0.16397689581703065,0.046203503024137664,-0.00793312452952989,-0.00003925973291980407,-0.00011354947272432903],[0.00039068372501718557,-0.001214010953699464,0.0007358080854501965,-0.029090618394446377,-0.008832993098455408,0.017274226759639404,-0.006890725501718058,0.0014334108003073436,-0.000215133430683128],[7.547666044793314e-6,0.00030153115823018813,-0.005483345721247961,-0.0015936439249504982,0.0015072826571886427,0.0012439819604746606,-0.0017225122886559685,0.0004426744381582394,-0.00007802238176021837],[0.0000177040132313095,0.0002792189612862644,0.001060847681060738,0.00006404132748685471,0.00040321497044146313,-9.49507179949483e-6,-0.0001878034660490803,0.00010038460756451094,-9.759309984067844e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.04474232773733391, 0.003275529450974593, -0.00033458033413059045, -0.00024912147577590965 ], [ 0.00017827685130030596, 0.0017000630075643818, -0.012839269915318223, 0.07351973045972235, 0.08901299481817461, -0.03441770393573643, 0.009915264473798717, -0.0027158087608573204, 0.0005933577449033319 ], [ 0.0002743829260559235, 0.0013034141660616663, 0.003096109026849604, -0.03094772573962044, 0.010662248800488739, -0.01175214194947911, 0.001977061831943458, -0.0004773175896622224, 0.00018541022590455011 ], [ -0.00014661816755678856, -0.0008755192265612565, -0.0016724955202147703, 0.004798525518361311, 0.0028229854660219212, -0.003139007920733802, 0.0012266067710843176, 0.00020568619137084523, -0.00007400262695183283 ], [ -0.00016066686155521986, -0.00018922296886855734, 0.0007617546403077748, -0.0007967385713221215, -0.001163478120573537, 0.00024147803641413022, 0.00014882168069223336, 0.000046251035998023154, -0.000039369085214037326 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.006626996145635981, 0.0007047929525473916, -0.0006901642865833447, 0.00045681626665502323 ], [ -0.0005542074154558378, 0.000365211941466445, 0.0033165899874643204, 0.05600439120341743, -0.16397689581703065, 0.046203503024137664, -0.00793312452952989, -0.00003925973291980407, -0.00011354947272432903 ], [ 0.00039068372501718557, -0.001214010953699464, 0.0007358080854501965, -0.029090618394446377, -0.008832993098455408, 0.017274226759639404, -0.006890725501718058, 0.0014334108003073436, -0.000215133430683128 ], [ 0.000007547666044793314, 0.00030153115823018813, -0.005483345721247961, -0.0015936439249504982, 0.0015072826571886427, 0.0012439819604746606, -0.0017225122886559685, 0.0004426744381582394, -0.00007802238176021837 ], [ 0.0000177040132313095, 0.0002792189612862644, 0.001060847681060738, 0.00006404132748685471, 0.00040321497044146313, -0.00000949507179949483, -0.0001878034660490803, 0.00010038460756451094, -0.000009759309984067844 ] ]

DWgPECkXEGHdEekHsGTC7wb

{"aspect_ratio": 11.162395616905119, "major_radius": 1.0, "max_elongation": 6.271111150997369, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.23778071230643835, 0.1869312152796931, 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": [[0.7005748573126094, 0.7005748783061793, 0.7005758054283672, 0.7005834456310595, 0.7006151317150021, 0.700706461364686, 0.7009169160318416, 0.7013337380826916, 0.7020737719398804, 0.7032831867855742, 0.7051351464724325, 0.7078255987559674, 0.711567432493611, 0.716583305051964, 0.7230974774133061, 0.7313270145954511, 0.7414727163794712, 0.7537101398224952, 0.76818106209947, 0.7849857110976765, 0.8041760629300579, 0.8257504710567516, 0.8496498518321132, 0.8757556067813144, 0.903889413461444, 0.9338149650490232, 0.96524168447145, 0.9978303826091428, 1.0312007724869474, 1.0649406931119794, 1.0986168383923327, 1.1317867291201484, 1.1640116101140656, 1.1948699011582384, 1.2239707803187656, 1.2509674326704436, 1.2755694577146688, 1.297553896343051, 1.316774314961009, 1.3331673726499638, 1.3467562999862486, 1.357650739273041, 1.3660424408437128, 1.372196386395968, 1.3764370294032182, 1.3791295224918847, 1.3806560726776875, 1.381387983808171, 1.3816546291500313, 1.3817118404099813, 1.3817150215474046], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0891457416284678}

11.162396

1

6.271111

[ [ 0.7005748573126094, 0.7005748783061793, 0.7005758054283672, 0.7005834456310595, 0.7006151317150021, 0.700706461364686, 0.7009169160318416, 0.7013337380826916, 0.7020737719398804, 0.7032831867855742, 0.7051351464724325, 0.7078255987559674, 0.711567432493611, 0.716583305051964, 0.7230974774133061, 0.7313270145954511, 0.7414727163794712, 0.7537101398224952, 0.76818106209947, 0.7849857110976765, 0.8041760629300579, 0.8257504710567516, 0.8496498518321132, 0.8757556067813144, 0.903889413461444, 0.9338149650490232, 0.96524168447145, 0.9978303826091428, 1.0312007724869474, 1.0649406931119794, 1.0986168383923327, 1.1317867291201484, 1.1640116101140656, 1.1948699011582384, 1.2239707803187656, 1.2509674326704436, 1.2755694577146688, 1.297553896343051, 1.316774314961009, 1.3331673726499638, 1.3467562999862486, 1.357650739273041, 1.3660424408437128, 1.372196386395968, 1.3764370294032182, 1.3791295224918847, 1.3806560726776875, 1.381387983808171, 1.3816546291500313, 1.3817118404099813, 1.3817150215474046 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.23778071230643835, 0.1869312152796931, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.089146

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

DXxKGCFBdArPNMgWxpH4EK3

null

false

null

false

DWYMbPweYLbFXM7TMXEgj3P

DKjsgbr37tFToWXW9YJYGoA

{"qi": 0.01060971157843519, "vacuum_well": -0.1475000963482722, "aspect_ratio": 10.125395360604301, "max_elongation": 5.086540089409371, "average_triangularity": -0.4427337115266638, "axis_magnetic_mirror_ratio": 0.14546395363327502, "edge_magnetic_mirror_ratio": 0.23890079931587746, "aspect_ratio_over_edge_rotational_transform": 11.877416148400178, "flux_compression_in_regions_of_bad_curvature": 1.1135554778125045, "axis_rotational_transform_over_n_field_periods": 0.22844776260310234, "edge_rotational_transform_over_n_field_periods": 0.2131228550489101, "minimum_normalized_magnetic_gradient_scale_length": 8.275858636216604}

10.125395

11.877416

-0.80064

0.145464

0.228448

0.238901

0.213123

1.113555

5.08654

8.275859

0.01061

-0.1475

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.023649703221545342,-0.01007969028841915,0.0014353315944811698,0.00025103102745202164],[-0.0005822808934197705,0.0003450380760151432,0.018731973654103402,-0.05692340158583245,0.09990651136661899,-0.0025063957028557127,0.0002680929133166369,0.0009618600106845664,0.0003080777210410422],[0.0005707445993433286,-0.005509539034783978,-0.018612988599160375,0.0145657408874,-0.01006509284719913,0.004632763812089812,-0.003293734264637474,-0.000053308416004597264,0.000028884621596304936],[-0.00022285399379908048,0.0036220280895527014,0.00579434798726136,-0.006134303617690148,0.003684000501518972,-0.0015337733561648094,-0.0005371141224221375,-0.0003551515396060332,0.000011661864808641253],[-0.00009225544695174182,-0.00014932211004077284,-0.001196989465515341,0.00053601350599275,-0.00019765977389402957,-0.000058514867653013147,-0.00034679097273009263,0.00003042733896338555,-0.000017048714386522855]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06775289462843999,0.005459043459425071,-0.0007572908021396258,-0.00030452799148340814],[-0.0004674644400432699,-0.00042630222260407936,0.029760863006155762,-0.043253911443738524,-0.14476968714608365,0.014561657769309904,0.0007627853124631372,-0.00021284824269813548,-0.0003123075767474106],[0.0007140165680111889,-0.0029301959228099695,-0.023230411153277862,0.019479295389789868,-0.006602743798923823,-0.002194272773625985,0.0036162099911325237,0.00018008017092402016,0.00003410099449147828],[0.00005049325040417834,0.002584991105270267,0.0001762525837763639,0.004053712041718399,-0.004099257801205612,0.0023152076445895637,0.0000850673181204997,0.0003553971398167952,-8.127428457292288e-6],[-0.00019394000142683053,-0.0008872580789514228,0.0003966697409744547,-0.00013853351477438513,-0.0007575496378842438,0.00048395477178175394,-0.00001950547580662328,-1.1069361019294373e-6,0.00001909296005480093]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.023649703221545342, -0.01007969028841915, 0.0014353315944811698, 0.00025103102745202164 ], [ -0.0005822808934197705, 0.0003450380760151432, 0.018731973654103402, -0.05692340158583245, 0.09990651136661899, -0.0025063957028557127, 0.0002680929133166369, 0.0009618600106845664, 0.0003080777210410422 ], [ 0.0005707445993433286, -0.005509539034783978, -0.018612988599160375, 0.0145657408874, -0.01006509284719913, 0.004632763812089812, -0.003293734264637474, -0.000053308416004597264, 0.000028884621596304936 ], [ -0.00022285399379908048, 0.0036220280895527014, 0.00579434798726136, -0.006134303617690148, 0.003684000501518972, -0.0015337733561648094, -0.0005371141224221375, -0.0003551515396060332, 0.000011661864808641253 ], [ -0.00009225544695174182, -0.00014932211004077284, -0.001196989465515341, 0.00053601350599275, -0.00019765977389402957, -0.000058514867653013147, -0.00034679097273009263, 0.00003042733896338555, -0.000017048714386522855 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06775289462843999, 0.005459043459425071, -0.0007572908021396258, -0.00030452799148340814 ], [ -0.0004674644400432699, -0.00042630222260407936, 0.029760863006155762, -0.043253911443738524, -0.14476968714608365, 0.014561657769309904, 0.0007627853124631372, -0.00021284824269813548, -0.0003123075767474106 ], [ 0.0007140165680111889, -0.0029301959228099695, -0.023230411153277862, 0.019479295389789868, -0.006602743798923823, -0.002194272773625985, 0.0036162099911325237, 0.00018008017092402016, 0.00003410099449147828 ], [ 0.00005049325040417834, 0.002584991105270267, 0.0001762525837763639, 0.004053712041718399, -0.004099257801205612, 0.0023152076445895637, 0.0000850673181204997, 0.0003553971398167952, -0.000008127428457292288 ], [ -0.00019394000142683053, -0.0008872580789514228, 0.0003966697409744547, -0.00013853351477438513, -0.0007575496378842438, 0.00048395477178175394, -0.00001950547580662328, -0.0000011069361019294373, 0.00001909296005480093 ] ]

DN3Lqn2dSdtZmn6VrPHf4jh

{"aspect_ratio": 10.52972668391726, "major_radius": 1.0, "max_elongation": 4.8477235617488015, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.03451943497161568, 0.04300634135689177, 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": [[0.8276159931644211, 0.8276160309241666, 0.8276173610085781, 0.8276268783997383, 0.8276625404667287, 0.827757552135857, 0.8279628744861313, 0.8283480384676121, 0.8290003908036107, 0.8300229709367721, 0.8315312546761375, 0.8336490168482762, 0.8365035689803778, 0.8402206228966648, 0.8449190195932579, 0.8507055465340577, 0.8576700467540077, 0.865881000734041, 0.8753817375933142, 0.8861874062641681, 0.8982828104157923, 0.9116211833501746, 0.9261239512379935, 0.9416815051885595, 0.9581549750292737, 0.9753789705633469, 0.9931652297276696, 1.011307087730303, 1.0295846571553657, 1.0477705864354037, 1.0656362432731759, 1.0829581508301742, 1.0995244880975188, 1.1151414521697252, 1.1296392695420696, 1.1428776364962805, 1.1547503656546643, 1.1651890175029807, 1.174165302884978, 1.1816920561336175, 1.187822599885858, 1.1926483534024879, 1.1962945786772412, 1.1989142160415718, 1.2006798382292834, 1.2017738566329907, 1.202377258682278, 1.2026573646299965, 1.2027554145912103, 1.202775353152782, 1.2027763749873115], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8922363489368401}

10.529727

1

4.847724

[ [ 0.8276159931644211, 0.8276160309241666, 0.8276173610085781, 0.8276268783997383, 0.8276625404667287, 0.827757552135857, 0.8279628744861313, 0.8283480384676121, 0.8290003908036107, 0.8300229709367721, 0.8315312546761375, 0.8336490168482762, 0.8365035689803778, 0.8402206228966648, 0.8449190195932579, 0.8507055465340577, 0.8576700467540077, 0.865881000734041, 0.8753817375933142, 0.8861874062641681, 0.8982828104157923, 0.9116211833501746, 0.9261239512379935, 0.9416815051885595, 0.9581549750292737, 0.9753789705633469, 0.9931652297276696, 1.011307087730303, 1.0295846571553657, 1.0477705864354037, 1.0656362432731759, 1.0829581508301742, 1.0995244880975188, 1.1151414521697252, 1.1296392695420696, 1.1428776364962805, 1.1547503656546643, 1.1651890175029807, 1.174165302884978, 1.1816920561336175, 1.187822599885858, 1.1926483534024879, 1.1962945786772412, 1.1989142160415718, 1.2006798382292834, 1.2017738566329907, 1.202377258682278, 1.2026573646299965, 1.2027554145912103, 1.202775353152782, 1.2027763749873115 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.03451943497161568, 0.04300634135689177, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.892236

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

DE4FxogSkxjXZ8zAHmNfAsG

null

false

null

false

DRFKq5EikxD7baQbfimM2jQ

DnVHJdsndGF8uGq3xFqLtcs

{"qi": 0.020399249175981123, "vacuum_well": -0.03913181875508082, "aspect_ratio": 9.112837758168435, "max_elongation": 5.234138028672527, "average_triangularity": 0.5439450208533432, "axis_magnetic_mirror_ratio": 0.1311646795023362, "edge_magnetic_mirror_ratio": 0.25713990422834804, "aspect_ratio_over_edge_rotational_transform": 6.356608845640317, "flux_compression_in_regions_of_bad_curvature": 1.4051331533894835, "axis_rotational_transform_over_n_field_periods": 0.2682325015749234, "edge_rotational_transform_over_n_field_periods": 0.28672010436566275, "minimum_normalized_magnetic_gradient_scale_length": 7.522362225584137}

9.112838

6.356609

0.6991

0.131165

0.268233

0.25714

0.28672

1.405133

5.234138

7.522362

0.020399

-0.039132

{"r_cos":[[0.0,0.0,0.0,0.0,0.9980022705644449,-0.013200151202186374,-0.011636197212767669,0.0011067347744580227,-0.00034547907340171585],[0.0007790922860602009,0.000014407668791817526,-0.02019049261812945,-0.06047856008978744,0.16888948498529283,-0.022339793108229918,0.0011693628059676157,-0.000697592996217184,0.00011084545858441408],[0.0012564033136425307,0.005135024768456354,0.0220324084722408,0.022089367125734477,-0.015624578236620865,0.00948424313091323,-0.003932595055061784,0.00019319893710613044,0.000012537291074146738],[-0.00034090257093539935,-0.0016639218131926743,-0.001524476122020071,-0.0025710835954646334,-0.0002145853790386833,4.518991644653124e-6,0.0003090717500602039,-0.00022564508820906268,0.00005310792780462503],[0.00020369031427327147,0.0005470596436331972,-0.000689146181660987,-0.0006039507444813644,0.0002488964214246194,0.00021334670197617136,-0.00010297138557213573,-0.000019501769539132668,0.000019001859008438128]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.13367557180836692,0.016233915486858066,-0.0008328111726309479,0.0002987278896550826],[0.00022471534513807343,-0.0018249125655481974,-0.020270002578585217,-0.06745438061347654,-0.09594748987997716,0.013879806684633695,-0.001887085185671952,0.001197715015829797,-0.00014187748321596976],[0.0010674576759676356,0.0045795674833743714,0.010477470686004024,-0.0030100690943326413,-0.0016415928392003033,-0.0004023627630316436,0.0012723787242366778,0.00029107391027312227,-0.00005563829335097448],[-0.0003985271951511783,-0.002071587967105278,-0.0009132004808911803,0.007625246813901799,-0.001590580694531546,-0.0008084022505336131,0.0002704652650597644,-0.00008666169779590052,0.00002645644265810877],[0.00011962244760910191,0.0006824907129965559,0.00039328802659059224,-0.0006331546736038754,0.0006243228187268655,-0.0005590844127391906,0.00027761315681043976,-0.00004970799776325013,0.00001277054951018394]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9980022705644449, -0.013200151202186374, -0.011636197212767669, 0.0011067347744580227, -0.00034547907340171585 ], [ 0.0007790922860602009, 0.000014407668791817526, -0.02019049261812945, -0.06047856008978744, 0.16888948498529283, -0.022339793108229918, 0.0011693628059676157, -0.000697592996217184, 0.00011084545858441408 ], [ 0.0012564033136425307, 0.005135024768456354, 0.0220324084722408, 0.022089367125734477, -0.015624578236620865, 0.00948424313091323, -0.003932595055061784, 0.00019319893710613044, 0.000012537291074146738 ], [ -0.00034090257093539935, -0.0016639218131926743, -0.001524476122020071, -0.0025710835954646334, -0.0002145853790386833, 0.000004518991644653124, 0.0003090717500602039, -0.00022564508820906268, 0.00005310792780462503 ], [ 0.00020369031427327147, 0.0005470596436331972, -0.000689146181660987, -0.0006039507444813644, 0.0002488964214246194, 0.00021334670197617136, -0.00010297138557213573, -0.000019501769539132668, 0.000019001859008438128 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.13367557180836692, 0.016233915486858066, -0.0008328111726309479, 0.0002987278896550826 ], [ 0.00022471534513807343, -0.0018249125655481974, -0.020270002578585217, -0.06745438061347654, -0.09594748987997716, 0.013879806684633695, -0.001887085185671952, 0.001197715015829797, -0.00014187748321596976 ], [ 0.0010674576759676356, 0.0045795674833743714, 0.010477470686004024, -0.0030100690943326413, -0.0016415928392003033, -0.0004023627630316436, 0.0012723787242366778, 0.00029107391027312227, -0.00005563829335097448 ], [ -0.0003985271951511783, -0.002071587967105278, -0.0009132004808911803, 0.007625246813901799, -0.001590580694531546, -0.0008084022505336131, 0.0002704652650597644, -0.00008666169779590052, 0.00002645644265810877 ], [ 0.00011962244760910191, 0.0006824907129965559, 0.00039328802659059224, -0.0006331546736038754, 0.0006243228187268655, -0.0005590844127391906, 0.00027761315681043976, -0.00004970799776325013, 0.00001277054951018394 ] ]

DNdTemEconwzkLECiUYsjAE

{"aspect_ratio": 8.551666954202691, "major_radius": 1.0, "max_elongation": 4.344505406300668, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.03998725008484326, 0.02959428509602199, 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": [[0.8516635974194062, 0.8516651120914451, 0.8516908392446519, 0.8518066422484943, 0.8521170317148972, 0.8527530959388573, 0.8538596376164115, 0.8555831685097163, 0.8580614641943629, 0.8614149833581664, 0.8657402464038901, 0.8711051446981986, 0.8775460751101697, 0.8850667459594436, 0.8936384703272484, 0.9032017451761054, 0.9136689063287835, 0.9249276477360173, 0.936845196999831, 0.9492729466524266, 0.9620513513530788, 0.9750149142911955, 0.987997101145868, 1.000835036523342, 1.0133738555184264, 1.0254706016215673, 1.0369975813571712, 1.047845105557176, 1.0579235668349434, 1.0671648224320265, 1.075522870978808, 1.082973830660496, 1.089515244636393, 1.0951647571458072, 1.099958220366971, 1.1039473075859987, 1.1071967223781431, 1.1097811060816856, 1.1117817566080952, 1.1132832802977246, 1.1143703047669802, 1.1151243841024026, 1.1156212278464626, 1.115928381358892, 1.1161034764891802, 1.1161931568990595, 1.1162327601264923, 1.116246805914184, 1.116250292844222, 1.1162507339283743, 1.1162507446203078], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.3707286718857492}

8.551667

1

4.344505

[ [ 0.8516635974194062, 0.8516651120914451, 0.8516908392446519, 0.8518066422484943, 0.8521170317148972, 0.8527530959388573, 0.8538596376164115, 0.8555831685097163, 0.8580614641943629, 0.8614149833581664, 0.8657402464038901, 0.8711051446981986, 0.8775460751101697, 0.8850667459594436, 0.8936384703272484, 0.9032017451761054, 0.9136689063287835, 0.9249276477360173, 0.936845196999831, 0.9492729466524266, 0.9620513513530788, 0.9750149142911955, 0.987997101145868, 1.000835036523342, 1.0133738555184264, 1.0254706016215673, 1.0369975813571712, 1.047845105557176, 1.0579235668349434, 1.0671648224320265, 1.075522870978808, 1.082973830660496, 1.089515244636393, 1.0951647571458072, 1.099958220366971, 1.1039473075859987, 1.1071967223781431, 1.1097811060816856, 1.1117817566080952, 1.1132832802977246, 1.1143703047669802, 1.1151243841024026, 1.1156212278464626, 1.115928381358892, 1.1161034764891802, 1.1161931568990595, 1.1162327601264923, 1.116246805914184, 1.116250292844222, 1.1162507339283743, 1.1162507446203078 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.03998725008484326, 0.02959428509602199, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.370729

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

DWn8CZkyJXHadsyDFZUEpyz

null

false

null

false

D9ynHuAUHYeuW6qzCrS9TaV

DP5FW5EgrXoQyJWsPydVPm6

{"qi": 0.012682752506135092, "vacuum_well": -0.14564193789915486, "aspect_ratio": 10.051167395957844, "max_elongation": 4.628818180050128, "average_triangularity": -0.5480881773530122, "axis_magnetic_mirror_ratio": 0.10604685362952448, "edge_magnetic_mirror_ratio": 0.1719647747179535, "aspect_ratio_over_edge_rotational_transform": 13.71211709742117, "flux_compression_in_regions_of_bad_curvature": 1.2738609482009404, "axis_rotational_transform_over_n_field_periods": 0.1989928281913701, "edge_rotational_transform_over_n_field_periods": 0.2443378442717685, "minimum_normalized_magnetic_gradient_scale_length": 6.691677258417258}

10.051167

13.712117

-0.936825

0.106047

0.198993

0.171965

0.244338

1.273861

4.628818

6.691677

0.012683

-0.145642

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.03457593247797376,-0.02087624450929965,0.003686759235215643,-0.000018599600873252416],[0.0009436447967853889,-0.0043067413952028325,0.0199104019689859,-0.0740856563479168,0.09267506258247456,0.02264949120380173,0.009775594186914972,0.0002803967391257819,0.0002664330026304801],[-0.00010659619083894874,0.0050148324835009375,-0.009642634629996327,-0.00726501090423963,-0.02378321700102487,-0.0057252222380270845,-0.004323223985270547,-0.0003945299252730511,-0.00020475968659597912],[0.0004292175754960175,-0.0031511703694869315,0.006159130661313254,0.0010922419934344238,0.0019416198237586612,-0.0018482465318156495,-0.0005832681774608443,-0.0002549490905986312,-0.00003999648463527813],[-0.0000754422779757149,0.000517639060252238,-0.00005941527110648515,-0.0005578702058949316,0.0005937109987654288,0.00007712876279435986,0.00009365207958271633,0.00015147304400711653,0.00001617300767062037]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14007436117844876,0.02111604253068076,-0.002056255548036833,0.000341561908660925],[0.0015730451305871521,-0.010974860878390637,0.0359322912435917,-0.023084710083818714,-0.13712234157390407,-0.0009872628356679056,-0.006368542067322442,-0.0004484140509651525,-0.0006195821248613175],[-0.0010000481841139206,0.007412503133617217,-0.01413780301767645,-0.00008801195669291308,-0.000987694258060181,-0.0033046613013210753,0.002530402099649236,-0.0005324722951497371,0.00013264593440678667],[0.00003552258648806861,-0.00016809196540062442,-0.0014203967737695577,0.008374355970025582,0.004450550312775122,0.004277414960865365,0.0007354785233302,0.0003618401453815421,-0.00003287557540225768],[0.00013033658189345377,-0.0001294916451465072,0.00016707354773612323,-0.00016731244245119675,-0.00037852005745883655,-0.0000316923400886344,-0.0001972529859557626,-0.00005197146257537531,0.000038799542096873215]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.03457593247797376, -0.02087624450929965, 0.003686759235215643, -0.000018599600873252416 ], [ 0.0009436447967853889, -0.0043067413952028325, 0.0199104019689859, -0.0740856563479168, 0.09267506258247456, 0.02264949120380173, 0.009775594186914972, 0.0002803967391257819, 0.0002664330026304801 ], [ -0.00010659619083894874, 0.0050148324835009375, -0.009642634629996327, -0.00726501090423963, -0.02378321700102487, -0.0057252222380270845, -0.004323223985270547, -0.0003945299252730511, -0.00020475968659597912 ], [ 0.0004292175754960175, -0.0031511703694869315, 0.006159130661313254, 0.0010922419934344238, 0.0019416198237586612, -0.0018482465318156495, -0.0005832681774608443, -0.0002549490905986312, -0.00003999648463527813 ], [ -0.0000754422779757149, 0.000517639060252238, -0.00005941527110648515, -0.0005578702058949316, 0.0005937109987654288, 0.00007712876279435986, 0.00009365207958271633, 0.00015147304400711653, 0.00001617300767062037 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14007436117844876, 0.02111604253068076, -0.002056255548036833, 0.000341561908660925 ], [ 0.0015730451305871521, -0.010974860878390637, 0.0359322912435917, -0.023084710083818714, -0.13712234157390407, -0.0009872628356679056, -0.006368542067322442, -0.0004484140509651525, -0.0006195821248613175 ], [ -0.0010000481841139206, 0.007412503133617217, -0.01413780301767645, -0.00008801195669291308, -0.000987694258060181, -0.0033046613013210753, 0.002530402099649236, -0.0005324722951497371, 0.00013264593440678667 ], [ 0.00003552258648806861, -0.00016809196540062442, -0.0014203967737695577, 0.008374355970025582, 0.004450550312775122, 0.004277414960865365, 0.0007354785233302, 0.0003618401453815421, -0.00003287557540225768 ], [ 0.00013033658189345377, -0.0001294916451465072, 0.00016707354773612323, -0.00016731244245119675, -0.00037852005745883655, -0.0000316923400886344, -0.0001972529859557626, -0.00005197146257537531, 0.000038799542096873215 ] ]

DT2saBQbxe8WKxUTcfZJnHM

{"aspect_ratio": 9.957020507845003, "major_radius": 1.0, "max_elongation": 4.4084395056795165, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.23605432076106136, 0.09317020656198247, 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": [[0.8802665474432184, 0.8802665812340555, 0.8802675681875901, 0.8802739047575572, 0.880296028403088, 0.880352151796412, 0.8804692456254762, 0.8806833650436836, 0.8810394067905329, 0.8815903787368292, 0.8823962594253032, 0.8835225215187319, 0.8850383896851535, 0.8870149002154192, 0.8895228265076796, 0.8926305314187478, 0.8964018043402505, 0.9008937376827284, 0.9061546942225611, 0.9122224134663738, 0.919122301798102, 0.9268659476779197, 0.9354498995418268, 0.9448547402865449, 0.9550444882951016, 0.9659663508398674, 0.9775508513639711, 0.9897123475562779, 1.0023499522607504, 1.0153488640514554, 1.0285821087031122, 1.0419126867241502, 1.0551961155077354, 1.068283347386135, 1.0810240368039539, 1.0932701207722644, 1.1048796664846086, 1.115720928137632, 1.125676541148727, 1.1346477654568823, 1.1425586694954513, 1.1493601213332503, 1.1550334212091071, 1.1595933666850873, 1.1630904818390664, 1.1656120542230837, 1.1672814858161737, 1.1682552287728956, 1.1687161211119457, 1.168860872932696, 1.1688758592828363], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5257635910116502}

9.957021

1

4.40844

[ [ 0.8802665474432184, 0.8802665812340555, 0.8802675681875901, 0.8802739047575572, 0.880296028403088, 0.880352151796412, 0.8804692456254762, 0.8806833650436836, 0.8810394067905329, 0.8815903787368292, 0.8823962594253032, 0.8835225215187319, 0.8850383896851535, 0.8870149002154192, 0.8895228265076796, 0.8926305314187478, 0.8964018043402505, 0.9008937376827284, 0.9061546942225611, 0.9122224134663738, 0.919122301798102, 0.9268659476779197, 0.9354498995418268, 0.9448547402865449, 0.9550444882951016, 0.9659663508398674, 0.9775508513639711, 0.9897123475562779, 1.0023499522607504, 1.0153488640514554, 1.0285821087031122, 1.0419126867241502, 1.0551961155077354, 1.068283347386135, 1.0810240368039539, 1.0932701207722644, 1.1048796664846086, 1.115720928137632, 1.125676541148727, 1.1346477654568823, 1.1425586694954513, 1.1493601213332503, 1.1550334212091071, 1.1595933666850873, 1.1630904818390664, 1.1656120542230837, 1.1672814858161737, 1.1682552287728956, 1.1687161211119457, 1.168860872932696, 1.1688758592828363 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.23605432076106136, 0.09317020656198247, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.525764

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

DnyZAEhJJo8TjiMCYVziUkg

null

false

null

false

DcmiB84in99JyYDwAtrsVR8

DZsHHshAKfhsL2DeCkwefkb

{"qi": 0.002878829906316909, "vacuum_well": -0.07974574197156514, "aspect_ratio": 9.6796855749618, "max_elongation": 5.0610018256348335, "average_triangularity": -0.49264058435439456, "axis_magnetic_mirror_ratio": 0.2830958753659462, "edge_magnetic_mirror_ratio": 0.3436180801902184, "aspect_ratio_over_edge_rotational_transform": 81.34728480381351, "flux_compression_in_regions_of_bad_curvature": 1.403978834698684, "axis_rotational_transform_over_n_field_periods": 0.09837144372668354, "edge_rotational_transform_over_n_field_periods": 0.11899211631102927, "minimum_normalized_magnetic_gradient_scale_length": 4.163652276247236}

9.679686

81.347285

-0.556409

0.283096

0.098371

0.343618

0.118992

1.403979

5.061002

4.163652

0.002879

-0.079746

{"r_cos":[[0.0,0.0,0.0,0.0,0.9950435539460142,-0.1286299547131406,-0.2298905571018043,0.024367471003547577,0.015363301087229976],[0.0031044462137872087,-0.037283563269098347,0.04105629322900282,0.011446510776300274,0.07780886026220338,-0.04025756896317788,0.05540380148896546,0.005955831914999699,-0.0014725276383684845],[0.00013731924960465208,-0.00014085709070489654,-0.009673179652134182,-0.002177753050625028,-0.008083843241797936,-0.0023733528628356684,-0.001977920030620177,0.0009003383151025006,-0.0005635780416904073],[-0.0012123728336413324,0.0009144206590696653,-0.0008538257103657217,-0.0011705313095986877,-0.0010445231789444117,0.0014564780301048867,0.0010034224662276885,0.00040827230649603883,0.00015145334946630926],[0.0003886104387038474,-4.167694513893955e-6,-0.00009016527345300003,-0.0006134325651700459,0.000529364916993937,0.0002304209989893022,0.0001443972876302518,-0.00009226381611561458,-0.00003678852859207742]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.18971386976810287,-0.006398434788530927,-0.025656378699333203,0.015506838983155363],[0.006501089258991375,-0.014061142845530662,0.049975465773498005,-0.08079781449437896,-0.1241937007226227,0.0827700567752636,-0.0015451425741991112,0.006643935443447099,0.0009705951545953694],[0.0018431137350811977,0.000012417096232337664,0.0016171125903081385,0.0027611569737823628,-0.01910288733328631,-0.0012339759237309346,-0.0024953714896112098,-0.000721014133221267,0.0006711738905953238],[0.0003529271821183581,0.002118756904738269,-0.0017698621059275524,-0.0030203463085888126,0.0007107492030934024,0.0020405728118811214,0.0001112200571331748,-0.00009076739990173614,0.00003247235592457285],[0.00003807523687090336,-0.00033263291413779435,-0.00020208231625305764,0.0005652480608744521,0.000010935182058127801,-0.00010806117237949578,-0.00013763406231060926,0.0000753498663221629,0.000019599794835870654]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9950435539460142, -0.1286299547131406, -0.2298905571018043, 0.024367471003547577, 0.015363301087229976 ], [ 0.0031044462137872087, -0.037283563269098347, 0.04105629322900282, 0.011446510776300274, 0.07780886026220338, -0.04025756896317788, 0.05540380148896546, 0.005955831914999699, -0.0014725276383684845 ], [ 0.00013731924960465208, -0.00014085709070489654, -0.009673179652134182, -0.002177753050625028, -0.008083843241797936, -0.0023733528628356684, -0.001977920030620177, 0.0009003383151025006, -0.0005635780416904073 ], [ -0.0012123728336413324, 0.0009144206590696653, -0.0008538257103657217, -0.0011705313095986877, -0.0010445231789444117, 0.0014564780301048867, 0.0010034224662276885, 0.00040827230649603883, 0.00015145334946630926 ], [ 0.0003886104387038474, -0.000004167694513893955, -0.00009016527345300003, -0.0006134325651700459, 0.000529364916993937, 0.0002304209989893022, 0.0001443972876302518, -0.00009226381611561458, -0.00003678852859207742 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.18971386976810287, -0.006398434788530927, -0.025656378699333203, 0.015506838983155363 ], [ 0.006501089258991375, -0.014061142845530662, 0.049975465773498005, -0.08079781449437896, -0.1241937007226227, 0.0827700567752636, -0.0015451425741991112, 0.006643935443447099, 0.0009705951545953694 ], [ 0.0018431137350811977, 0.000012417096232337664, 0.0016171125903081385, 0.0027611569737823628, -0.01910288733328631, -0.0012339759237309346, -0.0024953714896112098, -0.000721014133221267, 0.0006711738905953238 ], [ 0.0003529271821183581, 0.002118756904738269, -0.0017698621059275524, -0.0030203463085888126, 0.0007107492030934024, 0.0020405728118811214, 0.0001112200571331748, -0.00009076739990173614, 0.00003247235592457285 ], [ 0.00003807523687090336, -0.00033263291413779435, -0.00020208231625305764, 0.0005652480608744521, 0.000010935182058127801, -0.00010806117237949578, -0.00013763406231060926, 0.0000753498663221629, 0.000019599794835870654 ] ]

DNc2kpSJUSoW72r2ABrJdnR

{"aspect_ratio": 10.890503454889192, "major_radius": 1.0, "max_elongation": 5.865819744342044, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.12267765751271284, 0.31745377414221254, 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": [[0.7175000961163327, 0.7175001534344546, 0.7175024172613795, 0.7175196971910289, 0.7175871513811252, 0.7177718326338478, 0.7181783769845879, 0.7189504773090334, 0.7202683648185889, 0.7223428296264366, 0.7254064756399922, 0.7297029799623509, 0.7354751423082174, 0.7429524837321764, 0.7523390983316622, 0.7638023851789353, 0.7774631970596458, 0.7933878427264903, 0.8115822743955317, 0.8319886854761432, 0.854484637843151, 0.8788847357163599, 0.9049447664525632, 0.9323681390428807, 0.9608143703727383, 0.989909298668856, 1.0192566441741295, 1.0484504899428542, 1.0770882215724003, 1.104783444380108, 1.1311783905579547, 1.1559553376212637, 1.178846583305764, 1.1996425611147041, 1.2181977349817665, 1.234433980842431, 1.248341246962696, 1.2599753831196723, 1.2694531403799918, 1.2769444672002046, 1.2826623624291993, 1.286850689599064, 1.2897705070798429, 1.291685621784835, 1.292848225383341, 1.2934856146389477, 1.2937891214802417, 1.2939064677833256, 1.293938786947307, 1.2939434642323961, 1.2939436028210463], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.2614551794477448}

10.890503

1

5.86582

[ [ 0.7175000961163327, 0.7175001534344546, 0.7175024172613795, 0.7175196971910289, 0.7175871513811252, 0.7177718326338478, 0.7181783769845879, 0.7189504773090334, 0.7202683648185889, 0.7223428296264366, 0.7254064756399922, 0.7297029799623509, 0.7354751423082174, 0.7429524837321764, 0.7523390983316622, 0.7638023851789353, 0.7774631970596458, 0.7933878427264903, 0.8115822743955317, 0.8319886854761432, 0.854484637843151, 0.8788847357163599, 0.9049447664525632, 0.9323681390428807, 0.9608143703727383, 0.989909298668856, 1.0192566441741295, 1.0484504899428542, 1.0770882215724003, 1.104783444380108, 1.1311783905579547, 1.1559553376212637, 1.178846583305764, 1.1996425611147041, 1.2181977349817665, 1.234433980842431, 1.248341246962696, 1.2599753831196723, 1.2694531403799918, 1.2769444672002046, 1.2826623624291993, 1.286850689599064, 1.2897705070798429, 1.291685621784835, 1.292848225383341, 1.2934856146389477, 1.2937891214802417, 1.2939064677833256, 1.293938786947307, 1.2939434642323961, 1.2939436028210463 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.12267765751271284, 0.31745377414221254, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.261455

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

DTthey9gWJB8tmvqkt6b4Tv

null

false

null

false

Dg6SVaQj7pwvJWmzbiUeVwy

DmjzWUe8gFNEXNzJVNdJShr

{"qi": 0.010478155734882748, "vacuum_well": -0.16267207489007726, "aspect_ratio": 10.129905357201812, "max_elongation": 6.056427345053267, "average_triangularity": -0.3470759631451999, "axis_magnetic_mirror_ratio": 0.17356061138000017, "edge_magnetic_mirror_ratio": 0.26652819360136093, "aspect_ratio_over_edge_rotational_transform": 10.847087322852241, "flux_compression_in_regions_of_bad_curvature": 1.5176655831259516, "axis_rotational_transform_over_n_field_periods": 0.2445088705801411, "edge_rotational_transform_over_n_field_periods": 0.23347063261536816, "minimum_normalized_magnetic_gradient_scale_length": 7.927967560615193}

10.129905

10.847087

-0.553557

0.173561

0.244509

0.266528

0.233471

1.517666

6.056427

7.927968

0.010478

-0.162672

{"r_cos":[[0.0,0.0,0.0,0.0,0.9992903303741175,-0.007287008820219262,-0.01095656396654762,0.002354212714189296,0.00009698732372864349],[0.00013127105531663715,-0.0019000559954869714,0.010981332852639848,-0.07041711809307838,0.11800566466223422,-0.01400984325155789,-0.0018772352335740096,0.00020966982868618,0.0003309731330269203],[-0.00024252417927633289,0.0007399424160888317,-0.007810248887104933,0.008162560805746254,-0.011186015947917408,0.012464409807385963,-0.004144725628742637,0.0007454524694757579,0.00005020461661582281],[-0.00009530003607954708,-0.0004285344491717947,0.0022143782454270987,-0.0030015276145244716,0.00358430561559489,-0.0013717175130302075,0.0001356214020273778,0.00020083579567681075,-3.1500965041271877e-6],[0.000035636885667496016,0.00033803515966669164,-0.0002160537497057085,-0.0003280355752285748,0.00039271683768423126,-0.0001363259200305453,-0.00010419623779054374,0.0001137253903349722,-1.3723725541207724e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08365005136165442,0.011663655660338276,-0.0018549461445086894,-0.00022539918692778167],[-0.000025347294235986907,-0.0033396767865951755,0.006267828181130183,-0.09043298372139771,-0.14218016076944245,0.03388160404299754,0.00008690541527461544,-0.00048156903324015005,-0.00025614148981056633],[0.0003356965702877397,0.00034017514377973943,-0.006913097825045679,0.02014695578523817,-0.018632672708657937,-0.001516159739886086,0.0019810804181482674,-0.0005677445132686082,0.00002959269423812979],[-0.00031322003193705696,0.000017066776526006652,-0.0006658659651745951,0.0048173094604608176,-0.006377286247050353,0.0028975076616436757,-0.0009831463890745845,-0.0002681821853373021,0.00011558387700240556],[0.00004580687071539368,0.00044092736315922646,0.0005837692617361727,0.000016004305118734713,-0.000585182423570977,0.0007176016795566304,-0.00023039864425678002,-0.00012017390301689523,9.939170181880782e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9992903303741175, -0.007287008820219262, -0.01095656396654762, 0.002354212714189296, 0.00009698732372864349 ], [ 0.00013127105531663715, -0.0019000559954869714, 0.010981332852639848, -0.07041711809307838, 0.11800566466223422, -0.01400984325155789, -0.0018772352335740096, 0.00020966982868618, 0.0003309731330269203 ], [ -0.00024252417927633289, 0.0007399424160888317, -0.007810248887104933, 0.008162560805746254, -0.011186015947917408, 0.012464409807385963, -0.004144725628742637, 0.0007454524694757579, 0.00005020461661582281 ], [ -0.00009530003607954708, -0.0004285344491717947, 0.0022143782454270987, -0.0030015276145244716, 0.00358430561559489, -0.0013717175130302075, 0.0001356214020273778, 0.00020083579567681075, -0.0000031500965041271877 ], [ 0.000035636885667496016, 0.00033803515966669164, -0.0002160537497057085, -0.0003280355752285748, 0.00039271683768423126, -0.0001363259200305453, -0.00010419623779054374, 0.0001137253903349722, -0.0000013723725541207724 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08365005136165442, 0.011663655660338276, -0.0018549461445086894, -0.00022539918692778167 ], [ -0.000025347294235986907, -0.0033396767865951755, 0.006267828181130183, -0.09043298372139771, -0.14218016076944245, 0.03388160404299754, 0.00008690541527461544, -0.00048156903324015005, -0.00025614148981056633 ], [ 0.0003356965702877397, 0.00034017514377973943, -0.006913097825045679, 0.02014695578523817, -0.018632672708657937, -0.001516159739886086, 0.0019810804181482674, -0.0005677445132686082, 0.00002959269423812979 ], [ -0.00031322003193705696, 0.000017066776526006652, -0.0006658659651745951, 0.0048173094604608176, -0.006377286247050353, 0.0028975076616436757, -0.0009831463890745845, -0.0002681821853373021, 0.00011558387700240556 ], [ 0.00004580687071539368, 0.00044092736315922646, 0.0005837692617361727, 0.000016004305118734713, -0.000585182423570977, 0.0007176016795566304, -0.00023039864425678002, -0.00012017390301689523, 0.000009939170181880782 ] ]

DkKycV2iHpWYT9SU6xkuWWq

{"aspect_ratio": 10.835600792764238, "major_radius": 1.0, "max_elongation": 5.034880420791308, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.023829509031402272, -0.22424710658070096, 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": [[0.7919257806101313, 0.7919258443821178, 0.7919282923040789, 0.7919465703793492, 0.7920165674967752, 0.792204875732666, 0.792612572089949, 0.7933745279563647, 0.7946548092283626, 0.7966389847587046, 0.7995242585768106, 0.8035083458576534, 0.8087779585065256, 0.8154976748466028, 0.8237998535576365, 0.833776124865202, 0.8454708595011347, 0.8588768838073602, 0.8739335818893832, 0.8905274063123261, 0.9084947100767549, 0.9276267165034168, 0.947676361676197, 0.9683666772900499, 0.9894003307998069, 1.0104699050094799, 1.0312684807238277, 1.0515000835740607, 1.0708895691411024, 1.0891915483040175, 1.1061979963758455, 1.1217442438644725, 1.1357131121969375, 1.1480370328294502, 1.1586980709582133, 1.1677258634328147, 1.175193572084845, 1.1812120458755027, 1.1859224750919548, 1.1894879049986788, 1.1920840512017958, 1.1938899203728919, 1.1950787831980159, 1.1958100660407462, 1.196222717453381, 1.1964305576232532, 1.1965200234127988, 1.1965505659925952, 1.1965577237365284, 1.1965585502373846, 1.1965585672640446], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1483495212294987}

10.835601

1

5.03488

[ [ 0.7919257806101313, 0.7919258443821178, 0.7919282923040789, 0.7919465703793492, 0.7920165674967752, 0.792204875732666, 0.792612572089949, 0.7933745279563647, 0.7946548092283626, 0.7966389847587046, 0.7995242585768106, 0.8035083458576534, 0.8087779585065256, 0.8154976748466028, 0.8237998535576365, 0.833776124865202, 0.8454708595011347, 0.8588768838073602, 0.8739335818893832, 0.8905274063123261, 0.9084947100767549, 0.9276267165034168, 0.947676361676197, 0.9683666772900499, 0.9894003307998069, 1.0104699050094799, 1.0312684807238277, 1.0515000835740607, 1.0708895691411024, 1.0891915483040175, 1.1061979963758455, 1.1217442438644725, 1.1357131121969375, 1.1480370328294502, 1.1586980709582133, 1.1677258634328147, 1.175193572084845, 1.1812120458755027, 1.1859224750919548, 1.1894879049986788, 1.1920840512017958, 1.1938899203728919, 1.1950787831980159, 1.1958100660407462, 1.196222717453381, 1.1964305576232532, 1.1965200234127988, 1.1965505659925952, 1.1965577237365284, 1.1965585502373846, 1.1965585672640446 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.023829509031402272, -0.22424710658070096, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.14835

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

DaCEAcpsWx7xrst2oAd7Ucq

null

false

null

false

DCJK57WTKSjrAXNWFHdxWo2

DZFpniuqEF3J5tXAPVNkneG

{"qi": 0.027077384817620676, "vacuum_well": -0.050249013823955725, "aspect_ratio": 9.227218914146151, "max_elongation": 4.967066671165498, "average_triangularity": 0.13233405830232736, "axis_magnetic_mirror_ratio": 0.2105827988086534, "edge_magnetic_mirror_ratio": 0.32671349373436204, "aspect_ratio_over_edge_rotational_transform": 18.518488431197643, "flux_compression_in_regions_of_bad_curvature": 1.2232581494715051, "axis_rotational_transform_over_n_field_periods": 0.28367399429729745, "edge_rotational_transform_over_n_field_periods": 0.24913531545591167, "minimum_normalized_magnetic_gradient_scale_length": 0.8993768829651313}

9.227219

18.518488

0.06784

0.210583

0.283674

0.326713

0.249135

1.223258

4.967067

0.899377

0.027077

-0.050249

{"r_cos":[[0.0,0.0,0.0,0.0,0.990521066805173,-0.13971609085486442,-0.04062789455518611,0.025909225869906228,-0.004060202013515583],[-0.0023492879714511502,-0.00344233857556095,0.05723337865007294,0.009552881253841686,0.12403544675620501,-0.03069713321426269,0.03650286468226814,0.000918589040761305,-0.0011996160747912853],[0.00056531924753084,-0.005678408060755432,-0.00955031091030418,-0.0034071123914948933,-0.028509677994158423,0.0010254836065024938,-0.0038902116182748993,0.002030951111072877,0.000019134411207085713],[-0.002288494465142026,0.002384129583690146,-0.003795135207138204,0.0022709022630266556,-0.0006884552037862701,-0.0022256088286614632,0.00047509342075214536,-0.0008529433876553495,0.000323965433976516],[-0.00001701413710445129,-0.0011437303193813867,0.0009487083679654625,-0.0002078942836333912,-0.0010464623092755353,0.0006678037187489541,-0.00036265763887463457,-0.00010881329517307937,0.0001172989426235566]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.16909837754506832,-0.010581885072242458,-0.02111959963326893,0.0007649812957078675],[-0.007699055510632708,-0.003565056082144117,0.05314155274279861,-0.0803683082104752,-0.07768136934563832,0.08873951818547109,-0.025192373624382414,-0.002116429711074,0.00249113788302187],[0.003098617972602394,-0.003303519913474843,-0.007223179776623845,0.0011565773036732504,0.011451320357415917,-0.007890002581489405,0.0024676992652479905,-0.0010105552664253668,-0.00029466530485958695],[-0.0014347583388842789,0.005005973610707123,-0.007903028248986995,-0.0029673736038750807,0.007186623197675695,-0.0014112504007856921,-0.0024373885655265292,0.0013624449111481144,-0.00012287718712551405],[-0.0003282748006103939,-0.000020307160839983565,0.00042012308785305974,-0.0006676795475215701,0.001886252028060649,-0.0005855753103582521,-0.00017461205190426337,0.00025826518311669936,-0.0001464971735231262]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.990521066805173, -0.13971609085486442, -0.04062789455518611, 0.025909225869906228, -0.004060202013515583 ], [ -0.0023492879714511502, -0.00344233857556095, 0.05723337865007294, 0.009552881253841686, 0.12403544675620501, -0.03069713321426269, 0.03650286468226814, 0.000918589040761305, -0.0011996160747912853 ], [ 0.00056531924753084, -0.005678408060755432, -0.00955031091030418, -0.0034071123914948933, -0.028509677994158423, 0.0010254836065024938, -0.0038902116182748993, 0.002030951111072877, 0.000019134411207085713 ], [ -0.002288494465142026, 0.002384129583690146, -0.003795135207138204, 0.0022709022630266556, -0.0006884552037862701, -0.0022256088286614632, 0.00047509342075214536, -0.0008529433876553495, 0.000323965433976516 ], [ -0.00001701413710445129, -0.0011437303193813867, 0.0009487083679654625, -0.0002078942836333912, -0.0010464623092755353, 0.0006678037187489541, -0.00036265763887463457, -0.00010881329517307937, 0.0001172989426235566 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.16909837754506832, -0.010581885072242458, -0.02111959963326893, 0.0007649812957078675 ], [ -0.007699055510632708, -0.003565056082144117, 0.05314155274279861, -0.0803683082104752, -0.07768136934563832, 0.08873951818547109, -0.025192373624382414, -0.002116429711074, 0.00249113788302187 ], [ 0.003098617972602394, -0.003303519913474843, -0.007223179776623845, 0.0011565773036732504, 0.011451320357415917, -0.007890002581489405, 0.0024676992652479905, -0.0010105552664253668, -0.00029466530485958695 ], [ -0.0014347583388842789, 0.005005973610707123, -0.007903028248986995, -0.0029673736038750807, 0.007186623197675695, -0.0014112504007856921, -0.0024373885655265292, 0.0013624449111481144, -0.00012287718712551405 ], [ -0.0003282748006103939, -0.000020307160839983565, 0.00042012308785305974, -0.0006676795475215701, 0.001886252028060649, -0.0005855753103582521, -0.00017461205190426337, 0.00025826518311669936, -0.0001464971735231262 ] ]

DeSLzpXw7oKRZ3CRGAmZpg5

{"aspect_ratio": 7.8978211524335205, "major_radius": 1.0, "max_elongation": 4.8035392761725815, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.08840168955347576, -0.2090654594039594, 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": [[0.8014906488165786, 0.8014953284808087, 0.801558237322972, 0.8018037956276317, 0.8024009955922987, 0.8035397095641784, 0.8054121933098298, 0.808198787695181, 0.8120571761032661, 0.817114694338694, 0.8234632664323844, 0.8311565905688705, 0.8402092373654895, 0.8505973535755569, 0.8622606907444829, 0.8751057019255905, 0.8890094711403833, 0.9038242603897224, 0.9193824780398512, 0.9355018905572735, 0.9519909170135279, 0.9686538626418575, 0.9852959640875885, 1.0017281349152, 1.0177713154640147, 1.0332603463157206, 1.0480472994759273, 1.0620042158970424, 1.0750252121933546, 1.087027933328952, 1.0979543416981454, 1.1077708463655704, 1.1164677892842814, 1.1240583180558952, 1.1305766872238348, 1.13607604218032, 1.1406257514953686, 1.1443083648095793, 1.1472162843301614, 1.1494482483773594, 1.151105735274747, 1.1522894050667227, 1.1530957049501454, 1.153613771742747, 1.1539227709153375, 1.154089816289302, 1.1541686168081102, 1.1541989957361203, 1.154207421142479, 1.1542086700399703, 1.1542087092895739], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5109364791958964}

7.897821

1

4.803539

[ [ 0.8014906488165786, 0.8014953284808087, 0.801558237322972, 0.8018037956276317, 0.8024009955922987, 0.8035397095641784, 0.8054121933098298, 0.808198787695181, 0.8120571761032661, 0.817114694338694, 0.8234632664323844, 0.8311565905688705, 0.8402092373654895, 0.8505973535755569, 0.8622606907444829, 0.8751057019255905, 0.8890094711403833, 0.9038242603897224, 0.9193824780398512, 0.9355018905572735, 0.9519909170135279, 0.9686538626418575, 0.9852959640875885, 1.0017281349152, 1.0177713154640147, 1.0332603463157206, 1.0480472994759273, 1.0620042158970424, 1.0750252121933546, 1.087027933328952, 1.0979543416981454, 1.1077708463655704, 1.1164677892842814, 1.1240583180558952, 1.1305766872238348, 1.13607604218032, 1.1406257514953686, 1.1443083648095793, 1.1472162843301614, 1.1494482483773594, 1.151105735274747, 1.1522894050667227, 1.1530957049501454, 1.153613771742747, 1.1539227709153375, 1.154089816289302, 1.1541686168081102, 1.1541989957361203, 1.154207421142479, 1.1542086700399703, 1.1542087092895739 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.08840168955347576, -0.2090654594039594, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.510936

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

D2qFdMKxkGhpbFvF4mbyMTE

null

false

null

false

DfP3ZbJtvJMdEtfat8VAEdz

DL9oResUqeKuZKhcFXvqVXX

{"qi": 0.027495174032150054, "vacuum_well": -0.20930128743057652, "aspect_ratio": 5.834446239936932, "max_elongation": 5.019119989829549, "average_triangularity": -0.19429175098811513, "axis_magnetic_mirror_ratio": 0.7315481324609544, "edge_magnetic_mirror_ratio": 0.8829642391564482, "aspect_ratio_over_edge_rotational_transform": 8.137974361156099, "flux_compression_in_regions_of_bad_curvature": 1.5246355362004593, "axis_rotational_transform_over_n_field_periods": 0.19439988177793838, "edge_rotational_transform_over_n_field_periods": 0.14338816961099587, "minimum_normalized_magnetic_gradient_scale_length": 2.9413132341212487}

5.834446

8.137974

-0.241219

0.731548

0.1944

0.882964

0.143388

1.524636

5.01912

2.941313

0.027495

-0.209301

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.14031800088955101,-0.02050424767880382,-0.014479005816061548,0.000734520889181395],[-0.002731736270212936,0.009095222229646939,0.047479084852138545,0.01634730933314727,0.14020079535102276,-0.03849817183598406,0.002066856002672205,0.004295604573446002,0.0014169108625938782],[0.0011438313205565157,0.00043526643119454027,-0.01755790639282149,0.0016211892235535198,0.00702494168718265,-0.011012047537432288,0.0005222629618012037,0.0009926303933187903,-0.0009431397588887571],[0.00010712872027059955,-0.0009117849106838752,0.0001673017336984216,0.004755275288136672,-0.003767452540750474,0.0013823731874696636,-0.00011282646581719049,0.0002305829164836605,-0.00006150091017794872],[-8.025114224009224e-6,-0.000369824193045674,-0.00008874262814179532,0.001110789435225547,-0.0012175252238760953,0.0001544003472924338,-0.000041484253377176944,0.00005783758800680721,-0.00011530124381312938]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.14016523148618337,0.01774446969500807,0.013754262713358138,0.0028240706894043788],[0.0035373703083179837,0.016118688557826593,0.025234024101690206,0.07098494316836254,-0.19372863643954,0.030554811071152987,-0.0074649400764022,-0.0022092900686405117,-0.0016738119501381417],[-0.0008248764899122457,-0.006263309961984136,-0.004282394123836359,-0.007997637831469388,0.010991464645440208,-0.004797467183128318,0.0017130820405421331,0.0008723316904953172,0.0005441148774279604],[-0.0005790403154489027,-0.00017751411806143837,-0.0008920617757510088,-0.004123755351002116,0.0005540743663773082,-0.0029474726147958098,0.0021092426079132344,-0.001987806693251384,0.0005005643536771399],[0.00023534697604569652,-0.0006234836403520911,-0.0006159446252338786,0.0007639142132646791,-0.001137183172708646,0.0011602905638432319,-0.0008595613376922442,0.0003277200822861154,-0.000047618604003599]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.14031800088955101, -0.02050424767880382, -0.014479005816061548, 0.000734520889181395 ], [ -0.002731736270212936, 0.009095222229646939, 0.047479084852138545, 0.01634730933314727, 0.14020079535102276, -0.03849817183598406, 0.002066856002672205, 0.004295604573446002, 0.0014169108625938782 ], [ 0.0011438313205565157, 0.00043526643119454027, -0.01755790639282149, 0.0016211892235535198, 0.00702494168718265, -0.011012047537432288, 0.0005222629618012037, 0.0009926303933187903, -0.0009431397588887571 ], [ 0.00010712872027059955, -0.0009117849106838752, 0.0001673017336984216, 0.004755275288136672, -0.003767452540750474, 0.0013823731874696636, -0.00011282646581719049, 0.0002305829164836605, -0.00006150091017794872 ], [ -0.000008025114224009224, -0.000369824193045674, -0.00008874262814179532, 0.001110789435225547, -0.0012175252238760953, 0.0001544003472924338, -0.000041484253377176944, 0.00005783758800680721, -0.00011530124381312938 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.14016523148618337, 0.01774446969500807, 0.013754262713358138, 0.0028240706894043788 ], [ 0.0035373703083179837, 0.016118688557826593, 0.025234024101690206, 0.07098494316836254, -0.19372863643954, 0.030554811071152987, -0.0074649400764022, -0.0022092900686405117, -0.0016738119501381417 ], [ -0.0008248764899122457, -0.006263309961984136, -0.004282394123836359, -0.007997637831469388, 0.010991464645440208, -0.004797467183128318, 0.0017130820405421331, 0.0008723316904953172, 0.0005441148774279604 ], [ -0.0005790403154489027, -0.00017751411806143837, -0.0008920617757510088, -0.004123755351002116, 0.0005540743663773082, -0.0029474726147958098, 0.0021092426079132344, -0.001987806693251384, 0.0005005643536771399 ], [ 0.00023534697604569652, -0.0006234836403520911, -0.0006159446252338786, 0.0007639142132646791, -0.001137183172708646, 0.0011602905638432319, -0.0008595613376922442, 0.0003277200822861154, -0.000047618604003599 ] ]

D8eYFGffonbfbDMbDJAC6Q5

{"aspect_ratio": 4.372178209984715, "major_radius": 1.0, "max_elongation": 6.7391209283683375, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.23023155039297294, 0.03845482338527899, 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": [[0.5594740283339987, 0.5611022469837893, 0.5665515898745481, 0.5758694597819286, 0.5888189154585056, 0.6050632579878773, 0.6242223191161711, 0.6458994224253359, 0.6696967197228544, 0.6952247536460161, 0.7221087363516567, 0.7499927800072679, 0.7785427610678257, 0.8074482255173508, 0.8364235934786226, 0.8652088354106762, 0.8935697394019133, 0.9212978553556049, 0.9482101794852, 0.9741486272023635, 0.9989793316847166, 1.0225917976298988, 1.0448979339811482, 1.06583098512835, 1.0853443768369897, 1.1034104906570925, 1.1200193786224026, 1.1351774285310898, 1.1489059889064503, 1.1612399617996274, 1.1722263708657257, 1.181922911583267, 1.1903964900685802, 1.1977217566435525, 1.2039796401360452, 1.20925588882205, 1.2136396239581477, 1.2172219120091539, 1.2200943619639197, 1.2223477545771249, 1.2240707110160676, 1.2253484092901004, 1.2262613580922928, 1.2268842394415242, 1.2272848340340208, 1.22752304694358, 1.2276500570865039, 1.2277076234024182, 1.227727597952688, 1.2277317321053274, 1.227731959620638], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.072321261548915}

4.372178

1

6.739121

[ [ 0.5594740283339987, 0.5611022469837893, 0.5665515898745481, 0.5758694597819286, 0.5888189154585056, 0.6050632579878773, 0.6242223191161711, 0.6458994224253359, 0.6696967197228544, 0.6952247536460161, 0.7221087363516567, 0.7499927800072679, 0.7785427610678257, 0.8074482255173508, 0.8364235934786226, 0.8652088354106762, 0.8935697394019133, 0.9212978553556049, 0.9482101794852, 0.9741486272023635, 0.9989793316847166, 1.0225917976298988, 1.0448979339811482, 1.06583098512835, 1.0853443768369897, 1.1034104906570925, 1.1200193786224026, 1.1351774285310898, 1.1489059889064503, 1.1612399617996274, 1.1722263708657257, 1.181922911583267, 1.1903964900685802, 1.1977217566435525, 1.2039796401360452, 1.20925588882205, 1.2136396239581477, 1.2172219120091539, 1.2200943619639197, 1.2223477545771249, 1.2240707110160676, 1.2253484092901004, 1.2262613580922928, 1.2268842394415242, 1.2272848340340208, 1.22752304694358, 1.2276500570865039, 1.2277076234024182, 1.227727597952688, 1.2277317321053274, 1.227731959620638 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.23023155039297294, 0.03845482338527899, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.072321

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

DHqzscvioHueLCdxx3KiALX

null

false

null

false

DHj9FxUzxRV9DySEE8tzupX

DKUjdymuARFehUA72FiBxyY

{"qi": 0.05958428625943184, "vacuum_well": -0.0731853949185758, "aspect_ratio": 7.93494608120704, "max_elongation": 7.540501582509966, "average_triangularity": 0.5521540403412922, "axis_magnetic_mirror_ratio": 0.13803266548130663, "edge_magnetic_mirror_ratio": 0.29025246566554397, "aspect_ratio_over_edge_rotational_transform": 7.225678910573154, "flux_compression_in_regions_of_bad_curvature": 1.8280246912138263, "axis_rotational_transform_over_n_field_periods": 0.26324450227828355, "edge_rotational_transform_over_n_field_periods": 0.2196318485615527, "minimum_normalized_magnetic_gradient_scale_length": 4.638320188765814}

7.934946

7.225679

0.545392

0.138033

0.263245

0.290252

0.219632

1.828025

7.540502

4.63832

0.059584

-0.073185

{"r_cos":[[0.0,0.0,0.0,0.0,0.9818113454382231,0.06437474437268596,0.011338033988064473,-0.0007958137539918943,0.0009535467989606966],[-0.0025013992232111155,-0.0017202020183515435,-0.01790884841028423,-0.0998004697979703,0.1871009923951698,0.0030410857120537205,0.0051084989981014265,-0.0010882567886793173,0.00030583548396812335],[0.001027688525778644,0.002728173792073356,0.005139617368680972,-0.003649105550361893,0.04343539541107383,-0.002808290506707896,-0.000024575147772107255,-0.001837919762754413,0.00023899197807709894],[-0.0012376815638962236,0.001676447633688236,0.001787945161028779,0.006251884022574138,0.0033515774370055547,-0.002790733751762845,-0.000261533139836446,-0.0003924453406048943,-0.00005708226263466084],[0.00027226052379383277,-1.3406830456472348e-6,0.0002385589468429644,0.0003328425244818276,-0.000625356044084667,-0.00022679780023388517,0.0001580201960145342,-0.00003289605883692332,-3.560374970780066e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.32183711046544705,-0.009627249283343131,-0.0031280591682222815,-0.0003644878251173357],[-0.004486806448449925,-0.001601248877672247,-0.05653538177395655,-0.02052894221524497,-0.09755580309371392,-0.03765629405814435,-0.003100659458944933,-0.003406258723889887,0.0007869846049439256],[0.0024928280611484725,-0.0016739311498312106,0.014048606317954508,-0.01561259995419834,-0.005619804349420984,0.0005081543043783526,-0.000887249058670176,0.0014990657844710425,-0.0001143608458073393],[-0.00142621456388754,0.0012774439689304143,-0.00048689581127663,0.003510744155299978,-0.0004577727463882388,0.0035017171865231868,0.0006368533684911022,0.00006070785014753756,0.00007290438032993372],[0.000437688851595722,-0.0005220342504807857,0.0002782608999186244,-0.00007720634643384612,0.0003528843872598593,0.00040991419678168084,-0.00015649100910395856,0.0000237463185242848,-0.00004354578861424813]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9818113454382231, 0.06437474437268596, 0.011338033988064473, -0.0007958137539918943, 0.0009535467989606966 ], [ -0.0025013992232111155, -0.0017202020183515435, -0.01790884841028423, -0.0998004697979703, 0.1871009923951698, 0.0030410857120537205, 0.0051084989981014265, -0.0010882567886793173, 0.00030583548396812335 ], [ 0.001027688525778644, 0.002728173792073356, 0.005139617368680972, -0.003649105550361893, 0.04343539541107383, -0.002808290506707896, -0.000024575147772107255, -0.001837919762754413, 0.00023899197807709894 ], [ -0.0012376815638962236, 0.001676447633688236, 0.001787945161028779, 0.006251884022574138, 0.0033515774370055547, -0.002790733751762845, -0.000261533139836446, -0.0003924453406048943, -0.00005708226263466084 ], [ 0.00027226052379383277, -0.0000013406830456472348, 0.0002385589468429644, 0.0003328425244818276, -0.000625356044084667, -0.00022679780023388517, 0.0001580201960145342, -0.00003289605883692332, -0.000003560374970780066 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.32183711046544705, -0.009627249283343131, -0.0031280591682222815, -0.0003644878251173357 ], [ -0.004486806448449925, -0.001601248877672247, -0.05653538177395655, -0.02052894221524497, -0.09755580309371392, -0.03765629405814435, -0.003100659458944933, -0.003406258723889887, 0.0007869846049439256 ], [ 0.0024928280611484725, -0.0016739311498312106, 0.014048606317954508, -0.01561259995419834, -0.005619804349420984, 0.0005081543043783526, -0.000887249058670176, 0.0014990657844710425, -0.0001143608458073393 ], [ -0.00142621456388754, 0.0012774439689304143, -0.00048689581127663, 0.003510744155299978, -0.0004577727463882388, 0.0035017171865231868, 0.0006368533684911022, 0.00006070785014753756, 0.00007290438032993372 ], [ 0.000437688851595722, -0.0005220342504807857, 0.0002782608999186244, -0.00007720634643384612, 0.0003528843872598593, 0.00040991419678168084, -0.00015649100910395856, 0.0000237463185242848, -0.00004354578861424813 ] ]

DKXYuseUWhSmFRpJSoFXJip

{"aspect_ratio": 7.829945914515804, "major_radius": 1.0, "max_elongation": 4.266885499504741, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.03822579814424119, 0.29255158759240124, 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": [[0.8558730894868891, 0.8558775790214872, 0.8559360824058887, 0.8561593865414505, 0.8566927611491638, 0.8576939730115875, 0.8593170655584789, 0.8617005131097741, 0.8649589111442334, 0.86917758003341, 0.8744095774558907, 0.8806746917294442, 0.8879600449149156, 0.8962219795516345, 0.9053889406236229, 0.915365097190879, 0.9260344774324099, 0.9372654174939044, 0.9489151490687362, 0.9608343734405068, 0.9728716910380099, 0.9848777755832554, 0.9967092007825612, 1.0082318453160368, 1.0193238186920497, 1.0298778664007933, 1.0398032277598852, 1.0490269339177851, 1.0574945466803256, 1.0651703511555022, 1.0720370266674983, 1.078094830960763, 1.0833603423790363, 1.087864813434845, 1.0916521969455906, 1.094776912656399, 1.0973014279390891, 1.0992937306783601, 1.1008247757401342, 1.1019659883495496, 1.1027869081436856, 1.103353056421872, 1.103724105951839, 1.1039524272766224, 1.1040820773520046, 1.1041482848730608, 1.1041774708277292, 1.104187821034813, 1.1041903968289526, 1.1041907248841274, 1.104190732963514], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.3628696688773294}

7.829946

1

4.266885

[ [ 0.8558730894868891, 0.8558775790214872, 0.8559360824058887, 0.8561593865414505, 0.8566927611491638, 0.8576939730115875, 0.8593170655584789, 0.8617005131097741, 0.8649589111442334, 0.86917758003341, 0.8744095774558907, 0.8806746917294442, 0.8879600449149156, 0.8962219795516345, 0.9053889406236229, 0.915365097190879, 0.9260344774324099, 0.9372654174939044, 0.9489151490687362, 0.9608343734405068, 0.9728716910380099, 0.9848777755832554, 0.9967092007825612, 1.0082318453160368, 1.0193238186920497, 1.0298778664007933, 1.0398032277598852, 1.0490269339177851, 1.0574945466803256, 1.0651703511555022, 1.0720370266674983, 1.078094830960763, 1.0833603423790363, 1.087864813434845, 1.0916521969455906, 1.094776912656399, 1.0973014279390891, 1.0992937306783601, 1.1008247757401342, 1.1019659883495496, 1.1027869081436856, 1.103353056421872, 1.103724105951839, 1.1039524272766224, 1.1040820773520046, 1.1041482848730608, 1.1041774708277292, 1.104187821034813, 1.1041903968289526, 1.1041907248841274, 1.104190732963514 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.03822579814424119, 0.29255158759240124, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.36287

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

DSoRb6T8RpBQ6NQn8RKiNAT

null

false

null

false

DADkuRvFsVmxNdP5n6bVtAW

DNxfEMGYRug5jCBzEg9ukuD

{"qi": 0.049003441680289646, "vacuum_well": -0.13241568380038768, "aspect_ratio": 7.0369755799622915, "max_elongation": 2.561903371244531, "average_triangularity": -0.1515837788531111, "axis_magnetic_mirror_ratio": 0.6320922918011121, "edge_magnetic_mirror_ratio": 0.8929057959197956, "aspect_ratio_over_edge_rotational_transform": 7.672439764716884, "flux_compression_in_regions_of_bad_curvature": 0.8523242028535347, "axis_rotational_transform_over_n_field_periods": 0.23175493126937313, "edge_rotational_transform_over_n_field_periods": 0.18343514698735358, "minimum_normalized_magnetic_gradient_scale_length": 3.5115124989196684}

7.036976

7.67244

-0.260471

0.632092

0.231755

0.892906

0.183435

0.852324

2.561903

3.511512

0.049003

-0.132416

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.15388224676457038,-0.01795540498548905,-0.009400182529249831,0.00004866901921827529],[-0.0011927548546639803,0.0052909173481228535,0.049753872265152606,-0.05724605521966315,0.12176876344775,0.011022374221302738,-0.012131400640551897,0.0017920630929159423,0.0004622212067621516],[0.0005467377711019148,0.0005284974606707083,-0.022186893789571116,0.012376721514188196,-0.0035669139496311633,0.0003431295891338946,-0.0006795481954075065,-0.0007761178689031879,-0.0003290086898971343],[-0.0013021922284447898,0.00011264346451022889,0.0038150086805420784,-0.0008687052490042424,0.0020689445487642177,-0.0015289395840340874,0.0006210836314762293,-0.00004582963085963354,-0.000018366912756730895],[0.00045393521242814163,0.0009186330289969574,-0.001966790739065295,0.0013215032373366156,-0.00032081387661551865,-0.0002114833750311468,-0.0000687208188268223,-0.000023628584695843755,-0.00007042483103414444]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.023634637008022936,0.019885735913958546,0.0045472710596526356,0.001282424101742001],[-0.00047819754989525875,0.013344982522306814,0.008878595600362613,0.038842431289876474,-0.12716452829505062,-0.00763549290609959,-0.002080685712447776,0.0008709139793679132,-0.0005218730449598617],[0.0017452255615875165,-0.005787817043636131,-0.004049895482151296,-0.011612653384152159,0.0021131431511905445,-0.007624028832341725,0.0004717910009858228,0.0009074386133820934,0.0002487863550311104],[-0.0018428551779424843,0.0012897701660191398,0.0024530832043113656,0.00016940905676582547,-0.002893410108192861,0.001951795535015487,-0.0013370879495863118,-0.00003085333449718056,-0.0000656376102299793],[0.0006028549567648146,-0.00011728973031119218,0.00004859654196786125,0.0004930213724677998,-0.0003282863629936357,0.00017877519756780022,-0.0000424677616393084,-0.00007783753949712837,0.00008572689833655076]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.15388224676457038, -0.01795540498548905, -0.009400182529249831, 0.00004866901921827529 ], [ -0.0011927548546639803, 0.0052909173481228535, 0.049753872265152606, -0.05724605521966315, 0.12176876344775, 0.011022374221302738, -0.012131400640551897, 0.0017920630929159423, 0.0004622212067621516 ], [ 0.0005467377711019148, 0.0005284974606707083, -0.022186893789571116, 0.012376721514188196, -0.0035669139496311633, 0.0003431295891338946, -0.0006795481954075065, -0.0007761178689031879, -0.0003290086898971343 ], [ -0.0013021922284447898, 0.00011264346451022889, 0.0038150086805420784, -0.0008687052490042424, 0.0020689445487642177, -0.0015289395840340874, 0.0006210836314762293, -0.00004582963085963354, -0.000018366912756730895 ], [ 0.00045393521242814163, 0.0009186330289969574, -0.001966790739065295, 0.0013215032373366156, -0.00032081387661551865, -0.0002114833750311468, -0.0000687208188268223, -0.000023628584695843755, -0.00007042483103414444 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.023634637008022936, 0.019885735913958546, 0.0045472710596526356, 0.001282424101742001 ], [ -0.00047819754989525875, 0.013344982522306814, 0.008878595600362613, 0.038842431289876474, -0.12716452829505062, -0.00763549290609959, -0.002080685712447776, 0.0008709139793679132, -0.0005218730449598617 ], [ 0.0017452255615875165, -0.005787817043636131, -0.004049895482151296, -0.011612653384152159, 0.0021131431511905445, -0.007624028832341725, 0.0004717910009858228, 0.0009074386133820934, 0.0002487863550311104 ], [ -0.0018428551779424843, 0.0012897701660191398, 0.0024530832043113656, 0.00016940905676582547, -0.002893410108192861, 0.001951795535015487, -0.0013370879495863118, -0.00003085333449718056, -0.0000656376102299793 ], [ 0.0006028549567648146, -0.00011728973031119218, 0.00004859654196786125, 0.0004930213724677998, -0.0003282863629936357, 0.00017877519756780022, -0.0000424677616393084, -0.00007783753949712837, 0.00008572689833655076 ] ]

DZJaqAJdCiERZCz3fug47Kk

{"aspect_ratio": 4.957015896254442, "major_radius": 1.0, "max_elongation": 5.129080649476917, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.42786141062461636, -0.049883353503281845, 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": [[0.7303986797207261, 0.731024695072225, 0.7336718935959694, 0.7387823414397751, 0.746425383146335, 0.7564914585124487, 0.7687688264763113, 0.7829864637465545, 0.7988414512231989, 0.8160176757926754, 0.8341990575486447, 0.853079045326429, 0.8723674269449145, 0.8917951313093968, 0.911117486881863, 0.9301162703496495, 0.9486007946895234, 0.9664082285676104, 0.9834032988240444, 0.9994774986678568, 1.0145479025105943, 1.028555671800989, 1.0414643232932692, 1.0532578208874257, 1.0639385438332474, 1.0735251772080145, 1.08205056481364, 1.0895595597393446, 1.0961069036119409, 1.1017551618646664, 1.1065727390872817, 1.1106319955887258, 1.114007483640345, 1.1167743194166713, 1.119006704365421, 1.1207766075788579, 1.1221526186696102, 1.1231989786426588, 1.1239747942697687, 1.124533439480405, 1.1249221452483829, 1.1251817773345698, 1.1253467989913553, 1.125445413276668, 1.1254998768698707, 1.125526974089782, 1.1255386359672699, 1.125542684349092, 1.1255436744092315, 1.12554379912388, 1.1255438022008692], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.3532658620314884}

4.957016

1

5.129081

[ [ 0.7303986797207261, 0.731024695072225, 0.7336718935959694, 0.7387823414397751, 0.746425383146335, 0.7564914585124487, 0.7687688264763113, 0.7829864637465545, 0.7988414512231989, 0.8160176757926754, 0.8341990575486447, 0.853079045326429, 0.8723674269449145, 0.8917951313093968, 0.911117486881863, 0.9301162703496495, 0.9486007946895234, 0.9664082285676104, 0.9834032988240444, 0.9994774986678568, 1.0145479025105943, 1.028555671800989, 1.0414643232932692, 1.0532578208874257, 1.0639385438332474, 1.0735251772080145, 1.08205056481364, 1.0895595597393446, 1.0961069036119409, 1.1017551618646664, 1.1065727390872817, 1.1106319955887258, 1.114007483640345, 1.1167743194166713, 1.119006704365421, 1.1207766075788579, 1.1221526186696102, 1.1231989786426588, 1.1239747942697687, 1.124533439480405, 1.1249221452483829, 1.1251817773345698, 1.1253467989913553, 1.125445413276668, 1.1254998768698707, 1.125526974089782, 1.1255386359672699, 1.125542684349092, 1.1255436744092315, 1.12554379912388, 1.1255438022008692 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.42786141062461636, -0.049883353503281845, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.353266

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

DLCFxpsXc8gGMFtriwdEB6T

null

false

null

false

DdRCKcyersgKSTHLhq7UXrm

DKndAKwWL3AVM9k9GSUKo5h

{"qi": 0.022951257949654667, "vacuum_well": -0.0514323118455229, "aspect_ratio": 8.62259038426367, "max_elongation": 6.192601203759517, "average_triangularity": -0.30933460179510464, "axis_magnetic_mirror_ratio": 0.4617862217661239, "edge_magnetic_mirror_ratio": 0.7183851519211591, "aspect_ratio_over_edge_rotational_transform": 15.0659818572964, "flux_compression_in_regions_of_bad_curvature": 1.348881000266178, "axis_rotational_transform_over_n_field_periods": 0.17423674930372357, "edge_rotational_transform_over_n_field_periods": 0.11446436702149328, "minimum_normalized_magnetic_gradient_scale_length": 3.388416534323749}

8.62259

15.065982

-0.347542

0.461786

0.174237

0.718385

0.114464

1.348881

6.192601

3.388417

0.022951

-0.051432

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.08996689570341491,-0.038697596670495445,0.001129879436495915,-0.0005424604871070768],[0.002038410505002608,-0.0038109100966340834,0.0244368720641278,0.06272670666393428,0.11653188857564319,-0.03350328535092899,0.007533101146137642,0.0017115083885703717,-0.0005987877555647422],[-0.0007895725088918359,0.0033203905219126384,-0.00512726476110675,-0.018710170036921638,-0.0001711766895008543,-0.014321434658149954,0.0023839560202214903,-0.0022227451269637025,0.00003684406710684576],[-0.00011548918654858236,-0.002216066803820623,0.00041714586835550713,0.00153276800867214,0.001382850694377268,-0.001646498684961025,0.0012947009408202752,-0.0004497305394565834,0.00018414598229058297],[0.000193217419476007,0.0004618647470738779,-0.0004977475622038394,0.00042391038394261555,-0.0009490994373561359,-0.00014113509734224117,-0.00006518081326019201,-0.0003163495026463251,0.0000821776474382362]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.1371014545119291,0.02852356679092349,0.0012327347728443615,0.0021899893923762494],[0.0022179627317117792,0.004372926504490715,0.04443246471754213,0.04341205234051515,-0.14988024798817845,-0.002470810030812648,-0.005056709576641671,-0.002215540143940534,0.00016967126640030105],[0.00009172456319866238,0.0007001124347161037,-0.015438221138287762,-0.010671657762640369,-0.004973091019823585,0.006667145630148724,0.00007013680944872175,0.0010689236116144232,0.0005357595783767169],[-0.0007343021701933399,-0.0006868159653039904,0.0012696981828238247,0.0006005686154478289,-0.0045861089428306315,0.0015366819505110237,-0.0010561844977279443,0.00008487855181767005,-0.00010969510525479445],[0.00020208873881836587,-0.00010829876467602972,-0.00041349691881894694,0.0003627234139380657,0.00017169812100489216,0.0006015815956385483,-0.0002951244559727156,0.00012216946901626505,0.000016211894370191538]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.08996689570341491, -0.038697596670495445, 0.001129879436495915, -0.0005424604871070768 ], [ 0.002038410505002608, -0.0038109100966340834, 0.0244368720641278, 0.06272670666393428, 0.11653188857564319, -0.03350328535092899, 0.007533101146137642, 0.0017115083885703717, -0.0005987877555647422 ], [ -0.0007895725088918359, 0.0033203905219126384, -0.00512726476110675, -0.018710170036921638, -0.0001711766895008543, -0.014321434658149954, 0.0023839560202214903, -0.0022227451269637025, 0.00003684406710684576 ], [ -0.00011548918654858236, -0.002216066803820623, 0.00041714586835550713, 0.00153276800867214, 0.001382850694377268, -0.001646498684961025, 0.0012947009408202752, -0.0004497305394565834, 0.00018414598229058297 ], [ 0.000193217419476007, 0.0004618647470738779, -0.0004977475622038394, 0.00042391038394261555, -0.0009490994373561359, -0.00014113509734224117, -0.00006518081326019201, -0.0003163495026463251, 0.0000821776474382362 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.1371014545119291, 0.02852356679092349, 0.0012327347728443615, 0.0021899893923762494 ], [ 0.0022179627317117792, 0.004372926504490715, 0.04443246471754213, 0.04341205234051515, -0.14988024798817845, -0.002470810030812648, -0.005056709576641671, -0.002215540143940534, 0.00016967126640030105 ], [ 0.00009172456319866238, 0.0007001124347161037, -0.015438221138287762, -0.010671657762640369, -0.004973091019823585, 0.006667145630148724, 0.00007013680944872175, 0.0010689236116144232, 0.0005357595783767169 ], [ -0.0007343021701933399, -0.0006868159653039904, 0.0012696981828238247, 0.0006005686154478289, -0.0045861089428306315, 0.0015366819505110237, -0.0010561844977279443, 0.00008487855181767005, -0.00010969510525479445 ], [ 0.00020208873881836587, -0.00010829876467602972, -0.00041349691881894694, 0.0003627234139380657, 0.00017169812100489216, 0.0006015815956385483, -0.0002951244559727156, 0.00012216946901626505, 0.000016211894370191538 ] ]

DEYHgLuQf2z8A4kVygy6h9A

{"aspect_ratio": 7.915060061155583, "major_radius": 1.0, "max_elongation": 5.60530852004938, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.001708359119185348, -0.3073370522449185, 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": [[0.7536276925186032, 0.7536297606981451, 0.7536585806291558, 0.7537753582800845, 0.7540703391213098, 0.7546548298137739, 0.7556541991714686, 0.7572016639273115, 0.7594327683745216, 0.7624805019695974, 0.7664710149475078, 0.7715199004855887, 0.777729016910438, 0.7851838265190019, 0.7939512295642812, 0.8040778732468781, 0.8155889163853188, 0.8284872309463261, 0.842753021884237, 0.8583438468189677, 0.8751950170074941, 0.8932203608553022, 0.9123133308834946, 0.9323484346195257, 0.9531829693150011, 0.9746590397081925, 0.9966058372330349, 1.018842158117079, 1.041179136689563, 1.063423168912919, 1.0853789996243832, 1.106852945187151, 1.1276562211480639, 1.14760834200961, 1.1665405572530019, 1.1842992841687618, 1.2007494936874665, 1.2157780000142089, 1.2292965981128394, 1.2412449844616482, 1.2515933852666743, 1.2603448013253906, 1.2675367581483024, 1.273242420705575, 1.2775708888767214, 1.2806664222143147, 1.2827062303484134, 1.2838962614505656, 1.2844640024458127, 1.2846462632298268, 1.2846661147671492], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.853809478683488}

7.91506

1

5.605309

[ [ 0.7536276925186032, 0.7536297606981451, 0.7536585806291558, 0.7537753582800845, 0.7540703391213098, 0.7546548298137739, 0.7556541991714686, 0.7572016639273115, 0.7594327683745216, 0.7624805019695974, 0.7664710149475078, 0.7715199004855887, 0.777729016910438, 0.7851838265190019, 0.7939512295642812, 0.8040778732468781, 0.8155889163853188, 0.8284872309463261, 0.842753021884237, 0.8583438468189677, 0.8751950170074941, 0.8932203608553022, 0.9123133308834946, 0.9323484346195257, 0.9531829693150011, 0.9746590397081925, 0.9966058372330349, 1.018842158117079, 1.041179136689563, 1.063423168912919, 1.0853789996243832, 1.106852945187151, 1.1276562211480639, 1.14760834200961, 1.1665405572530019, 1.1842992841687618, 1.2007494936874665, 1.2157780000142089, 1.2292965981128394, 1.2412449844616482, 1.2515933852666743, 1.2603448013253906, 1.2675367581483024, 1.273242420705575, 1.2775708888767214, 1.2806664222143147, 1.2827062303484134, 1.2838962614505656, 1.2844640024458127, 1.2846462632298268, 1.2846661147671492 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.001708359119185348, -0.3073370522449185, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.853809

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

DY6dBX89EsRwJAwYConWyES

null

false

null

false

DFzduw7Xi82wbvr2yu7ENqY

DgTL4UVrw4Y386Lj2SZnNre

{"qi": 0.0014491085633418623, "vacuum_well": -0.13062152980561817, "aspect_ratio": 9.319706621057762, "max_elongation": 7.040886684376488, "average_triangularity": -0.5211585984665126, "axis_magnetic_mirror_ratio": 0.3707765213083974, "edge_magnetic_mirror_ratio": 0.41220850451830554, "aspect_ratio_over_edge_rotational_transform": 18.08503898003527, "flux_compression_in_regions_of_bad_curvature": 1.8284493729269418, "axis_rotational_transform_over_n_field_periods": 0.23739728492920043, "edge_rotational_transform_over_n_field_periods": 0.2576634374785181, "minimum_normalized_magnetic_gradient_scale_length": 6.281320351233176}

9.319707

18.085039

-0.941606

0.370777

0.237397

0.412209

0.257663

1.828449

7.040887

6.28132

0.001449

-0.130622

{"r_cos":[[0.0,0.0,0.0,0.0,0.9961674219087017,0.005436727382768193,-0.04702800362823433,-0.002869610222119654,0.0013634747742600523],[-0.0035423182941193045,0.0017909863892038393,0.05913629016374421,-0.0316516194446655,0.08574529468938426,-0.0559225414429508,-0.019536255330371594,0.0007470284699909066,0.0006793793697228911],[0.0026051212455378437,0.000021971361205604865,-0.02582313409422532,0.012485790204740782,-0.014117429345819103,0.00246551330728797,-0.002550790392357914,-0.0005051790863609619,0.00035456549487217237],[-0.0014020906514165647,0.000498654567956493,0.004979673580860559,-0.003874355406834962,0.008235316159522634,-0.0011973703758888594,-0.0013701044474090072,0.00040894837025186217,8.707647509977328e-6],[-0.00006330499631792194,0.0004916181337746512,-0.0005538562836959614,0.0009891299023217807,-0.00026071780739329604,-0.00010878315981582062,0.00001696108887500183,-0.00005826194823861392,0.00003303423355787048]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.01131022811900555,0.025461460417075494,0.001922121017377162,-0.0017622986739989927],[-0.0033880623932788846,-0.0033666829895504058,0.054872062191921485,-0.0665421478059971,-0.19294369091571087,0.03704831270825454,0.0098072263834511,-0.0043525664992810215,-0.0012205414979868131],[0.0029567453828921748,-0.0011031229245024956,-0.022939163739278626,0.03238861265530302,-0.001251341598916766,-0.0029036987216973786,0.004088708910083751,0.00033956419845554767,-0.00021999622616378244],[-0.001194544204415191,0.002294438176188661,0.003663813495027859,0.0034958079323155655,-0.009121750110585585,0.0018513291267851502,0.0011469111325532856,-0.00039071154862726967,0.00007605118698079233],[0.00017201778681975345,-0.00018066288822585474,0.0008393096125609968,-0.0002594961456643426,-0.0012268104217910006,0.0005258731116340494,0.00007318868792336743,0.000023561571861015085,-0.00002218012114559626]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9961674219087017, 0.005436727382768193, -0.04702800362823433, -0.002869610222119654, 0.0013634747742600523 ], [ -0.0035423182941193045, 0.0017909863892038393, 0.05913629016374421, -0.0316516194446655, 0.08574529468938426, -0.0559225414429508, -0.019536255330371594, 0.0007470284699909066, 0.0006793793697228911 ], [ 0.0026051212455378437, 0.000021971361205604865, -0.02582313409422532, 0.012485790204740782, -0.014117429345819103, 0.00246551330728797, -0.002550790392357914, -0.0005051790863609619, 0.00035456549487217237 ], [ -0.0014020906514165647, 0.000498654567956493, 0.004979673580860559, -0.003874355406834962, 0.008235316159522634, -0.0011973703758888594, -0.0013701044474090072, 0.00040894837025186217, 0.000008707647509977328 ], [ -0.00006330499631792194, 0.0004916181337746512, -0.0005538562836959614, 0.0009891299023217807, -0.00026071780739329604, -0.00010878315981582062, 0.00001696108887500183, -0.00005826194823861392, 0.00003303423355787048 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.01131022811900555, 0.025461460417075494, 0.001922121017377162, -0.0017622986739989927 ], [ -0.0033880623932788846, -0.0033666829895504058, 0.054872062191921485, -0.0665421478059971, -0.19294369091571087, 0.03704831270825454, 0.0098072263834511, -0.0043525664992810215, -0.0012205414979868131 ], [ 0.0029567453828921748, -0.0011031229245024956, -0.022939163739278626, 0.03238861265530302, -0.001251341598916766, -0.0029036987216973786, 0.004088708910083751, 0.00033956419845554767, -0.00021999622616378244 ], [ -0.001194544204415191, 0.002294438176188661, 0.003663813495027859, 0.0034958079323155655, -0.009121750110585585, 0.0018513291267851502, 0.0011469111325532856, -0.00039071154862726967, 0.00007605118698079233 ], [ 0.00017201778681975345, -0.00018066288822585474, 0.0008393096125609968, -0.0002594961456643426, -0.0012268104217910006, 0.0005258731116340494, 0.00007318868792336743, 0.000023561571861015085, -0.00002218012114559626 ] ]

DDMnGea2dE6vDAc5a7cWnrb

{"aspect_ratio": 11.583402402278466, "major_radius": 1.0, "max_elongation": 6.8143423512569985, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.22736104409608113, 0.024286224556197937, 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": [[0.6319320638709847, 0.63193208676597, 0.6319332430117842, 0.6319435259736799, 0.6319883198625874, 0.6321218172748169, 0.6324366841819082, 0.633070474417074, 0.6342080489722101, 0.6360797925933461, 0.6389558119273041, 0.6431365819399986, 0.648940703000499, 0.656690555740322, 0.6666967066473072, 0.6792419341168966, 0.6945657206007126, 0.7128499987178194, 0.7342068540801048, 0.7586687808637407, 0.786181963074522, 0.8166029198414154, 0.8496987114224563, 0.885150758115749, 0.9225621808677653, 0.9614684337546591, 1.0013508681521976, 1.041652749570093, 1.0817971438703766, 1.1212060027840394, 1.1593197119562508, 1.195616320659434, 1.229629653079686, 1.2609655087513323, 1.2893151960968439, 1.3144657096756556, 1.336305959914721, 1.3548285947097272, 1.3701271158775608, 1.3823881900591493, 1.391879282774687, 1.3989320046162013, 1.4039218477094138, 1.407245304873483, 1.4092956976156668, 1.4104393833881361, 1.4109943535251825, 1.4112135481162447, 1.4112754620721049, 1.41128471556679, 1.4112850029493909], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5171599924870467}

11.583402

1

6.814342

[ [ 0.6319320638709847, 0.63193208676597, 0.6319332430117842, 0.6319435259736799, 0.6319883198625874, 0.6321218172748169, 0.6324366841819082, 0.633070474417074, 0.6342080489722101, 0.6360797925933461, 0.6389558119273041, 0.6431365819399986, 0.648940703000499, 0.656690555740322, 0.6666967066473072, 0.6792419341168966, 0.6945657206007126, 0.7128499987178194, 0.7342068540801048, 0.7586687808637407, 0.786181963074522, 0.8166029198414154, 0.8496987114224563, 0.885150758115749, 0.9225621808677653, 0.9614684337546591, 1.0013508681521976, 1.041652749570093, 1.0817971438703766, 1.1212060027840394, 1.1593197119562508, 1.195616320659434, 1.229629653079686, 1.2609655087513323, 1.2893151960968439, 1.3144657096756556, 1.336305959914721, 1.3548285947097272, 1.3701271158775608, 1.3823881900591493, 1.391879282774687, 1.3989320046162013, 1.4039218477094138, 1.407245304873483, 1.4092956976156668, 1.4104393833881361, 1.4109943535251825, 1.4112135481162447, 1.4112754620721049, 1.41128471556679, 1.4112850029493909 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.22736104409608113, 0.024286224556197937, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.51716

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

DkLzJqP6xaEaJgWuy5akhYV

null

false

null

false

DYDxjyGAgKUjwPj2zZkQ2FS

DMBGsB2Asp5bZoqXtkzzwmk

{"qi": 0.01522776852943749, "vacuum_well": -0.018876502803135273, "aspect_ratio": 9.848819251080679, "max_elongation": 4.744546891416833, "average_triangularity": 3.8031904259154536e-05, "axis_magnetic_mirror_ratio": 0.1541718153938284, "edge_magnetic_mirror_ratio": 0.21371192694082303, "aspect_ratio_over_edge_rotational_transform": 57.26376307972323, "flux_compression_in_regions_of_bad_curvature": 0.6140002743961408, "axis_rotational_transform_over_n_field_periods": 0.21192745411043298, "edge_rotational_transform_over_n_field_periods": 0.17199043027209102, "minimum_normalized_magnetic_gradient_scale_length": 4.455374545925304}

9.848819

57.263763

-0.067938

0.154172

0.211927

0.213712

0.17199

0.614

4.744547

4.455375

0.015228

-0.018877

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0034747412017224924,-0.20659185999435226,-0.00017281428858840694,0.00951741016801173],[0.0057741198865843306,-0.01441586048602726,0.03137581073268188,-0.010860568950341674,0.0864333204942139,-0.01313469373647819,0.00913673355662425,0.004557353661524568,-0.0008003164419999632],[-0.000655173146300565,0.0006819949835600787,-0.00069273061204013,-0.0012088007046952842,-0.0018797056815392718,-0.0008998862497897947,0.00027461679395883,-0.00010727571157929521,0.00017897332955317823],[-0.00004803639233851986,0.00015524382375786173,0.0007856163753921378,0.0004568505687495193,-0.003904731223356183,0.0003460920050897708,0.00014272177072036563,-0.0013716203760473465,0.00014497405298113074],[0.0001323201094925995,-3.7896642454584694e-6,-0.00019917214993971484,0.001076532419886055,-0.0010058519819600472,0.0009203613527081237,-0.00007229147608943604,-0.00010193871022390353,0.000024222601177198537]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0077383763354335975,0.032496218692248044,-0.008244641106639718,-0.000993089352369858],[0.002331825326679471,-0.008001055079104471,0.05060325879661025,0.001314724360481296,-0.13576769311299475,0.001188451228352187,0.0065228776879097256,-0.002146640938117084,0.0004825746143260198],[-0.0004503993872995803,0.0004900704406706514,-0.0025206539390082126,-0.0009521861215252131,0.0063028586647456974,-0.0006556389258603667,-0.0025418007146696944,-0.00037119362933816136,-0.000014235844755659252],[-0.0004467015364211828,0.0006225659140877637,-0.001276746062273714,-0.002607624046926815,0.020604041371111437,0.00475008104523062,-0.0026466986175012514,0.00022772195597680183,-0.0001251196094576136],[0.0000714992419744797,-0.000023978984580802338,-0.0004941102382310205,-0.00019907396929559485,0.0007541681324537548,0.00016831277604408823,9.940096256131324e-6,0.000026443413193390097,-0.000025245321411028505]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.0034747412017224924, -0.20659185999435226, -0.00017281428858840694, 0.00951741016801173 ], [ 0.0057741198865843306, -0.01441586048602726, 0.03137581073268188, -0.010860568950341674, 0.0864333204942139, -0.01313469373647819, 0.00913673355662425, 0.004557353661524568, -0.0008003164419999632 ], [ -0.000655173146300565, 0.0006819949835600787, -0.00069273061204013, -0.0012088007046952842, -0.0018797056815392718, -0.0008998862497897947, 0.00027461679395883, -0.00010727571157929521, 0.00017897332955317823 ], [ -0.00004803639233851986, 0.00015524382375786173, 0.0007856163753921378, 0.0004568505687495193, -0.003904731223356183, 0.0003460920050897708, 0.00014272177072036563, -0.0013716203760473465, 0.00014497405298113074 ], [ 0.0001323201094925995, -0.0000037896642454584694, -0.00019917214993971484, 0.001076532419886055, -0.0010058519819600472, 0.0009203613527081237, -0.00007229147608943604, -0.00010193871022390353, 0.000024222601177198537 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0077383763354335975, 0.032496218692248044, -0.008244641106639718, -0.000993089352369858 ], [ 0.002331825326679471, -0.008001055079104471, 0.05060325879661025, 0.001314724360481296, -0.13576769311299475, 0.001188451228352187, 0.0065228776879097256, -0.002146640938117084, 0.0004825746143260198 ], [ -0.0004503993872995803, 0.0004900704406706514, -0.0025206539390082126, -0.0009521861215252131, 0.0063028586647456974, -0.0006556389258603667, -0.0025418007146696944, -0.00037119362933816136, -0.000014235844755659252 ], [ -0.0004467015364211828, 0.0006225659140877637, -0.001276746062273714, -0.002607624046926815, 0.020604041371111437, 0.00475008104523062, -0.0026466986175012514, 0.00022772195597680183, -0.0001251196094576136 ], [ 0.0000714992419744797, -0.000023978984580802338, -0.0004941102382310205, -0.00019907396929559485, 0.0007541681324537548, 0.00016831277604408823, 0.000009940096256131324, 0.000026443413193390097, -0.000025245321411028505 ] ]

DSXs8eM4ZcevYjrZYih7Na3

{"aspect_ratio": 10.473214893790871, "major_radius": 1.0, "max_elongation": 4.504725248056111, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04563896302123869, 0.21968212441298202, 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": [[0.8470132883945916, 0.8470133590658219, 0.8470157566678017, 0.8470323766659527, 0.8470928563955474, 0.8472495455393867, 0.8475790436086397, 0.8481807058532018, 0.8491727076091089, 0.8506863094268051, 0.8528589546511264, 0.8558267867645593, 0.859717110559104, 0.864641247622489, 0.8706881581227037, 0.8779191210982386, 0.8863636869824503, 0.8960170407822665, 0.9068388435870779, 0.9187535549514522, 0.9316521799657801, 0.9453953330930863, 0.9598174665393161, 0.9747320743381717, 0.9899376546581259, 1.0052241921694611, 1.0203799096468795, 1.0351980332523374, 1.0494833189919344, 1.0630580984460243, 1.0757676197374817, 1.0874844844609237, 1.0981120125020327, 1.1075864038076197, 1.1158776086140165, 1.122988864698387, 1.1289549110709083, 1.1338389412362633, 1.137728414632588, 1.140729900836322, 1.142963186108489, 1.144554924069116, 1.1456321595566354, 1.1463160943681654, 1.1467164921431612, 1.1469271325751964, 1.1470227160341109, 1.147057579045668, 1.1470664934037877, 1.14706765814464, 1.1470676875050474], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.27258332827039045}

10.473215

1

4.504725

[ [ 0.8470132883945916, 0.8470133590658219, 0.8470157566678017, 0.8470323766659527, 0.8470928563955474, 0.8472495455393867, 0.8475790436086397, 0.8481807058532018, 0.8491727076091089, 0.8506863094268051, 0.8528589546511264, 0.8558267867645593, 0.859717110559104, 0.864641247622489, 0.8706881581227037, 0.8779191210982386, 0.8863636869824503, 0.8960170407822665, 0.9068388435870779, 0.9187535549514522, 0.9316521799657801, 0.9453953330930863, 0.9598174665393161, 0.9747320743381717, 0.9899376546581259, 1.0052241921694611, 1.0203799096468795, 1.0351980332523374, 1.0494833189919344, 1.0630580984460243, 1.0757676197374817, 1.0874844844609237, 1.0981120125020327, 1.1075864038076197, 1.1158776086140165, 1.122988864698387, 1.1289549110709083, 1.1338389412362633, 1.137728414632588, 1.140729900836322, 1.142963186108489, 1.144554924069116, 1.1456321595566354, 1.1463160943681654, 1.1467164921431612, 1.1469271325751964, 1.1470227160341109, 1.147057579045668, 1.1470664934037877, 1.14706765814464, 1.1470676875050474 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.04563896302123869, 0.21968212441298202, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.272583

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

DgMFoxiZK38vSJb7CcyD4A8

null

false

null

false

DUEPPHS9fDPDFn6tAtwTSLL

D7wqAYdXYSn8Z4Qp7FyEfx2

{"qi": 0.015732690547804684, "vacuum_well": -0.13347593812730468, "aspect_ratio": 10.26594004414353, "max_elongation": 4.470479990958937, "average_triangularity": -0.19414525817778816, "axis_magnetic_mirror_ratio": 0.11167908327389972, "edge_magnetic_mirror_ratio": 0.17079789840451956, "aspect_ratio_over_edge_rotational_transform": 10.624978784457227, "flux_compression_in_regions_of_bad_curvature": 1.2847725631679927, "axis_rotational_transform_over_n_field_periods": 0.20242135688796464, "edge_rotational_transform_over_n_field_periods": 0.1932416102168803, "minimum_normalized_magnetic_gradient_scale_length": 11.197781004239749}

10.26594

10.624979

-0.218406

0.111679

0.202421

0.170798

0.193242

1.284773

4.47048

11.197781

0.015733

-0.133476

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.003986630189207449,-0.006573262431026359,0.00119833644794451,0.00017023659914041202],[0.00016216504005936742,-0.0007248677923623778,0.016170832744068338,-0.07081187807722769,0.08395314078021096,0.013442361958256384,0.0003685850822477358,-0.0004942418560713503,-0.0000657645390500306],[-0.0003396224850081567,0.0023432363623470606,-0.013812962892938898,0.01775358681282198,0.004937631932874435,0.004494159231597014,-0.0003649090347290435,-0.00020290884741885787,-0.0000850596857149396],[0.0001475359691805526,-0.0014097675060439066,0.0031902647209027923,-0.0007147226682616,0.0038948452827302273,0.0005767502759520199,-0.000035026838968909386,-0.00023508451634495387,-0.00005658953674426528],[-0.00009594376613234044,0.00037674172449551815,-0.00008169261889931202,0.00024643737659782645,0.00032461958576958524,0.00034171401809108735,-0.00019508382464594265,-0.00005649048946370803,-0.00001562147034643547]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.031579199399132896,0.007018937723367081,-0.000999823440610202,0.0000556309867759293],[0.0003447181344882243,-0.0035808151381358,0.020031742019635333,-0.0366512730603605,-0.15272239181615,-0.010484274210239277,-0.0012341311560208675,0.00004898807937626145,-0.00006124207938966282],[-0.0008262445518544023,0.0036702499775881333,-0.012599834352675426,0.005804914938788776,-0.016551178251878736,-0.006438715654342549,0.0009574466246636583,0.0001677220664969988,0.00009817471122430154],[0.00046344793187274387,-0.0006630185862395129,-0.0006784607900945485,0.006380024428090134,-0.0015349299741431884,-0.0008946616303583369,-0.00008845539967952464,0.00011992325200983203,3.4054465679938997e-6],[-0.00010739501862613832,-0.00032291806842715386,0.000816027300391353,-0.0002467286151389777,-8.64051227321438e-6,0.00010982655334656,0.00014723368177265746,-0.00003160539464990022,-8.119217009421508e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.003986630189207449, -0.006573262431026359, 0.00119833644794451, 0.00017023659914041202 ], [ 0.00016216504005936742, -0.0007248677923623778, 0.016170832744068338, -0.07081187807722769, 0.08395314078021096, 0.013442361958256384, 0.0003685850822477358, -0.0004942418560713503, -0.0000657645390500306 ], [ -0.0003396224850081567, 0.0023432363623470606, -0.013812962892938898, 0.01775358681282198, 0.004937631932874435, 0.004494159231597014, -0.0003649090347290435, -0.00020290884741885787, -0.0000850596857149396 ], [ 0.0001475359691805526, -0.0014097675060439066, 0.0031902647209027923, -0.0007147226682616, 0.0038948452827302273, 0.0005767502759520199, -0.000035026838968909386, -0.00023508451634495387, -0.00005658953674426528 ], [ -0.00009594376613234044, 0.00037674172449551815, -0.00008169261889931202, 0.00024643737659782645, 0.00032461958576958524, 0.00034171401809108735, -0.00019508382464594265, -0.00005649048946370803, -0.00001562147034643547 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.031579199399132896, 0.007018937723367081, -0.000999823440610202, 0.0000556309867759293 ], [ 0.0003447181344882243, -0.0035808151381358, 0.020031742019635333, -0.0366512730603605, -0.15272239181615, -0.010484274210239277, -0.0012341311560208675, 0.00004898807937626145, -0.00006124207938966282 ], [ -0.0008262445518544023, 0.0036702499775881333, -0.012599834352675426, 0.005804914938788776, -0.016551178251878736, -0.006438715654342549, 0.0009574466246636583, 0.0001677220664969988, 0.00009817471122430154 ], [ 0.00046344793187274387, -0.0006630185862395129, -0.0006784607900945485, 0.006380024428090134, -0.0015349299741431884, -0.0008946616303583369, -0.00008845539967952464, 0.00011992325200983203, 0.0000034054465679938997 ], [ -0.00010739501862613832, -0.00032291806842715386, 0.000816027300391353, -0.0002467286151389777, -0.00000864051227321438, 0.00010982655334656, 0.00014723368177265746, -0.00003160539464990022, -0.000008119217009421508 ] ]

DfJLbjLs6hkW9jt9ijgTivd

{"aspect_ratio": 10.673207088638128, "major_radius": 1.0, "max_elongation": 4.186098999705935, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.21397089302301325, 0.06862536991156098, 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": [[0.895127618524828, 0.895127632302881, 0.8951281463522458, 0.8951319702810868, 0.8951467373689944, 0.8951870851618297, 0.8952762304806164, 0.8954468534083591, 0.8957412833672648, 0.8962110242413611, 0.8969156825577252, 0.8979213799518226, 0.8992987418814132, 0.9011205606966978, 0.9034592338697761, 0.9063840781864089, 0.9099586185281645, 0.914237945899706, 0.9192662338665384, 0.9250744957814303, 0.9316786572666299, 0.9390780095255132, 0.9472540992994336, 0.9561701007638445, 0.9657707034596492, 0.9759825385588137, 0.9867151534378876, 0.9978625317443881, 1.0093051429506865, 1.0209124918579557, 1.0325461246983492, 1.0440630344475539, 1.0553193937657717, 1.0661745297015062, 1.076495039995165, 1.0861589365949817, 1.0950596879477195, 1.1031100178738402, 1.110245305534264, 1.116426418339856, 1.1216417979058062, 1.1259086086685748, 1.1292727500727404, 1.131807527057335, 1.1336107711121048, 1.134800207401506, 1.1355068758817457, 1.1358664428583913, 1.1360082994379106, 1.1360424764637833, 1.1360447726671385], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0230513205327356}

10.673207

1

4.186099

[ [ 0.895127618524828, 0.895127632302881, 0.8951281463522458, 0.8951319702810868, 0.8951467373689944, 0.8951870851618297, 0.8952762304806164, 0.8954468534083591, 0.8957412833672648, 0.8962110242413611, 0.8969156825577252, 0.8979213799518226, 0.8992987418814132, 0.9011205606966978, 0.9034592338697761, 0.9063840781864089, 0.9099586185281645, 0.914237945899706, 0.9192662338665384, 0.9250744957814303, 0.9316786572666299, 0.9390780095255132, 0.9472540992994336, 0.9561701007638445, 0.9657707034596492, 0.9759825385588137, 0.9867151534378876, 0.9978625317443881, 1.0093051429506865, 1.0209124918579557, 1.0325461246983492, 1.0440630344475539, 1.0553193937657717, 1.0661745297015062, 1.076495039995165, 1.0861589365949817, 1.0950596879477195, 1.1031100178738402, 1.110245305534264, 1.116426418339856, 1.1216417979058062, 1.1259086086685748, 1.1292727500727404, 1.131807527057335, 1.1336107711121048, 1.134800207401506, 1.1355068758817457, 1.1358664428583913, 1.1360082994379106, 1.1360424764637833, 1.1360447726671385 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.21397089302301325, 0.06862536991156098, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.023051

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

D6jRenre8Sm9XnSX5tWMhQQ

null

false

null

false

DbShUj5PcjnAfMSLyeV6zUQ

DCwmhfrB7TKcUHkmzDaMCU8

{"qi": 0.01046846823367287, "vacuum_well": -0.42082947070243076, "aspect_ratio": 6.206195483656618, "max_elongation": 3.813272354206179, "average_triangularity": -0.04840070030578149, "axis_magnetic_mirror_ratio": 0.7484998315258824, "edge_magnetic_mirror_ratio": 0.9138121920528297, "aspect_ratio_over_edge_rotational_transform": 8.486138609531618, "flux_compression_in_regions_of_bad_curvature": 0.8605592017944721, "axis_rotational_transform_over_n_field_periods": 0.1894983803357454, "edge_rotational_transform_over_n_field_periods": 0.24377775606468913, "minimum_normalized_magnetic_gradient_scale_length": 2.2796409047697055}

6.206195

8.486139

-0.145027

0.7485

0.189498

0.913812

0.243778

0.860559

3.813272

2.279641

0.010468

-0.420829

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.003588722210872145,-0.02817429228747648,-0.01223754267204458,-0.0023774649373249283],[-0.002074183328274149,-0.0029851302341635964,0.06537183268908499,-0.04484006117276701,0.13659185686587863,-0.03649940939879928,0.009706238004796277,-0.007787681234432196,0.00006534576087450497],[-0.000941588571907671,0.0036174042368337456,-0.006917662005311675,-0.0010397201030098659,-0.01669726810432479,0.007025398291087743,-0.008693184406475124,0.003806126994601643,-0.0014389950770323178],[-0.002172963790864472,-0.001698974698313688,0.0023204877422996306,-0.0025489543189444633,0.002454969399951937,-0.0015070971457698287,0.0006466126680821399,0.0002025995342410979,-0.000327382783056107],[0.0006856298730221273,-0.000540411414651204,0.0010641033373960866,0.00004516249854456334,0.00011887300700136329,-0.0005023378729900993,0.0006175583982056823,-0.0004630379286365376,0.00011678940975975386]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.022274806777134254,0.0067855069931441175,0.007076599350576124,0.0015222285441606163],[0.00017165988060613947,0.00756719083437013,0.0449161224347807,0.03142317245626029,-0.17925854715446266,0.030854914722966947,-0.023534092804206274,0.005468071269859114,-0.00008605601718838284],[-0.0007858180546254324,-0.0024222017476882105,-0.005742559346109423,-0.0038122772974273386,0.002206321291737368,-0.0013635965044666745,0.0051570859044314825,-0.003590830940434749,0.0012917182649877417],[-0.0010807183019071655,-0.00031346870409493157,0.006306258026905978,0.003043871338575934,-0.008843802320139529,0.00845241194998789,-0.005615906885996769,0.0017023035020263507,0.000048684010442036785],[0.00019147715671014747,0.002202521341638096,-0.005921681012276982,0.0073715673515049405,-0.006065245655365831,0.002035228372042012,-0.00025688338844166107,-0.00033912772593977525,0.00027195771343710667]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.003588722210872145, -0.02817429228747648, -0.01223754267204458, -0.0023774649373249283 ], [ -0.002074183328274149, -0.0029851302341635964, 0.06537183268908499, -0.04484006117276701, 0.13659185686587863, -0.03649940939879928, 0.009706238004796277, -0.007787681234432196, 0.00006534576087450497 ], [ -0.000941588571907671, 0.0036174042368337456, -0.006917662005311675, -0.0010397201030098659, -0.01669726810432479, 0.007025398291087743, -0.008693184406475124, 0.003806126994601643, -0.0014389950770323178 ], [ -0.002172963790864472, -0.001698974698313688, 0.0023204877422996306, -0.0025489543189444633, 0.002454969399951937, -0.0015070971457698287, 0.0006466126680821399, 0.0002025995342410979, -0.000327382783056107 ], [ 0.0006856298730221273, -0.000540411414651204, 0.0010641033373960866, 0.00004516249854456334, 0.00011887300700136329, -0.0005023378729900993, 0.0006175583982056823, -0.0004630379286365376, 0.00011678940975975386 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.022274806777134254, 0.0067855069931441175, 0.007076599350576124, 0.0015222285441606163 ], [ 0.00017165988060613947, 0.00756719083437013, 0.0449161224347807, 0.03142317245626029, -0.17925854715446266, 0.030854914722966947, -0.023534092804206274, 0.005468071269859114, -0.00008605601718838284 ], [ -0.0007858180546254324, -0.0024222017476882105, -0.005742559346109423, -0.0038122772974273386, 0.002206321291737368, -0.0013635965044666745, 0.0051570859044314825, -0.003590830940434749, 0.0012917182649877417 ], [ -0.0010807183019071655, -0.00031346870409493157, 0.006306258026905978, 0.003043871338575934, -0.008843802320139529, 0.00845241194998789, -0.005615906885996769, 0.0017023035020263507, 0.000048684010442036785 ], [ 0.00019147715671014747, 0.002202521341638096, -0.005921681012276982, 0.0073715673515049405, -0.006065245655365831, 0.002035228372042012, -0.00025688338844166107, -0.00033912772593977525, 0.00027195771343710667 ] ]

DcgQcRhNaSADnMoZAgGTDrb

{"aspect_ratio": 6.07782640177783, "major_radius": 1.0, "max_elongation": 4.578492705367536, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.25097766601531757, 0.19825633605194024, 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": [[0.819285424624614, 0.8193368753509009, 0.8196869420518137, 0.8205917417329709, 0.822254689881971, 0.8248287677458582, 0.8284205110907044, 0.8330944689962113, 0.8388777710200666, 0.8457646476593301, 0.8537208244238774, 0.8626877439735969, 0.8725865885100432, 0.8833220847830927, 0.8947860803585646, 0.9068608839194431, 0.9194223652234262, 0.9323428123964459, 0.9454935457859052, 0.9587472887992375, 0.9719802971211636, 0.9850742485078623, 0.9979178960466152, 1.0104084883794082, 1.0224529609432926, 1.0339689027977141, 1.0448853041042525, 1.0551430898093621, 1.0646954455662758, 1.0735079424279181, 1.081558467357857, 1.0888369671507707, 1.0953450139382614, 1.1010952010922002, 1.1061103790405604, 1.110422741297556, 1.114072771903075, 1.1171080664947874, 1.1195820404381065, 1.1215525388664505, 1.1230803652095216, 1.1242277469147972, 1.1250567597515206, 1.125627735564822, 1.125997683002292, 1.1262187572148923, 1.126336824015863, 1.1263901787985566, 1.1264085058812547, 1.126412213810075, 1.126412408224843], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6564257451970882}

6.077826

1

4.578493

[ [ 0.819285424624614, 0.8193368753509009, 0.8196869420518137, 0.8205917417329709, 0.822254689881971, 0.8248287677458582, 0.8284205110907044, 0.8330944689962113, 0.8388777710200666, 0.8457646476593301, 0.8537208244238774, 0.8626877439735969, 0.8725865885100432, 0.8833220847830927, 0.8947860803585646, 0.9068608839194431, 0.9194223652234262, 0.9323428123964459, 0.9454935457859052, 0.9587472887992375, 0.9719802971211636, 0.9850742485078623, 0.9979178960466152, 1.0104084883794082, 1.0224529609432926, 1.0339689027977141, 1.0448853041042525, 1.0551430898093621, 1.0646954455662758, 1.0735079424279181, 1.081558467357857, 1.0888369671507707, 1.0953450139382614, 1.1010952010922002, 1.1061103790405604, 1.110422741297556, 1.114072771903075, 1.1171080664947874, 1.1195820404381065, 1.1215525388664505, 1.1230803652095216, 1.1242277469147972, 1.1250567597515206, 1.125627735564822, 1.125997683002292, 1.1262187572148923, 1.126336824015863, 1.1263901787985566, 1.1264085058812547, 1.126412213810075, 1.126412408224843 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.25097766601531757, 0.19825633605194024, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.656426

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

DSjgRARB3hAyJqBnqmYb5gG

null

false

null

false

DCuh4XrCp2C59bJZ3X6F2iM

DTWtyydxxzqnkMkw2NhpzWF

{"qi": 0.044988025080847545, "vacuum_well": -0.06914910573678465, "aspect_ratio": 8.199420582059776, "max_elongation": 5.588803528293581, "average_triangularity": -0.427885191074548, "axis_magnetic_mirror_ratio": 0.5210142437518706, "edge_magnetic_mirror_ratio": 0.847321558467086, "aspect_ratio_over_edge_rotational_transform": 7.669420170160577, "flux_compression_in_regions_of_bad_curvature": 1.5258011768763056, "axis_rotational_transform_over_n_field_periods": 0.23998499365278017, "edge_rotational_transform_over_n_field_periods": 0.2138211338051675, "minimum_normalized_magnetic_gradient_scale_length": 2.3135365616292978}

8.199421

7.66942

-0.388692

0.521014

0.239985

0.847322

0.213821

1.525801

5.588804

2.313537

0.044988

-0.069149

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.15102429425727842,-0.03578414027287376,-0.006411792050558904,0.00046294539209706075],[0.00006522621702175575,0.00908297840545672,0.03911186364381852,0.041166058915040646,0.09546132276708968,-0.027697505816010062,0.006381434335431587,0.002055699049874605,0.00014319333047593905],[-0.00004110953868043317,-0.005404258199311273,-0.012819865975053517,0.0010724225308899218,-0.005100603083581734,-0.006200409398855133,0.0017322643898791531,-0.001261360050333801,-0.00012405021010164122],[-0.0001427148542146754,0.0006741883890776244,0.002351211645440113,0.001954063784681329,-0.00023728220501484636,-0.0006748568286371002,0.0009639866519839083,-0.00042426326390514635,0.0001370978939270243],[-9.589954664311639e-6,0.000047300040568771986,-0.000281754555127176,0.00017179254968375125,-0.0004781496007071496,0.0002569194250135352,-0.00015575985043515686,-2.618721122684374e-6,-2.9664967845500993e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07612737687737277,0.028924460489188484,0.0027858105140817907,0.0014734414510198229],[0.001969081183579564,0.014941339412015189,0.05352127752535066,0.011878796984688404,-0.16938006000898576,0.033863602717380085,-0.008723123159409433,-0.001229789736856111,-0.0008630484859132599],[-0.0008847775985104978,-0.009382103676266807,-0.01833196402276156,0.002422982650150104,-0.0003823554234642642,0.0026471065908183302,0.0008442261946362863,0.0008722233507193027,0.0002835618333171904],[-0.00019026999617147183,-0.0004990986180689086,-0.004856533713169627,-0.00488895398617315,-0.0002141812496100737,0.0002508382306190219,-0.0013053248303106393,0.000601916935427953,-0.00022889890440178258],[-0.00014012483493344588,-0.0008893574827221707,-0.00006312013880925018,0.000442176554146384,0.0008747221603199623,-0.0008717513948907803,0.00047296195904404106,-0.00009033567995335462,0.000023199279735669747]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.15102429425727842, -0.03578414027287376, -0.006411792050558904, 0.00046294539209706075 ], [ 0.00006522621702175575, 0.00908297840545672, 0.03911186364381852, 0.041166058915040646, 0.09546132276708968, -0.027697505816010062, 0.006381434335431587, 0.002055699049874605, 0.00014319333047593905 ], [ -0.00004110953868043317, -0.005404258199311273, -0.012819865975053517, 0.0010724225308899218, -0.005100603083581734, -0.006200409398855133, 0.0017322643898791531, -0.001261360050333801, -0.00012405021010164122 ], [ -0.0001427148542146754, 0.0006741883890776244, 0.002351211645440113, 0.001954063784681329, -0.00023728220501484636, -0.0006748568286371002, 0.0009639866519839083, -0.00042426326390514635, 0.0001370978939270243 ], [ -0.000009589954664311639, 0.000047300040568771986, -0.000281754555127176, 0.00017179254968375125, -0.0004781496007071496, 0.0002569194250135352, -0.00015575985043515686, -0.000002618721122684374, -0.0000029664967845500993 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07612737687737277, 0.028924460489188484, 0.0027858105140817907, 0.0014734414510198229 ], [ 0.001969081183579564, 0.014941339412015189, 0.05352127752535066, 0.011878796984688404, -0.16938006000898576, 0.033863602717380085, -0.008723123159409433, -0.001229789736856111, -0.0008630484859132599 ], [ -0.0008847775985104978, -0.009382103676266807, -0.01833196402276156, 0.002422982650150104, -0.0003823554234642642, 0.0026471065908183302, 0.0008442261946362863, 0.0008722233507193027, 0.0002835618333171904 ], [ -0.00019026999617147183, -0.0004990986180689086, -0.004856533713169627, -0.00488895398617315, -0.0002141812496100737, 0.0002508382306190219, -0.0013053248303106393, 0.000601916935427953, -0.00022889890440178258 ], [ -0.00014012483493344588, -0.0008893574827221707, -0.00006312013880925018, 0.000442176554146384, 0.0008747221603199623, -0.0008717513948907803, 0.00047296195904404106, -0.00009033567995335462, 0.000023199279735669747 ] ]

DfbYttqcdmE659R4qZDWLto

{"aspect_ratio": 7.042250080401474, "major_radius": 1.0, "max_elongation": 4.9912363076389035, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.3264472607915581, -0.3021392746898524, 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": [[0.7768742697945904, 0.7768919242944334, 0.7770649393803986, 0.7776214463259319, 0.778806614582597, 0.7808524163705952, 0.7839614359153191, 0.7882977880640638, 0.7939824695249424, 0.8010917301112596, 0.8096575923865553, 0.8196699272872688, 0.8310796560381837, 0.8438027522267837, 0.8577247883450781, 0.872705821632572, 0.888585451890361, 0.9051879133047361, 0.9223270858150752, 0.9398113308522568, 0.9574480724711126, 0.9750480587674456, 0.9924292505471067, 1.0094202948931594, 1.0258635508475167, 1.041617643105314, 1.0565595275830968, 1.0705860600988786, 1.0836150662999764, 1.0955859174803324, 1.1064596231154553, 1.1162184568721232, 1.1248651385758828, 1.1324216001912026, 1.1389273693327833, 1.144437609226685, 1.149020859422137, 1.1527565269677114, 1.1557321832635037, 1.1580407274481193, 1.159777483054746, 1.161037300876412, 1.1619117476544845, 1.1624864675412014, 1.162838811575186, 1.1630358401005652, 1.1631328149107545, 1.163172313275494, 1.1631841176767252, 1.1631860695675846, 1.1631861431143014], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.2112981884188432}

7.04225

1

4.991236

[ [ 0.7768742697945904, 0.7768919242944334, 0.7770649393803986, 0.7776214463259319, 0.778806614582597, 0.7808524163705952, 0.7839614359153191, 0.7882977880640638, 0.7939824695249424, 0.8010917301112596, 0.8096575923865553, 0.8196699272872688, 0.8310796560381837, 0.8438027522267837, 0.8577247883450781, 0.872705821632572, 0.888585451890361, 0.9051879133047361, 0.9223270858150752, 0.9398113308522568, 0.9574480724711126, 0.9750480587674456, 0.9924292505471067, 1.0094202948931594, 1.0258635508475167, 1.041617643105314, 1.0565595275830968, 1.0705860600988786, 1.0836150662999764, 1.0955859174803324, 1.1064596231154553, 1.1162184568721232, 1.1248651385758828, 1.1324216001912026, 1.1389273693327833, 1.144437609226685, 1.149020859422137, 1.1527565269677114, 1.1557321832635037, 1.1580407274481193, 1.159777483054746, 1.161037300876412, 1.1619117476544845, 1.1624864675412014, 1.162838811575186, 1.1630358401005652, 1.1631328149107545, 1.163172313275494, 1.1631841176767252, 1.1631860695675846, 1.1631861431143014 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.3264472607915581, -0.3021392746898524, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.211298

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

DVZrRN9vByyRKN5cqu3Pijq

null

false

null

false

Dgi6Zb6RZ7PQ74guyVe3Aja

D4ZnTgooe8t6qQXB4mZMF6n

{"qi": 0.0016782017460301344, "vacuum_well": -0.10149587374549601, "aspect_ratio": 9.520657182214611, "max_elongation": 7.157162987099387, "average_triangularity": -0.47478649395944883, "axis_magnetic_mirror_ratio": 0.3440531295501008, "edge_magnetic_mirror_ratio": 0.396887092900098, "aspect_ratio_over_edge_rotational_transform": 22.418371648848595, "flux_compression_in_regions_of_bad_curvature": 1.6881199084726808, "axis_rotational_transform_over_n_field_periods": 0.215670326963974, "edge_rotational_transform_over_n_field_periods": 0.2123405154339921, "minimum_normalized_magnetic_gradient_scale_length": 3.917237763747937}

9.520657

22.418372

-0.642386

0.344053

0.21567

0.396887

0.212341

1.68812

7.157163

3.917238

0.001678

-0.101496

{"r_cos":[[0.0,0.0,0.0,0.0,0.9943206115027523,-0.13026840581565707,-0.02341765361327866,0.016700101036342334,-0.005860638428996516],[-0.0004996850474249636,-0.016592773107768043,-0.012606186819014573,-0.03502374299929757,0.122843147670051,-0.008435033328318294,0.013508545036006986,-0.0063984969794421975,-0.00004379949430052357],[0.0002759414119885073,-0.005762209360499603,-0.01595927907339113,0.010930626037736793,-0.008357158056754027,0.0033276151043527898,0.006555035243885608,-0.0019135248328720949,0.000025041829316350245],[0.00037079838923981495,0.0027859518414272795,0.0017097148596750599,-0.005696923544626083,0.006108639143374426,-0.0008506833413892104,-0.00006280586243548152,-0.0000498141094471508,0.00014268685134338755],[0.0001585928810242805,0.0010726566180598379,-0.00047146807534826566,-0.0017532797641984744,-0.0018273328437170236,0.0011184575994982833,0.0009924406486536157,-0.0006716595920646012,0.00014539388570215082]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.18223578272571217,0.038708596168838275,-0.009081448735325372,-1.8953604454044448e-6],[-0.002112111661527722,-0.008168907352394448,0.03246969543727308,-0.12039300855130683,-0.12247287036779747,0.0993468980126554,-0.02298068064504156,0.001477750142944512,0.0008753943152127782],[0.001321040839106137,-0.00042907855967132984,-0.018479560956141405,-0.007272124951549673,-0.014480760620951565,-0.006252856021448394,0.002900619474706527,-0.00015019969340032842,-0.00018049767860711077],[0.0002650416794034232,0.0008288150892894427,-0.004572339535142566,0.0035449994041474673,0.002662184580424171,0.002779703531486751,-0.00436808996847036,0.0013703182349404756,-0.00011923265786372678],[0.00018960412579874003,0.0004970221792946804,0.00031188433061289655,0.0001955042934911557,-0.00018424963836407172,0.0001369279769352602,-0.0007602880123961722,0.0003732266509939158,-0.00010482103874443556]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9943206115027523, -0.13026840581565707, -0.02341765361327866, 0.016700101036342334, -0.005860638428996516 ], [ -0.0004996850474249636, -0.016592773107768043, -0.012606186819014573, -0.03502374299929757, 0.122843147670051, -0.008435033328318294, 0.013508545036006986, -0.0063984969794421975, -0.00004379949430052357 ], [ 0.0002759414119885073, -0.005762209360499603, -0.01595927907339113, 0.010930626037736793, -0.008357158056754027, 0.0033276151043527898, 0.006555035243885608, -0.0019135248328720949, 0.000025041829316350245 ], [ 0.00037079838923981495, 0.0027859518414272795, 0.0017097148596750599, -0.005696923544626083, 0.006108639143374426, -0.0008506833413892104, -0.00006280586243548152, -0.0000498141094471508, 0.00014268685134338755 ], [ 0.0001585928810242805, 0.0010726566180598379, -0.00047146807534826566, -0.0017532797641984744, -0.0018273328437170236, 0.0011184575994982833, 0.0009924406486536157, -0.0006716595920646012, 0.00014539388570215082 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.18223578272571217, 0.038708596168838275, -0.009081448735325372, -0.0000018953604454044448 ], [ -0.002112111661527722, -0.008168907352394448, 0.03246969543727308, -0.12039300855130683, -0.12247287036779747, 0.0993468980126554, -0.02298068064504156, 0.001477750142944512, 0.0008753943152127782 ], [ 0.001321040839106137, -0.00042907855967132984, -0.018479560956141405, -0.007272124951549673, -0.014480760620951565, -0.006252856021448394, 0.002900619474706527, -0.00015019969340032842, -0.00018049767860711077 ], [ 0.0002650416794034232, 0.0008288150892894427, -0.004572339535142566, 0.0035449994041474673, 0.002662184580424171, 0.002779703531486751, -0.00436808996847036, 0.0013703182349404756, -0.00011923265786372678 ], [ 0.00018960412579874003, 0.0004970221792946804, 0.00031188433061289655, 0.0001955042934911557, -0.00018424963836407172, 0.0001369279769352602, -0.0007602880123961722, 0.0003732266509939158, -0.00010482103874443556 ] ]

D3ujHQQvHMfLof6fxvcmPFe

{"aspect_ratio": 9.894006711305904, "major_radius": 1.0, "max_elongation": 6.592484503905123, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1293759604683966, -0.22204606184544176, 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": [[0.6824940729392648, 0.6824941710218617, 0.6824969730095533, 0.6825147195656669, 0.6825760938773744, 0.6827306752104546, 0.6830513550218528, 0.6836350126019217, 0.6846017037048049, 0.6860925908093323, 0.6882668262614665, 0.6912975858368262, 0.6953674386031168, 0.7006632285332831, 0.7073706336543967, 0.715668559327089, 0.725723513345088, 0.7376841017891175, 0.7516757758623137, 0.7677959511937335, 0.7861096122528489, 0.8066455055081057, 0.8293930157264285, 0.8542998102874638, 0.8812703265129855, 0.910165166719454, 0.940801454913363, 0.9729541976767913, 1.0063586797317174, 1.040713911804023, 1.0756871345841157, 1.1109193676197298, 1.1460319756524668, 1.1806342069383802, 1.2143316381093512, 1.2467354376598543, 1.277472334550799, 1.306195148852499, 1.3325937066182865, 1.3564059196102223, 1.3774287596424843, 1.39552879348664, 1.410651861753021, 1.4228313745620957, 1.432194542071409, 1.4389656295921864, 1.443464966700068, 1.4461018185727987, 1.4473580167064333, 1.4477563928085044, 1.4477983106069554], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.34830840666534824}

9.894007

1

6.592485

[ [ 0.6824940729392648, 0.6824941710218617, 0.6824969730095533, 0.6825147195656669, 0.6825760938773744, 0.6827306752104546, 0.6830513550218528, 0.6836350126019217, 0.6846017037048049, 0.6860925908093323, 0.6882668262614665, 0.6912975858368262, 0.6953674386031168, 0.7006632285332831, 0.7073706336543967, 0.715668559327089, 0.725723513345088, 0.7376841017891175, 0.7516757758623137, 0.7677959511937335, 0.7861096122528489, 0.8066455055081057, 0.8293930157264285, 0.8542998102874638, 0.8812703265129855, 0.910165166719454, 0.940801454913363, 0.9729541976767913, 1.0063586797317174, 1.040713911804023, 1.0756871345841157, 1.1109193676197298, 1.1460319756524668, 1.1806342069383802, 1.2143316381093512, 1.2467354376598543, 1.277472334550799, 1.306195148852499, 1.3325937066182865, 1.3564059196102223, 1.3774287596424843, 1.39552879348664, 1.410651861753021, 1.4228313745620957, 1.432194542071409, 1.4389656295921864, 1.443464966700068, 1.4461018185727987, 1.4473580167064333, 1.4477563928085044, 1.4477983106069554 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1293759604683966, -0.22204606184544176, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.348308

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

DL8HZxcVmtwsDE5CYUerRue

null

false

null

false

DhjSGKH5gbet7oreY2R5mSp

DEwZj6tJyaqFBfgAdEnJgEX

{"qi": 0.0020127475458229225, "vacuum_well": -0.09926637103834461, "aspect_ratio": 8.766317337402866, "max_elongation": 5.51575655111748, "average_triangularity": -0.4489854255629968, "axis_magnetic_mirror_ratio": 0.38826463468033745, "edge_magnetic_mirror_ratio": 0.4733362929267846, "aspect_ratio_over_edge_rotational_transform": 30.172975620203278, "flux_compression_in_regions_of_bad_curvature": 0.9129617314673619, "axis_rotational_transform_over_n_field_periods": 0.24809339734697006, "edge_rotational_transform_over_n_field_periods": 0.1452676966260679, "minimum_normalized_magnetic_gradient_scale_length": 4.017437527402964}

8.766317

30.172976

-0.687439

0.388265

0.248093

0.473336

0.145268

0.912962

5.515757

4.017438

0.002013

-0.099266

{"r_cos":[[0.0,0.0,0.0,0.0,0.9846523415331863,0.019395088856385967,-0.05835027995060849,-0.006552245406632456,0.0009279025634226223],[-0.0016950492012787364,-0.0014454594302816901,0.07323922144624925,-0.01654481672244336,0.0838110689859989,-0.10518166596935453,0.0019110318062376883,0.01513948528903662,-0.0001945058949166695],[0.0005677542065611145,-0.009104419072142123,-0.0030670515083576298,0.014171250687266101,-0.013773529553894562,-0.011973291865900373,0.0003632392617295983,0.002489727917538873,-0.00030895161591889457],[0.0005607938830373931,0.004214422647290574,-0.004632454919285732,0.0016497066626054344,-0.00433636848019388,-0.0005702080728540005,0.0017890733290227123,0.0004821222391158857,-0.000360756780399318],[-0.0004963822224238583,-0.00026959561035774327,-0.0006310191808225555,-0.002784916906700268,0.0018590424337278446,-0.0001033432300657736,-0.0005460594830638183,0.0002448739384296059,-0.00014363976022363094]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1358436265610948,0.06917975416196344,-0.00960607486557235,-0.0007386546479600554],[-0.0029022430676966184,-0.006939467562814613,0.012861090316704085,-0.07715369514894992,-0.1272537158864628,0.04898113834358232,0.0012715153735430524,-0.004556780627957251,0.0018857301063581401],[0.0018085833416094,-0.006160136172849863,0.006404367678057953,0.006573707003552309,-0.02087772244655837,0.006730370536560844,-0.0017205686440109804,-0.0017090673706480464,0.0006115720299415126],[0.00006068729189167432,0.0021866476972080533,0.0006250935410760548,0.0073441499857219835,0.0010125354980177563,-0.003142809065960814,0.0018905964547505146,-0.0004774572320891538,0.00017612842430517062],[-0.00015997511271639915,-0.0000756871902661125,-0.0009707713986995482,0.001343037705027287,-0.0003192044821707357,0.00030912794452183734,0.00006077647155788195,-0.00019106345181656522,0.00004703224244858902]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9846523415331863, 0.019395088856385967, -0.05835027995060849, -0.006552245406632456, 0.0009279025634226223 ], [ -0.0016950492012787364, -0.0014454594302816901, 0.07323922144624925, -0.01654481672244336, 0.0838110689859989, -0.10518166596935453, 0.0019110318062376883, 0.01513948528903662, -0.0001945058949166695 ], [ 0.0005677542065611145, -0.009104419072142123, -0.0030670515083576298, 0.014171250687266101, -0.013773529553894562, -0.011973291865900373, 0.0003632392617295983, 0.002489727917538873, -0.00030895161591889457 ], [ 0.0005607938830373931, 0.004214422647290574, -0.004632454919285732, 0.0016497066626054344, -0.00433636848019388, -0.0005702080728540005, 0.0017890733290227123, 0.0004821222391158857, -0.000360756780399318 ], [ -0.0004963822224238583, -0.00026959561035774327, -0.0006310191808225555, -0.002784916906700268, 0.0018590424337278446, -0.0001033432300657736, -0.0005460594830638183, 0.0002448739384296059, -0.00014363976022363094 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1358436265610948, 0.06917975416196344, -0.00960607486557235, -0.0007386546479600554 ], [ -0.0029022430676966184, -0.006939467562814613, 0.012861090316704085, -0.07715369514894992, -0.1272537158864628, 0.04898113834358232, 0.0012715153735430524, -0.004556780627957251, 0.0018857301063581401 ], [ 0.0018085833416094, -0.006160136172849863, 0.006404367678057953, 0.006573707003552309, -0.02087772244655837, 0.006730370536560844, -0.0017205686440109804, -0.0017090673706480464, 0.0006115720299415126 ], [ 0.00006068729189167432, 0.0021866476972080533, 0.0006250935410760548, 0.0073441499857219835, 0.0010125354980177563, -0.003142809065960814, 0.0018905964547505146, -0.0004774572320891538, 0.00017612842430517062 ], [ -0.00015997511271639915, -0.0000756871902661125, -0.0009707713986995482, 0.001343037705027287, -0.0003192044821707357, 0.00030912794452183734, 0.00006077647155788195, -0.00019106345181656522, 0.00004703224244858902 ] ]

DHsEAsvvWtvddSh8JknexzE

{"aspect_ratio": 9.223247028536065, "major_radius": 1.0, "max_elongation": 6.893612751046851, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.25604146875544387, 0.4288995004763705, 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": [[0.5909711916047535, 0.5909726390094345, 0.5910040046267866, 0.591168362723129, 0.5916586464430483, 0.5927489623269644, 0.5947750656820945, 0.5981099317006454, 0.6031379534282456, 0.610230054876199, 0.6197212265798213, 0.6318914494963422, 0.6469505763838013, 0.6650274397010684, 0.6861632243700792, 0.7103089655925023, 0.7373268951677459, 0.766995256631424, 0.7990161343312493, 0.8330257899551978, 0.8686069686250106, 0.9053026227142598, 0.9426305027565045, 0.9800980792279955, 1.0172172849269319, 1.05351860362427, 1.0885640752708854, 1.1219588400629774, 1.1533609019240896, 1.1824888553488364, 1.2091273870012937, 1.233130433924022, 1.254421952653283, 1.2729943269059223, 1.288904514733559, 1.3022681080188288, 1.3132515467436434, 1.3220627963316316, 1.3289408571795218, 1.3341445297098555, 1.337940904149717, 1.3405940797220728, 1.3423546405710298, 1.3434504224823336, 1.3440790913807756, 1.344403016399541, 1.3445468494970365, 1.3445981086576784, 1.3446108834209238, 1.344612503088999, 1.344612542316042], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5492532509526704}

9.223247

1

6.893613

[ [ 0.5909711916047535, 0.5909726390094345, 0.5910040046267866, 0.591168362723129, 0.5916586464430483, 0.5927489623269644, 0.5947750656820945, 0.5981099317006454, 0.6031379534282456, 0.610230054876199, 0.6197212265798213, 0.6318914494963422, 0.6469505763838013, 0.6650274397010684, 0.6861632243700792, 0.7103089655925023, 0.7373268951677459, 0.766995256631424, 0.7990161343312493, 0.8330257899551978, 0.8686069686250106, 0.9053026227142598, 0.9426305027565045, 0.9800980792279955, 1.0172172849269319, 1.05351860362427, 1.0885640752708854, 1.1219588400629774, 1.1533609019240896, 1.1824888553488364, 1.2091273870012937, 1.233130433924022, 1.254421952653283, 1.2729943269059223, 1.288904514733559, 1.3022681080188288, 1.3132515467436434, 1.3220627963316316, 1.3289408571795218, 1.3341445297098555, 1.337940904149717, 1.3405940797220728, 1.3423546405710298, 1.3434504224823336, 1.3440790913807756, 1.344403016399541, 1.3445468494970365, 1.3445981086576784, 1.3446108834209238, 1.344612503088999, 1.344612542316042 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.25604146875544387, 0.4288995004763705, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.549253

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

DP7Ngx7MwENA9vqbcdRWnYA

null

false

null

false

DNqJuWiK4h5YbEwWJEc6EWt

DkqoF4uEbkJSbk6gzp6hfZa

{"qi": 0.026542494164933227, "vacuum_well": -0.20627382325818175, "aspect_ratio": 6.991592063875922, "max_elongation": 4.135587368165008, "average_triangularity": -0.526973809793601, "axis_magnetic_mirror_ratio": 0.635737623736666, "edge_magnetic_mirror_ratio": 0.9394562565548509, "aspect_ratio_over_edge_rotational_transform": 12.891679548973741, "flux_compression_in_regions_of_bad_curvature": 1.3564884592503321, "axis_rotational_transform_over_n_field_periods": 0.1278766061471997, "edge_rotational_transform_over_n_field_periods": 0.1355834210219819, "minimum_normalized_magnetic_gradient_scale_length": 2.919794610338396}

6.991592

12.89168

-0.834619

0.635738

0.127877

0.939456

0.135583

1.356488

4.135587

2.919795

0.026542

-0.206274

{"r_cos":[[0.0,0.0,0.0,0.0,0.9942742052840237,0.22437014971544766,-0.021242629168403335,-0.0035172734869543167,0.0019396667791713761],[0.000997435016765144,0.0010273091750615763,-0.0069583541739471145,-0.08483858877727952,0.146279460872133,0.012728865817531326,0.004891220617244975,-0.00009767230460511374,-0.001028414586848313],[-0.0008889425038745043,0.002501941077783622,-0.006177456776769101,-0.000471043691377954,-0.034163760943070484,0.011836555277036453,0.0018728616687477767,-0.0003236440763766963,0.0003805664683068274],[0.00048062450564291645,-0.0029646575725487062,0.0040036757573931065,-0.004410027957514843,0.004156283763069499,0.0018508664606305067,-0.0010534111699036454,0.0003953055571766237,-0.00006998211654319112],[-0.00037678300648557336,0.0009921760198471634,-0.000978422163085084,0.0011199303070323014,-0.0006073565942092833,0.0003696614010427331,0.000020881998203552794,-0.0003627233856058208,7.141602240302663e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.11790262968129514,-0.026394315937236772,0.0035953114971300926,0.0003641225737168845],[-0.00041072597901737045,0.009554630251451146,-0.004741646324508396,-0.016338403327636447,-0.1306665465110617,0.021980037368403343,0.012496706468266396,-0.0012874392114536589,0.0008548863108002961],[0.0008540109446759093,-0.004327836796179564,0.0008944143415137427,0.010135335652131205,-0.01643255869786529,-0.011091940878811029,0.0018212817826325314,-0.0002593461824280177,-0.0002151940589773595],[-0.00023964050448585666,0.0021054851306105565,-0.0020874274104139565,0.013021382070064345,-0.008632288038049031,-0.000756778091247118,0.00039213329450916914,-0.0008010073364363685,-0.0002439939643195245],[0.0003907776788384849,-0.00022405355877778895,0.00034938220038604816,-0.0002057009314980423,0.0019313510457363659,-0.0016774876081068054,0.00033790730992393426,0.000011087299387018415,-0.00014705942948994703]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9942742052840237, 0.22437014971544766, -0.021242629168403335, -0.0035172734869543167, 0.0019396667791713761 ], [ 0.000997435016765144, 0.0010273091750615763, -0.0069583541739471145, -0.08483858877727952, 0.146279460872133, 0.012728865817531326, 0.004891220617244975, -0.00009767230460511374, -0.001028414586848313 ], [ -0.0008889425038745043, 0.002501941077783622, -0.006177456776769101, -0.000471043691377954, -0.034163760943070484, 0.011836555277036453, 0.0018728616687477767, -0.0003236440763766963, 0.0003805664683068274 ], [ 0.00048062450564291645, -0.0029646575725487062, 0.0040036757573931065, -0.004410027957514843, 0.004156283763069499, 0.0018508664606305067, -0.0010534111699036454, 0.0003953055571766237, -0.00006998211654319112 ], [ -0.00037678300648557336, 0.0009921760198471634, -0.000978422163085084, 0.0011199303070323014, -0.0006073565942092833, 0.0003696614010427331, 0.000020881998203552794, -0.0003627233856058208, 0.000007141602240302663 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.11790262968129514, -0.026394315937236772, 0.0035953114971300926, 0.0003641225737168845 ], [ -0.00041072597901737045, 0.009554630251451146, -0.004741646324508396, -0.016338403327636447, -0.1306665465110617, 0.021980037368403343, 0.012496706468266396, -0.0012874392114536589, 0.0008548863108002961 ], [ 0.0008540109446759093, -0.004327836796179564, 0.0008944143415137427, 0.010135335652131205, -0.01643255869786529, -0.011091940878811029, 0.0018212817826325314, -0.0002593461824280177, -0.0002151940589773595 ], [ -0.00023964050448585666, 0.0021054851306105565, -0.0020874274104139565, 0.013021382070064345, -0.008632288038049031, -0.000756778091247118, 0.00039213329450916914, -0.0008010073364363685, -0.0002439939643195245 ], [ 0.0003907776788384849, -0.00022405355877778895, 0.00034938220038604816, -0.0002057009314980423, 0.0019313510457363659, -0.0016774876081068054, 0.00033790730992393426, 0.000011087299387018415, -0.00014705942948994703 ] ]

DRCywAdCtXsL3BFPcRTeGJS

{"aspect_ratio": 6.816744528691578, "major_radius": 1.0, "max_elongation": 6.763900796205032, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0734376903615179, -0.3625627178292694, 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": [[0.6762535764101891, 0.6762609037307435, 0.6763298855275225, 0.6765515904670479, 0.6770323528300187, 0.6778863073792311, 0.6792310209839599, 0.6811844256354903, 0.6838624741861182, 0.6873772567132221, 0.6918354371895749, 0.6973369269996404, 0.7039737418982139, 0.71182900636459, 0.7209760800241705, 0.7314777877921053, 0.7433857401487479, 0.7567397333215549, 0.7715672216129543, 0.7878828559794319, 0.8056880844258618, 0.8249708109586674, 0.8457051108299726, 0.8678510006662493, 0.8913542628575001, 0.9161463243260474, 0.9421441905319332, 0.9692504363376533, 0.9973532561827747, 1.0263265769477896, 1.0560302379632613, 1.0863102439046932, 1.1169990978846998, 1.147916224020047, 1.178868491263532, 1.2096508535674038, 1.2400471258068149, 1.2698309208228697, 1.2987667811957513, 1.3266115511282452, 1.353116051089247, 1.3780271440356544, 1.401090323204453, 1.4220530192039418, 1.4406689417665202, 1.4567039900233953, 1.4699447076359777, 1.4802112654656592, 1.487379659443952, 1.4914273574107462, 1.4925816339041567], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.44416796536638437}

6.816745

1

6.763901

[ [ 0.6762535764101891, 0.6762609037307435, 0.6763298855275225, 0.6765515904670479, 0.6770323528300187, 0.6778863073792311, 0.6792310209839599, 0.6811844256354903, 0.6838624741861182, 0.6873772567132221, 0.6918354371895749, 0.6973369269996404, 0.7039737418982139, 0.71182900636459, 0.7209760800241705, 0.7314777877921053, 0.7433857401487479, 0.7567397333215549, 0.7715672216129543, 0.7878828559794319, 0.8056880844258618, 0.8249708109586674, 0.8457051108299726, 0.8678510006662493, 0.8913542628575001, 0.9161463243260474, 0.9421441905319332, 0.9692504363376533, 0.9973532561827747, 1.0263265769477896, 1.0560302379632613, 1.0863102439046932, 1.1169990978846998, 1.147916224020047, 1.178868491263532, 1.2096508535674038, 1.2400471258068149, 1.2698309208228697, 1.2987667811957513, 1.3266115511282452, 1.353116051089247, 1.3780271440356544, 1.401090323204453, 1.4220530192039418, 1.4406689417665202, 1.4567039900233953, 1.4699447076359777, 1.4802112654656592, 1.487379659443952, 1.4914273574107462, 1.4925816339041567 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.0734376903615179, -0.3625627178292694, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.444168

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

DakTDbNMkRxdsTpQapqqjEx

null

false

null

false

DMBHu9FmuPuXcryVxNDr5QW

DXUXhGkAboGVTpMP3ToMoJi

{"qi": 0.004479882479604485, "vacuum_well": -0.09826336767396111, "aspect_ratio": 9.128865043565508, "max_elongation": 6.73925698091105, "average_triangularity": 0.0529634285750093, "axis_magnetic_mirror_ratio": 0.3348554226537409, "edge_magnetic_mirror_ratio": 0.3808780820318371, "aspect_ratio_over_edge_rotational_transform": 6.302589991809778, "flux_compression_in_regions_of_bad_curvature": 1.5642879106258998, "axis_rotational_transform_over_n_field_periods": 0.295121623411129, "edge_rotational_transform_over_n_field_periods": 0.2896861466612449, "minimum_normalized_magnetic_gradient_scale_length": 9.441300739008017}

9.128865

6.30259

0.253064

0.334855

0.295122

0.380878

0.289686

1.564288

6.739257

9.441301

0.00448

-0.098263

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.014854390074281736,-0.018486756092902186,0.003798188888222224,0.0002489553326010625],[0.00020320938234745246,-0.003546436651003982,0.013390981793773779,0.10506464321002684,0.10133074982304185,-0.04434439943088042,0.00688114886125106,0.0004452288380573789,-0.00008057876965291913],[0.0008079845915991992,0.002106314779338127,-0.01866206646390372,-0.04696087656425976,0.01228643014589044,-0.00865461410955147,0.0020437967542345694,-0.0002084681235733941,-0.000015640158262539012],[-0.00030032612124662836,0.000649668309054453,0.009682582996968373,0.0013791406564287135,-0.00015059510477028848,0.00017050378784875901,0.0003301679239768405,-0.00011275404287749985,0.0000851268649406968],[0.00020428224818408845,-0.00048507759881941695,-0.0007573421152609205,0.00008121558125308986,-0.0001638757834211968,0.00009048764550597006,-0.0001213077477602493,0.00001612267359192744,0.000012027494893516831]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.037408724637246815,0.014185930363831083,-0.004300814002842085,-0.00009590287887890903],[0.000624751459739867,0.00014228413312357286,0.024197866352957665,0.050006810360374625,-0.1538172703994207,0.03754106749334298,-0.005381314207644986,-0.0004281982446395975,-0.00009779471944774569],[0.00031447533578853276,0.0004836300886562585,-0.010620416464530038,0.0034366006861240674,-0.0009284539140328725,0.009273259877729529,-0.0023796628797597384,0.0005868537656298416,0.00001238594279622199],[-0.00016167394059385666,-0.0023365125320479385,-0.001305556990710451,0.002923682228870587,0.0004028748827598374,-0.00021054561905897826,0.00008726800401332422,-0.000021260830462148427,-0.00003794946793895135],[0.00039505983006774405,0.0007630852574943394,-0.00043949725802022634,-0.00014814706314779098,0.00005234050647192053,-0.0001180559371887289,0.00008880162699636315,-0.000015764162379188092,-4.062648842242727e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.014854390074281736, -0.018486756092902186, 0.003798188888222224, 0.0002489553326010625 ], [ 0.00020320938234745246, -0.003546436651003982, 0.013390981793773779, 0.10506464321002684, 0.10133074982304185, -0.04434439943088042, 0.00688114886125106, 0.0004452288380573789, -0.00008057876965291913 ], [ 0.0008079845915991992, 0.002106314779338127, -0.01866206646390372, -0.04696087656425976, 0.01228643014589044, -0.00865461410955147, 0.0020437967542345694, -0.0002084681235733941, -0.000015640158262539012 ], [ -0.00030032612124662836, 0.000649668309054453, 0.009682582996968373, 0.0013791406564287135, -0.00015059510477028848, 0.00017050378784875901, 0.0003301679239768405, -0.00011275404287749985, 0.0000851268649406968 ], [ 0.00020428224818408845, -0.00048507759881941695, -0.0007573421152609205, 0.00008121558125308986, -0.0001638757834211968, 0.00009048764550597006, -0.0001213077477602493, 0.00001612267359192744, 0.000012027494893516831 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.037408724637246815, 0.014185930363831083, -0.004300814002842085, -0.00009590287887890903 ], [ 0.000624751459739867, 0.00014228413312357286, 0.024197866352957665, 0.050006810360374625, -0.1538172703994207, 0.03754106749334298, -0.005381314207644986, -0.0004281982446395975, -0.00009779471944774569 ], [ 0.00031447533578853276, 0.0004836300886562585, -0.010620416464530038, 0.0034366006861240674, -0.0009284539140328725, 0.009273259877729529, -0.0023796628797597384, 0.0005868537656298416, 0.00001238594279622199 ], [ -0.00016167394059385666, -0.0023365125320479385, -0.001305556990710451, 0.002923682228870587, 0.0004028748827598374, -0.00021054561905897826, 0.00008726800401332422, -0.000021260830462148427, -0.00003794946793895135 ], [ 0.00039505983006774405, 0.0007630852574943394, -0.00043949725802022634, -0.00014814706314779098, 0.00005234050647192053, -0.0001180559371887289, 0.00008880162699636315, -0.000015764162379188092, -0.000004062648842242727 ] ]

DaT3PJ99BywcFu3f94Rkf62

{"aspect_ratio": 8.576283248619944, "major_radius": 1.0, "max_elongation": 6.25260369401356, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.3842574792709405, -0.10997361031757905, 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": [[0.6484633359011492, 0.6484668870261143, 0.6485276914168859, 0.6488026336803655, 0.6495416560282238, 0.6510589152086875, 0.6537017383770394, 0.6578215355585159, 0.6637484548148794, 0.67177056505078, 0.6821178205366721, 0.6949507476398579, 0.7103535988707632, 0.7283315955778651, 0.7488118036735116, 0.7716471422011886, 0.7966230033318163, 0.8234659585246503, 0.851854034958535, 0.8814280659335985, 0.9118036465181747, 0.9425832595383821, 0.9733681757027239, 1.0037697741005718, 1.0334199745762342, 1.0619805207614672, 1.0891509011528242, 1.1146747449268508, 1.1383445786331674, 1.1600048789719306, 1.1795534050558043, 1.1969408404034994, 1.2121688199469327, 1.2252864600915185, 1.2363855498739644, 1.2455945980198284, 1.2530719636890244, 1.2589983273425966, 1.2635687818383559, 1.2669848418530694, 1.2694466812072056, 1.2711459116496666, 1.272259211937538, 1.272943101092456, 1.273330122525, 1.2735266635386604, 1.2736125735687147, 1.2736426581996891, 1.2736500040572192, 1.2736509118631347, 1.2736509330526935], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.3841457113668172}

8.576283

1

6.252604

[ [ 0.6484633359011492, 0.6484668870261143, 0.6485276914168859, 0.6488026336803655, 0.6495416560282238, 0.6510589152086875, 0.6537017383770394, 0.6578215355585159, 0.6637484548148794, 0.67177056505078, 0.6821178205366721, 0.6949507476398579, 0.7103535988707632, 0.7283315955778651, 0.7488118036735116, 0.7716471422011886, 0.7966230033318163, 0.8234659585246503, 0.851854034958535, 0.8814280659335985, 0.9118036465181747, 0.9425832595383821, 0.9733681757027239, 1.0037697741005718, 1.0334199745762342, 1.0619805207614672, 1.0891509011528242, 1.1146747449268508, 1.1383445786331674, 1.1600048789719306, 1.1795534050558043, 1.1969408404034994, 1.2121688199469327, 1.2252864600915185, 1.2363855498739644, 1.2455945980198284, 1.2530719636890244, 1.2589983273425966, 1.2635687818383559, 1.2669848418530694, 1.2694466812072056, 1.2711459116496666, 1.272259211937538, 1.272943101092456, 1.273330122525, 1.2735266635386604, 1.2736125735687147, 1.2736426581996891, 1.2736500040572192, 1.2736509118631347, 1.2736509330526935 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.3842574792709405, -0.10997361031757905, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.384146

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

D45YzQoSETwr6FauNxKsvoS

null

false

null

false

DY7iC6ki3e4FEdtXCZxXYY6

Dd7RnPBaFtnp7J5LPzCV9gM

{"qi": 0.01816295447811806, "vacuum_well": -0.061734855558444414, "aspect_ratio": 7.991211818283068, "max_elongation": 7.876307907473156, "average_triangularity": 0.300620113600493, "axis_magnetic_mirror_ratio": 0.3951680103265925, "edge_magnetic_mirror_ratio": 0.48901965363821964, "aspect_ratio_over_edge_rotational_transform": 28.758867557105326, "flux_compression_in_regions_of_bad_curvature": 1.6389005266973802, "axis_rotational_transform_over_n_field_periods": 0.14480171734669142, "edge_rotational_transform_over_n_field_periods": 0.1389347442561019, "minimum_normalized_magnetic_gradient_scale_length": 3.658699086704021}

7.991212

28.758868

0.399329

0.395168

0.144802

0.48902

0.138935

1.638901

7.876308

3.658699

0.018163

-0.061735

{"r_cos":[[0.0,0.0,0.0,0.0,0.9893063549773672,0.0029397731796101884,-0.04723030272927562,0.0053702884352033,-0.010561634146250286],[0.0021622210827207046,-0.02084011070718779,0.017718753428757936,-0.037315578316019136,0.15199631169626715,-0.03302725228525779,0.050685329990577066,-0.002651781023658142,-0.0006589451407666829],[0.003921158813930741,-0.008558712814071463,0.001961936469913924,0.005135898251105385,-0.019897188718056298,0.003531661941514812,-0.0003775741822318716,0.0008844815482072091,-0.000257996322607607],[0.00027993772128043226,0.0017889725265824259,-0.0024204721057382484,0.001919758611511593,0.0023311534403359464,-0.0024231173813574762,0.0023422679495665537,-0.0008864591091950437,0.00029463628706339934],[0.000025734773333241267,0.00036487992061331624,-0.0000586219951232708,0.0003744619280216955,-0.0007202166265428012,0.00011139841202149368,0.00006721902919546719,-0.00006285356238244956,-0.000016374511124848432]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.3314261129448502,0.0004722353942772372,-0.041416361527889724,0.004257365997059668],[0.002072303989684068,-0.00038679286670915925,0.04345886232117352,-0.11185961611749293,-0.09796434040607346,0.09575633181512269,-0.022436098260594714,0.006407018011947574,0.0012531600749299547],[0.0006350520437781845,-0.0057869882269665045,0.007528486175812848,-0.004147726978599428,0.005266548659434017,-0.004380438962246854,0.0040477334113926625,-0.0017821162122899684,0.0003700358565969246],[-0.0003305382893918297,0.0013303304279939894,-0.005548981918594119,-0.00031930908507928253,-0.0009158325999241406,0.0014800671144588762,-0.0014529770040013434,0.00041491607890604325,-0.00027943387269009206],[-0.0005228518424344544,0.00016002358115221267,0.0006547412715817325,-0.000591330758299848,0.0008643406737485993,-0.0005448491060587994,0.00007154748783700911,0.00011338728491243677,0.00001355257170823919]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9893063549773672, 0.0029397731796101884, -0.04723030272927562, 0.0053702884352033, -0.010561634146250286 ], [ 0.0021622210827207046, -0.02084011070718779, 0.017718753428757936, -0.037315578316019136, 0.15199631169626715, -0.03302725228525779, 0.050685329990577066, -0.002651781023658142, -0.0006589451407666829 ], [ 0.003921158813930741, -0.008558712814071463, 0.001961936469913924, 0.005135898251105385, -0.019897188718056298, 0.003531661941514812, -0.0003775741822318716, 0.0008844815482072091, -0.000257996322607607 ], [ 0.00027993772128043226, 0.0017889725265824259, -0.0024204721057382484, 0.001919758611511593, 0.0023311534403359464, -0.0024231173813574762, 0.0023422679495665537, -0.0008864591091950437, 0.00029463628706339934 ], [ 0.000025734773333241267, 0.00036487992061331624, -0.0000586219951232708, 0.0003744619280216955, -0.0007202166265428012, 0.00011139841202149368, 0.00006721902919546719, -0.00006285356238244956, -0.000016374511124848432 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.3314261129448502, 0.0004722353942772372, -0.041416361527889724, 0.004257365997059668 ], [ 0.002072303989684068, -0.00038679286670915925, 0.04345886232117352, -0.11185961611749293, -0.09796434040607346, 0.09575633181512269, -0.022436098260594714, 0.006407018011947574, 0.0012531600749299547 ], [ 0.0006350520437781845, -0.0057869882269665045, 0.007528486175812848, -0.004147726978599428, 0.005266548659434017, -0.004380438962246854, 0.0040477334113926625, -0.0017821162122899684, 0.0003700358565969246 ], [ -0.0003305382893918297, 0.0013303304279939894, -0.005548981918594119, -0.00031930908507928253, -0.0009158325999241406, 0.0014800671144588762, -0.0014529770040013434, 0.00041491607890604325, -0.00027943387269009206 ], [ -0.0005228518424344544, 0.00016002358115221267, 0.0006547412715817325, -0.000591330758299848, 0.0008643406737485993, -0.0005448491060587994, 0.00007154748783700911, 0.00011338728491243677, 0.00001355257170823919 ] ]

DQyUWMt9jQ8NmQuHd9tB2qa

{"aspect_ratio": 5.6841802229783545, "major_radius": 1.0, "max_elongation": 4.968380110459651, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.12013609311052947, 0.24447916982582316, 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": [[0.7922413181852962, 0.7923047855407143, 0.7926810211050246, 0.7935855530344477, 0.795180320661994, 0.7975875603203766, 0.8008967630385256, 0.8051693460762986, 0.8104422160329807, 0.8167306900683825, 0.8240310019360069, 0.8323225178800814, 0.8415697377164106, 0.8517241294998537, 0.8627258304654338, 0.8745052371922342, 0.8869845016072053, 0.9000789451593322, 0.9136984004905678, 0.9277484877596602, 0.9421318311631839, 0.9567492199696634, 0.9715007174226721, 0.9862867200994463, 1.0010089696786713, 1.0155715185358025, 1.0298816501177415, 1.0438507546286102, 1.0573951601667286, 1.0704369190741845, 1.082904548880219, 1.094733726823732, 1.1058679365130286, 1.1162590648045132, 1.1258679464342722, 1.1346648532887638, 1.1426299244146645, 1.1497535318898582, 1.156036576430786, 1.1614907049825494, 1.1661384403542085, 1.1700132099495035, 1.1731592563543167, 1.1756314062062188, 1.1774946639911499, 1.1788235814793566, 1.1797013257182785, 1.1802183154080856, 1.1804701802155568, 1.1805544916711561, 1.1805644895622522], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.32793463878996176}

5.68418

1

4.96838

[ [ 0.7922413181852962, 0.7923047855407143, 0.7926810211050246, 0.7935855530344477, 0.795180320661994, 0.7975875603203766, 0.8008967630385256, 0.8051693460762986, 0.8104422160329807, 0.8167306900683825, 0.8240310019360069, 0.8323225178800814, 0.8415697377164106, 0.8517241294998537, 0.8627258304654338, 0.8745052371922342, 0.8869845016072053, 0.9000789451593322, 0.9136984004905678, 0.9277484877596602, 0.9421318311631839, 0.9567492199696634, 0.9715007174226721, 0.9862867200994463, 1.0010089696786713, 1.0155715185358025, 1.0298816501177415, 1.0438507546286102, 1.0573951601667286, 1.0704369190741845, 1.082904548880219, 1.094733726823732, 1.1058679365130286, 1.1162590648045132, 1.1258679464342722, 1.1346648532887638, 1.1426299244146645, 1.1497535318898582, 1.156036576430786, 1.1614907049825494, 1.1661384403542085, 1.1700132099495035, 1.1731592563543167, 1.1756314062062188, 1.1774946639911499, 1.1788235814793566, 1.1797013257182785, 1.1802183154080856, 1.1804701802155568, 1.1805544916711561, 1.1805644895622522 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.12013609311052947, 0.24447916982582316, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.327935

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

DXLR3VkmQbTny75yykf672W

null

false

null

false

DRcXmcNYqCDrASSACyTJLBb

D23ETnbGGSgaHLKwhNLeSbU

{"qi": 0.012313439091651338, "vacuum_well": -0.08192316510147503, "aspect_ratio": 6.7373502137914905, "max_elongation": 7.289061554108871, "average_triangularity": -0.2265415805083353, "axis_magnetic_mirror_ratio": 0.6587925015441849, "edge_magnetic_mirror_ratio": 0.9109197225582055, "aspect_ratio_over_edge_rotational_transform": 8.57524990945923, "flux_compression_in_regions_of_bad_curvature": 2.181895811722694, "axis_rotational_transform_over_n_field_periods": 0.19989418129613118, "edge_rotational_transform_over_n_field_periods": 0.19641848007133939, "minimum_normalized_magnetic_gradient_scale_length": 1.5195986466669917}

6.73735

8.57525

-0.304983

0.658793

0.199894

0.91092

0.196418

2.181896

7.289062

1.519599

0.012313

-0.081923

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.2183119434710892,-0.05738381419539617,-0.01232275677240492,0.005671811553013003],[0.00016322102415307902,0.0046108729781424666,0.03568069780911584,0.05749300785741793,0.07534826540678921,-0.05753296148120149,0.014412881551471066,0.000012243897631927878,-0.0017677177054155084],[-0.0008445177609683135,-0.0028119126132721854,-0.01071469219104147,0.0037654597911480005,-0.01305858347925002,-0.0009670909732993247,-0.0009935259019499005,-0.00041689486736440785,-3.743659228676213e-6],[0.0007887354143055118,-0.000671196972144696,0.0018166413527077908,0.0002552105807582825,0.0007396693694656942,-0.0007645441927432385,0.00021246926445714874,0.00002967860278852135,-0.0002558350692593331],[-0.00001989258934594561,3.391476045734674e-6,-0.00023736074739325437,-0.00015586406553962616,-0.0005365122816234757,0.00006788968584574805,-0.00017557036834337176,-0.000029133244322579726,-0.00002135450841231779]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.08618364288645253,0.02470819937876293,0.008305669163763157,-0.00428192040145524],[0.0029550968359064777,0.01686111225379493,0.06845681024932668,-0.0036487684236010676,-0.21315233394985994,0.07077708013616932,-0.02028239892342849,0.0005021247325095422,0.0016309098208914467],[-0.002219398332803805,-0.01202343385717335,-0.0050274749797846185,-0.02061751412897768,0.012311289297722072,-0.010220488965930282,0.0100278930244107,-0.00234584451576889,0.000760194445770622],[-0.0014195318775015796,-0.001322105728921435,-0.0013035580125188052,-0.003078024049457931,0.0004020464523619036,-0.0005349454065923366,-0.00003461019979958066,-0.00020496167737547942,0.000249135138393252],[0.0005375289171265286,0.0004735850891416033,-0.0009230838300068748,0.001234811353330265,0.000055122594903533775,0.00020009942997461193,0.00005946982973039592,-0.000023356778083957194,0.00009153678332628461]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.2183119434710892, -0.05738381419539617, -0.01232275677240492, 0.005671811553013003 ], [ 0.00016322102415307902, 0.0046108729781424666, 0.03568069780911584, 0.05749300785741793, 0.07534826540678921, -0.05753296148120149, 0.014412881551471066, 0.000012243897631927878, -0.0017677177054155084 ], [ -0.0008445177609683135, -0.0028119126132721854, -0.01071469219104147, 0.0037654597911480005, -0.01305858347925002, -0.0009670909732993247, -0.0009935259019499005, -0.00041689486736440785, -0.000003743659228676213 ], [ 0.0007887354143055118, -0.000671196972144696, 0.0018166413527077908, 0.0002552105807582825, 0.0007396693694656942, -0.0007645441927432385, 0.00021246926445714874, 0.00002967860278852135, -0.0002558350692593331 ], [ -0.00001989258934594561, 0.000003391476045734674, -0.00023736074739325437, -0.00015586406553962616, -0.0005365122816234757, 0.00006788968584574805, -0.00017557036834337176, -0.000029133244322579726, -0.00002135450841231779 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.08618364288645253, 0.02470819937876293, 0.008305669163763157, -0.00428192040145524 ], [ 0.0029550968359064777, 0.01686111225379493, 0.06845681024932668, -0.0036487684236010676, -0.21315233394985994, 0.07077708013616932, -0.02028239892342849, 0.0005021247325095422, 0.0016309098208914467 ], [ -0.002219398332803805, -0.01202343385717335, -0.0050274749797846185, -0.02061751412897768, 0.012311289297722072, -0.010220488965930282, 0.0100278930244107, -0.00234584451576889, 0.000760194445770622 ], [ -0.0014195318775015796, -0.001322105728921435, -0.0013035580125188052, -0.003078024049457931, 0.0004020464523619036, -0.0005349454065923366, -0.00003461019979958066, -0.00020496167737547942, 0.000249135138393252 ], [ 0.0005375289171265286, 0.0004735850891416033, -0.0009230838300068748, 0.001234811353330265, 0.000055122594903533775, 0.00020009942997461193, 0.00005946982973039592, -0.000023356778083957194, 0.00009153678332628461 ] ]

DWTpjUSK3ChuG6sPn5JuBsH

{"aspect_ratio": 6.280606269393843, "major_radius": 1.0, "max_elongation": 6.984679577016795, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2682964257714603, 0.21293541554618842, 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": [[0.5748654725663114, 0.5749380790462002, 0.5754767327669836, 0.5769492831970899, 0.5797697727849157, 0.5842842033220698, 0.5907671636466462, 0.5994226060640351, 0.6103867398187207, 0.6237321393636521, 0.6394725853520459, 0.6575683488529399, 0.6779317300669566, 0.700432720734034, 0.7249046951354743, 0.7511500578580942, 0.7789457923330494, 0.8080488653543457, 0.8382014509338859, 0.8691359429435108, 0.9005797306524146, 0.932259714898261, 0.9639065455072591, 0.995258562892434, 1.0260654286446964, 1.056091431484971, 1.0851184562385514, 1.112948604577939, 1.1394064571975444, 1.1643409678631922, 1.187626980444711, 1.2091663606090488, 1.2288887343381845, 1.2467518258512138, 1.2627413878611973, 1.276870717390169, 1.289179750603322, 1.299733730306779, 1.3086214398808966, 1.3159529974878497, 1.321857204389039, 1.326478441118799, 1.3299731050598087, 1.3325055826089844, 1.3342437485359775, 1.3353539841858217, 1.3359957046057058, 1.3363153819414793, 1.3364400472525422, 1.3364702414315417, 1.336472351998704], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7973136808479346}

6.280606

1

6.98468

[ [ 0.5748654725663114, 0.5749380790462002, 0.5754767327669836, 0.5769492831970899, 0.5797697727849157, 0.5842842033220698, 0.5907671636466462, 0.5994226060640351, 0.6103867398187207, 0.6237321393636521, 0.6394725853520459, 0.6575683488529399, 0.6779317300669566, 0.700432720734034, 0.7249046951354743, 0.7511500578580942, 0.7789457923330494, 0.8080488653543457, 0.8382014509338859, 0.8691359429435108, 0.9005797306524146, 0.932259714898261, 0.9639065455072591, 0.995258562892434, 1.0260654286446964, 1.056091431484971, 1.0851184562385514, 1.112948604577939, 1.1394064571975444, 1.1643409678631922, 1.187626980444711, 1.2091663606090488, 1.2288887343381845, 1.2467518258512138, 1.2627413878611973, 1.276870717390169, 1.289179750603322, 1.299733730306779, 1.3086214398808966, 1.3159529974878497, 1.321857204389039, 1.326478441118799, 1.3299731050598087, 1.3325055826089844, 1.3342437485359775, 1.3353539841858217, 1.3359957046057058, 1.3363153819414793, 1.3364400472525422, 1.3364702414315417, 1.336472351998704 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2682964257714603, 0.21293541554618842, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.797314

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

DDX79N8BGHRaivzzELZGGXR

null

false

null

false

DPDPCGtzZhLsbAV7bHCgkaQ

DhjTsJ3QYHRhZ4Pi3pmVJaK

{"qi": 0.006661754777189562, "vacuum_well": -0.1225651294201892, "aspect_ratio": 10.168056121741833, "max_elongation": 5.256696921795744, "average_triangularity": -0.24688406906784052, "axis_magnetic_mirror_ratio": 0.18945675996396882, "edge_magnetic_mirror_ratio": 0.23712999317157035, "aspect_ratio_over_edge_rotational_transform": 12.520723771550701, "flux_compression_in_regions_of_bad_curvature": 1.1813403546255798, "axis_rotational_transform_over_n_field_periods": 0.20526720921997219, "edge_rotational_transform_over_n_field_periods": 0.2030245277203035, "minimum_normalized_magnetic_gradient_scale_length": 10.3679696049937}

10.168056

12.520724

-0.465531

0.189457

0.205267

0.23713

0.203025

1.18134

5.256697

10.36797

0.006662

-0.122565

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.06113821240733802,0.0028057083167170576,0.0014579528485493666,-0.0006039738868329586],[0.0009658014316792168,-0.0019189552810444934,0.002798595208617126,0.06275697710450645,0.08614203965093234,-0.019132307421769704,0.00009910774531300941,0.00022496089259163945,-0.00015684625075021447],[-0.00009620724014116431,0.0025211562711242954,-0.011326603948839602,-0.017836389628032807,0.0019171863068233807,0.0011389658822822581,-0.0011500614306733008,0.00036311560598136427,0.00004682038061033209],[0.00014051165771480003,-0.0009284604377438679,0.004169342979543483,0.0030530251896832257,0.0031519005223728034,-0.0009364872254773624,-0.00032540490721838966,0.00014740591248459963,0.00003041026293591821],[-0.00018784190854292216,-0.00005947233995368645,-0.0013305451605579554,0.00014782376102729072,0.00006588321626121737,0.00010166072974330826,-0.00005474648620795936,0.00009393833703195017,-0.0000383301576361152]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.01867819735046748,-0.009484432994587937,0.00028866427749669847,0.0005114470662269804],[-0.00018078141614303938,-0.0019462980183539865,0.008031480967131004,0.0638941495670855,-0.16544959959243094,0.025898902843544645,0.0025257232143859974,-0.00026786906185211783,-0.00012481653808364045],[-0.000621182290183944,0.0022133983421371117,-0.006658018391792253,-0.015892391981422335,-0.012497793374906809,0.008898271042520119,-0.000293149527190964,-0.0006331138705939782,-0.0000911633428847532],[0.0005872152543689659,-0.0008551383818986661,0.0006679244489941553,-0.004512055788208503,-0.0012520959253218456,0.00016975691235528167,-0.00008105357589810751,-0.00026287959328820376,0.000028588973183507756],[-0.00009653854825559911,0.0003705652662497486,-0.00006019163881815639,-0.0010878439470087189,-0.0005817046073342245,0.0003276739731816374,-0.00005053862880542997,-0.0000636877735772959,0.000028723626181729335]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.06113821240733802, 0.0028057083167170576, 0.0014579528485493666, -0.0006039738868329586 ], [ 0.0009658014316792168, -0.0019189552810444934, 0.002798595208617126, 0.06275697710450645, 0.08614203965093234, -0.019132307421769704, 0.00009910774531300941, 0.00022496089259163945, -0.00015684625075021447 ], [ -0.00009620724014116431, 0.0025211562711242954, -0.011326603948839602, -0.017836389628032807, 0.0019171863068233807, 0.0011389658822822581, -0.0011500614306733008, 0.00036311560598136427, 0.00004682038061033209 ], [ 0.00014051165771480003, -0.0009284604377438679, 0.004169342979543483, 0.0030530251896832257, 0.0031519005223728034, -0.0009364872254773624, -0.00032540490721838966, 0.00014740591248459963, 0.00003041026293591821 ], [ -0.00018784190854292216, -0.00005947233995368645, -0.0013305451605579554, 0.00014782376102729072, 0.00006588321626121737, 0.00010166072974330826, -0.00005474648620795936, 0.00009393833703195017, -0.0000383301576361152 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.01867819735046748, -0.009484432994587937, 0.00028866427749669847, 0.0005114470662269804 ], [ -0.00018078141614303938, -0.0019462980183539865, 0.008031480967131004, 0.0638941495670855, -0.16544959959243094, 0.025898902843544645, 0.0025257232143859974, -0.00026786906185211783, -0.00012481653808364045 ], [ -0.000621182290183944, 0.0022133983421371117, -0.006658018391792253, -0.015892391981422335, -0.012497793374906809, 0.008898271042520119, -0.000293149527190964, -0.0006331138705939782, -0.0000911633428847532 ], [ 0.0005872152543689659, -0.0008551383818986661, 0.0006679244489941553, -0.004512055788208503, -0.0012520959253218456, 0.00016975691235528167, -0.00008105357589810751, -0.00026287959328820376, 0.000028588973183507756 ], [ -0.00009653854825559911, 0.0003705652662497486, -0.00006019163881815639, -0.0010878439470087189, -0.0005817046073342245, 0.0003276739731816374, -0.00005053862880542997, -0.0000636877735772959, 0.000028723626181729335 ] ]

D7wJJR9KKVBnByvEMpZoSgJ

{"aspect_ratio": 10.436589057201997, "major_radius": 1.0, "max_elongation": 5.05990126226345, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.42562210606655176, 0.18063537531194554, 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": [[0.8128837230432099, 0.8128837611001536, 0.81288506530582, 0.8128942642245497, 0.8129284547808628, 0.8130191395354656, 0.8132146957638472, 0.813581369597156, 0.8142028956528066, 0.815178895747077, 0.8166222385324661, 0.8186555560863827, 0.8214071187272113, 0.825006268444918, 0.829578605984912, 0.8352411178996277, 0.8420974185228853, 0.8502332683576758, 0.8597125151933471, 0.8705735876872627, 0.8828266534003832, 0.8964515345631562, 0.9113964553331152, 0.9275776741312007, 0.9448800339358875, 0.9631584422867823, 0.9822402713085115, 1.0019286464126933, 1.022006570569844, 1.0422418092642014, 1.0623924395560442, 1.0822129451880353, 1.1014607185041823, 1.1199028092361842, 1.1373227401059365, 1.153527189875426, 1.1683523261638837, 1.1816695533156365, 1.1933904251811174, 1.2034704593109047, 1.2119115783514016, 1.2187628971900204, 1.2241195717997306, 1.2281194295246416, 1.2309371134608853, 1.2327755001427982, 1.2338541979892272, 1.2343950196067959, 1.234604478905762, 1.2346536873922211, 1.2346568678057528], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8284248013509379}

10.436589

1

5.059901

[ [ 0.8128837230432099, 0.8128837611001536, 0.81288506530582, 0.8128942642245497, 0.8129284547808628, 0.8130191395354656, 0.8132146957638472, 0.813581369597156, 0.8142028956528066, 0.815178895747077, 0.8166222385324661, 0.8186555560863827, 0.8214071187272113, 0.825006268444918, 0.829578605984912, 0.8352411178996277, 0.8420974185228853, 0.8502332683576758, 0.8597125151933471, 0.8705735876872627, 0.8828266534003832, 0.8964515345631562, 0.9113964553331152, 0.9275776741312007, 0.9448800339358875, 0.9631584422867823, 0.9822402713085115, 1.0019286464126933, 1.022006570569844, 1.0422418092642014, 1.0623924395560442, 1.0822129451880353, 1.1014607185041823, 1.1199028092361842, 1.1373227401059365, 1.153527189875426, 1.1683523261638837, 1.1816695533156365, 1.1933904251811174, 1.2034704593109047, 1.2119115783514016, 1.2187628971900204, 1.2241195717997306, 1.2281194295246416, 1.2309371134608853, 1.2327755001427982, 1.2338541979892272, 1.2343950196067959, 1.234604478905762, 1.2346536873922211, 1.2346568678057528 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.42562210606655176, 0.18063537531194554, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.828425

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

DUyzTVFAzZTzAFs2Y93xS6Z

null

false

null

false

Dhhex44YXHAoRzUVyMSZbas

DN8bTrBS8UUYGV9sDExCWUk

{"qi": 0.031636429641141904, "vacuum_well": -0.13080915029738652, "aspect_ratio": 10.090512430659114, "max_elongation": 5.140370647454428, "average_triangularity": -0.4915890680960294, "axis_magnetic_mirror_ratio": 0.20640069988502258, "edge_magnetic_mirror_ratio": 0.29565490477365747, "aspect_ratio_over_edge_rotational_transform": 8.56010713370511, "flux_compression_in_regions_of_bad_curvature": 0.9542634628904113, "axis_rotational_transform_over_n_field_periods": 0.288511427608541, "edge_rotational_transform_over_n_field_periods": 0.2946958569866518, "minimum_normalized_magnetic_gradient_scale_length": 6.096258784711353}

10.090512

8.560107

-0.665961

0.206401

0.288511

0.295655

0.294696

0.954263

5.140371

6.096259

0.031636

-0.130809

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.01721617911029036,-0.003582421250171829,-0.0033612577119937473,0.0007183645099801553],[-0.0013253260127541245,-0.0018819516544737874,0.043455768000772686,0.012138988894425112,0.09203497566926427,-0.017141514298358126,-0.007493248729591277,0.0005356927980785373,0.00002153587751002378],[0.0019300145995831924,0.001037871247531393,-0.031938638252265276,-0.006800095869349894,0.014178157870879646,-0.0027053316981612867,-0.003652419548015857,0.0006272920990568805,0.00004831794000286491],[-0.0019402086310167182,0.004592206901534212,0.004628141947046498,-0.005676247172972493,0.0027239300149512658,0.0012995003989619354,-0.0008959745920072313,-0.00026738789777492125,0.00017748752641597683],[0.000020109891775886514,-0.000029514866575526414,0.0008068413078452167,-0.0010310003025820764,0.00003211713282655522,-0.00004981615045931802,-0.00017904584160126233,-0.00006149779085963905,0.00005790219806382297]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.016485733251076287,-0.0022668060339543464,0.0017474224433115795,-0.0004114502017295539],[-0.001263139465654088,0.00032443903091985114,0.03996596726509304,0.0038734271591237684,-0.13505216476612866,0.004594798690790191,0.009624768989974363,-0.0006216312574814937,-0.00019331984431221363],[0.0025050470250674558,0.00156240697820489,-0.018098705629568626,0.0027052642049204987,-0.013435718560650928,0.0018308022275836536,0.003966200527891863,-0.000207311747176611,-0.000046818447384193614],[-0.002788763116219826,0.001517314720067304,-0.0005686482160794438,0.00399880590979769,-0.001951884207732024,-0.0002218177648483752,0.0010459179527759809,0.00023096943830701734,-0.000109981336662216],[0.0010510383999049193,-0.0007225235682938964,-0.000437242886439785,0.0006569759856651778,-0.0006407873446956426,0.00026296129927696956,0.00019964407957872232,0.000023341507242313655,-0.000050385224968641385]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.01721617911029036, -0.003582421250171829, -0.0033612577119937473, 0.0007183645099801553 ], [ -0.0013253260127541245, -0.0018819516544737874, 0.043455768000772686, 0.012138988894425112, 0.09203497566926427, -0.017141514298358126, -0.007493248729591277, 0.0005356927980785373, 0.00002153587751002378 ], [ 0.0019300145995831924, 0.001037871247531393, -0.031938638252265276, -0.006800095869349894, 0.014178157870879646, -0.0027053316981612867, -0.003652419548015857, 0.0006272920990568805, 0.00004831794000286491 ], [ -0.0019402086310167182, 0.004592206901534212, 0.004628141947046498, -0.005676247172972493, 0.0027239300149512658, 0.0012995003989619354, -0.0008959745920072313, -0.00026738789777492125, 0.00017748752641597683 ], [ 0.000020109891775886514, -0.000029514866575526414, 0.0008068413078452167, -0.0010310003025820764, 0.00003211713282655522, -0.00004981615045931802, -0.00017904584160126233, -0.00006149779085963905, 0.00005790219806382297 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.016485733251076287, -0.0022668060339543464, 0.0017474224433115795, -0.0004114502017295539 ], [ -0.001263139465654088, 0.00032443903091985114, 0.03996596726509304, 0.0038734271591237684, -0.13505216476612866, 0.004594798690790191, 0.009624768989974363, -0.0006216312574814937, -0.00019331984431221363 ], [ 0.0025050470250674558, 0.00156240697820489, -0.018098705629568626, 0.0027052642049204987, -0.013435718560650928, 0.0018308022275836536, 0.003966200527891863, -0.000207311747176611, -0.000046818447384193614 ], [ -0.002788763116219826, 0.001517314720067304, -0.0005686482160794438, 0.00399880590979769, -0.001951884207732024, -0.0002218177648483752, 0.0010459179527759809, 0.00023096943830701734, -0.000109981336662216 ], [ 0.0010510383999049193, -0.0007225235682938964, -0.000437242886439785, 0.0006569759856651778, -0.0006407873446956426, 0.00026296129927696956, 0.00019964407957872232, 0.000023341507242313655, -0.000050385224968641385 ] ]

DkgT67pjfxve3ftkM6YBjJM

{"aspect_ratio": 10.534428180259429, "major_radius": 1.0, "max_elongation": 4.958046281334916, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1617258521310495, 0.024538490855206367, 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": [[0.7989488170792955, 0.7989489114246032, 0.7989521717270344, 0.7989749960239778, 0.7990585330190665, 0.7992756933607834, 0.799733204654458, 0.8005692704908717, 0.8019477061651721, 0.8040495141478654, 0.8070628486607744, 0.8111722491015353, 0.8165479212620781, 0.8233357277498887, 0.8316484239550173, 0.8415585495346479, 0.8530932620878475, 0.8662312826239835, 0.8809020138982006, 0.8969867943863263, 0.9143221638207153, 0.9327049416609905, 0.9518988581848465, 0.971642429361729, 0.9916577314122597, 1.0116597088693853, 1.0313656407879472, 1.0505043930901639, 1.0688251003354639, 1.086104946778394, 1.102155753609541, 1.116829125811445, 1.1300199670206674, 1.1416682329466952, 1.1517588618908308, 1.1603198932095833, 1.16741885948129, 1.1731576137728685, 1.177665827655573, 1.1810934661145496, 1.1836026095539782, 1.1853590476469775, 1.1865241112506157, 1.1872472327774712, 1.187659727154671, 1.1878702583607232, 1.1879623920330358, 1.1879945209390235, 1.188002269172875, 1.188003201680756, 1.1880032222615036], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1280687902190079}

10.534428

1

4.958046

[ [ 0.7989488170792955, 0.7989489114246032, 0.7989521717270344, 0.7989749960239778, 0.7990585330190665, 0.7992756933607834, 0.799733204654458, 0.8005692704908717, 0.8019477061651721, 0.8040495141478654, 0.8070628486607744, 0.8111722491015353, 0.8165479212620781, 0.8233357277498887, 0.8316484239550173, 0.8415585495346479, 0.8530932620878475, 0.8662312826239835, 0.8809020138982006, 0.8969867943863263, 0.9143221638207153, 0.9327049416609905, 0.9518988581848465, 0.971642429361729, 0.9916577314122597, 1.0116597088693853, 1.0313656407879472, 1.0505043930901639, 1.0688251003354639, 1.086104946778394, 1.102155753609541, 1.116829125811445, 1.1300199670206674, 1.1416682329466952, 1.1517588618908308, 1.1603198932095833, 1.16741885948129, 1.1731576137728685, 1.177665827655573, 1.1810934661145496, 1.1836026095539782, 1.1853590476469775, 1.1865241112506157, 1.1872472327774712, 1.187659727154671, 1.1878702583607232, 1.1879623920330358, 1.1879945209390235, 1.188002269172875, 1.188003201680756, 1.1880032222615036 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1617258521310495, 0.024538490855206367, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.128069

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

D9v73mx47YLP6xpjXdbQZCZ

null

false

null

false

DZcfSyXuJLrV3WjCManrZUg

DhjZbYJgUDJF7zX7kNRPwqS

{"qi": 0.00591903224294628, "vacuum_well": -0.01676427795577435, "aspect_ratio": 9.268074078117237, "max_elongation": 2.4709482768572575, "average_triangularity": 0.06483108236549964, "axis_magnetic_mirror_ratio": 0.3707610512225152, "edge_magnetic_mirror_ratio": 0.42668146503015, "aspect_ratio_over_edge_rotational_transform": 60.705832135314076, "flux_compression_in_regions_of_bad_curvature": 0.6290064873231322, "axis_rotational_transform_over_n_field_periods": 0.15364284761947855, "edge_rotational_transform_over_n_field_periods": 0.15267188920923747, "minimum_normalized_magnetic_gradient_scale_length": 5.308060606590661}

9.268074

60.705832

-0.043873

0.370761

0.153643

0.426681

0.152672

0.629006

2.470948

5.308061

0.005919

-0.016764

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0032701429285446103,-0.1992590930515746,-0.004635077842927642,0.0027601288694428664],[0.0009587874820448548,-0.016227582579296275,0.03252741433593832,-0.01281431905628219,0.10837920046158007,-0.021819854401561714,-0.004046529645415912,-0.0005320715971763434,-0.0016972382360612114],[0.00047053129756391817,-0.0010310119082965548,-0.0024065987297905963,0.0018902662541866728,0.005390583986595738,-0.0003269483776507506,-0.002548146521572376,-0.0009869821914498347,-0.001150939033705822],[-0.00032703299935188255,-0.00003495721869167882,0.0004223474389995137,0.005077614128241273,-0.004123705998602379,-0.004763086839489235,0.00015888455015235692,0.00022319608361887842,0.00011704536316246736],[-0.00015411937579019137,0.00008135889075885954,-3.09877436034515e-7,0.0016264336505498076,0.0009768827791037504,0.00024589540947643235,-0.0006452758876795508,-0.0006754572086223802,-0.00017492580951556378]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.00883278874610374,0.0038570755490760105,0.0021242870696533247,0.0014342487905665386],[-0.00010060543105975866,-0.009038846599535282,0.03921752057456542,0.0064966276392761065,-0.12123764276757262,0.006075217573252742,0.004047835211384139,-0.004813058716473829,0.0007614488619290773],[-0.0002733197105501902,0.0009523482743649353,0.000281623309468031,-9.84754107458954e-6,0.003073461749036763,-0.0022912651602340225,-0.002429408411062519,-0.0005282267005348937,0.0011750517948176463],[-0.00033206352652720363,0.00008674542138637387,0.00227258778144115,-0.0009447914960633548,-0.0017907555618925384,-0.0001109108182374796,0.0004264810265046399,0.0004074898674997783,0.000010013395591993178],[-0.000012983271721622329,0.0003427552268274731,-0.000383053656271863,-0.0003789747039223721,0.00013772235151346813,0.0004226763253303466,-0.00011401064577586952,0.00011302672422101378,-0.000053349998596570214]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.0032701429285446103, -0.1992590930515746, -0.004635077842927642, 0.0027601288694428664 ], [ 0.0009587874820448548, -0.016227582579296275, 0.03252741433593832, -0.01281431905628219, 0.10837920046158007, -0.021819854401561714, -0.004046529645415912, -0.0005320715971763434, -0.0016972382360612114 ], [ 0.00047053129756391817, -0.0010310119082965548, -0.0024065987297905963, 0.0018902662541866728, 0.005390583986595738, -0.0003269483776507506, -0.002548146521572376, -0.0009869821914498347, -0.001150939033705822 ], [ -0.00032703299935188255, -0.00003495721869167882, 0.0004223474389995137, 0.005077614128241273, -0.004123705998602379, -0.004763086839489235, 0.00015888455015235692, 0.00022319608361887842, 0.00011704536316246736 ], [ -0.00015411937579019137, 0.00008135889075885954, -3.09877436034515e-7, 0.0016264336505498076, 0.0009768827791037504, 0.00024589540947643235, -0.0006452758876795508, -0.0006754572086223802, -0.00017492580951556378 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.00883278874610374, 0.0038570755490760105, 0.0021242870696533247, 0.0014342487905665386 ], [ -0.00010060543105975866, -0.009038846599535282, 0.03921752057456542, 0.0064966276392761065, -0.12123764276757262, 0.006075217573252742, 0.004047835211384139, -0.004813058716473829, 0.0007614488619290773 ], [ -0.0002733197105501902, 0.0009523482743649353, 0.000281623309468031, -0.00000984754107458954, 0.003073461749036763, -0.0022912651602340225, -0.002429408411062519, -0.0005282267005348937, 0.0011750517948176463 ], [ -0.00033206352652720363, 0.00008674542138637387, 0.00227258778144115, -0.0009447914960633548, -0.0017907555618925384, -0.0001109108182374796, 0.0004264810265046399, 0.0004074898674997783, 0.000010013395591993178 ], [ -0.000012983271721622329, 0.0003427552268274731, -0.000383053656271863, -0.0003789747039223721, 0.00013772235151346813, 0.0004226763253303466, -0.00011401064577586952, 0.00011302672422101378, -0.000053349998596570214 ] ]

D3sZpfdtDUQkCgsfUE6Gcj3

{"aspect_ratio": 11.555634175703686, "major_radius": 1.0, "max_elongation": 6.667501997392425, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.34893922435049896, 0.370297094586133, 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": [[0.6694907966298794, 0.6694908077370352, 0.6694913722248489, 0.6694964504466561, 0.6695188889231773, 0.6695868349964726, 0.6697498632329089, 0.6700840188733905, 0.6706952673482098, 0.67172105005424, 0.6733298125714976, 0.6757185047775185, 0.6791081598515273, 0.6837377453084229, 0.6898565469499015, 0.6977153981471331, 0.7075571038546706, 0.7196064325472051, 0.7340600609928436, 0.7510768573943845, 0.7707688787965945, 0.7931934395447956, 0.8183465797024969, 0.8461582263677225, 0.8764892974176925, 0.9091309469944164, 0.9438060956512746, 0.9801733261515155, 1.0178331590997145, 1.0563366515805879, 1.0951961875003227, 1.133898251152286, 1.1719178965121628, 1.2087345448509486, 1.2438486635036967, 1.2767988002720692, 1.3071783724041484, 1.334651538100697, 1.3589674141394616, 1.379971848114518, 1.3976159113364304, 1.4119602531180249, 1.4231744551462921, 1.4315305547385027, 1.437389981246628, 1.4411832917690353, 1.4433823366092242, 1.4444648988755338, 1.4448725788552534, 1.4449640958535426, 1.444969551732485], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.2132871585892918}

11.555634

1

6.667502

[ [ 0.6694907966298794, 0.6694908077370352, 0.6694913722248489, 0.6694964504466561, 0.6695188889231773, 0.6695868349964726, 0.6697498632329089, 0.6700840188733905, 0.6706952673482098, 0.67172105005424, 0.6733298125714976, 0.6757185047775185, 0.6791081598515273, 0.6837377453084229, 0.6898565469499015, 0.6977153981471331, 0.7075571038546706, 0.7196064325472051, 0.7340600609928436, 0.7510768573943845, 0.7707688787965945, 0.7931934395447956, 0.8183465797024969, 0.8461582263677225, 0.8764892974176925, 0.9091309469944164, 0.9438060956512746, 0.9801733261515155, 1.0178331590997145, 1.0563366515805879, 1.0951961875003227, 1.133898251152286, 1.1719178965121628, 1.2087345448509486, 1.2438486635036967, 1.2767988002720692, 1.3071783724041484, 1.334651538100697, 1.3589674141394616, 1.379971848114518, 1.3976159113364304, 1.4119602531180249, 1.4231744551462921, 1.4315305547385027, 1.437389981246628, 1.4411832917690353, 1.4433823366092242, 1.4444648988755338, 1.4448725788552534, 1.4449640958535426, 1.444969551732485 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.34893922435049896, 0.370297094586133, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.213287

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

DeHHcYt5n3ogua2W7dcJMCr

null

false

null

false

DSvxU2q4G8uu9tm4rz7fL8g

D2k6buMsnTvdsHTZSjiBX3y

{"qi": 0.0027198220629206264, "vacuum_well": -0.12413836273076549, "aspect_ratio": 10.010005350902778, "max_elongation": 5.457073448275834, "average_triangularity": -0.636716883209667, "axis_magnetic_mirror_ratio": 0.20932204043993302, "edge_magnetic_mirror_ratio": 0.2442535041957601, "aspect_ratio_over_edge_rotational_transform": 24.55843562897663, "flux_compression_in_regions_of_bad_curvature": 1.4042974851292713, "axis_rotational_transform_over_n_field_periods": 0.17574953842479862, "edge_rotational_transform_over_n_field_periods": 0.20379973509167498, "minimum_normalized_magnetic_gradient_scale_length": 5.7145597208722805}

10.010005

24.558436

-1.001354

0.209322

0.17575

0.244254

0.2038

1.404297

5.457073

5.71456

0.00272

-0.124138

{"r_cos":[[0.0,0.0,0.0,0.0,0.9942053275173587,-0.09051340403047103,-0.05272789327124748,0.011106861140903219,0.0007410212741637174],[-0.0005863159684099455,-0.0053395914981046845,0.025116109164248526,-0.02321454238882164,0.08136191917687781,-0.02253162235236248,0.0009059126458513117,0.0029375557007811333,-0.0003012931349429237],[-0.0006690508537512506,-0.001001385222306404,-0.016521672842679296,-0.003530791160467499,-0.0110757755618748,0.006898135681420373,-0.0012506406075392862,0.0006011702698254112,0.00006376284843753516],[-0.0006740644023249598,-0.0016151639314202274,-0.0006768374946931085,-0.00517529095280858,0.0011247124783345082,-0.004131057168314267,0.002367778406596761,-0.0001087927296065151,0.000026903767737664617],[0.00007484639593576334,0.0002995479460524116,-0.00016702455385475597,-0.00008096739329796745,0.00021633700914936878,-0.0003234851740551393,0.000030623493176716555,0.00006392303420934069,-0.000017008684587738654]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12448189814598953,0.025393167220357057,-0.004381595306517578,-0.0000665384281269138],[0.0012682896179649344,-0.006874457142926034,0.024156176512931712,-0.08980696034124912,-0.15323227058409097,0.062212861530565176,-0.001956455282771141,-0.003407240662416118,0.0007018814678399073],[-0.001586604018054777,-0.000837203451640448,-0.02299314693391144,0.0011449983961388755,-0.020389990005878385,-0.004270927919623733,0.004764105834280007,-0.0012599655557348388,-0.00003749719210147497],[-0.0005165968831811728,-0.0005338060715367823,0.003609749641985018,-0.00010486852528904201,-0.0029753582962924858,0.00570308525176948,-0.0027842416804685476,0.0007648968393931524,-0.00023472658316934256],[-0.00002584121875516391,0.00020985421356171317,0.000039645915996431745,-0.0002736274266022599,0.000022223633577786624,0.00041922121935576614,-0.00043171090683526034,0.00004198548754966504,0.00002085289168929122]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9942053275173587, -0.09051340403047103, -0.05272789327124748, 0.011106861140903219, 0.0007410212741637174 ], [ -0.0005863159684099455, -0.0053395914981046845, 0.025116109164248526, -0.02321454238882164, 0.08136191917687781, -0.02253162235236248, 0.0009059126458513117, 0.0029375557007811333, -0.0003012931349429237 ], [ -0.0006690508537512506, -0.001001385222306404, -0.016521672842679296, -0.003530791160467499, -0.0110757755618748, 0.006898135681420373, -0.0012506406075392862, 0.0006011702698254112, 0.00006376284843753516 ], [ -0.0006740644023249598, -0.0016151639314202274, -0.0006768374946931085, -0.00517529095280858, 0.0011247124783345082, -0.004131057168314267, 0.002367778406596761, -0.0001087927296065151, 0.000026903767737664617 ], [ 0.00007484639593576334, 0.0002995479460524116, -0.00016702455385475597, -0.00008096739329796745, 0.00021633700914936878, -0.0003234851740551393, 0.000030623493176716555, 0.00006392303420934069, -0.000017008684587738654 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12448189814598953, 0.025393167220357057, -0.004381595306517578, -0.0000665384281269138 ], [ 0.0012682896179649344, -0.006874457142926034, 0.024156176512931712, -0.08980696034124912, -0.15323227058409097, 0.062212861530565176, -0.001956455282771141, -0.003407240662416118, 0.0007018814678399073 ], [ -0.001586604018054777, -0.000837203451640448, -0.02299314693391144, 0.0011449983961388755, -0.020389990005878385, -0.004270927919623733, 0.004764105834280007, -0.0012599655557348388, -0.00003749719210147497 ], [ -0.0005165968831811728, -0.0005338060715367823, 0.003609749641985018, -0.00010486852528904201, -0.0029753582962924858, 0.00570308525176948, -0.0027842416804685476, 0.0007648968393931524, -0.00023472658316934256 ], [ -0.00002584121875516391, 0.00020985421356171317, 0.000039645915996431745, -0.0002736274266022599, 0.000022223633577786624, 0.00041922121935576614, -0.00043171090683526034, 0.00004198548754966504, 0.00002085289168929122 ] ]

DFSf4AHMkiuFUimPBi6Pkex

{"aspect_ratio": 11.919761284303878, "major_radius": 1.0, "max_elongation": 5.181020904125569, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04094514703165048, -0.012227911535989854, 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": [[0.8349625564355352, 0.8349625576540467, 0.8349626293693968, 0.8349633418762932, 0.8349667456174413, 0.8349777542463533, 0.8350057525059925, 0.8350662740573467, 0.8351826157381365, 0.8353872742121311, 0.8357231092771746, 0.8362441555419531, 0.837016020917579, 0.8381158264906742, 0.8396316579026508, 0.8416615133855605, 0.8443117481135247, 0.8476950285250228, 0.8519278237515194, 0.8571274742413667, 0.8634088900775039, 0.8708809433298547, 0.8796426300286355, 0.8897790879561652, 0.901357566387387, 0.9144234531091439, 0.9289964724503044, 0.9450671755808443, 0.9625938508933533, 0.9814999877500323, 1.0016724311210357, 1.0229603674813614, 1.0451752835550683, 1.0680920388207096, 1.0914511897652632, 1.114962698231792, 1.1383111472328051, 1.1611625744624667, 1.1831730152804714, 1.2039988215157706, 1.2233087876461262, 1.2407980681145223, 1.2562038030296383, 1.2693222748550157, 1.280027279554973, 1.2882891815900135, 1.2941937714852765, 1.2979594178678255, 1.2999497340287962, 1.300675824055349, 1.300770372882797], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.3228813733394604}

11.919761

1

5.181021

[ [ 0.8349625564355352, 0.8349625576540467, 0.8349626293693968, 0.8349633418762932, 0.8349667456174413, 0.8349777542463533, 0.8350057525059925, 0.8350662740573467, 0.8351826157381365, 0.8353872742121311, 0.8357231092771746, 0.8362441555419531, 0.837016020917579, 0.8381158264906742, 0.8396316579026508, 0.8416615133855605, 0.8443117481135247, 0.8476950285250228, 0.8519278237515194, 0.8571274742413667, 0.8634088900775039, 0.8708809433298547, 0.8796426300286355, 0.8897790879561652, 0.901357566387387, 0.9144234531091439, 0.9289964724503044, 0.9450671755808443, 0.9625938508933533, 0.9814999877500323, 1.0016724311210357, 1.0229603674813614, 1.0451752835550683, 1.0680920388207096, 1.0914511897652632, 1.114962698231792, 1.1383111472328051, 1.1611625744624667, 1.1831730152804714, 1.2039988215157706, 1.2233087876461262, 1.2407980681145223, 1.2562038030296383, 1.2693222748550157, 1.280027279554973, 1.2882891815900135, 1.2941937714852765, 1.2979594178678255, 1.2999497340287962, 1.300675824055349, 1.300770372882797 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.04094514703165048, -0.012227911535989854, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.322881

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

DeUN28ifrtXw6m73zUkQk8B

null

false

null

false

DEhYpygPAFUjxKbWt3D5ush

DNmTZbK6e7goSPmRrL2HLRK

{"qi": 0.0017606812098935355, "vacuum_well": -0.14603744329800125, "aspect_ratio": 9.563240777093283, "max_elongation": 7.094370129146391, "average_triangularity": -0.5355325903440067, "axis_magnetic_mirror_ratio": 0.3946348779812215, "edge_magnetic_mirror_ratio": 0.41653382955970464, "aspect_ratio_over_edge_rotational_transform": 21.586623745780006, "flux_compression_in_regions_of_bad_curvature": 1.299676900453899, "axis_rotational_transform_over_n_field_periods": 0.11896027525339947, "edge_rotational_transform_over_n_field_periods": 0.11075424403692137, "minimum_normalized_magnetic_gradient_scale_length": 6.518749429235337}

9.563241

21.586624

-0.898978

0.394635

0.11896

0.416534

0.110754

1.299677

7.09437

6.518749

0.001761

-0.146037

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.02916162095597262,-0.004560073899684676,-0.0016270604839737808,0.00003854946291627966],[-0.0013160024488650208,-0.0008543186675953742,0.0034066386600187246,-0.06911712226660036,0.08341801773486028,0.025843582226773923,-0.0060233157992453995,-0.0007384116345647058,0.00007434774705018452],[0.0005774263532394866,0.0015944949306119544,-0.00561810275719052,-0.0015752295870145316,-0.013442724354065119,0.006065271133801272,-0.0004782560783889748,-4.470018157242219e-6,0.00011888670381347857],[-0.00017590923489682955,0.0004047320669960924,0.0026537865447315697,-0.0015327524556981325,0.00033506821779592853,-0.0022282778304026406,-0.0007490717667738673,-0.0000896486569671035,0.00003502798202995833],[-0.00006478727964286503,0.00023679852559358095,-0.00020498109628475835,-0.00024421523980455717,-0.00022219461135576654,0.0003269967359172798,-0.00016806318031798448,0.000025551153485573697,-0.000011955727504309632]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07292082860123732,-0.0015829998242118176,0.00044434693872011247,-0.0004481883119088082],[0.000081256723855692,-0.0008204416259169575,0.011532019523801614,-0.03313961044996157,-0.1742297855249519,0.005470133773505154,-0.0024279183643935304,-0.0007502712521835473,0.000020740277321456124],[-0.0005871245106581658,0.0008212847471505316,-0.009769931989305302,0.023311064792045005,-0.0363437848708036,-0.004997223088031008,0.00415073930010716,-0.0009761543005353955,-0.0001801470321668071],[-0.00017471706891361073,-0.0007054049082474505,0.0008201090863055786,0.008108329404697957,-0.0028960540569769435,-0.0002130099771842555,0.0014907914381767156,0.0002266981839852058,-0.00038505611363942246],[0.0002776752909619811,-0.0011672385232042613,-0.00024028424062337358,-0.00022720347106164226,0.0011681806829338382,0.0003102541591838141,-0.00013556073109835746,0.0000236916485374174,-0.00010218459093215368]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.02916162095597262, -0.004560073899684676, -0.0016270604839737808, 0.00003854946291627966 ], [ -0.0013160024488650208, -0.0008543186675953742, 0.0034066386600187246, -0.06911712226660036, 0.08341801773486028, 0.025843582226773923, -0.0060233157992453995, -0.0007384116345647058, 0.00007434774705018452 ], [ 0.0005774263532394866, 0.0015944949306119544, -0.00561810275719052, -0.0015752295870145316, -0.013442724354065119, 0.006065271133801272, -0.0004782560783889748, -0.000004470018157242219, 0.00011888670381347857 ], [ -0.00017590923489682955, 0.0004047320669960924, 0.0026537865447315697, -0.0015327524556981325, 0.00033506821779592853, -0.0022282778304026406, -0.0007490717667738673, -0.0000896486569671035, 0.00003502798202995833 ], [ -0.00006478727964286503, 0.00023679852559358095, -0.00020498109628475835, -0.00024421523980455717, -0.00022219461135576654, 0.0003269967359172798, -0.00016806318031798448, 0.000025551153485573697, -0.000011955727504309632 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07292082860123732, -0.0015829998242118176, 0.00044434693872011247, -0.0004481883119088082 ], [ 0.000081256723855692, -0.0008204416259169575, 0.011532019523801614, -0.03313961044996157, -0.1742297855249519, 0.005470133773505154, -0.0024279183643935304, -0.0007502712521835473, 0.000020740277321456124 ], [ -0.0005871245106581658, 0.0008212847471505316, -0.009769931989305302, 0.023311064792045005, -0.0363437848708036, -0.004997223088031008, 0.00415073930010716, -0.0009761543005353955, -0.0001801470321668071 ], [ -0.00017471706891361073, -0.0007054049082474505, 0.0008201090863055786, 0.008108329404697957, -0.0028960540569769435, -0.0002130099771842555, 0.0014907914381767156, 0.0002266981839852058, -0.00038505611363942246 ], [ 0.0002776752909619811, -0.0011672385232042613, -0.00024028424062337358, -0.00022720347106164226, 0.0011681806829338382, 0.0003102541591838141, -0.00013556073109835746, 0.0000236916485374174, -0.00010218459093215368 ] ]

DCgwniksaicFfP6CF9mvgRk

{"aspect_ratio": 11.894260474663579, "major_radius": 1.0, "max_elongation": 6.813078298740473, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.18717755685775156, 0.11363622419942825, 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": [[0.7271896530058262, 0.727189654078026, 0.727189717375764, 0.7271903510038383, 0.7271934079010475, 0.7272034069235773, 0.7272291520807443, 0.7272855369756249, 0.7273954309238504, 0.7275915512999147, 0.7279182340993255, 0.7284330218231626, 0.729207994762584, 0.7303307786942154, 0.7319051689711081, 0.7340513180693671, 0.7369054408804345, 0.7406189994725132, 0.7453573367304375, 0.7512977362722789, 0.7586268943882057, 0.7675377985141676, 0.7782260160102527, 0.7908854068430843, 0.8057032842704555, 0.8228550589109579, 0.8424984137930661, 0.8647670712907891, 0.8897642274827766, 0.9175557456907888, 0.948163219108539, 0.9815570329710916, 1.017649580225063, 1.0562888119213296, 1.097252335620348, 1.140242313429097, 1.1848814579205111, 1.2307104820556343, 1.2771874326584722, 1.3236894325340427, 1.369517484220337, 1.413905165264195, 1.4560322990100791, 1.49504506647438, 1.5300846292576071, 1.560327355377387, 1.5850416171164956, 1.6036699783699606, 1.6159548060747813, 1.6221536300613009, 1.6235420617911647], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5108313335339607}

11.89426

1

6.813078

[ [ 0.7271896530058262, 0.727189654078026, 0.727189717375764, 0.7271903510038383, 0.7271934079010475, 0.7272034069235773, 0.7272291520807443, 0.7272855369756249, 0.7273954309238504, 0.7275915512999147, 0.7279182340993255, 0.7284330218231626, 0.729207994762584, 0.7303307786942154, 0.7319051689711081, 0.7340513180693671, 0.7369054408804345, 0.7406189994725132, 0.7453573367304375, 0.7512977362722789, 0.7586268943882057, 0.7675377985141676, 0.7782260160102527, 0.7908854068430843, 0.8057032842704555, 0.8228550589109579, 0.8424984137930661, 0.8647670712907891, 0.8897642274827766, 0.9175557456907888, 0.948163219108539, 0.9815570329710916, 1.017649580225063, 1.0562888119213296, 1.097252335620348, 1.140242313429097, 1.1848814579205111, 1.2307104820556343, 1.2771874326584722, 1.3236894325340427, 1.369517484220337, 1.413905165264195, 1.4560322990100791, 1.49504506647438, 1.5300846292576071, 1.560327355377387, 1.5850416171164956, 1.6036699783699606, 1.6159548060747813, 1.6221536300613009, 1.6235420617911647 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.18717755685775156, 0.11363622419942825, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.510831

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

Dix4K2vwCeaHr8uc5WFsvCH

null

false

null

false

Diwm8ueMPjunPgJupVCYtkq

DFSzyAG8nnfreQH6eTW3JLs

{"qi": 0.00665200597128449, "vacuum_well": -0.1079350171541228, "aspect_ratio": 8.345803674876882, "max_elongation": 5.575452846813723, "average_triangularity": -0.26291705742230004, "axis_magnetic_mirror_ratio": 0.22279070586356925, "edge_magnetic_mirror_ratio": 0.2495892040906631, "aspect_ratio_over_edge_rotational_transform": 12.43170832412327, "flux_compression_in_regions_of_bad_curvature": 1.7740964124477023, "axis_rotational_transform_over_n_field_periods": 0.17091536138314453, "edge_rotational_transform_over_n_field_periods": 0.22377733500182373, "minimum_normalized_magnetic_gradient_scale_length": 5.5455921074365175}

8.345804

12.431708

-0.467094

0.222791

0.170915

0.249589

0.223777

1.774096

5.575453

5.545592

0.006652

-0.107935

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.04438923084820516,-0.013948573123716852,0.00172018372254182,-0.0014984036627847745],[0.0009256673599903652,0.003818488699437449,-0.021366052380229657,-0.10187044059307997,0.144965130990162,0.028641405280465618,0.005534297184238193,0.0046334007977954506,-0.0005073523668917366],[0.001638231068738083,0.0032090791471176853,-0.01209512274015537,0.0042937232315217524,-0.019013388823963247,0.015024011484530721,-0.002861126397724318,0.0022200305680756755,-0.00009493528067903252],[-0.0009591607694726471,-0.0015546001267363926,0.011143521246565636,0.0006151041264927089,-0.007008135543468419,0.0002620752793533554,-0.0016424509616193668,0.00008475243141009992,0.00018880635244122683],[-0.00038615637380747447,0.00028697472892606725,-0.0011319874661221388,0.0008345119398619613,0.0004698720841681512,-0.0003695918462640413,0.00003686319005881888,-0.00011354047627768662,2.346569210236963e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.46968466040434836,-0.00871448961751022,-0.004636284518958305,-0.0005636030686144659],[0.0003902054483824346,-0.006042983172747338,-0.011657864068779097,-0.03549606303100423,-0.1212052260671349,-0.005477266859404381,-0.03113159158207416,0.000981304290461232,-0.002003503532934385],[0.0015237467385576333,0.0019694469630855958,-0.0077169434368034775,-0.0028304892507876565,0.00010668231450496125,0.000279328268344454,-0.0017520188172484349,-0.00012482426870491926,-0.00003878373833991354],[-0.00010529882591421363,-0.00035287187942043376,0.0027253796784645,0.000595533950761073,0.0012784153962986117,0.00004108297512433616,0.00018218161694338766,-0.00005538895363449935,-0.00009290752540298071],[3.7351250082838256e-6,-0.0001855006062962258,-0.0002750805821961632,-0.00021801856893581583,-0.00009996401026113495,0.00032938294900998434,-0.000021924740219933568,0.00007880360934823723,0.000013046044795938508]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.04438923084820516, -0.013948573123716852, 0.00172018372254182, -0.0014984036627847745 ], [ 0.0009256673599903652, 0.003818488699437449, -0.021366052380229657, -0.10187044059307997, 0.144965130990162, 0.028641405280465618, 0.005534297184238193, 0.0046334007977954506, -0.0005073523668917366 ], [ 0.001638231068738083, 0.0032090791471176853, -0.01209512274015537, 0.0042937232315217524, -0.019013388823963247, 0.015024011484530721, -0.002861126397724318, 0.0022200305680756755, -0.00009493528067903252 ], [ -0.0009591607694726471, -0.0015546001267363926, 0.011143521246565636, 0.0006151041264927089, -0.007008135543468419, 0.0002620752793533554, -0.0016424509616193668, 0.00008475243141009992, 0.00018880635244122683 ], [ -0.00038615637380747447, 0.00028697472892606725, -0.0011319874661221388, 0.0008345119398619613, 0.0004698720841681512, -0.0003695918462640413, 0.00003686319005881888, -0.00011354047627768662, 0.000002346569210236963 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.46968466040434836, -0.00871448961751022, -0.004636284518958305, -0.0005636030686144659 ], [ 0.0003902054483824346, -0.006042983172747338, -0.011657864068779097, -0.03549606303100423, -0.1212052260671349, -0.005477266859404381, -0.03113159158207416, 0.000981304290461232, -0.002003503532934385 ], [ 0.0015237467385576333, 0.0019694469630855958, -0.0077169434368034775, -0.0028304892507876565, 0.00010668231450496125, 0.000279328268344454, -0.0017520188172484349, -0.00012482426870491926, -0.00003878373833991354 ], [ -0.00010529882591421363, -0.00035287187942043376, 0.0027253796784645, 0.000595533950761073, 0.0012784153962986117, 0.00004108297512433616, 0.00018218161694338766, -0.00005538895363449935, -0.00009290752540298071 ], [ 0.0000037351250082838256, -0.0001855006062962258, -0.0002750805821961632, -0.00021801856893581583, -0.00009996401026113495, 0.00032938294900998434, -0.000021924740219933568, 0.00007880360934823723, 0.000013046044795938508 ] ]

DmNDTPzp2f4r4Lvnz3UzvhR

{"aspect_ratio": 8.303890395742549, "major_radius": 1.0, "max_elongation": 5.124946909531291, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2089222624028158, 0.36990710752531575, 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": [[0.803804384861909, 0.8038052422037203, 0.8038190306131567, 0.8038801131066108, 0.8040443460404761, 0.8043856326608405, 0.8049919981638644, 0.8059615590495971, 0.8073985595383053, 0.8094095740079545, 0.8120999383715755, 0.8155704528154032, 0.8199143854095444, 0.8252147973395363, 0.8315422041974476, 0.838952583002838, 0.84748573086846, 0.8571639781585851, 0.8679912563999715, 0.8799525189557833, 0.893013510462265, 0.9071208791844128, 0.9222026247151915, 0.9381688717791483, 0.9549129592687421, 0.9723128320077344, 0.9902327210699241, 1.008525096752825, 1.0270328764824637, 1.045591867971798, 1.0640334258303927, 1.0821872974780236, 1.0998846315897552, 1.1169611193188378, 1.1332602351086907, 1.1486365398872538, 1.1629590046623757, 1.1761143067666628, 1.1880100438977228, 1.1985778021787517, 1.2077760030024214, 1.2155924383090495, 1.2220463834212887, 1.2271901476706595, 1.2311098806441478, 1.233925386287655, 1.2357885886966617, 1.2368800978214296, 1.2374029240634146, 1.2375714035712841, 1.2375898143334338], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5123079605676228}

8.30389

1

5.124947

[ [ 0.803804384861909, 0.8038052422037203, 0.8038190306131567, 0.8038801131066108, 0.8040443460404761, 0.8043856326608405, 0.8049919981638644, 0.8059615590495971, 0.8073985595383053, 0.8094095740079545, 0.8120999383715755, 0.8155704528154032, 0.8199143854095444, 0.8252147973395363, 0.8315422041974476, 0.838952583002838, 0.84748573086846, 0.8571639781585851, 0.8679912563999715, 0.8799525189557833, 0.893013510462265, 0.9071208791844128, 0.9222026247151915, 0.9381688717791483, 0.9549129592687421, 0.9723128320077344, 0.9902327210699241, 1.008525096752825, 1.0270328764824637, 1.045591867971798, 1.0640334258303927, 1.0821872974780236, 1.0998846315897552, 1.1169611193188378, 1.1332602351086907, 1.1486365398872538, 1.1629590046623757, 1.1761143067666628, 1.1880100438977228, 1.1985778021787517, 1.2077760030024214, 1.2155924383090495, 1.2220463834212887, 1.2271901476706595, 1.2311098806441478, 1.233925386287655, 1.2357885886966617, 1.2368800978214296, 1.2374029240634146, 1.2375714035712841, 1.2375898143334338 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2089222624028158, 0.36990710752531575, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.512308

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

DiTqmEhUvf8snaXkjEGS4bK

null

false

null

false

DaSJgywngctmUc4iUK8nixR

D6fPopcSUk8NeQeig2aDNGL

{"qi": 0.004279862272953685, "vacuum_well": -0.14129896822543836, "aspect_ratio": 9.775222158292811, "max_elongation": 5.877978815133662, "average_triangularity": 0.10534572625457583, "axis_magnetic_mirror_ratio": 0.22475670904131723, "edge_magnetic_mirror_ratio": 0.32323558482774056, "aspect_ratio_over_edge_rotational_transform": 8.559446605224233, "flux_compression_in_regions_of_bad_curvature": 1.3586164115447958, "axis_rotational_transform_over_n_field_periods": 0.24457492425476474, "edge_rotational_transform_over_n_field_periods": 0.22840780740022454, "minimum_normalized_magnetic_gradient_scale_length": 11.047482419446323}

9.775222

8.559447

0.245789

0.224757

0.244575

0.323236

0.228408

1.358616

5.877979

11.047482

0.00428

-0.141299

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.027307473835256453,0.000940317728644511,0.000687835920149882,-0.0005633685657662419],[0.00027669142194237576,0.00001865632300462319,-0.00604429060557137,0.06536783136981653,0.09141759281375111,-0.026944856408553257,0.004699600632486773,-0.0006068945611400923,0.00004614471768997395],[0.0003330826171472047,0.0013565103161722286,-0.004886850304984883,-0.04271840278604011,0.0019343957731038641,-0.007409067648041459,0.00032242311749410826,0.000029151272486636058,0.00011784405608618696],[-0.0004055820256305827,-0.0004170493023762221,0.0036100486324187617,0.011524116338568771,-0.0008687820658677806,-0.0028289817314585478,0.0011168726369618466,-0.00019353786503793421,9.849620328681251e-7],[0.00019983406783207283,-0.000287055246553428,-0.0009597291992262117,-0.00009050180749328902,-0.0021123514750922895,-0.000012944786264757271,0.0005653796873065024,-0.0002125934392608436,2.0094074840020263e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.013517345016290896,-0.0016936618350231797,0.0002150923811341317,0.0003257094695727821],[-0.000341828581847281,-0.0006251806048863959,0.005812759751581517,0.062342019789147204,-0.1675153165131276,0.03372665434634936,-0.0036224349507134003,-0.0008594810379109936,-0.000011338667141118884],[0.00030456997445251545,0.00022316236344257102,-0.005439229611904947,-0.01788133399999084,0.002697782926444056,0.010704456398720672,-0.00286346303656234,0.00038774673516575034,-0.00007534691647176425],[-0.0002933904977292179,0.0007590039503156305,0.0010212152444872072,0.0018247741517407837,-0.00032900239103349167,0.0017477430489215293,-0.0008538632251796864,0.0003473674054400857,-0.00002645124459849419],[0.00011003737036383374,-0.000013549791088976314,-0.00017373314820287803,-0.0002260718893862077,0.0001335951170243155,0.0004069423469239003,-0.00017863372596322926,0.000028618913675941423,0.00001327376970080571]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.027307473835256453, 0.000940317728644511, 0.000687835920149882, -0.0005633685657662419 ], [ 0.00027669142194237576, 0.00001865632300462319, -0.00604429060557137, 0.06536783136981653, 0.09141759281375111, -0.026944856408553257, 0.004699600632486773, -0.0006068945611400923, 0.00004614471768997395 ], [ 0.0003330826171472047, 0.0013565103161722286, -0.004886850304984883, -0.04271840278604011, 0.0019343957731038641, -0.007409067648041459, 0.00032242311749410826, 0.000029151272486636058, 0.00011784405608618696 ], [ -0.0004055820256305827, -0.0004170493023762221, 0.0036100486324187617, 0.011524116338568771, -0.0008687820658677806, -0.0028289817314585478, 0.0011168726369618466, -0.00019353786503793421, 9.849620328681251e-7 ], [ 0.00019983406783207283, -0.000287055246553428, -0.0009597291992262117, -0.00009050180749328902, -0.0021123514750922895, -0.000012944786264757271, 0.0005653796873065024, -0.0002125934392608436, 0.0000020094074840020263 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.013517345016290896, -0.0016936618350231797, 0.0002150923811341317, 0.0003257094695727821 ], [ -0.000341828581847281, -0.0006251806048863959, 0.005812759751581517, 0.062342019789147204, -0.1675153165131276, 0.03372665434634936, -0.0036224349507134003, -0.0008594810379109936, -0.000011338667141118884 ], [ 0.00030456997445251545, 0.00022316236344257102, -0.005439229611904947, -0.01788133399999084, 0.002697782926444056, 0.010704456398720672, -0.00286346303656234, 0.00038774673516575034, -0.00007534691647176425 ], [ -0.0002933904977292179, 0.0007590039503156305, 0.0010212152444872072, 0.0018247741517407837, -0.00032900239103349167, 0.0017477430489215293, -0.0008538632251796864, 0.0003473674054400857, -0.00002645124459849419 ], [ 0.00011003737036383374, -0.000013549791088976314, -0.00017373314820287803, -0.0002260718893862077, 0.0001335951170243155, 0.0004069423469239003, -0.00017863372596322926, 0.000028618913675941423, 0.00001327376970080571 ] ]

Dmq7pv664NiKJBHaeXTV44Z

{"aspect_ratio": 9.354494025268306, "major_radius": 1.0, "max_elongation": 5.717924630515063, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.3068481350444213, 0.24958965839729183, 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": [[0.725414921208885, 0.7254154502883519, 0.7254276149827651, 0.7254941458543237, 0.7256996521049431, 0.726170809749503, 0.7270710472336047, 0.7285919970151394, 0.7309431695099771, 0.7343408828265843, 0.7389972112201727, 0.7451095221802062, 0.7528510248080168, 0.7623626348420852, 0.7737463655520214, 0.7870603734395067, 0.8023157198453124, 0.8194748518652961, 0.838451756810223, 0.8591137026338916, 0.8812844414305193, 0.9047487236036935, 0.929257946123877, 0.9545367390190682, 0.980290279567902, 1.006212113336149, 1.0319922550188783, 1.057325339867441, 1.081918598175592, 1.1054994307873618, 1.1278223728148673, 1.148675245689002, 1.167884314309147, 1.185318286437531, 1.2008910156581427, 1.2145627972827011, 1.2263401786716992, 1.2362742417321337, 1.2444573561043182, 1.25101844709164, 1.2561168731669947, 1.2599350645166343, 1.262670137399668, 1.264524770309472, 1.2656977087899128, 1.2663743590097623, 1.2667180402853846, 1.2668626015222693, 1.2669072814385243, 1.2669149428375621, 1.2669152440313405], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.2035938936982455}

9.354494

1

5.717925

[ [ 0.725414921208885, 0.7254154502883519, 0.7254276149827651, 0.7254941458543237, 0.7256996521049431, 0.726170809749503, 0.7270710472336047, 0.7285919970151394, 0.7309431695099771, 0.7343408828265843, 0.7389972112201727, 0.7451095221802062, 0.7528510248080168, 0.7623626348420852, 0.7737463655520214, 0.7870603734395067, 0.8023157198453124, 0.8194748518652961, 0.838451756810223, 0.8591137026338916, 0.8812844414305193, 0.9047487236036935, 0.929257946123877, 0.9545367390190682, 0.980290279567902, 1.006212113336149, 1.0319922550188783, 1.057325339867441, 1.081918598175592, 1.1054994307873618, 1.1278223728148673, 1.148675245689002, 1.167884314309147, 1.185318286437531, 1.2008910156581427, 1.2145627972827011, 1.2263401786716992, 1.2362742417321337, 1.2444573561043182, 1.25101844709164, 1.2561168731669947, 1.2599350645166343, 1.262670137399668, 1.264524770309472, 1.2656977087899128, 1.2663743590097623, 1.2667180402853846, 1.2668626015222693, 1.2669072814385243, 1.2669149428375621, 1.2669152440313405 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.3068481350444213, 0.24958965839729183, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.203594

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

D3YwL23S4ig9fhNxu54rpo8

null

false

null

false

DJtz5rXcrcmyoFYaNUgnYfr

DafW8T7pz4sRWj8MLPb8x7T

{"qi": 0.01927252348950572, "vacuum_well": -0.028421377863039814, "aspect_ratio": 7.448786033190648, "max_elongation": 6.567872282874544, "average_triangularity": 0.28498096104236476, "axis_magnetic_mirror_ratio": 0.14241231922688272, "edge_magnetic_mirror_ratio": 0.2767243585991043, "aspect_ratio_over_edge_rotational_transform": 9.182695919285697, "flux_compression_in_regions_of_bad_curvature": 2.3185386478306316, "axis_rotational_transform_over_n_field_periods": 0.24889561539953403, "edge_rotational_transform_over_n_field_periods": 0.2027940949657972, "minimum_normalized_magnetic_gradient_scale_length": 2.19374512476802}

7.448786

9.182696

0.233152

0.142412

0.248896

0.276724

0.202794

2.318539

6.567872

2.193745

0.019273

-0.028421

{"r_cos":[[0.0,0.0,0.0,0.0,0.9975749244303773,-0.005882018636525789,-0.022246534902436905,-0.0037477917551281457,-0.0008553495188521705],[-0.0022060556831168788,-0.005498226819996094,-0.0071051116155521465,-0.0674755942536099,0.20089417867327908,-0.02095123334509662,-0.010052531438882373,-0.005617263771568079,0.001323454925747564],[-0.00033373358435797305,0.0024148030216817593,-0.0017429379415692945,0.02214332693660119,-0.040402966726650336,-0.005971531651879131,0.005431849083559613,0.00015513094801058308,-0.0002221533378972334],[-0.00009414626528706314,-0.000734039672467845,0.00030050192166608205,0.003450747161748269,-0.004249247357640272,0.0037353708907290313,-0.0004660551622751007,0.00018285405287051752,0.000014780474450936659],[0.00008900663894072256,-7.723429022889528e-6,-0.0002072506240976135,-0.0001872092730554973,0.00020430742344848887,-0.00029721063556524714,-0.00013510808217662715,0.00016252092925806653,-0.000020068579277241245]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.3907173760108006,0.033721559512091284,-0.0015931325582179984,0.002439006126435078],[-0.00602076765254001,-0.010161110114154106,-0.050131555541761824,-0.06691556924546345,-0.0928362066993446,0.019474248875901143,0.010774790948432783,0.006132950130194886,0.0011012059081290811],[0.0013346682228948653,-0.000617825394461336,0.013265820454557717,-0.003851695466767905,0.019569406887641572,-0.0032328103954776064,-0.0033294391177376547,-0.001546940393351445,-0.00036283943473926515],[-0.00028855309539817405,0.0015596219300617721,-0.0019497762932299794,0.010656373521766065,0.0050043240995235804,-0.0005059952288960813,-0.00017837851841517633,-0.00006397425275733639,0.000025743662054347462],[0.00014148967231148165,-0.00022716037176945521,0.00042030347993552927,-0.0008240478062174219,-0.000396795391530135,-0.0002949400739034128,-0.00014098126642677147,-0.00011610496144024582,-0.000036066694755676244]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9975749244303773, -0.005882018636525789, -0.022246534902436905, -0.0037477917551281457, -0.0008553495188521705 ], [ -0.0022060556831168788, -0.005498226819996094, -0.0071051116155521465, -0.0674755942536099, 0.20089417867327908, -0.02095123334509662, -0.010052531438882373, -0.005617263771568079, 0.001323454925747564 ], [ -0.00033373358435797305, 0.0024148030216817593, -0.0017429379415692945, 0.02214332693660119, -0.040402966726650336, -0.005971531651879131, 0.005431849083559613, 0.00015513094801058308, -0.0002221533378972334 ], [ -0.00009414626528706314, -0.000734039672467845, 0.00030050192166608205, 0.003450747161748269, -0.004249247357640272, 0.0037353708907290313, -0.0004660551622751007, 0.00018285405287051752, 0.000014780474450936659 ], [ 0.00008900663894072256, -0.000007723429022889528, -0.0002072506240976135, -0.0001872092730554973, 0.00020430742344848887, -0.00029721063556524714, -0.00013510808217662715, 0.00016252092925806653, -0.000020068579277241245 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.3907173760108006, 0.033721559512091284, -0.0015931325582179984, 0.002439006126435078 ], [ -0.00602076765254001, -0.010161110114154106, -0.050131555541761824, -0.06691556924546345, -0.0928362066993446, 0.019474248875901143, 0.010774790948432783, 0.006132950130194886, 0.0011012059081290811 ], [ 0.0013346682228948653, -0.000617825394461336, 0.013265820454557717, -0.003851695466767905, 0.019569406887641572, -0.0032328103954776064, -0.0033294391177376547, -0.001546940393351445, -0.00036283943473926515 ], [ -0.00028855309539817405, 0.0015596219300617721, -0.0019497762932299794, 0.010656373521766065, 0.0050043240995235804, -0.0005059952288960813, -0.00017837851841517633, -0.00006397425275733639, 0.000025743662054347462 ], [ 0.00014148967231148165, -0.00022716037176945521, 0.00042030347993552927, -0.0008240478062174219, -0.000396795391530135, -0.0002949400739034128, -0.00014098126642677147, -0.00011610496144024582, -0.000036066694755676244 ] ]

DWXZmziDU8F4iix5S6KsbeQ

{"aspect_ratio": 6.738005069969085, "major_radius": 1.0, "max_elongation": 4.60568116832144, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.15186825612865126, 0.6310008329034212, 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": [[0.8117502880238998, 0.811778894468159, 0.8120268183299634, 0.8127635753374639, 0.8142449643777753, 0.816687556219785, 0.8202586519100821, 0.8250731732954599, 0.8311944224532487, 0.838637179115644, 0.847372238479619, 0.8573318101088355, 0.8684153801746923, 0.8804957525816675, 0.8934250602030103, 0.9070405907646493, 0.9211703111015744, 0.9356380033294147, 0.9502679498199594, 0.964889122584812, 0.9793388479724434, 0.9934659302996693, 1.007133228749913, 1.020219690994265, 1.03262185483253, 1.0442548359375479, 1.0550528256891272, 1.0649691282355356, 1.073975770422264, 1.082062722158533, 1.0892367682128654, 1.095520075387051, 1.1009485015485043, 1.1055696951301162, 1.109441035451344, 1.1126274655834651, 1.1151992704767675, 1.1172298536805194, 1.1187935662010382, 1.1199636408306808, 1.120810284598224, 1.1213989807763312, 1.1217890500443959, 1.122032517813756, 1.1221733311819795, 1.1222469641934434, 1.1222804435598268, 1.1222928178990779, 1.1222960802973176, 1.1222965331280492, 1.1222965460336987], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0464506936729507}

6.738005

1

4.605681

[ [ 0.8117502880238998, 0.811778894468159, 0.8120268183299634, 0.8127635753374639, 0.8142449643777753, 0.816687556219785, 0.8202586519100821, 0.8250731732954599, 0.8311944224532487, 0.838637179115644, 0.847372238479619, 0.8573318101088355, 0.8684153801746923, 0.8804957525816675, 0.8934250602030103, 0.9070405907646493, 0.9211703111015744, 0.9356380033294147, 0.9502679498199594, 0.964889122584812, 0.9793388479724434, 0.9934659302996693, 1.007133228749913, 1.020219690994265, 1.03262185483253, 1.0442548359375479, 1.0550528256891272, 1.0649691282355356, 1.073975770422264, 1.082062722158533, 1.0892367682128654, 1.095520075387051, 1.1009485015485043, 1.1055696951301162, 1.109441035451344, 1.1126274655834651, 1.1151992704767675, 1.1172298536805194, 1.1187935662010382, 1.1199636408306808, 1.120810284598224, 1.1213989807763312, 1.1217890500443959, 1.122032517813756, 1.1221733311819795, 1.1222469641934434, 1.1222804435598268, 1.1222928178990779, 1.1222960802973176, 1.1222965331280492, 1.1222965460336987 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.15186825612865126, 0.6310008329034212, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.046451

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

Di5k3DqyZMaeQeKPNWaLcEn

null

false

null

false

DQGQ7tcDPaCQNnsCGqStaek

DVMLfpSpDsxqD7kv5aZGGjT

{"qi": 0.011972268586044492, "vacuum_well": -0.11793650163864457, "aspect_ratio": 6.683755700554366, "max_elongation": 8.331581517752893, "average_triangularity": -0.24629621150395906, "axis_magnetic_mirror_ratio": 0.5997275519014419, "edge_magnetic_mirror_ratio": 0.8039518097712445, "aspect_ratio_over_edge_rotational_transform": 7.936455790352957, "flux_compression_in_regions_of_bad_curvature": 2.765114994604035, "axis_rotational_transform_over_n_field_periods": 0.21176720263995122, "edge_rotational_transform_over_n_field_periods": 0.21053968790069705, "minimum_normalized_magnetic_gradient_scale_length": 2.252450240337856}

6.683756

7.936456

-0.27276

0.599728

0.211767

0.803952

0.21054

2.765115

8.331582

2.25245

0.011972

-0.117937

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.24620187677864608,-0.05922900887087352,-0.011116152037267771,0.004008573358520682],[0.0017860453623698173,0.0017431255124886074,0.026497330094669765,0.0786168813910712,0.061175082427881715,-0.054377665266984676,0.01861957036150154,0.0004094622579061462,-0.002059248550909785],[-0.00015752419178738754,-0.001438801075895589,-0.006649793394421635,-0.004923377618723446,-0.010283580487213917,0.000500862470636282,-0.003925046388076583,0.0008055657118930151,-0.00017923833786876738],[0.00040084985048558815,0.0007985606277054999,0.002284135638781425,0.000799605327258423,-0.0000317249278524185,-0.0007418674775484165,0.0008662622566298736,-0.00020533274174960967,-0.000043043428252121686],[0.000032832095130954,-0.000017330602884042024,-0.0002974178101138909,-0.00035776216334416656,0.000019956941123326636,-0.00032206125450085556,0.00006580171310387658,-0.00008198901672774222,-6.961352586155698e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.11248405258628855,0.035657519635713106,0.00531524594932821,-0.003782671611305692],[0.002161304654723944,0.01640900184994596,0.0689741831888263,0.01380124947606462,-0.24537457058314527,0.10256812553737975,-0.03749600253508334,0.006264601153757501,-0.0003007904408711191],[-0.0013967331975039674,-0.007957725423625186,-0.011696515550620002,-0.0138242470712036,0.017076178218131004,-0.017024771599393064,0.017178535170280926,-0.00413216717187719,0.0006971923577305184],[0.000043682298163680675,0.00045538134671195904,-0.0015988721446056396,-0.007371008953163265,0.0007959489140267819,0.0014097975127075062,-0.0017169007572268634,0.0006561554818793631,-0.00012185517113936186],[-0.000015468428684200166,-0.0006123749655952911,-0.0009371550490274337,0.0013517572973320668,-0.00014749294055590244,-0.00013066264250647926,0.0005834667834791684,-0.0002987063859388445,0.00011646521655009455]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.24620187677864608, -0.05922900887087352, -0.011116152037267771, 0.004008573358520682 ], [ 0.0017860453623698173, 0.0017431255124886074, 0.026497330094669765, 0.0786168813910712, 0.061175082427881715, -0.054377665266984676, 0.01861957036150154, 0.0004094622579061462, -0.002059248550909785 ], [ -0.00015752419178738754, -0.001438801075895589, -0.006649793394421635, -0.004923377618723446, -0.010283580487213917, 0.000500862470636282, -0.003925046388076583, 0.0008055657118930151, -0.00017923833786876738 ], [ 0.00040084985048558815, 0.0007985606277054999, 0.002284135638781425, 0.000799605327258423, -0.0000317249278524185, -0.0007418674775484165, 0.0008662622566298736, -0.00020533274174960967, -0.000043043428252121686 ], [ 0.000032832095130954, -0.000017330602884042024, -0.0002974178101138909, -0.00035776216334416656, 0.000019956941123326636, -0.00032206125450085556, 0.00006580171310387658, -0.00008198901672774222, -0.000006961352586155698 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.11248405258628855, 0.035657519635713106, 0.00531524594932821, -0.003782671611305692 ], [ 0.002161304654723944, 0.01640900184994596, 0.0689741831888263, 0.01380124947606462, -0.24537457058314527, 0.10256812553737975, -0.03749600253508334, 0.006264601153757501, -0.0003007904408711191 ], [ -0.0013967331975039674, -0.007957725423625186, -0.011696515550620002, -0.0138242470712036, 0.017076178218131004, -0.017024771599393064, 0.017178535170280926, -0.00413216717187719, 0.0006971923577305184 ], [ 0.000043682298163680675, 0.00045538134671195904, -0.0015988721446056396, -0.007371008953163265, 0.0007959489140267819, 0.0014097975127075062, -0.0017169007572268634, 0.0006561554818793631, -0.00012185517113936186 ], [ -0.000015468428684200166, -0.0006123749655952911, -0.0009371550490274337, 0.0013517572973320668, -0.00014749294055590244, -0.00013066264250647926, 0.0005834667834791684, -0.0002987063859388445, 0.00011646521655009455 ] ]

DMoqoniTMEu9NnFGtMkYuQX

{"aspect_ratio": 6.2556796495587, "major_radius": 1.0, "max_elongation": 6.955341086753111, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2515617008838509, 0.004338378050008434, 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": [[0.572178136104152, 0.5722625175954136, 0.5728802140688647, 0.5745519629565243, 0.577727256086092, 0.5827714652734671, 0.5899644137083806, 0.5995032270513151, 0.6115072945796449, 0.6260243758026747, 0.6430373369788341, 0.6624712082688072, 0.6842003605705118, 0.7080556635872017, 0.7338315254193029, 0.7612927393697089, 0.7901810810858969, 0.82022161159645, 0.8511286509645636, 0.8826113942339604, 0.9143791467551519, 0.9461461602939394, 0.9776360548388975, 1.0085858139489665, 1.038749343965265, 1.0679005895621039, 1.095836200012994, 1.1223777422615844, 1.1473734584653514, 1.1706995671630729, 1.1922611086414179, 1.2119923364736591, 1.2298566586054354, 1.245846132799973, 1.2599805227619172, 1.2723059228734024, 1.2828929612442295, 1.2918345927578743, 1.2992434960617638, 1.3052490911055565, 1.3099941970170081, 1.3136313540265756, 1.316318838116485, 1.3182164035569501, 1.3194807972853018, 1.3202611015390748, 1.3206939797891182, 1.3208989309555434, 1.3209737099422405, 1.3209901816035634, 1.3209911702738202], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8386394421607104}

6.25568

1

6.955341

[ [ 0.572178136104152, 0.5722625175954136, 0.5728802140688647, 0.5745519629565243, 0.577727256086092, 0.5827714652734671, 0.5899644137083806, 0.5995032270513151, 0.6115072945796449, 0.6260243758026747, 0.6430373369788341, 0.6624712082688072, 0.6842003605705118, 0.7080556635872017, 0.7338315254193029, 0.7612927393697089, 0.7901810810858969, 0.82022161159645, 0.8511286509645636, 0.8826113942339604, 0.9143791467551519, 0.9461461602939394, 0.9776360548388975, 1.0085858139489665, 1.038749343965265, 1.0679005895621039, 1.095836200012994, 1.1223777422615844, 1.1473734584653514, 1.1706995671630729, 1.1922611086414179, 1.2119923364736591, 1.2298566586054354, 1.245846132799973, 1.2599805227619172, 1.2723059228734024, 1.2828929612442295, 1.2918345927578743, 1.2992434960617638, 1.3052490911055565, 1.3099941970170081, 1.3136313540265756, 1.316318838116485, 1.3182164035569501, 1.3194807972853018, 1.3202611015390748, 1.3206939797891182, 1.3208989309555434, 1.3209737099422405, 1.3209901816035634, 1.3209911702738202 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2515617008838509, 0.004338378050008434, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.838639

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

D7vEeAUbDEiQ3VrFTPFV4vC

null

false

null

false

DJS2ndVxXNE8V2vsEUho6Si

DQzHr34aJEqbeGh4HnXtXBd

{"qi": 0.0018406116965639472, "vacuum_well": -0.035263277475547784, "aspect_ratio": 8.397621948926002, "max_elongation": 6.2206727411293885, "average_triangularity": 0.17409889166503528, "axis_magnetic_mirror_ratio": 0.2582401229257446, "edge_magnetic_mirror_ratio": 0.3513226491668006, "aspect_ratio_over_edge_rotational_transform": 11.906402993335604, "flux_compression_in_regions_of_bad_curvature": 1.5803353984542021, "axis_rotational_transform_over_n_field_periods": 0.20214665727124873, "edge_rotational_transform_over_n_field_periods": 0.17632575416829122, "minimum_normalized_magnetic_gradient_scale_length": 4.991589203462029}

8.397622

11.906403

0.151294

0.25824

0.202147

0.351323

0.176326

1.580335

6.220673

4.991589

0.001841

-0.035263

{"r_cos":[[0.0,0.0,0.0,0.0,0.9954368191404048,-0.024273259535511318,-0.017017663363702987,-0.0010759565456139979,0.0005131174065241204],[-0.0001473565939253351,-0.004972192508637003,-0.01595884812381442,-0.047744581467319906,0.19830598309597575,-0.0436969024954447,-0.00430840528021016,-0.0006827787144074748,0.000059072214439675726],[-0.00023266963624801076,0.002087271245386717,0.005268919444321242,0.01698656514163434,-0.03907060600266002,0.001124900328408408,0.004128106263411474,0.00038529994077122413,-0.00013567778413802403],[0.000021991387840396517,-0.00017321647888543764,-0.0011567472722232883,-0.0028796058153744996,0.0005631409309424833,0.003251912502604769,-0.0011804198875289764,0.0000742317355098267,0.000017538954378145042],[-0.000032619342946626745,-0.000040994163952653036,-0.000039248164874772744,-0.0001897171678143126,0.00010252673316105479,0.0002502802333339609,-0.00022812235771756679,0.0001470019356251853,-0.00002450931324335134]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1963298201949061,0.018742469486791136,-0.00009136047208286711,-0.00011510259295690292],[0.00042373229670355323,-0.0049963282150268015,-0.013341870046752146,-0.07911285804650474,-0.07007051133269131,0.05410888726982864,-0.009887925609583317,0.004300410955981524,-0.000751868619585368],[-0.00032256913928651877,0.0004135774105591389,0.004047444560737091,-0.003323656384393705,0.010554713031630206,-0.0029720598396728447,-0.00029006123459488116,-0.0017628306681531556,0.0004258118429625581],[-0.0002538479236126288,0.00007996795712128708,-0.00024030634780325072,0.0069986888569285735,0.001762438700300287,-0.004446692822545927,0.0004684628964804846,0.0003843710924486505,-0.00007429884464565028],[0.0001084388653095447,0.00015471833714705578,0.0006724545560715932,-0.00045331197861655983,-0.0009413917483815556,-0.0000911876988024191,0.000673430799481013,-0.0003420363331496716,0.0000378901048529738]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9954368191404048, -0.024273259535511318, -0.017017663363702987, -0.0010759565456139979, 0.0005131174065241204 ], [ -0.0001473565939253351, -0.004972192508637003, -0.01595884812381442, -0.047744581467319906, 0.19830598309597575, -0.0436969024954447, -0.00430840528021016, -0.0006827787144074748, 0.000059072214439675726 ], [ -0.00023266963624801076, 0.002087271245386717, 0.005268919444321242, 0.01698656514163434, -0.03907060600266002, 0.001124900328408408, 0.004128106263411474, 0.00038529994077122413, -0.00013567778413802403 ], [ 0.000021991387840396517, -0.00017321647888543764, -0.0011567472722232883, -0.0028796058153744996, 0.0005631409309424833, 0.003251912502604769, -0.0011804198875289764, 0.0000742317355098267, 0.000017538954378145042 ], [ -0.000032619342946626745, -0.000040994163952653036, -0.000039248164874772744, -0.0001897171678143126, 0.00010252673316105479, 0.0002502802333339609, -0.00022812235771756679, 0.0001470019356251853, -0.00002450931324335134 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1963298201949061, 0.018742469486791136, -0.00009136047208286711, -0.00011510259295690292 ], [ 0.00042373229670355323, -0.0049963282150268015, -0.013341870046752146, -0.07911285804650474, -0.07007051133269131, 0.05410888726982864, -0.009887925609583317, 0.004300410955981524, -0.000751868619585368 ], [ -0.00032256913928651877, 0.0004135774105591389, 0.004047444560737091, -0.003323656384393705, 0.010554713031630206, -0.0029720598396728447, -0.00029006123459488116, -0.0017628306681531556, 0.0004258118429625581 ], [ -0.0002538479236126288, 0.00007996795712128708, -0.00024030634780325072, 0.0069986888569285735, 0.001762438700300287, -0.004446692822545927, 0.0004684628964804846, 0.0003843710924486505, -0.00007429884464565028 ], [ 0.0001084388653095447, 0.00015471833714705578, 0.0006724545560715932, -0.00045331197861655983, -0.0009413917483815556, -0.0000911876988024191, 0.000673430799481013, -0.0003420363331496716, 0.0000378901048529738 ] ]

DPtUAqkyNaHqAfr88prEGvs

{"aspect_ratio": 7.907563216351067, "major_radius": 1.0, "max_elongation": 5.779797980182222, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2823943816731183, 0.03248578283646021, 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": [[0.7295653895606236, 0.7295681050052044, 0.7296056756533642, 0.7297569031390481, 0.7301364745699186, 0.7308838796230945, 0.7321538591261848, 0.7341080867935719, 0.7369079368475181, 0.7407082417846139, 0.7456519682538681, 0.7518657517365864, 0.7594562382353512, 0.7685071859083755, 0.7790772826815509, 0.7911986379403355, 0.8048759077893691, 0.8200860142731603, 0.8367784195029065, 0.8548759159134146, 0.874275893932817, 0.894852048220592, 0.9164564833379614, 0.9389221792717487, 0.9620657766439515, 0.9856906407046937, 1.0095901623208263, 1.0335512531262534, 1.0573579907779087, 1.0807953688421295, 1.1036531041919946, 1.125729452890394, 1.1468349833185787, 1.1667962527236722, 1.1854593303196899, 1.2026931064770405, 1.218392323230113, 1.2324802561229347, 1.2449109710224775, 1.2556710715638757, 1.2647808427750846, 1.272294683291414, 1.278300701055994, 1.282919323301567, 1.2863007371406008, 1.2886209253700645, 1.2900759795774195, 1.2908742298022782, 1.2912254528249298, 1.291325779226392, 1.2913348222565415], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7329347803936037}

7.907563

1

5.779798

[ [ 0.7295653895606236, 0.7295681050052044, 0.7296056756533642, 0.7297569031390481, 0.7301364745699186, 0.7308838796230945, 0.7321538591261848, 0.7341080867935719, 0.7369079368475181, 0.7407082417846139, 0.7456519682538681, 0.7518657517365864, 0.7594562382353512, 0.7685071859083755, 0.7790772826815509, 0.7911986379403355, 0.8048759077893691, 0.8200860142731603, 0.8367784195029065, 0.8548759159134146, 0.874275893932817, 0.894852048220592, 0.9164564833379614, 0.9389221792717487, 0.9620657766439515, 0.9856906407046937, 1.0095901623208263, 1.0335512531262534, 1.0573579907779087, 1.0807953688421295, 1.1036531041919946, 1.125729452890394, 1.1468349833185787, 1.1667962527236722, 1.1854593303196899, 1.2026931064770405, 1.218392323230113, 1.2324802561229347, 1.2449109710224775, 1.2556710715638757, 1.2647808427750846, 1.272294683291414, 1.278300701055994, 1.282919323301567, 1.2863007371406008, 1.2886209253700645, 1.2900759795774195, 1.2908742298022782, 1.2912254528249298, 1.291325779226392, 1.2913348222565415 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2823943816731183, 0.03248578283646021, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.732935

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

DSGKqCXzuGxkgvx4YUQHbKh

null

false

null

false

DRQM7cYmerdiCbULBtesXSZ

D9LWGHcVUks8QVWwZujnQVu

{"qi": 0.014519640530428767, "vacuum_well": -0.1772647267003061, "aspect_ratio": 10.120243672406534, "max_elongation": 4.3773567879369635, "average_triangularity": -0.48579250238107263, "axis_magnetic_mirror_ratio": 0.22457077115630983, "edge_magnetic_mirror_ratio": 0.32196125314784074, "aspect_ratio_over_edge_rotational_transform": 10.89965108162253, "flux_compression_in_regions_of_bad_curvature": 1.002259926046792, "axis_rotational_transform_over_n_field_periods": 0.2866959861838923, "edge_rotational_transform_over_n_field_periods": 0.23212311102026645, "minimum_normalized_magnetic_gradient_scale_length": 6.150221334935765}

10.120244

10.899651

-0.669772

0.224571

0.286696

0.321961

0.232123

1.00226

4.377357

6.150221

0.01452

-0.177265

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0007720893236664539,-0.005455486819627433,0.0008696076473666635,-0.000356725132714798],[-0.0007384981283397314,-0.004104390207928673,0.04571635634389591,-0.0415680734915374,0.09801876488298422,0.006145483707850584,-0.007955016140328997,0.00004493970874493505,-0.00008440925342301887],[0.00021567553886179362,0.004180347193543118,-0.029537483462806643,-0.0011717836133579755,0.009201877815540898,0.0006975555332608113,-0.003469997243518359,0.0003016518062978232,0.0004966187009681855],[-0.001459530732458691,0.0004087804632488236,0.00455705875567307,0.002427935647750173,0.00644676619048095,0.0002975606291329006,-0.0012296894358233812,2.5076696372883906e-6,0.00020834545284092998],[0.0005868409901585155,-0.0005985844134366077,-0.0010751995384721863,-0.0005719377670630275,0.0015605997946256092,0.00040276488675787715,-0.00022286993615363643,0.00003710880857762369,0.00010262658707362734]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0560943271557145,0.007370024510283912,-0.0011195678849421477,-0.00023501624732650934],[-0.0008448776148398006,-0.006961865093391202,0.04059784084307544,-0.005568479755433087,-0.13680043674007503,0.008147659339194063,0.006396724880381809,-0.0006269427089280323,-0.0003196419388500713],[-0.00008211665798509702,0.003498502563839193,-0.02392747038235847,-0.006861505163690398,-0.015177366738234182,0.003772103072779082,0.0038825416305361526,-0.0006939884215861321,-0.00035369343231323597],[-0.0020516497568607754,0.002994593310746787,0.0010902466581999342,0.0013615161815262054,-0.005930665482568127,0.000027106692605239702,0.0015458835250640934,-0.00009694735531546651,-0.0001548035872725019],[0.0007313415809995288,-0.0011494436638442012,-0.000060860177980173836,-0.0000484425013804256,-0.001056942311104499,-0.0002651540313581762,0.0002717706927483689,-0.000047607742211856286,-0.00008340195001247617]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.0007720893236664539, -0.005455486819627433, 0.0008696076473666635, -0.000356725132714798 ], [ -0.0007384981283397314, -0.004104390207928673, 0.04571635634389591, -0.0415680734915374, 0.09801876488298422, 0.006145483707850584, -0.007955016140328997, 0.00004493970874493505, -0.00008440925342301887 ], [ 0.00021567553886179362, 0.004180347193543118, -0.029537483462806643, -0.0011717836133579755, 0.009201877815540898, 0.0006975555332608113, -0.003469997243518359, 0.0003016518062978232, 0.0004966187009681855 ], [ -0.001459530732458691, 0.0004087804632488236, 0.00455705875567307, 0.002427935647750173, 0.00644676619048095, 0.0002975606291329006, -0.0012296894358233812, 0.0000025076696372883906, 0.00020834545284092998 ], [ 0.0005868409901585155, -0.0005985844134366077, -0.0010751995384721863, -0.0005719377670630275, 0.0015605997946256092, 0.00040276488675787715, -0.00022286993615363643, 0.00003710880857762369, 0.00010262658707362734 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0560943271557145, 0.007370024510283912, -0.0011195678849421477, -0.00023501624732650934 ], [ -0.0008448776148398006, -0.006961865093391202, 0.04059784084307544, -0.005568479755433087, -0.13680043674007503, 0.008147659339194063, 0.006396724880381809, -0.0006269427089280323, -0.0003196419388500713 ], [ -0.00008211665798509702, 0.003498502563839193, -0.02392747038235847, -0.006861505163690398, -0.015177366738234182, 0.003772103072779082, 0.0038825416305361526, -0.0006939884215861321, -0.00035369343231323597 ], [ -0.0020516497568607754, 0.002994593310746787, 0.0010902466581999342, 0.0013615161815262054, -0.005930665482568127, 0.000027106692605239702, 0.0015458835250640934, -0.00009694735531546651, -0.0001548035872725019 ], [ 0.0007313415809995288, -0.0011494436638442012, -0.000060860177980173836, -0.0000484425013804256, -0.001056942311104499, -0.0002651540313581762, 0.0002717706927483689, -0.000047607742211856286, -0.00008340195001247617 ] ]

Dc4UZqHVijj5qp9YanqErSS

{"aspect_ratio": 11.203882624030692, "major_radius": 1.0, "max_elongation": 5.262227677172797, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07402387848847308, -0.1758995872503433, 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": [[0.7737431857830402, 0.7737432207601533, 0.7737447539599874, 0.7737571994035751, 0.7738078375894328, 0.7739506812233456, 0.7742722614640786, 0.7748936439811567, 0.7759686632668877, 0.7776787621794896, 0.7802250576210766, 0.783818377747949, 0.7886680633537974, 0.7949703172599792, 0.8028968358304039, 0.8125843775338157, 0.8241258237836171, 0.8375631743494012, 0.8528827994315781, 0.8700131480093234, 0.8888249915086317, 0.9091341667318021, 0.930706675324382, 0.9532659013258165, 0.9765016256172536, 1.0000804480108068, 1.0236571756203106, 1.0468867009710996, 1.0694358756730353, 1.0909948857043763, 1.1112876524261581, 1.130080819044195, 1.1471909347155111, 1.1624895168856086, 1.1759057554263515, 1.1874267180402154, 1.1970950231301776, 1.2050040613975415, 1.2112909678289403, 1.2161276679186555, 1.2197104417395523, 1.222248561832279, 1.223952659850669, 1.225023555231791, 1.2256423278844966, 1.2259624246039176, 1.2261045405270528, 1.2261548913260374, 1.2261672569573143, 1.2261687787761582, 1.2261688134377704], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1208329184576094}

11.203883

1

5.262228

[ [ 0.7737431857830402, 0.7737432207601533, 0.7737447539599874, 0.7737571994035751, 0.7738078375894328, 0.7739506812233456, 0.7742722614640786, 0.7748936439811567, 0.7759686632668877, 0.7776787621794896, 0.7802250576210766, 0.783818377747949, 0.7886680633537974, 0.7949703172599792, 0.8028968358304039, 0.8125843775338157, 0.8241258237836171, 0.8375631743494012, 0.8528827994315781, 0.8700131480093234, 0.8888249915086317, 0.9091341667318021, 0.930706675324382, 0.9532659013258165, 0.9765016256172536, 1.0000804480108068, 1.0236571756203106, 1.0468867009710996, 1.0694358756730353, 1.0909948857043763, 1.1112876524261581, 1.130080819044195, 1.1471909347155111, 1.1624895168856086, 1.1759057554263515, 1.1874267180402154, 1.1970950231301776, 1.2050040613975415, 1.2112909678289403, 1.2161276679186555, 1.2197104417395523, 1.222248561832279, 1.223952659850669, 1.225023555231791, 1.2256423278844966, 1.2259624246039176, 1.2261045405270528, 1.2261548913260374, 1.2261672569573143, 1.2261687787761582, 1.2261688134377704 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.07402387848847308, -0.1758995872503433, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.120833

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

DUzHkF66hroqz2FZEBcLiY6

null

false

null

false

DBD72eifDAwtyA4Uhv6WVMx

D5BoW4BjT88eaLFxft6oB9X

{"qi": 0.04196084731296275, "vacuum_well": -0.09385647577744684, "aspect_ratio": 9.493419845605386, "max_elongation": 2.9631151294303866, "average_triangularity": 0.23506784270472572, "axis_magnetic_mirror_ratio": 0.15509806455499509, "edge_magnetic_mirror_ratio": 0.3220541396199621, "aspect_ratio_over_edge_rotational_transform": 12.625366899477553, "flux_compression_in_regions_of_bad_curvature": 0.7692481236115559, "axis_rotational_transform_over_n_field_periods": 0.17620226282449206, "edge_rotational_transform_over_n_field_periods": 0.25064406500530373, "minimum_normalized_magnetic_gradient_scale_length": 0.22816630620377615}

9.49342

12.625367

-0.007914

0.155098

0.176202

0.322054

0.250644

0.769248

2.963115

0.228166

0.041961

-0.093856

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.010039640924894311,-0.03370488605282685,-0.008167553356725766,-0.0022298750541448207],[-0.0064241209873017405,-0.0006081462478314083,0.042493303170763636,-0.027540191044385508,0.11107501234906199,-0.015637726264371453,-0.006270958095760715,0.002568238645141948,-0.0015439426531657211],[-0.0019502928286789809,0.002488701321958024,-0.0044161901856411175,-0.005245012629161822,-0.018585429705272827,0.004492423967062101,0.00024667201768631495,-0.00010076902605330004,9.205594779366577e-6],[-0.0010947679904373712,-0.00002330863604709306,-0.003212464529621373,0.003979627335523412,0.003406317901183701,-0.0005904067525525124,0.0007216227814759537,-0.00024181860547426755,-0.00012358446384945233],[0.0003423313754263512,0.00048212512291422125,-0.00013796883834599257,-0.0008718575881071877,0.00011152687899145497,-0.0006064017995460317,0.0003399427257915282,-5.1027636267957685e-6,-0.000014047401373260064]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.01907041041989014,-0.0029789581029566314,0.0037762917538724,-0.00020105782500634553],[-0.0034143000455798753,0.007450135002579957,0.05119868838076676,-0.007979531882002127,-0.10991347130444296,-0.00871950415178901,-0.008371006990576923,-0.004281533003644875,0.001156793031130708],[-0.000926013584517133,0.0008743782055489745,0.0003204812226087221,-0.005664502197638593,0.024152561926473904,0.0015915412839221012,-0.0001695671522459274,-0.00027133383330268316,-0.0005028116320231641],[-0.0004184696957496012,0.0018424979863271348,0.006387337635404788,0.0024908525972817753,-0.001484342637030259,-0.0002920033128009903,-0.0011092622598853292,0.0005067752197586844,-0.00002145117688033668],[0.0003751088113794012,-0.0003929984397513372,0.00011595135153453373,0.000268162877588467,0.0007317797221633139,0.0009631218145757177,-0.00019985368306395945,-0.0000704596995929238,0.00007994571159408378]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.010039640924894311, -0.03370488605282685, -0.008167553356725766, -0.0022298750541448207 ], [ -0.0064241209873017405, -0.0006081462478314083, 0.042493303170763636, -0.027540191044385508, 0.11107501234906199, -0.015637726264371453, -0.006270958095760715, 0.002568238645141948, -0.0015439426531657211 ], [ -0.0019502928286789809, 0.002488701321958024, -0.0044161901856411175, -0.005245012629161822, -0.018585429705272827, 0.004492423967062101, 0.00024667201768631495, -0.00010076902605330004, 0.000009205594779366577 ], [ -0.0010947679904373712, -0.00002330863604709306, -0.003212464529621373, 0.003979627335523412, 0.003406317901183701, -0.0005904067525525124, 0.0007216227814759537, -0.00024181860547426755, -0.00012358446384945233 ], [ 0.0003423313754263512, 0.00048212512291422125, -0.00013796883834599257, -0.0008718575881071877, 0.00011152687899145497, -0.0006064017995460317, 0.0003399427257915282, -0.0000051027636267957685, -0.000014047401373260064 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.01907041041989014, -0.0029789581029566314, 0.0037762917538724, -0.00020105782500634553 ], [ -0.0034143000455798753, 0.007450135002579957, 0.05119868838076676, -0.007979531882002127, -0.10991347130444296, -0.00871950415178901, -0.008371006990576923, -0.004281533003644875, 0.001156793031130708 ], [ -0.000926013584517133, 0.0008743782055489745, 0.0003204812226087221, -0.005664502197638593, 0.024152561926473904, 0.0015915412839221012, -0.0001695671522459274, -0.00027133383330268316, -0.0005028116320231641 ], [ -0.0004184696957496012, 0.0018424979863271348, 0.006387337635404788, 0.0024908525972817753, -0.001484342637030259, -0.0002920033128009903, -0.0011092622598853292, 0.0005067752197586844, -0.00002145117688033668 ], [ 0.0003751088113794012, -0.0003929984397513372, 0.00011595135153453373, 0.000268162877588467, 0.0007317797221633139, 0.0009631218145757177, -0.00019985368306395945, -0.0000704596995929238, 0.00007994571159408378 ] ]

DieJjmjwUCiBPqEFpYWRSDi

{"aspect_ratio": 8.0866225831511, "major_radius": 1.0, "max_elongation": 4.4984967237085485, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.17341751633335453, 0.006909448137087825, 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": [[0.8744425781334244, 0.8744430634519312, 0.8744503523266868, 0.8744814750797992, 0.8745633989129752, 0.8747315288360271, 0.8750281778017956, 0.8755010534486775, 0.8762017826615772, 0.8771844862125981, 0.8785044116547472, 0.8802166304720119, 0.8823748042253631, 0.8850300236532538, 0.8882297241856704, 0.8920166810077236, 0.8964280866035634, 0.9014947135897309, 0.9072401655881764, 0.9136802188803933, 0.9208222576178504, 0.9286648054360177, 0.9371971564281003, 0.9463991085804817, 0.9562408029569363, 0.9666826721467511, 0.9776755017687263, 0.9891606091565166, 1.001070143751536, 1.013327514211699, 1.0258479478261937, 1.0385391885328656, 1.051302340698708, 1.0640328668900363, 1.0766217491886394, 1.0889568252892714, 1.1009243127641748, 1.112410537678925, 1.1233038874538643, 1.1334970128884487, 1.1428893112344634, 1.1513897321497435, 1.1589199630401619, 1.1654180728334569, 1.1708427295474295, 1.1751781691714065, 1.1784402082639205, 1.1806838280062304, 1.1820134155785467, 1.1825984208270888, 1.1827055513556841], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.41360108959196384}

8.086623

1

4.498497

[ [ 0.8744425781334244, 0.8744430634519312, 0.8744503523266868, 0.8744814750797992, 0.8745633989129752, 0.8747315288360271, 0.8750281778017956, 0.8755010534486775, 0.8762017826615772, 0.8771844862125981, 0.8785044116547472, 0.8802166304720119, 0.8823748042253631, 0.8850300236532538, 0.8882297241856704, 0.8920166810077236, 0.8964280866035634, 0.9014947135897309, 0.9072401655881764, 0.9136802188803933, 0.9208222576178504, 0.9286648054360177, 0.9371971564281003, 0.9463991085804817, 0.9562408029569363, 0.9666826721467511, 0.9776755017687263, 0.9891606091565166, 1.001070143751536, 1.013327514211699, 1.0258479478261937, 1.0385391885328656, 1.051302340698708, 1.0640328668900363, 1.0766217491886394, 1.0889568252892714, 1.1009243127641748, 1.112410537678925, 1.1233038874538643, 1.1334970128884487, 1.1428893112344634, 1.1513897321497435, 1.1589199630401619, 1.1654180728334569, 1.1708427295474295, 1.1751781691714065, 1.1784402082639205, 1.1806838280062304, 1.1820134155785467, 1.1825984208270888, 1.1827055513556841 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.17341751633335453, 0.006909448137087825, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.413601

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

DEA6M7foBm6bTgZmhcXe7zF

null

false

null

false

D9LPYW83bRJgXoDX5AbfpB7

Djp7v5jDQpktE4DaL5KcEFu

{"qi": 0.01744468048879146, "vacuum_well": -0.046402658592413625, "aspect_ratio": 9.434067805926954, "max_elongation": 4.834553287415075, "average_triangularity": 0.2047332350575313, "axis_magnetic_mirror_ratio": 0.10667959562460208, "edge_magnetic_mirror_ratio": 0.18485709065973666, "aspect_ratio_over_edge_rotational_transform": 28.573390451443775, "flux_compression_in_regions_of_bad_curvature": 1.0389074739929232, "axis_rotational_transform_over_n_field_periods": 0.1646575204081386, "edge_rotational_transform_over_n_field_periods": 0.08254242546013876, "minimum_normalized_magnetic_gradient_scale_length": 2.268551943113641}

9.434068

28.57339

0.238403

0.10668

0.164658

0.184857

0.082542

1.038907

4.834553

2.268552

0.017445

-0.046403

{"r_cos":[[0.0,0.0,0.0,0.0,0.9997766711358239,-0.005223975679504705,-0.02242540440047369,0.0021487666758964862,0.00024709460007438407],[0.00006453686354262073,-0.00029165040701303315,-0.011899312120014074,-0.03292865281302729,0.15487246793090229,-0.006418898300124751,-0.0050070531717409635,0.00033227206759742114,-0.00041953529155735087],[-0.00042443741325249223,-0.0008908072562520398,0.007828241921888659,0.0019417924800636923,-0.02334939734850272,-0.010314510553338586,-0.002193995401092919,0.00041831901313456896,-0.00027975507412065424],[-0.00012316342747506872,-0.00038939068141891325,-0.0004018051451352763,0.0024866632139139604,-0.0000516281815597494,-0.0017094976576689065,0.0019289906222402407,0.0009003129443497575,-0.00021910080830133143],[0.00006172412003573556,0.00033068994523862045,-0.00031127054894464266,-0.0006676301586162432,-0.0002690211582869022,0.0004995070715315296,-0.0005226210927160359,0.00006950756923098698,-0.0001891471668204705]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.15014643343606254,0.024000344573885196,0.0012620540616127386,0.0008567575101702252],[0.0006819225623652036,0.002795652710742035,-0.00685954540048937,-0.06613759423744989,-0.08023303645062534,0.05496712148333736,-0.000019369529928254907,0.0023661326302817543,-0.00013083633393037343],[-0.00024621641109776645,-0.003374492138006343,0.0027853580590902504,0.009443925857884089,0.009431387089893592,0.001949833812757977,-0.002775572707240542,0.00047387651558885246,0.00003810351419840362],[0.00006320844251546283,0.00010883934131343618,-0.0023347518636786073,0.0055695223161188415,0.0038065490536740502,0.006260039960767962,-0.0018567891344385544,0.0012938334364863246,0.00008206349699409637],[-0.0002696412375477105,-0.000019183416323348953,0.0003317315074732989,-0.0006174369472762793,0.00014309601732556936,0.0002357873983739198,0.00004891001720743157,0.000021665273807650615,-0.00006732669487178006]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9997766711358239, -0.005223975679504705, -0.02242540440047369, 0.0021487666758964862, 0.00024709460007438407 ], [ 0.00006453686354262073, -0.00029165040701303315, -0.011899312120014074, -0.03292865281302729, 0.15487246793090229, -0.006418898300124751, -0.0050070531717409635, 0.00033227206759742114, -0.00041953529155735087 ], [ -0.00042443741325249223, -0.0008908072562520398, 0.007828241921888659, 0.0019417924800636923, -0.02334939734850272, -0.010314510553338586, -0.002193995401092919, 0.00041831901313456896, -0.00027975507412065424 ], [ -0.00012316342747506872, -0.00038939068141891325, -0.0004018051451352763, 0.0024866632139139604, -0.0000516281815597494, -0.0017094976576689065, 0.0019289906222402407, 0.0009003129443497575, -0.00021910080830133143 ], [ 0.00006172412003573556, 0.00033068994523862045, -0.00031127054894464266, -0.0006676301586162432, -0.0002690211582869022, 0.0004995070715315296, -0.0005226210927160359, 0.00006950756923098698, -0.0001891471668204705 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.15014643343606254, 0.024000344573885196, 0.0012620540616127386, 0.0008567575101702252 ], [ 0.0006819225623652036, 0.002795652710742035, -0.00685954540048937, -0.06613759423744989, -0.08023303645062534, 0.05496712148333736, -0.000019369529928254907, 0.0023661326302817543, -0.00013083633393037343 ], [ -0.00024621641109776645, -0.003374492138006343, 0.0027853580590902504, 0.009443925857884089, 0.009431387089893592, 0.001949833812757977, -0.002775572707240542, 0.00047387651558885246, 0.00003810351419840362 ], [ 0.00006320844251546283, 0.00010883934131343618, -0.0023347518636786073, 0.0055695223161188415, 0.0038065490536740502, 0.006260039960767962, -0.0018567891344385544, 0.0012938334364863246, 0.00008206349699409637 ], [ -0.0002696412375477105, -0.000019183416323348953, 0.0003317315074732989, -0.0006174369472762793, 0.00014309601732556936, 0.0002357873983739198, 0.00004891001720743157, 0.000021665273807650615, -0.00006732669487178006 ] ]

DniUmNdcV2zJa4oWLYxhkBJ

{"aspect_ratio": 9.053667103744555, "major_radius": 1.0, "max_elongation": 4.222448532131923, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.012500659356336184, -0.20810807548232804, 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": [[0.9092248404147448, 0.909224892745742, 0.9092260168010979, 0.9092320279669386, 0.9092505955537445, 0.9092937167127925, 0.9093778850605838, 0.909524048727853, 0.9097574084930176, 0.9101070887373431, 0.9106057047463788, 0.9112888445025308, 0.9121944797040386, 0.9133623184604345, 0.9148331105230816, 0.9166479147731824, 0.9188473378683446, 0.9214707523557518, 0.9245555021399844, 0.9281361029106736, 0.9322434449660935, 0.9369040057987325, 0.9421390798293439, 0.9479640327833272, 0.9543875883981547, 0.9614111554374497, 0.9690282033749013, 0.9772236956126713, 0.9859735897330878, 0.9952444150749502, 1.0049929389115553, 1.0151659337337755, 1.0257000596723593, 1.0365218780172032, 1.0475480142303724, 1.0586854919774957, 1.069832263768735, 1.0808779691733923, 1.091704958805729, 1.1021896322330131, 1.1122041520053536, 1.1216186164337236, 1.1303038045048077, 1.1381346546349995, 1.1449947188220706, 1.1507819744076562, 1.155416644454861, 1.1588522506791112, 1.1610925505618315, 1.162221585067177, 1.1624801076978082], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4996145738954614}

9.053667

1

4.222449

[ [ 0.9092248404147448, 0.909224892745742, 0.9092260168010979, 0.9092320279669386, 0.9092505955537445, 0.9092937167127925, 0.9093778850605838, 0.909524048727853, 0.9097574084930176, 0.9101070887373431, 0.9106057047463788, 0.9112888445025308, 0.9121944797040386, 0.9133623184604345, 0.9148331105230816, 0.9166479147731824, 0.9188473378683446, 0.9214707523557518, 0.9245555021399844, 0.9281361029106736, 0.9322434449660935, 0.9369040057987325, 0.9421390798293439, 0.9479640327833272, 0.9543875883981547, 0.9614111554374497, 0.9690282033749013, 0.9772236956126713, 0.9859735897330878, 0.9952444150749502, 1.0049929389115553, 1.0151659337337755, 1.0257000596723593, 1.0365218780172032, 1.0475480142303724, 1.0586854919774957, 1.069832263768735, 1.0808779691733923, 1.091704958805729, 1.1021896322330131, 1.1122041520053536, 1.1216186164337236, 1.1303038045048077, 1.1381346546349995, 1.1449947188220706, 1.1507819744076562, 1.155416644454861, 1.1588522506791112, 1.1610925505618315, 1.162221585067177, 1.1624801076978082 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.012500659356336184, -0.20810807548232804, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.499615

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

DSN44nLVdJXWTfXENA2NuBD

null

false

null

false

DVur7yVntzpavg3yEH4uB2W

DTWxGLze8hTSRFg9DhAjGUC

{"qi": 0.033028917688597545, "vacuum_well": -0.13634031771092847, "aspect_ratio": 10.31380656200283, "max_elongation": 4.460819691038507, "average_triangularity": -0.2676825877759336, "axis_magnetic_mirror_ratio": 0.15141483378079973, "edge_magnetic_mirror_ratio": 0.19220496299777204, "aspect_ratio_over_edge_rotational_transform": 21.690700007406914, "flux_compression_in_regions_of_bad_curvature": 1.1609000923076245, "axis_rotational_transform_over_n_field_periods": 0.14987880846296675, "edge_rotational_transform_over_n_field_periods": 0.1188736020331396, "minimum_normalized_magnetic_gradient_scale_length": 6.200824721688308}

10.313807

21.6907

-0.517438

0.151415

0.149879

0.192205

0.118874

1.1609

4.46082

6.200825

0.033029

-0.13634

{"r_cos":[[0.0,0.0,0.0,0.0,1.0000869221165007,0.05210126858352396,0.0008051931775399022,-0.0004788942060027484,-0.0001504703408461636],[-0.00004728172612068337,-0.001111284537020358,-0.014006751544373953,-0.04239187392947304,0.1048561680342749,-0.000012447451804589033,-0.0037379795140326253,-0.0004111347083473192,0.00006813491185858211],[0.00037921241524457394,0.001096845594122358,-0.0016014086202636082,-0.0014692584496106519,-0.006762657197257054,0.012706547700543126,-0.007050148209644454,0.0006808810145874176,0.0001288003781132954],[0.00014765822097741703,0.0011094994509882167,0.0003232275197628748,-0.001455795201645537,0.004260785825544735,-0.0005197921238922754,-0.0001899523878737524,-0.0001041791515711618,0.0000694058291674004],[-0.00009818270117012697,-0.00042803141691344127,-0.0006396855469412925,0.00040816424501015754,0.0001466751976179708,-0.00018512852967107453,-0.00011784656681735348,0.00022053062779836134,-0.00008204716060806699]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.05391503187389312,-0.0012987738039160306,0.002425096301279836,0.00009783803624241125],[-0.00021385355346735004,-0.0014452843435774495,-0.011009193407107303,-0.0725752527274504,-0.1300599577249301,0.03168864714778977,-0.005506002479796604,0.0015898557361237523,0.0000849566062060434],[0.0000887994453084846,0.0014266881331542487,0.005551752829111136,0.013499138185333114,-0.03435669666456048,0.0173767010372146,0.00005079756034899723,-0.00036687929602599904,-0.00002878338253074224],[-0.00013882693841327522,0.00007011727996895089,0.0020327556586665937,-0.0035559142039157943,-0.010091534656871915,0.007094026149548944,-0.00148222533128249,0.000045253817004472534,-0.00006484848905572327],[-0.00007998154500364945,-0.0006483685742917208,-0.0004015794146958996,-0.0017878629213859659,0.00004547548512773031,0.0008308265027520236,-0.00037114390941262127,-0.000056146457395506914,0.00009314997269497194]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1.0000869221165007, 0.05210126858352396, 0.0008051931775399022, -0.0004788942060027484, -0.0001504703408461636 ], [ -0.00004728172612068337, -0.001111284537020358, -0.014006751544373953, -0.04239187392947304, 0.1048561680342749, -0.000012447451804589033, -0.0037379795140326253, -0.0004111347083473192, 0.00006813491185858211 ], [ 0.00037921241524457394, 0.001096845594122358, -0.0016014086202636082, -0.0014692584496106519, -0.006762657197257054, 0.012706547700543126, -0.007050148209644454, 0.0006808810145874176, 0.0001288003781132954 ], [ 0.00014765822097741703, 0.0011094994509882167, 0.0003232275197628748, -0.001455795201645537, 0.004260785825544735, -0.0005197921238922754, -0.0001899523878737524, -0.0001041791515711618, 0.0000694058291674004 ], [ -0.00009818270117012697, -0.00042803141691344127, -0.0006396855469412925, 0.00040816424501015754, 0.0001466751976179708, -0.00018512852967107453, -0.00011784656681735348, 0.00022053062779836134, -0.00008204716060806699 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.05391503187389312, -0.0012987738039160306, 0.002425096301279836, 0.00009783803624241125 ], [ -0.00021385355346735004, -0.0014452843435774495, -0.011009193407107303, -0.0725752527274504, -0.1300599577249301, 0.03168864714778977, -0.005506002479796604, 0.0015898557361237523, 0.0000849566062060434 ], [ 0.0000887994453084846, 0.0014266881331542487, 0.005551752829111136, 0.013499138185333114, -0.03435669666456048, 0.0173767010372146, 0.00005079756034899723, -0.00036687929602599904, -0.00002878338253074224 ], [ -0.00013882693841327522, 0.00007011727996895089, 0.0020327556586665937, -0.0035559142039157943, -0.010091534656871915, 0.007094026149548944, -0.00148222533128249, 0.000045253817004472534, -0.00006484848905572327 ], [ -0.00007998154500364945, -0.0006483685742917208, -0.0004015794146958996, -0.0017878629213859659, 0.00004547548512773031, 0.0008308265027520236, -0.00037114390941262127, -0.000056146457395506914, 0.00009314997269497194 ] ]

DWdYayTXtRxsrgQfCoFRsTH

{"aspect_ratio": 11.44734410136032, "major_radius": 1.0, "max_elongation": 4.203063485556067, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.08651980868938931, -0.324284465079378, 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": [[0.9099794860244899, 0.9099794875118346, 0.9099795616544595, 0.90998022661767, 0.9099831790924584, 0.9099922052157404, 0.9100141388868508, 0.9100597762123382, 0.9101446780674627, 0.9102898094181018, 0.9105219772406389, 0.9108740399267811, 0.9113848706372356, 0.9120990655585569, 0.9130663956610081, 0.9143410075096442, 0.9159803850539024, 0.9180440901887135, 0.920592305296704, 0.9236842059852426, 0.9273761968511294, 0.9317200473579409, 0.9367609688072582, 0.9425356769296354, 0.9490704878126435, 0.9563794977142209, 0.9644628997663424, 0.9733054926365101, 0.9828754378548993, 0.9931233236962069, 1.0039815941792196, 1.0153644018515118, 1.0271679424810154, 1.0392713284756963, 1.051538055660046, 1.0638181147703443, 1.075950794444345, 1.087768216238719, 1.09909963383799, 1.1097765174455467, 1.119638429372236, 1.1285396765378912, 1.13635669756103, 1.1429961023243798, 1.1484032233434411, 1.1525709477574875, 1.1555484494079593, 1.157449170855704, 1.158456851501456, 1.1588270043869342, 1.1588759263804294], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6408781035665108}

11.447344

1

4.203063

[ [ 0.9099794860244899, 0.9099794875118346, 0.9099795616544595, 0.90998022661767, 0.9099831790924584, 0.9099922052157404, 0.9100141388868508, 0.9100597762123382, 0.9101446780674627, 0.9102898094181018, 0.9105219772406389, 0.9108740399267811, 0.9113848706372356, 0.9120990655585569, 0.9130663956610081, 0.9143410075096442, 0.9159803850539024, 0.9180440901887135, 0.920592305296704, 0.9236842059852426, 0.9273761968511294, 0.9317200473579409, 0.9367609688072582, 0.9425356769296354, 0.9490704878126435, 0.9563794977142209, 0.9644628997663424, 0.9733054926365101, 0.9828754378548993, 0.9931233236962069, 1.0039815941792196, 1.0153644018515118, 1.0271679424810154, 1.0392713284756963, 1.051538055660046, 1.0638181147703443, 1.075950794444345, 1.087768216238719, 1.09909963383799, 1.1097765174455467, 1.119638429372236, 1.1285396765378912, 1.13635669756103, 1.1429961023243798, 1.1484032233434411, 1.1525709477574875, 1.1555484494079593, 1.157449170855704, 1.158456851501456, 1.1588270043869342, 1.1588759263804294 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.08651980868938931, -0.324284465079378, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.640878

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

DY66pFovq8db2Zjos35ifSF

null

false

null

false

D6TSweUZgsMxkg9Bgb9JmLp

DjAoX2ADBCtEBfu72Tv4Eav

{"qi": 0.001443654940917653, "vacuum_well": -0.11764454402528844, "aspect_ratio": 9.6853704290479, "max_elongation": 6.921595537204404, "average_triangularity": -0.13784542973759117, "axis_magnetic_mirror_ratio": 0.3403111517320959, "edge_magnetic_mirror_ratio": 0.35866289768866233, "aspect_ratio_over_edge_rotational_transform": 15.60211388021803, "flux_compression_in_regions_of_bad_curvature": 1.0446406219928435, "axis_rotational_transform_over_n_field_periods": 0.14480656272167178, "edge_rotational_transform_over_n_field_periods": 0.12415459217135971, "minimum_normalized_magnetic_gradient_scale_length": 9.310135297707658}

9.68537

15.602114

-0.265405

0.340311

0.144807

0.358663

0.124155

1.044641

6.921596

9.310135

0.001444

-0.117645

{"r_cos":[[0.0,0.0,0.0,0.0,0.998423351366583,0.018819500808671303,-0.011172243396673056,-0.0006107658707937973,0.00037032416627607277],[0.00012057238722393821,0.0026129145708811813,-0.006241657762872653,-0.049996468030434824,0.09949986088011079,-0.0021603433379365627,-0.010051478849561637,-0.000238199085465345,0.00022621310061875685],[0.00009013329917973799,0.0002996915112399803,0.006164104227287618,0.009697217683924909,-0.008340627289984614,0.005537352839065446,-0.004397121186882992,0.0013272000387829124,-0.00006704470115159097],[-0.00017207133183301225,0.0002556753746510363,0.0015502350079615965,0.00008520433194305862,0.0007483445692409641,-0.000983244747101725,0.0002063110519012715,0.00007408515550836632,-0.000030157919991576602],[0.00011945401667022439,-0.00006178319748336255,-0.0007791726534528459,-0.0005029281529545591,0.00010414135891282685,0.000047861426883652106,-0.00005835828101814983,-0.000028296796779758466,0.000010760527892795285]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04169646910388879,0.003994589167700694,0.00032625756891876707,-0.0002226847663697271],[0.00038623250829554213,0.001093408290294398,-0.0033306783380751275,-0.07025780445193959,-0.15620177766600732,0.03113394273661314,-0.002666828382701354,0.0002521328528445068,-1.8724777908814966e-6],[0.0004722449821167777,0.0019479266176989725,0.006751771444389833,0.014013805876273228,-0.039355354903060885,0.015745557769987345,-0.0003863307979629464,-0.0001518975886792178,-0.000017756647517014817],[-0.00004256839778708515,0.0004967673787789008,0.0028300742471420973,0.005948959919645861,-0.005127281296789372,0.0035254897254085784,-0.0008964184176916608,0.000129179372168501,-6.303023497896121e-6],[0.000024571116091984908,-0.00006223710774000326,-0.0003609345549234979,0.000024339598043102316,0.0006161458681318184,0.00010817378836489327,-0.0000675852637131835,0.00006301731486762691,-5.501596131072903e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.998423351366583, 0.018819500808671303, -0.011172243396673056, -0.0006107658707937973, 0.00037032416627607277 ], [ 0.00012057238722393821, 0.0026129145708811813, -0.006241657762872653, -0.049996468030434824, 0.09949986088011079, -0.0021603433379365627, -0.010051478849561637, -0.000238199085465345, 0.00022621310061875685 ], [ 0.00009013329917973799, 0.0002996915112399803, 0.006164104227287618, 0.009697217683924909, -0.008340627289984614, 0.005537352839065446, -0.004397121186882992, 0.0013272000387829124, -0.00006704470115159097 ], [ -0.00017207133183301225, 0.0002556753746510363, 0.0015502350079615965, 0.00008520433194305862, 0.0007483445692409641, -0.000983244747101725, 0.0002063110519012715, 0.00007408515550836632, -0.000030157919991576602 ], [ 0.00011945401667022439, -0.00006178319748336255, -0.0007791726534528459, -0.0005029281529545591, 0.00010414135891282685, 0.000047861426883652106, -0.00005835828101814983, -0.000028296796779758466, 0.000010760527892795285 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04169646910388879, 0.003994589167700694, 0.00032625756891876707, -0.0002226847663697271 ], [ 0.00038623250829554213, 0.001093408290294398, -0.0033306783380751275, -0.07025780445193959, -0.15620177766600732, 0.03113394273661314, -0.002666828382701354, 0.0002521328528445068, -0.0000018724777908814966 ], [ 0.0004722449821167777, 0.0019479266176989725, 0.006751771444389833, 0.014013805876273228, -0.039355354903060885, 0.015745557769987345, -0.0003863307979629464, -0.0001518975886792178, -0.000017756647517014817 ], [ -0.00004256839778708515, 0.0004967673787789008, 0.0028300742471420973, 0.005948959919645861, -0.005127281296789372, 0.0035254897254085784, -0.0008964184176916608, 0.000129179372168501, -0.000006303023497896121 ], [ 0.000024571116091984908, -0.00006223710774000326, -0.0003609345549234979, 0.000024339598043102316, 0.0006161458681318184, 0.00010817378836489327, -0.0000675852637131835, 0.00006301731486762691, -0.000005501596131072903 ] ]

D8rnjaJ9JWBhadA6RyfPtkn

{"aspect_ratio": 10.988563463678297, "major_radius": 1.0, "max_elongation": 6.281528240768312, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.09755577868348654, 0.3571980512154904, 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": [[0.7489653631437769, 0.74896536967879, 0.7489656485075581, 0.7489679268274639, 0.7489774145382713, 0.7490050784136332, 0.7490698849524253, 0.7492008481621458, 0.7494387712895374, 0.7498376039443096, 0.7504653590125191, 0.7514045514109956, 0.7527521350994977, 0.7546189269398748, 0.7571285166284388, 0.7604156714507898, 0.7646242533038309, 0.7699046735014551, 0.7764109184798446, 0.7842971867626863, 0.7937141845303262, 0.8048051339393295, 0.8177015550297796, 0.8325188887009873, 0.8493520348938315, 0.8682708868519838, 0.8893159492105258, 0.9124941347511302, 0.9377748420503256, 0.965086424028145, 0.9943131656956588, 1.0252928983465424, 1.05781538722374, 1.091621640555398, 1.1264043001089854, 1.1618092874829782, 1.1974388968261371, 1.2328565443694313, 1.2675934092665218, 1.3011572305363912, 1.3330435641015743, 1.3627498563322318, 1.3897927632850349, 1.4137292503885708, 1.4341821685702791, 1.4508712650879096, 1.4636510489592913, 1.4725578322783597, 1.4778703051047128, 1.4801937900307722, 1.4806052594152654], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7075169199009302}

10.988563

1

6.281528

[ [ 0.7489653631437769, 0.74896536967879, 0.7489656485075581, 0.7489679268274639, 0.7489774145382713, 0.7490050784136332, 0.7490698849524253, 0.7492008481621458, 0.7494387712895374, 0.7498376039443096, 0.7504653590125191, 0.7514045514109956, 0.7527521350994977, 0.7546189269398748, 0.7571285166284388, 0.7604156714507898, 0.7646242533038309, 0.7699046735014551, 0.7764109184798446, 0.7842971867626863, 0.7937141845303262, 0.8048051339393295, 0.8177015550297796, 0.8325188887009873, 0.8493520348938315, 0.8682708868519838, 0.8893159492105258, 0.9124941347511302, 0.9377748420503256, 0.965086424028145, 0.9943131656956588, 1.0252928983465424, 1.05781538722374, 1.091621640555398, 1.1264043001089854, 1.1618092874829782, 1.1974388968261371, 1.2328565443694313, 1.2675934092665218, 1.3011572305363912, 1.3330435641015743, 1.3627498563322318, 1.3897927632850349, 1.4137292503885708, 1.4341821685702791, 1.4508712650879096, 1.4636510489592913, 1.4725578322783597, 1.4778703051047128, 1.4801937900307722, 1.4806052594152654 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.09755577868348654, 0.3571980512154904, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.707517

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

De8buiXoyoTcWUmTVkCnvPZ

null

false

null

false

DNy7XK5CnYg93oJqEmfeAMR

DcdoGYDZaGAdHWRVnM9NF5C

{"qi": 0.0012038463184547857, "vacuum_well": -0.10527867143005579, "aspect_ratio": 9.799408767610306, "max_elongation": 6.165022714950696, "average_triangularity": -0.4088105308194677, "axis_magnetic_mirror_ratio": 0.28399091459093345, "edge_magnetic_mirror_ratio": 0.3206017807861153, "aspect_ratio_over_edge_rotational_transform": 21.897046472143543, "flux_compression_in_regions_of_bad_curvature": 1.6911513611748825, "axis_rotational_transform_over_n_field_periods": 0.2142962614504386, "edge_rotational_transform_over_n_field_periods": 0.22376097114459434, "minimum_normalized_magnetic_gradient_scale_length": 6.774110185814593}

9.799409

21.897046

-0.61742

0.283991

0.214296

0.320602

0.223761

1.691151

6.165023

6.77411

0.001204

-0.105279

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.04116928906804263,-0.04885613936671473,0.0038519694707182268,0.00034028915783857047],[-0.0010724694726121703,-0.005238054666727984,0.046297587857052395,-0.043441665904777035,0.08333903733316521,-0.030466140678255593,-0.014318287027457029,0.00016670597869462758,-0.00016485513558068263],[0.0012582360608728899,0.000042449809118632297,-0.012039712722551731,0.014212891818668723,-0.009425513814686986,0.009541040464959434,-0.006260161733413472,0.0015272307031944732,-0.0003772564854437772],[-0.0001402283358698813,-0.000794492859347704,0.0028838411022275574,-0.00277463521295466,0.0020090963800620887,-0.00021073335946346166,-0.0015158355602172117,0.00010298431616810155,-0.0002322417483279239],[8.723702230419516e-6,0.00038942765255268417,-0.0005938989221267425,0.00009606840719133568,-0.0003684793957001546,0.0005034347646053431,-0.0005667031230677961,0.00008073556299051463,-0.00007045314396296085]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12370756931177376,0.03154125569586369,-0.004973943026922756,-0.0000829095935130069],[0.00014568306574022855,-0.007401878774484009,0.04755820320087516,-0.0603107723274299,-0.19548923701975932,0.015142184223934985,-0.0027247811905517783,-0.002785685326272871,-0.0004931566347349523],[0.000468046399681188,0.0017125273837943428,-0.019666676280095448,0.020574836578680852,-0.014803987970159237,-0.004574304139829618,0.005484707047152849,-0.0019309386372115584,0.00040668796002510816],[0.00019692856085303407,-0.0010632565608577442,0.001760786502726929,0.005131952446258969,-0.0099661020606351,-0.0013388077552730763,0.0003439695004722578,-0.00031459725795820136,0.00020372360491852424],[0.000016359771064472116,0.00007826929623353222,-0.000405778431924337,0.00003862730649310491,-0.0002816814176377228,-0.0004815278301589801,0.000965015293244291,-0.0000425704121905531,0.00018042775647118228]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.04116928906804263, -0.04885613936671473, 0.0038519694707182268, 0.00034028915783857047 ], [ -0.0010724694726121703, -0.005238054666727984, 0.046297587857052395, -0.043441665904777035, 0.08333903733316521, -0.030466140678255593, -0.014318287027457029, 0.00016670597869462758, -0.00016485513558068263 ], [ 0.0012582360608728899, 0.000042449809118632297, -0.012039712722551731, 0.014212891818668723, -0.009425513814686986, 0.009541040464959434, -0.006260161733413472, 0.0015272307031944732, -0.0003772564854437772 ], [ -0.0001402283358698813, -0.000794492859347704, 0.0028838411022275574, -0.00277463521295466, 0.0020090963800620887, -0.00021073335946346166, -0.0015158355602172117, 0.00010298431616810155, -0.0002322417483279239 ], [ 0.000008723702230419516, 0.00038942765255268417, -0.0005938989221267425, 0.00009606840719133568, -0.0003684793957001546, 0.0005034347646053431, -0.0005667031230677961, 0.00008073556299051463, -0.00007045314396296085 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12370756931177376, 0.03154125569586369, -0.004973943026922756, -0.0000829095935130069 ], [ 0.00014568306574022855, -0.007401878774484009, 0.04755820320087516, -0.0603107723274299, -0.19548923701975932, 0.015142184223934985, -0.0027247811905517783, -0.002785685326272871, -0.0004931566347349523 ], [ 0.000468046399681188, 0.0017125273837943428, -0.019666676280095448, 0.020574836578680852, -0.014803987970159237, -0.004574304139829618, 0.005484707047152849, -0.0019309386372115584, 0.00040668796002510816 ], [ 0.00019692856085303407, -0.0010632565608577442, 0.001760786502726929, 0.005131952446258969, -0.0099661020606351, -0.0013388077552730763, 0.0003439695004722578, -0.00031459725795820136, 0.00020372360491852424 ], [ 0.000016359771064472116, 0.00007826929623353222, -0.000405778431924337, 0.00003862730649310491, -0.0002816814176377228, -0.0004815278301589801, 0.000965015293244291, -0.0000425704121905531, 0.00018042775647118228 ] ]

DdnT47ggkNnMpBK9GvgVnxS

{"aspect_ratio": 11.690394343754285, "major_radius": 1.0, "max_elongation": 5.92533835307003, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.19679465896712406, 0.190111007432365, 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": [[0.7325413699272727, 0.7325413791522088, 0.7325418678837993, 0.7325463664891235, 0.7325665283691869, 0.7326281414727225, 0.7327768434348212, 0.733082718954431, 0.7336432561455958, 0.7345843688022, 0.7360593750023324, 0.738245969661488, 0.7413413457593124, 0.7455557102445769, 0.7511045092069971, 0.7581997252807978, 0.7670406404888065, 0.7778044716480211, 0.7906372846504282, 0.8056455798870534, 0.8228889151869796, 0.8423738962201209, 0.8640498186437481, 0.8878061926128137, 0.913472319865862, 0.9408190276849302, 0.9695625938646044, 0.9993708236906749, 1.029871165135929, 1.0606606733902106, 1.0913175618760949, 1.1214140055605497, 1.1505297952547522, 1.1782663804187998, 1.2042607846287596, 1.2281988343865564, 1.2498271106709629, 1.2689630161704226, 1.285502352552632, 1.2994238250174002, 1.310789940119995, 1.3197438428939325, 1.3265017576712421, 1.331340863106336, 1.3345826589567629, 1.3365721897304617, 1.3376539094494047, 1.3381455563608475, 1.3383122614166298, 1.3383444824340753, 1.3383459925663306], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4598680261954945}

11.690394

1

5.925338

[ [ 0.7325413699272727, 0.7325413791522088, 0.7325418678837993, 0.7325463664891235, 0.7325665283691869, 0.7326281414727225, 0.7327768434348212, 0.733082718954431, 0.7336432561455958, 0.7345843688022, 0.7360593750023324, 0.738245969661488, 0.7413413457593124, 0.7455557102445769, 0.7511045092069971, 0.7581997252807978, 0.7670406404888065, 0.7778044716480211, 0.7906372846504282, 0.8056455798870534, 0.8228889151869796, 0.8423738962201209, 0.8640498186437481, 0.8878061926128137, 0.913472319865862, 0.9408190276849302, 0.9695625938646044, 0.9993708236906749, 1.029871165135929, 1.0606606733902106, 1.0913175618760949, 1.1214140055605497, 1.1505297952547522, 1.1782663804187998, 1.2042607846287596, 1.2281988343865564, 1.2498271106709629, 1.2689630161704226, 1.285502352552632, 1.2994238250174002, 1.310789940119995, 1.3197438428939325, 1.3265017576712421, 1.331340863106336, 1.3345826589567629, 1.3365721897304617, 1.3376539094494047, 1.3381455563608475, 1.3383122614166298, 1.3383444824340753, 1.3383459925663306 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.19679465896712406, 0.190111007432365, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.459868

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

DirKdo89qNqqGqYDLsbzkjH

null

false

null

false

De4YvDKTGH7kwvNE6yi78dU

DVCMe2kcEaZrKRx9QDRaj3P

{"qi": 0.0018567905517100779, "vacuum_well": -0.11632102447451716, "aspect_ratio": 9.721176065684668, "max_elongation": 6.284165598755706, "average_triangularity": -0.10460909244367422, "axis_magnetic_mirror_ratio": 0.30786399194825775, "edge_magnetic_mirror_ratio": 0.3332548233594765, "aspect_ratio_over_edge_rotational_transform": 13.618671127253076, "flux_compression_in_regions_of_bad_curvature": 1.5785988271221314, "axis_rotational_transform_over_n_field_periods": 0.18085738448826968, "edge_rotational_transform_over_n_field_periods": 0.17845309529193132, "minimum_normalized_magnetic_gradient_scale_length": 8.781236538449527}

9.721176

13.618671

-0.128985

0.307864

0.180857

0.333255

0.178453

1.578599

6.284166

8.781237

0.001857

-0.116321

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.006215832487294448,-0.008202521512938904,-0.00021170117705687078,8.531024210349859e-6],[0.0006847159513834513,-0.0028045749662685138,-0.0015465030724573744,-0.08133878582065465,0.09116823834822153,0.02682600441543618,-0.000036257007502286595,-0.0002654756180329198,-0.00025896086454923627],[-0.0003811105696934851,-0.0008058577471516461,0.001490506254284021,0.01853330990350434,-0.01459416205294245,0.009769851718685971,0.000981015291992905,0.0007994486255912615,-0.00014811698165421012],[-0.00009586371702896336,0.0010185421887061123,0.002586854702362258,-0.005623374158438298,0.004019472637425266,0.001733583902979702,-0.0005072589009894126,0.00033123230468256806,-0.00007875932412012799],[-0.000012843783560515881,0.00011498539100920392,-0.0009064304170700557,0.00028750591334707025,-0.00004510978069331576,0.000019271661536594126,0.00014359373892658178,0.00014070657035403743,-3.716767322505547e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07465943474502529,0.004132827483666373,0.0003542349433093149,0.00029890990332637543],[0.00031988217923231135,-0.0033719880196708294,0.009761009029126133,-0.045090378609912704,-0.17468306208445822,0.004053495668603777,0.0010004134625648505,0.0006651457968301052,0.0005061444863417365],[0.00009986503030922408,0.00029616294865130594,-0.009220758917517023,0.031089411250119103,-0.02174141076665378,-0.01370223299147314,-0.0013515526016415359,0.000377449374452997,0.0002761763322817251],[-0.00022595921364759823,-0.00007943178617659048,0.0008480114393839711,0.005390703394440115,-0.005009306435277438,-0.0011427501192137592,-0.0014726533080754692,-0.00022706397802479798,0.0002449745840110337],[-0.00016635389242108104,0.00006873424784784116,-0.0006197882006063226,-0.00032598901009994985,0.0010702239731198951,-0.0009015902516839164,-0.0004018509636204599,-0.00011157549233263922,0.000027051079827401073]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.006215832487294448, -0.008202521512938904, -0.00021170117705687078, 0.000008531024210349859 ], [ 0.0006847159513834513, -0.0028045749662685138, -0.0015465030724573744, -0.08133878582065465, 0.09116823834822153, 0.02682600441543618, -0.000036257007502286595, -0.0002654756180329198, -0.00025896086454923627 ], [ -0.0003811105696934851, -0.0008058577471516461, 0.001490506254284021, 0.01853330990350434, -0.01459416205294245, 0.009769851718685971, 0.000981015291992905, 0.0007994486255912615, -0.00014811698165421012 ], [ -0.00009586371702896336, 0.0010185421887061123, 0.002586854702362258, -0.005623374158438298, 0.004019472637425266, 0.001733583902979702, -0.0005072589009894126, 0.00033123230468256806, -0.00007875932412012799 ], [ -0.000012843783560515881, 0.00011498539100920392, -0.0009064304170700557, 0.00028750591334707025, -0.00004510978069331576, 0.000019271661536594126, 0.00014359373892658178, 0.00014070657035403743, -0.000003716767322505547 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07465943474502529, 0.004132827483666373, 0.0003542349433093149, 0.00029890990332637543 ], [ 0.00031988217923231135, -0.0033719880196708294, 0.009761009029126133, -0.045090378609912704, -0.17468306208445822, 0.004053495668603777, 0.0010004134625648505, 0.0006651457968301052, 0.0005061444863417365 ], [ 0.00009986503030922408, 0.00029616294865130594, -0.009220758917517023, 0.031089411250119103, -0.02174141076665378, -0.01370223299147314, -0.0013515526016415359, 0.000377449374452997, 0.0002761763322817251 ], [ -0.00022595921364759823, -0.00007943178617659048, 0.0008480114393839711, 0.005390703394440115, -0.005009306435277438, -0.0011427501192137592, -0.0014726533080754692, -0.00022706397802479798, 0.0002449745840110337 ], [ -0.00016635389242108104, 0.00006873424784784116, -0.0006197882006063226, -0.00032598901009994985, 0.0010702239731198951, -0.0009015902516839164, -0.0004018509636204599, -0.00011157549233263922, 0.000027051079827401073 ] ]

DYipj6bgAA4GffgG8wp8VsL

{"aspect_ratio": 11.067646751928253, "major_radius": 1.0, "max_elongation": 6.021742552938386, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0256329554593866, 0.02049481663360509, 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": [[0.74822614093076, 0.748226151251231, 0.7482265988802123, 0.7482302735805776, 0.7482455606128403, 0.7482899393810756, 0.7483932189462944, 0.748600218927692, 0.7489727184107401, 0.7495905688340965, 0.7505519197715856, 0.7519725472078953, 0.753984306356358, 0.7567327575429779, 0.7603740355609798, 0.7650710510781339, 0.7709891277601955, 0.7782911911809711, 0.7871326356241716, 0.79765600276085, 0.809985612063319, 0.824222286799045, 0.840438321605202, 0.8586728380133581, 0.8789276728826488, 0.9011639414903025, 0.9252994119751617, 0.9512068208591562, 0.9787132503783764, 1.0076006771980983, 1.0376077885801027, 1.068433145977818, 1.0997397570496004, 1.13116109480987, 1.1623085765733523, 1.192780484824558, 1.2221722762825196, 1.2500881830442898, 1.2761539591526763, 1.300030564958983, 1.3214285069442702, 1.3401224573191761, 1.3559656581754498, 1.3689034570172791, 1.378985103452945, 1.3863726232005473, 1.391345101814049, 1.3942958962575074, 1.3957187424902404, 1.3961751605676747, 1.3962236636427905], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6967007410946644}

11.067647

1

6.021743

[ [ 0.74822614093076, 0.748226151251231, 0.7482265988802123, 0.7482302735805776, 0.7482455606128403, 0.7482899393810756, 0.7483932189462944, 0.748600218927692, 0.7489727184107401, 0.7495905688340965, 0.7505519197715856, 0.7519725472078953, 0.753984306356358, 0.7567327575429779, 0.7603740355609798, 0.7650710510781339, 0.7709891277601955, 0.7782911911809711, 0.7871326356241716, 0.79765600276085, 0.809985612063319, 0.824222286799045, 0.840438321605202, 0.8586728380133581, 0.8789276728826488, 0.9011639414903025, 0.9252994119751617, 0.9512068208591562, 0.9787132503783764, 1.0076006771980983, 1.0376077885801027, 1.068433145977818, 1.0997397570496004, 1.13116109480987, 1.1623085765733523, 1.192780484824558, 1.2221722762825196, 1.2500881830442898, 1.2761539591526763, 1.300030564958983, 1.3214285069442702, 1.3401224573191761, 1.3559656581754498, 1.3689034570172791, 1.378985103452945, 1.3863726232005473, 1.391345101814049, 1.3942958962575074, 1.3957187424902404, 1.3961751605676747, 1.3962236636427905 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0256329554593866, 0.02049481663360509, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.696701

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

DdrsAeDpct49vVumgm78WfG

null

false

null

false

DSu4rgqKDMbFZgCRGRZfXXp

DEviPXugsfTz7d3CteQvWjk

{"qi": 0.0016596349223947425, "vacuum_well": -0.054766464529706, "aspect_ratio": 9.136566934194402, "max_elongation": 6.040943871371534, "average_triangularity": -0.2882607631746356, "axis_magnetic_mirror_ratio": 0.26173114727974567, "edge_magnetic_mirror_ratio": 0.29942675237875144, "aspect_ratio_over_edge_rotational_transform": 61.55885184506562, "flux_compression_in_regions_of_bad_curvature": 1.2181600886139012, "axis_rotational_transform_over_n_field_periods": 0.11199114523599671, "edge_rotational_transform_over_n_field_periods": 0.0742100174089485, "minimum_normalized_magnetic_gradient_scale_length": 2.7426454094811077}

9.136567

61.558852

-0.418266

0.261731

0.111991

0.299427

0.07421

1.21816

6.040944

2.742645

0.00166

-0.054766

{"r_cos":[[0.0,0.0,0.0,0.0,0.9928848492935181,-0.07698939718297487,-0.04299846408722403,0.008248694212653215,-0.0007975676184720026],[-0.0006317279160564167,-0.005843998162592636,-0.0051572031881082165,-0.043203672122787015,0.1331464520183216,0.003216943793181909,0.005727920243100998,0.00215547667799259,0.0002865286112930669],[0.0003339941889481847,-0.0005938423002954119,-0.014221846620282808,0.009926258854057752,-0.04530371227576115,-0.0024736728610463684,-0.0034104622685295427,0.0005845531212128619,0.00007100026334197254],[0.00017268186274380174,-0.0012921718007559673,0.0017419623072617793,-0.0018723358913431396,0.0070290540311486426,-0.0006858115522496369,0.0008382414134952604,0.00004095600719555576,-0.00005970919798017014],[-0.00008965123227807225,0.00008984914272162242,-0.00031755213290405855,0.00016611915119679396,-0.0002009580295306238,-0.0001472442560436528,0.000023515115331098425,-0.00037329051503556007,0.00002990010636027152]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.23578094985063638,0.027225219571933988,-0.00475881948256994,0.0003196533195642444],[0.0035296722196156917,0.0030624007503562327,0.020438667700837007,-0.09449933139865976,-0.1067439133960589,0.07723086526963502,0.0013010068676032605,0.003038709501521396,-0.000150184665474611],[0.00031468762499517954,0.005730792761216307,-0.011401371817691968,0.014940525966880263,0.023072553554222237,-0.029393884933220597,-0.0028368268727201034,-0.0035268755196205676,0.0007172654833293501],[0.0009242432793820448,-0.0001125320130966223,-0.00010609238536410896,-0.005453757427108527,0.0031980442092138708,0.0035362886334757947,0.0004241336398172635,0.0006791109824127112,0.00011997691792760295],[0.000014065360245831397,0.0000967828876732067,0.00020299598021122282,0.0004740778635641338,-0.000479525380130815,-0.00027532365673244816,0.0001038841503157716,0.00017031827496098706,-0.00022331557750547158]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9928848492935181, -0.07698939718297487, -0.04299846408722403, 0.008248694212653215, -0.0007975676184720026 ], [ -0.0006317279160564167, -0.005843998162592636, -0.0051572031881082165, -0.043203672122787015, 0.1331464520183216, 0.003216943793181909, 0.005727920243100998, 0.00215547667799259, 0.0002865286112930669 ], [ 0.0003339941889481847, -0.0005938423002954119, -0.014221846620282808, 0.009926258854057752, -0.04530371227576115, -0.0024736728610463684, -0.0034104622685295427, 0.0005845531212128619, 0.00007100026334197254 ], [ 0.00017268186274380174, -0.0012921718007559673, 0.0017419623072617793, -0.0018723358913431396, 0.0070290540311486426, -0.0006858115522496369, 0.0008382414134952604, 0.00004095600719555576, -0.00005970919798017014 ], [ -0.00008965123227807225, 0.00008984914272162242, -0.00031755213290405855, 0.00016611915119679396, -0.0002009580295306238, -0.0001472442560436528, 0.000023515115331098425, -0.00037329051503556007, 0.00002990010636027152 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.23578094985063638, 0.027225219571933988, -0.00475881948256994, 0.0003196533195642444 ], [ 0.0035296722196156917, 0.0030624007503562327, 0.020438667700837007, -0.09449933139865976, -0.1067439133960589, 0.07723086526963502, 0.0013010068676032605, 0.003038709501521396, -0.000150184665474611 ], [ 0.00031468762499517954, 0.005730792761216307, -0.011401371817691968, 0.014940525966880263, 0.023072553554222237, -0.029393884933220597, -0.0028368268727201034, -0.0035268755196205676, 0.0007172654833293501 ], [ 0.0009242432793820448, -0.0001125320130966223, -0.00010609238536410896, -0.005453757427108527, 0.0031980442092138708, 0.0035362886334757947, 0.0004241336398172635, 0.0006791109824127112, 0.00011997691792760295 ], [ 0.000014065360245831397, 0.0000967828876732067, 0.00020299598021122282, 0.0004740778635641338, -0.000479525380130815, -0.00027532365673244816, 0.0001038841503157716, 0.00017031827496098706, -0.00022331557750547158 ] ]

DH68G9LnqEy4v3MEom4smfC

{"aspect_ratio": 8.87652917265926, "major_radius": 1.0, "max_elongation": 5.650850901205199, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2603277355928491, -0.025213650452974752, 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": [[0.8011986762969673, 0.8011988061417342, 0.8012014309574026, 0.8012149708430105, 0.8012558010610681, 0.8013490037991062, 0.801528583913361, 0.801837329496276, 0.8023264083311841, 0.8030547562320998, 0.8040882957615032, 0.805499013835399, 0.8073639205205813, 0.8097639072386705, 0.8127825197812555, 0.8165046595557659, 0.8210152250583306, 0.8263977045467905, 0.8327327301626252, 0.8400966032593835, 0.8485598003950844, 0.858185469310485, 0.8690279242290075, 0.8811311499712067, 0.8945273246782967, 0.909235371393928, 0.9252595493771263, 0.942588096836624, 0.961191937822713, 0.9810234673355348, 1.002015430374462, 1.0240799127521776, 1.0471074641534184, 1.0709663773046756, 1.0955021514807932, 1.1205371742559813, 1.1458706629198872, 1.1712789170851172, 1.1965159478771041, 1.2213145685586522, 1.2453880594943132, 1.2684325620703902, 1.2901304205148272, 1.310154794206814, 1.3281760391840445, 1.343870677318126, 1.3569344037592466, 1.3671019840910472, 1.3741805502730882, 1.3781152672754131, 1.379186196907897], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.22948837031615207}

8.876529

1

5.650851

[ [ 0.8011986762969673, 0.8011988061417342, 0.8012014309574026, 0.8012149708430105, 0.8012558010610681, 0.8013490037991062, 0.801528583913361, 0.801837329496276, 0.8023264083311841, 0.8030547562320998, 0.8040882957615032, 0.805499013835399, 0.8073639205205813, 0.8097639072386705, 0.8127825197812555, 0.8165046595557659, 0.8210152250583306, 0.8263977045467905, 0.8327327301626252, 0.8400966032593835, 0.8485598003950844, 0.858185469310485, 0.8690279242290075, 0.8811311499712067, 0.8945273246782967, 0.909235371393928, 0.9252595493771263, 0.942588096836624, 0.961191937822713, 0.9810234673355348, 1.002015430374462, 1.0240799127521776, 1.0471074641534184, 1.0709663773046756, 1.0955021514807932, 1.1205371742559813, 1.1458706629198872, 1.1712789170851172, 1.1965159478771041, 1.2213145685586522, 1.2453880594943132, 1.2684325620703902, 1.2901304205148272, 1.310154794206814, 1.3281760391840445, 1.343870677318126, 1.3569344037592466, 1.3671019840910472, 1.3741805502730882, 1.3781152672754131, 1.379186196907897 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2603277355928491, -0.025213650452974752, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.229488

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

DVJxBGEVP53L4gHeudgQzDD

null

false

null

false

DPpAUzHXvL4R54CLTmWUGHN

D6qRPbAv3g2YEd4mwXkMLm3

{"qi": 0.06887837517614831, "vacuum_well": -0.20893282114459819, "aspect_ratio": 8.315749408301132, "max_elongation": 5.393634701316134, "average_triangularity": 0.03959880546703201, "axis_magnetic_mirror_ratio": 0.4019454191653351, "edge_magnetic_mirror_ratio": 0.8335135594391897, "aspect_ratio_over_edge_rotational_transform": 7.095928776683374, "flux_compression_in_regions_of_bad_curvature": 1.5546511539856518, "axis_rotational_transform_over_n_field_periods": 0.21477657155474947, "edge_rotational_transform_over_n_field_periods": 0.23438085894057972, "minimum_normalized_magnetic_gradient_scale_length": 3.6157416260234494}

8.315749

7.095929

-0.128395

0.401945

0.214777

0.833514

0.234381

1.554651

5.393635

3.615742

0.068878

-0.208933

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.2172681688546294,0.026892321744295438,0.003492587550208036,-0.0010351250615298405],[0.001898956058270813,0.006290918040634806,-0.021536069046274364,-0.10112272945886838,0.12664340632390642,0.030467849826870425,0.009220898397245433,-0.004503173229702477,-0.0014283442432800383],[0.000658779132835892,-0.0035518348465087457,-0.004530170436414266,-0.0009513764306357446,0.002485473516288319,-0.0038281513960404696,-0.003728983284207551,-0.0005716044421163083,0.0001975046216727311],[-0.00010359964281375656,-0.0010803086012114453,0.007000768747702776,-0.0016326963892505431,0.00017022820319097243,-0.003076686418108695,0.00023799501840305335,0.00010073124709834825,0.00009966420222974009],[-0.00014927570673523894,0.0008768467770632388,-0.001572949351829438,-0.000018355634090783633,-0.0005143229170819603,0.00010446001644740226,-0.000020986081581823943,0.00003172069345509375,-0.000015895620696563194]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.018363319393633178,-0.02411349168171899,-0.005738915219142909,0.0005904917057827796],[-0.00029656654286608374,0.005232112875782594,-0.011018808117169716,-0.03608990173131092,-0.1323218246950079,-0.019187964889775394,-0.0013510439312036876,0.003638239749608322,0.00011637691706037406],[0.0008135699566236288,-0.005182434373710969,0.008618902555970958,-0.0008916273236141627,-0.018084214732651177,-0.006328212247074312,0.003876719367938117,0.00025749536443417896,-0.00002749029594576824],[-0.00014104439272251502,0.0023543341977601885,-0.0021664444557785694,0.007780282126657997,-0.0007328290511702709,0.0018017487794790886,-0.00007146743419301853,0.00003592233789826479,-0.00017112721981038772],[-0.000023825941862282607,-0.00029827832767085043,-0.001540421886563375,0.0003811770029042205,0.0011906912754840867,-0.00010228290849047391,0.00004615940046113684,-0.000010489046100743856,-0.000010651620458733304]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.2172681688546294, 0.026892321744295438, 0.003492587550208036, -0.0010351250615298405 ], [ 0.001898956058270813, 0.006290918040634806, -0.021536069046274364, -0.10112272945886838, 0.12664340632390642, 0.030467849826870425, 0.009220898397245433, -0.004503173229702477, -0.0014283442432800383 ], [ 0.000658779132835892, -0.0035518348465087457, -0.004530170436414266, -0.0009513764306357446, 0.002485473516288319, -0.0038281513960404696, -0.003728983284207551, -0.0005716044421163083, 0.0001975046216727311 ], [ -0.00010359964281375656, -0.0010803086012114453, 0.007000768747702776, -0.0016326963892505431, 0.00017022820319097243, -0.003076686418108695, 0.00023799501840305335, 0.00010073124709834825, 0.00009966420222974009 ], [ -0.00014927570673523894, 0.0008768467770632388, -0.001572949351829438, -0.000018355634090783633, -0.0005143229170819603, 0.00010446001644740226, -0.000020986081581823943, 0.00003172069345509375, -0.000015895620696563194 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.018363319393633178, -0.02411349168171899, -0.005738915219142909, 0.0005904917057827796 ], [ -0.00029656654286608374, 0.005232112875782594, -0.011018808117169716, -0.03608990173131092, -0.1323218246950079, -0.019187964889775394, -0.0013510439312036876, 0.003638239749608322, 0.00011637691706037406 ], [ 0.0008135699566236288, -0.005182434373710969, 0.008618902555970958, -0.0008916273236141627, -0.018084214732651177, -0.006328212247074312, 0.003876719367938117, 0.00025749536443417896, -0.00002749029594576824 ], [ -0.00014104439272251502, 0.0023543341977601885, -0.0021664444557785694, 0.007780282126657997, -0.0007328290511702709, 0.0018017487794790886, -0.00007146743419301853, 0.00003592233789826479, -0.00017112721981038772 ], [ -0.000023825941862282607, -0.00029827832767085043, -0.001540421886563375, 0.0003811770029042205, 0.0011906912754840867, -0.00010228290849047391, 0.00004615940046113684, -0.000010489046100743856, -0.000010651620458733304 ] ]

DhQAQpgLBLTStKbDtuZqbqx

{"aspect_ratio": 7.83514283652035, "major_radius": 1.0, "max_elongation": 4.303544000233318, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.32830012809424736, -0.37679264104663673, 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": [[0.8668195215618397, 0.8668215271360584, 0.8668483259802504, 0.8669534565914317, 0.8672118035045095, 0.8677110846065652, 0.8685449517814097, 0.8698073088161395, 0.8715876480314102, 0.8739672752447494, 0.8770163246987784, 0.8807914833293156, 0.8853343547102794, 0.8906704003423452, 0.8968084011618203, 0.9037403860342835, 0.9114419770192281, 0.9198731036222536, 0.9289790402648019, 0.9386917229134529, 0.9489313023005785, 0.9596078924918101, 0.9706234747542828, 0.9818739177838212, 0.9932510763830437, 1.004644931664899, 1.01594573680329, 1.0270461332778227, 1.037843203475611, 1.0482404264310228, 1.058149504415636, 1.0674920290473244, 1.076200956582048, 1.0842218630990734, 1.0915139514069636, 1.098050782704321, 1.1038207073517414, 1.1088269705828462, 1.1130874706463856, 1.1166341487876335, 1.1195119927284918, 1.1217776380111721, 1.1234975549075537, 1.124745812840441, 1.125601419860442, 1.1261452424402378, 1.1264565221019902, 1.1266090230480137, 1.1266668756036893, 1.1266802422303654, 1.1266810988865261], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0306719134482099}

7.835143

1

4.303544

[ [ 0.8668195215618397, 0.8668215271360584, 0.8668483259802504, 0.8669534565914317, 0.8672118035045095, 0.8677110846065652, 0.8685449517814097, 0.8698073088161395, 0.8715876480314102, 0.8739672752447494, 0.8770163246987784, 0.8807914833293156, 0.8853343547102794, 0.8906704003423452, 0.8968084011618203, 0.9037403860342835, 0.9114419770192281, 0.9198731036222536, 0.9289790402648019, 0.9386917229134529, 0.9489313023005785, 0.9596078924918101, 0.9706234747542828, 0.9818739177838212, 0.9932510763830437, 1.004644931664899, 1.01594573680329, 1.0270461332778227, 1.037843203475611, 1.0482404264310228, 1.058149504415636, 1.0674920290473244, 1.076200956582048, 1.0842218630990734, 1.0915139514069636, 1.098050782704321, 1.1038207073517414, 1.1088269705828462, 1.1130874706463856, 1.1166341487876335, 1.1195119927284918, 1.1217776380111721, 1.1234975549075537, 1.124745812840441, 1.125601419860442, 1.1261452424402378, 1.1264565221019902, 1.1266090230480137, 1.1266668756036893, 1.1266802422303654, 1.1266810988865261 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.32830012809424736, -0.37679264104663673, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.030672

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

DUy5SehJmSxBJMQPLrqJHzY

null

false

null

false

Dg3qQoY4ypUDACVCbsvyFho

DDfhzqYhDDKjaPpny9ZtAxY

{"qi": 0.013077049847341503, "vacuum_well": -0.11346490749765921, "aspect_ratio": 9.412999008316708, "max_elongation": 5.537049955827974, "average_triangularity": -0.19743879342430246, "axis_magnetic_mirror_ratio": 0.24125726546842668, "edge_magnetic_mirror_ratio": 0.28778544592263067, "aspect_ratio_over_edge_rotational_transform": 17.76336552977462, "flux_compression_in_regions_of_bad_curvature": 1.2418156802629403, "axis_rotational_transform_over_n_field_periods": 0.14827486167691306, "edge_rotational_transform_over_n_field_periods": 0.1324776967593615, "minimum_normalized_magnetic_gradient_scale_length": 8.504359842600234}

9.412999

17.763366

-0.641223

0.241257

0.148275

0.287785

0.132478

1.241816

5.53705

8.50436

0.013077

-0.113465

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.03099345100843067,-0.021156312136988216,0.0008314025060934599,-0.00007816218047492374],[0.00041131936205061794,-0.0021171889842278367,0.0011448672995654852,0.05794792585125666,0.08242460669299903,-0.0335662205897323,-0.008303594192919154,0.0007146898072734547,-0.0004511034166510059],[-0.00004478975766969029,0.0009295182279382702,0.0010431089870312645,-0.016290434551879278,-0.03481763227509366,0.005893817965405947,-0.00370170354785907,-0.00012640897914446023,0.00017902000496012915],[-0.00025245149635647155,-0.0005806603231202754,0.0012902330526601874,0.0028334204026930617,0.008890502025896882,0.0002594826118006103,0.0011082898967783614,-0.00034793522702993376,0.000059022061577231776],[-0.00010497034799092776,0.00015400905797653816,-0.0001954360774017906,-0.001331553068249816,-0.0022025381424295083,0.0003139610796287838,0.00032809296304970237,0.000029388281547130645,-0.000010242761571090419]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.0780856014212109,0.01212103190713646,-0.00248872724190612,0.0001405137290920143],[0.0005319616360773666,0.0005814460354847961,0.014618952476131652,0.04610474062403473,-0.15982675952689343,-0.005359905341678191,0.0017045901750976705,-0.0003149457301935434,0.0011178880163934973],[-0.0006258793740936062,-0.0007911046338976303,-0.001082708134434978,-0.034312835624198075,0.022093746875685636,-0.0007476495222541388,0.003299651339238847,-0.000055219361336109214,0.00020573523869260664],[0.00028822161712976967,0.0008066518131860441,0.00015504952614546214,0.00852872856762378,-0.0024671542829846948,-0.00019330560052366243,-0.0017158213543532527,-0.00013828579946813377,0.000036415299270993684],[-0.00011545544678009209,0.00026392542413614887,-0.0009934059761121704,-0.0005940943289426558,0.0002783005330693493,0.0010966667225836542,-0.0004954322284690836,0.00023001455796215267,-0.00007236917905954891]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.03099345100843067, -0.021156312136988216, 0.0008314025060934599, -0.00007816218047492374 ], [ 0.00041131936205061794, -0.0021171889842278367, 0.0011448672995654852, 0.05794792585125666, 0.08242460669299903, -0.0335662205897323, -0.008303594192919154, 0.0007146898072734547, -0.0004511034166510059 ], [ -0.00004478975766969029, 0.0009295182279382702, 0.0010431089870312645, -0.016290434551879278, -0.03481763227509366, 0.005893817965405947, -0.00370170354785907, -0.00012640897914446023, 0.00017902000496012915 ], [ -0.00025245149635647155, -0.0005806603231202754, 0.0012902330526601874, 0.0028334204026930617, 0.008890502025896882, 0.0002594826118006103, 0.0011082898967783614, -0.00034793522702993376, 0.000059022061577231776 ], [ -0.00010497034799092776, 0.00015400905797653816, -0.0001954360774017906, -0.001331553068249816, -0.0022025381424295083, 0.0003139610796287838, 0.00032809296304970237, 0.000029388281547130645, -0.000010242761571090419 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.0780856014212109, 0.01212103190713646, -0.00248872724190612, 0.0001405137290920143 ], [ 0.0005319616360773666, 0.0005814460354847961, 0.014618952476131652, 0.04610474062403473, -0.15982675952689343, -0.005359905341678191, 0.0017045901750976705, -0.0003149457301935434, 0.0011178880163934973 ], [ -0.0006258793740936062, -0.0007911046338976303, -0.001082708134434978, -0.034312835624198075, 0.022093746875685636, -0.0007476495222541388, 0.003299651339238847, -0.000055219361336109214, 0.00020573523869260664 ], [ 0.00028822161712976967, 0.0008066518131860441, 0.00015504952614546214, 0.00852872856762378, -0.0024671542829846948, -0.00019330560052366243, -0.0017158213543532527, -0.00013828579946813377, 0.000036415299270993684 ], [ -0.00011545544678009209, 0.00026392542413614887, -0.0009934059761121704, -0.0005940943289426558, 0.0002783005330693493, 0.0010966667225836542, -0.0004954322284690836, 0.00023001455796215267, -0.00007236917905954891 ] ]

DnhnXX7DRKYLgCZqf6JXZfw

{"aspect_ratio": 8.667948374685782, "major_radius": 1.0, "max_elongation": 5.221226689589081, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.09982932993413865, 0.11462052888341999, 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": [[0.8099996312005759, 0.809999958387851, 0.8100060139528101, 0.8100353999320415, 0.8101198751433308, 0.8103050510151416, 0.8106492180134698, 0.8112216754164606, 0.8121007532290637, 0.8133716436182289, 0.8151241234149711, 0.8174502285429757, 0.8204419281371348, 0.8241888372570774, 0.8287760008013666, 0.8342817765689404, 0.8407758418576617, 0.8483173452030506, 0.8569532226286496, 0.8667166959591088, 0.8776259692384792, 0.8896831380287249, 0.9028733252857595, 0.9171640565843211, 0.9325048866599632, 0.9488272885343396, 0.9660448158716454, 0.9840535486660864, 1.0027328318718411, 1.021946316149602, 1.0415433095104794, 1.0613604482832522, 1.0812236955101349, 1.1009506745858142, 1.1203533456916883, 1.1392410323399995, 1.1574238051296022, 1.1747162296260443, 1.190941485114105, 1.2059358608330313, 1.2195536361977513, 1.2316723514410999, 1.2421984750964374, 1.251073474801911, 1.2582802980936174, 1.2638502702577838, 1.2678704171318473, 1.2704912224648346, 1.2719348334435983, 1.2725037392958973, 1.272589997980396], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5997291371377921}

8.667948

1

5.221227

[ [ 0.8099996312005759, 0.809999958387851, 0.8100060139528101, 0.8100353999320415, 0.8101198751433308, 0.8103050510151416, 0.8106492180134698, 0.8112216754164606, 0.8121007532290637, 0.8133716436182289, 0.8151241234149711, 0.8174502285429757, 0.8204419281371348, 0.8241888372570774, 0.8287760008013666, 0.8342817765689404, 0.8407758418576617, 0.8483173452030506, 0.8569532226286496, 0.8667166959591088, 0.8776259692384792, 0.8896831380287249, 0.9028733252857595, 0.9171640565843211, 0.9325048866599632, 0.9488272885343396, 0.9660448158716454, 0.9840535486660864, 1.0027328318718411, 1.021946316149602, 1.0415433095104794, 1.0613604482832522, 1.0812236955101349, 1.1009506745858142, 1.1203533456916883, 1.1392410323399995, 1.1574238051296022, 1.1747162296260443, 1.190941485114105, 1.2059358608330313, 1.2195536361977513, 1.2316723514410999, 1.2421984750964374, 1.251073474801911, 1.2582802980936174, 1.2638502702577838, 1.2678704171318473, 1.2704912224648346, 1.2719348334435983, 1.2725037392958973, 1.272589997980396 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.09982932993413865, 0.11462052888341999, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.599729

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

DjsQbDPcgcNWyz9UuRXoHGq

null

false

null

false

DVaZcmYEo9HC6c2AVqdCEkw

DMgZ6FQXQ82T5LYGycje2a6

{"qi": 0.014672873095003479, "vacuum_well": -0.21489344764351134, "aspect_ratio": 9.688229642599806, "max_elongation": 6.68421196467772, "average_triangularity": -0.4289473875665788, "axis_magnetic_mirror_ratio": 0.2499787548157472, "edge_magnetic_mirror_ratio": 0.4187142917390464, "aspect_ratio_over_edge_rotational_transform": 8.826853692385924, "flux_compression_in_regions_of_bad_curvature": 1.232845183155545, "axis_rotational_transform_over_n_field_periods": 0.2822933665561704, "edge_rotational_transform_over_n_field_periods": 0.3658619473496318, "minimum_normalized_magnetic_gradient_scale_length": 5.899111992405356}

9.68823

8.826854

-0.480501

0.249979

0.282293

0.418714

0.365862

1.232845

6.684212

5.899112

0.014673

-0.214893

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.07293497749358306,-0.0399423102609743,0.006612404422732932,0.0008850825454750163],[-0.00021904484993345765,-0.008972067902858098,0.05971560071072071,-0.007245955021568834,0.08235861308863004,-0.03541443110664687,-0.01181404179047367,0.003264255105682301,0.001190528380675032],[-0.00007496950785482214,-0.001987041447852559,0.0023166292560352847,-0.016134827869208834,-0.017325985695952954,0.0009748539434077021,0.0005758646216235423,-0.0007815967376399238,-0.00007230294699943148],[0.001283420341240449,-0.0017666031513829477,0.0009264874082220878,-0.0044980850130943925,0.0028146883425000865,-0.0009361074450993914,-0.000193084140251282,0.00024404543147604123,0.000039496996738085165],[0.0007221334266011306,-0.0012870650194636638,0.0005757058765310721,-0.00001415205775592756,-0.00007554820657020098,-0.0001895058357865671,0.0002711759142087918,0.00006822299966075397,-0.00001733419736627711]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06238633641271801,0.01803465456904773,-0.00735786505642018,-0.0002252018395549095],[0.0006371431143500487,-0.0040788683127792645,0.057710688283425654,-0.026153849546070616,-0.16352108929669967,0.01632525170792568,0.016849706026407434,-0.0006639732540945048,-0.0010198358145566502],[0.0006090844241686882,-0.0034851030258410192,-0.015723202194922112,-0.004265945130171592,0.005515843552323042,0.003552670537060402,0.001310280155258403,0.0008749648747137853,0.00016343971814724358],[0.00022605595527290913,-0.000276984777295451,-0.0017969864192525233,0.006132292539729299,-0.0012983082318206583,0.0006844141815126313,0.0006283492725564366,0.00009408166049438219,-0.0000203302454010223],[-0.00001346247694547636,0.000021482878546402886,-5.184749526945185e-6,-0.00005354662743244163,-0.0001779616827886077,0.0007159010821485941,-0.0002524748893285236,-0.00017679453048317234,-0.000027621398033462688]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.07293497749358306, -0.0399423102609743, 0.006612404422732932, 0.0008850825454750163 ], [ -0.00021904484993345765, -0.008972067902858098, 0.05971560071072071, -0.007245955021568834, 0.08235861308863004, -0.03541443110664687, -0.01181404179047367, 0.003264255105682301, 0.001190528380675032 ], [ -0.00007496950785482214, -0.001987041447852559, 0.0023166292560352847, -0.016134827869208834, -0.017325985695952954, 0.0009748539434077021, 0.0005758646216235423, -0.0007815967376399238, -0.00007230294699943148 ], [ 0.001283420341240449, -0.0017666031513829477, 0.0009264874082220878, -0.0044980850130943925, 0.0028146883425000865, -0.0009361074450993914, -0.000193084140251282, 0.00024404543147604123, 0.000039496996738085165 ], [ 0.0007221334266011306, -0.0012870650194636638, 0.0005757058765310721, -0.00001415205775592756, -0.00007554820657020098, -0.0001895058357865671, 0.0002711759142087918, 0.00006822299966075397, -0.00001733419736627711 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06238633641271801, 0.01803465456904773, -0.00735786505642018, -0.0002252018395549095 ], [ 0.0006371431143500487, -0.0040788683127792645, 0.057710688283425654, -0.026153849546070616, -0.16352108929669967, 0.01632525170792568, 0.016849706026407434, -0.0006639732540945048, -0.0010198358145566502 ], [ 0.0006090844241686882, -0.0034851030258410192, -0.015723202194922112, -0.004265945130171592, 0.005515843552323042, 0.003552670537060402, 0.001310280155258403, 0.0008749648747137853, 0.00016343971814724358 ], [ 0.00022605595527290913, -0.000276984777295451, -0.0017969864192525233, 0.006132292539729299, -0.0012983082318206583, 0.0006844141815126313, 0.0006283492725564366, 0.00009408166049438219, -0.0000203302454010223 ], [ -0.00001346247694547636, 0.000021482878546402886, -0.000005184749526945185, -0.00005354662743244163, -0.0001779616827886077, 0.0007159010821485941, -0.0002524748893285236, -0.00017679453048317234, -0.000027621398033462688 ] ]

DR7Z8cVHsXHqECYrMiN7n6c

{"aspect_ratio": 10.376617840037923, "major_radius": 1.0, "max_elongation": 5.9802369232123755, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.15992617744941925, -0.1610422817891126, 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": [[0.6967080532048473, 0.6967082183350676, 0.6967136301742798, 0.6967503423103015, 0.6968818850537567, 0.6972186291370024, 0.6979198970251481, 0.6991899290081386, 0.7012690684142286, 0.7044215570728204, 0.7089212569954955, 0.7150364875708167, 0.7230150144215379, 0.7330700606987657, 0.745368042854097, 0.7600185667114547, 0.7770670600173762, 0.7964902674728968, 0.8181946956335833, 0.8420179695266605, 0.8677329514697294, 0.8950543761495573, 0.9236476750342529, 0.9531395979335902, 0.9831301900920228, 1.013205649537783, 1.0429515713154716, 1.071966082361182, 1.0998723826741479, 1.126330234509576, 1.1510459808531934, 1.1737807266028901, 1.1943563797092873, 1.2126593239071715, 1.228641578342351, 1.2423193909310282, 1.2537693100533476, 1.263121881323662, 1.2705532205699233, 1.276274818334623, 1.2805220323058601, 1.2835418186911287, 1.2855803375404196, 1.2868711353152658, 1.287624654092785, 1.2880198320862066, 1.2881985326771273, 1.288263451071407, 1.2882799699962453, 1.288282114666992, 1.2882821682134917], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8195986641011858}

10.376618

1

5.980237

[ [ 0.6967080532048473, 0.6967082183350676, 0.6967136301742798, 0.6967503423103015, 0.6968818850537567, 0.6972186291370024, 0.6979198970251481, 0.6991899290081386, 0.7012690684142286, 0.7044215570728204, 0.7089212569954955, 0.7150364875708167, 0.7230150144215379, 0.7330700606987657, 0.745368042854097, 0.7600185667114547, 0.7770670600173762, 0.7964902674728968, 0.8181946956335833, 0.8420179695266605, 0.8677329514697294, 0.8950543761495573, 0.9236476750342529, 0.9531395979335902, 0.9831301900920228, 1.013205649537783, 1.0429515713154716, 1.071966082361182, 1.0998723826741479, 1.126330234509576, 1.1510459808531934, 1.1737807266028901, 1.1943563797092873, 1.2126593239071715, 1.228641578342351, 1.2423193909310282, 1.2537693100533476, 1.263121881323662, 1.2705532205699233, 1.276274818334623, 1.2805220323058601, 1.2835418186911287, 1.2855803375404196, 1.2868711353152658, 1.287624654092785, 1.2880198320862066, 1.2881985326771273, 1.288263451071407, 1.2882799699962453, 1.288282114666992, 1.2882821682134917 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.15992617744941925, -0.1610422817891126, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.819599

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

DKTVkcTTVoBHrMwVLQopAVb

null

false

null

false

DnK67MurAEVBkvXLiudb2UH

Dch5aBZTecHmFcFBhPembTJ

{"qi": 0.008115322460438583, "vacuum_well": 0.07039049868535165, "aspect_ratio": 9.630381791170029, "max_elongation": 5.458165224133453, "average_triangularity": 0.3605816838292972, "axis_magnetic_mirror_ratio": 0.26318254349012915, "edge_magnetic_mirror_ratio": 0.3036087660607632, "aspect_ratio_over_edge_rotational_transform": 286.8089511197782, "flux_compression_in_regions_of_bad_curvature": 0.7913890079844128, "axis_rotational_transform_over_n_field_periods": 0.14335877067708527, "edge_rotational_transform_over_n_field_periods": 0.033577689097813945, "minimum_normalized_magnetic_gradient_scale_length": 1.0324505656919702}

9.630382

286.808951

0.367945

0.263183

0.143359

0.303609

0.033578

0.791389

5.458165

1.032451

0.008115

0.07039

{"r_cos":[[0.0,0.0,0.0,0.0,0.9960404960804412,-0.010493485808873002,-0.1900328953460514,-0.0014505634762354575,0.007651025752625724],[0.0008058327335776152,-0.014258225291066753,0.027264537295303932,0.018985979660744553,0.06451084524254662,-0.031304238854955785,0.038206510027088185,-0.009741732784879147,0.00008880687585631215],[-0.0005510756197024466,-0.0027468440620151777,0.009669726514487392,0.01590976633139314,-0.022168429501084226,-0.017134580218878835,0.00755699527802694,0.0038356363309390885,-0.0005112684976479655],[0.00012232988235321395,0.00042817620123239343,0.0004694137645859084,0.0004704215216877355,0.004524249720699296,0.004392936985942722,0.002078955171360486,0.00015334754202861534,0.0006516045569656812],[0.000055226304663436314,5.694708612627035e-6,-0.00037046654979302747,-0.0008750941741689244,0.0003365496414459639,0.0008303723755710307,0.0004367013161483877,-0.00036600367365009724,-0.0001955074539796638]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.11791042028636953,-0.0345218079960706,-0.024794317235455332,0.0037879872562541312],[0.0010372593096302715,-0.0007022426598538921,0.027981712972929826,-0.0956846237842553,-0.08818008088946439,0.09274984765972466,-0.015285782322616903,-0.00010667537506084,-0.0002886349465389637],[0.0009495846634936094,0.0006435876662932861,-0.0050501439390729175,-0.013861417067082884,0.001979899024327284,0.00816989970135513,0.007436127178708069,0.003742636321908713,-0.0007304909663840784],[0.00023411042978542,-0.0008494474468683627,-0.0031972462959872026,0.001018247686008964,-0.007819546213462583,0.0017679940197651623,-0.0010979258797029308,0.0018514479062690203,0.000634427791372559],[-0.00006378327253469423,-0.0003872478591988939,0.0004737885804381576,0.0008470888379405834,-0.0004114559333916045,0.0005886143894113993,-0.00031709264182382715,-0.0008538883860055287,-0.0002210591088345514]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9960404960804412, -0.010493485808873002, -0.1900328953460514, -0.0014505634762354575, 0.007651025752625724 ], [ 0.0008058327335776152, -0.014258225291066753, 0.027264537295303932, 0.018985979660744553, 0.06451084524254662, -0.031304238854955785, 0.038206510027088185, -0.009741732784879147, 0.00008880687585631215 ], [ -0.0005510756197024466, -0.0027468440620151777, 0.009669726514487392, 0.01590976633139314, -0.022168429501084226, -0.017134580218878835, 0.00755699527802694, 0.0038356363309390885, -0.0005112684976479655 ], [ 0.00012232988235321395, 0.00042817620123239343, 0.0004694137645859084, 0.0004704215216877355, 0.004524249720699296, 0.004392936985942722, 0.002078955171360486, 0.00015334754202861534, 0.0006516045569656812 ], [ 0.000055226304663436314, 0.000005694708612627035, -0.00037046654979302747, -0.0008750941741689244, 0.0003365496414459639, 0.0008303723755710307, 0.0004367013161483877, -0.00036600367365009724, -0.0001955074539796638 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.11791042028636953, -0.0345218079960706, -0.024794317235455332, 0.0037879872562541312 ], [ 0.0010372593096302715, -0.0007022426598538921, 0.027981712972929826, -0.0956846237842553, -0.08818008088946439, 0.09274984765972466, -0.015285782322616903, -0.00010667537506084, -0.0002886349465389637 ], [ 0.0009495846634936094, 0.0006435876662932861, -0.0050501439390729175, -0.013861417067082884, 0.001979899024327284, 0.00816989970135513, 0.007436127178708069, 0.003742636321908713, -0.0007304909663840784 ], [ 0.00023411042978542, -0.0008494474468683627, -0.0031972462959872026, 0.001018247686008964, -0.007819546213462583, 0.0017679940197651623, -0.0010979258797029308, 0.0018514479062690203, 0.000634427791372559 ], [ -0.00006378327253469423, -0.0003872478591988939, 0.0004737885804381576, 0.0008470888379405834, -0.0004114559333916045, 0.0005886143894113993, -0.00031709264182382715, -0.0008538883860055287, -0.0002210591088345514 ] ]

D5uerFi8Ss46mSYJNSiN3aQ

{"aspect_ratio": 10.919635145844579, "major_radius": 1.0, "max_elongation": 5.284155191979728, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.17607770532242906, -0.21780797464974083, 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": [[0.8181885544699453, 0.8181885623032552, 0.8181888860692123, 0.8181914708963365, 0.8182020288051747, 0.818232288974022, 0.8183020625877414, 0.8184409620252335, 0.8186896781789802, 0.8191007591514112, 0.8197388613025851, 0.8206804646166773, 0.8220130610131756, 0.8238338378699057, 0.8262478904379603, 0.8293660065166613, 0.8333020750564379, 0.8381701775019194, 0.8440814268417169, 0.8511406246138841, 0.8594428106121325, 0.8690697838078486, 0.880086676087556, 0.8925386628293143, 0.9064478961151884, 0.921810747497838, 0.9385954476920357, 0.9567402103175865, 0.9761519258346947, 0.9967055100249649, 1.0182439886984165, 1.0405793966404056, 1.063494564009591, 1.086745857271949, 1.1100669340593678, 1.1331735617449292, 1.1557695375849246, 1.1775537333765291, 1.1982282688585983, 1.2175077943025499, 1.2351298320691535, 1.2508660865477221, 1.2645345774081502, 1.2760123751162245, 1.2852486072775602, 1.2922772353966763, 1.2972288247609163, 1.3003400331197632, 1.3019585283755362, 1.3025385060708738, 1.30261240725877], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.16227709719847583}

10.919635

1

5.284155

[ [ 0.8181885544699453, 0.8181885623032552, 0.8181888860692123, 0.8181914708963365, 0.8182020288051747, 0.818232288974022, 0.8183020625877414, 0.8184409620252335, 0.8186896781789802, 0.8191007591514112, 0.8197388613025851, 0.8206804646166773, 0.8220130610131756, 0.8238338378699057, 0.8262478904379603, 0.8293660065166613, 0.8333020750564379, 0.8381701775019194, 0.8440814268417169, 0.8511406246138841, 0.8594428106121325, 0.8690697838078486, 0.880086676087556, 0.8925386628293143, 0.9064478961151884, 0.921810747497838, 0.9385954476920357, 0.9567402103175865, 0.9761519258346947, 0.9967055100249649, 1.0182439886984165, 1.0405793966404056, 1.063494564009591, 1.086745857271949, 1.1100669340593678, 1.1331735617449292, 1.1557695375849246, 1.1775537333765291, 1.1982282688585983, 1.2175077943025499, 1.2351298320691535, 1.2508660865477221, 1.2645345774081502, 1.2760123751162245, 1.2852486072775602, 1.2922772353966763, 1.2972288247609163, 1.3003400331197632, 1.3019585283755362, 1.3025385060708738, 1.30261240725877 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.17607770532242906, -0.21780797464974083, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.162277

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

DagQ2UmqXZA7Wf7Li7ZQ4J7

null

false

null

false

DFP4sGqv6TghFGXrfrTrxak

DigBR5tqX8WxYSpt6b6mB7N

{"qi": 0.009246318647600492, "vacuum_well": -0.05113251658491361, "aspect_ratio": 9.598684348387344, "max_elongation": 4.985216878730745, "average_triangularity": 0.01575151309306773, "axis_magnetic_mirror_ratio": 0.14885640754798657, "edge_magnetic_mirror_ratio": 0.22176518124813002, "aspect_ratio_over_edge_rotational_transform": 26.80679471719969, "flux_compression_in_regions_of_bad_curvature": 0.9520903071147063, "axis_rotational_transform_over_n_field_periods": 0.26572152640757857, "edge_rotational_transform_over_n_field_periods": 0.17903454048962944, "minimum_normalized_magnetic_gradient_scale_length": 4.629851498408874}

9.598684

26.806795

-0.170654

0.148856

0.265722

0.221765

0.179035

0.95209

4.985217

4.629851

0.009246

-0.051133

{"r_cos":[[0.0,0.0,0.0,0.0,0.9913215038434212,-0.15417419642330682,-0.032721467006846555,0.016619723283439383,0.0006418421054385382],[-0.000013638810590545594,-0.007647420134480082,0.0321090883588291,-0.004235095363534037,0.10688499109390491,-0.031047077113863196,0.023599484100028753,-0.004092268287264314,-0.000032052233329465745],[0.0006133403305862322,0.0018625338474557783,-0.012512590981808003,0.0036099480317514725,-0.028144434878898436,0.0013257673968149661,-0.0046749006791279675,-0.000605593126445952,0.0001858363078058298],[-0.0006161537748030483,0.00143940043090928,-0.0013481836309655714,-0.003544356206917968,0.0036384244475197694,0.003026904866926966,0.0009905555185431246,0.0007368425834080532,-0.0000407380468537673],[0.00024295206432979589,-0.0001982292115470252,0.0022190508358333294,-0.00018472327572410623,-0.0009200920267037651,-0.000916214320683539,-0.0002166302567688191,4.783293348598625e-6,0.00001352948163623625]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.15301379328984754,0.028864908806316918,-0.002576252468319525,0.002033139190317076],[-0.0013912531238069441,0.00021414641202555925,0.0404002275201182,-0.08047169738621304,-0.08403991435949856,0.07583780139422144,-0.020890609961368357,-0.001060810210553017,0.00014784389393800266],[0.0005215646905757296,-0.0009740005098405308,-0.008566014981458208,0.013923671677972467,0.012769793164910297,-0.01598367609168084,0.0016624435987146395,0.001582377395153494,-0.0003838464848616521],[-0.000506904536621754,0.0030836199964772897,-0.003403192843802188,-0.0033776613260447443,0.0005788226290608819,0.002545056612602742,0.00034019433430396086,-0.0006037850730114668,0.00005762603629015065],[0.0004029889054563908,-0.0008932667321765671,0.0004024151402836313,3.700013234762897e-6,0.0004159602570358921,-0.00010461308704038516,0.0000874372165426098,0.0000558501760145896,-0.00001215092271963442]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9913215038434212, -0.15417419642330682, -0.032721467006846555, 0.016619723283439383, 0.0006418421054385382 ], [ -0.000013638810590545594, -0.007647420134480082, 0.0321090883588291, -0.004235095363534037, 0.10688499109390491, -0.031047077113863196, 0.023599484100028753, -0.004092268287264314, -0.000032052233329465745 ], [ 0.0006133403305862322, 0.0018625338474557783, -0.012512590981808003, 0.0036099480317514725, -0.028144434878898436, 0.0013257673968149661, -0.0046749006791279675, -0.000605593126445952, 0.0001858363078058298 ], [ -0.0006161537748030483, 0.00143940043090928, -0.0013481836309655714, -0.003544356206917968, 0.0036384244475197694, 0.003026904866926966, 0.0009905555185431246, 0.0007368425834080532, -0.0000407380468537673 ], [ 0.00024295206432979589, -0.0001982292115470252, 0.0022190508358333294, -0.00018472327572410623, -0.0009200920267037651, -0.000916214320683539, -0.0002166302567688191, 0.000004783293348598625, 0.00001352948163623625 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.15301379328984754, 0.028864908806316918, -0.002576252468319525, 0.002033139190317076 ], [ -0.0013912531238069441, 0.00021414641202555925, 0.0404002275201182, -0.08047169738621304, -0.08403991435949856, 0.07583780139422144, -0.020890609961368357, -0.001060810210553017, 0.00014784389393800266 ], [ 0.0005215646905757296, -0.0009740005098405308, -0.008566014981458208, 0.013923671677972467, 0.012769793164910297, -0.01598367609168084, 0.0016624435987146395, 0.001582377395153494, -0.0003838464848616521 ], [ -0.000506904536621754, 0.0030836199964772897, -0.003403192843802188, -0.0033776613260447443, 0.0005788226290608819, 0.002545056612602742, 0.00034019433430396086, -0.0006037850730114668, 0.00005762603629015065 ], [ 0.0004029889054563908, -0.0008932667321765671, 0.0004024151402836313, 0.000003700013234762897, 0.0004159602570358921, -0.00010461308704038516, 0.0000874372165426098, 0.0000558501760145896, -0.00001215092271963442 ] ]

DSgD3f2fhTiFyhD3gKSEutk

{"aspect_ratio": 9.402404809781316, "major_radius": 1.0, "max_elongation": 4.5617875956424605, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.21631729751537201, 0.43293827957986947, 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": [[0.831753247036815, 0.8317537449806847, 0.8317652165994294, 0.8318275664604974, 0.8320181732129383, 0.832449623160338, 0.8332621795078513, 0.8346136080018961, 0.8366680205831322, 0.8395848629972508, 0.843508816037776, 0.8485611221909592, 0.8548326540419422, 0.8623788891230721, 0.8712168369303891, 0.88132387055946, 0.8926383429932407, 0.9050618130207433, 0.918462665428971, 0.9326808824053098, 0.9475337063127552, 0.9628219267294702, 0.9783365256501834, 0.9938654229511676, 1.0092000786562014, 1.0241417283266283, 1.0385070522186644, 1.0521331069397917, 1.0648813794660108, 1.0766408568534938, 1.0873300401121675, 1.096897866837508, 1.1053235436583209, 1.112615325689114, 1.118808315304274, 1.123961385990617, 1.1281533680740372, 1.1314786610103877, 1.1340424608899171, 1.135955810976678, 1.1373306965550851, 1.138275412040108, 1.1388904270280917, 1.1392649673111637, 1.1394745051296382, 1.1395793179072555, 1.139624223474181, 1.139639528135355, 1.1396431253099912, 1.1396435451515148, 1.1396435540375287], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5685424960728969}

9.402405

1

4.561788

[ [ 0.831753247036815, 0.8317537449806847, 0.8317652165994294, 0.8318275664604974, 0.8320181732129383, 0.832449623160338, 0.8332621795078513, 0.8346136080018961, 0.8366680205831322, 0.8395848629972508, 0.843508816037776, 0.8485611221909592, 0.8548326540419422, 0.8623788891230721, 0.8712168369303891, 0.88132387055946, 0.8926383429932407, 0.9050618130207433, 0.918462665428971, 0.9326808824053098, 0.9475337063127552, 0.9628219267294702, 0.9783365256501834, 0.9938654229511676, 1.0092000786562014, 1.0241417283266283, 1.0385070522186644, 1.0521331069397917, 1.0648813794660108, 1.0766408568534938, 1.0873300401121675, 1.096897866837508, 1.1053235436583209, 1.112615325689114, 1.118808315304274, 1.123961385990617, 1.1281533680740372, 1.1314786610103877, 1.1340424608899171, 1.135955810976678, 1.1373306965550851, 1.138275412040108, 1.1388904270280917, 1.1392649673111637, 1.1394745051296382, 1.1395793179072555, 1.139624223474181, 1.139639528135355, 1.1396431253099912, 1.1396435451515148, 1.1396435540375287 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.21631729751537201, 0.43293827957986947, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.568542

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

D2PrxxJxdQQjZKDQZ5XjpGA

null

false

null

false

DBuwNYT5CLpyhc9rWqDyX68

DGdN6AWhicm5k3XZRvUwukF

{"qi": 0.018134508878278898, "vacuum_well": -0.12342579995063395, "aspect_ratio": 9.9593828254243, "max_elongation": 4.638479801350047, "average_triangularity": -0.5654569840871151, "axis_magnetic_mirror_ratio": 0.15817613069484826, "edge_magnetic_mirror_ratio": 0.21452456808878512, "aspect_ratio_over_edge_rotational_transform": 53.68207000469717, "flux_compression_in_regions_of_bad_curvature": 1.4557341299648698, "axis_rotational_transform_over_n_field_periods": 0.1767320916354734, "edge_rotational_transform_over_n_field_periods": 0.18552531272644396, "minimum_normalized_magnetic_gradient_scale_length": 2.4786770632678485}

9.959383

53.68207

-0.751609

0.158176

0.176732

0.214525

0.185525

1.455734

4.63848

2.478677

0.018135

-0.123426

{"r_cos":[[0.0,0.0,0.0,0.0,0.9977571069955418,0.006048946833967027,-0.20998594865237247,0.009455302009207675,0.003971297846011944],[-0.0007169337203042778,-0.01466986305209535,0.026151397812989148,0.007905430184256913,0.05795911068062598,-0.04171317656261595,0.02892193677249314,-0.006236565913495879,-0.0006760543348349749],[-0.0007257978305068704,0.0040615061199248265,-0.01213961033599515,-0.01358566159358351,0.005647096944599382,0.011272349306737295,-0.003717589899590575,-0.00011719598700517427,0.000055572638063578253],[0.00010099141103422529,-0.002015331479781235,-0.0005019856228478128,0.002865948213910709,-0.0038407295731040653,-0.0014590759067193422,0.0027066678295159696,-0.0009163652135141283,0.00003100497831379284],[0.00006442295444513812,3.349031715767258e-6,-0.00018268371207664415,-0.00002380827504093984,0.0002826741699181192,-0.00008911153856112734,0.0001472641519772596,-0.00006332499031055542,-0.000015742167652920205]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.13876226781118342,0.019657975206098827,-0.01626539551151223,0.005075074881413752],[0.0022539393020114314,-0.014668521482573898,0.007375315577998708,-0.11621583814120232,-0.10060394066635353,0.07939339153796135,-0.023012270660488676,0.010485309678816983,-0.001286146046850113],[-0.0011098132516256165,-0.0037240470419042113,-0.01303317801826237,-0.0031974425257153185,-0.011508932709753034,0.006527727283529749,-0.005991161006070777,0.001833667417681612,-0.0005960543940223471],[-0.0012797209924600413,0.0009138421322864754,0.000286843558019053,0.0011355253607446645,-0.0016069298105647796,0.0006304779842757453,-7.286142439457701e-7,0.0006436049101749357,-0.00036730421883574975],[0.0003711875735230908,-0.00024124522795209054,-0.00042790945746543194,0.00044749887506591876,-0.0003249946258874939,0.0006169333063699733,-0.0008906250659537646,0.0004754696384172357,-0.00006600510677798582]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9977571069955418, 0.006048946833967027, -0.20998594865237247, 0.009455302009207675, 0.003971297846011944 ], [ -0.0007169337203042778, -0.01466986305209535, 0.026151397812989148, 0.007905430184256913, 0.05795911068062598, -0.04171317656261595, 0.02892193677249314, -0.006236565913495879, -0.0006760543348349749 ], [ -0.0007257978305068704, 0.0040615061199248265, -0.01213961033599515, -0.01358566159358351, 0.005647096944599382, 0.011272349306737295, -0.003717589899590575, -0.00011719598700517427, 0.000055572638063578253 ], [ 0.00010099141103422529, -0.002015331479781235, -0.0005019856228478128, 0.002865948213910709, -0.0038407295731040653, -0.0014590759067193422, 0.0027066678295159696, -0.0009163652135141283, 0.00003100497831379284 ], [ 0.00006442295444513812, 0.000003349031715767258, -0.00018268371207664415, -0.00002380827504093984, 0.0002826741699181192, -0.00008911153856112734, 0.0001472641519772596, -0.00006332499031055542, -0.000015742167652920205 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.13876226781118342, 0.019657975206098827, -0.01626539551151223, 0.005075074881413752 ], [ 0.0022539393020114314, -0.014668521482573898, 0.007375315577998708, -0.11621583814120232, -0.10060394066635353, 0.07939339153796135, -0.023012270660488676, 0.010485309678816983, -0.001286146046850113 ], [ -0.0011098132516256165, -0.0037240470419042113, -0.01303317801826237, -0.0031974425257153185, -0.011508932709753034, 0.006527727283529749, -0.005991161006070777, 0.001833667417681612, -0.0005960543940223471 ], [ -0.0012797209924600413, 0.0009138421322864754, 0.000286843558019053, 0.0011355253607446645, -0.0016069298105647796, 0.0006304779842757453, -7.286142439457701e-7, 0.0006436049101749357, -0.00036730421883574975 ], [ 0.0003711875735230908, -0.00024124522795209054, -0.00042790945746543194, 0.00044749887506591876, -0.0003249946258874939, 0.0006169333063699733, -0.0008906250659537646, 0.0004754696384172357, -0.00006600510677798582 ] ]

Dftatv7Lp54UFstEY8yWruE

{"aspect_ratio": 10.897962016144884, "major_radius": 1.0, "max_elongation": 4.44303511227512, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2313260137725329, 0.13586060074912557, 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": [[0.8602604446209612, 0.8602604695894435, 0.8602614613978085, 0.860269070007715, 0.8602989123556748, 0.8603809944087272, 0.8605625075780327, 0.8609087994241881, 0.8615025745448748, 0.8624415217705552, 0.8638346426989444, 0.8657975973957288, 0.8684473981189064, 0.8718967786782014, 0.8762485505045065, 0.8815902302279975, 0.8879891902116099, 0.8954885451412217, 0.9041039461166188, 0.913821410112212, 0.9245962683645192, 0.9363532732129611, 0.9489878600624617, 0.9623685202397179, 0.9763402022854017, 0.9907286242982983, 1.0053453489019402, 1.019993445766593, 1.0344735448719753, 1.0485900672819561, 1.0621574095288604, 1.0750058531461966, 1.0869869727876147, 1.0979783250398425, 1.107887215761707, 1.1166533668135554, 1.1242503336034928, 1.1306855631568045, 1.1359990285625887, 1.140260429772273, 1.143565012869454, 1.1460281300818433, 1.1477787408549962, 1.1489521400175147, 1.149682292014195, 1.1500942496489373, 1.1502972405510605, 1.1503791125383938, 1.1504029362120074, 1.1504066609544827, 1.1504067858944294], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.25275378593349307}

10.897962

1

4.443035

[ [ 0.8602604446209612, 0.8602604695894435, 0.8602614613978085, 0.860269070007715, 0.8602989123556748, 0.8603809944087272, 0.8605625075780327, 0.8609087994241881, 0.8615025745448748, 0.8624415217705552, 0.8638346426989444, 0.8657975973957288, 0.8684473981189064, 0.8718967786782014, 0.8762485505045065, 0.8815902302279975, 0.8879891902116099, 0.8954885451412217, 0.9041039461166188, 0.913821410112212, 0.9245962683645192, 0.9363532732129611, 0.9489878600624617, 0.9623685202397179, 0.9763402022854017, 0.9907286242982983, 1.0053453489019402, 1.019993445766593, 1.0344735448719753, 1.0485900672819561, 1.0621574095288604, 1.0750058531461966, 1.0869869727876147, 1.0979783250398425, 1.107887215761707, 1.1166533668135554, 1.1242503336034928, 1.1306855631568045, 1.1359990285625887, 1.140260429772273, 1.143565012869454, 1.1460281300818433, 1.1477787408549962, 1.1489521400175147, 1.149682292014195, 1.1500942496489373, 1.1502972405510605, 1.1503791125383938, 1.1504029362120074, 1.1504066609544827, 1.1504067858944294 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2313260137725329, 0.13586060074912557, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.252754

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

DKpmiSrxhzqoeSNhzi8YG9N

null

false

null

false

D8iKF7bLKL48ajhXtAovaGj

DAD8qaqeyPA5w2ZgPneSCTY

{"qi": 0.0027071518484036725, "vacuum_well": -0.09818145784639752, "aspect_ratio": 8.710537735485204, "max_elongation": 6.9700905150026475, "average_triangularity": -0.2347455161642604, "axis_magnetic_mirror_ratio": 0.36377427362814063, "edge_magnetic_mirror_ratio": 0.4299665163917388, "aspect_ratio_over_edge_rotational_transform": 16.97114776650707, "flux_compression_in_regions_of_bad_curvature": 1.1962717835137537, "axis_rotational_transform_over_n_field_periods": 0.16344069495480884, "edge_rotational_transform_over_n_field_periods": 0.12831391629085395, "minimum_normalized_magnetic_gradient_scale_length": 5.000936279155764}

8.710538

16.971148

-0.439019

0.363774

0.163441

0.429967

0.128314

1.196272

6.970091

5.000936

0.002707

-0.098181

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.007033430500627274,-0.023990270601958512,0.001816301763304831,-0.00011683618165389455],[0.0006507031673828361,-0.0027485429178300833,-0.010441390916239175,0.07447312193067027,0.13014808849797302,-0.04869878533447514,0.008830273071177596,-0.001303594503014493,-0.0008231326139593117],[0.00024161185063199082,0.004321804956864989,0.000860100315087265,-0.043689563279079885,-0.0375338637049641,0.006570155108499731,-0.004537739724060587,0.0001299227382632953,0.00004769615305783911],[-0.0005296107004787562,-0.0015531994927345796,0.0038124186661477742,0.00614395302104507,0.0008099340305616183,-0.0013624841385926623,0.0017553626430103614,-0.0006243099517243356,0.00005571665189394706],[0.0001503947423637841,-0.00021974405768560685,-0.000443806219197211,0.0007851033510587217,-0.00018572334804138613,-0.00006176143115363495,0.00021014755120560757,-0.00005183573404145064,0.00002737922730004441]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.15158221983285106,0.0123273254665108,0.0006758297867610723,0.0002461146557607638],[0.00032295679723397643,0.003273918261268831,0.022205991717201,0.059091119750763255,-0.13772173534738355,-0.01143601158324926,-0.001199449352483447,-0.0018555138324414218,0.0006370087380797389],[-0.00014445285084517957,-0.0010216688543541821,-0.014805572096690487,-0.018690239365661596,0.015449719604811882,0.010092621787658422,0.0007349696480604129,0.0009640814939863861,0.000013950147998770872],[-0.00005626288279317582,0.0009169899040702094,0.003127260668873219,0.0027047066311953454,-0.001107729624198747,0.0002660155709303337,-0.000938562247138982,-0.00013267160234373512,0.00002854020935845722],[-0.00009246879977068843,-0.00014340946603481116,0.00022374726402723407,-0.0004847225504349595,-0.0002153697230880586,0.0005047049655986498,-0.0002611715189602405,0.000029622596831705445,0.00001474649767578605]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.007033430500627274, -0.023990270601958512, 0.001816301763304831, -0.00011683618165389455 ], [ 0.0006507031673828361, -0.0027485429178300833, -0.010441390916239175, 0.07447312193067027, 0.13014808849797302, -0.04869878533447514, 0.008830273071177596, -0.001303594503014493, -0.0008231326139593117 ], [ 0.00024161185063199082, 0.004321804956864989, 0.000860100315087265, -0.043689563279079885, -0.0375338637049641, 0.006570155108499731, -0.004537739724060587, 0.0001299227382632953, 0.00004769615305783911 ], [ -0.0005296107004787562, -0.0015531994927345796, 0.0038124186661477742, 0.00614395302104507, 0.0008099340305616183, -0.0013624841385926623, 0.0017553626430103614, -0.0006243099517243356, 0.00005571665189394706 ], [ 0.0001503947423637841, -0.00021974405768560685, -0.000443806219197211, 0.0007851033510587217, -0.00018572334804138613, -0.00006176143115363495, 0.00021014755120560757, -0.00005183573404145064, 0.00002737922730004441 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.15158221983285106, 0.0123273254665108, 0.0006758297867610723, 0.0002461146557607638 ], [ 0.00032295679723397643, 0.003273918261268831, 0.022205991717201, 0.059091119750763255, -0.13772173534738355, -0.01143601158324926, -0.001199449352483447, -0.0018555138324414218, 0.0006370087380797389 ], [ -0.00014445285084517957, -0.0010216688543541821, -0.014805572096690487, -0.018690239365661596, 0.015449719604811882, 0.010092621787658422, 0.0007349696480604129, 0.0009640814939863861, 0.000013950147998770872 ], [ -0.00005626288279317582, 0.0009169899040702094, 0.003127260668873219, 0.0027047066311953454, -0.001107729624198747, 0.0002660155709303337, -0.000938562247138982, -0.00013267160234373512, 0.00002854020935845722 ], [ -0.00009246879977068843, -0.00014340946603481116, 0.00022374726402723407, -0.0004847225504349595, -0.0002153697230880586, 0.0005047049655986498, -0.0002611715189602405, 0.000029622596831705445, 0.00001474649767578605 ] ]

Do6NEPPMwg7sQoA79eG8Mge

{"aspect_ratio": 8.574428093036728, "major_radius": 1.0, "max_elongation": 6.535986555567371, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.004521943261912074, -0.2585862658272549, 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": [[0.6896611617199992, 0.6896617768763836, 0.6896727851060462, 0.6897251071881288, 0.6898733624566251, 0.690194832086972, 0.690787162132927, 0.6917653773689518, 0.693258488463474, 0.695405865170763, 0.6983534938773833, 0.7022502068254677, 0.7072439509029703, 0.7134781508727769, 0.7210882127398388, 0.7301982062329262, 0.7409177602931845, 0.753339201516592, 0.7675349623713335, 0.7835552834906563, 0.8014262322804468, 0.8211480583753128, 0.8426939050531069, 0.8660088945212012, 0.8910096039781541, 0.9175839485016611, 0.945591486095475, 0.9748641596278902, 1.0052074899007901, 1.0364022336936136, 1.0682065203271747, 1.1003584800879849, 1.132579377748617, 1.16457726442234, 1.1960511611155265, 1.2266957876117197, 1.2562068507706448, 1.2842869070040235, 1.31065181467272, 1.3350377935502844, 1.357209110493184, 1.3769664133314155, 1.3941557392167396, 1.4086782300621923, 1.4205005977925578, 1.4296663988986955, 1.4363082077187497, 1.4406608366455824, 1.4430758838778355, 1.4440382604965563, 1.4441870044344056], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5946913937495661}

8.574428

1

6.535987

[ [ 0.6896611617199992, 0.6896617768763836, 0.6896727851060462, 0.6897251071881288, 0.6898733624566251, 0.690194832086972, 0.690787162132927, 0.6917653773689518, 0.693258488463474, 0.695405865170763, 0.6983534938773833, 0.7022502068254677, 0.7072439509029703, 0.7134781508727769, 0.7210882127398388, 0.7301982062329262, 0.7409177602931845, 0.753339201516592, 0.7675349623713335, 0.7835552834906563, 0.8014262322804468, 0.8211480583753128, 0.8426939050531069, 0.8660088945212012, 0.8910096039781541, 0.9175839485016611, 0.945591486095475, 0.9748641596278902, 1.0052074899007901, 1.0364022336936136, 1.0682065203271747, 1.1003584800879849, 1.132579377748617, 1.16457726442234, 1.1960511611155265, 1.2266957876117197, 1.2562068507706448, 1.2842869070040235, 1.31065181467272, 1.3350377935502844, 1.357209110493184, 1.3769664133314155, 1.3941557392167396, 1.4086782300621923, 1.4205005977925578, 1.4296663988986955, 1.4363082077187497, 1.4406608366455824, 1.4430758838778355, 1.4440382604965563, 1.4441870044344056 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.004521943261912074, -0.2585862658272549, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.594691

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

D52VeT2F7qKzaK9cLNfiyqG

null

false

null

false

DZ8Uk8MBRorWg5dn6BrNds5

Djs6CnB43Tt4sXzMjpWdYyA

{"qi": 0.009098425772003479, "vacuum_well": -0.1077785152299829, "aspect_ratio": 9.930812374913733, "max_elongation": 5.676159465740886, "average_triangularity": -0.03905334426621693, "axis_magnetic_mirror_ratio": 0.26311075333297723, "edge_magnetic_mirror_ratio": 0.3057826000727714, "aspect_ratio_over_edge_rotational_transform": 8.685056790653599, "flux_compression_in_regions_of_bad_curvature": 1.5030860005953606, "axis_rotational_transform_over_n_field_periods": 0.2656383356647953, "edge_rotational_transform_over_n_field_periods": 0.22868733306616376, "minimum_normalized_magnetic_gradient_scale_length": 11.811246113064959}

9.930812

8.685057

0.088655

0.263111

0.265638

0.305783

0.228687

1.503086

5.676159

11.811246

0.009098

-0.107779

{"r_cos":[[0.0,0.0,0.0,0.0,0.9979201481866912,0.02604147074811317,-0.002363721106602729,-0.0003572123234275044,-0.0002549288983763826],[0.0003586274514633706,0.0008882073756623018,-0.015747801771218047,-0.0649432943259837,0.1376945932676621,-0.020872577518167186,0.0008572877848384442,0.0005693660552816349,0.00014676884238398416],[-0.00031391264424370077,0.00045836887254768353,0.009535154999166965,0.022015513431843204,-0.009861912497899836,0.007252015200435148,-0.00376630493859264,0.0008410731868355993,1.8916048852874877e-6],[-0.00016193669274065274,-0.0001726142624217342,-0.0008116923692553135,0.0012330209293584372,0.002589434755906959,-0.0020713707196762013,0.0003627703316799482,0.00018557113811129472,-0.000030423322527694456],[-0.00010059564398979748,-0.0007601574899796333,-0.0012895198502086255,0.0004753439296471775,0.0012508253456604463,-0.0007165711272812673,0.00015319552957571625,-0.000018966938711691313,0.000013398440737187573]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.042966974163769725,0.0016268384275108638,0.001666153755283264,0.000011128092176168617],[0.00011192417508314481,-0.00022836164135511185,-0.010934415472085901,-0.08566565949435223,-0.12347023303218269,0.026284894651547798,-0.002568099818186332,0.00013830087331431895,-0.00017536273883761748],[-0.00007363931448122127,0.001322806025913623,0.010078465799560593,0.006324716440310666,-0.03162387299004016,0.011058625399305395,-0.0008196974314458516,0.00015163337984076852,-0.0001554593621609569],[-0.000015284911016575144,0.00015569124273237634,0.0025128231719420114,0.0053619386753746955,-0.0064895830342928265,0.0016887336562359683,0.00011648896196660803,-0.00016365746147055672,-0.000010610647907344505],[-0.00008104743492636413,-0.0003120189252910936,-0.0006041151648716861,-0.0004105401722820139,-0.0003864173191801617,0.0002322277482043909,-0.000027802738427175854,9.573797462428583e-8,-0.000030309824898186715]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9979201481866912, 0.02604147074811317, -0.002363721106602729, -0.0003572123234275044, -0.0002549288983763826 ], [ 0.0003586274514633706, 0.0008882073756623018, -0.015747801771218047, -0.0649432943259837, 0.1376945932676621, -0.020872577518167186, 0.0008572877848384442, 0.0005693660552816349, 0.00014676884238398416 ], [ -0.00031391264424370077, 0.00045836887254768353, 0.009535154999166965, 0.022015513431843204, -0.009861912497899836, 0.007252015200435148, -0.00376630493859264, 0.0008410731868355993, 0.0000018916048852874877 ], [ -0.00016193669274065274, -0.0001726142624217342, -0.0008116923692553135, 0.0012330209293584372, 0.002589434755906959, -0.0020713707196762013, 0.0003627703316799482, 0.00018557113811129472, -0.000030423322527694456 ], [ -0.00010059564398979748, -0.0007601574899796333, -0.0012895198502086255, 0.0004753439296471775, 0.0012508253456604463, -0.0007165711272812673, 0.00015319552957571625, -0.000018966938711691313, 0.000013398440737187573 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.042966974163769725, 0.0016268384275108638, 0.001666153755283264, 0.000011128092176168617 ], [ 0.00011192417508314481, -0.00022836164135511185, -0.010934415472085901, -0.08566565949435223, -0.12347023303218269, 0.026284894651547798, -0.002568099818186332, 0.00013830087331431895, -0.00017536273883761748 ], [ -0.00007363931448122127, 0.001322806025913623, 0.010078465799560593, 0.006324716440310666, -0.03162387299004016, 0.011058625399305395, -0.0008196974314458516, 0.00015163337984076852, -0.0001554593621609569 ], [ -0.000015284911016575144, 0.00015569124273237634, 0.0025128231719420114, 0.0053619386753746955, -0.0064895830342928265, 0.0016887336562359683, 0.00011648896196660803, -0.00016365746147055672, -0.000010610647907344505 ], [ -0.00008104743492636413, -0.0003120189252910936, -0.0006041151648716861, -0.0004105401722820139, -0.0003864173191801617, 0.0002322277482043909, -0.000027802738427175854, 9.573797462428583e-8, -0.000030309824898186715 ] ]

D92KRdFw48eHnyohtRUF2Wx

{"aspect_ratio": 10.822799126589882, "major_radius": 1.0, "max_elongation": 5.518703566293153, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0006482660784681453, 0.12162394644213875, 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": [[0.7517707392208732, 0.7517707945687714, 0.7517729297400961, 0.7517889947318265, 0.7518510760157908, 0.7520197546189505, 0.7523888287165378, 0.7530862868466633, 0.7542717953538556, 0.7561312088125, 0.758868736540382, 0.7626974492375725, 0.7678288123411011, 0.7744619020280563, 0.7827729059715685, 0.7929054410684508, 0.8049621397120971, 0.8189978688819901, 0.8350148556362429, 0.8529599012023014, 0.8727237759918198, 0.8941428014013293, 0.9170025428081455, 0.9410434631142064, 0.9659683187248207, 0.9914510210100332, 1.017146636978473, 1.0427021638668603, 1.0677676842675952, 1.0920074918296117, 1.1151107729185932, 1.136801437255392, 1.1568467107084024, 1.175064136234125, 1.1913266744669224, 1.2055656535600112, 1.2177713883463532, 1.2279913713367465, 1.2363260319364882, 1.2429221647520226, 1.2479642419055983, 1.2516639464464028, 1.2542483923190881, 1.2559476283181938, 1.256982155407967, 1.257551313554147, 1.2578235080583915, 1.2579293339494524, 1.257958698649541, 1.257962994530271, 1.2579631241073694], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.300800751118985}

10.822799

1

5.518704

[ [ 0.7517707392208732, 0.7517707945687714, 0.7517729297400961, 0.7517889947318265, 0.7518510760157908, 0.7520197546189505, 0.7523888287165378, 0.7530862868466633, 0.7542717953538556, 0.7561312088125, 0.758868736540382, 0.7626974492375725, 0.7678288123411011, 0.7744619020280563, 0.7827729059715685, 0.7929054410684508, 0.8049621397120971, 0.8189978688819901, 0.8350148556362429, 0.8529599012023014, 0.8727237759918198, 0.8941428014013293, 0.9170025428081455, 0.9410434631142064, 0.9659683187248207, 0.9914510210100332, 1.017146636978473, 1.0427021638668603, 1.0677676842675952, 1.0920074918296117, 1.1151107729185932, 1.136801437255392, 1.1568467107084024, 1.175064136234125, 1.1913266744669224, 1.2055656535600112, 1.2177713883463532, 1.2279913713367465, 1.2363260319364882, 1.2429221647520226, 1.2479642419055983, 1.2516639464464028, 1.2542483923190881, 1.2559476283181938, 1.256982155407967, 1.257551313554147, 1.2578235080583915, 1.2579293339494524, 1.257958698649541, 1.257962994530271, 1.2579631241073694 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0006482660784681453, 0.12162394644213875, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.300801

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

DPYq5t2Aam8XzvYYSyrYjHg

null

false

null

false

DgY8bkzhpmenEfmjJFqmjnw

DeZLmgSvVQyEm3kpLnua3cu

{"qi": 0.0008314712583858726, "vacuum_well": -0.0976422106057128, "aspect_ratio": 8.050682951612208, "max_elongation": 7.274033924053211, "average_triangularity": -0.5190500029064599, "axis_magnetic_mirror_ratio": 0.39435757668251825, "edge_magnetic_mirror_ratio": 0.4143913854563716, "aspect_ratio_over_edge_rotational_transform": 30.17617475588167, "flux_compression_in_regions_of_bad_curvature": 1.8801568331380185, "axis_rotational_transform_over_n_field_periods": 0.16278141290673698, "edge_rotational_transform_over_n_field_periods": 0.13339468996220338, "minimum_normalized_magnetic_gradient_scale_length": 3.4086780910402914}

8.050683

30.176175

-0.368121

0.394358

0.162781

0.414391

0.133395

1.880157

7.274034

3.408678

0.000831

-0.097642

{"r_cos":[[0.0,0.0,0.0,0.0,0.9982937019766794,-0.015752351516525806,-0.07230763083743497,0.004354093625704271,0.002256779039679765],[-0.005536269386866546,-0.006916712512947439,-0.014406780468661817,-0.05140763445191124,0.18924384332043204,-0.011325759375712192,-0.020314261822323834,0.004695525668176309,-0.002254763775733041],[-0.00018677963681355077,-0.0026572269551063256,-0.009718121055198817,-0.0004985927600714302,0.0012225300694717282,0.005398137245053213,-0.008198074098485657,0.003917856129611843,0.00010481101477196585],[0.00013113313591353804,-0.0005730847504000048,0.0008401938064882706,-0.00212424056838378,0.004666583791229841,0.0004720501959568673,-0.000524823124910097,0.0005051272171085586,-0.00009273968569443353],[0.00017249521246823693,0.000047362211643680024,-0.00017194381450304615,0.00002097670111911743,-0.00045837080897904656,0.00046926260027932865,-0.00012056371968513023,-0.00012163033389376307,0.00007668059872356243]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.6267354264945532,0.05539017488129364,0.003986223952170099,0.0014400591175092164],[0.003146323826654003,-0.006129266168666214,-0.020208606530758153,-0.08796160650330029,-0.10333399934593429,0.0900610693312745,-0.00638803587478785,0.008824456946397923,-0.004211769135141433],[-0.002082969178761632,-0.001051781654117139,-0.014199802104405947,0.004844010038792217,-0.006547891648535933,-0.005427229645028002,-0.0061196259137930205,0.0009615293529931513,-0.00038993984766190677],[-0.00025598860895490285,-0.0016299183759378895,-0.0013701871588691265,0.0020344087464464564,-0.007436457689909124,0.006885202682101622,-0.0048520187719717596,0.002879851629187505,-0.0008520014598278697],[0.000035656727817738165,0.0005015245058835421,0.00020981017970880518,-0.00013290044789457026,-0.000020005306827291895,-0.00025191381403214826,0.00016513521124290485,-0.000052438137637453764,-0.00009162418331442592]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9982937019766794, -0.015752351516525806, -0.07230763083743497, 0.004354093625704271, 0.002256779039679765 ], [ -0.005536269386866546, -0.006916712512947439, -0.014406780468661817, -0.05140763445191124, 0.18924384332043204, -0.011325759375712192, -0.020314261822323834, 0.004695525668176309, -0.002254763775733041 ], [ -0.00018677963681355077, -0.0026572269551063256, -0.009718121055198817, -0.0004985927600714302, 0.0012225300694717282, 0.005398137245053213, -0.008198074098485657, 0.003917856129611843, 0.00010481101477196585 ], [ 0.00013113313591353804, -0.0005730847504000048, 0.0008401938064882706, -0.00212424056838378, 0.004666583791229841, 0.0004720501959568673, -0.000524823124910097, 0.0005051272171085586, -0.00009273968569443353 ], [ 0.00017249521246823693, 0.000047362211643680024, -0.00017194381450304615, 0.00002097670111911743, -0.00045837080897904656, 0.00046926260027932865, -0.00012056371968513023, -0.00012163033389376307, 0.00007668059872356243 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.6267354264945532, 0.05539017488129364, 0.003986223952170099, 0.0014400591175092164 ], [ 0.003146323826654003, -0.006129266168666214, -0.020208606530758153, -0.08796160650330029, -0.10333399934593429, 0.0900610693312745, -0.00638803587478785, 0.008824456946397923, -0.004211769135141433 ], [ -0.002082969178761632, -0.001051781654117139, -0.014199802104405947, 0.004844010038792217, -0.006547891648535933, -0.005427229645028002, -0.0061196259137930205, 0.0009615293529931513, -0.00038993984766190677 ], [ -0.00025598860895490285, -0.0016299183759378895, -0.0013701871588691265, 0.0020344087464464564, -0.007436457689909124, 0.006885202682101622, -0.0048520187719717596, 0.002879851629187505, -0.0008520014598278697 ], [ 0.000035656727817738165, 0.0005015245058835421, 0.00020981017970880518, -0.00013290044789457026, -0.000020005306827291895, -0.00025191381403214826, 0.00016513521124290485, -0.000052438137637453764, -0.00009162418331442592 ] ]

DSKZu9sTkRxGcxni7Zvf33P

{"aspect_ratio": 8.035379501786693, "major_radius": 1.0, "max_elongation": 6.96514539930811, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.03293031117694688, -0.11778792199234082, 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": [[0.6241398235851194, 0.6241423530616849, 0.6241792228448774, 0.6243328937290619, 0.6247288763771355, 0.6255256268316074, 0.6269050511135233, 0.6290637082921751, 0.6322047432990455, 0.6365305602693423, 0.642236237375021, 0.6495036785204734, 0.6584964936728098, 0.6693555970490545, 0.6821955104270546, 0.6971013572426628, 0.7141265317425963, 0.7332910261934436, 0.7545803979450212, 0.7779453569698992, 0.803301953319247, 0.8305323427226065, 0.8594861072928934, 0.8899821069560032, 0.9218108357843977, 0.9547372558517933, 0.9885040795143079, 1.022835469130463, 1.057441121120538, 1.0920206988889496, 1.1262685764347609, 1.1598788513835308, 1.192550582597382, 1.2239932033410805, 1.2539320560448575, 1.2821139888018034, 1.3083129465863106, 1.3323354813879629, 1.3540260944662013, 1.3732723099366289, 1.390009360691947, 1.4042243433753723, 1.4159596657769749, 1.4253155626180676, 1.4324513854110075, 1.4375852623355527, 1.4409915409416207, 1.4429950927804702, 1.4439608706996467, 1.4442753867853915, 1.4443104204806199], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.33873184002197376}

8.03538

1

6.965145

[ [ 0.6241398235851194, 0.6241423530616849, 0.6241792228448774, 0.6243328937290619, 0.6247288763771355, 0.6255256268316074, 0.6269050511135233, 0.6290637082921751, 0.6322047432990455, 0.6365305602693423, 0.642236237375021, 0.6495036785204734, 0.6584964936728098, 0.6693555970490545, 0.6821955104270546, 0.6971013572426628, 0.7141265317425963, 0.7332910261934436, 0.7545803979450212, 0.7779453569698992, 0.803301953319247, 0.8305323427226065, 0.8594861072928934, 0.8899821069560032, 0.9218108357843977, 0.9547372558517933, 0.9885040795143079, 1.022835469130463, 1.057441121120538, 1.0920206988889496, 1.1262685764347609, 1.1598788513835308, 1.192550582597382, 1.2239932033410805, 1.2539320560448575, 1.2821139888018034, 1.3083129465863106, 1.3323354813879629, 1.3540260944662013, 1.3732723099366289, 1.390009360691947, 1.4042243433753723, 1.4159596657769749, 1.4253155626180676, 1.4324513854110075, 1.4375852623355527, 1.4409915409416207, 1.4429950927804702, 1.4439608706996467, 1.4442753867853915, 1.4443104204806199 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.03293031117694688, -0.11778792199234082, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.338732

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

DhzHpfZBdhyBmxx5grev5pD

null

false

null

false

DY2YWxxrrgyzdmj2FrsTpHU

DceeotMUjXBd9iVCPwvd7vw

{"qi": 0.005941108758381136, "vacuum_well": -0.05573992243165854, "aspect_ratio": 9.117299190327437, "max_elongation": 5.922766094466893, "average_triangularity": 0.06688334132479681, "axis_magnetic_mirror_ratio": 0.20547242068412525, "edge_magnetic_mirror_ratio": 0.31993928438402514, "aspect_ratio_over_edge_rotational_transform": 7.6290549050098795, "flux_compression_in_regions_of_bad_curvature": 1.25985173870576, "axis_rotational_transform_over_n_field_periods": 0.23519743652450992, "edge_rotational_transform_over_n_field_periods": 0.23901516777236065, "minimum_normalized_magnetic_gradient_scale_length": 7.3608225731978045}

9.117299

7.629055

0.233777

0.205472

0.235197

0.319939

0.239015

1.259852

5.922766

7.360823

0.005941

-0.05574

{"r_cos":[[0.0,0.0,0.0,0.0,0.9967226957965454,-0.01944624518511491,-0.01352808923467765,0.0022142899878303496,-0.000025635652826076164],[0.0008779548286880058,0.00009652007383855477,-0.020174383591437986,-0.06094480916301359,0.16627008089191941,-0.015948115563218734,-0.0035704207558142475,0.0005153278071636988,-0.00005574260782084564],[0.0008140198287227298,0.004719439908440592,0.015336786351776892,0.02240706623179222,-0.01876173507043214,0.00874744291249857,-0.0026035420426773637,-0.00009408030720961091,-0.00005088647588090384],[-0.00008016856033167008,0.0006766929854570759,0.00304079066339368,-0.005070325057511884,-0.0011304128863714328,0.0018151468885529082,0.00004009258381879239,0.00037568405715873796,-0.00008839943324890727],[-2.650315135454119e-6,0.0000317977399942966,-0.0012034387880867606,0.00018867524737591757,-0.0002321215482001676,0.0004322666576023585,-0.000034354554923345885,0.00002003896308578625,0.000014590591132733076]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1187488178071926,0.014451033633085267,-0.001479900445533094,0.0001750588674667014],[0.00009651504847446586,0.00015375415735247456,-0.008616105504680956,-0.06723225183559614,-0.09713930477534649,0.03192630534680558,-0.005942841377349905,0.0019692772952411937,-0.0003156600246201893],[0.000595225837000562,0.002673812191727091,0.01047907343081934,-0.0025425638448307417,-0.010504129122527142,0.0031138697097433626,0.00015083614828563432,0.0005598111547123175,-0.00010407430042705352],[-0.00015399047053280964,-0.0005915605379147465,0.0006499127999494709,0.00917435718102724,-0.00038597794064650575,-0.0027251146152783975,0.00011039598423089465,-0.00018978518850877672,0.00002826546692895622],[-0.00016960115749649557,-0.00017053803799557245,0.0003041897210311619,-0.00009537121393762604,-0.0000252793254968516,-0.000243238821046735,0.00008296566972662545,-0.00007513723891237903,0.00005064179348574383]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9967226957965454, -0.01944624518511491, -0.01352808923467765, 0.0022142899878303496, -0.000025635652826076164 ], [ 0.0008779548286880058, 0.00009652007383855477, -0.020174383591437986, -0.06094480916301359, 0.16627008089191941, -0.015948115563218734, -0.0035704207558142475, 0.0005153278071636988, -0.00005574260782084564 ], [ 0.0008140198287227298, 0.004719439908440592, 0.015336786351776892, 0.02240706623179222, -0.01876173507043214, 0.00874744291249857, -0.0026035420426773637, -0.00009408030720961091, -0.00005088647588090384 ], [ -0.00008016856033167008, 0.0006766929854570759, 0.00304079066339368, -0.005070325057511884, -0.0011304128863714328, 0.0018151468885529082, 0.00004009258381879239, 0.00037568405715873796, -0.00008839943324890727 ], [ -0.000002650315135454119, 0.0000317977399942966, -0.0012034387880867606, 0.00018867524737591757, -0.0002321215482001676, 0.0004322666576023585, -0.000034354554923345885, 0.00002003896308578625, 0.000014590591132733076 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1187488178071926, 0.014451033633085267, -0.001479900445533094, 0.0001750588674667014 ], [ 0.00009651504847446586, 0.00015375415735247456, -0.008616105504680956, -0.06723225183559614, -0.09713930477534649, 0.03192630534680558, -0.005942841377349905, 0.0019692772952411937, -0.0003156600246201893 ], [ 0.000595225837000562, 0.002673812191727091, 0.01047907343081934, -0.0025425638448307417, -0.010504129122527142, 0.0031138697097433626, 0.00015083614828563432, 0.0005598111547123175, -0.00010407430042705352 ], [ -0.00015399047053280964, -0.0005915605379147465, 0.0006499127999494709, 0.00917435718102724, -0.00038597794064650575, -0.0027251146152783975, 0.00011039598423089465, -0.00018978518850877672, 0.00002826546692895622 ], [ -0.00016960115749649557, -0.00017053803799557245, 0.0003041897210311619, -0.00009537121393762604, -0.0000252793254968516, -0.000243238821046735, 0.00008296566972662545, -0.00007513723891237903, 0.00005064179348574383 ] ]

DZ9Ey5VheFpzxvzzJctvbk9

{"aspect_ratio": 8.562999632084168, "major_radius": 1.0, "max_elongation": 5.184282688722208, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.23845336562310002, -0.24919027602402608, 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": [[0.7806648856057048, 0.7806660258487954, 0.7806858697473803, 0.7807774741566156, 0.7810293981920736, 0.781559304032569, 0.7825059456138459, 0.7840207747185791, 0.7862597645099298, 0.7893757940161283, 0.793511801746304, 0.7987948345239937, 0.8053310631193071, 0.8132017977264951, 0.8224605078245176, 0.8331308291479207, 0.8452055233924777, 0.858646342626668, 0.8733847393465342, 0.8893233541310583, 0.9063382055297258, 0.9242815008571948, 0.9429849817727456, 0.9622637147298703, 0.9819202334792956, 1.0017489387123517, 1.0215406585798452, 1.0410872731724798, 1.0601863060765422, 1.0786453868116417, 1.0962864893180306, 1.1129498537053677, 1.128497501233334, 1.1428162560143513, 1.1558201912764132, 1.167452423290565, 1.1776861823747158, 1.1865250978962756, 1.1940026431298383, 1.2001806964812811, 1.205147188379557, 1.2090128186478748, 1.2119068482507003, 1.21397199326094, 1.2153584797335204, 1.2162173592817012, 1.216693242528022, 1.2169166928811657, 1.2169966617592718, 1.2170136053036633, 1.2170145455048194], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.082050795088978}

8.563

1

5.184283

[ [ 0.7806648856057048, 0.7806660258487954, 0.7806858697473803, 0.7807774741566156, 0.7810293981920736, 0.781559304032569, 0.7825059456138459, 0.7840207747185791, 0.7862597645099298, 0.7893757940161283, 0.793511801746304, 0.7987948345239937, 0.8053310631193071, 0.8132017977264951, 0.8224605078245176, 0.8331308291479207, 0.8452055233924777, 0.858646342626668, 0.8733847393465342, 0.8893233541310583, 0.9063382055297258, 0.9242815008571948, 0.9429849817727456, 0.9622637147298703, 0.9819202334792956, 1.0017489387123517, 1.0215406585798452, 1.0410872731724798, 1.0601863060765422, 1.0786453868116417, 1.0962864893180306, 1.1129498537053677, 1.128497501233334, 1.1428162560143513, 1.1558201912764132, 1.167452423290565, 1.1776861823747158, 1.1865250978962756, 1.1940026431298383, 1.2001806964812811, 1.205147188379557, 1.2090128186478748, 1.2119068482507003, 1.21397199326094, 1.2153584797335204, 1.2162173592817012, 1.216693242528022, 1.2169166928811657, 1.2169966617592718, 1.2170136053036633, 1.2170145455048194 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.23845336562310002, -0.24919027602402608, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.082051

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

Dh9phdNsiFjRTArdDpLabtq

null

false

null

false

DJgsD8PWX26RxZYRSAqUBSY

DfGib9f3R5WBxYDDWoqkTsv

{"qi": 0.09454882370813993, "vacuum_well": -0.30225307046759964, "aspect_ratio": 9.714385570209869, "max_elongation": 5.472469111283422, "average_triangularity": -0.5032500135089562, "axis_magnetic_mirror_ratio": 0.3005109395215447, "edge_magnetic_mirror_ratio": 0.4801212184337166, "aspect_ratio_over_edge_rotational_transform": 12.79012444960155, "flux_compression_in_regions_of_bad_curvature": 0.9769342891730242, "axis_rotational_transform_over_n_field_periods": 0.3289686746811885, "edge_rotational_transform_over_n_field_periods": 0.1898805912422631, "minimum_normalized_magnetic_gradient_scale_length": 4.762890351018631}

9.714386

12.790124

-0.681956

0.300511

0.328969

0.480121

0.189881

0.976934

5.472469

4.76289

0.094549

-0.302253

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.025638653715504434,-0.009554091547739178,0.006180975614244,-0.001473223608040098],[0.0019304989743361514,-0.010881608500321042,0.04884399344507209,-0.04553778631529698,0.1170106817527814,-0.0036147645902318837,-0.0017526064917892346,-0.0005995618048837787,0.0007338974656028843],[-0.00308543166002106,0.00838366827574535,-0.03115737668852607,0.0018565460112787628,0.00370162175649449,0.002253731153469049,-0.0018422902828097425,0.0002449489854221389,0.00010891425200977253],[0.00013076827509525757,-0.001679912429207535,0.0049428598075574835,-0.0007675604491320891,0.007900266859055774,0.0017719033001231711,-0.0009220157064335835,-0.0002986377867921124,0.00016122453302550678],[0.0004566996320715921,0.00048409956079565946,-0.0016808009406915315,-0.000800585727882004,0.00193370838907408,0.0008012581707660791,-0.0001942130711018405,-0.000017965201533790112,0.000035465056144423]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.05240547931635961,0.016239501166007714,-0.007080082060732333,0.0011078820496719464],[0.0017715789598233109,-0.01661947657895691,0.04724789657864351,-0.0007740901814886729,-0.12990511106128555,0.019754999479527167,0.002696119219285191,0.0002883742957084084,-0.0009414129062228758],[-0.00321589210603746,0.011636983508573747,-0.02708936949139487,-0.009549393999985934,-0.006079700655075445,0.004661991615018723,0.0026362658175636874,-0.0008791720740966222,-0.00004275248716441044],[-0.0006266374698542054,0.001063429648162073,-0.0006777258155794715,0.005673049865967477,-0.009537410501217064,0.0010907886328386136,0.0018579166003635593,-0.00007055349280895911,-0.0002488773972161677],[0.000981183007630325,-0.0018514194809843001,0.0006833319100164789,0.0005860593653057475,-0.0015881892236960576,0.00015551386405622728,0.0002167430571738079,-0.00009902116916463502,-0.000048064072077493665]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.025638653715504434, -0.009554091547739178, 0.006180975614244, -0.001473223608040098 ], [ 0.0019304989743361514, -0.010881608500321042, 0.04884399344507209, -0.04553778631529698, 0.1170106817527814, -0.0036147645902318837, -0.0017526064917892346, -0.0005995618048837787, 0.0007338974656028843 ], [ -0.00308543166002106, 0.00838366827574535, -0.03115737668852607, 0.0018565460112787628, 0.00370162175649449, 0.002253731153469049, -0.0018422902828097425, 0.0002449489854221389, 0.00010891425200977253 ], [ 0.00013076827509525757, -0.001679912429207535, 0.0049428598075574835, -0.0007675604491320891, 0.007900266859055774, 0.0017719033001231711, -0.0009220157064335835, -0.0002986377867921124, 0.00016122453302550678 ], [ 0.0004566996320715921, 0.00048409956079565946, -0.0016808009406915315, -0.000800585727882004, 0.00193370838907408, 0.0008012581707660791, -0.0001942130711018405, -0.000017965201533790112, 0.000035465056144423 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.05240547931635961, 0.016239501166007714, -0.007080082060732333, 0.0011078820496719464 ], [ 0.0017715789598233109, -0.01661947657895691, 0.04724789657864351, -0.0007740901814886729, -0.12990511106128555, 0.019754999479527167, 0.002696119219285191, 0.0002883742957084084, -0.0009414129062228758 ], [ -0.00321589210603746, 0.011636983508573747, -0.02708936949139487, -0.009549393999985934, -0.006079700655075445, 0.004661991615018723, 0.0026362658175636874, -0.0008791720740966222, -0.00004275248716441044 ], [ -0.0006266374698542054, 0.001063429648162073, -0.0006777258155794715, 0.005673049865967477, -0.009537410501217064, 0.0010907886328386136, 0.0018579166003635593, -0.00007055349280895911, -0.0002488773972161677 ], [ 0.000981183007630325, -0.0018514194809843001, 0.0006833319100164789, 0.0005860593653057475, -0.0015881892236960576, 0.00015551386405622728, 0.0002167430571738079, -0.00009902116916463502, -0.000048064072077493665 ] ]

Dixc7vj6Egujin7AvZaMWse

{"aspect_ratio": 10.900111768133634, "major_radius": 1.0, "max_elongation": 6.570277763398559, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05048225324496557, -0.23267928355052153, 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": [[0.6396968472408084, 0.6396969390577506, 0.6397005532586674, 0.6397279944910998, 0.6398344362558938, 0.6401238302860388, 0.6407561504894937, 0.6419476706508933, 0.6439649231485229, 0.6471134569499706, 0.6517227305028587, 0.6581285376198227, 0.6666543261874021, 0.6775926641678355, 0.691187957693483, 0.7076213484318918, 0.726998524070677, 0.7493409761795455, 0.7745810412859877, 0.8025608696786162, 0.8330352869826061, 0.8656783497472095, 0.9000932511776738, 0.9358251091021303, 0.9723760670806649, 1.0092220625189348, 1.0458305635575424, 1.0816785497563304, 1.1162700101603857, 1.149152255814772, 1.179930391402558, 1.2082793612556904, 1.2339530769928717, 1.2567902455475841, 1.2767166450330694, 1.2937437389898698, 1.3079636738504077, 1.3195408661942407, 1.3287005512361612, 1.3357148269941124, 1.340886883934446, 1.344534250824202, 1.346972006041978, 1.348496990112852, 1.3493740979485715, 1.3498257132536078, 1.3500252530551347, 1.350095589655206, 1.3501127683322542, 1.3501148691689109, 1.3501149166307616], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1223739632700183}

10.900112

1

6.570278

[ [ 0.6396968472408084, 0.6396969390577506, 0.6397005532586674, 0.6397279944910998, 0.6398344362558938, 0.6401238302860388, 0.6407561504894937, 0.6419476706508933, 0.6439649231485229, 0.6471134569499706, 0.6517227305028587, 0.6581285376198227, 0.6666543261874021, 0.6775926641678355, 0.691187957693483, 0.7076213484318918, 0.726998524070677, 0.7493409761795455, 0.7745810412859877, 0.8025608696786162, 0.8330352869826061, 0.8656783497472095, 0.9000932511776738, 0.9358251091021303, 0.9723760670806649, 1.0092220625189348, 1.0458305635575424, 1.0816785497563304, 1.1162700101603857, 1.149152255814772, 1.179930391402558, 1.2082793612556904, 1.2339530769928717, 1.2567902455475841, 1.2767166450330694, 1.2937437389898698, 1.3079636738504077, 1.3195408661942407, 1.3287005512361612, 1.3357148269941124, 1.340886883934446, 1.344534250824202, 1.346972006041978, 1.348496990112852, 1.3493740979485715, 1.3498257132536078, 1.3500252530551347, 1.350095589655206, 1.3501127683322542, 1.3501148691689109, 1.3501149166307616 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05048225324496557, -0.23267928355052153, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.122374

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

DjDWJdWtLU2qWzLMkyU6Rmx

null

false

null

false

DTpbaxkStGrpGTvLWqRGsue

De5fo4ngQUNMr47VVK3oFBf

{"qi": 0.02245453437973591, "vacuum_well": -0.12776416715179775, "aspect_ratio": 10.281032723099738, "max_elongation": 4.341094868661003, "average_triangularity": -0.5571830635220343, "axis_magnetic_mirror_ratio": 0.11193463167015087, "edge_magnetic_mirror_ratio": 0.17716260660446032, "aspect_ratio_over_edge_rotational_transform": 21.3348571125616, "flux_compression_in_regions_of_bad_curvature": 1.1174723914421487, "axis_rotational_transform_over_n_field_periods": 0.21523436684081693, "edge_rotational_transform_over_n_field_periods": 0.24094449446878274, "minimum_normalized_magnetic_gradient_scale_length": 5.441439890257162}

10.281033

21.334857

-0.777097

0.111935

0.215234

0.177163

0.240944

1.117472

4.341095

5.44144

0.022455

-0.127764

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.00849523533812092,-0.04838611946339013,0.003289474227227408,0.0008593515920663347],[0.00048670919297360714,-0.013540133980812212,0.042962885082020605,-0.02527648501647011,0.08500342438766181,-0.013140471119611486,-0.0062585202571374225,0.0006780399972577582,0.00033365353770208625],[-0.0009577369371356549,0.006312944312953125,-0.009506062823833806,-0.003328244968710485,-0.007006590533814627,0.0020958532856926904,-0.004191721129509723,0.0003876677342722042,0.00007703416663857671],[0.0004928147687369516,-0.0007398227073717328,0.001714137709750592,-0.0017399164133167582,0.002073968401877104,0.0006540210594541009,-0.0011836145535677881,-0.00003592324349484884,0.0003471019807719616],[-0.00016151296598301384,0.00015240365697422801,0.0001630842914829527,-0.0007980185645669853,0.00003828693012952398,0.0001890896981059818,-0.000011714710352587424,0.00002528465076446075,0.00005610250026025953]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.05293236726720442,0.03496394336201057,-0.005023711580057184,-0.0008756377329305031],[0.00006474310979313934,-0.013021536657027748,0.04657831715534724,-0.01775768591142053,-0.1505775891287161,0.0031189253890783553,0.00413626600436905,-0.000254172519002116,-0.00026150450066436036],[-0.0019611771319230017,0.013098086874748048,-0.016666676510540428,-0.008515994021434483,-0.015292474795772977,0.00033009346761995323,0.005472278073099952,0.00006426193252073893,0.0002243594287649319],[0.0007826242561723752,-0.002553505834992836,0.0003891364133299733,0.004761904204940051,-0.01178199580868182,-0.0006524843774478395,0.00258774184940845,0.00008025508324356351,-0.0003104788865665976],[-0.00008922558199212448,-0.0002794797587853159,0.0007260352546580572,0.000016417341889015,-0.00157477256208014,0.00017564481564971894,0.0005598319121871085,-0.0000926889435350164,-0.00007910680504760585]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.00849523533812092, -0.04838611946339013, 0.003289474227227408, 0.0008593515920663347 ], [ 0.00048670919297360714, -0.013540133980812212, 0.042962885082020605, -0.02527648501647011, 0.08500342438766181, -0.013140471119611486, -0.0062585202571374225, 0.0006780399972577582, 0.00033365353770208625 ], [ -0.0009577369371356549, 0.006312944312953125, -0.009506062823833806, -0.003328244968710485, -0.007006590533814627, 0.0020958532856926904, -0.004191721129509723, 0.0003876677342722042, 0.00007703416663857671 ], [ 0.0004928147687369516, -0.0007398227073717328, 0.001714137709750592, -0.0017399164133167582, 0.002073968401877104, 0.0006540210594541009, -0.0011836145535677881, -0.00003592324349484884, 0.0003471019807719616 ], [ -0.00016151296598301384, 0.00015240365697422801, 0.0001630842914829527, -0.0007980185645669853, 0.00003828693012952398, 0.0001890896981059818, -0.000011714710352587424, 0.00002528465076446075, 0.00005610250026025953 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.05293236726720442, 0.03496394336201057, -0.005023711580057184, -0.0008756377329305031 ], [ 0.00006474310979313934, -0.013021536657027748, 0.04657831715534724, -0.01775768591142053, -0.1505775891287161, 0.0031189253890783553, 0.00413626600436905, -0.000254172519002116, -0.00026150450066436036 ], [ -0.0019611771319230017, 0.013098086874748048, -0.016666676510540428, -0.008515994021434483, -0.015292474795772977, 0.00033009346761995323, 0.005472278073099952, 0.00006426193252073893, 0.0002243594287649319 ], [ 0.0007826242561723752, -0.002553505834992836, 0.0003891364133299733, 0.004761904204940051, -0.01178199580868182, -0.0006524843774478395, 0.00258774184940845, 0.00008025508324356351, -0.0003104788865665976 ], [ -0.00008922558199212448, -0.0002794797587853159, 0.0007260352546580572, 0.000016417341889015, -0.00157477256208014, 0.00017564481564971894, 0.0005598319121871085, -0.0000926889435350164, -0.00007910680504760585 ] ]

DHtfsU8yjfqTNs55CiDX3a8

{"aspect_ratio": 10.863761546672993, "major_radius": 1.0, "max_elongation": 4.171498107965136, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04873663604786298, -0.10392297994877256, 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": [[0.8915800103419639, 0.8915800251065636, 0.8915806094348545, 0.8915850998336798, 0.8916027900008349, 0.8916517409798089, 0.8917607614106032, 0.8919704065434721, 0.8923329811806581, 0.8929116098617698, 0.8937784855650752, 0.8950124375436589, 0.8966959755953077, 0.8989119755646662, 0.901740171442162, 0.9052536146101435, 0.9095152517288752, 0.9145747603234512, 0.9204657660194828, 0.9272035481498152, 0.9347833215984346, 0.9431791626797533, 0.9523436259438238, 0.9622080773888709, 0.9726837479651108, 0.9836634897638947, 0.995024196187893, 1.0066298269690346, 1.0183349594170965, 1.0299887690218341, 1.0414393257812278, 1.0525380776859845, 1.0631443799719626, 1.0731299183984728, 1.082382867295222, 1.0908116188615553, 1.0983479196739263, 1.1049492541135515, 1.110600323122016, 1.11531348112636, 1.1191280151439098, 1.1221081792636565, 1.1243399366120332, 1.1259264119065175, 1.1269821241950762, 1.1276261565890875, 1.1279745362428066, 1.1281322586813465, 1.1281856261477565, 1.1281959517503088, 1.1281964392646304], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.45784794528048783}

10.863762

1

4.171498

[ [ 0.8915800103419639, 0.8915800251065636, 0.8915806094348545, 0.8915850998336798, 0.8916027900008349, 0.8916517409798089, 0.8917607614106032, 0.8919704065434721, 0.8923329811806581, 0.8929116098617698, 0.8937784855650752, 0.8950124375436589, 0.8966959755953077, 0.8989119755646662, 0.901740171442162, 0.9052536146101435, 0.9095152517288752, 0.9145747603234512, 0.9204657660194828, 0.9272035481498152, 0.9347833215984346, 0.9431791626797533, 0.9523436259438238, 0.9622080773888709, 0.9726837479651108, 0.9836634897638947, 0.995024196187893, 1.0066298269690346, 1.0183349594170965, 1.0299887690218341, 1.0414393257812278, 1.0525380776859845, 1.0631443799719626, 1.0731299183984728, 1.082382867295222, 1.0908116188615553, 1.0983479196739263, 1.1049492541135515, 1.110600323122016, 1.11531348112636, 1.1191280151439098, 1.1221081792636565, 1.1243399366120332, 1.1259264119065175, 1.1269821241950762, 1.1276261565890875, 1.1279745362428066, 1.1281322586813465, 1.1281856261477565, 1.1281959517503088, 1.1281964392646304 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.04873663604786298, -0.10392297994877256, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.457848

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

DNEGSEqotTA2ZY4GTfnquhL

null

false

null

false

DnAPSP3G9WbvaHksLzvjuJs

DGnFhGqvJc8WFKdyif6p6xU

{"qi": 0.008817538740910744, "vacuum_well": -0.13967184123510332, "aspect_ratio": 9.709601142341839, "max_elongation": 5.756653930016556, "average_triangularity": -0.13716900723497402, "axis_magnetic_mirror_ratio": 0.2541427899845668, "edge_magnetic_mirror_ratio": 0.3295343689226183, "aspect_ratio_over_edge_rotational_transform": 7.361121604032423, "flux_compression_in_regions_of_bad_curvature": 1.6377352241506793, "axis_rotational_transform_over_n_field_periods": 0.33683033910664484, "edge_rotational_transform_over_n_field_periods": 0.26380765499167735, "minimum_normalized_magnetic_gradient_scale_length": 9.146206022485831}

9.709601

7.361122

-0.123665

0.254143

0.33683

0.329534

0.263808

1.637735

5.756654

9.146206

0.008818

-0.139672

{"r_cos":[[0.0,0.0,0.0,0.0,0.9972138837747891,0.0083264102737541,-0.00010364392481356823,0.001676767969025066,-0.0003016396048029723],[0.0005318242047386628,0.00009661556414825609,0.0016039577360448813,-0.0840882749676425,0.12712322684501437,-0.004139168718135328,-0.0015158699727718093,0.0002196192804208184,-0.00018403083667747834],[0.0001917142982406462,-0.000304813743864735,-0.005118651500224307,0.02572795832559298,-0.00881110680653099,-0.0013652728356507594,0.0004240450953073172,0.00040470940018138386,-0.0001366414948022976],[0.000029656368522390923,0.0004577548890090664,0.00081714577789764,-0.00351106025233479,0.0007369595034207395,-0.00021424425165156758,-0.00030032304571771294,-0.00003564435489442514,0.00003351566160011389],[0.00005589519715743684,0.00006949766778310124,-0.0001710148493046069,-0.00017802884443786924,0.0004785865778142981,0.000019572610373221823,-0.00003757716192468805,3.71757878032009e-6,4.662515355050793e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.040017808018356124,0.003410842300285047,-0.0017920641339187835,0.0003390804953223286],[0.00033459077428260684,-0.0022105020580536743,0.003250570497169574,-0.07974942043771402,-0.1452774317791048,0.015773326789359395,-0.0011996480087640652,0.00016094013155904495,-0.000016042259523346356],[0.00038580192561616484,-0.0004935038277938215,0.003258463299453838,0.018951891726887916,-0.010586396318312,0.002444565749994956,0.0006162656021300855,0.000018293925669213518,0.000013491737128742265],[-0.0002627080601326115,0.0021716828540681746,-0.006875122485536312,0.006196223785963542,0.0009685830577796673,0.00037834310763500655,0.00005450147955776566,0.0002599773106992479,-0.000041326131420075726],[0.00005905325554060153,-0.00006402327919237657,0.0003540168993646491,0.0016843110648522663,-0.0014759498546541544,0.0002959401588150819,0.00010842912437703133,0.000024512328163993225,-0.000029724156514173816]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9972138837747891, 0.0083264102737541, -0.00010364392481356823, 0.001676767969025066, -0.0003016396048029723 ], [ 0.0005318242047386628, 0.00009661556414825609, 0.0016039577360448813, -0.0840882749676425, 0.12712322684501437, -0.004139168718135328, -0.0015158699727718093, 0.0002196192804208184, -0.00018403083667747834 ], [ 0.0001917142982406462, -0.000304813743864735, -0.005118651500224307, 0.02572795832559298, -0.00881110680653099, -0.0013652728356507594, 0.0004240450953073172, 0.00040470940018138386, -0.0001366414948022976 ], [ 0.000029656368522390923, 0.0004577548890090664, 0.00081714577789764, -0.00351106025233479, 0.0007369595034207395, -0.00021424425165156758, -0.00030032304571771294, -0.00003564435489442514, 0.00003351566160011389 ], [ 0.00005589519715743684, 0.00006949766778310124, -0.0001710148493046069, -0.00017802884443786924, 0.0004785865778142981, 0.000019572610373221823, -0.00003757716192468805, 0.00000371757878032009, 0.000004662515355050793 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.040017808018356124, 0.003410842300285047, -0.0017920641339187835, 0.0003390804953223286 ], [ 0.00033459077428260684, -0.0022105020580536743, 0.003250570497169574, -0.07974942043771402, -0.1452774317791048, 0.015773326789359395, -0.0011996480087640652, 0.00016094013155904495, -0.000016042259523346356 ], [ 0.00038580192561616484, -0.0004935038277938215, 0.003258463299453838, 0.018951891726887916, -0.010586396318312, 0.002444565749994956, 0.0006162656021300855, 0.000018293925669213518, 0.000013491737128742265 ], [ -0.0002627080601326115, 0.0021716828540681746, -0.006875122485536312, 0.006196223785963542, 0.0009685830577796673, 0.00037834310763500655, 0.00005450147955776566, 0.0002599773106992479, -0.000041326131420075726 ], [ 0.00005905325554060153, -0.00006402327919237657, 0.0003540168993646491, 0.0016843110648522663, -0.0014759498546541544, 0.0002959401588150819, 0.00010842912437703133, 0.000024512328163993225, -0.000029724156514173816 ] ]

DHAdsUsn2xUBa66wpAeCjah

{"aspect_ratio": 9.434332204926886, "major_radius": 1.0, "max_elongation": 5.582441860203688, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04609726288703105, -0.10641929223535729, 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": [[0.7200231765769924, 0.7200241071530701, 0.7200456765382631, 0.720163043752579, 0.7205213772372516, 0.721330293862907, 0.722848198222616, 0.7253618368808684, 0.7291644259511505, 0.7345345895337623, 0.741717592367294, 0.7509098032537688, 0.7622469142735091, 0.7757961258499838, 0.791552266063295, 0.8094376289194815, 0.8293051797619009, 0.8509446786167791, 0.8740912077300397, 0.8984355528087098, 0.9236358743018777, 0.9493301118292912, 0.9751485884331026, 1.0007263188828177, 1.025714575271991, 1.0497913212929804, 1.0726701917258596, 1.0941077638381578, 1.113908940694287, 1.1319303410509851, 1.1480816648896282, 1.162325076105228, 1.1746727128986336, 1.1851825005237235, 1.1939524987967607, 1.2011140667969888, 1.2068241681321896, 1.2112571707019844, 1.2145965137883574, 1.2170266212884382, 1.2187254317549112, 1.2198578924218408, 1.2205707243835975, 1.220988708391634, 1.2212126641775638, 1.2213191996444541, 1.2213621885291355, 1.2213757950434039, 1.2213787003174787, 1.2213789968439337, 1.2213790018945456], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.4985316522119767}

9.434332

1

5.582442

[ [ 0.7200231765769924, 0.7200241071530701, 0.7200456765382631, 0.720163043752579, 0.7205213772372516, 0.721330293862907, 0.722848198222616, 0.7253618368808684, 0.7291644259511505, 0.7345345895337623, 0.741717592367294, 0.7509098032537688, 0.7622469142735091, 0.7757961258499838, 0.791552266063295, 0.8094376289194815, 0.8293051797619009, 0.8509446786167791, 0.8740912077300397, 0.8984355528087098, 0.9236358743018777, 0.9493301118292912, 0.9751485884331026, 1.0007263188828177, 1.025714575271991, 1.0497913212929804, 1.0726701917258596, 1.0941077638381578, 1.113908940694287, 1.1319303410509851, 1.1480816648896282, 1.162325076105228, 1.1746727128986336, 1.1851825005237235, 1.1939524987967607, 1.2011140667969888, 1.2068241681321896, 1.2112571707019844, 1.2145965137883574, 1.2170266212884382, 1.2187254317549112, 1.2198578924218408, 1.2205707243835975, 1.220988708391634, 1.2212126641775638, 1.2213191996444541, 1.2213621885291355, 1.2213757950434039, 1.2213787003174787, 1.2213789968439337, 1.2213790018945456 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.04609726288703105, -0.10641929223535729, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.498532

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

D2mNTCCyP7o9zqGRpPTBX5x

null

false

null

false

D5Z3dvELfeq5Dj3aQwJinoC

DPZpWv3NQPnwMYB8HgYvozh

{"qi": 0.0008406805052512736, "vacuum_well": -0.12900015739131526, "aspect_ratio": 9.86780733351923, "max_elongation": 6.251942604197089, "average_triangularity": -0.5030444924635648, "axis_magnetic_mirror_ratio": 0.3058707881496492, "edge_magnetic_mirror_ratio": 0.32465244271895316, "aspect_ratio_over_edge_rotational_transform": 24.57156861342403, "flux_compression_in_regions_of_bad_curvature": 0.9815044599189088, "axis_rotational_transform_over_n_field_periods": 0.12511357774174828, "edge_rotational_transform_over_n_field_periods": 0.10039863031097059, "minimum_normalized_magnetic_gradient_scale_length": 5.65166861923675}

9.867807

24.571569

-0.704589

0.305871

0.125114

0.324652

0.100399

0.981504

6.251943

5.651669

0.000841

-0.129

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.006900399459242381,-0.011568328139214526,-0.001174688229866186,0.00016389868746889214],[-0.0008548602170001642,-0.00015323784264721294,0.021215553394788606,-0.06931956156988618,0.06767444013160166,0.029609637618568833,-0.006915495121093194,-0.003206938966585763,-0.00046829832350128806],[-0.00016202352938593284,0.0012369980814557725,-0.0023454076792292626,0.001197586186934903,-0.006037966667518151,0.007535642929728575,-0.0019041022842433192,-0.0013563957098559393,-0.00021146796865932686],[0.00046605238046663796,-0.0018793016379286117,0.0021705694999362406,-0.0012299773501910738,0.0006344447176707611,0.0004122512725711522,-0.0011492129470324585,-0.0003627157519915979,-0.00011474222401433582],[-0.00015167573905419326,0.0002443660031195813,0.00030518348103581534,-0.0006512983503892443,0.0002480369659142202,-0.0000892526482643265,-0.0001492726775532611,-0.00006649694307114655,-0.000036564856861788545]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07768144194589545,0.0067898375393101165,0.0019912541361791457,0.00014897614377776605],[0.00013167839585909516,-0.0023157211554590998,0.01557329581579429,-0.012326573268886986,-0.17050432533324647,-0.01727365237201327,-0.000640129446401229,0.0013261499097581343,0.00034136536943757834],[-0.0008059652980901223,0.0026983058658005166,-0.013703515793750285,0.021194065820015387,-0.03793175546242859,-0.014987440338784573,-0.0006834942015033416,0.0001604399562200225,-0.0001466331782880561],[0.00027499651572030734,-0.00039348766798048384,-0.003219006173800553,0.011475454985918981,-0.004461636539429104,-0.0024314639867529285,-0.00012021084293843969,0.00019329542436955706,0.000033880918565584294],[-0.00009395545124210293,0.0004910840918881882,-0.0005752004760022451,0.0009719420053521343,-0.00003752138704824328,0.00026880980572603695,0.00009473473110035895,0.00005845183083376729,0.000035703938635483405]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.006900399459242381, -0.011568328139214526, -0.001174688229866186, 0.00016389868746889214 ], [ -0.0008548602170001642, -0.00015323784264721294, 0.021215553394788606, -0.06931956156988618, 0.06767444013160166, 0.029609637618568833, -0.006915495121093194, -0.003206938966585763, -0.00046829832350128806 ], [ -0.00016202352938593284, 0.0012369980814557725, -0.0023454076792292626, 0.001197586186934903, -0.006037966667518151, 0.007535642929728575, -0.0019041022842433192, -0.0013563957098559393, -0.00021146796865932686 ], [ 0.00046605238046663796, -0.0018793016379286117, 0.0021705694999362406, -0.0012299773501910738, 0.0006344447176707611, 0.0004122512725711522, -0.0011492129470324585, -0.0003627157519915979, -0.00011474222401433582 ], [ -0.00015167573905419326, 0.0002443660031195813, 0.00030518348103581534, -0.0006512983503892443, 0.0002480369659142202, -0.0000892526482643265, -0.0001492726775532611, -0.00006649694307114655, -0.000036564856861788545 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07768144194589545, 0.0067898375393101165, 0.0019912541361791457, 0.00014897614377776605 ], [ 0.00013167839585909516, -0.0023157211554590998, 0.01557329581579429, -0.012326573268886986, -0.17050432533324647, -0.01727365237201327, -0.000640129446401229, 0.0013261499097581343, 0.00034136536943757834 ], [ -0.0008059652980901223, 0.0026983058658005166, -0.013703515793750285, 0.021194065820015387, -0.03793175546242859, -0.014987440338784573, -0.0006834942015033416, 0.0001604399562200225, -0.0001466331782880561 ], [ 0.00027499651572030734, -0.00039348766798048384, -0.003219006173800553, 0.011475454985918981, -0.004461636539429104, -0.0024314639867529285, -0.00012021084293843969, 0.00019329542436955706, 0.000033880918565584294 ], [ -0.00009395545124210293, 0.0004910840918881882, -0.0005752004760022451, 0.0009719420053521343, -0.00003752138704824328, 0.00026880980572603695, 0.00009473473110035895, 0.00005845183083376729, 0.000035703938635483405 ] ]

DXEEanGdiqMqK2EJPb9Cvwj

{"aspect_ratio": 10.184306405795173, "major_radius": 1.0, "max_elongation": 6.090595632776622, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.10800511817586407, 0.3563972839432595, 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": [[0.773934059810677, 0.7739340763580166, 0.7739346105845599, 0.7739382945631745, 0.7739519253706281, 0.7739882951544466, 0.7740677400654113, 0.7742193860472265, 0.7744820820993114, 0.7749050181661757, 0.7755480289192996, 0.7764815876162142, 0.7777864964818523, 0.7795532819304561, 0.7818813045858307, 0.7848775955585043, 0.7886554318641829, 0.7933326652651576, 0.7990298202216884, 0.8058679780852607, 0.8139664661792113, 0.8234403720237461, 0.8343979047028015, 0.846937627274118, 0.8611455862312289, 0.8770923663844462, 0.8948301021952692, 0.9143894796468552, 0.9357767662529001, 0.958970910914396, 0.983920760178753, 1.0105424432366958, 1.038716984973835, 1.0682882149349529, 1.0990610506556364, 1.1308002471649525, 1.1632297215645955, 1.1960325839122423, 1.228852035388781, 1.2612933353315094, 1.2929270956398002, 1.3232942433908497, 1.351913115996171, 1.3782893466520925, 1.401929517079156, 1.4223601168145785, 1.4391544244905072, 1.4519722285603938, 1.460623077792576, 1.465182456238816, 1.4662997394500579], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4859934504350095}

10.184306

1

6.090596

[ [ 0.773934059810677, 0.7739340763580166, 0.7739346105845599, 0.7739382945631745, 0.7739519253706281, 0.7739882951544466, 0.7740677400654113, 0.7742193860472265, 0.7744820820993114, 0.7749050181661757, 0.7755480289192996, 0.7764815876162142, 0.7777864964818523, 0.7795532819304561, 0.7818813045858307, 0.7848775955585043, 0.7886554318641829, 0.7933326652651576, 0.7990298202216884, 0.8058679780852607, 0.8139664661792113, 0.8234403720237461, 0.8343979047028015, 0.846937627274118, 0.8611455862312289, 0.8770923663844462, 0.8948301021952692, 0.9143894796468552, 0.9357767662529001, 0.958970910914396, 0.983920760178753, 1.0105424432366958, 1.038716984973835, 1.0682882149349529, 1.0990610506556364, 1.1308002471649525, 1.1632297215645955, 1.1960325839122423, 1.228852035388781, 1.2612933353315094, 1.2929270956398002, 1.3232942433908497, 1.351913115996171, 1.3782893466520925, 1.401929517079156, 1.4223601168145785, 1.4391544244905072, 1.4519722285603938, 1.460623077792576, 1.465182456238816, 1.4662997394500579 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.10800511817586407, 0.3563972839432595, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.485993

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

DDYueSFeQz4ntiHy6U44jX2

null

false

null

false

Df8MQNemVh99AXvuf6CxbiB

DGexZgHN5B5WgXR6vwKbYCo

{"qi": 0.05582653687565529, "vacuum_well": -0.09656178601502209, "aspect_ratio": 9.84064665723305, "max_elongation": 4.768344786468742, "average_triangularity": -0.4145637121063449, "axis_magnetic_mirror_ratio": 0.25088808564503334, "edge_magnetic_mirror_ratio": 0.37875661574023417, "aspect_ratio_over_edge_rotational_transform": 9.851507139078954, "flux_compression_in_regions_of_bad_curvature": 1.0769399799042823, "axis_rotational_transform_over_n_field_periods": 0.22038323490722284, "edge_rotational_transform_over_n_field_periods": 0.19977951633810784, "minimum_normalized_magnetic_gradient_scale_length": 7.590007612613178}

9.840647

9.851507

-0.690552

0.250888

0.220383

0.378757

0.19978

1.07694

4.768345

7.590008

0.055827

-0.096562

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.03384103188651085,-0.0118048770376182,-0.0002412547803111852,0.00035729182830566275],[0.001451512165312793,0.004282604041996915,0.022760959055737065,0.04716014390687508,0.08653188775892662,-0.0169992101845001,-0.0036114900385868353,0.00025865650887392164,0.000055619032058298965],[-0.0005643924230585092,-0.000061028597745624454,-0.01751252120769547,-0.009215303253991182,-0.0017470416885839478,0.000722049836934335,-0.002094371808595467,0.0005931444631345392,0.00005476206745055396],[-0.0008204312332385248,-0.0006031836089471974,0.006724097003861111,0.0030565169242482582,-0.0007023654942893258,0.0005234868834603135,-0.0008771944547249877,0.0001961364292109328,-0.00004818270207910386],[0.0004281980521970016,0.00008399804953309826,-0.0012024079500219356,0.00039400312144071683,-0.0007551676683887359,0.00011252646093762872,0.00006966347175705245,0.00001570772743712042,-0.00001594327077970002]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.04725449906412599,0.006228475559163395,-0.0009539819804568887,-0.0001207924570585002],[0.001055961806240412,0.005056986990545144,0.019350971455855875,0.03969089433982083,-0.15442949980507872,0.008321586826867323,0.009243706278610871,-0.0009386413102091397,0.00011566180803260624],[-0.0005153082162298007,-0.0012807620966361873,-0.020410552270102005,-0.007684056158915292,0.001082289585232377,0.005891044738818411,-0.0005933101395758401,-0.0002678885991168876,0.000029797925035268165],[-0.0002785562244547524,-0.0017142875106588233,-0.001949684972045571,-0.0008449492494027868,-0.0004841477809424682,-0.00014196797387191476,0.0004003429273474675,5.520332225824069e-6,0.000014315884223332941],[-0.00016983884388416964,0.0004358951887638825,-0.00043669434873306625,0.000528823477336628,0.0004831843661831487,0.00021455922655051572,-0.00009565637020421936,-0.00009123833517559618,0.000032077613541013484]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.03384103188651085, -0.0118048770376182, -0.0002412547803111852, 0.00035729182830566275 ], [ 0.001451512165312793, 0.004282604041996915, 0.022760959055737065, 0.04716014390687508, 0.08653188775892662, -0.0169992101845001, -0.0036114900385868353, 0.00025865650887392164, 0.000055619032058298965 ], [ -0.0005643924230585092, -0.000061028597745624454, -0.01751252120769547, -0.009215303253991182, -0.0017470416885839478, 0.000722049836934335, -0.002094371808595467, 0.0005931444631345392, 0.00005476206745055396 ], [ -0.0008204312332385248, -0.0006031836089471974, 0.006724097003861111, 0.0030565169242482582, -0.0007023654942893258, 0.0005234868834603135, -0.0008771944547249877, 0.0001961364292109328, -0.00004818270207910386 ], [ 0.0004281980521970016, 0.00008399804953309826, -0.0012024079500219356, 0.00039400312144071683, -0.0007551676683887359, 0.00011252646093762872, 0.00006966347175705245, 0.00001570772743712042, -0.00001594327077970002 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.04725449906412599, 0.006228475559163395, -0.0009539819804568887, -0.0001207924570585002 ], [ 0.001055961806240412, 0.005056986990545144, 0.019350971455855875, 0.03969089433982083, -0.15442949980507872, 0.008321586826867323, 0.009243706278610871, -0.0009386413102091397, 0.00011566180803260624 ], [ -0.0005153082162298007, -0.0012807620966361873, -0.020410552270102005, -0.007684056158915292, 0.001082289585232377, 0.005891044738818411, -0.0005933101395758401, -0.0002678885991168876, 0.000029797925035268165 ], [ -0.0002785562244547524, -0.0017142875106588233, -0.001949684972045571, -0.0008449492494027868, -0.0004841477809424682, -0.00014196797387191476, 0.0004003429273474675, 0.000005520332225824069, 0.000014315884223332941 ], [ -0.00016983884388416964, 0.0004358951887638825, -0.00043669434873306625, 0.000528823477336628, 0.0004831843661831487, 0.00021455922655051572, -0.00009565637020421936, -0.00009123833517559618, 0.000032077613541013484 ] ]

Dep799Fam46ZKMF62pJfxwi

{"aspect_ratio": 8.865229626550999, "major_radius": 1.0, "max_elongation": 4.427077253745771, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.037600644174924876, -0.15622823606811917, 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": [[0.859690048372843, 0.8596904735278769, 0.8596987433141632, 0.859739686397359, 0.8598580241596637, 0.8601166787887149, 0.8605934377724697, 0.8613768322119452, 0.8625616960256252, 0.8642447027815245, 0.8665200821940233, 0.8694756581504018, 0.8731893084178107, 0.8777259154387594, 0.8831348539282775, 0.8894480420977363, 0.896678567882143, 0.9048198886614431, 0.9138455920537811, 0.9237096960120038, 0.9343474583833726, 0.9456766590846687, 0.9575993119436408, 0.9700037579452415, 0.9827670870084247, 0.9957578314394835, 1.0088388708112084, 1.0218704851677456, 1.0347134911289182, 1.0472323936514367, 1.0592984848941638, 1.070792820836457, 1.0816090060289154, 1.0916557171423578, 1.1008588968647586, 1.1091635512348936, 1.1165350857743346, 1.1229601188928955, 1.128446715141363, 1.1330239861676614, 1.1367410139747722, 1.1396650596740476, 1.1418790319521728, 1.1434782037977054, 1.14456618504767, 1.1452501843285654, 1.1456356311164202, 1.145820285019261, 1.1458880528876085, 1.1459029125521805, 1.1459037819190905], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0648349011602702}

8.86523

1

4.427077

[ [ 0.859690048372843, 0.8596904735278769, 0.8596987433141632, 0.859739686397359, 0.8598580241596637, 0.8601166787887149, 0.8605934377724697, 0.8613768322119452, 0.8625616960256252, 0.8642447027815245, 0.8665200821940233, 0.8694756581504018, 0.8731893084178107, 0.8777259154387594, 0.8831348539282775, 0.8894480420977363, 0.896678567882143, 0.9048198886614431, 0.9138455920537811, 0.9237096960120038, 0.9343474583833726, 0.9456766590846687, 0.9575993119436408, 0.9700037579452415, 0.9827670870084247, 0.9957578314394835, 1.0088388708112084, 1.0218704851677456, 1.0347134911289182, 1.0472323936514367, 1.0592984848941638, 1.070792820836457, 1.0816090060289154, 1.0916557171423578, 1.1008588968647586, 1.1091635512348936, 1.1165350857743346, 1.1229601188928955, 1.128446715141363, 1.1330239861676614, 1.1367410139747722, 1.1396650596740476, 1.1418790319521728, 1.1434782037977054, 1.14456618504767, 1.1452501843285654, 1.1456356311164202, 1.145820285019261, 1.1458880528876085, 1.1459029125521805, 1.1459037819190905 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.037600644174924876, -0.15622823606811917, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.064835

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

DVfZyYWtY6YtBsaLYo7dXo7

null

false

null

false

D8Rj8jbvKia4WdYBV2ZYRrW

DDGPHFtcWbAJBgfhHAdauQJ

{"qi": 0.0036037086557235577, "vacuum_well": -0.2274808550401042, "aspect_ratio": 9.666817431210012, "max_elongation": 4.049367084663114, "average_triangularity": -0.3912371049112917, "axis_magnetic_mirror_ratio": 0.33599339387765076, "edge_magnetic_mirror_ratio": 0.45068800413923693, "aspect_ratio_over_edge_rotational_transform": 18.172906307733758, "flux_compression_in_regions_of_bad_curvature": 0.6997483913504559, "axis_rotational_transform_over_n_field_periods": 0.14392771938651833, "edge_rotational_transform_over_n_field_periods": 0.10638713772596901, "minimum_normalized_magnetic_gradient_scale_length": 5.3536666323986175}

9.666817

18.172906

-0.770698

0.335993

0.143928

0.450688

0.106387

0.699748

4.049367

5.353667

0.003604

-0.227481

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.06618051241242266,0.0030649337787604413,0.0037460618844549157,0.00039246373452508357],[-0.0007008891222677856,-0.0055629410744343945,0.02158799567434177,0.0003427010860724937,0.08870931739736018,-0.009901521268161479,-0.007021563191483213,0.0018047582613870627,-0.0008584743792582768],[0.0002601846550750868,0.0008662300364722839,-0.02062244331995856,0.018729213351514274,0.002778962048741982,-0.0038743763719459867,-0.005781609804616864,0.0016218238964256218,-0.00030584128098653786],[-0.0005358762252793421,-0.0026455828715694855,0.006699699668300878,0.0009565409259692049,0.003658093585678126,-0.0010147893046998384,-0.00038180049709305277,0.00019621787862648932,0.000022896876955411018],[0.00019980517051021535,0.000783985791488016,-0.0016328804150514344,-0.00006173941680939424,0.00029548216260913814,0.0004926238320497565,-0.00030124838555532654,0.00007758673980037633,-0.00007591251249407843]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.00008528254140520009,0.005835081797711515,-0.00005167036366719811,-0.0005405555023957984],[-0.0006508016756926061,-0.002600658433617586,0.0263520966004034,-0.0045474539706067685,-0.13632231981157059,0.04658380338108259,-0.0002111962147201274,-0.0009810622915543271,0.0003937032766185777],[0.0013313093011523603,0.0040315385642149745,-0.01965359679247522,-0.0001817437595763565,-0.010499955656592438,0.008011274956984848,0.000013051728263111309,-0.002191180504950847,0.0004891448630032673],[-0.0003775157973308417,-0.002049664039440696,0.006671093700389527,-0.0025024876455560408,-0.002199017623167891,-0.0008168555671200928,0.00005626029883314685,0.00010707316660878228,-2.403159800512094e-6],[0.0003156916529064523,0.0002757983456092754,-0.00016585302527709323,-0.0006703804166276874,-0.00044094180131223866,0.0002680463152450565,-0.00003069037360371058,0.00009433385290304172,-0.000048068181708220154]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.06618051241242266, 0.0030649337787604413, 0.0037460618844549157, 0.00039246373452508357 ], [ -0.0007008891222677856, -0.0055629410744343945, 0.02158799567434177, 0.0003427010860724937, 0.08870931739736018, -0.009901521268161479, -0.007021563191483213, 0.0018047582613870627, -0.0008584743792582768 ], [ 0.0002601846550750868, 0.0008662300364722839, -0.02062244331995856, 0.018729213351514274, 0.002778962048741982, -0.0038743763719459867, -0.005781609804616864, 0.0016218238964256218, -0.00030584128098653786 ], [ -0.0005358762252793421, -0.0026455828715694855, 0.006699699668300878, 0.0009565409259692049, 0.003658093585678126, -0.0010147893046998384, -0.00038180049709305277, 0.00019621787862648932, 0.000022896876955411018 ], [ 0.00019980517051021535, 0.000783985791488016, -0.0016328804150514344, -0.00006173941680939424, 0.00029548216260913814, 0.0004926238320497565, -0.00030124838555532654, 0.00007758673980037633, -0.00007591251249407843 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.00008528254140520009, 0.005835081797711515, -0.00005167036366719811, -0.0005405555023957984 ], [ -0.0006508016756926061, -0.002600658433617586, 0.0263520966004034, -0.0045474539706067685, -0.13632231981157059, 0.04658380338108259, -0.0002111962147201274, -0.0009810622915543271, 0.0003937032766185777 ], [ 0.0013313093011523603, 0.0040315385642149745, -0.01965359679247522, -0.0001817437595763565, -0.010499955656592438, 0.008011274956984848, 0.000013051728263111309, -0.002191180504950847, 0.0004891448630032673 ], [ -0.0003775157973308417, -0.002049664039440696, 0.006671093700389527, -0.0025024876455560408, -0.002199017623167891, -0.0008168555671200928, 0.00005626029883314685, 0.00010707316660878228, -0.000002403159800512094 ], [ 0.0003156916529064523, 0.0002757983456092754, -0.00016585302527709323, -0.0006703804166276874, -0.00044094180131223866, 0.0002680463152450565, -0.00003069037360371058, 0.00009433385290304172, -0.000048068181708220154 ] ]

D3cYSi8DrAMmSK5CrvmUdP2

{"aspect_ratio": 11.41480314363384, "major_radius": 1.0, "max_elongation": 6.870029624293011, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.23444999743131445, -0.231486728719769, 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": [[0.7127358200987082, 0.712735822982723, 0.7127359665607867, 0.7127372594306873, 0.7127430382305562, 0.7127608515212576, 0.7128045460443595, 0.7128963957782555, 0.7130691477875611, 0.7133678814892571, 0.7138515952291655, 0.71459444825693, 0.7156865984502319, 0.7172345871193986, 0.7193612323264266, 0.7222050016486659, 0.725918844400195, 0.7306684721393405, 0.7366300849557681, 0.7439875496441595, 0.7529290445224625, 0.7636431944251949, 0.7763147283801966, 0.7911197017482805, 0.8082203342649263, 0.8277595255791079, 0.8498551206613911, 0.8745940090000193, 0.9020261540000506, 0.932158662669704, 0.9649500208006347, 1.0003046357840768, 1.0380678484200383, 1.078021597190187, 1.1198809443091151, 1.1632917035851469, 1.2078294473093956, 1.2530002153393538, 1.298243307610509, 1.3429366165679495, 1.3864050563618862, 1.4279327838679192, 1.4667801042101292, 1.5022062486640873, 1.5334996774986636, 1.5600183403034125, 1.5812437465327431, 1.5968555789322574, 1.606840384623228, 1.6116683554510722, 1.6126777672924253], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6579302668085119}

11.414803

1

6.87003

[ [ 0.7127358200987082, 0.712735822982723, 0.7127359665607867, 0.7127372594306873, 0.7127430382305562, 0.7127608515212576, 0.7128045460443595, 0.7128963957782555, 0.7130691477875611, 0.7133678814892571, 0.7138515952291655, 0.71459444825693, 0.7156865984502319, 0.7172345871193986, 0.7193612323264266, 0.7222050016486659, 0.725918844400195, 0.7306684721393405, 0.7366300849557681, 0.7439875496441595, 0.7529290445224625, 0.7636431944251949, 0.7763147283801966, 0.7911197017482805, 0.8082203342649263, 0.8277595255791079, 0.8498551206613911, 0.8745940090000193, 0.9020261540000506, 0.932158662669704, 0.9649500208006347, 1.0003046357840768, 1.0380678484200383, 1.078021597190187, 1.1198809443091151, 1.1632917035851469, 1.2078294473093956, 1.2530002153393538, 1.298243307610509, 1.3429366165679495, 1.3864050563618862, 1.4279327838679192, 1.4667801042101292, 1.5022062486640873, 1.5334996774986636, 1.5600183403034125, 1.5812437465327431, 1.5968555789322574, 1.606840384623228, 1.6116683554510722, 1.6126777672924253 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.23444999743131445, -0.231486728719769, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.65793

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

DLieS8kFmuk4FJdPULB5ZKC

null

false

null

false

DFKCoosW2iQpiq3yy54Mept

DTMPQx8hDAB8RiaFRArmPSK

{"qi": 0.0037295447733937444, "vacuum_well": -0.04158218740014591, "aspect_ratio": 9.27060000746917, "max_elongation": 3.42056467728974, "average_triangularity": -0.10109875725227482, "axis_magnetic_mirror_ratio": 0.3734090071139074, "edge_magnetic_mirror_ratio": 0.4313678714212796, "aspect_ratio_over_edge_rotational_transform": 64.34101568682277, "flux_compression_in_regions_of_bad_curvature": 0.7367856892581873, "axis_rotational_transform_over_n_field_periods": 0.15745682957191487, "edge_rotational_transform_over_n_field_periods": 0.14408538485922312, "minimum_normalized_magnetic_gradient_scale_length": 4.111025240337841}

9.2706

64.341016

-0.131646

0.373409

0.157457

0.431368

0.144085

0.736786

3.420565

4.111025

0.00373

-0.041582

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.003223448815231716,-0.205193221427126,-0.0027429638401754632,0.016998632487523115],[0.009837870898569507,-0.03159215495513865,0.04622381180980246,-0.01346774380689234,0.11009042536265919,-0.03643441191932004,-0.023686424079267097,-0.0025350400505325787,-0.006015262604582043],[-0.0018761457127955425,-0.001090631467845382,0.0008617858667897787,0.003881702496188028,-0.0015852976570428624,-0.006534097327602865,-0.0029106018201767877,0.0018622466946524106,0.001387880761548572],[-0.0011240870367590725,-0.0002248462476776231,0.0016486329775845614,0.0036033807256881647,-0.007651172494952551,-0.0035962595863599425,0.0010899729659797845,0.00298355780989481,0.0007555592108320225],[-0.00036711186477056103,0.0003630060560946414,-0.00012598498755298,0.00022095679246910427,0.0008990879408325802,0.0002170299132506714,-0.00007407525929255821,0.000472816570464381,-0.00020235817083796896]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.00423293090929381,0.0030058191894151674,0.003041418378682237,0.004552631337118591],[0.006591242473767641,-0.023818986969031508,0.028350353635741,0.007044972688032189,-0.12852300963608512,-0.004648775503918697,-0.008497063021628466,-0.009426475894752318,0.0000604170692785665],[0.0007897286496869745,0.000048976735663048085,0.003624854821544854,0.006254832175427993,-0.006341912281583914,0.0016706721420988446,0.00452198663616826,0.0003759328179265447,-0.00009859526802104355],[-1.4217493046682654e-7,0.0008840643068282852,0.0010524135735119895,-0.0030502964133453424,-0.0014122892739638188,0.004137555095756176,0.002795915199393145,-0.00006423174920918345,0.000248744913722031],[0.00004735703393158069,0.00016597267422534384,0.0003151245732704551,-0.00013646521558497834,0.0005876730780339626,0.000051666015011099754,-0.0003323793754143632,-0.00034023846239837933,0.00005909539735445433]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.003223448815231716, -0.205193221427126, -0.0027429638401754632, 0.016998632487523115 ], [ 0.009837870898569507, -0.03159215495513865, 0.04622381180980246, -0.01346774380689234, 0.11009042536265919, -0.03643441191932004, -0.023686424079267097, -0.0025350400505325787, -0.006015262604582043 ], [ -0.0018761457127955425, -0.001090631467845382, 0.0008617858667897787, 0.003881702496188028, -0.0015852976570428624, -0.006534097327602865, -0.0029106018201767877, 0.0018622466946524106, 0.001387880761548572 ], [ -0.0011240870367590725, -0.0002248462476776231, 0.0016486329775845614, 0.0036033807256881647, -0.007651172494952551, -0.0035962595863599425, 0.0010899729659797845, 0.00298355780989481, 0.0007555592108320225 ], [ -0.00036711186477056103, 0.0003630060560946414, -0.00012598498755298, 0.00022095679246910427, 0.0008990879408325802, 0.0002170299132506714, -0.00007407525929255821, 0.000472816570464381, -0.00020235817083796896 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.00423293090929381, 0.0030058191894151674, 0.003041418378682237, 0.004552631337118591 ], [ 0.006591242473767641, -0.023818986969031508, 0.028350353635741, 0.007044972688032189, -0.12852300963608512, -0.004648775503918697, -0.008497063021628466, -0.009426475894752318, 0.0000604170692785665 ], [ 0.0007897286496869745, 0.000048976735663048085, 0.003624854821544854, 0.006254832175427993, -0.006341912281583914, 0.0016706721420988446, 0.00452198663616826, 0.0003759328179265447, -0.00009859526802104355 ], [ -1.4217493046682654e-7, 0.0008840643068282852, 0.0010524135735119895, -0.0030502964133453424, -0.0014122892739638188, 0.004137555095756176, 0.002795915199393145, -0.00006423174920918345, 0.000248744913722031 ], [ 0.00004735703393158069, 0.00016597267422534384, 0.0003151245732704551, -0.00013646521558497834, 0.0005876730780339626, 0.000051666015011099754, -0.0003323793754143632, -0.00034023846239837933, 0.00005909539735445433 ] ]

DgqnbHXpkkrt2v9sGkb8Pqk

{"aspect_ratio": 10.322512937700678, "major_radius": 1.0, "max_elongation": 6.688370888740426, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.26337035360283373, 0.5391105484964817, 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": [[0.6160750333689555, 0.616075330548314, 0.6160848093202322, 0.6161477940140722, 0.6163695074623519, 0.6169280248675405, 0.6180736804382004, 0.6201186018583908, 0.6234192186646009, 0.6283544225957822, 0.6353017543408603, 0.6446136316623752, 0.6565952578689785, 0.6714854788445599, 0.6894415043174725, 0.7105280828034892, 0.734711424667518, 0.7618579070112715, 0.7917373692150982, 0.8240306195508937, 0.8583406211974012, 0.8942067095042101, 0.9311211102753021, 0.9685469796038583, 1.0059371674936068, 1.042752917979832, 1.0784817553073494, 1.112653866312, 1.1448563706727755, 1.1747449701626698, 1.2020525822718677, 1.2265946892943538, 1.2482712676954026, 1.2670653007021941, 1.2830380158261527, 1.2963211245286672, 1.3071064694242587, 1.3156336010596732, 1.3221759070246684, 1.3270259963628024, 1.3304810971681202, 1.33282924983958, 1.3343370673870911, 1.3352397817412345, 1.3357341950358022, 1.3359750004789093, 1.3360747209297756, 1.3361072254015247, 1.3361144126182958, 1.3361151796597917, 1.336115193619871], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.2955577358920165}

10.322513

1

6.688371

[ [ 0.6160750333689555, 0.616075330548314, 0.6160848093202322, 0.6161477940140722, 0.6163695074623519, 0.6169280248675405, 0.6180736804382004, 0.6201186018583908, 0.6234192186646009, 0.6283544225957822, 0.6353017543408603, 0.6446136316623752, 0.6565952578689785, 0.6714854788445599, 0.6894415043174725, 0.7105280828034892, 0.734711424667518, 0.7618579070112715, 0.7917373692150982, 0.8240306195508937, 0.8583406211974012, 0.8942067095042101, 0.9311211102753021, 0.9685469796038583, 1.0059371674936068, 1.042752917979832, 1.0784817553073494, 1.112653866312, 1.1448563706727755, 1.1747449701626698, 1.2020525822718677, 1.2265946892943538, 1.2482712676954026, 1.2670653007021941, 1.2830380158261527, 1.2963211245286672, 1.3071064694242587, 1.3156336010596732, 1.3221759070246684, 1.3270259963628024, 1.3304810971681202, 1.33282924983958, 1.3343370673870911, 1.3352397817412345, 1.3357341950358022, 1.3359750004789093, 1.3360747209297756, 1.3361072254015247, 1.3361144126182958, 1.3361151796597917, 1.336115193619871 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.26337035360283373, 0.5391105484964817, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.295558

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

DjNNuCAJfbLUVKdPSU4K9sC

null

false

null

false

DACTQbwT7tFuShy4iJZVzuN

DWVsg8VdUyMrrPFE3Q8Hr4z

{"qi": 0.007284243492737735, "vacuum_well": -0.12236306668372132, "aspect_ratio": 10.010813666207913, "max_elongation": 5.0117806778913785, "average_triangularity": -0.5441210209759091, "axis_magnetic_mirror_ratio": 0.15096251978665934, "edge_magnetic_mirror_ratio": 0.22284590730530807, "aspect_ratio_over_edge_rotational_transform": 12.45351248705405, "flux_compression_in_regions_of_bad_curvature": 1.348371521907896, "axis_rotational_transform_over_n_field_periods": 0.21745282313997558, "edge_rotational_transform_over_n_field_periods": 0.26795154316542086, "minimum_normalized_magnetic_gradient_scale_length": 6.5361308807709}

10.010814

12.453512

-0.993377

0.150963

0.217453

0.222846

0.267952

1.348372

5.011781

6.536131

0.007284

-0.122363

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.022960129563958678,-0.02204125386661379,0.0003916627740244826,-0.00007945304498312935],[-0.000718708927113009,-0.0035970711628771626,0.027009812891830985,-0.06688916826284547,0.09152744706840811,-0.001127200356432101,0.0011120485821200232,0.0015119503241302198,-1.7409219888767048e-6],[-0.00011383189394797676,0.005310676988907939,-0.01701121185173905,-0.0037661967141288787,-0.01332161454707203,-0.007077617058257404,-0.002714172276783628,-0.0007546164357313994,-0.0003244157798889688],[0.00045028649265064114,-0.002388076846940995,0.007433651193019134,0.0037730470179021995,-0.003657514546199747,-0.0018544384923091905,-0.0012078646210896922,-0.0006517879914564882,-0.00018828920364431768],[-0.00033726276067251604,0.0009718312178041086,-0.0008199779805219968,-0.0012836855291951013,-0.0007483380720749456,-0.00043417708915636453,-0.00035673265151521386,-0.00018036864086299156,-0.00005548156645729274]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.10438075186638437,0.01066306855723409,0.00009106167357624722,0.00035365266580831417],[-0.0013450037701692049,-0.0032456244470577037,0.037879666068735635,-0.04646795741305879,-0.15855973704547327,-0.005128041643105999,-0.0026487248747571086,-0.001258822783957466,-0.00006188844240623487],[0.0003640099697691238,0.0027431143529274187,-0.009915824898808438,-0.0009515165271725555,-0.0010215035755355838,0.0011031042603034114,0.00007140048075434963,0.0011503009222302418,0.00041102983186825775],[-0.00126093519696473,0.0032197806151157225,0.0008905073861213118,0.0001455075440108634,0.0002618725175332724,0.0016670520464694381,0.00013589849526032924,0.0005232400573168155,0.00011941770946819147],[0.00014732586152589383,-0.0006380209620045268,-0.00006626516182911156,0.00008940518876748222,-0.0003864166697894796,0.00043400705724786696,0.00005117425912758459,0.00016052403085312412,0.000033083631702298274]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.022960129563958678, -0.02204125386661379, 0.0003916627740244826, -0.00007945304498312935 ], [ -0.000718708927113009, -0.0035970711628771626, 0.027009812891830985, -0.06688916826284547, 0.09152744706840811, -0.001127200356432101, 0.0011120485821200232, 0.0015119503241302198, -0.0000017409219888767048 ], [ -0.00011383189394797676, 0.005310676988907939, -0.01701121185173905, -0.0037661967141288787, -0.01332161454707203, -0.007077617058257404, -0.002714172276783628, -0.0007546164357313994, -0.0003244157798889688 ], [ 0.00045028649265064114, -0.002388076846940995, 0.007433651193019134, 0.0037730470179021995, -0.003657514546199747, -0.0018544384923091905, -0.0012078646210896922, -0.0006517879914564882, -0.00018828920364431768 ], [ -0.00033726276067251604, 0.0009718312178041086, -0.0008199779805219968, -0.0012836855291951013, -0.0007483380720749456, -0.00043417708915636453, -0.00035673265151521386, -0.00018036864086299156, -0.00005548156645729274 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.10438075186638437, 0.01066306855723409, 0.00009106167357624722, 0.00035365266580831417 ], [ -0.0013450037701692049, -0.0032456244470577037, 0.037879666068735635, -0.04646795741305879, -0.15855973704547327, -0.005128041643105999, -0.0026487248747571086, -0.001258822783957466, -0.00006188844240623487 ], [ 0.0003640099697691238, 0.0027431143529274187, -0.009915824898808438, -0.0009515165271725555, -0.0010215035755355838, 0.0011031042603034114, 0.00007140048075434963, 0.0011503009222302418, 0.00041102983186825775 ], [ -0.00126093519696473, 0.0032197806151157225, 0.0008905073861213118, 0.0001455075440108634, 0.0002618725175332724, 0.0016670520464694381, 0.00013589849526032924, 0.0005232400573168155, 0.00011941770946819147 ], [ 0.00014732586152589383, -0.0006380209620045268, -0.00006626516182911156, 0.00008940518876748222, -0.0003864166697894796, 0.00043400705724786696, 0.00005117425912758459, 0.00016052403085312412, 0.000033083631702298274 ] ]

D6ykEJ82f8bGE7FHYZniytE

{"aspect_ratio": 10.299328126956812, "major_radius": 1.0, "max_elongation": 4.892593164947701, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0523106361517356, 0.03058588403658666, 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": [[0.8154021827728121, 0.815402259653293, 0.8154047379099064, 0.8154214652784786, 0.8154814375191307, 0.815635564167992, 0.8159584891394769, 0.8165478237090356, 0.8175212475108229, 0.8190119571006597, 0.821162932478543, 0.8241204652322701, 0.8280273551095464, 0.833016138998148, 0.8392026700451957, 0.8466803166721371, 0.8555150027358449, 0.8657412619318596, 0.8773594324141426, 0.8903340720603407, 0.9045936312898886, 0.9200313792228113, 0.9365075405780103, 0.9538525653421789, 0.9718714211578912, 0.9903487698252299, 1.0090548645145656, 1.0277519834680406, 1.0462011993375178, 1.0641692710788144, 1.0814354377089592, 1.0977978904530683, 1.1130797020871455, 1.1271339998628007, 1.139848181538031, 1.1511469930181477, 1.1609943112489285, 1.169393507660394, 1.1763863060533282, 1.1820500948506736, 1.1864937077114026, 1.1898517493904357, 1.1922776164166913, 1.1939354459867324, 1.194991323307386, 1.1956041902368892, 1.195917030833037, 1.1960490697686077, 1.1960899217030811, 1.1960969052389039, 1.1960971766707729], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7262734256576634}

10.299328

1

4.892593

[ [ 0.8154021827728121, 0.815402259653293, 0.8154047379099064, 0.8154214652784786, 0.8154814375191307, 0.815635564167992, 0.8159584891394769, 0.8165478237090356, 0.8175212475108229, 0.8190119571006597, 0.821162932478543, 0.8241204652322701, 0.8280273551095464, 0.833016138998148, 0.8392026700451957, 0.8466803166721371, 0.8555150027358449, 0.8657412619318596, 0.8773594324141426, 0.8903340720603407, 0.9045936312898886, 0.9200313792228113, 0.9365075405780103, 0.9538525653421789, 0.9718714211578912, 0.9903487698252299, 1.0090548645145656, 1.0277519834680406, 1.0462011993375178, 1.0641692710788144, 1.0814354377089592, 1.0977978904530683, 1.1130797020871455, 1.1271339998628007, 1.139848181538031, 1.1511469930181477, 1.1609943112489285, 1.169393507660394, 1.1763863060533282, 1.1820500948506736, 1.1864937077114026, 1.1898517493904357, 1.1922776164166913, 1.1939354459867324, 1.194991323307386, 1.1956041902368892, 1.195917030833037, 1.1960490697686077, 1.1960899217030811, 1.1960969052389039, 1.1960971766707729 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0523106361517356, 0.03058588403658666, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.726273

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

DUfjaibidUy9GCe6PtuDa8A

null

false

null

false

DCFfcm6xGTEZQqsA7bVxwji

DaYxZCUcrfq9XP934GP7KHo

{"qi": 0.04626896467349378, "vacuum_well": -0.14040150192961612, "aspect_ratio": 8.270151120229459, "max_elongation": 6.933658720167377, "average_triangularity": -0.4348710113801892, "axis_magnetic_mirror_ratio": 0.4227156293699227, "edge_magnetic_mirror_ratio": 0.6908887050928358, "aspect_ratio_over_edge_rotational_transform": 8.944488145334637, "flux_compression_in_regions_of_bad_curvature": 1.8621870217692498, "axis_rotational_transform_over_n_field_periods": 0.1883634619813041, "edge_rotational_transform_over_n_field_periods": 0.23115216281389714, "minimum_normalized_magnetic_gradient_scale_length": 4.73926090088212}

8.270151

8.944488

-0.881645

0.422716

0.188363

0.690889

0.231152

1.862187

6.933659

4.739261

0.046269

-0.140402

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.243845434925195,0.05041449292567845,0.002281744365450269,-0.0031888415432863343],[0.0020499321051486137,0.004853837984005227,-0.01833393036623069,-0.09169760896571166,0.13198867843448428,0.009478272301939435,0.0029313902100832666,-0.003032992354264685,-0.00012973566119060093],[0.0007893189527112236,-0.006898461782697776,-0.013091104151668496,0.008406834549761426,-0.0029375233183827933,-0.011297911158947994,-0.004732854004448725,0.0010130422124129818,0.0004932321849309048],[-0.0009327394016339242,0.002811300980538168,0.003665658295214094,-0.0027836902109748336,0.000781381480968915,-0.0006327798784477438,-0.00007384686876219242,-1.2166243661582317e-7,0.00009180216373108548],[0.00010759652119426782,0.0005998869696984311,-0.002254204127925694,-0.0008401327418206478,0.000018411581448364412,0.0001472874870320331,0.00014337427673156425,-0.00008781218441919415,1.6228617459842012e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.0042641588285439146,-0.02343312691976656,-0.005834026665508518,0.0005464213400403258],[0.00019680562803058976,0.00793708728737526,0.0015575509710511774,-0.06612220962706256,-0.15036605865217872,-0.004608992240886643,0.00901754181160852,0.0056439027543065705,-0.000389032716494455],[0.0007780255985469307,-0.005709614606196714,-0.001026353419378765,0.004150214790719233,-0.008405749758265108,0.003538672487000691,0.00231477503143034,-0.0005301155163204073,-0.00042878964472466575],[-0.0008830025301133537,0.0047821392642728305,-0.001261958571124744,0.0017855687272091353,0.0046477046735588215,0.0006207129652812554,-0.000381924757554933,-0.000059295250120095216,0.00003248970103837104],[0.0005982166144106141,-0.0017084274163434608,0.001179078569745225,0.00003829279886466126,-0.00015138353989092762,-0.00002493082658287045,-0.00011438705534867939,0.000046245724942585334,0.00003218751504508306]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.243845434925195, 0.05041449292567845, 0.002281744365450269, -0.0031888415432863343 ], [ 0.0020499321051486137, 0.004853837984005227, -0.01833393036623069, -0.09169760896571166, 0.13198867843448428, 0.009478272301939435, 0.0029313902100832666, -0.003032992354264685, -0.00012973566119060093 ], [ 0.0007893189527112236, -0.006898461782697776, -0.013091104151668496, 0.008406834549761426, -0.0029375233183827933, -0.011297911158947994, -0.004732854004448725, 0.0010130422124129818, 0.0004932321849309048 ], [ -0.0009327394016339242, 0.002811300980538168, 0.003665658295214094, -0.0027836902109748336, 0.000781381480968915, -0.0006327798784477438, -0.00007384686876219242, -1.2166243661582317e-7, 0.00009180216373108548 ], [ 0.00010759652119426782, 0.0005998869696984311, -0.002254204127925694, -0.0008401327418206478, 0.000018411581448364412, 0.0001472874870320331, 0.00014337427673156425, -0.00008781218441919415, 0.0000016228617459842012 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.0042641588285439146, -0.02343312691976656, -0.005834026665508518, 0.0005464213400403258 ], [ 0.00019680562803058976, 0.00793708728737526, 0.0015575509710511774, -0.06612220962706256, -0.15036605865217872, -0.004608992240886643, 0.00901754181160852, 0.0056439027543065705, -0.000389032716494455 ], [ 0.0007780255985469307, -0.005709614606196714, -0.001026353419378765, 0.004150214790719233, -0.008405749758265108, 0.003538672487000691, 0.00231477503143034, -0.0005301155163204073, -0.00042878964472466575 ], [ -0.0008830025301133537, 0.0047821392642728305, -0.001261958571124744, 0.0017855687272091353, 0.0046477046735588215, 0.0006207129652812554, -0.000381924757554933, -0.000059295250120095216, 0.00003248970103837104 ], [ 0.0005982166144106141, -0.0017084274163434608, 0.001179078569745225, 0.00003829279886466126, -0.00015138353989092762, -0.00002493082658287045, -0.00011438705534867939, 0.000046245724942585334, 0.00003218751504508306 ] ]

DYNKcBScaGqjTTi7Lfh2g9X

{"aspect_ratio": 7.932885376397044, "major_radius": 1.0, "max_elongation": 5.853187745747714, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05679908369313083, -0.23008004696802653, 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": [[0.7090655369469274, 0.7090694444388392, 0.7091235122584011, 0.7093401289137313, 0.7098800396061405, 0.710934357278281, 0.7127093671834115, 0.715413697672251, 0.7192476022105702, 0.7243941590594603, 0.7310122248328041, 0.7392309952477988, 0.7491460374012288, 0.7608166656391262, 0.7742645388994625, 0.7894733620223915, 0.8063895773579884, 0.824923936312826, 0.844953843428566, 0.8663263682887995, 0.888861823082536, 0.9123578060710656, 0.9365936135529342, 0.9613349252342785, 0.9863386702178076, 1.0113579831488764, 1.0361471624249525, 1.0604665448083455, 1.084087213304687, 1.106795457806252, 1.1283969107772007, 1.1487202832085397, 1.16762062923063, 1.1849820711844026, 1.200719920672909, 1.2147821352097463, 1.227150054636116, 1.2378383666053687, 1.246894256281068, 1.2543957021630963, 1.2604488879263065, 1.2651847097290065, 1.2687543702178792, 1.2713240653344238, 1.2730687894837702, 1.274165311156653, 1.2747844092530314, 1.2750825192367303, 1.2751930384391734, 1.2752177375236693, 1.275219237079535], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8395182558610735}

7.932885

1

5.853188

[ [ 0.7090655369469274, 0.7090694444388392, 0.7091235122584011, 0.7093401289137313, 0.7098800396061405, 0.710934357278281, 0.7127093671834115, 0.715413697672251, 0.7192476022105702, 0.7243941590594603, 0.7310122248328041, 0.7392309952477988, 0.7491460374012288, 0.7608166656391262, 0.7742645388994625, 0.7894733620223915, 0.8063895773579884, 0.824923936312826, 0.844953843428566, 0.8663263682887995, 0.888861823082536, 0.9123578060710656, 0.9365936135529342, 0.9613349252342785, 0.9863386702178076, 1.0113579831488764, 1.0361471624249525, 1.0604665448083455, 1.084087213304687, 1.106795457806252, 1.1283969107772007, 1.1487202832085397, 1.16762062923063, 1.1849820711844026, 1.200719920672909, 1.2147821352097463, 1.227150054636116, 1.2378383666053687, 1.246894256281068, 1.2543957021630963, 1.2604488879263065, 1.2651847097290065, 1.2687543702178792, 1.2713240653344238, 1.2730687894837702, 1.274165311156653, 1.2747844092530314, 1.2750825192367303, 1.2751930384391734, 1.2752177375236693, 1.275219237079535 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05679908369313083, -0.23008004696802653, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.839518

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

DJwY69jZDy2Dk62PW3jBDRQ

null

false

null

false

DLsMzAWYePWBQTvTgr7dHbD

DFDYf9prrCNvg55WxmByisd

{"qi": 0.0013279605076730646, "vacuum_well": -0.08562693453313716, "aspect_ratio": 9.802498934386671, "max_elongation": 6.326498364503595, "average_triangularity": -0.6126570091280916, "axis_magnetic_mirror_ratio": 0.3243024208479503, "edge_magnetic_mirror_ratio": 0.369603336988806, "aspect_ratio_over_edge_rotational_transform": 77.7820319388474, "flux_compression_in_regions_of_bad_curvature": 1.5214127812118048, "axis_rotational_transform_over_n_field_periods": 0.09938483461425605, "edge_rotational_transform_over_n_field_periods": 0.1260252360351481, "minimum_normalized_magnetic_gradient_scale_length": 3.852586011041711}

9.802499

77.782032

-0.739427

0.324302

0.099385

0.369603

0.126025

1.521413

6.326498

3.852586

0.001328

-0.085627

{"r_cos":[[0.0,0.0,0.0,0.0,0.9953225646228475,-0.23694885857100378,-0.21788363374121078,0.04861372539591416,0.012612302910425541],[0.0053785459468269495,-0.02553981607802945,0.03321756132779614,-0.004585020950946936,0.09450707988651526,-0.022477135191994214,0.045362071788484275,-0.0011848498198679253,0.0027115924150012535],[-0.00014210600053191717,-0.00029383032826176594,-0.014362852373053049,-0.008256621520692696,-0.011507520436300702,-0.006252349793245089,-0.005108809349257137,0.0005201539951634115,0.00003199560138499847],[-0.0003337278981420247,-0.0011461606556141992,-0.00014395959951398244,-0.0011985383033575683,0.0025591891038133654,0.00026912360322305264,0.000711209991087343,-0.00002125204721735029,0.00022616496452836213],[0.00010769867521320266,0.00021717869719886662,-0.000036430855786477383,0.0008785612514344096,0.00019916838525041184,0.0003559921292547607,0.0004077565849235124,0.00002159577213509047,-8.1396865444876e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.3124567673834815,0.030151683181554333,-0.015073934309166549,0.012376221453233855],[0.002068359064613606,-0.01632800690636522,0.07403022906721377,-0.08460618967346134,-0.13234753223449466,0.08805531318544835,-0.00919766770888588,0.009028795524901333,-0.002557835198969786],[-0.0016333646060378729,0.0013850373655401647,0.00818069868648583,0.012044017358671085,-0.028438486805914483,-0.016620357541501284,0.0012096620724349697,0.001562358444375143,0.00003773840995317237],[0.00018127923306802358,0.0004722334669692653,0.0019007909434462277,-0.00006229759826954502,-0.004628002825448692,0.0028210650165845577,-0.0023123007409823924,0.0009193518735595752,-0.000060718180489971104],[0.00013094848463682577,-0.0007504887583869657,0.0010199149916980778,-9.048795671769572e-6,-0.0017265193605242406,0.0017432555049482624,-0.000411267974162313,-0.00006356369297509494,0.00004824035039631783]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9953225646228475, -0.23694885857100378, -0.21788363374121078, 0.04861372539591416, 0.012612302910425541 ], [ 0.0053785459468269495, -0.02553981607802945, 0.03321756132779614, -0.004585020950946936, 0.09450707988651526, -0.022477135191994214, 0.045362071788484275, -0.0011848498198679253, 0.0027115924150012535 ], [ -0.00014210600053191717, -0.00029383032826176594, -0.014362852373053049, -0.008256621520692696, -0.011507520436300702, -0.006252349793245089, -0.005108809349257137, 0.0005201539951634115, 0.00003199560138499847 ], [ -0.0003337278981420247, -0.0011461606556141992, -0.00014395959951398244, -0.0011985383033575683, 0.0025591891038133654, 0.00026912360322305264, 0.000711209991087343, -0.00002125204721735029, 0.00022616496452836213 ], [ 0.00010769867521320266, 0.00021717869719886662, -0.000036430855786477383, 0.0008785612514344096, 0.00019916838525041184, 0.0003559921292547607, 0.0004077565849235124, 0.00002159577213509047, -0.0000081396865444876 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.3124567673834815, 0.030151683181554333, -0.015073934309166549, 0.012376221453233855 ], [ 0.002068359064613606, -0.01632800690636522, 0.07403022906721377, -0.08460618967346134, -0.13234753223449466, 0.08805531318544835, -0.00919766770888588, 0.009028795524901333, -0.002557835198969786 ], [ -0.0016333646060378729, 0.0013850373655401647, 0.00818069868648583, 0.012044017358671085, -0.028438486805914483, -0.016620357541501284, 0.0012096620724349697, 0.001562358444375143, 0.00003773840995317237 ], [ 0.00018127923306802358, 0.0004722334669692653, 0.0019007909434462277, -0.00006229759826954502, -0.004628002825448692, 0.0028210650165845577, -0.0023123007409823924, 0.0009193518735595752, -0.000060718180489971104 ], [ 0.00013094848463682577, -0.0007504887583869657, 0.0010199149916980778, -0.000009048795671769572, -0.0017265193605242406, 0.0017432555049482624, -0.000411267974162313, -0.00006356369297509494, 0.00004824035039631783 ] ]

DkftwcnPUD2gTkysTyMFBBJ

{"aspect_ratio": 10.858590988761774, "major_radius": 1.0, "max_elongation": 6.296757205641265, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07372618812355945, 0.1322124958992931, 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": [[0.7210573373252973, 0.7210573538014288, 0.7210580173580579, 0.7210632197839024, 0.7210841622928411, 0.7211434378761717, 0.721278580170903, 0.7215448068760113, 0.7220168136490415, 0.722789552112066, 0.7239779791407168, 0.7257158041022453, 0.7281532910253722, 0.7314541965080514, 0.7357919431097524, 0.7413451430626582, 0.7482925990614262, 0.7568079181318227, 0.7670538814730579, 0.7791767179592033, 0.7933004318445379, 0.8095213362666428, 0.8279029434589197, 0.8484713602160215, 0.8712113331164906, 0.8960630822837448, 0.922920055018867, 0.9516277213970542, 0.9819835227829592, 1.0137380710510489, 1.0465976809145505, 1.0802282999362436, 1.114260880214291, 1.1482982120170921, 1.181923212277386, 1.2147086291854379, 1.2462280872650304, 1.2760683540881503, 1.3038426585532, 1.32920482912136, 1.3518639452585757, 1.3715991016208768, 1.3882737646026628, 1.4018490423987167, 1.4123949717220063, 1.4200986087210756, 1.4252672236833526, 1.428324075500167, 1.4297926697188346, 1.4302617767450352, 1.4303113641996403], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.1744044177602307}

10.858591

1

6.296757

[ [ 0.7210573373252973, 0.7210573538014288, 0.7210580173580579, 0.7210632197839024, 0.7210841622928411, 0.7211434378761717, 0.721278580170903, 0.7215448068760113, 0.7220168136490415, 0.722789552112066, 0.7239779791407168, 0.7257158041022453, 0.7281532910253722, 0.7314541965080514, 0.7357919431097524, 0.7413451430626582, 0.7482925990614262, 0.7568079181318227, 0.7670538814730579, 0.7791767179592033, 0.7933004318445379, 0.8095213362666428, 0.8279029434589197, 0.8484713602160215, 0.8712113331164906, 0.8960630822837448, 0.922920055018867, 0.9516277213970542, 0.9819835227829592, 1.0137380710510489, 1.0465976809145505, 1.0802282999362436, 1.114260880214291, 1.1482982120170921, 1.181923212277386, 1.2147086291854379, 1.2462280872650304, 1.2760683540881503, 1.3038426585532, 1.32920482912136, 1.3518639452585757, 1.3715991016208768, 1.3882737646026628, 1.4018490423987167, 1.4123949717220063, 1.4200986087210756, 1.4252672236833526, 1.428324075500167, 1.4297926697188346, 1.4302617767450352, 1.4303113641996403 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.07372618812355945, 0.1322124958992931, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.174404

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

DNcxTFPeeMjGFR7S4eiEcgu

null

false

null

false

DFMK96ivy6VHgtgte7jzbT3

D2QyjpE3pCX2H6uHdUzbYzA

{"qi": 0.005990842190681256, "vacuum_well": 0.04637058169421426, "aspect_ratio": 9.328740123112253, "max_elongation": 5.946962198837379, "average_triangularity": 0.4513516537342468, "axis_magnetic_mirror_ratio": 0.26703779741956996, "edge_magnetic_mirror_ratio": 0.32106298603840827, "aspect_ratio_over_edge_rotational_transform": 81.33068783065646, "flux_compression_in_regions_of_bad_curvature": 0.3853350632196081, "axis_rotational_transform_over_n_field_periods": 0.15287163703967166, "edge_rotational_transform_over_n_field_periods": 0.11470135531788672, "minimum_normalized_magnetic_gradient_scale_length": 3.502380389709939}

9.32874

81.330688

0.426049

0.267038

0.152872

0.321063

0.114701

0.385335

5.946962

3.50238

0.005991

0.046371

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.024285034774492547,-0.21796530133042516,-0.01356744315766239,0.017607292553697234],[0.0015960806985537922,-0.017748455639620114,0.03207226943179471,-0.015132377866713922,0.08407803533827142,-0.029447337610510608,-0.002786021584757421,-0.003824632238790906,-0.0007109979510652544],[-0.0001062625028992558,0.0015348531596177458,-0.000921906132810445,-0.004520484340005582,-0.0056907979642418045,0.004014891016389975,0.005125540414951815,-0.0006594897163497916,0.001053559142459912],[0.0003610749594429621,-0.0006883562463778307,-0.0005526588685725453,0.0003663689496779526,-0.0012152959494892682,-0.0010143036391305124,0.00032929910410790634,0.0000650516710513776,-0.00023431886987325122],[-0.000026236928031138086,0.00008169236353443516,-0.00040252207126101737,0.000038533238967866645,0.0001685095703061329,0.0005038382970192941,-0.00013016409792214687,-0.00017356119292251697,0.00008706689650444922]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.02275934542058486,0.0025941776011908,0.00773331036740116,-0.0025736127147719095],[0.0009582004829870552,-0.01703916000562311,0.06579303334139584,0.0018453067690650873,-0.16846084088355343,-0.028169355075519775,-0.008002407663405417,0.0022390481833393467,-0.0009346773851070506],[0.0006225683862134277,-0.0015078881236963864,0.0018863663460383599,-0.01686627390441188,0.034816944966334515,0.008860554248975302,-0.003927911073695605,0.003618306382103996,-0.000055551242424043876],[-9.709697016291081e-6,-0.0010900905066144784,0.0004969268298393337,0.007783908667533368,-0.0022806979584301086,0.0033433424984932163,-0.00009371751589790583,-0.0008071993112436968,-0.00002220979818933908],[0.00001505320536663191,0.00023527398809863572,-0.0009513381644771621,0.0015482633101648181,0.0022917709473724785,-0.0021477769727621635,-0.00040384711536997826,0.0005182504838573057,-0.000031272310998396355]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.024285034774492547, -0.21796530133042516, -0.01356744315766239, 0.017607292553697234 ], [ 0.0015960806985537922, -0.017748455639620114, 0.03207226943179471, -0.015132377866713922, 0.08407803533827142, -0.029447337610510608, -0.002786021584757421, -0.003824632238790906, -0.0007109979510652544 ], [ -0.0001062625028992558, 0.0015348531596177458, -0.000921906132810445, -0.004520484340005582, -0.0056907979642418045, 0.004014891016389975, 0.005125540414951815, -0.0006594897163497916, 0.001053559142459912 ], [ 0.0003610749594429621, -0.0006883562463778307, -0.0005526588685725453, 0.0003663689496779526, -0.0012152959494892682, -0.0010143036391305124, 0.00032929910410790634, 0.0000650516710513776, -0.00023431886987325122 ], [ -0.000026236928031138086, 0.00008169236353443516, -0.00040252207126101737, 0.000038533238967866645, 0.0001685095703061329, 0.0005038382970192941, -0.00013016409792214687, -0.00017356119292251697, 0.00008706689650444922 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.02275934542058486, 0.0025941776011908, 0.00773331036740116, -0.0025736127147719095 ], [ 0.0009582004829870552, -0.01703916000562311, 0.06579303334139584, 0.0018453067690650873, -0.16846084088355343, -0.028169355075519775, -0.008002407663405417, 0.0022390481833393467, -0.0009346773851070506 ], [ 0.0006225683862134277, -0.0015078881236963864, 0.0018863663460383599, -0.01686627390441188, 0.034816944966334515, 0.008860554248975302, -0.003927911073695605, 0.003618306382103996, -0.000055551242424043876 ], [ -0.000009709697016291081, -0.0010900905066144784, 0.0004969268298393337, 0.007783908667533368, -0.0022806979584301086, 0.0033433424984932163, -0.00009371751589790583, -0.0008071993112436968, -0.00002220979818933908 ], [ 0.00001505320536663191, 0.00023527398809863572, -0.0009513381644771621, 0.0015482633101648181, 0.0022917709473724785, -0.0021477769727621635, -0.00040384711536997826, 0.0005182504838573057, -0.000031272310998396355 ] ]

D4cBVvriwMm9LmCCuYnbB5Q

{"aspect_ratio": 9.209841223131571, "major_radius": 1.0, "max_elongation": 5.541264145429791, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.06813395221823622, 0.38102129293516246, 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": [[0.7772407929409954, 0.7772409881543094, 0.7772453613548316, 0.7772691990599149, 0.7773434100671509, 0.7775160025077391, 0.7778519657330548, 0.7784320688074238, 0.7793508811872554, 0.7807142300872522, 0.7826362585347463, 0.785236216266758, 0.7886350937222849, 0.7929521933302104, 0.7983017199340179, 0.8047894622924532, 0.8125096293947454, 0.8215418983427133, 0.8319487244513802, 0.8437729587739169, 0.8570358132978045, 0.8717352094601952, 0.8878445412921561, 0.905311880342776, 0.9240596454860718, 0.9439847567147462, 0.9649592880174752, 0.986831630363611, 1.009428171621868, 1.0325554958534222, 1.0560030997718635, 1.079546619166733, 1.1029515526394742, 1.1259774639701459, 1.148382637653095, 1.169929154391025, 1.1903883443258683, 1.2095465651087172, 1.227211239003365, 1.2432170672612886, 1.2574323197853055, 1.2697650717484734, 1.2801692233758777, 1.288650089558676, 1.2952692735968818, 1.3001484276898487, 1.3034713181448163, 1.3054832789059159, 1.3064864492650354, 1.3068274673922975, 1.306867849852018], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.16605227359710978}

9.209841

1

5.541264

[ [ 0.7772407929409954, 0.7772409881543094, 0.7772453613548316, 0.7772691990599149, 0.7773434100671509, 0.7775160025077391, 0.7778519657330548, 0.7784320688074238, 0.7793508811872554, 0.7807142300872522, 0.7826362585347463, 0.785236216266758, 0.7886350937222849, 0.7929521933302104, 0.7983017199340179, 0.8047894622924532, 0.8125096293947454, 0.8215418983427133, 0.8319487244513802, 0.8437729587739169, 0.8570358132978045, 0.8717352094601952, 0.8878445412921561, 0.905311880342776, 0.9240596454860718, 0.9439847567147462, 0.9649592880174752, 0.986831630363611, 1.009428171621868, 1.0325554958534222, 1.0560030997718635, 1.079546619166733, 1.1029515526394742, 1.1259774639701459, 1.148382637653095, 1.169929154391025, 1.1903883443258683, 1.2095465651087172, 1.227211239003365, 1.2432170672612886, 1.2574323197853055, 1.2697650717484734, 1.2801692233758777, 1.288650089558676, 1.2952692735968818, 1.3001484276898487, 1.3034713181448163, 1.3054832789059159, 1.3064864492650354, 1.3068274673922975, 1.306867849852018 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.06813395221823622, 0.38102129293516246, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.166052

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

DmRfnrtrssGpfJyS6Meovjr

null

false

null

false

D9DnVVEfqM9NyBwG6qJdGYE

DnqxxfMfwkkr93aoJXB7JqB

{"qi": 0.054126980684161254, "vacuum_well": -0.07525760509021315, "aspect_ratio": 7.47597751840121, "max_elongation": 5.832733485166283, "average_triangularity": 0.025764271909761827, "axis_magnetic_mirror_ratio": 0.42750540044186586, "edge_magnetic_mirror_ratio": 0.5695068320312904, "aspect_ratio_over_edge_rotational_transform": 8.256766045606708, "flux_compression_in_regions_of_bad_curvature": 1.8793531901926739, "axis_rotational_transform_over_n_field_periods": 0.26685338608194953, "edge_rotational_transform_over_n_field_periods": 0.3018121734791899, "minimum_normalized_magnetic_gradient_scale_length": 6.023714628832408}

7.475978

8.256766

-0.277534

0.427505

0.266853

0.569507

0.301812

1.879353

5.832733

6.023715

0.054127

-0.075258

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.30821285954101696,0.07628113638211366,0.011756250168978325,0.0018696208055410037],[0.0023826490004260786,-0.004136716269635045,-0.015445756550732073,-0.14157435559566978,0.1336015794439593,0.059568894652276466,0.012156449499734066,-0.002283488223020702,-0.0007476116755828036],[-0.001475381661630412,0.003145394113857575,-0.01173582111847242,-0.013159899565988465,0.008498008654123495,-0.007229515834752327,-0.005043936473357591,-0.0006102580661588057,-0.0003668107814155816],[-0.000017600049817600912,0.001397206057356053,0.005470998941660017,-0.002805886679860093,-0.004176224275846222,-0.003736139804464347,-0.0006782468118920852,0.00025607957113146004,0.00015312445695251614],[-0.0006075397166874413,0.00013000002084929206,-0.00023739234849064604,-0.00008961799833880768,-0.0007574281186047639,-0.0007350492899043833,0.00019917136467674298,0.0001843068615942018,0.00001483557534881746]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04729538766096809,-0.054925492656942375,-0.016193573570549433,-0.002799183832946551],[-0.0012637005787438085,-0.003656014201996423,-0.014804125458636703,-0.01140857709435667,-0.11394269678123145,-0.03995215520836208,-0.002767424746580452,-0.0006323090783997363,7.5461747941367235e-6],[-0.0015841340164743306,0.003826586658375492,-0.0012579500091964573,-0.0209700209786639,0.004403682245318175,0.002183417063641677,0.005286290654705334,0.0012865090189591874,-0.00010731986980226031],[0.0001437136340392694,0.0029934637379308926,-0.0032130564967276054,0.005473676579762563,0.003479697384294239,0.003072748789329022,-0.0002933435359802508,-0.0003365272326828581,-0.00006147863202083699],[-0.00026950266535348,-0.0012970601219074063,0.0002339111387710017,0.0008473231824880731,0.0011269533005318017,0.00006462359167293551,-0.00007580269008716451,-0.0000844799143253016,0.00002642847248565474]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.30821285954101696, 0.07628113638211366, 0.011756250168978325, 0.0018696208055410037 ], [ 0.0023826490004260786, -0.004136716269635045, -0.015445756550732073, -0.14157435559566978, 0.1336015794439593, 0.059568894652276466, 0.012156449499734066, -0.002283488223020702, -0.0007476116755828036 ], [ -0.001475381661630412, 0.003145394113857575, -0.01173582111847242, -0.013159899565988465, 0.008498008654123495, -0.007229515834752327, -0.005043936473357591, -0.0006102580661588057, -0.0003668107814155816 ], [ -0.000017600049817600912, 0.001397206057356053, 0.005470998941660017, -0.002805886679860093, -0.004176224275846222, -0.003736139804464347, -0.0006782468118920852, 0.00025607957113146004, 0.00015312445695251614 ], [ -0.0006075397166874413, 0.00013000002084929206, -0.00023739234849064604, -0.00008961799833880768, -0.0007574281186047639, -0.0007350492899043833, 0.00019917136467674298, 0.0001843068615942018, 0.00001483557534881746 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04729538766096809, -0.054925492656942375, -0.016193573570549433, -0.002799183832946551 ], [ -0.0012637005787438085, -0.003656014201996423, -0.014804125458636703, -0.01140857709435667, -0.11394269678123145, -0.03995215520836208, -0.002767424746580452, -0.0006323090783997363, 0.0000075461747941367235 ], [ -0.0015841340164743306, 0.003826586658375492, -0.0012579500091964573, -0.0209700209786639, 0.004403682245318175, 0.002183417063641677, 0.005286290654705334, 0.0012865090189591874, -0.00010731986980226031 ], [ 0.0001437136340392694, 0.0029934637379308926, -0.0032130564967276054, 0.005473676579762563, 0.003479697384294239, 0.003072748789329022, -0.0002933435359802508, -0.0003365272326828581, -0.00006147863202083699 ], [ -0.00026950266535348, -0.0012970601219074063, 0.0002339111387710017, 0.0008473231824880731, 0.0011269533005318017, 0.00006462359167293551, -0.00007580269008716451, -0.0000844799143253016, 0.00002642847248565474 ] ]

DE2VvqcoZf4v6Zeyc2Srj4K

{"aspect_ratio": 7.336506112785293, "major_radius": 1.0, "max_elongation": 6.620946619906459, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.08531013008673789, 0.08362882164286572, 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": [[0.6042567406683652, 0.6042784179235587, 0.6045150667110245, 0.6053273752517508, 0.6071346881360012, 0.6103564596962439, 0.6153765680430077, 0.6225207120073986, 0.6320426878952686, 0.6441171352214188, 0.6588371540287467, 0.6762156388033953, 0.6961894450580488, 0.718625685676372, 0.7433295832029073, 0.7700534012028024, 0.7985060536997534, 0.8283630531494532, 0.8592765085749958, 0.8908849290998058, 0.9228226260073178, 0.9547285399244944, 0.986254349694193, 1.0170717466495542, 1.0468787828418404, 1.0754052246906012, 1.1024168648232966, 1.1277187647876008, 1.1511574200421104, 1.1726218563115254, 1.1920436831533405, 1.2093961465246768, 1.2246922373419062, 1.2379819275591166, 1.2493486192085939, 1.258904905191083, 1.2667877534096381, 1.273153238133472, 1.2781709542735302, 1.2820182615561986, 1.2848745163915043, 1.2869154595297907, 1.28830793735067, 1.2892051437689542, 1.2897425781736485, 1.2900349223725993, 1.2901740459165767, 1.290228353918626, 1.2902436935760027, 1.2902460327935978, 1.2902461100336136], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7549797260781821}

7.336506

1

6.620947

[ [ 0.6042567406683652, 0.6042784179235587, 0.6045150667110245, 0.6053273752517508, 0.6071346881360012, 0.6103564596962439, 0.6153765680430077, 0.6225207120073986, 0.6320426878952686, 0.6441171352214188, 0.6588371540287467, 0.6762156388033953, 0.6961894450580488, 0.718625685676372, 0.7433295832029073, 0.7700534012028024, 0.7985060536997534, 0.8283630531494532, 0.8592765085749958, 0.8908849290998058, 0.9228226260073178, 0.9547285399244944, 0.986254349694193, 1.0170717466495542, 1.0468787828418404, 1.0754052246906012, 1.1024168648232966, 1.1277187647876008, 1.1511574200421104, 1.1726218563115254, 1.1920436831533405, 1.2093961465246768, 1.2246922373419062, 1.2379819275591166, 1.2493486192085939, 1.258904905191083, 1.2667877534096381, 1.273153238133472, 1.2781709542735302, 1.2820182615561986, 1.2848745163915043, 1.2869154595297907, 1.28830793735067, 1.2892051437689542, 1.2897425781736485, 1.2900349223725993, 1.2901740459165767, 1.290228353918626, 1.2902436935760027, 1.2902460327935978, 1.2902461100336136 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.08531013008673789, 0.08362882164286572, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.75498

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

Dn9jSMMe6C9X98MbDvZxb3i

null

false

null

false

DMxLW4FeQu3WW8eyiMjHHpT

D4Svq2GELDfE6HCzYgiqu4J

{"qi": 0.00445843503814996, "vacuum_well": -0.07624748029075377, "aspect_ratio": 9.468306494958707, "max_elongation": 5.506911130064848, "average_triangularity": -0.26864331659636737, "axis_magnetic_mirror_ratio": 0.21085127736450132, "edge_magnetic_mirror_ratio": 0.26202835215557435, "aspect_ratio_over_edge_rotational_transform": 8.886338358793692, "flux_compression_in_regions_of_bad_curvature": 1.4224833997569821, "axis_rotational_transform_over_n_field_periods": 0.317262660949619, "edge_rotational_transform_over_n_field_periods": 0.2663725516817935, "minimum_normalized_magnetic_gradient_scale_length": 7.62496385010312}

9.468306

8.886338

-0.357396

0.210851

0.317263

0.262028

0.266373

1.422483

5.506911

7.624964

0.004458

-0.076247

{"r_cos":[[0.0,0.0,0.0,0.0,0.9987486864746883,-0.012634889561856115,-0.01661905899477538,0.003164008391743505,-0.00016188942146368182],[0.000698141865280565,-0.0009487061413909874,-0.007996853291590483,-0.07023990902032223,0.13625599370638214,-0.011519009430556247,-0.003987717121724802,0.0008315968644006179,-0.0002748450099309685],[-0.0015768342509300784,-0.00005166581683037732,0.005420359990298655,0.004874323822124948,-0.018039467529492592,0.012408599387597252,-0.0019702336714955177,5.45775515567253e-7,-0.00002016024931291013],[0.000049134533952023086,0.0010980308658501373,0.00025298853443153944,-0.0035196028145899013,0.004482360981072688,-0.0016604414465317663,-0.0003992842731095179,0.0006178072736217179,-0.0001697426945622296],[-0.000014666744174983285,-0.00027559275687081934,-0.0007151098331100557,0.0004462941358998689,-0.000653670052584837,-0.00012138125123073917,-0.00011255730189416386,0.0002076229917221868,-0.00005327182516972733]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.13166318520902595,0.01921707288999705,-0.001356360070343122,0.00017029550461799756],[0.0002689710520864274,-0.004328947119527977,-0.008889191778220118,-0.08870762038371278,-0.12948556901952513,0.028485818475836987,-0.0051193062537303905,0.00198351794151514,0.00006314129071768826],[-0.0006770906886342601,-0.002974331264036817,0.006648782172337299,0.00858008501389343,-0.013860929687838489,-0.0005479988171218156,-0.00004598278207702984,0.00029534016855755035,0.00021413040355119743],[0.00005066061950206837,0.0002589301564860043,-0.00046287561498924504,0.004479578701774242,-0.0032586249923827345,0.001919252595999396,-0.0008016744993500483,0.00003406997791087096,0.00011095782310021315],[0.000041837786673314624,0.0003466604405913858,0.00016087410769369067,-0.0007330002888699056,0.00029004950815617574,0.0009721393911898491,-0.0005021580675681809,0.000024342078674938043,0.00006651176715487896]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9987486864746883, -0.012634889561856115, -0.01661905899477538, 0.003164008391743505, -0.00016188942146368182 ], [ 0.000698141865280565, -0.0009487061413909874, -0.007996853291590483, -0.07023990902032223, 0.13625599370638214, -0.011519009430556247, -0.003987717121724802, 0.0008315968644006179, -0.0002748450099309685 ], [ -0.0015768342509300784, -0.00005166581683037732, 0.005420359990298655, 0.004874323822124948, -0.018039467529492592, 0.012408599387597252, -0.0019702336714955177, 5.45775515567253e-7, -0.00002016024931291013 ], [ 0.000049134533952023086, 0.0010980308658501373, 0.00025298853443153944, -0.0035196028145899013, 0.004482360981072688, -0.0016604414465317663, -0.0003992842731095179, 0.0006178072736217179, -0.0001697426945622296 ], [ -0.000014666744174983285, -0.00027559275687081934, -0.0007151098331100557, 0.0004462941358998689, -0.000653670052584837, -0.00012138125123073917, -0.00011255730189416386, 0.0002076229917221868, -0.00005327182516972733 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.13166318520902595, 0.01921707288999705, -0.001356360070343122, 0.00017029550461799756 ], [ 0.0002689710520864274, -0.004328947119527977, -0.008889191778220118, -0.08870762038371278, -0.12948556901952513, 0.028485818475836987, -0.0051193062537303905, 0.00198351794151514, 0.00006314129071768826 ], [ -0.0006770906886342601, -0.002974331264036817, 0.006648782172337299, 0.00858008501389343, -0.013860929687838489, -0.0005479988171218156, -0.00004598278207702984, 0.00029534016855755035, 0.00021413040355119743 ], [ 0.00005066061950206837, 0.0002589301564860043, -0.00046287561498924504, 0.004479578701774242, -0.0032586249923827345, 0.001919252595999396, -0.0008016744993500483, 0.00003406997791087096, 0.00011095782310021315 ], [ 0.000041837786673314624, 0.0003466604405913858, 0.00016087410769369067, -0.0007330002888699056, 0.00029004950815617574, 0.0009721393911898491, -0.0005021580675681809, 0.000024342078674938043, 0.00006651176715487896 ] ]

D295ChDspXioxzyR3JdqAEd

{"aspect_ratio": 9.12852339023246, "major_radius": 1.0, "max_elongation": 5.085630080071703, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0805842011628248, 0.14467221345721737, 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": [[0.7745787579126502, 0.7745797695105104, 0.7746008947892945, 0.774708916417949, 0.7750252822587237, 0.7757183939539601, 0.7769899751925622, 0.7790592137141745, 0.7821467722139022, 0.7864599584608009, 0.7921798517034674, 0.7994508492173227, 0.8083728593194951, 0.8189961929345297, 0.8313190764868894, 0.8452876131865931, 0.8607979501631317, 0.8777003601476221, 0.8958049146665736, 0.9148884080715968, 0.9347021858880887, 0.9549805350575444, 0.9754493061206885, 0.9958344569201417, 1.0158702328421392, 1.0353067289478797, 1.0539166136475657, 1.0715008310020773, 1.0878931385155268, 1.1029633786681339, 1.116619424726928, 1.1288077838781228, 1.1395128827789323, 1.148755101561939, 1.156587661471278, 1.1630925079829268, 1.1683753647536783, 1.1725601633118248, 1.1757830782539902, 1.1781864169847702, 1.1799126257729138, 1.1810986790151239, 1.1818711148331722, 1.1823419659654222, 1.1826058084623665, 1.1827381095031078, 1.1827949963494175, 1.1828144861040624, 1.1828191026037382, 1.1828196479809323, 1.182819659773815], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1303310428992184}

9.128523

1

5.08563

[ [ 0.7745787579126502, 0.7745797695105104, 0.7746008947892945, 0.774708916417949, 0.7750252822587237, 0.7757183939539601, 0.7769899751925622, 0.7790592137141745, 0.7821467722139022, 0.7864599584608009, 0.7921798517034674, 0.7994508492173227, 0.8083728593194951, 0.8189961929345297, 0.8313190764868894, 0.8452876131865931, 0.8607979501631317, 0.8777003601476221, 0.8958049146665736, 0.9148884080715968, 0.9347021858880887, 0.9549805350575444, 0.9754493061206885, 0.9958344569201417, 1.0158702328421392, 1.0353067289478797, 1.0539166136475657, 1.0715008310020773, 1.0878931385155268, 1.1029633786681339, 1.116619424726928, 1.1288077838781228, 1.1395128827789323, 1.148755101561939, 1.156587661471278, 1.1630925079829268, 1.1683753647536783, 1.1725601633118248, 1.1757830782539902, 1.1781864169847702, 1.1799126257729138, 1.1810986790151239, 1.1818711148331722, 1.1823419659654222, 1.1826058084623665, 1.1827381095031078, 1.1827949963494175, 1.1828144861040624, 1.1828191026037382, 1.1828196479809323, 1.182819659773815 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.0805842011628248, 0.14467221345721737, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.130331

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

D387qifBEuMYS7R2saSThA6

null

false

null

false

DB2YHiDHKt2Q8reicoxETFy

D5usBZR3ERpVxDk8rub5i3o

{"qi": 0.006991414968749442, "vacuum_well": -0.06225865034983856, "aspect_ratio": 9.421151567900242, "max_elongation": 4.978683218434092, "average_triangularity": -0.236853053501962, "axis_magnetic_mirror_ratio": 0.1418292939169462, "edge_magnetic_mirror_ratio": 0.21037136771798073, "aspect_ratio_over_edge_rotational_transform": 19.93172418244821, "flux_compression_in_regions_of_bad_curvature": 1.0022402533789108, "axis_rotational_transform_over_n_field_periods": 0.138239165549213, "edge_rotational_transform_over_n_field_periods": 0.11816779473845604, "minimum_normalized_magnetic_gradient_scale_length": 8.07396310992181}

9.421152

19.931724

-0.374591

0.141829

0.138239

0.210371

0.118168

1.00224

4.978683

8.073963

0.006991

-0.062259

{"r_cos":[[0.0,0.0,0.0,0.0,0.9998265146800288,-0.0009457947563851837,-0.0185921500904965,0.0005554715584562917,-0.0003201986507392319],[-0.00039187630895818986,-0.00355502553978716,-0.013785643817136728,-0.032248197765681816,0.14739563138968426,-0.010210660088346733,-0.004704970617771477,0.0005097059999146739,-0.0009060526406962434],[-0.00028121620727462486,0.0011077062396033545,0.004654688788662464,0.011208941358430246,-0.038483349091169926,0.007329831112898087,0.0008305921903057239,-0.00022633619834382687,-0.00011378691285529831],[0.000015665256600740964,-0.00013726544132847905,0.0018667634469987664,-0.001518216194994358,0.008348785170383729,-0.0017531383629987908,0.000042445513887157116,-0.00002187394947143681,-0.00001577996597465686],[0.000016308047090166155,0.00048744915478931574,-0.00006827338047280719,-0.0004579116816144416,-0.0014014555860203098,-0.00015736999728946767,0.0001367781393286304,-0.00005579390597521103,0.000026071164797199167]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1285245384798559,0.0017319018715781578,-0.0011112989397956286,0.0005548458672691819],[0.00003484274571951672,-0.0017239773021768428,-0.005730832174646719,-0.07016683960803584,-0.08901422105092827,0.049671436303662914,-0.005577679195000311,0.0032542146762326485,0.00010194833827672012],[0.0001429146133374897,0.00021350053955939015,0.0004967288397265922,0.008042599352589113,-0.0035397995120015763,-0.0076435600304539855,0.0008831197435961522,0.00019422717395956046,-0.00010816979769008507],[0.0001102574484096813,-0.0005254478515540321,-0.0005267028417539701,0.002325650420796217,0.002091075800872931,-0.0014451059284530418,0.0005819943116613026,-0.00018489023898813164,0.00010981941275601397],[-0.00008101128857740457,-0.00010731652055418191,0.00047602915722827217,-0.0003623453331177087,0.00004502942766269446,0.0008973039876878506,-0.00009201617933505128,-0.00006934022159365432,1.6281650653646347e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9998265146800288, -0.0009457947563851837, -0.0185921500904965, 0.0005554715584562917, -0.0003201986507392319 ], [ -0.00039187630895818986, -0.00355502553978716, -0.013785643817136728, -0.032248197765681816, 0.14739563138968426, -0.010210660088346733, -0.004704970617771477, 0.0005097059999146739, -0.0009060526406962434 ], [ -0.00028121620727462486, 0.0011077062396033545, 0.004654688788662464, 0.011208941358430246, -0.038483349091169926, 0.007329831112898087, 0.0008305921903057239, -0.00022633619834382687, -0.00011378691285529831 ], [ 0.000015665256600740964, -0.00013726544132847905, 0.0018667634469987664, -0.001518216194994358, 0.008348785170383729, -0.0017531383629987908, 0.000042445513887157116, -0.00002187394947143681, -0.00001577996597465686 ], [ 0.000016308047090166155, 0.00048744915478931574, -0.00006827338047280719, -0.0004579116816144416, -0.0014014555860203098, -0.00015736999728946767, 0.0001367781393286304, -0.00005579390597521103, 0.000026071164797199167 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1285245384798559, 0.0017319018715781578, -0.0011112989397956286, 0.0005548458672691819 ], [ 0.00003484274571951672, -0.0017239773021768428, -0.005730832174646719, -0.07016683960803584, -0.08901422105092827, 0.049671436303662914, -0.005577679195000311, 0.0032542146762326485, 0.00010194833827672012 ], [ 0.0001429146133374897, 0.00021350053955939015, 0.0004967288397265922, 0.008042599352589113, -0.0035397995120015763, -0.0076435600304539855, 0.0008831197435961522, 0.00019422717395956046, -0.00010816979769008507 ], [ 0.0001102574484096813, -0.0005254478515540321, -0.0005267028417539701, 0.002325650420796217, 0.002091075800872931, -0.0014451059284530418, 0.0005819943116613026, -0.00018489023898813164, 0.00010981941275601397 ], [ -0.00008101128857740457, -0.00010731652055418191, 0.00047602915722827217, -0.0003623453331177087, 0.00004502942766269446, 0.0008973039876878506, -0.00009201617933505128, -0.00006934022159365432, 0.0000016281650653646347 ] ]

D2bj3U8DL9NKDj2MayCnHU5

{"aspect_ratio": 9.115977539469855, "major_radius": 1.0, "max_elongation": 4.554057597243721, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1634184946795189, 0.33699735597252395, 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": [[0.8829356324925768, 0.8829356950991252, 0.8829370696307731, 0.8829445187724889, 0.8829677391126414, 0.8830220324951519, 0.8831285704386421, 0.8833143732128824, 0.8836120698559463, 0.8840594826207372, 0.8846990675130252, 0.8855772356252973, 0.8867435755330774, 0.888249994030081, 0.890149790386194, 0.8924966778122796, 0.8953437647275077, 0.8987425076363692, 0.902741646862156, 0.9073861360047696, 0.9127160757627837, 0.9187656626633797, 0.9255621632678935, 0.9331249245604063, 0.9414644314827161, 0.9505814229568859, 0.9604660782474231, 0.9710972861759973, 0.9824420105365196, 0.9944547661004306, 1.007077220895839, 1.0202379420501193, 1.033852304485643, 1.0478225842648001, 1.0620382615492654, 1.0763765621894028, 1.090703272208566, 1.104873866357116, 1.1187350011785555, 1.1321264357311802, 1.1448834609587546, 1.1568399445410142, 1.1678321367784712, 1.177703443572213, 1.1863104720169468, 1.1935308282531678, 1.1992734777681786, 1.2034931775634274, 1.20621221633773, 1.2075581673176206, 1.2078568223658328], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5072122088655638}

9.115978

1

4.554058

[ [ 0.8829356324925768, 0.8829356950991252, 0.8829370696307731, 0.8829445187724889, 0.8829677391126414, 0.8830220324951519, 0.8831285704386421, 0.8833143732128824, 0.8836120698559463, 0.8840594826207372, 0.8846990675130252, 0.8855772356252973, 0.8867435755330774, 0.888249994030081, 0.890149790386194, 0.8924966778122796, 0.8953437647275077, 0.8987425076363692, 0.902741646862156, 0.9073861360047696, 0.9127160757627837, 0.9187656626633797, 0.9255621632678935, 0.9331249245604063, 0.9414644314827161, 0.9505814229568859, 0.9604660782474231, 0.9710972861759973, 0.9824420105365196, 0.9944547661004306, 1.007077220895839, 1.0202379420501193, 1.033852304485643, 1.0478225842648001, 1.0620382615492654, 1.0763765621894028, 1.090703272208566, 1.104873866357116, 1.1187350011785555, 1.1321264357311802, 1.1448834609587546, 1.1568399445410142, 1.1678321367784712, 1.177703443572213, 1.1863104720169468, 1.1935308282531678, 1.1992734777681786, 1.2034931775634274, 1.20621221633773, 1.2075581673176206, 1.2078568223658328 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1634184946795189, 0.33699735597252395, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.507212

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

DM9zz8RUBcJ5Uvx8oyrsBAS

null

false

null

false

DELuK6yUZTGrksvqVDeodfi

DU9A7TZNbRjkLvtgc8aua7a

{"qi": 0.007973818464851084, "vacuum_well": -0.0036029233466485155, "aspect_ratio": 9.880909906651304, "max_elongation": 5.470963600390379, "average_triangularity": -0.08702454018533205, "axis_magnetic_mirror_ratio": 0.2343276367837681, "edge_magnetic_mirror_ratio": 0.2734032717554928, "aspect_ratio_over_edge_rotational_transform": 101.60610607476497, "flux_compression_in_regions_of_bad_curvature": 0.5404340528739301, "axis_rotational_transform_over_n_field_periods": 0.11349665553044463, "edge_rotational_transform_over_n_field_periods": 0.09724720578683155, "minimum_normalized_magnetic_gradient_scale_length": 5.736421159939566}

9.88091

101.606106

-0.00138

0.234328

0.113497

0.273403

0.097247

0.540434

5.470964

5.736421

0.007974

-0.003603

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0042929608694413455,-0.20443531145992136,0.0017885935279012544,0.013795933647209796],[0.001715371089423818,-0.007547657840675041,0.024143947492692216,-0.01089270347808184,0.08172131259039224,-0.013725304452742735,0.00893508771971743,-0.00014784566506957511,-0.00047791940060400975],[-0.00031880207677405876,0.0004506699990062605,-0.00284405353995623,-0.0002536723166012935,-0.0037716507417010986,-0.0022316300746739693,-0.0007838472197729779,-0.0012396108191565281,0.00009469329240825139],[-0.0003193165583163574,-0.00033518248966966317,-0.002896844325645358,-0.000809471788781375,-0.002230683985462637,0.0008161352224279081,-0.000049648860522101936,-0.00042758230965244455,0.00004529719844040649],[0.00013054907594978784,0.00008408547517666041,0.000752377547471979,0.0012454835549449896,0.0008387320406061461,-0.00037932887077334564,0.00030880554136849874,0.00018489476688924797,0.000054375568422486726]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.0047738581234185356,0.012095213297572472,-0.0055554784098851995,-0.0011017107743417024],[-0.002708052173769321,-0.0031169142532075037,0.047809909956011934,-0.005822376814910435,-0.14031183433132688,0.004238770035193419,0.01970643768628917,0.002191040786050674,-0.0008605810495972457],[0.00006873589870943272,-0.0004090312457521475,0.00007838801610216602,-0.000010157824058204274,0.008653478745470261,-0.00212075578194587,-0.0073937906968829775,0.0009676423938052861,0.0008498069258981661],[-0.0007658357429865437,-0.0005620006438553479,-0.000625984983114931,0.005652076070485249,0.02172658505471599,-0.002436174234287166,-0.006439702869349598,-0.00008361855353898384,0.00037101860261813213],[-0.0002004822876086234,0.0001279176213350461,0.0014499948674676442,-0.0005873546381219929,-0.0020647685825085946,0.0004626183488959048,0.0010517891932653716,-0.00019127182934673947,-0.00022293659233144528]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.0042929608694413455, -0.20443531145992136, 0.0017885935279012544, 0.013795933647209796 ], [ 0.001715371089423818, -0.007547657840675041, 0.024143947492692216, -0.01089270347808184, 0.08172131259039224, -0.013725304452742735, 0.00893508771971743, -0.00014784566506957511, -0.00047791940060400975 ], [ -0.00031880207677405876, 0.0004506699990062605, -0.00284405353995623, -0.0002536723166012935, -0.0037716507417010986, -0.0022316300746739693, -0.0007838472197729779, -0.0012396108191565281, 0.00009469329240825139 ], [ -0.0003193165583163574, -0.00033518248966966317, -0.002896844325645358, -0.000809471788781375, -0.002230683985462637, 0.0008161352224279081, -0.000049648860522101936, -0.00042758230965244455, 0.00004529719844040649 ], [ 0.00013054907594978784, 0.00008408547517666041, 0.000752377547471979, 0.0012454835549449896, 0.0008387320406061461, -0.00037932887077334564, 0.00030880554136849874, 0.00018489476688924797, 0.000054375568422486726 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.0047738581234185356, 0.012095213297572472, -0.0055554784098851995, -0.0011017107743417024 ], [ -0.002708052173769321, -0.0031169142532075037, 0.047809909956011934, -0.005822376814910435, -0.14031183433132688, 0.004238770035193419, 0.01970643768628917, 0.002191040786050674, -0.0008605810495972457 ], [ 0.00006873589870943272, -0.0004090312457521475, 0.00007838801610216602, -0.000010157824058204274, 0.008653478745470261, -0.00212075578194587, -0.0073937906968829775, 0.0009676423938052861, 0.0008498069258981661 ], [ -0.0007658357429865437, -0.0005620006438553479, -0.000625984983114931, 0.005652076070485249, 0.02172658505471599, -0.002436174234287166, -0.006439702869349598, -0.00008361855353898384, 0.00037101860261813213 ], [ -0.0002004822876086234, 0.0001279176213350461, 0.0014499948674676442, -0.0005873546381219929, -0.0020647685825085946, 0.0004626183488959048, 0.0010517891932653716, -0.00019127182934673947, -0.00022293659233144528 ] ]

DEAtfzhdZ2YUGGotveVRuZ7

{"aspect_ratio": 11.141379623225138, "major_radius": 1.0, "max_elongation": 5.322590347230165, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.11776527743253597, 0.07571901615969628, 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": [[0.8598360566287202, 0.8598360577935041, 0.8598361110269135, 0.8598365680678954, 0.8598385507017303, 0.8598445433586223, 0.8598590530417801, 0.8598893005099999, 0.8599459149247639, 0.8600436088981985, 0.8602018139735066, 0.8604452587698845, 0.860804473677742, 0.8613162072845529, 0.8620237407569994, 0.862977087270309, 0.8642330643065252, 0.8658552272713641, 0.8679136534267492, 0.8704845656196222, 0.8736497857196744, 0.8774960080689376, 0.882113883602419, 0.8875969056274995, 0.8940400885559326, 0.9015384311706918, 0.9101851562848187, 0.9200697189149519, 0.9312755753524435, 0.9438777057743685, 0.9579398833003124, 0.9735116826746456, 0.990625222045665, 1.0092916316325218, 1.0294972434318668, 1.0511994965378122, 1.0743225531588942, 1.0987526210557728, 1.1243329789572942, 1.1508587026419899, 1.1780710909647238, 1.205651793452014, 1.233216644702722, 1.260309216698787, 1.2863941102561265, 1.3108500256451334, 1.332962690691695, 1.351917812815215, 1.3667944635171958, 1.376560190374073, 1.3800758290644208], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.10032616952597298}

11.14138

1

5.32259

[ [ 0.8598360566287202, 0.8598360577935041, 0.8598361110269135, 0.8598365680678954, 0.8598385507017303, 0.8598445433586223, 0.8598590530417801, 0.8598893005099999, 0.8599459149247639, 0.8600436088981985, 0.8602018139735066, 0.8604452587698845, 0.860804473677742, 0.8613162072845529, 0.8620237407569994, 0.862977087270309, 0.8642330643065252, 0.8658552272713641, 0.8679136534267492, 0.8704845656196222, 0.8736497857196744, 0.8774960080689376, 0.882113883602419, 0.8875969056274995, 0.8940400885559326, 0.9015384311706918, 0.9101851562848187, 0.9200697189149519, 0.9312755753524435, 0.9438777057743685, 0.9579398833003124, 0.9735116826746456, 0.990625222045665, 1.0092916316325218, 1.0294972434318668, 1.0511994965378122, 1.0743225531588942, 1.0987526210557728, 1.1243329789572942, 1.1508587026419899, 1.1780710909647238, 1.205651793452014, 1.233216644702722, 1.260309216698787, 1.2863941102561265, 1.3108500256451334, 1.332962690691695, 1.351917812815215, 1.3667944635171958, 1.376560190374073, 1.3800758290644208 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.11776527743253597, 0.07571901615969628, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.100326

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

D899gHPZvs2VwjfeD5s7NuX

null

false

null

false

DfHHuc9qom6jkkfn4S2Yis5

DXrhfQfgtUvRxRNoCfRzDwx

{"qi": 0.004699390888192487, "vacuum_well": 0.021516175621372265, "aspect_ratio": 9.159875293881331, "max_elongation": 6.9395936356424395, "average_triangularity": 0.42791026213640504, "axis_magnetic_mirror_ratio": 0.3599980624187885, "edge_magnetic_mirror_ratio": 0.453778976586818, "aspect_ratio_over_edge_rotational_transform": 19.45493876090613, "flux_compression_in_regions_of_bad_curvature": 0.5989469671705712, "axis_rotational_transform_over_n_field_periods": 0.17727339556285215, "edge_rotational_transform_over_n_field_periods": 0.11770629821112197, "minimum_normalized_magnetic_gradient_scale_length": 4.715587788062164}

9.159875

19.454939

0.874669

0.359998

0.177273

0.453779

0.117706

0.598947

6.939594

4.715588

0.004699

0.021516

{"r_cos":[[0.0,0.0,0.0,0.0,0.9955189432932048,0.04796534045822051,-0.00624684081677326,-0.005362796677899357,-0.00029488157538412347],[0.0009952132128868535,0.0018672402837237542,0.003937650102639426,-0.06010735005293403,0.08644627552341023,0.0027555604091943423,-0.0037871698218901622,-0.001503811496490589,0.00013031249265336422],[0.0005843117107679282,-0.0036959577249015938,0.0061100677660038405,0.005366800040201409,0.03173335336561152,-0.013196148413095514,0.0016046419669877641,0.0003202939238158395,0.0002027418717311461],[0.000725421366624822,-0.0027021126696417626,-0.004733039326942239,-0.000374149826839457,0.002033737131858688,0.003986893318882706,0.002025136877063023,-0.000017845730409349163,-0.00010790778816936899],[0.000632290415074563,-0.0002708010987668818,-0.0002538391889183421,-0.0014850170968540525,0.0006049838288206262,0.0006284110352781907,0.00048720314295633076,-0.00015887603546154544,0.000054330572298754234]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.043310763138086544,-0.006052828220127431,0.00126844376038312,0.00040356473083926446],[0.0007324910491795409,0.0003585795142051927,0.004341688935200136,-0.04226160375406414,-0.15508628698973884,-0.01077925521930546,-0.004417415644687688,0.002056484010547476,0.0006106657021456273],[-0.00009597918397009932,-0.0017365444418178954,0.014129038578286237,-0.0031238649543982025,-0.021711921964615938,-0.0029716541490933685,0.0023909846983774363,0.0006478392857233708,-0.00016868989358364772],[0.00033553721592923164,-0.002522885521353107,0.004814896876927695,-0.007597079583860607,0.003599725102737407,0.00353753919536497,-0.0017334470810604645,-0.0002789220572884427,-0.000023831932763694093],[0.00003476947024596666,0.00026883958477114887,0.00020956030983087528,-0.0001482946703820657,0.0003835160898960578,-0.00048138655424728,-0.0006990403433883728,0.00018113443985954048,-0.00008214864703331374]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9955189432932048, 0.04796534045822051, -0.00624684081677326, -0.005362796677899357, -0.00029488157538412347 ], [ 0.0009952132128868535, 0.0018672402837237542, 0.003937650102639426, -0.06010735005293403, 0.08644627552341023, 0.0027555604091943423, -0.0037871698218901622, -0.001503811496490589, 0.00013031249265336422 ], [ 0.0005843117107679282, -0.0036959577249015938, 0.0061100677660038405, 0.005366800040201409, 0.03173335336561152, -0.013196148413095514, 0.0016046419669877641, 0.0003202939238158395, 0.0002027418717311461 ], [ 0.000725421366624822, -0.0027021126696417626, -0.004733039326942239, -0.000374149826839457, 0.002033737131858688, 0.003986893318882706, 0.002025136877063023, -0.000017845730409349163, -0.00010790778816936899 ], [ 0.000632290415074563, -0.0002708010987668818, -0.0002538391889183421, -0.0014850170968540525, 0.0006049838288206262, 0.0006284110352781907, 0.00048720314295633076, -0.00015887603546154544, 0.000054330572298754234 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.043310763138086544, -0.006052828220127431, 0.00126844376038312, 0.00040356473083926446 ], [ 0.0007324910491795409, 0.0003585795142051927, 0.004341688935200136, -0.04226160375406414, -0.15508628698973884, -0.01077925521930546, -0.004417415644687688, 0.002056484010547476, 0.0006106657021456273 ], [ -0.00009597918397009932, -0.0017365444418178954, 0.014129038578286237, -0.0031238649543982025, -0.021711921964615938, -0.0029716541490933685, 0.0023909846983774363, 0.0006478392857233708, -0.00016868989358364772 ], [ 0.00033553721592923164, -0.002522885521353107, 0.004814896876927695, -0.007597079583860607, 0.003599725102737407, 0.00353753919536497, -0.0017334470810604645, -0.0002789220572884427, -0.000023831932763694093 ], [ 0.00003476947024596666, 0.00026883958477114887, 0.00020956030983087528, -0.0001482946703820657, 0.0003835160898960578, -0.00048138655424728, -0.0006990403433883728, 0.00018113443985954048, -0.00008214864703331374 ] ]

DbUXBYLNnpYCyd5sJA5gNYG

{"aspect_ratio": 9.214524736617586, "major_radius": 1.0, "max_elongation": 6.613181766243925, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.34559715095898136, 0.3322872339666158, 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": [[0.6681871634728243, 0.6681875160705711, 0.6681953917155046, 0.6682381439805007, 0.668370611864823, 0.6686771274105986, 0.6692705896820779, 0.6702895997677347, 0.6718942591134603, 0.6742610562250871, 0.6775771661940777, 0.6820344225286946, 0.6878231749740565, 0.6951262125917015, 0.7041129042107986, 0.7149336860751669, 0.7277150076249324, 0.742554829916065, 0.7595187565483048, 0.7786368636853329, 0.7999012834761688, 0.8232645836703054, 0.8486389752622718, 0.8758963694424096, 0.904869294832835, 0.9353526758301709, 0.9671064627482624, 0.9998590942471265, 1.0333117621397987, 1.0671434379710938, 1.1010166096342662, 1.1345836645872969, 1.167493843777648, 1.1994006769728411, 1.2299697955619007, 1.2588870027038617, 1.2858664625145588, 1.3106588492124183, 1.3330592729786561, 1.3529147705867843, 1.370131113967348, 1.3846786463218228, 1.3965967993420403, 1.4059968702995258, 1.4130625336134481, 1.4180474086717347, 1.421268766181706, 1.4230960463131168, 1.4239320747869204, 1.424183043970609, 1.424207324728744], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7171864616482331}

9.214525

1

6.613182

[ [ 0.6681871634728243, 0.6681875160705711, 0.6681953917155046, 0.6682381439805007, 0.668370611864823, 0.6686771274105986, 0.6692705896820779, 0.6702895997677347, 0.6718942591134603, 0.6742610562250871, 0.6775771661940777, 0.6820344225286946, 0.6878231749740565, 0.6951262125917015, 0.7041129042107986, 0.7149336860751669, 0.7277150076249324, 0.742554829916065, 0.7595187565483048, 0.7786368636853329, 0.7999012834761688, 0.8232645836703054, 0.8486389752622718, 0.8758963694424096, 0.904869294832835, 0.9353526758301709, 0.9671064627482624, 0.9998590942471265, 1.0333117621397987, 1.0671434379710938, 1.1010166096342662, 1.1345836645872969, 1.167493843777648, 1.1994006769728411, 1.2299697955619007, 1.2588870027038617, 1.2858664625145588, 1.3106588492124183, 1.3330592729786561, 1.3529147705867843, 1.370131113967348, 1.3846786463218228, 1.3965967993420403, 1.4059968702995258, 1.4130625336134481, 1.4180474086717347, 1.421268766181706, 1.4230960463131168, 1.4239320747869204, 1.424183043970609, 1.424207324728744 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.34559715095898136, 0.3322872339666158, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.717186

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

DbwxNwnZaapdDetZuEY2vRh

null

false

null

false

DQdzB9YKicazLwnyLGz3RGg

DnHu4xhdfwRJdruq4yLHswS

{"qi": 0.001433263373324914, "vacuum_well": -0.039296780279370724, "aspect_ratio": 7.534338520191593, "max_elongation": 7.968701432849454, "average_triangularity": 0.22945237796554088, "axis_magnetic_mirror_ratio": 0.3234194235570955, "edge_magnetic_mirror_ratio": 0.4085038853286153, "aspect_ratio_over_edge_rotational_transform": 18.49674760094373, "flux_compression_in_regions_of_bad_curvature": 2.271071881667859, "axis_rotational_transform_over_n_field_periods": 0.1364896979204611, "edge_rotational_transform_over_n_field_periods": 0.10183328824532346, "minimum_normalized_magnetic_gradient_scale_length": 3.5315099746042438}

7.534339

18.496748

0.2808

0.323419

0.13649

0.408504

0.101833

2.271072

7.968701

3.53151

0.001433

-0.039297

{"r_cos":[[0.0,0.0,0.0,0.0,0.9938039956764554,-0.0018772422142011207,-0.007917883178925228,0.0011318137197219584,-0.0001581098192942323],[-0.00012500471976387736,-0.004168485158102172,0.0020875432782364207,-0.08513282847652977,0.22548512820739766,-0.01709901481790449,-0.015096129843470595,-0.005750412651852394,0.0006765179023452293],[0.001474275924417364,0.00011244293816661455,0.006876592369670623,0.007237217372967022,-0.02079100323928877,-0.0071808465578857205,0.002575989012590318,0.00033929888832499075,0.00016202686667196283],[-0.00025679919238730394,-0.0006349445874025077,-0.0007809580661690711,-0.0019172159619045453,0.0046415842272305545,0.001798095104167421,-0.00034947871199621445,-0.0002469405268880682,-0.0001180712161323147],[0.00006107979507037865,0.00018756355084103898,-0.00005295758985194489,0.000047796982079559264,-0.00011463654040578392,-0.0003386358990279184,-0.00010773486874451763,-0.00007294122371114204,3.4012695277045748e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.39132782602418836,0.017358637003919077,-0.010896144675907778,0.0028805385108961086],[-0.0009763898020985484,-0.002662833400277902,-0.01805893119319199,-0.04824784196175891,-0.0914892738992925,0.031236065426314755,-2.741186165364923e-7,0.004279667911324886,-0.0000642849402014067],[0.0016725581087060877,-0.0018399706495877363,0.010930448409647065,-0.005370194149705139,-0.0046882906250740606,-0.0023799264043410317,0.0008286051682642962,-0.0012257952007957082,-0.00005238471107734462],[-0.0001435825797632721,-0.00031829007201420215,-0.003470122869211399,0.002927294335846575,-0.002126950361930939,-0.0038744679825667774,-0.0019061608153751394,0.00033868984522834303,-0.00001119615214222546],[-0.00018886202270515973,-0.00005371128871363693,-0.00033054874550328547,-0.0012959679484845937,-0.0012506188753268342,-0.000016273683089695293,0.0005583566743628754,-0.0001397112608821292,0.000025995134170067645]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9938039956764554, -0.0018772422142011207, -0.007917883178925228, 0.0011318137197219584, -0.0001581098192942323 ], [ -0.00012500471976387736, -0.004168485158102172, 0.0020875432782364207, -0.08513282847652977, 0.22548512820739766, -0.01709901481790449, -0.015096129843470595, -0.005750412651852394, 0.0006765179023452293 ], [ 0.001474275924417364, 0.00011244293816661455, 0.006876592369670623, 0.007237217372967022, -0.02079100323928877, -0.0071808465578857205, 0.002575989012590318, 0.00033929888832499075, 0.00016202686667196283 ], [ -0.00025679919238730394, -0.0006349445874025077, -0.0007809580661690711, -0.0019172159619045453, 0.0046415842272305545, 0.001798095104167421, -0.00034947871199621445, -0.0002469405268880682, -0.0001180712161323147 ], [ 0.00006107979507037865, 0.00018756355084103898, -0.00005295758985194489, 0.000047796982079559264, -0.00011463654040578392, -0.0003386358990279184, -0.00010773486874451763, -0.00007294122371114204, 0.0000034012695277045748 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.39132782602418836, 0.017358637003919077, -0.010896144675907778, 0.0028805385108961086 ], [ -0.0009763898020985484, -0.002662833400277902, -0.01805893119319199, -0.04824784196175891, -0.0914892738992925, 0.031236065426314755, -2.741186165364923e-7, 0.004279667911324886, -0.0000642849402014067 ], [ 0.0016725581087060877, -0.0018399706495877363, 0.010930448409647065, -0.005370194149705139, -0.0046882906250740606, -0.0023799264043410317, 0.0008286051682642962, -0.0012257952007957082, -0.00005238471107734462 ], [ -0.0001435825797632721, -0.00031829007201420215, -0.003470122869211399, 0.002927294335846575, -0.002126950361930939, -0.0038744679825667774, -0.0019061608153751394, 0.00033868984522834303, -0.00001119615214222546 ], [ -0.00018886202270515973, -0.00005371128871363693, -0.00033054874550328547, -0.0012959679484845937, -0.0012506188753268342, -0.000016273683089695293, 0.0005583566743628754, -0.0001397112608821292, 0.000025995134170067645 ] ]

D3PrJNjFcq6WBhquvJvUBHx

{"aspect_ratio": 7.448390278252534, "major_radius": 1.0, "max_elongation": 6.539138804170246, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.21444366783744587, 0.28320283923290807, 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": [[0.6780158641371796, 0.6780198010343416, 0.6780663765469364, 0.6782377573874664, 0.6786441831772133, 0.6794142197338013, 0.6806876933052003, 0.6826100475459937, 0.6853276456045386, 0.6889837757143528, 0.6937152188214653, 0.6996492873594016, 0.7069012728901558, 0.7155722578730102, 0.725747258265783, 0.7374936715019318, 0.7508600099792151, 0.7658749043260077, 0.7825463638570627, 0.8008612840945305, 0.8207851932121264, 0.8422622308968453, 0.8652153545097615, 0.8895467686354984, 0.9151385751922068, 0.941853642272614, 0.969536690837211, 0.9980155993143425, 1.0271029271088157, 1.0565976590113375, 1.0862871735694455, 1.1159494396659901, 1.1453554469022211, 1.1742718769611906, 1.202464025015871, 1.2296989825574534, 1.255749095910143, 1.280395718395781, 1.3034332789490854, 1.3246736964699521, 1.3439511781292068, 1.36112745251164, 1.3760975070742876, 1.3887959278085273, 1.3992039845473583, 1.4073576828741774, 1.413357145892438, 1.417377978161916, 1.4196859420063306, 1.4206582749099503, 1.420824657540685], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5668155148831753}

7.44839

1

6.539139

[ [ 0.6780158641371796, 0.6780198010343416, 0.6780663765469364, 0.6782377573874664, 0.6786441831772133, 0.6794142197338013, 0.6806876933052003, 0.6826100475459937, 0.6853276456045386, 0.6889837757143528, 0.6937152188214653, 0.6996492873594016, 0.7069012728901558, 0.7155722578730102, 0.725747258265783, 0.7374936715019318, 0.7508600099792151, 0.7658749043260077, 0.7825463638570627, 0.8008612840945305, 0.8207851932121264, 0.8422622308968453, 0.8652153545097615, 0.8895467686354984, 0.9151385751922068, 0.941853642272614, 0.969536690837211, 0.9980155993143425, 1.0271029271088157, 1.0565976590113375, 1.0862871735694455, 1.1159494396659901, 1.1453554469022211, 1.1742718769611906, 1.202464025015871, 1.2296989825574534, 1.255749095910143, 1.280395718395781, 1.3034332789490854, 1.3246736964699521, 1.3439511781292068, 1.36112745251164, 1.3760975070742876, 1.3887959278085273, 1.3992039845473583, 1.4073576828741774, 1.413357145892438, 1.417377978161916, 1.4196859420063306, 1.4206582749099503, 1.420824657540685 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.21444366783744587, 0.28320283923290807, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.566816

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

DaEgereEGfitAf8JCy5QR2c

null

false

null

false

DFvofwHBHGAWkVzngYT6QR4

DbWt8RiZmFi8V2XC8TCeLe7

{"qi": 0.007573267421975039, "vacuum_well": -0.08100115401530492, "aspect_ratio": 9.177667165305131, "max_elongation": 5.218078505220182, "average_triangularity": -0.260321778113262, "axis_magnetic_mirror_ratio": 0.15489585089458088, "edge_magnetic_mirror_ratio": 0.23522199595360543, "aspect_ratio_over_edge_rotational_transform": 19.871749769613036, "flux_compression_in_regions_of_bad_curvature": 1.0985037920814515, "axis_rotational_transform_over_n_field_periods": 0.13393061866356684, "edge_rotational_transform_over_n_field_periods": 0.1154612360726683, "minimum_normalized_magnetic_gradient_scale_length": 7.0136785138991815}

9.177667

19.87175

-0.387578

0.154896

0.133931

0.235222

0.115461

1.098504

5.218079

7.013679

0.007573

-0.081001

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991625181143199,-0.00934642646062309,-0.022407026732603693,0.0023992386845596344,0.00009071374006437618],[0.00007204053953878458,-0.002757435886225728,-0.020418632820779818,-0.03720391100722707,0.1557546069207278,-0.00497933576931673,-0.008606063160836463,0.0005733332142878456,-0.0007603838756709664],[-0.0003031569418282292,0.0017610682270001062,0.002629038619695568,0.007669829286788584,-0.0311504360724963,0.016460514961052344,-0.003222038681562838,-0.00019880646276290432,-0.00011665242043890916],[0.0001781213848281959,0.000045479306962518165,0.000418348035057804,0.0018650731379597587,0.004451826099421442,-0.004519064877417713,0.0016338063801813532,-0.0004433484670722026,-0.00010511037171360295],[0.00011764165111426635,0.00022161951108425588,-0.0005554739641565787,-0.0006021846782645265,-0.0005706092767951437,0.000659923873618351,-0.000010781627798996888,0.00001104096863680014,0.000010400163680563476]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.17987891511304668,0.004668645780916517,0.0013314569970653669,0.00021569311405725264],[0.0008473775974588513,-0.004236187985873279,-0.007186279632644978,-0.06941649348184893,-0.09148772665854762,0.049705877631247265,-0.010778707828098456,0.0063135117640543284,-0.00038630668640824307],[-0.0002046974170335153,-0.00010628277474052927,-0.0014966905559042367,0.0021937465864417696,-0.005304321692723531,-0.005609353927724851,0.002732382855411007,-0.0004141402817945802,0.0003308240152450937],[0.00006427157053585827,0.000058957359006692834,0.00023917976687258698,-0.001353936483397675,0.0038296550833368127,-0.0019246775681631574,-0.00010869125555884888,0.00019663908280311294,0.00005299888557893267],[0.00003423036363782967,0.00003664454414121445,0.0005061929128865352,-0.0008787928815002029,0.0008777310888566362,-0.0010782057301383535,0.00036975214310388155,-0.00020318849553721205,8.19284379755767e-7]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9991625181143199, -0.00934642646062309, -0.022407026732603693, 0.0023992386845596344, 0.00009071374006437618 ], [ 0.00007204053953878458, -0.002757435886225728, -0.020418632820779818, -0.03720391100722707, 0.1557546069207278, -0.00497933576931673, -0.008606063160836463, 0.0005733332142878456, -0.0007603838756709664 ], [ -0.0003031569418282292, 0.0017610682270001062, 0.002629038619695568, 0.007669829286788584, -0.0311504360724963, 0.016460514961052344, -0.003222038681562838, -0.00019880646276290432, -0.00011665242043890916 ], [ 0.0001781213848281959, 0.000045479306962518165, 0.000418348035057804, 0.0018650731379597587, 0.004451826099421442, -0.004519064877417713, 0.0016338063801813532, -0.0004433484670722026, -0.00010511037171360295 ], [ 0.00011764165111426635, 0.00022161951108425588, -0.0005554739641565787, -0.0006021846782645265, -0.0005706092767951437, 0.000659923873618351, -0.000010781627798996888, 0.00001104096863680014, 0.000010400163680563476 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.17987891511304668, 0.004668645780916517, 0.0013314569970653669, 0.00021569311405725264 ], [ 0.0008473775974588513, -0.004236187985873279, -0.007186279632644978, -0.06941649348184893, -0.09148772665854762, 0.049705877631247265, -0.010778707828098456, 0.0063135117640543284, -0.00038630668640824307 ], [ -0.0002046974170335153, -0.00010628277474052927, -0.0014966905559042367, 0.0021937465864417696, -0.005304321692723531, -0.005609353927724851, 0.002732382855411007, -0.0004141402817945802, 0.0003308240152450937 ], [ 0.00006427157053585827, 0.000058957359006692834, 0.00023917976687258698, -0.001353936483397675, 0.0038296550833368127, -0.0019246775681631574, -0.00010869125555884888, 0.00019663908280311294, 0.00005299888557893267 ], [ 0.00003423036363782967, 0.00003664454414121445, 0.0005061929128865352, -0.0008787928815002029, 0.0008777310888566362, -0.0010782057301383535, 0.00036975214310388155, -0.00020318849553721205, 8.19284379755767e-7 ] ]

DUXc458MvgDP67wpebJpBcE

{"aspect_ratio": 8.73353772825618, "major_radius": 1.0, "max_elongation": 4.62170889274733, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09414407193881896, 0.012721637472734424, 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": [[0.8710685438255303, 0.8710686959824543, 0.8710715965210843, 0.8710859737842854, 0.8711280183702622, 0.8712215670093241, 0.8713978084185748, 0.8716946952481547, 0.872156154988427, 0.8728311574201415, 0.8737726786229448, 0.8750365915312618, 0.8766805067744177, 0.8787625833915399, 0.8813403261379059, 0.8844693840438984, 0.8882023633863683, 0.8925876671232207, 0.8976683720225099, 0.9034811541199061, 0.9100552727183137, 0.9174116228709103, 0.9255618661446283, 0.9345076494335393, 0.9442399216752859, 0.9547383585184109, 0.9659709052989224, 0.9778934491205742, 0.9904496314107091, 1.003570813064626, 1.017176205227471, 1.0311731799362616, 1.04545777631398, 1.059915419852386, 1.0744218746506025, 1.088844451447472, 1.1030434981181905, 1.1168742043219404, 1.1301887586674284, 1.142838905843132, 1.1546789638008046, 1.1655693791869801, 1.1753809260351944, 1.183999694084987, 1.191333080067166, 1.197317110593346, 1.2019256399573743, 1.2051824099964938, 1.2071780247600248, 1.2080971419642905, 1.2082780261963435], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5352707085427929}

8.733538

1

4.621709

[ [ 0.8710685438255303, 0.8710686959824543, 0.8710715965210843, 0.8710859737842854, 0.8711280183702622, 0.8712215670093241, 0.8713978084185748, 0.8716946952481547, 0.872156154988427, 0.8728311574201415, 0.8737726786229448, 0.8750365915312618, 0.8766805067744177, 0.8787625833915399, 0.8813403261379059, 0.8844693840438984, 0.8882023633863683, 0.8925876671232207, 0.8976683720225099, 0.9034811541199061, 0.9100552727183137, 0.9174116228709103, 0.9255618661446283, 0.9345076494335393, 0.9442399216752859, 0.9547383585184109, 0.9659709052989224, 0.9778934491205742, 0.9904496314107091, 1.003570813064626, 1.017176205227471, 1.0311731799362616, 1.04545777631398, 1.059915419852386, 1.0744218746506025, 1.088844451447472, 1.1030434981181905, 1.1168742043219404, 1.1301887586674284, 1.142838905843132, 1.1546789638008046, 1.1655693791869801, 1.1753809260351944, 1.183999694084987, 1.191333080067166, 1.197317110593346, 1.2019256399573743, 1.2051824099964938, 1.2071780247600248, 1.2080971419642905, 1.2082780261963435 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.09414407193881896, 0.012721637472734424, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.535271

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

D2cTczCf5mBd4rC96TMfmnd

null

false

null

false

D4KZizbs5BfqRDHBuBt6YhF

DQNvY3yvpasNMPEDCmydQaH

{"qi": 0.0443702746194532, "vacuum_well": -0.18375162374436824, "aspect_ratio": 9.230068708954448, "max_elongation": 5.135750094066664, "average_triangularity": 0.20288242783621466, "axis_magnetic_mirror_ratio": 0.16224245560128214, "edge_magnetic_mirror_ratio": 0.34450385601140415, "aspect_ratio_over_edge_rotational_transform": 9.734431730090074, "flux_compression_in_regions_of_bad_curvature": 1.1958614169713535, "axis_rotational_transform_over_n_field_periods": 0.233040649051641, "edge_rotational_transform_over_n_field_periods": 0.31606257611742616, "minimum_normalized_magnetic_gradient_scale_length": 6.134176185071789}

9.230069

9.734432

-0.15222

0.162242

0.233041

0.344504

0.316063

1.195861

5.13575

6.134176

0.04437

-0.183752

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.04961971832866056,-0.028191577336921746,-0.009232751883649613,-0.0017095800337198243],[-0.003977643932541567,0.012023256958284833,0.053998095990867315,-0.08676090109987221,0.11211577967636016,0.010515195918594566,-0.009395454811101826,-0.0033022974473370355,-0.00012674575439137483],[0.001976108117285191,0.0025416020513710307,0.0008344557255020456,-0.013265139405526406,-0.03610764352920818,-0.011676807731143286,-0.0055009924012502116,-0.0010172577933697416,0.00044085037497649756],[-0.0003895202093510484,0.000025874939456567664,-0.0015682424148928005,-0.0068708444356024015,0.0014447521027090013,0.0029675642221518366,0.0011881574667230849,0.0005936426831886698,0.00022233363282150723],[-0.00029021633386746475,0.00019674538922327724,0.0009088863335159274,0.0003891296171933609,-0.0008751506446571137,-0.00036993848354238695,-0.00003854324595339723,-0.00005981318245325406,-0.00009390721415740995]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.11256549702859728,-0.004171498782794566,0.008663881277155783,-0.00024222145873918115],[-0.0017005677105922706,0.010966050064461715,0.03547995053467029,-0.013756500274664726,-0.11157698390553648,-0.01940899676726314,0.006730203482799776,0.002573762244929418,0.000689892722445415],[0.002072114380838856,0.0027233425314808534,-0.00656116759488173,-0.021254851448660808,0.01703754370014918,0.011602664648442932,0.005468422467309223,0.0012738579981384389,2.054810422555918e-6],[-0.0008502278055270269,-0.0007895101066501247,-0.0018014334136866646,0.006475199061841502,-0.0026480063736812717,-0.0016610757017275165,-0.0008808500884529419,-0.0005229266466624913,-0.00019318172594853024],[-0.00018229229308916765,0.0008400411702795462,-0.0007238802687824531,-0.0017826649362895305,0.00020790944558450947,0.00022530356274348153,-0.0000350459553353894,-0.000047214254922335315,0.000039496470185035196]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.04961971832866056, -0.028191577336921746, -0.009232751883649613, -0.0017095800337198243 ], [ -0.003977643932541567, 0.012023256958284833, 0.053998095990867315, -0.08676090109987221, 0.11211577967636016, 0.010515195918594566, -0.009395454811101826, -0.0033022974473370355, -0.00012674575439137483 ], [ 0.001976108117285191, 0.0025416020513710307, 0.0008344557255020456, -0.013265139405526406, -0.03610764352920818, -0.011676807731143286, -0.0055009924012502116, -0.0010172577933697416, 0.00044085037497649756 ], [ -0.0003895202093510484, 0.000025874939456567664, -0.0015682424148928005, -0.0068708444356024015, 0.0014447521027090013, 0.0029675642221518366, 0.0011881574667230849, 0.0005936426831886698, 0.00022233363282150723 ], [ -0.00029021633386746475, 0.00019674538922327724, 0.0009088863335159274, 0.0003891296171933609, -0.0008751506446571137, -0.00036993848354238695, -0.00003854324595339723, -0.00005981318245325406, -0.00009390721415740995 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.11256549702859728, -0.004171498782794566, 0.008663881277155783, -0.00024222145873918115 ], [ -0.0017005677105922706, 0.010966050064461715, 0.03547995053467029, -0.013756500274664726, -0.11157698390553648, -0.01940899676726314, 0.006730203482799776, 0.002573762244929418, 0.000689892722445415 ], [ 0.002072114380838856, 0.0027233425314808534, -0.00656116759488173, -0.021254851448660808, 0.01703754370014918, 0.011602664648442932, 0.005468422467309223, 0.0012738579981384389, 0.000002054810422555918 ], [ -0.0008502278055270269, -0.0007895101066501247, -0.0018014334136866646, 0.006475199061841502, -0.0026480063736812717, -0.0016610757017275165, -0.0008808500884529419, -0.0005229266466624913, -0.00019318172594853024 ], [ -0.00018229229308916765, 0.0008400411702795462, -0.0007238802687824531, -0.0017826649362895305, 0.00020790944558450947, 0.00022530356274348153, -0.0000350459553353894, -0.000047214254922335315, 0.000039496470185035196 ] ]

D2Np8qKZ5oF3E7roRC4NEaw

{"aspect_ratio": 8.181287809083114, "major_radius": 1.0, "max_elongation": 4.284408189943493, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.4567000566534504, -0.08575348421828637, 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": [[0.8618801298280513, 0.8618819787993979, 0.8619096816790943, 0.8620255938203762, 0.8623219714147025, 0.8629098042228898, 0.8639086511939326, 0.8654378475665834, 0.8676091711700236, 0.8705209516142461, 0.8742535564575584, 0.8788661619880399, 0.8843947015482327, 0.8908508763218873, 0.8982221096523462, 0.9064723248755554, 0.9155434274986293, 0.9253573748186196, 0.9358187194155623, 0.9468175171375625, 0.9582324950611808, 0.9699343803407711, 0.9817892967697508, 0.9936621422009209, 1.005419866663464, 1.016934578034386, 1.0280864094440463, 1.0387660901982032, 1.048877169867399, 1.0583378533180974, 1.0670824128324168, 1.075062152082105, 1.082245905588748, 1.0886200664211088, 1.0941881442609915, 1.098969865624741, 1.102999837977634, 1.1063258097488324, 1.10900656887994, 1.1111095335666676, 1.112708100342823, 1.1138788266934028, 1.1146985380869412, 1.1152414628553093, 1.115576512972419, 1.1157648448808664, 1.1158578527275334, 1.1158957678321642, 1.1159070651667982, 1.1159089152183161, 1.115908983318732], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7337579687894066}

8.181288

1

4.284408

[ [ 0.8618801298280513, 0.8618819787993979, 0.8619096816790943, 0.8620255938203762, 0.8623219714147025, 0.8629098042228898, 0.8639086511939326, 0.8654378475665834, 0.8676091711700236, 0.8705209516142461, 0.8742535564575584, 0.8788661619880399, 0.8843947015482327, 0.8908508763218873, 0.8982221096523462, 0.9064723248755554, 0.9155434274986293, 0.9253573748186196, 0.9358187194155623, 0.9468175171375625, 0.9582324950611808, 0.9699343803407711, 0.9817892967697508, 0.9936621422009209, 1.005419866663464, 1.016934578034386, 1.0280864094440463, 1.0387660901982032, 1.048877169867399, 1.0583378533180974, 1.0670824128324168, 1.075062152082105, 1.082245905588748, 1.0886200664211088, 1.0941881442609915, 1.098969865624741, 1.102999837977634, 1.1063258097488324, 1.10900656887994, 1.1111095335666676, 1.112708100342823, 1.1138788266934028, 1.1146985380869412, 1.1152414628553093, 1.115576512972419, 1.1157648448808664, 1.1158578527275334, 1.1158957678321642, 1.1159070651667982, 1.1159089152183161, 1.115908983318732 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.4567000566534504, -0.08575348421828637, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.733758

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

DdNrvzLwNNAk9PmtwfRcUce

null

false

null

false

DMdD4NETcvcDTdjFfDcvg9n

DieteZghW7dALDxDu4uewFX

{"qi": 0.0014853373903177575, "vacuum_well": -0.01157408648243715, "aspect_ratio": 9.256029925847352, "max_elongation": 6.690278476634606, "average_triangularity": -0.469342018367468, "axis_magnetic_mirror_ratio": 0.3462443887329716, "edge_magnetic_mirror_ratio": 0.3723245253764952, "aspect_ratio_over_edge_rotational_transform": 63.38784433505233, "flux_compression_in_regions_of_bad_curvature": 0.6836691579103453, "axis_rotational_transform_over_n_field_periods": 0.19950225570408156, "edge_rotational_transform_over_n_field_periods": 0.0730110798288256, "minimum_normalized_magnetic_gradient_scale_length": 5.733177409932608}

9.25603

63.387844

-0.753334

0.346244

0.199502

0.372325

0.073011

0.683669

6.690278

5.733177

0.001485

-0.011574

{"r_cos":[[0.0,0.0,0.0,0.0,0.9963051568354471,0.06269637532293386,-0.026021022625102162,-0.007599559650175659,-0.0016875393006693974],[0.0006451305177272617,0.012346104263109467,0.016513922979888632,-0.03166869793472848,0.08140075711128673,-0.022320703163782794,-0.020640524056002526,0.0046906139100121366,0.0004771358854839929],[-0.002210750718293204,-0.009933076378058917,-0.00339671367597304,0.005669286551574251,-0.008787242721918153,-0.023798182597817363,0.005306832123589037,0.002953986668531209,-0.00038103037333128145],[-0.00029499300303155695,-0.0027653978878491156,-0.006645750162346359,0.0038423111942950086,0.003591990137685903,-0.005238997855202005,0.000703982525031554,0.0015336487186320786,-0.000529018780684587],[-0.00023337141398984638,-0.0005269288869857427,-0.0001581372946016379,0.00023101931598843058,0.001098779456923481,-0.0003203631592663455,-0.000015109290633536003,-0.0003300182515694795,0.00015178677978729642]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.17713866449403087,0.004557088057058102,0.0019719619062274806,0.0025704891842028166],[-0.00013982455222869548,0.0036671303697086263,0.005288181577455657,-0.10246292368841192,-0.1647028021635394,0.06594471912634625,0.002030127917112425,-0.0019093025951721853,0.000044991772078496666],[-0.0006250786284117855,-0.00006674083122602272,0.007030480854128223,-0.0059128262513728,-0.027748022860816773,0.011576793894066947,0.00323394859291826,-0.0012762584744399473,-0.0000155619976792305],[0.000246449865108762,0.0006681326898977209,0.0016261615754874497,0.0015269575762877194,-0.00014866352806940813,0.0006505775370621387,-0.0015557116230220248,0.0005732753644798418,-0.0001279333646599562],[-0.000023109196544825227,0.0004443586574807744,0.00047847795018086297,0.0006211031173166856,0.00015588474705630117,-0.0006882179120784557,0.00013586143700776735,0.00010726168934675751,-0.000026869266661524787]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9963051568354471, 0.06269637532293386, -0.026021022625102162, -0.007599559650175659, -0.0016875393006693974 ], [ 0.0006451305177272617, 0.012346104263109467, 0.016513922979888632, -0.03166869793472848, 0.08140075711128673, -0.022320703163782794, -0.020640524056002526, 0.0046906139100121366, 0.0004771358854839929 ], [ -0.002210750718293204, -0.009933076378058917, -0.00339671367597304, 0.005669286551574251, -0.008787242721918153, -0.023798182597817363, 0.005306832123589037, 0.002953986668531209, -0.00038103037333128145 ], [ -0.00029499300303155695, -0.0027653978878491156, -0.006645750162346359, 0.0038423111942950086, 0.003591990137685903, -0.005238997855202005, 0.000703982525031554, 0.0015336487186320786, -0.000529018780684587 ], [ -0.00023337141398984638, -0.0005269288869857427, -0.0001581372946016379, 0.00023101931598843058, 0.001098779456923481, -0.0003203631592663455, -0.000015109290633536003, -0.0003300182515694795, 0.00015178677978729642 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.17713866449403087, 0.004557088057058102, 0.0019719619062274806, 0.0025704891842028166 ], [ -0.00013982455222869548, 0.0036671303697086263, 0.005288181577455657, -0.10246292368841192, -0.1647028021635394, 0.06594471912634625, 0.002030127917112425, -0.0019093025951721853, 0.000044991772078496666 ], [ -0.0006250786284117855, -0.00006674083122602272, 0.007030480854128223, -0.0059128262513728, -0.027748022860816773, 0.011576793894066947, 0.00323394859291826, -0.0012762584744399473, -0.0000155619976792305 ], [ 0.000246449865108762, 0.0006681326898977209, 0.0016261615754874497, 0.0015269575762877194, -0.00014866352806940813, 0.0006505775370621387, -0.0015557116230220248, 0.0005732753644798418, -0.0001279333646599562 ], [ -0.000023109196544825227, 0.0004443586574807744, 0.00047847795018086297, 0.0006211031173166856, 0.00015588474705630117, -0.0006882179120784557, 0.00013586143700776735, 0.00010726168934675751, -0.000026869266661524787 ] ]

DUHGfcsmzLqiQUMgLU2LVuz

{"aspect_ratio": 10.784835938587467, "major_radius": 1.0, "max_elongation": 6.3248791850134465, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.21201422105961515, 0.4724904605466423, 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": [[0.7142557563393582, 0.7142557771943536, 0.7142565939573605, 0.7142628821265466, 0.7142878519876815, 0.7143577487915642, 0.7145156098453159, 0.7148240113766783, 0.7153666808208424, 0.7162489350845334, 0.7175969625684585, 0.719556007901452, 0.7222875490467242, 0.7259655797475696, 0.7307721280243192, 0.7368921547910027, 0.7445079864165141, 0.753793441757378, 0.7649078182257101, 0.7779899031062542, 0.793152175802106, 0.8104753641132815, 0.8300035131333348, 0.8517397189471032, 0.8756426710552638, 0.9016241373371215, 0.9295475133617375, 0.9592275439096759, 0.9904313085823389, 1.0228805452264644, 1.056255364419489, 1.090199385227834, 1.12432629658205, 1.1582278195458202, 1.191483013019016, 1.2236688283936545, 1.2543717765644247, 1.2832005223947491, 1.3097991657698604, 1.3338609026566055, 1.3551416811654067, 1.373473372087168, 1.388775854045747, 1.4010672595508007, 1.4104714218554402, 1.4172212714173087, 1.4216564925874398, 1.4242130320479376, 1.4254007187785303, 1.4257622879873044, 1.4257976633253677], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.358920089900635}

10.784836

1

6.324879

[ [ 0.7142557563393582, 0.7142557771943536, 0.7142565939573605, 0.7142628821265466, 0.7142878519876815, 0.7143577487915642, 0.7145156098453159, 0.7148240113766783, 0.7153666808208424, 0.7162489350845334, 0.7175969625684585, 0.719556007901452, 0.7222875490467242, 0.7259655797475696, 0.7307721280243192, 0.7368921547910027, 0.7445079864165141, 0.753793441757378, 0.7649078182257101, 0.7779899031062542, 0.793152175802106, 0.8104753641132815, 0.8300035131333348, 0.8517397189471032, 0.8756426710552638, 0.9016241373371215, 0.9295475133617375, 0.9592275439096759, 0.9904313085823389, 1.0228805452264644, 1.056255364419489, 1.090199385227834, 1.12432629658205, 1.1582278195458202, 1.191483013019016, 1.2236688283936545, 1.2543717765644247, 1.2832005223947491, 1.3097991657698604, 1.3338609026566055, 1.3551416811654067, 1.373473372087168, 1.388775854045747, 1.4010672595508007, 1.4104714218554402, 1.4172212714173087, 1.4216564925874398, 1.4242130320479376, 1.4254007187785303, 1.4257622879873044, 1.4257976633253677 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.21201422105961515, 0.4724904605466423, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.35892

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

DLziKb2AxpVxVMJ7vQjWwyf

null

false

null

false

DJXmY6iKEmrzesu38G9RFr5

DmEkfp7E6YwVF9MRRnGMEMB

{"qi": 0.007116848756669569, "vacuum_well": -0.03098450689534, "aspect_ratio": 9.161572633785124, "max_elongation": 3.840191781206575, "average_triangularity": 0.059998608097929056, "axis_magnetic_mirror_ratio": 0.3095081660177559, "edge_magnetic_mirror_ratio": 0.38462399053336704, "aspect_ratio_over_edge_rotational_transform": 24.804019272189226, "flux_compression_in_regions_of_bad_curvature": 0.9816399257562818, "axis_rotational_transform_over_n_field_periods": 0.282188580333124, "edge_rotational_transform_over_n_field_periods": 0.36935839039833623, "minimum_normalized_magnetic_gradient_scale_length": 2.9239356674353316}

9.161573

24.804019

0.000436

0.309508

0.282189

0.384624

0.369358

0.98164

3.840192

2.923936

0.007117

-0.030985

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.003334630153941315,-0.20971926537471441,0.0023104794747612466,0.004400186713488193],[0.006307079116191653,-0.002814504646657229,0.054327010663609766,-0.02450536342363524,0.11202752772871756,-0.012308658172961234,0.005890596564470205,0.0010269646402092567,-0.0006505358920524291],[-0.0025012341340492237,0.0015827519907693562,-0.00025657016151222375,0.00007483544638232258,-0.011450983222441749,0.001466149904632823,0.00029898743702036685,0.0004115855062049751,0.0009309250459231576],[-0.0005415711093866865,0.000053292150918547615,-0.003220799771372976,0.00023699436256424786,-0.0045447033237390935,0.00040135318019846673,0.000736504246167173,0.000056981741457980234,-0.00008901721855140881],[0.00031519147817363175,-0.0000902830901934398,-0.00013113947870144242,-0.00003668888618165453,-0.00028743883257428826,-0.00008875090541346628,0.00020077284573253576,-0.00019402334198730957,0.00001995229453918856]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.00036134159717985526,0.015259497056657453,0.014864247829151262,-0.002081147692986028],[0.0028488250098280474,0.0014658263937429488,0.06482469405047823,0.0034167042024073114,-0.1317364087223921,0.003164915333181245,0.0036960981187321752,-0.0028103597433851366,0.0013949426893078503],[-0.005178153052890438,-0.0008317653241393323,0.003151094374932188,-0.001161937336351608,0.009806252440921743,-0.0002533343036493292,0.00009141307824479306,-0.0007235573213362682,-0.0010959159562399243],[0.0007765318587990894,-0.0017051352981715803,0.003864116774839331,0.0020331961920375353,0.0034501704819006078,-0.0005571438795004056,-0.0031446149926976272,0.00032560164457227003,0.0002588754148848381],[0.0002962981687391926,-0.00024791210929403615,0.00007090757777375815,0.000039769689770167814,0.00035434746827450736,-0.00032097862085241644,-0.00022618274728819867,0.0001470847690207361,-0.000026414430316317486]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.003334630153941315, -0.20971926537471441, 0.0023104794747612466, 0.004400186713488193 ], [ 0.006307079116191653, -0.002814504646657229, 0.054327010663609766, -0.02450536342363524, 0.11202752772871756, -0.012308658172961234, 0.005890596564470205, 0.0010269646402092567, -0.0006505358920524291 ], [ -0.0025012341340492237, 0.0015827519907693562, -0.00025657016151222375, 0.00007483544638232258, -0.011450983222441749, 0.001466149904632823, 0.00029898743702036685, 0.0004115855062049751, 0.0009309250459231576 ], [ -0.0005415711093866865, 0.000053292150918547615, -0.003220799771372976, 0.00023699436256424786, -0.0045447033237390935, 0.00040135318019846673, 0.000736504246167173, 0.000056981741457980234, -0.00008901721855140881 ], [ 0.00031519147817363175, -0.0000902830901934398, -0.00013113947870144242, -0.00003668888618165453, -0.00028743883257428826, -0.00008875090541346628, 0.00020077284573253576, -0.00019402334198730957, 0.00001995229453918856 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.00036134159717985526, 0.015259497056657453, 0.014864247829151262, -0.002081147692986028 ], [ 0.0028488250098280474, 0.0014658263937429488, 0.06482469405047823, 0.0034167042024073114, -0.1317364087223921, 0.003164915333181245, 0.0036960981187321752, -0.0028103597433851366, 0.0013949426893078503 ], [ -0.005178153052890438, -0.0008317653241393323, 0.003151094374932188, -0.001161937336351608, 0.009806252440921743, -0.0002533343036493292, 0.00009141307824479306, -0.0007235573213362682, -0.0010959159562399243 ], [ 0.0007765318587990894, -0.0017051352981715803, 0.003864116774839331, 0.0020331961920375353, 0.0034501704819006078, -0.0005571438795004056, -0.0031446149926976272, 0.00032560164457227003, 0.0002588754148848381 ], [ 0.0002962981687391926, -0.00024791210929403615, 0.00007090757777375815, 0.000039769689770167814, 0.00035434746827450736, -0.00032097862085241644, -0.00022618274728819867, 0.0001470847690207361, -0.000026414430316317486 ] ]

DEoULLj6VfQcxmqdmsKu8k4

{"aspect_ratio": 8.943426753582031, "major_radius": 1.0, "max_elongation": 5.936830658289689, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.13718184852079593, -0.054259417711876194, 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": [[0.6889065903781281, 0.6889081640314118, 0.6889390689762677, 0.689091572425699, 0.6895280974919468, 0.690469518725029, 0.6921774061746679, 0.6949343409488884, 0.6990245111782902, 0.704715899045275, 0.7122448458717161, 0.7218034411591792, 0.7335299445203964, 0.7475022784989691, 0.7637345044832483, 0.7821761008267283, 0.802713793937515, 0.8251756441291687, 0.8493370546490197, 0.874928351742099, 0.9016435737647563, 0.9291501065890043, 0.9570988095198496, 0.9851342896022203, 1.012905001614015, 1.0400728754492203, 1.0663222013096139, 1.0913675355386183, 1.1149604254953376, 1.1368947900704545, 1.1570108328073971, 1.1751974066496411, 1.1913927926352574, 1.205583898950617, 1.217803931175664, 1.228128628824178, 1.236671206894903, 1.2435761835505184, 1.2490123156166884, 1.2531649016430197, 1.2562277469733971, 1.2583951156505657, 1.2598540188076357, 1.260777206907634, 1.2613172416814762, 1.2616020199397129, 1.2617321012200584, 1.2617801474974992, 1.2617927036538377, 1.2617944073301588, 1.261794453443406], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.2666125649360689}

8.943427

1

5.936831

[ [ 0.6889065903781281, 0.6889081640314118, 0.6889390689762677, 0.689091572425699, 0.6895280974919468, 0.690469518725029, 0.6921774061746679, 0.6949343409488884, 0.6990245111782902, 0.704715899045275, 0.7122448458717161, 0.7218034411591792, 0.7335299445203964, 0.7475022784989691, 0.7637345044832483, 0.7821761008267283, 0.802713793937515, 0.8251756441291687, 0.8493370546490197, 0.874928351742099, 0.9016435737647563, 0.9291501065890043, 0.9570988095198496, 0.9851342896022203, 1.012905001614015, 1.0400728754492203, 1.0663222013096139, 1.0913675355386183, 1.1149604254953376, 1.1368947900704545, 1.1570108328073971, 1.1751974066496411, 1.1913927926352574, 1.205583898950617, 1.217803931175664, 1.228128628824178, 1.236671206894903, 1.2435761835505184, 1.2490123156166884, 1.2531649016430197, 1.2562277469733971, 1.2583951156505657, 1.2598540188076357, 1.260777206907634, 1.2613172416814762, 1.2616020199397129, 1.2617321012200584, 1.2617801474974992, 1.2617927036538377, 1.2617944073301588, 1.261794453443406 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.13718184852079593, -0.054259417711876194, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.266613

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

DYqRX4fGEZEmYtQSMCSmioc

null

false

null

false

DnnC2FsLnxdvwfSNrzghEeM

DZr6TaJugaprKsGqqkkZtN8

{"qi": 0.009531050621672024, "vacuum_well": -0.09885659751567143, "aspect_ratio": 9.785394236470378, "max_elongation": 5.043623878677447, "average_triangularity": 0.1279165689244015, "axis_magnetic_mirror_ratio": 0.15653823107843728, "edge_magnetic_mirror_ratio": 0.23640004079365376, "aspect_ratio_over_edge_rotational_transform": 8.630605161304075, "flux_compression_in_regions_of_bad_curvature": 1.1865129646163597, "axis_rotational_transform_over_n_field_periods": 0.2313361746813451, "edge_rotational_transform_over_n_field_periods": 0.22676032685040165, "minimum_normalized_magnetic_gradient_scale_length": 11.636693663946943}

9.785394

8.630605

0.205903

0.156538

0.231336

0.2364

0.22676

1.186513

5.043624

11.636694

0.009531

-0.098857

{"r_cos":[[0.0,0.0,0.0,0.0,0.9922978765163591,-0.01586261255239261,-0.012804125287336833,0.00025990262697257223,0.0002314809296926363],[-0.00010302935746941294,0.00025874353826272885,0.009123487159211623,-0.02858967451612851,-0.11401577469478151,-0.0038443227457624404,0.0016594616161360377,0.00016036760276637836,0.000042650695377840135],[0.00014088411373430033,-0.004397596148752037,0.023382692243102333,-0.030112569371204212,-0.02425566973419062,-0.011164392215253713,-0.0009209132629277045,-0.00042808627886661106,-0.000047736057164492925],[0.000364524559695611,-0.0023762232681246295,0.006835286339368579,-0.00923237493247887,-0.005263588428282305,-0.000367311947686284,3.9259371989270805e-6,0.0000310548312107545,-4.3155751859319665e-6],[2.1855264210631883e-6,-0.00025788406052510115,0.00013428237283257625,-0.0005213734174782707,-0.000772492409253914,0.00029955207094412115,0.00027705474700555485,0.00008807090901543432,0.000014304541320053758]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.009686481264069012,0.005435105408323075,0.0007676016831537884,-0.00012455994222447837],[-0.000052041906020458174,0.0005530183758258074,0.008782278367121983,-0.08423760011562464,0.1296592244906275,0.015749060354863537,0.003117079391763664,0.0005729868225587085,0.00007542949245658625],[-0.00026604712677958607,-0.00029657389671452225,0.011235528339481667,-0.025986029462064818,-0.0025755630700755594,0.002326126679868255,-0.0007809978753242682,-0.00016660285939029684,-0.000022475959752203063],[0.0005534604511000085,-0.001919326946316348,0.0006910502562023341,0.004167335671456892,-0.002339318483227613,-0.0023371326259626077,-0.00021968788711990863,0.0001660591616134085,0.00005447361471891746],[0.00007715182409965063,-0.0004926367891601647,0.0006916746436521299,0.00033942263625675223,-0.00019078857592452249,-0.0004459277392405658,-0.0002609375746794269,-0.00007237811032421656,-0.000039818081408788196]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9922978765163591, -0.01586261255239261, -0.012804125287336833, 0.00025990262697257223, 0.0002314809296926363 ], [ -0.00010302935746941294, 0.00025874353826272885, 0.009123487159211623, -0.02858967451612851, -0.11401577469478151, -0.0038443227457624404, 0.0016594616161360377, 0.00016036760276637836, 0.000042650695377840135 ], [ 0.00014088411373430033, -0.004397596148752037, 0.023382692243102333, -0.030112569371204212, -0.02425566973419062, -0.011164392215253713, -0.0009209132629277045, -0.00042808627886661106, -0.000047736057164492925 ], [ 0.000364524559695611, -0.0023762232681246295, 0.006835286339368579, -0.00923237493247887, -0.005263588428282305, -0.000367311947686284, 0.0000039259371989270805, 0.0000310548312107545, -0.0000043155751859319665 ], [ 0.0000021855264210631883, -0.00025788406052510115, 0.00013428237283257625, -0.0005213734174782707, -0.000772492409253914, 0.00029955207094412115, 0.00027705474700555485, 0.00008807090901543432, 0.000014304541320053758 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.009686481264069012, 0.005435105408323075, 0.0007676016831537884, -0.00012455994222447837 ], [ -0.000052041906020458174, 0.0005530183758258074, 0.008782278367121983, -0.08423760011562464, 0.1296592244906275, 0.015749060354863537, 0.003117079391763664, 0.0005729868225587085, 0.00007542949245658625 ], [ -0.00026604712677958607, -0.00029657389671452225, 0.011235528339481667, -0.025986029462064818, -0.0025755630700755594, 0.002326126679868255, -0.0007809978753242682, -0.00016660285939029684, -0.000022475959752203063 ], [ 0.0005534604511000085, -0.001919326946316348, 0.0006910502562023341, 0.004167335671456892, -0.002339318483227613, -0.0023371326259626077, -0.00021968788711990863, 0.0001660591616134085, 0.00005447361471891746 ], [ 0.00007715182409965063, -0.0004926367891601647, 0.0006916746436521299, 0.00033942263625675223, -0.00019078857592452249, -0.0004459277392405658, -0.0002609375746794269, -0.00007237811032421656, -0.000039818081408788196 ] ]

DHWn3SiHXmdFL7JPMdiponb

{"aspect_ratio": 9.466453316867147, "major_radius": 1.0, "max_elongation": 4.899951899554729, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2319156618003863, 0.11269826323983509, 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": [[0.8161045460233214, 0.8161047676612168, 0.8161101149274121, 0.8161403673802795, 0.816236370727737, 0.8164616320896007, 0.8169010916485029, 0.8176580193934437, 0.8188496771275637, 0.8206022248505984, 0.8230452470055373, 0.8263061992621827, 0.830505018405908, 0.8357490905095727, 0.8421287325729014, 0.849713308230849, 0.858548067697984, 0.8686517749884265, 0.8800151610486463, 0.8926002193495175, 0.9063403404033232, 0.9211412633786488, 0.9368828063159167, 0.9534213212758612, 0.970592806992465, 0.9882165991871049, 1.0060995475900527, 1.0240405788864309, 1.0418355362510179, 1.059282178871666, 1.0761852189132832, 1.0923612687904707, 1.107643568464448, 1.121886360850256, 1.1349687834335584, 1.1467981460088574, 1.1573124682651315, 1.1664821570243888, 1.1743107116300229, 1.1808343577474003, 1.186120525306919, 1.1902651063638423, 1.1933884545209483, 1.195630121115178, 1.1971423674802075, 1.1980825519498595, 1.198604573039131, 1.1988496719960686, 1.1989370920587865, 1.198955443957085, 1.1989564410304692], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0920080306752875}

9.466453

1

4.899952

[ [ 0.8161045460233214, 0.8161047676612168, 0.8161101149274121, 0.8161403673802795, 0.816236370727737, 0.8164616320896007, 0.8169010916485029, 0.8176580193934437, 0.8188496771275637, 0.8206022248505984, 0.8230452470055373, 0.8263061992621827, 0.830505018405908, 0.8357490905095727, 0.8421287325729014, 0.849713308230849, 0.858548067697984, 0.8686517749884265, 0.8800151610486463, 0.8926002193495175, 0.9063403404033232, 0.9211412633786488, 0.9368828063159167, 0.9534213212758612, 0.970592806992465, 0.9882165991871049, 1.0060995475900527, 1.0240405788864309, 1.0418355362510179, 1.059282178871666, 1.0761852189132832, 1.0923612687904707, 1.107643568464448, 1.121886360850256, 1.1349687834335584, 1.1467981460088574, 1.1573124682651315, 1.1664821570243888, 1.1743107116300229, 1.1808343577474003, 1.186120525306919, 1.1902651063638423, 1.1933884545209483, 1.195630121115178, 1.1971423674802075, 1.1980825519498595, 1.198604573039131, 1.1988496719960686, 1.1989370920587865, 1.198955443957085, 1.1989564410304692 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2319156618003863, 0.11269826323983509, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.092008

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

DHTpZS2dgyUHdbwB7PckJ68

null

false

null

false

DaLeaC9D9M5fqQuXZg9Ve35

Dgm6zeaV66N6oYZb6PLb82d

{"qi": 0.0009493265052303786, "vacuum_well": -0.018862932622171806, "aspect_ratio": 7.785382567653018, "max_elongation": 6.029272281258543, "average_triangularity": 0.1128851076405216, "axis_magnetic_mirror_ratio": 0.33685290734507134, "edge_magnetic_mirror_ratio": 0.37937611794132614, "aspect_ratio_over_edge_rotational_transform": 10.144119868608177, "flux_compression_in_regions_of_bad_curvature": 1.355832098166337, "axis_rotational_transform_over_n_field_periods": 0.2582318571063114, "edge_rotational_transform_over_n_field_periods": 0.19186934570207348, "minimum_normalized_magnetic_gradient_scale_length": 4.022508565372424}

7.785383

10.14412

0.187503

0.336853

0.258232

0.379376

0.191869

1.355832

6.029272

4.022509

0.000949

-0.018863

{"r_cos":[[0.0,0.0,0.0,0.0,0.9907495996471434,-0.014973124323614915,-0.009968458664906928,-0.00040653761834415805,-0.0002766821613933483],[0.001074462372709087,0.0005525734939140338,-0.02191000150403043,-0.07261936330205047,0.18089407355739612,-0.009415929427291178,-0.005736229820167461,0.00034934491857148,-0.0005084610648452433],[0.00026106651161541454,0.004868169676214282,0.005348938333884291,0.02384411689172195,-0.03244999077184927,0.013324979392747235,-0.004869548723599749,0.0012603845125112294,0.0003274184887670726],[-0.0004919898468337038,-0.003148574239296269,-0.002088681786171556,-0.00635670094518981,0.004547052258164112,-0.0004314149728288554,-0.00015436505633742805,-0.000032099652056092774,0.00009970367186148374],[0.00022512707808021817,0.0012080797875986965,0.0020118027196795517,0.0008850624455910882,-0.0015119145249770443,0.0005153020392082786,0.00004928010896373394,-0.00016604038649473889,0.00003288347014405978]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.31163419543312426,0.01627086494207077,-0.00002510416408013985,0.0007806431071606963],[-3.2071061732683972e-6,0.0011202489091538207,-0.022903312037707606,-0.055918987508704596,-0.11388969352730204,0.026756334559789572,-0.008223462145280032,0.005460328765351246,-0.00005913587883079601],[0.0006623380550884312,0.00465759410948155,0.01378511759170093,-0.0012768225954678705,-0.005769757388593852,0.003271075298304397,0.0012278319564715855,-0.0006421105330609521,-0.00005542836547315868],[-0.000628968876421524,-0.0028592469661420407,-0.0040357058164879125,0.00022337752508511664,-0.0006839776592584333,0.0003553318638945981,0.00012207884931106795,-0.00018903967604064057,0.000053270160040843706],[0.0003686138152581088,0.0005568457332866721,-0.00017695227065726895,-0.0007947101908650316,-0.0001930195621515944,0.00023363862880194518,0.00006132113601080335,-0.000019183277603557365,-9.643529096201465e-8]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9907495996471434, -0.014973124323614915, -0.009968458664906928, -0.00040653761834415805, -0.0002766821613933483 ], [ 0.001074462372709087, 0.0005525734939140338, -0.02191000150403043, -0.07261936330205047, 0.18089407355739612, -0.009415929427291178, -0.005736229820167461, 0.00034934491857148, -0.0005084610648452433 ], [ 0.00026106651161541454, 0.004868169676214282, 0.005348938333884291, 0.02384411689172195, -0.03244999077184927, 0.013324979392747235, -0.004869548723599749, 0.0012603845125112294, 0.0003274184887670726 ], [ -0.0004919898468337038, -0.003148574239296269, -0.002088681786171556, -0.00635670094518981, 0.004547052258164112, -0.0004314149728288554, -0.00015436505633742805, -0.000032099652056092774, 0.00009970367186148374 ], [ 0.00022512707808021817, 0.0012080797875986965, 0.0020118027196795517, 0.0008850624455910882, -0.0015119145249770443, 0.0005153020392082786, 0.00004928010896373394, -0.00016604038649473889, 0.00003288347014405978 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.31163419543312426, 0.01627086494207077, -0.00002510416408013985, 0.0007806431071606963 ], [ -0.0000032071061732683972, 0.0011202489091538207, -0.022903312037707606, -0.055918987508704596, -0.11388969352730204, 0.026756334559789572, -0.008223462145280032, 0.005460328765351246, -0.00005913587883079601 ], [ 0.0006623380550884312, 0.00465759410948155, 0.01378511759170093, -0.0012768225954678705, -0.005769757388593852, 0.003271075298304397, 0.0012278319564715855, -0.0006421105330609521, -0.00005542836547315868 ], [ -0.000628968876421524, -0.0028592469661420407, -0.0040357058164879125, 0.00022337752508511664, -0.0006839776592584333, 0.0003553318638945981, 0.00012207884931106795, -0.00018903967604064057, 0.000053270160040843706 ], [ 0.0003686138152581088, 0.0005568457332866721, -0.00017695227065726895, -0.0007947101908650316, -0.0001930195621515944, 0.00023363862880194518, 0.00006132113601080335, -0.000019183277603557365, -9.643529096201465e-8 ] ]

Dacwm4pdHb98bAvTTxn7hUT

{"aspect_ratio": 7.678823725149847, "major_radius": 1.0, "max_elongation": 6.563883721268721, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.02004464595248357, 0.5122192995592417, 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": [[0.6051472622723333, 0.6051635491191416, 0.6053638556541422, 0.6061007795237301, 0.6078151987843596, 0.610967767432971, 0.6159921001795391, 0.6232627938762072, 0.6330746590414704, 0.6456307196982533, 0.661037145176698, 0.6793036478195273, 0.7003481352722224, 0.724004596265475, 0.7500333494309983, 0.7781329091695134, 0.8079528287181382, 0.8391069731569951, 0.871186757265709, 0.9037739569852964, 0.936452770216752, 0.9688208638348441, 1.0004991998735393, 1.0311404854116146, 1.0604361381768166, 1.088121703614658, 1.113980699375971, 1.1378469000476503, 1.1596051086171686, 1.1791904917173295, 1.1965865832031501, 1.2118220850974077, 1.2249666164070236, 1.2361255787336356, 1.2454343229254947, 1.2530518131617416, 1.2591539937089826, 1.2639270689905073, 1.2675609093611078, 1.2702427928284081, 1.2721516865736615, 1.2734532610706664, 1.2742958133131475, 1.27480725337434, 1.2750932791793779, 1.2752368264519847, 1.2752988320143683, 1.2753202853064405, 1.2753254587429526, 1.275326089661739, 1.2753261041648036], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.109390983971628}

7.678824

1

6.563884

[ [ 0.6051472622723333, 0.6051635491191416, 0.6053638556541422, 0.6061007795237301, 0.6078151987843596, 0.610967767432971, 0.6159921001795391, 0.6232627938762072, 0.6330746590414704, 0.6456307196982533, 0.661037145176698, 0.6793036478195273, 0.7003481352722224, 0.724004596265475, 0.7500333494309983, 0.7781329091695134, 0.8079528287181382, 0.8391069731569951, 0.871186757265709, 0.9037739569852964, 0.936452770216752, 0.9688208638348441, 1.0004991998735393, 1.0311404854116146, 1.0604361381768166, 1.088121703614658, 1.113980699375971, 1.1378469000476503, 1.1596051086171686, 1.1791904917173295, 1.1965865832031501, 1.2118220850974077, 1.2249666164070236, 1.2361255787336356, 1.2454343229254947, 1.2530518131617416, 1.2591539937089826, 1.2639270689905073, 1.2675609093611078, 1.2702427928284081, 1.2721516865736615, 1.2734532610706664, 1.2742958133131475, 1.27480725337434, 1.2750932791793779, 1.2752368264519847, 1.2752988320143683, 1.2753202853064405, 1.2753254587429526, 1.275326089661739, 1.2753261041648036 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.02004464595248357, 0.5122192995592417, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.109391

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

DTNeCBhvpXwccFet3EwrVxt

null

false

null

false

Da2TwqZUePaq4PakA3in6eo

DM6kpSro9x2sLk7xGBkwZJu

{"qi": 0.01156788242144066, "vacuum_well": -0.19862736192941263, "aspect_ratio": 9.44948227989801, "max_elongation": 7.239451488780891, "average_triangularity": -0.020955829175377833, "axis_magnetic_mirror_ratio": 0.2915074430775355, "edge_magnetic_mirror_ratio": 0.4426400962573832, "aspect_ratio_over_edge_rotational_transform": 7.939890209803361, "flux_compression_in_regions_of_bad_curvature": 1.1814741718901574, "axis_rotational_transform_over_n_field_periods": 0.24320780501753955, "edge_rotational_transform_over_n_field_periods": 0.39670919161370605, "minimum_normalized_magnetic_gradient_scale_length": 4.9046815516244635}

9.449482

7.93989

-0.142871

0.291507

0.243208

0.44264

0.396709

1.181474

7.239451

4.904682

0.011568

-0.198627

{"r_cos":[[0.0,0.0,0.0,0.0,0.9977750949979477,-0.04571794181170026,-0.03217163715957385,0.0022212288669451376,0.00029539117464342027],[-0.005647669206284549,0.013360966402114304,0.06366882016091635,-0.011517907423289245,0.08724281387877528,-0.05165403597131679,-0.014847031194505374,0.0041700817046309655,0.0007320964737847387],[0.0011001744043216042,-0.0014988107231948078,-0.0038337712337253756,-0.01860441680511224,-0.009873588727830597,-0.0027153679358767665,0.0005323218160076986,0.0008830614067693451,-0.0000450286159310063],[-0.0005259944167851829,-0.0035711912506023544,-0.0012753647541796174,-0.002736967431711928,-0.0018031584655952085,0.001928179216741306,-0.00026222587963019067,-0.0005718736745687972,0.00026784245162501],[-0.0001366978592303978,0.00022771991862937388,-0.004282621444447847,-0.003491720915854075,0.0010774305112256962,0.0003987755223663224,-0.0001208761225726788,0.0001559741282420985,-0.00007022308832169594]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08751215141634615,0.012609236908470805,-0.004589749119068763,0.00012831723624158117],[-0.004396206730388522,0.016333570998264105,0.05109580483110632,-0.06359693749357319,-0.15055308699025888,0.04476789891370213,0.012731993139624507,-0.0018261373176040908,-0.001086264920280178],[0.0007394616243643018,-0.007401347573224297,-0.000688825366243639,-0.009098709351043425,0.0023032790790193523,0.006316171484294459,0.0008494492239441845,-0.0007621325844245209,-0.00002960294931583622],[-0.0002917644501627851,-0.0022610951398185,-0.0012809046636397022,0.00474015152613556,-0.0033536849968430933,-0.0009541569318148109,0.0002683260050959015,0.000858492956910633,-0.00030585824023928365],[-0.0002871414842572685,-0.0010522382333654151,-0.0008298722518668848,0.001693439830427689,0.0004303627912216673,-0.00020074307529327202,0.00016155590595213446,-0.00015823813497216186,0.00005544895567727347]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9977750949979477, -0.04571794181170026, -0.03217163715957385, 0.0022212288669451376, 0.00029539117464342027 ], [ -0.005647669206284549, 0.013360966402114304, 0.06366882016091635, -0.011517907423289245, 0.08724281387877528, -0.05165403597131679, -0.014847031194505374, 0.0041700817046309655, 0.0007320964737847387 ], [ 0.0011001744043216042, -0.0014988107231948078, -0.0038337712337253756, -0.01860441680511224, -0.009873588727830597, -0.0027153679358767665, 0.0005323218160076986, 0.0008830614067693451, -0.0000450286159310063 ], [ -0.0005259944167851829, -0.0035711912506023544, -0.0012753647541796174, -0.002736967431711928, -0.0018031584655952085, 0.001928179216741306, -0.00026222587963019067, -0.0005718736745687972, 0.00026784245162501 ], [ -0.0001366978592303978, 0.00022771991862937388, -0.004282621444447847, -0.003491720915854075, 0.0010774305112256962, 0.0003987755223663224, -0.0001208761225726788, 0.0001559741282420985, -0.00007022308832169594 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08751215141634615, 0.012609236908470805, -0.004589749119068763, 0.00012831723624158117 ], [ -0.004396206730388522, 0.016333570998264105, 0.05109580483110632, -0.06359693749357319, -0.15055308699025888, 0.04476789891370213, 0.012731993139624507, -0.0018261373176040908, -0.001086264920280178 ], [ 0.0007394616243643018, -0.007401347573224297, -0.000688825366243639, -0.009098709351043425, 0.0023032790790193523, 0.006316171484294459, 0.0008494492239441845, -0.0007621325844245209, -0.00002960294931583622 ], [ -0.0002917644501627851, -0.0022610951398185, -0.0012809046636397022, 0.00474015152613556, -0.0033536849968430933, -0.0009541569318148109, 0.0002683260050959015, 0.000858492956910633, -0.00030585824023928365 ], [ -0.0002871414842572685, -0.0010522382333654151, -0.0008298722518668848, 0.001693439830427689, 0.0004303627912216673, -0.00020074307529327202, 0.00016155590595213446, -0.00015823813497216186, 0.00005544895567727347 ] ]

DAHsYLebNupa8xXFPtGbAq5

{"aspect_ratio": 9.272917572996679, "major_radius": 1.0, "max_elongation": 6.195941522189782, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.3725346821332091, -0.1941499707392557, 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": [[0.6796447791665109, 0.6796454238763223, 0.6796598540754766, 0.679737559659613, 0.6799751988491625, 0.6805163116806638, 0.6815452158918793, 0.6832775465694264, 0.6859489754273901, 0.6898031815950404, 0.6950798577709119, 0.7020033348509226, 0.7107722577285416, 0.7215506267468452, 0.7344604232827613, 0.7495759582166608, 0.7669200148121449, 0.786461800286169, 0.8081166713449923, 0.8317475569494341, 0.8571679656383531, 0.8841464341973382, 0.9124122487905195, 0.9416622484791015, 0.9715685040251124, 1.0017866517896512, 1.031964653206652, 1.0617517446195723, 1.090807340125358, 1.118809651431401, 1.145463793586975, 1.1705091538261971, 1.193725812717602, 1.2149398224587369, 1.2340271666317815, 1.2509162492513108, 1.265588788758247, 1.2780790250998122, 1.288471185650139, 1.2968951990861912, 1.303520696263257, 1.308549394757487, 1.3122060306293677, 1.3147280793722547, 1.316354601327577, 1.3173146603881454, 1.3178159074538267, 1.3180341079363274, 1.318104658183604, 1.3181175566245793, 1.318118118912649], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7004577288244747}

9.272918

1

6.195942

[ [ 0.6796447791665109, 0.6796454238763223, 0.6796598540754766, 0.679737559659613, 0.6799751988491625, 0.6805163116806638, 0.6815452158918793, 0.6832775465694264, 0.6859489754273901, 0.6898031815950404, 0.6950798577709119, 0.7020033348509226, 0.7107722577285416, 0.7215506267468452, 0.7344604232827613, 0.7495759582166608, 0.7669200148121449, 0.786461800286169, 0.8081166713449923, 0.8317475569494341, 0.8571679656383531, 0.8841464341973382, 0.9124122487905195, 0.9416622484791015, 0.9715685040251124, 1.0017866517896512, 1.031964653206652, 1.0617517446195723, 1.090807340125358, 1.118809651431401, 1.145463793586975, 1.1705091538261971, 1.193725812717602, 1.2149398224587369, 1.2340271666317815, 1.2509162492513108, 1.265588788758247, 1.2780790250998122, 1.288471185650139, 1.2968951990861912, 1.303520696263257, 1.308549394757487, 1.3122060306293677, 1.3147280793722547, 1.316354601327577, 1.3173146603881454, 1.3178159074538267, 1.3180341079363274, 1.318104658183604, 1.3181175566245793, 1.318118118912649 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.3725346821332091, -0.1941499707392557, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.700458

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

DJtfSdkx82mX3PkgyEp73UT

null

false

null

false

DHvZmo5ybx4vdoXao2FSrtc

DSuevxsAdRNJNSwuLtiGNQ4

{"qi": 0.00244604300658534, "vacuum_well": -0.1561195273200378, "aspect_ratio": 9.99092703256076, "max_elongation": 5.878272674176153, "average_triangularity": -0.559812406164581, "axis_magnetic_mirror_ratio": 0.2661968347642604, "edge_magnetic_mirror_ratio": 0.2819935743424396, "aspect_ratio_over_edge_rotational_transform": 22.034545677871844, "flux_compression_in_regions_of_bad_curvature": 1.3546720660393359, "axis_rotational_transform_over_n_field_periods": 0.12583895121127575, "edge_rotational_transform_over_n_field_periods": 0.113355264712743, "minimum_normalized_magnetic_gradient_scale_length": 6.206094782792394}

9.990927

22.034546

-0.8798

0.266197

0.125839

0.281994

0.113355

1.354672

5.878273

6.206095

0.002446

-0.15612

{"r_cos":[[0.0,0.0,0.0,0.0,0.999497948551328,0.014459885508163678,-0.008902647436940414,-0.001055675283903882,-0.00020193192417562644],[-0.0005480002517599824,-0.0031856849155308432,-0.017966670236205528,-0.046331044734699636,0.10632188384046232,0.011770378643517213,-0.009237622377518542,0.0007318982324697187,-0.0007171221316986529],[-0.00011755655997189077,-0.0027978797827116174,-0.00410983359886735,-0.010202887042289832,-0.007818705220389514,0.01815893098877191,-0.006008988645684698,0.0015533855112082337,-0.0004955449020088298],[0.00040325635584624164,0.0009195196368515235,-0.0012145305549819926,-0.002850732839142946,-0.00024680310888866824,-0.0007269253484991813,0.0007873477781136127,0.00016401901714022284,-0.00014749559263806797],[0.00007003151322846902,0.000013250708351928488,-0.0002541281084275029,0.00023436408659959678,-0.00006880364408601854,-0.00039107951503674016,-0.00004869094171836568,0.0002696830770594613,-0.0000757773772186308]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08311692914727581,-0.0011348886211956155,0.0005037380945475574,0.000571417779141858],[-0.000710393233452824,-0.0012657478911448179,-0.008233229835249168,-0.08132192799691153,-0.1488135215548577,0.05550577010395684,-0.007194165690997477,0.0008645248021297258,0.0002635397350064794],[-0.0005402517372676851,-0.0013933334046372678,0.0006700575437470846,0.010641104027809078,-0.04461851672297042,0.013063527277120875,-0.00015519773790041025,-0.0013291017093345807,0.00048038402894033465],[-0.00016805422564299856,0.0015325599735087903,0.0024402979422521974,0.001937798745981601,-0.005357511526262318,0.002477612438135373,-0.00030836688213168955,-0.00046944660313104553,0.00017500439048580792],[-0.00010093549704252099,0.000058149460813923005,0.0003258050940359806,-0.000212365722412477,0.000928391393420122,-0.0007725985922655753,0.0005917155059944109,-0.0004295676421488295,0.00013868934727500064]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.999497948551328, 0.014459885508163678, -0.008902647436940414, -0.001055675283903882, -0.00020193192417562644 ], [ -0.0005480002517599824, -0.0031856849155308432, -0.017966670236205528, -0.046331044734699636, 0.10632188384046232, 0.011770378643517213, -0.009237622377518542, 0.0007318982324697187, -0.0007171221316986529 ], [ -0.00011755655997189077, -0.0027978797827116174, -0.00410983359886735, -0.010202887042289832, -0.007818705220389514, 0.01815893098877191, -0.006008988645684698, 0.0015533855112082337, -0.0004955449020088298 ], [ 0.00040325635584624164, 0.0009195196368515235, -0.0012145305549819926, -0.002850732839142946, -0.00024680310888866824, -0.0007269253484991813, 0.0007873477781136127, 0.00016401901714022284, -0.00014749559263806797 ], [ 0.00007003151322846902, 0.000013250708351928488, -0.0002541281084275029, 0.00023436408659959678, -0.00006880364408601854, -0.00039107951503674016, -0.00004869094171836568, 0.0002696830770594613, -0.0000757773772186308 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08311692914727581, -0.0011348886211956155, 0.0005037380945475574, 0.000571417779141858 ], [ -0.000710393233452824, -0.0012657478911448179, -0.008233229835249168, -0.08132192799691153, -0.1488135215548577, 0.05550577010395684, -0.007194165690997477, 0.0008645248021297258, 0.0002635397350064794 ], [ -0.0005402517372676851, -0.0013933334046372678, 0.0006700575437470846, 0.010641104027809078, -0.04461851672297042, 0.013063527277120875, -0.00015519773790041025, -0.0013291017093345807, 0.00048038402894033465 ], [ -0.00016805422564299856, 0.0015325599735087903, 0.0024402979422521974, 0.001937798745981601, -0.005357511526262318, 0.002477612438135373, -0.00030836688213168955, -0.00046944660313104553, 0.00017500439048580792 ], [ -0.00010093549704252099, 0.000058149460813923005, 0.0003258050940359806, -0.000212365722412477, 0.000928391393420122, -0.0007725985922655753, 0.0005917155059944109, -0.0004295676421488295, 0.00013868934727500064 ] ]

DgST3yZdwZxDj7EviPEm2vU

{"aspect_ratio": 10.939239322809172, "major_radius": 1.0, "max_elongation": 5.603938900905464, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.09728044555365878, -0.34055738584824, 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": [[0.8134477920444247, 0.8134477962730384, 0.8134479742937096, 0.8134494196793204, 0.813455420677673, 0.8134728996788294, 0.813513855754308, 0.813596714956305, 0.8137475224229896, 0.814000927839961, 0.8144009279138678, 0.8150013386719559, 0.815865977771461, 0.8170685432138032, 0.8186921802846745, 0.8208287334221084, 0.823577684213979, 0.8270447809619288, 0.831340369310173, 0.8365774373970071, 0.8428693929054033, 0.850327593321942, 0.8590586547130497, 0.869161568446978, 0.8807246595851335, 0.8938224251989756, 0.9085122957094748, 0.9248313675784514, 0.9427931614059888, 0.9623844658304159, 0.9835623347446009, 1.0062513134367965, 1.0303409786002728, 1.0556838880848785, 1.0820940492610547, 1.1093460305888279, 1.1371748603548704, 1.1652768808905487, 1.1933117578780057, 1.2209058855739978, 1.2476574846113162, 1.2731437670844283, 1.2969306568027872, 1.31858572394771, 1.3376952665907833, 1.3538869358720915, 1.3668601574478465, 1.376428358680305, 1.3825812144298828, 1.3855879662093387, 1.386230607432322], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5200297383296023}

10.939239

1

5.603939

[ [ 0.8134477920444247, 0.8134477962730384, 0.8134479742937096, 0.8134494196793204, 0.813455420677673, 0.8134728996788294, 0.813513855754308, 0.813596714956305, 0.8137475224229896, 0.814000927839961, 0.8144009279138678, 0.8150013386719559, 0.815865977771461, 0.8170685432138032, 0.8186921802846745, 0.8208287334221084, 0.823577684213979, 0.8270447809619288, 0.831340369310173, 0.8365774373970071, 0.8428693929054033, 0.850327593321942, 0.8590586547130497, 0.869161568446978, 0.8807246595851335, 0.8938224251989756, 0.9085122957094748, 0.9248313675784514, 0.9427931614059888, 0.9623844658304159, 0.9835623347446009, 1.0062513134367965, 1.0303409786002728, 1.0556838880848785, 1.0820940492610547, 1.1093460305888279, 1.1371748603548704, 1.1652768808905487, 1.1933117578780057, 1.2209058855739978, 1.2476574846113162, 1.2731437670844283, 1.2969306568027872, 1.31858572394771, 1.3376952665907833, 1.3538869358720915, 1.3668601574478465, 1.376428358680305, 1.3825812144298828, 1.3855879662093387, 1.386230607432322 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.09728044555365878, -0.34055738584824, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.52003

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

DHzdBTsVvgR5tbBTXSvpaQt

null

false

null

false

DmiWt9mRkdt9MCqwyFRMXgE

DnNwSMkcjYhVSY3VtYH2mVk

{"qi": 0.004691662072517716, "vacuum_well": -0.06714089263470613, "aspect_ratio": 9.221114171055515, "max_elongation": 3.157386011574326, "average_triangularity": -0.03781175456747041, "axis_magnetic_mirror_ratio": 0.35426162913653514, "edge_magnetic_mirror_ratio": 0.4275199410626143, "aspect_ratio_over_edge_rotational_transform": 21.262709501472678, "flux_compression_in_regions_of_bad_curvature": 0.747566424986716, "axis_rotational_transform_over_n_field_periods": 0.19696946612209792, "edge_rotational_transform_over_n_field_periods": 0.21683770289051943, "minimum_normalized_magnetic_gradient_scale_length": 5.808613582486121}

9.221114

21.26271

-0.127915

0.354262

0.196969

0.42752

0.216838

0.747566

3.157386

5.808614

0.004692

-0.067141

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.011000892053200047,-0.06523679737263398,-0.008920115908947519,0.0031047741595704465],[-0.0003333076789809786,-0.014834359209003167,0.04016553474031319,-0.012112057709034873,0.10911165768375618,-0.02365736641845346,-0.004794162834358486,0.00009717604442458384,-0.0006982046902640449],[-0.0005401311412880485,0.002391145960885222,-0.002780539167599771,0.0015087981979068994,-0.003083436287107599,-0.00132488815707232,-0.0005379600445431468,-0.001913503035216844,-0.0008721592532709984],[-0.00022508161071212244,-0.00196161873228613,0.0010845412666761916,0.005662298360659579,-0.0052552670683798115,-0.005245932577921696,0.0007621669596566102,0.00039015694361296577,0.0002902880127932873],[-0.00009370894396896551,0.0009962922161526541,-0.001193923493009595,0.0009410461727116775,0.0006548134810836223,-0.0014903551591000513,-0.0001626866736937233,0.00044537136366031927,0.00033731241205462896]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.010774606662131694,-0.004296425063982933,0.0043321501357791534,0.0007489303318518899],[-0.0014005369200859258,-0.01003387163141128,0.0465002596786374,0.007778851124955193,-0.12243592614925984,0.005416531154042952,0.0009679870884109348,-0.001854764521087962,0.0007071125828535824],[-0.0009265334870580234,0.0032344290532686096,0.001509330635181052,-0.007272912784685989,0.002049785417277156,0.0042614823316485615,-0.0028526204123146214,0.0006073064839082756,0.0005476736463131362],[-0.0004879396322629034,0.00021085939884046324,0.003712265548040461,-0.00332035886655501,-0.001539375892619756,0.005041422511473438,0.0035284810960250173,0.0003696194455803623,-0.00010482407526705588],[0.00003571746849634607,0.00018507553231894135,-0.00007462294596569623,-0.00041743893242934083,-0.0002105709794788511,1.2569573677842136e-6,0.0004200458673404624,0.000022554993505110674,-0.00031696784981238586]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.011000892053200047, -0.06523679737263398, -0.008920115908947519, 0.0031047741595704465 ], [ -0.0003333076789809786, -0.014834359209003167, 0.04016553474031319, -0.012112057709034873, 0.10911165768375618, -0.02365736641845346, -0.004794162834358486, 0.00009717604442458384, -0.0006982046902640449 ], [ -0.0005401311412880485, 0.002391145960885222, -0.002780539167599771, 0.0015087981979068994, -0.003083436287107599, -0.00132488815707232, -0.0005379600445431468, -0.001913503035216844, -0.0008721592532709984 ], [ -0.00022508161071212244, -0.00196161873228613, 0.0010845412666761916, 0.005662298360659579, -0.0052552670683798115, -0.005245932577921696, 0.0007621669596566102, 0.00039015694361296577, 0.0002902880127932873 ], [ -0.00009370894396896551, 0.0009962922161526541, -0.001193923493009595, 0.0009410461727116775, 0.0006548134810836223, -0.0014903551591000513, -0.0001626866736937233, 0.00044537136366031927, 0.00033731241205462896 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.010774606662131694, -0.004296425063982933, 0.0043321501357791534, 0.0007489303318518899 ], [ -0.0014005369200859258, -0.01003387163141128, 0.0465002596786374, 0.007778851124955193, -0.12243592614925984, 0.005416531154042952, 0.0009679870884109348, -0.001854764521087962, 0.0007071125828535824 ], [ -0.0009265334870580234, 0.0032344290532686096, 0.001509330635181052, -0.007272912784685989, 0.002049785417277156, 0.0042614823316485615, -0.0028526204123146214, 0.0006073064839082756, 0.0005476736463131362 ], [ -0.0004879396322629034, 0.00021085939884046324, 0.003712265548040461, -0.00332035886655501, -0.001539375892619756, 0.005041422511473438, 0.0035284810960250173, 0.0003696194455803623, -0.00010482407526705588 ], [ 0.00003571746849634607, 0.00018507553231894135, -0.00007462294596569623, -0.00041743893242934083, -0.0002105709794788511, 0.0000012569573677842136, 0.0004200458673404624, 0.000022554993505110674, -0.00031696784981238586 ] ]

D8paPdEXt6eE2uuCTi4xZYY

{"aspect_ratio": 11.276821426437571, "major_radius": 1.0, "max_elongation": 6.644367710735792, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09573282869860412, 0.6108271136183497, 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": [[0.6401318747914388, 0.6401319185707784, 0.640133894219708, 0.6401502483448862, 0.6402178127957656, 0.640410853260582, 0.6408503451137461, 0.6417082604755483, 0.643206602305464, 0.64561151061967, 0.6492231376157821, 0.6543622118744528, 0.661354327468866, 0.6705130286419374, 0.6821227340697104, 0.6964224713982107, 0.713591284488943, 0.7337360423009454, 0.75688222769534, 0.7829681236076484, 0.8118426489879857, 0.8432669328805287, 0.8769195565688557, 0.9124052448539364, 0.9492666517550155, 0.9869987662726161, 1.0250653629476107, 1.0629168420127986, 1.1000087468031445, 1.135820213233265, 1.1698715986592627, 1.2017405560336254, 1.2310758642662274, 1.257608397045633, 1.281158709544927, 1.3016408444583667, 1.319062104193749, 1.3335187026995303, 1.345187395578784, 1.3543133872791147, 1.3611950247254143, 1.3661660020485313, 1.3695760137650614, 1.3717709944988765, 1.3730742597953187, 1.3737699981420137, 1.3740906355760611, 1.3742095662893214, 1.3742405586748245, 1.37424470150111, 1.374244809249063], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.541756294264069}

11.276821

1

6.644368

[ [ 0.6401318747914388, 0.6401319185707784, 0.640133894219708, 0.6401502483448862, 0.6402178127957656, 0.640410853260582, 0.6408503451137461, 0.6417082604755483, 0.643206602305464, 0.64561151061967, 0.6492231376157821, 0.6543622118744528, 0.661354327468866, 0.6705130286419374, 0.6821227340697104, 0.6964224713982107, 0.713591284488943, 0.7337360423009454, 0.75688222769534, 0.7829681236076484, 0.8118426489879857, 0.8432669328805287, 0.8769195565688557, 0.9124052448539364, 0.9492666517550155, 0.9869987662726161, 1.0250653629476107, 1.0629168420127986, 1.1000087468031445, 1.135820213233265, 1.1698715986592627, 1.2017405560336254, 1.2310758642662274, 1.257608397045633, 1.281158709544927, 1.3016408444583667, 1.319062104193749, 1.3335187026995303, 1.345187395578784, 1.3543133872791147, 1.3611950247254143, 1.3661660020485313, 1.3695760137650614, 1.3717709944988765, 1.3730742597953187, 1.3737699981420137, 1.3740906355760611, 1.3742095662893214, 1.3742405586748245, 1.37424470150111, 1.374244809249063 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.09573282869860412, 0.6108271136183497, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.541756

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

D6oAimVwwiVjA8BAvphkwNm

null

false

null

false

DgLz6fogrMgqaoiqx25XU9R

DcEzspLsozUYfxz7HcDRu8q

{"qi": 0.04449085833143564, "vacuum_well": -0.09402168969619565, "aspect_ratio": 10.197326563452137, "max_elongation": 4.407096493503023, "average_triangularity": -0.5000597180225695, "axis_magnetic_mirror_ratio": 0.13277688529163087, "edge_magnetic_mirror_ratio": 0.156675050750274, "aspect_ratio_over_edge_rotational_transform": 24.403729565919534, "flux_compression_in_regions_of_bad_curvature": 1.1782652284221287, "axis_rotational_transform_over_n_field_periods": 0.23134208211557697, "edge_rotational_transform_over_n_field_periods": 0.20892967478407437, "minimum_normalized_magnetic_gradient_scale_length": 5.595275376990215}

10.197327

24.40373

-0.602628

0.132777

0.231342

0.156675

0.20893

1.178265

4.407096

5.595275

0.044491

-0.094022

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.012827582420291845,-0.05979379553646441,0.003235045571195319,0.001090542272331481],[-0.0028215501525301013,0.0075328517884674425,0.038183288186421645,0.0017390910162454606,0.0788857212880434,0.008578730710805851,-0.01105281932797837,0.0008482468395894609,-0.0008268962541405362],[0.0006503800961907501,-0.0037524803359614035,-0.0076621414223056825,-0.003509952931917826,-0.007885378886336045,-0.00206293786210878,-0.0005286932698013321,-0.00046820350185378047,-0.0001528895660468166],[-0.0005367039710927814,0.0012965150676755273,0.002016615213747284,0.001178061658237347,0.0023017817308066493,0.0010703346159801838,0.00034291277589836,-0.000048029278056139634,0.00004517632168552448],[-0.00013018828752781983,-0.0007312660611120884,0.0001671821291363939,-0.00021886335687722625,-0.0003894428804024396,0.000083328609820966,-0.00022310553399429662,0.0000284229693817409,0.0000167142721085712]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.021868521647110877,0.027317084497767055,-0.00033792670639666003,-0.0018802374284756307],[0.00001469257606785809,0.004351974497104856,0.0509658029047068,0.009657795835198097,-0.1580414297997794,0.010093951850012424,-0.004805317339552695,0.001191576530202347,0.0008302343227758282],[0.001246404450823173,-0.0023582646377935264,-0.022866408658664655,-0.0009843181340582511,-0.01717646918691756,0.005598291146260516,-0.0012135156484383968,0.0011793355568464618,0.00032857720251078736],[-0.00020393075852603515,0.0007178328371406288,-0.0008759151167815266,-0.00399783130847081,-0.0017785870995249563,-0.0005893312250714361,-0.0007389653951287579,0.0002710710326248507,-0.000027001497923691964],[-0.00020215584242116622,-0.00048542653239697,-0.0002624883971150069,0.00015176452182598903,0.00038440266108093896,0.00007959638202300988,-0.00003057877632418768,9.774865347525778e-7,-0.00003495896539340168]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.012827582420291845, -0.05979379553646441, 0.003235045571195319, 0.001090542272331481 ], [ -0.0028215501525301013, 0.0075328517884674425, 0.038183288186421645, 0.0017390910162454606, 0.0788857212880434, 0.008578730710805851, -0.01105281932797837, 0.0008482468395894609, -0.0008268962541405362 ], [ 0.0006503800961907501, -0.0037524803359614035, -0.0076621414223056825, -0.003509952931917826, -0.007885378886336045, -0.00206293786210878, -0.0005286932698013321, -0.00046820350185378047, -0.0001528895660468166 ], [ -0.0005367039710927814, 0.0012965150676755273, 0.002016615213747284, 0.001178061658237347, 0.0023017817308066493, 0.0010703346159801838, 0.00034291277589836, -0.000048029278056139634, 0.00004517632168552448 ], [ -0.00013018828752781983, -0.0007312660611120884, 0.0001671821291363939, -0.00021886335687722625, -0.0003894428804024396, 0.000083328609820966, -0.00022310553399429662, 0.0000284229693817409, 0.0000167142721085712 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.021868521647110877, 0.027317084497767055, -0.00033792670639666003, -0.0018802374284756307 ], [ 0.00001469257606785809, 0.004351974497104856, 0.0509658029047068, 0.009657795835198097, -0.1580414297997794, 0.010093951850012424, -0.004805317339552695, 0.001191576530202347, 0.0008302343227758282 ], [ 0.001246404450823173, -0.0023582646377935264, -0.022866408658664655, -0.0009843181340582511, -0.01717646918691756, 0.005598291146260516, -0.0012135156484383968, 0.0011793355568464618, 0.00032857720251078736 ], [ -0.00020393075852603515, 0.0007178328371406288, -0.0008759151167815266, -0.00399783130847081, -0.0017785870995249563, -0.0005893312250714361, -0.0007389653951287579, 0.0002710710326248507, -0.000027001497923691964 ], [ -0.00020215584242116622, -0.00048542653239697, -0.0002624883971150069, 0.00015176452182598903, 0.00038440266108093896, 0.00007959638202300988, -0.00003057877632418768, 9.774865347525778e-7, -0.00003495896539340168 ] ]

D6teALviAYyfS6iNPMkkFSg

{"aspect_ratio": 10.034681708103681, "major_radius": 1.0, "max_elongation": 4.132355629718376, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.13181557104348332, -0.3854181659444069, 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": [[0.8920122701406432, 0.8920123260453356, 0.8920139753460552, 0.8920245396794207, 0.8920611130479194, 0.8921527791380761, 0.892341274572178, 0.8926803801640619, 0.8932343066698919, 0.8940753217812253, 0.8952808439171153, 0.8969302067047459, 0.8991012763457749, 0.901867082595636, 0.9052926029886116, 0.9094318193269744, 0.9143251453954643, 0.9199973054247784, 0.9264557240623191, 0.9336894705625447, 0.941668782627381, 0.9503451788526405, 0.9596521531127707, 0.9695064294882698, 0.9798097425546809, 0.9904510950592308, 1.001309433264951, 1.0122566696016868, 1.0231609727941957, 1.0338902374127747, 1.0443156378942515, 1.054315166605168, 1.0637770515735783, 1.072602947228259, 1.0807107910045384, 1.088037220184153, 1.0945394470507144, 1.100196496631532, 1.1050097202983025, 1.1090025107456778, 1.112219159923961, 1.1147228221307923, 1.1165925707207625, 1.117919570285144, 1.1188024289556266, 1.119341851281004, 1.1196347869617997, 1.1197683757133812, 1.1198141465785418, 1.1198231972635528, 1.1198236422919032], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4512325908149744}

10.034682

1

4.132356

[ [ 0.8920122701406432, 0.8920123260453356, 0.8920139753460552, 0.8920245396794207, 0.8920611130479194, 0.8921527791380761, 0.892341274572178, 0.8926803801640619, 0.8932343066698919, 0.8940753217812253, 0.8952808439171153, 0.8969302067047459, 0.8991012763457749, 0.901867082595636, 0.9052926029886116, 0.9094318193269744, 0.9143251453954643, 0.9199973054247784, 0.9264557240623191, 0.9336894705625447, 0.941668782627381, 0.9503451788526405, 0.9596521531127707, 0.9695064294882698, 0.9798097425546809, 0.9904510950592308, 1.001309433264951, 1.0122566696016868, 1.0231609727941957, 1.0338902374127747, 1.0443156378942515, 1.054315166605168, 1.0637770515735783, 1.072602947228259, 1.0807107910045384, 1.088037220184153, 1.0945394470507144, 1.100196496631532, 1.1050097202983025, 1.1090025107456778, 1.112219159923961, 1.1147228221307923, 1.1165925707207625, 1.117919570285144, 1.1188024289556266, 1.119341851281004, 1.1196347869617997, 1.1197683757133812, 1.1198141465785418, 1.1198231972635528, 1.1198236422919032 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.13181557104348332, -0.3854181659444069, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.451233

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

D6hPNAJ9ggjPG3K2r3vGifY

null

false

null

false

D5ZsAxsWepKD9uRdopzCdnh

DMUUR5DV6ABrQU92m24Ehto

{"qi": 0.05128558191292858, "vacuum_well": -0.12103520061085911, "aspect_ratio": 9.98028795343825, "max_elongation": 4.628409558343966, "average_triangularity": -0.424051785281088, "axis_magnetic_mirror_ratio": 0.12084028607585988, "edge_magnetic_mirror_ratio": 0.15741644466655427, "aspect_ratio_over_edge_rotational_transform": 34.86870455122525, "flux_compression_in_regions_of_bad_curvature": 1.1412466517140667, "axis_rotational_transform_over_n_field_periods": 0.2300515076289661, "edge_rotational_transform_over_n_field_periods": 0.2862247990537278, "minimum_normalized_magnetic_gradient_scale_length": 3.572747718417289}

9.980288

34.868705

-0.653003

0.12084

0.230052

0.157416

0.286225

1.141247

4.62841

3.572748

0.051286

-0.121035

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.015264329744244833,-0.21888426569430908,0.002844517783635992,0.014667277736807415],[0.003533973316650882,0.019716010404304356,0.040662097354914384,-0.0010747548330288037,0.08348746802566039,0.015674085249956653,-0.003066200406078603,-0.0032384070510803158,-0.0016992237804982979],[-0.0029958905990626282,-0.009452043333683638,-0.002232739361365577,0.006498521602761487,-0.020340471057926635,-0.0009243202155061422,-0.002289210294929929,-0.0019221279523898606,0.0002825719678874565],[0.0014722006176732284,0.0030357874342558915,0.0025113497968280904,-0.003182195411922363,0.0048229881809627945,-0.0005593440982550177,0.0018056234708529865,-0.001301575539283513,0.0001702796663275816],[-0.0004753191419079141,-0.0005114273901178755,0.00040800345975077216,-0.0012762239166494453,0.0007276001214351276,-0.0005496899894677776,0.0005352588812618151,-0.00004475142975267281,-0.00010278090238609013]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.029440634931650604,0.08741826259509025,0.009671668996383036,-0.005793178686322393],[0.0023789045272689007,0.015111561960160908,0.040675713165184785,0.018914733703817972,-0.1454656390910345,-0.009586577458437804,0.007845063974642384,-0.0002174165105590254,0.001145172212790298],[-0.0024634007472106997,-0.012222969976521225,-0.015468291282170466,-0.0016377792610586346,-0.004774160285844346,0.0016097083196953592,0.005423403592670669,-0.0011248053788034482,0.0005085817688917698],[0.0015098141513317114,0.003660843677147029,-0.0018981025096565295,-0.003993598594357215,-0.005416561415579083,-0.0014644662455141567,0.0007587237658895675,0.0004328842844981129,0.00007070540066605113],[-0.0006079015527826448,-0.001254769294060736,0.0006159383759314606,0.0011697789253714307,0.0006162491556712259,-0.000587771969328987,-0.00021473413075522485,-0.000010864222241949856,0.00015785193218850404]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.015264329744244833, -0.21888426569430908, 0.002844517783635992, 0.014667277736807415 ], [ 0.003533973316650882, 0.019716010404304356, 0.040662097354914384, -0.0010747548330288037, 0.08348746802566039, 0.015674085249956653, -0.003066200406078603, -0.0032384070510803158, -0.0016992237804982979 ], [ -0.0029958905990626282, -0.009452043333683638, -0.002232739361365577, 0.006498521602761487, -0.020340471057926635, -0.0009243202155061422, -0.002289210294929929, -0.0019221279523898606, 0.0002825719678874565 ], [ 0.0014722006176732284, 0.0030357874342558915, 0.0025113497968280904, -0.003182195411922363, 0.0048229881809627945, -0.0005593440982550177, 0.0018056234708529865, -0.001301575539283513, 0.0001702796663275816 ], [ -0.0004753191419079141, -0.0005114273901178755, 0.00040800345975077216, -0.0012762239166494453, 0.0007276001214351276, -0.0005496899894677776, 0.0005352588812618151, -0.00004475142975267281, -0.00010278090238609013 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.029440634931650604, 0.08741826259509025, 0.009671668996383036, -0.005793178686322393 ], [ 0.0023789045272689007, 0.015111561960160908, 0.040675713165184785, 0.018914733703817972, -0.1454656390910345, -0.009586577458437804, 0.007845063974642384, -0.0002174165105590254, 0.001145172212790298 ], [ -0.0024634007472106997, -0.012222969976521225, -0.015468291282170466, -0.0016377792610586346, -0.004774160285844346, 0.0016097083196953592, 0.005423403592670669, -0.0011248053788034482, 0.0005085817688917698 ], [ 0.0015098141513317114, 0.003660843677147029, -0.0018981025096565295, -0.003993598594357215, -0.005416561415579083, -0.0014644662455141567, 0.0007587237658895675, 0.0004328842844981129, 0.00007070540066605113 ], [ -0.0006079015527826448, -0.001254769294060736, 0.0006159383759314606, 0.0011697789253714307, 0.0006162491556712259, -0.000587771969328987, -0.00021473413075522485, -0.000010864222241949856, 0.00015785193218850404 ] ]

DUKfg35fGDxqdmzWtfbaKnT

{"aspect_ratio": 11.243397898001444, "major_radius": 1.0, "max_elongation": 4.149908137373993, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.050422298556569115, -0.18320494033759813, 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": [[0.8825029719164525, 0.8825029925600808, 0.8825039051851251, 0.8825113331511714, 0.882541552210406, 0.8826266438557197, 0.8828176557040484, 0.8831853828715066, 0.8838188216840993, 0.8848215977127578, 0.8863068097159239, 0.8883907968478006, 0.8911863507536381, 0.89479587191637, 0.8993049216828299, 0.904776556012904, 0.9112467506144123, 0.9187211449164837, 0.927173248481457, 0.9365441713700468, 0.9467438624299472, 0.95765376871036, 0.9691307669863413, 0.9810121660709922, 0.9931215371977101, 1.0052750999334394, 1.0172883731949778, 1.0289827950563628, 1.0401920209603162, 1.0507676272302418, 1.0605839747275598, 1.0695420251838397, 1.0775719490022553, 1.084634416789682, 1.09072052595141, 1.0958503765393959, 1.1000703751588152, 1.103449409852828, 1.1060741000234477, 1.1080433808960266, 1.1094627288403682, 1.1104383688050925, 1.1110718246982527, 1.1114551739256617, 1.1116673442655056, 1.1117717401268918, 1.1118154007005543, 1.1118297683585812, 1.1118329742698314, 1.1118333193117704, 1.1118333256383064], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.29561231585718395}

11.243398

1

4.149908

[ [ 0.8825029719164525, 0.8825029925600808, 0.8825039051851251, 0.8825113331511714, 0.882541552210406, 0.8826266438557197, 0.8828176557040484, 0.8831853828715066, 0.8838188216840993, 0.8848215977127578, 0.8863068097159239, 0.8883907968478006, 0.8911863507536381, 0.89479587191637, 0.8993049216828299, 0.904776556012904, 0.9112467506144123, 0.9187211449164837, 0.927173248481457, 0.9365441713700468, 0.9467438624299472, 0.95765376871036, 0.9691307669863413, 0.9810121660709922, 0.9931215371977101, 1.0052750999334394, 1.0172883731949778, 1.0289827950563628, 1.0401920209603162, 1.0507676272302418, 1.0605839747275598, 1.0695420251838397, 1.0775719490022553, 1.084634416789682, 1.09072052595141, 1.0958503765393959, 1.1000703751588152, 1.103449409852828, 1.1060741000234477, 1.1080433808960266, 1.1094627288403682, 1.1104383688050925, 1.1110718246982527, 1.1114551739256617, 1.1116673442655056, 1.1117717401268918, 1.1118154007005543, 1.1118297683585812, 1.1118329742698314, 1.1118333193117704, 1.1118333256383064 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.050422298556569115, -0.18320494033759813, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.295612

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

Dbv25ckDyywET2cpwqNZwMc

null

false

null

false

DBLqsX29b357oGULkzvLUtG

DZDnE9uiRXig7ckND3MEzgq

{"qi": 0.018590730552037336, "vacuum_well": -0.1465846748486146, "aspect_ratio": 10.285963131344397, "max_elongation": 4.463412273629902, "average_triangularity": -0.5255352204715937, "axis_magnetic_mirror_ratio": 0.12299270865985047, "edge_magnetic_mirror_ratio": 0.15336141582443535, "aspect_ratio_over_edge_rotational_transform": 31.58658622226086, "flux_compression_in_regions_of_bad_curvature": 1.002673481850571, "axis_rotational_transform_over_n_field_periods": 0.148302282188648, "edge_rotational_transform_over_n_field_periods": 0.162821696826726, "minimum_normalized_magnetic_gradient_scale_length": 4.107785033308007}

10.285963

31.586586

-0.797322

0.122993

0.148302

0.153361

0.162822

1.002673

4.463412

4.107785

0.018591

-0.146585

{"r_cos":[[0.0,0.0,0.0,0.0,0.999097828369506,-0.018793913100104184,-0.07209110136583662,-0.0034572014729039383,0.0011483491815901126],[-0.0048797946273945155,0.004326913353309102,0.02035702384582947,-0.01776941593430318,0.08191966599157435,-0.033573911924945535,0.004221807626210522,0.004623194695079918,-0.00042940262242342157],[-0.0002543025600043198,-0.004030390386116132,-0.01151108881058595,-0.01031659560750681,0.0052588516708861645,0.01144780902521109,-0.008284869785596517,0.004159298705368256,-0.0009101376270330112],[-0.0005134160190136321,0.000615692903730771,0.0012208879826858558,-0.000827894435656195,0.00047953947256532966,-0.0014981939061373118,0.0010215118236785508,-0.0006843119523312825,-0.00004670904365279492],[0.00006718543264848296,-0.000217269308042229,0.00041081708003039226,0.0007073488281307185,-0.0004629170507750588,0.00012911676526863695,-0.0003055782012077027,-0.000011572106057298676,-2.8681025262279456e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12281328851386185,0.023974874601826787,0.0008388931510451732,-0.0019290725256272904],[-0.002062274520821433,0.00034790331394499467,0.003802382814306456,-0.09123523960528426,-0.11318939924158133,0.053215688160761394,-0.0059614084412930556,0.005722714191304967,-0.0006478127868493749],[-0.00029907221768522244,-0.004818517807741082,-0.0017347773189323576,0.012214966676482007,-0.027601116368816663,0.01014376148516349,-0.0008639363090676086,-0.0005881365661685963,-0.00015418877417307903],[-0.0003256779796337372,0.00030879537962203617,0.0011323403706153643,-0.0016680205896852968,-0.00466524019636655,0.009334148501294767,-0.003661501238270161,0.0005422344027458301,-0.00013113541269470913],[0.00009548044137819961,-0.00017458786310339035,0.0001064016541501891,0.00021372851161453594,-0.0004104878293711784,0.0005381714247561793,0.0003771335188110814,-0.0001377708849884357,0.000017515501752134914]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.999097828369506, -0.018793913100104184, -0.07209110136583662, -0.0034572014729039383, 0.0011483491815901126 ], [ -0.0048797946273945155, 0.004326913353309102, 0.02035702384582947, -0.01776941593430318, 0.08191966599157435, -0.033573911924945535, 0.004221807626210522, 0.004623194695079918, -0.00042940262242342157 ], [ -0.0002543025600043198, -0.004030390386116132, -0.01151108881058595, -0.01031659560750681, 0.0052588516708861645, 0.01144780902521109, -0.008284869785596517, 0.004159298705368256, -0.0009101376270330112 ], [ -0.0005134160190136321, 0.000615692903730771, 0.0012208879826858558, -0.000827894435656195, 0.00047953947256532966, -0.0014981939061373118, 0.0010215118236785508, -0.0006843119523312825, -0.00004670904365279492 ], [ 0.00006718543264848296, -0.000217269308042229, 0.00041081708003039226, 0.0007073488281307185, -0.0004629170507750588, 0.00012911676526863695, -0.0003055782012077027, -0.000011572106057298676, -0.0000028681025262279456 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12281328851386185, 0.023974874601826787, 0.0008388931510451732, -0.0019290725256272904 ], [ -0.002062274520821433, 0.00034790331394499467, 0.003802382814306456, -0.09123523960528426, -0.11318939924158133, 0.053215688160761394, -0.0059614084412930556, 0.005722714191304967, -0.0006478127868493749 ], [ -0.00029907221768522244, -0.004818517807741082, -0.0017347773189323576, 0.012214966676482007, -0.027601116368816663, 0.01014376148516349, -0.0008639363090676086, -0.0005881365661685963, -0.00015418877417307903 ], [ -0.0003256779796337372, 0.00030879537962203617, 0.0011323403706153643, -0.0016680205896852968, -0.00466524019636655, 0.009334148501294767, -0.003661501238270161, 0.0005422344027458301, -0.00013113541269470913 ], [ 0.00009548044137819961, -0.00017458786310339035, 0.0001064016541501891, 0.00021372851161453594, -0.0004104878293711784, 0.0005381714247561793, 0.0003771335188110814, -0.0001377708849884357, 0.000017515501752134914 ] ]

DoNYmP75iKMVNkwkbny6bbf

{"aspect_ratio": 11.509642211338761, "major_radius": 1.0, "max_elongation": 4.206141667943616, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05134115884793386, -0.4312091102727875, 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": [[0.9040439467473564, 0.9040439487662184, 0.9040440509245331, 0.9040449726397718, 0.9040490719336116, 0.904061593213584, 0.9040919431070675, 0.9041548558708256, 0.904271349037379, 0.9044693989250083, 0.9047842888804156, 0.9052586025612043, 0.9059418512016937, 0.9068897382269283, 0.9081630771566949, 0.9098263897206428, 0.9119462206574114, 0.914589213914936, 0.9178200019909287, 0.9216989660116982, 0.9262799288843794, 0.9316078474972096, 0.9377165724965042, 0.9446267456376233, 0.9523439050796972, 0.9608568682486097, 0.9701364599968899, 0.9801346506976931, 0.9907841645641331, 1.0019986128099683, 1.0136731991688284, 1.025686036648874, 1.0379001040702491, 1.0501658587277993, 1.062324507205119, 1.0742119196347606, 1.0856631531587422, 1.096517527471107, 1.1066241684156086, 1.1158479036942532, 1.1240753564386385, 1.131221035692728, 1.1372331647038505, 1.1420989134987436, 1.1458486035140234, 1.1485583148455256, 1.150350123722713, 1.1513888711205147, 1.1518737706541524, 1.1520218704315024, 1.1520363597816479], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.3597593821520991}

11.509642

1

4.206142

[ [ 0.9040439467473564, 0.9040439487662184, 0.9040440509245331, 0.9040449726397718, 0.9040490719336116, 0.904061593213584, 0.9040919431070675, 0.9041548558708256, 0.904271349037379, 0.9044693989250083, 0.9047842888804156, 0.9052586025612043, 0.9059418512016937, 0.9068897382269283, 0.9081630771566949, 0.9098263897206428, 0.9119462206574114, 0.914589213914936, 0.9178200019909287, 0.9216989660116982, 0.9262799288843794, 0.9316078474972096, 0.9377165724965042, 0.9446267456376233, 0.9523439050796972, 0.9608568682486097, 0.9701364599968899, 0.9801346506976931, 0.9907841645641331, 1.0019986128099683, 1.0136731991688284, 1.025686036648874, 1.0379001040702491, 1.0501658587277993, 1.062324507205119, 1.0742119196347606, 1.0856631531587422, 1.096517527471107, 1.1066241684156086, 1.1158479036942532, 1.1240753564386385, 1.131221035692728, 1.1372331647038505, 1.1420989134987436, 1.1458486035140234, 1.1485583148455256, 1.150350123722713, 1.1513888711205147, 1.1518737706541524, 1.1520218704315024, 1.1520363597816479 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05134115884793386, -0.4312091102727875, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.359759

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

DjdoLjSFnZjgrdgfRHuc5v2

null

false

null

false

Dk2RyiDDdEm3atWhveEsJuf

D7B2FvBuPcSAsVPd7APXbLn

{"qi": 0.014109422713696682, "vacuum_well": -0.057703358609983275, "aspect_ratio": 9.613644649291762, "max_elongation": 4.850738466186172, "average_triangularity": -0.0063561384531158616, "axis_magnetic_mirror_ratio": 0.11509604614701616, "edge_magnetic_mirror_ratio": 0.21711916791725536, "aspect_ratio_over_edge_rotational_transform": 8.823658414704086, "flux_compression_in_regions_of_bad_curvature": 1.0740877364195371, "axis_rotational_transform_over_n_field_periods": 0.21657384301539814, "edge_rotational_transform_over_n_field_periods": 0.21790609285761137, "minimum_normalized_magnetic_gradient_scale_length": 8.962897632962974}

9.613645

8.823658

0.082785

0.115096

0.216574

0.217119

0.217906

1.074088

4.850738

8.962898

0.014109

-0.057703

{"r_cos":[[0.0,0.0,0.0,0.0,0.9996048616404618,-0.004747118899566122,-0.01185885114043548,0.0007715488833312931,-0.00006126093747314865],[0.001090903779000493,-0.0006790114492470365,-0.010878766634854556,-0.05360277331270735,0.14652424082860993,-0.0088103026305703,-0.0032531042191274746,0.000058486474422534416,-0.00011486580719421801],[0.0006209672494491979,0.002837485508428711,0.015344324534078748,0.017139112376967622,-0.01570359270874075,0.007205692022748716,-0.002901854542264463,-0.000592316487573357,-0.000025107543120432812],[-0.00026778857443078433,-0.00004629115291979955,-0.0006084671018754448,-0.002280872064776278,0.0031231293534124457,0.0004835650471172188,-0.00031925727090067026,-0.00017314215775476099,0.00002348308686788271],[-0.00009889462708172217,-0.0002025715315353389,-0.0008586859646044747,0.000613282962015948,0.00038286661676364703,-0.00009511279495175726,-0.00007376854552759932,-0.00006345715044303181,0.00002150923252170604]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.10049832683587215,0.012033920530438379,0.00014905021284384584,0.000615276668519977],[0.00036375909876948566,-0.0011318052300538538,-0.005887803458554115,-0.06063433275885893,-0.09913355227464377,0.024928463449222952,-0.0016018233578250275,0.001016132358059089,0.000058884160602487405],[0.0007336263274044408,0.0017620910681404316,0.007895893938255724,0.0028007747269785986,-0.011544221677480343,0.0013985647862502098,0.002611027551067999,-0.00011036791217462869,0.0001316526990339632],[0.00011433992584645014,0.0002633107617256101,0.0012881295653863905,0.0062634131072719906,-0.002426565239255144,-0.0009019759337821178,0.0001913610410313913,0.00006553086377287764,-0.00004484595807731095],[-0.00017925840833595203,0.000040982226990293906,-0.00007287487088864105,-0.0006695069842716386,-0.00012483629460964635,-0.000024344661881489866,0.0000341153226321876,1.1245104243258677e-6,0.000023244350767978312]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9996048616404618, -0.004747118899566122, -0.01185885114043548, 0.0007715488833312931, -0.00006126093747314865 ], [ 0.001090903779000493, -0.0006790114492470365, -0.010878766634854556, -0.05360277331270735, 0.14652424082860993, -0.0088103026305703, -0.0032531042191274746, 0.000058486474422534416, -0.00011486580719421801 ], [ 0.0006209672494491979, 0.002837485508428711, 0.015344324534078748, 0.017139112376967622, -0.01570359270874075, 0.007205692022748716, -0.002901854542264463, -0.000592316487573357, -0.000025107543120432812 ], [ -0.00026778857443078433, -0.00004629115291979955, -0.0006084671018754448, -0.002280872064776278, 0.0031231293534124457, 0.0004835650471172188, -0.00031925727090067026, -0.00017314215775476099, 0.00002348308686788271 ], [ -0.00009889462708172217, -0.0002025715315353389, -0.0008586859646044747, 0.000613282962015948, 0.00038286661676364703, -0.00009511279495175726, -0.00007376854552759932, -0.00006345715044303181, 0.00002150923252170604 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.10049832683587215, 0.012033920530438379, 0.00014905021284384584, 0.000615276668519977 ], [ 0.00036375909876948566, -0.0011318052300538538, -0.005887803458554115, -0.06063433275885893, -0.09913355227464377, 0.024928463449222952, -0.0016018233578250275, 0.001016132358059089, 0.000058884160602487405 ], [ 0.0007336263274044408, 0.0017620910681404316, 0.007895893938255724, 0.0028007747269785986, -0.011544221677480343, 0.0013985647862502098, 0.002611027551067999, -0.00011036791217462869, 0.0001316526990339632 ], [ 0.00011433992584645014, 0.0002633107617256101, 0.0012881295653863905, 0.0062634131072719906, -0.002426565239255144, -0.0009019759337821178, 0.0001913610410313913, 0.00006553086377287764, -0.00004484595807731095 ], [ -0.00017925840833595203, 0.000040982226990293906, -0.00007287487088864105, -0.0006695069842716386, -0.00012483629460964635, -0.000024344661881489866, 0.0000341153226321876, 0.0000011245104243258677, 0.000023244350767978312 ] ]

DVJV5rB45tbVoJbQU5geZdW

{"aspect_ratio": 9.204361730340837, "major_radius": 1.0, "max_elongation": 4.2883299568885285, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.22352254465753962, 0.1519855806898106, 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": [[0.8776537774988427, 0.8776539669593573, 0.877658145906529, 0.8776805556050227, 0.8777491572280055, 0.8779059868375336, 0.8782059647926509, 0.8787147553252671, 0.8795060399717175, 0.8806584594900898, 0.8822524146282148, 0.8843668730987332, 0.8870762988221088, 0.8904477953391632, 0.894538535814292, 0.8993935358158873, 0.9050438111810982, 0.9115049511659592, 0.9187761263529666, 0.9268395411575087, 0.9356603320402801, 0.9451869045454291, 0.9553516949308154, 0.9660723353509443, 0.9772531952279392, 0.9887872655491368, 1.0005583473208843, 1.0124435002554177, 1.024315702947458, 1.0360466712920846, 1.0475097776940707, 1.0585830097153803, 1.0691519032015722, 1.0791123816251647, 1.0883734303968873, 1.0968595322446286, 1.1045127874751957, 1.11129464105938, 1.1171871370778002, 1.1221936202204166, 1.1263388038703082, 1.1296681250021416, 1.132246307956123, 1.1341550625234362, 1.135489847367491, 1.1363556387452236, 1.1368616588649845, 1.1371150421926566, 1.1372134610907336, 1.1372368205439165, 1.1372383686811536], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0233371660668187}

9.204362

1

4.28833

[ [ 0.8776537774988427, 0.8776539669593573, 0.877658145906529, 0.8776805556050227, 0.8777491572280055, 0.8779059868375336, 0.8782059647926509, 0.8787147553252671, 0.8795060399717175, 0.8806584594900898, 0.8822524146282148, 0.8843668730987332, 0.8870762988221088, 0.8904477953391632, 0.894538535814292, 0.8993935358158873, 0.9050438111810982, 0.9115049511659592, 0.9187761263529666, 0.9268395411575087, 0.9356603320402801, 0.9451869045454291, 0.9553516949308154, 0.9660723353509443, 0.9772531952279392, 0.9887872655491368, 1.0005583473208843, 1.0124435002554177, 1.024315702947458, 1.0360466712920846, 1.0475097776940707, 1.0585830097153803, 1.0691519032015722, 1.0791123816251647, 1.0883734303968873, 1.0968595322446286, 1.1045127874751957, 1.11129464105938, 1.1171871370778002, 1.1221936202204166, 1.1263388038703082, 1.1296681250021416, 1.132246307956123, 1.1341550625234362, 1.135489847367491, 1.1363556387452236, 1.1368616588649845, 1.1371150421926566, 1.1372134610907336, 1.1372368205439165, 1.1372383686811536 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.22352254465753962, 0.1519855806898106, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.023337

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

DjYFvYWYz4RJW9g7oJikGRo

null

false

null

false

DD9xQXetLVCG6pRG2x6Lpyd

DTGfcdBPRWTiV4YF9ApabXZ

{"qi": 0.0790479947203652, "vacuum_well": -0.07478117109158611, "aspect_ratio": 9.626388514816705, "max_elongation": 4.717790063380868, "average_triangularity": -0.48956259294967486, "axis_magnetic_mirror_ratio": 0.3383628742912559, "edge_magnetic_mirror_ratio": 0.5981612753243072, "aspect_ratio_over_edge_rotational_transform": 9.017886371066085, "flux_compression_in_regions_of_bad_curvature": 1.0337290943542832, "axis_rotational_transform_over_n_field_periods": 0.25609980116602094, "edge_rotational_transform_over_n_field_periods": 0.21349544934837503, "minimum_normalized_magnetic_gradient_scale_length": 5.2036464082154374}

9.626389

9.017886

-0.620286

0.338363

0.2561

0.598161

0.213495

1.033729

4.71779

5.203646

0.079048

-0.074781

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.07110162719369323,-0.021674222581341163,-0.0029702834365534165,-0.00011579132867791525],[0.0009681137118686613,0.0008930797548259347,0.03300672019896561,0.03164208879214163,0.09610363414158671,-0.009966582618277448,-0.0034042969052943857,0.0005306442213112757,-0.0004233899643192811],[0.0004254677957018059,-0.0009342463265077502,-0.022933539756441933,-0.0010113431527651612,0.002147070674736792,0.0011857136814986957,-0.0005247769995955723,-0.0005600586394035332,-0.00010362268646612696],[-0.0007809226854214324,0.0016224396587779402,0.005378806181703595,-0.005172226595481931,0.0018016709143579162,0.0002812650114958587,-0.00006066899892029484,-0.00012844945486302148,-0.00008476488497512896],[0.00007134621222131248,-0.000886858230177768,0.0004504619005306245,0.0010940302651864103,-0.00026994833458422046,0.0000876634086430586,0.00009330700951691362,-0.00004883774812960176,-0.00001492942340967007]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.036275820124251484,0.01104108621618732,0.0025808476885371425,0.0009124921176317595],[0.0009808055721397342,0.0012149134065026635,0.03589862398209463,0.039168127611231,-0.14629084614211518,-0.0031823430183721482,0.0013482735347240954,-0.0006144261063974592,0.00042833889204398306],[0.0005671564434935584,-0.0013241738868998928,-0.01789692994279085,0.009544320792404347,-0.014535735718835709,-0.0036061595525962785,0.0001356354181967917,0.0003368329420789702,0.0001378728299216005],[-0.0009020742039550994,-0.00024669786874633625,-0.001082850540892727,-0.0039022772737557967,-0.0014054607903592482,-0.00017350291954881304,-0.0006431616582963902,0.00016079223614610103,0.00006721630051541771],[0.000029286051368045997,0.00027321281748780585,-0.00014848778923138664,0.0001077004581437177,-0.0002203132109740145,-0.00015602826723659841,-0.00015293361969679256,0.00011696430563184327,-0.000020277904375697563]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.07110162719369323, -0.021674222581341163, -0.0029702834365534165, -0.00011579132867791525 ], [ 0.0009681137118686613, 0.0008930797548259347, 0.03300672019896561, 0.03164208879214163, 0.09610363414158671, -0.009966582618277448, -0.0034042969052943857, 0.0005306442213112757, -0.0004233899643192811 ], [ 0.0004254677957018059, -0.0009342463265077502, -0.022933539756441933, -0.0010113431527651612, 0.002147070674736792, 0.0011857136814986957, -0.0005247769995955723, -0.0005600586394035332, -0.00010362268646612696 ], [ -0.0007809226854214324, 0.0016224396587779402, 0.005378806181703595, -0.005172226595481931, 0.0018016709143579162, 0.0002812650114958587, -0.00006066899892029484, -0.00012844945486302148, -0.00008476488497512896 ], [ 0.00007134621222131248, -0.000886858230177768, 0.0004504619005306245, 0.0010940302651864103, -0.00026994833458422046, 0.0000876634086430586, 0.00009330700951691362, -0.00004883774812960176, -0.00001492942340967007 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.036275820124251484, 0.01104108621618732, 0.0025808476885371425, 0.0009124921176317595 ], [ 0.0009808055721397342, 0.0012149134065026635, 0.03589862398209463, 0.039168127611231, -0.14629084614211518, -0.0031823430183721482, 0.0013482735347240954, -0.0006144261063974592, 0.00042833889204398306 ], [ 0.0005671564434935584, -0.0013241738868998928, -0.01789692994279085, 0.009544320792404347, -0.014535735718835709, -0.0036061595525962785, 0.0001356354181967917, 0.0003368329420789702, 0.0001378728299216005 ], [ -0.0009020742039550994, -0.00024669786874633625, -0.001082850540892727, -0.0039022772737557967, -0.0014054607903592482, -0.00017350291954881304, -0.0006431616582963902, 0.00016079223614610103, 0.00006721630051541771 ], [ 0.000029286051368045997, 0.00027321281748780585, -0.00014848778923138664, 0.0001077004581437177, -0.0002203132109740145, -0.00015602826723659841, -0.00015293361969679256, 0.00011696430563184327, -0.000020277904375697563 ] ]

DkgdcjwNFJ69HLN4C2KgBBS

{"aspect_ratio": 8.743807126874582, "major_radius": 1.0, "max_elongation": 4.167346801522705, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.013126779502053272, 0.2788100847616689, 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": [[0.8753392029216055, 0.8753399750402935, 0.8753541297747853, 0.8754211608603071, 0.8756078167061295, 0.8760024337079773, 0.8767076250242549, 0.8778326750881914, 0.8794863130329013, 0.8817702403415119, 0.8847736226356736, 0.8885686519448712, 0.8932072161587652, 0.898718663482621, 0.9051086145773083, 0.9123587495912816, 0.920427478943266, 0.9292513938221266, 0.9387473837873566, 0.9488153037609096, 0.9593410704950738, 0.9702000688240742, 0.9812607503033647, 0.9923883109273617, 1.0034483402643066, 1.0143103413662975, 1.0248510290436081, 1.0349573233983307, 1.0445289657738206, 1.0534806953874987, 1.061743936779655, 1.0692679607419284, 1.0760204945034522, 1.0819877705708845, 1.0871740176628357, 1.0916004115711049, 1.0953035184396505, 1.0983332777910884, 1.100750587555244, 1.1026245682578784, 1.1040295982848674, 1.1050422265958033, 1.105738083229542, 1.106188921170804, 1.1064599352851832, 1.1066075145776975, 1.1066775922126486, 1.1067047622583863, 1.1067123306042332, 1.1067134548366029, 1.1067134900846356], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.2807872019326672}

8.743807

1

4.167347

[ [ 0.8753392029216055, 0.8753399750402935, 0.8753541297747853, 0.8754211608603071, 0.8756078167061295, 0.8760024337079773, 0.8767076250242549, 0.8778326750881914, 0.8794863130329013, 0.8817702403415119, 0.8847736226356736, 0.8885686519448712, 0.8932072161587652, 0.898718663482621, 0.9051086145773083, 0.9123587495912816, 0.920427478943266, 0.9292513938221266, 0.9387473837873566, 0.9488153037609096, 0.9593410704950738, 0.9702000688240742, 0.9812607503033647, 0.9923883109273617, 1.0034483402643066, 1.0143103413662975, 1.0248510290436081, 1.0349573233983307, 1.0445289657738206, 1.0534806953874987, 1.061743936779655, 1.0692679607419284, 1.0760204945034522, 1.0819877705708845, 1.0871740176628357, 1.0916004115711049, 1.0953035184396505, 1.0983332777910884, 1.100750587555244, 1.1026245682578784, 1.1040295982848674, 1.1050422265958033, 1.105738083229542, 1.106188921170804, 1.1064599352851832, 1.1066075145776975, 1.1066775922126486, 1.1067047622583863, 1.1067123306042332, 1.1067134548366029, 1.1067134900846356 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.013126779502053272, 0.2788100847616689, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.280787

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

DdWfmr7ZRrJ3ueXtnac8NPf

null

false

null

false

DhQn22k7eaYjaoHEbDpqJbi

DnvmwkRw7ni36KuNvJ5LkEy

{"qi": 0.021996275160447366, "vacuum_well": -0.1492385350321923, "aspect_ratio": 10.372427912170025, "max_elongation": 3.7716460156543925, "average_triangularity": -0.4331824198708899, "axis_magnetic_mirror_ratio": 0.0993628665813881, "edge_magnetic_mirror_ratio": 0.16756870039616026, "aspect_ratio_over_edge_rotational_transform": 20.040314887169785, "flux_compression_in_regions_of_bad_curvature": 0.7956611276717859, "axis_rotational_transform_over_n_field_periods": 0.1842508429224082, "edge_rotational_transform_over_n_field_periods": 0.12939452262312834, "minimum_normalized_magnetic_gradient_scale_length": 5.681204905771549}

10.372428

20.040315

-0.710456

0.099363

0.184251

0.167569

0.129395

0.795661

3.771646

5.681205

0.021996

-0.149239

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.03717499228747083,-0.004511600262907909,-0.0012856875248320526,0.0004803351416821496],[-0.0003526703482734339,-0.008373489162282878,0.028509421439540543,-0.00784745624689108,0.07944981396784083,0.015019116930839817,-0.006641788110342444,-0.00031125100396246254,0.00014176529441725877],[-0.0019465891276019937,0.009739536897517262,-0.019003452629907932,-0.006622666473586956,-0.001661255748704399,0.005313107144129129,-0.002902470911994696,0.0010327195476276946,0.00039227808365452214],[0.0011188210400972808,-0.0032530901694841343,0.0028022807955716093,0.0018681309186947457,0.006053147398741051,0.004028832398898634,-0.00023104142679458077,0.00020258877428994343,0.0002374742341738396],[4.608659581737556e-6,0.0004174959027055824,-0.0010336464125565684,-0.0007540370954221276,0.0001564112966706628,0.0006569271607045814,-0.000056635353552653925,0.00009223755461418889,0.00007819924101677234]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.02919605856938076,0.004266075796758854,-0.0015580787504742384,-0.00037981953002782885],[-0.00006136534402865327,-0.00552194093804621,0.020368778928130292,0.029282466273726514,-0.1364511753116628,-0.0041362736104393494,0.002138900851873708,-0.0010625384252354628,-0.0004039265441746337],[-0.0019157420719682482,0.01105679512310824,-0.017452667681693013,-0.003495419936094082,-0.02314596347080537,-0.004178735752025324,0.00492230119967126,-0.00047717153857108376,-0.0001641890327090305],[0.001498210470240315,-0.0036806593508728795,0.004685354472603584,0.0021567903383218276,-0.004531926261651192,-0.0022456292305133192,0.001767097011137363,0.00021345468399262455,-0.0001328880698528486],[0.00023234834884169496,0.00009490474310532795,-0.00018408372203056807,0.00031562714702719697,-0.0007998452566612638,-0.00044510318583471407,0.00034234839991603976,-0.000025695337894492948,-0.00008664673783418841]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.03717499228747083, -0.004511600262907909, -0.0012856875248320526, 0.0004803351416821496 ], [ -0.0003526703482734339, -0.008373489162282878, 0.028509421439540543, -0.00784745624689108, 0.07944981396784083, 0.015019116930839817, -0.006641788110342444, -0.00031125100396246254, 0.00014176529441725877 ], [ -0.0019465891276019937, 0.009739536897517262, -0.019003452629907932, -0.006622666473586956, -0.001661255748704399, 0.005313107144129129, -0.002902470911994696, 0.0010327195476276946, 0.00039227808365452214 ], [ 0.0011188210400972808, -0.0032530901694841343, 0.0028022807955716093, 0.0018681309186947457, 0.006053147398741051, 0.004028832398898634, -0.00023104142679458077, 0.00020258877428994343, 0.0002374742341738396 ], [ 0.000004608659581737556, 0.0004174959027055824, -0.0010336464125565684, -0.0007540370954221276, 0.0001564112966706628, 0.0006569271607045814, -0.000056635353552653925, 0.00009223755461418889, 0.00007819924101677234 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.02919605856938076, 0.004266075796758854, -0.0015580787504742384, -0.00037981953002782885 ], [ -0.00006136534402865327, -0.00552194093804621, 0.020368778928130292, 0.029282466273726514, -0.1364511753116628, -0.0041362736104393494, 0.002138900851873708, -0.0010625384252354628, -0.0004039265441746337 ], [ -0.0019157420719682482, 0.01105679512310824, -0.017452667681693013, -0.003495419936094082, -0.02314596347080537, -0.004178735752025324, 0.00492230119967126, -0.00047717153857108376, -0.0001641890327090305 ], [ 0.001498210470240315, -0.0036806593508728795, 0.004685354472603584, 0.0021567903383218276, -0.004531926261651192, -0.0022456292305133192, 0.001767097011137363, 0.00021345468399262455, -0.0001328880698528486 ], [ 0.00023234834884169496, 0.00009490474310532795, -0.00018408372203056807, 0.00031562714702719697, -0.0007998452566612638, -0.00044510318583471407, 0.00034234839991603976, -0.000025695337894492948, -0.00008664673783418841 ] ]

D23ANA7KLXSj4oe7jsnMnxG

{"aspect_ratio": 11.70280923046492, "major_radius": 1.0, "max_elongation": 4.171012245736223, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.1535577394598654, -0.12684904901509744, 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": [[0.908632859373499, 0.9086328606763846, 0.908632931329502, 0.9086335969880222, 0.9086366519599305, 0.9086462154908527, 0.9086698695143673, 0.9087197541574914, 0.9088135252379808, 0.9089751003793268, 0.9092351394495409, 0.9096312217940842, 0.910207697707394, 0.9110152050809499, 0.9121098543737682, 0.9135520961018095, 0.9154052950221016, 0.9177340441531354, 0.9206022597627977, 0.924071105490953, 0.9281967998657912, 0.9330283666208057, 0.938605391413041, 0.9449558517644566, 0.9520940892693166, 0.9600189942945072, 0.9687124734992806, 0.978138269457091, 0.9882411994021071, 0.9989468765573445, 1.0101619725206479, 1.02177507265415, 1.0336581681754273, 1.0456688184757996, 1.0576530048295867, 1.0694486817704363, 1.080890014558619, 1.091812269766263, 1.1020573002821064, 1.111479534899492, 1.1199523445605823, 1.1273746100271915, 1.1336772557977797, 1.1388294370315895, 1.1428439609377081, 1.1457813752405166, 1.1477519324404768, 1.1489142720234256, 1.1494689856770792, 1.149643722940495, 1.1496616692029928], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7071335997458058}

11.702809

1

4.171012

[ [ 0.908632859373499, 0.9086328606763846, 0.908632931329502, 0.9086335969880222, 0.9086366519599305, 0.9086462154908527, 0.9086698695143673, 0.9087197541574914, 0.9088135252379808, 0.9089751003793268, 0.9092351394495409, 0.9096312217940842, 0.910207697707394, 0.9110152050809499, 0.9121098543737682, 0.9135520961018095, 0.9154052950221016, 0.9177340441531354, 0.9206022597627977, 0.924071105490953, 0.9281967998657912, 0.9330283666208057, 0.938605391413041, 0.9449558517644566, 0.9520940892693166, 0.9600189942945072, 0.9687124734992806, 0.978138269457091, 0.9882411994021071, 0.9989468765573445, 1.0101619725206479, 1.02177507265415, 1.0336581681754273, 1.0456688184757996, 1.0576530048295867, 1.0694486817704363, 1.080890014558619, 1.091812269766263, 1.1020573002821064, 1.111479534899492, 1.1199523445605823, 1.1273746100271915, 1.1336772557977797, 1.1388294370315895, 1.1428439609377081, 1.1457813752405166, 1.1477519324404768, 1.1489142720234256, 1.1494689856770792, 1.149643722940495, 1.1496616692029928 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.1535577394598654, -0.12684904901509744, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.707134

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

DVMUxGrgrqbmrEbrLvn9LZ2

null

false

null

false

DkSNTrhr5KapBaR3fy6AsRb

DknPQ4duMikEZiRUSWgwJat

{"qi": 0.007594325637097763, "vacuum_well": 0.01082441068627472, "aspect_ratio": 9.175122112801041, "max_elongation": 3.6397794105612635, "average_triangularity": 0.25562767744480164, "axis_magnetic_mirror_ratio": 0.3412384341767749, "edge_magnetic_mirror_ratio": 0.39343859293228245, "aspect_ratio_over_edge_rotational_transform": 32.15510867073769, "flux_compression_in_regions_of_bad_curvature": 0.7141452585397742, "axis_rotational_transform_over_n_field_periods": 0.27393660509842316, "edge_rotational_transform_over_n_field_periods": 0.28533948389826885, "minimum_normalized_magnetic_gradient_scale_length": 4.836486768797509}

9.175122

32.155109

0.203491

0.341238

0.273937

0.393439

0.285339

0.714145

3.639779

4.836487

0.007594

0.010824

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.001802817831429866,-0.20366281265395414,0.003579362694489409,0.009847125985112356],[0.0073323240758197804,0.011014584981188479,0.0456703944698172,-0.02344458153775031,0.10547752179221272,-0.006885961851656559,0.002173811255822382,-0.004047623662538155,-0.00039157892721859754],[0.0006926096884559917,0.0007540853049906357,-0.001432737934979741,0.0038383923955460156,-0.004007280017244133,-0.00032987056516241525,0.000450317807713456,0.0010590122988019266,0.0009569897380668978],[-0.0011308606505219146,0.0017201604392417498,-0.0024215240243011986,0.0012738574534792574,-0.002775339900939628,0.0023294622102885618,0.0013614057953406076,-0.00014956105425202007,0.00034460029120907414],[-0.0003729775668865949,-0.0009452077651057539,-0.00035370514888090733,0.000047043676779927324,0.0005988223785703175,0.0007759541428192187,-0.0002028435362347752,0.00012977551878318275,-0.00021380952135797093]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.011633959395665588,0.016964924233003883,0.0005267524774921924,-0.003959082542573825],[0.007451420446804269,0.0068637195958606975,0.048416712967517456,0.0021162998373008223,-0.13160724055055956,0.002593307594011876,0.0069415513866466425,0.00011943422967694312,0.0017724979907072515],[-0.000826650271384756,-0.002018286051080185,0.007451830794138943,0.004967028624790888,0.008299406781615932,-0.0029461064069826555,-0.00419473532924503,0.0011891113063702535,-0.0011895170228592635],[0.00010263608851000244,-0.000055168771452731474,0.0036024532431433763,-0.0018870673677695673,-0.0012680605685549066,0.001636446844063268,-0.0015900828193907684,0.00007564198300073814,-0.00030168622023708704],[-0.0002173631862348887,-0.0001530372057942297,0.00022029444336815838,0.0002117764044003925,-0.00002459876137381016,-0.00020185987047728214,-0.00006186561912302581,-0.00003913298166384136,0.00013436322943881235]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.001802817831429866, -0.20366281265395414, 0.003579362694489409, 0.009847125985112356 ], [ 0.0073323240758197804, 0.011014584981188479, 0.0456703944698172, -0.02344458153775031, 0.10547752179221272, -0.006885961851656559, 0.002173811255822382, -0.004047623662538155, -0.00039157892721859754 ], [ 0.0006926096884559917, 0.0007540853049906357, -0.001432737934979741, 0.0038383923955460156, -0.004007280017244133, -0.00032987056516241525, 0.000450317807713456, 0.0010590122988019266, 0.0009569897380668978 ], [ -0.0011308606505219146, 0.0017201604392417498, -0.0024215240243011986, 0.0012738574534792574, -0.002775339900939628, 0.0023294622102885618, 0.0013614057953406076, -0.00014956105425202007, 0.00034460029120907414 ], [ -0.0003729775668865949, -0.0009452077651057539, -0.00035370514888090733, 0.000047043676779927324, 0.0005988223785703175, 0.0007759541428192187, -0.0002028435362347752, 0.00012977551878318275, -0.00021380952135797093 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.011633959395665588, 0.016964924233003883, 0.0005267524774921924, -0.003959082542573825 ], [ 0.007451420446804269, 0.0068637195958606975, 0.048416712967517456, 0.0021162998373008223, -0.13160724055055956, 0.002593307594011876, 0.0069415513866466425, 0.00011943422967694312, 0.0017724979907072515 ], [ -0.000826650271384756, -0.002018286051080185, 0.007451830794138943, 0.004967028624790888, 0.008299406781615932, -0.0029461064069826555, -0.00419473532924503, 0.0011891113063702535, -0.0011895170228592635 ], [ 0.00010263608851000244, -0.000055168771452731474, 0.0036024532431433763, -0.0018870673677695673, -0.0012680605685549066, 0.001636446844063268, -0.0015900828193907684, 0.00007564198300073814, -0.00030168622023708704 ], [ -0.0002173631862348887, -0.0001530372057942297, 0.00022029444336815838, 0.0002117764044003925, -0.00002459876137381016, -0.00020185987047728214, -0.00006186561912302581, -0.00003913298166384136, 0.00013436322943881235 ] ]

D8cax6QMHnzUaPfgWQhoJgZ

{"aspect_ratio": 9.140259162802833, "major_radius": 1.0, "max_elongation": 6.270059816329278, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.14427379807128624, -0.3714269985554576, 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": [[0.6505891467061251, 0.6505907012324312, 0.6506232919906824, 0.6507903226574321, 0.651280238325562, 0.6523546850636338, 0.6543273402507495, 0.6575392023032176, 0.6623336352677489, 0.6690332029401135, 0.677919551945922, 0.6892170782348382, 0.7030807365607394, 0.7195880771938832, 0.738735389641837, 0.7604376817736022, 0.7845321126644023, 0.8107844204513608, 0.8388978364550498, 0.8685239491565471, 0.8992749726765761, 0.9307368812181425, 0.9624828910344878, 0.9940868027602032, 1.0251357575567073, 1.0552420088422807, 1.084053365928271, 1.111262025315822, 1.1366115684642444, 1.159901970336853, 1.1809925298290576, 1.1998027001894043, 1.2163108636818356, 1.2305511589397342, 1.2426085306574663, 1.2526122283621568, 1.2607280328816537, 1.2671495345955752, 1.2720888253713754, 1.275766994889433, 1.2784048403519874, 1.2802142046585558, 1.2813903500553008, 1.2821057496871076, 1.28250563550196, 1.282705573833477, 1.2827912446148044, 1.2828204691089402, 1.2828273523954241, 1.2828281591128172, 1.2828281763324676], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.2835062500148783}

9.140259

1

6.27006

[ [ 0.6505891467061251, 0.6505907012324312, 0.6506232919906824, 0.6507903226574321, 0.651280238325562, 0.6523546850636338, 0.6543273402507495, 0.6575392023032176, 0.6623336352677489, 0.6690332029401135, 0.677919551945922, 0.6892170782348382, 0.7030807365607394, 0.7195880771938832, 0.738735389641837, 0.7604376817736022, 0.7845321126644023, 0.8107844204513608, 0.8388978364550498, 0.8685239491565471, 0.8992749726765761, 0.9307368812181425, 0.9624828910344878, 0.9940868027602032, 1.0251357575567073, 1.0552420088422807, 1.084053365928271, 1.111262025315822, 1.1366115684642444, 1.159901970336853, 1.1809925298290576, 1.1998027001894043, 1.2163108636818356, 1.2305511589397342, 1.2426085306574663, 1.2526122283621568, 1.2607280328816537, 1.2671495345955752, 1.2720888253713754, 1.275766994889433, 1.2784048403519874, 1.2802142046585558, 1.2813903500553008, 1.2821057496871076, 1.28250563550196, 1.282705573833477, 1.2827912446148044, 1.2828204691089402, 1.2828273523954241, 1.2828281591128172, 1.2828281763324676 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.14427379807128624, -0.3714269985554576, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.283506

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

DZWFrG2g5MviiQ9SFBtaLdQ

null

false

null

false

D2PYRyrZdG5fSUNUv6A4Aye

DgTYVHVf5pYCyxBxaBNVGga

{"qi": 0.01073886706819036, "vacuum_well": -0.16086104738833498, "aspect_ratio": 9.26716873379028, "max_elongation": 4.158463417709533, "average_triangularity": -0.35916469271798446, "axis_magnetic_mirror_ratio": 0.39080649961311165, "edge_magnetic_mirror_ratio": 0.5355241859321309, "aspect_ratio_over_edge_rotational_transform": 10.274231336957376, "flux_compression_in_regions_of_bad_curvature": 0.7595289634239911, "axis_rotational_transform_over_n_field_periods": 0.22237707889994335, "edge_rotational_transform_over_n_field_periods": 0.18039634167970117, "minimum_normalized_magnetic_gradient_scale_length": 5.7794245175554435}

9.267169

10.274231

-0.579753

0.390806

0.222377

0.535524

0.180396

0.759529

4.158463

5.779425

0.010739

-0.160861

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.01855670119863065,-0.005288676187068034,-0.0001039804448269017,-0.00003058655965506793],[0.0008152749600728224,-0.004658773345666594,0.026228038384482934,0.015844954286514203,0.09949408255632683,-0.01274015900382864,-0.006544160968541808,0.0005719302702737656,-0.0002623861712016829],[-3.936973727359886e-6,0.004198229590988171,-0.02335774316439314,-0.021911878307231347,-0.0009022684283628256,-0.0033301028772056013,0.0003529002757290886,0.000046076722422727905,-0.000054034073242098426],[-0.0008868644289505054,-0.000046653260166539085,0.011135910514515554,-0.0030923588201575833,0.0022004065083878776,-0.0008909723082272739,-0.0006771127216446326,0.00006095128652313941,0.0002702700632530487],[0.00047940514490772224,-0.00108600461882862,-0.0014495249333491213,-0.0004403145961852082,0.0006015461151516943,-0.00003274860970571341,-0.00032113059090071875,-0.00005096091795193426,0.00009446149248065801]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.05511749736261439,-0.00045788381005453047,-0.0006503633834719284,-0.00006686073134725724],[0.0003658948551032269,-0.0017631195863940575,0.023724394296912407,0.030581418505614025,-0.1377574473436745,0.0007462013948020783,0.009308201739573765,0.00008501820613074514,-0.00026043571269481836],[-0.0003015081032080972,0.003469559952353724,-0.02048919034243602,0.004443206183629418,-0.00798006634550727,0.004002792405178862,0.0028492235218409417,-0.000084009786263812,-0.00008236510283898207],[-0.0006118225062284909,-0.0002948575628186511,0.0031165730255564425,0.002131582060967556,-0.0009811823033561364,0.001096472781536796,0.0006830622648569262,0.000015461585784152447,-0.0001814436219307926],[0.00033080202973181884,0.00041920426770885883,0.00017778187940170262,0.00007205509157589868,-0.0005649262339898158,0.00016155279529655076,0.0001394158984921491,0.000057783342653348755,-0.00005807775664314543]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.01855670119863065, -0.005288676187068034, -0.0001039804448269017, -0.00003058655965506793 ], [ 0.0008152749600728224, -0.004658773345666594, 0.026228038384482934, 0.015844954286514203, 0.09949408255632683, -0.01274015900382864, -0.006544160968541808, 0.0005719302702737656, -0.0002623861712016829 ], [ -0.000003936973727359886, 0.004198229590988171, -0.02335774316439314, -0.021911878307231347, -0.0009022684283628256, -0.0033301028772056013, 0.0003529002757290886, 0.000046076722422727905, -0.000054034073242098426 ], [ -0.0008868644289505054, -0.000046653260166539085, 0.011135910514515554, -0.0030923588201575833, 0.0022004065083878776, -0.0008909723082272739, -0.0006771127216446326, 0.00006095128652313941, 0.0002702700632530487 ], [ 0.00047940514490772224, -0.00108600461882862, -0.0014495249333491213, -0.0004403145961852082, 0.0006015461151516943, -0.00003274860970571341, -0.00032113059090071875, -0.00005096091795193426, 0.00009446149248065801 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.05511749736261439, -0.00045788381005453047, -0.0006503633834719284, -0.00006686073134725724 ], [ 0.0003658948551032269, -0.0017631195863940575, 0.023724394296912407, 0.030581418505614025, -0.1377574473436745, 0.0007462013948020783, 0.009308201739573765, 0.00008501820613074514, -0.00026043571269481836 ], [ -0.0003015081032080972, 0.003469559952353724, -0.02048919034243602, 0.004443206183629418, -0.00798006634550727, 0.004002792405178862, 0.0028492235218409417, -0.000084009786263812, -0.00008236510283898207 ], [ -0.0006118225062284909, -0.0002948575628186511, 0.0031165730255564425, 0.002131582060967556, -0.0009811823033561364, 0.001096472781536796, 0.0006830622648569262, 0.000015461585784152447, -0.0001814436219307926 ], [ 0.00033080202973181884, 0.00041920426770885883, 0.00017778187940170262, 0.00007205509157589868, -0.0005649262339898158, 0.00016155279529655076, 0.0001394158984921491, 0.000057783342653348755, -0.00005807775664314543 ] ]

DKNa8MfFtz9wSZZaCdFevYE

{"aspect_ratio": 8.729049925606445, "major_radius": 1.0, "max_elongation": 6.590887509449376, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09963601624234103, -0.47918027232955374, 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": [[0.6501425457983608, 0.6501436863530362, 0.6501648861478293, 0.6502671190625561, 0.6505576460533781, 0.6511853168782188, 0.652332711733653, 0.6542068543807217, 0.6570294026453328, 0.6610268778298932, 0.6664213098380977, 0.6734215609064441, 0.6822155138349089, 0.6929632550140373, 0.7057913403693087, 0.7207881990941601, 0.7380007030186939, 0.7574319069474871, 0.7790399461607677, 0.8027380607275508, 0.8283957017737094, 0.855840661979869, 0.8848621610540703, 0.91521480650536, 0.9466233405619043, 0.978788075394188, 1.0113909108123291, 1.0441018212204496, 1.0765856917613932, 1.1085093772166084, 1.1395488512945855, 1.1693963084121237, 1.197767074919516, 1.2244061819245728, 1.249094447419807, 1.2716539113082526, 1.2919524631610833, 1.309907499139432, 1.3254884415019146, 1.338717951544384, 1.3496716647512437, 1.3584762754886384, 1.3653057979102763, 1.3703758301488682, 1.3739356507796296, 1.3762579807481874, 1.377626251907941, 1.378319237980508, 1.378592932031291, 1.3786596158991893, 1.3786642406542375], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.006527918599198}

8.72905

1

6.590888

[ [ 0.6501425457983608, 0.6501436863530362, 0.6501648861478293, 0.6502671190625561, 0.6505576460533781, 0.6511853168782188, 0.652332711733653, 0.6542068543807217, 0.6570294026453328, 0.6610268778298932, 0.6664213098380977, 0.6734215609064441, 0.6822155138349089, 0.6929632550140373, 0.7057913403693087, 0.7207881990941601, 0.7380007030186939, 0.7574319069474871, 0.7790399461607677, 0.8027380607275508, 0.8283957017737094, 0.855840661979869, 0.8848621610540703, 0.91521480650536, 0.9466233405619043, 0.978788075394188, 1.0113909108123291, 1.0441018212204496, 1.0765856917613932, 1.1085093772166084, 1.1395488512945855, 1.1693963084121237, 1.197767074919516, 1.2244061819245728, 1.249094447419807, 1.2716539113082526, 1.2919524631610833, 1.309907499139432, 1.3254884415019146, 1.338717951544384, 1.3496716647512437, 1.3584762754886384, 1.3653057979102763, 1.3703758301488682, 1.3739356507796296, 1.3762579807481874, 1.377626251907941, 1.378319237980508, 1.378592932031291, 1.3786596158991893, 1.3786642406542375 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.09963601624234103, -0.47918027232955374, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.006528

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

D7qSN3VTPqdY2bZZEkxT7aT

null

false

null

false

DNyxX2frYaZDsyHhG79BLc6

DRUeuFhFtDAWfJ3WHcbTNqq

{"qi": 0.0048747843670332545, "vacuum_well": -0.13695124292296845, "aspect_ratio": 9.70367176132813, "max_elongation": 5.525297992323722, "average_triangularity": -0.37534001826500596, "axis_magnetic_mirror_ratio": 0.2106196959680292, "edge_magnetic_mirror_ratio": 0.23668277899178963, "aspect_ratio_over_edge_rotational_transform": 27.14217451634656, "flux_compression_in_regions_of_bad_curvature": 1.1267463338403167, "axis_rotational_transform_over_n_field_periods": 0.12360596362889664, "edge_rotational_transform_over_n_field_periods": 0.08937817192469256, "minimum_normalized_magnetic_gradient_scale_length": 7.56625606472948}

9.703672

27.142175

-0.864034

0.21062

0.123606

0.236683

0.089378

1.126746

5.525298

7.566256

0.004875

-0.136951

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.01403237900226738,-0.0239293362532347,-0.0020199406806587217,0.00015848685304725848],[-0.00002636320296779559,0.003514836153949466,0.0004650727243441933,-0.07825796916080852,0.07428993131457222,0.042779830533067165,0.0032919192394378254,0.0024561740462781026,0.0001476063659969635],[0.00020063429524187998,-0.002789612228140069,-0.004006537561541763,0.02470313677862626,-0.02189371426833084,-0.00551767025097079,-0.004862900166890372,-0.0005493114275427653,0.00019746451608521005],[-0.00014432865749431517,-0.00036212483677661075,0.003384064573003458,-0.006928141564165113,0.0026968673195977943,0.000846794520747087,0.0012382351502861254,0.0004950340770061247,-0.000017340494206065157],[-0.00009690684059192377,0.0005376936949346323,-0.0008778621114155752,0.0007646786081596441,-0.001136799573598593,0.00047932126987455933,-0.0002489584848549019,0.000039778052243256024,0.00001123058675963544]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06447626232220423,0.016486856360854615,0.00250479662076422,-0.0006769294318697203],[-0.00022764103649395564,-0.0006164293948921296,0.019894708150885874,-0.015838952567759947,-0.16608368395361198,0.0033280202799127797,-0.007144262327206767,-0.00002080220394526784,0.00028373776105906695],[0.0004314965104948104,0.0008793772908269302,-0.016407059257175692,0.010239222875604167,0.0034643694912222535,-0.003003147147785432,0.0004483144555293278,-0.0011484510930476045,0.00007497409197867571],[0.00007460867591009398,-0.0017844360488383226,0.004396718862635124,-0.005211261424479459,-0.0006424091006603672,0.000037409543072851846,0.0001196636846814837,0.0004218048134811604,0.00017006691875780982],[-0.00008290612743405148,0.0003149347868630992,-0.00074255043232851,0.000528672717285793,0.0002874890846809347,-0.000571522593007269,-0.00005509641792045072,-0.0002028151038376663,0.00003263016218122697]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.01403237900226738, -0.0239293362532347, -0.0020199406806587217, 0.00015848685304725848 ], [ -0.00002636320296779559, 0.003514836153949466, 0.0004650727243441933, -0.07825796916080852, 0.07428993131457222, 0.042779830533067165, 0.0032919192394378254, 0.0024561740462781026, 0.0001476063659969635 ], [ 0.00020063429524187998, -0.002789612228140069, -0.004006537561541763, 0.02470313677862626, -0.02189371426833084, -0.00551767025097079, -0.004862900166890372, -0.0005493114275427653, 0.00019746451608521005 ], [ -0.00014432865749431517, -0.00036212483677661075, 0.003384064573003458, -0.006928141564165113, 0.0026968673195977943, 0.000846794520747087, 0.0012382351502861254, 0.0004950340770061247, -0.000017340494206065157 ], [ -0.00009690684059192377, 0.0005376936949346323, -0.0008778621114155752, 0.0007646786081596441, -0.001136799573598593, 0.00047932126987455933, -0.0002489584848549019, 0.000039778052243256024, 0.00001123058675963544 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06447626232220423, 0.016486856360854615, 0.00250479662076422, -0.0006769294318697203 ], [ -0.00022764103649395564, -0.0006164293948921296, 0.019894708150885874, -0.015838952567759947, -0.16608368395361198, 0.0033280202799127797, -0.007144262327206767, -0.00002080220394526784, 0.00028373776105906695 ], [ 0.0004314965104948104, 0.0008793772908269302, -0.016407059257175692, 0.010239222875604167, 0.0034643694912222535, -0.003003147147785432, 0.0004483144555293278, -0.0011484510930476045, 0.00007497409197867571 ], [ 0.00007460867591009398, -0.0017844360488383226, 0.004396718862635124, -0.005211261424479459, -0.0006424091006603672, 0.000037409543072851846, 0.0001196636846814837, 0.0004218048134811604, 0.00017006691875780982 ], [ -0.00008290612743405148, 0.0003149347868630992, -0.00074255043232851, 0.000528672717285793, 0.0002874890846809347, -0.000571522593007269, -0.00005509641792045072, -0.0002028151038376663, 0.00003263016218122697 ] ]

DWQHrto4ytu6JxVfzFdG9LW

{"aspect_ratio": 9.135381981605649, "major_radius": 1.0, "max_elongation": 5.067711522790823, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.29584101822237674, -0.17284447699648198, 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": [[0.8550861192385754, 0.8550861720063024, 0.8550873463097934, 0.8550937848160266, 0.8551140717834899, 0.8551619973183495, 0.8552569913992252, 0.8554243217192802, 0.8556951046537419, 0.8561061604458604, 0.856699734355782, 0.8575231000681899, 0.8586280582057401, 0.8600703404836846, 0.8619089284275232, 0.8642052944172536, 0.8670225719759571, 0.8704246615989704, 0.8744752779665869, 0.879236944061541, 0.8847699374985544, 0.8911311942517686, 0.8983731749279794, 0.9065426987752405, 0.9156797507377964, 0.9258162670736506, 0.9369749053487679, 0.9491678050251169, 0.9623953453875032, 0.9766449082329706, 0.9918896536130171, 1.0080873180233505, 1.02517904584814, 1.0430882666833234, 1.0617196335251322, 1.0809580399156453, 1.1006677382815708, 1.1206915873292114, 1.1408504641532335, 1.1609428877698096, 1.180744916889403, 1.2000104089668744, 1.2184717653899557, 1.2358413494365625, 1.2518138701652897, 1.2660702220703113, 1.2782836665520487, 1.2881301390195374, 1.2953068743783793, 1.2995720603423435, 1.300877123135638], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4330152365251869}

9.135382

1

5.067712

[ [ 0.8550861192385754, 0.8550861720063024, 0.8550873463097934, 0.8550937848160266, 0.8551140717834899, 0.8551619973183495, 0.8552569913992252, 0.8554243217192802, 0.8556951046537419, 0.8561061604458604, 0.856699734355782, 0.8575231000681899, 0.8586280582057401, 0.8600703404836846, 0.8619089284275232, 0.8642052944172536, 0.8670225719759571, 0.8704246615989704, 0.8744752779665869, 0.879236944061541, 0.8847699374985544, 0.8911311942517686, 0.8983731749279794, 0.9065426987752405, 0.9156797507377964, 0.9258162670736506, 0.9369749053487679, 0.9491678050251169, 0.9623953453875032, 0.9766449082329706, 0.9918896536130171, 1.0080873180233505, 1.02517904584814, 1.0430882666833234, 1.0617196335251322, 1.0809580399156453, 1.1006677382815708, 1.1206915873292114, 1.1408504641532335, 1.1609428877698096, 1.180744916889403, 1.2000104089668744, 1.2184717653899557, 1.2358413494365625, 1.2518138701652897, 1.2660702220703113, 1.2782836665520487, 1.2881301390195374, 1.2953068743783793, 1.2995720603423435, 1.300877123135638 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.29584101822237674, -0.17284447699648198, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.433015

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

DHM7T5QfhwXBESucCbyhGas

null

false

null

false

DV57hUMgyqwWRWBrGBARfoq