proxima-fusion/constellaration · Datasets at Hugging Face

DRKWSQeZaYtmyKwAbkJkCTy

{"qi": 0.014032677832195877, "vacuum_well": -0.21040131544717888, "aspect_ratio": 9.25364175358846, "max_elongation": 6.8285607785988915, "average_triangularity": -0.14021242943710924, "axis_magnetic_mirror_ratio": 0.3150489341824506, "edge_magnetic_mirror_ratio": 0.48455908877546183, "aspect_ratio_over_edge_rotational_transform": 8.875238081349421, "flux_compression_in_regions_of_bad_curvature": 1.199678254572828, "axis_rotational_transform_over_n_field_periods": 0.21519525317750143, "edge_rotational_transform_over_n_field_periods": 0.3475452965794883, "minimum_normalized_magnetic_gradient_scale_length": 5.2562709299012855}

9.253642

8.875238

-0.475137

0.315049

0.215195

0.484559

0.347545

1.199678

6.828561

5.256271

0.014033

-0.210401

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.042906316686879956,-0.031864707600051445,0.00017373490824503914,-0.00009972768376614179],[-0.004487366429675116,0.0022235433086516135,0.05431120261711868,-0.01888831906682415,0.08655905160427141,-0.039977219596029435,-0.015499917101791525,0.0010941135676125133,0.0011331246134021465],[0.0024722414002011583,-0.006150523297254545,-0.007570694259477579,-0.021647419564732488,-0.025138087847791833,0.0015791953539629894,-0.0020694999626071527,0.00023104755037935175,0.0005577556173373623],[0.000845554898504201,-0.0025332077028419582,0.00598943799958379,-0.004317589843364939,-0.0037846985566103546,-0.000964606138600441,0.0005409358062259326,-0.00017505617961845426,0.00014287321748737567],[0.00030911898656634505,0.000018193912147476047,-0.0021078145043187156,-0.00004821221744463149,-0.00021821414648907846,-0.00012831266928019659,0.00019477217240597227,-0.00006769685196902225,-0.000028903904842961453]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07355796050310502,0.007194290648445504,-0.003905843823946705,-0.0010622095524174847],[-0.0021715610705670702,0.008963787435857325,0.04835886405367218,-0.04204331976837947,-0.15908056468835877,0.015242567522657107,0.015269642224257054,0.001514839242008449,-0.0006474220301146995],[0.0012941784253776272,-0.008019040680292102,-0.019098631026830223,-0.0037523987897274966,0.01647800993737059,0.005882888329173654,0.004151298937634663,0.0006862921186834201,-0.00018056181075230815],[-0.00004135678280134576,0.001271278399380615,-0.0043896631404910956,0.0025821245033716776,0.0001277423408978686,0.0003322108634911923,0.00023919919854283479,-6.305659337322873e-6,-0.00013461907100037102],[-0.0004999740730109638,-0.00047295220929899443,0.00037146810384830063,-0.00007009867179319146,-0.00003542994829979981,0.00038138806205286987,-0.00010616080111191671,0.000032415371043143144,0.0000305678319772254]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.042906316686879956, -0.031864707600051445, 0.00017373490824503914, -0.00009972768376614179 ], [ -0.004487366429675116, 0.0022235433086516135, 0.05431120261711868, -0.01888831906682415, 0.08655905160427141, -0.039977219596029435, -0.015499917101791525, 0.0010941135676125133, 0.0011331246134021465 ], [ 0.0024722414002011583, -0.006150523297254545, -0.007570694259477579, -0.021647419564732488, -0.025138087847791833, 0.0015791953539629894, -0.0020694999626071527, 0.00023104755037935175, 0.0005577556173373623 ], [ 0.000845554898504201, -0.0025332077028419582, 0.00598943799958379, -0.004317589843364939, -0.0037846985566103546, -0.000964606138600441, 0.0005409358062259326, -0.00017505617961845426, 0.00014287321748737567 ], [ 0.00030911898656634505, 0.000018193912147476047, -0.0021078145043187156, -0.00004821221744463149, -0.00021821414648907846, -0.00012831266928019659, 0.00019477217240597227, -0.00006769685196902225, -0.000028903904842961453 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07355796050310502, 0.007194290648445504, -0.003905843823946705, -0.0010622095524174847 ], [ -0.0021715610705670702, 0.008963787435857325, 0.04835886405367218, -0.04204331976837947, -0.15908056468835877, 0.015242567522657107, 0.015269642224257054, 0.001514839242008449, -0.0006474220301146995 ], [ 0.0012941784253776272, -0.008019040680292102, -0.019098631026830223, -0.0037523987897274966, 0.01647800993737059, 0.005882888329173654, 0.004151298937634663, 0.0006862921186834201, -0.00018056181075230815 ], [ -0.00004135678280134576, 0.001271278399380615, -0.0043896631404910956, 0.0025821245033716776, 0.0001277423408978686, 0.0003322108634911923, 0.00023919919854283479, -0.000006305659337322873, -0.00013461907100037102 ], [ -0.0004999740730109638, -0.00047295220929899443, 0.00037146810384830063, -0.00007009867179319146, -0.00003542994829979981, 0.00038138806205286987, -0.00010616080111191671, 0.000032415371043143144, 0.0000305678319772254 ] ]

Daq26PWNugcaMRNkaPfHQLN

{"aspect_ratio": 10.41759725902947, "major_radius": 1.0, "max_elongation": 6.638248365434001, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.34558736761795295, 0.14326413681444855, 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": [[0.6500744728958889, 0.6500745760865213, 0.6500780591204158, 0.650102296812027, 0.6501912365054963, 0.6504242081318313, 0.6509204347404941, 0.651839480020701, 0.6533781293764189, 0.6557643115423937, 0.6592487087196175, 0.6640947052986428, 0.6705673031954672, 0.6789215938887083, 0.689391328500209, 0.7021780710824002, 0.7174413590490905, 0.7352902301800056, 0.7557764092110156, 0.7788893797891078, 0.8045535004340431, 0.8326272568850466, 0.862904678503932, 0.8951188838711988, 0.9289476609168211, 0.9640209304087909, 0.999929888896949, 1.0362375787861307, 1.0724905896019146, 1.1082315562366833, 1.1430120875674556, 1.1764057328970075, 1.2080205748088182, 1.2375110259281268, 1.2645884045101052, 1.289029870601564, 1.3106853217530907, 1.329481876086466, 1.3454256123874142, 1.3586002935749344, 1.3691628736485497, 1.377335681968988, 1.3833952964336755, 1.3876582642755801, 1.3904640138745359, 1.39215553546734, 1.3930587132254417, 1.393461601969376, 1.3935955310587795, 1.3936208565557116, 1.3936220127190744], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6929478759235786}

10.417597

1

6.638248

[ [ 0.6500744728958889, 0.6500745760865213, 0.6500780591204158, 0.650102296812027, 0.6501912365054963, 0.6504242081318313, 0.6509204347404941, 0.651839480020701, 0.6533781293764189, 0.6557643115423937, 0.6592487087196175, 0.6640947052986428, 0.6705673031954672, 0.6789215938887083, 0.689391328500209, 0.7021780710824002, 0.7174413590490905, 0.7352902301800056, 0.7557764092110156, 0.7788893797891078, 0.8045535004340431, 0.8326272568850466, 0.862904678503932, 0.8951188838711988, 0.9289476609168211, 0.9640209304087909, 0.999929888896949, 1.0362375787861307, 1.0724905896019146, 1.1082315562366833, 1.1430120875674556, 1.1764057328970075, 1.2080205748088182, 1.2375110259281268, 1.2645884045101052, 1.289029870601564, 1.3106853217530907, 1.329481876086466, 1.3454256123874142, 1.3586002935749344, 1.3691628736485497, 1.377335681968988, 1.3833952964336755, 1.3876582642755801, 1.3904640138745359, 1.39215553546734, 1.3930587132254417, 1.393461601969376, 1.3935955310587795, 1.3936208565557116, 1.3936220127190744 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.34558736761795295, 0.14326413681444855, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.692948

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

DQE8j9T4NrEk89wLVXQwwPy

null

false

null

false

DkyVQxhEYWXFeDGN9eKHxCe

DMGNovAKsbS4sRpcLxWJhL9

{"qi": 0.018789829561987575, "vacuum_well": -0.12676818463326217, "aspect_ratio": 10.262348974547457, "max_elongation": 4.389007136075944, "average_triangularity": -0.5416207260115433, "axis_magnetic_mirror_ratio": 0.10978485355480894, "edge_magnetic_mirror_ratio": 0.17054535733816306, "aspect_ratio_over_edge_rotational_transform": 22.271260633055398, "flux_compression_in_regions_of_bad_curvature": 1.1480143080113059, "axis_rotational_transform_over_n_field_periods": 0.2025607059488786, "edge_rotational_transform_over_n_field_periods": 0.23039443396652406, "minimum_normalized_magnetic_gradient_scale_length": 5.2254931777985485}

10.262349

22.271261

-0.80449

0.109785

0.202561

0.170545

0.230394

1.148014

4.389007

5.225493

0.01879

-0.126768

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.021500024185789612,-0.053038640027883104,0.001136263414889151,0.0014246906478642659],[0.00004535363712847542,-0.009937289435690963,0.04496205912659115,-0.024852541867141663,0.08345137498894939,-0.021637639091105235,-0.008484361051801347,0.00084358045464656,0.0001320496152772984],[-0.0009641934188438085,0.006792428809833348,-0.010472538227966306,0.002593588073392894,-0.00816621646408601,0.0011282282975225697,-0.002877640362474673,0.00009099663446255268,0.00009775244962812016],[0.00032651633105860984,-0.0018121492546373861,0.0012842044865591562,-0.000054545350359846794,0.002614481391321419,0.0006375957999633769,-0.002042134402179965,0.00006811074184553468,0.00020057658758469964],[0.000051008781139007546,0.00007752473956194298,0.00011459877550704397,-0.0006314307054529353,-0.000013260270444075736,-0.00016254961512150287,-0.00030048792873241465,0.00005155057477973664,0.000041202708353737974]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.038578749522003374,0.029399847319526475,-0.003596570498834944,-0.0010444738546082277],[-0.00036655416956602593,-0.005236044060238291,0.04263544203078969,-0.027415761519673554,-0.15281542192975756,0.0016207687818983567,0.005181610024071165,-0.00027661509756673683,0.0001153903319508391],[-0.0012108741425998254,0.010319736527209095,-0.021057298112168124,-0.0021448978634237893,-0.008350007040244037,0.0005506079444363115,0.0033878026402280256,0.0004039040865382185,0.00016426494690311192],[0.0005777691927694678,-0.0028640949561424514,0.0015305865067448555,0.008579527996900094,-0.014343349183336771,-0.003865436541350906,0.0028446404744483225,0.00010171358542499171,-0.00010550708091201029],[0.00023429048336281316,-0.0003736464810041801,0.0005359426882500524,0.0002453441070375149,-0.001722676004538232,-0.00011285630588758321,0.0006935237430021537,-0.00009365676645525629,-0.00007241715539796746]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.021500024185789612, -0.053038640027883104, 0.001136263414889151, 0.0014246906478642659 ], [ 0.00004535363712847542, -0.009937289435690963, 0.04496205912659115, -0.024852541867141663, 0.08345137498894939, -0.021637639091105235, -0.008484361051801347, 0.00084358045464656, 0.0001320496152772984 ], [ -0.0009641934188438085, 0.006792428809833348, -0.010472538227966306, 0.002593588073392894, -0.00816621646408601, 0.0011282282975225697, -0.002877640362474673, 0.00009099663446255268, 0.00009775244962812016 ], [ 0.00032651633105860984, -0.0018121492546373861, 0.0012842044865591562, -0.000054545350359846794, 0.002614481391321419, 0.0006375957999633769, -0.002042134402179965, 0.00006811074184553468, 0.00020057658758469964 ], [ 0.000051008781139007546, 0.00007752473956194298, 0.00011459877550704397, -0.0006314307054529353, -0.000013260270444075736, -0.00016254961512150287, -0.00030048792873241465, 0.00005155057477973664, 0.000041202708353737974 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.038578749522003374, 0.029399847319526475, -0.003596570498834944, -0.0010444738546082277 ], [ -0.00036655416956602593, -0.005236044060238291, 0.04263544203078969, -0.027415761519673554, -0.15281542192975756, 0.0016207687818983567, 0.005181610024071165, -0.00027661509756673683, 0.0001153903319508391 ], [ -0.0012108741425998254, 0.010319736527209095, -0.021057298112168124, -0.0021448978634237893, -0.008350007040244037, 0.0005506079444363115, 0.0033878026402280256, 0.0004039040865382185, 0.00016426494690311192 ], [ 0.0005777691927694678, -0.0028640949561424514, 0.0015305865067448555, 0.008579527996900094, -0.014343349183336771, -0.003865436541350906, 0.0028446404744483225, 0.00010171358542499171, -0.00010550708091201029 ], [ 0.00023429048336281316, -0.0003736464810041801, 0.0005359426882500524, 0.0002453441070375149, -0.001722676004538232, -0.00011285630588758321, 0.0006935237430021537, -0.00009365676645525629, -0.00007241715539796746 ] ]

D6FSFYwu6pf9NDxaZbYLBYn

{"aspect_ratio": 10.294619044461092, "major_radius": 1.0, "max_elongation": 4.160957644670098, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.024093406259663597, -0.05590542902530785, 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": [[0.8951554619481956, 0.8951554886680789, 0.8951563595044914, 0.8951623138359024, 0.8951839635413132, 0.8952404292383769, 0.8953605605727247, 0.8955832907858979, 0.8959572164964993, 0.8965395114689934, 0.8973942907482694, 0.8985905435002924, 0.9001997513541261, 0.9022933051332708, 0.9049398272729862, 0.9082025003778409, 0.9121364945727894, 0.9167865777491755, 0.9221849836574368, 0.9283496031681991, 0.935282554005513, 0.9429691739255825, 0.951377471734588, 0.9604580597644661, 0.9701445805039128, 0.9803546290572316, 0.9909911620170039, 1.0019443722274797, 1.0130939978232711, 1.0243120228924245, 1.0354657161761842, 1.0464209434250005, 1.0570456784315414, 1.0672136274133983, 1.0768078713866909, 1.085724421535272, 1.0938755734341774, 1.101192937449386, 1.1076300148610014, 1.1131641824430807, 1.117797942649486, 1.1215592925752853, 1.1245010630258154, 1.1266990801375731, 1.1282490073250537, 1.129261736987272, 1.1298572231742403, 1.1301566857025969, 1.1302731895564313, 1.1303007554405975, 1.1303025593235796], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.41235346270821716}

10.294619

1

4.160958

[ [ 0.8951554619481956, 0.8951554886680789, 0.8951563595044914, 0.8951623138359024, 0.8951839635413132, 0.8952404292383769, 0.8953605605727247, 0.8955832907858979, 0.8959572164964993, 0.8965395114689934, 0.8973942907482694, 0.8985905435002924, 0.9001997513541261, 0.9022933051332708, 0.9049398272729862, 0.9082025003778409, 0.9121364945727894, 0.9167865777491755, 0.9221849836574368, 0.9283496031681991, 0.935282554005513, 0.9429691739255825, 0.951377471734588, 0.9604580597644661, 0.9701445805039128, 0.9803546290572316, 0.9909911620170039, 1.0019443722274797, 1.0130939978232711, 1.0243120228924245, 1.0354657161761842, 1.0464209434250005, 1.0570456784315414, 1.0672136274133983, 1.0768078713866909, 1.085724421535272, 1.0938755734341774, 1.101192937449386, 1.1076300148610014, 1.1131641824430807, 1.117797942649486, 1.1215592925752853, 1.1245010630258154, 1.1266990801375731, 1.1282490073250537, 1.129261736987272, 1.1298572231742403, 1.1301566857025969, 1.1302731895564313, 1.1303007554405975, 1.1303025593235796 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.024093406259663597, -0.05590542902530785, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.412353

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

DJiWNJutKgxhs2WNkxtMGqd

null

false

null

false

DHJ5js5qRPgviXSYqD8rYem

DhJQq7tKPGzEuAw6s7zeWAQ

{"qi": 0.005985244054274174, "vacuum_well": 0.09237226010541194, "aspect_ratio": 9.127707645164731, "max_elongation": 6.857026593700502, "average_triangularity": 0.4144339426773981, "axis_magnetic_mirror_ratio": 0.3782864135158282, "edge_magnetic_mirror_ratio": 0.4177875124355274, "aspect_ratio_over_edge_rotational_transform": 35.0411364991845, "flux_compression_in_regions_of_bad_curvature": 0.761273046056178, "axis_rotational_transform_over_n_field_periods": 0.18912499318605652, "edge_rotational_transform_over_n_field_periods": 0.13024274548539766, "minimum_normalized_magnetic_gradient_scale_length": 3.432251724202573}

9.127708

35.041136

0.601351

0.378286

0.189125

0.417788

0.130243

0.761273

6.857027

3.432252

0.005985

0.092372

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.10653810576451005,-0.0261849375593365,0.0019075630462209864,0.0015724569831029322],[-0.0006787021419268186,0.005277030054395349,0.00579564856385093,0.047272512610745526,0.10316615982980162,-0.04867816629758784,0.002389354010436294,-0.006949989676986163,0.0013582023223428293],[0.0014333064087509431,0.003806373328810381,-0.0027656101722326656,-0.03534122461727947,0.02341946203376427,0.013896434729942645,-0.008228608080384786,-0.0008187261824337414,0.0012711593164042754],[0.000046883907946440584,-0.000981588052366142,-0.0023653704458021893,0.0026514423889012926,0.001636083986085747,0.0017309333270733784,-0.001508885636559433,0.00026986800447739435,0.000021047907691279795],[-0.0000879145231654989,0.00017912826235865831,-0.000375780672703698,-0.001210604396982908,-0.00008409438330324488,0.0004050623408904047,0.00014798511560075575,-0.00007454325993305983,-0.00005987551569379716]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.28059511476183546,-0.011572490032264474,-0.0034660796837608027,-0.0008245022581922622],[0.004088601395583008,0.0031859576191225147,0.027693260493353463,0.06645417675873704,-0.16666819746975126,-0.03140025139470441,0.027848152377794613,-0.004404675284969016,0.0015628171530479163],[0.00005085873167349323,0.00486050209148038,0.003993140725730453,0.012379216908086303,0.009436646324998549,0.0038677689129451203,0.00048052519070189924,-0.0010916924139513788,-0.00035569445061231],[0.000013962407646824096,-0.0009929087308068966,-0.0018727449252643013,-0.004917039249169555,-0.0028745198936039017,-0.000998324278765987,0.000515094431567443,-0.000263842306405547,0.000026589287676276744],[0.00023697256773679693,0.00025114681149523716,0.0005004906765026379,0.00003837643105919516,-0.0006471812919914082,0.0003077589234111932,0.000026197784941256463,0.00020918708637877165,-0.00002906127771202117]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.10653810576451005, -0.0261849375593365, 0.0019075630462209864, 0.0015724569831029322 ], [ -0.0006787021419268186, 0.005277030054395349, 0.00579564856385093, 0.047272512610745526, 0.10316615982980162, -0.04867816629758784, 0.002389354010436294, -0.006949989676986163, 0.0013582023223428293 ], [ 0.0014333064087509431, 0.003806373328810381, -0.0027656101722326656, -0.03534122461727947, 0.02341946203376427, 0.013896434729942645, -0.008228608080384786, -0.0008187261824337414, 0.0012711593164042754 ], [ 0.000046883907946440584, -0.000981588052366142, -0.0023653704458021893, 0.0026514423889012926, 0.001636083986085747, 0.0017309333270733784, -0.001508885636559433, 0.00026986800447739435, 0.000021047907691279795 ], [ -0.0000879145231654989, 0.00017912826235865831, -0.000375780672703698, -0.001210604396982908, -0.00008409438330324488, 0.0004050623408904047, 0.00014798511560075575, -0.00007454325993305983, -0.00005987551569379716 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.28059511476183546, -0.011572490032264474, -0.0034660796837608027, -0.0008245022581922622 ], [ 0.004088601395583008, 0.0031859576191225147, 0.027693260493353463, 0.06645417675873704, -0.16666819746975126, -0.03140025139470441, 0.027848152377794613, -0.004404675284969016, 0.0015628171530479163 ], [ 0.00005085873167349323, 0.00486050209148038, 0.003993140725730453, 0.012379216908086303, 0.009436646324998549, 0.0038677689129451203, 0.00048052519070189924, -0.0010916924139513788, -0.00035569445061231 ], [ 0.000013962407646824096, -0.0009929087308068966, -0.0018727449252643013, -0.004917039249169555, -0.0028745198936039017, -0.000998324278765987, 0.000515094431567443, -0.000263842306405547, 0.000026589287676276744 ], [ 0.00023697256773679693, 0.00025114681149523716, 0.0005004906765026379, 0.00003837643105919516, -0.0006471812919914082, 0.0003077589234111932, 0.000026197784941256463, 0.00020918708637877165, -0.00002906127771202117 ] ]

DBPB8Tx9DfamzEwJqR7bso7

{"aspect_ratio": 11.87028283818632, "major_radius": 1.0, "max_elongation": 6.407234600795514, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.16319666355666954, -0.30000608607946405, 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": [[0.7035072443806534, 0.7035072493023945, 0.7035075298074907, 0.7035102431701141, 0.7035228899388457, 0.7035628424456679, 0.7036621508340868, 0.7038720112871656, 0.7042664284655725, 0.7049447309713784, 0.7060327101309504, 0.7076822510110775, 0.7100694117576754, 0.7133909839796987, 0.717859633619827, 0.723697779021592, 0.7311304110794776, 0.7403770997345198, 0.751643461895734, 0.7651123883361294, 0.7809353414156341, 0.7992240417887804, 0.8200428607166382, 0.8434022253655495, 0.8692533276792294, 0.8974844031922276, 0.9279188146473217, 0.9603151366244583, 0.9943693917256952, 1.0297195363369642, 1.065952234760596, 1.1026118947523968, 1.1392118653908256, 1.1752476199630681, 1.2102116624129096, 1.243609806136707, 1.274978378867353, 1.3039018074537205, 1.3300299320245057, 1.3530942909586081, 1.3729225071073143, 1.3894497929635126, 1.4027264795496688, 1.4129203630469807, 1.420312558233885, 1.4252854545717422, 1.4283012997253763, 1.4298699067301117, 1.4305040397918156, 1.4306613004197448, 1.4306722744766134], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4054874164668215}

11.870283

1

6.407235

[ [ 0.7035072443806534, 0.7035072493023945, 0.7035075298074907, 0.7035102431701141, 0.7035228899388457, 0.7035628424456679, 0.7036621508340868, 0.7038720112871656, 0.7042664284655725, 0.7049447309713784, 0.7060327101309504, 0.7076822510110775, 0.7100694117576754, 0.7133909839796987, 0.717859633619827, 0.723697779021592, 0.7311304110794776, 0.7403770997345198, 0.751643461895734, 0.7651123883361294, 0.7809353414156341, 0.7992240417887804, 0.8200428607166382, 0.8434022253655495, 0.8692533276792294, 0.8974844031922276, 0.9279188146473217, 0.9603151366244583, 0.9943693917256952, 1.0297195363369642, 1.065952234760596, 1.1026118947523968, 1.1392118653908256, 1.1752476199630681, 1.2102116624129096, 1.243609806136707, 1.274978378867353, 1.3039018074537205, 1.3300299320245057, 1.3530942909586081, 1.3729225071073143, 1.3894497929635126, 1.4027264795496688, 1.4129203630469807, 1.420312558233885, 1.4252854545717422, 1.4283012997253763, 1.4298699067301117, 1.4305040397918156, 1.4306613004197448, 1.4306722744766134 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.16319666355666954, -0.30000608607946405, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.405487

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

DFbpGfsArh97SGD5XhgiB4K

null

false

null

false

DDYjFEvzzyuEzHy7XiteFuu

DGSST4y4FMxTkPPFSn2JF5q

{"qi": 0.024651240581151628, "vacuum_well": -0.15383446592673938, "aspect_ratio": 10.140533624454983, "max_elongation": 4.512958109442137, "average_triangularity": -0.5295046953710332, "axis_magnetic_mirror_ratio": 0.16173144619962024, "edge_magnetic_mirror_ratio": 0.19552660445735467, "aspect_ratio_over_edge_rotational_transform": 18.56173809546182, "flux_compression_in_regions_of_bad_curvature": 1.146319444314659, "axis_rotational_transform_over_n_field_periods": 0.10267417589025087, "edge_rotational_transform_over_n_field_periods": 0.1365784493389422, "minimum_normalized_magnetic_gradient_scale_length": 8.37363761337293}

10.140534

18.561738

-0.910096

0.161731

0.102674

0.195527

0.136578

1.146319

4.512958

8.373638

0.024651

-0.153834

{"r_cos":[[0.0,0.0,0.0,0.0,0.9869532442289338,0.05961705607747206,0.0007177382073390421,-0.001348901204425355,-0.00044219306216451964],[-0.00046322102549672993,0.0012135162225830555,0.014936661334144256,-0.08030286921316765,0.062050355360543194,0.0437771515303383,0.011983998336305453,0.00153894185731217,-0.00008845329151204308],[-0.00007957254385220135,0.001882350134499416,-0.0049313869033168105,-0.0026979855316964295,-0.013381042720386505,-0.0031307195465251395,-0.001408005533397706,-0.000563033243126738,-0.00027672311469775394],[0.0003347189643637295,-0.0017427040689476526,0.0026979802987041114,0.0005010663686122849,0.0014956106979580304,0.0014648239977178533,-0.000011955144040965478,-0.0002988100678680863,-0.00011436137209369667],[-0.00011448620795854184,0.0002500437424844478,0.00014251282104617584,-0.0005976489603060511,0.00032427566114525937,-0.00007721238513264442,-0.00005349599616338365,-9.80844369803976e-6,-0.000017309308233401388]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.063524917102992,-0.002330031182485459,0.0005096196950516631,-0.00003936929196483515],[0.00031856915606828275,-0.00257005514849755,0.01580798173289911,-0.0005610581052718916,-0.14470043786839368,-0.032014301634989986,-0.005356604612891624,0.00037468022477769175,0.0001256018336553378],[-0.0003678601624168381,0.004139743689249177,-0.01582485991272264,0.022269036068657454,-0.013710884088183913,-0.01321037644279878,-0.0037852571725173973,-0.00011624522205550339,4.2129585914422465e-6],[-0.00021925469945905567,0.0009632443424014998,-0.00401014298224248,0.008878759488396011,0.003613022100441055,-0.0013210823137662035,-0.0007302897458731417,0.00012809065692150388,2.4964344489792175e-6],[-0.000222664987470448,0.0008934174019080013,-0.0006871366425005306,-0.000936913063214119,-0.00010270625455537313,-0.0001951474642067265,-0.0002001656418771292,0.000056772833096182336,0.000027405729788683463]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9869532442289338, 0.05961705607747206, 0.0007177382073390421, -0.001348901204425355, -0.00044219306216451964 ], [ -0.00046322102549672993, 0.0012135162225830555, 0.014936661334144256, -0.08030286921316765, 0.062050355360543194, 0.0437771515303383, 0.011983998336305453, 0.00153894185731217, -0.00008845329151204308 ], [ -0.00007957254385220135, 0.001882350134499416, -0.0049313869033168105, -0.0026979855316964295, -0.013381042720386505, -0.0031307195465251395, -0.001408005533397706, -0.000563033243126738, -0.00027672311469775394 ], [ 0.0003347189643637295, -0.0017427040689476526, 0.0026979802987041114, 0.0005010663686122849, 0.0014956106979580304, 0.0014648239977178533, -0.000011955144040965478, -0.0002988100678680863, -0.00011436137209369667 ], [ -0.00011448620795854184, 0.0002500437424844478, 0.00014251282104617584, -0.0005976489603060511, 0.00032427566114525937, -0.00007721238513264442, -0.00005349599616338365, -0.00000980844369803976, -0.000017309308233401388 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.063524917102992, -0.002330031182485459, 0.0005096196950516631, -0.00003936929196483515 ], [ 0.00031856915606828275, -0.00257005514849755, 0.01580798173289911, -0.0005610581052718916, -0.14470043786839368, -0.032014301634989986, -0.005356604612891624, 0.00037468022477769175, 0.0001256018336553378 ], [ -0.0003678601624168381, 0.004139743689249177, -0.01582485991272264, 0.022269036068657454, -0.013710884088183913, -0.01321037644279878, -0.0037852571725173973, -0.00011624522205550339, 0.0000042129585914422465 ], [ -0.00021925469945905567, 0.0009632443424014998, -0.00401014298224248, 0.008878759488396011, 0.003613022100441055, -0.0013210823137662035, -0.0007302897458731417, 0.00012809065692150388, 0.0000024964344489792175 ], [ -0.000222664987470448, 0.0008934174019080013, -0.0006871366425005306, -0.000936913063214119, -0.00010270625455537313, -0.0001951474642067265, -0.0002001656418771292, 0.000056772833096182336, 0.000027405729788683463 ] ]

DFCV97Vm5QBoPqfRu22qznY

{"aspect_ratio": 11.960621178517457, "major_radius": 1.0, "max_elongation": 4.245814669052839, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.10806547488786275, -0.3120219716035676, 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": [[0.922407201605645, 0.922407201850174, 0.922407216652102, 0.9224073672468229, 0.9224081027407512, 0.922410532640065, 0.9224168426715788, 0.9224307671308466, 0.922458092455501, 0.9225071680877, 0.9225894020241652, 0.9227197197866857, 0.9229169668986232, 0.9232042363370055, 0.9236091038559064, 0.9241637555547123, 0.9249049936041307, 0.9258741076534235, 0.9271166011352399, 0.9286817634717784, 0.9306220810817947, 0.9329924821084045, 0.9358494119518435, 0.9392497390220816, 0.9432494926508926, 0.9479024378549556, 0.9532584946617835, 0.9593620130495221, 0.9662499182736947, 0.9739497455396025, 0.9824775877321366, 0.9918359853702026, 1.0020117942888411, 1.012974074006898, 1.024672048636404, 1.0370332029819824, 1.0499615898018093, 1.0633364409784443, 1.0770111969476384, 1.0908130972480794, 1.1045435137862571, 1.1179792627665115, 1.1308752104715039, 1.1429686088661077, 1.1539857912972635, 1.1636521924882877, 1.1717072812480496, 1.1779272991133705, 1.1821618949210178, 1.1844008468394092, 1.1849441206123528], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4920069771139721}

11.960621

1

4.245815

[ [ 0.922407201605645, 0.922407201850174, 0.922407216652102, 0.9224073672468229, 0.9224081027407512, 0.922410532640065, 0.9224168426715788, 0.9224307671308466, 0.922458092455501, 0.9225071680877, 0.9225894020241652, 0.9227197197866857, 0.9229169668986232, 0.9232042363370055, 0.9236091038559064, 0.9241637555547123, 0.9249049936041307, 0.9258741076534235, 0.9271166011352399, 0.9286817634717784, 0.9306220810817947, 0.9329924821084045, 0.9358494119518435, 0.9392497390220816, 0.9432494926508926, 0.9479024378549556, 0.9532584946617835, 0.9593620130495221, 0.9662499182736947, 0.9739497455396025, 0.9824775877321366, 0.9918359853702026, 1.0020117942888411, 1.012974074006898, 1.024672048636404, 1.0370332029819824, 1.0499615898018093, 1.0633364409784443, 1.0770111969476384, 1.0908130972480794, 1.1045435137862571, 1.1179792627665115, 1.1308752104715039, 1.1429686088661077, 1.1539857912972635, 1.1636521924882877, 1.1717072812480496, 1.1779272991133705, 1.1821618949210178, 1.1844008468394092, 1.1849441206123528 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.10806547488786275, -0.3120219716035676, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.492007

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

DCFnMgsqnHK6Xvtrc7Jjcaz

null

false

null

false

D3s23XrUnmS5SDVsR3WXNC6

DEDGkdHEsMKdu5g4k3XvZu2

{"qi": 0.013117923459527725, "vacuum_well": -0.16245821574707006, "aspect_ratio": 10.081418580255164, "max_elongation": 6.027251137581211, "average_triangularity": -0.11351922428711014, "axis_magnetic_mirror_ratio": 0.20485305132973033, "edge_magnetic_mirror_ratio": 0.3026859085388713, "aspect_ratio_over_edge_rotational_transform": 9.093477108208159, "flux_compression_in_regions_of_bad_curvature": 1.6651433433548737, "axis_rotational_transform_over_n_field_periods": 0.24287793274562403, "edge_rotational_transform_over_n_field_periods": 0.22172857445597455, "minimum_normalized_magnetic_gradient_scale_length": 11.096510270686242}

10.081419

9.093477

-0.089052

0.204853

0.242878

0.302686

0.221729

1.665143

6.027251

11.09651

0.013118

-0.162458

{"r_cos":[[0.0,0.0,0.0,0.0,0.9985891948884187,0.01195390141113274,-0.004680963404868525,0.0010773668344465689,0.00017197775495334487],[0.00011715011744335715,-0.0011349793214296962,0.0025375935266203666,-0.07669975891526731,0.12226960330523444,-0.004780842834872595,-0.0026822933275093223,0.0004013326290732544,0.00021505001013242742],[0.0003314607887442072,0.0004053644623251683,-0.002837885371187298,0.02281287197575363,-0.014029572682430451,0.007669585428529626,-0.0020309157068200013,0.00028546565498317706,0.00005477221892635282],[-0.00007509258558297,0.00017423621952676005,0.0012743414470415579,-0.004278691263828428,0.004941991088908079,-0.001397083270684299,-0.00048791156906766826,0.00024363478108546224,-6.349718524575047e-6],[-1.6931585336563493e-6,-0.00018871116557360196,-0.000482503258889652,0.0002813961052859585,-0.00003470341557500721,-0.00006848679829983724,-0.000022441392687244074,0.00007014170722075604,-0.000012612907477244995]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04375453042481134,0.005117323507260944,-0.0009362613856044831,0.00005642114454552234],[-0.00009310365354493104,-0.0017342457108093367,0.0020675723482360673,-0.07812180370462728,-0.14409544492970586,0.021319505967164098,0.0014924493185326103,-0.0006164214250226894,-0.000035232375261883285],[0.0001366368232037056,0.0007573897663454938,-0.00290525594762027,0.025227104976672014,-0.01909106879231719,0.0005136756932161337,0.0015632310747945382,-0.0003902047816926277,-0.000016772617250556224],[-0.00029108715282706056,0.0007790704148479977,-0.00004203630779817516,0.004683699650571503,-0.007131470234081851,0.0022450573192811484,-0.00025849881938230665,-0.00003845474817706576,0.00001302431400839317],[-0.0001382227409888004,0.00010372622318543121,0.00020622175812792847,0.0003896050425276523,-0.0003095294416640526,0.0001490833182685911,-0.0002387271406939858,0.00002064383184996454,0.000019603323741230853]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9985891948884187, 0.01195390141113274, -0.004680963404868525, 0.0010773668344465689, 0.00017197775495334487 ], [ 0.00011715011744335715, -0.0011349793214296962, 0.0025375935266203666, -0.07669975891526731, 0.12226960330523444, -0.004780842834872595, -0.0026822933275093223, 0.0004013326290732544, 0.00021505001013242742 ], [ 0.0003314607887442072, 0.0004053644623251683, -0.002837885371187298, 0.02281287197575363, -0.014029572682430451, 0.007669585428529626, -0.0020309157068200013, 0.00028546565498317706, 0.00005477221892635282 ], [ -0.00007509258558297, 0.00017423621952676005, 0.0012743414470415579, -0.004278691263828428, 0.004941991088908079, -0.001397083270684299, -0.00048791156906766826, 0.00024363478108546224, -0.000006349718524575047 ], [ -0.0000016931585336563493, -0.00018871116557360196, -0.000482503258889652, 0.0002813961052859585, -0.00003470341557500721, -0.00006848679829983724, -0.000022441392687244074, 0.00007014170722075604, -0.000012612907477244995 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04375453042481134, 0.005117323507260944, -0.0009362613856044831, 0.00005642114454552234 ], [ -0.00009310365354493104, -0.0017342457108093367, 0.0020675723482360673, -0.07812180370462728, -0.14409544492970586, 0.021319505967164098, 0.0014924493185326103, -0.0006164214250226894, -0.000035232375261883285 ], [ 0.0001366368232037056, 0.0007573897663454938, -0.00290525594762027, 0.025227104976672014, -0.01909106879231719, 0.0005136756932161337, 0.0015632310747945382, -0.0003902047816926277, -0.000016772617250556224 ], [ -0.00029108715282706056, 0.0007790704148479977, -0.00004203630779817516, 0.004683699650571503, -0.007131470234081851, 0.0022450573192811484, -0.00025849881938230665, -0.00003845474817706576, 0.00001302431400839317 ], [ -0.0001382227409888004, 0.00010372622318543121, 0.00020622175812792847, 0.0003896050425276523, -0.0003095294416640526, 0.0001490833182685911, -0.0002387271406939858, 0.00002064383184996454, 0.000019603323741230853 ] ]

DD6anyDiaZawLsEGyRsjbwU

{"aspect_ratio": 11.249343220460453, "major_radius": 1.0, "max_elongation": 5.1621048454091, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05113064541335728, -0.16854074077900413, 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": [[0.7905737790999776, 0.790573801981322, 0.7905748287738298, 0.7905833152791368, 0.7906183909373099, 0.7907187664412142, 0.7909478315793255, 0.7913962963654887, 0.7921821925467178, 0.7934483434924738, 0.7953575990315312, 0.7980862509466563, 0.8018161134064966, 0.8067257828451754, 0.8129815923606671, 0.8207287531309801, 0.8300831348106139, 0.8411240826022703, 0.8538886042646444, 0.868367188781517, 0.8845014424602085, 0.9021836502218857, 0.9212582919145745, 0.9415254675339908, 0.9627461130089923, 0.9846488212709176, 1.006938023110963, 1.029303230139404, 1.0514289991764918, 1.0730052446942184, 1.093737504446309, 1.1133567540158524, 1.1316283694090945, 1.1483598536474433, 1.163406974052316, 1.1766780019405734, 1.18813580596548, 1.1977976243940567, 1.2057324300532262, 1.2120559041127037, 1.216923150614098, 1.2205194116345635, 1.2230491816139244, 1.2247242663978577, 1.2257514846561528, 1.2263208616558474, 1.2265953104631089, 1.2267029214844631, 1.2267330666566736, 1.2267375269822804, 1.2267376635949758], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.2967431709097665}

11.249343

1

5.162105

[ [ 0.7905737790999776, 0.790573801981322, 0.7905748287738298, 0.7905833152791368, 0.7906183909373099, 0.7907187664412142, 0.7909478315793255, 0.7913962963654887, 0.7921821925467178, 0.7934483434924738, 0.7953575990315312, 0.7980862509466563, 0.8018161134064966, 0.8067257828451754, 0.8129815923606671, 0.8207287531309801, 0.8300831348106139, 0.8411240826022703, 0.8538886042646444, 0.868367188781517, 0.8845014424602085, 0.9021836502218857, 0.9212582919145745, 0.9415254675339908, 0.9627461130089923, 0.9846488212709176, 1.006938023110963, 1.029303230139404, 1.0514289991764918, 1.0730052446942184, 1.093737504446309, 1.1133567540158524, 1.1316283694090945, 1.1483598536474433, 1.163406974052316, 1.1766780019405734, 1.18813580596548, 1.1977976243940567, 1.2057324300532262, 1.2120559041127037, 1.216923150614098, 1.2205194116345635, 1.2230491816139244, 1.2247242663978577, 1.2257514846561528, 1.2263208616558474, 1.2265953104631089, 1.2267029214844631, 1.2267330666566736, 1.2267375269822804, 1.2267376635949758 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05113064541335728, -0.16854074077900413, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.296743

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

D42hZPEFzcvaTWNLovGwwNf

null

false

null

false

DjNPnRSNtvhiVXubU7c2mvq

DHx5FyaU4pm5cTLq6Sv9jKY

{"qi": 0.02608107858012157, "vacuum_well": -0.11117748802343745, "aspect_ratio": 9.86892508793576, "max_elongation": 4.876096913157987, "average_triangularity": -0.5873780112368479, "axis_magnetic_mirror_ratio": 0.17701309931112538, "edge_magnetic_mirror_ratio": 0.2185420555080969, "aspect_ratio_over_edge_rotational_transform": 34.41703833643382, "flux_compression_in_regions_of_bad_curvature": 1.4211127163266042, "axis_rotational_transform_over_n_field_periods": 0.2543839291978139, "edge_rotational_transform_over_n_field_periods": 0.286745332107456, "minimum_normalized_magnetic_gradient_scale_length": 3.3489897275320315}

9.868925

34.417038

-0.828001

0.177013

0.254384

0.218542

0.286745

1.421113

4.876097

3.34899

0.026081

-0.111177

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.014741955933058569,-0.22894629466759486,-0.0013316809661847364,0.012010492897652464],[-0.0003079370867815635,-0.012627681279276711,0.04384334679044101,-0.010598260279118372,0.08319165557884647,-0.020340376543871032,-0.0027698534555593395,0.001953868591141281,0.00015208032982608232],[-0.0026267026742705308,0.005274087854452488,0.0010695469338827773,-0.01350649346340055,-0.021503514344884716,-0.00016414811815724205,0.00001884642569160164,0.0007442094413315711,0.0005874528457244608],[0.0011312146558745402,-0.0036091193159239927,0.000757610018035898,0.001906707251114393,0.0007066537827306472,-0.00212666006495235,-0.0017294333509617543,0.0002484737014468916,0.00011801830224589303],[-0.00008513512047867134,0.0001722918811648765,-0.00015026828546046332,-0.00020506167084028293,0.00003316913235530249,0.000042529228321140124,-0.00003830450906776177,-5.346773301626983e-6,-0.000034801872871015546]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04909205791437137,0.09260962854780849,-0.015175469565179074,-0.009086856719026298],[0.006493988022659674,-0.014471025783274413,0.05885553072159257,-0.018425996919403914,-0.15408741963885916,0.015413828212033118,-0.005597144672534731,-0.0004258058712564442,0.0008572118958066221],[-0.0006388924166439136,0.004654525857192978,-0.017840372061061843,0.006173255274865038,-0.005326110113299766,-0.0026355248117694405,0.0003048869042946139,0.000017737648890032726,-0.00004091014625932693],[-0.000320708630340652,0.001308085705948119,-0.0026121948832606864,0.00439104481252562,-0.005037960325935544,0.0009139924820727413,0.0006871990029969011,-0.00023989362603500728,0.00006869472561693725],[-0.00009896676934341352,0.00012423810775106375,0.00010308380252274315,-0.00029624115435663396,0.000141312742813086,0.000254513498918436,-0.00003256518554431789,-0.000021899648380061272,0.000021799363319920026]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.014741955933058569, -0.22894629466759486, -0.0013316809661847364, 0.012010492897652464 ], [ -0.0003079370867815635, -0.012627681279276711, 0.04384334679044101, -0.010598260279118372, 0.08319165557884647, -0.020340376543871032, -0.0027698534555593395, 0.001953868591141281, 0.00015208032982608232 ], [ -0.0026267026742705308, 0.005274087854452488, 0.0010695469338827773, -0.01350649346340055, -0.021503514344884716, -0.00016414811815724205, 0.00001884642569160164, 0.0007442094413315711, 0.0005874528457244608 ], [ 0.0011312146558745402, -0.0036091193159239927, 0.000757610018035898, 0.001906707251114393, 0.0007066537827306472, -0.00212666006495235, -0.0017294333509617543, 0.0002484737014468916, 0.00011801830224589303 ], [ -0.00008513512047867134, 0.0001722918811648765, -0.00015026828546046332, -0.00020506167084028293, 0.00003316913235530249, 0.000042529228321140124, -0.00003830450906776177, -0.000005346773301626983, -0.000034801872871015546 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04909205791437137, 0.09260962854780849, -0.015175469565179074, -0.009086856719026298 ], [ 0.006493988022659674, -0.014471025783274413, 0.05885553072159257, -0.018425996919403914, -0.15408741963885916, 0.015413828212033118, -0.005597144672534731, -0.0004258058712564442, 0.0008572118958066221 ], [ -0.0006388924166439136, 0.004654525857192978, -0.017840372061061843, 0.006173255274865038, -0.005326110113299766, -0.0026355248117694405, 0.0003048869042946139, 0.000017737648890032726, -0.00004091014625932693 ], [ -0.000320708630340652, 0.001308085705948119, -0.0026121948832606864, 0.00439104481252562, -0.005037960325935544, 0.0009139924820727413, 0.0006871990029969011, -0.00023989362603500728, 0.00006869472561693725 ], [ -0.00009896676934341352, 0.00012423810775106375, 0.00010308380252274315, -0.00029624115435663396, 0.000141312742813086, 0.000254513498918436, -0.00003256518554431789, -0.000021899648380061272, 0.000021799363319920026 ] ]

DXKjkKpm9Jogz4mqzES5oBg

{"aspect_ratio": 10.929227108789043, "major_radius": 1.0, "max_elongation": 4.566121583523424, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.049172395226788436, -0.0179418174236434, 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": [[0.841536874473754, 0.8415369132660108, 0.8415384557589645, 0.8415502398793965, 0.8415961477953211, 0.8417213713892358, 0.8419956936285282, 0.8425137182458079, 0.8433923090393979, 0.8447657168434133, 0.8467789751168862, 0.849580177957071, 0.8533122412942873, 0.858104704172782, 0.864066062634016, 0.8712770512019361, 0.8797852018920228, 0.8896009223376748, 0.9006952464537294, 0.9129993257614304, 0.9264056492739624, 0.940770906449901, 0.955920342570656, 0.9716534000910866, 0.987750393889395, 1.0039799335071513, 1.0201067818128569, 1.0358998272347317, 1.0511398457956669, 1.065626739471834, 1.079185958538285, 1.0916738470391985, 1.102981691632508, 1.113038303935583, 1.1218110240820087, 1.129305097234177, 1.1355614438147248, 1.1406529165201023, 1.1446792107964112, 1.1477606681222259, 1.1500312805275974, 1.1516312672185525, 1.1526996463597179, 1.1533672626674945, 1.153750749184606, 1.1539478927566074, 1.1540348285116142, 1.1540653967827672, 1.1540728378192262, 1.1540737434595356, 1.1540737637581477], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.28117260778944053}

10.929227

1

4.566122

[ [ 0.841536874473754, 0.8415369132660108, 0.8415384557589645, 0.8415502398793965, 0.8415961477953211, 0.8417213713892358, 0.8419956936285282, 0.8425137182458079, 0.8433923090393979, 0.8447657168434133, 0.8467789751168862, 0.849580177957071, 0.8533122412942873, 0.858104704172782, 0.864066062634016, 0.8712770512019361, 0.8797852018920228, 0.8896009223376748, 0.9006952464537294, 0.9129993257614304, 0.9264056492739624, 0.940770906449901, 0.955920342570656, 0.9716534000910866, 0.987750393889395, 1.0039799335071513, 1.0201067818128569, 1.0358998272347317, 1.0511398457956669, 1.065626739471834, 1.079185958538285, 1.0916738470391985, 1.102981691632508, 1.113038303935583, 1.1218110240820087, 1.129305097234177, 1.1355614438147248, 1.1406529165201023, 1.1446792107964112, 1.1477606681222259, 1.1500312805275974, 1.1516312672185525, 1.1526996463597179, 1.1533672626674945, 1.153750749184606, 1.1539478927566074, 1.1540348285116142, 1.1540653967827672, 1.1540728378192262, 1.1540737434595356, 1.1540737637581477 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.049172395226788436, -0.0179418174236434, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.281173

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

DFCKxd6q3jRJ7pdburh98rb

null

false

null

false

DN2Tfn8aMNs9RSvSmpCHzAC

D7d6bGZWyWxhNXWQSRbG9G5

{"qi": 0.04096852960573845, "vacuum_well": -0.10431586908859741, "aspect_ratio": 9.98033617016827, "max_elongation": 4.81147970411718, "average_triangularity": -0.36102440940744407, "axis_magnetic_mirror_ratio": 0.22882022550374745, "edge_magnetic_mirror_ratio": 0.36535692586310525, "aspect_ratio_over_edge_rotational_transform": 10.12016417665012, "flux_compression_in_regions_of_bad_curvature": 1.0092439338523844, "axis_rotational_transform_over_n_field_periods": 0.22953700518838116, "edge_rotational_transform_over_n_field_periods": 0.1972366454922842, "minimum_normalized_magnetic_gradient_scale_length": 6.041391692872794}

9.980336

10.120164

-0.560048

0.22882

0.229537

0.365357

0.197237

1.009244

4.81148

6.041392

0.040969

-0.104316

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.017554834200480686,-0.0072861834452600995,0.00024289682003085075,0.0004555621994476178],[0.0009714501296273738,0.004254939091326305,0.01962361833345741,0.05624454652674287,0.08310754098148454,-0.029343585443102886,0.0016218671248817984,-0.0007420768170542133,0.00004375071152124194],[-0.0005015912434477189,-0.0013861570161838744,-0.022572278162646398,-0.00795255931253029,0.008291853425828524,-0.002097269902362828,-0.0011389075784380958,0.00010507952520216756,0.00003971274789280521],[-0.0008496504404926523,-0.0006164763278733342,0.008592576228525124,0.00015766819768261672,-0.001797789092040116,0.0011365020206683502,-0.0007388757728503045,0.00018357730676837655,0.000011774217815381223],[0.000100407784450242,0.00011513497639206801,-0.0002482025521542632,0.00038866298320097123,-0.0008052917227059078,0.00015577670565863937,-0.00028024975360469443,0.0001238402487518654,-0.000010419129396922657]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.04036156788123072,0.0017408405529328016,-0.00041002045562668274,-0.00022781970597841872],[0.0009400784692470835,0.004692341245933532,0.0238550938281658,0.023905873119303856,-0.14879493376590572,0.017705392189239038,0.004408592643617424,0.00020021487049406116,5.201696277089675e-6],[-0.00009650350596373789,-0.0016151972848650253,-0.019639684179487353,-0.0008449494393031728,-0.005437387832321241,0.0038228273682123478,0.00022565609915778904,0.00021143534753379932,-0.000036828353246883615],[-0.0007190021150783539,-0.0031105443496784865,0.00029886529638712225,-0.0005134576000064692,-0.0008816161814602482,0.00028283236674528947,0.0007052411956054935,-0.0001442666777194282,-0.00006483426929241698],[0.0002424876601027845,0.0006246084226379034,-0.0015426007058972138,0.0008599658553416671,0.00032485642570986915,-0.00012959231473752114,0.00014484709680080037,-0.0000762846759656787,6.729988468369245e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.017554834200480686, -0.0072861834452600995, 0.00024289682003085075, 0.0004555621994476178 ], [ 0.0009714501296273738, 0.004254939091326305, 0.01962361833345741, 0.05624454652674287, 0.08310754098148454, -0.029343585443102886, 0.0016218671248817984, -0.0007420768170542133, 0.00004375071152124194 ], [ -0.0005015912434477189, -0.0013861570161838744, -0.022572278162646398, -0.00795255931253029, 0.008291853425828524, -0.002097269902362828, -0.0011389075784380958, 0.00010507952520216756, 0.00003971274789280521 ], [ -0.0008496504404926523, -0.0006164763278733342, 0.008592576228525124, 0.00015766819768261672, -0.001797789092040116, 0.0011365020206683502, -0.0007388757728503045, 0.00018357730676837655, 0.000011774217815381223 ], [ 0.000100407784450242, 0.00011513497639206801, -0.0002482025521542632, 0.00038866298320097123, -0.0008052917227059078, 0.00015577670565863937, -0.00028024975360469443, 0.0001238402487518654, -0.000010419129396922657 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.04036156788123072, 0.0017408405529328016, -0.00041002045562668274, -0.00022781970597841872 ], [ 0.0009400784692470835, 0.004692341245933532, 0.0238550938281658, 0.023905873119303856, -0.14879493376590572, 0.017705392189239038, 0.004408592643617424, 0.00020021487049406116, 0.000005201696277089675 ], [ -0.00009650350596373789, -0.0016151972848650253, -0.019639684179487353, -0.0008449494393031728, -0.005437387832321241, 0.0038228273682123478, 0.00022565609915778904, 0.00021143534753379932, -0.000036828353246883615 ], [ -0.0007190021150783539, -0.0031105443496784865, 0.00029886529638712225, -0.0005134576000064692, -0.0008816161814602482, 0.00028283236674528947, 0.0007052411956054935, -0.0001442666777194282, -0.00006483426929241698 ], [ 0.0002424876601027845, 0.0006246084226379034, -0.0015426007058972138, 0.0008599658553416671, 0.00032485642570986915, -0.00012959231473752114, 0.00014484709680080037, -0.0000762846759656787, 0.000006729988468369245 ] ]

DJhLWSrPDcTiqM7Td6h5Va7

{"aspect_ratio": 9.381631741143845, "major_radius": 1.0, "max_elongation": 4.6340936489757905, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.04449271853889696, -0.08922165106016673, 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": [[0.8459782770757243, 0.8459784533413629, 0.8459825987237443, 0.8460057374845891, 0.846078610955555, 0.8462488783904899, 0.8465803622118212, 0.8471509930406672, 0.8480498812587921, 0.8493738289866283, 0.8512235270908904, 0.8536996337552072, 0.8568988949782992, 0.8609104385798088, 0.8658123494277302, 0.8716686131967053, 0.8785264981076103, 0.8864144281813108, 0.8953403871477994, 0.9052908789912629, 0.9162304589668249, 0.9281018376353762, 0.940826549907224, 0.9543061711694925, 0.9684240532234325, 0.9830475439190988, 0.9980306460018893, 1.013217062743986, 1.0284435703980461, 1.0435436503622562, 1.058351307173487, 1.0727049920436789, 1.0864515456252433, 1.0994500680428612, 1.1115756189783599, 1.122722645769017, 1.1328080331166586, 1.1417736641606444, 1.1495883794197241, 1.1562492175647772, 1.1617818203013655, 1.1662398830422003, 1.169703533869212, 1.1722765260379924, 1.1740821347938644, 1.1752576589612362, 1.1759474442161142, 1.176294373324343, 1.1764298206920654, 1.176462176808039, 1.176464340805491], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.020770607959169}

9.381632

1

4.634094

[ [ 0.8459782770757243, 0.8459784533413629, 0.8459825987237443, 0.8460057374845891, 0.846078610955555, 0.8462488783904899, 0.8465803622118212, 0.8471509930406672, 0.8480498812587921, 0.8493738289866283, 0.8512235270908904, 0.8536996337552072, 0.8568988949782992, 0.8609104385798088, 0.8658123494277302, 0.8716686131967053, 0.8785264981076103, 0.8864144281813108, 0.8953403871477994, 0.9052908789912629, 0.9162304589668249, 0.9281018376353762, 0.940826549907224, 0.9543061711694925, 0.9684240532234325, 0.9830475439190988, 0.9980306460018893, 1.013217062743986, 1.0284435703980461, 1.0435436503622562, 1.058351307173487, 1.0727049920436789, 1.0864515456252433, 1.0994500680428612, 1.1115756189783599, 1.122722645769017, 1.1328080331166586, 1.1417736641606444, 1.1495883794197241, 1.1562492175647772, 1.1617818203013655, 1.1662398830422003, 1.169703533869212, 1.1722765260379924, 1.1740821347938644, 1.1752576589612362, 1.1759474442161142, 1.176294373324343, 1.1764298206920654, 1.176462176808039, 1.176464340805491 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.04449271853889696, -0.08922165106016673, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.020771

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

D7t7UZ8jttTcFf68v5DSwBq

null

false

null

false

DfBJoShpt2JomkGkC68AGCD

DcbiMx4SNhHqDJhsreDqWbR

{"qi": 0.00251226872102895, "vacuum_well": -0.12944139143664357, "aspect_ratio": 9.579640641039504, "max_elongation": 6.804799335024453, "average_triangularity": -0.4744308291488355, "axis_magnetic_mirror_ratio": 0.33338823345923874, "edge_magnetic_mirror_ratio": 0.38825994259634383, "aspect_ratio_over_edge_rotational_transform": 19.020023903495463, "flux_compression_in_regions_of_bad_curvature": 1.2526463894073079, "axis_rotational_transform_over_n_field_periods": 0.2179964388001257, "edge_rotational_transform_over_n_field_periods": 0.2518304048839543, "minimum_normalized_magnetic_gradient_scale_length": 5.32581310060534}

9.579641

19.020024

-0.585871

0.333388

0.217996

0.38826

0.25183

1.252646

6.804799

5.325813

0.002512

-0.129441

{"r_cos":[[0.0,0.0,0.0,0.0,0.9945507230423098,-0.04986945244556277,-0.08307100831772303,-0.0007272108739605384,0.004128917956153535],[-0.0017842938524913312,-0.0030568819877762297,0.04542817776280163,-0.0412923562507547,0.10875476209643563,-0.009358651816157658,-0.0021979786202952316,0.004546380495502455,0.0006248613417620739],[-0.0009408481408314504,0.006890677757085326,-0.008107492653774744,0.00751054668654557,-0.00390722946075528,0.0012336077273155956,-0.005232472126770747,0.0006779513390899666,0.00003618202960482846],[0.0003929750620318026,0.0002888342319945027,-0.00021244477123844512,0.0014102933923125327,0.003466229035040056,-0.004950160742858593,-0.00039110356173721047,-0.000057218953015023254,0.0000545953263132726],[0.0001620349840386359,-0.00009320050759536852,-0.0007882671577113677,0.0014709537791325847,0.00045579794705475843,-0.0015605868218280712,-1.7402467020949711e-6,0.00008142745756844118,-0.000028544563803489928]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.11989393480150597,0.03323175905853255,0.004547959747238449,-0.002149950215005893],[-0.0040741140823622405,-0.008117203041043165,0.06228179842708446,-0.046637626900664836,-0.14283578187205428,0.07298156471385167,0.007186767181775654,-0.00886006754015729,0.00038063157482489643],[-0.0024755600672860998,0.006730943645180095,-0.0005333564466094747,-0.003864565184033038,-0.03265013515276185,0.011490611531899179,0.00894158286076301,-0.0034165629304641447,-0.00020242389598098143],[0.0003544068421320196,-0.00012805134457722261,-0.000710456453844862,0.0033219898462188164,-0.00618073033699776,0.005547068791203301,0.0012480144645025954,-0.0008887005758393173,-0.00017170490162075886],[0.00042124785010755496,-0.0004347912240870627,-0.0003488833825940817,0.0007780499262443096,0.001979056259798312,0.0016831469603480179,-0.000045763764353939505,-0.0001948362484882287,0.000029344853409550868]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9945507230423098, -0.04986945244556277, -0.08307100831772303, -0.0007272108739605384, 0.004128917956153535 ], [ -0.0017842938524913312, -0.0030568819877762297, 0.04542817776280163, -0.0412923562507547, 0.10875476209643563, -0.009358651816157658, -0.0021979786202952316, 0.004546380495502455, 0.0006248613417620739 ], [ -0.0009408481408314504, 0.006890677757085326, -0.008107492653774744, 0.00751054668654557, -0.00390722946075528, 0.0012336077273155956, -0.005232472126770747, 0.0006779513390899666, 0.00003618202960482846 ], [ 0.0003929750620318026, 0.0002888342319945027, -0.00021244477123844512, 0.0014102933923125327, 0.003466229035040056, -0.004950160742858593, -0.00039110356173721047, -0.000057218953015023254, 0.0000545953263132726 ], [ 0.0001620349840386359, -0.00009320050759536852, -0.0007882671577113677, 0.0014709537791325847, 0.00045579794705475843, -0.0015605868218280712, -0.0000017402467020949711, 0.00008142745756844118, -0.000028544563803489928 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.11989393480150597, 0.03323175905853255, 0.004547959747238449, -0.002149950215005893 ], [ -0.0040741140823622405, -0.008117203041043165, 0.06228179842708446, -0.046637626900664836, -0.14283578187205428, 0.07298156471385167, 0.007186767181775654, -0.00886006754015729, 0.00038063157482489643 ], [ -0.0024755600672860998, 0.006730943645180095, -0.0005333564466094747, -0.003864565184033038, -0.03265013515276185, 0.011490611531899179, 0.00894158286076301, -0.0034165629304641447, -0.00020242389598098143 ], [ 0.0003544068421320196, -0.00012805134457722261, -0.000710456453844862, 0.0033219898462188164, -0.00618073033699776, 0.005547068791203301, 0.0012480144645025954, -0.0008887005758393173, -0.00017170490162075886 ], [ 0.00042124785010755496, -0.0004347912240870627, -0.0003488833825940817, 0.0007780499262443096, 0.001979056259798312, 0.0016831469603480179, -0.000045763764353939505, -0.0001948362484882287, 0.000029344853409550868 ] ]

DhXAtKHFTVu9qiPrXKdsQP8

{"aspect_ratio": 11.166376879009531, "major_radius": 1.0, "max_elongation": 6.579120677155814, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.13522541089682344, -0.1929743338079373, 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": [[0.6827865944705991, 0.6827866107552115, 0.6827873359934006, 0.6827933637067904, 0.6828185814534645, 0.6828919160544348, 0.68306243974233, 0.6834033029616585, 0.6840141948776249, 0.6850221876125834, 0.6865809321680285, 0.688868258491935, 0.6920822972162962, 0.6964362908695864, 0.7021523008112338, 0.709454044730236, 0.7185591197086311, 0.7296708786121617, 0.7429702337251534, 0.7586076617102016, 0.7766956786358086, 0.7973020433733264, 0.8204439324439408, 0.8460833096669614, 0.8741236899479715, 0.9044084684389004, 0.9367209542610659, 0.9707862121400748, 1.0062747757688135, 1.042808253581629, 1.0799668009598042, 1.1172983827471308, 1.1543296963670655, 1.1905785688108517, 1.2255675802971537, 1.2588386034484607, 1.2899678793141791, 1.3185811803776128, 1.344368535638257, 1.3670979137053956, 1.3866271762003781, 1.4029135250949492, 1.4160195730896938, 1.4261150644904488, 1.4334731632266937, 1.438460101198761, 1.4415168376988405, 1.4431312065133541, 1.443798792441746, 1.4439704024727948, 1.4439831519763802], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.39617766671865823}

11.166377

1

6.579121

[ [ 0.6827865944705991, 0.6827866107552115, 0.6827873359934006, 0.6827933637067904, 0.6828185814534645, 0.6828919160544348, 0.68306243974233, 0.6834033029616585, 0.6840141948776249, 0.6850221876125834, 0.6865809321680285, 0.688868258491935, 0.6920822972162962, 0.6964362908695864, 0.7021523008112338, 0.709454044730236, 0.7185591197086311, 0.7296708786121617, 0.7429702337251534, 0.7586076617102016, 0.7766956786358086, 0.7973020433733264, 0.8204439324439408, 0.8460833096669614, 0.8741236899479715, 0.9044084684389004, 0.9367209542610659, 0.9707862121400748, 1.0062747757688135, 1.042808253581629, 1.0799668009598042, 1.1172983827471308, 1.1543296963670655, 1.1905785688108517, 1.2255675802971537, 1.2588386034484607, 1.2899678793141791, 1.3185811803776128, 1.344368535638257, 1.3670979137053956, 1.3866271762003781, 1.4029135250949492, 1.4160195730896938, 1.4261150644904488, 1.4334731632266937, 1.438460101198761, 1.4415168376988405, 1.4431312065133541, 1.443798792441746, 1.4439704024727948, 1.4439831519763802 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.13522541089682344, -0.1929743338079373, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.396178

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

DmwVgdpLeRKD9biBwaAgFHE

null

false

null

false

DdpwfLhWrYvMcTfbTYyVqWx

D6imog9ZzGxeQkLpkqUBN5g

{"qi": 0.003071655725101943, "vacuum_well": -0.2265230672008229, "aspect_ratio": 9.77119662294617, "max_elongation": 3.6423538946568526, "average_triangularity": -0.4980087663754533, "axis_magnetic_mirror_ratio": 0.3235468825822922, "edge_magnetic_mirror_ratio": 0.4176728663879323, "aspect_ratio_over_edge_rotational_transform": 21.404449846839572, "flux_compression_in_regions_of_bad_curvature": 0.6275937961262608, "axis_rotational_transform_over_n_field_periods": 0.1529133610412303, "edge_rotational_transform_over_n_field_periods": 0.09130060985322559, "minimum_normalized_magnetic_gradient_scale_length": 5.318287797979031}

9.771197

21.40445

-0.881029

0.323547

0.152913

0.417673

0.091301

0.627594

3.642354

5.318288

0.003072

-0.226523

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.046769452479780545,-0.007325993728909202,0.0028677404373735,0.001196929913161636],[-0.0007120963484634934,-0.003540228098480226,0.024830419544935638,-0.03132626798437306,0.09179146776263956,0.011536654724723667,-0.005952715412444128,-0.0012542328308358301,-0.0003998668794545241],[-0.00024523604631649894,0.0033971124978922503,-0.019516176957817582,0.0072508479613618265,0.005998165295478526,0.0034799533049679724,-0.0029228031970514635,-0.0007458591844613847,-0.00014658994451163956],[0.00031750719221132766,-0.0017978294297818298,0.0018252241560799925,0.0016644891266769097,0.002489444732799909,-0.0009751543315679933,-0.0007017509929593295,0.00004906227752100216,-0.00009371458883158725],[-0.00016928465546977445,0.00001289072921094876,0.0005579181239524322,0.0004357327465290962,-0.0003880775814474567,-0.00033827719495560125,-0.000377857531340261,-0.0000371834278230436,0.00003408878295789404]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.020423978523003365,0.008475483408061821,0.00016452739198269785,-0.0006004462588717722],[-0.0005838497478908001,-0.00421335791681747,0.026761210864613593,0.008431305106269672,-0.13192859452464084,0.0194651060487167,0.005502552399941966,0.00003635557716675673,0.00008788429782815048],[0.0004003802691513082,0.003982806271529587,-0.018123694741534857,0.008090614910390665,-0.022790010412877922,-0.0009705214384994141,0.003186017162384005,-0.0002625611052082051,-0.00014642230774386135],[-0.00015151136154136277,0.0007236336670812682,0.0005450392398350777,-0.00017392810361986394,-0.0027823885299819453,-0.0004964014558587603,-0.0004682228466887027,-0.00008497669212326545,0.00014623696254147318],[0.00010618518597269684,-0.0004235227039900138,0.0008216114866207118,-0.0002963001307314606,-0.0009625176129034285,0.00011957594721996678,0.00009932588259864829,-0.000040815714246526244,0.000010325573662920817]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.046769452479780545, -0.007325993728909202, 0.0028677404373735, 0.001196929913161636 ], [ -0.0007120963484634934, -0.003540228098480226, 0.024830419544935638, -0.03132626798437306, 0.09179146776263956, 0.011536654724723667, -0.005952715412444128, -0.0012542328308358301, -0.0003998668794545241 ], [ -0.00024523604631649894, 0.0033971124978922503, -0.019516176957817582, 0.0072508479613618265, 0.005998165295478526, 0.0034799533049679724, -0.0029228031970514635, -0.0007458591844613847, -0.00014658994451163956 ], [ 0.00031750719221132766, -0.0017978294297818298, 0.0018252241560799925, 0.0016644891266769097, 0.002489444732799909, -0.0009751543315679933, -0.0007017509929593295, 0.00004906227752100216, -0.00009371458883158725 ], [ -0.00016928465546977445, 0.00001289072921094876, 0.0005579181239524322, 0.0004357327465290962, -0.0003880775814474567, -0.00033827719495560125, -0.000377857531340261, -0.0000371834278230436, 0.00003408878295789404 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.020423978523003365, 0.008475483408061821, 0.00016452739198269785, -0.0006004462588717722 ], [ -0.0005838497478908001, -0.00421335791681747, 0.026761210864613593, 0.008431305106269672, -0.13192859452464084, 0.0194651060487167, 0.005502552399941966, 0.00003635557716675673, 0.00008788429782815048 ], [ 0.0004003802691513082, 0.003982806271529587, -0.018123694741534857, 0.008090614910390665, -0.022790010412877922, -0.0009705214384994141, 0.003186017162384005, -0.0002625611052082051, -0.00014642230774386135 ], [ -0.00015151136154136277, 0.0007236336670812682, 0.0005450392398350777, -0.00017392810361986394, -0.0027823885299819453, -0.0004964014558587603, -0.0004682228466887027, -0.00008497669212326545, 0.00014623696254147318 ], [ 0.00010618518597269684, -0.0004235227039900138, 0.0008216114866207118, -0.0002963001307314606, -0.0009625176129034285, 0.00011957594721996678, 0.00009932588259864829, -0.000040815714246526244, 0.000010325573662920817 ] ]

D2L4oEPURZHXFAPaexQ5Dw3

{"aspect_ratio": 9.870182605913879, "major_radius": 1.0, "max_elongation": 6.72985284752869, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.22048663192053575, -0.1333978145638388, 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": [[0.7162182192464848, 0.7162182554466167, 0.7162193000598569, 0.7162260180203023, 0.716249673000959, 0.7163104340697592, 0.7164391394397256, 0.7166785650659023, 0.7170842327510312, 0.7177247864983671, 0.718681962684885, 0.7200501778168145, 0.7219357565881436, 0.7244558224100266, 0.7277368723659284, 0.7319130585904783, 0.7371241983217469, 0.7435135353106617, 0.7512252758749494, 0.7604019236556091, 0.7711814380765144, 0.783694242634306, 0.7980601104750554, 0.8143849562724326, 0.8327575652439555, 0.8532462922722858, 0.8758957665952682, 0.9007236404658402, 0.9277174236570035, 0.9568314498225143, 0.9879840256844844, 1.021054820021891, 1.0558825567709254, 1.09226308561704, 1.1299479148107021, 1.1686433053515393, 1.2080100442771013, 1.2476640392078417, 1.2871779090204702, 1.32608379039762, 1.3638776432035886, 1.400025429429491, 1.4339716786744807, 1.4651511704159308, 1.4930048231913502, 1.517001516737623, 1.5366687941614368, 1.5516380112991035, 1.561716091582662, 1.5670174718563232, 1.5683157855549663], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6068552621974197}

9.870183

1

6.729853

[ [ 0.7162182192464848, 0.7162182554466167, 0.7162193000598569, 0.7162260180203023, 0.716249673000959, 0.7163104340697592, 0.7164391394397256, 0.7166785650659023, 0.7170842327510312, 0.7177247864983671, 0.718681962684885, 0.7200501778168145, 0.7219357565881436, 0.7244558224100266, 0.7277368723659284, 0.7319130585904783, 0.7371241983217469, 0.7435135353106617, 0.7512252758749494, 0.7604019236556091, 0.7711814380765144, 0.783694242634306, 0.7980601104750554, 0.8143849562724326, 0.8327575652439555, 0.8532462922722858, 0.8758957665952682, 0.9007236404658402, 0.9277174236570035, 0.9568314498225143, 0.9879840256844844, 1.021054820021891, 1.0558825567709254, 1.09226308561704, 1.1299479148107021, 1.1686433053515393, 1.2080100442771013, 1.2476640392078417, 1.2871779090204702, 1.32608379039762, 1.3638776432035886, 1.400025429429491, 1.4339716786744807, 1.4651511704159308, 1.4930048231913502, 1.517001516737623, 1.5366687941614368, 1.5516380112991035, 1.561716091582662, 1.5670174718563232, 1.5683157855549663 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.22048663192053575, -0.1333978145638388, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.606855

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

D4cp9nyXyZ4SEGbWCYfMgWJ

null

false

null

false

DYr69Q2G5Bc2dF8UcDRURGk

DRPvgHZeJ4vgV3yohxEFfXz

{"qi": 0.029632061746936004, "vacuum_well": -0.10203162662272992, "aspect_ratio": 8.781582225964657, "max_elongation": 5.315375222725338, "average_triangularity": -0.3386937360457334, "axis_magnetic_mirror_ratio": 0.47459743764425966, "edge_magnetic_mirror_ratio": 0.7314442681777515, "aspect_ratio_over_edge_rotational_transform": 8.228590758370832, "flux_compression_in_regions_of_bad_curvature": 1.359920849590093, "axis_rotational_transform_over_n_field_periods": 0.22266272704117215, "edge_rotational_transform_over_n_field_periods": 0.21344073326362173, "minimum_normalized_magnetic_gradient_scale_length": 2.856486137053651}

8.781582

8.228591

-0.520732

0.474597

0.222663

0.731444

0.213441

1.359921

5.315375

2.856486

0.029632

-0.102032

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.08465450385961332,-0.03205706087873968,0.0010087709187246376,0.00032982856205237155],[0.0014541258691893521,0.004086835966999719,0.031062224699866185,0.05832759634605779,0.06846981535819174,-0.039502308633488414,0.008930368981565415,-0.0005873987103390355,-0.0004273248958930278],[-0.001243810329599884,-0.0049918578780428656,-0.013249846375748688,-0.001829028161328807,-0.006532402953499904,-0.0008608006135810307,0.0015162991332640062,-0.0008795587091424738,0.00022033217833007516],[0.0004463499629651889,0.0013000365108534967,0.003947773995291308,0.0029810426782045304,-0.003070816250066214,0.0004098674505767649,0.00027440529413687753,-0.00013597688711679018,0.000021250307463014766],[0.0001345073208555063,-0.00007355283407811035,-0.00033282968704996237,0.00004973547017933684,-0.000417166933103421,0.00039711153124403,-0.00038552204772722637,0.00013569242127243878,-0.0000176714471503889]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.03552511940029898,0.011652359796144488,0.0002856484582732955,0.00003846234004799277],[0.0019222043772401311,0.009509769371108003,0.04037149021944998,0.006377867522308622,-0.17873478142265428,0.05818410963751949,-0.012389726844004788,0.0013486552754464476,0.00029262112911174047],[-0.001494143166077743,-0.00984785737515253,-0.019360701774768965,0.0022364053012901824,0.0051918207819548765,-0.0016614344596905563,0.00047584430796271567,0.0004283542071477301,-0.00013478255087361448],[0.00006954494117208441,-0.0010431720114816125,-0.0022538262593543466,-0.004666750848959721,0.0013531628311542609,0.00047433048520384956,-0.00026464380038868324,0.00008143724002675348,-0.000018655102590636307],[0.00017198225349633937,0.00006670229423768895,0.00032764330943004514,0.0014461615233420481,-0.0010185177634576253,8.70507441904679e-6,0.00033964605334550204,-0.00015013530090070986,0.000033069763387084386]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.08465450385961332, -0.03205706087873968, 0.0010087709187246376, 0.00032982856205237155 ], [ 0.0014541258691893521, 0.004086835966999719, 0.031062224699866185, 0.05832759634605779, 0.06846981535819174, -0.039502308633488414, 0.008930368981565415, -0.0005873987103390355, -0.0004273248958930278 ], [ -0.001243810329599884, -0.0049918578780428656, -0.013249846375748688, -0.001829028161328807, -0.006532402953499904, -0.0008608006135810307, 0.0015162991332640062, -0.0008795587091424738, 0.00022033217833007516 ], [ 0.0004463499629651889, 0.0013000365108534967, 0.003947773995291308, 0.0029810426782045304, -0.003070816250066214, 0.0004098674505767649, 0.00027440529413687753, -0.00013597688711679018, 0.000021250307463014766 ], [ 0.0001345073208555063, -0.00007355283407811035, -0.00033282968704996237, 0.00004973547017933684, -0.000417166933103421, 0.00039711153124403, -0.00038552204772722637, 0.00013569242127243878, -0.0000176714471503889 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.03552511940029898, 0.011652359796144488, 0.0002856484582732955, 0.00003846234004799277 ], [ 0.0019222043772401311, 0.009509769371108003, 0.04037149021944998, 0.006377867522308622, -0.17873478142265428, 0.05818410963751949, -0.012389726844004788, 0.0013486552754464476, 0.00029262112911174047 ], [ -0.001494143166077743, -0.00984785737515253, -0.019360701774768965, 0.0022364053012901824, 0.0051918207819548765, -0.0016614344596905563, 0.00047584430796271567, 0.0004283542071477301, -0.00013478255087361448 ], [ 0.00006954494117208441, -0.0010431720114816125, -0.0022538262593543466, -0.004666750848959721, 0.0013531628311542609, 0.00047433048520384956, -0.00026464380038868324, 0.00008143724002675348, -0.000018655102590636307 ], [ 0.00017198225349633937, 0.00006670229423768895, 0.00032764330943004514, 0.0014461615233420481, -0.0010185177634576253, 0.00000870507441904679, 0.00033964605334550204, -0.00015013530090070986, 0.000033069763387084386 ] ]

DJYnQU7ABfj4tMdRUAWHU7n

{"aspect_ratio": 7.622533667740886, "major_radius": 1.0, "max_elongation": 5.667869700869402, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.05313380600207261, 0.5441700226243436, 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": [[0.7176982251927679, 0.7177056621713656, 0.7177968797482692, 0.718135051441175, 0.7189318471772838, 0.7204200488321085, 0.7228338099223041, 0.726393908166987, 0.7312967678382558, 0.737706507662366, 0.7457494921324852, 0.7555109865150514, 0.7670335914953255, 0.7803171842498731, 0.7953201291774032, 0.8119615490322916, 0.8301244688816558, 0.849659663007623, 0.8703900497773756, 0.8921154923798547, 0.9146178747096642, 0.9376663319401825, 0.9610225247416713, 0.9844458548704067, 1.0076985281388238, 1.030550378699084, 1.0527833762353922, 1.0741957451501352, 1.094605632221221, 1.1138542665720956, 1.1318085631977466, 1.1483631287952631, 1.16344163632456, 1.176997542647718, 1.1890141318475662, 1.199503875504984, 1.2085071104372445, 1.2160900443121596, 1.2223421103403465, 1.2273727041540186, 1.2313073493331856, 1.2342833532943884, 1.2364450330664065, 1.237938611814752, 1.2389069133562578, 1.2394840158105267, 1.2397900713186831, 1.239926564726789, 1.2399723880852749, 1.239981295135636, 1.2399817284159902], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1245063241733368}

7.622534

1

5.66787

[ [ 0.7176982251927679, 0.7177056621713656, 0.7177968797482692, 0.718135051441175, 0.7189318471772838, 0.7204200488321085, 0.7228338099223041, 0.726393908166987, 0.7312967678382558, 0.737706507662366, 0.7457494921324852, 0.7555109865150514, 0.7670335914953255, 0.7803171842498731, 0.7953201291774032, 0.8119615490322916, 0.8301244688816558, 0.849659663007623, 0.8703900497773756, 0.8921154923798547, 0.9146178747096642, 0.9376663319401825, 0.9610225247416713, 0.9844458548704067, 1.0076985281388238, 1.030550378699084, 1.0527833762353922, 1.0741957451501352, 1.094605632221221, 1.1138542665720956, 1.1318085631977466, 1.1483631287952631, 1.16344163632456, 1.176997542647718, 1.1890141318475662, 1.199503875504984, 1.2085071104372445, 1.2160900443121596, 1.2223421103403465, 1.2273727041540186, 1.2313073493331856, 1.2342833532943884, 1.2364450330664065, 1.237938611814752, 1.2389069133562578, 1.2394840158105267, 1.2397900713186831, 1.239926564726789, 1.2399723880852749, 1.239981295135636, 1.2399817284159902 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.05313380600207261, 0.5441700226243436, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.124506

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

DRo8Sk463jiEmvWnSa5WEHa

null

false

null

false

Dh5XZLXEjhxBWnkLWM5rgc4

DYTbhWaAZMcvnBWcd53GTm4

{"qi": 0.04902068941915325, "vacuum_well": -0.18407430539074165, "aspect_ratio": 6.786245363030291, "max_elongation": 3.186528083459448, "average_triangularity": -0.08693400249547659, "axis_magnetic_mirror_ratio": 0.5773954619992998, "edge_magnetic_mirror_ratio": 0.9551532588238448, "aspect_ratio_over_edge_rotational_transform": 7.973699853709063, "flux_compression_in_regions_of_bad_curvature": 0.8995617464046692, "axis_rotational_transform_over_n_field_periods": 0.2621292094548457, "edge_rotational_transform_over_n_field_periods": 0.21276965171549525, "minimum_normalized_magnetic_gradient_scale_length": 2.132309514204616}

6.786245

7.9737

-0.102163

0.577395

0.262129

0.955153

0.21277

0.899562

3.186528

2.13231

0.049021

-0.184074

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.26579688295049764,-0.027002012982672286,-0.018699898634604598,-0.0006872302689647216],[-0.0006641272427653936,0.011774976338539824,0.06622434358287732,-0.08492906464765052,0.1490056061224978,0.01256658617286708,-0.016866381920277222,0.003667710337122051,0.0012123364064450999],[0.0017733953904109365,-0.003476198038111474,-0.017456556313371636,0.002040485954698264,0.008070349148150182,-0.005170944145485375,-0.0018845799911359718,-0.0003533539064647913,-0.0007164354904698031],[-0.00013510643977818874,-0.001462320155440137,0.004702259877449051,-0.001623822393158214,0.006137024198642474,-0.0037197954374245425,0.0002779726393859509,-0.0007048347877126665,-0.0000730251235048657],[-0.0005715170486686376,0.0005636471595641395,-0.0011821816935409205,0.0009632492758062106,-0.00022636230453704285,-0.000526567279847125,0.00011612314741171531,-0.00012863944553007933,-0.000015358369703770403]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.02315965050972212,0.02332882154178077,0.012251262170733536,0.0031233980036510923],[0.0014023733268614222,0.020393114188323826,0.014599037020127714,0.024714810989403986,-0.10941386931785978,-0.019541511782904072,-0.0029825521570515517,0.001726405514484903,0.0004085509694296217],[0.0030517839372092223,-0.010171322459980462,0.001006330067236861,-0.016190088312426475,-0.0006020863897669145,-0.004927998934240742,0.0037881121175232903,0.001692227548829764,0.0005471559513944224],[-0.001741851188469484,0.0010199628881207511,0.0004643980045477656,-0.0006098282589130793,-0.0048220365687248815,0.0003617663657419664,-0.0001042822233537327,0.0003576894471640195,-0.0001998234197001927],[0.00003369426284152579,0.00035836997596186144,-0.0007917512940181739,0.00017442026411049178,-0.0005276985856426082,-0.00007575046211987322,-0.0001751650882844722,-0.0001544700957905946,0.00007770528758996179]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.26579688295049764, -0.027002012982672286, -0.018699898634604598, -0.0006872302689647216 ], [ -0.0006641272427653936, 0.011774976338539824, 0.06622434358287732, -0.08492906464765052, 0.1490056061224978, 0.01256658617286708, -0.016866381920277222, 0.003667710337122051, 0.0012123364064450999 ], [ 0.0017733953904109365, -0.003476198038111474, -0.017456556313371636, 0.002040485954698264, 0.008070349148150182, -0.005170944145485375, -0.0018845799911359718, -0.0003533539064647913, -0.0007164354904698031 ], [ -0.00013510643977818874, -0.001462320155440137, 0.004702259877449051, -0.001623822393158214, 0.006137024198642474, -0.0037197954374245425, 0.0002779726393859509, -0.0007048347877126665, -0.0000730251235048657 ], [ -0.0005715170486686376, 0.0005636471595641395, -0.0011821816935409205, 0.0009632492758062106, -0.00022636230453704285, -0.000526567279847125, 0.00011612314741171531, -0.00012863944553007933, -0.000015358369703770403 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.02315965050972212, 0.02332882154178077, 0.012251262170733536, 0.0031233980036510923 ], [ 0.0014023733268614222, 0.020393114188323826, 0.014599037020127714, 0.024714810989403986, -0.10941386931785978, -0.019541511782904072, -0.0029825521570515517, 0.001726405514484903, 0.0004085509694296217 ], [ 0.0030517839372092223, -0.010171322459980462, 0.001006330067236861, -0.016190088312426475, -0.0006020863897669145, -0.004927998934240742, 0.0037881121175232903, 0.001692227548829764, 0.0005471559513944224 ], [ -0.001741851188469484, 0.0010199628881207511, 0.0004643980045477656, -0.0006098282589130793, -0.0048220365687248815, 0.0003617663657419664, -0.0001042822233537327, 0.0003576894471640195, -0.0001998234197001927 ], [ 0.00003369426284152579, 0.00035836997596186144, -0.0007917512940181739, 0.00017442026411049178, -0.0005276985856426082, -0.00007575046211987322, -0.0001751650882844722, -0.0001544700957905946, 0.00007770528758996179 ] ]

DiXUVAbx2NYXRWmdoXYqgQ4

{"aspect_ratio": 5.2226034562891535, "major_radius": 1.0, "max_elongation": 4.115006395635422, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.3445626049313807, -0.08162020913458191, 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": [[0.8545310171923365, 0.8547757612673653, 0.8559289596108534, 0.858295640806439, 0.8619798521309712, 0.8669754422983198, 0.8732068547220482, 0.8805538784412199, 0.8888684950541854, 0.8979870226833778, 0.907739132156069, 0.9179546273758893, 0.9284685473131226, 0.9391249645703932, 0.9497797475292852, 0.9603024849961455, 0.9705777270238054, 0.980505664188369, 0.9900023449881707, 0.998999514216542, 1.0074441422981795, 1.0152977054920163, 1.022535268773332, 1.0291444165859784, 1.0351240711341338, 1.040483233200019, 1.0452396764390819, 1.0494186225763444, 1.053051421800514, 1.0561742598446142, 1.058826910689577, 1.0610515514800078, 1.0628916540582845, 1.0643909654705528, 1.0655925878475243, 1.066538166189459, 1.067267190766055, 1.0678164190573387, 1.0682194203906952, 1.0685062446509017, 1.0687032146316544, 1.068832839732334, 1.068913846750751, 1.0689613214402773, 1.0689869522324023, 1.0689993649933145, 1.0690045347632977, 1.0690062569196461, 1.0690066557454503, 1.0690067022355707, 1.0690067032457853], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1191326153135877}

5.222603

1

4.115006

[ [ 0.8545310171923365, 0.8547757612673653, 0.8559289596108534, 0.858295640806439, 0.8619798521309712, 0.8669754422983198, 0.8732068547220482, 0.8805538784412199, 0.8888684950541854, 0.8979870226833778, 0.907739132156069, 0.9179546273758893, 0.9284685473131226, 0.9391249645703932, 0.9497797475292852, 0.9603024849961455, 0.9705777270238054, 0.980505664188369, 0.9900023449881707, 0.998999514216542, 1.0074441422981795, 1.0152977054920163, 1.022535268773332, 1.0291444165859784, 1.0351240711341338, 1.040483233200019, 1.0452396764390819, 1.0494186225763444, 1.053051421800514, 1.0561742598446142, 1.058826910689577, 1.0610515514800078, 1.0628916540582845, 1.0643909654705528, 1.0655925878475243, 1.066538166189459, 1.067267190766055, 1.0678164190573387, 1.0682194203906952, 1.0685062446509017, 1.0687032146316544, 1.068832839732334, 1.068913846750751, 1.0689613214402773, 1.0689869522324023, 1.0689993649933145, 1.0690045347632977, 1.0690062569196461, 1.0690066557454503, 1.0690067022355707, 1.0690067032457853 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.3445626049313807, -0.08162020913458191, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.119133

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

D7wjkkbd3rXwGbGdNvw8KrM

null

false

null

false

DkVFvMQ3Zqpjbow2Z4BXhNW

DUSzoe8Dcwpw88UahgPty6A

{"qi": 0.008445321315774574, "vacuum_well": -0.14529469837257064, "aspect_ratio": 10.171420508158805, "max_elongation": 4.814952314540469, "average_triangularity": -0.4346471818487541, "axis_magnetic_mirror_ratio": 0.14528200566861146, "edge_magnetic_mirror_ratio": 0.20846851915889825, "aspect_ratio_over_edge_rotational_transform": 13.949762372472634, "flux_compression_in_regions_of_bad_curvature": 1.1528636536236223, "axis_rotational_transform_over_n_field_periods": 0.19243733854963893, "edge_rotational_transform_over_n_field_periods": 0.24304883568555233, "minimum_normalized_magnetic_gradient_scale_length": 7.3188026637258305}

10.171421

13.949762

-0.671643

0.145282

0.192437

0.208469

0.243049

1.152864

4.814952

7.318803

0.008445

-0.145295

{"r_cos":[[0.0,0.0,0.0,0.0,0.9990696224565097,-0.002588525642061273,-0.020442677598735685,0.002653712440196847,-0.000032955393814208124],[2.6173623405253738e-6,-0.003894215119446213,-0.0020075898420571538,-0.042694343917058286,0.10395565534136295,-0.012118099854582258,0.0026319893960182125,-0.003703728418794524,0.0007529770601047096],[-0.0016234424054801847,0.0007256869050441459,-0.009338827709548657,0.004373504318969928,-0.0014782760642407836,0.005361978102966815,-0.0019210024034925282,-0.0005823464793394664,0.00014281995540773402],[0.0003571725891811778,-0.00018258312819803465,0.0004876691525017646,-0.005372413711774016,0.008797956389996336,-0.0006200742295495976,-0.0016278307012258953,-0.0000986232520674329,0.00024867788004277215],[0.00013868190932796406,0.0006406711415157786,-0.001066456294384587,-0.0012028496032692243,0.0018046034131395025,0.00014757511582986788,-0.0004577974527136389,-0.00017557743644701503,0.00009888209757005221]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12766393123220982,0.016336507642936274,0.0007620869170140875,0.0006747712492106237],[0.00016182105118551615,-0.007443677435319005,0.0004790429796637755,-0.09096757516209798,-0.1291347244933138,0.03709250899105933,-0.002390269756761096,0.0029880715861710745,-0.0009389117653392686],[-0.0022038445583298103,-0.0031141938432913607,-0.017798801557527694,0.004013070277583373,-0.0065997364264521186,-0.0012160944978353817,0.0019636669281165257,0.00031369040462300734,0.000043095408120483744],[0.00029554900892616426,0.0005735785606477866,0.0020556439209813812,-0.009645124741452191,-0.012500656104688548,0.010556816176543754,-0.0005606429539337845,-0.0006243188451495445,-0.00006768092823543502],[-0.00003023124032567638,0.0011945578160012524,0.0021678542264403047,-0.003677481610095936,-0.0023834168203134454,0.0026286582454519967,-7.098336393656507e-6,0.00006839733383473198,-0.00008763157525639711]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9990696224565097, -0.002588525642061273, -0.020442677598735685, 0.002653712440196847, -0.000032955393814208124 ], [ 0.0000026173623405253738, -0.003894215119446213, -0.0020075898420571538, -0.042694343917058286, 0.10395565534136295, -0.012118099854582258, 0.0026319893960182125, -0.003703728418794524, 0.0007529770601047096 ], [ -0.0016234424054801847, 0.0007256869050441459, -0.009338827709548657, 0.004373504318969928, -0.0014782760642407836, 0.005361978102966815, -0.0019210024034925282, -0.0005823464793394664, 0.00014281995540773402 ], [ 0.0003571725891811778, -0.00018258312819803465, 0.0004876691525017646, -0.005372413711774016, 0.008797956389996336, -0.0006200742295495976, -0.0016278307012258953, -0.0000986232520674329, 0.00024867788004277215 ], [ 0.00013868190932796406, 0.0006406711415157786, -0.001066456294384587, -0.0012028496032692243, 0.0018046034131395025, 0.00014757511582986788, -0.0004577974527136389, -0.00017557743644701503, 0.00009888209757005221 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12766393123220982, 0.016336507642936274, 0.0007620869170140875, 0.0006747712492106237 ], [ 0.00016182105118551615, -0.007443677435319005, 0.0004790429796637755, -0.09096757516209798, -0.1291347244933138, 0.03709250899105933, -0.002390269756761096, 0.0029880715861710745, -0.0009389117653392686 ], [ -0.0022038445583298103, -0.0031141938432913607, -0.017798801557527694, 0.004013070277583373, -0.0065997364264521186, -0.0012160944978353817, 0.0019636669281165257, 0.00031369040462300734, 0.000043095408120483744 ], [ 0.00029554900892616426, 0.0005735785606477866, 0.0020556439209813812, -0.009645124741452191, -0.012500656104688548, 0.010556816176543754, -0.0005606429539337845, -0.0006243188451495445, -0.00006768092823543502 ], [ -0.00003023124032567638, 0.0011945578160012524, 0.0021678542264403047, -0.003677481610095936, -0.0023834168203134454, 0.0026286582454519967, -0.000007098336393656507, 0.00006839733383473198, -0.00008763157525639711 ] ]

Dke3dH7jUJ6pt4GNVSWhmFk

{"aspect_ratio": 11.47194567512205, "major_radius": 1.0, "max_elongation": 4.707191138355319, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05507021193651686, -0.2903569425978794, 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": [[0.8670507677840151, 0.8670507702223967, 0.8670508924796191, 0.8670519914056166, 0.8670568731966241, 0.8670717901421884, 0.8671079966662839, 0.867183207971982, 0.8673228462904777, 0.867560990041835, 0.8679409653845388, 0.8685155398887002, 0.8693466955584314, 0.87050497381381, 0.8720683987345661, 0.874120997137704, 0.8767509450949907, 0.8800483804227671, 0.884102929586466, 0.8890010054183027, 0.8948229390903902, 0.9016400159416069, 0.9095114900351507, 0.9184816567221485, 0.9285770659900416, 0.9398039619554169, 0.9521460354790797, 0.965562577481464, 0.9799871200470899, 0.9953266507357534, 1.0114614825488446, 1.0282458575840328, 1.0455093563631825, 1.0630591768973474, 1.0806833374501215, 1.0981548442728812, 1.1152368497771823, 1.1316888069578135, 1.147273601388261, 1.1617656113715389, 1.174959607801271, 1.1866803549096632, 1.1967927065873576, 1.205211902605848, 1.211913641557127, 1.2169433182779885, 1.2204235144453015, 1.2225583143372327, 1.2236320061297916, 1.2239973216929458, 1.2240399163248101], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5050225771744654}

11.471946

1

4.707191

[ [ 0.8670507677840151, 0.8670507702223967, 0.8670508924796191, 0.8670519914056166, 0.8670568731966241, 0.8670717901421884, 0.8671079966662839, 0.867183207971982, 0.8673228462904777, 0.867560990041835, 0.8679409653845388, 0.8685155398887002, 0.8693466955584314, 0.87050497381381, 0.8720683987345661, 0.874120997137704, 0.8767509450949907, 0.8800483804227671, 0.884102929586466, 0.8890010054183027, 0.8948229390903902, 0.9016400159416069, 0.9095114900351507, 0.9184816567221485, 0.9285770659900416, 0.9398039619554169, 0.9521460354790797, 0.965562577481464, 0.9799871200470899, 0.9953266507357534, 1.0114614825488446, 1.0282458575840328, 1.0455093563631825, 1.0630591768973474, 1.0806833374501215, 1.0981548442728812, 1.1152368497771823, 1.1316888069578135, 1.147273601388261, 1.1617656113715389, 1.174959607801271, 1.1866803549096632, 1.1967927065873576, 1.205211902605848, 1.211913641557127, 1.2169433182779885, 1.2204235144453015, 1.2225583143372327, 1.2236320061297916, 1.2239973216929458, 1.2240399163248101 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05507021193651686, -0.2903569425978794, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.505023

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

DGAU7uUQN8w5mJfdKHJPwMD

null

false

null

false

D83vrxUYvQfZ9XCpnobpeiQ

DjfQP7ESHN4YaZ7GoMbpjgP

{"qi": 0.0016842341243345036, "vacuum_well": -0.1428610862024541, "aspect_ratio": 9.431282925920307, "max_elongation": 7.206694920127105, "average_triangularity": -0.009969223210719969, "axis_magnetic_mirror_ratio": 0.38163386158437107, "edge_magnetic_mirror_ratio": 0.41999797181437815, "aspect_ratio_over_edge_rotational_transform": 9.457088040099594, "flux_compression_in_regions_of_bad_curvature": 1.6090548370761775, "axis_rotational_transform_over_n_field_periods": 0.20958295392747148, "edge_rotational_transform_over_n_field_periods": 0.19945426934655003, "minimum_normalized_magnetic_gradient_scale_length": 8.67888860440318}

9.431283

9.457088

0.183508

0.381634

0.209583

0.419998

0.199454

1.609055

7.206695

8.678889

0.001684

-0.142861

{"r_cos":[[0.0,0.0,0.0,0.0,0.9996375466831702,0.011898201670550817,-0.006374412110657549,-0.0013432949625138725,-0.0001878248916246327],[0.00011330461191425424,-0.0038671854536886986,-0.009197361022592589,-0.0831319124265939,0.11927963137415212,0.013726099825054655,-0.006391399539200105,-0.00045584945077483926,0.0003720575210550719],[0.0001762167892582347,0.0022089080387616136,0.00664345170484846,0.024543175614589526,-0.010188922400297612,0.00879041509420904,-0.0024600850913397273,0.0006714079521047175,0.00015499423384749057],[-0.000016969520690297017,-0.00042258832885565424,7.801973890018748e-6,-0.003804143921437909,0.0073280805499449835,0.0007877550315974838,-0.0013856191326498829,0.00039488854500294846,0.0000661585352047981],[0.0001121266112468062,2.312621226307186e-6,-0.00020087323085113455,0.0006050373662338754,0.0007353696054460634,-0.000706117122438388,0.00014984347644544363,0.0001002115078538736,-0.000010705056876911946]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.036511904169603926,0.0064714516849939535,-0.0012429482696000183,0.00021522742477782933],[0.00025885224317380483,-0.0025933542409339785,-0.0016134330602647442,-0.07048991874482673,-0.16462338416970648,0.02403853824753334,0.004253071683209328,0.0005458568341472772,-0.00023854002041140627],[-0.0003174926714158388,0.002900784062157949,0.0009734177937721927,0.025264515146316363,-0.03725014329324367,-0.00024217597345413573,0.0021651688603807123,-0.0006015527515695941,-0.00011832906105368863],[-0.0005482887010107207,0.00022564635175816792,-0.0013968492668308499,0.004063797232575151,-0.009881689090618638,0.004121655647224436,-0.0006698254660461598,-0.00024846958870297897,-6.5616265343328584e-6],[0.00004944775252869209,0.00008208501329525029,0.00012131820888130617,-0.0005240213693278936,-0.0013450340801036988,0.001151775988312126,-0.00004415232706393995,-0.00020216189552999333,0.00002669611460977827]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9996375466831702, 0.011898201670550817, -0.006374412110657549, -0.0013432949625138725, -0.0001878248916246327 ], [ 0.00011330461191425424, -0.0038671854536886986, -0.009197361022592589, -0.0831319124265939, 0.11927963137415212, 0.013726099825054655, -0.006391399539200105, -0.00045584945077483926, 0.0003720575210550719 ], [ 0.0001762167892582347, 0.0022089080387616136, 0.00664345170484846, 0.024543175614589526, -0.010188922400297612, 0.00879041509420904, -0.0024600850913397273, 0.0006714079521047175, 0.00015499423384749057 ], [ -0.000016969520690297017, -0.00042258832885565424, 0.000007801973890018748, -0.003804143921437909, 0.0073280805499449835, 0.0007877550315974838, -0.0013856191326498829, 0.00039488854500294846, 0.0000661585352047981 ], [ 0.0001121266112468062, 0.000002312621226307186, -0.00020087323085113455, 0.0006050373662338754, 0.0007353696054460634, -0.000706117122438388, 0.00014984347644544363, 0.0001002115078538736, -0.000010705056876911946 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.036511904169603926, 0.0064714516849939535, -0.0012429482696000183, 0.00021522742477782933 ], [ 0.00025885224317380483, -0.0025933542409339785, -0.0016134330602647442, -0.07048991874482673, -0.16462338416970648, 0.02403853824753334, 0.004253071683209328, 0.0005458568341472772, -0.00023854002041140627 ], [ -0.0003174926714158388, 0.002900784062157949, 0.0009734177937721927, 0.025264515146316363, -0.03725014329324367, -0.00024217597345413573, 0.0021651688603807123, -0.0006015527515695941, -0.00011832906105368863 ], [ -0.0005482887010107207, 0.00022564635175816792, -0.0013968492668308499, 0.004063797232575151, -0.009881689090618638, 0.004121655647224436, -0.0006698254660461598, -0.00024846958870297897, -0.0000065616265343328584 ], [ 0.00004944775252869209, 0.00008208501329525029, 0.00012131820888130617, -0.0005240213693278936, -0.0013450340801036988, 0.001151775988312126, -0.00004415232706393995, -0.00020216189552999333, 0.00002669611460977827 ] ]

DTUrpBbKjyufsdLaMogACFL

{"aspect_ratio": 11.272408626288165, "major_radius": 1.0, "max_elongation": 6.820562137141186, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.013972275947901269, -0.083997726385722, 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": [[0.6532578045201094, 0.6532578226351858, 0.6532586564548372, 0.6532657146963406, 0.6532955827086365, 0.6533830864460398, 0.6535875409030347, 0.6539974593995992, 0.6547333233490024, 0.6559482305065448, 0.6578263990142142, 0.6605796246281533, 0.6644418798390906, 0.6696623124723844, 0.6764969519136582, 0.6851994662385051, 0.6960113353613656, 0.709151815498976, 0.7248080700753332, 0.7431258327537675, 0.7642009504773501, 0.7880721290204743, 0.8147151713020244, 0.844038960218712, 0.875883393613094, 0.9100194297487594, 0.9461513478584436, 0.9839212704824527, 1.0229159329474862, 1.0626756209822192, 1.1027051306786144, 1.142486536371882, 1.181493482158685, 1.219206642397555, 1.2551299264185989, 1.2888069337076025, 1.319837099073879, 1.3478909040238003, 1.3727234722953572, 1.3941858162245633, 1.4122329588611655, 1.4269281279501755, 1.4384422068060077, 1.4470476406253232, 1.4531060454060483, 1.4570488672783544, 1.4593506220064585, 1.4604945633479653, 1.4609312047641092, 1.4610312630279298, 1.461037440510126], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.053629693172048}

11.272409

1

6.820562

[ [ 0.6532578045201094, 0.6532578226351858, 0.6532586564548372, 0.6532657146963406, 0.6532955827086365, 0.6533830864460398, 0.6535875409030347, 0.6539974593995992, 0.6547333233490024, 0.6559482305065448, 0.6578263990142142, 0.6605796246281533, 0.6644418798390906, 0.6696623124723844, 0.6764969519136582, 0.6851994662385051, 0.6960113353613656, 0.709151815498976, 0.7248080700753332, 0.7431258327537675, 0.7642009504773501, 0.7880721290204743, 0.8147151713020244, 0.844038960218712, 0.875883393613094, 0.9100194297487594, 0.9461513478584436, 0.9839212704824527, 1.0229159329474862, 1.0626756209822192, 1.1027051306786144, 1.142486536371882, 1.181493482158685, 1.219206642397555, 1.2551299264185989, 1.2888069337076025, 1.319837099073879, 1.3478909040238003, 1.3727234722953572, 1.3941858162245633, 1.4122329588611655, 1.4269281279501755, 1.4384422068060077, 1.4470476406253232, 1.4531060454060483, 1.4570488672783544, 1.4593506220064585, 1.4604945633479653, 1.4609312047641092, 1.4610312630279298, 1.461037440510126 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.013972275947901269, -0.083997726385722, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.05363

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

DgoNwMrYqPcePKXmExhk3xE

null

false

null

false

Dd2aqHR3xxxzHaiVQ84cZcY

DGmRUPgqNoujQFZ4spggPSf

{"qi": 0.0018769424375538817, "vacuum_well": -0.14561021135134072, "aspect_ratio": 9.703457611798173, "max_elongation": 6.802269042301198, "average_triangularity": 0.04857906840448345, "axis_magnetic_mirror_ratio": 0.28847963621656914, "edge_magnetic_mirror_ratio": 0.39034836798344963, "aspect_ratio_over_edge_rotational_transform": 10.220977095967013, "flux_compression_in_regions_of_bad_curvature": 1.20364748929119, "axis_rotational_transform_over_n_field_periods": 0.17489244946934251, "edge_rotational_transform_over_n_field_periods": 0.18987338530730016, "minimum_normalized_magnetic_gradient_scale_length": 9.825433196403116}

9.703458

10.220977

0.173331

0.28848

0.174892

0.390348

0.189873

1.203647

6.802269

9.825433

0.001877

-0.14561

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.039093466370372754,0.00247946651815402,-0.0008806610368871996,0.00008606628583953703],[0.00003191446036001971,0.0012943983077833858,-0.01040573726344482,0.05869100271231717,0.0883236836285697,-0.02853333642224863,0.005643974160156873,-0.0012649321842277898,0.0003707497312892402],[-0.00012417675323112207,0.0013566719720240006,0.007985253295327078,-0.028994904360311404,0.003824408253045177,-0.013122438876159225,0.0030070689608281214,-0.0005679028562351049,0.00010508301139549136],[0.00010220831217140545,-0.0009893204512451078,-0.004564110689079629,0.006332544989326403,0.002034960169750037,-0.0026448643521000963,0.00178937332394359,-0.00027154729608060884,0.00007263037932747129],[-0.0002310062098797314,-0.00002327648287924606,0.0010630702532609631,-0.0013919145173265832,-0.0015459468043598106,0.0003692178413653343,-0.00001185044765783733,-0.00009351643191249967,9.72839134353276e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.013705723366898634,0.0001007316428084308,-0.0008700189560988861,0.00015305340463487446],[-0.0001846381531447859,-0.00035377049960453656,0.0020469214839310425,0.05908363089536583,-0.1703576378588221,0.043892595819789985,-0.006962644838494906,-0.00013227921311557603,-0.00005595584807548389],[0.0006543936000149117,0.00040921296720610194,-0.002686262824626506,-0.03712462027740602,-0.0011623574544714075,0.015133308284151879,-0.005990118489076046,0.0014157319229224,-0.00012481215635880885],[-0.00013245384067014804,-0.00032630346514943016,-0.004009263244588725,-0.000283875513939732,0.00045163826236161266,0.000031169139405697434,-0.001238564803136197,0.0003917660009004712,-0.00007847056403462222],[-0.00004982654655745999,-0.00013272123966539317,0.0005718617720085928,0.00019418408406302848,0.0007376126675797234,0.00012093575152201147,-0.00023657874709797182,0.00009682396147879859,2.0530184005827226e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.039093466370372754, 0.00247946651815402, -0.0008806610368871996, 0.00008606628583953703 ], [ 0.00003191446036001971, 0.0012943983077833858, -0.01040573726344482, 0.05869100271231717, 0.0883236836285697, -0.02853333642224863, 0.005643974160156873, -0.0012649321842277898, 0.0003707497312892402 ], [ -0.00012417675323112207, 0.0013566719720240006, 0.007985253295327078, -0.028994904360311404, 0.003824408253045177, -0.013122438876159225, 0.0030070689608281214, -0.0005679028562351049, 0.00010508301139549136 ], [ 0.00010220831217140545, -0.0009893204512451078, -0.004564110689079629, 0.006332544989326403, 0.002034960169750037, -0.0026448643521000963, 0.00178937332394359, -0.00027154729608060884, 0.00007263037932747129 ], [ -0.0002310062098797314, -0.00002327648287924606, 0.0010630702532609631, -0.0013919145173265832, -0.0015459468043598106, 0.0003692178413653343, -0.00001185044765783733, -0.00009351643191249967, 0.00000972839134353276 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.013705723366898634, 0.0001007316428084308, -0.0008700189560988861, 0.00015305340463487446 ], [ -0.0001846381531447859, -0.00035377049960453656, 0.0020469214839310425, 0.05908363089536583, -0.1703576378588221, 0.043892595819789985, -0.006962644838494906, -0.00013227921311557603, -0.00005595584807548389 ], [ 0.0006543936000149117, 0.00040921296720610194, -0.002686262824626506, -0.03712462027740602, -0.0011623574544714075, 0.015133308284151879, -0.005990118489076046, 0.0014157319229224, -0.00012481215635880885 ], [ -0.00013245384067014804, -0.00032630346514943016, -0.004009263244588725, -0.000283875513939732, 0.00045163826236161266, 0.000031169139405697434, -0.001238564803136197, 0.0003917660009004712, -0.00007847056403462222 ], [ -0.00004982654655745999, -0.00013272123966539317, 0.0005718617720085928, 0.00019418408406302848, 0.0007376126675797234, 0.00012093575152201147, -0.00023657874709797182, 0.00009682396147879859, 0.0000020530184005827226 ] ]

DYbDYHusuSxw9pcGwrbFRvA

{"aspect_ratio": 9.960366451995782, "major_radius": 1.0, "max_elongation": 6.535749898038036, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0025402995120901144, 0.04333923506143431, 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": [[0.6842218942094115, 0.6842219905153678, 0.684224801509259, 0.6842428252063394, 0.6843056495079666, 0.6844647269779417, 0.6847959574145848, 0.6854003705684804, 0.6864031771854074, 0.6879514397633655, 0.6902106005396762, 0.6933600917583159, 0.6975882415413663, 0.7030866773554888, 0.7100444179225878, 0.7186418333434849, 0.7290446420934877, 0.741398102340055, 0.7558215436686153, 0.7724033737330489, 0.791196682525581, 0.8122155548405953, 0.8354321890403671, 0.8607749073668625, 0.8881271297264193, 0.9173273690402511, 0.9481702918311604, 0.9804088726218081, 1.0137576548536673, 1.0478971142806683, 1.0824791030053817, 1.1171333333346025, 1.151474840220314, 1.1851123389512437, 1.2176573706261569, 1.2487341013286635, 1.2779896112509699, 1.3051044764988773, 1.3298034078828471, 1.3518656661619497, 1.3711349198031142, 1.3875281461474929, 1.4010430950153594, 1.4117637273260113, 1.419862896904779, 1.425601337278131, 1.4293217001908554, 1.4314358680362544, 1.432402777704486, 1.4326917733994067, 1.4327193856514757], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.9027710323495395}

9.960366

1

6.53575

[ [ 0.6842218942094115, 0.6842219905153678, 0.684224801509259, 0.6842428252063394, 0.6843056495079666, 0.6844647269779417, 0.6847959574145848, 0.6854003705684804, 0.6864031771854074, 0.6879514397633655, 0.6902106005396762, 0.6933600917583159, 0.6975882415413663, 0.7030866773554888, 0.7100444179225878, 0.7186418333434849, 0.7290446420934877, 0.741398102340055, 0.7558215436686153, 0.7724033737330489, 0.791196682525581, 0.8122155548405953, 0.8354321890403671, 0.8607749073668625, 0.8881271297264193, 0.9173273690402511, 0.9481702918311604, 0.9804088726218081, 1.0137576548536673, 1.0478971142806683, 1.0824791030053817, 1.1171333333346025, 1.151474840220314, 1.1851123389512437, 1.2176573706261569, 1.2487341013286635, 1.2779896112509699, 1.3051044764988773, 1.3298034078828471, 1.3518656661619497, 1.3711349198031142, 1.3875281461474929, 1.4010430950153594, 1.4117637273260113, 1.419862896904779, 1.425601337278131, 1.4293217001908554, 1.4314358680362544, 1.432402777704486, 1.4326917733994067, 1.4327193856514757 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0025402995120901144, 0.04333923506143431, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.902771

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

DJUuecGSoTEqCN6SzAV7Hfq

null

false

null

false

DXD7HmvU6sVpTf62nMrmXJF

D9imwC52Y5rUuwDKikGjLNC

{"qi": 0.0022715005280501232, "vacuum_well": -0.10874341137093525, "aspect_ratio": 9.583000195823566, "max_elongation": 6.026471130752096, "average_triangularity": -0.5182805202212643, "axis_magnetic_mirror_ratio": 0.2596712208035743, "edge_magnetic_mirror_ratio": 0.30957018112271734, "aspect_ratio_over_edge_rotational_transform": 12.172885497642325, "flux_compression_in_regions_of_bad_curvature": 1.5036374591127248, "axis_rotational_transform_over_n_field_periods": 0.24678595202349232, "edge_rotational_transform_over_n_field_periods": 0.26241382121162166, "minimum_normalized_magnetic_gradient_scale_length": 7.92105119674609}

9.583

12.172885

-0.837063

0.259671

0.246786

0.30957

0.262414

1.503637

6.026471

7.921051

0.002272

-0.108743

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0038407592152980238,-0.027861352093932597,-0.002317057597779491,0.0002585108519190492],[0.0006029853053221801,-0.0020787807100219277,0.019507580008284564,-0.09260933648119445,0.09590261780798122,0.018331585058233887,0.0024026120819125654,-0.00027736164545295666,0.00010849555384187873],[-0.0002240758319106889,0.0010432291548570778,-0.009248380096274322,0.0029968730738527774,-0.014829644076381352,0.0009017006318637983,-0.0018393334772623662,-0.00018034765108848648,0.0000489677332328814],[0.000029975959395801285,-0.001795057281551742,0.005398584061936494,-0.0015029650201982294,0.00004508427963882536,-0.0015927281175823103,-0.00034432045868247824,0.00018328560451369707,0.00005095515218269546],[-0.0000858070041618355,0.0002475524641680041,-0.0002568002194808556,-0.00012493731777114565,-0.00006058168772728189,-0.0000772848655177438,-0.00012004345920688326,0.00007393053295234753,0.000022883275843621617]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14796224071558928,0.015185473548076015,0.0021615518175253025,0.00043503374075173386],[0.0010876946935429086,-0.0065602972594603695,0.024527707366830923,-0.04847504249329489,-0.16823661055667782,-0.00799975781837338,-0.001752578686171605,-0.0005332673709065264,-0.000059511421432860445],[-0.00024349182618888912,0.002265146955461476,-0.011864799399695064,0.003602199231254062,-0.006912364154577576,-0.004481923602162388,0.0020786039968472055,-0.0003106150164672479,-0.000170558432579587],[-0.000034770056483085835,0.0004571543283685977,-0.0010977760391085284,0.0043404683014369025,-0.0002547022879174779,0.0008251725782286352,-0.00006165340707712033,-0.000010931096208188166,0.00002512440344315361],[0.00006058233373923351,-0.00020666744240752016,-0.0004900985392068515,0.000111223618679856,-9.970081292534107e-6,0.00012933139009133917,0.00009853906802404373,-0.000043027535433244054,0.000011446068322747442]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.0038407592152980238, -0.027861352093932597, -0.002317057597779491, 0.0002585108519190492 ], [ 0.0006029853053221801, -0.0020787807100219277, 0.019507580008284564, -0.09260933648119445, 0.09590261780798122, 0.018331585058233887, 0.0024026120819125654, -0.00027736164545295666, 0.00010849555384187873 ], [ -0.0002240758319106889, 0.0010432291548570778, -0.009248380096274322, 0.0029968730738527774, -0.014829644076381352, 0.0009017006318637983, -0.0018393334772623662, -0.00018034765108848648, 0.0000489677332328814 ], [ 0.000029975959395801285, -0.001795057281551742, 0.005398584061936494, -0.0015029650201982294, 0.00004508427963882536, -0.0015927281175823103, -0.00034432045868247824, 0.00018328560451369707, 0.00005095515218269546 ], [ -0.0000858070041618355, 0.0002475524641680041, -0.0002568002194808556, -0.00012493731777114565, -0.00006058168772728189, -0.0000772848655177438, -0.00012004345920688326, 0.00007393053295234753, 0.000022883275843621617 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14796224071558928, 0.015185473548076015, 0.0021615518175253025, 0.00043503374075173386 ], [ 0.0010876946935429086, -0.0065602972594603695, 0.024527707366830923, -0.04847504249329489, -0.16823661055667782, -0.00799975781837338, -0.001752578686171605, -0.0005332673709065264, -0.000059511421432860445 ], [ -0.00024349182618888912, 0.002265146955461476, -0.011864799399695064, 0.003602199231254062, -0.006912364154577576, -0.004481923602162388, 0.0020786039968472055, -0.0003106150164672479, -0.000170558432579587 ], [ -0.000034770056483085835, 0.0004571543283685977, -0.0010977760391085284, 0.0043404683014369025, -0.0002547022879174779, 0.0008251725782286352, -0.00006165340707712033, -0.000010931096208188166, 0.00002512440344315361 ], [ 0.00006058233373923351, -0.00020666744240752016, -0.0004900985392068515, 0.000111223618679856, -0.000009970081292534107, 0.00012933139009133917, 0.00009853906802404373, -0.000043027535433244054, 0.000011446068322747442 ] ]

DP6L5fKUpirD3R3pLJrRagN

{"aspect_ratio": 10.043497710214547, "major_radius": 1.0, "max_elongation": 5.81464131673002, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.08445241824126856, 0.040514770542818365, 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": [[0.7186319818397244, 0.718632181542329, 0.7186380395013651, 0.7186752678279511, 0.7188029967276646, 0.7191200423933268, 0.7197653661604447, 0.7209140143511393, 0.7227697205914353, 0.7255552287250953, 0.7295012678396638, 0.7348349861014177, 0.7417685292753275, 0.7504883341803057, 0.7611455976155447, 0.7738482779527631, 0.7886548899369606, 0.8055702634995827, 0.8245433547287078, 0.8454671216868119, 0.8681804096154349, 0.8924717292945277, 0.9180847589937781, 0.944725354613022, 0.9720698142986952, 0.9997741130749696, 1.0274837998670503, 1.0548442337396984, 1.081510828240897, 1.1071589724387128, 1.131493304574302, 1.1542560292269768, 1.1752339914952143, 1.1942642519327327, 1.2112379438286527, 1.2261022398670054, 1.2388603082185812, 1.2495691986746347, 1.2583356674847697, 1.2653100250555016, 1.2706781735301438, 1.2746520914110786, 1.2774591196768812, 1.2793305081176634, 1.2804897916198148, 1.2811416835183713, 1.2814622963442643, 1.2815916283911915, 1.2816293857839876, 1.2816353404353609, 1.281635544158526], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7525324997563461}

10.043498

1

5.814641

[ [ 0.7186319818397244, 0.718632181542329, 0.7186380395013651, 0.7186752678279511, 0.7188029967276646, 0.7191200423933268, 0.7197653661604447, 0.7209140143511393, 0.7227697205914353, 0.7255552287250953, 0.7295012678396638, 0.7348349861014177, 0.7417685292753275, 0.7504883341803057, 0.7611455976155447, 0.7738482779527631, 0.7886548899369606, 0.8055702634995827, 0.8245433547287078, 0.8454671216868119, 0.8681804096154349, 0.8924717292945277, 0.9180847589937781, 0.944725354613022, 0.9720698142986952, 0.9997741130749696, 1.0274837998670503, 1.0548442337396984, 1.081510828240897, 1.1071589724387128, 1.131493304574302, 1.1542560292269768, 1.1752339914952143, 1.1942642519327327, 1.2112379438286527, 1.2261022398670054, 1.2388603082185812, 1.2495691986746347, 1.2583356674847697, 1.2653100250555016, 1.2706781735301438, 1.2746520914110786, 1.2774591196768812, 1.2793305081176634, 1.2804897916198148, 1.2811416835183713, 1.2814622963442643, 1.2815916283911915, 1.2816293857839876, 1.2816353404353609, 1.281635544158526 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.08445241824126856, 0.040514770542818365, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.752532

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

DCpBSpSy6zPrLqq93gBDHYk

null

false

null

false

D8mF3H7uxMFzuHTwwzATK6L

DjdUnH9YeSM2cQExVwb2Czz

{"qi": 0.008726580099167, "vacuum_well": -0.17643098035298968, "aspect_ratio": 10.062405258274945, "max_elongation": 3.5605085278540685, "average_triangularity": -0.40104679012493116, "axis_magnetic_mirror_ratio": 0.20346061969539042, "edge_magnetic_mirror_ratio": 0.28837179724643724, "aspect_ratio_over_edge_rotational_transform": 21.278535194767965, "flux_compression_in_regions_of_bad_curvature": 0.7279894067280396, "axis_rotational_transform_over_n_field_periods": 0.11917370403837593, "edge_rotational_transform_over_n_field_periods": 0.09457798825126948, "minimum_normalized_magnetic_gradient_scale_length": 6.143208827363546}

10.062405

21.278535

-0.779156

0.203461

0.119174

0.288372

0.094578

0.727989

3.560509

6.143209

0.008727

-0.176431

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.04659880492799974,-0.0035027591006112383,0.002210105861980731,0.000042195357420008166],[-0.0006499711663096048,0.0011084226144783124,0.016267526513369834,-0.0007899556356035474,0.08490145756152076,-0.012351801602190427,-0.0058681112044464126,0.0011636537833983442,-0.0007190386614798151],[-0.0002956758819182779,-0.004257170522474107,-0.013303312693718816,0.017525072592327804,-0.007957055786431286,0.0006382357092619036,-0.0016391899727924578,0.0009757097831368804,-0.00014114729084270934],[-0.00044449165310858337,0.0010979577469249944,0.006346306970997641,-0.002497150597256635,0.0028202385955933967,-0.0007366843902415709,-0.00017984221119906815,0.00014925584194148115,-0.00005516463453746371],[0.000250078185043713,0.0002883588898579433,-0.0011635001048849705,0.0005251436100367894,-0.00041795931684092424,0.0003426090473389264,-0.0004015422713352597,0.00030990845742409043,-0.00007412993715055474]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.018515855933242117,0.0007427078778255479,0.00024085700245768523,-0.00015678601939215359],[-0.0003251397394383631,0.0006375868285162965,0.01635033149567635,-0.02984785641884595,-0.1248909643659772,0.04996216027432958,-0.003785126702619419,-0.0008752927058042214,0.00036306769467008807],[-0.00032558836193268405,-0.004036744304025293,-0.019375176132637353,0.002335692867500151,-0.008136120306573985,0.0015807220617133947,0.0021837938790671627,-0.0015833023164109697,0.00034500443240072687],[-0.00015101619707798947,0.00040039256412849084,0.003220965235028351,-0.004250525389880843,0.0003712232394396789,-0.0008615026956131735,0.0005823585543302022,-0.00018353719281227006,-0.000036360188368987533],[-0.000010075700257485476,-0.00035351430708602163,-0.0005353377582793242,-0.0001807502305230409,-0.00024460918361560646,0.00013955964967594697,-0.00003193531129682629,-0.00012563099494346613,0.00002017787514384836]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.04659880492799974, -0.0035027591006112383, 0.002210105861980731, 0.000042195357420008166 ], [ -0.0006499711663096048, 0.0011084226144783124, 0.016267526513369834, -0.0007899556356035474, 0.08490145756152076, -0.012351801602190427, -0.0058681112044464126, 0.0011636537833983442, -0.0007190386614798151 ], [ -0.0002956758819182779, -0.004257170522474107, -0.013303312693718816, 0.017525072592327804, -0.007957055786431286, 0.0006382357092619036, -0.0016391899727924578, 0.0009757097831368804, -0.00014114729084270934 ], [ -0.00044449165310858337, 0.0010979577469249944, 0.006346306970997641, -0.002497150597256635, 0.0028202385955933967, -0.0007366843902415709, -0.00017984221119906815, 0.00014925584194148115, -0.00005516463453746371 ], [ 0.000250078185043713, 0.0002883588898579433, -0.0011635001048849705, 0.0005251436100367894, -0.00041795931684092424, 0.0003426090473389264, -0.0004015422713352597, 0.00030990845742409043, -0.00007412993715055474 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.018515855933242117, 0.0007427078778255479, 0.00024085700245768523, -0.00015678601939215359 ], [ -0.0003251397394383631, 0.0006375868285162965, 0.01635033149567635, -0.02984785641884595, -0.1248909643659772, 0.04996216027432958, -0.003785126702619419, -0.0008752927058042214, 0.00036306769467008807 ], [ -0.00032558836193268405, -0.004036744304025293, -0.019375176132637353, 0.002335692867500151, -0.008136120306573985, 0.0015807220617133947, 0.0021837938790671627, -0.0015833023164109697, 0.00034500443240072687 ], [ -0.00015101619707798947, 0.00040039256412849084, 0.003220965235028351, -0.004250525389880843, 0.0003712232394396789, -0.0008615026956131735, 0.0005823585543302022, -0.00018353719281227006, -0.000036360188368987533 ], [ -0.000010075700257485476, -0.00035351430708602163, -0.0005353377582793242, -0.0001807502305230409, -0.00024460918361560646, 0.00013955964967594697, -0.00003193531129682629, -0.00012563099494346613, 0.00002017787514384836 ] ]

DcHSScUrDEbaevzNHSVw96t

{"aspect_ratio": 9.957653404774124, "major_radius": 1.0, "max_elongation": 5.377974404525497, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09201493680857818, 0.054717262672010804, 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": [[0.8454360825056293, 0.8454360936357128, 0.8454364274035308, 0.845438633459756, 0.8454465754854233, 0.8454673723640782, 0.8455122015734086, 0.8455969684788129, 0.8457428438389148, 0.8459766711978781, 0.8463312454860035, 0.8468454639329315, 0.8475643502562514, 0.8485389529930477, 0.8498261187772397, 0.8514881413224691, 0.8535922868434089, 0.8562101966343972, 0.8594171675212685, 0.8632913109090526, 0.8679125911643492, 0.8733617440967063, 0.8797190763387234, 0.8870631464707823, 0.8954693287947357, 0.9050082607335262, 0.9157441749233072, 0.9277331171747926, 0.9410210516161243, 0.9556418544969473, 0.9716151983413499, 0.9889443283976642, 1.0076137336621707, 1.0275867151743046, 1.0488028548254964, 1.071175388639275, 1.0945884894363371, 1.1188944651002881, 1.1439108804716347, 1.1694176134821002, 1.1951538599341827, 1.2208151070840345, 1.246050105257793, 1.2704578817152286, 1.2935848671553074, 1.3149222543242096, 1.333903808811658, 1.3499045850730385, 1.362241643014734, 1.3701802191338213, 1.3729665505361646], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5055790999853935}

9.957653

1

5.377974

[ [ 0.8454360825056293, 0.8454360936357128, 0.8454364274035308, 0.845438633459756, 0.8454465754854233, 0.8454673723640782, 0.8455122015734086, 0.8455969684788129, 0.8457428438389148, 0.8459766711978781, 0.8463312454860035, 0.8468454639329315, 0.8475643502562514, 0.8485389529930477, 0.8498261187772397, 0.8514881413224691, 0.8535922868434089, 0.8562101966343972, 0.8594171675212685, 0.8632913109090526, 0.8679125911643492, 0.8733617440967063, 0.8797190763387234, 0.8870631464707823, 0.8954693287947357, 0.9050082607335262, 0.9157441749233072, 0.9277331171747926, 0.9410210516161243, 0.9556418544969473, 0.9716151983413499, 0.9889443283976642, 1.0076137336621707, 1.0275867151743046, 1.0488028548254964, 1.071175388639275, 1.0945884894363371, 1.1188944651002881, 1.1439108804716347, 1.1694176134821002, 1.1951538599341827, 1.2208151070840345, 1.246050105257793, 1.2704578817152286, 1.2935848671553074, 1.3149222543242096, 1.333903808811658, 1.3499045850730385, 1.362241643014734, 1.3701802191338213, 1.3729665505361646 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.09201493680857818, 0.054717262672010804, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.505579

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

DAL85zmBi7JQP9Zf4hvr9FB

null

false

null

false

Dh9XP3d6NqVjvX34caWCCZi

DZbAXEH6BJzppL2RRS7abre

{"qi": 0.005153990714796705, "vacuum_well": -0.07102443356772978, "aspect_ratio": 8.347070398264815, "max_elongation": 7.752634258831152, "average_triangularity": 0.008491003746778494, "axis_magnetic_mirror_ratio": 0.48857068351443156, "edge_magnetic_mirror_ratio": 0.5635926043382427, "aspect_ratio_over_edge_rotational_transform": -12.817909924919004, "flux_compression_in_regions_of_bad_curvature": 1.9716609107827385, "axis_rotational_transform_over_n_field_periods": -0.5544898143065293, "edge_rotational_transform_over_n_field_periods": -0.651203702253943, "minimum_normalized_magnetic_gradient_scale_length": 2.876077228519653}

8.34707

-12.81791

0.107579

0.488571

-0.55449

0.563593

-0.651204

1.971661

7.752634

2.876077

0.005154

-0.071024

{"r_cos":[[0.0,0.0,0.0,0.0,0.9935561360718724,0.00830464098944553,-0.20271699504784507,-0.002528651460112115,-0.000159424093817021],[0.0011122595238616535,-0.002875080122554467,0.0020318648981484597,0.04885496688943475,-0.1222789855035677,-0.017388056030625862,-0.1031387972332577,0.02132107230882213,-0.003708115425782142],[-0.0002702661948451012,-0.00006619538517652361,0.00021246301413364171,0.0022098583946203185,-0.005436263129424478,0.0005930267911800322,-0.005169743509957469,0.0012504238796834035,0.0003794025239112342],[0.0004924982110654347,-0.0009980578709937503,-0.000740487931182355,0.001015392662400227,0.00015072067029122988,0.0003879880723150782,0.0012961324993887827,0.0011691327951020751,0.003219785020043194],[-0.00005607954405966879,0.00005622870813006907,-0.00023780220198379008,0.00033930931541180647,-0.0005374436338395887,0.0006480603128740755,-0.0004937548147717928,0.00018020285642489494,-0.0005755314047144525]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.18992179652398844,-0.21731482015112866,-0.005155021869162437,0.003661692177794167],[0.005055755773152152,-0.004993217168052427,0.007632184911069956,-0.06232754896931776,0.1795614347614005,0.020805710242837182,-0.11179535154105308,0.029156128087472727,-0.0008692168781608682],[-0.00011435239639835573,-0.00010717075621855222,-0.0003381151216671781,-0.002422667031026154,0.0033794909304464557,0.0009572617344309487,-0.00017726024360924827,-0.0001024039353498022,0.0011027722421108757],[-0.0006360073453716265,0.0016258685531417103,0.0006910131478638244,-0.005059396206662066,0.000697291896113182,0.005635261285678238,-0.009581165324987456,-0.0014300032235166939,0.0028053379806094814],[-2.0882756786851997e-6,-0.00009200443231725724,0.00019506560340811483,-0.0002438405911124641,0.0001694376145494518,-0.00032889312304708584,0.0005045106053769616,0.00015072748817028165,-0.0005387281524608906]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9935561360718724, 0.00830464098944553, -0.20271699504784507, -0.002528651460112115, -0.000159424093817021 ], [ 0.0011122595238616535, -0.002875080122554467, 0.0020318648981484597, 0.04885496688943475, -0.1222789855035677, -0.017388056030625862, -0.1031387972332577, 0.02132107230882213, -0.003708115425782142 ], [ -0.0002702661948451012, -0.00006619538517652361, 0.00021246301413364171, 0.0022098583946203185, -0.005436263129424478, 0.0005930267911800322, -0.005169743509957469, 0.0012504238796834035, 0.0003794025239112342 ], [ 0.0004924982110654347, -0.0009980578709937503, -0.000740487931182355, 0.001015392662400227, 0.00015072067029122988, 0.0003879880723150782, 0.0012961324993887827, 0.0011691327951020751, 0.003219785020043194 ], [ -0.00005607954405966879, 0.00005622870813006907, -0.00023780220198379008, 0.00033930931541180647, -0.0005374436338395887, 0.0006480603128740755, -0.0004937548147717928, 0.00018020285642489494, -0.0005755314047144525 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.18992179652398844, -0.21731482015112866, -0.005155021869162437, 0.003661692177794167 ], [ 0.005055755773152152, -0.004993217168052427, 0.007632184911069956, -0.06232754896931776, 0.1795614347614005, 0.020805710242837182, -0.11179535154105308, 0.029156128087472727, -0.0008692168781608682 ], [ -0.00011435239639835573, -0.00010717075621855222, -0.0003381151216671781, -0.002422667031026154, 0.0033794909304464557, 0.0009572617344309487, -0.00017726024360924827, -0.0001024039353498022, 0.0011027722421108757 ], [ -0.0006360073453716265, 0.0016258685531417103, 0.0006910131478638244, -0.005059396206662066, 0.000697291896113182, 0.005635261285678238, -0.009581165324987456, -0.0014300032235166939, 0.0028053379806094814 ], [ -0.0000020882756786851997, -0.00009200443231725724, 0.00019506560340811483, -0.0002438405911124641, 0.0001694376145494518, -0.00032889312304708584, 0.0005045106053769616, 0.00015072748817028165, -0.0005387281524608906 ] ]

D827UgRWVJZdb2eKCFaATwU

{"aspect_ratio": 6.843827209183295, "major_radius": 1.0, "max_elongation": 4.714460743482071, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05036100503706335, 0.10864322224241849, 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": [[0.8229807568561847, 0.8229912512571345, 0.8230885161580805, 0.8233939504501508, 0.8240388829999876, 0.8251520933985007, 0.8268529872669982, 0.8292473780135043, 0.8324248240253151, 0.8364570147364104, 0.8413969167915566, 0.8472784969835715, 0.8541168963508111, 0.8619089642616335, 0.870634083243152, 0.8802552299992996, 0.8907202283036632, 0.9019631568283432, 0.9139058804253632, 0.9264596774999062, 0.9395269392847633, 0.9530029192957689, 0.9667775131914937, 0.9807370507976526, 0.9947660832731032, 1.0087491493512384, 1.0225725053321582, 1.0361258040587187, 1.0493037085052817, 1.0620074258559604, 1.07414614805708, 1.085638384798234, 1.096413174703609, 1.1064111601896502, 1.115585510948647, 1.1239026803229302, 1.1313429779010717, 1.137900940438227, 1.1435854815948245, 1.1484197988807874, 1.152441013407581, 1.155699514315406, 1.1582579746292159, 1.160189998102989, 1.1615783461290863, 1.1625126778110908, 1.163086710466763, 1.1633946626292895, 1.1635267531627425, 1.163563324153429, 1.1635664825616385], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.18546094349324804}

6.843827

1

4.714461

[ [ 0.8229807568561847, 0.8229912512571345, 0.8230885161580805, 0.8233939504501508, 0.8240388829999876, 0.8251520933985007, 0.8268529872669982, 0.8292473780135043, 0.8324248240253151, 0.8364570147364104, 0.8413969167915566, 0.8472784969835715, 0.8541168963508111, 0.8619089642616335, 0.870634083243152, 0.8802552299992996, 0.8907202283036632, 0.9019631568283432, 0.9139058804253632, 0.9264596774999062, 0.9395269392847633, 0.9530029192957689, 0.9667775131914937, 0.9807370507976526, 0.9947660832731032, 1.0087491493512384, 1.0225725053321582, 1.0361258040587187, 1.0493037085052817, 1.0620074258559604, 1.07414614805708, 1.085638384798234, 1.096413174703609, 1.1064111601896502, 1.115585510948647, 1.1239026803229302, 1.1313429779010717, 1.137900940438227, 1.1435854815948245, 1.1484197988807874, 1.152441013407581, 1.155699514315406, 1.1582579746292159, 1.160189998102989, 1.1615783461290863, 1.1625126778110908, 1.163086710466763, 1.1633946626292895, 1.1635267531627425, 1.163563324153429, 1.1635664825616385 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05036100503706335, 0.10864322224241849, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.185461

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

D3SdrwfTMoiv7uAWcXR9YBU

null

false

null

false

D5M4PD2M97g3emDExk3b9FS

D3h47S4BVRji5UDkL33VhWU

{"qi": 0.009041782494110494, "vacuum_well": -0.11639025788815735, "aspect_ratio": 8.96940764226534, "max_elongation": 6.152576894616793, "average_triangularity": -0.060830035645295655, "axis_magnetic_mirror_ratio": 0.31374622419018905, "edge_magnetic_mirror_ratio": 0.3860564591697632, "aspect_ratio_over_edge_rotational_transform": 14.996992997989096, "flux_compression_in_regions_of_bad_curvature": 1.1409781288138543, "axis_rotational_transform_over_n_field_periods": 0.14775425274064324, "edge_rotational_transform_over_n_field_periods": 0.11961608094993473, "minimum_normalized_magnetic_gradient_scale_length": 5.845287692876889}

8.969408

14.996993

-0.367675

0.313746

0.147754

0.386056

0.119616

1.140978

6.152577

5.845288

0.009042

-0.11639

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.013215463757739788,-0.01931794825761128,0.00007211225774428343,0.0005392531601160999],[0.000695366871533805,-0.0005755699082677977,-0.004083961063146622,0.04287705440620084,0.12034802873956654,-0.027120283262579682,-0.00191252560764224,0.0011638071233635232,-0.000695706315459827],[0.00020699858273363954,0.00036162810870813506,0.005987732107744214,-0.0267958812086741,-0.05087829959218399,0.0061043301721458165,-0.0007085740277443841,-0.00040273711616147304,-0.00001570741756989788],[-0.00009003004618940166,-0.0003452484033446608,-0.0010553320688242976,0.010909328870551864,0.006354441388272616,-0.004153513552062818,0.0007704723098802243,-0.00011103715589888895,0.00011952994096378298],[-0.000014849078543356328,0.0001573987026551146,-0.0005881188125898938,-0.0021281304174602667,0.000697261272503566,0.001319510197785449,-0.000048207539153309,0.00009980083724008031,0.0000848612420890942]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07618671285317645,0.007800708718816605,0.001281363915696218,0.000292018873223188],[0.0001500524297260905,0.0022913438734193433,0.01060614454169688,0.057412238607081625,-0.12158799313089742,-0.023806398038637547,0.002271585953891964,-0.0004902493546329461,0.00021814416678076664],[0.0002464825335510952,-0.001806626887902198,-0.002740287079787057,-0.032836019157054856,0.020112932803706466,0.01148429654090962,0.0010326083212762295,0.000054291275143939356,-0.00010024994426767731],[0.00007205789252380334,0.00026690905125895646,0.0021248696524887806,0.004271583465662282,-0.0015178378894722126,0.001152019181906888,-0.0012304693284801663,0.0006739404269564608,-0.00014866022302907652],[0.000032773940378115864,-0.0002775983988827944,-0.00021474191999084344,-0.00035568239933174385,0.0009178488559195972,-0.0008534558128009888,0.00015845126363633747,-0.00005992667921941184,-0.00009677155901910314]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.013215463757739788, -0.01931794825761128, 0.00007211225774428343, 0.0005392531601160999 ], [ 0.000695366871533805, -0.0005755699082677977, -0.004083961063146622, 0.04287705440620084, 0.12034802873956654, -0.027120283262579682, -0.00191252560764224, 0.0011638071233635232, -0.000695706315459827 ], [ 0.00020699858273363954, 0.00036162810870813506, 0.005987732107744214, -0.0267958812086741, -0.05087829959218399, 0.0061043301721458165, -0.0007085740277443841, -0.00040273711616147304, -0.00001570741756989788 ], [ -0.00009003004618940166, -0.0003452484033446608, -0.0010553320688242976, 0.010909328870551864, 0.006354441388272616, -0.004153513552062818, 0.0007704723098802243, -0.00011103715589888895, 0.00011952994096378298 ], [ -0.000014849078543356328, 0.0001573987026551146, -0.0005881188125898938, -0.0021281304174602667, 0.000697261272503566, 0.001319510197785449, -0.000048207539153309, 0.00009980083724008031, 0.0000848612420890942 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07618671285317645, 0.007800708718816605, 0.001281363915696218, 0.000292018873223188 ], [ 0.0001500524297260905, 0.0022913438734193433, 0.01060614454169688, 0.057412238607081625, -0.12158799313089742, -0.023806398038637547, 0.002271585953891964, -0.0004902493546329461, 0.00021814416678076664 ], [ 0.0002464825335510952, -0.001806626887902198, -0.002740287079787057, -0.032836019157054856, 0.020112932803706466, 0.01148429654090962, 0.0010326083212762295, 0.000054291275143939356, -0.00010024994426767731 ], [ 0.00007205789252380334, 0.00026690905125895646, 0.0021248696524887806, 0.004271583465662282, -0.0015178378894722126, 0.001152019181906888, -0.0012304693284801663, 0.0006739404269564608, -0.00014866022302907652 ], [ 0.000032773940378115864, -0.0002775983988827944, -0.00021474191999084344, -0.00035568239933174385, 0.0009178488559195972, -0.0008534558128009888, 0.00015845126363633747, -0.00005992667921941184, -0.00009677155901910314 ] ]

DCM3F5cPTSjzcgUtGawRctZ

{"aspect_ratio": 8.162062168111607, "major_radius": 1.0, "max_elongation": 5.825002053357316, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2919878730690759, -0.0937501019882819, 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": [[0.7572179555231173, 0.7572187955088964, 0.7572317612753917, 0.7572880629181287, 0.7574379949672866, 0.7577483907488873, 0.7582998542899094, 0.7591839321945856, 0.7605002986360694, 0.7623539955618078, 0.7648527558272579, 0.7681044292230896, 0.7722145267650421, 0.7772838957059485, 0.7834065358030737, 0.7906675660613254, 0.7991413502660294, 0.8088897889942848, 0.8199607853751791, 0.8323868916081005, 0.8461841431142009, 0.8613510871693556, 0.8778680129363043, 0.8956963899735682, 0.914778522548516, 0.9350374274252171, 0.9563769432422695, 0.978682080154024, 1.0018196190981925, 1.0256389708979696, 1.0499733064401158, 1.074640970435731, 1.0994471928266605, 1.1241861138277074, 1.1486431410032083, 1.1725976598197856, 1.1958261230135334, 1.218105549176106, 1.2392174676697802, 1.2589523560422735, 1.2771146286519595, 1.2935282530621697, 1.3080430970199588, 1.320542149018121, 1.3309498199621597, 1.3392416434453225, 1.3454558945087916, 1.3497080592297934, 1.352210059876169, 1.353299031487758, 1.353494719669867], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6953454382546974}

8.162062

1

5.825002

[ [ 0.7572179555231173, 0.7572187955088964, 0.7572317612753917, 0.7572880629181287, 0.7574379949672866, 0.7577483907488873, 0.7582998542899094, 0.7591839321945856, 0.7605002986360694, 0.7623539955618078, 0.7648527558272579, 0.7681044292230896, 0.7722145267650421, 0.7772838957059485, 0.7834065358030737, 0.7906675660613254, 0.7991413502660294, 0.8088897889942848, 0.8199607853751791, 0.8323868916081005, 0.8461841431142009, 0.8613510871693556, 0.8778680129363043, 0.8956963899735682, 0.914778522548516, 0.9350374274252171, 0.9563769432422695, 0.978682080154024, 1.0018196190981925, 1.0256389708979696, 1.0499733064401158, 1.074640970435731, 1.0994471928266605, 1.1241861138277074, 1.1486431410032083, 1.1725976598197856, 1.1958261230135334, 1.218105549176106, 1.2392174676697802, 1.2589523560422735, 1.2771146286519595, 1.2935282530621697, 1.3080430970199588, 1.320542149018121, 1.3309498199621597, 1.3392416434453225, 1.3454558945087916, 1.3497080592297934, 1.352210059876169, 1.353299031487758, 1.353494719669867 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2919878730690759, -0.0937501019882819, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.695345

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

DMehk5MKAqopfJ3UTeXn5Yr

null

false

null

false

DNvgBHYmVCngCxWX9FDJVtU

D7zuLmGEeErjtPLmeM4ahFU

{"qi": 0.005075569196445758, "vacuum_well": 0.08268676929603551, "aspect_ratio": 9.567480908313675, "max_elongation": 5.5911455003708825, "average_triangularity": 0.27610001300749, "axis_magnetic_mirror_ratio": 0.26074369771108546, "edge_magnetic_mirror_ratio": 0.3084845955684032, "aspect_ratio_over_edge_rotational_transform": 85.68585393143375, "flux_compression_in_regions_of_bad_curvature": 0.6744703695093881, "axis_rotational_transform_over_n_field_periods": 0.11308178209709194, "edge_rotational_transform_over_n_field_periods": 0.11165764790031293, "minimum_normalized_magnetic_gradient_scale_length": 3.579144595770741}

9.567481

85.685854

0.524616

0.260744

0.113082

0.308485

0.111658

0.67447

5.591146

3.579145

0.005076

0.082687

{"r_cos":[[0.0,0.0,0.0,0.0,0.9962185987154737,-0.01280268436906757,-0.19056787344076231,-0.0021685778262562905,0.011846104553854398],[0.0006855728586012208,-0.02827184902777234,0.01977163229802602,0.014677346256215272,0.07088795278716255,-0.02837147489921959,0.042064077460886,-0.009078662400144656,-0.0022110280931732437],[0.0011355425625559604,-0.0013445409776511278,0.012353634373070793,0.014835566451939697,-0.013973197694429701,-0.011455662053815192,-0.005220962932796889,0.003549326860941499,-0.0007561127173638752],[-0.00003254406212953206,0.0027439644719856283,-0.003949490809160479,-0.00972065963343205,0.0032974481877267067,0.0061278429686414185,0.0005967716307709375,-0.0017340445446702045,0.0002626839957262826],[-0.0007002404528680204,-0.0003160442664912008,0.0023248672987145956,-0.0003211997676342048,-0.0014432789528416004,0.0006676896564587606,-0.00036287254474016853,0.00008058026585494718,-0.00010569262811736027]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.13376475840989993,-0.04134414333309383,-0.008288087751080867,0.011611804358893692],[0.0007519028195310709,-0.004901747375229685,0.037593130360158204,-0.09813752875300583,-0.1129582248199714,0.08863132111444819,-0.005349967316667058,0.0003858281923304471,0.00047052895257544794],[0.001194297372991974,0.0008647511881751062,0.008391667103493263,-0.0017694373889164767,0.0007280860352217593,-0.00017154585473824855,0.004657988345824508,0.0009357072390872688,-0.00015250540674509718],[-0.0002541018027433827,-0.00031236534833735104,-0.0051329551906994265,0.0007293250742604676,0.007302109912716368,-0.00018394811276670648,-0.001784498408055238,-0.00017430980762056267,0.00025872734686515025],[0.00007605914558951487,0.000987649775078118,0.00018938625431498416,-0.001576728024739767,0.00030112361998042543,-0.0002532184925319609,0.00008710886666927825,-0.000100968826775328,0.000046592000495285694]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9962185987154737, -0.01280268436906757, -0.19056787344076231, -0.0021685778262562905, 0.011846104553854398 ], [ 0.0006855728586012208, -0.02827184902777234, 0.01977163229802602, 0.014677346256215272, 0.07088795278716255, -0.02837147489921959, 0.042064077460886, -0.009078662400144656, -0.0022110280931732437 ], [ 0.0011355425625559604, -0.0013445409776511278, 0.012353634373070793, 0.014835566451939697, -0.013973197694429701, -0.011455662053815192, -0.005220962932796889, 0.003549326860941499, -0.0007561127173638752 ], [ -0.00003254406212953206, 0.0027439644719856283, -0.003949490809160479, -0.00972065963343205, 0.0032974481877267067, 0.0061278429686414185, 0.0005967716307709375, -0.0017340445446702045, 0.0002626839957262826 ], [ -0.0007002404528680204, -0.0003160442664912008, 0.0023248672987145956, -0.0003211997676342048, -0.0014432789528416004, 0.0006676896564587606, -0.00036287254474016853, 0.00008058026585494718, -0.00010569262811736027 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.13376475840989993, -0.04134414333309383, -0.008288087751080867, 0.011611804358893692 ], [ 0.0007519028195310709, -0.004901747375229685, 0.037593130360158204, -0.09813752875300583, -0.1129582248199714, 0.08863132111444819, -0.005349967316667058, 0.0003858281923304471, 0.00047052895257544794 ], [ 0.001194297372991974, 0.0008647511881751062, 0.008391667103493263, -0.0017694373889164767, 0.0007280860352217593, -0.00017154585473824855, 0.004657988345824508, 0.0009357072390872688, -0.00015250540674509718 ], [ -0.0002541018027433827, -0.00031236534833735104, -0.0051329551906994265, 0.0007293250742604676, 0.007302109912716368, -0.00018394811276670648, -0.001784498408055238, -0.00017430980762056267, 0.00025872734686515025 ], [ 0.00007605914558951487, 0.000987649775078118, 0.00018938625431498416, -0.001576728024739767, 0.00030112361998042543, -0.0002532184925319609, 0.00008710886666927825, -0.000100968826775328, 0.000046592000495285694 ] ]

DGLmE8XS9Tb22M8SFaWjgGu

{"aspect_ratio": 11.167316007279833, "major_radius": 1.0, "max_elongation": 5.470119823796048, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.3134867343117192, -0.07837497373989297, 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": [[0.809970653386908, 0.8099706579159595, 0.8099708629046267, 0.8099725967320908, 0.809979985557824, 0.8100018871823215, 0.8100538254630296, 0.8101597609030591, 0.8103535835786579, 0.8106802475694944, 0.8111964904481553, 0.8119711007483176, 0.8130847124269204, 0.8146291191484495, 0.8167061133480475, 0.8194258658628057, 0.8229048717212345, 0.8272634966358572, 0.8326231669883519, 0.839103253731066, 0.8468177077285525, 0.855871510685343, 0.8663570119948254, 0.8783502276312061, 0.891907182615362, 0.9070603836313104, 0.9238155130612464, 0.9421484400448198, 0.9620026481465742, 0.9832871828203867, 1.0058752250683902, 1.0296034004702668, 1.0542719350591625, 1.0796457712768595, 1.105456758363078, 1.131407031898145, 1.1571736966535497, 1.182414925170921, 1.206777581243233, 1.229906472210303, 1.2514553259485601, 1.2710995764593884, 1.2885510241464626, 1.3035744100164792, 1.3160059014105228, 1.325773419501897, 1.3329186227533594, 1.3376201420978973, 1.3402171951173354, 1.3412314673177295, 1.3413800572036543], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.15348905680097877}

11.167316

1

5.47012

[ [ 0.809970653386908, 0.8099706579159595, 0.8099708629046267, 0.8099725967320908, 0.809979985557824, 0.8100018871823215, 0.8100538254630296, 0.8101597609030591, 0.8103535835786579, 0.8106802475694944, 0.8111964904481553, 0.8119711007483176, 0.8130847124269204, 0.8146291191484495, 0.8167061133480475, 0.8194258658628057, 0.8229048717212345, 0.8272634966358572, 0.8326231669883519, 0.839103253731066, 0.8468177077285525, 0.855871510685343, 0.8663570119948254, 0.8783502276312061, 0.891907182615362, 0.9070603836313104, 0.9238155130612464, 0.9421484400448198, 0.9620026481465742, 0.9832871828203867, 1.0058752250683902, 1.0296034004702668, 1.0542719350591625, 1.0796457712768595, 1.105456758363078, 1.131407031898145, 1.1571736966535497, 1.182414925170921, 1.206777581243233, 1.229906472210303, 1.2514553259485601, 1.2710995764593884, 1.2885510241464626, 1.3035744100164792, 1.3160059014105228, 1.325773419501897, 1.3329186227533594, 1.3376201420978973, 1.3402171951173354, 1.3412314673177295, 1.3413800572036543 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.3134867343117192, -0.07837497373989297, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.153489

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

DmXqAdyvq54KbWK4FuBdUpj

null

false

null

false

DgZHwN58ArwPi9dZ5VBi4gZ

DWoTdBAgJpvZ8M59EhzM4a9

{"qi": 0.02537710729338913, "vacuum_well": -0.19466739511862954, "aspect_ratio": 10.094967783730802, "max_elongation": 4.2072942370121265, "average_triangularity": -0.44586983661511326, "axis_magnetic_mirror_ratio": 0.1735342455518618, "edge_magnetic_mirror_ratio": 0.33187083122784483, "aspect_ratio_over_edge_rotational_transform": 10.445549978497628, "flux_compression_in_regions_of_bad_curvature": 0.9579160146333814, "axis_rotational_transform_over_n_field_periods": 0.29689108187318114, "edge_rotational_transform_over_n_field_periods": 0.1932874344483822, "minimum_normalized_magnetic_gradient_scale_length": 6.21698195521374}

10.094968

10.44555

-0.640576

0.173534

0.296891

0.331871

0.193287

0.957916

4.207294

6.216982

0.025377

-0.194667

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.026591235154010538,-0.004474218673633574,0.001577948152353131,-0.0002011354317072171],[0.0009605000525435117,-0.002207254695250018,0.04204320971391106,-0.04307971925039271,0.10388554022276922,-0.00018652809405588985,-0.004012644245890075,0.000146415955972498,-0.0000995390631373809],[-0.0004987582649679318,0.003263988360110259,-0.030202791650434907,0.010905698474540374,0.015472011376020701,0.00038633251408086693,-0.0022946144565089838,-0.00019099776186655166,0.00014828851782027817],[-0.00113372222188789,-0.002347580203431624,0.00553178879166051,0.003449894464437062,0.004061585349580513,-0.00016888436937664993,-0.0008958610772603981,-0.00011088807838719795,0.00008506611511788003],[0.0005664428109351978,0.0005396799989137482,0.00021948258053010962,0.00039536108178440856,0.000882409898339874,0.00019206052451804182,-0.0000810004339267174,0.00004098514249433708,0.00002711709996229382]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04626586886227714,0.007087116347977429,-0.0007894586704900884,0.0003282687256951754],[0.0005715797931355314,-0.005498298169798201,0.035095718626477215,-0.01032926177864181,-0.12207637121800143,0.013274708662217076,0.005464596487933631,-0.0005198985231382302,-0.00016724660299036168],[0.0004449643060632549,0.0011021124647489682,-0.016983605075734036,-0.0034233150674441047,-0.015087681370972312,-0.000337890794806004,0.0028509219110777733,-0.000057391925333518745,-0.00018496053729924334],[-0.0017782637853427938,0.0018488141642226093,0.0005317609077944743,0.0007730915010589132,-0.00322282583653762,-0.00019887944513175384,0.0006777864995589018,0.00004988418083448664,-0.00008156263043560951],[0.0008132283552637715,-0.0006478671720063006,-0.000049331781880996464,0.00007296361254322815,-0.00044801328141976134,-5.882495523897003e-6,0.00008580190753853318,-0.00003814195324130745,-0.000022866377238456477]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.026591235154010538, -0.004474218673633574, 0.001577948152353131, -0.0002011354317072171 ], [ 0.0009605000525435117, -0.002207254695250018, 0.04204320971391106, -0.04307971925039271, 0.10388554022276922, -0.00018652809405588985, -0.004012644245890075, 0.000146415955972498, -0.0000995390631373809 ], [ -0.0004987582649679318, 0.003263988360110259, -0.030202791650434907, 0.010905698474540374, 0.015472011376020701, 0.00038633251408086693, -0.0022946144565089838, -0.00019099776186655166, 0.00014828851782027817 ], [ -0.00113372222188789, -0.002347580203431624, 0.00553178879166051, 0.003449894464437062, 0.004061585349580513, -0.00016888436937664993, -0.0008958610772603981, -0.00011088807838719795, 0.00008506611511788003 ], [ 0.0005664428109351978, 0.0005396799989137482, 0.00021948258053010962, 0.00039536108178440856, 0.000882409898339874, 0.00019206052451804182, -0.0000810004339267174, 0.00004098514249433708, 0.00002711709996229382 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04626586886227714, 0.007087116347977429, -0.0007894586704900884, 0.0003282687256951754 ], [ 0.0005715797931355314, -0.005498298169798201, 0.035095718626477215, -0.01032926177864181, -0.12207637121800143, 0.013274708662217076, 0.005464596487933631, -0.0005198985231382302, -0.00016724660299036168 ], [ 0.0004449643060632549, 0.0011021124647489682, -0.016983605075734036, -0.0034233150674441047, -0.015087681370972312, -0.000337890794806004, 0.0028509219110777733, -0.000057391925333518745, -0.00018496053729924334 ], [ -0.0017782637853427938, 0.0018488141642226093, 0.0005317609077944743, 0.0007730915010589132, -0.00322282583653762, -0.00019887944513175384, 0.0006777864995589018, 0.00004988418083448664, -0.00008156263043560951 ], [ 0.0008132283552637715, -0.0006478671720063006, -0.000049331781880996464, 0.00007296361254322815, -0.00044801328141976134, -0.000005882495523897003, 0.00008580190753853318, -0.00003814195324130745, -0.000022866377238456477 ] ]

DQz5uUsXbtoXMrrSJ2GBbg7

{"aspect_ratio": 11.10369473257106, "major_radius": 1.0, "max_elongation": 5.212094822854785, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.042117326538222415, 0.10839788477079013, 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": [[0.7756710464220586, 0.7756710914810793, 0.7756729925885071, 0.775688043234927, 0.7757481330250089, 0.7759150400586529, 0.7762858469064554, 0.7769939659550152, 0.7782059864166582, 0.7801149519533254, 0.7829308873980478, 0.7868694823679437, 0.7921398471384204, 0.798932206976294, 0.8074063127662525, 0.8176812312291223, 0.8298270473415144, 0.843858872634547, 0.8597334122221344, 0.8773482058276427, 0.896543527915833, 0.9171068126710906, 0.9387793636922698, 0.9612650180108556, 0.984240360973964, 1.0073660337889168, 1.0302986397931848, 1.052702739083229, 1.0742624239207963, 1.0946919888867914, 1.1137452492720963, 1.1312231175399863, 1.1469791193842978, 1.1609226161178572, 1.173019596686224, 1.1832910079835834, 1.1918087034470097, 1.1986892038200885, 1.2040855767733358, 1.2081778495365745, 1.211162466087842, 1.2132413823789856, 1.2146114534343022, 1.2154547978786168, 1.2159308202709214, 1.2161705196278592, 1.2162736014148334, 1.2163087240038053, 1.2163169265663545, 1.2163178679629472, 1.2163178871319413], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.440410751372475}

11.103695

1

5.212095

[ [ 0.7756710464220586, 0.7756710914810793, 0.7756729925885071, 0.775688043234927, 0.7757481330250089, 0.7759150400586529, 0.7762858469064554, 0.7769939659550152, 0.7782059864166582, 0.7801149519533254, 0.7829308873980478, 0.7868694823679437, 0.7921398471384204, 0.798932206976294, 0.8074063127662525, 0.8176812312291223, 0.8298270473415144, 0.843858872634547, 0.8597334122221344, 0.8773482058276427, 0.896543527915833, 0.9171068126710906, 0.9387793636922698, 0.9612650180108556, 0.984240360973964, 1.0073660337889168, 1.0302986397931848, 1.052702739083229, 1.0742624239207963, 1.0946919888867914, 1.1137452492720963, 1.1312231175399863, 1.1469791193842978, 1.1609226161178572, 1.173019596686224, 1.1832910079835834, 1.1918087034470097, 1.1986892038200885, 1.2040855767733358, 1.2081778495365745, 1.211162466087842, 1.2132413823789856, 1.2146114534343022, 1.2154547978786168, 1.2159308202709214, 1.2161705196278592, 1.2162736014148334, 1.2163087240038053, 1.2163169265663545, 1.2163178679629472, 1.2163178871319413 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.042117326538222415, 0.10839788477079013, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.440411

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

D5mfznjuPmX7vS7JeN6gQP8

null

false

null

false

DD6Pgc6oiQX6bYcfGRYAQ9w

DSud9uWheNPEPA9e7y44JZm

{"qi": 0.008200990062612165, "vacuum_well": -0.2162196637859514, "aspect_ratio": 9.349719345241606, "max_elongation": 6.776903961237158, "average_triangularity": -0.006944166732108535, "axis_magnetic_mirror_ratio": 0.2979936950956321, "edge_magnetic_mirror_ratio": 0.41323143171854976, "aspect_ratio_over_edge_rotational_transform": 8.117727427200322, "flux_compression_in_regions_of_bad_curvature": 1.18266885570372, "axis_rotational_transform_over_n_field_periods": 0.23513350468921626, "edge_rotational_transform_over_n_field_periods": 0.38392187259672417, "minimum_normalized_magnetic_gradient_scale_length": 3.8010153137709874}

9.349719

8.117727

-0.193173

0.297994

0.235134

0.413231

0.383922

1.182669

6.776904

3.801015

0.008201

-0.21622

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.02193948350506458,-0.04382454316193451,-0.003634646106862692,0.0009466275433809802],[-0.0029493545920800477,-0.00387196154067077,0.0664394804708576,-0.02596262963797034,0.08609876935986138,-0.017619935889233333,-0.024669707342040024,-0.0017955488295856854,0.0026079247206553125],[0.000718819899861644,0.00219879882912734,-0.002268748989654394,-0.017216366265021297,-0.022746120020427182,-0.011327778369538875,-0.00027355947653703557,0.0013476790409909152,0.00048112482227850547],[0.003022434360544917,-0.0021620847167453765,0.002821565413033902,-0.0024146063894648975,-0.0025859447985244494,0.0032164458032514923,-0.00034862712268865525,0.0001349811736605002,0.00012588641632336507],[-0.00025092096085165813,0.0003001295025622853,-0.000671368135960818,0.0009040058453187007,0.0003041951527601387,-0.000020236898388230806,0.00036980321287059933,0.000021429886208909534,-0.00006932739880132795]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.020718857610795005,0.0014011060744455722,0.004745478659366279,-0.0028987537173423717],[-0.004306670703500975,0.0036316870456491583,0.04802161386411052,-0.00242616017822844,-0.15309599039852276,-0.004604278146016517,0.030498459766267604,0.0013563879808296936,-0.0025358647922168512],[-0.0001527661960144275,0.0024160285750547666,-0.002674726779325458,-0.006292005741106808,0.0071453629667983945,0.012014013714624867,0.00006911619850322008,-0.0011596840687577176,0.000011410492437269443],[0.0029970575659738815,-0.0008483933997112455,-0.008789995132599853,0.005912504011396757,-0.0005625703596651749,-0.005067328475573312,0.00033367489840954116,0.0004474637531550656,-0.00011403261165505584],[-0.00017116330587593526,0.0009534121147048982,-8.109408398419696e-6,0.00024265612689995935,-0.0005158905135476399,-0.00007907766745887051,0.000053519818547739654,-0.00002985889180841776,0.00008980010155754483]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.02193948350506458, -0.04382454316193451, -0.003634646106862692, 0.0009466275433809802 ], [ -0.0029493545920800477, -0.00387196154067077, 0.0664394804708576, -0.02596262963797034, 0.08609876935986138, -0.017619935889233333, -0.024669707342040024, -0.0017955488295856854, 0.0026079247206553125 ], [ 0.000718819899861644, 0.00219879882912734, -0.002268748989654394, -0.017216366265021297, -0.022746120020427182, -0.011327778369538875, -0.00027355947653703557, 0.0013476790409909152, 0.00048112482227850547 ], [ 0.003022434360544917, -0.0021620847167453765, 0.002821565413033902, -0.0024146063894648975, -0.0025859447985244494, 0.0032164458032514923, -0.00034862712268865525, 0.0001349811736605002, 0.00012588641632336507 ], [ -0.00025092096085165813, 0.0003001295025622853, -0.000671368135960818, 0.0009040058453187007, 0.0003041951527601387, -0.000020236898388230806, 0.00036980321287059933, 0.000021429886208909534, -0.00006932739880132795 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.020718857610795005, 0.0014011060744455722, 0.004745478659366279, -0.0028987537173423717 ], [ -0.004306670703500975, 0.0036316870456491583, 0.04802161386411052, -0.00242616017822844, -0.15309599039852276, -0.004604278146016517, 0.030498459766267604, 0.0013563879808296936, -0.0025358647922168512 ], [ -0.0001527661960144275, 0.0024160285750547666, -0.002674726779325458, -0.006292005741106808, 0.0071453629667983945, 0.012014013714624867, 0.00006911619850322008, -0.0011596840687577176, 0.000011410492437269443 ], [ 0.0029970575659738815, -0.0008483933997112455, -0.008789995132599853, 0.005912504011396757, -0.0005625703596651749, -0.005067328475573312, 0.00033367489840954116, 0.0004474637531550656, -0.00011403261165505584 ], [ -0.00017116330587593526, 0.0009534121147048982, -0.000008109408398419696, 0.00024265612689995935, -0.0005158905135476399, -0.00007907766745887051, 0.000053519818547739654, -0.00002985889180841776, 0.00008980010155754483 ] ]

DaTcKe23MSFMWwXTA95UsBn

{"aspect_ratio": 9.037470897176672, "major_radius": 1.0, "max_elongation": 6.125949632085956, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.42014874317639983, -0.046221620965310545, 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": [[0.6785670951996139, 0.6785681995945065, 0.6785908030538305, 0.6787056631508336, 0.6790422614650017, 0.6797830570633716, 0.681151838367875, 0.6833993946201332, 0.6867883366104366, 0.6915782367794134, 0.6980118686047277, 0.7063030654468562, 0.7166265331429696, 0.7291098112244541, 0.7438274698224315, 0.7607975443288256, 0.7799801421545364, 0.8012781017883321, 0.824539541257951, 0.8495620991971574, 0.8760986456757138, 0.9038642207282883, 0.9325439453302724, 0.9618016417890354, 0.9912888976494441, 1.0206543088489668, 1.0495526436708666, 1.0776536787628823, 1.1046504718897792, 1.1302668529866222, 1.154263935324035, 1.176445472063989, 1.1966619100774722, 1.2148130225398752, 1.2308490344652552, 1.2447701909588624, 1.2566247565550852, 1.2665054755891987, 1.2745445681821348, 1.2809073841938061, 1.2857848885698697, 1.289385206086785, 1.2919245119078937, 1.2936176170645242, 1.2946686656689244, 1.2952624344341341, 1.2955568066910337, 1.2956770856612256, 1.2957129212891996, 1.2957187650321011, 1.2957189774394717], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7379796736883613}

9.037471

1

6.12595

[ [ 0.6785670951996139, 0.6785681995945065, 0.6785908030538305, 0.6787056631508336, 0.6790422614650017, 0.6797830570633716, 0.681151838367875, 0.6833993946201332, 0.6867883366104366, 0.6915782367794134, 0.6980118686047277, 0.7063030654468562, 0.7166265331429696, 0.7291098112244541, 0.7438274698224315, 0.7607975443288256, 0.7799801421545364, 0.8012781017883321, 0.824539541257951, 0.8495620991971574, 0.8760986456757138, 0.9038642207282883, 0.9325439453302724, 0.9618016417890354, 0.9912888976494441, 1.0206543088489668, 1.0495526436708666, 1.0776536787628823, 1.1046504718897792, 1.1302668529866222, 1.154263935324035, 1.176445472063989, 1.1966619100774722, 1.2148130225398752, 1.2308490344652552, 1.2447701909588624, 1.2566247565550852, 1.2665054755891987, 1.2745445681821348, 1.2809073841938061, 1.2857848885698697, 1.289385206086785, 1.2919245119078937, 1.2936176170645242, 1.2946686656689244, 1.2952624344341341, 1.2955568066910337, 1.2956770856612256, 1.2957129212891996, 1.2957187650321011, 1.2957189774394717 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.42014874317639983, -0.046221620965310545, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.73798

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

Dn3AZa5ubw7cgNKgXqbDKqq

null

false

null

false

DSsviohVfbta6YqYGvN4hYd

DLPNe2pBrsyoV7TEK7AqnZ9

{"qi": 0.0012415341158636259, "vacuum_well": -0.0445389607077718, "aspect_ratio": 8.629407851329827, "max_elongation": 5.801541625098278, "average_triangularity": -0.3712942431807586, "axis_magnetic_mirror_ratio": 0.24223576312955106, "edge_magnetic_mirror_ratio": 0.27932373165800434, "aspect_ratio_over_edge_rotational_transform": 34.39507270541387, "flux_compression_in_regions_of_bad_curvature": 1.2513829398421936, "axis_rotational_transform_over_n_field_periods": 0.21861093482817495, "edge_rotational_transform_over_n_field_periods": 0.1254454079111677, "minimum_normalized_magnetic_gradient_scale_length": 4.000564441880574}

8.629408

34.395073

-0.373001

0.242236

0.218611

0.279324

0.125445

1.251383

5.801542

4.000564

0.001242

-0.044539

{"r_cos":[[0.0,0.0,0.0,0.0,0.9934961537809506,0.005100140900835363,-0.04923478751117317,0.001140080387533043,-0.0008922293956849332],[-0.0008473104426346994,0.00012824460441810553,0.018400302932556692,-0.06582538554745,0.14636334246505464,-0.0071704213133747495,0.002443502542773453,0.00015142496137121348,0.0005443552461596477],[0.0002522122513734841,-0.0018410592644184437,0.003549449090560812,0.004890219326634426,-0.009485773151832615,0.010221577745963651,-0.0025256559009328985,0.0012379733934169104,0.00037631878910822055],[-0.00012939511282288583,0.0002967836188691479,0.00041862182835232373,-0.005059790918661586,0.008318425474831533,0.007163290777867114,-0.0009203543241974727,0.0006723031735833247,0.00031131337825871045],[0.00005245233088229804,-0.00017431111351682953,-0.00035892092297776636,0.0011170384710256255,0.00024100122974525864,-0.0009305778421400089,-0.0006276525650548238,0.00013753247251745886,0.00012136429524205116]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.6175581368679364,0.0362721307885181,-0.008486181764084725,0.002499406932800853],[-0.0015595237802320035,0.002357852021491556,0.013221052824660743,-0.05578219310412908,-0.11923631044612779,0.043186529516308796,-0.00007698691902018138,-0.00004109437561215833,-0.0005447068855264448],[0.000524199933367389,-0.0028867983182582083,0.0016482339134575835,0.010599080887372048,-0.02548339734773259,-0.0008234130294889029,0.003835187479688849,0.0007134058509472099,0.00012591610985933458],[-0.0005412843568608676,0.0015727174186171786,-0.0012357387378592877,0.0017927143783745478,-0.01418697962815411,0.00542995180020514,0.0031864494152761616,0.00016046896130813063,0.00005104501191107022],[-0.00008317052289242411,0.00008424486749012295,-0.00036047497421468023,0.0018460162364649527,-0.0030194951399675606,0.0015013750449213074,-0.00035389096529106533,-0.00041489121865936906,0.000012938963042359716]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9934961537809506, 0.005100140900835363, -0.04923478751117317, 0.001140080387533043, -0.0008922293956849332 ], [ -0.0008473104426346994, 0.00012824460441810553, 0.018400302932556692, -0.06582538554745, 0.14636334246505464, -0.0071704213133747495, 0.002443502542773453, 0.00015142496137121348, 0.0005443552461596477 ], [ 0.0002522122513734841, -0.0018410592644184437, 0.003549449090560812, 0.004890219326634426, -0.009485773151832615, 0.010221577745963651, -0.0025256559009328985, 0.0012379733934169104, 0.00037631878910822055 ], [ -0.00012939511282288583, 0.0002967836188691479, 0.00041862182835232373, -0.005059790918661586, 0.008318425474831533, 0.007163290777867114, -0.0009203543241974727, 0.0006723031735833247, 0.00031131337825871045 ], [ 0.00005245233088229804, -0.00017431111351682953, -0.00035892092297776636, 0.0011170384710256255, 0.00024100122974525864, -0.0009305778421400089, -0.0006276525650548238, 0.00013753247251745886, 0.00012136429524205116 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.6175581368679364, 0.0362721307885181, -0.008486181764084725, 0.002499406932800853 ], [ -0.0015595237802320035, 0.002357852021491556, 0.013221052824660743, -0.05578219310412908, -0.11923631044612779, 0.043186529516308796, -0.00007698691902018138, -0.00004109437561215833, -0.0005447068855264448 ], [ 0.000524199933367389, -0.0028867983182582083, 0.0016482339134575835, 0.010599080887372048, -0.02548339734773259, -0.0008234130294889029, 0.003835187479688849, 0.0007134058509472099, 0.00012591610985933458 ], [ -0.0005412843568608676, 0.0015727174186171786, -0.0012357387378592877, 0.0017927143783745478, -0.01418697962815411, 0.00542995180020514, 0.0031864494152761616, 0.00016046896130813063, 0.00005104501191107022 ], [ -0.00008317052289242411, 0.00008424486749012295, -0.00036047497421468023, 0.0018460162364649527, -0.0030194951399675606, 0.0015013750449213074, -0.00035389096529106533, -0.00041489121865936906, 0.000012938963042359716 ] ]

DbxBqfy7UUg8Q2ThtFhAoSK

{"aspect_ratio": 10.078259359797817, "major_radius": 1.0, "max_elongation": 5.4746696623947555, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.16869636190894938, 0.2987010811010368, 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": [[0.7598953772617059, 0.7598955042984952, 0.7598993015699956, 0.759923794523398, 0.7600089287721477, 0.7602227981530286, 0.7606631142018415, 0.7614555913375113, 0.7627499047480599, 0.7647138366729055, 0.7675261761583689, 0.7713688827166486, 0.7764189681086094, 0.7828404940396645, 0.7907770277217818, 0.800344842554247, 0.8116270979966691, 0.8246691813420337, 0.8394753447793606, 0.8560067240614468, 0.87418078043603, 0.8938721654160793, 0.9149149686055252, 0.9371062723049771, 0.9602109031417505, 0.9839672406462736, 1.0080939156846895, 1.0322972081156245, 1.0562789331394593, 1.079744589737756, 1.1024115325641382, 1.124016920874832, 1.1443251948355906, 1.1631348311068674, 1.1802841363325407, 1.1956558494399632, 1.2091803419779883, 1.220837230652476, 1.2306552484770878, 1.2387102614348569, 1.2451213673916315, 1.2500450747303957, 1.2536676318424331, 1.2561956681107875, 1.2578454165977828, 1.2588309248540093, 1.259351833883905, 1.2595815356055717, 1.2596568446711967, 1.2596708322211456, 1.2596714541487126], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.46521172855994775}

10.078259

1

5.47467

[ [ 0.7598953772617059, 0.7598955042984952, 0.7598993015699956, 0.759923794523398, 0.7600089287721477, 0.7602227981530286, 0.7606631142018415, 0.7614555913375113, 0.7627499047480599, 0.7647138366729055, 0.7675261761583689, 0.7713688827166486, 0.7764189681086094, 0.7828404940396645, 0.7907770277217818, 0.800344842554247, 0.8116270979966691, 0.8246691813420337, 0.8394753447793606, 0.8560067240614468, 0.87418078043603, 0.8938721654160793, 0.9149149686055252, 0.9371062723049771, 0.9602109031417505, 0.9839672406462736, 1.0080939156846895, 1.0322972081156245, 1.0562789331394593, 1.079744589737756, 1.1024115325641382, 1.124016920874832, 1.1443251948355906, 1.1631348311068674, 1.1802841363325407, 1.1956558494399632, 1.2091803419779883, 1.220837230652476, 1.2306552484770878, 1.2387102614348569, 1.2451213673916315, 1.2500450747303957, 1.2536676318424331, 1.2561956681107875, 1.2578454165977828, 1.2588309248540093, 1.259351833883905, 1.2595815356055717, 1.2596568446711967, 1.2596708322211456, 1.2596714541487126 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.16869636190894938, 0.2987010811010368, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.465212

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

D5FrKH2T8rnJa9qJnpSgiLX

null

false

null

false

D8j6FD3S9oGHtdwjhGBtW3t

DmWHnXCeomkxJzjpBWtCX2f

{"qi": 0.003213114354539046, "vacuum_well": -0.1294992364970923, "aspect_ratio": 10.04000660456132, "max_elongation": 5.173942594477071, "average_triangularity": -0.49964705579203017, "axis_magnetic_mirror_ratio": 0.21222503171921808, "edge_magnetic_mirror_ratio": 0.2238502790297494, "aspect_ratio_over_edge_rotational_transform": 36.55345049865304, "flux_compression_in_regions_of_bad_curvature": 1.1906134646435609, "axis_rotational_transform_over_n_field_periods": 0.16261597486027962, "edge_rotational_transform_over_n_field_periods": 0.13733322665299796, "minimum_normalized_magnetic_gradient_scale_length": 4.76801239911065}

10.040007

36.55345

-0.875882

0.212225

0.162616

0.22385

0.137333

1.190613

5.173943

4.768012

0.003213

-0.129499

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.03028956574598333,-0.055733789213261574,-0.0035190101020985986,-0.0008779378504381926],[-0.002581200870623139,-0.002118851839654572,0.04424185186011749,-0.02522457441344135,0.0722364346680404,0.0042621891819641,-0.02595938834265156,-0.001963415464182448,-0.00029849483856135106],[0.0005148385103612642,0.006097299176190992,-0.0053881049796218545,-0.009445204203456114,-0.0166522532918158,-0.0054525548354859045,-0.0040504316060654055,0.0004853993165074332,0.00005381136078618762],[0.00020606398598489639,-0.0022590690941050916,0.001155667469056828,-0.001311244364395084,0.004567455004014826,-0.00011510674556846668,0.0014075548899804891,0.00013756484962168958,-0.00020657895270559208],[-0.0002710577892944726,0.00008269791351815637,0.00010074576586943264,-0.0005238274312866749,0.0006667352000450893,-0.0006153475615398142,0.000035473832572287856,-0.00002010562653749124,-0.0000919281892143527]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08336720811172621,0.025387954927319267,0.004593027810885446,-0.0016136903446389477],[-0.0009519357776233681,-0.005507983783840632,0.03229679154329852,-0.011237865664869073,-0.17524266957730045,-0.00022421433908281514,0.0038782907978069086,-0.0028900401644372993,-0.00011030932852333945],[-0.000639806976068935,0.004898147876809059,-0.017990383267965787,0.0017046609325657943,-0.02787159744565366,0.0012661144041474456,0.005427169427989909,-0.00159623712833514,0.00014539956849561137],[0.00042826290128711916,-0.0021326801352826354,0.002915425357376339,0.009695266804276913,-0.0000631754558220079,-0.0015251160255043122,-0.00004980097612548081,-0.0003477153097580616,0.00008539668338094835],[0.000017673093680167412,0.00006593580496581495,0.00007166753888304575,-4.559630151847225e-6,-0.00033482374531802403,-0.00005355915739891017,-0.0003435921198012861,0.000015714012422457044,0.00004043882497676741]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.03028956574598333, -0.055733789213261574, -0.0035190101020985986, -0.0008779378504381926 ], [ -0.002581200870623139, -0.002118851839654572, 0.04424185186011749, -0.02522457441344135, 0.0722364346680404, 0.0042621891819641, -0.02595938834265156, -0.001963415464182448, -0.00029849483856135106 ], [ 0.0005148385103612642, 0.006097299176190992, -0.0053881049796218545, -0.009445204203456114, -0.0166522532918158, -0.0054525548354859045, -0.0040504316060654055, 0.0004853993165074332, 0.00005381136078618762 ], [ 0.00020606398598489639, -0.0022590690941050916, 0.001155667469056828, -0.001311244364395084, 0.004567455004014826, -0.00011510674556846668, 0.0014075548899804891, 0.00013756484962168958, -0.00020657895270559208 ], [ -0.0002710577892944726, 0.00008269791351815637, 0.00010074576586943264, -0.0005238274312866749, 0.0006667352000450893, -0.0006153475615398142, 0.000035473832572287856, -0.00002010562653749124, -0.0000919281892143527 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08336720811172621, 0.025387954927319267, 0.004593027810885446, -0.0016136903446389477 ], [ -0.0009519357776233681, -0.005507983783840632, 0.03229679154329852, -0.011237865664869073, -0.17524266957730045, -0.00022421433908281514, 0.0038782907978069086, -0.0028900401644372993, -0.00011030932852333945 ], [ -0.000639806976068935, 0.004898147876809059, -0.017990383267965787, 0.0017046609325657943, -0.02787159744565366, 0.0012661144041474456, 0.005427169427989909, -0.00159623712833514, 0.00014539956849561137 ], [ 0.00042826290128711916, -0.0021326801352826354, 0.002915425357376339, 0.009695266804276913, -0.0000631754558220079, -0.0015251160255043122, -0.00004980097612548081, -0.0003477153097580616, 0.00008539668338094835 ], [ 0.000017673093680167412, 0.00006593580496581495, 0.00007166753888304575, -0.000004559630151847225, -0.00033482374531802403, -0.00005355915739891017, -0.0003435921198012861, 0.000015714012422457044, 0.00004043882497676741 ] ]

D8TwhRwwpZStfwrQMN6kvYB

{"aspect_ratio": 10.37505539302122, "major_radius": 1.0, "max_elongation": 5.008122847654713, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.16271927019874022, 0.08624564256282787, 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": [[0.839375421315534, 0.8393754378416436, 0.8393760016319676, 0.8393800002437448, 0.8393950199842684, 0.8394354002872813, 0.8395238447946862, 0.8396925451487237, 0.8399838085070902, 0.8404501987195085, 0.8411542131038048, 0.8421675250768724, 0.8435698289958751, 0.845447328209479, 0.8478909109438011, 0.8509940615204615, 0.8548505566972681, 0.8595519987513677, 0.8651852383699422, 0.8718297415304533, 0.8795549553802023, 0.888417728690523, 0.8984598427819934, 0.9097057089038256, 0.9221602879068487, 0.935807287673074, 0.9506076931477307, 0.9664986829477439, 0.9833929853728525, 1.001178725192848, 1.0197198107876921, 1.038856909025032, 1.0584090526039538, 1.07817592138512, 1.0979408353463946, 1.1174744920891615, 1.1365394760543168, 1.154895559483183, 1.1723058062437, 1.188543478304901, 1.203399729937272, 1.2166920551794416, 1.2282734273876128, 1.238042031806623, 1.245951436010875, 1.2520209553153807, 1.2563458229600633, 1.2591065032666158, 1.2605759141298192, 1.2611218433737093, 1.2611959596377176], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.31579790055077683}

10.375055

1

5.008123

[ [ 0.839375421315534, 0.8393754378416436, 0.8393760016319676, 0.8393800002437448, 0.8393950199842684, 0.8394354002872813, 0.8395238447946862, 0.8396925451487237, 0.8399838085070902, 0.8404501987195085, 0.8411542131038048, 0.8421675250768724, 0.8435698289958751, 0.845447328209479, 0.8478909109438011, 0.8509940615204615, 0.8548505566972681, 0.8595519987513677, 0.8651852383699422, 0.8718297415304533, 0.8795549553802023, 0.888417728690523, 0.8984598427819934, 0.9097057089038256, 0.9221602879068487, 0.935807287673074, 0.9506076931477307, 0.9664986829477439, 0.9833929853728525, 1.001178725192848, 1.0197198107876921, 1.038856909025032, 1.0584090526039538, 1.07817592138512, 1.0979408353463946, 1.1174744920891615, 1.1365394760543168, 1.154895559483183, 1.1723058062437, 1.188543478304901, 1.203399729937272, 1.2166920551794416, 1.2282734273876128, 1.238042031806623, 1.245951436010875, 1.2520209553153807, 1.2563458229600633, 1.2591065032666158, 1.2605759141298192, 1.2611218433737093, 1.2611959596377176 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.16271927019874022, 0.08624564256282787, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.315798

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

DbsHmZWyqGVcD392uPSmPZq

null

false

null

false

DH39z5VuJUPTGF8V2TZLn9J

DgzchDhNFEBLUQxE666Gejf

{"qi": 0.004025226255176447, "vacuum_well": -0.1704089748221159, "aspect_ratio": 9.989272102886881, "max_elongation": 5.778937141467026, "average_triangularity": -0.506866772103197, "axis_magnetic_mirror_ratio": 0.23190168902753697, "edge_magnetic_mirror_ratio": 0.30128030433266123, "aspect_ratio_over_edge_rotational_transform": 18.73763334987334, "flux_compression_in_regions_of_bad_curvature": 1.5012417772985436, "axis_rotational_transform_over_n_field_periods": 0.15937953817125072, "edge_rotational_transform_over_n_field_periods": 0.17770426528553396, "minimum_normalized_magnetic_gradient_scale_length": 4.495025491170052}

9.989272

18.737633

-1.064293

0.231902

0.15938

0.30128

0.177704

1.501242

5.778937

4.495025

0.004025

-0.170409

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.03767878841917034,-0.01313516442800443,-0.0017060553988652186,-0.0006132271117504988],[-0.0005778982207757016,-0.012378486210276634,-0.010142478990435392,-0.04913637676283522,0.09137654163671567,-0.0055292369003345394,0.02007441399145453,0.0013193529981319748,0.0005834380176639967],[-0.0010171207143981572,0.0024152197678957493,-0.00744518729664358,0.005083374530541863,-0.012630096835226687,-0.005789496535619803,-0.0046395033082870605,0.000616739950342165,-0.0002518482738269772],[-0.0006430261999247924,0.0016367171538387657,0.0033741128204205226,0.0008923005217925422,0.0031342301508657175,-0.001239461383236103,-0.00032500197124237374,-0.00003392111193159183,0.00011441307339478944],[-0.0001293445641088097,0.00010268348077300942,-0.00028788859848929,0.0003460910352839604,0.00045709081665288795,-0.00010740649300791225,-0.000274548450033075,-0.00007529144758413265,-1.4050862848333408e-8]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07775247210925267,0.002588983747041258,-0.0027398006677309137,-0.0007565911592645175],[0.00018692944031771497,0.000290917740858342,0.0252866390827583,-0.07355442101976176,-0.15173921129026743,0.0224497036600002,-0.0001369516416221163,0.001075091074595944,-0.0007803052853542625],[0.0005811297081713435,0.002126144917239399,-0.020335534354118265,0.03886731861876011,0.008682625659850535,-0.01413107163199377,0.0033935380711668187,-0.0007351419629259505,-0.0002912133941481951],[0.0002571014816215513,-0.002300457874429348,0.00149102780577569,0.005751921990281246,-0.003638558320080529,0.0033633245639897065,-0.0025262579238347106,0.0003177350483911372,-0.00009174309397302318],[0.0002593777657572329,-0.00007783069214335319,0.0002455367485629915,-0.0014147144540477307,0.00003103737768873406,0.0006908200932720643,0.00011505535310044294,-0.0003348859171508763,0.00005676775461479587]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.03767878841917034, -0.01313516442800443, -0.0017060553988652186, -0.0006132271117504988 ], [ -0.0005778982207757016, -0.012378486210276634, -0.010142478990435392, -0.04913637676283522, 0.09137654163671567, -0.0055292369003345394, 0.02007441399145453, 0.0013193529981319748, 0.0005834380176639967 ], [ -0.0010171207143981572, 0.0024152197678957493, -0.00744518729664358, 0.005083374530541863, -0.012630096835226687, -0.005789496535619803, -0.0046395033082870605, 0.000616739950342165, -0.0002518482738269772 ], [ -0.0006430261999247924, 0.0016367171538387657, 0.0033741128204205226, 0.0008923005217925422, 0.0031342301508657175, -0.001239461383236103, -0.00032500197124237374, -0.00003392111193159183, 0.00011441307339478944 ], [ -0.0001293445641088097, 0.00010268348077300942, -0.00028788859848929, 0.0003460910352839604, 0.00045709081665288795, -0.00010740649300791225, -0.000274548450033075, -0.00007529144758413265, -1.4050862848333408e-8 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07775247210925267, 0.002588983747041258, -0.0027398006677309137, -0.0007565911592645175 ], [ 0.00018692944031771497, 0.000290917740858342, 0.0252866390827583, -0.07355442101976176, -0.15173921129026743, 0.0224497036600002, -0.0001369516416221163, 0.001075091074595944, -0.0007803052853542625 ], [ 0.0005811297081713435, 0.002126144917239399, -0.020335534354118265, 0.03886731861876011, 0.008682625659850535, -0.01413107163199377, 0.0033935380711668187, -0.0007351419629259505, -0.0002912133941481951 ], [ 0.0002571014816215513, -0.002300457874429348, 0.00149102780577569, 0.005751921990281246, -0.003638558320080529, 0.0033633245639897065, -0.0025262579238347106, 0.0003177350483911372, -0.00009174309397302318 ], [ 0.0002593777657572329, -0.00007783069214335319, 0.0002455367485629915, -0.0014147144540477307, 0.00003103737768873406, 0.0006908200932720643, 0.00011505535310044294, -0.0003348859171508763, 0.00005676775461479587 ] ]

DdJQPPFzM7iQj7srXcs8X4g

{"aspect_ratio": 11.836166227517747, "major_radius": 1.0, "max_elongation": 5.612639215516789, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.18158189904909916, -0.01681556029661915, 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": [[0.8330555251696958, 0.8330555257147773, 0.8330555573912286, 0.8330558721130652, 0.8330573849654135, 0.8330623267229633, 0.8330750521997744, 0.8331029556948948, 0.8331574487218216, 0.8332549581665011, 0.8334179055013298, 0.8336756299051559, 0.8340652202146921, 0.8346322226295689, 0.835431193057783, 0.8365260649550303, 0.8379903055084625, 0.8399068350677021, 0.8423676868572704, 0.8454733862390545, 0.8493320311568571, 0.8540580579160229, 0.8597706791623766, 0.8665919838645898, 0.8746446923184585, 0.8840495627360565, 0.8949224499258474, 0.9073710209971095, 0.9214911380415245, 0.9373629234948804, 0.9550465305420714, 0.9745776487350415, 0.9959627842612205, 1.0191743654567575, 1.0441457377941783, 1.0707661295170667, 1.0988756905350838, 1.128260734879363, 1.158649353586552, 1.1897076144202559, 1.2210366339157297, 1.2521709067921551, 1.2825784268978406, 1.3116633676056653, 1.3387724766382725, 1.3632070261341056, 1.3842434836667177, 1.4011689423197797, 1.4133446914107306, 1.420335815650331, 1.4222980428311742], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.343489823271789}

11.836166

1

5.612639

[ [ 0.8330555251696958, 0.8330555257147773, 0.8330555573912286, 0.8330558721130652, 0.8330573849654135, 0.8330623267229633, 0.8330750521997744, 0.8331029556948948, 0.8331574487218216, 0.8332549581665011, 0.8334179055013298, 0.8336756299051559, 0.8340652202146921, 0.8346322226295689, 0.835431193057783, 0.8365260649550303, 0.8379903055084625, 0.8399068350677021, 0.8423676868572704, 0.8454733862390545, 0.8493320311568571, 0.8540580579160229, 0.8597706791623766, 0.8665919838645898, 0.8746446923184585, 0.8840495627360565, 0.8949224499258474, 0.9073710209971095, 0.9214911380415245, 0.9373629234948804, 0.9550465305420714, 0.9745776487350415, 0.9959627842612205, 1.0191743654567575, 1.0441457377941783, 1.0707661295170667, 1.0988756905350838, 1.128260734879363, 1.158649353586552, 1.1897076144202559, 1.2210366339157297, 1.2521709067921551, 1.2825784268978406, 1.3116633676056653, 1.3387724766382725, 1.3632070261341056, 1.3842434836667177, 1.4011689423197797, 1.4133446914107306, 1.420335815650331, 1.4222980428311742 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.18158189904909916, -0.01681556029661915, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.34349

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

DEVdCtc43nfUuduKgcfrs2j

null

false

null

false

DoHp6HbMHz6asHTqpyKWPv3

DMUZFSwRMNadqB7Lv7QicQm

{"qi": 0.009294822129204506, "vacuum_well": 0.02125161902992316, "aspect_ratio": 9.496037032417478, "max_elongation": 4.460072884297944, "average_triangularity": 0.30755447815642184, "axis_magnetic_mirror_ratio": 0.26643415143142357, "edge_magnetic_mirror_ratio": 0.32778575139752447, "aspect_ratio_over_edge_rotational_transform": 37.40929695210408, "flux_compression_in_regions_of_bad_curvature": 0.45609796476848335, "axis_rotational_transform_over_n_field_periods": 0.28596983877113413, "edge_rotational_transform_over_n_field_periods": 0.2538416331259969, "minimum_normalized_magnetic_gradient_scale_length": 4.141131090541075}

9.496037

37.409297

0.216623

0.266434

0.28597

0.327786

0.253842

0.456098

4.460073

4.141131

0.009295

0.021252

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.00417288601202895,-0.19582308810678237,0.0007781848782763013,0.010919774511828587],[0.012172820672184417,-0.007392412065607741,0.03657741179023689,-0.009395885243875586,0.10384200890400042,-0.016153214510319838,0.0039009704384786043,-0.0006756042209964275,-0.0034421600414114755],[0.0033116819396471083,-0.005802658305743056,-0.01510372525008441,0.004537355594140479,0.010693109919019818,0.0014105707425751532,-0.006700919094333788,0.00008559583059754251,0.001418384131942119],[0.00022452469248038817,1.907461163385969e-6,0.00556645012822308,-0.0009864615314535922,-0.009535929211737284,-0.000267782128858027,0.002473396436584112,0.00020592091911442168,-0.000028302988123530184],[0.00012734450657305148,-0.00044097072625003206,0.00005351622651196837,0.0010119113962877636,0.00099037133047152,0.0009591896314771859,-0.0003227632175882727,-0.0002238761478132196,0.00005598783670139308]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.01104573696538765,0.01427298926503236,0.0025668211105994375,-0.00043500023028393906],[0.004509232939558098,-0.0009413271683903001,0.05316216863977323,0.002092947201457011,-0.13260123446716485,0.0013580823478704835,0.009438395554823165,0.00010856832310607984,0.00197249736944682],[-0.00187537236694486,-0.0009300608438798934,-0.001210565788471652,0.004030696292362058,0.018082546919364163,-0.0012870321758704486,-0.0027056696243478668,0.000015862697369433093,-0.00038412725840577925],[-6.75805682664653e-6,0.0006199588626932722,0.0001584134198553095,-0.002291113172129308,-0.0008019455736104949,0.001271158944654371,0.00024443492303359056,0.000022317898524874455,-0.00020263196976562728],[-0.00005204364119128506,0.00006075614696341725,-0.00017542244812177987,0.0003153461574630509,-0.00003191708901507505,-0.00016215097238968913,-0.0001364317442490619,2.6242459699078503e-6,0.00002357264817815061]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.00417288601202895, -0.19582308810678237, 0.0007781848782763013, 0.010919774511828587 ], [ 0.012172820672184417, -0.007392412065607741, 0.03657741179023689, -0.009395885243875586, 0.10384200890400042, -0.016153214510319838, 0.0039009704384786043, -0.0006756042209964275, -0.0034421600414114755 ], [ 0.0033116819396471083, -0.005802658305743056, -0.01510372525008441, 0.004537355594140479, 0.010693109919019818, 0.0014105707425751532, -0.006700919094333788, 0.00008559583059754251, 0.001418384131942119 ], [ 0.00022452469248038817, 0.000001907461163385969, 0.00556645012822308, -0.0009864615314535922, -0.009535929211737284, -0.000267782128858027, 0.002473396436584112, 0.00020592091911442168, -0.000028302988123530184 ], [ 0.00012734450657305148, -0.00044097072625003206, 0.00005351622651196837, 0.0010119113962877636, 0.00099037133047152, 0.0009591896314771859, -0.0003227632175882727, -0.0002238761478132196, 0.00005598783670139308 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.01104573696538765, 0.01427298926503236, 0.0025668211105994375, -0.00043500023028393906 ], [ 0.004509232939558098, -0.0009413271683903001, 0.05316216863977323, 0.002092947201457011, -0.13260123446716485, 0.0013580823478704835, 0.009438395554823165, 0.00010856832310607984, 0.00197249736944682 ], [ -0.00187537236694486, -0.0009300608438798934, -0.001210565788471652, 0.004030696292362058, 0.018082546919364163, -0.0012870321758704486, -0.0027056696243478668, 0.000015862697369433093, -0.00038412725840577925 ], [ -0.00000675805682664653, 0.0006199588626932722, 0.0001584134198553095, -0.002291113172129308, -0.0008019455736104949, 0.001271158944654371, 0.00024443492303359056, 0.000022317898524874455, -0.00020263196976562728 ], [ -0.00005204364119128506, 0.00006075614696341725, -0.00017542244812177987, 0.0003153461574630509, -0.00003191708901507505, -0.00016215097238968913, -0.0001364317442490619, 0.0000026242459699078503, 0.00002357264817815061 ] ]

DMJVDFqYugyUXfRLZL7tkDJ

{"aspect_ratio": 9.813113988464739, "major_radius": 1.0, "max_elongation": 5.585173114611108, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.379861591742682, 0.1277501649116342, 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": [[0.7661954083083079, 0.7661955139650974, 0.7661984299074496, 0.7662164567581005, 0.7662776085639971, 0.7664291001283186, 0.7667387303117422, 0.767294568597941, 0.768203271968419, 0.7695873132531457, 0.7715813700099297, 0.7743280978140242, 0.7779734906560198, 0.7826620124570373, 0.7885316666755502, 0.7957091550881854, 0.8043052617455608, 0.8144105836063872, 0.8260917152757776, 0.8393879814949939, 0.8543087974545926, 0.8708317235537906, 0.8889012678403755, 0.9084284759798098, 0.9292913351660224, 0.9513360048485829, 0.9743788734603465, 0.9982094264331439, 1.0225938966297337, 1.047279653834966, 1.0720002750663034, 1.0964812221000764, 1.1204460366658655, 1.1436229471166164, 1.1657517628872585, 1.1865909145213056, 1.2059244772306652, 1.2235689945401735, 1.2393798951274255, 1.2532572699119786, 1.2651507469445542, 1.2750631674852742, 1.283052726012415, 1.2892331868947768, 1.2937717263407444, 1.2968838616655232, 1.29882480509905, 1.2998763832549662, 1.3003283167722293, 1.30045192370386, 1.3004621688715878], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.18993619618738788}

9.813114

1

5.585173

[ [ 0.7661954083083079, 0.7661955139650974, 0.7661984299074496, 0.7662164567581005, 0.7662776085639971, 0.7664291001283186, 0.7667387303117422, 0.767294568597941, 0.768203271968419, 0.7695873132531457, 0.7715813700099297, 0.7743280978140242, 0.7779734906560198, 0.7826620124570373, 0.7885316666755502, 0.7957091550881854, 0.8043052617455608, 0.8144105836063872, 0.8260917152757776, 0.8393879814949939, 0.8543087974545926, 0.8708317235537906, 0.8889012678403755, 0.9084284759798098, 0.9292913351660224, 0.9513360048485829, 0.9743788734603465, 0.9982094264331439, 1.0225938966297337, 1.047279653834966, 1.0720002750663034, 1.0964812221000764, 1.1204460366658655, 1.1436229471166164, 1.1657517628872585, 1.1865909145213056, 1.2059244772306652, 1.2235689945401735, 1.2393798951274255, 1.2532572699119786, 1.2651507469445542, 1.2750631674852742, 1.283052726012415, 1.2892331868947768, 1.2937717263407444, 1.2968838616655232, 1.29882480509905, 1.2998763832549662, 1.3003283167722293, 1.30045192370386, 1.3004621688715878 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.379861591742682, 0.1277501649116342, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.189936

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

DbxUQtEt5eMeernHhmF37jo

null

false

null

false

D99RVV6BebbjBBMFLXnqiSq

D3PaK8Vu6tR3t2F2jQQcYSQ

{"qi": 0.0023524371138852907, "vacuum_well": -0.10123896971743053, "aspect_ratio": 9.562058715582605, "max_elongation": 5.49624696380425, "average_triangularity": -0.3549670509265481, "axis_magnetic_mirror_ratio": 0.23995997445705738, "edge_magnetic_mirror_ratio": 0.29081177155064386, "aspect_ratio_over_edge_rotational_transform": 16.843593196071552, "flux_compression_in_regions_of_bad_curvature": 0.9462965912096213, "axis_rotational_transform_over_n_field_periods": 0.15105522433450796, "edge_rotational_transform_over_n_field_periods": 0.1135394164923524, "minimum_normalized_magnetic_gradient_scale_length": 7.783804327343152}

9.562059

16.843593

-0.417709

0.23996

0.151055

0.290812

0.113539

0.946297

5.496247

7.783804

0.002352

-0.101239

{"r_cos":[[0.0,0.0,0.0,0.0,0.9964269548108438,0.00403477203355354,-0.01012262213186536,-0.0014058212778282758,-0.00017233192356776476],[-0.0008071470867627585,-0.0010445275391181938,-0.0030953748672643733,-0.07004351123345898,0.12693451833388641,0.022434746344167207,-0.0064125584461111555,-0.003442333468901768,-0.0004857417196730647],[-0.000436654435556133,0.0010012945286988527,-0.000922805603073608,0.011414569787499732,-0.032073837828199454,0.008373097841827565,0.002902323258148007,0.00009711588189396621,-0.0002407114964972434],[0.000013375560340235413,-0.0005347569323511961,0.0023640609644891,-0.0028979365421101617,0.012868444750861114,-0.0015655184408828841,-0.0006501569460875248,-0.000158521738069844,-0.00004292981575259362],[0.000013855181375198086,0.00004848488442831942,0.00018140699000227957,-0.0002511275861614035,-0.0012921390554850377,0.0004401295960191576,0.00003887087583791035,0.00016231277440271542,0.000050747466924410466]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.09355930859774941,-0.00021033380376108204,0.001033642553976413,0.00007504429034219973],[0.00019591105772857236,-0.0036356243755129936,-0.00007410301543813802,-0.04276079474228865,-0.13012481602294465,0.02327091240778155,0.006829316993561697,0.0026778535786495207,0.00023767999028654604],[-0.0004709276367999979,-0.0006006719613511812,-0.002714980299407694,0.014055200312902336,-0.029763731236451797,-0.014015907343204754,0.0013351325289816108,0.0005044519518488463,0.00007365664217923309],[-0.00006050947391395795,-0.00002375509148151364,-0.001177140728646654,0.002296740922011053,0.0026858915257247946,-0.0011433274014214186,0.00010265594554052955,0.0002765725153660388,-0.000015091887939607954],[-0.000026472350946340243,-0.00010720763375589914,0.00024268839699499148,-0.0006923181727274373,0.0003733550797769111,0.00034803374233082293,-0.00036566328005296336,-0.0001855955078283561,-0.00003308388670050652]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9964269548108438, 0.00403477203355354, -0.01012262213186536, -0.0014058212778282758, -0.00017233192356776476 ], [ -0.0008071470867627585, -0.0010445275391181938, -0.0030953748672643733, -0.07004351123345898, 0.12693451833388641, 0.022434746344167207, -0.0064125584461111555, -0.003442333468901768, -0.0004857417196730647 ], [ -0.000436654435556133, 0.0010012945286988527, -0.000922805603073608, 0.011414569787499732, -0.032073837828199454, 0.008373097841827565, 0.002902323258148007, 0.00009711588189396621, -0.0002407114964972434 ], [ 0.000013375560340235413, -0.0005347569323511961, 0.0023640609644891, -0.0028979365421101617, 0.012868444750861114, -0.0015655184408828841, -0.0006501569460875248, -0.000158521738069844, -0.00004292981575259362 ], [ 0.000013855181375198086, 0.00004848488442831942, 0.00018140699000227957, -0.0002511275861614035, -0.0012921390554850377, 0.0004401295960191576, 0.00003887087583791035, 0.00016231277440271542, 0.000050747466924410466 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.09355930859774941, -0.00021033380376108204, 0.001033642553976413, 0.00007504429034219973 ], [ 0.00019591105772857236, -0.0036356243755129936, -0.00007410301543813802, -0.04276079474228865, -0.13012481602294465, 0.02327091240778155, 0.006829316993561697, 0.0026778535786495207, 0.00023767999028654604 ], [ -0.0004709276367999979, -0.0006006719613511812, -0.002714980299407694, 0.014055200312902336, -0.029763731236451797, -0.014015907343204754, 0.0013351325289816108, 0.0005044519518488463, 0.00007365664217923309 ], [ -0.00006050947391395795, -0.00002375509148151364, -0.001177140728646654, 0.002296740922011053, 0.0026858915257247946, -0.0011433274014214186, 0.00010265594554052955, 0.0002765725153660388, -0.000015091887939607954 ], [ -0.000026472350946340243, -0.00010720763375589914, 0.00024268839699499148, -0.0006923181727274373, 0.0003733550797769111, 0.00034803374233082293, -0.00036566328005296336, -0.0001855955078283561, -0.00003308388670050652 ] ]

DaTeHgi46zr42fEH8AW9mxb

{"aspect_ratio": 9.511097163809065, "major_radius": 1.0, "max_elongation": 5.573711484452236, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.24229643721962826, 0.4197621782977294, 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": [[0.7909172150142554, 0.7909172924568109, 0.7909192406023231, 0.7909306964679206, 0.7909684330265248, 0.7910602912278972, 0.7912461760074101, 0.7915783242800675, 0.7921209781730554, 0.7929495628879597, 0.7941494496878903, 0.795814372656046, 0.798044559852146, 0.800944633764, 0.8046213316942119, 0.8091810934641432, 0.8147275612693866, 0.8213590344971526, 0.8291659206922444, 0.8382282225497064, 0.8486130997593385, 0.8603725436880194, 0.873541202230482, 0.888134391667254, 0.904146332026434, 0.9215486422461889, 0.9402891313748616, 0.9602909221277978, 0.9814519433520016, 1.0036448283446437, 1.0267172565492078, 1.0504927769418693, 1.0747721524597371, 1.0993352661655638, 1.123943631564524, 1.1483435516903286, 1.1722699744048786, 1.1954510950146222, 1.2176137621002296, 1.238489748837312, 1.2578229607542566, 1.2753776629459057, 1.2909478270957357, 1.304367724491596, 1.315523931527717, 1.32436898081099, 1.3309370095944761, 1.335361990423202, 1.3378996566872596, 1.3389557300239654, 1.3391298828284475], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7256397117542177}

9.511097

1

5.573711

[ [ 0.7909172150142554, 0.7909172924568109, 0.7909192406023231, 0.7909306964679206, 0.7909684330265248, 0.7910602912278972, 0.7912461760074101, 0.7915783242800675, 0.7921209781730554, 0.7929495628879597, 0.7941494496878903, 0.795814372656046, 0.798044559852146, 0.800944633764, 0.8046213316942119, 0.8091810934641432, 0.8147275612693866, 0.8213590344971526, 0.8291659206922444, 0.8382282225497064, 0.8486130997593385, 0.8603725436880194, 0.873541202230482, 0.888134391667254, 0.904146332026434, 0.9215486422461889, 0.9402891313748616, 0.9602909221277978, 0.9814519433520016, 1.0036448283446437, 1.0267172565492078, 1.0504927769418693, 1.0747721524597371, 1.0993352661655638, 1.123943631564524, 1.1483435516903286, 1.1722699744048786, 1.1954510950146222, 1.2176137621002296, 1.238489748837312, 1.2578229607542566, 1.2753776629459057, 1.2909478270957357, 1.304367724491596, 1.315523931527717, 1.32436898081099, 1.3309370095944761, 1.335361990423202, 1.3378996566872596, 1.3389557300239654, 1.3391298828284475 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.24229643721962826, 0.4197621782977294, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.72564

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

D4NovoL5xnUjGKnkcneSBDi

null

false

null

false

DjZPf2ho5sFL5BwtwK6PzNS

D6qVyEFd9HuwdVRQ4HAMsMk

{"qi": 0.007193202182710361, "vacuum_well": -0.008605471494424742, "aspect_ratio": 9.429307430087588, "max_elongation": 5.6800236240985535, "average_triangularity": -0.23135505356168487, "axis_magnetic_mirror_ratio": 0.34335720378518525, "edge_magnetic_mirror_ratio": 0.37651155876703185, "aspect_ratio_over_edge_rotational_transform": 76.74478224738266, "flux_compression_in_regions_of_bad_curvature": 1.166033596203612, "axis_rotational_transform_over_n_field_periods": 0.10572481761638768, "edge_rotational_transform_over_n_field_periods": 0.1228657786752554, "minimum_normalized_magnetic_gradient_scale_length": 4.613229528735113}

9.429307

76.744782

-0.264486

0.343357

0.105725

0.376512

0.122866

1.166034

5.680024

4.61323

0.007193

-0.008605

{"r_cos":[[0.0,0.0,0.0,0.0,0.9955588700620653,0.02510385623441168,-0.17009070602543835,0.021662526917315274,0.011203996053572805],[-0.010110818093545134,-0.0313896741067396,-0.010562563442610973,0.011697211550089508,0.07471018899737189,-0.010068335762437888,0.032512353171228275,-0.007749442649053924,-0.001661893993704834],[-0.0007907575877037207,-0.009140510833312764,-0.011971719185412923,0.007295837532171206,0.003898093854160994,-0.0008601002039144118,0.006639814837588926,-0.00036008744538202925,0.0006885007053989287],[0.000860851393442363,0.0028879150834908883,-0.0019669843247202877,-0.007051159079917266,0.0011039659088351624,0.003384059144071837,-0.0007240943912498391,0.00015098046656992787,-0.00012494230915074673],[-0.0005904432258608573,-0.0005999453627378727,0.0012024814263066545,0.0007818822028899672,-0.00045889462197722623,-0.0005967328033194596,7.274552103767257e-7,0.0004547172548135259,-0.00027025268074707233]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14234775640714806,-0.07263805242311086,-0.021333273978163373,0.0056850118185077635],[-0.01576632888239461,-0.014000549434212563,0.02519939449529898,-0.08971721064944128,-0.12217509711568246,0.08651697980351096,-0.031956971222260204,-0.005977077107796762,0.0048736043625549905],[0.00048867921504905,-0.007849555855056794,-0.014249929694504712,-0.0009594514140569659,0.00005291802088078273,-0.01106106797905241,-0.004414804588315793,0.003182344604212754,-0.0016076498989270045],[-0.00032933406634476223,0.002565077411339196,0.0007858566539213263,-0.0019234871627193725,0.0005848993092343658,-0.000839266870993453,0.0011843713947487222,-0.0009198763732431238,0.0002766317937009176],[-0.00025179479865673055,-1.1787747190477582e-6,-0.00010192184755656016,0.0002335800290097145,0.00011623888350876382,0.00020715334418150346,0.00003614079875191841,-0.00011803291480239942,0.00011318945705723839]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9955588700620653, 0.02510385623441168, -0.17009070602543835, 0.021662526917315274, 0.011203996053572805 ], [ -0.010110818093545134, -0.0313896741067396, -0.010562563442610973, 0.011697211550089508, 0.07471018899737189, -0.010068335762437888, 0.032512353171228275, -0.007749442649053924, -0.001661893993704834 ], [ -0.0007907575877037207, -0.009140510833312764, -0.011971719185412923, 0.007295837532171206, 0.003898093854160994, -0.0008601002039144118, 0.006639814837588926, -0.00036008744538202925, 0.0006885007053989287 ], [ 0.000860851393442363, 0.0028879150834908883, -0.0019669843247202877, -0.007051159079917266, 0.0011039659088351624, 0.003384059144071837, -0.0007240943912498391, 0.00015098046656992787, -0.00012494230915074673 ], [ -0.0005904432258608573, -0.0005999453627378727, 0.0012024814263066545, 0.0007818822028899672, -0.00045889462197722623, -0.0005967328033194596, 7.274552103767257e-7, 0.0004547172548135259, -0.00027025268074707233 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14234775640714806, -0.07263805242311086, -0.021333273978163373, 0.0056850118185077635 ], [ -0.01576632888239461, -0.014000549434212563, 0.02519939449529898, -0.08971721064944128, -0.12217509711568246, 0.08651697980351096, -0.031956971222260204, -0.005977077107796762, 0.0048736043625549905 ], [ 0.00048867921504905, -0.007849555855056794, -0.014249929694504712, -0.0009594514140569659, 0.00005291802088078273, -0.01106106797905241, -0.004414804588315793, 0.003182344604212754, -0.0016076498989270045 ], [ -0.00032933406634476223, 0.002565077411339196, 0.0007858566539213263, -0.0019234871627193725, 0.0005848993092343658, -0.000839266870993453, 0.0011843713947487222, -0.0009198763732431238, 0.0002766317937009176 ], [ -0.00025179479865673055, -0.0000011787747190477582, -0.00010192184755656016, 0.0002335800290097145, 0.00011623888350876382, 0.00020715334418150346, 0.00003614079875191841, -0.00011803291480239942, 0.00011318945705723839 ] ]

DhcSgYso7sGAEE5haL3sKzP

{"aspect_ratio": 10.07995891132158, "major_radius": 1.0, "max_elongation": 6.147152762910132, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.014723067281630867, -0.283095986462189, 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": [[0.6964209512080648, 0.6964211000875262, 0.6964255615008291, 0.6964544101909182, 0.6965549362828198, 0.6968081112919104, 0.6973306840639724, 0.6982736475721492, 0.6998178073009043, 0.7021671428021337, 0.7055406032583282, 0.7101629217508283, 0.7162549742931964, 0.7240241501136979, 0.7336551401029053, 0.7453014914071697, 0.7590782182896447, 0.7750557029332097, 0.793255065092481, 0.8136451266411131, 0.8361410463047677, 0.8606046514018763, 0.886846447406791, 0.9146292427725471, 0.9436732858734824, 0.973662773326257, 1.0042535545046738, 1.0350818259744714, 1.0657735820503915, 1.0959545639514576, 1.1252604303597538, 1.1533468568638283, 1.1798992611220323, 1.2046418449967682, 1.227345644836494, 1.2478352870508564, 1.2659941587771613, 1.2817677235593519, 1.2951647405337559, 1.3062561838861944, 1.3151717089363788, 1.3220935742883388, 1.3272480090506213, 1.3308941144485495, 1.3333105165898487, 1.334780151703912, 1.3355737836184547, 1.335933156153938, 1.336055133135447, 1.3360789279164274, 1.3360800724213693], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.22716573000125265}

10.079959

1

6.147153

[ [ 0.6964209512080648, 0.6964211000875262, 0.6964255615008291, 0.6964544101909182, 0.6965549362828198, 0.6968081112919104, 0.6973306840639724, 0.6982736475721492, 0.6998178073009043, 0.7021671428021337, 0.7055406032583282, 0.7101629217508283, 0.7162549742931964, 0.7240241501136979, 0.7336551401029053, 0.7453014914071697, 0.7590782182896447, 0.7750557029332097, 0.793255065092481, 0.8136451266411131, 0.8361410463047677, 0.8606046514018763, 0.886846447406791, 0.9146292427725471, 0.9436732858734824, 0.973662773326257, 1.0042535545046738, 1.0350818259744714, 1.0657735820503915, 1.0959545639514576, 1.1252604303597538, 1.1533468568638283, 1.1798992611220323, 1.2046418449967682, 1.227345644836494, 1.2478352870508564, 1.2659941587771613, 1.2817677235593519, 1.2951647405337559, 1.3062561838861944, 1.3151717089363788, 1.3220935742883388, 1.3272480090506213, 1.3308941144485495, 1.3333105165898487, 1.334780151703912, 1.3355737836184547, 1.335933156153938, 1.336055133135447, 1.3360789279164274, 1.3360800724213693 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.014723067281630867, -0.283095986462189, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.227166

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

DARmAxcRmTmEuonTiZMzngc

null

false

null

false

D4j3RFSQU26gcVAU9jwS69V

DbQXb2Xh2ENNXibzgdcRTHK

{"qi": 0.02046842742914941, "vacuum_well": -0.0653814965468498, "aspect_ratio": 8.792802685811932, "max_elongation": 5.00352187835077, "average_triangularity": 0.35608915219447534, "axis_magnetic_mirror_ratio": 0.26472143198757486, "edge_magnetic_mirror_ratio": 0.33394890279307227, "aspect_ratio_over_edge_rotational_transform": -59.2808820341819, "flux_compression_in_regions_of_bad_curvature": 1.026735619308458, "axis_rotational_transform_over_n_field_periods": -0.02500746656568424, "edge_rotational_transform_over_n_field_periods": -0.03708110601636258, "minimum_normalized_magnetic_gradient_scale_length": 0.5986741158723863}

8.792803

-59.280882

0.241829

0.264721

-0.025007

0.333949

-0.037081

1.026736

5.003522

0.598674

0.020468

-0.065381

{"r_cos":[[0.0,0.0,0.0,0.0,0.9689251461919494,0.038068636077352135,-0.006134330116238854,-0.005567877886933621,-0.0019035565177849048],[0.0008658794448803398,0.0010626221061914077,-0.017640230867719583,0.07490654331310348,-0.1253117595489769,-0.08701449843812889,-0.04204588334715519,-0.0024609082299239648,-0.003961916271901012],[0.0004255668942081905,-0.0006293325513488685,-0.0033421346442109407,0.010229354689979746,0.0029312583321072644,-0.01490055591768312,-0.012556179433732668,-0.004426635566740758,-0.0009075077329851808],[-0.0003728791647104713,0.0019163408236730357,-0.005208726823368992,0.004716149925017223,0.0020872900377395982,-0.00879088436894147,0.008577192719441754,0.003847011284382149,0.000698962474998939],[0.00004886358344299315,0.00002180412164062872,-0.0002983639080115722,-0.0001102917545820082,0.001120252004348719,-0.00014904970302018206,-0.00002698854323320547,-0.00012864498150432738,-0.0005670957352617939]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.10057261118649781,-0.011895725551823257,-0.0030384902974545797,0.0006367087869978672],[-0.00043620626839129483,-0.0025056040743406394,0.0011372722343336184,-0.013665821577187926,0.07973417046608199,0.00360041532605492,-0.01835052484022808,-0.006837664180046639,-0.002341273377061183],[0.00005161147824924494,-0.0009997884938958538,0.0006525956177201274,-0.0076934912128339,0.008426513314212958,0.01066600549978157,0.005652665514191027,0.0007516856772939341,-0.00033990679102053895],[-0.000018833239531935276,-0.000593411203300884,0.001589158788707166,-0.0035916569777963495,0.002033861405529343,0.0034417292692631076,-0.0031334297175356273,0.00003051550603994465,0.00011407841526348851],[0.00007367787455113471,-0.0001904321604360326,0.00024078674400855615,-0.0003907012287865547,-0.000049777986997598,0.00040982120257386804,-0.00025378809325932107,0.00015458614143282884,-0.00010549570975197458]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9689251461919494, 0.038068636077352135, -0.006134330116238854, -0.005567877886933621, -0.0019035565177849048 ], [ 0.0008658794448803398, 0.0010626221061914077, -0.017640230867719583, 0.07490654331310348, -0.1253117595489769, -0.08701449843812889, -0.04204588334715519, -0.0024609082299239648, -0.003961916271901012 ], [ 0.0004255668942081905, -0.0006293325513488685, -0.0033421346442109407, 0.010229354689979746, 0.0029312583321072644, -0.01490055591768312, -0.012556179433732668, -0.004426635566740758, -0.0009075077329851808 ], [ -0.0003728791647104713, 0.0019163408236730357, -0.005208726823368992, 0.004716149925017223, 0.0020872900377395982, -0.00879088436894147, 0.008577192719441754, 0.003847011284382149, 0.000698962474998939 ], [ 0.00004886358344299315, 0.00002180412164062872, -0.0002983639080115722, -0.0001102917545820082, 0.001120252004348719, -0.00014904970302018206, -0.00002698854323320547, -0.00012864498150432738, -0.0005670957352617939 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.10057261118649781, -0.011895725551823257, -0.0030384902974545797, 0.0006367087869978672 ], [ -0.00043620626839129483, -0.0025056040743406394, 0.0011372722343336184, -0.013665821577187926, 0.07973417046608199, 0.00360041532605492, -0.01835052484022808, -0.006837664180046639, -0.002341273377061183 ], [ 0.00005161147824924494, -0.0009997884938958538, 0.0006525956177201274, -0.0076934912128339, 0.008426513314212958, 0.01066600549978157, 0.005652665514191027, 0.0007516856772939341, -0.00033990679102053895 ], [ -0.000018833239531935276, -0.000593411203300884, 0.001589158788707166, -0.0035916569777963495, 0.002033861405529343, 0.0034417292692631076, -0.0031334297175356273, 0.00003051550603994465, 0.00011407841526348851 ], [ 0.00007367787455113471, -0.0001904321604360326, 0.00024078674400855615, -0.0003907012287865547, -0.000049777986997598, 0.00040982120257386804, -0.00025378809325932107, 0.00015458614143282884, -0.00010549570975197458 ] ]

DFqFvCCdaUsvyiuDeEXC2pW

{"aspect_ratio": 7.741344258845653, "major_radius": 1.0, "max_elongation": 5.311078696276612, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.24832838151770673, -0.07540341498674082, 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": [[0.8072927223576574, 0.8072938468931875, 0.8073087683552537, 0.8073678827937444, 0.8075157905122331, 0.8078082006708877, 0.8083093675796857, 0.8090898334875559, 0.8102243886486468, 0.8117902026998687, 0.8138651003255156, 0.8165259639993903, 0.8198472522782851, 0.8238996256926807, 0.8287486746765489, 0.8344537456765884, 0.8410668628462226, 0.8486317437167317, 0.8571829080435651, 0.8667448797135038, 0.8773314822115577, 0.8889452287172523, 0.9015768084532446, 0.9152046714660562, 0.9297947145984193, 0.9453000720344614, 0.9616610144832562, 0.9788049618365542, 0.9966466150207768, 1.0150882137963833, 1.0340199284838962, 1.0533203950732997, 1.0728574049796962, 1.0924887629484974, 1.1120633294341626, 1.1314222673841272, 1.1504005180520047, 1.1688285366810496, 1.1865343273052436, 1.2033458275460898, 1.2190937108005335, 1.2336146973897455, 1.2467555028885347, 1.258377609798336, 1.268363145112222, 1.2766223171075508, 1.2831031928493335, 1.2878053006014099, 1.2908002986990976, 1.2922685938248857, 1.2925927894545728], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5054917803006731}

7.741344

1

5.311079

[ [ 0.8072927223576574, 0.8072938468931875, 0.8073087683552537, 0.8073678827937444, 0.8075157905122331, 0.8078082006708877, 0.8083093675796857, 0.8090898334875559, 0.8102243886486468, 0.8117902026998687, 0.8138651003255156, 0.8165259639993903, 0.8198472522782851, 0.8238996256926807, 0.8287486746765489, 0.8344537456765884, 0.8410668628462226, 0.8486317437167317, 0.8571829080435651, 0.8667448797135038, 0.8773314822115577, 0.8889452287172523, 0.9015768084532446, 0.9152046714660562, 0.9297947145984193, 0.9453000720344614, 0.9616610144832562, 0.9788049618365542, 0.9966466150207768, 1.0150882137963833, 1.0340199284838962, 1.0533203950732997, 1.0728574049796962, 1.0924887629484974, 1.1120633294341626, 1.1314222673841272, 1.1504005180520047, 1.1688285366810496, 1.1865343273052436, 1.2033458275460898, 1.2190937108005335, 1.2336146973897455, 1.2467555028885347, 1.258377609798336, 1.268363145112222, 1.2766223171075508, 1.2831031928493335, 1.2878053006014099, 1.2908002986990976, 1.2922685938248857, 1.2925927894545728 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.24832838151770673, -0.07540341498674082, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.505492

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

D2ifUZSodcaiNFXPnWUgSq6

null

false

null

false

DV3GvdLWtCGef9VyJoZDQi5

DZYNUXj83JKcLFD6whTVD9d

{"qi": 0.002211641173847734, "vacuum_well": -0.12887925557659988, "aspect_ratio": 9.5493235409745, "max_elongation": 6.916077405124052, "average_triangularity": -0.39192630620574564, "axis_magnetic_mirror_ratio": 0.3126093784310475, "edge_magnetic_mirror_ratio": 0.40474708090825956, "aspect_ratio_over_edge_rotational_transform": 25.6722706481338, "flux_compression_in_regions_of_bad_curvature": 1.2671489420787774, "axis_rotational_transform_over_n_field_periods": 0.16651038873764357, "edge_rotational_transform_over_n_field_periods": 0.09299258791575446, "minimum_normalized_magnetic_gradient_scale_length": 3.848803684807249}

9.549324

25.672271

-0.44375

0.312609

0.16651

0.404747

0.092993

1.267149

6.916077

3.848804

0.002212

-0.128879

{"r_cos":[[0.0,0.0,0.0,0.0,0.9972145899197274,-0.04042067220481797,-0.010729831739341554,0.005426618282939818,-0.000841941724978802],[-0.0010486074933995814,-0.004080357853941088,0.0006832083708490301,-0.0375797527696374,0.15791180963898657,-0.0262343524689083,-0.006789070931473526,0.0009410517291108284,-0.0004374201595598263],[-0.001020010511530107,-0.00017740653225573532,0.007047890047420197,0.024559948300862333,-0.024757326117307136,-0.004033078920730109,0.004784862942022057,0.0017543379836743342,-0.0006342757342221344],[-0.0003006382172273572,-0.00019892090897206252,-0.000837302021660111,-0.0007205669729048695,0.005257728751221446,-0.0009626939336929397,0.0002347089877975956,-0.0003236798815193007,-9.370109802198096e-6],[-0.00010929898146848276,-0.00044429988885734276,-0.0001721970909864574,0.0013281353372859971,-0.00017952694261171208,-0.00020821695783357873,0.0004260851940405589,-0.00003503055699714168,-0.00001916721525634753]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.09441715271415345,0.022557984837567196,-0.004546823092036485,0.00018116390175033394],[0.0011166686302196117,0.001761245677720038,0.01939896276719824,-0.07979115713076503,-0.08537591300517082,0.07962296855248753,-0.014145587652471722,-0.000523935851556873,0.0003688758326088706],[-0.00017029347618193494,0.0010769692920938817,0.0012148424286181725,0.002320232288617853,-0.01978478554610444,0.005366383435572034,-0.00015048528636935673,0.00007669512634845719,-0.000010636019890085887],[-0.0004850222036019076,-0.000731014489954317,0.0007292309438059917,0.00324560769867587,-0.0036869178441835417,0.0010531517788804345,-0.0033959476816782155,0.0009107791060387058,-0.00015536626894082614],[-0.0002489277730377876,-0.00003689494189451902,0.0009652090321069409,-0.0002310765130198751,-0.0011061785396535744,0.001018767924505842,-0.00038852605045175815,-0.00035346934869295176,-0.000041413297686752776]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9972145899197274, -0.04042067220481797, -0.010729831739341554, 0.005426618282939818, -0.000841941724978802 ], [ -0.0010486074933995814, -0.004080357853941088, 0.0006832083708490301, -0.0375797527696374, 0.15791180963898657, -0.0262343524689083, -0.006789070931473526, 0.0009410517291108284, -0.0004374201595598263 ], [ -0.001020010511530107, -0.00017740653225573532, 0.007047890047420197, 0.024559948300862333, -0.024757326117307136, -0.004033078920730109, 0.004784862942022057, 0.0017543379836743342, -0.0006342757342221344 ], [ -0.0003006382172273572, -0.00019892090897206252, -0.000837302021660111, -0.0007205669729048695, 0.005257728751221446, -0.0009626939336929397, 0.0002347089877975956, -0.0003236798815193007, -0.000009370109802198096 ], [ -0.00010929898146848276, -0.00044429988885734276, -0.0001721970909864574, 0.0013281353372859971, -0.00017952694261171208, -0.00020821695783357873, 0.0004260851940405589, -0.00003503055699714168, -0.00001916721525634753 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.09441715271415345, 0.022557984837567196, -0.004546823092036485, 0.00018116390175033394 ], [ 0.0011166686302196117, 0.001761245677720038, 0.01939896276719824, -0.07979115713076503, -0.08537591300517082, 0.07962296855248753, -0.014145587652471722, -0.000523935851556873, 0.0003688758326088706 ], [ -0.00017029347618193494, 0.0010769692920938817, 0.0012148424286181725, 0.002320232288617853, -0.01978478554610444, 0.005366383435572034, -0.00015048528636935673, 0.00007669512634845719, -0.000010636019890085887 ], [ -0.0004850222036019076, -0.000731014489954317, 0.0007292309438059917, 0.00324560769867587, -0.0036869178441835417, 0.0010531517788804345, -0.0033959476816782155, 0.0009107791060387058, -0.00015536626894082614 ], [ -0.0002489277730377876, -0.00003689494189451902, 0.0009652090321069409, -0.0002310765130198751, -0.0011061785396535744, 0.001018767924505842, -0.00038852605045175815, -0.00035346934869295176, -0.000041413297686752776 ] ]

DTtFzcEbNv2bowWxsE5W54L

{"aspect_ratio": 10.734552028501446, "major_radius": 1.0, "max_elongation": 6.481269867760845, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.06565650977698297, -0.10796351921975544, 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": [[0.7493788976093307, 0.7493789043121061, 0.7493791676434439, 0.7493812193749904, 0.7493895018229436, 0.7494131352577393, 0.7494676480141905, 0.7495765762168112, 0.7497728707106218, 0.7501000659967209, 0.7506131773029756, 0.7513793001452546, 0.7524778931294224, 0.7540007299833794, 0.7560515112852018, 0.7587451303157694, 0.762206591078847, 0.766569579917531, 0.7719746954036895, 0.7785673443594446, 0.7864953150497046, 0.7959060418199492, 0.806943578800456, 0.8197453038155736, 0.8344383773885422, 0.8511359857915667, 0.8699334015431501, 0.8909038997038612, 0.9140945738962563, 0.9395221023369075, 0.9671685215269787, 0.9969770738752934, 1.028848205786784, 1.0626358051295786, 1.0981437821699929, 1.1351231169819724, 1.173269520350118, 1.2122218862771132, 1.2515617553585896, 1.2908140641124408, 1.3294495332143077, 1.3668891597229376, 1.402511445972772, 1.435663259558165, 1.4656756499120385, 1.4918867051239428, 1.5136749827014437, 1.5305101503733591, 1.5420352633583205, 1.5482204260833827, 1.549777172384082], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4808875508154932}

10.734552

1

6.48127

[ [ 0.7493788976093307, 0.7493789043121061, 0.7493791676434439, 0.7493812193749904, 0.7493895018229436, 0.7494131352577393, 0.7494676480141905, 0.7495765762168112, 0.7497728707106218, 0.7501000659967209, 0.7506131773029756, 0.7513793001452546, 0.7524778931294224, 0.7540007299833794, 0.7560515112852018, 0.7587451303157694, 0.762206591078847, 0.766569579917531, 0.7719746954036895, 0.7785673443594446, 0.7864953150497046, 0.7959060418199492, 0.806943578800456, 0.8197453038155736, 0.8344383773885422, 0.8511359857915667, 0.8699334015431501, 0.8909038997038612, 0.9140945738962563, 0.9395221023369075, 0.9671685215269787, 0.9969770738752934, 1.028848205786784, 1.0626358051295786, 1.0981437821699929, 1.1351231169819724, 1.173269520350118, 1.2122218862771132, 1.2515617553585896, 1.2908140641124408, 1.3294495332143077, 1.3668891597229376, 1.402511445972772, 1.435663259558165, 1.4656756499120385, 1.4918867051239428, 1.5136749827014437, 1.5305101503733591, 1.5420352633583205, 1.5482204260833827, 1.549777172384082 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.06565650977698297, -0.10796351921975544, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.480888

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

DWavp99u3zVsJDgHF6LPNz6

null

false

null

false

DHQruJAebPkXxr95CVRHRjW

DJRdAirV9V9wqZtxuVWZgm7

{"qi": 0.002469443621797973, "vacuum_well": -0.15442659809060072, "aspect_ratio": 9.635142183266082, "max_elongation": 7.1228124769006085, "average_triangularity": 0.014348398740201329, "axis_magnetic_mirror_ratio": 0.2995615390655537, "edge_magnetic_mirror_ratio": 0.414738268258272, "aspect_ratio_over_edge_rotational_transform": 8.513476498891773, "flux_compression_in_regions_of_bad_curvature": 1.3056399349151313, "axis_rotational_transform_over_n_field_periods": 0.2297812857318607, "edge_rotational_transform_over_n_field_periods": 0.22635035603893003, "minimum_normalized_magnetic_gradient_scale_length": 8.883030090965699}

9.635142

8.513476

0.208016

0.299562

0.229781

0.414738

0.22635

1.30564

7.122812

8.88303

0.002469

-0.154427

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.039434087089665816,0.0014907003558404025,-0.0006090456704278432,4.42420649169814e-6],[0.00020483758392060493,0.0022610372182459365,-0.011167935141576917,0.07857789297144538,0.09271218967611586,-0.03516223327663944,0.0080827773424502,-0.0014617594338617677,0.0005956009185518507],[-0.000012065670960412041,0.0021157858599098025,0.0026940636528250224,-0.035704709304752905,0.012872957720341156,-0.012600780547785653,0.002161062263475259,-0.0001301608998489762,0.00010235921956208298],[-0.00012468324991263182,-0.000607162094563146,-0.0022274731618949347,0.0023375704534050025,0.0028149031024578544,-0.004332734036776257,0.0018760644376217116,-0.0002734701259674991,0.000043428371311259536],[-0.00017221028702598995,-0.0003899809898062355,0.0008298214114848853,-0.0012910315157110047,-0.0008176252962761197,-0.00003764661592140493,0.0002891600029490938,-0.00010940689422279373,0.000018504900720475267]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.00396113938777031,0.004348809643396451,-0.0009424062446942655,0.00009757782321777667],[-0.0005851288369061401,0.0005491051747432358,0.0037654627670050127,0.06602776036964889,-0.17368389256516226,0.04785163819428649,-0.005030150234784858,-0.0005543408258570168,-0.00022765385076124094],[0.0004330482171167354,-0.00022244246397171976,0.00025613793149002403,-0.027744340436764835,-0.011085962266369265,0.018217820391298673,-0.006722926128173544,0.0013216296118787095,-0.00014109140145961738],[-0.00010546262595936812,-0.0002774594293582587,-0.004827483977747814,-0.0010171381147411845,0.0003774136544688095,0.001832627199120593,-0.0013094635749099936,0.0005466375514756859,-0.00008778814329464676],[-0.00005522239236122322,0.00005367746792316138,0.0006787975366572465,0.00022741898082916654,-0.00011809686121452118,0.0002902918141150394,-0.00011418496435825458,0.00011564103099832497,-0.000012224837725351568]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.039434087089665816, 0.0014907003558404025, -0.0006090456704278432, 0.00000442420649169814 ], [ 0.00020483758392060493, 0.0022610372182459365, -0.011167935141576917, 0.07857789297144538, 0.09271218967611586, -0.03516223327663944, 0.0080827773424502, -0.0014617594338617677, 0.0005956009185518507 ], [ -0.000012065670960412041, 0.0021157858599098025, 0.0026940636528250224, -0.035704709304752905, 0.012872957720341156, -0.012600780547785653, 0.002161062263475259, -0.0001301608998489762, 0.00010235921956208298 ], [ -0.00012468324991263182, -0.000607162094563146, -0.0022274731618949347, 0.0023375704534050025, 0.0028149031024578544, -0.004332734036776257, 0.0018760644376217116, -0.0002734701259674991, 0.000043428371311259536 ], [ -0.00017221028702598995, -0.0003899809898062355, 0.0008298214114848853, -0.0012910315157110047, -0.0008176252962761197, -0.00003764661592140493, 0.0002891600029490938, -0.00010940689422279373, 0.000018504900720475267 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.00396113938777031, 0.004348809643396451, -0.0009424062446942655, 0.00009757782321777667 ], [ -0.0005851288369061401, 0.0005491051747432358, 0.0037654627670050127, 0.06602776036964889, -0.17368389256516226, 0.04785163819428649, -0.005030150234784858, -0.0005543408258570168, -0.00022765385076124094 ], [ 0.0004330482171167354, -0.00022244246397171976, 0.00025613793149002403, -0.027744340436764835, -0.011085962266369265, 0.018217820391298673, -0.006722926128173544, 0.0013216296118787095, -0.00014109140145961738 ], [ -0.00010546262595936812, -0.0002774594293582587, -0.004827483977747814, -0.0010171381147411845, 0.0003774136544688095, 0.001832627199120593, -0.0013094635749099936, 0.0005466375514756859, -0.00008778814329464676 ], [ -0.00005522239236122322, 0.00005367746792316138, 0.0006787975366572465, 0.00022741898082916654, -0.00011809686121452118, 0.0002902918141150394, -0.00011418496435825458, 0.00011564103099832497, -0.000012224837725351568 ] ]

DbLgvb9mxGGCPmKtjHnqXEo

{"aspect_ratio": 11.181149492625842, "major_radius": 1.0, "max_elongation": 6.677174678195488, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2113720638358717, -0.009306633611596357, 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": [[0.6563677245769277, 0.6563677516606198, 0.6563689514077388, 0.6563788403272611, 0.6564198037514183, 0.6565376357567669, 0.6568084626306542, 0.6573432557978329, 0.6582895907109836, 0.659830598188375, 0.6621812543291248, 0.6655822950865969, 0.6702921382916069, 0.6765772594454363, 0.6847015046759556, 0.6949148396885393, 0.7074420309924526, 0.7224717380244292, 0.7401464643872245, 0.7605537752714986, 0.7837191379728436, 0.8096006847999433, 0.8380861340023498, 0.8689920359320709, 0.9020654397230027, 0.9369880015064652, 0.9733824797287196, 1.0108214876324495, 1.0488382985460933, 1.0869394274481397, 1.124618643528438, 1.1613720043991256, 1.1967134445323149, 1.2301903998390888, 1.261398908605531, 1.2899975979907727, 1.3157199469209302, 1.3383842127340027, 1.3579004230004659, 1.3742738687693012, 1.387604595044421, 1.398082473657161, 1.405977569569611, 1.4116256832265264, 1.415409182107189, 1.4177335442251793, 1.4190004576927828, 1.4195789116332422, 1.4197765904024253, 1.4198153191745826, 1.4198171806533901], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1394069902916002}

11.181149

1

6.677175

[ [ 0.6563677245769277, 0.6563677516606198, 0.6563689514077388, 0.6563788403272611, 0.6564198037514183, 0.6565376357567669, 0.6568084626306542, 0.6573432557978329, 0.6582895907109836, 0.659830598188375, 0.6621812543291248, 0.6655822950865969, 0.6702921382916069, 0.6765772594454363, 0.6847015046759556, 0.6949148396885393, 0.7074420309924526, 0.7224717380244292, 0.7401464643872245, 0.7605537752714986, 0.7837191379728436, 0.8096006847999433, 0.8380861340023498, 0.8689920359320709, 0.9020654397230027, 0.9369880015064652, 0.9733824797287196, 1.0108214876324495, 1.0488382985460933, 1.0869394274481397, 1.124618643528438, 1.1613720043991256, 1.1967134445323149, 1.2301903998390888, 1.261398908605531, 1.2899975979907727, 1.3157199469209302, 1.3383842127340027, 1.3579004230004659, 1.3742738687693012, 1.387604595044421, 1.398082473657161, 1.405977569569611, 1.4116256832265264, 1.415409182107189, 1.4177335442251793, 1.4190004576927828, 1.4195789116332422, 1.4197765904024253, 1.4198153191745826, 1.4198171806533901 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2113720638358717, -0.009306633611596357, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.139407

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

DVmJKdVgxavvwpzSjyMk9UY

null

false

null

false

DCYYkFDAApJAvFbf5hPCK7N

DUxXQyANdLnFi6AXahNosma

{"qi": 0.027837528117726943, "vacuum_well": -0.23685982634988606, "aspect_ratio": 6.193413002110889, "max_elongation": 9.914105257157056, "average_triangularity": 0.046088344804412096, "axis_magnetic_mirror_ratio": 0.5251189082277471, "edge_magnetic_mirror_ratio": 0.7998808010295088, "aspect_ratio_over_edge_rotational_transform": 5.392851706796963, "flux_compression_in_regions_of_bad_curvature": 2.4483488864935175, "axis_rotational_transform_over_n_field_periods": 0.2999319129209136, "edge_rotational_transform_over_n_field_periods": 0.3828162005830129, "minimum_normalized_magnetic_gradient_scale_length": 3.3356411605335605}

6.193413

5.392852

-0.276861

0.525119

0.299932

0.799881

0.382816

2.448349

9.914105

3.335641

0.027838

-0.23686

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.37047177612845955,-0.012266553263666602,-0.02631577181628819,-0.0037823673393979737],[0.004055499986961087,0.027232464304474804,0.05106720276632061,-0.11632579499638776,0.1149089117315692,0.02949750159879836,-0.02170679190372211,-0.008255234813760129,0.00020695611948987384],[-0.0028839393089643097,-0.013848294075011277,-0.005455852175587973,-0.002719309708602905,-0.027998779038507036,-0.012885525489507369,-0.002183093005332203,-0.002991340762209761,-0.0011212161987791988],[0.0016130844756436676,-0.0019337999467352656,0.00362343354660186,-0.005352426776888769,0.0011832485992275875,-0.0011062538914187662,0.0010095965311856777,-0.0007029999239188551,-0.0003172225032153181],[-0.0002321672028344659,-0.00029008329741539646,-0.00014243067102495728,0.00041321842161149997,-0.0004267833172580452,0.00013361279338316382,-0.00031524936172971094,0.00007619343807950486,-0.00003795790676372151]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06698865290973337,-0.029009997757666595,0.009023784874653575,0.004886626988417122],[0.005367321830171322,0.014841147361732048,0.05019293904344105,-0.008826626447745081,-0.18561939456125096,0.001091784210042298,0.024993388819954346,0.004988943285340433,-0.0004155786351321476],[0.0018128986764900292,-0.02136523554493671,-0.0006137985343720393,-0.010371638834225629,0.014957409994625095,0.009683736350583429,0.008997495536968658,0.0011426419095932738,0.00028985429488569993],[-0.0005802576672328873,0.0037262029891160023,-0.006773849786378399,0.006785055203906953,-0.0014764453695349032,-0.0018038880985676757,-0.001808389527373771,0.00126554521092744,0.00015599599273335863],[0.00006444621035778112,-0.0013023102310639495,0.0013950359840078324,-0.0013186791140699906,-0.00030796808762944584,-0.00012176112568398673,0.0002645405645790481,0.00004269106792312988,-0.00002248661420873406]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.37047177612845955, -0.012266553263666602, -0.02631577181628819, -0.0037823673393979737 ], [ 0.004055499986961087, 0.027232464304474804, 0.05106720276632061, -0.11632579499638776, 0.1149089117315692, 0.02949750159879836, -0.02170679190372211, -0.008255234813760129, 0.00020695611948987384 ], [ -0.0028839393089643097, -0.013848294075011277, -0.005455852175587973, -0.002719309708602905, -0.027998779038507036, -0.012885525489507369, -0.002183093005332203, -0.002991340762209761, -0.0011212161987791988 ], [ 0.0016130844756436676, -0.0019337999467352656, 0.00362343354660186, -0.005352426776888769, 0.0011832485992275875, -0.0011062538914187662, 0.0010095965311856777, -0.0007029999239188551, -0.0003172225032153181 ], [ -0.0002321672028344659, -0.00029008329741539646, -0.00014243067102495728, 0.00041321842161149997, -0.0004267833172580452, 0.00013361279338316382, -0.00031524936172971094, 0.00007619343807950486, -0.00003795790676372151 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06698865290973337, -0.029009997757666595, 0.009023784874653575, 0.004886626988417122 ], [ 0.005367321830171322, 0.014841147361732048, 0.05019293904344105, -0.008826626447745081, -0.18561939456125096, 0.001091784210042298, 0.024993388819954346, 0.004988943285340433, -0.0004155786351321476 ], [ 0.0018128986764900292, -0.02136523554493671, -0.0006137985343720393, -0.010371638834225629, 0.014957409994625095, 0.009683736350583429, 0.008997495536968658, 0.0011426419095932738, 0.00028985429488569993 ], [ -0.0005802576672328873, 0.0037262029891160023, -0.006773849786378399, 0.006785055203906953, -0.0014764453695349032, -0.0018038880985676757, -0.001808389527373771, 0.00126554521092744, 0.00015599599273335863 ], [ 0.00006444621035778112, -0.0013023102310639495, 0.0013950359840078324, -0.0013186791140699906, -0.00030796808762944584, -0.00012176112568398673, 0.0002645405645790481, 0.00004269106792312988, -0.00002248661420873406 ] ]

D2z7dgQZM2yWB3jnKEcWSta

{"aspect_ratio": 5.780811672503849, "major_radius": 1.0, "max_elongation": 6.67451661151068, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.36624197033043315, -0.18252074931579967, 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": [[0.5698218459277653, 0.5701230391393424, 0.5719103906653662, 0.5761225989694266, 0.5833351567982311, 0.5938537323906851, 0.6077744334105223, 0.6250300228558726, 0.6454275161496209, 0.6686795673300013, 0.6944309704050955, 0.7222811162676014, 0.7518029937256647, 0.7825591784362533, 0.8141151634824036, 0.8460503256782407, 0.8779667800375748, 0.9094963444431012, 0.940305813491886, 0.9701007223931088, 0.9986277671526655, 1.0256760351104628, 1.051077189533328, 1.0747047429455563, 1.0964725458692026, 1.116332610405404, 1.134272381435431, 1.150311562017401, 1.1644985936934171, 1.1769068868152925, 1.18763089057335, 1.1967820871110648, 1.204484988874869, 1.2108732131342266, 1.2160857023653109, 1.2202631538755813, 1.223544716607646, 1.2260650074458899, 1.2279514934980997, 1.2293222806653303, 1.2302843422587935, 1.2309322143611414, 1.2313471769141122, 1.231596930944311, 1.231735772628241, 1.2318052536213804, 1.2318353035655774, 1.2318457738177933, 1.2318483391301691, 1.2318486618646542, 1.231848669766539], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8151215717100118}

5.780812

1

6.674517

[ [ 0.5698218459277653, 0.5701230391393424, 0.5719103906653662, 0.5761225989694266, 0.5833351567982311, 0.5938537323906851, 0.6077744334105223, 0.6250300228558726, 0.6454275161496209, 0.6686795673300013, 0.6944309704050955, 0.7222811162676014, 0.7518029937256647, 0.7825591784362533, 0.8141151634824036, 0.8460503256782407, 0.8779667800375748, 0.9094963444431012, 0.940305813491886, 0.9701007223931088, 0.9986277671526655, 1.0256760351104628, 1.051077189533328, 1.0747047429455563, 1.0964725458692026, 1.116332610405404, 1.134272381435431, 1.150311562017401, 1.1644985936934171, 1.1769068868152925, 1.18763089057335, 1.1967820871110648, 1.204484988874869, 1.2108732131342266, 1.2160857023653109, 1.2202631538755813, 1.223544716607646, 1.2260650074458899, 1.2279514934980997, 1.2293222806653303, 1.2302843422587935, 1.2309322143611414, 1.2313471769141122, 1.231596930944311, 1.231735772628241, 1.2318052536213804, 1.2318353035655774, 1.2318457738177933, 1.2318483391301691, 1.2318486618646542, 1.231848669766539 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.36624197033043315, -0.18252074931579967, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.815122

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

DZUB6yN2SpgZ7je2s4wiLLe

null

false

null

false

DWhTgTh2Sxxhm6WAdVT9piN

DTjLBMpSzRgBQ5m7dPaYpT8

{"qi": 0.004027253970032358, "vacuum_well": -0.16308425134354013, "aspect_ratio": 9.728198712257491, "max_elongation": 4.582609524250303, "average_triangularity": -0.45938975796014825, "axis_magnetic_mirror_ratio": 0.3070196136333443, "edge_magnetic_mirror_ratio": 0.3767555915256104, "aspect_ratio_over_edge_rotational_transform": 25.641476628247425, "flux_compression_in_regions_of_bad_curvature": 0.8841174027235649, "axis_rotational_transform_over_n_field_periods": 0.12167891305884716, "edge_rotational_transform_over_n_field_periods": 0.09484826920557116, "minimum_normalized_magnetic_gradient_scale_length": 4.339470836409201}

9.728199

25.641477

-0.827288

0.30702

0.121679

0.376756

0.094848

0.884117

4.58261

4.339471

0.004027

-0.163084

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.055153017349947875,-0.011910129704850482,0.0044339923051238414,-0.0010739436013363574],[-0.002187537387390249,0.001324475505514189,0.022690263631476994,-0.02373164062276104,0.08718513527486776,0.013840630865725168,-0.010827131355759478,0.0019895476616073712,-0.0005673933707749335],[0.002311660390986415,-0.003509730879242309,-0.015592957876488558,0.02154973300919265,-0.00172656838307033,0.005412153108255557,-0.0024737311133364703,0.0000613437816597152,0.000028782994771606868],[-0.0012548125581827597,-0.0002781094096606737,0.005965656618256313,-0.0025047632019783526,0.0036215162477096162,-0.00015702115274972023,-0.0007375476305516706,-0.0006928198821826298,-0.00036338809957118135],[0.00009171286778722052,0.00005807842254597329,-0.0009584029130155911,0.00006768306030662576,-0.0013800026058716176,-0.0004915690181426244,-0.00051668965902847,-0.00040359915285131785,-0.00008241368220996888]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0718332877449172,-0.0015998403884296666,0.0020087036536174338,0.001240785282454698],[-0.0010152574634763427,0.00031139431156845484,0.03346269441562742,0.006360216610459626,-0.14931294493051644,0.037843148453343925,0.00031862839884825786,-0.000019072511608942652,-0.0008076824054123561],[0.0017416956253458343,-0.0004925088638465362,-0.020012540847528563,0.007494702583476568,-0.009756505370704256,-0.003961110909833537,0.0009031321813536396,-0.0003504940559244096,-0.00025874182018767813],[-0.0008602080978337128,-0.00008028322794048995,0.005356057848690109,-0.0051651894407156555,-0.0017119133268927462,-0.002789676185214805,-0.0003633427055458132,0.0005929010264349877,0.0002047757230811134],[-0.00009584702759889845,-0.00005212946254438879,-0.0011092789097960818,-0.0006564898421112501,0.00006668178585352426,0.00028314409135247684,0.00041442681897801086,0.0003182865233539131,0.00009662837290563829]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.055153017349947875, -0.011910129704850482, 0.0044339923051238414, -0.0010739436013363574 ], [ -0.002187537387390249, 0.001324475505514189, 0.022690263631476994, -0.02373164062276104, 0.08718513527486776, 0.013840630865725168, -0.010827131355759478, 0.0019895476616073712, -0.0005673933707749335 ], [ 0.002311660390986415, -0.003509730879242309, -0.015592957876488558, 0.02154973300919265, -0.00172656838307033, 0.005412153108255557, -0.0024737311133364703, 0.0000613437816597152, 0.000028782994771606868 ], [ -0.0012548125581827597, -0.0002781094096606737, 0.005965656618256313, -0.0025047632019783526, 0.0036215162477096162, -0.00015702115274972023, -0.0007375476305516706, -0.0006928198821826298, -0.00036338809957118135 ], [ 0.00009171286778722052, 0.00005807842254597329, -0.0009584029130155911, 0.00006768306030662576, -0.0013800026058716176, -0.0004915690181426244, -0.00051668965902847, -0.00040359915285131785, -0.00008241368220996888 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0718332877449172, -0.0015998403884296666, 0.0020087036536174338, 0.001240785282454698 ], [ -0.0010152574634763427, 0.00031139431156845484, 0.03346269441562742, 0.006360216610459626, -0.14931294493051644, 0.037843148453343925, 0.00031862839884825786, -0.000019072511608942652, -0.0008076824054123561 ], [ 0.0017416956253458343, -0.0004925088638465362, -0.020012540847528563, 0.007494702583476568, -0.009756505370704256, -0.003961110909833537, 0.0009031321813536396, -0.0003504940559244096, -0.00025874182018767813 ], [ -0.0008602080978337128, -0.00008028322794048995, 0.005356057848690109, -0.0051651894407156555, -0.0017119133268927462, -0.002789676185214805, -0.0003633427055458132, 0.0005929010264349877, 0.0002047757230811134 ], [ -0.00009584702759889845, -0.00005212946254438879, -0.0011092789097960818, -0.0006564898421112501, 0.00006668178585352426, 0.00028314409135247684, 0.00041442681897801086, 0.0003182865233539131, 0.00009662837290563829 ] ]

DdxpTbGuuhgSBFmMEB7eU5q

{"aspect_ratio": 9.499874172029465, "major_radius": 1.0, "max_elongation": 6.1891309310948275, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.16418928650499517, 0.4556794579512395, 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": [[0.7721044278893092, 0.7721044704978675, 0.7721055522824948, 0.772111991749864, 0.7721334980618344, 0.7721866259902206, 0.7722958114374354, 0.7724940717216752, 0.772823418372474, 0.7733350143878915, 0.7740890994533597, 0.7751547015414205, 0.7766091500200165, 0.7785374031543855, 0.7810312013075749, 0.784188056009111, 0.7881100842401272, 0.7929026966951306, 0.7986731483737278, 0.8055289595966513, 0.8135762154083, 0.8229177513104792, 0.8336512333635844, 0.8458671408923041, 0.8596466603484614, 0.8750594993247405, 0.8921616302967047, 0.9109929744209451, 0.9315750366678757, 0.9539085047642097, 0.9779708259244521, 1.0037137772474511, 1.0310610480597098, 1.059905855564415, 1.0901086191343434, 1.12149472380001, 1.1538524104200403, 1.186930839413734, 1.2204383879208325, 1.254041258635052, 1.2873625053026951, 1.3199816200568866, 1.3514348904408857, 1.3812168362736998, 1.408783212877128, 1.433556392728351, 1.454934593628723, 1.4723079089502946, 1.4850880921662757, 1.4927732131673088, 1.4951669587075345], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.429775155348531}

9.499874

1

6.189131

[ [ 0.7721044278893092, 0.7721044704978675, 0.7721055522824948, 0.772111991749864, 0.7721334980618344, 0.7721866259902206, 0.7722958114374354, 0.7724940717216752, 0.772823418372474, 0.7733350143878915, 0.7740890994533597, 0.7751547015414205, 0.7766091500200165, 0.7785374031543855, 0.7810312013075749, 0.784188056009111, 0.7881100842401272, 0.7929026966951306, 0.7986731483737278, 0.8055289595966513, 0.8135762154083, 0.8229177513104792, 0.8336512333635844, 0.8458671408923041, 0.8596466603484614, 0.8750594993247405, 0.8921616302967047, 0.9109929744209451, 0.9315750366678757, 0.9539085047642097, 0.9779708259244521, 1.0037137772474511, 1.0310610480597098, 1.059905855564415, 1.0901086191343434, 1.12149472380001, 1.1538524104200403, 1.186930839413734, 1.2204383879208325, 1.254041258635052, 1.2873625053026951, 1.3199816200568866, 1.3514348904408857, 1.3812168362736998, 1.408783212877128, 1.433556392728351, 1.454934593628723, 1.4723079089502946, 1.4850880921662757, 1.4927732131673088, 1.4951669587075345 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.16418928650499517, 0.4556794579512395, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.429775

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

Dbh7aEuSZQinx877JKDqXh7

null

false

null

false

DhJA5kjBter5MGLcYc5NqbR

DfHAZ3niQ78tFxusH9AzF9q

{"qi": 0.14528835998425724, "vacuum_well": -0.015772013785333768, "aspect_ratio": 6.741310130879392, "max_elongation": 5.669124430498109, "average_triangularity": 0.23470306003205388, "axis_magnetic_mirror_ratio": 0.13319732820691108, "edge_magnetic_mirror_ratio": 0.37899824895422535, "aspect_ratio_over_edge_rotational_transform": 9.8939080702666, "flux_compression_in_regions_of_bad_curvature": 2.7502480354166994, "axis_rotational_transform_over_n_field_periods": 0.14363346538618452, "edge_rotational_transform_over_n_field_periods": 0.13627193790365877, "minimum_normalized_magnetic_gradient_scale_length": 2.5584061723849394}

6.74131

9.893908

0.558667

0.133197

0.143633

0.378998

0.136272

2.750248

5.669124

2.558406

0.145288

-0.015772

{"r_cos":[[0.0,0.0,0.0,0.0,0.9911888387117833,0.039126533491490624,-0.024859419989084846,-0.0005833425821069153,0.0017281700235595415],[-0.0028515237123621423,0.002842485624684679,0.03331803365593701,-0.1500927734407954,0.09543718303074274,0.0711177986759242,0.027376287618420203,0.005344990790499923,0.0016139026073141534],[0.0006060613678708019,-0.002599314608893819,0.003819838326220584,-0.02047200683955433,0.04255591953321333,0.01807603033212292,0.0069621426314106505,0.002670944453669822,0.0003391616358454029],[0.00032148215332410596,-0.0004582574530283865,0.00038253934093458513,-0.00027312284046664267,0.005738062885728894,0.0030899518312195676,0.0004757709807071018,0.0007647019296509364,0.0002495319600089103],[-0.00013650711052901846,0.000055074056882941074,0.00019329622374446247,-0.00036808670648192255,0.00017390239760933096,-0.000053615415064091516,-0.0001766619405572989,0.0003106216781007345,0.00013673591966111432]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.5765416300874191,0.027600041927424962,-0.017347712493240283,0.004781248012815695],[-0.0038910856380485813,0.009674181933727063,-0.04843104533050693,0.00599151309886135,-0.11692024099950356,-0.05511753490255093,-0.06317336480756738,-0.016308981500104975,-0.006850427285435395],[0.0010406882411971856,-0.004758456405607744,0.00034915555431526716,0.010325200482154661,-0.020102038345133508,-0.01166934853444099,-0.007762795952599053,-0.001982052351945403,-0.0007938904896142221],[0.0005701624505127641,-0.001154298495520085,0.003726346613957696,0.0035344486355698927,-0.003745168572214179,-0.0014393194932033292,0.0000137348238094504,-0.00012863407890335702,0.0006632378983104276],[-0.0002471075141579882,0.00004050036799061683,0.00030560755189692514,0.00017918158812497232,-0.0012081004221448958,-0.00034193222553759915,-0.00037135353863362343,0.00003866181803508286,0.000051397577098875966]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9911888387117833, 0.039126533491490624, -0.024859419989084846, -0.0005833425821069153, 0.0017281700235595415 ], [ -0.0028515237123621423, 0.002842485624684679, 0.03331803365593701, -0.1500927734407954, 0.09543718303074274, 0.0711177986759242, 0.027376287618420203, 0.005344990790499923, 0.0016139026073141534 ], [ 0.0006060613678708019, -0.002599314608893819, 0.003819838326220584, -0.02047200683955433, 0.04255591953321333, 0.01807603033212292, 0.0069621426314106505, 0.002670944453669822, 0.0003391616358454029 ], [ 0.00032148215332410596, -0.0004582574530283865, 0.00038253934093458513, -0.00027312284046664267, 0.005738062885728894, 0.0030899518312195676, 0.0004757709807071018, 0.0007647019296509364, 0.0002495319600089103 ], [ -0.00013650711052901846, 0.000055074056882941074, 0.00019329622374446247, -0.00036808670648192255, 0.00017390239760933096, -0.000053615415064091516, -0.0001766619405572989, 0.0003106216781007345, 0.00013673591966111432 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.5765416300874191, 0.027600041927424962, -0.017347712493240283, 0.004781248012815695 ], [ -0.0038910856380485813, 0.009674181933727063, -0.04843104533050693, 0.00599151309886135, -0.11692024099950356, -0.05511753490255093, -0.06317336480756738, -0.016308981500104975, -0.006850427285435395 ], [ 0.0010406882411971856, -0.004758456405607744, 0.00034915555431526716, 0.010325200482154661, -0.020102038345133508, -0.01166934853444099, -0.007762795952599053, -0.001982052351945403, -0.0007938904896142221 ], [ 0.0005701624505127641, -0.001154298495520085, 0.003726346613957696, 0.0035344486355698927, -0.003745168572214179, -0.0014393194932033292, 0.0000137348238094504, -0.00012863407890335702, 0.0006632378983104276 ], [ -0.0002471075141579882, 0.00004050036799061683, 0.00030560755189692514, 0.00017918158812497232, -0.0012081004221448958, -0.00034193222553759915, -0.00037135353863362343, 0.00003866181803508286, 0.000051397577098875966 ] ]

D8fvvjrpi5WnXnq3KJAtgq5

{"aspect_ratio": 6.962845733163092, "major_radius": 1.0, "max_elongation": 4.315879652566664, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.00850356369766774, 0.2003807807811822, 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": [[0.8760462474049814, 0.8760502277399277, 0.8760892853239501, 0.8762170932704434, 0.8764960833436055, 0.876991826069715, 0.8777696507257078, 0.8788923011338924, 0.8804182133468587, 0.8824002181834055, 0.884884558251084, 0.88791015089896, 0.8915080512971143, 0.8957010833285564, 0.9005036145079505, 0.9059214568123103, 0.911951879234998, 0.9185837206844893, 0.9257975939171018, 0.9335661727502046, 0.9418545559986717, 0.9506207025116707, 0.9598159324269155, 0.9693854903524364, 0.9792691666652658, 0.9894019735064404, 0.9997148723700551, 1.0101355504437879, 1.0205892430688457, 1.0309995998555492, 1.041289592121461, 1.0513824594150405, 1.0612026929504377, 1.0706770538077819, 1.0797356237457678, 1.088312886424714, 1.0963488367406549, 1.103790115812004, 1.110591168920778, 1.1167154233607794, 1.1221364826390066, 1.126839332738832, 1.1308215550584693, 1.1340945389658854, 1.1366846842548135, 1.1386345793403185, 1.1400041330565385, 1.140871622197215, 1.1413345814649603, 1.1415103632893953, 1.1415357582702488], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7602119657138664}

6.962846

1

4.31588

[ [ 0.8760462474049814, 0.8760502277399277, 0.8760892853239501, 0.8762170932704434, 0.8764960833436055, 0.876991826069715, 0.8777696507257078, 0.8788923011338924, 0.8804182133468587, 0.8824002181834055, 0.884884558251084, 0.88791015089896, 0.8915080512971143, 0.8957010833285564, 0.9005036145079505, 0.9059214568123103, 0.911951879234998, 0.9185837206844893, 0.9257975939171018, 0.9335661727502046, 0.9418545559986717, 0.9506207025116707, 0.9598159324269155, 0.9693854903524364, 0.9792691666652658, 0.9894019735064404, 0.9997148723700551, 1.0101355504437879, 1.0205892430688457, 1.0309995998555492, 1.041289592121461, 1.0513824594150405, 1.0612026929504377, 1.0706770538077819, 1.0797356237457678, 1.088312886424714, 1.0963488367406549, 1.103790115812004, 1.110591168920778, 1.1167154233607794, 1.1221364826390066, 1.126839332738832, 1.1308215550584693, 1.1340945389658854, 1.1366846842548135, 1.1386345793403185, 1.1400041330565385, 1.140871622197215, 1.1413345814649603, 1.1415103632893953, 1.1415357582702488 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.00850356369766774, 0.2003807807811822, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.760212

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

DZADueJ546wGu8VYZVWo5Z7

null

false

null

false

DDv2Bd6i3z6uqvvYfCuyStb

DG2muKwiLDrQeGbwDXnif29

{"qi": 0.022317492816765268, "vacuum_well": -0.08905207785274621, "aspect_ratio": 6.0349977151157566, "max_elongation": 4.161001743475818, "average_triangularity": -0.007891512326604455, "axis_magnetic_mirror_ratio": 0.6685825106138665, "edge_magnetic_mirror_ratio": 0.9042040291480457, "aspect_ratio_over_edge_rotational_transform": 13.702268525270512, "flux_compression_in_regions_of_bad_curvature": 1.1837382762446411, "axis_rotational_transform_over_n_field_periods": 0.16772270275836312, "edge_rotational_transform_over_n_field_periods": 0.11010946296931903, "minimum_normalized_magnetic_gradient_scale_length": 2.621583513566146}

6.034998

13.702269

-0.100939

0.668583

0.167723

0.904204

0.110109

1.183738

4.161002

2.621584

0.022317

-0.089052

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.24403437754840346,-0.03315322146831678,-0.023711602618792387,-0.0002889640156083038],[0.0012544775249858163,0.011327012217665059,0.06768459350848183,-0.055826639750087725,0.1524834684800973,-0.0007247722464530579,-0.019544844484330477,0.008536916008682715,0.0012680414538385522],[0.00038925289163604037,-0.003405109494841383,-0.01090063585731504,0.003299140242774201,0.005791047539104538,0.0003932381589217956,-0.003497535005007246,0.0004671866871781593,-0.00035285159152967686],[-0.0006472588294241272,0.00002225819229602271,0.00020630043890602608,-0.0001540899729109077,0.00252557066109212,-0.0021434281101326558,0.0013678755334665996,-0.0003265275792053427,-7.050662569924092e-6],[0.00023576229314855712,-0.000034029141719163296,0.00006701289847132632,0.000377305424752194,0.00001064818541980303,-0.00036716334862170897,0.00009413722695318431,-0.00011104286444021071,0.000015187177999821319]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.1378674601681698,0.02781863395783776,0.016469696849116762,0.0042104098751684395],[0.00562169742197976,0.022260549436549714,0.01656812680771229,0.04853205988207297,-0.13336994847351497,-0.012352355294321115,-0.00426170529210399,0.0003873871325578912,-0.00032012775434753834],[-0.00030798735085369843,-0.005971177360672595,0.004258149344285839,-0.009082319437043759,0.003311972280483869,-0.009454012679598328,0.004616810433117133,0.001346571474545052,0.0000643410862189278],[-0.0013691431696627892,0.001183064650506624,-0.0016919048435703784,0.0008129781423542968,-0.0025848528824716547,0.0028908344300253973,-0.0014957085928719693,-0.00036653772183765974,-0.0001065869994320395],[0.00026169336127590233,-0.000057444291379383594,-0.00014289853106809328,-0.00023053527441419853,-0.00010688110075112238,0.0002419164239571488,-0.00006464803367101924,-0.0003575802685957167,0.00021230052437608586]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.24403437754840346, -0.03315322146831678, -0.023711602618792387, -0.0002889640156083038 ], [ 0.0012544775249858163, 0.011327012217665059, 0.06768459350848183, -0.055826639750087725, 0.1524834684800973, -0.0007247722464530579, -0.019544844484330477, 0.008536916008682715, 0.0012680414538385522 ], [ 0.00038925289163604037, -0.003405109494841383, -0.01090063585731504, 0.003299140242774201, 0.005791047539104538, 0.0003932381589217956, -0.003497535005007246, 0.0004671866871781593, -0.00035285159152967686 ], [ -0.0006472588294241272, 0.00002225819229602271, 0.00020630043890602608, -0.0001540899729109077, 0.00252557066109212, -0.0021434281101326558, 0.0013678755334665996, -0.0003265275792053427, -0.000007050662569924092 ], [ 0.00023576229314855712, -0.000034029141719163296, 0.00006701289847132632, 0.000377305424752194, 0.00001064818541980303, -0.00036716334862170897, 0.00009413722695318431, -0.00011104286444021071, 0.000015187177999821319 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.1378674601681698, 0.02781863395783776, 0.016469696849116762, 0.0042104098751684395 ], [ 0.00562169742197976, 0.022260549436549714, 0.01656812680771229, 0.04853205988207297, -0.13336994847351497, -0.012352355294321115, -0.00426170529210399, 0.0003873871325578912, -0.00032012775434753834 ], [ -0.00030798735085369843, -0.005971177360672595, 0.004258149344285839, -0.009082319437043759, 0.003311972280483869, -0.009454012679598328, 0.004616810433117133, 0.001346571474545052, 0.0000643410862189278 ], [ -0.0013691431696627892, 0.001183064650506624, -0.0016919048435703784, 0.0008129781423542968, -0.0025848528824716547, 0.0028908344300253973, -0.0014957085928719693, -0.00036653772183765974, -0.0001065869994320395 ], [ 0.00026169336127590233, -0.000057444291379383594, -0.00014289853106809328, -0.00023053527441419853, -0.00010688110075112238, 0.0002419164239571488, -0.00006464803367101924, -0.0003575802685957167, 0.00021230052437608586 ] ]

D7AQyN627jMtzqUctNT3HjW

{"aspect_ratio": 5.049265890875939, "major_radius": 1.0, "max_elongation": 6.3180700448336236, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0003354209844211719, -0.1911614751984245, 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": [[0.6338132838249391, 0.634164438195032, 0.6357605192172788, 0.6390337714873959, 0.6442042305479839, 0.6513773771174869, 0.6605816925203771, 0.6717895881667933, 0.6849310651004381, 0.6999034913045838, 0.7165790362316053, 0.7348105670291982, 0.7544364695393688, 0.7752846803899694, 0.7971761172571061, 0.8199276350183488, 0.8433545981567252, 0.8672731352498628, 0.8915021246959249, 0.9158649491280026, 0.9401910475406144, 0.96431728793417, 0.9880891785950934, 1.011361932521901, 1.0340013966770496, 1.0558848554800453, 1.0769017161096266, 1.09695408164304, 1.1159572167473928, 1.1338399094894145, 1.1505447317958248, 1.1660282001350657, 1.1802608370651513, 1.1932271333660005, 1.2049254095105408, 1.2153675741850152, 1.2245787763940381, 1.2325969463137307, 1.2394722183963855, 1.2452662281537905, 1.2500512713628642, 1.2539093108525932, 1.2569308110736774, 1.2592133735291973, 1.2608601354524152, 1.2619778772058228, 1.2626747553195958, 1.2630575255583067, 1.263228011474693, 1.263278301880074, 1.2632831780584524], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7070123674983061}

5.049266

1

6.31807

[ [ 0.6338132838249391, 0.634164438195032, 0.6357605192172788, 0.6390337714873959, 0.6442042305479839, 0.6513773771174869, 0.6605816925203771, 0.6717895881667933, 0.6849310651004381, 0.6999034913045838, 0.7165790362316053, 0.7348105670291982, 0.7544364695393688, 0.7752846803899694, 0.7971761172571061, 0.8199276350183488, 0.8433545981567252, 0.8672731352498628, 0.8915021246959249, 0.9158649491280026, 0.9401910475406144, 0.96431728793417, 0.9880891785950934, 1.011361932521901, 1.0340013966770496, 1.0558848554800453, 1.0769017161096266, 1.09695408164304, 1.1159572167473928, 1.1338399094894145, 1.1505447317958248, 1.1660282001350657, 1.1802608370651513, 1.1932271333660005, 1.2049254095105408, 1.2153675741850152, 1.2245787763940381, 1.2325969463137307, 1.2394722183963855, 1.2452662281537905, 1.2500512713628642, 1.2539093108525932, 1.2569308110736774, 1.2592133735291973, 1.2608601354524152, 1.2619778772058228, 1.2626747553195958, 1.2630575255583067, 1.263228011474693, 1.263278301880074, 1.2632831780584524 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0003354209844211719, -0.1911614751984245, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.707012

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

DWUekjyxXbBtMWWmz9xULvH

null

false

null

false

DRmMjbkeyqzMnM9eU64EfgP

DaEUJzjfoYdeoiWoCosHWdc

{"qi": 0.019500895234157233, "vacuum_well": -0.06800375008860465, "aspect_ratio": 6.27261395504679, "max_elongation": 6.460853929183239, "average_triangularity": -0.45626257860476316, "axis_magnetic_mirror_ratio": 0.7186442784951914, "edge_magnetic_mirror_ratio": 0.9365421285024457, "aspect_ratio_over_edge_rotational_transform": 7.271289826579983, "flux_compression_in_regions_of_bad_curvature": 1.6165603373077408, "axis_rotational_transform_over_n_field_periods": 0.22919403958205634, "edge_rotational_transform_over_n_field_periods": 0.2156637303920082, "minimum_normalized_magnetic_gradient_scale_length": 1.7427789247951575}

6.272614

7.27129

-0.501401

0.718644

0.229194

0.936542

0.215664

1.61656

6.460854

1.742779

0.019501

-0.068004

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.23606157293955152,-0.038256609714578345,-0.020750107395728946,0.0022772881835607713],[-0.002520060417999286,0.017892310766361278,0.04282833277632142,0.004932678587893861,0.11578022658963422,-0.04802228088342926,0.0043348966842142005,0.003331716626176876,-0.0011333274112029505],[0.0021082085425845965,-0.006444350882531537,-0.018809494539921437,0.011859610870573672,-0.0032533373929237133,-0.009682275119425248,0.0024128898040265117,-0.0008639406825251676,-0.0003412946949833606],[-0.00009773207651767282,0.0001169138032269665,0.001814289570432028,0.0019116828933155485,0.0006880237020672129,-0.002216161926725701,0.0015592865265893665,-0.0003728029647559325,-0.000031514766219698384],[-0.00026528395211992354,0.0004338187595049213,-0.0010632707381010302,0.0009038258892482573,-0.0008211200373545256,0.00015926488701957487,-0.00002198600934607989,-0.00013271693751824585,0.000014132987744242334]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.061207353865161726,0.033851401390248295,0.009410671165843446,0.000688961769724026],[0.002025396477066369,0.0286497626922034,0.05183834262156824,0.0068595856915449165,-0.1910422374336363,0.040919111380940745,-0.00842918708502403,0.001387057248430152,-0.0018851106021052458],[-0.0016872437793431366,-0.01857922656936959,-0.0049477331078359825,0.005029682752124852,-0.012271283014648998,0.0015155003637490002,0.00727316049062641,-0.002993762090101112,0.0015206656812989435],[-0.00024050727663400335,0.001736635164671256,-0.005893506805891737,0.0010035332578337227,-0.006966646229931121,0.005546322472185148,-0.004051292184064597,0.0015605431843569288,-0.0004737834488267692],[0.0005372379342658392,-0.00025685479139474834,0.00122484075102932,-0.001175651134936656,0.001800287827650289,-0.0011791040376253187,0.0007891682908968968,-0.00026830216139579424,0.0002237951942789412]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.23606157293955152, -0.038256609714578345, -0.020750107395728946, 0.0022772881835607713 ], [ -0.002520060417999286, 0.017892310766361278, 0.04282833277632142, 0.004932678587893861, 0.11578022658963422, -0.04802228088342926, 0.0043348966842142005, 0.003331716626176876, -0.0011333274112029505 ], [ 0.0021082085425845965, -0.006444350882531537, -0.018809494539921437, 0.011859610870573672, -0.0032533373929237133, -0.009682275119425248, 0.0024128898040265117, -0.0008639406825251676, -0.0003412946949833606 ], [ -0.00009773207651767282, 0.0001169138032269665, 0.001814289570432028, 0.0019116828933155485, 0.0006880237020672129, -0.002216161926725701, 0.0015592865265893665, -0.0003728029647559325, -0.000031514766219698384 ], [ -0.00026528395211992354, 0.0004338187595049213, -0.0010632707381010302, 0.0009038258892482573, -0.0008211200373545256, 0.00015926488701957487, -0.00002198600934607989, -0.00013271693751824585, 0.000014132987744242334 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.061207353865161726, 0.033851401390248295, 0.009410671165843446, 0.000688961769724026 ], [ 0.002025396477066369, 0.0286497626922034, 0.05183834262156824, 0.0068595856915449165, -0.1910422374336363, 0.040919111380940745, -0.00842918708502403, 0.001387057248430152, -0.0018851106021052458 ], [ -0.0016872437793431366, -0.01857922656936959, -0.0049477331078359825, 0.005029682752124852, -0.012271283014648998, 0.0015155003637490002, 0.00727316049062641, -0.002993762090101112, 0.0015206656812989435 ], [ -0.00024050727663400335, 0.001736635164671256, -0.005893506805891737, 0.0010035332578337227, -0.006966646229931121, 0.005546322472185148, -0.004051292184064597, 0.0015605431843569288, -0.0004737834488267692 ], [ 0.0005372379342658392, -0.00025685479139474834, 0.00122484075102932, -0.001175651134936656, 0.001800287827650289, -0.0011791040376253187, 0.0007891682908968968, -0.00026830216139579424, 0.0002237951942789412 ] ]

D6R4rt8isZrFpCmuAtmkzT4

{"aspect_ratio": 5.533319298459326, "major_radius": 1.0, "max_elongation": 6.958830779856552, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.16432041749653095, 0.0029464349000963915, 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": [[0.5566666330408289, 0.5569531246871078, 0.5585217173665665, 0.5620827461717601, 0.5680749510780739, 0.5767546574822943, 0.5882404713239956, 0.6025430497844088, 0.6195873792096466, 0.6392305198926795, 0.6612762728044115, 0.6854875844380038, 0.7115971919237891, 0.7393168395841011, 0.7683452975653098, 0.7983753504350379, 0.8290998825416875, 0.860217158947244, 0.8914353810508715, 0.9224765817779694, 0.9530799146681115, 0.9830043832408112, 1.0120310509180017, 1.0399647670426102, 1.0666354408129783, 1.0918988920136574, 1.1156373050931974, 1.1377593112952908, 1.1581997221010243, 1.1769189361214412, 1.1939020407440182, 1.2091576292509658, 1.2227163537702823, 1.2346292342809178, 1.2449657439695394, 1.2538116915361086, 1.2612669215875978, 1.2674428550756902, 1.272459892874537, 1.2764447071319478, 1.2795274470699214, 1.2818388886195091, 1.2835075608960342, 1.2846568874389623, 1.2854023869860276, 1.2858489884082425, 1.286088529298327, 1.2861975315956622, 1.2862353896629601, 1.2862431912397718, 1.2862436141500644], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8647813569534731}

5.533319

1

6.958831

[ [ 0.5566666330408289, 0.5569531246871078, 0.5585217173665665, 0.5620827461717601, 0.5680749510780739, 0.5767546574822943, 0.5882404713239956, 0.6025430497844088, 0.6195873792096466, 0.6392305198926795, 0.6612762728044115, 0.6854875844380038, 0.7115971919237891, 0.7393168395841011, 0.7683452975653098, 0.7983753504350379, 0.8290998825416875, 0.860217158947244, 0.8914353810508715, 0.9224765817779694, 0.9530799146681115, 0.9830043832408112, 1.0120310509180017, 1.0399647670426102, 1.0666354408129783, 1.0918988920136574, 1.1156373050931974, 1.1377593112952908, 1.1581997221010243, 1.1769189361214412, 1.1939020407440182, 1.2091576292509658, 1.2227163537702823, 1.2346292342809178, 1.2449657439695394, 1.2538116915361086, 1.2612669215875978, 1.2674428550756902, 1.272459892874537, 1.2764447071319478, 1.2795274470699214, 1.2818388886195091, 1.2835075608960342, 1.2846568874389623, 1.2854023869860276, 1.2858489884082425, 1.286088529298327, 1.2861975315956622, 1.2862353896629601, 1.2862431912397718, 1.2862436141500644 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.16432041749653095, 0.0029464349000963915, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.864781

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

D76xZTzHfYv7Vei2jSGTuEm

null

false

null

false

DY9JdxpACL6dz6XEQ4RNSqs

DH6C8WZaBQLjrJoj4avQmti

{"qi": 0.0802749566986177, "vacuum_well": -0.15915601548864688, "aspect_ratio": 10.157744930493429, "max_elongation": 4.520509932548615, "average_triangularity": -0.4831808875567199, "axis_magnetic_mirror_ratio": 0.1531375705441927, "edge_magnetic_mirror_ratio": 0.24622698013299274, "aspect_ratio_over_edge_rotational_transform": 34.0817942555108, "flux_compression_in_regions_of_bad_curvature": 0.8202044073780518, "axis_rotational_transform_over_n_field_periods": 0.16653842224680915, "edge_rotational_transform_over_n_field_periods": 0.07451005113126481, "minimum_normalized_magnetic_gradient_scale_length": 5.9777237688016625}

10.157745

34.081794

-0.920068

0.153138

0.166538

0.246227

0.07451

0.820204

4.52051

5.977724

0.080275

-0.159156

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.07077739584880707,-0.01012445941586573,0.00254527637630777,0.0002994564618134595],[-0.000182562101854122,-0.004106817973284016,0.027197301506125003,-0.02131049666642693,0.08753345681466594,0.026023296713972983,-0.0039823936423016865,0.0015416511898532965,-0.00014268762507525163],[0.0005513974099039459,0.003931745537842745,-0.02158262145562647,0.009945709229688349,-0.00044457665627780507,0.007111500562915418,-0.0021795719138882185,0.00009693159504738352,-0.00032250691024738264],[-0.0006878699608442432,-0.0029797169842225493,0.005130172252721594,0.000306942598183024,0.00220062975950442,0.0015268638289689298,-0.000118608085250182,-0.0002259977323809776,-0.00026415859811164275],[0.0001841395272390688,0.0005598714017119645,-0.00020209349432318398,0.0008512017414004535,-0.00021027935680226794,0.00041909432326460883,0.00022864927819432395,-0.0000651613117897128,-0.000010198179088828145]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.056624705292777126,0.007873335940953642,0.0012416328522494757,-0.00001999238251239842],[-0.0006917050976412992,-0.005694465769726395,0.02904484039430883,0.020203666542862927,-0.13656261665997135,0.020139878727935986,0.004651715771305685,-0.0012627604745516171,-0.00013545478245803903],[-0.00023223258937135589,0.008111866374787112,-0.0232250763814613,0.0001922043949052852,-0.008453052947172942,-0.0026322252275610128,0.0015377990652796977,-0.0009687282286478496,0.00015961594449176474],[0.00018764783670005965,-0.0033761391103336886,0.005073516506787128,-0.000019106741772036877,-0.0023953602276308283,-0.002285082592942785,-0.0005761642973387566,-0.00005310103789487523,0.00010500877769698946],[0.000186955170248563,0.0008377194862217103,-0.0003102118320231397,-0.00044443213643491076,-0.00016781924043754622,-0.00031115382155562956,-0.0003486506943377871,-0.00003941932477360624,-0.000026702805597554353]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.07077739584880707, -0.01012445941586573, 0.00254527637630777, 0.0002994564618134595 ], [ -0.000182562101854122, -0.004106817973284016, 0.027197301506125003, -0.02131049666642693, 0.08753345681466594, 0.026023296713972983, -0.0039823936423016865, 0.0015416511898532965, -0.00014268762507525163 ], [ 0.0005513974099039459, 0.003931745537842745, -0.02158262145562647, 0.009945709229688349, -0.00044457665627780507, 0.007111500562915418, -0.0021795719138882185, 0.00009693159504738352, -0.00032250691024738264 ], [ -0.0006878699608442432, -0.0029797169842225493, 0.005130172252721594, 0.000306942598183024, 0.00220062975950442, 0.0015268638289689298, -0.000118608085250182, -0.0002259977323809776, -0.00026415859811164275 ], [ 0.0001841395272390688, 0.0005598714017119645, -0.00020209349432318398, 0.0008512017414004535, -0.00021027935680226794, 0.00041909432326460883, 0.00022864927819432395, -0.0000651613117897128, -0.000010198179088828145 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.056624705292777126, 0.007873335940953642, 0.0012416328522494757, -0.00001999238251239842 ], [ -0.0006917050976412992, -0.005694465769726395, 0.02904484039430883, 0.020203666542862927, -0.13656261665997135, 0.020139878727935986, 0.004651715771305685, -0.0012627604745516171, -0.00013545478245803903 ], [ -0.00023223258937135589, 0.008111866374787112, -0.0232250763814613, 0.0001922043949052852, -0.008453052947172942, -0.0026322252275610128, 0.0015377990652796977, -0.0009687282286478496, 0.00015961594449176474 ], [ 0.00018764783670005965, -0.0033761391103336886, 0.005073516506787128, -0.000019106741772036877, -0.0023953602276308283, -0.002285082592942785, -0.0005761642973387566, -0.00005310103789487523, 0.00010500877769698946 ], [ 0.000186955170248563, 0.0008377194862217103, -0.0003102118320231397, -0.00044443213643491076, -0.00016781924043754622, -0.00031115382155562956, -0.0003486506943377871, -0.00003941932477360624, -0.000026702805597554353 ] ]

DheTNcdQ5x4HMyrPrRwZ37M

{"aspect_ratio": 11.326353384931483, "major_radius": 1.0, "max_elongation": 4.661261985420165, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1558953135600985, 0.288845756787207, 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": [[0.8889187190387553, 0.8889187202304842, 0.8889187778252203, 0.8889192873974368, 0.8889215378767199, 0.8889284144621252, 0.8889451696063949, 0.888980205798751, 0.889045826419538, 0.8891589190847917, 0.8893415419290194, 0.8896213881081182, 0.8900321078952856, 0.890613471345962, 0.8914113577804531, 0.8924775613792185, 0.8938694050796946, 0.8956491577604508, 0.897883252442709, 0.9006413059682277, 0.9039949433599119, 0.9080164328692484, 0.9127771405949482, 0.9183458165538848, 0.9247867272357823, 0.9321576530195135, 0.9405077724209038, 0.9498754590391371, 0.9602860213441171, 0.9717494201913953, 0.9842580042799488, 0.9977843098300101, 1.0122789777484704, 1.0276688497281896, 1.043855314447765, 1.0607129867877867, 1.0780888174467573, 1.0958017485182516, 1.1136430539511002, 1.1313775345952013, 1.1487457792568865, 1.1654677615916031, 1.1812481275266982, 1.1957836567539704, 1.2087735880307853, 1.2199338501022297, 1.2290168927891116, 1.2358401628303204, 1.2403295308946405, 1.2425940802115023, 1.243103458620571], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.508622592806787}

11.326353

1

4.661262

[ [ 0.8889187190387553, 0.8889187202304842, 0.8889187778252203, 0.8889192873974368, 0.8889215378767199, 0.8889284144621252, 0.8889451696063949, 0.888980205798751, 0.889045826419538, 0.8891589190847917, 0.8893415419290194, 0.8896213881081182, 0.8900321078952856, 0.890613471345962, 0.8914113577804531, 0.8924775613792185, 0.8938694050796946, 0.8956491577604508, 0.897883252442709, 0.9006413059682277, 0.9039949433599119, 0.9080164328692484, 0.9127771405949482, 0.9183458165538848, 0.9247867272357823, 0.9321576530195135, 0.9405077724209038, 0.9498754590391371, 0.9602860213441171, 0.9717494201913953, 0.9842580042799488, 0.9977843098300101, 1.0122789777484704, 1.0276688497281896, 1.043855314447765, 1.0607129867877867, 1.0780888174467573, 1.0958017485182516, 1.1136430539511002, 1.1313775345952013, 1.1487457792568865, 1.1654677615916031, 1.1812481275266982, 1.1957836567539704, 1.2087735880307853, 1.2199338501022297, 1.2290168927891116, 1.2358401628303204, 1.2403295308946405, 1.2425940802115023, 1.243103458620571 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1558953135600985, 0.288845756787207, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.508623

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

DBz9fPQLFq39tAqikEeeZx2

null

false

null

false

DBeNKHHr6geAZW4AzgSKXUL

DRoY9Ze4PRGZ2YXMq4F7Xbv

{"qi": 0.0021098231730133864, "vacuum_well": -0.2459014113389839, "aspect_ratio": 9.778423616336676, "max_elongation": 3.811092645239209, "average_triangularity": -0.45672589243511563, "axis_magnetic_mirror_ratio": 0.32332803395466636, "edge_magnetic_mirror_ratio": 0.4100236938829885, "aspect_ratio_over_edge_rotational_transform": 15.950491789554842, "flux_compression_in_regions_of_bad_curvature": 0.5876838636192062, "axis_rotational_transform_over_n_field_periods": 0.18524922855559556, "edge_rotational_transform_over_n_field_periods": 0.12260968182485839, "minimum_normalized_magnetic_gradient_scale_length": 5.39220810091587}

9.778424

15.950492

-0.64462

0.323328

0.185249

0.410024

0.12261

0.587684

3.811093

5.392208

0.00211

-0.245901

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.03449869172178303,-0.002115901764202561,0.0037412301909563253,-0.00025005496167844607],[-0.0020005448756315663,-0.0025919934404152046,0.030496532080838613,0.004672374095061701,0.09246011192232477,-0.019889996005618492,-0.007378949850413629,0.0016487360808899241,-0.0004619835977048665],[0.0017816411889523109,-0.003020679915448617,-0.013621789697804358,0.015414395874243918,0.009144257455505587,-0.0036359618485856116,-0.004658215703148039,0.0006976701458111356,-0.00003223104762575433],[-0.001785397022677951,0.001252922723637396,0.003000063696692646,0.002485172594754973,0.0027076599578408542,-0.003903860890045814,-0.0000509248640310463,0.0003730556378352758,0.00009325115480803806],[0.0005837605997809746,-0.0009051023850938422,-0.0002698613998897847,0.0008376594056116755,0.0001454369070150053,-0.0005671982385450774,0.00006521491672619024,0.00024109371905106593,7.811051582183874e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04454727563191235,0.003750734877480698,-0.002206962709015281,0.0005974892172941788],[-0.0012113555769670686,-0.0022924154706502565,0.030001997799900555,-0.006705078156057413,-0.12204606850027444,0.03809935472204226,-0.003800277950456874,-0.0005814899987176408,0.000251545708459055],[0.002146215256023512,0.00038873347812640126,-0.014800572490762453,0.010417580285953198,-0.02851488011956922,0.012575668723918132,-0.0004407949509177963,-0.0007402967725116308,0.00019039726316919317],[-0.002039938995616588,0.0017861959568553423,0.003238353513360738,0.000027474498748594062,-0.008280775575226959,0.005637535969018217,-0.0012527119951699411,-0.000057282892138794234,0.00001407849161945223],[0.0002343518901996135,-0.0007106889739968867,0.0012890238713486246,-0.0008457079352420878,-0.0005968267744784323,0.0010141178370604144,-0.0004802003722927166,1.6225537326843313e-6,-0.000016418428939190405]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.03449869172178303, -0.002115901764202561, 0.0037412301909563253, -0.00025005496167844607 ], [ -0.0020005448756315663, -0.0025919934404152046, 0.030496532080838613, 0.004672374095061701, 0.09246011192232477, -0.019889996005618492, -0.007378949850413629, 0.0016487360808899241, -0.0004619835977048665 ], [ 0.0017816411889523109, -0.003020679915448617, -0.013621789697804358, 0.015414395874243918, 0.009144257455505587, -0.0036359618485856116, -0.004658215703148039, 0.0006976701458111356, -0.00003223104762575433 ], [ -0.001785397022677951, 0.001252922723637396, 0.003000063696692646, 0.002485172594754973, 0.0027076599578408542, -0.003903860890045814, -0.0000509248640310463, 0.0003730556378352758, 0.00009325115480803806 ], [ 0.0005837605997809746, -0.0009051023850938422, -0.0002698613998897847, 0.0008376594056116755, 0.0001454369070150053, -0.0005671982385450774, 0.00006521491672619024, 0.00024109371905106593, 0.000007811051582183874 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04454727563191235, 0.003750734877480698, -0.002206962709015281, 0.0005974892172941788 ], [ -0.0012113555769670686, -0.0022924154706502565, 0.030001997799900555, -0.006705078156057413, -0.12204606850027444, 0.03809935472204226, -0.003800277950456874, -0.0005814899987176408, 0.000251545708459055 ], [ 0.002146215256023512, 0.00038873347812640126, -0.014800572490762453, 0.010417580285953198, -0.02851488011956922, 0.012575668723918132, -0.0004407949509177963, -0.0007402967725116308, 0.00019039726316919317 ], [ -0.002039938995616588, 0.0017861959568553423, 0.003238353513360738, 0.000027474498748594062, -0.008280775575226959, 0.005637535969018217, -0.0012527119951699411, -0.000057282892138794234, 0.00001407849161945223 ], [ 0.0002343518901996135, -0.0007106889739968867, 0.0012890238713486246, -0.0008457079352420878, -0.0005968267744784323, 0.0010141178370604144, -0.0004802003722927166, 0.0000016225537326843313, -0.000016418428939190405 ] ]

DEPPrdyuRVwRpmVSw4STV7n

{"aspect_ratio": 10.588407427239357, "major_radius": 1.0, "max_elongation": 6.660109696034895, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1722027385806525, 0.3835808145519782, 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": [[0.6901600295711547, 0.690160055248536, 0.6901609973308573, 0.6901679772049397, 0.6901949911658162, 0.6902692338500218, 0.6904346308534393, 0.690754399485418, 0.6913125634478281, 0.6922144078582589, 0.6935859007551066, 0.6955721353639215, 0.6983348683134967, 0.702049244983352, 0.7068998155957706, 0.7130759553812073, 0.7207668097001487, 0.7301558907737878, 0.7414154569216496, 0.7547008081102402, 0.7701446333113038, 0.7878515457387459, 0.8078929415350176, 0.8303023159395497, 0.8550711683992066, 0.882145624457479, 0.9114238975472477, 0.9427547079503931, 0.9759367690893819, 1.0107194428641253, 1.0468046557879505, 1.083850156009536, 1.1214741776739374, 1.1592615631382441, 1.1967713748740783, 1.2335460068740778, 1.2691217792448009, 1.3030409683356976, 1.3348651867169652, 1.3641899804243787, 1.3906604519705357, 1.4139876418740316, 1.4339653013087363, 1.450486551450683, 1.4635597295224816, 1.4733224271763254, 1.4800522526105975, 1.4841720113728087, 1.4862453254374917, 1.4869546220989696, 1.4870386173502714], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8341547552666484}

10.588407

1

6.66011

[ [ 0.6901600295711547, 0.690160055248536, 0.6901609973308573, 0.6901679772049397, 0.6901949911658162, 0.6902692338500218, 0.6904346308534393, 0.690754399485418, 0.6913125634478281, 0.6922144078582589, 0.6935859007551066, 0.6955721353639215, 0.6983348683134967, 0.702049244983352, 0.7068998155957706, 0.7130759553812073, 0.7207668097001487, 0.7301558907737878, 0.7414154569216496, 0.7547008081102402, 0.7701446333113038, 0.7878515457387459, 0.8078929415350176, 0.8303023159395497, 0.8550711683992066, 0.882145624457479, 0.9114238975472477, 0.9427547079503931, 0.9759367690893819, 1.0107194428641253, 1.0468046557879505, 1.083850156009536, 1.1214741776739374, 1.1592615631382441, 1.1967713748740783, 1.2335460068740778, 1.2691217792448009, 1.3030409683356976, 1.3348651867169652, 1.3641899804243787, 1.3906604519705357, 1.4139876418740316, 1.4339653013087363, 1.450486551450683, 1.4635597295224816, 1.4733224271763254, 1.4800522526105975, 1.4841720113728087, 1.4862453254374917, 1.4869546220989696, 1.4870386173502714 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1722027385806525, 0.3835808145519782, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.834155

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

DhHHWyNRju68XbSZHA2kdpj

null

false

null

false

DRSzC99ESJFzzXfqhjD9Pcu

DQ6ZRtMSJhubmYVa6vi9ieX

{"qi": 0.06944213575043798, "vacuum_well": -0.13600035596386925, "aspect_ratio": 6.877023131763309, "max_elongation": 2.2902347582019735, "average_triangularity": -0.1418678272449415, "axis_magnetic_mirror_ratio": 0.6427830534861165, "edge_magnetic_mirror_ratio": 0.95460014177058, "aspect_ratio_over_edge_rotational_transform": 8.213715555053446, "flux_compression_in_regions_of_bad_curvature": 0.7266061589016121, "axis_rotational_transform_over_n_field_periods": 0.19706442362628276, "edge_rotational_transform_over_n_field_periods": 0.16745218617979182, "minimum_normalized_magnetic_gradient_scale_length": 2.678028800853161}

6.877023

8.213716

-0.266449

0.642783

0.197064

0.9546

0.167452

0.726606

2.290235

2.678029

0.069442

-0.136

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.19833784678648556,-0.01779428302721694,-0.015226261467978855,0.00017908301608296568],[-0.0007493458849471624,0.0035361489078785955,0.06362540645447028,-0.09746184599273107,0.12844717963746885,0.02661978697355155,-0.009383072018591346,-0.0012232121278121842,-0.00044019256413157555],[0.0010102868393317556,-0.002502494184745782,-0.014170656508846736,0.00909526739554611,0.0033028880111080345,0.0031846588232098765,0.0005300400030307162,0.0007994388256538158,7.519433770532941e-6],[-0.0014249707314306645,0.0015390388265975356,0.003336325743975062,-0.00002654892223550036,0.0013317933057225577,0.0005238999146162484,0.0009736042663617442,-0.0002389141962902435,-0.00009771888728682572],[0.0003398076635790951,-0.00013722793432607838,-0.0005676384079233714,0.00025235717279420764,-0.00013220510088236974,0.00028979163203081236,0.00004823485418675158,-0.0001108940072803514,9.761506170778174e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.01791954014314699,0.014634164068192486,0.006417425529697618,0.0018383804839142753],[-0.0001580563845023468,0.013177203524104012,0.002436293956927637,0.04635329878731386,-0.10303455626312333,-0.030115279443572195,-0.005083499620817314,0.001138413514208592,-0.0000641569369389415],[0.00042199621710558357,-0.004819674942538271,-0.0076730615849558296,-0.0003977003347847537,0.0027665681670495106,-0.01089471912687737,-0.0008929126393755196,-0.000194508144360654,-0.00004905408206948368],[-0.0013383829587800711,0.0018355257057460599,-0.00042118707403080325,0.000375949640384628,-0.0032750348313123805,-0.0007159202485467307,-0.0007839672954250257,0.00011958182104954303,0.00002177191612324613],[0.0005571408326229157,-0.0005837464915725417,0.0009630961112975938,-0.0005368040470921479,-0.000722359874878945,0.00009336083154599776,9.276849441539308e-6,0.000024451017777201464,0.000047276584755024146]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.19833784678648556, -0.01779428302721694, -0.015226261467978855, 0.00017908301608296568 ], [ -0.0007493458849471624, 0.0035361489078785955, 0.06362540645447028, -0.09746184599273107, 0.12844717963746885, 0.02661978697355155, -0.009383072018591346, -0.0012232121278121842, -0.00044019256413157555 ], [ 0.0010102868393317556, -0.002502494184745782, -0.014170656508846736, 0.00909526739554611, 0.0033028880111080345, 0.0031846588232098765, 0.0005300400030307162, 0.0007994388256538158, 0.000007519433770532941 ], [ -0.0014249707314306645, 0.0015390388265975356, 0.003336325743975062, -0.00002654892223550036, 0.0013317933057225577, 0.0005238999146162484, 0.0009736042663617442, -0.0002389141962902435, -0.00009771888728682572 ], [ 0.0003398076635790951, -0.00013722793432607838, -0.0005676384079233714, 0.00025235717279420764, -0.00013220510088236974, 0.00028979163203081236, 0.00004823485418675158, -0.0001108940072803514, 0.000009761506170778174 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.01791954014314699, 0.014634164068192486, 0.006417425529697618, 0.0018383804839142753 ], [ -0.0001580563845023468, 0.013177203524104012, 0.002436293956927637, 0.04635329878731386, -0.10303455626312333, -0.030115279443572195, -0.005083499620817314, 0.001138413514208592, -0.0000641569369389415 ], [ 0.00042199621710558357, -0.004819674942538271, -0.0076730615849558296, -0.0003977003347847537, 0.0027665681670495106, -0.01089471912687737, -0.0008929126393755196, -0.000194508144360654, -0.00004905408206948368 ], [ -0.0013383829587800711, 0.0018355257057460599, -0.00042118707403080325, 0.000375949640384628, -0.0032750348313123805, -0.0007159202485467307, -0.0007839672954250257, 0.00011958182104954303, 0.00002177191612324613 ], [ 0.0005571408326229157, -0.0005837464915725417, 0.0009630961112975938, -0.0005368040470921479, -0.000722359874878945, 0.00009336083154599776, 0.000009276849441539308, 0.000024451017777201464, 0.000047276584755024146 ] ]

DoYhttafTyQ8uY8oVabqBxF

{"aspect_ratio": 4.697101296194003, "major_radius": 1.0, "max_elongation": 4.83687333355054, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1487451511768493, -0.13479016640418964, 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": [[0.7813247316439026, 0.7817510289644581, 0.7834078076150951, 0.7865015750991159, 0.7910764295413315, 0.797102858133621, 0.8045081774243853, 0.8131923121417864, 0.8230374765994178, 0.8339147170061132, 0.8456886140821775, 0.8582208070690448, 0.871372711421746, 0.88500765619974, 0.8989925865834132, 0.9131994295374251, 0.927506191246742, 0.9417978359154671, 0.9559669827340065, 0.969914448962746, 0.9835496607766262, 0.9967909489217096, 1.009565742817356, 1.0218106741469914, 1.0334715989830565, 1.0445035459274719, 1.054870596506002, 1.0645457030533856, 1.0735104485081615, 1.0817547518589545, 1.0892765224154433, 1.0960812655926007, 1.1021816424767816, 1.107596985071161, 1.1123527687828656, 1.116480043403342, 1.1200148235363008, 1.1229974391329396, 1.1254718464899134, 1.1274848997369138, 1.1290855824682413, 1.1303241987289905, 1.1312515220100394, 1.1319179001711344, 1.1323723131865986, 1.1326613790926827, 1.1328283011173672, 1.1329117448484374, 1.1329446263624015, 1.1329527741966818, 1.1329533717577163], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.9757717591312951}

4.697101

1

4.836873

[ [ 0.7813247316439026, 0.7817510289644581, 0.7834078076150951, 0.7865015750991159, 0.7910764295413315, 0.797102858133621, 0.8045081774243853, 0.8131923121417864, 0.8230374765994178, 0.8339147170061132, 0.8456886140821775, 0.8582208070690448, 0.871372711421746, 0.88500765619974, 0.8989925865834132, 0.9131994295374251, 0.927506191246742, 0.9417978359154671, 0.9559669827340065, 0.969914448962746, 0.9835496607766262, 0.9967909489217096, 1.009565742817356, 1.0218106741469914, 1.0334715989830565, 1.0445035459274719, 1.054870596506002, 1.0645457030533856, 1.0735104485081615, 1.0817547518589545, 1.0892765224154433, 1.0960812655926007, 1.1021816424767816, 1.107596985071161, 1.1123527687828656, 1.116480043403342, 1.1200148235363008, 1.1229974391329396, 1.1254718464899134, 1.1274848997369138, 1.1290855824682413, 1.1303241987289905, 1.1312515220100394, 1.1319179001711344, 1.1323723131865986, 1.1326613790926827, 1.1328283011173672, 1.1329117448484374, 1.1329446263624015, 1.1329527741966818, 1.1329533717577163 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1487451511768493, -0.13479016640418964, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.975772

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

DfewPCxPAutPNi9QCMGFu8Z

null

false

null

false

DdtatWJU6S9VaK2uTbE52QN

DQPoojri8ZyFCjdmovctYGm

{"qi": 0.027795494829960972, "vacuum_well": -0.12307965954621819, "aspect_ratio": 10.099092038358243, "max_elongation": 4.647762662770388, "average_triangularity": -0.07416158784802224, "axis_magnetic_mirror_ratio": 0.1570395784087614, "edge_magnetic_mirror_ratio": 0.20570532762374216, "aspect_ratio_over_edge_rotational_transform": 11.020667062220584, "flux_compression_in_regions_of_bad_curvature": 1.3060183876317017, "axis_rotational_transform_over_n_field_periods": 0.20679650214018488, "edge_rotational_transform_over_n_field_periods": 0.18327551284038793, "minimum_normalized_magnetic_gradient_scale_length": 12.083766293616296}

10.099092

11.020667

-0.140897

0.15704

0.206797

0.205705

0.183276

1.306018

4.647763

12.083766

0.027795

-0.12308

{"r_cos":[[0.0,0.0,0.0,0.0,0.9990482160120425,0.01955090286318593,-0.007729564657549563,0.0002752080011481292,-0.00009143694629031333],[-0.00015519793178413687,-0.0029043965867006616,-0.01389060455630231,-0.04733803694440761,0.11605326816989575,-0.005566283319672894,-0.0015690762798283237,0.00034337161245311153,0.00012668516060925373],[0.00017257104990212534,0.002132544079011182,0.010025447377477646,0.011158310147177056,-0.014475986271275106,0.014265566668380882,-0.005249988117507395,0.0010675032050767351,-0.00003258887142650365],[0.00030378397972440443,0.0005708241885743499,-0.0007656567963490341,-0.0006489502211462687,0.0066879938525217205,-0.0030692606328588676,0.0008959720670887115,-0.00007928281274592966,0.0000271304117661261],[-0.00008858578807801208,-0.0003154520360533005,0.00009295302007616916,0.00024253486977495733,-0.0005585874031963071,0.00036851885064535317,-0.00020845312799091248,0.0000970117617183026,-0.00001904835215112489]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04660339651146182,0.005912958696390875,-0.0009067140416725689,0.00007966950412485566],[-0.00014485910977184396,-0.0020399305553010375,-0.010561145857657484,-0.07700867659839696,-0.1276301079981494,0.03121753357986544,-0.0037445893374022303,0.0002947631401169951,-0.000045175178167310305],[-0.00006873525789283519,-0.00007688419159970544,0.0035044480987091757,0.015023628937256424,-0.026065874848664176,0.006069134778899745,0.0003631202509416906,-0.000782086065880711,0.0001493493453923484],[0.0001985233353438349,0.0010276494348828353,-0.00026071267983862015,0.0006265034960219156,-0.004850918807862832,0.002264778640714389,-0.00016689968489771447,-0.00030828892273073637,0.00007877170344876129],[-0.00007627862018860738,-0.00019601397651493584,-0.0004979375571338888,0.00025731223869428335,0.00027599921415647524,-0.00030381727243065985,0.00030101784553120554,-0.00017286855129482897,0.00005205256388679259]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9990482160120425, 0.01955090286318593, -0.007729564657549563, 0.0002752080011481292, -0.00009143694629031333 ], [ -0.00015519793178413687, -0.0029043965867006616, -0.01389060455630231, -0.04733803694440761, 0.11605326816989575, -0.005566283319672894, -0.0015690762798283237, 0.00034337161245311153, 0.00012668516060925373 ], [ 0.00017257104990212534, 0.002132544079011182, 0.010025447377477646, 0.011158310147177056, -0.014475986271275106, 0.014265566668380882, -0.005249988117507395, 0.0010675032050767351, -0.00003258887142650365 ], [ 0.00030378397972440443, 0.0005708241885743499, -0.0007656567963490341, -0.0006489502211462687, 0.0066879938525217205, -0.0030692606328588676, 0.0008959720670887115, -0.00007928281274592966, 0.0000271304117661261 ], [ -0.00008858578807801208, -0.0003154520360533005, 0.00009295302007616916, 0.00024253486977495733, -0.0005585874031963071, 0.00036851885064535317, -0.00020845312799091248, 0.0000970117617183026, -0.00001904835215112489 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04660339651146182, 0.005912958696390875, -0.0009067140416725689, 0.00007966950412485566 ], [ -0.00014485910977184396, -0.0020399305553010375, -0.010561145857657484, -0.07700867659839696, -0.1276301079981494, 0.03121753357986544, -0.0037445893374022303, 0.0002947631401169951, -0.000045175178167310305 ], [ -0.00006873525789283519, -0.00007688419159970544, 0.0035044480987091757, 0.015023628937256424, -0.026065874848664176, 0.006069134778899745, 0.0003631202509416906, -0.000782086065880711, 0.0001493493453923484 ], [ 0.0001985233353438349, 0.0010276494348828353, -0.00026071267983862015, 0.0006265034960219156, -0.004850918807862832, 0.002264778640714389, -0.00016689968489771447, -0.00030828892273073637, 0.00007877170344876129 ], [ -0.00007627862018860738, -0.00019601397651493584, -0.0004979375571338888, 0.00025731223869428335, 0.00027599921415647524, -0.00030381727243065985, 0.00030101784553120554, -0.00017286855129482897, 0.00005205256388679259 ] ]

DWnNnRNFmDyx6cYg5E2Qkxk

{"aspect_ratio": 9.629763991423271, "major_radius": 1.0, "max_elongation": 4.322569212174575, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0767845471112537, -0.13335808596265694, 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": [[0.8792273578258059, 0.8792274399160156, 0.8792295562520259, 0.8792420815824931, 0.8792832399717561, 0.8793826690226956, 0.8795816728266588, 0.8799324991616555, 0.8804968835214977, 0.8813440534049657, 0.8825483542681796, 0.8841866350524419, 0.8863355125923402, 0.889068618666983, 0.8924539199732486, 0.8965511892692904, 0.9014096949736201, 0.9070661663514734, 0.9135430818954173, 0.9208473194808924, 0.9289691982524276, 0.9378819338981846, 0.947541520940815, 0.9578870478642951, 0.9688414432706066, 0.9803126437840565, 0.992195167066197, 1.004372066045315, 1.0167172332779049, 1.0290980172232245, 1.0413781051040292, 1.0534206199245246, 1.0650913720967614, 1.0762621989629466, 1.0868143182636976, 1.096641614255896, 1.105653767685529, 1.1137791331166964, 1.1209672591376008, 1.1271909386139363, 1.132447667310011, 1.13676037966301, 1.1401773200016736, 1.1427708956230653, 1.1446353441908546, 1.145883030707063, 1.1466391666280673, 1.1470347110247037, 1.1471971604583853, 1.147238830266868, 1.1472419493321977], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.9833990278879345}

9.629764

1

4.322569

[ [ 0.8792273578258059, 0.8792274399160156, 0.8792295562520259, 0.8792420815824931, 0.8792832399717561, 0.8793826690226956, 0.8795816728266588, 0.8799324991616555, 0.8804968835214977, 0.8813440534049657, 0.8825483542681796, 0.8841866350524419, 0.8863355125923402, 0.889068618666983, 0.8924539199732486, 0.8965511892692904, 0.9014096949736201, 0.9070661663514734, 0.9135430818954173, 0.9208473194808924, 0.9289691982524276, 0.9378819338981846, 0.947541520940815, 0.9578870478642951, 0.9688414432706066, 0.9803126437840565, 0.992195167066197, 1.004372066045315, 1.0167172332779049, 1.0290980172232245, 1.0413781051040292, 1.0534206199245246, 1.0650913720967614, 1.0762621989629466, 1.0868143182636976, 1.096641614255896, 1.105653767685529, 1.1137791331166964, 1.1209672591376008, 1.1271909386139363, 1.132447667310011, 1.13676037966301, 1.1401773200016736, 1.1427708956230653, 1.1446353441908546, 1.145883030707063, 1.1466391666280673, 1.1470347110247037, 1.1471971604583853, 1.147238830266868, 1.1472419493321977 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0767845471112537, -0.13335808596265694, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.983399

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

DZ8YZQkL2VekW8temykKAPw

null

false

null

false

DHkRfdNM6E3yadeLPoJrxzZ

DZDpXynCDZdLLrNHd5AFCC6

{"qi": 0.005064849205680251, "vacuum_well": 0.01769949838152095, "aspect_ratio": 9.508039700831258, "max_elongation": 5.8669680958970405, "average_triangularity": 0.008253412273621849, "axis_magnetic_mirror_ratio": 0.2920972830274649, "edge_magnetic_mirror_ratio": 0.3324777674850971, "aspect_ratio_over_edge_rotational_transform": 75.01832454560103, "flux_compression_in_regions_of_bad_curvature": 0.5117096495889586, "axis_rotational_transform_over_n_field_periods": 0.16984702884058994, "edge_rotational_transform_over_n_field_periods": 0.1267428959314021, "minimum_normalized_magnetic_gradient_scale_length": 2.8412314740060407}

9.50804

75.018325

-0.134372

0.292097

0.169847

0.332478

0.126743

0.51171

5.866968

2.841231

0.005065

0.017699

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0034027454940525285,-0.21523743327154504,-0.008154340288343102,0.019674695312691417],[-0.0018118524096545367,-0.018074153285724794,0.02698968869774399,-0.002266486816640963,0.08134625537910221,-0.024709911511449238,0.00020509366118379516,0.004178565265077569,0.0015995145466225623],[-0.0004504173225722564,0.002778213950853584,-0.00946632542924394,-0.0037242064607791144,0.017322708852389807,-0.005559429324059117,-0.007725402912058841,-0.003525806111320939,-0.0010066461044918704],[-0.0007468110692204822,-0.00017917579588788262,0.004191907603781805,-0.00191212930883852,-0.008038733541037582,0.002738450861497548,0.0007478773073019281,0.000013965265390824177,0.0008173596276669888],[0.0005952418250030443,-0.00007411893851060969,-0.0004311905318631909,0.0004997225070314509,-0.0008169424357305187,0.0004346052895879554,0.00018848386209885512,0.00008784089355733495,-0.00022963925405325195]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.016387699279342246,0.02095588259349398,-0.004259804669466766,0.000011167807596561973],[-0.001916528716531907,-0.017080933272059687,0.061064540177275944,0.007159738996604872,-0.16261450275502484,0.003089406580659312,0.009590119544356169,-0.0015909422247383943,-0.002447179618674971],[-0.0028110172880674317,0.004589908406446708,0.00405465689848612,-0.0014863576519935258,0.003175246209270206,-0.0006259718307990592,-0.0020479769626565447,0.002482355464088143,0.0013851231038877459],[-0.0007200203581417195,-0.00032778866323689403,0.0029005781970196857,-0.0017871491604301943,0.005320937915173236,-0.00299835713405651,0.003812943387497988,0.00030982302091529893,-0.0011655466121072646],[0.0010256970896117634,-0.000409699073269243,-0.002743079907732088,0.0006790224693206388,0.002057615468638396,-0.0003555356935121307,-0.0004977195072793396,-0.00021163323837730295,0.00029101954403486116]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.0034027454940525285, -0.21523743327154504, -0.008154340288343102, 0.019674695312691417 ], [ -0.0018118524096545367, -0.018074153285724794, 0.02698968869774399, -0.002266486816640963, 0.08134625537910221, -0.024709911511449238, 0.00020509366118379516, 0.004178565265077569, 0.0015995145466225623 ], [ -0.0004504173225722564, 0.002778213950853584, -0.00946632542924394, -0.0037242064607791144, 0.017322708852389807, -0.005559429324059117, -0.007725402912058841, -0.003525806111320939, -0.0010066461044918704 ], [ -0.0007468110692204822, -0.00017917579588788262, 0.004191907603781805, -0.00191212930883852, -0.008038733541037582, 0.002738450861497548, 0.0007478773073019281, 0.000013965265390824177, 0.0008173596276669888 ], [ 0.0005952418250030443, -0.00007411893851060969, -0.0004311905318631909, 0.0004997225070314509, -0.0008169424357305187, 0.0004346052895879554, 0.00018848386209885512, 0.00008784089355733495, -0.00022963925405325195 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.016387699279342246, 0.02095588259349398, -0.004259804669466766, 0.000011167807596561973 ], [ -0.001916528716531907, -0.017080933272059687, 0.061064540177275944, 0.007159738996604872, -0.16261450275502484, 0.003089406580659312, 0.009590119544356169, -0.0015909422247383943, -0.002447179618674971 ], [ -0.0028110172880674317, 0.004589908406446708, 0.00405465689848612, -0.0014863576519935258, 0.003175246209270206, -0.0006259718307990592, -0.0020479769626565447, 0.002482355464088143, 0.0013851231038877459 ], [ -0.0007200203581417195, -0.00032778866323689403, 0.0029005781970196857, -0.0017871491604301943, 0.005320937915173236, -0.00299835713405651, 0.003812943387497988, 0.00030982302091529893, -0.0011655466121072646 ], [ 0.0010256970896117634, -0.000409699073269243, -0.002743079907732088, 0.0006790224693206388, 0.002057615468638396, -0.0003555356935121307, -0.0004977195072793396, -0.00021163323837730295, 0.00029101954403486116 ] ]

DoD5D63amNMbwFSvocS4D7E

{"aspect_ratio": 11.508645002501474, "major_radius": 1.0, "max_elongation": 5.804946118286118, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.21691587178296318, 0.2874713055060901, 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": [[0.7386717946726875, 0.7386718084674837, 0.7386724919686776, 0.7386785199352057, 0.7387046924763779, 0.7387826705669236, 0.7389668978142974, 0.7393388733970067, 0.7400093209963734, 0.741118069603596, 0.742831663770442, 0.745338871990945, 0.7488443734057901, 0.7535609821451115, 0.7597008205902833, 0.7674658816654895, 0.7770384292284889, 0.7885716774697098, 0.8021811673460911, 0.8179372226112883, 0.835858821908879, 0.855909168481243, 0.8779931770193435, 0.9019570296639278, 0.9275898817345282, 0.9546277239355523, 0.9827593330682284, 1.0116341691488988, 1.0408720047816873, 1.0700740041505559, 1.0988349055977176, 1.1267559049930858, 1.1534577885736692, 1.1785938253105468, 1.2018619019007641, 1.223015370053157, 1.2418720778603962, 1.2583210769375124, 1.272326537127277, 1.283928463732535, 1.293239901705141, 1.3004404309173159, 1.3057659114107665, 1.3094946335966653, 1.3119302741664671, 1.3133823659403188, 1.3141453772997846, 1.314477994657403, 1.3145848664948372, 1.3146040253717137, 1.314604822337813], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.23810251741152635}

11.508645

1

5.804946

[ [ 0.7386717946726875, 0.7386718084674837, 0.7386724919686776, 0.7386785199352057, 0.7387046924763779, 0.7387826705669236, 0.7389668978142974, 0.7393388733970067, 0.7400093209963734, 0.741118069603596, 0.742831663770442, 0.745338871990945, 0.7488443734057901, 0.7535609821451115, 0.7597008205902833, 0.7674658816654895, 0.7770384292284889, 0.7885716774697098, 0.8021811673460911, 0.8179372226112883, 0.835858821908879, 0.855909168481243, 0.8779931770193435, 0.9019570296639278, 0.9275898817345282, 0.9546277239355523, 0.9827593330682284, 1.0116341691488988, 1.0408720047816873, 1.0700740041505559, 1.0988349055977176, 1.1267559049930858, 1.1534577885736692, 1.1785938253105468, 1.2018619019007641, 1.223015370053157, 1.2418720778603962, 1.2583210769375124, 1.272326537127277, 1.283928463732535, 1.293239901705141, 1.3004404309173159, 1.3057659114107665, 1.3094946335966653, 1.3119302741664671, 1.3133823659403188, 1.3141453772997846, 1.314477994657403, 1.3145848664948372, 1.3146040253717137, 1.314604822337813 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.21691587178296318, 0.2874713055060901, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.238103

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

DaBfyLg3vhW9KQtCWuKHgF7

null

false

null

false

DJPfFaQ6KK3BPNkm7gSda7u

DQfQzXw4PisrvvPW6EuuooE

{"qi": 0.0018735237191067748, "vacuum_well": -0.15882153056276704, "aspect_ratio": 9.528457591704898, "max_elongation": 7.447792472347703, "average_triangularity": -0.5580520571153242, "axis_magnetic_mirror_ratio": 0.3492692680082466, "edge_magnetic_mirror_ratio": 0.4334709022176283, "aspect_ratio_over_edge_rotational_transform": 24.970931103340405, "flux_compression_in_regions_of_bad_curvature": 1.4477045039219638, "axis_rotational_transform_over_n_field_periods": 0.2079567434106342, "edge_rotational_transform_over_n_field_periods": 0.1271939967886668, "minimum_normalized_magnetic_gradient_scale_length": 4.274479181612691}

9.528458

24.970931

-0.754125

0.349269

0.207957

0.433471

0.127194

1.447705

7.447792

4.274479

0.001874

-0.158822

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.10441438777981778,-0.03546492423643369,0.012604595702907086,0.001767178516765598],[-0.0006098058056718513,-0.0010147651876234597,0.01145445896782577,-0.0652883129998498,0.12090470547209366,0.009726246735974997,0.0031838678137235607,-0.003962159024276421,0.00012632175003610602],[0.00005531432873637794,-0.005316525723791393,-0.004006171624617647,0.02113990471819733,-0.01856366652981296,0.0037532880276514424,-0.0025300799576415695,0.0032844273898167574,0.000038523786689846726],[-0.0002583123773970615,-0.0007055552298333668,0.0002110621005377523,-0.0035616516896386768,0.005569735375542288,-0.00012523741145084046,-0.00031094990785891004,0.00004159417801103451,0.00006191974152658487],[0.000028844520718043537,0.00033785435364708065,-0.000032824937615243634,-0.0004095886594682489,0.00034110858982717507,-0.0003733605527593024,0.00012758112889523767,0.0001456163371214114,-0.00008310483131168829]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.11812361853574717,0.03475458798053494,-0.005433474390953187,0.002416852255462716],[-0.0012412406998466555,-0.005072860322126359,0.061690168370784795,-0.04837926288146832,-0.14083589514269435,0.057102815553665004,-0.002211429884297702,0.0014326311468610396,-0.002216645338236644],[0.0021924812604604146,-0.0010999994628509912,-0.024395487883590264,0.02633735732246474,-0.001579782649946473,-0.015185726401242225,-0.0054578289028023586,-0.0036535513707422022,0.0017099471208335162],[-0.0002716556240273981,0.0007770913390201878,-0.0011840855363445474,-0.003559702844547984,-0.007034872570045395,0.006580265525466532,-0.0022308995201937723,-0.000029456229109015692,-0.0006615707592876581],[-0.00017680484322729108,0.0002954876120867542,0.0014889994023606099,-0.001099273276811436,-0.0009001881182018627,0.0005118469598989243,-0.0006163608337823123,0.00019575300361599965,-0.00002751037581275246]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.10441438777981778, -0.03546492423643369, 0.012604595702907086, 0.001767178516765598 ], [ -0.0006098058056718513, -0.0010147651876234597, 0.01145445896782577, -0.0652883129998498, 0.12090470547209366, 0.009726246735974997, 0.0031838678137235607, -0.003962159024276421, 0.00012632175003610602 ], [ 0.00005531432873637794, -0.005316525723791393, -0.004006171624617647, 0.02113990471819733, -0.01856366652981296, 0.0037532880276514424, -0.0025300799576415695, 0.0032844273898167574, 0.000038523786689846726 ], [ -0.0002583123773970615, -0.0007055552298333668, 0.0002110621005377523, -0.0035616516896386768, 0.005569735375542288, -0.00012523741145084046, -0.00031094990785891004, 0.00004159417801103451, 0.00006191974152658487 ], [ 0.000028844520718043537, 0.00033785435364708065, -0.000032824937615243634, -0.0004095886594682489, 0.00034110858982717507, -0.0003733605527593024, 0.00012758112889523767, 0.0001456163371214114, -0.00008310483131168829 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.11812361853574717, 0.03475458798053494, -0.005433474390953187, 0.002416852255462716 ], [ -0.0012412406998466555, -0.005072860322126359, 0.061690168370784795, -0.04837926288146832, -0.14083589514269435, 0.057102815553665004, -0.002211429884297702, 0.0014326311468610396, -0.002216645338236644 ], [ 0.0021924812604604146, -0.0010999994628509912, -0.024395487883590264, 0.02633735732246474, -0.001579782649946473, -0.015185726401242225, -0.0054578289028023586, -0.0036535513707422022, 0.0017099471208335162 ], [ -0.0002716556240273981, 0.0007770913390201878, -0.0011840855363445474, -0.003559702844547984, -0.007034872570045395, 0.006580265525466532, -0.0022308995201937723, -0.000029456229109015692, -0.0006615707592876581 ], [ -0.00017680484322729108, 0.0002954876120867542, 0.0014889994023606099, -0.001099273276811436, -0.0009001881182018627, 0.0005118469598989243, -0.0006163608337823123, 0.00019575300361599965, -0.00002751037581275246 ] ]

DSwPM6zt8ARvsGHHsBT9XbA

{"aspect_ratio": 11.614894051563486, "major_radius": 1.0, "max_elongation": 6.886625699658953, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07456935955435029, -0.25986844185532765, 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": [[0.7502361501963662, 0.7502361510767503, 0.7502361986372064, 0.7502366514289412, 0.7502387663280434, 0.7502455335395461, 0.7502626928420617, 0.7502998769059167, 0.7503718344479786, 0.7504996902741821, 0.7507122022483635, 0.751046977462215, 0.7515516116389487, 0.7522847172355619, 0.7533168069085474, 0.7547310000358821, 0.7566235208852832, 0.7591039578142371, 0.7622952536026736, 0.7663333976707136, 0.7713667915345024, 0.7775552594131726, 0.7850686764282292, 0.7940851873408133, 0.8047889892594178, 0.8173676522275046, 0.8320089520740317, 0.8488971903875466, 0.8682089769646666, 0.8901084505963571, 0.9147419146027285, 0.9422318641247662, 0.9726703828501628, 1.006111887618203, 1.0425652002543586, 1.0819849270842392, 1.1242621279495852, 1.1692142583172576, 1.2165743704222047, 1.2659795626140844, 1.3169586706733396, 1.3689192016640988, 1.4211335214034022, 1.4727243237050058, 1.5226494389923915, 1.569686094411344, 1.6124148483175915, 1.649203676208269, 1.6781933808092133, 1.6972880371281938, 1.7041731934438977], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.30141083464663443}

11.614894

1

6.886626

[ [ 0.7502361501963662, 0.7502361510767503, 0.7502361986372064, 0.7502366514289412, 0.7502387663280434, 0.7502455335395461, 0.7502626928420617, 0.7502998769059167, 0.7503718344479786, 0.7504996902741821, 0.7507122022483635, 0.751046977462215, 0.7515516116389487, 0.7522847172355619, 0.7533168069085474, 0.7547310000358821, 0.7566235208852832, 0.7591039578142371, 0.7622952536026736, 0.7663333976707136, 0.7713667915345024, 0.7775552594131726, 0.7850686764282292, 0.7940851873408133, 0.8047889892594178, 0.8173676522275046, 0.8320089520740317, 0.8488971903875466, 0.8682089769646666, 0.8901084505963571, 0.9147419146027285, 0.9422318641247662, 0.9726703828501628, 1.006111887618203, 1.0425652002543586, 1.0819849270842392, 1.1242621279495852, 1.1692142583172576, 1.2165743704222047, 1.2659795626140844, 1.3169586706733396, 1.3689192016640988, 1.4211335214034022, 1.4727243237050058, 1.5226494389923915, 1.569686094411344, 1.6124148483175915, 1.649203676208269, 1.6781933808092133, 1.6972880371281938, 1.7041731934438977 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.07456935955435029, -0.25986844185532765, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.301411

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

DX85uugBSEEwpKw4osHSfxC

null

false

null

false

D7EW8PvWtSVs4uq4XGdxRZp

DQ29c7ktxihGsFDnGVRzQvV

{"qi": 0.002970995277742925, "vacuum_well": 0.024998207559871616, "aspect_ratio": 9.319323214403761, "max_elongation": 5.699822911490886, "average_triangularity": -0.19018241198452202, "axis_magnetic_mirror_ratio": 0.2549641105199797, "edge_magnetic_mirror_ratio": 0.3085918126984048, "aspect_ratio_over_edge_rotational_transform": 118.11989014034842, "flux_compression_in_regions_of_bad_curvature": 1.1116194912221395, "axis_rotational_transform_over_n_field_periods": 0.19087915404238157, "edge_rotational_transform_over_n_field_periods": 0.0788971544363161, "minimum_normalized_magnetic_gradient_scale_length": 2.8838818234899097}

9.319323

118.11989

0.018148

0.254964

0.190879

0.308592

0.078897

1.111619

5.699823

2.883882

0.002971

0.024998

{"r_cos":[[0.0,0.0,0.0,0.0,0.99506579039241,-0.03658794095793956,-0.24418294560054765,0.004157175945740299,0.02470900900297348],[-0.0005433822777808723,-0.004058783122834166,0.03519710134693233,-0.012002441805010323,0.09115953773793316,-0.038223866972114766,0.023158300674281075,0.0034855035854016946,-0.0008271912901467054],[0.000788751039443991,0.0023915169388335606,-0.0030949702580654473,0.012222675666475467,-0.009630468693999562,-0.014472222245609914,-0.002535828119168697,-0.004143808730835859,-0.0007243211543340131],[-0.0001417156291626031,-0.0011085306158852568,-0.0003012944958088856,-0.002115671074955719,0.004329403479112709,0.003944667093861547,0.0006992207547117954,0.0011915072476677982,0.00021988829058833682],[0.0002244139278176022,-0.00021504071775962962,-0.00048112965880278745,0.0009733882983077228,0.0005485543257969985,-0.0007230548316853551,7.600805659148331e-6,-8.144057280344823e-6,-0.00011499349505966931]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.3265788402023849,0.02945023439419827,0.019827845456490422,-0.002498925498649998],[0.00318545098903541,-0.0032782048323036807,0.02509424754044643,-0.10353748536572563,-0.1041251541009587,0.09808579316910959,0.000271736927285755,0.0012045768194730144,-0.0037019205429237724],[0.0013951812843360687,-0.006775364340918605,-0.006008273778617088,-0.0049001032060496715,0.018003277063500772,-0.0002466734384362814,-0.019077042634407453,0.001983085157665562,0.00019718176669839644],[-0.0012860192605773945,0.002390777445008885,-0.0035803685646728445,0.0007901424693792652,0.0033624105637155553,-0.008926999961190528,0.001170235299873306,0.0008763518339075114,-0.00039485119515401517],[0.00026267443635392507,-0.0019425368938321185,0.0009137786214147035,0.0016386734103719376,-0.0034478268218017297,0.0014034070317468362,0.0010901506536032438,-0.0005035568090454804,0.0002210620776389588]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.99506579039241, -0.03658794095793956, -0.24418294560054765, 0.004157175945740299, 0.02470900900297348 ], [ -0.0005433822777808723, -0.004058783122834166, 0.03519710134693233, -0.012002441805010323, 0.09115953773793316, -0.038223866972114766, 0.023158300674281075, 0.0034855035854016946, -0.0008271912901467054 ], [ 0.000788751039443991, 0.0023915169388335606, -0.0030949702580654473, 0.012222675666475467, -0.009630468693999562, -0.014472222245609914, -0.002535828119168697, -0.004143808730835859, -0.0007243211543340131 ], [ -0.0001417156291626031, -0.0011085306158852568, -0.0003012944958088856, -0.002115671074955719, 0.004329403479112709, 0.003944667093861547, 0.0006992207547117954, 0.0011915072476677982, 0.00021988829058833682 ], [ 0.0002244139278176022, -0.00021504071775962962, -0.00048112965880278745, 0.0009733882983077228, 0.0005485543257969985, -0.0007230548316853551, 0.000007600805659148331, -0.000008144057280344823, -0.00011499349505966931 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.3265788402023849, 0.02945023439419827, 0.019827845456490422, -0.002498925498649998 ], [ 0.00318545098903541, -0.0032782048323036807, 0.02509424754044643, -0.10353748536572563, -0.1041251541009587, 0.09808579316910959, 0.000271736927285755, 0.0012045768194730144, -0.0037019205429237724 ], [ 0.0013951812843360687, -0.006775364340918605, -0.006008273778617088, -0.0049001032060496715, 0.018003277063500772, -0.0002466734384362814, -0.019077042634407453, 0.001983085157665562, 0.00019718176669839644 ], [ -0.0012860192605773945, 0.002390777445008885, -0.0035803685646728445, 0.0007901424693792652, 0.0033624105637155553, -0.008926999961190528, 0.001170235299873306, 0.0008763518339075114, -0.00039485119515401517 ], [ 0.00026267443635392507, -0.0019425368938321185, 0.0009137786214147035, 0.0016386734103719376, -0.0034478268218017297, 0.0014034070317468362, 0.0010901506536032438, -0.0005035568090454804, 0.0002210620776389588 ] ]

DerCJZJB2ZA78mfyfUdHpHy

{"aspect_ratio": 9.450562604831887, "major_radius": 1.0, "max_elongation": 5.558853600066557, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.13990113238877097, 0.2389447743573146, 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": [[0.754288126743151, 0.7542884063890922, 0.7542951294193156, 0.7543331225178118, 0.7544536966651312, 0.7547368189165989, 0.7552898126435649, 0.7562437306974099, 0.7577481685062203, 0.7599650905958283, 0.7630621213538514, 0.7672056633138111, 0.7725541388354782, 0.7792515964005646, 0.7874218767592929, 0.7971634944275076, 0.8085453550097204, 0.8216033974905079, 0.8363382222912282, 0.8527137400307524, 0.8706568521937409, 0.8900581530283291, 0.9107736217651203, 0.9326272555194659, 0.9554145758958562, 0.9789069262739042, 1.002856461961843, 1.027001721819023, 1.0510736575561097, 1.0748019857212634, 1.0979217173913767, 1.1201797118475287, 1.1413410930824381, 1.161195361948906, 1.1795620322258973, 1.196295616004359, 1.2112897827778148, 1.2244805177273612, 1.2358481082691584, 1.2454177944612237, 1.2532589290016034, 1.2594825072179503, 1.2642369479947346, 1.267702035035252, 1.2700809673995557, 1.2715905241928782, 1.2724494300253988, 1.2728651337636712, 1.2730194235247883, 1.2730537027567836, 1.2730557426098232], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.21215547491240244}

9.450563

1

5.558854

[ [ 0.754288126743151, 0.7542884063890922, 0.7542951294193156, 0.7543331225178118, 0.7544536966651312, 0.7547368189165989, 0.7552898126435649, 0.7562437306974099, 0.7577481685062203, 0.7599650905958283, 0.7630621213538514, 0.7672056633138111, 0.7725541388354782, 0.7792515964005646, 0.7874218767592929, 0.7971634944275076, 0.8085453550097204, 0.8216033974905079, 0.8363382222912282, 0.8527137400307524, 0.8706568521937409, 0.8900581530283291, 0.9107736217651203, 0.9326272555194659, 0.9554145758958562, 0.9789069262739042, 1.002856461961843, 1.027001721819023, 1.0510736575561097, 1.0748019857212634, 1.0979217173913767, 1.1201797118475287, 1.1413410930824381, 1.161195361948906, 1.1795620322258973, 1.196295616004359, 1.2112897827778148, 1.2244805177273612, 1.2358481082691584, 1.2454177944612237, 1.2532589290016034, 1.2594825072179503, 1.2642369479947346, 1.267702035035252, 1.2700809673995557, 1.2715905241928782, 1.2724494300253988, 1.2728651337636712, 1.2730194235247883, 1.2730537027567836, 1.2730557426098232 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.13990113238877097, 0.2389447743573146, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.212155

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

DLqWXC7JagAnpwtsX53RYEr

null

false

null

false

DaWJLvq6VQRtkiRaq7kdEZm

DZJa78ukszhqWiYYHKHTWRJ

{"qi": 0.0037514913700307626, "vacuum_well": -0.1406260432985788, "aspect_ratio": 9.506538430862076, "max_elongation": 5.68210145974683, "average_triangularity": -0.46610258970913937, "axis_magnetic_mirror_ratio": 0.3063122534394254, "edge_magnetic_mirror_ratio": 0.3280361465353814, "aspect_ratio_over_edge_rotational_transform": 35.01178217653235, "flux_compression_in_regions_of_bad_curvature": 1.494326468733093, "axis_rotational_transform_over_n_field_periods": 0.10300653647773235, "edge_rotational_transform_over_n_field_periods": 0.135761989820017, "minimum_normalized_magnetic_gradient_scale_length": 5.752806140765107}

9.506538

35.011782

-1.045647

0.306312

0.103007

0.328036

0.135762

1.494326

5.682101

5.752806

0.003751

-0.140626

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1224641552666039,-0.02572081814264737,-0.007805718314900762,-0.002176040970110047],[-0.004122068619913038,0.0032228194178171997,0.026404586061563713,-0.04476878604632788,0.07281007269296326,0.008086670952405707,-0.024352929930074145,-0.002178350132742457,0.0018055692218814487],[0.0016015070016388569,0.006201592274259928,-0.01292143987323701,-0.0008528723076528016,-0.020154257132964787,-0.00021145977284482242,0.0022231372288663374,0.0010621368656449004,0.0003984993688290365],[0.0014220155952109825,-0.0028427224963422587,0.0025880530876912613,0.00007125785766553335,0.005145597670662348,-0.0033273251641205833,0.00005419125300187497,0.0005581576486789553,-0.0004996806147707836],[-0.00011351296876753742,0.00042101930926538654,-0.00001371933209503485,-1.633467560723553e-6,-0.000623300597594934,0.0010777454156981718,0.00007081565924479385,-0.00004602083318423216,-0.00007295731413224672]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14043101042019637,0.0020449058039961367,0.007007545632107268,-0.0008650074191176816],[-0.0008980116367370097,-0.002568257154079382,0.013261760399025633,-0.03149317421794188,-0.18095475979640727,0.008774160460601548,0.0030500058569371763,-0.0011130949842416112,0.00002379085252572497],[-0.00015908438059584142,0.005501751031534273,-0.019862946335971608,0.0009152173303390717,-0.004133927744149084,0.004807450426732793,0.0069299661006813245,-0.0013415032225668725,0.0004109522845289059],[-0.00008847819445674696,-0.002006820206280804,0.0027634927337987347,-0.00030322776008767356,0.0014663672440947155,0.0006546375245046271,0.0005614612310074747,-0.0004764157361014191,0.00024070263174149177],[-0.00007224135692296864,0.00022528276594812897,-0.00007518571582460333,-0.00034007507461467686,-0.00009512512922672585,-0.0001306832611254254,0.00012474101289231378,0.00007837045172488083,0.000058881322488364146]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.1224641552666039, -0.02572081814264737, -0.007805718314900762, -0.002176040970110047 ], [ -0.004122068619913038, 0.0032228194178171997, 0.026404586061563713, -0.04476878604632788, 0.07281007269296326, 0.008086670952405707, -0.024352929930074145, -0.002178350132742457, 0.0018055692218814487 ], [ 0.0016015070016388569, 0.006201592274259928, -0.01292143987323701, -0.0008528723076528016, -0.020154257132964787, -0.00021145977284482242, 0.0022231372288663374, 0.0010621368656449004, 0.0003984993688290365 ], [ 0.0014220155952109825, -0.0028427224963422587, 0.0025880530876912613, 0.00007125785766553335, 0.005145597670662348, -0.0033273251641205833, 0.00005419125300187497, 0.0005581576486789553, -0.0004996806147707836 ], [ -0.00011351296876753742, 0.00042101930926538654, -0.00001371933209503485, -0.000001633467560723553, -0.000623300597594934, 0.0010777454156981718, 0.00007081565924479385, -0.00004602083318423216, -0.00007295731413224672 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14043101042019637, 0.0020449058039961367, 0.007007545632107268, -0.0008650074191176816 ], [ -0.0008980116367370097, -0.002568257154079382, 0.013261760399025633, -0.03149317421794188, -0.18095475979640727, 0.008774160460601548, 0.0030500058569371763, -0.0011130949842416112, 0.00002379085252572497 ], [ -0.00015908438059584142, 0.005501751031534273, -0.019862946335971608, 0.0009152173303390717, -0.004133927744149084, 0.004807450426732793, 0.0069299661006813245, -0.0013415032225668725, 0.0004109522845289059 ], [ -0.00008847819445674696, -0.002006820206280804, 0.0027634927337987347, -0.00030322776008767356, 0.0014663672440947155, 0.0006546375245046271, 0.0005614612310074747, -0.0004764157361014191, 0.00024070263174149177 ], [ -0.00007224135692296864, 0.00022528276594812897, -0.00007518571582460333, -0.00034007507461467686, -0.00009512512922672585, -0.0001306832611254254, 0.00012474101289231378, 0.00007837045172488083, 0.000058881322488364146 ] ]

DmesbLNt6TKptM9ewDhQmoP

{"aspect_ratio": 9.49202432582004, "major_radius": 1.0, "max_elongation": 5.8229523022373595, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.19569042548584248, 0.16330529394092158, 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": [[0.798418342891092, 0.7984183833973028, 0.7984194078659748, 0.7984254885868775, 0.7984457474055384, 0.7984956843636626, 0.7985981030313217, 0.7987837146075681, 0.7990914677524523, 0.799568635892158, 0.8002706855953641, 0.8012609447282211, 0.8026100859346137, 0.8043954388444406, 0.8067001429131869, 0.8096121517311067, 0.8132230988845682, 0.8176270349277438, 0.822919044680487, 0.8291937538765369, 0.8365437341258632, 0.8450578152154795, 0.8548193139506857, 0.865904189035615, 0.8783791319158735, 0.8922996040705619, 0.9077078319662903, 0.9246307718002644, 0.9430780573017342, 0.9630399452831733, 0.9844852754048761, 1.007359462834831, 1.0315825452809082, 1.0570473094268074, 1.083617526373895, 1.1111263316471545, 1.139374793205622, 1.1681307215161214, 1.1971277903493813, 1.2260650575111998, 1.2546070044542517, 1.2823842581144436, 1.308995227136648, 1.3340089962003474, 1.356970013029653, 1.3774054521101613, 1.394836836835414, 1.4087990669682229, 1.4188741496333568, 1.4247613937046384, 1.4265030356863126], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.22064849456659533}

9.492024

1

5.822952

[ [ 0.798418342891092, 0.7984183833973028, 0.7984194078659748, 0.7984254885868775, 0.7984457474055384, 0.7984956843636626, 0.7985981030313217, 0.7987837146075681, 0.7990914677524523, 0.799568635892158, 0.8002706855953641, 0.8012609447282211, 0.8026100859346137, 0.8043954388444406, 0.8067001429131869, 0.8096121517311067, 0.8132230988845682, 0.8176270349277438, 0.822919044680487, 0.8291937538765369, 0.8365437341258632, 0.8450578152154795, 0.8548193139506857, 0.865904189035615, 0.8783791319158735, 0.8922996040705619, 0.9077078319662903, 0.9246307718002644, 0.9430780573017342, 0.9630399452831733, 0.9844852754048761, 1.007359462834831, 1.0315825452809082, 1.0570473094268074, 1.083617526373895, 1.1111263316471545, 1.139374793205622, 1.1681307215161214, 1.1971277903493813, 1.2260650575111998, 1.2546070044542517, 1.2823842581144436, 1.308995227136648, 1.3340089962003474, 1.356970013029653, 1.3774054521101613, 1.394836836835414, 1.4087990669682229, 1.4188741496333568, 1.4247613937046384, 1.4265030356863126 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.19569042548584248, 0.16330529394092158, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.220648

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

DEjrbanfogjdGgPXoH5z8CW

null

false

null

false

DCb4gDKsaHT8wv5tYugv9wi

DCN8VwjHnofKqPeafqrSx4i

{"qi": 0.0064498752071349775, "vacuum_well": -0.11041887713433082, "aspect_ratio": 9.47954395085608, "max_elongation": 5.3055767709065975, "average_triangularity": -0.3580672354482008, "axis_magnetic_mirror_ratio": 0.17054114013340405, "edge_magnetic_mirror_ratio": 0.20876082216088637, "aspect_ratio_over_edge_rotational_transform": 11.099956304843813, "flux_compression_in_regions_of_bad_curvature": 1.4944280805319583, "axis_rotational_transform_over_n_field_periods": 0.17154760529798443, "edge_rotational_transform_over_n_field_periods": 0.28467211012711774, "minimum_normalized_magnetic_gradient_scale_length": 5.813138539191418}

9.479544

11.099956

-0.600686

0.170541

0.171548

0.208761

0.284672

1.494428

5.305577

5.813139

0.00645

-0.110419

{"r_cos":[[0.0,0.0,0.0,0.0,0.9998903962147587,-0.0347355385064788,-0.0306353728911606,0.0005318928799848446,-0.00023493069133563062],[0.0005115066030102628,0.00003524959713308636,-0.006142090146515328,-0.058388609290808274,0.13340560436466073,-0.008674010862524131,-0.002834069742315517,0.00042701644523599803,-0.000027852778733138958],[-0.0011240413815322274,-0.003388457293172838,-0.013528451212234761,-0.005088265948271486,-0.024311118310658488,0.01742133711889419,-0.004388603470292057,0.0009313171628579733,-0.000025327111014661016],[0.0010859442404826287,0.0022609192916464805,0.0065952007337817115,-0.0036952171205900898,-0.003518375025896239,0.0001809484117303061,-0.00020181598184352114,0.00015923786837273202,3.4243670826954306e-6],[-0.00025841645306821015,-0.0003669628186092946,-0.0004207247667682856,0.0015509812376410873,-0.00007713847366421293,-0.0003548449384860095,0.0000527581049271793,0.000038576781325212745,4.4448297262964995e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.21387891556307703,0.022872424676345558,0.001396664601225884,0.00044076250622986096],[0.0007103447804734527,-0.0012835553570448737,-0.005342344310923557,-0.08515067278558662,-0.11597835760806803,0.03180572002621486,-0.006878817107051564,0.002096366961015991,-0.00044720166983706856],[-0.0014678625263678127,-0.002503491004201403,-0.010571233234101961,0.001973958885919968,0.00034868279580779825,-0.009947155127996918,0.004323449948655548,-0.0017763474521525987,0.00043091182777829596],[0.0010864619695003077,0.002331348294792877,0.007066314090116879,0.00755227203589089,0.002213009481702588,-0.0005364637043563168,0.0004238278239631294,-0.00025736849928289823,-5.352582034091956e-6],[-0.00016299368199952495,-0.0005261110511539267,-0.00046614184101107165,-0.0006718921372382964,0.00022333720835536952,0.00014629056731230275,-0.00008423906785802251,0.0000456489394963856,3.529986340136031e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9998903962147587, -0.0347355385064788, -0.0306353728911606, 0.0005318928799848446, -0.00023493069133563062 ], [ 0.0005115066030102628, 0.00003524959713308636, -0.006142090146515328, -0.058388609290808274, 0.13340560436466073, -0.008674010862524131, -0.002834069742315517, 0.00042701644523599803, -0.000027852778733138958 ], [ -0.0011240413815322274, -0.003388457293172838, -0.013528451212234761, -0.005088265948271486, -0.024311118310658488, 0.01742133711889419, -0.004388603470292057, 0.0009313171628579733, -0.000025327111014661016 ], [ 0.0010859442404826287, 0.0022609192916464805, 0.0065952007337817115, -0.0036952171205900898, -0.003518375025896239, 0.0001809484117303061, -0.00020181598184352114, 0.00015923786837273202, 0.0000034243670826954306 ], [ -0.00025841645306821015, -0.0003669628186092946, -0.0004207247667682856, 0.0015509812376410873, -0.00007713847366421293, -0.0003548449384860095, 0.0000527581049271793, 0.000038576781325212745, 0.0000044448297262964995 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.21387891556307703, 0.022872424676345558, 0.001396664601225884, 0.00044076250622986096 ], [ 0.0007103447804734527, -0.0012835553570448737, -0.005342344310923557, -0.08515067278558662, -0.11597835760806803, 0.03180572002621486, -0.006878817107051564, 0.002096366961015991, -0.00044720166983706856 ], [ -0.0014678625263678127, -0.002503491004201403, -0.010571233234101961, 0.001973958885919968, 0.00034868279580779825, -0.009947155127996918, 0.004323449948655548, -0.0017763474521525987, 0.00043091182777829596 ], [ 0.0010864619695003077, 0.002331348294792877, 0.007066314090116879, 0.00755227203589089, 0.002213009481702588, -0.0005364637043563168, 0.0004238278239631294, -0.00025736849928289823, -0.000005352582034091956 ], [ -0.00016299368199952495, -0.0005261110511539267, -0.00046614184101107165, -0.0006718921372382964, 0.00022333720835536952, 0.00014629056731230275, -0.00008423906785802251, 0.0000456489394963856, 0.000003529986340136031 ] ]

DZG6RmLs6KaxrMH6vq7G3iY

{"aspect_ratio": 9.29340155317958, "major_radius": 1.0, "max_elongation": 4.815209484448462, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.02282832420232728, -0.07837186622392779, 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": [[0.8322696441254313, 0.8322698338061145, 0.8322741723486023, 0.832298019733902, 0.8323724286531649, 0.8325452665824156, 0.8328805240988156, 0.8334564260970031, 0.8343627328332356, 0.8356975094130225, 0.8375635784734525, 0.8400648280429917, 0.8433025153826289, 0.8473716834536971, 0.8523577870626349, 0.8583336092668585, 0.8653565343960375, 0.8734662314646304, 0.8826827904247938, 0.8930053433504467, 0.9044111930460123, 0.916855462581044, 0.9302712707437047, 0.9445704302859035, 0.9596446580224146, 0.9753672782797667, 0.9915953938111924, 1.0081724910506997, 1.0249314394252684, 1.0416978373340653, 1.0582936502920814, 1.0745410795754162, 1.0902665924452508, 1.105305037609381, 1.1195037619362405, 1.1327266364846003, 1.1448578915502636, 1.1558056515275956, 1.1655050507647353, 1.1739208010201718, 1.1810490692729023, 1.1869185110171694, 1.191590288061634, 1.1951568801158923, 1.1977394742120115, 1.1994836819968764, 1.2005532859536003, 1.2011216387782664, 1.2013602047241516, 1.201423447823691, 1.2014284512481148], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5782657501102968}

9.293402

1

4.815209

[ [ 0.8322696441254313, 0.8322698338061145, 0.8322741723486023, 0.832298019733902, 0.8323724286531649, 0.8325452665824156, 0.8328805240988156, 0.8334564260970031, 0.8343627328332356, 0.8356975094130225, 0.8375635784734525, 0.8400648280429917, 0.8433025153826289, 0.8473716834536971, 0.8523577870626349, 0.8583336092668585, 0.8653565343960375, 0.8734662314646304, 0.8826827904247938, 0.8930053433504467, 0.9044111930460123, 0.916855462581044, 0.9302712707437047, 0.9445704302859035, 0.9596446580224146, 0.9753672782797667, 0.9915953938111924, 1.0081724910506997, 1.0249314394252684, 1.0416978373340653, 1.0582936502920814, 1.0745410795754162, 1.0902665924452508, 1.105305037609381, 1.1195037619362405, 1.1327266364846003, 1.1448578915502636, 1.1558056515275956, 1.1655050507647353, 1.1739208010201718, 1.1810490692729023, 1.1869185110171694, 1.191590288061634, 1.1951568801158923, 1.1977394742120115, 1.1994836819968764, 1.2005532859536003, 1.2011216387782664, 1.2013602047241516, 1.201423447823691, 1.2014284512481148 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.02282832420232728, -0.07837186622392779, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.578266

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

DBX4QECcD5ZEab9RNvLxBy7

null

false

null

false

DQiAz5vEKLuTkCjFxdQFdcA

DG7t7BvwTsChmLN3jnz2hYn

{"qi": 0.008063224374071153, "vacuum_well": -0.13978855410976435, "aspect_ratio": 9.686082338534721, "max_elongation": 5.972174963670424, "average_triangularity": -0.25336833240068285, "axis_magnetic_mirror_ratio": 0.29526508981610583, "edge_magnetic_mirror_ratio": 0.3381517728113123, "aspect_ratio_over_edge_rotational_transform": 11.505357417305532, "flux_compression_in_regions_of_bad_curvature": 1.8302723441506565, "axis_rotational_transform_over_n_field_periods": 0.2413389473224002, "edge_rotational_transform_over_n_field_periods": 0.21046895779103766, "minimum_normalized_magnetic_gradient_scale_length": 8.599319939558026}

9.686082

11.505357

-0.452344

0.295265

0.241339

0.338152

0.210469

1.830272

5.972175

8.59932

0.008063

-0.139789

{"r_cos":[[0.0,0.0,0.0,0.0,0.9965946506246391,0.027331648939377826,-0.006922868704025526,-0.000581157464188988,0.0003857278179586433],[0.0001355296598928512,-0.001255066466556272,-0.006700954725815877,-0.07702138903851419,0.12109969631601035,0.0023207997645440306,-0.0037792591895210127,0.0007797442739059015,0.00027786477921193744],[7.872729171880125e-7,0.00006066419691726498,-0.00046167361934369364,0.01365718058491394,-0.02116248515069623,0.015869165222388897,-0.005140949083395581,0.000686258024345596,0.00005148559593456023],[0.0000771132901099097,-0.0012482859439450818,-0.001740683677422018,-0.0007564189291791765,0.004174711659677711,-0.0009950909187322078,-0.00013969855278330974,-0.000016904448213516635,0.000045452620201067706],[-0.00019696076837856958,0.00021779602360977004,-0.0010007436730470024,-0.0008841299882203363,-0.0005109162505682005,0.0008052659963981874,-0.00040097691341741743,0.00014363667917946646,-4.999337483083577e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.051694965919755115,0.006567918442901589,0.0003160161799558685,-0.00036332667623385946],[-0.00036846262969667367,-0.0005336336794902588,-0.0008761672074763783,-0.08574645189252747,-0.1572601602836681,0.034236993504459946,-0.002299387487851813,-0.000923442459328929,0.00010611586419583373],[-0.00042785132159331224,-0.0009069132563527839,-0.0070233723679590625,0.024240210175943636,-0.0219921998064495,0.003133638429115116,0.0029900786589916184,-0.0009632269243391829,0.00009833662812760169],[-0.00011396044950025516,-0.0008621104132706047,-0.005646426834990371,-0.0020085028461693482,-0.0035620422615242563,0.001341861269402092,-0.00011742357216452688,6.795898012340303e-6,-0.00002294012013892948],[-0.00003369964878385313,0.00036602658770259073,0.0007320631065411696,0.00003519552866297523,0.0005753297413795943,-0.0009029458703108525,0.00014314968185408938,-1.3494954739652317e-6,0.00001020932885082565]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9965946506246391, 0.027331648939377826, -0.006922868704025526, -0.000581157464188988, 0.0003857278179586433 ], [ 0.0001355296598928512, -0.001255066466556272, -0.006700954725815877, -0.07702138903851419, 0.12109969631601035, 0.0023207997645440306, -0.0037792591895210127, 0.0007797442739059015, 0.00027786477921193744 ], [ 7.872729171880125e-7, 0.00006066419691726498, -0.00046167361934369364, 0.01365718058491394, -0.02116248515069623, 0.015869165222388897, -0.005140949083395581, 0.000686258024345596, 0.00005148559593456023 ], [ 0.0000771132901099097, -0.0012482859439450818, -0.001740683677422018, -0.0007564189291791765, 0.004174711659677711, -0.0009950909187322078, -0.00013969855278330974, -0.000016904448213516635, 0.000045452620201067706 ], [ -0.00019696076837856958, 0.00021779602360977004, -0.0010007436730470024, -0.0008841299882203363, -0.0005109162505682005, 0.0008052659963981874, -0.00040097691341741743, 0.00014363667917946646, -0.000004999337483083577 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.051694965919755115, 0.006567918442901589, 0.0003160161799558685, -0.00036332667623385946 ], [ -0.00036846262969667367, -0.0005336336794902588, -0.0008761672074763783, -0.08574645189252747, -0.1572601602836681, 0.034236993504459946, -0.002299387487851813, -0.000923442459328929, 0.00010611586419583373 ], [ -0.00042785132159331224, -0.0009069132563527839, -0.0070233723679590625, 0.024240210175943636, -0.0219921998064495, 0.003133638429115116, 0.0029900786589916184, -0.0009632269243391829, 0.00009833662812760169 ], [ -0.00011396044950025516, -0.0008621104132706047, -0.005646426834990371, -0.0020085028461693482, -0.0035620422615242563, 0.001341861269402092, -0.00011742357216452688, 0.000006795898012340303, -0.00002294012013892948 ], [ -0.00003369964878385313, 0.00036602658770259073, 0.0007320631065411696, 0.00003519552866297523, 0.0005753297413795943, -0.0009029458703108525, 0.00014314968185408938, -0.0000013494954739652317, 0.00001020932885082565 ] ]

DC5CK939jbMdFee4yqHxwGb

{"aspect_ratio": 9.957503159017216, "major_radius": 1.0, "max_elongation": 5.8635004217705635, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.32045903649470137, -0.2725718457667633, 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": [[0.7053338276226837, 0.70533413463554, 0.7053428068775364, 0.7053964573841224, 0.7055765603901524, 0.7060152209665803, 0.7068928662897754, 0.7084301543911186, 0.7108760301491267, 0.7144935467891418, 0.7195447946475794, 0.7262760300838896, 0.7349038725256452, 0.7456032345344606, 0.7584974670059117, 0.7736510380559872, 0.7910649188989636, 0.8106747223101785, 0.8323515283915137, 0.8559052376639694, 0.8810902123752297, 0.9076129027205649, 0.9351411048287517, 0.963314461255703, 0.9917557917449201, 1.0200828315313437, 1.0479199558423504, 1.0749094818237448, 1.100722162200327, 1.1250665178491328, 1.1476966983603338, 1.168418609783333, 1.1870941062487987, 1.2036431061041934, 1.2180435626097892, 1.2303292930343523, 1.2405857469767194, 1.2489438736006007, 1.2555723267184589, 1.2606683245988008, 1.2644475560290138, 1.2671335932098153, 1.2689473326595502, 1.2700970339415312, 1.2707695581470193, 1.2711234175477568, 1.2712842259811556, 1.271343073117515, 1.271358212677995, 1.271360212685193, 1.2713602641821304], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0830562090713878}

9.957503

1

5.8635

[ [ 0.7053338276226837, 0.70533413463554, 0.7053428068775364, 0.7053964573841224, 0.7055765603901524, 0.7060152209665803, 0.7068928662897754, 0.7084301543911186, 0.7108760301491267, 0.7144935467891418, 0.7195447946475794, 0.7262760300838896, 0.7349038725256452, 0.7456032345344606, 0.7584974670059117, 0.7736510380559872, 0.7910649188989636, 0.8106747223101785, 0.8323515283915137, 0.8559052376639694, 0.8810902123752297, 0.9076129027205649, 0.9351411048287517, 0.963314461255703, 0.9917557917449201, 1.0200828315313437, 1.0479199558423504, 1.0749094818237448, 1.100722162200327, 1.1250665178491328, 1.1476966983603338, 1.168418609783333, 1.1870941062487987, 1.2036431061041934, 1.2180435626097892, 1.2303292930343523, 1.2405857469767194, 1.2489438736006007, 1.2555723267184589, 1.2606683245988008, 1.2644475560290138, 1.2671335932098153, 1.2689473326595502, 1.2700970339415312, 1.2707695581470193, 1.2711234175477568, 1.2712842259811556, 1.271343073117515, 1.271358212677995, 1.271360212685193, 1.2713602641821304 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.32045903649470137, -0.2725718457667633, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.083056

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

DhfwUyfLfJmL4FZtooALJHo

null

false

null

false

DHp4kof4h8usU6LjhtJg69J

DJesCchRQ4WC3bFbvhkXecu

{"qi": 0.01979596413004002, "vacuum_well": -0.14670255699820664, "aspect_ratio": 10.376240760140552, "max_elongation": 4.5085527676213335, "average_triangularity": -0.5446502820689396, "axis_magnetic_mirror_ratio": 0.11933706012531453, "edge_magnetic_mirror_ratio": 0.16653298737840347, "aspect_ratio_over_edge_rotational_transform": 22.212268043401203, "flux_compression_in_regions_of_bad_curvature": 1.1347933048862329, "axis_rotational_transform_over_n_field_periods": 0.11629556963501056, "edge_rotational_transform_over_n_field_periods": 0.1167850210058031, "minimum_normalized_magnetic_gradient_scale_length": 5.903997263685843}

10.376241

22.212268

-0.814473

0.119337

0.116296

0.166533

0.116785

1.134793

4.508553

5.903997

0.019796

-0.146703

{"r_cos":[[0.0,0.0,0.0,0.0,1.000119561982532,0.0077238336629301225,-0.009062460377020017,0.0003759239949201448,0.00034781047462306616],[-0.0008415035373536668,-0.0032997690948965257,-0.003433873394070859,-0.02671212635851431,0.10642740084118758,-0.011118309548332976,-0.0056905305436068575,-0.00012316874254382948,0.00009623054319136395],[-0.00039545749739792536,-0.0018231025680172505,-0.007138369230984211,-0.0041481055532334304,-0.0012828914042344217,0.00953813239431442,-0.004041842198660151,0.000554323731875384,-0.00011318382505362868],[0.0003753126676519883,0.0014031950502770216,0.0007351576635374994,-0.0007393142632779381,-0.0013424465121461583,0.001000371011772999,-0.0013893652453324757,0.0008340687825619409,-0.0002021219623193428],[-0.00019240678028263722,-0.00022845180249653498,-0.00004021923545934456,0.0003354056766963873,-0.00028723176049913,0.00028261270888434295,0.00007214940700235378,-0.00011872821688303279,0.00003281649341865173]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0629615947434843,0.0098873496419021,0.00028978024886658875,-0.0002611575919650028],[-0.0005869120968191372,-0.004464203901431014,-0.012047827183264536,-0.08150748502592846,-0.10985217745266275,0.05292162648602812,-0.002421217332105827,-0.0004495358246002102,0.00006706403532247794],[-0.00003470767763305953,0.0007310410328874933,-0.0038680600040026424,-0.001113752958664306,-0.03469740297832371,0.013677838335071097,0.0019182766548128272,-0.0016088977785477375,0.00018463174463388742],[0.00013521486433757114,0.0013565021496230066,0.0021565186574666194,-0.0022075987708307762,-0.0075006212305234405,0.007895406545905165,-0.0006776203557060674,-0.0010049999490340357,0.0003708414474047848],[-0.0001983383939046302,-0.0006758024168744122,0.00020255242583923583,0.0006842070336323806,0.0008508943295322802,-0.0003251217331781151,-0.0003472463889656907,0.0001315405165678399,0.00004179440076350803]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1.000119561982532, 0.0077238336629301225, -0.009062460377020017, 0.0003759239949201448, 0.00034781047462306616 ], [ -0.0008415035373536668, -0.0032997690948965257, -0.003433873394070859, -0.02671212635851431, 0.10642740084118758, -0.011118309548332976, -0.0056905305436068575, -0.00012316874254382948, 0.00009623054319136395 ], [ -0.00039545749739792536, -0.0018231025680172505, -0.007138369230984211, -0.0041481055532334304, -0.0012828914042344217, 0.00953813239431442, -0.004041842198660151, 0.000554323731875384, -0.00011318382505362868 ], [ 0.0003753126676519883, 0.0014031950502770216, 0.0007351576635374994, -0.0007393142632779381, -0.0013424465121461583, 0.001000371011772999, -0.0013893652453324757, 0.0008340687825619409, -0.0002021219623193428 ], [ -0.00019240678028263722, -0.00022845180249653498, -0.00004021923545934456, 0.0003354056766963873, -0.00028723176049913, 0.00028261270888434295, 0.00007214940700235378, -0.00011872821688303279, 0.00003281649341865173 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0629615947434843, 0.0098873496419021, 0.00028978024886658875, -0.0002611575919650028 ], [ -0.0005869120968191372, -0.004464203901431014, -0.012047827183264536, -0.08150748502592846, -0.10985217745266275, 0.05292162648602812, -0.002421217332105827, -0.0004495358246002102, 0.00006706403532247794 ], [ -0.00003470767763305953, 0.0007310410328874933, -0.0038680600040026424, -0.001113752958664306, -0.03469740297832371, 0.013677838335071097, 0.0019182766548128272, -0.0016088977785477375, 0.00018463174463388742 ], [ 0.00013521486433757114, 0.0013565021496230066, 0.0021565186574666194, -0.0022075987708307762, -0.0075006212305234405, 0.007895406545905165, -0.0006776203557060674, -0.0010049999490340357, 0.0003708414474047848 ], [ -0.0001983383939046302, -0.0006758024168744122, 0.00020255242583923583, 0.0006842070336323806, 0.0008508943295322802, -0.0003251217331781151, -0.0003472463889656907, 0.0001315405165678399, 0.00004179440076350803 ] ]

D3SDNRYJQFHyeLi4qzLKobf

{"aspect_ratio": 10.375006443018249, "major_radius": 1.0, "max_elongation": 4.179319205886017, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.19805556006658903, -0.6844175887005846, 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": [[0.9187472814573119, 0.9187472861117583, 0.918747446683029, 0.918748599626113, 0.9187529871402775, 0.9187649432642392, 0.918791497216153, 0.9188428747336433, 0.9189328868579218, 0.9190792002368485, 0.9193034859723315, 0.9196314461332202, 0.9200927186625565, 0.9207206627163383, 0.9215520275874308, 0.9226265093594688, 0.9239862003457122, 0.9256749372280878, 0.9277375546456953, 0.9302190518089606, 0.9331636805519029, 0.9366139640959672, 0.940609656699757, 0.9451866553256866, 0.9503758754846122, 0.9562021045429772, 0.9626828470176537, 0.96982717777029, 0.9776346205811797, 0.9860940713774299, 0.9951827874690922, 1.0048654665849805, 1.0150934423964268, 1.025804026705767, 1.0369200327397086, 1.0483495192807353, 1.0599858020549373, 1.0717077873996648, 1.0833806945461868, 1.0948572480786851, 1.105979443184714, 1.1165810163389849, 1.1264907984595998, 1.135537196089139, 1.1435541574879504, 1.150389173396282, 1.1559142247819196, 1.1600413499700786, 1.1627463651349126, 1.1641101237760345, 1.1644190928896423], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.504911341645766}

10.375006

1

4.179319

[ [ 0.9187472814573119, 0.9187472861117583, 0.918747446683029, 0.918748599626113, 0.9187529871402775, 0.9187649432642392, 0.918791497216153, 0.9188428747336433, 0.9189328868579218, 0.9190792002368485, 0.9193034859723315, 0.9196314461332202, 0.9200927186625565, 0.9207206627163383, 0.9215520275874308, 0.9226265093594688, 0.9239862003457122, 0.9256749372280878, 0.9277375546456953, 0.9302190518089606, 0.9331636805519029, 0.9366139640959672, 0.940609656699757, 0.9451866553256866, 0.9503758754846122, 0.9562021045429772, 0.9626828470176537, 0.96982717777029, 0.9776346205811797, 0.9860940713774299, 0.9951827874690922, 1.0048654665849805, 1.0150934423964268, 1.025804026705767, 1.0369200327397086, 1.0483495192807353, 1.0599858020549373, 1.0717077873996648, 1.0833806945461868, 1.0948572480786851, 1.105979443184714, 1.1165810163389849, 1.1264907984595998, 1.135537196089139, 1.1435541574879504, 1.150389173396282, 1.1559142247819196, 1.1600413499700786, 1.1627463651349126, 1.1641101237760345, 1.1644190928896423 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.19805556006658903, -0.6844175887005846, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.504911

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

DoNhUGJ9b2gCiXTNVyUaBdn

null

false

null

false

DBzEhj4Ee89zCavzXVE2qR7

DGj3jUsdAvA5RSDMZeevb9C

{"qi": 0.007913340304367824, "vacuum_well": -0.14734146828397796, "aspect_ratio": 10.107545473047757, "max_elongation": 5.050919726684516, "average_triangularity": -0.7085504518145187, "axis_magnetic_mirror_ratio": 0.1756848336449512, "edge_magnetic_mirror_ratio": 0.20022552064120658, "aspect_ratio_over_edge_rotational_transform": 31.69350209181579, "flux_compression_in_regions_of_bad_curvature": 1.2926711876279129, "axis_rotational_transform_over_n_field_periods": 0.09676095749049614, "edge_rotational_transform_over_n_field_periods": 0.15945769331149157, "minimum_normalized_magnetic_gradient_scale_length": 4.440447039056347}

10.107545

31.693502

-1.140576

0.175685

0.096761

0.200226

0.159458

1.292671

5.05092

4.440447

0.007913

-0.147341

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.03689952854478587,-0.04526669529422984,-0.0008951516558124116,0.0008293035727167369],[0.0006947964578982022,-0.0066518674534018956,0.027401508419532532,-0.03271765646637298,0.06699673282363947,0.0018378760795176186,-0.005688242472507389,-0.0010308102286992844,-0.0004437639088086255],[-0.00013130994105897199,0.003702754163376361,-0.0036550729300820965,-0.01602268061993623,-0.030890389658469786,-0.009107674558856544,-0.004133797770093931,-0.00006034884079562865,0.00013970450429205374],[0.0002241218714217305,-0.00018855350009716281,-0.0019137828442402122,0.006118466333878261,0.002861403206481329,0.001414900165936562,0.000553808654504647,0.0005516768309510119,0.000015182019040924915],[-0.000371202484745693,-0.000054726258653584395,-0.00048434882088458216,0.0019372404736714745,0.0019341480128418106,0.0010389707335145021,0.0004890107592719746,-0.000027078307947481575,0.000017426368377483918]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.055226988992579495,0.025977223224853362,0.0021186504931530016,-0.0004025784927109639],[0.0006587905646984875,-0.00846897848165204,0.03496264299020834,-0.011137246417325237,-0.1643937196438631,-0.003353547768827828,0.006542633499602128,0.0008290149822173247,0.0002515958285385137],[-0.0010824923902604028,0.008250745063775908,-0.020988926367744444,0.014560864872792248,-0.004141353991460926,0.0014480134051130175,0.00452290180559981,0.00013775037954127673,-0.0003125823710789092],[0.00009318798801948071,-0.00014626092055940033,-0.002984553523948534,0.007303187133068111,-0.0025232883776223733,-0.0006854349868543439,0.00004413699404310083,-0.00041400200641554866,0.00010795381761534323],[-0.000235428378447236,-0.00013284317868569789,0.0007650820152107737,0.00045379176020965623,0.000031900201330427234,-0.000407282474859766,-0.0004941032102819922,0.00008408882171242668,0.00002258756946634507]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.03689952854478587, -0.04526669529422984, -0.0008951516558124116, 0.0008293035727167369 ], [ 0.0006947964578982022, -0.0066518674534018956, 0.027401508419532532, -0.03271765646637298, 0.06699673282363947, 0.0018378760795176186, -0.005688242472507389, -0.0010308102286992844, -0.0004437639088086255 ], [ -0.00013130994105897199, 0.003702754163376361, -0.0036550729300820965, -0.01602268061993623, -0.030890389658469786, -0.009107674558856544, -0.004133797770093931, -0.00006034884079562865, 0.00013970450429205374 ], [ 0.0002241218714217305, -0.00018855350009716281, -0.0019137828442402122, 0.006118466333878261, 0.002861403206481329, 0.001414900165936562, 0.000553808654504647, 0.0005516768309510119, 0.000015182019040924915 ], [ -0.000371202484745693, -0.000054726258653584395, -0.00048434882088458216, 0.0019372404736714745, 0.0019341480128418106, 0.0010389707335145021, 0.0004890107592719746, -0.000027078307947481575, 0.000017426368377483918 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.055226988992579495, 0.025977223224853362, 0.0021186504931530016, -0.0004025784927109639 ], [ 0.0006587905646984875, -0.00846897848165204, 0.03496264299020834, -0.011137246417325237, -0.1643937196438631, -0.003353547768827828, 0.006542633499602128, 0.0008290149822173247, 0.0002515958285385137 ], [ -0.0010824923902604028, 0.008250745063775908, -0.020988926367744444, 0.014560864872792248, -0.004141353991460926, 0.0014480134051130175, 0.00452290180559981, 0.00013775037954127673, -0.0003125823710789092 ], [ 0.00009318798801948071, -0.00014626092055940033, -0.002984553523948534, 0.007303187133068111, -0.0025232883776223733, -0.0006854349868543439, 0.00004413699404310083, -0.00041400200641554866, 0.00010795381761534323 ], [ -0.000235428378447236, -0.00013284317868569789, 0.0007650820152107737, 0.00045379176020965623, 0.000031900201330427234, -0.000407282474859766, -0.0004941032102819922, 0.00008408882171242668, 0.00002258756946634507 ] ]

D37wf4wRJx4iwL4UmdTvoZh

{"aspect_ratio": 10.582540770421645, "major_radius": 1.0, "max_elongation": 4.729695395771279, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.07181456120711259, -0.37077569219524165, 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": [[0.8818498076769907, 0.8818498120309215, 0.8818499739531096, 0.8818511928531085, 0.8818559924406587, 0.8818694246313536, 0.8818999175139396, 0.8819600279650242, 0.8820670740248643, 0.8822436301142612, 0.8825178733371437, 0.8829237728203697, 0.8835011169009965, 0.8842953753001377, 0.8853573954053979, 0.8867429335355791, 0.888512023658549, 0.8907281875302964, 0.8934574916613784, 0.8967674579292405, 0.9007258360696409, 0.9053992477237016, 0.9108517132144169, 0.917143073804263, 0.9243273238727361, 0.9324508692820839, 0.9415507302098529, 0.9516527089649496, 0.9627695458275592, 0.9748990888354867, 0.9880225067739532, 1.0021025785348747, 1.0170820966573562, 1.032882428462349, 1.0494022850515607, 1.0665167569740943, 1.0840766861742293, 1.1019084577973566, 1.1198143138626109, 1.1375733157365742, 1.154943116989667, 1.1716627579203214, 1.1874567670023608, 1.2020409694891332, 1.2151305917633544, 1.2264515792993254, 1.2357566715702522, 1.2428491046088332, 1.2476201120147827, 1.2501169789712892, 1.2507193052577101], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.24525414657989442}

10.582541

1

4.729695

[ [ 0.8818498076769907, 0.8818498120309215, 0.8818499739531096, 0.8818511928531085, 0.8818559924406587, 0.8818694246313536, 0.8818999175139396, 0.8819600279650242, 0.8820670740248643, 0.8822436301142612, 0.8825178733371437, 0.8829237728203697, 0.8835011169009965, 0.8842953753001377, 0.8853573954053979, 0.8867429335355791, 0.888512023658549, 0.8907281875302964, 0.8934574916613784, 0.8967674579292405, 0.9007258360696409, 0.9053992477237016, 0.9108517132144169, 0.917143073804263, 0.9243273238727361, 0.9324508692820839, 0.9415507302098529, 0.9516527089649496, 0.9627695458275592, 0.9748990888354867, 0.9880225067739532, 1.0021025785348747, 1.0170820966573562, 1.032882428462349, 1.0494022850515607, 1.0665167569740943, 1.0840766861742293, 1.1019084577973566, 1.1198143138626109, 1.1375733157365742, 1.154943116989667, 1.1716627579203214, 1.1874567670023608, 1.2020409694891332, 1.2151305917633544, 1.2264515792993254, 1.2357566715702522, 1.2428491046088332, 1.2476201120147827, 1.2501169789712892, 1.2507193052577101 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.07181456120711259, -0.37077569219524165, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.245254

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

Dc7CqqexYmZLrR2VBPFiB7v

null

false

null

false

DHdDvcafQnLkTKecS7cq9C4

DNYM7CzjBgCcYez5t8DM2rH

{"qi": 0.04067080284222812, "vacuum_well": -0.07063477788761953, "aspect_ratio": 8.023998532611037, "max_elongation": 5.148323144652052, "average_triangularity": -0.27612819884431183, "axis_magnetic_mirror_ratio": 0.48027945748413786, "edge_magnetic_mirror_ratio": 0.822462780953318, "aspect_ratio_over_edge_rotational_transform": 9.51531140350493, "flux_compression_in_regions_of_bad_curvature": 1.278121260039728, "axis_rotational_transform_over_n_field_periods": 0.23130470875284334, "edge_rotational_transform_over_n_field_periods": 0.21081807500423544, "minimum_normalized_magnetic_gradient_scale_length": 2.83169913745085}

8.023999

9.515311

-0.346039

0.480279

0.231305

0.822463

0.210818

1.278121

5.148323

2.831699

0.040671

-0.070635

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.221441654930043,-0.0356157265544008,-0.01583953648216109,-0.00032126605458188736],[-0.0015549467607353972,0.009213362490194325,0.04074429652408951,0.010054690128497686,0.11082998946696981,-0.01820973313917734,-0.0017075485725726695,0.0038096090445518963,0.0009927454228856871],[0.00033424087632494585,-0.0035864535647665494,-0.01134828516765892,0.0035991851252671686,0.0025169854984309244,-0.006704570787144193,0.0010040910560093364,-0.0008683681301872928,-0.0004031438945971842],[0.00039442029154677385,0.0009755372250444826,0.002293174583911378,-0.00044151240474586857,0.002082361645417922,-0.0033781623001966684,0.001506699744495072,-0.0004933046400415103,-0.00010832125574980229],[-0.00016043843201987045,0.00008209000505567663,-0.0006945911797569612,0.0009863694959800933,-0.0008241840467107615,0.00016646645500340484,-4.008562236415634e-6,-0.00023136058994177144,0.000053025884094606715]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07133943170870541,0.03765606029634601,0.011249630702581585,0.001905318699940121],[0.0008233413128311614,0.015787248745143638,0.04921926122972672,0.02143029738155858,-0.15150422115811407,0.002235197096277824,-0.0002720970410148432,-0.0015247759215399866,-0.001738078831052236],[0.000659945062246749,-0.007173277444485528,-0.009581870009242321,0.003236046526369984,-0.003779786965240436,-0.005237522351688407,0.0036272310956502705,0.00041892433774351305,0.0008674183936561148],[-0.0004723648014821212,0.0009079793850252286,-0.0015116459592474313,-0.003246294732052112,-0.002280824887586693,0.0030997624194883076,-0.0029086349735226802,0.0006228865265502857,0.0000965609323025403],[-0.00007352033170582046,-0.0003578975035133268,-0.0003096967323225361,0.000043556711873827235,0.00023906177433167438,-0.00046885519276626916,-0.00003877473545833645,-1.5914036914714243e-6,0.00007954272464459058]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.221441654930043, -0.0356157265544008, -0.01583953648216109, -0.00032126605458188736 ], [ -0.0015549467607353972, 0.009213362490194325, 0.04074429652408951, 0.010054690128497686, 0.11082998946696981, -0.01820973313917734, -0.0017075485725726695, 0.0038096090445518963, 0.0009927454228856871 ], [ 0.00033424087632494585, -0.0035864535647665494, -0.01134828516765892, 0.0035991851252671686, 0.0025169854984309244, -0.006704570787144193, 0.0010040910560093364, -0.0008683681301872928, -0.0004031438945971842 ], [ 0.00039442029154677385, 0.0009755372250444826, 0.002293174583911378, -0.00044151240474586857, 0.002082361645417922, -0.0033781623001966684, 0.001506699744495072, -0.0004933046400415103, -0.00010832125574980229 ], [ -0.00016043843201987045, 0.00008209000505567663, -0.0006945911797569612, 0.0009863694959800933, -0.0008241840467107615, 0.00016646645500340484, -0.000004008562236415634, -0.00023136058994177144, 0.000053025884094606715 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07133943170870541, 0.03765606029634601, 0.011249630702581585, 0.001905318699940121 ], [ 0.0008233413128311614, 0.015787248745143638, 0.04921926122972672, 0.02143029738155858, -0.15150422115811407, 0.002235197096277824, -0.0002720970410148432, -0.0015247759215399866, -0.001738078831052236 ], [ 0.000659945062246749, -0.007173277444485528, -0.009581870009242321, 0.003236046526369984, -0.003779786965240436, -0.005237522351688407, 0.0036272310956502705, 0.00041892433774351305, 0.0008674183936561148 ], [ -0.0004723648014821212, 0.0009079793850252286, -0.0015116459592474313, -0.003246294732052112, -0.002280824887586693, 0.0030997624194883076, -0.0029086349735226802, 0.0006228865265502857, 0.0000965609323025403 ], [ -0.00007352033170582046, -0.0003578975035133268, -0.0003096967323225361, 0.000043556711873827235, 0.00023906177433167438, -0.00046885519276626916, -0.00003877473545833645, -0.0000015914036914714243, 0.00007954272464459058 ] ]

Dg5ntLjtZaBzEceKFjA8TdB

{"aspect_ratio": 6.936831001894618, "major_radius": 1.0, "max_elongation": 4.669229705524652, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.024245221493495926, 0.024825033503312905, 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": [[0.8084768514562973, 0.8084965816016427, 0.8086816666303689, 0.8092600756324657, 0.8104657712938044, 0.8125110074172786, 0.8155728097092639, 0.8197863515189903, 0.825242470604402, 0.8319878962516356, 0.8400273173349633, 0.8493267098492936, 0.8598175096082542, 0.8714013218371583, 0.8839549313342667, 0.8973354283435311, 0.911385303715223, 0.9259373966588883, 0.9408196020735834, 0.9558592637766321, 0.9708871960767166, 0.9857412898272079, 1.0002696708993977, 1.0143333893286903, 1.0278086265019142, 1.0405884158902041, 1.0525838801570055, 1.0637249941145255, 1.0739608890662733, 1.0832597196389187, 1.0916081193380947, 1.0990102758118716, 1.1054866612142833, 1.1110724571631856, 1.1158157176088541, 1.1197753164931967, 1.1230187304003092, 1.1256197094884919, 1.1276558928581408, 1.1292064271503555, 1.1303496495829175, 1.1311608988012478, 1.1317105188297498, 1.1320621230166465, 1.1322711861134966, 1.1323840334221356, 1.1324372961133116, 1.1324579010795326, 1.1324636614525794, 1.1324645288838617, 1.1324645570289387], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0105561109634482}

6.936831

1

4.66923

[ [ 0.8084768514562973, 0.8084965816016427, 0.8086816666303689, 0.8092600756324657, 0.8104657712938044, 0.8125110074172786, 0.8155728097092639, 0.8197863515189903, 0.825242470604402, 0.8319878962516356, 0.8400273173349633, 0.8493267098492936, 0.8598175096082542, 0.8714013218371583, 0.8839549313342667, 0.8973354283435311, 0.911385303715223, 0.9259373966588883, 0.9408196020735834, 0.9558592637766321, 0.9708871960767166, 0.9857412898272079, 1.0002696708993977, 1.0143333893286903, 1.0278086265019142, 1.0405884158902041, 1.0525838801570055, 1.0637249941145255, 1.0739608890662733, 1.0832597196389187, 1.0916081193380947, 1.0990102758118716, 1.1054866612142833, 1.1110724571631856, 1.1158157176088541, 1.1197753164931967, 1.1230187304003092, 1.1256197094884919, 1.1276558928581408, 1.1292064271503555, 1.1303496495829175, 1.1311608988012478, 1.1317105188297498, 1.1320621230166465, 1.1322711861134966, 1.1323840334221356, 1.1324372961133116, 1.1324579010795326, 1.1324636614525794, 1.1324645288838617, 1.1324645570289387 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.024245221493495926, 0.024825033503312905, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.010556

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

DYfVt2c3vTY34mu84qJxnBf

null

false

null

false

D8k4fA8W8wiDruD3jiwZPdo

DFhvfT6bXdFAycuvZL9FVj8

{"qi": 0.010436913358522978, "vacuum_well": -0.12549143481040917, "aspect_ratio": 10.047579571781467, "max_elongation": 5.1043445079372365, "average_triangularity": -0.5030789317401058, "axis_magnetic_mirror_ratio": 0.14728501935438917, "edge_magnetic_mirror_ratio": 0.20583310265713636, "aspect_ratio_over_edge_rotational_transform": 48.90584809171313, "flux_compression_in_regions_of_bad_curvature": 1.2300459935990138, "axis_rotational_transform_over_n_field_periods": 0.14750713997841294, "edge_rotational_transform_over_n_field_periods": 0.10272370241836153, "minimum_normalized_magnetic_gradient_scale_length": 4.756840420578797}

10.04758

48.905848

-0.690578

0.147285

0.147507

0.205833

0.102724

1.230046

5.104345

4.75684

0.010437

-0.125491

{"r_cos":[[0.0,0.0,0.0,0.0,0.9930226369096146,-0.1229050457096083,-0.04685369063732869,0.013285140593418888,-0.001965314594819317],[-0.001157859618319918,-0.016143941803048286,0.014459893976215138,-0.0032782375188323207,0.10368301698426881,-0.015557722980439052,0.023502020336219225,-0.00510070943862309,-0.0017313070626493814],[0.0014655736682640066,-0.001056470916637796,-0.015234330173619831,-0.0020169884004225627,-0.0059422358166068496,0.003276925967942636,0.0005621915447142451,0.00012373744536293838,0.00003828894443153681],[0.0002602866680973062,0.002977062479812258,0.000955913601339967,-0.0036296469932384167,0.006330596465521647,0.002248302147478122,0.0015136916450231375,-0.00017482576443153802,0.00012141079192716545],[-0.0002928126785688662,-0.0002710681978034054,0.000100766541691197,-0.0013038526791939575,-0.0013935468239827022,0.0007486173965766708,0.00032553235325154733,-0.00021322692809291023,0.00009212185066151625]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.15940737945198027,0.024404899736632568,-0.0072057564379230865,0.0013500963466077584],[-0.00032762955998228647,-0.0044446915116661675,0.026080243142666548,-0.08908257269303374,-0.09377168892165516,0.08319762593278895,-0.012310551605930519,-0.0011576084982277645,0.0010208933926847165],[0.0026400379755436108,-0.0005092150713389,-0.011404556477198936,0.0048538553492231875,-0.0165071924525237,-0.010279910092104662,0.0005816233892266169,0.0013954893483966127,-0.0005435215680275524],[-0.0005005756698748303,0.0012389698315476859,-0.005148777677183133,-0.0009267248796852104,0.0008706452283182139,0.0028707888896387507,-0.0026969326135586544,0.0005334352997426015,0.00018933865506422318],[-0.00008843688272332599,0.0003246462464200359,0.0006144995516371231,0.00022493938304677795,0.0003097047064002997,-0.000624400004293246,-0.0006009586148831091,0.00011406235419816532,-0.000136336367962451]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9930226369096146, -0.1229050457096083, -0.04685369063732869, 0.013285140593418888, -0.001965314594819317 ], [ -0.001157859618319918, -0.016143941803048286, 0.014459893976215138, -0.0032782375188323207, 0.10368301698426881, -0.015557722980439052, 0.023502020336219225, -0.00510070943862309, -0.0017313070626493814 ], [ 0.0014655736682640066, -0.001056470916637796, -0.015234330173619831, -0.0020169884004225627, -0.0059422358166068496, 0.003276925967942636, 0.0005621915447142451, 0.00012373744536293838, 0.00003828894443153681 ], [ 0.0002602866680973062, 0.002977062479812258, 0.000955913601339967, -0.0036296469932384167, 0.006330596465521647, 0.002248302147478122, 0.0015136916450231375, -0.00017482576443153802, 0.00012141079192716545 ], [ -0.0002928126785688662, -0.0002710681978034054, 0.000100766541691197, -0.0013038526791939575, -0.0013935468239827022, 0.0007486173965766708, 0.00032553235325154733, -0.00021322692809291023, 0.00009212185066151625 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.15940737945198027, 0.024404899736632568, -0.0072057564379230865, 0.0013500963466077584 ], [ -0.00032762955998228647, -0.0044446915116661675, 0.026080243142666548, -0.08908257269303374, -0.09377168892165516, 0.08319762593278895, -0.012310551605930519, -0.0011576084982277645, 0.0010208933926847165 ], [ 0.0026400379755436108, -0.0005092150713389, -0.011404556477198936, 0.0048538553492231875, -0.0165071924525237, -0.010279910092104662, 0.0005816233892266169, 0.0013954893483966127, -0.0005435215680275524 ], [ -0.0005005756698748303, 0.0012389698315476859, -0.005148777677183133, -0.0009267248796852104, 0.0008706452283182139, 0.0028707888896387507, -0.0026969326135586544, 0.0005334352997426015, 0.00018933865506422318 ], [ -0.00008843688272332599, 0.0003246462464200359, 0.0006144995516371231, 0.00022493938304677795, 0.0003097047064002997, -0.000624400004293246, -0.0006009586148831091, 0.00011406235419816532, -0.000136336367962451 ] ]

D67fwHhtFcPBxfeGaFjg8b3

{"aspect_ratio": 11.43423651750031, "major_radius": 1.0, "max_elongation": 4.736708090787619, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.12551418797465047, -0.13412687391647568, 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": [[0.8859602828482452, 0.8859602837901259, 0.8859603311332757, 0.8859607605345015, 0.885962691778043, 0.8859686784314368, 0.8859834408600316, 0.8860146302545436, 0.8860735815306786, 0.8861760197218486, 0.8863426895765842, 0.8865998822130774, 0.8869798362350514, 0.8875209938806166, 0.8882680956864846, 0.8892720998896905, 0.8905899154194895, 0.8922839399006695, 0.8944213966348046, 0.8970734670815955, 0.9003142179595245, 0.9042193247541278, 0.908864596194787, 0.9143243071711585, 0.9206693506464315, 0.9279652224307855, 0.9362698562572493, 0.9456313305173416, 0.9560854723441341, 0.9676533895746499, 0.9803389666080787, 0.9941263664649926, 1.0089775886613495, 1.0248301411286358, 1.0415948947319251, 1.0591542015079556, 1.0773603733410633, 1.0960346375404462, 1.114966711350338, 1.1339151713746087, 1.152608840274799, 1.1707494785435477, 1.188016165038063, 1.2040718967968216, 1.218573175818803, 1.2311837594400592, 1.2415945174464655, 1.2495529442052455, 1.2549098100646605, 1.2577028665952827, 1.2583674078158764], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.247768140553716}

11.434237

1

4.736708

[ [ 0.8859602828482452, 0.8859602837901259, 0.8859603311332757, 0.8859607605345015, 0.885962691778043, 0.8859686784314368, 0.8859834408600316, 0.8860146302545436, 0.8860735815306786, 0.8861760197218486, 0.8863426895765842, 0.8865998822130774, 0.8869798362350514, 0.8875209938806166, 0.8882680956864846, 0.8892720998896905, 0.8905899154194895, 0.8922839399006695, 0.8944213966348046, 0.8970734670815955, 0.9003142179595245, 0.9042193247541278, 0.908864596194787, 0.9143243071711585, 0.9206693506464315, 0.9279652224307855, 0.9362698562572493, 0.9456313305173416, 0.9560854723441341, 0.9676533895746499, 0.9803389666080787, 0.9941263664649926, 1.0089775886613495, 1.0248301411286358, 1.0415948947319251, 1.0591542015079556, 1.0773603733410633, 1.0960346375404462, 1.114966711350338, 1.1339151713746087, 1.152608840274799, 1.1707494785435477, 1.188016165038063, 1.2040718967968216, 1.218573175818803, 1.2311837594400592, 1.2415945174464655, 1.2495529442052455, 1.2549098100646605, 1.2577028665952827, 1.2583674078158764 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.12551418797465047, -0.13412687391647568, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.247768

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

Dn9rDkY7uhgwvjL7Xwrp65G

null

false

null

false

DKgpDswXAfbDDdMMqMohtoW

DHvfEiqoisG5Go4XE7GC4V4

{"qi": 0.0008222690002228048, "vacuum_well": -0.10938268114223915, "aspect_ratio": 8.689153794440102, "max_elongation": 6.492181923917705, "average_triangularity": -0.4568721336247974, "axis_magnetic_mirror_ratio": 0.3622111989686514, "edge_magnetic_mirror_ratio": 0.3886408637267179, "aspect_ratio_over_edge_rotational_transform": 12.024166417943523, "flux_compression_in_regions_of_bad_curvature": 1.6528150418663152, "axis_rotational_transform_over_n_field_periods": 0.26229490506817493, "edge_rotational_transform_over_n_field_periods": 0.24088028204803122, "minimum_normalized_magnetic_gradient_scale_length": 6.08747472500421}

8.689154

12.024166

-0.730806

0.362211

0.262295

0.388641

0.24088

1.652815

6.492182

6.087475

0.000822

-0.109383

{"r_cos":[[0.0,0.0,0.0,0.0,0.9980345607270231,0.06425753092423014,-0.030069740926218457,-0.009069451003907374,-0.0009797438542479314],[0.0009158059016143758,0.00531784218446129,0.0030565914924818435,-0.08248513911022178,0.12260278254393338,-0.003956097495046232,-0.009366060255022103,-0.0016819052998259798,0.0005224945397631108],[0.0010147331972075037,0.0003837981185356317,-0.0030213838501716717,-0.007180166472871161,-0.026001695895756467,0.014046167632407368,0.0037690635627442085,0.00045212938494340127,-0.0007085756835047676],[-0.0011893502997308233,0.0009634187638469526,-0.0008371661384348188,-0.002371427323104126,-0.0014776779323794603,0.00259887575428974,-0.0006923738121428888,-0.000035122922736910704,0.00025939102997823803],[-0.000045339226407448705,-0.00012741449630250328,0.00036651211206143537,0.00007433350701251813,-0.00015934051860899343,-0.00031722371070961117,0.00003481509311046565,0.000020802319248571577,0.00006595234080154062]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.17946031410048643,-0.014892517856183975,0.005113360888483356,0.0015018220791227794],[-0.0006020771842982257,-0.0028996302954580255,-0.012941069307141102,-0.073589852715542,-0.15084646703282617,0.005459990169233868,0.008220136064203241,0.0010478967027350893,0.0009689379116512894],[-0.0012333962285271966,-0.002890003958317765,-0.0018659210801964766,0.005228542721126914,-0.00146440312299903,0.0037031338579816917,-0.0028693438499570465,-0.0017647726412112505,-0.00013150369378861157],[-0.000083892415232815,0.000929677919117768,0.0014007304621700331,0.00008647301031699303,-0.004347060352707711,-0.0032686817867291786,0.0010229894810243757,0.0006013625306997441,0.000011678320061675147],[0.00024060041191522355,-0.0003080728530007694,-0.0003829230379462327,-0.0008625548710891139,0.0011042511565153657,0.00021845705021619917,3.076856046407909e-6,-0.0004114843789188723,-0.00003908312135976336]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9980345607270231, 0.06425753092423014, -0.030069740926218457, -0.009069451003907374, -0.0009797438542479314 ], [ 0.0009158059016143758, 0.00531784218446129, 0.0030565914924818435, -0.08248513911022178, 0.12260278254393338, -0.003956097495046232, -0.009366060255022103, -0.0016819052998259798, 0.0005224945397631108 ], [ 0.0010147331972075037, 0.0003837981185356317, -0.0030213838501716717, -0.007180166472871161, -0.026001695895756467, 0.014046167632407368, 0.0037690635627442085, 0.00045212938494340127, -0.0007085756835047676 ], [ -0.0011893502997308233, 0.0009634187638469526, -0.0008371661384348188, -0.002371427323104126, -0.0014776779323794603, 0.00259887575428974, -0.0006923738121428888, -0.000035122922736910704, 0.00025939102997823803 ], [ -0.000045339226407448705, -0.00012741449630250328, 0.00036651211206143537, 0.00007433350701251813, -0.00015934051860899343, -0.00031722371070961117, 0.00003481509311046565, 0.000020802319248571577, 0.00006595234080154062 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.17946031410048643, -0.014892517856183975, 0.005113360888483356, 0.0015018220791227794 ], [ -0.0006020771842982257, -0.0028996302954580255, -0.012941069307141102, -0.073589852715542, -0.15084646703282617, 0.005459990169233868, 0.008220136064203241, 0.0010478967027350893, 0.0009689379116512894 ], [ -0.0012333962285271966, -0.002890003958317765, -0.0018659210801964766, 0.005228542721126914, -0.00146440312299903, 0.0037031338579816917, -0.0028693438499570465, -0.0017647726412112505, -0.00013150369378861157 ], [ -0.000083892415232815, 0.000929677919117768, 0.0014007304621700331, 0.00008647301031699303, -0.004347060352707711, -0.0032686817867291786, 0.0010229894810243757, 0.0006013625306997441, 0.000011678320061675147 ], [ 0.00024060041191522355, -0.0003080728530007694, -0.0003829230379462327, -0.0008625548710891139, 0.0011042511565153657, 0.00021845705021619917, 0.000003076856046407909, -0.0004114843789188723, -0.00003908312135976336 ] ]

D7jKALfWmpZTKFbLsJuBbfm

{"aspect_ratio": 11.335374636899765, "major_radius": 1.0, "max_elongation": 6.672580156074135, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.061612516051383626, 0.2564587501687032, 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": [[0.644799950612438, 0.6447999825211073, 0.6448014606507682, 0.6448139286684972, 0.6448662435991875, 0.6450177685537534, 0.6453670852805616, 0.6460570483919248, 0.6472757381309625, 0.6492533482392094, 0.6522553701339449, 0.6565726515319831, 0.6625090442754474, 0.670367430434285, 0.6804349406856227, 0.6929681643517963, 0.7081791041984655, 0.726222557688702, 0.7471855154331845, 0.7710790619292842, 0.7978331476502815, 0.8272944790008583, 0.8592276471119582, 0.89331949112725, 0.929186569503841, 0.9663854966629442, 1.0044257946407629, 1.0427848125916013, 1.0809241833107055, 1.1183072174516475, 1.154416584748559, 1.1887715991157877, 1.2209444126485032, 1.2505744338102462, 1.2773803188458792, 1.3011689439251506, 1.3218408497589023, 1.3393917613024637, 1.3539099233145109, 1.3655691583563119, 1.374617747351384, 1.3813634537161765, 1.386155259397706, 1.3893626532165908, 1.391353605880813, 1.3924726773170457, 1.3930210230610212, 1.3932403845966683, 1.3933034403383966, 1.3933131106891028, 1.3933134242458047], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7662041400148182}

11.335375

1

6.67258

[ [ 0.644799950612438, 0.6447999825211073, 0.6448014606507682, 0.6448139286684972, 0.6448662435991875, 0.6450177685537534, 0.6453670852805616, 0.6460570483919248, 0.6472757381309625, 0.6492533482392094, 0.6522553701339449, 0.6565726515319831, 0.6625090442754474, 0.670367430434285, 0.6804349406856227, 0.6929681643517963, 0.7081791041984655, 0.726222557688702, 0.7471855154331845, 0.7710790619292842, 0.7978331476502815, 0.8272944790008583, 0.8592276471119582, 0.89331949112725, 0.929186569503841, 0.9663854966629442, 1.0044257946407629, 1.0427848125916013, 1.0809241833107055, 1.1183072174516475, 1.154416584748559, 1.1887715991157877, 1.2209444126485032, 1.2505744338102462, 1.2773803188458792, 1.3011689439251506, 1.3218408497589023, 1.3393917613024637, 1.3539099233145109, 1.3655691583563119, 1.374617747351384, 1.3813634537161765, 1.386155259397706, 1.3893626532165908, 1.391353605880813, 1.3924726773170457, 1.3930210230610212, 1.3932403845966683, 1.3933034403383966, 1.3933131106891028, 1.3933134242458047 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.061612516051383626, 0.2564587501687032, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.766204

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

DbqZ5J6oE3RnMB4zR9Uwfkg

null

false

null

false

DBEjus4n9vkiymQTAGDP2GE

Dnavwabd4Q7nUyL3srcweUd

{"qi": 0.0028818790045095437, "vacuum_well": -0.08998270253391707, "aspect_ratio": 9.745255655164591, "max_elongation": 5.560763069468656, "average_triangularity": -0.314422338390191, "axis_magnetic_mirror_ratio": 0.2416530798158117, "edge_magnetic_mirror_ratio": 0.2685064247241561, "aspect_ratio_over_edge_rotational_transform": 17.579153797564263, "flux_compression_in_regions_of_bad_curvature": 1.3533152057893953, "axis_rotational_transform_over_n_field_periods": 0.14633228834366804, "edge_rotational_transform_over_n_field_periods": 0.18478810693217929, "minimum_normalized_magnetic_gradient_scale_length": 3.2088038546153705}

9.745256

17.579154

-0.53155

0.241653

0.146332

0.268506

0.184788

1.353315

5.560763

3.208804

0.002882

-0.089983

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0943385767791528,-0.003986058793510215,-0.009521007722409405,-0.0007126813675953718],[-0.00019815752660142834,-0.005416312853208672,-0.014719827227104063,-0.05130898994398336,0.08442526509124025,0.016113818211495448,0.007416066124194771,0.0013188068644355232,-0.0002025160830368329],[0.00018030007293529245,0.0004223480353213411,-0.01219375381996019,0.011686648792461209,-0.0016562067312195679,0.0010312050005575717,-0.001007476097905977,0.0013529902166078843,-0.000031259141661590654],[-0.00009090093948581591,0.0007571550597367657,0.0027886064185328693,-0.012217523667406884,0.009897764161260562,0.00006886672555251033,-0.00044413141288147636,0.00020079140640038516,0.00012990199101109808],[-0.00019314738750274697,0.00037100185724529367,0.0001522587692122929,-0.0020286155644057887,0.0017980126517002743,0.0004334559982904652,-0.0004680279739859906,-0.00006009740561852635,-0.000013586747654083286]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.10870644805580264,-0.02026773652830747,0.001088632537602825,0.0003467375097127266],[0.00041468010020534273,0.00112898091313013,-0.0007240548968102381,-0.05376331928962105,-0.1641789897097858,0.009292596417116397,0.003376647952248772,-0.0006484716737141,-0.00016955408102764627],[0.0009232439447092955,0.001964094733485017,-0.013871597337935738,0.004323100156820601,-0.018609847003808185,-0.0009285161268864381,-0.0008721723714576303,-0.0014283427456886586,0.00009813608899816222],[-0.0002528385265375764,-0.00018982248171190314,0.005970743323557507,-0.005416761185494742,-0.012099754194019872,0.0031638736239569913,0.0002912578208666616,-0.0006521294505414015,-0.00015534832784463493],[-0.00017116812923594071,-0.00018364494072234657,0.0019734294842161906,-0.0013553855654246058,-0.0025523175697398045,0.0011951665343185778,0.0005555993878694032,-0.00009662153377936619,-0.000058919985315484296]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.0943385767791528, -0.003986058793510215, -0.009521007722409405, -0.0007126813675953718 ], [ -0.00019815752660142834, -0.005416312853208672, -0.014719827227104063, -0.05130898994398336, 0.08442526509124025, 0.016113818211495448, 0.007416066124194771, 0.0013188068644355232, -0.0002025160830368329 ], [ 0.00018030007293529245, 0.0004223480353213411, -0.01219375381996019, 0.011686648792461209, -0.0016562067312195679, 0.0010312050005575717, -0.001007476097905977, 0.0013529902166078843, -0.000031259141661590654 ], [ -0.00009090093948581591, 0.0007571550597367657, 0.0027886064185328693, -0.012217523667406884, 0.009897764161260562, 0.00006886672555251033, -0.00044413141288147636, 0.00020079140640038516, 0.00012990199101109808 ], [ -0.00019314738750274697, 0.00037100185724529367, 0.0001522587692122929, -0.0020286155644057887, 0.0017980126517002743, 0.0004334559982904652, -0.0004680279739859906, -0.00006009740561852635, -0.000013586747654083286 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.10870644805580264, -0.02026773652830747, 0.001088632537602825, 0.0003467375097127266 ], [ 0.00041468010020534273, 0.00112898091313013, -0.0007240548968102381, -0.05376331928962105, -0.1641789897097858, 0.009292596417116397, 0.003376647952248772, -0.0006484716737141, -0.00016955408102764627 ], [ 0.0009232439447092955, 0.001964094733485017, -0.013871597337935738, 0.004323100156820601, -0.018609847003808185, -0.0009285161268864381, -0.0008721723714576303, -0.0014283427456886586, 0.00009813608899816222 ], [ -0.0002528385265375764, -0.00018982248171190314, 0.005970743323557507, -0.005416761185494742, -0.012099754194019872, 0.0031638736239569913, 0.0002912578208666616, -0.0006521294505414015, -0.00015534832784463493 ], [ -0.00017116812923594071, -0.00018364494072234657, 0.0019734294842161906, -0.0013553855654246058, -0.0025523175697398045, 0.0011951665343185778, 0.0005555993878694032, -0.00009662153377936619, -0.000058919985315484296 ] ]

D8FtVFhQatM9CqfWmMqedMb

{"aspect_ratio": 10.345960428246368, "major_radius": 1.0, "max_elongation": 5.395565884611319, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.018724630541780994, 0.171362925635761, 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": [[0.8308042250733119, 0.8308042343717403, 0.830804552376483, 0.8308068252377353, 0.8308154517076569, 0.830838923415968, 0.8308910116691779, 0.8309917659019478, 0.8311683041776865, 0.8314553841749067, 0.8318957481695421, 0.8325402391003716, 0.8334476875338385, 0.8346845715581732, 0.8363244535237099, 0.8384471992233072, 0.8411379866512652, 0.8444861129461001, 0.8485836095539064, 0.8535236770790537, 0.8593989527478207, 0.8662996249267731, 0.8743114107400859, 0.8835134145494118, 0.8939758869308534, 0.9057579058462587, 0.9189050040085001, 0.9334467690415196, 0.9493944460093541, 0.9667385753276847, 0.9854467030976255, 1.005461205673108, 1.0266972760017847, 1.049041126251206, 1.0723484698417831, 1.0964433568098044, 1.121117450211533, 1.1461298492170622, 1.1712075883798554, 1.1960469750112477, 1.2203159719631944, 1.243657898600447, 1.2656968207529178, 1.2860451536504816, 1.3043142542565032, 1.3201292232200732, 1.3331499846986905, 1.3431025234322425, 1.3498286930663805, 1.3533776778290632, 1.354247844460852], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.36464985022334967}

10.34596

1

5.395566

[ [ 0.8308042250733119, 0.8308042343717403, 0.830804552376483, 0.8308068252377353, 0.8308154517076569, 0.830838923415968, 0.8308910116691779, 0.8309917659019478, 0.8311683041776865, 0.8314553841749067, 0.8318957481695421, 0.8325402391003716, 0.8334476875338385, 0.8346845715581732, 0.8363244535237099, 0.8384471992233072, 0.8411379866512652, 0.8444861129461001, 0.8485836095539064, 0.8535236770790537, 0.8593989527478207, 0.8662996249267731, 0.8743114107400859, 0.8835134145494118, 0.8939758869308534, 0.9057579058462587, 0.9189050040085001, 0.9334467690415196, 0.9493944460093541, 0.9667385753276847, 0.9854467030976255, 1.005461205673108, 1.0266972760017847, 1.049041126251206, 1.0723484698417831, 1.0964433568098044, 1.121117450211533, 1.1461298492170622, 1.1712075883798554, 1.1960469750112477, 1.2203159719631944, 1.243657898600447, 1.2656968207529178, 1.2860451536504816, 1.3043142542565032, 1.3201292232200732, 1.3331499846986905, 1.3431025234322425, 1.3498286930663805, 1.3533776778290632, 1.354247844460852 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.018724630541780994, 0.171362925635761, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.36465

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

DixKfm5aNnEqAZryXsTXTTB

null

false

null

false

DVDS8aPSBRWNmKsHnmYKtC4

D4GcBxJwzMWmT3JcPtRUw7P

{"qi": 0.0014295045627144769, "vacuum_well": -0.10181114820817835, "aspect_ratio": 9.786883608650818, "max_elongation": 5.568959119630111, "average_triangularity": -0.5261236022774995, "axis_magnetic_mirror_ratio": 0.21468856927004354, "edge_magnetic_mirror_ratio": 0.2464052576089712, "aspect_ratio_over_edge_rotational_transform": 22.89831221595981, "flux_compression_in_regions_of_bad_curvature": 1.2487281151170073, "axis_rotational_transform_over_n_field_periods": 0.23700438539298951, "edge_rotational_transform_over_n_field_periods": 0.21370316546364265, "minimum_normalized_magnetic_gradient_scale_length": 1.805512092096667}

9.786884

22.898312

-0.856102

0.214689

0.237004

0.246405

0.213703

1.248728

5.568959

1.805512

0.00143

-0.101811

{"r_cos":[[0.0,0.0,0.0,0.0,0.9931189328631831,-0.06738346372661777,-0.059814239288788075,0.011940999127259915,0.0025135754503018168],[-0.00458781786930202,0.0011383335623702164,0.037925514208291,-0.03518545756728975,0.08178670769807742,-0.04440243027738942,-0.004861328929440745,0.009329253856108553,-0.0014818765278896543],[-0.002344496036165975,-0.0026456078952388873,-0.01207934813506521,-0.0019940535646998927,-0.015210666383341257,-0.0007835612197187375,-0.001982747264755629,0.003247659187728513,-0.000566942295447096],[0.001198868636026778,0.002931211230024118,0.005211092847914529,-0.0003485817714122814,0.0017775470720532897,-0.002870192261423675,0.002177404998546517,0.0015672741539165041,-0.0010223437870101012],[-0.00036149752954091493,-0.0004418137700785161,-0.0008717738240957048,0.00023840810989640606,-0.00029994648478329135,0.00036746830945055386,0.00021852531405651892,-0.00014591122814216242,-0.00021789385023354593]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.17946111526622757,0.050263499938416466,-0.001671459874920253,-0.0015355360104547281],[-0.00148682835608088,-0.0004904235678168759,0.021186872376404896,-0.10171874786237978,-0.14508226883267586,0.06655261092236966,-0.0015857585787425257,-0.0016684767901209304,0.00005732982653119435],[-0.0009273533380407165,0.0010679168559570168,-0.0009511866047790206,0.010510362574865722,-0.0037429671625216756,0.016489560854678384,-0.002301238206788206,0.00018891197783120288,-0.0005393655277464861],[0.0006411326369687776,0.001020143245376972,-0.001027079369627832,-0.008706407853393255,-0.0019182031505953533,0.013584547302544256,-0.005785327048600195,-0.00040702123399096303,-1.949956002780795e-6],[0.0000706404055009558,-0.00038005639696745997,-0.00039705955302594834,-0.0006399024624046102,0.001364801958642055,0.0011202043345693428,-0.001605723922243453,0.0005876850777707092,-0.000069684294543958]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9931189328631831, -0.06738346372661777, -0.059814239288788075, 0.011940999127259915, 0.0025135754503018168 ], [ -0.00458781786930202, 0.0011383335623702164, 0.037925514208291, -0.03518545756728975, 0.08178670769807742, -0.04440243027738942, -0.004861328929440745, 0.009329253856108553, -0.0014818765278896543 ], [ -0.002344496036165975, -0.0026456078952388873, -0.01207934813506521, -0.0019940535646998927, -0.015210666383341257, -0.0007835612197187375, -0.001982747264755629, 0.003247659187728513, -0.000566942295447096 ], [ 0.001198868636026778, 0.002931211230024118, 0.005211092847914529, -0.0003485817714122814, 0.0017775470720532897, -0.002870192261423675, 0.002177404998546517, 0.0015672741539165041, -0.0010223437870101012 ], [ -0.00036149752954091493, -0.0004418137700785161, -0.0008717738240957048, 0.00023840810989640606, -0.00029994648478329135, 0.00036746830945055386, 0.00021852531405651892, -0.00014591122814216242, -0.00021789385023354593 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.17946111526622757, 0.050263499938416466, -0.001671459874920253, -0.0015355360104547281 ], [ -0.00148682835608088, -0.0004904235678168759, 0.021186872376404896, -0.10171874786237978, -0.14508226883267586, 0.06655261092236966, -0.0015857585787425257, -0.0016684767901209304, 0.00005732982653119435 ], [ -0.0009273533380407165, 0.0010679168559570168, -0.0009511866047790206, 0.010510362574865722, -0.0037429671625216756, 0.016489560854678384, -0.002301238206788206, 0.00018891197783120288, -0.0005393655277464861 ], [ 0.0006411326369687776, 0.001020143245376972, -0.001027079369627832, -0.008706407853393255, -0.0019182031505953533, 0.013584547302544256, -0.005785327048600195, -0.00040702123399096303, -0.000001949956002780795 ], [ 0.0000706404055009558, -0.00038005639696745997, -0.00039705955302594834, -0.0006399024624046102, 0.001364801958642055, 0.0011202043345693428, -0.001605723922243453, 0.0005876850777707092, -0.000069684294543958 ] ]

DKkgDVhebZYQY8jMy7B9XP4

{"aspect_ratio": 9.956340766581306, "major_radius": 1.0, "max_elongation": 5.2554921540137505, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.020596113427076318, 0.3490044961249137, 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": [[0.7850376079138064, 0.7850377258000485, 0.785041113992993, 0.785062485597916, 0.7851357231565432, 0.7853179597803649, 0.785690698312568, 0.7863585528617794, 0.7874461311332553, 0.7890935224130913, 0.7914508082453109, 0.7946719685059226, 0.7989085137121105, 0.8043031344927924, 0.8109836209017578, 0.8190572675087092, 0.8286059448571712, 0.8396819838738575, 0.8523049871220294, 0.8664596494016353, 0.8820946401165274, 0.8991225710707906, 0.9174210459496476, 0.9368347617226327, 0.9571786076243436, 0.9782416842773962, 0.9997921439900026, 1.021582733365245, 1.0433569011921886, 1.0648553182574594, 1.0858226413450467, 1.1060143414292027, 1.125203406084758, 1.1431867186490423, 1.1597909119205638, 1.1748774924770766, 1.1883470334166801, 1.2001422389424983, 1.21024969432631, 1.2187001301817424, 1.225567051693591, 1.230963612906295, 1.2350376553696831, 1.2379648822898197, 1.239940208282404, 1.2411674180239929, 1.2418473968337094, 1.242165385551862, 1.2422780097256814, 1.242301361901759, 1.2423026014983858], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4405870140697918}

9.956341

1

5.255492

[ [ 0.7850376079138064, 0.7850377258000485, 0.785041113992993, 0.785062485597916, 0.7851357231565432, 0.7853179597803649, 0.785690698312568, 0.7863585528617794, 0.7874461311332553, 0.7890935224130913, 0.7914508082453109, 0.7946719685059226, 0.7989085137121105, 0.8043031344927924, 0.8109836209017578, 0.8190572675087092, 0.8286059448571712, 0.8396819838738575, 0.8523049871220294, 0.8664596494016353, 0.8820946401165274, 0.8991225710707906, 0.9174210459496476, 0.9368347617226327, 0.9571786076243436, 0.9782416842773962, 0.9997921439900026, 1.021582733365245, 1.0433569011921886, 1.0648553182574594, 1.0858226413450467, 1.1060143414292027, 1.125203406084758, 1.1431867186490423, 1.1597909119205638, 1.1748774924770766, 1.1883470334166801, 1.2001422389424983, 1.21024969432631, 1.2187001301817424, 1.225567051693591, 1.230963612906295, 1.2350376553696831, 1.2379648822898197, 1.239940208282404, 1.2411674180239929, 1.2418473968337094, 1.242165385551862, 1.2422780097256814, 1.242301361901759, 1.2423026014983858 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.020596113427076318, 0.3490044961249137, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.440587

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

DV95DhuMTB6KgdwCZ2bDXKR

null

false

null

false

DFfJhtTZvEdePJtWni5aFzm

D5hpniuZhoUv6YPCtairPjE

{"qi": 0.04489595588891213, "vacuum_well": -0.2105236072165045, "aspect_ratio": 7.068313157452484, "max_elongation": 8.490750943217146, "average_triangularity": -0.2999898177071729, "axis_magnetic_mirror_ratio": 0.5625210588916402, "edge_magnetic_mirror_ratio": 0.8360042900847493, "aspect_ratio_over_edge_rotational_transform": 6.622420240632829, "flux_compression_in_regions_of_bad_curvature": 2.7552567555887317, "axis_rotational_transform_over_n_field_periods": 0.2419607132176286, "edge_rotational_transform_over_n_field_periods": 0.21346616193529408, "minimum_normalized_magnetic_gradient_scale_length": 5.310555751218602}

7.068313

6.62242

-0.493394

0.562521

0.241961

0.836004

0.213466

2.755257

8.490751

5.310556

0.044896

-0.210524

{"r_cos":[[0.0,0.0,0.0,0.0,0.9881932416554211,0.21422098456079863,0.020652690039868082,0.0016534047096997614,0.0003164349147343707],[0.0007980376892481908,-0.0007679187883153885,-0.035898482850410786,-0.09215777077193985,0.16110011263509735,0.008054098802781642,-0.00402133364411613,-0.003215242154440782,-0.00014394485505537282],[-0.0005013369030985874,-0.001542510157648629,0.0001133465314146592,0.016200912711653807,-0.024456139036882544,0.0019066370707077895,0.001444785780326429,-0.000053368202923070526,0.0001171202299814371],[0.00041666263589326425,0.001475303668565373,0.003919824681985867,-0.005913885943222471,0.0026445094404161347,-0.0027523841662107384,0.0016014684860673764,-0.00024722039184798324,-0.00008574874922759481],[-0.00010981972233141852,0.00004010649513711147,-0.0007031598125200987,-0.0004015153833842348,0.0008270999845164108,0.00005230764593526594,-0.0003533493856863766,0.00011977680018876989,0.000017974938268970197]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.014963479455399418,-0.01787786321583969,-0.004785780657171918,0.00018772550143731498],[-0.0012455003449220216,-0.0021400100882470957,-0.008062525296353318,-0.09220431398828866,-0.16728740509290246,0.040420588853721684,-0.002669791915201795,0.0005062493452996928,0.0004572983482849973],[-0.000581371934732642,-0.0005648050569313236,0.009850924518860101,0.004844879321684265,-0.017481835137829815,0.0052672412721870765,0.0018900830027591678,-0.0007344552775918672,-0.00008280101620972949],[0.0005315182922818523,-0.00027322549673215334,-0.0022410043168532416,0.008622764543485956,-0.0033096923356151615,-0.0003410005552883233,-0.0002381543950897764,0.0002647382440819575,0.000010270969749354489],[-0.00016345702445441158,-0.000184870836080933,-0.00022034415688482984,-0.0009019058617896751,0.0010339163928400218,0.000056772517810101185,-0.0003974594580821296,0.0001792120852055697,-0.000060736496137478996]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9881932416554211, 0.21422098456079863, 0.020652690039868082, 0.0016534047096997614, 0.0003164349147343707 ], [ 0.0007980376892481908, -0.0007679187883153885, -0.035898482850410786, -0.09215777077193985, 0.16110011263509735, 0.008054098802781642, -0.00402133364411613, -0.003215242154440782, -0.00014394485505537282 ], [ -0.0005013369030985874, -0.001542510157648629, 0.0001133465314146592, 0.016200912711653807, -0.024456139036882544, 0.0019066370707077895, 0.001444785780326429, -0.000053368202923070526, 0.0001171202299814371 ], [ 0.00041666263589326425, 0.001475303668565373, 0.003919824681985867, -0.005913885943222471, 0.0026445094404161347, -0.0027523841662107384, 0.0016014684860673764, -0.00024722039184798324, -0.00008574874922759481 ], [ -0.00010981972233141852, 0.00004010649513711147, -0.0007031598125200987, -0.0004015153833842348, 0.0008270999845164108, 0.00005230764593526594, -0.0003533493856863766, 0.00011977680018876989, 0.000017974938268970197 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.014963479455399418, -0.01787786321583969, -0.004785780657171918, 0.00018772550143731498 ], [ -0.0012455003449220216, -0.0021400100882470957, -0.008062525296353318, -0.09220431398828866, -0.16728740509290246, 0.040420588853721684, -0.002669791915201795, 0.0005062493452996928, 0.0004572983482849973 ], [ -0.000581371934732642, -0.0005648050569313236, 0.009850924518860101, 0.004844879321684265, -0.017481835137829815, 0.0052672412721870765, 0.0018900830027591678, -0.0007344552775918672, -0.00008280101620972949 ], [ 0.0005315182922818523, -0.00027322549673215334, -0.0022410043168532416, 0.008622764543485956, -0.0033096923356151615, -0.0003410005552883233, -0.0002381543950897764, 0.0002647382440819575, 0.000010270969749354489 ], [ -0.00016345702445441158, -0.000184870836080933, -0.00022034415688482984, -0.0009019058617896751, 0.0010339163928400218, 0.000056772517810101185, -0.0003974594580821296, 0.0001792120852055697, -0.000060736496137478996 ] ]

DFaweTS2nge6mMJx65s38oD

{"aspect_ratio": 6.5571679176047635, "major_radius": 1.0, "max_elongation": 6.370796206825159, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.20646920290219292, -0.38855355567229427, 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": [[0.6137903221831194, 0.6138726209601625, 0.6145362306603186, 0.6164205107511257, 0.6200883906704595, 0.6259846077615265, 0.6344250881331094, 0.6455991325564692, 0.65957814531261, 0.6763278923545574, 0.6957225848583697, 0.717559729532655, 0.7415750486553967, 0.7674569947804482, 0.7948605309478991, 0.8234199483281468, 0.8527605662785012, 0.8825092143760143, 0.9123034378974175, 0.9417994011010334, 0.9706784889233727, 0.9986526289586458, 1.025468372973468, 1.0509097915281898, 1.0748002471176066, 1.0970031210420013, 1.117421577301029, 1.1359974534156294, 1.1527093734163543, 1.1675701824351907, 1.1806238055126554, 1.191941635465498, 1.2016185560128636, 1.209768706870742, 1.2165210972188318, 1.2220151728267075, 1.2263964401865648, 1.2298122482087495, 1.2324078243436927, 1.234322657324333, 1.2356873129684054, 1.2366207624882026, 1.2372282943129518, 1.2376000702316887, 1.2378103742689337, 1.2379175874416701, 1.2379649023524406, 1.2379817666545616, 1.2379860104591927, 1.2379865627183055, 1.237986576922179], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.3436120688344073}

6.557168

1

6.370796

[ [ 0.6137903221831194, 0.6138726209601625, 0.6145362306603186, 0.6164205107511257, 0.6200883906704595, 0.6259846077615265, 0.6344250881331094, 0.6455991325564692, 0.65957814531261, 0.6763278923545574, 0.6957225848583697, 0.717559729532655, 0.7415750486553967, 0.7674569947804482, 0.7948605309478991, 0.8234199483281468, 0.8527605662785012, 0.8825092143760143, 0.9123034378974175, 0.9417994011010334, 0.9706784889233727, 0.9986526289586458, 1.025468372973468, 1.0509097915281898, 1.0748002471176066, 1.0970031210420013, 1.117421577301029, 1.1359974534156294, 1.1527093734163543, 1.1675701824351907, 1.1806238055126554, 1.191941635465498, 1.2016185560128636, 1.209768706870742, 1.2165210972188318, 1.2220151728267075, 1.2263964401865648, 1.2298122482087495, 1.2324078243436927, 1.234322657324333, 1.2356873129684054, 1.2366207624882026, 1.2372282943129518, 1.2376000702316887, 1.2378103742689337, 1.2379175874416701, 1.2379649023524406, 1.2379817666545616, 1.2379860104591927, 1.2379865627183055, 1.237986576922179 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.20646920290219292, -0.38855355567229427, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.343612

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

DXUitaQvbzGcMFKBmWWdGKW

null

false

null

false

DV6XKj4EsznQ98RogVm8Xb4

DUG4WAQ7p3vibf5QyyLWrGZ

{"qi": 0.0011866363548410901, "vacuum_well": -0.10257686549534589, "aspect_ratio": 8.936538448965711, "max_elongation": 6.526088839740933, "average_triangularity": -0.35603755750557436, "axis_magnetic_mirror_ratio": 0.3195551160307555, "edge_magnetic_mirror_ratio": 0.3457015039811503, "aspect_ratio_over_edge_rotational_transform": 11.766656696070166, "flux_compression_in_regions_of_bad_curvature": 1.5979390625289456, "axis_rotational_transform_over_n_field_periods": 0.29056792735547843, "edge_rotational_transform_over_n_field_periods": 0.25315994394993385, "minimum_normalized_magnetic_gradient_scale_length": 6.074867875700775}

8.936538

11.766657

-0.629368

0.319555

0.290568

0.345702

0.25316

1.597939

6.526089

6.074868

0.001187

-0.102577

{"r_cos":[[0.0,0.0,0.0,0.0,0.9981477615808924,0.01773796725797081,-0.02699738692610368,-0.0015496329580576649,-0.0001533665791831904],[-0.0005126666315162338,0.00327277100608523,0.0015849845005551709,-0.07388655755011203,0.1242030860997173,-0.009272353767403284,-0.00765703700750615,0.0014940666990530776,0.0009920369408331848],[0.00040911097111053266,-0.0003906924732696752,-0.015409711573068127,-0.014885910155148384,-0.022602681382951444,0.008712548977295788,-0.0005864813657913762,-0.0005124630019790585,0.00022026235735311676],[-0.00025556488683322714,-0.0005357178043969072,-0.0010530694374476155,-0.002463665633241874,-0.00034083961985829003,0.0018488907356432073,-0.00012608708373169886,-0.00025914497615834887,-0.000043563082172546195],[-0.000051562928241811004,-0.0003261079336156873,0.00036909411201711763,0.00016818757187272385,0.00044305582445956955,-0.0004858299235670693,-0.00018529741673395945,0.0002828391216258188,-0.00003762006764851877]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.177758190591537,-0.0028057356543324634,0.004424085519172541,0.0001912827472280946],[0.0013753373477579022,0.0012969783784343792,-0.00015960983808181956,-0.08521789232025595,-0.1441602828321558,0.025740395035844008,0.0015064236207379153,-0.0008465448029392562,-0.000570000213898721],[-0.000045632955449483975,-0.0002304007548129004,0.00022288168098940194,-0.004765811431934242,0.003445864314158457,0.003144252690159905,0.0003731755359302655,-0.0009159037027188787,-0.00021341374021776403],[-0.0008651977395913075,-0.0004960624427401217,-0.001449383046914888,0.0024983353862068776,-0.0002490651758095584,-0.0031989203770814395,0.0017348864621697276,-0.0002156166073833825,0.0001221065990733303],[0.00037306892344599377,0.000032646064124016724,0.00019422194429014137,-0.0010899955867796633,0.0002661561740106477,0.0003294025865771019,-0.00032639208350197877,-0.000013791711306453939,0.000026704839058707964]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9981477615808924, 0.01773796725797081, -0.02699738692610368, -0.0015496329580576649, -0.0001533665791831904 ], [ -0.0005126666315162338, 0.00327277100608523, 0.0015849845005551709, -0.07388655755011203, 0.1242030860997173, -0.009272353767403284, -0.00765703700750615, 0.0014940666990530776, 0.0009920369408331848 ], [ 0.00040911097111053266, -0.0003906924732696752, -0.015409711573068127, -0.014885910155148384, -0.022602681382951444, 0.008712548977295788, -0.0005864813657913762, -0.0005124630019790585, 0.00022026235735311676 ], [ -0.00025556488683322714, -0.0005357178043969072, -0.0010530694374476155, -0.002463665633241874, -0.00034083961985829003, 0.0018488907356432073, -0.00012608708373169886, -0.00025914497615834887, -0.000043563082172546195 ], [ -0.000051562928241811004, -0.0003261079336156873, 0.00036909411201711763, 0.00016818757187272385, 0.00044305582445956955, -0.0004858299235670693, -0.00018529741673395945, 0.0002828391216258188, -0.00003762006764851877 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.177758190591537, -0.0028057356543324634, 0.004424085519172541, 0.0001912827472280946 ], [ 0.0013753373477579022, 0.0012969783784343792, -0.00015960983808181956, -0.08521789232025595, -0.1441602828321558, 0.025740395035844008, 0.0015064236207379153, -0.0008465448029392562, -0.000570000213898721 ], [ -0.000045632955449483975, -0.0002304007548129004, 0.00022288168098940194, -0.004765811431934242, 0.003445864314158457, 0.003144252690159905, 0.0003731755359302655, -0.0009159037027188787, -0.00021341374021776403 ], [ -0.0008651977395913075, -0.0004960624427401217, -0.001449383046914888, 0.0024983353862068776, -0.0002490651758095584, -0.0031989203770814395, 0.0017348864621697276, -0.0002156166073833825, 0.0001221065990733303 ], [ 0.00037306892344599377, 0.000032646064124016724, 0.00019422194429014137, -0.0010899955867796633, 0.0002661561740106477, 0.0003294025865771019, -0.00032639208350197877, -0.000013791711306453939, 0.000026704839058707964 ] ]

DJB2fV3xdtbx3NpegyasWpH

{"aspect_ratio": 10.17786417586818, "major_radius": 1.0, "max_elongation": 6.199361625184296, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.001165211572685433, 0.2961310735192691, 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": [[0.6741957901402513, 0.6741960227066225, 0.6742031342500595, 0.6742493722252387, 0.6744102115416716, 0.6748128775939521, 0.6756367683946605, 0.6771074890855485, 0.6794862009780195, 0.6830558589291263, 0.6881057382677057, 0.6949154630321727, 0.7037395540493158, 0.7147933255404433, 0.7282407767768262, 0.7441849535399164, 0.7626610945598141, 0.7836327319007914, 0.8069907822282836, 0.8325555485373464, 0.860081449548231, 0.8892642067188554, 0.9197501466953102, 0.9511472199210584, 0.983037293861061, 1.0149892515934904, 1.0465724130271215, 1.077369796291896, 1.1069907504267227, 1.1350825167829237, 1.1613403149292294, 1.1855155985603048, 1.2074221871641169, 1.2269400490862963, 1.2440165901254134, 1.2586653877593295, 1.2709624032492202, 1.2810398007268016, 1.2890776022568242, 1.2952935088244641, 1.2999313169210065, 1.3032484561283653, 1.305503261449472, 1.3069426708415302, 1.3077910979513456, 1.3082412649355577, 1.308447779781653, 1.3085241903824762, 1.308544116327245, 1.3085467962677302, 1.308546867187185], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8069124499540711}

10.177864

1

6.199362

[ [ 0.6741957901402513, 0.6741960227066225, 0.6742031342500595, 0.6742493722252387, 0.6744102115416716, 0.6748128775939521, 0.6756367683946605, 0.6771074890855485, 0.6794862009780195, 0.6830558589291263, 0.6881057382677057, 0.6949154630321727, 0.7037395540493158, 0.7147933255404433, 0.7282407767768262, 0.7441849535399164, 0.7626610945598141, 0.7836327319007914, 0.8069907822282836, 0.8325555485373464, 0.860081449548231, 0.8892642067188554, 0.9197501466953102, 0.9511472199210584, 0.983037293861061, 1.0149892515934904, 1.0465724130271215, 1.077369796291896, 1.1069907504267227, 1.1350825167829237, 1.1613403149292294, 1.1855155985603048, 1.2074221871641169, 1.2269400490862963, 1.2440165901254134, 1.2586653877593295, 1.2709624032492202, 1.2810398007268016, 1.2890776022568242, 1.2952935088244641, 1.2999313169210065, 1.3032484561283653, 1.305503261449472, 1.3069426708415302, 1.3077910979513456, 1.3082412649355577, 1.308447779781653, 1.3085241903824762, 1.308544116327245, 1.3085467962677302, 1.308546867187185 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.001165211572685433, 0.2961310735192691, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.806912

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

D96h7pWzacyfTNPQxEQufjq

null

false

null

false

DBU4YGdwNpWU8WBDybh6Qak

DJgipmYjuvGZzFRNXNjgS2S

{"qi": 0.014563223724758158, "vacuum_well": -0.18407756831326003, "aspect_ratio": 9.726099739823077, "max_elongation": 6.573261320873406, "average_triangularity": -0.09461276826135168, "axis_magnetic_mirror_ratio": 0.2726628495674196, "edge_magnetic_mirror_ratio": 0.46447132434605704, "aspect_ratio_over_edge_rotational_transform": 9.681092404453, "flux_compression_in_regions_of_bad_curvature": 1.388363996799, "axis_rotational_transform_over_n_field_periods": 0.18941433605758298, "edge_rotational_transform_over_n_field_periods": 0.3348829978233095, "minimum_normalized_magnetic_gradient_scale_length": 5.315034686571242}

9.7261

9.681092

-0.243168

0.272663

0.189414

0.464471

0.334883

1.388364

6.573261

5.315035

0.014563

-0.184078

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.03056187142729119,-0.03834602970333291,-0.0006230008505960441,-0.0002661444195203441],[-0.0034334953077799655,-0.008902591392288498,0.05710668618240734,-0.011948161396760228,0.09824115354296897,-0.05334811211239598,-0.007731660626236165,-0.0029529146607890034,0.001107116233511247],[0.0012969744565103495,0.0018584820986856999,-0.0021874543421343583,-0.014961897681600915,0.0041781492435568855,-0.017022648676167047,0.004800356401088319,-0.0013168708366297786,0.00024058199053936464],[0.0006122930869860645,-0.0022561500423258487,-0.00024930591806824,0.0007989995627682341,0.00023785191748762808,-0.00016886234612532576,-0.0002288737029970808,-0.0009953503131904077,0.00003683194900017421],[0.00020435402038957966,0.00018947945880978882,-0.000024005519977319162,-0.0018443421142032123,-0.0000887166600679612,0.0004023215970676726,0.0003632502590435612,-0.0003513520623393146,0.000010664187028459578]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.0026413251162639953,0.005366584008369906,-0.005837546241998115,-0.0012435749672436106],[-0.0019283495295577442,0.006230074914994192,0.054614825396931174,-0.03673816343924195,-0.15175885685219362,-0.005556356008845435,0.010646934990929651,0.0031701172786338175,-0.00030384023844321525],[0.0008195979040709807,-0.0013529985778769087,-0.0081853044967047,-0.03205535944443076,-0.0028501138054764646,0.01830142965416232,-0.0017767539534958663,0.0012651681681120168,0.0004465646082556986],[0.00014616772890962314,-0.003189156588407659,-0.001560164920177745,0.005251426787352696,0.0020558809074680833,-0.0013494967916247913,-0.0013682007703534537,0.0012046495368245964,4.1831838115878145e-6],[0.00009564256611356446,-0.00036653052231368314,0.0003580911604722895,0.0017017912862665116,-0.0004733883906913768,-0.00030856088302841746,-0.00041379900688624436,0.00026400251996173437,-0.0000587423449277464]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.03056187142729119, -0.03834602970333291, -0.0006230008505960441, -0.0002661444195203441 ], [ -0.0034334953077799655, -0.008902591392288498, 0.05710668618240734, -0.011948161396760228, 0.09824115354296897, -0.05334811211239598, -0.007731660626236165, -0.0029529146607890034, 0.001107116233511247 ], [ 0.0012969744565103495, 0.0018584820986856999, -0.0021874543421343583, -0.014961897681600915, 0.0041781492435568855, -0.017022648676167047, 0.004800356401088319, -0.0013168708366297786, 0.00024058199053936464 ], [ 0.0006122930869860645, -0.0022561500423258487, -0.00024930591806824, 0.0007989995627682341, 0.00023785191748762808, -0.00016886234612532576, -0.0002288737029970808, -0.0009953503131904077, 0.00003683194900017421 ], [ 0.00020435402038957966, 0.00018947945880978882, -0.000024005519977319162, -0.0018443421142032123, -0.0000887166600679612, 0.0004023215970676726, 0.0003632502590435612, -0.0003513520623393146, 0.000010664187028459578 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.0026413251162639953, 0.005366584008369906, -0.005837546241998115, -0.0012435749672436106 ], [ -0.0019283495295577442, 0.006230074914994192, 0.054614825396931174, -0.03673816343924195, -0.15175885685219362, -0.005556356008845435, 0.010646934990929651, 0.0031701172786338175, -0.00030384023844321525 ], [ 0.0008195979040709807, -0.0013529985778769087, -0.0081853044967047, -0.03205535944443076, -0.0028501138054764646, 0.01830142965416232, -0.0017767539534958663, 0.0012651681681120168, 0.0004465646082556986 ], [ 0.00014616772890962314, -0.003189156588407659, -0.001560164920177745, 0.005251426787352696, 0.0020558809074680833, -0.0013494967916247913, -0.0013682007703534537, 0.0012046495368245964, 0.0000041831838115878145 ], [ 0.00009564256611356446, -0.00036653052231368314, 0.0003580911604722895, 0.0017017912862665116, -0.0004733883906913768, -0.00030856088302841746, -0.00041379900688624436, 0.00026400251996173437, -0.0000587423449277464 ] ]

DUw8YFGfWrGecMqdNXwqpCf

{"aspect_ratio": 10.415155048016324, "major_radius": 1.0, "max_elongation": 6.267836008285888, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.14518296471664957, -0.12306272122547136, 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": [[0.7238951471410655, 0.7238951781009896, 0.723896246054725, 0.7239038608954563, 0.7239325377872304, 0.7240097104348936, 0.7241787301495801, 0.7245008619139991, 0.7250562660364482, 0.7259439959319615, 0.7272810689562359, 0.7292006851770447, 0.731849681752824, 0.7353853199057355, 0.7399715083101223, 0.7457745716728629, 0.7529586767517503, 0.7616810303042227, 0.7720869646611523, 0.7843050269026685, 0.798442187059367, 0.8145792794275589, 0.8327667890031961, 0.8530210922183192, 0.8753212576017071, 0.8996065076610221, 0.9257744381596517, 0.9536800849823241, 0.9831359218736758, 1.013912864393402, 1.0457423463309459, 1.078319524394908, 1.1113076550222265, 1.1443436733604055, 1.1770449884971748, 1.2090174903616608, 1.2398647417481152, 1.269198302725718, 1.2966491030496046, 1.3218797392948525, 1.3445975246711501, 1.3645680568515974, 1.3816289863703997, 1.3957035548301389, 1.406813310248813, 1.4150891628160482, 1.420779550397394, 1.4242537869609293, 1.425997269938852, 1.4265918070508201, 1.4266619338570488], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5009711540601471}

10.415155

1

6.267836

[ [ 0.7238951471410655, 0.7238951781009896, 0.723896246054725, 0.7239038608954563, 0.7239325377872304, 0.7240097104348936, 0.7241787301495801, 0.7245008619139991, 0.7250562660364482, 0.7259439959319615, 0.7272810689562359, 0.7292006851770447, 0.731849681752824, 0.7353853199057355, 0.7399715083101223, 0.7457745716728629, 0.7529586767517503, 0.7616810303042227, 0.7720869646611523, 0.7843050269026685, 0.798442187059367, 0.8145792794275589, 0.8327667890031961, 0.8530210922183192, 0.8753212576017071, 0.8996065076610221, 0.9257744381596517, 0.9536800849823241, 0.9831359218736758, 1.013912864393402, 1.0457423463309459, 1.078319524394908, 1.1113076550222265, 1.1443436733604055, 1.1770449884971748, 1.2090174903616608, 1.2398647417481152, 1.269198302725718, 1.2966491030496046, 1.3218797392948525, 1.3445975246711501, 1.3645680568515974, 1.3816289863703997, 1.3957035548301389, 1.406813310248813, 1.4150891628160482, 1.420779550397394, 1.4242537869609293, 1.425997269938852, 1.4265918070508201, 1.4266619338570488 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.14518296471664957, -0.12306272122547136, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.500971

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

DXjovMJnUj4dj84nQKbpWGT

null

false

null

false

DDRhsf2tLKVzXsyj8GiNs7e

DYp7rmufDZHUnuXfQdAErnx

{"qi": 0.0031134912192462487, "vacuum_well": -0.09603148036111885, "aspect_ratio": 9.347917170924317, "max_elongation": 6.0043810955706265, "average_triangularity": -0.2792233697606588, "axis_magnetic_mirror_ratio": 0.2743484726341071, "edge_magnetic_mirror_ratio": 0.32702419479838846, "aspect_ratio_over_edge_rotational_transform": 16.921261204574925, "flux_compression_in_regions_of_bad_curvature": 1.1123007512511058, "axis_rotational_transform_over_n_field_periods": 0.17112645960948136, "edge_rotational_transform_over_n_field_periods": 0.13810904899330084, "minimum_normalized_magnetic_gradient_scale_length": 6.1699118765676735}

9.347917

16.921261

-0.412338

0.274348

0.171126

0.327024

0.138109

1.112301

6.004381

6.169912

0.003113

-0.096031

{"r_cos":[[0.0,0.0,0.0,0.0,0.9963565904053863,-0.008350928112815074,-0.017191223767844384,0.003598447919496362,-0.0001110782717449292],[-0.0006226163439164247,-0.004264239577909442,-0.026071091525667566,-0.04399866869445038,0.14900384084762872,-0.006206700681100453,-0.009148327636048,0.0008191265050606085,-0.0008470271602970612],[-0.0005119388476226771,0.0005733783195253646,0.003343080913338812,0.008455132515591175,-0.024866530935493632,0.017996667851166284,-0.0031898231888239435,0.0006757006091990054,-0.00028877204235879455],[0.0005947463084743619,0.001738323813788258,0.00164259167590973,-0.0003098145683249737,0.006918880471607055,-0.0044392551914361564,0.002179395566875529,-0.0007854959874491812,0.00009899641410988783],[-0.0000719246903116069,-4.714857472284809e-6,-0.00027871163551890633,0.0005544234109723179,-0.0006673451872242376,0.00045113797753157815,-0.00015386614405491153,0.00013971365516888585,-0.0000428529246281143]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1244070532562469,0.003343383317041714,0.00018979906145806004,-0.00024441708765399715],[-0.0006662331187846757,-0.0029533598513264404,-0.0031731441264603094,-0.0789122248676273,-0.10703756008269227,0.06109152084223211,-0.01410788453420466,0.005269812467911115,-0.00035474678564810123],[0.00025083481240662593,0.0008820256742724899,-0.0012342445663876102,-0.0041343336416343295,-0.024756714302024443,0.0018773479871505808,0.0019566039106090733,-0.00007493245127210431,-0.00009048473648999981],[-0.00010988240600872908,0.00032328251415381006,0.0018452675131379204,0.001203423916300174,0.001133271205578374,-0.002845098021268213,0.00021503525138715993,0.00019990414658559055,-0.000038607232110901176],[-0.00006912216397601582,-0.00018675604718160126,0.00014019062206368601,-0.0013241808622919803,0.0008251984656373812,0.0000888348177745591,-0.00009873493422389816,-7.161591896957223e-6,-0.000019601956745701074]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9963565904053863, -0.008350928112815074, -0.017191223767844384, 0.003598447919496362, -0.0001110782717449292 ], [ -0.0006226163439164247, -0.004264239577909442, -0.026071091525667566, -0.04399866869445038, 0.14900384084762872, -0.006206700681100453, -0.009148327636048, 0.0008191265050606085, -0.0008470271602970612 ], [ -0.0005119388476226771, 0.0005733783195253646, 0.003343080913338812, 0.008455132515591175, -0.024866530935493632, 0.017996667851166284, -0.0031898231888239435, 0.0006757006091990054, -0.00028877204235879455 ], [ 0.0005947463084743619, 0.001738323813788258, 0.00164259167590973, -0.0003098145683249737, 0.006918880471607055, -0.0044392551914361564, 0.002179395566875529, -0.0007854959874491812, 0.00009899641410988783 ], [ -0.0000719246903116069, -0.000004714857472284809, -0.00027871163551890633, 0.0005544234109723179, -0.0006673451872242376, 0.00045113797753157815, -0.00015386614405491153, 0.00013971365516888585, -0.0000428529246281143 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1244070532562469, 0.003343383317041714, 0.00018979906145806004, -0.00024441708765399715 ], [ -0.0006662331187846757, -0.0029533598513264404, -0.0031731441264603094, -0.0789122248676273, -0.10703756008269227, 0.06109152084223211, -0.01410788453420466, 0.005269812467911115, -0.00035474678564810123 ], [ 0.00025083481240662593, 0.0008820256742724899, -0.0012342445663876102, -0.0041343336416343295, -0.024756714302024443, 0.0018773479871505808, 0.0019566039106090733, -0.00007493245127210431, -0.00009048473648999981 ], [ -0.00010988240600872908, 0.00032328251415381006, 0.0018452675131379204, 0.001203423916300174, 0.001133271205578374, -0.002845098021268213, 0.00021503525138715993, 0.00019990414658559055, -0.000038607232110901176 ], [ -0.00006912216397601582, -0.00018675604718160126, 0.00014019062206368601, -0.0013241808622919803, 0.0008251984656373812, 0.0000888348177745591, -0.00009873493422389816, -0.000007161591896957223, -0.000019601956745701074 ] ]

Denwa4AzhwoL8yvGzXTuSbQ

{"aspect_ratio": 9.108839510158017, "major_radius": 1.0, "max_elongation": 5.697099761715331, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.03698524453556417, 0.005570126264987884, 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": [[0.771689364098747, 0.7716895510730749, 0.7716936110403385, 0.7717153719782371, 0.7717824563615112, 0.7719375685643125, 0.7722385189101308, 0.7727573947086138, 0.7735791114073188, 0.7747995019609781, 0.7765230624897133, 0.7788604480029948, 0.7819257959086647, 0.7858339437406778, 0.7906975992289224, 0.7966245144865313, 0.8037147110950368, 0.8120577988394435, 0.8217304275285919, 0.8327939085562459, 0.8452920404917611, 0.859249170946449, 0.8746685251763945, 0.8915308303040315, 0.9097932626301365, 0.9293887442340855, 0.950225613898202, 0.9721876963210445, 0.9951347925868437, 1.0189036139184224, 1.0433091798444916, 1.0681467010454473, 1.0931939662906915, 1.118214252029898, 1.142959772333318, 1.1671756859710518, 1.1906046764514855, 1.2129921197688274, 1.2340918533888408, 1.2536725585577229, 1.2715247662420066, 1.2874684947253126, 1.3013615238187903, 1.313108306300893, 1.3226695107037805, 1.3300721791774288, 1.3354204661914824, 1.338906889412887, 1.3408239482238313, 1.3415757572766052, 1.34168844175775], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6036125186055076}

9.10884

1

5.6971

[ [ 0.771689364098747, 0.7716895510730749, 0.7716936110403385, 0.7717153719782371, 0.7717824563615112, 0.7719375685643125, 0.7722385189101308, 0.7727573947086138, 0.7735791114073188, 0.7747995019609781, 0.7765230624897133, 0.7788604480029948, 0.7819257959086647, 0.7858339437406778, 0.7906975992289224, 0.7966245144865313, 0.8037147110950368, 0.8120577988394435, 0.8217304275285919, 0.8327939085562459, 0.8452920404917611, 0.859249170946449, 0.8746685251763945, 0.8915308303040315, 0.9097932626301365, 0.9293887442340855, 0.950225613898202, 0.9721876963210445, 0.9951347925868437, 1.0189036139184224, 1.0433091798444916, 1.0681467010454473, 1.0931939662906915, 1.118214252029898, 1.142959772333318, 1.1671756859710518, 1.1906046764514855, 1.2129921197688274, 1.2340918533888408, 1.2536725585577229, 1.2715247662420066, 1.2874684947253126, 1.3013615238187903, 1.313108306300893, 1.3226695107037805, 1.3300721791774288, 1.3354204661914824, 1.338906889412887, 1.3408239482238313, 1.3415757572766052, 1.34168844175775 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.03698524453556417, 0.005570126264987884, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.603613

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

DN5Jb4oSv9NSRqjHbatUiDf

null

false

null

false

DQ3ZBqBVDsoMCaqoQGkvr4x

Dar4scZ8hntaB5Tcyc7N4rc

{"qi": 0.010721997758023532, "vacuum_well": -0.07699810348389605, "aspect_ratio": 9.673354654395432, "max_elongation": 5.854979605596007, "average_triangularity": -0.5039304503577473, "axis_magnetic_mirror_ratio": 0.2900798080080006, "edge_magnetic_mirror_ratio": 0.32536903929260913, "aspect_ratio_over_edge_rotational_transform": 22.34077089714891, "flux_compression_in_regions_of_bad_curvature": 1.372200534314599, "axis_rotational_transform_over_n_field_periods": 0.22072017141551284, "edge_rotational_transform_over_n_field_periods": 0.21649554303495247, "minimum_normalized_magnetic_gradient_scale_length": 6.248371093452124}

9.673355

22.340771

-0.788452

0.29008

0.22072

0.325369

0.216496

1.372201

5.85498

6.248371

0.010722

-0.076998

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.01709133661056531,-0.06250802992313373,-0.000584885577776605,0.001967398098021737],[-0.0012182341602593458,0.005196667318838687,0.037989464234318294,0.017577653486831255,0.0732644370824245,-0.0014384151609763592,-0.01109884969785239,0.00016265714575034026,-0.0003010121424763187],[0.0006924788842370191,0.0018385657018954035,-0.012380581015664603,-0.00001914094377024608,-0.01118276320855073,0.000026501828101149524,-0.004413169286619713,0.0007022208968151397,-0.0007162261998661558],[0.0000451537711856373,-0.0003876226958580324,0.0034912088371291594,-0.0005327526510846186,0.0020048639806964216,-0.0008517201080561494,-0.0010567150641850296,-0.00016962108374839457,-0.0003544822588769965],[0.00004075232355896961,0.000077621828065872,-0.00019380265004927865,0.0006060068778349706,0.00005204636732847757,0.00045577674380926914,0.00011014937971586803,0.0001039541844266716,-0.00007951712920998153]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.061974271762809466,0.020350206291955615,0.0020731312665554754,-0.0009427761718050364],[-0.0009358346508019527,0.006927245368400515,0.05166822725288148,0.02934830442500117,-0.188544619075445,0.018097824272087667,0.005187688611004292,-0.0007729752369205079,0.000347615909077587],[0.00115894268079798,0.002125615082303457,-0.021132145419768062,-0.013505235589716759,-0.008181759614862491,0.003143034698465952,0.0020583409476468244,-0.0011008847434613679,0.0010393861324832134],[-0.000028528078846641288,-0.00009003875385055534,0.003074163343366644,-0.007514918545826513,-0.0027478877793941795,0.00036057343466449135,0.00001764580437872915,0.00009977285605959766,0.0005932707500485874],[-0.00006168498375836492,0.00010732059032534951,-0.0009113002012310343,0.00034194462249437365,0.0003186557776099089,-0.00016616863666472258,-0.00044402552863551575,-0.00014324636119818917,0.00014523759973669986]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.01709133661056531, -0.06250802992313373, -0.000584885577776605, 0.001967398098021737 ], [ -0.0012182341602593458, 0.005196667318838687, 0.037989464234318294, 0.017577653486831255, 0.0732644370824245, -0.0014384151609763592, -0.01109884969785239, 0.00016265714575034026, -0.0003010121424763187 ], [ 0.0006924788842370191, 0.0018385657018954035, -0.012380581015664603, -0.00001914094377024608, -0.01118276320855073, 0.000026501828101149524, -0.004413169286619713, 0.0007022208968151397, -0.0007162261998661558 ], [ 0.0000451537711856373, -0.0003876226958580324, 0.0034912088371291594, -0.0005327526510846186, 0.0020048639806964216, -0.0008517201080561494, -0.0010567150641850296, -0.00016962108374839457, -0.0003544822588769965 ], [ 0.00004075232355896961, 0.000077621828065872, -0.00019380265004927865, 0.0006060068778349706, 0.00005204636732847757, 0.00045577674380926914, 0.00011014937971586803, 0.0001039541844266716, -0.00007951712920998153 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.061974271762809466, 0.020350206291955615, 0.0020731312665554754, -0.0009427761718050364 ], [ -0.0009358346508019527, 0.006927245368400515, 0.05166822725288148, 0.02934830442500117, -0.188544619075445, 0.018097824272087667, 0.005187688611004292, -0.0007729752369205079, 0.000347615909077587 ], [ 0.00115894268079798, 0.002125615082303457, -0.021132145419768062, -0.013505235589716759, -0.008181759614862491, 0.003143034698465952, 0.0020583409476468244, -0.0011008847434613679, 0.0010393861324832134 ], [ -0.000028528078846641288, -0.00009003875385055534, 0.003074163343366644, -0.007514918545826513, -0.0027478877793941795, 0.00036057343466449135, 0.00001764580437872915, 0.00009977285605959766, 0.0005932707500485874 ], [ -0.00006168498375836492, 0.00010732059032534951, -0.0009113002012310343, 0.00034194462249437365, 0.0003186557776099089, -0.00016616863666472258, -0.00044402552863551575, -0.00014324636119818917, 0.00014523759973669986 ] ]

D7Q6bh2pT8v2tvCu2CYMmNz

{"aspect_ratio": 9.608986333569511, "major_radius": 1.0, "max_elongation": 5.65850327651159, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.3903108330879798, -0.0483521786997052, 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": [[0.7400459996545041, 0.7400462732097912, 0.74005320153938, 0.7400935519638033, 0.7402241207717767, 0.7405348365361568, 0.7411475167651498, 0.7422116192632076, 0.7438979511477934, 0.7463910853470183, 0.7498810884466989, 0.7545550527803389, 0.7605888357606735, 0.7681393336081864, 0.7773375508885138, 0.7882826692268539, 0.8010372666785261, 0.8156237924607403, 0.8320223593670459, 0.8501698776750152, 0.8699605193428314, 0.8912474694950019, 0.9138458934183494, 0.9375370213797283, 0.9620732304338219, 0.9871839819465075, 1.0125824557815073, 1.0379727069782327, 1.0630571583062058, 1.087544232361667, 1.1111559199476098, 1.1336350774516735, 1.1547522449425334, 1.1743117789191853, 1.1921570992904331, 1.2081748595142048, 1.2222978622428688, 1.234506560753974, 1.2448290094790022, 1.2533391558387832, 1.2601534013703939, 1.2654254041744355, 1.2693391489709969, 1.2721003783545481, 1.2739265634608938, 1.275035701018193, 1.275634368230646, 1.2759056685521548, 1.2759980045861372, 1.2760161285457894, 1.2760170118205223], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.451946603274513}

9.608986

1

5.658503

[ [ 0.7400459996545041, 0.7400462732097912, 0.74005320153938, 0.7400935519638033, 0.7402241207717767, 0.7405348365361568, 0.7411475167651498, 0.7422116192632076, 0.7438979511477934, 0.7463910853470183, 0.7498810884466989, 0.7545550527803389, 0.7605888357606735, 0.7681393336081864, 0.7773375508885138, 0.7882826692268539, 0.8010372666785261, 0.8156237924607403, 0.8320223593670459, 0.8501698776750152, 0.8699605193428314, 0.8912474694950019, 0.9138458934183494, 0.9375370213797283, 0.9620732304338219, 0.9871839819465075, 1.0125824557815073, 1.0379727069782327, 1.0630571583062058, 1.087544232361667, 1.1111559199476098, 1.1336350774516735, 1.1547522449425334, 1.1743117789191853, 1.1921570992904331, 1.2081748595142048, 1.2222978622428688, 1.234506560753974, 1.2448290094790022, 1.2533391558387832, 1.2601534013703939, 1.2654254041744355, 1.2693391489709969, 1.2721003783545481, 1.2739265634608938, 1.275035701018193, 1.275634368230646, 1.2759056685521548, 1.2759980045861372, 1.2760161285457894, 1.2760170118205223 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.3903108330879798, -0.0483521786997052, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.451947

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

DWwcEHC6aq5weWLJrMK89mV

null

false

null

false

DZ2dENVQQeY95hUnBBuSSBJ

D2YqT97GNefXqeqAnJM3qZc

{"qi": 0.0020033582559096, "vacuum_well": -0.15793995852219955, "aspect_ratio": 9.259308283160388, "max_elongation": 7.183086748460427, "average_triangularity": -0.6117705983496509, "axis_magnetic_mirror_ratio": 0.3524143159557114, "edge_magnetic_mirror_ratio": 0.401324273869194, "aspect_ratio_over_edge_rotational_transform": 10.430636697115586, "flux_compression_in_regions_of_bad_curvature": 1.5582605093586215, "axis_rotational_transform_over_n_field_periods": 0.3274218131857436, "edge_rotational_transform_over_n_field_periods": 0.4438515381194751, "minimum_normalized_magnetic_gradient_scale_length": 4.7449571411140905}

9.259308

10.430637

-0.700324

0.352414

0.327422

0.401324

0.443852

1.558261

7.183087

4.744957

0.002003

-0.15794

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.01354484247056345,-0.0805761667977198,-0.0023519709297872334,0.0050233704278451865],[-0.004529359892820859,-0.0018750125147428353,0.0705694355041975,-0.02008784082922884,0.09774865934191194,-0.017833111919114637,-0.015140982200263355,0.00005129573779723664,0.0013604224505514096],[-0.001009035824233413,0.0015618449549044664,-0.002041891496712403,0.0018935623707868486,-0.02357423743007656,0.0022548874134456663,0.0007567199135568196,-0.0007141443974760828,0.0003461901769021058],[0.0030319703941532605,-0.000150889025370921,-0.001836341647735237,0.0005626774889971749,-0.0031259248484046365,-0.00038008186007530074,0.000053919358238472236,-0.0000504466443793208,0.00004945451144334925],[0.0002238595046762952,0.0001270740491508434,-0.0011822353635758506,0.0003633238282277828,0.00009936860556248803,-0.00023476448655593366,0.0003308596105428946,0.00009620556430481867,-0.00007860740718092121]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.008352581249090392,0.03819590150323296,0.001277943868332112,-0.0049553441056577495],[-0.005500655571656917,0.004256988673189998,0.0679850573475346,-0.0012607114781242044,-0.16428919476669251,0.004923248677774986,0.01961535437125133,-0.0005899422238730199,-0.0012090048536546301],[-0.002523911046223063,0.0020424889339822738,-0.026394370899976646,0.0015749460504409839,0.0028185501012460705,-0.0020856659821988843,0.00009526727179775749,0.0005379864992836624,-0.00017828706099999158],[0.002447032872223826,-0.00047817020198785806,-0.005465238459405809,0.0012225075525865306,-0.002997906406986409,-6.224233426581978e-6,0.0007640492016801645,0.0001514785461808186,-0.0001042290941568652],[0.00008841618646439331,-0.0003961528801894104,0.0007404003462902442,0.00016264613855357943,-0.0006867667137744103,0.00020387399576358685,-0.0002476498369113578,-0.00006263189982154085,0.000050554431775642005]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.01354484247056345, -0.0805761667977198, -0.0023519709297872334, 0.0050233704278451865 ], [ -0.004529359892820859, -0.0018750125147428353, 0.0705694355041975, -0.02008784082922884, 0.09774865934191194, -0.017833111919114637, -0.015140982200263355, 0.00005129573779723664, 0.0013604224505514096 ], [ -0.001009035824233413, 0.0015618449549044664, -0.002041891496712403, 0.0018935623707868486, -0.02357423743007656, 0.0022548874134456663, 0.0007567199135568196, -0.0007141443974760828, 0.0003461901769021058 ], [ 0.0030319703941532605, -0.000150889025370921, -0.001836341647735237, 0.0005626774889971749, -0.0031259248484046365, -0.00038008186007530074, 0.000053919358238472236, -0.0000504466443793208, 0.00004945451144334925 ], [ 0.0002238595046762952, 0.0001270740491508434, -0.0011822353635758506, 0.0003633238282277828, 0.00009936860556248803, -0.00023476448655593366, 0.0003308596105428946, 0.00009620556430481867, -0.00007860740718092121 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.008352581249090392, 0.03819590150323296, 0.001277943868332112, -0.0049553441056577495 ], [ -0.005500655571656917, 0.004256988673189998, 0.0679850573475346, -0.0012607114781242044, -0.16428919476669251, 0.004923248677774986, 0.01961535437125133, -0.0005899422238730199, -0.0012090048536546301 ], [ -0.002523911046223063, 0.0020424889339822738, -0.026394370899976646, 0.0015749460504409839, 0.0028185501012460705, -0.0020856659821988843, 0.00009526727179775749, 0.0005379864992836624, -0.00017828706099999158 ], [ 0.002447032872223826, -0.00047817020198785806, -0.005465238459405809, 0.0012225075525865306, -0.002997906406986409, -0.000006224233426581978, 0.0007640492016801645, 0.0001514785461808186, -0.0001042290941568652 ], [ 0.00008841618646439331, -0.0003961528801894104, 0.0007404003462902442, 0.00016264613855357943, -0.0006867667137744103, 0.00020387399576358685, -0.0002476498369113578, -0.00006263189982154085, 0.000050554431775642005 ] ]

D42sRoz73L2zWtg8dNQj3io

{"aspect_ratio": 10.130721991216753, "major_radius": 1.0, "max_elongation": 6.647923356282409, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.3025098812477707, -0.28204266947686363, 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": [[0.6178792588156476, 0.6178796644607017, 0.6178917446380702, 0.6179686451067152, 0.6182311821430764, 0.6188771095633818, 0.6201769044610042, 0.6224598086747739, 0.6260935150035345, 0.6314604212337253, 0.6389328867786424, 0.6488494513031602, 0.661493528072376, 0.6770756748021431, 0.6957201754034161, 0.7174563388912042, 0.742214637228796, 0.7698275614922443, 0.8000348743729786, 0.8324927751698628, 0.8667863692236352, 0.9024447451412134, 0.9389579078762762, 0.9757947913489499, 1.0124215782412582, 1.0483195842216342, 1.0830020163557381, 1.1160289879859202, 1.1470202619586154, 1.1756652977206634, 1.2017302923909323, 1.2250620282696565, 1.2455884661305547, 1.26331615173457, 1.2783246289202075, 1.2907581728986544, 1.3008152684654095, 1.3087363560988239, 1.3147904506162884, 1.319261298355959, 1.3224337757712128, 1.3245812407369146, 1.3259545234502887, 1.326773182000529, 1.327219543592761, 1.3274359007067846, 1.327525026150938, 1.3275539049925649, 1.3275602458500417, 1.3275609165648843, 1.3275609286126646], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5927377003904082}

10.130722

1

6.647923

[ [ 0.6178792588156476, 0.6178796644607017, 0.6178917446380702, 0.6179686451067152, 0.6182311821430764, 0.6188771095633818, 0.6201769044610042, 0.6224598086747739, 0.6260935150035345, 0.6314604212337253, 0.6389328867786424, 0.6488494513031602, 0.661493528072376, 0.6770756748021431, 0.6957201754034161, 0.7174563388912042, 0.742214637228796, 0.7698275614922443, 0.8000348743729786, 0.8324927751698628, 0.8667863692236352, 0.9024447451412134, 0.9389579078762762, 0.9757947913489499, 1.0124215782412582, 1.0483195842216342, 1.0830020163557381, 1.1160289879859202, 1.1470202619586154, 1.1756652977206634, 1.2017302923909323, 1.2250620282696565, 1.2455884661305547, 1.26331615173457, 1.2783246289202075, 1.2907581728986544, 1.3008152684654095, 1.3087363560988239, 1.3147904506162884, 1.319261298355959, 1.3224337757712128, 1.3245812407369146, 1.3259545234502887, 1.326773182000529, 1.327219543592761, 1.3274359007067846, 1.327525026150938, 1.3275539049925649, 1.3275602458500417, 1.3275609165648843, 1.3275609286126646 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.3025098812477707, -0.28204266947686363, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.592738

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

DZHbn3kMQN6p58BR6opp9Uq

null

false

null

false

DN4vQMgZ8CBTWG2EkgvhRir

DV5oY9y5m8MccQmvDto6jTm

{"qi": 0.0050301476234272564, "vacuum_well": -0.12410963194703128, "aspect_ratio": 10.005446218365456, "max_elongation": 5.102572659684478, "average_triangularity": -0.5844739362954132, "axis_magnetic_mirror_ratio": 0.16723670688966397, "edge_magnetic_mirror_ratio": 0.22856668655774062, "aspect_ratio_over_edge_rotational_transform": 19.796038472038898, "flux_compression_in_regions_of_bad_curvature": 1.2982737015868162, "axis_rotational_transform_over_n_field_periods": 0.2329263585238363, "edge_rotational_transform_over_n_field_periods": 0.2527133454629759, "minimum_normalized_magnetic_gradient_scale_length": 5.693261199271298}

10.005446

19.796038

-0.8006

0.167237

0.232926

0.228567

0.252713

1.298274

5.102573

5.693261

0.00503

-0.12411

{"r_cos":[[0.0,0.0,0.0,0.0,0.9930930112626676,-0.12422507809161608,-0.06770600485331184,0.015180668748311914,0.0017011331930658824],[0.003289296908224608,-0.005666127189653617,0.04491517950615111,-0.02857104509210793,0.08541899615593003,-0.04305943652064242,0.002479556819869999,0.003155831520999035,-0.00029222766131981807],[-0.002648579737302076,-0.0005651089216335189,-0.013807678418082624,-0.0030657963200708474,-0.004646558176164536,0.0044963300545227845,-0.003020398312643103,0.001342872007687753,-0.00022631781046578213],[0.000291106124448905,-0.00006481444335254278,0.0011687731328074622,-0.0025907634426709713,0.00003415851685617012,-0.002953757463213552,0.0006052572032374087,0.0006163027515195236,-0.0002983044390444539],[-0.00008304621256092394,0.00014484962981991634,0.00003002955334203576,0.0006765635348377477,0.0002662930037316529,-0.0007476968370733446,0.0005260187987675391,-0.000370365763622194,0.00005519406207397202]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14714286029655826,0.046820391012802366,-0.007532594222614796,0.001561396588624293],[0.0024523090093914526,-0.00969037458448427,0.022735933951318413,-0.09047019685681364,-0.13382543762486052,0.06453498526010974,0.0023391902703166004,-0.002963982177015227,0.00022038419585582235],[-0.002954105063879578,0.0012966905804338647,-0.011464250082536053,0.0059147682148730715,-0.012280078074793989,0.0006743413954501871,0.003111109469088335,-0.001305197614054562,0.0000924721489370384],[0.00013643064279520519,-0.0004908178677669672,0.00018445189519111988,0.00014520239597159718,-0.0044211188252552,0.007747879993076864,-0.001100997797889002,-0.0013113687397147565,0.00026740819646173063],[-0.00002500627591165523,-0.0003099087367275057,0.0003629440644270284,-0.00009758705279321527,0.00029213269149357905,0.00036486467567233385,-0.0005788163167990846,0.0003307611623532823,-0.00006467992516896509]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9930930112626676, -0.12422507809161608, -0.06770600485331184, 0.015180668748311914, 0.0017011331930658824 ], [ 0.003289296908224608, -0.005666127189653617, 0.04491517950615111, -0.02857104509210793, 0.08541899615593003, -0.04305943652064242, 0.002479556819869999, 0.003155831520999035, -0.00029222766131981807 ], [ -0.002648579737302076, -0.0005651089216335189, -0.013807678418082624, -0.0030657963200708474, -0.004646558176164536, 0.0044963300545227845, -0.003020398312643103, 0.001342872007687753, -0.00022631781046578213 ], [ 0.000291106124448905, -0.00006481444335254278, 0.0011687731328074622, -0.0025907634426709713, 0.00003415851685617012, -0.002953757463213552, 0.0006052572032374087, 0.0006163027515195236, -0.0002983044390444539 ], [ -0.00008304621256092394, 0.00014484962981991634, 0.00003002955334203576, 0.0006765635348377477, 0.0002662930037316529, -0.0007476968370733446, 0.0005260187987675391, -0.000370365763622194, 0.00005519406207397202 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14714286029655826, 0.046820391012802366, -0.007532594222614796, 0.001561396588624293 ], [ 0.0024523090093914526, -0.00969037458448427, 0.022735933951318413, -0.09047019685681364, -0.13382543762486052, 0.06453498526010974, 0.0023391902703166004, -0.002963982177015227, 0.00022038419585582235 ], [ -0.002954105063879578, 0.0012966905804338647, -0.011464250082536053, 0.0059147682148730715, -0.012280078074793989, 0.0006743413954501871, 0.003111109469088335, -0.001305197614054562, 0.0000924721489370384 ], [ 0.00013643064279520519, -0.0004908178677669672, 0.00018445189519111988, 0.00014520239597159718, -0.0044211188252552, 0.007747879993076864, -0.001100997797889002, -0.0013113687397147565, 0.00026740819646173063 ], [ -0.00002500627591165523, -0.0003099087367275057, 0.0003629440644270284, -0.00009758705279321527, 0.00029213269149357905, 0.00036486467567233385, -0.0005788163167990846, 0.0003307611623532823, -0.00006467992516896509 ] ]

D6KpeZvj9AgXVVwCDbF7LWg

{"aspect_ratio": 10.682818486402317, "major_radius": 1.0, "max_elongation": 4.903853039916837, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.12826390170337376, 0.12729260740203147, 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": [[0.8073933577255723, 0.807393422975413, 0.8073958056526406, 0.8074130881313134, 0.8074780220154308, 0.8076503916159806, 0.8080199828681572, 0.8087058137773424, 0.8098521599649595, 0.8116220685361681, 0.8141891048611384, 0.8177280658711396, 0.8224053441861339, 0.8283695542040777, 0.8357429435957191, 0.844614017999662, 0.8550317078552446, 0.8670013078169104, 0.8804823238076213, 0.8953882726302889, 0.9115883958457379, 0.9289111746630269, 0.947149466900292, 0.9660670314452546, 0.9854061606493152, 1.004896107120251, 1.0242619686644778, 1.043233683748629, 1.061554789738664, 1.0789906071341868, 1.0953355347149294, 1.1104191724916013, 1.1241110310053897, 1.1363236361090303, 1.1470138969972097, 1.1561826708815126, 1.1638725290903997, 1.1701638050771204, 1.1751690831581716, 1.1790263658169335, 1.1818912347777664, 1.1839283940321872, 1.1853030482564335, 1.1861726235033512, 1.1866793735000989, 1.1869444275479955, 1.1870638155818485, 1.1871069387748656, 1.1871178184165672, 1.1871192121409548, 1.1871192461248863], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.55012292921413}

10.682818

1

4.903853

[ [ 0.8073933577255723, 0.807393422975413, 0.8073958056526406, 0.8074130881313134, 0.8074780220154308, 0.8076503916159806, 0.8080199828681572, 0.8087058137773424, 0.8098521599649595, 0.8116220685361681, 0.8141891048611384, 0.8177280658711396, 0.8224053441861339, 0.8283695542040777, 0.8357429435957191, 0.844614017999662, 0.8550317078552446, 0.8670013078169104, 0.8804823238076213, 0.8953882726302889, 0.9115883958457379, 0.9289111746630269, 0.947149466900292, 0.9660670314452546, 0.9854061606493152, 1.004896107120251, 1.0242619686644778, 1.043233683748629, 1.061554789738664, 1.0789906071341868, 1.0953355347149294, 1.1104191724916013, 1.1241110310053897, 1.1363236361090303, 1.1470138969972097, 1.1561826708815126, 1.1638725290903997, 1.1701638050771204, 1.1751690831581716, 1.1790263658169335, 1.1818912347777664, 1.1839283940321872, 1.1853030482564335, 1.1861726235033512, 1.1866793735000989, 1.1869444275479955, 1.1870638155818485, 1.1871069387748656, 1.1871178184165672, 1.1871192121409548, 1.1871192461248863 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.12826390170337376, 0.12729260740203147, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.550123

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

DG6VW47hWgwb6jZy7uNZ2Rm

null

false

null

false

DQkLvYPkAPrjSP6FZyhZqjN

DUzYoYN4eGTojxF3xMrqj59

{"qi": 0.002303198793093854, "vacuum_well": 0.032125438424126455, "aspect_ratio": 8.710560012063887, "max_elongation": 5.683680557271372, "average_triangularity": 0.3685660408938892, "axis_magnetic_mirror_ratio": 0.2712907767945159, "edge_magnetic_mirror_ratio": 0.33241286166249767, "aspect_ratio_over_edge_rotational_transform": 29.70928651043944, "flux_compression_in_regions_of_bad_curvature": 0.9446260896169898, "axis_rotational_transform_over_n_field_periods": 0.14792211850857628, "edge_rotational_transform_over_n_field_periods": 0.14659658704700151, "minimum_normalized_magnetic_gradient_scale_length": 4.564651264986485}

8.71056

29.709287

0.554596

0.271291

0.147922

0.332413

0.146597

0.944626

5.683681

4.564651

0.002303

0.032125

{"r_cos":[[0.0,0.0,0.0,0.0,0.9931622223997169,0.027098153587690497,-0.06580648716301189,-0.008247189231574265,0.0014033294524140793],[-0.0011389878386583118,-0.001146441324765382,0.007380108975415316,-0.04787048648842128,0.1259593732280659,-0.005594558339948843,0.006309206207154187,-0.00047533128828605687,-0.0007548056349471572],[0.00016536944813459883,-0.0010821360066061063,0.0025033957289944705,0.021316376328625975,-0.011457290026669342,-0.012931793715515564,-0.0022629852053839537,-0.00010044192602459018,0.0002988380445960451],[-0.0002625380329345611,-0.000401947139741174,0.002670333332163476,-0.0015135937982207154,-0.00039580870062762546,0.0012199505407730939,0.001597596687615328,-0.00011154579092521454,-0.00002980664684071404],[0.000060611067776770436,0.00009611690259632034,-0.000674347942477956,0.00040734208840244144,0.0009128768832268232,0.00036331309399255217,0.00009677546697312852,-0.0002129785755043242,0.00004349152733419985]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.29359009004306835,-0.01636195563274044,0.004572108492255822,-0.0006901956752606627],[-0.00044823231875305836,0.004068283373788168,0.017558938401538757,-0.08440248389982812,-0.11679748567364574,0.06270755424500941,0.010967977884821236,0.0008511448421684941,0.00009320197826192663],[-0.00020107676116714565,-0.0034662354365863988,0.003672590044332916,-0.014853879023439992,0.021799607687104122,0.011330714136179065,-0.004974363295918917,-0.00039259460090565056,-0.00027176511621450626],[-0.00030360201288534875,0.0004610409478472214,0.0001711118705359975,0.00604263921121406,-0.007359795451840449,-0.005747493515572486,0.00006480866151398658,0.0002550532123461011,0.00001878818149711055],[0.00009825298042103066,-0.00011245592935956678,-0.0008340133181894383,0.000608354058661017,0.0013120533721551614,0.0011825301666667646,-0.0010768232570955054,0.000477705830438187,-0.00003946234919640254]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9931622223997169, 0.027098153587690497, -0.06580648716301189, -0.008247189231574265, 0.0014033294524140793 ], [ -0.0011389878386583118, -0.001146441324765382, 0.007380108975415316, -0.04787048648842128, 0.1259593732280659, -0.005594558339948843, 0.006309206207154187, -0.00047533128828605687, -0.0007548056349471572 ], [ 0.00016536944813459883, -0.0010821360066061063, 0.0025033957289944705, 0.021316376328625975, -0.011457290026669342, -0.012931793715515564, -0.0022629852053839537, -0.00010044192602459018, 0.0002988380445960451 ], [ -0.0002625380329345611, -0.000401947139741174, 0.002670333332163476, -0.0015135937982207154, -0.00039580870062762546, 0.0012199505407730939, 0.001597596687615328, -0.00011154579092521454, -0.00002980664684071404 ], [ 0.000060611067776770436, 0.00009611690259632034, -0.000674347942477956, 0.00040734208840244144, 0.0009128768832268232, 0.00036331309399255217, 0.00009677546697312852, -0.0002129785755043242, 0.00004349152733419985 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.29359009004306835, -0.01636195563274044, 0.004572108492255822, -0.0006901956752606627 ], [ -0.00044823231875305836, 0.004068283373788168, 0.017558938401538757, -0.08440248389982812, -0.11679748567364574, 0.06270755424500941, 0.010967977884821236, 0.0008511448421684941, 0.00009320197826192663 ], [ -0.00020107676116714565, -0.0034662354365863988, 0.003672590044332916, -0.014853879023439992, 0.021799607687104122, 0.011330714136179065, -0.004974363295918917, -0.00039259460090565056, -0.00027176511621450626 ], [ -0.00030360201288534875, 0.0004610409478472214, 0.0001711118705359975, 0.00604263921121406, -0.007359795451840449, -0.005747493515572486, 0.00006480866151398658, 0.0002550532123461011, 0.00001878818149711055 ], [ 0.00009825298042103066, -0.00011245592935956678, -0.0008340133181894383, 0.000608354058661017, 0.0013120533721551614, 0.0011825301666667646, -0.0010768232570955054, 0.000477705830438187, -0.00003946234919640254 ] ]

DegzhEAywMHXQCY7pjQGqzu

{"aspect_ratio": 9.379465337941499, "major_radius": 1.0, "max_elongation": 5.6139202866311315, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.24372952557951483, -0.10131500755410168, 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": [[0.7912484639710434, 0.791248549635345, 0.791250610134904, 0.7912624077652621, 0.7913005815976899, 0.7913923142910759, 0.7915761483722016, 0.7919021633100655, 0.7924316404296594, 0.793236305834908, 0.7943972215076975, 0.7960033825315368, 0.7981500703297636, 0.8009370062050719, 0.8044663454245854, 0.8088405491036342, 0.8141601688942544, 0.8205215777866719, 0.8280146790564145, 0.8367206244510437, 0.8467095720513458, 0.8580385138236742, 0.8707492026783522, 0.8848662088495391, 0.9003951356094735, 0.9173210247270782, 0.9356069826878008, 0.95519305952668, 0.9759954132176605, 0.9979057939481312, 1.0207913843417418, 1.0444950338466754, 1.0688359281777964, 1.0936107380212094, 1.118595295359548, 1.1435468510071836, 1.1682069736121197, 1.192305158998855, 1.2155632300516725, 1.2377006225196046, 1.2584406729583995, 1.2775180544188514, 1.294687548350745, 1.3097344062096576, 1.3224866577635468, 1.3328298980959037, 1.3407254048707593, 1.3462330842768389, 1.3495422600472387, 1.351017807254312, 1.3512912720647776], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.2756616395183129}

9.379465

1

5.61392

[ [ 0.7912484639710434, 0.791248549635345, 0.791250610134904, 0.7912624077652621, 0.7913005815976899, 0.7913923142910759, 0.7915761483722016, 0.7919021633100655, 0.7924316404296594, 0.793236305834908, 0.7943972215076975, 0.7960033825315368, 0.7981500703297636, 0.8009370062050719, 0.8044663454245854, 0.8088405491036342, 0.8141601688942544, 0.8205215777866719, 0.8280146790564145, 0.8367206244510437, 0.8467095720513458, 0.8580385138236742, 0.8707492026783522, 0.8848662088495391, 0.9003951356094735, 0.9173210247270782, 0.9356069826878008, 0.95519305952668, 0.9759954132176605, 0.9979057939481312, 1.0207913843417418, 1.0444950338466754, 1.0688359281777964, 1.0936107380212094, 1.118595295359548, 1.1435468510071836, 1.1682069736121197, 1.192305158998855, 1.2155632300516725, 1.2377006225196046, 1.2584406729583995, 1.2775180544188514, 1.294687548350745, 1.3097344062096576, 1.3224866577635468, 1.3328298980959037, 1.3407254048707593, 1.3462330842768389, 1.3495422600472387, 1.351017807254312, 1.3512912720647776 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.24372952557951483, -0.10131500755410168, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.275662

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

DQS4DW3ceArSAaFfPeqcKmB

null

false

null

false

DCrZyS5FPT8Eap8FA9Hf6i5

DcQxjhEHTDNx8ZTgZJNkTPq

{"qi": 0.0035250092436286983, "vacuum_well": -0.09625961748175718, "aspect_ratio": 8.767003687128732, "max_elongation": 5.725402118980136, "average_triangularity": -0.358964842001951, "axis_magnetic_mirror_ratio": 0.24709672069260127, "edge_magnetic_mirror_ratio": 0.27717616498489656, "aspect_ratio_over_edge_rotational_transform": 13.601372151321405, "flux_compression_in_regions_of_bad_curvature": 1.504888809087773, "axis_rotational_transform_over_n_field_periods": 0.24108108697544128, "edge_rotational_transform_over_n_field_periods": 0.21485586379550184, "minimum_normalized_magnetic_gradient_scale_length": 6.134857295286176}

8.767004

13.601372

-0.43888

0.247097

0.241081

0.277176

0.214856

1.504889

5.725402

6.134857

0.003525

-0.09626

{"r_cos":[[0.0,0.0,0.0,0.0,0.9992411619568369,0.016158474659030767,-0.03397270045577941,-0.0006531139134381596,-0.000976961911118479],[0.0004223568729438855,-0.0025294010026801587,-0.025193982220326507,-0.04560032292268906,0.14526997801086958,-0.019347612150724766,-0.0071571168779984325,0.002002158602804051,-0.000714198220633691],[0.0008466936867732775,0.0030146427339346605,-0.00966443779057323,-0.01590978623883984,-0.007921499663123624,0.020993158890551235,-0.010879994327698608,0.002778298180079176,-0.00033192014147132346],[-0.0004898074839717779,0.00001756392685927078,0.0023795418408375547,-0.0017865839854422593,0.000562143311423876,0.001835575383033336,-0.0017685995061509155,0.00012937012179050923,0.00009256001537338068],[-0.0004536607140122693,-0.00027486870241981713,0.0004849174825105532,0.00007553018515124224,-0.0004224835471510046,0.0007486852621333244,-0.00014911631994355418,-0.00017544797330645864,0.000025127256055498397]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.3226300390547055,0.014067735552937576,0.005673903505975352,0.0002672249974205905],[-0.0000777962597608092,-0.012490993939491275,-0.03048433157764886,-0.09621166446573534,-0.11769063523682964,0.04487026451913587,-0.01839874614334588,0.01082016541880676,-0.001258652942393567],[0.0011061294318098483,0.000182810534202929,-0.000042330407518661756,0.003130145313779522,-0.0034345881713570827,0.00276882839667176,-0.0036224095339177005,0.001635932743474074,-0.0003356763985705541],[0.00036952943675653454,0.00046448970780345246,0.0019532537729898877,0.0019865197276059425,-0.00017577891604631765,0.0009432056650859305,0.00104048934030153,-0.00006140103261599702,-0.00003343146724421692],[-0.00013525784689456788,-0.000240000586084913,-0.0003174202435077143,-0.0002945179577034532,0.0001162223161175627,-0.00022968911517290847,0.0001428389765201364,0.00008099730729337394,0.00004685996779726897]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9992411619568369, 0.016158474659030767, -0.03397270045577941, -0.0006531139134381596, -0.000976961911118479 ], [ 0.0004223568729438855, -0.0025294010026801587, -0.025193982220326507, -0.04560032292268906, 0.14526997801086958, -0.019347612150724766, -0.0071571168779984325, 0.002002158602804051, -0.000714198220633691 ], [ 0.0008466936867732775, 0.0030146427339346605, -0.00966443779057323, -0.01590978623883984, -0.007921499663123624, 0.020993158890551235, -0.010879994327698608, 0.002778298180079176, -0.00033192014147132346 ], [ -0.0004898074839717779, 0.00001756392685927078, 0.0023795418408375547, -0.0017865839854422593, 0.000562143311423876, 0.001835575383033336, -0.0017685995061509155, 0.00012937012179050923, 0.00009256001537338068 ], [ -0.0004536607140122693, -0.00027486870241981713, 0.0004849174825105532, 0.00007553018515124224, -0.0004224835471510046, 0.0007486852621333244, -0.00014911631994355418, -0.00017544797330645864, 0.000025127256055498397 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.3226300390547055, 0.014067735552937576, 0.005673903505975352, 0.0002672249974205905 ], [ -0.0000777962597608092, -0.012490993939491275, -0.03048433157764886, -0.09621166446573534, -0.11769063523682964, 0.04487026451913587, -0.01839874614334588, 0.01082016541880676, -0.001258652942393567 ], [ 0.0011061294318098483, 0.000182810534202929, -0.000042330407518661756, 0.003130145313779522, -0.0034345881713570827, 0.00276882839667176, -0.0036224095339177005, 0.001635932743474074, -0.0003356763985705541 ], [ 0.00036952943675653454, 0.00046448970780345246, 0.0019532537729898877, 0.0019865197276059425, -0.00017577891604631765, 0.0009432056650859305, 0.00104048934030153, -0.00006140103261599702, -0.00003343146724421692 ], [ -0.00013525784689456788, -0.000240000586084913, -0.0003174202435077143, -0.0002945179577034532, 0.0001162223161175627, -0.00022968911517290847, 0.0001428389765201364, 0.00008099730729337394, 0.00004685996779726897 ] ]

DeAbAsk43LDfJ97tDuzCwXs

{"aspect_ratio": 8.74875348702652, "major_radius": 1.0, "max_elongation": 5.432706090743478, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.19743202005138533, 0.2858946994716301, 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": [[0.7517030888185491, 0.7517042327954174, 0.7517254254410306, 0.7518268803701679, 0.7521125344958262, 0.7527232649623565, 0.7538271786761549, 0.7556089139014217, 0.7582589552267137, 0.7619635577646376, 0.7668956529883187, 0.7732069682387329, 0.7810214961625552, 0.7904303812534851, 0.8014882388839689, 0.8142108823607742, 0.8285744023358048, 0.844515518239031, 0.8619331018526839, 0.8806907577265171, 0.9006203331357955, 0.921526221189227, 0.9431903141179597, 0.9653774594285702, 0.9878412692622689, 1.0103301328022267, 1.0325932827855913, 1.054386770014799, 1.0754792041609333, 1.0956571250717466, 1.114729876223016, 1.1325338608906343, 1.1489360721014128, 1.163836799496311, 1.177171429991638, 1.1889112746650574, 1.1990633717774823, 1.2076692354738587, 1.2148025417576096, 1.2205657681693842, 1.225085831714066, 1.2285088016516674, 1.230993800760877, 1.2327062520041003, 1.2338106793024208, 1.23446333476651, 1.2348050059892985, 1.2349544664969727, 1.2350031920149884, 1.235012227919863, 1.2350126323695636], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6940094805564885}

8.748753

1

5.432706

[ [ 0.7517030888185491, 0.7517042327954174, 0.7517254254410306, 0.7518268803701679, 0.7521125344958262, 0.7527232649623565, 0.7538271786761549, 0.7556089139014217, 0.7582589552267137, 0.7619635577646376, 0.7668956529883187, 0.7732069682387329, 0.7810214961625552, 0.7904303812534851, 0.8014882388839689, 0.8142108823607742, 0.8285744023358048, 0.844515518239031, 0.8619331018526839, 0.8806907577265171, 0.9006203331357955, 0.921526221189227, 0.9431903141179597, 0.9653774594285702, 0.9878412692622689, 1.0103301328022267, 1.0325932827855913, 1.054386770014799, 1.0754792041609333, 1.0956571250717466, 1.114729876223016, 1.1325338608906343, 1.1489360721014128, 1.163836799496311, 1.177171429991638, 1.1889112746650574, 1.1990633717774823, 1.2076692354738587, 1.2148025417576096, 1.2205657681693842, 1.225085831714066, 1.2285088016516674, 1.230993800760877, 1.2327062520041003, 1.2338106793024208, 1.23446333476651, 1.2348050059892985, 1.2349544664969727, 1.2350031920149884, 1.235012227919863, 1.2350126323695636 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.19743202005138533, 0.2858946994716301, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.694009

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

DA3Va6izExoxHQtSZXwgudB

null

false

null

false

DfsYGurG66x9wxtfPW6qDzn

Da5qESnyiTZPtzVr37aosHB

{"qi": 0.004996236169709614, "vacuum_well": -0.1498669651380536, "aspect_ratio": 7.4511729559645605, "max_elongation": 7.049935265724968, "average_triangularity": -0.37233752818570764, "axis_magnetic_mirror_ratio": 0.4583626460334248, "edge_magnetic_mirror_ratio": 0.4843602678007882, "aspect_ratio_over_edge_rotational_transform": 31.151264482424967, "flux_compression_in_regions_of_bad_curvature": 2.676681216789563, "axis_rotational_transform_over_n_field_periods": 0.1507565204032572, "edge_rotational_transform_over_n_field_periods": 0.11959663724354416, "minimum_normalized_magnetic_gradient_scale_length": 2.482400172579557}

7.451173

31.151264

-0.981508

0.458363

0.150757

0.48436

0.119597

2.676681

7.049935

2.4824

0.004996

-0.149867

{"r_cos":[[0.0,0.0,0.0,0.0,0.9984766341150848,0.24350037207285036,-0.04420277356982544,-0.009256431340985537,-0.0018755646895993244],[-0.0006735659606934554,0.004953773997662303,0.003053759744843389,-0.10062734571170454,0.10953017542033353,0.06180687160369533,-0.0041917530410710965,0.00044363482840538383,0.0009643687808531575],[0.0017600429096904257,-0.00447663219735568,-0.003509212526545289,-0.005163781241925758,-0.06956504216451462,0.01103987361607576,0.007675453442687151,0.00021201941721968017,0.0010236201650297284],[0.0006724868630280062,0.00016922804583888092,0.0020793660123274845,0.004131644617615693,-0.0019871404477086133,-0.001982335758390451,-0.0027019369530244695,-0.0007247828897541933,0.00023860993385053816],[-0.000441731780024867,0.0006249761803384733,0.00013436719395909107,-0.000469377607825912,-0.00021380690560932059,-0.00005407358313043887,0.0006717879932019214,-0.00030767778652756304,-0.00010972745733538219]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.4485974047596778,-0.05165996984001227,0.00404100423860209,0.0011556015133766164],[0.0024233980885472665,0.005378551252862474,0.006851757117897423,-0.01607222843035786,-0.15027945064991216,0.038035126062564095,0.013270019298885787,0.004519839897998469,0.0005963089401067726],[0.000796653858639771,0.00002343073368276478,-0.010510663811025937,0.013983158919849015,0.015499141849573558,-0.006058402581287879,-0.0014315784700689466,-0.0017985864521603868,-0.0004519428038954235],[0.00017635331784113264,0.0006877257991691128,0.00038186542704872397,-0.00464967558276474,-0.005599927259306311,0.004017464415651243,0.0025106625701387794,0.000021181807413899953,-0.0006289961847845882],[-0.0003459014502659434,0.00022378493986798407,0.0008953753802973232,0.0010948537490348162,-0.0010269219190078885,-0.0013810331972111786,-4.556213892827781e-6,0.00025582034272432486,0.000032700298197610304]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9984766341150848, 0.24350037207285036, -0.04420277356982544, -0.009256431340985537, -0.0018755646895993244 ], [ -0.0006735659606934554, 0.004953773997662303, 0.003053759744843389, -0.10062734571170454, 0.10953017542033353, 0.06180687160369533, -0.0041917530410710965, 0.00044363482840538383, 0.0009643687808531575 ], [ 0.0017600429096904257, -0.00447663219735568, -0.003509212526545289, -0.005163781241925758, -0.06956504216451462, 0.01103987361607576, 0.007675453442687151, 0.00021201941721968017, 0.0010236201650297284 ], [ 0.0006724868630280062, 0.00016922804583888092, 0.0020793660123274845, 0.004131644617615693, -0.0019871404477086133, -0.001982335758390451, -0.0027019369530244695, -0.0007247828897541933, 0.00023860993385053816 ], [ -0.000441731780024867, 0.0006249761803384733, 0.00013436719395909107, -0.000469377607825912, -0.00021380690560932059, -0.00005407358313043887, 0.0006717879932019214, -0.00030767778652756304, -0.00010972745733538219 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.4485974047596778, -0.05165996984001227, 0.00404100423860209, 0.0011556015133766164 ], [ 0.0024233980885472665, 0.005378551252862474, 0.006851757117897423, -0.01607222843035786, -0.15027945064991216, 0.038035126062564095, 0.013270019298885787, 0.004519839897998469, 0.0005963089401067726 ], [ 0.000796653858639771, 0.00002343073368276478, -0.010510663811025937, 0.013983158919849015, 0.015499141849573558, -0.006058402581287879, -0.0014315784700689466, -0.0017985864521603868, -0.0004519428038954235 ], [ 0.00017635331784113264, 0.0006877257991691128, 0.00038186542704872397, -0.00464967558276474, -0.005599927259306311, 0.004017464415651243, 0.0025106625701387794, 0.000021181807413899953, -0.0006289961847845882 ], [ -0.0003459014502659434, 0.00022378493986798407, 0.0008953753802973232, 0.0010948537490348162, -0.0010269219190078885, -0.0013810331972111786, -0.000004556213892827781, 0.00025582034272432486, 0.000032700298197610304 ] ]

D2KWvnwuoYE4qQ5temRGx8M

{"aspect_ratio": 7.320915005819743, "major_radius": 1.0, "max_elongation": 6.927422688498333, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.19856477469715822, -0.35054556936331366, 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": [[0.6581222479155523, 0.6581260863494549, 0.6581696753048875, 0.6583266151242219, 0.6586942350645832, 0.6593857988716575, 0.6605251034700651, 0.662242244286384, 0.6646701025499924, 0.6679413374436449, 0.6721857599305564, 0.6775280114801839, 0.6840854966428167, 0.6919665339310569, 0.7012686994328076, 0.7120773443270262, 0.7244642722465788, 0.7384865659447581, 0.7541855554030531, 0.7715859216388127, 0.7906949322112173, 0.811501805905297, 0.8339772053850061, 0.8580728578146348, 0.8837213046072814, 0.9108357826168878, 0.939310240290927, 0.9690194935899096, 0.9998195279078455, 1.0315479538540364, 1.0640246266544047, 1.0970524411942062, 1.1304183174780298, 1.16389439469665, 1.1972394563984854, 1.2302006147994349, 1.2625152895126004, 1.2939135256575827, 1.324120709513791, 1.3528607583332342, 1.379859887413257, 1.4048510967391286, 1.427579579682674, 1.4478093526342537, 1.465331567060239, 1.4799752580605716, 1.4916218552460159, 1.500226029799944, 1.5058486442541938, 1.5087181248348784, 1.509399758495289], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.24366240574349698}

7.320915

1

6.927423

[ [ 0.6581222479155523, 0.6581260863494549, 0.6581696753048875, 0.6583266151242219, 0.6586942350645832, 0.6593857988716575, 0.6605251034700651, 0.662242244286384, 0.6646701025499924, 0.6679413374436449, 0.6721857599305564, 0.6775280114801839, 0.6840854966428167, 0.6919665339310569, 0.7012686994328076, 0.7120773443270262, 0.7244642722465788, 0.7384865659447581, 0.7541855554030531, 0.7715859216388127, 0.7906949322112173, 0.811501805905297, 0.8339772053850061, 0.8580728578146348, 0.8837213046072814, 0.9108357826168878, 0.939310240290927, 0.9690194935899096, 0.9998195279078455, 1.0315479538540364, 1.0640246266544047, 1.0970524411942062, 1.1304183174780298, 1.16389439469665, 1.1972394563984854, 1.2302006147994349, 1.2625152895126004, 1.2939135256575827, 1.324120709513791, 1.3528607583332342, 1.379859887413257, 1.4048510967391286, 1.427579579682674, 1.4478093526342537, 1.465331567060239, 1.4799752580605716, 1.4916218552460159, 1.500226029799944, 1.5058486442541938, 1.5087181248348784, 1.509399758495289 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.19856477469715822, -0.35054556936331366, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.243662

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

DDvGUAcZuok2HwXBGnLjC6s

null

false

null

false

DNBVZiAd2zjMPbSESV7cLGo

DBV7yWRhRb2Ua2DkYAtixJj

{"qi": 0.005337256893613829, "vacuum_well": -0.07535637272842882, "aspect_ratio": 9.542149323925829, "max_elongation": 3.0591616567464244, "average_triangularity": -0.0631062052506111, "axis_magnetic_mirror_ratio": 0.30701390637101184, "edge_magnetic_mirror_ratio": 0.3693207423779798, "aspect_ratio_over_edge_rotational_transform": 25.52040733459744, "flux_compression_in_regions_of_bad_curvature": 0.751127551065704, "axis_rotational_transform_over_n_field_periods": 0.1801112901811302, "edge_rotational_transform_over_n_field_periods": 0.18695135228092052, "minimum_normalized_magnetic_gradient_scale_length": 5.987720984687683}

9.542149

25.520407

-0.05828

0.307014

0.180111

0.369321

0.186951

0.751128

3.059162

5.987721

0.005337

-0.075356

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.001583860933994329,-0.06375068087349943,-0.005984627910552072,0.004044544366570478],[0.0008534352232440368,-0.016174796905173296,0.03911858498625843,-0.011744171163899562,0.10525582856552965,-0.023109934402846973,-0.007509423162454884,-0.0005749069699498427,-0.0011750181000104293],[-0.000689170541047493,0.0036499065060482732,-0.003469917789099529,-0.0013616170979711352,0.0020721820326586047,0.0004371211418694618,0.0008230395109426634,-0.0006413958975826754,-0.00020227999155449764],[-0.0013444359344961028,-0.0009383319359566798,0.0007470053554401531,0.005818764301892904,-0.0056479791769479286,-0.00322160334241927,0.0012123607775264868,0.0007612246745617332,0.0005557698414608448],[-0.00014861053290666037,0.0008090526528914852,-0.0006399721983868968,-0.00014664850526434608,-0.0008107403228663334,0.0005193890323662619,0.0002704461023056902,0.00018332218349138645,0.000035173967346338174]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.010127923155747917,-0.0037816409292399248,0.0015071665218058528,0.00022862199272856434],[0.00022533454316685405,-0.010003825534397881,0.04045346684561006,0.00605663774327595,-0.1198237977847113,0.0016435515585665954,-0.0006094146842097574,-0.0030582472970675937,0.0008696545504876103],[-2.2982535692944584e-7,0.00259469678888042,-0.000882998425995559,-0.0048766392954473735,-0.0024670964851717376,-0.0026903264707509957,-0.0010032791112726687,-0.00004415431172313756,0.000056793362020174644],[-0.0012317914637832092,0.0026004629621135793,0.0034881546429530344,-0.002944598644771478,0.001951602999361888,0.003776989376949505,0.0029015753787298014,0.0005160036225095039,-0.00025704422644718663],[0.000015122031167081945,0.0005900516352250517,-0.001425459153925448,-0.00040081320659783007,0.002357285687779401,0.0003191978076609737,-0.0003446224029652104,0.00008067421366264582,-0.000027330750855555246]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.001583860933994329, -0.06375068087349943, -0.005984627910552072, 0.004044544366570478 ], [ 0.0008534352232440368, -0.016174796905173296, 0.03911858498625843, -0.011744171163899562, 0.10525582856552965, -0.023109934402846973, -0.007509423162454884, -0.0005749069699498427, -0.0011750181000104293 ], [ -0.000689170541047493, 0.0036499065060482732, -0.003469917789099529, -0.0013616170979711352, 0.0020721820326586047, 0.0004371211418694618, 0.0008230395109426634, -0.0006413958975826754, -0.00020227999155449764 ], [ -0.0013444359344961028, -0.0009383319359566798, 0.0007470053554401531, 0.005818764301892904, -0.0056479791769479286, -0.00322160334241927, 0.0012123607775264868, 0.0007612246745617332, 0.0005557698414608448 ], [ -0.00014861053290666037, 0.0008090526528914852, -0.0006399721983868968, -0.00014664850526434608, -0.0008107403228663334, 0.0005193890323662619, 0.0002704461023056902, 0.00018332218349138645, 0.000035173967346338174 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.010127923155747917, -0.0037816409292399248, 0.0015071665218058528, 0.00022862199272856434 ], [ 0.00022533454316685405, -0.010003825534397881, 0.04045346684561006, 0.00605663774327595, -0.1198237977847113, 0.0016435515585665954, -0.0006094146842097574, -0.0030582472970675937, 0.0008696545504876103 ], [ -2.2982535692944584e-7, 0.00259469678888042, -0.000882998425995559, -0.0048766392954473735, -0.0024670964851717376, -0.0026903264707509957, -0.0010032791112726687, -0.00004415431172313756, 0.000056793362020174644 ], [ -0.0012317914637832092, 0.0026004629621135793, 0.0034881546429530344, -0.002944598644771478, 0.001951602999361888, 0.003776989376949505, 0.0029015753787298014, 0.0005160036225095039, -0.00025704422644718663 ], [ 0.000015122031167081945, 0.0005900516352250517, -0.001425459153925448, -0.00040081320659783007, 0.002357285687779401, 0.0003191978076609737, -0.0003446224029652104, 0.00008067421366264582, -0.000027330750855555246 ] ]

DBakgLrLowhVfwumNdNdSN2

{"aspect_ratio": 10.90750552364154, "major_radius": 1.0, "max_elongation": 6.205376237962909, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.15882664940057795, 0.5873550327923539, 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": [[0.6846094288919662, 0.6846094899030828, 0.6846119154390119, 0.6846305099456227, 0.6847033349096509, 0.6849032593737486, 0.6853443842048623, 0.6861839004223651, 0.6876195834950037, 0.6898834711514474, 0.693232460241731, 0.6979366482577254, 0.7042662693335953, 0.7124780525408414, 0.7228017752355466, 0.7354277055407732, 0.7504955328570668, 0.7680852791456597, 0.7882105711022589, 0.8108145379319365, 0.83576848435633, 0.862873376384437, 0.8918640705436794, 0.9224161176852499, 0.9541548818824126, 0.9866666348522515, 1.019511218080913, 1.052235809580679, 1.0843892909596735, 1.1155366841014986, 1.1452731159527427, 1.1732367752843582, 1.1991203472738778, 1.222680450653142, 1.2437446581345584, 1.2622157538593723, 1.2780729715143238, 1.2913700631413851, 1.3022301708774937, 1.3108376109691902, 1.3174268301011198, 1.3222689565667967, 1.3256565406585346, 1.327887256522217, 1.3292475169516824, 1.3299971264852952, 1.3303562566414868, 1.3304961540721245, 1.3305350595917584, 1.3305407667966413, 1.3305409396008847], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5198896949089926}

10.907506

1

6.205376

[ [ 0.6846094288919662, 0.6846094899030828, 0.6846119154390119, 0.6846305099456227, 0.6847033349096509, 0.6849032593737486, 0.6853443842048623, 0.6861839004223651, 0.6876195834950037, 0.6898834711514474, 0.693232460241731, 0.6979366482577254, 0.7042662693335953, 0.7124780525408414, 0.7228017752355466, 0.7354277055407732, 0.7504955328570668, 0.7680852791456597, 0.7882105711022589, 0.8108145379319365, 0.83576848435633, 0.862873376384437, 0.8918640705436794, 0.9224161176852499, 0.9541548818824126, 0.9866666348522515, 1.019511218080913, 1.052235809580679, 1.0843892909596735, 1.1155366841014986, 1.1452731159527427, 1.1732367752843582, 1.1991203472738778, 1.222680450653142, 1.2437446581345584, 1.2622157538593723, 1.2780729715143238, 1.2913700631413851, 1.3022301708774937, 1.3108376109691902, 1.3174268301011198, 1.3222689565667967, 1.3256565406585346, 1.327887256522217, 1.3292475169516824, 1.3299971264852952, 1.3303562566414868, 1.3304961540721245, 1.3305350595917584, 1.3305407667966413, 1.3305409396008847 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.15882664940057795, 0.5873550327923539, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.51989

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

DdhjJW9a3iv2CWdYaB4AYmo

null

false

null

false

DGZNWexd8ChZdnDU57uBp3G

DnWDsi5L8KpB7xrLqTxTPTs

{"qi": 0.003555704314362187, "vacuum_well": -0.054654138155467116, "aspect_ratio": 9.547459885573215, "max_elongation": 5.726285066132618, "average_triangularity": -0.41706650440354753, "axis_magnetic_mirror_ratio": 0.2255279031674418, "edge_magnetic_mirror_ratio": 0.29581685882807546, "aspect_ratio_over_edge_rotational_transform": 52.50888010854225, "flux_compression_in_regions_of_bad_curvature": 1.1978794292143842, "axis_rotational_transform_over_n_field_periods": 0.1575700576149395, "edge_rotational_transform_over_n_field_periods": 0.09091281194568854, "minimum_normalized_magnetic_gradient_scale_length": 4.365615417976968}

9.54746

52.50888

-0.41262

0.225528

0.15757

0.295817

0.090913

1.197879

5.726285

4.365615

0.003556

-0.054654

{"r_cos":[[0.0,0.0,0.0,0.0,0.9936740337312977,-0.12345911087128605,-0.059052071634866345,0.014730870751008636,0.0017905957746252674],[-0.0006625834068394546,-0.004870852720035787,0.012232134214874108,-0.004578519836428371,0.13211284200421508,-0.03284306949838185,0.01002576973386655,-0.004889524037920028,-0.0003933441288429001],[0.00011057869637238662,-0.00209357010359278,0.0021308286014194234,0.003282000085555242,-0.017886384447196556,0.00024063356695920102,0.0022370734141074593,0.00036743936239811955,-0.0000495548440305971],[0.00015580138880887738,0.000831037632127412,-0.001264273259445038,0.0015918372522679021,0.005182529664508504,-0.00317568940584482,-0.0010580908672555304,-0.0002031085584743428,0.00013528080830936754],[-0.000055045280935665945,-0.000014254158815363803,0.0006863060732810762,-0.0009167506209580099,-0.0016640064788961293,0.0016886888948515599,0.000718772340757045,-0.000463026463925512,-0.0000616658745925029]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.24771888346136808,0.04142292248478529,0.000392151276232617,0.00078968589024799],[0.000636628591288262,0.0034317365298885587,0.019598960884245484,-0.09801640191562001,-0.06895696808346807,0.09224249173830419,-0.020264049769401157,0.0003279779918998532,-0.0009380426676927906],[0.000262954351242817,-0.0036430985203536196,0.005450793521312578,0.012231548651294557,-0.012645711970324713,-0.01253462831244582,0.0021632753785863776,0.0016880585304373565,-0.0004408872708731513],[-7.754342827621025e-6,0.00034965373236216186,-0.0035313919823414227,-0.0016648646068272589,-0.0007551425664509011,0.003370738653058777,-0.0031920173067981556,0.00022911104363834565,0.00003937220412288506],[0.00003141322994764668,0.00015003881604807538,0.0003056709730740118,-0.0016946178156084161,0.0025776545871019243,0.0010794553270598432,-0.0012181505429071586,-0.0004994013222408384,9.925038358930396e-6]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9936740337312977, -0.12345911087128605, -0.059052071634866345, 0.014730870751008636, 0.0017905957746252674 ], [ -0.0006625834068394546, -0.004870852720035787, 0.012232134214874108, -0.004578519836428371, 0.13211284200421508, -0.03284306949838185, 0.01002576973386655, -0.004889524037920028, -0.0003933441288429001 ], [ 0.00011057869637238662, -0.00209357010359278, 0.0021308286014194234, 0.003282000085555242, -0.017886384447196556, 0.00024063356695920102, 0.0022370734141074593, 0.00036743936239811955, -0.0000495548440305971 ], [ 0.00015580138880887738, 0.000831037632127412, -0.001264273259445038, 0.0015918372522679021, 0.005182529664508504, -0.00317568940584482, -0.0010580908672555304, -0.0002031085584743428, 0.00013528080830936754 ], [ -0.000055045280935665945, -0.000014254158815363803, 0.0006863060732810762, -0.0009167506209580099, -0.0016640064788961293, 0.0016886888948515599, 0.000718772340757045, -0.000463026463925512, -0.0000616658745925029 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.24771888346136808, 0.04142292248478529, 0.000392151276232617, 0.00078968589024799 ], [ 0.000636628591288262, 0.0034317365298885587, 0.019598960884245484, -0.09801640191562001, -0.06895696808346807, 0.09224249173830419, -0.020264049769401157, 0.0003279779918998532, -0.0009380426676927906 ], [ 0.000262954351242817, -0.0036430985203536196, 0.005450793521312578, 0.012231548651294557, -0.012645711970324713, -0.01253462831244582, 0.0021632753785863776, 0.0016880585304373565, -0.0004408872708731513 ], [ -0.000007754342827621025, 0.00034965373236216186, -0.0035313919823414227, -0.0016648646068272589, -0.0007551425664509011, 0.003370738653058777, -0.0031920173067981556, 0.00022911104363834565, 0.00003937220412288506 ], [ 0.00003141322994764668, 0.00015003881604807538, 0.0003056709730740118, -0.0016946178156084161, 0.0025776545871019243, 0.0010794553270598432, -0.0012181505429071586, -0.0004994013222408384, 0.000009925038358930396 ] ]

DBLLxLwKeDdbCkMgUDY3Lmj

{"aspect_ratio": 10.509701573811828, "major_radius": 1.0, "max_elongation": 5.3755984110762824, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.4893806934813339, -0.2695585899368875, 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": [[0.8509137480795981, 0.8509137519932835, 0.8509138949331665, 0.8509149629108752, 0.8509191582518967, 0.8509309064886488, 0.8509576449128133, 0.8510105637885548, 0.8511052807773121, 0.8512624340293524, 0.8515081823704496, 0.8518746029978588, 0.8523999785159838, 0.8531289662017516, 0.8541126432123869, 0.8554084221062113, 0.8570798315863943, 0.8591961578290703, 0.8618319421423148, 0.8650663310365252, 0.8689822750812081, 0.8736655731867741, 0.8792037591896001, 0.8856848278400371, 0.8931957975010636, 0.9018211070643246, 0.9116408447845025, 0.9227288069265921, 0.9351503843182496, 0.9489602751061679, 0.9642000222377017, 0.9808953744346149, 0.9990534697052595, 1.018659840768688, 1.0396752421586513, 1.062032299264953, 1.0856319801949446, 1.1103398921604126, 1.1359824052096634, 1.162342607683014, 1.1891561000231974, 1.216106636952822, 1.2428216333192121, 1.2688675575899027, 1.2937452520883694, 1.316885247281848, 1.3376431951805385, 1.355295680387167, 1.3690370350469379, 1.3779791342727759, 1.3811663388763558], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.20110986762228406}

10.509702

1

5.375598

[ [ 0.8509137480795981, 0.8509137519932835, 0.8509138949331665, 0.8509149629108752, 0.8509191582518967, 0.8509309064886488, 0.8509576449128133, 0.8510105637885548, 0.8511052807773121, 0.8512624340293524, 0.8515081823704496, 0.8518746029978588, 0.8523999785159838, 0.8531289662017516, 0.8541126432123869, 0.8554084221062113, 0.8570798315863943, 0.8591961578290703, 0.8618319421423148, 0.8650663310365252, 0.8689822750812081, 0.8736655731867741, 0.8792037591896001, 0.8856848278400371, 0.8931957975010636, 0.9018211070643246, 0.9116408447845025, 0.9227288069265921, 0.9351503843182496, 0.9489602751061679, 0.9642000222377017, 0.9808953744346149, 0.9990534697052595, 1.018659840768688, 1.0396752421586513, 1.062032299264953, 1.0856319801949446, 1.1103398921604126, 1.1359824052096634, 1.162342607683014, 1.1891561000231974, 1.216106636952822, 1.2428216333192121, 1.2688675575899027, 1.2937452520883694, 1.316885247281848, 1.3376431951805385, 1.355295680387167, 1.3690370350469379, 1.3779791342727759, 1.3811663388763558 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.4893806934813339, -0.2695585899368875, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.20111

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

DV9qGxQuM9CRYTFF8b82Z8W

null

false

null

false

DVn6pDEckNFPdAov7i3ZZ6x

D2k7HFG9XuioWEgQwHpvGCp

{"qi": 0.004802443461207169, "vacuum_well": -0.857026280535199, "aspect_ratio": 5.495965554919491, "max_elongation": 7.420211199519035, "average_triangularity": 0.036977594065060154, "axis_magnetic_mirror_ratio": 0.815251027869806, "edge_magnetic_mirror_ratio": 0.9395480276831089, "aspect_ratio_over_edge_rotational_transform": 11.151174864931667, "flux_compression_in_regions_of_bad_curvature": 1.061136784624865, "axis_rotational_transform_over_n_field_periods": 0.31762222048659494, "edge_rotational_transform_over_n_field_periods": 0.24642988839692853, "minimum_normalized_magnetic_gradient_scale_length": 0.8756632660150807}

5.495966

11.151175

-0.234053

0.815251

0.317622

0.939548

0.24643

1.061137

7.420211

0.875663

0.004802

-0.857026

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.059941643650340236,-0.04591993321794492,-0.043218102588292,0.030206545233686433],[0.005602539002713862,-0.004175591369263576,0.0736801941032208,-0.039186579018019224,0.11981152595670676,-0.012070888485939683,0.004066934202869854,0.006490661389760755,-0.004622176164971714],[-0.006216532529940184,0.004139835535433732,-0.020208866996628404,0.006398875056321075,-0.0021689460237408753,0.02521041680578517,-0.022528661059230473,0.01370928091011244,-0.00778831413173142],[0.00030084145411433006,-0.0027110488414911057,0.00217967221231032,-0.005804734122853038,0.005272120806807043,-0.0033558656345191373,0.0010312824865542983,-0.0010100681821615086,-0.00003426362138985565],[0.00009155545478864224,-0.0005882434332128665,0.0011610201713506056,-0.0022223118682350137,0.002334203470855287,-0.001887591920552067,0.0014718633438911013,-0.0007091888788451297,-2.011737554013142e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.014377400610486119,0.03993879902817829,-0.0016458546753781238,-0.01131771958852683],[-0.010287871782340178,0.006387708876774836,0.05903042678793748,0.05324549927791275,-0.21572597725018508,0.07103631778105875,-0.04927179795284991,0.03865484575991472,-0.008691377650828091],[-0.0010903094187526986,-0.009133289024689214,0.03481477029489037,-0.032848274724745524,0.009834412242602342,-0.008285380922284114,0.010200651141425222,-0.008629798521655048,0.004906105686156332],[-0.002341823309788023,0.002800700391935159,-0.0006236359330777735,0.0008896224280170223,-0.00032648667919698535,0.00027862075493361566,-0.004046756081005246,0.00521881986747063,-0.0018030940412493799],[-0.0005765786305766589,0.00009562028584348629,0.000015245656298296522,0.00019514799148381983,0.00013010784805896503,0.0001821499944521501,0.00007274097684815365,-0.0003155509933167566,0.0003127818011758052]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.059941643650340236, -0.04591993321794492, -0.043218102588292, 0.030206545233686433 ], [ 0.005602539002713862, -0.004175591369263576, 0.0736801941032208, -0.039186579018019224, 0.11981152595670676, -0.012070888485939683, 0.004066934202869854, 0.006490661389760755, -0.004622176164971714 ], [ -0.006216532529940184, 0.004139835535433732, -0.020208866996628404, 0.006398875056321075, -0.0021689460237408753, 0.02521041680578517, -0.022528661059230473, 0.01370928091011244, -0.00778831413173142 ], [ 0.00030084145411433006, -0.0027110488414911057, 0.00217967221231032, -0.005804734122853038, 0.005272120806807043, -0.0033558656345191373, 0.0010312824865542983, -0.0010100681821615086, -0.00003426362138985565 ], [ 0.00009155545478864224, -0.0005882434332128665, 0.0011610201713506056, -0.0022223118682350137, 0.002334203470855287, -0.001887591920552067, 0.0014718633438911013, -0.0007091888788451297, -0.000002011737554013142 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.014377400610486119, 0.03993879902817829, -0.0016458546753781238, -0.01131771958852683 ], [ -0.010287871782340178, 0.006387708876774836, 0.05903042678793748, 0.05324549927791275, -0.21572597725018508, 0.07103631778105875, -0.04927179795284991, 0.03865484575991472, -0.008691377650828091 ], [ -0.0010903094187526986, -0.009133289024689214, 0.03481477029489037, -0.032848274724745524, 0.009834412242602342, -0.008285380922284114, 0.010200651141425222, -0.008629798521655048, 0.004906105686156332 ], [ -0.002341823309788023, 0.002800700391935159, -0.0006236359330777735, 0.0008896224280170223, -0.00032648667919698535, 0.00027862075493361566, -0.004046756081005246, 0.00521881986747063, -0.0018030940412493799 ], [ -0.0005765786305766589, 0.00009562028584348629, 0.000015245656298296522, 0.00019514799148381983, 0.00013010784805896503, 0.0001821499944521501, 0.00007274097684815365, -0.0003155509933167566, 0.0003127818011758052 ] ]

DQ3GNDeoRNakgK6FTtheD6T

{"aspect_ratio": 5.4542520771681895, "major_radius": 1.0, "max_elongation": 5.668743919693934, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.11983164451219123, -0.2849814371534254, 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": [[0.6762119714029708, 0.6765631779414928, 0.6783929161252233, 0.6823878956600066, 0.6888872629178012, 0.6980128417949822, 0.709734682922534, 0.7239141802649909, 0.7403355107508803, 0.7587297743165566, 0.7787940479301497, 0.8002066378624709, 0.8226393514922296, 0.8457673537963074, 0.8692770203304555, 0.8928721008120075, 0.916278441950592, 0.9392474724157165, 0.9615586196810311, 0.9830208037134642, 1.0034731334529639, 1.0227849170628818, 1.0408550848974454, 1.0576111142632065, 1.0730075368080487, 1.0870241023692835, 1.0996636670702196, 1.1109498681628218, 1.1209246434136113, 1.1296456485979665, 1.1371836228076921, 1.1436197477104226, 1.1490430435632986, 1.1535478416236207, 1.1572313695691125, 1.160191483597944, 1.1625245779842663, 1.1643236999796767, 1.1656768950342726, 1.1666658043182059, 1.1673645334041887, 1.167838807659907, 1.1681454263150508, 1.1683320232001115, 1.168437137645717, 1.1684905937455672, 1.1685141797454652, 1.1685226110765219, 1.1685247492726931, 1.1685250320234817, 1.1685250395424724], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5313718842199471}

5.454252

1

5.668744

[ [ 0.6762119714029708, 0.6765631779414928, 0.6783929161252233, 0.6823878956600066, 0.6888872629178012, 0.6980128417949822, 0.709734682922534, 0.7239141802649909, 0.7403355107508803, 0.7587297743165566, 0.7787940479301497, 0.8002066378624709, 0.8226393514922296, 0.8457673537963074, 0.8692770203304555, 0.8928721008120075, 0.916278441950592, 0.9392474724157165, 0.9615586196810311, 0.9830208037134642, 1.0034731334529639, 1.0227849170628818, 1.0408550848974454, 1.0576111142632065, 1.0730075368080487, 1.0870241023692835, 1.0996636670702196, 1.1109498681628218, 1.1209246434136113, 1.1296456485979665, 1.1371836228076921, 1.1436197477104226, 1.1490430435632986, 1.1535478416236207, 1.1572313695691125, 1.160191483597944, 1.1625245779842663, 1.1643236999796767, 1.1656768950342726, 1.1666658043182059, 1.1673645334041887, 1.167838807659907, 1.1681454263150508, 1.1683320232001115, 1.168437137645717, 1.1684905937455672, 1.1685141797454652, 1.1685226110765219, 1.1685247492726931, 1.1685250320234817, 1.1685250395424724 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.11983164451219123, -0.2849814371534254, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.531372

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

DMvWKaWspoMm7FSan3HcAFY

null

false

null

false

DB2i96j7GE4sSusGKUWkjtr

D3T3DHFNp2ymkbfEXqJbhcU

{"qi": 0.0022508046648272804, "vacuum_well": -0.10807859364338811, "aspect_ratio": 9.680559026625538, "max_elongation": 5.779889767400148, "average_triangularity": -0.42129370566018665, "axis_magnetic_mirror_ratio": 0.2711275668204213, "edge_magnetic_mirror_ratio": 0.2976649105304181, "aspect_ratio_over_edge_rotational_transform": 14.831721948497446, "flux_compression_in_regions_of_bad_curvature": 1.5891758079588802, "axis_rotational_transform_over_n_field_periods": 0.2093271322428721, "edge_rotational_transform_over_n_field_periods": 0.21756428687648646, "minimum_normalized_magnetic_gradient_scale_length": 8.477325270569198}

9.680559

14.831722

-0.66325

0.271128

0.209327

0.297665

0.217564

1.589176

5.77989

8.477325

0.002251

-0.108079

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.030561144048546277,-0.015773871410229984,-0.0015007692891657164,-0.00039338547576335146],[-0.0003155654492208433,0.0006828425431685469,-0.005774848141526258,-0.07947463575511901,0.10416290803400613,0.017464593274780532,0.004944811378770207,-0.0007473163669085802,-0.00031997201801752385],[0.0005025868323995346,-0.0026818317060284674,0.001116832583670452,0.0018701879813237511,-0.02138231523674397,0.014375534783766096,-0.0009703522276954251,0.0006052761368116619,-0.0000803028058124581],[0.00027653362042475896,0.0009607094385297869,0.0014812686807219632,-0.0031340190942333508,0.0010767117867869808,-0.001998012504089958,0.0010304659496738876,-0.0002485279660685544,-7.534834206234539e-6],[0.00018748460592035916,-0.00032939353158781975,0.000015195742988794071,0.00023777752582392455,-0.00018426662791937685,-0.0001567258849767398,-0.00008137414130425038,0.00011906799340881216,-0.00003859821842944525]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.16292204574453933,0.0017345858827396267,0.002704824626041679,0.0003753568432351539],[-0.0014681270167578196,-0.0011754219616337922,0.0133437739167395,-0.06414138003341034,-0.15813304822030586,0.013846306905200247,-0.0015140935850553386,0.0015442290438335562,-0.00005937041801809366],[0.001061232967965322,-0.00004997570973828394,-0.010649646820901325,0.02414934747784858,-0.018277075340761697,-0.013379589150881692,0.003324358475817673,-0.0003963828454561111,0.00010830801467169311],[-0.0004271929440118517,0.002603178090298609,0.0010905907806527853,0.0030293269800778858,-0.0023692269338076145,0.0007185900513562902,-0.0010268244494456426,0.0006089720213109269,-0.00001565672555214724],[9.122469666051871e-8,0.0003220232861247856,-0.0004184588007189563,-0.00029808924407636716,0.0005425672398689236,0.00007951180051046883,0.00008125501219720719,2.232948919947273e-6,0.00007049303042414108]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.030561144048546277, -0.015773871410229984, -0.0015007692891657164, -0.00039338547576335146 ], [ -0.0003155654492208433, 0.0006828425431685469, -0.005774848141526258, -0.07947463575511901, 0.10416290803400613, 0.017464593274780532, 0.004944811378770207, -0.0007473163669085802, -0.00031997201801752385 ], [ 0.0005025868323995346, -0.0026818317060284674, 0.001116832583670452, 0.0018701879813237511, -0.02138231523674397, 0.014375534783766096, -0.0009703522276954251, 0.0006052761368116619, -0.0000803028058124581 ], [ 0.00027653362042475896, 0.0009607094385297869, 0.0014812686807219632, -0.0031340190942333508, 0.0010767117867869808, -0.001998012504089958, 0.0010304659496738876, -0.0002485279660685544, -0.000007534834206234539 ], [ 0.00018748460592035916, -0.00032939353158781975, 0.000015195742988794071, 0.00023777752582392455, -0.00018426662791937685, -0.0001567258849767398, -0.00008137414130425038, 0.00011906799340881216, -0.00003859821842944525 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.16292204574453933, 0.0017345858827396267, 0.002704824626041679, 0.0003753568432351539 ], [ -0.0014681270167578196, -0.0011754219616337922, 0.0133437739167395, -0.06414138003341034, -0.15813304822030586, 0.013846306905200247, -0.0015140935850553386, 0.0015442290438335562, -0.00005937041801809366 ], [ 0.001061232967965322, -0.00004997570973828394, -0.010649646820901325, 0.02414934747784858, -0.018277075340761697, -0.013379589150881692, 0.003324358475817673, -0.0003963828454561111, 0.00010830801467169311 ], [ -0.0004271929440118517, 0.002603178090298609, 0.0010905907806527853, 0.0030293269800778858, -0.0023692269338076145, 0.0007185900513562902, -0.0010268244494456426, 0.0006089720213109269, -0.00001565672555214724 ], [ 9.122469666051871e-8, 0.0003220232861247856, -0.0004184588007189563, -0.00029808924407636716, 0.0005425672398689236, 0.00007951180051046883, 0.00008125501219720719, 0.000002232948919947273, 0.00007049303042414108 ] ]

DBZirXRwi6McwqbUSjCeuJ7

{"aspect_ratio": 10.06558470353419, "major_radius": 1.0, "max_elongation": 5.723381252652755, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.12323595359664573, -0.06714966509242831, 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": [[0.7521740197899264, 0.7521741008411645, 0.7521765431403722, 0.75219247200469, 0.7522485465543336, 0.7523913573723038, 0.7526896542877125, 0.7532346723423962, 0.7541388328168925, 0.755533092694011, 0.7575632071727336, 0.7603851582562843, 0.7641599891190495, 0.7690482694739473, 0.7752044018387048, 0.7827709626352903, 0.791873255580244, 0.8026142379215777, 0.8150699628102771, 0.8292856635034253, 0.8452725872113929, 0.8630056682442275, 0.8824221116962728, 0.9034209402417104, 0.9258635377010989, 0.9495752038800461, 0.9743477157720396, 0.9999428705506193, 1.0260969658399683, 1.0525261525318093, 1.0789325748894143, 1.1050111918199068, 1.1304571519699094, 1.1549735736640447, 1.1782795586061106, 1.2001182456289743, 1.220264687520633, 1.2385333099514422, 1.2547846866221488, 1.2689313387272638, 1.2809422393806955, 1.2908456743455767, 1.2987300786022113, 1.3047424329795594, 1.3090837646507714, 1.3120012469759532, 1.313776332832135, 1.314708270749319, 1.315092220575186, 1.3151909360181915, 1.3151983296660297], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5906818802168848}

10.065585

1

5.723381

[ [ 0.7521740197899264, 0.7521741008411645, 0.7521765431403722, 0.75219247200469, 0.7522485465543336, 0.7523913573723038, 0.7526896542877125, 0.7532346723423962, 0.7541388328168925, 0.755533092694011, 0.7575632071727336, 0.7603851582562843, 0.7641599891190495, 0.7690482694739473, 0.7752044018387048, 0.7827709626352903, 0.791873255580244, 0.8026142379215777, 0.8150699628102771, 0.8292856635034253, 0.8452725872113929, 0.8630056682442275, 0.8824221116962728, 0.9034209402417104, 0.9258635377010989, 0.9495752038800461, 0.9743477157720396, 0.9999428705506193, 1.0260969658399683, 1.0525261525318093, 1.0789325748894143, 1.1050111918199068, 1.1304571519699094, 1.1549735736640447, 1.1782795586061106, 1.2001182456289743, 1.220264687520633, 1.2385333099514422, 1.2547846866221488, 1.2689313387272638, 1.2809422393806955, 1.2908456743455767, 1.2987300786022113, 1.3047424329795594, 1.3090837646507714, 1.3120012469759532, 1.313776332832135, 1.314708270749319, 1.315092220575186, 1.3151909360181915, 1.3151983296660297 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.12323595359664573, -0.06714966509242831, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.590682

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

DRyCDTf2PM89LaEPhydqiD6

null

false

null

false

DNxPR6AMj2CSFfWrkLKVqJg

Dgc8MbbGnc4zCABZUWLnDnV

{"qi": 0.046759665581733986, "vacuum_well": -0.23846522546387733, "aspect_ratio": 7.122129788629312, "max_elongation": 2.713239074935993, "average_triangularity": -0.08841806411172948, "axis_magnetic_mirror_ratio": 0.5637043804528872, "edge_magnetic_mirror_ratio": 0.9417294072356985, "aspect_ratio_over_edge_rotational_transform": 9.278206357407331, "flux_compression_in_regions_of_bad_curvature": 0.8808069691690524, "axis_rotational_transform_over_n_field_periods": 0.18572225373610812, "edge_rotational_transform_over_n_field_periods": 0.15352384963809956, "minimum_normalized_magnetic_gradient_scale_length": 3.171717946839707}

7.12213

9.278206

-0.226784

0.563704

0.185722

0.941729

0.153524

0.880807

2.713239

3.171718

0.04676

-0.238465

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.21258334268676515,-0.011618317696234151,-0.012841711035879184,-0.00003843869852185452],[0.0005719561129766018,-0.00034129417348803797,0.05165748821107573,-0.0930917644911535,0.11930627163760986,0.01290958280832604,-0.011882859359121017,0.0007460606772237051,0.0010172360922004956],[0.0007940021931138852,-0.00035519150807571565,-0.016162196860937422,0.005749555744856307,0.000341694447997365,0.0022766365103415523,-0.0012114631792780623,-0.0018769091826376818,-0.0009910858234531649],[-0.0011771810388162501,0.0022150359254057587,0.002528920238206247,-0.0009281849661284783,0.0006998695422909748,0.00027913326120380006,-0.0008593679912660551,-0.0007237248565136632,0.00014408422254554454],[0.0004912452239660094,-0.0007312680792089723,-0.0006515685846416464,0.0013314291156762935,-0.00013725407740562844,-0.0006972637811803548,-0.00019960075078485087,0.00004598554182853691,4.854851358476465e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03911728780961167,0.009037005266983863,0.0037963075734878506,0.000980830014058449],[-0.0009672923821927503,0.012394754424106712,0.00009186635171455902,0.028206029619288194,-0.11756502605987312,-0.03375980540260669,0.0007058344112137094,0.003094575505084958,0.00014825979159119144],[0.002229427659881443,-0.006844416216446122,-0.004957624726592011,0.0026370008699830453,-0.0008402788096770749,-0.011264332607782656,0.0009437478108740302,0.0021928293119708804,0.0008845794781813127],[-0.0018893265958459385,0.004608860073539543,-0.00039830213977661813,-0.0010879723746250883,-0.0011297538316646348,0.0005228499042569237,-0.00021639412383659654,0.00002769370147115164,-0.0002411683743034573],[0.0006205923345818004,-0.0015313065590944331,0.0012505252551029784,-0.00023783045954609103,-0.0009169755160996149,0.0001513231533764929,0.000038532542973220506,-0.00018427894010765802,-7.858984409261915e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.21258334268676515, -0.011618317696234151, -0.012841711035879184, -0.00003843869852185452 ], [ 0.0005719561129766018, -0.00034129417348803797, 0.05165748821107573, -0.0930917644911535, 0.11930627163760986, 0.01290958280832604, -0.011882859359121017, 0.0007460606772237051, 0.0010172360922004956 ], [ 0.0007940021931138852, -0.00035519150807571565, -0.016162196860937422, 0.005749555744856307, 0.000341694447997365, 0.0022766365103415523, -0.0012114631792780623, -0.0018769091826376818, -0.0009910858234531649 ], [ -0.0011771810388162501, 0.0022150359254057587, 0.002528920238206247, -0.0009281849661284783, 0.0006998695422909748, 0.00027913326120380006, -0.0008593679912660551, -0.0007237248565136632, 0.00014408422254554454 ], [ 0.0004912452239660094, -0.0007312680792089723, -0.0006515685846416464, 0.0013314291156762935, -0.00013725407740562844, -0.0006972637811803548, -0.00019960075078485087, 0.00004598554182853691, 0.000004854851358476465 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03911728780961167, 0.009037005266983863, 0.0037963075734878506, 0.000980830014058449 ], [ -0.0009672923821927503, 0.012394754424106712, 0.00009186635171455902, 0.028206029619288194, -0.11756502605987312, -0.03375980540260669, 0.0007058344112137094, 0.003094575505084958, 0.00014825979159119144 ], [ 0.002229427659881443, -0.006844416216446122, -0.004957624726592011, 0.0026370008699830453, -0.0008402788096770749, -0.011264332607782656, 0.0009437478108740302, 0.0021928293119708804, 0.0008845794781813127 ], [ -0.0018893265958459385, 0.004608860073539543, -0.00039830213977661813, -0.0010879723746250883, -0.0011297538316646348, 0.0005228499042569237, -0.00021639412383659654, 0.00002769370147115164, -0.0002411683743034573 ], [ 0.0006205923345818004, -0.0015313065590944331, 0.0012505252551029784, -0.00023783045954609103, -0.0009169755160996149, 0.0001513231533764929, 0.000038532542973220506, -0.00018427894010765802, -0.000007858984409261915 ] ]

DRMi2QYrtoumqsRXGcmhhWW

{"aspect_ratio": 5.673062424922607, "major_radius": 1.0, "max_elongation": 4.8260025352774445, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.19404355469306667, 0.269612164339945, 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": [[0.7889081376751167, 0.7890154748847193, 0.7896379921434098, 0.7911012541809235, 0.7936235447437662, 0.7973452897840037, 0.8023451832925093, 0.808651618294164, 0.8162516661331, 0.8250985166316092, 0.8351178353659631, 0.8462132976722869, 0.8582714612004423, 0.8711660850365208, 0.8847619715031695, 0.8989183866730542, 0.9134921023951339, 0.928340093564772, 0.943321917954472, 0.958301801263477, 0.9731504465855536, 0.9877465848788259, 1.0019782810145448, 1.0157440084240923, 1.0289535041453428, 1.0415284151132023, 1.0534027457894233, 1.064523116643687, 1.0748488425526772, 1.0843518398556653, 1.0930163705795684, 1.100838632213947, 1.1078262013716569, 1.1139973397123146, 1.1193801706355866, 1.1240117354758645, 1.1279369382602173, 1.1312073885447476, 1.133880152445934, 1.1360164227700107, 1.1376801201686533, 1.1389364385930008, 1.1398503501015356, 1.1404850864912013, 1.1409006185778086, 1.1411521587916336, 1.1412887200774193, 1.1413517759192306, 1.1413740872835707, 1.1413788051493707, 1.1413790714411003], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.0675604897916362}

5.673062

1

4.826003

[ [ 0.7889081376751167, 0.7890154748847193, 0.7896379921434098, 0.7911012541809235, 0.7936235447437662, 0.7973452897840037, 0.8023451832925093, 0.808651618294164, 0.8162516661331, 0.8250985166316092, 0.8351178353659631, 0.8462132976722869, 0.8582714612004423, 0.8711660850365208, 0.8847619715031695, 0.8989183866730542, 0.9134921023951339, 0.928340093564772, 0.943321917954472, 0.958301801263477, 0.9731504465855536, 0.9877465848788259, 1.0019782810145448, 1.0157440084240923, 1.0289535041453428, 1.0415284151132023, 1.0534027457894233, 1.064523116643687, 1.0748488425526772, 1.0843518398556653, 1.0930163705795684, 1.100838632213947, 1.1078262013716569, 1.1139973397123146, 1.1193801706355866, 1.1240117354758645, 1.1279369382602173, 1.1312073885447476, 1.133880152445934, 1.1360164227700107, 1.1376801201686533, 1.1389364385930008, 1.1398503501015356, 1.1404850864912013, 1.1409006185778086, 1.1411521587916336, 1.1412887200774193, 1.1413517759192306, 1.1413740872835707, 1.1413788051493707, 1.1413790714411003 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.19404355469306667, 0.269612164339945, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.06756

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

D7sDEvGbJtzBkeWBkXD8SYg

null

false

null

false

DXrBwCuWh6TQYizAZpJ9ssw

D9mVZanzk8gBBcTbGoXNCpo

{"qi": 0.0030422015555390943, "vacuum_well": -0.052299201606098036, "aspect_ratio": 8.745274306978322, "max_elongation": 6.178240463604093, "average_triangularity": 0.20069119071255925, "axis_magnetic_mirror_ratio": 0.2683794774525584, "edge_magnetic_mirror_ratio": 0.3247774611133537, "aspect_ratio_over_edge_rotational_transform": 7.729914945936771, "flux_compression_in_regions_of_bad_curvature": 1.6549191129404848, "axis_rotational_transform_over_n_field_periods": 0.29418309913330565, "edge_rotational_transform_over_n_field_periods": 0.28283863302969703, "minimum_normalized_magnetic_gradient_scale_length": 6.693948976651883}

8.745274

7.729915

0.221222

0.268379

0.294183

0.324777

0.282839

1.654919

6.17824

6.693949

0.003042

-0.052299

{"r_cos":[[0.0,0.0,0.0,0.0,0.99532491288658,-0.02081968443152604,-0.015365125654894958,0.0035475503780430387,0.00003289444743336239],[-0.0003298580894167324,-0.005273407546264836,-0.01756083653227384,-0.07173445584688884,0.18030857565687614,-0.030056034384990056,-0.004003302036138488,0.0009636873844655852,-0.00015950785725064192],[-0.0003740849359815298,0.0010278966172472524,0.0050234468615958025,0.0293927605768574,-0.030727602056019473,0.005486182217181945,0.0040408664540542635,-0.0007365531529722326,0.000013473854932117597],[0.00020230716880567315,-0.000047244679464808226,0.0002517860524021101,-0.0014310248723381628,0.0008246030089708521,0.0012278811833318015,-0.0009270534854767189,0.00029891325392119347,-0.000027754840086658514],[-9.303877067961432e-6,-0.00011367503773324349,0.000138910379510262,-0.00022910387139575637,0.00017628724418983048,-0.00011740140392550984,0.00005085630842206196,-0.00002350532949596285,0.000039349735938962933]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14708103920332813,0.0129405790264921,-0.0032966898556128473,-0.00041529614471690936],[-0.0007522300740224093,-0.005049415957728725,-0.018536519389847052,-0.09088762043915882,-0.09644866693955602,0.0401517036811124,-0.007507463309022808,0.0017480232568837838,1.70064959825484e-6],[0.000646913707943408,-0.000278069713393492,0.0020076168110691106,-0.006534817697505681,0.0036499614748347485,-0.0019023007147915385,-0.0016331582299137092,0.00015111438390729483,-0.00007296909431692069],[-0.00036804328993378496,-0.0004432306559450613,-0.004873569835894941,0.00295189135677736,0.002938795853309988,-0.003095037954342663,0.0004899774911044374,0.00010374187033533735,-0.0000795225155373223],[0.000027635178546542597,-0.00023297747530657677,0.0005199400719809769,-0.00044331855037337627,-0.0002892661914760668,0.00024947317586403064,0.00017878213466878862,-0.000188874250476201,0.000011677235578661698]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.99532491288658, -0.02081968443152604, -0.015365125654894958, 0.0035475503780430387, 0.00003289444743336239 ], [ -0.0003298580894167324, -0.005273407546264836, -0.01756083653227384, -0.07173445584688884, 0.18030857565687614, -0.030056034384990056, -0.004003302036138488, 0.0009636873844655852, -0.00015950785725064192 ], [ -0.0003740849359815298, 0.0010278966172472524, 0.0050234468615958025, 0.0293927605768574, -0.030727602056019473, 0.005486182217181945, 0.0040408664540542635, -0.0007365531529722326, 0.000013473854932117597 ], [ 0.00020230716880567315, -0.000047244679464808226, 0.0002517860524021101, -0.0014310248723381628, 0.0008246030089708521, 0.0012278811833318015, -0.0009270534854767189, 0.00029891325392119347, -0.000027754840086658514 ], [ -0.000009303877067961432, -0.00011367503773324349, 0.000138910379510262, -0.00022910387139575637, 0.00017628724418983048, -0.00011740140392550984, 0.00005085630842206196, -0.00002350532949596285, 0.000039349735938962933 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14708103920332813, 0.0129405790264921, -0.0032966898556128473, -0.00041529614471690936 ], [ -0.0007522300740224093, -0.005049415957728725, -0.018536519389847052, -0.09088762043915882, -0.09644866693955602, 0.0401517036811124, -0.007507463309022808, 0.0017480232568837838, 0.00000170064959825484 ], [ 0.000646913707943408, -0.000278069713393492, 0.0020076168110691106, -0.006534817697505681, 0.0036499614748347485, -0.0019023007147915385, -0.0016331582299137092, 0.00015111438390729483, -0.00007296909431692069 ], [ -0.00036804328993378496, -0.0004432306559450613, -0.004873569835894941, 0.00295189135677736, 0.002938795853309988, -0.003095037954342663, 0.0004899774911044374, 0.00010374187033533735, -0.0000795225155373223 ], [ 0.000027635178546542597, -0.00023297747530657677, 0.0005199400719809769, -0.00044331855037337627, -0.0002892661914760668, 0.00024947317586403064, 0.00017878213466878862, -0.000188874250476201, 0.000011677235578661698 ] ]

DjrCtQrLL793Zf2KZvyWdBy

{"aspect_ratio": 8.426750582714792, "major_radius": 1.0, "max_elongation": 5.770526341290898, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.1552556326565315, 0.15916275912032038, 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": [[0.6905515451723856, 0.6905564624493213, 0.6906355765419415, 0.6909783682408754, 0.6918698755309503, 0.6936503289404725, 0.6966769995859233, 0.7012916161003817, 0.7077943817354017, 0.7164246977032, 0.7273482456600405, 0.7406498440913165, 0.7563313702179864, 0.7743139839648756, 0.7944438785296994, 0.8165007985778687, 0.8402086029085303, 0.8652471975082742, 0.8912652229908522, 0.9178929444396033, 0.9447548593176557, 0.9714816086078383, 0.997720846278229, 1.0231467913969248, 1.0474682547963916, 1.0704349973193852, 1.091842338686799, 1.1115339943255793, 1.1294031715669122, 1.1453920060142324, 1.1594894631772628, 1.171727869301079, 1.1821782683486137, 1.1909448290080302, 1.1981585461016104, 1.203970494596836, 1.2085449013042147, 1.2120522990427534, 1.214663020323858, 1.2165412722147835, 1.2178400107629042, 1.2186968019605546, 1.2192308164699717, 1.2195410569606877, 1.2197058596692707, 1.219783645372079, 1.2198148190087048, 1.2198246312538545, 1.2198267187769651, 1.2198269317481993, 1.219826935397916], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.194531826897002}

8.426751

1

5.770526

[ [ 0.6905515451723856, 0.6905564624493213, 0.6906355765419415, 0.6909783682408754, 0.6918698755309503, 0.6936503289404725, 0.6966769995859233, 0.7012916161003817, 0.7077943817354017, 0.7164246977032, 0.7273482456600405, 0.7406498440913165, 0.7563313702179864, 0.7743139839648756, 0.7944438785296994, 0.8165007985778687, 0.8402086029085303, 0.8652471975082742, 0.8912652229908522, 0.9178929444396033, 0.9447548593176557, 0.9714816086078383, 0.997720846278229, 1.0231467913969248, 1.0474682547963916, 1.0704349973193852, 1.091842338686799, 1.1115339943255793, 1.1294031715669122, 1.1453920060142324, 1.1594894631772628, 1.171727869301079, 1.1821782683486137, 1.1909448290080302, 1.1981585461016104, 1.203970494596836, 1.2085449013042147, 1.2120522990427534, 1.214663020323858, 1.2165412722147835, 1.2178400107629042, 1.2186968019605546, 1.2192308164699717, 1.2195410569606877, 1.2197058596692707, 1.219783645372079, 1.2198148190087048, 1.2198246312538545, 1.2198267187769651, 1.2198269317481993, 1.219826935397916 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.1552556326565315, 0.15916275912032038, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.194532

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

DJFXg8r7yD6xzSE2uUtw5ST

null

false

null

false

De7kxmGm6xKye8zSDF4koJc

DbSZcH6tqcsKSy87b7oaiBD

{"qi": 0.0046208537540850985, "vacuum_well": 0.07650018896023612, "aspect_ratio": 9.268949847243396, "max_elongation": 5.966008705328172, "average_triangularity": 0.5395096531609288, "axis_magnetic_mirror_ratio": 0.27186031850937753, "edge_magnetic_mirror_ratio": 0.3415537984935345, "aspect_ratio_over_edge_rotational_transform": 12.354126847153713, "flux_compression_in_regions_of_bad_curvature": 0.9312251413865439, "axis_rotational_transform_over_n_field_periods": 0.26201463676802034, "edge_rotational_transform_over_n_field_periods": 0.37513577292509687, "minimum_normalized_magnetic_gradient_scale_length": 4.066129689242215}

9.26895

12.354127

0.555936

0.27186

0.262015

0.341554

0.375136

0.931225

5.966009

4.06613

0.004621

0.0765

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.06640822566011347,-0.08310631159298708,-0.009076112748816485,0.007508747855828902],[-0.002313804551429187,0.0016595761654561796,0.05280958603539111,-0.015792710186449177,0.09262210048366389,-0.014235340500192744,-0.015580875172631764,0.0015941129573876416,0.0010587369745129133],[0.014506652597043278,-0.01190335571423307,-0.016447870247897546,0.0077711486034747305,0.031603324356554774,-0.0011751968837285412,-0.005621677666317991,0.000013751427168307018,0.001213145730934193],[0.0032640770703847286,-0.002383719764684525,-0.002133893513077981,-0.0033573625454567917,0.003018359755708403,-0.0009256573242435392,0.002558827168770259,-2.865036070838706e-6,-0.00027657583116324136],[0.0003533859915854843,0.0005383986632344509,0.0003808267291705193,-0.0004860680792971913,-0.00025706706310402774,0.0004130701711776933,0.0002989458056876759,-0.00003384657693878096,-0.00002221181188212477]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04118433914654305,0.005888593748546107,0.005611002392621619,-0.0026786329752685953],[0.0018467864541767173,0.0015547260849779528,0.05429854156326359,-0.00627613265428366,-0.15391221140277472,0.012490780151416192,0.006779851787242497,-0.00022700923178574795,-0.0017186930088822063],[0.012734021545108916,-0.008925886397591034,0.018537752856755824,0.0014963000900058828,0.00018730050293006028,-0.0011604653814149177,0.002757694885079272,-0.0005729839126686776,-0.0006647521025562736],[0.001751922640908574,-0.000023350005304508845,-0.0016991858076791564,0.0028959527360793214,-0.004087417848540478,0.0010340567534785484,-0.002238517830158928,0.0001407961574333586,0.00002904047547325336],[-0.00009707061356166207,0.00011533716472809667,-0.0005426289743960087,0.00016811379297086118,-0.00006455544069584786,-0.0003901785542746786,-0.00011403491916812548,-3.775762602693915e-6,0.00007931643829839112]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.06640822566011347, -0.08310631159298708, -0.009076112748816485, 0.007508747855828902 ], [ -0.002313804551429187, 0.0016595761654561796, 0.05280958603539111, -0.015792710186449177, 0.09262210048366389, -0.014235340500192744, -0.015580875172631764, 0.0015941129573876416, 0.0010587369745129133 ], [ 0.014506652597043278, -0.01190335571423307, -0.016447870247897546, 0.0077711486034747305, 0.031603324356554774, -0.0011751968837285412, -0.005621677666317991, 0.000013751427168307018, 0.001213145730934193 ], [ 0.0032640770703847286, -0.002383719764684525, -0.002133893513077981, -0.0033573625454567917, 0.003018359755708403, -0.0009256573242435392, 0.002558827168770259, -0.000002865036070838706, -0.00027657583116324136 ], [ 0.0003533859915854843, 0.0005383986632344509, 0.0003808267291705193, -0.0004860680792971913, -0.00025706706310402774, 0.0004130701711776933, 0.0002989458056876759, -0.00003384657693878096, -0.00002221181188212477 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04118433914654305, 0.005888593748546107, 0.005611002392621619, -0.0026786329752685953 ], [ 0.0018467864541767173, 0.0015547260849779528, 0.05429854156326359, -0.00627613265428366, -0.15391221140277472, 0.012490780151416192, 0.006779851787242497, -0.00022700923178574795, -0.0017186930088822063 ], [ 0.012734021545108916, -0.008925886397591034, 0.018537752856755824, 0.0014963000900058828, 0.00018730050293006028, -0.0011604653814149177, 0.002757694885079272, -0.0005729839126686776, -0.0006647521025562736 ], [ 0.001751922640908574, -0.000023350005304508845, -0.0016991858076791564, 0.0028959527360793214, -0.004087417848540478, 0.0010340567534785484, -0.002238517830158928, 0.0001407961574333586, 0.00002904047547325336 ], [ -0.00009707061356166207, 0.00011533716472809667, -0.0005426289743960087, 0.00016811379297086118, -0.00006455544069584786, -0.0003901785542746786, -0.00011403491916812548, -0.000003775762602693915, 0.00007931643829839112 ] ]

DfeS74fHE9DhsBXFtbxKiPR

{"aspect_ratio": 9.178556132140807, "major_radius": 1.0, "max_elongation": 5.720346186442702, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.4563992905304952, 0.26455217443904144, 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": [[0.7160976418972822, 0.7160985553257345, 0.7161181335726527, 0.7162202842434525, 0.7165246909615061, 0.7172022281687798, 0.7184639098414659, 0.7205467598101664, 0.7236986114225777, 0.7281631512516522, 0.734166093667096, 0.741903079014183, 0.7515296728052194, 0.7631536793832794, 0.7768298557430665, 0.7925570103682288, 0.8102773921026731, 0.8298782111470644, 0.8511950853623724, 0.8740171680274367, 0.898093686401798, 0.9231416026051082, 0.9488540984074957, 0.974909582681269, 1.0009809237788105, 1.026744618362101, 1.0518896226814225, 1.0761255915091192, 1.0991902934489408, 1.1208559987665159, 1.1409346668509763, 1.1592817945676468, 1.1757988237529378, 1.190434045594166, 1.2031819812841507, 1.2140812617871557, 1.223211074423091, 1.2306862898647242, 1.2366514295978326, 1.2412736804048636, 1.2447352083996852, 1.2472250698416159, 1.2489310584893256, 1.250031868451118, 1.2506899857683416, 1.2510457490890623, 1.2512130363629232, 1.2512770350027385, 1.2512945274965968, 1.2512970524199754, 1.2512971277926017], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5197424474717285}

9.178556

1

5.720346

[ [ 0.7160976418972822, 0.7160985553257345, 0.7161181335726527, 0.7162202842434525, 0.7165246909615061, 0.7172022281687798, 0.7184639098414659, 0.7205467598101664, 0.7236986114225777, 0.7281631512516522, 0.734166093667096, 0.741903079014183, 0.7515296728052194, 0.7631536793832794, 0.7768298557430665, 0.7925570103682288, 0.8102773921026731, 0.8298782111470644, 0.8511950853623724, 0.8740171680274367, 0.898093686401798, 0.9231416026051082, 0.9488540984074957, 0.974909582681269, 1.0009809237788105, 1.026744618362101, 1.0518896226814225, 1.0761255915091192, 1.0991902934489408, 1.1208559987665159, 1.1409346668509763, 1.1592817945676468, 1.1757988237529378, 1.190434045594166, 1.2031819812841507, 1.2140812617871557, 1.223211074423091, 1.2306862898647242, 1.2366514295978326, 1.2412736804048636, 1.2447352083996852, 1.2472250698416159, 1.2489310584893256, 1.250031868451118, 1.2506899857683416, 1.2510457490890623, 1.2512130363629232, 1.2512770350027385, 1.2512945274965968, 1.2512970524199754, 1.2512971277926017 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.4563992905304952, 0.26455217443904144, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.519742

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

DFzEKfQvHmBGyuShKbDXqyo

null

false

null

false

DFVJ5UpQqM86wivTebjA8oK

DWcifrpwc9Ct45vXGkMLCX9

{"qi": 0.002448503391248948, "vacuum_well": -0.13252053386795806, "aspect_ratio": 9.611922516056381, "max_elongation": 6.768914372118439, "average_triangularity": -0.4319770403537711, "axis_magnetic_mirror_ratio": 0.29595219251063215, "edge_magnetic_mirror_ratio": 0.38440825151404645, "aspect_ratio_over_edge_rotational_transform": 25.760038045147414, "flux_compression_in_regions_of_bad_curvature": 1.2083161359117944, "axis_rotational_transform_over_n_field_periods": 0.15341732664207952, "edge_rotational_transform_over_n_field_periods": 0.0932832717406161, "minimum_normalized_magnetic_gradient_scale_length": 4.019943245717362}

9.611923

25.760038

-0.435899

0.295952

0.153417

0.384408

0.093283

1.208316

6.768914

4.019943

0.002449

-0.132521

{"r_cos":[[0.0,0.0,0.0,0.0,0.9968528420964348,-0.04885472663648369,-0.008811296708665546,0.0063512875087498415,-0.0008524322494460113],[-0.0006530062285379872,-0.0029662485342963414,0.003901854068253631,-0.031125336612306483,0.15284778800171775,-0.031848439589969586,-0.008002990204605823,0.0020060222601309802,-0.0002830559130633751],[-0.00038800102638503664,0.0019674053096197996,0.006751031898996491,0.018905901907918993,-0.027640647488532684,0.00012922803046507524,0.0010312395107510415,0.0026925449657717046,-0.0007703177415596471],[-0.000030041815364778515,0.00047771617315655647,0.0011462042503525773,-0.0009684491269936599,0.007550430195450033,-0.004021987159892889,-0.0004177853056060829,0.00007936315466002325,-0.00003864989564426392],[0.00005127400802653313,0.000014246092403411375,0.00043977126779589455,0.0010647294713075081,-0.0006247749852614142,0.0003012826362530892,0.0002827525825050913,-0.00004693698749729818,-0.00006774450596912739]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08973521055163262,0.02676232491775061,-0.004042624742967921,0.00025305287082169446],[0.0013758882108961695,0.00007190919318164689,0.010999002654113323,-0.08307273218409632,-0.08086322998797153,0.08575917885127975,-0.01278276612390795,-0.001403315242789177,0.0004434563357185793],[-0.0005340984440169592,0.0005235118618924326,-0.0021074846264600403,0.00233411626292528,-0.02042946085738334,0.006404027389518979,0.0012791492792795659,-0.0021144865113523603,0.0007214710345322687],[-0.0004567939531248991,-0.0009075033738639183,-0.0005820321315820546,0.00013841310089664368,-0.0036425830327324136,0.003980387592541157,-0.002635823059719519,0.0004876707722627913,0.00011863186963866269],[-0.0002716753685669531,0.00008433338690026163,-0.00036949231338675396,-0.00005604419250946312,-0.0003229547098419752,0.0010398954310632726,-0.00016531106865452005,-0.000388615066036529,0.00014343111434417374]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9968528420964348, -0.04885472663648369, -0.008811296708665546, 0.0063512875087498415, -0.0008524322494460113 ], [ -0.0006530062285379872, -0.0029662485342963414, 0.003901854068253631, -0.031125336612306483, 0.15284778800171775, -0.031848439589969586, -0.008002990204605823, 0.0020060222601309802, -0.0002830559130633751 ], [ -0.00038800102638503664, 0.0019674053096197996, 0.006751031898996491, 0.018905901907918993, -0.027640647488532684, 0.00012922803046507524, 0.0010312395107510415, 0.0026925449657717046, -0.0007703177415596471 ], [ -0.000030041815364778515, 0.00047771617315655647, 0.0011462042503525773, -0.0009684491269936599, 0.007550430195450033, -0.004021987159892889, -0.0004177853056060829, 0.00007936315466002325, -0.00003864989564426392 ], [ 0.00005127400802653313, 0.000014246092403411375, 0.00043977126779589455, 0.0010647294713075081, -0.0006247749852614142, 0.0003012826362530892, 0.0002827525825050913, -0.00004693698749729818, -0.00006774450596912739 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08973521055163262, 0.02676232491775061, -0.004042624742967921, 0.00025305287082169446 ], [ 0.0013758882108961695, 0.00007190919318164689, 0.010999002654113323, -0.08307273218409632, -0.08086322998797153, 0.08575917885127975, -0.01278276612390795, -0.001403315242789177, 0.0004434563357185793 ], [ -0.0005340984440169592, 0.0005235118618924326, -0.0021074846264600403, 0.00233411626292528, -0.02042946085738334, 0.006404027389518979, 0.0012791492792795659, -0.0021144865113523603, 0.0007214710345322687 ], [ -0.0004567939531248991, -0.0009075033738639183, -0.0005820321315820546, 0.00013841310089664368, -0.0036425830327324136, 0.003980387592541157, -0.002635823059719519, 0.0004876707722627913, 0.00011863186963866269 ], [ -0.0002716753685669531, 0.00008433338690026163, -0.00036949231338675396, -0.00005604419250946312, -0.0003229547098419752, 0.0010398954310632726, -0.00016531106865452005, -0.000388615066036529, 0.00014343111434417374 ] ]

D8CPvX2z8YmNyTKNAAZQzeb

{"aspect_ratio": 9.695901332784647, "major_radius": 1.0, "max_elongation": 6.33285147723347, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09864956438945564, -0.17958755569808468, 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": [[0.7528106005632214, 0.7528106397809444, 0.7528117046713667, 0.7528183038408932, 0.7528409520743957, 0.7528980229879924, 0.7530171054807192, 0.7532359367635788, 0.7536029576799462, 0.7541775238850478, 0.7550297998328537, 0.7562403585202899, 0.7578995073753184, 0.7601063589813645, 0.7629676642065277, 0.7665964245820118, 0.771110300349017, 0.7766298304051812, 0.7832764803930004, 0.7911705353619778, 0.8004288537933936, 0.8111625003002948, 0.8234742750119528, 0.8374561585353233, 0.8531866924773608, 0.8707283168414985, 0.8901246872198508, 0.9113979966435575, 0.9345463292981158, 0.9595410761521217, 0.9863244460108456, 1.0148071097570075, 1.044866020805698, 1.0763424613888333, 1.10904037263, 1.1427250370885582, 1.1771221964350553, 1.211917705491757, 1.2467578490451692, 1.281250482761755, 1.3149672093073947, 1.3474468739400904, 1.3782007754277161, 1.4067201659008188, 1.4324869118546255, 1.4549887243073916, 1.473741412360413, 1.4883229026399674, 1.4984296550477387, 1.5039858167369895, 1.5054579770530547], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4668298631801633}

9.695901

1

6.332851

[ [ 0.7528106005632214, 0.7528106397809444, 0.7528117046713667, 0.7528183038408932, 0.7528409520743957, 0.7528980229879924, 0.7530171054807192, 0.7532359367635788, 0.7536029576799462, 0.7541775238850478, 0.7550297998328537, 0.7562403585202899, 0.7578995073753184, 0.7601063589813645, 0.7629676642065277, 0.7665964245820118, 0.771110300349017, 0.7766298304051812, 0.7832764803930004, 0.7911705353619778, 0.8004288537933936, 0.8111625003002948, 0.8234742750119528, 0.8374561585353233, 0.8531866924773608, 0.8707283168414985, 0.8901246872198508, 0.9113979966435575, 0.9345463292981158, 0.9595410761521217, 0.9863244460108456, 1.0148071097570075, 1.044866020805698, 1.0763424613888333, 1.10904037263, 1.1427250370885582, 1.1771221964350553, 1.211917705491757, 1.2467578490451692, 1.281250482761755, 1.3149672093073947, 1.3474468739400904, 1.3782007754277161, 1.4067201659008188, 1.4324869118546255, 1.4549887243073916, 1.473741412360413, 1.4883229026399674, 1.4984296550477387, 1.5039858167369895, 1.5054579770530547 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.09864956438945564, -0.17958755569808468, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.46683

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

DM3LtfdpZyPMdJLAZBn7jAG

null

false

null

false

DCQFcHaSNfhQsZEcQCJK8kp

DXBrsFifRekWRCKtMN72Z2N

{"qi": 0.009738521439138961, "vacuum_well": -0.10590865231942521, "aspect_ratio": 9.768735469979788, "max_elongation": 4.837311653728112, "average_triangularity": -0.4259523950552814, "axis_magnetic_mirror_ratio": 0.15040327076960774, "edge_magnetic_mirror_ratio": 0.20435846253770915, "aspect_ratio_over_edge_rotational_transform": 19.949588892090524, "flux_compression_in_regions_of_bad_curvature": 1.2597849299218724, "axis_rotational_transform_over_n_field_periods": 0.2455165235520958, "edge_rotational_transform_over_n_field_periods": 0.2448355082107188, "minimum_normalized_magnetic_gradient_scale_length": 5.461262284276803}

9.768735

19.949589

-0.781917

0.150403

0.245517

0.204358

0.244836

1.259785

4.837312

5.461262

0.009739

-0.105909

{"r_cos":[[0.0,0.0,0.0,0.0,0.9913902218940529,-0.14448585374063586,-0.050778923570233996,0.017290165140223888,-0.001072007524746409],[0.002138299134358695,0.0016083778379467587,0.025481706635803597,-0.014605735541218167,0.09727598852552648,-0.03208919992173194,0.012238232395424741,-0.0006271138146292267,0.0008329185018168985],[-0.0024007802490358175,-0.004048852539787776,-0.018029611010473737,-0.001831667624980601,-0.02205470226681255,0.007520374640357196,-0.0004393137662886265,-0.00024092369279035014,0.00016539603436837528],[0.0006101582712565777,0.0005403117659291354,0.0030500068076724654,0.0004011421654721893,-0.002813688908269309,-0.0010019789771871484,-0.00040721390832353555,-0.000039527793781160786,0.00005908375643339073],[-0.00014908924491529414,-0.00006001854551521501,-0.0008716210202681275,0.0005818251142076765,0.00018478168845896493,-0.00004029117306798049,-0.0003152628571729911,0.00007836579387544907,-0.000019539091092703656]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14742475940738758,0.03598174842996374,-0.008617185485252313,0.002028836047156682],[0.003320733970007042,0.0057122444127645205,0.03480697610025018,-0.08708385030152102,-0.10047012558945558,0.0670478117331644,-0.021096809939556385,0.0028447371833261736,-0.00019586758759885929],[-0.0030601498098410296,-0.0032340791963713297,-0.01447259948409108,0.014286811909420079,0.012388994444362589,-0.012202024693080632,0.002439934079777469,0.0013724766480165901,-0.0005234223418901025],[0.0006245209449240099,0.00004409632610747385,0.0013255267864542937,-0.002587203490470624,0.0017545690590780828,-0.0009196992065204521,0.0010550087040156813,0.0007698348600301472,-0.00021247963965470795],[-0.0001522462264980076,-0.00010486731660715268,0.0005132717996434264,-0.0008948033946648427,0.0014181471730390519,-0.0015933292268118938,0.0010296676689698608,-0.00028734277952978924,0.000056101902995568094]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9913902218940529, -0.14448585374063586, -0.050778923570233996, 0.017290165140223888, -0.001072007524746409 ], [ 0.002138299134358695, 0.0016083778379467587, 0.025481706635803597, -0.014605735541218167, 0.09727598852552648, -0.03208919992173194, 0.012238232395424741, -0.0006271138146292267, 0.0008329185018168985 ], [ -0.0024007802490358175, -0.004048852539787776, -0.018029611010473737, -0.001831667624980601, -0.02205470226681255, 0.007520374640357196, -0.0004393137662886265, -0.00024092369279035014, 0.00016539603436837528 ], [ 0.0006101582712565777, 0.0005403117659291354, 0.0030500068076724654, 0.0004011421654721893, -0.002813688908269309, -0.0010019789771871484, -0.00040721390832353555, -0.000039527793781160786, 0.00005908375643339073 ], [ -0.00014908924491529414, -0.00006001854551521501, -0.0008716210202681275, 0.0005818251142076765, 0.00018478168845896493, -0.00004029117306798049, -0.0003152628571729911, 0.00007836579387544907, -0.000019539091092703656 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14742475940738758, 0.03598174842996374, -0.008617185485252313, 0.002028836047156682 ], [ 0.003320733970007042, 0.0057122444127645205, 0.03480697610025018, -0.08708385030152102, -0.10047012558945558, 0.0670478117331644, -0.021096809939556385, 0.0028447371833261736, -0.00019586758759885929 ], [ -0.0030601498098410296, -0.0032340791963713297, -0.01447259948409108, 0.014286811909420079, 0.012388994444362589, -0.012202024693080632, 0.002439934079777469, 0.0013724766480165901, -0.0005234223418901025 ], [ 0.0006245209449240099, 0.00004409632610747385, 0.0013255267864542937, -0.002587203490470624, 0.0017545690590780828, -0.0009196992065204521, 0.0010550087040156813, 0.0007698348600301472, -0.00021247963965470795 ], [ -0.0001522462264980076, -0.00010486731660715268, 0.0005132717996434264, -0.0008948033946648427, 0.0014181471730390519, -0.0015933292268118938, 0.0010296676689698608, -0.00028734277952978924, 0.000056101902995568094 ] ]

Dgr3jJh63UE34YQAiwAXE4X

{"aspect_ratio": 9.61198127213464, "major_radius": 1.0, "max_elongation": 4.545659004958558, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.12596314049547733, 0.11957127260861947, 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": [[0.8397489391848835, 0.8397492045199985, 0.8397558455245744, 0.8397939967072565, 0.8399156472729029, 0.8402007290951152, 0.840754008247524, 0.8416993574678444, 0.8431725239965672, 0.8453132283060276, 0.8482572304896253, 0.8521288473517122, 0.8570342788307908, 0.8630559990780958, 0.8702483804883813, 0.878634645182252, 0.8882051757969402, 0.8989171644735482, 0.9106955345267267, 0.9234350325886667, 0.9370033593442979, 0.9512451837497311, 0.9659868683687974, 0.9810417217541044, 0.9962155872675191, 1.0113125760437147, 1.026140754638664, 1.0405176049809182, 1.0542750852784062, 1.0672641352567291, 1.0793584872496476, 1.0904576659614835, 1.1004890839027506, 1.109409166284015, 1.117203468244587, 1.1238857783786798, 1.1294962352624611, 1.1340985177062257, 1.1377762043354813, 1.1406284333595451, 1.1427650284484936, 1.1443012908251378, 1.1453526901401134, 1.1460297163482331, 1.1464331801939318, 1.14665026901879, 1.146751674428888, 1.1467901041327437, 1.1468004635998328, 1.146801927142686, 1.1468019692239562], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5255503598057925}

9.611981

1

4.545659

[ [ 0.8397489391848835, 0.8397492045199985, 0.8397558455245744, 0.8397939967072565, 0.8399156472729029, 0.8402007290951152, 0.840754008247524, 0.8416993574678444, 0.8431725239965672, 0.8453132283060276, 0.8482572304896253, 0.8521288473517122, 0.8570342788307908, 0.8630559990780958, 0.8702483804883813, 0.878634645182252, 0.8882051757969402, 0.8989171644735482, 0.9106955345267267, 0.9234350325886667, 0.9370033593442979, 0.9512451837497311, 0.9659868683687974, 0.9810417217541044, 0.9962155872675191, 1.0113125760437147, 1.026140754638664, 1.0405176049809182, 1.0542750852784062, 1.0672641352567291, 1.0793584872496476, 1.0904576659614835, 1.1004890839027506, 1.109409166284015, 1.117203468244587, 1.1238857783786798, 1.1294962352624611, 1.1340985177062257, 1.1377762043354813, 1.1406284333595451, 1.1427650284484936, 1.1443012908251378, 1.1453526901401134, 1.1460297163482331, 1.1464331801939318, 1.14665026901879, 1.146751674428888, 1.1467901041327437, 1.1468004635998328, 1.146801927142686, 1.1468019692239562 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.12596314049547733, 0.11957127260861947, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.52555

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

D3YbAxy8c5iqqVhvyKsGcU7

null

false

null

false

Db6qK2PPC7yvjzHqwr7GxjC

D3wqrZEYDg7wrwuZtG4WBdC

{"qi": 0.0359272731859555, "vacuum_well": -0.07769016442070874, "aspect_ratio": 7.887810370514253, "max_elongation": 6.1215269707915585, "average_triangularity": -0.30146099192681264, "axis_magnetic_mirror_ratio": 0.5695816292921327, "edge_magnetic_mirror_ratio": 0.8504823849228702, "aspect_ratio_over_edge_rotational_transform": 7.028401243642648, "flux_compression_in_regions_of_bad_curvature": 1.6522910560175466, "axis_rotational_transform_over_n_field_periods": 0.2446203308805531, "edge_rotational_transform_over_n_field_periods": 0.22445532339659638, "minimum_normalized_magnetic_gradient_scale_length": 2.6825766894016523}

7.88781

7.028401

-0.273102

0.569582

0.24462

0.850482

0.224455

1.652291

6.121527

2.682577

0.035927

-0.07769

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1414294145146253,-0.03449721169072073,-0.006538957668751671,0.0015296228427783796],[-0.0003859556404230645,0.00924501626174926,0.03743858295662216,0.04494006175493928,0.09295037027555741,-0.034210789952505496,0.007142680118813605,0.0011503014408485186,-0.00022523633649680912],[0.00010571231847222047,-0.00512013170092491,-0.015533840854180244,0.0014488609453504964,-0.0027427334207716127,-0.006136173563170422,0.0019210029029858968,-0.001421152922465445,0.00027806781284960984],[-0.00015011302054796977,0.0003126644717640167,0.0025009720666936104,0.0005421903205939138,0.0005815722637708444,-0.0005870076224059564,0.0003957685089298363,-0.00012245176306934215,0.000044466096640191764],[-0.00013570488812243036,-0.00003284532542267165,-0.00006115736734400905,0.000650286845306946,-0.0010119150658429272,0.0004768857342928747,-0.0003687151046076602,0.00012363210303556113,-0.00005310315247525627]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.061572603380793275,0.026068999309649545,0.004113064210594911,-0.00011234196056231216],[0.0009554121463508209,0.014409092634003811,0.05328747145845736,0.01737596186951675,-0.18219167837720568,0.04084095202955208,-0.009176820182695646,-0.0002859591176429758,-0.00034241075139173445],[-0.000762293387889243,-0.009902880030740796,-0.016145996690550963,0.00010561190557250352,0.0034717763048170568,-0.0032921498379261047,0.003445060552211311,0.00046840477952438987,-0.000048346117910888736],[-0.000451772377959509,-0.0013138489489263258,-0.004193546588524631,-0.004294858453612981,0.0003999192567315263,0.0001153277889249355,-0.0010639078168853816,0.0007187460223486899,-0.00022142163680760943],[0.00005469913457950191,-0.0007161319573783373,-0.0004868954002258814,0.0003102361525787208,0.00019929272348375143,-0.00013643396328274173,0.000177180859042267,8.30334413753545e-6,0.000010898980482834107]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.1414294145146253, -0.03449721169072073, -0.006538957668751671, 0.0015296228427783796 ], [ -0.0003859556404230645, 0.00924501626174926, 0.03743858295662216, 0.04494006175493928, 0.09295037027555741, -0.034210789952505496, 0.007142680118813605, 0.0011503014408485186, -0.00022523633649680912 ], [ 0.00010571231847222047, -0.00512013170092491, -0.015533840854180244, 0.0014488609453504964, -0.0027427334207716127, -0.006136173563170422, 0.0019210029029858968, -0.001421152922465445, 0.00027806781284960984 ], [ -0.00015011302054796977, 0.0003126644717640167, 0.0025009720666936104, 0.0005421903205939138, 0.0005815722637708444, -0.0005870076224059564, 0.0003957685089298363, -0.00012245176306934215, 0.000044466096640191764 ], [ -0.00013570488812243036, -0.00003284532542267165, -0.00006115736734400905, 0.000650286845306946, -0.0010119150658429272, 0.0004768857342928747, -0.0003687151046076602, 0.00012363210303556113, -0.00005310315247525627 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.061572603380793275, 0.026068999309649545, 0.004113064210594911, -0.00011234196056231216 ], [ 0.0009554121463508209, 0.014409092634003811, 0.05328747145845736, 0.01737596186951675, -0.18219167837720568, 0.04084095202955208, -0.009176820182695646, -0.0002859591176429758, -0.00034241075139173445 ], [ -0.000762293387889243, -0.009902880030740796, -0.016145996690550963, 0.00010561190557250352, 0.0034717763048170568, -0.0032921498379261047, 0.003445060552211311, 0.00046840477952438987, -0.000048346117910888736 ], [ -0.000451772377959509, -0.0013138489489263258, -0.004193546588524631, -0.004294858453612981, 0.0003999192567315263, 0.0001153277889249355, -0.0010639078168853816, 0.0007187460223486899, -0.00022142163680760943 ], [ 0.00005469913457950191, -0.0007161319573783373, -0.0004868954002258814, 0.0003102361525787208, 0.00019929272348375143, -0.00013643396328274173, 0.000177180859042267, 0.00000830334413753545, 0.000010898980482834107 ] ]

DEKtdoZSeijHVdtYer7MhiA

{"aspect_ratio": 6.8257310142561725, "major_radius": 1.0, "max_elongation": 5.671940114198369, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.16140990890505721, 0.023141845825587072, 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": [[0.6948703525636784, 0.6949104737512186, 0.6952702228374879, 0.6963620899866838, 0.6985900744985054, 0.7023054474451094, 0.7077875370506956, 0.7152361397362875, 0.7247706267207737, 0.736433235586861, 0.7501950498773731, 0.7659636850222518, 0.7835919957014001, 0.8028873067158477, 0.8236207954462841, 0.8455367435106247, 0.8683614416032227, 0.89181158242901, 0.9156020168574472, 0.9394527809298472, 0.9630953281590351, 0.9862779240307487, 1.008770178713784, 1.0303667104034366, 1.0508899459691672, 1.0701920780332563, 1.088156208561231, 1.1046967187188077, 1.1197589133157888, 1.133317995748595, 1.1453774360741915, 1.155966800779829, 1.1651391180168469, 1.1729678565879165, 1.179543600846427, 1.1849705069016327, 1.1893626281279543, 1.1928401999419003, 1.195525975110257, 1.1975417014447616, 1.1990048335539005, 1.2000255692625534, 1.2007042992308117, 1.2011295549939875, 1.2013765357926633, 1.2015062876803404, 1.2015655987025484, 1.2015876600773516, 1.2015935226910979, 1.2015943452115154, 1.2015943690470543], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.3024843613341839}

6.825731

1

5.67194

[ [ 0.6948703525636784, 0.6949104737512186, 0.6952702228374879, 0.6963620899866838, 0.6985900744985054, 0.7023054474451094, 0.7077875370506956, 0.7152361397362875, 0.7247706267207737, 0.736433235586861, 0.7501950498773731, 0.7659636850222518, 0.7835919957014001, 0.8028873067158477, 0.8236207954462841, 0.8455367435106247, 0.8683614416032227, 0.89181158242901, 0.9156020168574472, 0.9394527809298472, 0.9630953281590351, 0.9862779240307487, 1.008770178713784, 1.0303667104034366, 1.0508899459691672, 1.0701920780332563, 1.088156208561231, 1.1046967187188077, 1.1197589133157888, 1.133317995748595, 1.1453774360741915, 1.155966800779829, 1.1651391180168469, 1.1729678565879165, 1.179543600846427, 1.1849705069016327, 1.1893626281279543, 1.1928401999419003, 1.195525975110257, 1.1975417014447616, 1.1990048335539005, 1.2000255692625534, 1.2007042992308117, 1.2011295549939875, 1.2013765357926633, 1.2015062876803404, 1.2015655987025484, 1.2015876600773516, 1.2015935226910979, 1.2015943452115154, 1.2015943690470543 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.16140990890505721, 0.023141845825587072, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.302484

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

D6t8T25bcz6nFo8XwauKZsn

null

false

null

false

DK3Ya7Zmz4QcDQjuDuq8djU

DmcUwTkJSBh3E4ucSeQZWjp

{"qi": 0.0007773568280805845, "vacuum_well": -0.1084451192799955, "aspect_ratio": 9.414560677620576, "max_elongation": 6.613421969157013, "average_triangularity": -0.2223071047754624, "axis_magnetic_mirror_ratio": 0.3485938874682513, "edge_magnetic_mirror_ratio": 0.3591577030715391, "aspect_ratio_over_edge_rotational_transform": 13.377357017500104, "flux_compression_in_regions_of_bad_curvature": 1.514451019673088, "axis_rotational_transform_over_n_field_periods": 0.21538008609680764, "edge_rotational_transform_over_n_field_periods": 0.1759420912760375, "minimum_normalized_magnetic_gradient_scale_length": 9.043927474887212}

9.414561

13.377357

-0.247053

0.348594

0.21538

0.359158

0.175942

1.514451

6.613422

9.043927

0.000777

-0.108445

{"r_cos":[[0.0,0.0,0.0,0.0,0.9958516984309385,0.0226080859788959,-0.012030165973675561,-0.0031728765342690125,0.00023140126106109419],[-0.00012585325300095096,-0.0030206411631527033,-0.013706361663656318,-0.07060044875184018,0.12271096214364306,0.007729276126032747,-0.009532076097614504,0.00015950365268904915,0.0003961769835462991],[0.000254943517303609,0.0013528343574965621,0.0062781294999730425,0.004503848633100292,-0.014121697185494548,0.016218566260599258,-0.005734733400527232,0.0006592968058461994,0.00018606860342898783],[0.00007005965278898557,-0.0005522867263307801,-0.0014748176272717474,-0.0010564297785442308,0.003801913029929855,-0.0011027159904283153,0.00009916251385210103,0.00005990376750823832,0.000051083846844818335],[0.0001320488263706319,0.00008111128010223733,0.00001625677998291032,-0.00017925659542308197,-0.00010280643587338382,7.588162022469872e-6,-0.00030311104259984076,0.00016710757968104058,-0.00003475314554509383]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.10257854997668302,0.004015404400755091,0.0024427537097357205,0.000030946294323166985],[-0.00021346128074659337,-0.0034641625659248684,-0.013052941899411735,-0.08398010613506261,-0.1581207166909224,0.03842143698357099,0.0019424222719823586,-0.0001577222331254045,4.368634398286734e-6],[2.2525005322888796e-6,0.0012714391177982844,0.002540866104477179,0.01963937938784254,-0.03931406999705338,0.008284843921478706,0.004037306350152669,-0.0014697066399981318,0.00007825478720811209],[-0.0003039584182927917,-0.00046413483852822185,-0.005200087328984462,0.003055973451655777,-0.006228130888811188,0.0010367188066107982,0.0009587545460194666,-0.00036651998245632457,0.000021363038192879108],[0.00010958633335047982,0.0007219758471958071,0.0006525005930638531,0.00008587923674895407,0.0010294402898713383,-0.00004599495574400905,0.00010192691020092604,0.000024571461454490158,3.2367911974685246e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9958516984309385, 0.0226080859788959, -0.012030165973675561, -0.0031728765342690125, 0.00023140126106109419 ], [ -0.00012585325300095096, -0.0030206411631527033, -0.013706361663656318, -0.07060044875184018, 0.12271096214364306, 0.007729276126032747, -0.009532076097614504, 0.00015950365268904915, 0.0003961769835462991 ], [ 0.000254943517303609, 0.0013528343574965621, 0.0062781294999730425, 0.004503848633100292, -0.014121697185494548, 0.016218566260599258, -0.005734733400527232, 0.0006592968058461994, 0.00018606860342898783 ], [ 0.00007005965278898557, -0.0005522867263307801, -0.0014748176272717474, -0.0010564297785442308, 0.003801913029929855, -0.0011027159904283153, 0.00009916251385210103, 0.00005990376750823832, 0.000051083846844818335 ], [ 0.0001320488263706319, 0.00008111128010223733, 0.00001625677998291032, -0.00017925659542308197, -0.00010280643587338382, 0.000007588162022469872, -0.00030311104259984076, 0.00016710757968104058, -0.00003475314554509383 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.10257854997668302, 0.004015404400755091, 0.0024427537097357205, 0.000030946294323166985 ], [ -0.00021346128074659337, -0.0034641625659248684, -0.013052941899411735, -0.08398010613506261, -0.1581207166909224, 0.03842143698357099, 0.0019424222719823586, -0.0001577222331254045, 0.000004368634398286734 ], [ 0.0000022525005322888796, 0.0012714391177982844, 0.002540866104477179, 0.01963937938784254, -0.03931406999705338, 0.008284843921478706, 0.004037306350152669, -0.0014697066399981318, 0.00007825478720811209 ], [ -0.0003039584182927917, -0.00046413483852822185, -0.005200087328984462, 0.003055973451655777, -0.006228130888811188, 0.0010367188066107982, 0.0009587545460194666, -0.00036651998245632457, 0.000021363038192879108 ], [ 0.00010958633335047982, 0.0007219758471958071, 0.0006525005930638531, 0.00008587923674895407, 0.0010294402898713383, -0.00004599495574400905, 0.00010192691020092604, 0.000024571461454490158, 0.0000032367911974685246 ] ]

DYUq2Q3zhQgaJpWSfJepCJX

{"aspect_ratio": 10.105274410531193, "major_radius": 1.0, "max_elongation": 6.404412164911368, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2916435134144004, 0.17829968857364273, 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": [[0.673400503858472, 0.6734006495873696, 0.6734050622097028, 0.6734337994279953, 0.6735344976490232, 0.6737893038478302, 0.6743174425453583, 0.6752740929322031, 0.6768462668978026, 0.6792463557439375, 0.6827039742315918, 0.6874566834171427, 0.6937401222202082, 0.7017780238492939, 0.7117725383051353, 0.7238952269776825, 0.7382790404062594, 0.755011535996787, 0.7741295392097479, 0.7956153997156264, 0.8193949434920222, 0.8453371730161376, 0.8732557207814884, 0.9029120165248687, 0.9340200859735761, 0.9662528588014493, 0.9992498260105591, 1.032625852340248, 1.0659809177696804, 1.0989105339685787, 1.1310165569351656, 1.1619180963470022, 1.191262205689902, 1.218734025428501, 1.2440660448169072, 1.2670461469885557, 1.2875241074010777, 1.305416228394926, 1.3207078136214787, 1.3334532167759343, 1.3437732412287136, 1.3518497232073652, 1.3579172045054546, 1.362251696140019, 1.3651566592565896, 1.366946495504105, 1.367928065784798, 1.3683810801981637, 1.3685386990251187, 1.3685705426406876, 1.3685721624017533], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8932814443481506}

10.105274

1

6.404412

[ [ 0.673400503858472, 0.6734006495873696, 0.6734050622097028, 0.6734337994279953, 0.6735344976490232, 0.6737893038478302, 0.6743174425453583, 0.6752740929322031, 0.6768462668978026, 0.6792463557439375, 0.6827039742315918, 0.6874566834171427, 0.6937401222202082, 0.7017780238492939, 0.7117725383051353, 0.7238952269776825, 0.7382790404062594, 0.755011535996787, 0.7741295392097479, 0.7956153997156264, 0.8193949434920222, 0.8453371730161376, 0.8732557207814884, 0.9029120165248687, 0.9340200859735761, 0.9662528588014493, 0.9992498260105591, 1.032625852340248, 1.0659809177696804, 1.0989105339685787, 1.1310165569351656, 1.1619180963470022, 1.191262205689902, 1.218734025428501, 1.2440660448169072, 1.2670461469885557, 1.2875241074010777, 1.305416228394926, 1.3207078136214787, 1.3334532167759343, 1.3437732412287136, 1.3518497232073652, 1.3579172045054546, 1.362251696140019, 1.3651566592565896, 1.366946495504105, 1.367928065784798, 1.3683810801981637, 1.3685386990251187, 1.3685705426406876, 1.3685721624017533 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2916435134144004, 0.17829968857364273, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.893281

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

DTmMDhfnVXhf96bqigNoQaP

null

false

null

false

DLrZFcL2GZ7TvVix4CRTEqG

DjaQhsbkchbWx7uA7Z5qC5W

{"qi": 0.02095909082194731, "vacuum_well": -0.05766885339423793, "aspect_ratio": 7.043208125934241, "max_elongation": 10.007631699876072, "average_triangularity": 0.3019933488672073, "axis_magnetic_mirror_ratio": 0.16064851096819854, "edge_magnetic_mirror_ratio": 0.3543000693409737, "aspect_ratio_over_edge_rotational_transform": 9.393231760315242, "flux_compression_in_regions_of_bad_curvature": 2.985668787198901, "axis_rotational_transform_over_n_field_periods": 0.2141139045749056, "edge_rotational_transform_over_n_field_periods": 0.14996346956306478, "minimum_normalized_magnetic_gradient_scale_length": 3.2171001656495153}

7.043208

9.393232

0.295005

0.160649

0.214114

0.3543

0.149963

2.985669

10.007632

3.2171

0.020959

-0.057669

{"r_cos":[[0.0,0.0,0.0,0.0,0.9966852975418565,0.05784705389531499,0.004918313209417486,-0.0006725261932606466,0.0024464532114440627],[-0.00013800482399056713,-0.006078719037353348,-0.03416877693527296,-0.054923112356808176,0.22555103211637617,-0.053162408810016146,0.026902449124503597,-0.004957500068625458,0.0012844636413237322],[0.0007987223505912692,0.0016116649346080382,0.0043700356313832334,0.018404091081333302,0.028071357700644603,-0.0069313853808156975,0.002140618323402695,-0.0019841055374033257,-0.0006436781580448928],[0.0002360987528382231,-0.001459646072380375,-0.0026438382146150223,0.003201512361381569,-0.0005034041462910564,-0.0011361493662373299,-0.0004249967660237713,-0.00013105875428981375,-0.0001894880866684557],[0.00005956528932873217,-0.0004177590876536122,-0.00030345274208356794,7.465346829793967e-6,0.0001829463045638531,-0.00022533862355870841,-0.0003982832053132401,0.00034610807424839446,-0.00011043953162897293]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.5246231228277168,0.002203261464454251,-0.023246296656440766,-0.00010660751014257562],[-0.005617673008642719,-0.012760461404626076,-0.05625219613226119,-0.03701160755307262,-0.10809184329790315,-0.01445998589882859,-0.012457506941520053,-0.0038121339572999673,0.0006071519464077974],[0.000948020045043372,0.0068084654546871435,0.0006646005955189346,-0.011727009157653786,0.0003892146632012572,0.004983411243590263,0.0016189447889237477,0.0022041696981867516,0.0007046759455751367],[-0.0001019246444579456,-0.0016997621997595176,-0.0014714209522623317,-0.0027789881170454,-0.0009121319507468747,0.001331596502224335,0.00032646585706224806,0.0004113225526002776,-0.00008588080703667559],[0.0002376934485160697,0.0003129365344111756,-0.00023113647187542809,-0.00016896481052890348,0.00048210497602013414,0.00014304813145567575,-3.8003414502407057e-6,0.00013448391685732034,-0.00011894214333401054]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9966852975418565, 0.05784705389531499, 0.004918313209417486, -0.0006725261932606466, 0.0024464532114440627 ], [ -0.00013800482399056713, -0.006078719037353348, -0.03416877693527296, -0.054923112356808176, 0.22555103211637617, -0.053162408810016146, 0.026902449124503597, -0.004957500068625458, 0.0012844636413237322 ], [ 0.0007987223505912692, 0.0016116649346080382, 0.0043700356313832334, 0.018404091081333302, 0.028071357700644603, -0.0069313853808156975, 0.002140618323402695, -0.0019841055374033257, -0.0006436781580448928 ], [ 0.0002360987528382231, -0.001459646072380375, -0.0026438382146150223, 0.003201512361381569, -0.0005034041462910564, -0.0011361493662373299, -0.0004249967660237713, -0.00013105875428981375, -0.0001894880866684557 ], [ 0.00005956528932873217, -0.0004177590876536122, -0.00030345274208356794, 0.000007465346829793967, 0.0001829463045638531, -0.00022533862355870841, -0.0003982832053132401, 0.00034610807424839446, -0.00011043953162897293 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.5246231228277168, 0.002203261464454251, -0.023246296656440766, -0.00010660751014257562 ], [ -0.005617673008642719, -0.012760461404626076, -0.05625219613226119, -0.03701160755307262, -0.10809184329790315, -0.01445998589882859, -0.012457506941520053, -0.0038121339572999673, 0.0006071519464077974 ], [ 0.000948020045043372, 0.0068084654546871435, 0.0006646005955189346, -0.011727009157653786, 0.0003892146632012572, 0.004983411243590263, 0.0016189447889237477, 0.0022041696981867516, 0.0007046759455751367 ], [ -0.0001019246444579456, -0.0016997621997595176, -0.0014714209522623317, -0.0027789881170454, -0.0009121319507468747, 0.001331596502224335, 0.00032646585706224806, 0.0004113225526002776, -0.00008588080703667559 ], [ 0.0002376934485160697, 0.0003129365344111756, -0.00023113647187542809, -0.00016896481052890348, 0.00048210497602013414, 0.00014304813145567575, -0.0000038003414502407057, 0.00013448391685732034, -0.00011894214333401054 ] ]

Dbww5esD87KPnyUkeXhYrME

{"aspect_ratio": 7.224975699741466, "major_radius": 1.0, "max_elongation": 4.5226195583982935, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.30211762573388057, -0.26788243717114707, 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": [[0.8439373872461047, 0.8439427481379148, 0.8440000461383024, 0.8441962679837366, 0.8446358328909686, 0.8454288358154649, 0.8466835578556072, 0.8485012287861059, 0.8509722706261051, 0.8541736217122814, 0.8581668977504158, 0.8629972259311149, 0.8686926335234461, 0.8752639003811125, 0.8827048032212543, 0.8909926922487029, 0.9000893498129398, 0.9099420875263701, 0.9204850433875945, 0.9316406444168184, 0.9433212034348379, 0.9554306211141158, 0.9678661664476782, 0.9805203104236145, 0.9932825890354213, 1.0060414728566165, 1.0186862213026526, 1.031108700424165, 1.0432051436447844, 1.0548778352894406, 1.0660366970552062, 1.0766007577614898, 1.0864994867804196, 1.0956739714876007, 1.1040779188788685, 1.1116784611547357, 1.1184567445573919, 1.1244082800209565, 1.1295430332143992, 1.1338852302458042, 1.137472853549796, 1.1403568001361633, 1.142599671187038, 1.1442741575488773, 1.1454609792910941, 1.1462463279699462, 1.1467187451745227, 1.146965345287268, 1.1470672418187071, 1.1470939281056516, 1.1470960294083734], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.9593091634535317}

7.224976

1

4.52262

[ [ 0.8439373872461047, 0.8439427481379148, 0.8440000461383024, 0.8441962679837366, 0.8446358328909686, 0.8454288358154649, 0.8466835578556072, 0.8485012287861059, 0.8509722706261051, 0.8541736217122814, 0.8581668977504158, 0.8629972259311149, 0.8686926335234461, 0.8752639003811125, 0.8827048032212543, 0.8909926922487029, 0.9000893498129398, 0.9099420875263701, 0.9204850433875945, 0.9316406444168184, 0.9433212034348379, 0.9554306211141158, 0.9678661664476782, 0.9805203104236145, 0.9932825890354213, 1.0060414728566165, 1.0186862213026526, 1.031108700424165, 1.0432051436447844, 1.0548778352894406, 1.0660366970552062, 1.0766007577614898, 1.0864994867804196, 1.0956739714876007, 1.1040779188788685, 1.1116784611547357, 1.1184567445573919, 1.1244082800209565, 1.1295430332143992, 1.1338852302458042, 1.137472853549796, 1.1403568001361633, 1.142599671187038, 1.1442741575488773, 1.1454609792910941, 1.1462463279699462, 1.1467187451745227, 1.146965345287268, 1.1470672418187071, 1.1470939281056516, 1.1470960294083734 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.30211762573388057, -0.26788243717114707, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.959309

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

DLohRtwqsiXUdGZGwf2WtTE

null

false

null

false

DdrADAuXLHfrrhuhNmbWe6D

DPFybJGNx6sZHFhzfcBKctA

{"qi": 0.0050113644193065625, "vacuum_well": -0.061055534080538085, "aspect_ratio": 9.667871399543134, "max_elongation": 4.997369261140791, "average_triangularity": -0.1461831766734498, "axis_magnetic_mirror_ratio": 0.18622941120490796, "edge_magnetic_mirror_ratio": 0.22652623723163384, "aspect_ratio_over_edge_rotational_transform": 36.66499061113047, "flux_compression_in_regions_of_bad_curvature": 1.0536694690146597, "axis_rotational_transform_over_n_field_periods": 0.2952569987430505, "edge_rotational_transform_over_n_field_periods": 0.13184063650909866, "minimum_normalized_magnetic_gradient_scale_length": 4.892522907880758}

9.667871

36.664991

-0.181191

0.186229

0.295257

0.226526

0.131841

1.053669

4.997369

4.892523

0.005011

-0.061056

{"r_cos":[[0.0,0.0,0.0,0.0,0.99273782714477,-0.10659871876404604,-0.07402184424157884,0.014702371170225255,0.0028961493653392604],[-0.002416866863587509,-0.005126475925515779,0.029217559589992476,-0.025413239095426962,0.1106466495327716,-0.025682568647260408,0.010994949463819683,0.0021181541558265736,-0.00046394671492335426],[0.0003087616878877727,-0.00017379497758330934,-0.0010227372309872997,-0.0012371680314248552,0.00256108975623579,0.0074524304260510125,0.0034271635075282074,0.0025280021827526773,0.0005493199517214522],[-0.00022538856283448833,0.0004891974117486347,-0.0036809131900999363,0.0031963130224841887,0.004474353942592764,0.0011429593288245286,0.002738880024435421,0.0009249610343682019,0.000508618148229131],[-0.00008481764964285264,-0.00017648695876288522,0.0004955185317597158,-0.0010784641858912567,0.0007521316569383645,0.0004417718533085233,-0.00003735672413309122,0.0003584584885076031,0.00010958983323242712]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.2701412076983666,0.04581654940146872,-0.00034753862888637146,0.0017261191067950155],[0.0007136238622544211,0.00021428883633448385,0.038158019067624116,-0.07355346864459164,-0.11059596308354351,0.06577131957412097,-0.010705805039916642,-0.001326052551970746,0.00020096733421656873],[0.00010713885486114,-0.002844348205527299,0.0031913060478914517,-0.005443425349957679,-0.01375606650374718,0.011364381778700281,0.007440804918782102,0.00042337384798485345,-0.0006915004552761373],[-0.00016647939260824797,0.0018489800162578794,-0.002810239271517687,0.0010527579717571338,-0.0030510200118571713,-0.0006237748867146689,0.0016455919883642312,0.0009237181164005487,-0.00033044499448964325],[-0.00007714092344707338,0.00035896644730709724,0.00004524003885108196,0.00003559458862662689,-0.0007427009240639709,-0.0004652371211053531,-0.00008328001080722613,-0.0001913226271318577,0.000029123003049717802]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.99273782714477, -0.10659871876404604, -0.07402184424157884, 0.014702371170225255, 0.0028961493653392604 ], [ -0.002416866863587509, -0.005126475925515779, 0.029217559589992476, -0.025413239095426962, 0.1106466495327716, -0.025682568647260408, 0.010994949463819683, 0.0021181541558265736, -0.00046394671492335426 ], [ 0.0003087616878877727, -0.00017379497758330934, -0.0010227372309872997, -0.0012371680314248552, 0.00256108975623579, 0.0074524304260510125, 0.0034271635075282074, 0.0025280021827526773, 0.0005493199517214522 ], [ -0.00022538856283448833, 0.0004891974117486347, -0.0036809131900999363, 0.0031963130224841887, 0.004474353942592764, 0.0011429593288245286, 0.002738880024435421, 0.0009249610343682019, 0.000508618148229131 ], [ -0.00008481764964285264, -0.00017648695876288522, 0.0004955185317597158, -0.0010784641858912567, 0.0007521316569383645, 0.0004417718533085233, -0.00003735672413309122, 0.0003584584885076031, 0.00010958983323242712 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.2701412076983666, 0.04581654940146872, -0.00034753862888637146, 0.0017261191067950155 ], [ 0.0007136238622544211, 0.00021428883633448385, 0.038158019067624116, -0.07355346864459164, -0.11059596308354351, 0.06577131957412097, -0.010705805039916642, -0.001326052551970746, 0.00020096733421656873 ], [ 0.00010713885486114, -0.002844348205527299, 0.0031913060478914517, -0.005443425349957679, -0.01375606650374718, 0.011364381778700281, 0.007440804918782102, 0.00042337384798485345, -0.0006915004552761373 ], [ -0.00016647939260824797, 0.0018489800162578794, -0.002810239271517687, 0.0010527579717571338, -0.0030510200118571713, -0.0006237748867146689, 0.0016455919883642312, 0.0009237181164005487, -0.00033044499448964325 ], [ -0.00007714092344707338, 0.00035896644730709724, 0.00004524003885108196, 0.00003559458862662689, -0.0007427009240639709, -0.0004652371211053531, -0.00008328001080722613, -0.0001913226271318577, 0.000029123003049717802 ] ]

DbGBRCkwVTLMhfxG4hCJQbv

{"aspect_ratio": 10.139934976399797, "major_radius": 1.0, "max_elongation": 4.915744659477541, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.29997617380023883, 0.39637351107435986, 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": [[0.8055757274444533, 0.8055758650417821, 0.8055800244277956, 0.8056069010584295, 0.8057000532124196, 0.8059327611793132, 0.8064083310658944, 0.8072568151522376, 0.8086290936541818, 0.8106891847443184, 0.8136055531882698, 0.8175420850080504, 0.8226492918985991, 0.8290562078110777, 0.8368633430382661, 0.8461369694767209, 0.8569049252811516, 0.8691540484005625, 0.8828292768564857, 0.8978343893362685, 0.9140343028872964, 0.9312587953032622, 0.9493074782304283, 0.9679558130859114, 0.9869619355296158, 1.006074035391529, 1.0250380275209778, 1.0436052448591973, 1.061539887977404, 1.078625975176493, 1.094673553787904, 1.109523956291812, 1.1230539139863938, 1.1351783758679734, 1.1458519207377744, 1.155068695904319, 1.1628608657045547, 1.1692956068469078, 1.1744707446141787, 1.1785091834591828, 1.1815523465273166, 1.1837528999804166, 1.1852670982144462, 1.1862471432795019, 1.1868340035208726, 1.1871511791851361, 1.1872999313711554, 1.1873564972153563, 1.1873717846559022, 1.187373946778093, 1.187374008832411], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5264622146981717}

10.139935

1

4.915745

[ [ 0.8055757274444533, 0.8055758650417821, 0.8055800244277956, 0.8056069010584295, 0.8057000532124196, 0.8059327611793132, 0.8064083310658944, 0.8072568151522376, 0.8086290936541818, 0.8106891847443184, 0.8136055531882698, 0.8175420850080504, 0.8226492918985991, 0.8290562078110777, 0.8368633430382661, 0.8461369694767209, 0.8569049252811516, 0.8691540484005625, 0.8828292768564857, 0.8978343893362685, 0.9140343028872964, 0.9312587953032622, 0.9493074782304283, 0.9679558130859114, 0.9869619355296158, 1.006074035391529, 1.0250380275209778, 1.0436052448591973, 1.061539887977404, 1.078625975176493, 1.094673553787904, 1.109523956291812, 1.1230539139863938, 1.1351783758679734, 1.1458519207377744, 1.155068695904319, 1.1628608657045547, 1.1692956068469078, 1.1744707446141787, 1.1785091834591828, 1.1815523465273166, 1.1837528999804166, 1.1852670982144462, 1.1862471432795019, 1.1868340035208726, 1.1871511791851361, 1.1872999313711554, 1.1873564972153563, 1.1873717846559022, 1.187373946778093, 1.187374008832411 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.29997617380023883, 0.39637351107435986, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.526462

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

DGG9S3MyRxKBbjxx6D3QSm4

null

false

null

false

DCukebG4r9MiSCfDS5w6LCu

DNqk6sUWrDJSv4kffqf4UNA

{"qi": 0.042508079177766216, "vacuum_well": -0.1593863417756021, "aspect_ratio": 9.061350880220013, "max_elongation": 5.411297369939357, "average_triangularity": 0.16447997052453942, "axis_magnetic_mirror_ratio": 0.12180905324397653, "edge_magnetic_mirror_ratio": 0.4559216570971547, "aspect_ratio_over_edge_rotational_transform": 9.779093952975115, "flux_compression_in_regions_of_bad_curvature": 1.2918664768392014, "axis_rotational_transform_over_n_field_periods": 0.28044757937158504, "edge_rotational_transform_over_n_field_periods": 0.30886811272405795, "minimum_normalized_magnetic_gradient_scale_length": 3.4348799406011103}

9.061351

9.779094

0.089151

0.121809

0.280448

0.455922

0.308868

1.291866

5.411297

3.43488

0.042508

-0.159386

{"r_cos":[[0.0,0.0,0.0,0.0,0.9995978677057075,-0.195154629613631,-0.013143228061934478,0.02198446498772699,-0.0010841426204911155],[-0.0007610658414160909,-0.014884715509670611,0.04117893334770061,0.00028288414828773513,0.1321101082884271,-0.017838502593141015,0.02853831882360303,-0.003023738382164384,0.0003614718661040634],[0.0012427623236861969,0.0022966464690930195,-0.001002926200447059,-0.018474054409508188,-0.015709518368290515,-0.0074285324428800415,-0.002613795215131671,-0.00012633853660236902,0.0005324485330016496],[-0.0004085248852826,-0.0018190680187737058,-0.00018375184896163256,-0.0030114680929190954,0.0064529696776030486,0.0014100649086264652,0.0017372208945200698,0.0008952883935273654,0.00006940917450756266],[0.0003230147734233962,-0.0002441475263170601,0.00035868854669724186,0.0002191978436227428,0.0007208934984743826,-0.00018435518793662436,-0.00019607185859426635,-0.0002444906817531658,-0.000032482687272454786]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1689248797434141,0.034556494132212054,-0.013848650019808175,-0.0023190235586740874],[-0.0034778952889340654,-0.002986372681927108,0.072716898217739,-0.05106277865307149,-0.10141561847191108,0.058270390254280297,-0.025165433744222507,-0.003995282587194006,-0.0035059860201869402],[0.00008170705574762666,-0.0006329702832963276,-0.006992409685943085,-0.01371441550751168,0.01055049694049255,0.004657938974507091,0.008546981558293438,-0.0015956016065493074,0.0006251712485352428],[-0.00036072195422588087,0.0018481208005206818,-0.005289145725611361,0.004527503609687312,0.004191917418106528,-0.0009861381138148507,-0.00033326343216451065,-0.0006599731267137077,-0.0007496878098828144],[0.00013158806905070653,-0.0005038670033469207,0.0007085780467207268,0.001532113001848763,-0.001128279890664724,-0.001114552244801121,0.00005542438909373395,0.00019875648466846621,0.00010578431305590459]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9995978677057075, -0.195154629613631, -0.013143228061934478, 0.02198446498772699, -0.0010841426204911155 ], [ -0.0007610658414160909, -0.014884715509670611, 0.04117893334770061, 0.00028288414828773513, 0.1321101082884271, -0.017838502593141015, 0.02853831882360303, -0.003023738382164384, 0.0003614718661040634 ], [ 0.0012427623236861969, 0.0022966464690930195, -0.001002926200447059, -0.018474054409508188, -0.015709518368290515, -0.0074285324428800415, -0.002613795215131671, -0.00012633853660236902, 0.0005324485330016496 ], [ -0.0004085248852826, -0.0018190680187737058, -0.00018375184896163256, -0.0030114680929190954, 0.0064529696776030486, 0.0014100649086264652, 0.0017372208945200698, 0.0008952883935273654, 0.00006940917450756266 ], [ 0.0003230147734233962, -0.0002441475263170601, 0.00035868854669724186, 0.0002191978436227428, 0.0007208934984743826, -0.00018435518793662436, -0.00019607185859426635, -0.0002444906817531658, -0.000032482687272454786 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1689248797434141, 0.034556494132212054, -0.013848650019808175, -0.0023190235586740874 ], [ -0.0034778952889340654, -0.002986372681927108, 0.072716898217739, -0.05106277865307149, -0.10141561847191108, 0.058270390254280297, -0.025165433744222507, -0.003995282587194006, -0.0035059860201869402 ], [ 0.00008170705574762666, -0.0006329702832963276, -0.006992409685943085, -0.01371441550751168, 0.01055049694049255, 0.004657938974507091, 0.008546981558293438, -0.0015956016065493074, 0.0006251712485352428 ], [ -0.00036072195422588087, 0.0018481208005206818, -0.005289145725611361, 0.004527503609687312, 0.004191917418106528, -0.0009861381138148507, -0.00033326343216451065, -0.0006599731267137077, -0.0007496878098828144 ], [ 0.00013158806905070653, -0.0005038670033469207, 0.0007085780467207268, 0.001532113001848763, -0.001128279890664724, -0.001114552244801121, 0.00005542438909373395, 0.00019875648466846621, 0.00010578431305590459 ] ]

DdpvyEDLSTu3xiCKGKwWCDV

{"aspect_ratio": 7.771761756528129, "major_radius": 1.0, "max_elongation": 4.120888238075493, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2035987721995346, -0.07573248180478344, 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": [[0.875973151783848, 0.8759764983990868, 0.8760195236759337, 0.8761830504335891, 0.8765737533672635, 0.8773092346055796, 0.8785069180209928, 0.8802757227086592, 0.8827099570434948, 0.8858850488610431, 0.889854814469499, 0.8946500213683924, 0.9002780347658761, 0.9067233639223925, 0.9139489447337923, 0.9218980118009009, 0.9304964276696466, 0.9396553496736824, 0.9492741263251272, 0.9592433257834967, 0.9694478087994952, 0.9797697678300592, 0.990091662864492, 1.0002989929716652, 1.01028285073851, 1.0199422146698411, 1.029185942298088, 1.0379344342402939, 1.0461209467644994, 1.05369253760966, 1.0606106368604373, 1.0668512416257967, 1.0724047401214614, 1.0772753775225103, 1.0814803826440498, 1.0850487811344027, 1.0880199274354572, 1.0904417942871973, 1.0923690650365416, 1.0938610804632323, 1.0949796982673505, 1.0957871297851258, 1.0963438249255777, 1.0967064827675475, 1.0969262717487527, 1.0970473499507027, 1.0971057826910584, 1.0971289615738682, 1.0971356365019242, 1.097136680337814, 1.097136716120292], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7479240807575764}

7.771762

1

4.120888

[ [ 0.875973151783848, 0.8759764983990868, 0.8760195236759337, 0.8761830504335891, 0.8765737533672635, 0.8773092346055796, 0.8785069180209928, 0.8802757227086592, 0.8827099570434948, 0.8858850488610431, 0.889854814469499, 0.8946500213683924, 0.9002780347658761, 0.9067233639223925, 0.9139489447337923, 0.9218980118009009, 0.9304964276696466, 0.9396553496736824, 0.9492741263251272, 0.9592433257834967, 0.9694478087994952, 0.9797697678300592, 0.990091662864492, 1.0002989929716652, 1.01028285073851, 1.0199422146698411, 1.029185942298088, 1.0379344342402939, 1.0461209467644994, 1.05369253760966, 1.0606106368604373, 1.0668512416257967, 1.0724047401214614, 1.0772753775225103, 1.0814803826440498, 1.0850487811344027, 1.0880199274354572, 1.0904417942871973, 1.0923690650365416, 1.0938610804632323, 1.0949796982673505, 1.0957871297851258, 1.0963438249255777, 1.0967064827675475, 1.0969262717487527, 1.0970473499507027, 1.0971057826910584, 1.0971289615738682, 1.0971356365019242, 1.097136680337814, 1.097136716120292 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2035987721995346, -0.07573248180478344, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.747924

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

DPCEVpsPTrqJ2YEnTcR8EBW

null

false

null

false

DiftUgkL84LH5QSjWUU3pwG

DeScyLsLaVjwzqatbbKh3zQ

{"qi": 0.006322338342583948, "vacuum_well": -0.07239277240324056, "aspect_ratio": 8.837877330249894, "max_elongation": 6.403366293127412, "average_triangularity": 0.3055998602757149, "axis_magnetic_mirror_ratio": 0.34398949695121506, "edge_magnetic_mirror_ratio": 0.3870475380946117, "aspect_ratio_over_edge_rotational_transform": 7.332754765337321, "flux_compression_in_regions_of_bad_curvature": 1.4172515527929235, "axis_rotational_transform_over_n_field_periods": 0.28912368744080535, "edge_rotational_transform_over_n_field_periods": 0.3013150450642179, "minimum_normalized_magnetic_gradient_scale_length": 9.328405043313735}

8.837877

7.332755

0.395954

0.343989

0.289124

0.387048

0.301315

1.417252

6.403366

9.328405

0.006322

-0.072393

{"r_cos":[[0.0,0.0,0.0,0.0,0.9946207299653048,0.0006920691890129128,-0.006054225596219359,0.001407531827119812,0.00016727697164053415],[-0.00018148284719310132,-0.0015029594841567762,-0.025538582860730595,-0.06486232678470405,0.14899656621052168,-0.016089149886481132,0.0011056771759498148,-0.0008108028430807707,0.00015276254540050923],[0.00010290355199895719,0.0032160835762081825,0.013101557190941502,0.027911519758697573,-0.034460035882365146,0.01715520080115436,-0.0028503024887617696,0.0002851620963704273,-0.000036411072819521884],[0.0002234953674795859,0.0003475217416478083,-0.00024228717059358125,-0.005360575428356103,0.003920277115120516,-0.0014731361199203884,-0.000017074456025886493,0.0002521672523667786,-0.00006813251453983675],[0.000055842426009439705,-0.0000656642230608753,0.00021585389755473681,-0.00017194329998882624,0.00027324858614159557,-0.0001486018156059074,-0.00010170608100887535,0.00003597394075662965,-7.180303278446704e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07618498325206577,0.0017562308117851574,0.0004544548145721137,-0.00024352463018816048],[-0.001146775773204497,-0.0026777867789714357,-0.015898229836912265,-0.09718401450289907,-0.12245002426401931,0.028952821014518328,-0.003749976768606449,0.0003753896031033852,0.00001581318546272487],[-0.00009635611676016398,0.001712637416960518,0.007113387473680622,0.007967546034574507,0.002581825189820586,-0.010417990441210919,0.00501059293003902,-0.0013519481140262136,0.00023282372968881613],[-0.0000656861522792641,-0.0012679473605970355,-0.001447203535179272,0.0038804826324470793,0.0011074878888725683,-0.0015717452503922653,0.0008289816677662582,-0.00030495957481830053,0.00007663430637825065],[0.0001527683105501784,0.0002451551001097342,0.0005628652033262467,-0.0010933424397105438,0.00010606910233344107,0.0005088713899569532,-0.00021818220865795564,0.00005309142914532843,-7.585603715354241e-7]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9946207299653048, 0.0006920691890129128, -0.006054225596219359, 0.001407531827119812, 0.00016727697164053415 ], [ -0.00018148284719310132, -0.0015029594841567762, -0.025538582860730595, -0.06486232678470405, 0.14899656621052168, -0.016089149886481132, 0.0011056771759498148, -0.0008108028430807707, 0.00015276254540050923 ], [ 0.00010290355199895719, 0.0032160835762081825, 0.013101557190941502, 0.027911519758697573, -0.034460035882365146, 0.01715520080115436, -0.0028503024887617696, 0.0002851620963704273, -0.000036411072819521884 ], [ 0.0002234953674795859, 0.0003475217416478083, -0.00024228717059358125, -0.005360575428356103, 0.003920277115120516, -0.0014731361199203884, -0.000017074456025886493, 0.0002521672523667786, -0.00006813251453983675 ], [ 0.000055842426009439705, -0.0000656642230608753, 0.00021585389755473681, -0.00017194329998882624, 0.00027324858614159557, -0.0001486018156059074, -0.00010170608100887535, 0.00003597394075662965, -0.000007180303278446704 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07618498325206577, 0.0017562308117851574, 0.0004544548145721137, -0.00024352463018816048 ], [ -0.001146775773204497, -0.0026777867789714357, -0.015898229836912265, -0.09718401450289907, -0.12245002426401931, 0.028952821014518328, -0.003749976768606449, 0.0003753896031033852, 0.00001581318546272487 ], [ -0.00009635611676016398, 0.001712637416960518, 0.007113387473680622, 0.007967546034574507, 0.002581825189820586, -0.010417990441210919, 0.00501059293003902, -0.0013519481140262136, 0.00023282372968881613 ], [ -0.0000656861522792641, -0.0012679473605970355, -0.001447203535179272, 0.0038804826324470793, 0.0011074878888725683, -0.0015717452503922653, 0.0008289816677662582, -0.00030495957481830053, 0.00007663430637825065 ], [ 0.0001527683105501784, 0.0002451551001097342, 0.0005628652033262467, -0.0010933424397105438, 0.00010606910233344107, 0.0005088713899569532, -0.00021818220865795564, 0.00005309142914532843, -7.585603715354241e-7 ] ]

DXzknRvRRaBBnpKGyweADoz

{"aspect_ratio": 8.377274883612271, "major_radius": 1.0, "max_elongation": 6.208968366019596, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.21210951449470117, -0.0161161062576914, 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": [[0.6496641287257241, 0.6496691224325518, 0.6497485404314676, 0.6500912906873798, 0.6509825290190182, 0.6527659372977161, 0.6558078223873647, 0.6604659242437245, 0.6670638740204217, 0.6758714753633269, 0.6870906027541658, 0.7008463052660563, 0.7171825904779727, 0.7360623037871157, 0.7573704931981187, 0.7809206475138198, 0.8064632097064744, 0.8336957925345339, 0.862274557046738, 0.8918262542338722, 0.9219604740807361, 0.952281693357806, 0.9824007626643809, 1.011945523674097, 1.0405702985586294, 1.0679640445959688, 1.093857017499914, 1.1180258365862592, 1.1402968931075317, 1.1605480895594453, 1.1787089421249852, 1.1947591203235535, 1.208725537023994, 1.220678137909251, 1.2307245718842101, 1.2390039524160026, 1.2456799439797286, 1.2509334272063164, 1.254955010495596, 1.25793766419955, 1.2600697553366174, 1.2615287553769352, 1.262475879968516, 1.2630518963235131, 1.263374299733342, 1.2635360131126534, 1.263605699380914, 1.2636296909337963, 1.2636354251083506, 1.2636361134976535, 1.2636361288521918], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1196608054174757}

8.377275

1

6.208968

[ [ 0.6496641287257241, 0.6496691224325518, 0.6497485404314676, 0.6500912906873798, 0.6509825290190182, 0.6527659372977161, 0.6558078223873647, 0.6604659242437245, 0.6670638740204217, 0.6758714753633269, 0.6870906027541658, 0.7008463052660563, 0.7171825904779727, 0.7360623037871157, 0.7573704931981187, 0.7809206475138198, 0.8064632097064744, 0.8336957925345339, 0.862274557046738, 0.8918262542338722, 0.9219604740807361, 0.952281693357806, 0.9824007626643809, 1.011945523674097, 1.0405702985586294, 1.0679640445959688, 1.093857017499914, 1.1180258365862592, 1.1402968931075317, 1.1605480895594453, 1.1787089421249852, 1.1947591203235535, 1.208725537023994, 1.220678137909251, 1.2307245718842101, 1.2390039524160026, 1.2456799439797286, 1.2509334272063164, 1.254955010495596, 1.25793766419955, 1.2600697553366174, 1.2615287553769352, 1.262475879968516, 1.2630518963235131, 1.263374299733342, 1.2635360131126534, 1.263605699380914, 1.2636296909337963, 1.2636354251083506, 1.2636361134976535, 1.2636361288521918 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.21210951449470117, -0.0161161062576914, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.119661

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

DBK6EmhtszozPbxcFAUpMTt

null

false

null

false

DgZw27P8ihy5WZFFLQyQ2FE

DGmwkFrUUerTEJceUuhstva

{"qi": 0.0060493939848695125, "vacuum_well": -0.24482236838032204, "aspect_ratio": 9.448651044243977, "max_elongation": 4.675617578009789, "average_triangularity": -0.31510103160407643, "axis_magnetic_mirror_ratio": 0.3404051245994554, "edge_magnetic_mirror_ratio": 0.4674153133717206, "aspect_ratio_over_edge_rotational_transform": 11.808398141583927, "flux_compression_in_regions_of_bad_curvature": 0.9216331407188764, "axis_rotational_transform_over_n_field_periods": 0.29469898225774727, "edge_rotational_transform_over_n_field_periods": 0.20004091433388477, "minimum_normalized_magnetic_gradient_scale_length": 4.710460617448034}

9.448651

11.808398

-0.504927

0.340405

0.294699

0.467415

0.200041

0.921633

4.675618

4.710461

0.006049

-0.244822

{"r_cos":[[0.0,0.0,0.0,0.0,0.9998930917005546,-0.05995384810335783,-0.007065873663770041,0.0019794672524504203,0.0001704643618247984],[-0.00001783692641306575,0.00056007739537307,0.03702444703955827,-0.029875337654254604,0.10626943165512405,-0.03402533901761825,0.0007304959378421766,0.0016497010949113146,-0.00033532456108613785],[-0.0001659471287444942,-0.004941634864575384,-0.02551361019611177,0.028704861676827932,0.0013404134528113808,-0.0031360076766555386,-0.0029651871175569566,0.0017224355360525227,-0.00009444875030742924],[-0.0009955762316512789,0.003029605406515051,0.00780148655342724,0.004870533742778955,0.007454457739337697,-0.0031870249077188433,0.000438243134095163,0.00009378246023019872,0.00005772872260029232],[0.00029654822913675937,-0.002212091171639184,-0.002891174247960597,0.0011582069955300284,0.0005569472290143851,0.00014401873123264322,-0.0003365220464602184,0.00022596906763625913,-0.000030081384934000797]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07418431602903633,0.00752176123964156,-3.358068438828569e-6,0.0004706594918681261],[-0.0004469737662923795,-0.000554954836543734,0.044174282873859674,-0.04321796480959008,-0.1381537590379113,0.048391676119030815,-0.0056954719335618915,-0.0007088847178703426,0.0006361292915062609],[0.00020000898885527512,-0.0023920138942936315,-0.019021395502320352,0.00788970517239263,-0.013738164372539469,0.007409730621268366,0.0028687648732289295,-0.0017624893367853298,0.00035915248688304046],[-0.0011115672464710124,0.002151525472940556,0.004597169859722461,0.0035145251858049722,-0.0044757783277358945,0.0009926603573500164,0.0001829512649053509,0.000018471383027801906,-0.00008280391056732499],[0.00020884621665721729,-0.0013221583500178926,0.001476262410573984,-0.0007616610529859,0.0000908886366093112,0.00021071832509106636,0.000024593123499484348,-0.00005741507891603517,0.000017758037912231597]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9998930917005546, -0.05995384810335783, -0.007065873663770041, 0.0019794672524504203, 0.0001704643618247984 ], [ -0.00001783692641306575, 0.00056007739537307, 0.03702444703955827, -0.029875337654254604, 0.10626943165512405, -0.03402533901761825, 0.0007304959378421766, 0.0016497010949113146, -0.00033532456108613785 ], [ -0.0001659471287444942, -0.004941634864575384, -0.02551361019611177, 0.028704861676827932, 0.0013404134528113808, -0.0031360076766555386, -0.0029651871175569566, 0.0017224355360525227, -0.00009444875030742924 ], [ -0.0009955762316512789, 0.003029605406515051, 0.00780148655342724, 0.004870533742778955, 0.007454457739337697, -0.0031870249077188433, 0.000438243134095163, 0.00009378246023019872, 0.00005772872260029232 ], [ 0.00029654822913675937, -0.002212091171639184, -0.002891174247960597, 0.0011582069955300284, 0.0005569472290143851, 0.00014401873123264322, -0.0003365220464602184, 0.00022596906763625913, -0.000030081384934000797 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07418431602903633, 0.00752176123964156, -0.000003358068438828569, 0.0004706594918681261 ], [ -0.0004469737662923795, -0.000554954836543734, 0.044174282873859674, -0.04321796480959008, -0.1381537590379113, 0.048391676119030815, -0.0056954719335618915, -0.0007088847178703426, 0.0006361292915062609 ], [ 0.00020000898885527512, -0.0023920138942936315, -0.019021395502320352, 0.00788970517239263, -0.013738164372539469, 0.007409730621268366, 0.0028687648732289295, -0.0017624893367853298, 0.00035915248688304046 ], [ -0.0011115672464710124, 0.002151525472940556, 0.004597169859722461, 0.0035145251858049722, -0.0044757783277358945, 0.0009926603573500164, 0.0001829512649053509, 0.000018471383027801906, -0.00008280391056732499 ], [ 0.00020884621665721729, -0.0013221583500178926, 0.001476262410573984, -0.0007616610529859, 0.0000908886366093112, 0.00021071832509106636, 0.000024593123499484348, -0.00005741507891603517, 0.000017758037912231597 ] ]

DQ9jWSrocV8jw6NDftDpS3h

{"aspect_ratio": 10.500950606908447, "major_radius": 1.0, "max_elongation": 6.984782484457162, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.05966276500194894, 0.15550220996443997, 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": [[0.5937217843952665, 0.5937219827070142, 0.593728757667978, 0.5937758595912799, 0.5939474324386705, 0.5943918753938183, 0.5953256572378383, 0.5970283189180546, 0.5998304704821925, 0.6040967364568857, 0.6102055557848673, 0.618527590637593, 0.629404289666672, 0.6431279127994122, 0.6599240737958244, 0.6799376050835848, 0.7032223050057904, 0.7297348963942454, 0.759333311568561, 0.7917792255535957, 0.8267445887272492, 0.8638217637972193, 0.9025367509478153, 0.9423648897271186, 0.9827483569006363, 1.0231147358778838, 1.0628959149141595, 1.1015465773108284, 1.1385615762294727, 1.1734915381913424, 1.2059561112990869, 1.2356543648912401, 1.2623719546678525, 1.2859847889925335, 1.3064590654885682, 1.32384768931017, 1.3382832323570253, 1.3499677426078653, 1.3591598606395139, 1.3661598417209864, 1.3712932114541085, 1.3748938948220704, 1.3772877457541792, 1.3787774586333725, 1.3796298544224597, 1.3800664894175156, 1.3802584170072294, 1.380325718164352, 1.3803420676964198, 1.3803440559093962, 1.3803441005411878], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.123178632702432}

10.500951

1

6.984782

[ [ 0.5937217843952665, 0.5937219827070142, 0.593728757667978, 0.5937758595912799, 0.5939474324386705, 0.5943918753938183, 0.5953256572378383, 0.5970283189180546, 0.5998304704821925, 0.6040967364568857, 0.6102055557848673, 0.618527590637593, 0.629404289666672, 0.6431279127994122, 0.6599240737958244, 0.6799376050835848, 0.7032223050057904, 0.7297348963942454, 0.759333311568561, 0.7917792255535957, 0.8267445887272492, 0.8638217637972193, 0.9025367509478153, 0.9423648897271186, 0.9827483569006363, 1.0231147358778838, 1.0628959149141595, 1.1015465773108284, 1.1385615762294727, 1.1734915381913424, 1.2059561112990869, 1.2356543648912401, 1.2623719546678525, 1.2859847889925335, 1.3064590654885682, 1.32384768931017, 1.3382832323570253, 1.3499677426078653, 1.3591598606395139, 1.3661598417209864, 1.3712932114541085, 1.3748938948220704, 1.3772877457541792, 1.3787774586333725, 1.3796298544224597, 1.3800664894175156, 1.3802584170072294, 1.380325718164352, 1.3803420676964198, 1.3803440559093962, 1.3803441005411878 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.05966276500194894, 0.15550220996443997, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.123179

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

D9yBef74D6ZmsFEKXLxt9Yq

null

false

null

false

DBggCzLaciNkF8p7mUvCpUi

DEArnFKGeyUbRjByRGFMnUa

{"qi": 0.019204197280562704, "vacuum_well": -0.16388234573666083, "aspect_ratio": 10.265585710698451, "max_elongation": 3.065100525609464, "average_triangularity": -0.37799955112182376, "axis_magnetic_mirror_ratio": 0.14457062921345293, "edge_magnetic_mirror_ratio": 0.23512090832176913, "aspect_ratio_over_edge_rotational_transform": 19.197739461548966, "flux_compression_in_regions_of_bad_curvature": 0.7020623924530092, "axis_rotational_transform_over_n_field_periods": 0.16580507361229757, "edge_rotational_transform_over_n_field_periods": 0.10694577589470186, "minimum_normalized_magnetic_gradient_scale_length": 6.428493158466449}

10.265586

19.197739

-0.692299

0.144571

0.165805

0.235121

0.106946

0.702062

3.065101

6.428493

0.019204

-0.163882

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.02314849990060383,-0.0014939558614957792,0.0002470219670796057,-0.00027148752683367076],[-0.000977840054051267,0.0017954869546619218,0.02370743558646691,-0.015207361414075315,0.08243695332133325,0.004454287297895248,-0.0058022149849384745,-0.0007581320295464408,0.0003159153864015951],[0.0003208751236503985,-0.0005896361422385015,-0.020432398195777933,0.006889898598368765,0.0029752255205369015,0.004283169469952088,-0.0027634810571881743,-0.00006926324735064861,0.000409745658432697],[-0.00033877233818611175,0.00018951687894327047,0.00603287030233105,0.0013980683020359413,0.005634633558837982,0.0019647438160328356,-0.001284122944859346,-0.00007244441006084521,0.00008089408478922884],[0.00028571549004192595,-0.00025168137771007114,-0.0014872800957830177,0.0006342141275514338,0.00121555048612265,0.0004254533869054235,-0.0002024794036927743,0.00005252897601981455,-0.0000176890180904507]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03286975387927278,0.0005883397348090739,0.00045140634746335486,-1.8354663081383105e-6],[-0.000162095408672554,0.00029268051735413807,0.019922581695856277,0.0010854732244743306,-0.13216317918142137,0.012121351952675191,0.004253727816150131,-0.00013880301876216893,-0.00012808539848453511],[0.000426942611037668,0.00022028256870122216,-0.017994305152840246,0.002993525196826816,-0.018175829185242624,-0.0009609572756322199,0.00447055393195861,-0.0004977447043312295,-0.00018061937568746535],[-0.0009691634351673152,0.0007489258533677804,0.0062264665980975645,-0.0011225804571234406,-0.005642295713554131,-0.001257240752446507,0.001959377781022923,-0.00004784739082667897,-0.0000861901634332836],[0.00024073499297013346,-0.0003991000169895299,-0.00034922887545991597,0.00008789582461702263,-0.0016236766299692518,-0.00022424504529584198,0.00043037474967777154,-8.749084280210286e-6,-8.991542891869354e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.02314849990060383, -0.0014939558614957792, 0.0002470219670796057, -0.00027148752683367076 ], [ -0.000977840054051267, 0.0017954869546619218, 0.02370743558646691, -0.015207361414075315, 0.08243695332133325, 0.004454287297895248, -0.0058022149849384745, -0.0007581320295464408, 0.0003159153864015951 ], [ 0.0003208751236503985, -0.0005896361422385015, -0.020432398195777933, 0.006889898598368765, 0.0029752255205369015, 0.004283169469952088, -0.0027634810571881743, -0.00006926324735064861, 0.000409745658432697 ], [ -0.00033877233818611175, 0.00018951687894327047, 0.00603287030233105, 0.0013980683020359413, 0.005634633558837982, 0.0019647438160328356, -0.001284122944859346, -0.00007244441006084521, 0.00008089408478922884 ], [ 0.00028571549004192595, -0.00025168137771007114, -0.0014872800957830177, 0.0006342141275514338, 0.00121555048612265, 0.0004254533869054235, -0.0002024794036927743, 0.00005252897601981455, -0.0000176890180904507 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03286975387927278, 0.0005883397348090739, 0.00045140634746335486, -0.0000018354663081383105 ], [ -0.000162095408672554, 0.00029268051735413807, 0.019922581695856277, 0.0010854732244743306, -0.13216317918142137, 0.012121351952675191, 0.004253727816150131, -0.00013880301876216893, -0.00012808539848453511 ], [ 0.000426942611037668, 0.00022028256870122216, -0.017994305152840246, 0.002993525196826816, -0.018175829185242624, -0.0009609572756322199, 0.00447055393195861, -0.0004977447043312295, -0.00018061937568746535 ], [ -0.0009691634351673152, 0.0007489258533677804, 0.0062264665980975645, -0.0011225804571234406, -0.005642295713554131, -0.001257240752446507, 0.001959377781022923, -0.00004784739082667897, -0.0000861901634332836 ], [ 0.00024073499297013346, -0.0003991000169895299, -0.00034922887545991597, 0.00008789582461702263, -0.0016236766299692518, -0.00022424504529584198, 0.00043037474967777154, -0.000008749084280210286, -0.000008991542891869354 ] ]

DPTxnLwjBTaRCGeYFs9YPMm

{"aspect_ratio": 10.114273276579308, "major_radius": 1.0, "max_elongation": 4.658324101182929, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.18761652787163674, -0.05162760883561723, 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": [[0.8712915876152953, 0.8712916050948569, 0.8712921503900842, 0.871295814891035, 0.8713090799248863, 0.8713437822666721, 0.871418200062479, 0.8715577669831974, 0.8717954309133016, 0.8721716778706609, 0.8727342445819661, 0.8735375450254491, 0.8746418376565657, 0.8761121611346883, 0.8780170672714118, 0.8804271806854717, 0.8834136153151549, 0.8870462785333206, 0.891392094151741, 0.8965131761044851, 0.9024649850752999, 0.9092945007901057, 0.9170384431401151, 0.9257215757401865, 0.9353551259668375, 0.9459353559667716, 0.9574423195858877, 0.969838840647096, 0.9830697485102652, 0.9970614073878585, 1.0117215764756748, 1.0269396386023666, 1.0425872358202732, 1.0585193511744664, 1.0745758768243427, 1.0905837097897317, 1.1063594179023075, 1.1217125201348552, 1.1364494274589438, 1.1503780928987382, 1.1633134227383886, 1.1750835052712874, 1.185536719657898, 1.194549796430913, 1.2020369148628354, 1.2079599445353026, 1.2123399770370131, 1.2152703680590624, 1.2169316749443648, 1.2176093302490019, 1.217716899849083], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7392203228793915}

10.114273

1

4.658324

[ [ 0.8712915876152953, 0.8712916050948569, 0.8712921503900842, 0.871295814891035, 0.8713090799248863, 0.8713437822666721, 0.871418200062479, 0.8715577669831974, 0.8717954309133016, 0.8721716778706609, 0.8727342445819661, 0.8735375450254491, 0.8746418376565657, 0.8761121611346883, 0.8780170672714118, 0.8804271806854717, 0.8834136153151549, 0.8870462785333206, 0.891392094151741, 0.8965131761044851, 0.9024649850752999, 0.9092945007901057, 0.9170384431401151, 0.9257215757401865, 0.9353551259668375, 0.9459353559667716, 0.9574423195858877, 0.969838840647096, 0.9830697485102652, 0.9970614073878585, 1.0117215764756748, 1.0269396386023666, 1.0425872358202732, 1.0585193511744664, 1.0745758768243427, 1.0905837097897317, 1.1063594179023075, 1.1217125201348552, 1.1364494274589438, 1.1503780928987382, 1.1633134227383886, 1.1750835052712874, 1.185536719657898, 1.194549796430913, 1.2020369148628354, 1.2079599445353026, 1.2123399770370131, 1.2152703680590624, 1.2169316749443648, 1.2176093302490019, 1.217716899849083 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.18761652787163674, -0.05162760883561723, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.73922

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

DA2PcxFUnFuLAAPkTPmwKx8

null

false

null

false

DHmuVvRq6BhsFjVAeKn5aTh

Dkx9mA2TqxztGzMCmf6Xb4z

{"qi": 0.004080832512294411, "vacuum_well": -0.12664993832732618, "aspect_ratio": 8.94691858627667, "max_elongation": 6.750276923654548, "average_triangularity": -0.3313600326916162, "axis_magnetic_mirror_ratio": 0.3362637208754971, "edge_magnetic_mirror_ratio": 0.3987277916279451, "aspect_ratio_over_edge_rotational_transform": 17.08817519728906, "flux_compression_in_regions_of_bad_curvature": 1.3595686513674587, "axis_rotational_transform_over_n_field_periods": 0.1533179380094177, "edge_rotational_transform_over_n_field_periods": 0.1308934172751232, "minimum_normalized_magnetic_gradient_scale_length": 5.381684514258402}

8.946919

17.088175

-0.483068

0.336264

0.153318

0.398728

0.130893

1.359569

6.750277

5.381685

0.004081

-0.12665

{"r_cos":[[0.0,0.0,0.0,0.0,0.9952378885938472,-0.015893393682451337,-0.023245187938516047,0.0030878954742004933,-0.0005596482154359132],[-0.0020251388560313726,-0.007288417742690175,-0.01912176411418728,-0.048874185194702595,0.1634387093572289,-0.004060551193725961,-0.019055486746980498,0.0009378010008617202,-0.00005710781204880649],[-0.0007463647510920919,0.0005031354606470683,-0.0027460897392165354,0.01009583442385978,-0.03917910327852721,0.01859153763539896,0.001547102285160298,-0.0017086719703094805,0.00010680010865979654],[0.000847164020955196,0.0009464838784552839,0.0026383402937239825,-0.0005346961117097524,0.006716222425777289,-0.00452799388967403,0.0007807812584453414,-0.00018880720846994897,-0.000035452874828169865],[-0.00025817976079449005,0.00011409855323133149,-0.0012949391875381297,0.00020202235397334374,-0.001172370036782765,0.000314812322286816,0.000259117143176104,-0.00003854958105114494,0.000035474083906358295]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.11504451253605262,0.013225494068474074,0.0010649324792553084,-0.00015151753066898477],[0.00032526312181312914,-0.0064391690096861735,-0.007058197764388513,-0.08124805210673489,-0.10404435698185492,0.07279730416972124,-0.008038696105489311,0.0015340283019677908,-0.000027583980037658093],[-0.0009090875695429243,-0.0001781025215957504,-0.0035729875339148625,0.0034106946647983393,-0.011793683969118049,-0.0070437763868004604,0.006473381200227997,-0.001470137672484486,0.00017413976240950393],[0.000341073661893484,0.0007819194896034399,0.0019495874776175232,0.0003290280232556824,0.006390803164033927,-0.005379084531152488,0.0017144726168452301,0.00024896010690836167,-0.0001803380486649206],[-0.000058676093466113774,-0.0003963025764211611,0.0007911862977410527,-0.0018193139689613887,0.0018709577457361017,-0.0006100341489635736,-0.0001659313315872303,-0.00012024492548541957,0.00003685456850480303]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9952378885938472, -0.015893393682451337, -0.023245187938516047, 0.0030878954742004933, -0.0005596482154359132 ], [ -0.0020251388560313726, -0.007288417742690175, -0.01912176411418728, -0.048874185194702595, 0.1634387093572289, -0.004060551193725961, -0.019055486746980498, 0.0009378010008617202, -0.00005710781204880649 ], [ -0.0007463647510920919, 0.0005031354606470683, -0.0027460897392165354, 0.01009583442385978, -0.03917910327852721, 0.01859153763539896, 0.001547102285160298, -0.0017086719703094805, 0.00010680010865979654 ], [ 0.000847164020955196, 0.0009464838784552839, 0.0026383402937239825, -0.0005346961117097524, 0.006716222425777289, -0.00452799388967403, 0.0007807812584453414, -0.00018880720846994897, -0.000035452874828169865 ], [ -0.00025817976079449005, 0.00011409855323133149, -0.0012949391875381297, 0.00020202235397334374, -0.001172370036782765, 0.000314812322286816, 0.000259117143176104, -0.00003854958105114494, 0.000035474083906358295 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.11504451253605262, 0.013225494068474074, 0.0010649324792553084, -0.00015151753066898477 ], [ 0.00032526312181312914, -0.0064391690096861735, -0.007058197764388513, -0.08124805210673489, -0.10404435698185492, 0.07279730416972124, -0.008038696105489311, 0.0015340283019677908, -0.000027583980037658093 ], [ -0.0009090875695429243, -0.0001781025215957504, -0.0035729875339148625, 0.0034106946647983393, -0.011793683969118049, -0.0070437763868004604, 0.006473381200227997, -0.001470137672484486, 0.00017413976240950393 ], [ 0.000341073661893484, 0.0007819194896034399, 0.0019495874776175232, 0.0003290280232556824, 0.006390803164033927, -0.005379084531152488, 0.0017144726168452301, 0.00024896010690836167, -0.0001803380486649206 ], [ -0.000058676093466113774, -0.0003963025764211611, 0.0007911862977410527, -0.0018193139689613887, 0.0018709577457361017, -0.0006100341489635736, -0.0001659313315872303, -0.00012024492548541957, 0.00003685456850480303 ] ]

DDBzpWmwAmEbTueX2Qvsbni

{"aspect_ratio": 8.48065041145569, "major_radius": 1.0, "max_elongation": 6.26622179497172, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.049578045174998656, -0.28746279659983204, 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": [[0.7149205316261444, 0.7149211770262874, 0.7149323443029603, 0.7149843375160793, 0.7151295752062232, 0.715441152418548, 0.7160104204178425, 0.7169440558071684, 0.7183608470518821, 0.7203883354812903, 0.7231594034897166, 0.7268088776578533, 0.7314701990220082, 0.7372722024472076, 0.7443360398971751, 0.752772277200106, 0.762678190025057, 0.7741352818075204, 0.7872070440377918, 0.8019369774824109, 0.8183468914316997, 0.8364354968747015, 0.8561773085394726, 0.8775218699607907, 0.9003933151195164, 0.9246902797173077, 0.9502861747930577, 0.9770298351446208, 1.0047465548873546, 1.0332395224604598, 1.062291667488626, 1.0916679321310387, 1.1211179799198672, 1.1503793556319104, 1.1791811104874073, 1.2072479079824754, 1.2343046270123783, 1.2600814807424854, 1.2843196720953136, 1.3067776099915105, 1.3272377149917816, 1.345513849347987, 1.3614594157067041, 1.3749761826045064, 1.3860239167592283, 1.394630938564557, 1.4009057823930833, 1.4050502720975957, 1.407374614567599, 1.4083159429266803, 1.4084655077070058], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.5875517386847956}

8.48065

1

6.266222

[ [ 0.7149205316261444, 0.7149211770262874, 0.7149323443029603, 0.7149843375160793, 0.7151295752062232, 0.715441152418548, 0.7160104204178425, 0.7169440558071684, 0.7183608470518821, 0.7203883354812903, 0.7231594034897166, 0.7268088776578533, 0.7314701990220082, 0.7372722024472076, 0.7443360398971751, 0.752772277200106, 0.762678190025057, 0.7741352818075204, 0.7872070440377918, 0.8019369774824109, 0.8183468914316997, 0.8364354968747015, 0.8561773085394726, 0.8775218699607907, 0.9003933151195164, 0.9246902797173077, 0.9502861747930577, 0.9770298351446208, 1.0047465548873546, 1.0332395224604598, 1.062291667488626, 1.0916679321310387, 1.1211179799198672, 1.1503793556319104, 1.1791811104874073, 1.2072479079824754, 1.2343046270123783, 1.2600814807424854, 1.2843196720953136, 1.3067776099915105, 1.3272377149917816, 1.345513849347987, 1.3614594157067041, 1.3749761826045064, 1.3860239167592283, 1.394630938564557, 1.4009057823930833, 1.4050502720975957, 1.407374614567599, 1.4083159429266803, 1.4084655077070058 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.049578045174998656, -0.28746279659983204, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.587552

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

DYaaJiDxreL7BSxVFpr8QuD

null

false

null

false

DQvwRro3H5rQ86LNsxWL9Di

DBxeKLarX96zaMizzpNjUB7

{"qi": 0.005256587028678704, "vacuum_well": -0.11079837759020308, "aspect_ratio": 8.82184526574545, "max_elongation": 7.046640008667363, "average_triangularity": 0.1143309685547659, "axis_magnetic_mirror_ratio": 0.41203053602138845, "edge_magnetic_mirror_ratio": 0.4310986064647203, "aspect_ratio_over_edge_rotational_transform": 11.371047476964248, "flux_compression_in_regions_of_bad_curvature": 1.8675164400226556, "axis_rotational_transform_over_n_field_periods": 0.19279928801710666, "edge_rotational_transform_over_n_field_periods": 0.193954103252514, "minimum_normalized_magnetic_gradient_scale_length": 8.08022030415421}

8.821845

11.371047

0.092998

0.412031

0.192799

0.431099

0.193954

1.867516

7.04664

8.08022

0.005257

-0.110798

{"r_cos":[[0.0,0.0,0.0,0.0,0.9938371167917854,0.029847571689489087,-0.0280261180600939,-0.000043629567021806134,0.001210665200983107],[-0.0007571684858904716,-0.007773390853312873,-0.03756881206330561,-0.036893735542539816,0.1308523783864353,-0.0040646952885840075,-0.007915564589922772,0.0025455112057412507,-0.0003164926954096908],[0.0011647108053681123,0.008068134953956297,0.020492082382681708,0.006828358565139892,-0.03558495833128413,0.01695450748361795,0.0004888882794973851,-0.00025933577722137176,-0.00008736207598589749],[-0.00035861871430201603,-0.0010767687866455183,-0.0036369751986740674,-0.002940129916732142,0.0077197555835911355,-0.004054581115790127,0.0017682523822129554,-0.0004925980300386612,0.00016652863400509564],[0.00003379155513330741,0.00016820627441279789,0.00020067488786798142,0.0004435679275719994,-0.0010739013279182901,0.0007606814013489025,-0.0004079134530103078,0.0002325555168975177,-0.00003741459440332207]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04880051931678782,-0.0007455705592071971,-0.001632000739033801,0.00012483482235424621],[-0.0006720067782456916,-0.004269131873242185,-0.020530727364289434,-0.09715308515667868,-0.13366357446949229,0.06240115035345824,-0.02213620149808632,0.0050662639841120615,-0.0005484390871756165],[0.00033044406332600345,0.0007657012220109687,0.00934538913531592,0.021050878751248562,-0.007625054292651479,-0.0052464056458178185,-0.0007288635029618169,0.0004690692232556681,-0.00009906652371137505],[-0.0005508337428260499,-0.001246431124393076,0.00023339784964333235,0.0012827644133552732,0.0015079092178790102,-0.0039052266398163496,0.001636679684030006,-0.0003741326790039749,-0.00006583005031874864],[0.00003770700270140843,0.0001414575615056286,0.000019314391832264658,-0.0005253287304881371,0.00019119996534237458,0.00041457772671591256,-0.00024739173890129114,0.0000209634712263969,2.5860921511369327e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9938371167917854, 0.029847571689489087, -0.0280261180600939, -0.000043629567021806134, 0.001210665200983107 ], [ -0.0007571684858904716, -0.007773390853312873, -0.03756881206330561, -0.036893735542539816, 0.1308523783864353, -0.0040646952885840075, -0.007915564589922772, 0.0025455112057412507, -0.0003164926954096908 ], [ 0.0011647108053681123, 0.008068134953956297, 0.020492082382681708, 0.006828358565139892, -0.03558495833128413, 0.01695450748361795, 0.0004888882794973851, -0.00025933577722137176, -0.00008736207598589749 ], [ -0.00035861871430201603, -0.0010767687866455183, -0.0036369751986740674, -0.002940129916732142, 0.0077197555835911355, -0.004054581115790127, 0.0017682523822129554, -0.0004925980300386612, 0.00016652863400509564 ], [ 0.00003379155513330741, 0.00016820627441279789, 0.00020067488786798142, 0.0004435679275719994, -0.0010739013279182901, 0.0007606814013489025, -0.0004079134530103078, 0.0002325555168975177, -0.00003741459440332207 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04880051931678782, -0.0007455705592071971, -0.001632000739033801, 0.00012483482235424621 ], [ -0.0006720067782456916, -0.004269131873242185, -0.020530727364289434, -0.09715308515667868, -0.13366357446949229, 0.06240115035345824, -0.02213620149808632, 0.0050662639841120615, -0.0005484390871756165 ], [ 0.00033044406332600345, 0.0007657012220109687, 0.00934538913531592, 0.021050878751248562, -0.007625054292651479, -0.0052464056458178185, -0.0007288635029618169, 0.0004690692232556681, -0.00009906652371137505 ], [ -0.0005508337428260499, -0.001246431124393076, 0.00023339784964333235, 0.0012827644133552732, 0.0015079092178790102, -0.0039052266398163496, 0.001636679684030006, -0.0003741326790039749, -0.00006583005031874864 ], [ 0.00003770700270140843, 0.0001414575615056286, 0.000019314391832264658, -0.0005253287304881371, 0.00019119996534237458, 0.00041457772671591256, -0.00024739173890129114, 0.0000209634712263969, 0.0000025860921511369327 ] ]

DNAUDDQo6PheGmrPtH3QLUJ

{"aspect_ratio": 8.342821288640401, "major_radius": 1.0, "max_elongation": 6.559422321662436, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.06278250116121303, -0.15707181658835476, 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": [[0.6705405211626432, 0.6705417832672991, 0.6705624066371902, 0.6706547515866881, 0.670905071522733, 0.6714287683352977, 0.6723647002993364, 0.6738691747166469, 0.6761099223690225, 0.6792602267823604, 0.6834933206900881, 0.6889771276491188, 0.6958694051279108, 0.7043133307546658, 0.7144335629310965, 0.7263327991442348, 0.7400888491536168, 0.7557522352464493, 0.7733443275862566, 0.7928560190937424, 0.8142469411260479, 0.8374452183413886, 0.8623477584585817, 0.8888210700726878, 0.9167025992085622, 0.9458025728305732, 0.9759063350297861, 1.006777159030886, 1.0381595154490835, 1.0697827743261805, 1.1013653153204674, 1.1326190169400439, 1.1632540917987455, 1.192984230417895, 1.2215320109400172, 1.2486345260561986, 1.2740491711977253, 1.2975595292183906, 1.3189812758484953, 1.3381680163378349, 1.3550169457294516, 1.369474201272066, 1.3815397426194371, 1.3912715486928025, 1.3987888505566977, 1.4042740106384888, 1.4079724756675367, 1.4101898948059506, 1.411284794573211, 1.4116534258542008, 1.4116966775841702], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6646385755717739}

8.342821

1

6.559422

[ [ 0.6705405211626432, 0.6705417832672991, 0.6705624066371902, 0.6706547515866881, 0.670905071522733, 0.6714287683352977, 0.6723647002993364, 0.6738691747166469, 0.6761099223690225, 0.6792602267823604, 0.6834933206900881, 0.6889771276491188, 0.6958694051279108, 0.7043133307546658, 0.7144335629310965, 0.7263327991442348, 0.7400888491536168, 0.7557522352464493, 0.7733443275862566, 0.7928560190937424, 0.8142469411260479, 0.8374452183413886, 0.8623477584585817, 0.8888210700726878, 0.9167025992085622, 0.9458025728305732, 0.9759063350297861, 1.006777159030886, 1.0381595154490835, 1.0697827743261805, 1.1013653153204674, 1.1326190169400439, 1.1632540917987455, 1.192984230417895, 1.2215320109400172, 1.2486345260561986, 1.2740491711977253, 1.2975595292183906, 1.3189812758484953, 1.3381680163378349, 1.3550169457294516, 1.369474201272066, 1.3815397426194371, 1.3912715486928025, 1.3987888505566977, 1.4042740106384888, 1.4079724756675367, 1.4101898948059506, 1.411284794573211, 1.4116534258542008, 1.4116966775841702 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.06278250116121303, -0.15707181658835476, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.664639

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

DZocvVDFjbGhmbLsC48pAFE

null

false

null

false

DmSReJd9EwM3LhDthLSnzbz

DfxdB2PSh53cQYLk833YZHU

{"qi": 0.009231508147103233, "vacuum_well": 0.07413546620904506, "aspect_ratio": 9.702414523584782, "max_elongation": 4.848085947701405, "average_triangularity": 0.24393088584694572, "axis_magnetic_mirror_ratio": 0.1690965911551851, "edge_magnetic_mirror_ratio": 0.21941269694913892, "aspect_ratio_over_edge_rotational_transform": 58.383098519966396, "flux_compression_in_regions_of_bad_curvature": 0.7035794961731846, "axis_rotational_transform_over_n_field_periods": 0.1570150230929562, "edge_rotational_transform_over_n_field_periods": 0.16618533050736695, "minimum_normalized_magnetic_gradient_scale_length": 3.560539452970027}

9.702415

58.383099

0.387302

0.169097

0.157015

0.219413

0.166185

0.703579

4.848086

3.560539

0.009232

0.074135

{"r_cos":[[0.0,0.0,0.0,0.0,0.9980591664465096,-0.0013842000232276237,-0.18964530748741332,-0.000686519779957758,0.011493390759643219],[-0.00208049948771385,-0.01582839372487988,0.02738004647202228,0.011168329397566953,0.07417831735201366,-0.03727156432683544,0.03127121532372991,-0.0031697391741038177,-0.0019017310934273941],[0.0019387032038829617,-0.001732176189790293,0.012074224899705907,0.01737542043479584,-0.012340799853404728,-0.011789268663142742,-0.0015717765227735662,0.003345927793365966,-0.00020178583170620738],[-0.0003230212158989601,-0.0021626405313236357,-0.0027593020412459376,0.001695134585454908,0.004055222880988831,-0.00434891204426819,-0.0010068912861377743,0.0008139056074220373,0.00019385673418564973],[0.00012530629304721849,-0.0005667158117754999,0.0004680484887349049,0.00033189530812809077,-0.00030467916896626673,-0.00025028638946772734,-0.00035070994512097095,-0.00015302856272809886,0.0001644110452319131]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12117559220186215,0.0012178635664704014,-0.0156166953088063,0.0030384030425728206],[-0.00006386687371233804,-0.007463060738891758,0.019128382443491583,-0.0997513122800015,-0.09541868513269737,0.08663138047211083,-0.008266976133507214,0.003568219031942787,0.0014132770519282095],[0.0013433955156164268,-0.0020560872550688253,0.007441520264161864,-0.0013791731181142098,-0.002667512733785404,-0.004254041042704814,0.0058178703139645915,-0.00022363438045841294,0.00001722748186280625],[-0.00004873240589596507,0.0007718045165190547,0.00045414937586388195,-0.0007189527382413514,0.0026980732053920177,0.001642570495775291,-0.0002971134555259957,0.00023157460038875923,0.0001652067334748584],[0.00008248901985829181,-0.00024982975279264416,0.00019465308273676664,-0.0005697539706041007,0.0001518935584218688,0.00043595516658123575,-0.00043415325635496645,0.0001169998105142377,-0.00003883286948560877]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9980591664465096, -0.0013842000232276237, -0.18964530748741332, -0.000686519779957758, 0.011493390759643219 ], [ -0.00208049948771385, -0.01582839372487988, 0.02738004647202228, 0.011168329397566953, 0.07417831735201366, -0.03727156432683544, 0.03127121532372991, -0.0031697391741038177, -0.0019017310934273941 ], [ 0.0019387032038829617, -0.001732176189790293, 0.012074224899705907, 0.01737542043479584, -0.012340799853404728, -0.011789268663142742, -0.0015717765227735662, 0.003345927793365966, -0.00020178583170620738 ], [ -0.0003230212158989601, -0.0021626405313236357, -0.0027593020412459376, 0.001695134585454908, 0.004055222880988831, -0.00434891204426819, -0.0010068912861377743, 0.0008139056074220373, 0.00019385673418564973 ], [ 0.00012530629304721849, -0.0005667158117754999, 0.0004680484887349049, 0.00033189530812809077, -0.00030467916896626673, -0.00025028638946772734, -0.00035070994512097095, -0.00015302856272809886, 0.0001644110452319131 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12117559220186215, 0.0012178635664704014, -0.0156166953088063, 0.0030384030425728206 ], [ -0.00006386687371233804, -0.007463060738891758, 0.019128382443491583, -0.0997513122800015, -0.09541868513269737, 0.08663138047211083, -0.008266976133507214, 0.003568219031942787, 0.0014132770519282095 ], [ 0.0013433955156164268, -0.0020560872550688253, 0.007441520264161864, -0.0013791731181142098, -0.002667512733785404, -0.004254041042704814, 0.0058178703139645915, -0.00022363438045841294, 0.00001722748186280625 ], [ -0.00004873240589596507, 0.0007718045165190547, 0.00045414937586388195, -0.0007189527382413514, 0.0026980732053920177, 0.001642570495775291, -0.0002971134555259957, 0.00023157460038875923, 0.0001652067334748584 ], [ 0.00008248901985829181, -0.00024982975279264416, 0.00019465308273676664, -0.0005697539706041007, 0.0001518935584218688, 0.00043595516658123575, -0.00043415325635496645, 0.0001169998105142377, -0.00003883286948560877 ] ]

DN6PCiqhNFC7JmaG3yBPZtV

{"aspect_ratio": 11.981175916907056, "major_radius": 1.0, "max_elongation": 4.517141027634905, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.24177591302765092, -0.1807971869771343, 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": [[0.869951392082247, 0.8699513942112115, 0.8699515198871901, 0.8699527599600223, 0.8699586143997783, 0.8699772710239454, 0.8700239266667605, 0.8701229343573913, 0.8703095341659295, 0.870630992296757, 0.8711470332440344, 0.8719295036635911, 0.8730612542728143, 0.8746342677434717, 0.8767470963625116, 0.8795017033549695, 0.8829998263399522, 0.8873390005738062, 0.8926083935746373, 0.8988846115737632, 0.9062276421622418, 0.9146770966608863, 0.9242489103149168, 0.9349326485840789, 0.9466895537615452, 0.9594514481194099, 0.9731205879697713, 0.987570537691248, 1.0026481041656092, 1.0181763404877755, 1.033958593574781, 1.0497835337618755, 1.0654310660377144, 1.0806789826910974, 1.0953101763427893, 1.1091201912277615, 1.121924849897077, 1.1335676530917544, 1.1439266134656052, 1.1529201504301212, 1.1605116453686353, 1.1667122360730589, 1.1715814195720897, 1.1752250379159248, 1.1777902484654703, 1.1794571390575075, 1.1804267564310353, 1.1809055056809876, 1.181086216843799, 1.1811268327584914, 1.1811292516401537], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.2136113589270226}

11.981176

1

4.517141

[ [ 0.869951392082247, 0.8699513942112115, 0.8699515198871901, 0.8699527599600223, 0.8699586143997783, 0.8699772710239454, 0.8700239266667605, 0.8701229343573913, 0.8703095341659295, 0.870630992296757, 0.8711470332440344, 0.8719295036635911, 0.8730612542728143, 0.8746342677434717, 0.8767470963625116, 0.8795017033549695, 0.8829998263399522, 0.8873390005738062, 0.8926083935746373, 0.8988846115737632, 0.9062276421622418, 0.9146770966608863, 0.9242489103149168, 0.9349326485840789, 0.9466895537615452, 0.9594514481194099, 0.9731205879697713, 0.987570537691248, 1.0026481041656092, 1.0181763404877755, 1.033958593574781, 1.0497835337618755, 1.0654310660377144, 1.0806789826910974, 1.0953101763427893, 1.1091201912277615, 1.121924849897077, 1.1335676530917544, 1.1439266134656052, 1.1529201504301212, 1.1605116453686353, 1.1667122360730589, 1.1715814195720897, 1.1752250379159248, 1.1777902484654703, 1.1794571390575075, 1.1804267564310353, 1.1809055056809876, 1.181086216843799, 1.1811268327584914, 1.1811292516401537 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.24177591302765092, -0.1807971869771343, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.213611

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

D492C3h5B7UZbyreCKB6mMz

null

false

null

false

Dh4YSHb5uiXujnSKrqjvDBY

DJLGUfBxTqnQUeBr8XDW9rq

{"qi": 0.026012734474957375, "vacuum_well": -0.10444041440278927, "aspect_ratio": 10.241436037351788, "max_elongation": 4.4647768561905465, "average_triangularity": -0.06694629424939919, "axis_magnetic_mirror_ratio": 0.1456550141779069, "edge_magnetic_mirror_ratio": 0.17860625624024137, "aspect_ratio_over_edge_rotational_transform": 12.642039427538732, "flux_compression_in_regions_of_bad_curvature": 1.2026035800704489, "axis_rotational_transform_over_n_field_periods": 0.17641274411206292, "edge_rotational_transform_over_n_field_periods": 0.16202189680001156, "minimum_normalized_magnetic_gradient_scale_length": 12.398274202782682}

10.241436

12.642039

-0.010948

0.145655

0.176413

0.178606

0.162022

1.202604

4.464777

12.398274

0.026013

-0.10444

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991979734713194,0.021070950381826634,-0.004963953321742607,-0.00043477865546477824,0.00005769531198550598],[-0.0001723337700751639,-0.00015670915775235924,-0.0104679137746907,-0.044425322598062894,0.10639287917181675,-0.0038170928793577925,-0.0017887986754691271,0.00017492904653850297,0.000031166200851160945],[0.00011079655652215944,0.0018999781863382696,0.008881844645677522,0.013954190908329918,-0.006009664005658434,0.007167736939324166,-0.0038754429068111585,0.0009437701474966971,-0.00005437749072963156],[-0.00014795334785535188,0.00005493020269723137,0.00033833818612566017,-0.00045003417242358364,0.0021992207987611328,-0.00023835115166601106,-0.00039400245987939207,0.00010624436492193561,-8.611046276982032e-6],[0.00001226091598747655,-0.0002647178402775157,-0.0008018061468101848,0.000012340625622182918,0.0004988247295091091,-0.0005291913155943033,0.00012820486830603242,0.00001044434602360709,-2.305702078069819e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04202726872672985,0.004729613515028824,0.0008810033830398737,-0.00004929891203951132],[-0.0002616035657682901,-0.0005369001041442402,-0.00610623904573203,-0.07103249063430542,-0.1313661543164776,0.024420469494014444,-0.00344379694841576,0.0008636864658511695,-0.0000387498352862582],[0.00008103664019771822,0.001309870297854539,0.007876254966059261,0.014904930724553948,-0.030345206929262483,0.009604278604332366,-0.0005448012915808104,-0.00014882592328399938,-0.000024363498025884564],[-0.00021728976205623996,-0.0006854733052016687,0.0009192190387280233,0.004138941309841219,-0.007087194504003709,0.0028539250084920237,-0.00019492502940456665,0.000048327824151426764,-0.000026441581484412622],[7.324876830727776e-7,-0.00003728654997363271,-8.72929732333096e-6,0.0002508361991614257,-0.00045395528643414065,0.0003148387496957561,-2.9886724952777736e-6,-0.00003316355648772333,3.389375731399028e-7]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9991979734713194, 0.021070950381826634, -0.004963953321742607, -0.00043477865546477824, 0.00005769531198550598 ], [ -0.0001723337700751639, -0.00015670915775235924, -0.0104679137746907, -0.044425322598062894, 0.10639287917181675, -0.0038170928793577925, -0.0017887986754691271, 0.00017492904653850297, 0.000031166200851160945 ], [ 0.00011079655652215944, 0.0018999781863382696, 0.008881844645677522, 0.013954190908329918, -0.006009664005658434, 0.007167736939324166, -0.0038754429068111585, 0.0009437701474966971, -0.00005437749072963156 ], [ -0.00014795334785535188, 0.00005493020269723137, 0.00033833818612566017, -0.00045003417242358364, 0.0021992207987611328, -0.00023835115166601106, -0.00039400245987939207, 0.00010624436492193561, -0.000008611046276982032 ], [ 0.00001226091598747655, -0.0002647178402775157, -0.0008018061468101848, 0.000012340625622182918, 0.0004988247295091091, -0.0005291913155943033, 0.00012820486830603242, 0.00001044434602360709, -0.000002305702078069819 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04202726872672985, 0.004729613515028824, 0.0008810033830398737, -0.00004929891203951132 ], [ -0.0002616035657682901, -0.0005369001041442402, -0.00610623904573203, -0.07103249063430542, -0.1313661543164776, 0.024420469494014444, -0.00344379694841576, 0.0008636864658511695, -0.0000387498352862582 ], [ 0.00008103664019771822, 0.001309870297854539, 0.007876254966059261, 0.014904930724553948, -0.030345206929262483, 0.009604278604332366, -0.0005448012915808104, -0.00014882592328399938, -0.000024363498025884564 ], [ -0.00021728976205623996, -0.0006854733052016687, 0.0009192190387280233, 0.004138941309841219, -0.007087194504003709, 0.0028539250084920237, -0.00019492502940456665, 0.000048327824151426764, -0.000026441581484412622 ], [ 7.324876830727776e-7, -0.00003728654997363271, -0.00000872929732333096, 0.0002508361991614257, -0.00045395528643414065, 0.0003148387496957561, -0.0000029886724952777736, -0.00003316355648772333, 3.389375731399028e-7 ] ]

DjpohmUsUTLH2PUUEGGF5Eo

{"aspect_ratio": 10.063561435294368, "major_radius": 1.0, "max_elongation": 4.218665593215689, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.024163328171606633, 0.21672978122064246, 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": [[0.9005283046089213, 0.9005283243724166, 0.9005289262197225, 0.9005328989596744, 0.9005470652373943, 0.9005836310212015, 0.900661073572815, 0.9008046009693959, 0.9010462208640674, 0.9014244581616689, 0.901983762181155, 0.9027736441930391, 0.9038475861849736, 0.9052617614340179, 0.9070736070124936, 0.9093402877615662, 0.9121170905542904, 0.915455786850375, 0.9194030006251925, 0.9239986177382782, 0.929274271691358, 0.9352519395097897, 0.9419426801588258, 0.9493455464695597, 0.9574466999885761, 0.9662187564671673, 0.9756203878542236, 0.9855962046313741, 0.9960769401046122, 1.0069799558123989, 1.0182100844872155, 1.029660823966724, 1.0412158920297272, 1.0527511482506646, 1.064136884519532, 1.0752404807229465, 1.0859294160391664, 1.0960746191077129, 1.105554131631069, 1.1142570492309294, 1.122087689843227, 1.1289699224144805, 1.1348515652812088, 1.1397087312569198, 1.1435499496495174, 1.1464198239398107, 1.1484018667983475, 1.1496199440684123, 1.1502373307225962, 1.150451313927488, 1.1504773009017588], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8244950237900526}

10.063561

1

4.218666

[ [ 0.9005283046089213, 0.9005283243724166, 0.9005289262197225, 0.9005328989596744, 0.9005470652373943, 0.9005836310212015, 0.900661073572815, 0.9008046009693959, 0.9010462208640674, 0.9014244581616689, 0.901983762181155, 0.9027736441930391, 0.9038475861849736, 0.9052617614340179, 0.9070736070124936, 0.9093402877615662, 0.9121170905542904, 0.915455786850375, 0.9194030006251925, 0.9239986177382782, 0.929274271691358, 0.9352519395097897, 0.9419426801588258, 0.9493455464695597, 0.9574466999885761, 0.9662187564671673, 0.9756203878542236, 0.9855962046313741, 0.9960769401046122, 1.0069799558123989, 1.0182100844872155, 1.029660823966724, 1.0412158920297272, 1.0527511482506646, 1.064136884519532, 1.0752404807229465, 1.0859294160391664, 1.0960746191077129, 1.105554131631069, 1.1142570492309294, 1.122087689843227, 1.1289699224144805, 1.1348515652812088, 1.1397087312569198, 1.1435499496495174, 1.1464198239398107, 1.1484018667983475, 1.1496199440684123, 1.1502373307225962, 1.150451313927488, 1.1504773009017588 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.024163328171606633, 0.21672978122064246, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.824495

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

DNgQGjpRCXFsw939RjVePN8

null

false

null

false

DJXcuBcYjPeXwRSpCrNm4sw

DJGPf9i3aLK9r34jhKV3TJM

{"qi": 0.04252673424450639, "vacuum_well": -0.05062934463048402, "aspect_ratio": 7.583779073494342, "max_elongation": 5.007683545601118, "average_triangularity": -0.411873202827973, "axis_magnetic_mirror_ratio": 0.6259563458557351, "edge_magnetic_mirror_ratio": 0.8887165551798787, "aspect_ratio_over_edge_rotational_transform": 6.7638915850464825, "flux_compression_in_regions_of_bad_curvature": 1.265898546087507, "axis_rotational_transform_over_n_field_periods": 0.2465101580423401, "edge_rotational_transform_over_n_field_periods": 0.22424307007700878, "minimum_normalized_magnetic_gradient_scale_length": 3.3919338826228125}

7.583779

6.763892

-0.417343

0.625956

0.24651

0.888717

0.224243

1.265899

5.007684

3.391934

0.042527

-0.050629

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1388929705143739,-0.030842678000517376,-0.0070059791976710166,0.0017546498178234937],[-0.0021097030692185407,0.009119898660011031,0.041527502335927925,0.012438356766442931,0.11327701333695156,-0.02075030474085388,-0.002406321854448175,0.0015643447025107879,-0.000025639727344272745],[0.0014721362466676078,-0.0050395543415259645,-0.01771018003285988,0.006686877667254908,-0.0011783026496257447,-0.0057088234897747225,0.0004633126499000318,-0.0002653911733118035,-0.0003092065379287675],[0.00006648162478717778,0.0003294487838706269,0.0036119476712717885,-0.000059539522527047944,0.0012222229188808729,-0.00180737975932351,0.0009902010708446513,-0.00024643258115640825,-0.0001291867109764165],[-0.0007184488507876345,0.00046893835220981585,-0.0005158544911183059,0.0008672818266211887,-0.00071319926602574,0.00016512609954487433,-0.00009570445011497728,0.000021990736997902916,-7.1481299012849395e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.04494706939116219,0.02698815172389782,0.005041178008309782,0.00010558146710737926],[-0.0003174149918198758,0.012137680309992828,0.037116348561825385,0.03935649686723321,-0.1616767425751632,0.011702669954028012,-0.003309745362919187,0.00021113628151857907,-0.00016572670595289504],[0.0017700728203667343,-0.007604206092827814,-0.013342233676704625,0.0020428539493723427,-0.0030063864761467325,-0.004030958442592715,0.002577484295867045,-0.00002562447898761663,0.0003626900403276398],[-0.0014377764136035134,0.0014125892559814714,-0.004974397735471437,0.0003931593656285133,-0.0027474810243207884,0.0014179017802505827,-0.001959418430405672,0.00043560726109882514,0.00004574436689137819],[0.0002648443251283112,-0.0004305978833552401,0.0004086302657170295,-0.0009783956079384903,0.0007315685728873815,-0.0007551550768141483,0.00023029410871327588,-0.00006137413514727488,0.000027914345959961163]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.1388929705143739, -0.030842678000517376, -0.0070059791976710166, 0.0017546498178234937 ], [ -0.0021097030692185407, 0.009119898660011031, 0.041527502335927925, 0.012438356766442931, 0.11327701333695156, -0.02075030474085388, -0.002406321854448175, 0.0015643447025107879, -0.000025639727344272745 ], [ 0.0014721362466676078, -0.0050395543415259645, -0.01771018003285988, 0.006686877667254908, -0.0011783026496257447, -0.0057088234897747225, 0.0004633126499000318, -0.0002653911733118035, -0.0003092065379287675 ], [ 0.00006648162478717778, 0.0003294487838706269, 0.0036119476712717885, -0.000059539522527047944, 0.0012222229188808729, -0.00180737975932351, 0.0009902010708446513, -0.00024643258115640825, -0.0001291867109764165 ], [ -0.0007184488507876345, 0.00046893835220981585, -0.0005158544911183059, 0.0008672818266211887, -0.00071319926602574, 0.00016512609954487433, -0.00009570445011497728, 0.000021990736997902916, -0.0000071481299012849395 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.04494706939116219, 0.02698815172389782, 0.005041178008309782, 0.00010558146710737926 ], [ -0.0003174149918198758, 0.012137680309992828, 0.037116348561825385, 0.03935649686723321, -0.1616767425751632, 0.011702669954028012, -0.003309745362919187, 0.00021113628151857907, -0.00016572670595289504 ], [ 0.0017700728203667343, -0.007604206092827814, -0.013342233676704625, 0.0020428539493723427, -0.0030063864761467325, -0.004030958442592715, 0.002577484295867045, -0.00002562447898761663, 0.0003626900403276398 ], [ -0.0014377764136035134, 0.0014125892559814714, -0.004974397735471437, 0.0003931593656285133, -0.0027474810243207884, 0.0014179017802505827, -0.001959418430405672, 0.00043560726109882514, 0.00004574436689137819 ], [ 0.0002648443251283112, -0.0004305978833552401, 0.0004086302657170295, -0.0009783956079384903, 0.0007315685728873815, -0.0007551550768141483, 0.00023029410871327588, -0.00006137413514727488, 0.000027914345959961163 ] ]

DkS4shs4edUwZkPcgxjmoee

{"aspect_ratio": 6.238993768389607, "major_radius": 1.0, "max_elongation": 5.678271328095037, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.012122213231050784, 0.16494483281262756, 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": [[0.683325443146678, 0.6834381997937518, 0.6842403698644877, 0.6863490795659716, 0.6902396876224539, 0.6962425071558257, 0.7045537524652172, 0.7152509294664631, 0.7283096544822265, 0.7436205702424327, 0.7610056741239305, 0.7802336791710759, 0.8010341933138816, 0.8231105997912791, 0.8461515836106583, 0.8698412900985535, 0.8938681301776784, 0.9179322674108079, 0.9417518367346018, 0.9650679558148307, 0.9876485981534563, 1.0092914031784606, 1.0298255030371453, 1.0491124490357548, 1.0670463228685951, 1.0835531191373946, 1.0985894863084638, 1.1121409132892917, 1.1242194483002936, 1.1348610357251818, 1.1441225551834688, 1.1520786452074012, 1.158818391639329, 1.1644419582011631, 1.1690572336236023, 1.1727765662490306, 1.1757136531190824, 1.1779806461960984, 1.179685533504935, 1.1809298475601235, 1.1818067473850504, 1.182399513628685, 1.1827804885959634, 1.1830104842266997, 1.1831386708916405, 1.1832029478848387, 1.1832307819907768, 1.1832404823397507, 1.1832428558241688, 1.1832431532247085, 1.1832431604366362], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.3633579984992674}

6.238994

1

5.678271

[ [ 0.683325443146678, 0.6834381997937518, 0.6842403698644877, 0.6863490795659716, 0.6902396876224539, 0.6962425071558257, 0.7045537524652172, 0.7152509294664631, 0.7283096544822265, 0.7436205702424327, 0.7610056741239305, 0.7802336791710759, 0.8010341933138816, 0.8231105997912791, 0.8461515836106583, 0.8698412900985535, 0.8938681301776784, 0.9179322674108079, 0.9417518367346018, 0.9650679558148307, 0.9876485981534563, 1.0092914031784606, 1.0298255030371453, 1.0491124490357548, 1.0670463228685951, 1.0835531191373946, 1.0985894863084638, 1.1121409132892917, 1.1242194483002936, 1.1348610357251818, 1.1441225551834688, 1.1520786452074012, 1.158818391639329, 1.1644419582011631, 1.1690572336236023, 1.1727765662490306, 1.1757136531190824, 1.1779806461960984, 1.179685533504935, 1.1809298475601235, 1.1818067473850504, 1.182399513628685, 1.1827804885959634, 1.1830104842266997, 1.1831386708916405, 1.1832029478848387, 1.1832307819907768, 1.1832404823397507, 1.1832428558241688, 1.1832431532247085, 1.1832431604366362 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.012122213231050784, 0.16494483281262756, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.363358

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

DcWjBFzG2ZbsMTdmNWMkZu2

null

false

null

false

DdGHkXvafaBs6MpgwZudNU3

D7vDabmqGjknCJiQjeDhpev

{"qi": 0.03021603389891055, "vacuum_well": -0.13354512312359448, "aspect_ratio": 10.146900867871492, "max_elongation": 4.335950739143255, "average_triangularity": -0.41989835743405546, "axis_magnetic_mirror_ratio": 0.08099287233345114, "edge_magnetic_mirror_ratio": 0.1718215256590674, "aspect_ratio_over_edge_rotational_transform": 12.219307551677355, "flux_compression_in_regions_of_bad_curvature": 1.319028496638068, "axis_rotational_transform_over_n_field_periods": 0.20246304860219666, "edge_rotational_transform_over_n_field_periods": 0.27679966929273386, "minimum_normalized_magnetic_gradient_scale_length": 5.791284749138281}

10.146901

12.219308

-0.751375

0.080993

0.202463

0.171822

0.2768

1.319028

4.335951

5.791285

0.030216

-0.133545

{"r_cos":[[0.0,0.0,0.0,0.0,0.999097035285357,-0.029086757328873225,-0.015179807347515818,0.0054186014720184455,0.00024814412554354306],[-0.001473317842337249,-0.0026977123955249354,0.007944795607781408,-0.024611265691020442,0.1029485028644863,-0.02745917382757923,0.008548048139723633,-0.0006694289430387262,6.591673435127452e-6],[-0.000053688769195864106,-0.005901473215484787,-0.019426756299405268,-0.007082103248423774,-0.004323534790317381,0.002446163927906364,0.00046275009535522334,0.00025544153314448377,0.000020248360972706485],[0.0009118659740768008,0.0049477446572504455,0.003195940077829403,-0.007144390433891316,0.001768462813901589,-0.00012162474646419891,-0.00013993024315993112,0.00009207640747299108,0.000027524171710879473],[-0.00046722350893060676,-0.0020155134790643585,-0.0021130945800371987,0.0008611744243339984,0.00045956687905552706,-0.00015069863425763784,-0.00002149404517330861,0.000017428879650159892,5.3030193952208215e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.09979662037977652,0.015527090240248865,-0.0027863386690018047,-0.00013647251486482125],[-0.001224724524880711,-0.00010236170478247566,0.00772039559697715,-0.09075554337390254,-0.10988424413983557,0.04314468298332883,-0.007771570359940869,0.0004213971671006031,0.000015072442291928431],[0.0001965530818715302,-0.005291587694273471,-0.015008868525384007,0.0015873274427847862,0.003117438085248406,-0.002539293633983541,0.00017291741445125443,5.010081914239451e-6,-3.0300632259972626e-6],[0.0010762112642789213,0.005397140296768926,0.003652110278279379,0.004600093962383877,-0.0010080915590582197,-0.0006383072525974875,0.00007896387301460509,0.00005090899194621669,-0.0000446193192719925],[-0.0001970779575080693,-0.0005540296046928758,0.000757228673563493,0.0005714379642480663,-0.0005436352996611053,0.00008882629759220995,0.00002543666296341929,-0.000017539405413189682,-0.00001046193598791675]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.999097035285357, -0.029086757328873225, -0.015179807347515818, 0.0054186014720184455, 0.00024814412554354306 ], [ -0.001473317842337249, -0.0026977123955249354, 0.007944795607781408, -0.024611265691020442, 0.1029485028644863, -0.02745917382757923, 0.008548048139723633, -0.0006694289430387262, 0.000006591673435127452 ], [ -0.000053688769195864106, -0.005901473215484787, -0.019426756299405268, -0.007082103248423774, -0.004323534790317381, 0.002446163927906364, 0.00046275009535522334, 0.00025544153314448377, 0.000020248360972706485 ], [ 0.0009118659740768008, 0.0049477446572504455, 0.003195940077829403, -0.007144390433891316, 0.001768462813901589, -0.00012162474646419891, -0.00013993024315993112, 0.00009207640747299108, 0.000027524171710879473 ], [ -0.00046722350893060676, -0.0020155134790643585, -0.0021130945800371987, 0.0008611744243339984, 0.00045956687905552706, -0.00015069863425763784, -0.00002149404517330861, 0.000017428879650159892, 0.0000053030193952208215 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.09979662037977652, 0.015527090240248865, -0.0027863386690018047, -0.00013647251486482125 ], [ -0.001224724524880711, -0.00010236170478247566, 0.00772039559697715, -0.09075554337390254, -0.10988424413983557, 0.04314468298332883, -0.007771570359940869, 0.0004213971671006031, 0.000015072442291928431 ], [ 0.0001965530818715302, -0.005291587694273471, -0.015008868525384007, 0.0015873274427847862, 0.003117438085248406, -0.002539293633983541, 0.00017291741445125443, 0.000005010081914239451, -0.0000030300632259972626 ], [ 0.0010762112642789213, 0.005397140296768926, 0.003652110278279379, 0.004600093962383877, -0.0010080915590582197, -0.0006383072525974875, 0.00007896387301460509, 0.00005090899194621669, -0.0000446193192719925 ], [ -0.0001970779575080693, -0.0005540296046928758, 0.000757228673563493, 0.0005714379642480663, -0.0005436352996611053, 0.00008882629759220995, 0.00002543666296341929, -0.000017539405413189682, -0.00001046193598791675 ] ]

D8ZD8ithwDaUvMCJ32VGGJb

{"aspect_ratio": 10.306606651497702, "major_radius": 1.0, "max_elongation": 4.060014293128438, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.04646038652775471, -0.10625848855104768, 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": [[0.9052495730735929, 0.9052495955279478, 0.9052503314007246, 0.9052553832954704, 0.9052738135034684, 0.9053220252623179, 0.9054248774606644, 0.905616065652964, 0.9059378389524674, 0.9064401391169594, 0.9071792559507326, 0.9082160960212786, 0.9096141614860989, 0.9114373335367654, 0.9137475511800539, 0.9166024711618203, 0.920053189048435, 0.9241420949890301, 0.928900930618187, 0.9343491060201521, 0.9404923277377037, 0.9473215805316185, 0.9548124970294454, 0.9629251405860934, 0.9716042176486405, 0.9807797267044686, 0.9903680415226886, 1.0002734168990006, 1.0103898955071535, 1.020603584768837, 1.0307952629006847, 1.0408432635052345, 1.0506265782664514, 1.0600281075162559, 1.0689379786860052, 1.0772568429803164, 1.084899051050705, 1.0917955990532933, 1.097896727311477, 1.1031740449532779, 1.107622045464923, 1.1112588702510786, 1.1141261702407868, 1.1162879096620038, 1.1178279518579213, 1.1188462653271014, 1.1194535906493792, 1.1197644188147446, 1.1198881559522387, 1.1199184084832816, 1.1199204948780568], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6078535029798693}

10.306607

1

4.060014

[ [ 0.9052495730735929, 0.9052495955279478, 0.9052503314007246, 0.9052553832954704, 0.9052738135034684, 0.9053220252623179, 0.9054248774606644, 0.905616065652964, 0.9059378389524674, 0.9064401391169594, 0.9071792559507326, 0.9082160960212786, 0.9096141614860989, 0.9114373335367654, 0.9137475511800539, 0.9166024711618203, 0.920053189048435, 0.9241420949890301, 0.928900930618187, 0.9343491060201521, 0.9404923277377037, 0.9473215805316185, 0.9548124970294454, 0.9629251405860934, 0.9716042176486405, 0.9807797267044686, 0.9903680415226886, 1.0002734168990006, 1.0103898955071535, 1.020603584768837, 1.0307952629006847, 1.0408432635052345, 1.0506265782664514, 1.0600281075162559, 1.0689379786860052, 1.0772568429803164, 1.084899051050705, 1.0917955990532933, 1.097896727311477, 1.1031740449532779, 1.107622045464923, 1.1112588702510786, 1.1141261702407868, 1.1162879096620038, 1.1178279518579213, 1.1188462653271014, 1.1194535906493792, 1.1197644188147446, 1.1198881559522387, 1.1199184084832816, 1.1199204948780568 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.04646038652775471, -0.10625848855104768, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.607854

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

DLREVBBm2BnchNBAGnv2usL

null

false

null

false

DSndgZHQmDwmENXnqqmKUnw

DP3K6bMby47HJT6Qb93cBDt

{"qi": 0.014823574087208049, "vacuum_well": -0.09756548116402429, "aspect_ratio": 9.676600514894947, "max_elongation": 4.65359217360383, "average_triangularity": -0.23687374265609493, "axis_magnetic_mirror_ratio": 0.08892133435418975, "edge_magnetic_mirror_ratio": 0.16617314505104955, "aspect_ratio_over_edge_rotational_transform": 17.11545506227452, "flux_compression_in_regions_of_bad_curvature": 1.1495410728999746, "axis_rotational_transform_over_n_field_periods": 0.16314392845329803, "edge_rotational_transform_over_n_field_periods": 0.18845736167860513, "minimum_normalized_magnetic_gradient_scale_length": 5.992536905056082}

9.676601

17.115455

-0.468023

0.088921

0.163144

0.166173

0.188457

1.149541

4.653592

5.992537

0.014824

-0.097565

{"r_cos":[[0.0,0.0,0.0,0.0,0.9996202272423236,-0.06758331637493828,-0.028155403339275506,0.004257420908489616,-0.0006827927041211483],[0.0006737578583013912,-0.004413549949144238,0.008075416494175846,-0.03169675261767467,0.12288495635874212,-0.013865298029120034,-0.003389633350279272,0.002270139740210771,0.00026297572491277833],[-0.0016037853376755051,-0.001097294734783871,-0.00688354659537029,0.006791492678893437,-0.02685468987187309,0.009616409505105075,-0.003331034196265995,0.0006454639239239395,-0.0003063686926896037],[0.000702961227225566,0.0028540807449552756,0.0022452141156064686,-0.0009142228679839383,0.0016793717598222293,-0.0023269522322543292,0.0009145573362917894,0.00009239820300416691,0.00002454494183845281],[0.000010688529295736787,-0.00043890089396415394,-0.0002706003659589782,0.0004687725648198776,0.00015201376012440992,0.0003715312383264814,-0.000706678713177348,0.0004977649053262037,-0.00010854553640971722]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.15092933034026856,0.028166728273259695,-0.0022094104208128292,0.0011497925348920093],[0.003399329461343538,-0.001115413946956451,0.009900524227911874,-0.07422678565981197,-0.09543252113694578,0.05652214185521767,-0.009224880500961982,-0.002111651014381357,0.00003836317029154565],[-0.0024364349475235053,-0.0029655755049401407,-0.00807885000888885,0.012829628061633227,0.008674304262721129,-0.008380594651495798,0.005650836028859005,-0.0019464599500114996,0.0005649689437288936],[0.00033293486490762394,0.003152694420956219,0.008340080825366542,0.0037494783849984304,0.0025265548534785295,0.0011013134936958553,-0.0013228483858488066,0.00029005569456325674,-0.00015075921556262573],[0.00010042640842974298,-0.00019792909765793763,-0.0009660853825362256,-0.0011439512265349224,-0.00008331114152449348,0.00010942689357611624,0.0003373507096302458,-0.0006640036823638338,0.00029726794229010785]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9996202272423236, -0.06758331637493828, -0.028155403339275506, 0.004257420908489616, -0.0006827927041211483 ], [ 0.0006737578583013912, -0.004413549949144238, 0.008075416494175846, -0.03169675261767467, 0.12288495635874212, -0.013865298029120034, -0.003389633350279272, 0.002270139740210771, 0.00026297572491277833 ], [ -0.0016037853376755051, -0.001097294734783871, -0.00688354659537029, 0.006791492678893437, -0.02685468987187309, 0.009616409505105075, -0.003331034196265995, 0.0006454639239239395, -0.0003063686926896037 ], [ 0.000702961227225566, 0.0028540807449552756, 0.0022452141156064686, -0.0009142228679839383, 0.0016793717598222293, -0.0023269522322543292, 0.0009145573362917894, 0.00009239820300416691, 0.00002454494183845281 ], [ 0.000010688529295736787, -0.00043890089396415394, -0.0002706003659589782, 0.0004687725648198776, 0.00015201376012440992, 0.0003715312383264814, -0.000706678713177348, 0.0004977649053262037, -0.00010854553640971722 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.15092933034026856, 0.028166728273259695, -0.0022094104208128292, 0.0011497925348920093 ], [ 0.003399329461343538, -0.001115413946956451, 0.009900524227911874, -0.07422678565981197, -0.09543252113694578, 0.05652214185521767, -0.009224880500961982, -0.002111651014381357, 0.00003836317029154565 ], [ -0.0024364349475235053, -0.0029655755049401407, -0.00807885000888885, 0.012829628061633227, 0.008674304262721129, -0.008380594651495798, 0.005650836028859005, -0.0019464599500114996, 0.0005649689437288936 ], [ 0.00033293486490762394, 0.003152694420956219, 0.008340080825366542, 0.0037494783849984304, 0.0025265548534785295, 0.0011013134936958553, -0.0013228483858488066, 0.00029005569456325674, -0.00015075921556262573 ], [ 0.00010042640842974298, -0.00019792909765793763, -0.0009660853825362256, -0.0011439512265349224, -0.00008331114152449348, 0.00010942689357611624, 0.0003373507096302458, -0.0006640036823638338, 0.00029726794229010785 ] ]

DAEwRhVxKvsSUgNaTyhjiz7

{"aspect_ratio": 9.539246634702813, "major_radius": 1.0, "max_elongation": 4.244062916932983, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.02149883209956312, 0.4149023139470724, 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": [[0.9099262207195753, 0.9099262431707827, 0.909926817593536, 0.9099302425693562, 0.9099416659855203, 0.9099697996289897, 0.910027376008029, 0.9101313985589538, 0.9103032166197542, 0.9105684477980261, 0.9109567656060005, 0.9115015673501359, 0.9122395353875915, 0.9132101035901599, 0.9144548399735412, 0.9160167558343003, 0.9179395513152824, 0.9202668070470789, 0.9230411313593933, 0.9263032725035807, 0.9300912053652268, 0.9344392022676883, 0.9393768976725296, 0.9449283568729118, 0.951111159156821, 0.9579355063978455, 0.9654033686253793, 0.9735076788519648, 0.9822315903174662, 0.9915478103803721, 1.0014180265888633, 1.011792442055886, 1.0226094392208096, 1.0337953935109523, 1.045264661465422, 1.0569197717568288, 1.0686518525380635, 1.0803413350830835, 1.091858982430456, 1.1030673036764578, 1.1138224312948102, 1.1239765630179044, 1.133381105947339, 1.1418907169265888, 1.1493685257420758, 1.1556929895877277, 1.160767134391197, 1.164531588524139, 1.1669844211037868, 1.1682158978263308, 1.168494882783484], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.3773749816918524}

9.539247

1

4.244063

[ [ 0.9099262207195753, 0.9099262431707827, 0.909926817593536, 0.9099302425693562, 0.9099416659855203, 0.9099697996289897, 0.910027376008029, 0.9101313985589538, 0.9103032166197542, 0.9105684477980261, 0.9109567656060005, 0.9115015673501359, 0.9122395353875915, 0.9132101035901599, 0.9144548399735412, 0.9160167558343003, 0.9179395513152824, 0.9202668070470789, 0.9230411313593933, 0.9263032725035807, 0.9300912053652268, 0.9344392022676883, 0.9393768976725296, 0.9449283568729118, 0.951111159156821, 0.9579355063978455, 0.9654033686253793, 0.9735076788519648, 0.9822315903174662, 0.9915478103803721, 1.0014180265888633, 1.011792442055886, 1.0226094392208096, 1.0337953935109523, 1.045264661465422, 1.0569197717568288, 1.0686518525380635, 1.0803413350830835, 1.091858982430456, 1.1030673036764578, 1.1138224312948102, 1.1239765630179044, 1.133381105947339, 1.1418907169265888, 1.1493685257420758, 1.1556929895877277, 1.160767134391197, 1.164531588524139, 1.1669844211037868, 1.1682158978263308, 1.168494882783484 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.02149883209956312, 0.4149023139470724, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.377375

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

DQQVDwFbgg7gBwmnhjvC2Sd

null

false

null

false

DLtAJnmQrsU4wrRsHK48N3z

DiFq2MKAd4K3TgPuTJ9nmp8

{"qi": 0.002212155296111909, "vacuum_well": -0.13261527671860893, "aspect_ratio": 9.772865367763783, "max_elongation": 6.503595151053106, "average_triangularity": -0.6140839516478405, "axis_magnetic_mirror_ratio": 0.32821675556015373, "edge_magnetic_mirror_ratio": 0.3592886523433988, "aspect_ratio_over_edge_rotational_transform": 21.22948708177437, "flux_compression_in_regions_of_bad_curvature": 1.6198217829228008, "axis_rotational_transform_over_n_field_periods": 0.19221166320001673, "edge_rotational_transform_over_n_field_periods": 0.23017196152972158, "minimum_normalized_magnetic_gradient_scale_length": 5.475213474162898}

9.772865

21.229487

-0.992115

0.328217

0.192212

0.359289

0.230172

1.619822

6.503595

5.475213

0.002212

-0.132615

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.14300710001481096,-0.03244213992199776,0.010123146718129849,-0.0013682438096276539],[0.0009555856650509992,-0.005983312951803337,0.01723771287665773,0.04817672172033661,0.08938528180244917,0.005439346041201831,-0.013770682666569847,0.00008918178932064511,0.0008814915939851493],[-0.0013590658553126122,0.0035584296449254773,-0.010520863675006722,-0.000058557430966342354,-0.022929326724067087,-0.005713328059259725,-0.0008422353581142997,-0.00017631778570652464,-0.000028180419662867436],[0.0003939345179465271,-0.00009064076231895824,0.007659537060751875,-0.000874420476311807,-0.0018431206051206896,-0.0012255116627361519,-0.0013210152432882685,-0.00038740701360042134,-4.55285253465006e-6],[0.00016451634251136163,-0.0005308061128991953,0.001034336069228987,-0.0011020871821725209,-0.000303512469829631,-0.00026847350609887535,0.00011312531332366562,0.00004807546247974069,-3.5069615795932705e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.10800871494945649,0.007342379223386463,-0.004143768756722553,-0.00027192601814110887],[-0.0007183108261579652,-0.0009166978275950251,0.0010783801970464671,0.11375570023838778,-0.18742019570123095,-0.006209190796751016,0.015427855555954245,-0.0004327155677494322,-0.0014995751878208014],[-0.0014736101366521672,0.0043822369623137195,-0.00839237482374777,-0.02517001018285179,-0.004706797632129763,0.0007428639937682828,0.001125737135205487,-0.00035423892179191774,-0.0003751475831194475],[0.0003884904380747257,0.0009123848343739367,0.006876281412280949,-0.00414765721563731,-0.010389266857586354,-0.003624157563124175,0.0012884697467866915,0.00038418015914515454,-0.00014970457291187445],[-0.00022419580934254514,-0.0011751576947912614,0.0005999971022732645,0.0016151396841180136,-0.000078652068906249,-0.00037310490191787304,-0.0002896135970664464,-0.00003051770950560431,-0.00004371559263096008]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.14300710001481096, -0.03244213992199776, 0.010123146718129849, -0.0013682438096276539 ], [ 0.0009555856650509992, -0.005983312951803337, 0.01723771287665773, 0.04817672172033661, 0.08938528180244917, 0.005439346041201831, -0.013770682666569847, 0.00008918178932064511, 0.0008814915939851493 ], [ -0.0013590658553126122, 0.0035584296449254773, -0.010520863675006722, -0.000058557430966342354, -0.022929326724067087, -0.005713328059259725, -0.0008422353581142997, -0.00017631778570652464, -0.000028180419662867436 ], [ 0.0003939345179465271, -0.00009064076231895824, 0.007659537060751875, -0.000874420476311807, -0.0018431206051206896, -0.0012255116627361519, -0.0013210152432882685, -0.00038740701360042134, -0.00000455285253465006 ], [ 0.00016451634251136163, -0.0005308061128991953, 0.001034336069228987, -0.0011020871821725209, -0.000303512469829631, -0.00026847350609887535, 0.00011312531332366562, 0.00004807546247974069, -0.0000035069615795932705 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.10800871494945649, 0.007342379223386463, -0.004143768756722553, -0.00027192601814110887 ], [ -0.0007183108261579652, -0.0009166978275950251, 0.0010783801970464671, 0.11375570023838778, -0.18742019570123095, -0.006209190796751016, 0.015427855555954245, -0.0004327155677494322, -0.0014995751878208014 ], [ -0.0014736101366521672, 0.0043822369623137195, -0.00839237482374777, -0.02517001018285179, -0.004706797632129763, 0.0007428639937682828, 0.001125737135205487, -0.00035423892179191774, -0.0003751475831194475 ], [ 0.0003884904380747257, 0.0009123848343739367, 0.006876281412280949, -0.00414765721563731, -0.010389266857586354, -0.003624157563124175, 0.0012884697467866915, 0.00038418015914515454, -0.00014970457291187445 ], [ -0.00022419580934254514, -0.0011751576947912614, 0.0005999971022732645, 0.0016151396841180136, -0.000078652068906249, -0.00037310490191787304, -0.0002896135970664464, -0.00003051770950560431, -0.00004371559263096008 ] ]

D2Y5rWcsGuRkqy4dgkHYtcU

{"aspect_ratio": 11.965828683913532, "major_radius": 1.0, "max_elongation": 6.317112026571657, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.21277225876936157, -0.03317749607057591, 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": [[0.7056104009643444, 0.7056104060582057, 0.7056107049416169, 0.7056136421962158, 0.7056274656006569, 0.7056714017455074, 0.7057810225946004, 0.7060131639975812, 0.7064498366418651, 0.7072007302105652, 0.7084040545306849, 0.7102255883463504, 0.7128559177941017, 0.7165059432920529, 0.7214008159001748, 0.7277725327383111, 0.7358514762112397, 0.7458572240248138, 0.7579889867205201, 0.7724160471486539, 0.7892685823931767, 0.8086292436187175, 0.8305258536149126, 0.8549255559707464, 0.8817307143543813, 0.9107768158669776, 0.9418325794851377, 0.9746024098536377, 1.0087312688388328, 1.04381196306724, 1.0793947659921679, 1.1149992087832912, 1.1501277865591366, 1.184281236355405, 1.2169749520862092, 1.2477560111669168, 1.2762201992560147, 1.302028335926325, 1.324921127657189, 1.3447317086648534, 1.3613949789888111, 1.3749528184810944, 1.3855542524412494, 1.3934496802411958, 1.3989783681272292, 1.4025485761055958, 1.4046099778056713, 1.4056185176582574, 1.4059946903159513, 1.4060778198247026, 1.406082638840912], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4309005671508298}

11.965829

1

6.317112

[ [ 0.7056104009643444, 0.7056104060582057, 0.7056107049416169, 0.7056136421962158, 0.7056274656006569, 0.7056714017455074, 0.7057810225946004, 0.7060131639975812, 0.7064498366418651, 0.7072007302105652, 0.7084040545306849, 0.7102255883463504, 0.7128559177941017, 0.7165059432920529, 0.7214008159001748, 0.7277725327383111, 0.7358514762112397, 0.7458572240248138, 0.7579889867205201, 0.7724160471486539, 0.7892685823931767, 0.8086292436187175, 0.8305258536149126, 0.8549255559707464, 0.8817307143543813, 0.9107768158669776, 0.9418325794851377, 0.9746024098536377, 1.0087312688388328, 1.04381196306724, 1.0793947659921679, 1.1149992087832912, 1.1501277865591366, 1.184281236355405, 1.2169749520862092, 1.2477560111669168, 1.2762201992560147, 1.302028335926325, 1.324921127657189, 1.3447317086648534, 1.3613949789888111, 1.3749528184810944, 1.3855542524412494, 1.3934496802411958, 1.3989783681272292, 1.4025485761055958, 1.4046099778056713, 1.4056185176582574, 1.4059946903159513, 1.4060778198247026, 1.406082638840912 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.21277225876936157, -0.03317749607057591, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.430901

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

DmxiLc7pdokUxRrTAFdk9Yh

null

false

null

false

D6ohnLSCbAZ4t8vjhuxHDD3

DaKMWGsuwUZJPoQpmxhERkh

{"qi": 0.0009878308865971974, "vacuum_well": -0.08378038531999697, "aspect_ratio": 9.026337481791794, "max_elongation": 6.796303248420323, "average_triangularity": -0.2928748563927504, "axis_magnetic_mirror_ratio": 0.38722590973618265, "edge_magnetic_mirror_ratio": 0.4055918424579931, "aspect_ratio_over_edge_rotational_transform": 14.84338519704077, "flux_compression_in_regions_of_bad_curvature": 1.467815264292791, "axis_rotational_transform_over_n_field_periods": 0.17024917317482927, "edge_rotational_transform_over_n_field_periods": 0.20270168298247124, "minimum_normalized_magnetic_gradient_scale_length": 5.177271702249715}

9.026337

14.843385

-0.525298

0.387226

0.170249

0.405592

0.202702

1.467815

6.796303

5.177272

0.000988

-0.08378

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.10774693845521253,-0.004146757371707071,-0.009183605578879516,-0.0009722308588268765],[0.00006696900721645359,-0.003724970598905775,-0.021227396840663826,-0.05328638702382856,0.1022635034112258,0.009959016301953234,-0.0004159706842277455,-0.0008068576213828655,-0.00017665671432492289],[0.00017026209385733826,0.0005530453679358251,-0.009441339142070574,0.011591970759597971,-0.006335386416321635,-0.0012963796522873928,-0.0006832056851550621,0.0009138857651574868,0.00011666895402014733],[0.0009779673507739456,0.0020524341513182354,-0.0006187704781874101,-0.01421241703280494,0.010007641831142569,-0.0002844972367101843,-0.0004441486123316135,-0.00011600575142173036,0.000040633351384501833],[-0.0001131800999935619,0.0009135390383763793,-0.0003052799486897786,-0.0021509634251143505,0.001401184860179784,-0.0002634740515391666,0.00001747514852977602,0.00006225711220552517,-0.00002861608882769086]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12206204703743842,-0.02624698697777628,0.0024757149261587473,0.0008611042485389687],[0.0003390549237141991,-0.0013849243019908755,-0.011070711123389048,-0.06584626613099641,-0.16064442068724116,0.022470683245694085,0.0009941012265991516,0.000720253937909291,0.00006788072215804718],[0.000386311010411418,0.0015117048145606607,-0.005729241152607055,0.007182185777051782,-0.016121573808283784,0.005278513942822745,-0.0027608176023551454,-0.000510791867765266,-0.000015053594342083178],[0.000011658715803147159,0.0023653201421610496,0.00828531584285287,-0.005067677873497612,-0.00985180639425805,0.004710325462246631,-0.0005080815862226113,0.00004978787620326481,-0.00010830741643799482],[-0.00040336243574229337,0.000048033425604732276,0.002330668278636884,-0.0007261390483415873,-0.0015098031780341973,0.0006391312622812769,-0.00025940111126768065,0.00006294742374785682,0.000015641857943532456]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.10774693845521253, -0.004146757371707071, -0.009183605578879516, -0.0009722308588268765 ], [ 0.00006696900721645359, -0.003724970598905775, -0.021227396840663826, -0.05328638702382856, 0.1022635034112258, 0.009959016301953234, -0.0004159706842277455, -0.0008068576213828655, -0.00017665671432492289 ], [ 0.00017026209385733826, 0.0005530453679358251, -0.009441339142070574, 0.011591970759597971, -0.006335386416321635, -0.0012963796522873928, -0.0006832056851550621, 0.0009138857651574868, 0.00011666895402014733 ], [ 0.0009779673507739456, 0.0020524341513182354, -0.0006187704781874101, -0.01421241703280494, 0.010007641831142569, -0.0002844972367101843, -0.0004441486123316135, -0.00011600575142173036, 0.000040633351384501833 ], [ -0.0001131800999935619, 0.0009135390383763793, -0.0003052799486897786, -0.0021509634251143505, 0.001401184860179784, -0.0002634740515391666, 0.00001747514852977602, 0.00006225711220552517, -0.00002861608882769086 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12206204703743842, -0.02624698697777628, 0.0024757149261587473, 0.0008611042485389687 ], [ 0.0003390549237141991, -0.0013849243019908755, -0.011070711123389048, -0.06584626613099641, -0.16064442068724116, 0.022470683245694085, 0.0009941012265991516, 0.000720253937909291, 0.00006788072215804718 ], [ 0.000386311010411418, 0.0015117048145606607, -0.005729241152607055, 0.007182185777051782, -0.016121573808283784, 0.005278513942822745, -0.0027608176023551454, -0.000510791867765266, -0.000015053594342083178 ], [ 0.000011658715803147159, 0.0023653201421610496, 0.00828531584285287, -0.005067677873497612, -0.00985180639425805, 0.004710325462246631, -0.0005080815862226113, 0.00004978787620326481, -0.00010830741643799482 ], [ -0.00040336243574229337, 0.000048033425604732276, 0.002330668278636884, -0.0007261390483415873, -0.0015098031780341973, 0.0006391312622812769, -0.00025940111126768065, 0.00006294742374785682, 0.000015641857943532456 ] ]

DRTFvmBVbuaxCEDnW6QnDnh

{"aspect_ratio": 10.075253192844391, "major_radius": 1.0, "max_elongation": 6.798696762689249, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.11338228679075625, 0.012018456319253974, 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": [[0.682221852624298, 0.6822219031441905, 0.6822234545631972, 0.6822337699095593, 0.6822708029391639, 0.6823670171777304, 0.6825720965599971, 0.6829545997409407, 0.6836026255548854, 0.6846235648229847, 0.6861430183078645, 0.6883029636172892, 0.6912592559323404, 0.6951785489152305, 0.7002347232241989, 0.7066049108394116, 0.7144652039544511, 0.7239861375584739, 0.7353280350547575, 0.7486363063524306, 0.7640367878429185, 0.7816312135391412, 0.801492906417826, 0.8236627786641035, 0.8481457290704394, 0.8749075252834873, 0.903872257914043, 0.9349204527147756, 0.9678879260714738, 1.0025654679246694, 1.0386994349117211, 1.0759933349582533, 1.1141104827046415, 1.1526778029651146, 1.191290856800132, 1.229520161623567, 1.266918872908754, 1.3030318902826976, 1.3374064447917442, 1.369604216423037, 1.399215020874772, 1.425872090989555, 1.4492689594147432, 1.469177921886316, 1.485470019551257, 1.4981364133163757, 1.5073109109072471, 1.5132931950580366, 1.516571841570913, 1.517844983082537, 1.5180313087423105], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4588431869638164}

10.075253

1

6.798697

[ [ 0.682221852624298, 0.6822219031441905, 0.6822234545631972, 0.6822337699095593, 0.6822708029391639, 0.6823670171777304, 0.6825720965599971, 0.6829545997409407, 0.6836026255548854, 0.6846235648229847, 0.6861430183078645, 0.6883029636172892, 0.6912592559323404, 0.6951785489152305, 0.7002347232241989, 0.7066049108394116, 0.7144652039544511, 0.7239861375584739, 0.7353280350547575, 0.7486363063524306, 0.7640367878429185, 0.7816312135391412, 0.801492906417826, 0.8236627786641035, 0.8481457290704394, 0.8749075252834873, 0.903872257914043, 0.9349204527147756, 0.9678879260714738, 1.0025654679246694, 1.0386994349117211, 1.0759933349582533, 1.1141104827046415, 1.1526778029651146, 1.191290856800132, 1.229520161623567, 1.266918872908754, 1.3030318902826976, 1.3374064447917442, 1.369604216423037, 1.399215020874772, 1.425872090989555, 1.4492689594147432, 1.469177921886316, 1.485470019551257, 1.4981364133163757, 1.5073109109072471, 1.5132931950580366, 1.516571841570913, 1.517844983082537, 1.5180313087423105 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.11338228679075625, 0.012018456319253974, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.458843

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

DSErT9eM6RZcqsRUWrcBvhc

null

false

null

false

DgDENpBWyUjiw8b4XDtdfuW

DRNdRwW86jBAytX4F33FTMa

{"qi": 0.02615538469057352, "vacuum_well": -0.014090239176974833, "aspect_ratio": 8.69023639037581, "max_elongation": 5.712500933288562, "average_triangularity": 0.5112010941081435, "axis_magnetic_mirror_ratio": 0.10936041713648093, "edge_magnetic_mirror_ratio": 0.2656234718884614, "aspect_ratio_over_edge_rotational_transform": 6.966338014276798, "flux_compression_in_regions_of_bad_curvature": 1.4099800209432918, "axis_rotational_transform_over_n_field_periods": 0.23744427596280446, "edge_rotational_transform_over_n_field_periods": 0.2494922403295981, "minimum_normalized_magnetic_gradient_scale_length": 5.671296841842253}

8.690236

6.966338

0.614507

0.10936

0.237444

0.265623

0.249492

1.40998

5.712501

5.671297

0.026155

-0.01409

{"r_cos":[[0.0,0.0,0.0,0.0,0.9977282734531352,-0.0027400869359053936,-0.015156872114456895,-0.0004706617895992009,7.73050798317295e-6],[0.000646370811198725,-0.00003906688828928326,-0.01861803795285162,-0.06015210152422293,0.1799507157760206,-0.016847829474441606,-0.0018490845089146214,-0.000853037487086579,-0.000058610716947343625],[0.0012977020921294412,0.005034561409837161,0.021036514217763317,0.016855894529835973,-0.00835932729395458,-0.0046863796500051895,0.0016930358495294631,-0.0012467928080101291,-0.00011490465036778511],[0.00003938035924700354,-0.002428786770632781,0.0009844146484084485,-0.004430310032447066,-0.001954798006871333,0.0006454400646383827,0.00019915451977319822,0.00021873775608422224,-0.00011341892185010839],[0.0003064201701945275,0.00015290735703326415,-0.00041928424713893726,-0.0002154970387416551,-0.000017168949688971258,0.000148627939561022,0.000014636606742444237,0.00008857944481182223,-0.000042202739809416934]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1908979146085928,0.01876939064530274,-0.00041665042726121444,0.000622049227524837],[-0.000559776609098368,-0.0010884274494064635,-0.027242721824005285,-0.054721664339256584,-0.0921379668037502,0.008723210912264082,0.0006962953868729794,0.0010401145313009704,0.00023112545502989413],[0.0009301583353071345,0.003641832839820105,0.013443769194691094,-0.006747039143801677,0.003605291763462915,0.00286813514295476,0.0001219432804084172,0.0002916337984393512,0.000141101198456584],[-0.0006621016150573208,-0.002298559625810298,-0.0015491787382362128,0.00902556692444444,0.0023140729024711594,-0.0006982083551724189,-0.0010002967407536465,-0.000059624100551618556,0.00005209674473460944],[0.0003059197216200252,0.0006091154930188214,0.00013302918039426398,0.00017640871823157818,-0.0006877189958138994,0.000024011667733708113,-0.000040902753558796304,-0.0000349284811367834,0.000022237887761765424]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9977282734531352, -0.0027400869359053936, -0.015156872114456895, -0.0004706617895992009, 0.00000773050798317295 ], [ 0.000646370811198725, -0.00003906688828928326, -0.01861803795285162, -0.06015210152422293, 0.1799507157760206, -0.016847829474441606, -0.0018490845089146214, -0.000853037487086579, -0.000058610716947343625 ], [ 0.0012977020921294412, 0.005034561409837161, 0.021036514217763317, 0.016855894529835973, -0.00835932729395458, -0.0046863796500051895, 0.0016930358495294631, -0.0012467928080101291, -0.00011490465036778511 ], [ 0.00003938035924700354, -0.002428786770632781, 0.0009844146484084485, -0.004430310032447066, -0.001954798006871333, 0.0006454400646383827, 0.00019915451977319822, 0.00021873775608422224, -0.00011341892185010839 ], [ 0.0003064201701945275, 0.00015290735703326415, -0.00041928424713893726, -0.0002154970387416551, -0.000017168949688971258, 0.000148627939561022, 0.000014636606742444237, 0.00008857944481182223, -0.000042202739809416934 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1908979146085928, 0.01876939064530274, -0.00041665042726121444, 0.000622049227524837 ], [ -0.000559776609098368, -0.0010884274494064635, -0.027242721824005285, -0.054721664339256584, -0.0921379668037502, 0.008723210912264082, 0.0006962953868729794, 0.0010401145313009704, 0.00023112545502989413 ], [ 0.0009301583353071345, 0.003641832839820105, 0.013443769194691094, -0.006747039143801677, 0.003605291763462915, 0.00286813514295476, 0.0001219432804084172, 0.0002916337984393512, 0.000141101198456584 ], [ -0.0006621016150573208, -0.002298559625810298, -0.0015491787382362128, 0.00902556692444444, 0.0023140729024711594, -0.0006982083551724189, -0.0010002967407536465, -0.000059624100551618556, 0.00005209674473460944 ], [ 0.0003059197216200252, 0.0006091154930188214, 0.00013302918039426398, 0.00017640871823157818, -0.0006877189958138994, 0.000024011667733708113, -0.000040902753558796304, -0.0000349284811367834, 0.000022237887761765424 ] ]

DMrRTPak9kDtjKLUUcJ2Mbx

{"aspect_ratio": 7.99605098070211, "major_radius": 1.0, "max_elongation": 4.024398024389817, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.17211042050405592, -0.18572085883382464, 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": [[0.8911498768965738, 0.8911515578126911, 0.8911751936572511, 0.8912704878617599, 0.8915083630226778, 0.8919723190915744, 0.8927511163374626, 0.8939326784091371, 0.8955991179721547, 0.8978227915299303, 0.9006632933156117, 0.9041653010893538, 0.9083571894826962, 0.9132503292804814, 0.9188389937629142, 0.9251007959698336, 0.9319975835111989, 0.9394767203428298, 0.9474726877628691, 0.9559089397692381, 0.9646999508579246, 0.9737533973424951, 0.9829724163430553, 0.9922578897346508, 1.0015107035679816, 1.0106339367871968, 1.0195349364792867, 1.028127240407196, 1.0363323112156972, 1.0440810504685167, 1.0513150645926315, 1.0579876588892554, 1.0640645400424495, 1.0695242120415511, 1.0743580551643912, 1.0785700826835658, 1.0821763753064824, 1.0852041991032573, 1.087690818894253, 1.0896820258656326, 1.0912304056970266, 1.0923933819134448, 1.0932310787878905, 1.0938040593237914, 1.094171007252619, 1.094386438582096, 1.0944985497227522, 1.094547338769562, 1.0945631807202654, 1.0945661125413135, 1.0945662440235302], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 1.1537304725769206}

7.996051

1

4.024398

[ [ 0.8911498768965738, 0.8911515578126911, 0.8911751936572511, 0.8912704878617599, 0.8915083630226778, 0.8919723190915744, 0.8927511163374626, 0.8939326784091371, 0.8955991179721547, 0.8978227915299303, 0.9006632933156117, 0.9041653010893538, 0.9083571894826962, 0.9132503292804814, 0.9188389937629142, 0.9251007959698336, 0.9319975835111989, 0.9394767203428298, 0.9474726877628691, 0.9559089397692381, 0.9646999508579246, 0.9737533973424951, 0.9829724163430553, 0.9922578897346508, 1.0015107035679816, 1.0106339367871968, 1.0195349364792867, 1.028127240407196, 1.0363323112156972, 1.0440810504685167, 1.0513150645926315, 1.0579876588892554, 1.0640645400424495, 1.0695242120415511, 1.0743580551643912, 1.0785700826835658, 1.0821763753064824, 1.0852041991032573, 1.087690818894253, 1.0896820258656326, 1.0912304056970266, 1.0923933819134448, 1.0932310787878905, 1.0938040593237914, 1.094171007252619, 1.094386438582096, 1.0944985497227522, 1.094547338769562, 1.0945631807202654, 1.0945661125413135, 1.0945662440235302 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.17211042050405592, -0.18572085883382464, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.15373

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

DHNaHo6S6xwvbA8FwQHsikF

null

false

null

false

DQD3HdCuAyUfZKERzTCm7nr

DEuZ2aovdyRkdztGMgH6zvD

{"qi": 0.02155944636233481, "vacuum_well": -0.14149234343762931, "aspect_ratio": 10.22199589540258, "max_elongation": 4.541491833761589, "average_triangularity": -0.41849317266686914, "axis_magnetic_mirror_ratio": 0.10464643842189503, "edge_magnetic_mirror_ratio": 0.14654005127703698, "aspect_ratio_over_edge_rotational_transform": 32.65424413364095, "flux_compression_in_regions_of_bad_curvature": 1.0904207113244966, "axis_rotational_transform_over_n_field_periods": 0.0944222719342945, "edge_rotational_transform_over_n_field_periods": 0.15651864201124943, "minimum_normalized_magnetic_gradient_scale_length": 4.721328640639036}

10.221996

32.654244

-0.710388

0.104646

0.094422

0.14654

0.156519

1.090421

4.541492

4.721329

0.021559

-0.141492

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991144312566796,-0.06310089488044301,-0.0830140435712714,0.002384198288369086,0.0028910816310069912],[-0.0025197006136233055,0.00040172044640090446,0.012530409150529359,-0.0192888489093798,0.08002395284574533,-0.02376649118985835,-0.0002536022194843,0.0017496496380314235,-0.00007879986276133422],[0.00022135485408574274,0.0012221591004951814,-0.010735964701901884,-0.010628804291552935,0.0031213328251215814,0.007190637119590415,-0.00041723662982498175,-0.0011453367365289347,0.0002743912076220419],[-0.0000848564342612208,0.000983568655726577,0.003470481085410048,0.0034292849137702664,0.0014693976334303953,-0.0006788018745285398,-0.00045228958957220706,0.00007686602799729809,0.000020148302185618275],[0.00035416714048899344,0.0004491282107128208,-0.0000676912990699897,-0.00010692945700704459,-0.0001943166122436281,0.00041294684717793715,0.00005797322008742118,-0.00006668446830320406,-3.8765809353153845e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12877950233415728,0.02670573745995481,0.0017694678055616185,-0.0026137951528127836],[0.0003698351947160973,-0.007383759974790142,0.00040551002766172945,-0.09251587214962075,-0.12671602517081929,0.050034047698674214,-0.003278677303741738,0.0046040370934479,-0.0012912604491878209],[0.0005363281373222847,0.00037695839177867324,-0.004628445348802178,0.012539216373853013,-0.015471001350472439,0.006507301112884383,-0.0011933028212368331,0.0018506777915719798,-0.001032700598406093],[0.0004509150688014847,0.0020983073824927838,0.004043827480625626,-0.001212473718105065,-0.010317323113854462,0.006090064116027985,-0.0006139712834276733,0.0004119936115179494,-0.00037290853379067483],[-0.00003806851323422609,-0.00047723469144152816,0.0023868436364986303,-0.0007180158479422184,-0.002292539359600469,0.0010174758947666192,0.000215490240789586,-0.000038687628242852764,-0.00009667004951030598]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9991144312566796, -0.06310089488044301, -0.0830140435712714, 0.002384198288369086, 0.0028910816310069912 ], [ -0.0025197006136233055, 0.00040172044640090446, 0.012530409150529359, -0.0192888489093798, 0.08002395284574533, -0.02376649118985835, -0.0002536022194843, 0.0017496496380314235, -0.00007879986276133422 ], [ 0.00022135485408574274, 0.0012221591004951814, -0.010735964701901884, -0.010628804291552935, 0.0031213328251215814, 0.007190637119590415, -0.00041723662982498175, -0.0011453367365289347, 0.0002743912076220419 ], [ -0.0000848564342612208, 0.000983568655726577, 0.003470481085410048, 0.0034292849137702664, 0.0014693976334303953, -0.0006788018745285398, -0.00045228958957220706, 0.00007686602799729809, 0.000020148302185618275 ], [ 0.00035416714048899344, 0.0004491282107128208, -0.0000676912990699897, -0.00010692945700704459, -0.0001943166122436281, 0.00041294684717793715, 0.00005797322008742118, -0.00006668446830320406, -0.0000038765809353153845 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12877950233415728, 0.02670573745995481, 0.0017694678055616185, -0.0026137951528127836 ], [ 0.0003698351947160973, -0.007383759974790142, 0.00040551002766172945, -0.09251587214962075, -0.12671602517081929, 0.050034047698674214, -0.003278677303741738, 0.0046040370934479, -0.0012912604491878209 ], [ 0.0005363281373222847, 0.00037695839177867324, -0.004628445348802178, 0.012539216373853013, -0.015471001350472439, 0.006507301112884383, -0.0011933028212368331, 0.0018506777915719798, -0.001032700598406093 ], [ 0.0004509150688014847, 0.0020983073824927838, 0.004043827480625626, -0.001212473718105065, -0.010317323113854462, 0.006090064116027985, -0.0006139712834276733, 0.0004119936115179494, -0.00037290853379067483 ], [ -0.00003806851323422609, -0.00047723469144152816, 0.0023868436364986303, -0.0007180158479422184, -0.002292539359600469, 0.0010174758947666192, 0.000215490240789586, -0.000038687628242852764, -0.00009667004951030598 ] ]

DSvaJwKyxwZLNJMsAqUvAae

{"aspect_ratio": 10.755078588118558, "major_radius": 1.0, "max_elongation": 4.141819013810213, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.18228117893709367, -0.3336454706277993, 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": [[0.9163774057246757, 0.9163774092637235, 0.9163775480726797, 0.9163786238933427, 0.916382935843587, 0.9163951383438113, 0.916423030620123, 0.9164782282659664, 0.9165766868723593, 0.9167390591787049, 0.9169908749881525, 0.9173625388885283, 0.9178891453965755, 0.9186101149147599, 0.9195686571004318, 0.9208110710507533, 0.9223858942061939, 0.9243429141422161, 0.9267320595049916, 0.9296021882916892, 0.9329997935094728, 0.9369676479942688, 0.9415434118509959, 0.9467582276089026, 0.9526353297847749, 0.959188697127973, 0.9664217773991638, 0.9743263161243193, 0.9828813223832202, 0.9920522063555075, 1.0017901250783037, 1.0120315746929363, 1.022698269405652, 1.0336973494982233, 1.0449219630509137, 1.0562522686514861, 1.0675569093543271, 1.0786950116553806, 1.0895187674511537, 1.0998766621336495, 1.109617418564342, 1.118594735342791, 1.12667290964689, 1.1337334518836792, 1.1396828249474795, 1.1444614818960885, 1.1480544470529594, 1.150503822498796, 1.1519239060234079, 1.152520452166579, 1.1526193943030956], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.29089783053543206}

10.755079

1

4.141819

[ [ 0.9163774057246757, 0.9163774092637235, 0.9163775480726797, 0.9163786238933427, 0.916382935843587, 0.9163951383438113, 0.916423030620123, 0.9164782282659664, 0.9165766868723593, 0.9167390591787049, 0.9169908749881525, 0.9173625388885283, 0.9178891453965755, 0.9186101149147599, 0.9195686571004318, 0.9208110710507533, 0.9223858942061939, 0.9243429141422161, 0.9267320595049916, 0.9296021882916892, 0.9329997935094728, 0.9369676479942688, 0.9415434118509959, 0.9467582276089026, 0.9526353297847749, 0.959188697127973, 0.9664217773991638, 0.9743263161243193, 0.9828813223832202, 0.9920522063555075, 1.0017901250783037, 1.0120315746929363, 1.022698269405652, 1.0336973494982233, 1.0449219630509137, 1.0562522686514861, 1.0675569093543271, 1.0786950116553806, 1.0895187674511537, 1.0998766621336495, 1.109617418564342, 1.118594735342791, 1.12667290964689, 1.1337334518836792, 1.1396828249474795, 1.1444614818960885, 1.1480544470529594, 1.150503822498796, 1.1519239060234079, 1.152520452166579, 1.1526193943030956 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.18228117893709367, -0.3336454706277993, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.290898

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

DcUmuegyXXGLtYNqbqiWdwP

null

false

null

false

DSXkRXhFNRMPBGrwPd3wKJp

D8t26N2jnR6VHtHdMHvTvL5

{"qi": 0.003987635063491448, "vacuum_well": 0.07997650647720426, "aspect_ratio": 9.429911560920566, "max_elongation": 6.55212753831912, "average_triangularity": 0.42669027253088604, "axis_magnetic_mirror_ratio": 0.3314148024633996, "edge_magnetic_mirror_ratio": 0.38670943900360194, "aspect_ratio_over_edge_rotational_transform": 81.32061410370366, "flux_compression_in_regions_of_bad_curvature": 0.6667774354229151, "axis_rotational_transform_over_n_field_periods": 0.18730999394677, "edge_rotational_transform_over_n_field_periods": 0.11595966981871439, "minimum_normalized_magnetic_gradient_scale_length": 1.3192264691786266}

9.429912

81.320614

0.462139

0.331415

0.18731

0.386709

0.11596

0.666777

6.552128

1.319226

0.003988

0.079977

{"r_cos":[[0.0,0.0,0.0,0.0,0.994596667687157,-0.1482503961619299,-0.19501555406821286,0.01652814945384779,0.017332501569271786],[0.004346438070000038,-0.020908179011552362,0.0314035825656774,0.006550960146715069,0.07897666865058715,-0.03607068626297355,0.03999896748975227,-0.008678971799422912,-0.0011599199069925266],[0.0009843120541837684,-0.00898650372472274,0.010188217395758526,0.024979349959752872,-0.021800974266501585,-0.019005523085647832,0.008737417171157297,0.007120623057774791,-0.00028560551388753504],[-0.0005600623522543181,0.00368530593479745,0.0019176730913455578,-0.010173862104675597,-0.000013377026927842949,0.005021527287133591,0.0006911073384253726,-0.0006101015795032486,0.00034764705606612584],[-0.0003974859529684069,0.0003475339010271824,0.0014804702418771821,-0.0006196271839410345,-0.0018285146982255488,-0.0002217661992842687,0.0007108830898205368,0.0003681009516873182,0.00008768429904290555]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12678760851411952,-0.004012616222721033,-0.005899279937779691,0.008271215894207824],[8.469839498331897e-6,-0.011095679426373474,0.041722566815946556,-0.0947480954521856,-0.10517581681958077,0.0988721279322462,-0.01201410161922599,0.0007110859434554598,0.0006387014601381671],[0.0003197337773860288,0.0003955301032707093,0.006779509165410624,-0.00931263238665383,0.004095509923008417,0.007345126391864556,0.011269601444429364,0.0017604468393390019,0.00038685000405448266],[-0.0006475580155527742,0.0012444778589991532,-0.007729151540804788,-0.0013244113746327792,0.0062026836940124236,0.0025981685497351876,-0.00004255818590856919,0.0008673934122099436,0.0000862544313105776],[0.00027659645967669975,0.00020486872016538016,-0.0005037782478215487,-0.0008778335431557932,-0.0003936879184875076,0.0009085572384173278,0.0003827256393787422,0.00010360600673272473,8.392113410099532e-6]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.994596667687157, -0.1482503961619299, -0.19501555406821286, 0.01652814945384779, 0.017332501569271786 ], [ 0.004346438070000038, -0.020908179011552362, 0.0314035825656774, 0.006550960146715069, 0.07897666865058715, -0.03607068626297355, 0.03999896748975227, -0.008678971799422912, -0.0011599199069925266 ], [ 0.0009843120541837684, -0.00898650372472274, 0.010188217395758526, 0.024979349959752872, -0.021800974266501585, -0.019005523085647832, 0.008737417171157297, 0.007120623057774791, -0.00028560551388753504 ], [ -0.0005600623522543181, 0.00368530593479745, 0.0019176730913455578, -0.010173862104675597, -0.000013377026927842949, 0.005021527287133591, 0.0006911073384253726, -0.0006101015795032486, 0.00034764705606612584 ], [ -0.0003974859529684069, 0.0003475339010271824, 0.0014804702418771821, -0.0006196271839410345, -0.0018285146982255488, -0.0002217661992842687, 0.0007108830898205368, 0.0003681009516873182, 0.00008768429904290555 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12678760851411952, -0.004012616222721033, -0.005899279937779691, 0.008271215894207824 ], [ 0.000008469839498331897, -0.011095679426373474, 0.041722566815946556, -0.0947480954521856, -0.10517581681958077, 0.0988721279322462, -0.01201410161922599, 0.0007110859434554598, 0.0006387014601381671 ], [ 0.0003197337773860288, 0.0003955301032707093, 0.006779509165410624, -0.00931263238665383, 0.004095509923008417, 0.007345126391864556, 0.011269601444429364, 0.0017604468393390019, 0.00038685000405448266 ], [ -0.0006475580155527742, 0.0012444778589991532, -0.007729151540804788, -0.0013244113746327792, 0.0062026836940124236, 0.0025981685497351876, -0.00004255818590856919, 0.0008673934122099436, 0.0000862544313105776 ], [ 0.00027659645967669975, 0.00020486872016538016, -0.0005037782478215487, -0.0008778335431557932, -0.0003936879184875076, 0.0009085572384173278, 0.0003827256393787422, 0.00010360600673272473, 0.000008392113410099532 ] ]

DeqLmGAYGn6h3aNiVpSS6pg

{"aspect_ratio": 10.102939033624098, "major_radius": 1.0, "max_elongation": 6.195651765928115, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2000565792857025, -0.1440394927021896, 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": [[0.6722081363843586, 0.6722084140489131, 0.6722166686645968, 0.6722693675622202, 0.6724502162640774, 0.6728980888838432, 0.6738061131489297, 0.675414059285702, 0.67799602241963, 0.6818451633823371, 0.6872570306618855, 0.6945127442535846, 0.7038630885493704, 0.7155143404663649, 0.7296164532075304, 0.7462540267957898, 0.7654403246457355, 0.7871144413629518, 0.8111415908541344, 0.8373163656655154, 0.8653687180729437, 0.894972330541208, 0.9257549773758901, 0.9573104302504816, 0.9892114272746364, 1.0210232077789698, 1.0523171123658899, 1.0826837592888925, 1.1117453330838265, 1.139166558726545, 1.1646639835017911, 1.1880132482296384, 1.209054098413537, 1.2276929630562439, 1.2439030130339646, 1.2577217005936667, 1.2692458751606392, 1.27862466644747, 1.2860504218533135, 1.2917480790668567, 1.295963444016028, 1.2989509257558307, 1.3009613498407244, 1.3022305256062678, 1.3029692747398083, 1.3033556307843195, 1.3035298809235618, 1.3035930262645152, 1.3036090581498772, 1.303611135740885, 1.3036111875543082], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.273107998287647}

10.102939

1

6.195652

[ [ 0.6722081363843586, 0.6722084140489131, 0.6722166686645968, 0.6722693675622202, 0.6724502162640774, 0.6728980888838432, 0.6738061131489297, 0.675414059285702, 0.67799602241963, 0.6818451633823371, 0.6872570306618855, 0.6945127442535846, 0.7038630885493704, 0.7155143404663649, 0.7296164532075304, 0.7462540267957898, 0.7654403246457355, 0.7871144413629518, 0.8111415908541344, 0.8373163656655154, 0.8653687180729437, 0.894972330541208, 0.9257549773758901, 0.9573104302504816, 0.9892114272746364, 1.0210232077789698, 1.0523171123658899, 1.0826837592888925, 1.1117453330838265, 1.139166558726545, 1.1646639835017911, 1.1880132482296384, 1.209054098413537, 1.2276929630562439, 1.2439030130339646, 1.2577217005936667, 1.2692458751606392, 1.27862466644747, 1.2860504218533135, 1.2917480790668567, 1.295963444016028, 1.2989509257558307, 1.3009613498407244, 1.3022305256062678, 1.3029692747398083, 1.3033556307843195, 1.3035298809235618, 1.3035930262645152, 1.3036090581498772, 1.303611135740885, 1.3036111875543082 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2000565792857025, -0.1440394927021896, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.273108

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

D7srM6BcaaMBj3ezAZPNbN6

null

false

null

false

D5nYn7CJFnEGEZ54Br2sM3A

DC9JBqbG9UkFVT9ky5gVJF2

{"qi": 0.012679259231325292, "vacuum_well": -0.12168872356484109, "aspect_ratio": 10.18415173401109, "max_elongation": 4.368274274795891, "average_triangularity": -0.5537239031869947, "axis_magnetic_mirror_ratio": 0.11144326380529174, "edge_magnetic_mirror_ratio": 0.17191453097623133, "aspect_ratio_over_edge_rotational_transform": 23.94170067220413, "flux_compression_in_regions_of_bad_curvature": 1.2973748294994134, "axis_rotational_transform_over_n_field_periods": 0.19621711872269204, "edge_rotational_transform_over_n_field_periods": 0.2126864727248616, "minimum_normalized_magnetic_gradient_scale_length": 5.930652245366831}

10.184152

23.941701

-0.890367

0.111443

0.196217

0.171915

0.212686

1.297375

4.368274

5.930652

0.012679

-0.121689

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.010661992052447875,-0.05119513528265094,0.001602635618808475,0.0006162570266582888],[0.00005276549826403675,-0.009345933476527953,0.03651160258517393,-0.030271922111168567,0.07816075624753366,-0.01753091786822053,-0.005844565271741396,-0.0018402131796067867,-0.0004299293080881402],[-0.0007402445828703394,0.004371090824457933,-0.008590253033801261,-0.003383240181917594,-0.016102259536987327,-0.000997364965135069,-0.004631531344018421,-0.0004930251799172601,-0.0007104929743190307],[-0.00012162419601904752,-0.0007175924545361704,0.0023840609614271405,0.000896819500159702,0.0020597362056186896,-0.00081832560675683,-0.00023238624270697865,-0.00013075744627306934,-0.00007122203704169293],[-7.098674271009732e-6,0.00021288168036907659,0.0004625400759387592,-0.00012291295787991274,0.00009755158761319983,-0.00020169570983038457,0.000019043426577861007,0.00010730662261080717,1.3350335668970104e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07134780001260115,0.028572120561415375,-0.002808369049330921,-0.0000779137184197913],[0.0002564170581572708,-0.010538023653322648,0.04718133962485889,-0.02832043281766571,-0.1637531909250293,-0.00583468358239703,-0.006313186683624197,-0.0002891723993782378,0.0003083973040420253],[-0.00048996333301503,0.006252769312531872,-0.018486035703428744,0.01342499997900336,-0.0017313570518390354,-0.0007453686778167452,0.002222531079742773,0.00014866192345871143,0.0009571547638480458],[-0.00017320275234795435,0.0001996474076795228,0.0014823912461111423,0.005822046101895533,-0.004039665114379568,0.0014562928182233954,-0.00032778466756457503,0.000011378163631463548,0.00017478787299647977],[0.00014719548000205539,0.0006080688934912521,-0.000489001503463384,-0.0008590385439563424,-0.0005694787538541748,0.000526968190833101,-0.000060606217952064784,-0.0002447248965763098,4.158314247592693e-7]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.010661992052447875, -0.05119513528265094, 0.001602635618808475, 0.0006162570266582888 ], [ 0.00005276549826403675, -0.009345933476527953, 0.03651160258517393, -0.030271922111168567, 0.07816075624753366, -0.01753091786822053, -0.005844565271741396, -0.0018402131796067867, -0.0004299293080881402 ], [ -0.0007402445828703394, 0.004371090824457933, -0.008590253033801261, -0.003383240181917594, -0.016102259536987327, -0.000997364965135069, -0.004631531344018421, -0.0004930251799172601, -0.0007104929743190307 ], [ -0.00012162419601904752, -0.0007175924545361704, 0.0023840609614271405, 0.000896819500159702, 0.0020597362056186896, -0.00081832560675683, -0.00023238624270697865, -0.00013075744627306934, -0.00007122203704169293 ], [ -0.000007098674271009732, 0.00021288168036907659, 0.0004625400759387592, -0.00012291295787991274, 0.00009755158761319983, -0.00020169570983038457, 0.000019043426577861007, 0.00010730662261080717, 0.0000013350335668970104 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07134780001260115, 0.028572120561415375, -0.002808369049330921, -0.0000779137184197913 ], [ 0.0002564170581572708, -0.010538023653322648, 0.04718133962485889, -0.02832043281766571, -0.1637531909250293, -0.00583468358239703, -0.006313186683624197, -0.0002891723993782378, 0.0003083973040420253 ], [ -0.00048996333301503, 0.006252769312531872, -0.018486035703428744, 0.01342499997900336, -0.0017313570518390354, -0.0007453686778167452, 0.002222531079742773, 0.00014866192345871143, 0.0009571547638480458 ], [ -0.00017320275234795435, 0.0001996474076795228, 0.0014823912461111423, 0.005822046101895533, -0.004039665114379568, 0.0014562928182233954, -0.00032778466756457503, 0.000011378163631463548, 0.00017478787299647977 ], [ 0.00014719548000205539, 0.0006080688934912521, -0.000489001503463384, -0.0008590385439563424, -0.0005694787538541748, 0.000526968190833101, -0.000060606217952064784, -0.0002447248965763098, 4.158314247592693e-7 ] ]

Dm33W2hAyVgEx3T8XnLmT6S

{"aspect_ratio": 11.231406551019187, "major_radius": 1.0, "max_elongation": 4.204853321583897, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.24681280587182866, 0.10487331384823363, 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": [[0.8968588227738232, 0.8968588277985052, 0.8968590564778915, 0.8968609816126736, 0.896869105770558, 0.8968928799262799, 0.8969484240770168, 0.8970598607981558, 0.8972601538800543, 0.8975913986335023, 0.8981045502526901, 0.8988586069016021, 0.8999192876067703, 0.9013572631645621, 0.9032460121108691, 0.9056593840432526, 0.9086689597247802, 0.9123413018046292, 0.9167351919487066, 0.9218989499108556, 0.9278679277761235, 0.9346622684251435, 0.9422850113323435, 0.9507206212316738, 0.9599340060589745, 0.9698700799960123, 0.980453915474944, 0.9915915147240223, 1.0031712169110036, 1.01506574123127, 1.0271348494517696, 1.0392285935165733, 1.0511910949018295, 1.0628647825347972, 1.0740949953234642, 1.084734833744342, 1.094650122577399, 1.1037243238398255, 1.111863215350314, 1.1189991262704635, 1.125094496570103, 1.1301445028489423, 1.134178468596785, 1.1372597531964064, 1.1394837913973122, 1.1409739346530396, 1.1418747294662475, 1.142342259347524, 1.1425311842750263, 1.142578156733581, 1.1425814630255637], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.4035613939540873}

11.231407

1

4.204853

[ [ 0.8968588227738232, 0.8968588277985052, 0.8968590564778915, 0.8968609816126736, 0.896869105770558, 0.8968928799262799, 0.8969484240770168, 0.8970598607981558, 0.8972601538800543, 0.8975913986335023, 0.8981045502526901, 0.8988586069016021, 0.8999192876067703, 0.9013572631645621, 0.9032460121108691, 0.9056593840432526, 0.9086689597247802, 0.9123413018046292, 0.9167351919487066, 0.9218989499108556, 0.9278679277761235, 0.9346622684251435, 0.9422850113323435, 0.9507206212316738, 0.9599340060589745, 0.9698700799960123, 0.980453915474944, 0.9915915147240223, 1.0031712169110036, 1.01506574123127, 1.0271348494517696, 1.0392285935165733, 1.0511910949018295, 1.0628647825347972, 1.0740949953234642, 1.084734833744342, 1.094650122577399, 1.1037243238398255, 1.111863215350314, 1.1189991262704635, 1.125094496570103, 1.1301445028489423, 1.134178468596785, 1.1372597531964064, 1.1394837913973122, 1.1409739346530396, 1.1418747294662475, 1.142342259347524, 1.1425311842750263, 1.142578156733581, 1.1425814630255637 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.24681280587182866, 0.10487331384823363, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.403561

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

D3UfQ4LdqcAnRb4VX57ypkA

null

false

null

false

DdHQUCQ8QtaomHXogqRddp6

DNVeH54SAf4PHasMfMDUPTK

{"qi": 0.02263668138313746, "vacuum_well": -0.0590480831617749, "aspect_ratio": 8.058559831533561, "max_elongation": 5.597004157522575, "average_triangularity": -0.5906035752815874, "axis_magnetic_mirror_ratio": 0.5086034756955489, "edge_magnetic_mirror_ratio": 0.8472435177204821, "aspect_ratio_over_edge_rotational_transform": 12.942751064001518, "flux_compression_in_regions_of_bad_curvature": 1.1133091849427852, "axis_rotational_transform_over_n_field_periods": 0.24270274610817147, "edge_rotational_transform_over_n_field_periods": 0.2075437128650682, "minimum_normalized_magnetic_gradient_scale_length": 2.35296178127403}

8.05856

12.942751

-0.752347

0.508603

0.242703

0.847244

0.207544

1.113309

5.597004

2.352962

0.022637

-0.059048

{"r_cos":[[0.0,0.0,0.0,0.0,0.9899259123320446,0.1889712850011852,-0.054285410110092726,-0.008767925277988767,0.0028707028413874364],[-0.00042417892322633305,0.013925230372129196,0.04780880928441196,-0.006529905878459558,0.1164109053217207,-0.041686064671216896,0.0056963086286034754,-0.0018112824563560432,-0.00027590540567469274],[0.0014631908340753531,-0.00473049160166838,-0.015274090112244733,0.006679667368196466,-0.014672241243096547,-0.008073246375650862,-0.0006652287976703902,-0.0008262485688711092,-0.00022325454653534865],[-0.0014124942698773282,0.00008119684520641664,-0.0025427478429010534,-0.003413297720396999,0.0024913658874589372,-0.005463975525123089,0.003000896061161656,-0.0009711255527009708,0.00005908371856679453],[-0.0004179860315130646,-0.0004043325111485828,0.0001413095675886657,-0.0011704397627860137,0.0006015672407281014,-0.0005613868235092977,0.0006100275592573527,-0.00031355604045830624,0.00004984628171728967]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.10800180486875433,0.03657877444431907,0.0018509546599397159,-0.00046146122979350864],[-0.00022145496323334364,0.013588336430393946,0.057790259167247615,-0.009133046940281235,-0.15139826989122432,0.010524423847473615,0.004726601327986895,-0.001582816824944191,-0.00012936825189729378],[-0.0008019704655664242,-0.013656826728708688,-0.020861440459033286,0.010498248379197972,-0.012813944114435842,0.005755700424700824,0.005751780468561555,-0.0008287470347843389,0.00041761388048471937],[0.0004141098093073762,0.0015473296994573747,-0.002896819024554043,-0.0014655545473940827,-0.002320523981627216,0.0029224399494992945,-0.0008431576141570227,0.0001414543064974284,0.0000796211473929479],[-0.00003419445241019066,0.00013769920025442304,0.00041951302832498216,0.00039422143855846075,0.00003095004311718264,0.00005763236429278033,-0.00016629538415306494,0.00007841036609947451,0.00005731921411601518]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9899259123320446, 0.1889712850011852, -0.054285410110092726, -0.008767925277988767, 0.0028707028413874364 ], [ -0.00042417892322633305, 0.013925230372129196, 0.04780880928441196, -0.006529905878459558, 0.1164109053217207, -0.041686064671216896, 0.0056963086286034754, -0.0018112824563560432, -0.00027590540567469274 ], [ 0.0014631908340753531, -0.00473049160166838, -0.015274090112244733, 0.006679667368196466, -0.014672241243096547, -0.008073246375650862, -0.0006652287976703902, -0.0008262485688711092, -0.00022325454653534865 ], [ -0.0014124942698773282, 0.00008119684520641664, -0.0025427478429010534, -0.003413297720396999, 0.0024913658874589372, -0.005463975525123089, 0.003000896061161656, -0.0009711255527009708, 0.00005908371856679453 ], [ -0.0004179860315130646, -0.0004043325111485828, 0.0001413095675886657, -0.0011704397627860137, 0.0006015672407281014, -0.0005613868235092977, 0.0006100275592573527, -0.00031355604045830624, 0.00004984628171728967 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.10800180486875433, 0.03657877444431907, 0.0018509546599397159, -0.00046146122979350864 ], [ -0.00022145496323334364, 0.013588336430393946, 0.057790259167247615, -0.009133046940281235, -0.15139826989122432, 0.010524423847473615, 0.004726601327986895, -0.001582816824944191, -0.00012936825189729378 ], [ -0.0008019704655664242, -0.013656826728708688, -0.020861440459033286, 0.010498248379197972, -0.012813944114435842, 0.005755700424700824, 0.005751780468561555, -0.0008287470347843389, 0.00041761388048471937 ], [ 0.0004141098093073762, 0.0015473296994573747, -0.002896819024554043, -0.0014655545473940827, -0.002320523981627216, 0.0029224399494992945, -0.0008431576141570227, 0.0001414543064974284, 0.0000796211473929479 ], [ -0.00003419445241019066, 0.00013769920025442304, 0.00041951302832498216, 0.00039422143855846075, 0.00003095004311718264, 0.00005763236429278033, -0.00016629538415306494, 0.00007841036609947451, 0.00005731921411601518 ] ]

DVsoDHGWPFC56AfMw5HQPvz

{"aspect_ratio": 8.019002327361267, "major_radius": 1.0, "max_elongation": 6.597418658523427, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.3502341798414941, 0.2691579622159344, 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": [[0.6117488779203479, 0.6117569272379689, 0.6118698562869037, 0.6123220559462176, 0.6134406498402383, 0.6155998543989422, 0.6191836191831007, 0.6245558903063994, 0.6320377619359894, 0.6418907782340725, 0.6543056678761847, 0.6693958222368979, 0.6871948617011542, 0.7076576702395625, 0.7306643153219333, 0.7560263078473647, 0.7834946946869776, 0.8127695144382041, 0.8435101849202467, 0.8753464286847008, 0.9078893802855612, 0.940742556177771, 0.9735124048325243, 1.0058181909165824, 1.037301003131477, 1.067631710497924, 1.096517726452275, 1.1237084740454093, 1.1489994787474895, 1.1722350478080665, 1.193309526738663, 1.212167154206063, 1.2288005663726804, 1.243248030408627, 1.2555895144283558, 1.2659417273561784, 1.2744522870614738, 1.2812931983603257, 1.2866538439539505, 1.2907337108155876, 1.293735091630785, 1.295856015233472, 1.2972836710218592, 1.2981885993468563, 1.2987199217985765, 1.2990018806322259, 1.2991319428668318, 1.299180697826131, 1.2991937296323823, 1.2991955626335545, 1.2991956155369284], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.7845646355473979}

8.019002

1

6.597419

[ [ 0.6117488779203479, 0.6117569272379689, 0.6118698562869037, 0.6123220559462176, 0.6134406498402383, 0.6155998543989422, 0.6191836191831007, 0.6245558903063994, 0.6320377619359894, 0.6418907782340725, 0.6543056678761847, 0.6693958222368979, 0.6871948617011542, 0.7076576702395625, 0.7306643153219333, 0.7560263078473647, 0.7834946946869776, 0.8127695144382041, 0.8435101849202467, 0.8753464286847008, 0.9078893802855612, 0.940742556177771, 0.9735124048325243, 1.0058181909165824, 1.037301003131477, 1.067631710497924, 1.096517726452275, 1.1237084740454093, 1.1489994787474895, 1.1722350478080665, 1.193309526738663, 1.212167154206063, 1.2288005663726804, 1.243248030408627, 1.2555895144283558, 1.2659417273561784, 1.2744522870614738, 1.2812931983603257, 1.2866538439539505, 1.2907337108155876, 1.293735091630785, 1.295856015233472, 1.2972836710218592, 1.2981885993468563, 1.2987199217985765, 1.2990018806322259, 1.2991319428668318, 1.299180697826131, 1.2991937296323823, 1.2991955626335545, 1.2991956155369284 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.3502341798414941, 0.2691579622159344, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.784565

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

DdnGif4D8KMnNUK3FsXyUXR

null

false

null

false

DDaJRZy7JVDgvjGwLCFHuBH

DDRV9eMkeY3ZprQWDinejiz

{"qi": 0.023953611221379262, "vacuum_well": -0.029945838080667517, "aspect_ratio": 7.5190892287504525, "max_elongation": 6.815024757072633, "average_triangularity": -0.43847455212554254, "axis_magnetic_mirror_ratio": 0.5509200716544645, "edge_magnetic_mirror_ratio": 0.7905055484122843, "aspect_ratio_over_edge_rotational_transform": 11.867082843446441, "flux_compression_in_regions_of_bad_curvature": 2.086880134857658, "axis_rotational_transform_over_n_field_periods": 0.17502363343841443, "edge_rotational_transform_over_n_field_periods": 0.15840222335902132, "minimum_normalized_magnetic_gradient_scale_length": 2.3122088368615}

7.519089

11.867083

-0.508959

0.55092

0.175024

0.790506

0.158402

2.08688

6.815025

2.312209

0.023954

-0.029946

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.2631871604367607,-0.053067463826270644,-0.013287855170554672,0.0021559590962449285],[0.004097177808459801,0.005612790003376502,0.021909668079221064,0.05706585303241287,0.0735808634183565,-0.045081287148190936,0.012577918320347149,0.002553341843272799,-0.002227404478146802],[-0.0012195894036252397,-0.0029302420790056046,-0.007968042874307177,0.0012193692578220323,-0.011145475034623957,-0.004531456076663931,0.002171279896202722,-0.002394075542651644,0.0002987640732366358],[0.0004118507914275027,-0.0001750976359358195,0.0007509217724299635,0.0002248612446526073,0.000822399432910497,-0.00030161930806680046,-0.0009000550355174832,0.0007832995660703229,-0.0002756919669543946],[-0.00010886767763637888,0.00006988642564065349,-0.0002543447432969489,-0.00021084894649393883,-0.0002849866726725575,-0.0006544404345169108,0.00018151931475821184,-0.00018678910338703323,0.00002925170875979369]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.10479885764620789,0.026793910154272484,0.007611957001701412,-0.0019316962143855927],[0.0028908571470281454,0.020968920829751166,0.05600818424006544,0.013598639729598593,-0.21168580920572028,0.05113026545607199,-0.008534976914070281,-0.003209824386289648,0.0016842286041211948],[-0.0018391981717344518,-0.008645678310247158,-0.009879103142501788,-0.014598013799705337,-0.012291808952570857,0.01900867594402353,-0.006239551737330599,0.0045427401233693945,-0.0008075000777501798],[-0.0004084448141608506,-0.0025169116534309,0.0003309061388433055,-0.004967369498948357,0.0006704908905681455,-0.0017642204525360864,0.0021721631712246937,-0.0015035714086178772,0.00027629191003268475],[0.00031023947726944756,0.000069427677371974,0.0002212327298665636,0.0002678040404167797,-0.000261769488390636,0.0010559325611188158,-0.0003793580871449669,0.00033053414661339005,-4.428172091288111e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.2631871604367607, -0.053067463826270644, -0.013287855170554672, 0.0021559590962449285 ], [ 0.004097177808459801, 0.005612790003376502, 0.021909668079221064, 0.05706585303241287, 0.0735808634183565, -0.045081287148190936, 0.012577918320347149, 0.002553341843272799, -0.002227404478146802 ], [ -0.0012195894036252397, -0.0029302420790056046, -0.007968042874307177, 0.0012193692578220323, -0.011145475034623957, -0.004531456076663931, 0.002171279896202722, -0.002394075542651644, 0.0002987640732366358 ], [ 0.0004118507914275027, -0.0001750976359358195, 0.0007509217724299635, 0.0002248612446526073, 0.000822399432910497, -0.00030161930806680046, -0.0009000550355174832, 0.0007832995660703229, -0.0002756919669543946 ], [ -0.00010886767763637888, 0.00006988642564065349, -0.0002543447432969489, -0.00021084894649393883, -0.0002849866726725575, -0.0006544404345169108, 0.00018151931475821184, -0.00018678910338703323, 0.00002925170875979369 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.10479885764620789, 0.026793910154272484, 0.007611957001701412, -0.0019316962143855927 ], [ 0.0028908571470281454, 0.020968920829751166, 0.05600818424006544, 0.013598639729598593, -0.21168580920572028, 0.05113026545607199, -0.008534976914070281, -0.003209824386289648, 0.0016842286041211948 ], [ -0.0018391981717344518, -0.008645678310247158, -0.009879103142501788, -0.014598013799705337, -0.012291808952570857, 0.01900867594402353, -0.006239551737330599, 0.0045427401233693945, -0.0008075000777501798 ], [ -0.0004084448141608506, -0.0025169116534309, 0.0003309061388433055, -0.004967369498948357, 0.0006704908905681455, -0.0017642204525360864, 0.0021721631712246937, -0.0015035714086178772, 0.00027629191003268475 ], [ 0.00031023947726944756, 0.000069427677371974, 0.0002212327298665636, 0.0002678040404167797, -0.000261769488390636, 0.0010559325611188158, -0.0003793580871449669, 0.00033053414661339005, -0.000004428172091288111 ] ]

DkTJDbxe4u6wqsKoPpd9xHg

{"aspect_ratio": 7.2478731629737245, "major_radius": 1.0, "max_elongation": 5.918426756450936, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.19745700178503275, -0.019748044891961702, 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": [[0.7198750550193898, 0.719881405840861, 0.719950597970066, 0.7201916844747626, 0.7207406044668907, 0.7217466328499773, 0.7233633927753091, 0.7257422072303114, 0.7290269649144331, 0.7333500860664179, 0.7388293452513024, 0.7455653936712995, 0.7536398715070957, 0.7631140299483273, 0.7740278014160943, 0.7863992692518335, 0.8002244971329044, 0.8154776849898052, 0.832111623036654, 0.8500584191850374, 0.8692304779169167, 0.889521710863002, 0.9108089610181738, 0.9329536238291406, 0.9558034493846284, 0.9791945106761946, 1.0029533234135013, 1.026899103194479, 1.0508461459611516, 1.074606317620101, 1.0979916384682102, 1.1208169476262184, 1.1429026320212763, 1.16407740353909, 1.1841811067339494, 1.203067537866097, 1.2206072539238404, 1.2366903475294042, 1.2512291599994583, 1.2641609000011735, 1.2754501287048097, 1.2850910632839505, 1.29310963774533, 1.299565241141905, 1.3045520241912287, 1.308199618381232, 1.3106730304097256, 1.3121713208280668, 1.3129243437417994, 1.3131859476353962, 1.3132185253517732], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6467596978264119}

7.247873

1

5.918427

[ [ 0.7198750550193898, 0.719881405840861, 0.719950597970066, 0.7201916844747626, 0.7207406044668907, 0.7217466328499773, 0.7233633927753091, 0.7257422072303114, 0.7290269649144331, 0.7333500860664179, 0.7388293452513024, 0.7455653936712995, 0.7536398715070957, 0.7631140299483273, 0.7740278014160943, 0.7863992692518335, 0.8002244971329044, 0.8154776849898052, 0.832111623036654, 0.8500584191850374, 0.8692304779169167, 0.889521710863002, 0.9108089610181738, 0.9329536238291406, 0.9558034493846284, 0.9791945106761946, 1.0029533234135013, 1.026899103194479, 1.0508461459611516, 1.074606317620101, 1.0979916384682102, 1.1208169476262184, 1.1429026320212763, 1.16407740353909, 1.1841811067339494, 1.203067537866097, 1.2206072539238404, 1.2366903475294042, 1.2512291599994583, 1.2641609000011735, 1.2754501287048097, 1.2850910632839505, 1.29310963774533, 1.299565241141905, 1.3045520241912287, 1.308199618381232, 1.3106730304097256, 1.3121713208280668, 1.3129243437417994, 1.3131859476353962, 1.3132185253517732 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.19745700178503275, -0.019748044891961702, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.64676

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

D7fc6274exY9ebufsNh9AK6

null

false

null

false

DDUoEYbaMTeK7LwNuitZQTB

D4qxBQhtepNpu8pfEiTWzLV

{"qi": 0.002462042638088297, "vacuum_well": -0.006110018639393411, "aspect_ratio": 9.472396287532208, "max_elongation": 4.404396929784163, "average_triangularity": -0.049764906359109906, "axis_magnetic_mirror_ratio": 0.3769266798188431, "edge_magnetic_mirror_ratio": 0.4170980849331562, "aspect_ratio_over_edge_rotational_transform": 94.16619137056601, "flux_compression_in_regions_of_bad_curvature": 0.5685574656642557, "axis_rotational_transform_over_n_field_periods": 0.1050175383847337, "edge_rotational_transform_over_n_field_periods": 0.10059232671157008, "minimum_normalized_magnetic_gradient_scale_length": 2.9614704907348095}

9.472396

94.166191

-0.045142

0.376927

0.105018

0.417098

0.100592

0.568557

4.404397

2.96147

0.002462

-0.00611

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.002008974876958367,-0.20467298485242713,0.0018368605492272605,0.008983903535553216],[0.0006024746778626044,-0.004836421775370725,0.02402684641791241,-0.015682234371171527,0.08921662634887355,-0.015929033536759202,0.003927510617421474,-0.0051009167358225214,0.00014857148246217837],[0.0002345199055428876,-0.0009080488284864169,-0.00032144121436413636,0.0021857755904696905,-0.0027736428307048528,-0.002461810978952663,-0.0010167567091572483,-0.0010594839464524034,-0.00021250416052836339],[-0.00028262729298468917,-0.0010567187045863215,-0.002794164971224166,-0.0007828507863109871,-0.0029878770898651664,0.000466728464451981,0.001810973645177605,-0.00002846664866240124,0.00017127770761291635],[0.00005137004655376993,-0.00009377018377865393,0.00021423444592931444,0.0007870018614667133,0.00011339204172126395,0.00023196656316229946,-0.000113331425018673,0.00011977035621740209,0.00011269168409668079]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.012550957346688284,0.011898276825945533,-0.002750140164795058,-0.0014309527129510256],[0.001057033477325015,-0.00898644255553392,0.04433461238761141,0.0012387245700743986,-0.13607873698772463,0.002387704369024188,0.014134825885921505,0.00958757089218862,0.00007312618898779673],[-0.0007519012202798637,0.0008445965477973274,0.0003789048397627938,0.0023931634742649856,0.003951033020284365,-0.0014587258934264046,-0.003820430639157875,0.0005148312728741264,0.000953288550387673],[-0.0010322948818940127,-0.0006073868963297406,-0.0024166681891199713,0.0018529163059152393,0.03007888780120495,-0.0010404602683119326,-0.007810845345383212,0.0002552270945850289,-0.000180402805624356],[2.9990504191955143e-6,0.00004794695395931332,0.0002319892721581415,-0.0004517754777806815,-0.0007631439967162718,-0.00007781037263154518,0.0007859856358726526,-0.00014606654632484531,-0.00009366330953863535]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.002008974876958367, -0.20467298485242713, 0.0018368605492272605, 0.008983903535553216 ], [ 0.0006024746778626044, -0.004836421775370725, 0.02402684641791241, -0.015682234371171527, 0.08921662634887355, -0.015929033536759202, 0.003927510617421474, -0.0051009167358225214, 0.00014857148246217837 ], [ 0.0002345199055428876, -0.0009080488284864169, -0.00032144121436413636, 0.0021857755904696905, -0.0027736428307048528, -0.002461810978952663, -0.0010167567091572483, -0.0010594839464524034, -0.00021250416052836339 ], [ -0.00028262729298468917, -0.0010567187045863215, -0.002794164971224166, -0.0007828507863109871, -0.0029878770898651664, 0.000466728464451981, 0.001810973645177605, -0.00002846664866240124, 0.00017127770761291635 ], [ 0.00005137004655376993, -0.00009377018377865393, 0.00021423444592931444, 0.0007870018614667133, 0.00011339204172126395, 0.00023196656316229946, -0.000113331425018673, 0.00011977035621740209, 0.00011269168409668079 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.012550957346688284, 0.011898276825945533, -0.002750140164795058, -0.0014309527129510256 ], [ 0.001057033477325015, -0.00898644255553392, 0.04433461238761141, 0.0012387245700743986, -0.13607873698772463, 0.002387704369024188, 0.014134825885921505, 0.00958757089218862, 0.00007312618898779673 ], [ -0.0007519012202798637, 0.0008445965477973274, 0.0003789048397627938, 0.0023931634742649856, 0.003951033020284365, -0.0014587258934264046, -0.003820430639157875, 0.0005148312728741264, 0.000953288550387673 ], [ -0.0010322948818940127, -0.0006073868963297406, -0.0024166681891199713, 0.0018529163059152393, 0.03007888780120495, -0.0010404602683119326, -0.007810845345383212, 0.0002552270945850289, -0.000180402805624356 ], [ 0.0000029990504191955143, 0.00004794695395931332, 0.0002319892721581415, -0.0004517754777806815, -0.0007631439967162718, -0.00007781037263154518, 0.0007859856358726526, -0.00014606654632484531, -0.00009366330953863535 ] ]

DdGSqbKZkWdL7dCcrWxBv95

{"aspect_ratio": 11.846459501324974, "major_radius": 1.0, "max_elongation": 6.779994220366026, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.008323483273761756, 0.10012726134994894, 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": [[0.7369406687156914, 0.7369406696838231, 0.7369407260243228, 0.7369412856997304, 0.736943973491297, 0.7369527408642268, 0.7369752788389617, 0.7370246019132966, 0.7371207190327755, 0.7372923139011133, 0.7375783624092868, 0.7380296200140294, 0.738709916713174, 0.7396972019691406, 0.7410842866069494, 0.7429792334231908, 0.7455053530402976, 0.7488007664738277, 0.7530175009952528, 0.7583200912159882, 0.7648836629405006, 0.7728914832932805, 0.7825319669801863, 0.7939951353737741, 0.8074685325034049, 0.8231326100911451, 0.841155602634622, 0.8616879233601873, 0.8848561228573575, 0.9107564646168556, 0.9394481858620896, 0.970946528421077, 1.0052156435064044, 1.042161496925831, 1.0816249284897423, 1.1233750526817117, 1.1671032291014183, 1.212417883808918, 1.2588405310209416, 1.3058034355795152, 1.3526494812476169, 1.3986349863291965, 1.4429364675811098, 1.4846627524592817, 1.5228744875506939, 1.556614214890264, 1.584952309671806, 1.6070585562080193, 1.6223202596900375, 1.630563480051313, 1.6326412732453268], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.12071215611995399}

11.84646

1

6.779994

[ [ 0.7369406687156914, 0.7369406696838231, 0.7369407260243228, 0.7369412856997304, 0.736943973491297, 0.7369527408642268, 0.7369752788389617, 0.7370246019132966, 0.7371207190327755, 0.7372923139011133, 0.7375783624092868, 0.7380296200140294, 0.738709916713174, 0.7396972019691406, 0.7410842866069494, 0.7429792334231908, 0.7455053530402976, 0.7488007664738277, 0.7530175009952528, 0.7583200912159882, 0.7648836629405006, 0.7728914832932805, 0.7825319669801863, 0.7939951353737741, 0.8074685325034049, 0.8231326100911451, 0.841155602634622, 0.8616879233601873, 0.8848561228573575, 0.9107564646168556, 0.9394481858620896, 0.970946528421077, 1.0052156435064044, 1.042161496925831, 1.0816249284897423, 1.1233750526817117, 1.1671032291014183, 1.212417883808918, 1.2588405310209416, 1.3058034355795152, 1.3526494812476169, 1.3986349863291965, 1.4429364675811098, 1.4846627524592817, 1.5228744875506939, 1.556614214890264, 1.584952309671806, 1.6070585562080193, 1.6223202596900375, 1.630563480051313, 1.6326412732453268 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.008323483273761756, 0.10012726134994894, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.120712

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

DdUqm7MZEuDcrP3sJu3CW8y

null

false

null

false

Dj7eSA7LEzGE5JRv2Kx2A8C

DJuowydBZLiUzp9pa2yTas7

{"qi": 0.011527503671393982, "vacuum_well": -0.017018306579116117, "aspect_ratio": 8.55001102406632, "max_elongation": 5.386478518811747, "average_triangularity": 0.26462380298408716, "axis_magnetic_mirror_ratio": 0.11406581418114323, "edge_magnetic_mirror_ratio": 0.22646312525399662, "aspect_ratio_over_edge_rotational_transform": 10.485013394056896, "flux_compression_in_regions_of_bad_curvature": 1.4560876123432664, "axis_rotational_transform_over_n_field_periods": 0.2331422709921, "edge_rotational_transform_over_n_field_periods": 0.20386266337324443, "minimum_normalized_magnetic_gradient_scale_length": 4.865675591319298}

8.550011

10.485013

0.203172

0.114066

0.233142

0.226463

0.203863

1.456088

5.386479

4.865676

0.011528

-0.017018

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991997161015814,-0.017045651913546928,-0.021393307938165962,-0.00221592072081818,-0.0006340191638717249],[-0.000986148595519504,-0.0034065539891635307,-0.011389508626301798,-0.05294441017086837,0.17216796278223337,-0.021009825719793335,-0.006400542499956751,-0.0022577247817503767,0.0006045729303582721],[3.2003763107435896e-6,0.001458398624373703,0.0062109872732084665,0.02343672822690686,-0.04154699742466106,-0.005638643012838621,0.006808346307380521,-0.001432158385671968,0.00019612320157173736],[-0.0003855421379255992,-0.0013511997870727316,-0.00043189521339406117,-0.003341535482884952,0.004799632222793345,0.0013724267581141077,0.0018749228714844163,-0.00008268276868347781,-0.00005603704526321442],[0.000230344152281804,0.00006152117997512707,0.0003441717015422932,-0.00003695522333013038,-0.0006003435062804582,-0.0003379821029510441,-0.0005558419067202892,0.00018430632070932657,-0.000037077929890901934]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.20920750844582764,0.026700651806002066,-0.00019048572989640742,0.0005807260515001411],[-0.0013923903264727454,-0.005576583130484633,-0.025975849053579487,-0.07121232660987702,-0.08448005424236632,0.03061643115594873,0.0015337174558889312,0.0019188386991196658,-0.0008408362141666069],[-0.00011199730901826431,-0.0011034632413503853,0.004351698893011797,0.000770779728809917,0.017223157611947225,-0.0033615594800407234,-0.002146753718714765,-0.0007071291789940946,-0.0002589116165270984],[-0.00024233718877907047,-0.0011071976432463454,-0.003929708234748937,0.005061096722521788,0.0006563151258806774,-0.0015938697052252375,-0.0026479653246573023,0.0006174616082015107,0.00012772958768312366],[0.0002117975666875336,0.00046970115671740673,0.001168781747900651,-0.0005838735537346993,0.0004498211995175185,0.0004984532083155914,0.00047131515134731037,-0.00006511696583232443,0.000022480202597489432]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9991997161015814, -0.017045651913546928, -0.021393307938165962, -0.00221592072081818, -0.0006340191638717249 ], [ -0.000986148595519504, -0.0034065539891635307, -0.011389508626301798, -0.05294441017086837, 0.17216796278223337, -0.021009825719793335, -0.006400542499956751, -0.0022577247817503767, 0.0006045729303582721 ], [ 0.0000032003763107435896, 0.001458398624373703, 0.0062109872732084665, 0.02343672822690686, -0.04154699742466106, -0.005638643012838621, 0.006808346307380521, -0.001432158385671968, 0.00019612320157173736 ], [ -0.0003855421379255992, -0.0013511997870727316, -0.00043189521339406117, -0.003341535482884952, 0.004799632222793345, 0.0013724267581141077, 0.0018749228714844163, -0.00008268276868347781, -0.00005603704526321442 ], [ 0.000230344152281804, 0.00006152117997512707, 0.0003441717015422932, -0.00003695522333013038, -0.0006003435062804582, -0.0003379821029510441, -0.0005558419067202892, 0.00018430632070932657, -0.000037077929890901934 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.20920750844582764, 0.026700651806002066, -0.00019048572989640742, 0.0005807260515001411 ], [ -0.0013923903264727454, -0.005576583130484633, -0.025975849053579487, -0.07121232660987702, -0.08448005424236632, 0.03061643115594873, 0.0015337174558889312, 0.0019188386991196658, -0.0008408362141666069 ], [ -0.00011199730901826431, -0.0011034632413503853, 0.004351698893011797, 0.000770779728809917, 0.017223157611947225, -0.0033615594800407234, -0.002146753718714765, -0.0007071291789940946, -0.0002589116165270984 ], [ -0.00024233718877907047, -0.0011071976432463454, -0.003929708234748937, 0.005061096722521788, 0.0006563151258806774, -0.0015938697052252375, -0.0026479653246573023, 0.0006174616082015107, 0.00012772958768312366 ], [ 0.0002117975666875336, 0.00046970115671740673, 0.001168781747900651, -0.0005838735537346993, 0.0004498211995175185, 0.0004984532083155914, 0.00047131515134731037, -0.00006511696583232443, 0.000022480202597489432 ] ]

DXeSeFHFme4ZU5GujqyCbcm

{"aspect_ratio": 7.964172739588738, "major_radius": 1.0, "max_elongation": 4.282721138791096, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.07881474876833608, 0.4130947342165717, 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": [[0.8636542650695886, 0.8636564895453798, 0.8636873984346707, 0.8638110888074947, 0.8641182253077039, 0.8647148476537659, 0.865713041936513, 0.8672232509057337, 0.8693480575788852, 0.8721772998790405, 0.8757843869943268, 0.8802236969206638, 0.8855289413822915, 0.8917123899586259, 0.8987648502428812, 0.9066563054680282, 0.9153371154058437, 0.924739690566912, 0.9347805538643692, 0.9453627079945451, 0.9563782308648436, 0.9677110254876431, 0.97923965487868, 0.9908401966666055, 1.0023890563529247, 1.013765682473396, 1.0248551313181984, 1.0355504333843546, 1.0457547183766849, 1.0553830603612904, 1.0643640096288518, 1.0726407829674933, 1.0801720894042208, 1.0869325740826938, 1.0929128688426983, 1.0981192443013346, 1.102572864867342, 1.1063086552236694, 1.1093737944863227, 1.1118258626169353, 1.1137306729029244, 1.1151598346572076, 1.1161881020616302, 1.1168905787721723, 1.1173398642652264, 1.1176032481321727, 1.1177400846801102, 1.1177995160974654, 1.1178187660696308, 1.1178223167196675, 1.117822475138348], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.9243299024337239}

7.964173

1

4.282721

[ [ 0.8636542650695886, 0.8636564895453798, 0.8636873984346707, 0.8638110888074947, 0.8641182253077039, 0.8647148476537659, 0.865713041936513, 0.8672232509057337, 0.8693480575788852, 0.8721772998790405, 0.8757843869943268, 0.8802236969206638, 0.8855289413822915, 0.8917123899586259, 0.8987648502428812, 0.9066563054680282, 0.9153371154058437, 0.924739690566912, 0.9347805538643692, 0.9453627079945451, 0.9563782308648436, 0.9677110254876431, 0.97923965487868, 0.9908401966666055, 1.0023890563529247, 1.013765682473396, 1.0248551313181984, 1.0355504333843546, 1.0457547183766849, 1.0553830603612904, 1.0643640096288518, 1.0726407829674933, 1.0801720894042208, 1.0869325740826938, 1.0929128688426983, 1.0981192443013346, 1.102572864867342, 1.1063086552236694, 1.1093737944863227, 1.1118258626169353, 1.1137306729029244, 1.1151598346572076, 1.1161881020616302, 1.1168905787721723, 1.1173398642652264, 1.1176032481321727, 1.1177400846801102, 1.1177995160974654, 1.1178187660696308, 1.1178223167196675, 1.117822475138348 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.07881474876833608, 0.4130947342165717, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.92433

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

D8BLL2Zm7KEtDGS9SUTH9M7

null

false

null

false

D4VQTq4NwioRtE85bFEXupv

DFuHK8qP36buFBBdRmPkdjH

{"qi": 0.004602130902016643, "vacuum_well": -0.14559083784832433, "aspect_ratio": 9.643519074346615, "max_elongation": 6.544452234515664, "average_triangularity": -0.23726580184275908, "axis_magnetic_mirror_ratio": 0.2890380772488096, "edge_magnetic_mirror_ratio": 0.3112717071138102, "aspect_ratio_over_edge_rotational_transform": 16.037496187167456, "flux_compression_in_regions_of_bad_curvature": 1.5432309788514558, "axis_rotational_transform_over_n_field_periods": 0.1158547717777535, "edge_rotational_transform_over_n_field_periods": 0.1202621526677333, "minimum_normalized_magnetic_gradient_scale_length": 8.757055144291945}

9.643519

16.037496

-0.623833

0.289038

0.115855

0.311272

0.120262

1.543231

6.544452

8.757055

0.004602

-0.145591

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.006048659150384658,-0.012081087421229453,-0.00015116015312959845,0.00013474882713264934],[0.00039276293673164565,-0.0010272708977424087,-0.00780874785862759,-0.05790159939983198,0.08038474944456896,0.030371455699524354,-0.005816445348612327,-0.0011900830741200946,-0.00019552338358999675],[-0.000693044878310099,-0.0014564650392233473,0.0030507825865212393,0.021220999266672258,-0.03189625933922047,0.003384427630221268,0.002408249600836181,0.0005932455848513042,-0.00017905396402826692],[0.00022936236443176964,0.0018105404608010993,0.0035498497662020366,-0.00492001584049084,0.00898303976038304,-0.005470018436167982,-0.0006994628140775643,0.000119197753307691,0.00009585480162388032],[0.00023063448414483478,0.00043007624823994156,-0.0008028115205404,0.0032797223890908733,-0.0031392946131494903,0.001581612498886407,-0.0001225151042238714,-0.00015988518405748151,-5.962454377675007e-7]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.02422195206560167,0.0019867881758716386,0.000017787080676354497,-0.0001490594680278387],[0.0006766554210201481,-0.0007704021131760152,-0.0024166167612586333,-0.0370875882905818,-0.18334998778122794,0.021403642990949247,0.0021718274937019286,0.0009584153423642798,0.000200587559089875],[-0.0004369175051612302,-0.0003106605734802192,-0.0056542848093277896,0.024947451031377445,-0.0038370817582840523,-0.013574796034244545,0.0011254140673919257,-0.0004990593595834059,0.00013128880899423347],[0.0002039838485630289,0.0011186927703034418,0.003170377014182198,-0.006568984309509491,0.006823834496966044,0.0008425129558554787,-0.00035623663162461633,-0.000014505164718604693,-0.00006503691476355334],[-0.0001949473559263566,-0.000465551537735645,-0.0011963684033836316,0.0006758926910459689,0.00018649305636432313,-0.00007358985136774496,0.0003409850310964397,-0.000046559664477884146,9.365749754055216e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.006048659150384658, -0.012081087421229453, -0.00015116015312959845, 0.00013474882713264934 ], [ 0.00039276293673164565, -0.0010272708977424087, -0.00780874785862759, -0.05790159939983198, 0.08038474944456896, 0.030371455699524354, -0.005816445348612327, -0.0011900830741200946, -0.00019552338358999675 ], [ -0.000693044878310099, -0.0014564650392233473, 0.0030507825865212393, 0.021220999266672258, -0.03189625933922047, 0.003384427630221268, 0.002408249600836181, 0.0005932455848513042, -0.00017905396402826692 ], [ 0.00022936236443176964, 0.0018105404608010993, 0.0035498497662020366, -0.00492001584049084, 0.00898303976038304, -0.005470018436167982, -0.0006994628140775643, 0.000119197753307691, 0.00009585480162388032 ], [ 0.00023063448414483478, 0.00043007624823994156, -0.0008028115205404, 0.0032797223890908733, -0.0031392946131494903, 0.001581612498886407, -0.0001225151042238714, -0.00015988518405748151, -5.962454377675007e-7 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.02422195206560167, 0.0019867881758716386, 0.000017787080676354497, -0.0001490594680278387 ], [ 0.0006766554210201481, -0.0007704021131760152, -0.0024166167612586333, -0.0370875882905818, -0.18334998778122794, 0.021403642990949247, 0.0021718274937019286, 0.0009584153423642798, 0.000200587559089875 ], [ -0.0004369175051612302, -0.0003106605734802192, -0.0056542848093277896, 0.024947451031377445, -0.0038370817582840523, -0.013574796034244545, 0.0011254140673919257, -0.0004990593595834059, 0.00013128880899423347 ], [ 0.0002039838485630289, 0.0011186927703034418, 0.003170377014182198, -0.006568984309509491, 0.006823834496966044, 0.0008425129558554787, -0.00035623663162461633, -0.000014505164718604693, -0.00006503691476355334 ], [ -0.0001949473559263566, -0.000465551537735645, -0.0011963684033836316, 0.0006758926910459689, 0.00018649305636432313, -0.00007358985136774496, 0.0003409850310964397, -0.000046559664477884146, 0.000009365749754055216 ] ]

DCvfWEGDU2TgwxFHAdzwp3T

{"aspect_ratio": 9.083622257589216, "major_radius": 1.0, "max_elongation": 5.571208522937321, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2848285829958789, -0.008143656744802547, 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": [[0.8054646135822143, 0.8054647109503371, 0.8054668287815634, 0.8054782527708442, 0.805513779165826, 0.8055967579411515, 0.8057595475989545, 0.8060435585434511, 0.8064989793565467, 0.8071842466575799, 0.8081653019425948, 0.8095146687142135, 0.8113103768321808, 0.8136347567474294, 0.8165731233194502, 0.8202123668099222, 0.8246394671314401, 0.8299399463464757, 0.8361962736552632, 0.8434862366154474, 0.8518812920581706, 0.8614449100782455, 0.8722309245656833, 0.8842819040071932, 0.8976275567228167, 0.9122831853261462, 0.9282482060267016, 0.9455047494599566, 0.9640163610761219, 0.9837268208004495, 1.0045591037730817, 1.0264145065905992, 1.0491719667480217, 1.0726876071172078, 1.0967945425724963, 1.1213029926810627, 1.1460007532848204, 1.1706540916586405, 1.1950091460203338, 1.2187939324968315, 1.2417210944533768, 1.263491575784891, 1.283799470824555, 1.3023384163904452, 1.318810080359595, 1.3329356383883968, 1.3444717848010503, 1.3532342434685076, 1.3591353590302395, 1.3622542634737809, 1.363029726497695], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6003947779808829}

9.083622

1

5.571209

[ [ 0.8054646135822143, 0.8054647109503371, 0.8054668287815634, 0.8054782527708442, 0.805513779165826, 0.8055967579411515, 0.8057595475989545, 0.8060435585434511, 0.8064989793565467, 0.8071842466575799, 0.8081653019425948, 0.8095146687142135, 0.8113103768321808, 0.8136347567474294, 0.8165731233194502, 0.8202123668099222, 0.8246394671314401, 0.8299399463464757, 0.8361962736552632, 0.8434862366154474, 0.8518812920581706, 0.8614449100782455, 0.8722309245656833, 0.8842819040071932, 0.8976275567228167, 0.9122831853261462, 0.9282482060267016, 0.9455047494599566, 0.9640163610761219, 0.9837268208004495, 1.0045591037730817, 1.0264145065905992, 1.0491719667480217, 1.0726876071172078, 1.0967945425724963, 1.1213029926810627, 1.1460007532848204, 1.1706540916586405, 1.1950091460203338, 1.2187939324968315, 1.2417210944533768, 1.263491575784891, 1.283799470824555, 1.3023384163904452, 1.318810080359595, 1.3329356383883968, 1.3444717848010503, 1.3532342434685076, 1.3591353590302395, 1.3622542634737809, 1.363029726497695 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2848285829958789, -0.008143656744802547, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.600395

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

DiqWjjzVqDNKbNrydVtbeCm

null

false

null

false

DJ5gVp28Lj8MFQZETecYDHi

DRQJFwwU8NiseF395EeyEkM

{"qi": 0.016042249675579507, "vacuum_well": -0.1340997283707571, "aspect_ratio": 10.25862149720533, "max_elongation": 4.747645991997147, "average_triangularity": -0.4976145571777108, "axis_magnetic_mirror_ratio": 0.133777204860902, "edge_magnetic_mirror_ratio": 0.1988688248780193, "aspect_ratio_over_edge_rotational_transform": 11.609114072070135, "flux_compression_in_regions_of_bad_curvature": 1.1328072591323124, "axis_rotational_transform_over_n_field_periods": 0.2286946400686694, "edge_rotational_transform_over_n_field_periods": 0.220917406649619, "minimum_normalized_magnetic_gradient_scale_length": 6.796017886292336}

10.258621

11.609114

-0.793674

0.133777

0.228695

0.198869

0.220917

1.132807

4.747646

6.796018

0.016042

-0.1341

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.016168254766420108,-0.004127890673595083,0.0015569344455055327,0.0007810423827852159],[-0.0004697424579882745,0.0010821969638033098,0.0169785120943126,-0.04482466932129587,0.09007676267938951,0.0038564559574323365,-0.0001353702474470534,0.0006036302455247362,0.00006421985811247947],[-0.00037005891509645243,-0.0055907312137982714,-0.0253228230981676,0.005443334763279275,0.0016051298680475005,-0.0038725977528134134,-0.003165706819279971,-0.0003001571318518312,0.00008827966041726379],[-0.0003161893765632038,0.004008905830340822,0.008821336643574415,0.000040432255012155024,0.0014715945257843632,-0.004090762249895508,-0.000751542386564775,0.00010833164763383906,0.000054217894718252516],[-0.0001720371922952045,-0.00009610021155539471,-0.0006503840691107735,-0.0016258303140541557,0.00020202247789780471,-0.0009554929639745168,-0.00013773219652720098,0.0001536850629657981,1.3873287792362093e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03257999707430007,-0.00003986590362670301,0.00017333002220365533,-0.0007989942057182678],[-0.0003058371391051902,0.0004301275659160041,0.02320280709723041,-0.04643621441731268,-0.14807470156646044,0.01033011458577665,0.002046985935366886,-0.00041636721712237174,4.210450532892828e-6],[0.00010756413791351684,-0.004160988702987797,-0.021718345802932013,-0.0004911268985360135,-0.018051646200769787,0.007774369017322451,0.0035234397112998816,-0.0001959427388005027,-0.000047907186744229036],[0.000377335207525636,0.004112311521458679,0.00156216620187191,0.006001143672306707,-0.0017276356249518148,0.00201591113927272,0.0008814349573732288,-0.00018879105582759277,4.345313166238357e-6],[-0.00012949596428834696,-0.0007512723867091889,-0.0008267924934025849,0.000255359514062942,-9.300745904823863e-6,0.0006863604467100897,0.00023689867716398627,-0.00009006714124551804,2.400189888198106e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.016168254766420108, -0.004127890673595083, 0.0015569344455055327, 0.0007810423827852159 ], [ -0.0004697424579882745, 0.0010821969638033098, 0.0169785120943126, -0.04482466932129587, 0.09007676267938951, 0.0038564559574323365, -0.0001353702474470534, 0.0006036302455247362, 0.00006421985811247947 ], [ -0.00037005891509645243, -0.0055907312137982714, -0.0253228230981676, 0.005443334763279275, 0.0016051298680475005, -0.0038725977528134134, -0.003165706819279971, -0.0003001571318518312, 0.00008827966041726379 ], [ -0.0003161893765632038, 0.004008905830340822, 0.008821336643574415, 0.000040432255012155024, 0.0014715945257843632, -0.004090762249895508, -0.000751542386564775, 0.00010833164763383906, 0.000054217894718252516 ], [ -0.0001720371922952045, -0.00009610021155539471, -0.0006503840691107735, -0.0016258303140541557, 0.00020202247789780471, -0.0009554929639745168, -0.00013773219652720098, 0.0001536850629657981, 0.0000013873287792362093 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03257999707430007, -0.00003986590362670301, 0.00017333002220365533, -0.0007989942057182678 ], [ -0.0003058371391051902, 0.0004301275659160041, 0.02320280709723041, -0.04643621441731268, -0.14807470156646044, 0.01033011458577665, 0.002046985935366886, -0.00041636721712237174, 0.000004210450532892828 ], [ 0.00010756413791351684, -0.004160988702987797, -0.021718345802932013, -0.0004911268985360135, -0.018051646200769787, 0.007774369017322451, 0.0035234397112998816, -0.0001959427388005027, -0.000047907186744229036 ], [ 0.000377335207525636, 0.004112311521458679, 0.00156216620187191, 0.006001143672306707, -0.0017276356249518148, 0.00201591113927272, 0.0008814349573732288, -0.00018879105582759277, 0.000004345313166238357 ], [ -0.00012949596428834696, -0.0007512723867091889, -0.0008267924934025849, 0.000255359514062942, -0.000009300745904823863, 0.0006863604467100897, 0.00023689867716398627, -0.00009006714124551804, 0.000002400189888198106 ] ]

DN48d9zjN4Bd9tP88gKVumC

{"aspect_ratio": 11.838235725472316, "major_radius": 1.0, "max_elongation": 4.406748355967107, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1641601040052731, -0.23394674112446945, 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": [[0.8799232303190312, 0.8799232326894952, 0.8799233659258909, 0.8799246421739932, 0.8799305433048349, 0.8799490561488008, 0.8799947821899647, 0.8800908408452871, 0.8802703601091431, 0.8805774111202604, 0.881067297237427, 0.8818061550078369, 0.8828698648641589, 0.8843423040785419, 0.8863130038554692, 0.8888742967855159, 0.892118060472794, 0.896132178214505, 0.9009968483492216, 0.9067808804807694, 0.913538119394304, 0.9213041362700147, 0.9300933219231701, 0.9398965084106954, 0.9506792335988034, 0.9623807483411501, 0.9749138479357544, 0.9881655886824222, 1.0019989268319311, 1.016255291198402, 1.0307580724086247, 1.0453169814194918, 1.0597331978067444, 1.0738051947085063, 1.0873350925323333, 1.1001353579971782, 1.1120356292470657, 1.122889412203472, 1.132580358711762, 1.1410278042589987, 1.1481912132307386, 1.1540731543486524, 1.1587204101842783, 1.1622228154927303, 1.1647094241071045, 1.16634163056419, 1.1673029330191884, 1.1677851419803065, 1.167971065535482, 1.16801416669152, 1.1680168667920432], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.8402689628260205}

11.838236

1

4.406748

[ [ 0.8799232303190312, 0.8799232326894952, 0.8799233659258909, 0.8799246421739932, 0.8799305433048349, 0.8799490561488008, 0.8799947821899647, 0.8800908408452871, 0.8802703601091431, 0.8805774111202604, 0.881067297237427, 0.8818061550078369, 0.8828698648641589, 0.8843423040785419, 0.8863130038554692, 0.8888742967855159, 0.892118060472794, 0.896132178214505, 0.9009968483492216, 0.9067808804807694, 0.913538119394304, 0.9213041362700147, 0.9300933219231701, 0.9398965084106954, 0.9506792335988034, 0.9623807483411501, 0.9749138479357544, 0.9881655886824222, 1.0019989268319311, 1.016255291198402, 1.0307580724086247, 1.0453169814194918, 1.0597331978067444, 1.0738051947085063, 1.0873350925323333, 1.1001353579971782, 1.1120356292470657, 1.122889412203472, 1.132580358711762, 1.1410278042589987, 1.1481912132307386, 1.1540731543486524, 1.1587204101842783, 1.1622228154927303, 1.1647094241071045, 1.16634163056419, 1.1673029330191884, 1.1677851419803065, 1.167971065535482, 1.16801416669152, 1.1680168667920432 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1641601040052731, -0.23394674112446945, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.840269

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

D4wDwYuYCKktZEGW3MG24BP

null

false

null

false

Db5wQgsTHadxXRts3ZUmD9w

DZh9M5JTStkfnu6LYveqGCU

{"qi": 0.006114163054064284, "vacuum_well": -0.1515805584597792, "aspect_ratio": 9.56163445982624, "max_elongation": 6.844854795792251, "average_triangularity": -0.5958277734821924, "axis_magnetic_mirror_ratio": 0.37364247999749944, "edge_magnetic_mirror_ratio": 0.41295705083206413, "aspect_ratio_over_edge_rotational_transform": 14.170553016805393, "flux_compression_in_regions_of_bad_curvature": 1.3649938748022288, "axis_rotational_transform_over_n_field_periods": 0.14011550797012878, "edge_rotational_transform_over_n_field_periods": 0.16868844935844668, "minimum_normalized_magnetic_gradient_scale_length": 7.751429422021628}

9.561634

14.170553

-0.975844

0.373642

0.140116

0.412957

0.168688

1.364994

6.844855

7.751429

0.006114

-0.151581

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.06127707097085659,0.0029104616769175798,-0.000013338239108241778,-0.00027299470364651555],[0.0009453502078233801,0.0018227222792050368,0.008270169436454845,-0.07173844170382955,0.08528381778242909,0.012643730250533267,-0.0016198992374550766,-0.0016947123149231207,-0.0006911691822830574],[0.00013520059028594505,0.0014480539072343414,-0.009991663868120443,-0.0020733978433915877,-0.0138969343699057,-0.006252363266509848,-0.0011388423146785082,-0.0007725411070004609,-0.00015404971683346717],[0.00009266099881499467,0.00009048670170706825,0.0012930526118449014,-0.00024333513304031077,0.003871693022813706,-0.00048454491222285016,-0.000238510375198004,-6.74264412839881e-6,0.0000701374692864757],[-0.0002829491647783814,0.00042706643542554017,-0.0002555057315137837,-0.00031941244727233704,-0.00021160318261854457,0.000481476202304338,-0.00017020801232170988,-0.000045157909918282473,-0.000032059424465104964]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.021959173719119193,-0.0017750149022926712,0.0008968509973821337,0.00040331010424239644],[0.0002709789739988181,0.0010905800611315493,0.016223358867276813,-0.03608325501987214,-0.1655530670482596,-0.009764218089947898,0.004400362556888118,0.0009095188324019439,0.0005240646214362907],[-0.000014354775964467511,0.000786994886399384,-0.009409817987331603,0.02845663859094107,-0.014432298526976958,-0.004930419812307619,0.0004555238673874468,0.0006632660998327357,0.00008025927135549968],[0.00025687112574093024,-0.0007421488789082179,-0.0022639474120881822,0.009973245438878975,-0.0006584565788541961,0.00103208055886698,-0.0001663342050101783,0.00015713273856883623,-0.00001051871681366677],[0.00009099912214803022,-0.0004031772286791349,0.0004340282484108841,-0.00046869473059220985,-0.0008240654671534007,0.00028194133548411755,-0.00017158096697489253,-0.00003741487863211462,5.207251760087081e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.06127707097085659, 0.0029104616769175798, -0.000013338239108241778, -0.00027299470364651555 ], [ 0.0009453502078233801, 0.0018227222792050368, 0.008270169436454845, -0.07173844170382955, 0.08528381778242909, 0.012643730250533267, -0.0016198992374550766, -0.0016947123149231207, -0.0006911691822830574 ], [ 0.00013520059028594505, 0.0014480539072343414, -0.009991663868120443, -0.0020733978433915877, -0.0138969343699057, -0.006252363266509848, -0.0011388423146785082, -0.0007725411070004609, -0.00015404971683346717 ], [ 0.00009266099881499467, 0.00009048670170706825, 0.0012930526118449014, -0.00024333513304031077, 0.003871693022813706, -0.00048454491222285016, -0.000238510375198004, -0.00000674264412839881, 0.0000701374692864757 ], [ -0.0002829491647783814, 0.00042706643542554017, -0.0002555057315137837, -0.00031941244727233704, -0.00021160318261854457, 0.000481476202304338, -0.00017020801232170988, -0.000045157909918282473, -0.000032059424465104964 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.021959173719119193, -0.0017750149022926712, 0.0008968509973821337, 0.00040331010424239644 ], [ 0.0002709789739988181, 0.0010905800611315493, 0.016223358867276813, -0.03608325501987214, -0.1655530670482596, -0.009764218089947898, 0.004400362556888118, 0.0009095188324019439, 0.0005240646214362907 ], [ -0.000014354775964467511, 0.000786994886399384, -0.009409817987331603, 0.02845663859094107, -0.014432298526976958, -0.004930419812307619, 0.0004555238673874468, 0.0006632660998327357, 0.00008025927135549968 ], [ 0.00025687112574093024, -0.0007421488789082179, -0.0022639474120881822, 0.009973245438878975, -0.0006584565788541961, 0.00103208055886698, -0.0001663342050101783, 0.00015713273856883623, -0.00001051871681366677 ], [ 0.00009099912214803022, -0.0004031772286791349, 0.0004340282484108841, -0.00046869473059220985, -0.0008240654671534007, 0.00028194133548411755, -0.00017158096697489253, -0.00003741487863211462, 0.000005207251760087081 ] ]

DcW6SXbKUYMitYaqtA4xW36

{"aspect_ratio": 10.768226322202121, "major_radius": 1.0, "max_elongation": 6.589496957353919, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.13763910972628085, -0.3222108442988832, 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": [[0.696287717068987, 0.6962877365838901, 0.6962884988792729, 0.6962943674551352, 0.6963176994530789, 0.6963831393841532, 0.6965312980491009, 0.6968215642095038, 0.6973339209834448, 0.6981697127946813, 0.6994513588057528, 0.7013210453199348, 0.7039384575060804, 0.7074776326266389, 0.7121230343031475, 0.7180649612306667, 0.7254944148142076, 0.7345975589005674, 0.7455499114374337, 0.7585104127349803, 0.7736155181939979, 0.7909734650097565, 0.8106588625340986, 0.8327077547190656, 0.8571133003845999, 0.8838222129348157, 0.9127320955499032, 0.9436898007339994, 0.9764909343025182, 1.0108806133089232, 1.046555574861074, 1.083167718027803, 1.120329143785864, 1.1576187378150602, 1.194590317405553, 1.2307823361239842, 1.2657291072957748, 1.2989734685785952, 1.3300807632331813, 1.3586539567389844, 1.3843496366487682, 1.4068945537534554, 1.4261022454980505, 1.4418891247072194, 1.4542891949143795, 1.4634662254758326, 1.4697217005766565, 1.4734959584843401, 1.4753581775568638, 1.4759766779201082, 1.4760463803861121], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.6806386575822918}

10.768226

1

6.589497

[ [ 0.696287717068987, 0.6962877365838901, 0.6962884988792729, 0.6962943674551352, 0.6963176994530789, 0.6963831393841532, 0.6965312980491009, 0.6968215642095038, 0.6973339209834448, 0.6981697127946813, 0.6994513588057528, 0.7013210453199348, 0.7039384575060804, 0.7074776326266389, 0.7121230343031475, 0.7180649612306667, 0.7254944148142076, 0.7345975589005674, 0.7455499114374337, 0.7585104127349803, 0.7736155181939979, 0.7909734650097565, 0.8106588625340986, 0.8327077547190656, 0.8571133003845999, 0.8838222129348157, 0.9127320955499032, 0.9436898007339994, 0.9764909343025182, 1.0108806133089232, 1.046555574861074, 1.083167718027803, 1.120329143785864, 1.1576187378150602, 1.194590317405553, 1.2307823361239842, 1.2657291072957748, 1.2989734685785952, 1.3300807632331813, 1.3586539567389844, 1.3843496366487682, 1.4068945537534554, 1.4261022454980505, 1.4418891247072194, 1.4542891949143795, 1.4634662254758326, 1.4697217005766565, 1.4734959584843401, 1.4753581775568638, 1.4759766779201082, 1.4760463803861121 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.13763910972628085, -0.3222108442988832, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.680639

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

DFcXWYf62WdEP2wkVzoXdjs

null

false

null

false

Djp2xSNMFmJdu5NBemvchs3

DTAzBV9nmdAYcTrNmZhNHsB

{"qi": 0.047959371925614704, "vacuum_well": 0.007618189909919686, "aspect_ratio": 8.11688995941207, "max_elongation": 4.947859098568031, "average_triangularity": -0.5245031148291646, "axis_magnetic_mirror_ratio": 0.5341243936362852, "edge_magnetic_mirror_ratio": 0.8772395827002292, "aspect_ratio_over_edge_rotational_transform": 9.585125573319619, "flux_compression_in_regions_of_bad_curvature": 1.2002351011210914, "axis_rotational_transform_over_n_field_periods": 0.2779205584875653, "edge_rotational_transform_over_n_field_periods": 0.2117053630994045, "minimum_normalized_magnetic_gradient_scale_length": 3.005058775221758}

8.11689

9.585126

-0.614946

0.534124

0.277921

0.87724

0.211705

1.200235

4.947859

3.005059

0.047959

0.007618

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.21843786642558416,-0.03329065662480549,-0.012697527154592617,0.00008834791463582835],[-0.002508003046739075,0.01136339287126777,0.04229863407380974,-0.011391862435417302,0.11726916341868686,-0.0034096934953974393,-0.0010408317927047446,0.0007979826859739018,0.00021673224303046974],[0.0018654005388302583,-0.005621402105491832,-0.02080358655202612,0.014711341488452592,-0.005189944309653212,0.00428975948631923,-0.0020030507818363,-0.0018072178185034073,-0.00005652492906188056],[-0.0005931034818258841,0.0023290681649316717,0.0032210970243576375,-0.002724238834958103,0.002079103845246715,-0.0010862433686105275,0.00038470715891028833,-0.0006323101191356524,-0.0002865002800085591],[-0.00009570802143653211,-0.000615708262125991,0.00016588827585915393,0.0010346565754920862,-0.0017363209366128016,0.0005793468378584388,-0.00003303933346492312,-0.0003151370984062771,-0.00008261768188728478]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.05987789030604351,0.033643448143508656,0.009606996178625274,0.0009363940087388639],[0.0006527622011778442,0.006740648473923022,0.04284632835174346,0.04599474513327456,-0.14030157995116926,-0.0174897185381666,-0.0052621276221477414,0.002165772267283075,-0.000771687863786646],[0.001179816472558537,-0.005950862666504846,-0.009349111783694807,0.018531253102234996,-0.019878264191758824,-0.014887535927521324,0.005229255008754724,0.0019081100350433768,0.0004219906886432951],[-0.0014028980716455466,0.002817699935909589,-0.0008865097344312844,-0.003744087079389979,-0.0036502952339232723,-0.0013433823904765092,-0.0010300973278445965,0.0011398974009904166,0.00010110841535451265],[0.00009271065867403781,0.0003515900447874634,-0.0005378716682840698,-0.00019687472078311498,-0.0006385403264811142,-0.0002499099088235696,-0.0001769547286068063,0.00022009789526280545,0.00011657370088056845]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.21843786642558416, -0.03329065662480549, -0.012697527154592617, 0.00008834791463582835 ], [ -0.002508003046739075, 0.01136339287126777, 0.04229863407380974, -0.011391862435417302, 0.11726916341868686, -0.0034096934953974393, -0.0010408317927047446, 0.0007979826859739018, 0.00021673224303046974 ], [ 0.0018654005388302583, -0.005621402105491832, -0.02080358655202612, 0.014711341488452592, -0.005189944309653212, 0.00428975948631923, -0.0020030507818363, -0.0018072178185034073, -0.00005652492906188056 ], [ -0.0005931034818258841, 0.0023290681649316717, 0.0032210970243576375, -0.002724238834958103, 0.002079103845246715, -0.0010862433686105275, 0.00038470715891028833, -0.0006323101191356524, -0.0002865002800085591 ], [ -0.00009570802143653211, -0.000615708262125991, 0.00016588827585915393, 0.0010346565754920862, -0.0017363209366128016, 0.0005793468378584388, -0.00003303933346492312, -0.0003151370984062771, -0.00008261768188728478 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.05987789030604351, 0.033643448143508656, 0.009606996178625274, 0.0009363940087388639 ], [ 0.0006527622011778442, 0.006740648473923022, 0.04284632835174346, 0.04599474513327456, -0.14030157995116926, -0.0174897185381666, -0.0052621276221477414, 0.002165772267283075, -0.000771687863786646 ], [ 0.001179816472558537, -0.005950862666504846, -0.009349111783694807, 0.018531253102234996, -0.019878264191758824, -0.014887535927521324, 0.005229255008754724, 0.0019081100350433768, 0.0004219906886432951 ], [ -0.0014028980716455466, 0.002817699935909589, -0.0008865097344312844, -0.003744087079389979, -0.0036502952339232723, -0.0013433823904765092, -0.0010300973278445965, 0.0011398974009904166, 0.00010110841535451265 ], [ 0.00009271065867403781, 0.0003515900447874634, -0.0005378716682840698, -0.00019687472078311498, -0.0006385403264811142, -0.0002499099088235696, -0.0001769547286068063, 0.00022009789526280545, 0.00011657370088056845 ] ]

DiyzrxP3fanYuwyt4DTVDNk

{"aspect_ratio": 7.401558721311524, "major_radius": 1.0, "max_elongation": 4.551119593585022, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.1976626256976649, 0.14475092664980374, 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": [[0.8266871180070239, 0.8266953588599038, 0.8267876775944154, 0.8271099065363944, 0.8278356163927907, 0.8291419047331943, 0.8311940799924514, 0.8341355837445047, 0.8380815496431131, 0.8431150664173442, 0.8492855182961204, 0.856608543687907, 0.8650672561036169, 0.8746144405640639, 0.8851754883755777, 0.8966518706335245, 0.9089249803117817, 0.9218601968223195, 0.9353110470591369, 0.9491233542087177, 0.9631392807176571, 0.9772011852495937, 0.9911552255925464, 1.004854650555423, 1.018162734115414, 1.030955314597076, 1.043122910596818, 1.054572393806668, 1.0652282069138943, 1.0750331224198406, 1.0839485455833584, 1.091954371794651, 1.099048415561194, 1.1052454349710754, 1.1105757820195468, 1.1150837155683564, 1.118825419979651, 1.1218667786514547, 1.1242809578051276, 1.1261458619636266, 1.1275415286431902, 1.1285475358962866, 1.1292405025357266, 1.1296917671991944, 1.129965338965529, 1.130116219137401, 1.130189201266885, 1.1302182648847627, 1.130226688413249, 1.1302280200229418, 1.1302280665879563], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 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": 0.9907565262354825}

7.401559

1

4.55112

[ [ 0.8266871180070239, 0.8266953588599038, 0.8267876775944154, 0.8271099065363944, 0.8278356163927907, 0.8291419047331943, 0.8311940799924514, 0.8341355837445047, 0.8380815496431131, 0.8431150664173442, 0.8492855182961204, 0.856608543687907, 0.8650672561036169, 0.8746144405640639, 0.8851754883755777, 0.8966518706335245, 0.9089249803117817, 0.9218601968223195, 0.9353110470591369, 0.9491233542087177, 0.9631392807176571, 0.9772011852495937, 0.9911552255925464, 1.004854650555423, 1.018162734115414, 1.030955314597076, 1.043122910596818, 1.054572393806668, 1.0652282069138943, 1.0750331224198406, 1.0839485455833584, 1.091954371794651, 1.099048415561194, 1.1052454349710754, 1.1105757820195468, 1.1150837155683564, 1.118825419979651, 1.1218667786514547, 1.1242809578051276, 1.1261458619636266, 1.1275415286431902, 1.1285475358962866, 1.1292405025357266, 1.1296917671991944, 1.129965338965529, 1.130116219137401, 1.130189201266885, 1.1302182648847627, 1.130226688413249, 1.1302280200229418, 1.1302280665879563 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.1976626256976649, 0.14475092664980374, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.990757

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

D82ScGaHzkWVMz4BB8TFge7

null

false

null

false

DZi9LrcJi9Ds8PcnQVaYNsR