proxima-fusion/constellaration · Datasets at Hugging Face

DRc9A9kNLRaLo4PmBWtXtq5

{"qi": 0.0030031608378602334, "vacuum_well": 0.03628194864605328, "aspect_ratio": 9.199788735317282, "max_elongation": 6.539313964730907, "average_triangularity": -0.20904103732644008, "axis_magnetic_mirror_ratio": 0.32874110823770575, "edge_magnetic_mirror_ratio": 0.36599504619192574, "aspect_ratio_over_edge_rotational_transform": 101.59124845218152, "flux_compression_in_regions_of_bad_curvature": 0.6285920389527678, "axis_rotational_transform_over_n_field_periods": 0.1704022372258011, "edge_rotational_transform_over_n_field_periods": 0.09055690205094365, "minimum_normalized_magnetic_gradient_scale_length": 3.7510170313138804}

9.199789

101.591248

-0.138448

0.328741

0.170402

0.365995

0.090557

0.628592

6.539314

3.751017

0.003003

0.036282

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0066967476728623755,-0.2060269108757525,-0.005450539226491879,0.017480063878231547],[0.007027247334320061,0.02096414677507757,0.034156276221601514,-0.025645942263402763,0.08600668704288952,0.0004293920037321923,0.009909675009836427,-0.015797911362941747,0.0037805071464135946],[0.0012025565612121384,-0.00023812300457040636,-0.010239374019251945,-0.00020913684416615707,-0.00005676120500848914,0.005783030184567908,-0.014043809608665013,0.006917098082811948,-0.001634259275599678],[0.00005610022647384113,0.0010296166790133086,0.0009736461699962038,0.004702499157616725,-0.0007712370777883542,-0.004957056345864929,0.0040047657898625464,-0.0011414188562992769,0.00033880704251869245],[0.00004696967158390904,-0.00022187008213094374,-0.00006455891766670977,-0.0005884014764012478,-0.0001442653633709342,0.0007071229703099746,-0.00002235337444608322,-0.00010973440434594529,0.00001354020614396977]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.036459876252116066,0.03155521430688473,0.005519642684043365,-0.001491665826950924],[0.005731591166800786,0.023202063488906854,0.043622361068043625,0.010500529943325312,-0.16832593124534528,-0.010950744056990525,0.0401013306569909,-0.010402398350863526,0.0022304987183430734],[-0.0020985187977860483,-0.0003499848396907876,0.003633467507903401,-0.01922922766667227,0.009509373178839695,0.011878994613002722,-0.010653720669231441,0.00588379437371799,-0.001350068398887286],[-0.00023620458608408602,-0.00012215470305153834,0.004130762561789261,-0.0005346420150942217,-0.0006437961169015679,0.002035064610149075,-0.000058638901442292085,-0.0008861088836715244,0.00010248544278617655],[0.00004064951297513223,0.00019201813271210635,-0.00026967102577530396,-0.00037198179043870566,0.0005381444999040946,-0.0014049441585505195,0.0008134213788597987,-0.00037223854289016576,0.00014288132370860861]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.0066967476728623755, -0.2060269108757525, -0.005450539226491879, 0.017480063878231547 ], [ 0.007027247334320061, 0.02096414677507757, 0.034156276221601514, -0.025645942263402763, 0.08600668704288952, 0.0004293920037321923, 0.009909675009836427, -0.015797911362941747, 0.0037805071464135946 ], [ 0.0012025565612121384, -0.00023812300457040636, -0.010239374019251945, -0.00020913684416615707, -0.00005676120500848914, 0.005783030184567908, -0.014043809608665013, 0.006917098082811948, -0.001634259275599678 ], [ 0.00005610022647384113, 0.0010296166790133086, 0.0009736461699962038, 0.004702499157616725, -0.0007712370777883542, -0.004957056345864929, 0.0040047657898625464, -0.0011414188562992769, 0.00033880704251869245 ], [ 0.00004696967158390904, -0.00022187008213094374, -0.00006455891766670977, -0.0005884014764012478, -0.0001442653633709342, 0.0007071229703099746, -0.00002235337444608322, -0.00010973440434594529, 0.00001354020614396977 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.036459876252116066, 0.03155521430688473, 0.005519642684043365, -0.001491665826950924 ], [ 0.005731591166800786, 0.023202063488906854, 0.043622361068043625, 0.010500529943325312, -0.16832593124534528, -0.010950744056990525, 0.0401013306569909, -0.010402398350863526, 0.0022304987183430734 ], [ -0.0020985187977860483, -0.0003499848396907876, 0.003633467507903401, -0.01922922766667227, 0.009509373178839695, 0.011878994613002722, -0.010653720669231441, 0.00588379437371799, -0.001350068398887286 ], [ -0.00023620458608408602, -0.00012215470305153834, 0.004130762561789261, -0.0005346420150942217, -0.0006437961169015679, 0.002035064610149075, -0.000058638901442292085, -0.0008861088836715244, 0.00010248544278617655 ], [ 0.00004064951297513223, 0.00019201813271210635, -0.00026967102577530396, -0.00037198179043870566, 0.0005381444999040946, -0.0014049441585505195, 0.0008134213788597987, -0.00037223854289016576, 0.00014288132370860861 ] ]

D4Xq5yZ76Gbiw8GitnKg27g

{"aspect_ratio": 9.2449423857005, "major_radius": 1.0, "max_elongation": 6.131795753985081, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.15489611833029887, -0.21961246995866252, 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": [[0.6722726146829834, 0.6722736333769279, 0.6722959482283687, 0.6724138415781962, 0.672767970310678, 0.6735604413929415, 0.6750417109350849, 0.6774935051564699, 0.6812103032100781, 0.6864810645225705, 0.6935723427897641, 0.702713551524842, 0.7140848668041593, 0.7278080387545003, 0.7439402158573476, 0.7624707539436199, 0.7833208773632672, 0.8063459780824938, 0.8313402756586487, 0.858043514368326, 0.8861493410439725, 0.9153149866710384, 0.9451718650865855, 0.9753367020046501, 1.005422816046501, 1.035051189575537, 1.0638609901235676, 1.0915192323170109, 1.1177293047916794, 1.1422381259862564, 1.1648417363168673, 1.1853891814634883, 1.2037845917536252, 1.219987415315043, 1.2340108171768192, 1.2459183121883617, 1.2558187558192322, 1.2638598728594785, 1.2702205589400826, 1.2751022427041723, 1.2787196462970776, 1.281291327309943, 1.2830304248084117, 1.2841360635651031, 1.2847858913845132, 1.2851302306938845, 1.285288311820687, 1.2853470127860425, 1.285362443653034, 1.285364551693506, 1.2853646092625641], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2661724188551121}

9.244942

1

6.131796

[ [ 0.6722726146829834, 0.6722736333769279, 0.6722959482283687, 0.6724138415781962, 0.672767970310678, 0.6735604413929415, 0.6750417109350849, 0.6774935051564699, 0.6812103032100781, 0.6864810645225705, 0.6935723427897641, 0.702713551524842, 0.7140848668041593, 0.7278080387545003, 0.7439402158573476, 0.7624707539436199, 0.7833208773632672, 0.8063459780824938, 0.8313402756586487, 0.858043514368326, 0.8861493410439725, 0.9153149866710384, 0.9451718650865855, 0.9753367020046501, 1.005422816046501, 1.035051189575537, 1.0638609901235676, 1.0915192323170109, 1.1177293047916794, 1.1422381259862564, 1.1648417363168673, 1.1853891814634883, 1.2037845917536252, 1.219987415315043, 1.2340108171768192, 1.2459183121883617, 1.2558187558192322, 1.2638598728594785, 1.2702205589400826, 1.2751022427041723, 1.2787196462970776, 1.281291327309943, 1.2830304248084117, 1.2841360635651031, 1.2847858913845132, 1.2851302306938845, 1.285288311820687, 1.2853470127860425, 1.285362443653034, 1.285364551693506, 1.2853646092625641 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.15489611833029887, -0.21961246995866252, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.266172

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

DPhcYH3oXfGzdwttSzefWqx

null

false

null

false

D9aAA36vvZVxNGmUu6Swntq

D96gWNeakVhjZXqYPP62udm

{"qi": 0.011364312723898151, "vacuum_well": -0.14378289009393216, "aspect_ratio": 10.06047042680312, "max_elongation": 4.553952670876978, "average_triangularity": -0.5271332461819627, "axis_magnetic_mirror_ratio": 0.12355479209638495, "edge_magnetic_mirror_ratio": 0.19113274174299574, "aspect_ratio_over_edge_rotational_transform": 17.06858893227575, "flux_compression_in_regions_of_bad_curvature": 1.192716234295621, "axis_rotational_transform_over_n_field_periods": 0.14682305035234236, "edge_rotational_transform_over_n_field_periods": 0.19647143390549668, "minimum_normalized_magnetic_gradient_scale_length": 7.050854259410198}

10.06047

17.068589

-0.8845

0.123555

0.146823

0.191133

0.196471

1.192716

4.553953

7.050854

0.011364

-0.143783

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.055852098223202175,-0.01752715997634058,-0.003287501939349599,-0.00019573831715505308],[0.0004391315449724954,-0.00483001886160047,0.0014998802165357445,-0.06345956887415116,0.10817808329036105,0.012646416652942739,0.011000784494313201,0.002038652380956158,0.00020824360127500075],[-0.0006959970153834183,0.00030917083396629153,-0.013381145489678614,0.0042948159469545924,-0.013681592750704144,-0.0014161139265092212,-0.0036419371570202497,-0.0003084256106450482,0.00008067355157657881],[0.0002429168320599565,-0.0001954182279575054,0.002734363393782322,-0.0038606868060528368,0.0015429489099457682,0.000563029248758568,-0.0006711555416849431,-0.00012503128850080517,0.00005979421396401593],[-0.00018570401347659508,0.0004216404485561302,0.00006651150329623924,-0.0004707754109304365,0.00009486850056835859,-0.000051495803674537436,0.00013326417303258708,-0.00010896306746853088,0.000011884964095433732]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1183336578371572,-0.007374600036934378,-0.0008879622524009521,-0.00005773580452448842],[-0.00011892417003577957,-0.0002031509572466838,0.01972494455013636,-0.054951633540131536,-0.13198480809232394,0.018979471000594116,0.0055716698080955866,0.0010109304658943025,0.00034782086209592236],[-0.00007067248527322243,0.007286338069672103,-0.014719743571290515,0.006722846868373938,-0.004865547616652004,-0.006459548934929301,-0.002288689485472337,-0.0013905976246879896,-0.000118288787357556],[0.00044301970480202296,-0.0024593548748651954,0.0064043220491441614,0.006323749398176621,-0.007011609547943232,0.005457888858469894,0.00026606801645246174,-0.000640972167483632,-0.00004656873542161982],[0.00019595816492358237,-0.0012492968760549296,0.002022013173993841,0.000060058021600662055,-0.0014813358024751639,0.0004457979135477611,-0.000058785539651722615,0.00009813234035718754,0.000016841015461900718]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.055852098223202175, -0.01752715997634058, -0.003287501939349599, -0.00019573831715505308 ], [ 0.0004391315449724954, -0.00483001886160047, 0.0014998802165357445, -0.06345956887415116, 0.10817808329036105, 0.012646416652942739, 0.011000784494313201, 0.002038652380956158, 0.00020824360127500075 ], [ -0.0006959970153834183, 0.00030917083396629153, -0.013381145489678614, 0.0042948159469545924, -0.013681592750704144, -0.0014161139265092212, -0.0036419371570202497, -0.0003084256106450482, 0.00008067355157657881 ], [ 0.0002429168320599565, -0.0001954182279575054, 0.002734363393782322, -0.0038606868060528368, 0.0015429489099457682, 0.000563029248758568, -0.0006711555416849431, -0.00012503128850080517, 0.00005979421396401593 ], [ -0.00018570401347659508, 0.0004216404485561302, 0.00006651150329623924, -0.0004707754109304365, 0.00009486850056835859, -0.000051495803674537436, 0.00013326417303258708, -0.00010896306746853088, 0.000011884964095433732 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1183336578371572, -0.007374600036934378, -0.0008879622524009521, -0.00005773580452448842 ], [ -0.00011892417003577957, -0.0002031509572466838, 0.01972494455013636, -0.054951633540131536, -0.13198480809232394, 0.018979471000594116, 0.0055716698080955866, 0.0010109304658943025, 0.00034782086209592236 ], [ -0.00007067248527322243, 0.007286338069672103, -0.014719743571290515, 0.006722846868373938, -0.004865547616652004, -0.006459548934929301, -0.002288689485472337, -0.0013905976246879896, -0.000118288787357556 ], [ 0.00044301970480202296, -0.0024593548748651954, 0.0064043220491441614, 0.006323749398176621, -0.007011609547943232, 0.005457888858469894, 0.00026606801645246174, -0.000640972167483632, -0.00004656873542161982 ], [ 0.00019595816492358237, -0.0012492968760549296, 0.002022013173993841, 0.000060058021600662055, -0.0014813358024751639, 0.0004457979135477611, -0.000058785539651722615, 0.00009813234035718754, 0.000016841015461900718 ] ]

DPP4RbqB47UcHSDinoEHzup

{"aspect_ratio": 10.304044454470421, "major_radius": 1.0, "max_elongation": 4.454493402614643, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.033953685450157346, 0.029070081734831114, 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": [[0.9007384135418148, 0.9007384193943885, 0.90073861659866, 0.9007400131645759, 0.9007452793009284, 0.9007595366693203, 0.900791049811139, 0.9008518019281939, 0.9009579453437452, 0.9011301212338332, 0.9013936459008263, 0.9017785627498293, 0.9023195605705725, 0.9030557598994642, 0.9040303702389715, 0.9052902218062869, 0.906885176311484, 0.9088674220563372, 0.9112906594211537, 0.914209183586787, 0.9176768721389461, 0.9217460860376598, 0.9264664933223551, 0.9318838258797367, 0.9380385806470531, 0.9449646777801998, 0.9526880896118918, 0.9612254556935405, 0.9705827008977386, 0.980753675510187, 0.9917188385300844, 1.003444008117838, 1.0158792064003772, 1.028957629832611, 1.0425947812465846, 1.056687805917832, 1.07111508190046, 1.08573612520202, 1.1003918840992528, 1.114905515604208, 1.1290837632838477, 1.142719093475741, 1.1555928036411212, 1.1674794053214856, 1.178152730490531, 1.1873944676424555, 1.1950063266368283, 1.2008280847846993, 1.2047664078134632, 1.2068478967365701, 1.2073599262743666], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3640091194526378}

10.304044

1

4.454493

[ [ 0.9007384135418148, 0.9007384193943885, 0.90073861659866, 0.9007400131645759, 0.9007452793009284, 0.9007595366693203, 0.900791049811139, 0.9008518019281939, 0.9009579453437452, 0.9011301212338332, 0.9013936459008263, 0.9017785627498293, 0.9023195605705725, 0.9030557598994642, 0.9040303702389715, 0.9052902218062869, 0.906885176311484, 0.9088674220563372, 0.9112906594211537, 0.914209183586787, 0.9176768721389461, 0.9217460860376598, 0.9264664933223551, 0.9318838258797367, 0.9380385806470531, 0.9449646777801998, 0.9526880896118918, 0.9612254556935405, 0.9705827008977386, 0.980753675510187, 0.9917188385300844, 1.003444008117838, 1.0158792064003772, 1.028957629832611, 1.0425947812465846, 1.056687805917832, 1.07111508190046, 1.08573612520202, 1.1003918840992528, 1.114905515604208, 1.1290837632838477, 1.142719093475741, 1.1555928036411212, 1.1674794053214856, 1.178152730490531, 1.1873944676424555, 1.1950063266368283, 1.2008280847846993, 1.2047664078134632, 1.2068478967365701, 1.2073599262743666 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.033953685450157346, 0.029070081734831114, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.364009

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

Dbho65rrLjJxK2aA8QfnSHF

null

false

null

false

Dgsw6tr9SjKsZddZSLHzmbJ

Ditj9FrFbm5A7hnrmwdBAtf

{"qi": 0.009900176508452527, "vacuum_well": -0.26117657909858344, "aspect_ratio": 9.707736663997213, "max_elongation": 6.760368870363762, "average_triangularity": -0.5778143917836269, "axis_magnetic_mirror_ratio": 0.2832946235402605, "edge_magnetic_mirror_ratio": 0.48010655380761413, "aspect_ratio_over_edge_rotational_transform": 9.780460463166348, "flux_compression_in_regions_of_bad_curvature": 1.3804288272455423, "axis_rotational_transform_over_n_field_periods": 0.17893734041574275, "edge_rotational_transform_over_n_field_periods": 0.3308547929332157, "minimum_normalized_magnetic_gradient_scale_length": 5.021165995564271}

9.707737

9.78046

-0.608446

0.283295

0.178937

0.480107

0.330855

1.380429

6.760369

5.021166

0.0099

-0.261177

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.022654509991074538,-0.03209883094200969,-0.00528775408564078,0.00012880473346846277],[-0.002710303319818315,-0.01803428191901981,0.061991446383873224,0.008474352141966329,0.1038483638514124,-0.06136025319438729,-0.0156770088259049,-0.002165771614740724,-0.002515615299766914],[0.0009567638467716934,0.0018968600232890098,0.006054544686720827,-0.009524441553319534,-0.004034531706349348,-0.008510561647668481,-0.004713732258796707,0.0004948931868185761,-0.0003482898684121752],[0.0037749968115726035,-0.0002381338064887218,0.0011524115395554141,-0.005362266769852626,0.0010400784638897437,-0.002488010049695036,-0.0020752584219051766,0.00033628847212676955,-0.00018632873323657945],[-0.001201528316326489,0.00047466345298671385,-0.0000376040565409843,-0.0010697967682733638,0.0003637938946934177,-0.0003152584353527726,-0.0002710462677961421,-0.0002488997097838774,0.00012069536151314351]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.008206481306041385,0.011613682332041284,-0.004792350395083125,-0.0002591683576944389],[-0.0019054571338268597,0.001759453644573685,0.05774117297324284,-0.023185855915048466,-0.1428989324996352,-0.008714554502412514,0.00457179643822659,0.0016673881080756367,0.0006535706599715763],[-0.00007035566747709288,0.0017598240863217448,-0.0010729326960267043,-0.015801792249726346,-0.015941811783081485,0.0007261299859881122,0.002291628638800931,0.00045968224043070106,0.00048070129567448315],[0.0015077805426726583,-0.005155899424952131,-0.00669791979715665,0.00986654432897286,-0.0032590986542765208,-0.001746324185051512,0.0006645249003056149,-0.0002933808659175961,0.0002228509183271818],[0.000511625375565911,0.000010599947404371098,-0.0002630014325090146,0.001322707548488079,-0.00012809703761590145,-0.0004199015753251576,-0.00007532460238115937,0.00024200315918600557,0.00005388939020350712]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.022654509991074538, -0.03209883094200969, -0.00528775408564078, 0.00012880473346846277 ], [ -0.002710303319818315, -0.01803428191901981, 0.061991446383873224, 0.008474352141966329, 0.1038483638514124, -0.06136025319438729, -0.0156770088259049, -0.002165771614740724, -0.002515615299766914 ], [ 0.0009567638467716934, 0.0018968600232890098, 0.006054544686720827, -0.009524441553319534, -0.004034531706349348, -0.008510561647668481, -0.004713732258796707, 0.0004948931868185761, -0.0003482898684121752 ], [ 0.0037749968115726035, -0.0002381338064887218, 0.0011524115395554141, -0.005362266769852626, 0.0010400784638897437, -0.002488010049695036, -0.0020752584219051766, 0.00033628847212676955, -0.00018632873323657945 ], [ -0.001201528316326489, 0.00047466345298671385, -0.0000376040565409843, -0.0010697967682733638, 0.0003637938946934177, -0.0003152584353527726, -0.0002710462677961421, -0.0002488997097838774, 0.00012069536151314351 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.008206481306041385, 0.011613682332041284, -0.004792350395083125, -0.0002591683576944389 ], [ -0.0019054571338268597, 0.001759453644573685, 0.05774117297324284, -0.023185855915048466, -0.1428989324996352, -0.008714554502412514, 0.00457179643822659, 0.0016673881080756367, 0.0006535706599715763 ], [ -0.00007035566747709288, 0.0017598240863217448, -0.0010729326960267043, -0.015801792249726346, -0.015941811783081485, 0.0007261299859881122, 0.002291628638800931, 0.00045968224043070106, 0.00048070129567448315 ], [ 0.0015077805426726583, -0.005155899424952131, -0.00669791979715665, 0.00986654432897286, -0.0032590986542765208, -0.001746324185051512, 0.0006645249003056149, -0.0002933808659175961, 0.0002228509183271818 ], [ 0.000511625375565911, 0.000010599947404371098, -0.0002630014325090146, 0.001322707548488079, -0.00012809703761590145, -0.0004199015753251576, -0.00007532460238115937, 0.00024200315918600557, 0.00005388939020350712 ] ]

DYSDkEmpgGkD7v3EWw4oBLH

{"aspect_ratio": 11.850172115771326, "major_radius": 1.0, "max_elongation": 6.451403328284943, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.03419835360101553, -0.3543510387217444, 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": [[0.7172382867006635, 0.7172382897296766, 0.7172384628421301, 0.717240148019, 0.7172480671076055, 0.7172733190562101, 0.7173367272180297, 0.7174721769342689, 0.7177296498159422, 0.7181777185023399, 0.7189053173182892, 0.7200226515846125, 0.7216611520974635, 0.7239724219120495, 0.7271261603058637, 0.7313070838165963, 0.7367108966456818, 0.7435393925395396, 0.7519947975221456, 0.7622734875421001, 0.7745592371783115, 0.7890161749622197, 0.8057816375408985, 0.8249591287218899, 0.8466116002806701, 0.8707552791218686, 0.8973542697815922, 0.9263161621200302, 0.9574888711170677, 0.9906589286318603, 1.025551435437257, 1.0618318653253518, 1.0991098910285335, 1.1369453733995252, 1.1748566198488637, 1.2123309743060662, 1.2488377474681682, 1.2838434308650957, 1.3168290586564422, 1.3473094834136503, 1.3748542112220954, 1.399109289604087, 1.419819547350217, 1.4368502297780839, 1.4502067250454653, 1.4600505811558735, 1.466709261002531, 1.4706758408754448, 1.4725925439339487, 1.4732067965781792, 1.4732715970385073], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5253097489191791}

11.850172

1

6.451403

[ [ 0.7172382867006635, 0.7172382897296766, 0.7172384628421301, 0.717240148019, 0.7172480671076055, 0.7172733190562101, 0.7173367272180297, 0.7174721769342689, 0.7177296498159422, 0.7181777185023399, 0.7189053173182892, 0.7200226515846125, 0.7216611520974635, 0.7239724219120495, 0.7271261603058637, 0.7313070838165963, 0.7367108966456818, 0.7435393925395396, 0.7519947975221456, 0.7622734875421001, 0.7745592371783115, 0.7890161749622197, 0.8057816375408985, 0.8249591287218899, 0.8466116002806701, 0.8707552791218686, 0.8973542697815922, 0.9263161621200302, 0.9574888711170677, 0.9906589286318603, 1.025551435437257, 1.0618318653253518, 1.0991098910285335, 1.1369453733995252, 1.1748566198488637, 1.2123309743060662, 1.2488377474681682, 1.2838434308650957, 1.3168290586564422, 1.3473094834136503, 1.3748542112220954, 1.399109289604087, 1.419819547350217, 1.4368502297780839, 1.4502067250454653, 1.4600505811558735, 1.466709261002531, 1.4706758408754448, 1.4725925439339487, 1.4732067965781792, 1.4732715970385073 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.03419835360101553, -0.3543510387217444, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.52531

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

D2KhXfzvxBZridJspwqeeTq

null

false

null

false

D58bskXXAd5f6f7uXLMhN7s

DLfrHUvr3cT85z3XkTUiEXU

{"qi": 0.0008719479755237045, "vacuum_well": -0.0992827273505701, "aspect_ratio": 9.255166613724581, "max_elongation": 6.152533391951377, "average_triangularity": -0.3148593994274903, "axis_magnetic_mirror_ratio": 0.33538961397498146, "edge_magnetic_mirror_ratio": 0.3539346884545143, "aspect_ratio_over_edge_rotational_transform": 13.840101478974638, "flux_compression_in_regions_of_bad_curvature": 1.5824621882161938, "axis_rotational_transform_over_n_field_periods": 0.16282097225277634, "edge_rotational_transform_over_n_field_periods": 0.2229070027120028, "minimum_normalized_magnetic_gradient_scale_length": 7.7414193327852345}

9.255167

13.840101

-0.592504

0.33539

0.162821

0.353935

0.222907

1.582462

6.152533

7.741419

0.000872

-0.099283

{"r_cos":[[0.0,0.0,0.0,0.0,0.9982220406611266,0.0763341383524088,-0.01671808268551583,-0.00917824182964239,-0.0003168262928672284],[0.0008421726896191011,-0.00032560137086716956,-0.023953101851164112,-0.048035776963222504,0.11427070421764812,-0.006693846302564796,0.000329186187966294,-0.002193842555597238,0.0004990853369008947],[0.0006203586611853072,-0.001897217495854404,-0.00823502035630486,0.0066596894423934325,-0.006577789136456445,-0.0017725764017383406,0.002321613116776398,-0.0004976318867714373,0.00013574423749953787],[0.0009953518094142823,0.003759956311453926,0.0016023880710596388,-0.0068519771627262105,0.0007184166889738275,-0.0006273492900844679,0.0009640225260513642,-0.0003334785368237288,0.0000624732910847152],[-0.00042236062859086256,-0.0014433150061823818,-0.0014258402064652909,0.0005326564759599974,-0.00001192903676664001,0.00013678613886149935,-0.00004348485149388798,-0.00001560798546525275,3.317057711517066e-7]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1304938292343717,-0.016581998835036364,0.004269778658407091,0.0012832261625168161],[-0.00047647093220430024,-5.513994360346029e-6,-0.009871097847786815,-0.09156909425822798,-0.13992780049735745,0.034698337301490224,-0.004140426491410385,0.0006397402145007023,-0.000049915271766610124],[-0.0005237771201688073,-0.0021472339136258726,-0.001586991275584005,0.003162844675875277,-0.006571113936137379,0.008138421360486847,-0.002489813718846237,0.00011665430345319475,-0.00010819770309784509],[0.0007589546097108266,0.001979544065747338,0.000580134618364367,0.0016117081790772208,-0.0005122210617740486,0.0014731100471200476,-0.0011480459052890931,0.0003249419345427488,-0.00007190478185527016],[-0.0007912941295502951,-0.0008759181736431057,0.0015351548415952366,0.0008802374167380801,-0.0009575617499390908,0.0005668899323641604,-0.0003337227551906564,0.00013761555648624652,-0.000023148535988508747]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9982220406611266, 0.0763341383524088, -0.01671808268551583, -0.00917824182964239, -0.0003168262928672284 ], [ 0.0008421726896191011, -0.00032560137086716956, -0.023953101851164112, -0.048035776963222504, 0.11427070421764812, -0.006693846302564796, 0.000329186187966294, -0.002193842555597238, 0.0004990853369008947 ], [ 0.0006203586611853072, -0.001897217495854404, -0.00823502035630486, 0.0066596894423934325, -0.006577789136456445, -0.0017725764017383406, 0.002321613116776398, -0.0004976318867714373, 0.00013574423749953787 ], [ 0.0009953518094142823, 0.003759956311453926, 0.0016023880710596388, -0.0068519771627262105, 0.0007184166889738275, -0.0006273492900844679, 0.0009640225260513642, -0.0003334785368237288, 0.0000624732910847152 ], [ -0.00042236062859086256, -0.0014433150061823818, -0.0014258402064652909, 0.0005326564759599974, -0.00001192903676664001, 0.00013678613886149935, -0.00004348485149388798, -0.00001560798546525275, 3.317057711517066e-7 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1304938292343717, -0.016581998835036364, 0.004269778658407091, 0.0012832261625168161 ], [ -0.00047647093220430024, -0.000005513994360346029, -0.009871097847786815, -0.09156909425822798, -0.13992780049735745, 0.034698337301490224, -0.004140426491410385, 0.0006397402145007023, -0.000049915271766610124 ], [ -0.0005237771201688073, -0.0021472339136258726, -0.001586991275584005, 0.003162844675875277, -0.006571113936137379, 0.008138421360486847, -0.002489813718846237, 0.00011665430345319475, -0.00010819770309784509 ], [ 0.0007589546097108266, 0.001979544065747338, 0.000580134618364367, 0.0016117081790772208, -0.0005122210617740486, 0.0014731100471200476, -0.0011480459052890931, 0.0003249419345427488, -0.00007190478185527016 ], [ -0.0007912941295502951, -0.0008759181736431057, 0.0015351548415952366, 0.0008802374167380801, -0.0009575617499390908, 0.0005668899323641604, -0.0003337227551906564, 0.00013761555648624652, -0.000023148535988508747 ] ]

DQoM9PYhbrJjhbZ5K5mkPsr

{"aspect_ratio": 10.340104990859839, "major_radius": 1.0, "max_elongation": 6.328785634929119, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.25247308669300844, -0.11568454342955123, 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": [[0.7088251681736699, 0.7088252138310729, 0.7088267404622594, 0.7088373943827689, 0.7088768405252827, 0.7089814728732216, 0.7092077051136334, 0.709633810449967, 0.7103603675385444, 0.7115094149704336, 0.7132224434202266, 0.7156573710491388, 0.7189846578697648, 0.7233827205950201, 0.7290328121823256, 0.736113530573192, 0.7447951194894231, 0.7552337208963343, 0.7675657340971771, 0.7819024305306486, 0.7983249663065466, 0.8168799263994855, 0.8375755252654814, 0.8603785784664578, 0.885212348678273, 0.9119553571944828, 0.9404412386773605, 0.9704597023858672, 1.0017586473408175, 1.0340474617574213, 1.0670015184398831, 1.1002678575074691, 1.1334720255719568, 1.1662260160130427, 1.1981372279152818, 1.228818331034902, 1.257897890193666, 1.285031563858681, 1.3099136471411823, 1.3322886773245632, 1.3519627578539133, 1.368814180841262, 1.3828028329610156, 1.3939777461465126, 1.4024819875934664, 1.4085538459953122, 1.4125229097250784, 1.4147990336556013, 1.4158510703494156, 1.4161697185737525, 1.4162007398077439], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5385992441193134}

10.340105

1

6.328786

[ [ 0.7088251681736699, 0.7088252138310729, 0.7088267404622594, 0.7088373943827689, 0.7088768405252827, 0.7089814728732216, 0.7092077051136334, 0.709633810449967, 0.7103603675385444, 0.7115094149704336, 0.7132224434202266, 0.7156573710491388, 0.7189846578697648, 0.7233827205950201, 0.7290328121823256, 0.736113530573192, 0.7447951194894231, 0.7552337208963343, 0.7675657340971771, 0.7819024305306486, 0.7983249663065466, 0.8168799263994855, 0.8375755252654814, 0.8603785784664578, 0.885212348678273, 0.9119553571944828, 0.9404412386773605, 0.9704597023858672, 1.0017586473408175, 1.0340474617574213, 1.0670015184398831, 1.1002678575074691, 1.1334720255719568, 1.1662260160130427, 1.1981372279152818, 1.228818331034902, 1.257897890193666, 1.285031563858681, 1.3099136471411823, 1.3322886773245632, 1.3519627578539133, 1.368814180841262, 1.3828028329610156, 1.3939777461465126, 1.4024819875934664, 1.4085538459953122, 1.4125229097250784, 1.4147990336556013, 1.4158510703494156, 1.4161697185737525, 1.4162007398077439 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.25247308669300844, -0.11568454342955123, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.538599

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

D96YgY5dJ5kDfvsDcncfeWU

null

false

null

false

DAJprbwe3dzteYKTbbms93R

DHYLaPyg9rANfZq252F3QvX

{"qi": 0.024161332337098565, "vacuum_well": -0.20130988203914585, "aspect_ratio": 8.022845395117423, "max_elongation": 7.578434295736755, "average_triangularity": -0.19474163330313926, "axis_magnetic_mirror_ratio": 0.45855053368054277, "edge_magnetic_mirror_ratio": 0.5582775274932441, "aspect_ratio_over_edge_rotational_transform": 7.25133950307186, "flux_compression_in_regions_of_bad_curvature": 1.5205053260978838, "axis_rotational_transform_over_n_field_periods": 0.2605852826860774, "edge_rotational_transform_over_n_field_periods": 0.36879831612346625, "minimum_normalized_magnetic_gradient_scale_length": 4.464175427839239}

8.022845

7.25134

-0.478287

0.458551

0.260585

0.558278

0.368798

1.520505

7.578434

4.464175

0.024161

-0.20131

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.16784172281098467,-0.01850002397193776,-0.003725239154486769,-0.002725805763120574],[0.0018823420521323416,0.01458580899320731,0.06378938994105765,-0.0694112003277833,0.07970314548010898,0.02940705537366068,-0.022515317699299063,-0.006655068617667524,0.00012208300853270323],[-0.00048749430556498845,-0.008177237361410851,-0.01388721763314292,-0.006081659246607578,-0.03921017768613739,-0.020406326821931334,-0.002710277218574861,-0.002811781762688591,-0.0004889707449472669],[-0.0005055054453140988,0.0010507818196006165,-0.0013080498048630297,-0.011016503784380571,0.002546335715149711,0.0007811651214329265,-0.00018120618513690835,-0.0003671915515398854,-0.00020523806061440223],[0.00016261392689726888,-0.0006575264913729576,0.00011915843118746833,0.00040681191146649167,0.0010341759677545354,-0.00036381922418367383,-0.000016096791198147542,0.00014521326456987094,-0.000022967461071807252]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08196810342390506,-0.012262159788862345,0.007919286259801893,0.0007291168237776764],[0.0011194357231086036,0.014790193224727691,0.0408213874983941,0.010418636778001946,-0.16169072189440317,-0.01362926701832556,0.018500992567390524,0.005705525900995618,-0.0004164759327413976],[-0.0019505809012763404,-0.004307073702448564,-0.018112560313886375,-0.02387719698861331,0.02209747767825049,0.02063566554683496,0.005442423936986373,0.0009581192664582529,0.0006266978350756518],[0.00009538696188557814,0.0006181578790848043,-0.0017570520725542049,0.002181404976889079,-0.0013713617764034849,-0.0009741757401487848,-0.0003819437259097696,0.0009489230092377743,0.00020322893497856217],[0.00022007138398948394,-0.0005563036624064632,-0.0006565884003669558,-0.0013615092514546142,0.00033989937144963175,-0.00009444187857002274,0.00027817640374315625,-0.000025139132391351873,-0.000057892775534027115]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.16784172281098467, -0.01850002397193776, -0.003725239154486769, -0.002725805763120574 ], [ 0.0018823420521323416, 0.01458580899320731, 0.06378938994105765, -0.0694112003277833, 0.07970314548010898, 0.02940705537366068, -0.022515317699299063, -0.006655068617667524, 0.00012208300853270323 ], [ -0.00048749430556498845, -0.008177237361410851, -0.01388721763314292, -0.006081659246607578, -0.03921017768613739, -0.020406326821931334, -0.002710277218574861, -0.002811781762688591, -0.0004889707449472669 ], [ -0.0005055054453140988, 0.0010507818196006165, -0.0013080498048630297, -0.011016503784380571, 0.002546335715149711, 0.0007811651214329265, -0.00018120618513690835, -0.0003671915515398854, -0.00020523806061440223 ], [ 0.00016261392689726888, -0.0006575264913729576, 0.00011915843118746833, 0.00040681191146649167, 0.0010341759677545354, -0.00036381922418367383, -0.000016096791198147542, 0.00014521326456987094, -0.000022967461071807252 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08196810342390506, -0.012262159788862345, 0.007919286259801893, 0.0007291168237776764 ], [ 0.0011194357231086036, 0.014790193224727691, 0.0408213874983941, 0.010418636778001946, -0.16169072189440317, -0.01362926701832556, 0.018500992567390524, 0.005705525900995618, -0.0004164759327413976 ], [ -0.0019505809012763404, -0.004307073702448564, -0.018112560313886375, -0.02387719698861331, 0.02209747767825049, 0.02063566554683496, 0.005442423936986373, 0.0009581192664582529, 0.0006266978350756518 ], [ 0.00009538696188557814, 0.0006181578790848043, -0.0017570520725542049, 0.002181404976889079, -0.0013713617764034849, -0.0009741757401487848, -0.0003819437259097696, 0.0009489230092377743, 0.00020322893497856217 ], [ 0.00022007138398948394, -0.0005563036624064632, -0.0006565884003669558, -0.0013615092514546142, 0.00033989937144963175, -0.00009444187857002274, 0.00027817640374315625, -0.000025139132391351873, -0.000057892775534027115 ] ]

DbDUvbYakVhnz3i793VKudH

{"aspect_ratio": 7.805744428103496, "major_radius": 1.0, "max_elongation": 6.850193055826832, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.11410805368088678, -0.24677965285217293, 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": [[0.5760201984052924, 0.5760349832209591, 0.5762254059849148, 0.5769459782118932, 0.5786548878608048, 0.5818425772760154, 0.5869802631046296, 0.5944832825737821, 0.6046862221814405, 0.617827598253146, 0.6340423034990526, 0.6533603249010411, 0.6757104521267245, 0.7009278651780796, 0.7287646314513498, 0.7589022647033941, 0.7909656068048534, 0.824537390856356, 0.8591729333636006, 0.8944144851398823, 0.9298048464268801, 0.9648999221078179, 0.9992799583485745, 1.0325592629223475, 1.0643942681331136, 1.0944898478593141, 1.122603848941713, 1.1485498420426454, 1.1721981382750728, 1.1934751553742855, 1.2123612509699788, 1.228887170592668, 1.2431292843717365, 1.2552038088826878, 1.2652602291811492, 1.2734741505934641, 1.280039820156584, 1.285162563510903, 1.289051384296343, 1.2919119693693646, 1.2939403340504305, 1.2953173266231555, 1.2962041897841763, 1.2967393478201905, 1.2970365507836572, 1.297184459178363, 1.2972476921680607, 1.2972692851659229, 1.297274402113339, 1.2972750107171613, 1.2972750241416895], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8410334729360912}

7.805744

1

6.850193

[ [ 0.5760201984052924, 0.5760349832209591, 0.5762254059849148, 0.5769459782118932, 0.5786548878608048, 0.5818425772760154, 0.5869802631046296, 0.5944832825737821, 0.6046862221814405, 0.617827598253146, 0.6340423034990526, 0.6533603249010411, 0.6757104521267245, 0.7009278651780796, 0.7287646314513498, 0.7589022647033941, 0.7909656068048534, 0.824537390856356, 0.8591729333636006, 0.8944144851398823, 0.9298048464268801, 0.9648999221078179, 0.9992799583485745, 1.0325592629223475, 1.0643942681331136, 1.0944898478593141, 1.122603848941713, 1.1485498420426454, 1.1721981382750728, 1.1934751553742855, 1.2123612509699788, 1.228887170592668, 1.2431292843717365, 1.2552038088826878, 1.2652602291811492, 1.2734741505934641, 1.280039820156584, 1.285162563510903, 1.289051384296343, 1.2919119693693646, 1.2939403340504305, 1.2953173266231555, 1.2962041897841763, 1.2967393478201905, 1.2970365507836572, 1.297184459178363, 1.2972476921680607, 1.2972692851659229, 1.297274402113339, 1.2972750107171613, 1.2972750241416895 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.11410805368088678, -0.24677965285217293, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.841033

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

DCWRBkjxH6MsV29kvHDahpn

null

false

null

false

D2VHsAphyLUNDRWN9cf2yMJ

DTCfqYpPzpQrshVQ8RXu2EL

{"qi": 0.01537259206568557, "vacuum_well": -0.08626645868341651, "aspect_ratio": 10.151900610793376, "max_elongation": 4.796616346306774, "average_triangularity": -0.5500452689635564, "axis_magnetic_mirror_ratio": 0.17756330015880717, "edge_magnetic_mirror_ratio": 0.20236866678303905, "aspect_ratio_over_edge_rotational_transform": 18.835871327256452, "flux_compression_in_regions_of_bad_curvature": 1.1589172040281495, "axis_rotational_transform_over_n_field_periods": 0.30183422451523906, "edge_rotational_transform_over_n_field_periods": 0.2694831694911577, "minimum_normalized_magnetic_gradient_scale_length": 3.8623480731892927}

10.151901

18.835871

-0.673524

0.177563

0.301834

0.202369

0.269483

1.158917

4.796616

3.862348

0.015373

-0.086266

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.008731298674557617,-0.05700553044030928,0.0027886629917539306,0.0030381637035604586],[-0.003965839674181442,-0.0019291440030266842,0.044093177049401716,-0.0009327156882609985,0.0859614545919028,-0.004605076096528713,-0.008221539989272785,-0.000056407476734747345,-0.0006320460382172194],[0.0022592731115831264,0.00363797266969966,-0.01411307102195644,0.0015777619922346321,-0.005631693745340808,-0.005044315792884748,-0.003757699488282697,-0.0011317960118437645,-0.000568240183542152],[-0.0018597343758402559,-0.0011936047663420022,0.0029847129059277317,0.0023407480874463905,0.0036240706053645294,0.0016540996353578174,-0.0004763081380510152,-0.00017264127610304046,-0.0001496418711924004],[0.0004732202797422013,-0.00007735054669109063,-0.00023666338480114434,-0.0008439183785290075,-0.0005904663223875172,-0.00017429455375748108,-0.0001387807824084785,0.00007645788257116019,-0.00009343787029040241]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.00440410447691982,0.02964193743380902,0.0008266173382413134,-0.0026142738902460655],[-0.002699339805116536,-0.004130190594091373,0.062209787907767704,0.0085586944821541,-0.1590525126931488,0.005213728982252043,-0.0022358666456869306,-0.0004584139732706604,0.00046341838775742594],[0.0032673055152296487,0.002862595696856801,-0.026396919195696145,-0.0013154533060899707,-0.023560342340955952,0.0026666355876148956,0.0012839179781064386,0.0008858025754691903,0.0009171967616519751],[-0.0025157791878420363,0.0013370969102125523,0.001675681968857801,0.0009909040446941745,-0.006262056914737086,-0.002336647050075254,0.0006226909678510759,0.0001946356478754876,0.0004232628410218971],[0.0011098276102792688,-0.0014716268020145582,0.0002717341935316277,-0.0009916035787419142,0.001159183086838662,0.00025591526335769416,0.00003207491262803184,-0.00008094138629743269,0.00014751909446938764]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.008731298674557617, -0.05700553044030928, 0.0027886629917539306, 0.0030381637035604586 ], [ -0.003965839674181442, -0.0019291440030266842, 0.044093177049401716, -0.0009327156882609985, 0.0859614545919028, -0.004605076096528713, -0.008221539989272785, -0.000056407476734747345, -0.0006320460382172194 ], [ 0.0022592731115831264, 0.00363797266969966, -0.01411307102195644, 0.0015777619922346321, -0.005631693745340808, -0.005044315792884748, -0.003757699488282697, -0.0011317960118437645, -0.000568240183542152 ], [ -0.0018597343758402559, -0.0011936047663420022, 0.0029847129059277317, 0.0023407480874463905, 0.0036240706053645294, 0.0016540996353578174, -0.0004763081380510152, -0.00017264127610304046, -0.0001496418711924004 ], [ 0.0004732202797422013, -0.00007735054669109063, -0.00023666338480114434, -0.0008439183785290075, -0.0005904663223875172, -0.00017429455375748108, -0.0001387807824084785, 0.00007645788257116019, -0.00009343787029040241 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.00440410447691982, 0.02964193743380902, 0.0008266173382413134, -0.0026142738902460655 ], [ -0.002699339805116536, -0.004130190594091373, 0.062209787907767704, 0.0085586944821541, -0.1590525126931488, 0.005213728982252043, -0.0022358666456869306, -0.0004584139732706604, 0.00046341838775742594 ], [ 0.0032673055152296487, 0.002862595696856801, -0.026396919195696145, -0.0013154533060899707, -0.023560342340955952, 0.0026666355876148956, 0.0012839179781064386, 0.0008858025754691903, 0.0009171967616519751 ], [ -0.0025157791878420363, 0.0013370969102125523, 0.001675681968857801, 0.0009909040446941745, -0.006262056914737086, -0.002336647050075254, 0.0006226909678510759, 0.0001946356478754876, 0.0004232628410218971 ], [ 0.0011098276102792688, -0.0014716268020145582, 0.0002717341935316277, -0.0009916035787419142, 0.001159183086838662, 0.00025591526335769416, 0.00003207491262803184, -0.00008094138629743269, 0.00014751909446938764 ] ]

DXqxXA6rWLsChExbpY6onaS

{"aspect_ratio": 10.865446595613268, "major_radius": 1.0, "max_elongation": 4.58520035939172, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.07283952308013585, 0.24957306902405166, 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": [[0.8351093000467849, 0.8351093560641673, 0.8351115195275635, 0.8351277008164301, 0.835189638200495, 0.8353559715948861, 0.8357151556368125, 0.8363842865965359, 0.8375044358396612, 0.839233308700344, 0.8417361215080925, 0.8451755737262416, 0.8497017212530772, 0.855442452410994, 0.8624951444577001, 0.8709199458097985, 0.8807349950256642, 0.8919137574895655, 0.9043845388142829, 0.9180321233152976, 0.932701388750746, 0.9482026664358567, 0.9643185498347837, 0.9808118053367993, 0.997434006257059, 1.0139344949240685, 1.0300692774665317, 1.045609470744507, 1.06034894967661, 1.0741108846511287, 1.0867529112095693, 1.0981707359876984, 1.1083000520324764, 1.1171167109454136, 1.1246351765268634, 1.1309053622443568, 1.136008030301303, 1.1400490005739659, 1.1431524803077864, 1.1454538771761804, 1.1470924959314066, 1.148204539114634, 1.1489168317108083, 1.149341664677091, 1.1495730992580355, 1.1496849891115013, 1.1497308565515874, 1.1497455985549205, 1.1497487932633812, 1.149749123950829, 1.1497491296577098], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.599359524410298}

10.865447

1

4.5852

[ [ 0.8351093000467849, 0.8351093560641673, 0.8351115195275635, 0.8351277008164301, 0.835189638200495, 0.8353559715948861, 0.8357151556368125, 0.8363842865965359, 0.8375044358396612, 0.839233308700344, 0.8417361215080925, 0.8451755737262416, 0.8497017212530772, 0.855442452410994, 0.8624951444577001, 0.8709199458097985, 0.8807349950256642, 0.8919137574895655, 0.9043845388142829, 0.9180321233152976, 0.932701388750746, 0.9482026664358567, 0.9643185498347837, 0.9808118053367993, 0.997434006257059, 1.0139344949240685, 1.0300692774665317, 1.045609470744507, 1.06034894967661, 1.0741108846511287, 1.0867529112095693, 1.0981707359876984, 1.1083000520324764, 1.1171167109454136, 1.1246351765268634, 1.1309053622443568, 1.136008030301303, 1.1400490005739659, 1.1431524803077864, 1.1454538771761804, 1.1470924959314066, 1.148204539114634, 1.1489168317108083, 1.149341664677091, 1.1495730992580355, 1.1496849891115013, 1.1497308565515874, 1.1497455985549205, 1.1497487932633812, 1.149749123950829, 1.1497491296577098 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.07283952308013585, 0.24957306902405166, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.59936

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

DM68VZsUAup5Dun9zcDTNJk

null

false

null

false

DTaGaEJmiyRzDqQAMWB3zAT

Di8Eq9hBdoGtaQb8hY7nJTp

{"qi": 0.010081660174620291, "vacuum_well": -0.023223133112622082, "aspect_ratio": 9.174371619145543, "max_elongation": 3.6867293607344678, "average_triangularity": 0.30696573981049186, "axis_magnetic_mirror_ratio": 0.28183456113396865, "edge_magnetic_mirror_ratio": 0.3542287434505543, "aspect_ratio_over_edge_rotational_transform": 24.45049449057961, "flux_compression_in_regions_of_bad_curvature": 0.930733701686789, "axis_rotational_transform_over_n_field_periods": 0.2916423035059262, "edge_rotational_transform_over_n_field_periods": 0.3752223343654781, "minimum_normalized_magnetic_gradient_scale_length": 1.765119577540388}

9.174372

24.450494

0.197003

0.281835

0.291642

0.354229

0.375222

0.930734

3.686729

1.76512

0.010082

-0.023223

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.010660591918270373,-0.21100902985072809,0.0009645457390654935,0.006815630498503463],[0.00809699380547441,-0.0027730172722903006,0.05429227782409607,-0.020306517145292188,0.10997189674066422,-0.012542038177928257,0.005163946639288406,-0.00044948684156247295,-0.00019472100628996347],[-0.00450177519517304,0.001120644916555919,0.0006132463618697169,0.0011926495594996912,-0.019535107726040727,0.0014923017168095916,0.00046098716678407824,-0.0002829545895807296,0.0008619804016689854],[-0.0006225659076111792,0.0002034329159883173,-0.005192974320507079,0.0013911102578005865,-0.003742379268989003,-0.00005249599243672108,0.000625607406010364,0.00030784649950791725,-0.0003170626200527424],[0.0002966925725292335,-0.0008324277544972119,-0.0004733611559037057,-0.0003162272670831799,-0.00021431680058665512,0.00019050497444824278,0.0002560477587682671,-0.00008434946749076371,0.00003350828965757415]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0036482329006833868,0.015839114910202325,0.007866183203239565,-0.0032297837698051866],[0.006606342418283055,0.001477973712314747,0.06311344771809155,0.0022343585538634166,-0.1292190837533552,0.0016665253800492257,0.002875928177687455,-0.0016646759210665453,0.0013073838344008514],[-0.0049000995997397784,-0.00248836089007591,0.008071732020293964,-0.0027420968320024533,0.013485949200959024,-0.00023658902361494306,0.0005374137539417359,0.0005678313502595877,-0.001259382853341819],[-0.00017182835051279382,0.000313860588582268,0.0021284810171759887,0.0006774906645169445,0.001257379570257638,-0.00018668892472783382,-0.0014266655538263727,0.000019798827588265864,0.0003252786840738969],[0.0006644486825128572,-0.000507783472379737,0.0002785905177055169,0.00010235655608929498,-0.000045157594693400964,-0.00018810068230758802,0.00007031361522410586,0.000017951756621603578,-0.00007422798617700774]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.010660591918270373, -0.21100902985072809, 0.0009645457390654935, 0.006815630498503463 ], [ 0.00809699380547441, -0.0027730172722903006, 0.05429227782409607, -0.020306517145292188, 0.10997189674066422, -0.012542038177928257, 0.005163946639288406, -0.00044948684156247295, -0.00019472100628996347 ], [ -0.00450177519517304, 0.001120644916555919, 0.0006132463618697169, 0.0011926495594996912, -0.019535107726040727, 0.0014923017168095916, 0.00046098716678407824, -0.0002829545895807296, 0.0008619804016689854 ], [ -0.0006225659076111792, 0.0002034329159883173, -0.005192974320507079, 0.0013911102578005865, -0.003742379268989003, -0.00005249599243672108, 0.000625607406010364, 0.00030784649950791725, -0.0003170626200527424 ], [ 0.0002966925725292335, -0.0008324277544972119, -0.0004733611559037057, -0.0003162272670831799, -0.00021431680058665512, 0.00019050497444824278, 0.0002560477587682671, -0.00008434946749076371, 0.00003350828965757415 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0036482329006833868, 0.015839114910202325, 0.007866183203239565, -0.0032297837698051866 ], [ 0.006606342418283055, 0.001477973712314747, 0.06311344771809155, 0.0022343585538634166, -0.1292190837533552, 0.0016665253800492257, 0.002875928177687455, -0.0016646759210665453, 0.0013073838344008514 ], [ -0.0049000995997397784, -0.00248836089007591, 0.008071732020293964, -0.0027420968320024533, 0.013485949200959024, -0.00023658902361494306, 0.0005374137539417359, 0.0005678313502595877, -0.001259382853341819 ], [ -0.00017182835051279382, 0.000313860588582268, 0.0021284810171759887, 0.0006774906645169445, 0.001257379570257638, -0.00018668892472783382, -0.0014266655538263727, 0.000019798827588265864, 0.0003252786840738969 ], [ 0.0006644486825128572, -0.000507783472379737, 0.0002785905177055169, 0.00010235655608929498, -0.000045157594693400964, -0.00018810068230758802, 0.00007031361522410586, 0.000017951756621603578, -0.00007422798617700774 ] ]

D3nkZV8rupyvLYWLDRXwUAh

{"aspect_ratio": 8.805343822007718, "major_radius": 1.0, "max_elongation": 5.525965887290891, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.30924857410429824, 0.026222697931554857, 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": [[0.7472793293492729, 0.7472802581156263, 0.747297888823799, 0.7473837488617661, 0.747628792060876, 0.74815879595837, 0.7491267844153543, 0.7507041919716466, 0.7530716826771134, 0.7564101876475486, 0.7608925328026303, 0.7666759064111359, 0.7738953321801801, 0.7826582523290333, 0.7930402783468444, 0.8050821303599592, 0.8187877564313714, 0.83412359888542, 0.8510189546916109, 0.8693673602183641, 0.8890289166865567, 0.9098334609815768, 0.9315844768013869, 0.9540636331877551, 0.9770358311289938, 1.0002546340014318, 1.0234679540355052, 1.0464238646821993, 1.0688764076730168, 1.0905912636905937, 1.1113511568974643, 1.1309608661285497, 1.149251719382232, 1.1660854534139808, 1.18135732684327, 1.1949983833626994, 1.2069767715668793, 1.2172980398365003, 1.2260043389392727, 1.2331724819754728, 1.2389108315941004, 1.243355008867583, 1.246662448037772, 1.2490058583231425, 1.250565700890717, 1.2515218505094907, 1.2520446953040412, 1.252286049664297, 1.2523704474952522, 1.2523877295772867, 1.252388635983058], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.22042899239218766}

8.805344

1

5.525966

[ [ 0.7472793293492729, 0.7472802581156263, 0.747297888823799, 0.7473837488617661, 0.747628792060876, 0.74815879595837, 0.7491267844153543, 0.7507041919716466, 0.7530716826771134, 0.7564101876475486, 0.7608925328026303, 0.7666759064111359, 0.7738953321801801, 0.7826582523290333, 0.7930402783468444, 0.8050821303599592, 0.8187877564313714, 0.83412359888542, 0.8510189546916109, 0.8693673602183641, 0.8890289166865567, 0.9098334609815768, 0.9315844768013869, 0.9540636331877551, 0.9770358311289938, 1.0002546340014318, 1.0234679540355052, 1.0464238646821993, 1.0688764076730168, 1.0905912636905937, 1.1113511568974643, 1.1309608661285497, 1.149251719382232, 1.1660854534139808, 1.18135732684327, 1.1949983833626994, 1.2069767715668793, 1.2172980398365003, 1.2260043389392727, 1.2331724819754728, 1.2389108315941004, 1.243355008867583, 1.246662448037772, 1.2490058583231425, 1.250565700890717, 1.2515218505094907, 1.2520446953040412, 1.252286049664297, 1.2523704474952522, 1.2523877295772867, 1.252388635983058 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.30924857410429824, 0.026222697931554857, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.220429

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

DfkVDznUc3gCvaiS3gTts2z

null

false

null

false

D9jwVVkV2ZyVmTk3NrkPMYR

DnPbL83PzJLdagyc3WdeGch

{"qi": 0.06198021123662865, "vacuum_well": -0.1444587068283506, "aspect_ratio": 10.244357240281746, "max_elongation": 4.823878936700012, "average_triangularity": -0.3605769769022267, "axis_magnetic_mirror_ratio": 0.16309110264128207, "edge_magnetic_mirror_ratio": 0.24437272053646825, "aspect_ratio_over_edge_rotational_transform": 12.633950465489033, "flux_compression_in_regions_of_bad_curvature": 0.9525346007890885, "axis_rotational_transform_over_n_field_periods": 0.27729611173130697, "edge_rotational_transform_over_n_field_periods": 0.20271484497792847, "minimum_normalized_magnetic_gradient_scale_length": 4.338568562427}

10.244357

12.63395

-0.485203

0.163091

0.277296

0.244373

0.202715

0.952535

4.823879

4.338569

0.06198

-0.144459

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.018940326723548184,-0.0031673531681056188,0.002481691202715535,-0.0004559157351714093],[-0.0015931474649738247,-0.002355427028668283,0.041617598754553085,-0.05016406291897463,0.09555453896494855,0.004873442092582513,-0.007773589624814996,-0.0005359721361517184,0.0005174631449259669],[0.0013818252101488256,0.0048563429135042736,-0.02998253936198914,0.012339890360433724,0.014706602024050544,0.0032366365573810087,-0.004110408744648627,-0.0002997435097770798,0.0002547271699716939],[-0.001259847644975721,-0.0014143437857365073,0.004761891461386998,0.006548099430795926,0.0084519410545559,0.0011365055347920365,-0.0013443899690167684,-0.00034118293062670665,0.000050652374576859644],[0.0006386719912941151,-0.00010887949432715951,0.0004140142474303611,0.0011477533701376346,0.002031745212152553,0.0009736109867136003,-0.0003123143712108847,0.000026740675403715165,-0.000028934878379033887]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0676196639519564,0.006139626032207753,-0.0011599331770527949,0.0003003770817506802],[-0.0003493389065142342,-0.0069491277082863396,0.03713868929943263,-0.010035421719475236,-0.13180566570952582,0.008776135281215843,0.0038289856402396114,-0.0006100567543202923,-0.0004537001539327156],[0.0010236697008927263,0.0019761042012033884,-0.020520639699334722,-0.004676025174640747,-0.0174745701042593,-4.5986324556756934e-6,0.00425152210681007,-0.0004029949655093185,-0.00006167072991529021],[-0.0016546164154951546,0.002504890806566827,0.002032031859015812,-0.0008710398060441352,-0.0039196683413778265,-0.0004966056029067128,0.0018681282331114778,0.0002610551452589967,-0.000018002702679264528],[0.0003556388866405311,-0.00046350546114990506,0.0004054282936906907,0.0003023399953723657,-0.000330503536174467,-0.0006529949084030208,0.00005215799752754922,0.000030830460985970535,0.00004170686353414856]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.018940326723548184, -0.0031673531681056188, 0.002481691202715535, -0.0004559157351714093 ], [ -0.0015931474649738247, -0.002355427028668283, 0.041617598754553085, -0.05016406291897463, 0.09555453896494855, 0.004873442092582513, -0.007773589624814996, -0.0005359721361517184, 0.0005174631449259669 ], [ 0.0013818252101488256, 0.0048563429135042736, -0.02998253936198914, 0.012339890360433724, 0.014706602024050544, 0.0032366365573810087, -0.004110408744648627, -0.0002997435097770798, 0.0002547271699716939 ], [ -0.001259847644975721, -0.0014143437857365073, 0.004761891461386998, 0.006548099430795926, 0.0084519410545559, 0.0011365055347920365, -0.0013443899690167684, -0.00034118293062670665, 0.000050652374576859644 ], [ 0.0006386719912941151, -0.00010887949432715951, 0.0004140142474303611, 0.0011477533701376346, 0.002031745212152553, 0.0009736109867136003, -0.0003123143712108847, 0.000026740675403715165, -0.000028934878379033887 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0676196639519564, 0.006139626032207753, -0.0011599331770527949, 0.0003003770817506802 ], [ -0.0003493389065142342, -0.0069491277082863396, 0.03713868929943263, -0.010035421719475236, -0.13180566570952582, 0.008776135281215843, 0.0038289856402396114, -0.0006100567543202923, -0.0004537001539327156 ], [ 0.0010236697008927263, 0.0019761042012033884, -0.020520639699334722, -0.004676025174640747, -0.0174745701042593, -0.0000045986324556756934, 0.00425152210681007, -0.0004029949655093185, -0.00006167072991529021 ], [ -0.0016546164154951546, 0.002504890806566827, 0.002032031859015812, -0.0008710398060441352, -0.0039196683413778265, -0.0004966056029067128, 0.0018681282331114778, 0.0002610551452589967, -0.000018002702679264528 ], [ 0.0003556388866405311, -0.00046350546114990506, 0.0004054282936906907, 0.0003023399953723657, -0.000330503536174467, -0.0006529949084030208, 0.00005215799752754922, 0.000030830460985970535, 0.00004170686353414856 ] ]

D8MS4S7Djk6Q8K9DBgTBNSy

{"aspect_ratio": 11.911507151283327, "major_radius": 1.0, "max_elongation": 4.6533539422054275, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.016925156975057785, 0.07705372975298767, 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": [[0.8460204343143234, 0.846020439391312, 0.8460207278392385, 0.8460234897153891, 0.8460361854941617, 0.8460756526450288, 0.8461720367799682, 0.8463719038778075, 0.8467401194313497, 0.8473602691968515, 0.8483335510865867, 0.8497761927710833, 0.8518155478957645, 0.854585098111414, 0.8582186407215988, 0.8628439748297491, 0.8685764144639957, 0.8755124572172602, 0.8837239233420767, 0.8932528548078196, 0.904107428341169, 0.9162590926696855, 0.9296410897814728, 0.9441484646801802, 0.959639609506762, 0.9759393276456407, 0.9928433431382456, 1.0101241219738781, 1.0275378161770599, 1.0448320906004216, 1.0617545474787053, 1.0780614265951982, 1.0935262308246652, 1.1079479092878357, 1.1211582247936986, 1.1330279400365248, 1.1434714794965926, 1.1524497624653156, 1.1599709583230076, 1.1660889893231494, 1.1708996997824448, 1.1745347247381879, 1.1771532266697111, 1.1789318264476336, 1.180053234642494, 1.1806942916129364, 1.1810143485768085, 1.1811451649701885, 1.1811837549032962, 1.1811898759518975, 1.181190084632413], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.0089636393736128}

11.911507

1

4.653354

[ [ 0.8460204343143234, 0.846020439391312, 0.8460207278392385, 0.8460234897153891, 0.8460361854941617, 0.8460756526450288, 0.8461720367799682, 0.8463719038778075, 0.8467401194313497, 0.8473602691968515, 0.8483335510865867, 0.8497761927710833, 0.8518155478957645, 0.854585098111414, 0.8582186407215988, 0.8628439748297491, 0.8685764144639957, 0.8755124572172602, 0.8837239233420767, 0.8932528548078196, 0.904107428341169, 0.9162590926696855, 0.9296410897814728, 0.9441484646801802, 0.959639609506762, 0.9759393276456407, 0.9928433431382456, 1.0101241219738781, 1.0275378161770599, 1.0448320906004216, 1.0617545474787053, 1.0780614265951982, 1.0935262308246652, 1.1079479092878357, 1.1211582247936986, 1.1330279400365248, 1.1434714794965926, 1.1524497624653156, 1.1599709583230076, 1.1660889893231494, 1.1708996997824448, 1.1745347247381879, 1.1771532266697111, 1.1789318264476336, 1.180053234642494, 1.1806942916129364, 1.1810143485768085, 1.1811451649701885, 1.1811837549032962, 1.1811898759518975, 1.181190084632413 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.016925156975057785, 0.07705372975298767, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.008964

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

DWuMfJNnRfiDe8VcZ75xAyL

null

false

null

false

DMFgcsaSVEpHYVpvmiz59RW

DVTGo7SbpmtRLdS5DWxPQ94

{"qi": 0.06509886002613634, "vacuum_well": -0.27909696783626164, "aspect_ratio": 5.755878370672026, "max_elongation": 4.501853656087972, "average_triangularity": 0.38382345372568966, "axis_magnetic_mirror_ratio": 0.5648295630721465, "edge_magnetic_mirror_ratio": 0.9421292821162902, "aspect_ratio_over_edge_rotational_transform": 4.6288485700715345, "flux_compression_in_regions_of_bad_curvature": 1.41055854958724, "axis_rotational_transform_over_n_field_periods": 0.3189667027675934, "edge_rotational_transform_over_n_field_periods": 0.24869590281641357, "minimum_normalized_magnetic_gradient_scale_length": 2.673516063871016}

5.755878

4.628849

0.470785

0.56483

0.318967

0.942129

0.248696

1.410559

4.501854

2.673516

0.065099

-0.279097

{"r_cos":[[0.0,0.0,0.0,0.0,0.9871743214722631,0.34258433132870775,0.052245969979703426,-0.0006732398646422572,-0.0009944624458185628],[0.00014322303040599407,-0.005272440311486029,-0.034581206683010415,-0.10036061295420688,0.18021762731742677,0.013688322842973416,-0.008565324563652499,-0.0022682365747286005,-0.00025841956067031494],[0.0016988841005570307,0.0030046656982595467,0.0003613788461046068,0.020848811674841136,-0.01995255317695932,0.003448941446765384,0.005462565590494888,0.0006314283596447524,-0.00046395244905711084],[-0.0008214254098645116,-0.00028550730828756556,0.007045159505177057,-0.007197594695334388,0.0002729114175929973,0.003926280636389715,0.00009415465975143962,-0.0007661050750872912,0.00020760223882652625],[-0.00015216986211355704,0.0003116381703826014,-0.0014128949156846549,-0.00007270998579023916,0.0012415060320413972,0.000648613232147619,-0.000916978892823448,0.00032306402377813557,-0.00007320297826228907]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08236125855461308,-0.019657945376412453,-0.000013210146917047584,0.0008209730341160841],[0.00019020341281576585,-0.0020823176121917454,-0.02742329503543317,-0.014386470473010548,-0.13925448232763413,-0.007301315095080073,0.002345758858933119,0.0004992204401918187,-0.000012162907238205185],[-0.000326813604345338,-0.000488516859410651,0.01248608301838824,-0.009812644172505998,-0.023196830265213686,0.00032704002445345555,0.0011093164801404664,-0.000726846852927739,0.0006172284253452739],[-0.00003173405750219625,0.003882287103936772,-0.006719768272676434,0.020233240270066934,-0.012882270594611138,-0.003251468211670853,0.0011837175502612861,0.0001894848773636641,-0.0000615579122842679],[-0.00021779406974833801,-0.0027437170620396743,0.0027051242858453207,0.0025008312150688614,-0.0050376328900992836,0.0016118378966225528,0.0009088661858429144,-0.00036396551468239474,0.00004360214209377615]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9871743214722631, 0.34258433132870775, 0.052245969979703426, -0.0006732398646422572, -0.0009944624458185628 ], [ 0.00014322303040599407, -0.005272440311486029, -0.034581206683010415, -0.10036061295420688, 0.18021762731742677, 0.013688322842973416, -0.008565324563652499, -0.0022682365747286005, -0.00025841956067031494 ], [ 0.0016988841005570307, 0.0030046656982595467, 0.0003613788461046068, 0.020848811674841136, -0.01995255317695932, 0.003448941446765384, 0.005462565590494888, 0.0006314283596447524, -0.00046395244905711084 ], [ -0.0008214254098645116, -0.00028550730828756556, 0.007045159505177057, -0.007197594695334388, 0.0002729114175929973, 0.003926280636389715, 0.00009415465975143962, -0.0007661050750872912, 0.00020760223882652625 ], [ -0.00015216986211355704, 0.0003116381703826014, -0.0014128949156846549, -0.00007270998579023916, 0.0012415060320413972, 0.000648613232147619, -0.000916978892823448, 0.00032306402377813557, -0.00007320297826228907 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08236125855461308, -0.019657945376412453, -0.000013210146917047584, 0.0008209730341160841 ], [ 0.00019020341281576585, -0.0020823176121917454, -0.02742329503543317, -0.014386470473010548, -0.13925448232763413, -0.007301315095080073, 0.002345758858933119, 0.0004992204401918187, -0.000012162907238205185 ], [ -0.000326813604345338, -0.000488516859410651, 0.01248608301838824, -0.009812644172505998, -0.023196830265213686, 0.00032704002445345555, 0.0011093164801404664, -0.000726846852927739, 0.0006172284253452739 ], [ -0.00003173405750219625, 0.003882287103936772, -0.006719768272676434, 0.020233240270066934, -0.012882270594611138, -0.003251468211670853, 0.0011837175502612861, 0.0001894848773636641, -0.0000615579122842679 ], [ -0.00021779406974833801, -0.0027437170620396743, 0.0027051242858453207, 0.0025008312150688614, -0.0050376328900992836, 0.0016118378966225528, 0.0009088661858429144, -0.00036396551468239474, 0.00004360214209377615 ] ]

DeqciULirKJ5GEAc5WGWRex

{"aspect_ratio": 5.117207059061972, "major_radius": 1.0, "max_elongation": 5.2937029411646614, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.043093836238849666, -0.43896378309544004, 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": [[0.70943654061085, 0.7100344048311551, 0.712723292652234, 0.7180857453148661, 0.726264148257791, 0.7371744317171176, 0.750597645698978, 0.766233626418949, 0.7837363994781872, 0.8027389315266953, 0.8228709324281803, 0.8437717829062091, 0.8650998720285171, 0.8865392003537994, 0.9078038523660437, 0.9286407834541086, 0.9488312618592758, 0.9681912334917215, 0.9865708254330485, 1.0038531653046436, 1.0199526641939274, 1.0348128877526945, 1.0484041216097586, 1.0607207221521915, 1.0717783311771354, 1.0816110222968214, 1.0902684378561924, 1.0978129671728158, 1.104317009890071, 1.1098603619617706, 1.1145277561156588, 1.1184065834613266, 1.1215848181242856, 1.1241491623282978, 1.126183425151203, 1.1277671441934107, 1.1289744555776233, 1.1298732140026586, 1.1305243609656381, 1.130981535708591, 1.1312909199001089, 1.131491303489503, 1.1316143555233, 1.1316850799350464, 1.1317224323354387, 1.131740069538749, 1.131747198812684, 1.131749488392078, 1.1317499942326612, 1.1317500494676598, 1.1317500505483233], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4357102467524991}

5.117207

1

5.293703

[ [ 0.70943654061085, 0.7100344048311551, 0.712723292652234, 0.7180857453148661, 0.726264148257791, 0.7371744317171176, 0.750597645698978, 0.766233626418949, 0.7837363994781872, 0.8027389315266953, 0.8228709324281803, 0.8437717829062091, 0.8650998720285171, 0.8865392003537994, 0.9078038523660437, 0.9286407834541086, 0.9488312618592758, 0.9681912334917215, 0.9865708254330485, 1.0038531653046436, 1.0199526641939274, 1.0348128877526945, 1.0484041216097586, 1.0607207221521915, 1.0717783311771354, 1.0816110222968214, 1.0902684378561924, 1.0978129671728158, 1.104317009890071, 1.1098603619617706, 1.1145277561156588, 1.1184065834613266, 1.1215848181242856, 1.1241491623282978, 1.126183425151203, 1.1277671441934107, 1.1289744555776233, 1.1298732140026586, 1.1305243609656381, 1.130981535708591, 1.1312909199001089, 1.131491303489503, 1.1316143555233, 1.1316850799350464, 1.1317224323354387, 1.131740069538749, 1.131747198812684, 1.131749488392078, 1.1317499942326612, 1.1317500494676598, 1.1317500505483233 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.043093836238849666, -0.43896378309544004, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.43571

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

DJf8tVWf4gfyESkiBjZuiTa

null

false

null

false

DSkmGwc9bfdhUFxcRy8ruB7

D3fgbEbFgPZ5xUFo4iENJMw

{"qi": 0.003473269169011913, "vacuum_well": -0.1462189703234979, "aspect_ratio": 10.137004579084387, "max_elongation": 5.1828310329768605, "average_triangularity": -0.47366696743123515, "axis_magnetic_mirror_ratio": 0.21638326253394027, "edge_magnetic_mirror_ratio": 0.23301883523951017, "aspect_ratio_over_edge_rotational_transform": 19.04604959472199, "flux_compression_in_regions_of_bad_curvature": 1.2979591227397287, "axis_rotational_transform_over_n_field_periods": 0.15428389593749586, "edge_rotational_transform_over_n_field_periods": 0.13305914867896723, "minimum_normalized_magnetic_gradient_scale_length": 6.802445186777293}

10.137005

19.04605

-0.663861

0.216383

0.154284

0.233019

0.133059

1.297959

5.182831

6.802445

0.003473

-0.146219

{"r_cos":[[0.0,0.0,0.0,0.0,0.9995634514542927,0.03298266864955214,-0.011153337407642102,-0.001922534692345301,-0.0006720212498647966],[-0.00003081315367175645,-0.001334497094459002,-0.01516353177280081,-0.04482665342869896,0.11447882069000478,-0.002914418857758099,-0.004317704813710338,-0.00012848362512939116,-0.000200165873209661],[-0.00048421253248803536,-0.002431665788702895,-0.001195651280780466,-0.005325186189045557,-0.007342924125840985,0.016712263714268386,-0.007004822329178616,0.0014311737513268803,-0.0003392756824823074],[0.000346652940284427,0.0010560805853449845,-0.000600495999702319,-0.003238863263019363,0.0016857470392857017,-0.000617933664570325,0.00016182309737174867,0.00026082092641362565,-0.00025052976164551157],[0.000014945803825237909,-0.0000925290253443823,-0.0001533928505935289,0.00045797962422014385,0.0002892270918848049,-0.0009865470490572508,0.0006470159385132624,-0.00006034753807727147,-0.00006262546018886978]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07710112988341966,0.0018221215664571517,0.0012270372984363627,0.0007689152476119885],[-0.0003260359132648326,-0.0008553866497778384,-0.008653588900370449,-0.08169377742285272,-0.12841872269084073,0.0469368030109342,-0.004292033724101611,0.001222409977465751,0.00007860995668646539],[-0.0006744379407945477,-0.0029039684028457973,0.00033044927341681465,0.010149027655242497,-0.04074764572522418,0.016296508893321383,-0.00026209769502794116,-0.00041623797751117624,0.00010611964433205787],[0.000050493235000603076,0.0015904055636587343,0.0020212411659605565,0.0009045617136105829,-0.008052176425082568,0.005828353611549274,-0.0015643085573101298,0.00023892581728290668,0.00009847850235177101],[-0.00005709864563947212,-0.000128780552368697,-0.00015414844762666512,0.0005377988846532722,0.00021371391178359042,0.0001787809999912518,-0.00037037094393863696,0.00014977716202753389,0.000016021715032743584]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9995634514542927, 0.03298266864955214, -0.011153337407642102, -0.001922534692345301, -0.0006720212498647966 ], [ -0.00003081315367175645, -0.001334497094459002, -0.01516353177280081, -0.04482665342869896, 0.11447882069000478, -0.002914418857758099, -0.004317704813710338, -0.00012848362512939116, -0.000200165873209661 ], [ -0.00048421253248803536, -0.002431665788702895, -0.001195651280780466, -0.005325186189045557, -0.007342924125840985, 0.016712263714268386, -0.007004822329178616, 0.0014311737513268803, -0.0003392756824823074 ], [ 0.000346652940284427, 0.0010560805853449845, -0.000600495999702319, -0.003238863263019363, 0.0016857470392857017, -0.000617933664570325, 0.00016182309737174867, 0.00026082092641362565, -0.00025052976164551157 ], [ 0.000014945803825237909, -0.0000925290253443823, -0.0001533928505935289, 0.00045797962422014385, 0.0002892270918848049, -0.0009865470490572508, 0.0006470159385132624, -0.00006034753807727147, -0.00006262546018886978 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07710112988341966, 0.0018221215664571517, 0.0012270372984363627, 0.0007689152476119885 ], [ -0.0003260359132648326, -0.0008553866497778384, -0.008653588900370449, -0.08169377742285272, -0.12841872269084073, 0.0469368030109342, -0.004292033724101611, 0.001222409977465751, 0.00007860995668646539 ], [ -0.0006744379407945477, -0.0029039684028457973, 0.00033044927341681465, 0.010149027655242497, -0.04074764572522418, 0.016296508893321383, -0.00026209769502794116, -0.00041623797751117624, 0.00010611964433205787 ], [ 0.000050493235000603076, 0.0015904055636587343, 0.0020212411659605565, 0.0009045617136105829, -0.008052176425082568, 0.005828353611549274, -0.0015643085573101298, 0.00023892581728290668, 0.00009847850235177101 ], [ -0.00005709864563947212, -0.000128780552368697, -0.00015414844762666512, 0.0005377988846532722, 0.00021371391178359042, 0.0001787809999912518, -0.00037037094393863696, 0.00014977716202753389, 0.000016021715032743584 ] ]

DKvdzno44xeFogDJwyB2US9

{"aspect_ratio": 10.947787693037675, "major_radius": 1.0, "max_elongation": 5.080657211237305, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.1431138653806809, -0.23008766529172253, 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": [[0.8312847693419814, 0.8312847773452823, 0.8312851104700765, 0.8312877778850098, 0.8312986840182232, 0.8313299377418403, 0.8314019378087734, 0.8315450637372481, 0.8318008729754619, 0.8322227497370206, 0.8328759822914008, 0.83383726917527, 0.8351936734122268, 0.8370410588567551, 0.8394820550971104, 0.8426236075288611, 0.8465741776268391, 0.8514406653625333, 0.857325131323636, 0.8643214005263216, 0.8725116332641089, 0.8819629506757692, 0.8927242040814262, 0.9048229775540099, 0.9182629126686253, 0.9330214428950148, 0.9490480226418364, 0.9662629324825618, 0.9845567375291088, 1.0037904701866023, 1.0237966015101987, 1.044380856949312, 1.0653249222207637, 1.0863900731609515, 1.1073217493565033, 1.127855074732996, 1.1477213085454916, 1.166655186621373, 1.184403084229859, 1.2007318971418617, 1.215438494187366, 1.2283595397463496, 1.2393814131881076, 1.2484498562711164, 1.2555788451525633, 1.2608579857113933, 1.2644574192565463, 1.2666286895720482, 1.267698977276336, 1.26805363632981, 1.2680934025981172], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6823732246230837}

10.947788

1

5.080657

[ [ 0.8312847693419814, 0.8312847773452823, 0.8312851104700765, 0.8312877778850098, 0.8312986840182232, 0.8313299377418403, 0.8314019378087734, 0.8315450637372481, 0.8318008729754619, 0.8322227497370206, 0.8328759822914008, 0.83383726917527, 0.8351936734122268, 0.8370410588567551, 0.8394820550971104, 0.8426236075288611, 0.8465741776268391, 0.8514406653625333, 0.857325131323636, 0.8643214005263216, 0.8725116332641089, 0.8819629506757692, 0.8927242040814262, 0.9048229775540099, 0.9182629126686253, 0.9330214428950148, 0.9490480226418364, 0.9662629324825618, 0.9845567375291088, 1.0037904701866023, 1.0237966015101987, 1.044380856949312, 1.0653249222207637, 1.0863900731609515, 1.1073217493565033, 1.127855074732996, 1.1477213085454916, 1.166655186621373, 1.184403084229859, 1.2007318971418617, 1.215438494187366, 1.2283595397463496, 1.2393814131881076, 1.2484498562711164, 1.2555788451525633, 1.2608579857113933, 1.2644574192565463, 1.2666286895720482, 1.267698977276336, 1.26805363632981, 1.2680934025981172 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.1431138653806809, -0.23008766529172253, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.682373

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

DJRW399mRcTUbeKsj2cKqwe

null

false

null

false

D2N2Jnb5kywk5eB4wt3qbea

DjpdgewF5bGyKZku77vZTCr

{"qi": 0.0035089378437917996, "vacuum_well": -0.14043452906806475, "aspect_ratio": 9.877231409078517, "max_elongation": 5.813432257202495, "average_triangularity": -0.5844541503790154, "axis_magnetic_mirror_ratio": 0.28503313859121987, "edge_magnetic_mirror_ratio": 0.3034407377297967, "aspect_ratio_over_edge_rotational_transform": 26.23260816718218, "flux_compression_in_regions_of_bad_curvature": 1.3306162752783388, "axis_rotational_transform_over_n_field_periods": 0.15260572204456443, "edge_rotational_transform_over_n_field_periods": 0.18826247367646892, "minimum_normalized_magnetic_gradient_scale_length": 5.001097350991176}

9.877231

26.232608

-1.004662

0.285033

0.152606

0.303441

0.188262

1.330616

5.813432

5.001097

0.003509

-0.140435

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.020924752721104816,-0.05270498927015262,-0.0013731550743055392,0.002507436385529204],[-0.0014570301799536364,-0.005751912038406078,0.04896031251192665,-0.03468044758538152,0.07210284520829596,-0.008309793779495813,-0.026199755017707736,-0.002636615233768078,0.0003707692093241527],[-0.0006287781161201616,0.006107364438501827,-0.007794917387084141,-0.010386720606169658,-0.01979166467707843,-0.002967300535858558,-0.0027081209451304475,0.0012390829500815107,-9.79008724265551e-6],[0.00027335064615031837,-0.0010360782405102117,-0.0007720116430898256,0.000581669403476047,0.006241692946944906,0.003382896468120093,0.001882901229414249,-0.000018858656402802082,-0.00016315412170786123],[-0.000163200257053266,-0.00006463120736074218,-0.0001358993552789579,0.0005557882894547282,0.000824516332823798,0.00048070452010459414,-0.00041411118511704365,-0.00019988784001894258,-0.00007481343578346626]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.028509065278748122,0.03518354815394746,0.003422488894150664,-0.0029603511177739563],[0.0010714262296408436,-0.011229987344998546,0.040966536343637644,-0.019615234044065958,-0.18277359895953607,0.007509023217570979,0.008420003499540685,-0.004380304772031534,-0.0007439589114384957],[-0.0009734243391787936,0.00816037043589947,-0.015819560583154556,0.017515225535321713,-0.01347751978290275,0.003954197906133953,0.007037042767734928,-0.001471879805552914,-0.000018128483273386058],[-0.0001905649240777512,-0.00001393149199344309,-0.0022831217162028127,0.009851495748710602,-0.0014443233099353636,-0.003818102684842321,-0.0005960565699499957,0.0000899381539905962,-0.00004813074132880787],[0.000040551384194110226,-0.0004875619542573296,0.0007575003096219731,0.001248051055758956,-0.0003976127965231048,-0.0013395365989565884,0.000014462034091203952,0.00017737495561930333,0.00005315217041916098]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.020924752721104816, -0.05270498927015262, -0.0013731550743055392, 0.002507436385529204 ], [ -0.0014570301799536364, -0.005751912038406078, 0.04896031251192665, -0.03468044758538152, 0.07210284520829596, -0.008309793779495813, -0.026199755017707736, -0.002636615233768078, 0.0003707692093241527 ], [ -0.0006287781161201616, 0.006107364438501827, -0.007794917387084141, -0.010386720606169658, -0.01979166467707843, -0.002967300535858558, -0.0027081209451304475, 0.0012390829500815107, -0.00000979008724265551 ], [ 0.00027335064615031837, -0.0010360782405102117, -0.0007720116430898256, 0.000581669403476047, 0.006241692946944906, 0.003382896468120093, 0.001882901229414249, -0.000018858656402802082, -0.00016315412170786123 ], [ -0.000163200257053266, -0.00006463120736074218, -0.0001358993552789579, 0.0005557882894547282, 0.000824516332823798, 0.00048070452010459414, -0.00041411118511704365, -0.00019988784001894258, -0.00007481343578346626 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.028509065278748122, 0.03518354815394746, 0.003422488894150664, -0.0029603511177739563 ], [ 0.0010714262296408436, -0.011229987344998546, 0.040966536343637644, -0.019615234044065958, -0.18277359895953607, 0.007509023217570979, 0.008420003499540685, -0.004380304772031534, -0.0007439589114384957 ], [ -0.0009734243391787936, 0.00816037043589947, -0.015819560583154556, 0.017515225535321713, -0.01347751978290275, 0.003954197906133953, 0.007037042767734928, -0.001471879805552914, -0.000018128483273386058 ], [ -0.0001905649240777512, -0.00001393149199344309, -0.0022831217162028127, 0.009851495748710602, -0.0014443233099353636, -0.003818102684842321, -0.0005960565699499957, 0.0000899381539905962, -0.00004813074132880787 ], [ 0.000040551384194110226, -0.0004875619542573296, 0.0007575003096219731, 0.001248051055758956, -0.0003976127965231048, -0.0013395365989565884, 0.000014462034091203952, 0.00017737495561930333, 0.00005315217041916098 ] ]

DjMRnum5Cp7FgrvqAXk6eta

{"aspect_ratio": 10.65717602978744, "major_radius": 1.0, "max_elongation": 5.726080115731353, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.056760826523690355, -0.29295891127578, 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": [[0.7638411012279958, 0.7638411249820779, 0.7638420121117478, 0.7638486365296899, 0.763874353154609, 0.7639450495136234, 0.7641023020813466, 0.764405457229792, 0.7649325812469083, 0.7657802949705089, 0.7670625544865622, 0.7689084707877281, 0.7714592833897327, 0.7748646184432118, 0.7792781725183439, 0.7848529700382783, 0.7917363460046867, 0.8000648066880868, 0.809958919699255, 0.8215183815723011, 0.8348174058627266, 0.8499005679324848, 0.8667792341572547, 0.8854286933162873, 0.9057860964534499, 0.9277492985475322, 0.9511766808969314, 0.9758880171836202, 1.0016664286868313, 1.028261454996933, 1.0553932457356456, 1.082757856088366, 1.11003360422593, 1.1368884217139497, 1.162988098489334, 1.1880052915501897, 1.211629130663046, 1.233575214482204, 1.2535957456077766, 1.2714895020470958, 1.2871112835371719, 1.3003804016758251, 1.3112876989283944, 1.3199004772318261, 1.3263645820174204, 1.3309027042528325, 1.3338076977818485, 1.3354292907605156, 1.3361518265292767, 1.3363590872555702, 1.3363775247152452], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3714074109670912}

10.657176

1

5.72608

[ [ 0.7638411012279958, 0.7638411249820779, 0.7638420121117478, 0.7638486365296899, 0.763874353154609, 0.7639450495136234, 0.7641023020813466, 0.764405457229792, 0.7649325812469083, 0.7657802949705089, 0.7670625544865622, 0.7689084707877281, 0.7714592833897327, 0.7748646184432118, 0.7792781725183439, 0.7848529700382783, 0.7917363460046867, 0.8000648066880868, 0.809958919699255, 0.8215183815723011, 0.8348174058627266, 0.8499005679324848, 0.8667792341572547, 0.8854286933162873, 0.9057860964534499, 0.9277492985475322, 0.9511766808969314, 0.9758880171836202, 1.0016664286868313, 1.028261454996933, 1.0553932457356456, 1.082757856088366, 1.11003360422593, 1.1368884217139497, 1.162988098489334, 1.1880052915501897, 1.211629130663046, 1.233575214482204, 1.2535957456077766, 1.2714895020470958, 1.2871112835371719, 1.3003804016758251, 1.3112876989283944, 1.3199004772318261, 1.3263645820174204, 1.3309027042528325, 1.3338076977818485, 1.3354292907605156, 1.3361518265292767, 1.3363590872555702, 1.3363775247152452 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.056760826523690355, -0.29295891127578, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.371407

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

Df3mPyk2xMizw5vcr7cEiLC

null

false

null

false

D5r56DqQ3QVr7w65gxVBjV8

D5n6ieK4wkCA2fZWPxmgnTo

{"qi": 0.04250428128264876, "vacuum_well": -0.10499313486642901, "aspect_ratio": 9.324016996553839, "max_elongation": 3.531688629169005, "average_triangularity": 0.09862502138078241, "axis_magnetic_mirror_ratio": 0.23752963199562796, "edge_magnetic_mirror_ratio": 0.4717096468350589, "aspect_ratio_over_edge_rotational_transform": 16.43032603932275, "flux_compression_in_regions_of_bad_curvature": 0.8069124044402328, "axis_rotational_transform_over_n_field_periods": 0.1015719477938426, "edge_rotational_transform_over_n_field_periods": 0.14187206288905405, "minimum_normalized_magnetic_gradient_scale_length": 0.007154118511478482}

9.324017

16.430326

-0.34366

0.23753

0.101572

0.47171

0.141872

0.806912

3.531689

0.007154

0.042504

-0.104993

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.04253285441753726,-0.020938594428365258,-0.0076717112298304345,0.002418457994982658],[-0.0015253469567024515,-0.000842981986500912,0.02181245037002388,-0.016851395952137593,0.08905997242440349,-0.011138789772566963,0.0032952611719773983,0.00027385018554984146,-0.00039118827493087353],[0.00009536946119431127,0.0013336244072728858,-0.01611516183202092,0.0024833158653541645,-0.01583772217258332,0.002062906526632676,-0.0012814403113410545,0.0011622331415183079,-0.0005688718711803554],[0.0006942905182989794,-0.0011996748986883013,0.004979721989646619,0.0016077143440350425,0.0006866344763112442,0.0006795318689244414,0.0009053878670105668,-0.0003391862803379083,0.00010409906761574272],[-0.0004154184925405658,0.0007818173362523227,-0.0008176900853430936,0.00031916747391531604,-0.0002410374882426602,0.0003865383876123379,0.00018316487375527374,-0.00010124102918326883,0.00009019864496107578]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.002657287439636049,-0.01242849679238407,0.0004695478980167238,-0.00016148814120199066],[-0.002749147206729593,0.0018449259070183696,0.04159489185570314,-0.002950578822033369,-0.12267978215183994,-0.00737623925046289,0.0027257025073053644,-0.0022356543714247387,0.00034950337452140275],[0.00010002999974965173,-0.000302336778064497,-0.003555006533839868,-0.010247286406874055,0.037499191396105004,-0.0027160089235303358,-0.003360469541735064,-0.000056635484999999284,0.0006297419388116124],[-0.0003436542558777126,-0.00006697934604766304,0.007690688308646167,0.0037495291435485495,-0.0016628594240858953,0.0028729842744822584,-0.0015568274815644279,0.0005094839776222418,-0.00023954358050281476],[-0.0005262596814129984,0.0007216601686939944,-0.0016446643657866346,0.001086465724975568,0.0004224003494380517,-0.0008476717179081992,0.000022955367937311003,-0.00017796964416631593,0.000046851018609959564]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.04253285441753726, -0.020938594428365258, -0.0076717112298304345, 0.002418457994982658 ], [ -0.0015253469567024515, -0.000842981986500912, 0.02181245037002388, -0.016851395952137593, 0.08905997242440349, -0.011138789772566963, 0.0032952611719773983, 0.00027385018554984146, -0.00039118827493087353 ], [ 0.00009536946119431127, 0.0013336244072728858, -0.01611516183202092, 0.0024833158653541645, -0.01583772217258332, 0.002062906526632676, -0.0012814403113410545, 0.0011622331415183079, -0.0005688718711803554 ], [ 0.0006942905182989794, -0.0011996748986883013, 0.004979721989646619, 0.0016077143440350425, 0.0006866344763112442, 0.0006795318689244414, 0.0009053878670105668, -0.0003391862803379083, 0.00010409906761574272 ], [ -0.0004154184925405658, 0.0007818173362523227, -0.0008176900853430936, 0.00031916747391531604, -0.0002410374882426602, 0.0003865383876123379, 0.00018316487375527374, -0.00010124102918326883, 0.00009019864496107578 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.002657287439636049, -0.01242849679238407, 0.0004695478980167238, -0.00016148814120199066 ], [ -0.002749147206729593, 0.0018449259070183696, 0.04159489185570314, -0.002950578822033369, -0.12267978215183994, -0.00737623925046289, 0.0027257025073053644, -0.0022356543714247387, 0.00034950337452140275 ], [ 0.00010002999974965173, -0.000302336778064497, -0.003555006533839868, -0.010247286406874055, 0.037499191396105004, -0.0027160089235303358, -0.003360469541735064, -0.000056635484999999284, 0.0006297419388116124 ], [ -0.0003436542558777126, -0.00006697934604766304, 0.007690688308646167, 0.0037495291435485495, -0.0016628594240858953, 0.0028729842744822584, -0.0015568274815644279, 0.0005094839776222418, -0.00023954358050281476 ], [ -0.0005262596814129984, 0.0007216601686939944, -0.0016446643657866346, 0.001086465724975568, 0.0004224003494380517, -0.0008476717179081992, 0.000022955367937311003, -0.00017796964416631593, 0.000046851018609959564 ] ]

D6oVobHKnAWK4v2ZfJ4P9X4

{"aspect_ratio": 7.485643318096135, "major_radius": 1.0, "max_elongation": 4.6283395940309076, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2286246607635613, 0.1905960579271634, 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": [[0.8697183308869549, 0.8697193314318727, 0.8697314428064309, 0.8697768533644921, 0.8698863542520431, 0.8700970789104323, 0.8704508355063005, 0.8709927382966797, 0.8717700280998714, 0.8728310272880379, 0.8742241979572363, 0.8759972835702803, 0.8781965208994, 0.8808659130747369, 0.8840465571280506, 0.8877760211879638, 0.8920877677472686, 0.8970106203650743, 0.9025682718967888, 0.908778832933157, 0.9156544196225522, 0.9232007804810936, 0.9314169621870072, 0.94029501472785, 0.9498197366376817, 0.9599684614406199, 0.9707108868220007, 0.9820089484943293, 0.993816741230505, 1.0060804901235523, 1.0187385758283036, 1.0317216183827929, 1.044952625244714, 1.0583472104786082, 1.0718138936870039, 1.0852544894287592, 1.0985646007081442, 1.1116342339448209, 1.1243485581028712, 1.136588838086117, 1.1482335832738302, 1.1591599681736011, 1.1692456071523718, 1.1783708057028153, 1.1864214799146753, 1.1932930621717284, 1.1988959621218986, 1.2031637106672366, 1.2060663784467816, 1.2076368568642342, 1.2080494922484306], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4642218563232297}

7.485643

1

4.62834

[ [ 0.8697183308869549, 0.8697193314318727, 0.8697314428064309, 0.8697768533644921, 0.8698863542520431, 0.8700970789104323, 0.8704508355063005, 0.8709927382966797, 0.8717700280998714, 0.8728310272880379, 0.8742241979572363, 0.8759972835702803, 0.8781965208994, 0.8808659130747369, 0.8840465571280506, 0.8877760211879638, 0.8920877677472686, 0.8970106203650743, 0.9025682718967888, 0.908778832933157, 0.9156544196225522, 0.9232007804810936, 0.9314169621870072, 0.94029501472785, 0.9498197366376817, 0.9599684614406199, 0.9707108868220007, 0.9820089484943293, 0.993816741230505, 1.0060804901235523, 1.0187385758283036, 1.0317216183827929, 1.044952625244714, 1.0583472104786082, 1.0718138936870039, 1.0852544894287592, 1.0985646007081442, 1.1116342339448209, 1.1243485581028712, 1.136588838086117, 1.1482335832738302, 1.1591599681736011, 1.1692456071523718, 1.1783708057028153, 1.1864214799146753, 1.1932930621717284, 1.1988959621218986, 1.2031637106672366, 1.2060663784467816, 1.2076368568642342, 1.2080494922484306 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2286246607635613, 0.1905960579271634, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.464222

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

D6rjE3V4YJR7eHsvnbq3ydi

null

false

null

false

D3rrkexqGPBkNUXSxff5E8U

DVpocmYNyaLYTZ86JPYxgLR

{"qi": 0.05134436339691077, "vacuum_well": -0.08491515341690692, "aspect_ratio": 7.855991017817346, "max_elongation": 4.774782011701014, "average_triangularity": -0.4242295224636221, "axis_magnetic_mirror_ratio": 0.5250796056207534, "edge_magnetic_mirror_ratio": 0.9015671934607512, "aspect_ratio_over_edge_rotational_transform": 9.737485815764769, "flux_compression_in_regions_of_bad_curvature": 1.230912672561393, "axis_rotational_transform_over_n_field_periods": 0.28665212607897955, "edge_rotational_transform_over_n_field_periods": 0.2016945432952178, "minimum_normalized_magnetic_gradient_scale_length": 2.249636924266159}

7.855991

9.737486

-0.542543

0.52508

0.286652

0.901567

0.201695

1.230913

4.774782

2.249637

0.051344

-0.084915

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.2329713073517704,-0.04413279945034454,-0.018723896476723963,0.0019180675870608592],[-0.001276694087294571,0.018900776211382645,0.048255348695199804,-0.000988221890363239,0.12418434768479708,-0.03790720632811532,0.0034076411542111225,0.0044266300653191815,-0.00011225846628078445],[0.0005878032617166207,-0.009845874348193381,-0.017897164872791114,0.008532544192548536,-0.005278181832061118,-0.006896562947415973,0.0015370791975332192,-0.0006754865700827686,-0.0005880840491129668],[0.00010001150965542375,0.0023939447867637525,0.0010384617893291334,0.0013547642551445531,0.001536852669940367,-0.002612758532916252,0.0017089468010940212,-0.0003821220529607518,0.00011171683506868607],[-0.0003018516258620549,-0.0001835876579788682,0.000044382072630344735,-0.0003151134076590965,-0.00013643372860869948,0.00023152352711487537,-0.0000449111842556701,-0.00004659662787464403,-0.00006399506228094696]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07311998987885016,0.034738225844218165,0.006489295232531171,0.002945369176940145],[0.0036583381989512376,0.02348193140652252,0.0462398039731739,-0.0156709423321263,-0.1394516968627288,0.0187063898871679,-0.00367187014506707,-0.00023881025259961733,-0.002491341832780459],[-0.004439546618972371,-0.018047827561698048,-0.005632656261495273,0.0101852141821674,-0.009490225604959157,-0.0005143956431807369,0.007856174522602106,-0.003381359067717406,0.0015920925739593976],[0.0013251307870560496,0.0021812301843217438,-0.005773305636609544,-0.002084346228786247,-0.0034293529263394198,0.0018334640839230514,-0.0009896103253602623,0.0003530656348099464,-0.000316754798311001],[-0.0001388673731744952,0.00007387359754844943,0.0013549634259435788,-0.0006921029569965628,0.0010999659730049605,-0.0008178214742737357,0.00043368776073726776,-0.0003581568061090652,0.00025924784829809257]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.2329713073517704, -0.04413279945034454, -0.018723896476723963, 0.0019180675870608592 ], [ -0.001276694087294571, 0.018900776211382645, 0.048255348695199804, -0.000988221890363239, 0.12418434768479708, -0.03790720632811532, 0.0034076411542111225, 0.0044266300653191815, -0.00011225846628078445 ], [ 0.0005878032617166207, -0.009845874348193381, -0.017897164872791114, 0.008532544192548536, -0.005278181832061118, -0.006896562947415973, 0.0015370791975332192, -0.0006754865700827686, -0.0005880840491129668 ], [ 0.00010001150965542375, 0.0023939447867637525, 0.0010384617893291334, 0.0013547642551445531, 0.001536852669940367, -0.002612758532916252, 0.0017089468010940212, -0.0003821220529607518, 0.00011171683506868607 ], [ -0.0003018516258620549, -0.0001835876579788682, 0.000044382072630344735, -0.0003151134076590965, -0.00013643372860869948, 0.00023152352711487537, -0.0000449111842556701, -0.00004659662787464403, -0.00006399506228094696 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07311998987885016, 0.034738225844218165, 0.006489295232531171, 0.002945369176940145 ], [ 0.0036583381989512376, 0.02348193140652252, 0.0462398039731739, -0.0156709423321263, -0.1394516968627288, 0.0187063898871679, -0.00367187014506707, -0.00023881025259961733, -0.002491341832780459 ], [ -0.004439546618972371, -0.018047827561698048, -0.005632656261495273, 0.0101852141821674, -0.009490225604959157, -0.0005143956431807369, 0.007856174522602106, -0.003381359067717406, 0.0015920925739593976 ], [ 0.0013251307870560496, 0.0021812301843217438, -0.005773305636609544, -0.002084346228786247, -0.0034293529263394198, 0.0018334640839230514, -0.0009896103253602623, 0.0003530656348099464, -0.000316754798311001 ], [ -0.0001388673731744952, 0.00007387359754844943, 0.0013549634259435788, -0.0006921029569965628, 0.0010999659730049605, -0.0008178214742737357, 0.00043368776073726776, -0.0003581568061090652, 0.00025924784829809257 ] ]

DCJByZqVvkXQubhyyr2qR5r

{"aspect_ratio": 7.199674675541326, "major_radius": 1.0, "max_elongation": 4.443313226987215, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.23178633759481188, -0.2908223634657245, 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": [[0.8308514087741855, 0.8308658673211393, 0.8310144931926261, 0.8315038348439844, 0.832557858869472, 0.8343859707156568, 0.8371657814027128, 0.8410338333721195, 0.8460814240620419, 0.8523539148677661, 0.8598524796555875, 0.8685375560268725, 0.8783334526792813, 0.8891336936971261, 0.9008067717252844, 0.9132020503881961, 0.9261556096701089, 0.9394958708557194, 0.953048872923496, 0.966643101878556, 0.98011379969432, 0.9933067012039127, 1.006081166091948, 1.0183126895616945, 1.0298947896486923, 1.0407402817911147, 1.0507819623583798, 1.0599727325447166, 1.0682852024797422, 1.0757108226918384, 1.0822585962578588, 1.087953430141672, 1.0928341884056039, 1.0969515132003993, 1.1003654817154012, 1.1031431686032231, 1.1053561837714385, 1.1070782548330156, 1.1083829218868737, 1.1093414096005036, 1.1100207377046327, 1.1104821258705966, 1.1107797423663972, 1.1109598376576364, 1.111060293922304, 1.111110608825238, 1.1111323161451494, 1.1111398258157599, 1.111141639591809, 1.1111418617678375, 1.1111418669283561], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1052561610276475}

7.199675

1

4.443313

[ [ 0.8308514087741855, 0.8308658673211393, 0.8310144931926261, 0.8315038348439844, 0.832557858869472, 0.8343859707156568, 0.8371657814027128, 0.8410338333721195, 0.8460814240620419, 0.8523539148677661, 0.8598524796555875, 0.8685375560268725, 0.8783334526792813, 0.8891336936971261, 0.9008067717252844, 0.9132020503881961, 0.9261556096701089, 0.9394958708557194, 0.953048872923496, 0.966643101878556, 0.98011379969432, 0.9933067012039127, 1.006081166091948, 1.0183126895616945, 1.0298947896486923, 1.0407402817911147, 1.0507819623583798, 1.0599727325447166, 1.0682852024797422, 1.0757108226918384, 1.0822585962578588, 1.087953430141672, 1.0928341884056039, 1.0969515132003993, 1.1003654817154012, 1.1031431686032231, 1.1053561837714385, 1.1070782548330156, 1.1083829218868737, 1.1093414096005036, 1.1100207377046327, 1.1104821258705966, 1.1107797423663972, 1.1109598376576364, 1.111060293922304, 1.111110608825238, 1.1111323161451494, 1.1111398258157599, 1.111141639591809, 1.1111418617678375, 1.1111418669283561 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.23178633759481188, -0.2908223634657245, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.105256

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

D9xh8SNDzQTorykzkoiedMn

null

false

null

false

DoGoCVAFExjMmk4JNAxvGV8

DGP5WaQKawgUvqujnNhbZZK

{"qi": 0.0008345976348973077, "vacuum_well": -0.16108027839966435, "aspect_ratio": 9.579820773472827, "max_elongation": 7.516600561592968, "average_triangularity": -0.5884888641803423, "axis_magnetic_mirror_ratio": 0.38957651731019527, "edge_magnetic_mirror_ratio": 0.4202298173008947, "aspect_ratio_over_edge_rotational_transform": 19.7281246239029, "flux_compression_in_regions_of_bad_curvature": 1.2610264509801257, "axis_rotational_transform_over_n_field_periods": 0.11047473532809574, "edge_rotational_transform_over_n_field_periods": 0.0971184129875758, "minimum_normalized_magnetic_gradient_scale_length": 7.259439640591998}

9.579821

19.728125

-1.026181

0.389577

0.110475

0.42023

0.097118

1.261026

7.516601

7.25944

0.000835

-0.16108

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.008312916362052487,-0.002709464168890437,-0.0013058060211491322,0.0005976217087007452],[-0.0005894052867706495,-0.000021905467050018792,-0.008127071163296137,-0.06727275526812584,0.08133409429447669,0.029876807746308843,-0.001066475786174823,0.001850559403031157,0.00010215309116415352],[-0.00004762695771425135,-0.0010614335289855035,-0.003997930027077744,-0.0018564200452735552,-0.012428071365408822,0.005166100461549141,-0.0012987559598493512,0.00041417626629798105,0.0002658960653148829],[-0.00019998208863794987,0.001231294091092666,-0.0004779581932516007,-0.0031035411425871127,0.0010058718036282588,-0.0026870854077267504,-0.0006972590149991947,-0.00024034971758266218,-0.000048389788001196535],[0.00020108151386080393,-0.00006712169432868359,-0.000015491199724712346,-0.0005417932411751335,-0.0004718606883521779,0.0004891976456879558,-0.00042688196201756895,0.000023222431756198538,-0.00005920444763676081]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.05010027874281469,-0.0023422078376456076,0.0008206004008234267,-0.0008391289521038521],[-0.00005828523760785605,0.0027490332866100323,0.013507387509727,-0.03921086410835596,-0.18560905013666715,0.017240275611637865,-0.004879685814073377,-0.0008620621201644325,0.00016867098493163546],[-0.0009749805000775094,-0.002060038335239198,-0.00506903251509563,0.027821593759272213,-0.04135589760712187,-0.005221039900024463,0.0001982186580741542,-0.002069039396082097,0.00002410267057722875],[-0.00048370275566906565,-0.00026860081282742854,-0.0005180575520083117,0.005549138545035201,-0.0015093286811280547,-0.0006162416262511907,-0.0003808053029265357,-0.00032466331148225686,-0.0003119274638807524],[0.0003512109761773185,-0.0008661648493797107,0.0009664406916950536,-0.00019095469111259122,0.0004917592958912006,0.000029398803535244885,-0.0002734017213318402,0.0001661206906863123,-0.00014326126055602407]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.008312916362052487, -0.002709464168890437, -0.0013058060211491322, 0.0005976217087007452 ], [ -0.0005894052867706495, -0.000021905467050018792, -0.008127071163296137, -0.06727275526812584, 0.08133409429447669, 0.029876807746308843, -0.001066475786174823, 0.001850559403031157, 0.00010215309116415352 ], [ -0.00004762695771425135, -0.0010614335289855035, -0.003997930027077744, -0.0018564200452735552, -0.012428071365408822, 0.005166100461549141, -0.0012987559598493512, 0.00041417626629798105, 0.0002658960653148829 ], [ -0.00019998208863794987, 0.001231294091092666, -0.0004779581932516007, -0.0031035411425871127, 0.0010058718036282588, -0.0026870854077267504, -0.0006972590149991947, -0.00024034971758266218, -0.000048389788001196535 ], [ 0.00020108151386080393, -0.00006712169432868359, -0.000015491199724712346, -0.0005417932411751335, -0.0004718606883521779, 0.0004891976456879558, -0.00042688196201756895, 0.000023222431756198538, -0.00005920444763676081 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.05010027874281469, -0.0023422078376456076, 0.0008206004008234267, -0.0008391289521038521 ], [ -0.00005828523760785605, 0.0027490332866100323, 0.013507387509727, -0.03921086410835596, -0.18560905013666715, 0.017240275611637865, -0.004879685814073377, -0.0008620621201644325, 0.00016867098493163546 ], [ -0.0009749805000775094, -0.002060038335239198, -0.00506903251509563, 0.027821593759272213, -0.04135589760712187, -0.005221039900024463, 0.0001982186580741542, -0.002069039396082097, 0.00002410267057722875 ], [ -0.00048370275566906565, -0.00026860081282742854, -0.0005180575520083117, 0.005549138545035201, -0.0015093286811280547, -0.0006162416262511907, -0.0003808053029265357, -0.00032466331148225686, -0.0003119274638807524 ], [ 0.0003512109761773185, -0.0008661648493797107, 0.0009664406916950536, -0.00019095469111259122, 0.0004917592958912006, 0.000029398803535244885, -0.0002734017213318402, 0.0001661206906863123, -0.00014326126055602407 ] ]

DSu23MdPSEevWZrZ85CoR6T

{"aspect_ratio": 10.141737372552498, "major_radius": 1.0, "max_elongation": 6.990403831700171, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.181293009163288, -0.19036925644127095, 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": [[0.7167883965588242, 0.716788412582328, 0.716788925014844, 0.7167924476240135, 0.7168054807252224, 0.716840316592394, 0.7169166345981691, 0.7170628663279172, 0.7173173191843636, 0.7177290510798408, 0.7183584912495089, 0.7192778038530544, 0.7205709922244529, 0.7223337425588358, 0.7246730065918842, 0.7277063234906773, 0.7315608817747421, 0.7363723226496539, 0.7422832866836284, 0.749441706307082, 0.7579988471811351, 0.7681071020779582, 0.7799175415586339, 0.793577226439248, 0.8092262878220772, 0.8269947813585614, 0.8469993234318896, 0.8693395181342336, 0.8940941853113753, 0.9213174016134874, 0.9510343685015122, 0.9832371236163531, 1.017880114962564, 1.0548756611827623, 1.0940893260763782, 1.1353352418387368, 1.178371423839796, 1.2228951309920966, 1.2685383412115772, 1.314863433279041, 1.3613591980625883, 1.407437349547595, 1.452429780159234, 1.4955869257126588, 1.5360778138595512, 1.5729927554760956, 1.6053504174893156, 1.6321127888510771, 1.6522163424338387, 1.6646448253214294, 1.6686910149857634], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5265749876315179}

10.141737

1

6.990404

[ [ 0.7167883965588242, 0.716788412582328, 0.716788925014844, 0.7167924476240135, 0.7168054807252224, 0.716840316592394, 0.7169166345981691, 0.7170628663279172, 0.7173173191843636, 0.7177290510798408, 0.7183584912495089, 0.7192778038530544, 0.7205709922244529, 0.7223337425588358, 0.7246730065918842, 0.7277063234906773, 0.7315608817747421, 0.7363723226496539, 0.7422832866836284, 0.749441706307082, 0.7579988471811351, 0.7681071020779582, 0.7799175415586339, 0.793577226439248, 0.8092262878220772, 0.8269947813585614, 0.8469993234318896, 0.8693395181342336, 0.8940941853113753, 0.9213174016134874, 0.9510343685015122, 0.9832371236163531, 1.017880114962564, 1.0548756611827623, 1.0940893260763782, 1.1353352418387368, 1.178371423839796, 1.2228951309920966, 1.2685383412115772, 1.314863433279041, 1.3613591980625883, 1.407437349547595, 1.452429780159234, 1.4955869257126588, 1.5360778138595512, 1.5729927554760956, 1.6053504174893156, 1.6321127888510771, 1.6522163424338387, 1.6646448253214294, 1.6686910149857634 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.181293009163288, -0.19036925644127095, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.526575

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

D7o3WVrTCMhJhwdzZAtA5E4

null

false

null

false

DRK3zFFiYnG5dbxe5ojZj2M

DVe6HqJMvqjUrnqkLKWM2HR

{"qi": 0.012001968870530715, "vacuum_well": -0.12775939258808858, "aspect_ratio": 10.159597674004173, "max_elongation": 4.861175123145363, "average_triangularity": -0.503249770949215, "axis_magnetic_mirror_ratio": 0.1517605210561801, "edge_magnetic_mirror_ratio": 0.22157194685594195, "aspect_ratio_over_edge_rotational_transform": 11.330122692441682, "flux_compression_in_regions_of_bad_curvature": 1.1540044101556186, "axis_rotational_transform_over_n_field_periods": 0.2510082340617406, "edge_rotational_transform_over_n_field_periods": 0.22417227839866277, "minimum_normalized_magnetic_gradient_scale_length": 7.332082191878497}

10.159598

11.330123

-0.886618

0.151761

0.251008

0.221572

0.224172

1.154004

4.861175

7.332082

0.012002

-0.127759

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0038382014475485584,-0.0032053134706924915,0.00014286969917408528,0.00024266808433831642],[0.00009116913981319541,0.001284184062168987,0.023429491255554408,-0.06460162265696423,0.09301423134247987,0.011868867318885146,0.000741836549046096,0.0009813952986501933,0.00012054525317029973],[0.0009105901786998082,-0.00017792945225406716,-0.027508929626801095,0.007612061395016268,-0.002382738676254443,-0.0015820156960638502,-0.004125017241154539,-0.0009488702800831037,-0.00006617425310526007],[-0.0014269392088738441,-0.000480818512382301,0.008891389134771267,0.002543051524542165,0.0019984481029079247,-0.0018275095807839053,-0.0017523765679647372,-0.00028666945595568155,0.00011180959683293012],[0.00015476136691738895,-0.000039845615135388965,-0.0005447501722174838,-0.00018818710990034515,-0.000631498522468747,-0.00041288870553396126,-0.0005036714175798241,-0.00007165265773131577,0.00001806532384856488]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.05099128384275734,0.0030780654161196553,0.0012270403987635031,-0.00009793677904759886],[0.00005164901280847344,-0.0012619206574825785,0.025593276891794157,-0.03256172470444395,-0.14893270409004047,-0.002714303660962517,0.0018741197808911248,-0.0009663780087331716,-0.0001243932903544072],[0.00047678807538224734,-0.00034997392864714524,-0.020516307420733487,0.0011844599273487695,-0.01685769394249758,-0.004560577939935162,0.003333827905666409,0.00035965913638107356,-0.00003354572265033015],[-0.0012019068658333993,0.002980172298881107,0.00005648070038876611,0.003744645272704698,0.002811190071398874,0.001304253988920769,0.0014397425386912077,0.00014402187369527892,-0.00011148080608669485],[0.0003569211210334606,-0.0006102017036105,-0.0006625637921434049,-0.0007464894544402078,0.00005886594237428403,0.0000455057467346382,0.00037954482490083817,0.00014969935955480907,0.000010923376872237767]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.0038382014475485584, -0.0032053134706924915, 0.00014286969917408528, 0.00024266808433831642 ], [ 0.00009116913981319541, 0.001284184062168987, 0.023429491255554408, -0.06460162265696423, 0.09301423134247987, 0.011868867318885146, 0.000741836549046096, 0.0009813952986501933, 0.00012054525317029973 ], [ 0.0009105901786998082, -0.00017792945225406716, -0.027508929626801095, 0.007612061395016268, -0.002382738676254443, -0.0015820156960638502, -0.004125017241154539, -0.0009488702800831037, -0.00006617425310526007 ], [ -0.0014269392088738441, -0.000480818512382301, 0.008891389134771267, 0.002543051524542165, 0.0019984481029079247, -0.0018275095807839053, -0.0017523765679647372, -0.00028666945595568155, 0.00011180959683293012 ], [ 0.00015476136691738895, -0.000039845615135388965, -0.0005447501722174838, -0.00018818710990034515, -0.000631498522468747, -0.00041288870553396126, -0.0005036714175798241, -0.00007165265773131577, 0.00001806532384856488 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.05099128384275734, 0.0030780654161196553, 0.0012270403987635031, -0.00009793677904759886 ], [ 0.00005164901280847344, -0.0012619206574825785, 0.025593276891794157, -0.03256172470444395, -0.14893270409004047, -0.002714303660962517, 0.0018741197808911248, -0.0009663780087331716, -0.0001243932903544072 ], [ 0.00047678807538224734, -0.00034997392864714524, -0.020516307420733487, 0.0011844599273487695, -0.01685769394249758, -0.004560577939935162, 0.003333827905666409, 0.00035965913638107356, -0.00003354572265033015 ], [ -0.0012019068658333993, 0.002980172298881107, 0.00005648070038876611, 0.003744645272704698, 0.002811190071398874, 0.001304253988920769, 0.0014397425386912077, 0.00014402187369527892, -0.00011148080608669485 ], [ 0.0003569211210334606, -0.0006102017036105, -0.0006625637921434049, -0.0007464894544402078, 0.00005886594237428403, 0.0000455057467346382, 0.00037954482490083817, 0.00014969935955480907, 0.000010923376872237767 ] ]

D3aqwumbbY9p4L9SvELKYwB

{"aspect_ratio": 10.431893933160596, "major_radius": 1.0, "max_elongation": 4.626345921644126, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.11425541601536429, 0.03890859066125275, 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": [[0.8423088598294443, 0.8423089127314107, 0.8423107003177119, 0.8423231244694929, 0.8423686055880253, 0.842487373272553, 0.8427394484482728, 0.8432044838184743, 0.8439797660151587, 0.8451767362857271, 0.8469164013710381, 0.8493239995410246, 0.8525232669555287, 0.8566306213541631, 0.8617495465086553, 0.8679654238813203, 0.8753410189382557, 0.883912789620638, 0.8936881444007895, 0.9046437377982616, 0.9167248527474245, 0.9298458822514077, 0.943891887725865, 0.9587211786821339, 0.974168828240473, 0.9900510116915185, 1.0061700312097457, 1.0223198691241986, 1.0382920951171428, 1.053881939593067, 1.0688943364792416, 1.0831497341273377, 1.096489473031591, 1.1087805340208725, 1.1199194706928832, 1.1298353554326344, 1.1384915897170862, 1.145886456914622, 1.1520523298554466, 1.1570534865617597, 1.1609825362680062, 1.1639555149546728, 1.1661057759902698, 1.167576878357956, 1.1685147640502862, 1.1690596200615508, 1.169337942923427, 1.169455471588651, 1.1694918403049033, 1.1694980549811824, 1.1694982961566973], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.9691196435104265}

10.431894

1

4.626346

[ [ 0.8423088598294443, 0.8423089127314107, 0.8423107003177119, 0.8423231244694929, 0.8423686055880253, 0.842487373272553, 0.8427394484482728, 0.8432044838184743, 0.8439797660151587, 0.8451767362857271, 0.8469164013710381, 0.8493239995410246, 0.8525232669555287, 0.8566306213541631, 0.8617495465086553, 0.8679654238813203, 0.8753410189382557, 0.883912789620638, 0.8936881444007895, 0.9046437377982616, 0.9167248527474245, 0.9298458822514077, 0.943891887725865, 0.9587211786821339, 0.974168828240473, 0.9900510116915185, 1.0061700312097457, 1.0223198691241986, 1.0382920951171428, 1.053881939593067, 1.0688943364792416, 1.0831497341273377, 1.096489473031591, 1.1087805340208725, 1.1199194706928832, 1.1298353554326344, 1.1384915897170862, 1.145886456914622, 1.1520523298554466, 1.1570534865617597, 1.1609825362680062, 1.1639555149546728, 1.1661057759902698, 1.167576878357956, 1.1685147640502862, 1.1690596200615508, 1.169337942923427, 1.169455471588651, 1.1694918403049033, 1.1694980549811824, 1.1694982961566973 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.11425541601536429, 0.03890859066125275, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.96912

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

D4RLmehhFRgLaJAsshYqseL

null

false

null

false

DSa5FqpmeSYje6a9QiYVhmc

DgrmugpfzYJSGMeCW4vPubp

{"qi": 0.0027316945867977517, "vacuum_well": -0.13515514833139408, "aspect_ratio": 9.520232654626914, "max_elongation": 6.783663354355269, "average_triangularity": -0.28110003411264534, "axis_magnetic_mirror_ratio": 0.3710495836041041, "edge_magnetic_mirror_ratio": 0.3801943747725796, "aspect_ratio_over_edge_rotational_transform": 12.025414429283384, "flux_compression_in_regions_of_bad_curvature": 1.6713059468593467, "axis_rotational_transform_over_n_field_periods": 0.20887079929252345, "edge_rotational_transform_over_n_field_periods": 0.19791901373985002, "minimum_normalized_magnetic_gradient_scale_length": 8.378146044578548}

9.520233

12.025414

-0.36424

0.37105

0.208871

0.380194

0.197919

1.671306

6.783663

8.378146

0.002732

-0.135155

{"r_cos":[[0.0,0.0,0.0,0.0,0.9962482985500287,0.0198339133879116,-0.007888162597338235,-0.0004381854640067122,0.00030948182073232397],[-0.0005909002408499612,-0.006533096631572579,-0.011665321896835662,-0.07655873996899823,0.1280992334810353,0.011384787535371262,-0.011917394642779923,0.0014898459435233615,0.00047023772304658146],[-0.0008874642137445147,0.00004188620302080615,0.0010129361574047952,0.007086238939601661,-0.011698081229007038,0.010700938505984622,-0.001985718440778291,0.0006101940849620585,0.00016123096809370454],[0.00031605969915234105,0.0007849720551877634,0.00331134243481546,-0.0007159604565739194,-0.0007859281404737476,-0.001489062095087902,-0.00003779657689586082,0.0007514540773791216,-0.00020108109259072072],[-0.00026590512408582195,0.00013705971633337188,-0.000704670656044713,-0.0010596867950219573,0.0018569618848121368,-0.0010668723757790966,0.00012201109007236238,0.0002217635222632752,-0.00010220604629631035]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08089937067925967,0.011677976946666311,-0.00039558691161166795,-0.0009218666431008055],[0.00004831240284038258,-0.005408365408765274,-0.005017274049861535,-0.08551787159005489,-0.15412249563385372,0.04572235338683514,0.0014172589875190236,-0.0010768401471700452,0.000025608947816928102],[-0.0008252137814410724,-0.0018932291279180123,-0.0028287313501924507,0.018418234794753352,-0.03919794844169401,0.004590152177194259,0.003977386323682413,-0.0017220555997364525,0.00011783830399173493],[-0.0003253308181049755,-0.00003162162814785617,-0.0021235948935797687,0.01154085401775604,-0.005302782612448856,0.000589242212307513,0.0008989250882251243,-0.0006010295323019292,0.00015162568914956073],[-0.00007209408136938176,-0.00016755441721181665,-0.000738781811636019,-0.00033654932662904234,0.00038479251702967364,0.0002792695252080487,-0.00021926340611900104,-0.00007092624949733852,0.00007194914960361263]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9962482985500287, 0.0198339133879116, -0.007888162597338235, -0.0004381854640067122, 0.00030948182073232397 ], [ -0.0005909002408499612, -0.006533096631572579, -0.011665321896835662, -0.07655873996899823, 0.1280992334810353, 0.011384787535371262, -0.011917394642779923, 0.0014898459435233615, 0.00047023772304658146 ], [ -0.0008874642137445147, 0.00004188620302080615, 0.0010129361574047952, 0.007086238939601661, -0.011698081229007038, 0.010700938505984622, -0.001985718440778291, 0.0006101940849620585, 0.00016123096809370454 ], [ 0.00031605969915234105, 0.0007849720551877634, 0.00331134243481546, -0.0007159604565739194, -0.0007859281404737476, -0.001489062095087902, -0.00003779657689586082, 0.0007514540773791216, -0.00020108109259072072 ], [ -0.00026590512408582195, 0.00013705971633337188, -0.000704670656044713, -0.0010596867950219573, 0.0018569618848121368, -0.0010668723757790966, 0.00012201109007236238, 0.0002217635222632752, -0.00010220604629631035 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08089937067925967, 0.011677976946666311, -0.00039558691161166795, -0.0009218666431008055 ], [ 0.00004831240284038258, -0.005408365408765274, -0.005017274049861535, -0.08551787159005489, -0.15412249563385372, 0.04572235338683514, 0.0014172589875190236, -0.0010768401471700452, 0.000025608947816928102 ], [ -0.0008252137814410724, -0.0018932291279180123, -0.0028287313501924507, 0.018418234794753352, -0.03919794844169401, 0.004590152177194259, 0.003977386323682413, -0.0017220555997364525, 0.00011783830399173493 ], [ -0.0003253308181049755, -0.00003162162814785617, -0.0021235948935797687, 0.01154085401775604, -0.005302782612448856, 0.000589242212307513, 0.0008989250882251243, -0.0006010295323019292, 0.00015162568914956073 ], [ -0.00007209408136938176, -0.00016755441721181665, -0.000738781811636019, -0.00033654932662904234, 0.00038479251702967364, 0.0002792695252080487, -0.00021926340611900104, -0.00007092624949733852, 0.00007194914960361263 ] ]

DEfn4wD9q2SGJMqyKt3FVyi

{"aspect_ratio": 10.82454151350357, "major_radius": 1.0, "max_elongation": 6.469830210441513, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.08413749714645202, -0.1126867569392688, 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": [[0.6820211477835566, 0.682021183109681, 0.6820225709189934, 0.6820332202419204, 0.682075233569146, 0.6821918534753671, 0.6824526898759273, 0.6829568367262807, 0.6838337761926829, 0.6852421370574633, 0.6873664822295822, 0.6904123716379037, 0.694599993426194, 0.7001566850472725, 0.7073086808211299, 0.7162724266269529, 0.7272457976572967, 0.7403995430649128, 0.7558692630239223, 0.7737482001155375, 0.7940810987763807, 0.8168593544369213, 0.8420176384635762, 0.869432146571399, 0.8989205774188397, 0.9302439050220697, 0.9631099638011771, 0.9971788188478278, 1.032069846731869, 1.0673704041933585, 1.1026459137576858, 1.1374511470451656, 1.1713424387329232, 1.2038905172183414, 1.234693592540469, 1.2633902986285617, 1.2896720461631506, 1.313294305100737, 1.3340863032799675, 1.351958600838032, 1.3669079811863938, 1.3790190904202986, 1.3884622616351985, 1.3954869836288286, 1.4004105224602843, 1.4036012916528966, 1.405456714026287, 1.406375566539641, 1.406725238870632, 1.406805201751969, 1.4068101376573967], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8418868651603462}

10.824542

1

6.46983

[ [ 0.6820211477835566, 0.682021183109681, 0.6820225709189934, 0.6820332202419204, 0.682075233569146, 0.6821918534753671, 0.6824526898759273, 0.6829568367262807, 0.6838337761926829, 0.6852421370574633, 0.6873664822295822, 0.6904123716379037, 0.694599993426194, 0.7001566850472725, 0.7073086808211299, 0.7162724266269529, 0.7272457976572967, 0.7403995430649128, 0.7558692630239223, 0.7737482001155375, 0.7940810987763807, 0.8168593544369213, 0.8420176384635762, 0.869432146571399, 0.8989205774188397, 0.9302439050220697, 0.9631099638011771, 0.9971788188478278, 1.032069846731869, 1.0673704041933585, 1.1026459137576858, 1.1374511470451656, 1.1713424387329232, 1.2038905172183414, 1.234693592540469, 1.2633902986285617, 1.2896720461631506, 1.313294305100737, 1.3340863032799675, 1.351958600838032, 1.3669079811863938, 1.3790190904202986, 1.3884622616351985, 1.3954869836288286, 1.4004105224602843, 1.4036012916528966, 1.405456714026287, 1.406375566539641, 1.406725238870632, 1.406805201751969, 1.4068101376573967 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.08413749714645202, -0.1126867569392688, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.841887

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

DhFWgjwmbvap3scFFx9KqKi

null

false

null

false

DHCG4i8UZU4Y3Ubu6vmdoEi

Dk2tiLj6V6o8vN9bZ2MMKLy

{"qi": 0.004525128984713564, "vacuum_well": -0.21152824088976643, "aspect_ratio": 8.92706048033241, "max_elongation": 5.630725096678909, "average_triangularity": -0.31682488590689895, "axis_magnetic_mirror_ratio": 0.3315647693163652, "edge_magnetic_mirror_ratio": 0.3841446952319978, "aspect_ratio_over_edge_rotational_transform": 10.960574371275039, "flux_compression_in_regions_of_bad_curvature": 1.0782502069241624, "axis_rotational_transform_over_n_field_periods": 0.2676925115476698, "edge_rotational_transform_over_n_field_periods": 0.2714900447713772, "minimum_normalized_magnetic_gradient_scale_length": 4.242022486985684}

8.92706

10.960574

-0.818614

0.331565

0.267693

0.384145

0.27149

1.07825

5.630725

4.242022

0.004525

-0.211528

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.02927919393460782,-0.02395905038801648,0.0020646260973900786,0.002557225036978768],[0.0004629951593692755,-0.016141172074819646,0.04792270705518617,-0.04873376962850133,0.09319665606513564,0.020359400642551543,-0.008499714789036536,-0.0019866514329885555,-0.0007480715174390182],[-0.0004933299859631567,0.008528686831480876,-0.0189568255423031,-0.009689980475655644,-0.04774808984275783,-0.018853758823676965,-0.005381530024561314,-0.0007398207340806478,0.0008837589388197142],[0.0003740575071792527,-0.002887014921449444,0.004872087171018644,0.00876252117856193,-0.0013046798929569501,-0.0018368973427458188,-0.00029336349880360046,0.0005262068687676416,0.00015287120899152055],[-0.00008126179721718073,0.0008286226247847077,-0.00014903858088520912,-0.0012396120359497624,0.0016270741098004498,0.00013201363370137897,-0.0003071582281995882,-0.00008091686493823767,0.00005369253945096018]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.23715994481873728,0.029700067757683975,0.0002467632654778607,-0.0010332562137571263],[-0.0006027359975710549,-0.001878516714970468,0.01805585643027572,0.03734410137657868,-0.10750600282682257,-0.02517965798586982,-0.003333064968225303,0.0031474121746298306,0.0014353060622912142],[0.0001874177403186455,0.0056913045437409285,-0.016039442688936492,-0.026734885145299682,0.013653102373148693,0.018019679435778105,0.011676383480055771,0.0014455471255418067,0.00017695305407807596],[0.00009469105550174086,-0.00246410768315612,0.007598283079064615,0.0025949314528440235,-0.004783087997301522,0.0005164176328291629,0.0012987531048041859,-0.0006418321678858359,-0.00035526802055092473],[0.0002575650980746473,0.0005149808392352464,-0.0007356698684483575,0.0002907703550847983,-0.0007793085246740779,-0.00044389980150780494,0.0005870285217125181,-0.00004282078148434162,0.000016567269874520184]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.02927919393460782, -0.02395905038801648, 0.0020646260973900786, 0.002557225036978768 ], [ 0.0004629951593692755, -0.016141172074819646, 0.04792270705518617, -0.04873376962850133, 0.09319665606513564, 0.020359400642551543, -0.008499714789036536, -0.0019866514329885555, -0.0007480715174390182 ], [ -0.0004933299859631567, 0.008528686831480876, -0.0189568255423031, -0.009689980475655644, -0.04774808984275783, -0.018853758823676965, -0.005381530024561314, -0.0007398207340806478, 0.0008837589388197142 ], [ 0.0003740575071792527, -0.002887014921449444, 0.004872087171018644, 0.00876252117856193, -0.0013046798929569501, -0.0018368973427458188, -0.00029336349880360046, 0.0005262068687676416, 0.00015287120899152055 ], [ -0.00008126179721718073, 0.0008286226247847077, -0.00014903858088520912, -0.0012396120359497624, 0.0016270741098004498, 0.00013201363370137897, -0.0003071582281995882, -0.00008091686493823767, 0.00005369253945096018 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.23715994481873728, 0.029700067757683975, 0.0002467632654778607, -0.0010332562137571263 ], [ -0.0006027359975710549, -0.001878516714970468, 0.01805585643027572, 0.03734410137657868, -0.10750600282682257, -0.02517965798586982, -0.003333064968225303, 0.0031474121746298306, 0.0014353060622912142 ], [ 0.0001874177403186455, 0.0056913045437409285, -0.016039442688936492, -0.026734885145299682, 0.013653102373148693, 0.018019679435778105, 0.011676383480055771, 0.0014455471255418067, 0.00017695305407807596 ], [ 0.00009469105550174086, -0.00246410768315612, 0.007598283079064615, 0.0025949314528440235, -0.004783087997301522, 0.0005164176328291629, 0.0012987531048041859, -0.0006418321678858359, -0.00035526802055092473 ], [ 0.0002575650980746473, 0.0005149808392352464, -0.0007356698684483575, 0.0002907703550847983, -0.0007793085246740779, -0.00044389980150780494, 0.0005870285217125181, -0.00004282078148434162, 0.000016567269874520184 ] ]

D2L3RuQMgCWgJ4ZaUTPcr8E

{"aspect_ratio": 9.628860292884838, "major_radius": 1.0, "max_elongation": 6.543352709969049, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.22312741466517663, 0.15377993163408982, 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": [[0.6266944218367547, 0.6266952131595036, 0.6267149729064698, 0.6268278609010586, 0.6271852458240226, 0.6280159563324557, 0.6296139811814268, 0.6323188954155453, 0.6364926933778845, 0.6424957109562661, 0.650663597004974, 0.6612867348362974, 0.6745930672422862, 0.6907349144959085, 0.709780076981126, 0.7317072710390313, 0.7564057500913838, 0.7836788069113653, 0.8132507321393495, 0.8447767147402268, 0.8778551086233399, 0.9120414530841742, 0.9468636203840374, 0.9818374692025096, 1.0164824055989365, 1.0503362913611562, 1.0829691911626107, 1.1139955128307732, 1.143084167344473, 1.1699664550575681, 1.1944414702468684, 1.2163789055672138, 1.2357192295252246, 1.2524713017959055, 1.2667075812104165, 1.27855716759727, 1.288196999354066, 1.2958416015641863, 1.3017318424374282, 1.306123206477976, 1.3092741285009408, 1.3114349505999383, 1.3128380612272212, 1.3136897480076728, 1.314164239389251, 1.314400319310863, 1.314500766678737, 1.3145346877571011, 1.3145425596653166, 1.3145434612903197, 1.314543479773171], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8600330141069584}

9.62886

1

6.543353

[ [ 0.6266944218367547, 0.6266952131595036, 0.6267149729064698, 0.6268278609010586, 0.6271852458240226, 0.6280159563324557, 0.6296139811814268, 0.6323188954155453, 0.6364926933778845, 0.6424957109562661, 0.650663597004974, 0.6612867348362974, 0.6745930672422862, 0.6907349144959085, 0.709780076981126, 0.7317072710390313, 0.7564057500913838, 0.7836788069113653, 0.8132507321393495, 0.8447767147402268, 0.8778551086233399, 0.9120414530841742, 0.9468636203840374, 0.9818374692025096, 1.0164824055989365, 1.0503362913611562, 1.0829691911626107, 1.1139955128307732, 1.143084167344473, 1.1699664550575681, 1.1944414702468684, 1.2163789055672138, 1.2357192295252246, 1.2524713017959055, 1.2667075812104165, 1.27855716759727, 1.288196999354066, 1.2958416015641863, 1.3017318424374282, 1.306123206477976, 1.3092741285009408, 1.3114349505999383, 1.3128380612272212, 1.3136897480076728, 1.314164239389251, 1.314400319310863, 1.314500766678737, 1.3145346877571011, 1.3145425596653166, 1.3145434612903197, 1.314543479773171 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.22312741466517663, 0.15377993163408982, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.860033

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

DHBaUhnKL8viEZ28ZGhpcnF

null

false

null

false

DnEUNnhxRKbRzKLSFXT4A7J

DKR2mRtpLGEnzhky3H3Q6Hd

{"qi": 0.011077249665624596, "vacuum_well": -0.07031793321990742, "aspect_ratio": 6.759653915787118, "max_elongation": 5.1261548717988, "average_triangularity": -0.22509147483798808, "axis_magnetic_mirror_ratio": 0.3718081256318428, "edge_magnetic_mirror_ratio": 0.45197435130059205, "aspect_ratio_over_edge_rotational_transform": 8.845216770200986, "flux_compression_in_regions_of_bad_curvature": 2.0458840669841947, "axis_rotational_transform_over_n_field_periods": 0.2110226671072636, "edge_rotational_transform_over_n_field_periods": 0.25473858136750227, "minimum_normalized_magnetic_gradient_scale_length": 2.7126122937438186}

6.759654

8.845217

-0.377164

0.371808

0.211023

0.451974

0.254739

2.045884

5.126155

2.712612

0.011077

-0.070318

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.37762509250917153,0.047778796136906665,0.011806846990997835,-0.0008863870606403276],[0.0017380781628669316,-0.001008858573020997,-0.06950902602100571,-0.0793181800546605,0.1083986433688296,0.07716550434467008,0.010937472764746655,-0.0018811424899824168,-0.0010499161863804579],[0.00298412634181547,0.000027940238200104342,0.0018339186570899885,0.018040522742105252,-0.029607960327926487,0.010512448271924798,0.0010318384524858227,-0.0011795174641678358,0.0002330281872591352],[-0.0013223686743654719,-0.000515000602536027,0.003042322446544221,0.000013654050356048746,-0.003510957064964968,0.0010030460584483504,0.0010618305573702475,-0.0008519066741820528,0.00013523333440145435],[0.00015976116440442737,-0.0005215043043564402,0.00041552747809553024,-0.0012927005516813594,0.0005294707555915622,-0.00034670683932775005,-0.00010589093761683785,-0.0002911559905362683,-0.00001808052845447914]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.3534456478270414,-0.1293086736501667,-0.020706125102807324,-0.0024724790872247097],[0.0019800525926063415,-0.01842037584519832,-0.07974807584822156,0.039814587707756685,-0.17903085406262664,-0.018192387302700563,-0.0345585947243531,0.002882521987854124,0.0012208033738102153],[0.0044204068335452346,0.008192532163161605,0.0049441176803777425,-0.004836419851144513,-0.0030541178391211834,0.0007590945038316197,0.000022003085899835462,-0.002716897751126456,0.0007691824965372896],[-0.0017342945166160927,-0.0019580122421937853,0.0033991989015754783,-0.002373110037771683,0.00783989996599324,-0.000985255156967716,0.0005382927367801654,-0.00034907299854132316,-0.00005240377693283005],[0.00020459728169619186,-0.0002865178007275737,-0.0005018236916504469,0.000369044433196544,-0.0005557756470900445,0.00042658844813595276,0.0000923843751547863,0.00002858108858998565,0.00001372483276544061]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.37762509250917153, 0.047778796136906665, 0.011806846990997835, -0.0008863870606403276 ], [ 0.0017380781628669316, -0.001008858573020997, -0.06950902602100571, -0.0793181800546605, 0.1083986433688296, 0.07716550434467008, 0.010937472764746655, -0.0018811424899824168, -0.0010499161863804579 ], [ 0.00298412634181547, 0.000027940238200104342, 0.0018339186570899885, 0.018040522742105252, -0.029607960327926487, 0.010512448271924798, 0.0010318384524858227, -0.0011795174641678358, 0.0002330281872591352 ], [ -0.0013223686743654719, -0.000515000602536027, 0.003042322446544221, 0.000013654050356048746, -0.003510957064964968, 0.0010030460584483504, 0.0010618305573702475, -0.0008519066741820528, 0.00013523333440145435 ], [ 0.00015976116440442737, -0.0005215043043564402, 0.00041552747809553024, -0.0012927005516813594, 0.0005294707555915622, -0.00034670683932775005, -0.00010589093761683785, -0.0002911559905362683, -0.00001808052845447914 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.3534456478270414, -0.1293086736501667, -0.020706125102807324, -0.0024724790872247097 ], [ 0.0019800525926063415, -0.01842037584519832, -0.07974807584822156, 0.039814587707756685, -0.17903085406262664, -0.018192387302700563, -0.0345585947243531, 0.002882521987854124, 0.0012208033738102153 ], [ 0.0044204068335452346, 0.008192532163161605, 0.0049441176803777425, -0.004836419851144513, -0.0030541178391211834, 0.0007590945038316197, 0.000022003085899835462, -0.002716897751126456, 0.0007691824965372896 ], [ -0.0017342945166160927, -0.0019580122421937853, 0.0033991989015754783, -0.002373110037771683, 0.00783989996599324, -0.000985255156967716, 0.0005382927367801654, -0.00034907299854132316, -0.00005240377693283005 ], [ 0.00020459728169619186, -0.0002865178007275737, -0.0005018236916504469, 0.000369044433196544, -0.0005557756470900445, 0.00042658844813595276, 0.0000923843751547863, 0.00002858108858998565, 0.00001372483276544061 ] ]

DVec8Wcna5xQAJZrRy5BVfD

{"aspect_ratio": 6.749106257343055, "major_radius": 1.0, "max_elongation": 6.477608046864319, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.058420762042746065, 0.2325607484145753, 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": [[0.6234227751339465, 0.6234612357607807, 0.6238006839734824, 0.6248282572104011, 0.6269328809043396, 0.6304680469855538, 0.6357342268239705, 0.6429701819532168, 0.6523494346954986, 0.6639800711918206, 0.6779068194848887, 0.6941147224540946, 0.7125339347532202, 0.733045299980884, 0.7554864468694164, 0.7796581998687033, 0.8053311400341743, 0.8322521822470792, 0.8601510578923347, 0.8887466103253683, 0.9177528251649614, 0.946884529591555, 0.9758627050607162, 1.0044193666233219, 1.032301969716298, 1.0592773121038004, 1.0851349048024332, 1.1096897914675732, 1.1327848009736619, 1.1542922228911676, 1.1741149003343125, 1.192186739304908, 1.208472638262248, 1.2229678462793354, 1.2356967628771405, 1.2467111975436063, 1.2560881121377894, 1.2639268749663515, 1.2703460614434818, 1.2754798430936347, 1.2794740144825751, 1.2824817168204092, 1.2846589279847855, 1.2861598023400043, 1.287131961206542, 1.2877118582163856, 1.2880203767358103, 1.2881588661864474, 1.2882059061059263, 1.2882152421497999, 1.2882157145898492], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6649596187340756}

6.749106

1

6.477608

[ [ 0.6234227751339465, 0.6234612357607807, 0.6238006839734824, 0.6248282572104011, 0.6269328809043396, 0.6304680469855538, 0.6357342268239705, 0.6429701819532168, 0.6523494346954986, 0.6639800711918206, 0.6779068194848887, 0.6941147224540946, 0.7125339347532202, 0.733045299980884, 0.7554864468694164, 0.7796581998687033, 0.8053311400341743, 0.8322521822470792, 0.8601510578923347, 0.8887466103253683, 0.9177528251649614, 0.946884529591555, 0.9758627050607162, 1.0044193666233219, 1.032301969716298, 1.0592773121038004, 1.0851349048024332, 1.1096897914675732, 1.1327848009736619, 1.1542922228911676, 1.1741149003343125, 1.192186739304908, 1.208472638262248, 1.2229678462793354, 1.2356967628771405, 1.2467111975436063, 1.2560881121377894, 1.2639268749663515, 1.2703460614434818, 1.2754798430936347, 1.2794740144825751, 1.2824817168204092, 1.2846589279847855, 1.2861598023400043, 1.287131961206542, 1.2877118582163856, 1.2880203767358103, 1.2881588661864474, 1.2882059061059263, 1.2882152421497999, 1.2882157145898492 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.058420762042746065, 0.2325607484145753, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.66496

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

Dau55J4gSq3CcJr6ZJmPmwN

null

false

null

false

DDn3jJ6pRMnr5eeADZANuCS

DBgW8kmfRgFPsM5U8dgaXXy

{"qi": 0.019412225598205966, "vacuum_well": -0.13626935399954668, "aspect_ratio": 9.830387557698575, "max_elongation": 6.247353475806747, "average_triangularity": -0.0674524340236616, "axis_magnetic_mirror_ratio": 0.22152711093658828, "edge_magnetic_mirror_ratio": 0.3756029286467514, "aspect_ratio_over_edge_rotational_transform": 9.96772012697902, "flux_compression_in_regions_of_bad_curvature": 1.320258641449946, "axis_rotational_transform_over_n_field_periods": 0.18031407214489617, "edge_rotational_transform_over_n_field_periods": 0.32874075624345517, "minimum_normalized_magnetic_gradient_scale_length": 4.896429847513638}

9.830388

9.96772

-0.168036

0.221527

0.180314

0.375603

0.328741

1.320259

6.247353

4.89643

0.019412

-0.136269

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.08533518838761248,-0.03890829194160589,0.006426827830952099,0.0015690356410807361],[-0.00034630362063714666,-0.01206226269809874,0.05256064512433195,-0.02562553240109627,0.08122559844665414,-0.01656118323757989,-0.015770504069012068,-0.0010789220640340068,0.0014249923879190215],[-0.00008678364188638898,-0.005798074298631728,-0.0008686755143128657,-0.021691272070624285,0.006974905193902484,-0.006334216314989986,-0.002542444357105679,0.0007548969066612241,-0.00012435768847757965],[0.0009395170930692172,-0.0003084140065303694,0.0007765949472961142,0.0018555426716550193,-0.00021244074903773455,-0.0003904584841642056,-0.00003345693494135899,0.00014899787162385994,0.000052549223745033664],[-0.00008388076155528998,-0.0005809079614225671,0.00013002713413568602,-0.00042073957364338437,-0.0002033275722736858,0.00002541071795479112,-0.000014126286090292244,-0.0001503751022113415,-4.406212640482328e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.09932224598793955,0.016478722253886545,-0.008677273552695475,-0.0006534527725896144],[-0.0011197458049678468,-0.006955331273541884,0.05271053625226235,-0.013341148985927554,-0.17251787759895645,-0.009531639625873852,0.017738608313355806,0.002606854730333883,-0.0013184900987129253],[0.00009141373572230593,-0.009073454918010041,-0.00038271401434168033,-0.00887594863832012,-0.00859675554108913,0.01277893830111294,0.003805484919519588,0.00015836058673995065,0.0004336911620815561],[0.0015079519000189038,0.0009090696882048856,-0.001629672028093386,0.0031000743051566556,0.0017483438722561311,-0.00021412590275296278,-0.000040263880148070003,-0.000042242919329249615,-0.0000716955940072892],[-0.0002232445281372242,0.0004908163529906652,-0.0006981820870513334,0.00035474253300850844,-0.00013895394261898876,-0.0003502798054617187,-0.00013957348500061317,0.000058211318193715045,-2.698011777408564e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.08533518838761248, -0.03890829194160589, 0.006426827830952099, 0.0015690356410807361 ], [ -0.00034630362063714666, -0.01206226269809874, 0.05256064512433195, -0.02562553240109627, 0.08122559844665414, -0.01656118323757989, -0.015770504069012068, -0.0010789220640340068, 0.0014249923879190215 ], [ -0.00008678364188638898, -0.005798074298631728, -0.0008686755143128657, -0.021691272070624285, 0.006974905193902484, -0.006334216314989986, -0.002542444357105679, 0.0007548969066612241, -0.00012435768847757965 ], [ 0.0009395170930692172, -0.0003084140065303694, 0.0007765949472961142, 0.0018555426716550193, -0.00021244074903773455, -0.0003904584841642056, -0.00003345693494135899, 0.00014899787162385994, 0.000052549223745033664 ], [ -0.00008388076155528998, -0.0005809079614225671, 0.00013002713413568602, -0.00042073957364338437, -0.0002033275722736858, 0.00002541071795479112, -0.000014126286090292244, -0.0001503751022113415, -0.000004406212640482328 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.09932224598793955, 0.016478722253886545, -0.008677273552695475, -0.0006534527725896144 ], [ -0.0011197458049678468, -0.006955331273541884, 0.05271053625226235, -0.013341148985927554, -0.17251787759895645, -0.009531639625873852, 0.017738608313355806, 0.002606854730333883, -0.0013184900987129253 ], [ 0.00009141373572230593, -0.009073454918010041, -0.00038271401434168033, -0.00887594863832012, -0.00859675554108913, 0.01277893830111294, 0.003805484919519588, 0.00015836058673995065, 0.0004336911620815561 ], [ 0.0015079519000189038, 0.0009090696882048856, -0.001629672028093386, 0.0031000743051566556, 0.0017483438722561311, -0.00021412590275296278, -0.000040263880148070003, -0.000042242919329249615, -0.0000716955940072892 ], [ -0.0002232445281372242, 0.0004908163529906652, -0.0006981820870513334, 0.00035474253300850844, -0.00013895394261898876, -0.0003502798054617187, -0.00013957348500061317, 0.000058211318193715045, -0.000002698011777408564 ] ]

DNy6pibsJWFBauYfBrAhxDQ

{"aspect_ratio": 9.867063271342376, "major_radius": 1.0, "max_elongation": 5.720071787852612, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1392268245477307, -0.018448543214012552, 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": [[0.7559713877893373, 0.7559714834350213, 0.7559741777929204, 0.7559910586932249, 0.7560488947065789, 0.7561933221601232, 0.756490523267411, 0.7570272413923282, 0.7579094227345304, 0.7592597401450132, 0.7612142305015989, 0.7639182574752499, 0.7675219945884647, 0.772175608184747, 0.778024305715173, 0.7852034012495906, 0.7938335371032118, 0.8040161877726123, 0.8158295598800339, 0.8293249894402335, 0.844523925416234, 0.8614155761565526, 0.8799552828509352, 0.9000636715520636, 0.9216266225360135, 0.9444960827624057, 0.9684917338912546, 0.9934035146576772, 1.0189949823308428, 1.045007483413138, 1.0711650885796669, 1.0971802310099428, 1.122759970593229, 1.1476127888364331, 1.1714558004682223, 1.1940222474591708, 1.2150691191330163, 1.23438471778831, 1.2517959621875425, 1.267175190577336, 1.2804461894048882, 1.2915891318707533, 1.300644059289185, 1.3077124737673218, 1.312956526054629, 1.3165951653191408, 1.318896444677597, 1.320164898058358, 1.3207224001692255, 1.3208798311016978, 1.320893564059812], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5596542012859794}

9.867063

1

5.720072

[ [ 0.7559713877893373, 0.7559714834350213, 0.7559741777929204, 0.7559910586932249, 0.7560488947065789, 0.7561933221601232, 0.756490523267411, 0.7570272413923282, 0.7579094227345304, 0.7592597401450132, 0.7612142305015989, 0.7639182574752499, 0.7675219945884647, 0.772175608184747, 0.778024305715173, 0.7852034012495906, 0.7938335371032118, 0.8040161877726123, 0.8158295598800339, 0.8293249894402335, 0.844523925416234, 0.8614155761565526, 0.8799552828509352, 0.9000636715520636, 0.9216266225360135, 0.9444960827624057, 0.9684917338912546, 0.9934035146576772, 1.0189949823308428, 1.045007483413138, 1.0711650885796669, 1.0971802310099428, 1.122759970593229, 1.1476127888364331, 1.1714558004682223, 1.1940222474591708, 1.2150691191330163, 1.23438471778831, 1.2517959621875425, 1.267175190577336, 1.2804461894048882, 1.2915891318707533, 1.300644059289185, 1.3077124737673218, 1.312956526054629, 1.3165951653191408, 1.318896444677597, 1.320164898058358, 1.3207224001692255, 1.3208798311016978, 1.320893564059812 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1392268245477307, -0.018448543214012552, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.559654

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

DoPeFuKQ8aPtyd9Vq8uyPSW

null

false

null

false

DjZAVRGb5WXcJTdzVLrGHT7

DavUdyTdPJKqe8ehPbvLDts

{"qi": 0.03130060357994492, "vacuum_well": -0.06701364790250783, "aspect_ratio": 9.505537700320984, "max_elongation": 4.5696117519143336, "average_triangularity": -0.10303201147935466, "axis_magnetic_mirror_ratio": 0.11358267356956733, "edge_magnetic_mirror_ratio": 0.19730162058360554, "aspect_ratio_over_edge_rotational_transform": 10.973785713457398, "flux_compression_in_regions_of_bad_curvature": 1.1580537530568895, "axis_rotational_transform_over_n_field_periods": 0.23255539966947952, "edge_rotational_transform_over_n_field_periods": 0.21655101412870062, "minimum_normalized_magnetic_gradient_scale_length": 9.28061520155143}

9.505538

10.973786

-0.101056

0.113583

0.232555

0.197302

0.216551

1.158054

4.569612

9.280615

0.031301

-0.067014

{"r_cos":[[0.0,0.0,0.0,0.0,1.0002548490978693,0.01332717000357201,-0.01479810881107184,-0.0007323154970581636,-0.0010096263586519415],[0.0001381581320219351,-0.0031809858627594874,-0.022299140172076497,-0.03879016414135365,0.14616597036246953,-0.016702668445867444,-0.005222097940276966,0.0018236933058283435,-0.0004967387378498698],[0.0006211771918926044,0.004473535065079332,0.010099304574459136,0.01236026014833456,-0.020173597865294345,0.011247475168048691,-0.007928733775730983,0.0019443625769743598,-0.0002258299775294324],[0.00010900353784086383,0.0006730904235556943,0.0014398534988911752,-0.0043056733767419106,0.0038628357454974296,0.00026764114354038,0.000337001889902647,-0.00006214374639850183,0.000050758891701666435],[-0.00009317727719995898,-0.00046046956946154354,-0.00002151348114649547,0.0012240223223369063,-0.0011722498182022215,0.0009548642778379616,-0.00048270358370443517,-0.000011257153142752417,-3.5587335247720057e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.148294802727268,0.013998932480934291,0.0018777062268506483,0.00037166930538395926],[-0.0004970264218274746,-0.0052416001291500786,-0.02305685846460393,-0.07268600673499205,-0.09574997344180917,0.03156649562062129,-0.007004916192246311,0.0037379759227177834,-0.0005936151554851308],[0.00024280854063681584,0.0008283562219917528,0.0002987732166166966,0.0017966450649197566,-0.004424350679660668,0.0031821670563708998,-0.0007601670921422517,0.00046639347768623806,-0.00017110001850940387],[0.0002148205392078127,0.0004875518157911276,0.0006316627763251002,0.0027038179489995806,-0.0006049491309804228,-0.0012636356983777536,0.00004957958975957289,-0.00025763761932195756,0.0000657433699892303],[-0.00003596683576010908,-0.00015805670116544792,0.00004509893300430807,-0.0006389717431711312,0.0002317149990716616,-0.000044444744357060076,0.00004243243729965484,0.000050029357334318315,8.01608495560363e-6]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1.0002548490978693, 0.01332717000357201, -0.01479810881107184, -0.0007323154970581636, -0.0010096263586519415 ], [ 0.0001381581320219351, -0.0031809858627594874, -0.022299140172076497, -0.03879016414135365, 0.14616597036246953, -0.016702668445867444, -0.005222097940276966, 0.0018236933058283435, -0.0004967387378498698 ], [ 0.0006211771918926044, 0.004473535065079332, 0.010099304574459136, 0.01236026014833456, -0.020173597865294345, 0.011247475168048691, -0.007928733775730983, 0.0019443625769743598, -0.0002258299775294324 ], [ 0.00010900353784086383, 0.0006730904235556943, 0.0014398534988911752, -0.0043056733767419106, 0.0038628357454974296, 0.00026764114354038, 0.000337001889902647, -0.00006214374639850183, 0.000050758891701666435 ], [ -0.00009317727719995898, -0.00046046956946154354, -0.00002151348114649547, 0.0012240223223369063, -0.0011722498182022215, 0.0009548642778379616, -0.00048270358370443517, -0.000011257153142752417, -0.0000035587335247720057 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.148294802727268, 0.013998932480934291, 0.0018777062268506483, 0.00037166930538395926 ], [ -0.0004970264218274746, -0.0052416001291500786, -0.02305685846460393, -0.07268600673499205, -0.09574997344180917, 0.03156649562062129, -0.007004916192246311, 0.0037379759227177834, -0.0005936151554851308 ], [ 0.00024280854063681584, 0.0008283562219917528, 0.0002987732166166966, 0.0017966450649197566, -0.004424350679660668, 0.0031821670563708998, -0.0007601670921422517, 0.00046639347768623806, -0.00017110001850940387 ], [ 0.0002148205392078127, 0.0004875518157911276, 0.0006316627763251002, 0.0027038179489995806, -0.0006049491309804228, -0.0012636356983777536, 0.00004957958975957289, -0.00025763761932195756, 0.0000657433699892303 ], [ -0.00003596683576010908, -0.00015805670116544792, 0.00004509893300430807, -0.0006389717431711312, 0.0002317149990716616, -0.000044444744357060076, 0.00004243243729965484, 0.000050029357334318315, 0.00000801608495560363 ] ]

Df3ANNZhCaNCCJ3bDzY8REA

{"aspect_ratio": 9.11439783089363, "major_radius": 1.0, "max_elongation": 4.011419573093889, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.08027930297606423, 0.05254687283203402, 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": [[0.9020228699696673, 0.9020230649954564, 0.9020272179681068, 0.9020489762899317, 0.902114430650579, 0.9022619528717052, 0.9025407058242264, 0.9030083937787473, 0.9037285897335229, 0.9047678686407447, 0.9061929126185381, 0.9080677125579527, 0.9104509604902994, 0.9133937041256995, 0.9169373166770091, 0.9211118200303074, 0.9259345866374187, 0.9314094346161749, 0.9375261210625364, 0.9442602302332749, 0.9515734458527665, 0.959414190188419, 0.9677186066186414, 0.9764118571037194, 0.9854097012018137, 0.9946203190029864, 1.0039463365491303, 1.0132870089422854, 1.022540513401859, 1.0316063020042503, 1.040387461725054, 1.0487930277104678, 1.0567401944446817, 1.064156368676531, 1.0709810076546464, 1.0771671864415517, 1.082682838895864, 1.0875116184118119, 1.0916533268000985, 1.0951238629387445, 1.0979546472323307, 1.1001914837991436, 1.1018928301055952, 1.1031274541634752, 1.103971473469435, 1.1045047893854094, 1.1048069588281806, 1.1049525881993303, 1.1050064062436247, 1.105018309661875, 1.1050190145743763], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8491440926410143}

9.114398

1

4.01142

[ [ 0.9020228699696673, 0.9020230649954564, 0.9020272179681068, 0.9020489762899317, 0.902114430650579, 0.9022619528717052, 0.9025407058242264, 0.9030083937787473, 0.9037285897335229, 0.9047678686407447, 0.9061929126185381, 0.9080677125579527, 0.9104509604902994, 0.9133937041256995, 0.9169373166770091, 0.9211118200303074, 0.9259345866374187, 0.9314094346161749, 0.9375261210625364, 0.9442602302332749, 0.9515734458527665, 0.959414190188419, 0.9677186066186414, 0.9764118571037194, 0.9854097012018137, 0.9946203190029864, 1.0039463365491303, 1.0132870089422854, 1.022540513401859, 1.0316063020042503, 1.040387461725054, 1.0487930277104678, 1.0567401944446817, 1.064156368676531, 1.0709810076546464, 1.0771671864415517, 1.082682838895864, 1.0875116184118119, 1.0916533268000985, 1.0951238629387445, 1.0979546472323307, 1.1001914837991436, 1.1018928301055952, 1.1031274541634752, 1.103971473469435, 1.1045047893854094, 1.1048069588281806, 1.1049525881993303, 1.1050064062436247, 1.105018309661875, 1.1050190145743763 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.08027930297606423, 0.05254687283203402, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.849144

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

DCtNuErC4okLJZ5nfrsX6pA

null

false

null

false

DJ2oyRGrwWuVejtdRivp9kn

DEfYPLtZrBJHRWuxb7GijqL

{"qi": 0.009885468095755398, "vacuum_well": -0.01755929078055549, "aspect_ratio": 9.996603151495977, "max_elongation": 4.680673170468582, "average_triangularity": -0.09937033337104928, "axis_magnetic_mirror_ratio": 0.19191472370608972, "edge_magnetic_mirror_ratio": 0.22252723742986066, "aspect_ratio_over_edge_rotational_transform": 248.61199320623047, "flux_compression_in_regions_of_bad_curvature": 0.8200843124476658, "axis_rotational_transform_over_n_field_periods": 0.041385537167658484, "edge_rotational_transform_over_n_field_periods": 0.040209657718336705, "minimum_normalized_magnetic_gradient_scale_length": 1.0577642321946474}

9.996603

248.611993

-0.111977

0.191915

0.041386

0.222527

0.04021

0.820084

4.680673

1.057764

0.009885

-0.017559

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0018708373271008236,-0.19822439999536534,-0.00004059956068512386,0.007210561039745706],[0.0005783275144331692,-0.001205254974175297,0.013346319938460598,-0.006336552429232923,0.07155459003962746,-0.007806357064847208,0.0016873406315074842,-0.003335702129053232,-0.0018994870250233918],[0.00036830646186234535,-0.0021757887183681377,-0.0049070738287460385,0.001493732002311783,-0.007663860813694195,-0.0021180824906042693,0.0010519956522695526,-0.0010865034368936332,0.00045791198540860224],[0.00005294021806453696,-0.00006901166929775506,-0.0016064963576037845,0.002663350108890312,-0.0003981307150686858,-0.0010337781847190963,0.0016832448616175932,0.00038231798354101596,0.0001695845554577025],[-0.000038254836373866415,0.00014302748957341355,-0.0001620235491807264,0.00041651844500667306,-0.00037440303982380976,0.0004887171013570562,-0.000050428134208259454,0.00013041042883657272,-0.000023156400555030252]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.008540887853244057,0.015376192933390886,0.004170673063121102,-0.0024513832493244826],[-0.0012406979102102572,-0.006264711513885059,0.031222474050517042,-0.02170838452372619,-0.1425706786798078,0.021477462486644214,0.0024775327224031488,0.0023364193014867754,-0.000055486304724096424],[0.0018751643929930321,-0.003923332479317623,0.0009755891537154034,-0.02216802386906553,0.0032659025524314498,0.02474921986578911,-0.0002896525406940728,0.0008015663736409952,0.0002691278067762583],[0.0002669906670516638,0.001445573849101509,-0.002217944080560301,0.0014228842600006117,0.03347147799573014,0.002089532183209754,-0.004664529191625336,0.00015623185032518424,-0.0001479584225245767],[-0.0002761228398593567,0.00026336027985877393,-0.0008613846277051911,-0.0007613363469203664,0.001394631687255861,-0.00002702738827022863,-0.000705686359541427,-0.00009370332958603531,-0.00012002370391166526]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.0018708373271008236, -0.19822439999536534, -0.00004059956068512386, 0.007210561039745706 ], [ 0.0005783275144331692, -0.001205254974175297, 0.013346319938460598, -0.006336552429232923, 0.07155459003962746, -0.007806357064847208, 0.0016873406315074842, -0.003335702129053232, -0.0018994870250233918 ], [ 0.00036830646186234535, -0.0021757887183681377, -0.0049070738287460385, 0.001493732002311783, -0.007663860813694195, -0.0021180824906042693, 0.0010519956522695526, -0.0010865034368936332, 0.00045791198540860224 ], [ 0.00005294021806453696, -0.00006901166929775506, -0.0016064963576037845, 0.002663350108890312, -0.0003981307150686858, -0.0010337781847190963, 0.0016832448616175932, 0.00038231798354101596, 0.0001695845554577025 ], [ -0.000038254836373866415, 0.00014302748957341355, -0.0001620235491807264, 0.00041651844500667306, -0.00037440303982380976, 0.0004887171013570562, -0.000050428134208259454, 0.00013041042883657272, -0.000023156400555030252 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.008540887853244057, 0.015376192933390886, 0.004170673063121102, -0.0024513832493244826 ], [ -0.0012406979102102572, -0.006264711513885059, 0.031222474050517042, -0.02170838452372619, -0.1425706786798078, 0.021477462486644214, 0.0024775327224031488, 0.0023364193014867754, -0.000055486304724096424 ], [ 0.0018751643929930321, -0.003923332479317623, 0.0009755891537154034, -0.02216802386906553, 0.0032659025524314498, 0.02474921986578911, -0.0002896525406940728, 0.0008015663736409952, 0.0002691278067762583 ], [ 0.0002669906670516638, 0.001445573849101509, -0.002217944080560301, 0.0014228842600006117, 0.03347147799573014, 0.002089532183209754, -0.004664529191625336, 0.00015623185032518424, -0.0001479584225245767 ], [ -0.0002761228398593567, 0.00026336027985877393, -0.0008613846277051911, -0.0007613363469203664, 0.001394631687255861, -0.00002702738827022863, -0.000705686359541427, -0.00009370332958603531, -0.00012002370391166526 ] ]

DJaEEzKtN9WfKBJJiC6pSyd

{"aspect_ratio": 11.287302636730384, "major_radius": 1.0, "max_elongation": 4.858847302628123, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.10122421982110025, -0.16234015441814176, 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": [[0.8640798632663743, 0.8640798655542521, 0.864079973871437, 0.864080917056834, 0.8640850248811505, 0.864097416718565, 0.864127244341307, 0.8641888843750668, 0.8643030035514617, 0.8644974383520919, 0.864807844587447, 0.8652780837685378, 0.8659603227424075, 0.8669148314999925, 0.8682094716488551, 0.8699188749856155, 0.8721233180494751, 0.8749073045942528, 0.8783578736605054, 0.882562656422438, 0.8876077102750263, 0.8935751637551645, 0.90054071089085, 0.9085709984745581, 0.9177209545885932, 0.9280311114975314, 0.939524980791868, 0.9522065434444116, 0.9660579222555796, 0.9810373090475834, 0.9970772239575436, 1.0140831893199242, 1.0319329059734004, 1.050476025444513, 1.0695346174381868, 1.088904438519826, 1.1083571149629847, 1.1276433606796579, 1.146497360259449, 1.1646424578774814, 1.1817983058826385, 1.1976896433358613, 1.2120568964117966, 1.224668822457957, 1.2353374631704042, 1.243935740614505, 1.250418145778298, 1.2548451883974263, 1.2574127557325385, 1.2584888409426056, 1.2586658838937699], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.14624437741850366}

11.287303

1

4.858847

[ [ 0.8640798632663743, 0.8640798655542521, 0.864079973871437, 0.864080917056834, 0.8640850248811505, 0.864097416718565, 0.864127244341307, 0.8641888843750668, 0.8643030035514617, 0.8644974383520919, 0.864807844587447, 0.8652780837685378, 0.8659603227424075, 0.8669148314999925, 0.8682094716488551, 0.8699188749856155, 0.8721233180494751, 0.8749073045942528, 0.8783578736605054, 0.882562656422438, 0.8876077102750263, 0.8935751637551645, 0.90054071089085, 0.9085709984745581, 0.9177209545885932, 0.9280311114975314, 0.939524980791868, 0.9522065434444116, 0.9660579222555796, 0.9810373090475834, 0.9970772239575436, 1.0140831893199242, 1.0319329059734004, 1.050476025444513, 1.0695346174381868, 1.088904438519826, 1.1083571149629847, 1.1276433606796579, 1.146497360259449, 1.1646424578774814, 1.1817983058826385, 1.1976896433358613, 1.2120568964117966, 1.224668822457957, 1.2353374631704042, 1.243935740614505, 1.250418145778298, 1.2548451883974263, 1.2574127557325385, 1.2584888409426056, 1.2586658838937699 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.10122421982110025, -0.16234015441814176, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.146244

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

DXwL6dX6irTSBtZFRRaB99T

null

false

null

false

DNkYvAyzAsfXj92m2aAZyyL

Dmu49AMjoqw8TYeDsYU8BdR

{"qi": 0.0300904369020306, "vacuum_well": -0.1301809587869079, "aspect_ratio": 9.539061828907228, "max_elongation": 4.767022502640658, "average_triangularity": 0.012795669075490623, "axis_magnetic_mirror_ratio": 0.14012135749691754, "edge_magnetic_mirror_ratio": 0.2810638551329723, "aspect_ratio_over_edge_rotational_transform": 9.354209073134566, "flux_compression_in_regions_of_bad_curvature": 1.2715289238951761, "axis_rotational_transform_over_n_field_periods": 0.24995229388334195, "edge_rotational_transform_over_n_field_periods": 0.339920484077539, "minimum_normalized_magnetic_gradient_scale_length": 5.169939219083302}

9.539062

9.354209

-0.014176

0.140121

0.249952

0.281064

0.33992

1.271529

4.767023

5.169939

0.03009

-0.130181

{"r_cos":[[0.0,0.0,0.0,0.0,0.9994581197455449,-0.1268945281166082,-0.04374500847997552,0.01434468266801285,0.0017765752533928751],[0.0009623068323247594,0.013123504336483606,0.03907707061481806,-0.032376146996342,0.1168046634757542,-0.030875466648600528,-0.0028979337195199004,0.0025197250019515054,0.0012780721607718736],[-0.0010399845240530088,0.005391753372399644,0.003168154343241804,-0.004332411054443419,-0.0046846748566756885,0.007416757659331753,-0.006586767576819143,0.0007098008063512644,0.0001652149313458101],[-0.0011486698497584179,-0.0028975384698159646,-0.0028376348762501574,-0.0033721258731052458,0.002268498194404751,-0.00024889849643978034,-0.00048006292054439013,-0.00017905951812844604,-0.00006329336581415801],[0.00027318590778776803,0.00005503300287273039,0.0002051724492769311,0.0002809761808430667,0.00021420852452554934,-0.00020299203333758352,0.0002989018484127067,5.7441042159943594e-6,0.00006619434710645227]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.18850412509549347,0.039552653111396205,-0.008362634061975842,-0.0019124201379346999],[0.003787341375293668,0.013772855413087523,0.031929807358499096,-0.06800936000544294,-0.11154981260953689,0.044596462031642255,-0.0003335219686199341,0.0013715808972157703,-0.0026637960311763857],[0.0005426115176082555,0.004143111036407459,-0.0036324580572025724,-0.0005260329965417151,0.002191882537283169,-0.006008067669701023,0.0036438522455960977,-0.00010137783357242955,-0.00034958751078136474],[-0.0005077716974800263,-0.0012826608618742561,0.001955223003448423,0.004047511191973412,-0.0019139573911591554,0.0008034011309505347,-0.0002144559012129104,0.0003977059503416824,0.00004163412509979893],[0.0001374331006925286,-0.0001428025373049072,-0.00010426415179429476,0.0003573993384608501,0.0005364615506098305,-0.0008897483955734283,0.0004088311023839634,-0.00003767323664931854,-2.0755457877933607e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9994581197455449, -0.1268945281166082, -0.04374500847997552, 0.01434468266801285, 0.0017765752533928751 ], [ 0.0009623068323247594, 0.013123504336483606, 0.03907707061481806, -0.032376146996342, 0.1168046634757542, -0.030875466648600528, -0.0028979337195199004, 0.0025197250019515054, 0.0012780721607718736 ], [ -0.0010399845240530088, 0.005391753372399644, 0.003168154343241804, -0.004332411054443419, -0.0046846748566756885, 0.007416757659331753, -0.006586767576819143, 0.0007098008063512644, 0.0001652149313458101 ], [ -0.0011486698497584179, -0.0028975384698159646, -0.0028376348762501574, -0.0033721258731052458, 0.002268498194404751, -0.00024889849643978034, -0.00048006292054439013, -0.00017905951812844604, -0.00006329336581415801 ], [ 0.00027318590778776803, 0.00005503300287273039, 0.0002051724492769311, 0.0002809761808430667, 0.00021420852452554934, -0.00020299203333758352, 0.0002989018484127067, 0.0000057441042159943594, 0.00006619434710645227 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.18850412509549347, 0.039552653111396205, -0.008362634061975842, -0.0019124201379346999 ], [ 0.003787341375293668, 0.013772855413087523, 0.031929807358499096, -0.06800936000544294, -0.11154981260953689, 0.044596462031642255, -0.0003335219686199341, 0.0013715808972157703, -0.0026637960311763857 ], [ 0.0005426115176082555, 0.004143111036407459, -0.0036324580572025724, -0.0005260329965417151, 0.002191882537283169, -0.006008067669701023, 0.0036438522455960977, -0.00010137783357242955, -0.00034958751078136474 ], [ -0.0005077716974800263, -0.0012826608618742561, 0.001955223003448423, 0.004047511191973412, -0.0019139573911591554, 0.0008034011309505347, -0.0002144559012129104, 0.0003977059503416824, 0.00004163412509979893 ], [ 0.0001374331006925286, -0.0001428025373049072, -0.00010426415179429476, 0.0003573993384608501, 0.0005364615506098305, -0.0008897483955734283, 0.0004088311023839634, -0.00003767323664931854, -0.0000020755457877933607 ] ]

DLLEKEWb26KMQZWZ4WnHRig

{"aspect_ratio": 9.350285612230259, "major_radius": 1.0, "max_elongation": 4.492464784028012, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.024975562438798796, -0.04425406346752619, 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": [[0.8441929573690083, 0.8441933381143768, 0.844202020194905, 0.844249103460949, 0.8443932900953839, 0.8447209843303608, 0.8453415710990382, 0.8463806195732679, 0.8479721183272682, 0.8502505078395646, 0.8533430549907074, 0.8573629558229849, 0.8624034325032359, 0.8685329957188712, 0.8757919675861431, 0.884190298215534, 0.8937066585091451, 0.9042887505848064, 0.9158547440043665, 0.9282957196593314, 0.9414789829075824, 0.9552520927011308, 0.9694474434588225, 0.9838872308704396, 0.9983886312869035, 1.0127690265223788, 1.02685111147321, 1.0404677306799883, 1.053466301578773, 1.0657126964779122, 1.0770944720418698, 1.0875233540540317, 1.0969369062611642, 1.1052993349671414, 1.1126014055326117, 1.1188594728315706, 1.1241136547826875, 1.1284252060599789, 1.1318731777128561, 1.1345504773693338, 1.1365594735829556, 1.1380073162613618, 1.1390011724188203, 1.139643601998439, 1.1400283212314568, 1.140236619552947, 1.140334708389957, 1.1403722828006837, 1.1403825639218028, 1.1403840489715018, 1.1403840933004414], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7799421605271485}

9.350286

1

4.492465

[ [ 0.8441929573690083, 0.8441933381143768, 0.844202020194905, 0.844249103460949, 0.8443932900953839, 0.8447209843303608, 0.8453415710990382, 0.8463806195732679, 0.8479721183272682, 0.8502505078395646, 0.8533430549907074, 0.8573629558229849, 0.8624034325032359, 0.8685329957188712, 0.8757919675861431, 0.884190298215534, 0.8937066585091451, 0.9042887505848064, 0.9158547440043665, 0.9282957196593314, 0.9414789829075824, 0.9552520927011308, 0.9694474434588225, 0.9838872308704396, 0.9983886312869035, 1.0127690265223788, 1.02685111147321, 1.0404677306799883, 1.053466301578773, 1.0657126964779122, 1.0770944720418698, 1.0875233540540317, 1.0969369062611642, 1.1052993349671414, 1.1126014055326117, 1.1188594728315706, 1.1241136547826875, 1.1284252060599789, 1.1318731777128561, 1.1345504773693338, 1.1365594735829556, 1.1380073162613618, 1.1390011724188203, 1.139643601998439, 1.1400283212314568, 1.140236619552947, 1.140334708389957, 1.1403722828006837, 1.1403825639218028, 1.1403840489715018, 1.1403840933004414 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.024975562438798796, -0.04425406346752619, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.779942

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

D93WZAMCkdSHDEUeoJdhJpt

null

false

null

false

DRwSNZzKAa2S9Y8QexKBkZg

DFSAG3KuN6jGpGqjA3FTom3

{"qi": 0.004131440998708566, "vacuum_well": -0.09932400819624095, "aspect_ratio": 9.516927646853809, "max_elongation": 6.309541140607292, "average_triangularity": -0.6004316225487276, "axis_magnetic_mirror_ratio": 0.29996421818594243, "edge_magnetic_mirror_ratio": 0.323424887328041, "aspect_ratio_over_edge_rotational_transform": 26.643847781487185, "flux_compression_in_regions_of_bad_curvature": 1.7475038264131615, "axis_rotational_transform_over_n_field_periods": 0.31498635983197404, "edge_rotational_transform_over_n_field_periods": 0.35719043754132274, "minimum_normalized_magnetic_gradient_scale_length": 2.8802905625149378}

9.516928

26.643848

-0.653109

0.299964

0.314986

0.323425

0.35719

1.747504

6.309541

2.880291

0.004131

-0.099324

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.013975550654229934,-0.24907836535773328,0.002873955705607294,0.017408169893735136],[0.002538780561723852,0.00012667645818706125,0.0568905187563405,-0.011062222570762352,0.08061243348291493,0.003926455696726188,-0.012643657568955448,0.001567603472456379,-0.0005274841917317663],[-0.004135830984968395,0.001091454094986756,0.001297422912823412,-0.003339562933742149,-0.018091568923158476,-0.008249917965184247,0.0021419369684820707,0.00016571566026693627,-0.0002617001833437138],[0.0004924717577373915,0.003131790225560157,-0.0018091247700034547,-0.0019768792915175627,0.0009514196765694139,0.002190374937984736,0.0010338275024912788,-0.0002842991771502452,0.00009779788773733091],[-0.00030566488666990436,-0.00022240298001375072,0.00018885541731961407,0.0002058796042651535,-0.00041452597407439233,-0.00024530012267022245,-0.00012737268460366125,-0.00005417439714537056,0.00005058526649207048]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.00834199307280865,0.11164693247807313,0.0008029335739615957,-0.012219965801158804],[0.008948601625468719,-0.007103387828962622,0.06826917647966343,0.022586099193392228,-0.18192017901144752,0.005654039357463291,0.007698438145859181,-0.004005933594645666,0.0032288117027017378],[-0.00586534054337984,0.002626549909895581,-0.030978447934504223,-0.0033841978629732005,-0.002459151560747593,0.008890648525297789,-0.00009611107377207988,0.000122611414042708,0.0009080723113608453],[-0.001597061225727457,0.0032911632959401844,-0.0017146029207789737,-0.00008520887455466147,-0.0035635417485054984,-0.001771711834071531,-0.0011859899941903862,0.0004994595969336866,-0.00015076580241654626],[0.00013542551472668025,-0.00034372769582926514,0.000901565897327972,0.00030013463171117824,0.00030820801888390743,0.00029792002259934744,-0.0003075093716207487,0.00009929325513157055,-0.000052271402447814774]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.013975550654229934, -0.24907836535773328, 0.002873955705607294, 0.017408169893735136 ], [ 0.002538780561723852, 0.00012667645818706125, 0.0568905187563405, -0.011062222570762352, 0.08061243348291493, 0.003926455696726188, -0.012643657568955448, 0.001567603472456379, -0.0005274841917317663 ], [ -0.004135830984968395, 0.001091454094986756, 0.001297422912823412, -0.003339562933742149, -0.018091568923158476, -0.008249917965184247, 0.0021419369684820707, 0.00016571566026693627, -0.0002617001833437138 ], [ 0.0004924717577373915, 0.003131790225560157, -0.0018091247700034547, -0.0019768792915175627, 0.0009514196765694139, 0.002190374937984736, 0.0010338275024912788, -0.0002842991771502452, 0.00009779788773733091 ], [ -0.00030566488666990436, -0.00022240298001375072, 0.00018885541731961407, 0.0002058796042651535, -0.00041452597407439233, -0.00024530012267022245, -0.00012737268460366125, -0.00005417439714537056, 0.00005058526649207048 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.00834199307280865, 0.11164693247807313, 0.0008029335739615957, -0.012219965801158804 ], [ 0.008948601625468719, -0.007103387828962622, 0.06826917647966343, 0.022586099193392228, -0.18192017901144752, 0.005654039357463291, 0.007698438145859181, -0.004005933594645666, 0.0032288117027017378 ], [ -0.00586534054337984, 0.002626549909895581, -0.030978447934504223, -0.0033841978629732005, -0.002459151560747593, 0.008890648525297789, -0.00009611107377207988, 0.000122611414042708, 0.0009080723113608453 ], [ -0.001597061225727457, 0.0032911632959401844, -0.0017146029207789737, -0.00008520887455466147, -0.0035635417485054984, -0.001771711834071531, -0.0011859899941903862, 0.0004994595969336866, -0.00015076580241654626 ], [ 0.00013542551472668025, -0.00034372769582926514, 0.000901565897327972, 0.00030013463171117824, 0.00030820801888390743, 0.00029792002259934744, -0.0003075093716207487, 0.00009929325513157055, -0.000052271402447814774 ] ]

DeCosXBnCHdySeW6rjwt92t

{"aspect_ratio": 10.949266596137644, "major_radius": 1.0, "max_elongation": 5.908773172806784, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.11199922165947043, -0.04902848433394014, 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": [[0.7097758140574457, 0.7097758753002819, 0.7097783358293481, 0.7097972839321284, 0.7098716137908018, 0.7100756540214253, 0.7105253255361351, 0.7113794073440814, 0.7128361983424016, 0.7151262388264555, 0.7185019508154467, 0.7232251392302733, 0.7295533036938755, 0.7377256664560725, 0.7479497414564263, 0.7603891642475643, 0.7751533810502785, 0.7922896643653533, 0.811777787752657, 0.8335275580380779, 0.8573792729880989, 0.8831070494524416, 0.9104248536664289, 0.93899496395121, 0.968438508209241, 0.9983476458170162, 1.0282989069053436, 1.0578671624562161, 1.0866396767447384, 1.1142296897783228, 1.14028899165497, 1.164518983057153, 1.186679766049743, 1.2065968763342056, 1.2241653512285104, 1.2393509256981692, 1.2521882602359613, 1.2627762273825671, 1.2712704158737256, 1.277873149957089, 1.282821462885472, 1.2863736037207052, 1.2887947901130432, 1.2903430400199483, 1.2912560138230011, 1.291739863546784, 1.2919611018922887, 1.2920424468178717, 1.2920634289337296, 1.2920661980060828, 1.292066268713393], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2719708019404532}

10.949267

1

5.908773

[ [ 0.7097758140574457, 0.7097758753002819, 0.7097783358293481, 0.7097972839321284, 0.7098716137908018, 0.7100756540214253, 0.7105253255361351, 0.7113794073440814, 0.7128361983424016, 0.7151262388264555, 0.7185019508154467, 0.7232251392302733, 0.7295533036938755, 0.7377256664560725, 0.7479497414564263, 0.7603891642475643, 0.7751533810502785, 0.7922896643653533, 0.811777787752657, 0.8335275580380779, 0.8573792729880989, 0.8831070494524416, 0.9104248536664289, 0.93899496395121, 0.968438508209241, 0.9983476458170162, 1.0282989069053436, 1.0578671624562161, 1.0866396767447384, 1.1142296897783228, 1.14028899165497, 1.164518983057153, 1.186679766049743, 1.2065968763342056, 1.2241653512285104, 1.2393509256981692, 1.2521882602359613, 1.2627762273825671, 1.2712704158737256, 1.277873149957089, 1.282821462885472, 1.2863736037207052, 1.2887947901130432, 1.2903430400199483, 1.2912560138230011, 1.291739863546784, 1.2919611018922887, 1.2920424468178717, 1.2920634289337296, 1.2920661980060828, 1.292066268713393 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.11199922165947043, -0.04902848433394014, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.271971

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

DSuYypN2johEeCKgWDctswb

null

false

null

false

DFmizZ2Mm2YM4gZo7hTih3q

DVzxes8gpmC6ta2ga824HEn

{"qi": 0.007611541478157942, "vacuum_well": 0.08062328464443885, "aspect_ratio": 9.64887119686458, "max_elongation": 5.583782064859649, "average_triangularity": 0.33623088342140584, "axis_magnetic_mirror_ratio": 0.28299297948230695, "edge_magnetic_mirror_ratio": 0.32854199871971407, "aspect_ratio_over_edge_rotational_transform": 193.45163743210674, "flux_compression_in_regions_of_bad_curvature": 0.6745219561744965, "axis_rotational_transform_over_n_field_periods": 0.0944917658654085, "edge_rotational_transform_over_n_field_periods": 0.04987743357949566, "minimum_normalized_magnetic_gradient_scale_length": 2.801799265483919}

9.648871

193.451637

0.478132

0.282993

0.094492

0.328542

0.049877

0.674522

5.583782

2.801799

0.007612

0.080623

{"r_cos":[[0.0,0.0,0.0,0.0,0.9954004645239394,-0.013957411410831889,-0.19500264906595444,-0.002800572312500249,0.00982181719653848],[0.0031869550075963155,-0.013629929757269656,0.01420511816304638,0.01524829803966392,0.07041127445374781,-0.02550308463160174,0.0302407999332965,-0.01157259575413342,0.0014978781564364322],[-0.0013058201932971618,-0.0012068665668896442,0.0153630356615312,0.021172647350970922,-0.015345497532105193,-0.019373074215944378,0.0023450008653198347,0.005354286139315247,1.3879516611661497e-6],[0.0004897147236213281,0.0006576439360673612,-0.0014029419841099582,-0.0017084832111212286,0.002513819420228462,0.0026505507825682556,0.0018537926088935555,-0.0008609582134690908,0.0007220255560708096],[0.00010271875152279292,0.00008270204697162227,-0.00022207842278957178,-0.0006259673146751184,-0.00018125727315343942,0.0008727642856651035,0.0001901629494945579,0.0001791279698623746,-0.00012456993886103183]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12586017801741897,-0.011494917702359825,-0.009807296253473709,0.004773954303924343],[0.0008342823101674,-0.0032813587548828254,0.024964812402857008,-0.10105951887249233,-0.09805156604428328,0.09728078402476988,-0.008385595691571712,0.003098502303244443,-0.0013112397727681356],[0.0007836467483770534,0.0009799846902450815,-0.00019136780565844275,-0.006730548333480558,-0.0016356047224795468,0.003690863382152516,0.006421715187809027,0.003465269202164836,-0.00009497926564518524],[-0.00023478989320031276,-0.0013222978826764537,-0.003480427135357475,0.001704858852165322,-0.0019658462399304477,0.0016054825789972498,-0.0028372645481880075,0.00018840837504542564,0.0002762024339914346],[0.00008263602343646292,0.00022254736453467154,0.00024061528507445852,0.00041404478064625605,-0.0010236634803669265,0.00048576559582954925,-0.00011263574178091266,-0.000081470939555589,-0.00003716546142645263]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9954004645239394, -0.013957411410831889, -0.19500264906595444, -0.002800572312500249, 0.00982181719653848 ], [ 0.0031869550075963155, -0.013629929757269656, 0.01420511816304638, 0.01524829803966392, 0.07041127445374781, -0.02550308463160174, 0.0302407999332965, -0.01157259575413342, 0.0014978781564364322 ], [ -0.0013058201932971618, -0.0012068665668896442, 0.0153630356615312, 0.021172647350970922, -0.015345497532105193, -0.019373074215944378, 0.0023450008653198347, 0.005354286139315247, 0.0000013879516611661497 ], [ 0.0004897147236213281, 0.0006576439360673612, -0.0014029419841099582, -0.0017084832111212286, 0.002513819420228462, 0.0026505507825682556, 0.0018537926088935555, -0.0008609582134690908, 0.0007220255560708096 ], [ 0.00010271875152279292, 0.00008270204697162227, -0.00022207842278957178, -0.0006259673146751184, -0.00018125727315343942, 0.0008727642856651035, 0.0001901629494945579, 0.0001791279698623746, -0.00012456993886103183 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12586017801741897, -0.011494917702359825, -0.009807296253473709, 0.004773954303924343 ], [ 0.0008342823101674, -0.0032813587548828254, 0.024964812402857008, -0.10105951887249233, -0.09805156604428328, 0.09728078402476988, -0.008385595691571712, 0.003098502303244443, -0.0013112397727681356 ], [ 0.0007836467483770534, 0.0009799846902450815, -0.00019136780565844275, -0.006730548333480558, -0.0016356047224795468, 0.003690863382152516, 0.006421715187809027, 0.003465269202164836, -0.00009497926564518524 ], [ -0.00023478989320031276, -0.0013222978826764537, -0.003480427135357475, 0.001704858852165322, -0.0019658462399304477, 0.0016054825789972498, -0.0028372645481880075, 0.00018840837504542564, 0.0002762024339914346 ], [ 0.00008263602343646292, 0.00022254736453467154, 0.00024061528507445852, 0.00041404478064625605, -0.0010236634803669265, 0.00048576559582954925, -0.00011263574178091266, -0.000081470939555589, -0.00003716546142645263 ] ]

DnVvRs4gtUttfavJ36GRFkC

{"aspect_ratio": 9.749044676617002, "major_radius": 1.0, "max_elongation": 5.558876397705804, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2041625888062857, -0.22252818478579903, 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": [[0.811404700981864, 0.8114047315317167, 0.811405575270987, 0.8114108541863098, 0.8114290798883763, 0.8114751872637593, 0.8115716457967548, 0.8117492048254493, 0.8120473100992982, 0.8125142204354587, 0.8132068485824296, 0.8141903475740763, 0.81553746206434, 0.8173276629739793, 0.8196460830436483, 0.8225822704518252, 0.8262287774498172, 0.8306796009458463, 0.8360284921101736, 0.842367152359235, 0.849783333503226, 0.8583588604096605, 0.8681675952522884, 0.879273363293364, 0.8917278612068177, 0.905568570216707, 0.9208166978343559, 0.9374751737745466, 0.955526727775684, 0.9749320796190786, 0.995628274741212, 1.017527202596762, 1.0405143395431813, 1.0644477637304892, 1.0891574966399717, 1.1144452350122211, 1.1400845486420614, 1.1658216349295234, 1.1913767417201115, 1.2164463982584535, 1.2407066338808876, 1.2638174218021176, 1.2854286721398565, 1.3051882344919186, 1.3227525954012802, 1.3378013526345343, 1.3500573073253737, 1.3593156378659055, 1.3654896826201708, 1.3686939818878798, 1.3694613734150114], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.12261918507063707}

9.749045

1

5.558876

[ [ 0.811404700981864, 0.8114047315317167, 0.811405575270987, 0.8114108541863098, 0.8114290798883763, 0.8114751872637593, 0.8115716457967548, 0.8117492048254493, 0.8120473100992982, 0.8125142204354587, 0.8132068485824296, 0.8141903475740763, 0.81553746206434, 0.8173276629739793, 0.8196460830436483, 0.8225822704518252, 0.8262287774498172, 0.8306796009458463, 0.8360284921101736, 0.842367152359235, 0.849783333503226, 0.8583588604096605, 0.8681675952522884, 0.879273363293364, 0.8917278612068177, 0.905568570216707, 0.9208166978343559, 0.9374751737745466, 0.955526727775684, 0.9749320796190786, 0.995628274741212, 1.017527202596762, 1.0405143395431813, 1.0644477637304892, 1.0891574966399717, 1.1144452350122211, 1.1400845486420614, 1.1658216349295234, 1.1913767417201115, 1.2164463982584535, 1.2407066338808876, 1.2638174218021176, 1.2854286721398565, 1.3051882344919186, 1.3227525954012802, 1.3378013526345343, 1.3500573073253737, 1.3593156378659055, 1.3654896826201708, 1.3686939818878798, 1.3694613734150114 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2041625888062857, -0.22252818478579903, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.122619

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

DmhycaYwaxhtdahRkQ9vEwb

null

false

null

false

DZZ6GDUrWm3AnVKpB9UedKv

DUEUdyuj79ZRNhNrZp8cNfG

{"qi": 0.0015476902811569445, "vacuum_well": -0.11274124777575263, "aspect_ratio": 9.568707733240124, "max_elongation": 5.880188770548314, "average_triangularity": -0.494843176987342, "axis_magnetic_mirror_ratio": 0.26654337160226166, "edge_magnetic_mirror_ratio": 0.3018562665528315, "aspect_ratio_over_edge_rotational_transform": 12.673682132755577, "flux_compression_in_regions_of_bad_curvature": 1.6358497740672004, "axis_rotational_transform_over_n_field_periods": 0.2348083367053286, "edge_rotational_transform_over_n_field_periods": 0.2516687108768352, "minimum_normalized_magnetic_gradient_scale_length": 7.032791486418766}

9.568708

12.673682

-0.756473

0.266543

0.234808

0.301856

0.251669

1.63585

5.880189

7.032791

0.001548

-0.112741

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.006969976268475555,-0.029048588449016637,-0.0004253713912416423,0.00015049596013658314],[-0.0003580481561185755,0.0027400359302259063,0.019875227682126767,-0.09235566797839143,0.10335915572506947,0.007512663062563332,-0.0025078296686786242,0.0008122606498577196,-0.0003674334266807069],[-0.00039743593781722505,0.004405370915138259,-0.013681475610372928,0.007792766170106184,-0.012514895827274936,0.001699968733580691,-0.0006451193795580139,-0.00018637681329853857,-0.00005651379474344722],[0.0008557496215411717,-0.003557313574711552,0.004579050502659097,0.0030747894869613494,-0.007731923701077817,0.00006294467361851589,-0.0008466220611827099,-0.00003918616087755984,-0.000022274914698150905],[-0.00017950689754760862,0.0005327203473468315,-0.0006122923550335034,-0.000538776616595695,-0.0011061510151281228,-0.0003766386592030232,-0.00043422360927219137,-0.0000792487202069769,-0.000053661057477650284]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14530200253976178,0.01046370130893809,0.003338924710630912,0.00019823115237985536],[-0.0007150124973346072,0.00029685570198760797,0.025982326592018087,-0.06032881118116925,-0.16871277233309745,-0.004582106124989417,-0.005194483715608702,-0.0006734744061407807,0.0001870322243178705],[0.0004011087978956304,0.002374909927401616,-0.008368799444351368,0.0015956048962040168,-0.0060711510845332505,0.0009032700381106804,-0.0017198234163093044,-0.00002065433610925582,-0.00010663491260222611],[-0.000021180698332636638,0.0008944539577215117,-0.0020448719121282694,-0.0009916666521336951,-0.003423647506484191,-0.0009929321104501666,-0.0006756810572931924,-0.00009434552788840629,-0.000041840649003824904],[0.00014308355827379895,-0.0004785959113478384,-0.00004362375294968796,-0.00018788934748681255,-0.00008414917393550787,0.000273549530162512,0.00010503082963971672,0.00005998288011804784,0.000029750451390860933]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.006969976268475555, -0.029048588449016637, -0.0004253713912416423, 0.00015049596013658314 ], [ -0.0003580481561185755, 0.0027400359302259063, 0.019875227682126767, -0.09235566797839143, 0.10335915572506947, 0.007512663062563332, -0.0025078296686786242, 0.0008122606498577196, -0.0003674334266807069 ], [ -0.00039743593781722505, 0.004405370915138259, -0.013681475610372928, 0.007792766170106184, -0.012514895827274936, 0.001699968733580691, -0.0006451193795580139, -0.00018637681329853857, -0.00005651379474344722 ], [ 0.0008557496215411717, -0.003557313574711552, 0.004579050502659097, 0.0030747894869613494, -0.007731923701077817, 0.00006294467361851589, -0.0008466220611827099, -0.00003918616087755984, -0.000022274914698150905 ], [ -0.00017950689754760862, 0.0005327203473468315, -0.0006122923550335034, -0.000538776616595695, -0.0011061510151281228, -0.0003766386592030232, -0.00043422360927219137, -0.0000792487202069769, -0.000053661057477650284 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14530200253976178, 0.01046370130893809, 0.003338924710630912, 0.00019823115237985536 ], [ -0.0007150124973346072, 0.00029685570198760797, 0.025982326592018087, -0.06032881118116925, -0.16871277233309745, -0.004582106124989417, -0.005194483715608702, -0.0006734744061407807, 0.0001870322243178705 ], [ 0.0004011087978956304, 0.002374909927401616, -0.008368799444351368, 0.0015956048962040168, -0.0060711510845332505, 0.0009032700381106804, -0.0017198234163093044, -0.00002065433610925582, -0.00010663491260222611 ], [ -0.000021180698332636638, 0.0008944539577215117, -0.0020448719121282694, -0.0009916666521336951, -0.003423647506484191, -0.0009929321104501666, -0.0006756810572931924, -0.00009434552788840629, -0.000041840649003824904 ], [ 0.00014308355827379895, -0.0004785959113478384, -0.00004362375294968796, -0.00018788934748681255, -0.00008414917393550787, 0.000273549530162512, 0.00010503082963971672, 0.00005998288011804784, 0.000029750451390860933 ] ]

DAKqVLnmKFeMRWUL5XFo9e7

{"aspect_ratio": 10.020478693717738, "major_radius": 1.0, "max_elongation": 5.868431355828297, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.013142128510891934, 0.0876966936326605, 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": [[0.7147501907243958, 0.714750389860995, 0.7147561921000951, 0.7147929390025606, 0.7149187794854518, 0.7152308349317164, 0.7158657585031184, 0.7169959316190501, 0.7188224232303687, 0.7215657157014466, 0.7254550807826358, 0.7307173724668182, 0.7375658914903062, 0.746189869416387, 0.7567450189712179, 0.7693455018160313, 0.7840575754022008, 0.8008950970935185, 0.8198169864556295, 0.8407266755927691, 0.8634735127332223, 0.8878560259970132, 0.9136269024876876, 0.9404994925977953, 0.9681556107669225, 0.9962543719442737, 1.0244417777484656, 1.052360747851389, 1.0796612805098633, 1.1060104215019744, 1.1311017230735703, 1.1546638839503958, 1.1764682781174869, 1.196335104015016, 1.2141379171674005, 1.229806348185444, 1.243326854715988, 1.2547414104435273, 1.2641440968925397, 1.271675634803997, 1.2775159715951214, 1.2818751302779745, 1.2849826237593607, 1.2870758474143689, 1.2883879832628915, 1.2891360825234361, 1.2895101421859163, 1.289664159623825, 1.2897103448474407, 1.2897179096481146, 1.2897181847108674], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7397148309498729}

10.020479

1

5.868431

[ [ 0.7147501907243958, 0.714750389860995, 0.7147561921000951, 0.7147929390025606, 0.7149187794854518, 0.7152308349317164, 0.7158657585031184, 0.7169959316190501, 0.7188224232303687, 0.7215657157014466, 0.7254550807826358, 0.7307173724668182, 0.7375658914903062, 0.746189869416387, 0.7567450189712179, 0.7693455018160313, 0.7840575754022008, 0.8008950970935185, 0.8198169864556295, 0.8407266755927691, 0.8634735127332223, 0.8878560259970132, 0.9136269024876876, 0.9404994925977953, 0.9681556107669225, 0.9962543719442737, 1.0244417777484656, 1.052360747851389, 1.0796612805098633, 1.1060104215019744, 1.1311017230735703, 1.1546638839503958, 1.1764682781174869, 1.196335104015016, 1.2141379171674005, 1.229806348185444, 1.243326854715988, 1.2547414104435273, 1.2641440968925397, 1.271675634803997, 1.2775159715951214, 1.2818751302779745, 1.2849826237593607, 1.2870758474143689, 1.2883879832628915, 1.2891360825234361, 1.2895101421859163, 1.289664159623825, 1.2897103448474407, 1.2897179096481146, 1.2897181847108674 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.013142128510891934, 0.0876966936326605, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.739715

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

DXbshH65QhCoq7XjjxY3ju7

null

false

null

false

D9CVYFqz7DKGRA2LV3jxcns

DUCHxeMjb4BqtEAofGJgB7D

{"qi": 0.010000984413149078, "vacuum_well": -0.20509277257083902, "aspect_ratio": 9.831272793990417, "max_elongation": 4.095875793654639, "average_triangularity": -0.46031418853250206, "axis_magnetic_mirror_ratio": 0.31435434323199707, "edge_magnetic_mirror_ratio": 0.37408480207320816, "aspect_ratio_over_edge_rotational_transform": 22.22192092824867, "flux_compression_in_regions_of_bad_curvature": 0.7663982304038064, "axis_rotational_transform_over_n_field_periods": 0.20557511867457975, "edge_rotational_transform_over_n_field_periods": 0.11060331851749178, "minimum_normalized_magnetic_gradient_scale_length": 6.215643611212938}

9.831273

22.221921

-0.800866

0.314354

0.205575

0.374085

0.110603

0.766398

4.095876

6.215644

0.010001

-0.205093

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.04460071315369343,-0.0033851705101999655,0.0015627952738237999,0.000016570518623486644],[-0.00010638317903483524,-0.004094724970878002,0.02951854680035388,-0.01800998801589602,0.09086682904979546,0.010079782082131533,-0.005121473958254866,0.00003372873669037907,0.00008288580835709248],[-0.0014427268903087092,0.005349481017264886,-0.025633994426962327,0.004565918682121143,-0.00368108615472312,0.005521414980934874,-0.0037342540569845293,0.00024925985166444637,0.00038638080072079086],[0.000935019405658148,-0.002805515532739622,0.005908684062694414,0.0028119337068807527,0.0034887759596115386,0.002480652797063213,-0.0008533662483371975,0.000012159116901060314,0.00021539633563757548],[-0.0001110099662472471,0.0002671825687467967,-0.001118478786229831,0.0001078028130315376,0.00046059470885989503,0.0009338452299610467,-0.00026424143734488656,0.000052367984322382644,0.00006990681976816599]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03269985975462639,0.006893678576161484,-0.0010004959926313629,-0.00015487076313702199],[-0.0006613079200012552,-0.005654852052652495,0.0262512808279374,0.019176045832392023,-0.13954983078459343,0.021343460940022384,0.006025057788769002,-0.0013041561122129793,-0.00038312593050242186],[-0.0017567538646415881,0.007625423339660908,-0.021251208603927742,-0.0004656899523524296,-0.015819380786728465,0.0018402380621924913,0.006419511023061941,-0.0011078899995326675,-0.00036602117792843437],[0.000725648031569326,-0.003138789259071523,0.0064960978447011035,-0.00034393196920202084,-0.004603102928382077,-0.0014898767295189975,0.0018432558637608873,-7.980248119512229e-6,-0.0002560197227650887],[0.000020126641028270484,-0.00011795111921291455,-0.00028376848603485933,-0.00031719637048140684,-0.0009186061179551944,-0.0004929115619392911,0.0005015218307558899,-0.00004205055691857916,-0.00007794429931486234]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.04460071315369343, -0.0033851705101999655, 0.0015627952738237999, 0.000016570518623486644 ], [ -0.00010638317903483524, -0.004094724970878002, 0.02951854680035388, -0.01800998801589602, 0.09086682904979546, 0.010079782082131533, -0.005121473958254866, 0.00003372873669037907, 0.00008288580835709248 ], [ -0.0014427268903087092, 0.005349481017264886, -0.025633994426962327, 0.004565918682121143, -0.00368108615472312, 0.005521414980934874, -0.0037342540569845293, 0.00024925985166444637, 0.00038638080072079086 ], [ 0.000935019405658148, -0.002805515532739622, 0.005908684062694414, 0.0028119337068807527, 0.0034887759596115386, 0.002480652797063213, -0.0008533662483371975, 0.000012159116901060314, 0.00021539633563757548 ], [ -0.0001110099662472471, 0.0002671825687467967, -0.001118478786229831, 0.0001078028130315376, 0.00046059470885989503, 0.0009338452299610467, -0.00026424143734488656, 0.000052367984322382644, 0.00006990681976816599 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03269985975462639, 0.006893678576161484, -0.0010004959926313629, -0.00015487076313702199 ], [ -0.0006613079200012552, -0.005654852052652495, 0.0262512808279374, 0.019176045832392023, -0.13954983078459343, 0.021343460940022384, 0.006025057788769002, -0.0013041561122129793, -0.00038312593050242186 ], [ -0.0017567538646415881, 0.007625423339660908, -0.021251208603927742, -0.0004656899523524296, -0.015819380786728465, 0.0018402380621924913, 0.006419511023061941, -0.0011078899995326675, -0.00036602117792843437 ], [ 0.000725648031569326, -0.003138789259071523, 0.0064960978447011035, -0.00034393196920202084, -0.004603102928382077, -0.0014898767295189975, 0.0018432558637608873, -0.000007980248119512229, -0.0002560197227650887 ], [ 0.000020126641028270484, -0.00011795111921291455, -0.00028376848603485933, -0.00031719637048140684, -0.0009186061179551944, -0.0004929115619392911, 0.0005015218307558899, -0.00004205055691857916, -0.00007794429931486234 ] ]

DPzv2MSYopbX36JuzTfyAok

{"aspect_ratio": 10.277452332727023, "major_radius": 1.0, "max_elongation": 6.250254708937618, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.057601631406208345, -0.006240639977396103, 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": [[0.7099572197165163, 0.7099572776736968, 0.7099591670557718, 0.7099721273903314, 0.7100194738995543, 0.710143657251198, 0.7104095143059297, 0.7109057568386116, 0.7117448289827738, 0.7130613045692132, 0.7150090168727863, 0.717757124207513, 0.7214853192668271, 0.7263783901678009, 0.7326203380255558, 0.7403882503006851, 0.7498461216134904, 0.7611388045325301, 0.7743862622494664, 0.7896782832081454, 0.8070698047765934, 0.8265769790147769, 0.8481740985504674, 0.8717914845607811, 0.8973144218799977, 0.9245832083106584, 0.9533943662844435, 0.983503045065655, 1.0146266206598455, 1.0464494784105367, 1.0786289398428952, 1.110802270522378, 1.1425946793825972, 1.1736281919409532, 1.2035312498078083, 1.2319488565753163, 1.2585530551141328, 1.283053482937266, 1.305207709835721, 1.3248310143804927, 1.3418052016043955, 1.356086001015046, 1.3677085087098941, 1.3767900445166223, 1.3835296760927263, 1.3882035015547265, 1.3911545516008506, 1.392775810779426, 1.3934842201865711, 1.393682179615472, 1.3936991083425592], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7524649651426183}

10.277452

1

6.250255

[ [ 0.7099572197165163, 0.7099572776736968, 0.7099591670557718, 0.7099721273903314, 0.7100194738995543, 0.710143657251198, 0.7104095143059297, 0.7109057568386116, 0.7117448289827738, 0.7130613045692132, 0.7150090168727863, 0.717757124207513, 0.7214853192668271, 0.7263783901678009, 0.7326203380255558, 0.7403882503006851, 0.7498461216134904, 0.7611388045325301, 0.7743862622494664, 0.7896782832081454, 0.8070698047765934, 0.8265769790147769, 0.8481740985504674, 0.8717914845607811, 0.8973144218799977, 0.9245832083106584, 0.9533943662844435, 0.983503045065655, 1.0146266206598455, 1.0464494784105367, 1.0786289398428952, 1.110802270522378, 1.1425946793825972, 1.1736281919409532, 1.2035312498078083, 1.2319488565753163, 1.2585530551141328, 1.283053482937266, 1.305207709835721, 1.3248310143804927, 1.3418052016043955, 1.356086001015046, 1.3677085087098941, 1.3767900445166223, 1.3835296760927263, 1.3882035015547265, 1.3911545516008506, 1.392775810779426, 1.3934842201865711, 1.393682179615472, 1.3936991083425592 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.057601631406208345, -0.006240639977396103, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.752465

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

DKGkVodLaZFmSZFMHa7JA96

null

false

null

false

DC4pMomcN6iNQq3jLeNQABi

D4X5hrJCiaNseXYFQJNtcxS

{"qi": 0.018789485997092587, "vacuum_well": -0.061752221559064915, "aspect_ratio": 6.3916679693525955, "max_elongation": 10.403102151110437, "average_triangularity": -0.463113118541441, "axis_magnetic_mirror_ratio": 0.5470950573909135, "edge_magnetic_mirror_ratio": 0.7837349278738756, "aspect_ratio_over_edge_rotational_transform": 10.287972711466315, "flux_compression_in_regions_of_bad_curvature": 3.454911308936179, "axis_rotational_transform_over_n_field_periods": 0.1613810833675105, "edge_rotational_transform_over_n_field_periods": 0.15531893767148244, "minimum_normalized_magnetic_gradient_scale_length": 1.8834162667314813}

6.391668

10.287973

-0.60082

0.547095

0.161381

0.783735

0.155319

3.454911

10.403102

1.883416

0.018789

-0.061752

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.37115562378159217,-0.060721043904003597,-0.02383732666773176,0.004861819769934494],[0.0011896174490633466,-0.0001082875384170066,0.014772834945334552,0.0730040229168818,0.06236998852237337,-0.05310541661399748,0.010944380655075123,0.004143569377186688,-0.0020657117121786837],[0.0004842472866985821,-0.002176628151685028,-0.005397343703924867,0.0011215819685731205,-0.008719688514125246,0.0014091827817625416,-0.007652696826884129,0.003218060196695588,-0.0011657703082582824],[0.00032897299067006174,0.0011062705167903452,0.0016514353019264954,0.00007799478438034012,-0.0005611932992887082,0.00023648271285065347,-0.0009397248584870532,0.0006140696263161197,-0.0002253307211867737],[-0.0002857507314457146,-0.00005310556391257041,0.00007143509937240035,-0.00011499542946826705,-2.423463979946139e-6,0.00012704322503853584,-0.0003753293731092442,0.00014807361201506935,-0.00009022974925865782]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.08876782405435868,0.05836545736381411,0.007945557055413693,-0.0044246029480482976],[0.00043371974559830917,0.015971306670380343,0.06187414179072492,0.02297078754506708,-0.2575707681961918,0.10340725466229599,-0.042442769994730505,0.007247166689107843,-0.0010283427340602737],[-0.0031209902477732795,-0.009107746454565285,-0.003971825529970111,-0.0027360510121526094,-0.012914149350902225,-0.0006562676027652072,0.00882844675459658,-0.0017975449733908166,0.0010550627657421254],[0.0007085355188350072,0.001375211890680496,-0.002971872475752348,-0.004204414529235848,-0.001465040590146177,0.0000269191238660804,-0.0017458703347023115,0.0006695861801556799,-0.0001464983655528676],[0.0001511965399516263,0.0002638272781133157,-0.0003746884546215844,0.0006091586506589127,0.000019937458447880308,-0.0010235658715213277,0.000921956788508912,-0.00034300997267477245,0.00026091188874473553]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.37115562378159217, -0.060721043904003597, -0.02383732666773176, 0.004861819769934494 ], [ 0.0011896174490633466, -0.0001082875384170066, 0.014772834945334552, 0.0730040229168818, 0.06236998852237337, -0.05310541661399748, 0.010944380655075123, 0.004143569377186688, -0.0020657117121786837 ], [ 0.0004842472866985821, -0.002176628151685028, -0.005397343703924867, 0.0011215819685731205, -0.008719688514125246, 0.0014091827817625416, -0.007652696826884129, 0.003218060196695588, -0.0011657703082582824 ], [ 0.00032897299067006174, 0.0011062705167903452, 0.0016514353019264954, 0.00007799478438034012, -0.0005611932992887082, 0.00023648271285065347, -0.0009397248584870532, 0.0006140696263161197, -0.0002253307211867737 ], [ -0.0002857507314457146, -0.00005310556391257041, 0.00007143509937240035, -0.00011499542946826705, -0.000002423463979946139, 0.00012704322503853584, -0.0003753293731092442, 0.00014807361201506935, -0.00009022974925865782 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.08876782405435868, 0.05836545736381411, 0.007945557055413693, -0.0044246029480482976 ], [ 0.00043371974559830917, 0.015971306670380343, 0.06187414179072492, 0.02297078754506708, -0.2575707681961918, 0.10340725466229599, -0.042442769994730505, 0.007247166689107843, -0.0010283427340602737 ], [ -0.0031209902477732795, -0.009107746454565285, -0.003971825529970111, -0.0027360510121526094, -0.012914149350902225, -0.0006562676027652072, 0.00882844675459658, -0.0017975449733908166, 0.0010550627657421254 ], [ 0.0007085355188350072, 0.001375211890680496, -0.002971872475752348, -0.004204414529235848, -0.001465040590146177, 0.0000269191238660804, -0.0017458703347023115, 0.0006695861801556799, -0.0001464983655528676 ], [ 0.0001511965399516263, 0.0002638272781133157, -0.0003746884546215844, 0.0006091586506589127, 0.000019937458447880308, -0.0010235658715213277, 0.000921956788508912, -0.00034300997267477245, 0.00026091188874473553 ] ]

D3BfQow3hVKeRANNJv4TiBe

{"aspect_ratio": 5.741534920838351, "major_radius": 1.0, "max_elongation": 5.764906675263367, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.08666440872106929, 0.14853596790806994, 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": [[0.7194670022494709, 0.7195333498174694, 0.7199378791331984, 0.7209296293334119, 0.7227053386949713, 0.725421573616241, 0.72920081201544, 0.7341355320373228, 0.7402913411086132, 0.7477095561986904, 0.7564094350543764, 0.7663901686211746, 0.7776327010492023, 0.7901014199898717, 0.8037457460811231, 0.8185016419864909, 0.8342930558266639, 0.8510333101211088, 0.8686264447691877, 0.886968520749685, 0.9059488898627598, 0.9254514348257126, 0.9453557832634236, 0.9655384985387467, 0.9858742499014517, 1.0062369640642435, 1.0265009600179622, 1.0465420686586688, 1.0662387386047427, 1.085473129423408, 1.104132193356533, 1.1221087465302582, 1.1393025305483961, 1.1556212653031728, 1.1709816937873416, 1.1853106196584315, 1.1985459382895496, 1.210637662043538, 1.2215489405321265, 1.231257076675301, 1.2397545394690233, 1.247049974519383, 1.2531692136385573, 1.2581562851766988, 1.2620744273855162, 1.2650071081777394, 1.267059056608406, 1.2683573153576226, 1.2690523326213325, 1.2693191380063913, 1.269358766699848], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.598458429388851}

5.741535

1

5.764907

[ [ 0.7194670022494709, 0.7195333498174694, 0.7199378791331984, 0.7209296293334119, 0.7227053386949713, 0.725421573616241, 0.72920081201544, 0.7341355320373228, 0.7402913411086132, 0.7477095561986904, 0.7564094350543764, 0.7663901686211746, 0.7776327010492023, 0.7901014199898717, 0.8037457460811231, 0.8185016419864909, 0.8342930558266639, 0.8510333101211088, 0.8686264447691877, 0.886968520749685, 0.9059488898627598, 0.9254514348257126, 0.9453557832634236, 0.9655384985387467, 0.9858742499014517, 1.0062369640642435, 1.0265009600179622, 1.0465420686586688, 1.0662387386047427, 1.085473129423408, 1.104132193356533, 1.1221087465302582, 1.1393025305483961, 1.1556212653031728, 1.1709816937873416, 1.1853106196584315, 1.1985459382895496, 1.210637662043538, 1.2215489405321265, 1.231257076675301, 1.2397545394690233, 1.247049974519383, 1.2531692136385573, 1.2581562851766988, 1.2620744273855162, 1.2650071081777394, 1.267059056608406, 1.2683573153576226, 1.2690523326213325, 1.2693191380063913, 1.269358766699848 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.08666440872106929, 0.14853596790806994, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.598458

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

D88FZzvB6syNFkLCYVB79jX

null

false

null

false

Dh2UA9UQLdXRxFxPwTdfKkd

D49X5jGXUzfckZcfTFBmAuC

{"qi": 0.05644602268820313, "vacuum_well": -0.07062138353683618, "aspect_ratio": 9.277843743727209, "max_elongation": 5.083310499852849, "average_triangularity": -0.5542525018139102, "axis_magnetic_mirror_ratio": 0.32414210661876364, "edge_magnetic_mirror_ratio": 0.463627539855464, "aspect_ratio_over_edge_rotational_transform": 9.351165150238057, "flux_compression_in_regions_of_bad_curvature": 1.3582985373466578, "axis_rotational_transform_over_n_field_periods": 0.19291862131581486, "edge_rotational_transform_over_n_field_periods": 0.19843182308658122, "minimum_normalized_magnetic_gradient_scale_length": 5.459701918380998}

9.277844

9.351165

-0.924803

0.324142

0.192919

0.463628

0.198432

1.358299

5.08331

5.459702

0.056446

-0.070621

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.07381412736827686,-0.020605946331327608,-0.0019617576070846696,0.0012059926448114379],[0.0003820325868959638,0.0023434824159852628,0.01638544684297929,0.04279249189937983,0.08830771198766323,-0.006064602765664388,-0.009756094470020564,-0.00011874250364042778,0.00009733641275022785],[0.00008519355362641684,0.002596949908127565,-0.016675162441744384,0.00989811288004171,-0.019446579760488077,0.0005611196936192641,-0.0015396983086892677,-0.000655364752575259,0.00008217048629380792],[-0.0001698599249300495,-0.0016024930768226003,0.004692257761147903,0.0008510209335320562,0.00019295851691958788,0.001663653728109187,-0.00071012360762918,-0.00020072382605166282,-0.00006316855520770127],[-0.00031494708709260374,0.0011851274758883578,-0.0015032617960891626,0.00002112940246795693,0.00037748900714609616,-0.00034349002441082114,-0.000151630528483377,-0.00006125333751474406,0.000021008484286944707]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.07395130682462933,0.01615379421656231,0.0011397917927642555,-0.0006985686900837541],[0.0015334096293270047,0.0035576360357134308,0.01121216664484467,0.0814209951209439,-0.17074875990730998,-0.010585179221309415,0.0032482450666431765,0.0009986119457745055,0.00016301732810184984],[-0.0009083312036833789,-0.00034373370929771023,-0.008612919045375138,-0.01596906381347353,-0.0037118658635473946,0.0003874150232426538,0.0015483546884508545,0.0007843807302820044,-0.000017592560457868785],[-0.0002217927408464366,-0.0005214980169292553,-0.0012816563027151773,-0.002175293999668558,-0.0018269537819902123,-0.0018972633938176724,-0.00033889090947259825,0.00011661757081992701,0.00016210407832049228],[-3.0042108368232897e-6,0.000196531050182404,-0.000302847794636322,0.000599712467579359,-0.0003053792566879174,-0.00013268981905166028,0.000028280208620277405,0.00013642224216546525,0.0000192702632243239]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.07381412736827686, -0.020605946331327608, -0.0019617576070846696, 0.0012059926448114379 ], [ 0.0003820325868959638, 0.0023434824159852628, 0.01638544684297929, 0.04279249189937983, 0.08830771198766323, -0.006064602765664388, -0.009756094470020564, -0.00011874250364042778, 0.00009733641275022785 ], [ 0.00008519355362641684, 0.002596949908127565, -0.016675162441744384, 0.00989811288004171, -0.019446579760488077, 0.0005611196936192641, -0.0015396983086892677, -0.000655364752575259, 0.00008217048629380792 ], [ -0.0001698599249300495, -0.0016024930768226003, 0.004692257761147903, 0.0008510209335320562, 0.00019295851691958788, 0.001663653728109187, -0.00071012360762918, -0.00020072382605166282, -0.00006316855520770127 ], [ -0.00031494708709260374, 0.0011851274758883578, -0.0015032617960891626, 0.00002112940246795693, 0.00037748900714609616, -0.00034349002441082114, -0.000151630528483377, -0.00006125333751474406, 0.000021008484286944707 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.07395130682462933, 0.01615379421656231, 0.0011397917927642555, -0.0006985686900837541 ], [ 0.0015334096293270047, 0.0035576360357134308, 0.01121216664484467, 0.0814209951209439, -0.17074875990730998, -0.010585179221309415, 0.0032482450666431765, 0.0009986119457745055, 0.00016301732810184984 ], [ -0.0009083312036833789, -0.00034373370929771023, -0.008612919045375138, -0.01596906381347353, -0.0037118658635473946, 0.0003874150232426538, 0.0015483546884508545, 0.0007843807302820044, -0.000017592560457868785 ], [ -0.0002217927408464366, -0.0005214980169292553, -0.0012816563027151773, -0.002175293999668558, -0.0018269537819902123, -0.0018972633938176724, -0.00033889090947259825, 0.00011661757081992701, 0.00016210407832049228 ], [ -0.0000030042108368232897, 0.000196531050182404, -0.000302847794636322, 0.000599712467579359, -0.0003053792566879174, -0.00013268981905166028, 0.000028280208620277405, 0.00013642224216546525, 0.0000192702632243239 ] ]

DntgYvtTuDwWP3x5cyZ8yrm

{"aspect_ratio": 8.348700514913657, "major_radius": 1.0, "max_elongation": 4.568959528681249, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07719225207380283, -0.13046797977532645, 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": [[0.853145458729747, 0.8531461269399717, 0.8531570201861385, 0.8532056154458422, 0.8533367648881476, 0.8536098298060587, 0.8540953619073538, 0.8548716832666855, 0.8560215292066349, 0.8576288481494799, 0.8597758177016604, 0.86254011619328, 0.865992476119745, 0.870194537160526, 0.8751970100671923, 0.8810381578436554, 0.8877425967758213, 0.8953204166907544, 0.9037666171331016, 0.9130608538011405, 0.9231674874896065, 0.9340359258708586, 0.9456012466565057, 0.9577850889761423, 0.9704967981536007, 0.9836348074239724, 0.9970882384891455, 1.0107387011292386, 1.024462270345156, 1.0381316176747173, 1.0516182713691655, 1.0647949780008303, 1.077538135751225, 1.0897302670461544, 1.1012624952898489, 1.1120369871120837, 1.121969317659196, 1.1309907118671432, 1.139050109123648, 1.1461159919317017, 1.152177910652078, 1.1572476254088078, 1.1613597716619593, 1.1645719359440616, 1.166963999648946, 1.1686365657431474, 1.169708214313865, 1.1703112126173298, 1.170585069349078, 1.1706667674451212, 1.1706746418427303], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8952340160819063}

8.348701

1

4.56896

[ [ 0.853145458729747, 0.8531461269399717, 0.8531570201861385, 0.8532056154458422, 0.8533367648881476, 0.8536098298060587, 0.8540953619073538, 0.8548716832666855, 0.8560215292066349, 0.8576288481494799, 0.8597758177016604, 0.86254011619328, 0.865992476119745, 0.870194537160526, 0.8751970100671923, 0.8810381578436554, 0.8877425967758213, 0.8953204166907544, 0.9037666171331016, 0.9130608538011405, 0.9231674874896065, 0.9340359258708586, 0.9456012466565057, 0.9577850889761423, 0.9704967981536007, 0.9836348074239724, 0.9970882384891455, 1.0107387011292386, 1.024462270345156, 1.0381316176747173, 1.0516182713691655, 1.0647949780008303, 1.077538135751225, 1.0897302670461544, 1.1012624952898489, 1.1120369871120837, 1.121969317659196, 1.1309907118671432, 1.139050109123648, 1.1461159919317017, 1.152177910652078, 1.1572476254088078, 1.1613597716619593, 1.1645719359440616, 1.166963999648946, 1.1686365657431474, 1.169708214313865, 1.1703112126173298, 1.170585069349078, 1.1706667674451212, 1.1706746418427303 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.07719225207380283, -0.13046797977532645, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.895234

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

DRe85eSknG4SZ3J5hoi3sxS

null

false

null

false

DJQ5H9Em2M2Yvw9MBKcAAcn

Di8JJ4543Yo6YDrq7sJNEPN

{"qi": 0.0024902855042862482, "vacuum_well": -0.15027930752288002, "aspect_ratio": 9.764489809171614, "max_elongation": 6.69442668578991, "average_triangularity": 0.09478719939808783, "axis_magnetic_mirror_ratio": 0.268636509591115, "edge_magnetic_mirror_ratio": 0.3761498434555254, "aspect_ratio_over_edge_rotational_transform": 9.427909514965119, "flux_compression_in_regions_of_bad_curvature": 1.2460176656627748, "axis_rotational_transform_over_n_field_periods": 0.2111685963381691, "edge_rotational_transform_over_n_field_periods": 0.2071400832532861, "minimum_normalized_magnetic_gradient_scale_length": 9.008827042921418}

9.76449

9.42791

0.250551

0.268637

0.211169

0.37615

0.20714

1.246018

6.694427

9.008827

0.00249

-0.150279

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.05084104914862568,0.006163030101501201,-0.002120195927973145,-0.00009043592554904089],[0.0005425564350978743,-0.0002531572626128845,-0.017225281040053334,0.06272452242204829,0.09788349305069659,-0.027716425322779157,0.007896242027614988,-0.0015117485103072962,0.00044119343664891276],[0.0008585052131238592,0.000032871740682780155,0.007356974800800714,-0.02781742851630228,0.00465216442310875,-0.008638885152789984,0.0022847151656315264,-0.0011754568072998963,0.0002526266052132086],[-0.0003325652302201317,0.0010997281558954742,-0.004114295235680332,0.009317462872728449,0.005349903464558322,-0.001481051435269774,0.0009616261017343843,-0.00039637806289419546,0.00007453718614475408],[0.00021061633495274816,-0.0010137004021911315,-0.0004959832151889698,-0.0009766895826398988,-0.0013071420528913522,0.0003156406415315018,0.00023012635440351195,-0.00002177627459890312,0.00001561252995032406]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.00003281877248187924,-0.0062654632777349355,0.0025326528813098695,0.00017317417773406],[-0.0004174451798623978,-0.0011193500898041163,0.0009213846175966365,0.0659515288346599,-0.16037112079310176,0.03947442287140897,-0.00816158011897764,0.0004472733186843252,-0.00039769267729775635],[0.0006552670951812166,-0.0008721922201604048,0.009027813476519158,-0.033186407413836175,-0.007663461923396938,0.013347091559322965,-0.005682223477281827,0.0012100109457707823,-0.00026336699176538234],[-0.0007932420489407831,0.0024342208882147166,-0.0027763912458694164,-0.003510018735054455,0.00018869301256557735,-0.00017565388066229505,-0.001215412410959472,0.0006191308816579565,-0.00011845961861853602],[0.0000805465156985414,-0.0004350949206456253,0.0007212938335437516,-0.0007734494477947592,-0.00047268010828414213,-0.00014101911995519485,-0.00022190660270910464,0.00008151015736531847,-0.00004113517329524836]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.05084104914862568, 0.006163030101501201, -0.002120195927973145, -0.00009043592554904089 ], [ 0.0005425564350978743, -0.0002531572626128845, -0.017225281040053334, 0.06272452242204829, 0.09788349305069659, -0.027716425322779157, 0.007896242027614988, -0.0015117485103072962, 0.00044119343664891276 ], [ 0.0008585052131238592, 0.000032871740682780155, 0.007356974800800714, -0.02781742851630228, 0.00465216442310875, -0.008638885152789984, 0.0022847151656315264, -0.0011754568072998963, 0.0002526266052132086 ], [ -0.0003325652302201317, 0.0010997281558954742, -0.004114295235680332, 0.009317462872728449, 0.005349903464558322, -0.001481051435269774, 0.0009616261017343843, -0.00039637806289419546, 0.00007453718614475408 ], [ 0.00021061633495274816, -0.0010137004021911315, -0.0004959832151889698, -0.0009766895826398988, -0.0013071420528913522, 0.0003156406415315018, 0.00023012635440351195, -0.00002177627459890312, 0.00001561252995032406 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.00003281877248187924, -0.0062654632777349355, 0.0025326528813098695, 0.00017317417773406 ], [ -0.0004174451798623978, -0.0011193500898041163, 0.0009213846175966365, 0.0659515288346599, -0.16037112079310176, 0.03947442287140897, -0.00816158011897764, 0.0004472733186843252, -0.00039769267729775635 ], [ 0.0006552670951812166, -0.0008721922201604048, 0.009027813476519158, -0.033186407413836175, -0.007663461923396938, 0.013347091559322965, -0.005682223477281827, 0.0012100109457707823, -0.00026336699176538234 ], [ -0.0007932420489407831, 0.0024342208882147166, -0.0027763912458694164, -0.003510018735054455, 0.00018869301256557735, -0.00017565388066229505, -0.001215412410959472, 0.0006191308816579565, -0.00011845961861853602 ], [ 0.0000805465156985414, -0.0004350949206456253, 0.0007212938335437516, -0.0007734494477947592, -0.00047268010828414213, -0.00014101911995519485, -0.00022190660270910464, 0.00008151015736531847, -0.00004113517329524836 ] ]

D9XRhEF64eArxtU9aYbgEUt

{"aspect_ratio": 10.775046456570404, "major_radius": 1.0, "max_elongation": 6.399827342149406, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.13505838264444991, 0.10806331895336262, 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": [[0.6916331386904161, 0.6916331726768279, 0.6916344874454985, 0.6916444905349021, 0.6916837465936686, 0.691792343581975, 0.6920347065410889, 0.6925025257615763, 0.693315712359325, 0.6946214367616285, 0.6965913968635988, 0.6994175232909233, 0.7033063694646864, 0.7084724597268942, 0.7151308831798928, 0.7234894264504554, 0.7337405369349501, 0.7460534003983943, 0.760566403979593, 0.7773802383909956, 0.7965518719499346, 0.81808960449133, 0.8419493815703694, 0.8680325189912806, 0.8961849548775098, 0.9261981114802516, 0.9578114119337059, 0.9907164584168875, 1.0245628378718818, 1.0589654797489922, 1.0935134473900332, 1.1277800008144718, 1.1613337240395587, 1.1937504648591972, 1.2246257894627528, 1.253587608661114, 1.2803085871140607, 1.3045179021939757, 1.3260118754386063, 1.3446629575309745, 1.360426508177932, 1.373344776207702, 1.3835474541884256, 1.3912481581368754, 1.3967361699550271, 1.4003627839271282, 1.4025216293190699, 1.4036224192103948, 1.404057746583323, 1.4041629352873493, 1.4041700305425922], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.0220053632204489}

10.775046

1

6.399827

[ [ 0.6916331386904161, 0.6916331726768279, 0.6916344874454985, 0.6916444905349021, 0.6916837465936686, 0.691792343581975, 0.6920347065410889, 0.6925025257615763, 0.693315712359325, 0.6946214367616285, 0.6965913968635988, 0.6994175232909233, 0.7033063694646864, 0.7084724597268942, 0.7151308831798928, 0.7234894264504554, 0.7337405369349501, 0.7460534003983943, 0.760566403979593, 0.7773802383909956, 0.7965518719499346, 0.81808960449133, 0.8419493815703694, 0.8680325189912806, 0.8961849548775098, 0.9261981114802516, 0.9578114119337059, 0.9907164584168875, 1.0245628378718818, 1.0589654797489922, 1.0935134473900332, 1.1277800008144718, 1.1613337240395587, 1.1937504648591972, 1.2246257894627528, 1.253587608661114, 1.2803085871140607, 1.3045179021939757, 1.3260118754386063, 1.3446629575309745, 1.360426508177932, 1.373344776207702, 1.3835474541884256, 1.3912481581368754, 1.3967361699550271, 1.4003627839271282, 1.4025216293190699, 1.4036224192103948, 1.404057746583323, 1.4041629352873493, 1.4041700305425922 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.13505838264444991, 0.10806331895336262, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.022005

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

D9L7YL6Z7P7SB96m9pRXvaY

null

false

null

false

DfDEGxgmQpSKjFvi2hQasBQ

DGrchgY7Psgx8rekUi8Bgv8

{"qi": 0.06756568012139356, "vacuum_well": -0.10087553090973794, "aspect_ratio": 8.510858900994357, "max_elongation": 5.511167497950821, "average_triangularity": -0.5243627588958367, "axis_magnetic_mirror_ratio": 0.40189282542084714, "edge_magnetic_mirror_ratio": 0.636669348294318, "aspect_ratio_over_edge_rotational_transform": 13.197325012655053, "flux_compression_in_regions_of_bad_curvature": 1.5943509129749125, "axis_rotational_transform_over_n_field_periods": 0.13702029055930592, "edge_rotational_transform_over_n_field_periods": 0.12897854516476945, "minimum_normalized_magnetic_gradient_scale_length": 6.349832333657954}

8.510859

13.197325

-0.82478

0.401893

0.13702

0.636669

0.128979

1.594351

5.511167

6.349832

0.067566

-0.100876

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.22500635552131243,0.023316225768162672,0.0007918669882974218,0.00008427657032865441],[0.0018042637071262243,0.002408623249866298,-0.018736700458077238,-0.0807062511561246,0.09246290798954752,0.04931660441929682,0.006567475222156308,-0.004004885936016818,-0.001360763162080505],[-0.0005598262353643667,-0.0006449748837036285,-0.003279935245301372,0.003472018494868853,-0.016200469990592402,-0.0026415868915991977,0.0014548524754822698,0.0011221759214758548,-5.096829100962534e-6],[0.00018086101700539038,-0.00034932150495272984,0.0016430890800651452,-0.001604415414777741,0.00010652590550886634,0.0006397549567146273,-0.0008677249780925475,-0.0007681030878560302,-0.00011860013182324469],[-0.00020253626647014636,0.000780827288622618,-0.0002819776190484164,0.00007455395680386719,-0.00022633570184076067,0.0006220975055049953,0.00009220836956728072,-0.00028743536765896615,-6.981005195382664e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03607849922946542,-0.022552124541395,-0.005383153357219071,-0.000055072946702918936],[-0.00012757721109499633,0.002348093024071135,-0.004384329096983879,-0.014253623112206156,-0.15877527225252386,-0.013567585295173991,0.005930279222144702,0.0012625061317373333,0.00032498172954457293],[-0.000347781375323745,-0.0007566215412987369,-0.005482126070118491,0.016320698327284198,-0.023355179410521586,-0.011432310343091376,0.002164644771536419,0.0014491211248512511,9.832541057274352e-6],[0.00016053165610756148,-8.740878509581326e-6,-0.000659760798319255,0.008271410476676129,-0.0015272526247759226,-0.0016942148406764142,-0.0008033799430686526,0.00009026713603377417,0.00020117772158117762],[-1.4334439078631704e-6,-0.00017879615521434588,0.0005289766967241013,-0.0012924500757592508,0.00004266340522524905,0.0005358987231240825,0.0004542171757653408,0.00004454932255350251,-0.00003506902108384017]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.22500635552131243, 0.023316225768162672, 0.0007918669882974218, 0.00008427657032865441 ], [ 0.0018042637071262243, 0.002408623249866298, -0.018736700458077238, -0.0807062511561246, 0.09246290798954752, 0.04931660441929682, 0.006567475222156308, -0.004004885936016818, -0.001360763162080505 ], [ -0.0005598262353643667, -0.0006449748837036285, -0.003279935245301372, 0.003472018494868853, -0.016200469990592402, -0.0026415868915991977, 0.0014548524754822698, 0.0011221759214758548, -0.000005096829100962534 ], [ 0.00018086101700539038, -0.00034932150495272984, 0.0016430890800651452, -0.001604415414777741, 0.00010652590550886634, 0.0006397549567146273, -0.0008677249780925475, -0.0007681030878560302, -0.00011860013182324469 ], [ -0.00020253626647014636, 0.000780827288622618, -0.0002819776190484164, 0.00007455395680386719, -0.00022633570184076067, 0.0006220975055049953, 0.00009220836956728072, -0.00028743536765896615, -0.000006981005195382664 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03607849922946542, -0.022552124541395, -0.005383153357219071, -0.000055072946702918936 ], [ -0.00012757721109499633, 0.002348093024071135, -0.004384329096983879, -0.014253623112206156, -0.15877527225252386, -0.013567585295173991, 0.005930279222144702, 0.0012625061317373333, 0.00032498172954457293 ], [ -0.000347781375323745, -0.0007566215412987369, -0.005482126070118491, 0.016320698327284198, -0.023355179410521586, -0.011432310343091376, 0.002164644771536419, 0.0014491211248512511, 0.000009832541057274352 ], [ 0.00016053165610756148, -0.000008740878509581326, -0.000659760798319255, 0.008271410476676129, -0.0015272526247759226, -0.0016942148406764142, -0.0008033799430686526, 0.00009026713603377417, 0.00020117772158117762 ], [ -0.0000014334439078631704, -0.00017879615521434588, 0.0005289766967241013, -0.0012924500757592508, 0.00004266340522524905, 0.0005358987231240825, 0.0004542171757653408, 0.00004454932255350251, -0.00003506902108384017 ] ]

DVPKx9a9cRS8Ee2enQrAXgv

{"aspect_ratio": 8.171426767627878, "major_radius": 1.0, "max_elongation": 4.385598748224728, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.05291277745989751, -0.2657156190862088, 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": [[0.8852579569465712, 0.8852583333308637, 0.8852641678978587, 0.88528958119294, 0.88535742431467, 0.885498177407763, 0.8857487337019109, 0.8861511461397987, 0.8867513712987007, 0.8875980305904987, 0.8887412019113708, 0.8902312512469854, 0.8921177115701601, 0.8944482149995401, 0.8972674832864108, 0.9006163810872045, 0.9045310360630459, 0.9090420295664543, 0.9141736614931724, 0.9199432927714393, 0.9263607689176119, 0.9334279280970855, 0.9411381971880841, 0.9494762794510897, 0.9584179375589216, 0.9679298759444227, 0.9779697266792688, 0.9884861434160109, 0.9994190083164124, 1.010699757366521, 1.022251830061513, 1.033991250156388, 1.0458273450560507, 1.0576636125063439, 1.0693987446098268, 1.0809278209155213, 1.0921436845471868, 1.1029385182242564, 1.113205640867686, 1.1228415506890956, 1.1317482478969996, 1.1398358804989783, 1.147025771972514, 1.1532539131086401, 1.1584750383393503, 1.1626674720654848, 1.1658390513655643, 1.168034679891111, 1.1693466594069337, 1.1699307281327738, 1.1700397499349966], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6837101795845536}

8.171427

1

4.385599

[ [ 0.8852579569465712, 0.8852583333308637, 0.8852641678978587, 0.88528958119294, 0.88535742431467, 0.885498177407763, 0.8857487337019109, 0.8861511461397987, 0.8867513712987007, 0.8875980305904987, 0.8887412019113708, 0.8902312512469854, 0.8921177115701601, 0.8944482149995401, 0.8972674832864108, 0.9006163810872045, 0.9045310360630459, 0.9090420295664543, 0.9141736614931724, 0.9199432927714393, 0.9263607689176119, 0.9334279280970855, 0.9411381971880841, 0.9494762794510897, 0.9584179375589216, 0.9679298759444227, 0.9779697266792688, 0.9884861434160109, 0.9994190083164124, 1.010699757366521, 1.022251830061513, 1.033991250156388, 1.0458273450560507, 1.0576636125063439, 1.0693987446098268, 1.0809278209155213, 1.0921436845471868, 1.1029385182242564, 1.113205640867686, 1.1228415506890956, 1.1317482478969996, 1.1398358804989783, 1.147025771972514, 1.1532539131086401, 1.1584750383393503, 1.1626674720654848, 1.1658390513655643, 1.168034679891111, 1.1693466594069337, 1.1699307281327738, 1.1700397499349966 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.05291277745989751, -0.2657156190862088, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.68371

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

DadquWuND9eCjcvycVJcmrA

null

false

null

false

DAFqYh3aby6qHMpE7FQvNLW

Djjkoc9MpG5kuw3Qr4iRzp5

{"qi": 0.021496128667608493, "vacuum_well": -0.05403988167335317, "aspect_ratio": 7.531188404714048, "max_elongation": 7.6918351199854085, "average_triangularity": 0.26648340011405236, "axis_magnetic_mirror_ratio": 0.15140044422381715, "edge_magnetic_mirror_ratio": 0.3515059139312263, "aspect_ratio_over_edge_rotational_transform": 9.293532731193578, "flux_compression_in_regions_of_bad_curvature": 2.4228162324032687, "axis_rotational_transform_over_n_field_periods": 0.19539873677615321, "edge_rotational_transform_over_n_field_periods": 0.16207374789644305, "minimum_normalized_magnetic_gradient_scale_length": 3.7089682284900642}

7.531188

9.293533

0.185121

0.1514

0.195399

0.351506

0.162074

2.422816

7.691835

3.708968

0.021496

-0.05404

{"r_cos":[[0.0,0.0,0.0,0.0,0.9970227746449114,0.033337120427091686,0.011244622613287975,-0.0007794782124582559,0.0014761805825771646],[-0.001003176992918936,-0.00575058413163269,-0.03329728839341206,-0.04105667280046396,0.208594511564122,-0.043097455298637885,0.014122169874718494,-0.00475077935499788,0.001523805166859211],[0.0012740373061806529,0.0028323496380403997,-0.004812463449087898,0.034757221647444964,0.015890927385968354,-0.00679207096333272,0.002345413773979228,-0.0032606185408729643,0.00011620259534967292],[0.00137106664283108,-0.00008988688814814342,0.00355869883027947,-0.0025153748227176877,-0.0010467909923480181,-0.0016571088952688404,-0.00018323949050571913,0.00018786987454879548,-0.00025445986601332145],[-0.00037584723032454937,0.0002352371731929794,-0.00045758155671906227,-0.00024776610295746716,-0.0000977391823746912,-0.00016188695677347466,0.0001490621568410434,0.0003041272563838245,-0.00010015208546920872]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.40901153856176875,0.008505340637697485,-0.016047372582025064,0.0011872910775331171],[-0.005271560567586925,-0.0056628373984033194,-0.05571764443796584,-0.03450074288556068,-0.09406202320608548,-0.0030642455295166494,-0.0029656593771635563,-0.0027965819866823944,0.0003806424076368705],[0.0009409529397546332,0.003538980441453973,0.0021936960755191068,-0.01807442984622135,0.003143751073507853,0.009576719658204398,-0.0005360254863867979,0.0025304928029646146,-0.00013683605903308912],[0.000374957652487069,0.0016091801215315626,-0.002012871480724608,-0.000576951770069225,0.0025580789671022005,0.0014634448782165476,0.0003749819834097173,0.0005590764242943553,-0.0003846143145669322],[-0.0001163008471117164,-0.0001522202397300663,0.00024160425207254044,0.0003044744749172564,0.0006261730124318332,0.0000695170159754543,-0.00009680878008714213,0.00015730023681543426,-0.00016682297060328504]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9970227746449114, 0.033337120427091686, 0.011244622613287975, -0.0007794782124582559, 0.0014761805825771646 ], [ -0.001003176992918936, -0.00575058413163269, -0.03329728839341206, -0.04105667280046396, 0.208594511564122, -0.043097455298637885, 0.014122169874718494, -0.00475077935499788, 0.001523805166859211 ], [ 0.0012740373061806529, 0.0028323496380403997, -0.004812463449087898, 0.034757221647444964, 0.015890927385968354, -0.00679207096333272, 0.002345413773979228, -0.0032606185408729643, 0.00011620259534967292 ], [ 0.00137106664283108, -0.00008988688814814342, 0.00355869883027947, -0.0025153748227176877, -0.0010467909923480181, -0.0016571088952688404, -0.00018323949050571913, 0.00018786987454879548, -0.00025445986601332145 ], [ -0.00037584723032454937, 0.0002352371731929794, -0.00045758155671906227, -0.00024776610295746716, -0.0000977391823746912, -0.00016188695677347466, 0.0001490621568410434, 0.0003041272563838245, -0.00010015208546920872 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.40901153856176875, 0.008505340637697485, -0.016047372582025064, 0.0011872910775331171 ], [ -0.005271560567586925, -0.0056628373984033194, -0.05571764443796584, -0.03450074288556068, -0.09406202320608548, -0.0030642455295166494, -0.0029656593771635563, -0.0027965819866823944, 0.0003806424076368705 ], [ 0.0009409529397546332, 0.003538980441453973, 0.0021936960755191068, -0.01807442984622135, 0.003143751073507853, 0.009576719658204398, -0.0005360254863867979, 0.0025304928029646146, -0.00013683605903308912 ], [ 0.000374957652487069, 0.0016091801215315626, -0.002012871480724608, -0.000576951770069225, 0.0025580789671022005, 0.0014634448782165476, 0.0003749819834097173, 0.0005590764242943553, -0.0003846143145669322 ], [ -0.0001163008471117164, -0.0001522202397300663, 0.00024160425207254044, 0.0003044744749172564, 0.0006261730124318332, 0.0000695170159754543, -0.00009680878008714213, 0.00015730023681543426, -0.00016682297060328504 ] ]

DiDbi2vk2QFi2wS87EwEoVs

{"aspect_ratio": 7.432528964166557, "major_radius": 1.0, "max_elongation": 4.3972790931594545, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.14559044874376253, -0.12276779191387957, 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": [[0.8644070825451016, 0.864409713549781, 0.8644403159800472, 0.8645511155916411, 0.8648097849637932, 0.8652923371409709, 0.8660781102094078, 0.867245922483616, 0.8688710358082794, 0.8710227360363858, 0.8737624136632306, 0.8771420654729373, 0.8812031597552619, 0.885975821104047, 0.891478299652852, 0.8977166956842421, 0.9046849148785441, 0.9123648326344219, 0.9207266482573743, 0.9297294116021944, 0.9393217061220743, 0.9494424733219267, 0.9600219644064326, 0.970982805502939, 0.9822411632594387, 0.9937079978917771, 1.0052903908972035, 1.0168929346723474, 1.028419171176242, 1.0397730665616658, 1.0508605083544658, 1.0615908112788004, 1.071878217188176, 1.0816433737414977, 1.0908147754234927, 1.0993301491989023, 1.1071377654390226, 1.1141976526680126, 1.1204826920026716, 1.1259795636957524, 1.1306895136289181, 1.1346289014585726, 1.137829483630715, 1.1403383723726217, 1.1422175937947245, 1.143543140189805, 1.1444033649563545, 1.1448964840093057, 1.145126774597482, 1.145198635421198, 1.1452061361233292], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8663696390441388}

7.432529

1

4.397279

[ [ 0.8644070825451016, 0.864409713549781, 0.8644403159800472, 0.8645511155916411, 0.8648097849637932, 0.8652923371409709, 0.8660781102094078, 0.867245922483616, 0.8688710358082794, 0.8710227360363858, 0.8737624136632306, 0.8771420654729373, 0.8812031597552619, 0.885975821104047, 0.891478299652852, 0.8977166956842421, 0.9046849148785441, 0.9123648326344219, 0.9207266482573743, 0.9297294116021944, 0.9393217061220743, 0.9494424733219267, 0.9600219644064326, 0.970982805502939, 0.9822411632594387, 0.9937079978917771, 1.0052903908972035, 1.0168929346723474, 1.028419171176242, 1.0397730665616658, 1.0508605083544658, 1.0615908112788004, 1.071878217188176, 1.0816433737414977, 1.0908147754234927, 1.0993301491989023, 1.1071377654390226, 1.1141976526680126, 1.1204826920026716, 1.1259795636957524, 1.1306895136289181, 1.1346289014585726, 1.137829483630715, 1.1403383723726217, 1.1422175937947245, 1.143543140189805, 1.1444033649563545, 1.1448964840093057, 1.145126774597482, 1.145198635421198, 1.1452061361233292 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.14559044874376253, -0.12276779191387957, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.86637

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

DHE7dvwhvsmaHGimba5WFtT

null

false

null

false

DA4nS9YGsgWm7XtVo5Jq85L

Dk4xRgCyBtkjgeGgGoQDgWp

{"qi": 0.0010704325920056557, "vacuum_well": 0.009710781042428672, "aspect_ratio": 8.451056950314511, "max_elongation": 6.365463516873565, "average_triangularity": 0.4098800578999475, "axis_magnetic_mirror_ratio": 0.30656723718699175, "edge_magnetic_mirror_ratio": 0.34185416907952587, "aspect_ratio_over_edge_rotational_transform": 41.672715518202914, "flux_compression_in_regions_of_bad_curvature": 1.4073815988777747, "axis_rotational_transform_over_n_field_periods": 0.23750293781524745, "edge_rotational_transform_over_n_field_periods": 0.10139796321436065, "minimum_normalized_magnetic_gradient_scale_length": 4.099723657729842}

8.451057

41.672716

0.440814

0.306567

0.237503

0.341854

0.101398

1.407382

6.365464

4.099724

0.00107

0.009711

{"r_cos":[[0.0,0.0,0.0,0.0,0.9940377230303816,0.02706609514721885,-0.04377302081625853,-0.005032769494778676,0.000729537483516657],[-0.0014491175807104764,0.0017045209315186488,0.013255377536013857,-0.05081925760296818,0.1305211383489309,-0.0057029696317458835,0.0034898477878723584,-0.0008934391228017851,0.00039567432377140557],[0.0016655892081267362,-0.006687118398733656,-0.004055423656801221,0.026242416579018882,-0.009208497692346228,-0.02880145816902011,0.0013746113742131702,0.0025118943111808113,0.0002668219050803569],[-0.0007338026862592699,0.0029635243014274884,-0.0011959944481195503,0.0017721705418751248,0.0005656970367841549,0.0007315244083260233,0.0010946776638066078,-0.0007184115608105659,-0.00007338406301157465],[-0.000056398497509089574,0.0003109095259215696,-0.0006340488470696111,0.0006597827638612124,-0.0006097049985244116,-0.00033311354430218525,-0.000715262419964497,0.00004978469540945461,-3.1354353489564014e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.4078414891225487,-0.003714122779627571,0.007943988183791953,0.001653965589921761],[-0.001792358281933395,0.0014456733346598868,0.026033383935053157,-0.07392277354688692,-0.12737212219024222,0.0681529590191017,0.004782185804411563,0.0004549666098113619,-0.00119313657632702],[0.0015394970304328983,-0.0028661883046539674,0.008530385301916521,-0.012053879426864332,0.007463142302277667,-0.003986265398892317,0.0016921068547524347,0.0004168478687948836,0.0007487575128446635],[-0.0016655476573173502,0.00501405458464067,-0.008002386397369433,-0.001495331919597633,0.0020000758428982512,-0.002044661413651766,-0.0054023135848782185,-0.0006947737164351834,-0.00042910909086423833],[0.0006521383115786078,-0.0011475909722372,0.0005590503331146988,0.0012037619163189806,-0.0011524706393787525,-0.0014184551841909822,0.0006852733519436918,0.0001569230405428292,0.00009643842152641963]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9940377230303816, 0.02706609514721885, -0.04377302081625853, -0.005032769494778676, 0.000729537483516657 ], [ -0.0014491175807104764, 0.0017045209315186488, 0.013255377536013857, -0.05081925760296818, 0.1305211383489309, -0.0057029696317458835, 0.0034898477878723584, -0.0008934391228017851, 0.00039567432377140557 ], [ 0.0016655892081267362, -0.006687118398733656, -0.004055423656801221, 0.026242416579018882, -0.009208497692346228, -0.02880145816902011, 0.0013746113742131702, 0.0025118943111808113, 0.0002668219050803569 ], [ -0.0007338026862592699, 0.0029635243014274884, -0.0011959944481195503, 0.0017721705418751248, 0.0005656970367841549, 0.0007315244083260233, 0.0010946776638066078, -0.0007184115608105659, -0.00007338406301157465 ], [ -0.000056398497509089574, 0.0003109095259215696, -0.0006340488470696111, 0.0006597827638612124, -0.0006097049985244116, -0.00033311354430218525, -0.000715262419964497, 0.00004978469540945461, -0.0000031354353489564014 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.4078414891225487, -0.003714122779627571, 0.007943988183791953, 0.001653965589921761 ], [ -0.001792358281933395, 0.0014456733346598868, 0.026033383935053157, -0.07392277354688692, -0.12737212219024222, 0.0681529590191017, 0.004782185804411563, 0.0004549666098113619, -0.00119313657632702 ], [ 0.0015394970304328983, -0.0028661883046539674, 0.008530385301916521, -0.012053879426864332, 0.007463142302277667, -0.003986265398892317, 0.0016921068547524347, 0.0004168478687948836, 0.0007487575128446635 ], [ -0.0016655476573173502, 0.00501405458464067, -0.008002386397369433, -0.001495331919597633, 0.0020000758428982512, -0.002044661413651766, -0.0054023135848782185, -0.0006947737164351834, -0.00042910909086423833 ], [ 0.0006521383115786078, -0.0011475909722372, 0.0005590503331146988, 0.0012037619163189806, -0.0011524706393787525, -0.0014184551841909822, 0.0006852733519436918, 0.0001569230405428292, 0.00009643842152641963 ] ]

DY5NKcUoavSYaZk9KbY6ktU

{"aspect_ratio": 9.982617050699602, "major_radius": 1.0, "max_elongation": 6.125886261248158, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.32566697298255587, 0.2429298510669998, 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": [[0.6889503596743679, 0.688950588909912, 0.6889571798165477, 0.6889985811300825, 0.6891395504518083, 0.6894876111386488, 0.6901933575951916, 0.6914460385099054, 0.6934656770926594, 0.696492833447057, 0.7007769712586972, 0.706564257020532, 0.7140854941495699, 0.7235447761052834, 0.7351093317314319, 0.7489009323487085, 0.7649891335267549, 0.7833865349001967, 0.8040461588296255, 0.8268609731279731, 0.8516655144719691, 0.8782395075042737, 0.9063133200200431, 0.9355750470452614, 0.9656789760832782, 0.9962551523673746, 1.026919736654302, 1.0572858289769727, 1.0869744199016615, 1.1156251262722297, 1.142906371246222, 1.1685246787210826, 1.1922327701113538, 1.2138361769825852, 1.2331981164054753, 1.2502424172172324, 1.2649543348462062, 1.2773791501853964, 1.2876185144504388, 1.2958245773480075, 1.3021920206124964, 1.3069482135571389, 1.310341812408924, 1.312630241778057, 1.3140666259582874, 1.314886881801462, 1.3152978467083039, 1.3154675000163731, 1.3155185535478804, 1.3155269588973724, 1.3155272671373848], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4919070816850991}

9.982617

1

6.125886

[ [ 0.6889503596743679, 0.688950588909912, 0.6889571798165477, 0.6889985811300825, 0.6891395504518083, 0.6894876111386488, 0.6901933575951916, 0.6914460385099054, 0.6934656770926594, 0.696492833447057, 0.7007769712586972, 0.706564257020532, 0.7140854941495699, 0.7235447761052834, 0.7351093317314319, 0.7489009323487085, 0.7649891335267549, 0.7833865349001967, 0.8040461588296255, 0.8268609731279731, 0.8516655144719691, 0.8782395075042737, 0.9063133200200431, 0.9355750470452614, 0.9656789760832782, 0.9962551523673746, 1.026919736654302, 1.0572858289769727, 1.0869744199016615, 1.1156251262722297, 1.142906371246222, 1.1685246787210826, 1.1922327701113538, 1.2138361769825852, 1.2331981164054753, 1.2502424172172324, 1.2649543348462062, 1.2773791501853964, 1.2876185144504388, 1.2958245773480075, 1.3021920206124964, 1.3069482135571389, 1.310341812408924, 1.312630241778057, 1.3140666259582874, 1.314886881801462, 1.3152978467083039, 1.3154675000163731, 1.3155185535478804, 1.3155269588973724, 1.3155272671373848 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.32566697298255587, 0.2429298510669998, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.491907

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

D8aNmhPc9G9esud5UkWw8QD

null

false

null

false

DiZiCyuTbyZ52ejJ6DydCBg

DAhjgXafdfaJNBc3Vrcmsum

{"qi": 0.003688697546132934, "vacuum_well": -0.15035378922765316, "aspect_ratio": 9.675916224810194, "max_elongation": 6.265941288420822, "average_triangularity": 0.09251507085257868, "axis_magnetic_mirror_ratio": 0.24914234817645634, "edge_magnetic_mirror_ratio": 0.34095445065069824, "aspect_ratio_over_edge_rotational_transform": 8.546096727515392, "flux_compression_in_regions_of_bad_curvature": 1.3368103499128865, "axis_rotational_transform_over_n_field_periods": 0.2169810990903492, "edge_rotational_transform_over_n_field_periods": 0.2264405969957533, "minimum_normalized_magnetic_gradient_scale_length": 12.175042470460863}

9.675916

8.546097

0.135284

0.249142

0.216981

0.340954

0.226441

1.33681

6.265941

12.175042

0.003689

-0.150354

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.02207311869052079,-0.004438292886546905,0.0011119237812091,-0.0001382897383661267],[0.00018093396544673377,0.0021795052915148504,-0.006303080159340169,0.06461845312430542,0.08715657870417914,-0.03141227749175515,0.0014363187832533478,-0.00005951438425969599,0.00024474142358695683],[-0.0003541226107207548,0.00119413545503118,-0.0036227581080771304,-0.045200505979850314,0.0009926138402895184,-0.004617442342686906,0.000745041446379878,0.00026868605490237493,0.00008990312986060313],[-0.00011656917161989794,-0.0004594557836578869,0.007136617841595543,0.007171745088416925,0.0018288983917329313,-0.003454392695503348,0.0012917805927546346,-0.00005590084938328273,-0.000010782590115186181],[0.00007348935188060233,-0.0006247279442465311,-0.001272651703700008,-0.0006050947456902455,-0.0015410580158798006,0.00021297574810627312,0.00036279959868926306,-0.00009759555615174777,-0.000026851832806294837]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0028184709363205072,0.003039115633102192,-0.00010533937674334732,-0.00009099774400977806],[-0.00025755566648176086,0.00011330031208978781,0.00037693618204348025,0.06472873986189964,-0.173865751492948,0.034711749363610996,0.0021335389192479043,-0.0018113741043245643,-2.9659083169726445e-6],[-0.00025643553475710324,-0.00028292806588866366,-0.006968102700765416,-0.013538044966692274,0.000790610752001431,0.01417320385908543,-0.0044274997886260175,0.0004169175563382172,0.00006291231743503412],[0.00008762168348363882,0.0006629957806742669,0.0018531544104214515,0.0008665626403561975,0.0016207702503159061,-0.000501265393547204,-0.0006700406194362532,0.000415165168072668,-0.00005098328674308883],[0.00003085539021136836,0.00007457286367555745,-0.00019435568203372605,-0.00007628126395269215,-0.00010300880617627605,0.00044273026081041906,-0.0001702621209863734,0.00003160619961529639,-8.538115768873375e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.02207311869052079, -0.004438292886546905, 0.0011119237812091, -0.0001382897383661267 ], [ 0.00018093396544673377, 0.0021795052915148504, -0.006303080159340169, 0.06461845312430542, 0.08715657870417914, -0.03141227749175515, 0.0014363187832533478, -0.00005951438425969599, 0.00024474142358695683 ], [ -0.0003541226107207548, 0.00119413545503118, -0.0036227581080771304, -0.045200505979850314, 0.0009926138402895184, -0.004617442342686906, 0.000745041446379878, 0.00026868605490237493, 0.00008990312986060313 ], [ -0.00011656917161989794, -0.0004594557836578869, 0.007136617841595543, 0.007171745088416925, 0.0018288983917329313, -0.003454392695503348, 0.0012917805927546346, -0.00005590084938328273, -0.000010782590115186181 ], [ 0.00007348935188060233, -0.0006247279442465311, -0.001272651703700008, -0.0006050947456902455, -0.0015410580158798006, 0.00021297574810627312, 0.00036279959868926306, -0.00009759555615174777, -0.000026851832806294837 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0028184709363205072, 0.003039115633102192, -0.00010533937674334732, -0.00009099774400977806 ], [ -0.00025755566648176086, 0.00011330031208978781, 0.00037693618204348025, 0.06472873986189964, -0.173865751492948, 0.034711749363610996, 0.0021335389192479043, -0.0018113741043245643, -0.0000029659083169726445 ], [ -0.00025643553475710324, -0.00028292806588866366, -0.006968102700765416, -0.013538044966692274, 0.000790610752001431, 0.01417320385908543, -0.0044274997886260175, 0.0004169175563382172, 0.00006291231743503412 ], [ 0.00008762168348363882, 0.0006629957806742669, 0.0018531544104214515, 0.0008665626403561975, 0.0016207702503159061, -0.000501265393547204, -0.0006700406194362532, 0.000415165168072668, -0.00005098328674308883 ], [ 0.00003085539021136836, 0.00007457286367555745, -0.00019435568203372605, -0.00007628126395269215, -0.00010300880617627605, 0.00044273026081041906, -0.0001702621209863734, 0.00003160619961529639, -0.000008538115768873375 ] ]

DXUBYAUBci9Lsv7vnWMXw3Q

{"aspect_ratio": 9.368962711432426, "major_radius": 1.0, "max_elongation": 5.986710944751253, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.03216281581622766, 0.00626843601453751, 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": [[0.7097818303680214, 0.7097822280756979, 0.7097915003500194, 0.7098428727054898, 0.7100035579990323, 0.7103765380205128, 0.7110980269286484, 0.7123321677309016, 0.7142639685739968, 0.7170912120102424, 0.7210158999032746, 0.7262356768824172, 0.7329355844396637, 0.7412804251892886, 0.7514079566173847, 0.7634230823586196, 0.7773931644545107, 0.7933445407172804, 0.8112602962452203, 0.8310793065996459, 0.8526965416444521, 0.875964593185969, 0.9006963660485287, 0.926668850866278, 0.9536278775049812, 0.9812937305323404, 1.009367492450362, 1.037537966437119, 1.0654890180933845, 1.0929071651528726, 1.1194892353192132, 1.1449499053907375, 1.1690289297072762, 1.1914978628167348, 1.212166080269009, 1.23088590280708, 1.2475566332109542, 1.262127322016445, 1.274598088751258, 1.2850198398426034, 1.2934922438263303, 1.3001598501510214, 1.3052062714872912, 1.3088463936616175, 1.3113166362529003, 1.3128633672953582, 1.3137296893556143, 1.314140984442135, 1.314289881571936, 1.3143218229362708, 1.3143236208020557], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.079581160532002}

9.368963

1

5.986711

[ [ 0.7097818303680214, 0.7097822280756979, 0.7097915003500194, 0.7098428727054898, 0.7100035579990323, 0.7103765380205128, 0.7110980269286484, 0.7123321677309016, 0.7142639685739968, 0.7170912120102424, 0.7210158999032746, 0.7262356768824172, 0.7329355844396637, 0.7412804251892886, 0.7514079566173847, 0.7634230823586196, 0.7773931644545107, 0.7933445407172804, 0.8112602962452203, 0.8310793065996459, 0.8526965416444521, 0.875964593185969, 0.9006963660485287, 0.926668850866278, 0.9536278775049812, 0.9812937305323404, 1.009367492450362, 1.037537966437119, 1.0654890180933845, 1.0929071651528726, 1.1194892353192132, 1.1449499053907375, 1.1690289297072762, 1.1914978628167348, 1.212166080269009, 1.23088590280708, 1.2475566332109542, 1.262127322016445, 1.274598088751258, 1.2850198398426034, 1.2934922438263303, 1.3001598501510214, 1.3052062714872912, 1.3088463936616175, 1.3113166362529003, 1.3128633672953582, 1.3137296893556143, 1.314140984442135, 1.314289881571936, 1.3143218229362708, 1.3143236208020557 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.03216281581622766, 0.00626843601453751, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.079581

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

Dj9mBGHvWsKqSpnypdir7Ma

null

false

null

false

DGM9XBpx47ZmYZNH5qRCYo2

DFu44MfSWuZH8ueAbhycev8

{"qi": 0.0037488046333468243, "vacuum_well": -0.08916257341497835, "aspect_ratio": 9.654409921861538, "max_elongation": 6.59072455956442, "average_triangularity": -0.6036558709196351, "axis_magnetic_mirror_ratio": 0.33197686593312803, "edge_magnetic_mirror_ratio": 0.35343406877992395, "aspect_ratio_over_edge_rotational_transform": 66.17688134393971, "flux_compression_in_regions_of_bad_curvature": 1.600756776528665, "axis_rotational_transform_over_n_field_periods": 0.10233872245012196, "edge_rotational_transform_over_n_field_periods": 0.14588795551855754, "minimum_normalized_magnetic_gradient_scale_length": 3.1090981391565893}

9.65441

66.176881

-0.972203

0.331977

0.102339

0.353434

0.145888

1.600757

6.590725

3.109098

0.003749

-0.089163

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.009379887326317176,-0.21514829020056345,0.006992679898394068,0.012177292924177966],[0.004633495025768694,-0.017266561445703953,0.02187107973801205,-0.017005728273638568,0.06466639038286863,-0.010388491709036234,0.00449007183495299,0.00564493836615159,-0.0014979231560654424],[-0.0010355607940816642,0.0009438997254979339,-0.0005230614474300712,-0.011057035551260839,-0.02123837432628762,-0.005548520735191193,-0.0009505046608349678,-6.684088835430513e-6,0.00022765474502911488],[9.103222933132852e-6,-0.00019041413724105755,-0.00286450021826531,0.00200632109953982,0.0014556518377466998,-0.0029719009552971057,-0.0006012011104367684,-0.0006287344636025067,0.000027048744286101703],[-0.000026811824291359275,0.0002782022852508878,0.0000587900883268067,-0.0005624136783376624,0.0004261982266369953,0.00003720560076027243,-0.000166728104902389,0.00007424015499560832,0.000011033235743400117]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.021715050449179867,0.03043221331637011,-0.013705071726329216,-0.00026925590811302877],[0.0025239826154618917,-0.017851570676324396,0.05449131164492156,-0.0032725958128291335,-0.19508382436210994,0.0016956603735122499,0.01677504998177945,-0.0018499470614476848,0.0004979028625226585],[-0.00023949490282289997,0.0038937121766144628,-0.019019241579663608,0.0047648236434704085,-0.005717207239400584,-0.004247085654296306,0.0003409555494453126,0.0005494142641758264,0.00008814092385576284],[-0.00027024540887851623,0.00040130157946771883,-0.0019653530211494004,0.00250570976051433,-0.0002758730935762338,0.0006978225500518523,-0.0004615109158673052,0.0009677924966067333,0.0002173862312699128],[0.00012186826132238809,-0.00047935709269619547,0.0008289967332034786,-0.0005762426842537675,0.0002103123357840224,0.00034377093332552653,-0.00013484246164146017,-0.00008301236271205051,-0.00003148433042824957]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.009379887326317176, -0.21514829020056345, 0.006992679898394068, 0.012177292924177966 ], [ 0.004633495025768694, -0.017266561445703953, 0.02187107973801205, -0.017005728273638568, 0.06466639038286863, -0.010388491709036234, 0.00449007183495299, 0.00564493836615159, -0.0014979231560654424 ], [ -0.0010355607940816642, 0.0009438997254979339, -0.0005230614474300712, -0.011057035551260839, -0.02123837432628762, -0.005548520735191193, -0.0009505046608349678, -0.000006684088835430513, 0.00022765474502911488 ], [ 0.000009103222933132852, -0.00019041413724105755, -0.00286450021826531, 0.00200632109953982, 0.0014556518377466998, -0.0029719009552971057, -0.0006012011104367684, -0.0006287344636025067, 0.000027048744286101703 ], [ -0.000026811824291359275, 0.0002782022852508878, 0.0000587900883268067, -0.0005624136783376624, 0.0004261982266369953, 0.00003720560076027243, -0.000166728104902389, 0.00007424015499560832, 0.000011033235743400117 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.021715050449179867, 0.03043221331637011, -0.013705071726329216, -0.00026925590811302877 ], [ 0.0025239826154618917, -0.017851570676324396, 0.05449131164492156, -0.0032725958128291335, -0.19508382436210994, 0.0016956603735122499, 0.01677504998177945, -0.0018499470614476848, 0.0004979028625226585 ], [ -0.00023949490282289997, 0.0038937121766144628, -0.019019241579663608, 0.0047648236434704085, -0.005717207239400584, -0.004247085654296306, 0.0003409555494453126, 0.0005494142641758264, 0.00008814092385576284 ], [ -0.00027024540887851623, 0.00040130157946771883, -0.0019653530211494004, 0.00250570976051433, -0.0002758730935762338, 0.0006978225500518523, -0.0004615109158673052, 0.0009677924966067333, 0.0002173862312699128 ], [ 0.00012186826132238809, -0.00047935709269619547, 0.0008289967332034786, -0.0005762426842537675, 0.0002103123357840224, 0.00034377093332552653, -0.00013484246164146017, -0.00008301236271205051, -0.00003148433042824957 ] ]

DinE92WcqSLSuguoDjBLQkX

{"aspect_ratio": 10.10068868393462, "major_radius": 1.0, "max_elongation": 6.283589183131425, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.008032785424552186, -0.05963129058285018, 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": [[0.7529345984111219, 0.752934621184625, 0.7529353337436365, 0.7529401492827096, 0.7529577031594735, 0.7530039857357542, 0.7531040746761324, 0.7532934607755312, 0.7536189704877028, 0.7541392931095945, 0.7549251236665677, 0.7560589348146245, 0.7576343929068114, 0.7597554349538667, 0.7625350246533695, 0.7660936070359756, 0.770557282629213, 0.7760557234046831, 0.7827198541830952, 0.7906793246503, 0.8000597987127722, 0.8109800896203742, 0.8235491711380457, 0.8378630970909406, 0.8540018638802077, 0.8720262531180977, 0.8919746944213363, 0.91386019170534, 0.9376673601328399, 0.9633496253089344, 0.9908266415359079, 1.0199819921492224, 1.0506612424222803, 1.0826704246185037, 1.1157750459887268, 1.1496997245645328, 1.1841285754896838, 1.2187064938296803, 1.2530415104990547, 1.2867084395247974, 1.3192540926880778, 1.3502044204993915, 1.3790740616829367, 1.4053789744270166, 1.4286531346322846, 1.4484708293369755, 1.464477098861226, 1.4764310409824288, 1.4842720067983537, 1.488235526039452, 1.4891396848357932], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.1256753908935066}

10.100689

1

6.283589

[ [ 0.7529345984111219, 0.752934621184625, 0.7529353337436365, 0.7529401492827096, 0.7529577031594735, 0.7530039857357542, 0.7531040746761324, 0.7532934607755312, 0.7536189704877028, 0.7541392931095945, 0.7549251236665677, 0.7560589348146245, 0.7576343929068114, 0.7597554349538667, 0.7625350246533695, 0.7660936070359756, 0.770557282629213, 0.7760557234046831, 0.7827198541830952, 0.7906793246503, 0.8000597987127722, 0.8109800896203742, 0.8235491711380457, 0.8378630970909406, 0.8540018638802077, 0.8720262531180977, 0.8919746944213363, 0.91386019170534, 0.9376673601328399, 0.9633496253089344, 0.9908266415359079, 1.0199819921492224, 1.0506612424222803, 1.0826704246185037, 1.1157750459887268, 1.1496997245645328, 1.1841285754896838, 1.2187064938296803, 1.2530415104990547, 1.2867084395247974, 1.3192540926880778, 1.3502044204993915, 1.3790740616829367, 1.4053789744270166, 1.4286531346322846, 1.4484708293369755, 1.464477098861226, 1.4764310409824288, 1.4842720067983537, 1.488235526039452, 1.4891396848357932 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.008032785424552186, -0.05963129058285018, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.125675

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

DMYfvTv8uNgJ8pLXxiEdFxX

null

false

null

false

DGXCm5qnk5sK6XKrf8KtNoS

DgbACE32uo72ffKKTx9EpLd

{"qi": 0.006042124244159268, "vacuum_well": -0.14287904876738322, "aspect_ratio": 9.82952961146121, "max_elongation": 5.761447329144354, "average_triangularity": -0.5246795563943056, "axis_magnetic_mirror_ratio": 0.22634264176288943, "edge_magnetic_mirror_ratio": 0.30959145639164565, "aspect_ratio_over_edge_rotational_transform": 11.50253719587165, "flux_compression_in_regions_of_bad_curvature": 1.7641778687207539, "axis_rotational_transform_over_n_field_periods": 0.2750959443067618, "edge_rotational_transform_over_n_field_periods": 0.28485105630982305, "minimum_normalized_magnetic_gradient_scale_length": 7.4543746435884835}

9.82953

11.502537

-0.892556

0.226343

0.275096

0.309591

0.284851

1.764178

5.761447

7.454375

0.006042

-0.142879

{"r_cos":[[0.0,0.0,0.0,0.0,0.9988683140553583,-0.008722773919562492,-0.011709301926058032,0.0004527817589772866,0.0001614302438541046],[-0.000490884254460126,-0.001518301427970393,0.016155925189421574,-0.06450512788657245,0.11230922537918876,-0.030048847400014882,0.003649238644528625,0.0014679235558221003,-0.00011252905004945557],[0.001262775442914477,-0.0007923772922981274,-0.017990813205848277,0.006333851274721282,-0.01937650659634733,0.003831950177773623,-0.001087197158578761,0.0008538842661309935,-0.00015617084743583967],[-0.0003243464338829786,0.0007582935492648248,0.0037410464755577846,-0.0037696121710290437,0.00040557691972498535,-0.0017028220290240597,0.0006349567741773211,1.5287888274258948e-6,-0.000034860728824097456],[-0.00003143655620683526,-0.0003798476011967458,-0.0013605448573708223,0.001203610930321866,-0.0005157302133370304,-0.0003131150204335401,0.0002927473589355419,-0.0000895510000686664,7.013576394532332e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.08327091660511965,0.011136006110722489,-0.0008190326036205353,-0.00019179739114988728],[-0.0003195210642594195,-0.00021130075477719277,0.017045432701234202,-0.0986150138323619,-0.1460159284220186,0.03332329780028592,-0.0023849629281003466,-0.001232168748881624,0.000036610458222481894],[0.001114856756474655,-0.0007257621595190135,-0.012146325482886793,0.012206711629601862,0.0027376134577389443,-0.0008453568688333423,0.0018630018617837576,-0.0005724392530392338,0.00019458866825467153],[-0.00016236882066298557,-0.00012203874192065866,-0.0007159644125374198,0.0015735480832621722,-0.002011938116519734,0.0011479577180556562,-0.0003006607156425489,-0.000012481746627551158,0.000030063703159206303],[2.345373831922834e-6,-0.00023262986120520853,0.00036752667638021715,-0.0003879989568955074,-0.000081584397765894,0.00038223877807709437,-0.00021771741397080276,0.00010303057509996107,-0.00002222732008234224]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9988683140553583, -0.008722773919562492, -0.011709301926058032, 0.0004527817589772866, 0.0001614302438541046 ], [ -0.000490884254460126, -0.001518301427970393, 0.016155925189421574, -0.06450512788657245, 0.11230922537918876, -0.030048847400014882, 0.003649238644528625, 0.0014679235558221003, -0.00011252905004945557 ], [ 0.001262775442914477, -0.0007923772922981274, -0.017990813205848277, 0.006333851274721282, -0.01937650659634733, 0.003831950177773623, -0.001087197158578761, 0.0008538842661309935, -0.00015617084743583967 ], [ -0.0003243464338829786, 0.0007582935492648248, 0.0037410464755577846, -0.0037696121710290437, 0.00040557691972498535, -0.0017028220290240597, 0.0006349567741773211, 0.0000015287888274258948, -0.000034860728824097456 ], [ -0.00003143655620683526, -0.0003798476011967458, -0.0013605448573708223, 0.001203610930321866, -0.0005157302133370304, -0.0003131150204335401, 0.0002927473589355419, -0.0000895510000686664, 0.000007013576394532332 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.08327091660511965, 0.011136006110722489, -0.0008190326036205353, -0.00019179739114988728 ], [ -0.0003195210642594195, -0.00021130075477719277, 0.017045432701234202, -0.0986150138323619, -0.1460159284220186, 0.03332329780028592, -0.0023849629281003466, -0.001232168748881624, 0.000036610458222481894 ], [ 0.001114856756474655, -0.0007257621595190135, -0.012146325482886793, 0.012206711629601862, 0.0027376134577389443, -0.0008453568688333423, 0.0018630018617837576, -0.0005724392530392338, 0.00019458866825467153 ], [ -0.00016236882066298557, -0.00012203874192065866, -0.0007159644125374198, 0.0015735480832621722, -0.002011938116519734, 0.0011479577180556562, -0.0003006607156425489, -0.000012481746627551158, 0.000030063703159206303 ], [ 0.000002345373831922834, -0.00023262986120520853, 0.00036752667638021715, -0.0003879989568955074, -0.000081584397765894, 0.00038223877807709437, -0.00021771741397080276, 0.00010303057509996107, -0.00002222732008234224 ] ]

DTGxibC2YUyvssYuzvhTL8k

{"aspect_ratio": 11.190914506274344, "major_radius": 1.0, "max_elongation": 5.730634916387631, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.03938789559557165, 0.06037752753144019, 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": [[0.7295171804862547, 0.7295172191665358, 0.7295189115722556, 0.7295326514860799, 0.7295886204851448, 0.7297467745318565, 0.7301035792567541, 0.7307946944796084, 0.7319935347732165, 0.7339060648884148, 0.7367624492833266, 0.7408063212975016, 0.7462825027743913, 0.7534240107443128, 0.7624391494366827, 0.7734994149050679, 0.786728844957792, 0.8021953362102028, 0.8199043289791166, 0.8397951345379481, 0.8617400523009506, 0.8855463005496292, 0.9109606665794812, 0.9376766734108686, 0.965343962860774, 0.9935795108443828, 1.0219802219721552, 1.050136398228039, 1.077645541863351, 1.1041259364390745, 1.1292294527349078, 1.152653048269944, 1.17414847040928, 1.1935297331212205, 1.2106780157361645, 1.2255437275269807, 1.238145593183048, 1.248566739454528, 1.2569479000700559, 1.2634780015632519, 1.2683825432548463, 1.2719103358177848, 1.2743193089555258, 1.2758622325836162, 1.2767733082379489, 1.2772566658438227, 1.2774778282009545, 1.2775591560493038, 1.2775801193187766, 1.2775828801117597, 1.2775829502551095], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8174263832585167}

11.190915

1

5.730635

[ [ 0.7295171804862547, 0.7295172191665358, 0.7295189115722556, 0.7295326514860799, 0.7295886204851448, 0.7297467745318565, 0.7301035792567541, 0.7307946944796084, 0.7319935347732165, 0.7339060648884148, 0.7367624492833266, 0.7408063212975016, 0.7462825027743913, 0.7534240107443128, 0.7624391494366827, 0.7734994149050679, 0.786728844957792, 0.8021953362102028, 0.8199043289791166, 0.8397951345379481, 0.8617400523009506, 0.8855463005496292, 0.9109606665794812, 0.9376766734108686, 0.965343962860774, 0.9935795108443828, 1.0219802219721552, 1.050136398228039, 1.077645541863351, 1.1041259364390745, 1.1292294527349078, 1.152653048269944, 1.17414847040928, 1.1935297331212205, 1.2106780157361645, 1.2255437275269807, 1.238145593183048, 1.248566739454528, 1.2569479000700559, 1.2634780015632519, 1.2683825432548463, 1.2719103358177848, 1.2743193089555258, 1.2758622325836162, 1.2767733082379489, 1.2772566658438227, 1.2774778282009545, 1.2775591560493038, 1.2775801193187766, 1.2775828801117597, 1.2775829502551095 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.03938789559557165, 0.06037752753144019, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.817426

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

DffGtpqbjuDH8U3z5tEEHNA

null

false

null

false

DaRB8Soqax6VrqkGW9Dwoid

DJUhF9RAEDUnaXJewxDnxHS

{"qi": 0.0205766646420934, "vacuum_well": -0.004444228667534126, "aspect_ratio": 9.94557763428908, "max_elongation": 3.9911505858745486, "average_triangularity": 0.058840525948498215, "axis_magnetic_mirror_ratio": 0.14226388190406852, "edge_magnetic_mirror_ratio": 0.18262857448315895, "aspect_ratio_over_edge_rotational_transform": 59.55525371444926, "flux_compression_in_regions_of_bad_curvature": 0.6104591728063704, "axis_rotational_transform_over_n_field_periods": 0.1701191164616976, "edge_rotational_transform_over_n_field_periods": 0.1669974857629746, "minimum_normalized_magnetic_gradient_scale_length": 3.88555314106373}

9.945578

59.555254

0.124466

0.142264

0.170119

0.182629

0.166997

0.610459

3.991151

3.885553

0.020577

-0.004444

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0033695277759590563,-0.20121797130256006,0.0005733499804484333,0.006746615082409593],[0.003792689179922204,-0.0025826024900380737,0.0331514089724441,-0.009926638377871161,0.0916543103915937,-0.003220951547335878,0.008111324910063169,0.0016600552058905105,-0.0005167210162727021],[0.00006908385173972892,-0.00045191367986072064,0.0010112604578553183,0.0008250227758842335,-0.0020078951321908854,0.0017186439226506492,0.000614206881569383,4.5682344773545665e-6,-0.00002092176099597703],[-0.0000573263435498421,0.00006997052333700306,-0.0006782088362786742,0.0029885993184608334,-0.004152698973537026,-0.00175880814021032,0.0017448311375874816,-0.0008330511967351052,0.0003785261765859861],[0.00007970673332219851,-0.00028114857907862224,0.00031199945902514405,-0.0001265416918004021,-0.0006465787061913918,-0.0005790619030994399,-0.00010307667939798156,-0.00004147371359894988,-0.00002233777567202903]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.004747251972259027,0.016290278728241916,0.006218414013912165,0.00025161131140593977],[0.00012476253823151719,0.00277275620655922,0.04875913651242174,0.0010586741321525913,-0.1256711588673407,-0.0011086791060563417,0.00862963523969067,-0.00005300282549497047,-0.00028973578051440685],[-0.000958120264808819,-0.0017717559202221722,0.0016773524867093159,-0.0007219710720024653,0.0038097969311753077,0.001337317819666953,-0.0004292008649427364,0.00005868294987639944,0.00040468972716899116],[-0.0009625324552508558,0.0002161254747347751,0.0042422101099597745,-0.004243133020196477,0.01383157085558361,0.005800359802232106,-0.004959109550742109,-0.0003547599076726137,0.00009107587229425048],[0.00011657990731696669,-0.00007451495280148693,0.00011645726547567141,0.00037962688566023795,0.00015149018137367454,0.00011114892993520801,-0.00031421495593446553,-0.00013292510845729392,0.00008156577386943557]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.0033695277759590563, -0.20121797130256006, 0.0005733499804484333, 0.006746615082409593 ], [ 0.003792689179922204, -0.0025826024900380737, 0.0331514089724441, -0.009926638377871161, 0.0916543103915937, -0.003220951547335878, 0.008111324910063169, 0.0016600552058905105, -0.0005167210162727021 ], [ 0.00006908385173972892, -0.00045191367986072064, 0.0010112604578553183, 0.0008250227758842335, -0.0020078951321908854, 0.0017186439226506492, 0.000614206881569383, 0.0000045682344773545665, -0.00002092176099597703 ], [ -0.0000573263435498421, 0.00006997052333700306, -0.0006782088362786742, 0.0029885993184608334, -0.004152698973537026, -0.00175880814021032, 0.0017448311375874816, -0.0008330511967351052, 0.0003785261765859861 ], [ 0.00007970673332219851, -0.00028114857907862224, 0.00031199945902514405, -0.0001265416918004021, -0.0006465787061913918, -0.0005790619030994399, -0.00010307667939798156, -0.00004147371359894988, -0.00002233777567202903 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.004747251972259027, 0.016290278728241916, 0.006218414013912165, 0.00025161131140593977 ], [ 0.00012476253823151719, 0.00277275620655922, 0.04875913651242174, 0.0010586741321525913, -0.1256711588673407, -0.0011086791060563417, 0.00862963523969067, -0.00005300282549497047, -0.00028973578051440685 ], [ -0.000958120264808819, -0.0017717559202221722, 0.0016773524867093159, -0.0007219710720024653, 0.0038097969311753077, 0.001337317819666953, -0.0004292008649427364, 0.00005868294987639944, 0.00040468972716899116 ], [ -0.0009625324552508558, 0.0002161254747347751, 0.0042422101099597745, -0.004243133020196477, 0.01383157085558361, 0.005800359802232106, -0.004959109550742109, -0.0003547599076726137, 0.00009107587229425048 ], [ 0.00011657990731696669, -0.00007451495280148693, 0.00011645726547567141, 0.00037962688566023795, 0.00015149018137367454, 0.00011114892993520801, -0.00031421495593446553, -0.00013292510845729392, 0.00008156577386943557 ] ]

DcZdefAoZ4vYwUPvPqrxHgB

{"aspect_ratio": 10.934122755700367, "major_radius": 1.0, "max_elongation": 4.349997565466967, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2829151795334096, -0.13203105710338237, 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": [[0.8999472644692945, 0.8999472677931871, 0.8999474065182618, 0.8999485231758327, 0.899953118988765, 0.8999663871360217, 0.8999971985400692, 0.9000589673640013, 0.9001703492979642, 0.9003557415763815, 0.9006455648371697, 0.9010763154644642, 0.9016903839300658, 0.9025356404021392, 0.903664793842829, 0.905134535173826, 0.9070044789879291, 0.9093359218216726, 0.912190438248977, 0.9156283390607812, 0.9197070186006826, 0.9244792209631127, 0.9299912572535446, 0.9362812084801037, 0.9433771509097205, 0.9512954428939936, 0.9600391142626906, 0.9695964014073293, 0.9799394731435743, 0.9910233943586879, 1.0027853763281174, 1.0151443644327824, 1.0280010158355328, 1.0412381214924886, 1.0547215286952232, 1.068301622178444, 1.0818154237046786, 1.0950893719785582, 1.1079428467846961, 1.1201925034365425, 1.1316574860458963, 1.1421655908933113, 1.1515604544916975, 1.1597098451181302, 1.1665151422363855, 1.1719220964964627, 1.175932976316071, 1.1786202312271281, 1.1801418534669432, 1.1807587564182436, 1.1808550735195915], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.14933607544522948}

10.934123

1

4.349998

[ [ 0.8999472644692945, 0.8999472677931871, 0.8999474065182618, 0.8999485231758327, 0.899953118988765, 0.8999663871360217, 0.8999971985400692, 0.9000589673640013, 0.9001703492979642, 0.9003557415763815, 0.9006455648371697, 0.9010763154644642, 0.9016903839300658, 0.9025356404021392, 0.903664793842829, 0.905134535173826, 0.9070044789879291, 0.9093359218216726, 0.912190438248977, 0.9156283390607812, 0.9197070186006826, 0.9244792209631127, 0.9299912572535446, 0.9362812084801037, 0.9433771509097205, 0.9512954428939936, 0.9600391142626906, 0.9695964014073293, 0.9799394731435743, 0.9910233943586879, 1.0027853763281174, 1.0151443644327824, 1.0280010158355328, 1.0412381214924886, 1.0547215286952232, 1.068301622178444, 1.0818154237046786, 1.0950893719785582, 1.1079428467846961, 1.1201925034365425, 1.1316574860458963, 1.1421655908933113, 1.1515604544916975, 1.1597098451181302, 1.1665151422363855, 1.1719220964964627, 1.175932976316071, 1.1786202312271281, 1.1801418534669432, 1.1807587564182436, 1.1808550735195915 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2829151795334096, -0.13203105710338237, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.149336

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

D59wt94jDRzUF6mcGnqphkX

null

false

null

false

Do9rTyWMPdwSQvjAXCEPayx

D7haVcx44YNV5HV7v4zRBhg

{"qi": 0.016169138208030866, "vacuum_well": -0.10719857328424759, "aspect_ratio": 9.971683132330051, "max_elongation": 4.315788230100747, "average_triangularity": -0.26480062269354704, "axis_magnetic_mirror_ratio": 0.11288785613805606, "edge_magnetic_mirror_ratio": 0.1455201687993795, "aspect_ratio_over_edge_rotational_transform": 14.92129632578881, "flux_compression_in_regions_of_bad_curvature": 1.261743027930318, "axis_rotational_transform_over_n_field_periods": 0.17309901185524015, "edge_rotational_transform_over_n_field_periods": 0.16707132736007274, "minimum_normalized_magnetic_gradient_scale_length": 9.58688805065518}

9.971683

14.921296

-0.498877

0.112888

0.173099

0.14552

0.167071

1.261743

4.315788

9.586888

0.016169

-0.107199

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.009381696366024896,-0.011909763157135878,0.0008633366051048596,-0.0007132242148631322],[0.00008913971675484309,0.0009108965997752993,0.004858107490584115,-0.06381122928188754,0.08391990294434691,0.02086220175446482,0.0019081238174899853,0.0009244237569390329,-0.00015347038539844358],[-0.00006993642024883916,-0.00042517138178879265,-0.00852222078911407,0.025092806322169224,-0.01608451458643253,-0.0019461186974684738,-0.0018431206513457032,0.00002298688708877398,0.0001469940202960248],[-0.00012333851057271986,-0.0012798575494472842,0.005236300517803537,-0.0019181942847943758,0.0001506363663250895,-0.00043415115208546035,-0.00012299759808865078,-0.00006526944892320489,-0.00001047197232369747],[-6.050728382244586e-6,0.0005279813822747396,-0.0002135299934202082,-0.00009339115887512959,-0.0008589279995714532,0.0006050607480974283,-0.00018408791596367458,0.00007745447349332237,0.000015144026715843187]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.05472510313917965,0.011078629377249035,0.0005472239848185695,0.00032747802114695135],[0.0001887424658677489,-0.0030086878211349503,0.016047490639825444,-0.033579391585877416,-0.14950911228494068,-0.0029595115889155237,-0.00583179798745365,0.001176417020634932,0.00019132819130873765],[-0.0003573952776349421,0.0013719877058154598,-0.014506344733218636,0.009880155518072774,0.007856139474016033,-0.001921966732518981,0.0006084406509303305,-0.000597586953872292,0.00007849754961337835],[-0.0001341135150301261,-0.00047827302316406613,0.002538328630578295,0.0008484551604075678,0.0037040685716025943,0.0005424331568722246,0.0009195327642652086,-1.6876418658017737e-6,0.00004189268871312325],[0.00020522815099422158,0.000028386926026199327,0.0010358725878429234,-0.00017806766218492632,0.00013478382982365453,-0.00033730405287587823,0.00007577130052760554,-0.00014054954891199953,0.000014705796076056369]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.009381696366024896, -0.011909763157135878, 0.0008633366051048596, -0.0007132242148631322 ], [ 0.00008913971675484309, 0.0009108965997752993, 0.004858107490584115, -0.06381122928188754, 0.08391990294434691, 0.02086220175446482, 0.0019081238174899853, 0.0009244237569390329, -0.00015347038539844358 ], [ -0.00006993642024883916, -0.00042517138178879265, -0.00852222078911407, 0.025092806322169224, -0.01608451458643253, -0.0019461186974684738, -0.0018431206513457032, 0.00002298688708877398, 0.0001469940202960248 ], [ -0.00012333851057271986, -0.0012798575494472842, 0.005236300517803537, -0.0019181942847943758, 0.0001506363663250895, -0.00043415115208546035, -0.00012299759808865078, -0.00006526944892320489, -0.00001047197232369747 ], [ -0.000006050728382244586, 0.0005279813822747396, -0.0002135299934202082, -0.00009339115887512959, -0.0008589279995714532, 0.0006050607480974283, -0.00018408791596367458, 0.00007745447349332237, 0.000015144026715843187 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.05472510313917965, 0.011078629377249035, 0.0005472239848185695, 0.00032747802114695135 ], [ 0.0001887424658677489, -0.0030086878211349503, 0.016047490639825444, -0.033579391585877416, -0.14950911228494068, -0.0029595115889155237, -0.00583179798745365, 0.001176417020634932, 0.00019132819130873765 ], [ -0.0003573952776349421, 0.0013719877058154598, -0.014506344733218636, 0.009880155518072774, 0.007856139474016033, -0.001921966732518981, 0.0006084406509303305, -0.000597586953872292, 0.00007849754961337835 ], [ -0.0001341135150301261, -0.00047827302316406613, 0.002538328630578295, 0.0008484551604075678, 0.0037040685716025943, 0.0005424331568722246, 0.0009195327642652086, -0.0000016876418658017737, 0.00004189268871312325 ], [ 0.00020522815099422158, 0.000028386926026199327, 0.0010358725878429234, -0.00017806766218492632, 0.00013478382982365453, -0.00033730405287587823, 0.00007577130052760554, -0.00014054954891199953, 0.000014705796076056369 ] ]

Di6svwHrXkMmXQFLd9BCeHy

{"aspect_ratio": 9.561006637485988, "major_radius": 1.0, "max_elongation": 4.014475912137673, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.023702012187597966, 0.13258612333240097, 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": [[0.918162538834579, 0.9181625714200602, 0.9181634032350645, 0.918168331525387, 0.9181846314513107, 0.9182243903273483, 0.9183049091198134, 0.9184487659365997, 0.9186836047258548, 0.9190416977221374, 0.9195593217609165, 0.9202759831461151, 0.9212335219531305, 0.9224751238308097, 0.924044265180086, 0.9259836158301344, 0.9283339218781865, 0.9311328901237319, 0.9344140944552662, 0.9382059235980739, 0.9425305887754737, 0.9474032090513718, 0.9528309913914619, 0.958812521789951, 0.9653371831463329, 0.9723847149320335, 0.9799249290500063, 0.9879175956521247, 0.9963125120298683, 1.0050497670228897, 1.014060212685893, 1.0232661542030383, 1.0325822682240653, 1.0419167588964473, 1.051172759855944, 1.0602499892779735, 1.0690466637354028, 1.0774616749867887, 1.0853970318358863, 1.0927605667163018, 1.099468903449621, 1.1054506783648665, 1.1106500011039528, 1.11503013303702, 1.1185773485859172, 1.1213049246422364, 1.1232571687931743, 1.1245133319910645, 1.1251911106136512, 1.1254490667703487, 1.125485733334288], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6180604307385729}

9.561007

1

4.014476

[ [ 0.918162538834579, 0.9181625714200602, 0.9181634032350645, 0.918168331525387, 0.9181846314513107, 0.9182243903273483, 0.9183049091198134, 0.9184487659365997, 0.9186836047258548, 0.9190416977221374, 0.9195593217609165, 0.9202759831461151, 0.9212335219531305, 0.9224751238308097, 0.924044265180086, 0.9259836158301344, 0.9283339218781865, 0.9311328901237319, 0.9344140944552662, 0.9382059235980739, 0.9425305887754737, 0.9474032090513718, 0.9528309913914619, 0.958812521789951, 0.9653371831463329, 0.9723847149320335, 0.9799249290500063, 0.9879175956521247, 0.9963125120298683, 1.0050497670228897, 1.014060212685893, 1.0232661542030383, 1.0325822682240653, 1.0419167588964473, 1.051172759855944, 1.0602499892779735, 1.0690466637354028, 1.0774616749867887, 1.0853970318358863, 1.0927605667163018, 1.099468903449621, 1.1054506783648665, 1.1106500011039528, 1.11503013303702, 1.1185773485859172, 1.1213049246422364, 1.1232571687931743, 1.1245133319910645, 1.1251911106136512, 1.1254490667703487, 1.125485733334288 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.023702012187597966, 0.13258612333240097, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.61806

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

D8NRJsykAmgBxHEkDYQ3Ap7

null

false

null

false

DaxS2Tk9bxsKacWX8JKJVer

DALWb8rqqKLmsi2Mj5d23GP

{"qi": 0.010526995580552163, "vacuum_well": -0.11589331233780939, "aspect_ratio": 9.803883763930955, "max_elongation": 5.744298413418374, "average_triangularity": -0.01340633614989356, "axis_magnetic_mirror_ratio": 0.27033161570963843, "edge_magnetic_mirror_ratio": 0.3371536728303315, "aspect_ratio_over_edge_rotational_transform": 7.527858843469607, "flux_compression_in_regions_of_bad_curvature": 1.5788871610198758, "axis_rotational_transform_over_n_field_periods": 0.2975034483630988, "edge_rotational_transform_over_n_field_periods": 0.26046938359998056, "minimum_normalized_magnetic_gradient_scale_length": 13.154169753467318}

9.803884

7.527859

0.263342

0.270332

0.297503

0.337154

0.260469

1.578887

5.744298

13.15417

0.010527

-0.115893

{"r_cos":[[0.0,0.0,0.0,0.0,0.9976739661285817,0.01632810605184471,-0.0029656281865805614,0.0007338163714491718,-0.00010627518575316054],[-0.00022382820987844148,-0.0000955797246044968,-0.012866798746001641,-0.07864797288878869,0.14902851959976415,-0.016480935522706224,6.59113095085543e-6,-0.00010730561883099994,-3.5223693964045623e-6],[0.00024841856239555626,0.0025159528475648093,0.011530338121754701,0.02593777064184926,-0.013099198385907186,0.0078070139069202,-0.0013133035886076895,0.00015461591825852833,9.842231302798737e-6],[-0.00013082571755234507,-0.0009598873184944256,-0.003844367087773866,-0.0015901405287932864,0.004800380886825227,0.0007759971159175707,-0.001644574847362346,0.000508622466663334,-0.000030228655285979256],[0.00012978529776368333,-0.00023811605271679775,-0.00029110097912814616,0.0005290541326332344,0.000599876676067243,-0.000531473925333383,0.0002484968551002393,-0.00014627248709295887,0.00004692107198751367]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.04678717133621441,0.004295702968114801,-0.0001875614299168193,-0.000014599191858902584],[-0.0007652043883243781,-0.0026307950681335184,-0.006846386098692769,-0.08445043470759835,-0.1253193049822149,0.022214213423385743,-0.0018125427695192542,0.0009794443427664401,-0.00022957566981756435],[-0.00041309530718444665,0.0009395811141184814,0.01011308432923106,0.012386460004134146,-0.02414635668770089,0.0037164954050754083,0.00031747131746044134,0.00003721036745063142,-0.00009824713716553193],[-0.00016475430241682452,-0.0006580412908116275,-0.0011367227932831613,0.0029350101807998886,-0.0044037224499373796,0.0005702836635463871,0.00021947623324722055,0.00007486627072207923,-0.0000813278239682211],[-0.00001872624663627645,0.0002950065727887795,0.00023720058155394987,-0.00036932659058960024,-0.0004784181480605207,0.000530055955098867,-0.0001385640210218508,0.00003478886760485675,-0.000037416955762565414]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9976739661285817, 0.01632810605184471, -0.0029656281865805614, 0.0007338163714491718, -0.00010627518575316054 ], [ -0.00022382820987844148, -0.0000955797246044968, -0.012866798746001641, -0.07864797288878869, 0.14902851959976415, -0.016480935522706224, 0.00000659113095085543, -0.00010730561883099994, -0.0000035223693964045623 ], [ 0.00024841856239555626, 0.0025159528475648093, 0.011530338121754701, 0.02593777064184926, -0.013099198385907186, 0.0078070139069202, -0.0013133035886076895, 0.00015461591825852833, 0.000009842231302798737 ], [ -0.00013082571755234507, -0.0009598873184944256, -0.003844367087773866, -0.0015901405287932864, 0.004800380886825227, 0.0007759971159175707, -0.001644574847362346, 0.000508622466663334, -0.000030228655285979256 ], [ 0.00012978529776368333, -0.00023811605271679775, -0.00029110097912814616, 0.0005290541326332344, 0.000599876676067243, -0.000531473925333383, 0.0002484968551002393, -0.00014627248709295887, 0.00004692107198751367 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.04678717133621441, 0.004295702968114801, -0.0001875614299168193, -0.000014599191858902584 ], [ -0.0007652043883243781, -0.0026307950681335184, -0.006846386098692769, -0.08445043470759835, -0.1253193049822149, 0.022214213423385743, -0.0018125427695192542, 0.0009794443427664401, -0.00022957566981756435 ], [ -0.00041309530718444665, 0.0009395811141184814, 0.01011308432923106, 0.012386460004134146, -0.02414635668770089, 0.0037164954050754083, 0.00031747131746044134, 0.00003721036745063142, -0.00009824713716553193 ], [ -0.00016475430241682452, -0.0006580412908116275, -0.0011367227932831613, 0.0029350101807998886, -0.0044037224499373796, 0.0005702836635463871, 0.00021947623324722055, 0.00007486627072207923, -0.0000813278239682211 ], [ -0.00001872624663627645, 0.0002950065727887795, 0.00023720058155394987, -0.00036932659058960024, -0.0004784181480605207, 0.000530055955098867, -0.0001385640210218508, 0.00003478886760485675, -0.000037416955762565414 ] ]

DLxo7QnmTAgW2ce9FSRS856

{"aspect_ratio": 11.356905271781109, "major_radius": 1.0, "max_elongation": 5.69555850973801, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.24793856037731726, -0.03147826973730928, 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": [[0.7267426684421181, 0.7267427081196458, 0.7267445342668, 0.726759774401428, 0.7268229009109167, 0.7270031459690446, 0.7274123665794331, 0.7282077407371137, 0.7295892016093282, 0.7317921376302257, 0.7350762563625532, 0.7397117072025117, 0.7459636308254712, 0.7540762850593833, 0.764257812361637, 0.7766665824683936, 0.7913998804610174, 0.8084855280122415, 0.8278768343147247, 0.8494510817793807, 0.8730115671796739, 0.8982930474177717, 0.9249702853086899, 0.9526692585496519, 0.9809804873054087, 1.0094738547204025, 1.0377142415285174, 1.0652772714181462, 1.0917644678921867, 1.1168171553569515, 1.1401284957709903, 1.1614531354655573, 1.1806140421980436, 1.197506237016508, 1.2120972654140947, 1.2244244032718499, 1.2345887503772306, 1.2427465224183978, 1.249098005235219, 1.2538747760653486, 1.2573259181954168, 1.2597040497289274, 1.2612520452343936, 1.2621913410571273, 1.262712670218809, 1.2629699589243104, 1.2630779198381359, 1.2631135810834397, 1.2631215739801172, 1.2631224391583606, 1.2631224551569538], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4754085139043485}

11.356905

1

5.695559

[ [ 0.7267426684421181, 0.7267427081196458, 0.7267445342668, 0.726759774401428, 0.7268229009109167, 0.7270031459690446, 0.7274123665794331, 0.7282077407371137, 0.7295892016093282, 0.7317921376302257, 0.7350762563625532, 0.7397117072025117, 0.7459636308254712, 0.7540762850593833, 0.764257812361637, 0.7766665824683936, 0.7913998804610174, 0.8084855280122415, 0.8278768343147247, 0.8494510817793807, 0.8730115671796739, 0.8982930474177717, 0.9249702853086899, 0.9526692585496519, 0.9809804873054087, 1.0094738547204025, 1.0377142415285174, 1.0652772714181462, 1.0917644678921867, 1.1168171553569515, 1.1401284957709903, 1.1614531354655573, 1.1806140421980436, 1.197506237016508, 1.2120972654140947, 1.2244244032718499, 1.2345887503772306, 1.2427465224183978, 1.249098005235219, 1.2538747760653486, 1.2573259181954168, 1.2597040497289274, 1.2612520452343936, 1.2621913410571273, 1.262712670218809, 1.2629699589243104, 1.2630779198381359, 1.2631135810834397, 1.2631215739801172, 1.2631224391583606, 1.2631224551569538 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.24793856037731726, -0.03147826973730928, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.475409

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

DGhQMViQicfGsEM4J8vcs2s

null

false

null

false

D5iFkEou9LxkMVwyTXg6SKK

DD9L7FzTMjotuYi86xFPdVc

{"qi": 0.00637804424753234, "vacuum_well": -0.11617945748066125, "aspect_ratio": 9.502084595632729, "max_elongation": 5.022466753749038, "average_triangularity": -0.4361361444921772, "axis_magnetic_mirror_ratio": 0.19205829545854614, "edge_magnetic_mirror_ratio": 0.21590560506825404, "aspect_ratio_over_edge_rotational_transform": 14.873792598470214, "flux_compression_in_regions_of_bad_curvature": 1.4726651545841243, "axis_rotational_transform_over_n_field_periods": 0.15761052232467596, "edge_rotational_transform_over_n_field_periods": 0.21294915274019235, "minimum_normalized_magnetic_gradient_scale_length": 7.473739467747155}

9.502085

14.873793

-0.636401

0.192058

0.157611

0.215906

0.212949

1.472665

5.022467

7.473739

0.006378

-0.116179

{"r_cos":[[0.0,0.0,0.0,0.0,0.9998670951438875,0.050129662319772166,-0.02087039577463702,-0.004498128608503897,-0.0014662644015149872],[0.0004327708049438561,-0.0019525201912105987,-0.019604486704736288,-0.052780130727227884,0.13857940616746597,0.003344660965065801,-0.007089542734396525,0.0003301538900892775,-0.0006890982954774039],[-0.00005560744852606129,-0.0031170688650446173,-0.009114775813538218,-0.00026482158298279327,-0.010034398049034575,0.013619098754216012,-0.0029982802282955984,0.0004612213062460775,-0.00023726179613618698],[0.0011472658053738364,0.0036391231969602053,0.005552979753905727,-0.006411633188234499,-0.0021368033655150215,0.0023992709882962545,-0.0007998699165015556,0.0003977258778091262,0.00001898675080193909],[-0.00012309853068920014,-0.0005739026003054674,-0.0008552236702282681,0.00012537237760743263,-0.0006571993106416346,0.0007063497807885495,-0.00005469008788020841,0.000011204993853792243,0.00002244574601554063]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.24265805204958787,-0.008979020374780246,0.003462782073817878,0.0017119029806767234],[-0.0007304043992554485,-0.0051060342909584715,-0.011700424094615606,-0.070589800087586,-0.11349196055413184,0.03570750403967161,-0.009122674283992353,0.0029106190196193427,0.0005952850340632576],[-0.00021289766444267496,-0.002910161932482775,-0.00910697945461992,-0.00040027586327440374,-0.016102227490290357,0.0020728236221521936,-0.002381532994934415,0.00039239013515268706,0.00007689642426086649],[0.0007206612088906892,0.002999205582540632,0.0021440176984758724,0.004134994655442755,-0.0007453436140157863,0.0006360576392084644,-0.0008070762014498622,0.000054351166348503774,-0.00012063322478279761],[-0.0001282162560863327,-0.00014370542559911503,0.0005735235389681158,-0.00010081193026396679,0.0004637627037367067,-0.0003198427222625397,-0.00010611128386499633,0.0000520765212541212,-5.492606628004063e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9998670951438875, 0.050129662319772166, -0.02087039577463702, -0.004498128608503897, -0.0014662644015149872 ], [ 0.0004327708049438561, -0.0019525201912105987, -0.019604486704736288, -0.052780130727227884, 0.13857940616746597, 0.003344660965065801, -0.007089542734396525, 0.0003301538900892775, -0.0006890982954774039 ], [ -0.00005560744852606129, -0.0031170688650446173, -0.009114775813538218, -0.00026482158298279327, -0.010034398049034575, 0.013619098754216012, -0.0029982802282955984, 0.0004612213062460775, -0.00023726179613618698 ], [ 0.0011472658053738364, 0.0036391231969602053, 0.005552979753905727, -0.006411633188234499, -0.0021368033655150215, 0.0023992709882962545, -0.0007998699165015556, 0.0003977258778091262, 0.00001898675080193909 ], [ -0.00012309853068920014, -0.0005739026003054674, -0.0008552236702282681, 0.00012537237760743263, -0.0006571993106416346, 0.0007063497807885495, -0.00005469008788020841, 0.000011204993853792243, 0.00002244574601554063 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.24265805204958787, -0.008979020374780246, 0.003462782073817878, 0.0017119029806767234 ], [ -0.0007304043992554485, -0.0051060342909584715, -0.011700424094615606, -0.070589800087586, -0.11349196055413184, 0.03570750403967161, -0.009122674283992353, 0.0029106190196193427, 0.0005952850340632576 ], [ -0.00021289766444267496, -0.002910161932482775, -0.00910697945461992, -0.00040027586327440374, -0.016102227490290357, 0.0020728236221521936, -0.002381532994934415, 0.00039239013515268706, 0.00007689642426086649 ], [ 0.0007206612088906892, 0.002999205582540632, 0.0021440176984758724, 0.004134994655442755, -0.0007453436140157863, 0.0006360576392084644, -0.0008070762014498622, 0.000054351166348503774, -0.00012063322478279761 ], [ -0.0001282162560863327, -0.00014370542559911503, 0.0005735235389681158, -0.00010081193026396679, 0.0004637627037367067, -0.0003198427222625397, -0.00010611128386499633, 0.0000520765212541212, -0.000005492606628004063 ] ]

DAyPsL8mAGc3L6XmhRipiFc

{"aspect_ratio": 9.472526223393668, "major_radius": 1.0, "max_elongation": 4.860126060719095, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.3145182862644363, -0.02164614620020074, 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": [[0.8412530173383357, 0.8412531051040941, 0.8412552670983747, 0.8412677718901657, 0.841308372319205, 0.8414058933866629, 0.8416007519732158, 0.8419446805320082, 0.8424998328872937, 0.8433374063441803, 0.8445358888785313, 0.8461790235118776, 0.8483535701058385, 0.8511469358172963, 0.8546447383081474, 0.8589283598996538, 0.8640725458263697, 0.8701430953322535, 0.8771946903929106, 0.8852689032219517, 0.8943924203361434, 0.9045755177435946, 0.9158108187253677, 0.9280723626561037, 0.9413150103114957, 0.9554742081006402, 0.9704661306012017, 0.9861882176256501, 1.0025201187652781, 1.0193250548978834, 1.036451602449889, 1.053735902208365, 1.0710042901018875, 1.0880763425094067, 1.1047683231819332, 1.1208970126002449, 1.1362838933110313, 1.1507596561655324, 1.1641689819810872, 1.1763755403112017, 1.187267130784313, 1.196760871382455, 1.2048083097292628, 1.2114002940230089, 1.216571382784761, 1.2204034841178935, 1.2230282691682406, 1.2246276404498624, 1.2254309930474574, 1.2257066458999981, 1.22573972386044], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4960220711274972}

9.472526

1

4.860126

[ [ 0.8412530173383357, 0.8412531051040941, 0.8412552670983747, 0.8412677718901657, 0.841308372319205, 0.8414058933866629, 0.8416007519732158, 0.8419446805320082, 0.8424998328872937, 0.8433374063441803, 0.8445358888785313, 0.8461790235118776, 0.8483535701058385, 0.8511469358172963, 0.8546447383081474, 0.8589283598996538, 0.8640725458263697, 0.8701430953322535, 0.8771946903929106, 0.8852689032219517, 0.8943924203361434, 0.9045755177435946, 0.9158108187253677, 0.9280723626561037, 0.9413150103114957, 0.9554742081006402, 0.9704661306012017, 0.9861882176256501, 1.0025201187652781, 1.0193250548978834, 1.036451602449889, 1.053735902208365, 1.0710042901018875, 1.0880763425094067, 1.1047683231819332, 1.1208970126002449, 1.1362838933110313, 1.1507596561655324, 1.1641689819810872, 1.1763755403112017, 1.187267130784313, 1.196760871382455, 1.2048083097292628, 1.2114002940230089, 1.216571382784761, 1.2204034841178935, 1.2230282691682406, 1.2246276404498624, 1.2254309930474574, 1.2257066458999981, 1.22573972386044 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.3145182862644363, -0.02164614620020074, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.496022

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

D2TavA9njDxC96iNxqMc6cR

null

false

null

false

DDUNPQxw58JcnbeudPZgoAe

DSHYQqQwDQrGdg84PN2E3yL

{"qi": 0.002501755967258561, "vacuum_well": -0.1212947174617202, "aspect_ratio": 9.857641276506152, "max_elongation": 5.720031077204359, "average_triangularity": -0.5880534263298829, "axis_magnetic_mirror_ratio": 0.2490264096843541, "edge_magnetic_mirror_ratio": 0.2932213224593158, "aspect_ratio_over_edge_rotational_transform": 21.87271974064311, "flux_compression_in_regions_of_bad_curvature": 1.6478608664044312, "axis_rotational_transform_over_n_field_periods": 0.21524462990766174, "edge_rotational_transform_over_n_field_periods": 0.22534100453427003, "minimum_normalized_magnetic_gradient_scale_length": 5.568547294559981}

9.857641

21.87272

-1.031159

0.249026

0.215245

0.293221

0.225341

1.647861

5.720031

5.568547

0.002502

-0.121295

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.002170329211949406,-0.04264365576576974,0.0036140760751631387,0.00112181313985251],[-0.0017738338066191838,-0.0018879821833765911,0.03659959357751838,-0.03990421818516048,0.08164975164133996,-0.024759397856338346,-0.007340705658478384,-0.0007340403389137829,-0.0002802549255327229],[0.0008228068336295781,0.00003652194975027916,-0.011868080688595638,-0.00014279245827647112,-0.019845544186721256,0.003162675868951278,-0.006901669925771542,-0.000027148063968226398,-0.0007111359330222156],[-0.000753547517178647,0.0006781169444258818,0.004373263748768745,-0.000540614035445229,0.0032899717422495566,-0.0026617327732741556,0.0004531409300344703,-0.0008739578102036777,-0.00002786680942714519],[-0.000029051638161954504,0.00025411569706533,-0.0006379298124356807,0.0004547867770124904,0.0000953686188793334,0.00019946786584802966,-0.0004985547178553937,0.000059099973527514636,-0.00009131445194489473]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.09837626999926519,0.028127233616639186,-0.0019599061803941336,-0.0005181691541019714],[-0.001595342288628804,-0.0035189936531568843,0.05163784531508751,-0.0573695188500618,-0.18289240052533434,0.016327652227545307,-0.0053865753083161515,-0.0004556094689459481,0.00031354611314846883],[0.0008419050277650908,0.0005076225943443338,-0.020044810521669322,0.022762119946596774,-0.00974356497044554,-0.0025518033006240656,0.00496055283514084,-0.0002734393744248274,0.0012240773631977725],[-0.0008465734732259814,0.0014615580596552694,0.0034010911693472838,0.004684928927714212,-0.005864764111175992,0.0011703927819741726,-0.00021822774031761286,0.0011307065903439122,0.00010988581962371303],[9.9575914939737e-6,0.0005743997342390538,-0.0005767733648670154,-0.0007400333239446807,-0.00024388894612816783,-0.00008051734095978986,0.0008768416946315893,-0.00019862487281851863,0.00011710254049499816]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.002170329211949406, -0.04264365576576974, 0.0036140760751631387, 0.00112181313985251 ], [ -0.0017738338066191838, -0.0018879821833765911, 0.03659959357751838, -0.03990421818516048, 0.08164975164133996, -0.024759397856338346, -0.007340705658478384, -0.0007340403389137829, -0.0002802549255327229 ], [ 0.0008228068336295781, 0.00003652194975027916, -0.011868080688595638, -0.00014279245827647112, -0.019845544186721256, 0.003162675868951278, -0.006901669925771542, -0.000027148063968226398, -0.0007111359330222156 ], [ -0.000753547517178647, 0.0006781169444258818, 0.004373263748768745, -0.000540614035445229, 0.0032899717422495566, -0.0026617327732741556, 0.0004531409300344703, -0.0008739578102036777, -0.00002786680942714519 ], [ -0.000029051638161954504, 0.00025411569706533, -0.0006379298124356807, 0.0004547867770124904, 0.0000953686188793334, 0.00019946786584802966, -0.0004985547178553937, 0.000059099973527514636, -0.00009131445194489473 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.09837626999926519, 0.028127233616639186, -0.0019599061803941336, -0.0005181691541019714 ], [ -0.001595342288628804, -0.0035189936531568843, 0.05163784531508751, -0.0573695188500618, -0.18289240052533434, 0.016327652227545307, -0.0053865753083161515, -0.0004556094689459481, 0.00031354611314846883 ], [ 0.0008419050277650908, 0.0005076225943443338, -0.020044810521669322, 0.022762119946596774, -0.00974356497044554, -0.0025518033006240656, 0.00496055283514084, -0.0002734393744248274, 0.0012240773631977725 ], [ -0.0008465734732259814, 0.0014615580596552694, 0.0034010911693472838, 0.004684928927714212, -0.005864764111175992, 0.0011703927819741726, -0.00021822774031761286, 0.0011307065903439122, 0.00010988581962371303 ], [ 0.0000099575914939737, 0.0005743997342390538, -0.0005767733648670154, -0.0007400333239446807, -0.00024388894612816783, -0.00008051734095978986, 0.0008768416946315893, -0.00019862487281851863, 0.00011710254049499816 ] ]

DLrtEBUfKfhFxQ8tSW2bVAL

{"aspect_ratio": 11.04407781352026, "major_radius": 1.0, "max_elongation": 5.54822566528799, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.009157893421980215, 0.042178729707275625, 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": [[0.7648012477243202, 0.7648012699923091, 0.7648022108033599, 0.764809745250207, 0.7648403327034957, 0.7649269927901151, 0.765123798636016, 0.7655086344703238, 0.7661840553290578, 0.7672762657652514, 0.7689323534926539, 0.7713159944684291, 0.7746018994223299, 0.778969305047354, 0.7845948304148619, 0.7916450237737851, 0.8002689190400192, 0.8105909067603011, 0.8227042025777579, 0.8366651684243782, 0.8524887088364878, 0.8701449278251258, 0.8895571914344752, 0.9106016982216105, 0.9331086150750517, 0.9568647897100794, 0.9816180044670441, 1.0070826893170068, 1.0329469658696677, 1.0588808493152073, 1.0845453922692911, 1.1096025141170407, 1.133725222401933, 1.156607899876973, 1.177976302909446, 1.1975968949985254, 1.2152851243640865, 1.2309122482263521, 1.2444103101124526, 1.2557748922508978, 1.2650652953079433, 1.2724018455722934, 1.2779600994901572, 1.2819618131704593, 1.2846626788581248, 1.2863370149069018, 1.2872598527854655, 1.2876872343870813, 1.287836097160753, 1.2878660809668654, 1.2878675889088753], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.44933910567274205}

11.044078

1

5.548226

[ [ 0.7648012477243202, 0.7648012699923091, 0.7648022108033599, 0.764809745250207, 0.7648403327034957, 0.7649269927901151, 0.765123798636016, 0.7655086344703238, 0.7661840553290578, 0.7672762657652514, 0.7689323534926539, 0.7713159944684291, 0.7746018994223299, 0.778969305047354, 0.7845948304148619, 0.7916450237737851, 0.8002689190400192, 0.8105909067603011, 0.8227042025777579, 0.8366651684243782, 0.8524887088364878, 0.8701449278251258, 0.8895571914344752, 0.9106016982216105, 0.9331086150750517, 0.9568647897100794, 0.9816180044670441, 1.0070826893170068, 1.0329469658696677, 1.0588808493152073, 1.0845453922692911, 1.1096025141170407, 1.133725222401933, 1.156607899876973, 1.177976302909446, 1.1975968949985254, 1.2152851243640865, 1.2309122482263521, 1.2444103101124526, 1.2557748922508978, 1.2650652953079433, 1.2724018455722934, 1.2779600994901572, 1.2819618131704593, 1.2846626788581248, 1.2863370149069018, 1.2872598527854655, 1.2876872343870813, 1.287836097160753, 1.2878660809668654, 1.2878675889088753 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.009157893421980215, 0.042178729707275625, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.449339

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

DRaugzBrCVhwcJniovvpsAe

null

false

null

false

DfdWp2KonbiHLNojefVT2ef

DBDcHmYFgBo6XdKaaAAirWr

{"qi": 0.007056131805264066, "vacuum_well": -0.026879021969430025, "aspect_ratio": 7.264773728607936, "max_elongation": 5.825800812545665, "average_triangularity": 0.3544709169973601, "axis_magnetic_mirror_ratio": 0.23876495000591275, "edge_magnetic_mirror_ratio": 0.2728204140289812, "aspect_ratio_over_edge_rotational_transform": 9.106650335866787, "flux_compression_in_regions_of_bad_curvature": 2.005952842859566, "axis_rotational_transform_over_n_field_periods": 0.2289225898005411, "edge_rotational_transform_over_n_field_periods": 0.19943594682655788, "minimum_normalized_magnetic_gradient_scale_length": 3.696224554305742}

7.264774

9.10665

0.332956

0.238765

0.228923

0.27282

0.199436

2.005953

5.825801

3.696225

0.007056

-0.026879

{"r_cos":[[0.0,0.0,0.0,0.0,0.9952238587405524,0.05907953113199456,0.01681551610249222,0.0007841433715341067,0.0009446881152518054],[-0.0009007105264885339,-0.0054930926990460595,-0.04761281569757507,-0.027986449893525688,0.19969208267949537,-0.04637754262207008,0.01569655926770402,-0.003929218045909938,0.0007876639035668176],[0.0005497190307769724,0.0004950565994224602,-0.000659449994818348,0.02881235628071739,0.01732065164416817,-0.007037486308187015,-0.0016652101526208314,-0.001969486121966825,0.000025535016874534354],[0.0010519980994455978,0.001446160356998862,0.002080356082862521,-0.000809712174977531,-0.00017970509609022223,-0.0011309805528043734,-0.00043799391188537886,-0.000021666508216610443,0.0000654029901393853],[-0.00001872540600056106,-0.000244500826822676,-0.000060337351584460555,-0.00010981237858482054,-0.00004456173572797359,0.000027700995974152397,0.00006240939996448238,0.000057319479421737916,0.0000284170083979189]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.537860820857071,-0.003132053611415567,-0.020664941449716027,0.0016856312540874108],[-0.005849132459523405,-0.011928078661745984,-0.0681156631054121,-0.03703741555541862,-0.1097240233209374,0.0016981823183872258,-0.010541350449516488,0.0005843324173456996,-0.0003928371589744725],[0.000026054002232565537,0.004849197415249879,0.0034153853701178955,-0.017076227461849624,0.011116161556345497,0.00855283864796844,0.002901318211704482,0.002473906586347581,0.00019814915876766178],[0.00038591631167111343,0.0015390339627820537,-0.0018728421671467162,-0.00012308017146590118,0.0022802006881046063,0.0018284734241922145,-0.00010733409841433251,0.000034759052408033734,-0.00011305850531301363],[-0.00010613752441622807,-0.00024812286589135773,0.00025367729501487603,0.0004281556160720402,0.00046361088650393947,0.00005597477921399574,-0.00014651372807716355,-0.00007498620169525698,-0.00007049904095170949]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9952238587405524, 0.05907953113199456, 0.01681551610249222, 0.0007841433715341067, 0.0009446881152518054 ], [ -0.0009007105264885339, -0.0054930926990460595, -0.04761281569757507, -0.027986449893525688, 0.19969208267949537, -0.04637754262207008, 0.01569655926770402, -0.003929218045909938, 0.0007876639035668176 ], [ 0.0005497190307769724, 0.0004950565994224602, -0.000659449994818348, 0.02881235628071739, 0.01732065164416817, -0.007037486308187015, -0.0016652101526208314, -0.001969486121966825, 0.000025535016874534354 ], [ 0.0010519980994455978, 0.001446160356998862, 0.002080356082862521, -0.000809712174977531, -0.00017970509609022223, -0.0011309805528043734, -0.00043799391188537886, -0.000021666508216610443, 0.0000654029901393853 ], [ -0.00001872540600056106, -0.000244500826822676, -0.000060337351584460555, -0.00010981237858482054, -0.00004456173572797359, 0.000027700995974152397, 0.00006240939996448238, 0.000057319479421737916, 0.0000284170083979189 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.537860820857071, -0.003132053611415567, -0.020664941449716027, 0.0016856312540874108 ], [ -0.005849132459523405, -0.011928078661745984, -0.0681156631054121, -0.03703741555541862, -0.1097240233209374, 0.0016981823183872258, -0.010541350449516488, 0.0005843324173456996, -0.0003928371589744725 ], [ 0.000026054002232565537, 0.004849197415249879, 0.0034153853701178955, -0.017076227461849624, 0.011116161556345497, 0.00855283864796844, 0.002901318211704482, 0.002473906586347581, 0.00019814915876766178 ], [ 0.00038591631167111343, 0.0015390339627820537, -0.0018728421671467162, -0.00012308017146590118, 0.0022802006881046063, 0.0018284734241922145, -0.00010733409841433251, 0.000034759052408033734, -0.00011305850531301363 ], [ -0.00010613752441622807, -0.00024812286589135773, 0.00025367729501487603, 0.0004281556160720402, 0.00046361088650393947, 0.00005597477921399574, -0.00014651372807716355, -0.00007498620169525698, -0.00007049904095170949 ] ]

DZjVWf62hEHGF8CZ7LaJnnD

{"aspect_ratio": 7.192136492560857, "major_radius": 1.0, "max_elongation": 5.235439249121654, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.17308092505287792, 0.4940595286425783, 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": [[0.7522978236943212, 0.7523132090268471, 0.7524728339710074, 0.753004739709725, 0.7541657206247917, 0.7562077318438198, 0.7593584163361617, 0.7638092139793228, 0.7697084118572024, 0.7771576932018595, 0.786211267553104, 0.7968769412132615, 0.8091186512096855, 0.8228600922187185, 0.8379891393735704, 0.8543628234210511, 0.8718126554166644, 0.8901501302421446, 0.909172264291009, 0.9286670443768412, 0.9484186834038513, 0.9682125943811393, 0.9878400085173366, 1.0071021758069765, 1.0258140980170927, 1.0438077545331461, 1.060934791306909, 1.077068652307718, 1.0921061415274773, 1.105968411823854, 1.1186013847852943, 1.129975613435058, 1.1400856070210916, 1.1489486444209631, 1.1566031098804224, 1.163106391954347, 1.168532393685955, 1.1729687093053274, 1.176513530121214, 1.1792723499041178, 1.1813545480176408, 1.1828699369843412, 1.1839253702555483, 1.184621515952232, 1.1850499136433612, 1.1852904444366898, 1.1854093607903247, 1.1854580433534847, 1.1854726815327683, 1.1854751211664503, 1.1854752141667566], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.9661643708749573}

7.192136

1

5.235439

[ [ 0.7522978236943212, 0.7523132090268471, 0.7524728339710074, 0.753004739709725, 0.7541657206247917, 0.7562077318438198, 0.7593584163361617, 0.7638092139793228, 0.7697084118572024, 0.7771576932018595, 0.786211267553104, 0.7968769412132615, 0.8091186512096855, 0.8228600922187185, 0.8379891393735704, 0.8543628234210511, 0.8718126554166644, 0.8901501302421446, 0.909172264291009, 0.9286670443768412, 0.9484186834038513, 0.9682125943811393, 0.9878400085173366, 1.0071021758069765, 1.0258140980170927, 1.0438077545331461, 1.060934791306909, 1.077068652307718, 1.0921061415274773, 1.105968411823854, 1.1186013847852943, 1.129975613435058, 1.1400856070210916, 1.1489486444209631, 1.1566031098804224, 1.163106391954347, 1.168532393685955, 1.1729687093053274, 1.176513530121214, 1.1792723499041178, 1.1813545480176408, 1.1828699369843412, 1.1839253702555483, 1.184621515952232, 1.1850499136433612, 1.1852904444366898, 1.1854093607903247, 1.1854580433534847, 1.1854726815327683, 1.1854751211664503, 1.1854752141667566 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.17308092505287792, 0.4940595286425783, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.966164

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

DPaT2rVMZJKxou5tCBnihi6

null

false

null

false

DNDEyTUkNaZCatqQLHBJjWS

DGTt6RtDQ74Sz8TFanbgPFF

{"qi": 0.0025746335038209943, "vacuum_well": 0.04190689766148632, "aspect_ratio": 9.354107114090327, "max_elongation": 6.922383175202897, "average_triangularity": 0.2962320145496696, "axis_magnetic_mirror_ratio": 0.33719653724671866, "edge_magnetic_mirror_ratio": 0.3764157728285833, "aspect_ratio_over_edge_rotational_transform": 90.36074280174398, "flux_compression_in_regions_of_bad_curvature": 0.7620443171149828, "axis_rotational_transform_over_n_field_periods": 0.12066901968273053, "edge_rotational_transform_over_n_field_periods": 0.10351959074322474, "minimum_normalized_magnetic_gradient_scale_length": 4.669095045808712}

9.354107

90.360743

0.500856

0.337197

0.120669

0.376416

0.10352

0.762044

6.922383

4.669095

0.002575

0.041907

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.00291694840800227,-0.20378594694325863,-0.005244895812888897,0.013169933639707865],[0.0034266610455184303,-0.020006821928180547,0.02557253519233573,-0.0007267095270412569,0.06458057170214457,-0.03493155829035278,-0.009077580082039077,0.004214827739180915,0.0003495694883184847],[0.0013595583277614723,-0.0008776559789055744,-0.006998206370021087,0.0024752094006328623,0.0136256446191932,-0.0015724576213532724,-0.002124755312821562,-0.002204261220148626,0.00038678581011501403],[-0.000396719037889849,0.0012846243188457908,0.0006373412264099195,-0.0034812657961252394,-0.00252463052251744,0.0032090938591135135,0.0004204121273871991,0.00004024291284719379,-0.00011218046583747469],[-0.00003186484880686861,-0.000014864807919226595,0.0003193535217280817,0.00001662471349599061,-0.00007034831118113774,0.00007353965644145487,0.00028884785239212873,-0.00003617177225331749,-0.0000625838854451537]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.00914769814301265,0.009242520954977164,-0.00270815018919404,-0.0003337491120841869],[0.006350295677983803,-0.019187158653454536,0.048065525108001717,-0.012234170713021792,-0.21421023383292287,-0.0144429519803704,0.001233871475543269,-0.00584419139320534,-0.00037777030361722504],[0.0005229657143575001,-0.003408678281808394,0.01020490676343861,-0.0062243980410301245,0.009144674267762026,-0.001823116214592285,-0.0055008636941683495,-0.0000460571887428542,-0.0006792665821704766],[-0.0005848377410707535,0.0019780203909913305,-0.003343565645817106,0.0009859201739545402,0.0017281474045653207,-0.0025738290907915016,-0.0003300423366062637,0.00007809474672306014,9.930546066270931e-6],[0.00021616989203399083,-0.0002179054425818152,0.0003349193561800871,0.0001393902402115081,-0.00004940715730372821,0.000013001475795361558,0.00020178334549511348,-0.000029486029945288364,-0.000016338680724878557]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.00291694840800227, -0.20378594694325863, -0.005244895812888897, 0.013169933639707865 ], [ 0.0034266610455184303, -0.020006821928180547, 0.02557253519233573, -0.0007267095270412569, 0.06458057170214457, -0.03493155829035278, -0.009077580082039077, 0.004214827739180915, 0.0003495694883184847 ], [ 0.0013595583277614723, -0.0008776559789055744, -0.006998206370021087, 0.0024752094006328623, 0.0136256446191932, -0.0015724576213532724, -0.002124755312821562, -0.002204261220148626, 0.00038678581011501403 ], [ -0.000396719037889849, 0.0012846243188457908, 0.0006373412264099195, -0.0034812657961252394, -0.00252463052251744, 0.0032090938591135135, 0.0004204121273871991, 0.00004024291284719379, -0.00011218046583747469 ], [ -0.00003186484880686861, -0.000014864807919226595, 0.0003193535217280817, 0.00001662471349599061, -0.00007034831118113774, 0.00007353965644145487, 0.00028884785239212873, -0.00003617177225331749, -0.0000625838854451537 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.00914769814301265, 0.009242520954977164, -0.00270815018919404, -0.0003337491120841869 ], [ 0.006350295677983803, -0.019187158653454536, 0.048065525108001717, -0.012234170713021792, -0.21421023383292287, -0.0144429519803704, 0.001233871475543269, -0.00584419139320534, -0.00037777030361722504 ], [ 0.0005229657143575001, -0.003408678281808394, 0.01020490676343861, -0.0062243980410301245, 0.009144674267762026, -0.001823116214592285, -0.0055008636941683495, -0.0000460571887428542, -0.0006792665821704766 ], [ -0.0005848377410707535, 0.0019780203909913305, -0.003343565645817106, 0.0009859201739545402, 0.0017281474045653207, -0.0025738290907915016, -0.0003300423366062637, 0.00007809474672306014, 0.000009930546066270931 ], [ 0.00021616989203399083, -0.0002179054425818152, 0.0003349193561800871, 0.0001393902402115081, -0.00004940715730372821, 0.000013001475795361558, 0.00020178334549511348, -0.000029486029945288364, -0.000016338680724878557 ] ]

DjazKThJJ5TQ46mVihGFctP

{"aspect_ratio": 10.269710733755534, "major_radius": 1.0, "max_elongation": 6.310133542415977, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.17429109740197582, 0.24775605994680341, 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": [[0.6877813107498669, 0.6877814075235917, 0.6877845218776847, 0.6878056110999577, 0.6878816548575224, 0.6880784914579721, 0.6884942864017738, 0.6892599196685173, 0.6905367005329699, 0.6925118643364718, 0.6953923170168202, 0.6993970858682623, 0.704748916237728, 0.7116654276044067, 0.7203502110994865, 0.730984215530552, 0.743717731433494, 0.7586632433469056, 0.7758893799683316, 0.7954161505650412, 0.8172116143483559, 0.8411900877973653, 0.8672119534134809, 0.8950850923537188, 0.9245679230629914, 0.9553739886298658, 0.9871779973490147, 1.019623184112607, 1.0523298250060726, 1.084904704099152, 1.1169513001695401, 1.1480804322705376, 1.177921076989935, 1.2061310473277986, 1.2324072037928475, 1.2564948531119666, 1.2781959795083986, 1.2973759486257204, 1.3139683258585306, 1.3279774603890189, 1.3394785053306208, 1.3486145753723602, 1.3555907894716475, 1.3606650122373276, 1.3641352009796672, 1.3663233977651505, 1.3675565975751982, 1.3681450133203454, 1.368358728093242, 1.3684045843173438, 1.3684071501428252], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.21686272616411129}

10.269711

1

6.310134

[ [ 0.6877813107498669, 0.6877814075235917, 0.6877845218776847, 0.6878056110999577, 0.6878816548575224, 0.6880784914579721, 0.6884942864017738, 0.6892599196685173, 0.6905367005329699, 0.6925118643364718, 0.6953923170168202, 0.6993970858682623, 0.704748916237728, 0.7116654276044067, 0.7203502110994865, 0.730984215530552, 0.743717731433494, 0.7586632433469056, 0.7758893799683316, 0.7954161505650412, 0.8172116143483559, 0.8411900877973653, 0.8672119534134809, 0.8950850923537188, 0.9245679230629914, 0.9553739886298658, 0.9871779973490147, 1.019623184112607, 1.0523298250060726, 1.084904704099152, 1.1169513001695401, 1.1480804322705376, 1.177921076989935, 1.2061310473277986, 1.2324072037928475, 1.2564948531119666, 1.2781959795083986, 1.2973759486257204, 1.3139683258585306, 1.3279774603890189, 1.3394785053306208, 1.3486145753723602, 1.3555907894716475, 1.3606650122373276, 1.3641352009796672, 1.3663233977651505, 1.3675565975751982, 1.3681450133203454, 1.368358728093242, 1.3684045843173438, 1.3684071501428252 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.17429109740197582, 0.24775605994680341, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.216863

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

DZnPvUW8L9bz4pZ7DpMsbge

null

false

null

false

DnQYgMpvtWYDzf2Ud3RDm6g

DHAR3vasGcy7UiAfMp3DcSs

{"qi": 0.0018237530739179633, "vacuum_well": -0.2033329884046334, "aspect_ratio": 9.479666537584446, "max_elongation": 7.12703153620067, "average_triangularity": -0.6499594194724295, "axis_magnetic_mirror_ratio": 0.3628170632528766, "edge_magnetic_mirror_ratio": 0.41251476540437726, "aspect_ratio_over_edge_rotational_transform": 16.138224308158193, "flux_compression_in_regions_of_bad_curvature": 1.2967902537011402, "axis_rotational_transform_over_n_field_periods": 0.12732830953722976, "edge_rotational_transform_over_n_field_periods": 0.19580151976596927, "minimum_normalized_magnetic_gradient_scale_length": 5.218940004614202}

9.479667

16.138224

-1.134547

0.362817

0.127328

0.412515

0.195802

1.29679

7.127032

5.21894

0.001824

-0.203333

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.07517590643692357,-0.01858918828898311,-0.005168836773842703,-0.0005401934889783582],[0.0012761182491605135,0.005045403267742083,0.012408505408720384,-0.04742226898033836,0.09129018417623531,-0.0282043622884501,-0.005766131612200472,-0.0020689400782513655,-0.00042522759964001855],[0.0025622220671359447,-0.0030547493273783985,-0.013194274890202366,-0.012542417005505107,-0.013136710030744706,-0.003095693135542154,0.0022519605136773454,-0.00027620110814631765,-0.00010742434484164033],[-0.0025775071861094175,0.0019447310770989343,0.007182965563418783,0.006889544482983671,0.007535508505408517,0.00042867054840452397,-0.000361620469884917,0.000022035751052383048,-0.000013453682836862867],[0.0002447742217559872,-0.0004609172195390045,0.00032765722853628514,0.0025952358544242427,0.0008378153223917257,0.00013059148329199258,0.0002454963589834081,-0.00003838918988357349,-6.298958517347362e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.060550504574518514,0.005695871901482199,0.001318586697512736,0.0007228332722868415],[0.00023382979973829717,0.003663667150591691,0.019304786857933996,-0.06605208242931639,-0.1452945897724041,0.01926272395793606,0.0010654941156222723,-0.001474717592725421,0.00019340925730559918],[0.002120451101537291,-0.006336238993763375,-0.014392642220713101,0.034220251056548426,0.009394149596783946,0.00331060705229959,-0.0009521020637898942,-0.0005390057324771171,0.00012846176706947854],[-0.0016075588116306618,0.005370425892369414,0.0012629346510578386,0.00847516445508141,-0.005252454304361173,-0.0008112161578531984,0.00043077028697815383,-0.0003151176267046688,0.00004137476948374121],[0.00047452135583672477,-0.0013334806387909721,0.0026435238857954757,-0.001047643953932131,-0.0007242866753762048,0.00009852190274442621,-0.00017389858722065147,-0.00008747793978627915,9.12330385603689e-7]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.07517590643692357, -0.01858918828898311, -0.005168836773842703, -0.0005401934889783582 ], [ 0.0012761182491605135, 0.005045403267742083, 0.012408505408720384, -0.04742226898033836, 0.09129018417623531, -0.0282043622884501, -0.005766131612200472, -0.0020689400782513655, -0.00042522759964001855 ], [ 0.0025622220671359447, -0.0030547493273783985, -0.013194274890202366, -0.012542417005505107, -0.013136710030744706, -0.003095693135542154, 0.0022519605136773454, -0.00027620110814631765, -0.00010742434484164033 ], [ -0.0025775071861094175, 0.0019447310770989343, 0.007182965563418783, 0.006889544482983671, 0.007535508505408517, 0.00042867054840452397, -0.000361620469884917, 0.000022035751052383048, -0.000013453682836862867 ], [ 0.0002447742217559872, -0.0004609172195390045, 0.00032765722853628514, 0.0025952358544242427, 0.0008378153223917257, 0.00013059148329199258, 0.0002454963589834081, -0.00003838918988357349, -0.000006298958517347362 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.060550504574518514, 0.005695871901482199, 0.001318586697512736, 0.0007228332722868415 ], [ 0.00023382979973829717, 0.003663667150591691, 0.019304786857933996, -0.06605208242931639, -0.1452945897724041, 0.01926272395793606, 0.0010654941156222723, -0.001474717592725421, 0.00019340925730559918 ], [ 0.002120451101537291, -0.006336238993763375, -0.014392642220713101, 0.034220251056548426, 0.009394149596783946, 0.00331060705229959, -0.0009521020637898942, -0.0005390057324771171, 0.00012846176706947854 ], [ -0.0016075588116306618, 0.005370425892369414, 0.0012629346510578386, 0.00847516445508141, -0.005252454304361173, -0.0008112161578531984, 0.00043077028697815383, -0.0003151176267046688, 0.00004137476948374121 ], [ 0.00047452135583672477, -0.0013334806387909721, 0.0026435238857954757, -0.001047643953932131, -0.0007242866753762048, 0.00009852190274442621, -0.00017389858722065147, -0.00008747793978627915, 9.12330385603689e-7 ] ]

DMSHeZqrrJkYZoRF7QpVFqt

{"aspect_ratio": 11.469250265878296, "major_radius": 1.0, "max_elongation": 6.752806938007627, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0315066921335477, -0.07048261191099527, 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": [[0.6945096194444499, 0.6945096246220537, 0.6945098844013881, 0.6945122222878085, 0.69452262333421, 0.694554457507233, 0.6946318624647454, 0.694792955074233, 0.6950926259100545, 0.6956047324328387, 0.6964235555525778, 0.6976644254406428, 0.6994634581600576, 0.7019763762957512, 0.7053764151388835, 0.7098513416718553, 0.7155996369957736, 0.722825914207545, 0.7317356632583757, 0.7425294321418985, 0.7553965699584549, 0.7705086720385002, 0.7880128804106065, 0.808025204470822, 0.830624036729176, 0.8558440469310307, 0.8836706446057743, 0.9140352050850749, 0.946811257127383, 0.9818118313157382, 1.01878816714586, 1.0574299729145848, 1.097367425801144, 1.13817508944976, 1.1793779123186092, 1.220459451276557, 1.2608724403606173, 1.300051792831773, 1.337430083706651, 1.372455506979793, 1.4046122326565786, 1.4334429972394491, 1.4585736376192506, 1.479739106245304, 1.4968102568878559, 1.5098203131040742, 1.5189893203411469, 1.5247437999616444, 1.5277266451143259, 1.5287869457177847, 1.5289197273122996], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.49111747612566314}

11.46925

1

6.752807

[ [ 0.6945096194444499, 0.6945096246220537, 0.6945098844013881, 0.6945122222878085, 0.69452262333421, 0.694554457507233, 0.6946318624647454, 0.694792955074233, 0.6950926259100545, 0.6956047324328387, 0.6964235555525778, 0.6976644254406428, 0.6994634581600576, 0.7019763762957512, 0.7053764151388835, 0.7098513416718553, 0.7155996369957736, 0.722825914207545, 0.7317356632583757, 0.7425294321418985, 0.7553965699584549, 0.7705086720385002, 0.7880128804106065, 0.808025204470822, 0.830624036729176, 0.8558440469310307, 0.8836706446057743, 0.9140352050850749, 0.946811257127383, 0.9818118313157382, 1.01878816714586, 1.0574299729145848, 1.097367425801144, 1.13817508944976, 1.1793779123186092, 1.220459451276557, 1.2608724403606173, 1.300051792831773, 1.337430083706651, 1.372455506979793, 1.4046122326565786, 1.4334429972394491, 1.4585736376192506, 1.479739106245304, 1.4968102568878559, 1.5098203131040742, 1.5189893203411469, 1.5247437999616444, 1.5277266451143259, 1.5287869457177847, 1.5289197273122996 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.0315066921335477, -0.07048261191099527, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.491117

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

DiEB6Kst757sxohffMtYT9a

null

false

null

false

DPip8mKyqTZT7rxZeA2QBtu

DWY7LSwrumm2zGhsdg95RJe

{"qi": 0.0018462732492544843, "vacuum_well": -0.10032070003437098, "aspect_ratio": 9.63358462555163, "max_elongation": 6.083543334151206, "average_triangularity": -0.3134825857058236, "axis_magnetic_mirror_ratio": 0.3067757767473236, "edge_magnetic_mirror_ratio": 0.3387428594087444, "aspect_ratio_over_edge_rotational_transform": 16.908259450201562, "flux_compression_in_regions_of_bad_curvature": 1.5914316738379846, "axis_rotational_transform_over_n_field_periods": 0.14661509896535765, "edge_rotational_transform_over_n_field_periods": 0.189918713078749, "minimum_normalized_magnetic_gradient_scale_length": 5.663512226706583}

9.633585

16.908259

-0.546366

0.306776

0.146615

0.338743

0.189919

1.591432

6.083543

5.663512

0.001846

-0.100321

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.041721951704980706,-0.015397364099307668,-0.002276566360331557,0.0002043580981692314],[-0.0006242683260292323,-0.004576355511528447,-0.02014528296245243,-0.0622183711515586,0.09758212636423763,0.019001953150446484,0.008405040599790992,-0.00021533668422713459,-0.0004927230887554048],[0.0008852697416737007,-0.00015798149162483905,0.0018948078208529974,-0.0014155677636260387,-0.013000651455977908,0.0015295078700993258,0.00243808552387384,0.000464910665602542,0.0003030473473363865],[-0.00009689573801267296,0.0033863336740348484,0.0030799566770938792,-0.006108265700242414,0.0007082423207247569,-0.0011049715371191917,-0.0007753966606089302,-0.00008817095917335472,0.00006478699504613594],[0.00008128353674049572,-0.0014032320075784705,0.00035573669342222773,0.0018961282481011715,-0.00033674201547396213,-0.00031360112544857974,0.00015841579367589564,-0.00003163299293910309,0.00003746996146422578]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14139085652818428,-0.007115485786185026,0.0013371728023867883,0.0005142519113251789],[-0.0011050602645991106,-0.0006000210515789209,0.012210223656669593,-0.06909044502411238,-0.15909167814096728,0.024381718196025137,-0.00009476789089110562,-0.0015586082936978611,-0.00019517517375489308],[0.0006820002162249856,-0.001138961930617888,-0.0023287086298374457,0.024513599074409205,-0.010262345508679244,-0.009856853806591896,0.00002200117892140461,-0.00015330360495915268,-0.000565759658913434],[-0.0007563393911993875,0.004613092847761187,-0.0004137046969529036,0.0038845041561161556,0.001969270477234181,0.001732256681133321,-0.00002252831270141867,-0.00006612243748163778,-0.00012511674652806494],[-0.00045507119511635497,-0.0006127583978271156,0.00043862277020517574,-0.0013422427475010762,-0.0005033653286302238,0.0005367561532977447,0.0000205969186889226,-0.00008749351543308967,4.1764966408147045e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.041721951704980706, -0.015397364099307668, -0.002276566360331557, 0.0002043580981692314 ], [ -0.0006242683260292323, -0.004576355511528447, -0.02014528296245243, -0.0622183711515586, 0.09758212636423763, 0.019001953150446484, 0.008405040599790992, -0.00021533668422713459, -0.0004927230887554048 ], [ 0.0008852697416737007, -0.00015798149162483905, 0.0018948078208529974, -0.0014155677636260387, -0.013000651455977908, 0.0015295078700993258, 0.00243808552387384, 0.000464910665602542, 0.0003030473473363865 ], [ -0.00009689573801267296, 0.0033863336740348484, 0.0030799566770938792, -0.006108265700242414, 0.0007082423207247569, -0.0011049715371191917, -0.0007753966606089302, -0.00008817095917335472, 0.00006478699504613594 ], [ 0.00008128353674049572, -0.0014032320075784705, 0.00035573669342222773, 0.0018961282481011715, -0.00033674201547396213, -0.00031360112544857974, 0.00015841579367589564, -0.00003163299293910309, 0.00003746996146422578 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14139085652818428, -0.007115485786185026, 0.0013371728023867883, 0.0005142519113251789 ], [ -0.0011050602645991106, -0.0006000210515789209, 0.012210223656669593, -0.06909044502411238, -0.15909167814096728, 0.024381718196025137, -0.00009476789089110562, -0.0015586082936978611, -0.00019517517375489308 ], [ 0.0006820002162249856, -0.001138961930617888, -0.0023287086298374457, 0.024513599074409205, -0.010262345508679244, -0.009856853806591896, 0.00002200117892140461, -0.00015330360495915268, -0.000565759658913434 ], [ -0.0007563393911993875, 0.004613092847761187, -0.0004137046969529036, 0.0038845041561161556, 0.001969270477234181, 0.001732256681133321, -0.00002252831270141867, -0.00006612243748163778, -0.00012511674652806494 ], [ -0.00045507119511635497, -0.0006127583978271156, 0.00043862277020517574, -0.0013422427475010762, -0.0005033653286302238, 0.0005367561532977447, 0.0000205969186889226, -0.00008749351543308967, 0.0000041764966408147045 ] ]

DFVqfjpnwHvtKonSnKy3TA7

{"aspect_ratio": 9.759695932795392, "major_radius": 1.0, "max_elongation": 6.08283856590428, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.15572177066871903, -0.26538375374113643, 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": [[0.7642914808373611, 0.76429152182473, 0.76429265628057, 0.7642997579121378, 0.7643242703250248, 0.764386237246698, 0.7645157418103348, 0.7647538338335299, 0.7651529990275276, 0.7657772126630688, 0.7667016139451326, 0.7680118335518248, 0.7698030043739633, 0.7721784839222127, 0.775248315865615, 0.77912745756773, 0.7839338001979193, 0.7897860079567623, 0.7968012031306941, 0.8050925240617909, 0.8147665836754842, 0.8259208569519687, 0.8386410266639645, 0.8529983178494347, 0.8690468528657153, 0.886821060512867, 0.9063331746609168, 0.9275708601229902, 0.9504950062556564, 0.9750377320324227, 1.0011006502485098, 1.0285534432367152, 1.0572328082218518, 1.08694183750865, 1.1174499074894007, 1.148493161539302, 1.1797756860480952, 1.2109714972962176, 1.2417274813873167, 1.2716674627105617, 1.3003976227338145, 1.3275135574158492, 1.352609360362019, 1.3752892720659113, 1.3951826855048077, 1.4119637326290748, 1.4253774945027438, 1.43527659565465, 1.4416761521208625, 1.4448482573618553, 1.445549906035741], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3819905119008154}

9.759696

1

6.082839

[ [ 0.7642914808373611, 0.76429152182473, 0.76429265628057, 0.7642997579121378, 0.7643242703250248, 0.764386237246698, 0.7645157418103348, 0.7647538338335299, 0.7651529990275276, 0.7657772126630688, 0.7667016139451326, 0.7680118335518248, 0.7698030043739633, 0.7721784839222127, 0.775248315865615, 0.77912745756773, 0.7839338001979193, 0.7897860079567623, 0.7968012031306941, 0.8050925240617909, 0.8147665836754842, 0.8259208569519687, 0.8386410266639645, 0.8529983178494347, 0.8690468528657153, 0.886821060512867, 0.9063331746609168, 0.9275708601229902, 0.9504950062556564, 0.9750377320324227, 1.0011006502485098, 1.0285534432367152, 1.0572328082218518, 1.08694183750865, 1.1174499074894007, 1.148493161539302, 1.1797756860480952, 1.2109714972962176, 1.2417274813873167, 1.2716674627105617, 1.3003976227338145, 1.3275135574158492, 1.352609360362019, 1.3752892720659113, 1.3951826855048077, 1.4119637326290748, 1.4253774945027438, 1.43527659565465, 1.4416761521208625, 1.4448482573618553, 1.445549906035741 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.15572177066871903, -0.26538375374113643, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.381991

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

D522ofbX7kRxjFZXgSTbZV7

null

false

null

false

DftqR6kEJqUPNPRQaBvNyUy

D5HFXxv97BTArQsp4chCr5K

{"qi": 0.0009473615717950363, "vacuum_well": -0.14246572421778061, "aspect_ratio": 9.393072821970065, "max_elongation": 7.421239994282329, "average_triangularity": -0.4674071696959565, "axis_magnetic_mirror_ratio": 0.3879058852964242, "edge_magnetic_mirror_ratio": 0.4169093786388455, "aspect_ratio_over_edge_rotational_transform": 20.132030463268496, "flux_compression_in_regions_of_bad_curvature": 1.787014724907583, "axis_rotational_transform_over_n_field_periods": 0.2818211432212107, "edge_rotational_transform_over_n_field_periods": 0.4665735450335232, "minimum_normalized_magnetic_gradient_scale_length": 2.4114543295400606}

9.393073

20.13203

-0.549992

0.387906

0.281821

0.416909

0.466574

1.787015

7.42124

2.411454

0.000947

-0.142466

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.1199663301113969,-0.2543984488568366,0.010516116476096833,0.02541465425448345],[-0.0007125789517074231,-0.0029494386499462886,0.06550270794607066,-0.006479075731834844,0.07873994453641875,-0.017836865928335235,-0.029172721845084314,0.0016517229824140017,0.002158533692163461],[-0.017658902172821452,0.011874533175859545,0.008583050329174523,-0.000691069082492186,-0.026904806837871782,-0.0012161349408227082,0.010411657487918995,0.0010696016541028265,-0.0032058139813497984],[0.001795024197246605,-0.00030822931534685896,0.003021694656482594,-0.002491238391770765,0.004155183555637292,-0.0005758088735581425,0.0014498977649686094,0.0002976144106912907,-0.0007311769342469486],[-0.00017922068024897256,0.0002082799800761071,-0.0004223178248516547,0.00006264812882347294,0.0003742618627705285,0.000021550910242557064,-0.00041234985251812706,4.462228184667991e-6,0.00008755186194074133]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.05142420363768213,0.13408779306166288,-0.014585112188482434,-0.025277014507347685],[0.008579769948490792,-0.0020205243687120085,0.055713598968626446,0.005358653026417746,-0.1877032645869568,0.02161763387649019,0.016823340739279297,-0.0005697041992404169,0.0013386496589317645],[-0.021946139251456394,0.010525035963489117,-0.010973510536436267,0.004846454382298337,0.006392391210675337,-0.001001827224670683,-0.00881367272119291,-0.0003905740915903068,0.004639668821336205],[-0.0012260036115640663,0.001514459694812939,-0.0015925734948861539,0.00126428464788162,-0.0030837659364578757,0.00021812896017018148,-0.000045245968607160155,-0.00030189093162658217,0.0004912053321031828],[-0.00002627887390686161,0.0002923036012309624,-0.00021309026590607714,-0.000060163926294681895,0.0003376616871706307,-0.00010258351010233876,0.0003810932831591996,-0.000010550480558275396,-0.0002015504916270702]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.1199663301113969, -0.2543984488568366, 0.010516116476096833, 0.02541465425448345 ], [ -0.0007125789517074231, -0.0029494386499462886, 0.06550270794607066, -0.006479075731834844, 0.07873994453641875, -0.017836865928335235, -0.029172721845084314, 0.0016517229824140017, 0.002158533692163461 ], [ -0.017658902172821452, 0.011874533175859545, 0.008583050329174523, -0.000691069082492186, -0.026904806837871782, -0.0012161349408227082, 0.010411657487918995, 0.0010696016541028265, -0.0032058139813497984 ], [ 0.001795024197246605, -0.00030822931534685896, 0.003021694656482594, -0.002491238391770765, 0.004155183555637292, -0.0005758088735581425, 0.0014498977649686094, 0.0002976144106912907, -0.0007311769342469486 ], [ -0.00017922068024897256, 0.0002082799800761071, -0.0004223178248516547, 0.00006264812882347294, 0.0003742618627705285, 0.000021550910242557064, -0.00041234985251812706, 0.000004462228184667991, 0.00008755186194074133 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.05142420363768213, 0.13408779306166288, -0.014585112188482434, -0.025277014507347685 ], [ 0.008579769948490792, -0.0020205243687120085, 0.055713598968626446, 0.005358653026417746, -0.1877032645869568, 0.02161763387649019, 0.016823340739279297, -0.0005697041992404169, 0.0013386496589317645 ], [ -0.021946139251456394, 0.010525035963489117, -0.010973510536436267, 0.004846454382298337, 0.006392391210675337, -0.001001827224670683, -0.00881367272119291, -0.0003905740915903068, 0.004639668821336205 ], [ -0.0012260036115640663, 0.001514459694812939, -0.0015925734948861539, 0.00126428464788162, -0.0030837659364578757, 0.00021812896017018148, -0.000045245968607160155, -0.00030189093162658217, 0.0004912053321031828 ], [ -0.00002627887390686161, 0.0002923036012309624, -0.00021309026590607714, -0.000060163926294681895, 0.0003376616871706307, -0.00010258351010233876, 0.0003810932831591996, -0.000010550480558275396, -0.0002015504916270702 ] ]

Do8qBWSN5LYGa2ti8GoMYQQ

{"aspect_ratio": 10.401099412649165, "major_radius": 1.0, "max_elongation": 6.889918369877192, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2741840387491791, -0.13775668023930163, 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": [[0.6494039891910033, 0.6494040478343548, 0.6494060441756369, 0.6494201068368987, 0.6494724458788624, 0.6496116700771385, 0.6499130822317867, 0.6504808978805336, 0.6514484774370319, 0.6529767363521128, 0.6552509408660551, 0.6584761223220138, 0.6628713573527029, 0.6686631680047381, 0.6760782970631056, 0.6853361107610052, 0.6966408745542029, 0.7101741382865112, 0.7260874552869242, 0.7444956460178518, 0.7654708010563456, 0.7890372005962913, 0.8151673084251708, 0.843778977535118, 0.8747339822268136, 0.9078379677834867, 0.9428418835354351, 0.9794449383855501, 1.0172990895835001, 1.0560150456566384, 1.0951697328385148, 1.134315140958477, 1.172988429407405, 1.2107231362659125, 1.2470612937016852, 1.281566209959628, 1.3138356322201628, 1.343514954673591, 1.3703100815232352, 1.3939994941455855, 1.4144450036914058, 1.4316005926695172, 1.445518658003604, 1.4563528582015757, 1.4643566296124173, 1.469876255550732, 1.4733371177886005, 1.4752213711841269, 1.4760346129830135, 1.4762577409637916, 1.4762762504621967], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.19022305510638146}

10.401099

1

6.889918

[ [ 0.6494039891910033, 0.6494040478343548, 0.6494060441756369, 0.6494201068368987, 0.6494724458788624, 0.6496116700771385, 0.6499130822317867, 0.6504808978805336, 0.6514484774370319, 0.6529767363521128, 0.6552509408660551, 0.6584761223220138, 0.6628713573527029, 0.6686631680047381, 0.6760782970631056, 0.6853361107610052, 0.6966408745542029, 0.7101741382865112, 0.7260874552869242, 0.7444956460178518, 0.7654708010563456, 0.7890372005962913, 0.8151673084251708, 0.843778977535118, 0.8747339822268136, 0.9078379677834867, 0.9428418835354351, 0.9794449383855501, 1.0172990895835001, 1.0560150456566384, 1.0951697328385148, 1.134315140958477, 1.172988429407405, 1.2107231362659125, 1.2470612937016852, 1.281566209959628, 1.3138356322201628, 1.343514954673591, 1.3703100815232352, 1.3939994941455855, 1.4144450036914058, 1.4316005926695172, 1.445518658003604, 1.4563528582015757, 1.4643566296124173, 1.469876255550732, 1.4733371177886005, 1.4752213711841269, 1.4760346129830135, 1.4762577409637916, 1.4762762504621967 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2741840387491791, -0.13775668023930163, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.190223

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

DeUhNCbsJXqgqKzMiptxZVx

null

false

null

false

DEW2xMj4VPFuyatEP9weZ3X

DBHWbvEMrCa4suobe3mQJRC

{"qi": 0.004279757055895568, "vacuum_well": -0.013409874438641637, "aspect_ratio": 9.053065895659072, "max_elongation": 3.495232003679023, "average_triangularity": 0.22520004959308704, "axis_magnetic_mirror_ratio": 0.36205576136236345, "edge_magnetic_mirror_ratio": 0.42629137880449364, "aspect_ratio_over_edge_rotational_transform": 33.32005514847456, "flux_compression_in_regions_of_bad_curvature": 0.618054858356039, "axis_rotational_transform_over_n_field_periods": 0.29370749667417595, "edge_rotational_transform_over_n_field_periods": 0.2717002074371877, "minimum_normalized_magnetic_gradient_scale_length": 4.919492848578708}

9.053066

33.320055

0.121537

0.362056

0.293707

0.426291

0.2717

0.618055

3.495232

4.919493

0.00428

-0.01341

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.010807911356038532,-0.19791412401762493,0.0031560706519764992,0.012133281678933266],[0.0045359091986254384,-0.0049466784144381395,0.04364198050444465,-0.01984253012802267,0.11142626897338932,-0.021156288665144043,0.002728075882634559,-0.0022449197921709063,-0.0009999466406320034],[-0.0027941919167735413,-0.002593518402314254,-0.004040737327543678,0.0017689484580481378,0.0012537914503571853,0.0010416695085951736,0.0009390696809775682,0.00018510393175453057,-0.00020205914839290374],[-0.0003696898133133675,0.0016269081058129945,0.002275334782379789,-0.002244552970316419,-0.0034287009997571887,0.000481896462102954,0.0008778863966857342,-0.0002323913395512789,0.0002087930338156219],[-0.00005362627388707664,-0.00044394029832935827,0.0005200197599761648,0.0007695426838665185,0.0007935236728887604,-0.0005544797054597963,-0.00007131287710992549,-3.4052310164242507e-6,0.000012123279502404449]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.018927164096529923,0.015846006635149477,0.009237583347041781,-0.0022668397590739405],[0.0014912532075254527,-0.005892199232572571,0.0522782276408019,0.004305445666541224,-0.12993557236232062,0.004596612726946478,0.008070520747296521,0.0018109820157062762,0.00045388065485202497],[-0.001399786858567179,-0.0021520702338800593,-0.0010743464038808167,0.007875170491543591,0.015521906856200416,-0.005451308860670554,-0.003840934110905745,0.000576634052197905,0.0005186122738696408],[-0.00008937862113680955,0.001628662309986196,-0.0009451217800552065,-0.003955908820278816,0.0019711170993574464,0.0020105228461189993,-0.0009813971535230833,0.00020348066496407764,-0.00017246163862879465],[-0.0000311282524911633,-0.00015513459805146157,0.0004749592279790549,0.0003011989700103929,-0.0005995937566922564,-0.0003708428855562923,0.00037134150908841587,0.00004712625554946968,-0.00006100033802148865]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.010807911356038532, -0.19791412401762493, 0.0031560706519764992, 0.012133281678933266 ], [ 0.0045359091986254384, -0.0049466784144381395, 0.04364198050444465, -0.01984253012802267, 0.11142626897338932, -0.021156288665144043, 0.002728075882634559, -0.0022449197921709063, -0.0009999466406320034 ], [ -0.0027941919167735413, -0.002593518402314254, -0.004040737327543678, 0.0017689484580481378, 0.0012537914503571853, 0.0010416695085951736, 0.0009390696809775682, 0.00018510393175453057, -0.00020205914839290374 ], [ -0.0003696898133133675, 0.0016269081058129945, 0.002275334782379789, -0.002244552970316419, -0.0034287009997571887, 0.000481896462102954, 0.0008778863966857342, -0.0002323913395512789, 0.0002087930338156219 ], [ -0.00005362627388707664, -0.00044394029832935827, 0.0005200197599761648, 0.0007695426838665185, 0.0007935236728887604, -0.0005544797054597963, -0.00007131287710992549, -0.0000034052310164242507, 0.000012123279502404449 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.018927164096529923, 0.015846006635149477, 0.009237583347041781, -0.0022668397590739405 ], [ 0.0014912532075254527, -0.005892199232572571, 0.0522782276408019, 0.004305445666541224, -0.12993557236232062, 0.004596612726946478, 0.008070520747296521, 0.0018109820157062762, 0.00045388065485202497 ], [ -0.001399786858567179, -0.0021520702338800593, -0.0010743464038808167, 0.007875170491543591, 0.015521906856200416, -0.005451308860670554, -0.003840934110905745, 0.000576634052197905, 0.0005186122738696408 ], [ -0.00008937862113680955, 0.001628662309986196, -0.0009451217800552065, -0.003955908820278816, 0.0019711170993574464, 0.0020105228461189993, -0.0009813971535230833, 0.00020348066496407764, -0.00017246163862879465 ], [ -0.0000311282524911633, -0.00015513459805146157, 0.0004749592279790549, 0.0003011989700103929, -0.0005995937566922564, -0.0003708428855562923, 0.00037134150908841587, 0.00004712625554946968, -0.00006100033802148865 ] ]

DBpV4WWPXtLmcm27hBqMX84

{"aspect_ratio": 10.321695034798712, "major_radius": 1.0, "max_elongation": 6.7009127259615475, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2833101637337358, 0.005277176873679465, 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": [[0.6260228013335976, 0.6260230077035372, 0.6260296546045476, 0.626074306702723, 0.6262333227332295, 0.6266387631950103, 0.6274808355447679, 0.6290032313180526, 0.6314929419146837, 0.6352661426847693, 0.6406516381233696, 0.6479732145488228, 0.6575320751905042, 0.6695903500070848, 0.6843564873687887, 0.7019731526263583, 0.7225080834708503, 0.7459481866616585, 0.7721970072112745, 0.8010755609769811, 0.8323263959417141, 0.865620637088035, 0.900567675262308, 0.9367270821783338, 0.9736222719450212, 1.0107553843031745, 1.0476228360771491, 1.0837309750259019, 1.118611274041609, 1.151834523111218, 1.1830235111368843, 1.2118637390035119, 1.2381117684657261, 1.2616008876551157, 1.2822438622926235, 1.3000326408815426, 1.3150349909189143, 1.3273881599425943, 1.3372897782061337, 1.3449863467908567, 1.3507597834481593, 1.3549126252850505, 1.3577526086821188, 1.359577457633018, 1.3606608055460343, 1.361240243609456, 1.3615085183707483, 1.361608872613991, 1.3616354037883642, 1.3616390389094757, 1.3616391379246076], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2670251582161467}

10.321695

1

6.700913

[ [ 0.6260228013335976, 0.6260230077035372, 0.6260296546045476, 0.626074306702723, 0.6262333227332295, 0.6266387631950103, 0.6274808355447679, 0.6290032313180526, 0.6314929419146837, 0.6352661426847693, 0.6406516381233696, 0.6479732145488228, 0.6575320751905042, 0.6695903500070848, 0.6843564873687887, 0.7019731526263583, 0.7225080834708503, 0.7459481866616585, 0.7721970072112745, 0.8010755609769811, 0.8323263959417141, 0.865620637088035, 0.900567675262308, 0.9367270821783338, 0.9736222719450212, 1.0107553843031745, 1.0476228360771491, 1.0837309750259019, 1.118611274041609, 1.151834523111218, 1.1830235111368843, 1.2118637390035119, 1.2381117684657261, 1.2616008876551157, 1.2822438622926235, 1.3000326408815426, 1.3150349909189143, 1.3273881599425943, 1.3372897782061337, 1.3449863467908567, 1.3507597834481593, 1.3549126252850505, 1.3577526086821188, 1.359577457633018, 1.3606608055460343, 1.361240243609456, 1.3615085183707483, 1.361608872613991, 1.3616354037883642, 1.3616390389094757, 1.3616391379246076 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2833101637337358, 0.005277176873679465, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.267025

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

DAZcFEQG3XAJFNez44R98nV

null

false

null

false

DoUkTAAoNtfePMxJ8FKMKEH

DEr3faLeG5pLyXoRgGrZ3uW

{"qi": 0.05407022726435622, "vacuum_well": 0.006642576810142646, "aspect_ratio": 8.132743889014577, "max_elongation": 5.247172819178927, "average_triangularity": -0.6082497125553616, "axis_magnetic_mirror_ratio": 0.5815090290168322, "edge_magnetic_mirror_ratio": 0.9497988260015786, "aspect_ratio_over_edge_rotational_transform": 9.257455827470437, "flux_compression_in_regions_of_bad_curvature": 1.2646358658496908, "axis_rotational_transform_over_n_field_periods": 0.27192874451342164, "edge_rotational_transform_over_n_field_periods": 0.21962686186634542, "minimum_normalized_magnetic_gradient_scale_length": 1.8464007304445973}

8.132744

9.257456

-0.687814

0.581509

0.271929

0.949799

0.219627

1.264636

5.247173

1.846401

0.05407

0.006643

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.20265828060518287,-0.05349816710567306,-0.00938769300860296,0.003425896673494967],[-0.003033496433488325,0.008987406529231474,0.04844692212872182,-0.0034719678806166294,0.12039068772435395,-0.009693309410990144,-0.000818040561931653,-0.0004617287487530585,-0.00028095248887500027],[0.0020117271147329532,-0.005292438906424743,-0.015388236938231494,0.014255784973872705,-0.01018167717087344,0.004728111040869109,-0.007999491799553627,0.0003005091241840554,0.00040096791168248017],[-0.0009569730466601953,0.002882453388708681,0.0028437824970272063,-0.002957222373043567,0.004058042935571318,-0.0028968902535287137,0.0007428233903738312,4.121534926757563e-6,-0.00004192122268323285],[-0.00014713359994436104,-0.0007455378240844159,0.0008976136884686344,-0.00016092749304911792,-0.0008679232782097682,0.0008793194325569251,-0.0004156162119596992,0.00010068603258997619,-8.94056752734732e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.0837296185627763,0.0382864721398177,0.0022581262163551973,0.000022848664818487383],[-0.000021791750580456005,0.008305659944720106,0.03894946966990054,0.048631215930982685,-0.14332887039402611,-0.015861088753769025,-0.0012971923818523926,0.0011168443143421553,-0.00039756862326388554],[0.001675115363428043,-0.006496045476694929,-0.011606332285558648,0.01916618976992011,-0.03277018475011283,-0.005485683046969016,0.009815174958160528,0.0002358082495222888,-0.00030039977557724253],[-0.002700970091773651,0.004177378990880146,-0.0073774648100747055,-0.0033685020927502578,-0.004359623596786959,-0.0005098179807106762,0.0006282768141157549,0.00018805856471212435,-0.00019731742500922857],[-0.00021290193403123488,3.4946701172799483e-6,-0.0005578121495090319,-0.0012858978077639753,-0.00016681240532303137,-0.00043215744516167604,0.00011314157327783596,0.00004289640589273831,-0.00006513214297099687]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.20265828060518287, -0.05349816710567306, -0.00938769300860296, 0.003425896673494967 ], [ -0.003033496433488325, 0.008987406529231474, 0.04844692212872182, -0.0034719678806166294, 0.12039068772435395, -0.009693309410990144, -0.000818040561931653, -0.0004617287487530585, -0.00028095248887500027 ], [ 0.0020117271147329532, -0.005292438906424743, -0.015388236938231494, 0.014255784973872705, -0.01018167717087344, 0.004728111040869109, -0.007999491799553627, 0.0003005091241840554, 0.00040096791168248017 ], [ -0.0009569730466601953, 0.002882453388708681, 0.0028437824970272063, -0.002957222373043567, 0.004058042935571318, -0.0028968902535287137, 0.0007428233903738312, 0.000004121534926757563, -0.00004192122268323285 ], [ -0.00014713359994436104, -0.0007455378240844159, 0.0008976136884686344, -0.00016092749304911792, -0.0008679232782097682, 0.0008793194325569251, -0.0004156162119596992, 0.00010068603258997619, -0.00000894056752734732 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.0837296185627763, 0.0382864721398177, 0.0022581262163551973, 0.000022848664818487383 ], [ -0.000021791750580456005, 0.008305659944720106, 0.03894946966990054, 0.048631215930982685, -0.14332887039402611, -0.015861088753769025, -0.0012971923818523926, 0.0011168443143421553, -0.00039756862326388554 ], [ 0.001675115363428043, -0.006496045476694929, -0.011606332285558648, 0.01916618976992011, -0.03277018475011283, -0.005485683046969016, 0.009815174958160528, 0.0002358082495222888, -0.00030039977557724253 ], [ -0.002700970091773651, 0.004177378990880146, -0.0073774648100747055, -0.0033685020927502578, -0.004359623596786959, -0.0005098179807106762, 0.0006282768141157549, 0.00018805856471212435, -0.00019731742500922857 ], [ -0.00021290193403123488, 0.0000034946701172799483, -0.0005578121495090319, -0.0012858978077639753, -0.00016681240532303137, -0.00043215744516167604, 0.00011314157327783596, 0.00004289640589273831, -0.00006513214297099687 ] ]

DShHMFeQYavYRptwuePuVZ7

{"aspect_ratio": 7.72721310502177, "major_radius": 1.0, "max_elongation": 4.726184290216025, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07300994793828254, -0.17582018405162234, 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": [[0.810110217578162, 0.8101156898626757, 0.8101848983477858, 0.8104452909451185, 0.811063090099044, 0.8122199461077899, 0.814095894436631, 0.8168567580197886, 0.8206450322463688, 0.8255736097895456, 0.8317218598688194, 0.8391336692003324, 0.8478171133513577, 0.8577454716745785, 0.8688593333334885, 0.881069569815204, 0.8942609728754274, 0.908296377364018, 0.923021106667271, 0.938267595128267, 0.9538600571524547, 0.9696190870448622, 0.985366087157527, 1.000927434800244, 1.016138310698599, 1.0308461236592943, 1.0449134775941857, 1.0582206382178585, 1.070667467615046, 1.082174805512104, 1.0926852865132304, 1.10216359280476, 1.110596151913552, 1.1179902990494308, 1.124372933385997, 1.1297887073566586, 1.134297797680363, 1.1379733164009942, 1.1408984297428406, 1.1431632620703671, 1.1448616717143842, 1.1460879949131144, 1.1469338636461872, 1.147485212752667, 1.1478196014773443, 1.1480039845668704, 1.148093078373273, 1.1481284783503916, 1.1481386963006317, 1.148140299765975, 1.1481403550571176], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.9954754949383608}

7.727213

1

4.726184

[ [ 0.810110217578162, 0.8101156898626757, 0.8101848983477858, 0.8104452909451185, 0.811063090099044, 0.8122199461077899, 0.814095894436631, 0.8168567580197886, 0.8206450322463688, 0.8255736097895456, 0.8317218598688194, 0.8391336692003324, 0.8478171133513577, 0.8577454716745785, 0.8688593333334885, 0.881069569815204, 0.8942609728754274, 0.908296377364018, 0.923021106667271, 0.938267595128267, 0.9538600571524547, 0.9696190870448622, 0.985366087157527, 1.000927434800244, 1.016138310698599, 1.0308461236592943, 1.0449134775941857, 1.0582206382178585, 1.070667467615046, 1.082174805512104, 1.0926852865132304, 1.10216359280476, 1.110596151913552, 1.1179902990494308, 1.124372933385997, 1.1297887073566586, 1.134297797680363, 1.1379733164009942, 1.1408984297428406, 1.1431632620703671, 1.1448616717143842, 1.1460879949131144, 1.1469338636461872, 1.147485212752667, 1.1478196014773443, 1.1480039845668704, 1.148093078373273, 1.1481284783503916, 1.1481386963006317, 1.148140299765975, 1.1481403550571176 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.07300994793828254, -0.17582018405162234, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.995475

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

D6gHE4bVeYwhabqMWeQUb2S

null

false

null

false

DgxKWi4UhSS7YXZJu2b2G4X

D55753xNvx9Wfx4oAsfEZWT

{"qi": 0.0221555873888626, "vacuum_well": -0.01731476831012472, "aspect_ratio": 9.12001495119276, "max_elongation": 4.788386638867983, "average_triangularity": 0.44495178193319207, "axis_magnetic_mirror_ratio": 0.09497711379477657, "edge_magnetic_mirror_ratio": 0.20005362330727963, "aspect_ratio_over_edge_rotational_transform": 8.635868585880196, "flux_compression_in_regions_of_bad_curvature": 1.3843121132080554, "axis_rotational_transform_over_n_field_periods": 0.28599830842131324, "edge_rotational_transform_over_n_field_periods": 0.2640155666016083, "minimum_normalized_magnetic_gradient_scale_length": 7.66758067140645}

9.120015

8.635869

0.474103

0.094977

0.285998

0.200054

0.264016

1.384312

4.788387

7.667581

0.022156

-0.017315

{"r_cos":[[0.0,0.0,0.0,0.0,1.000144718259979,-0.009699421465884617,-0.01601812286178138,0.001349267883857027,-0.0008437733582767398],[0.00028445175814471494,-0.00222461534269955,-0.011169813419971275,-0.05351117151178427,0.15843582670298584,-0.02522642197641322,-0.0019232760913459514,0.0010729360752732655,-0.0004072438543224702],[0.0004798195166950816,0.00042459488103805136,0.01458475426061433,0.02586172978405353,-0.029777097832161165,0.0010671541570268176,0.00021284565252557928,0.00041062898862193,7.015739544399108e-6],[0.0004939548404159452,-0.0004392561130441502,-0.0024253163289605275,-0.0032238251385966117,-0.0011928978421018727,0.0018426593261107456,-0.00036473418229230475,0.00038158724981635165,-0.00014756997359248138],[-0.000069263368144189,-0.00015188875413474487,0.00018701854602440636,-0.0002085029013062286,0.0005877489843994567,-0.0002478271431230056,0.00006846262013521015,-0.00006486544139167006,0.000012863182911163455]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14134715025106936,0.023619311603546782,-0.0027407568313417147,0.00023093150370902954],[-0.00007843812881091778,-0.0013570440974759296,-0.024752102058427587,-0.0788529948172071,-0.0909003874463336,0.026806079168857508,0.0017425560363907352,-0.0005764597707379091,0.00004941438888761416],[0.00017474539958227384,-0.001134727827771978,0.001706965307804438,-0.00018806589111601573,0.012531557307784684,-0.0000152430324389158,-0.0003491510755345131,-0.0006743137600977216,0.00008239793629515683],[-0.00016994624459991007,-0.001796446293075312,-0.005070743666150408,0.007412583100262774,0.003109015930371892,-0.0015807487375403286,-0.000016242379928570454,-0.00041789605103986457,0.00016854059835875573],[-0.00003515354191548168,0.0003130567393486343,0.0008554315189596701,-0.0010948288731982623,-0.000024820242371639736,-0.00040637640963447354,0.00018828937010803625,-9.876477716927592e-6,-3.731445728793991e-7]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1.000144718259979, -0.009699421465884617, -0.01601812286178138, 0.001349267883857027, -0.0008437733582767398 ], [ 0.00028445175814471494, -0.00222461534269955, -0.011169813419971275, -0.05351117151178427, 0.15843582670298584, -0.02522642197641322, -0.0019232760913459514, 0.0010729360752732655, -0.0004072438543224702 ], [ 0.0004798195166950816, 0.00042459488103805136, 0.01458475426061433, 0.02586172978405353, -0.029777097832161165, 0.0010671541570268176, 0.00021284565252557928, 0.00041062898862193, 0.000007015739544399108 ], [ 0.0004939548404159452, -0.0004392561130441502, -0.0024253163289605275, -0.0032238251385966117, -0.0011928978421018727, 0.0018426593261107456, -0.00036473418229230475, 0.00038158724981635165, -0.00014756997359248138 ], [ -0.000069263368144189, -0.00015188875413474487, 0.00018701854602440636, -0.0002085029013062286, 0.0005877489843994567, -0.0002478271431230056, 0.00006846262013521015, -0.00006486544139167006, 0.000012863182911163455 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14134715025106936, 0.023619311603546782, -0.0027407568313417147, 0.00023093150370902954 ], [ -0.00007843812881091778, -0.0013570440974759296, -0.024752102058427587, -0.0788529948172071, -0.0909003874463336, 0.026806079168857508, 0.0017425560363907352, -0.0005764597707379091, 0.00004941438888761416 ], [ 0.00017474539958227384, -0.001134727827771978, 0.001706965307804438, -0.00018806589111601573, 0.012531557307784684, -0.0000152430324389158, -0.0003491510755345131, -0.0006743137600977216, 0.00008239793629515683 ], [ -0.00016994624459991007, -0.001796446293075312, -0.005070743666150408, 0.007412583100262774, 0.003109015930371892, -0.0015807487375403286, -0.000016242379928570454, -0.00041789605103986457, 0.00016854059835875573 ], [ -0.00003515354191548168, 0.0003130567393486343, 0.0008554315189596701, -0.0010948288731982623, -0.000024820242371639736, -0.00040637640963447354, 0.00018828937010803625, -0.000009876477716927592, -3.731445728793991e-7 ] ]

DZjVUdnYurcvAxBMGEc7Ju8

{"aspect_ratio": 8.547696911413789, "major_radius": 1.0, "max_elongation": 4.002305371709866, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.06867512245156696, 0.19661971234298392, 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": [[0.8887110410065251, 0.8887122027337616, 0.8887318960274465, 0.8888204067248477, 0.8890573448832457, 0.8895423395917612, 0.8903851786830675, 0.8916966447385348, 0.8935805746560453, 0.896127367120403, 0.8994090028893117, 0.9034755493048441, 0.9083530626264064, 0.9140427654945316, 0.920521354567741, 0.9277422807677841, 0.9356378389049127, 0.9441219029418446, 0.9530931465524333, 0.962438595045264, 0.9720373634866606, 0.9817644464585608, 0.9914944369178486, 1.0011050647546187, 1.0104804596023813, 1.0195140569990733, 1.028111081929881, 1.036190558919886, 1.0436868130216812, 1.0505504411078255, 1.056748747686014, 1.062265653867104, 1.0671011019958234, 1.0712699916638062, 1.07480069522401, 1.0777332123677665, 1.0801170336541386, 1.0820087919254235, 1.0834697881129114, 1.0845634838173392, 1.0853530569871082, 1.085899118712672, 1.0862576882361672, 1.0864785192685402, 1.0866038629877495, 1.0866677407989098, 1.0866957818145688, 1.0867056541017845, 1.0867080816977488, 1.0867083847160028, 1.0867083919052813], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1026334114806198}

8.547697

1

4.002305

[ [ 0.8887110410065251, 0.8887122027337616, 0.8887318960274465, 0.8888204067248477, 0.8890573448832457, 0.8895423395917612, 0.8903851786830675, 0.8916966447385348, 0.8935805746560453, 0.896127367120403, 0.8994090028893117, 0.9034755493048441, 0.9083530626264064, 0.9140427654945316, 0.920521354567741, 0.9277422807677841, 0.9356378389049127, 0.9441219029418446, 0.9530931465524333, 0.962438595045264, 0.9720373634866606, 0.9817644464585608, 0.9914944369178486, 1.0011050647546187, 1.0104804596023813, 1.0195140569990733, 1.028111081929881, 1.036190558919886, 1.0436868130216812, 1.0505504411078255, 1.056748747686014, 1.062265653867104, 1.0671011019958234, 1.0712699916638062, 1.07480069522401, 1.0777332123677665, 1.0801170336541386, 1.0820087919254235, 1.0834697881129114, 1.0845634838173392, 1.0853530569871082, 1.085899118712672, 1.0862576882361672, 1.0864785192685402, 1.0866038629877495, 1.0866677407989098, 1.0866957818145688, 1.0867056541017845, 1.0867080816977488, 1.0867083847160028, 1.0867083919052813 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.06867512245156696, 0.19661971234298392, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.102633

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

DGHwy4D8PNEC7yu25FxC94B

null

false

null

false

DPzYJCbEvFqvD3p7cNqrP8p

DcGbcZTHwxsshPLZ78gk3G5

{"qi": 0.007668247006662056, "vacuum_well": -0.01587160442650596, "aspect_ratio": 7.838865836102427, "max_elongation": 6.7515645171864795, "average_triangularity": 0.3222406155978655, "axis_magnetic_mirror_ratio": 0.13841788915445422, "edge_magnetic_mirror_ratio": 0.27177879164602975, "aspect_ratio_over_edge_rotational_transform": 15.25790791775528, "flux_compression_in_regions_of_bad_curvature": 2.072033009727776, "axis_rotational_transform_over_n_field_periods": 0.16424964222385058, "edge_rotational_transform_over_n_field_periods": 0.12843939481015804, "minimum_normalized_magnetic_gradient_scale_length": 4.168686098116953}

7.838866

15.257908

0.325828

0.138418

0.16425

0.271779

0.128439

2.072033

6.751565

4.168686

0.007668

-0.015872

{"r_cos":[[0.0,0.0,0.0,0.0,0.9984154713868181,-0.005604814742070776,-0.01687268219642458,0.0006058377133104091,5.020131023661649e-6],[-0.002150231761691322,-0.002909296231419577,-0.004393986407389692,-0.05015068686881549,0.20606093769464964,-0.023209747478537823,-0.009161054518245029,-0.004079352341205362,0.0009820887331712315],[0.0006784019572851972,0.001575242548897681,0.004958253087922668,0.02123056949301537,-0.03269768306000548,-0.009974205061310203,0.005762661035335952,-0.0009205135380839346,9.980440429222643e-6],[0.00016569498114200955,0.0003172807997541402,-1.5359211598776424e-6,-0.0015401893670856889,-0.002329844407830182,0.001957532880457778,0.0017812118575773602,-0.0003853071160404695,0.000035441563483057674],[4.715638072825538e-6,-0.0003132077886215381,-0.00032085549002198023,-0.00041149721172701985,0.00035581548017068684,0.00007133789361896996,-9.631353636493288e-6,0.00005466068832282476,-0.00009894972216720785]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.35843043771463684,0.019971748608514944,-0.007415410477312494,0.00024270573446931278],[-0.003927141269029386,-0.00726600296340291,-0.03659110157893625,-0.05563788371298818,-0.07770484927323527,0.031163573667731398,0.009056106766058242,0.004740818028908888,0.00015398515901379013],[0.0005918460397523684,0.000044758073013918636,0.009031509277294285,-0.005193160661686324,0.013974932507281823,0.0005880014470494915,-0.002120755643316729,-0.0005912884228141708,-0.0005373174450761569],[0.0001838274427291494,0.0009080242056756063,-0.001452462741615361,0.00708385993792667,0.0018734168095865557,-0.002073747278016231,-0.001984754481277193,0.00024819040366103084,0.00017101701572994616],[-0.000027076956270433725,-0.000017817560316243777,0.00024955319359821945,-0.0006054752516418927,-0.0001117110027601455,-0.0007162428343907778,0.00025023698767736533,0.00011189422580738087,0.000014501036059692005]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9984154713868181, -0.005604814742070776, -0.01687268219642458, 0.0006058377133104091, 0.000005020131023661649 ], [ -0.002150231761691322, -0.002909296231419577, -0.004393986407389692, -0.05015068686881549, 0.20606093769464964, -0.023209747478537823, -0.009161054518245029, -0.004079352341205362, 0.0009820887331712315 ], [ 0.0006784019572851972, 0.001575242548897681, 0.004958253087922668, 0.02123056949301537, -0.03269768306000548, -0.009974205061310203, 0.005762661035335952, -0.0009205135380839346, 0.000009980440429222643 ], [ 0.00016569498114200955, 0.0003172807997541402, -0.0000015359211598776424, -0.0015401893670856889, -0.002329844407830182, 0.001957532880457778, 0.0017812118575773602, -0.0003853071160404695, 0.000035441563483057674 ], [ 0.000004715638072825538, -0.0003132077886215381, -0.00032085549002198023, -0.00041149721172701985, 0.00035581548017068684, 0.00007133789361896996, -0.000009631353636493288, 0.00005466068832282476, -0.00009894972216720785 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.35843043771463684, 0.019971748608514944, -0.007415410477312494, 0.00024270573446931278 ], [ -0.003927141269029386, -0.00726600296340291, -0.03659110157893625, -0.05563788371298818, -0.07770484927323527, 0.031163573667731398, 0.009056106766058242, 0.004740818028908888, 0.00015398515901379013 ], [ 0.0005918460397523684, 0.000044758073013918636, 0.009031509277294285, -0.005193160661686324, 0.013974932507281823, 0.0005880014470494915, -0.002120755643316729, -0.0005912884228141708, -0.0005373174450761569 ], [ 0.0001838274427291494, 0.0009080242056756063, -0.001452462741615361, 0.00708385993792667, 0.0018734168095865557, -0.002073747278016231, -0.001984754481277193, 0.00024819040366103084, 0.00017101701572994616 ], [ -0.000027076956270433725, -0.000017817560316243777, 0.00024955319359821945, -0.0006054752516418927, -0.0001117110027601455, -0.0007162428343907778, 0.00025023698767736533, 0.00011189422580738087, 0.000014501036059692005 ] ]

DFNGivGKzaM2EUcL23AXLcu

{"aspect_ratio": 7.343735756005131, "major_radius": 1.0, "max_elongation": 4.466301670508227, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07266569998734429, 0.014882615672013039, 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": [[0.866635116621038, 0.8666372574397088, 0.8666615527666933, 0.8667485771592697, 0.866950941916672, 0.8673283912584532, 0.8679443988545945, 0.868863541742342, 0.8701493815417353, 0.8718627174008965, 0.8740601315740534, 0.8767927768327194, 0.8801053708074807, 0.884035372046195, 0.8886123188533254, 0.8938573162459111, 0.8997826593825089, 0.906391584028729, 0.9136781362808637, 0.9216271550443146, 0.9302143617651756, 0.9394065527150718, 0.9491618897822759, 0.9594302862625864, 0.9701538845979152, 0.9812676233987291, 0.992699891423463, 1.0043732664855793, 1.0162053375266011, 1.0281096083392196, 1.039996481655507, 1.0517743225379321, 1.0633506002318978, 1.0746331078649, 1.0855312596174203, 1.0959574652542816, 1.1058285822056837, 1.1150674457423784, 1.123604478225247, 1.131379378963874, 1.138342896950187, 1.1444586897354783, 1.1497052731483595, 1.1540780686812149, 1.1575915587116037, 1.1602815652847105, 1.1622076781656756, 1.1634558776640884, 1.1641414428644832, 1.1644123641931257, 1.1644540622078337], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5930347613516241}

7.343736

1

4.466302

[ [ 0.866635116621038, 0.8666372574397088, 0.8666615527666933, 0.8667485771592697, 0.866950941916672, 0.8673283912584532, 0.8679443988545945, 0.868863541742342, 0.8701493815417353, 0.8718627174008965, 0.8740601315740534, 0.8767927768327194, 0.8801053708074807, 0.884035372046195, 0.8886123188533254, 0.8938573162459111, 0.8997826593825089, 0.906391584028729, 0.9136781362808637, 0.9216271550443146, 0.9302143617651756, 0.9394065527150718, 0.9491618897822759, 0.9594302862625864, 0.9701538845979152, 0.9812676233987291, 0.992699891423463, 1.0043732664855793, 1.0162053375266011, 1.0281096083392196, 1.039996481655507, 1.0517743225379321, 1.0633506002318978, 1.0746331078649, 1.0855312596174203, 1.0959574652542816, 1.1058285822056837, 1.1150674457423784, 1.123604478225247, 1.131379378963874, 1.138342896950187, 1.1444586897354783, 1.1497052731483595, 1.1540780686812149, 1.1575915587116037, 1.1602815652847105, 1.1622076781656756, 1.1634558776640884, 1.1641414428644832, 1.1644123641931257, 1.1644540622078337 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.07266569998734429, 0.014882615672013039, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.593035

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

DdJR4b3XqcoWZoWY9bhKFDg

null

false

null

false

DWGw7q4B7H3RbNLkVDKCCnT

DawWvdJaBV7kkR9Mjo3iR25

{"qi": 0.049978286870314574, "vacuum_well": -0.1483256671175317, "aspect_ratio": 7.502638264086615, "max_elongation": 3.6280434147420415, "average_triangularity": -0.06378255701306518, "axis_magnetic_mirror_ratio": 0.4780947113489691, "edge_magnetic_mirror_ratio": 0.8959511976574839, "aspect_ratio_over_edge_rotational_transform": 12.069604230380603, "flux_compression_in_regions_of_bad_curvature": 1.1736837358182794, "axis_rotational_transform_over_n_field_periods": 0.17745409181838512, "edge_rotational_transform_over_n_field_periods": 0.15540356835399785, "minimum_normalized_magnetic_gradient_scale_length": 2.8586422786156236}

7.502638

12.069604

-0.278412

0.478095

0.177454

0.895951

0.155404

1.173684

3.628043

2.858642

0.049978

-0.148326

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.30670960555866644,-0.005555887641034221,-0.01813475409906364,-0.002049908406694491],[-0.0002701821402674716,0.014055895285117678,0.031730900156810286,-0.067744657318905,0.12698565944506895,-0.015211553501159387,-0.012216619590381237,-0.0008885309076660597,0.0003105690244452728],[0.001116866131547625,-0.0036712708530057085,-0.014525970681277211,0.004456276847918179,0.0016201062571344124,-0.0027212423869952813,-0.0020256339885969844,-0.0012946862639145913,-0.0005796162483362548],[-0.00022303185041545968,-0.0001675455852783577,0.0011524171553781509,0.0007644519656262855,0.002024018120441678,-0.001383629387059637,-0.0009804482248916941,-0.00042840655390788846,0.0001674228769546032],[0.00020131581031588018,-8.816929082778303e-6,0.000533776241265708,-0.0008858375209066234,0.0005103434543782527,-0.00004173020482297176,-0.0004006806678456113,-0.00004900840858025645,-0.000026331021133624082]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.021426505751414044,0.011417454381634,0.006405321657982617,0.0006968997380091356],[0.000854043994095824,0.013345809022221686,0.01598297371307732,-0.007306880025006241,-0.13343609231907183,-0.016496217040272963,0.00316052959069888,0.0020586573139665396,-0.0006483463593860398],[0.0019094177829372468,-0.009209426652666136,-0.003965720795104805,0.00055527482588167,-0.013002991505012357,-0.008471332150716977,0.004906943001845275,0.0015886807993128376,0.0006805175567966286],[-0.0017626062797752287,0.0035625743081971447,-0.002200591901485625,0.002843700131281794,-0.0014037548265660353,-0.00036173550922575614,0.00008825042566168364,0.0003533419110277184,-0.00008288000291207338],[0.00041045309432018455,-0.0007022138310405273,0.0004422380241389584,-0.0008459528751619235,0.0005612650757848923,-0.00017358559037981228,-0.00017127270726003448,0.00005451194261353934,-0.000019987193587351184]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.30670960555866644, -0.005555887641034221, -0.01813475409906364, -0.002049908406694491 ], [ -0.0002701821402674716, 0.014055895285117678, 0.031730900156810286, -0.067744657318905, 0.12698565944506895, -0.015211553501159387, -0.012216619590381237, -0.0008885309076660597, 0.0003105690244452728 ], [ 0.001116866131547625, -0.0036712708530057085, -0.014525970681277211, 0.004456276847918179, 0.0016201062571344124, -0.0027212423869952813, -0.0020256339885969844, -0.0012946862639145913, -0.0005796162483362548 ], [ -0.00022303185041545968, -0.0001675455852783577, 0.0011524171553781509, 0.0007644519656262855, 0.002024018120441678, -0.001383629387059637, -0.0009804482248916941, -0.00042840655390788846, 0.0001674228769546032 ], [ 0.00020131581031588018, -0.000008816929082778303, 0.000533776241265708, -0.0008858375209066234, 0.0005103434543782527, -0.00004173020482297176, -0.0004006806678456113, -0.00004900840858025645, -0.000026331021133624082 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.021426505751414044, 0.011417454381634, 0.006405321657982617, 0.0006968997380091356 ], [ 0.000854043994095824, 0.013345809022221686, 0.01598297371307732, -0.007306880025006241, -0.13343609231907183, -0.016496217040272963, 0.00316052959069888, 0.0020586573139665396, -0.0006483463593860398 ], [ 0.0019094177829372468, -0.009209426652666136, -0.003965720795104805, 0.00055527482588167, -0.013002991505012357, -0.008471332150716977, 0.004906943001845275, 0.0015886807993128376, 0.0006805175567966286 ], [ -0.0017626062797752287, 0.0035625743081971447, -0.002200591901485625, 0.002843700131281794, -0.0014037548265660353, -0.00036173550922575614, 0.00008825042566168364, 0.0003533419110277184, -0.00008288000291207338 ], [ 0.00041045309432018455, -0.0007022138310405273, 0.0004422380241389584, -0.0008459528751619235, 0.0005612650757848923, -0.00017358559037981228, -0.00017127270726003448, 0.00005451194261353934, -0.000019987193587351184 ] ]

DmLigUjbJcFooHqGwFJMG9Q

{"aspect_ratio": 6.860506195711154, "major_radius": 1.0, "max_elongation": 4.376910548847269, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2006295860747483, 0.07868334508373998, 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": [[0.8450468512386956, 0.845061681449476, 0.8451977509430999, 0.8456187494422355, 0.8464927479346678, 0.8479740891413442, 0.8501944662767956, 0.8532583411525934, 0.8572409432204128, 0.8621879636333454, 0.8681164187130187, 0.8750163374450726, 0.8828530296873908, 0.891569754939701, 0.9010906533484968, 0.911323829842007, 0.9221645036193893, 0.933498151369565, 0.9452035852144322, 0.9571559165025263, 0.9692293649098283, 0.9812998793017512, 0.9932475428015034, 1.004958739729969, 1.0163280667037358, 1.027259974330882, 1.0376701297285056, 1.0474864935802626, 1.0566501087195885, 1.0651156003169984, 1.0728513907123018, 1.0798396348037718, 1.086075884721981, 1.0915684953102602, 1.0963377847406335, 1.1004149674495491, 1.1038408795213446, 1.1066645197249791, 1.1089414326765978, 1.1107319641266806, 1.1120994222472405, 1.113108183145663, 1.1138217838321811, 1.1143010517742336, 1.1146023273772838, 1.1147758448764464, 1.1148643493098032, 1.1149020445441091, 1.1149139940900565, 1.1149161434810408, 1.11491623629655], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.9307039903326947}

6.860506

1

4.376911

[ [ 0.8450468512386956, 0.845061681449476, 0.8451977509430999, 0.8456187494422355, 0.8464927479346678, 0.8479740891413442, 0.8501944662767956, 0.8532583411525934, 0.8572409432204128, 0.8621879636333454, 0.8681164187130187, 0.8750163374450726, 0.8828530296873908, 0.891569754939701, 0.9010906533484968, 0.911323829842007, 0.9221645036193893, 0.933498151369565, 0.9452035852144322, 0.9571559165025263, 0.9692293649098283, 0.9812998793017512, 0.9932475428015034, 1.004958739729969, 1.0163280667037358, 1.027259974330882, 1.0376701297285056, 1.0474864935802626, 1.0566501087195885, 1.0651156003169984, 1.0728513907123018, 1.0798396348037718, 1.086075884721981, 1.0915684953102602, 1.0963377847406335, 1.1004149674495491, 1.1038408795213446, 1.1066645197249791, 1.1089414326765978, 1.1107319641266806, 1.1120994222472405, 1.113108183145663, 1.1138217838321811, 1.1143010517742336, 1.1146023273772838, 1.1147758448764464, 1.1148643493098032, 1.1149020445441091, 1.1149139940900565, 1.1149161434810408, 1.11491623629655 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2006295860747483, 0.07868334508373998, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.930704

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

DLg9BMGTv7fVMZC87esochR

null

false

null

false

DDeQYcYPQk5owPShQx5UxbA

DMrLN6BhVigY4RRhiiYzpQK

{"qi": 0.008830851955590134, "vacuum_well": -0.108495552340278, "aspect_ratio": 6.185179094118577, "max_elongation": 9.92585708917041, "average_triangularity": -0.1884091735342213, "axis_magnetic_mirror_ratio": 0.6333238604060294, "edge_magnetic_mirror_ratio": 0.8670071768775507, "aspect_ratio_over_edge_rotational_transform": 13.534960433174474, "flux_compression_in_regions_of_bad_curvature": 2.6214039889274363, "axis_rotational_transform_over_n_field_periods": 0.20774650401267877, "edge_rotational_transform_over_n_field_periods": 0.22848899797884048, "minimum_normalized_magnetic_gradient_scale_length": 0.8732173611418195}

6.185179

13.53496

-0.554737

0.633324

0.207747

0.867007

0.228489

2.621404

9.925857

0.873217

0.008831

-0.108496

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.4064815313145644,-0.08194194138967298,-0.02755536566823221,0.000573530102210978],[0.007499633460626593,0.005901702559544888,0.023142446893446914,0.013809275765657159,0.07145792466439028,-0.0028370097641916316,0.00458014921434681,0.005387541468740686,-0.0023378583778825104],[-0.00469626588249884,-0.0009310682308015612,-0.01368263528667746,0.0007456669144752195,-0.01670481912759439,-0.002366579549243723,-0.005725064978638455,-0.00008528221850340623,-0.0018844131151342376],[0.0013665592458763393,-0.0012728566428769055,0.0028071013572524843,-0.002187852003760589,0.003602234906042067,-0.0022106408036744146,0.0023579937803489223,-0.0008245146751720452,0.0004982715984521038],[-0.00017832297738947184,0.0003038284422345191,-0.0006488333396620123,0.0006706923283032228,-0.0007145383519555452,0.00036333848720207246,-0.00019651534683876257,0.00005155109152383988,-0.00001564922465679215]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.036570265632956844,0.03446609139471139,0.007608392042236744,0.0023727878030856335],[0.0008149493187142834,0.0007067205442717332,0.07470072177967166,0.05951778490478335,-0.2567660723798792,0.08131228263876161,-0.0360404358176544,0.006843668670912576,0.002451573889032163],[-0.002516556643691519,-0.0055341633926444525,-0.0013246529612581121,-0.027902605695338683,0.043410281975889434,-0.024637739496596842,0.02025586801206393,-0.005570449619780776,0.003159019345268822],[0.00027200452402475166,0.0007233162799683242,0.006715486933946605,-0.004298023636483317,0.00024137602713750146,0.005508887936423889,-0.006970227947418128,0.003449666991016468,-0.0011846032545204104],[-0.000650552611118786,0.0011088421595840817,-0.0012555861699321354,0.00038854921157487705,0.0009410211513308547,-0.0016254022530936972,0.0016644434951035446,-0.0010005117970566559,0.0003099064437757299]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, 0.4064815313145644, -0.08194194138967298, -0.02755536566823221, 0.000573530102210978 ], [ 0.007499633460626593, 0.005901702559544888, 0.023142446893446914, 0.013809275765657159, 0.07145792466439028, -0.0028370097641916316, 0.00458014921434681, 0.005387541468740686, -0.0023378583778825104 ], [ -0.00469626588249884, -0.0009310682308015612, -0.01368263528667746, 0.0007456669144752195, -0.01670481912759439, -0.002366579549243723, -0.005725064978638455, -0.00008528221850340623, -0.0018844131151342376 ], [ 0.0013665592458763393, -0.0012728566428769055, 0.0028071013572524843, -0.002187852003760589, 0.003602234906042067, -0.0022106408036744146, 0.0023579937803489223, -0.0008245146751720452, 0.0004982715984521038 ], [ -0.00017832297738947184, 0.0003038284422345191, -0.0006488333396620123, 0.0006706923283032228, -0.0007145383519555452, 0.00036333848720207246, -0.00019651534683876257, 0.00005155109152383988, -0.00001564922465679215 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.036570265632956844, 0.03446609139471139, 0.007608392042236744, 0.0023727878030856335 ], [ 0.0008149493187142834, 0.0007067205442717332, 0.07470072177967166, 0.05951778490478335, -0.2567660723798792, 0.08131228263876161, -0.0360404358176544, 0.006843668670912576, 0.002451573889032163 ], [ -0.002516556643691519, -0.0055341633926444525, -0.0013246529612581121, -0.027902605695338683, 0.043410281975889434, -0.024637739496596842, 0.02025586801206393, -0.005570449619780776, 0.003159019345268822 ], [ 0.00027200452402475166, 0.0007233162799683242, 0.006715486933946605, -0.004298023636483317, 0.00024137602713750146, 0.005508887936423889, -0.006970227947418128, 0.003449666991016468, -0.0011846032545204104 ], [ -0.000650552611118786, 0.0011088421595840817, -0.0012555861699321354, 0.00038854921157487705, 0.0009410211513308547, -0.0016254022530936972, 0.0016644434951035446, -0.0010005117970566559, 0.0003099064437757299 ] ]

Da8QGbZrbsuZLtWEEsCGo2N

{"aspect_ratio": 5.675766453888845, "major_radius": 1.0, "max_elongation": 6.060671233247367, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.05932472659609024, 0.21120233083828366, 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": [[0.6326516677708737, 0.6329646756326237, 0.6347418287461059, 0.638816475648302, 0.6456584723225866, 0.6554842725409709, 0.6683218000454514, 0.6840574464485245, 0.7024727349821481, 0.7232739111878179, 0.7461162105244075, 0.7706238816430873, 0.7964066991043315, 0.8230735025822696, 0.8502431781542191, 0.8775534174029984, 0.9046675347175368, 0.9312795830984008, 0.9571179786214565, 0.9819478202565788, 1.0055720729441886, 1.0278317663712486, 1.048605348864465, 1.0678073246113242, 1.085386292588434, 1.1013224968010964, 1.115624989480158, 1.1283285015616336, 1.1394901079517161, 1.1491857686442413, 1.1575068206202406, 1.1645564895459706, 1.1704464845337623, 1.1752937335838154, 1.179217311734229, 1.1823356083632237, 1.1847637744642938, 1.1866114850027978, 1.1879810456079012, 1.1889658667963436, 1.1896493225924496, 1.190104003713575, 1.1903913683179304, 1.1905617855100727, 1.1906549581556285, 1.1907007017597226, 1.1907200447318265, 1.1907266014963096, 1.1907281521685955, 1.190728337923466, 1.1907283421286516], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5543456630017203}

5.675766

1

6.060671

[ [ 0.6326516677708737, 0.6329646756326237, 0.6347418287461059, 0.638816475648302, 0.6456584723225866, 0.6554842725409709, 0.6683218000454514, 0.6840574464485245, 0.7024727349821481, 0.7232739111878179, 0.7461162105244075, 0.7706238816430873, 0.7964066991043315, 0.8230735025822696, 0.8502431781542191, 0.8775534174029984, 0.9046675347175368, 0.9312795830984008, 0.9571179786214565, 0.9819478202565788, 1.0055720729441886, 1.0278317663712486, 1.048605348864465, 1.0678073246113242, 1.085386292588434, 1.1013224968010964, 1.115624989480158, 1.1283285015616336, 1.1394901079517161, 1.1491857686442413, 1.1575068206202406, 1.1645564895459706, 1.1704464845337623, 1.1752937335838154, 1.179217311734229, 1.1823356083632237, 1.1847637744642938, 1.1866114850027978, 1.1879810456079012, 1.1889658667963436, 1.1896493225924496, 1.190104003713575, 1.1903913683179304, 1.1905617855100727, 1.1906549581556285, 1.1907007017597226, 1.1907200447318265, 1.1907266014963096, 1.1907281521685955, 1.190728337923466, 1.1907283421286516 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.05932472659609024, 0.21120233083828366, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.554346

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

DKmm9jZ97Nabtk4WeHxMafC

null

false

null

false

DCEydYyEHSF6593xho3pHaf

DRFtJjqD9r9pNe4kqgHjZ8h

{"qi": 0.015837565663057652, "vacuum_well": -0.14820925737667626, "aspect_ratio": 10.130448113300549, "max_elongation": 5.5617903191999005, "average_triangularity": -0.11551559300577585, "axis_magnetic_mirror_ratio": 0.17042511094552507, "edge_magnetic_mirror_ratio": 0.26345467293778635, "aspect_ratio_over_edge_rotational_transform": 9.076666778176737, "flux_compression_in_regions_of_bad_curvature": 1.6082168219343005, "axis_rotational_transform_over_n_field_periods": 0.2545142385924215, "edge_rotational_transform_over_n_field_periods": 0.223219566408617, "minimum_normalized_magnetic_gradient_scale_length": 11.468536729668543}

10.130448

9.076667

-0.096954

0.170425

0.254514

0.263455

0.22322

1.608217

5.56179

11.468537

0.015838

-0.148209

{"r_cos":[[0.0,0.0,0.0,0.0,0.99846345602688,0.009522943072325117,-0.005812309690496038,0.0009432156285038331,0.000023986573520115226],[-0.00015815627970224992,-0.0006577682864184756,0.0033712909032462064,-0.07577599627027051,0.12154750788173092,-0.0026624961035909347,-0.003969904940132914,0.00019404545030519374,0.00007486706869448044],[0.0003128152885459751,0.001472971077043481,-0.0028029723142482654,0.019435971040837063,-0.008305842055481995,0.009178365373740723,-0.0020698281820561376,0.0000802010491324968,-0.000013630153128191838],[0.00006158178200381635,-0.0006146914028192238,0.001988281928129509,-0.004080966012743126,0.003373520838783671,-0.0007574312219188165,-0.0003014308279993658,0.00021809183032313412,-0.0000264574829027375],[-0.00013863184355700719,0.00002463430543126182,-0.0005354971279532035,-0.000033205297591512974,0.00004087755400188943,-0.00004200579522519311,0.000039677829699142405,0.000047178950409166014,-0.00001350721084688603]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.055698316331572614,0.00396874821641482,-0.0006841610487162584,0.00019855211526235116],[-0.0002897869556336228,-0.0027102612973859694,-0.0005662367202358724,-0.07638561899093814,-0.13757475749994422,0.01984414299693367,0.001441229458120618,0.00019803833837358457,0.00007095202171707429],[0.0001415095997016556,0.00024524142180417134,-0.0024873908045434747,0.016591657478574787,-0.020696411577242974,0.0015437969724609512,0.0005924640877655278,-0.00009111663045517449,0.00007431772811539121],[-0.00004030811346348314,0.0006486870899688761,-0.0002871552560955162,0.004718529525492326,-0.006512367435632376,0.0020568453816472315,-0.00035020869550483565,-0.0000329428937864312,0.000040277330439986186],[-0.00004660586501582884,-0.00042194075741507336,0.00028701631563148527,0.00028077998449055493,-0.0011988657274826816,0.0005620982234077058,-0.00035371072712975037,0.000046628073290109904,0.000038847331577738196]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.99846345602688, 0.009522943072325117, -0.005812309690496038, 0.0009432156285038331, 0.000023986573520115226 ], [ -0.00015815627970224992, -0.0006577682864184756, 0.0033712909032462064, -0.07577599627027051, 0.12154750788173092, -0.0026624961035909347, -0.003969904940132914, 0.00019404545030519374, 0.00007486706869448044 ], [ 0.0003128152885459751, 0.001472971077043481, -0.0028029723142482654, 0.019435971040837063, -0.008305842055481995, 0.009178365373740723, -0.0020698281820561376, 0.0000802010491324968, -0.000013630153128191838 ], [ 0.00006158178200381635, -0.0006146914028192238, 0.001988281928129509, -0.004080966012743126, 0.003373520838783671, -0.0007574312219188165, -0.0003014308279993658, 0.00021809183032313412, -0.0000264574829027375 ], [ -0.00013863184355700719, 0.00002463430543126182, -0.0005354971279532035, -0.000033205297591512974, 0.00004087755400188943, -0.00004200579522519311, 0.000039677829699142405, 0.000047178950409166014, -0.00001350721084688603 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.055698316331572614, 0.00396874821641482, -0.0006841610487162584, 0.00019855211526235116 ], [ -0.0002897869556336228, -0.0027102612973859694, -0.0005662367202358724, -0.07638561899093814, -0.13757475749994422, 0.01984414299693367, 0.001441229458120618, 0.00019803833837358457, 0.00007095202171707429 ], [ 0.0001415095997016556, 0.00024524142180417134, -0.0024873908045434747, 0.016591657478574787, -0.020696411577242974, 0.0015437969724609512, 0.0005924640877655278, -0.00009111663045517449, 0.00007431772811539121 ], [ -0.00004030811346348314, 0.0006486870899688761, -0.0002871552560955162, 0.004718529525492326, -0.006512367435632376, 0.0020568453816472315, -0.00035020869550483565, -0.0000329428937864312, 0.000040277330439986186 ], [ -0.00004660586501582884, -0.00042194075741507336, 0.00028701631563148527, 0.00028077998449055493, -0.0011988657274826816, 0.0005620982234077058, -0.00035371072712975037, 0.000046628073290109904, 0.000038847331577738196 ] ]

Djzza8zgQby32GtDfowiy4g

{"aspect_ratio": 9.931221815473112, "major_radius": 1.0, "max_elongation": 4.764398172849482, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.17066259819915536, -0.1427384526630307, 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": [[0.8154523376733718, 0.8154525575449175, 0.8154586933631018, 0.8154963162290562, 0.8156216874849026, 0.8159250585375664, 0.8165283904096278, 0.8175792050298399, 0.8192419714702209, 0.8216881786564547, 0.8250860288628684, 0.8295904950286178, 0.8353343153487905, 0.8424203481728977, 0.8509155772687877, 0.8608469406992765, 0.872199054876148, 0.8849138179161787, 0.898891802435743, 0.9139952866546699, 0.9300527234462265, 0.9468644091032661, 0.9642090864403325, 0.9818511997745468, 0.9995485116822367, 1.0170597925674023, 1.034152303347958, 1.050608808299659, 1.0662338786129397, 1.0808592768114946, 1.0943482471256416, 1.1065985764511865, 1.117544333863504, 1.127156242963177, 1.1354406897207145, 1.1424374180214365, 1.1482160147741785, 1.1528713351388986, 1.1565180649412783, 1.1592846603353926, 1.1613069427352851, 1.162721658225353, 1.16366033303975, 1.1642437678184303, 1.164577510150005, 1.1647486234477982, 1.1648240250898891, 1.1648505901397253, 1.1648570963387987, 1.164857898717417, 1.1648579172130393], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.3928153771477132}

9.931222

1

4.764398

[ [ 0.8154523376733718, 0.8154525575449175, 0.8154586933631018, 0.8154963162290562, 0.8156216874849026, 0.8159250585375664, 0.8165283904096278, 0.8175792050298399, 0.8192419714702209, 0.8216881786564547, 0.8250860288628684, 0.8295904950286178, 0.8353343153487905, 0.8424203481728977, 0.8509155772687877, 0.8608469406992765, 0.872199054876148, 0.8849138179161787, 0.898891802435743, 0.9139952866546699, 0.9300527234462265, 0.9468644091032661, 0.9642090864403325, 0.9818511997745468, 0.9995485116822367, 1.0170597925674023, 1.034152303347958, 1.050608808299659, 1.0662338786129397, 1.0808592768114946, 1.0943482471256416, 1.1065985764511865, 1.117544333863504, 1.127156242963177, 1.1354406897207145, 1.1424374180214365, 1.1482160147741785, 1.1528713351388986, 1.1565180649412783, 1.1592846603353926, 1.1613069427352851, 1.162721658225353, 1.16366033303975, 1.1642437678184303, 1.164577510150005, 1.1647486234477982, 1.1648240250898891, 1.1648505901397253, 1.1648570963387987, 1.164857898717417, 1.1648579172130393 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.17066259819915536, -0.1427384526630307, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.392815

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

D2Q33KGWzYTNFybGJDMQpdB

null

false

null

false

DFCTgK8zmBExLas68NxzugC

DJ6KqHToPVz6m6z9jkG7X5q

{"qi": 0.0016156479794121196, "vacuum_well": -0.029747471681386885, "aspect_ratio": 9.104465397716003, "max_elongation": 5.791441370109075, "average_triangularity": -0.06939595663911849, "axis_magnetic_mirror_ratio": 0.38570671052706607, "edge_magnetic_mirror_ratio": 0.42811010500195795, "aspect_ratio_over_edge_rotational_transform": 49.82592818066022, "flux_compression_in_regions_of_bad_curvature": 0.8026553236465348, "axis_rotational_transform_over_n_field_periods": 0.21515887314273696, "edge_rotational_transform_over_n_field_periods": 0.18272545500215837, "minimum_normalized_magnetic_gradient_scale_length": 1.760029098422409}

9.104465

49.825928

-0.250614

0.385707

0.215159

0.42811

0.182725

0.802655

5.791441

1.760029

0.001616

-0.029747

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.000016839241242037244,-0.21170571257678314,-0.0036101302534475295,0.012657276525387489],[0.005077847355276332,-0.01892020248857503,0.034815640954672045,-0.01974249730167766,0.09116472220166705,-0.027440369206207585,0.004001784854159359,0.0022678727022259794,-0.00040976815479194795],[-0.0007752340276205049,0.0018115832057818272,-0.008649659367377292,0.0009653580020643457,0.005283453781804736,-0.0012340895886737485,-0.0014166402938531066,-0.0005349208045549318,0.00041312193195324295],[-0.000232560207478774,0.0015257291635660246,-0.0021171596323021026,-0.00037115511291985133,-0.0014852800290078032,0.00012949599471726703,0.0027782487310672272,-0.001973220021109216,0.0005189303920573567],[-1.3837782253023394e-6,0.00011872733705410605,-0.00010579504815848,0.00037118526874724083,-0.0006842445918487467,0.0004074842441362753,0.00007723861726217007,-0.00010583316935933245,-0.00002656601799146012]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.008629125626403262,0.03188159389003,-0.009039658051610935,-0.0010107513128528747],[-0.00019401581657661694,-0.015390471780783715,0.06502641986145427,0.0037094998417762804,-0.1603280088192466,0.005238079962460514,0.008331313301242038,-0.0023478536722970032,0.00026876108097702756],[-0.0002116131060581694,0.0007188637598391928,-0.003870195974189204,0.002591612994727096,0.002006010766914577,-0.0043303601937601304,-0.0013363126554130857,0.0018610593058943634,-0.00014797933927894897],[-0.0006847785300784169,0.0007186853966612463,-0.003945020638414044,0.0024969693177484564,0.02866478401247601,0.005522384935935569,-0.005711496718097493,0.0014758227345236464,-0.000049271177471376065],[0.0001491683230801733,0.00042208710304728276,-0.0005397914980189849,0.0002269510613759279,0.000567372865349059,0.00003828433609992838,-0.0007482437888704439,-0.00004345364926381051,0.00015631472107827455]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.000016839241242037244, -0.21170571257678314, -0.0036101302534475295, 0.012657276525387489 ], [ 0.005077847355276332, -0.01892020248857503, 0.034815640954672045, -0.01974249730167766, 0.09116472220166705, -0.027440369206207585, 0.004001784854159359, 0.0022678727022259794, -0.00040976815479194795 ], [ -0.0007752340276205049, 0.0018115832057818272, -0.008649659367377292, 0.0009653580020643457, 0.005283453781804736, -0.0012340895886737485, -0.0014166402938531066, -0.0005349208045549318, 0.00041312193195324295 ], [ -0.000232560207478774, 0.0015257291635660246, -0.0021171596323021026, -0.00037115511291985133, -0.0014852800290078032, 0.00012949599471726703, 0.0027782487310672272, -0.001973220021109216, 0.0005189303920573567 ], [ -0.0000013837782253023394, 0.00011872733705410605, -0.00010579504815848, 0.00037118526874724083, -0.0006842445918487467, 0.0004074842441362753, 0.00007723861726217007, -0.00010583316935933245, -0.00002656601799146012 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.008629125626403262, 0.03188159389003, -0.009039658051610935, -0.0010107513128528747 ], [ -0.00019401581657661694, -0.015390471780783715, 0.06502641986145427, 0.0037094998417762804, -0.1603280088192466, 0.005238079962460514, 0.008331313301242038, -0.0023478536722970032, 0.00026876108097702756 ], [ -0.0002116131060581694, 0.0007188637598391928, -0.003870195974189204, 0.002591612994727096, 0.002006010766914577, -0.0043303601937601304, -0.0013363126554130857, 0.0018610593058943634, -0.00014797933927894897 ], [ -0.0006847785300784169, 0.0007186853966612463, -0.003945020638414044, 0.0024969693177484564, 0.02866478401247601, 0.005522384935935569, -0.005711496718097493, 0.0014758227345236464, -0.000049271177471376065 ], [ 0.0001491683230801733, 0.00042208710304728276, -0.0005397914980189849, 0.0002269510613759279, 0.000567372865349059, 0.00003828433609992838, -0.0007482437888704439, -0.00004345364926381051, 0.00015631472107827455 ] ]

DgncWjvUVTBNhL8nkwLshoT

{"aspect_ratio": 10.47018813538749, "major_radius": 1.0, "max_elongation": 6.867541084812796, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1289155540869237, 0.110804534856978, 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": [[0.6225058285628986, 0.6225059469855632, 0.6225100038380843, 0.6225384429676001, 0.6226431924591644, 0.6229180364784265, 0.6235036388565063, 0.6245875205628819, 0.6263996511329477, 0.6292044634016506, 0.6332901519993778, 0.6389561119226037, 0.6464993352411553, 0.6562005236415277, 0.6683105995409072, 0.6830382139998232, 0.7005387592253697, 0.7209052997946558, 0.7441617419421567, 0.7702584660356928, 0.7990705551129086, 0.8303986632505734, 0.8639724826231309, 0.8994566882872281, 0.9364591658289263, 0.9745412597859082, 1.0132297209139225, 1.0520299785737397, 1.0904403214159355, 1.1279665357648239, 1.1641365272736597, 1.1985144381687056, 1.2307137703620552, 1.2604090345589651, 1.287345467919497, 1.3113463986136233, 1.3323178855633242, 1.3502503267217354, 1.3652168104575906, 1.3773680832327886, 1.386924124271673, 1.3941624561662902, 1.3994034817017558, 1.4029933247561557, 1.4052848712888872, 1.4066179615669923, 1.4072999868758966, 1.40758850996576, 1.4076779904965102, 1.407693326048135, 1.4076939238439072], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.24199218769211867}

10.470188

1

6.867541

[ [ 0.6225058285628986, 0.6225059469855632, 0.6225100038380843, 0.6225384429676001, 0.6226431924591644, 0.6229180364784265, 0.6235036388565063, 0.6245875205628819, 0.6263996511329477, 0.6292044634016506, 0.6332901519993778, 0.6389561119226037, 0.6464993352411553, 0.6562005236415277, 0.6683105995409072, 0.6830382139998232, 0.7005387592253697, 0.7209052997946558, 0.7441617419421567, 0.7702584660356928, 0.7990705551129086, 0.8303986632505734, 0.8639724826231309, 0.8994566882872281, 0.9364591658289263, 0.9745412597859082, 1.0132297209139225, 1.0520299785737397, 1.0904403214159355, 1.1279665357648239, 1.1641365272736597, 1.1985144381687056, 1.2307137703620552, 1.2604090345589651, 1.287345467919497, 1.3113463986136233, 1.3323178855633242, 1.3502503267217354, 1.3652168104575906, 1.3773680832327886, 1.386924124271673, 1.3941624561662902, 1.3994034817017558, 1.4029933247561557, 1.4052848712888872, 1.4066179615669923, 1.4072999868758966, 1.40758850996576, 1.4076779904965102, 1.407693326048135, 1.4076939238439072 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1289155540869237, 0.110804534856978, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.241992

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

DUnSLrxSz3ny4A5wzpunWZZ

null

false

null

false

Dh8He7TaVmTy86p4g7aieCG

DibCizwC98MSGrwr5bmcjeR

{"qi": 0.0011899124648091805, "vacuum_well": -0.07084609441539223, "aspect_ratio": 8.925052254622694, "max_elongation": 6.8327670897855635, "average_triangularity": -0.5536664533924588, "axis_magnetic_mirror_ratio": 0.356455034511892, "edge_magnetic_mirror_ratio": 0.4181813034436755, "aspect_ratio_over_edge_rotational_transform": 97.83822486937358, "flux_compression_in_regions_of_bad_curvature": 1.3740007945065984, "axis_rotational_transform_over_n_field_periods": 0.24390089875192966, "edge_rotational_transform_over_n_field_periods": 0.0912225489223539, "minimum_normalized_magnetic_gradient_scale_length": 2.737341904117676}

8.925052

97.838225

-0.794844

0.356455

0.243901

0.418181

0.091223

1.374001

6.832767

2.737342

0.00119

-0.070846

{"r_cos":[[0.0,0.0,0.0,0.0,0.9936354160282744,0.004349975824524186,-0.2737098868793634,0.0010546198170378086,0.025541180416351932],[0.0019585259252332503,-0.011790314251907595,0.025291411193658297,0.002240957753999538,0.06852833936958228,-0.04153662694197808,0.04410558931082956,-0.01087940661699726,0.003442231507918718],[-0.0009049167287575186,-0.001211746857031758,-0.012091935484908046,-0.009985311141266055,-0.00835998377184477,-0.00008413333877336192,-0.004160625766165268,0.001122974706058946,-0.0003300246942379827],[-0.00010162739145330443,-0.0011103523435883654,-0.004101957904722377,0.000019385098659367803,-0.002364800473070111,-0.0048148489622749,-0.000830027609351416,-0.0007703275436569427,-0.0002954431751040935],[-0.00006258245370655615,-0.0005655191702522198,-0.0010780993439146358,-0.000819629201495655,0.0005355466252650802,-0.0007540582577351139,-0.0005182611503026743,-0.00009905029118748658,-0.00005245632367054592]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.21231926017444486,-0.008631011026629241,0.005234104640296718,0.008604544448770212],[0.0014379867786916433,0.002464094239457918,0.03307929906010881,-0.13344363093141196,-0.10856940919294807,0.10799657094227444,-0.01427829056947601,0.011388725287071636,-0.00230371592192117],[-0.0018904106182060373,0.006305196019140053,0.010167924322589512,0.00984672804508244,-0.022546617893993367,-0.01787270093910511,0.0019045471061744463,-0.0011585603102649794,0.0001605579622288645],[0.0009270148908533467,0.0022256643833577774,-0.0019230382236055975,0.00044114720153913653,0.000832064855871637,0.0004592876136606859,-0.0023855809585079813,0.00006700580489429203,-0.0004927419486889237],[0.0005037687762736862,0.000895871294464748,-0.00015741499319354697,-0.0008433585452578988,0.00006812981778549481,0.0005621504508341468,-0.0003129084443469134,-0.00039716660583215973,0.00011293047098783195]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9936354160282744, 0.004349975824524186, -0.2737098868793634, 0.0010546198170378086, 0.025541180416351932 ], [ 0.0019585259252332503, -0.011790314251907595, 0.025291411193658297, 0.002240957753999538, 0.06852833936958228, -0.04153662694197808, 0.04410558931082956, -0.01087940661699726, 0.003442231507918718 ], [ -0.0009049167287575186, -0.001211746857031758, -0.012091935484908046, -0.009985311141266055, -0.00835998377184477, -0.00008413333877336192, -0.004160625766165268, 0.001122974706058946, -0.0003300246942379827 ], [ -0.00010162739145330443, -0.0011103523435883654, -0.004101957904722377, 0.000019385098659367803, -0.002364800473070111, -0.0048148489622749, -0.000830027609351416, -0.0007703275436569427, -0.0002954431751040935 ], [ -0.00006258245370655615, -0.0005655191702522198, -0.0010780993439146358, -0.000819629201495655, 0.0005355466252650802, -0.0007540582577351139, -0.0005182611503026743, -0.00009905029118748658, -0.00005245632367054592 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.21231926017444486, -0.008631011026629241, 0.005234104640296718, 0.008604544448770212 ], [ 0.0014379867786916433, 0.002464094239457918, 0.03307929906010881, -0.13344363093141196, -0.10856940919294807, 0.10799657094227444, -0.01427829056947601, 0.011388725287071636, -0.00230371592192117 ], [ -0.0018904106182060373, 0.006305196019140053, 0.010167924322589512, 0.00984672804508244, -0.022546617893993367, -0.01787270093910511, 0.0019045471061744463, -0.0011585603102649794, 0.0001605579622288645 ], [ 0.0009270148908533467, 0.0022256643833577774, -0.0019230382236055975, 0.00044114720153913653, 0.000832064855871637, 0.0004592876136606859, -0.0023855809585079813, 0.00006700580489429203, -0.0004927419486889237 ], [ 0.0005037687762736862, 0.000895871294464748, -0.00015741499319354697, -0.0008433585452578988, 0.00006812981778549481, 0.0005621504508341468, -0.0003129084443469134, -0.00039716660583215973, 0.00011293047098783195 ] ]

DQRCGnxHiUjoyyT8Nmji8oN

{"aspect_ratio": 8.897061184795735, "major_radius": 1.0, "max_elongation": 6.640898228519415, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0804263790517759, 0.19021493580258053, 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": [[0.6348326135853123, 0.6348338294065504, 0.6348576566965514, 0.6349759393011044, 0.6353179100988752, 0.6360645655858864, 0.6374381238191771, 0.6396892393746416, 0.643083439757007, 0.647887708713072, 0.6543578372915793, 0.6627269675241041, 0.6731956166067378, 0.685923368081212, 0.7010223383915509, 0.718552465211465, 0.7385186137221479, 0.7608694557364553, 0.7854980423016883, 0.8122439618352886, 0.8408969519993499, 0.8712018137006903, 0.9028644592923465, 0.9355589138582456, 0.9689350780902499, 1.0026270534943043, 1.0362618253270344, 1.0694680956507947, 1.1018850581297746, 1.133170907635056, 1.1630108813798006, 1.1911246341988173, 1.2172727587877803, 1.241262272334519, 1.262950904163095, 1.2822500349822463, 1.2991261573657078, 1.31360074956777, 1.325748481191568, 1.3356937002492195, 1.3436051876939397, 1.349689208833845, 1.354180942968766, 1.3573344358033863, 1.3594112978031188, 1.3606684723442657, 1.3613455317883711, 1.3616521491349263, 1.3617566833747405, 1.361777322701531, 1.3617783431143309], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.22455203396484744}

8.897061

1

6.640898

[ [ 0.6348326135853123, 0.6348338294065504, 0.6348576566965514, 0.6349759393011044, 0.6353179100988752, 0.6360645655858864, 0.6374381238191771, 0.6396892393746416, 0.643083439757007, 0.647887708713072, 0.6543578372915793, 0.6627269675241041, 0.6731956166067378, 0.685923368081212, 0.7010223383915509, 0.718552465211465, 0.7385186137221479, 0.7608694557364553, 0.7854980423016883, 0.8122439618352886, 0.8408969519993499, 0.8712018137006903, 0.9028644592923465, 0.9355589138582456, 0.9689350780902499, 1.0026270534943043, 1.0362618253270344, 1.0694680956507947, 1.1018850581297746, 1.133170907635056, 1.1630108813798006, 1.1911246341988173, 1.2172727587877803, 1.241262272334519, 1.262950904163095, 1.2822500349822463, 1.2991261573657078, 1.31360074956777, 1.325748481191568, 1.3356937002492195, 1.3436051876939397, 1.349689208833845, 1.354180942968766, 1.3573344358033863, 1.3594112978031188, 1.3606684723442657, 1.3613455317883711, 1.3616521491349263, 1.3617566833747405, 1.361777322701531, 1.3617783431143309 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0804263790517759, 0.19021493580258053, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.224552

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

D2iM3iJainzv7qgrw3GBDhf

null

false

null

false

DQXprvWNNfGGPoicQwcMTUm

DFR5NKSvm9oHdNT4B7P3GdH

{"qi": 0.0013965703228818144, "vacuum_well": -0.13847657588526213, "aspect_ratio": 9.54434848340145, "max_elongation": 7.563509974435207, "average_triangularity": -0.5273699107583254, "axis_magnetic_mirror_ratio": 0.36732020209727223, "edge_magnetic_mirror_ratio": 0.3934690139483528, "aspect_ratio_over_edge_rotational_transform": 20.891476161108496, "flux_compression_in_regions_of_bad_curvature": 1.4080052099785623, "axis_rotational_transform_over_n_field_periods": 0.12155999123679107, "edge_rotational_transform_over_n_field_periods": 0.11421342859880311, "minimum_normalized_magnetic_gradient_scale_length": 5.14805316839858}

9.544348

20.891476

-0.863864

0.36732

0.12156

0.393469

0.114213

1.408005

7.56351

5.148053

0.001397

-0.138477

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.03133781839284025,-0.010156935019368624,-0.002991492515560497,0.0005655861251708787],[0.0003684743121621732,-0.0007678858751194689,-0.020355313458580698,-0.07292269597254598,0.08952358812403077,0.03436592174328523,0.0017113198145907275,0.0011637204957018648,0.0005160274407523962],[-0.00045076505187343615,0.000547601089851637,0.00006338338181717204,-0.003488756653627663,-0.01518127018632674,0.009355904380970188,-0.0012801080951403878,0.0005774908599282878,0.00009403728127844606],[-0.00043355892649335243,0.001479214160669564,0.0005568027432099356,-0.0027252097581806946,0.00034887702411404,-0.00020756261207928732,-0.0011115487278813732,0.00008271770209076167,-0.00008521837573858941],[0.00034588692524965895,0.00015457606546254426,-0.000973624862151076,0.00007332852815218399,0.0004492132701506796,-0.00015998292310076849,-0.00014873597797731636,-8.482134205958173e-6,0.000017854678659558817]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06656978349044942,-0.010312799187888733,0.002589825044366867,-0.00018427203085125306],[0.00032341290257392047,0.004912378973362427,0.008293033331854782,-0.05281170420922634,-0.18599871074801436,0.023105280057743337,-0.0030817637526847955,-0.0014717125641650537,0.0003927938598914356],[-0.0009551784884033031,-0.0018385724004912048,0.0032126182332501384,0.028869516021375545,-0.0420555972564626,0.00026319645455071504,-0.002005176223888602,-0.0013888475201993542,-0.00008499808952124635],[-0.0004241040571345044,-0.002342759534875871,0.003673773980151694,0.0065467159173281915,-0.006289289983550728,0.0012003430690461217,-0.0006676770366672595,-0.00030069994776911143,-0.00011436625167882713],[0.00040196945978307605,-0.00013617434057828628,-0.000022958409942856726,-0.0007834422359389556,0.0013260465547356637,-0.0006261263388261741,0.0002016213695398103,-0.00020869231875690633,0.000019495353963324162]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.03133781839284025, -0.010156935019368624, -0.002991492515560497, 0.0005655861251708787 ], [ 0.0003684743121621732, -0.0007678858751194689, -0.020355313458580698, -0.07292269597254598, 0.08952358812403077, 0.03436592174328523, 0.0017113198145907275, 0.0011637204957018648, 0.0005160274407523962 ], [ -0.00045076505187343615, 0.000547601089851637, 0.00006338338181717204, -0.003488756653627663, -0.01518127018632674, 0.009355904380970188, -0.0012801080951403878, 0.0005774908599282878, 0.00009403728127844606 ], [ -0.00043355892649335243, 0.001479214160669564, 0.0005568027432099356, -0.0027252097581806946, 0.00034887702411404, -0.00020756261207928732, -0.0011115487278813732, 0.00008271770209076167, -0.00008521837573858941 ], [ 0.00034588692524965895, 0.00015457606546254426, -0.000973624862151076, 0.00007332852815218399, 0.0004492132701506796, -0.00015998292310076849, -0.00014873597797731636, -0.000008482134205958173, 0.000017854678659558817 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06656978349044942, -0.010312799187888733, 0.002589825044366867, -0.00018427203085125306 ], [ 0.00032341290257392047, 0.004912378973362427, 0.008293033331854782, -0.05281170420922634, -0.18599871074801436, 0.023105280057743337, -0.0030817637526847955, -0.0014717125641650537, 0.0003927938598914356 ], [ -0.0009551784884033031, -0.0018385724004912048, 0.0032126182332501384, 0.028869516021375545, -0.0420555972564626, 0.00026319645455071504, -0.002005176223888602, -0.0013888475201993542, -0.00008499808952124635 ], [ -0.0004241040571345044, -0.002342759534875871, 0.003673773980151694, 0.0065467159173281915, -0.006289289983550728, 0.0012003430690461217, -0.0006676770366672595, -0.00030069994776911143, -0.00011436625167882713 ], [ 0.00040196945978307605, -0.00013617434057828628, -0.000022958409942856726, -0.0007834422359389556, 0.0013260465547356637, -0.0006261263388261741, 0.0002016213695398103, -0.00020869231875690633, 0.000019495353963324162 ] ]

DefAmwHfQAtDajTk3VeasNd

{"aspect_ratio": 10.42793465552802, "major_radius": 1.0, "max_elongation": 6.704297183903201, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.01769433275450739, -0.2559367147640462, 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": [[0.7230286301048363, 0.7230286438763965, 0.7230291284233601, 0.7230326518432638, 0.723046185710633, 0.723083340873028, 0.7231663767778584, 0.7233279118181395, 0.7236122924396734, 0.7240765949472506, 0.7247912442826501, 0.7258402413876489, 0.7273209963893239, 0.7293437694122471, 0.7320307247099248, 0.7355146072497303, 0.7399370540369015, 0.7454465554338998, 0.7521960846046756, 0.7603404160562995, 0.7700331571211225, 0.781423519175006, 0.794652858474606, 0.809851019775204, 0.827132519421883, 0.84659260846176, 0.8683032605873247, 0.8923091344925059, 0.9186235656302363, 0.9472246485626216, 0.9780514782975406, 1.0110006274764674, 1.0459229463730617, 1.0826207848600542, 1.1208457504613778, 1.1602971352477096, 1.2006211679702286, 1.2414112783772846, 1.2822096009926547, 1.3225100001738745, 1.361762974047823, 1.399382903548938, 1.4347582742778364, 1.4672657495687296, 1.4962893830774384, 1.5212469742642178, 1.5416269247891874, 1.5570418191392674, 1.5673120459646657, 1.5726153889194798, 1.5738670500921481], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.495337067864678}

10.427935

1

6.704297

[ [ 0.7230286301048363, 0.7230286438763965, 0.7230291284233601, 0.7230326518432638, 0.723046185710633, 0.723083340873028, 0.7231663767778584, 0.7233279118181395, 0.7236122924396734, 0.7240765949472506, 0.7247912442826501, 0.7258402413876489, 0.7273209963893239, 0.7293437694122471, 0.7320307247099248, 0.7355146072497303, 0.7399370540369015, 0.7454465554338998, 0.7521960846046756, 0.7603404160562995, 0.7700331571211225, 0.781423519175006, 0.794652858474606, 0.809851019775204, 0.827132519421883, 0.84659260846176, 0.8683032605873247, 0.8923091344925059, 0.9186235656302363, 0.9472246485626216, 0.9780514782975406, 1.0110006274764674, 1.0459229463730617, 1.0826207848600542, 1.1208457504613778, 1.1602971352477096, 1.2006211679702286, 1.2414112783772846, 1.2822096009926547, 1.3225100001738745, 1.361762974047823, 1.399382903548938, 1.4347582742778364, 1.4672657495687296, 1.4962893830774384, 1.5212469742642178, 1.5416269247891874, 1.5570418191392674, 1.5673120459646657, 1.5726153889194798, 1.5738670500921481 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.01769433275450739, -0.2559367147640462, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.495337

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

DBQPXnNrQoX4fgsQ9KbxMKB

null

false

null

false

DgoJLd3zkNGuvXaVtPsfWH3

DSPCM7oeFn5tWomg34ACvK6

{"qi": 0.01641194292283399, "vacuum_well": -0.1503305034681832, "aspect_ratio": 9.681646994975326, "max_elongation": 6.138693761864232, "average_triangularity": -0.09233424721319847, "axis_magnetic_mirror_ratio": 0.23211822107223626, "edge_magnetic_mirror_ratio": 0.3541836418102627, "aspect_ratio_over_edge_rotational_transform": 9.248257771654044, "flux_compression_in_regions_of_bad_curvature": 1.255568992408674, "axis_rotational_transform_over_n_field_periods": 0.25753377333369915, "edge_rotational_transform_over_n_field_periods": 0.3489539051218065, "minimum_normalized_magnetic_gradient_scale_length": 5.542551277590083}

9.681647

9.248258

-0.303622

0.232118

0.257534

0.354184

0.348954

1.255569

6.138694

5.542551

0.016412

-0.150331

{"r_cos":[[0.0,0.0,0.0,0.0,0.9990214505597153,-0.05312170335581828,-0.03078079529022076,0.003193869958804748,0.0013328548027283455],[-0.004922558340159136,0.007763608528069607,0.049674096001737604,-0.011234693308435094,0.08426278576003576,-0.04693444210436951,-0.0046747401698950045,0.0024056775888060948,0.00012466644829885057],[0.0004595849813673012,-0.006828916222994818,-0.011072580531885153,-0.01964167359357941,-0.009304656128026568,-0.005511604545101487,0.0004284295332448408,0.00045050142157480053,0.00011191868938841636],[0.00018500474654638976,-0.00017923493530188183,0.0019055262610282757,-0.004268943453917821,0.0009530828511353454,0.0008846577721431487,-0.00019540266488732923,0.0000568975254589521,7.70938022683006e-6],[0.0003739241168893053,0.0002549391916821744,-0.0027205787812254476,-0.0010337888111198318,0.0008275237598363717,-0.0002670140930149753,0.00009276078562208702,-0.00002584155652093964,-0.000013400701289291314]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0727902586143965,0.008743095872256725,-0.0030864638899056446,-0.001261894672339529],[-0.004018582291377155,0.011400410552464503,0.044926826859200325,-0.0691379386759779,-0.1437637805619497,0.041064146310612754,0.004996803250712157,-0.0012215457152385516,-0.00005289263607816336],[0.00012813699117127824,-0.010386100844305739,-0.00603027398932038,-0.0074336357549649595,0.0068926734479401175,0.008232614788861073,0.0011344477730251801,0.00004303403561083281,-0.00006708723802641812],[0.00042686261373027577,0.0005220685127663825,0.00036035938724828686,0.004038746308581892,-0.00023162673363721247,0.00002997353830257567,-0.000024017658174732635,0.000043444643052796273,-0.00006893439220157033],[0.00032862044341521444,-0.0008275177720907063,-0.00013002205564448187,0.0015388956190012584,-0.0009613296416786959,0.0001977208393976398,-0.00006709685590872218,-0.000037867369649974335,0.00003237545405838905]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9990214505597153, -0.05312170335581828, -0.03078079529022076, 0.003193869958804748, 0.0013328548027283455 ], [ -0.004922558340159136, 0.007763608528069607, 0.049674096001737604, -0.011234693308435094, 0.08426278576003576, -0.04693444210436951, -0.0046747401698950045, 0.0024056775888060948, 0.00012466644829885057 ], [ 0.0004595849813673012, -0.006828916222994818, -0.011072580531885153, -0.01964167359357941, -0.009304656128026568, -0.005511604545101487, 0.0004284295332448408, 0.00045050142157480053, 0.00011191868938841636 ], [ 0.00018500474654638976, -0.00017923493530188183, 0.0019055262610282757, -0.004268943453917821, 0.0009530828511353454, 0.0008846577721431487, -0.00019540266488732923, 0.0000568975254589521, 0.00000770938022683006 ], [ 0.0003739241168893053, 0.0002549391916821744, -0.0027205787812254476, -0.0010337888111198318, 0.0008275237598363717, -0.0002670140930149753, 0.00009276078562208702, -0.00002584155652093964, -0.000013400701289291314 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0727902586143965, 0.008743095872256725, -0.0030864638899056446, -0.001261894672339529 ], [ -0.004018582291377155, 0.011400410552464503, 0.044926826859200325, -0.0691379386759779, -0.1437637805619497, 0.041064146310612754, 0.004996803250712157, -0.0012215457152385516, -0.00005289263607816336 ], [ 0.00012813699117127824, -0.010386100844305739, -0.00603027398932038, -0.0074336357549649595, 0.0068926734479401175, 0.008232614788861073, 0.0011344477730251801, 0.00004303403561083281, -0.00006708723802641812 ], [ 0.00042686261373027577, 0.0005220685127663825, 0.00036035938724828686, 0.004038746308581892, -0.00023162673363721247, 0.00002997353830257567, -0.000024017658174732635, 0.000043444643052796273, -0.00006893439220157033 ], [ 0.00032862044341521444, -0.0008275177720907063, -0.00013002205564448187, 0.0015388956190012584, -0.0009613296416786959, 0.0001977208393976398, -0.00006709685590872218, -0.000037867369649974335, 0.00003237545405838905 ] ]

DLXHZHevre5XCKnRznmVP36

{"aspect_ratio": 9.853041653699073, "major_radius": 1.0, "max_elongation": 5.557149746434731, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05250729563202285, -0.14291632100303164, 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": [[0.7375785911500319, 0.7375788928556026, 0.737587119656712, 0.7376369570477093, 0.7378019168333334, 0.7381996297765848, 0.7389892725567874, 0.7403642266152489, 0.7425416375124366, 0.7457502310442374, 0.7502174881921301, 0.7561570642119243, 0.7637571481110004, 0.7731702921328439, 0.7845050934248606, 0.7978199796548087, 0.8131192354224337, 0.8303513057203669, 0.8494093255058274, 0.8701337498848072, 0.8923168968243395, 0.9157091631126347, 0.940026633950605, 0.9649597765875768, 0.9901828883396968, 1.0153639586982246, 1.0401746036014161, 1.0642997368649114, 1.0874466587946219, 1.109353264687251, 1.1297951057865745, 1.1485910718180585, 1.1656075069535792, 1.1807606194113052, 1.1940170982802023, 1.205392908927713, 1.2149502997895827, 1.2227931176544817, 1.229060594836388, 1.233919838827405, 1.2375573219091658, 1.2401697332867514, 1.2419546177592982, 1.243101280416978, 1.2437824832630469, 1.2441474927288454, 1.2443170505338619, 1.2443808244370151, 1.2443978331779508, 1.244400197647653, 1.2444002637831775], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7945983587937062}

9.853042

1

5.55715

[ [ 0.7375785911500319, 0.7375788928556026, 0.737587119656712, 0.7376369570477093, 0.7378019168333334, 0.7381996297765848, 0.7389892725567874, 0.7403642266152489, 0.7425416375124366, 0.7457502310442374, 0.7502174881921301, 0.7561570642119243, 0.7637571481110004, 0.7731702921328439, 0.7845050934248606, 0.7978199796548087, 0.8131192354224337, 0.8303513057203669, 0.8494093255058274, 0.8701337498848072, 0.8923168968243395, 0.9157091631126347, 0.940026633950605, 0.9649597765875768, 0.9901828883396968, 1.0153639586982246, 1.0401746036014161, 1.0642997368649114, 1.0874466587946219, 1.109353264687251, 1.1297951057865745, 1.1485910718180585, 1.1656075069535792, 1.1807606194113052, 1.1940170982802023, 1.205392908927713, 1.2149502997895827, 1.2227931176544817, 1.229060594836388, 1.233919838827405, 1.2375573219091658, 1.2401697332867514, 1.2419546177592982, 1.243101280416978, 1.2437824832630469, 1.2441474927288454, 1.2443170505338619, 1.2443808244370151, 1.2443978331779508, 1.244400197647653, 1.2444002637831775 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05250729563202285, -0.14291632100303164, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.794598

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

DVsB6tEALiZcmc7ZRAEyXnK

null

false

null

false

Dgps4K3icWfc3bQ72GXXnnk

Dn8fUyhUPGCdZ9ehEwKAzcR

{"qi": 0.0071992580892267155, "vacuum_well": -0.12525599417310193, "aspect_ratio": 10.035885865670974, "max_elongation": 4.777002500843253, "average_triangularity": -0.4520731729287945, "axis_magnetic_mirror_ratio": 0.12913059180167774, "edge_magnetic_mirror_ratio": 0.17037467286243982, "aspect_ratio_over_edge_rotational_transform": 23.475240405909013, "flux_compression_in_regions_of_bad_curvature": 1.1549065464760484, "axis_rotational_transform_over_n_field_periods": 0.20515391961334156, "edge_rotational_transform_over_n_field_periods": 0.21375469840012407, "minimum_normalized_magnetic_gradient_scale_length": 5.3970071816616585}

10.035886

23.47524

-0.689704

0.129131

0.205154

0.170375

0.213755

1.154907

4.777003

5.397007

0.007199

-0.125256

{"r_cos":[[0.0,0.0,0.0,0.0,0.9930004938883161,-0.02195654557107562,-0.07555496219054736,0.0006072981117363364,0.0015421292167572226],[0.0026225757114329983,0.01474417482685801,0.0356387221376333,-0.018622537100389004,0.07613386605035169,-0.059377471381096385,9.028675165285993e-6,0.004989714008230816,-0.00020654350572951903],[-0.000979417270553823,-0.0028232393293809526,-0.006912749275702961,0.002571468377603655,-0.0071382993254152025,0.008629599281343861,-0.006567083562337007,0.004201160145295639,-0.002031493229392473],[0.0009528692532706449,0.0019544252855698578,0.0009015168686097854,-0.0022241421986038514,0.0015428103060079155,-0.0030613658218738935,0.0015754898850841087,0.0008454424558216295,-0.0007585544276220904],[-0.00009517587863775057,-0.00010762062924722922,-0.00016612733303833895,0.00006647726280309841,0.0002215330614233754,-0.0001907439133933481,0.0007232507825852184,-0.00020294014385636633,-0.00006407388121311795]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1325219271960025,0.03388348271680673,0.00042905049105268657,-0.002667582233869467],[0.0009521907230846661,0.0016182407906474969,-0.003056421641673561,-0.10736179257622505,-0.10776142831534102,0.07095572392556712,-0.008361582209711862,-0.00012644588376563575,-0.0009997151839891485],[-0.0007443564575774434,-0.003209136503477956,-0.009186645438866688,0.009423701912894551,-0.010456673327530419,0.012550373962206568,-0.006681373724125724,-0.0008325846873917053,-0.000024625173133785373],[0.00037253065790165225,0.0008226909640169505,-0.0013768649931920856,-0.008967133441866679,0.001941624080295147,0.012002734349773293,-0.008302915900579395,0.0020214157965805623,-0.000377080719438599],[-0.00018064971384490675,-0.0006285403589801385,-0.0006558025461692547,0.00019921079252485576,0.002130478199782127,-0.00006651069778378863,-0.0015302965440664846,0.0007989279209051814,-0.00018252908695152114]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.9930004938883161, -0.02195654557107562, -0.07555496219054736, 0.0006072981117363364, 0.0015421292167572226 ], [ 0.0026225757114329983, 0.01474417482685801, 0.0356387221376333, -0.018622537100389004, 0.07613386605035169, -0.059377471381096385, 0.000009028675165285993, 0.004989714008230816, -0.00020654350572951903 ], [ -0.000979417270553823, -0.0028232393293809526, -0.006912749275702961, 0.002571468377603655, -0.0071382993254152025, 0.008629599281343861, -0.006567083562337007, 0.004201160145295639, -0.002031493229392473 ], [ 0.0009528692532706449, 0.0019544252855698578, 0.0009015168686097854, -0.0022241421986038514, 0.0015428103060079155, -0.0030613658218738935, 0.0015754898850841087, 0.0008454424558216295, -0.0007585544276220904 ], [ -0.00009517587863775057, -0.00010762062924722922, -0.00016612733303833895, 0.00006647726280309841, 0.0002215330614233754, -0.0001907439133933481, 0.0007232507825852184, -0.00020294014385636633, -0.00006407388121311795 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1325219271960025, 0.03388348271680673, 0.00042905049105268657, -0.002667582233869467 ], [ 0.0009521907230846661, 0.0016182407906474969, -0.003056421641673561, -0.10736179257622505, -0.10776142831534102, 0.07095572392556712, -0.008361582209711862, -0.00012644588376563575, -0.0009997151839891485 ], [ -0.0007443564575774434, -0.003209136503477956, -0.009186645438866688, 0.009423701912894551, -0.010456673327530419, 0.012550373962206568, -0.006681373724125724, -0.0008325846873917053, -0.000024625173133785373 ], [ 0.00037253065790165225, 0.0008226909640169505, -0.0013768649931920856, -0.008967133441866679, 0.001941624080295147, 0.012002734349773293, -0.008302915900579395, 0.0020214157965805623, -0.000377080719438599 ], [ -0.00018064971384490675, -0.0006285403589801385, -0.0006558025461692547, 0.00019921079252485576, 0.002130478199782127, -0.00006651069778378863, -0.0015302965440664846, 0.0007989279209051814, -0.00018252908695152114 ] ]

D3eBz7AfV35K2nnnpeWdxkc

{"aspect_ratio": 11.601288774040688, "major_radius": 1.0, "max_elongation": 4.387706181914169, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.15615312911618798, 0.3414411182736591, 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": [[0.8794548020515016, 0.8794548058041071, 0.8794549996089996, 0.8794567604988547, 0.8794645965556641, 0.8794884550964417, 0.8795459547825067, 0.8796642489874009, 0.8798813281763577, 0.8802466451001025, 0.8808210071625764, 0.8816757294828553, 0.8828910822319592, 0.8845540982376985, 0.8867558326166326, 0.8895881860489299, 0.893140417831525, 0.8974954844907951, 0.9027263448971864, 0.9088923738379817, 0.9160360231709062, 0.9241798632743471, 0.9333241277848214, 0.9434448718115926, 0.9544928381769271, 0.9663931079796739, 0.9790455911511361, 0.9923263899007634, 1.0060900432776858, 1.02017263475647, 1.034395717061558, 1.0485709796654847, 1.062505554849624, 1.0760078282569285, 1.0888935898941439, 1.1009923320166648, 1.1121534717920127, 1.1222522497328606, 1.1311950304059166, 1.1389237108458383, 1.1454189257034249, 1.1507017281184322, 1.1548334239415898, 1.157913247543212, 1.1600735949935048, 1.1614725827534726, 1.1622837905991856, 1.1626832014091955, 1.162833620799887, 1.1628673816630388, 1.1628693931696255], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.42670923191316934}

11.601289

1

4.387706

[ [ 0.8794548020515016, 0.8794548058041071, 0.8794549996089996, 0.8794567604988547, 0.8794645965556641, 0.8794884550964417, 0.8795459547825067, 0.8796642489874009, 0.8798813281763577, 0.8802466451001025, 0.8808210071625764, 0.8816757294828553, 0.8828910822319592, 0.8845540982376985, 0.8867558326166326, 0.8895881860489299, 0.893140417831525, 0.8974954844907951, 0.9027263448971864, 0.9088923738379817, 0.9160360231709062, 0.9241798632743471, 0.9333241277848214, 0.9434448718115926, 0.9544928381769271, 0.9663931079796739, 0.9790455911511361, 0.9923263899007634, 1.0060900432776858, 1.02017263475647, 1.034395717061558, 1.0485709796654847, 1.062505554849624, 1.0760078282569285, 1.0888935898941439, 1.1009923320166648, 1.1121534717920127, 1.1222522497328606, 1.1311950304059166, 1.1389237108458383, 1.1454189257034249, 1.1507017281184322, 1.1548334239415898, 1.157913247543212, 1.1600735949935048, 1.1614725827534726, 1.1622837905991856, 1.1626832014091955, 1.162833620799887, 1.1628673816630388, 1.1628693931696255 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.15615312911618798, 0.3414411182736591, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.426709

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

DnprxWk2zQpBoMnPSxY5o8Y

null

false

null

false

D8kAZVRJmDmBg765yd4wUcD

DcHVtzjsekq754CUQ7R3hcE

{"qi": 0.12543889891249618, "vacuum_well": -0.1678782078431074, "aspect_ratio": 10.33165663607747, "max_elongation": 4.228243481821707, "average_triangularity": -0.4886553904327826, "axis_magnetic_mirror_ratio": 0.10864615141129187, "edge_magnetic_mirror_ratio": 0.18146670768345957, "aspect_ratio_over_edge_rotational_transform": 34.88218219501239, "flux_compression_in_regions_of_bad_curvature": 0.7175773750540598, "axis_rotational_transform_over_n_field_periods": 0.1836273339474225, "edge_rotational_transform_over_n_field_periods": 0.07404680546014361, "minimum_normalized_magnetic_gradient_scale_length": 3.8374631405771895}

10.331657

34.882182

-0.790768

0.108646

0.183627

0.181467

0.074047

0.717577

4.228243

3.837463

0.125439

-0.167878

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.06039019401392268,-0.011139981926837008,0.0021557278960677596,0.0010419417934121233],[-0.0005554445384885465,-0.005712287635832564,0.034323062523810725,-0.03299584078044489,0.086012273494801,0.030180231007641892,0.001003367940223411,0.0021212084410965042,0.00025539005698990464],[0.00019578439715293265,0.005332847850177701,-0.019417867735694833,-0.0012412327775959114,0.0021803560155610954,0.012712027994848319,0.00038850207754130214,-0.0005896612452947507,-0.000030095930019976506],[0.0000709399128544537,-0.00009084671770885962,-0.0005413425492019705,-0.004650091292027799,0.002300323180727974,0.002939093437680722,0.0009047723234478182,-0.000015495144105074214,-0.00013698342835895229],[0.0002084569755314311,-0.0004812309502414654,0.00006800067780817233,0.00011574748054908,-0.0007578813132640409,0.0008855316257918204,0.0003969855831031702,0.000046224097338972884,0.00003125406132722659]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06354931769010229,0.013824679805761722,0.001112281474288856,-0.0010485068452906734],[-0.0007959129370294278,-0.008741172617759833,0.03349070822573165,0.02363455413200876,-0.12770980663226267,0.006515023692834609,0.0033611652178186756,-0.0017286124989900867,-0.00029673372575772647],[-0.0013806507966313269,0.009974887482977913,-0.02119863480305563,0.008618415612956305,-0.016683753027239106,-0.008859403924409766,0.0035426179549518464,-0.000011661473763960838,-0.0003079937936574062],[-0.0007477692742474664,0.0014558493111775815,0.002405978324328664,0.0017440705404001616,-0.0023598067809353722,-0.0018565799532092617,0.00006008800973006899,-6.33344065017799e-6,-0.00010816170053215617],[0.00032639778602225046,-0.000993178223800825,0.0006875330978487681,0.0018997929357872261,0.0015656066810703867,-0.00016646579762043972,8.333584206126905e-6,-0.000019667518835385475,-0.00005537852785505288]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.06039019401392268, -0.011139981926837008, 0.0021557278960677596, 0.0010419417934121233 ], [ -0.0005554445384885465, -0.005712287635832564, 0.034323062523810725, -0.03299584078044489, 0.086012273494801, 0.030180231007641892, 0.001003367940223411, 0.0021212084410965042, 0.00025539005698990464 ], [ 0.00019578439715293265, 0.005332847850177701, -0.019417867735694833, -0.0012412327775959114, 0.0021803560155610954, 0.012712027994848319, 0.00038850207754130214, -0.0005896612452947507, -0.000030095930019976506 ], [ 0.0000709399128544537, -0.00009084671770885962, -0.0005413425492019705, -0.004650091292027799, 0.002300323180727974, 0.002939093437680722, 0.0009047723234478182, -0.000015495144105074214, -0.00013698342835895229 ], [ 0.0002084569755314311, -0.0004812309502414654, 0.00006800067780817233, 0.00011574748054908, -0.0007578813132640409, 0.0008855316257918204, 0.0003969855831031702, 0.000046224097338972884, 0.00003125406132722659 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06354931769010229, 0.013824679805761722, 0.001112281474288856, -0.0010485068452906734 ], [ -0.0007959129370294278, -0.008741172617759833, 0.03349070822573165, 0.02363455413200876, -0.12770980663226267, 0.006515023692834609, 0.0033611652178186756, -0.0017286124989900867, -0.00029673372575772647 ], [ -0.0013806507966313269, 0.009974887482977913, -0.02119863480305563, 0.008618415612956305, -0.016683753027239106, -0.008859403924409766, 0.0035426179549518464, -0.000011661473763960838, -0.0003079937936574062 ], [ -0.0007477692742474664, 0.0014558493111775815, 0.002405978324328664, 0.0017440705404001616, -0.0023598067809353722, -0.0018565799532092617, 0.00006008800973006899, -0.00000633344065017799, -0.00010816170053215617 ], [ 0.00032639778602225046, -0.000993178223800825, 0.0006875330978487681, 0.0018997929357872261, 0.0015656066810703867, -0.00016646579762043972, 0.000008333584206126905, -0.000019667518835385475, -0.00005537852785505288 ] ]

D6ca7QxMD2uMVW6bKBivxig

{"aspect_ratio": 10.932317241030619, "major_radius": 1.0, "max_elongation": 4.356271983946307, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.09356730934136345, -0.02111742578837548, 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": [[0.9029727685081798, 0.9029727712353918, 0.9029728853486668, 0.9029738067488052, 0.9029776119263446, 0.9029886373446451, 0.9030143375163309, 0.9030660615161914, 0.9031597077164738, 0.903316228670697, 0.903561966567352, 0.9039288061511972, 0.9044541372416083, 0.9051806233854482, 0.9061557770171353, 0.9074313449214539, 0.9090625109137901, 0.9111069255450461, 0.9136235753618003, 0.9166715068507351, 0.920308422705856, 0.9245891705078808, 0.9295641463242588, 0.9352776381504843, 0.9417661365429988, 0.949056642265854, 0.9571650033139274, 0.9660943163143226, 0.9758334300785146, 0.9863555920210691, 0.9976172813253265, 1.0095572761834093, 1.0220960062451052, 1.0351352456787783, 1.0485582071116808, 1.0622301023585046, 1.0759992425167892, 1.0896987580610018, 1.1031490295184478, 1.1161609319269128, 1.128540012735703, 1.1400917449983332, 1.1506280287384183, 1.159975158694886, 1.167983546336591, 1.1745395980894124, 1.179580353705022, 1.1831118855875122, 1.1852333626473994, 1.1861712692727242, 1.186340469555582], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5613143121214969}

10.932317

1

4.356272

[ [ 0.9029727685081798, 0.9029727712353918, 0.9029728853486668, 0.9029738067488052, 0.9029776119263446, 0.9029886373446451, 0.9030143375163309, 0.9030660615161914, 0.9031597077164738, 0.903316228670697, 0.903561966567352, 0.9039288061511972, 0.9044541372416083, 0.9051806233854482, 0.9061557770171353, 0.9074313449214539, 0.9090625109137901, 0.9111069255450461, 0.9136235753618003, 0.9166715068507351, 0.920308422705856, 0.9245891705078808, 0.9295641463242588, 0.9352776381504843, 0.9417661365429988, 0.949056642265854, 0.9571650033139274, 0.9660943163143226, 0.9758334300785146, 0.9863555920210691, 0.9976172813253265, 1.0095572761834093, 1.0220960062451052, 1.0351352456787783, 1.0485582071116808, 1.0622301023585046, 1.0759992425167892, 1.0896987580610018, 1.1031490295184478, 1.1161609319269128, 1.128540012735703, 1.1400917449983332, 1.1506280287384183, 1.159975158694886, 1.167983546336591, 1.1745395980894124, 1.179580353705022, 1.1831118855875122, 1.1852333626473994, 1.1861712692727242, 1.186340469555582 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.09356730934136345, -0.02111742578837548, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.561314

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

DDSkqX8vwof7sKXKjkskx2t

null

false

null

false

DFYhxX7xEdJARPFEE9jFTGB

DHi2VgbFt7bPFqeWvQmLzBf

{"qi": 0.011808223463599244, "vacuum_well": 0.05676540231284872, "aspect_ratio": 9.6409827477124, "max_elongation": 5.601442686813664, "average_triangularity": 0.0479618018833665, "axis_magnetic_mirror_ratio": 0.2581392391483484, "edge_magnetic_mirror_ratio": 0.3032385079912152, "aspect_ratio_over_edge_rotational_transform": 140.31578385403816, "flux_compression_in_regions_of_bad_curvature": 0.4911622339661005, "axis_rotational_transform_over_n_field_periods": 0.08526189153909128, "edge_rotational_transform_over_n_field_periods": 0.06870918212409602, "minimum_normalized_magnetic_gradient_scale_length": 3.4987973938889803}

9.640983

140.315784

0.215345

0.258139

0.085262

0.303239

0.068709

0.491162

5.601443

3.498797

0.011808

0.056765

{"r_cos":[[0.0,0.0,0.0,0.0,0.9960090441668975,-0.013865374404726946,-0.18574568769474284,-0.0010913520654651301,0.003919716465619199],[0.0015341198146836274,-0.021387623589361845,0.01510254716457015,0.02784877017482208,0.07011599388959869,-0.02836677821938185,0.032855933082148715,-0.016353977951202768,-0.0009711624371532979],[0.0004395905043014295,0.002079802552856638,0.017422202937817953,0.021588110541547596,-0.016061339065155292,-0.018155566497279823,0.0018978857937823794,0.008086269255312216,-0.002161904155241608],[0.0005667656793961409,0.0008564441368606796,-0.0055893468607304195,-0.0035331866728636383,0.008468591184584227,0.0009664092146003098,-0.001304183109519606,-0.000892120270394834,0.0004142601092472999],[0.000028904332582976153,-0.0006198905074803086,0.0013243762854585645,-0.0000464082157858774,-0.002001683295331926,0.0019283850429148526,0.0003012595399187099,-0.0005671718581904279,0.00018077736957343313]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12753897785720208,-0.060083527722496054,-0.011175272497564835,0.01018321864113875],[0.00022827315918830368,-0.0024461730942240923,0.025273442744371717,-0.09148634627261441,-0.0943827518591837,0.08903977719698254,-0.015502182963045015,-0.00506155885930991,-0.00031231092807974586],[0.0007103068636037537,-0.00021378965522953278,0.0030603253638683357,0.0030244840291696142,-0.007352253710589729,-0.002289428339575074,0.006051632932999061,-0.002026991646267111,-0.0001381511297294766],[0.0001261093296623313,-0.00010905092353245534,-0.0010464128890087668,0.0017593374265150194,0.0014268314851475221,-0.0016908799975739453,-0.0014733087764803579,0.000871424884461294,-0.00032696563035643266],[0.00009091871894044467,-0.00009591367354447998,0.0010043772716482667,-0.0011459524820530516,0.0005471732697736385,0.00009783659668138617,-0.00033007682815308604,0.00004203857700212358,0.000023092015957145925]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9960090441668975, -0.013865374404726946, -0.18574568769474284, -0.0010913520654651301, 0.003919716465619199 ], [ 0.0015341198146836274, -0.021387623589361845, 0.01510254716457015, 0.02784877017482208, 0.07011599388959869, -0.02836677821938185, 0.032855933082148715, -0.016353977951202768, -0.0009711624371532979 ], [ 0.0004395905043014295, 0.002079802552856638, 0.017422202937817953, 0.021588110541547596, -0.016061339065155292, -0.018155566497279823, 0.0018978857937823794, 0.008086269255312216, -0.002161904155241608 ], [ 0.0005667656793961409, 0.0008564441368606796, -0.0055893468607304195, -0.0035331866728636383, 0.008468591184584227, 0.0009664092146003098, -0.001304183109519606, -0.000892120270394834, 0.0004142601092472999 ], [ 0.000028904332582976153, -0.0006198905074803086, 0.0013243762854585645, -0.0000464082157858774, -0.002001683295331926, 0.0019283850429148526, 0.0003012595399187099, -0.0005671718581904279, 0.00018077736957343313 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12753897785720208, -0.060083527722496054, -0.011175272497564835, 0.01018321864113875 ], [ 0.00022827315918830368, -0.0024461730942240923, 0.025273442744371717, -0.09148634627261441, -0.0943827518591837, 0.08903977719698254, -0.015502182963045015, -0.00506155885930991, -0.00031231092807974586 ], [ 0.0007103068636037537, -0.00021378965522953278, 0.0030603253638683357, 0.0030244840291696142, -0.007352253710589729, -0.002289428339575074, 0.006051632932999061, -0.002026991646267111, -0.0001381511297294766 ], [ 0.0001261093296623313, -0.00010905092353245534, -0.0010464128890087668, 0.0017593374265150194, 0.0014268314851475221, -0.0016908799975739453, -0.0014733087764803579, 0.000871424884461294, -0.00032696563035643266 ], [ 0.00009091871894044467, -0.00009591367354447998, 0.0010043772716482667, -0.0011459524820530516, 0.0005471732697736385, 0.00009783659668138617, -0.00033007682815308604, 0.00004203857700212358, 0.000023092015957145925 ] ]

DDDCoen54mQPfyb3dMHioT8

{"aspect_ratio": 10.725673471044127, "major_radius": 1.0, "max_elongation": 5.322172708887317, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.45870434043501956, -0.2896442615496788, 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": [[0.8259832970465701, 0.8259833042329112, 0.825983583570992, 0.8259857379668379, 0.8259943474732652, 0.8260186673444079, 0.8260741963809923, 0.8261840217165279, 0.8263798827540831, 0.8267029181602468, 0.8272040741586196, 0.827944162987148, 0.8289935687569651, 0.8304316048569196, 0.832345532946234, 0.8348292587566488, 0.837981724577791, 0.841905022560423, 0.8467022569405758, 0.8524751870388226, 0.8593216864831671, 0.8673330575910952, 0.8765912432696722, 0.8871659821917441, 0.8991119564192931, 0.9124659841099863, 0.9272443135002569, 0.943440078052181, 0.9610209765325624, 0.9799272459207734, 1.0000699994894418, 1.0213300072591833, 1.0435570014099076, 1.0665695952856247, 1.0901559115545423, 1.114075023148486, 1.1380593201742517, 1.1618179275859617, 1.185041312787795, 1.2074072406267802, 1.228588257166568, 1.248260915961653, 1.266117005851998, 1.2818771055407483, 1.2953068921248587, 1.3062367975369762, 1.314585902023227, 1.3203915328822569, 1.3238473505941784, 1.3253564544347338, 1.3256235722631127], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.14139117352005556}

10.725673

1

5.322173

[ [ 0.8259832970465701, 0.8259833042329112, 0.825983583570992, 0.8259857379668379, 0.8259943474732652, 0.8260186673444079, 0.8260741963809923, 0.8261840217165279, 0.8263798827540831, 0.8267029181602468, 0.8272040741586196, 0.827944162987148, 0.8289935687569651, 0.8304316048569196, 0.832345532946234, 0.8348292587566488, 0.837981724577791, 0.841905022560423, 0.8467022569405758, 0.8524751870388226, 0.8593216864831671, 0.8673330575910952, 0.8765912432696722, 0.8871659821917441, 0.8991119564192931, 0.9124659841099863, 0.9272443135002569, 0.943440078052181, 0.9610209765325624, 0.9799272459207734, 1.0000699994894418, 1.0213300072591833, 1.0435570014099076, 1.0665695952856247, 1.0901559115545423, 1.114075023148486, 1.1380593201742517, 1.1618179275859617, 1.185041312787795, 1.2074072406267802, 1.228588257166568, 1.248260915961653, 1.266117005851998, 1.2818771055407483, 1.2953068921248587, 1.3062367975369762, 1.314585902023227, 1.3203915328822569, 1.3238473505941784, 1.3253564544347338, 1.3256235722631127 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.45870434043501956, -0.2896442615496788, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.141391

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

DexsvuqhxCGF795eo5pJRxC

null

false

null

false

D77xbYxZZESGyRZBNnpZudR

DdgE7Wu67bS79eteRjorDeZ

{"qi": 0.017541189693625468, "vacuum_well": -0.07263570479343015, "aspect_ratio": 7.699864333937771, "max_elongation": 5.68808246470304, "average_triangularity": -0.03970117441683241, "axis_magnetic_mirror_ratio": 0.18449839889872888, "edge_magnetic_mirror_ratio": 0.2395786206080647, "aspect_ratio_over_edge_rotational_transform": 11.453976038610497, "flux_compression_in_regions_of_bad_curvature": 2.050554335587504, "axis_rotational_transform_over_n_field_periods": 0.13330141996955538, "edge_rotational_transform_over_n_field_periods": 0.22408126540461012, "minimum_normalized_magnetic_gradient_scale_length": 3.938583627234116}

7.699864

11.453976

-0.079682

0.184498

0.133301

0.239579

0.224081

2.050554

5.688082

3.938584

0.017541

-0.072636

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.026512736249888876,-0.017503717249118214,0.0007025563760595412,-0.0014720239063627802],[0.0023496548298819744,0.005506481555557243,-0.00258555927554009,-0.11426140507932649,0.1450045619818658,0.026232244598108453,0.022039759549721177,0.00508153944361406,0.0010179526571287238],[0.00159655071272413,-0.0044528636639573505,0.0038416896936197637,-0.0014097873524289654,-0.0341891704145399,0.01608340884491393,-0.005201100732917032,0.002127524284871916,-0.00026859714150851864],[-0.0007705161116118069,0.002239452856557067,0.004175702760421293,0.0020889452918674283,-0.0029495390434738735,-0.0018637650056860173,0.0001833742954400865,-0.0009986027871107415,-0.00008886401085050769],[0.00026900836583405505,-0.00001214690101298578,-0.0006194622481206091,-0.000031864367526740316,0.0008227363066919055,-0.0005659403772252406,0.00009652601867198149,-0.0000677354080367322,0.000048958080782408636]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.6423247806828178,0.019658238317653724,-0.020664291909681845,0.0024521945835956627],[-0.0000897285554279305,0.007836155458843258,-0.007500938817914055,-0.021723203038148797,-0.11390424791051595,-0.017301148935223973,-0.027588304462400473,-0.0030257130125254405,-0.0018351732819433387],[0.0019898950263782574,-0.0006934308336946015,-0.006345040676160985,-0.00010042463355139386,0.01166227860288187,-0.003776237451106991,0.002513686335752792,-0.00099490412797934,0.00023727507701180005],[-0.0003113913513860064,0.0007822633311322278,0.004433050577230627,0.004656791774356937,0.002155629991107177,0.0036350319710076197,0.00012035339280557032,0.0007318111033194643,-0.00010244702329703963],[0.00017718396314202596,0.00034878328940715023,-0.0000909248844165327,-0.00015446772138356756,0.0002893441209590442,0.00011192542144932571,0.00024642645944178464,-0.00011136471694938808,8.816614588277275e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.026512736249888876, -0.017503717249118214, 0.0007025563760595412, -0.0014720239063627802 ], [ 0.0023496548298819744, 0.005506481555557243, -0.00258555927554009, -0.11426140507932649, 0.1450045619818658, 0.026232244598108453, 0.022039759549721177, 0.00508153944361406, 0.0010179526571287238 ], [ 0.00159655071272413, -0.0044528636639573505, 0.0038416896936197637, -0.0014097873524289654, -0.0341891704145399, 0.01608340884491393, -0.005201100732917032, 0.002127524284871916, -0.00026859714150851864 ], [ -0.0007705161116118069, 0.002239452856557067, 0.004175702760421293, 0.0020889452918674283, -0.0029495390434738735, -0.0018637650056860173, 0.0001833742954400865, -0.0009986027871107415, -0.00008886401085050769 ], [ 0.00026900836583405505, -0.00001214690101298578, -0.0006194622481206091, -0.000031864367526740316, 0.0008227363066919055, -0.0005659403772252406, 0.00009652601867198149, -0.0000677354080367322, 0.000048958080782408636 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.6423247806828178, 0.019658238317653724, -0.020664291909681845, 0.0024521945835956627 ], [ -0.0000897285554279305, 0.007836155458843258, -0.007500938817914055, -0.021723203038148797, -0.11390424791051595, -0.017301148935223973, -0.027588304462400473, -0.0030257130125254405, -0.0018351732819433387 ], [ 0.0019898950263782574, -0.0006934308336946015, -0.006345040676160985, -0.00010042463355139386, 0.01166227860288187, -0.003776237451106991, 0.002513686335752792, -0.00099490412797934, 0.00023727507701180005 ], [ -0.0003113913513860064, 0.0007822633311322278, 0.004433050577230627, 0.004656791774356937, 0.002155629991107177, 0.0036350319710076197, 0.00012035339280557032, 0.0007318111033194643, -0.00010244702329703963 ], [ 0.00017718396314202596, 0.00034878328940715023, -0.0000909248844165327, -0.00015446772138356756, 0.0002893441209590442, 0.00011192542144932571, 0.00024642645944178464, -0.00011136471694938808, 0.000008816614588277275 ] ]

D7GxhfqHSnwgSgM2KkFf6Vz

{"aspect_ratio": 7.623205236283524, "major_radius": 1.0, "max_elongation": 4.878610375989405, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.14426900247487495, 0.1773698094817829, 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": [[0.8335258355309186, 0.833527398384585, 0.8335471213883575, 0.8336226273073329, 0.8338066358670854, 0.8341624855270878, 0.8347606458074317, 0.835675798650833, 0.8369843221816041, 0.8387620902371659, 0.84108253584056, 0.8440149447043604, 0.8476229551637663, 0.8519632473525679, 0.8570844086776283, 0.8630259655904293, 0.8698175737789964, 0.8774783604909617, 0.8860164139210718, 0.8954284155645326, 0.9056994122246784, 0.9168027250201141, 0.9286999932987217, 0.9413413518602757, 0.9546657403362142, 0.9686013439906422, 0.9830661656046846, 0.9979687284992038, 1.013208911150603, 1.0286789142732167, 1.0442643616932898, 1.0598455368396282, 1.0752987572442838, 1.0904978901080815, 1.105316012773522, 1.1196272229065412, 1.1333086043815834, 1.1462423563813608, 1.1583180951957273, 1.1694353408332774, 1.1795062041565456, 1.1884582953214622, 1.1962378816933619, 1.202813334626242, 1.2081789223389108, 1.212359036248476, 1.2154129929468624, 1.2174406642798168, 1.2185894436632347, 1.2190637996508782, 1.2191421784912868], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4319178188330213}

7.623205

1

4.87861

[ [ 0.8335258355309186, 0.833527398384585, 0.8335471213883575, 0.8336226273073329, 0.8338066358670854, 0.8341624855270878, 0.8347606458074317, 0.835675798650833, 0.8369843221816041, 0.8387620902371659, 0.84108253584056, 0.8440149447043604, 0.8476229551637663, 0.8519632473525679, 0.8570844086776283, 0.8630259655904293, 0.8698175737789964, 0.8774783604909617, 0.8860164139210718, 0.8954284155645326, 0.9056994122246784, 0.9168027250201141, 0.9286999932987217, 0.9413413518602757, 0.9546657403362142, 0.9686013439906422, 0.9830661656046846, 0.9979687284992038, 1.013208911150603, 1.0286789142732167, 1.0442643616932898, 1.0598455368396282, 1.0752987572442838, 1.0904978901080815, 1.105316012773522, 1.1196272229065412, 1.1333086043815834, 1.1462423563813608, 1.1583180951957273, 1.1694353408332774, 1.1795062041565456, 1.1884582953214622, 1.1962378816933619, 1.202813334626242, 1.2081789223389108, 1.212359036248476, 1.2154129929468624, 1.2174406642798168, 1.2185894436632347, 1.2190637996508782, 1.2191421784912868 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.14426900247487495, 0.1773698094817829, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.431918

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

DZNdFnpZ6pFn4Eyq9Di8iMD

null

false

null

false

D79Maiwvxnr3JpzoqRhd77b

DD8BrvcjmyyPz7uatQicnok

{"qi": 0.0018934190239498242, "vacuum_well": -0.06128881578060675, "aspect_ratio": 9.163734203973396, "max_elongation": 5.974366517178012, "average_triangularity": -0.24969242393642352, "axis_magnetic_mirror_ratio": 0.24675480921462517, "edge_magnetic_mirror_ratio": 0.3178248623972262, "aspect_ratio_over_edge_rotational_transform": 9.895613263079259, "flux_compression_in_regions_of_bad_curvature": 1.1716611280408453, "axis_rotational_transform_over_n_field_periods": 0.23436598700415331, "edge_rotational_transform_over_n_field_periods": 0.18520801006165996, "minimum_normalized_magnetic_gradient_scale_length": 7.367880252311243}

9.163734

9.895613

-0.107459

0.246755

0.234366

0.317825

0.185208

1.171661

5.974367

7.36788

0.001893

-0.061289

{"r_cos":[[0.0,0.0,0.0,0.0,0.995070366246037,-0.0058243971138298885,-0.010498420760820873,0.0005904738428608881,-0.00014945647024930788],[0.0002441750107822109,-0.001549805487955156,-0.019022142684695265,-0.0636371797540963,0.1700798546188279,-0.015337940911257272,-0.004614754024756358,-0.000491640728211924,-0.00047117293948026],[0.00033040893469431194,0.004610133694671334,0.006783027501708727,0.01114280790372657,-0.017237675563255055,0.009096766233241817,0.000200578505569204,-0.0005927076077639794,-0.0002143790000793101],[-0.00013781203512768382,-0.000752343513232792,0.0007292349315179035,0.002304821533502796,0.003076232692367249,0.00045905533457243236,0.0001378046415197908,0.0000655388153214825,-0.00023790299082316452],[0.00015607809540594446,0.00014088238779390002,-0.00017662226546015218,-0.00013309551249404347,0.0006161454796162288,-0.00025388967229210586,0.0000809062498590605,-0.00005170037770361189,-0.000016001230843537724]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1271229855493637,0.0045147385657264665,0.0004658805643225055,0.0005135853049086803],[-0.0007481141948717631,-0.0015161753286609308,-0.006723491919360118,-0.06694436305370731,-0.09757084318244368,0.03678856117355318,-0.003660718357943355,0.0029362544291483958,4.359803001209583e-6],[-0.00012939487874772155,0.0009581102318071757,0.009358387309276062,-0.00634921002436517,-0.020653153564375165,0.005162900186780713,-0.00010063204061280025,0.0010373740194568174,-0.0002346401321380471],[-0.0006972481120903542,-0.0010596128087116243,-0.002074690531803446,0.006355385378011299,-0.0027049403204144284,-0.002503091403102859,0.000867307562449069,0.00015417388956464717,0.00008062291938561151],[0.0002132798296727574,-0.00004966434446185191,-0.0002997830262358321,0.00017781158490144677,-0.0011747950146937954,0.001249615065148207,-0.0008658435861278791,0.0003544639873603975,-0.00004274767055256821]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.995070366246037, -0.0058243971138298885, -0.010498420760820873, 0.0005904738428608881, -0.00014945647024930788 ], [ 0.0002441750107822109, -0.001549805487955156, -0.019022142684695265, -0.0636371797540963, 0.1700798546188279, -0.015337940911257272, -0.004614754024756358, -0.000491640728211924, -0.00047117293948026 ], [ 0.00033040893469431194, 0.004610133694671334, 0.006783027501708727, 0.01114280790372657, -0.017237675563255055, 0.009096766233241817, 0.000200578505569204, -0.0005927076077639794, -0.0002143790000793101 ], [ -0.00013781203512768382, -0.000752343513232792, 0.0007292349315179035, 0.002304821533502796, 0.003076232692367249, 0.00045905533457243236, 0.0001378046415197908, 0.0000655388153214825, -0.00023790299082316452 ], [ 0.00015607809540594446, 0.00014088238779390002, -0.00017662226546015218, -0.00013309551249404347, 0.0006161454796162288, -0.00025388967229210586, 0.0000809062498590605, -0.00005170037770361189, -0.000016001230843537724 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1271229855493637, 0.0045147385657264665, 0.0004658805643225055, 0.0005135853049086803 ], [ -0.0007481141948717631, -0.0015161753286609308, -0.006723491919360118, -0.06694436305370731, -0.09757084318244368, 0.03678856117355318, -0.003660718357943355, 0.0029362544291483958, 0.000004359803001209583 ], [ -0.00012939487874772155, 0.0009581102318071757, 0.009358387309276062, -0.00634921002436517, -0.020653153564375165, 0.005162900186780713, -0.00010063204061280025, 0.0010373740194568174, -0.0002346401321380471 ], [ -0.0006972481120903542, -0.0010596128087116243, -0.002074690531803446, 0.006355385378011299, -0.0027049403204144284, -0.002503091403102859, 0.000867307562449069, 0.00015417388956464717, 0.00008062291938561151 ], [ 0.0002132798296727574, -0.00004966434446185191, -0.0002997830262358321, 0.00017781158490144677, -0.0011747950146937954, 0.001249615065148207, -0.0008658435861278791, 0.0003544639873603975, -0.00004274767055256821 ] ]

DgwX9HPMbvbpV3AvUCSVA56

{"aspect_ratio": 8.93643291253845, "major_radius": 1.0, "max_elongation": 5.682769830260353, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2578778013712832, 0.3871176496536425, 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": [[0.7309612844668048, 0.7309621310208716, 0.7309789564720112, 0.7310632075489533, 0.7313082587293277, 0.7318457307395575, 0.7328380353746629, 0.7344691372504949, 0.7369346374969289, 0.7404318853447066, 0.7451505960958192, 0.7512643065461299, 0.7589228951972374, 0.7682463173791454, 0.7793196455895441, 0.7921894576703781, 0.8068615766378799, 0.823300133948391, 0.8414279012916019, 0.8611278136569602, 0.8822455877006683, 0.9045933238236938, 0.9279539674633198, 0.9520864946067388, 0.9767316782320805, 1.0016182861025784, 1.0264695559598915, 1.0510097915957037, 1.0749709224703445, 1.0980988704650099, 1.120159569997953, 1.140944492128833, 1.1602755294706606, 1.1780091068073544, 1.1940393923939527, 1.208300497155827, 1.220767563616135, 1.2314566636500084, 1.2404234444652196, 1.2477604860458484, 1.2535933613531647, 1.2580754238086698, 1.2613813863461876, 1.2636998046150325, 1.265224636818211, 1.2661461291429286, 1.2666413773380834, 1.2668650577448326, 1.2669410387169382, 1.2669559601534117, 1.2669566913533084], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1259410738796651}

8.936433

1

5.68277

[ [ 0.7309612844668048, 0.7309621310208716, 0.7309789564720112, 0.7310632075489533, 0.7313082587293277, 0.7318457307395575, 0.7328380353746629, 0.7344691372504949, 0.7369346374969289, 0.7404318853447066, 0.7451505960958192, 0.7512643065461299, 0.7589228951972374, 0.7682463173791454, 0.7793196455895441, 0.7921894576703781, 0.8068615766378799, 0.823300133948391, 0.8414279012916019, 0.8611278136569602, 0.8822455877006683, 0.9045933238236938, 0.9279539674633198, 0.9520864946067388, 0.9767316782320805, 1.0016182861025784, 1.0264695559598915, 1.0510097915957037, 1.0749709224703445, 1.0980988704650099, 1.120159569997953, 1.140944492128833, 1.1602755294706606, 1.1780091068073544, 1.1940393923939527, 1.208300497155827, 1.220767563616135, 1.2314566636500084, 1.2404234444652196, 1.2477604860458484, 1.2535933613531647, 1.2580754238086698, 1.2613813863461876, 1.2636998046150325, 1.265224636818211, 1.2661461291429286, 1.2666413773380834, 1.2668650577448326, 1.2669410387169382, 1.2669559601534117, 1.2669566913533084 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2578778013712832, 0.3871176496536425, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.125941

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

DnKmVnByQkCypRMq9ppuaHn

null

false

null

false

DYcY2xapf4ozR53nUM7r8AC

DMRp3gCAZY9KxZZn43PTppv

{"qi": 0.03827735211100118, "vacuum_well": -0.04685536409730318, "aspect_ratio": 7.3615865117528845, "max_elongation": 6.449774611482085, "average_triangularity": 0.3079798049189266, "axis_magnetic_mirror_ratio": 0.15220287670943297, "edge_magnetic_mirror_ratio": 0.35614560323437344, "aspect_ratio_over_edge_rotational_transform": 7.023409263817228, "flux_compression_in_regions_of_bad_curvature": 2.394724308681079, "axis_rotational_transform_over_n_field_periods": 0.2306936473719762, "edge_rotational_transform_over_n_field_periods": 0.20963000261647452, "minimum_normalized_magnetic_gradient_scale_length": 3.5405216731551907}

7.361587

7.023409

0.314406

0.152203

0.230694

0.356146

0.20963

2.394724

6.449775

3.540522

0.038277

-0.046855

{"r_cos":[[0.0,0.0,0.0,0.0,0.9968432350628441,0.04780369483732282,0.013127190091868284,-0.0022408716833308695,0.0017090074618784717],[-0.0011039673713495177,-0.008489431262714599,-0.04839610582082571,-0.02921407572330327,0.1968781343063553,-0.048030386229265434,0.025215888983434354,-0.005919547441817734,0.001315889225531298],[0.0014613624224472878,0.0013579309882080365,0.002923861539944288,0.028085984171447913,0.012724839722305824,-0.0011981892780546996,-0.0010845782005345246,-0.0007998667980748699,-0.0005235110576363234],[0.000865085838800096,-0.0003014566845645467,-0.0003326928281966713,0.0012491189879016034,-0.0013247156037657288,-0.002280912976524366,-0.00039682174629798164,-0.0001577778636710935,-0.00009230475137683524],[-0.0003952644490542788,-0.00027931587213768415,-0.000023220984239111742,0.00045621496113889236,-0.00044883130909339347,-0.00016706134509524885,-0.00006309657170391759,0.00007393858857382594,0.000010913545050525556]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.44923426637960306,0.01269064633392989,-0.017217370231832303,0.002387313141873652],[-0.00630835766092446,-0.013852505686392411,-0.06370390392648859,-0.04126836032160834,-0.11318454005793407,-0.008391738518313839,-0.014423995687295386,-0.0017975965457372785,-0.00029304650326321706],[0.002224006070508681,0.009423885545037803,0.0023927475404085276,-0.013011104632371942,0.005584973820015507,0.005712967381239743,0.0006533314979107151,0.002051205852393122,0.0002666785294144333],[-0.0002205143465708641,-0.00018155484797521268,-0.0018703982415495318,-0.0019925553760357785,0.0025835205314826267,0.00138296933239736,0.0005559464286676126,0.00039984288150926524,-0.00008904848853191595],[0.000133590406775202,-0.00012439648824117815,-0.0001335371350239323,0.000621554120218525,0.0007223576911225471,-0.000030544599362583406,0.00020554122835270808,-1.7462517205442228e-6,-0.00007455033484882131]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9968432350628441, 0.04780369483732282, 0.013127190091868284, -0.0022408716833308695, 0.0017090074618784717 ], [ -0.0011039673713495177, -0.008489431262714599, -0.04839610582082571, -0.02921407572330327, 0.1968781343063553, -0.048030386229265434, 0.025215888983434354, -0.005919547441817734, 0.001315889225531298 ], [ 0.0014613624224472878, 0.0013579309882080365, 0.002923861539944288, 0.028085984171447913, 0.012724839722305824, -0.0011981892780546996, -0.0010845782005345246, -0.0007998667980748699, -0.0005235110576363234 ], [ 0.000865085838800096, -0.0003014566845645467, -0.0003326928281966713, 0.0012491189879016034, -0.0013247156037657288, -0.002280912976524366, -0.00039682174629798164, -0.0001577778636710935, -0.00009230475137683524 ], [ -0.0003952644490542788, -0.00027931587213768415, -0.000023220984239111742, 0.00045621496113889236, -0.00044883130909339347, -0.00016706134509524885, -0.00006309657170391759, 0.00007393858857382594, 0.000010913545050525556 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.44923426637960306, 0.01269064633392989, -0.017217370231832303, 0.002387313141873652 ], [ -0.00630835766092446, -0.013852505686392411, -0.06370390392648859, -0.04126836032160834, -0.11318454005793407, -0.008391738518313839, -0.014423995687295386, -0.0017975965457372785, -0.00029304650326321706 ], [ 0.002224006070508681, 0.009423885545037803, 0.0023927475404085276, -0.013011104632371942, 0.005584973820015507, 0.005712967381239743, 0.0006533314979107151, 0.002051205852393122, 0.0002666785294144333 ], [ -0.0002205143465708641, -0.00018155484797521268, -0.0018703982415495318, -0.0019925553760357785, 0.0025835205314826267, 0.00138296933239736, 0.0005559464286676126, 0.00039984288150926524, -0.00008904848853191595 ], [ 0.000133590406775202, -0.00012439648824117815, -0.0001335371350239323, 0.000621554120218525, 0.0007223576911225471, -0.000030544599362583406, 0.00020554122835270808, -0.0000017462517205442228, -0.00007455033484882131 ] ]

DmYEDDnYBBkvBUoztHnMyBe

{"aspect_ratio": 7.2377530584269225, "major_radius": 1.0, "max_elongation": 4.344914975981384, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.023378881147476806, 0.6617869901186909, 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": [[0.8498960392668862, 0.8499045428361139, 0.8499943644409276, 0.8502971158193554, 0.8509633844794974, 0.8521428816936621, 0.8539726339741244, 0.8565695727396236, 0.8600260317446194, 0.8644073304579292, 0.8697509163312666, 0.8760666947943276, 0.8833382687145738, 0.8915248694038213, 0.9005638031204701, 0.9103732676247134, 0.9208554166981683, 0.9318995690027838, 0.9433854726950548, 0.9551865497826105, 0.9671730549512265, 0.9792150929453878, 0.9911854468715128, 1.0029621772415809, 1.014430958359538, 1.025487124906055, 1.036037407402378, 1.0460013407135427, 1.0553123349521751, 1.0639184031222348, 1.071782544645086, 1.0788827885799492, 1.0852119049251245, 1.090776796900978, 1.0955975916055505, 1.0997064509344345, 1.103146129206507, 1.1059683085789096, 1.1082317481182948, 1.110000287381692, 1.1113407506267008, 1.1123208034190917, 1.1130068195764196, 1.1134618232793887, 1.1137435790989358, 1.1139029121007227, 1.1139823518986596, 1.1140152099931155, 1.114025221915468, 1.114026921699608, 1.1140269884292036], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1976145645633027}

7.237753

1

4.344915

[ [ 0.8498960392668862, 0.8499045428361139, 0.8499943644409276, 0.8502971158193554, 0.8509633844794974, 0.8521428816936621, 0.8539726339741244, 0.8565695727396236, 0.8600260317446194, 0.8644073304579292, 0.8697509163312666, 0.8760666947943276, 0.8833382687145738, 0.8915248694038213, 0.9005638031204701, 0.9103732676247134, 0.9208554166981683, 0.9318995690027838, 0.9433854726950548, 0.9551865497826105, 0.9671730549512265, 0.9792150929453878, 0.9911854468715128, 1.0029621772415809, 1.014430958359538, 1.025487124906055, 1.036037407402378, 1.0460013407135427, 1.0553123349521751, 1.0639184031222348, 1.071782544645086, 1.0788827885799492, 1.0852119049251245, 1.090776796900978, 1.0955975916055505, 1.0997064509344345, 1.103146129206507, 1.1059683085789096, 1.1082317481182948, 1.110000287381692, 1.1113407506267008, 1.1123208034190917, 1.1130068195764196, 1.1134618232793887, 1.1137435790989358, 1.1139029121007227, 1.1139823518986596, 1.1140152099931155, 1.114025221915468, 1.114026921699608, 1.1140269884292036 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.023378881147476806, 0.6617869901186909, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.197615

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

DGCZYCKgMQH5R6keYfcFTDW

null

false

null

false

DPDSwepW5GX5GnHs4pV35tj

DQhTtzMqXbDE2GkRCwYenxk

{"qi": 0.0014763339144630674, "vacuum_well": -0.111007321603731, "aspect_ratio": 8.178336132041366, "max_elongation": 6.700069059484867, "average_triangularity": -0.30029463908413595, "axis_magnetic_mirror_ratio": 0.3452721799231302, "edge_magnetic_mirror_ratio": 0.35821944580329335, "aspect_ratio_over_edge_rotational_transform": 15.827431177115503, "flux_compression_in_regions_of_bad_curvature": 1.5808209985750872, "axis_rotational_transform_over_n_field_periods": 0.17963238439981774, "edge_rotational_transform_over_n_field_periods": 0.17223970292509674, "minimum_normalized_magnetic_gradient_scale_length": 5.092473236249415}

8.178336

15.827431

-0.475865

0.345272

0.179632

0.358219

0.17224

1.580821

6.700069

5.092473

0.001476

-0.111007

{"r_cos":[[0.0,0.0,0.0,0.0,0.9974937206906325,0.022834047461304005,-0.03359410011721941,0.000329527254466356,-0.001610684052256847],[-0.0016059440081225094,-0.007723769595037596,-0.03576551043355286,-0.04815817960585664,0.1777405870677935,-0.0049622498143767554,-0.020514909294903672,0.0030624123259718633,-0.001066398270672727],[0.001243667759514735,0.0039693079159831435,-0.004725001823676262,0.0023115068065273966,-0.026437895982552112,0.01516053769779282,-0.004276037017143146,0.0019416977937000818,0.00010731814938276464],[0.00034041054837590494,0.0016098641160395303,0.004285240622913798,-0.009618319000177858,0.0015728413517422696,0.0031997377377140025,-0.00005371006056309165,-0.0006147391599680583,0.00020433211561072157],[-0.00047253650203857533,0.00022243079493171125,0.00010258305077013392,0.0019237973730170353,-0.0008111473656001039,-0.0010435619106670298,0.000407613596717185,0.00025338590840080717,-0.00012680588781425155]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.38283710214990296,-0.006618946961662209,0.007211395796359185,-0.001460554584821019],[-0.0007815445085852121,-0.015219869041350899,-0.027159806356349847,-0.07382473729532792,-0.10785278555765511,0.0551269664745908,-0.023238598244789944,0.012406587784732467,-0.0006304731166703019],[0.0007188775386884687,0.000832777942656132,-0.0026526858821212377,0.007597555252843205,-0.0031916598773256556,-0.0058318262713363545,-0.003986739421030809,0.0011944633806650173,-0.0005214769689392255],[0.0007359310734740873,0.000667933349832306,0.0032259261033460635,0.0006256037409379943,0.0016451461867093304,-0.0004198519350056922,0.0003120291434839744,-0.00043271366314942203,3.3422886845511815e-6],[0.00005097363664421342,-0.00017065684682335876,0.00016605472390016042,-0.0008345294595088127,0.0004855590013759752,-0.00027195812191567047,0.000024726284473558947,-0.000020386841246455273,0.000024209993383461073]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9974937206906325, 0.022834047461304005, -0.03359410011721941, 0.000329527254466356, -0.001610684052256847 ], [ -0.0016059440081225094, -0.007723769595037596, -0.03576551043355286, -0.04815817960585664, 0.1777405870677935, -0.0049622498143767554, -0.020514909294903672, 0.0030624123259718633, -0.001066398270672727 ], [ 0.001243667759514735, 0.0039693079159831435, -0.004725001823676262, 0.0023115068065273966, -0.026437895982552112, 0.01516053769779282, -0.004276037017143146, 0.0019416977937000818, 0.00010731814938276464 ], [ 0.00034041054837590494, 0.0016098641160395303, 0.004285240622913798, -0.009618319000177858, 0.0015728413517422696, 0.0031997377377140025, -0.00005371006056309165, -0.0006147391599680583, 0.00020433211561072157 ], [ -0.00047253650203857533, 0.00022243079493171125, 0.00010258305077013392, 0.0019237973730170353, -0.0008111473656001039, -0.0010435619106670298, 0.000407613596717185, 0.00025338590840080717, -0.00012680588781425155 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.38283710214990296, -0.006618946961662209, 0.007211395796359185, -0.001460554584821019 ], [ -0.0007815445085852121, -0.015219869041350899, -0.027159806356349847, -0.07382473729532792, -0.10785278555765511, 0.0551269664745908, -0.023238598244789944, 0.012406587784732467, -0.0006304731166703019 ], [ 0.0007188775386884687, 0.000832777942656132, -0.0026526858821212377, 0.007597555252843205, -0.0031916598773256556, -0.0058318262713363545, -0.003986739421030809, 0.0011944633806650173, -0.0005214769689392255 ], [ 0.0007359310734740873, 0.000667933349832306, 0.0032259261033460635, 0.0006256037409379943, 0.0016451461867093304, -0.0004198519350056922, 0.0003120291434839744, -0.00043271366314942203, 0.0000033422886845511815 ], [ 0.00005097363664421342, -0.00017065684682335876, 0.00016605472390016042, -0.0008345294595088127, 0.0004855590013759752, -0.00027195812191567047, 0.000024726284473558947, -0.000020386841246455273, 0.000024209993383461073 ] ]

DFikrTgTFi9XFJe2s5bbmaA

{"aspect_ratio": 8.139008283148398, "major_radius": 1.0, "max_elongation": 6.418268305558252, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.05263454702167137, 0.18729540404180403, 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": [[0.6908336644567563, 0.6908350470025135, 0.6908561031166223, 0.6909465507207152, 0.6911851263201209, 0.6916746783289034, 0.6925370928255825, 0.693908283679945, 0.6959333506506206, 0.6987619640117885, 0.7025440131375089, 0.7074255448933856, 0.7135450106565957, 0.7210298361903386, 0.7299933254181368, 0.7405319068378614, 0.7527227295780531, 0.7666216147451244, 0.7822613666223173, 0.799650447382625, 0.8187720182153628, 0.8395833491020938, 0.8620155988845213, 0.8859739667235437, 0.9113382155380055, 0.9379635675195046, 0.9656819713332706, 0.9943037401225902, 1.0236195589233863, 1.053402859553352, 1.0834125604517075, 1.113396168293636, 1.1430932374660452, 1.172239182640861, 1.2005694386821668, 1.227823960925378, 1.25375205740285, 1.27811754276591, 1.3007042013307086, 1.3213215436501373, 1.3398108369730695, 1.3560513843986084, 1.3699670196472353, 1.3815327727357198, 1.3907816438673608, 1.3978113934585426, 1.4027912045719255, 1.4059679741276478, 1.407671768000525, 1.4083193683454298, 1.4084122377733912], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.45948971307649716}

8.139008

1

6.418268

[ [ 0.6908336644567563, 0.6908350470025135, 0.6908561031166223, 0.6909465507207152, 0.6911851263201209, 0.6916746783289034, 0.6925370928255825, 0.693908283679945, 0.6959333506506206, 0.6987619640117885, 0.7025440131375089, 0.7074255448933856, 0.7135450106565957, 0.7210298361903386, 0.7299933254181368, 0.7405319068378614, 0.7527227295780531, 0.7666216147451244, 0.7822613666223173, 0.799650447382625, 0.8187720182153628, 0.8395833491020938, 0.8620155988845213, 0.8859739667235437, 0.9113382155380055, 0.9379635675195046, 0.9656819713332706, 0.9943037401225902, 1.0236195589233863, 1.053402859553352, 1.0834125604517075, 1.113396168293636, 1.1430932374660452, 1.172239182640861, 1.2005694386821668, 1.227823960925378, 1.25375205740285, 1.27811754276591, 1.3007042013307086, 1.3213215436501373, 1.3398108369730695, 1.3560513843986084, 1.3699670196472353, 1.3815327727357198, 1.3907816438673608, 1.3978113934585426, 1.4027912045719255, 1.4059679741276478, 1.407671768000525, 1.4083193683454298, 1.4084122377733912 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.05263454702167137, 0.18729540404180403, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.45949

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

D9X2zHwwNRJBUrJEJoMhGTM

null

false

null

false

D2kmVAZiXHJgogSAWTFiSTD

DSgd5xGrzjLwcvXZWoUzXtG

{"qi": 0.02588397008486426, "vacuum_well": -0.10917478424998917, "aspect_ratio": 7.235244107117469, "max_elongation": 6.829744494409145, "average_triangularity": -0.2617277153725252, "axis_magnetic_mirror_ratio": 0.6210637481105318, "edge_magnetic_mirror_ratio": 0.8610430748085145, "aspect_ratio_over_edge_rotational_transform": 6.438302968761108, "flux_compression_in_regions_of_bad_curvature": 1.9585191044454586, "axis_rotational_transform_over_n_field_periods": 0.2382274968683952, "edge_rotational_transform_over_n_field_periods": 0.22475624841586828, "minimum_normalized_magnetic_gradient_scale_length": 2.6455811623487295}

7.235244

6.438303

-0.368437

0.621064

0.238227

0.861043

0.224756

1.958519

6.829744

2.645581

0.025884

-0.109175

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1473161543207969,-0.034211990449942616,-0.007170092731260548,0.001470440086672302],[-0.00034794868187273655,0.007384937415189138,0.03518803823164653,0.0509756235772561,0.08894038388231944,-0.0344613445271157,0.008108939270370654,0.0009798964615746215,-0.00023428319547946717],[0.00021057990984905668,-0.004064483433209766,-0.013818845089279197,0.0006870633389372589,-0.008303515080160792,-0.0019247737523133755,-0.0008118284272381638,-0.0006766251330281531,0.0000841571905048679],[-0.0001099542340423307,0.0006562211389497122,0.0016730373101969355,0.0015297453284438037,0.000326409750835908,-0.000548893979885942,0.0002639522019675266,0.00005362365787689704,-0.000019822159693516448],[0.00007918492867098239,-0.00025083476522682615,-0.00045131478279441097,0.000945491546680884,-0.001306507777720933,0.000555622619777175,-0.0002995530512417224,0.00008379146518541346,-0.000029741588103634055]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.08212594300968686,0.02579267974607422,0.004677223400232119,-0.0003380419351764596],[0.0013848451973338806,0.01146413826105246,0.05570523885294944,0.03433605207506829,-0.2124829909838633,0.06078382957463763,-0.017129333576278747,0.0014179159468558676,-0.0007326448116510941],[-0.0007192846861680609,-0.008697073042722749,-0.016298698655183144,-0.0025836744152626344,0.014238591776756003,-0.012052344089775208,0.00929110258702873,-0.0015683212230549735,0.0004277418425920584],[0.00013015885580889362,-0.0007565690649890891,-0.002397419787675963,-0.006086223784395179,0.0019117920964767901,-0.001528826416520092,0.00019097754712317288,-0.00003641596763050332,-0.00003708814812027962],[0.000177204193216228,-0.0004928743301743375,-0.0007103358627745863,0.0010456409754169905,9.964524698640767e-6,0.00008606153532779052,0.00006625281086713216,-0.0000450185407281143,0.000025204534834022594]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.1473161543207969, -0.034211990449942616, -0.007170092731260548, 0.001470440086672302 ], [ -0.00034794868187273655, 0.007384937415189138, 0.03518803823164653, 0.0509756235772561, 0.08894038388231944, -0.0344613445271157, 0.008108939270370654, 0.0009798964615746215, -0.00023428319547946717 ], [ 0.00021057990984905668, -0.004064483433209766, -0.013818845089279197, 0.0006870633389372589, -0.008303515080160792, -0.0019247737523133755, -0.0008118284272381638, -0.0006766251330281531, 0.0000841571905048679 ], [ -0.0001099542340423307, 0.0006562211389497122, 0.0016730373101969355, 0.0015297453284438037, 0.000326409750835908, -0.000548893979885942, 0.0002639522019675266, 0.00005362365787689704, -0.000019822159693516448 ], [ 0.00007918492867098239, -0.00025083476522682615, -0.00045131478279441097, 0.000945491546680884, -0.001306507777720933, 0.000555622619777175, -0.0002995530512417224, 0.00008379146518541346, -0.000029741588103634055 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.08212594300968686, 0.02579267974607422, 0.004677223400232119, -0.0003380419351764596 ], [ 0.0013848451973338806, 0.01146413826105246, 0.05570523885294944, 0.03433605207506829, -0.2124829909838633, 0.06078382957463763, -0.017129333576278747, 0.0014179159468558676, -0.0007326448116510941 ], [ -0.0007192846861680609, -0.008697073042722749, -0.016298698655183144, -0.0025836744152626344, 0.014238591776756003, -0.012052344089775208, 0.00929110258702873, -0.0015683212230549735, 0.0004277418425920584 ], [ 0.00013015885580889362, -0.0007565690649890891, -0.002397419787675963, -0.006086223784395179, 0.0019117920964767901, -0.001528826416520092, 0.00019097754712317288, -0.00003641596763050332, -0.00003708814812027962 ], [ 0.000177204193216228, -0.0004928743301743375, -0.0007103358627745863, 0.0010456409754169905, 0.000009964524698640767, 0.00008606153532779052, 0.00006625281086713216, -0.0000450185407281143, 0.000025204534834022594 ] ]

DjX8gR8HN6gyeHQRQT5KEHA

{"aspect_ratio": 6.025884467837088, "major_radius": 1.0, "max_elongation": 6.129020481936626, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2649309735129566, -0.1290170431571348, 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": [[0.6433640698812821, 0.643493211312524, 0.6443487233083787, 0.6465173298864951, 0.6504403336722737, 0.6564282633291262, 0.6646760979981742, 0.6752780456598245, 0.6882415971320385, 0.7035007498695777, 0.7209283588186225, 0.7403476003237095, 0.7615425501696909, 0.7842678856182279, 0.8082577268346818, 0.8332336368360738, 0.8589118017610071, 0.8850094152730085, 0.9112502924953363, 0.9373697401820253, 0.9631187109488158, 0.98826727037977, 1.0126074067329878, 1.035955213822183, 1.058152478472563, 1.079067704757151, 1.0985966080279441, 1.1166621125776859, 1.1332138876141467, 1.148227457110881, 1.1617029200280382, 1.1736633183863172, 1.1841526917404614, 1.193233857751893, 1.2009859598222317, 1.2075018241439706, 1.2128851700804932, 1.2172477195420237, 1.2207062530251278, 1.2233796622949813, 1.2253860523986986, 1.2268399489258208, 1.22784967035272, 1.2285149301801335, 1.2289247397982905, 1.2291556912448849, 1.2292707103882607, 1.2293183876952682, 1.2293330200827546, 1.2293355443912823, 1.2293356469201386], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.182086142863102}

6.025884

1

6.12902

[ [ 0.6433640698812821, 0.643493211312524, 0.6443487233083787, 0.6465173298864951, 0.6504403336722737, 0.6564282633291262, 0.6646760979981742, 0.6752780456598245, 0.6882415971320385, 0.7035007498695777, 0.7209283588186225, 0.7403476003237095, 0.7615425501696909, 0.7842678856182279, 0.8082577268346818, 0.8332336368360738, 0.8589118017610071, 0.8850094152730085, 0.9112502924953363, 0.9373697401820253, 0.9631187109488158, 0.98826727037977, 1.0126074067329878, 1.035955213822183, 1.058152478472563, 1.079067704757151, 1.0985966080279441, 1.1166621125776859, 1.1332138876141467, 1.148227457110881, 1.1617029200280382, 1.1736633183863172, 1.1841526917404614, 1.193233857751893, 1.2009859598222317, 1.2075018241439706, 1.2128851700804932, 1.2172477195420237, 1.2207062530251278, 1.2233796622949813, 1.2253860523986986, 1.2268399489258208, 1.22784967035272, 1.2285149301801335, 1.2289247397982905, 1.2291556912448849, 1.2292707103882607, 1.2293183876952682, 1.2293330200827546, 1.2293355443912823, 1.2293356469201386 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2649309735129566, -0.1290170431571348, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.182086

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

DStQC9tGDg6HyYEGafp8Xx6

null

false

null

false

DEkRbPcPw3j9UWoJUCW52tU

DDawF2f3HYGxoVDQpvfJgsA

{"qi": 0.017434764273417662, "vacuum_well": -0.10912907683377998, "aspect_ratio": 10.182932728793958, "max_elongation": 4.512594864062763, "average_triangularity": -0.42153362336919675, "axis_magnetic_mirror_ratio": 0.0898985873428099, "edge_magnetic_mirror_ratio": 0.1560943577301291, "aspect_ratio_over_edge_rotational_transform": 22.27439578023617, "flux_compression_in_regions_of_bad_curvature": 1.064853621684045, "axis_rotational_transform_over_n_field_periods": 0.2434757956440053, "edge_rotational_transform_over_n_field_periods": 0.2285793255462661, "minimum_normalized_magnetic_gradient_scale_length": 6.120289284474229}

10.182933

22.274396

-0.644226

0.089899

0.243476

0.156094

0.228579

1.064854

4.512595

6.120289

0.017435

-0.109129

{"r_cos":[[0.0,0.0,0.0,0.0,0.999210980492423,-0.09935484647638587,-0.06444000747881809,0.010794169634601317,0.002818705033251174],[0.0017676538224276365,0.00128644433992921,0.0340199405223581,-0.01553125418614447,0.08067925471006296,-0.04927683831024675,0.008549123283221277,-0.002700067632595343,0.0015245710893203946],[-0.0012331981416652707,-0.0016071153273442837,-0.009865107429771244,0.006821332611605703,-0.0029719420248865117,0.0006005702235712903,-0.0030913320698526124,0.001570367947031256,-0.0002511324324982698],[-0.0008195621085529362,0.0017034741636804056,0.0005158050307803963,-0.001160212365745175,0.005058250760852752,-0.0051836829794228954,0.001087994661361395,0.00046488732142460035,-0.00014023833733441815],[0.00020895647509789925,0.00024589631458304614,-0.000982549236031968,0.0005696598180219394,0.0003884573209995386,-0.000642698260754331,0.0005368856758133484,0.00009525416898882668,-0.000053640875818052963]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14451454376752856,0.04386361780314346,-0.001207238668864028,-0.0010469095147783505],[0.0009827812549628406,-0.004594495064792361,0.014406032892234227,-0.09565966585408057,-0.1153751151233189,0.05390232192412257,-0.0049511578975464975,0.0037307272753553888,-0.0013926486668893903],[-0.0016213157308504426,-0.0022483742150425185,-0.010968857738953754,0.0046680238632467565,-0.009208406156579531,0.005059071947824278,0.003762908379557524,-0.0026674290379859614,0.0001910154523130093],[-0.0012932607743206814,0.0022632390880080477,0.003539948310382647,-0.009263746994339296,-0.004936502917795072,0.010557978775596806,-0.00197663245444008,-0.0005550024225472014,0.00003254615076277048],[0.00021904358017636933,0.0002405414721210605,-0.002185417431869066,-0.0023437822819564955,0.0013534509425110037,0.001616705316243366,-0.00041389208931154407,-0.00010467431505216928,-7.015993459056746e-7]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 0.999210980492423, -0.09935484647638587, -0.06444000747881809, 0.010794169634601317, 0.002818705033251174 ], [ 0.0017676538224276365, 0.00128644433992921, 0.0340199405223581, -0.01553125418614447, 0.08067925471006296, -0.04927683831024675, 0.008549123283221277, -0.002700067632595343, 0.0015245710893203946 ], [ -0.0012331981416652707, -0.0016071153273442837, -0.009865107429771244, 0.006821332611605703, -0.0029719420248865117, 0.0006005702235712903, -0.0030913320698526124, 0.001570367947031256, -0.0002511324324982698 ], [ -0.0008195621085529362, 0.0017034741636804056, 0.0005158050307803963, -0.001160212365745175, 0.005058250760852752, -0.0051836829794228954, 0.001087994661361395, 0.00046488732142460035, -0.00014023833733441815 ], [ 0.00020895647509789925, 0.00024589631458304614, -0.000982549236031968, 0.0005696598180219394, 0.0003884573209995386, -0.000642698260754331, 0.0005368856758133484, 0.00009525416898882668, -0.000053640875818052963 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14451454376752856, 0.04386361780314346, -0.001207238668864028, -0.0010469095147783505 ], [ 0.0009827812549628406, -0.004594495064792361, 0.014406032892234227, -0.09565966585408057, -0.1153751151233189, 0.05390232192412257, -0.0049511578975464975, 0.0037307272753553888, -0.0013926486668893903 ], [ -0.0016213157308504426, -0.0022483742150425185, -0.010968857738953754, 0.0046680238632467565, -0.009208406156579531, 0.005059071947824278, 0.003762908379557524, -0.0026674290379859614, 0.0001910154523130093 ], [ -0.0012932607743206814, 0.0022632390880080477, 0.003539948310382647, -0.009263746994339296, -0.004936502917795072, 0.010557978775596806, -0.00197663245444008, -0.0005550024225472014, 0.00003254615076277048 ], [ 0.00021904358017636933, 0.0002405414721210605, -0.002185417431869066, -0.0023437822819564955, 0.0013534509425110037, 0.001616705316243366, -0.00041389208931154407, -0.00010467431505216928, -7.015993459056746e-7 ] ]

D6geo4RiXL6qmzCup6abhbo

{"aspect_ratio": 10.458468798258107, "major_radius": 1.0, "max_elongation": 4.072072364002293, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1667562988609699, 0.20914908676704963, 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": [[0.8945438067169598, 0.8945438451432303, 0.8945451514771395, 0.8945542502495778, 0.8945875657882908, 0.8946744878561376, 0.8948586748224008, 0.8951977377431736, 0.8957615556591917, 0.8966295120727852, 0.8978869507602878, 0.899621139843447, 0.9019170133437191, 0.9048529332519514, 0.9084966849642295, 0.9129018864535074, 0.918104957973841, 0.9241227653308479, 0.9309510164949739, 0.9385634591373433, 0.946911895982805, 0.955927006076251, 0.9655199334631881, 0.9755845806651219, 0.9860005229195337, 0.9966364406584868, 1.007353952300119, 1.018011717283732, 1.0284696705343985, 1.0385932443240382, 1.0482574319159625, 1.0573505495396693, 1.065777559231163, 1.0734628249691696, 1.0803521884062797, 1.086414268392181, 1.0916409104580873, 1.0960467385089796, 1.0996677911707897, 1.1025592595638591, 1.1047923817016652, 1.1064505911980174, 1.107625064423498, 1.1084098605483712, 1.1088969028333677, 1.1091711067487675, 1.1093060204759775, 1.1093604051492332, 1.1093762441000152, 1.10937872866913, 1.109378812705108], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5038017826456935}

10.458469

1

4.072072

[ [ 0.8945438067169598, 0.8945438451432303, 0.8945451514771395, 0.8945542502495778, 0.8945875657882908, 0.8946744878561376, 0.8948586748224008, 0.8951977377431736, 0.8957615556591917, 0.8966295120727852, 0.8978869507602878, 0.899621139843447, 0.9019170133437191, 0.9048529332519514, 0.9084966849642295, 0.9129018864535074, 0.918104957973841, 0.9241227653308479, 0.9309510164949739, 0.9385634591373433, 0.946911895982805, 0.955927006076251, 0.9655199334631881, 0.9755845806651219, 0.9860005229195337, 0.9966364406584868, 1.007353952300119, 1.018011717283732, 1.0284696705343985, 1.0385932443240382, 1.0482574319159625, 1.0573505495396693, 1.065777559231163, 1.0734628249691696, 1.0803521884062797, 1.086414268392181, 1.0916409104580873, 1.0960467385089796, 1.0996677911707897, 1.1025592595638591, 1.1047923817016652, 1.1064505911980174, 1.107625064423498, 1.1084098605483712, 1.1088969028333677, 1.1091711067487675, 1.1093060204759775, 1.1093604051492332, 1.1093762441000152, 1.10937872866913, 1.109378812705108 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1667562988609699, 0.20914908676704963, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.503802

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

DGheCAPxymEC6kMgEVcaU6W

null

false

null

false

D8N2RRZEieaV7DJKhqzCB47

DMLqBYD5C2SnXAGeeUjoYgM

{"qi": 0.004187231179085722, "vacuum_well": -0.1410162053043792, "aspect_ratio": 9.294937615374232, "max_elongation": 4.281361506937789, "average_triangularity": -0.6093268787014083, "axis_magnetic_mirror_ratio": 0.3975570375409401, "edge_magnetic_mirror_ratio": 0.4243345710844566, "aspect_ratio_over_edge_rotational_transform": -28.644893726309483, "flux_compression_in_regions_of_bad_curvature": 1.165530315743067, "axis_rotational_transform_over_n_field_periods": -0.20776928653172239, "edge_rotational_transform_over_n_field_periods": -0.16224423284972966, "minimum_normalized_magnetic_gradient_scale_length": 4.395048854444472}

9.294938

-28.644894

-1.003597

0.397557

-0.207769

0.424335

-0.162244

1.16553

4.281362

4.395049

0.004187

-0.141016

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.03638851721728855,-0.047206811259495766,0.006374407840002728,-0.0011034667737284687],[-0.00019454420082017543,0.000835637509442638,0.019666639402830494,-0.0014173676598585238,-0.08116291567655343,0.012227792649444947,-0.04129647926380495,-0.006054233394888968,0.0007384655565420616],[-0.0006504844917781964,1.9423247217054736e-6,-0.005839235927855077,0.0035534561117408934,-0.031241431509005473,0.001351716488838269,-0.010174970078531626,-0.003435437435313682,0.0006591029858690516],[0.0005166545011116395,-0.00011231777032147394,0.00012295332881762143,0.002339449856356906,-0.003952377124982136,0.007470739104173141,0.0021582524096543966,-0.0014770571651786576,-0.00009036881535520706],[0.00003297151172085278,0.0002678629527815982,-0.00026996560780976535,0.00006245048589144787,0.0002220829005085429,-0.00002994438082798011,0.00039848060610775523,0.00027579220372418766,0.000026202332616890642]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07821850685746777,-0.03882238512848162,-0.00004173537265169703,0.0017592343602033083],[0.00008776638999657847,-0.0006394138342967349,-0.005256306201961207,-0.02247086899571189,0.17567127199931054,-0.016281631354639056,-0.038535297171031546,-0.0031973307092659073,0.00018678552802597507],[0.00033667372831243825,0.0006439870634995383,0.004267264930186939,0.0027264232018173458,-0.014282964893785803,0.007098821825274352,-0.01857164384069728,-0.0026563696951893943,0.0005464004540840696],[-0.0004176715808173033,-0.0005220081261600761,0.0015903952336593268,-0.0011832367865121135,-0.0022334959778953305,0.005310706300669014,-0.005750693946736434,-0.0015408756562815867,0.00023374347474570977],[0.00008673582665713736,-0.00024528632429991846,-1.350582470009676e-6,0.0007459293774076611,-0.001095505172248121,0.0008066820590747735,0.0006287859943276991,-0.0006082822434077453,-0.0002225326668160248]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.03638851721728855, -0.047206811259495766, 0.006374407840002728, -0.0011034667737284687 ], [ -0.00019454420082017543, 0.000835637509442638, 0.019666639402830494, -0.0014173676598585238, -0.08116291567655343, 0.012227792649444947, -0.04129647926380495, -0.006054233394888968, 0.0007384655565420616 ], [ -0.0006504844917781964, 0.0000019423247217054736, -0.005839235927855077, 0.0035534561117408934, -0.031241431509005473, 0.001351716488838269, -0.010174970078531626, -0.003435437435313682, 0.0006591029858690516 ], [ 0.0005166545011116395, -0.00011231777032147394, 0.00012295332881762143, 0.002339449856356906, -0.003952377124982136, 0.007470739104173141, 0.0021582524096543966, -0.0014770571651786576, -0.00009036881535520706 ], [ 0.00003297151172085278, 0.0002678629527815982, -0.00026996560780976535, 0.00006245048589144787, 0.0002220829005085429, -0.00002994438082798011, 0.00039848060610775523, 0.00027579220372418766, 0.000026202332616890642 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07821850685746777, -0.03882238512848162, -0.00004173537265169703, 0.0017592343602033083 ], [ 0.00008776638999657847, -0.0006394138342967349, -0.005256306201961207, -0.02247086899571189, 0.17567127199931054, -0.016281631354639056, -0.038535297171031546, -0.0031973307092659073, 0.00018678552802597507 ], [ 0.00033667372831243825, 0.0006439870634995383, 0.004267264930186939, 0.0027264232018173458, -0.014282964893785803, 0.007098821825274352, -0.01857164384069728, -0.0026563696951893943, 0.0005464004540840696 ], [ -0.0004176715808173033, -0.0005220081261600761, 0.0015903952336593268, -0.0011832367865121135, -0.0022334959778953305, 0.005310706300669014, -0.005750693946736434, -0.0015408756562815867, 0.00023374347474570977 ], [ 0.00008673582665713736, -0.00024528632429991846, -0.000001350582470009676, 0.0007459293774076611, -0.001095505172248121, 0.0008066820590747735, 0.0006287859943276991, -0.0006082822434077453, -0.0002225326668160248 ] ]

DBsc7yMs7X7abXBXr6d9dLX

{"aspect_ratio": 11.807180322943172, "major_radius": 1.0, "max_elongation": 4.0, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.0852672874791303, -0.22443217478496724, 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": [[0.6380730597057698, 0.6380730699712406, 0.6380736366447229, 0.6380789867061988, 0.6381034044501016, 0.6381790763474617, 0.6383637951242122, 0.6387473940851698, 0.6394561513027464, 0.6406547021807314, 0.6425452458170486, 0.6453640346402147, 0.6493753037047462, 0.6548629298790185, 0.6621202151202553, 0.6714382647415682, 0.6830934833305513, 0.697334739849147, 0.7143707613514038, 0.7343583035194027, 0.7573916175917882, 0.7834936889572373, 0.812609664399678, 0.8446028144022936, 0.8792532957433677, 0.9162598895733411, 0.9552447930112304, 0.9957614398533059, 1.037305220127192, 1.0793268609124358, 1.1212481241477343, 1.1624793732434928, 1.2024384615562314, 1.240570304685149, 1.2763664178782195, 1.3093836326302655, 1.3392611562270793, 1.3657351084121898, 1.3886496650095137, 1.4079639645201172, 1.4237539968270734, 1.4362088011482816, 1.4456204634943632, 1.4523676357563797, 1.4568926182185584, 1.459672482897785, 1.4611853111504889, 1.4618734522869072, 1.462106929698119, 1.462152071052558, 1.4621541861159142], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.46005000622351877}

11.80718

1

4

[ [ 0.6380730597057698, 0.6380730699712406, 0.6380736366447229, 0.6380789867061988, 0.6381034044501016, 0.6381790763474617, 0.6383637951242122, 0.6387473940851698, 0.6394561513027464, 0.6406547021807314, 0.6425452458170486, 0.6453640346402147, 0.6493753037047462, 0.6548629298790185, 0.6621202151202553, 0.6714382647415682, 0.6830934833305513, 0.697334739849147, 0.7143707613514038, 0.7343583035194027, 0.7573916175917882, 0.7834936889572373, 0.812609664399678, 0.8446028144022936, 0.8792532957433677, 0.9162598895733411, 0.9552447930112304, 0.9957614398533059, 1.037305220127192, 1.0793268609124358, 1.1212481241477343, 1.1624793732434928, 1.2024384615562314, 1.240570304685149, 1.2763664178782195, 1.3093836326302655, 1.3392611562270793, 1.3657351084121898, 1.3886496650095137, 1.4079639645201172, 1.4237539968270734, 1.4362088011482816, 1.4456204634943632, 1.4523676357563797, 1.4568926182185584, 1.459672482897785, 1.4611853111504889, 1.4618734522869072, 1.462106929698119, 1.462152071052558, 1.4621541861159142 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.0852672874791303, -0.22443217478496724, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.46005

DoFu34JLU5kMujUkxxXaqbs

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

null

4

0.03

10

3

true

1

null

0.2

1

null

0

aspect_ratio

upper_bound

1

elongation

upper_bound

1

4

1

omnigenity

1

rotational_transform

target

1

200

lsq-auglag

3

null

DkRCh84CmftXi9QzWnQHTAC

null

false

null

false

DGhXfB2t8nmANYLYM3MCZeW

DnymvQRm2JjDyEJafmxGGAF

{"qi": 0.0023028611264705847, "vacuum_well": -0.16945885605925476, "aspect_ratio": 9.605797950539671, "max_elongation": 7.160027185726702, "average_triangularity": -0.5750384886684974, "axis_magnetic_mirror_ratio": 0.30719622122534096, "edge_magnetic_mirror_ratio": 0.39337432736947253, "aspect_ratio_over_edge_rotational_transform": 15.768345751981208, "flux_compression_in_regions_of_bad_curvature": 1.6029894054360259, "axis_rotational_transform_over_n_field_periods": 0.14122951182199164, "edge_rotational_transform_over_n_field_periods": 0.20306078396191843, "minimum_normalized_magnetic_gradient_scale_length": 3.8954498848620984}

9.605798

15.768346

-0.796691

0.307196

0.14123

0.393374

0.203061

1.602989

7.160027

3.89545

0.002303

-0.169459

{"r_cos":[[0.0,0.0,0.0,0.0,0.9984168252502693,-0.056595354561682236,-0.02149571594870691,0.008096106242441128,-0.001628067540481307],[0.00033974556822953387,-0.01106492898276323,-0.020231358078757866,-0.05339375090821262,0.1392528367226373,0.00534834578107414,0.0028190106842378975,-0.007114468175125125,0.0004898992442874162],[-0.0024508319011381295,-0.0040277573719796275,-0.011508970070091058,0.0003010196939497783,-0.01385316452486827,0.011788039042245485,0.0015961908934537875,0.0009385579687153024,-0.0007481246208915828],[0.00029809791819254564,-0.00024859313777844926,0.003923198890033501,-0.005741259559896239,0.0009848503250958294,0.0008790104512095909,-0.0015695190774892734,0.00030432040270988217,0.00017150488330115526],[0.0003427615226690439,-0.00016744142534539088,-0.0000490934709871214,0.0005330194440960846,-0.0006522548319583227,0.00019117829310671703,0.00010951816733581953,-0.00024343463581698535,-0.000060390817916198105]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.14469378203095845,0.027674513240157142,-0.0031100811452731657,0.0005495750855246047],[-0.0006717923670856115,-0.006667814068706373,0.01595266234507153,-0.09996744388414547,-0.12435409185824882,0.0727134150742928,-0.01088627520386694,0.001325727836242423,-0.00014669341983402278],[-0.0007328993623333514,0.0017103383655634997,-0.01694019446081704,0.001122993524904547,-0.024411198070793637,-0.01197487434970201,0.007144138335762135,-0.00012131461679628828,-0.0002035794545902578],[0.0012746798556914998,0.0025382987207036036,0.002904635849828162,0.005380571448857114,-0.004369614301146641,0.0013118602481913036,-0.0015039751587127923,0.0010218789168068183,-0.00044400843703899014],[-0.0001875333696724163,0.0002772311927562521,0.0006946928644343199,-0.000418700582976889,0.0006085746562122531,3.6726530964577753e-6,0.0002391818390974487,0.00009539638526321115,0.000010007500142226693]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9984168252502693, -0.056595354561682236, -0.02149571594870691, 0.008096106242441128, -0.001628067540481307 ], [ 0.00033974556822953387, -0.01106492898276323, -0.020231358078757866, -0.05339375090821262, 0.1392528367226373, 0.00534834578107414, 0.0028190106842378975, -0.007114468175125125, 0.0004898992442874162 ], [ -0.0024508319011381295, -0.0040277573719796275, -0.011508970070091058, 0.0003010196939497783, -0.01385316452486827, 0.011788039042245485, 0.0015961908934537875, 0.0009385579687153024, -0.0007481246208915828 ], [ 0.00029809791819254564, -0.00024859313777844926, 0.003923198890033501, -0.005741259559896239, 0.0009848503250958294, 0.0008790104512095909, -0.0015695190774892734, 0.00030432040270988217, 0.00017150488330115526 ], [ 0.0003427615226690439, -0.00016744142534539088, -0.0000490934709871214, 0.0005330194440960846, -0.0006522548319583227, 0.00019117829310671703, 0.00010951816733581953, -0.00024343463581698535, -0.000060390817916198105 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.14469378203095845, 0.027674513240157142, -0.0031100811452731657, 0.0005495750855246047 ], [ -0.0006717923670856115, -0.006667814068706373, 0.01595266234507153, -0.09996744388414547, -0.12435409185824882, 0.0727134150742928, -0.01088627520386694, 0.001325727836242423, -0.00014669341983402278 ], [ -0.0007328993623333514, 0.0017103383655634997, -0.01694019446081704, 0.001122993524904547, -0.024411198070793637, -0.01197487434970201, 0.007144138335762135, -0.00012131461679628828, -0.0002035794545902578 ], [ 0.0012746798556914998, 0.0025382987207036036, 0.002904635849828162, 0.005380571448857114, -0.004369614301146641, 0.0013118602481913036, -0.0015039751587127923, 0.0010218789168068183, -0.00044400843703899014 ], [ -0.0001875333696724163, 0.0002772311927562521, 0.0006946928644343199, -0.000418700582976889, 0.0006085746562122531, 0.0000036726530964577753, 0.0002391818390974487, 0.00009539638526321115, 0.000010007500142226693 ] ]

DC92HkXatDe9S4T9ns5iUQA

{"aspect_ratio": 9.70171972813084, "major_radius": 1.0, "max_elongation": 6.468489631882553, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.012487864485328968, -0.303859718619969, 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": [[0.7181576386531994, 0.7181577077860615, 0.7181595731629913, 0.7181710407285603, 0.7182100477910318, 0.7183074132903814, 0.7185085692643469, 0.7188744410175342, 0.7194815919489667, 0.7204217250741757, 0.7218006197845495, 0.7237365739114384, 0.7263584154664945, 0.7298031444286226, 0.7342132620584448, 0.73973384310487, 0.7465094047176284, 0.754680624761871, 0.7643809614592029, 0.7757332257961232, 0.788846157907943, 0.8038110586400627, 0.8206985276960751, 0.8395553601992517, 0.8604016541241829, 0.8832281819097153, 0.9079940806618143, 0.9346249167233427, 0.9630111820652476, 0.9930072819916265, 1.0244310761176596, 1.0570640375646894, 1.090652098940911, 1.124907258100526, 1.1595100221181727, 1.1941127746816855, 1.2283441606198613, 1.261814592152105, 1.294122995567072, 1.3248649357529925, 1.3536422814014522, 1.3800746091459377, 1.4038125959982388, 1.4245537260927468, 1.442060758357533, 1.4561836031773123, 1.4668856192639446, 1.47427606677704, 1.4786521246444126, 1.4805587330232313, 1.4808977043767202], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4216883639057757}

9.70172

1

6.46849

[ [ 0.7181576386531994, 0.7181577077860615, 0.7181595731629913, 0.7181710407285603, 0.7182100477910318, 0.7183074132903814, 0.7185085692643469, 0.7188744410175342, 0.7194815919489667, 0.7204217250741757, 0.7218006197845495, 0.7237365739114384, 0.7263584154664945, 0.7298031444286226, 0.7342132620584448, 0.73973384310487, 0.7465094047176284, 0.754680624761871, 0.7643809614592029, 0.7757332257961232, 0.788846157907943, 0.8038110586400627, 0.8206985276960751, 0.8395553601992517, 0.8604016541241829, 0.8832281819097153, 0.9079940806618143, 0.9346249167233427, 0.9630111820652476, 0.9930072819916265, 1.0244310761176596, 1.0570640375646894, 1.090652098940911, 1.124907258100526, 1.1595100221181727, 1.1941127746816855, 1.2283441606198613, 1.261814592152105, 1.294122995567072, 1.3248649357529925, 1.3536422814014522, 1.3800746091459377, 1.4038125959982388, 1.4245537260927468, 1.442060758357533, 1.4561836031773123, 1.4668856192639446, 1.47427606677704, 1.4786521246444126, 1.4805587330232313, 1.4808977043767202 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.012487864485328968, -0.303859718619969, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.421688

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

DjLQ7uk8ZxRLG5S9pXgvAYC

null

false

null

false

DPag5efXcCotUaxZ5YNi4Y8

D7BeJXXEfu4A7JkwAf7NPN8

{"qi": 0.04716745995177281, "vacuum_well": -0.0838414962117832, "aspect_ratio": 9.201825602304629, "max_elongation": 5.690478164562077, "average_triangularity": -0.3003590012094718, "axis_magnetic_mirror_ratio": 0.3066469321703934, "edge_magnetic_mirror_ratio": 0.4366575235290853, "aspect_ratio_over_edge_rotational_transform": 14.152834341717003, "flux_compression_in_regions_of_bad_curvature": 1.2861175638231115, "axis_rotational_transform_over_n_field_periods": 0.12734685404370552, "edge_rotational_transform_over_n_field_periods": 0.13003509233738794, "minimum_normalized_magnetic_gradient_scale_length": 7.301003891950747}

9.201826

14.152834

-0.547666

0.306647

0.127347

0.436658

0.130035

1.286118

5.690478

7.301004

0.047167

-0.083841

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1319469060809952,0.016084290103714302,0.0008302920835128102,0.0003635730207249524],[0.0005227249111355687,0.0020060182768966875,-0.020383322706137033,-0.06651135612701235,0.0840112142619572,0.036094495115667084,0.0077137546273467915,-0.0020788340353846634,-0.0008847008955862672],[0.0004869232291755014,-0.0016991954086458335,-0.007087799291165429,0.01172201507182629,-0.006791827786890366,0.0008094252152568877,0.0008173633354622931,-0.00010429498282282052,-0.00036394946213880316],[-0.0005495108653550324,-0.000353582563819611,0.0028421546171458344,-0.0024268164389902648,0.0019348803702930247,0.0010410826058589308,0.0003896154045418365,0.00003430585156339233,0.00009271248098356608],[0.00008000472502882013,0.0005207102599944888,-0.000951360923129856,0.0009248074259264518,0.00027111140473771046,0.00027468769109566943,-0.00024015688331310018,-0.00007174748300227217,0.00005673927893326948]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.006413199369752859,-0.01581349356378605,-0.0029288554537749683,-0.00004467263535329855],[-0.00020663621137922148,0.00013640844410676268,-0.004829616219586293,-0.024191990116023833,-0.15590163650224084,-0.01088285858137364,0.0024476933522820134,0.000816060266788123,0.00007500583339963914],[0.00026988203220270105,-0.000264615548918984,0.00015412738080327107,-0.0002120502121362635,-0.024090450260726103,-0.011147233849509877,0.0003479505811581294,0.0012767539833087183,3.3035365841930316e-6],[0.00011559502678962309,-0.001128663077796497,0.002999841205680527,0.0003597659903825589,-0.0026693132068752886,-0.0037343115698801324,-0.0007193898871771566,0.0000825319343272389,0.00003539568349709204],[0.00016776023685344873,0.000411691758030794,-0.0004953868371024086,-0.00028672305592979347,-0.0008477048326111242,-0.001150682800236121,-0.0003203793472044866,0.000039826786708350883,-6.105443795543117e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.1319469060809952, 0.016084290103714302, 0.0008302920835128102, 0.0003635730207249524 ], [ 0.0005227249111355687, 0.0020060182768966875, -0.020383322706137033, -0.06651135612701235, 0.0840112142619572, 0.036094495115667084, 0.0077137546273467915, -0.0020788340353846634, -0.0008847008955862672 ], [ 0.0004869232291755014, -0.0016991954086458335, -0.007087799291165429, 0.01172201507182629, -0.006791827786890366, 0.0008094252152568877, 0.0008173633354622931, -0.00010429498282282052, -0.00036394946213880316 ], [ -0.0005495108653550324, -0.000353582563819611, 0.0028421546171458344, -0.0024268164389902648, 0.0019348803702930247, 0.0010410826058589308, 0.0003896154045418365, 0.00003430585156339233, 0.00009271248098356608 ], [ 0.00008000472502882013, 0.0005207102599944888, -0.000951360923129856, 0.0009248074259264518, 0.00027111140473771046, 0.00027468769109566943, -0.00024015688331310018, -0.00007174748300227217, 0.00005673927893326948 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.006413199369752859, -0.01581349356378605, -0.0029288554537749683, -0.00004467263535329855 ], [ -0.00020663621137922148, 0.00013640844410676268, -0.004829616219586293, -0.024191990116023833, -0.15590163650224084, -0.01088285858137364, 0.0024476933522820134, 0.000816060266788123, 0.00007500583339963914 ], [ 0.00026988203220270105, -0.000264615548918984, 0.00015412738080327107, -0.0002120502121362635, -0.024090450260726103, -0.011147233849509877, 0.0003479505811581294, 0.0012767539833087183, 0.0000033035365841930316 ], [ 0.00011559502678962309, -0.001128663077796497, 0.002999841205680527, 0.0003597659903825589, -0.0026693132068752886, -0.0037343115698801324, -0.0007193898871771566, 0.0000825319343272389, 0.00003539568349709204 ], [ 0.00016776023685344873, 0.000411691758030794, -0.0004953868371024086, -0.00028672305592979347, -0.0008477048326111242, -0.001150682800236121, -0.0003203793472044866, 0.000039826786708350883, -0.000006105443795543117 ] ]

DEpmaZDo4XUnU7tjsEaYaur

{"aspect_ratio": 8.781701999675798, "major_radius": 1.0, "max_elongation": 4.809338389360177, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.19359800074785483, -0.2894628731175579, 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": [[0.8634447531834397, 0.8634448712693252, 0.8634471725204245, 0.8634587631041001, 0.863493102958739, 0.8635703850606115, 0.8637175071577953, 0.8639677827231688, 0.8643604643890437, 0.8649401247769146, 0.8657559255899945, 0.8668607978692809, 0.8683105513843945, 0.8701629278927394, 0.872476610783975, 0.8753102020669778, 0.8787211765423347, 0.8827648222065215, 0.8874931753734165, 0.8929539586226235, 0.899189529458634, 0.9062358474689746, 0.9141214677909354, 0.9228665688299105, 0.9324820224183288, 0.9429685149685472, 0.9543157286674928, 0.966501592403183, 0.9794916129289971, 0.9932382977959067, 1.007680682863653, 1.0227439788042014, 1.0383393530237688, 1.0543638659763244, 1.0707005840939454, 1.0872188957628393, 1.103775062283663, 1.1202130430975619, 1.1363656445350276, 1.1520560552027372, 1.1670998508796508, 1.1813075808229963, 1.1944880915896277, 1.2064528147257665, 1.217021362257523, 1.2260289838499252, 1.2333368467410089, 1.2388469824035337, 1.2425259882091364, 1.2444489514563137, 1.2449191232140635], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6045015042259485}

8.781702

1

4.809338

[ [ 0.8634447531834397, 0.8634448712693252, 0.8634471725204245, 0.8634587631041001, 0.863493102958739, 0.8635703850606115, 0.8637175071577953, 0.8639677827231688, 0.8643604643890437, 0.8649401247769146, 0.8657559255899945, 0.8668607978692809, 0.8683105513843945, 0.8701629278927394, 0.872476610783975, 0.8753102020669778, 0.8787211765423347, 0.8827648222065215, 0.8874931753734165, 0.8929539586226235, 0.899189529458634, 0.9062358474689746, 0.9141214677909354, 0.9228665688299105, 0.9324820224183288, 0.9429685149685472, 0.9543157286674928, 0.966501592403183, 0.9794916129289971, 0.9932382977959067, 1.007680682863653, 1.0227439788042014, 1.0383393530237688, 1.0543638659763244, 1.0707005840939454, 1.0872188957628393, 1.103775062283663, 1.1202130430975619, 1.1363656445350276, 1.1520560552027372, 1.1670998508796508, 1.1813075808229963, 1.1944880915896277, 1.2064528147257665, 1.217021362257523, 1.2260289838499252, 1.2333368467410089, 1.2388469824035337, 1.2425259882091364, 1.2444489514563137, 1.2449191232140635 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.19359800074785483, -0.2894628731175579, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.604502

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

D7WV7FdwnkhqUNWd9QN4n8J

null

false

null

false

DATD4HH7MtpMGhPRLYyxRVG

DAXzqHwRxVyXAx5M2jD5CKi

{"qi": 0.019290909070597856, "vacuum_well": -0.10539801792826978, "aspect_ratio": 9.98072802577388, "max_elongation": 4.8332371535414715, "average_triangularity": -0.39255536692817405, "axis_magnetic_mirror_ratio": 0.16926158554620777, "edge_magnetic_mirror_ratio": 0.2056721948707699, "aspect_ratio_over_edge_rotational_transform": 61.40555477079889, "flux_compression_in_regions_of_bad_curvature": 1.2683888811995145, "axis_rotational_transform_over_n_field_periods": 0.12840657081531287, "edge_rotational_transform_over_n_field_periods": 0.16253786913948975, "minimum_normalized_magnetic_gradient_scale_length": 0.3475721484832266}

9.980728

61.405555

-0.605566

0.169262

0.128407

0.205672

0.162538

1.268389

4.833237

0.347572

0.019291

-0.105398

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.0017636435151291265,-0.2119255412857882,0.004055753912163607,0.007096051014994119],[0.01038040870974163,0.008274480045370224,0.02269584415650533,-0.007438308856315379,0.07028817632230339,0.0007553911537292231,0.007864246037291203,-0.005161066973853174,-0.002624198927198461],[-0.006199243348534354,-0.0011660451423892658,0.00016971426602402232,0.005269500223771816,-0.015066139098852271,-0.001285419186961517,0.0041551624262470745,-0.0018976185392785587,-0.000659628845623502],[0.001368272891175185,-0.00214692551134503,-0.004039858357658271,-0.0010789411916736743,0.0007523533672904408,-0.000712164498798457,0.001398745971464142,0.00012081820359998016,-6.768744433490207e-7],[-0.00007600446913803457,0.00044525314047764357,0.0013312348996471694,0.00012166529829213098,-0.0016371647119294659,-0.00002646190537868411,0.00016782882026118847,0.00004864425538463025,0.00001927740872865537]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.009895169033214484,0.030421114140623554,0.006891647590116821,0.0006321258657702063],[0.008528359497398327,0.005570013090500538,0.048085236605209386,0.00025550234695822046,-0.1582097370893469,-0.0005751389647217183,0.0052012701244548015,0.00024303268243299966,0.004049107541788264],[-0.004568442317981996,-0.0019991954919197654,-0.014955317455783778,-0.02093868499121571,-0.0010320728917866248,0.0030594322342181145,0.0010398853590838772,0.0015625914591987744,0.00046234770121211105],[0.001510491297125609,0.0012172653148626277,-0.0031101130852938513,-0.0005685045422661739,0.0032172780351367746,-0.0007548261836953943,-0.0011528769349177066,-1.1682820628948097e-6,0.000016612956351379432],[-0.0000697519843140767,-0.0004331748315397773,0.00038909752783173256,0.0008632584769193087,0.0002880737193994556,-0.0003293494055069588,-0.00007996474942376585,-0.00003173020188202447,0.00001074484963027133]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, -0.0017636435151291265, -0.2119255412857882, 0.004055753912163607, 0.007096051014994119 ], [ 0.01038040870974163, 0.008274480045370224, 0.02269584415650533, -0.007438308856315379, 0.07028817632230339, 0.0007553911537292231, 0.007864246037291203, -0.005161066973853174, -0.002624198927198461 ], [ -0.006199243348534354, -0.0011660451423892658, 0.00016971426602402232, 0.005269500223771816, -0.015066139098852271, -0.001285419186961517, 0.0041551624262470745, -0.0018976185392785587, -0.000659628845623502 ], [ 0.001368272891175185, -0.00214692551134503, -0.004039858357658271, -0.0010789411916736743, 0.0007523533672904408, -0.000712164498798457, 0.001398745971464142, 0.00012081820359998016, -6.768744433490207e-7 ], [ -0.00007600446913803457, 0.00044525314047764357, 0.0013312348996471694, 0.00012166529829213098, -0.0016371647119294659, -0.00002646190537868411, 0.00016782882026118847, 0.00004864425538463025, 0.00001927740872865537 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.009895169033214484, 0.030421114140623554, 0.006891647590116821, 0.0006321258657702063 ], [ 0.008528359497398327, 0.005570013090500538, 0.048085236605209386, 0.00025550234695822046, -0.1582097370893469, -0.0005751389647217183, 0.0052012701244548015, 0.00024303268243299966, 0.004049107541788264 ], [ -0.004568442317981996, -0.0019991954919197654, -0.014955317455783778, -0.02093868499121571, -0.0010320728917866248, 0.0030594322342181145, 0.0010398853590838772, 0.0015625914591987744, 0.00046234770121211105 ], [ 0.001510491297125609, 0.0012172653148626277, -0.0031101130852938513, -0.0005685045422661739, 0.0032172780351367746, -0.0007548261836953943, -0.0011528769349177066, -0.0000011682820628948097, 0.000016612956351379432 ], [ -0.0000697519843140767, -0.0004331748315397773, 0.00038909752783173256, 0.0008632584769193087, 0.0002880737193994556, -0.0003293494055069588, -0.00007996474942376585, -0.00003173020188202447, 0.00001074484963027133 ] ]

DgpXQQZrm8jLQc6E4HFv7u4

{"aspect_ratio": 11.677025864360392, "major_radius": 1.0, "max_elongation": 4.625919489985458, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.20444136376454475, -0.14239494060458924, 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": [[0.8719190725128081, 0.8719190743897215, 0.8719191752863851, 0.871920120929047, 0.8719244452033058, 0.871937946029005, 0.8719712689778033, 0.8720414277577601, 0.8721731300599923, 0.8723998084282495, 0.8727642821627801, 0.8733189992955417, 0.8741258281614687, 0.8752553865027153, 0.8767859126709637, 0.8788016985288803, 0.8813911172249875, 0.8846442912140869, 0.8886504567757207, 0.8934950908814485, 0.8992568745956777, 0.9060045742672223, 0.9137939275691203, 0.9226646259493936, 0.9326374882296299, 0.9437119218825859, 0.9558637688710532, 0.9690436317582412, 0.9831757730059715, 0.9981576758391688, 1.0138603486234177, 1.0301294461914938, 1.046787270734684, 1.0636357014571591, 1.0804600858116291, 1.0970341053235662, 1.1131256051590606, 1.128503347888026, 1.1429446172434616, 1.1562435555583357, 1.1682200668082188, 1.178729052615105, 1.187669666317572, 1.1949941625440728, 1.2007157736462424, 1.2049148366052636, 1.207742079515473, 1.2094174582816073, 1.2102219694125138, 1.2104776988307429, 1.2105043564716214], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.17579019256723288}

11.677026

1

4.625919

[ [ 0.8719190725128081, 0.8719190743897215, 0.8719191752863851, 0.871920120929047, 0.8719244452033058, 0.871937946029005, 0.8719712689778033, 0.8720414277577601, 0.8721731300599923, 0.8723998084282495, 0.8727642821627801, 0.8733189992955417, 0.8741258281614687, 0.8752553865027153, 0.8767859126709637, 0.8788016985288803, 0.8813911172249875, 0.8846442912140869, 0.8886504567757207, 0.8934950908814485, 0.8992568745956777, 0.9060045742672223, 0.9137939275691203, 0.9226646259493936, 0.9326374882296299, 0.9437119218825859, 0.9558637688710532, 0.9690436317582412, 0.9831757730059715, 0.9981576758391688, 1.0138603486234177, 1.0301294461914938, 1.046787270734684, 1.0636357014571591, 1.0804600858116291, 1.0970341053235662, 1.1131256051590606, 1.128503347888026, 1.1429446172434616, 1.1562435555583357, 1.1682200668082188, 1.178729052615105, 1.187669666317572, 1.1949941625440728, 1.2007157736462424, 1.2049148366052636, 1.207742079515473, 1.2094174582816073, 1.2102219694125138, 1.2104776988307429, 1.2105043564716214 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.20444136376454475, -0.14239494060458924, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.17579

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

DNC6KBDLvmotsq2zGiFJN4t

null

false

null

false

Dkgs4XBXMkYqaVChqMm6sPH

DDVkfWhatCuNbNdJTNgkHFT

{"qi": 0.05976766925925339, "vacuum_well": -0.16006105825747616, "aspect_ratio": 6.691048425462145, "max_elongation": 2.3079129347200094, "average_triangularity": -0.13088931843628715, "axis_magnetic_mirror_ratio": 0.6572674972182407, "edge_magnetic_mirror_ratio": 0.9656053251103327, "aspect_ratio_over_edge_rotational_transform": 8.990467717706483, "flux_compression_in_regions_of_bad_curvature": 0.7339283693237011, "axis_rotational_transform_over_n_field_periods": 0.1828578362547139, "edge_rotational_transform_over_n_field_periods": 0.14884761584281775, "minimum_normalized_magnetic_gradient_scale_length": 2.5743750039922504}

6.691048

8.990468

-0.211425

0.657267

0.182858

0.965605

0.148848

0.733928

2.307913

2.574375

0.059768

-0.160061

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1962135134305249,-0.01841243994461987,-0.014021010673139073,0.00009549242556484114],[-0.000940622334754989,0.0033501469862107255,0.06275485499491093,-0.09516283906771031,0.134232875192149,0.020325703951578983,-0.010099182879243815,0.00007835890869065934,-0.00011869083452144329],[0.00032102325996163445,-0.0007589510087543989,-0.016133133882031723,0.00798995071684918,0.0025890346934352923,0.0026039000990613773,0.0014649177683921377,0.0004974197352949817,-0.00039053000709819073],[-0.0007064587118280276,0.0013511578785931058,0.002466956393616962,0.00044754784575931134,0.0005000203570363201,0.00032813986846601104,0.0010819356922481692,-0.0005360925579314244,-0.00013611503413361127],[0.00013617679946886758,0.00006977756243254371,-0.0007936414672002143,0.0007725881495763446,-0.0005972688522304804,0.00034410483981515885,0.00008531270874193161,-0.00012915735713394,1.3817728918716978e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.006161651564373264,0.014067075078738119,0.006791808002705602,0.0016075986128630919],[0.00006153088078620243,0.012381516242364471,0.004635955031144485,0.04604756046256795,-0.10692307801657547,-0.02661435159339482,-0.003028118223750759,0.0005786125791496953,-0.0003550382136391448],[0.0003619512937569105,-0.0031318543685319123,-0.0045116885578349725,-0.0030897407689129248,0.0023078318922719614,-0.009082129876431803,-0.001047451035210478,0.0003925754287636379,0.0001529440233383508],[-0.0007246872762058409,0.0013915236243142403,-0.0014256222643383035,0.0017610262880475036,-0.00250337627107742,-0.0007583512226338869,-0.000756282526362625,0.0003468891857261484,0.00005101535595488732],[0.00026560959193764277,-0.000894823491447423,0.001266861050833053,-0.0011673222731097455,-0.00040675937259423024,0.00011268434998620987,0.00001440236290814554,-1.8229367100832078e-6,0.000037989623938667]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.1962135134305249, -0.01841243994461987, -0.014021010673139073, 0.00009549242556484114 ], [ -0.000940622334754989, 0.0033501469862107255, 0.06275485499491093, -0.09516283906771031, 0.134232875192149, 0.020325703951578983, -0.010099182879243815, 0.00007835890869065934, -0.00011869083452144329 ], [ 0.00032102325996163445, -0.0007589510087543989, -0.016133133882031723, 0.00798995071684918, 0.0025890346934352923, 0.0026039000990613773, 0.0014649177683921377, 0.0004974197352949817, -0.00039053000709819073 ], [ -0.0007064587118280276, 0.0013511578785931058, 0.002466956393616962, 0.00044754784575931134, 0.0005000203570363201, 0.00032813986846601104, 0.0010819356922481692, -0.0005360925579314244, -0.00013611503413361127 ], [ 0.00013617679946886758, 0.00006977756243254371, -0.0007936414672002143, 0.0007725881495763446, -0.0005972688522304804, 0.00034410483981515885, 0.00008531270874193161, -0.00012915735713394, 0.0000013817728918716978 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.006161651564373264, 0.014067075078738119, 0.006791808002705602, 0.0016075986128630919 ], [ 0.00006153088078620243, 0.012381516242364471, 0.004635955031144485, 0.04604756046256795, -0.10692307801657547, -0.02661435159339482, -0.003028118223750759, 0.0005786125791496953, -0.0003550382136391448 ], [ 0.0003619512937569105, -0.0031318543685319123, -0.0045116885578349725, -0.0030897407689129248, 0.0023078318922719614, -0.009082129876431803, -0.001047451035210478, 0.0003925754287636379, 0.0001529440233383508 ], [ -0.0007246872762058409, 0.0013915236243142403, -0.0014256222643383035, 0.0017610262880475036, -0.00250337627107742, -0.0007583512226338869, -0.000756282526362625, 0.0003468891857261484, 0.00005101535595488732 ], [ 0.00026560959193764277, -0.000894823491447423, 0.001266861050833053, -0.0011673222731097455, -0.00040675937259423024, 0.00011268434998620987, 0.00001440236290814554, -0.0000018229367100832078, 0.000037989623938667 ] ]

D4XZ9UZgUc8boJSm7oGvs5B

{"aspect_ratio": 4.777824128911404, "major_radius": 1.0, "max_elongation": 5.060500432030869, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.051468075641166816, -0.18303003097372483, 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": [[0.7633378107995428, 0.763691045850936, 0.7651208497370374, 0.7678625613641915, 0.7720000583756321, 0.7775449283368755, 0.784464092431667, 0.7926942855903633, 0.8021510461982206, 0.8127348759930411, 0.8243357427916047, 0.8368365236425244, 0.8501157250848073, 0.864049684787993, 0.8785143858157779, 0.8933869717627894, 0.9085470243464997, 0.9238776477645246, 0.939266392526775, 0.9546060434331552, 0.969795290643262, 0.9847392986087031, 0.9993501845250227, 1.0135474155911484, 1.0272581325268222, 1.0404174053463118, 1.052968426217079, 1.0648626432711015, 1.076059838429782, 1.086528151609722, 1.0962440530638071, 1.1051922650538049, 1.1133656335243047, 1.1207649499323167, 1.1273987228612428, 1.133282898489242, 1.1384405283632133, 1.1429013822163134, 1.1467015027130034, 1.149882697945866, 1.1524919661468935, 1.1545808452651787, 1.1562046775671895, 1.1574217758398584, 1.158292472422439, 1.158878023845495, 1.1592393296318864, 1.1594353977401832, 1.1595214353044918, 1.1595463097763208, 1.1595486488940352], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8930846045898844}

4.777824

1

5.0605

[ [ 0.7633378107995428, 0.763691045850936, 0.7651208497370374, 0.7678625613641915, 0.7720000583756321, 0.7775449283368755, 0.784464092431667, 0.7926942855903633, 0.8021510461982206, 0.8127348759930411, 0.8243357427916047, 0.8368365236425244, 0.8501157250848073, 0.864049684787993, 0.8785143858157779, 0.8933869717627894, 0.9085470243464997, 0.9238776477645246, 0.939266392526775, 0.9546060434331552, 0.969795290643262, 0.9847392986087031, 0.9993501845250227, 1.0135474155911484, 1.0272581325268222, 1.0404174053463118, 1.052968426217079, 1.0648626432711015, 1.076059838429782, 1.086528151609722, 1.0962440530638071, 1.1051922650538049, 1.1133656335243047, 1.1207649499323167, 1.1273987228612428, 1.133282898489242, 1.1384405283632133, 1.1429013822163134, 1.1467015027130034, 1.149882697945866, 1.1524919661468935, 1.1545808452651787, 1.1562046775671895, 1.1574217758398584, 1.158292472422439, 1.158878023845495, 1.1592393296318864, 1.1594353977401832, 1.1595214353044918, 1.1595463097763208, 1.1595486488940352 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.051468075641166816, -0.18303003097372483, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.893085

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

DS4KMPjq9oAPXh2UU6pyF8r

null

false

null

false

DZT9ntagvYUHsmm3ei8vtKb

D2m3AStdxk4z9KMDvvbGf2P

{"qi": 0.03653141256153405, "vacuum_well": -0.17396836135191923, "aspect_ratio": 9.971884488298178, "max_elongation": 5.692501800029346, "average_triangularity": -0.5919384899139869, "axis_magnetic_mirror_ratio": 0.21516078267258124, "edge_magnetic_mirror_ratio": 0.3472142367599196, "aspect_ratio_over_edge_rotational_transform": 10.83755592219919, "flux_compression_in_regions_of_bad_curvature": 1.5984332978419935, "axis_rotational_transform_over_n_field_periods": 0.21932687194000342, "edge_rotational_transform_over_n_field_periods": 0.30670766729708226, "minimum_normalized_magnetic_gradient_scale_length": 5.650222769605255}

9.971884

10.837556

-0.970197

0.215161

0.219327

0.347214

0.306708

1.598433

5.692502

5.650223

0.036531

-0.173968

{"r_cos":[[0.0,0.0,0.0,0.0,0.9991256454349019,-0.017693582530919558,0.002922932009319322,0.014370935698468056,0.00040659931588951653],[0.0017245325270269637,-0.0015155938212584187,0.005298894936039089,-0.051345844297064965,0.11427338570232583,-0.017997066421499223,0.006200610795778606,-0.0010446109606105328,0.00045453546690190066],[-0.002005212179911271,0.00029267258057706766,-0.018889350361608846,-0.016905875316802706,-0.018695967872069563,0.005370552186744918,-0.0022915986161985546,0.0002513500676945249,-0.000021322889292074492],[0.00010196001295842636,0.0005918229358579101,0.004364254857537442,-0.004772109311014541,-0.0017738906595118151,-0.00037268069162831995,-0.00011627537222358647,-1.7988715693270847e-6,4.81356210808921e-7],[0.0002787476839134381,-0.0005397792077160189,-0.0005441023319320808,0.0006976483848028861,-0.00023830753974483053,-0.00037497407468719234,0.00016540320795765042,-0.000033554816886639154,0.000013413577128816947]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.07060055461457315,0.02085548796075152,-0.005428158833527515,-0.0005959710131848948],[0.0023496025538741706,0.002936811080950608,0.017789532066650716,-0.09324174474028729,-0.12309131163713116,0.04401613466589733,-0.005365661368357098,0.0017457601282162036,-0.0001144882292510585],[-0.0013769380126180644,0.0021182182424191376,-0.015001005621404852,0.0077236942334469125,0.0009591486704302188,-0.011151623814353593,0.0035581807493997265,0.00046028460923670236,-0.00007539317552201043],[0.00010201987013386236,0.002167777264202875,0.0040137753034724865,0.007488098365683319,-0.0009831600633685128,0.0003059937195411173,-0.0004480078628615123,0.0001620270130008256,0.00006695158214778903],[0.00035095687147151705,-0.00018229062191635947,0.0003306795275260484,-0.00048447786041532924,0.0006054607042091582,0.00005816197941147723,0.000016347688762695205,-0.00005201369466836469,6.985365017589005e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9991256454349019, -0.017693582530919558, 0.002922932009319322, 0.014370935698468056, 0.00040659931588951653 ], [ 0.0017245325270269637, -0.0015155938212584187, 0.005298894936039089, -0.051345844297064965, 0.11427338570232583, -0.017997066421499223, 0.006200610795778606, -0.0010446109606105328, 0.00045453546690190066 ], [ -0.002005212179911271, 0.00029267258057706766, -0.018889350361608846, -0.016905875316802706, -0.018695967872069563, 0.005370552186744918, -0.0022915986161985546, 0.0002513500676945249, -0.000021322889292074492 ], [ 0.00010196001295842636, 0.0005918229358579101, 0.004364254857537442, -0.004772109311014541, -0.0017738906595118151, -0.00037268069162831995, -0.00011627537222358647, -0.0000017988715693270847, 4.81356210808921e-7 ], [ 0.0002787476839134381, -0.0005397792077160189, -0.0005441023319320808, 0.0006976483848028861, -0.00023830753974483053, -0.00037497407468719234, 0.00016540320795765042, -0.000033554816886639154, 0.000013413577128816947 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.07060055461457315, 0.02085548796075152, -0.005428158833527515, -0.0005959710131848948 ], [ 0.0023496025538741706, 0.002936811080950608, 0.017789532066650716, -0.09324174474028729, -0.12309131163713116, 0.04401613466589733, -0.005365661368357098, 0.0017457601282162036, -0.0001144882292510585 ], [ -0.0013769380126180644, 0.0021182182424191376, -0.015001005621404852, 0.0077236942334469125, 0.0009591486704302188, -0.011151623814353593, 0.0035581807493997265, 0.00046028460923670236, -0.00007539317552201043 ], [ 0.00010201987013386236, 0.002167777264202875, 0.0040137753034724865, 0.007488098365683319, -0.0009831600633685128, 0.0003059937195411173, -0.0004480078628615123, 0.0001620270130008256, 0.00006695158214778903 ], [ 0.00035095687147151705, -0.00018229062191635947, 0.0003306795275260484, -0.00048447786041532924, 0.0006054607042091582, 0.00005816197941147723, 0.000016347688762695205, -0.00005201369466836469, 0.000006985365017589005 ] ]

DPyANatcg8rthRCyKmAJDqH

{"aspect_ratio": 10.416157333693977, "major_radius": 1.0, "max_elongation": 5.275431387366712, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.3774927134774749, -0.2838211699426225, 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": [[0.7900142021122651, 0.790014250444434, 0.7900158912372249, 0.7900273846447723, 0.7900698591325593, 0.7901819446580661, 0.7904225203493955, 0.7908716110640699, 0.7916295926548497, 0.7928149254126016, 0.7945606644503959, 0.7970100079925438, 0.8003111459313906, 0.8046116650585532, 0.8100527561468518, 0.8167634529077104, 0.8248551147094271, 0.8344163444898037, 0.845508511041594, 0.8581620211897479, 0.8723734626379692, 0.8881037127078198, 0.9052770820578229, 0.9237815359573263, 0.9434700089863455, 0.9641628023120319, 0.9856510261216685, 1.0077010235354988, 1.030059686546251, 1.0524605494078303, 1.0746305206054716, 1.0962970912812253, 1.117195835980988, 1.1370780010802257, 1.1557179575217407, 1.1729202778985217, 1.1885261838456789, 1.2024190986698808, 1.214529032775389, 1.2248355265597048, 1.2333688781322631, 1.2402093929361344, 1.2454844112156533, 1.2493629003430449, 1.2520474470190779, 1.2537635569844805, 1.2547462805351068, 1.2552243564468, 1.2554023602511293, 1.2554418989562648, 1.2554442350623933], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6396600684738528}

10.416157

1

5.275431

[ [ 0.7900142021122651, 0.790014250444434, 0.7900158912372249, 0.7900273846447723, 0.7900698591325593, 0.7901819446580661, 0.7904225203493955, 0.7908716110640699, 0.7916295926548497, 0.7928149254126016, 0.7945606644503959, 0.7970100079925438, 0.8003111459313906, 0.8046116650585532, 0.8100527561468518, 0.8167634529077104, 0.8248551147094271, 0.8344163444898037, 0.845508511041594, 0.8581620211897479, 0.8723734626379692, 0.8881037127078198, 0.9052770820578229, 0.9237815359573263, 0.9434700089863455, 0.9641628023120319, 0.9856510261216685, 1.0077010235354988, 1.030059686546251, 1.0524605494078303, 1.0746305206054716, 1.0962970912812253, 1.117195835980988, 1.1370780010802257, 1.1557179575217407, 1.1729202778985217, 1.1885261838456789, 1.2024190986698808, 1.214529032775389, 1.2248355265597048, 1.2333688781322631, 1.2402093929361344, 1.2454844112156533, 1.2493629003430449, 1.2520474470190779, 1.2537635569844805, 1.2547462805351068, 1.2552243564468, 1.2554023602511293, 1.2554418989562648, 1.2554442350623933 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.3774927134774749, -0.2838211699426225, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.63966

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

DH57G5LQUPS6UupLa97a8nQ

null

false

null

false

DTwz8Gd8yV64FfmLHaRfFY9

DZKgDNJ7jv2oauhBB4EtiAf

{"qi": 0.0694860455917871, "vacuum_well": -0.027498661529889765, "aspect_ratio": 6.260922226680014, "max_elongation": 7.898953268773379, "average_triangularity": 0.412950774529165, "axis_magnetic_mirror_ratio": 0.11607469514823943, "edge_magnetic_mirror_ratio": 0.4224795842828752, "aspect_ratio_over_edge_rotational_transform": 6.081690435586869, "flux_compression_in_regions_of_bad_curvature": 2.5950369837002283, "axis_rotational_transform_over_n_field_periods": 0.2672061296197151, "edge_rotational_transform_over_n_field_periods": 0.20589414384015256, "minimum_normalized_magnetic_gradient_scale_length": 2.144739706065}

6.260922

6.08169

0.388487

0.116075

0.267206

0.42248

0.205894

2.595037

7.898953

2.14474

0.069486

-0.027499

{"r_cos":[[0.0,0.0,0.0,0.0,0.9924566738488069,0.0846585705180529,-0.00935011067336794,0.008875164921014745,-0.0011647766879171705],[0.00016812939939254978,-0.006153235839419173,-0.04495552144794138,-0.053372778345090105,0.21105529349592275,-0.037810558468260064,0.020234662816431718,-0.0054180893790593074,0.0012637429019992036],[-0.00023509232726519542,0.003514355547386365,0.017108095072122256,0.015510804544244302,0.009203504572267686,0.005490579562163197,0.0014732208650214615,0.00047906464637004296,0.00031574706601367566],[-0.0008669285555037783,-0.0013412157249707438,0.0028177865033173592,-0.0017367129612315885,-0.00044234686617613313,0.0012832919085513652,-0.0008075960939209403,-0.00010226929901167782,-0.00023656952337541961],[0.0006336142540558087,-0.00014125149020287288,0.0008587288441946854,-0.00022122315002354002,-0.0004253293802194899,0.0004236422336005314,-0.0005635727396496405,0.00013140984690875783,-0.00016385749850826668]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.6488229503293695,0.014869191098777922,-0.019913915077653457,0.007112719032023798],[-0.005230980156590565,-0.0198741437348496,-0.07252025883254222,-0.04596349004795254,-0.14676865707546313,-0.027713741800483777,-0.03491143541523921,0.0014496859797318972,-0.004340116943678708],[0.0020565352130265937,0.01520221244807116,0.012386071648900945,-0.006834743942909975,0.005085775899050182,-0.0008088581894216346,-0.0023668946199127006,-0.0026903938410332666,-0.0007254170048461857],[-0.0014337820231883054,-0.004167630646534899,-0.000959997913512372,0.0034764885342262065,-0.0008717011420492405,0.0025830977723794776,-0.00044662018700400224,0.00018989460275970838,0.00012099022346272192],[0.000251937023723245,0.0005337555574700643,-0.00033433414010173657,0.0002612646724420036,-0.00032242284845795336,0.0002860990667449945,0.0001953919281283364,0.00012611440981761382,0.000027655773255201316]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9924566738488069, 0.0846585705180529, -0.00935011067336794, 0.008875164921014745, -0.0011647766879171705 ], [ 0.00016812939939254978, -0.006153235839419173, -0.04495552144794138, -0.053372778345090105, 0.21105529349592275, -0.037810558468260064, 0.020234662816431718, -0.0054180893790593074, 0.0012637429019992036 ], [ -0.00023509232726519542, 0.003514355547386365, 0.017108095072122256, 0.015510804544244302, 0.009203504572267686, 0.005490579562163197, 0.0014732208650214615, 0.00047906464637004296, 0.00031574706601367566 ], [ -0.0008669285555037783, -0.0013412157249707438, 0.0028177865033173592, -0.0017367129612315885, -0.00044234686617613313, 0.0012832919085513652, -0.0008075960939209403, -0.00010226929901167782, -0.00023656952337541961 ], [ 0.0006336142540558087, -0.00014125149020287288, 0.0008587288441946854, -0.00022122315002354002, -0.0004253293802194899, 0.0004236422336005314, -0.0005635727396496405, 0.00013140984690875783, -0.00016385749850826668 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.6488229503293695, 0.014869191098777922, -0.019913915077653457, 0.007112719032023798 ], [ -0.005230980156590565, -0.0198741437348496, -0.07252025883254222, -0.04596349004795254, -0.14676865707546313, -0.027713741800483777, -0.03491143541523921, 0.0014496859797318972, -0.004340116943678708 ], [ 0.0020565352130265937, 0.01520221244807116, 0.012386071648900945, -0.006834743942909975, 0.005085775899050182, -0.0008088581894216346, -0.0023668946199127006, -0.0026903938410332666, -0.0007254170048461857 ], [ -0.0014337820231883054, -0.004167630646534899, -0.000959997913512372, 0.0034764885342262065, -0.0008717011420492405, 0.0025830977723794776, -0.00044662018700400224, 0.00018989460275970838, 0.00012099022346272192 ], [ 0.000251937023723245, 0.0005337555574700643, -0.00033433414010173657, 0.0002612646724420036, -0.00032242284845795336, 0.0002860990667449945, 0.0001953919281283364, 0.00012611440981761382, 0.000027655773255201316 ] ]

DeXvc7sbRmLcw8ezxx5VvR7

{"aspect_ratio": 5.4924815553157735, "major_radius": 1.0, "max_elongation": 4.12183464090983, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.17572795691691567, 0.5195347208583407, 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": [[0.8588529339933242, 0.8589902786123058, 0.8597188651701794, 0.8613288979203964, 0.8639724353916218, 0.867712978483108, 0.8725508546383408, 0.8784401466270265, 0.8853011988060983, 0.8930303452941388, 0.9015076919365252, 0.9106034344768195, 0.9201830211649473, 0.9301113716954622, 0.94025630675061, 0.9504913057767286, 0.9606976861239853, 0.9707662796094948, 0.9805986702453596, 0.9901080477108986, 0.999219724151393, 1.0078713564161657, 1.01601291148305, 1.0236064092651544, 1.0306254740569956, 1.0370547234059744, 1.04288902108628, 1.0481326190272204, 1.0527982114473784, 1.0569059230241833, 1.0604822516497456, 1.063558985159541, 1.0661721103475732, 1.0683607315806225, 1.0701660153785468, 1.0716301764227063, 1.0727955195769272, 1.0737035516420157, 1.074394175702378, 1.0749049800475272, 1.0752706327456922, 1.0755223919914458, 1.0756877413184702, 1.0757901576272775, 1.0758490186755805, 1.0758796551395393, 1.0758935504531237, 1.0758986891526565, 1.0759000509718384, 1.0759002425012867, 1.0759002481243358], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.2937772210665015}

5.492482

1

4.121835

[ [ 0.8588529339933242, 0.8589902786123058, 0.8597188651701794, 0.8613288979203964, 0.8639724353916218, 0.867712978483108, 0.8725508546383408, 0.8784401466270265, 0.8853011988060983, 0.8930303452941388, 0.9015076919365252, 0.9106034344768195, 0.9201830211649473, 0.9301113716954622, 0.94025630675061, 0.9504913057767286, 0.9606976861239853, 0.9707662796094948, 0.9805986702453596, 0.9901080477108986, 0.999219724151393, 1.0078713564161657, 1.01601291148305, 1.0236064092651544, 1.0306254740569956, 1.0370547234059744, 1.04288902108628, 1.0481326190272204, 1.0527982114473784, 1.0569059230241833, 1.0604822516497456, 1.063558985159541, 1.0661721103475732, 1.0683607315806225, 1.0701660153785468, 1.0716301764227063, 1.0727955195769272, 1.0737035516420157, 1.074394175702378, 1.0749049800475272, 1.0752706327456922, 1.0755223919914458, 1.0756877413184702, 1.0757901576272775, 1.0758490186755805, 1.0758796551395393, 1.0758935504531237, 1.0758986891526565, 1.0759000509718384, 1.0759002425012867, 1.0759002481243358 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.17572795691691567, 0.5195347208583407, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.293777

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

D7Z6NthNsdhPf35hByriEdw

null

false

null

false

Da4LPc6mS7MrX2iCjTVghCk

Df9qqnDqxfxd2Pursinsxx8

{"qi": 0.04465195465461901, "vacuum_well": -0.1906961918936751, "aspect_ratio": 6.340656253959115, "max_elongation": 4.17869604146093, "average_triangularity": -0.19897771331071698, "axis_magnetic_mirror_ratio": 0.7124869288134568, "edge_magnetic_mirror_ratio": 0.9239551006995917, "aspect_ratio_over_edge_rotational_transform": 5.9134704355437435, "flux_compression_in_regions_of_bad_curvature": 1.2054199255668423, "axis_rotational_transform_over_n_field_periods": 0.23632385841353268, "edge_rotational_transform_over_n_field_periods": 0.2144478888690374, "minimum_normalized_magnetic_gradient_scale_length": 2.980630172509633}

6.340656

5.91347

-0.38439

0.712487

0.236324

0.923955

0.214448

1.20542

4.178696

2.98063

0.044652

-0.190696

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.11931326101194556,-0.01803884693001462,-0.01034752034402541,-0.000055887410932496055],[-0.0007557375611850275,0.010672168356137445,0.046690552469409716,-0.007390224056704765,0.11933457494184087,-0.007461914647101555,-0.004796253298249665,0.0029040159044196523,0.0002145610341561981],[0.001166201328610911,0.002344384084008776,-0.023292006201508376,0.017129533735595535,-0.008265188490156027,-0.002754623402674455,-0.0006085369522754718,-0.0006519410805422071,-0.000027037281946114288],[-0.00038998524824238436,-0.003466588192509009,0.003953521868488927,0.0000738049688185174,0.0032853206000207306,-0.0017902010582152032,0.00046257503105299677,0.0001612476896976191,0.000056316426182783096],[-0.0002149409692036732,0.0008216402861930775,-0.0005170660909039239,0.0008316766402123791,-0.0006346324513812384,-0.0002151603720111357,0.0000172160414668005,0.000017491101378767264,-0.00004691214503699931]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.05112571605357963,0.02116435987859762,0.008173944459598535,0.0016558909213973284],[0.001960154552540996,0.012974476903860319,0.023807759239763207,0.06410827618817783,-0.17302062751214667,0.01656438107374649,-0.0024322099580892844,-0.001188720096320416,-0.00019933509908908863],[0.001280151020774358,-0.007879606698154608,0.0004218137530486389,-0.024618762408077637,0.018430490533561498,-0.007463736904350706,0.0028784464525288267,0.0009856680274901468,-0.000047395303627375835],[-0.0012731939484903199,-0.000532802345734355,-0.0012890151834846393,-0.0003208065466677398,-0.007184939771098094,0.0035035644441988164,-0.0014499729743809597,-0.00039550512410016866,0.00009573129211266765],[0.0003368679186101539,0.00012096348829477523,-0.000680293442738886,0.00014734464591280216,0.0007803402454429685,-0.0004652781184002224,4.603078380807971e-6,0.00002578407638735904,0.00004445708900056725]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.11931326101194556, -0.01803884693001462, -0.01034752034402541, -0.000055887410932496055 ], [ -0.0007557375611850275, 0.010672168356137445, 0.046690552469409716, -0.007390224056704765, 0.11933457494184087, -0.007461914647101555, -0.004796253298249665, 0.0029040159044196523, 0.0002145610341561981 ], [ 0.001166201328610911, 0.002344384084008776, -0.023292006201508376, 0.017129533735595535, -0.008265188490156027, -0.002754623402674455, -0.0006085369522754718, -0.0006519410805422071, -0.000027037281946114288 ], [ -0.00038998524824238436, -0.003466588192509009, 0.003953521868488927, 0.0000738049688185174, 0.0032853206000207306, -0.0017902010582152032, 0.00046257503105299677, 0.0001612476896976191, 0.000056316426182783096 ], [ -0.0002149409692036732, 0.0008216402861930775, -0.0005170660909039239, 0.0008316766402123791, -0.0006346324513812384, -0.0002151603720111357, 0.0000172160414668005, 0.000017491101378767264, -0.00004691214503699931 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.05112571605357963, 0.02116435987859762, 0.008173944459598535, 0.0016558909213973284 ], [ 0.001960154552540996, 0.012974476903860319, 0.023807759239763207, 0.06410827618817783, -0.17302062751214667, 0.01656438107374649, -0.0024322099580892844, -0.001188720096320416, -0.00019933509908908863 ], [ 0.001280151020774358, -0.007879606698154608, 0.0004218137530486389, -0.024618762408077637, 0.018430490533561498, -0.007463736904350706, 0.0028784464525288267, 0.0009856680274901468, -0.000047395303627375835 ], [ -0.0012731939484903199, -0.000532802345734355, -0.0012890151834846393, -0.0003208065466677398, -0.007184939771098094, 0.0035035644441988164, -0.0014499729743809597, -0.00039550512410016866, 0.00009573129211266765 ], [ 0.0003368679186101539, 0.00012096348829477523, -0.000680293442738886, 0.00014734464591280216, 0.0007803402454429685, -0.0004652781184002224, 0.000004603078380807971, 0.00002578407638735904, 0.00004445708900056725 ] ]

DJLxwsv5hm3peQoU7iMZXRq

{"aspect_ratio": 4.613560663943604, "major_radius": 1.0, "max_elongation": 6.272537937028335, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.07719373560001136, -0.11934579311268295, 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": [[0.6010142604866379, 0.6023578573188229, 0.6072926253552472, 0.61611441699087, 0.6286762356051693, 0.6446552652284988, 0.6636436056645827, 0.6851943521831413, 0.7088488277751832, 0.734153964846904, 0.7606738385485701, 0.7879974194520669, 0.8157437308206534, 0.8435651444712209, 0.8711492979708377, 0.8982199663910033, 0.924537127976585, 0.94989640149837, 0.9741279911212093, 0.9970952451447617, 1.018692913682404, 1.0388451745912004, 1.0575034850620892, 1.0746443071134621, 1.0902667480533061, 1.104390151267535, 1.1170516680904674, 1.1283038377558765, 1.1382121993226098, 1.1468529568758166, 1.1543107171167621, 1.1606763165898104, 1.1660447541916819, 1.1705132432164205, 1.1741793959707252, 1.1771395529171576, 1.1794872673416517, 1.1813119556755232, 1.1826977228126014, 1.1837223710332554, 1.184456600464123, 1.1849634083508396, 1.1852976937855773, 1.1855060738938792, 1.1856269168230844, 1.1856905961547506, 1.1857199705341952, 1.1857310912808132, 1.1857341393338405, 1.1857345906826522, 1.185734605165551], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.2599126239445009}

4.613561

1

6.272538

[ [ 0.6010142604866379, 0.6023578573188229, 0.6072926253552472, 0.61611441699087, 0.6286762356051693, 0.6446552652284988, 0.6636436056645827, 0.6851943521831413, 0.7088488277751832, 0.734153964846904, 0.7606738385485701, 0.7879974194520669, 0.8157437308206534, 0.8435651444712209, 0.8711492979708377, 0.8982199663910033, 0.924537127976585, 0.94989640149837, 0.9741279911212093, 0.9970952451447617, 1.018692913682404, 1.0388451745912004, 1.0575034850620892, 1.0746443071134621, 1.0902667480533061, 1.104390151267535, 1.1170516680904674, 1.1283038377558765, 1.1382121993226098, 1.1468529568758166, 1.1543107171167621, 1.1606763165898104, 1.1660447541916819, 1.1705132432164205, 1.1741793959707252, 1.1771395529171576, 1.1794872673416517, 1.1813119556755232, 1.1826977228126014, 1.1837223710332554, 1.184456600464123, 1.1849634083508396, 1.1852976937855773, 1.1855060738938792, 1.1856269168230844, 1.1856905961547506, 1.1857199705341952, 1.1857310912808132, 1.1857341393338405, 1.1857345906826522, 1.185734605165551 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.07719373560001136, -0.11934579311268295, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.259913

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

DnYTEeCd9BTrmSrksecJGn4

null

false

null

false

D6N3A2FjyHCjH3p4t4wUjxp

Do5teK7ayLLUwLG6vc56A6K

{"qi": 0.001888169250258252, "vacuum_well": -0.15060395446408914, "aspect_ratio": 9.420214855098607, "max_elongation": 6.869397219260104, "average_triangularity": -0.5355836851924588, "axis_magnetic_mirror_ratio": 0.31865241395541194, "edge_magnetic_mirror_ratio": 0.40369510497544076, "aspect_ratio_over_edge_rotational_transform": 17.83152592130652, "flux_compression_in_regions_of_bad_curvature": 1.5306737143613798, "axis_rotational_transform_over_n_field_periods": 0.17849570123260197, "edge_rotational_transform_over_n_field_periods": 0.1760966297681903, "minimum_normalized_magnetic_gradient_scale_length": 4.254238731483521}

9.420215

17.831526

-0.682738

0.318652

0.178496

0.403695

0.176097

1.530674

6.869397

4.254239

0.001888

-0.150604

{"r_cos":[[0.0,0.0,0.0,0.0,0.9985338644823997,-0.038516280775471444,-0.025336258641656152,0.0004166835370901997,-0.0009924403780733415],[0.000718258880588432,-0.009855785864526763,-0.008791459237871793,-0.07127639188660075,0.1459374983892952,0.014274169760918946,0.0006367911510145154,-0.005423470805484776,-0.0019123235034835817],[0.00010025302790362504,-0.0018224588230526101,-0.017951508932338708,0.016350782488202594,-0.012663853216536503,0.002687601379502496,-0.00014378292589902614,0.0014553234211914987,-0.0004091470435378296],[-0.0009607060500492362,-0.00012940380503132553,0.005057666980672544,-0.005202211944146282,0.002617972395839975,-0.0006303527985587871,-0.0001080977116565793,-0.0005414936487674926,0.000029920747352258324],[0.00019413489478158915,0.00039430507473674973,-0.0010375814304757207,0.0007693365732664198,-0.0003977692633500653,-0.00008310522936335338,0.00015696242117773642,-0.0001107546365868193,0.000017015393432154205]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.15765101268341214,0.022071012442366655,0.00025096379943468586,0.0012926755013517033],[-0.00004180290792690571,-0.006854888649538746,0.027969306389054004,-0.08104441674109304,-0.12940831699132915,0.06937216538577116,-0.0029410748061259977,-0.0005834538990370148,0.0011206412385737457],[0.00007463203471143486,0.004176198190906266,-0.01834614192742639,-0.004900276380493523,-0.015235417128813433,-0.0043211331627381255,0.000722837012873033,-0.00026517737960857993,0.0005537321796244015],[-0.0002227626250858869,0.0023081231489151797,0.0015199745433663375,0.002012441567720003,-0.0029995429747933173,0.0034299692906031593,-0.0016444924618170967,0.0009999881522428917,-0.00014395100491293542],[0.0007464915447017643,-0.0008400176029140114,0.001287118804386531,0.0009545756573808414,-0.0005908227669608602,0.0012513242513201796,-0.00008414370215994787,0.00027845476422804627,-0.00005386602187271118]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9985338644823997, -0.038516280775471444, -0.025336258641656152, 0.0004166835370901997, -0.0009924403780733415 ], [ 0.000718258880588432, -0.009855785864526763, -0.008791459237871793, -0.07127639188660075, 0.1459374983892952, 0.014274169760918946, 0.0006367911510145154, -0.005423470805484776, -0.0019123235034835817 ], [ 0.00010025302790362504, -0.0018224588230526101, -0.017951508932338708, 0.016350782488202594, -0.012663853216536503, 0.002687601379502496, -0.00014378292589902614, 0.0014553234211914987, -0.0004091470435378296 ], [ -0.0009607060500492362, -0.00012940380503132553, 0.005057666980672544, -0.005202211944146282, 0.002617972395839975, -0.0006303527985587871, -0.0001080977116565793, -0.0005414936487674926, 0.000029920747352258324 ], [ 0.00019413489478158915, 0.00039430507473674973, -0.0010375814304757207, 0.0007693365732664198, -0.0003977692633500653, -0.00008310522936335338, 0.00015696242117773642, -0.0001107546365868193, 0.000017015393432154205 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.15765101268341214, 0.022071012442366655, 0.00025096379943468586, 0.0012926755013517033 ], [ -0.00004180290792690571, -0.006854888649538746, 0.027969306389054004, -0.08104441674109304, -0.12940831699132915, 0.06937216538577116, -0.0029410748061259977, -0.0005834538990370148, 0.0011206412385737457 ], [ 0.00007463203471143486, 0.004176198190906266, -0.01834614192742639, -0.004900276380493523, -0.015235417128813433, -0.0043211331627381255, 0.000722837012873033, -0.00026517737960857993, 0.0005537321796244015 ], [ -0.0002227626250858869, 0.0023081231489151797, 0.0015199745433663375, 0.002012441567720003, -0.0029995429747933173, 0.0034299692906031593, -0.0016444924618170967, 0.0009999881522428917, -0.00014395100491293542 ], [ 0.0007464915447017643, -0.0008400176029140114, 0.001287118804386531, 0.0009545756573808414, -0.0005908227669608602, 0.0012513242513201796, -0.00008414370215994787, 0.00027845476422804627, -0.00005386602187271118 ] ]

DFmLVCm3X4o2u75WBLR5zbw

{"aspect_ratio": 11.814241578396182, "major_radius": 1.0, "max_elongation": 6.59140925136076, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2873171747649323, 0.18943373885453227, 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": [[0.7331719920480724, 0.7331719936026382, 0.7331720824440254, 0.7331729523788544, 0.733177076924275, 0.7331903707078657, 0.7332241541410843, 0.7332972627925954, 0.7334381629229291, 0.7336869511702967, 0.7340971310936367, 0.7347370729268637, 0.735691075873173, 0.737059964807749, 0.7389611655179978, 0.7415282147039801, 0.7449096729730822, 0.7492674210611517, 0.7547743315569432, 0.7616113205521465, 0.7699637959378409, 0.7800175315726233, 0.7919540093132011, 0.8059452839848817, 0.8221484398441601, 0.8406997210251302, 0.8617084329552775, 0.8852507268808173, 0.9113633955858843, 0.9400378252815382, 0.9712142666766559, 1.0047766076721851, 1.04054785126249, 1.0782865254992093, 1.117684278326646, 1.1583649394792714, 1.1998853654689756, 1.2417384234287843, 1.2833585173075193, 1.3241301187196912, 1.3633998393775821, 1.4004926799661277, 1.434733223953721, 1.4654727356581239, 1.4921234094633773, 1.514201479667751, 1.5313817076831002, 1.5435673301147061, 1.5509830795204378, 1.5543089200739808, 1.5549191680989525], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4192815113319498}

11.814242

1

6.591409

[ [ 0.7331719920480724, 0.7331719936026382, 0.7331720824440254, 0.7331729523788544, 0.733177076924275, 0.7331903707078657, 0.7332241541410843, 0.7332972627925954, 0.7334381629229291, 0.7336869511702967, 0.7340971310936367, 0.7347370729268637, 0.735691075873173, 0.737059964807749, 0.7389611655179978, 0.7415282147039801, 0.7449096729730822, 0.7492674210611517, 0.7547743315569432, 0.7616113205521465, 0.7699637959378409, 0.7800175315726233, 0.7919540093132011, 0.8059452839848817, 0.8221484398441601, 0.8406997210251302, 0.8617084329552775, 0.8852507268808173, 0.9113633955858843, 0.9400378252815382, 0.9712142666766559, 1.0047766076721851, 1.04054785126249, 1.0782865254992093, 1.117684278326646, 1.1583649394792714, 1.1998853654689756, 1.2417384234287843, 1.2833585173075193, 1.3241301187196912, 1.3633998393775821, 1.4004926799661277, 1.434733223953721, 1.4654727356581239, 1.4921234094633773, 1.514201479667751, 1.5313817076831002, 1.5435673301147061, 1.5509830795204378, 1.5543089200739808, 1.5549191680989525 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2873171747649323, 0.18943373885453227, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.419282

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

DNL2WvJbsDxTrUnzff3iTXR

null

false

null

false

DGX9qcMDbtGBU9iS29974pj

DEBiDVcsCkYWryUqAacajND

{"qi": 0.006133734512062332, "vacuum_well": -0.09938171246752157, "aspect_ratio": 9.69867157107461, "max_elongation": 5.832605363772918, "average_triangularity": -0.6528466533267379, "axis_magnetic_mirror_ratio": 0.2450735478407822, "edge_magnetic_mirror_ratio": 0.3375528276695126, "aspect_ratio_over_edge_rotational_transform": 61.85945544220959, "flux_compression_in_regions_of_bad_curvature": 1.3843308903815323, "axis_rotational_transform_over_n_field_periods": 0.2078509915774967, "edge_rotational_transform_over_n_field_periods": 0.1567855956982246, "minimum_normalized_magnetic_gradient_scale_length": 3.4766025808553556}

9.698672

61.859455

-0.614215

0.245074

0.207851

0.337553

0.156786

1.384331

5.832605

3.476603

0.006134

-0.099382

{"r_cos":[[0.0,0.0,0.0,0.0,0.9949739843693649,-0.11340940351998034,-0.18505450955325156,0.02594500593731936,-0.0038657881146687344],[0.004750356577842226,-0.04190957845231799,0.05324814417200612,0.033294013439513145,0.08530948042640257,-0.02866842578458115,0.07295153822072281,-0.007051606348223008,0.0009641096121354104],[-0.000013295950610809105,-0.0053558927749517374,-0.010251589558138458,0.002750391192518381,0.010261797335263112,0.00038394107695868167,0.0015378357756693417,0.0029637712872481892,-0.00007136560266633524],[-0.0006297059927636494,0.0025421381286452006,-0.0005917646220219089,-0.002662640640904807,0.0010316579094476457,-0.001589570519033892,0.0004086658225200643,-0.0004084223181190739,0.0009588714908198815],[-0.00011998636020217175,-0.00019188307621221406,-0.00028478098741106496,0.0005944367091566456,-0.0002759623539466613,0.0003479748154472744,-0.00009732595878396632,-0.0004781989011049542,0.00006005215813393706]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1363606510858434,-0.09612098676778474,-0.08022375391338857,0.009417396692947567],[0.0038810232487659396,-0.02277771617244949,0.05034444120701798,-0.08575008468494602,-0.0832086422616597,0.09745461849553697,-0.022157983333442204,0.00912437161168781,0.00014286051873353472],[0.0015696567336947317,0.0005396453121763673,-0.0037638970613133238,0.002882063425943799,-0.011778990923288322,-0.006384632735919864,0.0009030765915421588,-0.00013783287169480095,0.0006184659257284916],[-0.0001625276049888174,0.001520352498574934,-0.002841920437769593,0.0008238164475702286,-0.006506916235180723,-0.002100504221826144,-0.0029686603966868346,0.00045405514514845584,-0.00017277609361917036],[0.00005671465512200463,-0.000057030238687637744,0.0006401638655971377,0.00037471944930759517,-0.0002474026559363347,0.00016680588825132027,-0.0004104661866236205,-0.00009095196908021423,-0.00011503098635999229]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9949739843693649, -0.11340940351998034, -0.18505450955325156, 0.02594500593731936, -0.0038657881146687344 ], [ 0.004750356577842226, -0.04190957845231799, 0.05324814417200612, 0.033294013439513145, 0.08530948042640257, -0.02866842578458115, 0.07295153822072281, -0.007051606348223008, 0.0009641096121354104 ], [ -0.000013295950610809105, -0.0053558927749517374, -0.010251589558138458, 0.002750391192518381, 0.010261797335263112, 0.00038394107695868167, 0.0015378357756693417, 0.0029637712872481892, -0.00007136560266633524 ], [ -0.0006297059927636494, 0.0025421381286452006, -0.0005917646220219089, -0.002662640640904807, 0.0010316579094476457, -0.001589570519033892, 0.0004086658225200643, -0.0004084223181190739, 0.0009588714908198815 ], [ -0.00011998636020217175, -0.00019188307621221406, -0.00028478098741106496, 0.0005944367091566456, -0.0002759623539466613, 0.0003479748154472744, -0.00009732595878396632, -0.0004781989011049542, 0.00006005215813393706 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1363606510858434, -0.09612098676778474, -0.08022375391338857, 0.009417396692947567 ], [ 0.0038810232487659396, -0.02277771617244949, 0.05034444120701798, -0.08575008468494602, -0.0832086422616597, 0.09745461849553697, -0.022157983333442204, 0.00912437161168781, 0.00014286051873353472 ], [ 0.0015696567336947317, 0.0005396453121763673, -0.0037638970613133238, 0.002882063425943799, -0.011778990923288322, -0.006384632735919864, 0.0009030765915421588, -0.00013783287169480095, 0.0006184659257284916 ], [ -0.0001625276049888174, 0.001520352498574934, -0.002841920437769593, 0.0008238164475702286, -0.006506916235180723, -0.002100504221826144, -0.0029686603966868346, 0.00045405514514845584, -0.00017277609361917036 ], [ 0.00005671465512200463, -0.000057030238687637744, 0.0006401638655971377, 0.00037471944930759517, -0.0002474026559363347, 0.00016680588825132027, -0.0004104661866236205, -0.00009095196908021423, -0.00011503098635999229 ] ]

DcCgBegjojJXu3MxBKrNtx7

{"aspect_ratio": 11.056780566679356, "major_radius": 1.0, "max_elongation": 5.530258118682379, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.01827555776069009, 0.0581303647479085, 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": [[0.7432556863906034, 0.7432557418476833, 0.7432580433977336, 0.7432760796476983, 0.7433475699899295, 0.7435450454395048, 0.7439818094536886, 0.7448127850773965, 0.7462305665904609, 0.7484574261421297, 0.7517342461884996, 0.7563074344688501, 0.7624148739293506, 0.7702718938269717, 0.780058140003633, 0.7919060865610327, 0.8058917790047806, 0.8220282390738268, 0.8402618008701787, 0.8604714921379452, 0.8824714281107318, 0.9060160518639561, 0.9308079374347481, 0.9565077723192736, 0.9827460559659178, 1.0091359916789917, 1.0352870115875965, 1.0608183582380017, 1.0853721517445254, 1.1086253977007552, 1.1303004372483358, 1.150173405491823, 1.1680803461347835, 1.1839207267244412, 1.1976582077837072, 1.2093186375461427, 1.218985368749991, 1.2267921213168682, 1.2329137405928927, 1.2375553204967624, 1.240940269139538, 1.2432979853025519, 1.2448518807991458, 1.2458085183814225, 1.2463486283121088, 1.2466207079787546, 1.2467377842557341, 1.2467777097325636, 1.2467870460099564, 1.2467881196875628, 1.2467881416285178], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2877987268926946}

11.056781

1

5.530258

[ [ 0.7432556863906034, 0.7432557418476833, 0.7432580433977336, 0.7432760796476983, 0.7433475699899295, 0.7435450454395048, 0.7439818094536886, 0.7448127850773965, 0.7462305665904609, 0.7484574261421297, 0.7517342461884996, 0.7563074344688501, 0.7624148739293506, 0.7702718938269717, 0.780058140003633, 0.7919060865610327, 0.8058917790047806, 0.8220282390738268, 0.8402618008701787, 0.8604714921379452, 0.8824714281107318, 0.9060160518639561, 0.9308079374347481, 0.9565077723192736, 0.9827460559659178, 1.0091359916789917, 1.0352870115875965, 1.0608183582380017, 1.0853721517445254, 1.1086253977007552, 1.1303004372483358, 1.150173405491823, 1.1680803461347835, 1.1839207267244412, 1.1976582077837072, 1.2093186375461427, 1.218985368749991, 1.2267921213168682, 1.2329137405928927, 1.2375553204967624, 1.240940269139538, 1.2432979853025519, 1.2448518807991458, 1.2458085183814225, 1.2463486283121088, 1.2466207079787546, 1.2467377842557341, 1.2467777097325636, 1.2467870460099564, 1.2467881196875628, 1.2467881416285178 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.01827555776069009, 0.0581303647479085, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.287799

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

DH2Xd9hfb9yeHKYdN6mdr7E

null

false

null

false

D4HNVTNvPtUmFvTnshsArzA

DFcU28iTstwTBwaCssgVaF9

{"qi": 0.003154535002426379, "vacuum_well": -0.08847714585719112, "aspect_ratio": 9.443870706851161, "max_elongation": 7.896115198256459, "average_triangularity": 0.06418576487879471, "axis_magnetic_mirror_ratio": 0.40542566315557454, "edge_magnetic_mirror_ratio": 0.42778755766994075, "aspect_ratio_over_edge_rotational_transform": 16.490295889564013, "flux_compression_in_regions_of_bad_curvature": 1.1033356592445518, "axis_rotational_transform_over_n_field_periods": 0.1291906592724465, "edge_rotational_transform_over_n_field_periods": 0.11453852338486872, "minimum_normalized_magnetic_gradient_scale_length": 8.48066017388226}

9.443871

16.490296

0.022892

0.405426

0.129191

0.427788

0.114539

1.103336

7.896115

8.48066

0.003155

-0.088477

{"r_cos":[[0.0,0.0,0.0,0.0,0.9955201911712052,0.024383812028973714,-0.005032805681023808,-0.0003575444573703495,-0.00007828159971724801],[-0.00013405219024254422,-0.0006699658858262755,-0.01629525700649015,-0.03124239779401778,0.09735602452701402,-0.012852954850966448,-0.003597112395866635,-0.0008814243314922149,0.0001338427219760547],[0.00012728747784487209,0.001911983716124613,0.011064383810130614,0.01054396580408009,-0.010320155775238243,0.0030496138640634983,-0.00028822529897684114,0.0002467700744339953,-0.000035451411973342],[0.0005560794898876046,0.0008494005103647577,-0.0020029857048633392,0.0022293178076007816,0.0033634160473425658,-0.006513226228189508,0.0036759172044978994,-0.0010950832209737065,0.00019412716741652234],[0.0000148392944451206,-0.000030482396851110442,-0.00003832614303117939,-0.0014995501215543283,0.00004614344581306833,0.0008603114756768498,-0.0005831123834709761,0.00021258413246854203,-0.000012757433762319452]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.02852296663355451,0.0009870446467771824,0.0003141752880590756,0.00015517892956509044],[-0.0000941724420412697,0.0005686167439099123,-0.004079115608579084,-0.07901372683630155,-0.15195822785274365,0.04175564015024093,-0.007612937684568421,0.0012143963419443988,-9.305115346924774e-6],[0.00030563687076039,0.0032815739197621257,0.014235814429565265,0.00915935101075,-0.03731162109238095,0.00843638408003001,-0.00005308180682755525,-0.00004109347766377471,-0.00008291744862906129],[0.0000986798230180356,0.0004684439817553192,0.00320853197992593,0.0058956445752172655,0.0003656914799330483,-0.0034012451548436516,0.0011777853278230688,-0.00028150489953312975,-0.000014260624800871708],[-0.00008188119911888936,-0.0005164931403249277,-0.0002995900304997286,0.00043876164140199664,0.0004565901358699149,-0.0005972040022554483,-0.0001759236841307203,0.00003041644566974933,0.00002753721539353591]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9955201911712052, 0.024383812028973714, -0.005032805681023808, -0.0003575444573703495, -0.00007828159971724801 ], [ -0.00013405219024254422, -0.0006699658858262755, -0.01629525700649015, -0.03124239779401778, 0.09735602452701402, -0.012852954850966448, -0.003597112395866635, -0.0008814243314922149, 0.0001338427219760547 ], [ 0.00012728747784487209, 0.001911983716124613, 0.011064383810130614, 0.01054396580408009, -0.010320155775238243, 0.0030496138640634983, -0.00028822529897684114, 0.0002467700744339953, -0.000035451411973342 ], [ 0.0005560794898876046, 0.0008494005103647577, -0.0020029857048633392, 0.0022293178076007816, 0.0033634160473425658, -0.006513226228189508, 0.0036759172044978994, -0.0010950832209737065, 0.00019412716741652234 ], [ 0.0000148392944451206, -0.000030482396851110442, -0.00003832614303117939, -0.0014995501215543283, 0.00004614344581306833, 0.0008603114756768498, -0.0005831123834709761, 0.00021258413246854203, -0.000012757433762319452 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.02852296663355451, 0.0009870446467771824, 0.0003141752880590756, 0.00015517892956509044 ], [ -0.0000941724420412697, 0.0005686167439099123, -0.004079115608579084, -0.07901372683630155, -0.15195822785274365, 0.04175564015024093, -0.007612937684568421, 0.0012143963419443988, -0.000009305115346924774 ], [ 0.00030563687076039, 0.0032815739197621257, 0.014235814429565265, 0.00915935101075, -0.03731162109238095, 0.00843638408003001, -0.00005308180682755525, -0.00004109347766377471, -0.00008291744862906129 ], [ 0.0000986798230180356, 0.0004684439817553192, 0.00320853197992593, 0.0058956445752172655, 0.0003656914799330483, -0.0034012451548436516, 0.0011777853278230688, -0.00028150489953312975, -0.000014260624800871708 ], [ -0.00008188119911888936, -0.0005164931403249277, -0.0002995900304997286, 0.00043876164140199664, 0.0004565901358699149, -0.0005972040022554483, -0.0001759236841307203, 0.00003041644566974933, 0.00002753721539353591 ] ]

DAuq3utrHKCf6Am8rSzAu2Y

{"aspect_ratio": 9.906824188195532, "major_radius": 1.0, "max_elongation": 6.764816889559034, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.1177681796013804, 0.32807385020299573, 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": [[0.7035128795646846, 0.7035129221876829, 0.7035141641590507, 0.703522186586474, 0.7035504862235568, 0.703623201660246, 0.7037771303386106, 0.7040630960314386, 0.7045467146232346, 0.7053086006928193, 0.7064440545823455, 0.7080622680822071, 0.7102850860339308, 0.7132453607960183, 0.7170849364938234, 0.721952300207106, 0.727999937694145, 0.7353814318853049, 0.7442483431907577, 0.7547469116549946, 0.7670146221605885, 0.7811766752477338, 0.7973424076932665, 0.8156017088089687, 0.8360214805078208, 0.858642191591821, 0.8834745794912933, 0.9104965559035182, 0.9396503765278093, 0.9708401394903119, 1.0039296822446355, 1.038740952920468, 1.0750529395325652, 1.112601249508306, 1.1510784431240138, 1.1901352383271275, 1.2293827220119073, 1.2683957254861096, 1.3067175516581733, 1.3438662815089928, 1.3793429426056192, 1.4126419007994855, 1.4432639515214705, 1.470732763775882, 1.4946156147385359, 1.5145498414793295, 1.5302773442338982, 1.5416913522694835, 1.548904178168267, 1.5523585335813126, 1.5530780403928546], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6550570309194859}

9.906824

1

6.764817

[ [ 0.7035128795646846, 0.7035129221876829, 0.7035141641590507, 0.703522186586474, 0.7035504862235568, 0.703623201660246, 0.7037771303386106, 0.7040630960314386, 0.7045467146232346, 0.7053086006928193, 0.7064440545823455, 0.7080622680822071, 0.7102850860339308, 0.7132453607960183, 0.7170849364938234, 0.721952300207106, 0.727999937694145, 0.7353814318853049, 0.7442483431907577, 0.7547469116549946, 0.7670146221605885, 0.7811766752477338, 0.7973424076932665, 0.8156017088089687, 0.8360214805078208, 0.858642191591821, 0.8834745794912933, 0.9104965559035182, 0.9396503765278093, 0.9708401394903119, 1.0039296822446355, 1.038740952920468, 1.0750529395325652, 1.112601249508306, 1.1510784431240138, 1.1901352383271275, 1.2293827220119073, 1.2683957254861096, 1.3067175516581733, 1.3438662815089928, 1.3793429426056192, 1.4126419007994855, 1.4432639515214705, 1.470732763775882, 1.4946156147385359, 1.5145498414793295, 1.5302773442338982, 1.5416913522694835, 1.548904178168267, 1.5523585335813126, 1.5530780403928546 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.1177681796013804, 0.32807385020299573, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.655057

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

DbbzxKMwCdbVZu22DqR83gU

null

false

null

false

DRaYWLsv5vWNuJgoKcho7kg

DNJj7sGAQYK76N8NQzVsBzj

{"qi": 0.012233873374889528, "vacuum_well": -0.06032614156221685, "aspect_ratio": 9.338489401708827, "max_elongation": 4.980439025845601, "average_triangularity": 0.0422685213631891, "axis_magnetic_mirror_ratio": 0.12685240866922415, "edge_magnetic_mirror_ratio": 0.23443941694144627, "aspect_ratio_over_edge_rotational_transform": 9.266664339381347, "flux_compression_in_regions_of_bad_curvature": 1.1722466921120474, "axis_rotational_transform_over_n_field_periods": 0.20071493884314834, "edge_rotational_transform_over_n_field_periods": 0.2015501815906343, "minimum_normalized_magnetic_gradient_scale_length": 8.335434131494043}

9.338489

9.266664

-0.043364

0.126852

0.200715

0.234439

0.20155

1.172247

4.980439

8.335434

0.012234

-0.060326

{"r_cos":[[0.0,0.0,0.0,0.0,0.9985847347733232,-0.018412914683385344,-0.012672943059341378,0.0013901745299973406,0.00033337576885421896],[0.0009106567339005579,-0.0004282089378734091,-0.013861705552540276,-0.052625302196811705,0.15510179846576191,-0.014391599562706126,-0.001571352988356034,-0.0002778465015535176,-0.00044946547985748775],[-0.0001280339370313535,0.0020982277911706384,0.006019468741160893,0.02706485553530723,-0.02854865682071316,0.006631825124678203,-0.001199980759134676,-0.0002826258005021069,0.00007456063089203464],[0.00038400285966864577,0.00011160402158241254,0.0008670281084450406,-0.0027500881621724837,0.0018870599683794413,0.0012149561119685725,-0.0007891605140448448,-5.127262402513597e-6,-0.00005162981463499404],[-0.00016966096358854565,-0.00014788426664981517,0.000030044735076460922,-0.0005002025562730822,0.00041612315066151366,-0.00036876638495837814,0.0002993453627114901,-0.00011903155392692686,0.000042009309234734984]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.09919399587960458,0.006100661675618208,0.0007687420534460468,-0.0001141308757487622],[0.00011509751011985806,-0.0005489194714914985,-0.005448052886745735,-0.0683513719652693,-0.09115807930223639,0.030810739942489486,-0.004495384118497216,0.0021710665453534934,0.00013313294908689132],[0.00043661440836373073,0.0017268052015188085,0.0026794758080343484,-0.004143372759303388,-0.0014682009088106817,-0.0019062020852830437,0.0011734722010895158,0.000137368454202503,-0.00019915850632192783],[0.000041758111539204314,0.0004831563294667627,-0.0007148446721675404,0.0036517354263381255,0.002002507427565538,-0.0022136783883412027,0.001194147448806716,-0.00012083456173040517,0.00005529151179926027],[0.00005538283981724552,-0.00015677514049596954,0.0006169039494228448,-0.00035647671119068923,-0.0005549107306549085,0.00015328999152340952,-0.0002936670910793052,0.00012805865808218617,-0.00006048632609963683]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9985847347733232, -0.018412914683385344, -0.012672943059341378, 0.0013901745299973406, 0.00033337576885421896 ], [ 0.0009106567339005579, -0.0004282089378734091, -0.013861705552540276, -0.052625302196811705, 0.15510179846576191, -0.014391599562706126, -0.001571352988356034, -0.0002778465015535176, -0.00044946547985748775 ], [ -0.0001280339370313535, 0.0020982277911706384, 0.006019468741160893, 0.02706485553530723, -0.02854865682071316, 0.006631825124678203, -0.001199980759134676, -0.0002826258005021069, 0.00007456063089203464 ], [ 0.00038400285966864577, 0.00011160402158241254, 0.0008670281084450406, -0.0027500881621724837, 0.0018870599683794413, 0.0012149561119685725, -0.0007891605140448448, -0.000005127262402513597, -0.00005162981463499404 ], [ -0.00016966096358854565, -0.00014788426664981517, 0.000030044735076460922, -0.0005002025562730822, 0.00041612315066151366, -0.00036876638495837814, 0.0002993453627114901, -0.00011903155392692686, 0.000042009309234734984 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.09919399587960458, 0.006100661675618208, 0.0007687420534460468, -0.0001141308757487622 ], [ 0.00011509751011985806, -0.0005489194714914985, -0.005448052886745735, -0.0683513719652693, -0.09115807930223639, 0.030810739942489486, -0.004495384118497216, 0.0021710665453534934, 0.00013313294908689132 ], [ 0.00043661440836373073, 0.0017268052015188085, 0.0026794758080343484, -0.004143372759303388, -0.0014682009088106817, -0.0019062020852830437, 0.0011734722010895158, 0.000137368454202503, -0.00019915850632192783 ], [ 0.000041758111539204314, 0.0004831563294667627, -0.0007148446721675404, 0.0036517354263381255, 0.002002507427565538, -0.0022136783883412027, 0.001194147448806716, -0.00012083456173040517, 0.00005529151179926027 ], [ 0.00005538283981724552, -0.00015677514049596954, 0.0006169039494228448, -0.00035647671119068923, -0.0005549107306549085, 0.00015328999152340952, -0.0002936670910793052, 0.00012805865808218617, -0.00006048632609963683 ] ]

DGsjGeZMk5hjGL4DyKR4LAP

{"aspect_ratio": 8.658575623749499, "major_radius": 1.0, "max_elongation": 4.401854024377178, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.04278036185369399, 0.304959526657198, 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": [[0.8647511870821676, 0.8647516690489878, 0.8647604068779027, 0.8648019088670856, 0.8649186309334879, 0.8651688685538338, 0.8656235636661902, 0.8663626550338532, 0.8674712937583035, 0.8690361199772471, 0.8711417303034523, 0.8738674250491028, 0.8772842971766235, 0.8814527055243603, 0.886420160258986, 0.8922196370764932, 0.8988683274352033, 0.9063668244417593, 0.914698737518272, 0.9238307233774137, 0.9337129159257064, 0.9442797333608001, 0.9554510368200945, 0.9671336113950952, 0.9792229370861337, 0.99160521428649, 1.0041596056143656, 1.0167606533237106, 1.02928082909437, 1.041593170706412, 1.0535739579240784, 1.065105377835312, 1.0760781278988465, 1.086393903029204, 1.0959677111883037, 1.1047299601386025, 1.1126282562343721, 1.1196288543715207, 1.1257176964669813, 1.1309009740777194, 1.135205148973127, 1.1386763636109298, 1.1413791714896946, 1.1433945151908695, 1.1448168774679992, 1.1457505277980793, 1.146304783023487, 1.146588195353246, 1.1467015723555205, 1.14672971680079, 1.146731729197415], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.9959952682418122}

8.658576

1

4.401854

[ [ 0.8647511870821676, 0.8647516690489878, 0.8647604068779027, 0.8648019088670856, 0.8649186309334879, 0.8651688685538338, 0.8656235636661902, 0.8663626550338532, 0.8674712937583035, 0.8690361199772471, 0.8711417303034523, 0.8738674250491028, 0.8772842971766235, 0.8814527055243603, 0.886420160258986, 0.8922196370764932, 0.8988683274352033, 0.9063668244417593, 0.914698737518272, 0.9238307233774137, 0.9337129159257064, 0.9442797333608001, 0.9554510368200945, 0.9671336113950952, 0.9792229370861337, 0.99160521428649, 1.0041596056143656, 1.0167606533237106, 1.02928082909437, 1.041593170706412, 1.0535739579240784, 1.065105377835312, 1.0760781278988465, 1.086393903029204, 1.0959677111883037, 1.1047299601386025, 1.1126282562343721, 1.1196288543715207, 1.1257176964669813, 1.1309009740777194, 1.135205148973127, 1.1386763636109298, 1.1413791714896946, 1.1433945151908695, 1.1448168774679992, 1.1457505277980793, 1.146304783023487, 1.146588195353246, 1.1467015723555205, 1.14672971680079, 1.146731729197415 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.04278036185369399, 0.304959526657198, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.995995

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

D3F7fNvaKZkU87oA6sYWvuA

null

false

null

false

DJL5iAbmDNvMB8q7QuuvHPz

D33mypbouAyD4wLdSGhcvgU

{"qi": 0.03350513926442998, "vacuum_well": -0.13382092029733628, "aspect_ratio": 9.579745657329935, "max_elongation": 6.667589128764057, "average_triangularity": -0.4954872440135015, "axis_magnetic_mirror_ratio": 0.34007375751445296, "edge_magnetic_mirror_ratio": 0.4184949247235154, "aspect_ratio_over_edge_rotational_transform": 67.74595209444003, "flux_compression_in_regions_of_bad_curvature": 1.3035775622953452, "axis_rotational_transform_over_n_field_periods": 0.13276624610287135, "edge_rotational_transform_over_n_field_periods": 0.14140690862201571, "minimum_normalized_magnetic_gradient_scale_length": 2.457666186310172}

9.579746

67.745952

-0.669938

0.340074

0.132766

0.418495

0.141407

1.303578

6.667589

2.457666

0.033505

-0.133821

{"r_cos":[[0.0,0.0,0.0,0.0,0.9947237159654274,-0.10672649339414739,-0.18806615619339132,0.0218208207593924,-0.004512362817389266],[0.006707756964272942,-0.03834265639806648,0.04566844469221748,0.0404557899119959,0.09019759510259681,-0.0208344706370296,0.05419921065512687,-0.0007461745717522311,-0.0008746755592399557],[0.00010921445029069659,-0.0005688984230951379,-0.0017276067262869581,-0.00020967506814211173,0.0068909209759299974,-0.0013406992430668651,-0.0012800017130822853,0.007857902656025522,0.0001884728418532023],[-0.0009984218968544778,-0.0007524300265869713,-0.0018179105912245071,-0.00529015298020806,0.0023869255538823387,0.003322657840159082,0.0013815619428249105,-0.00012346399408838798,0.0005445102907294841],[-0.00017368096612247144,-0.000043703175756669145,-0.00026808743166226905,0.00039384719357804694,0.0011966647401890716,0.00002628332492823557,-0.0006613780543730851,-0.0002140764291481546,0.00004202815464317484]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.1344301015444248,-0.1134592435599214,-0.0758294977294803,0.004541890614074794],[0.003803996572920555,-0.03366844607392619,0.06645409509804978,-0.05937844461831463,-0.10865706855345267,0.09939723930577382,-0.01643906584211175,0.003669966274275958,0.0010313836882469719],[0.0003716773220882554,0.001866179138514824,0.00009543543776529759,0.004641391740497984,-0.030173411708269964,-0.0037737702850268204,0.014635279513803095,-0.002133918282782312,0.0007108291872634501],[9.084804148716633e-6,0.0015518279785484235,-0.00006335650937386414,0.0008254699271256688,-0.004510335608908629,-0.0020826193319583666,-0.0008765594372145943,0.0017152457323643983,0.0002795671662650694],[0.00017961660839860855,0.0003221677618452397,-0.00010511862842169464,0.001261250747984097,-0.0008037745080875531,-0.0012113237601907715,0.0005769154388075676,0.00016390819162188675,0.00009792683892906966]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9947237159654274, -0.10672649339414739, -0.18806615619339132, 0.0218208207593924, -0.004512362817389266 ], [ 0.006707756964272942, -0.03834265639806648, 0.04566844469221748, 0.0404557899119959, 0.09019759510259681, -0.0208344706370296, 0.05419921065512687, -0.0007461745717522311, -0.0008746755592399557 ], [ 0.00010921445029069659, -0.0005688984230951379, -0.0017276067262869581, -0.00020967506814211173, 0.0068909209759299974, -0.0013406992430668651, -0.0012800017130822853, 0.007857902656025522, 0.0001884728418532023 ], [ -0.0009984218968544778, -0.0007524300265869713, -0.0018179105912245071, -0.00529015298020806, 0.0023869255538823387, 0.003322657840159082, 0.0013815619428249105, -0.00012346399408838798, 0.0005445102907294841 ], [ -0.00017368096612247144, -0.000043703175756669145, -0.00026808743166226905, 0.00039384719357804694, 0.0011966647401890716, 0.00002628332492823557, -0.0006613780543730851, -0.0002140764291481546, 0.00004202815464317484 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.1344301015444248, -0.1134592435599214, -0.0758294977294803, 0.004541890614074794 ], [ 0.003803996572920555, -0.03366844607392619, 0.06645409509804978, -0.05937844461831463, -0.10865706855345267, 0.09939723930577382, -0.01643906584211175, 0.003669966274275958, 0.0010313836882469719 ], [ 0.0003716773220882554, 0.001866179138514824, 0.00009543543776529759, 0.004641391740497984, -0.030173411708269964, -0.0037737702850268204, 0.014635279513803095, -0.002133918282782312, 0.0007108291872634501 ], [ 0.000009084804148716633, 0.0015518279785484235, -0.00006335650937386414, 0.0008254699271256688, -0.004510335608908629, -0.0020826193319583666, -0.0008765594372145943, 0.0017152457323643983, 0.0002795671662650694 ], [ 0.00017961660839860855, 0.0003221677618452397, -0.00010511862842169464, 0.001261250747984097, -0.0008037745080875531, -0.0012113237601907715, 0.0005769154388075676, 0.00016390819162188675, 0.00009792683892906966 ] ]

D9upDkNSnKMYd4khd988mSX

{"aspect_ratio": 10.121757714256987, "major_radius": 1.0, "max_elongation": 6.572403145772286, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.18557647113593617, -0.1936507779508595, 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": [[0.7029603797751967, 0.7029604238336684, 0.7029617991668968, 0.7029710363054698, 0.7030044337043163, 0.7030916682239755, 0.703278403016421, 0.7036279206341474, 0.7042218321908229, 0.7051599251156695, 0.7065592191200813, 0.7085523046926585, 0.7112850417458431, 0.7149136984542268, 0.7196016121312923, 0.7255154553559325, 0.7328211915889294, 0.7416798052825497, 0.7522428920306243, 0.7646481946640152, 0.7790151713889609, 0.7954406821076173, 0.8139948789595802, 0.8347173868839259, 0.8576138596228204, 0.8826529960655393, 0.909764101157296, 0.9388352747576536, 0.9697123108104919, 1.0021983879573624, 1.0360546312567236, 1.071001622921278, 1.1067219378996027, 1.142863777633977, 1.1790457723270347, 1.214863018414583, 1.2498944134905554, 1.283711345410108, 1.315887785346739, 1.3460118256677005, 1.3736986918155596, 1.3986052416862513, 1.4204459442320352, 1.4390102977101893, 1.4541816008726896, 1.4659569153435448, 1.474467928975943, 1.4800021879739416, 1.4830236434177042, 1.4841900638255376, 1.4843590670343172], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.153609897352406}

10.121758

1

6.572403

[ [ 0.7029603797751967, 0.7029604238336684, 0.7029617991668968, 0.7029710363054698, 0.7030044337043163, 0.7030916682239755, 0.703278403016421, 0.7036279206341474, 0.7042218321908229, 0.7051599251156695, 0.7065592191200813, 0.7085523046926585, 0.7112850417458431, 0.7149136984542268, 0.7196016121312923, 0.7255154553559325, 0.7328211915889294, 0.7416798052825497, 0.7522428920306243, 0.7646481946640152, 0.7790151713889609, 0.7954406821076173, 0.8139948789595802, 0.8347173868839259, 0.8576138596228204, 0.8826529960655393, 0.909764101157296, 0.9388352747576536, 0.9697123108104919, 1.0021983879573624, 1.0360546312567236, 1.071001622921278, 1.1067219378996027, 1.142863777633977, 1.1790457723270347, 1.214863018414583, 1.2498944134905554, 1.283711345410108, 1.315887785346739, 1.3460118256677005, 1.3736986918155596, 1.3986052416862513, 1.4204459442320352, 1.4390102977101893, 1.4541816008726896, 1.4659569153435448, 1.474467928975943, 1.4800021879739416, 1.4830236434177042, 1.4841900638255376, 1.4843590670343172 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.18557647113593617, -0.1936507779508595, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.15361

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

DPk4tdy2ugRWnuFTC4xUB3M

null

false

null

false

DFWsNfxxEjSJ4qAF6c2dX9T

DWByyAbmSHKemNRNTSLfe6Q

{"qi": 0.029145007015804122, "vacuum_well": -0.03358527619262512, "aspect_ratio": 8.618646855625368, "max_elongation": 5.651714757924471, "average_triangularity": -0.5178280196051431, "axis_magnetic_mirror_ratio": 0.5301649707411609, "edge_magnetic_mirror_ratio": 0.8021162488169391, "aspect_ratio_over_edge_rotational_transform": 8.374920432915099, "flux_compression_in_regions_of_bad_curvature": 1.1480616161537829, "axis_rotational_transform_over_n_field_periods": 0.22220478917005937, "edge_rotational_transform_over_n_field_periods": 0.20582038777950357, "minimum_normalized_magnetic_gradient_scale_length": 3.5018732075835284}

8.618647

8.37492

-0.801537

0.530165

0.222205

0.802116

0.20582

1.148062

5.651715

3.501873

0.029145

-0.033585

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.06585257825096727,-0.02200934589012789,0.0002742277718193421,0.0008406623276428458],[-0.0006325935685404505,-0.0032174298112059886,0.0284289412707453,0.031231286271580054,0.10225102445535611,-0.029594164554088476,-0.008159675110103709,-0.00032397087468790547,0.00037023758930197054],[0.000536388409509005,0.0049584592589858,-0.025660851663968753,0.00830960743336298,-0.0165992332325725,0.0025409020515116554,-0.0014602006949882007,-0.0007080309312421933,0.00012389859952162952],[-0.0006045987910153917,-0.0034876077564656187,0.006123585222250077,0.001453050727054534,0.0007842697748297626,0.00128415451235271,-0.0011582181174964504,0.00002426556816135291,-0.00011193117528312304],[0.00026106547440920365,0.0010347313696440624,-0.0017237531266436385,0.0006284038882604526,-0.00015129015137493786,-0.000550757368073633,-0.0002490924314468312,0.00015205227271726963,-0.00004729423409819994]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.04592487520577557,0.00762953350782306,-0.0015772974408186891,-0.0007406625460988029],[0.0011180915279538433,0.0015639518977347163,0.03064769471141316,0.04689536421560403,-0.1606913649649887,-0.005404487570860678,0.004220620267021221,0.0009060132111232365,0.0003952945428151431],[-0.001073242434863671,0.0016178439309759585,-0.01911917567028569,-0.012650925457023296,-0.004587623447140725,0.002411985391525309,0.0012619553085489593,0.0006925664921635295,0.00018673072972144903],[-0.000587516563736028,-0.0033255609815267813,0.0014737744258717799,-0.0037576520513580678,0.0010038979842352895,-0.0016653209310476791,0.0007346248401846668,-0.00006742632822678363,0.0002546601732813553],[-0.0000401637440957006,0.0007554344222080013,0.00031009917492052065,0.00041919113906524333,-0.000753027246543404,0.0006195097983647816,0.00014066858353918186,0.00005303539571795818,-2.2643942402572788e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.06585257825096727, -0.02200934589012789, 0.0002742277718193421, 0.0008406623276428458 ], [ -0.0006325935685404505, -0.0032174298112059886, 0.0284289412707453, 0.031231286271580054, 0.10225102445535611, -0.029594164554088476, -0.008159675110103709, -0.00032397087468790547, 0.00037023758930197054 ], [ 0.000536388409509005, 0.0049584592589858, -0.025660851663968753, 0.00830960743336298, -0.0165992332325725, 0.0025409020515116554, -0.0014602006949882007, -0.0007080309312421933, 0.00012389859952162952 ], [ -0.0006045987910153917, -0.0034876077564656187, 0.006123585222250077, 0.001453050727054534, 0.0007842697748297626, 0.00128415451235271, -0.0011582181174964504, 0.00002426556816135291, -0.00011193117528312304 ], [ 0.00026106547440920365, 0.0010347313696440624, -0.0017237531266436385, 0.0006284038882604526, -0.00015129015137493786, -0.000550757368073633, -0.0002490924314468312, 0.00015205227271726963, -0.00004729423409819994 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.04592487520577557, 0.00762953350782306, -0.0015772974408186891, -0.0007406625460988029 ], [ 0.0011180915279538433, 0.0015639518977347163, 0.03064769471141316, 0.04689536421560403, -0.1606913649649887, -0.005404487570860678, 0.004220620267021221, 0.0009060132111232365, 0.0003952945428151431 ], [ -0.001073242434863671, 0.0016178439309759585, -0.01911917567028569, -0.012650925457023296, -0.004587623447140725, 0.002411985391525309, 0.0012619553085489593, 0.0006925664921635295, 0.00018673072972144903 ], [ -0.000587516563736028, -0.0033255609815267813, 0.0014737744258717799, -0.0037576520513580678, 0.0010038979842352895, -0.0016653209310476791, 0.0007346248401846668, -0.00006742632822678363, 0.0002546601732813553 ], [ -0.0000401637440957006, 0.0007554344222080013, 0.00031009917492052065, 0.00041919113906524333, -0.000753027246543404, 0.0006195097983647816, 0.00014066858353918186, 0.00005303539571795818, -0.0000022643942402572788 ] ]

DhH5tYHimqbQkF574dCnQZr

{"aspect_ratio": 8.043399243635651, "major_radius": 1.0, "max_elongation": 6.321096651558083, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.002928194323708193, 0.33314163167071553, 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": [[0.6707487239240054, 0.6707518312448751, 0.6707968392248735, 0.6709828224259827, 0.6714574360645421, 0.6724025320495438, 0.6740210658259946, 0.676525395616805, 0.6801269824545149, 0.6850274659703516, 0.6914110747657922, 0.699438321024404, 0.709240923215734, 0.7209178967560489, 0.7345327495726283, 0.7501117172677698, 0.7676429707645754, 0.7870767277976556, 0.8083261982973204, 0.8312692925445607, 0.8557510199034298, 0.8815865049361841, 0.9085645467510755, 0.9364516465043007, 0.9649964270607372, 0.9939343678991682, 1.0229927774142076, 1.0518959238069734, 1.0803702447573167, 1.1081495550188432, 1.1349801699593405, 1.1606258618664826, 1.1848725645316596, 1.2075327401888, 1.2284493212894958, 1.2474991378014426, 1.2645957386734978, 1.2796915137501021, 1.2927790196491307, 1.3038914098135739, 1.3131018649280448, 1.3205219148904508, 1.326298537143805, 1.3306099077647349, 1.3336596702140355, 1.3356695702147747, 1.336870280297439, 1.3374901967521449, 1.3377419174289926, 1.3378059495679073, 1.3378107324139297], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.9794464987092046}

8.043399

1

6.321097

[ [ 0.6707487239240054, 0.6707518312448751, 0.6707968392248735, 0.6709828224259827, 0.6714574360645421, 0.6724025320495438, 0.6740210658259946, 0.676525395616805, 0.6801269824545149, 0.6850274659703516, 0.6914110747657922, 0.699438321024404, 0.709240923215734, 0.7209178967560489, 0.7345327495726283, 0.7501117172677698, 0.7676429707645754, 0.7870767277976556, 0.8083261982973204, 0.8312692925445607, 0.8557510199034298, 0.8815865049361841, 0.9085645467510755, 0.9364516465043007, 0.9649964270607372, 0.9939343678991682, 1.0229927774142076, 1.0518959238069734, 1.0803702447573167, 1.1081495550188432, 1.1349801699593405, 1.1606258618664826, 1.1848725645316596, 1.2075327401888, 1.2284493212894958, 1.2474991378014426, 1.2645957386734978, 1.2796915137501021, 1.2927790196491307, 1.3038914098135739, 1.3131018649280448, 1.3205219148904508, 1.326298537143805, 1.3306099077647349, 1.3336596702140355, 1.3356695702147747, 1.336870280297439, 1.3374901967521449, 1.3377419174289926, 1.3378059495679073, 1.3378107324139297 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.002928194323708193, 0.33314163167071553, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.979446

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

D99ihVKm4wcyBaqG5G47evg

null

false

null

false

DfFgz3FbyvcmFYd6bY87hm6

DjHWmBicsVyr7rVzKWdZznz

{"qi": 0.009678882015036343, "vacuum_well": -0.11500576173388861, "aspect_ratio": 10.175503729482129, "max_elongation": 4.95986878182032, "average_triangularity": -0.33837994043269226, "axis_magnetic_mirror_ratio": 0.15665998306417867, "edge_magnetic_mirror_ratio": 0.21039847139623374, "aspect_ratio_over_edge_rotational_transform": 13.241003163178052, "flux_compression_in_regions_of_bad_curvature": 1.1826894140540092, "axis_rotational_transform_over_n_field_periods": 0.1975530100965669, "edge_rotational_transform_over_n_field_periods": 0.1921210878828883, "minimum_normalized_magnetic_gradient_scale_length": 10.145601309753603}

10.175504

13.241003

-0.626973

0.15666

0.197553

0.210398

0.192121

1.182689

4.959869

10.145601

0.009679

-0.115006

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.03762836120107656,0.0020899666569620936,-0.00011048112018369541,0.0000129260781524497],[0.0004442473987689609,0.0014212812458702997,0.00972549465283709,0.06351174574959055,0.07694067673648261,-0.024556303041411393,0.0029189770685537943,-0.0011727115223525491,0.00008314442650113899],[-0.0000371842008639005,0.00017010256732279496,-0.016783292094641314,-0.013317546049595709,0.0037348819362912414,-0.00017562980364945954,-0.0029093916305698454,0.0010857860154202508,-0.00009145967883060724],[-0.000560468573601539,-0.00044961418772057523,0.0052419538218963346,-0.00047478567603204136,0.0017907184889310586,-0.0005323296096678343,-0.00048671896239854684,0.0004391341692510817,-0.000058332100612025625],[0.00003970484944636698,-0.00021201971314440283,-0.0008325822869463301,0.0006262629857065305,-0.0007155547221196403,0.00028824059928655695,-0.00030952891618761736,0.00006306148979263538,-2.5160369055901707e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.04593948633382028,0.0002868562486133113,-0.0011559508556538839,-0.00028333064299447194],[0.0002447764282984062,0.0021419284246964416,0.013651401606847427,0.043880285519269376,-0.16628063537404578,0.029749414897541286,0.0014085933795776693,-0.00023696128601471175,-0.0000404728788699371],[-0.00013645411085185302,-0.00023794739095703488,-0.013316988565407653,-0.011743201298616092,-0.013966074251844249,0.009619807623587495,0.00035222426767447367,-0.0004949653536073272,-8.993711568584884e-6],[-0.0004145638543728875,-0.0019514623649298122,-0.0002340863037191432,-0.005011761631030214,0.0011085190855593186,0.0006824742967250935,0.0006068203749843007,-0.0005346988071556957,0.00006113275991691524],[0.0002682631417003393,0.0007201094796641288,-0.00028257187896905023,-0.00008500095569213449,0.00027794671267480827,0.00017742297920317373,-0.000030117456423095794,-0.00011523856969618284,0.000034078459853082596]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, -0.03762836120107656, 0.0020899666569620936, -0.00011048112018369541, 0.0000129260781524497 ], [ 0.0004442473987689609, 0.0014212812458702997, 0.00972549465283709, 0.06351174574959055, 0.07694067673648261, -0.024556303041411393, 0.0029189770685537943, -0.0011727115223525491, 0.00008314442650113899 ], [ -0.0000371842008639005, 0.00017010256732279496, -0.016783292094641314, -0.013317546049595709, 0.0037348819362912414, -0.00017562980364945954, -0.0029093916305698454, 0.0010857860154202508, -0.00009145967883060724 ], [ -0.000560468573601539, -0.00044961418772057523, 0.0052419538218963346, -0.00047478567603204136, 0.0017907184889310586, -0.0005323296096678343, -0.00048671896239854684, 0.0004391341692510817, -0.000058332100612025625 ], [ 0.00003970484944636698, -0.00021201971314440283, -0.0008325822869463301, 0.0006262629857065305, -0.0007155547221196403, 0.00028824059928655695, -0.00030952891618761736, 0.00006306148979263538, -0.0000025160369055901707 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.04593948633382028, 0.0002868562486133113, -0.0011559508556538839, -0.00028333064299447194 ], [ 0.0002447764282984062, 0.0021419284246964416, 0.013651401606847427, 0.043880285519269376, -0.16628063537404578, 0.029749414897541286, 0.0014085933795776693, -0.00023696128601471175, -0.0000404728788699371 ], [ -0.00013645411085185302, -0.00023794739095703488, -0.013316988565407653, -0.011743201298616092, -0.013966074251844249, 0.009619807623587495, 0.00035222426767447367, -0.0004949653536073272, -0.000008993711568584884 ], [ -0.0004145638543728875, -0.0019514623649298122, -0.0002340863037191432, -0.005011761631030214, 0.0011085190855593186, 0.0006824742967250935, 0.0006068203749843007, -0.0005346988071556957, 0.00006113275991691524 ], [ 0.0002682631417003393, 0.0007201094796641288, -0.00028257187896905023, -0.00008500095569213449, 0.00027794671267480827, 0.00017742297920317373, -0.000030117456423095794, -0.00011523856969618284, 0.000034078459853082596 ] ]

DeKa7tJRJizUnXJ8VuW3LZF

{"aspect_ratio": 11.520411124994057, "major_radius": 1.0, "max_elongation": 4.752105939283701, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2685280187184084, -0.355014835473585, 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": [[0.8532975020628941, 0.8532975059210176, 0.8532977008955811, 0.853299454403532, 0.8533072203849572, 0.8533308278270334, 0.8533877503142753, 0.8535050899119778, 0.8537210927230601, 0.8540860758268949, 0.8546626949521154, 0.8555255230881488, 0.8567599444002711, 0.8584603965369347, 0.8607280185209567, 0.8636677814579046, 0.8673851956774296, 0.8719827009442289, 0.877555856261014, 0.884189452711215, 0.8919536768908731, 0.900900453864547, 0.911060097333003, 0.922438390885616, 0.9350142178760152, 0.9487378486392727, 0.9635299824831849, 0.9792816281423997, 0.9958548901768705, 1.0130847101064653, 1.0307815898679027, 1.0487353014082506, 1.0667195598212327, 1.0844976082951143, 1.1018286311511376, 1.1184748762488603, 1.1342093298092948, 1.1488237449818015, 1.162136779887247, 1.1740019509075537, 1.1843150519670698, 1.1930206294776802, 1.200117034047774, 1.2056594917704824, 1.209760546360024, 1.2125871125636702, 1.2143532400915653, 1.215307493468537, 1.215713555202084, 1.215822111748783, 1.2158306797042426], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.776876964914506}

11.520411

1

4.752106

[ [ 0.8532975020628941, 0.8532975059210176, 0.8532977008955811, 0.853299454403532, 0.8533072203849572, 0.8533308278270334, 0.8533877503142753, 0.8535050899119778, 0.8537210927230601, 0.8540860758268949, 0.8546626949521154, 0.8555255230881488, 0.8567599444002711, 0.8584603965369347, 0.8607280185209567, 0.8636677814579046, 0.8673851956774296, 0.8719827009442289, 0.877555856261014, 0.884189452711215, 0.8919536768908731, 0.900900453864547, 0.911060097333003, 0.922438390885616, 0.9350142178760152, 0.9487378486392727, 0.9635299824831849, 0.9792816281423997, 0.9958548901768705, 1.0130847101064653, 1.0307815898679027, 1.0487353014082506, 1.0667195598212327, 1.0844976082951143, 1.1018286311511376, 1.1184748762488603, 1.1342093298092948, 1.1488237449818015, 1.162136779887247, 1.1740019509075537, 1.1843150519670698, 1.1930206294776802, 1.200117034047774, 1.2056594917704824, 1.209760546360024, 1.2125871125636702, 1.2143532400915653, 1.215307493468537, 1.215713555202084, 1.215822111748783, 1.2158306797042426 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2685280187184084, -0.355014835473585, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.776877

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

DREnru583VQxCqcLrCrNDkL

null

false

null

false

D6XewVbFSvoGYwZePkFCiB4

D5gb38vwPvXiu96xRHHYEvP

{"qi": 0.002386193815374239, "vacuum_well": -0.10392693805390822, "aspect_ratio": 9.875405707370298, "max_elongation": 6.126263275365736, "average_triangularity": -0.01783029744607245, "axis_magnetic_mirror_ratio": 0.2843378933383397, "edge_magnetic_mirror_ratio": 0.3073306829770772, "aspect_ratio_over_edge_rotational_transform": 11.199413514824203, "flux_compression_in_regions_of_bad_curvature": 1.470757472284008, "axis_rotational_transform_over_n_field_periods": 0.19315817520654277, "edge_rotational_transform_over_n_field_periods": 0.17635576531393596, "minimum_normalized_magnetic_gradient_scale_length": 10.576394934284682}

9.875406

11.199414

0.02737

0.284338

0.193158

0.307331

0.176356

1.470757

6.126263

10.576395

0.002386

-0.103927

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.0063334248694905376,-0.003077769616454381,-0.000640146283982258,-0.000228656663532438],[0.0002628301033684469,0.0007982358584610148,-0.003121621584497536,-0.0742360374403612,0.09205620438467409,0.01890272601324502,0.00037649255243344076,-0.0006624808807880303,-0.00032286303466150826],[-0.00010156447767297285,-0.0011989226139668707,0.0007865500944782245,0.025130188040351484,-0.005621440804299912,0.00765115104536262,0.0007791460315906076,0.000019857197280478706,-0.00006453310299880396],[-7.8214103757626e-6,0.0007195250956665835,-0.0002078969005541496,-0.0033819318143471482,0.004207454771707009,0.0009459572373023198,0.00071129018389739,-0.00004685710674358969,5.363668573396899e-7],[-0.000042427421805792055,-0.00007553966678838851,0.00036398843575192964,-4.628625401849893e-6,-0.0012526404858785951,0.000802019312294549,0.000052853805712864296,0.00008305562935081545,1.1193074869853677e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.045227181818228886,0.002487638351120898,0.0008443640620889266,0.0002719316878395314],[-0.00012053888941370621,-0.001567458981302963,0.007487828718822213,-0.039081589758035454,-0.16363280449186485,-0.004088277267145023,-0.0004673992553391867,0.0015608230078922871,0.00032094421082424395],[-0.00009730375919989943,0.00042706984353239083,-0.004892643945345973,0.03441110837710601,-0.02238002156383096,-0.0158895808634955,-0.0013467068628231136,0.00004670468153464044,0.0001964878614365766],[0.00006585786883989057,0.000967874645538026,-0.005109450933239608,0.004861614638785185,0.0014511620347403365,-0.003272888623773406,-0.001486461081427374,-0.00020644448427981933,0.000021144742148820097],[-0.00019205619859231858,0.00005722426424920479,0.0008932140405817276,-0.001622289200615361,0.0014016488552072914,-0.0006124386357379891,-0.00011680632486492251,-0.0001551349354551036,-0.00001851487367722908]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.0063334248694905376, -0.003077769616454381, -0.000640146283982258, -0.000228656663532438 ], [ 0.0002628301033684469, 0.0007982358584610148, -0.003121621584497536, -0.0742360374403612, 0.09205620438467409, 0.01890272601324502, 0.00037649255243344076, -0.0006624808807880303, -0.00032286303466150826 ], [ -0.00010156447767297285, -0.0011989226139668707, 0.0007865500944782245, 0.025130188040351484, -0.005621440804299912, 0.00765115104536262, 0.0007791460315906076, 0.000019857197280478706, -0.00006453310299880396 ], [ -0.0000078214103757626, 0.0007195250956665835, -0.0002078969005541496, -0.0033819318143471482, 0.004207454771707009, 0.0009459572373023198, 0.00071129018389739, -0.00004685710674358969, 5.363668573396899e-7 ], [ -0.000042427421805792055, -0.00007553966678838851, 0.00036398843575192964, -0.000004628625401849893, -0.0012526404858785951, 0.000802019312294549, 0.000052853805712864296, 0.00008305562935081545, 0.0000011193074869853677 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.045227181818228886, 0.002487638351120898, 0.0008443640620889266, 0.0002719316878395314 ], [ -0.00012053888941370621, -0.001567458981302963, 0.007487828718822213, -0.039081589758035454, -0.16363280449186485, -0.004088277267145023, -0.0004673992553391867, 0.0015608230078922871, 0.00032094421082424395 ], [ -0.00009730375919989943, 0.00042706984353239083, -0.004892643945345973, 0.03441110837710601, -0.02238002156383096, -0.0158895808634955, -0.0013467068628231136, 0.00004670468153464044, 0.0001964878614365766 ], [ 0.00006585786883989057, 0.000967874645538026, -0.005109450933239608, 0.004861614638785185, 0.0014511620347403365, -0.003272888623773406, -0.001486461081427374, -0.00020644448427981933, 0.000021144742148820097 ], [ -0.00019205619859231858, 0.00005722426424920479, 0.0008932140405817276, -0.001622289200615361, 0.0014016488552072914, -0.0006124386357379891, -0.00011680632486492251, -0.0001551349354551036, -0.00001851487367722908 ] ]

DaGJaZxjXp3tmmFieh2SdXG

{"aspect_ratio": 11.42203975924722, "major_radius": 1.0, "max_elongation": 5.703513881423465, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.015330665148228421, 0.1661653280062833, 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": [[0.7759701157575386, 0.7759701213078596, 0.7759703935479246, 0.7759728026568317, 0.775983368447828, 0.7760152934478847, 0.7760919929329734, 0.7762497977206188, 0.7765401051957416, 0.7770308255554835, 0.7778070262735868, 0.7789707237022844, 0.7806398093444917, 0.7829461312678365, 0.786032779418312, 0.7900506479056859, 0.795154368145544, 0.8014977243872548, 0.8092286778724012, 0.818484137825809, 0.8293846268015902, 0.8420289946697251, 0.8564893397812907, 0.8728062976100947, 0.8909848564259915, 0.9109908562754576, 0.9327483216665469, 0.9561377697884432, 0.9809956247192845, 1.007114853732361, 1.0342469242995682, 1.0621051594587028, 1.0903695445382848, 1.1186930094158276, 1.1467091770080913, 1.174041529892372, 1.2003139019727802, 1.225162149790728, 1.2482467968899371, 1.2692663724506152, 1.2879710791829573, 1.304176320801719, 1.3177754896058906, 1.3287512491984057, 1.337184328638175, 1.3432585412298979, 1.3472602941623586, 1.3495701377822986, 1.3506426054578355, 1.3509677727789455, 1.3509992312599324], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.9028527722340598}

11.42204

1

5.703514

[ [ 0.7759701157575386, 0.7759701213078596, 0.7759703935479246, 0.7759728026568317, 0.775983368447828, 0.7760152934478847, 0.7760919929329734, 0.7762497977206188, 0.7765401051957416, 0.7770308255554835, 0.7778070262735868, 0.7789707237022844, 0.7806398093444917, 0.7829461312678365, 0.786032779418312, 0.7900506479056859, 0.795154368145544, 0.8014977243872548, 0.8092286778724012, 0.818484137825809, 0.8293846268015902, 0.8420289946697251, 0.8564893397812907, 0.8728062976100947, 0.8909848564259915, 0.9109908562754576, 0.9327483216665469, 0.9561377697884432, 0.9809956247192845, 1.007114853732361, 1.0342469242995682, 1.0621051594587028, 1.0903695445382848, 1.1186930094158276, 1.1467091770080913, 1.174041529892372, 1.2003139019727802, 1.225162149790728, 1.2482467968899371, 1.2692663724506152, 1.2879710791829573, 1.304176320801719, 1.3177754896058906, 1.3287512491984057, 1.337184328638175, 1.3432585412298979, 1.3472602941623586, 1.3495701377822986, 1.3506426054578355, 1.3509677727789455, 1.3509992312599324 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.015330665148228421, 0.1661653280062833, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.902853

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

DRxrzxQRydZGyauCgTaMyCm

null

false

null

false

DAx5TGn8sV7XZinJ6iq7qEr

DHAK2Cw7LaKh4ez93GFTp8k

{"qi": 0.0016505851928809616, "vacuum_well": -0.16429274524771198, "aspect_ratio": 9.507510221054, "max_elongation": 7.302535275399685, "average_triangularity": 0.10390089996714999, "axis_magnetic_mirror_ratio": 0.3296263381184066, "edge_magnetic_mirror_ratio": 0.4346812635037379, "aspect_ratio_over_edge_rotational_transform": 8.661344326803567, "flux_compression_in_regions_of_bad_curvature": 1.3981540226972462, "axis_rotational_transform_over_n_field_periods": 0.22286765534891803, "edge_rotational_transform_over_n_field_periods": 0.2195389044084501, "minimum_normalized_magnetic_gradient_scale_length": 9.594297147806119}

9.50751

8.661344

0.279597

0.329626

0.222868

0.434681

0.219539

1.398154

7.302535

9.594297

0.001651

-0.164293

{"r_cos":[[0.0,0.0,0.0,0.0,0.9994005813498207,-0.04827846519676861,0.004858196925882806,0.0012220920871787028,-0.00027865319929116453],[0.0008515744482137403,-0.0038148006144005753,-0.008065993079210954,0.08092727326649914,0.0820582524721275,-0.03527944695713173,0.009140599591561816,-0.0036682852116795947,0.000648407124831077],[0.000729712795357163,0.003322340399163591,-0.005914167839932238,-0.027991596874460612,0.02209469368622788,-0.014814403163711017,0.0023684374610625936,-0.0016616458209099925,0.00027738857379337853],[0.000042802153205944175,-0.00019525203697810188,0.001054676445695978,0.0074743345462688,0.005129621704529228,-0.0028578777745481704,0.0010447755488118076,-0.00041043177918579423,0.00016677616634009932],[-0.00009292032603556668,-0.0006275787586087091,-0.00042713191604845365,-0.0004777286079940976,0.0004972284832870203,-0.00046688340057371463,0.000257103238199411,-0.00004583969991650539,-5.547179565602526e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.002973735254808447,0.003451442287178187,-0.00109624499860151,-0.000023155456188689645],[-0.0015517443064559874,-0.004447031671464255,0.017553502829847474,0.0643558433150225,-0.18396372246399195,0.059036673508904826,-0.013343405972826999,0.0030460396420774823,-0.0011261925479049905],[-0.00026087017327972625,0.0007723719700015695,0.00017034173064331892,-0.022074188963895684,-0.008115239041049492,0.012402794444295349,-0.004501668057955391,0.001314287603997957,-0.0002990872493924397],[0.00024131489820684897,0.0015702262898079555,-0.0007594733990859543,-0.0012297630092269404,-0.003356120283583702,0.0012864503243058887,-0.001640779887136065,0.00042868202266908026,-0.00011652838562748031],[0.000026983372261600074,0.00018449628076527223,0.00036702279562109944,-0.0005436981035133661,-0.0009258787387666321,0.00004391720164955283,-0.00011645484581297827,0.00005112804189734756,3.273637394883543e-6]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9994005813498207, -0.04827846519676861, 0.004858196925882806, 0.0012220920871787028, -0.00027865319929116453 ], [ 0.0008515744482137403, -0.0038148006144005753, -0.008065993079210954, 0.08092727326649914, 0.0820582524721275, -0.03527944695713173, 0.009140599591561816, -0.0036682852116795947, 0.000648407124831077 ], [ 0.000729712795357163, 0.003322340399163591, -0.005914167839932238, -0.027991596874460612, 0.02209469368622788, -0.014814403163711017, 0.0023684374610625936, -0.0016616458209099925, 0.00027738857379337853 ], [ 0.000042802153205944175, -0.00019525203697810188, 0.001054676445695978, 0.0074743345462688, 0.005129621704529228, -0.0028578777745481704, 0.0010447755488118076, -0.00041043177918579423, 0.00016677616634009932 ], [ -0.00009292032603556668, -0.0006275787586087091, -0.00042713191604845365, -0.0004777286079940976, 0.0004972284832870203, -0.00046688340057371463, 0.000257103238199411, -0.00004583969991650539, -0.000005547179565602526 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.002973735254808447, 0.003451442287178187, -0.00109624499860151, -0.000023155456188689645 ], [ -0.0015517443064559874, -0.004447031671464255, 0.017553502829847474, 0.0643558433150225, -0.18396372246399195, 0.059036673508904826, -0.013343405972826999, 0.0030460396420774823, -0.0011261925479049905 ], [ -0.00026087017327972625, 0.0007723719700015695, 0.00017034173064331892, -0.022074188963895684, -0.008115239041049492, 0.012402794444295349, -0.004501668057955391, 0.001314287603997957, -0.0002990872493924397 ], [ 0.00024131489820684897, 0.0015702262898079555, -0.0007594733990859543, -0.0012297630092269404, -0.003356120283583702, 0.0012864503243058887, -0.001640779887136065, 0.00042868202266908026, -0.00011652838562748031 ], [ 0.000026983372261600074, 0.00018449628076527223, 0.00036702279562109944, -0.0005436981035133661, -0.0009258787387666321, 0.00004391720164955283, -0.00011645484581297827, 0.00005112804189734756, 0.000003273637394883543 ] ]

DNNpNfVYEMNZeFyXAuc8zN4

{"aspect_ratio": 11.461814239403177, "major_radius": 1.0, "max_elongation": 6.992414559228058, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.04012594782687028, 0.05271198288315811, 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": [[0.6332711797204034, 0.6332711957620277, 0.6332719825864891, 0.6332788993265218, 0.6333089328512549, 0.6333985954393138, 0.633611132682993, 0.6340421057604746, 0.6348227952145085, 0.6361211473064134, 0.6381401915629067, 0.6411140187099108, 0.6453015325624857, 0.6509782843794908, 0.6584267683374236, 0.667925605535145, 0.6797380739438504, 0.6941004550926966, 0.711210666812908, 0.7312176365929575, 0.7542118433926911, 0.7802174183688425, 0.8091861480330153, 0.8409936679886532, 0.8754380726278866, 0.9122410970420025, 0.9510519529334998, 0.99145382154431, 1.0329729245878077, 1.075090009984251, 1.1172540039984693, 1.158897496388589, 1.1994536417184263, 1.2383739795157362, 1.2751466000924354, 1.3093140134161336, 1.3404900175525667, 1.368374813378367, 1.39276757648986, 1.413575679195912, 1.4308197598455723, 1.4446338695797962, 1.4552599960994577, 1.4630363816922958, 1.4683792354334666, 1.4717577134009954, 1.473662449655424, 1.4745685443299732, 1.4748949174471084, 1.474963721260107, 1.4749674328261757], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1004550718316182}

11.461814

1

6.992415

[ [ 0.6332711797204034, 0.6332711957620277, 0.6332719825864891, 0.6332788993265218, 0.6333089328512549, 0.6333985954393138, 0.633611132682993, 0.6340421057604746, 0.6348227952145085, 0.6361211473064134, 0.6381401915629067, 0.6411140187099108, 0.6453015325624857, 0.6509782843794908, 0.6584267683374236, 0.667925605535145, 0.6797380739438504, 0.6941004550926966, 0.711210666812908, 0.7312176365929575, 0.7542118433926911, 0.7802174183688425, 0.8091861480330153, 0.8409936679886532, 0.8754380726278866, 0.9122410970420025, 0.9510519529334998, 0.99145382154431, 1.0329729245878077, 1.075090009984251, 1.1172540039984693, 1.158897496388589, 1.1994536417184263, 1.2383739795157362, 1.2751466000924354, 1.3093140134161336, 1.3404900175525667, 1.368374813378367, 1.39276757648986, 1.413575679195912, 1.4308197598455723, 1.4446338695797962, 1.4552599960994577, 1.4630363816922958, 1.4683792354334666, 1.4717577134009954, 1.473662449655424, 1.4745685443299732, 1.4748949174471084, 1.474963721260107, 1.4749674328261757 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.04012594782687028, 0.05271198288315811, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.100455

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

DVUf2nM6k2GmSM4ZWPsXYBh

null

false

null

false

DQzHBiAUbyyTj2uC6VSA3op

DTggS4zeFFUHe4Zcpx77XA6

{"qi": 0.027689307546903272, "vacuum_well": -0.10871730057003078, "aspect_ratio": 9.940101019557599, "max_elongation": 4.946104556560043, "average_triangularity": -0.23405460305158404, "axis_magnetic_mirror_ratio": 0.22845436911425243, "edge_magnetic_mirror_ratio": 0.2567213888023274, "aspect_ratio_over_edge_rotational_transform": 19.30454217715905, "flux_compression_in_regions_of_bad_curvature": 1.2501128325754078, "axis_rotational_transform_over_n_field_periods": 0.15228621042298274, "edge_rotational_transform_over_n_field_periods": 0.12872748973190662, "minimum_normalized_magnetic_gradient_scale_length": 8.18325915480779}

9.940101

19.304542

-0.53156

0.228454

0.152286

0.256721

0.128727

1.250113

4.946105

8.183259

0.027689

-0.108717

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.06013175258603638,0.0023998371825661815,-0.0004520349931212619,-0.0003555934002021817],[-0.000010449295000340136,-0.0003040050592971723,-0.0052479016356563385,-0.0736924589504257,0.07975159773142436,0.0412111919752691,-0.0002921766703085039,-0.0004279481171428407,0.00020492641532566164],[0.00032627556500824646,-0.0006521670938794354,-0.007122450417798426,0.014584412474487886,-0.011501290217134488,0.005088906204575099,0.0006671993726110395,-0.0004094092946818153,0.00008109827210832826],[-0.000014133802773002094,-0.0009494107315559142,0.004402553727479841,-0.007085506750718036,0.008760648213265037,-0.001109819958867656,-0.00017328929628970292,0.0004936205843066153,0.0000996021328891198],[-0.00022348316580593714,0.0008248559165720923,-0.0008889494672534551,0.001441651355869157,0.0002738106433014904,0.00048322285088553114,-0.0004100477214131434,0.00005694388112729228,0.00003890853996561588]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0405228619309457,-0.004496885287730191,-0.00016970304514503723,0.00006150414609470099],[-0.0002061598209468253,-0.00041740732641789907,0.0012180748979577,-0.02636151053629798,-0.16400068650166338,0.0016031047582534819,0.0015629535256487222,-0.0010367194617010504,-0.00010685102297752336],[-0.00013002055168818215,0.0014579888519612322,-0.00859220538481339,0.012894377969902983,-0.022189619955428282,-0.011181890331000487,0.0035448992247993495,-4.106449633863593e-6,-0.0001063331576404384],[0.00019444173665898393,-0.0013613222164480538,0.0043424332553167865,-0.0027916991391122303,-0.0009467602733947609,-0.0018196136160096542,0.0002871806931680214,-0.00011539538360486078,-0.0000664691883314659],[-7.209838944086176e-6,-0.00005779988770689746,0.0003778687332104876,0.0006160000939488977,-0.00006350252313760247,-0.00005600646338235906,0.000020990451087878558,-0.00010905015043502163,-0.000042780780443999974]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 1, 0.06013175258603638, 0.0023998371825661815, -0.0004520349931212619, -0.0003555934002021817 ], [ -0.000010449295000340136, -0.0003040050592971723, -0.0052479016356563385, -0.0736924589504257, 0.07975159773142436, 0.0412111919752691, -0.0002921766703085039, -0.0004279481171428407, 0.00020492641532566164 ], [ 0.00032627556500824646, -0.0006521670938794354, -0.007122450417798426, 0.014584412474487886, -0.011501290217134488, 0.005088906204575099, 0.0006671993726110395, -0.0004094092946818153, 0.00008109827210832826 ], [ -0.000014133802773002094, -0.0009494107315559142, 0.004402553727479841, -0.007085506750718036, 0.008760648213265037, -0.001109819958867656, -0.00017328929628970292, 0.0004936205843066153, 0.0000996021328891198 ], [ -0.00022348316580593714, 0.0008248559165720923, -0.0008889494672534551, 0.001441651355869157, 0.0002738106433014904, 0.00048322285088553114, -0.0004100477214131434, 0.00005694388112729228, 0.00003890853996561588 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0405228619309457, -0.004496885287730191, -0.00016970304514503723, 0.00006150414609470099 ], [ -0.0002061598209468253, -0.00041740732641789907, 0.0012180748979577, -0.02636151053629798, -0.16400068650166338, 0.0016031047582534819, 0.0015629535256487222, -0.0010367194617010504, -0.00010685102297752336 ], [ -0.00013002055168818215, 0.0014579888519612322, -0.00859220538481339, 0.012894377969902983, -0.022189619955428282, -0.011181890331000487, 0.0035448992247993495, -0.000004106449633863593, -0.0001063331576404384 ], [ 0.00019444173665898393, -0.0013613222164480538, 0.0043424332553167865, -0.0027916991391122303, -0.0009467602733947609, -0.0018196136160096542, 0.0002871806931680214, -0.00011539538360486078, -0.0000664691883314659 ], [ -0.000007209838944086176, -0.00005779988770689746, 0.0003778687332104876, 0.0006160000939488977, -0.00006350252313760247, -0.00005600646338235906, 0.000020990451087878558, -0.00010905015043502163, -0.000042780780443999974 ] ]

DPzhz2tEpKgUTFSPtLLWrur

{"aspect_ratio": 9.866597282440987, "major_radius": 1.0, "max_elongation": 4.771261635480725, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04241772882350815, -0.15058111264823806, 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": [[0.8603370444908974, 0.8603370736576479, 0.8603379064518437, 0.860343203115898, 0.8603616412539739, 0.8604084510926632, 0.8605064271369893, 0.8606864786887658, 0.8609877693863356, 0.8614574899571009, 0.862150304881254, 0.8631275113927721, 0.8644559476607728, 0.8662066858383736, 0.8684535447935786, 0.8712714566625982, 0.8747347208373599, 0.8789151785812449, 0.8838803411369438, 0.8896915039317427, 0.8964018792873344, 0.9040547798956481, 0.9126818852239448, 0.9223016229582637, 0.9329176975825018, 0.9445177982207198, 0.957072517943745, 0.9705345168602578, 0.9848379614813025, 0.9998982730713439, 1.0156122179866067, 1.0318583733633038, 1.0484980019690555, 1.0653763705898645, 1.0823245470190215, 1.0991617115797068, 1.115698020200501, 1.1317380574446085, 1.1470849196736501, 1.1615449708607735, 1.174933316693375, 1.1870800468999243, 1.1978373018199113, 1.2070872281857752, 1.214750902868499, 1.2207983258174555, 1.2252596228880175, 1.228237675684082, 1.2299225657269357, 1.2306086925741446, 1.2307175166809683], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5910399835660708}

9.866597

1

4.771262

[ [ 0.8603370444908974, 0.8603370736576479, 0.8603379064518437, 0.860343203115898, 0.8603616412539739, 0.8604084510926632, 0.8605064271369893, 0.8606864786887658, 0.8609877693863356, 0.8614574899571009, 0.862150304881254, 0.8631275113927721, 0.8644559476607728, 0.8662066858383736, 0.8684535447935786, 0.8712714566625982, 0.8747347208373599, 0.8789151785812449, 0.8838803411369438, 0.8896915039317427, 0.8964018792873344, 0.9040547798956481, 0.9126818852239448, 0.9223016229582637, 0.9329176975825018, 0.9445177982207198, 0.957072517943745, 0.9705345168602578, 0.9848379614813025, 0.9998982730713439, 1.0156122179866067, 1.0318583733633038, 1.0484980019690555, 1.0653763705898645, 1.0823245470190215, 1.0991617115797068, 1.115698020200501, 1.1317380574446085, 1.1470849196736501, 1.1615449708607735, 1.174933316693375, 1.1870800468999243, 1.1978373018199113, 1.2070872281857752, 1.214750902868499, 1.2207983258174555, 1.2252596228880175, 1.228237675684082, 1.2299225657269357, 1.2306086925741446, 1.2307175166809683 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.04241772882350815, -0.15058111264823806, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.59104

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

DBNaKdv6nFKgvUvCnWZcGog

null

false

null

false

DFCfjBSs3YfDVp8RMokuw4Z

DNFmmmnSzTTm54NCMrCtTQ5

{"qi": 0.006027888231716876, "vacuum_well": -0.008567244038493365, "aspect_ratio": 9.522250398554029, "max_elongation": 6.058400257435267, "average_triangularity": 0.051093151938175346, "axis_magnetic_mirror_ratio": 0.3503889068941061, "edge_magnetic_mirror_ratio": 0.38889071565608685, "aspect_ratio_over_edge_rotational_transform": 70.055948104356, "flux_compression_in_regions_of_bad_curvature": 0.8284200056383975, "axis_rotational_transform_over_n_field_periods": 0.18072376080198044, "edge_rotational_transform_over_n_field_periods": 0.13592351051147855, "minimum_normalized_magnetic_gradient_scale_length": 3.220304232203369}

9.52225

70.055948

0.112459

0.350389

0.180724

0.388891

0.135924

0.82842

6.0584

3.220304

0.006028

-0.008567

{"r_cos":[[0.0,0.0,0.0,0.0,0.9956306816775978,-0.07562895084708465,-0.12390489607263777,0.03451513017507338,0.0013467164688893154],[-0.013756232300296125,-0.032437623461427936,-0.01180544864186664,0.008255763125186994,0.07502226486984727,-0.004356814861700484,0.024678078229684784,-0.0017152921552482953,-0.00423614431883006],[-0.0024642396554198365,-0.008435466102846416,-0.005601328894430223,0.016780452548314354,0.012549241016120483,-0.0014579760883788179,0.0025105635381917945,4.288158448207541e-7,-0.0002914191099193228],[0.002152909090766782,0.006981750345788734,0.0031316705849891804,-0.007356743593370199,-0.0006504815774115518,0.002814329704166029,-0.0010312136533971116,-0.0010948714344018702,0.00032573931577805336],[0.0001351055728030327,-0.0011771345401245408,-0.0024548566655392787,-0.0005834678362605697,0.001661250553715783,-0.000073398371901037,-0.0006679058785473236,0.00008795008765436884,0.00006367065888911118]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.10049423787343842,-0.0473711075988001,-0.024117903965929905,0.005946715372058492],[-0.01909888855599171,-0.020262132255456443,0.027154630000037986,-0.07019563912126349,-0.13685273851994517,0.09128201166584053,-0.03139012005789018,-0.007932948346870139,0.006967180118262143],[-0.00031200648469248296,-0.006367147589300707,-0.019190532183626048,-0.009975894387580918,-0.0019400415169365105,-0.007278004364754982,-0.001003832184968594,0.0009664296412389209,-0.00025098254126267744],[0.001993111028662801,0.0031685550793788186,0.002094416456737591,0.003732317635501679,0.0030083409498607495,-0.002537889449118656,0.0006073342362286145,0.0010663172163718959,-0.00035592553260979654],[0.0006157287328127049,-0.000575488902223099,-0.0002297750331968771,0.0006647897122582917,0.000013560310414374027,-0.0005603013073298027,0.00028415763281655604,0.00011513773722858226,-0.00004200277382145545]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 0.9956306816775978, -0.07562895084708465, -0.12390489607263777, 0.03451513017507338, 0.0013467164688893154 ], [ -0.013756232300296125, -0.032437623461427936, -0.01180544864186664, 0.008255763125186994, 0.07502226486984727, -0.004356814861700484, 0.024678078229684784, -0.0017152921552482953, -0.00423614431883006 ], [ -0.0024642396554198365, -0.008435466102846416, -0.005601328894430223, 0.016780452548314354, 0.012549241016120483, -0.0014579760883788179, 0.0025105635381917945, 4.288158448207541e-7, -0.0002914191099193228 ], [ 0.002152909090766782, 0.006981750345788734, 0.0031316705849891804, -0.007356743593370199, -0.0006504815774115518, 0.002814329704166029, -0.0010312136533971116, -0.0010948714344018702, 0.00032573931577805336 ], [ 0.0001351055728030327, -0.0011771345401245408, -0.0024548566655392787, -0.0005834678362605697, 0.001661250553715783, -0.000073398371901037, -0.0006679058785473236, 0.00008795008765436884, 0.00006367065888911118 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.10049423787343842, -0.0473711075988001, -0.024117903965929905, 0.005946715372058492 ], [ -0.01909888855599171, -0.020262132255456443, 0.027154630000037986, -0.07019563912126349, -0.13685273851994517, 0.09128201166584053, -0.03139012005789018, -0.007932948346870139, 0.006967180118262143 ], [ -0.00031200648469248296, -0.006367147589300707, -0.019190532183626048, -0.009975894387580918, -0.0019400415169365105, -0.007278004364754982, -0.001003832184968594, 0.0009664296412389209, -0.00025098254126267744 ], [ 0.001993111028662801, 0.0031685550793788186, 0.002094416456737591, 0.003732317635501679, 0.0030083409498607495, -0.002537889449118656, 0.0006073342362286145, 0.0010663172163718959, -0.00035592553260979654 ], [ 0.0006157287328127049, -0.000575488902223099, -0.0002297750331968771, 0.0006647897122582917, 0.000013560310414374027, -0.0005603013073298027, 0.00028415763281655604, 0.00011513773722858226, -0.00004200277382145545 ] ]

DD4GL36imbYMvLAGb6jdZNp

{"aspect_ratio": 11.232298111551117, "major_radius": 1.0, "max_elongation": 6.347861434559562, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.06876462575547719, -0.28344307305682104, 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": [[0.6756755945013944, 0.675675629107972, 0.6756771748469521, 0.6756899218576115, 0.675742549106474, 0.6758930883064149, 0.6762366372221147, 0.6769094617205519, 0.6780892021940373, 0.6799913242535743, 0.682862230068585, 0.6869696234023842, 0.6925908254594552, 0.6999997876306224, 0.7094535534052911, 0.7211788943437094, 0.7353597913267806, 0.7521263582545908, 0.7715457159306133, 0.7936152233316554, 0.818258365576302, 0.8453234860001466, 0.8745854368197463, 0.9057501116351048, 0.9384617159632085, 0.9723125313906698, 1.0068548368819814, 1.0416145692223442, 1.0761062353068267, 1.1098485336725215, 1.142380102841922, 1.1732747911154375, 1.2021558377087742, 1.2287083697440444, 1.2526896546120907, 1.2739366035326456, 1.2923701005062858, 1.3079958318694898, 1.3209014157314072, 1.3312497778582024, 1.3392688909636994, 1.3452381873839838, 1.3494721697915775, 1.3523019792948427, 1.3540559323279884, 1.3550403029804832, 1.355521899093461, 1.3557142471809072, 1.3557694422380753, 1.3557778906065296, 1.3557781638785105], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2555075835661903}

11.232298

1

6.347861

[ [ 0.6756755945013944, 0.675675629107972, 0.6756771748469521, 0.6756899218576115, 0.675742549106474, 0.6758930883064149, 0.6762366372221147, 0.6769094617205519, 0.6780892021940373, 0.6799913242535743, 0.682862230068585, 0.6869696234023842, 0.6925908254594552, 0.6999997876306224, 0.7094535534052911, 0.7211788943437094, 0.7353597913267806, 0.7521263582545908, 0.7715457159306133, 0.7936152233316554, 0.818258365576302, 0.8453234860001466, 0.8745854368197463, 0.9057501116351048, 0.9384617159632085, 0.9723125313906698, 1.0068548368819814, 1.0416145692223442, 1.0761062353068267, 1.1098485336725215, 1.142380102841922, 1.1732747911154375, 1.2021558377087742, 1.2287083697440444, 1.2526896546120907, 1.2739366035326456, 1.2923701005062858, 1.3079958318694898, 1.3209014157314072, 1.3312497778582024, 1.3392688909636994, 1.3452381873839838, 1.3494721697915775, 1.3523019792948427, 1.3540559323279884, 1.3550403029804832, 1.355521899093461, 1.3557142471809072, 1.3557694422380753, 1.3557778906065296, 1.3557781638785105 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.06876462575547719, -0.28344307305682104, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.255508

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

DJPhKBHTbYvVbqP7Pfyf4kJ

null

false

null

false

DCWWPbL9zcJ6rqzCzHvNRqw

DHsJGfjqrFXNTYoAEo9oi7C

{"qi": 0.009189446279849415, "vacuum_well": -0.1638244672673316, "aspect_ratio": 9.467993959112247, "max_elongation": 6.661240353819992, "average_triangularity": -0.08281296217511569, "axis_magnetic_mirror_ratio": 0.36870376652870307, "edge_magnetic_mirror_ratio": 0.43234570823555907, "aspect_ratio_over_edge_rotational_transform": 7.961703729966703, "flux_compression_in_regions_of_bad_curvature": 1.8317196122826054, "axis_rotational_transform_over_n_field_periods": 0.2807253694462047, "edge_rotational_transform_over_n_field_periods": 0.2378383893757836, "minimum_normalized_magnetic_gradient_scale_length": 9.053772923443534}

9.467994

7.961704

-0.074123

0.368704

0.280725

0.432346

0.237838

1.83172

6.66124

9.053773

0.009189

-0.163824

{"r_cos":[[0.0,0.0,0.0,0.0,0.9947876630225579,0.01300865281275759,0.006394001665762468,0.0031266877315563203,0.000519496834544966],[0.0003335532227870561,-0.00016456472301143785,-0.009072078614490924,-0.07764125857905588,0.12488937182497761,-0.005529308462620182,0.0030859415867588707,0.00021289414392028193,-0.00030642418869473135],[-3.254638349524864e-6,-0.0010403283659234034,-0.007387896355879454,0.0318647544019677,-0.00921891095509329,-0.0035262423296608964,-0.0013591141816418212,0.0002660374240394108,-0.00009700277137409592],[0.0005688135017685641,-0.0009817868302820785,-0.0008685283366165911,-0.005353078439038382,0.006001125480953968,-0.002382044690990747,0.0007265037358101121,-0.00024371756396195717,-0.000051157146121805545],[-0.00010476264547108825,0.0005038098066688822,-0.0005947367565602196,-0.00037686441616788854,0.00043735699346367,-0.00010661535371869323,-0.00007029148544331277,0.00009652438129780828,-0.000017971880309995344]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.00434969673133636,0.002856847400828311,-0.0021047181876766427,-0.0006054824023109685],[-0.0009062361583702192,-0.00022776817370678557,0.0072514704702437375,-0.08794572042614773,-0.15610731570359196,0.030233650928297447,-0.006646163290632516,0.00039788860497230695,0.00004147525457591419],[0.0008639966482296997,0.002476924856663062,-0.000012201449044522852,0.02044013672746369,-0.01638546327449998,0.0031038537697601325,-0.0008963374361435977,0.00016210325427101638,0.00005832602787069982],[0.0004719484115069685,-0.0019161585512804838,-0.0027158034083847966,0.0034364069727907008,-0.0026437456821129953,0.002401001251755264,0.00006794455742290613,0.00014814561329179595,0.000016181777616308706],[7.634056055569327e-6,-0.000029844254052671527,0.00046985791021159323,0.0004572254592824231,0.00014149230709974278,-0.0002151531283089912,0.00015328764335026144,-0.00002779730536433418,0.00004274011613417637]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9947876630225579, 0.01300865281275759, 0.006394001665762468, 0.0031266877315563203, 0.000519496834544966 ], [ 0.0003335532227870561, -0.00016456472301143785, -0.009072078614490924, -0.07764125857905588, 0.12488937182497761, -0.005529308462620182, 0.0030859415867588707, 0.00021289414392028193, -0.00030642418869473135 ], [ -0.000003254638349524864, -0.0010403283659234034, -0.007387896355879454, 0.0318647544019677, -0.00921891095509329, -0.0035262423296608964, -0.0013591141816418212, 0.0002660374240394108, -0.00009700277137409592 ], [ 0.0005688135017685641, -0.0009817868302820785, -0.0008685283366165911, -0.005353078439038382, 0.006001125480953968, -0.002382044690990747, 0.0007265037358101121, -0.00024371756396195717, -0.000051157146121805545 ], [ -0.00010476264547108825, 0.0005038098066688822, -0.0005947367565602196, -0.00037686441616788854, 0.00043735699346367, -0.00010661535371869323, -0.00007029148544331277, 0.00009652438129780828, -0.000017971880309995344 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.00434969673133636, 0.002856847400828311, -0.0021047181876766427, -0.0006054824023109685 ], [ -0.0009062361583702192, -0.00022776817370678557, 0.0072514704702437375, -0.08794572042614773, -0.15610731570359196, 0.030233650928297447, -0.006646163290632516, 0.00039788860497230695, 0.00004147525457591419 ], [ 0.0008639966482296997, 0.002476924856663062, -0.000012201449044522852, 0.02044013672746369, -0.01638546327449998, 0.0031038537697601325, -0.0008963374361435977, 0.00016210325427101638, 0.00005832602787069982 ], [ 0.0004719484115069685, -0.0019161585512804838, -0.0027158034083847966, 0.0034364069727907008, -0.0026437456821129953, 0.002401001251755264, 0.00006794455742290613, 0.00014814561329179595, 0.000016181777616308706 ], [ 0.000007634056055569327, -0.000029844254052671527, 0.00046985791021159323, 0.0004572254592824231, 0.00014149230709974278, -0.0002151531283089912, 0.00015328764335026144, -0.00002779730536433418, 0.00004274011613417637 ] ]

DdZveuZQfFG5ngHVZ7zxRbQ

{"aspect_ratio": 9.52457492657236, "major_radius": 1.0, "max_elongation": 6.59368514132686, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.10882879610468342, -0.43599681773296367, 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": [[0.6162502452931162, 0.6162513356749362, 0.6162774550403121, 0.6164225654669133, 0.6168722488251843, 0.6178991862075688, 0.619844530127614, 0.6230920225518828, 0.6280393680452351, 0.6350699717714536, 0.6445271796606591, 0.6566924338462141, 0.6717681982883467, 0.6898660726766425, 0.7110001699564925, 0.7350855659535321, 0.7619414255613621, 0.7912982589759363, 0.8228086557284642, 0.856060777407803, 0.8905938565780903, 0.9259149448100277, 0.9615161728142483, 0.996891826664271, 1.0315546026192766, 1.0650504759555082, 1.0969717035505007, 1.1269675729687383, 1.1547526098455303, 1.1801120579517481, 1.2029045500404718, 1.2230619901079751, 1.2405867667991675, 1.255546511167124, 1.2680666977257817, 1.2783214636266536, 1.2865230847932905, 1.2929105979389415, 1.2977380915724983, 1.3012632053778828, 1.303736373749489, 1.3053913237918624, 1.306437288736484, 1.3070533224452423, 1.307384997347544, 1.3075436345797726, 1.3076080488742212, 1.307628589200458, 1.3076330160854024, 1.3076334736365696, 1.3076334815855608], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4917861680988542}

9.524575

1

6.593685

[ [ 0.6162502452931162, 0.6162513356749362, 0.6162774550403121, 0.6164225654669133, 0.6168722488251843, 0.6178991862075688, 0.619844530127614, 0.6230920225518828, 0.6280393680452351, 0.6350699717714536, 0.6445271796606591, 0.6566924338462141, 0.6717681982883467, 0.6898660726766425, 0.7110001699564925, 0.7350855659535321, 0.7619414255613621, 0.7912982589759363, 0.8228086557284642, 0.856060777407803, 0.8905938565780903, 0.9259149448100277, 0.9615161728142483, 0.996891826664271, 1.0315546026192766, 1.0650504759555082, 1.0969717035505007, 1.1269675729687383, 1.1547526098455303, 1.1801120579517481, 1.2029045500404718, 1.2230619901079751, 1.2405867667991675, 1.255546511167124, 1.2680666977257817, 1.2783214636266536, 1.2865230847932905, 1.2929105979389415, 1.2977380915724983, 1.3012632053778828, 1.303736373749489, 1.3053913237918624, 1.306437288736484, 1.3070533224452423, 1.307384997347544, 1.3075436345797726, 1.3076080488742212, 1.307628589200458, 1.3076330160854024, 1.3076334736365696, 1.3076334815855608 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.10882879610468342, -0.43599681773296367, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.491786

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

DJU9nBdPvpfYzCk846BMHNU

null

false

null

false

DD8G6rxkYVA3fis5BLMXHfJ

D358NHAGu9DzgVrmyipUpCf

{"qi": 0.005596778889701169, "vacuum_well": -0.0034642888313734226, "aspect_ratio": 6.960558854198386, "max_elongation": 4.076242771587973, "average_triangularity": -0.16380743225978805, "axis_magnetic_mirror_ratio": 0.33952620869166794, "edge_magnetic_mirror_ratio": 0.41351760156902895, "aspect_ratio_over_edge_rotational_transform": 11.426683557932925, "flux_compression_in_regions_of_bad_curvature": 1.4774799182683482, "axis_rotational_transform_over_n_field_periods": 0.14931796172487738, "edge_rotational_transform_over_n_field_periods": 0.15228738108718448, "minimum_normalized_magnetic_gradient_scale_length": 3.1081668402467963}

6.960559

11.426684

-0.055217

0.339526

0.149318

0.413518

0.152287

1.47748

4.076243

3.108167

0.005597

-0.003464

{"r_cos":[[0.0,0.0,0.0,0.0,0.993444764372699,0.1272859677590011,-0.011882958631374469,0.0019160727814644778,0.001037966445925501],[-0.0017103732216192003,0.004011523837782558,-0.007548969502254496,-0.06542825115966194,0.17337150673744675,0.01153421082361946,-0.005885397905860106,-0.0035908823155055476,-0.0004829449489358568],[-0.00028813680243769174,0.0010921426953788265,-0.00025713454956442664,-0.015942092454411937,0.03536815737412628,-0.0028785682943440784,-0.0016380594458164969,-0.0005478630134114811,0.000347536532992645],[0.0003870700237034562,-0.000016397680417110173,-0.001357244150671319,0.003489185242828376,0.0028515356813206775,-0.0007194136091081495,0.0009724067190158188,-0.00009266330462708298,-0.00009793283471510643],[0.000011254112561905791,0.00006621053861289255,-0.00017320134719686685,0.000017474093235840885,-0.0005023556627682738,0.0002971991153299953,0.00011333122772324565,0.00003698170793293797,0.0000649662919858776]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.5409205731810082,-0.03721881904626411,-0.005396685438355556,-0.004495077246572783],[-0.005448941685809597,0.008852077352814966,-0.047715867407624665,-0.005724633013156484,-0.11331699527850209,0.002146436371208921,-0.002989490817185369,-0.001325355770151851,0.0012633442396070313],[0.0004114174730595136,-0.0027500212146578384,0.0077798599561877515,-0.01328081011519075,-0.026809540166130793,0.01606111769022904,-0.0011191372540856693,0.0011471964903584343,-0.00023755060605699205],[0.0006390707936679697,-0.00033795774328694046,-0.00041193959126011146,-0.00005310622848142608,-0.009016342397635985,0.003919848811622169,-0.0020284871349816264,-0.0006249061139938579,-0.00010145282881087814],[-0.00017635124323988295,0.0007036892360592774,-0.000298985783584152,0.0003767472824654913,-0.0020493650855751147,0.0008327617796511982,-0.0005252055744491266,-0.00002899114892178725,0.000043226685651577665]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.993444764372699, 0.1272859677590011, -0.011882958631374469, 0.0019160727814644778, 0.001037966445925501 ], [ -0.0017103732216192003, 0.004011523837782558, -0.007548969502254496, -0.06542825115966194, 0.17337150673744675, 0.01153421082361946, -0.005885397905860106, -0.0035908823155055476, -0.0004829449489358568 ], [ -0.00028813680243769174, 0.0010921426953788265, -0.00025713454956442664, -0.015942092454411937, 0.03536815737412628, -0.0028785682943440784, -0.0016380594458164969, -0.0005478630134114811, 0.000347536532992645 ], [ 0.0003870700237034562, -0.000016397680417110173, -0.001357244150671319, 0.003489185242828376, 0.0028515356813206775, -0.0007194136091081495, 0.0009724067190158188, -0.00009266330462708298, -0.00009793283471510643 ], [ 0.000011254112561905791, 0.00006621053861289255, -0.00017320134719686685, 0.000017474093235840885, -0.0005023556627682738, 0.0002971991153299953, 0.00011333122772324565, 0.00003698170793293797, 0.0000649662919858776 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.5409205731810082, -0.03721881904626411, -0.005396685438355556, -0.004495077246572783 ], [ -0.005448941685809597, 0.008852077352814966, -0.047715867407624665, -0.005724633013156484, -0.11331699527850209, 0.002146436371208921, -0.002989490817185369, -0.001325355770151851, 0.0012633442396070313 ], [ 0.0004114174730595136, -0.0027500212146578384, 0.0077798599561877515, -0.01328081011519075, -0.026809540166130793, 0.01606111769022904, -0.0011191372540856693, 0.0011471964903584343, -0.00023755060605699205 ], [ 0.0006390707936679697, -0.00033795774328694046, -0.00041193959126011146, -0.00005310622848142608, -0.009016342397635985, 0.003919848811622169, -0.0020284871349816264, -0.0006249061139938579, -0.00010145282881087814 ], [ -0.00017635124323988295, 0.0007036892360592774, -0.000298985783584152, 0.0003767472824654913, -0.0020493650855751147, 0.0008327617796511982, -0.0005252055744491266, -0.00002899114892178725, 0.000043226685651577665 ] ]

DC6UnyZUDonHEou96UvXwGR

{"aspect_ratio": 6.870393176835234, "major_radius": 1.0, "max_elongation": 6.134421235758442, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.23218171674596902, 0.531017753309031, 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": [[0.6809614402163355, 0.680978670566593, 0.6811402357195053, 0.681651628337743, 0.6827380426267068, 0.6846228877960393, 0.6875158037117938, 0.6916050794829499, 0.6970527123892282, 0.7039912572821662, 0.712521982190016, 0.7227140229896712, 0.7346043269514999, 0.7481982327947423, 0.7634705716907697, 0.7803671982706003, 0.7988068778319511, 0.8186834682611015, 0.8398683442733613, 0.8622130184214865, 0.8855519185620753, 0.9097052855303437, 0.9344821579432747, 0.9596834135314916, 0.9851048383336058, 1.0105401965745235, 1.0357842751632507, 1.0606358775364129, 1.0849007420745342, 1.1083943605489721, 1.13094467202614, 1.1523946073587878, 1.1726044588163511, 1.1914540485191267, 1.2088446680994211, 1.2247007603510847, 1.2389713114527463, 1.2516309195252902, 1.2626805016178013, 1.2721475964271947, 1.2800862137260816, 1.2865761729595535, 1.2917218617578219, 1.2956503285197392, 1.2985085988393963, 1.3004600679966538, 1.3016797602773837, 1.302348136782552, 1.3026429160490174, 1.3027278540505538, 1.3027356772445593], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.7247979649475462}

6.870393

1

6.134421

[ [ 0.6809614402163355, 0.680978670566593, 0.6811402357195053, 0.681651628337743, 0.6827380426267068, 0.6846228877960393, 0.6875158037117938, 0.6916050794829499, 0.6970527123892282, 0.7039912572821662, 0.712521982190016, 0.7227140229896712, 0.7346043269514999, 0.7481982327947423, 0.7634705716907697, 0.7803671982706003, 0.7988068778319511, 0.8186834682611015, 0.8398683442733613, 0.8622130184214865, 0.8855519185620753, 0.9097052855303437, 0.9344821579432747, 0.9596834135314916, 0.9851048383336058, 1.0105401965745235, 1.0357842751632507, 1.0606358775364129, 1.0849007420745342, 1.1083943605489721, 1.13094467202614, 1.1523946073587878, 1.1726044588163511, 1.1914540485191267, 1.2088446680994211, 1.2247007603510847, 1.2389713114527463, 1.2516309195252902, 1.2626805016178013, 1.2721475964271947, 1.2800862137260816, 1.2865761729595535, 1.2917218617578219, 1.2956503285197392, 1.2985085988393963, 1.3004600679966538, 1.3016797602773837, 1.302348136782552, 1.3026429160490174, 1.3027278540505538, 1.3027356772445593 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.23218171674596902, 0.531017753309031, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.724798

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

DXMF9A8UL24UoHmS3RELq9g

null

false

null

false

D7vkLvbVaXFxTUcz4z4UvhL

DXRBVxg89JdtSTAqNuy9GSe

{"qi": 0.008221267580753058, "vacuum_well": -0.16446754490046972, "aspect_ratio": 9.95014599793952, "max_elongation": 5.97730901140244, "average_triangularity": -0.5133150769129784, "axis_magnetic_mirror_ratio": 0.25347234302667476, "edge_magnetic_mirror_ratio": 0.34925664209837215, "aspect_ratio_over_edge_rotational_transform": 12.81130652122453, "flux_compression_in_regions_of_bad_curvature": 1.4570628586326073, "axis_rotational_transform_over_n_field_periods": 0.2177635223306731, "edge_rotational_transform_over_n_field_periods": 0.2588897024008983, "minimum_normalized_magnetic_gradient_scale_length": 5.782294216060206}

9.950146

12.811307

-0.955766

0.253472

0.217764

0.349257

0.25889

1.457063

5.977309

5.782294

0.008221

-0.164468

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.04166986942371049,-0.0018903281899820973,0.008456599607522325,-0.0012844591065400118],[0.0026052672961193535,-0.014306340213853854,0.018709645670431273,-0.059666951886884145,0.08227435223303327,-0.0031919343632762914,0.008167731829332392,0.002611689461057604,0.0005263576209710034],[-0.00020775939727196572,0.007119049788731957,-0.016121838206446887,-0.001083126922109634,-0.00989848355827075,0.0001309713848742383,-0.003554515816202271,0.000597802487267748,0.00012322677671421117],[-0.00022413836167078406,-0.0012905079875654697,0.007454478585316957,-0.004760736076846715,0.0018218334615286147,-0.0015547131075757824,0.00008760664326088905,-0.0001715891116130364,0.00023016987116034673],[-0.00017970183184014526,0.00020651234811311172,0.00021011158139351856,-0.0007355135665503368,-0.00013155874323745326,0.0000774188065980608,-0.00019468942643453355,0.00008163129725132528,-4.3042487021736876e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.06693368784342835,0.01681087121665805,-0.005680160191843518,0.00041394470901542734],[0.00193698144313093,-0.016202668190771045,0.04064580108972077,-0.04453315236158493,-0.1787720119105763,0.002473514739155129,-0.0003413442367273638,-0.0003316253614755148,-0.0004977660255667476],[-0.00133973326554326,0.011754893263562417,-0.02339975482825683,0.0013654932903405127,0.001280900319600029,0.00014955572997927896,0.006093804799552929,-0.0006151024713455487,-0.0001469404525896096],[-0.00035644720135740755,0.00015767164592507383,-0.0003032355176447578,0.006769138943150368,-0.0033816597339422667,0.001874270301844522,0.00020661503509492355,0.00015446435206239976,-0.0002829808287352871],[0.00009631947018414365,-0.000537747375499018,0.00015615797678575498,-0.00010513972190234972,-0.00028616013350065507,0.00030709741009501225,0.00018781027467634615,-0.00016466412740524452,0.00004930352711362129]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.04166986942371049, -0.0018903281899820973, 0.008456599607522325, -0.0012844591065400118 ], [ 0.0026052672961193535, -0.014306340213853854, 0.018709645670431273, -0.059666951886884145, 0.08227435223303327, -0.0031919343632762914, 0.008167731829332392, 0.002611689461057604, 0.0005263576209710034 ], [ -0.00020775939727196572, 0.007119049788731957, -0.016121838206446887, -0.001083126922109634, -0.00989848355827075, 0.0001309713848742383, -0.003554515816202271, 0.000597802487267748, 0.00012322677671421117 ], [ -0.00022413836167078406, -0.0012905079875654697, 0.007454478585316957, -0.004760736076846715, 0.0018218334615286147, -0.0015547131075757824, 0.00008760664326088905, -0.0001715891116130364, 0.00023016987116034673 ], [ -0.00017970183184014526, 0.00020651234811311172, 0.00021011158139351856, -0.0007355135665503368, -0.00013155874323745326, 0.0000774188065980608, -0.00019468942643453355, 0.00008163129725132528, -0.0000043042487021736876 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.06693368784342835, 0.01681087121665805, -0.005680160191843518, 0.00041394470901542734 ], [ 0.00193698144313093, -0.016202668190771045, 0.04064580108972077, -0.04453315236158493, -0.1787720119105763, 0.002473514739155129, -0.0003413442367273638, -0.0003316253614755148, -0.0004977660255667476 ], [ -0.00133973326554326, 0.011754893263562417, -0.02339975482825683, 0.0013654932903405127, 0.001280900319600029, 0.00014955572997927896, 0.006093804799552929, -0.0006151024713455487, -0.0001469404525896096 ], [ -0.00035644720135740755, 0.00015767164592507383, -0.0003032355176447578, 0.006769138943150368, -0.0033816597339422667, 0.001874270301844522, 0.00020661503509492355, 0.00015446435206239976, -0.0002829808287352871 ], [ 0.00009631947018414365, -0.000537747375499018, 0.00015615797678575498, -0.00010513972190234972, -0.00028616013350065507, 0.00030709741009501225, 0.00018781027467634615, -0.00016466412740524452, 0.00004930352711362129 ] ]

DbpYtpm9UySa4LgxxjMa9oa

{"aspect_ratio": 10.641174970712093, "major_radius": 1.0, "max_elongation": 5.872815267396241, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.2615151432660575, 0.17443898784463438, 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": [[0.7316990982678018, 0.7316991457332324, 0.7317008863952129, 0.731713661343226, 0.7317624144627222, 0.7318941737852626, 0.7321822742049152, 0.7327281598232925, 0.733660858340669, 0.7351343545106283, 0.7373231659765043, 0.7404164668150702, 0.7446111236613199, 0.7501040130748078, 0.7570839810047991, 0.7657237886123222, 0.7761723652936623, 0.7885476609953507, 0.8029303569559935, 0.8193586577700795, 0.8378243489002412, 0.8582702631121388, 0.8805892573343368, 0.9046247586603511, 0.930172895076576, 0.9569861834553812, 0.9847787048177327, 1.0132326552572948, 1.0420061206423068, 1.0707418846967645, 1.0990770437513726, 1.1266531678190612, 1.153126717201657, 1.1781793971404286, 1.201528110723375, 1.2229341530926399, 1.2422112788211088, 1.2592322701856267, 1.2739336382283146, 1.2863181025672055, 1.296454521957988, 1.3044749883652624, 1.3105688565475648, 1.3149735642859277, 1.3179622134497149, 1.3198280418241866, 1.3208661415424212, 1.321353111796996, 1.321525853882514, 1.3215616305850268, 1.3215635172516134], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.6634748184073866}

10.641175

1

5.872815

[ [ 0.7316990982678018, 0.7316991457332324, 0.7317008863952129, 0.731713661343226, 0.7317624144627222, 0.7318941737852626, 0.7321822742049152, 0.7327281598232925, 0.733660858340669, 0.7351343545106283, 0.7373231659765043, 0.7404164668150702, 0.7446111236613199, 0.7501040130748078, 0.7570839810047991, 0.7657237886123222, 0.7761723652936623, 0.7885476609953507, 0.8029303569559935, 0.8193586577700795, 0.8378243489002412, 0.8582702631121388, 0.8805892573343368, 0.9046247586603511, 0.930172895076576, 0.9569861834553812, 0.9847787048177327, 1.0132326552572948, 1.0420061206423068, 1.0707418846967645, 1.0990770437513726, 1.1266531678190612, 1.153126717201657, 1.1781793971404286, 1.201528110723375, 1.2229341530926399, 1.2422112788211088, 1.2592322701856267, 1.2739336382283146, 1.2863181025672055, 1.296454521957988, 1.3044749883652624, 1.3105688565475648, 1.3149735642859277, 1.3179622134497149, 1.3198280418241866, 1.3208661415424212, 1.321353111796996, 1.321525853882514, 1.3215616305850268, 1.3215635172516134 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.2615151432660575, 0.17443898784463438, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.663475

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

DhGsbBTrhccgko3YDQEwWNv

null

false

null

false

DEEYzQzbY5uwAG29mX7MexU

DGxyjRvzWYo5aMgcWC8UJfS

{"qi": 0.007391597133838606, "vacuum_well": -0.2895393534854089, "aspect_ratio": 7.693956402029041, "max_elongation": 4.505129578295238, "average_triangularity": 0.06920458851120201, "axis_magnetic_mirror_ratio": 0.6360026459387383, "edge_magnetic_mirror_ratio": 0.8652696055665725, "aspect_ratio_over_edge_rotational_transform": 7.7918687956468995, "flux_compression_in_regions_of_bad_curvature": 0.8773482344971125, "axis_rotational_transform_over_n_field_periods": 0.1772604673597565, "edge_rotational_transform_over_n_field_periods": 0.3291446764917911, "minimum_normalized_magnetic_gradient_scale_length": 2.5480197615348583}

7.693956

7.791869

-0.04738

0.636003

0.17726

0.86527

0.329145

0.877348

4.50513

2.54802

0.007392

-0.289539

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.01632828326282931,-0.038660801671038206,-0.0032145154299825576,0.001177015181967449],[-0.007019448909444023,-0.01609026344118711,0.06299391354169742,-0.030719996768748252,0.12206852287510621,-0.03707346995431989,-0.0005913918386214884,-0.004604720784203209,0.0014755714034907046],[-0.00042599461943400253,0.00007349556215748347,-0.004756228305608701,0.001974566575137361,-0.014543023928075235,-0.0007918143878289934,-0.004670671142700448,0.00008196793483063345,0.0001442375793117579],[0.00020974078425877864,0.0013338442033932086,-0.0025025016319187156,0.000696480140190518,0.001500876677917913,-0.0027980083444812806,0.0015028478381106593,-0.0016154269114656034,0.0003839202926411506],[-0.000219204073139702,-0.00017503399474882067,-0.000016482048321817477,-0.0006277253907214409,0.00084992023603612,-0.0002838277812690408,0.00044613166167128395,-7.205863834896771e-6,0.00001964620791217651]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.010344058138691227,0.00692406129231949,0.006074390055782689,-0.003262805502727695],[-0.010603842948393678,0.008690379261553246,0.05756560515384318,0.010321551621207726,-0.15109791831012145,0.006116854726416349,-0.003544864891949894,0.005982588541665584,-0.0023017051898632634],[0.0008488637682737555,-0.005417729495608991,0.002629844667677733,-0.005382943264454354,0.006282285130466374,-0.002735385200289297,0.006733537209669382,0.00028942074174609584,0.0005761424822629744],[0.0019731803612328086,-0.0023624182461281394,0.0037080329220398967,0.0007101545227075328,-0.001155418652177058,0.002665994168767277,-0.0027041497506893218,0.0024805902868224395,-0.0005574201350938123],[-0.0008867245826539939,0.0016371224083604483,-0.002478769211624837,0.0037699360951956983,-0.0031895710494532097,0.002133160121238698,-0.00179514709889225,0.0005466851186000618,-0.000292665772812042]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.01632828326282931, -0.038660801671038206, -0.0032145154299825576, 0.001177015181967449 ], [ -0.007019448909444023, -0.01609026344118711, 0.06299391354169742, -0.030719996768748252, 0.12206852287510621, -0.03707346995431989, -0.0005913918386214884, -0.004604720784203209, 0.0014755714034907046 ], [ -0.00042599461943400253, 0.00007349556215748347, -0.004756228305608701, 0.001974566575137361, -0.014543023928075235, -0.0007918143878289934, -0.004670671142700448, 0.00008196793483063345, 0.0001442375793117579 ], [ 0.00020974078425877864, 0.0013338442033932086, -0.0025025016319187156, 0.000696480140190518, 0.001500876677917913, -0.0027980083444812806, 0.0015028478381106593, -0.0016154269114656034, 0.0003839202926411506 ], [ -0.000219204073139702, -0.00017503399474882067, -0.000016482048321817477, -0.0006277253907214409, 0.00084992023603612, -0.0002838277812690408, 0.00044613166167128395, -0.000007205863834896771, 0.00001964620791217651 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.010344058138691227, 0.00692406129231949, 0.006074390055782689, -0.003262805502727695 ], [ -0.010603842948393678, 0.008690379261553246, 0.05756560515384318, 0.010321551621207726, -0.15109791831012145, 0.006116854726416349, -0.003544864891949894, 0.005982588541665584, -0.0023017051898632634 ], [ 0.0008488637682737555, -0.005417729495608991, 0.002629844667677733, -0.005382943264454354, 0.006282285130466374, -0.002735385200289297, 0.006733537209669382, 0.00028942074174609584, 0.0005761424822629744 ], [ 0.0019731803612328086, -0.0023624182461281394, 0.0037080329220398967, 0.0007101545227075328, -0.001155418652177058, 0.002665994168767277, -0.0027041497506893218, 0.0024805902868224395, -0.0005574201350938123 ], [ -0.0008867245826539939, 0.0016371224083604483, -0.002478769211624837, 0.0037699360951956983, -0.0031895710494532097, 0.002133160121238698, -0.00179514709889225, 0.0005466851186000618, -0.000292665772812042 ] ]

DMNbpCzX8TgqoEuBFXATQXE

{"aspect_ratio": 6.865503201354336, "major_radius": 1.0, "max_elongation": 6.067753956183019, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.10042567002099391, -0.20021251905369672, 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": [[0.7379027141830443, 0.7379084381893614, 0.7379632809446426, 0.7381413552052503, 0.7385300753915435, 0.7392237836462082, 0.7403199632831549, 0.741916557582584, 0.7441099100754031, 0.7469931053204582, 0.7506545910807061, 0.7551770106796165, 0.760636199764409, 0.7671003164696119, 0.774629083136749, 0.7832731237425385, 0.7930733852911189, 0.804060634344009, 0.8162550220111375, 0.829665712363604, 0.8442905705182586, 0.8601159076953733, 0.8771162814398374, 0.8952543499788309, 0.9144807804073032, 0.9347342110816537, 0.955941269292655, 0.9780166460107875, 1.0008632302822755, 1.0243723067382038, 1.0484238207057408, 1.0728867166353102, 1.09761935705408, 1.1224700311246318, 1.1472775642684272, 1.1718720434076122, 1.1960756764805305, 1.219703810439065, 1.2425661396234733, 1.2644681473200559, 1.285212839225983, 1.3046028515259764, 1.3224430537761802, 1.3385438280449762, 1.3527253113360689, 1.3648230827853274, 1.3746961672211637, 1.3822391041885644, 1.3874021587737446, 1.3902318171292456, 1.3909966627835182], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3423362327450441}

6.865503

1

6.067754

[ [ 0.7379027141830443, 0.7379084381893614, 0.7379632809446426, 0.7381413552052503, 0.7385300753915435, 0.7392237836462082, 0.7403199632831549, 0.741916557582584, 0.7441099100754031, 0.7469931053204582, 0.7506545910807061, 0.7551770106796165, 0.760636199764409, 0.7671003164696119, 0.774629083136749, 0.7832731237425385, 0.7930733852911189, 0.804060634344009, 0.8162550220111375, 0.829665712363604, 0.8442905705182586, 0.8601159076953733, 0.8771162814398374, 0.8952543499788309, 0.9144807804073032, 0.9347342110816537, 0.955941269292655, 0.9780166460107875, 1.0008632302822755, 1.0243723067382038, 1.0484238207057408, 1.0728867166353102, 1.09761935705408, 1.1224700311246318, 1.1472775642684272, 1.1718720434076122, 1.1960756764805305, 1.219703810439065, 1.2425661396234733, 1.2644681473200559, 1.285212839225983, 1.3046028515259764, 1.3224430537761802, 1.3385438280449762, 1.3527253113360689, 1.3648230827853274, 1.3746961672211637, 1.3822391041885644, 1.3874021587737446, 1.3902318171292456, 1.3909966627835182 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.10042567002099391, -0.20021251905369672, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.342336

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

DHj64ZxCkcqR34ngKCb3puS

null

false

null

false

DKM5oq5ispYxkGt3TyaeNVS

DKuiRVrFKhNKsRDUAGgyJbG

{"qi": 0.005098177318261309, "vacuum_well": -0.13155919260275994, "aspect_ratio": 8.991756880692831, "max_elongation": 5.493491284819672, "average_triangularity": -0.4079026599737108, "axis_magnetic_mirror_ratio": 0.19372168228276404, "edge_magnetic_mirror_ratio": 0.22435448397039803, "aspect_ratio_over_edge_rotational_transform": 14.627454659887581, "flux_compression_in_regions_of_bad_curvature": 1.5262751019233185, "axis_rotational_transform_over_n_field_periods": 0.1355265950068828, "edge_rotational_transform_over_n_field_periods": 0.20490593635429613, "minimum_normalized_magnetic_gradient_scale_length": 6.1988584018274455}

8.991757

14.627455

-0.648434

0.193722

0.135527

0.224354

0.204906

1.526275

5.493491

6.198858

0.005098

-0.131559

{"r_cos":[[0.0,0.0,0.0,0.0,0.9993991994467961,0.023483748820459612,-0.02981310328892023,-0.0006452635311140972,-0.00119255463759553],[-0.0006545522748645726,-0.002364776933174751,-0.019054368911861026,-0.05846257557552029,0.15268530714541592,0.005807180271793274,-0.006573014232233548,0.0005430693306845772,-0.001012047123318506],[-0.0001339890642034061,-0.0028791830784573973,-0.013516812486948557,0.008480135568561371,-0.021717715811639036,0.012861402564648412,-0.006481431734706951,0.0012072143846083591,-0.00007530642958564174],[0.00010179835829863294,0.0018556698490320561,0.00859673192129892,-0.006755593380702368,-0.0023168494556253874,0.0026176785440643747,0.0005941607950971494,-0.0002854598574233691,-9.416883553908835e-6],[0.00005398889258058587,0.0005833457627650335,-0.0019917171978773647,0.0012315674613862246,0.00009823001247536746,-0.00018721895246901897,0.00028731608692411095,0.000036609830026234486,-7.498113790499906e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.31131028518238857,0.0009086705312246756,0.004288503359338721,0.00025709715860735075],[-0.0008116001836841017,-0.00830142468148172,-0.008595881474581676,-0.06214069670222131,-0.10721078474813749,0.03190710960296419,-0.015743903733072735,0.0063789024581028695,0.00037142607766438025],[-0.000418410347276259,-0.0012755264671194546,-0.014728672756684599,0.0006047838353880222,0.0011203079588804766,-0.0010615243667883463,-0.0007155319733798326,-0.0007532645517050037,0.0003362869694892198],[0.0002779717617178831,0.0007635109739093197,0.0058006740534879,0.003768489174035338,0.00014578475070936773,-0.0006808900373641766,0.00036492724804874357,-0.000054765859525100476,-6.033697692770461e-6],[0.00010016848945342426,-0.00002936028132062477,-0.00007204277714176836,-0.0006009280532275262,-0.0002446899274030302,-0.00019425559768378254,-0.00023557338636737897,-5.006708974231981e-6,-8.962117230308306e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9993991994467961, 0.023483748820459612, -0.02981310328892023, -0.0006452635311140972, -0.00119255463759553 ], [ -0.0006545522748645726, -0.002364776933174751, -0.019054368911861026, -0.05846257557552029, 0.15268530714541592, 0.005807180271793274, -0.006573014232233548, 0.0005430693306845772, -0.001012047123318506 ], [ -0.0001339890642034061, -0.0028791830784573973, -0.013516812486948557, 0.008480135568561371, -0.021717715811639036, 0.012861402564648412, -0.006481431734706951, 0.0012072143846083591, -0.00007530642958564174 ], [ 0.00010179835829863294, 0.0018556698490320561, 0.00859673192129892, -0.006755593380702368, -0.0023168494556253874, 0.0026176785440643747, 0.0005941607950971494, -0.0002854598574233691, -0.000009416883553908835 ], [ 0.00005398889258058587, 0.0005833457627650335, -0.0019917171978773647, 0.0012315674613862246, 0.00009823001247536746, -0.00018721895246901897, 0.00028731608692411095, 0.000036609830026234486, -0.000007498113790499906 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.31131028518238857, 0.0009086705312246756, 0.004288503359338721, 0.00025709715860735075 ], [ -0.0008116001836841017, -0.00830142468148172, -0.008595881474581676, -0.06214069670222131, -0.10721078474813749, 0.03190710960296419, -0.015743903733072735, 0.0063789024581028695, 0.00037142607766438025 ], [ -0.000418410347276259, -0.0012755264671194546, -0.014728672756684599, 0.0006047838353880222, 0.0011203079588804766, -0.0010615243667883463, -0.0007155319733798326, -0.0007532645517050037, 0.0003362869694892198 ], [ 0.0002779717617178831, 0.0007635109739093197, 0.0058006740534879, 0.003768489174035338, 0.00014578475070936773, -0.0006808900373641766, 0.00036492724804874357, -0.000054765859525100476, -0.000006033697692770461 ], [ 0.00010016848945342426, -0.00002936028132062477, -0.00007204277714176836, -0.0006009280532275262, -0.0002446899274030302, -0.00019425559768378254, -0.00023557338636737897, -0.000005006708974231981, -0.000008962117230308306 ] ]

DeugQJQp4APSiC5mgB6i2f4

{"aspect_ratio": 8.81852347640648, "major_radius": 1.0, "max_elongation": 4.925590241411413, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0021050098051389496, 0.24850838198405478, 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": [[0.848876171465291, 0.8488763151657972, 0.8488791444301712, 0.8488934633103086, 0.8489359780993924, 0.8490317200619343, 0.8492139249006789, 0.84952356584514, 0.8500086409957905, 0.8507232778778336, 0.8517266992645608, 0.8530820834954126, 0.8548553457382658, 0.8571138621469373, 0.8599251557491294, 0.8633555606780937, 0.8674688797479251, 0.8723250491928398, 0.8779788235338816, 0.8844784929297935, 0.8918646449645232, 0.9001689825908166, 0.9094132098681155, 0.9196079971928778, 0.9307520379170644, 0.9428312085888507, 0.9558178455379198, 0.9696701511819807, 0.984331744275285, 0.999731369387333, 1.0157827822364949, 1.0323848291711961, 1.0494217411754132, 1.0667636653917587, 1.0842674604657203, 1.1017777862458584, 1.1191285238526447, 1.1361445693298655, 1.152644053731675, 1.1684410556760303, 1.1833488908604435, 1.1971840896706718, 1.2097712137709002, 1.2209487243971426, 1.2305762161675196, 1.2385435061033079, 1.2447823989565363, 1.2492826447183412, 1.2521153006147479, 1.2534719993466756, 1.2537572019831114], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.38963634863416896}

8.818523

1

4.92559

[ [ 0.848876171465291, 0.8488763151657972, 0.8488791444301712, 0.8488934633103086, 0.8489359780993924, 0.8490317200619343, 0.8492139249006789, 0.84952356584514, 0.8500086409957905, 0.8507232778778336, 0.8517266992645608, 0.8530820834954126, 0.8548553457382658, 0.8571138621469373, 0.8599251557491294, 0.8633555606780937, 0.8674688797479251, 0.8723250491928398, 0.8779788235338816, 0.8844784929297935, 0.8918646449645232, 0.9001689825908166, 0.9094132098681155, 0.9196079971928778, 0.9307520379170644, 0.9428312085888507, 0.9558178455379198, 0.9696701511819807, 0.984331744275285, 0.999731369387333, 1.0157827822364949, 1.0323848291711961, 1.0494217411754132, 1.0667636653917587, 1.0842674604657203, 1.1017777862458584, 1.1191285238526447, 1.1361445693298655, 1.152644053731675, 1.1684410556760303, 1.1833488908604435, 1.1971840896706718, 1.2097712137709002, 1.2209487243971426, 1.2305762161675196, 1.2385435061033079, 1.2447823989565363, 1.2492826447183412, 1.2521153006147479, 1.2534719993466756, 1.2537572019831114 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.0021050098051389496, 0.24850838198405478, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.389636

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

DGwPAgaAjykTvyaMfjAyAYi

null

false

null

false

DH7CdULzvUqKcepaongs5Co

DYRwjLha9DRzKmvrToHx96H

{"qi": 0.011654796739071372, "vacuum_well": -0.11738474808646955, "aspect_ratio": 9.390237066382747, "max_elongation": 5.535808808979142, "average_triangularity": -0.401155336372613, "axis_magnetic_mirror_ratio": 0.2821441798883718, "edge_magnetic_mirror_ratio": 0.3074821074328605, "aspect_ratio_over_edge_rotational_transform": 18.7514213138883, "flux_compression_in_regions_of_bad_curvature": 1.4121785005154335, "axis_rotational_transform_over_n_field_periods": 0.14780709926278945, "edge_rotational_transform_over_n_field_periods": 0.1251936707782764, "minimum_normalized_magnetic_gradient_scale_length": 8.371624667820825}

9.390237

18.751421

-0.847983

0.282144

0.147807

0.307482

0.125194

1.412179

5.535809

8.371625

0.011655

-0.117385

{"r_cos":[[0.0,0.0,0.0,0.0,0.9994660855382409,0.0608613810307701,-0.011047382756206148,-0.0008591588542206703,0.0002939240739469263],[-0.00009506074034910475,-0.0009861115926743354,-0.018260760669611825,-0.06496155634375492,0.0924596860929166,0.04249141371663074,-0.005194704111894368,-0.0021572310985697573,0.00027191733206254466],[-0.0006394761889508214,-0.003306030058358773,0.0007941828431198912,0.014753959956124822,-0.03718630179102536,0.011678523755547121,0.0025365657766112043,-0.0009910085813922601,0.00008258091692232438],[0.00009570376053589758,0.00014012920633275314,-0.00025376811967331913,-0.003745809380342538,0.008520571331454299,-0.002424409341950879,-0.00013532454200297942,-0.0006660133310824089,0.0002458918489774451],[-0.000017559988982175138,-0.00017317588482967442,-0.00004295142933504316,0.0008588621563838566,0.00022546809297098458,-0.0009136407373760329,0.0004973262660810641,-0.00018938059079299312,0.00015137009034941128]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0801482418935835,-0.012617141484518705,0.0006082224147401644,-0.00006675156920282234],[-9.979066272464317e-6,-0.00035986735858534977,-0.01265991626903496,-0.038077903663879406,-0.15793396028905415,0.014251343330762584,0.003909295763235078,0.00007151485624323837,0.00008690118460491153],[-0.0002747836770036127,-0.0015039425910613495,-0.0035769718452849076,0.007104697476391024,-0.004101607175759608,-0.011575674348474344,0.002837952211796143,-0.0001289366857104851,0.000023477184743333498],[-2.150888979687613e-6,0.0010117491779243807,0.00005651371513250053,-0.003258116799969044,0.008510289772712355,-0.002738740306932055,0.0017808984589115378,-0.0004302874065666772,-2.8539315556608806e-6],[0.00004894035136460655,-0.00008134633743242441,-0.0007508671204492707,0.0017886580118886615,-0.0023709956899174455,0.0014665798905939287,-0.0003784508127384208,-0.00019865782349891642,-0.00005369110255799332]],"r_sin":null,"z_cos":null,"n_field_periods":4,"is_stellarator_symmetric":true}

true

4

[ [ 0, 0, 0, 0, 0.9994660855382409, 0.0608613810307701, -0.011047382756206148, -0.0008591588542206703, 0.0002939240739469263 ], [ -0.00009506074034910475, -0.0009861115926743354, -0.018260760669611825, -0.06496155634375492, 0.0924596860929166, 0.04249141371663074, -0.005194704111894368, -0.0021572310985697573, 0.00027191733206254466 ], [ -0.0006394761889508214, -0.003306030058358773, 0.0007941828431198912, 0.014753959956124822, -0.03718630179102536, 0.011678523755547121, 0.0025365657766112043, -0.0009910085813922601, 0.00008258091692232438 ], [ 0.00009570376053589758, 0.00014012920633275314, -0.00025376811967331913, -0.003745809380342538, 0.008520571331454299, -0.002424409341950879, -0.00013532454200297942, -0.0006660133310824089, 0.0002458918489774451 ], [ -0.000017559988982175138, -0.00017317588482967442, -0.00004295142933504316, 0.0008588621563838566, 0.00022546809297098458, -0.0009136407373760329, 0.0004973262660810641, -0.00018938059079299312, 0.00015137009034941128 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0801482418935835, -0.012617141484518705, 0.0006082224147401644, -0.00006675156920282234 ], [ -0.000009979066272464317, -0.00035986735858534977, -0.01265991626903496, -0.038077903663879406, -0.15793396028905415, 0.014251343330762584, 0.003909295763235078, 0.00007151485624323837, 0.00008690118460491153 ], [ -0.0002747836770036127, -0.0015039425910613495, -0.0035769718452849076, 0.007104697476391024, -0.004101607175759608, -0.011575674348474344, 0.002837952211796143, -0.0001289366857104851, 0.000023477184743333498 ], [ -0.000002150888979687613, 0.0010117491779243807, 0.00005651371513250053, -0.003258116799969044, 0.008510289772712355, -0.002738740306932055, 0.0017808984589115378, -0.0004302874065666772, -0.0000028539315556608806 ], [ 0.00004894035136460655, -0.00008134633743242441, -0.0007508671204492707, 0.0017886580118886615, -0.0023709956899174455, 0.0014665798905939287, -0.0003784508127384208, -0.00019865782349891642, -0.00005369110255799332 ] ]

D3WtJ9amxUPDrbCvedb2kBe

{"aspect_ratio": 9.273021873308554, "major_radius": 1.0, "max_elongation": 5.341439182358265, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.22855522939136716, 0.014654437312533401, 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": [[0.8060728686389247, 0.806072984630621, 0.806075658971912, 0.8060905438822585, 0.8061376809994734, 0.8062489603754981, 0.8064685596394011, 0.8068526537718864, 0.8074685681773683, 0.8083934964132607, 0.8097128760003435, 0.811518498522764, 0.8139064187084682, 0.816974719006868, 0.8208211801158626, 0.8255409032519249, 0.8312239262782801, 0.8379528728350998, 0.8458006711711682, 0.8548283773342544, 0.8650831356493921, 0.8765963079366951, 0.8893818016460938, 0.9034346259801244, 0.9187297041107965, 0.9352209687521018, 0.9528407676102134, 0.9714996045870165, 0.9910862420505522, 1.0114681890022204, 1.0324925995615983, 1.0539876058543822, 1.0757641091287191, 1.097618052744588, 1.1193332005881762, 1.1406844444715891, 1.1614416642078627, 1.181374164332132, 1.2002557119170474, 1.2178702006723916, 1.234017967631463, 1.2485227903795124, 1.2612395952533033, 1.272062910723076, 1.2809361061528692, 1.2878614660798076, 1.2929111678302734, 1.2962392647971956, 1.298094854852367, 1.2988368276609756, 1.2989515291098286], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5961804452522759}

9.273022

1

5.341439

[ [ 0.8060728686389247, 0.806072984630621, 0.806075658971912, 0.8060905438822585, 0.8061376809994734, 0.8062489603754981, 0.8064685596394011, 0.8068526537718864, 0.8074685681773683, 0.8083934964132607, 0.8097128760003435, 0.811518498522764, 0.8139064187084682, 0.816974719006868, 0.8208211801158626, 0.8255409032519249, 0.8312239262782801, 0.8379528728350998, 0.8458006711711682, 0.8548283773342544, 0.8650831356493921, 0.8765963079366951, 0.8893818016460938, 0.9034346259801244, 0.9187297041107965, 0.9352209687521018, 0.9528407676102134, 0.9714996045870165, 0.9910862420505522, 1.0114681890022204, 1.0324925995615983, 1.0539876058543822, 1.0757641091287191, 1.097618052744588, 1.1193332005881762, 1.1406844444715891, 1.1614416642078627, 1.181374164332132, 1.2002557119170474, 1.2178702006723916, 1.234017967631463, 1.2485227903795124, 1.2612395952533033, 1.272062910723076, 1.2809361061528692, 1.2878614660798076, 1.2929111678302734, 1.2962392647971956, 1.298094854852367, 1.2988368276609756, 1.2989515291098286 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.22855522939136716, 0.014654437312533401, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.59618

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

D7Xw5pz76febeNqK8R9WJyk

null

false

null

false

DdrXsUMBZ5Z7xrQ4tWgLxqN

D4CrdkfNAFMehzy4TVjDupD

{"qi": 0.004958584040156424, "vacuum_well": -0.1688401704049039, "aspect_ratio": 9.881573877877887, "max_elongation": 5.811666320812295, "average_triangularity": -0.51227515639818, "axis_magnetic_mirror_ratio": 0.21150408131582255, "edge_magnetic_mirror_ratio": 0.28551101854166155, "aspect_ratio_over_edge_rotational_transform": 15.830406112680404, "flux_compression_in_regions_of_bad_curvature": 1.409862758427733, "axis_rotational_transform_over_n_field_periods": 0.22215100638871865, "edge_rotational_transform_over_n_field_periods": 0.20807160194419758, "minimum_normalized_magnetic_gradient_scale_length": 3.285791249815774}

9.881574

15.830406

-0.954761

0.211504

0.222151

0.285511

0.208072

1.409863

5.811666

3.285791

0.004959

-0.16884

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.047673145774137095,-0.009782160327029315,0.00829249719605212,-0.0005780863753147882],[0.0024380368508881375,-0.006273261370200042,0.021563812182987866,-0.09146332439021135,0.08217532201285306,0.0229225589678941,0.013055792153998953,0.0011862919132470985,0.0003153399463123518],[-0.0007037867140340557,0.0063529446812206295,-0.007380641053837915,0.002715607349088798,-0.03294909646735804,-0.011835052999803914,-0.0084261091668547,-0.0010265221665964291,-0.00036258745563027547],[0.0015650338515944711,-0.004422525103365303,0.0052076455615127915,0.0010920792713135332,0.006162291344853339,0.0015547149691021694,0.002232890969235902,0.0009295597121391505,0.00021537512527175853],[0.00027814321060734256,0.00047709945808489926,-0.0006175357722914524,-0.0008590718122136447,-0.0010673837240966144,-0.0007413320461176244,-0.000619946817234577,-0.00011166298426881248,-0.00005396438441764836]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.13912100102355562,0.022631072459671036,-0.003786714183588115,0.00002983846655854085],[0.00259691462392237,-0.015852408907523347,0.0468190607254115,-0.010916703299999072,-0.14456983062598824,0.00752836016346708,-0.0009841894984825433,0.0020623089376534945,0.00008269807068196351],[-0.0016271212226286803,0.010716150010837866,-0.021259554341252068,0.016804346780129466,0.018258253211630746,-0.002016804201867072,0.0021756918890665066,-0.0011683943702861408,0.0000380279050616407],[-0.00029605047622020266,0.002568190123528214,-0.003008081754127462,0.0013597806619712843,-0.0008866937176521682,0.0012899216333419699,-0.0020563888214607294,0.00018205302669913482,0.00013719944708584216],[-0.000040572055960595096,0.00024990317963234724,0.0002782483853429833,-0.000367515792850882,-0.00019606683527130213,0.00041513906978398835,-0.00009653297342863451,-0.0001163596276439507,0.000050196885137734983]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, -0.047673145774137095, -0.009782160327029315, 0.00829249719605212, -0.0005780863753147882 ], [ 0.0024380368508881375, -0.006273261370200042, 0.021563812182987866, -0.09146332439021135, 0.08217532201285306, 0.0229225589678941, 0.013055792153998953, 0.0011862919132470985, 0.0003153399463123518 ], [ -0.0007037867140340557, 0.0063529446812206295, -0.007380641053837915, 0.002715607349088798, -0.03294909646735804, -0.011835052999803914, -0.0084261091668547, -0.0010265221665964291, -0.00036258745563027547 ], [ 0.0015650338515944711, -0.004422525103365303, 0.0052076455615127915, 0.0010920792713135332, 0.006162291344853339, 0.0015547149691021694, 0.002232890969235902, 0.0009295597121391505, 0.00021537512527175853 ], [ 0.00027814321060734256, 0.00047709945808489926, -0.0006175357722914524, -0.0008590718122136447, -0.0010673837240966144, -0.0007413320461176244, -0.000619946817234577, -0.00011166298426881248, -0.00005396438441764836 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.13912100102355562, 0.022631072459671036, -0.003786714183588115, 0.00002983846655854085 ], [ 0.00259691462392237, -0.015852408907523347, 0.0468190607254115, -0.010916703299999072, -0.14456983062598824, 0.00752836016346708, -0.0009841894984825433, 0.0020623089376534945, 0.00008269807068196351 ], [ -0.0016271212226286803, 0.010716150010837866, -0.021259554341252068, 0.016804346780129466, 0.018258253211630746, -0.002016804201867072, 0.0021756918890665066, -0.0011683943702861408, 0.0000380279050616407 ], [ -0.00029605047622020266, 0.002568190123528214, -0.003008081754127462, 0.0013597806619712843, -0.0008866937176521682, 0.0012899216333419699, -0.0020563888214607294, 0.00018205302669913482, 0.00013719944708584216 ], [ -0.000040572055960595096, 0.00024990317963234724, 0.0002782483853429833, -0.000367515792850882, -0.00019606683527130213, 0.00041513906978398835, -0.00009653297342863451, -0.0001163596276439507, 0.000050196885137734983 ] ]

DKT3BLbGpJNVz6geok6cQWg

{"aspect_ratio": 9.822069866043574, "major_radius": 1.0, "max_elongation": 5.5089391590486585, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0029162625439315575, -0.22797818911782688, 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": [[0.7936330529118365, 0.7936331050566822, 0.7936345669915131, 0.7936437496065026, 0.7936754047488053, 0.7937551118699748, 0.7939207371248084, 0.7942230969629088, 0.7947259292414486, 0.7955052605690247, 0.7966482499822517, 0.7982515832519463, 0.8004194878829292, 0.8032614356012704, 0.8068895964799846, 0.8114161066391581, 0.8169502095427359, 0.8235953292172533, 0.8314461321786196, 0.8405856334285687, 0.8510824005398517, 0.8629879085626436, 0.876334097232374, 0.8911311807224337, 0.9073657589466325, 0.92499927815915, 0.9439668873069598, 0.9641767352430779, 0.9855097524881715, 1.0078199597095567, 1.0309353434423807, 1.0546593377734306, 1.0787729487004447, 1.1030375556136305, 1.1271984217489326, 1.150988942437651, 1.174135656392219, 1.1963640409392453, 1.217405106775172, 1.2370028010912808, 1.2549222192100649, 1.2709586132821853, 1.284947170628719, 1.2967735114485839, 1.3063848212885185, 1.3138014790957584, 1.3191289483222115, 1.322569522725501, 1.3244331392794169, 1.3251454590475242, 1.3252472225580596], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.46301744836360215}

9.82207

1

5.508939

[ [ 0.7936330529118365, 0.7936331050566822, 0.7936345669915131, 0.7936437496065026, 0.7936754047488053, 0.7937551118699748, 0.7939207371248084, 0.7942230969629088, 0.7947259292414486, 0.7955052605690247, 0.7966482499822517, 0.7982515832519463, 0.8004194878829292, 0.8032614356012704, 0.8068895964799846, 0.8114161066391581, 0.8169502095427359, 0.8235953292172533, 0.8314461321786196, 0.8405856334285687, 0.8510824005398517, 0.8629879085626436, 0.876334097232374, 0.8911311807224337, 0.9073657589466325, 0.92499927815915, 0.9439668873069598, 0.9641767352430779, 0.9855097524881715, 1.0078199597095567, 1.0309353434423807, 1.0546593377734306, 1.0787729487004447, 1.1030375556136305, 1.1271984217489326, 1.150988942437651, 1.174135656392219, 1.1963640409392453, 1.217405106775172, 1.2370028010912808, 1.2549222192100649, 1.2709586132821853, 1.284947170628719, 1.2967735114485839, 1.3063848212885185, 1.3138014790957584, 1.3191289483222115, 1.322569522725501, 1.3244331392794169, 1.3251454590475242, 1.3252472225580596 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.0029162625439315575, -0.22797818911782688, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.463017

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

DDJx5rdVJ3tJFSwafiVP3LQ

null

false

null

false

DddMXjxxuYW8B99nKYkqkaq

D83VVf3EBtmkjb4gY6BvAVC

{"qi": 0.03455228739962926, "vacuum_well": -0.18732383994332652, "aspect_ratio": 9.614081346094789, "max_elongation": 5.134328542730071, "average_triangularity": -0.18696021863769038, "axis_magnetic_mirror_ratio": 0.18839712148057458, "edge_magnetic_mirror_ratio": 0.32690688582753796, "aspect_ratio_over_edge_rotational_transform": 9.243926263355753, "flux_compression_in_regions_of_bad_curvature": 1.1405770039195673, "axis_rotational_transform_over_n_field_periods": 0.2702382422293422, "edge_rotational_transform_over_n_field_periods": 0.34668101959396425, "minimum_normalized_magnetic_gradient_scale_length": 6.140470316645356}

9.614081

9.243926

-0.448233

0.188397

0.270238

0.326907

0.346681

1.140577

5.134329

6.14047

0.034552

-0.187324

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.027900938218820885,-0.03789308516509158,-0.004900453674001561,0.0006173061736651332],[-0.004533405594230653,0.004591956759281495,0.0560049308509085,-0.04236460350410857,0.09410553947768867,0.002182506585503896,-0.01054181425278674,-0.0006072260946872288,0.001055850239579588],[0.0015917138083165554,-0.0003124913915426115,-0.003930460870035884,-0.018069370732692613,-0.04561245803397755,-0.010842983483646887,-0.0034382310694221715,-0.0026452658978198982,-0.0003513262815572276],[-0.00005527326821358438,-0.00015470019181040325,-0.003642182428996314,-0.0029263219797320108,-0.0004860571491540572,-0.002143139582358797,-0.0009465453442067274,-0.00021786559554129453,-0.00005969283346272632],[0.00024065469004944475,-0.00037444753083491615,0.00008571687725149969,0.00009537660435502291,-0.0003288864555092354,0.0003880137982678203,0.0001253012990200474,0.00003306468104979769,0.0000230849838569003]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.069136976375437,0.0021524585735881174,0.008096019343279604,-0.0021562302492724485],[-0.004209445242347717,0.009219645658665884,0.04155414004647723,-0.007559061450087157,-0.12053891352625158,-0.0052022114923868466,0.011190084512752194,-0.0008923821823571222,-0.0005572154258439916],[0.0009573950075389192,0.002414148159339694,-0.020229731512367,-0.009935588604965292,0.020092784017495816,0.008744863047342802,0.0024755799202368124,0.0023681740074518115,0.0005549950514845539],[0.00008473042274335251,-0.0007747283355676822,-0.0001812233011476873,-0.000054049111954765524,-0.0028996265693896077,-0.0008333488756952156,0.0009175863254425378,0.00016830804065284832,-0.000014564746235125198],[0.00010473134515217772,-0.0002606765172932747,-0.0003639847697086679,-0.0009062024232094528,-0.00030982967996548514,-0.0004544129206394973,-0.00001875457091198181,-0.000039830709610097614,-2.4121397247907957e-6]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.027900938218820885, -0.03789308516509158, -0.004900453674001561, 0.0006173061736651332 ], [ -0.004533405594230653, 0.004591956759281495, 0.0560049308509085, -0.04236460350410857, 0.09410553947768867, 0.002182506585503896, -0.01054181425278674, -0.0006072260946872288, 0.001055850239579588 ], [ 0.0015917138083165554, -0.0003124913915426115, -0.003930460870035884, -0.018069370732692613, -0.04561245803397755, -0.010842983483646887, -0.0034382310694221715, -0.0026452658978198982, -0.0003513262815572276 ], [ -0.00005527326821358438, -0.00015470019181040325, -0.003642182428996314, -0.0029263219797320108, -0.0004860571491540572, -0.002143139582358797, -0.0009465453442067274, -0.00021786559554129453, -0.00005969283346272632 ], [ 0.00024065469004944475, -0.00037444753083491615, 0.00008571687725149969, 0.00009537660435502291, -0.0003288864555092354, 0.0003880137982678203, 0.0001253012990200474, 0.00003306468104979769, 0.0000230849838569003 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.069136976375437, 0.0021524585735881174, 0.008096019343279604, -0.0021562302492724485 ], [ -0.004209445242347717, 0.009219645658665884, 0.04155414004647723, -0.007559061450087157, -0.12053891352625158, -0.0052022114923868466, 0.011190084512752194, -0.0008923821823571222, -0.0005572154258439916 ], [ 0.0009573950075389192, 0.002414148159339694, -0.020229731512367, -0.009935588604965292, 0.020092784017495816, 0.008744863047342802, 0.0024755799202368124, 0.0023681740074518115, 0.0005549950514845539 ], [ 0.00008473042274335251, -0.0007747283355676822, -0.0001812233011476873, -0.000054049111954765524, -0.0028996265693896077, -0.0008333488756952156, 0.0009175863254425378, 0.00016830804065284832, -0.000014564746235125198 ], [ 0.00010473134515217772, -0.0002606765172932747, -0.0003639847697086679, -0.0009062024232094528, -0.00030982967996548514, -0.0004544129206394973, -0.00001875457091198181, -0.000039830709610097614, -0.0000024121397247907957 ] ]

DGyRDy4G9vG7YfUpqTDSWM5

{"aspect_ratio": 9.155801828033844, "major_radius": 1.0, "max_elongation": 4.721799511243816, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04635148425231002, -0.4717383964188228, 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": [[0.8195374910803885, 0.819538080821577, 0.8195506257304241, 0.8196157909424308, 0.8198094252606827, 0.8202395508308812, 0.8210393618039334, 0.8223583414673127, 0.8243527389829829, 0.8271762147918732, 0.8309711988021018, 0.8358613243361102, 0.8419451686800881, 0.849291430755579, 0.8579355983784838, 0.8678780960280864, 0.8790838553089082, 0.8914832118319028, 0.9049740022817457, 0.9194247126587495, 0.9346785120886365, 0.9505579954013771, 0.9668704512677608, 0.9834134705390374, 0.9999807111347702, 1.016367641004517, 1.032377089035932, 1.0478244450185055, 1.0625423636500009, 1.0763848438651495, 1.089230573262932, 1.100985447911031, 1.111584200122436, 1.120991090741819, 1.1291996478600868, 1.1362314605016963, 1.1421340634991344, 1.146977978265638, 1.1508530032620228, 1.1538638773557708, 1.1561254686744857, 1.1577576705806742, 1.1588802145652124, 1.159607636555719, 1.160044657526428, 1.1602822601831875, 1.1603947590673156, 1.1604381687028282, 1.1604501680117134, 1.1604519278330874, 1.160451981736851], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.774145893233661}

9.155802

1

4.7218

[ [ 0.8195374910803885, 0.819538080821577, 0.8195506257304241, 0.8196157909424308, 0.8198094252606827, 0.8202395508308812, 0.8210393618039334, 0.8223583414673127, 0.8243527389829829, 0.8271762147918732, 0.8309711988021018, 0.8358613243361102, 0.8419451686800881, 0.849291430755579, 0.8579355983784838, 0.8678780960280864, 0.8790838553089082, 0.8914832118319028, 0.9049740022817457, 0.9194247126587495, 0.9346785120886365, 0.9505579954013771, 0.9668704512677608, 0.9834134705390374, 0.9999807111347702, 1.016367641004517, 1.032377089035932, 1.0478244450185055, 1.0625423636500009, 1.0763848438651495, 1.089230573262932, 1.100985447911031, 1.111584200122436, 1.120991090741819, 1.1291996478600868, 1.1362314605016963, 1.1421340634991344, 1.146977978265638, 1.1508530032620228, 1.1538638773557708, 1.1561254686744857, 1.1577576705806742, 1.1588802145652124, 1.159607636555719, 1.160044657526428, 1.1602822601831875, 1.1603947590673156, 1.1604381687028282, 1.1604501680117134, 1.1604519278330874, 1.160451981736851 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.04635148425231002, -0.4717383964188228, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.774146

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

DeawPGPoGXjLHUBb2ks3bcf

null

false

null

false

DHYxXFAYTMtx6mqTVSZMwgy

D7zXYVmhmS5JunWxeqSEUvS

{"qi": 0.002673195639163418, "vacuum_well": -0.1399924696879139, "aspect_ratio": 9.818878411844748, "max_elongation": 6.329992560286283, "average_triangularity": 0.06504391450804886, "axis_magnetic_mirror_ratio": 0.2679713725536641, "edge_magnetic_mirror_ratio": 0.3524264975884188, "aspect_ratio_over_edge_rotational_transform": 9.04888789227415, "flux_compression_in_regions_of_bad_curvature": 1.2993536444072744, "axis_rotational_transform_over_n_field_periods": 0.22320044191089444, "edge_rotational_transform_over_n_field_periods": 0.21701845638352993, "minimum_normalized_magnetic_gradient_scale_length": 13.000856499794338}

9.818878

9.048888

0.219232

0.267971

0.2232

0.352426

0.217018

1.299354

6.329993

13.000856

0.002673

-0.139992

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.035924080850755734,0.00005988088345984391,0.0005371337786046855,-0.00017158205663830254],[0.0004938890844981604,-0.00019943419398499822,-0.0020991139991518868,0.07360726258872655,0.08508096631706744,-0.030913924042183183,0.003016503004168481,-0.0008759933898556122,0.00038920130329243337],[0.00018726094589923255,0.0018837574075070093,-0.006809367723117828,-0.03329679708037432,0.019949715755740564,-0.009000444715686465,0.0011092597012899402,-0.0002815428972510769,0.00008097456938982216],[-0.000022216600563094632,0.0005810430017886914,0.003973328344449252,0.0031251432007016458,0.0019469107130797593,-0.0029877177987684047,0.0009338424605771971,-0.00013399747681263225,-0.00002896239975379581],[-0.000053904829396909514,-0.0007664671908657987,-0.00023798475059090953,0.0010220449455656936,-0.0004738732386501028,0.00010700396025737074,0.0003862538725056103,-0.00010251726816359099,-3.3516129904734975e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0032920895183796792,0.0014600912503152453,-0.00008704984001428692,0.0001979913177199439],[-0.0004367080014648782,-0.0014142559647867224,0.008184600226904398,0.06144706955837293,-0.17134170117162315,0.04139388091778259,-0.0039378473934333835,0.00032075852377444394,-0.00025660340098113436],[-0.00007907082506296325,0.00005499323736179331,-0.0036775677440401755,-0.01646105201961634,-0.011842495392894767,0.011927415286005976,-0.0033723310416948933,0.0003024740170689394,-0.00005010053802554889],[-0.00002341895232131258,0.00027453266479018944,-0.0009586581600464909,-0.0020920445210680116,-0.00026407533983333715,0.0002899359325502209,-0.0002722468885311515,0.00009971814781046163,8.987138424456529e-6],[0.000015401396902435245,-0.00013958552315556424,-0.0003513145905006649,-0.00028673157800944367,-0.0006013443703283894,0.000299661882508851,-0.00004417079070868487,-0.00002047093467067938,0.000013468448923649]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, -0.035924080850755734, 0.00005988088345984391, 0.0005371337786046855, -0.00017158205663830254 ], [ 0.0004938890844981604, -0.00019943419398499822, -0.0020991139991518868, 0.07360726258872655, 0.08508096631706744, -0.030913924042183183, 0.003016503004168481, -0.0008759933898556122, 0.00038920130329243337 ], [ 0.00018726094589923255, 0.0018837574075070093, -0.006809367723117828, -0.03329679708037432, 0.019949715755740564, -0.009000444715686465, 0.0011092597012899402, -0.0002815428972510769, 0.00008097456938982216 ], [ -0.000022216600563094632, 0.0005810430017886914, 0.003973328344449252, 0.0031251432007016458, 0.0019469107130797593, -0.0029877177987684047, 0.0009338424605771971, -0.00013399747681263225, -0.00002896239975379581 ], [ -0.000053904829396909514, -0.0007664671908657987, -0.00023798475059090953, 0.0010220449455656936, -0.0004738732386501028, 0.00010700396025737074, 0.0003862538725056103, -0.00010251726816359099, -0.0000033516129904734975 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0032920895183796792, 0.0014600912503152453, -0.00008704984001428692, 0.0001979913177199439 ], [ -0.0004367080014648782, -0.0014142559647867224, 0.008184600226904398, 0.06144706955837293, -0.17134170117162315, 0.04139388091778259, -0.0039378473934333835, 0.00032075852377444394, -0.00025660340098113436 ], [ -0.00007907082506296325, 0.00005499323736179331, -0.0036775677440401755, -0.01646105201961634, -0.011842495392894767, 0.011927415286005976, -0.0033723310416948933, 0.0003024740170689394, -0.00005010053802554889 ], [ -0.00002341895232131258, 0.00027453266479018944, -0.0009586581600464909, -0.0020920445210680116, -0.00026407533983333715, 0.0002899359325502209, -0.0002722468885311515, 0.00009971814781046163, 0.000008987138424456529 ], [ 0.000015401396902435245, -0.00013958552315556424, -0.0003513145905006649, -0.00028673157800944367, -0.0006013443703283894, 0.000299661882508851, -0.00004417079070868487, -0.00002047093467067938, 0.000013468448923649 ] ]

DTfxbTDNbnD2XPmHse8WKs6

{"aspect_ratio": 9.801582398287543, "major_radius": 1.0, "max_elongation": 6.1827000543486195, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.04534471500643332, 0.09488317464166791, 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": [[0.6913850941051068, 0.6913853243340976, 0.6913915765937989, 0.6914296203710261, 0.6915566409653633, 0.6918663257727632, 0.6924891628692131, 0.693589148252115, 0.6953578525548333, 0.6980066417170381, 0.7017577277776466, 0.7068346283301189, 0.7134525285944592, 0.7218089645878014, 0.7320751772814154, 0.7443884245496957, 0.7588454792648176, 0.7754974874786191, 0.7943463098547555, 0.8153424220861349, 0.8383844057577949, 0.8633200198589293, 0.8899488048225084, 0.918026135527479, 0.9472686071190346, 0.9773606077967685, 1.0079619059240215, 1.0387160549845917, 1.069259399140574, 1.099230444539856, 1.1282793472257375, 1.156077257690592, 1.1823252550068282, 1.2067626003266896, 1.229174040692837, 1.249395899945338, 1.267320704546899, 1.2829001090055794, 1.2961459090557947, 1.307128961908191, 1.3159758730827824, 1.3228633604834275, 1.328010271097856, 1.331667307851599, 1.3341046295145693, 1.3355976244226166, 1.3364113449209911, 1.336784353156999, 1.336913131227795, 1.3369389011825406, 1.3369401948419568], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.120228339013152}

9.801582

1

6.1827

[ [ 0.6913850941051068, 0.6913853243340976, 0.6913915765937989, 0.6914296203710261, 0.6915566409653633, 0.6918663257727632, 0.6924891628692131, 0.693589148252115, 0.6953578525548333, 0.6980066417170381, 0.7017577277776466, 0.7068346283301189, 0.7134525285944592, 0.7218089645878014, 0.7320751772814154, 0.7443884245496957, 0.7588454792648176, 0.7754974874786191, 0.7943463098547555, 0.8153424220861349, 0.8383844057577949, 0.8633200198589293, 0.8899488048225084, 0.918026135527479, 0.9472686071190346, 0.9773606077967685, 1.0079619059240215, 1.0387160549845917, 1.069259399140574, 1.099230444539856, 1.1282793472257375, 1.156077257690592, 1.1823252550068282, 1.2067626003266896, 1.229174040692837, 1.249395899945338, 1.267320704546899, 1.2829001090055794, 1.2961459090557947, 1.307128961908191, 1.3159758730827824, 1.3228633604834275, 1.328010271097856, 1.331667307851599, 1.3341046295145693, 1.3355976244226166, 1.3364113449209911, 1.336784353156999, 1.336913131227795, 1.3369389011825406, 1.3369401948419568 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.04534471500643332, 0.09488317464166791, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.120228

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

DPWu4o2egMM4kyXmCxqJKSi

null

false

null

false

DmdeBbsd9FKuTmm25wwHHpW

DVwhm5x6RKgcGffPExtuWFn

{"qi": 0.0011746005401251408, "vacuum_well": -0.11304664717047617, "aspect_ratio": 9.312360418679557, "max_elongation": 6.790571681850707, "average_triangularity": -0.622043802148154, "axis_magnetic_mirror_ratio": 0.38273395814389977, "edge_magnetic_mirror_ratio": 0.41343640843973917, "aspect_ratio_over_edge_rotational_transform": 13.528758761750966, "flux_compression_in_regions_of_bad_curvature": 1.5612942232799762, "axis_rotational_transform_over_n_field_periods": 0.23038095352996918, "edge_rotational_transform_over_n_field_periods": 0.34416906172530126, "minimum_normalized_magnetic_gradient_scale_length": 4.186841797090737}

9.31236

13.528759

-0.803675

0.382734

0.230381

0.413436

0.344169

1.561294

6.790572

4.186842

0.001175

-0.113047

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.021844794701418934,-0.053438391217469856,-0.00043613704074369885,0.0027268989907176895],[-0.0014914814992330677,-0.004463673197420334,0.054222991707255586,0.00314433688907121,0.07850913495172963,-0.02269233250236526,-0.02026032411428598,0.0009037896336563881,0.0013285595006019039],[0.0005554037106042342,0.013566204442118828,-0.013756088339600205,-0.0021500426705963385,-0.01766859963940845,-0.007759217281060474,-0.00032100593613687296,0.002324388977808836,-0.00004517903142408643],[0.00006952200037659897,0.002631243574253878,-0.00040998878214480077,0.0025754120059653125,0.0002635782425966797,0.0007877496345714888,-0.0013514160086238913,0.0005667935748833669,0.00002061020571772436],[-0.0008886663683715423,-0.0009879692060860007,-0.001826457283326401,-0.0003260660247819923,-0.0002532508635193619,-0.0004525954306531469,-0.00037418346480370837,0.0000335763005260537,-0.00003756179594614198]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,0.08108459142657075,0.025769707439589458,-0.0008524682225367861,-0.0031947594881314156],[0.0008534096868071093,-0.007982466876303027,0.05990889253268031,0.00956187043238418,-0.19626897452348435,0.030394840165163316,0.017535235802419915,-0.0017561365499003051,-0.0012110390000816857],[-0.000597945613746236,0.014720166623628777,-0.03869699414153184,-0.00467229128708742,-0.005135352731618385,0.01377218741937363,0.003263303593354673,-0.0021140879832326565,0.00022650903805539275],[-0.00026633878630130046,0.002541246586879857,-0.003725929498051914,-0.00039478997781733556,-0.00470116132106597,0.00009430431728229218,0.0019841866715750956,-0.0009103648231726493,0.00003911406620787725],[-0.0008547809740194526,-0.0009575577719123816,0.002280285602715302,-0.00007467340190832274,-0.0015193603854818348,-0.00025101422710553244,0.0005122039417194055,-0.00005567834345594091,0.00004428072128338572]],"r_sin":null,"z_cos":null,"n_field_periods":2,"is_stellarator_symmetric":true}

true

2

[ [ 0, 0, 0, 0, 1, -0.021844794701418934, -0.053438391217469856, -0.00043613704074369885, 0.0027268989907176895 ], [ -0.0014914814992330677, -0.004463673197420334, 0.054222991707255586, 0.00314433688907121, 0.07850913495172963, -0.02269233250236526, -0.02026032411428598, 0.0009037896336563881, 0.0013285595006019039 ], [ 0.0005554037106042342, 0.013566204442118828, -0.013756088339600205, -0.0021500426705963385, -0.01766859963940845, -0.007759217281060474, -0.00032100593613687296, 0.002324388977808836, -0.00004517903142408643 ], [ 0.00006952200037659897, 0.002631243574253878, -0.00040998878214480077, 0.0025754120059653125, 0.0002635782425966797, 0.0007877496345714888, -0.0013514160086238913, 0.0005667935748833669, 0.00002061020571772436 ], [ -0.0008886663683715423, -0.0009879692060860007, -0.001826457283326401, -0.0003260660247819923, -0.0002532508635193619, -0.0004525954306531469, -0.00037418346480370837, 0.0000335763005260537, -0.00003756179594614198 ] ]

null

[ [ 0, 0, 0, 0, 0, 0.08108459142657075, 0.025769707439589458, -0.0008524682225367861, -0.0031947594881314156 ], [ 0.0008534096868071093, -0.007982466876303027, 0.05990889253268031, 0.00956187043238418, -0.19626897452348435, 0.030394840165163316, 0.017535235802419915, -0.0017561365499003051, -0.0012110390000816857 ], [ -0.000597945613746236, 0.014720166623628777, -0.03869699414153184, -0.00467229128708742, -0.005135352731618385, 0.01377218741937363, 0.003263303593354673, -0.0021140879832326565, 0.00022650903805539275 ], [ -0.00026633878630130046, 0.002541246586879857, -0.003725929498051914, -0.00039478997781733556, -0.00470116132106597, 0.00009430431728229218, 0.0019841866715750956, -0.0009103648231726493, 0.00003911406620787725 ], [ -0.0008547809740194526, -0.0009575577719123816, 0.002280285602715302, -0.00007467340190832274, -0.0015193603854818348, -0.00025101422710553244, 0.0005122039417194055, -0.00005567834345594091, 0.00004428072128338572 ] ]

DddXD4wnyDayFEjHhJC3sHR

{"aspect_ratio": 10.161100620942245, "major_radius": 1.0, "max_elongation": 6.8585896893048535, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.22312502531993103, -0.030133459289693413, 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": [[0.6324173951700669, 0.6324175339304483, 0.6324218281835456, 0.632450202577311, 0.6325507309750575, 0.6328074206962241, 0.6333436433553877, 0.6343217626274987, 0.6359395770915476, 0.6384242045833417, 0.6420240170094973, 0.6469992034946791, 0.6536115006774391, 0.6621135849589116, 0.6727385743459731, 0.6856900383812109, 0.7011328643195835, 0.7191852767816428, 0.7399122570341863, 0.7633205571804758, 0.7893554541837651, 0.8178993390604289, 0.8487721879972141, 0.8817339147899281, 0.9164885580787311, 0.9526902125766317, 0.9899505710647369, 1.0278479035809105, 1.065937262192469, 1.1037616642729295, 1.1408639745788673, 1.1767991769614634, 1.2111467006091035, 1.2435224437207357, 1.2735901199478366, 1.301071540406478, 1.3257554372699851, 1.3475044348002523, 1.3662597812923059, 1.382043472254241, 1.3949574231608537, 1.405179391944268, 1.4129554107326752, 1.4185885686430546, 1.4224241009585876, 1.4248308981325641, 1.426179773810048, 1.4268191679025874, 1.4270495010965325, 1.4270983760868048, 1.4271010645189866], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.4359397714073616}

10.161101

1

6.85859

[ [ 0.6324173951700669, 0.6324175339304483, 0.6324218281835456, 0.632450202577311, 0.6325507309750575, 0.6328074206962241, 0.6333436433553877, 0.6343217626274987, 0.6359395770915476, 0.6384242045833417, 0.6420240170094973, 0.6469992034946791, 0.6536115006774391, 0.6621135849589116, 0.6727385743459731, 0.6856900383812109, 0.7011328643195835, 0.7191852767816428, 0.7399122570341863, 0.7633205571804758, 0.7893554541837651, 0.8178993390604289, 0.8487721879972141, 0.8817339147899281, 0.9164885580787311, 0.9526902125766317, 0.9899505710647369, 1.0278479035809105, 1.065937262192469, 1.1037616642729295, 1.1408639745788673, 1.1767991769614634, 1.2111467006091035, 1.2435224437207357, 1.2735901199478366, 1.301071540406478, 1.3257554372699851, 1.3475044348002523, 1.3662597812923059, 1.382043472254241, 1.3949574231608537, 1.405179391944268, 1.4129554107326752, 1.4185885686430546, 1.4224241009585876, 1.4248308981325641, 1.426179773810048, 1.4268191679025874, 1.4270495010965325, 1.4270983760868048, 1.4271010645189866 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.22312502531993103, -0.030133459289693413, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.43594

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

DC5GSpwAaN7u2eRyZfNdBLn

null

false

null

false

D2ayVedN8Dh3WLjmAvSt7Ga

D5bCJn5yZ4CxHfN7sNErhmL

{"qi": 0.031521024558389905, "vacuum_well": -0.1302449275796381, "aspect_ratio": 10.214378767716136, "max_elongation": 4.863539111876663, "average_triangularity": -0.17294499361778518, "axis_magnetic_mirror_ratio": 0.2165518989819198, "edge_magnetic_mirror_ratio": 0.2552866967322902, "aspect_ratio_over_edge_rotational_transform": 15.442142987184612, "flux_compression_in_regions_of_bad_curvature": 1.2347920344614627, "axis_rotational_transform_over_n_field_periods": 0.14561550527060857, "edge_rotational_transform_over_n_field_periods": 0.1322922443626253, "minimum_normalized_magnetic_gradient_scale_length": 8.421263031708966}

10.214379

15.442143

-0.290878

0.216552

0.145616

0.255287

0.132292

1.234792

4.863539

8.421263

0.031521

-0.130245

{"r_cos":[[0.0,0.0,0.0,0.0,0.9997521612009931,0.03494473305561505,-0.00020622579891186587,-0.000012450307025476878,5.9643797645208404e-6],[-0.0009765423824787589,-0.0011118899147953079,-0.012780242757260744,-0.05915870799265122,0.09825126586181858,0.0165879450109137,-0.0017094145967849464,-0.0006764906352857794,-0.00010196044222548638],[0.0007093824579923291,0.0007038361521356318,0.0008865055772907758,0.011588699388582252,-0.00925872581726406,0.008993952204770611,-0.000949367776227667,-0.0005909502663663786,0.000019142189304605073],[-0.00028417290308686485,0.0005195225986838756,0.0010491149966255927,-0.001180712096755654,0.003810993801724236,0.00028027408314579494,-0.00042712118453689605,-0.0000727521346603382,-0.00001653245285161421],[-0.0000387631888314797,-0.0000630086346793189,-0.0005574266587356044,0.00014189805792671692,0.0006132796408865517,-9.631219476311653e-6,-0.00028343049163103096,0.00004055674259851238,-0.0000307599201018271]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.020010320353971506,-0.0022137640202796473,0.0022054232645377842,-0.000258445827533784],[-0.0007587831186741337,-0.0010170406318670028,-0.006651611053484538,-0.05372914074421792,-0.147257232402459,0.015123110262939343,0.001306013668331957,0.000016029972301811633,0.00003361123057814535],[0.0005495487296070219,0.0002688555404565835,0.0015032921654228655,0.01898062326083114,-0.038659971829350055,0.0036023021601037453,0.0014711766245940597,0.0005866564552958109,-0.00011292745752107102],[-0.00026303957149693535,-0.00095994157083881,0.0026504316638232585,-0.00017280296130058373,-0.010073118720587615,0.003067801847231772,-0.00014424804445538168,0.0002627317665109496,-0.00006047032639827364],[-0.0001962410940768411,-0.0010722538133060037,-0.00007199362643568313,-0.002566671488510815,-0.001078406778634905,0.0011881366093448495,-5.331520574966665e-6,0.00011319543944073718,-0.000013806189043219267]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9997521612009931, 0.03494473305561505, -0.00020622579891186587, -0.000012450307025476878, 0.0000059643797645208404 ], [ -0.0009765423824787589, -0.0011118899147953079, -0.012780242757260744, -0.05915870799265122, 0.09825126586181858, 0.0165879450109137, -0.0017094145967849464, -0.0006764906352857794, -0.00010196044222548638 ], [ 0.0007093824579923291, 0.0007038361521356318, 0.0008865055772907758, 0.011588699388582252, -0.00925872581726406, 0.008993952204770611, -0.000949367776227667, -0.0005909502663663786, 0.000019142189304605073 ], [ -0.00028417290308686485, 0.0005195225986838756, 0.0010491149966255927, -0.001180712096755654, 0.003810993801724236, 0.00028027408314579494, -0.00042712118453689605, -0.0000727521346603382, -0.00001653245285161421 ], [ -0.0000387631888314797, -0.0000630086346793189, -0.0005574266587356044, 0.00014189805792671692, 0.0006132796408865517, -0.000009631219476311653, -0.00028343049163103096, 0.00004055674259851238, -0.0000307599201018271 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.020010320353971506, -0.0022137640202796473, 0.0022054232645377842, -0.000258445827533784 ], [ -0.0007587831186741337, -0.0010170406318670028, -0.006651611053484538, -0.05372914074421792, -0.147257232402459, 0.015123110262939343, 0.001306013668331957, 0.000016029972301811633, 0.00003361123057814535 ], [ 0.0005495487296070219, 0.0002688555404565835, 0.0015032921654228655, 0.01898062326083114, -0.038659971829350055, 0.0036023021601037453, 0.0014711766245940597, 0.0005866564552958109, -0.00011292745752107102 ], [ -0.00026303957149693535, -0.00095994157083881, 0.0026504316638232585, -0.00017280296130058373, -0.010073118720587615, 0.003067801847231772, -0.00014424804445538168, 0.0002627317665109496, -0.00006047032639827364 ], [ -0.0001962410940768411, -0.0010722538133060037, -0.00007199362643568313, -0.002566671488510815, -0.001078406778634905, 0.0011881366093448495, -0.000005331520574966665, 0.00011319543944073718, -0.000013806189043219267 ] ]

DhyBaKuPpsrYfgY3khKVQ4i

{"aspect_ratio": 11.509334797361472, "major_radius": 1.0, "max_elongation": 4.728610587127802, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.10909429347698085, -0.3865996024755433, 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": [[0.8684442990047356, 0.8684443010057454, 0.8684444029095618, 0.8684453287959224, 0.8684494773951329, 0.8684622476618074, 0.8684934489007688, 0.8685586587527953, 0.8686804255199145, 0.868889235633428, 0.8692241866721402, 0.8697333229735751, 0.8704736054471073, 0.8715105002142908, 0.8729171824921855, 0.8747733629135449, 0.8771637533892777, 0.880176198765861, 0.8838995089856998, 0.8884210342726654, 0.893824033072844, 0.9001848891036622, 0.9075702399139659, 0.9160340848346482, 0.9256149450962782, 0.9363331531899797, 0.9481883522240027, 0.9611572890437261, 0.9751919871874736, 0.9902183872798631, 1.0061355431353278, 1.0228154615505147, 1.0401036723689039, 1.057820612727736, 1.0757639052160304, 1.0937116036791046, 1.1114264721917495, 1.128661351731859, 1.1451656545415432, 1.1606930069519352, 1.1750100359361393, 1.1879062603570802, 1.1992050008686812, 1.2087751562227915, 1.2165435970063012, 1.2225077794423806, 1.2267479388840437, 1.229437787480252, 1.2308517547112205, 1.2313646030195446, 1.2314309593242585], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.8081065634085898}

11.509335

1

4.728611

[ [ 0.8684442990047356, 0.8684443010057454, 0.8684444029095618, 0.8684453287959224, 0.8684494773951329, 0.8684622476618074, 0.8684934489007688, 0.8685586587527953, 0.8686804255199145, 0.868889235633428, 0.8692241866721402, 0.8697333229735751, 0.8704736054471073, 0.8715105002142908, 0.8729171824921855, 0.8747733629135449, 0.8771637533892777, 0.880176198765861, 0.8838995089856998, 0.8884210342726654, 0.893824033072844, 0.9001848891036622, 0.9075702399139659, 0.9160340848346482, 0.9256149450962782, 0.9363331531899797, 0.9481883522240027, 0.9611572890437261, 0.9751919871874736, 0.9902183872798631, 1.0061355431353278, 1.0228154615505147, 1.0401036723689039, 1.057820612727736, 1.0757639052160304, 1.0937116036791046, 1.1114264721917495, 1.128661351731859, 1.1451656545415432, 1.1606930069519352, 1.1750100359361393, 1.1879062603570802, 1.1992050008686812, 1.2087751562227915, 1.2165435970063012, 1.2225077794423806, 1.2267479388840437, 1.229437787480252, 1.2308517547112205, 1.2313646030195446, 1.2314309593242585 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.10909429347698085, -0.3865996024755433, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.808107

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

D3ScJ2jyBK8DsefTERhdjzr

null

false

null

false

DY2dgFqqX2QmyFjEobujpe4

DESRzrH8vQPTsEVrxhVxYRq

{"qi": 0.019473284477664724, "vacuum_well": -0.14138277331414498, "aspect_ratio": 10.253642172938134, "max_elongation": 5.162625726757466, "average_triangularity": -0.07831971956384004, "axis_magnetic_mirror_ratio": 0.1380404977869159, "edge_magnetic_mirror_ratio": 0.21942713939099726, "aspect_ratio_over_edge_rotational_transform": 9.973048898216204, "flux_compression_in_regions_of_bad_curvature": 1.345111499776116, "axis_rotational_transform_over_n_field_periods": 0.23006413155119013, "edge_rotational_transform_over_n_field_periods": 0.20562703096286067, "minimum_normalized_magnetic_gradient_scale_length": 11.209213753002686}

10.253642

9.973049

-0.088596

0.13804

0.230064

0.219427

0.205627

1.345111

5.162626

11.209214

0.019473

-0.141383

{"r_cos":[[0.0,0.0,0.0,0.0,0.9993727632305228,0.015018922715285314,-0.0034315327454895114,0.0003114463355172684,-0.0002865926196731227],[0.0003388542439873274,-0.003087155340632084,-0.005700089026098242,-0.059641584515435386,0.12137278666653133,-0.00595006020564166,-0.0025354566340976058,0.0009472933570358025,0.00017745229722680212],[0.0006323833015378709,0.0036139812084796203,0.004821150479375223,0.010440181719418238,-0.010986401186947114,0.011732324553590677,-0.003077241232109902,0.0002822254924428572,0.00017127154448993493],[-0.0005079227209179831,-0.0011915884345067961,0.0011823110948384593,-0.0035336316420312283,0.004955346624738292,0.00018945943240399727,-0.0005480428603901195,0.0001498712815877325,5.946895240761677e-6],[-0.000017935603294132143,0.0002287678738959633,-0.0009603749652267149,0.00013373126074401077,0.0007350977313980178,-0.0002700044456129722,-0.00001356342577219855,0.00007647971253899602,-0.000013622529333263317]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.061588219387787566,0.0042696428502686885,-0.0008080614507236404,0.0001873909701860781],[0.0004583480102426944,-0.002607163514327676,-0.006973720023302577,-0.07705692278537135,-0.1257387427423863,0.022625433164081464,-0.0014808083302020195,1.062306579465615e-6,0.0000239304488948526],[0.000292708314563346,0.0032839296908647514,0.006904509031159596,0.02187170443069201,-0.024555967032807668,0.00047448230402218593,0.0016597011930202495,-0.0006990090855849183,0.00009266571965844844],[-0.0004337683524252105,-0.00037072065036052385,0.0002592731513133096,0.003949633005131681,-0.011227713019961698,0.0035815807208334463,3.919928066255127e-6,-0.00023830296204338346,0.00010923867485618561],[0.000263016783175928,0.0005063753763146746,0.0008211468269502348,-0.00005305875749663988,-0.002045393466717997,0.001039925289054628,-0.0004887432730912394,0.00008100725350252544,0.000011048927290746162]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 0.9993727632305228, 0.015018922715285314, -0.0034315327454895114, 0.0003114463355172684, -0.0002865926196731227 ], [ 0.0003388542439873274, -0.003087155340632084, -0.005700089026098242, -0.059641584515435386, 0.12137278666653133, -0.00595006020564166, -0.0025354566340976058, 0.0009472933570358025, 0.00017745229722680212 ], [ 0.0006323833015378709, 0.0036139812084796203, 0.004821150479375223, 0.010440181719418238, -0.010986401186947114, 0.011732324553590677, -0.003077241232109902, 0.0002822254924428572, 0.00017127154448993493 ], [ -0.0005079227209179831, -0.0011915884345067961, 0.0011823110948384593, -0.0035336316420312283, 0.004955346624738292, 0.00018945943240399727, -0.0005480428603901195, 0.0001498712815877325, 0.000005946895240761677 ], [ -0.000017935603294132143, 0.0002287678738959633, -0.0009603749652267149, 0.00013373126074401077, 0.0007350977313980178, -0.0002700044456129722, -0.00001356342577219855, 0.00007647971253899602, -0.000013622529333263317 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.061588219387787566, 0.0042696428502686885, -0.0008080614507236404, 0.0001873909701860781 ], [ 0.0004583480102426944, -0.002607163514327676, -0.006973720023302577, -0.07705692278537135, -0.1257387427423863, 0.022625433164081464, -0.0014808083302020195, 0.000001062306579465615, 0.0000239304488948526 ], [ 0.000292708314563346, 0.0032839296908647514, 0.006904509031159596, 0.02187170443069201, -0.024555967032807668, 0.00047448230402218593, 0.0016597011930202495, -0.0006990090855849183, 0.00009266571965844844 ], [ -0.0004337683524252105, -0.00037072065036052385, 0.0002592731513133096, 0.003949633005131681, -0.011227713019961698, 0.0035815807208334463, 0.000003919928066255127, -0.00023830296204338346, 0.00010923867485618561 ], [ 0.000263016783175928, 0.0005063753763146746, 0.0008211468269502348, -0.00005305875749663988, -0.002045393466717997, 0.001039925289054628, -0.0004887432730912394, 0.00008100725350252544, 0.000011048927290746162 ] ]

DgYkfc4JVPdpm388PjRVYz4

{"aspect_ratio": 11.128907678539441, "major_radius": 1.0, "max_elongation": 4.478030968054947, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.0837181645015519, -0.009371468698300932, 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": [[0.8650573853114356, 0.8650573966817044, 0.865057891392813, 0.8650619248834526, 0.8650785066310644, 0.8651259335408089, 0.8652344531749848, 0.8654479648457423, 0.8658246394272735, 0.8664364481930039, 0.8673676653674528, 0.8687124605982817, 0.8705717326867333, 0.8730493585885127, 0.8762480445132103, 0.8802649707553383, 0.8851874200683993, 0.8910885720302172, 0.898023633825774, 0.906026461934373, 0.9151068099912113, 0.9252483161658536, 0.9364073192739795, 0.9485125669869017, 0.9614658523700375, 0.9751435869915651, 0.9893992904086755, 1.004066947368503, 1.0189651559620876, 1.0339019626575623, 1.0486802540413953, 1.063103550662474, 1.0769820260801197, 1.0901385545791331, 1.1024145745986627, 1.1136755423596398, 1.1238157421877766, 1.1327622174519942, 1.1404775898642197, 1.1469615463222744, 1.1522507930290724, 1.1564173082250784, 1.1595647701029579, 1.1618230988967964, 1.1633411369137945, 1.164277605301927, 1.1647906345617505, 1.1650263903422022, 1.1651076534041866, 1.1651237738628906, 1.1651245645847026], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.1322294405353817}

11.128908

1

4.478031

[ [ 0.8650573853114356, 0.8650573966817044, 0.865057891392813, 0.8650619248834526, 0.8650785066310644, 0.8651259335408089, 0.8652344531749848, 0.8654479648457423, 0.8658246394272735, 0.8664364481930039, 0.8673676653674528, 0.8687124605982817, 0.8705717326867333, 0.8730493585885127, 0.8762480445132103, 0.8802649707553383, 0.8851874200683993, 0.8910885720302172, 0.898023633825774, 0.906026461934373, 0.9151068099912113, 0.9252483161658536, 0.9364073192739795, 0.9485125669869017, 0.9614658523700375, 0.9751435869915651, 0.9893992904086755, 1.004066947368503, 1.0189651559620876, 1.0339019626575623, 1.0486802540413953, 1.063103550662474, 1.0769820260801197, 1.0901385545791331, 1.1024145745986627, 1.1136755423596398, 1.1238157421877766, 1.1327622174519942, 1.1404775898642197, 1.1469615463222744, 1.1522507930290724, 1.1564173082250784, 1.1595647701029579, 1.1618230988967964, 1.1633411369137945, 1.164277605301927, 1.1647906345617505, 1.1650263903422022, 1.1651076534041866, 1.1651237738628906, 1.1651245645847026 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.0837181645015519, -0.009371468698300932, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.132229

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

D9NBRWiHExSefXhVM8DMy36

null

false

null

false

DRGL2yNQEjNBDHGZhZh4Q6a

DJjUgfCmKY6Lmd4rsd87T9G

{"qi": 0.05036413205180068, "vacuum_well": -0.24405562055652313, "aspect_ratio": 6.687565535140844, "max_elongation": 2.5040819669635526, "average_triangularity": -0.025183825953966982, "axis_magnetic_mirror_ratio": 0.5976674091077241, "edge_magnetic_mirror_ratio": 0.9206037026401386, "aspect_ratio_over_edge_rotational_transform": 8.387278457799804, "flux_compression_in_regions_of_bad_curvature": 0.9294394112642455, "axis_rotational_transform_over_n_field_periods": 0.17112469059053798, "edge_rotational_transform_over_n_field_periods": 0.15946926214001395, "minimum_normalized_magnetic_gradient_scale_length": 3.3333400641985422}

6.687566

8.387278

-0.200486

0.597667

0.171125

0.920604

0.159469

0.929439

2.504082

3.33334

0.050364

-0.244056

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.20888233514829108,-0.003485252496320073,-0.011227433910820338,0.00020343814856031925],[0.00045204947356056906,0.003965873247561476,0.04367650895172992,-0.08931262880249355,0.11947406969034195,0.017023842119067926,-0.013803316930105553,0.0009245952629473126,0.0005803817411690224],[-0.00009443695065289862,-0.00001565073686606033,-0.020065155116716173,0.010699481316050464,-0.0023452346126937133,-0.0015785101950817884,-0.002724092941393407,-0.0014129600983881357,-0.0007949175877128079],[-0.0005081600929526511,0.0011290629758301887,0.001769786521766857,0.00008965211501447122,0.0035305235618645074,-0.003049570784857651,-0.0005984094029632946,-0.0002146906473284626,0.00020690647725528827],[1.571798722997151e-6,0.0008894921487087002,-0.0019329217925904908,0.0014881621243575168,-0.0002785686200496443,-0.0004228139889891347,-0.00037519794119504494,0.00012417583616978155,0.00003532527803554392]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0438261631650709,0.0078596721734922,0.0021019020330236803,0.001263155539058064],[-0.00014570181997430572,0.013208711538788675,-0.005762045649228784,0.030117573083876414,-0.12336560593374667,-0.026125620040622938,0.0016348657671728822,0.0025808730359151467,0.0000549560539360315],[0.0015362111366641075,-0.008299762019637677,0.0013875578124011153,-0.011259964688009895,0.0009610692795887226,-0.009016824682988344,0.002504721408473439,0.002444478020179036,0.0004641488649963477],[-0.001186085153156532,0.0019222559778856265,0.000990219063137148,0.0026063100962005767,-0.003184596940123929,0.002089597114946869,-0.0002780848058379369,-0.0002262251910719504,-0.00025914890352400735],[0.0003699176069640207,-0.0007057853775687779,0.0004174350396852985,9.000306301664007e-6,-0.0004888323409603596,0.00017817165476396215,0.00016194559944401082,-0.00022454990622147744,5.107562867446083e-7]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true}

true

5

[ [ 0, 0, 0, 0, 1, 0.20888233514829108, -0.003485252496320073, -0.011227433910820338, 0.00020343814856031925 ], [ 0.00045204947356056906, 0.003965873247561476, 0.04367650895172992, -0.08931262880249355, 0.11947406969034195, 0.017023842119067926, -0.013803316930105553, 0.0009245952629473126, 0.0005803817411690224 ], [ -0.00009443695065289862, -0.00001565073686606033, -0.020065155116716173, 0.010699481316050464, -0.0023452346126937133, -0.0015785101950817884, -0.002724092941393407, -0.0014129600983881357, -0.0007949175877128079 ], [ -0.0005081600929526511, 0.0011290629758301887, 0.001769786521766857, 0.00008965211501447122, 0.0035305235618645074, -0.003049570784857651, -0.0005984094029632946, -0.0002146906473284626, 0.00020690647725528827 ], [ 0.000001571798722997151, 0.0008894921487087002, -0.0019329217925904908, 0.0014881621243575168, -0.0002785686200496443, -0.0004228139889891347, -0.00037519794119504494, 0.00012417583616978155, 0.00003532527803554392 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.0438261631650709, 0.0078596721734922, 0.0021019020330236803, 0.001263155539058064 ], [ -0.00014570181997430572, 0.013208711538788675, -0.005762045649228784, 0.030117573083876414, -0.12336560593374667, -0.026125620040622938, 0.0016348657671728822, 0.0025808730359151467, 0.0000549560539360315 ], [ 0.0015362111366641075, -0.008299762019637677, 0.0013875578124011153, -0.011259964688009895, 0.0009610692795887226, -0.009016824682988344, 0.002504721408473439, 0.002444478020179036, 0.0004641488649963477 ], [ -0.001186085153156532, 0.0019222559778856265, 0.000990219063137148, 0.0026063100962005767, -0.003184596940123929, 0.002089597114946869, -0.0002780848058379369, -0.0002262251910719504, -0.00025914890352400735 ], [ 0.0003699176069640207, -0.0007057853775687779, 0.0004174350396852985, 0.000009000306301664007, -0.0004888323409603596, 0.00017817165476396215, 0.00016194559944401082, -0.00022454990622147744, 5.107562867446083e-7 ] ]

DmMMBUnMjGsmRvXoXSSjJfA

{"aspect_ratio": 4.719752717568043, "major_radius": 1.0, "max_elongation": 5.024519149416287, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.251972311355927, 0.2313813185509519, 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": [[0.7497942269019504, 0.7504101971100656, 0.7527982611956442, 0.7572206019764337, 0.763690582383427, 0.7721117243496884, 0.7823266779566354, 0.7941428991284005, 0.8073484064568328, 0.8217223154824974, 0.837042248346044, 0.8530897040661768, 0.8696540112269326, 0.8865352474445587, 0.9035463777144087, 0.9205147850632927, 0.9372833176100066, 0.953710943849392, 0.9696730860608761, 0.9850616864050712, 0.9997850492519105, 1.013767495184248, 1.0269488560499664, 1.0392838358075556, 1.0507412583302136, 1.0613032205301076, 1.0709641669468022, 1.0797299001758858, 1.0876165400969775, 1.0946494437223917, 1.1008620965755767, 1.1062949857826623, 1.1109944644921026, 1.1150116168056896, 1.118401132094825, 1.1212201973802536, 1.1235274163680347, 1.1253817637612427, 1.126841583613545, 1.127963640772581, 1.128802234902952, 1.1294083872198364, 1.1298291109654794, 1.1301067779177034, 1.1302785949868848, 1.13037620749778, 1.1304254495366934, 1.1304462676932432, 1.1304528546509367, 1.130454048591477, 1.1304541015661047], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.147485156827159}

4.719753

1

5.024519

[ [ 0.7497942269019504, 0.7504101971100656, 0.7527982611956442, 0.7572206019764337, 0.763690582383427, 0.7721117243496884, 0.7823266779566354, 0.7941428991284005, 0.8073484064568328, 0.8217223154824974, 0.837042248346044, 0.8530897040661768, 0.8696540112269326, 0.8865352474445587, 0.9035463777144087, 0.9205147850632927, 0.9372833176100066, 0.953710943849392, 0.9696730860608761, 0.9850616864050712, 0.9997850492519105, 1.013767495184248, 1.0269488560499664, 1.0392838358075556, 1.0507412583302136, 1.0613032205301076, 1.0709641669468022, 1.0797299001758858, 1.0876165400969775, 1.0946494437223917, 1.1008620965755767, 1.1062949857826623, 1.1109944644921026, 1.1150116168056896, 1.118401132094825, 1.1212201973802536, 1.1235274163680347, 1.1253817637612427, 1.126841583613545, 1.127963640772581, 1.128802234902952, 1.1294083872198364, 1.1298291109654794, 1.1301067779177034, 1.1302785949868848, 1.13037620749778, 1.1304254495366934, 1.1304462676932432, 1.1304528546509367, 1.130454048591477, 1.1304541015661047 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.251972311355927, 0.2313813185509519, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

1.147485

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

D28ArMKgDAUSEwCrLuyTAs5

null

false

null

false

DSENp8FtnR3Svu5eujinUS6

DNTjKdPKheU6yr8Ktvye7nR

{"qi": 0.03856695259009187, "vacuum_well": -0.10614605198782134, "aspect_ratio": 9.893574336256291, "max_elongation": 4.492715732697756, "average_triangularity": -0.4922830114302786, "axis_magnetic_mirror_ratio": 0.21421136698431997, "edge_magnetic_mirror_ratio": 0.28702481808403013, "aspect_ratio_over_edge_rotational_transform": 32.39023805277779, "flux_compression_in_regions_of_bad_curvature": 1.1723994670449733, "axis_rotational_transform_over_n_field_periods": 0.10120893105317363, "edge_rotational_transform_over_n_field_periods": 0.10181642094484718, "minimum_normalized_magnetic_gradient_scale_length": 6.863810681490889}

9.893574

32.390238

-0.940719

0.214211

0.101209

0.287025

0.101816

1.172399

4.492716

6.863811

0.038567

-0.106146

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.1474283982485043,-0.01505052101848901,-0.004968128502372674,-0.0003547492738821441],[0.0010011360401996658,0.005029393826641441,-0.0012561580083614876,-0.03305928820846723,0.0832918483145702,-0.0047452328598227705,-0.006555720600792177,-0.0016814240501247797,-0.00009367036414627939],[0.00024316456683393594,-0.0015834939298015303,-0.008331498998717837,-0.007512630737139594,-0.013006938629560984,-0.005907199779219006,0.0017347907739211368,0.00001553148870647508,0.00009460861874858687],[0.00004906460928561654,0.00018248748736308682,0.0025420009938879823,0.0028987859597263115,0.0013485554141759082,-0.00021217910996461863,0.0009454313740194313,-0.00029685033052259755,0.00008131005188433756],[0.00004497774739636244,0.00045234655056060585,-0.00009397823629539152,0.000189951347606364,-0.000017241585397432436,-0.0003166065398027164,0.0002064343900741636,-0.00012202321471875956,0.000028715497480225863]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03666349653821975,0.004792298825072435,0.004168817297517825,0.0008665408839107802],[-0.00012134593718274148,0.00405491751595719,0.00965345080169867,-0.06795390598752951,-0.14544986185751246,0.03442904683273584,0.001254668553775616,-0.00029861451898190454,-0.0003734161913307836],[0.0001609645969151098,0.00004393522121000072,0.005124001533394115,0.014276634271627519,-0.016246695515203656,0.008913873746848773,-0.0007785028741929172,-0.0003638320631037691,0.00006435945291003193],[-0.0002445479438455397,-0.00004604720388979644,0.0014749331129873507,0.0018105692491932018,-0.001999427909927042,0.0010443570912727815,-0.0003574356217159586,-0.00006333830098986099,-5.6541922737674206e-6],[0.00012913998599862328,0.00031113382274477753,-0.00026691506897911073,-0.0006644367768918714,0.00030951503838768166,0.00023220506548522722,-0.00021708338840845042,0.00012768469408160743,-0.0000496805103424608]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 1, 0.1474283982485043, -0.01505052101848901, -0.004968128502372674, -0.0003547492738821441 ], [ 0.0010011360401996658, 0.005029393826641441, -0.0012561580083614876, -0.03305928820846723, 0.0832918483145702, -0.0047452328598227705, -0.006555720600792177, -0.0016814240501247797, -0.00009367036414627939 ], [ 0.00024316456683393594, -0.0015834939298015303, -0.008331498998717837, -0.007512630737139594, -0.013006938629560984, -0.005907199779219006, 0.0017347907739211368, 0.00001553148870647508, 0.00009460861874858687 ], [ 0.00004906460928561654, 0.00018248748736308682, 0.0025420009938879823, 0.0028987859597263115, 0.0013485554141759082, -0.00021217910996461863, 0.0009454313740194313, -0.00029685033052259755, 0.00008131005188433756 ], [ 0.00004497774739636244, 0.00045234655056060585, -0.00009397823629539152, 0.000189951347606364, -0.000017241585397432436, -0.0003166065398027164, 0.0002064343900741636, -0.00012202321471875956, 0.000028715497480225863 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03666349653821975, 0.004792298825072435, 0.004168817297517825, 0.0008665408839107802 ], [ -0.00012134593718274148, 0.00405491751595719, 0.00965345080169867, -0.06795390598752951, -0.14544986185751246, 0.03442904683273584, 0.001254668553775616, -0.00029861451898190454, -0.0003734161913307836 ], [ 0.0001609645969151098, 0.00004393522121000072, 0.005124001533394115, 0.014276634271627519, -0.016246695515203656, 0.008913873746848773, -0.0007785028741929172, -0.0003638320631037691, 0.00006435945291003193 ], [ -0.0002445479438455397, -0.00004604720388979644, 0.0014749331129873507, 0.0018105692491932018, -0.001999427909927042, 0.0010443570912727815, -0.0003574356217159586, -0.00006333830098986099, -0.0000056541922737674206 ], [ 0.00012913998599862328, 0.00031113382274477753, -0.00026691506897911073, -0.0006644367768918714, 0.00030951503838768166, 0.00023220506548522722, -0.00021708338840845042, 0.00012768469408160743, -0.0000496805103424608 ] ]

DEZtNZGwXJBYEQFPDtyixnK

{"aspect_ratio": 10.36137318297768, "major_radius": 1.0, "max_elongation": 4.368299913609567, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.3401266895672914, -0.07472549683345103, 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": [[0.914928655831901, 0.9149286590768169, 0.9149287713038181, 0.914929581247133, 0.9149326833952994, 0.9149411983684591, 0.9149602582842395, 0.9149974429193939, 0.9150631576333944, 0.9151709466412685, 0.9153377368111303, 0.9155840082309741, 0.9159338885641615, 0.91641516880745, 0.9170592385431582, 0.9179009391767642, 0.9189783339978908, 0.9203323942133511, 0.9220066003881677, 0.9240464590038346, 0.9264989341104606, 0.9294117943177971, 0.9328328756461313, 0.9368092610483245, 0.9413863777261631, 0.946607013705899, 0.9525102555191699, 0.9591303492683494, 0.9664954878548436, 0.9746265277342294, 0.9835356392587425, 0.9932248955092496, 1.0036848055512897, 1.014892799336354, 1.0268116730993586, 1.0393880062040566, 1.0525505631473586, 1.066208698132587, 1.0802507846944684, 1.0945426999944226, 1.108926403736148, 1.1232186671146047, 1.137210031269265, 1.1506641139039253, 1.1633174502382027, 1.1748801790511367, 1.1850381359007216, 1.1934574867122598, 1.1997945754934252, 1.2037191584522187, 1.20499823383023], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.3160916721442647}

10.361373

1

4.3683

[ [ 0.914928655831901, 0.9149286590768169, 0.9149287713038181, 0.914929581247133, 0.9149326833952994, 0.9149411983684591, 0.9149602582842395, 0.9149974429193939, 0.9150631576333944, 0.9151709466412685, 0.9153377368111303, 0.9155840082309741, 0.9159338885641615, 0.91641516880745, 0.9170592385431582, 0.9179009391767642, 0.9189783339978908, 0.9203323942133511, 0.9220066003881677, 0.9240464590038346, 0.9264989341104606, 0.9294117943177971, 0.9328328756461313, 0.9368092610483245, 0.9413863777261631, 0.946607013705899, 0.9525102555191699, 0.9591303492683494, 0.9664954878548436, 0.9746265277342294, 0.9835356392587425, 0.9932248955092496, 1.0036848055512897, 1.014892799336354, 1.0268116730993586, 1.0393880062040566, 1.0525505631473586, 1.066208698132587, 1.0802507846944684, 1.0945426999944226, 1.108926403736148, 1.1232186671146047, 1.137210031269265, 1.1506641139039253, 1.1633174502382027, 1.1748801790511367, 1.1850381359007216, 1.1934574867122598, 1.1997945754934252, 1.2037191584522187, 1.20499823383023 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.3401266895672914, -0.07472549683345103, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.316092

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

DQbTPu93YrHGvXPc3KjqGQq

null

false

null

false

DeeYBkGjC33xqoYoyHuJa7E

D5FMMr64DvzTrz32z7667bX

{"qi": 0.0025527076514534975, "vacuum_well": -0.09284394782749614, "aspect_ratio": 9.18447773019096, "max_elongation": 6.133521854642067, "average_triangularity": -0.39594806269405347, "axis_magnetic_mirror_ratio": 0.3722516045141373, "edge_magnetic_mirror_ratio": 0.4102933794079537, "aspect_ratio_over_edge_rotational_transform": 44.080787178969196, "flux_compression_in_regions_of_bad_curvature": 1.3692246487917399, "axis_rotational_transform_over_n_field_periods": 0.20828111796569487, "edge_rotational_transform_over_n_field_periods": 0.20835557434357355, "minimum_normalized_magnetic_gradient_scale_length": 3.2990075778496304}

9.184478

44.080787

-0.479385

0.372252

0.208281

0.410293

0.208356

1.369225

6.133522

3.299008

0.002553

-0.092844

{"r_cos":[[0.0,0.0,0.0,0.0,1.0,0.00611199023417722,-0.30099193360349347,-0.005329831658703179,0.024757319337646334],[0.008985667148560611,-0.025297985470615417,0.04191432718604853,-0.004838034443916686,0.09188784898056586,-0.04496556918717573,-0.008835727553772849,0.0033628396401802416,-0.002575494509093878],[-0.0010846003113597793,0.003823988416951304,0.008258186898311188,-0.013972436330079663,-0.013435368012044228,-0.008714805685224002,0.005016143775769815,0.001063951167274093,0.0014347728360547588],[-3.6218701742074142e-6,0.0021338133535383696,0.00044450390175956227,-0.007778526114696778,-0.001614290934092381,0.004414175120290018,0.0023709303918855442,-0.00018186840546576617,-0.0006789357718018057],[0.00021683015111981447,-0.0003674237663180103,0.00009707775823080154,0.0005168751964665801,-0.0008961577917165256,0.00006387840073778051,0.0001522738328632498,0.00016501177990075082,0.000045650184258480366]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.03705123899187802,0.02338642555671913,-0.0041186140802405395,0.0022218854420182985],[0.0060830750714944756,-0.01818420812210035,0.046961260388959994,-0.004934556283381116,-0.16244412628570162,-0.005471742318489309,0.005968746394830863,-0.0005723398582170389,0.005796047432587029],[0.0013873963116884643,0.004294593782767683,-0.007949223268876428,-0.010522719696433577,-0.01024857612758104,0.008139430617130638,0.0021547767703627035,0.000150387613523169,-0.0005661514932901559],[0.0011115681529175418,0.00013348728445309037,-0.005061006835577388,0.0017733307521529463,0.007850957867420048,0.0032503776487587013,-0.002720478452877605,-0.0014546683793773595,-0.00026129388259932474],[0.0000866002317530402,-0.00033686202542994927,0.00013203293309110053,0.0007223521877674959,0.000052170928410332815,-0.000028063960708180644,0.00011008249045684036,0.000139721631817375,-0.000019944354746356684]],"r_sin":null,"z_cos":null,"n_field_periods":1,"is_stellarator_symmetric":true}

true

1

[ [ 0, 0, 0, 0, 1, 0.00611199023417722, -0.30099193360349347, -0.005329831658703179, 0.024757319337646334 ], [ 0.008985667148560611, -0.025297985470615417, 0.04191432718604853, -0.004838034443916686, 0.09188784898056586, -0.04496556918717573, -0.008835727553772849, 0.0033628396401802416, -0.002575494509093878 ], [ -0.0010846003113597793, 0.003823988416951304, 0.008258186898311188, -0.013972436330079663, -0.013435368012044228, -0.008714805685224002, 0.005016143775769815, 0.001063951167274093, 0.0014347728360547588 ], [ -0.0000036218701742074142, 0.0021338133535383696, 0.00044450390175956227, -0.007778526114696778, -0.001614290934092381, 0.004414175120290018, 0.0023709303918855442, -0.00018186840546576617, -0.0006789357718018057 ], [ 0.00021683015111981447, -0.0003674237663180103, 0.00009707775823080154, 0.0005168751964665801, -0.0008961577917165256, 0.00006387840073778051, 0.0001522738328632498, 0.00016501177990075082, 0.000045650184258480366 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.03705123899187802, 0.02338642555671913, -0.0041186140802405395, 0.0022218854420182985 ], [ 0.0060830750714944756, -0.01818420812210035, 0.046961260388959994, -0.004934556283381116, -0.16244412628570162, -0.005471742318489309, 0.005968746394830863, -0.0005723398582170389, 0.005796047432587029 ], [ 0.0013873963116884643, 0.004294593782767683, -0.007949223268876428, -0.010522719696433577, -0.01024857612758104, 0.008139430617130638, 0.0021547767703627035, 0.000150387613523169, -0.0005661514932901559 ], [ 0.0011115681529175418, 0.00013348728445309037, -0.005061006835577388, 0.0017733307521529463, 0.007850957867420048, 0.0032503776487587013, -0.002720478452877605, -0.0014546683793773595, -0.00026129388259932474 ], [ 0.0000866002317530402, -0.00033686202542994927, 0.00013203293309110053, 0.0007223521877674959, 0.000052170928410332815, -0.000028063960708180644, 0.00011008249045684036, 0.000139721631817375, -0.000019944354746356684 ] ]

DFfcFqYgPUecPy3vDScpMBj

{"aspect_ratio": 10.436335163269266, "major_radius": 1.0, "max_elongation": 6.611670214437776, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [-0.2225097046926934, 0.2596913291708457, 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": [[0.6418019305953719, 0.6418020699922615, 0.6418067679733316, 0.6418393013171024, 0.6419578976877547, 0.6422661941997686, 0.6429174041677107, 0.644112785588226, 0.6460953531434364, 0.6491398945038646, 0.6535403644090743, 0.6595956844861863, 0.667594896844491, 0.6778025187402867, 0.6904448325724377, 0.7056977259016379, 0.723676574184607, 0.7444285375260836, 0.7679275243207057, 0.794071961037164, 0.8226854000868584, 0.8535198979522068, 0.8862620045559456, 0.9205411231023317, 0.9559399280553094, 0.9920064681723804, 1.0282675321316233, 1.0642428167416256, 1.0994594124108812, 1.1334661078143713, 1.1658470158142438, 1.1962340358990295, 1.2243176948799885, 1.2498559474500306, 1.2726805715420548, 1.2927008602332544, 1.3099043921792988, 1.324354756102786, 1.336186211491602, 1.3455953870646873, 1.3528302502774925, 1.3581767245280048, 1.3619434848981395, 1.3644456269789662, 1.365988074799518, 1.3668497704734652, 1.3672698658136475, 1.3674373080824453, 1.36748536594585, 1.3674927517788025, 1.3674929935516547], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.2541789975098975}

10.436335

1

6.61167

[ [ 0.6418019305953719, 0.6418020699922615, 0.6418067679733316, 0.6418393013171024, 0.6419578976877547, 0.6422661941997686, 0.6429174041677107, 0.644112785588226, 0.6460953531434364, 0.6491398945038646, 0.6535403644090743, 0.6595956844861863, 0.667594896844491, 0.6778025187402867, 0.6904448325724377, 0.7056977259016379, 0.723676574184607, 0.7444285375260836, 0.7679275243207057, 0.794071961037164, 0.8226854000868584, 0.8535198979522068, 0.8862620045559456, 0.9205411231023317, 0.9559399280553094, 0.9920064681723804, 1.0282675321316233, 1.0642428167416256, 1.0994594124108812, 1.1334661078143713, 1.1658470158142438, 1.1962340358990295, 1.2243176948799885, 1.2498559474500306, 1.2726805715420548, 1.2927008602332544, 1.3099043921792988, 1.324354756102786, 1.336186211491602, 1.3455953870646873, 1.3528302502774925, 1.3581767245280048, 1.3619434848981395, 1.3644456269789662, 1.365988074799518, 1.3668497704734652, 1.3672698658136475, 1.3674373080824453, 1.36748536594585, 1.3674927517788025, 1.3674929935516547 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ -0.2225097046926934, 0.2596913291708457, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.254179

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

Dkwx3orGXoJWpj4RShnKXK4

null

false

null

false

DCZFEb2sVgJ6ZiYcy9KkHRE

DFLuE6iAEgL69Vf8NTddzww

{"qi": 0.02214618917754797, "vacuum_well": -0.1508912675708094, "aspect_ratio": 10.21533910149104, "max_elongation": 4.347080112022359, "average_triangularity": -0.5983792423063408, "axis_magnetic_mirror_ratio": 0.06836642046056382, "edge_magnetic_mirror_ratio": 0.14731737612353552, "aspect_ratio_over_edge_rotational_transform": 13.473516678113931, "flux_compression_in_regions_of_bad_curvature": 1.2968469023944196, "axis_rotational_transform_over_n_field_periods": 0.17451489780026516, "edge_rotational_transform_over_n_field_periods": 0.2527263753910316, "minimum_normalized_magnetic_gradient_scale_length": 6.231138234549782}

10.215339

13.473517

-0.933383

0.068366

0.174515

0.147317

0.252726

1.296847

4.34708

6.231138

0.022146

-0.150891

{"r_cos":[[0.0,0.0,0.0,0.0,0.9990526041531758,-0.014508563426452984,-0.025030869566032152,0.0014735412652114447,0.0006790175837025243],[-0.00032343013798102974,-0.0014544912614778034,0.012047524669474436,-0.04064007833832778,0.10850286564716488,-0.019036891711681096,0.0004305337092165556,-0.0002747714183949859,0.00024198927077205594],[-0.0006257179985920162,-0.00006016704878067093,-0.018736837214063197,-0.0007216715779719586,-0.0034436038018413897,0.006119622537451269,-0.0001976522965382848,-0.00027877164401019324,0.00008709358064944709],[-0.0002950072611648977,0.00019764173523711186,0.004815299757873891,-0.004337324382624922,-0.005842775900226031,0.002335164445356719,0.0009380759403026502,-0.0004656323602788273,0.00004490566319416249],[0.0005270359701854176,0.0004117925806440875,-0.0006667640816000261,0.0008321060043680545,-0.0008548947047443305,-0.00008157679246594603,0.00025487973856867926,-0.0000455097060219446,0.000028355116181479295]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.12197851541364228,0.009954501482406335,0.00044557318141358494,-0.0006532874188803181],[9.974723056322576e-6,-0.004007077508972804,0.007236438558779798,-0.08293630858461534,-0.11976695898595599,0.036813880715013673,-0.002363675720874493,0.0002808646645585751,-0.00042249805102759306],[-0.00029867893131274397,0.0008433169361158491,-0.016903448359157178,-0.006931112839396955,-0.007417144573371587,-0.0011752913420320027,-0.0006850032338042312,0.00030771123137925794,-0.00020908157489174246],[-0.0006491089233654703,0.0006544837496707021,-0.001482656483869251,0.0030736202762905516,0.000012478079482440249,-0.00003114876885375491,-0.0010621634609162113,0.0005099945731796848,-0.00005827050336267204],[0.0003155003068841561,0.0000771899068913598,0.0007694572876227116,0.00006725353927275414,-0.00029061526510925755,0.0005087113619327543,-0.0005342331146898917,0.00013899108931545917,-0.00003057261504335715]],"r_sin":null,"z_cos":null,"n_field_periods":3,"is_stellarator_symmetric":true}

true

3

[ [ 0, 0, 0, 0, 0.9990526041531758, -0.014508563426452984, -0.025030869566032152, 0.0014735412652114447, 0.0006790175837025243 ], [ -0.00032343013798102974, -0.0014544912614778034, 0.012047524669474436, -0.04064007833832778, 0.10850286564716488, -0.019036891711681096, 0.0004305337092165556, -0.0002747714183949859, 0.00024198927077205594 ], [ -0.0006257179985920162, -0.00006016704878067093, -0.018736837214063197, -0.0007216715779719586, -0.0034436038018413897, 0.006119622537451269, -0.0001976522965382848, -0.00027877164401019324, 0.00008709358064944709 ], [ -0.0002950072611648977, 0.00019764173523711186, 0.004815299757873891, -0.004337324382624922, -0.005842775900226031, 0.002335164445356719, 0.0009380759403026502, -0.0004656323602788273, 0.00004490566319416249 ], [ 0.0005270359701854176, 0.0004117925806440875, -0.0006667640816000261, 0.0008321060043680545, -0.0008548947047443305, -0.00008157679246594603, 0.00025487973856867926, -0.0000455097060219446, 0.000028355116181479295 ] ]

null

[ [ 0, 0, 0, 0, 0, -0.12197851541364228, 0.009954501482406335, 0.00044557318141358494, -0.0006532874188803181 ], [ 0.000009974723056322576, -0.004007077508972804, 0.007236438558779798, -0.08293630858461534, -0.11976695898595599, 0.036813880715013673, -0.002363675720874493, 0.0002808646645585751, -0.00042249805102759306 ], [ -0.00029867893131274397, 0.0008433169361158491, -0.016903448359157178, -0.006931112839396955, -0.007417144573371587, -0.0011752913420320027, -0.0006850032338042312, 0.00030771123137925794, -0.00020908157489174246 ], [ -0.0006491089233654703, 0.0006544837496707021, -0.001482656483869251, 0.0030736202762905516, 0.000012478079482440249, -0.00003114876885375491, -0.0010621634609162113, 0.0005099945731796848, -0.00005827050336267204 ], [ 0.0003155003068841561, 0.0000771899068913598, 0.0007694572876227116, 0.00006725353927275414, -0.00029061526510925755, 0.0005087113619327543, -0.0005342331146898917, 0.00013899108931545917, -0.00003057261504335715 ] ]

DV2PS3AbLiReTC5yNfLqPmB

{"aspect_ratio": 10.549589879071393, "major_radius": 1.0, "max_elongation": 4.114685653266122, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.19473214406697217, 0.31487706906168844, 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": [[0.9044113639167511, 0.9044113764286236, 0.9044118253811227, 0.9044150927925834, 0.9044275386702336, 0.9044612384927079, 0.9045352494850379, 0.9046763548473626, 0.9049192850848966, 0.905306442935342, 0.9058871752308303, 0.9067166459033542, 0.9078543713886629, 0.9093624840643669, 0.9113037917635731, 0.9137397022748177, 0.916728081366494, 0.9203211114642471, 0.9245632158100276, 0.929489109849543, 0.9351220378110873, 0.94147224801333, 0.9485357554175362, 0.9562934343537989, 0.9647104782243171, 0.973736256334288, 0.9833045908298286, 0.9933344690326602, 1.0037311982461654, 1.0143880013525681, 1.0251880422039616, 1.0360068598989052, 1.0467151804883412, 1.0571820634127902, 1.0672783279627287, 1.0768801921782105, 1.085873042733772, 1.0941552393195648, 1.1016418405986075, 1.1082681206751952, 1.1139927247029395, 1.1188002891435325, 1.1227033252865923, 1.1257431324399563, 1.1279894672149111, 1.1295386432449055, 1.1305096633961835, 1.1310378773087368, 1.131265471236751, 1.1313277188711368, 1.131332850916122], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 0.5721663419552199}

10.54959

1

4.114686

[ [ 0.9044113639167511, 0.9044113764286236, 0.9044118253811227, 0.9044150927925834, 0.9044275386702336, 0.9044612384927079, 0.9045352494850379, 0.9046763548473626, 0.9049192850848966, 0.905306442935342, 0.9058871752308303, 0.9067166459033542, 0.9078543713886629, 0.9093624840643669, 0.9113037917635731, 0.9137397022748177, 0.916728081366494, 0.9203211114642471, 0.9245632158100276, 0.929489109849543, 0.9351220378110873, 0.94147224801333, 0.9485357554175362, 0.9562934343537989, 0.9647104782243171, 0.973736256334288, 0.9833045908298286, 0.9933344690326602, 1.0037311982461654, 1.0143880013525681, 1.0251880422039616, 1.0360068598989052, 1.0467151804883412, 1.0571820634127902, 1.0672783279627287, 1.0768801921782105, 1.085873042733772, 1.0941552393195648, 1.1016418405986075, 1.1082681206751952, 1.1139927247029395, 1.1188002891435325, 1.1227033252865923, 1.1257431324399563, 1.1279894672149111, 1.1295386432449055, 1.1305096633961835, 1.1310378773087368, 1.131265471236751, 1.1313277188711368, 1.131332850916122 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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 ], [ 0.19473214406697217, 0.31487706906168844, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ] ] ]

0.572166

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

Daejog2AbaiqC8icLKJmg9P

null

false

null

false

DBdw4WGH3pYVAeqsG7qqgyc