{
  "math_check": {
    "2": {
      "g_residual": 5.5923300098214014e-06,
      "h_residual": 7.61654766555005e-08,
      "gradient_fd_abs_error": 2.720104319564598e-07,
      "prox_success": true
    },
    "4": {
      "g_residual": 2.7610737386714938e-06,
      "h_residual": 2.6338514196531363e-08,
      "gradient_fd_abs_error": 3.0219856617108576e-07,
      "prox_success": true
    },
    "critical_interval": {
      "2": 0.43,
      "4": 0.7547842314287575
    }
  },
  "seed": 7,
  "settings": {
    "dimension": 24,
    "steps": 180,
    "eta": 0.18,
    "gamma0": 0.7,
    "K": 8
  },
  "raw": {
    "final_phi": 1.9393945109412727,
    "best_phi": 1.8920250437079786,
    "grad_rms": 1.0892316442899517,
    "spikes_gt10": 0,
    "trajectory": [
      8.077695194646495,
      6.486166350940103,
      5.222338877290135,
      4.172938322305123,
      3.5051362189015065,
      3.035242200196857,
      2.701435092862445,
      2.426980627175186,
      2.302062054813328,
      2.1484576761511542,
      2.1089695029820064,
      2.046474237599418,
      1.9799518415621655,
      1.9627420527443507,
      2.006503133213613,
      1.9268588572739445,
      1.931090123307975,
      1.9551129627953492,
      1.9274431596078931,
      1.9264580526322397,
      1.9647977560649257,
      1.902214654081318,
      1.9234377928864677,
      1.9486919410528367,
      1.9196303960004224,
      1.9229133100700673,
      1.9575433813753453,
      1.8978695033905781,
      1.932468091107723,
      1.9562512814167488,
      1.9141252849615387,
      1.9015741753888753,
      1.9512100636545946,
      1.9054679007934605,
      1.933252660914872,
      1.9400620378123001,
      1.9138028287544757,
      1.9135238804842296,
      1.9760460665781654,
      1.8956919554804035,
      1.9253879766514457,
      1.9503282423549761,
      1.9249496923357554,
      1.9082675992782263,
      1.961215847897654,
      1.8995649287943093,
      1.9261581722458672,
      1.9460874809746498,
      1.9241673672167512,
      1.909549574971882,
      1.9668179922400513,
      1.8925970164485137,
      1.9207673618551102,
      1.955797010730736,
      1.936307320058149,
      1.9043414824631049,
      1.949218680334522,
      1.9020069519340865,
      1.9340589400522985,
      1.9421152848153673,
      1.9123007387509665,
      1.9234286876763098,
      1.9686923770902782,
      1.892326499197931,
      1.9142948317260964,
      1.952741196754748,
      1.933708839747743,
      1.902205168230265,
      1.955932081274579,
      1.9032415956718585,
      1.940423849205987,
      1.9418852648530507,
      1.9161894508866895,
      1.9085003258828241,
      1.9622152671836885,
      1.8989483267698979,
      1.9282146338577717,
      1.9505408085381177,
      1.92417997388978,
      1.905317932877194,
      1.9571983618999866,
      1.9027065918769697,
      1.9428075024161489,
      1.9384600228637605,
      1.9140853831934632,
      1.919951350389506,
      1.9812574475588514,
      1.8931158631544414,
      1.9137185281443376,
      1.9484967311780161,
      1.9259953336756344,
      1.913434500252867,
      1.9506136673304615,
      1.9088814477088518,
      1.9398431194412105,
      1.9494858409457712,
      1.9048932358871447,
      1.9095699945747306,
      1.9686176567883213,
      1.9000312143434248,
      1.924972905514308,
      1.957602032236267,
      1.9245093439152956,
      1.9027110773627038,
      1.9607814569307258,
      1.9153839753188042,
      1.9335609321203826,
      1.9396186341076092,
      1.9038387467312061,
      1.911121523074278,
      1.9764225969674667,
      1.8933431091146729,
      1.9261357258830016,
      1.9514117583340118,
      1.9359379784940558,
      1.904190735928261,
      1.9494522056559986,
      1.9048094578802752,
      1.944009399033996,
      1.9382198062206688,
      1.9111956004534019,
      1.9132190082996565,
      1.9695068746862212,
      1.8969565081756525,
      1.9194192581367064,
      1.9584510300862534,
      1.913848053942524,
      1.908423115214198,
      1.960983027333923,
      1.8992108936628787,
      1.9288822080709507,
      1.9434779382308758,
      1.9291234970144546,
      1.9078724979280588,
      1.9593880315160073,
      1.9041320776027524,
      1.9374466379247968,
      1.9435555729360092,
      1.9117893805865198,
      1.9045879552748715,
      1.9611284820849357,
      1.9075724199563384,
      1.9384699579802869,
      1.942438765096727,
      1.9167882853614617,
      1.914135260053007,
      1.968701044250951,
      1.8920250437079786,
      1.9144654870243418,
      1.9533673419821689,
      1.9309334694373341,
      1.9136764542183806,
      1.9493997131071983,
      1.9027734375425387,
      1.9331385513454251,
      1.938978241983438,
      1.9043104448624475,
      1.9144263651558933,
      1.9781186856468358,
      1.8966506354293156,
      1.9229639332368254,
      1.944566017374514,
      1.920972585299783,
      1.9123193514804915,
      1.9747264244889569,
      1.8983073722012918,
      1.9217894997074294,
      1.9449638958543105,
      1.930586918660922,
      1.9077600376235249,
      1.957273937931737,
      1.8987522184006052,
      1.9368764964835476,
      1.9463077247091525,
      1.9135662538718785,
      1.913018976402969,
      1.973342766596288,
      1.898690443571011,
      1.9232681386135657,
      1.9393945109412727
    ],
    "norms": [
      4.642051850822858,
      3.1106915439746476,
      2.995883075305324,
      2.5531889854235676,
      2.1168165917402404,
      1.951020985023952,
      1.7268478273775945,
      1.4603178801193497,
      1.411820743120299,
      1.155054917712575,
      1.1508892770103116,
      1.269314741374019,
      0.8965606739547827,
      0.7884599515637724,
      1.2210990568443367,
      0.9601317377796068,
      0.7542719948950914,
      1.0756158844495376,
      0.8815672615729808,
      0.8483339280604687,
      1.1657120454866798,
      0.850440948673484,
      0.7531546139992373,
      1.0959350636200522,
      0.882807355954495,
      0.8358970008609731,
      1.1493289980100543,
      0.8090862713451908,
      0.7705800904288517,
      1.1743650591613837,
      0.9098944339955718,
      0.6980640830222413,
      1.0366098352232562,
      0.8096889561256343,
      0.8520627414760324,
      1.1127520287700183,
      0.8161472078884009,
      0.7419917889271203,
      1.1917069848926172,
      0.8952253548136201,
      0.7322804093204518,
      1.1124564298353794,
      0.9419527983948157,
      0.7686789737869487,
      1.1156301813129046,
      0.8383637011784254,
      0.7641855097515837,
      1.1099689883852946,
      0.9034675589907164,
      0.7776622711328763,
      1.1435731938267861,
      0.8444607865657969,
      0.6661371177978257,
      1.1084201430079983,
      1.0269818881812578,
      0.8244604960200955,
      1.0421346828925444,
      0.7870240326687553,
      0.832825181743375,
      1.1210298298836903,
      0.8140350503588295,
      0.8016293763693855,
      1.1982891197147512,
      0.8492024650745974,
      0.6372279488316912,
      1.0825173478496093,
      0.9898530640197999,
      0.7977506792837308,
      1.0564407184301703,
      0.8304965761634151,
      0.8674527661592701,
      1.1423843825936248,
      0.8496183078820482,
      0.7309601873642778,
      1.122415029032179,
      0.8400250990126368,
      0.7693247053141652,
      1.1186407302172996,
      0.9442262262319203,
      0.7709003089675013,
      1.0736158209509463,
      0.8307417399671677,
      0.8752858191684859,
      1.1435455180508818,
      0.8042013903961232,
      0.7614380531015761,
      1.247254792448902,
      0.9041863888333275,
      0.6417813970393579,
      1.0673648625284995,
      0.9298947013908866,
      0.8267682762928794,
      1.0775577981925977,
      0.8270446264705654,
      0.8804773722314927,
      1.18326145403904,
      0.8127579535253845,
      0.6776373333049254,
      1.147635248835022,
      0.8834331564412466,
      0.737343483833529,
      1.1506523576060457,
      0.9644331691677982,
      0.7564980957318824,
      1.0638812044312138,
      0.9241963535685624,
      0.888731212010588,
      1.1185829074783018,
      0.7629667071952528,
      0.6716783202497449,
      1.1817598022784852,
      0.8907829151377484,
      0.7008663929810371,
      1.1213773653885664,
      1.0006835537307412,
      0.8222135734155144,
      1.042309998984908,
      0.7934069648329753,
      0.8981658117431668,
      1.144302409081651,
      0.793860194544388,
      0.725795958276438,
      1.1740369920544194,
      0.8671670302186479,
      0.6862105027275581,
      1.1449726430405733,
      0.9088932162209535,
      0.7190266691506235,
      1.1153405149861495,
      0.833830236225928,
      0.7777810171362735,
      1.1059911381269645,
      0.9212180002888363,
      0.7946485942274376,
      1.1051222489487482,
      0.8367670905870317,
      0.8612952499623413,
      1.1321193418984508,
      0.8423716337157827,
      0.6969371747601064,
      1.0881844211805247,
      0.8661690511186545,
      0.8811587421666705,
      1.1375973780513213,
      0.8543420565649358,
      0.7605738711109492,
      1.1714471841758374,
      0.8475551160907369,
      0.6355941731461092,
      1.0799781472091894,
      0.9801398134467866,
      0.8542736064589765,
      1.073722649015601,
      0.7937444703995652,
      0.8331603972961789,
      1.113651643969815,
      0.7620729407836614,
      0.6852559110543386,
      1.2050200325932892,
      0.9153854145100205,
      0.7149942990555654,
      1.0909914241572503,
      0.8808391801159491,
      0.7721468373152905,
      1.185910205235374,
      0.8922276060265306,
      0.7399151360331847,
      1.0791147367669407,
      0.9410970863445958,
      0.797152092432617,
      1.1008467903509815,
      0.8120081119270561,
      0.817727210378235,
      1.1462219860668443,
      0.8585537166662832,
      0.7260224703514979,
      1.1841273256573979,
      0.884846490737451,
      0.7555342851959624,
      1.0763933567608166
    ]
  },
  "moreau_p2": {
    "final_phi": 2.7906680510022635,
    "best_phi": 1.8815078131467524,
    "grad_rms": 0.8987516884793171,
    "spikes_gt10": 0,
    "trajectory": [
      9.601001633097352,
      8.574967820193132,
      7.700341993176133,
      6.906826209238092,
      6.167114831430071,
      5.499077418179531,
      4.912402606604088,
      4.405858555818001,
      3.973259431335425,
      3.605526775580229,
      3.2945264751460295,
      3.0334127561176745,
      2.8157800892852776,
      2.6352733601396077,
      2.4859327581370927,
      2.362604563293475,
      2.261047954578663,
      2.1778277105520645,
      2.1101312128568805,
      2.055586914683121,
      2.0121269668775548,
      1.9779139395936658,
      1.9513198021901381,
      1.930926167803035,
      1.915522161152922,
      1.904092574473994,
      1.8957984566499948,
      1.8899543438338515,
      1.8860053314018634,
      1.883505776987168,
      1.8821004120388922,
      1.8815080539523867,
      1.8815078131467524,
      1.8819275574295375,
      1.8826343519593856,
      1.8835265931174716,
      1.884527574998548,
      1.8855802557163637,
      1.8866430210399956,
      1.88768627199767,
      1.8886896896442793,
      1.8896400537021898,
      1.890529512211005,
      1.8913542168370947,
      1.892113253370211,
      1.8928078094761038,
      1.893440532282994,
      1.8940150371391036,
      1.8945355361454064,
      1.8950065610704865,
      1.895432760192849,
      1.8958187512050135,
      1.8961712243585727,
      1.896491367067923,
      1.8967858426208373,
      1.897055481566787,
      1.897304327166453,
      1.8975359435836068,
      1.8977535094780407,
      1.897959884235783,
      1.8981576569108014,
      1.8983491843539002,
      1.8985366225153666,
      1.8987219533017987,
      1.898907008376605,
      1.8990934907029473,
      1.8992829942867793,
      1.8994770223865471,
      1.899677004352266,
      1.8998843094844091,
      1.9001028011198944,
      1.900332559660194,
      1.9005716570403248,
      1.9008222971862403,
      1.9010862328347649,
      1.9013649916683941,
      1.9016599996968486,
      1.9019726482831396,
      1.9023043307138399,
      1.9026564622891011,
      1.903030491281261,
      1.9034279045327764,
      1.9038502295784707,
      1.9042990342133588,
      1.9047759239634678,
      1.90528253772872,
      1.9058205418381648,
      1.9063916228305884,
      1.906997479418908,
      1.907639814298505,
      1.9083203267044462,
      1.9090407068931865,
      1.9098026339956053,
      1.9106077789240905,
      1.9114578141691263,
      1.9123544323346784,
      1.9132993750796286,
      1.914294473710174,
      1.9153417019922054,
      1.916443240861946,
      1.9176015537131963,
      1.9188194700012584,
      1.9201002742255877,
      1.9214477970790762,
      1.9228665056367347,
      1.9243615895074826,
      1.9259390390182543,
      1.9276057083778084,
      1.9293693497479059,
      1.931238591896619,
      1.9332228195527992,
      1.9353318892299598,
      1.937575600581885,
      1.9399628404484321,
      1.9425003448056242,
      1.9451910965687,
      1.9480324898221377,
      1.9510144496566362,
      1.9541174718986396,
      1.9573105789407033,
      1.9605517045401728,
      1.9637928578243555,
      1.9669848933002008,
      1.9700812444880282,
      1.9730436946020113,
      1.9758475517647143,
      1.9784837552816794,
      1.9809572632684957,
      1.983282304557873,
      1.9854766345988606,
      1.9875573320634266,
      1.989539147209058,
      1.991434545503638,
      1.9932541568061068,
      1.9950071274323504,
      1.9967013922719627,
      1.9983438993358815,
      1.9999407612478692,
      2.0014975053309785,
      2.0030186483030947,
      2.004511307667499,
      2.0059622371789985,
      2.0075113723617335,
      2.008045754109383,
      2.016863830824171,
      2.006854358505257,
      2.027650584344576,
      2.023837460329462,
      2.0248265523699063,
      2.0297313439591984,
      2.0262492005640915,
      2.02715225065662,
      2.023792215887081,
      1.9770808119625924,
      2.0126512980294065,
      2.06525674551483,
      2.0331542599580663,
      1.9972682692307813,
      2.1427872145385036,
      1.9599658169679617,
      2.144750746556226,
      2.1031122542079257,
      2.114868461999401,
      2.1043704708099664,
      2.132346099167096,
      2.1464847881569584,
      2.1638870598036184,
      2.0443669773786644,
      2.100868219666737,
      2.263730686266821,
      2.229819013222959,
      2.18432819586768,
      2.396520245732822,
      2.2344445445689387,
      2.466307233562153,
      2.307074014954866,
      2.030786756892163,
      2.6359105827250335,
      2.9492971548991376,
      2.7906680510022635
    ],
    "norms": [
      1.8664319183733973,
      1.7037353693174282,
      1.5756449613103323,
      1.4955617164370147,
      1.4655657106947622,
      1.4140051006144414,
      1.3417232472646996,
      1.262368086853213,
      1.1769267200383307,
      1.094427284085583,
      1.0173613303012607,
      0.9435830554099361,
      0.8715904663892854,
      0.8023703830874769,
      0.7375350734779261,
      0.6778374244219509,
      0.623170762925548,
      0.5728999092197885,
      0.5261560723757025,
      0.482146650225717,
      0.4404120371889035,
      0.40086959467219857,
      0.3636528279159172,
      0.3289217728217827,
      0.29676278107453086,
      0.2671717354896783,
      0.24007402580345072,
      0.21535035061482885,
      0.19285722986273823,
      0.17244081721830568,
      0.15394549549573397,
      0.13721897909491568,
      0.12211521881021588,
      0.10849595925308057,
      0.09623147772380031,
      0.08520082698451546,
      0.07529177795968796,
      0.06640058226700621,
      0.05843162875339016,
      0.05129704058966074,
      0.04491624264026818,
      0.03921551846926003,
      0.03412756996007876,
      0.029591088669770175,
      0.02555034591808839,
      0.021954807891393383,
      0.01875878278316753,
      0.01592110978238461,
      0.01340490607418598,
      0.01117740143940132,
      0.009209918685547241,
      0.007478121709012152,
      0.005967401309318949,
      0.00465509070436383,
      0.0035552042234766163,
      0.002670408619585649,
      0.0020702825223940756,
      0.0018361618387739505,
      0.0019578814238245547,
      0.002292405784809865,
      0.002706734848168305,
      0.0031333250862985184,
      0.003544226463014396,
      0.003929043383051958,
      0.004284893266732804,
      0.0046121643212475505,
      0.004912659625128244,
      0.005188742936354435,
      0.005442929891479645,
      0.005677689320497435,
      0.005902709632627473,
      0.006108754240433379,
      0.0062926606711335075,
      0.006468417643051632,
      0.006635934313384041,
      0.0067958693868364435,
      0.00694912837249229,
      0.0070966632282675425,
      0.00723938944708311,
      0.007378152839854454,
      0.007513718161355899,
      0.007646767086249933,
      0.007777899670377824,
      0.007907636546282671,
      0.008036420664922876,
      0.008164618243796813,
      0.008292519103803849,
      0.008420336960912727,
      0.008548210571748165,
      0.008676206946238071,
      0.008804328128975095,
      0.008932523274914266,
      0.009060707834651746,
      0.009188791521509622,
      0.009316716241069986,
      0.009444504218008635,
      0.009572315109546528,
      0.00970050903831986,
      0.009829710520472225,
      0.009960866803308122,
      0.010095294023498297,
      0.010234706794429532,
      0.01038123192504797,
      0.010537414536356624,
      0.010706232655315697,
      0.010891139898696714,
      0.01109614857505655,
      0.011325940650203828,
      0.011585948221256881,
      0.011882284152324863,
      0.012221348154540908,
      0.012608922273496324,
      0.013048651132310494,
      0.013540014140351572,
      0.01407623548432311,
      0.014642923649931704,
      0.015217915367718864,
      0.015769257078095518,
      0.016241420945537183,
      0.01654652946735477,
      0.016633414151101738,
      0.016518339785749597,
      0.016197792720298254,
      0.015669648233742825,
      0.014968837000496551,
      0.014161576039102366,
      0.013326769955595955,
      0.012534117228240282,
      0.011826142741707733,
      0.011214397882169724,
      0.010690048735184712,
      0.010237898397661208,
      0.009844422639914275,
      0.009499168968452779,
      0.009194006014412207,
      0.008922529732851093,
      0.008679744973123802,
      0.008461719578856452,
      0.008266102633115472,
      0.008091774329344392,
      0.007952493570362644,
      0.007840405029443076,
      0.008297759935010855,
      0.015560273436319903,
      0.1151438413011388,
      0.32723553500782504,
      0.34493073128813634,
      0.4560661467967354,
      0.565128172118844,
      0.5885399607361012,
      0.6626686735245354,
      0.7147936047711144,
      1.294919176144911,
      1.1758202263813968,
      1.0736861156302482,
      1.447475540003208,
      1.2978917415953533,
      1.3413044825662104,
      1.4997457647481256,
      1.391964253937802,
      1.5884556734031672,
      1.8062780957378,
      1.6182684717314832,
      1.5691731130929651,
      1.5254314905665793,
      1.8600111004472997,
      1.787014361894071,
      1.4580992284941945,
      1.485502662273777,
      2.1566611334431878,
      2.1362047631716172,
      1.9363721058911165,
      3.00500262159456,
      1.8966128781226375,
      2.542366604309019,
      2.0203325376948498,
      1.2373734171818314,
      3.6885630967813268,
      4.38157926357441,
      2.6214343183845394
    ]
  },
  "moreau_p4": {
    "final_phi": 1.8980709036632426,
    "best_phi": 1.8980709036632426,
    "grad_rms": 0.20048237784347964,
    "spikes_gt10": 0,
    "trajectory": [
      10.133920595230727,
      9.566191454326125,
      9.079479782369264,
      8.656717301713591,
      8.285312179586557,
      7.954999669227733,
      7.657260397745761,
      7.3857919826554355,
      7.136752572632096,
      6.907771049742807,
      6.6968707549380335,
      6.502150294791845,
      6.321847893516122,
      6.154418410898478,
      5.998542463944245,
      5.853093365548839,
      5.717095331237547,
      5.58968978512094,
      5.47011258479491,
      5.35767926524596,
      5.251774941263392,
      5.151846658768093,
      5.05739703881594,
      4.967978675900196,
      4.883189055179276,
      4.8026658914766,
      4.726082853627911,
      4.653145661708161,
      4.58358855053543,
      4.517171090193424,
      4.453675348548714,
      4.392903374893461,
      4.334674979397439,
      4.278825780492128,
      4.225205491550792,
      4.173676418916162,
      4.124112145025664,
      4.076396372685331,
      4.03042190911746,
      3.9860897710135186,
      3.943308394305951,
      3.9019929346401567,
      3.8620646465402877,
      3.8234503310118266,
      3.7860818428228313,
      3.74989564997789,
      3.71483243897214,
      3.680836760315976,
      3.647856709580927,
      3.6158436398574163,
      3.5847519020563183,
      3.55453860994541,
      3.5251634272032772,
      3.496588374108451,
      3.468777651770085,
      3.441697482055681,
      3.4153159615877873,
      3.389602928369805,
      3.3645298397655985,
      3.3400696607015288,
      3.3161967610858945,
      3.2928868215518197,
      3.2701167467273393,
      3.2478645853226467,
      3.2261094564004598,
      3.2048314812626613,
      3.1840117204457554,
      3.163632115370272,
      3.14367543423585,
      3.1241252217950555,
      3.1049657526757173,
      3.0861819879542094,
      3.06775953471118,
      3.049684608327136,
      3.0319439972984776,
      3.0145250303752515,
      2.997415545840469,
      2.980603862767498,
      2.9640787541070024,
      2.9478294214684424,
      2.931845471473317,
      2.9161168935684034,
      2.9006340391972767,
      2.885387602237493,
      2.870368600619208,
      2.855568359048563,
      2.8409784927662365,
      2.8265908922779714,
      2.81239770899991,
      2.7983913417670396,
      2.7845644241583187,
      2.770909812596793,
      2.757420575187643,
      2.744089981261335,
      2.7309114915931687,
      2.717878749274356,
      2.704985571213489,
      2.6922259402508155,
      2.679593997871142,
      2.6670840375044955,
      2.6546904984068815,
      2.64240796011652,
      2.6302311374839724,
      2.618154876277397,
      2.6061741493670016,
      2.594284053495337,
      2.582479806642664,
      2.5707567459989153,
      2.55911032655603,
      2.5475361203363747,
      2.5360298162747252,
      2.5245872207727955,
      2.513204258946459,
      2.501876976586644,
      2.4906015428553983,
      2.4793742537386096,
      2.468191536276545,
      2.4570499535924695,
      2.445946210738316,
      2.4348771613745224,
      2.423839815298906,
      2.412831346836705,
      2.401849104100833,
      2.3908906191279593,
      2.3799536188924213,
      2.3690360371962553,
      2.358136027429914,
      2.3472519761946975,
      2.3363825177746973,
      2.3255265494431505,
      2.3146832475856964,
      2.30385208462108,
      2.2930328466981744,
      2.2822256521467614,
      2.2714309706577587,
      2.2606496431660847,
      2.249882902405368,
      2.239132394097167,
      2.228400198727286,
      2.2176888538465755,
      2.207001376811858,
      2.196341287852586,
      2.1857126333087606,
      2.1751200088337352,
      2.1645685822902814,
      2.154064115988279,
      2.1436129878167574,
      2.1332222107114696,
      2.1228994497722975,
      2.1126530362040485,
      2.1024919771026855,
      2.0924259599509694,
      2.0824653505292616,
      2.072621182796984,
      2.0629051391684845,
      2.0533295195064385,
      2.0439071971013987,
      2.0346515599145434,
      2.0255764354501995,
      2.0166959978141636,
      2.0080246558208783,
      1.9995769214524455,
      1.9913672585555844,
      1.983409912391814,
      1.9757187215242156,
      1.968306914510776,
      1.9611868949446383,
      1.9543700194839038,
      1.9478663745808957,
      1.9416845585718485,
      1.9358314765330367,
      1.930312155756519,
      1.9251295897633902,
      1.920284618388306,
      1.9157758505979932,
      1.9115996353489233,
      1.9077500839896484,
      1.904219145561833,
      1.9009967339826708,
      1.8980709036632426
    ],
    "norms": [
      1.037718386214468,
      0.8801094023990739,
      0.7904253640685508,
      0.7152730185837087,
      0.651270378034732,
      0.5961946909571085,
      0.5484066395356966,
      0.5066673558725527,
      0.4700289727062039,
      0.4377096151009589,
      0.40902061635599235,
      0.38338642674482315,
      0.36036063641988947,
      0.33959588857353995,
      0.3208061671061402,
      0.30374563767502827,
      0.28820045023841434,
      0.27398559082577684,
      0.26094263687677727,
      0.24893705825557078,
      0.23785496881304805,
      0.22759969007725053,
      0.21808853386770635,
      0.2092500647924688,
      0.20102192373785924,
      0.19334916651491343,
      0.18618301564639234,
      0.17947991771870478,
      0.17320081707239487,
      0.16731058044669098,
      0.16177752789241848,
      0.1565730404780041,
      0.151671225531358,
      0.1470486266875967,
      0.14268397008042505,
      0.13855794053854795,
      0.13465298323433067,
      0.13095312725777056,
      0.12744382828078815,
      0.12411182796736246,
      0.12094502815075064,
      0.11793237808409342,
      0.11506377330086204,
      0.11232996481194683,
      0.10972247752626546,
      0.10723353691753522,
      0.10485600307582432,
      0.10258331138181001,
      0.1004094191270805,
      0.09832875747755136,
      0.0963361882409416,
      0.09442696495503132,
      0.09259669786232835,
      0.09084132238003284,
      0.08915707071268189,
      0.08754044628937195,
      0.08598820073850513,
      0.08449731314116465,
      0.08306497132971982,
      0.08168855502149441,
      0.0803656205984453,
      0.07909388736302535,
      0.07787122511786063,
      0.07669564293272828,
      0.07556527897665531,
      0.07447839130594718,
      0.07343334951061285,
      0.07242862713216948,
      0.07146279477523892,
      0.07053451384376852,
      0.06964253084024162,
      0.06878567217296243,
      0.06796283942245812,
      0.06717300502334518,
      0.06641520832272124,
      0.06568855198028384,
      0.06499219867907424,
      0.0643253681189858,
      0.06368733426803866,
      0.06307742284895225,
      0.06249500904074826,
      0.06193951537705982,
      0.06141040982452642,
      0.06090720402611165,
      0.060429451695477955,
      0.059976747149634184,
      0.059548723968014534,
      0.059145053766953885,
      0.058765445079151775,
      0.058409642328279485,
      0.05807742488928657,
      0.05776860622528455,
      0.057483033092104376,
      0.05722058480173148,
      0.05698117253588134,
      0.056764738700922496,
      0.05657125631522874,
      0.05640072841986875,
      0.056253187503281024,
      0.056128694930260487,
      0.05602734036525335,
      0.05594924117951232,
      0.05589454183126919,
      0.05586341320760622,
      0.05585605191624035,
      0.055872679514997234,
      0.05591354166628527,
      0.05597890720351234,
      0.05606906709602229,
      0.05618433329887553,
      0.05632503747362913,
      0.056491529566194465,
      0.05668417622794267,
      0.056903359066409,
      0.05714947271230462,
      0.05742292269000267,
      0.057724123079271064,
      0.058053493956671955,
      0.058411458605749256,
      0.05879844048574479,
      0.05921485994905228,
      0.05966113069778811,
      0.06013765596954812,
      0.060644824441466676,
      0.06118300583980517,
      0.061752546239313824,
      0.06235376303216455,
      0.06298693954016546,
      0.06365231923591486,
      0.06435009952841786,
      0.0650804250562104,
      0.06584338041633461,
      0.06663898224053277,
      0.06746717051117573,
      0.06832779898910678,
      0.0692206246045635,
      0.07014529564155327,
      0.07110133852680435,
      0.072088143018223,
      0.07310494557650209,
      0.07415081069913672,
      0.07522461000105922,
      0.07632499884270409,
      0.07745039033735134,
      0.07859892661767355,
      0.07976844730929032,
      0.08095645524951887,
      0.08216007960491258,
      0.08337603668382293,
      0.08460058891205594,
      0.08582950264169543,
      0.0870580056956142,
      0.08828074581175192,
      0.08949175143873245,
      0.09068439664196404,
      0.09185137219798545,
      0.09298466527134647,
      0.0940755503647003,
      0.09511459448595161,
      0.09609167965732501,
      0.09699604596607493,
      0.09781635828684848,
      0.09854079955092024,
      0.09915719295771555,
      0.09965315478481371,
      0.10001627842980211,
      0.10023434900439877,
      0.10029558621490811,
      0.10018891145024768,
      0.09990423304056872,
      0.09943274166266707,
      0.09876720600196824,
      0.09790225720838329,
      0.09683464958791296,
      0.09556348452756168,
      0.09409038500004306,
      0.09241960922406289,
      0.0905580941775012,
      0.08851542259919865,
      0.08630371070364133
    ]
  }
}