{
  "precision_decimal_digits": 90,
  "q": "32",
  "operator": "Two-variable Laplacian with an additional analytic parameter;epsilon=0",
  "x": 0,
  "t": 0,
  "y_samples": [
    "-1.0",
    "-0.98",
    "-0.96",
    "-0.94",
    "-0.92",
    "-0.9",
    "-0.88",
    "-0.86",
    "-0.84",
    "-0.82",
    "-0.8",
    "-0.78",
    "-0.76",
    "-0.74",
    "-0.72",
    "-0.7",
    "-0.68",
    "-0.66",
    "-0.64",
    "-0.62",
    "-0.6",
    "-0.58",
    "-0.56",
    "-0.54",
    "-0.52",
    "-0.5",
    "-0.48",
    "-0.46",
    "-0.44",
    "-0.42",
    "-0.4",
    "-0.38",
    "-0.36",
    "-0.34",
    "-0.32",
    "-0.3",
    "-0.28",
    "-0.26",
    "-0.24",
    "-0.22",
    "-0.2",
    "-0.18",
    "-0.16",
    "-0.14",
    "-0.12",
    "-0.1",
    "-0.08",
    "-0.06",
    "-0.04",
    "-0.02",
    "0.0",
    "0.02",
    "0.04",
    "0.06",
    "0.08",
    "0.1",
    "0.12",
    "0.14",
    "0.16",
    "0.18",
    "0.2",
    "0.22",
    "0.24",
    "0.26",
    "0.28",
    "0.3",
    "0.32",
    "0.34",
    "0.36",
    "0.38",
    "0.4",
    "0.42",
    "0.44",
    "0.46",
    "0.48",
    "0.5",
    "0.52",
    "0.54",
    "0.56",
    "0.58",
    "0.6",
    "0.62",
    "0.64",
    "0.66",
    "0.68",
    "0.7",
    "0.72",
    "0.74",
    "0.76",
    "0.78",
    "0.8",
    "0.82",
    "0.84",
    "0.86",
    "0.88",
    "0.9",
    "0.92",
    "0.94",
    "0.96",
    "0.98",
    "1.0",
    "1.02",
    "1.04",
    "1.06",
    "1.08",
    "1.1",
    "1.12",
    "1.14",
    "1.16",
    "1.18",
    "1.2",
    "1.22",
    "1.24",
    "1.26",
    "1.28",
    "1.3",
    "1.32",
    "1.34",
    "1.36",
    "1.38",
    "1.4",
    "1.42",
    "1.44",
    "1.46",
    "1.48",
    "1.5",
    "1.52",
    "1.54",
    "1.56",
    "1.58",
    "1.6",
    "1.62",
    "1.64",
    "1.66",
    "1.68",
    "1.7",
    "1.72",
    "1.74",
    "1.76",
    "1.78",
    "1.8",
    "1.82",
    "1.84",
    "1.86",
    "1.88",
    "1.9",
    "1.92",
    "1.94",
    "1.96",
    "1.98",
    "2.0",
    "2.02",
    "2.04",
    "2.06",
    "2.08",
    "2.1",
    "2.12",
    "2.14",
    "2.16",
    "2.18",
    "2.2",
    "2.22",
    "2.24",
    "2.26",
    "2.28",
    "2.3",
    "2.32",
    "2.34",
    "2.36",
    "2.38",
    "2.4",
    "2.42",
    "2.44",
    "2.46",
    "2.48",
    "2.5",
    "2.52",
    "2.54",
    "2.56",
    "2.58",
    "2.6",
    "2.62",
    "2.64",
    "2.66",
    "2.68",
    "2.7",
    "2.72",
    "2.74",
    "2.76",
    "2.78",
    "2.8",
    "2.82",
    "2.84",
    "2.86",
    "2.88",
    "2.9",
    "2.92",
    "2.94",
    "2.96",
    "2.98",
    "3.0",
    "3.02",
    "3.04",
    "3.06",
    "3.08",
    "3.1",
    "3.12",
    "3.14",
    "3.16",
    "3.18",
    "3.2",
    "3.22",
    "3.24",
    "3.26",
    "3.28",
    "3.3",
    "3.32",
    "3.34",
    "3.36",
    "3.38",
    "3.4",
    "3.42",
    "3.44",
    "3.46",
    "3.48",
    "3.5",
    "3.52",
    "3.54",
    "3.56",
    "3.58",
    "3.6",
    "3.62",
    "3.64",
    "3.66",
    "3.68",
    "3.7",
    "3.72",
    "3.74",
    "3.76",
    "3.78",
    "3.8",
    "3.82",
    "3.84",
    "3.86",
    "3.88",
    "3.9",
    "3.92",
    "3.94",
    "3.96",
    "3.98",
    "4.0",
    "4.02",
    "4.04",
    "4.06",
    "4.08",
    "4.1",
    "4.12",
    "4.14",
    "4.16",
    "4.18",
    "4.2",
    "4.22",
    "4.24",
    "4.26",
    "4.28",
    "4.3",
    "4.32",
    "4.34",
    "4.36",
    "4.38",
    "4.4",
    "4.42",
    "4.44",
    "4.46",
    "4.48",
    "4.5",
    "4.52",
    "4.54",
    "4.56",
    "4.58",
    "4.6",
    "4.62",
    "4.64",
    "4.66",
    "4.68",
    "4.7",
    "4.72",
    "4.74",
    "4.76",
    "4.78",
    "4.8",
    "4.82",
    "4.84",
    "4.86",
    "4.88",
    "4.9",
    "4.92",
    "4.94",
    "4.96",
    "4.98",
    "5.0"
  ],
  "curves": [
    {
      "h": 1,
      "forcing_rate": [
        "-5.0",
        "-4.9204",
        "-4.8416",
        "-4.7636",
        "-4.6864",
        "-4.61",
        "-4.5344",
        "-4.4596",
        "-4.3856",
        "-4.3124",
        "-4.24",
        "-4.1684",
        "-4.0976",
        "-4.0276",
        "-3.9584",
        "-3.89",
        "-3.8224",
        "-3.7556",
        "-3.6896",
        "-3.6244",
        "-3.56",
        "-3.4964",
        "-3.4336",
        "-3.3716",
        "-3.3104",
        "-3.25",
        "-3.1904",
        "-3.1316",
        "-3.0736",
        "-3.0164",
        "-2.96",
        "-2.9044",
        "-2.8496",
        "-2.7956",
        "-2.7424",
        "-2.69",
        "-2.6384",
        "-2.5876",
        "-2.5376",
        "-2.4884",
        "-2.44",
        "-2.3924",
        "-2.3456",
        "-2.2996",
        "-2.2544",
        "-2.21",
        "-2.1664",
        "-2.1236",
        "-2.0816",
        "-2.0404",
        "-2.0",
        "-1.9604",
        "-1.9216",
        "-1.8836",
        "-1.8464",
        "-1.81",
        "-1.7744",
        "-1.7396",
        "-1.7056",
        "-1.6724",
        "-1.64",
        "-1.6084",
        "-1.5776",
        "-1.5476",
        "-1.5184",
        "-1.49",
        "-1.4624",
        "-1.4356",
        "-1.4096",
        "-1.3844",
        "-1.36",
        "-1.3364",
        "-1.3136",
        "-1.2916",
        "-1.2704",
        "-1.25",
        "-1.2304",
        "-1.2116",
        "-1.1936",
        "-1.1764",
        "-1.16",
        "-1.1444",
        "-1.1296",
        "-1.1156",
        "-1.1024",
        "-1.09",
        "-1.0784",
        "-1.0676",
        "-1.0576",
        "-1.0484",
        "-1.04",
        "-1.0324",
        "-1.0256",
        "-1.0196",
        "-1.0144",
        "-1.01",
        "-1.0064",
        "-1.0036",
        "-1.0016",
        "-1.0004",
        "-1.0",
        "-1.0004",
        "-1.0016",
        "-1.0036",
        "-1.0064",
        "-1.01",
        "-1.0144",
        "-1.0196",
        "-1.0256",
        "-1.0324",
        "-1.04",
        "-1.0484",
        "-1.0576",
        "-1.0676",
        "-1.0784",
        "-1.09",
        "-1.1024",
        "-1.1156",
        "-1.1296",
        "-1.1444",
        "-1.16",
        "-1.1764",
        "-1.1936",
        "-1.2116",
        "-1.2304",
        "-1.25",
        "-1.2704",
        "-1.2916",
        "-1.3136",
        "-1.3364",
        "-1.36",
        "-1.3844",
        "-1.4096",
        "-1.4356",
        "-1.4624",
        "-1.49",
        "-1.5184",
        "-1.5476",
        "-1.5776",
        "-1.6084",
        "-1.64",
        "-1.6724",
        "-1.7056",
        "-1.7396",
        "-1.7744",
        "-1.81",
        "-1.8464",
        "-1.8836",
        "-1.9216",
        "-1.9604",
        "-2.0",
        "-2.0404",
        "-2.0816",
        "-2.1236",
        "-2.1664",
        "-2.21",
        "-2.2544",
        "-2.2996",
        "-2.3456",
        "-2.3924",
        "-2.44",
        "-2.4884",
        "-2.5376",
        "-2.5876",
        "-2.6384",
        "-2.69",
        "-2.7424",
        "-2.7956",
        "-2.8496",
        "-2.9044",
        "-2.96",
        "-3.0164",
        "-3.0736",
        "-3.1316",
        "-3.1904",
        "-3.25",
        "-3.3104",
        "-3.3716",
        "-3.4336",
        "-3.4964",
        "-3.56",
        "-3.6244",
        "-3.6896",
        "-3.7556",
        "-3.8224",
        "-3.89",
        "-3.9584",
        "-4.0276",
        "-4.0976",
        "-4.1684",
        "-4.24",
        "-4.3124",
        "-4.3856",
        "-4.4596",
        "-4.5344",
        "-4.61",
        "-4.6864",
        "-4.7636",
        "-4.8416",
        "-4.9204",
        "-5.0",
        "-5.0804",
        "-5.1616",
        "-5.2436",
        "-5.3264",
        "-5.41",
        "-5.4944",
        "-5.5796",
        "-5.6656",
        "-5.7524",
        "-5.84",
        "-5.9284",
        "-6.0176",
        "-6.1076",
        "-6.1984",
        "-6.29",
        "-6.3824",
        "-6.4756",
        "-6.5696",
        "-6.6644",
        "-6.76",
        "-6.8564",
        "-6.9536",
        "-7.0516",
        "-7.1504",
        "-7.25",
        "-7.3504",
        "-7.4516",
        "-7.5536",
        "-7.6564",
        "-7.76",
        "-7.8644",
        "-7.9696",
        "-8.0756",
        "-8.1824",
        "-8.29",
        "-8.3984",
        "-8.5076",
        "-8.6176",
        "-8.7284",
        "-8.84",
        "-8.9524",
        "-9.0656",
        "-9.1796",
        "-9.2944",
        "-9.41",
        "-9.5264",
        "-9.6436",
        "-9.7616",
        "-9.8804",
        "-10.0",
        "-10.1204",
        "-10.2416",
        "-10.3636",
        "-10.4864",
        "-10.61",
        "-10.7344",
        "-10.8596",
        "-10.9856",
        "-11.1124",
        "-11.24",
        "-11.3684",
        "-11.4976",
        "-11.6276",
        "-11.7584",
        "-11.89",
        "-12.0224",
        "-12.1556",
        "-12.2896",
        "-12.4244",
        "-12.56",
        "-12.6964",
        "-12.8336",
        "-12.9716",
        "-13.1104",
        "-13.25",
        "-13.3904",
        "-13.5316",
        "-13.6736",
        "-13.8164",
        "-13.96",
        "-14.1044",
        "-14.2496",
        "-14.3956",
        "-14.5424",
        "-14.69",
        "-14.8384",
        "-14.9876",
        "-15.1376",
        "-15.2884",
        "-15.44",
        "-15.5924",
        "-15.7456",
        "-15.8996",
        "-16.0544",
        "-16.21",
        "-16.3664",
        "-16.5236",
        "-16.6816",
        "-16.8404",
        "-17.0"
      ],
      "particular_rate": [
        "-2.9162308153698385950929612298974366305866078914935076867904636112147231160928979",
        "-2.8962308153698385950929612298974367602642699046729474672370978486964937758523888",
        "-2.8762308153698385950929612298974376260656007058697055530805082105934691594110496",
        "-2.8562308153698385950929612298974432611627104948038840453782622899840210816545632",
        "-2.8362308153698385950929612298974790143840197232206383313174216627981375769791777",
        "-2.8162308153698385950929612298977001507229200268237326620389513036978395911822479",
        "-2.7962308153698385950929612298990334780437333566582093037078436019968524495585316",
        "-2.7762308153698385950929612299068704038745398637523179357095084187363660498922925",
        "-2.756230815369838595092961229951774666813842644603186652345566535748324451922364",
        "-2.7362308153698385950929612302025950799436374705871019286365122534211067734224277",
        "-2.7162308153698385950929612315683483915360213695070525957201121183548139821483847",
        "-2.6962308153698385950929612388179867197289349112917138829042536359048773106142251",
        "-2.6762308153698385950929612763321916413466244199726024537636835658365919304514598",
        "-2.6562308153698385950929614655714005146395788362299578246615669725884061474495118",
        "-2.6362308153698385950929623961715801516722248282429451001664624909320759602770406",
        "-2.6162308153698385950929668573792959264597891603863826560020500315571464597674682",
        "-2.5962308153698385950929877061162597752239461800741410523898607754008652933110559",
        "-2.5762308153698385950930826890878338784256237251187338560898650875943522333162774",
        "-2.5562308153698385950935045324035175909923006681855842860868490413490760603713509",
        "-2.5362308153698385950953309359639107421861255436366385804648464528579713242938815",
        "-2.5162308153698385951030396729148486880084031588957798340748193913237756728785657",
        "-2.4962308153698385951347580813756492679671061149740164716145926784892954963946153",
        "-2.4762308153698385952619858819977534253144904637862900821319885070005344086965661",
        "-2.4562308153698385957594891440293699633186990656122110615037552394623658835265644",
        "-2.4362308153698385976559939907071395397704566694653639975819751289653233622435252",
        "-2.4162308153698386047038487149263738355182358713676759511941015990504189935096382",
        "-2.396230815369838630237079180629149952199130564262207958533351315228793891030505",
        "-2.3762308153698387204152283704844403177446842609655569701456013388353490430302415",
        "-2.356230815369839030903013706043616406158004233845705921809206256720276906936237",
        "-2.3362308153698400730676076270055231897331143130331314918356572579914202597066055",
        "-2.3162308153698434832504993341403216071682488878123942050949633150432460332480432",
        "-2.2962308153698543617647553103754317569157797124482265915278410944548736092365163",
        "-2.2762308153698881926279732420634118756186871242506366387470235475782936252949956",
        "-2.2562308153699907599945619166046008825218264006432503913844281973217581896682043",
        "-2.2362308153702939110221598909062514021765349877239717543486407521121457677575268",
        "-2.2162308153711674126344183555724550906391382492972370646503695992326697920641611",
        "-2.1962308153736211289432428952921809114020188991823450611929365701774376377242357",
        "-2.1762308153803407091205915560542978379708444036986370474020632996036881403525127",
        "-2.1562308153982805381036613175146755101726028454023606494674379520652909012395729",
        "-2.1362308154449737853341751561722686055899955708614661081680443912335360972765853",
        "-2.1162308155634553466744327013754481208509957170274016397834946065669606901148127",
        "-2.0962308158565512209749498801157593033256164182862610330348790239979576859031021",
        "-2.076230816563409362143776853143053252691182488395102819249705268488178799082822",
        "-2.0562308182253666967897438852402114236294138001607152332741076157168217022596088",
        "-2.0362308220349195355706849409362216072813195666918411426313681435483248744114664",
        "-2.0162308305481854413986042161209355097540212244483361592561767869773847826652717",
        "-1.9962308490958008329429332424835387382979971995511099741870939120786028482465205",
        "-1.976230888491733175711644148738498941227355453642982763758257382238988219028713",
        "-1.956230970072541026264750203212923845097002536570833539929740836522605562482337",
        "-1.9362311347750084293291181062960957490825077777180568023081525952948376778834246",
        "-1.9162314589580603711502284277034567567597905090403787101271410924128652254548061",
        "-1.8962320810605795016228032883906020689005404379215298498284143155082648951122906",
        "-1.8762332449712601754455266757920470675059253611310819889917420315779870272646121",
        "-1.8562353680689872868241516795493263923519607678155848443008726687464295512161283",
        "-1.8362391439887309589578032064009219496256988337023015459171401051072975873761243",
        "-1.816245691748192270233371512926952075787320264526048151050344558301161882047581",
        "-1.7962567631359780596646454130307767832057426460692813253033487564970949621126913",
        "-1.7762750182176520660761096392167293866230911613593361274499941607377689372677168",
        "-1.756304373481738269204181550700073558132556553650219782242708349532560911964485",
        "-1.7363504179292097362788603353137455216131190041403117133268261932398437698023641",
        "-1.7164208795702192908552599669353053008414240884865141856890371915083942309343517",
        "-1.6965261098666308284997451840587080482610133425812597268988188000747268687569777",
        "-1.6766795395693660787715921781053437406642172505400040752277843197943562818138435",
        "-1.6568980500216597570051970147794741638466929252839113946245267765306918681240255",
        "-1.637202203119177381486577172076011458711555353035490244443190633738290632209592",
        "-1.6176162830192585190612898212491424631466712930198683764173562928230216662870093",
        "-1.5981681229406967850712070477291567253893958460907608727349183376294697611017487",
        "-1.5788887174772925027741080411101574058064158289175209008168552181682773129999682",
        "-1.5598116490043087697256023088516596398637187602465910918333928650404434324590553",
        "-1.540972379788467948269761443432929474322514452573181516362676453106743433663673",
        "-1.5224074746841413552183860963770514404025288873573912546759635981359207598764471",
        "-1.5041538210641723565349557512461642597951658688848403701270108695483119067490339",
        "-1.4862479041864611977475456409898087745072156804929525698112307861828566017639795",
        "-1.4687251809629660628324762648137292529133641911226333304400246269818401151182549",
        "-1.4516195772336315556053358887498118336475416545160884548772342068351968523733633",
        "-1.4349631167835002994705728800860440949416551514267175086367101442938617933375665",
        "-1.418785676853201732440592119477951267593940060272235905426697242751586116236107",
        "-1.4031148557696162633497773657309312531560480413419783266602708220683698804713899",
        "-1.3879759334435047719122756489586993757776759335904564879915133776421959761048837",
        "-1.3733919040571895809134707448329976530993162921901718527056417169775043160649103",
        "-1.3593835612615287527691398943501480841742753491610640669562586498111974425201007",
        "-1.3459696186239636895861259795277215168506645694589534848495013609890048351385833",
        "-1.3331668511212382543731446170197579411718403298913027703128976245511251866005165",
        "-1.3209902465955734848337327309107728669512037255970159722001263780337867547144593",
        "-1.3094531589561050619784027197654108635977662242970961582327893213816945925382648",
        "-1.2985674573434790850022800787352320399827731040193544844572666565160842890716004",
        "-1.2883436674363991762701145886135058369294153614092107347393059670809803483743545",
        "-1.2787911025864408793253697992297527510942141401099174656503980494847929305007899",
        "-1.2699179835790473722117101380803154866648590477473560859696952433898266990545927",
        "-1.2617315466045578733881071171509973081891664402233674856744627536509692776720989",
        "-1.2542381395529521728116388057671090812852121310686062067949489099711762303164613",
        "-1.2474433070816309955688588884564064309983703110308072835172130018916655537057628",
        "-1.2413518650985477474863334089530792049083505204514803715775803002634957703022416",
        "-1.2359679653943136261323013565309488624627908339153265424277360270626333517368259",
        "-1.231295151177867722423101848193637035360389796223386881412113707070703536903921",
        "-1.2273364042442040195624410861612262202770926030881317415334655803585267275253403",
        "-1.2240941844462545788538671214399099966584749936079189621969242023868469902165783",
        "-1.2215704620680878546106891299418067432453287766580427657990845637019704857569398",
        "-1.2197667436110443527017732210075471071616902456250771837940095225264765872059557",
        "-1.2186840914134554556749145617029983129710359677715326372565171225976356600966817",
        "-1.2183231374313181425443202368572640771824331655589365158738412769311252604152268",
        "-1.2186840914134554556749145617029983129710359677715326372565171225976356600966817",
        "-1.2197667436110443527017732210075471071616902456250771837940095225264765872059557",
        "-1.2215704620680878546106891299418067432453287766580427657990845637019704857569398",
        "-1.2240941844462545788538671214399099966584749936079189621969242023868469902165783",
        "-1.2273364042442040195624410861612262202770926030881317415334655803585267275253403",
        "-1.231295151177867722423101848193637035360389796223386881412113707070703536903921",
        "-1.2359679653943136261323013565309488624627908339153265424277360270626333517368259",
        "-1.2413518650985477474863334089530792049083505204514803715775803002634957703022416",
        "-1.2474433070816309955688588884564064309983703110308072835172130018916655537057628",
        "-1.2542381395529521728116388057671090812852121310686062067949489099711762303164613",
        "-1.2617315466045578733881071171509973081891664402233674856744627536509692776720989",
        "-1.2699179835790473722117101380803154866648590477473560859696952433898266990545927",
        "-1.2787911025864408793253697992297527510942141401099174656503980494847929305007899",
        "-1.2883436674363991762701145886135058369294153614092107347393059670809803483743545",
        "-1.2985674573434790850022800787352320399827731040193544844572666565160842890716004",
        "-1.3094531589561050619784027197654108635977662242970961582327893213816945925382648",
        "-1.3209902465955734848337327309107728669512037255970159722001263780337867547144593",
        "-1.3331668511212382543731446170197579411718403298913027703128976245511251866005165",
        "-1.3459696186239636895861259795277215168506645694589534848495013609890048351385833",
        "-1.3593835612615287527691398943501480841742753491610640669562586498111974425201007",
        "-1.3733919040571895809134707448329976530993162921901718527056417169775043160649103",
        "-1.3879759334435047719122756489586993757776759335904564879915133776421959761048837",
        "-1.4031148557696162633497773657309312531560480413419783266602708220683698804713899",
        "-1.418785676853201732440592119477951267593940060272235905426697242751586116236107",
        "-1.4349631167835002994705728800860440949416551514267175086367101442938617933375665",
        "-1.4516195772336315556053358887498118336475416545160884548772342068351968523733633",
        "-1.4687251809629660628324762648137292529133641911226333304400246269818401151182549",
        "-1.4862479041864611977475456409898087745072156804929525698112307861828566017639795",
        "-1.5041538210641723565349557512461642597951658688848403701270108695483119067490339",
        "-1.5224074746841413552183860963770514404025288873573912546759635981359207598764471",
        "-1.540972379788467948269761443432929474322514452573181516362676453106743433663673",
        "-1.5598116490043087697256023088516596398637187602465910918333928650404434324590553",
        "-1.5788887174772925027741080411101574058064158289175209008168552181682773129999682",
        "-1.5981681229406967850712070477291567253893958460907608727349183376294697611017487",
        "-1.6176162830192585190612898212491424631466712930198683764173562928230216662870093",
        "-1.637202203119177381486577172076011458711555353035490244443190633738290632209592",
        "-1.6568980500216597570051970147794741638466929252839113946245267765306918681240255",
        "-1.6766795395693660787715921781053437406642172505400040752277843197943562818138435",
        "-1.6965261098666308284997451840587080482610133425812597268988188000747268687569777",
        "-1.7164208795702192908552599669353053008414240884865141856890371915083942309343517",
        "-1.7363504179292097362788603353137455216131190041403117133268261932398437698023641",
        "-1.756304373481738269204181550700073558132556553650219782242708349532560911964485",
        "-1.7762750182176520660761096392167293866230911613593361274499941607377689372677168",
        "-1.7962567631359780596646454130307767832057426460692813253033487564970949621126913",
        "-1.816245691748192270233371512926952075787320264526048151050344558301161882047581",
        "-1.8362391439887309589578032064009219496256988337023015459171401051072975873761243",
        "-1.8562353680689872868241516795493263923519607678155848443008726687464295512161283",
        "-1.8762332449712601754455266757920470675059253611310819889917420315779870272646121",
        "-1.8962320810605795016228032883906020689005404379215298498284143155082648951122906",
        "-1.9162314589580603711502284277034567567597905090403787101271410924128652254548061",
        "-1.9362311347750084293291181062960957490825077777180568023081525952948376778834246",
        "-1.956230970072541026264750203212923845097002536570833539929740836522605562482337",
        "-1.976230888491733175711644148738498941227355453642982763758257382238988219028713",
        "-1.9962308490958008329429332424835387382979971995511099741870939120786028482465205",
        "-2.0162308305481854413986042161209355097540212244483361592561767869773847826652717",
        "-2.0362308220349195355706849409362216072813195666918411426313681435483248744114664",
        "-2.0562308182253666967897438852402114236294138001607152332741076157168217022596088",
        "-2.076230816563409362143776853143053252691182488395102819249705268488178799082822",
        "-2.0962308158565512209749498801157593033256164182862610330348790239979576859031021",
        "-2.1162308155634553466744327013754481208509957170274016397834946065669606901148127",
        "-2.1362308154449737853341751561722686055899955708614661081680443912335360972765853",
        "-2.1562308153982805381036613175146755101726028454023606494674379520652909012395729",
        "-2.1762308153803407091205915560542978379708444036986370474020632996036881403525127",
        "-2.1962308153736211289432428952921809114020188991823450611929365701774376377242357",
        "-2.2162308153711674126344183555724550906391382492972370646503695992326697920641611",
        "-2.2362308153702939110221598909062514021765349877239717543486407521121457677575268",
        "-2.2562308153699907599945619166046008825218264006432503913844281973217581896682043",
        "-2.2762308153698881926279732420634118756186871242506366387470235475782936252949956",
        "-2.2962308153698543617647553103754317569157797124482265915278410944548736092365163",
        "-2.3162308153698434832504993341403216071682488878123942050949633150432460332480432",
        "-2.3362308153698400730676076270055231897331143130331314918356572579914202597066055",
        "-2.356230815369839030903013706043616406158004233845705921809206256720276906936237",
        "-2.3762308153698387204152283704844403177446842609655569701456013388353490430302415",
        "-2.396230815369838630237079180629149952199130564262207958533351315228793891030505",
        "-2.4162308153698386047038487149263738355182358713676759511941015990504189935096382",
        "-2.4362308153698385976559939907071395397704566694653639975819751289653233622435252",
        "-2.4562308153698385957594891440293699633186990656122110615037552394623658835265644",
        "-2.4762308153698385952619858819977534253144904637862900821319885070005344086965661",
        "-2.4962308153698385951347580813756492679671061149740164716145926784892954963946153",
        "-2.5162308153698385951030396729148486880084031588957798340748193913237756728785657",
        "-2.5362308153698385950953309359639107421861255436366385804648464528579713242938815",
        "-2.5562308153698385950935045324035175909923006681855842860868490413490760603713509",
        "-2.5762308153698385950930826890878338784256237251187338560898650875943522333162774",
        "-2.5962308153698385950929877061162597752239461800741410523898607754008652933110559",
        "-2.6162308153698385950929668573792959264597891603863826560020500315571464597674682",
        "-2.6362308153698385950929623961715801516722248282429451001664624909320759602770406",
        "-2.6562308153698385950929614655714005146395788362299578246615669725884061474495118",
        "-2.6762308153698385950929612763321916413466244199726024537636835658365919304514598",
        "-2.6962308153698385950929612388179867197289349112917138829042536359048773106142251",
        "-2.7162308153698385950929612315683483915360213695070525957201121183548139821483847",
        "-2.7362308153698385950929612302025950799436374705871019286365122534211067734224277",
        "-2.756230815369838595092961229951774666813842644603186652345566535748324451922364",
        "-2.7762308153698385950929612299068704038745398637523179357095084187363660498922925",
        "-2.7962308153698385950929612298990334780437333566582093037078436019968524495585316",
        "-2.8162308153698385950929612298977001507229200268237326620389513036978395911822479",
        "-2.8362308153698385950929612298974790143840197232206383313174216627981375769791777",
        "-2.8562308153698385950929612298974432611627104948038840453782622899840210816545632",
        "-2.8762308153698385950929612298974376260656007058697055530805082105934691594110496",
        "-2.8962308153698385950929612298974367602642699046729474672370978486964937758523888",
        "-2.9162308153698385950929612298974366305866078914935076867904636112147231160928979",
        "-2.9362308153698385950929612298974366116526396173763708918620527246363971333047877",
        "-2.9562308153698385950929612298974366089577117213809454978209692216286992578198774",
        "-2.9762308153698385950929612298974366085837895841235525110204747225079711730228331",
        "-2.9962308153698385950929612298974366085332137298115625677697914783895024468407449",
        "-3.0162308153698385950929612298974366085265451583560137778311840115608662410654375",
        "-3.0362308153698385950929612298974366085256880229405169042147722370787839245396981",
        "-3.0562308153698385950929612298974366085255806258179869962765241974668026058828833",
        "-3.0762308153698385950929612298974366085255675079891384145607736922958991674187258",
        "-3.0962308153698385950929612298974366085255659460758281916343345786739742191309875",
        "-3.1162308153698385950929612298974366085255657647844744531835791106009547061967161",
        "-3.1362308153698385950929612298974366085255657442718128521298169486743952043809252",
        "-3.1562308153698385950929612298974366085255657420092989273525893239593044244324515",
        "-3.1762308153698385950929612298974366085255657417660312553573088416604061177716726",
        "-3.1962308153698385950929612298974366085255657417405335552672288357566430278490076",
        "-3.2162308153698385950929612298974366085255657417379283576399022952077707382393261",
        "-3.2362308153698385950929612298974366085255657417376688781791860829739836521890719",
        "-3.2562308153698385950929612298974366085255657417376436847349765806098959724537725",
        "-3.2762308153698385950929612298974366085255657417376413002535148145644343404894157",
        "-3.2962308153698385950929612298974366085255657417376410802539534852184916503115405",
        "-3.3162308153698385950929612298974366085255657417376410604673726653351644127630294",
        "-3.3362308153698385950929612298974366085255657417376410587326087215297298881043459",
        "-3.3562308153698385950929612298974366085255657417376410585843465548007404357941328",
        "-3.3762308153698385950929612298974366085255657417376410585719944703382702654857663",
        "-3.3962308153698385950929612298974366085255657417376410585709913113830987309747928",
        "-3.4162308153698385950929612298974366085255657417376410585709118934663525709761672",
        "-3.4362308153698385950929612298974366085255657417376410585709057645159199816843384",
        "-3.4562308153698385950929612298974366085255657417376410585709053034401903520642891",
        "-3.4762308153698385950929612298974366085255657417376410585709052696277429033461159",
        "-3.4962308153698385950929612298974366085255657417376410585709052672106195909838362",
        "-3.5162308153698385950929612298974366085255657417376410585709052670421821915899932",
        "-3.5362308153698385950929612298974366085255657417376410585709052670307403629298185",
        "-3.5562308153698385950929612298974366085255657417376410585709052670299827118961786",
        "-3.576230815369838595092961229897436608525565741737641058570905267029933806188514",
        "-3.5962308153698385950929612298974366085255657417376410585709052670299307289149473",
        "-3.6162308153698385950929612298974366085255657417376410585709052670299305401642413",
        "-3.6362308153698385950929612298974366085255657417376410585709052670299305288785888",
        "-3.6562308153698385950929612298974366085255657417376410585709052670299305282208097",
        "-3.6762308153698385950929612298974366085255657417376410585709052670299305281834375",
        "-3.6962308153698385950929612298974366085255657417376410585709052670299305281813677",
        "-3.7162308153698385950929612298974366085255657417376410585709052670299305281812559",
        "-3.7362308153698385950929612298974366085255657417376410585709052670299305281812501",
        "-3.7562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.7762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.7962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.9162308153698385950929612298974366085255657417376410585709052670299305281812498"
      ]
    },
    {
      "h": 3,
      "forcing_rate": [
        "-17.0",
        "-16.8404",
        "-16.6816",
        "-16.5236",
        "-16.3664",
        "-16.21",
        "-16.0544",
        "-15.8996",
        "-15.7456",
        "-15.5924",
        "-15.44",
        "-15.2884",
        "-15.1376",
        "-14.9876",
        "-14.8384",
        "-14.69",
        "-14.5424",
        "-14.3956",
        "-14.2496",
        "-14.1044",
        "-13.96",
        "-13.8164",
        "-13.6736",
        "-13.5316",
        "-13.3904",
        "-13.25",
        "-13.1104",
        "-12.9716",
        "-12.8336",
        "-12.6964",
        "-12.56",
        "-12.4244",
        "-12.2896",
        "-12.1556",
        "-12.0224",
        "-11.89",
        "-11.7584",
        "-11.6276",
        "-11.4976",
        "-11.3684",
        "-11.24",
        "-11.1124",
        "-10.9856",
        "-10.8596",
        "-10.7344",
        "-10.61",
        "-10.4864",
        "-10.3636",
        "-10.2416",
        "-10.1204",
        "-10.0",
        "-9.8804",
        "-9.7616",
        "-9.6436",
        "-9.5264",
        "-9.41",
        "-9.2944",
        "-9.1796",
        "-9.0656",
        "-8.9524",
        "-8.84",
        "-8.7284",
        "-8.6176",
        "-8.5076",
        "-8.3984",
        "-8.29",
        "-8.1824",
        "-8.0756",
        "-7.9696",
        "-7.8644",
        "-7.76",
        "-7.6564",
        "-7.5536",
        "-7.4516",
        "-7.3504",
        "-7.25",
        "-7.1504",
        "-7.0516",
        "-6.9536",
        "-6.8564",
        "-6.76",
        "-6.6644",
        "-6.5696",
        "-6.4756",
        "-6.3824",
        "-6.29",
        "-6.1984",
        "-6.1076",
        "-6.0176",
        "-5.9284",
        "-5.84",
        "-5.7524",
        "-5.6656",
        "-5.5796",
        "-5.4944",
        "-5.41",
        "-5.3264",
        "-5.2436",
        "-5.1616",
        "-5.0804",
        "-5.0",
        "-4.9204",
        "-4.8416",
        "-4.7636",
        "-4.6864",
        "-4.61",
        "-4.5344",
        "-4.4596",
        "-4.3856",
        "-4.3124",
        "-4.24",
        "-4.1684",
        "-4.0976",
        "-4.0276",
        "-3.9584",
        "-3.89",
        "-3.8224",
        "-3.7556",
        "-3.6896",
        "-3.6244",
        "-3.56",
        "-3.4964",
        "-3.4336",
        "-3.3716",
        "-3.3104",
        "-3.25",
        "-3.1904",
        "-3.1316",
        "-3.0736",
        "-3.0164",
        "-2.96",
        "-2.9044",
        "-2.8496",
        "-2.7956",
        "-2.7424",
        "-2.69",
        "-2.6384",
        "-2.5876",
        "-2.5376",
        "-2.4884",
        "-2.44",
        "-2.3924",
        "-2.3456",
        "-2.2996",
        "-2.2544",
        "-2.21",
        "-2.1664",
        "-2.1236",
        "-2.0816",
        "-2.0404",
        "-2.0",
        "-1.9604",
        "-1.9216",
        "-1.8836",
        "-1.8464",
        "-1.81",
        "-1.7744",
        "-1.7396",
        "-1.7056",
        "-1.6724",
        "-1.64",
        "-1.6084",
        "-1.5776",
        "-1.5476",
        "-1.5184",
        "-1.49",
        "-1.4624",
        "-1.4356",
        "-1.4096",
        "-1.3844",
        "-1.36",
        "-1.3364",
        "-1.3136",
        "-1.2916",
        "-1.2704",
        "-1.25",
        "-1.2304",
        "-1.2116",
        "-1.1936",
        "-1.1764",
        "-1.16",
        "-1.1444",
        "-1.1296",
        "-1.1156",
        "-1.1024",
        "-1.09",
        "-1.0784",
        "-1.0676",
        "-1.0576",
        "-1.0484",
        "-1.04",
        "-1.0324",
        "-1.0256",
        "-1.0196",
        "-1.0144",
        "-1.01",
        "-1.0064",
        "-1.0036",
        "-1.0016",
        "-1.0004",
        "-1.0",
        "-1.0004",
        "-1.0016",
        "-1.0036",
        "-1.0064",
        "-1.01",
        "-1.0144",
        "-1.0196",
        "-1.0256",
        "-1.0324",
        "-1.04",
        "-1.0484",
        "-1.0576",
        "-1.0676",
        "-1.0784",
        "-1.09",
        "-1.1024",
        "-1.1156",
        "-1.1296",
        "-1.1444",
        "-1.16",
        "-1.1764",
        "-1.1936",
        "-1.2116",
        "-1.2304",
        "-1.25",
        "-1.2704",
        "-1.2916",
        "-1.3136",
        "-1.3364",
        "-1.36",
        "-1.3844",
        "-1.4096",
        "-1.4356",
        "-1.4624",
        "-1.49",
        "-1.5184",
        "-1.5476",
        "-1.5776",
        "-1.6084",
        "-1.64",
        "-1.6724",
        "-1.7056",
        "-1.7396",
        "-1.7744",
        "-1.81",
        "-1.8464",
        "-1.8836",
        "-1.9216",
        "-1.9604",
        "-2.0",
        "-2.0404",
        "-2.0816",
        "-2.1236",
        "-2.1664",
        "-2.21",
        "-2.2544",
        "-2.2996",
        "-2.3456",
        "-2.3924",
        "-2.44",
        "-2.4884",
        "-2.5376",
        "-2.5876",
        "-2.6384",
        "-2.69",
        "-2.7424",
        "-2.7956",
        "-2.8496",
        "-2.9044",
        "-2.96",
        "-3.0164",
        "-3.0736",
        "-3.1316",
        "-3.1904",
        "-3.25",
        "-3.3104",
        "-3.3716",
        "-3.4336",
        "-3.4964",
        "-3.56",
        "-3.6244",
        "-3.6896",
        "-3.7556",
        "-3.8224",
        "-3.89",
        "-3.9584",
        "-4.0276",
        "-4.0976",
        "-4.1684",
        "-4.24",
        "-4.3124",
        "-4.3856",
        "-4.4596",
        "-4.5344",
        "-4.61",
        "-4.6864",
        "-4.7636",
        "-4.8416",
        "-4.9204",
        "-5.0"
      ],
      "particular_rate": [
        "-4.9162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.8162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.7162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.6162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.5162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.4162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.3162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.2162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.1162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-4.0162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.9162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8362308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.8162308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.7962308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.7762308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.7562308153698385950929612298974366085255657417376410585709052670299305281812498",
        "-3.7362308153698385950929612298974366085255657417376410585709052670299305281812501",
        "-3.7162308153698385950929612298974366085255657417376410585709052670299305281812559",
        "-3.6962308153698385950929612298974366085255657417376410585709052670299305281813677",
        "-3.6762308153698385950929612298974366085255657417376410585709052670299305281834375",
        "-3.6562308153698385950929612298974366085255657417376410585709052670299305282208097",
        "-3.6362308153698385950929612298974366085255657417376410585709052670299305288785888",
        "-3.6162308153698385950929612298974366085255657417376410585709052670299305401642413",
        "-3.5962308153698385950929612298974366085255657417376410585709052670299307289149473",
        "-3.576230815369838595092961229897436608525565741737641058570905267029933806188514",
        "-3.5562308153698385950929612298974366085255657417376410585709052670299827118961786",
        "-3.5362308153698385950929612298974366085255657417376410585709052670307403629298185",
        "-3.5162308153698385950929612298974366085255657417376410585709052670421821915899932",
        "-3.4962308153698385950929612298974366085255657417376410585709052672106195909838362",
        "-3.4762308153698385950929612298974366085255657417376410585709052696277429033461159",
        "-3.4562308153698385950929612298974366085255657417376410585709053034401903520642891",
        "-3.4362308153698385950929612298974366085255657417376410585709057645159199816843384",
        "-3.4162308153698385950929612298974366085255657417376410585709118934663525709761672",
        "-3.3962308153698385950929612298974366085255657417376410585709913113830987309747928",
        "-3.3762308153698385950929612298974366085255657417376410585719944703382702654857663",
        "-3.3562308153698385950929612298974366085255657417376410585843465548007404357941328",
        "-3.3362308153698385950929612298974366085255657417376410587326087215297298881043459",
        "-3.3162308153698385950929612298974366085255657417376410604673726653351644127630294",
        "-3.2962308153698385950929612298974366085255657417376410802539534852184916503115405",
        "-3.2762308153698385950929612298974366085255657417376413002535148145644343404894157",
        "-3.2562308153698385950929612298974366085255657417376436847349765806098959724537725",
        "-3.2362308153698385950929612298974366085255657417376688781791860829739836521890719",
        "-3.2162308153698385950929612298974366085255657417379283576399022952077707382393261",
        "-3.1962308153698385950929612298974366085255657417405335552672288357566430278490076",
        "-3.1762308153698385950929612298974366085255657417660312553573088416604061177716726",
        "-3.1562308153698385950929612298974366085255657420092989273525893239593044244324515",
        "-3.1362308153698385950929612298974366085255657442718128521298169486743952043809252",
        "-3.1162308153698385950929612298974366085255657647844744531835791106009547061967161",
        "-3.0962308153698385950929612298974366085255659460758281916343345786739742191309875",
        "-3.0762308153698385950929612298974366085255675079891384145607736922958991674187258",
        "-3.0562308153698385950929612298974366085255806258179869962765241974668026058828833",
        "-3.0362308153698385950929612298974366085256880229405169042147722370787839245396981",
        "-3.0162308153698385950929612298974366085265451583560137778311840115608662410654375",
        "-2.9962308153698385950929612298974366085332137298115625677697914783895024468407449",
        "-2.9762308153698385950929612298974366085837895841235525110204747225079711730228331",
        "-2.9562308153698385950929612298974366089577117213809454978209692216286992578198774",
        "-2.9362308153698385950929612298974366116526396173763708918620527246363971333047877",
        "-2.9162308153698385950929612298974366305866078914935076867904636112147231160928979",
        "-2.8962308153698385950929612298974367602642699046729474672370978486964937758523888",
        "-2.8762308153698385950929612298974376260656007058697055530805082105934691594110496",
        "-2.8562308153698385950929612298974432611627104948038840453782622899840210816545632",
        "-2.8362308153698385950929612298974790143840197232206383313174216627981375769791777",
        "-2.8162308153698385950929612298977001507229200268237326620389513036978395911822479",
        "-2.7962308153698385950929612298990334780437333566582093037078436019968524495585316",
        "-2.7762308153698385950929612299068704038745398637523179357095084187363660498922925",
        "-2.756230815369838595092961229951774666813842644603186652345566535748324451922364",
        "-2.7362308153698385950929612302025950799436374705871019286365122534211067734224277",
        "-2.7162308153698385950929612315683483915360213695070525957201121183548139821483847",
        "-2.6962308153698385950929612388179867197289349112917138829042536359048773106142251",
        "-2.6762308153698385950929612763321916413466244199726024537636835658365919304514598",
        "-2.6562308153698385950929614655714005146395788362299578246615669725884061474495118",
        "-2.6362308153698385950929623961715801516722248282429451001664624909320759602770406",
        "-2.6162308153698385950929668573792959264597891603863826560020500315571464597674682",
        "-2.5962308153698385950929877061162597752239461800741410523898607754008652933110559",
        "-2.5762308153698385950930826890878338784256237251187338560898650875943522333162774",
        "-2.5562308153698385950935045324035175909923006681855842860868490413490760603713509",
        "-2.5362308153698385950953309359639107421861255436366385804648464528579713242938815",
        "-2.5162308153698385951030396729148486880084031588957798340748193913237756728785657",
        "-2.4962308153698385951347580813756492679671061149740164716145926784892954963946153",
        "-2.4762308153698385952619858819977534253144904637862900821319885070005344086965661",
        "-2.4562308153698385957594891440293699633186990656122110615037552394623658835265644",
        "-2.4362308153698385976559939907071395397704566694653639975819751289653233622435252",
        "-2.4162308153698386047038487149263738355182358713676759511941015990504189935096382",
        "-2.396230815369838630237079180629149952199130564262207958533351315228793891030505",
        "-2.3762308153698387204152283704844403177446842609655569701456013388353490430302415",
        "-2.356230815369839030903013706043616406158004233845705921809206256720276906936237",
        "-2.3362308153698400730676076270055231897331143130331314918356572579914202597066055",
        "-2.3162308153698434832504993341403216071682488878123942050949633150432460332480432",
        "-2.2962308153698543617647553103754317569157797124482265915278410944548736092365163",
        "-2.2762308153698881926279732420634118756186871242506366387470235475782936252949956",
        "-2.2562308153699907599945619166046008825218264006432503913844281973217581896682043",
        "-2.2362308153702939110221598909062514021765349877239717543486407521121457677575268",
        "-2.2162308153711674126344183555724550906391382492972370646503695992326697920641611",
        "-2.1962308153736211289432428952921809114020188991823450611929365701774376377242357",
        "-2.1762308153803407091205915560542978379708444036986370474020632996036881403525127",
        "-2.1562308153982805381036613175146755101726028454023606494674379520652909012395729",
        "-2.1362308154449737853341751561722686055899955708614661081680443912335360972765853",
        "-2.1162308155634553466744327013754481208509957170274016397834946065669606901148127",
        "-2.0962308158565512209749498801157593033256164182862610330348790239979576859031021",
        "-2.076230816563409362143776853143053252691182488395102819249705268488178799082822",
        "-2.0562308182253666967897438852402114236294138001607152332741076157168217022596088",
        "-2.0362308220349195355706849409362216072813195666918411426313681435483248744114664",
        "-2.0162308305481854413986042161209355097540212244483361592561767869773847826652717",
        "-1.9962308490958008329429332424835387382979971995511099741870939120786028482465205",
        "-1.976230888491733175711644148738498941227355453642982763758257382238988219028713",
        "-1.956230970072541026264750203212923845097002536570833539929740836522605562482337",
        "-1.9362311347750084293291181062960957490825077777180568023081525952948376778834246",
        "-1.9162314589580603711502284277034567567597905090403787101271410924128652254548061",
        "-1.8962320810605795016228032883906020689005404379215298498284143155082648951122906",
        "-1.8762332449712601754455266757920470675059253611310819889917420315779870272646121",
        "-1.8562353680689872868241516795493263923519607678155848443008726687464295512161283",
        "-1.8362391439887309589578032064009219496256988337023015459171401051072975873761243",
        "-1.816245691748192270233371512926952075787320264526048151050344558301161882047581",
        "-1.7962567631359780596646454130307767832057426460692813253033487564970949621126913",
        "-1.7762750182176520660761096392167293866230911613593361274499941607377689372677168",
        "-1.756304373481738269204181550700073558132556553650219782242708349532560911964485",
        "-1.7363504179292097362788603353137455216131190041403117133268261932398437698023641",
        "-1.7164208795702192908552599669353053008414240884865141856890371915083942309343517",
        "-1.6965261098666308284997451840587080482610133425812597268988188000747268687569777",
        "-1.6766795395693660787715921781053437406642172505400040752277843197943562818138435",
        "-1.6568980500216597570051970147794741638466929252839113946245267765306918681240255",
        "-1.637202203119177381486577172076011458711555353035490244443190633738290632209592",
        "-1.6176162830192585190612898212491424631466712930198683764173562928230216662870093",
        "-1.5981681229406967850712070477291567253893958460907608727349183376294697611017487",
        "-1.5788887174772925027741080411101574058064158289175209008168552181682773129999682",
        "-1.5598116490043087697256023088516596398637187602465910918333928650404434324590553",
        "-1.540972379788467948269761443432929474322514452573181516362676453106743433663673",
        "-1.5224074746841413552183860963770514404025288873573912546759635981359207598764471",
        "-1.5041538210641723565349557512461642597951658688848403701270108695483119067490339",
        "-1.4862479041864611977475456409898087745072156804929525698112307861828566017639795",
        "-1.4687251809629660628324762648137292529133641911226333304400246269818401151182549",
        "-1.4516195772336315556053358887498118336475416545160884548772342068351968523733633",
        "-1.4349631167835002994705728800860440949416551514267175086367101442938617933375665",
        "-1.418785676853201732440592119477951267593940060272235905426697242751586116236107",
        "-1.4031148557696162633497773657309312531560480413419783266602708220683698804713899",
        "-1.3879759334435047719122756489586993757776759335904564879915133776421959761048837",
        "-1.3733919040571895809134707448329976530993162921901718527056417169775043160649103",
        "-1.3593835612615287527691398943501480841742753491610640669562586498111974425201007",
        "-1.3459696186239636895861259795277215168506645694589534848495013609890048351385833",
        "-1.3331668511212382543731446170197579411718403298913027703128976245511251866005165",
        "-1.3209902465955734848337327309107728669512037255970159722001263780337867547144593",
        "-1.3094531589561050619784027197654108635977662242970961582327893213816945925382648",
        "-1.2985674573434790850022800787352320399827731040193544844572666565160842890716004",
        "-1.2883436674363991762701145886135058369294153614092107347393059670809803483743545",
        "-1.2787911025864408793253697992297527510942141401099174656503980494847929305007899",
        "-1.2699179835790473722117101380803154866648590477473560859696952433898266990545927",
        "-1.2617315466045578733881071171509973081891664402233674856744627536509692776720989",
        "-1.2542381395529521728116388057671090812852121310686062067949489099711762303164613",
        "-1.2474433070816309955688588884564064309983703110308072835172130018916655537057628",
        "-1.2413518650985477474863334089530792049083505204514803715775803002634957703022416",
        "-1.2359679653943136261323013565309488624627908339153265424277360270626333517368259",
        "-1.231295151177867722423101848193637035360389796223386881412113707070703536903921",
        "-1.2273364042442040195624410861612262202770926030881317415334655803585267275253403",
        "-1.2240941844462545788538671214399099966584749936079189621969242023868469902165783",
        "-1.2215704620680878546106891299418067432453287766580427657990845637019704857569398",
        "-1.2197667436110443527017732210075471071616902456250771837940095225264765872059557",
        "-1.2186840914134554556749145617029983129710359677715326372565171225976356600966817",
        "-1.2183231374313181425443202368572640771824331655589365158738412769311252604152268",
        "-1.2186840914134554556749145617029983129710359677715326372565171225976356600966817",
        "-1.2197667436110443527017732210075471071616902456250771837940095225264765872059557",
        "-1.2215704620680878546106891299418067432453287766580427657990845637019704857569398",
        "-1.2240941844462545788538671214399099966584749936079189621969242023868469902165783",
        "-1.2273364042442040195624410861612262202770926030881317415334655803585267275253403",
        "-1.231295151177867722423101848193637035360389796223386881412113707070703536903921",
        "-1.2359679653943136261323013565309488624627908339153265424277360270626333517368259",
        "-1.2413518650985477474863334089530792049083505204514803715775803002634957703022416",
        "-1.2474433070816309955688588884564064309983703110308072835172130018916655537057628",
        "-1.2542381395529521728116388057671090812852121310686062067949489099711762303164613",
        "-1.2617315466045578733881071171509973081891664402233674856744627536509692776720989",
        "-1.2699179835790473722117101380803154866648590477473560859696952433898266990545927",
        "-1.2787911025864408793253697992297527510942141401099174656503980494847929305007899",
        "-1.2883436674363991762701145886135058369294153614092107347393059670809803483743545",
        "-1.2985674573434790850022800787352320399827731040193544844572666565160842890716004",
        "-1.3094531589561050619784027197654108635977662242970961582327893213816945925382648",
        "-1.3209902465955734848337327309107728669512037255970159722001263780337867547144593",
        "-1.3331668511212382543731446170197579411718403298913027703128976245511251866005165",
        "-1.3459696186239636895861259795277215168506645694589534848495013609890048351385833",
        "-1.3593835612615287527691398943501480841742753491610640669562586498111974425201007",
        "-1.3733919040571895809134707448329976530993162921901718527056417169775043160649103",
        "-1.3879759334435047719122756489586993757776759335904564879915133776421959761048837",
        "-1.4031148557696162633497773657309312531560480413419783266602708220683698804713899",
        "-1.418785676853201732440592119477951267593940060272235905426697242751586116236107",
        "-1.4349631167835002994705728800860440949416551514267175086367101442938617933375665",
        "-1.4516195772336315556053358887498118336475416545160884548772342068351968523733633",
        "-1.4687251809629660628324762648137292529133641911226333304400246269818401151182549",
        "-1.4862479041864611977475456409898087745072156804929525698112307861828566017639795",
        "-1.5041538210641723565349557512461642597951658688848403701270108695483119067490339",
        "-1.5224074746841413552183860963770514404025288873573912546759635981359207598764471",
        "-1.540972379788467948269761443432929474322514452573181516362676453106743433663673",
        "-1.5598116490043087697256023088516596398637187602465910918333928650404434324590553",
        "-1.5788887174772925027741080411101574058064158289175209008168552181682773129999682",
        "-1.5981681229406967850712070477291567253893958460907608727349183376294697611017487",
        "-1.6176162830192585190612898212491424631466712930198683764173562928230216662870093",
        "-1.637202203119177381486577172076011458711555353035490244443190633738290632209592",
        "-1.6568980500216597570051970147794741638466929252839113946245267765306918681240255",
        "-1.6766795395693660787715921781053437406642172505400040752277843197943562818138435",
        "-1.6965261098666308284997451840587080482610133425812597268988188000747268687569777",
        "-1.7164208795702192908552599669353053008414240884865141856890371915083942309343517",
        "-1.7363504179292097362788603353137455216131190041403117133268261932398437698023641",
        "-1.756304373481738269204181550700073558132556553650219782242708349532560911964485",
        "-1.7762750182176520660761096392167293866230911613593361274499941607377689372677168",
        "-1.7962567631359780596646454130307767832057426460692813253033487564970949621126913",
        "-1.816245691748192270233371512926952075787320264526048151050344558301161882047581",
        "-1.8362391439887309589578032064009219496256988337023015459171401051072975873761243",
        "-1.8562353680689872868241516795493263923519607678155848443008726687464295512161283",
        "-1.8762332449712601754455266757920470675059253611310819889917420315779870272646121",
        "-1.8962320810605795016228032883906020689005404379215298498284143155082648951122906",
        "-1.9162314589580603711502284277034567567597905090403787101271410924128652254548061",
        "-1.9362311347750084293291181062960957490825077777180568023081525952948376778834246",
        "-1.956230970072541026264750203212923845097002536570833539929740836522605562482337",
        "-1.976230888491733175711644148738498941227355453642982763758257382238988219028713",
        "-1.9962308490958008329429332424835387382979971995511099741870939120786028482465205",
        "-2.0162308305481854413986042161209355097540212244483361592561767869773847826652717",
        "-2.0362308220349195355706849409362216072813195666918411426313681435483248744114664",
        "-2.0562308182253666967897438852402114236294138001607152332741076157168217022596088",
        "-2.076230816563409362143776853143053252691182488395102819249705268488178799082822",
        "-2.0962308158565512209749498801157593033256164182862610330348790239979576859031021",
        "-2.1162308155634553466744327013754481208509957170274016397834946065669606901148127",
        "-2.1362308154449737853341751561722686055899955708614661081680443912335360972765853",
        "-2.1562308153982805381036613175146755101726028454023606494674379520652909012395729",
        "-2.1762308153803407091205915560542978379708444036986370474020632996036881403525127",
        "-2.1962308153736211289432428952921809114020188991823450611929365701774376377242357",
        "-2.2162308153711674126344183555724550906391382492972370646503695992326697920641611",
        "-2.2362308153702939110221598909062514021765349877239717543486407521121457677575268",
        "-2.2562308153699907599945619166046008825218264006432503913844281973217581896682043",
        "-2.2762308153698881926279732420634118756186871242506366387470235475782936252949956",
        "-2.2962308153698543617647553103754317569157797124482265915278410944548736092365163",
        "-2.3162308153698434832504993341403216071682488878123942050949633150432460332480432",
        "-2.3362308153698400730676076270055231897331143130331314918356572579914202597066055",
        "-2.356230815369839030903013706043616406158004233845705921809206256720276906936237",
        "-2.3762308153698387204152283704844403177446842609655569701456013388353490430302415",
        "-2.396230815369838630237079180629149952199130564262207958533351315228793891030505",
        "-2.4162308153698386047038487149263738355182358713676759511941015990504189935096382",
        "-2.4362308153698385976559939907071395397704566694653639975819751289653233622435252",
        "-2.4562308153698385957594891440293699633186990656122110615037552394623658835265644",
        "-2.4762308153698385952619858819977534253144904637862900821319885070005344086965661",
        "-2.4962308153698385951347580813756492679671061149740164716145926784892954963946153",
        "-2.5162308153698385951030396729148486880084031588957798340748193913237756728785657",
        "-2.5362308153698385950953309359639107421861255436366385804648464528579713242938815",
        "-2.5562308153698385950935045324035175909923006681855842860868490413490760603713509",
        "-2.5762308153698385950930826890878338784256237251187338560898650875943522333162774",
        "-2.5962308153698385950929877061162597752239461800741410523898607754008652933110559",
        "-2.6162308153698385950929668573792959264597891603863826560020500315571464597674682",
        "-2.6362308153698385950929623961715801516722248282429451001664624909320759602770406",
        "-2.6562308153698385950929614655714005146395788362299578246615669725884061474495118",
        "-2.6762308153698385950929612763321916413466244199726024537636835658365919304514598",
        "-2.6962308153698385950929612388179867197289349112917138829042536359048773106142251",
        "-2.7162308153698385950929612315683483915360213695070525957201121183548139821483847",
        "-2.7362308153698385950929612302025950799436374705871019286365122534211067734224277",
        "-2.756230815369838595092961229951774666813842644603186652345566535748324451922364",
        "-2.7762308153698385950929612299068704038745398637523179357095084187363660498922925",
        "-2.7962308153698385950929612298990334780437333566582093037078436019968524495585316",
        "-2.8162308153698385950929612298977001507229200268237326620389513036978395911822479",
        "-2.8362308153698385950929612298974790143840197232206383313174216627981375769791777",
        "-2.8562308153698385950929612298974432611627104948038840453782622899840210816545632",
        "-2.8762308153698385950929612298974376260656007058697055530805082105934691594110496",
        "-2.8962308153698385950929612298974367602642699046729474672370978486964937758523888",
        "-2.9162308153698385950929612298974366305866078914935076867904636112147231160928979"
      ]
    }
  ],
  "left_modes_are_finite_parameter_examples_not_the_actual_lacunary_sum": true,
  "per_mode_complex_time_scales": [
    {
      "h": 1,
      "forcing_threshold_exact": "(1^2+1)/1^2",
      "forcing_threshold": "2.0",
      "tail_threshold_exact": "(1+3/4)/1^2",
      "tail_threshold": "1.75"
    },
    {
      "h": 2,
      "forcing_threshold_exact": "(2^2+1)/2^2",
      "forcing_threshold": "1.25",
      "tail_threshold_exact": "(2+3/4)/2^2",
      "tail_threshold": "0.6875"
    },
    {
      "h": 3,
      "forcing_threshold_exact": "(3^2+1)/3^2",
      "forcing_threshold": "1.1111111111111111111111111111111111111111111111111111111111111111111111111111111",
      "tail_threshold_exact": "(3+3/4)/3^2",
      "tail_threshold": "0.41666666666666666666666666666666666666666666666666666666666666666666666666666667"
    },
    {
      "h": 4,
      "forcing_threshold_exact": "(4^2+1)/4^2",
      "forcing_threshold": "1.0625",
      "tail_threshold_exact": "(4+3/4)/4^2",
      "tail_threshold": "0.296875"
    },
    {
      "h": 5,
      "forcing_threshold_exact": "(5^2+1)/5^2",
      "forcing_threshold": "1.04",
      "tail_threshold_exact": "(5+3/4)/5^2",
      "tail_threshold": "0.23"
    },
    {
      "h": 6,
      "forcing_threshold_exact": "(6^2+1)/6^2",
      "forcing_threshold": "1.0277777777777777777777777777777777777777777777777777777777777777777777777777778",
      "tail_threshold_exact": "(6+3/4)/6^2",
      "tail_threshold": "0.1875"
    },
    {
      "h": 7,
      "forcing_threshold_exact": "(7^2+1)/7^2",
      "forcing_threshold": "1.0204081632653061224489795918367346938775510204081632653061224489795918367346939",
      "tail_threshold_exact": "(7+3/4)/7^2",
      "tail_threshold": "0.15816326530612244897959183673469387755102040816326530612244897959183673469387755"
    },
    {
      "h": 8,
      "forcing_threshold_exact": "(8^2+1)/8^2",
      "forcing_threshold": "1.015625",
      "tail_threshold_exact": "(8+3/4)/8^2",
      "tail_threshold": "0.13671875"
    }
  ],
  "tail_scales_are_proved_q_to_infinity_leading_exponential_rates": true,
  "individual_mode_growth_does_not_replace_the_global_solution_exclusion_argument": true,
  "formal_proof_locators": [
    "Lemma3.2",
    "Lemma4.1",
    "Lemmas5.1\u20135.4",
    "Theorem1.1"
  ]
}