2024-09-26-19-55-01/pytorch/benchmark.json

{
    "config": {
        "name": "2024-09-26-19-55-01/pytorch",
        "backend": {
            "name": "pytorch",
            "version": "2.3.0",
            "_target_": "optimum_benchmark.backends.pytorch.backend.PyTorchBackend",
            "task": "feature-extraction",
            "library": "transformers",
            "model_type": "bert",
            "model": "hf-internal-testing/tiny-random-bert",
            "processor": "hf-internal-testing/tiny-random-bert",
            "device": "cpu",
            "device_ids": null,
            "seed": 42,
            "inter_op_num_threads": null,
            "intra_op_num_threads": null,
            "model_kwargs": {},
            "processor_kwargs": {},
            "no_weights": false,
            "device_map": null,
            "torch_dtype": "float32",
            "eval_mode": true,
            "to_bettertransformer": false,
            "low_cpu_mem_usage": null,
            "attn_implementation": null,
            "cache_implementation": null,
            "autocast_enabled": false,
            "autocast_dtype": null,
            "torch_compile": false,
            "torch_compile_target": "forward",
            "torch_compile_config": {},
            "quantization_scheme": null,
            "quantization_config": {},
            "deepspeed_inference": false,
            "deepspeed_inference_config": {},
            "peft_type": null,
            "peft_config": {}
        },
        "scenario": {
            "name": "inference",
            "_target_": "optimum_benchmark.scenarios.inference.scenario.InferenceScenario",
            "iterations": 10,
            "duration": 10,
            "warmup_runs": 10,
            "input_shapes": {
                "batch_size": 2,
                "num_choices": 2,
                "sequence_length": 16
            },
            "new_tokens": null,
            "memory": false,
            "latency": true,
            "energy": false,
            "forward_kwargs": {},
            "generate_kwargs": {},
            "call_kwargs": {}
        },
        "launcher": {
            "name": "process",
            "_target_": "optimum_benchmark.launchers.process.launcher.ProcessLauncher",
            "device_isolation": false,
            "device_isolation_action": null,
            "numactl": false,
            "numactl_kwargs": "",
            "start_method": "spawn"
        },
        "environment": {
            "cpu": " 12th Gen Intel(R) Core(TM) i9-12900H",
            "cpu_count": 20,
            "cpu_ram_mb": 8162.504704,
            "system": "Linux",
            "machine": "x86_64",
            "platform": "Linux-5.15.153.1-microsoft-standard-WSL2-x86_64-with-glibc2.35",
            "processor": "x86_64",
            "python_version": "3.9.16",
            "gpu": [
                "NVIDIA GeForce RTX 3070 Ti Laptop GPU"
            ],
            "gpu_count": 1,
            "gpu_vram_mb": 8589934592,
            "optimum_benchmark_version": "0.5.0",
            "optimum_benchmark_commit": "659321552dd4aff6d94b83de45e88091c9eb36cf",
            "transformers_version": "4.39.3",
            "transformers_commit": null,
            "accelerate_version": "0.22.0",
            "accelerate_commit": null,
            "diffusers_version": "0.30.3",
            "diffusers_commit": null,
            "optimum_version": "1.22.0",
            "optimum_commit": null,
            "timm_version": null,
            "timm_commit": null,
            "peft_version": "0.5.0",
            "peft_commit": null
        }
    },
    "report": {
        "load": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.17385632800869644
                ],
                "count": 1,
                "total": 0.17385632800869644,
                "mean": 0.17385632800869644,
                "p50": 0.17385632800869644,
                "p90": 0.17385632800869644,
                "p95": 0.17385632800869644,
                "p99": 0.17385632800869644,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        },
        "forward": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.0015074339899001643,
                    0.0018547310028225183,
                    0.001414268001099117,
                    0.002951959992060438,
                    0.0024578509910497814,
                    0.001708675001282245,
                    0.004870221993769519,
                    0.0032901289960136637,
                    0.003254575000028126,
                    0.0025337819970445707,
                    0.0013320959988050163,
                    0.0017452269967179745,
                    0.00216952599294018,
                    0.0021025519963586703,
                    0.001434453995898366,
                    0.0015862080035731196,
                    0.0015487179916817695,
                    0.0016469099937239662,
                    0.0015852459910092875,
                    0.004650717994081788,
                    0.0014783899969188496,
                    0.003202799998689443,
                    0.0033659640030236915,
                    0.0034705110010690987,
                    0.0020855339971603826,
                    0.00282392100780271,
                    0.0017717860027914867,
                    0.0018160920008085668,
                    0.0018098019936587662,
                    0.0015337609947891906,
                    0.001449695002520457,
                    0.0013405580102698877,
                    0.0037578039919026196,
                    0.0037738730025012046,
                    0.0027545720076886937,
                    0.0016311149956891313,
                    0.0012325959978625178,
                    0.001503103005234152,
                    0.001819130004150793,
                    0.004906558999209665,
                    0.0038175019872142,
                    0.005570688008447178,
                    0.004311471013352275,
                    0.0014775680028833449,
                    0.0014681020111311227,
                    0.0013359250006033108,
                    0.0014387630071723834,
                    0.0013072950096102431,
                    0.0014336729946080595,
                    0.0014687750081066042,
                    0.0012837600079365075,
                    0.0013768109929515049,
                    0.0011526270100148395,
                    0.001417822000803426,
                    0.0021345610002754256,
                    0.0017638379940763116,
                    0.0016453569987788796,
                    0.0015987299993867055,
                    0.0011958039976889268,
                    0.0013099610077915713,
                    0.0014953300124034286,
                    0.0011587319895625114,
                    0.0014517079980578274,
                    0.0012055360130034387,
                    0.0012319779925746843,
                    0.0017494810017524287,
                    0.0017631960072321817,
                    0.0019386909989407286,
                    0.0020881160016870126,
                    0.0018084619950968772,
                    0.0011994619999313727,
                    0.0011332349968142807,
                    0.001311858999542892,
                    0.0013452830025926232,
                    0.0012446900072973222,
                    0.0013961490039946511,
                    0.0012209189881104976,
                    0.0011952990025747567,
                    0.001186459994642064,
                    0.001355706001049839,
                    0.0013432090054266155,
                    0.0013816860009683296,
                    0.0014254749985411763,
                    0.0015467759949387982,
                    0.0015181120106717572,
                    0.001228699999046512,
                    0.001434132005670108,
                    0.0011840369988931343,
                    0.002029347000643611,
                    0.0012698860082309693,
                    0.001812084999983199,
                    0.0012838339898735285,
                    0.0012012570077786222,
                    0.0011513520003063604,
                    0.0012562810006784275,
                    0.0012112270051147789,
                    0.001158799001132138,
                    0.0011327829997753724,
                    0.0012451310030883178,
                    0.0011066370061598718,
                    0.0016263190045719966,
                    0.0019698870019055903,
                    0.0022851770045235753,
                    0.0018242980004288256,
                    0.0015390730113722384,
                    0.0014299149916041642,
                    0.0014918969973223284,
                    0.001398111999151297,
                    0.0014690380048705265,
                    0.001442883993149735,
                    0.0016062049980973825,
                    0.001893303997348994,
                    0.0013467229873640463,
                    0.001903210999444127,
                    0.0021977660071570426,
                    0.0021073410025564954,
                    0.0015202909999061376,
                    0.0014630039950134233,
                    0.0014088580064708367,
                    0.0016538269992452115,
                    0.00305101799312979,
                    0.0030156829889165238,
                    0.003001754012075253,
                    0.0033664900111034513,
                    0.002846931995009072,
                    0.003093998006079346,
                    0.003075820000958629,
                    0.002791424994939007,
                    0.003084253999986686,
                    0.0027437520038802177,
                    0.0023837939952500165,
                    0.0012844659941038117,
                    0.001095344006898813,
                    0.0013202970003476366,
                    0.0012846750032622367,
                    0.001158883998868987,
                    0.001241475998540409,
                    0.001214566989801824,
                    0.001414037003996782,
                    0.0010843630007002503,
                    0.001082998001947999,
                    0.0010890619887504727,
                    0.0010620989924063906,
                    0.002482058000168763,
                    0.003335540008265525,
                    0.0033468840119894594,
                    0.003028641003766097,
                    0.003027069993549958,
                    0.0029766270017717034,
                    0.0027300439978716895,
                    0.0015828049945412204,
                    0.001731634998577647,
                    0.001807024993468076,
                    0.0016022449999582022,
                    0.0015074900002218783,
                    0.001990454999031499,
                    0.0014810239954385906,
                    0.0014978590043028817,
                    0.0013597099896287546,
                    0.0016246720042545348,
                    0.0015546520007774234,
                    0.0015058350109029561,
                    0.0014605869946535677,
                    0.0015127280057640746,
                    0.0020221700106048957,
                    0.0016060079942690209,
                    0.0016736940015107393,
                    0.0016799790028017014,
                    0.0012622429931070656,
                    0.0012005940079689026,
                    0.0019123489910271019,
                    0.0018720379885053262,
                    0.001786538996384479,
                    0.001587777995155193,
                    0.0015341569960583001,
                    0.002006623995839618,
                    0.0032662450103089213,
                    0.002807886994560249,
                    0.001993154000956565,
                    0.0042789889994310215,
                    0.0036615540011553094,
                    0.0018417769897496328,
                    0.0016709980118321255,
                    0.0021183429926168174,
                    0.001508453002315946,
                    0.002106644999003038,
                    0.0015733929903944954,
                    0.0016509150009369478,
                    0.0017964680009754375,
                    0.0014528519968735054,
                    0.0019555709877749905,
                    0.0016123819950735196,
                    0.0021271419973345473,
                    0.002766731005976908,
                    0.0025040449982043356,
                    0.003034767010831274,
                    0.0032783649949124083,
                    0.001978467989829369,
                    0.0015791259938850999,
                    0.0014438829966820776,
                    0.0014664320042356849,
                    0.003800662001594901,
                    0.0026896299968939275,
                    0.00165040600404609,
                    0.0034596649929881096,
                    0.0019008820090675727,
                    0.0029115710058249533,
                    0.00300715200137347,
                    0.0022153120080474764,
                    0.006830925995018333,
                    0.004786043995409273,
                    0.004595851001795381,
                    0.0036643310013459995,
                    0.0038671149959554896,
                    0.0038061399973230436,
                    0.004065503002493642,
                    0.003483988009975292,
                    0.0033678390027489513,
                    0.003326751000713557,
                    0.003274362999945879,
                    0.0048402579996036366,
                    0.004302966000977904,
                    0.004154381997068413,
                    0.0061517230060417205,
                    0.004834139996091835,
                    0.003831720008747652,
                    0.0019940659985877573,
                    0.0018260679935337976,
                    0.0035276560083730146,
                    0.004403718994581141,
                    0.0017558879917487502,
                    0.0017756180022843182,
                    0.0019268239993834868,
                    0.0018103449983755127,
                    0.00181929899554234,
                    0.0025752529909368604,
                    0.002394246999756433,
                    0.0022548159904545173,
                    0.0016390079981647432,
                    0.0014474009949481115,
                    0.003922269999748096,
                    0.004827166005270556,
                    0.00399672299681697,
                    0.0024343660043086857,
                    0.0022378669964382425,
                    0.0023838860070100054,
                    0.0019412499968893826,
                    0.0017708990053506568,
                    0.0022049190010875463,
                    0.0021301570086507127,
                    0.0021733650064561516,
                    0.0020894459885312244,
                    0.0018017580005107448,
                    0.0014795839961152524,
                    0.001383440991048701,
                    0.0015650389977963641,
                    0.001401336005073972,
                    0.0027390260074753314,
                    0.001873032990260981,
                    0.0018360690010013059,
                    0.0015146520017879084,
                    0.0014378060004673898,
                    0.0014601900038542226,
                    0.0014896369975758716,
                    0.0013584330008598045,
                    0.0014032839972060174,
                    0.0014545400044880807,
                    0.004034408993902616,
                    0.004286714000045322,
                    0.0046127399982651696,
                    0.0038104900013422593,
                    0.0040930719987954944,
                    0.0036350690061226487,
                    0.003481392006506212,
                    0.0037479110033018515,
                    0.004121273013879545,
                    0.0018073399987770244,
                    0.001399615008267574,
                    0.0014980190026108176,
                    0.0014464790001511574,
                    0.0016064530063886195,
                    0.0013107950071571395,
                    0.0014398930070456117,
                    0.0013077000039629638,
                    0.0013633820053655654,
                    0.0017691230023046955,
                    0.0041713599930517375,
                    0.003534694988047704,
                    0.003421405010158196,
                    0.0021259649947751313,
                    0.00206754999817349,
                    0.004265427007339895,
                    0.003655367996543646,
                    0.003603463002946228,
                    0.003009285996085964,
                    0.0062431330006802455,
                    0.00533287700091023,
                    0.0019427700026426464,
                    0.0019115589966531843,
                    0.002086581996991299,
                    0.004539678004221059,
                    0.002406747007626109,
                    0.0019524119998095557,
                    0.0018918540008598939,
                    0.0020836269977735355,
                    0.0022070400009397417,
                    0.0021508079953491688,
                    0.002426994004053995,
                    0.004687653010478243,
                    0.004214945001876913,
                    0.004464083001948893,
                    0.004097924989764579,
                    0.003968577002524398,
                    0.004241167000145651,
                    0.003925961995264515,
                    0.0021473139931913465,
                    0.003271043999120593,
                    0.00433653499931097,
                    0.004211646999465302,
                    0.0033893119980348274,
                    0.002117530006216839,
                    0.002129614003933966,
                    0.002906949011958204,
                    0.0015790960023878142,
                    0.0017535310034872964,
                    0.0018164719949709252,
                    0.0017069739988073707,
                    0.0018328709993511438,
                    0.0017672779940767214,
                    0.0022306310129351914,
                    0.0018771879986161366,
                    0.0019325650064274669,
                    0.0021436009992612526,
                    0.002228362995083444,
                    0.0016154970071511343,
                    0.0014263839984778315,
                    0.0013837750011589378,
                    0.0013210949982749298,
                    0.0016817630094010383,
                    0.002270998011226766,
                    0.001729963012621738,
                    0.0018569980020402,
                    0.0017082300037145615,
                    0.001694031001534313,
                    0.0018638780020410195,
                    0.0018387529999017715,
                    0.003004767990205437,
                    0.0019175689958501607,
                    0.002295041995239444,
                    0.010323593000066467,
                    0.00867696400382556,
                    0.004039036997710355,
                    0.003731108008651063,
                    0.009397415997227654,
                    0.004096474003745243,
                    0.003627144993515685,
                    0.004304376008803956,
                    0.0037475199933396652,
                    0.002500094997230917,
                    0.002223283998318948,
                    0.0022478359896922484,
                    0.0062251469935290515,
                    0.002543584007071331,
                    0.0025861360045382753,
                    0.0017542980058351532,
                    0.001548127009300515,
                    0.0015070919907884672,
                    0.0014820269861957058,
                    0.0030762189999222755,
                    0.0020332309941295534,
                    0.001679834007518366,
                    0.0015109780069906265,
                    0.001422939996700734,
                    0.0015066799969645217,
                    0.0014000710070831701,
                    0.0016158310027094558,
                    0.00381727798958309,
                    0.0031764019950060174,
                    0.0036507210024865344,
                    0.0035496409982442856,
                    0.0027868679899256676,
                    0.002648666995810345,
                    0.003899482006090693,
                    0.0029136590019334108,
                    0.0037518130120588467,
                    0.002691365996724926,
                    0.003215894990717061,
                    0.0019560340006137267,
                    0.002348006993997842,
                    0.0021071090013720095,
                    0.0018738700018730015,
                    0.0018425869930069894,
                    0.0022406249918276444,
                    0.0018316560017410666,
                    0.0018679319910006598,
                    0.0018803199927788228,
                    0.002143470002920367,
                    0.002469674000167288,
                    0.0020311539992690086,
                    0.0014886529970681295,
                    0.001849345993832685,
                    0.003679265995742753,
                    0.0022371039958670735,
                    0.002104298007907346,
                    0.00207054999191314,
                    0.0019411809917073697,
                    0.0019125460094073787,
                    0.0023657690035179257,
                    0.002038518010522239,
                    0.0017836100014392287,
                    0.0018522989994380623,
                    0.0019236959924455732,
                    0.002215957996668294,
                    0.0017471169994678348,
                    0.0017724179924698547,
                    0.0039696809981251135,
                    0.0036211370024830103,
                    0.003748511997400783,
                    0.002867144998162985,
                    0.004480135001358576,
                    0.003664300005766563,
                    0.0036712739965878427,
                    0.0034193270112155005,
                    0.002128125008312054,
                    0.0032833340083016083,
                    0.003829528999631293,
                    0.003490781004074961,
                    0.003940818991395645,
                    0.0038646449975203723,
                    0.0035314840060891584,
                    0.003423581991228275,
                    0.0036970509972888976,
                    0.0018980159948114306,
                    0.0020485599961830303,
                    0.0019001379987457767,
                    0.0020300059986766428,
                    0.0017659150034887716,
                    0.0017152439977508038,
                    0.0016914119914872572,
                    0.0018459769926266745,
                    0.001910128994495608,
                    0.004321291999076493,
                    0.004175162001047283,
                    0.0019527209951775149,
                    0.0015362639969680458,
                    0.0034455299901310354,
                    0.003294232999905944,
                    0.0018701929948292673,
                    0.0019295350066386163,
                    0.0017309099930571392,
                    0.0017315000004600734,
                    0.002018134997342713,
                    0.002100851997965947,
                    0.002272274999995716,
                    0.001990536999073811,
                    0.001976358995307237,
                    0.0019293359946459532,
                    0.0017257110011996701,
                    0.0018409539916319773,
                    0.0017067329899873585,
                    0.0017349729896523058,
                    0.0019480349874356762,
                    0.0017245229973923415,
                    0.0017669100052444264,
                    0.0016898000030778348,
                    0.0017296829901169986,
                    0.0016818189906189218,
                    0.0019394810078665614,
                    0.0017183870077133179,
                    0.0018006280006375164,
                    0.002219178990344517,
                    0.0021195340086705983,
                    0.001744230990880169,
                    0.0014479579986073077,
                    0.0014866809942759573,
                    0.0013801480090478435,
                    0.0012740929960273206,
                    0.0013021219929214567,
                    0.0014568949991371483,
                    0.0013185840070946142,
                    0.0014805249957134947,
                    0.0017992159991990775,
                    0.001661257992964238,
                    0.0017297010053880513,
                    0.0017046050052158535,
                    0.0017464230040786788,
                    0.0018124439957318828,
                    0.001705875009065494,
                    0.0016876029985724017,
                    0.0016278310067718849,
                    0.0013850399991497397,
                    0.0014421819942072034,
                    0.001267344006919302,
                    0.001451226999051869,
                    0.0014488979941233993,
                    0.0013407399965217337,
                    0.0013191660109441727,
                    0.0013784890034003183,
                    0.0019150840089423582,
                    0.001432906006812118,
                    0.0018693270103540272,
                    0.0016615399945294484,
                    0.001718258994515054,
                    0.001733811994199641,
                    0.0021738799987360835,
                    0.0019506840035319328,
                    0.0017364060040563345,
                    0.0015892040100879967,
                    0.002214585998444818,
                    0.001875314992503263,
                    0.0017138129915110767,
                    0.001593915992998518,
                    0.0017679300071904436,
                    0.0016940000059548765,
                    0.0015347590087912977,
                    0.0014007569989189506,
                    0.0013899190089432523,
                    0.0016318560083163902,
                    0.004021906992420554,
                    0.0034161869989475235,
                    0.0038489709986606613,
                    0.003674783991300501,
                    0.0033255890011787415,
                    0.0018638109904713929,
                    0.0016832840046845376,
                    0.001595438996446319,
                    0.0027072149969171733,
                    0.004642264000722207,
                    0.0034174630127381533,
                    0.002291980999871157,
                    0.002010393000091426,
                    0.0018002370052272454,
                    0.0012855659879278392,
                    0.0019539349887054414,
                    0.0017110939952544868,
                    0.001939301990205422,
                    0.0017231989913852885,
                    0.001705307004158385,
                    0.0016520380013389513,
                    0.0016365369956474751,
                    0.0017298140010097995,
                    0.0020558609976433218,
                    0.001870118998340331,
                    0.0018052200030069798,
                    0.002293147990712896,
                    0.0017632749950280413,
                    0.0018236619944218546,
                    0.0016921870119404048,
                    0.0018137040024157614,
                    0.001654494000831619,
                    0.0016886070079635829,
                    0.0022513010044349357,
                    0.0023401750077027828,
                    0.0018089749937644228,
                    0.0018027600017376244,
                    0.0016645029973005876,
                    0.0017997629911405966,
                    0.001720416999887675,
                    0.002114165006787516,
                    0.0018269610009156168,
                    0.002110722998622805,
                    0.002030408999416977,
                    0.001971240999409929,
                    0.0016861549956956878,
                    0.0014806010003667325,
                    0.0012718789948849007,
                    0.001252376998309046,
                    0.0016814809932839125,
                    0.0017253679980058223,
                    0.00453735601331573,
                    0.0031604999967385083,
                    0.0035308310034452006,
                    0.003437413994106464,
                    0.004450341002666391,
                    0.004046849993756041,
                    0.0021414649963844568,
                    0.0017120420088758692,
                    0.0018258689960930496,
                    0.0015212559956125915,
                    0.002287286988575943,
                    0.0018828539905371144,
                    0.001825974992243573,
                    0.0017298229940934107,
                    0.0018726400012383237,
                    0.0016987570124911144,
                    0.0016848100058268756,
                    0.0017519859975436702,
                    0.001663043993175961,
                    0.002066569999442436,
                    0.0018400210101390257,
                    0.0020243969920556992,
                    0.0014344950031954795,
                    0.0014808479900239035,
                    0.001296658010687679,
                    0.0014099179970799014,
                    0.0013506050017895177,
                    0.0015485059993807226,
                    0.0016194149939110503,
                    0.001803549996111542,
                    0.0017122209974331781,
                    0.001649304002057761,
                    0.0018834150105249137,
                    0.0017539049877086654,
                    0.0017048839945346117,
                    0.0016791269881650805,
                    0.0016581429954385385,
                    0.0019779739959631115,
                    0.0016994899924611673,
                    0.001853505993494764,
                    0.0014111979980953038,
                    0.001374202998704277,
                    0.0012694870092673227,
                    0.0015058600110933185,
                    0.0017769950063666329,
                    0.001257377996807918,
                    0.0014700079918839037,
                    0.002075260999845341,
                    0.0014232109970180318,
                    0.001796903001377359,
                    0.001796951997675933,
                    0.0016457739984616637,
                    0.0020339379989309236,
                    0.0014294839929789305,
                    0.0012994720018468797,
                    0.0013617049989989027,
                    0.0019058930047322065,
                    0.0029684250039281324,
                    0.0013685750018339604,
                    0.0012656399921979755,
                    0.0013028560060774907,
                    0.0014688720111735165,
                    0.0015264379908330739,
                    0.0013478570035658777,
                    0.001320821000263095,
                    0.001278976007597521,
                    0.0015170349943218753,
                    0.0015395889931824058,
                    0.0017699960008030757,
                    0.0015357049996964633,
                    0.0013209500029915944,
                    0.0013346579944482073,
                    0.0012379749969113618,
                    0.0019066389941144735,
                    0.0019259839900769293,
                    0.0017678320000413805,
                    0.0017622220038902014,
                    0.0017426709964638576,
                    0.0015947560023050755,
                    0.0016370579978683963,
                    0.0016221730038523674,
                    0.0017297589947702363,
                    0.0017150099884020165,
                    0.0016683489957358688,
                    0.0016683769936207682,
                    0.0021330749877961352,
                    0.0020831970032304525,
                    0.0019635560020105913,
                    0.0016567179991398007,
                    0.001621338989934884,
                    0.0016623429983155802,
                    0.0017138639959739521,
                    0.002227618999313563,
                    0.001982167988899164,
                    0.0019352059898665175,
                    0.0018976410065079108,
                    0.0014290539984358475,
                    0.0013655319926328957,
                    0.0014597749977838248,
                    0.0012655210011871532,
                    0.001268777996301651,
                    0.0012103629997000098,
                    0.002620692001073621,
                    0.004042062006192282,
                    0.003602483993745409,
                    0.0033160530001623556,
                    0.0033057160035241395,
                    0.0021545159979723394,
                    0.001583348013809882,
                    0.003376968001248315,
                    0.0035374869912629947,
                    0.0031666090071666986,
                    0.0032512320030946285,
                    0.0038302959874272346,
                    0.0037929789978079498,
                    0.003703637994476594,
                    0.003363914991496131,
                    0.003307573002530262,
                    0.0016834800044307485,
                    0.0016480339982081205,
                    0.0015650109999114648,
                    0.0015040209982544184,
                    0.0016134269972098991,
                    0.0015181449998635799,
                    0.0015458050038432702,
                    0.0015080250013852492,
                    0.0016569180006626993,
                    0.0021447360049933195,
                    0.0017355099989799783,
                    0.0014182629965944216,
                    0.0015177540044533089,
                    0.0013350380031624809,
                    0.0015197100001387298,
                    0.0014146230096230283,
                    0.0013841889885952696,
                    0.0012432280054781586,
                    0.001523558996268548,
                    0.0015568149974569678,
                    0.0014629580109613016,
                    0.0014859069924568757,
                    0.001210689006256871,
                    0.0012442519946489483,
                    0.001186852008686401,
                    0.0012573060084832832,
                    0.0012096309947082773,
                    0.0011589670029934496,
                    0.0012054980034008622,
                    0.0013157640059944242,
                    0.0011690440005622804,
                    0.0011644960031844676,
                    0.0016272969951387495,
                    0.0013095349859213457,
                    0.0013207349984440953,
                    0.0020791970018763095,
                    0.0038617919926764444,
                    0.0032974539935821667,
                    0.0034252529876539484,
                    0.0033653970021987334,
                    0.003118890992482193,
                    0.003183227003319189,
                    0.0031744559964863583,
                    0.0021859450062038377,
                    0.0016369339864468202,
                    0.0017086570005631074,
                    0.0017285919893765822,
                    0.0018515619885874912,
                    0.001578458002768457,
                    0.0016196950018638745,
                    0.0013719950075028464,
                    0.0011800939973909408,
                    0.0012129520036978647,
                    0.0031443460029549897,
                    0.001456751997466199,
                    0.001388485005008988,
                    0.0012876419932581484,
                    0.0012206809915369377,
                    0.0012513920082710683,
                    0.0013838510058121756,
                    0.0012784520076820627,
                    0.001285711012315005,
                    0.0014554139925166965,
                    0.001205349006340839,
                    0.0017065839929273352,
                    0.0013567760033765808,
                    0.0014563519944204018,
                    0.0017224090115632862,
                    0.002307829010533169,
                    0.001809487002901733,
                    0.0016257449897238985,
                    0.0015621709899278358,
                    0.0014645100018242374,
                    0.00207978900289163,
                    0.0016811870009405538,
                    0.0016487100074300542,
                    0.0017395090108038858,
                    0.0017686179926386103,
                    0.001978858999791555,
                    0.0017115380032919347,
                    0.0016358189895981923,
                    0.0016958290070760995,
                    0.0020866429986199364,
                    0.001743920991430059,
                    0.0031707199959782884,
                    0.003648437006631866,
                    0.0022514159936690703,
                    0.0017495070060249418,
                    0.0012569889950100332,
                    0.0019391839887248352,
                    0.0017160040006274357,
                    0.0016126800037454814,
                    0.0015769970050314441,
                    0.0016969800053630024,
                    0.001882302007288672,
                    0.0016158799990080297,
                    0.001690712000709027,
                    0.0017018959915731102,
                    0.001801104997866787,
                    0.0014381720102392137,
                    0.0013656009978149086,
                    0.0014380579959833995,
                    0.0012218549964018166,
                    0.0012449860078049824,
                    0.0012270159932086244,
                    0.0015886740002315491,
                    0.0014781930076424032,
                    0.0015621280035702512,
                    0.0012077809951733798,
                    0.001251996000064537,
                    0.0011883459956152365,
                    0.0012617880129255354,
                    0.0014001030067447573,
                    0.0012680660001933575,
                    0.0013004329957766458,
                    0.0012764669954776764,
                    0.0011991459905402735,
                    0.0012174189905636013,
                    0.0011781159992096946,
                    0.001288482002564706,
                    0.0014197819982655346,
                    0.0014602979936171323,
                    0.001262208999833092,
                    0.0013719920098083094,
                    0.0011879890080308542,
                    0.0011797059996752068,
                    0.0012956550053786486,
                    0.0012895230029243976,
                    0.0014315500011434779,
                    0.0014472060138359666,
                    0.0011860450031235814,
                    0.0011951979977311566,
                    0.001300723000895232,
                    0.001592647997313179,
                    0.0012729989975923672,
                    0.0012725840060738847,
                    0.0012793299974873662,
                    0.0011819600040325895,
                    0.0012142729974584654,
                    0.0011665459896903485,
                    0.0012172679998911917,
                    0.0012539610033854842,
                    0.00119660199561622,
                    0.0011719820031430572,
                    0.0012674070021603256,
                    0.0011826959962490946,
                    0.0015455340035259724,
                    0.0015481720038224012,
                    0.0015304499975172803,
                    0.0015341050020651892,
                    0.0016060810012277216,
                    0.0016110779979499057,
                    0.0015317840006900951,
                    0.001506546002929099,
                    0.0016039519978221506,
                    0.001508052009739913,
                    0.0014581559953512624,
                    0.00160197498917114,
                    0.0012538029986899346,
                    0.0012907750060549006,
                    0.0011985699966317043,
                    0.0012355409999145195,
                    0.0012309860030654818,
                    0.0011523499997565523,
                    0.0011728770041372627,
                    0.0011191520025022328,
                    0.0013636639923788607,
                    0.0011554730008356273,
                    0.003960771995480172,
                    0.0031881600007181987,
                    0.003394682993530296,
                    0.003062952993786894,
                    0.003625008001108654,
                    0.0029351459961617365,
                    0.0014025039999978617,
                    0.0013537509948946536,
                    0.0012035979889333248,
                    0.0012550039973575622,
                    0.0013380869932007045,
                    0.0015646819956600666,
                    0.0014537639945046976,
                    0.0012758550001308322,
                    0.0012592450075317174,
                    0.004091253998922184,
                    0.003427799994824454,
                    0.003366039993125014,
                    0.0032137309899553657,
                    0.004141616998822428,
                    0.002758918999461457,
                    0.003450965989031829,
                    0.0026856920012505725,
                    0.0014571539941243827,
                    0.0012483859900385141,
                    0.0017918029916472733,
                    0.0015571969997836277,
                    0.0027327729912940413,
                    0.002026544010732323,
                    0.0016526450053788722,
                    0.001550800006953068,
                    0.0017390360007993877,
                    0.0015773350023664534,
                    0.00203432199486997,
                    0.0013006789959035814,
                    0.0011980119888903573,
                    0.0012220490025356412,
                    0.0013252860080683604,
                    0.0013831230025971308,
                    0.001806018000934273,
                    0.001766134999343194,
                    0.0014917210064595565,
                    0.0011676249996526167,
                    0.0011920410033781081,
                    0.0012722070096060634,
                    0.0021015079983044416,
                    0.0013712279906030744,
                    0.001321333009400405,
                    0.0014352489961311221,
                    0.0012307600118219852,
                    0.0011964559962507337,
                    0.0013759749999735504,
                    0.0012073720135958865,
                    0.0012872549996245652,
                    0.0012169340043328702,
                    0.0012473899987526238,
                    0.001408700001775287,
                    0.0014086340088397264,
                    0.0011743899958673865,
                    0.0012800859985873103,
                    0.0014638209977420047,
                    0.0019504380034049973,
                    0.0015838480030652136,
                    0.0015763069968670607,
                    0.0014508659951388836,
                    0.0013638399977935478,
                    0.0011889689922099933,
                    0.003705554991029203,
                    0.001355732005322352,
                    0.0012244060053490102,
                    0.0012444619933376089,
                    0.0015607509994879365,
                    0.0015175979933701456,
                    0.0013004540087422356,
                    0.0013332169910427183,
                    0.001347437995718792,
                    0.0014835100009804592,
                    0.003582024000934325,
                    0.002955588002805598,
                    0.001278304000152275,
                    0.001489905989728868,
                    0.0015627499960828573,
                    0.0017806090036174282,
                    0.0015913550014374778,
                    0.0025312560028396547,
                    0.0025562600058037788,
                    0.00150024400500115,
                    0.001366493001114577,
                    0.0013343610044103116,
                    0.0017451110034016892,
                    0.001860478994785808,
                    0.0013632339978357777,
                    0.0013890810078009963,
                    0.001288989995373413,
                    0.003568642001482658,
                    0.003413593993172981,
                    0.00335126300342381,
                    0.003407465002965182,
                    0.002431739994790405,
                    0.0022928540129214525,
                    0.0013127420097589493,
                    0.001661622998653911,
                    0.001769684997270815,
                    0.002125252998666838,
                    0.001697443993180059,
                    0.0018330430029891431,
                    0.0016701480053598061,
                    0.0015677610062994063,
                    0.0015025169996079057,
                    0.0017067080043489113,
                    0.0012232400040375069,
                    0.0013616310025099665,
                    0.0012079430016456172,
                    0.0011932320048799738,
                    0.0011745489900931716,
                    0.0014223820035113022,
                    0.001933316991198808,
                    0.0014612829982070252,
                    0.002241708993096836,
                    0.00201427900174167,
                    0.001719482010230422,
                    0.001761640000040643,
                    0.001981118999538012,
                    0.0016836680006235838,
                    0.0015994910063454881,
                    0.0016726019966881722,
                    0.003274645991041325,
                    0.0034037570003420115,
                    0.0028889000095659867,
                    0.0012624660012079403,
                    0.0012803139979951084,
                    0.0014778729964746162,
                    0.001297062000958249,
                    0.0018992880068253726,
                    0.003760680992854759,
                    0.00345652099349536,
                    0.0026958410016959533,
                    0.0016975629987427965,
                    0.0018804360006470233,
                    0.003093206003541127,
                    0.002505459007807076,
                    0.001659094006754458,
                    0.002239540990558453,
                    0.0020440249936655164,
                    0.001767709996784106,
                    0.0016696249949745834,
                    0.0018946910131489858,
                    0.0025539490015944466,
                    0.004187549988273531,
                    0.003393213002709672,
                    0.0033110709919128567,
                    0.0036478690017247573,
                    0.0020023649994982406,
                    0.001558564996230416,
                    0.0015685210091760382,
                    0.0026021980011137202,
                    0.003096436004852876,
                    0.0012509439984569326,
                    0.002386817999649793,
                    0.003376748994924128,
                    0.003392404003534466,
                    0.0016778819990577176,
                    0.001721071996144019,
                    0.0015267400012817234,
                    0.0021164779900573194,
                    0.0037746969901490957,
                    0.003210967988707125,
                    0.0034015269920928404,
                    0.0031218240037560463,
                    0.003508458990836516,
                    0.002853327998309396,
                    0.0035390690027270466,
                    0.00196033000247553,
                    0.002849956988939084,
                    0.0015749510057503358,
                    0.003852955996990204,
                    0.003422665991820395,
                    0.0016160509985638782,
                    0.0035749230009969324,
                    0.0034431789972586557,
                    0.003616775997215882,
                    0.003180135987349786,
                    0.0033466379973106086,
                    0.0037995710008544847,
                    0.0036230560071999207,
                    0.0036800379893975332,
                    0.003364243995747529,
                    0.0036955719988327473,
                    0.003132794998236932,
                    0.00254553000559099,
                    0.0018946240015793592,
                    0.0016824429912958294,
                    0.0013136790075805038,
                    0.0012850969942519441,
                    0.00132778100669384,
                    0.0013493180013028905,
                    0.0018952270038425922,
                    0.0020229660003678873,
                    0.0018563789926702157,
                    0.0016848039958858863,
                    0.00157838300219737,
                    0.0015996220026863739,
                    0.001751831005094573,
                    0.001552675006678328,
                    0.0015559370076516643,
                    0.0017654200055403635,
                    0.0018545759958215058,
                    0.001862931007053703,
                    0.0017449849983677268,
                    0.0017739839968271554,
                    0.0018267620034748688,
                    0.001976155996089801,
                    0.0020355140004539862,
                    0.0018921790033346042,
                    0.0020990150078432634,
                    0.0016197299992199987,
                    0.0017269359959755093,
                    0.0016778990102466196,
                    0.0022680249967379496,
                    0.001720934989862144,
                    0.001609283994184807,
                    0.0016230890032602474,
                    0.001540140001452528,
                    0.001684282993664965,
                    0.0038044459943193942,
                    0.0033475070085842162,
                    0.0031101860076887533,
                    0.0032890659931581467,
                    0.003169809002429247,
                    0.003186189991538413,
                    0.0019184320117346942,
                    0.0016092209989437833,
                    0.0013374359987210482,
                    0.0012433509982656687,
                    0.0012018260022159666,
                    0.0012714069889625534,
                    0.0014481870020972565,
                    0.0015499080036533996,
                    0.001495406002504751,
                    0.0016090639983303845,
                    0.0019598939979914576,
                    0.001270917011424899,
                    0.0012609830009751022,
                    0.0015241450018947944,
                    0.001753122007357888,
                    0.0013513589947251603,
                    0.0012806869926862419,
                    0.0012508729996625334,
                    0.0011904529965249822,
                    0.0013313130039023235,
                    0.0023057500075083226,
                    0.00462266500107944,
                    0.0035754209966398776,
                    0.003304111000034027,
                    0.003155754995532334,
                    0.0034940780024044216,
                    0.002814300009049475,
                    0.0013656810042448342,
                    0.0013403619959717616,
                    0.0012264420074643567,
                    0.0012611669953912497,
                    0.0012300109956413507,
                    0.0014415909972740337,
                    0.00167217300622724,
                    0.0024798640079097822,
                    0.001370583995594643,
                    0.0016084109956864268,
                    0.0015729630104033276,
                    0.0014886559947626665,
                    0.0018315549968974665,
                    0.0012462430022424087,
                    0.0012206769897602499,
                    0.00135749600303825,
                    0.0015379889955511317,
                    0.0012227489933138713,
                    0.001562075995025225,
                    0.003332723004859872,
                    0.003450795993558131,
                    0.0033121479937108234,
                    0.0027958369901170954,
                    0.001381100999424234,
                    0.001251359994057566,
                    0.0019899680046364665,
                    0.010234269997454248,
                    0.0043907060025958344,
                    0.0018975279963342473,
                    0.0017073540075216442,
                    0.0017013030010275543,
                    0.0015900760045042261,
                    0.0016377230058424175,
                    0.0016815229901112616,
                    0.0015925619954941794,
                    0.001331797000602819,
                    0.0013132080057403073,
                    0.0012320270034251735,
                    0.0013229960022727028,
                    0.001977891006390564,
                    0.0013907789980294183,
                    0.0014561860007233918,
                    0.00136742799077183,
                    0.0013122380041750148,
                    0.0012698389909928665,
                    0.0015793039929121733,
                    0.0014774029987165704,
                    0.0013728420017287135,
                    0.001453421005862765,
                    0.0012515940034063533,
                    0.0017024350090650842,
                    0.0013711920037167147,
                    0.0013327899941941723,
                    0.0014833470049779862,
                    0.0013184400013415143,
                    0.0011947159946430475,
                    0.0019318609993206337,
                    0.0017094649956561625,
                    0.0016921010101214051,
                    0.0020499420061241835,
                    0.0015598540048813447,
                    0.0018195149896200746,
                    0.0016840199969010428,
                    0.0015924179897410795,
                    0.0018600899929879233,
                    0.0015631170099368319,
                    0.0016829189989948645,
                    0.0012854690139647573,
                    0.0011976200039498508,
                    0.0011525900044944137,
                    0.001235999006894417,
                    0.0012196519965073094,
                    0.0034165219985879958,
                    0.0033021889976225793,
                    0.003410611010622233,
                    0.003265485996962525,
                    0.0030652690038550645,
                    0.0037430659867823124,
                    0.00314124500437174,
                    0.0036621039907913655,
                    0.003451044001849368,
                    0.0033178630110342056,
                    0.0035671210061991587,
                    0.003419307991862297,
                    0.0020825870014959946,
                    0.001613920001545921,
                    0.0015570020041195676,
                    0.0016325159958796576,
                    0.0015241399960359558,
                    0.0024997389991767704,
                    0.0016364429902750999,
                    0.0015623209910700098,
                    0.001436150007066317,
                    0.0012661639921134338,
                    0.00134802600950934,
                    0.00141789999906905,
                    0.0013474269944708794,
                    0.00131823199626524,
                    0.0012084089976269752,
                    0.0012083219917258248,
                    0.0013394139969022945,
                    0.0015016309916973114,
                    0.0017168159974971786,
                    0.0018073289975291118,
                    0.0016266579914372414,
                    0.0015973999979905784,
                    0.001612670996109955,
                    0.0015111859975149855,
                    0.0015366730076493695,
                    0.001648445992032066,
                    0.001613862012163736,
                    0.0017621900042286143,
                    0.001223885003128089,
                    0.0012903510069008917,
                    0.0013930999994045123,
                    0.001235303992871195,
                    0.0013904960069339722,
                    0.0011991789942840114,
                    0.0012305919954087585,
                    0.0012088460061931983,
                    0.0011575620010262355,
                    0.001250145010999404,
                    0.0013008189998799935,
                    0.0011562869913177565,
                    0.001810255998861976,
                    0.0015826279995962977,
                    0.0015839140105526894,
                    0.001546818995848298,
                    0.0014823030069237575,
                    0.0014837250055279583,
                    0.0016007070080377162,
                    0.001568874009535648,
                    0.001540205004857853,
                    0.00190330199257005,
                    0.0016042860079323873,
                    0.0020504409912973642,
                    0.002439584000967443,
                    0.0016132360033225268,
                    0.0015792570047779009,
                    0.0015863309963606298,
                    0.0012580600014189258,
                    0.0011689590028254315,
                    0.001386903997627087,
                    0.001774321004631929,
                    0.0012166910019004717,
                    0.0014423329994315282,
                    0.001238099008332938,
                    0.0012002309958916157,
                    0.0011903759877895936,
                    0.0012946810020366684,
                    0.0012656699982471764,
                    0.001167046997579746,
                    0.0013334129907889292,
                    0.0011692219995893538,
                    0.0011712770065059885,
                    0.0015324559935834259,
                    0.0015278420032700524,
                    0.001590582003700547,
                    0.0019829719967674464,
                    0.001708735988358967,
                    0.0017700349999358878,
                    0.0016393860132666305,
                    0.0016511090070707723,
                    0.0016375879931729287,
                    0.0025055509904632345,
                    0.0017997959948843345,
                    0.002181450996431522,
                    0.002349574991967529,
                    0.001817001000745222,
                    0.002010005002375692,
                    0.0016692299977876246,
                    0.0015387980092782527,
                    0.003909092003596015,
                    0.0019399849988985807,
                    0.001863935001892969,
                    0.0017468919977545738,
                    0.0016855129942996427,
                    0.001578962997882627,
                    0.0013080789940431714,
                    0.0013162719988031313,
                    0.001591641004779376,
                    0.0017445800040150061,
                    0.0030850240000290796,
                    0.00356590400042478,
                    0.003315883004688658,
                    0.0030985530029283836,
                    0.001670101992203854,
                    0.0019173420005245134,
                    0.0016653450002195314,
                    0.0016241720004472882,
                    0.001653084997087717,
                    0.0017159400013042614,
                    0.0018865629972424358,
                    0.0016242639976553619,
                    0.0023859200009610504,
                    0.002215974993305281,
                    0.0035500359954312444,
                    0.004043364999233745,
                    0.00303181899653282,
                    0.0021643739892169833,
                    0.001879041999927722,
                    0.0017658569995546713,
                    0.003617406007833779,
                    0.0034926179941976443,
                    0.004489993996685371,
                    0.003270633998909034,
                    0.0037684069975512102,
                    0.0033365200069965795,
                    0.004200590003165416,
                    0.0035019420029129833,
                    0.0032526080030947924,
                    0.003274510003393516,
                    0.003273763009929098,
                    0.0037613460008287802,
                    0.0031582250085193664,
                    0.0033139020088128746,
                    0.003209918999345973,
                    0.003057993992115371,
                    0.0034982109937118366,
                    0.003209912989404984,
                    0.003243284998461604,
                    0.0030564640037482604,
                    0.0016748750058468431,
                    0.001993386002141051,
                    0.0021910729992669076,
                    0.003909530991222709,
                    0.003474989003734663,
                    0.0031218880030792207,
                    0.0032522990077268332,
                    0.0031579700007569045,
                    0.003155703001539223,
                    0.0032042120001278818,
                    0.0032162129937205464,
                    0.0031142399966483936,
                    0.0033325709955533966,
                    0.0036085100000491366,
                    0.003134679005597718,
                    0.003087118995608762,
                    0.0017830760043580085,
                    0.0012603969953488559,
                    0.0011693970009218901,
                    0.0014233810070436448,
                    0.0012993679993087426,
                    0.001162499000201933,
                    0.0013111110019963235,
                    0.001210700997035019,
                    0.001161453008535318,
                    0.002229665988124907,
                    0.0018537879950599745,
                    0.0019481769995763898,
                    0.0018412950012134388,
                    0.0019063570071011782,
                    0.0021114239934831858,
                    0.0014933500060578808,
                    0.0012347290030447766,
                    0.003453604003880173,
                    0.003483239997876808,
                    0.0024754719925113022,
                    0.00200989400036633,
                    0.002802318995236419,
                    0.0017240769957425073,
                    0.0013471040001604706,
                    0.0012998080055695027,
                    0.0012148899986641482,
                    0.001311991989496164,
                    0.0021379740064730868,
                    0.0014706049987580627,
                    0.001305149999097921,
                    0.0012157230084994808,
                    0.0020070239988854155,
                    0.001964467010111548,
                    0.0024637850001454353,
                    0.001591798005392775,
                    0.001690421995590441,
                    0.0014982499997131526,
                    0.0012041139998473227,
                    0.0014120589912636206,
                    0.0020086580043425784,
                    0.0024711590085644275,
                    0.001756762998411432,
                    0.0015369920001830906,
                    0.0015488780045416206,
                    0.0019183279946446419,
                    0.002391909991274588,
                    0.0015295030025299639,
                    0.001248262997251004,
                    0.0012972169934073463,
                    0.0012451389920897782,
                    0.0022910940024303272,
                    0.001819656987208873,
                    0.002098177996231243,
                    0.0020578109979396686,
                    0.0014474589988822117,
                    0.0015325620042858645,
                    0.0018719520012382418,
                    0.0012715689954347908,
                    0.0013022289931541309,
                    0.001261629004147835,
                    0.0014258759911172092,
                    0.0013811350072501227,
                    0.0016416650032624602,
                    0.0022429819946410134,
                    0.0013638830132549629,
                    0.0015325319982366636,
                    0.0014423510001506656,
                    0.0013507490075426176,
                    0.0014940699911676347,
                    0.0015423720033140853,
                    0.0014203949976945296,
                    0.0013051159912720323,
                    0.0013365149934543297,
                    0.0015341460093623027,
                    0.0015279460058081895,
                    0.002025994996074587,
                    0.0021242389921098948,
                    0.0018423330038785934,
                    0.0016357550048269331,
                    0.0016635089996270835,
                    0.0017749969993019477,
                    0.0020613490050891414,
                    0.001837264993810095,
                    0.0013076850009383634,
                    0.0011895850038854405,
                    0.0011946860031457618,
                    0.0011958219984080642,
                    0.001307533006183803,
                    0.0014403670065803453,
                    0.0011952049972023815,
                    0.001167505994089879,
                    0.0012579820031533018,
                    0.0012151470000389963,
                    0.0013782309979433194,
                    0.0016897539899218827,
                    0.0020058399968547747,
                    0.001981927009182982,
                    0.002031878990237601,
                    0.0015648789994884282,
                    0.0016250579938059673,
                    0.0015781960100866854,
                    0.0016427420050604269,
                    0.002070371003355831,
                    0.0018521910096751526,
                    0.0016388370131608099,
                    0.0015822429995751008,
                    0.0016258559917332605,
                    0.0018112190009560436,
                    0.001574784007971175,
                    0.0015948399959597737,
                    0.001584815006935969,
                    0.0017002370004775003,
                    0.0016935580060817301,
                    0.001763927997671999,
                    0.0018006640020757914,
                    0.0016225019935518503,
                    0.0016346109914593399,
                    0.0016300930001307279,
                    0.0018860990094253793,
                    0.0017033829935826361,
                    0.001685658993665129,
                    0.0016140880034072325,
                    0.0013738790003117174,
                    0.0012613799917744473,
                    0.001532479000161402,
                    0.0017381200013915077,
                    0.001215839001815766,
                    0.0012319980014581233,
                    0.0012652689911192283,
                    0.001216446005855687,
                    0.0011865430133184418,
                    0.0013289609923958778,
                    0.0022175250051077455,
                    0.0021964730112813413,
                    0.0018238549964735284,
                    0.0019242519920226187,
                    0.0018401410052319989,
                    0.002249276003567502,
                    0.0017774689913494512,
                    0.0015551300020888448,
                    0.001588145998539403,
                    0.0015280129882739857,
                    0.0020959640096407384,
                    0.0037260679964674637,
                    0.003303547011455521,
                    0.003326267993543297,
                    0.003396090993192047,
                    0.003239330995711498,
                    0.002925105989561416,
                    0.0016214070055866614,
                    0.0011957589886151254,
                    0.0013769280049018562,
                    0.0012383720022626221,
                    0.0012900599977001548,
                    0.001262071993551217,
                    0.001245073988684453,
                    0.0011955350055359304,
                    0.001227693006512709,
                    0.0011977579997619614,
                    0.0020706270006485283,
                    0.0023767630045767874,
                    0.0018228090048069134,
                    0.0013870359980501235,
                    0.0012889130011899397,
                    0.002315766003448516,
                    0.0025550290010869503,
                    0.0016822740144561976,
                    0.0020058899972354993,
                    0.001984472997719422,
                    0.0023440279910573736,
                    0.0018840409902622923,
                    0.003585304002626799,
                    0.003280107004684396,
                    0.0034326760069234297,
                    0.0033869439939735457,
                    0.0033600409951759502,
                    0.003096199012361467,
                    0.003136482002446428,
                    0.0032982120028464124,
                    0.0035266119957668707,
                    0.0032855659956112504,
                    0.003233365001506172,
                    0.0031878550071269274,
                    0.003169584000715986,
                    0.0033093829988501966,
                    0.001614419001271017,
                    0.0014105339942034334,
                    0.0012578939931700006,
                    0.0012965479982085526,
                    0.0028938719915458933,
                    0.0037429780059028417,
                    0.003907061007339507,
                    0.004380929996841587,
                    0.003400207991944626,
                    0.003211419010767713,
                    0.00335108999570366,
                    0.003593564993934706,
                    0.003462913999101147,
                    0.003455144993495196,
                    0.0031857469875831157,
                    0.003320402989629656,
                    0.0019804430048679933,
                    0.0013296039978740737,
                    0.001599741997779347,
                    0.0014557719987351447,
                    0.0012854509986937046,
                    0.0014463480038102716,
                    0.0013320649886736646,
                    0.0012356569932308048,
                    0.0012740680103888735,
                    0.0016593129985267296,
                    0.0016215549985645339,
                    0.001658052991842851,
                    0.0015481310110772029,
                    0.0016645660070935264,
                    0.001619964008568786,
                    0.0015531300014117733,
                    0.001501087986980565,
                    0.0014614920073654503,
                    0.0015189940022537485,
                    0.001770465009030886,
                    0.0026266990025760606,
                    0.003263740989496,
                    0.0034542139910627156,
                    0.00311109000176657,
                    0.002174314999138005,
                    0.0012602890055859461,
                    0.0011308929970255122,
                    0.0026450529985595495,
                    0.0033707069960655645,
                    0.0030079319985816255,
                    0.003293350004241802,
                    0.0029595539963338524,
                    0.0034798179985955358,
                    0.0013099899952067062,
                    0.0035575859947130084,
                    0.003116469000815414,
                    0.002223664996563457,
                    0.0015975240094121546,
                    0.0017468580044806004,
                    0.0012204189988551661,
                    0.002065331005724147,
                    0.0018669970013434067,
                    0.0016466309898532927,
                    0.0018749549926724285,
                    0.0017604230088181794,
                    0.0012125509965699166,
                    0.0011671329993987456,
                    0.0012896569969598204,
                    0.0011701629991875961,
                    0.0011694440036080778,
                    0.0011841550003737211,
                    0.002241513997432776,
                    0.0014080180117161945,
                    0.0013448029931169003,
                    0.0013711259962292388,
                    0.0011589159985305741,
                    0.002956576005090028,
                    0.002775849003228359,
                    0.002135720002115704,
                    0.0016339550056727603,
                    0.0018413700017845258,
                    0.001664978000917472,
                    0.0017788620025385171,
                    0.0017289120005443692,
                    0.0017763469950295985,
                    0.0036057850084034726,
                    0.002343447005841881,
                    0.002268394993734546,
                    0.0017563480068929493,
                    0.0019845489878207445,
                    0.002230094003607519,
                    0.0015982420009095222,
                    0.0014536030066665262,
                    0.001203862004331313,
                    0.00148638199607376,
                    0.0011981679999735206,
                    0.001292968008783646,
                    0.0012136259902035818,
                    0.0015224359958665445,
                    0.0018683889938984066,
                    0.0016410410025855526,
                    0.00140289100818336,
                    0.0013865020009689033,
                    0.0013766140036750585,
                    0.0011741939961211756,
                    0.0011938370007555932,
                    0.0038268100033747032,
                    0.004115022005862556,
                    0.003029943007277325,
                    0.0028335820097709075,
                    0.0026699189911596477,
                    0.0033260690106544644,
                    0.003882265998981893,
                    0.0030826799920760095,
                    0.001497105011367239,
                    0.0014039620000403374,
                    0.0014538769901264459,
                    0.0030316460033645853,
                    0.0033957480045501143,
                    0.004449286992894486,
                    0.0038380939950002357,
                    0.003559672011760995,
                    0.0033096190018113703,
                    0.0020075850043212995,
                    0.0038715709961252287,
                    0.003631537008914165,
                    0.0036806830030400306,
                    0.0015004180022515357,
                    0.001364021998597309,
                    0.0013011249975534156,
                    0.0020866310078417882,
                    0.003973707993282005,
                    0.0035116080107400194,
                    0.0034476909931981936,
                    0.0033008489990606904,
                    0.004235258005792275,
                    0.00340371900529135,
                    0.003178592989570461,
                    0.0035433979937806726,
                    0.0033775110059650615,
                    0.003185597000992857,
                    0.0034273950004717335,
                    0.0034837480052374303,
                    0.0031024140043882653,
                    0.0027088380011264235,
                    0.0012605769879883155,
                    0.0014206329942680895,
                    0.0013113500026520342,
                    0.001157093996880576,
                    0.0012784279970219359,
                    0.0011557389952940866,
                    0.0012339660024736077,
                    0.001231967005878687,
                    0.0012963879999006167,
                    0.0013005869986955076,
                    0.001558018004288897,
                    0.001250671994057484,
                    0.0011456469947006553,
                    0.0014835039910394698,
                    0.0017792669968912378,
                    0.0018514650000724941,
                    0.0022713700018357486,
                    0.0012529329978860915,
                    0.0013190860045142472,
                    0.001376218002405949,
                    0.001569157000631094,
                    0.001775513999746181,
                    0.0013811749959131703,
                    0.0013771850062767044,
                    0.0015076459967531264,
                    0.0014749260008102283,
                    0.0016060259949881583,
                    0.0018473130039637908,
                    0.0013325280015124008,
                    0.0013403330085566267,
                    0.0013430289982352406,
                    0.0016890289989532903,
                    0.001788512003258802,
                    0.0022020730102667585,
                    0.001981155000976287,
                    0.001411788005498238,
                    0.0016507209948031232,
                    0.0019427680090302601,
                    0.0027163060003658757,
                    0.0025860640016617253,
                    0.003179236999130808,
                    0.003724968002643436,
                    0.002077662997180596,
                    0.0015015069948276505,
                    0.0012526719947345555,
                    0.001198832003865391,
                    0.0012114169949200004,
                    0.00417130600544624,
                    0.0032031180016929284,
                    0.002497843001037836,
                    0.0020490449969656765,
                    0.0022543340019183233,
                    0.0013086010003462434,
                    0.001546707993838936,
                    0.0013550409930758178,
                    0.001299422001466155,
                    0.001549783002701588,
                    0.0015357509983005002,
                    0.0015277109923772514,
                    0.0029129110043868423,
                    0.0018517799908295274,
                    0.001695979997748509,
                    0.003503806990920566,
                    0.003330004998133518,
                    0.003212978001101874,
                    0.003812810013187118,
                    0.001809339999454096,
                    0.0017193770036101341,
                    0.0015774669882375747,
                    0.0013374740083236247,
                    0.0014060829998925328,
                    0.001474109012633562,
                    0.0013329829962458462,
                    0.001301318989135325,
                    0.0014723800122737885,
                    0.0028888100059702992,
                    0.0021582059998763725,
                    0.0016349099896615371,
                    0.0014783929946133867,
                    0.0012388030008878559,
                    0.0014246729988371953,
                    0.0011988820042461157,
                    0.0014316890010377392,
                    0.0018747819995041937,
                    0.0019537390035111457,
                    0.0013391569955274463,
                    0.0016543050005566329,
                    0.0016144380060723051,
                    0.0014133819931885228,
                    0.0015861260035308078,
                    0.0012544619967229664,
                    0.0014481599937425926,
                    0.001211497001349926,
                    0.0011994310043519363,
                    0.0012328279990470037,
                    0.0013139680086169392,
                    0.0017152479995274916,
                    0.0017735189903760329,
                    0.0012446440086932853,
                    0.0012642509973375127,
                    0.001278066003578715,
                    0.0012643199879676104,
                    0.0013471489946823567,
                    0.0016492040012963116,
                    0.0014113200013525784,
                    0.0012626020034076646,
                    0.001294686007895507,
                    0.0013490550045389682,
                    0.0025906789960572496,
                    0.0018404870061203837,
                    0.0017097170057240874,
                    0.0017834399914136156,
                    0.0016277760005323216,
                    0.0015835730009712279,
                    0.0016107300034491345,
                    0.0016355629923054948,
                    0.0015631900023436174,
                    0.001773112002410926,
                    0.0017973450012505054,
                    0.0015146160003496334,
                    0.0015486640040762722,
                    0.0016005689976736903,
                    0.0015699999930802733,
                    0.0014911489997757599,
                    0.0015605819935444742,
                    0.0015057909913593903,
                    0.0014841789961792529,
                    0.001621698000235483,
                    0.0015893700037850067,
                    0.0016746500041335821,
                    0.0018389220058452338,
                    0.0015223829977912828,
                    0.0014283799973782152,
                    0.0011812160082627088,
                    0.0026115270011359826,
                    0.00329938399954699,
                    0.0035746490029850975,
                    0.003302914003143087,
                    0.0031275009969249368,
                    0.0031785729952389374,
                    0.0037742620042990893,
                    0.003506630993797444,
                    0.00330654600111302,
                    0.003366901000845246,
                    0.0031446649954887107,
                    0.001500352009315975,
                    0.0012540339957922697,
                    0.001332565996563062,
                    0.0017974490037886426,
                    0.001618215988855809,
                    0.0015456249966518953,
                    0.001512940987595357,
                    0.0016093620070023462,
                    0.001532554000732489,
                    0.0016171549941645935,
                    0.0030995679990155622,
                    0.003471244010142982,
                    0.001381869995384477,
                    0.0017055310017894953,
                    0.0022810689988546073,
                    0.0013286949979374185,
                    0.0011571510112844408,
                    0.0020965410076314583,
                    0.0013072779984213412,
                    0.0025998890050686896,
                    0.0015328559966292232,
                    0.001827040992793627,
                    0.0013554510078392923,
                    0.001243437989614904,
                    0.0012492029927670956,
                    0.0013398610026342794,
                    0.0015926429914543405,
                    0.0034521929919719696,
                    0.0032440700015285984,
                    0.003600622992962599,
                    0.0035169990005670115,
                    0.003175755002303049,
                    0.0032716809946577996,
                    0.0031199479999486357,
                    0.002074731994071044,
                    0.0015429230115842074,
                    0.0012932990066474304,
                    0.0013249920011730865,
                    0.0011912530026165769,
                    0.0013188009907025844,
                    0.001274189999094233,
                    0.0012396389938658103,
                    0.0011790999997174367,
                    0.001256079995073378,
                    0.0012226649996591732,
                    0.0012967140064574778,
                    0.0013321860024007037,
                    0.0021512690000236034,
                    0.0015799880056874827,
                    0.0012953230034327134,
                    0.0014229650114430115,
                    0.0015966380015015602,
                    0.0012581810005940497,
                    0.0011878109944518656,
                    0.001236045005498454,
                    0.0011459539964562282,
                    0.0011760170018533245,
                    0.0012384620058583096,
                    0.0011635659902822226,
                    0.001851937995525077,
                    0.002008365001529455,
                    0.0020066779979970306,
                    0.0013978719944134355,
                    0.0015063220052979887,
                    0.0021473150118254125,
                    0.0018449369963491336,
                    0.0012588749959832057,
                    0.0014053949998924509,
                    0.0012675119942286983,
                    0.002032410993706435,
                    0.003384770010598004,
                    0.0036414130008779466,
                    0.003280553995864466,
                    0.002991951987496577,
                    0.00138367700856179,
                    0.0017280470055993646,
                    0.0019841929897665977,
                    0.0017407679988536984,
                    0.0016549940046388656,
                    0.0016549410065636039,
                    0.0017383689992129803,
                    0.0016167059948202223,
                    0.001623599004233256,
                    0.001609408005606383,
                    0.0017239570006495342,
                    0.0015323730040108785,
                    0.0013350370136322454,
                    0.0012511020031524822,
                    0.0012341419933363795,
                    0.001268930995138362,
                    0.0012714820040855557,
                    0.0013244599977042526,
                    0.0013531589938793331,
                    0.0013019339967286214,
                    0.0014447410067077726,
                    0.0013490989949787036,
                    0.0012927599891554564,
                    0.0014615760010201484,
                    0.0013028599933022633,
                    0.0011978519905824214,
                    0.0016092559962999076,
                    0.0013302309962455183,
                    0.0012251170119270682,
                    0.0012720550002995878,
                    0.0013359699951251969,
                    0.0012191169953439385,
                    0.0012959450104972348,
                    0.00134732699370943,
                    0.0014318989997263998,
                    0.0016586740093771368,
                    0.00161854199541267,
                    0.0022705230076098815,
                    0.0018101360037690029,
                    0.0018031939980573952,
                    0.0013306179898791015,
                    0.0015514209953835234,
                    0.0015628050023224205,
                    0.0015899739955784753,
                    0.0012391100026434287,
                    0.0023997969983611256,
                    0.0016309030033880845,
                    0.0013327950000530109,
                    0.0012379079998936504,
                    0.001207649998832494,
                    0.0012912249949295074,
                    0.0013245230074971914,
                    0.0013056229945505038,
                    0.0019622739928308874,
                    0.0017114350048359483,
                    0.0015704160032328218,
                    0.0018131620017811656,
                    0.0021936799894319847,
                    0.002104653001879342,
                    0.0028034310089424253,
                    0.0017286060028709471,
                    0.0014771389978704974,
                    0.0014615619875257835,
                    0.001572944995132275,
                    0.0013646239967783913,
                    0.001813950002542697,
                    0.0018698039930313826,
                    0.0012769790046149865,
                    0.0012539519957499579,
                    0.0015924639883451164,
                    0.0013317590055521578,
                    0.0017145969904959202,
                    0.001675651001278311,
                    0.0017036110075423494,
                    0.0016779220022726804,
                    0.0028917989984620363,
                    0.002471330008120276,
                    0.0014867680001771078,
                    0.0012909539946122095,
                    0.001830116001656279,
                    0.00194425399240572,
                    0.0019274929945822805,
                    0.001627891993848607,
                    0.0016579869989072904,
                    0.00414462000480853,
                    0.004094445001101121,
                    0.002360747996135615,
                    0.0016836519935168326,
                    0.0016498370096087456,
                    0.0015832719946047291,
                    0.0015019860002212226,
                    0.0016697630053386092,
                    0.0014455180062213913,
                    0.0015977949951775372,
                    0.002557611995143816,
                    0.0037306710000848398,
                    0.0035075999912805855,
                    0.0034028829977614805,
                    0.0019521659996826202,
                    0.001634663000004366,
                    0.0012960949970874935,
                    0.0013039449986536056,
                    0.0012654430029215291,
                    0.0013250470074126497,
                    0.0012752140028169379,
                    0.0014505729923257604,
                    0.0013451459963107482,
                    0.0012143109925091267,
                    0.0011884609994012862,
                    0.0014387489936780185,
                    0.0013738459965679795,
                    0.0014588560006814077,
                    0.00135002400202211,
                    0.0012943180045112967,
                    0.0012085780035704374,
                    0.0012041040026815608,
                    0.0012027980119455606,
                    0.0012566660006996244,
                    0.0011927509913221002,
                    0.0011885410058312118,
                    0.0015278899954864755,
                    0.0013905530067859218,
                    0.001839495002059266,
                    0.0016798349970486015,
                    0.0015883369924267754,
                    0.0017739989998517558,
                    0.0016843600024003536,
                    0.001731689990265295,
                    0.0016748900088714436,
                    0.0016076730098575354,
                    0.0015488710050703958,
                    0.003651708990219049,
                    0.0023220169969135895,
                    0.0019511569989845157,
                    0.0016181760001927614,
                    0.00199539698951412,
                    0.0017565779999131337,
                    0.00164708100783173,
                    0.001553555004647933,
                    0.002100872006849386,
                    0.0028435370040824637,
                    0.0020525360014289618,
                    0.0014288739912444726,
                    0.001291326989303343,
                    0.0015056179981911555,
                    0.00141500799509231,
                    0.001411454999470152,
                    0.0013948069972684607,
                    0.0018414530059089884,
                    0.0028450800018617883,
                    0.004104869003640488,
                    0.002438515002722852,
                    0.0015833210054552183,
                    0.001437144004739821,
                    0.0016848789964569733,
                    0.0047457610053243116,
                    0.0019884300127159804,
                    0.0017897329962579533,
                    0.0017249399970751256,
                    0.001697255007456988,
                    0.0016454409924335778,
                    0.0018262199882883579,
                    0.0015059699944686145,
                    0.001294503003009595,
                    0.001232203998370096,
                    0.0018011619977187365,
                    0.0018059669964713976,
                    0.0019470150000415742,
                    0.0016805360064608976,
                    0.0015887030021985993,
                    0.0016837049915920943,
                    0.001747554008034058,
                    0.0015989880048437044,
                    0.0017866340058390051,
                    0.0017530339973745868,
                    0.0019151800079271197,
                    0.001703412999631837,
                    0.0016497340111527592,
                    0.0016495120071340352,
                    0.0017762979987310246,
                    0.002318250000826083,
                    0.0035630530037451535,
                    0.0034094360016752034,
                    0.0017555400117998943,
                    0.0019266719900770113,
                    0.0017767649987945333,
                    0.001453214994398877,
                    0.003220216996851377,
                    0.0014686169888591394,
                    0.0013677179958904162,
                    0.0013829779927618802,
                    0.0019352149975020438,
                    0.001715896010864526,
                    0.0017490939935669303,
                    0.001709335992927663,
                    0.0016771639930084348,
                    0.0016898709873203188,
                    0.0018366790027357638,
                    0.0016785089974291623,
                    0.0016924460069276392,
                    0.0027354200137779117,
                    0.004281333007384092,
                    0.004945704000419937,
                    0.0023732740082778037,
                    0.0016800730081740767,
                    0.0036551910015987232,
                    0.0038917159981792793,
                    0.0025633439945522696,
                    0.0015178169996943325,
                    0.0016848850063979626,
                    0.0013199539971537888,
                    0.0012980609899386764,
                    0.001561827986733988,
                    0.001534347000415437,
                    0.0013135639892425388,
                    0.0014698949962621555,
                    0.002198190995841287,
                    0.001789878006093204,
                    0.002348434994928539,
                    0.002565504008089192,
                    0.00238338099734392,
                    0.0017562760040163994,
                    0.0016591059975326061,
                    0.0016695139929652214,
                    0.0013158189976820722,
                    0.003337652000482194,
                    0.003514707990689203,
                    0.003530930000124499,
                    0.0037114709994057193,
                    0.004779574999702163,
                    0.003925094002624974,
                    0.003048315003979951,
                    0.0015084189944900572,
                    0.00180312899465207,
                    0.0027479490090627223,
                    0.0032091330067487434,
                    0.0018681329966057092,
                    0.0017044989945134148,
                    0.0018028480117209256,
                    0.001665899995714426,
                    0.0020445010013645515,
                    0.0019509739940986037,
                    0.0020511379989329726,
                    0.002531548001570627,
                    0.0022637899965047836,
                    0.0018683119997149333,
                    0.0017486919969087467,
                    0.0018098470027325675,
                    0.0016844399942783639,
                    0.001694826001767069,
                    0.002567953008110635,
                    0.0017528040043544024,
                    0.0017178090056404471,
                    0.0019330479990458116,
                    0.0017344230000162497,
                    0.001843738995376043,
                    0.001870380001491867,
                    0.0017337939934805036,
                    0.002169138999306597,
                    0.0019103840022580698,
                    0.002009916992392391,
                    0.0015803170099388808,
                    0.0013680629926966503,
                    0.0015040169964777306,
                    0.0014617669949075207,
                    0.001337385008810088,
                    0.0013072279980406165,
                    0.001659403002122417,
                    0.0021559050073847175,
                    0.003970865000155754,
                    0.0036010330077260733,
                    0.0036168210062896833,
                    0.0036383690021466464,
                    0.0034054520074278116,
                    0.0020540559926303104,
                    0.0020422449888428673,
                    0.0018720410007517785,
                    0.0018680799985304475,
                    0.0020259809971321374,
                    0.0016684629954397678,
                    0.0017122769932029769,
                    0.0019931429997086525,
                    0.004745382000692189,
                    0.004056313002365641,
                    0.00534764101030305,
                    0.0036507359909592196,
                    0.0016129760042531416,
                    0.0013723300071433187,
                    0.0014101319975452498,
                    0.0021298819920048118,
                    0.001415188002283685,
                    0.0014039990055607632,
                    0.0014069219905650243,
                    0.001225621992489323,
                    0.0013026910019107163,
                    0.0019393299880903214,
                    0.0016328089986927807,
                    0.0013863289932487532,
                    0.0013108690036460757,
                    0.001320322000537999,
                    0.001287986000534147,
                    0.0012280530063435435,
                    0.032436267007142305,
                    0.03537012101151049,
                    0.00685093599895481,
                    0.0036315620091045275,
                    0.002023174994974397,
                    0.00256207499478478,
                    0.002304597001057118,
                    0.003832551999948919,
                    0.005486643000040203,
                    0.002493317995686084,
                    0.0032940480014076456,
                    0.005678550005541183,
                    0.006445384991820902,
                    0.0034176260087406263,
                    0.0027358099905541167,
                    0.0022533390001626685,
                    0.006929629991645925,
                    0.004116294003324583,
                    0.002326866000657901,
                    0.0016034299915190786,
                    0.002685945000848733,
                    0.004997071009711362,
                    0.0030774280021432787,
                    0.002254252991406247,
                    0.003568080996046774,
                    0.006777552000130527,
                    0.004839551998884417,
                    0.0026907360006589442,
                    0.0018855769885703921,
                    0.006937483994988725,
                    0.006127552012912929,
                    0.0030528650095220655,
                    0.0029206890030764043,
                    0.0020792750001419336,
                    0.0037850189983146265,
                    0.00223778399231378,
                    0.0027584650088101625,
                    0.003922452000551857,
                    0.0020073820051038638,
                    0.002129867993062362,
                    0.0028746829921146855,
                    0.0023324009962379932,
                    0.0020179709972580895,
                    0.0042421810067025945,
                    0.0021063690073788166,
                    0.002218384004663676,
                    0.0030368920124601573,
                    0.00195916899247095,
                    0.004739933996461332,
                    0.0024370690080104396,
                    0.002355814998736605,
                    0.003680300011183135,
                    0.0031695130019215867,
                    0.0023990629997570068,
                    0.002244521994725801,
                    0.0036560659937094897,
                    0.004102620994672179,
                    0.0018173090065829456,
                    0.0026510739990044385,
                    0.002048002992523834,
                    0.002018168001086451,
                    0.002509888989152387,
                    0.004040230996906757,
                    0.004620784995495342,
                    0.0027989869995508343,
                    0.0025737139949342236,
                    0.0046375679958146065,
                    0.004736476999823935,
                    0.0027833360072690994,
                    0.002325043999007903,
                    0.0017890820017782971,
                    0.001712602999759838,
                    0.003196566001861356,
                    0.0022819620062364265,
                    0.0023265880008693784,
                    0.005004295002436265,
                    0.002235755993751809,
                    0.0020202499872539192,
                    0.001994873004150577,
                    0.002924832995631732,
                    0.0040034580015344545,
                    0.004376308002974838,
                    0.0023332400014624,
                    0.002001485991058871,
                    0.0018233040027553216,
                    0.0024506920017302036,
                    0.008025199989788234,
                    0.002869259988074191,
                    0.002292414996190928,
                    0.0020275429997127503,
                    0.0026547279994701967,
                    0.00595731999783311,
                    0.0042656099976738915,
                    0.003059373004361987,
                    0.0038287229981506243,
                    0.005180064006708562,
                    0.004291976991225965,
                    0.002774374996079132,
                    0.0025455870054429397,
                    0.005210144998272881,
                    0.0041946559940697625,
                    0.002429724991088733,
                    0.002247348995297216,
                    0.003789099006098695,
                    0.003829868001048453,
                    0.006364209999446757,
                    0.006279466004343703,
                    0.003100752001046203,
                    0.0027055980026489124,
                    0.004342753003584221,
                    0.0033656110026640818,
                    0.0027065460017183796,
                    0.0032767969969427213,
                    0.003274404996773228,
                    0.00316349598870147,
                    0.003109336001216434,
                    0.0023133450013119727,
                    0.003343971009599045,
                    0.0030789290030952543,
                    0.0024912399967433885,
                    0.002483803007635288,
                    0.005867521002073772,
                    0.006342270004097372,
                    0.0032979899988276884,
                    0.005297623996739276,
                    0.004769909995957278,
                    0.0022320959978969768,
                    0.002103025995893404,
                    0.0023810880084056407,
                    0.002561143002822064,
                    0.0020318129973020405,
                    0.0025189430016325787,
                    0.005523054001969285,
                    0.004514699001447298,
                    0.00341639100224711,
                    0.004283258997020312,
                    0.004886818001978099,
                    0.002612807002151385,
                    0.003286756997113116,
                    0.0018160929903388023,
                    0.0019290089985588565,
                    0.006137759002740495,
                    0.006296334002399817,
                    0.005031870998209342,
                    0.007204444002127275,
                    0.004072151001309976,
                    0.0022370459919329733,
                    0.0034952590067405254,
                    0.0069808359985472634,
                    0.004627741989679635,
                    0.0032768349919933826,
                    0.0038552259939024225,
                    0.005828125998959877,
                    0.004599283987772651,
                    0.003863649006234482,
                    0.007144927003537305,
                    0.005495164004969411,
                    0.003944407988456078,
                    0.0035741460014833137,
                    0.004627019006875344,
                    0.003016595001099631,
                    0.006883905007271096,
                    0.0054710529948351905,
                    0.004641303006792441,
                    0.006747282997821458,
                    0.0053953890019329265,
                    0.00514513099915348,
                    0.011566475994186476,
                    0.004161442993790843,
                    0.00509741400310304,
                    0.0057946919987443835,
                    0.005226203997153789,
                    0.004627914997399785,
                    0.0046674530021846294,
                    0.0035434769961284474,
                    0.0016022370109567419,
                    0.0015804740105522797,
                    0.001539858989417553,
                    0.0014826179976807907,
                    0.0017255389975616708,
                    0.0015896039985818788,
                    0.0015601869963575155,
                    0.0015151929983403534,
                    0.0014433979958994314,
                    0.0014322229981189594,
                    0.0014301560004241765,
                    0.0014672089891973883,
                    0.0037206859997240826,
                    0.0015152679989114404,
                    0.0014077889936743304,
                    0.0017893189942697063,
                    0.001696393999736756,
                    0.0018779259989969432,
                    0.0015258969942806289,
                    0.001713122008368373,
                    0.002122824007528834,
                    0.001909505997900851,
                    0.0018503340106690302,
                    0.0015463589952560142,
                    0.0016889209946384653,
                    0.0017368190019624308,
                    0.001841782999690622,
                    0.0021867539908271283,
                    0.0021243509982014075,
                    0.0019157939968863502,
                    0.0017717629962135106,
                    0.0017316890007350594,
                    0.0020095079962629825,
                    0.001886087004095316,
                    0.0020592140062944964,
                    0.0019202140101697296,
                    0.0024055050016613677,
                    0.001963585993507877,
                    0.0018853920046240091,
                    0.001755660996423103,
                    0.0017368159897159785,
                    0.001901515992358327,
                    0.0019413309928495437,
                    0.0017576520040165633,
                    0.002244386007077992,
                    0.0017785000090952963,
                    0.0013438919995678589,
                    0.0013436349981930107,
                    0.0015700880030635744,
                    0.0014484340063063428,
                    0.00147223100066185,
                    0.0013908210094086826,
                    0.0018646940006874502,
                    0.002162880002288148,
                    0.0022997420019237325,
                    0.0030832399934297428,
                    0.0038659590063616633,
                    0.0037382779992185533,
                    0.0023588490003021434,
                    0.0021050450013717636,
                    0.0018053719977615401,
                    0.0020005099941045046,
                    0.001967199001228437,
                    0.0015629179979441687,
                    0.001285628997720778,
                    0.0013531909935409203,
                    0.001308531005633995,
                    0.0015801380068296567,
                    0.0037322330026654527,
                    0.002895868004998192,
                    0.004680900994571857,
                    0.003715722996275872,
                    0.0038455670000985265,
                    0.0028991919971304014,
                    0.002395939009147696,
                    0.003317565002362244,
                    0.003706572999362834,
                    0.0052090680110268295,
                    0.003994375001639128,
                    0.003792545001488179,
                    0.004076608005561866,
                    0.0037468800001079217,
                    0.005092968000099063,
                    0.0029185860039433464,
                    0.00264929499826394,
                    0.0024803940032143146,
                    0.002863522997358814,
                    0.0049049920053221285,
                    0.00427046199911274,
                    0.0029511360044125468,
                    0.002420737990178168,
                    0.005030088999774307,
                    0.0037488109956029803,
                    0.0034730360057437792,
                    0.0035008909908356145,
                    0.004729360996861942,
                    0.003932444000383839,
                    0.002060377999441698,
                    0.002243440001620911,
                    0.0019568300049286336,
                    0.001539641001727432,
                    0.002086617998429574,
                    0.0021928530040895566,
                    0.0015560540050501004,
                    0.0014099799882387742,
                    0.0013282170111779124,
                    0.0013416810106718913,
                    0.0019500390044413507,
                    0.0014336820022435859,
                    0.0019213749910704792,
                    0.001340533999609761,
                    0.002006701994105242,
                    0.0019836309948004782,
                    0.0014853509928798303,
                    0.0013677270035259426,
                    0.0013514029997168109,
                    0.0015150130057008937,
                    0.002150526997866109,
                    0.0014208129869075492,
                    0.0013968420098535717,
                    0.0013479010085575283,
                    0.002064723987132311,
                    0.0022627409925917163,
                    0.0017687549989204854,
                    0.0017785069940146059,
                    0.0017258829902857542,
                    0.0018052959931083024,
                    0.0014982769935159013,
                    0.0014471509930444881,
                    0.001403087007929571,
                    0.001273750007385388,
                    0.0013451460108626634,
                    0.0013649009924847633,
                    0.001514186995336786,
                    0.0018150729883927852,
                    0.00125558499712497,
                    0.001474189994041808,
                    0.0013182790135033429,
                    0.001345413998933509,
                    0.0012445699976524338,
                    0.0013543569948524237,
                    0.0015260170039255172,
                    0.0012328889861237258,
                    0.001312474996666424,
                    0.0012650879943976179,
                    0.0012873130035586655,
                    0.0012188309920020401,
                    0.0013334820105228573,
                    0.0013024720101384446,
                    0.0013788700016448274,
                    0.0013298529956955463,
                    0.0013072610017843544,
                    0.001290141008212231,
                    0.001222480001160875,
                    0.0012379599938867614,
                    0.0013037140015512705,
                    0.0028248180024093017,
                    0.002375793003011495,
                    0.002125213999534026,
                    0.0020839079952565953,
                    0.002357607998419553,
                    0.0020537670061457902,
                    0.001739759012707509,
                    0.002011784992646426,
                    0.0025683650019345805,
                    0.0022012309927958995,
                    0.0014049619931029156,
                    0.001357030007056892,
                    0.0013421920011751354,
                    0.0014656880084658042,
                    0.001289400999667123,
                    0.0028946800011908635,
                    0.002700928002013825,
                    0.00226162098988425,
                    0.0019341529987286776,
                    0.0015270800067810342,
                    0.0016857890004757792,
                    0.0013659630058100447,
                    0.0013613320043077692,
                    0.0012228920095367357,
                    0.0012172690039733425,
                    0.0013284610031405464,
                    0.0013449200050672516,
                    0.0029009429999860004,
                    0.0018035809916909784,
                    0.001643276002141647,
                    0.0015780910034663975,
                    0.0018132149998564273,
                    0.0018597369926283136,
                    0.0017045459971996024,
                    0.0017778139881556854,
                    0.0015844479930819944,
                    0.0024738640058785677,
                    0.0022919049952179193,
                    0.0015461720031453297,
                    0.001234420997207053,
                    0.001194418000523001,
                    0.0013437559973681346,
                    0.0011905410065082833,
                    0.001243178005097434,
                    0.0016088769916677848,
                    0.0015097119903657585,
                    0.0032631139911245555,
                    0.0017998910043388605,
                    0.001328099999227561,
                    0.0013304210006026551,
                    0.001455491001252085,
                    0.0012654360034503043,
                    0.001302969001699239,
                    0.0011955969966948032,
                    0.0011716279987012967,
                    0.0012281060044188052,
                    0.0013515519967768341,
                    0.0019568029965739697,
                    0.0033715059980750084,
                    0.003377146989805624,
                    0.003617467009462416,
                    0.003993329999502748,
                    0.0038730899977963418,
                    0.003452386998105794,
                    0.0037533950089709833,
                    0.0017199269932461902,
                    0.0021173610002733767,
                    0.0017802349902922288,
                    0.0019127030100207776,
                    0.0022979290079092607,
                    0.0017772210121620446,
                    0.0016938659973675385,
                    0.0019201809918740764,
                    0.0016160930099431425,
                    0.0032902730017667636,
                    0.0026576519885566086,
                    0.0027290209982311353,
                    0.0030535889964085072,
                    0.0021800620015710592,
                    0.0020571470085997134,
                    0.0036158720031380653,
                    0.0036993560061091557,
                    0.0050140579987782985,
                    0.0036339739890536293,
                    0.004319130006479099,
                    0.004687506007030606,
                    0.003975231986260042,
                    0.003724524998688139,
                    0.002146065002307296,
                    0.0021473240049090236,
                    0.002528494005673565,
                    0.005072508007287979,
                    0.005060273004346527,
                    0.003876834991388023,
                    0.0036042029969394207,
                    0.0035694880061782897,
                    0.00295448700489942,
                    0.0032444929966004565,
                    0.003418899010284804,
                    0.0035742600011872128,
                    0.0019050749979214743,
                    0.0021494960092240945,
                    0.0035847749968525022,
                    0.002596233010990545,
                    0.0016370939993066713,
                    0.0015330960013670847,
                    0.0014300749899121001,
                    0.002402944999630563,
                    0.002394964001723565,
                    0.0016103550005936995,
                    0.001283328005229123,
                    0.001286832004552707,
                    0.0013335749972611666,
                    0.001833777001593262,
                    0.001723144989227876,
                    0.0016556449991185218,
                    0.0015718029899289832,
                    0.0018332379986532032,
                    0.002919574995758012,
                    0.004084058993612416,
                    0.0034426230122335255,
                    0.0034635460033314303,
                    0.003719227999681607,
                    0.0036510589998215437,
                    0.0037398330023279414,
                    0.0033956779952859506,
                    0.0031606909906258807,
                    0.0038546559953829274,
                    0.002414371003396809,
                    0.0013198639935581014,
                    0.0013026800006628036,
                    0.001362391994916834,
                    0.0014146519970381632,
                    0.0012692849995801225,
                    0.0012509340012911707,
                    0.0013764260074822232,
                    0.0012387299939291552,
                    0.0017649270012043417,
                    0.0018772119947243482,
                    0.0017746890080161393,
                    0.0017053969932021573,
                    0.0016650569887133315,
                    0.0015732370084151626,
                    0.0016214999923249707,
                    0.00159145200450439,
                    0.0017218389984918758,
                    0.0012559329916257411,
                    0.0014407150010811165,
                    0.0013546340051107109,
                    0.001583850011229515,
                    0.0014012000028742477,
                    0.0013503180089173838,
                    0.0019054619915550575,
                    0.0013578840007539839,
                    0.0012266460107639432,
                    0.001384413000778295,
                    0.0018477679986972362,
                    0.0016458210011478513,
                    0.003926764999050647,
                    0.003936370005249046,
                    0.0035958719963673502,
                    0.003697549007483758,
                    0.003724681999301538,
                    0.003446888003963977,
                    0.0014470159949269146,
                    0.0013926889951108024,
                    0.0015161280025495216,
                    0.0013214829959906638,
                    0.0023035890044411644,
                    0.0021547009964706376,
                    0.004633472999557853,
                    0.0037084909999975935,
                    0.00392206700053066,
                    0.003219051010091789,
                    0.0014405130059458315,
                    0.0019261380075477064,
                    0.0020181989966658875,
                    0.0020362359937280416,
                    0.001433995013940148,
                    0.0013008899986743927,
                    0.0032832320139277726,
                    0.0018780029931804165,
                    0.0016234380018431693,
                    0.001563855999847874,
                    0.001844910002546385,
                    0.0018210840062238276,
                    0.0020327149977674708,
                    0.0013047700049355626,
                    0.0015060049918247387,
                    0.0013662580022355542,
                    0.0013114640023559332,
                    0.0012990399991394952,
                    0.0014940880064386874,
                    0.0016418560117017478,
                    0.0013343580067157745,
                    0.001245587001903914,
                    0.001404469003318809,
                    0.0013471879938151687,
                    0.0014812500012340024,
                    0.0017984559963224456,
                    0.0016240969998762012,
                    0.0014578989939764142,
                    0.001254050002899021,
                    0.0016292649961542338,
                    0.001563664001878351,
                    0.0012659350031754002,
                    0.003629422004451044,
                    0.003954145999159664,
                    0.0035415930033195764,
                    0.0033354799961671233,
                    0.0032486050040461123,
                    0.0018317079957341775,
                    0.003879825002513826,
                    0.0024459529959131032,
                    0.0014585799945052713,
                    0.0012583280040416867,
                    0.0013593240000773221,
                    0.0015654119924874976,
                    0.0013632459886139259,
                    0.0025791860098252073,
                    0.0022310639906208962,
                    0.0021574569982476532,
                    0.0022063520009396598,
                    0.0018174700089730322,
                    0.0017312120035057887,
                    0.0017188459896715358,
                    0.0016078320040833205,
                    0.0018545620114309713,
                    0.002757112990366295,
                    0.0020709370000986382,
                    0.0017957079980988055,
                    0.0019165080011589453,
                    0.001964723996934481,
                    0.0018399630062049255,
                    0.0017581629945198074,
                    0.0012287150020711124,
                    0.0020427569979801774,
                    0.0016727150068618357,
                    0.001515309006208554,
                    0.0014278580056270584,
                    0.0011777309991884977,
                    0.001298068993492052,
                    0.001208514004247263,
                    0.0013028690009377897,
                    0.0011993270018137991,
                    0.0012723109975922853,
                    0.0015587950038025156,
                    0.0012259979994269088,
                    0.0018853189976653084,
                    0.0017160810093628243,
                    0.0016109249991131946,
                    0.0016107089904835448,
                    0.0016801979945739731,
                    0.001593775989022106,
                    0.001703343994449824,
                    0.0015259290084941313,
                    0.0015286179987015203,
                    0.0016645299911033362,
                    0.0016177090001292527,
                    0.001796308992197737,
                    0.0012715500051854178,
                    0.001263450991245918,
                    0.0012876060063717887,
                    0.0012260369985597208,
                    0.0012528259976534173,
                    0.0013489929988281801,
                    0.0013258269900688902,
                    0.0011870250018546358,
                    0.001611490995856002,
                    0.0013106349942972884,
                    0.001603457989403978,
                    0.0020388190023368225,
                    0.0019093150040134788,
                    0.0014503709971904755,
                    0.001612745996681042,
                    0.001274516005651094,
                    0.0015366040024673566,
                    0.0016573120083194226,
                    0.002351742994505912,
                    0.0018710389995248988,
                    0.0037273859925335273,
                    0.003361213006428443,
                    0.003386662996490486,
                    0.003885372992954217,
                    0.004311137003242038,
                    0.0037734729994554073,
                    0.0034367579937679693,
                    0.0018141629989258945,
                    0.0017981929995585233,
                    0.0015831769997021183,
                    0.0016881549963727593,
                    0.0017266909999307245,
                    0.0019135080074192956,
                    0.0021211210114415735,
                    0.0017330020054941997,
                    0.0017137519898824394,
                    0.0017333750001853332,
                    0.0018678860069485381,
                    0.0044812289997935295,
                    0.0030150279926601797,
                    0.001668569995672442,
                    0.0014647119969595224,
                    0.002419156997348182,
                    0.0020982900023227558,
                    0.002308183000423014,
                    0.0016844580095494166,
                    0.003212145995348692,
                    0.0044197590032126755,
                    0.004064681997988373,
                    0.0018951700039906427,
                    0.0017954579961951822,
                    0.0015818760002730414,
                    0.002931242997874506,
                    0.0022061609925003722,
                    0.00236493899137713,
                    0.0017455380002502352,
                    0.001681197012658231,
                    0.001973649996216409,
                    0.001604165998287499,
                    0.002026677000685595,
                    0.0019429169915383682,
                    0.0015645270032109693,
                    0.0012695460027316585,
                    0.0012847429898101836,
                    0.0017406630067853257,
                    0.0016627419972792268,
                    0.0018373310012975708,
                    0.0012849089980591089,
                    0.0013056919997325167,
                    0.0012343810085440055,
                    0.0014979569969000295,
                    0.0017698610026855022,
                    0.0017045609856722876,
                    0.0018439150007907301,
                    0.001233023009262979,
                    0.0011980290000792593,
                    0.0014859370130579919,
                    0.0012576129956869408,
                    0.0014036789943929762,
                    0.001359535992378369,
                    0.001221471989993006,
                    0.0012011540093226358,
                    0.0014643270114902407,
                    0.0018679299973882735,
                    0.0018523839971749112,
                    0.0018751659954432398,
                    0.0016427649970864877,
                    0.0019112949958071113,
                    0.0013257490063551813,
                    0.0012585380027303472,
                    0.0013544999965233728,
                    0.0014042690017959103,
                    0.0013972209999337792,
                    0.001616688008653,
                    0.003678118999232538,
                    0.0017841179942479357,
                    0.001610649997019209,
                    0.001480006001656875,
                    0.0013968690036563203,
                    0.0013530870055546984,
                    0.0013463909999700263,
                    0.001386428004479967,
                    0.0014064050046727061,
                    0.0020162729924777523,
                    0.003955421008868143,
                    0.003944242998841219,
                    0.002140959011740051,
                    0.002440821990603581,
                    0.0014831910084467381,
                    0.002157201000954956,
                    0.002139695003279485,
                    0.003571282999473624,
                    0.001800062003894709,
                    0.0014009779988555238,
                    0.0014549130137311295,
                    0.0013790130033157766,
                    0.0012789299944415689,
                    0.004931506991852075,
                    0.002322596003068611,
                    0.001613586995517835,
                    0.003211519986507483,
                    0.0018763440020848066,
                    0.0012319170054979622,
                    0.0014936309889890254,
                    0.0012782409903593361,
                    0.002327055000932887,
                    0.00222953999764286,
                    0.001646636999794282,
                    0.0013930589921073988,
                    0.001266335995751433,
                    0.001337335997959599,
                    0.0012607170065166429,
                    0.0013459600013447925,
                    0.0013471040001604706,
                    0.001582885000971146,
                    0.0012790979963028803,
                    0.0012745249987347052,
                    0.0012825960002373904,
                    0.0013024759973632172,
                    0.001306128004216589,
                    0.0013023380015511066,
                    0.0012701710074907169,
                    0.0013675929949386045,
                    0.0013614700001198798,
                    0.0012762179976562038,
                    0.0012360620021354407,
                    0.0013467140088323504,
                    0.0014096969971433282,
                    0.001927979988977313,
                    0.0021805340074934065,
                    0.0018171799893025309,
                    0.001329577004071325,
                    0.0013275600067572668,
                    0.0015213880105875432,
                    0.0012568419915623963,
                    0.0014623839961132035,
                    0.001228081004228443,
                    0.0012122650077799335,
                    0.0027188950043637305,
                    0.003272230998845771,
                    0.00225740899622906,
                    0.0025841309980023652,
                    0.0019097979966318235,
                    0.0018393020000075921,
                    0.0020755430014105514,
                    0.001970090001123026,
                    0.002357553006731905,
                    0.0021918849961366504,
                    0.0018933800020022318,
                    0.0018753949989331886,
                    0.0014552670036209747,
                    0.0013560490042436868,
                    0.0013263849978102371,
                    0.00466598900675308,
                    0.0030294610041892156,
                    0.001466456989874132,
                    0.0015651459980290383,
                    0.0016142969980137423,
                    0.0015838449908187613,
                    0.001831948000472039,
                    0.0014685049973195419,
                    0.001354071995592676,
                    0.0012957930011907592,
                    0.0013890490081394091,
                    0.0024299359938595444,
                    0.002087724002194591,
                    0.001724380999803543,
                    0.0017046510038198903,
                    0.0017975920054595917,
                    0.0019641249964479357,
                    0.0016682000132277608,
                    0.0017928909946931526,
                    0.0017241070017917082,
                    0.0018226370011689141,
                    0.0018171010015066713,
                    0.0020220239966874942,
                    0.0017777290049707517,
                    0.002060165992588736,
                    0.001691208002739586,
                    0.0015826900053070858,
                    0.0014694199926452711,
                    0.0014254129928303882,
                    0.00192304200027138,
                    0.0023756570008117706,
                    0.0020943839917890728,
                    0.0024072660016827285,
                    0.0041894599999068305,
                    0.0025561790098436177,
                    0.0020845239923801273,
                    0.0022099839989095926,
                    0.0014896719949319959,
                    0.0016191600007005036,
                    0.0020982279966119677,
                    0.0020103300048504025,
                    0.002102574013406411,
                    0.0013859320024494082,
                    0.0015049469948280603,
                    0.0014640019944636151,
                    0.0018802130070980638,
                    0.0015954150003381073,
                    0.0015604430082021281,
                    0.0017428349965484813,
                    0.003864701997372322,
                    0.003452132994425483,
                    0.0021627990063279867,
                    0.001988855001400225,
                    0.001907122990814969,
                    0.0022016419970896095,
                    0.003781751001952216,
                    0.0036029229959240183,
                    0.0036316559999249876,
                    0.004652417992474511,
                    0.0028728680044878274,
                    0.0022447070077760145,
                    0.0033564870100235566,
                    0.003380363996257074,
                    0.003776501995162107,
                    0.003989491000538692,
                    0.0034754249936668202,
                    0.0029398830083664507,
                    0.001681681998888962,
                    0.002306878988747485,
                    0.0037320350093068555,
                    0.0022792009986005723,
                    0.002839480002876371,
                    0.0027050180069636554,
                    0.003476636004052125,
                    0.0027191819972358644,
                    0.002044948996626772,
                    0.0017797019972931594,
                    0.001795026008039713,
                    0.0018342779949307442,
                    0.0019185109995305538,
                    0.0017375459865434095,
                    0.0018504269974073395,
                    0.0023876380000729114,
                    0.0019100710051134229,
                    0.0019848719966830686,
                    0.0014882460091030225,
                    0.0013204310089349747,
                    0.001548843996715732,
                    0.001585680991411209,
                    0.0015556649887003005,
                    0.0015356479998445138,
                    0.0019198899972252548,
                    0.0032658890122547746,
                    0.004185867990599945,
                    0.00353618900408037,
                    0.0035354110004846007,
                    0.004176439004368149,
                    0.002191204999689944,
                    0.0019609810115071014,
                    0.001814028000808321,
                    0.002169652987504378,
                    0.0020400570065248758,
                    0.0023105779982870445,
                    0.0017859139916254207,
                    0.0032446440018247813,
                    0.001616178997210227,
                    0.0014063249982427806,
                    0.001427843002602458,
                    0.0016966379916993901,
                    0.0014254349953262135,
                    0.00175277900416404,
                    0.0016196349897654727,
                    0.0020825029932893813,
                    0.0018194790027337149,
                    0.0017646089982008561,
                    0.0021993459959048778,
                    0.0019722020078916103,
                    0.0022680870024487376,
                    0.0017484999989392236,
                    0.0022698440006934106,
                    0.004271022989996709,
                    0.00503612999455072,
                    0.005253148003248498,
                    0.002986953011713922,
                    0.0028151559963589534,
                    0.004000696004368365,
                    0.0014966619928600267,
                    0.001480922001064755,
                    0.0026304969942430034,
                    0.002205269003752619,
                    0.0029415229946607724,
                    0.002457904993207194,
                    0.0024996789870783687,
                    0.0035508470027707517,
                    0.0019906240049749613,
                    0.001734895005938597,
                    0.0015825669979676604,
                    0.0019017070007976145,
                    0.0013715599925490096,
                    0.0030769299919484183,
                    0.004092700008186512,
                    0.001809733992558904,
                    0.002344821987207979,
                    0.003119215994956903,
                    0.0017239349981537089,
                    0.002081154001643881,
                    0.003046977988560684,
                    0.0032137969974428415,
                    0.002321634005056694,
                    0.0020390080026118085,
                    0.0019242109992774203,
                    0.002941740007372573,
                    0.005596622999291867,
                    0.004784945005667396,
                    0.004696415999205783,
                    0.005406539014074951,
                    0.0025837099965428934,
                    0.002089257992338389,
                    0.002089210000121966,
                    0.004487908008741215,
                    0.005639474999043159,
                    0.0042927229951601475,
                    0.005020505006541498,
                    0.006408422006643377,
                    0.0040097110031638294,
                    0.0083956659946125,
                    0.004800566995982081,
                    0.0022103629889898,
                    0.00209247600287199,
                    0.0020184500026516616,
                    0.0022085829987190664,
                    0.0028758469998138025,
                    0.005162034998647869,
                    0.0040280799876200035,
                    0.0029403949883999303,
                    0.003969577999669127,
                    0.010758270000224002,
                    0.003049692008062266,
                    0.0026108609890798107,
                    0.00364710800931789,
                    0.005588908999925479,
                    0.005813459996716119,
                    0.004572702993755229,
                    0.004107189990463667,
                    0.004425696999533102,
                    0.003312242013635114,
                    0.001832812005886808,
                    0.001465723995352164,
                    0.0023916290083434433,
                    0.0021053360105725005,
                    0.002120586999808438,
                    0.003930013001081534,
                    0.0053618210076820105,
                    0.004760454001370817,
                    0.0047018519981065765,
                    0.004019031999632716,
                    0.0035454639873933047,
                    0.0032224129972746596,
                    0.0022529190027853474,
                    0.002267007002956234,
                    0.00213700499443803,
                    0.0020659290021285415,
                    0.0019384170009288937,
                    0.0020990870107198134,
                    0.0024500730069121346,
                    0.0040285800059791654,
                    0.003775700999540277,
                    0.0037417760031530634,
                    0.003540325997164473,
                    0.002760060000582598,
                    0.0020472289907047525,
                    0.001956231993972324,
                    0.0014374380116350949,
                    0.0015476109983865172,
                    0.0019393570109969005,
                    0.0014255569985834882,
                    0.0013599320081993937,
                    0.0013268879993120208,
                    0.001980991000891663,
                    0.005433861995697953,
                    0.004745129990624264,
                    0.003230503003578633,
                    0.0014798030024394393,
                    0.001950217003468424,
                    0.0017567699978826568,
                    0.0014988070033723488,
                    0.0015429120103362948,
                    0.0016783519968157634,
                    0.0020331370033090934,
                    0.0012908710050396621,
                    0.001412368001183495,
                    0.001294772999244742,
                    0.0013387210055952892,
                    0.0015726419951533899,
                    0.0017422780074412003,
                    0.0015819090040167794,
                    0.001387949989293702,
                    0.0012823059951188043,
                    0.0012523579935077578,
                    0.0014134640077827498,
                    0.0013712949876207858,
                    0.001951022000866942,
                    0.0013461319904308766,
                    0.0015548950032098219,
                    0.0017994800000451505,
                    0.001614429012988694,
                    0.0016020589973777533,
                    0.0019733000081032515,
                    0.0012684090033872053,
                    0.001315204004640691,
                    0.0012563619966385886,
                    0.001308684004470706,
                    0.0012850920029450208,
                    0.0016148669965332374,
                    0.0018743270047707483,
                    0.0015625539963366464,
                    0.0013354310067370534,
                    0.0015180460031842813,
                    0.0013459089968819171,
                    0.0017615149990888312,
                    0.0015327669971156865,
                    0.001730015006614849,
                    0.001712830999167636,
                    0.0033745050022844225,
                    0.0032486069976584986,
                    0.001790890994016081,
                    0.001883885997813195,
                    0.002372900999034755,
                    0.001348389996564947,
                    0.003160166001180187,
                    0.0013953500019852072,
                    0.0014296709996415302,
                    0.001376223997795023,
                    0.001579139003297314,
                    0.0014188200002536178,
                    0.0016633719933452085,
                    0.0020120870030950755,
                    0.0017547430034028366,
                    0.002729954998358153,
                    0.004963496990967542,
                    0.003400553992833011,
                    0.0017551740020280704,
                    0.0018278190109413117,
                    0.0029204890015535057,
                    0.003710985998623073,
                    0.0034667199943214655,
                    0.0035880789946531877,
                    0.002866750000976026,
                    0.0023162800061982125,
                    0.0017315400036750361,
                    0.0014296820008894429,
                    0.0013448359968606383,
                    0.0013500059867510572,
                    0.001240853001945652,
                    0.001322340001934208,
                    0.00449385899992194,
                    0.002373625000473112,
                    0.002104391998727806,
                    0.0020555860101012513,
                    0.0018465330067556351,
                    0.002161152006010525,
                    0.0024533590039936826,
                    0.001911852988996543,
                    0.003047833000891842,
                    0.0027589849923970178,
                    0.0015741160023026168,
                    0.001649910002015531,
                    0.00183142299647443,
                    0.0016747659974498674,
                    0.0017279709863942116,
                    0.0014427779969992116,
                    0.004506946002948098,
                    0.006912737007951364,
                    0.0016605790005996823,
                    0.0014270719984779134,
                    0.00248501799069345,
                    0.0024005339946597815,
                    0.002613251010188833,
                    0.001630284998100251,
                    0.0017221529997186735,
                    0.003776685000048019,
                    0.002084122010273859,
                    0.0022114349994808435,
                    0.0018544210033724084,
                    0.0020364029915072024,
                    0.0029708729998674244,
                    0.0020580919954227284,
                    0.0013146519922884181,
                    0.0013319990102900192,
                    0.001321760006248951,
                    0.0027364999987185,
                    0.0037039399903733283,
                    0.001837593998061493,
                    0.0015881519939284772,
                    0.0015775179927004501,
                    0.0018329730082768947,
                    0.001398402004269883,
                    0.0013891770067857578,
                    0.002024353001615964,
                    0.0018666260002646595,
                    0.002025608002441004,
                    0.0018636269960552454,
                    0.001686937001068145,
                    0.0017969820037251338,
                    0.0017287100054090843,
                    0.0016947240073932335,
                    0.0018746330024441704,
                    0.0020077060034964234,
                    0.0022998400090727955,
                    0.0023424750106642023,
                    0.001956721011083573,
                    0.0019745769968722016,
                    0.0016599980008322746,
                    0.0014243099867599085,
                    0.0020437869970919564,
                    0.0014372259902302176,
                    0.002107569991494529,
                    0.002028793009230867,
                    0.001796510987333022,
                    0.0017443730030208826,
                    0.001862454999354668,
                    0.0018770090100588277,
                    0.0021350989991333336,
                    0.0017024690023390576,
                    0.0016215850046137348,
                    0.003048007987672463,
                    0.0021127969957888126,
                    0.0018814009963534772,
                    0.0017428520077373832,
                    0.0013672439963556826,
                    0.0013494609884219244,
                    0.0012937279971083626,
                    0.001249755994649604,
                    0.0015191629936452955,
                    0.001249127002665773,
                    0.0017265120113734156,
                    0.0016709439951227978,
                    0.0014822180091869086,
                    0.002363761013839394,
                    0.0017726700025377795,
                    0.003144285990856588,
                    0.0036028050089953467,
                    0.003932646010071039,
                    0.004157852003118023,
                    0.0023669839865760878,
                    0.002298176012118347,
                    0.001776429999154061,
                    0.0016909380065044388,
                    0.001656403997913003,
                    0.0014528019964927807,
                    0.0016513099981239066,
                    0.0015782340051373467,
                    0.0013943170051788911,
                    0.0015971339889802039,
                    0.0013412590051302686,
                    0.0017138600087491795,
                    0.0012615620071301237,
                    0.0016285739984596148,
                    0.0013836909929523245,
                    0.001823751998017542,
                    0.0037666389980586246,
                    0.0016485939995618537,
                    0.0016483979998156428,
                    0.002116395000484772,
                    0.0016049660043790936,
                    0.0016894860018510371,
                    0.0015322139952331781,
                    0.0013048480032011867,
                    0.004801853006938472,
                    0.0025309600023319945,
                    0.002324975997908041,
                    0.002408929998637177,
                    0.002362581988563761,
                    0.0020878379873465747,
                    0.002868697003577836,
                    0.0031103810033528134,
                    0.0043694889900507405,
                    0.0035459020000416785,
                    0.0036239460023352876,
                    0.004008236006484367,
                    0.0035217779950471595,
                    0.0036549560027197003,
                    0.003358300993568264,
                    0.0035024849930778146,
                    0.0025075080047827214,
                    0.0019433260022196919,
                    0.0016634200001135468,
                    0.0017052570037776604,
                    0.0018950459925690666,
                    0.001824509003199637,
                    0.0017297610029345378,
                    0.001710311000351794,
                    0.004705265004304238,
                    0.0041742360044736415,
                    0.0035168140020687133,
                    0.003515468997647986,
                    0.0036685809900518507,
                    0.0037172410084167495,
                    0.003542919992469251,
                    0.003278029995271936,
                    0.003707737007061951,
                    0.0042407849978189915,
                    0.003805205997196026,
                    0.0036762679956154898,
                    0.003307504011900164,
                    0.003505783010041341,
                    0.0029410050046863034,
                    0.0018640189955476671,
                    0.0013231899938546121,
                    0.0013133470056345686,
                    0.001711095988866873,
                    0.0016349409997928888,
                    0.0033090049983002245,
                    0.002389624001807533,
                    0.002384681996772997,
                    0.004050813993671909,
                    0.00342465600988362,
                    0.003685618008603342,
                    0.004329324001446366,
                    0.003372411010786891,
                    0.002210177990491502,
                    0.004889681003987789,
                    0.0018407339957775548,
                    0.002148029991076328,
                    0.0018738890066742897,
                    0.002098545999615453,
                    0.001947142998687923,
                    0.0016975689941318706,
                    0.0017683710029814392,
                    0.0017712809931254014,
                    0.0018941960006486624,
                    0.0016611939936410636,
                    0.002076224991469644,
                    0.0016869279934326187,
                    0.0016850859974510968,
                    0.0016796620038803667,
                    0.001707094008452259,
                    0.002863085988792591,
                    0.0025471910048509017,
                    0.002298970997799188,
                    0.002752048007096164,
                    0.0038390900008380413,
                    0.004536596010439098,
                    0.0035087779979221523,
                    0.002184170007240027,
                    0.002814203005982563,
                    0.003843358004814945,
                    0.004657954996218905,
                    0.00389372200879734,
                    0.004104538995306939,
                    0.002196535002440214,
                    0.0024317029892699793,
                    0.0033251460117753595,
                    0.004026551003335044,
                    0.004431141001987271,
                    0.003025277008418925,
                    0.0022827439970569685,
                    0.001738033999572508,
                    0.0037798789999214932,
                    0.003805569009273313,
                    0.004409187997225672,
                    0.0030971770029282197,
                    0.002591868003946729,
                    0.0022617200011154637,
                    0.0015623130020685494,
                    0.0014759190089534968,
                    0.002773989996057935,
                    0.002621659994474612,
                    0.0019225800060667098,
                    0.0023009840078884736,
                    0.002734690991928801,
                    0.0026903799880528823,
                    0.004433918002177961,
                    0.0038746520003769547,
                    0.004349442999227904,
                    0.003003720994456671,
                    0.00219272100366652,
                    0.004772404005052522,
                    0.0023392599978251383,
                    0.002018227009102702,
                    0.0018632119899848476,
                    0.0017706270009512082,
                    0.002035690995398909,
                    0.00192677800077945,
                    0.001700098000583239,
                    0.0022813780087744817,
                    0.002093233008054085,
                    0.0022764470049878582,
                    0.0017276549915550277,
                    0.001642510003875941,
                    0.0014609850040869787,
                    0.001390744000673294,
                    0.0015092440007720143,
                    0.001820874007535167,
                    0.0035690710064955056,
                    0.00532096900860779,
                    0.004315250989748165,
                    0.0037024499906692654,
                    0.0024217270110966638,
                    0.0021645570086548105,
                    0.0027010009944206104,
                    0.004974800001946278,
                    0.0024566060019424185,
                    0.0023894379992270842,
                    0.0022855309944134206,
                    0.0018515150004532188,
                    0.001911890009068884,
                    0.0019553070014808327,
                    0.002041314000962302,
                    0.0019790829974226654,
                    0.0019201279937988147,
                    0.003316821006592363,
                    0.0027350519958417863,
                    0.0019595060002757236,
                    0.001910389997647144,
                    0.0019645849970402196,
                    0.001965579009265639,
                    0.0017852080054581165,
                    0.0019174339977325872,
                    0.005334569999831729,
                    0.003491296010906808,
                    0.002711880995775573,
                    0.0019421019969740883,
                    0.002165720987250097,
                    0.0025680089893285185,
                    0.006096910001360811,
                    0.005637761001707986,
                    0.003082683004322462,
                    0.004737510011182167,
                    0.004616329999407753,
                    0.004148261999944225,
                    0.004686933010816574,
                    0.004981386999133974,
                    0.00725783099187538,
                    0.0028470120014389977,
                    0.003873962996294722,
                    0.0035560120013542473,
                    0.003360176007845439,
                    0.005845061008585617,
                    0.005177954997634515,
                    0.002400743993348442,
                    0.00397425600385759,
                    0.002485520002664998,
                    0.0026382879877928644,
                    0.0025574830069672316,
                    0.0049662340024951845,
                    0.0032442709925817326,
                    0.0018246120016556233,
                    0.0015937630087137222,
                    0.0016438679886050522,
                    0.002601555999717675,
                    0.00202810499467887,
                    0.001999576998059638,
                    0.0019375030096853152,
                    0.0018808590102707967,
                    0.0018287779967067763,
                    0.0018981540051754564,
                    0.0027761990058934316,
                    0.0033500610006740317,
                    0.0028316899988567457,
                    0.001967339005204849,
                    0.0018302120006410405,
                    0.001800219004508108,
                    0.0018302550015505403,
                    0.0016606110002612695,
                    0.0013449199905153364,
                    0.002361168008064851,
                    0.001458065991755575,
                    0.0014819740026723593,
                    0.0014450969902100042,
                    0.001397093990817666,
                    0.0013759019930148497,
                    0.0019035549921682104,
                    0.0013517409970518202,
                    0.0020065309945493937,
                    0.0018208560068160295,
                    0.0016933409933699295,
                    0.0016053450090112165,
                    0.0013246960006654263,
                    0.0014757640019524843,
                    0.0015451159997610375,
                    0.001560331991640851,
                    0.001306203004787676,
                    0.0016068060067482293,
                    0.0019230890029575676,
                    0.0017449629958719015,
                    0.002001057000597939,
                    0.0028303700091782957,
                    0.0021790739992866293,
                    0.001724879999528639,
                    0.0020865219994448125,
                    0.004218162997858599,
                    0.001512003000243567,
                    0.0015148759994190186,
                    0.0016658389940857887,
                    0.002085935993818566,
                    0.003923239986761473,
                    0.0037898019945714623,
                    0.003972195001551881,
                    0.004331627002102323,
                    0.0037493200070457533,
                    0.00470346499059815,
                    0.003540488993166946,
                    0.003939819012884982,
                    0.0020197470003040507,
                    0.001770354007021524,
                    0.001735925005050376,
                    0.0015891119983280078,
                    0.0017746749945217744,
                    0.0012886990007245913,
                    0.0013112089945934713,
                    0.0013416769943432882,
                    0.0013906590029364452,
                    0.0015261709922924638,
                    0.0016310860082739964,
                    0.0017652480019023642,
                    0.0014330279955174774,
                    0.0016370240045944229,
                    0.0013867260131519288,
                    0.0013632999907713383,
                    0.0014566809986718,
                    0.0015326020075008273,
                    0.0016015419969335198,
                    0.0033206429943675175,
                    0.003930897990358062,
                    0.003919084992958233,
                    0.0033938169945031404,
                    0.003793668991420418,
                    0.001936288012075238,
                    0.0019845210044877604,
                    0.0024973889958346263,
                    0.001362409006105736,
                    0.0014457939978456125,
                    0.0013377879949985072,
                    0.0013487630058079958,
                    0.001237432996276766,
                    0.0012374189973343164,
                    0.0013833849952789024,
                    0.001282045996049419,
                    0.0013344299950404093,
                    0.001354708001599647,
                    0.002191688006860204,
                    0.0022383180039469153,
                    0.0016733360098442063,
                    0.0013294970121933147,
                    0.0013155689957784489,
                    0.001540719997137785,
                    0.0014673660043627024,
                    0.0015175930020632222,
                    0.0016276159876724705,
                    0.0016788890061434358,
                    0.00169047100644093,
                    0.0016364830080419779,
                    0.0016181230021174997,
                    0.0017013639881042764,
                    0.001619131988263689,
                    0.0016083600057754666,
                    0.0015402279968839139,
                    0.0017105900042224675,
                    0.003360359012731351,
                    0.00391423401015345,
                    0.0037214210024103522,
                    0.003572418005205691,
                    0.003593271001591347,
                    0.0019731960055651143,
                    0.0018869019986595958,
                    0.0012817499955417588,
                    0.001484052001615055,
                    0.0012261730007594451,
                    0.0011806619877461344,
                    0.0013222110137576237,
                    0.0014696699945488945,
                    0.0016903779905987903,
                    0.002861600005417131,
                    0.003712234989507124,
                    0.0033591760002309456,
                    0.004431877998285927,
                    0.0019138870120514184,
                    0.0021533679973799735,
                    0.0034903089981526136,
                    0.0035871769941877574,
                    0.004176310991169885,
                    0.004820268994080834,
                    0.009285798005294055,
                    0.004228285004501231,
                    0.00343832399812527,
                    0.0036848620075033978,
                    0.0034095209994120523,
                    0.003379505011253059,
                    0.0035416150058154017,
                    0.00390659699041862,
                    0.0037097460008226335,
                    0.0033958740095840767,
                    0.002956331998575479,
                    0.00229862799460534,
                    0.003574122005375102,
                    0.0034411200031172484,
                    0.0033754169999156147,
                    0.002337351004825905,
                    0.002477426009136252,
                    0.002131218003341928,
                    0.0020839759963564575,
                    0.0021818249952048063,
                    0.0018865519959945232,
                    0.0019003740017069504,
                    0.002159876996302046,
                    0.0016556139889871702,
                    0.001602603995706886,
                    0.0016768679925007746,
                    0.0015795810031704605,
                    0.0017197319975821301,
                    0.001841717996285297,
                    0.0017552200006321073,
                    0.0019582209934014827,
                    0.0017381640063831583,
                    0.0017182779993163422,
                    0.0017208860081154853,
                    0.0018155900033889338,
                    0.0019522560032783076,
                    0.002164602992706932,
                    0.0019912819989258423,
                    0.0021431869972730055,
                    0.0031806329934624955,
                    0.0016603740077698603,
                    0.001750572002492845,
                    0.0015623549988958985,
                    0.0021241560025373474,
                    0.0014802969963056967,
                    0.003476447003777139,
                    0.004867946001468226,
                    0.003098019995377399,
                    0.0017323350039077923,
                    0.001670582001679577,
                    0.0023704599880147725,
                    0.004300022992538288,
                    0.0021170490072108805,
                    0.0018226389947813004,
                    0.0022572899906663224,
                    0.0017452890024287626,
                    0.0016445729997940361,
                    0.0015942220052238554,
                    0.0018192630086559802,
                    0.0024674949963809922,
                    0.0021043239976279438,
                    0.002338844002224505,
                    0.0020908910082653165,
                    0.0018260210053995252,
                    0.002298117004102096,
                    0.0018330339953536168,
                    0.0016860290052136406,
                    0.002474838009220548,
                    0.002143171994248405,
                    0.0021152809931663796,
                    0.0014893049956299365,
                    0.0013986749981995672,
                    0.0013060409983154386,
                    0.0013090860011288896,
                    0.0012615330051630735,
                    0.0013531170116038993,
                    0.0034565170062705874,
                    0.0017833750025602058,
                    0.0015434950037160888,
                    0.0014778789918636903,
                    0.0013586909917648882,
                    0.00241813700995408,
                    0.0018794659990817308,
                    0.0018017839902313426,
                    0.007131136007956229,
                    0.002087703993311152,
                    0.0018437380058458075,
                    0.0020435590122360736,
                    0.0018054590036626905,
                    0.0021035769896116108,
                    0.003274885006248951,
                    0.004387831999338232,
                    0.003708525007823482,
                    0.004122593003557995,
                    0.0029781849880237132,
                    0.004264382005203515,
                    0.004091064998647198,
                    0.0037017909926362336,
                    0.003662549002910964,
                    0.004282417008653283,
                    0.0036515709944069386,
                    0.003637212998000905,
                    0.001961408997885883,
                    0.001801570993848145,
                    0.002851238998118788,
                    0.003951266000512987,
                    0.003680633002659306,
                    0.0036108929925831035,
                    0.003741906999493949,
                    0.004106234002392739,
                    0.0037219410005491227,
                    0.003834843009826727,
                    0.003626631005317904,
                    0.0036706359969684854,
                    0.0033648110111244023,
                    0.0038899780047358945,
                    0.003560785000445321,
                    0.003511505012284033,
                    0.003470647003268823,
                    0.0035423170047579333,
                    0.003333593995193951,
                    0.003284999998868443,
                    0.0034284220018889755,
                    0.0036075419920962304,
                    0.00355527299689129,
                    0.00341279900749214,
                    0.00319851899985224,
                    0.003465492991381325,
                    0.003752196003915742,
                    0.0029684369947062805,
                    0.0016065740055637434,
                    0.0015667559928260744,
                    0.00146999501157552,
                    0.0014739400066900998,
                    0.001388681004755199,
                    0.0027104670007247478,
                    0.0025856389984255657,
                    0.0017361119971610606,
                    0.0017010390001814812,
                    0.0015747839934192598,
                    0.0015018080011941493,
                    0.0016821489989524707,
                    0.0014750910049770027,
                    0.0015183939976850525,
                    0.0028677200025413185,
                    0.003650946993730031,
                    0.0020813330047531053,
                    0.0013529620046028867,
                    0.003450939999311231,
                    0.0034471580001991242,
                    0.003543775004800409,
                    0.0017848189891083166,
                    0.0014062800037208945,
                    0.0012837729882448912,
                    0.0012724279949907213,
                    0.0014257240109145641,
                    0.0012006420001853257,
                    0.0012902279995614663,
                    0.001246391999302432,
                    0.0012996699952054769,
                    0.0018994800047948956,
                    0.0017449519946239889,
                    0.0016767990018706769,
                    0.0017105570004787296,
                    0.0017223760078195482,
                    0.001682401998550631,
                    0.001954949999344535,
                    0.001258906995644793,
                    0.0012820869887946174,
                    0.001205442997161299,
                    0.0036790470039704815,
                    0.002205597993452102,
                    0.0021593179990304634,
                    0.001749401999404654,
                    0.0018230410059913993,
                    0.0017109700129367411,
                    0.0017042420076904818,
                    0.0020689919911092147,
                    0.0019346189947100356,
                    0.0017405370017513633,
                    0.0017737620073603466,
                    0.0017196630069520324,
                    0.0019162640091963112,
                    0.0016415510035585612,
                    0.0018002680008066818,
                    0.001643550000153482,
                    0.002540404995670542,
                    0.0021187859965721145,
                    0.0019157640053890646,
                    0.0017085479921661317,
                    0.001835347997257486,
                    0.0020405139948707074,
                    0.001343194002402015,
                    0.0014170759968692437,
                    0.0016164390108315274,
                    0.0013117280032020062,
                    0.0012908229982713237,
                    0.001434787001926452,
                    0.0014226880011847243,
                    0.0014384230016730726,
                    0.001571087006595917,
                    0.0014490809990093112,
                    0.0013355539995245636,
                    0.0016091419965960085,
                    0.0012818090035580099,
                    0.001869653002358973,
                    0.0012835559900850058,
                    0.001445015994249843,
                    0.00123715000518132,
                    0.0013826460053678602,
                    0.0017283039924222976,
                    0.0015703780081821606,
                    0.0015561929903924465,
                    0.001280805008718744,
                    0.0012993389973416924,
                    0.0012898529967060313,
                    0.0019563340028980747,
                    0.0014028079895069823,
                    0.0014178370038280264,
                    0.001311414991505444,
                    0.0016393969999626279,
                    0.0013764039904344827,
                    0.0012681709922617301,
                    0.0012785659928340465,
                    0.001312601991230622,
                    0.001356717009912245,
                    0.0012915409897686914,
                    0.0014451649913098663,
                    0.0012590270052896813,
                    0.0012515630078269169,
                    0.0012280209921300411,
                    0.001297900002100505,
                    0.0013847020018147305,
                    0.001647985991439782,
                    0.0015082269965205342,
                    0.0013716300018131733,
                    0.0013173839979572222,
                    0.0013413859996944666,
                    0.0013249430048745126,
                    0.0015182079951046035,
                    0.001639524009078741,
                    0.0012072459940100089,
                    0.0014099499967414886,
                    0.0012277850037207827,
                    0.0016434970020782202,
                    0.0044861060014227405,
                    0.003988612996181473,
                    0.0035121840046485886,
                    0.0034082420024788007,
                    0.0038964199920883402,
                    0.00431248800305184,
                    0.002896122998208739,
                    0.003592877008486539,
                    0.003887393992044963,
                    0.0035662309965118766,
                    0.0024463559966534376,
                    0.002161032010917552,
                    0.002056879995507188,
                    0.004625556000974029,
                    0.004803520001587458,
                    0.002665164996869862,
                    0.0017988449981203303,
                    0.0017995389935094863,
                    0.0016398939915234223,
                    0.0017034089978551492,
                    0.0016626349970465526,
                    0.001685189999989234,
                    0.0018627719982760027,
                    0.00408084099763073,
                    0.0034752720093820244,
                    0.0034887869987869635,
                    0.0024027629988268018,
                    0.0035764439962804317,
                    0.004293472011340782,
                    0.004289005999453366,
                    0.0021416189993033186,
                    0.0015286489942809567,
                    0.0019558490021154284,
                    0.002900288993259892,
                    0.0034435379930073395,
                    0.003456616002949886,
                    0.0033160500024678186,
                    0.003987439995398745,
                    0.0023761690099490806,
                    0.0018971730023622513,
                    0.0022137500054668635,
                    0.002543073002016172,
                    0.0037919979949947447,
                    0.0039693419967079535,
                    0.0038473009917652234,
                    0.003685438001411967,
                    0.0038237109984038398,
                    0.0035710560041479766,
                    0.003644796001026407,
                    0.002110652989358641,
                    0.0017844719986896962,
                    0.0016564700054004788,
                    0.0016474970034323633,
                    0.0025506439997116104,
                    0.001993632991798222,
                    0.0017978099931497127,
                    0.0019184150005457923,
                    0.001897148002171889,
                    0.0017120450065704063,
                    0.0017889690061565489,
                    0.0016850709944264963,
                    0.0021441390126710758,
                    0.0018805260042427108,
                    0.00169039198954124,
                    0.0017931780021172017,
                    0.002013531993725337,
                    0.0019509950070641935,
                    0.0018093929975293577,
                    0.001673899998422712,
                    0.002372809001826681,
                    0.0025587070122128353,
                    0.001960050009074621,
                    0.0012787909945473075,
                    0.0012703090033028275,
                    0.0014092330093262717,
                    0.0013787159987259656,
                    0.003469050003332086,
                    0.002154575995518826,
                    0.001422239001840353,
                    0.0014702439948450774,
                    0.0012544969940790907,
                    0.001338930000201799,
                    0.0012708930007647723,
                    0.001476715988246724,
                    0.001414942991686985,
                    0.0013502149959094822,
                    0.0013578249927377328,
                    0.0014650949888164178,
                    0.0018598870083224028,
                    0.0013984559918753803,
                    0.0014408160059247166,
                    0.0012557430018205196,
                    0.0013171640021027997,
                    0.00125026200839784,
                    0.001229564004461281,
                    0.0018522430036682636,
                    0.0014596139953937382,
                    0.0017807550029829144,
                    0.0014702059997944161,
                    0.0018602130003273487,
                    0.0018105630006175488,
                    0.001956870997673832,
                    0.0017566710012033582,
                    0.0016323739982908592,
                    0.001656370994169265,
                    0.002060754006379284,
                    0.002285652997670695,
                    0.003137744002742693,
                    0.0014186280022840947,
                    0.0015478449931833893,
                    0.0014010049926582724,
                    0.0015759759990032762,
                    0.0013878149911761284,
                    0.0013336609990801662,
                    0.0024273710005218163,
                    0.001878933995612897,
                    0.0015105200000107288,
                    0.0015788299933774397,
                    0.0015632389986421913,
                    0.0016844349884195253,
                    0.0012587579985847697,
                    0.0014052820042707026,
                    0.0012592800048878416,
                    0.0013358699943637475,
                    0.0018639589980011806,
                    0.001492606010288,
                    0.002098684009979479,
                    0.0013544200046453625,
                    0.0014077240048209205,
                    0.0013804369955323637,
                    0.0012741780083160847,
                    0.0013153259933460504,
                    0.0012513040128396824,
                    0.001409625998348929,
                    0.001262001009308733,
                    0.0011811059957835823,
                    0.0016673030040692538,
                    0.001501710998127237,
                    0.0014780049968976527,
                    0.0013733990053879097,
                    0.001264281992916949,
                    0.0012115270073991269,
                    0.001241655001649633,
                    0.0012265529949218035,
                    0.0012563490017782897,
                    0.0015368719905382022,
                    0.0013597910001408309,
                    0.0018142509943572804,
                    0.001733001001412049,
                    0.002036625999608077,
                    0.001739270010148175,
                    0.0018006350001087412,
                    0.0018031969957519323,
                    0.001747999995131977,
                    0.0015662290097679943,
                    0.0016854489949764684,
                    0.002071755996439606,
                    0.002336671997909434,
                    0.0014599379937862977,
                    0.0012899069988634437,
                    0.0013173640036256984,
                    0.0011908659944310784,
                    0.001169445997220464,
                    0.0012995760043850169,
                    0.0013890849950257689,
                    0.001317349000601098,
                    0.0015719790098955855,
                    0.0013499290071194991,
                    0.0015026360051706433,
                    0.0017402060038875788,
                    0.0016917020111577585,
                    0.00187538999307435,
                    0.0018961150053655729,
                    0.001534153998363763,
                    0.0012813110079150647,
                    0.0012646849936572835,
                    0.0015519830049015582,
                    0.0020024789992021397,
                    0.001809376000892371,
                    0.003655888998764567,
                    0.0035018280032090843,
                    0.0033073319937102497,
                    0.0033735559991328046,
                    0.004007387004094198,
                    0.0037432219978654757,
                    0.003263858990976587,
                    0.0027844540018122643,
                    0.003187377005815506,
                    0.003459219995420426,
                    0.0037779390113428235,
                    0.0038875070022186264,
                    0.0035370309924473986,
                    0.0035104330017929897,
                    0.0036033790092915297,
                    0.0040287159936269745,
                    0.002091450005536899,
                    0.001594479996128939,
                    0.0016424130008090287,
                    0.001534686001832597,
                    0.001555654002004303,
                    0.001729226001771167,
                    0.0018454630044288933,
                    0.0017528070020489395,
                    0.001588274011737667,
                    0.0018730259907897562,
                    0.0038764690107200295,
                    0.00339542499568779,
                    0.0025503659999230877,
                    0.0022537719924002886,
                    0.0017891989991767332,
                    0.0012393690121825784,
                    0.0025768119958229363,
                    0.00225538200174924,
                    0.0017331290000583977,
                    0.004544700001133606,
                    0.0019289830088382587,
                    0.0017068250017473474,
                    0.002150555999833159,
                    0.0013586440036306158,
                    0.001256785006262362,
                    0.001372487997286953,
                    0.0011775239981943741,
                    0.0011975030065514147,
                    0.0012131289986427873,
                    0.0011596149997785687,
                    0.0013879299949621782,
                    0.0017601090075913817,
                    0.0016867340018507093,
                    0.0018181389896199107,
                    0.0015843069995753467,
                    0.001425665002898313,
                    0.0014493600028799847,
                    0.0016192150069400668,
                    0.0012573310086736456,
                    0.0011414799955673516,
                    0.0012393719953252003,
                    0.0011507029994390905,
                    0.0014117259997874498,
                    0.0014647069911006838,
                    0.0015350529865827411,
                    0.0012753100018016994,
                    0.001327354009845294,
                    0.001155985999503173,
                    0.0011953360080951825,
                    0.001183272004709579,
                    0.001173028998891823,
                    0.0011492850026115775,
                    0.001160364001407288,
                    0.0012608089891728014,
                    0.001184032007586211,
                    0.0016864850040292367,
                    0.003040597992367111,
                    0.001724739995552227,
                    0.0014012080064276233,
                    0.0017043990083038807,
                    0.0012119230086682364,
                    0.0012517800059868023,
                    0.0012435139942681417,
                    0.001175587996840477,
                    0.0011940590047743171,
                    0.001326646000961773,
                    0.0013055650051683187,
                    0.001958312001079321,
                    0.0014699890016345307,
                    0.0019757699919864535,
                    0.003689813005621545,
                    0.003365936005138792,
                    0.002895707992138341,
                    0.0024893360096029937,
                    0.002164621007977985,
                    0.0037012249958934262,
                    0.003344076991197653,
                    0.0031856510031502694,
                    0.0029541060066549107,
                    0.0017424980032956228,
                    0.002144687998224981,
                    0.002672967006219551,
                    0.0018361520051257685,
                    0.0016257110110018402,
                    0.0015626569947926328,
                    0.001524036008049734,
                    0.0021362620027503,
                    0.0032206589967245236,
                    0.0021558630105573684,
                    0.0017265579954255372,
                    0.0013399329909589142,
                    0.0017422270029783249,
                    0.003939379996154457,
                    0.003767824004171416,
                    0.0036261090135667473,
                    0.002167943006497808,
                    0.0015011500072432682,
                    0.0012730670132441446,
                    0.0016675429942552,
                    0.0030278280028142035,
                    0.003205228000297211,
                    0.001409652002621442,
                    0.0012684999965131283,
                    0.0012713089963654056,
                    0.0013806209899485111,
                    0.0012970480020157993,
                    0.0012507719948189333,
                    0.0014971539931138977,
                    0.0019193720072507858,
                    0.003331679996335879,
                    0.0035387059906497598,
                    0.0013933949958300218,
                    0.0012576640001498163,
                    0.0012583189964061603,
                    0.0013359340082388371,
                    0.0013502859947038814,
                    0.0013206860021455213,
                    0.0018863199948100373,
                    0.0012682520027738065,
                    0.0015145509969443083,
                    0.0018812479975167662,
                    0.001836975003243424,
                    0.002131622997694649,
                    0.0016840629978105426,
                    0.0018213609873782843,
                    0.001627113000722602,
                    0.0018841799901565537,
                    0.0017091140034608543,
                    0.0021077080018585548,
                    0.0016792270034784451,
                    0.0016995349869830534,
                    0.0017087410087697208,
                    0.001654370003961958,
                    0.001683451991993934,
                    0.002005841990467161,
                    0.0016806140047265217,
                    0.001721972002997063,
                    0.0016349539946531877,
                    0.0017235460109077394,
                    0.002066120010567829,
                    0.0019545929972082376,
                    0.0017317609890596941,
                    0.0015958829899318516,
                    0.0024357710062758997,
                    0.00235331199655775,
                    0.0020826690015383065,
                    0.0016504530067322776,
                    0.0016479170008096844,
                    0.0016513260052306578,
                    0.001547322011901997,
                    0.0016225269937422127,
                    0.001596879999851808,
                    0.0011899660021299496,
                    0.0012109780072933063,
                    0.0012655659957090393,
                    0.001314255001489073,
                    0.0012318020017119125,
                    0.0012828080070903525,
                    0.0012560339964693412,
                    0.0013804269983666018,
                    0.001487294997787103,
                    0.0012467730120988563,
                    0.0013805400085402653,
                    0.00197662299615331,
                    0.0016848130035214126,
                    0.00165491399820894,
                    0.001573971996549517,
                    0.0015259799984050915,
                    0.001646427990635857,
                    0.0015543310000794008,
                    0.0016777780110714957,
                    0.001792023002053611,
                    0.0038597480015596375,
                    0.00355117600702215,
                    0.003538447999744676,
                    0.0033611319959163666,
                    0.00372495899500791,
                    0.0035345189971849322,
                    0.003557891002856195,
                    0.003812897004536353,
                    0.003923337004380301,
                    0.0038706470077158883,
                    0.004401482990942895,
                    0.0039369409932987764,
                    0.005359285001759417,
                    0.0019346390035934746,
                    0.0015178920002654195,
                    0.0013792160025332123,
                    0.0013044350052950904,
                    0.0014011580060468987,
                    0.0016510319983353838,
                    0.0014188560016918927,
                    0.001246223007910885,
                    0.002582501998404041,
                    0.0040216189954662696,
                    0.003606912010582164,
                    0.0035072680038865656,
                    0.0034729299950413406,
                    0.004206167999655008,
                    0.003401020003366284,
                    0.0033214580034837127,
                    0.0030838810052955523,
                    0.005015943999751471,
                    0.0037324910081224516,
                    0.003506427994580008,
                    0.003595037997001782,
                    0.002594136996776797,
                    0.0022439180029323325,
                    0.004672384005971253,
                    0.0036761119990842417,
                    0.0033806370047386736,
                    0.0032239970023510978,
                    0.0025397999997949228,
                    0.0016478820034535602,
                    0.0017929310124600306,
                    0.002176484005758539,
                    0.0017659720033407211,
                    0.001822460995754227,
                    0.0016911319980863482,
                    0.0015911189984763041,
                    0.0017479060043115169,
                    0.001574923997395672,
                    0.0012939459993503988,
                    0.0013500499917427078,
                    0.0012518010044004768,
                    0.0011887730070156977,
                    0.0012925409973831847,
                    0.0015442089934367687,
                    0.0018910840008175,
                    0.0018613680003909394,
                    0.001381344991386868,
                    0.0012220439966768026,
                    0.0014992579963291064,
                    0.0018184429936809465,
                    0.001702608002233319,
                    0.0019184150005457923,
                    0.0017830150027293712,
                    0.003249489003792405,
                    0.0045166159979999065,
                    0.0035206830070819706,
                    0.0025891060067806393,
                    0.0035552209883462638,
                    0.003764335997402668,
                    0.005078233007225208,
                    0.0020590940112015232,
                    0.0018400880071567371,
                    0.0016672939964337274,
                    0.0016694480000296608,
                    0.002354910990106873,
                    0.0017820360080804676,
                    0.0018024299934040755,
                    0.0016413769917562604,
                    0.0020520090038189664,
                    0.0035088299919152632,
                    0.0015807379968464375,
                    0.0015000020066509023,
                    0.0013033650029683486,
                    0.0012510200031101704,
                    0.001364087002002634,
                    0.001244148996192962,
                    0.0014228270010789856,
                    0.001258490010513924,
                    0.0014109750045463443,
                    0.0013269110058899969,
                    0.001521555008366704,
                    0.0012809289910364896,
                    0.002226408993010409,
                    0.002335333003429696,
                    0.0021184669894864783,
                    0.001960352004971355,
                    0.0015490110090468079,
                    0.0016750150098232552,
                    0.002017391991103068,
                    0.0020218209974700585,
                    0.0015450869977939874,
                    0.0012860309943789616,
                    0.0012651849974645302,
                    0.0015322810068028048,
                    0.0015497439890168607,
                    0.001354216001345776,
                    0.001210881004226394,
                    0.0011846979905385524,
                    0.00128335299086757,
                    0.0015844480076339096,
                    0.001967065007193014,
                    0.002081950005958788,
                    0.0019251570047345012,
                    0.001679254011833109,
                    0.0016965579998213798,
                    0.0015860389976296574,
                    0.002170879000914283,
                    0.001746380003169179,
                    0.001929425008711405,
                    0.0020181340078124776,
                    0.00191846200323198,
                    0.0019365460029803216,
                    0.0018582319898996502,
                    0.0016261369892163202,
                    0.0016412069962825626,
                    0.001608445993042551,
                    0.0015845430025365204,
                    0.002166698992368765,
                    0.00227669499872718,
                    0.0020096810039831325,
                    0.001580259995535016,
                    0.001957714994205162,
                    0.0019737490074476227,
                    0.001815125986468047,
                    0.001588341998285614,
                    0.0020098640088690445,
                    0.001810225992812775,
                    0.0021155760041438043,
                    0.002484034004737623,
                    0.0016442479973193258,
                    0.001820946010411717,
                    0.0015877440018812194,
                    0.0016005689976736903,
                    0.0018530679953983054,
                    0.0012519409938249737,
                    0.001224462001118809,
                    0.001281994002056308,
                    0.0011891129979630932,
                    0.0012244609970366582,
                    0.001291869004489854,
                    0.0013646830047946423,
                    0.001418818996171467,
                    0.0012050419900333509,
                    0.0014234109985409304,
                    0.0011948600003961474,
                    0.0016830629901960492,
                    0.001381305992254056,
                    0.0013593509938800707,
                    0.0017773110012058169,
                    0.0017412399902241305,
                    0.0016142579988809302,
                    0.0015945180057315156,
                    0.0017446190031478181,
                    0.0020703430054709315,
                    0.001673723993008025,
                    0.0038826809905003756,
                    0.0030037549877306446,
                    0.0023521059920312837,
                    0.002084327003103681,
                    0.0014961150009185076,
                    0.0012320550013100728,
                    0.0012520529999164864,
                    0.0015385639999294654,
                    0.0016668949974700809,
                    0.0015761070098960772,
                    0.0019467789970804006,
                    0.0019751610088860616,
                    0.001842336991103366,
                    0.0017747660021996126,
                    0.0018416649982100353,
                    0.001694160993793048,
                    0.0029764440114377066,
                    0.0033687450049910694,
                    0.004055484998389147,
                    0.003719567001098767,
                    0.004144599006394856,
                    0.0016748889902373776,
                    0.0012622560025192797,
                    0.0012621909991139546,
                    0.003851112996926531,
                    0.002261266010464169,
                    0.0016628439916530624,
                    0.0015635580057278275,
                    0.0019853809935739264,
                    0.0018053040112135932,
                    0.0017324900109088048,
                    0.0012446030013961717,
                    0.002787976001854986,
                    0.003489377995720133,
                    0.003309802006697282,
                    0.003551776011590846,
                    0.003924615011783317,
                    0.0041679900023154914,
                    0.003734547004569322,
                    0.003693500009831041,
                    0.002766403995337896,
                    0.002760506991762668,
                    0.0029969850002089515,
                    0.002083844010485336,
                    0.0018911859951913357,
                    0.002120991994161159,
                    0.0018784480053000152,
                    0.0023360439954558387,
                    0.0024174079881049693,
                    0.00245336999068968,
                    0.002163569995900616,
                    0.0022763519955333322,
                    0.0025793499953579158,
                    0.0036745840043295175,
                    0.0037212600000202656,
                    0.004159917996730655,
                    0.0029183830047259107,
                    0.001718339990475215,
                    0.0017216479900525883,
                    0.0016149069997482002,
                    0.0013269899936858565,
                    0.0013482020003721118,
                    0.001475705998018384,
                    0.0016047620010795072,
                    0.00199234600586351,
                    0.0025659160019131377,
                    0.002894263991038315,
                    0.0017508840101072565,
                    0.001796398006263189
                ],
                "count": 4532,
                "total": 9.947798325651092,
                "mean": 0.002195012869737664,
                "p50": 0.0017759580005076714,
                "p90": 0.003689393505919725,
                "p95": 0.004151015998650108,
                "p99": 0.005594231659488284,
                "stdev": 0.0012489574738222228,
                "stdev_": 56.89977908746802
            },
            "throughput": {
                "unit": "samples/s",
                "value": 911.1563889094779
            },
            "energy": null,
            "efficiency": null
        }
    }
}