{
    "config": {
        "name": "cpu_inference_transformers_text-generation_hf-internal-testing/tiny-random-LlamaForCausalLM",
        "backend": {
            "name": "pytorch",
            "version": "2.5.1+cpu",
            "_target_": "optimum_benchmark.backends.pytorch.backend.PyTorchBackend",
            "task": "text-generation",
            "library": "transformers",
            "model_type": "llama",
            "model": "hf-internal-testing/tiny-random-LlamaForCausalLM",
            "processor": "hf-internal-testing/tiny-random-LlamaForCausalLM",
            "device": "cpu",
            "device_ids": null,
            "seed": 42,
            "inter_op_num_threads": null,
            "intra_op_num_threads": null,
            "model_kwargs": {},
            "processor_kwargs": {},
            "no_weights": true,
            "device_map": null,
            "torch_dtype": null,
            "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": 1,
            "duration": 1,
            "warmup_runs": 1,
            "input_shapes": {
                "batch_size": 2,
                "sequence_length": 16,
                "num_choices": 2
            },
            "new_tokens": null,
            "memory": true,
            "latency": true,
            "energy": true,
            "forward_kwargs": {},
            "generate_kwargs": {
                "max_new_tokens": 2,
                "min_new_tokens": 2
            },
            "call_kwargs": {
                "num_inference_steps": 2
            }
        },
        "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": " AMD EPYC 7763 64-Core Processor",
            "cpu_count": 4,
            "cpu_ram_mb": 16766.779392,
            "system": "Linux",
            "machine": "x86_64",
            "platform": "Linux-6.8.0-1017-azure-x86_64-with-glibc2.39",
            "processor": "x86_64",
            "python_version": "3.10.15",
            "optimum_benchmark_version": "0.5.0.dev0",
            "optimum_benchmark_commit": "eb0d20f627fc9f70b626fe236a910757019c63c7",
            "transformers_version": "4.47.0",
            "transformers_commit": null,
            "accelerate_version": "1.2.0",
            "accelerate_commit": null,
            "diffusers_version": "0.31.0",
            "diffusers_commit": null,
            "optimum_version": null,
            "optimum_commit": null,
            "timm_version": "1.0.12",
            "timm_commit": null,
            "peft_version": null,
            "peft_commit": null
        },
        "print_report": true,
        "log_report": true
    },
    "report": {
        "load_model": {
            "memory": {
                "unit": "MB",
                "max_ram": 475.553792,
                "max_global_vram": null,
                "max_process_vram": null,
                "max_reserved": null,
                "max_allocated": null
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.047350420999975995
                ],
                "count": 1,
                "total": 0.047350420999975995,
                "mean": 0.047350420999975995,
                "p50": 0.047350420999975995,
                "p90": 0.047350420999975995,
                "p95": 0.047350420999975995,
                "p99": 0.047350420999975995,
                "stdev": 0,
                "stdev_": 0
            },
            "throughput": null,
            "energy": {
                "unit": "kWh",
                "cpu": 0.0001293491456833326,
                "ram": 5.4097398200618665e-06,
                "gpu": 0,
                "total": 0.00013475888550339447
            },
            "efficiency": null
        },
        "prefill": {
            "memory": {
                "unit": "MB",
                "max_ram": 484.335616,
                "max_global_vram": null,
                "max_process_vram": null,
                "max_reserved": null,
                "max_allocated": null
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.004470311000034144,
                    0.00449523700001464,
                    0.004458017999979802,
                    0.004466484000033688,
                    0.004493184000011752,
                    0.004594721999978901,
                    0.004614359000015611,
                    0.00456057899998541,
                    0.004480188999991697,
                    0.004486821000000418,
                    0.00459538400002657,
                    0.0043868349999911516,
                    0.00442788200001587,
                    0.004434845000048426,
                    0.004527768000002652,
                    0.004443449999996574,
                    0.00409620300001734,
                    0.004077819000031013,
                    0.004081456999983857,
                    0.0045095439999727205,
                    0.004519322000021475,
                    0.004493114000013065,
                    0.004505024999957641,
                    0.0044703710000248975,
                    0.00445401999996875,
                    0.0044495419999748265,
                    0.004490968999959932,
                    0.004542495999999119,
                    0.004518199999949957,
                    0.0044696499999759,
                    0.004449002000001201,
                    0.004489577000015288,
                    0.0045815179999522115,
                    0.004495186999974976,
                    0.004512228999999479,
                    0.0043974349999871265,
                    0.004358953999997084,
                    0.0044240150000405265,
                    0.004357018999996853,
                    0.004412843000011435,
                    0.004287410000017644,
                    0.004043795999962185,
                    0.0040564290000020264,
                    0.004242425999962052,
                    0.004636300000015581,
                    0.004622344000040357,
                    0.004739913000037177,
                    0.0044896960000073705,
                    0.0043276449999893885,
                    0.004367027999990114,
                    0.0044211890000269705,
                    0.004425017000016851,
                    0.004427782000050229,
                    0.004475038999999015,
                    0.004511406999995415,
                    0.00448011899999301,
                    0.004417192000005343,
                    0.004390992999958598,
                    0.0045048850000171115,
                    0.0045037630000024365,
                    0.00462154299998474,
                    0.004416359999993347,
                    0.004275135999989743,
                    0.004372928999998749,
                    0.004566339999996671,
                    0.004595763999986957,
                    0.0045611900000039896,
                    0.0045162160000131735,
                    0.004727268999999978,
                    0.004662177999989581,
                    0.004625851000014336,
                    0.004661177000002681,
                    0.0046642120000228715,
                    0.004609329999993861,
                    0.0044629269999632015,
                    0.004395741999985603,
                    0.004461143000014545,
                    0.004495768000026601,
                    0.004472495000015897,
                    0.004512199999965105,
                    0.00458187800001042,
                    0.004425346999994417,
                    0.004450264000013249,
                    0.004157477999967796,
                    0.004771371999993335,
                    0.004571889999965606,
                    0.004806798000004164,
                    0.004762675000051786,
                    0.004684259999976348,
                    0.004869073999998363,
                    0.004795827000009467,
                    0.00480089699999553,
                    0.004725154999960068,
                    0.004891576000034092,
                    0.004797160000009626,
                    0.004951887999993687,
                    0.004808159999981854,
                    0.004631311000025562,
                    0.004737909000027685,
                    0.004217498999992131,
                    0.0032917440000233,
                    0.0032652760000360104,
                    0.003350293000039528,
                    0.0032333049999806462,
                    0.003200835000029656,
                    0.0032108429999766486,
                    0.003188191999981882,
                    0.003217306000010467,
                    0.003207087000021147,
                    0.003209100999981729,
                    0.0032220049999978073,
                    0.0032103730000017094,
                    0.0032069760000013048,
                    0.003215572000044631,
                    0.003219550000039817,
                    0.003212867999991431,
                    0.0033014530000059494,
                    0.0031993520000241915,
                    0.0033490710000023682,
                    0.0032719669999892176,
                    0.0032822069999838277,
                    0.0033042180000393273,
                    0.003197158999967087,
                    0.0032025579999981346,
                    0.0032198300000345625,
                    0.0031997520000004442,
                    0.0032032400000048256,
                    0.003208760000006805,
                    0.003194502999974702,
                    0.0032005939999635302,
                    0.003548333000026105,
                    0.0033128430000033404,
                    0.0032121460000098523
                ],
                "count": 133,
                "total": 0.5576454520002017,
                "mean": 0.004192822947369937,
                "p50": 0.00445401999996875,
                "p90": 0.004716975999963324,
                "p95": 0.004796360200009531,
                "p99": 0.004884375360022659,
                "stdev": 0.0005668301623641121,
                "stdev_": 13.519057911082838
            },
            "throughput": {
                "unit": "samples/s",
                "value": 477.00559386953233
            },
            "energy": {
                "unit": "kWh",
                "cpu": 1.7168849581497872e-07,
                "ram": 7.1791941116643004e-09,
                "gpu": 0.0,
                "total": 1.7886768992664319e-07
            },
            "efficiency": {
                "unit": "samples/kWh",
                "value": 11181449.26465051
            }
        },
        "decode": {
            "memory": {
                "unit": "MB",
                "max_ram": 484.335616,
                "max_global_vram": null,
                "max_process_vram": null,
                "max_reserved": null,
                "max_allocated": null
            },
            "latency": {
                "unit": "s",
                "values": [
                    0.0035748919999605278,
                    0.0035588929999903485,
                    0.003532754000048044,
                    0.003560104999962732,
                    0.0035406680000278357,
                    0.0035923249999996187,
                    0.00355502500002558,
                    0.003539095000007819,
                    0.0035317020000320554,
                    0.003557089000025826,
                    0.0035591230000022733,
                    0.003579189999982191,
                    0.003577255999971385,
                    0.003546568999979627,
                    0.003527715000018361,
                    0.0032586529999889535,
                    0.0032260929999665677,
                    0.0032319929999857777,
                    0.003629192999994757,
                    0.003547611000044526,
                    0.003511183999989953,
                    0.0035746109999763576,
                    0.0035091790000478795,
                    0.0035287559999801488,
                    0.003521202000001722,
                    0.00352514000002202,
                    0.0035661260000097172,
                    0.003530167999997502,
                    0.0035412390000146843,
                    0.003522885000052156,
                    0.003571716000010383,
                    0.003552891000026648,
                    0.0035740910000185977,
                    0.0035652540000228328,
                    0.0035763739999765676,
                    0.003470087000039257,
                    0.003509228999973857,
                    0.00353814400000374,
                    0.003470889000027455,
                    0.0034954239999933634,
                    0.0032102330000043366,
                    0.003258512000002156,
                    0.0032774079999740025,
                    0.003630916000020079,
                    0.003648979999979929,
                    0.0036785749999808104,
                    0.0036995950000004996,
                    0.0035073469999815643,
                    0.0034788429999821346,
                    0.003514458999973158,
                    0.0035112439999807066,
                    0.003502987999979723,
                    0.0035376129999917794,
                    0.003526031999967927,
                    0.003507936999994854,
                    0.0034855860000106986,
                    0.003500985000016499,
                    0.00356537400000434,
                    0.0035737000000040098,
                    0.0034812669999837453,
                    0.0035190979999697447,
                    0.0032515300000000025,
                    0.003469346000031237,
                    0.003875042000004214,
                    0.0035899299999755385,
                    0.0035885679999978493,
                    0.0034673920000045655,
                    0.0037270860000262473,
                    0.0036792870000113,
                    0.003758124000000862,
                    0.003690867999978309,
                    0.003660620999994535,
                    0.0037023299999532355,
                    0.003431876000036027,
                    0.003528496000001269,
                    0.0035540530000162107,
                    0.0035843599999907383,
                    0.0036141260000022157,
                    0.0035710550000089825,
                    0.0036145349999969767,
                    0.0035514189999616974,
                    0.0035405980000291493,
                    0.0034651269999699252,
                    0.0035905409999941185,
                    0.003648810000015601,
                    0.003755419000015081,
                    0.0037598659999957817,
                    0.0036825939999971524,
                    0.003677323000033539,
                    0.0038659649999885914,
                    0.0038121039999623463,
                    0.0037980080000465932,
                    0.003899207000017668,
                    0.0038141179999797714,
                    0.0038963609999882465,
                    0.0037782510000283764,
                    0.003823666000016601,
                    0.0037290399999960755,
                    0.0037639450000028774,
                    0.0027228349999859347,
                    0.002731250000010732,
                    0.0026970559999881516,
                    0.0026998609999964174,
                    0.0026998120000030212,
                    0.0025537989999975252,
                    0.0025434400000108326,
                    0.0025810200000364603,
                    0.0025631970000290494,
                    0.0025906879999979537,
                    0.00254268899999488,
                    0.002567543999987265,
                    0.0025692380000350568,
                    0.002582772999971894,
                    0.0025689769999530654,
                    0.0025483389999862993,
                    0.0025554220000003625,
                    0.0025850470000250425,
                    0.0025758900000028007,
                    0.002889103999962117,
                    0.0026966159999801675,
                    0.0025887740000030135,
                    0.0025879030000055536,
                    0.0025667630000043573,
                    0.0025503630000116573,
                    0.002556153999989874,
                    0.00257599100001471,
                    0.002555621999988489,
                    0.0025674940000044444,
                    0.0025989840000306685,
                    0.0025643990000503436,
                    0.002578995999954259,
                    0.0025597009999955844,
                    0.0025763520000054996
                ],
                "count": 133,
                "total": 0.44220030500008534,
                "mean": 0.0033248143233089123,
                "p50": 0.003528496000001269,
                "p90": 0.00372864920000211,
                "p95": 0.0038036464000128943,
                "p99": 0.0038895389199933563,
                "stdev": 0.00044134951958253,
                "stdev_": 13.274411039690523
            },
            "throughput": {
                "unit": "tokens/s",
                "value": 601.5373508165009
            },
            "energy": {
                "unit": "kWh",
                "cpu": 5.333775071681332e-08,
                "ram": 2.2303080747852285e-09,
                "gpu": 0.0,
                "total": 5.5568058791598383e-08
            },
            "efficiency": {
                "unit": "tokens/kWh",
                "value": 35991899.72607771
            }
        },
        "per_token": {
            "memory": null,
            "latency": {
                "unit": "s",
                "values": [
                    0.0033236040000019784,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033913890000007996,
                    0.002398470000002817,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033913890000007996,
                    0.002398470000002817,
                    0.0033942860000024666,
                    0.0023621720000051027,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033913890000007996,
                    0.002398470000002817,
                    0.0033942860000024666,
                    0.0023621720000051027,
                    0.003415765999989162,
                    0.0023894120000136354,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033913890000007996,
                    0.002398470000002817,
                    0.0033942860000024666,
                    0.0023621720000051027,
                    0.003415765999989162,
                    0.0023894120000136354,
                    0.0034164769999733835,
                    0.0024244780000231003,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033913890000007996,
                    0.002398470000002817,
                    0.0033942860000024666,
                    0.0023621720000051027,
                    0.003415765999989162,
                    0.0023894120000136354,
                    0.0034164769999733835,
                    0.0024244780000231003,
                    0.0033890759999621878,
                    0.00238941300000306,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033913890000007996,
                    0.002398470000002817,
                    0.0033942860000024666,
                    0.0023621720000051027,
                    0.003415765999989162,
                    0.0023894120000136354,
                    0.0034164769999733835,
                    0.0024244780000231003,
                    0.0033890759999621878,
                    0.00238941300000306,
                    0.00373690400004989,
                    0.002402186999972855,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033913890000007996,
                    0.002398470000002817,
                    0.0033942860000024666,
                    0.0023621720000051027,
                    0.003415765999989162,
                    0.0023894120000136354,
                    0.0034164769999733835,
                    0.0024244780000231003,
                    0.0033890759999621878,
                    0.00238941300000306,
                    0.00373690400004989,
                    0.002402186999972855,
                    0.0035033579999890208,
                    0.002383933000032812,
                    0.0033236040000019784,
                    0.004764267999973981,
                    0.003313063999996757,
                    0.0047212389999913285,
                    0.0032926960000168037,
                    0.004722090000029766,
                    0.003308975999971153,
                    0.004759750999994594,
                    0.0032953310000038982,
                    0.0048555179999993925,
                    0.003337219999991703,
                    0.004886666000004425,
                    0.0032993789999977707,
                    0.004836302999990494,
                    0.0032973849999962113,
                    0.004740384000001541,
                    0.0032853320000185704,
                    0.00477188299998943,
                    0.0032838700000183962,
                    0.004888950999998087,
                    0.003300380999974095,
                    0.0046622480000451105,
                    0.003316761000007773,
                    0.004708063999999013,
                    0.0033075229999894873,
                    0.004724355000007563,
                    0.0032711059999996905,
                    0.004821173999971506,
                    0.0032868559999883473,
                    0.004705268000009255,
                    0.003011973000013768,
                    0.004360586000018429,
                    0.0030037779999929626,
                    0.004323226999986218,
                    0.00300879700000678,
                    0.004319319999979143,
                    0.0033662330000083784,
                    0.00479019699997707,
                    0.0032949400000461537,
                    0.004789825999978348,
                    0.0032632209999974293,
                    0.004763909000018884,
                    0.003326808999986497,
                    0.004769067999973231,
                    0.0032687210000403866,
                    0.004727479999985462,
                    0.0032859940000093957,
                    0.004712591999975757,
                    0.0032785299999886774,
                    0.004708615000026839,
                    0.003281596000022091,
                    0.00475122399996053,
                    0.003321228999993764,
                    0.004806458000018665,
                    0.003286333999994895,
                    0.00477732299998479,
                    0.0032979460000319705,
                    0.00473193799996352,
                    0.0032842600000435596,
                    0.004702313999985108,
                    0.00331864399998949,
                    0.004758868999999777,
                    0.003289380000012443,
                    0.004860266999969554,
                    0.003307324000047629,
                    0.004780037999978504,
                    0.003312262000008559,
                    0.004781792000017049,
                    0.003346976999978324,
                    0.00464435499998217,
                    0.003234899000005953,
                    0.00461104300001125,
                    0.0032518699999855016,
                    0.004697494000026836,
                    0.003273460000002615,
                    0.004637772999956269,
                    0.003234909000013886,
                    0.004670443000009072,
                    0.003258974000004855,
                    0.00453937899999346,
                    0.0029865260000292437,
                    0.0042814489999614125,
                    0.0030365090000259443,
                    0.004292829000007714,
                    0.003030357999989519,
                    0.0045022499999731735,
                    0.0033757510000214097,
                    0.00490599300002259,
                    0.0033770929999832333,
                    0.004909870000005867,
                    0.003414402999965205,
                    0.005017911000038566,
                    0.0034275079999588343,
                    0.004776641000034942,
                    0.0032417719999671135,
                    0.004611664000037763,
                    0.0032383049999680225,
                    0.004622264000033738,
                    0.003253221999955258,
                    0.004697364000037396,
                    0.0032662570000070446,
                    0.004687826999997924,
                    0.0032595139999784806,
                    0.00468733500002827,
                    0.003290531999994073,
                    0.004739932999996199,
                    0.0032795619999888004,
                    0.004775188999985858,
                    0.003262460000030387,
                    0.004747576999989178,
                    0.0032418519999737327,
                    0.004677176000029704,
                    0.003264463999983036,
                    0.00464333299998998,
                    0.003312042000004567,
                    0.004773536000016065,
                    0.0033241950000046927,
                    0.004771812999990743,
                    0.003239687000018421,
                    0.004879222999988997,
                    0.0032760849999817765,
                    0.004676103999997849,
                    0.0030231439999965914,
                    0.004517819000000145,
                    0.003231803000005584,
                    0.004631050000000414,
                    0.0036107399999991685,
                    0.004849968000030458,
                    0.0033377599999653285,
                    0.004868272000010165,
                    0.0033301860000278793,
                    0.004841582999972616,
                    0.0032338970000296285,
                    0.004793702999961624,
                    0.0034670109999979104,
                    0.005007100999989689,
                    0.0034238210000125946,
                    0.0049362889999997606,
                    0.0034856359999935194,
                    0.004916432000015902,
                    0.0034372250000274107,
                    0.004931991999967522,
                    0.0034086219999949208,
                    0.004938333000040984,
                    0.0034286689999589726,
                    0.004900001999999404,
                    0.003192098999988957,
                    0.004720146000011027,
                    0.003286595000020043,
                    0.00465444399998205,
                    0.0032888389999925494,
                    0.004744982000033815,
                    0.0033357869999690593,
                    0.004766773000028479,
                    0.00336581300001626,
                    0.0047425779999912265,
                    0.0033237439999993512,
                    0.004780829999958769,
                    0.00335733600002186,
                    0.004861660000017309,
                    0.003316189999964081,
                    0.004682036000019707,
                    0.0033053689999746894,
                    0.004707243000041217,
                    0.0032416610000041146,
                    0.004400139999972907,
                    0.0033382510000024013,
                    0.005046403999983795,
                    0.003411498000048141,
                    0.004829779999965922,
                    0.003499532000034833,
                    0.005084034999981668,
                    0.003500943999995343,
                    0.005039601000021321,
                    0.003426365999985137,
                    0.0049581299999772455,
                    0.003409003000001576,
                    0.0051579020000076525,
                    0.0035972740000147496,
                    0.005086338000012347,
                    0.0035288469999841254,
                    0.005104912999968292,
                    0.0035350480000033713,
                    0.005009465000000546,
                    0.003621189000000413,
                    0.005194160000030479,
                    0.003522473999964859,
                    0.005110955000020567,
                    0.0036211080000043694,
                    0.005250774999979058,
                    0.0035078470000371453,
                    0.005102989999954843,
                    0.003550697000036962,
                    0.004924496999990424,
                    0.0034695759999863185,
                    0.005016709000017272,
                    0.003482049000012921,
                    0.004519952999999077,
                    0.002480482999999367,
                    0.003549835000001167,
                    0.002486024000006637,
                    0.003525008999986312,
                    0.0024472499999887987,
                    0.0036139850000154183,
                    0.002457259999971484,
                    0.0034895919999939906,
                    0.0024555770000347366,
                    0.003458394999995562,
                    0.0023767389999989064,
                    0.003401177999990068,
                    0.0023675919999845974,
                    0.0033860409999988406,
                    0.002405301999999665,
                    0.0034062280000171086,
                    0.002384554000002481,
                    0.0033989739999924495,
                    0.0023954140000341795,
                    0.0034191819999591644,
                    0.002367572000025575,
                    0.003410305999977936,
                    0.0023920269999848642,
                    0.0033992850000004182,
                    0.0023930400000153895,
                    0.0033964990000185935,
                    0.0024030689999676724,
                    0.00340979400004926,
                    0.0023772799999619565,
                    0.003426426000032734,
                    0.002372590999982549,
                    0.0034018100000139384,
                    0.0023730519999958233,
                    0.0034974579999698108,
                    0.0024061340000116616,
                    0.00339141000000609,
                    0.002400002999991102,
                    0.0035380230000328083,
                    0.0026752859999987777,
                    0.0035000219999687943,
                    0.002476414999989629,
                    0.003517165000005207,
                    0.0024110930000347253,
                    0.003495353999994677,
                    0.002410031000010804,
                    0.003389436999952977,
                    0.0023732730000460833,
                    0.003409993999980543,
                    0.0023738240000170663,
                    0.0034096640000029765,
                    0.0023783429999753025,
                    0.0033913890000007996,
                    0.002398470000002817,
                    0.0033942860000024666,
                    0.0023621720000051027,
                    0.003415765999989162,
                    0.0023894120000136354,
                    0.0034164769999733835,
                    0.0024244780000231003,
                    0.0033890759999621878,
                    0.00238941300000306,
                    0.00373690400004989,
                    0.002402186999972855,
                    0.0035033579999890208,
                    0.002383933000032812,
                    0.0034016289999954097,
                    0.0023992519999751494
                ],
                "count": 17689,
                "total": 69.82529113099821,
                "mean": 0.003947384879359953,
                "p50": 0.003499532000034833,
                "p90": 0.0048555179999993925,
                "p95": 0.004928993999976672,
                "p99": 0.005104912999968292,
                "stdev": 0.0007765809784966075,
                "stdev_": 19.673302761967463
            },
            "throughput": null,
            "energy": null,
            "efficiency": null
        }
    }
}