diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 9cf0556..49bc537 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -15,6 +15,7 @@ repos: hooks: - id: check-yaml - id: end-of-file-fixer + exclude: \.json$ - id: trailing-whitespace - id: check-case-conflict - id: check-merge-conflict diff --git a/src/diffpy/nmf_mapping/main.py b/src/diffpy/nmf_mapping/main.py index 06daff0..43bdbfe 100644 --- a/src/diffpy/nmf_mapping/main.py +++ b/src/diffpy/nmf_mapping/main.py @@ -132,8 +132,6 @@ def tup(s): n_iter=args1.n_iter, ) - print(f"Number of components: {len(df_components.columns)}") - fig1 = nmf.component_plot(df_components, args1.xrd, args1.x_units, args1.show) fig2 = nmf.component_ratio_plot(df_component_weight_timeseries, args1.show) fig3 = nmf.reconstruction_error_plot(df_reconstruction_error, args1.show) diff --git a/tests/output/output_1/component_index_vs_RE_value.json b/tests/output/output_1/component_index_vs_RE_value.json index 851a5d9..e1e985a 100644 --- a/tests/output/output_1/component_index_vs_RE_value.json +++ b/tests/output/output_1/component_index_vs_RE_value.json @@ -1 +1 @@ -{"0":{"1":297.2320764418,"2":99.3169152025,"3":0.1930209752,"4":0.1930209752,"5":0.1930209752,"6":0.1930209752,"7":0.1930209752,"8":0.1930209752,"9":0.1930209752,"10":0.1930209752}} +{"0":{"1":297.2320764418,"2":99.3384847868,"3":24.2757958967,"4":8.3941967981,"5":2.4565516346,"6":0.0706811697,"7":0.0703110956,"8":0.0208623408,"9":0.0405341728,"10":0.0089427879}} \ No newline at end of file diff --git a/tests/output/output_1/component_index_vs_pratio_col.json b/tests/output/output_1/component_index_vs_pratio_col.json index cb11cbc..51e8873 100644 --- a/tests/output/output_1/component_index_vs_pratio_col.json +++ b/tests/output/output_1/component_index_vs_pratio_col.json @@ -1 +1 @@ -{"0":{"0":0.1012347369,"1":0.0761357385,"2":0.8226295245},"1":{"0":0.1010235873,"1":0.0779591956,"2":0.8210172171},"2":{"0":0.0994416662,"1":0.0916204305,"2":0.8089379033},"3":{"0":0.0887636744,"1":0.1838339774,"2":0.7274023482},"4":{"0":0.0474476951,"1":0.5411997046,"2":0.4113526004},"5":{"0":0.0087175609,"1":0.8962651575,"2":0.0950172816},"6":{"0":0.0010510094,"1":0.9857832857,"2":0.0131657049},"7":{"0":0.0037712798,"1":0.9949611562,"2":0.0012675641},"8":{"0":0.0098830598,"1":0.9901169402,"2":0.0},"9":{"0":0.0189903523,"1":0.9810096477,"2":0.0},"10":{"0":0.0316610363,"1":0.9683389637,"2":0.0},"11":{"0":0.0486184937,"1":0.9513815063,"2":0.0},"12":{"0":0.070690848,"1":0.929309152,"2":0.0},"13":{"0":0.0987468127,"1":0.9012531873,"2":0.0},"14":{"0":0.1336502636,"1":0.8663497364,"2":0.0},"15":{"0":0.1761934011,"1":0.8238065989,"2":0.0},"16":{"0":0.2269939584,"1":0.7730060416,"2":0.0},"17":{"0":0.2863470819,"1":0.7136529181,"2":0.0},"18":{"0":0.3540301731,"1":0.6459659981,"2":0.0000038288},"19":{"0":0.4290746918,"1":0.5708935987,"2":0.0000317095},"20":{"0":0.5095924913,"1":0.4903292057,"2":0.000078303},"21":{"0":0.5927003213,"1":0.4071615954,"2":0.0001380833},"22":{"0":0.6746779849,"1":0.3251164016,"2":0.0002056135},"23":{"0":0.7514333455,"1":0.2482910397,"2":0.0002756149},"24":{"0":0.8192174853,"1":0.1804393879,"2":0.0003431268},"25":{"0":0.875377344,"1":0.1242187716,"2":0.0004038844},"26":{"0":0.9188519755,"1":0.0806931319,"2":0.0004548926},"27":{"0":0.9502096756,"1":0.0492958216,"2":0.0004945028},"28":{"0":0.9712444548,"1":0.0282325552,"2":0.00052299},"29":{"0":0.9843478389,"1":0.0151103201,"2":0.000541841},"30":{"0":0.9919161267,"1":0.0075306698,"2":0.0005532035},"31":{"0":0.9959607838,"1":0.0034798433,"2":0.0005593729},"32":{"0":0.9979554044,"1":0.0014823242,"2":0.0005622714},"33":{"0":0.9988599149,"1":0.0005766909,"2":0.0005633941},"34":{"0":0.9992355861,"1":0.0002007286,"2":0.0005636853},"35":{"0":0.9993777604,"1":0.0000584775,"2":0.0005637622},"36":{"0":0.9994265484,"1":0.0000096631,"2":0.0005637886},"37":{"0":0.9994402459,"1":0.0,"2":0.0005597541},"38":{"0":0.9994430456,"1":0.0,"2":0.0005569544},"39":{"0":0.9994437327,"1":0.0,"2":0.0005562673},"40":{"0":0.9994438838,"1":0.0,"2":0.0005561162},"41":{"0":0.9994439131,"1":0.0,"2":0.0005560869},"42":{"0":0.9994439181,"1":0.0,"2":0.0005560819},"43":{"0":0.9994439188,"1":0.0,"2":0.0005560812},"44":{"0":0.9994439189,"1":0.0,"2":0.0005560811},"45":{"0":0.9994439189,"1":0.0,"2":0.0005560811},"46":{"0":0.9994439189,"1":0.0,"2":0.0005560811},"47":{"0":0.9994439189,"1":0.0,"2":0.0005560811},"48":{"0":0.9994439189,"1":0.0,"2":0.0005560811},"49":{"0":0.9994439189,"1":0.0,"2":0.0005560811}} +{"0":{"0":0.0000522102,"1":0.0047576936,"2":0.0,"3":0.013978016,"4":2.807840198e-16,"5":0.9812120802},"1":{"0":0.0026932817,"1":0.0047234755,"2":0.0,"3":0.0138987049,"4":2.79163112e-16,"5":0.9786845379},"2":{"0":0.0218719611,"1":0.0044749936,"2":0.0,"3":0.0133227711,"4":2.673925598e-16,"5":0.9603302742},"3":{"0":0.1283311828,"1":0.0030934526,"2":0.0000010742,"3":0.0101257214,"4":2.020577884e-16,"5":0.858448569},"4":{"0":0.3463450022,"1":0.0002594009,"2":0.0000055822,"3":0.003578409,"4":6.826681601e-17,"5":0.6498116056},"5":{"0":0.4438798167,"1":0.0,"2":0.0,"3":0.0006027121,"4":6.986007417e-18,"5":0.5555174712},"6":{"0":0.458414082,"1":0.0,"2":0.0000804014,"3":0.00007128,"4":0.0,"5":0.5414342366},"7":{"0":0.4557590578,"1":0.0000257648,"2":0.0009928895,"3":0.000007841,"4":2.89218139e-20,"5":0.5432144469},"8":{"0":0.4515252094,"1":0.0022239176,"2":0.0010539824,"3":0.0,"4":7.546948622e-20,"5":0.5451968905},"9":{"0":0.4453515862,"1":0.0055633583,"2":0.0010292212,"3":0.0,"4":9.992771288e-20,"5":0.5480558343},"10":{"0":0.437027719,"1":0.0102497676,"2":0.0009127226,"3":0.0,"4":8.759595553e-20,"5":0.5518097907},"11":{"0":0.4260814555,"1":0.0164357859,"2":0.0007489773,"3":0.0,"4":6.602590379e-20,"5":0.5567337813},"12":{"0":0.411909771,"1":0.0241768588,"2":0.0006101976,"3":0.0000000095,"4":3.589818954e-19,"5":0.5633031632},"13":{"0":0.3941183987,"1":0.0335986428,"2":0.0005382951,"3":0.0000012607,"4":9.371526193e-19,"5":0.5717434027},"14":{"0":0.3726533719,"1":0.0449452339,"2":0.0004572243,"3":0.0000027709,"4":1.659300364e-18,"5":0.581941399},"15":{"0":0.3474540388,"1":0.0582511869,"2":0.0003660714,"3":0.000004544,"4":2.524495998e-18,"5":0.593924159},"16":{"0":0.3186581266,"1":0.0734255207,"2":0.0002703565,"3":0.0000065704,"4":3.549753217e-18,"5":0.6076394258},"17":{"0":0.286697556,"1":0.0902546107,"2":0.0001676698,"3":0.0000088196,"4":4.703044079e-18,"5":0.6228713438},"18":{"0":0.2522925376,"1":0.1083579853,"2":0.0000606662,"3":0.000011241,"4":5.959855632e-18,"5":0.6392775699},"19":{"0":0.2162968729,"1":0.1270965432,"2":0.0000042182,"3":0.0000137761,"4":7.515081733e-18,"5":0.6565885896},"20":{"0":0.1799716664,"1":0.1458021793,"2":0.0000034946,"3":0.0000163362,"4":9.328051553e-18,"5":0.6742063235},"21":{"0":0.1449229934,"1":0.1638502799,"2":0.0000028475,"3":0.0000188064,"4":1.107753121e-17,"5":0.6912050728},"22":{"0":0.1125540137,"1":0.1805184217,"2":0.0000022683,"3":0.0000210877,"4":1.269333204e-17,"5":0.7069042086},"23":{"0":0.0840505879,"1":0.1951959897,"2":0.0000017688,"3":0.0000230965,"4":1.411621706e-17,"5":0.7207285571},"24":{"0":0.0602086759,"1":0.2074731309,"2":0.0000013578,"3":0.0000247769,"4":1.530642959e-17,"5":0.7322920585},"25":{"0":0.0413321706,"1":0.217193372,"2":0.0000010369,"3":0.0000261072,"4":1.62487833e-17,"5":0.7414473132},"26":{"0":0.0272326384,"1":0.2244537553,"2":0.0000007999,"3":0.0000271009,"4":1.695267283e-17,"5":0.7482857055},"27":{"0":0.0173280581,"1":0.229553993,"2":0.0000006351,"3":0.000027799,"4":1.744714517e-17,"5":0.7530895149},"28":{"0":0.0108044458,"1":0.2329132411,"2":0.0000005273,"3":0.0000282588,"4":1.777283103e-17,"5":0.756253527},"29":{"0":0.0067884158,"1":0.2349812414,"2":0.0000004614,"3":0.0000285418,"4":1.797332962e-17,"5":0.7582013395},"30":{"0":0.0044853541,"1":0.2361671714,"2":0.0000004237,"3":0.0000287041,"4":1.808830963e-17,"5":0.7593183467},"31":{"0":0.0032595366,"1":0.2367983891,"2":0.0000004037,"3":0.0000287905,"4":1.81495086e-17,"5":0.7599128801},"32":{"0":0.0026563912,"1":0.2371089704,"2":0.0000003939,"3":0.000028833,"4":1.817962069e-17,"5":0.7602054115},"33":{"0":0.0023832337,"1":0.237249629,"2":0.0000003895,"3":0.0000288523,"4":1.819325812e-17,"5":0.7603378956},"34":{"0":0.0022698927,"1":0.2373079923,"2":0.0000003876,"3":0.0000288603,"4":1.819891669e-17,"5":0.7603928671},"35":{"0":0.0022270164,"1":0.2373300709,"2":0.0000003869,"3":0.0000288633,"4":1.82010573e-17,"5":0.7604136625},"36":{"0":0.0022123041,"1":0.2373376468,"2":0.0000003867,"3":0.0000288643,"4":1.820179181e-17,"5":0.7604207981},"37":{"0":0.0022077493,"1":0.2373399922,"2":0.0000003866,"3":0.0000288646,"4":1.820201921e-17,"5":0.7604230072},"38":{"0":0.002206484,"1":0.2373406437,"2":0.0000003866,"3":0.0000288647,"4":1.820208238e-17,"5":0.7604236209},"39":{"0":0.0022061704,"1":0.2373408052,"2":0.0000003866,"3":0.0000288648,"4":1.820209804e-17,"5":0.760423773},"40":{"0":0.0022061014,"1":0.2373408407,"2":0.0000003866,"3":0.0000288648,"4":1.820210148e-17,"5":0.7604238065},"41":{"0":0.0022060881,"1":0.2373408476,"2":0.0000003866,"3":0.0000288648,"4":1.820210215e-17,"5":0.760423813},"42":{"0":0.0022060858,"1":0.2373408488,"2":0.0000003866,"3":0.0000288648,"4":1.820210226e-17,"5":0.7604238141},"43":{"0":0.0022060855,"1":0.237340849,"2":0.0000003866,"3":0.0000288648,"4":1.820210228e-17,"5":0.7604238142},"44":{"0":0.0022060854,"1":0.237340849,"2":0.0000003866,"3":0.0000288648,"4":1.820210228e-17,"5":0.7604238142},"45":{"0":0.0022060854,"1":0.237340849,"2":0.0000003866,"3":0.0000288648,"4":1.820210228e-17,"5":0.7604238143},"46":{"0":0.0022060854,"1":0.237340849,"2":0.0000003866,"3":0.0000288648,"4":1.820210228e-17,"5":0.7604238143},"47":{"0":0.0022060854,"1":0.237340849,"2":0.0000003866,"3":0.0000288648,"4":1.820210228e-17,"5":0.7604238143},"48":{"0":0.0022060854,"1":0.237340849,"2":0.0000003866,"3":0.0000288648,"4":1.820210228e-17,"5":0.7604238143},"49":{"0":0.0022060854,"1":0.237340849,"2":0.0000003866,"3":0.0000288648,"4":1.820210228e-17,"5":0.7604238143}} \ No newline at end of file diff --git a/tests/output/output_1/x_index_vs_y_col_components.json b/tests/output/output_1/x_index_vs_y_col_components.json index 869fc11..1cbdf8c 100644 --- a/tests/output/output_1/x_index_vs_y_col_components.json +++ b/tests/output/output_1/x_index_vs_y_col_components.json @@ -1 +1 @@ -{"0":{"5.0":0.8300343588,"5.01":0.8259736685,"5.0200000000000005":0.8228412549,"5.03":0.8202998703,"5.04":0.8181100433,"5.05":0.8161296823,"5.0600000000000005":0.8143100555,"5.07":0.8126886032,"5.08":0.8113791128,"5.09":0.8105598295,"5.1000000000000005":0.8104600956,"5.11":0.8113460979,"5.12":0.8135062759,"5.13":0.8172368894,"5.14":0.8228281825,"5.15":0.8305515097,"5.16":0.8406477113,"5.17":0.8533169493,"5.18":0.8687101478,"5.19":0.8869221116,"5.2":0.9079863497,"5.21":0.9318715825,"5.22":0.9584798847,"5.23":0.9876463927,"5.24":1.0191404976,"5.25":1.0526684394,"5.26":1.087877224,"5.2700000000000005":1.1243597843,"5.28":1.1616613152,"5.29":1.1992867113,"5.3":1.2367090331,"5.3100000000000005":1.2733789156,"5.32":1.3087348201,"5.33":1.3422139993,"5.34":1.3732640196,"5.3500000000000005":1.401354647,"5.36":1.4259898637,"5.37":1.4467197466,"5.38":1.4631519028,"5.39":1.4749621309,"5.4":1.4819039593,"5.41":1.4838167073,"5.42":1.4806317287,"5.43":1.4723765214,"5.44":1.4591764372,"5.45":1.4412537843,"5.46":1.4189241989,"5.47":1.39259025,"5.48":1.3627323502,"5.49":1.3298971478,"5.5":1.2946836912,"5.51":1.2577277571,"5.5200000000000005":1.2196848323,"5.53":1.1812123185,"5.54":1.1429515884,"5.55":1.1055105579,"5.5600000000000005":1.0694474477,"5.57":1.0352563844,"5.58":1.0033554403,"5.59":0.9740776316,"5.6000000000000005":0.9476652825,"5.61":0.9242680364,"5.62":0.9039446417,"5.63":0.8866684817,"5.64":0.8723366492,"5.65":0.8607822059,"5.66":0.8517891117,"5.67":0.8451091756,"5.68":0.8404802702,"5.69":0.837644973,"5.7":0.8363687561,"5.71":0.8364568417,"5.72":0.8377688778,"5.73":0.8402306681,"5.74":0.8438423016,"5.75":0.8486821806,"5.76":0.8549066183,"5.7700000000000005":0.8627448773,"5.78":0.8724897278,"5.79":0.8844838159,"5.8":0.8991023355,"5.8100000000000005":0.9167326864,"5.82":0.9377519613,"5.83":0.9625032309,"5.84":0.9912716851,"5.8500000000000005":1.0242617269,"5.86":1.0615761094,"5.87":1.1031981485,"5.88":1.1489779387,"5.89":1.1986233511,"5.9":1.2516964041,"5.91":1.3076153798,"5.92":1.3656628207,"5.93":1.4249992889,"5.94":1.4846825221,"5.95":1.5436913811,"5.96":1.6009537674,"5.97":1.6553775058,"5.98":1.7058830431,"5.99":1.75143672,"6.0":1.7910833309,"6.01":1.8239766972,"6.0200000000000005":1.8494070495,"6.03":1.8668241339,"6.04":1.8758551233,"6.05":1.8763166248,"6.0600000000000005":1.8682203135,"6.07":1.8517719791,"6.08":1.827364046,"6.09":1.7955618901,"6.1000000000000005":1.7570845263,"6.11":1.7127804707,"6.12":1.6635997639,"6.13":1.6105632955,"6.140000000000001":1.5547306552,"6.15":1.4971677851,"6.16":1.4389156842,"6.17":1.3809613496,"6.18":1.3242120171,"6.19":1.2694735943,"6.2":1.217433979,"6.21":1.1686517234,"6.22":1.123550259,"6.23":1.082417646,"6.24":1.0454115692,"6.25":1.0125690757,"6.26":0.9838203581,"6.2700000000000005":0.9590057265,"6.28":0.9378948011,"6.29":0.9202068944,"6.3":0.9056315392,"6.3100000000000005":0.8938481567,"6.32":0.8845439474,"6.33":0.8774292146,"6.34":0.872249497,"6.3500000000000005":0.8687940768,"6.36":0.8669006367,"6.37":0.8664560534,"6.38":0.8673935198,"6.390000000000001":0.869686381,"6.4":0.8733392349,"6.41":0.8783769765,"6.42":0.8848325621,"6.43":0.8927343131,"6.44":0.9020935825,"6.45":0.9128935673,"6.46":0.9250799613,"6.47":0.9385540246,"6.48":0.9531684959,"6.49":0.9687266011,"6.5":0.9849842301,"6.51":1.0016551701,"6.5200000000000005":1.0184191098,"6.53":1.034931972,"6.54":1.0508380043,"6.55":1.0657829607,"6.5600000000000005":1.0794276528,"6.57":1.0914611305,"6.58":1.1016127825,"6.59":1.1096627123,"6.6000000000000005":1.1154498462,"6.61":1.1188773677,"6.62":1.1199152221,"6.63":1.1185996087,"6.640000000000001":1.1150295476,"6.65":1.1093607746,"6.66":1.1017973712,"6.67":1.0925816594,"6.68":1.0819829891,"6.69":1.0702861046,"6.7":1.0577797901,"6.71":1.0447464774,"6.72":1.0314534272,"6.73":1.0181459993,"6.74":1.0050433921,"6.75":0.9923370734,"6.76":0.9801919557,"6.7700000000000005":0.9687501876,"6.78":0.9581372609,"6.79":0.9484699754,"6.8":0.9398656676,"6.8100000000000005":0.9324520071,"6.82":0.926376601,"6.83":0.9218156271,"6.84":0.9189807404,"6.8500000000000005":0.9181235671,"6.86":0.9195372137,"6.87":0.9235543676,"6.88":0.9305417439,"6.890000000000001":0.9408908339,"6.9":0.955005123,"6.91":0.9732841526,"6.92":0.9961050026,"6.93":1.0238019462,"6.94":1.0566451719,"6.95":1.0948195726,"6.96":1.1384046548,"6.97":1.1873566307,"6.98":1.241493702,"6.99":1.300485451,"7.0":1.3638471011,"7.01":1.4309392245,"7.0200000000000005":1.5009732486,"7.03":1.5730228697,"7.04":1.6460412209,"7.05":1.7188833877,"7.0600000000000005":1.7903336167,"7.07":1.8591363436,"7.08":1.9240299791,"7.09":1.9837822522,"7.1000000000000005":2.0372258156,"7.11":2.0832927872,"7.12":2.1210469187,"7.13":2.1497121669,"7.140000000000001":2.1686965712,"7.15":2.177610524,"7.16":2.1762787377,"7.17":2.1647454635,"7.18":2.1432727801,"7.19":2.1123320483,"7.2":2.072588889,"7.21":2.0248822964,"7.22":1.9701987133,"7.23":1.909642082,"7.24":1.8444010176,"7.25":1.7757143388,"7.26":1.7048362218,"7.2700000000000005":1.6330022229,"7.28":1.5613973423,"7.29":1.4911271811,"7.3":1.4231930835,"7.3100000000000005":1.3584719653,"7.32":1.2977013127,"7.33":1.2414696114,"7.34":1.1902122345,"7.3500000000000005":1.1442126022,"7.36":1.1036082198,"7.37":1.0684010306,"7.38":1.0384713755,"7.390000000000001":1.0135947492,"7.4":0.9934604811,"7.41":0.977691449,"7.42":0.9658639535,"7.43":0.9575269414,"7.44":0.952219857,"7.45":0.9494885194,"7.46":0.948898561,"7.47":0.950046115,"7.48":0.9525655909,"7.49":0.9561345318,"7.5":0.9604756834,"7.51":0.9653565318,"7.5200000000000005":0.9705866653,"7.53":0.9760133939,"7.54":0.9815161077,"7.55":0.9869998763,"7.5600000000000005":0.9923887832,"7.57":0.9976194593,"7.58":1.0026352246,"7.59":1.0073811767,"7.6000000000000005":1.0118004808,"7.61":1.0158320267,"7.62":1.0194095215,"7.63":1.022462002,"7.640000000000001":1.0249156635,"7.65":1.0266968316,"7.66":1.0277358474,"7.67":1.0279715917,"7.68":1.0273563534,"7.69":1.0258607344,"7.7":1.0234782956,"7.71":1.0202296694,"7.72":1.0161658978,"7.73":1.0113708005,"7.74":1.0059622256,"7.75":1.0000920904,"7.76":0.9939451726,"7.7700000000000005":0.9874952513,"7.78":0.9809995848,"7.79":0.9753592258,"7.8":0.9708609281,"7.8100000000000005":0.9674227855,"7.82":0.9648883145,"7.83":0.9639516337,"7.84":0.9648894937,"7.8500000000000005":0.9679587574,"7.86":0.9733888564,"7.87":0.981374593,"7.88":0.9920694548,"7.890000000000001":1.0055796041,"7.9":1.0219586874,"7.91":1.0412035994,"7.92":1.0632513235,"7.930000000000001":1.0879769548,"7.94":1.1151930004,"7.95":1.144650031,"7.96":1.1760387408,"7.97":1.2089934507,"7.98":1.2430970614,"7.99":1.2778874331,"8.0":1.3128651365,"8.01":1.3475024777,"8.02":1.3812536621,"8.03":1.4135659189,"8.040000000000001":1.4438913656,"8.05":1.4716993519,"8.06":1.4964653564,"8.07":1.5177051805,"8.08":1.5351651128,"8.09":1.5484416113,"8.1":1.5571648806,"8.11":1.5612206732,"8.120000000000001":1.5605172979,"8.13":1.5550571215,"8.14":1.5449385791,"8.15":1.5303557092,"8.16":1.5115951435,"8.17":1.4890305664,"8.18":1.4631147445,"8.19":1.4343693119,"8.2":1.4033725796,"8.21":1.3707457098,"8.22":1.3371376595,"8.23":1.3032093467,"8.24":1.269617522,"8.25":1.2369988441,"8.26":1.2059546501,"8.27":1.1770368861,"8.28":1.1507356215,"8.290000000000001":1.1274685091,"8.3":1.1075724785,"8.31":1.0912978688,"8.32":1.0788051128,"8.33":1.0701639911,"8.34":1.0653553867,"8.35":1.0642753769,"8.36":1.0667414305,"8.370000000000001":1.0725004079,"8.38":1.0812380156,"8.39":1.0925893343,"8.4":1.1061500245,"8.41":1.1214878176,"8.42":1.1381539215,"8.43":1.1556940012,"8.44":1.1736584473,"8.45":1.1916116965,"8.46":1.2091404339,"8.47":1.2258605692,"8.48":1.2414229428,"8.49":1.2555177744,"8.5":1.2678779168,"8.51":1.2782810195,"8.52":1.2865507306,"8.53":1.2925570869,"8.540000000000001":1.2962162386,"8.55":1.2974896532,"8.56":1.2963829186,"8.57":1.2929442436,"8.58":1.2872627188,"8.59":1.2794663677,"8.6":1.2697199859,"8.61":1.2582227326,"8.620000000000001":1.2452054187,"8.63":1.2309274171,"8.64":1.2156731171,"8.65":1.1997478488,"8.66":1.1834732196,"8.67":1.1671818304,"8.68":1.1512113752,"8.69":1.1358981649,"8.700000000000001":1.1215701659,"8.71":1.1085396864,"8.72":1.0970958871,"8.73":1.0874973339,"8.74":1.0799648352,"8.75":1.0746748304,"8.76":1.0717535992,"8.77":1.0712725546,"8.78":1.0732448605,"8.790000000000001":1.0776235788,"8.8":1.0843015022,"8.81":1.0931127689,"8.82":1.1038362883,"8.83":1.1162009357,"8.84":1.129892398,"8.85":1.1445614843,"8.86":1.1598336481,"8.870000000000001":1.1753194156,"8.88":1.190625368,"8.89":1.2053653029,"8.9":1.2191711836,"8.91":1.2317034955,"8.92":1.2426606476,"8.93":1.2517870993,"8.94":1.2588799414,"8.950000000000001":1.2637937288,"8.96":1.2664434294,"8.97":1.2668054345,"8.98":1.2649166504,"8.99":1.2608717669,"9.0":1.2548188658,"9.01":1.2469535893,"9.02":1.2375121361,"9.03":1.2267633831,"9.040000000000001":1.2150004472,"9.05":1.2025320047,"9.06":1.1896736706,"9.07":1.1767397144,"9.08":1.1640353524,"9.09":1.1518498094,"9.1":1.1404502925,"9.11":1.1300769665,"9.120000000000001":1.120938968,"9.13":1.1132114478,"9.14":1.1070335892,"9.15":1.1025075192,"9.16":1.0996980044,"9.17":1.0986328151,"9.18":1.0993036367,"9.19":1.1016674208,"9.200000000000001":1.1056480814,"9.21":1.1111384679,"9.22":1.1180025745,"9.23":1.1260779706,"9.24":1.1351784688,"9.25":1.145097064,"9.26":1.1556091978,"9.27":1.166476406,"9.28":1.1774504066,"9.290000000000001":1.1882776731,"9.3":1.1987045131,"9.31":1.2084826446,"9.32":1.21737522,"9.33":1.2251632059,"9.34":1.2316519823,"9.35":1.2366779788,"9.36":1.2401151273,"9.370000000000001":1.2418808764,"9.38":1.2419414947,"9.39":1.240316378,"9.4":1.2370810855,"9.41":1.2323688484,"9.42":1.2263703354,"9.43":1.2193315123,"9.44":1.2115494967,"9.450000000000001":1.2033663904,"9.46":1.1951611515,"9.47":1.1873396607,"9.48":1.1803232216,"9.49":1.1745358158,"9.5":1.1703905083,"9.51":1.1682754563,"9.52":1.1685400164,"9.53":1.1714814675,"9.540000000000001":1.1773328656,"9.55":1.186252527,"9.56":1.1983155888,"9.57":1.2135080306,"9.58":1.2317234605,"9.59":1.252762863,"9.6":1.2763374026,"9.61":1.3020742551,"9.620000000000001":1.3295253247,"9.63":1.3581785875,"9.64":1.387471702,"9.65":1.4168074316,"9.66":1.4455703544,"9.67":1.4731442832,"9.68":1.49892979,"9.69":1.5223612256,"9.700000000000001":1.5429226473,"9.71":1.5601621103,"9.72":1.5737038472,"9.73":1.5832579438,"9.74":1.5886272165,"9.75":1.5897111117,"9.76":1.5865065543,"9.77":1.5791057943,"9.78":1.5676914058,"9.790000000000001":1.5525286956,"9.8":1.5339558638,"9.81":1.5123723327,"9.82":1.4882257088,"9.83":1.461997874,"9.84":1.4341907153,"9.85":1.4053119866,"9.86":1.3758617706,"9.870000000000001":1.3463199597,"9.88":1.3171351138,"9.89":1.2887149828,"9.9":1.2614189008,"9.91":1.235552178,"9.92":1.2113625344,"9.93":1.189038544,"9.94":1.1687099833,"9.950000000000001":1.1504499223,"9.96":1.1342783442,"9.97":1.1201670438,"9.98":1.1080455318,"9.99":1.0978076636,"10.0":1.0893187104},"1":{"5.0":0.7264588328,"5.01":0.7343631525,"5.0200000000000005":0.7390325543,"5.03":0.7403624924,"5.04":0.7383036578,"5.05":0.7328611748,"5.0600000000000005":0.7240927441,"5.07":0.7121057957,"5.08":0.6970537387,"5.09":0.6791314172,"5.1000000000000005":0.6585699036,"5.11":0.6356307835,"5.12":0.610600103,"5.13":0.5837821678,"5.14":0.5554933904,"5.15":0.5260563905,"5.16":0.4957945488,"5.17":0.4650272053,"5.18":0.4340656754,"5.19":0.4032102293,"5.2":0.3727481425,"5.21":0.3429528865,"5.22":0.3140844723,"5.23":0.2863909088,"5.24":0.2601106766,"5.25":0.235476062,"5.26":0.2127171368,"5.2700000000000005":0.1920661213,"5.28":0.1737618247,"5.29":0.1580538259,"5.3":0.1452060402,"5.3100000000000005":0.1354993201,"5.32":0.1292327484,"5.33":0.1267233238,"5.34":0.1283037862,"5.3500000000000005":0.1343184031,"5.36":0.1451166216,"5.37":0.1610445874,"5.38":0.1824346417,"5.39":0.2095930128,"5.4":0.2427860323,"5.41":0.2822253081,"5.42":0.3280523794,"5.43":0.3803234543,"5.44":0.438994887,"5.45":0.5039100795,"5.46":0.574788497,"5.47":0.6512174541,"5.48":0.732647272,"5.49":0.8183903164,"5.5":0.9076243067,"5.51":0.9994001464,"5.5200000000000005":1.0926543612,"5.53":1.186226057,"5.54":1.2788781254,"5.55":1.3693222469,"5.5600000000000005":1.4562470642,"5.57":1.5383487482,"5.58":1.6143630413,"5.59":1.6830977687,"5.6000000000000005":1.743464737,"5.61":1.7945099209,"5.62":1.8354408563,"5.63":1.8656502192,"5.64":1.8847346792,"5.65":1.8925082585,"5.66":1.8890096072,"5.67":1.8745028168,"5.68":1.8494716148,"5.69":1.8146070292,"5.7":1.7707888456,"5.71":1.719061414,"5.72":1.6606045728,"5.73":1.596700645,"5.74":1.5286986067,"5.75":1.4579766404,"5.76":1.3859043396,"5.7700000000000005":1.3138058464,"5.78":1.2429251597,"5.79":1.1743947645,"5.8":1.1092085963,"5.8100000000000005":1.0482001824,"5.82":0.9920265933,"5.83":0.9411586108,"5.84":0.8958772748,"5.8500000000000005":0.8562767265,"5.86":0.8222730269,"5.87":0.7936184123,"5.88":0.7699202528,"5.89":0.7506638233,"5.9":0.7352378814,"5.91":0.722961973,"5.92":0.7131143647,"5.93":0.7049595253,"5.94":0.6977741498,"5.95":0.6908708274,"5.96":0.6836186009,"5.97":0.6754598387,"5.98":0.6659230287,"5.99":0.6546313035,"6.0":0.641306706,"6.01":0.6257703902,"6.0200000000000005":0.6079391231,"6.03":0.5878185957,"6.04":0.5654941608,"6.05":0.5411196893,"6.0600000000000005":0.5149052725,"6.07":0.4871044907,"6.08":0.4580019304,"6.09":0.4279015536,"6.1000000000000005":0.3971164213,"6.11":0.3659601476,"6.12":0.3347403212,"6.13":0.3037539869,"6.140000000000001":0.2732851368,"6.15":0.2436040302,"6.16":0.2149680448,"6.17":0.1876236749,"6.18":0.1618092258,"6.19":0.1377577279,"6.2":0.11569959,"6.21":0.0958645494,"6.22":0.0784825351,"6.23":0.0637831494,"6.24":0.0519935792,"6.25":0.0433348684,"6.26":0.0380166068,"6.2700000000000005":0.0362302166,"6.28":0.0381411286,"6.29":0.0438802419,"6.3":0.0535351331,"6.3100000000000005":0.0671415359,"6.32":0.0846756252,"6.33":0.1060476351,"6.34":0.1310972937,"6.3500000000000005":0.1595914871,"6.36":0.1912244706,"6.37":0.2256208238,"6.38":0.2623412199,"6.390000000000001":0.3008909359,"6.4":0.3407308948,"6.41":0.3812908983,"6.42":0.4219845903,"6.43":0.462225595,"6.44":0.5014442048,"6.45":0.5391039458,"6.46":0.5747173458,"6.47":0.6078602467,"6.48":0.6381840599,"6.49":0.6654254463,"6.5":0.6894130084,"6.51":0.7100707104,"6.5200000000000005":0.7274178803,"6.53":0.7415657967,"6.54":0.7527110056,"6.55":0.7611256514,"6.5600000000000005":0.767145229,"6.57":0.7711542675,"6.58":0.7735705324,"6.59":0.7748283874,"6.6000000000000005":0.7753619748,"6.61":0.7755888669,"6.62":0.7758948028,"6.63":0.7766200607,"6.640000000000001":0.7780479341,"6.65":0.7803956718,"6.66":0.7838081337,"6.67":0.7883542893,"6.68":0.7940265683,"6.69":0.8007429587,"6.7":0.8083516447,"6.71":0.8166378874,"6.72":0.8253327888,"6.73":0.8341235243,"6.74":0.8426646103,"6.75":0.8505897665,"6.76":0.8575239498,"6.7700000000000005":0.8630951716,"6.78":0.8669457579,"6.79":0.8687427716,"6.8":0.8681873817,"6.8100000000000005":0.8650230298,"6.82":0.8590423084,"6.83":0.8500925264,"6.84":0.8380799812,"6.8500000000000005":0.8229729975,"6.86":0.8048038152,"6.87":0.7836694199,"6.88":0.7597314088,"6.890000000000001":0.7332149701,"6.9":0.7044070367,"6.91":0.6736536445,"6.92":0.6413564998,"6.93":0.6079687335,"6.94":0.5739897948,"6.95":0.5399594272,"6.96":0.5064506613,"6.97":0.474061771,"6.98":0.4434071593,"6.99":0.4151071744,"7.0":0.3897769025,"7.01":0.3680140413,"7.0200000000000005":0.3503860181,"7.03":0.3374165841,"7.04":0.3295721797,"7.05":0.3272484271,"7.0600000000000005":0.3307571531,"7.07":0.3403143855,"7.08":0.3560297811,"7.09":0.3778979469,"7.1000000000000005":0.4057920897,"7.11":0.4394603884,"7.12":0.4785254145,"7.13":0.522486841,"7.140000000000001":0.5707275755,"7.15":0.6225233381,"7.16":0.6770555774,"7.17":0.7334274913,"7.18":0.790682791,"7.19":0.8478267333,"7.2":0.9038488383,"7.21":0.9577466294,"7.22":1.0085496723,"7.23":1.0553431528,"7.24":1.0972902357,"7.25":1.1336524663,"7.26":1.1638075395,"7.2700000000000005":1.1872638375,"7.28":1.2036712528,"7.29":1.2128279355,"7.3":1.2146827531,"7.3100000000000005":1.2093333985,"7.32":1.1970202426,"7.33":1.1781161754,"7.34":1.153112823,"7.3500000000000005":1.1226036544,"7.36":1.0872645932,"7.37":1.0478328338,"7.38":1.0050846066,"7.390000000000001":0.9598126634,"7.4":0.9128042429,"7.41":0.8648202362,"7.42":0.8165762109,"7.43":0.7687258599,"7.44":0.7218473343,"7.45":0.6764327967,"7.46":0.6328813993,"7.47":0.5914957585,"7.48":0.5524818615,"7.49":0.5159522229,"7.5":0.4819319911,"7.51":0.4503676149,"7.5200000000000005":0.421137605,"7.53":0.3940648706,"7.54":0.3689300863,"7.55":0.3454855341,"7.5600000000000005":0.3234688856,"7.57":0.3026164214,"7.58":0.2826752434,"7.59":0.2634140983,"7.6000000000000005":0.2446325135,"7.61":0.2261680272,"7.62":0.207901385,"7.63":0.1897596569,"7.640000000000001":0.1717173135,"7.65":0.1537953683,"7.66":0.136058761,"7.67":0.1186122006,"7.68":0.101594732,"7.69":0.0851733084,"7.7":0.0695356651,"7.71":0.0548827922,"7.72":0.0414212864,"7.73":0.0293558477,"7.74":0.0188821553,"7.75":0.0101803243,"7.76":0.0034091112,"7.7700000000000005":0.0,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0020370428,"7.82":0.0084932248,"7.83":0.0171066251,"7.84":0.027772674,"7.8500000000000005":0.0403570778,"7.86":0.0546993269,"7.87":0.0706167897,"7.88":0.087909271,"7.890000000000001":0.1063639085,"7.9":0.1257602763,"7.91":0.1458755553,"7.92":0.1664896338,"7.930000000000001":0.1873899936,"7.94":0.2083762442,"7.95":0.2292641674,"7.96":0.2498891451,"7.97":0.2701088537,"7.98":0.2898051269,"7.99":0.3088849085,"8.0":0.3272802456,"8.01":0.3449473027,"8.02":0.361864413,"8.03":0.3780292238,"8.040000000000001":0.3934550295,"8.05":0.4081664301,"8.06":0.4221610997,"8.07":0.4354358966,"8.08":0.4482316797,"8.09":0.4604783562,"8.1":0.4720341116,"8.11":0.4829829176,"8.120000000000001":0.4932943002,"8.13":0.5029164822,"8.14":0.5117763178,"8.15":0.5197808031,"8.16":0.5268202409,"8.17":0.5327730693,"8.18":0.5375122841,"8.19":0.5409133042,"8.2":0.5428630484,"8.21":0.5432699156,"8.22":0.5420742879,"8.23":0.5392591241,"8.24":0.5348601616,"8.25":0.528975225,"8.26":0.5217721327,"8.27":0.5134947115,"8.28":0.5044664682,"8.290000000000001":0.4950915306,"8.3":0.485852553,"8.31":0.4773053837,"8.32":0.4700704077,"8.33":0.4648206092,"8.34":0.4622665277,"8.35":0.4631384238,"8.36":0.4681660936,"8.370000000000001":0.4780568968,"8.38":0.4934726644,"8.39":0.5150062341,"8.4":0.5431584209,"8.41":0.5783162551,"8.42":0.6207333208,"8.43":0.6705129868,"8.44":0.7275952579,"8.45":0.7917478721,"8.46":0.8625621434,"8.47":0.9394538977,"8.48":1.0216696803,"8.49":1.1082982296,"8.5":1.1982870261,"8.51":1.2904635369,"8.52":1.3835606004,"8.53":1.4762452362,"8.540000000000001":1.5671500251,"8.55":1.6549060974,"8.56":1.738176693,"8.57":1.8156902195,"8.58":1.8862717355,"8.59":1.9488718314,"8.6":2.0025919598,"8.61":2.0467053852,"8.620000000000001":2.0806730744,"8.63":2.1041540246,"8.64":2.1170097219,"8.65":2.1193026334,"8.66":2.1112888472,"8.67":2.0934051839,"8.68":2.0662512989,"8.69":2.0305674699,"8.700000000000001":1.9872089128,"8.71":1.9371175821,"8.72":1.881292492,"8.73":1.820759626,"8.74":1.7565425012,"8.75":1.6896344022,"8.76":1.6209732153,"8.77":1.5514196684,"8.78":1.4817396312,"8.790000000000001":1.4125909541,"8.8":1.344515129,"8.81":1.2779338598,"8.82":1.213150427,"8.83":1.1503555418,"8.84":1.0896372147,"8.85":1.03099401,"8.86":0.9743509431,"8.870000000000001":0.9195771914,"8.88":0.866504745,"8.89":0.8149471165,"8.9":0.7647172598,"8.91":0.7156439196,"8.92":0.6675857311,"8.93":0.6204425226,"8.94":0.574163419,"8.950000000000001":0.5287515138,"8.96":0.4842650426,"8.97":0.4408151624,"8.98":0.3985605981,"8.99":0.3576995594,"9.0":0.3184594494,"9.01":0.281084978,"9.02":0.245825347,"9.03":0.2129212024,"9.040000000000001":0.1825920356,"9.05":0.155024672,"9.06":0.1303634121,"9.07":0.108702288,"9.08":0.0900797799,"9.09":0.074476199,"9.1":0.0618138039,"9.11":0.0519595751,"9.120000000000001":0.0447304373,"9.13":0.0399005993,"9.14":0.037210584,"9.15":0.0363774405,"9.16":0.0371055903,"9.17":0.0390977377,"9.18":0.0420652911,"9.19":0.0457377858,"9.200000000000001":0.0498708671,"9.21":0.0542524872,"9.22":0.0587070759,"9.23":0.0630975697,"9.24":0.0673253044,"9.25":0.0713279014,"9.26":0.0750753901,"9.27":0.0785649046,"9.28":0.0818143729,"9.290000000000001":0.0848556645,"9.3":0.087727691,"9.31":0.0904699443,"9.32":0.0931169297,"9.33":0.0956938852,"9.34":0.0982140982,"9.35":0.1006780271,"9.36":0.1030743201,"9.370000000000001":0.1053826998,"9.38":0.1075785615,"9.39":0.109639016,"9.4":0.1115500069,"9.41":0.1133140484,"9.42":0.1149580725,"9.43":0.1165408423,"9.44":0.1181593884,"9.450000000000001":0.1199539552,"9.46":0.1221110032,"9.47":0.1248638987,"9.48":0.1284910342,"9.49":0.1333112465,"9.5":0.1396765388,"9.51":0.1479622554,"9.52":0.1585549965,"9.53":0.1718386871,"9.540000000000001":0.1881793295,"9.55":0.207909053,"9.56":0.231310138,"9.57":0.2585997191,"9.58":0.2899158676,"9.59":0.3253057164,"9.6":0.3647162193,"9.61":0.4079880375,"9.620000000000001":0.454852922,"9.63":0.5049348168,"9.64":0.557754754,"9.65":0.6127394488,"9.66":0.6692333476,"9.67":0.7265137336,"9.68":0.7838083631,"9.69":0.8403150002,"9.700000000000001":0.8952221379,"9.71":0.9477301453,"9.72":0.9970720696,"9.73":1.0425333401,"9.74":1.0834696764,"9.75":1.119322586,"9.76":1.1496319462,"9.77":1.1740452941,"9.78":1.1923235931,"9.790000000000001":1.2043433927,"9.8":1.2100954496,"9.81":1.2096800202,"9.82":1.203299162,"9.83":1.1912464926,"9.84":1.173894936,"9.85":1.151683047,"9.86":1.1251005273,"9.870000000000001":1.0946735486,"9.88":1.0609504642,"9.89":1.0244884332,"9.9":0.9858414039,"9.91":0.9455498026,"9.92":0.9041321679,"9.93":0.862078853,"9.94":0.819847805,"9.950000000000001":0.7778623213,"9.96":0.7365105862,"9.97":0.6961467088,"9.98":0.6570929254,"9.99":0.6196425872,"10.0":0.584063543},"2":{"5.0":0.0240830399,"5.01":0.01759788,"5.0200000000000005":0.0122516541,"5.03":0.0081242188,"5.04":0.0052704582,"5.05":0.0037229222,"5.0600000000000005":0.0034953873,"5.07":0.0045870809,"5.08":0.006987282,"5.09":0.0106800044,"5.1000000000000005":0.0156484736,"5.11":0.021879128,"5.12":0.029364913,"5.13":0.0381076788,"5.14":0.04811955,"5.15":0.0594231935,"5.16":0.0720509774,"5.17":0.0860430731,"5.18":0.1014446132,"5.19":0.1183020694,"5.2":0.1366590547,"5.21":0.1565517883,"5.22":0.178004475,"5.23":0.2010248567,"5.24":0.2256001838,"5.25":0.2516938299,"5.26":0.2792427385,"5.2700000000000005":0.3081558482,"5.28":0.3383135877,"5.29":0.3695684808,"5.3":0.40174684,"5.3100000000000005":0.4346514762,"5.32":0.4680652988,"5.33":0.5017556385,"5.34":0.5354790922,"5.3500000000000005":0.5689866658,"5.36":0.6020289816,"5.37":0.634361319,"5.38":0.6657482726,"5.39":0.6959678377,"5.4":0.724814769,"5.41":0.752103102,"5.42":0.777667776,"5.43":0.8013653467,"5.44":0.8230738297,"5.45":0.8426917614,"5.46":0.8601366068,"5.47":0.8753426748,"5.48":0.8882587287,"5.49":0.898845488,"5.5":0.9070732194,"5.51":0.9129196054,"5.5200000000000005":0.9163680532,"5.53":0.9174065764,"5.54":0.9160273429,"5.55":0.9122269328,"5.5600000000000005":0.9060073067,"5.57":0.897377431,"5.58":0.8863554629,"5.59":0.8729713563,"5.6000000000000005":0.8572697148,"5.61":0.8393126949,"5.62":0.8191827488,"5.63":0.7969849946,"5.64":0.7728490137,"5.65":0.7469298945,"5.66":0.71940838,"5.67":0.6904900122,"5.68":0.660403221,"5.69":0.6293963561,"5.7":0.5977337147,"5.71":0.5656906729,"5.72":0.5335480788,"5.73":0.501586106,"5.74":0.4700778025,"5.75":0.4392825914,"5.76":0.4094399923,"5.7700000000000005":0.3807638279,"5.78":0.3534371689,"5.79":0.3276082382,"5.8":0.3033874626,"5.8100000000000005":0.2808458079,"5.82":0.2600144813,"5.83":0.2408860244,"5.84":0.2234167612,"5.8500000000000005":0.2075305041,"5.86":0.1931233667,"5.87":0.1800694843,"5.88":0.1682274024,"5.89":0.1574468663,"5.9":0.1475757287,"5.91":0.1384666872,"5.92":0.129983576,"5.93":0.1220069568,"5.94":0.1144387865,"5.95":0.1072059842,"5.96":0.100262769,"5.97":0.0935916956,"5.98":0.0872033738,"5.99":0.0811349122,"6.0":0.0754471852,"6.01":0.0702210661,"6.0200000000000005":0.0655528151,"6.03":0.0615488389,"6.04":0.0583200623,"6.05":0.0559761602,"6.0600000000000005":0.0546198993,"6.07":0.054341824,"6.08":0.0552154985,"6.09":0.0572934896,"6.1000000000000005":0.0606042302,"6.11":0.0651498676,"6.12":0.0709051489,"6.13":0.0778173558,"6.140000000000001":0.0858072509,"6.15":0.0947709635,"6.16":0.104582703,"6.17":0.1150981621,"6.18":0.1261584543,"6.19":0.1375944123,"6.2":0.1492310778,"6.21":0.1608922121,"6.22":0.1724046714,"6.23":0.1836025086,"6.24":0.194330685,"6.25":0.2044483016,"6.26":0.2138312881,"6.2700000000000005":0.2223745134,"6.28":0.2299933085,"6.29":0.2366244153,"6.3":0.2422263947,"6.3100000000000005":0.2467795411,"6.32":0.2502853607,"6.33":0.2527656763,"6.34":0.2542614203,"6.3500000000000005":0.254831175,"6.36":0.2545495105,"6.37":0.2535051627,"6.38":0.2517990828,"6.390000000000001":0.2495423787,"6.4":0.2468541607,"6.41":0.2438592965,"6.42":0.2406860764,"6.43":0.2374637886,"6.44":0.2343202091,"6.45":0.2313790154,"6.46":0.2287571453,"6.47":0.2265621327,"6.48":0.2248894665,"6.49":0.2238200352,"6.5":0.2234177304,"6.51":0.2237272959,"6.5200000000000005":0.2247725164,"6.53":0.2265548458,"6.54":0.2290525692,"6.55":0.2322205908,"6.5600000000000005":0.2359909231,"6.57":0.240273934,"6.58":0.2449603847,"6.59":0.2499242592,"6.6000000000000005":0.2550263575,"6.61":0.2601185829,"6.62":0.2650488259,"6.63":0.2696663063,"6.640000000000001":0.2738272104,"6.65":0.2774004301,"6.66":0.2802731961,"6.67":0.282356384,"6.68":0.2835892736,"6.69":0.2839435488,"6.7":0.2834263444,"6.71":0.2820821755,"6.72":0.2799936223,"6.73":0.2772806853,"6.74":0.2740987799,"6.75":0.2706353908,"6.76":0.2671054624,"6.7700000000000005":0.2637456553,"6.78":0.2608076503,"6.79":0.2585507229,"6.8":0.2572338504,"6.8100000000000005":0.2571076361,"6.82":0.2584063506,"6.83":0.2613403914,"6.84":0.2660894494,"6.8500000000000005":0.2727966471,"6.86":0.2815638776,"6.87":0.2924485248,"6.88":0.3054616918,"6.890000000000001":0.3205680015,"6.9":0.3376869705,"6.91":0.3566958877,"6.92":0.3774340706,"6.93":0.3997083102,"6.94":0.4232992671,"6.95":0.447968542,"6.96":0.4734661138,"6.97":0.4995378272,"6.98":0.5259326099,"6.99":0.5524091153,"7.0":0.5787415148,"7.01":0.6047242049,"7.0200000000000005":0.6301752461,"7.03":0.6549384134,"7.04":0.6788838008,"7.05":0.7019069951,"7.0600000000000005":0.7239269019,"7.07":0.7448823706,"7.08":0.7647278267,"7.09":0.7834281668,"7.1000000000000005":0.8009532096,"7.11":0.8172720228,"7.12":0.8323474505,"7.13":0.8461311644,"7.140000000000001":0.858559538,"7.15":0.869550609,"7.16":0.8790023454,"7.17":0.8867923728,"7.18":0.8927792523,"7.19":0.8968053258,"7.2":0.8987010713,"7.21":0.8982908353,"7.22":0.8953997439,"7.23":0.889861529,"7.24":0.881526958,"7.25":0.8702725156,"7.26":0.8560089633,"7.2700000000000005":0.8386893952,"7.28":0.8183164145,"7.29":0.7949480832,"7.3":0.7687023332,"7.3100000000000005":0.7397595843,"7.32":0.7083633751,"7.33":0.6748188892,"7.34":0.6394893385,"7.3500000000000005":0.6027902463,"7.36":0.5651817545,"7.37":0.5271591598,"7.38":0.4892419493,"7.390000000000001":0.4519616726,"7.4":0.4158490289,"7.41":0.3814205899,"7.42":0.3491655888,"7.43":0.3195332161,"7.44":0.2929208422,"7.45":0.2696635619,"7.46":0.2500254075,"7.47":0.2341925222,"7.48":0.2222685183,"7.49":0.214272167,"7.5":0.2101374884,"7.51":0.2097162281,"7.5200000000000005":0.2127826232,"7.53":0.2190402888,"7.54":0.228130982,"7.55":0.2396449433,"7.5600000000000005":0.2531324678,"7.57":0.2681163193,"7.58":0.2841045864,"7.59":0.3006035682,"7.6000000000000005":0.317130288,"7.61":0.3332242579,"7.62":0.3484581489,"7.63":0.3624470725,"7.640000000000001":0.3748562324,"7.65":0.3854067685,"7.66":0.3938796858,"7.67":0.4001178238,"7.68":0.4040258978,"7.69":0.4055687018,"7.7":0.4047676262,"7.71":0.4016956945,"7.72":0.3964713633,"7.73":0.3892513661,"7.74":0.3802228979,"7.75":0.3695954481,"7.76":0.3575925877,"7.7700000000000005":0.3442025926,"7.78":0.3296634477,"7.79":0.3148429919,"7.8":0.2999540195,"7.8100000000000005":0.2848047686,"7.82":0.2691115526,"7.83":0.2534232366,"7.84":0.2378562152,"7.8500000000000005":0.222501778,"7.86":0.2074273861,"7.87":0.1926789221,"7.88":0.1782837556,"7.890000000000001":0.1642544439,"7.9":0.1505928717,"7.91":0.137294628,"7.92":0.1243534201,"7.930000000000001":0.1117653354,"7.94":0.0995327759,"7.95":0.0876679169,"7.96":0.0761955632,"7.97":0.0651553124,"7.98":0.054602962,"7.99":0.0446111337,"8.0":0.0352691169,"8.01":0.0266819656,"8.02":0.0189689061,"8.03":0.0122611379,"8.040000000000001":0.0066991235,"8.05":0.0024294783,"8.06":0.0,"8.07":0.0,"8.08":0.0,"8.09":0.0012282141,"8.1":0.0055908798,"8.11":0.0120588522,"8.120000000000001":0.0207245956,"8.13":0.0316603907,"8.14":0.0449160889,"8.15":0.0605172406,"8.16":0.0784635988,"8.17":0.0987279903,"8.18":0.1212555381,"8.19":0.1459632179,"8.2":0.1727397256,"8.21":0.2014456391,"8.22":0.2319138599,"8.23":0.2639503267,"8.24":0.2973350012,"8.25":0.3318231344,"8.26":0.3671468274,"8.27":0.4030169094,"8.28":0.4391251573,"8.290000000000001":0.4751468848,"8.3":0.510743924,"8.31":0.5455680203,"8.32":0.5792646501,"8.33":0.6114772594,"8.34":0.6418519048,"8.35":0.6700422616,"8.36":0.6957149419,"8.370000000000001":0.718555048,"8.38":0.7382718614,"8.39":0.7546045541,"8.4":0.7673277875,"8.41":0.7762570544,"8.42":0.7812536092,"8.43":0.7822288292,"8.44":0.7791478524,"8.45":0.7720323449,"8.46":0.7609622679,"8.47":0.7460765331,"8.48":0.727572464,"8.49":0.7057040098,"8.5":0.6807786958,"8.51":0.653153328,"8.52":0.6232285121,"8.53":0.5914420818,"8.540000000000001":0.558261569,"8.55":0.5241758808,"8.56":0.4896863753,"8.57":0.4552975524,"8.58":0.4215075891,"8.59":0.3887989573,"8.6":0.357629362,"8.61":0.3284232305,"8.620000000000001":0.301563966,"8.63":0.277387158,"8.64":0.256174911,"8.65":0.2381514208,"8.66":0.2234798882,"8.67":0.2122608209,"8.68":0.204531732,"8.69":0.2002682042,"8.700000000000001":0.1993862496,"8.71":0.2017458615,"8.72":0.2071556228,"8.73":0.215378213,"8.74":0.2261366366,"8.75":0.2391209844,"8.76":0.2539955354,"8.77":0.270406008,"8.78":0.2879867788,"8.790000000000001":0.3063679001,"8.8":0.3251817661,"8.81":0.3440693002,"8.82":0.3626855599,"8.83":0.3807046814,"8.84":0.397824114,"8.85":0.4137681161,"8.86":0.4282905126,"8.870000000000001":0.4411767297,"8.88":0.4522451438,"8.89":0.4613477946,"8.9":0.4683705212,"8.91":0.473232588,"8.92":0.4758858703,"8.93":0.4763136663,"8.94":0.4745292035,"8.950000000000001":0.4705738981,"8.96":0.4645154228,"8.97":0.4564456281,"8.98":0.4464783562,"8.99":0.4347471796,"9.0":0.4214030888,"9.01":0.4066121483,"9.02":0.3905531385,"9.03":0.3734151938,"9.040000000000001":0.3553954523,"9.05":0.3366967269,"9.06":0.3175252127,"9.07":0.2980882447,"9.08":0.278592124,"9.09":0.2592400292,"9.1":0.2402300362,"9.11":0.2217532634,"9.120000000000001":0.2039921645,"9.13":0.1871189862,"9.14":0.1712944052,"9.15":0.1566663558,"9.16":0.1433690539,"9.17":0.1315222152,"9.18":0.121230463,"9.19":0.1125829115,"9.200000000000001":0.1056529047,"9.21":0.10049789,"9.22":0.0971593958,"9.23":0.0956630868,"9.24":0.0960188653,"9.25":0.0982209922,"9.26":0.1022482032,"9.27":0.1080638025,"9.28":0.1156157223,"9.290000000000001":0.1248365463,"9.3":0.1356435042,"9.31":0.1479384528,"9.32":0.1616078706,"9.33":0.1765228995,"9.34":0.1925394748,"9.35":0.2094985902,"9.36":0.2272267466,"9.370000000000001":0.2455366335,"9.38":0.2642280907,"9.39":0.2830893886,"9.4":0.3018988625,"9.41":0.3204269192,"9.42":0.3384384268,"9.43":0.3556954809,"9.44":0.3719605245,"9.450000000000001":0.3869997852,"9.46":0.400586977,"9.47":0.4125071973,"9.48":0.4225609405,"9.49":0.4305681365,"9.5":0.4363721156,"9.51":0.4398433962,"9.52":0.4408831913,"9.53":0.4394265305,"9.540000000000001":0.4354449003,"9.55":0.4289483156,"9.56":0.4199867441,"9.57":0.4086508207,"9.58":0.3950718068,"9.59":0.3794207628,"9.6":0.3619069247,"9.61":0.3427752915,"9.620000000000001":0.3223034492,"9.63":0.3007976772,"9.64":0.2785883946,"9.65":0.2560250257,"9.66":0.2334703697,"9.67":0.2112945791,"9.68":0.1898688526,"9.69":0.169558962,"9.700000000000001":0.1507187325,"9.71":0.1336836013,"9.72":0.1187643789,"9.73":0.1062413353,"9.74":0.0963587307,"9.75":0.0893199033,"9.76":0.0852830203,"9.77":0.0843575875,"9.78":0.0866018017,"9.790000000000001":0.0920208178,"9.8":0.1005659838,"9.81":0.112135085,"9.82":0.1265736145,"9.83":0.143677071,"9.84":0.1631942627,"9.85":0.1848315715,"9.86":0.2082581141,"9.870000000000001":0.2331117098,"9.88":0.2590055461,"9.89":0.2855354132,"9.9":0.3122873586,"9.91":0.3388456025,"9.92":0.3648005387,"9.93":0.3897566427,"9.94":0.4133401043,"9.950000000000001":0.4352060066,"9.96":0.4550448806,"9.97":0.4725884786,"9.98":0.4876146299,"9.99":0.4999510636,"10.0":0.5094781143}} +{"0":{"5.0":7.1999077361,"5.01":7.4461317174,"5.0200000000000005":7.6239511119,"5.03":7.7311742501,"5.04":7.7666142304,"5.05":7.730025899,"5.0600000000000005":7.6220188929,"5.07":7.4439517569,"5.08":7.197812772,"5.09":6.8860935188,"5.1000000000000005":6.5116613409,"5.11":6.0776367532,"5.12":5.5872814749,"5.13":5.0504842886,"5.14":4.5021611309,"5.15":3.9483313197,"5.16":3.398109249,"5.17":2.8502464452,"5.18":2.3226890607,"5.19":1.8396233292,"5.2":1.3767791294,"5.21":0.9615890407,"5.22":0.600848513,"5.23":0.3087402995,"5.24":0.1059237644,"5.25":0.0026372723,"5.26":0.0,"5.2700000000000005":0.0,"5.28":0.0,"5.29":0.0,"5.3":0.0,"5.3100000000000005":0.0,"5.32":0.0,"5.33":0.0,"5.34":0.0,"5.3500000000000005":0.0,"5.36":0.0,"5.37":0.0,"5.38":0.0,"5.39":0.0,"5.4":0.0,"5.41":0.0,"5.42":0.001119738,"5.43":0.040813812,"5.44":0.2785669314,"5.45":0.7327096643,"5.46":1.4801285497,"5.47":2.398846111,"5.48":3.3835909688,"5.49":4.4250550205,"5.5":5.5389797336,"5.51":6.861084767,"5.5200000000000005":8.3703194648,"5.53":9.9644286684,"5.54":11.589814601,"5.55":13.2115936285,"5.5600000000000005":14.7881432835,"5.57":16.2849353582,"5.58":17.67754611,"5.59":18.9401105852,"5.6000000000000005":20.0535841176,"5.61":21.0022190614,"5.62":21.7734691912,"5.63":22.3582516209,"5.64":22.751127609,"5.65":22.9504530894,"5.66":22.9583835508,"5.67":22.7807652075,"5.68":22.4269155241,"5.69":21.9093003843,"5.7":21.2431191795,"5.71":20.4458126646,"5.72":19.5365114278,"5.73":18.5354451088,"5.74":17.4633339654,"5.75":16.3407620067,"5.76":15.1882268376,"5.7700000000000005":14.0252508095,"5.78":12.8711999047,"5.79":11.7429531948,"5.8":10.658300031,"5.8100000000000005":9.6715910617,"5.82":8.7825250382,"5.83":8.0122828786,"5.84":7.3178883269,"5.8500000000000005":6.6938795462,"5.86":6.1542729953,"5.87":5.7207810561,"5.88":5.3395047084,"5.89":5.0041382464,"5.9":4.7108001672,"5.91":4.4523161553,"5.92":4.2221999412,"5.93":4.0418230425,"5.94":3.8828153954,"5.95":3.729173077,"5.96":3.5762595268,"5.97":3.4195512083,"5.98":3.2551377032,"5.99":3.0799899052,"6.0":2.9017236924,"6.01":2.7111514817,"6.0200000000000005":2.5023743141,"6.03":2.2753324036,"6.04":2.0311391997,"6.05":1.7713843839,"6.0600000000000005":1.5025515753,"6.07":1.2355489996,"6.08":0.9663461317,"6.09":0.6989421016,"6.1000000000000005":0.4540885613,"6.11":0.2350761926,"6.12":0.084618551,"6.13":0.0051025595,"6.140000000000001":0.0000836928,"6.15":0.0,"6.16":0.0,"6.17":0.0,"6.18":0.0,"6.19":0.0,"6.2":0.0,"6.21":0.0,"6.22":0.0,"6.23":0.0,"6.24":0.0,"6.25":0.0,"6.26":0.0,"6.2700000000000005":0.0,"6.28":0.0,"6.29":0.0,"6.3":0.0,"6.3100000000000005":0.0,"6.32":0.0,"6.33":0.0,"6.34":0.0,"6.3500000000000005":0.0,"6.36":0.0,"6.37":0.0777721188,"6.38":0.2704938766,"6.390000000000001":0.5477188161,"6.4":0.9030226174,"6.41":1.3158473714,"6.42":1.7404037006,"6.43":2.1560167016,"6.44":2.5902526257,"6.45":3.016528824,"6.46":3.4141492679,"6.47":3.7851125451,"6.48":4.1152806495,"6.49":4.402807499,"6.5":4.6462813938,"6.51":4.8452684269,"6.5200000000000005":5.0010271332,"6.53":5.1161910106,"6.54":5.1943078124,"6.55":5.2400368851,"6.5600000000000005":5.258836567,"6.57":5.2569079789,"6.58":5.2405824836,"6.59":5.2162761358,"6.6000000000000005":5.19026965,"6.61":5.1684445719,"6.62":5.1561677575,"6.63":5.1579754042,"6.640000000000001":5.1772389752,"6.65":5.2164518156,"6.66":5.277001849,"6.67":5.3582536015,"6.68":5.4589659149,"6.69":5.581829716,"6.7":5.7199353806,"6.71":5.8765331201,"6.72":6.0558973036,"6.73":6.2376203117,"6.74":6.4157774996,"6.75":6.5846871607,"6.76":6.7374636458,"6.7700000000000005":6.8684056121,"6.78":6.9719195625,"6.79":7.0426414546,"6.8":7.0756633329,"6.8100000000000005":7.0666105216,"6.82":7.0117022206,"6.83":6.9077982174,"6.84":6.7524349853,"6.8500000000000005":6.5438546551,"6.86":6.2803453185,"6.87":5.9627556579,"6.88":5.5913877094,"6.890000000000001":5.1703078422,"6.9":4.7280624438,"6.91":4.2720182799,"6.92":3.7819044334,"6.93":3.2645244784,"6.94":2.7300295084,"6.95":2.2290985054,"6.96":1.7192404324,"6.97":1.2281293029,"6.98":0.7958936822,"6.99":0.4515098937,"7.0":0.2083112683,"7.01":0.0564833626,"7.0200000000000005":0.0008299623,"7.03":0.0000685355,"7.04":0.0,"7.05":0.0,"7.0600000000000005":0.0,"7.07":0.0,"7.08":0.0,"7.09":0.0,"7.1000000000000005":0.0,"7.11":0.0,"7.12":0.0005362308,"7.13":0.0234123389,"7.140000000000001":0.1401352981,"7.15":0.3530729298,"7.16":0.6649401273,"7.17":1.0739377281,"7.18":1.5963604675,"7.19":2.224865682,"7.2":2.9151043069,"7.21":3.6478090168,"7.22":4.3724965286,"7.23":5.0828337614,"7.24":5.8024849536,"7.25":6.4799393584,"7.26":7.1000597581,"7.2700000000000005":7.6513734843,"7.28":8.192029729,"7.29":8.6440119836,"7.3":9.0038933383,"7.3100000000000005":9.2837582029,"7.32":9.4488433182,"7.33":9.5087392825,"7.34":9.4572797108,"7.3500000000000005":9.2966054974,"7.36":9.0348992821,"7.37":8.6827741037,"7.38":8.2591582912,"7.390000000000001":7.7767805961,"7.4":7.2440718731,"7.41":6.7018192656,"7.42":6.1377023937,"7.43":5.5722597377,"7.44":5.0159887768,"7.45":4.5070399944,"7.46":4.0075912473,"7.47":3.5249101279,"7.48":3.0635302782,"7.49":2.6196162976,"7.5":2.2272616703,"7.51":1.8704513986,"7.5200000000000005":1.5357194498,"7.53":1.2224367265,"7.54":0.9538547905,"7.55":0.7178408268,"7.5600000000000005":0.5059485531,"7.57":0.3312221752,"7.58":0.1958711202,"7.59":0.0925142314,"7.6000000000000005":0.0235412203,"7.61":0.0000534197,"7.62":0.0,"7.63":0.0,"7.640000000000001":0.0,"7.65":0.0,"7.66":0.0,"7.67":0.0,"7.68":0.0,"7.69":0.0,"7.7":0.0,"7.71":0.0,"7.72":0.0,"7.73":0.0,"7.74":0.0,"7.75":0.0,"7.76":0.0,"7.7700000000000005":0.0,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0,"7.82":0.0,"7.83":0.0,"7.84":0.0,"7.8500000000000005":0.0,"7.86":0.0,"7.87":0.0,"7.88":0.0,"7.890000000000001":0.0,"7.9":0.0,"7.91":0.0,"7.92":0.0,"7.930000000000001":0.0,"7.94":0.0,"7.95":0.0083266324,"7.96":0.0754721463,"7.97":0.1760832387,"7.98":0.3315201658,"7.99":0.5125157259,"8.0":0.7140462002,"8.01":0.9286102161,"8.02":1.1560924953,"8.03":1.3869295326,"8.040000000000001":1.6228946374,"8.05":1.8381471979,"8.06":2.0224731153,"8.07":2.1744146769,"8.08":2.2924215272,"8.09":2.3748297045,"8.1":2.4198471315,"8.11":2.4255484098,"8.120000000000001":2.3898818436,"8.13":2.3341818774,"8.14":2.2671390517,"8.15":2.1935439982,"8.16":2.1258950268,"8.17":2.0645590216,"8.18":2.0070520959,"8.19":1.9541866806,"8.2":1.9170313637,"8.21":1.8845704109,"8.22":1.8581862849,"8.23":1.8223906765,"8.24":1.8089843459,"8.25":1.7843339997,"8.26":1.7534972632,"8.27":1.7229781145,"8.28":1.6802162626,"8.290000000000001":1.6292634004,"8.3":1.5745466597,"8.31":1.5202976333,"8.32":1.4798225588,"8.33":1.4538581023,"8.34":1.4440643933,"8.35":1.4586934709,"8.36":1.5062589293,"8.370000000000001":1.5952708856,"8.38":1.7339538808,"8.39":1.9299571237,"8.4":2.1900671452,"8.41":2.51993323,"8.42":2.9238158811,"8.43":3.4043680667,"8.44":3.9624580926,"8.45":4.6154787068,"8.46":5.385580752,"8.47":6.2941542733,"8.48":7.3098234295,"8.49":8.4398767199,"8.5":9.6426615008,"8.51":10.9126747711,"8.52":12.216060902,"8.53":13.5447065953,"8.540000000000001":14.8848665564,"8.55":16.2011585316,"8.56":17.4684015769,"8.57":18.669427422,"8.58":19.7838481761,"8.59":20.7937284168,"8.6":21.6832678185,"8.61":22.4391150214,"8.620000000000001":23.0507681893,"8.63":23.4892105595,"8.64":23.7925702247,"8.65":23.9397284901,"8.66":23.9318407609,"8.67":23.7731262261,"8.68":23.470360026,"8.69":23.0324857978,"8.700000000000001":22.4702712469,"8.71":21.7959918241,"8.72":21.0230003962,"8.73":20.165393689,"8.74":19.2395090964,"8.75":18.2645516789,"8.76":17.2416260023,"8.77":16.1782501623,"8.78":15.103418926,"8.790000000000001":14.0253786514,"8.8":12.9646931361,"8.81":11.9241973022,"8.82":10.920460936,"8.83":9.9504680693,"8.84":9.0063654066,"8.85":8.1216205038,"8.86":7.2802648663,"8.870000000000001":6.4691013082,"8.88":5.723974021,"8.89":5.0400420897,"8.9":4.380503601,"8.91":3.7453842228,"8.92":3.138432188,"8.93":2.6011031601,"8.94":2.0817612528,"8.950000000000001":1.5812809755,"8.96":1.1451074853,"8.97":0.7590837891,"8.98":0.4519552723,"8.99":0.219087756,"9.0":0.06417606,"9.01":0.0001501269,"9.02":0.0,"9.03":0.0,"9.040000000000001":0.0,"9.05":0.0,"9.06":0.0,"9.07":0.0,"9.08":0.0,"9.09":0.0,"9.1":0.0,"9.11":0.0,"9.120000000000001":0.0,"9.13":0.0,"9.14":0.0,"9.15":0.0,"9.16":0.0,"9.17":0.0,"9.18":0.0,"9.19":0.0,"9.200000000000001":0.0,"9.21":0.0,"9.22":0.0,"9.23":0.0,"9.24":0.0,"9.25":0.0,"9.26":0.0,"9.27":0.0,"9.28":0.0,"9.290000000000001":0.0,"9.3":0.0,"9.31":0.0,"9.32":0.0,"9.33":0.0,"9.34":0.0,"9.35":0.0,"9.36":0.0,"9.370000000000001":0.0,"9.38":0.0,"9.39":0.0,"9.4":0.0,"9.41":0.0,"9.42":0.0,"9.43":0.0,"9.44":0.0,"9.450000000000001":0.0,"9.46":0.0,"9.47":0.0,"9.48":0.0,"9.49":0.0,"9.5":0.0,"9.51":0.0,"9.52":0.0,"9.53":0.0,"9.540000000000001":0.0,"9.55":0.0,"9.56":0.0,"9.57":0.0,"9.58":0.0105586793,"9.59":0.1038686365,"9.6":0.2761964067,"9.61":0.5271977673,"9.620000000000001":0.8756900815,"9.63":1.2963805058,"9.64":1.7699451812,"9.65":2.3496361446,"9.66":2.9624584753,"9.67":3.6220462416,"9.68":4.3286023914,"9.69":5.1083598053,"9.700000000000001":5.8905059619,"9.71":6.6642642498,"9.72":7.4165899691,"9.73":8.131439105,"9.74":8.7872087915,"9.75":9.3606340624,"9.76":9.8321518754,"9.77":10.1881175051,"9.78":10.4218207503,"9.790000000000001":10.5335424597,"9.8":10.5310357851,"9.81":10.4282225443,"9.82":10.2432273036,"9.83":9.9953041665,"9.84":9.695643277,"9.85":9.3467703879,"9.86":8.9571513775,"9.870000000000001":8.5366425501,"9.88":8.089258353,"9.89":7.6290980016,"9.9":7.160627275,"9.91":6.685077985,"9.92":6.2208156534,"9.93":5.7468909949,"9.94":5.2758480844,"9.950000000000001":4.8154542994,"9.96":4.3598453905,"9.97":3.9144912775,"9.98":3.485002964,"9.99":3.0764563429,"10.0":2.6994959838},"1":{"5.0":5.4870471173,"5.01":5.7534947882,"5.0200000000000005":5.9856791936,"5.03":6.1753807836,"5.04":6.3167323841,"5.05":6.4060717515,"5.0600000000000005":6.4417018011,"5.07":6.4235785332,"5.08":6.35294888,"5.09":6.2319616667,"5.1000000000000005":6.0632746372,"5.11":5.8496791044,"5.12":5.5937613637,"5.13":5.3137663891,"5.14":5.097595258,"5.15":4.9590129218,"5.16":4.9096049801,"5.17":4.937520778,"5.18":5.0822837029,"5.19":5.3979803658,"5.2":5.8113053491,"5.21":6.3815259693,"5.22":7.1130612796,"5.23":8.0265307486,"5.24":9.151799866,"5.25":10.5003646693,"5.26":12.0620980099,"5.2700000000000005":13.5702968621,"5.28":14.9995582121,"5.29":16.3305347549,"5.3":17.5431169195,"5.3100000000000005":18.6152995249,"5.32":19.524516468,"5.33":20.2474680178,"5.34":20.7604250198,"5.3500000000000005":21.039621544,"5.36":21.061735471,"5.37":20.8045544979,"5.38":20.2496475056,"5.39":19.3765769039,"5.4":18.1727743341,"5.41":16.6246974929,"5.42":14.7280408391,"5.43":12.5782206653,"5.44":10.5827464791,"5.45":8.8201485959,"5.46":7.488627552,"5.47":6.2912424153,"5.48":4.9971655574,"5.49":3.6203296095,"5.5":2.2430311357,"5.51":1.2799828504,"5.5200000000000005":0.7397423543,"5.53":0.4142513194,"5.54":0.1877674325,"5.55":0.0716392517,"5.5600000000000005":0.0217123316,"5.57":0.0018310287,"5.58":0.0,"5.59":0.0,"5.6000000000000005":0.0,"5.61":0.0,"5.62":0.0,"5.63":0.0,"5.64":0.0,"5.65":0.0,"5.66":0.0,"5.67":0.0,"5.68":0.0,"5.69":0.0,"5.7":0.0,"5.71":0.0,"5.72":0.0,"5.73":0.0,"5.74":0.0,"5.75":0.0,"5.76":0.0017018031,"5.7700000000000005":0.0074778793,"5.78":0.0238781887,"5.79":0.0546562294,"5.8":0.1159839479,"5.8100000000000005":0.3285084744,"5.82":0.6745032679,"5.83":1.210530854,"5.84":1.7733633087,"5.8500000000000005":2.3731151485,"5.86":3.0550987168,"5.87":3.8799140833,"5.88":4.7255770756,"5.89":5.5852016521,"5.9":6.4639338484,"5.91":7.362316905,"5.92":8.2793381528,"5.93":9.2837360737,"5.94":10.3120627713,"5.95":11.3307106205,"5.96":12.331419406,"5.97":13.3040634978,"5.98":14.2379599091,"5.99":15.1185519929,"6.0":15.9601610715,"6.01":16.7279635112,"6.0200000000000005":17.3967588182,"6.03":17.9553698766,"6.04":18.3946976444,"6.05":18.710265442,"6.0600000000000005":18.9096794518,"6.07":19.0161545143,"6.08":19.0154867077,"6.09":18.9181918334,"6.1000000000000005":18.7781041581,"6.11":18.6135576172,"6.12":18.5364748004,"6.13":18.5515831436,"6.140000000000001":18.6891536431,"6.15":18.751118379,"6.16":18.7810448534,"6.17":18.7643970414,"6.18":18.7090417403,"6.19":18.5914635914,"6.2":18.4777184409,"6.21":18.3369920275,"6.22":18.168229363,"6.23":17.9678069797,"6.24":17.7297098259,"6.25":17.4458643474,"6.26":17.106149193,"6.2700000000000005":16.7015437275,"6.28":16.2197895971,"6.29":15.6503488399,"6.3":14.9838244388,"6.3100000000000005":14.212692947,"6.32":13.3319541481,"6.33":12.3396786664,"6.34":11.2374222288,"6.3500000000000005":10.0304817699,"6.36":8.7279763929,"6.37":7.5411420797,"6.38":6.5783647041,"6.390000000000001":5.7786156294,"6.4":5.1649914195,"6.41":4.7025851536,"6.42":4.291840413,"6.43":3.9032296133,"6.44":3.6331458916,"6.45":3.4329429974,"6.46":3.2670795576,"6.47":3.1559761098,"6.48":3.0735908073,"6.49":3.0220511998,"6.5":2.999983218,"6.51":3.0036587662,"6.5200000000000005":3.0294820679,"6.53":3.073521354,"6.54":3.129928823,"6.55":3.1933424566,"6.5600000000000005":3.2578921818,"6.57":3.3186765197,"6.58":3.3702306248,"6.59":3.4075758784,"6.6000000000000005":3.4265865262,"6.61":3.4239882909,"6.62":3.3979117747,"6.63":3.3468124735,"6.640000000000001":3.2702100417,"6.65":3.1688613828,"6.66":3.0444700482,"6.67":2.8972042475,"6.68":2.7292602124,"6.69":2.5565646314,"6.7":2.3725457056,"6.71":2.1999600095,"6.72":2.0661834888,"6.73":1.9347381776,"6.74":1.8079566983,"6.75":1.6900244109,"6.76":1.5780480453,"6.7700000000000005":1.4770254969,"6.78":1.3896921741,"6.79":1.3176947639,"6.8":1.2625023219,"6.8100000000000005":1.225465501,"6.82":1.2078808206,"6.83":1.2110532307,"6.84":1.2363501984,"6.8500000000000005":1.2852409503,"6.86":1.3538840293,"6.87":1.4491897599,"6.88":1.5723123933,"6.890000000000001":1.7331651982,"6.9":2.0032542182,"6.91":2.3956636411,"6.92":2.8474740946,"6.93":3.3647593507,"6.94":3.9591866357,"6.95":4.7484668827,"6.96":5.5962336146,"6.97":6.5494034117,"6.98":7.6806775215,"6.99":9.03839,"7.0":10.6285413411,"7.01":12.378563722,"7.0200000000000005":14.2623126684,"7.03":16.1386953899,"7.04":17.830502841,"7.05":19.2988452297,"7.0600000000000005":20.5083281541,"7.07":21.4257113884,"7.08":22.0226198444,"7.09":22.2758384101,"7.1000000000000005":22.1682460646,"7.11":21.6896207816,"7.12":20.8387020111,"7.13":19.6769604939,"7.140000000000001":18.4007471863,"7.15":17.0341864011,"7.16":15.6146354543,"7.17":14.1823374772,"7.18":12.8284139114,"7.19":11.5740151296,"7.2":10.3546327391,"7.21":9.1801940806,"7.22":7.9771963946,"7.23":6.7877572909,"7.24":5.7329266603,"7.25":4.7291995788,"7.26":3.7859396029,"7.2700000000000005":2.9162374446,"7.28":2.3114989725,"7.29":1.7939207655,"7.3":1.376149086,"7.3100000000000005":1.1035530025,"7.32":0.8872794206,"7.33":0.7490540245,"7.34":0.6606330259,"7.3500000000000005":0.6070652918,"7.36":0.5865212692,"7.37":0.596948085,"7.38":0.6543906724,"7.390000000000001":0.7557920652,"7.4":0.8845315097,"7.41":1.1118596301,"7.42":1.3665439552,"7.43":1.6683448149,"7.44":2.0120984412,"7.45":2.4700662046,"7.46":2.9173358354,"7.47":3.3529235369,"7.48":3.7735454848,"7.49":4.1584564368,"7.5":4.5906300711,"7.51":5.025902204,"7.5200000000000005":5.4303836943,"7.53":5.8072951575,"7.54":6.2262615282,"7.55":6.6634549652,"7.5600000000000005":7.1043618718,"7.57":7.5911482003,"7.58":8.1345603599,"7.59":8.7264430064,"7.6000000000000005":9.3796413405,"7.61":10.1284676318,"7.62":10.9212276125,"7.63":11.6996775779,"7.640000000000001":12.4634358009,"7.65":13.2103793535,"7.66":13.9366770824,"7.67":14.6370412571,"7.68":15.3050377489,"7.69":15.9334375058,"7.7":16.5145917641,"7.71":17.0408138663,"7.72":17.5047516578,"7.73":17.8997360719,"7.74":18.2200935654,"7.75":18.4614123959,"7.76":18.6207551945,"7.7700000000000005":18.6968127733,"7.78":18.4427264623,"7.79":18.3172063103,"7.8":18.3607306865,"7.8100000000000005":18.2026833696,"7.82":17.9030178201,"7.83":17.5473850087,"7.84":17.1451868052,"7.8500000000000005":16.7066480454,"7.86":16.2425477011,"7.87":15.7654589762,"7.88":15.2840172557,"7.890000000000001":14.8094796173,"7.9":14.3516914542,"7.91":13.9195163361,"7.92":13.5205694616,"7.930000000000001":13.1825168009,"7.94":12.8684423334,"7.95":12.6223130626,"7.96":12.5852261354,"7.97":12.6690791098,"7.98":12.9396957909,"7.99":13.3206666545,"8.0":13.7926545494,"8.01":14.323718131,"8.02":14.9083552583,"8.03":15.5075570579,"8.040000000000001":16.1031735326,"8.05":16.6200500402,"8.06":17.0216206227,"8.07":17.2935615453,"8.08":17.4225101664,"8.09":17.3964318746,"8.1":17.2049612414,"8.11":16.8397072309,"8.120000000000001":16.294513625,"8.13":15.6233097417,"8.14":14.8578133122,"8.15":14.0315131333,"8.16":13.1792582603,"8.17":12.3151644916,"8.18":11.4478414722,"8.19":10.5933679447,"8.2":9.8018225927,"8.21":9.056721578,"8.22":8.3755518825,"8.23":7.7316277099,"8.24":7.2237666668,"8.25":6.7681802056,"8.26":6.3792543501,"8.27":6.0742766445,"8.28":5.8176154438,"8.290000000000001":5.6117245794,"8.3":5.4562372621,"8.31":5.3477415223,"8.32":5.2927075709,"8.33":5.2679800834,"8.34":5.2496327412,"8.35":5.227736926,"8.36":5.1915673332,"8.370000000000001":5.1299504845,"8.38":5.0316416951,"8.39":4.8857175091,"8.4":4.6819697743,"8.41":4.4112872248,"8.42":4.0660106846,"8.43":3.640248802,"8.44":3.1301425359,"8.45":2.5797996514,"8.46":2.0613894759,"8.47":1.652846063,"8.48":1.2903519332,"8.49":1.0250808503,"8.5":0.785469337,"8.51":0.5916199902,"8.52":0.3930112489,"8.53":0.2430585684,"8.540000000000001":0.1663736775,"8.55":0.1163537755,"8.56":0.0722579051,"8.57":0.0429907828,"8.58":0.0241664282,"8.59":0.0131555931,"8.6":0.0075131068,"8.61":0.0049151162,"8.620000000000001":0.0035779878,"8.63":0.0079394418,"8.64":0.0061202871,"8.65":0.005099286,"8.66":0.0046228734,"8.67":0.0043667926,"8.68":0.0043049517,"8.69":0.0044342613,"8.700000000000001":0.004772416,"8.71":0.0055331934,"8.72":0.0070567537,"8.73":0.0100222085,"8.74":0.0207454048,"8.75":0.0541886214,"8.76":0.0710391106,"8.77":0.0243718811,"8.78":0.0444905899,"8.790000000000001":0.0808623318,"8.8":0.1652319741,"8.81":0.2836644635,"8.82":0.4690287394,"8.83":0.7054185963,"8.84":0.9555060794,"8.85":1.2836010703,"8.86":1.6537936179,"8.870000000000001":2.0329431386,"8.88":2.5149961947,"8.89":3.0872733203,"8.9":3.6525911458,"8.91":4.2116836037,"8.92":4.7742517184,"8.93":5.4509973756,"8.94":6.101228659,"8.950000000000001":6.7240407819,"8.96":7.4331550277,"8.97":8.1866710726,"8.98":9.0642051191,"8.99":10.0377618054,"9.0":11.1062192109,"9.01":12.2956788894,"9.02":13.5343776997,"9.03":14.6548513836,"9.040000000000001":15.6534876788,"9.05":16.5284189705,"9.06":17.2797814753,"9.07":17.9096980422,"9.08":18.4223440023,"9.09":18.8239038161,"9.1":19.1225969744,"9.11":19.3297171484,"9.120000000000001":19.4539828764,"9.13":19.5086104666,"9.14":19.506558355,"9.15":19.4610254004,"9.16":19.3850113858,"9.17":19.2908875363,"9.18":19.1899969584,"9.19":19.0923033377,"9.200000000000001":19.0061037629,"9.21":18.9378182964,"9.22":18.8918650488,"9.23":18.8706252368,"9.24":18.8744982176,"9.25":18.9020420275,"9.26":18.9501907372,"9.27":19.014536165,"9.28":19.0896583737,"9.290000000000001":19.1694870554,"9.3":19.2476745058,"9.31":19.3179604779,"9.32":19.3745098011,"9.33":19.412205231,"9.34":19.4268804769,"9.35":19.4154816115,"9.36":19.3761489462,"9.370000000000001":19.3082157438,"9.38":19.2121246397,"9.39":19.0889926748,"9.4":18.94242938,"9.41":18.7737493233,"9.42":18.5856262374,"9.43":18.3804960208,"9.44":18.1602357445,"9.450000000000001":17.9261784392,"9.46":17.6778300177,"9.47":17.4136439648,"9.48":17.1305754082,"9.49":16.8240026436,"9.5":16.4877581646,"9.51":16.1142542282,"9.52":15.6947009249,"9.53":15.2194099883,"9.540000000000001":14.6781731204,"9.55":14.0606996342,"9.56":13.3570949472,"9.57":12.5583590387,"9.58":11.6840445579,"9.59":10.9121478477,"9.6":10.2279912071,"9.61":9.6301724413,"9.620000000000001":9.1658734964,"9.63":8.7870559407,"9.64":8.449791909,"9.65":8.3098771134,"9.66":8.1880162065,"9.67":8.1390113029,"9.68":8.1855004091,"9.69":8.4203334892,"9.700000000000001":8.6730074711,"9.71":8.9367116119,"9.72":9.2038647667,"9.73":9.4500951481,"9.74":9.6411913359,"9.75":9.7349059465,"9.76":9.6970528394,"9.77":9.50673833,"9.78":9.159043035,"9.790000000000001":8.6653438774,"9.8":8.0533992969,"9.81":7.3648076566,"9.82":6.6477272408,"9.83":5.9547281726,"9.84":5.306421637,"9.85":4.7106048043,"9.86":4.1698656759,"9.870000000000001":3.7073526187,"9.88":3.3183506878,"9.89":3.0363274401,"9.9":2.8425869007,"9.91":2.7247636989,"9.92":2.7149054142,"9.93":2.7413738365,"9.94":2.8212592747,"9.950000000000001":2.9594592731,"9.96":3.1249932323,"9.97":3.3176310701,"9.98":3.5377050707,"9.99":3.7850540732,"10.0":4.0745385183},"2":{"5.0":26.0612190656,"5.01":27.8621863107,"5.0200000000000005":29.2928945585,"5.03":30.3263745013,"5.04":30.9446896046,"5.05":31.1382531959,"5.0600000000000005":30.9048416907,"5.07":30.2483759288,"5.08":29.1775502772,"5.09":27.7043927139,"5.1000000000000005":25.8428384855,"5.11":23.6073952882,"5.12":21.0119696012,"5.13":18.0601633347,"5.14":15.1336048331,"5.15":12.530051263,"5.16":10.1150925584,"5.17":7.8890275018,"5.18":6.0539567145,"5.19":4.7973743374,"5.2":4.0048824854,"5.21":3.790341567,"5.22":4.1320393688,"5.23":4.9447795212,"5.24":5.864651207,"5.25":6.9203371479,"5.26":8.2358495629,"5.2700000000000005":9.4940025882,"5.28":10.6443036762,"5.29":11.6676928645,"5.3":12.5630922585,"5.3100000000000005":13.2912306821,"5.32":13.8302912799,"5.33":14.1578281386,"5.34":14.2510288117,"5.3500000000000005":14.0870726633,"5.36":13.6435878718,"5.37":12.9039829414,"5.38":11.9528557401,"5.39":10.6749027302,"5.4":9.1814575413,"5.41":7.3647827409,"5.42":5.2113683108,"5.43":2.9134091712,"5.44":0.8228391513,"5.45":0.0,"5.46":0.0,"5.47":0.0,"5.48":0.0,"5.49":0.0,"5.5":0.0,"5.51":1.3425240301,"5.5200000000000005":4.3592312621,"5.53":8.4995196595,"5.54":11.7619442904,"5.55":15.837574724,"5.5600000000000005":20.6122056172,"5.57":25.5931832248,"5.58":30.3829221106,"5.59":34.7586934057,"5.6000000000000005":38.6473181175,"5.61":42.0042680981,"5.62":44.7877471524,"5.63":46.9665415809,"5.64":48.525572654,"5.65":49.4621858471,"5.66":49.785892582,"5.67":49.5177389677,"5.68":48.6893248228,"5.69":47.341510099,"5.7":45.5228582868,"5.71":43.2878768974,"5.72":40.6951231847,"5.73":37.805248506,"5.74":34.6790568593,"5.75":31.3783075823,"5.76":27.9707529678,"5.7700000000000005":24.5220556401,"5.78":21.1094817001,"5.79":17.7211915646,"5.8":14.5380021088,"5.8100000000000005":12.0771987994,"5.82":10.4170889002,"5.83":10.3028758422,"5.84":9.3640707817,"5.8500000000000005":8.6971811808,"5.86":8.5498077706,"5.87":8.7969991114,"5.88":9.4031074876,"5.89":10.09186577,"5.9":10.8179298242,"5.91":11.7009298466,"5.92":12.7510197653,"5.93":14.0870933837,"5.94":15.5334720071,"5.95":17.0084774066,"5.96":18.443863019,"5.97":19.8224485967,"5.98":21.1761750552,"5.99":22.3872667932,"6.0":23.5644954513,"6.01":24.5562975323,"6.0200000000000005":25.3350383636,"6.03":25.8748289061,"6.04":26.1021802376,"6.05":26.0644108204,"6.0600000000000005":25.7390446558,"6.07":25.2299610052,"6.08":24.5199065186,"6.09":23.6999479401,"6.1000000000000005":22.8252335599,"6.11":22.2048462784,"6.12":21.8499095734,"6.13":21.3602305332,"6.140000000000001":21.3330154922,"6.15":20.1542203506,"6.16":19.9770609104,"6.17":19.7275341689,"6.18":19.4185923988,"6.19":17.6800126721,"6.2":17.4097525527,"6.21":17.1059267086,"6.22":16.7697554831,"6.23":16.3995627964,"6.24":15.9909120301,"6.25":15.5369216671,"6.26":15.0071838383,"6.2700000000000005":14.4674725729,"6.28":13.8468856252,"6.29":13.1355299872,"6.3":12.3237744381,"6.3100000000000005":11.4038268927,"6.32":10.3704521503,"6.33":9.2215828305,"6.34":7.9587880572,"6.3500000000000005":6.5875715908,"6.36":5.1174797557,"6.37":3.8121827951,"6.38":2.6800795975,"6.390000000000001":1.522172763,"6.4":1.1730687846,"6.41":1.325373627,"6.42":1.5412530551,"6.43":1.7450683365,"6.44":2.1938923516,"6.45":2.7344606189,"6.46":3.2649358598,"6.47":3.8198555913,"6.48":4.3147454772,"6.49":4.7539879326,"6.5":5.1368428406,"6.51":5.4497450225,"6.5200000000000005":5.6925504821,"6.53":5.8782563566,"6.54":5.9900214259,"6.55":6.0412176476,"6.5600000000000005":6.0312490341,"6.57":5.9833738477,"6.58":5.9049459437,"6.59":5.8023254826,"6.6000000000000005":5.6857899415,"6.61":5.5655441781,"6.62":5.4609430757,"6.63":5.3623917959,"6.640000000000001":5.2864565049,"6.65":5.2396248696,"6.66":5.2267973114,"6.67":5.2442326976,"6.68":5.2901776252,"6.69":5.3992293131,"6.7":5.5377448429,"6.71":5.7547610642,"6.72":6.1109165346,"6.73":6.4855858728,"6.74":6.8548774168,"6.75":7.2395155216,"6.76":7.476923703,"6.7700000000000005":7.660630687,"6.78":7.8068788098,"6.79":7.9072605497,"6.8":7.9539570583,"6.8100000000000005":7.9398901827,"6.82":7.8588523546,"6.83":7.7056156908,"6.84":7.4760224517,"6.8500000000000005":7.1670594591,"6.86":6.6030919879,"6.87":5.8965123144,"6.88":5.0425623393,"6.890000000000001":4.1031877065,"6.9":3.280576243,"6.91":2.6151200489,"6.92":1.9229722652,"6.93":1.2340560512,"6.94":0.5914289795,"6.95":0.4389017418,"6.96":0.3095486982,"6.97":0.3139552989,"6.98":0.4726687503,"6.99":1.1003578824,"7.0":2.4727372889,"7.01":3.9845606367,"7.0200000000000005":5.5771729679,"7.03":7.2062606905,"7.04":8.6401663429,"7.05":9.8490384453,"7.0600000000000005":10.8127617066,"7.07":11.4635670937,"7.08":11.7720555361,"7.09":11.7144933624,"7.1000000000000005":11.2738812454,"7.11":10.4408798069,"7.12":9.2190582623,"7.13":7.7132972897,"7.140000000000001":6.1905690921,"7.15":4.5198253214,"7.16":2.7889372169,"7.17":1.4094236006,"7.18":0.7735445197,"7.19":0.4957809559,"7.2":0.2823732952,"7.21":0.2711444541,"7.22":0.2535050015,"7.23":0.3012271111,"7.24":0.7630844596,"7.25":1.2871780015,"7.26":1.8401664842,"7.2700000000000005":2.3928491783,"7.28":3.4738429168,"7.29":4.496558381,"7.3":5.4864296091,"7.3100000000000005":6.5787335003,"7.32":7.4541046334,"7.33":8.1863682319,"7.34":8.6927237916,"7.3500000000000005":8.8663677378,"7.36":8.7899398184,"7.37":8.4838472515,"7.38":8.026628443,"7.390000000000001":7.4448446105,"7.4":6.6947955582,"7.41":6.0943165625,"7.42":5.4224032902,"7.43":4.8081726583,"7.44":4.2511402124,"7.45":3.9976043229,"7.46":3.7066508513,"7.47":3.3940150707,"7.48":3.0748464946,"7.49":2.7105438062,"7.5":2.5096330456,"7.51":2.3696359851,"7.5200000000000005":2.2113439789,"7.53":2.0655664352,"7.54":2.1900597364,"7.55":2.5064564908,"7.5600000000000005":2.9006661784,"7.57":3.400388738,"7.58":3.8363095284,"7.59":4.3054311512,"7.6000000000000005":4.8109760252,"7.61":5.4218811296,"7.62":6.1180157328,"7.63":6.815183545,"7.640000000000001":7.5170884531,"7.65":8.2250445326,"7.66":8.937650383,"7.67":9.6510412414,"7.68":10.3592317417,"7.69":11.0545291143,"7.7":11.7279954693,"7.71":12.3699375919,"7.72":12.9704033193,"7.73":13.5196649365,"7.74":14.0086720092,"7.75":14.4294585007,"7.76":14.7754917595,"7.7700000000000005":15.0419538678,"7.78":5.325914913,"7.79":3.8570309846,"7.8":12.4105163188,"7.8100000000000005":15.2961556133,"7.82":15.1765255887,"7.83":14.9910523494,"7.84":14.7483878632,"7.8500000000000005":14.4584922834,"7.86":14.1330400746,"7.87":13.8568599003,"7.88":13.5351307702,"7.890000000000001":13.2129566179,"7.9":12.9013621971,"7.91":12.6104139307,"7.92":12.3488514973,"7.930000000000001":13.1264868046,"7.94":13.0222597791,"7.95":13.0019509757,"7.96":13.7692890992,"7.97":14.209174334,"7.98":15.0648098006,"7.99":16.3925543196,"8.0":18.182204898,"8.01":20.1913736021,"8.02":22.6119981975,"8.03":25.2072361687,"8.040000000000001":27.4264597463,"8.05":29.2629605759,"8.06":30.6856493025,"8.07":31.6532869043,"8.08":32.1262522932,"8.09":32.0674060534,"8.1":31.4429197883,"8.11":30.2230558902,"8.120000000000001":28.3828864344,"8.13":25.872226292,"8.14":22.9445137957,"8.15":20.270131962,"8.16":17.5786310725,"8.17":14.9399497099,"8.18":12.4185517931,"8.19":9.9902215126,"8.2":8.0003073633,"8.21":6.2488004013,"8.22":4.7185065603,"8.23":3.3522261225,"8.24":2.5705933481,"8.25":1.9841771258,"8.26":1.4608460835,"8.27":1.0173791516,"8.28":0.6083025055,"8.290000000000001":0.2508012951,"8.3":0.0,"8.31":0.0,"8.32":0.0,"8.33":0.0,"8.34":0.0,"8.35":0.0,"8.36":0.0,"8.370000000000001":0.0,"8.38":0.0,"8.39":0.0,"8.4":0.0,"8.41":0.0,"8.42":0.0,"8.43":0.0,"8.44":0.0,"8.45":0.0,"8.46":0.4119382284,"8.47":1.6654847817,"8.48":3.3485174957,"8.49":5.6138911791,"8.5":8.2623591309,"8.51":10.9278800859,"8.52":13.021140117,"8.53":15.6583726663,"8.540000000000001":19.1627715769,"8.55":23.000179319,"8.56":26.6818785841,"8.57":30.2553659514,"8.58":33.661714849,"8.59":36.8348606185,"8.6":39.712948769,"8.61":42.2392740285,"8.620000000000001":44.3666940967,"8.63":48.8143085169,"8.64":50.1229269464,"8.65":50.9104387934,"8.66":51.2199004762,"8.67":51.0557645412,"8.68":50.4323271969,"8.69":49.3709065425,"8.700000000000001":47.8988719554,"8.71":46.049429932,"8.72":43.8606438875,"8.73":41.3756373929,"8.74":38.6689865557,"8.75":35.8696683338,"8.76":32.6137498807,"8.77":27.3479989687,"8.78":24.1699564456,"8.790000000000001":21.0073088888,"8.8":18.0369122257,"8.81":15.1905627735,"8.82":12.8246457011,"8.83":11.1267581325,"8.84":9.6965740766,"8.85":7.9580558452,"8.86":6.2713030352,"8.870000000000001":4.7164814572,"8.88":3.5592012576,"8.89":2.7628369139,"8.9":2.0334037135,"8.91":1.384112214,"8.92":0.8372036356,"8.93":0.795051814,"8.94":0.7577247128,"8.950000000000001":0.7138897727,"8.96":0.8863514266,"8.97":1.1835884072,"8.98":2.2482392511,"8.99":3.5915592161,"9.0":5.0205771879,"9.01":6.5330210939,"9.02":8.1601809351,"9.03":9.674762001,"9.040000000000001":11.0725935972,"9.05":12.3405630961,"9.06":13.475522458,"9.07":14.4765622389,"9.08":15.3451274387,"9.09":16.0842341338,"9.1":16.7050935442,"9.11":17.2848848152,"9.120000000000001":17.7166417078,"9.13":18.0544978531,"9.14":18.310377073,"9.15":18.4967092859,"9.16":18.6259508578,"9.17":18.7101125599,"9.18":18.7603177826,"9.19":18.7864119818,"9.200000000000001":18.7966416277,"9.21":18.7974173209,"9.22":18.7931714232,"9.23":18.7863157307,"9.24":18.7772996427,"9.25":18.7647641947,"9.26":18.7457824975,"9.27":18.7161727778,"9.28":18.6708665878,"9.290000000000001":18.6043120073,"9.3":18.5108899529,"9.31":18.3853211167,"9.32":18.2230416122,"9.33":18.0205270886,"9.34":17.7755477984,"9.35":17.4873407342,"9.36":17.1566893083,"9.370000000000001":16.7859059183,"9.38":16.3787178676,"9.39":15.9272836273,"9.4":15.5071778597,"9.41":15.0672515612,"9.42":14.6142750442,"9.43":14.1539336452,"9.44":13.6911999876,"9.450000000000001":13.2453854667,"9.46":12.8029201404,"9.47":12.3633107034,"9.48":11.9249439699,"9.49":11.4841635815,"9.5":11.035277699,"9.51":10.5706768638,"9.52":10.0810602147,"9.53":9.555762813,"9.540000000000001":8.9831717008,"9.55":8.3512137418,"9.56":7.6478945091,"9.57":6.8618646808,"9.58":6.0278025471,"9.59":5.3492216668,"9.6":4.7287844802,"9.61":4.1757005857,"9.620000000000001":3.6139621678,"9.63":3.4917995248,"9.64":3.6151558566,"9.65":4.560563452,"9.66":5.7589292677,"9.67":7.4077966562,"9.68":9.6547941764,"9.69":12.8245311495,"9.700000000000001":16.1350473771,"9.71":19.4538241798,"9.72":22.8680288681,"9.73":26.0501741063,"9.74":28.9045254247,"9.75":31.2253036855,"9.76":32.848446862,"9.77":33.6577649172,"9.78":33.6071755174,"9.790000000000001":32.7396670373,"9.8":31.1416273935,"9.81":28.9767388631,"9.82":26.3714585517,"9.83":23.6637594521,"9.84":20.7619438214,"9.85":18.0933733432,"9.86":15.2552991426,"9.870000000000001":12.7256936557,"9.88":10.4273657202,"9.89":8.9470107199,"9.9":7.5912309347,"9.91":6.3577226616,"9.92":5.3420249864,"9.93":4.355665816,"9.94":3.4627301987,"9.950000000000001":2.6979259883,"9.96":1.9831967421,"9.97":1.342401566,"9.98":0.7882262533,"9.99":0.3509112397,"10.0":0.0952578604},"3":{"5.0":0.0,"5.01":0.0,"5.0200000000000005":0.0,"5.03":0.0,"5.04":0.0,"5.05":0.0,"5.0600000000000005":0.0,"5.07":0.0,"5.08":0.0,"5.09":0.0,"5.1000000000000005":0.0,"5.11":0.0,"5.12":0.0,"5.13":0.0,"5.14":1.8159446493,"5.15":6.7382600532,"5.16":14.1916246351,"5.17":24.1428471446,"5.18":37.5662408699,"5.19":55.4151168478,"5.2":77.0345942802,"5.21":103.0725901148,"5.22":133.4516233184,"5.23":167.8449562461,"5.24":204.7225822652,"5.25":244.1881485288,"5.26":286.6804967623,"5.2700000000000005":330.0847713089,"5.28":373.9861019498,"5.29":418.0885213978,"5.3":462.1413969628,"5.3100000000000005":505.6956325112,"5.32":548.3511946983,"5.33":589.6827406317,"5.34":629.2466408371,"5.3500000000000005":666.5892025402,"5.36":701.255853007,"5.37":732.8219415754,"5.38":761.3182442739,"5.39":785.9187451309,"5.4":806.8163409371,"5.41":823.275663374,"5.42":835.0178965077,"5.43":842.921512013,"5.44":849.3297867139,"5.45":858.894548323,"5.46":870.0644904341,"5.47":878.5351525054,"5.48":883.7026221063,"5.49":885.5904964585,"5.5":884.4226178115,"5.51":887.0118609238,"5.5200000000000005":894.8762054871,"5.53":905.2100028096,"5.54":909.1553017859,"5.55":914.1639341969,"5.5600000000000005":919.7499311463,"5.57":923.8201044269,"5.58":924.7631884479,"5.59":921.7276987602,"5.6000000000000005":914.5567807176,"5.61":903.2346963363,"5.62":887.7700742036,"5.63":868.229489192,"5.64":844.7606742766,"5.65":817.5751040124,"5.66":786.9449592125,"5.67":753.1978781493,"5.68":716.7096096609,"5.69":677.8947856267,"5.7":637.1961252751,"5.71":595.0724666824,"5.72":551.9860871327,"5.73":508.3898199737,"5.74":464.7144984612,"5.75":421.3687564542,"5.76":378.7618987786,"5.7700000000000005":337.2642790052,"5.78":297.2737960192,"5.79":258.7630322124,"5.8":222.5369670855,"5.8100000000000005":191.0776504361,"5.82":164.6099574818,"5.83":146.4027910641,"5.84":125.6904642879,"5.8500000000000005":107.126257818,"5.86":91.7669945347,"5.87":79.0953209709,"5.88":68.5547053076,"5.89":58.8366266101,"5.9":49.6826197491,"5.91":41.5636545357,"5.92":34.5023235524,"5.93":29.1903227664,"5.94":24.7610428833,"5.95":20.8584072775,"5.96":17.2752793812,"5.97":14.0482635142,"5.98":11.4478522652,"5.99":9.1037205115,"6.0":7.7059811605,"6.01":6.7033334775,"6.0200000000000005":6.1001010655,"6.03":5.9301362411,"6.04":6.0074729088,"6.05":6.6551752647,"6.0600000000000005":7.8918122326,"6.07":10.2845980209,"6.08":13.7474200953,"6.09":18.6804686742,"6.1000000000000005":25.3889159331,"6.11":35.1507233081,"6.12":48.1359409986,"6.13":62.4398944058,"6.140000000000001":80.5050421653,"6.15":94.6247821246,"6.16":113.959157828,"6.17":133.5383657547,"6.18":153.1428874055,"6.19":166.4847079587,"6.2":185.9768037581,"6.21":204.755653231,"6.22":222.5530307569,"6.23":239.1018294693,"6.24":254.141389372,"6.25":267.4232062301,"6.26":278.6224108323,"6.2700000000000005":287.8656658659,"6.28":294.7135756071,"6.29":299.0291374606,"6.3":300.7131459088,"6.3100000000000005":299.7120813512,"6.32":296.0216012777,"6.33":289.6889247645,"6.34":280.8139503224,"6.3500000000000005":269.5489816723,"6.36":256.0969781078,"6.37":242.2655635464,"6.38":228.5289830532,"6.390000000000001":214.0752355195,"6.4":202.7820305082,"6.41":193.4516937358,"6.42":184.1728359337,"6.43":174.7713475659,"6.44":166.8119738211,"6.45":159.7297502393,"6.46":153.2027631331,"6.47":147.6179057681,"6.48":142.7162028213,"6.49":138.6669217554,"6.5":135.5811436328,"6.51":133.4777079669,"6.5200000000000005":132.3999775634,"6.53":132.4114179046,"6.54":133.4044852782,"6.55":135.3662666963,"6.5600000000000005":138.1857088618,"6.57":141.8230926343,"6.58":146.1375442035,"6.59":150.9586768436,"6.6000000000000005":156.1144205435,"6.61":161.4204251997,"6.62":166.7288379968,"6.63":171.7688338715,"6.640000000000001":176.3955261726,"6.65":180.4419307315,"6.66":183.7632869037,"6.67":186.2082310666,"6.68":187.6800643185,"6.69":188.3190112801,"6.7":187.9668794248,"6.71":186.9466503152,"6.72":185.6962058068,"6.73":183.7682669316,"6.74":181.2758313638,"6.75":178.5729828495,"6.76":175.2393725982,"6.7700000000000005":172.0103600288,"6.78":169.2989348708,"6.79":167.415633499,"6.8":166.6686247908,"6.8100000000000005":167.3529910384,"6.82":169.7402363348,"6.83":174.0684419937,"6.84":180.5334699451,"6.8500000000000005":189.2815783736,"6.86":199.6379520442,"6.87":212.1362050944,"6.88":226.7224999209,"6.890000000000001":243.5870847439,"6.9":263.6117136708,"6.91":286.7803841583,"6.92":311.8740210232,"6.93":338.7220464085,"6.94":367.1922852531,"6.95":399.1203013117,"6.96":431.7818954067,"6.97":465.3932680425,"6.98":499.8552213667,"6.99":536.3074752687,"7.0":575.6520478356,"7.01":614.8272162541,"7.0200000000000005":653.2936518939,"7.03":690.3475209751,"7.04":724.4366811246,"7.05":755.2582805543,"7.0600000000000005":782.6052723273,"7.07":806.107921028,"7.08":825.6062985889,"7.09":841.0013470826,"7.1000000000000005":852.2528949437,"7.11":859.3763536169,"7.12":862.4612972354,"7.13":862.1743404084,"7.140000000000001":860.1851778709,"7.15":856.0036461835,"7.16":850.0888678884,"7.17":844.2754819231,"7.18":840.4023791426,"7.19":836.7409127375,"7.2":831.7272644134,"7.21":825.8218064166,"7.22":817.7706524499,"7.23":807.8040078137,"7.24":797.5442915567,"7.25":785.1065536042,"7.26":770.2331583846,"7.2700000000000005":752.7301900486,"7.28":735.2917865652,"7.29":714.9571631316,"7.3":691.9330776075,"7.3100000000000005":667.0477430165,"7.32":638.9106038114,"7.33":608.1683758121,"7.34":574.7385110901,"7.3500000000000005":538.5294990336,"7.36":500.3574625904,"7.37":460.8145910885,"7.38":420.8224386061,"7.390000000000001":381.0530278985,"7.4":341.848412289,"7.41":305.3175901468,"7.42":270.872298541,"7.43":239.6190405643,"7.44":211.9909173639,"7.45":189.6091983398,"7.46":171.0055222981,"7.47":156.4669004615,"7.48":146.1812574029,"7.49":139.9674519638,"7.5":138.86659639,"7.51":142.1761924504,"7.5200000000000005":149.230266842,"7.53":159.8462617225,"7.54":174.9107494394,"7.55":193.5708470508,"7.5600000000000005":214.7931927379,"7.57":238.2596389555,"7.58":262.7042859433,"7.59":287.9646936534,"7.6000000000000005":313.5317358381,"7.61":339.2550041763,"7.62":364.4288711947,"7.63":388.0997406364,"7.640000000000001":409.8881634354,"7.65":429.4620061623,"7.66":446.5398925912,"7.67":460.895400202,"7.68":472.3595869279,"7.69":480.8218219933,"7.7":486.228958513,"7.71":488.5829462904,"7.72":487.9370384026,"7.73":484.3907924071,"7.74":478.0841044919,"7.75":469.1905412289,"7.76":457.9102479422,"7.7700000000000005":444.462714805,"7.78":386.6136766135,"7.79":362.7677900991,"7.8":380.9746784275,"7.8100000000000005":373.7297036467,"7.82":353.0059944834,"7.83":331.4801494053,"7.84":309.3423258674,"7.8500000000000005":286.7652284341,"7.86":263.9069612225,"7.87":241.2261841093,"7.88":218.3773107694,"7.890000000000001":195.6145142343,"7.9":173.0333449888,"7.91":150.7201980298,"7.92":128.7550513092,"7.930000000000001":111.6081080687,"7.94":90.9139767874,"7.95":71.0171722817,"7.96":55.3774871237,"7.97":39.0495757185,"7.98":25.5248397715,"7.99":15.0016799894,"8.0":7.5464589233,"8.01":2.2083034182,"8.02":0.0,"8.03":0.0,"8.040000000000001":0.0,"8.05":0.0,"8.06":0.0,"8.07":0.0,"8.08":0.0,"8.09":0.0,"8.1":0.0,"8.11":0.0,"8.120000000000001":0.0,"8.13":0.0,"8.14":1.2402983813,"8.15":6.7325619052,"8.16":15.3742013614,"8.17":27.4530346774,"8.18":43.1808157032,"8.19":62.3631680383,"8.2":86.4472870669,"8.21":114.3196676431,"8.22":145.7001174601,"8.23":179.991236874,"8.24":218.9271411025,"8.25":260.262425345,"8.26":303.066771871,"8.27":347.0309957257,"8.28":391.4226216264,"8.290000000000001":435.8477826215,"8.3":480.0495751997,"8.31":524.1391069829,"8.32":566.522838078,"8.33":606.6410672196,"8.34":643.9217927374,"8.35":677.8447001171,"8.36":707.9096575842,"8.370000000000001":733.6462223651,"8.38":754.6233955159,"8.39":770.4593957625,"8.4":780.8311951396,"8.41":785.4835391673,"8.42":784.2371633601,"8.43":776.9959173174,"8.44":763.752518256,"8.45":744.711379189,"8.46":721.9879615723,"8.47":697.9045843656,"8.48":670.8841894745,"8.49":642.1516794522,"8.5":611.1923379821,"8.51":577.0578106745,"8.52":537.7247133114,"8.53":498.8533476045,"8.540000000000001":462.6367930412,"8.55":427.4073001796,"8.56":391.7631545958,"8.57":356.6882029048,"8.58":322.6511127408,"8.59":290.0566498041,"8.6":259.2772895966,"8.61":230.6445563908,"8.620000000000001":204.4581138895,"8.63":192.9294790221,"8.64":172.7197766819,"8.65":155.4217696,"8.66":141.3611180637,"8.67":130.5979467126,"8.68":123.1398187441,"8.69":118.933334876,"8.700000000000001":117.8664194862,"8.71":119.776073515,"8.72":124.4536918867,"8.73":131.657308713,"8.74":141.2501645293,"8.75":153.319298014,"8.76":165.6671113748,"8.77":170.9182859015,"8.78":186.5964517887,"8.790000000000001":203.0846317525,"8.8":220.7250563916,"8.81":238.7190980927,"8.82":258.2544284085,"8.83":279.7119666644,"8.84":300.9191758029,"8.85":319.2307941314,"8.86":335.8635679647,"8.870000000000001":350.8744619517,"8.88":365.4712041426,"8.89":379.340459123,"8.9":390.8920674782,"8.91":400.1359440827,"8.92":407.175138597,"8.93":414.0291303216,"8.94":418.235809064,"8.950000000000001":419.805402493,"8.96":420.0556675823,"8.97":418.5896569885,"8.98":418.4957709778,"8.99":417.7200211699,"9.0":415.566655895,"9.01":412.2429871572,"9.02":407.8804259444,"9.03":401.2717137061,"9.040000000000001":392.5775763236,"9.05":381.933683712,"9.06":369.5322503999,"9.07":355.5874378592,"9.08":340.3346555428,"9.09":324.0254286993,"9.1":306.9542370918,"9.11":289.7090345989,"9.120000000000001":272.0722405941,"9.13":254.5302777896,"9.14":237.3791843575,"9.15":220.9082442727,"9.16":205.3944083523,"9.17":191.0969453638,"9.18":178.2525367086,"9.19":167.0710037134,"9.200000000000001":157.7318221584,"9.21":150.3815364036,"9.22":145.1321378356,"9.23":142.060422093,"9.24":141.2082895062,"9.25":142.5839062389,"9.26":146.1636023743,"9.27":151.8943499342,"9.28":159.6966404061,"9.290000000000001":169.4675690335,"9.3":181.0839325598,"9.31":194.4051582875,"9.32":209.2759045432,"9.33":225.5282046398,"9.34":242.9830663428,"9.35":261.4514843878,"9.36":280.7348721247,"9.370000000000001":300.6249670811,"9.38":320.9033112761,"9.39":341.2844523507,"9.4":361.8325030052,"9.41":382.0410307607,"9.42":401.6433733725,"9.43":420.3559187986,"9.44":437.8822814494,"9.450000000000001":453.9825776416,"9.46":468.2706351568,"9.47":480.4203023986,"9.48":490.108909073,"9.49":497.01954218,"9.5":500.8479190909,"9.51":501.3100877982,"9.52":498.1507405004,"9.53":491.151877182,"9.540000000000001":480.1415162081,"9.55":465.0021213569,"9.56":445.6784008443,"9.57":422.1841347851,"9.58":394.8668336377,"9.59":365.2493935184,"9.6":333.1572543628,"9.61":298.9719952187,"9.620000000000001":262.8804893901,"9.63":227.1657910594,"9.64":191.3845400099,"9.65":158.9442247338,"9.66":127.5189194844,"9.67":98.6783046383,"9.68":73.7050019896,"9.69":54.8098783341,"9.700000000000001":38.7657787935,"9.71":25.5198595827,"9.72":15.9290669819,"9.73":8.9642803138,"9.74":4.517212308,"9.75":1.916264676,"9.76":0.6155038399,"9.77":0.2286466623,"9.78":0.6282855318,"9.790000000000001":2.0270577029,"9.8":4.7800924932,"9.81":9.5275632902,"9.82":16.6848574119,"9.83":27.5199021956,"9.84":41.2960307727,"9.85":59.434584482,"9.86":79.6987811048,"9.870000000000001":103.6748643274,"9.88":130.4483833857,"9.89":162.0525796148,"9.9":194.8447330565,"9.91":228.1942262078,"9.92":262.0148999706,"9.93":294.7684542096,"9.94":326.2569080511,"9.950000000000001":356.1696033521,"9.96":383.6732287949,"9.97":408.5069440601,"9.98":430.4257004819,"9.99":449.3258554804,"10.0":465.3581062851},"4":{"5.0":0.0,"5.01":0.0,"5.0200000000000005":0.0,"5.03":0.0,"5.04":0.0,"5.05":0.0,"5.0600000000000005":0.0,"5.07":0.0,"5.08":0.0,"5.09":0.0,"5.1000000000000005":0.0,"5.11":0.0,"5.12":0.0,"5.13":18963112015713.63671875,"5.14":60269149097997.7578125,"5.15":69544451141927.1484375,"5.16":92070020546862.453125,"5.17":117291019460423.171875,"5.18":141484199599829.1875,"5.19":180064986711182.75,"5.2":186433468751480.75,"5.21":199727083476307.84375,"5.22":234026305752925.96875,"5.23":335845615712744.375,"5.24":627411253849106.875,"5.25":1120119655710604.875,"5.26":1780903754928587.0,"5.2700000000000005":2412320503419095.5,"5.28":3007522210188186.0,"5.29":3559190518233814.5,"5.3":4055509057852781.0,"5.3100000000000005":4492099455382816.5,"5.32":4860259582909077.0,"5.33":5150907613308096.0,"5.34":5354688159683628.0,"5.3500000000000005":5462118696559573.0,"5.36":5463776332970582.0,"5.37":5349508538016267.0,"5.38":5088572131770384.0,"5.39":4693999743089851.0,"5.4":4132510570901818.0,"5.41":3419629830181811.0,"5.42":2556532225371088.0,"5.43":1598390054977676.25,"5.44":887424588425174.375,"5.45":252750569333582.6875,"5.46":0.0,"5.47":0.0,"5.48":0.0,"5.49":0.0,"5.5":68486104544434.1640625,"5.51":307191078456516.875,"5.5200000000000005":626073787400872.75,"5.53":914599685520274.125,"5.54":1498965490190069.5,"5.55":1971064224689658.75,"5.5600000000000005":2288829495228036.5,"5.57":2508220096380330.0,"5.58":2689485643830003.0,"5.59":2849217998186783.0,"5.6000000000000005":2986250327524402.5,"5.61":3097302213588675.5,"5.62":3181478564795366.0,"5.63":3238667059888656.0,"5.64":3268377213499994.5,"5.65":3270650736199265.0,"5.66":3246055237747931.0,"5.67":3195661676950980.5,"5.68":3121006240581650.5,"5.69":3024037956923322.0,"5.7":2907053927222263.5,"5.71":2772624564831586.5,"5.72":2623511642652241.5,"5.73":2462582245341785.5,"5.74":2292721888356503.0,"5.75":2116126509041712.75,"5.76":1934424901496591.75,"5.7700000000000005":1749080682009058.25,"5.78":1561509282359676.75,"5.79":1389169794036284.75,"5.8":1215173974561176.5,"5.8100000000000005":1050850588742363.875,"5.82":863580174261951.375,"5.83":539923765802826.875,"5.84":466135727095650.0,"5.8500000000000005":394334472211925.625,"5.86":311659032591469.75,"5.87":307932552482615.3125,"5.88":260397749624292.65625,"5.89":223289728477765.625,"5.9":209546931244546.53125,"5.91":189203371353678.71875,"5.92":157296672536596.6875,"5.93":157496346129725.1875,"5.94":165482182945096.34375,"5.95":167406754899052.40625,"5.96":174073577365507.6875,"5.97":183488841888223.0,"5.98":182501291397100.90625,"5.99":189774407067106.625,"6.0":201432357901308.0,"6.01":223367108239252.96875,"6.0200000000000005":242204958655992.4375,"6.03":258273696195340.21875,"6.04":284372523000776.125,"6.05":308620101484934.5625,"6.0600000000000005":346807869664821.0625,"6.07":399879546149178.5625,"6.08":456441510008366.625,"6.09":503947284003500.625,"6.1000000000000005":582119124562735.0,"6.11":632499007255985.875,"6.12":763435077886381.5,"6.13":1066723516571311.875,"6.140000000000001":1426115096191647.0,"6.15":2005201720795805.0,"6.16":2336245136818683.5,"6.17":2648769783068702.0,"6.18":2941309320226943.5,"6.19":3505327217392567.0,"6.2":3725120156947138.0,"6.21":3918024746750857.0,"6.22":4081050043781401.0,"6.23":4210638043775736.5,"6.24":4302737074041565.0,"6.25":4352924984046314.0,"6.26":4361155533148694.0,"6.2700000000000005":4306680507905657.5,"6.28":4197878286424828.5,"6.29":4030701751672445.0,"6.3":3802004097072666.5,"6.3100000000000005":3509617012490552.0,"6.32":3152573086048681.5,"6.33":2731290811564162.5,"6.34":2247710582223906.25,"6.3500000000000005":1705372224295279.25,"6.36":1109427336007078.5,"6.37":615545985834787.25,"6.38":330405583717240.375,"6.390000000000001":230826189917821.625,"6.4":138100252809865.78125,"6.41":80339079618507.34375,"6.42":48296141887472.109375,"6.43":21051536646914.8984375,"6.44":31805814689891.2109375,"6.45":58964683870803.390625,"6.46":83604191130491.75,"6.47":114656141102429.4375,"6.48":141826723270937.4375,"6.49":165067127783494.59375,"6.5":183540237187603.34375,"6.51":198618626750798.6875,"6.5200000000000005":210239354065335.1875,"6.53":216325495475637.78125,"6.54":221010026600385.15625,"6.55":222785441275422.40625,"6.5600000000000005":223537241560272.53125,"6.57":220885646335592.84375,"6.58":215587438119942.53125,"6.59":208811099196505.375,"6.6000000000000005":201066891090133.3125,"6.61":192876296396209.28125,"6.62":182964869083356.1875,"6.63":175910158693256.9375,"6.640000000000001":169864589740572.0625,"6.65":165196609685323.59375,"6.66":162201187941837.9375,"6.67":160220813605271.9375,"6.68":158992368404232.4375,"6.69":162982930303038.84375,"6.7":168193989245788.5,"6.71":181190079042861.1875,"6.72":210121708815166.34375,"6.73":238516295337762.96875,"6.74":267689922776969.71875,"6.75":290453705885979.25,"6.76":335422316518599.6875,"6.7700000000000005":379616115280303.5,"6.78":416195213383808.25,"6.79":443375708547515.75,"6.8":459477658544349.5,"6.8100000000000005":462950586922711.6875,"6.82":452395132097440.75,"6.83":426581458037174.8125,"6.84":384465175513723.4375,"6.8500000000000005":325201567751417.9375,"6.86":283290345839193.0625,"6.87":237254743614918.03125,"6.88":187558544733994.59375,"6.890000000000001":128717837615029.125,"6.9":87469491404584.515625,"6.91":68162300633754.6015625,"6.92":49163974642196.3359375,"6.93":32000379425244.08984375,"6.94":22244093034653.0078125,"6.95":43827066065581.0234375,"6.96":70040552032404.140625,"6.97":132122652337268.890625,"6.98":311134410359157.625,"6.99":595218053541113.25,"7.0":938916756542597.625,"7.01":1422804193544377.75,"7.0200000000000005":2048921314425313.0,"7.03":2696491280576872.5,"7.04":3251424167523416.5,"7.05":3697342226365001.5,"7.0600000000000005":4018849107158341.0,"7.07":4213215232405682.5,"7.08":4272506914696550.0,"7.09":4191086135006850.5,"7.1000000000000005":3965876389675594.0,"7.11":3596572912690231.0,"7.12":3086213192611462.0,"7.13":2476426366588387.0,"7.140000000000001":1908632517392480.5,"7.15":1433813613127646.25,"7.16":1061911283778355.625,"7.17":726547376199396.75,"7.18":416058115927663.5,"7.19":225426349339783.84375,"7.2":136115590074149.796875,"7.21":104436914437961.125,"7.22":79517109027904.59375,"7.23":65169515852711.6875,"7.24":82901010789404.03125,"7.25":105272528421266.875,"7.26":128599546148497.9375,"7.2700000000000005":153990015322749.21875,"7.28":240623576692571.21875,"7.29":325680690422510.0,"7.3":405082131922397.875,"7.3100000000000005":486443445258978.5,"7.32":546898041515713.4375,"7.33":590317895211200.5,"7.34":608176755412310.875,"7.3500000000000005":614423679310408.875,"7.36":594870344049917.375,"7.37":551936464205873.6875,"7.38":495138064529552.6875,"7.390000000000001":427524957523356.9375,"7.4":355293427489157.6875,"7.41":292130326207336.1875,"7.42":228977034528611.71875,"7.43":169344459451730.0625,"7.44":120218273449916.21875,"7.45":110545550788726.359375,"7.46":99302396193223.171875,"7.47":89930122352165.953125,"7.48":81960296163216.171875,"7.49":67611418884971.6328125,"7.5":88083050381046.953125,"7.51":122995933158555.5625,"7.5200000000000005":155951210102930.78125,"7.53":182463135239345.4375,"7.54":213407060326302.75,"7.55":240094842576727.90625,"7.5600000000000005":271590954613401.53125,"7.57":342863187977981.625,"7.58":502308748659753.125,"7.59":716250927772190.625,"7.6000000000000005":995437537288510.625,"7.61":1358193348023179.75,"7.62":1754277326387864.75,"7.63":2142328855961362.25,"7.640000000000001":2521537775892885.0,"7.65":2890425527098106.5,"7.66":3246878834591659.5,"7.67":3588252795997856.0,"7.68":3911494036990647.5,"7.69":4213277511591760.5,"7.7":4490150511758598.0,"7.71":4738677706491182.0,"7.72":4955581515966967.0,"7.73":5137872793753186.0,"7.74":5282967588651715.0,"7.75":5388786635394506.0,"7.76":5453835130396951.0,"7.7700000000000005":5477261240706210.0,"7.78":7463069391209271.0,"7.79":7724585179244676.0,"7.8":5882150851831960.0,"7.8100000000000005":5159312397387028.0,"7.82":4982756841128551.0,"7.83":4773434425310328.0,"7.84":4534871457838308.0,"7.8500000000000005":4270982948712388.0,"7.86":3985821003236378.0,"7.87":3668227997929006.5,"7.88":3345323259111517.0,"7.890000000000001":3014460809768898.5,"7.9":2679983227907144.5,"7.91":2346005942776190.0,"7.92":2016323315746079.25,"7.930000000000001":1481427366096786.25,"7.94":1153188816258618.25,"7.95":851202536656411.625,"7.96":559145359841911.0625,"7.97":448735948271647.0625,"7.98":417332207652970.6875,"7.99":375443113391326.625,"8.0":309688226928108.375,"8.01":248620353996595.53125,"8.02":146843556855475.25,"8.03":25217410157494.8125,"8.040000000000001":0.0,"8.05":0.0,"8.06":0.0,"8.07":0.0,"8.08":0.0,"8.09":0.0,"8.1":0.0,"8.11":0.0,"8.120000000000001":0.0,"8.13":67552282294845.2578125,"8.14":174512190227728.84375,"8.15":195020061880576.0625,"8.16":224742557831015.4375,"8.17":256498017067001.28125,"8.18":277710309946926.59375,"8.19":303743399393601.25,"8.2":298321752470299.4375,"8.21":283348260662257.125,"8.22":273478269416141.90625,"8.23":246920385961681.21875,"8.24":201811014362167.96875,"8.25":136300824719477.34375,"8.26":92190000005446.078125,"8.27":80843970847091.453125,"8.28":74507980503704.5625,"8.290000000000001":72393417206306.109375,"8.3":63773073531307.1484375,"8.31":15542225584127.560546875,"8.32":0.0,"8.33":0.0,"8.34":0.0,"8.35":0.0,"8.36":0.0,"8.370000000000001":0.0,"8.38":0.0,"8.39":0.0,"8.4":0.0,"8.41":0.0,"8.42":0.0,"8.43":0.0,"8.44":0.0,"8.45":47310412539935.703125,"8.46":121227295977478.875,"8.47":198630612770006.40625,"8.48":303487927803647.125,"8.49":445208328505161.6875,"8.5":585108079927349.375,"8.51":817652065697117.625,"8.52":1214086838382389.5,"8.53":1552658680072426.75,"8.540000000000001":1766746480323938.0,"8.55":1915982109752883.75,"8.56":2076344964426418.25,"8.57":2229315321488395.75,"8.58":2368239885479850.5,"8.59":2491162158193468.0,"8.6":2596856138569587.5,"8.61":2684832322279713.0,"8.620000000000001":2754971003774470.5,"8.63":2166301460600949.25,"8.64":2183533635283213.5,"8.65":2196765882740266.5,"8.66":2195444873618268.75,"8.67":2180190019752302.0,"8.68":2151638413459735.5,"8.69":2110605899413995.25,"8.700000000000001":2058060287380483.5,"8.71":1995074591326662.75,"8.72":1922686644416811.0,"8.73":1841770738349452.25,"8.74":1752089588158626.25,"8.75":1649774488772195.75,"8.76":1589701528093112.0,"8.77":1897656124748806.25,"8.78":1757484493881433.0,"8.790000000000001":1611769993526785.75,"8.8":1460256564874056.0,"8.81":1311503736472732.25,"8.82":1122460898516189.5,"8.83":837741336817205.5,"8.84":516740233126658.1875,"8.85":365777189360485.25,"8.86":265736218735071.875,"8.870000000000001":165585623122087.3125,"8.88":103393281050085.03125,"8.89":76235596294762.984375,"8.9":52935227054165.015625,"8.91":32606819622401.20703125,"8.92":21609425352471.125,"8.93":42831445234681.4296875,"8.94":67866551649421.421875,"8.950000000000001":100022110682965.90625,"8.96":207709490951757.8125,"8.97":370211901519166.9375,"8.98":521616987648694.0625,"8.99":748889691767646.625,"9.0":1097481359919588.75,"9.01":1596281345605800.0,"9.02":2163403928508479.0,"9.03":2677098574578484.0,"9.040000000000001":3134225453533399.0,"9.05":3534988092784995.0,"9.06":3878733307141645.0,"9.07":4165737256239606.0,"9.08":4397262306119839.5,"9.09":4575736397206893.0,"9.1":4703290669064823.0,"9.11":4769371270759886.0,"9.120000000000001":4803660507048030.0,"9.13":4802543024587277.0,"9.14":4772000079939129.0,"9.15":4718243035317511.0,"9.16":4647507021254432.0,"9.17":4565846997261304.0,"9.18":4478945959605716.5,"9.19":4391944255485838.5,"9.200000000000001":4309297717613124.5,"9.21":4234670702027008.0,"9.22":4170868183577207.5,"9.23":4119808941548581.5,"9.24":4082539665281773.0,"9.25":4059287642861728.5,"9.26":4049547679209211.0,"9.27":4052197129059774.5,"9.28":4065631517491507.0,"9.290000000000001":4087912229770470.5,"9.3":4116917234527958.5,"9.31":4150485786563988.0,"9.32":4186548537915568.5,"9.33":4223235442220492.0,"9.34":4258955216760429.5,"9.35":4292441855275199.5,"9.36":4322765670451438.5,"9.370000000000001":4349308481833513.0,"9.38":4371704738101888.5,"9.39":4392465563736392.0,"9.4":4396637778949987.5,"9.41":4396214908113527.5,"9.42":4390710934439584.5,"9.43":4379459724832232.0,"9.44":4361317710371560.5,"9.450000000000001":4331274090114597.5,"9.46":4290319833280464.5,"9.47":4235582702881280.5,"9.48":4163292697063558.0,"9.49":4068994568595683.0,"9.5":3947631189069452.0,"9.51":3793671854982460.5,"9.52":3601282197486756.0,"9.53":3364530079371722.0,"9.540000000000001":3077619811475457.5,"9.55":2735145302791517.0,"9.56":2332351464523427.5,"9.57":1865392388114473.5,"9.58":1349477077526289.0,"9.59":925923616356540.125,"9.6":604649335807676.625,"9.61":383980969922072.3125,"9.620000000000001":332549166940274.0,"9.63":295484118139215.5625,"9.64":272273099373840.0,"9.65":289760744233515.0,"9.66":292074672455569.5625,"9.67":287602815367644.375,"9.68":261964997427350.75,"9.69":232000441833935.84375,"9.700000000000001":197982571464121.46875,"9.71":178555245271548.96875,"9.72":139569774019945.390625,"9.73":126415227004341.03125,"9.74":119659450604935.359375,"9.75":117355478671350.421875,"9.76":116411135115670.109375,"9.77":116762689408752.59375,"9.78":119088410923224.890625,"9.790000000000001":120801371561162.3125,"9.8":126950930743909.625,"9.81":139666847468901.765625,"9.82":177469446918328.46875,"9.83":214628259982467.375,"9.84":293639532543957.0,"9.85":322466066069389.25,"9.86":399278273435078.3125,"9.870000000000001":437641151046891.875,"9.88":452925639453066.0,"9.89":345136392209737.0625,"9.9":260728771670609.25,"9.91":190906913877568.90625,"9.92":150742281786897.28125,"9.93":113699584093378.234375,"9.94":87063686859508.484375,"9.950000000000001":72415686514635.828125,"9.96":60367917771208.0,"9.97":49881968897198.5234375,"9.98":43178592809309.0,"9.99":37853340117007.5625,"10.0":39096893723017.75},"5":{"5.0":3.2956460463,"5.01":3.1871452087,"5.0200000000000005":3.0951648928,"5.03":3.0202338315,"5.04":2.9627359603,"5.05":2.9229542274,"5.0600000000000005":2.9011213363,"5.07":2.8974739213,"5.08":2.9123064117,"5.09":2.9460208065,"5.1000000000000005":2.9991687579,"5.11":3.0724827425,"5.12":3.1668936616,"5.13":3.2780196117,"5.14":3.3799319551,"5.15":3.4712154597,"5.16":3.5486239724,"5.17":3.6173268045,"5.18":3.6659029467,"5.19":3.6775703011,"5.2":3.6766229867,"5.21":3.6433319644,"5.22":3.5753707361,"5.23":3.464161996,"5.24":3.2960576411,"5.25":3.0653830561,"5.26":2.7739315484,"5.2700000000000005":2.5075722764,"5.28":2.2716652341,"5.29":2.0694352309,"5.3":1.9042580442,"5.3100000000000005":1.7797945081,"5.32":1.6999084075,"5.33":1.6686951812,"5.34":1.6904539963,"5.3500000000000005":1.7696334084,"5.36":1.9107493678,"5.37":2.1182670746,"5.38":2.3962961137,"5.39":2.7489694359,"5.4":3.1795056328,"5.41":3.6908132703,"5.42":4.2837984872,"5.43":4.9273828073,"5.44":5.4863888016,"5.45":5.9415118282,"5.46":6.2253062167,"5.47":6.4365392673,"5.48":6.6565263823,"5.49":6.8842570129,"5.5":7.0959966844,"5.51":7.1630393969,"5.5200000000000005":7.0888581188,"5.53":6.9454270678,"5.54":6.7654352369,"5.55":6.5586173128,"5.5600000000000005":6.3432833552,"5.57":6.1325510792,"5.58":5.931386338,"5.59":5.7465790767,"5.6000000000000005":5.5802582524,"5.61":5.4334555844,"5.62":5.3065848025,"5.63":5.1995115086,"5.64":5.1116345676,"5.65":5.0419388066,"5.66":4.989085721,"5.67":4.9515172295,"5.68":4.9275678532,"5.69":4.9155801925,"5.7":4.9140182843,"5.71":4.9215733817,"5.72":4.9372568987,"5.73":4.9604757185,"5.74":4.9910857525,"5.75":5.0294351041,"5.76":5.0758265129,"5.7700000000000005":5.1308035694,"5.78":5.1939912303,"5.79":5.265828415,"5.8":5.3438636322,"5.8100000000000005":5.3922656659,"5.82":5.4196256779,"5.83":5.4129000149,"5.84":5.4160434211,"5.8500000000000005":5.4329137892,"5.86":5.4502180737,"5.87":5.4467459177,"5.88":5.4627791215,"5.89":5.4974653287,"5.9":5.5462553911,"5.91":5.6061754239,"5.92":5.6733309043,"5.93":5.7200470787,"5.94":5.7611151917,"5.95":5.8012290671,"5.96":5.8362335617,"5.97":5.8627311534,"5.98":5.8778314406,"5.99":5.8793909205,"6.0":5.857197085,"6.01":5.8168987036,"6.0200000000000005":5.7623984086,"6.03":5.6938422322,"6.04":5.6115088455,"6.05":5.5159524231,"6.0600000000000005":5.4044723179,"6.07":5.2709942744,"6.08":5.1226172509,"6.09":4.9597585508,"6.1000000000000005":4.7689491008,"6.11":4.550949818,"6.12":4.2738587871,"6.13":3.9402523433,"6.140000000000001":3.5497835504,"6.15":3.1673044649,"6.16":2.7963957669,"6.17":2.442264294,"6.18":2.1079944026,"6.19":1.7990647407,"6.2":1.5133031122,"6.21":1.2563696168,"6.22":1.0312402502,"6.23":0.8408860394,"6.24":0.6882461502,"6.25":0.5761797745,"6.26":0.5074359705,"6.2700000000000005":0.4843544893,"6.28":0.509181175,"6.29":0.5836063482,"6.3":0.7087608712,"6.3100000000000005":0.8851044804,"6.32":1.112325954,"6.33":1.3892605147,"6.34":1.7138307379,"6.3500000000000005":2.083016315,"6.36":2.492856767,"6.37":2.8727141563,"6.38":3.1856750176,"6.390000000000001":3.4513004438,"6.4":3.6665619046,"6.41":3.8419372913,"6.42":4.0091263274,"6.43":4.1780846246,"6.44":4.3178613553,"6.45":4.4441540056,"6.46":4.5682523605,"6.47":4.682950624,"6.48":4.795782271,"6.49":4.9048914268,"6.5":5.0092480865,"6.51":5.108249546,"6.5200000000000005":5.2010736788,"6.53":5.2869026449,"6.54":5.365300901,"6.55":5.43581862,"6.5600000000000005":5.4981758328,"6.57":5.5520585792,"6.58":5.5975014051,"6.59":5.6346853238,"6.6000000000000005":5.6638977349,"6.61":5.6855509264,"6.62":5.7000663153,"6.63":5.7080322474,"6.640000000000001":5.7102380688,"6.65":5.7073809471,"6.66":5.7001596908,"6.67":5.6900130135,"6.68":5.6779007501,"6.69":5.6604569747,"6.7":5.6416043596,"6.71":5.6157727303,"6.72":5.5758130426,"6.73":5.535068241,"6.74":5.4941202699,"6.75":5.452998769,"6.76":5.4129572101,"6.7700000000000005":5.373836793,"6.78":5.3357093371,"6.79":5.2988159486,"6.8":5.2634527016,"6.8100000000000005":5.2300110509,"6.82":5.1990156427,"6.83":5.1711568646,"6.84":5.147315633,"6.8500000000000005":5.1285782102,"6.86":5.1171240163,"6.87":5.1133038455,"6.88":5.1189693948,"6.890000000000001":5.1335108009,"6.9":5.1362978431,"6.91":5.1255421872,"6.92":5.1237890528,"6.93":5.1311175701,"6.94":5.1453646224,"6.95":5.1301207142,"6.96":5.1292947263,"6.97":5.1271405475,"6.98":5.0978106593,"6.99":5.0243733658,"7.0":4.903033787,"7.01":4.7507810941,"7.0200000000000005":4.5709545148,"7.03":4.405017343,"7.04":4.3048835098,"7.05":4.276160601,"7.0600000000000005":4.322905937,"7.07":4.4479661754,"7.08":4.6527497523,"7.09":4.9371749809,"7.1000000000000005":5.2995879209,"7.11":5.7367155044,"7.12":6.2432006786,"7.13":6.794069326,"7.140000000000001":7.3207935609,"7.15":7.8122736475,"7.16":8.2555241018,"7.17":8.6397777388,"7.18":8.9383441618,"7.19":9.1452892679,"7.2":9.2854111846,"7.21":9.3617790343,"7.22":9.4047225463,"7.23":9.4077025985,"7.24":9.3394937657,"7.25":9.2345424763,"7.26":9.0976666947,"7.2700000000000005":8.9322805879,"7.28":8.6841353372,"7.29":8.4172677248,"7.3":8.1338978556,"7.3100000000000005":7.8249302775,"7.32":7.5232675676,"7.33":7.2255503361,"7.34":6.943458146,"7.3500000000000005":6.6830391917,"7.36":6.44598433,"7.37":6.2328365426,"7.38":6.0375469885,"7.390000000000001":5.8595758957,"7.4":5.7020444785,"7.41":5.5399052248,"7.42":5.3931002593,"7.43":5.2525451731,"7.44":5.1168483754,"7.45":4.959840022,"7.46":4.8190239662,"7.47":4.6921465477,"7.48":4.5780089387,"7.49":4.4813367264,"7.5":4.3734275265,"7.51":4.2672174999,"7.5200000000000005":4.1725865455,"7.53":4.0877195323,"7.54":3.9897921075,"7.55":3.8859403247,"7.5600000000000005":3.7800791533,"7.57":3.657799187,"7.58":3.5142836518,"7.59":3.3525778058,"7.6000000000000005":3.1680814565,"7.61":2.9492480783,"7.62":2.7131026466,"7.63":2.4784876533,"7.640000000000001":2.2451078417,"7.65":2.013226491,"7.66":1.7836778488,"7.67":1.5578133814,"7.68":1.3374314104,"7.69":1.1246938182,"7.7":0.9220336599,"7.71":0.7320575077,"7.72":0.5574462079,"7.73":0.4008574645,"7.74":0.2648333063,"7.75":0.1517150676,"7.76":0.0635680457,"7.7700000000000005":0.0021175156,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0433594773,"7.82":0.12649474,"7.83":0.2375941208,"7.84":0.375308676,"7.8500000000000005":0.5379033713,"7.86":0.7233012103,"7.87":0.9290082312,"7.88":1.152622775,"7.890000000000001":1.391328367,"7.9":1.642269533,"7.91":1.9025591572,"7.92":2.1693446907,"7.930000000000001":2.4380833399,"7.94":2.7096126439,"7.95":2.9728312332,"7.96":3.1819397398,"7.97":3.3583691645,"7.98":3.4813122094,"7.99":3.5740383338,"8.0":3.639889803,"8.01":3.6850130041,"8.02":3.7088687223,"8.03":3.7198452091,"8.040000000000001":3.7175790027,"8.05":3.7240998627,"8.06":3.7484161434,"8.07":3.7922237497,"8.08":3.8572463032,"8.09":3.9451876237,"8.1":4.0576849675,"8.11":4.1962641273,"8.120000000000001":4.362297262,"8.13":4.5372905929,"8.14":4.7125351719,"8.15":4.8816459809,"8.16":5.0331962473,"8.17":5.1652042772,"8.18":5.278026329,"8.19":5.369441246,"8.2":5.4281042067,"8.21":5.462472631,"8.22":5.470675548,"8.23":5.4656351845,"8.24":5.4203743139,"8.25":5.3651279927,"8.26":5.2980680627,"8.27":5.2168626573,"8.28":5.1363300539,"8.290000000000001":5.0582558334,"8.3":4.9850474573,"8.31":4.9200634221,"8.32":4.8605362993,"8.33":4.8145587437,"8.34":4.7898652215,"8.35":4.7889196147,"8.36":4.8139567026,"8.370000000000001":4.866922284,"8.38":4.9494132717,"8.39":5.0626194824,"8.4":5.2072690246,"8.41":5.3835792965,"8.42":5.5912156569,"8.43":5.8292597932,"8.44":6.0961896901,"8.45":6.3744198854,"8.46":6.6392480202,"8.47":6.8644373597,"8.48":7.067370359,"8.49":7.2299060296,"8.5":7.3738295823,"8.51":7.4893100907,"8.52":7.5895173125,"8.53":7.6621139316,"8.540000000000001":7.7004642624,"8.55":7.7176194206,"8.56":7.7183948385,"8.57":7.7007611068,"8.58":7.6668293407,"8.59":7.6182810054,"8.6":7.5569403577,"8.61":7.4847786899,"8.620000000000001":7.4037744025,"8.63":7.3290885143,"8.64":7.2366351257,"8.65":7.1403166279,"8.66":7.0423983442,"8.67":6.9449676349,"8.68":6.8500435968,"8.69":6.7596212997,"8.700000000000001":6.675631861,"8.71":6.5998451748,"8.72":6.5338507181,"8.73":6.4789496747,"8.74":6.4344711674,"8.75":6.3968468954,"8.76":6.3778765954,"8.77":6.3850923843,"8.78":6.396703017,"8.790000000000001":6.4179349464,"8.8":6.4381629025,"8.81":6.4605470977,"8.82":6.4744260339,"8.83":6.4844413552,"8.84":6.4990207537,"8.85":6.491037188,"8.86":6.4722816891,"8.870000000000001":6.4519957996,"8.88":6.3974117587,"8.89":6.3102425083,"8.9":6.2195037783,"8.91":6.1229299237,"8.92":6.0154985921,"8.93":5.8603649211,"8.94":5.7011348507,"8.950000000000001":5.5371275491,"8.96":5.3305138117,"8.97":5.0947808595,"8.98":4.8066816639,"8.99":4.4735364687,"9.0":4.0955201787,"9.01":3.6649347684,"9.02":3.2076441008,"9.03":2.7806931424,"9.040000000000001":2.3870555068,"9.05":2.0291749814,"9.06":1.7089303603,"9.07":1.4275491438,"9.08":1.1855389422,"9.09":0.9826548604,"9.1":0.8178889068,"9.11":0.6894024498,"9.120000000000001":0.5950393235,"9.13":0.5318044943,"9.14":0.4963428047,"9.15":0.4849942409,"9.16":0.4939344161,"9.17":0.5193159061,"9.18":0.5574032609,"9.19":0.6046950824,"9.200000000000001":0.6580274631,"9.21":0.7146542798,"9.22":0.7723012543,"9.23":0.8291922564,"9.24":0.8840479385,"9.25":0.936058377,"9.26":0.9848328556,"9.27":1.0303311903,"9.28":1.072781989,"9.290000000000001":1.1125939099,"9.3":1.1502662984,"9.31":1.186305517,"9.32":1.221152853,"9.33":1.2551291068,"9.34":1.2883998794,"9.35":1.320964251,"9.36":1.3526680407,"9.370000000000001":1.3832412522,"9.38":1.4123577222,"9.39":1.4397362817,"9.4":1.4650631443,"9.41":1.4884663806,"9.42":1.5102876688,"9.43":1.5312828989,"9.44":1.5527042215,"9.450000000000001":1.5763366406,"9.46":1.6046205444,"9.47":1.6405782162,"9.48":1.6878144634,"9.49":1.7504587297,"9.5":1.8330707996,"9.51":1.9405134843,"9.52":2.077796013,"9.53":2.2498935144,"9.540000000000001":2.4615494232,"9.55":2.7170687878,"9.56":3.0201112393,"9.57":3.3734927603,"9.58":3.7700581856,"9.59":4.1493952894,"9.6":4.5141160865,"9.61":4.8624267825,"9.620000000000001":5.1751817999,"9.63":5.4679695226,"9.64":5.7511795426,"9.65":5.9716419898,"9.66":6.1832279264,"9.67":6.3648008176,"9.68":6.5059596852,"9.69":6.5737356739,"9.700000000000001":6.6185414147,"9.71":6.6393522235,"9.72":6.6370818831,"9.73":6.6165799689,"9.74":6.5878626386,"9.75":6.5636468807,"9.76":6.5547360458,"9.77":6.5682663723,"9.78":6.6068876936,"9.790000000000001":6.6687096707,"9.8":6.7469605688,"9.81":6.8309610144,"9.82":6.907879709,"9.83":6.9647401421,"9.84":6.9971269054,"9.85":7.0078250217,"9.86":6.9967644438,"9.870000000000001":6.9616081488,"9.88":6.9061990364,"9.89":6.8248376277,"9.9":6.7221522359,"9.91":6.604081679,"9.92":6.4617120069,"9.93":6.3192982894,"9.94":6.1720880836,"9.950000000000001":6.0189457331,"9.96":5.8699341694,"9.97":5.7249723011,"9.98":5.5834684112,"9.99":5.444875903,"10.0":5.3035790217}} \ No newline at end of file diff --git a/tests/output/output_2/component_index_vs_RE_value.json b/tests/output/output_2/component_index_vs_RE_value.json index 1f3c54c..3d0d879 100644 --- a/tests/output/output_2/component_index_vs_RE_value.json +++ b/tests/output/output_2/component_index_vs_RE_value.json @@ -1 +1 @@ -{"0":{"1":477.1151575591,"2":181.8950165697,"3":0.5234417462,"4":0.5234417462,"5":0.5234417462,"6":0.5234417462,"7":0.5234417462,"8":0.5234417462,"9":0.5234417462,"10":0.5234417462}} +{"0":{"1":477.1151575591,"2":181.9381472904,"3":3.8968296168,"4":15.4446994529,"5":0.050537146,"6":0.1378804104,"7":0.0095666506,"8":0.0625164884,"9":0.0060391372,"10":0.0309647978}} \ No newline at end of file diff --git a/tests/output/output_2/component_index_vs_pratio_col.json b/tests/output/output_2/component_index_vs_pratio_col.json index 61465dd..a0fe724 100644 --- a/tests/output/output_2/component_index_vs_pratio_col.json +++ b/tests/output/output_2/component_index_vs_pratio_col.json @@ -1 +1 @@ -{"0":{"0":0.0833641066,"1":0.1035847705,"2":0.8130511229},"1":{"0":0.0832033675,"1":0.1052933866,"2":0.8115032459},"2":{"0":0.0819985332,"1":0.1181004714,"2":0.7999009954},"3":{"0":0.0738387331,"1":0.2048370908,"2":0.7213241761},"4":{"0":0.0418091531,"1":0.5457849786,"2":0.4124058683},"5":{"0":0.0117229038,"1":0.8922342899,"2":0.0960428063},"6":{"0":0.0062914579,"1":0.9807387617,"2":0.0129697804},"7":{"0":0.0094478659,"1":0.9895521985,"2":0.0009999356},"8":{"0":0.0157472415,"1":0.9842527585,"2":0.0},"9":{"0":0.0251902614,"1":0.9748097386,"2":0.0},"10":{"0":0.0383110733,"1":0.9616889267,"2":0.0},"11":{"0":0.0558477803,"1":0.9441522197,"2":0.0},"12":{"0":0.0786353777,"1":0.9213646223,"2":0.0},"13":{"0":0.1075375533,"1":0.8924624467,"2":0.0},"14":{"0":0.143395796,"1":0.856604204,"2":0.0},"15":{"0":0.1869565209,"1":0.8130434791,"2":0.0},"16":{"0":0.2387629405,"1":0.7612370595,"2":0.0},"17":{"0":0.2990046793,"1":0.7009953207,"2":0.0},"18":{"0":0.3673284362,"1":0.6326715638,"2":0.0},"19":{"0":0.4426238536,"1":0.5573542646,"2":0.0000218819},"20":{"0":0.5228655038,"1":0.4770566778,"2":0.0000778185},"21":{"0":0.605104567,"1":0.3947394751,"2":0.0001559579},"22":{"0":0.6856502359,"1":0.3141006976,"2":0.0002490665},"23":{"0":0.7605522499,"1":0.2390988057,"2":0.0003489443},"24":{"0":0.8262912468,"1":0.1732615993,"2":0.0004471539},"25":{"0":0.8804688444,"1":0.1189949496,"2":0.000536206},"26":{"0":0.9222310543,"1":0.0771581706,"2":0.0006107751},"27":{"0":0.9522574732,"1":0.0470736654,"2":0.0006688614},"28":{"0":0.9723545037,"1":0.0269353436,"2":0.0007101528},"29":{"0":0.9848558164,"1":0.0144071384,"2":0.0007370452},"30":{"0":0.9920703172,"1":0.0071767354,"2":0.0007529474},"31":{"0":0.9959243689,"1":0.0033143251,"2":0.000761306},"32":{"0":0.9978246931,"1":0.001410202,"2":0.0007651049},"33":{"0":0.9986864778,"1":0.0005470068,"2":0.0007665154},"34":{"0":0.9990443735,"1":0.0001886853,"2":0.0007669412},"35":{"0":0.9991797847,"1":0.000053113,"2":0.0007671023},"36":{"0":0.9992262515,"1":0.0000065909,"2":0.0007671576},"37":{"0":0.9992366349,"1":0.0,"2":0.0007633651},"38":{"0":0.999238301,"1":0.0,"2":0.000761699},"39":{"0":0.9992387109,"1":0.0,"2":0.0007612891},"40":{"0":0.999238801,"1":0.0,"2":0.000761199},"41":{"0":0.9992388184,"1":0.0,"2":0.0007611816},"42":{"0":0.9992388214,"1":0.0,"2":0.0007611786},"43":{"0":0.9992388218,"1":0.0,"2":0.0007611782},"44":{"0":0.9992388219,"1":0.0,"2":0.0007611781},"45":{"0":0.9992388219,"1":0.0,"2":0.0007611781},"46":{"0":0.9992388219,"1":0.0,"2":0.0007611781},"47":{"0":0.9992388219,"1":0.0,"2":0.0007611781},"48":{"0":0.9992388219,"1":0.0,"2":0.0007611781},"49":{"0":0.9992388219,"1":0.0,"2":0.0007611781}} +{"0":{"0":0.0062011968,"1":0.0,"2":0.0,"3":2.518220297e-16,"4":0.0,"5":0.0,"6":0.0000697061,"7":0.0004626493,"8":0.0119308583,"9":0.9813355895},"1":{"0":0.0076512573,"1":0.0,"2":0.0,"3":2.507813915e-16,"4":0.0,"5":0.0,"6":0.0000739082,"7":0.0004265537,"8":0.0119429019,"9":0.9799053789},"2":{"0":0.0182628758,"1":0.0,"2":0.0,"3":2.431092533e-16,"4":0.0,"5":0.0,"6":0.0001042818,"7":0.0001719625,"8":0.0120039459,"9":0.9694569339},"3":{"0":0.0778442752,"1":0.0,"2":0.0109341895,"3":1.956788276e-16,"4":0.0,"5":0.0,"6":0.0003064126,"7":0.0000080719,"8":0.0097150345,"9":0.9011920164},"4":{"0":0.2239708277,"1":0.0,"2":0.041566808,"3":7.811775638e-17,"4":0.0,"5":0.0,"6":0.0008151248,"7":0.0,"8":0.0033184571,"9":0.7303287824},"5":{"0":0.3035822004,"1":0.0,"2":0.0585520458,"3":1.331108626e-17,"4":0.0,"5":0.000000906,"6":0.0011739464,"7":0.0,"8":0.0001890347,"9":0.6365018666},"6":{"0":0.3178284196,"1":0.0,"2":0.0620363322,"3":1.076262981e-18,"4":0.0,"5":0.0,"6":0.0013107652,"7":0.0,"8":0.0,"9":0.618824483},"7":{"0":0.3159885333,"1":0.0,"2":0.0573463178,"3":0.0,"4":0.0,"5":0.0000571564,"6":0.0015484328,"7":0.0,"8":0.0,"9":0.6250595597},"8":{"0":0.3135144762,"1":0.0,"2":0.0573161228,"3":0.0,"4":0.0,"5":0.0000613973,"6":0.0017553685,"7":0.0,"8":0.0010321357,"9":0.6263204995},"9":{"0":0.310909318,"1":0.0,"2":0.0602393929,"3":4.718281558e-21,"4":0.0,"5":0.0000344768,"6":0.0019921147,"7":0.0,"8":0.002878618,"9":0.6239460797},"10":{"0":0.3071242395,"1":0.0,"2":0.0637910674,"3":9.094520677e-20,"4":0.0,"5":0.000002517,"6":0.0023237302,"7":0.0,"8":0.0053504053,"9":0.6214080406},"11":{"0":0.3004093638,"1":0.0,"2":0.0645165649,"3":5.901476741e-19,"4":0.0,"5":0.0000031519,"6":0.0028382964,"7":0.0,"8":0.008162363,"9":0.62407026},"12":{"0":0.2917766389,"1":0.0,"2":0.0654445577,"3":1.232746965e-18,"4":0.0,"5":0.000004014,"6":0.0034997097,"7":0.0,"8":0.0117759087,"9":0.627499171},"13":{"0":0.2809771012,"1":0.0,"2":0.0666016948,"3":2.036937797e-18,"4":0.0,"5":0.0000051311,"6":0.0043270807,"7":0.0,"8":0.0162953611,"9":0.6317936311},"14":{"0":0.2678062542,"1":0.0,"2":0.0680090511,"3":3.017953544e-18,"4":0.0,"5":0.0000065331,"6":0.0053360702,"7":0.0,"8":0.0218060816,"9":0.6370360097},"15":{"0":0.2521365691,"1":0.0,"2":0.0696790736,"3":4.18535893e-18,"4":0.0,"5":0.0000082459,"6":0.0065364331,"7":0.0,"8":0.0283610988,"9":0.6432785796},"16":{"0":0.2339568071,"1":0.0,"2":0.0716116574,"3":5.540069805e-18,"4":0.0,"5":0.0000102839,"6":0.0079290133,"7":0.0,"8":0.0359647475,"9":0.6505274908},"17":{"0":0.2134154866,"1":0.0,"2":0.0737893642,"3":7.071119366e-18,"4":0.0,"5":0.0000126475,"6":0.0095024125,"7":0.0,"8":0.0445544455,"9":0.6587256437},"18":{"0":0.1908616306,"1":0.0,"2":0.0761724688,"3":8.75265897e-18,"4":0.0,"5":0.0000153246,"6":0.0112298607,"7":0.0,"8":0.0539834762,"9":0.6677372392},"19":{"0":0.1668698935,"1":0.0,"2":0.0786935998,"3":1.054224946e-17,"4":0.0,"5":0.0000183151,"6":0.0130672564,"7":0.0,"8":0.0640097221,"9":0.6773412132},"20":{"0":0.1422263114,"1":0.0,"2":0.0812414326,"3":1.238300885e-17,"4":0.0,"5":0.0000218161,"6":0.0149540232,"7":0.0,"8":0.0742966059,"9":0.6872598107},"21":{"0":0.1156230481,"1":0.0004376275,"2":0.0833474873,"3":1.389898546e-17,"4":0.0,"5":0.0000332299,"6":0.016739263,"7":0.000397017,"8":0.0830232803,"9":0.7003990468},"22":{"0":0.0855136744,"1":0.0005376259,"2":0.0877956416,"3":1.424991439e-17,"4":0.0,"5":0.000041088,"6":0.0182847239,"7":0.0020377177,"8":0.0878292268,"9":0.7179603016},"23":{"0":0.0589113334,"1":0.0006262559,"2":0.0917234596,"3":1.455984244e-17,"4":0.0,"5":0.0000480551,"6":0.0196500167,"7":0.0034875206,"8":0.092073597,"9":0.7334797617},"24":{"0":0.0365954827,"1":0.0007004835,"2":0.0950188836,"3":1.48193513e-17,"4":0.0,"5":0.0000538995,"6":0.0207951406,"7":0.0047041383,"8":0.095632181,"9":0.7464997908},"25":{"0":0.0188859026,"1":0.0007591642,"2":0.0976354299,"3":1.502482635e-17,"4":0.0,"5":0.0000585288,"6":0.0217037645,"7":0.0056700108,"8":0.0984548608,"9":0.7568323384},"26":{"0":0.0056342483,"1":0.0008028662,"2":0.099594516,"3":1.517824685e-17,"4":0.0,"5":0.0000619843,"6":0.0223835847,"7":0.0063930118,"8":0.1005661658,"9":0.764563623},"27":{"0":0.0018387366,"1":0.0007843489,"2":0.0992891328,"3":1.643796741e-17,"4":0.0,"5":0.0000604759,"6":0.0230625369,"7":0.0055445199,"8":0.1061446554,"9":0.7632755935},"28":{"0":0.0017333629,"1":0.0007508053,"2":0.0983392784,"3":1.778870633e-17,"4":0.0,"5":0.0000577671,"6":0.0236052743,"7":0.0043787121,"8":0.1116803681,"9":0.7594544318},"29":{"0":0.0016673739,"1":0.0007300674,"2":0.0977453637,"3":1.863134822e-17,"4":0.0,"5":0.0000560917,"6":0.0239437997,"7":0.0036515087,"8":0.1151330114,"9":0.7570727835},"30":{"0":0.0016288467,"1":0.0007181445,"2":0.0974016833,"3":1.911839009e-17,"4":0.0,"5":0.0000551281,"6":0.0241394614,"7":0.0032312327,"8":0.1171284068,"9":0.7556970964},"31":{"0":0.0016084433,"1":0.0007117849,"2":0.097217754,"3":1.937882708e-17,"4":0.0,"5":0.0000546141,"6":0.024244073,"7":0.0030064895,"8":0.1181953199,"9":0.7549615213},"32":{"0":0.0015983661,"1":0.0007086503,"2":0.0971269901,"3":1.950727315e-17,"4":0.0,"5":0.0000543611,"6":0.0242956653,"7":0.002895651,"8":0.1187214875,"9":0.7545988286},"33":{"0":0.0015939743,"1":0.0007072325,"2":0.0970857888,"3":1.956554422e-17,"4":0.0,"5":0.0000542463,"6":0.0243190622,"7":0.0028453555,"8":0.1189601712,"9":0.7544341693},"34":{"0":0.0015920775,"1":0.0007066431,"2":0.0970687101,"3":1.958971828e-17,"4":0.0,"5":0.0000541986,"6":0.0243287721,"7":0.002824495,"8":0.1190592,"9":0.7543659035},"35":{"0":0.0015913244,"1":0.0007064199,"2":0.0970622544,"3":1.959885854e-17,"4":0.0,"5":0.0000541807,"6":0.0243324451,"7":0.0028166102,"8":0.1190966448,"9":0.7543401204},"36":{"0":0.001591066,"1":0.0007063433,"2":0.0970600391,"3":1.960199509e-17,"4":0.0,"5":0.0000541745,"6":0.0243337055,"7":0.0028139045,"8":0.1191094943,"9":0.7543312728},"37":{"0":0.001590986,"1":0.0007063196,"2":0.0970593532,"3":1.960296616e-17,"4":0.0,"5":0.0000541726,"6":0.0243340957,"7":0.0028130668,"8":0.1191134725,"9":0.7543285336},"38":{"0":0.0015909637,"1":0.0007063131,"2":0.0970591627,"3":1.960323592e-17,"4":0.0,"5":0.0000541721,"6":0.0243342041,"7":0.0028128341,"8":0.1191145777,"9":0.7543277726},"39":{"0":0.0015909582,"1":0.0007063114,"2":0.0970591155,"3":1.960330279e-17,"4":0.0,"5":0.0000541719,"6":0.0243342309,"7":0.0028127764,"8":0.1191148516,"9":0.754327584},"40":{"0":0.001590957,"1":0.0007063111,"2":0.0970591051,"3":1.960331749e-17,"4":0.0,"5":0.0000541719,"6":0.0243342368,"7":0.0028127637,"8":0.1191149118,"9":0.7543275425},"41":{"0":0.0015909568,"1":0.000706311,"2":0.0970591031,"3":1.960332034e-17,"4":0.0,"5":0.0000541719,"6":0.024334238,"7":0.0028127613,"8":0.1191149235,"9":0.7543275345},"42":{"0":0.0015909568,"1":0.000706311,"2":0.0970591027,"3":1.960332082e-17,"4":0.0,"5":0.0000541719,"6":0.0243342382,"7":0.0028127609,"8":0.1191149255,"9":0.7543275331},"43":{"0":0.0015909567,"1":0.000706311,"2":0.0970591027,"3":1.960332089e-17,"4":0.0,"5":0.0000541719,"6":0.0243342382,"7":0.0028127608,"8":0.1191149258,"9":0.7543275329},"44":{"0":0.0015909567,"1":0.000706311,"2":0.0970591027,"3":1.96033209e-17,"4":0.0,"5":0.0000541719,"6":0.0243342382,"7":0.0028127608,"8":0.1191149258,"9":0.7543275329},"45":{"0":0.0015909567,"1":0.000706311,"2":0.0970591027,"3":1.96033209e-17,"4":0.0,"5":0.0000541719,"6":0.0243342382,"7":0.0028127608,"8":0.1191149258,"9":0.7543275329},"46":{"0":0.0015909567,"1":0.000706311,"2":0.0970591027,"3":1.96033209e-17,"4":0.0,"5":0.0000541719,"6":0.0243342382,"7":0.0028127608,"8":0.1191149258,"9":0.7543275329},"47":{"0":0.0015909567,"1":0.000706311,"2":0.0970591027,"3":1.96033209e-17,"4":0.0,"5":0.0000541719,"6":0.0243342382,"7":0.0028127608,"8":0.1191149258,"9":0.7543275329},"48":{"0":0.0015909567,"1":0.000706311,"2":0.0970591027,"3":1.96033209e-17,"4":0.0,"5":0.0000541719,"6":0.0243342382,"7":0.0028127608,"8":0.1191149258,"9":0.7543275329},"49":{"0":0.0015909567,"1":0.000706311,"2":0.0970591027,"3":1.96033209e-17,"4":0.0,"5":0.0000541719,"6":0.0243342382,"7":0.0028127608,"8":0.1191149258,"9":0.7543275329}} \ No newline at end of file diff --git a/tests/output/output_2/x_index_vs_y_col_components.json b/tests/output/output_2/x_index_vs_y_col_components.json index 0a6c20f..4ad7112 100644 --- a/tests/output/output_2/x_index_vs_y_col_components.json +++ b/tests/output/output_2/x_index_vs_y_col_components.json @@ -1 +1 @@ -{"0":{"1.5":0.6980072368,"1.51":0.6978061654,"1.52":0.6977601704,"1.53":0.6978200573,"1.54":0.6979297698,"1.55":0.6980296896,"1.56":0.6980601953,"1.57":0.6979652679,"1.58":0.6976959283,"1.59":0.6972132968,"1.6":0.6964910848,"1.61":0.6955173614,"1.62":0.6942954776,"1.6300000000000001":0.692844081,"1.6400000000000001":0.691196205,"1.6500000000000001":0.6893974759,"1.6600000000000001":0.687503531,"1.67":0.6855767916,"1.68":0.6836827761,"1.69":0.6818861679,"1.7":0.6802468713,"1.71":0.6788162939,"1.72":0.6776340829,"1.73":0.6767255206,"1.74":0.6760997472,"1.75":0.6757489333,"1.76":0.6756484668,"1.77":0.6757581636,"1.78":0.6760244446,"1.79":0.6763833673,"1.8":0.6767643424,"1.81":0.6770943246,"1.82":0.6773022323,"1.83":0.6773233334,"1.84":0.6771033299,"1.85":0.6766018891,"1.86":0.675795394,"1.87":0.6746787318,"1.8800000000000001":0.6732659907,"1.8900000000000001":0.6715899992,"1.9000000000000001":0.6697007115,"1.9100000000000001":0.6676625105,"1.92":0.6655505697,"1.93":0.6634464714,"1.94":0.6614333329,"1.95":0.6595907247,"1.96":0.6579896852,"1.97":0.6566881383,"1.98":0.6557270043,"1.99":0.655127258,"2.0":0.6548881386,"2.0100000000000002":0.6549866516,"2.02":0.6553784273,"2.0300000000000002":0.6559999205,"2.04":0.6567718547,"2.05":0.6576037334,"2.06":0.6583991737,"2.07":0.6590617583,"2.08":0.6595010613,"2.09":0.6596384814,"2.1":0.6594125185,"2.11":0.6587831483,"2.12":0.6577349969,"2.13":0.6562790797,"2.14":0.6544529492,"2.15":0.6523191906,"2.16":0.6499623044,"2.17":0.6474841188,"2.18":0.6449979729,"2.19":0.6426220025,"2.2":0.6404719315,"2.21":0.6386538276,"2.22":0.6372573085,"2.23":0.6363496848,"2.24":0.6359715003,"2.25":0.6361338731,"2.2600000000000002":0.6368179584,"2.27":0.6379767468,"2.2800000000000002":0.6395392878,"2.29":0.6414172884,"2.3000000000000003":0.6435138952,"2.31":0.6457343244,"2.32":0.6479978709,"2.33":0.6502507151,"2.34":0.6524788506,"2.35":0.6547203974,"2.36":0.6570765389,"2.37":0.6597203308,"2.38":0.6629026844,"2.39":0.6669549142,"2.4":0.6722873693,"2.41":0.679383824,"2.42":0.6887914872,"2.43":0.7011066929,"2.44":0.7169565418,"2.45":0.7369769754,"2.46":0.761787957,"2.47":0.7919666159,"2.48":0.8280193532,"2.49":0.8703540151,"2.5":0.919253306,"2.5100000000000002":0.9748506226,"2.52":1.0371094543,"2.5300000000000002":1.1058074029,"2.54":1.1805257372,"2.5500000000000003":1.2606452074,"2.56":1.3453486263,"2.57":1.4336304688,"2.58":1.5243134678,"2.59":1.6160719085,"2.6":1.7074610446,"2.61":1.7969518026,"2.62":1.8829697082,"2.63":1.9639367762,"2.64":2.0383149604,"2.65":2.1046496658,"2.66":2.1616117971,"2.67":2.2080368409,"2.68":2.2429595716,"2.69":2.2656431173,"2.7":2.2756013165,"2.71":2.2726135446,"2.72":2.2567314586,"2.73":2.2282774131,"2.74":2.1878346055,"2.75":2.136229317,"2.7600000000000002":2.0745059061,"2.77":2.003895476,"2.7800000000000002":1.9257793633,"2.79":1.8416487723,"2.8000000000000003":1.7530620077,"2.81":1.6616008195,"2.82":1.5688273835,"2.83":1.476243381,"2.84":1.3852525327,"2.85":1.2971277754,"2.86":1.2129840624,"2.87":1.1337575274,"2.88":1.0601914853,"2.89":0.9928294661,"2.9":0.9320151998,"2.91":0.8778992077,"2.92":0.8304514097,"2.93":0.7894789481,"2.94":0.7546482617,"2.95":0.7255103161,"2.96":0.7015278288,"2.97":0.6821033036,"2.98":0.6666067225,"2.99":0.6544018177,"3.0":0.6448699737,"3.0100000000000002":0.6374309597,"3.02":0.631559883,"3.0300000000000002":0.626799952,"3.04":0.6227708505,"3.0500000000000003":0.6191727336,"3.06":0.61578605,"3.0700000000000003":0.6124675764,"3.08":0.609143198,"3.09":0.6057980829,"3.1":0.6024649822,"3.11":0.5992114237,"3.12":0.5961265663,"3.13":0.5933084479,"3.14":0.5908522834,"3.15":0.5888403704,"3.16":0.5873340344,"3.17":0.5863679067,"3.18":0.5859466814,"3.19":0.5860443471,"3.2":0.5866057555,"3.21":0.5875502592,"3.22":0.5887770514,"3.23":0.5901717593,"3.24":0.5916137961,"3.25":0.592983955,"3.2600000000000002":0.594171742,"3.27":0.5950819822,"3.2800000000000002":0.5956403,"3.29":0.5957971595,"3.3000000000000003":0.5955302535,"3.31":0.5948451385,"3.3200000000000003":0.5937741279,"3.33":0.5923735655,"3.34":0.5907197,"3.35":0.5889034665,"3.36":0.587024544,"3.37":0.5851850994,"3.38":0.5834836424,"3.39":0.5820094061,"3.4":0.5808376291,"3.41":0.5800260586,"3.42":0.5796129111,"3.43":0.5796164376,"3.44":0.5800361339,"3.45":0.5808555315,"3.46":0.5820464006,"3.47":0.5835741012,"3.48":0.5854037383,"3.49":0.587506716,"3.5":0.5898672445,"3.5100000000000002":0.5924883438,"3.52":0.5953968991,"3.5300000000000002":0.598647364,"3.54":0.6023237697,"3.5500000000000003":0.6065397872,"3.56":0.6114366891,"3.5700000000000003":0.6171791747,"3.58":0.6239491416,"3.59":0.6319376062,"3.6":0.6413350921,"3.61":0.6523208992,"3.62":0.6650517554,"3.63":0.6796504016,"3.64":0.6961946991,"3.65":0.7147078443,"3.66":0.7351502479,"3.67":0.7574135795,"3.68":0.7813173912,"3.69":0.8066086239,"3.7":0.8329641781,"3.71":0.8599965848,"3.72":0.8872626736,"3.73":0.9142749864,"3.74":0.9405155532,"3.75":0.965451524,"3.7600000000000002":0.9885520558,"3.77":1.0093057763,"3.7800000000000002":1.0272381099,"3.79":1.0419277388,"3.8000000000000003":1.0530214987,"3.81":1.0602470667,"3.8200000000000003":1.0634228854,"3.83":1.0624648852,"3.84":1.0573897011,"3.85":1.0483142313,"3.86":1.0354515464,"3.87":1.0191033163,"3.88":0.9996490737,"3.89":0.9775327721,"3.9":0.9532472136,"3.91":0.9273170099,"3.92":0.9002808006,"3.93":0.8726734776,"3.94":0.8450091537,"3.95":0.8177655713,"3.96":0.7913705685,"3.97":0.766191115,"3.98":0.7425253055,"3.99":0.7205975491,"4.0":0.7005570426,"4.01":0.6824794565,"4.0200000000000005":0.6663716164,"4.03":0.6521788209,"4.04":0.6397943229,"4.05":0.6290704101,"4.0600000000000005":0.6198304587,"4.07":0.611881306,"4.08":0.6050252945,"4.09":0.5990713795,"4.1":0.5938447629,"4.11":0.5891946142,"4.12":0.5849995602,"4.13":0.5811707587,"4.14":0.5776525195,"4.15":0.574420574,"4.16":0.5714782381,"4.17":0.5688508303,"4.18":0.5665788096,"4.19":0.564710173,"4.2":0.5632926914,"4.21":0.5623665766,"4.22":0.5619581414,"4.23":0.5620749617,"4.24":0.562702956,"4.25":0.5638056847,"4.26":0.5653260363,"4.2700000000000005":0.5671903193,"4.28":0.5693146247,"4.29":0.5716131754,"4.3":0.5740082387,"4.3100000000000005":0.5764410594,"4.32":0.5788831778,"4.33":0.5813474341,"4.34":0.5838979365,"4.3500000000000005":0.5866582814,"4.36":0.5898173676,"4.37":0.5936322321,"4.38":0.5984274605,"4.39":0.6045908746,"4.4":0.6125653728,"4.41":0.6228369864,"4.42":0.6359194064,"4.43":0.6523354232,"4.44":0.6725958953,"4.45":0.6971770154,"4.46":0.7264967618,"4.47":0.7608915112,"4.48":0.8005938272,"4.49":0.8457124387,"4.5":0.8962153755,"4.51":0.9519171312,"4.5200000000000005":1.0124705932,"4.53":1.0773643053,"4.54":1.1459254299,"4.55":1.217328554,"4.5600000000000005":1.2906102505,"4.57":1.3646890733,"4.58":1.4383904358,"4.59":1.5104756195,"4.6000000000000005":1.5796739761,"4.61":1.6447172483,"4.62":1.7043748281,"4.63":1.7574887238,"4.64":1.8030069962,"4.65":1.8400144762,"4.66":1.8677596635,"4.67":1.8856768485,"4.68":1.8934026732,"4.69":1.8907865516,"4.7":1.877894603,"4.71":1.8550069889,"4.72":1.8226087897,"4.73":1.7813747918,"4.74":1.7321487757,"4.75":1.6759180872,"4.76":1.6137844314,"4.7700000000000005":1.5469319526,"4.78":1.4765937337,"4.79":1.4040178836,"4.8":1.3304343628,"4.8100000000000005":1.2570236374,"4.82":1.184888152,"4.83":1.1150274764,"4.84":1.0483178156,"4.8500000000000005":0.9854963872,"4.86":0.9271509739,"4.87":0.8737147546,"4.88":0.8254663193,"4.89":0.7825345911,"4.9":0.7449082065,"4.91":0.7124487699,"4.92":0.6849072837,"4.93":0.6619429791,"4.94":0.6431437291,"4.95":0.6280472179,"4.96":0.616162064,"4.97":0.6069881491,"4.98":0.6000354887,"4.99":0.5948410761,"5.0":0.590983256,"5.01":0.5880933037,"5.0200000000000005":0.5858640193,"5.03":0.5840458569,"5.04":0.5824043435,"5.05":0.580953817,"5.0600000000000005":0.5796598857,"5.07":0.5785490938,"5.08":0.5777020567,"5.09":0.5771187756,"5.1000000000000005":0.5770465338,"5.11":0.5776758696,"5.12":0.5792121547,"5.13":0.5818663275,"5.14":0.5858450423,"5.15":0.5913415026,"5.16":0.5985271849,"5.17":0.6075446019,"5.18":0.6185012089,"5.19":0.6314645047,"5.2":0.6464583466,"5.21":0.6634604642,"5.22":0.6824011384,"5.23":0.703162993,"5.24":0.7255818454,"5.25":0.7494485541,"5.26":0.7745118081,"5.2700000000000005":0.8004818013,"5.28":0.8270347441,"5.29":0.853818158,"5.3":0.8804569036,"5.3100000000000005":0.9065598792,"5.32":0.9317273188,"5.33":0.9555585991,"5.34":0.9776604419,"5.3500000000000005":0.9976553757,"5.36":1.0151902908,"5.37":1.0299448953,"5.38":1.0416398561,"5.39":1.0500443886,"5.4":1.0549830471,"5.41":1.0563414636,"5.42":1.0540707921,"5.43":1.0481906344,"5.44":1.0387902573,"5.45":1.0260279532,"5.46":1.0101284567,"5.47":0.9913783919,"5.48":0.9701198008,"5.49":0.9467418792,"5.5":0.9216711268,"5.51":0.8953601888,"5.5200000000000005":0.8682757407,"5.53":0.8408858184,"5.54":0.813647043,"5.55":0.7869922131,"5.5600000000000005":0.7613187439,"5.57":0.7369784153,"5.58":0.7142688578,"5.59":0.6934271426,"5.6000000000000005":0.6746257697,"5.61":0.6579712521,"5.62":0.6435053875,"5.63":0.6312091952,"5.64":0.6210093777,"5.65":0.6127870492,"5.66":0.6063883651,"5.67":0.6016365906,"5.68":0.5983450701,"5.69":0.596330499,"5.7":0.5954258748,"5.71":0.5954924984,"5.72":0.5964304231,"5.73":0.5981868065,"5.74":0.6007616984,"5.75":0.6042109096,"5.76":0.6086457247,"5.7700000000000005":0.6142293705,"5.78":0.6211702932,"5.79":0.6297124526,"5.8":0.6401229854,"5.8100000000000005":0.652677721,"5.82":0.6676451529,"5.83":0.6852695533,"5.84":0.705753986,"5.8500000000000005":0.7292439967,"5.86":0.7558127583,"5.87":0.7854484065,"5.88":0.8180442247,"5.89":0.853392234,"5.9":0.8911806092,"5.91":0.9309951848,"5.92":0.9723251481,"5.93":1.0145728355,"5.94":1.057067371,"5.95":1.0990817164,"5.96":1.139852548,"5.97":1.1786022454,"5.98":1.2145621717,"5.99":1.2469963644,"6.0":1.2752247165,"6.01":1.2986447459,"6.0200000000000005":1.3167510914,"6.03":1.3291519642,"6.04":1.3355819018,"6.05":1.3359103178,"6.0600000000000005":1.3301455128,"6.07":1.3184339973,"6.08":1.3010551658,"6.09":1.2784115551,"6.1000000000000005":1.2510150948,"6.11":1.2194699211,"6.12":1.1844524585,"6.13":1.1466895786,"6.140000000000001":1.1069357112,"6.15":1.065949812,"6.16":1.0244730809,"6.17":0.9832082723,"6.18":0.9428013536,"6.19":0.9038261498,"6.2":0.8667724657,"6.21":0.8320380143,"6.22":0.7999243041,"6.23":0.7706364607,"6.24":0.7442867823,"6.25":0.7209016731,"6.26":0.7004314553,"6.2700000000000005":0.6827624531,"6.28":0.6677306567,"6.29":0.655136234,"6.3":0.6447581457,"6.3100000000000005":0.6363681488,"6.32":0.6297435343,"6.33":0.6246780373,"6.34":0.6209904757,"6.3500000000000005":0.6185308073,"6.36":0.6171834465,"6.37":0.6168678291,"6.38":0.6175363638,"6.390000000000001":0.6191700448,"6.4":0.6217721148,"6.41":0.6253602666,"6.42":0.6299579316,"6.43":0.6355852408,"6.44":0.6422502449,"6.45":0.6499409492,"6.46":0.6586186594,"6.47":0.668213048,"6.48":0.6786192448,"6.49":0.6896971312,"6.5":0.7012728909,"6.51":0.7131427364,"6.5200000000000005":0.7250786078,"6.53":0.73683553,"6.54":0.7481602205,"6.55":0.7588004751,"6.5600000000000005":0.7685148151,"6.57":0.7770818716,"6.58":0.7843090001,"6.59":0.790039667,"6.6000000000000005":0.7941592221,"6.61":0.7965987659,"6.62":0.7973369324,"6.63":0.7963995261,"6.640000000000001":0.7938570765,"6.65":0.7898204905,"6.66":0.7844350917,"6.67":0.7778734249,"6.68":0.7703272726,"6.69":0.7619993705,"6.7":0.753095324,"6.71":0.7438162082,"6.72":0.7343522896,"6.73":0.7248782347,"6.74":0.7155500772,"6.75":0.7065041014,"6.76":0.6978576806,"6.7700000000000005":0.6897119766,"6.78":0.6821562903,"6.79":0.675273733,"6.8":0.6691477994,"6.8100000000000005":0.6638693428,"6.82":0.6595434158,"6.83":0.6562954178,"6.84":0.6542760132,"6.8500000000000005":0.6536643328,"6.86":0.6546690483,"6.87":0.6575270209,"6.88":0.6624993475,"6.890000000000001":0.6698647744,"6.9":0.6799105955,"6.91":0.6929213047,"6.92":0.709165411,"6.93":0.7288809519,"6.94":0.7522603427,"6.95":0.7794352735,"6.96":0.8104624037,"6.97":0.84531061,"6.98":0.8838505081,"6.99":0.9258468974,"7.0":0.9709546738,"7.01":1.0187186204,"7.0200000000000005":1.0685773274,"7.03":1.1198713175,"7.04":1.1718552689,"7.05":1.223714046,"7.0600000000000005":1.2745820716,"7.07":1.3235654185,"7.08":1.3697658649,"7.09":1.412306059,"7.1000000000000005":1.4503548706,"7.11":1.4831519838,"7.12":1.5100308025,"7.13":1.5304387932,"7.140000000000001":1.5439544859,"7.15":1.5503004833,"7.16":1.5493519814,"7.17":1.5411404861,"7.18":1.5258525944,"7.19":1.5038239107,"7.2":1.4755283508,"7.21":1.4415632708,"7.22":1.4026310083,"7.23":1.3595175585,"7.24":1.3130692016,"7.25":1.2641679596,"7.26":1.2137067862,"7.2700000000000005":1.1625653743,"7.28":1.1115874169,"7.29":1.0615600705,"7.3":1.0131962565,"7.3100000000000005":0.9671202986,"7.32":0.9238572421,"7.33":0.8838260393,"7.34":0.8473366228,"7.3500000000000005":0.8145907305,"7.36":0.7856862067,"7.37":0.760624373,"7.38":0.7393199693,"7.390000000000001":0.7216130853,"7.4":0.7072824622,"7.41":0.6960595306,"7.42":0.6876425618,"7.43":0.681710357,"7.44":0.6779349581,"7.45":0.6759929536,"7.46":0.675575048,"7.47":0.6763936719,"7.48":0.678188519,"7.49":0.6807300047,"7.5":0.6838207394,"7.51":0.687295199,"7.5200000000000005":0.6910178463,"7.53":0.6948800113,"7.54":0.6987958732,"7.55":0.7026979022,"7.5600000000000005":0.7065321118,"7.57":0.7102534538,"7.58":0.7138216446,"7.59":0.7171976674,"7.6000000000000005":0.7203411282,"7.61":0.7232085864,"7.62":0.7257529072,"7.63":0.7279236249,"7.640000000000001":0.729668244,"7.65":0.7309343537,"7.66":0.7316723938,"7.67":0.7318388757,"7.68":0.7313998477,"7.69":0.7303343881,"7.7":0.7286379131,"7.71":0.7263251055,"7.72":0.7234322924,"7.73":0.7200191319,"7.74":0.7161695046,"7.75":0.7119915443,"7.76":0.7073755186,"7.7700000000000005":0.7023224721,"7.78":0.6976918105,"7.79":0.6936806985,"7.8":0.6904932343,"7.8100000000000005":0.6883357602,"7.82":0.686942798,"7.83":0.686278554,"7.84":0.686948979,"7.8500000000000005":0.6891369376,"7.86":0.6930057676,"7.87":0.6986941536,"7.88":0.7063113677,"7.890000000000001":0.7159329892,"7.9":0.7275972084,"7.91":0.7413018101,"7.92":0.7570019236,"7.930000000000001":0.7746086148,"7.94":0.7939883868,"7.95":0.8149636441,"7.96":0.8373141583,"7.97":0.8607795626,"7.98":0.8850628774,"7.99":0.9098350533,"8.0":0.9347404892,"8.01":0.9594034578,"8.02":0.9834353431,"8.03":1.0064425603,"8.040000000000001":1.0280350042,"8.05":1.0478348378,"8.06":1.0654854126,"8.07":1.0806600872,"8.08":1.0930706981,"8.09":1.1024754285,"8.1":1.1086858228,"8.11":1.1115727042,"8.120000000000001":1.1110707748,"8.13":1.107181707,"8.14":1.0999755759,"8.15":1.0895905275,"8.16":1.0762306367,"8.17":1.0601619623,"8.18":1.0417068728,"8.19":1.0212367735,"8.2":0.9991634277,"8.21":0.9759291126,"8.22":0.9519959004,"8.23":0.9278343842,"8.24":0.9039121951,"8.25":0.8806826647,"8.26":0.8585739811,"8.27":0.8379791719,"8.28":0.8192472143,"8.290000000000001":0.8026755302,"8.3":0.788504072,"8.31":0.776911144,"8.32":0.7680110412,"8.33":0.7618535172,"8.34":0.7584250322,"8.35":0.7576516655,"8.36":0.7594035262,"8.370000000000001":0.7635004481,"8.38":0.7697187196,"8.39":0.777798578,"8.4":0.7874521865,"8.41":0.7983718144,"8.42":0.8102379562,"8.43":0.8227271492,"8.44":0.8355192826,"8.45":0.848304234,"8.46":0.8607877082,"8.47":0.8726962045,"8.48":0.8837810793,"8.49":0.893821714,"8.5":0.9026278326,"8.51":0.9100410433,"8.52":0.9159356956,"8.53":0.9202191595,"8.540000000000001":0.9228316319,"8.55":0.9237455711,"8.56":0.9229648477,"8.57":0.9205236781,"8.58":0.9164853892,"8.59":0.9109410328,"8.6":0.904007849,"8.61":0.8958275531,"8.620000000000001":0.8865644067,"8.63":0.8764030188,"8.64":0.8655458226,"8.65":0.8542101743,"8.66":0.8426250331,"8.67":0.8310271994,"8.68":0.8196571129,"8.69":0.8087542418,"8.700000000000001":0.7985521248,"8.71":0.7892731631,"8.72":0.7811232864,"8.73":0.7742866494,"8.74":0.76892053,"8.75":0.765150621,"8.76":0.7630669047,"8.77":0.7627203008,"8.78":0.7641202561,"8.790000000000001":0.767233424,"8.8":0.7719835444,"8.81":0.778252592,"8.82":0.7858832149,"8.83":0.7946824322,"8.84":0.8044265075,"8.85":0.8148668658,"8.86":0.8257368732,"8.870000000000001":0.8367592614,"8.88":0.8476539476,"8.89":0.858145981,"8.9":0.8679733392,"8.91":0.8768943023,"8.92":0.8846941469,"8.93":0.8911909325,"8.94":0.8962401878,"8.950000000000001":0.8997383519,"8.96":0.9016248739,"8.97":0.9018829327,"8.98":0.9005387906,"8.99":0.8976598486,"9.0":0.8933515197,"9.01":0.8877530772,"9.02":0.8810326683,"9.03":0.8733817043,"9.040000000000001":0.8650088537,"9.05":0.8561338612,"9.06":0.8469814102,"9.07":0.8377752251,"9.08":0.8287325833,"9.09":0.8200593759,"9.1":0.811945817,"9.11":0.8045628673,"9.120000000000001":0.7980593958,"9.13":0.7925600751,"9.14":0.7881639704,"9.15":0.784943765,"9.16":0.7829455443,"9.17":0.7821890546,"9.18":0.7826683534,"9.19":0.7843527711,"9.200000000000001":0.7871881186,"9.21":0.7910980929,"9.22":0.7959858494,"9.23":0.8017357333,"9.24":0.8082151784,"9.25":0.8152767999,"9.26":0.8227607185,"9.27":0.8304971573,"9.28":0.8383093521,"9.290000000000001":0.8460168073,"9.3":0.853438912,"9.31":0.8603989097,"9.32":0.8667281873,"9.33":0.8722708174,"9.34":0.8768882566,"9.35":0.8804640705,"9.36":0.8829085277,"9.370000000000001":0.8841628819,"9.38":0.8842031478,"9.39":0.8830431679,"9.4":0.8807367737,"9.41":0.8773788596,"9.42":0.8731052164,"9.43":0.8680910066,"9.44":0.8625478126,"9.450000000000001":0.8567192452,"9.46":0.8508751561,"9.47":0.845304565,"9.48":0.8403074707,"9.49":0.8361857765,"9.5":0.8332336104,"9.51":0.8317273629,"9.52":0.8319157941,"9.53":0.8340105805,"9.540000000000001":0.8381776668,"9.55":0.8445297773,"9.56":0.8531204068,"9.57":0.8639395634,"9.58":0.8769114802,"9.59":0.8918944355,"9.6":0.908682749,"9.61":0.9270109338,"9.620000000000001":0.9465599032,"9.63":0.9669650481,"9.64":0.987825928,"9.65":1.0087172523,"9.66":1.0292007791,"9.67":1.0488377189,"9.68":1.0672012132,"9.69":1.083888454,"9.700000000000001":1.0985320245,"9.71":1.1108100772,"9.72":1.1204550061,"9.73":1.1272603369,"9.74":1.1310856258,"9.75":1.1318592357,"9.76":1.1295789423,"9.77":1.1243104013,"9.78":1.116183588,"9.790000000000001":1.105387393,"9.8":1.0921626169,"9.81":1.0767936603,"9.82":1.0595992403,"9.83":1.0409224879,"9.84":1.0211207862,"9.85":1.0005557037,"9.86":0.979583354,"9.870000000000001":0.9585454813,"9.88":0.937761526,"9.89":0.9175218752,"9.9":0.8980824464,"9.91":0.8796606927,"9.92":0.8624330627,"9.93":0.846533891,"9.94":0.8320556453,"9.950000000000001":0.8190504138,"9.96":0.8075324814,"9.97":0.7974818164,"9.98":0.7888482737,"9.99":0.7815563135,"10.0":0.7755100358,"10.01":0.7705983394,"10.02":0.766700032,"10.03":0.763688737,"10.040000000000001":0.761437468,"10.05":0.7598227672,"10.06":0.7587283323,"10.07":0.7580480801,"10.08":0.7576886203,"10.09":0.7575711313,"10.1":0.7576326508,"10.11":0.7578268028,"10.120000000000001":0.7581239955,"10.13":0.7585111303,"10.14":0.7589908648,"10.15":0.759580474,"10.16":0.7603103557,"10.17":0.7612222215,"10.18":0.7623670185,"10.19":0.7638026213,"10.200000000000001":0.7655913402,"10.21":0.7677972884,"10.22":0.7704836575,"10.23":0.7737099547,"10.24":0.7775292587,"10.25":0.7819855588,"10.26":0.7871112456,"10.27":0.7929248272,"10.28":0.7994289439,"10.290000000000001":0.8066087594,"10.3":0.814430797,"10.31":0.8228422878,"10.32":0.8317710846,"10.33":0.8411261812,"10.34":0.8507988608,"10.35":0.8606644752,"10.36":0.8705848347,"10.370000000000001":0.8804111655,"10.38":0.8899875656,"10.39":0.8991548694,"10.4":0.9077548098,"10.41":0.9156343482,"10.42":0.9226500314,"10.43":0.9286722258,"10.44":0.9335890775,"10.450000000000001":0.9373100509,"10.46":0.9397689099,"10.47":0.9409260213,"10.48":0.9407698833,"10.49":0.9393178076,"10.5":0.9366157147,"10.51":0.9327370361,"10.52":0.9277807464,"10.53":0.9218685886,"10.540000000000001":0.9151415792,"10.55":0.9077559147,"10.56":0.8998784186,"10.57":0.8916816898,"10.58":0.8833391228,"10.59":0.8750199744,"10.6":0.8668846496,"10.61":0.8590803696,"10.620000000000001":0.8517373695,"10.63":0.8449657509,"10.64":0.8388530884,"10.65":0.8334628603,"10.66":0.8288337403,"10.67":0.8249797549,"10.68":0.8218912783,"10.69":0.8195368066,"10.700000000000001":0.8178654252,"10.71":0.8168098595,"10.72":0.8162899807,"10.73":0.8162166247,"10.74":0.8164955767,"10.75":0.8170315688,"10.76":0.817732146,"10.77":0.8185112636,"10.78":0.8192924928,"10.790000000000001":0.8200117307,"10.8":0.8206193317,"10.81":0.8210816006,"10.82":0.821381613,"10.83":0.8215193527,"10.84":0.8215111808,"10.85":0.8213886741,"10.86":0.82119689,"10.870000000000001":0.820992134,"10.88":0.8208393211,"10.89":0.820809031,"10.9":0.8209743672,"10.91":0.8214077328,"10.92":0.822177636,"10.93":0.8233456337,"10.94":0.8249635184,"10.950000000000001":0.8270708402,"10.96":0.8296928469,"10.97":0.8328389089,"10.98":0.8365014832,"10.99":0.8406556495,"11.0":0.8452592367,"11.01":0.8502535405,"11.02":0.855564612,"11.03":0.861105081,"11.040000000000001":0.8667764629,"11.05":0.8724718791,"11.06":0.8780791102,"11.07":0.8834838877,"11.08":0.8885733226,"11.09":0.8932393623,"11.1":0.8973821628,"11.11":0.9009132668,"11.120000000000001":0.9037584777,"11.13":0.905860331,"11.14":0.9071800726,"11.15":0.9076990681,"11.16":0.9074195858,"11.17":0.9063649147,"11.18":0.9045787994,"11.19":0.9021242012,"11.200000000000001":0.8990814135,"11.21":0.8955455864,"11.22":0.8916237374,"11.23":0.8874313449,"11.24":0.8830886386,"11.25":0.8787167162,"11.26":0.8744336227,"11.27":0.8703505352,"11.28":0.8665681937,"11.290000000000001":0.8631737121,"11.3":0.8602378926,"11.31":0.8578131472,"11.32":0.8559321101,"11.33":0.8546069994,"11.34":0.8538297546,"11.35":0.8535729513,"11.36":0.853791457,"11.370000000000001":0.8544247683,"11.38":0.8553999357,"11.39":0.8566349613,"11.4":0.8580425321,"11.41":0.8595339368,"11.42":0.8610230065,"11.43":0.8624299139,"11.44":0.863684675,"11.450000000000001":0.8647302042,"11.46":0.8655247943,"11.47":0.8660439147,"11.48":0.8662812506,"11.49":0.8662489363,"11.5":0.8659769708,"11.51":0.8655118385,"11.52":0.8649143907,"11.53":0.8642570771,"11.540000000000001":0.8636206422,"11.55":0.8630904279,"11.56":0.8627524362,"11.57":0.8626893223,"11.58":0.8629764856,"11.59":0.8636784273,"11.6":0.8648455287,"11.61":0.8665113876,"11.620000000000001":0.8686908279,"11.63":0.8713786662,"11.64":0.8745492897,"11.65":0.8781570639,"11.66":0.8821375549,"11.67":0.8864095157,"11.68":0.8908775564,"11.69":0.8954353874,"11.700000000000001":0.8999695047,"11.71":0.9043631665,"11.72":0.9085005017,"11.73":0.9122705855,"11.74":0.9155713209,"11.75":0.9183129755,"11.76":0.9204212367,"11.77":0.9218396736,"11.78":0.9225315158,"11.790000000000001":0.9224806908,"11.8":0.9216920917,"11.81":0.9201910796,"11.82":0.9180222542,"11.83":0.9152475556,"11.84":0.9119437865,"11.85":0.9081996644,"11.86":0.9041125285,"11.870000000000001":0.89978484,"11.88":0.8953206143,"11.89":0.8908219269,"11.9":0.8863856254,"11.91":0.8821003669,"11.92":0.8780440867,"11.93":0.8742819789,"11.94":0.8708650509,"11.950000000000001":0.8678292839,"11.96":0.8651954099,"11.97":0.8629692875,"11.98":0.8611428369,"11.99":0.8596954709,"12.0":0.8585959436,"12.01":0.8578045226,"12.02":0.8572753793,"12.030000000000001":0.8569590905,"12.040000000000001":0.8568051406,"12.05":0.8567643188,"12.06":0.8567909155,"12.07":0.8568446314,"12.08":0.8568921304,"12.09":0.8569081842,"12.1":0.856876374,"12.11":0.8567893389,"12.120000000000001":0.8566485744,"12.13":0.8564638098,"12.14":0.8562520053,"12.15":0.856036027,"12.16":0.8558430712,"12.17":0.8557029149,"12.18":0.8556460785,"12.19":0.8557019845,"12.200000000000001":0.8558971976,"12.21":0.8562538236,"12.22":0.8567881367,"12.23":0.8575094934,"12.24":0.8584195777,"12.25":0.859512007,"12.26":0.8607723121,"12.27":0.8621782877,"12.280000000000001":0.8637006958,"12.290000000000001":0.8653042857,"12.3":0.8669490865,"12.31":0.8685919114,"12.32":0.8701880086,"12.33":0.871692787,"12.34":0.873063541,"12.35":0.874261102,"12.36":0.8752513469,"12.370000000000001":0.8760064999,"12.38":0.8765061751,"12.39":0.8767381171,"12.4":0.8766986127,"12.41":0.8763925573,"12.42":0.8758331791,"12.43":0.8750414341,"12.44":0.8740451036,"12.450000000000001":0.8728776333,"12.46":0.8715767691,"12.47":0.870183048,"12.48":0.8687382112,"12.49":0.867283608,"12.5":0.8658586587,"12.51":0.8644994404,"12.52":0.8632374556,"12.530000000000001":0.862098631,"12.540000000000001":0.8611025878,"12.55":0.8602622061,"12.56":0.8595834982,"12.57":0.8590657878,"12.58":0.8587021792,"12.59":0.858480288,"12.6":0.8583831929,"12.61":0.8583905585,"12.620000000000001":0.858479872,"12.63":0.8586277323,"12.64":0.8588111289,"12.65":0.859008648,"12.66":0.8592015506,"12.67":0.8593746706,"12.68":0.8595170945,"12.69":0.8596225912,"12.700000000000001":0.8596897777,"12.71":0.8597220158,"12.72":0.85972705,"12.73":0.8597164101,"12.74":0.8597046112,"12.75":0.8597081969,"12.76":0.8597446748,"12.77":0.8598314021,"12.780000000000001":0.8599844784,"12.790000000000001":0.860217703,"12.8":0.86054165,"12.81":0.8609629086,"12.82":0.8614835262,"12.83":0.8621006822,"12.84":0.8628066089,"12.85":0.8635887622,"12.86":0.8644302332,"12.870000000000001":0.8653103794,"12.88":0.8662056436,"12.89":0.8670905196,"12.9":0.8679386164,"12.91":0.8687237683,"12.92":0.869421138,"12.93":0.8700082576,"12.94":0.8704659606,"12.950000000000001":0.8707791594,"12.96":0.8709374349,"12.97":0.8709354129,"12.98":0.870772913,"12.99":0.8704548671,"13.0":0.8699910183,"13.01":0.8693954182,"13.02":0.8686857526,"13.030000000000001":0.867882534,"13.040000000000001":0.8670082023,"13.05":0.8660861812,"13.06":0.8651399387,"13.07":0.8641920953,"13.08":0.863263624,"13.09":0.8623731777,"13.1":0.8615365709,"13.11":0.8607664363,"13.120000000000001":0.8600720646,"13.13":0.8594594262,"13.14":0.8589313648,"13.15":0.8584879421,"13.16":0.858126907,"13.17":0.8578442543,"13.18":0.857634837,"13.19":0.8574929919,"13.200000000000001":0.8574131396,"13.21":0.8573903229,"13.22":0.8574206524,"13.23":0.8575016322,"13.24":0.8576323509,"13.25":0.8578135254,"13.26":0.8580473994,"13.27":0.8583375045,"13.280000000000001":0.8586882999,"13.290000000000001":0.8591047148,"13.3":0.8595916225,"13.31":0.86015328,"13.32":0.8607927677,"13.33":0.8615114645,"13.34":0.8623085918,"13.35":0.863180855,"13.36":0.8641222071,"13.370000000000001":0.8651237514,"13.38":0.8661737912,"13.39":0.8672580303,"13.4":0.8683599147,"13.41":0.8694611027,"13.42":0.8705420408,"13.43":0.8715826191,"13.44":0.8725628734,"13.450000000000001":0.8734637021,"13.46":0.8742675618,"13.47":0.8749591091,"13.48":0.8755257584,"13.49":0.87595813,"13.5":0.8762503672,"13.51":0.8764003112,"13.52":0.8764095256,"13.530000000000001":0.8762831732,"13.540000000000001":0.8760297532,"13.55":0.8756607144,"13.56":0.8751899645,"13.57":0.8746333021,"13.58":0.8740077983,"13.59":0.8733311595,"13.6":0.8726210996,"13.61":0.8718947503,"13.620000000000001":0.8711681353,"13.63":0.8704557282,"13.64":0.8697701099,"13.65":0.869121736,"13.66":0.8685188178,"13.67":0.867967314,"13.68":0.8674710261,"13.69":0.8670317838,"13.700000000000001":0.8666497043,"13.71":0.8663235049,"13.72":0.8660508472,"13.73":0.8658286915,"13.74":0.8656536392,"13.75":0.8655222448,"13.76":0.8654312797,"13.77":0.8653779365,"13.780000000000001":0.8653599651,"13.790000000000001":0.8653757361,"13.8":0.8654242339,"13.81":0.8655049829,"13.82":0.8656179176,"13.83":0.865763208,"13.84":0.8659410553,"13.85":0.866151474,"13.86":0.866394076,"13.870000000000001":0.866667874,"13.88":0.8669711166,"13.89":0.8673011687,"13.9":0.8676544447,"13.91":0.8680264002,"13.92":0.8684115851,"13.93":0.8688037547,"13.94":0.8691960336,"13.950000000000001":0.8695811252,"13.96":0.8699515547,"13.97":0.8702999319,"13.98":0.8706192225,"13.99":0.8709030108,"14.0":0.8711457421,"14.01":0.8713429317,"14.02":0.8714913303,"14.030000000000001":0.8715890371,"14.040000000000001":0.8716355573,"14.05":0.8716317994,"14.06":0.8715800159,"14.07":0.8714836888,"14.08":0.8713473686,"14.09":0.8711764743,"14.1":0.8709770646,"14.11":0.8707555924,"14.120000000000001":0.8705186549,"14.13":0.8702727488,"14.14":0.8700240444,"14.15":0.8697781851,"14.16":0.8695401228,"14.17":0.8693139925,"14.18":0.8691030306,"14.19":0.8689095385,"14.200000000000001":0.8687348885,"14.21":0.8685795704,"14.22":0.8684432728,"14.23":0.8683249935,"14.24":0.8682231695,"14.25":0.8681358219,"14.26":0.8680607038,"14.27":0.8679954471,"14.280000000000001":0.8679376981,"14.290000000000001":0.8678852382,"14.3":0.867836084,"14.31":0.8677885637,"14.32":0.867741368,"14.33":0.8676935763,"14.34":0.8676446577,"14.35":0.8675944506,"14.36":0.8675431239,"14.370000000000001":0.8674911229,"14.38":0.8674391061,"14.39":0.8673878758,"14.4":0.8673383087,"14.41":0.8672912884,"14.42":0.8672476457,"14.43":0.8672081079,"14.44":0.8671732592,"14.450000000000001":0.8671435142,"14.46":0.8671191039,"14.47":0.8671000738,"14.48":0.8670862938,"14.49":0.8670774762,"14.5":0.8670732028,"14.51":0.8670729551,"14.52":0.8670761485,"14.530000000000001":0.8670821664,"14.540000000000001":0.8670903925,"14.55":0.8671002397,"14.56":0.8671111749,"14.57":0.8671227371,"14.58":0.8671345506,"14.59":0.8671463312,"14.6":0.8671578871,"14.61":0.8671691149,"14.620000000000001":0.8671799904,"14.63":0.8671905575,"14.64":0.8672009135,"14.65":0.8672111948,"14.66":0.8672215609,"14.67":0.8672321807,"14.68":0.8672432188,"14.69":0.8672548246,"14.700000000000001":0.8672671233,"14.71":0.8672802091,"14.72":0.8672941412,"14.73":0.867308941,"14.74":0.8673245923,"14.75":0.8673410423,"14.76":0.8673582043,"14.77":0.867375961,"14.780000000000001":0.8673941694,"14.790000000000001":0.8674126648,"14.8":0.8674312667,"14.81":0.8674497835,"14.82":0.8674680186,"14.83":0.8674857754,"14.84":0.867502863,"14.85":0.867519102,"14.86":0.8675343294,"14.870000000000001":0.8675484041,"14.88":0.8675612114,"14.89":0.8675726672,"14.9":0.8675827214,"14.91":0.8675913601,"14.92":0.8675986068,"14.93":0.8676045217,"14.94":0.8676092001,"14.950000000000001":0.8676127684,"14.96":0.8676153787,"14.97":0.8676172022,"14.98":0.8676184207,"14.99":0.8676192172,"15.0":0.8676197662,"15.01":0.8676200016,"15.02":0.8676197357,"15.030000000000001":0.8676189576,"15.040000000000001":0.8676176697,"15.05":0.8676158872,"15.06":0.8676136382,"15.07":0.8676109627,"15.08":0.8676079114,"15.09":0.867604544,"15.1":0.8676009276,"15.11":0.8675971337,"15.120000000000001":0.8675932369,"15.13":0.8675893115,"15.14":0.8675854297,"15.15":0.867581659,"15.16":0.8675780603,"15.17":0.8675746862,"15.18":0.8675715794,"15.19":0.8675687716,"15.200000000000001":0.8675662833,"15.21":0.8675641232,"15.22":0.8675622888,"15.23":0.8675607672,"15.24":0.8675595358,"15.25":0.8675585639,"15.26":0.8675578144,"15.27":0.8675572454,"15.280000000000001":0.8675568122,"15.290000000000001":0.8675564688,"15.3":0.8675561702,"15.31":0.8675558732,"15.32":0.8675555386,"15.33":0.8675551315,"15.34":0.8675546227,"15.35":0.8675539886,"15.36":0.8675532119,"15.370000000000001":0.8675522811,"15.38":0.86755119,"15.39":0.8675499376,"15.4":0.8675485266,"15.41":0.8675469632,"15.42":0.8675452554,"15.43":0.8675434129,"15.44":0.8675414454,"15.450000000000001":0.8675393625,"15.46":0.8675371726,"15.47":0.8675348829,"15.48":0.8675324987,"15.49":0.8675300237,"15.5":0.8675274598,"15.51":0.8675248077,"15.52":0.8675220668,"15.530000000000001":0.8675192363,"15.540000000000001":0.8675163152,"15.55":0.867513303,"15.56":0.8675102,"15.57":0.8675070079,"15.58":0.8675037302,"15.59":0.8675003719,"15.6":0.8674969397,"15.610000000000001":0.8674934424,"15.620000000000001":0.8674898897,"15.63":0.8674862927,"15.64":0.8674826633,"15.65":0.8674790135,"15.66":0.867475355,"15.67":0.8674716992,"15.68":0.8674680564,"15.69":0.8674644359,"15.700000000000001":0.8674608457,"15.71":0.8674572926,"15.72":0.8674537828,"15.73":0.8674503214,"15.74":0.8674469138,"15.75":0.8674435657,"15.76":0.867440284,"15.77":0.8674370776,"15.780000000000001":0.8674339574,"15.790000000000001":0.8674309379,"15.8":0.8674280366,"15.81":0.8674252753,"15.82":0.8674226792,"15.83":0.8674202776,"15.84":0.8674181032,"15.85":0.8674161914,"15.860000000000001":0.8674145797,"15.870000000000001":0.8674133066,"15.88":0.8674124105,"15.89":0.8674119284,"15.9":0.8674118944,"15.91":0.8674123389,"15.92":0.8674132867,"15.93":0.8674147566,"15.94":0.8674167598,"15.950000000000001":0.8674192999,"15.96":0.867422372,"15.97":0.8674259631,"15.98":0.8674300516,"15.99":0.8674346085,"16.0":0.8674395979,"16.01":0.867444978,"16.02":0.8674507021,"16.03":0.8674567204,"16.04":0.8674629808,"16.05":0.8674694307,"16.06":0.8674760179,"16.07":0.867482692,"16.080000000000002":0.8674894052,"16.09":0.8674961131,"16.1":0.8675027748,"16.11":0.8675093534,"16.12":0.8675158158,"16.13":0.8675221321,"16.14":0.8675282751,"16.15":0.8675342196,"16.16":0.8675399412,"16.17":0.867545416,"16.18":0.867550619,"16.19":0.8675555238,"16.2":0.8675601018,"16.21":0.8675643217,"16.22":0.8675681497,"16.23":0.8675715497,"16.240000000000002":0.8675744835,"16.25":0.867576912,"16.26":0.8675787963,"16.27":0.8675800991,"16.28":0.8675807864,"16.29":0.867580829,"16.3":0.8675802047,"16.31":0.8675788998,"16.32":0.8675769107,"16.330000000000002":0.8675742455,"16.34":0.8675709249,"16.35":0.8675669832,"16.36":0.8675624683,"16.37":0.8675574417,"16.38":0.8675519777,"16.39":0.8675461626,"16.4":0.8675400928,"16.41":0.8675338728,"16.42":0.8675276134,"16.43":0.8675214281,"16.44":0.8675154314,"16.45":0.8675097351,"16.46":0.8675044462,"16.47":0.8674996635,"16.48":0.8674954757,"16.490000000000002":0.8674919589,"16.5":0.8674891748,"16.51":0.8674871699,"16.52":0.8674859738,"16.53":0.8674855996,"16.54":0.8674860435,"16.55":0.8674872856,"16.56":0.8674892913,"16.57":0.8674920118,"16.580000000000002":0.8674953866,"16.59":0.8674993454,"16.6":0.8675038098,"16.61":0.8675086954,"16.62":0.8675139147,"16.63":0.8675193782,"16.64":0.8675249969,"16.65":0.867530684,"16.66":0.867536356,"16.67":0.8675419341,"16.68":0.867547345,"16.69":0.8675525216,"16.7":0.8675574033,"16.71":0.8675619363,"16.72":0.8675660732,"16.73":0.867569773,"16.740000000000002":0.8675730007,"16.75":0.8675757271,"16.76":0.8675779282,"16.77":0.8675795851,"16.78":0.8675806832,"16.79":0.8675812127,"16.8":0.8675811682,"16.81":0.8675805486,"16.82":0.8675793575,"16.830000000000002":0.8675776032,"16.84":0.8675752991,"16.85":0.8675724643,"16.86":0.8675691232,"16.87":0.8675653068,"16.88":0.8675610519,"16.89":0.8675564022,"16.9":0.8675514072,"16.91":0.8675461231,"16.92":0.8675406114,"16.93":0.867534939,"16.94":0.8675291771,"16.95":0.8675234,"16.96":0.8675176843,"16.97":0.8675121076,"16.98":0.8675067464,"16.990000000000002":0.8675016754,"17.0":0.8674969655,"17.01":0.8674926823,"17.02":0.8674888847,"17.03":0.8674856236,"17.04":0.8674829407,"17.05":0.8674808677,"17.06":0.8674794251,"17.07":0.8674786222,"17.080000000000002":0.8674784571,"17.09":0.8674789159,"17.1":0.8674799744,"17.11":0.8674815978,"17.12":0.867483742,"17.13":0.8674863551,"17.14":0.8674893781,"17.150000000000002":0.8674927474,"17.16":0.8674963957,"17.17":0.8675002538,"17.18":0.867504253,"17.19":0.8675083258,"17.2":0.8675124083,"17.21":0.8675164412,"17.22":0.8675203712,"17.23":0.8675241518,"17.240000000000002":0.8675277444,"17.25":0.8675311184,"17.26":0.8675342516,"17.27":0.86753713,"17.28":0.8675397473,"17.29":0.8675421044,"17.3":0.8675442082,"17.31":0.867546071,"17.32":0.8675477084,"17.330000000000002":0.8675491388,"17.34":0.8675503811,"17.35":0.8675514541,"17.36":0.8675523743,"17.37":0.8675531555,"17.38":0.8675538069,"17.39":0.8675543329,"17.400000000000002":0.8675547322,"17.41":0.8675549976,"17.42":0.8675551162,"17.43":0.8675550694,"17.44":0.8675548339,"17.45":0.8675543827,"17.46":0.8675536858,"17.47":0.8675527123,"17.48":0.8675514318,"17.490000000000002":0.8675498158,"17.5":0.8675478397,"17.51":0.8675454844,"17.52":0.8675427379,"17.53":0.8675395963,"17.54":0.8675360654,"17.55":0.8675321612,"17.56":0.86752791,"17.57":0.867523349,"17.580000000000002":0.8675185255,"17.59":0.867513496,"17.6":0.8675083255,"17.61":0.8675030856,"17.62":0.8674978525,"17.63":0.8674927056,"17.64":0.8674877247,"17.650000000000002":0.8674829877,"17.66":0.867478569,"17.67":0.8674745367,"17.68":0.8674709509,"17.69":0.867467862,"17.7":0.8674653095,"17.71":0.8674633209,"17.72":0.8674619114,"17.73":0.8674610835,"17.740000000000002":0.8674608278,"17.75":0.8674611236,"17.76":0.8674619401,"17.77":0.8674632381,"17.78":0.8674649717,"17.79":0.8674670905,"17.8":0.8674695413,"17.81":0.8674722708,"17.82":0.8674752269,"17.830000000000002":0.8674783612,"17.84":0.8674816302,"17.85":0.8674849969,"17.86":0.8674884312,"17.87":0.8674919113,"17.88":0.8674954227,"17.89":0.8674989588,"17.900000000000002":0.8675025201,"17.91":0.8675061128,"17.92":0.8675097478,"17.93":0.8675134394,"17.94":0.8675172031,"17.95":0.8675210547,"17.96":0.867525008,"17.97":0.8675290737,"17.98":0.8675332578,"17.990000000000002":0.8675375605,"18.0":0.8675419755,"18.01":0.8675464898,"18.02":0.8675510827,"18.03":0.8675557269,"18.04":0.8675603886,"18.05":0.8675650283,"18.06":0.867569602,"18.07":0.8675740622,"18.080000000000002":0.8675783598,"18.09":0.8675824449,"18.1":0.8675862689,"18.11":0.8675897851,"18.12":0.8675929509,"18.13":0.8675957282,"18.14":0.8675980844,"18.150000000000002":0.8675999933,"18.16":0.8676014353,"18.17":0.8676023977,"18.18":0.8676028744,"18.19":0.8676028659,"18.2":0.8676023787,"18.21":0.8676014249,"18.22":0.8676000213,"18.23":0.8675981889,"18.240000000000002":0.8675959523,"18.25":0.8675933388,"18.26":0.867590378,"18.27":0.8675871013,"18.28":0.8675835416,"18.29":0.8675797331,"18.3":0.8675757108,"18.31":0.8675715109,"18.32":0.8675671708,"18.330000000000002":0.8675627288,"18.34":0.8675582244,"18.35":0.8675536982,"18.36":0.8675491919,"18.37":0.8675447483,"18.38":0.8675404105,"18.39":0.867536222,"18.400000000000002":0.8675322258,"18.41":0.8675284638,"18.42":0.8675249758,"18.43":0.8675217985,"18.44":0.8675189645,"18.45":0.8675165016,"18.46":0.867514431,"18.47":0.8675127671,"18.48":0.8675115161,"18.490000000000002":0.8675106756,"18.5":0.8675102345,"18.51":0.8675101721,"18.52":0.8675104592,"18.53":0.8675110577,"18.54":0.8675119219,"18.55":0.8675129997,"18.56":0.8675142333,"18.57":0.8675155616,"18.580000000000002":0.8675169214,"18.59":0.8675182497,"18.6":0.867519485,"18.61":0.8675205703,"18.62":0.8675214537,"18.63":0.8675220911,"18.64":0.8675224469,"18.650000000000002":0.8675224958,"18.66":0.8675222228,"18.67":0.8675216245,"18.68":0.8675207086,"18.69":0.8675194938,"18.7":0.8675180089,"18.71":0.8675162921,"18.72":0.8675143893,"18.73":0.8675123527,"18.740000000000002":0.8675102386,"18.75":0.8675081061,"18.76":0.8675060144,"18.77":0.8675040214,"18.78":0.8675021811,"18.79":0.8675005427,"18.8":0.8674991483,"18.81":0.8674980318,"18.82":0.8674972182,"18.830000000000002":0.8674967225,"18.84":0.8674965495,"18.85":0.867496694,"18.86":0.8674971407,"18.87":0.8674978653,"18.88":0.8674988351,"18.89":0.86750001,"18.900000000000002":0.8675013443,"18.91":0.8675027879,"18.92":0.8675042878,"18.93":0.86750579,"18.94":0.8675072408,"18.95":0.8675085886,"18.96":0.8675097853,"18.97":0.8675107876,"18.98":0.8675115581,"18.990000000000002":0.8675120664,"19.0":0.8675122898,"19.01":0.8675122135,"19.02":0.8675118316,"19.03":0.8675111465,"19.04":0.8675101688,"19.05":0.8675089174,"19.06":0.8675074182,"19.07":0.8675057042,"19.080000000000002":0.8675038137,"19.09":0.8675017897,"19.1":0.8674996788,"19.11":0.8674975299,"19.12":0.8674953928,"19.13":0.8674933171,"19.14":0.8674913508,"19.150000000000002":0.8674895394,"19.16":0.8674879242,"19.17":0.8674865421,"19.18":0.8674854239,"19.19":0.8674845943,"19.2":0.8674840707,"19.21":0.8674838636,"19.22":0.8674839756,"19.23":0.8674844022,"19.240000000000002":0.8674851316,"19.25":0.8674861453,"19.26":0.8674874187,"19.27":0.867488922,"19.28":0.8674906209,"19.29":0.8674924779,"19.3":0.8674944531,"19.31":0.8674965057,"19.32":0.867498595,"19.330000000000002":0.8675006814,"19.34":0.8675027279,"19.35":0.8675047005,"19.36":0.8675065695,"19.37":0.8675083102,"19.38":0.8675099031,"19.39":0.8675113345,"19.400000000000002":0.8675125967,"19.41":0.8675136879,"19.42":0.8675146121,"19.43":0.8675153785,"19.44":0.8675160016,"19.45":0.8675164996,"19.46":0.867516895,"19.47":0.8675172125,"19.48":0.8675174791,"19.490000000000002":0.8675177232,"19.5":0.8675179735,"19.51":0.8675182583,"19.52":0.8675186052,"19.53":0.8675190402,"19.54":0.8675195872,"19.55":0.867520268,"19.56":0.8675211014,"19.57":0.8675221033,"19.580000000000002":0.8675232868,"19.59":0.8675246617,"19.6":0.8675262347,"19.61":0.8675280095,"19.62":0.8675299869,"19.63":0.8675321644,"19.64":0.867534537,"19.650000000000002":0.8675370968,"19.66":0.8675398332,"19.67":0.8675427331,"19.68":0.8675457806,"19.69":0.8675489577,"19.7":0.8675522435,"19.71":0.8675556153,"19.72":0.8675590479,"19.73":0.8675625142,"19.740000000000002":0.8675659855,"19.75":0.8675694315,"19.76":0.8675728208,"19.77":0.8675761213,"19.78":0.8675793009,"19.79":0.8675823276,"19.8":0.8675851703,"19.81":0.8675877995,"19.82":0.8675901877,"19.830000000000002":0.86759231,"19.84":0.8675941448,"19.85":0.8675956738,"19.86":0.8675968828,"19.87":0.8675977621,"19.88":0.8675983059,"19.89":0.867598513,"19.900000000000002":0.8675983865,"19.91":0.8675979334,"19.92":0.8675971645,"19.93":0.8675960934,"19.94":0.8675947366,"19.95":0.8675931125,"19.96":0.8675912407,"19.97":0.8675891415,"19.98":0.8675868351,"19.990000000000002":0.867584341},"1":{"1.5":0.2871023439,"1.51":0.2859166247,"1.52":0.2848472753,"1.53":0.2839420511,"1.54":0.2832489508,"1.55":0.2828148407,"1.56":0.2826843214,"1.57":0.2828989138,"1.58":0.2834966123,"1.59":0.2845118303,"1.6":0.2859757301,"1.61":0.2879169022,"1.62":0.2903623277,"1.6300000000000001":0.2933385367,"1.6400000000000001":0.2968728523,"1.6500000000000001":0.3009946001,"1.6600000000000001":0.3057361574,"1.67":0.311133718,"1.68":0.3172276634,"1.69":0.3240624471,"1.7":0.3316859291,"1.71":0.3401481253,"1.72":0.3494993769,"1.73":0.3597879781,"1.74":0.3710573405,"1.75":0.3833428053,"1.76":0.3966682437,"1.77":0.41104261,"1.78":0.4264566241,"1.79":0.4428797679,"1.8":0.4602577737,"1.81":0.4785107671,"1.82":0.4975322073,"1.83":0.5171887291,"1.84":0.5373209584,"1.85":0.5577453245,"1.86":0.5782568498,"1.87":0.5986328489,"1.8800000000000001":0.6186374275,"1.8900000000000001":0.6380266318,"1.9000000000000001":0.6565540657,"1.9100000000000001":0.6739767721,"1.92":0.6900611579,"1.93":0.7045887421,"1.94":0.7173615104,"1.95":0.7282066805,"1.96":0.7369807065,"1.97":0.7435723881,"1.98":0.7479049877,"1.99":0.7499373059,"2.0":0.7496637089,"2.0100000000000002":0.747113148,"2.02":0.7423472507,"2.0300000000000002":0.7354575999,"2.04":0.7265623461,"2.05":0.7158023175,"2.06":0.7033368046,"2.07":0.6893391963,"2.08":0.6739926383,"2.09":0.6574858697,"2.1":0.6400093667,"2.11":0.6217519006,"2.12":0.6028975791,"2.13":0.5836234131,"2.14":0.5640974129,"2.15":0.5444771931,"2.16":0.5249090362,"2.17":0.505527348,"2.18":0.4864544224,"2.19":0.4678004283,"2.2":0.4496635332,"2.21":0.4321300838,"2.22":0.4152747798,"2.23":0.3991607924,"2.24":0.3838398037,"2.25":0.3693519601,"2.2600000000000002":0.3557257602,"2.27":0.3429779119,"2.2800000000000002":0.3311132108,"2.29":0.3201245034,"2.3000000000000003":0.3099928003,"2.31":0.3006876046,"2.32":0.2921675108,"2.33":0.2843811171,"2.34":0.2772682731,"2.35":0.270761663,"2.36":0.2647886995,"2.37":0.2592736802,"2.38":0.2541401312,"2.39":0.2493132486,"2.4":0.2447223271,"2.41":0.2403030624,"2.42":0.235999608,"2.43":0.2317662758,"2.44":0.2275687832,"2.45":0.2233849685,"2.46":0.219204925,"2.47":0.2150305341,"2.48":0.2108744107,"2.49":0.2067583094,"2.5":0.2027110716,"2.5100000000000002":0.1987662231,"2.52":0.1949593524,"2.5300000000000002":0.1913254206,"2.54":0.1878961547,"2.5500000000000003":0.1846976786,"2.56":0.1817485237,"2.57":0.1790581378,"2.58":0.1766259884,"2.59":0.1744413152,"2.6":0.172483553,"2.61":0.170723403,"2.62":0.16912449,"2.63":0.1676455069,"2.64":0.1662427155,"2.65":0.164872649,"2.66":0.1634948479,"2.67":0.1620744553,"2.68":0.1605845084,"2.69":0.1590077784,"2.7":0.1573380415,"2.71":0.1555807018,"2.72":0.1537527288,"2.73":0.1518819215,"2.74":0.1500055614,"2.75":0.1481685591,"2.7600000000000002":0.1464212446,"2.77":0.1448169815,"2.7800000000000002":0.143409809,"2.79":0.1422523222,"2.8000000000000003":0.1413939995,"2.81":0.1408801625,"2.82":0.1407517239,"2.83":0.1410458294,"2.84":0.1417974435,"2.85":0.1430418653,"2.86":0.1448180901,"2.87":0.147172863,"2.88":0.1501652084,"2.89":0.1538711583,"2.9":0.1583883605,"2.91":0.1638402164,"2.92":0.1703791889,"2.93":0.1781889264,"2.94":0.1874848823,"2.95":0.198513157,"2.96":0.2115473594,"2.97":0.2268833704,"2.98":0.2448319914,"2.99":0.2657095645,"3.0":0.2898267651,"3.0100000000000002":0.3174758753,"3.02":0.3489169452,"3.0300000000000002":0.3843633403,"3.04":0.4239672392,"3.0500000000000003":0.4678056951,"3.06":0.5158678927,"3.0700000000000003":0.5680442269,"3.08":0.6241177921,"3.09":0.6837588048,"3.1":0.7465223922,"3.11":0.8118500637,"3.12":0.8790750459,"3.13":0.9474315182,"3.14":1.0160676285,"3.15":1.084062013,"3.16":1.1504433995,"3.17":1.2142127336,"3.18":1.2743671555,"3.19":1.329925064,"3.2":1.3799514419,"3.21":1.4235825917,"3.22":1.4600494347,"3.23":1.4886985688,"3.24":1.5090103516,"3.25":1.5206133827,"3.2600000000000002":1.5232948855,"3.27":1.517006639,"3.2800000000000002":1.5018662744,"3.29":1.4781539207,"3.3000000000000003":1.4463043531,"3.31":1.4068949602,"3.3200000000000003":1.3606299925,"3.33":1.3083216838,"3.34":1.2508689341,"3.35":1.1892343173,"3.36":1.1244202145,"3.37":1.0574448787,"3.38":0.9893192126,"3.39":0.9210249801,"3.4":0.8534950896,"3.41":0.7875964788,"3.42":0.7241160054,"3.43":0.6637496096,"3.44":0.6070948764,"3.45":0.5546469815,"3.46":0.506797875,"3.47":0.4638384363,"3.48":0.4259632339,"3.49":0.3932774442,"3.5":0.365805429,"3.5100000000000002":0.3435004448,"3.52":0.3262549522,"3.5300000000000002":0.3139110189,"3.54":0.3062703534,"3.5500000000000003":0.3031035727,"3.56":0.3041583836,"3.5700000000000003":0.3091664515,"3.58":0.3178488211,"3.59":0.329919852,"3.6":0.3450897213,"3.61":0.3630656259,"3.62":0.3835518886,"3.63":0.4062492215,"3.64":0.4308534381,"3.65":0.4570539192,"3.66":0.4845321381,"3.67":0.5129605263,"3.68":0.5420019296,"3.69":0.57130985,"3.7":0.6005296152,"3.71":0.6293005463,"3.72":0.6572591304,"3.73":0.6840431377,"3.74":0.7092965592,"3.75":0.7326751893,"3.7600000000000002":0.7538526349,"3.77":0.7725265033,"3.7800000000000002":0.7884245024,"3.79":0.80131019,"3.8000000000000003":0.8109881166,"3.81":0.8173081358,"3.8200000000000003":0.820168689,"3.83":0.8195189199,"3.84":0.8153595243,"3.85":0.8077422953,"3.86":0.796768382,"3.87":0.782585329,"3.88":0.7653830168,"3.89":0.7453886595,"3.9":0.7228610523,"3.91":0.6980842793,"3.92":0.6713611067,"3.93":0.6430062842,"3.94":0.6133399694,"3.95":0.5826814703,"3.96":0.5513434741,"3.97":0.5196269006,"3.98":0.4878164799,"3.99":0.4561771188,"4.0":0.4249510825,"4.01":0.3943559842,"4.0200000000000005":0.3645835451,"4.03":0.3357990611,"4.04":0.3081414954,"4.05":0.2817241032,"4.0600000000000005":0.2566354902,"4.07":0.232941006,"4.08":0.2106843838,"4.09":0.1898895448,"4.1":0.1705625028,"4.11":0.1526933204,"4.12":0.1362580847,"4.13":0.1212208837,"4.14":0.1075357823,"4.15":0.0951488012,"4.16":0.083999911,"4.17":0.0740250547,"4.18":0.0651582062,"4.19":0.0573334684,"4.2":0.0504871992,"4.21":0.0445601447,"4.22":0.0394995396,"4.23":0.0352611234,"4.24":0.0318110045,"4.25":0.0291272936,"4.26":0.0272014225,"4.2700000000000005":0.0260390577,"4.28":0.0256605251,"4.29":0.0261006676,"4.3":0.0274080747,"4.3100000000000005":0.0296436412,"4.32":0.0328784385,"4.33":0.0371909122,"4.34":0.0426634476,"4.3500000000000005":0.049378383,"4.36":0.0574135769,"4.37":0.0668376689,"4.38":0.0777051982,"4.39":0.0900517629,"4.4":0.1038894179,"4.41":0.1192025117,"4.42":0.135944161,"4.43":0.1540335476,"4.44":0.1733542023,"4.45":0.1937534074,"4.46":0.2150428181,"4.47":0.2370003539,"4.48":0.2593733698,"4.49":0.2818830646,"4.5":0.3042300368,"4.51":0.3261008489,"4.5200000000000005":0.3471754203,"4.53":0.367135031,"4.54":0.3856706869,"4.55":0.402491581,"4.5600000000000005":0.4173333693,"4.57":0.4299659855,"4.58":0.4402007228,"4.59":0.4478963402,"4.6000000000000005":0.4529639713,"4.61":0.4553706617,"4.62":0.4551413989,"4.63":0.4523595536,"4.64":0.4471657023,"4.65":0.4397548551,"4.66":0.4303721667,"4.67":0.4193072563,"4.68":0.406887306,"4.69":0.3934691488,"4.7":0.3794305794,"4.71":0.3651611495,"4.72":0.3510527149,"4.73":0.3374900053,"4.74":0.3248414804,"4.75":0.3134507185,"4.76":0.3036285617,"4.7700000000000005":0.295646209,"4.78":0.2897294166,"4.79":0.2860539228,"4.8":0.2847421782,"4.8100000000000005":0.2858614176,"4.82":0.2894230737,"4.83":0.2953834957,"4.84":0.3036458999,"4.8500000000000005":0.3140634561,"4.86":0.3264433848,"4.87":0.3405519271,"4.88":0.3561200333,"4.89":0.3728496106,"4.9":0.3904201681,"4.91":0.4084956989,"4.92":0.4267316443,"4.93":0.4447817959,"4.94":0.462304998,"4.95":0.4789715307,"4.96":0.4944690615,"4.97":0.508508072,"4.98":0.5208266751,"4.99":0.5311947571,"5.0":0.5394173875,"5.01":0.5453374561,"5.0200000000000005":0.5488375086,"5.03":0.5498162385,"5.04":0.5480740796,"5.05":0.5439118553,"5.0600000000000005":0.5373736419,"5.07":0.5285392452,"5.08":0.5175217768,"5.09":0.5041403223,"5.1000000000000005":0.4887817512,"5.11":0.4716433379,"5.12":0.4529376293,"5.13":0.4328907818,"5.14":0.4117380188,"5.15":0.3897192744,"5.16":0.3670751699,"5.17":0.3440434672,"5.18":0.320856126,"5.19":0.2977370736,"5.2":0.2749007699,"5.21":0.2525516154,"5.22":0.2308842154,"5.23":0.2100844702,"5.24":0.1903314186,"5.25":0.1717997178,"5.26":0.1546626011,"5.2700000000000005":0.1390951169,"5.28":0.1252774208,"5.29":0.1133978694,"5.3":0.1036556522,"5.3100000000000005":0.096262697,"5.32":0.0914445966,"5.33":0.0894403309,"5.34":0.0905005978,"5.3500000000000005":0.0948846196,"5.36":0.1028553542,"5.37":0.1146731139,"5.38":0.1305876754,"5.39":0.1508290443,"5.4":0.1755971212,"5.41":0.2050505958,"5.42":0.2392954592,"5.43":0.2783735879,"5.44":0.3222518883,"5.45":0.3708125167,"5.46":0.4238446875,"5.47":0.4810385628,"5.48":0.5419816703,"5.49":0.6061582296,"5.5":0.6729516781,"5.51":0.7416505815,"5.5200000000000005":0.8114579905,"5.53":0.8815041776,"5.54":0.9508625476,"5.55":1.0185683817,"5.5600000000000005":1.0836399463,"5.57":1.1451013806,"5.58":1.2020066801,"5.59":1.2534640158,"5.6000000000000005":1.298659585,"5.61":1.336880167,"5.62":1.3675335792,"5.63":1.3901662678,"5.64":1.4044773562,"5.65":1.4103285761,"5.66":1.4077496437,"5.67":1.3969388013,"5.68":1.37825841,"5.69":1.3522256624,"5.7":1.3194986606,"5.71":1.2808582784,"5.72":1.2371863849,"5.73":1.1894411457,"5.74":1.1386302251,"5.75":1.0857827989,"5.76":1.0319213231,"5.7700000000000005":0.9780340173,"5.78":0.9250489881,"5.79":0.873810848,"5.8":0.8250605882,"5.8100000000000005":0.7794193297,"5.82":0.7373764231,"5.83":0.6992821965,"5.84":0.6653454694,"5.8500000000000005":0.6356357655,"5.86":0.6100899817,"5.87":0.5885231056,"5.88":0.5706424315,"5.89":0.5560646047,"5.9":0.5443347424,"5.91":0.5349468218,"5.92":0.5273645145,"5.93":0.521041661,"5.94":0.5154416356,"5.95":0.5100549326,"5.96":0.5044144152,"5.97":0.4981077983,"5.98":0.4907870776,"5.99":0.4821747685,"6.0":0.4720669651,"6.01":0.4603333715,"6.0200000000000005":0.4469145814,"6.03":0.431816992,"6.04":0.4151058148,"6.05":0.3968967054,"6.0600000000000005":0.3773465544,"6.07":0.3566439814,"6.08":0.3350000396,"6.09":0.3126395811,"6.1000000000000005":0.2897936557,"6.11":0.266693221,"6.12":0.243564338,"6.13":0.2206249148,"6.140000000000001":0.1980829583,"6.15":0.1761361917,"6.16":0.1549728129,"6.17":0.1347730999,"6.18":0.1157115246,"6.19":0.0979590126,"6.2":0.0816849914,"6.21":0.0670588907,"6.22":0.0542508098,"6.23":0.0434311316,"6.24":0.034768943,"6.25":0.0284292124,"6.26":0.0245687689,"6.2700000000000005":0.0233312213,"6.28":0.0248410393,"6.29":0.0291970941,"6.3":0.0364660129,"6.3100000000000005":0.0466757366,"6.32":0.059809687,"6.33":0.0758019399,"6.34":0.0945337674,"6.3500000000000005":0.1158318602,"6.36":0.1394684666,"6.37":0.1651635973,"6.38":0.1925893459,"6.390000000000001":0.2213762696,"6.4":0.2511216729,"6.41":0.2813995339,"6.42":0.3117717298,"6.43":0.3418001416,"6.44":0.3710591666,"6.45":0.3991481372,"6.46":0.4257031347,"6.47":0.450407708,"6.48":0.4730020436,"6.49":0.4932902007,"6.5":0.511145101,"6.51":0.526511063,"6.5200000000000005":0.5394037731,"6.53":0.5499076947,"6.54":0.5581710295,"6.55":0.5643984437,"6.5600000000000005":0.5688418658,"6.57":0.5717897412,"6.58":0.5735551851,"6.59":0.5744635131,"6.6000000000000005":0.574839646,"6.61":0.5749958768,"6.62":0.5752204591,"6.63":0.5757674303,"6.640000000000001":0.5768480166,"6.65":0.5786238893,"6.66":0.5812024585,"6.67":0.5846342974,"6.68":0.5889127003,"6.69":0.5939752961,"6.7":0.5997075559,"6.71":0.6059479747,"6.72":0.6124946509,"6.73":0.6191129569,"6.74":0.6255439723,"6.75":0.6315133502,"6.76":0.6367403024,"6.7700000000000005":0.6409464115,"6.78":0.6438640176,"6.79":0.6452439733,"6.8":0.6448626057,"6.8100000000000005":0.6425277777,"6.82":0.6380839896,"6.83":0.6314165019,"6.84":0.6224544993,"6.8500000000000005":0.6111733436,"6.86":0.5975959772,"6.87":0.5817935515,"6.88":0.5638853479,"6.890000000000001":0.5440380518,"6.9":0.5224644229,"6.91":0.4994213843,"6.92":0.4752075305,"6.93":0.4501600354,"6.94":0.4246509211,"6.95":0.3990826405,"6.96":0.3738829217,"6.97":0.3494988296,"6.98":0.3263900149,"6.99":0.3050211482,"7.0":0.2858535717,"7.01":0.2693362413,"7.0200000000000005":0.2558960832,"7.03":0.2459279356,"7.04":0.2397842967,"7.05":0.2377651474,"7.0600000000000005":0.2401081517,"7.07":0.2469795688,"7.08":0.2584662249,"7.09":0.2745688918,"7.1000000000000005":0.2951974052,"7.11":0.3201678194,"7.12":0.3492018498,"7.13":0.3819287842,"7.140000000000001":0.4178899715,"7.15":0.4565459047,"7.16":0.4972858227,"7.17":0.5394396564,"7.18":0.5822920526,"7.19":0.6250981173,"7.2":0.6671004446,"7.21":0.7075469314,"7.22":0.7457088348,"7.23":0.7808985017,"7.24":0.812486198,"7.25":0.8399154833,"7.26":0.862716619,"7.2700000000000005":0.8805175614,"7.28":0.8930521696,"7.29":0.9001653594,"7.3":0.9018150365,"7.3100000000000005":0.8980707627,"7.32":0.8891092219,"7.33":0.875206669,"7.34":0.8567286502,"7.3500000000000005":0.8341173795,"7.36":0.8078772323,"7.37":0.778558881,"7.38":0.7467426313,"7.390000000000001":0.7130215392,"7.4":0.6779848776,"7.41":0.6422024973,"7.42":0.6062105742,"7.43":0.5704991707,"7.44":0.535501957,"7.45":0.5015883451,"7.46":0.4690581921,"7.47":0.4381391235,"7.48":0.4089864346,"7.49":0.3816854282,"7.5":0.3562559685,"7.51":0.3326589571,"7.5200000000000005":0.3108043809,"7.53":0.2905605456,"7.54":0.2717640821,"7.55":0.2542303116,"7.5600000000000005":0.2377635666,"7.57":0.2221670912,"7.58":0.2072521864,"7.59":0.1928463147,"7.6000000000000005":0.1787999385,"7.61":0.164991931,"7.62":0.1513334614,"7.63":0.137770321,"7.640000000000001":0.1242837209,"7.65":0.1108896394,"7.66":0.097636852,"7.67":0.0846038096,"7.68":0.07189456,"7.69":0.0596339278,"7.7":0.0479621734,"7.71":0.0370293534,"7.72":0.0269895952,"7.73":0.0179954823,"7.74":0.0101927279,"7.75":0.0037152869,"7.76":0.0,"7.7700000000000005":0.0,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0,"7.82":0.0025902246,"7.83":0.0090276087,"7.84":0.016990981,"7.8500000000000005":0.0263790277,"7.86":0.0370709585,"7.87":0.0489295931,"7.88":0.061804792,"7.890000000000001":0.0755371378,"7.9":0.0899617675,"7.91":0.1049122515,"7.92":0.1202244161,"7.930000000000001":0.1357400006,"7.94":0.1513100479,"7.95":0.1667979225,"7.96":0.1820818634,"7.97":0.1970569832,"7.98":0.21163664,"7.99":0.2257531248,"8.0":0.2393576256,"8.01":0.2524194562,"8.02":0.2649245608,"8.03":0.2768733383,"8.040000000000001":0.2882778568,"8.05":0.2991585624,"8.06":0.3095406139,"8.07":0.3194500011,"8.08":0.3289096266,"8.09":0.3379355465,"8.1":0.3465335742,"8.11":0.3546964493,"8.120000000000001":0.3624017675,"8.13":0.3696108444,"8.14":0.3762686589,"8.15":0.3823049835,"8.16":0.3876367595,"8.17":0.3921717261,"8.18":0.3958132486,"8.19":0.3984662329,"8.2":0.4000439545,"8.21":0.4004755658,"8.22":0.399714002,"8.23":0.3977439544,"8.24":0.3945895552,"8.25":0.3903213919,"8.26":0.3850624736,"8.27":0.378992778,"8.28":0.3723520429,"8.290000000000001":0.3654405105,"8.3":0.3586173949,"8.31":0.3522969217,"8.32":0.3469418748,"8.33":0.3430546814,"8.34":0.3411661685,"8.35":0.341822225,"8.36":0.3455686989,"8.370000000000001":0.3529349547,"8.38":0.3644165862,"8.39":0.3804578486,"8.4":0.4014344119,"8.41":0.427637061,"8.42":0.4592569641,"8.43":0.4963731041,"8.44":0.538942417,"8.45":0.5867931049,"8.46":0.639621499,"8.47":0.6969927318,"8.48":0.7583453512,"8.49":0.8229998742,"8.5":0.8901711358,"8.51":0.9589841497,"8.52":1.0284930654,"8.53":1.0977026871,"8.540000000000001":1.1655919147,"8.55":1.2311383883,"8.56":1.2933435621,"8.57":1.3512574027,"8.58":1.4040019143,"8.59":1.4507927187,"8.6":1.4909579851,"8.61":1.5239540883,"8.620000000000001":1.5493774892,"8.63":1.5669724613,"8.64":1.576634435,"8.65":1.5784088867,"8.66":1.5724858596,"8.67":1.5591903565,"8.68":1.5389689934,"8.69":1.512373433,"8.700000000000001":1.4800412256,"8.71":1.4426747739,"8.72":1.4010191917,"8.73":1.3558398571,"8.74":1.307900452,"8.75":1.2579422476,"8.76":1.2066653282,"8.77":1.1547123559,"8.78":1.1026553624,"8.790000000000001":1.0509859246,"8.8":1.0001089373,"8.81":0.9503400443,"8.82":0.9019066448,"8.83":0.8549522465,"8.84":0.8095438101,"8.85":0.7656816182,"8.86":0.7233111132,"8.870000000000001":0.6823360862,"8.88":0.6426325664,"8.89":0.6040627531,"8.9":0.5664883579,"8.91":0.5297827777,"8.92":0.4938415898,"8.93":0.4585909631,"8.94":0.4239936858,"8.950000000000001":0.3900526361,"8.96":0.3568116475,"8.97":0.3243538461,"8.98":0.2927976548,"8.99":0.262290766,"9.0":0.2330024717,"9.01":0.2051148065,"9.02":0.1788130026,"9.03":0.1542757742,"9.040000000000001":0.1316659391,"9.05":0.1111218535,"9.06":0.0927500816,"9.07":0.0766196433,"9.08":0.0627580974,"9.09":0.051149614,"9.1":0.0417350844,"9.11":0.0344142139,"9.120000000000001":0.0290494372,"9.13":0.0254714139,"9.14":0.0234857802,"9.15":0.0228807824,"9.16":0.0234353793,"9.17":0.0249273907,"9.18":0.0271412788,"9.19":0.0298751811,"9.200000000000001":0.0329468672,"9.21":0.03619836,"9.22":0.0394990427,"9.23":0.0427471649,"9.24":0.0458697518,"9.25":0.0488210143,"9.26":0.0515794393,"9.27":0.0541438146,"9.28":0.0565284983,"9.290000000000001":0.0587582829,"9.3":0.0608632211,"9.31":0.0628737782,"9.32":0.0648166495,"9.33":0.0667115383,"9.34":0.0685691252,"9.35":0.070390387,"9.36":0.0721673317,"9.370000000000001":0.0738851305,"9.38":0.0755255315,"9.39":0.0770713573,"9.4":0.0785118092,"9.41":0.0798482415,"9.42":0.0811000245,"9.43":0.0823100899,"9.44":0.0835497555,"9.450000000000001":0.0849224436,"9.46":0.0865659557,"9.47":0.0886530264,"9.48":0.091389964,"9.49":0.0950132781,"9.5":0.0997842958,"9.51":0.1059818774,"9.52":0.1138934426,"9.53":0.1238046166,"9.540000000000001":0.1359878875,"9.55":0.1506907328,"9.56":0.168123719,"9.57":0.1884490979,"9.58":0.2117704231,"9.59":0.2381236809,"9.6":0.2674703762,"9.61":0.2996929436,"9.620000000000001":0.3345927573,"9.63":0.371890912,"9.64":0.411231825,"9.65":0.4521895976,"9.66":0.4942769488,"9.67":0.5369564309,"9.68":0.5796535355,"9.69":0.6217712189,"9.700000000000001":0.662705318,"9.71":0.7018602914,"9.72":0.73866471,"9.73":0.7725859384,"9.74":0.8031434846,"9.75":0.8299205611,"9.76":0.8525734801,"9.77":0.8708386013,"9.78":0.8845366588,"9.790000000000001":0.8935744038,"9.8":0.8979436131,"9.81":0.897717618,"9.82":0.8930456048,"9.83":0.8841450184,"9.84":0.8712924656,"9.85":0.8548135543,"9.86":0.8350721275,"9.870000000000001":0.8124593483,"9.88":0.7873830709,"9.89":0.7602578858,"9.9":0.7314961736,"9.91":0.7015004246,"9.92":0.6706570039,"9.93":0.6393314536,"9.94":0.6078653383,"9.950000000000001":0.5765745615,"9.96":0.5457490055,"9.97":0.5156532876,"9.98":0.4865283825,"9.99":0.458593828,"10.0":0.4320502245,"10.01":0.4070817411,"10.02":0.3838583655,"10.03":0.3625376742,"10.040000000000001":0.3432659445,"10.05":0.3261784915,"10.06":0.3113991742,"10.07":0.2990390805,"10.08":0.2891944629,"10.09":0.2819440508,"10.1":0.2773459163,"10.11":0.2754341032,"10.120000000000001":0.2762152515,"10.13":0.2796654612,"10.14":0.2857276282,"10.15":0.2943094691,"10.16":0.3052824178,"10.17":0.3184815334,"10.18":0.3337065095,"10.19":0.3507238201,"10.200000000000001":0.3692699766,"10.21":0.389055821,"10.22":0.4097717235,"10.23":0.4310935112,"10.24":0.4526889226,"10.25":0.4742243534,"10.26":0.4953716549,"10.27":0.5158147414,"10.28":0.5352557807,"10.290000000000001":0.5534207625,"10.3":0.5700642755,"10.31":0.5849733636,"10.32":0.5979703766,"10.33":0.6089147794,"10.34":0.6177039301,"10.35":0.6242728823,"10.36":0.6285933042,"10.370000000000001":0.6306716402,"10.38":0.6305466619,"10.39":0.6282865706,"10.4":0.6239858146,"10.41":0.6177617789,"10.42":0.609751493,"10.43":0.600108474,"10.44":0.5889998012,"10.450000000000001":0.5766034815,"10.46":0.5631061348,"10.47":0.5487009949,"10.48":0.5335861916,"10.49":0.5179632567,"10.5":0.5020357746,"10.51":0.4860080897,"10.52":0.4700839775,"10.53":0.4544651903,"10.540000000000001":0.4393498016,"10.55":0.4249302912,"10.56":0.4113913368,"10.57":0.3989073065,"10.58":0.3876394767,"10.59":0.3777330285,"10.6":0.3693139075,"10.61":0.3624856515,"10.620000000000001":0.3573263148,"10.63":0.3538856273,"10.64":0.3521825325,"10.65":0.3522032473,"10.66":0.3538999735,"10.67":0.357190373,"10.68":0.3619578954,"10.69":0.3680530132,"10.700000000000001":0.3752953877,"10.71":0.3834769504,"10.72":0.3923658474,"10.73":0.4017111594,"10.74":0.4112482772,"10.75":0.420704783,"10.76":0.4298066694,"10.77":0.4382847102,"10.78":0.445880792,"10.790000000000001":0.4523540161,"10.8":0.4574863897,"10.81":0.4610879392,"10.82":0.4630011028,"10.83":0.4631042858,"10.84":0.4613144925,"10.85":0.4575889814,"10.86":0.4519259256,"10.870000000000001":0.4443640917,"10.88":0.4349815808,"10.89":0.4238937026,"10.9":0.4112500786,"10.91":0.3972310823,"10.92":0.3820437437,"10.93":0.3659172453,"10.94":0.3490981433,"10.950000000000001":0.3318454396,"10.96":0.3144256263,"10.97":0.2971078093,"10.98":0.2801590072,"10.99":0.2638397027,"11.0":0.2483997104,"11.01":0.2340744077,"11.02":0.2210813613,"11.03":0.2096173668,"11.040000000000001":0.199855911,"11.05":0.1919450544,"11.06":0.1860057258,"11.07":0.1821304186,"11.08":0.1803822733,"11.09":0.1807945325,"11.1":0.1833703553,"11.11":0.188082979,"11.120000000000001":0.1948762185,"11.13":0.2036652984,"11.14":0.2143380105,"11.15":0.2267561942,"11.16":0.2407575361,"11.17":0.2561576852,"11.18":0.2727526769,"11.19":0.2903216585,"11.200000000000001":0.3086299027,"11.21":0.3274320952,"11.22":0.3464758716,"11.23":0.3655055808,"11.24":0.3842662396,"11.25":0.4025076434,"11.26":0.4199885881,"11.27":0.4364811548,"11.28":0.4517750039,"11.290000000000001":0.4656816173,"11.3":0.4780384261,"11.31":0.4887127521,"11.32":0.4976054901,"11.33":0.5046544505,"11.34":0.5098372809,"11.35":0.5131738791,"11.36":0.514728211,"11.370000000000001":0.5146094445,"11.38":0.5129723121,"11.39":0.5100166224,"11.4":0.5059858438,"11.41":0.5011646971,"11.42":0.4958757101,"11.43":0.4904747031,"11.44":0.4853452011,"11.450000000000001":0.4808917937,"11.46":0.4775324968,"11.47":0.4756902043,"11.48":0.4757833531,"11.49":0.4782159642,"11.5":0.4833672585,"11.51":0.4915810796,"11.52":0.503155388,"11.53":0.5183321148,"11.540000000000001":0.5372876804,"11.55":0.560124492,"11.56":0.5868637306,"11.57":0.6174397258,"11.58":0.6516961883,"11.59":0.6893845346,"11.6":0.7301644861,"11.61":0.7736070655,"11.620000000000001":0.8192000454,"11.63":0.8663558233,"11.64":0.914421621,"11.65":0.9626918222,"11.66":1.0104221809,"11.67":1.0568455611,"11.68":1.1011887982,"11.69":1.1426902224,"11.700000000000001":1.1806173403,"11.71":1.2142841494,"11.72":1.2430675574,"11.73":1.2664223892,"11.74":1.2838945029,"11.75":1.2951315875,"11.76":1.2998912867,"11.77":1.2980463789,"11.78":1.2895868419,"11.790000000000001":1.2746187361,"11.8":1.2533599514,"11.81":1.2261329711,"11.82":1.1933549128,"11.83":1.1555252,"11.84":1.1132113017,"11.85":1.0670330413,"11.86":1.0176460218,"11.870000000000001":0.9657247378,"11.88":0.9119459457,"11.89":0.8569728406,"11.9":0.8014405454,"11.91":0.7459433517,"11.92":0.6910240737,"11.93":0.6371657794,"11.94":0.5847860619,"11.950000000000001":0.5342339033,"11.96":0.4857890797,"11.97":0.4396639505,"11.98":0.3960073845,"11.99":0.3549104961,"12.0":0.3164138047,"12.01":0.2805153877,"12.02":0.2471795785,"12.030000000000001":0.216345761,"12.040000000000001":0.1879368376,"12.05":0.1618669867,"12.06":0.1380483882,"12.07":0.1163966682,"12.08":0.0968348962,"12.09":0.0792960572,"12.1":0.0637240123,"12.11":0.0500730419,"12.120000000000001":0.0383061493,"12.13":0.0283923611,"12.14":0.0203033147,"12.15":0.0140094537,"12.16":0.0094761651,"12.17":0.0066601853,"12.18":0.0055065772,"12.19":0.0059465372,"12.200000000000001":0.0078962348,"12.21":0.0112568167,"12.22":0.0159156336,"12.23":0.0217486657,"12.24":0.0286240463,"12.25":0.0364065092,"12.26":0.0449625213,"12.27":0.0541658129,"12.280000000000001":0.0639029826,"12.290000000000001":0.0740788364,"12.3":0.0846211241,"12.31":0.095484356,"12.32":0.1066524219,"12.33":0.1181397907,"12.34":0.1299911353,"12.35":0.1422793077,"12.36":0.155101672,"12.370000000000001":0.1685748888,"12.38":0.1828283281,"12.39":0.1979963629,"12.4":0.21420986,"12.41":0.2315872363,"12.42":0.2502254794,"12.43":0.2701915493,"12.44":0.2915145692,"12.450000000000001":0.31417919,"12.46":0.338120469,"12.47":0.3632205444,"12.48":0.3893073106,"12.49":0.4161552176,"12.5":0.443488227,"12.51":0.4709848625,"12.52":0.4982852064,"12.530000000000001":0.5249996051,"12.540000000000001":0.5507187779,"12.55":0.5750249608,"12.56":0.5975036733,"12.57":0.6177556737,"12.58":0.6354086591,"12.59":0.650128281,"12.6":0.6616280775,"12.61":0.6696779721,"12.620000000000001":0.6741110494,"12.63":0.6748283907,"12.64":0.6718018343,"12.65":0.6650746069,"12.66":0.6547598577,"12.67":0.6410372045,"12.68":0.6241474754,"12.69":0.6043858898,"12.700000000000001":0.582093971,"12.71":0.5576505183,"12.72":0.5314619832,"12.73":0.503952599,"12.74":0.4755546003,"12.75":0.4466988411,"12.76":0.4178060865,"12.77":0.3892792015,"12.780000000000001":0.361496408,"12.790000000000001":0.3348057248,"12.8":0.3095206461,"12.81":0.2859170558,"12.82":0.2642313304,"12.83":0.2446595316,"12.84":0.2273575618,"12.85":0.2124421276,"12.86":0.1999923437,"12.870000000000001":0.1900518076,"12.88":0.1826309811,"12.89":0.1777097319,"12.9":0.1752399122,"12.91":0.1751478787,"12.92":0.1773368918,"12.93":0.1816893629,"12.94":0.1880689512,"12.950000000000001":0.1963225384,"12.96":0.2062821324,"12.97":0.2177667671,"12.98":0.2305844726,"12.99":0.2445343918,"13.0":0.2594091102,"13.01":0.274997251,"13.02":0.2910863664,"13.030000000000001":0.3074661284,"13.040000000000001":0.3239317952,"13.05":0.3402878951,"13.06":0.3563520439,"13.07":0.371958782,"13.08":0.3869632964,"13.09":0.4012448776,"13.1":0.4147099524,"13.11":0.4272945347,"13.120000000000001":0.4389659457,"13.13":0.4497236735,"13.14":0.4595992682,"13.15":0.4686552019,"13.16":0.4769826643,"13.17":0.4846983054,"13.18":0.4919399832,"13.19":0.4988616209,"13.200000000000001":0.5056273162,"13.21":0.5124048891,"13.22":0.5193590803,"13.23":0.526644639,"13.24":0.5343995515,"13.25":0.542738666,"13.26":0.5517479608,"13.27":0.5614796868,"13.280000000000001":0.5719485871,"13.290000000000001":0.5831293604,"13.3":0.5949554909,"13.31":0.6073195183,"13.32":0.6200747702,"13.33":0.633038522,"13.34":0.6459965002,"13.35":0.6587085917,"13.36":0.6709155777,"13.370000000000001":0.6823466747,"13.38":0.6927276315,"13.39":0.7017891143,"13.4":0.7092750999,"13.41":0.7149509984,"13.42":0.7186112349,"13.43":0.7200860436,"13.44":0.7192472519,"13.450000000000001":0.7160128712,"13.46":0.7103503522,"13.47":0.702278406,"13.48":0.6918673449,"13.49":0.6792379405,"13.5":0.6645588475,"13.51":0.6480426842,"13.52":0.6299409012,"13.530000000000001":0.6105376029,"13.540000000000001":0.5901425175,"13.55":0.5690833271,"13.56":0.5476975868,"13.57":0.5263244662,"13.58":0.5052965441,"13.59":0.484931881,"13.6":0.4655265785,"13.61":0.4473480157,"13.620000000000001":0.4306289292,"13.63":0.4155624753,"13.64":0.402298386,"13.65":0.3909402961,"13.66":0.3815442914,"13.67":0.3741186941,"13.68":0.3686250735,"13.69":0.3649804411,"13.700000000000001":0.3630605626,"13.71":0.3627042952,"13.72":0.3637188386,"13.73":0.3658857662,"13.74":0.3689676901,"13.75":0.3727153984,"13.76":0.3768752927,"13.77":0.3811969486,"13.780000000000001":0.3854406142,"13.790000000000001":0.3893844637,"13.8":0.3928314244,"13.81":0.3956153988,"13.82":0.397606717,"13.83":0.3987166627,"13.84":0.3989009378,"13.85":0.3981619468,"13.86":0.396549809,"13.870000000000001":0.3941620347,"13.88":0.3911418307,"13.89":0.387675037,"13.9":0.3839857288,"13.91":0.3803305604,"13.92":0.3769919588,"13.93":0.3742703167,"13.94":0.372475366,"13.950000000000001":0.371916946,"13.96":0.3728954054,"13.97":0.3756919013,"13.98":0.3805588687,"13.99":0.3877109454,"14.0":0.3973166308,"14.01":0.4094909494,"14.02":0.4242893689,"14.030000000000001":0.4417031947,"14.040000000000001":0.4616566242,"14.05":0.4840056032,"14.06":0.5085385706,"14.07":0.5349791293,"14.08":0.5629906145,"14.09":0.5921824784,"14.1":0.6221183472,"14.11":0.6523255501,"14.120000000000001":0.6823058742,"14.13":0.7115472488,"14.14":0.7395360341,"14.15":0.7657695599,"14.16":0.7897685491,"14.17":0.8110890589,"14.18":0.829333582,"14.19":0.844160976,"14.200000000000001":0.855294919,"14.21":0.8625306395,"14.22":0.8657397174,"14.23":0.8648728149,"14.24":0.8599602642,"14.25":0.8511105016,"14.26":0.8385064102,"14.27":0.8223996973,"14.280000000000001":0.8031034948,"14.290000000000001":0.7809834237,"14.3":0.7564474132,"14.31":0.7299345965,"14.32":0.7019036339,"14.33":0.6728208233,"14.34":0.6431483599,"14.35":0.6133330945,"14.36":0.5837961152,"14.370000000000001":0.5549234458,"14.38":0.5270581077,"14.39":0.5004937456,"14.4":0.4754699593,"14.41":0.4521694247,"14.42":0.43071683,"14.43":0.4111795918,"14.44":0.3935702604,"14.450000000000001":0.3778504747,"14.46":0.3639362804,"14.47":0.3517045906,"14.48":0.3410005393,"14.49":0.3316454602,"14.5":0.3234452132,"14.51":0.3161985846,"14.52":0.309705491,"14.530000000000001":0.3037747396,"14.540000000000001":0.2982311197,"14.55":0.2929216288,"14.56":0.2877206758,"14.57":0.2825341381,"14.58":0.277302191,"14.59":0.2720008672,"14.6":0.2666423441,"14.61":0.2612739923,"14.620000000000001":0.2559762554,"14.63":0.2508594572,"14.64":0.2460596641,"14.65":0.2417337455,"14.66":0.2380537962,"14.67":0.2352010933,"14.68":0.2333597659,"14.69":0.2327103607,"14.700000000000001":0.2334234805,"14.71":0.2356536674,"14.72":0.2395336928,"14.73":0.245169403,"14.74":0.2526352518,"14.75":0.261970636,"14.76":0.2731771269,"14.77":0.2862166724,"14.780000000000001":0.3010108182,"14.790000000000001":0.3174409769,"14.8":0.3353497447,"14.81":0.3545432476,"14.82":0.3747944676,"14.83":0.3958474811,"14.84":0.4174225169,"14.85":0.4392217185,"14.86":0.4609354782,"14.870000000000001":0.4822491922,"14.88":0.5028502709,"14.89":0.52243523,"14.9":0.5407166798,"14.91":0.5574300278,"14.92":0.5723397145,"14.93":0.5852448073,"14.94":0.5959837926,"14.950000000000001":0.604438423,"14.96":0.6105365014,"14.97":0.6142535081,"14.98":0.6156130116,"14.99":0.614685837,"15.0":0.6115879996,"15.01":0.6064774536,"15.02":0.5995497365,"15.030000000000001":0.5910326303,"15.040000000000001":0.5811799884,"15.05":0.5702649074,"15.06":0.5585724448,"15.07":0.5463921003,"15.08":0.534010287,"15.09":0.5217030212,"15.1":0.5097290529,"15.11":0.4983236461,"15.120000000000001":0.4876931946,"15.13":0.4780108348,"15.14":0.4694131797,"15.15":0.4619982611,"15.16":0.4558247279,"15.17":0.4509123004,"15.18":0.4472434423,"15.19":0.4447661671,"15.200000000000001":0.443397857,"15.21":0.4430299419,"15.22":0.4435332526,"15.23":0.444763846,"15.24":0.4465690836,"15.25":0.4487937406,"15.26":0.4512859252,"15.27":0.4539025994,"15.280000000000001":0.4565145106,"15.290000000000001":0.4590103697,"15.3":0.4613001414,"15.31":0.463317349,"15.32":0.4650203343,"15.33":0.4663924536,"15.34":0.4674412294,"15.35":0.4681965187,"15.36":0.4687077914,"15.370000000000001":0.4690406444,"15.38":0.4692727034,"15.39":0.4694890829,"15.4":0.4697775881,"15.41":0.4702238485,"15.42":0.4709065699,"15.43":0.4718930863,"15.44":0.4732353752,"15.450000000000001":0.4749666829,"15.46":0.4770988792,"15.47":0.4796206348,"15.48":0.4824964813,"15.49":0.4856667849,"15.5":0.4890486293,"15.51":0.4925375752,"15.52":0.4960102317,"15.530000000000001":0.4993275511,"15.540000000000001":0.5023387349,"15.55":0.5048856192,"15.56":0.5068073979,"15.57":0.5079455278,"15.58":0.5081486621,"15.59":0.5072774544,"15.6":0.5052090866,"15.610000000000001":0.5018413784,"15.620000000000001":0.4970963572,"15.63":0.490923178,"15.64":0.4833003089,"15.65":0.4742369154,"15.66":0.4637734057,"15.67":0.4519811184,"15.68":0.4389611646,"15.69":0.4248424564,"15.700000000000001":0.4097789792,"15.71":0.3939463873,"15.72":0.3775380211,"15.73":0.3607604605,"15.74":0.3438287442,"15.75":0.3269613947,"15.76":0.3103753925,"15.77":0.2942812503,"15.780000000000001":0.2788783308,"15.790000000000001":0.2643505487,"15.8":0.2508625863,"15.81":0.2385567362,"15.82":0.227550468,"15.83":0.2179347921,"15.84":0.2097734697,"15.85":0.2031030913,"15.860000000000001":0.1979340162,"15.870000000000001":0.1942521364,"15.88":0.1920214007,"15.89":0.1911870055,"15.9":0.1916791332,"15.91":0.1934170995,"15.92":0.1963137507,"15.93":0.2002799401,"15.94":0.2052289077,"15.950000000000001":0.211080384,"15.96":0.2177642482,"15.97":0.2252235813,"15.98":0.2334169773,"15.99":0.2423199975,"16.0":0.2519256885,"16.01":0.2622441155,"16.02":0.2733009045,"16.03":0.2851348245,"16.04":0.2977944843,"16.05":0.3113342533,"16.06":0.3258095564,"16.07":0.3412717211,"16.080000000000002":0.3577625812,"16.09":0.3753090605,"16.1":0.3939179673,"16.11":0.4135712334,"16.12":0.4342218212,"16.13":0.4557905046,"16.14":0.4781637027,"16.15":0.5011925098,"16.16":0.524693024,"16.17":0.5484480271,"16.18":0.5722100205,"16.19":0.5957055658,"16.2":0.6186408287,"16.21":0.6407081737,"16.22":0.6615936112,"16.23":0.6809848628,"16.240000000000002":0.6985797763,"16.25":0.714094804,"16.26":0.7272732473,"16.27":0.7378929715,"16.28":0.7457733087,"16.29":0.7507808897,"16.3":0.7528341819,"16.31":0.7519065533,"16.32":0.7480277347,"16.330000000000002":0.7412836086,"16.34":0.7318143153,"16.35":0.719810728,"16.36":0.7055094083,"16.37":0.689186211,"16.38":0.6711487576,"16.39":0.6517280402,"16.4":0.6312694489,"16.41":0.6101235389,"16.42":0.588636861,"16.43":0.5671431768,"16.44":0.5459553623,"16.45":0.5253582775,"16.46":0.5056028402,"16.47":0.4869014937,"16.48":0.4694252026,"16.490000000000002":0.4533020526,"16.5":0.4386174637,"16.51":0.4254159647,"16.52":0.4137044166,"16.53":0.4034565133,"16.54":0.3946183418,"16.55":0.3871147428,"16.56":0.3808561815,"16.57":0.375745824,"16.580000000000002":0.3716865068,"16.59":0.3685872946,"16.6":0.3663693437,"16.61":0.364970817,"16.62":0.3643506403,"16.63":0.3644909394,"16.64":0.3653980535,"16.65":0.3671020835,"16.66":0.3696549946,"16.67":0.3731273558,"16.68":0.3776038575,"16.69":0.383177802,"16.7":0.3899448056,"16.71":0.3979959877,"16.72":0.4074109477,"16.73":0.4182508401,"16.740000000000002":0.4305518609,"16.75":0.4443194443,"16.76":0.459523442,"16.77":0.4760945246,"16.78":0.4939219944,"16.79":0.5128531478,"16.8":0.5326942633,"16.81":0.5532132289,"16.82":0.5741437563,"16.830000000000002":0.5951910676,"16.84":0.6160388795,"16.85":0.6363574586,"16.86":0.6558124737,"16.87":0.6740743417,"16.88":0.6908277338,"16.89":0.705780906,"16.9":0.7186745138,"16.91":0.7292895902,"16.92":0.737454393,"16.93":0.7430498657,"16.94":0.7460135055,"16.95":0.7463414893,"16.96":0.7440889703,"16.97":0.7393685237,"16.98":0.7323467881,"16.990000000000002":0.7232394123,"17.0":0.7123044807,"17.01":0.6998346425,"17.02":0.6861482176,"17.03":0.6715795875,"17.04":0.6564692024,"17.05":0.6411535489,"17.06":0.62595542,"17.07":0.6111748165,"17.080000000000002":0.5970807805,"17.09":0.5839044271,"17.1":0.5718333918,"17.11":0.5610078569,"17.12":0.5515182616,"17.13":0.5434047356,"17.14":0.5366582343,"17.150000000000002":0.5312232899,"17.16":0.5270022376,"17.17":0.5238607219,"17.18":0.5216342485,"17.19":0.5201355117,"17.2":0.5191622053,"17.21":0.5185050179,"17.22":0.5179555101,"17.23":0.5173135891,"17.240000000000002":0.5163943163,"17.25":0.515033821,"17.26":0.5130941312,"17.27":0.5104667852,"17.28":0.5070751347,"17.29":0.5028753106,"17.3":0.4978558704,"17.31":0.4920362031,"17.32":0.4854638109,"17.330000000000002":0.4782106287,"17.34":0.4703685762,"17.35":0.4620445589,"17.36":0.4533551507,"17.37":0.4444211917,"17.38":0.4353625324,"17.39":0.4262931359,"17.400000000000002":0.4173167286,"17.41":0.408523158,"17.42":0.3999855779,"17.43":0.3917585431,"17.44":0.3838770512,"17.45":0.3763565269,"17.46":0.3691937025,"17.47":0.3623683143,"17.48":0.355845496,"17.490000000000002":0.3495787317,"17.5":0.3435132057,"17.51":0.3375893812,"17.52":0.3317466326,"17.53":0.3259267647,"17.54":0.3200772629,"17.55":0.3141541394,"17.56":0.3081242625,"17.57":0.301967089,"17.580000000000002":0.2956757476,"17.59":0.289257456,"17.6":0.2827332866,"17.61":0.2761373264,"17.62":0.2695153013,"17.63":0.262922763,"17.64":0.2564229474,"17.650000000000002":0.2500844299,"17.66":0.2439787055,"17.67":0.2381778186,"17.68":0.2327521629,"17.69":0.2277685544,"17.7":0.2232886647,"17.71":0.2193678778,"17.72":0.2160546092,"17.73":0.2133900997,"17.740000000000002":0.2114086681,"17.75":0.2101383842,"17.76":0.2096020971,"17.77":0.2098187375,"17.78":0.2108047946,"17.79":0.2125758594,"17.8":0.2151481221,"17.81":0.2185397111,"17.82":0.2227717689,"17.830000000000002":0.2278691716,"17.84":0.2338608173,"17.85":0.2407794269,"17.86":0.2486608277,"17.87":0.2575427143,"17.88":0.2674629094,"17.89":0.2784571721,"17.900000000000002":0.2905566284,"17.91":0.3037849181,"17.92":0.3181551736,"17.93":0.3336669578,"17.94":0.3503032983,"17.95":0.3680279584,"17.96":0.3867830821,"17.97":0.4064873406,"17.98":0.4270346973,"17.990000000000002":0.4482938832,"18.0":0.4701086574,"18.01":0.4922988936,"18.02":0.5146625086,"18.03":0.536978216,"18.04":0.5590090543,"18.05":0.5805066129,"18.06":0.6012158476,"18.07":0.6208803547,"18.080000000000002":0.6392479502,"18.09":0.6560763881,"18.1":0.6711390411,"18.11":0.684230364,"18.12":0.6951709647,"18.13":0.7038121174,"18.14":0.7100395692,"18.150000000000002":0.7137765137,"18.16":0.7149856321,"18.17":0.7136701333,"18.18":0.709873758,"18.19":0.7036797488,"18.2":0.6952088201,"18.21":0.6846162002,"18.22":0.6720878472,"18.23":0.6578359673,"18.240000000000002":0.6420939898,"18.25":0.6251111675,"18.26":0.6071469819,"18.27":0.588465538,"18.28":0.5693301264,"18.29":0.5499981204,"18.3":0.5307163607,"18.31":0.5117171514,"18.32":0.4932149687,"18.330000000000002":0.4754039449,"18.34":0.4584561629,"18.35":0.4425207551,"18.36":0.4277237698,"18.37":0.4141687356,"18.38":0.4019378249,"18.39":0.3910934975,"18.400000000000002":0.3816804841,"18.41":0.3737279654,"18.42":0.3672517957,"18.43":0.3622566269,"18.44":0.3587378034,"18.45":0.3566829158,"18.46":0.3560729268,"18.47":0.356882815,"18.48":0.3590817133,"18.490000000000002":0.3626325538,"18.5":0.3674912656,"18.51":0.3736056038,"18.52":0.380913716,"18.53":0.3893425749,"18.54":0.3988064221,"18.55":0.4092053745,"18.56":0.4204243478,"18.57":0.4323324376,"18.580000000000002":0.4447828847,"18.59":0.4576137244,"18.6":0.4706491884,"18.61":0.4837018887,"18.62":0.4965757745,"18.63":0.5090698099,"18.64":0.5209822785,"18.650000000000002":0.5321155818,"18.66":0.5422813672,"18.67":0.55130579,"18.68":0.5590346997,"18.69":0.5653385294,"18.7":0.5701166678,"18.71":0.5733011086,"18.72":0.5748591916,"18.73":0.5747952824,"18.740000000000002":0.5731512798,"18.75":0.5700058843,"18.76":0.5654726155,"18.77":0.5596966179,"18.78":0.5528503469,"18.79":0.5451282822,"18.8":0.5367408528,"18.81":0.5279078027,"18.82":0.5188512478,"18.830000000000002":0.5097886962,"18.84":0.5009263031,"18.85":0.492452629,"18.86":0.4845331449,"18.87":0.4773056997,"18.88":0.4708771228,"18.89":0.4653210831,"18.900000000000002":0.460677274,"18.91":0.4569519311,"18.92":0.4541196348,"18.93":0.4521262883,"18.94":0.4508931165,"18.95":0.450321481,"18.96":0.4502982783,"18.97":0.4507016626,"18.98":0.4514068256,"18.990000000000002":0.4522915696,"19.0":0.4532414241,"19.01":0.4541540855,"19.02":0.4549429978,"19.03":0.4555399353,"19.04":0.4558965064,"19.05":0.455984548,"19.06":0.4557954403,"19.07":0.4553384235,"19.080000000000002":0.4546380479,"19.09":0.45373093,"19.1":0.4526620177,"19.11":0.4514805903,"19.12":0.4502362257,"19.13":0.4489749625,"19.14":0.4477358708,"19.150000000000002":0.4465482165,"19.16":0.4454293673,"19.17":0.4443835446,"19.18":0.4434014767,"19.19":0.4424609573,"19.2":0.4415282605,"19.21":0.4405603196,"19.22":0.4395075304,"19.23":0.4383170116,"19.240000000000002":0.4369361257,"19.25":0.4353160548,"19.26":0.4334152238,"19.27":0.4312023727,"19.28":0.4286591046,"19.29":0.4257817627,"19.3":0.4225825348,"19.31":0.4190897219,"19.32":0.4153471625,"19.330000000000002":0.4114128461,"19.34":0.4073567999,"19.35":0.4032583718,"19.36":0.3992030659,"19.37":0.3952791129,"19.38":0.3915739709,"19.39":0.388170954,"19.400000000000002":0.3851461787,"19.41":0.3825659977,"19.42":0.3804850613,"19.43":0.3789451072,"19.44":0.3779745398,"19.45":0.3775888074,"19.46":0.3777915429,"19.47":0.378576383,"19.48":0.379929343,"19.490000000000002":0.3818315865,"19.5":0.3842624078,"19.51":0.3872022242,"19.52":0.3906353792,"19.53":0.3945525583,"19.54":0.3989526459,"19.55":0.4038438762,"19.56":0.4092441754,"19.57":0.4151806329,"19.580000000000002":0.4216880955,"19.59":0.4288069239,"19.6":0.4365800058,"19.61":0.445049165,"19.62":0.4542511432,"19.63":0.4642133643,"19.64":0.4749497098,"19.650000000000002":0.4864565405,"19.66":0.4987091974,"19.67":0.5116591939,"19.68":0.5252322872,"19.69":0.5393275716,"19.7":0.5538176964,"19.71":0.5685502507,"19.72":0.5833503055,"19.73":0.5980240458,"19.740000000000002":0.6123633713,"19.75":0.6261512943,"19.76":0.6391679275,"19.77":0.651196818,"19.78":0.6620313701,"19.79":0.6714810909,"19.8":0.6793774,"19.81":0.6855787632,"19.82":0.6899749423,"19.830000000000002":0.6924901918,"19.84":0.693085282,"19.85":0.6917582826,"19.86":0.6885440946,"19.87":0.683512776,"19.88":0.6767667572,"19.89":0.6684370903,"19.900000000000002":0.6586789147,"19.91":0.6476663485,"19.92":0.6355870367,"19.93":0.6226365902,"19.94":0.609013146,"19.95":0.5949122611,"19.96":0.5805223282,"19.97":0.5660206639,"19.98":0.5515703818,"19.990000000000002":0.5373181164},"2":{"1.5":0.1818445071,"1.51":0.1814147403,"1.52":0.1810351793,"1.53":0.1807205674,"1.54":0.1804880177,"1.55":0.1803572288,"1.56":0.1803507251,"1.57":0.1804941148,"1.58":0.1808163517,"1.59":0.1813499826,"1.6":0.1821313556,"1.61":0.1832007608,"1.62":0.1846024703,"1.6300000000000001":0.1863846427,"1.6400000000000001":0.1885990577,"1.6500000000000001":0.1913006472,"1.6600000000000001":0.1945467936,"1.67":0.198396375,"1.68":0.2029085435,"1.69":0.2081412351,"1.7":0.2141494231,"1.71":0.2209831413,"1.72":0.2286853172,"1.73":0.2372894713,"1.74":0.2468173521,"1.75":0.257276588,"1.76":0.2686584495,"1.77":0.2809358167,"1.78":0.2940614562,"1.79":0.3079667039,"1.8":0.3225606478,"1.81":0.3377298925,"1.82":0.3533389708,"1.83":0.3692314506,"1.84":0.3852317589,"1.85":0.4011477208,"1.86":0.4167737834,"1.87":0.4318948656,"1.8800000000000001":0.4462907465,"1.8900000000000001":0.4597408815,"1.9000000000000001":0.4720295102,"1.9100000000000001":0.4829509025,"1.92":0.4923145777,"1.93":0.4999503229,"1.94":0.5057128376,"1.95":0.5094858386,"1.96":0.5111854733,"1.97":0.5107629093,"1.98":0.5082059956,"1.99":0.5035399215,"2.0":0.4968268365,"2.0100000000000002":0.4881644275,"2.02":0.4776834953,"2.0300000000000002":0.4655446016,"2.04":0.4519338996,"2.05":0.4370582882,"2.06":0.4211400567,"2.07":0.4044112046,"2.08":0.3871076336,"2.09":0.3694634113,"2.1":0.3517053,"2.11":0.3340477316,"2.12":0.31668839,"2.13":0.299804531,"2.14":0.2835501418,"2.15":0.2680540016,"2.16":0.2534186691,"2.17":0.2397203807,"2.18":0.2270098081,"2.19":0.2153135878,"2.2":0.2046365068,"2.21":0.1949642032,"2.22":0.1862662266,"2.23":0.178499292,"2.24":0.1716105642,"2.25":0.1655408129,"2.2600000000000002":0.1602272985,"2.27":0.155606268,"2.2800000000000002":0.1516149692,"2.29":0.1481931224,"2.3000000000000003":0.1452838232,"2.31":0.1428338841,"2.32":0.1407936561,"2.33":0.1391164013,"2.34":0.1377573136,"2.35":0.1366723029,"2.36":0.1358166732,"2.37":0.1351438267,"2.38":0.1346041268,"2.39":0.1341440396,"2.4":0.1337056567,"2.41":0.1332266797,"2.42":0.1326409154,"2.43":0.1318793011,"2.44":0.1308714456,"2.45":0.1295476352,"2.46":0.1278412284,"2.47":0.1256913285,"2.48":0.1230456077,"2.49":0.1198631361,"2.5":0.1161170634,"2.5100000000000002":0.1117969993,"2.52":0.1069109498,"2.5300000000000002":0.1014866789,"2.54":0.095572392,"2.5500000000000003":0.0892366643,"2.56":0.0825675738,"2.57":0.0756710329,"2.58":0.0686683544,"2.59":0.0616931214,"2.6":0.0548874695,"2.61":0.0483979153,"2.62":0.0423708953,"2.63":0.0369481907,"2.64":0.032262426,"2.65":0.0284328285,"2.66":0.0255614259,"2.67":0.0237298431,"2.68":0.0229968333,"2.69":0.0233966464,"2.7":0.0249383032,"2.71":0.0276057999,"2.72":0.031359229,"2.73":0.0361367601,"2.74":0.0418573854,"2.75":0.0484243021,"2.7600000000000002":0.0557287725,"2.77":0.0636542855,"2.7800000000000002":0.0720808288,"2.79":0.0808890765,"2.8000000000000003":0.0899643061,"2.81":0.0991998688,"2.82":0.108500064,"2.83":0.1177822961,"2.84":0.126978427,"2.85":0.1360352802,"2.86":0.1449142898,"2.87":0.1535903326,"2.88":0.1620498207,"2.89":0.170288168,"2.9":0.1783067751,"2.91":0.1861097014,"2.92":0.1937002111,"2.93":0.2010773843,"2.94":0.2082329866,"2.95":0.2151487788,"2.96":0.2217944297,"2.97":0.2281261701,"2.98":0.2340862914,"2.99":0.2396035572,"3.0":0.2445945545,"3.0100000000000002":0.2489659662,"3.02":0.2526177101,"3.0300000000000002":0.2554468427,"3.04":0.257352096,"3.0500000000000003":0.2582388801,"3.06":0.2580245618,"3.0700000000000003":0.2566438118,"3.08":0.2540538054,"3.09":0.2502390583,"3.1":0.2452156899,"3.11":0.2390349215,"3.12":0.2317856379,"3.13":0.2235958754,"3.14":0.2146331289,"3.15":0.2051034115,"3.16":0.1952490445,"3.17":0.1853451905,"3.18":0.1756951921,"3.19":0.1666248121,"3.2":0.1584755104,"3.21":0.1515969238,"3.22":0.1463387429,"3.23":0.1430421973,"3.24":0.1420313783,"3.25":0.1436046319,"3.2600000000000002":0.1480262571,"3.27":0.1555187349,"3.2800000000000002":0.1662557043,"3.29":0.1803558778,"3.3000000000000003":0.1978780682,"3.31":0.2188174679,"3.3200000000000003":0.2431032914,"3.33":0.2705978544,"3.34":0.3010971307,"3.35":0.3343327874,"3.36":0.3699756656,"3.37":0.407640637,"3.38":0.4468927349,"3.39":0.4872544271,"3.4":0.5282138727,"3.41":0.5692339825,"3.42":0.6097620825,"3.43":0.6492399708,"3.44":0.6871141481,"3.45":0.7228459977,"3.46":0.7559216995,"3.47":0.7858616619,"3.48":0.812229276,"3.49":0.8346388087,"3.5":0.8527622745,"3.5100000000000002":0.8663351496,"3.52":0.8751608213,"3.5300000000000002":0.8791136931,"3.54":0.8781409002,"3.5500000000000003":0.8722626186,"3.56":0.8615709871,"3.5700000000000003":0.8462276876,"3.58":0.8264602628,"3.59":0.8025572736,"3.6":0.7748624238,"3.61":0.7437677984,"3.62":0.7097063784,"3.63":0.6731440055,"3.64":0.6345709753,"3.65":0.594493442,"3.66":0.5534248112,"3.67":0.5118772936,"3.68":0.4703537767,"3.69":0.4293401624,"3.7":0.3892982945,"3.71":0.3506595855,"3.72":0.3138194275,"3.73":0.2791324511,"3.74":0.2469086746,"3.75":0.217410563,"3.7600000000000002":0.1908509975,"3.77":0.1673921368,"3.7800000000000002":0.1471451364,"3.79":0.1301706774,"3.8000000000000003":0.1164802458,"3.81":0.1060380951,"3.8200000000000003":0.0987638189,"3.83":0.0945354574,"3.84":0.0931930595,"3.85":0.0945426247,"3.86":0.0983603494,"3.87":0.1043971054,"3.88":0.112383084,"3.89":0.1220325411,"3.9":0.1330485834,"3.91":0.1451279407,"3.92":0.1579656705,"3.93":0.1712597464,"3.94":0.1847154824,"3.95":0.1980497474,"3.96":0.2109949272,"3.97":0.2233025916,"3.98":0.2347468247,"3.99":0.2451271822,"4.0":0.2542712379,"4.01":0.2620366879,"4.0200000000000005":0.2683129824,"4.03":0.2730224643,"4.04":0.2761209937,"4.05":0.2775980515,"4.0600000000000005":0.2774763167,"4.07":0.2758107242,"4.08":0.2726870181,"4.09":0.2682198218,"4.1":0.2625502585,"4.11":0.2558431598,"4.12":0.2482839103,"4.13":0.2400749797,"4.14":0.2314322005,"4.15":0.2225808515,"4.16":0.2137516098,"4.17":0.2051764346,"4.18":0.1970844445,"4.19":0.1896978501,"4.2":0.183227998,"4.21":0.1778715824,"4.22":0.1738070737,"4.23":0.1711914111,"4.24":0.170157003,"4.25":0.1708090744,"4.26":0.1732233983,"4.2700000000000005":0.1774444452,"4.28":0.1834839833,"4.29":0.1913201576,"4.3":0.2008970791,"4.3100000000000005":0.2121249465,"4.32":0.2248807252,"4.33":0.239009402,"4.34":0.2543258274,"4.3500000000000005":0.2706171542,"4.36":0.2876458672,"4.37":0.3051533919,"4.38":0.3228642545,"4.39":0.340490753,"4.4":0.3577380794,"4.41":0.3743098204,"4.42":0.3899137412,"4.43":0.4042677442,"4.44":0.4171058736,"4.45":0.4281842289,"4.46":0.4372866328,"4.47":0.4442298972,"4.48":0.4488685277,"4.49":0.4510987091,"4.5":0.4508614254,"4.51":0.4481445836,"4.5200000000000005":0.4429840321,"4.53":0.4354633907,"4.54":0.4257126453,"4.55":0.413905494,"4.5600000000000005":0.4002554735,"4.57":0.3850109357,"4.58":0.3684489854,"4.59":0.3508685308,"4.6000000000000005":0.3325826345,"4.61":0.3139103827,"4.62":0.2951685174,"4.63":0.2766630893,"4.64":0.258681399,"4.65":0.2414844908,"4.66":0.225300449,"4.67":0.2103187264,"4.68":0.1966857002,"4.69":0.1845016123,"4.7":0.1738189995,"4.71":0.1646426729,"4.72":0.1569312413,"4.73":0.1506001254,"4.74":0.1455259479,"4.75":0.1415521356,"4.76":0.1384955251,"4.7700000000000005":0.1361537236,"4.78":0.1343129515,"4.79":0.132756074,"4.8":0.1312705265,"4.8100000000000005":0.1296558431,"4.82":0.1277305193,"4.83":0.1253379666,"4.84":0.1223513605,"4.8500000000000005":0.1186772265,"4.86":0.1142576673,"4.87":0.1090711875,"4.88":0.1031321336,"4.89":0.0964888219,"4.9":0.08922048,"4.91":0.0814331752,"4.92":0.0732549386,"4.93":0.0648303244,"4.94":0.056314657,"4.95":0.047868227,"4.96":0.0396506873,"4.97":0.0318158832,"4.98":0.0245073217,"4.99":0.0178544462,"5.0":0.0119698413,"5.01":0.0069474388,"5.0200000000000005":0.0028617481,"5.03":0.0,"5.04":0.0,"5.05":0.0,"5.0600000000000005":0.0,"5.07":0.0,"5.08":0.0,"5.09":0.0031530747,"5.1000000000000005":0.007345133,"5.11":0.0125412255,"5.12":0.0187333266,"5.13":0.0259195434,"5.14":0.0341050439,"5.15":0.0433021925,"5.16":0.0535298834,"5.17":0.0648121113,"5.18":0.0771758581,"5.19":0.0906484122,"5.2":0.1052542688,"5.21":0.1210117804,"5.22":0.1379297428,"5.23":0.1560041021,"5.24":0.1752149673,"5.25":0.1955240913,"5.26":0.2168729665,"5.2700000000000005":0.2391816437,"5.28":0.2623483519,"5.29":0.2862499533,"5.3":0.3107432288,"5.3100000000000005":0.3356669471,"5.32":0.3608446358,"5.33":0.3860879355,"5.34":0.411200397,"5.3500000000000005":0.4359815577,"5.36":0.4602311269,"5.37":0.4837531052,"5.38":0.5063596737,"5.39":0.5278747005,"5.4":0.5481367381,"5.41":0.5670014137,"5.42":0.5843431446,"5.43":0.6000561515,"5.44":0.6140547741,"5.45":0.6262731312,"5.46":0.6366641986,"5.47":0.6451984028,"5.48":0.651861852,"5.49":0.6566543374,"5.5":0.6595872437,"5.51":0.6606815039,"5.5200000000000005":0.6599657272,"5.53":0.6574746048,"5.54":0.6532476839,"5.55":0.6473285632,"5.5600000000000005":0.6397645405,"5.57":0.6306067062,"5.58":0.6199104461,"5.59":0.6077362913,"5.6000000000000005":0.5941510223,"5.61":0.5792289216,"5.62":0.5630530512,"5.63":0.5457164287,"5.64":0.5273229768,"5.65":0.5079881301,"5.66":0.4878390015,"5.67":0.4670140297,"5.68":0.4456620611,"5.69":0.4239408471,"5.7":0.4020149722,"5.71":0.3800532605,"5.72":0.3582257396,"5.73":0.3367002678,"5.74":0.3156389553,"5.75":0.295194522,"5.76":0.2755067502,"5.7700000000000005":0.2566991864,"5.78":0.2388762429,"5.79":0.2221208378,"5.8":0.206492686,"5.8100000000000005":0.1920273342,"5.82":0.1787359944,"5.83":0.1666062011,"5.84":0.1556032787,"5.8500000000000005":0.14567257,"5.86":0.1367423439,"5.87":0.1287272683,"5.88":0.1215323117,"5.89":0.1150569142,"5.9":0.1091992614,"5.91":0.1038604861,"5.92":0.0989486301,"5.93":0.0943822055,"5.94":0.0900932181,"5.95":0.086029534,"5.96":0.0821565042,"5.97":0.0784577926,"5.98":0.0749353856,"5.99":0.0716088004,"6.0":0.0685135372,"6.01":0.0656988562,"6.0200000000000005":0.0632249828,"6.03":0.0611598689,"6.04":0.0595756505,"6.05":0.0585449543,"6.0600000000000005":0.0581372037,"6.07":0.0584150743,"6.08":0.0594312361,"6.09":0.0612255028,"6.1000000000000005":0.0638224911,"6.11":0.0672298655,"6.12":0.0714372208,"6.13":0.0764156251,"6.140000000000001":0.0821178216,"6.15":0.0884790615,"6.16":0.0954185173,"6.17":0.1028412072,"6.18":0.1106403464,"6.19":0.1187000307,"6.2":0.1268981498,"6.21":0.1351094296,"6.22":0.1432085015,"6.23":0.1510729065,"6.24":0.1585859489,"6.25":0.1656393275,"6.26":0.1721354837,"6.2700000000000005":0.1779896226,"6.28":0.1831313739,"6.29":0.1875060745,"6.3":0.1910756649,"6.3100000000000005":0.1938192043,"6.32":0.195733013,"6.33":0.1968304614,"6.34":0.1971414262,"6.3500000000000005":0.1967114362,"6.36":0.195600535,"6.37":0.193881883,"6.38":0.1916401245,"6.390000000000001":0.1889695431,"6.4":0.1859720305,"6.41":0.1827548916,"6.42":0.1794285157,"6.43":0.1761039401,"6.44":0.1728903441,"6.45":0.1698925093,"6.46":0.1672082944,"6.47":0.1649261753,"6.48":0.1631229087,"6.49":0.1618613818,"6.5":0.1611887168,"6.51":0.1611346973,"6.5200000000000005":0.1617105853,"6.53":0.1629083933,"6.54":0.1647006675,"6.55":0.1670408284,"6.5600000000000005":0.1698641013,"6.57":0.1730890505,"6.58":0.1766197128,"6.59":0.1803483021,"6.6000000000000005":0.184158437,"6.61":0.1879288157,"6.62":0.1915372455,"6.63":0.194864909,"6.640000000000001":0.1978007375,"6.65":0.2002457438,"6.66":0.2021171635,"6.67":0.2033522497,"6.68":0.2039115694,"6.69":0.2037816636,"6.7":0.202976946,"6.71":0.2015407411,"6.72":0.1995453887,"6.73":0.1970913746,"6.74":0.1943054816,"6.75":0.1913379933,"6.76":0.1883590173,"6.7700000000000005":0.1855540336,"6.78":0.1831188013,"6.79":0.1812537906,"6.8":0.1801583224,"6.8100000000000005":0.1800246187,"6.82":0.1810319708,"6.83":0.183341231,"6.84":0.1870898272,"6.8500000000000005":0.1923874782,"6.86":0.1993127657,"6.87":0.207910684,"6.88":0.2181912544,"6.890000000000001":0.2301292468,"6.9":0.2436650111,"6.91":0.258706375,"6.92":0.2751315229,"6.93":0.2927927347,"6.94":0.311520825,"6.95":0.3311301022,"6.96":0.3514236418,"6.97":0.3721986626,"6.98":0.3932517905,"6.99":0.4143840039,"7.0":0.4354050712,"7.01":0.4561373157,"7.0200000000000005":0.4764185773,"7.03":0.4961042771,"7.04":0.5150685328,"7.05":0.5332043199,"7.0600000000000005":0.5504227152,"7.07":0.5666513037,"7.08":0.5818318689,"7.09":0.5959175201,"7.1000000000000005":0.6088694361,"7.11":0.620653424,"7.12":0.6312364996,"7.13":0.6405836972,"7.140000000000001":0.6486553036,"7.15":0.6554046941,"7.16":0.6607769185,"7.17":0.6647081514,"7.18":0.6671260772,"7.19":0.6679512389,"7.2":0.6670993293,"7.21":0.664484358,"7.22":0.6600225825,"7.23":0.65363705,"7.24":0.6452625641,"7.25":0.6348508595,"7.26":0.6223757556,"7.2700000000000005":0.6078380441,"7.28":0.5912698748,"7.29":0.572738411,"7.3":0.5523485497,"7.3100000000000005":0.530244534,"7.32":0.5066103224,"7.33":0.4816686272,"7.34":0.455678583,"7.3500000000000005":0.4289320592,"7.36":0.4017486851,"7.37":0.3744697054,"7.38":0.3474508329,"7.390000000000001":0.3210543071,"7.4":0.2956404022,"7.41":0.2715586508,"7.42":0.2491390711,"7.43":0.2286836827,"7.44":0.2104585975,"7.45":0.1946869515,"7.46":0.1815429182,"7.47":0.1711470081,"7.48":0.1635628187,"7.49":0.1587953449,"7.5":0.1567909129,"7.51":0.1574387403,"7.5200000000000005":0.1605740729,"7.53":0.1659827949,"7.54":0.1734073594,"7.55":0.1825538448,"7.5600000000000005":0.193099904,"7.57":0.2047033504,"7.58":0.217011103,"7.59":0.2296682082,"7.6000000000000005":0.2423266583,"7.61":0.2546537387,"7.62":0.2663396574,"7.63":0.2771042432,"7.640000000000001":0.2867025329,"7.65":0.2949291128,"7.66":0.3016211258,"7.67":0.3066599029,"7.68":0.3099712271,"7.69":0.3115242845,"7.7":0.3113293998,"7.71":0.3094346918,"7.72":0.3059218175,"7.73":0.3009009958,"7.74":0.2945055212,"7.75":0.2868859831,"7.76":0.2779116672,"7.7700000000000005":0.2675601061,"7.78":0.2568413561,"7.79":0.2459301311,"7.8":0.2349864773,"7.8100000000000005":0.2241521331,"7.82":0.2129724993,"7.83":0.201266991,"7.84":0.1896259899,"7.8500000000000005":0.1781243009,"7.86":0.1668195808,"7.87":0.155753744,"7.88":0.1449549573,"7.890000000000001":0.1344401025,"7.9":0.1242175668,"7.91":0.1142902212,"7.92":0.1046584477,"7.930000000000001":0.0953230806,"7.94":0.0862881412,"7.95":0.0775632624,"7.96":0.0691657153,"7.97":0.0611219738,"7.98":0.0534687776,"7.99":0.0462536716,"8.0":0.039535027,"8.01":0.0333815662,"8.02":0.0278714306,"8.03":0.0230908475,"8.040000000000001":0.0191324593,"8.05":0.016093387,"8.06":0.014073103,"8.07":0.0131711848,"8.08":0.013485022,"8.09":0.015107537,"8.1":0.0181249741,"8.11":0.0226148022,"8.120000000000001":0.0286437627,"8.13":0.0362660859,"8.14":0.0455218887,"8.15":0.0564357589,"8.16":0.0690155227,"8.17":0.0832511919,"8.18":0.0991140803,"8.19":0.1165560854,"8.2":0.1355091301,"8.21":0.1558847646,"8.22":0.1775739376,"8.23":0.2004469504,"8.24":0.224353614,"8.25":0.2491236405,"8.26":0.2745672997,"8.27":0.3004763791,"8.28":0.3266254866,"8.290000000000001":0.3527737304,"8.3":0.3786668094,"8.31":0.4040395363,"8.32":0.4286188056,"8.33":0.4521270034,"8.34":0.4742858409,"8.35":0.4948205727,"8.36":0.5134645435,"8.370000000000001":0.5299639862,"8.38":0.5440829766,"8.39":0.5556084316,"8.4":0.5643550267,"8.41":0.5701698946,"8.42":0.572936965,"8.43":0.572580801,"8.44":0.569069796,"8.45":0.562418601,"8.46":0.5526896716,"8.47":0.539993842,"8.48":0.5244898597,"8.49":0.5063828425,"8.5":0.4859216528,"8.51":0.4633952137,"8.52":0.4391278289,"8.53":0.4134735983,"8.540000000000001":0.3868100512,"8.55":0.3595311469,"8.56":0.3320398148,"8.57":0.3047402213,"8.58":0.2780299621,"8.59":0.2522923837,"8.6":0.2278892325,"8.61":0.2051538226,"8.620000000000001":0.1843848963,"8.63":0.1658413291,"8.64":0.1497378055,"8.65":0.1362415608,"8.66":0.1254702501,"8.67":0.1174909723,"8.68":0.1123204412,"8.69":0.1099262624,"8.700000000000001":0.1102292428,"8.71":0.1131066345,"8.72":0.1183961863,"8.73":0.1259008648,"8.74":0.1353940872,"8.75":0.1466253084,"8.76":0.1593257977,"8.77":0.1732144509,"8.78":0.1880034883,"8.790000000000001":0.2034039082,"8.8":0.2191305802,"8.81":0.2349068838,"8.82":0.2504688219,"8.83":0.2655685588,"8.84":0.2799773579,"8.85":0.2934879129,"8.86":0.3059160869,"8.870000000000001":0.317102091,"8.88":0.3269111454,"8.89":0.3352336778,"8.9":0.3419851187,"8.91":0.3471053579,"8.92":0.3505579239,"8.93":0.3523289469,"8.94":0.3524259589,"8.950000000000001":0.3508765788,"8.96":0.3477271205,"8.97":0.3430411541,"8.98":0.3368980429,"8.99":0.3293914674,"9.0":0.320627945,"9.01":0.310725346,"9.02":0.2998114031,"9.03":0.2880222112,"9.040000000000001":0.2755007121,"9.05":0.262395161,"9.06":0.2488575756,"9.07":0.2350421684,"9.08":0.2211037718,"9.09":0.2071962657,"9.1":0.1934710233,"9.11":0.1800753936,"9.120000000000001":0.1671512424,"9.13":0.154833572,"9.14":0.1432492432,"9.15":0.1325158191,"9.16":0.1227405475,"9.17":0.1140194966,"9.18":0.1064368508,"9.19":0.1000643696,"9.200000000000001":0.0949610073,"9.21":0.0911726834,"9.22":0.0887321899,"9.23":0.0876592179,"9.24":0.0879604808,"9.25":0.0896299121,"9.26":0.092648914,"9.27":0.096986635,"9.28":0.1026002591,"9.290000000000001":0.1094352906,"9.3":0.1174258295,"9.31":0.126494832,"9.32":0.1365543655,"9.33":0.1475058672,"9.34":0.1592404285,"9.35":0.1716391275,"9.36":0.1845734404,"9.370000000000001":0.1979057648,"9.38":0.211490086,"9.39":0.2251728204,"9.4":0.2387938646,"9.41":0.2521878732,"9.42":0.2651857826,"9.43":0.2776165885,"9.44":0.2893093739,"9.450000000000001":0.3000955743,"9.46":0.3098114558,"9.47":0.3183007682,"9.48":0.3254175266,"9.49":0.331028864,"9.5":0.3350178905,"9.51":0.3372864851,"9.52":0.337757948,"9.53":0.3363794322,"9.540000000000001":0.3331240808,"9.55":0.3279927959,"9.56":0.3210155722,"9.57":0.3122523368,"9.58":0.3017932471,"9.59":0.2897584102,"9.6":0.276297001,"9.61":0.2615857715,"9.620000000000001":0.2458269561,"9.63":0.2292455961,"9.64":0.2120863172,"9.65":0.1946096125,"9.66":0.1770876914,"9.67":0.1597999691,"9.68":0.1430282823,"9.69":0.1270519201,"9.700000000000001":0.1121425709,"9.71":0.0985592852,"9.72":0.0865435604,"9.73":0.0763146478,"9.74":0.0680651867,"9.75":0.0619572588,"9.76":0.0581189542,"9.77":0.0566415303,"9.78":0.0575772333,"9.790000000000001":0.060937841,"9.8":0.0666939728,"9.81":0.0747751935,"9.82":0.0850709272,"9.83":0.0974321755,"9.84":0.1116740183,"9.85":0.1275788589,"9.86":0.1449003544,"9.870000000000001":0.1633679603,"9.88":0.1826919954,"9.89":0.2025691274,"9.9":0.2226881595,"9.91":0.2427359951,"9.92":0.2624036468,"9.93":0.2813921554,"9.94":0.299418284,"9.950000000000001":0.3162198566,"9.96":0.3315606181,"9.97":0.3452345049,"9.98":0.3570692318,"9.99":0.3669291147,"10.0":0.3747170756,"10.01":0.3803757933,"10.02":0.3838879919,"10.03":0.3852758792,"10.040000000000001":0.384599775,"10.05":0.3819559877,"10.06":0.3774740197,"10.07":0.3713132004,"10.08":0.3636588543,"10.09":0.3547181257,"10.1":0.344715583,"10.11":0.3338887255,"10.120000000000001":0.3224835108,"10.13":0.3107500123,"10.14":0.2989383007,"10.15":0.2872946292,"10.16":0.2760579804,"10.17":0.2654570149,"10.18":0.255707438,"10.19":0.2470097831,"10.200000000000001":0.2395475899,"10.21":0.2334859389,"10.22":0.2289702949,"10.23":0.2261255982,"10.24":0.2250555434,"10.25":0.2258419833,"10.26":0.2285444029,"10.27":0.2331994164,"10.28":0.2398202564,"10.290000000000001":0.2483962388,"10.3":0.2588922065,"10.31":0.2712479734,"10.32":0.2853778124,"10.33":0.3011700419,"10.34":0.3184867886,"10.35":0.337164006,"10.36":0.3570118405,"10.370000000000001":0.3778154352,"10.38":0.3993362533,"10.39":0.4213139972,"10.4":0.4434691759,"10.41":0.4655063567,"10.42":0.4871181065,"10.43":0.507989599,"10.44":0.5278038346,"10.450000000000001":0.5462473837,"10.46":0.5630165363,"10.47":0.5778237104,"10.48":0.5904039486,"10.49":0.6005213122,"10.5":0.6079749733,"10.51":0.6126047967,"10.52":0.6142962117,"10.53":0.6129841836,"10.540000000000001":0.6086561155,"10.55":0.6013535401,"10.56":0.5911724951,"10.57":0.5782625167,"10.58":0.5628242291,"10.59":0.5451055565,"10.6":0.5253966275,"10.61":0.5040234913,"10.620000000000001":0.4813408057,"10.63":0.4577236924,"10.64":0.4335589893,"10.65":0.4092361502,"10.66":0.3851380569,"10.67":0.3616320139,"10.68":0.339061192,"10.69":0.3177367717,"10.700000000000001":0.2979310167,"10.71":0.2798714752,"10.72":0.2637364726,"10.73":0.2496520125,"10.74":0.2376901629,"10.75":0.2278689517,"10.76":0.2201537509,"10.77":0.2144600824,"10.78":0.2106577346,"10.790000000000001":0.2085760425,"10.8":0.20801015,"10.81":0.2087280498,"10.82":0.2104781752,"10.83":0.2129973125,"10.84":0.2160185939,"10.85":0.2192793425,"10.86":0.2225285469,"10.870000000000001":0.2255337657,"10.88":0.2280872828,"10.89":0.2300113632,"10.9":0.2311624906,"10.91":0.2314344995,"10.92":0.2307605511,"10.93":0.2291139328,"10.94":0.226507698,"10.950000000000001":0.22299319,"10.96":0.2186575254,"10.97":0.2136201347,"10.98":0.2080284826,"10.99":0.202053106,"11.0":0.1958821203,"11.01":0.189715358,"11.02":0.1837583052,"11.03":0.1782160035,"11.040000000000001":0.1732870836,"11.05":0.1691580886,"11.06":0.1659982353,"11.07":0.1639547487,"11.08":0.1631488884,"11.09":0.163672764,"11.1":0.1655870188,"11.11":0.1689194338,"11.120000000000001":0.1736644787,"11.13":0.1797838136,"11.14":0.1872077131,"11.15":0.1958373624,"11.16":0.2055479451,"11.17":0.216192422,"11.18":0.227605876,"11.19":0.239610281,"11.200000000000001":0.2520195375,"11.21":0.2646446101,"11.22":0.2772985946,"11.23":0.2898015475,"11.24":0.3019849153,"11.25":0.3136954163,"11.26":0.3247982453,"11.27":0.3351794989,"11.28":0.3447477442,"11.290000000000001":0.3534346907,"11.3":0.3611949581,"11.31":0.3680049685,"11.32":0.3738610307,"11.33":0.3787767142,"11.34":0.3827796438,"11.35":0.385907871,"11.36":0.3882059965,"11.370000000000001":0.3897212307,"11.38":0.3904995846,"11.39":0.3905823754,"11.4":0.3900032214,"11.41":0.3887856765,"11.42":0.3869416278,"11.43":0.3844705414,"11.44":0.3813596056,"11.450000000000001":0.3775847717,"11.46":0.3731126533,"11.47":0.367903197,"11.48":0.3619130007,"11.49":0.3550991173,"11.5":0.3474231546,"11.51":0.338855463,"11.52":0.3293791902,"11.53":0.3189939859,"11.540000000000001":0.3077191473,"11.55":0.2955960197,"11.56":0.2826894979,"11.57":0.2690885113,"11.58":0.2549054253,"11.59":0.24027434,"11.6":0.2253483189,"11.61":0.2102956362,"11.620000000000001":0.1952951773,"11.63":0.180531173,"11.64":0.1661874819,"11.65":0.152441666,"11.66":0.1394591142,"11.67":0.1273874776,"11.68":0.1163516672,"11.69":0.1064496456,"11.700000000000001":0.0977492114,"11.71":0.0902859309,"11.72":0.0840623256,"11.73":0.0790483626,"11.74":0.0751832397,"11.75":0.0723783987,"11.76":0.0705216391,"11.77":0.0694821609,"11.78":0.0691163158,"11.790000000000001":0.0692738173,"11.8":0.0698041383,"11.81":0.070562816,"11.82":0.0714173908,"11.83":0.0722527208,"11.84":0.0729754475,"11.85":0.0735174268,"11.86":0.0738379882,"11.870000000000001":0.0739249434,"11.88":0.073794322,"11.89":0.0734888723,"11.9":0.0730754215,"11.91":0.0726412438,"11.92":0.0722896248,"11.93":0.0721348477,"11.94":0.0722968486,"11.950000000000001":0.0728957971,"11.96":0.0740468566,"11.97":0.0758553626,"11.98":0.0784126307,"11.99":0.0817925676,"12.0":0.086049215,"12.01":0.0912153028,"12.02":0.0973018366,"12.030000000000001":0.1042986905,"12.040000000000001":0.1121761218,"12.05":0.120887084,"12.06":0.1303701716,"12.07":0.1405530047,"12.08":0.1513558433,"12.09":0.1626952154,"12.1":0.17448735,"12.11":0.1866512222,"12.120000000000001":0.1991110483,"12.13":0.2117981028,"12.14":0.2246517729,"12.15":0.2376198143,"12.16":0.2506578199,"12.17":0.2637279597,"12.18":0.2767970947,"12.19":0.2898344049,"12.200000000000001":0.3028086998,"12.21":0.3156855986,"12.22":0.3284247794,"12.23":0.3409774878,"12.24":0.3532844884,"12.25":0.3652746143,"12.26":0.3768640395,"12.27":0.3879563579,"12.280000000000001":0.398443511,"12.290000000000001":0.4082075554,"12.3":0.4171232194,"12.31":0.4250611511,"12.32":0.4318917214,"12.33":0.4374892169,"12.34":0.4417362298,"12.35":0.4445280446,"12.36":0.4457768135,"12.370000000000001":0.4454153262,"12.38":0.4434001925,"12.39":0.4397142902,"12.4":0.4343683594,"12.41":0.4274016704,"12.42":0.4188817327,"12.43":0.4089030615,"12.44":0.397585058,"12.450000000000001":0.3850691043,"12.46":0.3715150046,"12.47":0.3570969351,"12.48":0.3419990801,"12.49":0.3264111446,"12.5":0.3105239297,"12.51":0.2945251473,"12.52":0.2785956351,"12.530000000000001":0.2629061,"12.540000000000001":0.2476144905,"12.55":0.2328640605,"12.56":0.2187821469,"12.57":0.2054796469,"12.58":0.1930511436,"12.59":0.1815755987,"12.6":0.1711175019,"12.61":0.1617283516,"12.620000000000001":0.1534483286,"12.63":0.1463080241,"12.64":0.1403300879,"12.65":0.1355306789,"12.66":0.1319206198,"12.67":0.1295061829,"12.68":0.1282894686,"12.69":0.1282683632,"12.700000000000001":0.1294361015,"12.71":0.1317804841,"12.72":0.1352828296,"12.73":0.1399167582,"12.74":0.1456469229,"12.75":0.1524278059,"12.76":0.1602027026,"12.77":0.168903002,"12.780000000000001":0.1784478608,"12.790000000000001":0.1887443451,"12.8":0.199688088,"12.81":0.2111644794,"12.82":0.2230503759,"12.83":0.2352162846,"12.84":0.2475289469,"12.85":0.2598542221,"12.86":0.2720601506,"12.870000000000001":0.2840200614,"12.88":0.2956155837,"12.89":0.3067394213,"12.9":0.3172977582,"12.91":0.3272121781,"12.92":0.3364210048,"12.93":0.3448799949,"12.94":0.3525623472,"12.950000000000001":0.3594580267,"12.96":0.3655724322,"12.97":0.3709244713,"12.98":0.375544134,"12.99":0.3794696821,"13.0":0.3827445882,"13.01":0.3854143712,"13.02":0.3875234807,"13.030000000000001":0.3891123774,"13.040000000000001":0.3902149483,"13.05":0.3908563767,"13.06":0.3910515667,"13.07":0.3908041911,"13.08":0.3901064054,"13.09":0.3889392328,"13.1":0.3872736001,"13.11":0.385071968,"13.120000000000001":0.3822904749,"13.13":0.378881491,"13.14":0.3747964608,"13.15":0.3699889003,"13.16":0.3644174141,"13.17":0.3580485941,"13.18":0.3508596747,"13.19":0.3428408302,"13.200000000000001":0.3339970201,"13.21":0.3243493108,"13.22":0.3139356252,"13.23":0.3028109009,"13.24":0.2910466619,"13.25":0.2787300334,"13.26":0.265962252,"13.27":0.2528567434,"13.280000000000001":0.239536852,"13.290000000000001":0.2261333193,"13.3":0.2127816108,"13.31":0.1996191931,"13.32":0.1867828572,"13.33":0.1744061768,"13.34":0.1626171779,"13.35":0.1515362811,"13.36":0.1412745638,"13.370000000000001":0.1319323713,"13.38":0.1235982888,"13.39":0.1163484727,"13.4":0.1102463232,"13.41":0.1053424701,"13.42":0.1016750335,"13.43":0.0992701143,"13.44":0.0981424679,"13.450000000000001":0.0982963099,"13.46":0.0997262076,"13.47":0.1024180118,"13.48":0.1063497908,"13.49":0.1114927322,"13.5":0.1178119863,"13.51":0.1252674323,"13.52":0.1338143531,"13.530000000000001":0.1434040109,"13.540000000000001":0.1539841235,"13.55":0.1654992397,"13.56":0.1778910225,"13.57":0.1910984424,"13.58":0.205057894,"13.59":0.2197032394,"13.6":0.234965793,"13.61":0.2507742524,"13.620000000000001":0.2670545891,"13.63":0.2837299069,"13.64":0.3007202818,"13.65":0.317942595,"13.66":0.3353103751,"13.67":0.3527336664,"13.68":0.3701189433,"13.69":0.3873690922,"13.700000000000001":0.4043834836,"13.71":0.42105816,"13.72":0.4372861608,"13.73":0.4529580082,"13.74":0.467962372,"13.75":0.4821869271,"13.76":0.4955194104,"13.77":0.507848879,"13.780000000000001":0.5190671565,"13.790000000000001":0.529070451,"13.8":0.5377611128,"13.81":0.5450494925,"13.82":0.5508558488,"13.83":0.5551122498,"13.84":0.5577644018,"13.85":0.5587733386,"13.86":0.5581169026,"13.870000000000001":0.5557909496,"13.88":0.5518102177,"13.89":0.5462088044,"13.9":0.5390402142,"13.91":0.530376946,"13.92":0.5203096111,"13.93":0.5089455882,"13.94":0.49640724,"13.950000000000001":0.4828297339,"13.96":0.4683585268,"13.97":0.4531465883,"13.98":0.4373514488,"13.99":0.4211321671,"14.0":0.4046463181,"14.01":0.3880470999,"14.02":0.3714806569,"14.030000000000001":0.3550837063,"14.040000000000001":0.3389815442,"14.05":0.3232864901,"14.06":0.3080968117,"14.07":0.2934961507,"14.08":0.2795534493,"14.09":0.2663233548,"14.1":0.253847062,"14.11":0.2421535312,"14.120000000000001":0.2312610081,"14.13":0.2211787588,"14.14":0.2119089239,"14.15":0.2034483973,"14.16":0.1957906327,"14.17":0.1889272895,"14.18":0.1828496404,"14.19":0.1775496764,"14.200000000000001":0.1730208615,"14.21":0.1692585106,"14.22":0.1662597815,"14.23":0.1640232953,"14.24":0.1625484144,"14.25":0.16183423,"14.26":0.1618783215,"14.27":0.1626753638,"14.280000000000001":0.1642156646,"14.290000000000001":0.1664837195,"14.3":0.1694568691,"14.31":0.173104138,"14.32":0.1773853296,"14.33":0.1822504343,"14.34":0.1876393958,"14.35":0.1934822664,"14.36":0.1996997589,"14.370000000000001":0.2062041902,"14.38":0.2129007914,"14.39":0.2196893452,"14.4":0.2264660954,"14.41":0.2331258659,"14.42":0.2395643143,"14.43":0.2456802437,"14.44":0.2513778934,"14.450000000000001":0.2565691307,"14.46":0.2611754709,"14.47":0.2651298612,"14.48":0.2683781714,"14.49":0.2708803471,"14.5":0.2726111942,"14.51":0.2735607727,"14.52":0.2737343955,"14.530000000000001":0.2731522369,"14.540000000000001":0.2718485676,"14.55":0.2698706442,"14.56":0.2672772892,"14.57":0.2641372057,"14.58":0.2605270748,"14.59":0.2565294895,"14.6":0.2522307806,"14.61":0.247718791,"14.620000000000001":0.2430806548,"14.63":0.2384006357,"14.64":0.2337580774,"14.65":0.2292255161,"14.66":0.2248669987,"14.67":0.2207366504,"14.68":0.216877524,"14.69":0.2133207644,"14.700000000000001":0.2100851083,"14.71":0.2071767381,"14.72":0.2045894966,"14.73":0.202305464,"14.74":0.2002958867,"14.75":0.198522441,"14.76":0.1969388019,"14.77":0.1954924808,"14.780000000000001":0.1941268818,"14.790000000000001":0.1927835227,"14.8":0.1914043539,"14.81":0.1899341049,"14.82":0.1883225833,"14.83":0.1865268457,"14.84":0.1845131654,"14.85":0.1822587198,"14.86":0.1797529289,"14.870000000000001":0.1769983862,"14.88":0.174011332,"14.89":0.1708216383,"14.9":0.1674722867,"14.91":0.1640183423,"14.92":0.1605254447,"14.93":0.157067857,"14.94":0.1537261314,"14.950000000000001":0.1505844698,"14.96":0.1477278683,"14.97":0.1452391518,"14.98":0.1431960054,"14.99":0.1416681206,"15.0":0.1407145649,"15.01":0.1403815063,"15.02":0.140700328,"15.030000000000001":0.1416862302,"15.040000000000001":0.1433374471,"15.05":0.1456350513,"15.06":0.1485433785,"15.07":0.1520110598,"15.08":0.1559726258,"15.09":0.1603506222,"15.1":0.1650581551,"15.11":0.1700017654,"15.120000000000001":0.1750845182,"15.13":0.1802091863,"15.14":0.1852813985,"15.15":0.1902126319,"15.16":0.19492293,"15.17":0.199343244,"15.18":0.2034173118,"15.19":0.2071030093,"15.200000000000001":0.2103731347,"15.21":0.2132156098,"15.22":0.2156331081,"15.23":0.2176421478,"15.24":0.2192717046,"15.25":0.2205614247,"15.26":0.2215595287,"15.27":0.2223205122,"15.280000000000001":0.2229027498,"15.290000000000001":0.2233661133,"15.3":0.2237697063,"15.31":0.2241698089,"15.32":0.2246181113,"15.33":0.2251602979,"15.34":0.2258350213,"15.35":0.2266732865,"15.36":0.2276982428,"15.370000000000001":0.2289253597,"15.38":0.230362947,"15.39":0.2320129602,"15.4":0.2338720252,"15.41":0.2359326051,"15.42":0.2381842305,"15.43":0.2406147182,"15.44":0.2432113055,"15.450000000000001":0.2459616406,"15.46":0.2488545808,"15.47":0.2518807649,"15.48":0.2550329442,"15.49":0.2583060707,"15.5":0.26169716,"15.51":0.2652049564,"15.52":0.268829443,"15.530000000000001":0.2725712465,"15.540000000000001":0.2764309892,"15.55":0.2804086453,"15.56":0.2845029526,"15.57":0.2887109264,"15.58":0.2930275114,"15.59":0.2974453969,"15.6":0.3019550069,"15.610000000000001":0.3065446635,"15.620000000000001":0.3112009067,"15.63":0.3159089439,"15.64":0.3206531908,"15.65":0.3254178566,"15.66":0.3301875256,"15.67":0.3349476833,"15.68":0.339685139,"15.69":0.3443883047,"15.700000000000001":0.3490472974,"15.71":0.3536538454,"15.72":0.3582009925,"15.73":0.3626826078,"15.74":0.367092725,"15.75":0.3714247474,"15.76":0.3756705663,"15.77":0.3798196504,"15.780000000000001":0.3838581683,"15.790000000000001":0.3877682091,"15.8":0.391527162,"15.81":0.3951073128,"15.82":0.3984757016,"15.83":0.4015942747,"15.84":0.4044203497,"15.85":0.4069073915,"15.860000000000001":0.4090060837,"15.870000000000001":0.4106656578,"15.88":0.4118354313,"15.89":0.4124664876,"15.9":0.4125134244,"15.91":0.4119360872,"15.92":0.410701206,"15.93":0.4087838525,"15.94":0.4061686453,"15.950000000000001":0.4028506405,"15.96":0.3988358588,"15.97":0.394141422,"15.98":0.3887952872,"15.99":0.3828355908,"16.0":0.376309633,"16.01":0.3692725532,"16.02":0.3617857622,"16.03":0.3539152106,"16.04":0.3457295805,"16.05":0.3372984922,"16.06":0.3286908147,"16.07":0.3199731641,"16.080000000000002":0.3112086615,"16.09":0.3024560074,"16.1":0.293768911,"16.11":0.2851958906,"16.12":0.2767804415,"16.13":0.2685615431,"16.14":0.2605744589,"16.15":0.2528517621,"16.16":0.2454245071,"16.17":0.2383234567,"16.18":0.2315802678,"16.19":0.2252285416,"16.2":0.2193046483,"16.21":0.2138482471,"16.22":0.2089024409,"16.23":0.2045135202,"16.240000000000002":0.2007302789,"16.25":0.1976029049,"16.26":0.1951814746,"16.27":0.1935141056,"16.28":0.1926448421,"16.29":0.1926113661,"16.3":0.1934426422,"16.31":0.1951566122,"16.32":0.1977580573,"16.330000000000002":0.2012367462,"16.34":0.2055659732,"16.35":0.2107015814,"16.36":0.2165815425,"16.37":0.2231261445,"16.38":0.2302388095,"16.39":0.2378075395,"16.4":0.2457069571,"16.41":0.2538008841,"16.42":0.261945375,"16.43":0.2699921015,"16.44":0.2777919713,"16.45":0.28519885,"16.46":0.2920732515,"16.47":0.2982858664,"16.48":0.3037208,"16.490000000000002":0.3082784086,"16.5":0.3118776379,"16.51":0.3144577894,"16.52":0.3159796651,"16.53":0.3164260668,"16.54":0.3158016509,"16.55":0.3141321688,"16.56":0.3114631416,"16.57":0.3078580424,"16.580000000000002":0.3033960727,"16.59":0.2981696337,"16.6":0.2922815983,"16.61":0.285842492,"16.62":0.2789676887,"16.63":0.2717747167,"16.64":0.2643807618,"16.65":0.2569004363,"16.66":0.2494438659,"16.67":0.2421151288,"16.68":0.2350110597,"16.69":0.228220415,"16.7":0.2218233755,"16.71":0.215891352,"16.72":0.2104870429,"16.73":0.205664689,"16.740000000000002":0.2014704626,"16.75":0.1979429307,"16.76":0.1951135312,"16.77":0.1930070111,"16.78":0.1916417824,"16.79":0.1910301638,"16.8":0.1911784882,"16.81":0.1920870704,"16.82":0.1937500422,"16.830000000000002":0.1961550745,"16.84":0.1992830173,"16.85":0.2031074962,"16.86":0.2075945128,"16.87":0.2127020962,"16.88":0.2183800562,"16.89":0.2245698854,"16.9":0.2312048506,"16.91":0.2382103089,"16.92":0.2455042711,"16.93":0.2529982259,"16.94":0.2605982252,"16.95":0.2682062185,"16.96":0.2757216113,"16.97":0.2830430123,"16.98":0.2900701243,"16.990000000000002":0.2967057224,"17.0":0.3028576632,"17.01":0.308440858,"17.02":0.3133791486,"17.03":0.3176070207,"17.04":0.3210710977,"17.05":0.3237313622,"17.06":0.3255620608,"17.07":0.3265522593,"17.080000000000002":0.3267060254,"17.09":0.3260422275,"17.1":0.3245939544,"17.11":0.3224075671,"17.12":0.3195414125,"17.13":0.3160642344,"17.14":0.3120533305,"17.150000000000002":0.3075925114,"17.16":0.3027699222,"17.17":0.2976757955,"17.18":0.2924002036,"17.19":0.2870308787,"17.2":0.2816511687,"17.21":0.276338191,"17.22":0.2711612407,"17.23":0.2661805003,"17.240000000000002":0.2614460908,"17.25":0.2569974903,"17.26":0.2528633334,"17.27":0.2490615966,"17.28":0.2456001547,"17.29":0.242477686,"17.3":0.2396848876,"17.31":0.237205954,"17.32":0.2350202586,"17.330000000000002":0.2331041724,"17.34":0.2314329463,"17.35":0.229982581,"17.36":0.2287316071,"17.37":0.2276627002,"17.38":0.2267640612,"17.39":0.2260304989,"17.400000000000002":0.2254641642,"17.41":0.2250748965,"17.42":0.2248801589,"17.43":0.2249045541,"17.44":0.2251789325,"17.45":0.2257391176,"17.46":0.2266242946,"17.47":0.2278751213,"17.48":0.2295316347,"17.490000000000002":0.2316310385,"17.5":0.2342054633,"17.51":0.2372797956,"17.52":0.2408696739,"17.53":0.2449797431,"17.54":0.2496022528,"17.55":0.2547160719,"17.56":0.2602861772,"17.57":0.2662636535,"17.580000000000002":0.2725862257,"17.59":0.2791793169,"17.6":0.2859576072,"17.61":0.2928270455,"17.62":0.2996872452,"17.63":0.3064341785,"17.64":0.312963068,"17.650000000000002":0.3191713666,"17.66":0.3249617075,"17.67":0.3302447093,"17.68":0.3349415231,"17.69":0.33898602,"17.7":0.3423265296,"17.71":0.3449270612,"17.72":0.3467679582,"17.73":0.3478459619,"17.740000000000002":0.3481736856,"17.75":0.3477785263,"17.76":0.3467010622,"17.77":0.3449930107,"17.78":0.3427148377,"17.79":0.3399331232,"17.8":0.3367177999,"17.81":0.333139385,"17.82":0.3292663238,"17.830000000000002":0.3251625587,"17.84":0.3208854237,"17.85":0.3164839502,"17.86":0.3119976484,"17.87":0.3074558062,"17.88":0.3028773237,"17.89":0.298271075,"17.900000000000002":0.2936367652,"17.91":0.2889662291,"17.92":0.284245096,"17.93":0.2794547325,"17.94":0.2745743602,"17.95":0.2695832431,"17.96":0.2644628362,"17.97":0.2591987903,"17.98":0.2537827211,"17.990000000000002":0.2482136598,"18.0":0.242499124,"18.01":0.2366557629,"18.02":0.230709558,"18.03":0.2246955769,"18.04":0.2186573035,"18.05":0.2126455859,"18.06":0.2067172586,"18.07":0.2009335139,"18.080000000000002":0.1953581009,"18.09":0.1900554402,"18.1":0.1850887409,"18.11":0.1805182018,"18.12":0.1763993723,"18.13":0.1727817352,"18.14":0.1697075599,"18.150000000000002":0.1672110587,"18.16":0.1653178594,"18.17":0.1640447933,"18.18":0.1633999783,"18.19":0.1633831653,"18.2":0.1639863016,"18.21":0.16519426,"18.22":0.1669856738,"18.23":0.1693338196,"18.240000000000002":0.1722074923,"18.25":0.1755718205,"18.26":0.1793889836,"18.27":0.1836187994,"18.28":0.1882191665,"18.29":0.1931463594,"18.3":0.1983551853,"18.31":0.2037990276,"18.32":0.2094298083,"18.330000000000002":0.2151979113,"18.34":0.2210521129,"18.35":0.2269395678,"18.36":0.2328058951,"18.37":0.2385954066,"18.38":0.244251507,"18.39":0.2497172885,"18.400000000000002":0.2549363254,"18.41":0.2598536636,"18.42":0.2644169809,"18.43":0.2685778848,"18.44":0.2722932975,"18.45":0.2755268689,"18.46":0.2782503529,"18.47":0.2804448731,"18.48":0.2821020102,"18.490000000000002":0.28322464,"18.5":0.2838274647,"18.51":0.2839371862,"18.52":0.2835922868,"18.53":0.2828423983,"18.54":0.2817472585,"18.55":0.2803752726,"18.56":0.2788017159,"18.57":0.277106632,"18.580000000000002":0.2753724939,"18.59":0.2736817109,"18.6":0.2721140716,"18.61":0.2707442175,"18.62":0.2696392452,"18.63":0.2688565292,"18.64":0.2684418524,"18.650000000000002":0.2684279166,"18.66":0.2688332946,"18.67":0.2696618659,"18.68":0.2709027585,"18.69":0.272530802,"18.7":0.2745074737,"18.71":0.2767823029,"18.72":0.2792946806,"18.73":0.2819760038,"18.740000000000002":0.2847520775,"18.75":0.2875456813,"18.76":0.2902792096,"18.77":0.2928772893,"18.78":0.2952692825,"18.79":0.2973915887,"18.8":0.2991896712,"18.81":0.3006197426,"18.82":0.3016500595,"18.830000000000002":0.3022617942,"18.84":0.302449463,"18.85":0.3022209114,"18.86":0.3015968693,"18.87":0.3006101049,"18.88":0.2993042166,"18.89":0.2977321168,"18.900000000000002":0.2959542636,"18.91":0.294036707,"18.92":0.2920490156,"18.93":0.2900621525,"18.94":0.2881463657,"18.95":0.2863691553,"18.96":0.2847933722,"18.97":0.2834755008,"18.98":0.2824641632,"18.990000000000002":0.2817988809,"19.0":0.2815091163,"19.01":0.2816136098,"19.02":0.2821200192,"19.03":0.2830248607,"19.04":0.2843137421,"19.05":0.2859618738,"19.06":0.2879348374,"19.07":0.2901895841,"19.080000000000002":0.2926756348,"19.09":0.2953364476,"19.1":0.2981109167,"19.11":0.3009349639,"19.12":0.3037431846,"19.13":0.3064705058,"19.14":0.3090538187,"19.150000000000002":0.3114335436,"19.16":0.3135550908,"19.17":0.315370181,"19.18":0.3168379915,"19.19":0.3179261006,"19.2":0.3186112042,"19.21":0.3188795868,"19.22":0.3187273332,"19.23":0.3181602751,"19.240000000000002":0.3171936744,"19.25":0.3158516513,"19.26":0.3141663739,"19.27":0.3121770323,"19.28":0.3099286295,"19.29":0.3074706231,"19.3":0.3048554613,"19.31":0.3021370571,"19.32":0.2993692492,"19.330000000000002":0.296604295,"19.34":0.293891445,"19.35":0.2912756403,"19.36":0.2887963715,"19.37":0.2864867336,"19.38":0.2843727006,"19.39":0.2824726375,"19.400000000000002":0.2807970576,"19.41":0.2793486246,"19.42":0.2781223887,"19.43":0.2771062394,"19.44":0.2762815498,"19.45":0.2756239795,"19.46":0.2751044022,"19.47":0.2746899169,"19.48":0.2743449062,"19.490000000000002":0.2740320994,"19.5":0.2737136078,"19.51":0.2733518975,"19.52":0.2729106746,"19.53":0.272355662,"19.54":0.2716552542,"19.55":0.2707810437,"19.56":0.2697082194,"19.57":0.2684158427,"19.580000000000002":0.2668870139,"19.59":0.2651089429,"19.6":0.2630729442,"19.61":0.2607743734,"19.62":0.2582125263,"19.63":0.2553905162,"19.64":0.2523151441,"19.650000000000002":0.2489967733,"19.66":0.2454492132,"19.67":0.2416896147,"19.68":0.2377383733,"19.69":0.2336190329,"19.7":0.2293581788,"19.71":0.2249853072,"19.72":0.2205326571,"19.73":0.2160349889,"19.740000000000002":0.2115292988,"19.75":0.2070544579,"19.76":0.202650771,"19.77":0.1983594534,"19.78":0.1942220314,"19.79":0.1902796757,"19.8":0.1865724845,"19.81":0.1831387363,"19.82":0.180014139,"19.830000000000002":0.1772311014,"19.84":0.1748180582,"19.85":0.1727988767,"19.86":0.1711923737,"19.87":0.1700119654,"19.88":0.1692654711,"19.89":0.1689550807,"19.900000000000002":0.1690774946,"19.91":0.1696242312,"19.92":0.1705820924,"19.93":0.1719337699,"19.94":0.1736585658,"19.95":0.1757331981,"19.96":0.1781326547,"19.97":0.1808310587,"19.98":0.1838025073,"19.990000000000002":0.1870218455}} +{"0":{"1.5":1.4915844161,"1.51":1.4655357637,"1.52":1.4410598653,"1.53":1.4199260362,"1.54":1.4069042042,"1.55":1.3980762296,"1.56":1.3953511977,"1.57":1.3998334728,"1.58":1.4121987685,"1.59":1.4361191044,"1.6":1.4745822097,"1.61":1.5256186893,"1.62":1.5894465463,"1.6300000000000001":1.6667086055,"1.6400000000000001":1.7576591937,"1.6500000000000001":1.8621909409,"1.6600000000000001":1.9809630418,"1.67":2.1136632429,"1.68":2.2609010224,"1.69":2.4224051833,"1.7":2.5994017399,"1.71":2.7926374552,"1.72":3.0029834689,"1.73":3.2527080929,"1.74":3.5521021722,"1.75":3.8750784783,"1.76":4.2226039473,"1.77":4.5954302648,"1.78":4.9935612019,"1.79":5.4245739319,"1.8":5.9574202665,"1.81":6.5801295325,"1.82":7.2341800643,"1.83":7.9160251763,"1.84":8.6535351659,"1.85":9.4060479331,"1.86":10.1694157808,"1.87":10.9488586584,"1.8800000000000001":11.7156721953,"1.8900000000000001":12.472369257,"1.9000000000000001":13.2049034881,"1.9100000000000001":13.9030557701,"1.92":14.5502165669,"1.93":15.1418463851,"1.94":15.6647356973,"1.95":16.111338989,"1.96":16.4760464687,"1.97":16.750404266,"1.98":16.932200191,"1.99":17.0195110953,"2.0":17.0121505517,"2.0100000000000002":16.9116661847,"2.02":16.7209691489,"2.0300000000000002":16.4434303055,"2.04":16.088121758,"2.05":15.6612362766,"2.06":15.1698987888,"2.07":14.6247636339,"2.08":14.0310340538,"2.09":13.4036526278,"2.1":12.7477243389,"2.11":12.0759906769,"2.12":11.389682476,"2.13":10.7112852541,"2.14":10.0294721597,"2.15":9.3677075911,"2.16":8.721183025,"2.17":8.0844606427,"2.18":7.5137803452,"2.19":6.9526342393,"2.2":6.4027845956,"2.21":5.7390745904,"2.22":5.2901630565,"2.23":4.8540563322,"2.24":4.4330447327,"2.25":4.0285044782,"2.2600000000000002":3.640583336,"2.27":3.3325995898,"2.2800000000000002":3.0545253254,"2.29":2.7921731596,"2.3000000000000003":2.5408755922,"2.31":2.3083803712,"2.32":2.0950026733,"2.33":1.8944650468,"2.34":1.7144673684,"2.35":1.5377743546,"2.36":1.3853970065,"2.37":1.244813285,"2.38":1.1310590255,"2.39":1.0202482042,"2.4":0.90495485,"2.41":0.7815521151,"2.42":0.6707457048,"2.43":0.5522435982,"2.44":0.4249530892,"2.45":0.3070981622,"2.46":0.1865212233,"2.47":0.0724544836,"2.48":0.0175981053,"2.49":0.0,"2.5":0.0,"2.5100000000000002":0.0,"2.52":0.0,"2.5300000000000002":0.0,"2.54":0.0,"2.5500000000000003":0.0,"2.56":0.0,"2.57":0.0,"2.58":0.0,"2.59":0.0,"2.6":0.0,"2.61":0.0,"2.62":0.0,"2.63":0.0,"2.64":0.0,"2.65":0.0,"2.66":0.0,"2.67":0.0,"2.68":0.0,"2.69":0.0,"2.7":0.0,"2.71":0.0,"2.72":0.0,"2.73":0.0,"2.74":0.0,"2.75":0.0,"2.7600000000000002":0.0,"2.77":0.0,"2.7800000000000002":0.0,"2.79":0.0,"2.8000000000000003":0.0,"2.81":0.0,"2.82":0.0,"2.83":0.0,"2.84":0.0,"2.85":0.0,"2.86":0.0,"2.87":0.0,"2.88":0.0,"2.89":0.0,"2.9":0.0,"2.91":0.0,"2.92":0.0,"2.93":0.0,"2.94":0.0,"2.95":0.0291520789,"2.96":0.1813378914,"2.97":0.4143019188,"2.98":0.7378962202,"2.99":1.17946456,"3.0":1.7494437852,"3.0100000000000002":2.4527496651,"3.02":3.3041360897,"3.0300000000000002":4.3717604358,"3.04":5.6133816635,"3.0500000000000003":7.1454215693,"3.06":8.9051678471,"3.0700000000000003":10.8595028341,"3.08":13.0005484956,"3.09":15.3207385027,"3.1":17.7769453077,"3.11":20.3336507343,"3.12":22.9641092894,"3.13":25.6400678683,"3.14":28.3292604614,"3.15":31.0061300507,"3.16":33.5842724047,"3.17":35.9794020802,"3.18":38.2185367939,"3.19":40.2856920723,"3.2":42.142331263,"3.21":43.7577767471,"3.22":45.1013491878,"3.23":46.1503469277,"3.24":46.8873041067,"3.25":47.300346776,"3.2600000000000002":47.3834121748,"3.27":47.1363685587,"3.2800000000000002":46.5649629226,"3.29":45.6806314219,"3.3000000000000003":44.5002013911,"3.31":43.0454191632,"3.3200000000000003":41.342661845,"3.33":39.4228640501,"3.34":37.3189949856,"3.35":35.0525091847,"3.36":32.6079327256,"3.37":30.0517462391,"3.38":27.4688235012,"3.39":24.8790744541,"3.4":22.3192462834,"3.41":19.8223564151,"3.42":17.4120381359,"3.43":15.1175767754,"3.44":12.9577036248,"3.45":10.9553356061,"3.46":9.1214340755,"3.47":7.4737634947,"3.48":6.0206670556,"3.49":4.7619765605,"3.5":3.710932073,"3.5100000000000002":2.8577563247,"3.52":2.2183883162,"3.5300000000000002":1.7510960715,"3.54":1.4888274501,"3.5500000000000003":1.3535231006,"3.56":1.3350255593,"3.5700000000000003":1.4164255293,"3.58":1.5922869165,"3.59":1.850445289,"3.6":2.1842795785,"3.61":2.6281249894,"3.62":3.1480701535,"3.63":3.7398338692,"3.64":4.3766671039,"3.65":5.0473466292,"3.66":5.7343839248,"3.67":6.428266542,"3.68":7.1432397216,"3.69":7.853911361,"3.7":8.5445969038,"3.71":9.2322508615,"3.72":9.9325651615,"3.73":10.4542867911,"3.74":11.0455487023,"3.75":11.6450215362,"3.7600000000000002":12.2650414329,"3.77":12.9140522058,"3.7800000000000002":13.5584726492,"3.79":14.1074685361,"3.8000000000000003":14.5822862932,"3.81":14.9666935858,"3.8200000000000003":15.2209113786,"3.83":15.3259213312,"3.84":15.2703514586,"3.85":15.056155812,"3.86":14.6997121495,"3.87":14.2233862029,"3.88":13.6511446485,"3.89":13.0139180859,"3.9":12.3350551334,"3.91":11.5785853414,"3.92":10.8048391871,"3.93":10.0361705245,"3.94":9.2785469517,"3.95":8.5123226676,"3.96":7.7430687148,"3.97":6.9842268935,"3.98":6.3743449271,"3.99":5.6207640335,"4.0":4.8656600046,"4.01":4.1153275957,"4.0200000000000005":3.3758011281,"4.03":2.7183563097,"4.04":2.12858817,"4.05":1.5623304043,"4.0600000000000005":1.1028938383,"4.07":0.7097612147,"4.08":0.4010517239,"4.09":0.168147674,"4.1":0.0197271048,"4.11":0.0,"4.12":0.0,"4.13":0.0,"4.14":0.0,"4.15":0.0,"4.16":0.0,"4.17":0.0,"4.18":0.0,"4.19":0.0,"4.2":0.0,"4.21":0.0,"4.22":0.0,"4.23":0.0,"4.24":0.0,"4.25":0.0,"4.26":0.0,"4.2700000000000005":0.0,"4.28":0.0,"4.29":0.0,"4.3":0.0,"4.3100000000000005":0.0,"4.32":0.0,"4.33":0.0,"4.34":0.0,"4.3500000000000005":0.0,"4.36":0.0,"4.37":0.0,"4.38":0.0,"4.39":0.0,"4.4":0.0,"4.41":0.0,"4.42":0.0,"4.43":0.0,"4.44":0.0,"4.45":0.0,"4.46":0.0,"4.47":0.0676641197,"4.48":0.1871965154,"4.49":0.3115777683,"4.5":0.4255569388,"4.51":0.5309892242,"4.5200000000000005":0.616179473,"4.53":0.6736830579,"4.54":0.7014106905,"4.55":0.697796922,"4.5600000000000005":0.6601869391,"4.57":0.599045132,"4.58":0.5117051474,"4.59":0.4033129834,"4.6000000000000005":0.2907773569,"4.61":0.1908349831,"4.62":0.0895189421,"4.63":0.043839138,"4.64":0.0133104272,"4.65":0.0,"4.66":0.0,"4.67":0.0,"4.68":0.0,"4.69":0.0,"4.7":0.0,"4.71":0.0,"4.72":0.0,"4.73":0.0,"4.74":0.0,"4.75":0.0,"4.76":0.0,"4.7700000000000005":0.0,"4.78":0.0,"4.79":0.0,"4.8":0.0,"4.8100000000000005":0.0,"4.82":0.0161297578,"4.83":0.1055946414,"4.84":0.5168473947,"4.8500000000000005":0.9951171667,"4.86":1.5644607757,"4.87":2.166640898,"4.88":2.9621207632,"4.89":3.7844216779,"4.9":4.5151673704,"4.91":5.4244047994,"4.92":6.3547751334,"4.93":7.2718193433,"4.94":8.1781836225,"4.95":9.1147735164,"4.96":10.0264374305,"4.97":10.8962521199,"4.98":11.6825760522,"4.99":12.3629833149,"5.0":12.9288405761,"5.01":13.3732504856,"5.0200000000000005":13.6910879562,"5.03":13.8789573039,"5.04":13.9351607389,"5.05":13.8595859967,"5.0600000000000005":13.653550839,"5.07":13.3196179585,"5.08":12.8614343346,"5.09":12.2835129374,"5.1000000000000005":11.591018211,"5.11":10.7895663321,"5.12":9.8850866085,"5.13":8.8837142113,"5.14":7.8438792065,"5.15":6.7849416775,"5.16":5.6573686683,"5.17":4.5782012368,"5.18":3.6125237937,"5.19":2.755625329,"5.2":1.8961337832,"5.21":1.1638123606,"5.22":0.5944209351,"5.23":0.2082298151,"5.24":0.0135368375,"5.25":0.0,"5.26":0.0,"5.2700000000000005":0.0,"5.28":0.0,"5.29":0.0,"5.3":0.0,"5.3100000000000005":0.0,"5.32":0.0,"5.33":0.0,"5.34":0.0,"5.3500000000000005":0.0,"5.36":0.0,"5.37":0.0,"5.38":0.0,"5.39":0.0,"5.4":0.0,"5.41":0.0,"5.42":0.0,"5.43":0.0,"5.44":0.0759440714,"5.45":0.6387143445,"5.46":1.5099129248,"5.47":2.7245649102,"5.48":4.3246441853,"5.49":6.7687034548,"5.5":9.5928132189,"5.51":12.5600828997,"5.5200000000000005":15.6250857308,"5.53":18.7573057421,"5.54":21.8847337055,"5.55":24.9491113895,"5.5600000000000005":27.9007303118,"5.57":30.6947678027,"5.58":33.2888019518,"5.59":35.643517228,"5.6000000000000005":37.7224806384,"5.61":39.5108007221,"5.62":40.8844551723,"5.63":41.9234725859,"5.64":42.6178295358,"5.65":42.9642898126,"5.66":42.966451919,"5.67":42.6345763793,"5.68":41.985212786,"5.69":41.0406384136,"5.7":39.8281263714,"5.71":38.3790701373,"5.72":36.7280870658,"5.73":34.9118764189,"5.74":32.9017747548,"5.75":30.785517672,"5.76":28.6240534333,"5.7700000000000005":26.4421152539,"5.78":24.2746307181,"5.79":22.1516539739,"5.8":20.0906358672,"5.8100000000000005":18.09027338,"5.82":16.1839152849,"5.83":14.3809222463,"5.84":12.8664963027,"5.8500000000000005":11.6158401054,"5.86":10.541256548,"5.87":9.607201094,"5.88":8.8188467023,"5.89":8.2215906738,"5.9":7.6824889967,"5.91":7.2214047796,"5.92":6.8152841422,"5.93":6.4792813601,"5.94":6.2649855088,"5.95":6.067739269,"5.96":5.8459491747,"5.97":5.6058692332,"5.98":5.3426199656,"5.99":5.0511706145,"6.0":4.7275431782,"6.01":4.4131039373,"6.0200000000000005":4.063256932,"6.03":3.6668822496,"6.04":3.2363146669,"6.05":2.7842152462,"6.0600000000000005":2.2084893542,"6.07":1.6236838678,"6.08":1.020727525,"6.09":0.4206272479,"6.1000000000000005":0.0000426457,"6.11":0.0024175191,"6.12":0.0010746391,"6.13":0.0,"6.140000000000001":0.0,"6.15":0.0,"6.16":0.0,"6.17":0.0,"6.18":0.0,"6.19":0.0,"6.2":0.0,"6.21":0.0,"6.22":0.0,"6.23":0.0,"6.24":0.0,"6.25":0.0,"6.26":0.0,"6.2700000000000005":0.0,"6.28":0.0,"6.29":0.0,"6.3":0.0,"6.3100000000000005":0.0,"6.32":0.0,"6.33":0.0,"6.34":0.0,"6.3500000000000005":0.0,"6.36":0.0,"6.37":0.0096690824,"6.38":0.231944143,"6.390000000000001":0.6324627222,"6.4":1.1822531507,"6.41":1.8653853365,"6.42":2.5710354827,"6.43":3.2666526178,"6.44":3.9964273159,"6.45":4.7516503144,"6.46":5.4515601663,"6.47":6.1003810427,"6.48":6.6936966222,"6.49":7.2418910881,"6.5":7.7000758201,"6.51":8.0689564532,"6.5200000000000005":8.3558125159,"6.53":8.5614101748,"6.54":8.6936353787,"6.55":8.7625563374,"6.5600000000000005":8.7798085305,"6.57":8.7580993317,"6.58":8.7103091702,"6.59":8.6533313564,"6.6000000000000005":8.5990725994,"6.61":8.5578142271,"6.62":8.5397317218,"6.63":8.5538573793,"6.640000000000001":8.6067344725,"6.65":8.7030475134,"6.66":8.8502991356,"6.67":9.0454263105,"6.68":9.2830174145,"6.69":9.5584528936,"6.7":9.8652481596,"6.71":10.1953276398,"6.72":10.5394347872,"6.73":10.8872014922,"6.74":11.2401628668,"6.75":11.5905476676,"6.76":11.9084820001,"6.7700000000000005":12.1824402246,"6.78":12.4014549007,"6.79":12.5560934537,"6.8":12.6423407674,"6.8100000000000005":12.6435872007,"6.82":12.552521645,"6.83":12.3629795417,"6.84":12.0699770556,"6.8500000000000005":11.6697351079,"6.86":11.1612889638,"6.87":10.5499818736,"6.88":9.8307076626,"6.890000000000001":9.1276497748,"6.9":8.2320854094,"6.91":7.252794006,"6.92":6.1904576769,"6.93":5.1926651355,"6.94":4.1603542891,"6.95":3.1800460624,"6.96":2.2950052804,"6.97":1.5082350719,"6.98":0.8699436954,"6.99":0.3933909637,"7.0":0.0743099531,"7.01":0.0,"7.0200000000000005":0.0,"7.03":0.0,"7.04":0.0,"7.05":0.0,"7.0600000000000005":0.0,"7.07":0.0,"7.08":0.0,"7.09":0.0,"7.1000000000000005":0.0,"7.11":0.0,"7.12":0.0,"7.13":0.0,"7.140000000000001":0.0,"7.15":0.1546675247,"7.16":0.5452871354,"7.17":1.1008316874,"7.18":1.8274483697,"7.19":2.7362412069,"7.2":3.7670701923,"7.21":4.9858198628,"7.22":6.1905434841,"7.23":7.5707556967,"7.24":8.9591624968,"7.25":10.3844575428,"7.26":11.9527158626,"7.2700000000000005":13.3592583781,"7.28":14.6192470123,"7.29":15.6937689946,"7.3":16.5445608282,"7.3100000000000005":17.1828442363,"7.32":17.5787419728,"7.33":17.7421510602,"7.34":17.6730883896,"7.3500000000000005":17.3839207722,"7.36":16.8919521273,"7.37":16.2179383839,"7.38":15.3826502756,"7.390000000000001":14.4175059327,"7.4":13.3510476068,"7.41":12.2230436102,"7.42":11.0550458053,"7.43":9.8931509663,"7.44":8.6512196317,"7.45":7.5818037364,"7.46":6.5319990941,"7.47":5.6329504898,"7.48":4.8015731004,"7.49":4.000282414,"7.5":3.3401470434,"7.51":2.7384390943,"7.5200000000000005":2.1624041622,"7.53":1.635469563,"7.54":1.1857936899,"7.55":0.8112963388,"7.5600000000000005":0.5142686025,"7.57":0.2898452957,"7.58":0.1119497718,"7.59":0.0121568401,"7.6000000000000005":0.0,"7.61":0.0,"7.62":0.0,"7.63":0.0,"7.640000000000001":0.0,"7.65":0.0,"7.66":0.0,"7.67":0.0,"7.68":0.0,"7.69":0.0,"7.7":0.0,"7.71":0.0,"7.72":0.0,"7.73":0.0,"7.74":0.0,"7.75":0.0,"7.76":0.0,"7.7700000000000005":0.0,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0,"7.82":0.0,"7.83":0.0,"7.84":0.0,"7.8500000000000005":0.0,"7.86":0.0,"7.87":0.0,"7.88":0.0,"7.890000000000001":0.0,"7.9":0.0,"7.91":0.0,"7.92":0.0,"7.930000000000001":0.0,"7.94":0.0,"7.95":0.0,"7.96":0.0,"7.97":0.000002952,"7.98":0.0000059229,"7.99":0.3385541061,"8.0":0.7850497322,"8.01":1.2466048306,"8.02":1.6852310388,"8.03":2.0924063648,"8.040000000000001":2.4654222476,"8.05":2.8026567875,"8.06":3.1018935843,"8.07":3.3581738149,"8.08":3.5741853423,"8.09":3.7485665108,"8.1":3.879718697,"8.11":3.9654221757,"8.120000000000001":3.9907934424,"8.13":3.9028733338,"8.14":3.7534238408,"8.15":3.5458732794,"8.16":3.266160056,"8.17":2.986678702,"8.18":2.7977612646,"8.19":2.7140622798,"8.2":2.5768590538,"8.21":2.4967261995,"8.22":2.4995993802,"8.23":2.4946742031,"8.24":2.5073960056,"8.25":2.5061023485,"8.26":2.4618857605,"8.27":2.3824234674,"8.28":2.273551152,"8.290000000000001":2.1416258905,"8.3":1.9961273678,"8.31":1.8654189047,"8.32":1.75304309,"8.33":1.6573211193,"8.34":1.5896743154,"8.35":1.562038316,"8.36":1.5866126468,"8.370000000000001":1.6755956716,"8.38":1.8398793691,"8.39":2.090780867,"8.4":2.4727367787,"8.41":3.0123950809,"8.42":3.7444191791,"8.43":4.8121846732,"8.44":6.1263741925,"8.45":7.6505988628,"8.46":9.3868657616,"8.47":11.3034096441,"8.48":13.3792841934,"8.49":15.6201363058,"8.5":17.9814232917,"8.51":20.4454702007,"8.52":22.9800096219,"8.53":25.5354649209,"8.540000000000001":28.0773639454,"8.55":30.5625493176,"8.56":32.9520978747,"8.57":35.2082526427,"8.58":37.2984254013,"8.59":39.1947338696,"8.6":40.8765649509,"8.61":42.3095343817,"8.620000000000001":43.4688513883,"8.63":44.3414255174,"8.64":44.919419605,"8.65":45.2005038914,"8.66":45.1808289482,"8.67":44.8629534346,"8.68":44.296992241,"8.69":43.4778389475,"8.700000000000001":42.4286352277,"8.71":41.1534192302,"8.72":39.6908268383,"8.73":38.0669401981,"8.74":36.3084601905,"8.75":34.441785757,"8.76":32.4881757489,"8.77":30.4947395109,"8.78":28.4758699354,"8.790000000000001":26.4446541615,"8.8":24.4108310775,"8.81":22.3872106297,"8.82":20.3929212821,"8.83":18.4395023239,"8.84":16.5491563984,"8.85":14.8218745846,"8.86":13.10351545,"8.870000000000001":11.4703750831,"8.88":9.9033060346,"8.89":8.4556772135,"8.9":7.0950076317,"8.91":5.9223617988,"8.92":4.7886416964,"8.93":3.7709311881,"8.94":2.9028754221,"8.950000000000001":2.066916278,"8.96":1.4025253364,"8.97":0.8433922915,"8.98":0.4144156728,"8.99":0.1155683143,"9.0":0.0,"9.01":0.0,"9.02":0.0,"9.03":0.0,"9.040000000000001":0.0,"9.05":0.0,"9.06":0.0,"9.07":0.0,"9.08":0.0,"9.09":0.0,"9.1":0.0,"9.11":0.0,"9.120000000000001":0.0,"9.13":0.0,"9.14":0.0,"9.15":0.0,"9.16":0.0,"9.17":0.0,"9.18":0.0,"9.19":0.0,"9.200000000000001":0.0,"9.21":0.0,"9.22":0.0,"9.23":0.0,"9.24":0.0,"9.25":0.0,"9.26":0.0,"9.27":0.0,"9.28":0.0,"9.290000000000001":0.0,"9.3":0.0,"9.31":0.0,"9.32":0.0,"9.33":0.0,"9.34":0.0,"9.35":0.0,"9.36":0.0,"9.370000000000001":0.0,"9.38":0.0,"9.39":0.0,"9.4":0.0,"9.41":0.0,"9.42":0.0,"9.43":0.0,"9.44":0.0,"9.450000000000001":0.0,"9.46":0.0,"9.47":0.0,"9.48":0.0,"9.49":0.0,"9.5":0.0,"9.51":0.0,"9.52":0.0,"9.53":0.0,"9.540000000000001":0.0,"9.55":0.0,"9.56":0.0,"9.57":0.0,"9.58":0.0,"9.59":0.0094946467,"9.6":0.1791775442,"9.61":0.5032230442,"9.620000000000001":0.9601856596,"9.63":1.5828631274,"9.64":2.3653928225,"9.65":3.3163343574,"9.66":4.3884739292,"9.67":5.50895246,"9.68":6.8369815496,"9.69":8.2707368435,"9.700000000000001":9.7412559398,"9.71":11.2152182792,"9.72":12.7312849026,"9.73":14.1231202596,"9.74":15.3558561662,"9.75":16.4420922039,"9.76":17.3544136387,"9.77":18.0462421082,"9.78":18.5012137265,"9.790000000000001":18.7116740104,"9.8":18.681332454,"9.81":18.4346672914,"9.82":18.0319214755,"9.83":17.5317038071,"9.84":16.9591985214,"9.85":16.3513812601,"9.86":15.6159307808,"9.870000000000001":14.8161835525,"9.88":14.0240644886,"9.89":13.215843149,"9.9":12.3947834665,"9.91":11.5677123381,"9.92":10.7055752405,"9.93":9.9388899425,"9.94":9.0150648937,"9.950000000000001":8.0823628014,"9.96":7.1511583502,"9.97":6.263767448,"9.98":5.4509595164,"9.99":4.6675824155,"10.0":3.9207767338,"10.01":3.2838801045,"10.02":2.7403596477,"10.03":2.2430750712,"10.040000000000001":1.813384002,"10.05":1.4878609504,"10.06":1.210920126,"10.07":0.999657392,"10.08":0.8538350152,"10.09":0.7514063673,"10.1":0.6925731189,"10.11":0.6790660172,"10.120000000000001":0.7101594135,"10.13":0.7840872877,"10.14":0.9000127415,"10.15":1.0696992745,"10.16":1.3076631697,"10.17":1.5867384384,"10.18":1.953735923,"10.19":2.3780733381,"10.200000000000001":2.8330292439,"10.21":3.3107449548,"10.22":3.8591693895,"10.23":4.3224290591,"10.24":4.9190742373,"10.25":5.5019020166,"10.26":6.0608422411,"10.27":6.5863834333,"10.28":7.0695149742,"10.290000000000001":7.526243268,"10.3":8.0875851079,"10.31":8.4457021079,"10.32":8.7278307228,"10.33":8.9309476966,"10.34":9.0533178318,"10.35":9.0948652355,"10.36":9.0569559524,"10.370000000000001":8.9423855986,"10.38":8.7542085685,"10.39":8.5142950816,"10.4":8.2102565187,"10.41":7.8488647985,"10.42":7.4374066908,"10.43":6.9835788937,"10.44":6.4975544264,"10.450000000000001":6.0036073245,"10.46":5.4985788739,"10.47":5.0133241832,"10.48":4.5278815541,"10.49":4.1147038507,"10.5":3.725740856,"10.51":3.3511370465,"10.52":2.9958520055,"10.53":2.6640969918,"10.540000000000001":2.3925915657,"10.55":2.1612684798,"10.56":1.9558997692,"10.57":1.7796229407,"10.58":1.6343288909,"10.59":1.5213614909,"10.6":1.4416593274,"10.61":1.3960642766,"10.620000000000001":1.3841778991,"10.63":1.4054950751,"10.64":1.459009486,"10.65":1.5431230719,"10.66":1.6557092065,"10.67":1.7944814846,"10.68":1.9668449173,"10.69":2.1954931041,"10.700000000000001":2.4409817256,"10.71":2.69863425,"10.72":2.9635233917,"10.73":3.229900123,"10.74":3.4910411268,"10.75":3.7430283544,"10.76":3.9800892539,"10.77":4.1928465204,"10.78":4.3796163148,"10.790000000000001":4.5565693173,"10.8":4.7022219932,"10.81":4.8006563683,"10.82":4.8481750915,"10.83":4.8417998761,"10.84":4.7800185061,"10.85":4.662126268,"10.86":4.4884448004,"10.870000000000001":4.2933609004,"10.88":4.0623694243,"10.89":3.7883656803,"10.9":3.4767956692,"10.91":3.1361688897,"10.92":2.7678504835,"10.93":2.3769499485,"10.94":1.9686653177,"10.950000000000001":1.5755027319,"10.96":1.226134263,"10.97":0.8969110142,"10.98":0.6132417734,"10.99":0.3845972525,"11.0":0.1986389126,"11.01":0.0653338049,"11.02":0.0121551798,"11.03":0.0,"11.040000000000001":0.0,"11.05":0.0,"11.06":0.0,"11.07":0.0,"11.08":0.0,"11.09":0.0,"11.1":0.0,"11.11":0.0,"11.120000000000001":0.0,"11.13":0.0,"11.14":0.0,"11.15":0.0,"11.16":0.0267755496,"11.17":0.1183452875,"11.18":0.2769260972,"11.19":0.487529777,"11.200000000000001":0.7425379472,"11.21":1.0456687332,"11.22":1.4057862083,"11.23":1.7771850181,"11.24":2.1911304508,"11.25":2.6246514404,"11.26":3.0412997518,"11.27":3.435354609,"11.28":3.8012341695,"11.290000000000001":4.1594719248,"11.3":4.5183587422,"11.31":4.826841107,"11.32":5.0818510964,"11.33":5.2814083722,"11.34":5.4248298875,"11.35":5.5128100258,"11.36":5.5474692009,"11.370000000000001":5.5323802951,"11.38":5.4725673882,"11.39":5.3744722738,"11.4":5.2458885,"11.41":5.0958637465,"11.42":4.9345682583,"11.43":4.7731305183,"11.44":4.6234407445,"11.450000000000001":4.4979242389,"11.46":4.409288549,"11.47":4.3702473472,"11.48":4.3932242306,"11.49":4.4898282211,"11.5":4.6708045874,"11.51":4.9461364017,"11.52":5.3239812213,"11.53":5.8106775417,"11.540000000000001":6.4105069236,"11.55":7.1254652171,"11.56":7.9731528207,"11.57":8.9040005662,"11.58":10.0835762756,"11.59":11.3712887007,"11.6":12.7570370581,"11.61":14.2398071855,"11.620000000000001":15.8681633789,"11.63":17.5511756201,"11.64":19.2753120448,"11.65":21.002182489,"11.66":22.7425828347,"11.67":24.4499404258,"11.68":26.0680493198,"11.69":27.6288085503,"11.700000000000001":29.0346360652,"11.71":30.2618896209,"11.72":31.3362609887,"11.73":32.1851268257,"11.74":32.7754335723,"11.75":33.1932442115,"11.76":33.3718305318,"11.77":33.2924976586,"11.78":33.0038318682,"11.790000000000001":32.4889816729,"11.8":31.7481469104,"11.81":30.813312336,"11.82":29.6771837563,"11.83":28.3892198325,"11.84":26.9663291038,"11.85":25.410175712,"11.86":23.7582197973,"11.870000000000001":22.0334414897,"11.88":20.2833156361,"11.89":18.5334186017,"11.9":16.7710707138,"11.91":15.012969419,"11.92":13.2733087161,"11.93":11.5795513741,"11.94":10.0051738899,"11.950000000000001":8.4740132774,"11.96":6.9821251591,"11.97":5.5560431083,"11.98":4.3110219568,"11.99":3.0940519279,"12.0":2.0083105666,"12.01":1.1690916747,"12.02":0.4469550081,"12.030000000000001":0.0237983919,"12.040000000000001":0.0,"12.05":0.0,"12.06":0.0,"12.07":0.0,"12.08":0.0,"12.09":0.0,"12.1":0.0,"12.11":0.0,"12.120000000000001":0.0,"12.13":0.0,"12.14":0.0,"12.15":0.0,"12.16":0.0,"12.17":0.0,"12.18":0.0,"12.19":0.0,"12.200000000000001":0.0,"12.21":0.0,"12.22":0.0,"12.23":0.0,"12.24":0.0,"12.25":0.0,"12.26":0.0,"12.27":0.0,"12.280000000000001":0.0,"12.290000000000001":0.0,"12.3":0.0,"12.31":0.0,"12.32":0.0,"12.33":0.0,"12.34":0.0,"12.35":0.0,"12.36":0.0,"12.370000000000001":0.0,"12.38":0.0,"12.39":0.0,"12.4":0.0,"12.41":0.0,"12.42":0.0102614559,"12.43":0.1593042644,"12.44":0.4048873596,"12.450000000000001":0.7304976827,"12.46":1.1492674534,"12.47":1.6787673008,"12.48":2.2910860847,"12.49":2.9940870221,"12.5":3.7085804802,"12.51":4.5182721078,"12.52":5.3842938505,"12.530000000000001":6.2308881851,"12.540000000000001":6.9078039367,"12.55":7.6717734214,"12.56":8.4065706268,"12.57":9.1498377511,"12.58":9.8012445107,"12.59":10.3666595559,"12.6":10.8191546098,"12.61":11.1613972813,"12.620000000000001":11.3888739334,"12.63":11.4935609038,"12.64":11.4700198474,"12.65":11.3092039944,"12.66":11.0166585724,"12.67":10.5959485545,"12.68":10.0536598761,"12.69":9.4105042851,"12.700000000000001":8.7169160334,"12.71":7.9426419083,"12.72":7.1016218649,"12.73":6.2118182013,"12.74":5.2919270997,"12.75":4.4443134439,"12.76":3.6847596637,"12.77":2.9078912119,"12.780000000000001":2.1770350773,"12.790000000000001":1.5225738232,"12.8":0.994183552,"12.81":0.6044229962,"12.82":0.3121844301,"12.83":0.1065733754,"12.84":0.0105577808,"12.85":0.0,"12.86":0.0,"12.870000000000001":0.0,"12.88":0.0,"12.89":0.0,"12.9":0.0,"12.91":0.0,"12.92":0.0,"12.93":0.0,"12.94":0.0,"12.950000000000001":0.0,"12.96":0.0,"12.97":0.0,"12.98":0.0,"12.99":0.0108590531,"13.0":0.0977818828,"13.01":0.2419527664,"13.02":0.4260405907,"13.030000000000001":0.6497148275,"13.040000000000001":0.9070144698,"13.05":1.1757198903,"13.06":1.4943434648,"13.07":1.8091085638,"13.08":2.1243676634,"13.09":2.4781125018,"13.1":2.8134644416,"13.11":3.1288603419,"13.120000000000001":3.4235274885,"13.13":3.6975566699,"13.14":3.9518277009,"13.15":4.2281074419,"13.16":4.4952698672,"13.17":4.7468408052,"13.18":4.9864851052,"13.19":5.2190937494,"13.200000000000001":5.4495874979,"13.21":5.6828154697,"13.22":5.9234586889,"13.23":6.1758235308,"13.24":6.4436544258,"13.25":6.7299185363,"13.26":7.0369658014,"13.27":7.2309108152,"13.280000000000001":7.5757184854,"13.290000000000001":7.9406731987,"13.3":8.3498728964,"13.31":8.8155232245,"13.32":9.3061756231,"13.33":9.8066542685,"13.34":10.3227661613,"13.35":10.84932779,"13.36":11.3739482892,"13.370000000000001":11.8743544051,"13.38":12.3388648195,"13.39":12.749862802,"13.4":13.08366997,"13.41":13.3331531523,"13.42":13.5106564989,"13.43":13.5945193279,"13.44":13.5787781688,"13.450000000000001":13.4605443587,"13.46":13.238534947,"13.47":12.9144790028,"13.48":12.4923483648,"13.49":11.9840135823,"13.5":11.4044276122,"13.51":10.7292439816,"13.52":9.9938450281,"13.530000000000001":9.2371111061,"13.540000000000001":8.4987518283,"13.55":7.7569783071,"13.56":7.0238746069,"13.57":6.3053078198,"13.58":5.621897283,"13.59":4.961976203,"13.6":4.4123396987,"13.61":3.932780156,"13.620000000000001":3.4906193829,"13.63":3.084625625,"13.64":2.7204489681,"13.65":2.4008045008,"13.66":2.1265033873,"13.67":1.916521576,"13.68":1.7714082968,"13.69":1.663148138,"13.700000000000001":1.5891653949,"13.71":1.5465508696,"13.72":1.5317855372,"13.73":1.5408659203,"13.74":1.5693922101,"13.75":1.612800195,"13.76":1.6666727067,"13.77":1.7258725936,"13.780000000000001":1.7859318488,"13.790000000000001":1.8426356895,"13.8":1.8922194018,"13.81":1.931510596,"13.82":1.9580483559,"13.83":1.9701654445,"13.84":1.9670662239,"13.85":1.9488755975,"13.86":1.9166554477,"13.870000000000001":1.8724002932,"13.88":1.8189870756,"13.89":1.7601039969,"13.9":1.7001666756,"13.91":1.6441971866,"13.92":1.5976706675,"13.93":1.5663813786,"13.94":1.556259523,"13.950000000000001":1.5733335154,"13.96":1.6230617715,"13.97":1.7106418257,"13.98":1.8410465972,"13.99":2.0180221978,"14.0":2.274258918,"14.01":2.6171611662,"14.02":3.0234543168,"14.030000000000001":3.4925296347,"14.040000000000001":4.0208977474,"14.05":4.7250106094,"14.06":5.496309954,"14.07":6.3212845969,"14.08":7.1897696098,"14.09":7.9604067429,"14.1":8.9954395659,"14.11":10.0371211732,"14.120000000000001":11.0691920431,"14.13":12.0751198005,"14.14":13.0522871152,"14.15":13.9710885962,"14.16":14.8112515751,"14.17":15.5875938688,"14.18":16.2631267328,"14.19":16.8158967781,"14.200000000000001":17.2334783464,"14.21":17.5092502621,"14.22":17.6399917196,"14.23":17.6269257863,"14.24":17.4658339696,"14.25":17.1606062521,"14.26":16.7177643961,"14.27":16.1457007356,"14.280000000000001":15.4866299756,"14.290000000000001":14.731077209,"14.3":13.8892034699,"14.31":12.976085064,"14.32":12.010676834,"14.33":11.0120203592,"14.34":9.9902170327,"14.35":8.9610105582,"14.36":8.0115777392,"14.370000000000001":7.1314915837,"14.38":6.2794097661,"14.39":5.4729562195,"14.4":4.7221907683,"14.41":4.1337026038,"14.42":3.5960866253,"14.43":3.1104794692,"14.44":2.6729433801,"14.450000000000001":2.2814811302,"14.46":1.9342764422,"14.47":1.6666233657,"14.48":1.44955971,"14.49":1.260526882,"14.5":1.094777124,"14.51":0.9724747497,"14.52":0.8667688272,"14.530000000000001":0.7713426021,"14.540000000000001":0.6832987808,"14.55":0.6130341529,"14.56":0.5453943475,"14.57":0.4784208891,"14.58":0.4117137895,"14.59":0.3562592756,"14.6":0.2985387622,"14.61":0.2420108021,"14.620000000000001":0.1930692186,"14.63":0.147731765,"14.64":0.1115360511,"14.65":0.0743140156,"14.66":0.0516813284,"14.67":0.0368570037,"14.68":0.030947033,"14.69":0.0282742094,"14.700000000000001":0.0314610708,"14.71":0.0427964331,"14.72":0.0676506733,"14.73":0.1160570406,"14.74":0.1881046375,"14.75":0.2874068541,"14.76":0.4165463826,"14.77":0.5969892884,"14.780000000000001":0.8279012286,"14.790000000000001":1.1124191092,"14.8":1.479245656,"14.81":1.8930103238,"14.82":2.3938659363,"14.83":2.9215614038,"14.84":3.4698948268,"14.85":4.0062459402,"14.86":4.5521824315,"14.870000000000001":5.1634151061,"14.88":5.7933408354,"14.89":6.4000700427,"14.9":6.9697553139,"14.91":7.4932620983,"14.92":7.9717014662,"14.93":8.3901263593,"14.94":8.7470126447,"14.950000000000001":9.0354164979,"14.96":9.252205623,"14.97":9.4042533498,"14.98":9.47404671,"14.99":9.4634269715,"15.0":9.3754349675,"15.01":9.2262042769,"15.02":9.0130960289,"15.030000000000001":8.7427434212,"15.040000000000001":8.4254343314,"15.05":8.0682749287,"15.06":7.6828857156,"15.07":7.2791394263,"15.08":6.8689999289,"15.09":6.4598570636,"15.1":6.0653033421,"15.11":5.688176773,"15.120000000000001":5.3369104574,"15.13":5.0163058506,"15.14":4.7280751499,"15.15":4.5115766858,"15.16":4.3497699316,"15.17":4.2086491864,"15.18":4.1078318725,"15.19":4.0309063033,"15.200000000000001":3.9827521231,"15.21":3.9609649994,"15.22":3.967299235,"15.23":3.992080566,"15.24":4.0315724913,"15.25":4.0819547905,"15.26":4.1394676191,"15.27":4.2005476409,"15.280000000000001":4.261950665,"15.290000000000001":4.3208576552,"15.3":4.3749601265,"15.31":4.4225209277,"15.32":4.4623503605,"15.33":4.4939849783,"15.34":4.5175056621,"15.35":4.5335508245,"15.36":4.5432514011,"15.370000000000001":4.548146344,"15.38":4.5500824502,"15.39":4.551102816,"15.4":4.5533286152,"15.41":4.558838937,"15.42":4.5695534986,"15.43":4.5871211846,"15.44":4.612821293,"15.450000000000001":4.6474893134,"15.46":4.6961228685,"15.47":4.7599829153,"15.48":4.8336893817,"15.49":5.0508369013,"15.5":5.1369716105,"15.51":5.2258000531,"15.52":5.3137173685,"15.530000000000001":5.3966174154,"15.540000000000001":5.4701654759,"15.55":5.5297510879,"15.56":5.570684138,"15.57":5.5883225038,"15.58":5.5784357833,"15.59":5.5369286559,"15.6":5.4601677448,"15.610000000000001":5.3452272188,"15.620000000000001":5.1898949168,"15.63":4.9927159173,"15.64":4.7531383919,"15.65":4.4714801415,"15.66":4.1489686884,"15.67":3.8290673559,"15.68":3.501673292,"15.69":3.1477912611,"15.700000000000001":2.7708476234,"15.71":2.3756707637,"15.72":1.9749602092,"15.73":1.6324534221,"15.74":1.2875748705,"15.75":0.9858229458,"15.76":0.709388466,"15.77":0.4844001114,"15.780000000000001":0.2941631676,"15.790000000000001":0.1418492489,"15.8":0.0320685103,"15.81":0.0,"15.82":0.0,"15.83":0.0,"15.84":0.0,"15.85":0.0,"15.860000000000001":0.0,"15.870000000000001":0.0,"15.88":0.0,"15.89":0.0,"15.9":0.0,"15.91":0.0,"15.92":0.0,"15.93":0.0,"15.94":0.0,"15.950000000000001":0.0,"15.96":0.0,"15.97":0.0,"15.98":0.0,"15.99":0.0054335138,"16.0":0.049361488,"16.01":0.1403221156,"16.02":0.2558553891,"16.03":0.4012622696,"16.04":0.5788211525,"16.05":0.7886414821,"16.06":1.0377483138,"16.07":1.3416411527,"16.080000000000002":1.6872801778,"16.09":2.0830180977,"16.1":2.5556106095,"16.11":3.052967306,"16.12":3.5739435853,"16.13":4.1430224546,"16.14":4.8239723157,"16.15":5.385762973,"16.16":6.0946979075,"16.17":6.8099581908,"16.18":7.5243018117,"16.19":8.2296406334,"16.2":9.0124598203,"16.21":9.774087845,"16.22":10.4942866038,"16.23":11.1621639945,"16.240000000000002":11.7672320614,"16.25":12.2997342303,"16.26":12.7509287072,"16.27":13.113110767,"16.28":13.380274673,"16.29":13.5477596982,"16.3":13.6126320102,"16.31":13.5736752087,"16.32":13.4319863962,"16.330000000000002":13.1904929438,"16.34":12.8540341851,"16.35":12.4291438969,"16.36":11.9239675876,"16.37":11.3566415568,"16.38":10.7360709271,"16.39":10.068359372,"16.4":9.3649784701,"16.41":8.6381936355,"16.42":7.9050110609,"16.43":7.3816585162,"16.44":6.7357901519,"16.45":6.1085630957,"16.46":5.5077153988,"16.47":4.9399724554,"16.48":4.410715809,"16.490000000000002":3.9399248275,"16.5":3.5760479202,"16.51":3.2509462046,"16.52":2.9649151684,"16.53":2.7173526004,"16.54":2.5069104906,"16.55":2.3316797392,"16.56":2.1893573288,"16.57":2.0774099574,"16.580000000000002":1.9932466703,"16.59":1.9343856712,"16.6":1.8986236271,"16.61":1.8841286344,"16.62":1.889521366,"16.63":1.9139779185,"16.64":1.9572802698,"16.65":2.0197595371,"16.66":2.1015152327,"16.67":2.2042726762,"16.68":2.3304544362,"16.69":2.4817439303,"16.7":2.6607084989,"16.71":2.8692338963,"16.72":3.1090927336,"16.73":3.3899172767,"16.740000000000002":3.7118019666,"16.75":4.0626265,"16.76":4.4398550533,"16.77":4.8830813741,"16.78":5.4127239422,"16.79":5.9711136589,"16.8":6.5550440807,"16.81":7.1544907512,"16.82":7.7610520543,"16.830000000000002":8.3658183449,"16.84":9.0179945755,"16.85":9.6788429875,"16.86":10.3074751804,"16.87":10.8930080664,"16.88":11.4253890336,"16.89":11.9085003438,"16.9":12.3239665804,"16.91":12.6622383652,"16.92":12.9176340627,"16.93":13.1018092272,"16.94":13.2037712731,"16.95":13.2106100466,"16.96":13.1253958996,"16.97":12.9524333622,"16.98":12.816691958,"16.990000000000002":12.4863586025,"17.0":12.0915511112,"17.01":11.643023543,"17.02":11.1518080523,"17.03":10.6503589286,"17.04":10.1341728077,"17.05":9.6134319933,"17.06":9.0991933792,"17.07":8.6015416992,"17.080000000000002":8.1293560312,"17.09":7.6901680417,"17.1":7.3192818259,"17.11":7.0117442965,"17.12":6.7456364641,"17.13":6.5218754859,"17.14":6.3398974074,"17.150000000000002":6.197793085,"17.16":6.0923937942,"17.17":6.0194282348,"17.18":5.973776293,"17.19":5.9496688834,"17.2":5.9410900929,"17.21":5.9414558641,"17.22":5.944456071,"17.23":5.9440120375,"17.240000000000002":5.9345232519,"17.25":5.7759043446,"17.26":5.7326909491,"17.27":5.6683123377,"17.28":5.5804843227,"17.29":5.4680082354,"17.3":5.3305823504,"17.31":5.1688241952,"17.32":4.9841841898,"17.330000000000002":4.7788348137,"17.34":4.5737337181,"17.35":4.3771852676,"17.36":4.1714595947,"17.37":3.958329238,"17.38":3.740258688,"17.39":3.5239882633,"17.400000000000002":3.3095136941,"17.41":3.0990440185,"17.42":2.8942789218,"17.43":2.6964520537,"17.44":2.5063028912,"17.45":2.3241107849,"17.46":2.1497204141,"17.47":1.9825052304,"17.48":1.8215497392,"17.490000000000002":1.6861824698,"17.5":1.5620531949,"17.51":1.4397972721,"17.52":1.3184893773,"17.53":1.1964116369,"17.54":1.0728213098,"17.55":0.9661868144,"17.56":0.8597836315,"17.57":0.7506670261,"17.580000000000002":0.6457156344,"17.59":0.5502757511,"17.6":0.4530871557,"17.61":0.366289091,"17.62":0.2827480293,"17.63":0.2090000943,"17.64":0.1395757733,"17.650000000000002":0.0846129467,"17.66":0.0373093542,"17.67":0.0121103412,"17.68":0.0,"17.69":0.0,"17.7":0.0,"17.71":0.0,"17.72":0.0,"17.73":0.0,"17.740000000000002":0.0,"17.75":0.0,"17.76":0.0,"17.77":0.0,"17.78":0.0,"17.79":0.0,"17.8":0.0,"17.81":0.0,"17.82":0.0,"17.830000000000002":0.0,"17.84":0.0035905134,"17.85":0.0271613951,"17.86":0.0789204909,"17.87":0.1556958179,"17.88":0.2556673916,"17.89":0.3870837366,"17.900000000000002":0.5496730198,"17.91":0.7449115855,"17.92":0.9855956297,"17.93":1.2798912216,"17.94":1.6175423889,"17.95":2.0052935358,"17.96":2.4705064755,"17.97":2.9589170532,"17.98":3.467541358,"17.990000000000002":3.9959770054,"18.0":4.5394194019,"18.01":5.1782398499,"18.02":5.8492513949,"18.03":6.5191005098,"18.04":7.184089305,"18.05":7.8468902136,"18.06":8.4906706465,"18.07":9.1720212041,"18.080000000000002":9.8111903147,"18.09":10.4069970207,"18.1":10.9408769449,"18.11":11.4042180948,"18.12":11.7926135469,"18.13":12.1085957021,"18.14":12.340010013,"18.150000000000002":12.4840308338,"18.16":12.5390065723,"18.17":12.5048816167,"18.18":12.3830543239,"18.19":12.1764583873,"18.2":11.8892191048,"18.21":11.5266072987,"18.22":11.0950569826,"18.23":10.6020036147,"18.240000000000002":10.055914812,"18.25":9.4675773026,"18.26":8.8449413428,"18.27":8.254295818,"18.28":7.6572495704,"18.29":7.0521823934,"18.3":6.4603190682,"18.31":5.8756519007,"18.32":5.3038268019,"18.330000000000002":4.7531314036,"18.34":4.313075664,"18.35":3.9127714692,"18.36":3.5403360358,"18.37":3.1990666037,"18.38":2.8900919355,"18.39":2.6154259699,"18.400000000000002":2.3752640523,"18.41":2.1703296054,"18.42":2.0016825876,"18.43":1.8697011984,"18.44":1.7882507815,"18.45":1.7411638678,"18.46":1.7235704641,"18.47":1.7349677161,"18.48":1.7748243332,"18.490000000000002":1.8424164615,"18.5":1.9505800638,"18.51":2.0970302255,"18.52":2.2734877194,"18.53":2.4780589733,"18.54":2.7085214459,"18.55":2.9622980425,"18.56":3.2364346579,"18.57":3.5275752115,"18.580000000000002":3.8319393321,"18.59":4.1773449979,"18.6":4.5628499405,"18.61":4.9481258817,"18.62":5.3272195619,"18.63":5.6940630281,"18.64":6.0426133872,"18.650000000000002":6.3669943326,"18.66":6.6616507063,"18.67":6.921503988,"18.68":7.1421034696,"18.69":7.3197671251,"18.7":7.4518475692,"18.71":7.5364035426,"18.72":7.5726965516,"18.73":7.5611039477,"18.740000000000002":7.5031160216,"18.75":7.4012852028,"18.76":7.2592071093,"18.77":7.0813993399,"18.78":6.8731401361,"18.79":6.6403332758,"18.8":6.3893137932,"18.81":6.1266473916,"18.82":5.8589112237,"18.830000000000002":5.5925280632,"18.84":5.3335293044,"18.85":5.0873824179,"18.86":4.8588346966,"18.87":4.6517843245,"18.88":4.4692829407,"18.89":4.3132298681,"18.900000000000002":4.184515166,"18.91":4.0830655604,"18.92":4.0080657995,"18.93":3.965382995,"18.94":3.9413604222,"18.95":3.9328419013,"18.96":3.9369203391,"18.97":3.9504984362,"18.98":3.9704316232,"18.990000000000002":3.9942891231,"19.0":4.0212008577,"19.01":4.0474046485,"19.02":4.0685231594,"19.03":4.0825746698,"19.04":4.0882061184,"19.05":4.084688274,"19.06":4.0718970052,"19.07":4.0502603979,"19.080000000000002":4.0206791134,"19.09":3.9884581058,"19.1":3.9545567797,"19.11":3.9178013796,"19.12":3.8795772268,"19.13":3.8411795601,"19.14":3.8037271648,"19.150000000000002":3.7681138387,"19.16":3.7349193734,"19.17":3.7043793303,"19.18":3.6764018354,"19.19":3.6505499375,"19.2":3.6260818381,"19.21":3.6020028234,"19.22":3.5771316896,"19.23":3.5501797948,"19.240000000000002":3.5198369276,"19.25":3.4848585347,"19.26":3.4441511662,"19.27":3.3968463393,"19.28":3.3423649308,"19.29":3.280484828,"19.3":3.211346573,"19.31":3.1354555248,"19.32":3.0537234591,"19.330000000000002":2.9673953276,"19.34":2.8779974098,"19.35":2.7872905671,"19.36":2.6972290441,"19.37":2.6098340962,"19.38":2.5271249989,"19.39":2.4510181767,"19.400000000000002":2.3833326361,"19.41":2.3256555266,"19.42":2.2793125866,"19.43":2.2453388841,"19.44":2.2244699923,"19.45":2.2171380677,"19.46":2.2235249076,"19.47":2.2435792519,"19.48":2.2770694237,"19.490000000000002":2.3236530375,"19.5":2.3829441748,"19.51":2.4545838375,"19.52":2.5383025477,"19.53":2.6339794518,"19.54":2.741683526,"19.55":2.8616985565,"19.56":2.994531461,"19.57":3.1409011545,"19.580000000000002":3.3017006323,"19.59":3.4779254089,"19.6":3.6705977925,"19.61":3.8808244464,"19.62":4.1359779633,"19.63":4.4361986123,"19.64":4.6309631131,"19.650000000000002":4.9684936581,"19.66":5.3370541884,"19.67":5.7266194358,"19.68":6.134963968,"19.69":6.5590773432,"19.7":6.9951631798,"19.71":7.4386845703,"19.72":7.8874289764,"19.73":8.3420264066,"19.740000000000002":8.8397588647,"19.75":9.3200784462,"19.76":9.7747407769,"19.77":10.195468723,"19.78":10.5773461354,"19.79":10.9185282212,"19.8":11.2062451282,"19.81":11.4350098347,"19.82":11.5990905167,"19.830000000000002":11.6984061127,"19.84":11.7351078576,"19.85":11.7063675527,"19.86":11.6115101786,"19.87":11.4527787049,"19.88":11.2335520251,"19.89":10.9582159972,"19.900000000000002":10.6320489021,"19.91":10.2611419299,"19.92":9.8520754518,"19.93":9.4137497163,"19.94":8.9514180539,"19.95":8.5065949843,"19.96":8.0586782575,"19.97":7.6113097352,"19.98":7.1639980138,"19.990000000000002":6.7207466454},"1":{"1.5":5.4638234108,"1.51":5.489487856,"1.52":5.5150997364,"1.53":5.5390633512,"1.54":5.5643232273,"1.55":5.5800061572,"1.56":5.5846216162,"1.57":5.5756991205,"1.58":5.5505145156,"1.59":5.5116173802,"1.6":5.4610462364,"1.61":5.3935615732,"1.62":5.3079484188,"1.6300000000000001":5.20414989,"1.6400000000000001":5.0818663505,"1.6500000000000001":4.9404761146,"1.6600000000000001":4.7806863304,"1.67":4.6016331664,"1.68":4.4038424403,"1.69":4.1860056303,"1.7":3.9488374451,"1.71":3.6919546291,"1.72":3.4148388584,"1.73":3.1506662374,"1.74":2.9133956446,"1.75":2.6591519305,"1.76":2.3872617812,"1.77":2.0971706085,"1.78":1.7878602535,"1.79":1.471375434,"1.8":1.2589766364,"1.81":1.1353444972,"1.82":1.0125669916,"1.83":0.8856402239,"1.84":0.8096939831,"1.85":0.7314375989,"1.86":0.6563603653,"1.87":0.605983776,"1.8800000000000001":0.549697696,"1.8900000000000001":0.5074263915,"1.9000000000000001":0.4734806023,"1.9100000000000001":0.4485026666,"1.92":0.4227455847,"1.93":0.4049027516,"1.94":0.3886653497,"1.95":0.3750789211,"1.96":0.3661940123,"1.97":0.3571485793,"1.98":0.3503787159,"1.99":0.3459626459,"2.0":0.3439237325,"2.0100000000000002":0.344219721,"2.02":0.3463409432,"2.0300000000000002":0.3481311017,"2.04":0.3544090366,"2.05":0.3636160306,"2.06":0.3743991229,"2.07":0.3901660293,"2.08":0.4051908448,"2.09":0.4293515257,"2.1":0.4577195834,"2.11":0.497386867,"2.12":0.5380960511,"2.13":0.6049628988,"2.14":0.6707851376,"2.15":0.7649155568,"2.16":0.8732172347,"2.17":0.9803311503,"2.18":1.1738683046,"2.19":1.3603101892,"2.2":1.5400031574,"2.21":1.512356794,"2.22":1.7960580022,"2.23":2.0689756368,"2.24":2.3327697917,"2.25":2.5874866738,"2.2600000000000002":2.8310493411,"2.27":3.1613994556,"2.2800000000000002":3.4968454806,"2.29":3.8127297544,"2.3000000000000003":4.0999144771,"2.31":4.3697586867,"2.32":4.6229182104,"2.33":4.8509461431,"2.34":5.0694259017,"2.35":5.2561473213,"2.36":5.4521175856,"2.37":5.6470606984,"2.38":5.8771619161,"2.39":6.1189873749,"2.4":6.3772645299,"2.41":6.6645796763,"2.42":7.0335222271,"2.43":7.4724619498,"2.44":8.0003839489,"2.45":8.6666391905,"2.46":9.4708379203,"2.47":10.4447363155,"2.48":11.6862822537,"2.49":13.171354151,"2.5":14.8754797049,"2.5100000000000002":16.7728756532,"2.52":18.8600229523,"2.5300000000000002":21.1437813458,"2.54":23.6765593995,"2.5500000000000003":26.3907261651,"2.56":29.2739512791,"2.57":32.2661826003,"2.58":35.3305256091,"2.59":38.410722671,"2.6":41.462316861,"2.61":44.4388313878,"2.62":47.2928707776,"2.63":49.9772950328,"2.64":52.4464169239,"2.65":54.6571862512,"2.66":56.5703249376,"2.67":58.1513779998,"2.68":59.3716477214,"2.69":60.2089816384,"2.7":60.6483891282,"2.71":60.682466325,"2.72":60.3116146154,"2.73":59.5440439312,"2.74":58.3955582764,"2.75":56.8891272333,"2.7600000000000002":55.0542534135,"2.77":52.9261517871,"2.7800000000000002":50.5447623882,"2.79":47.9536229076,"2.8000000000000003":45.1986320134,"2.81":42.3267377803,"2.82":39.3845882483,"2.83":36.4171828049,"2.84":33.466563722,"2.85":30.5705867483,"2.86":27.7618081424,"2.87":25.0665229471,"2.88":22.5045568511,"2.89":20.1122965911,"2.9":17.9802088874,"2.91":16.0342639533,"2.92":14.2195021037,"2.93":12.5195996859,"2.94":10.911013268,"2.95":9.4115147858,"2.96":8.1382537506,"2.97":6.9873964408,"2.98":5.9360089878,"2.99":4.9890712133,"3.0":4.1248717973,"3.0100000000000002":3.3166551242,"3.02":2.5570418427,"3.0300000000000002":1.9279323314,"3.04":1.3412090589,"3.0500000000000003":0.9697669547,"3.06":0.7046857913,"3.0700000000000003":0.4949401082,"3.08":0.3413583308,"3.09":0.2518544211,"3.1":0.1867027981,"3.11":0.1268473509,"3.12":0.0731466282,"3.13":0.0303875372,"3.14":0.0,"3.15":0.0,"3.16":0.0,"3.17":0.0,"3.18":0.0,"3.19":0.0,"3.2":0.0,"3.21":0.0,"3.22":0.0,"3.23":0.0,"3.24":0.0,"3.25":0.0,"3.2600000000000002":0.0,"3.27":0.0,"3.2800000000000002":0.0,"3.29":0.0,"3.3000000000000003":0.0,"3.31":0.0,"3.3200000000000003":0.0,"3.33":0.0,"3.34":0.0,"3.35":0.0,"3.36":0.0,"3.37":0.0201035303,"3.38":0.0636098658,"3.39":0.1138950724,"3.4":0.1727296025,"3.41":0.2370536135,"3.42":0.2998895979,"3.43":0.36807695,"3.44":0.4375838798,"3.45":0.5102502128,"3.46":0.5783773671,"3.47":0.6513379505,"3.48":0.7290844786,"3.49":0.8050456624,"3.5":0.8974553658,"3.5100000000000002":0.9959128159,"3.52":1.1459383464,"3.5300000000000002":1.2833562252,"3.54":1.4633364448,"3.5500000000000003":1.5721185307,"3.56":1.6141096742,"3.5700000000000003":1.597894052,"3.58":1.5324434321,"3.59":1.4245742046,"3.6":1.289150529,"3.61":1.2118546658,"3.62":1.1565730909,"3.63":1.1352420287,"3.64":1.126404772,"3.65":1.1338918827,"3.66":1.1460799129,"3.67":1.1628535543,"3.68":1.2217997566,"3.69":1.2989956613,"3.7":1.3811661972,"3.71":1.5058637816,"3.72":1.7073578128,"3.73":1.6905152215,"3.74":1.8566409794,"3.75":2.1122001665,"3.7600000000000002":2.5128603097,"3.77":3.0688833794,"3.7800000000000002":3.7479786382,"3.79":4.4566751061,"3.8000000000000003":5.1343757784,"3.81":5.7061692466,"3.8200000000000003":6.124943372,"3.83":6.3562182764,"3.84":6.3810717602,"3.85":6.2047471015,"3.86":5.8582586491,"3.87":5.3843260516,"3.88":4.8281667445,"3.89":4.2348781762,"3.9":3.6593628619,"3.91":3.1215877289,"3.92":2.6800717004,"3.93":2.345300867,"3.94":2.1180249132,"3.95":1.9778537892,"3.96":1.8999191889,"3.97":1.8979526787,"3.98":2.1829685365,"3.99":2.2814601601,"4.0":2.4085290617,"4.01":2.562762198,"4.0200000000000005":2.742120061,"4.03":3.0483899427,"4.04":3.4473247392,"4.05":3.8568309649,"4.0600000000000005":4.3982067273,"4.07":4.9966264856,"4.08":5.6734346181,"4.09":6.407713327,"4.1":7.2071930396,"4.11":8.1267040475,"4.12":9.0133585487,"4.13":9.8249354412,"4.14":10.5626008628,"4.15":11.2289217182,"4.16":11.8756543169,"4.17":12.51233872,"4.18":13.0985930989,"4.19":13.6215511445,"4.2":14.0860568439,"4.21":14.4976801916,"4.22":14.8610833878,"4.23":15.1797159925,"4.24":15.4555836202,"4.25":15.6891047152,"4.26":15.8790669331,"4.2700000000000005":16.0226899972,"4.28":16.1157967883,"4.29":16.1530894299,"4.3":16.1285214601,"4.3100000000000005":16.0357519346,"4.32":15.8686624616,"4.33":15.6219140863,"4.34":15.2915178003,"4.3500000000000005":14.8753915516,"4.36":14.3779135224,"4.37":13.8104624605,"4.38":13.1785534914,"4.39":12.5032606122,"4.4":11.8573216689,"4.41":11.2105051959,"4.42":10.5575099377,"4.43":9.9243249199,"4.44":9.3382602267,"4.45":8.8171049631,"4.46":8.3964396518,"4.47":8.1743437117,"4.48":8.1648761374,"4.49":8.3173620643,"4.5":8.6242277393,"4.51":9.1006660909,"4.5200000000000005":9.7380924326,"4.53":10.5301014836,"4.54":11.4719005448,"4.55":12.5534218315,"4.5600000000000005":13.7583683754,"4.57":15.08720074,"4.58":16.5125135201,"4.59":18.012644134,"4.6000000000000005":19.5819985247,"4.61":21.2114208657,"4.62":22.84059757,"4.63":24.5203191487,"4.64":26.146528431,"4.65":27.6831279668,"4.66":29.0865437349,"4.67":30.3010122442,"4.68":31.2956494433,"4.69":32.0440869955,"4.7":32.5247759332,"4.71":32.7221689317,"4.72":32.6266665671,"4.73":32.2344122158,"4.74":31.5481080756,"4.75":30.5759620591,"4.76":29.3316349681,"4.7700000000000005":27.833632026,"4.78":26.104744759,"4.79":24.1713259695,"4.8":22.0623907905,"4.8100000000000005":19.8092319897,"4.82":17.4694217006,"4.83":15.2469052446,"4.84":13.3753066466,"4.8500000000000005":11.6323860137,"4.86":10.065054109,"4.87":8.618851369,"4.88":7.5077265189,"4.89":6.5350578866,"4.9":5.6014086023,"4.91":5.016863103,"4.92":4.6078165835,"4.93":4.3388362085,"4.94":4.2249669949,"4.95":4.3195821419,"4.96":4.5393613746,"4.97":4.8611737608,"4.98":5.222962578,"4.99":5.5858713062,"5.0":5.9329489092,"5.01":6.2496349122,"5.0200000000000005":6.5239923979,"5.03":6.7467779494,"5.04":6.911415693,"5.05":7.0138229072,"5.0600000000000005":7.0521276316,"5.07":7.0263049735,"5.08":6.9377874758,"5.09":6.7890149637,"5.1000000000000005":6.5829837732,"5.11":6.322822775,"5.12":6.0114417759,"5.13":5.6513139123,"5.14":5.3108215836,"5.15":5.005281208,"5.16":4.6882658138,"5.17":4.5276893476,"5.18":4.5956293028,"5.19":4.9092846022,"5.2":5.3482217662,"5.21":6.044020916,"5.22":7.0368171766,"5.23":8.3209894201,"5.24":9.8937941834,"5.25":11.7218226293,"5.26":13.5212576989,"5.2700000000000005":15.2509557579,"5.28":16.9245830826,"5.29":18.6178196798,"5.3":20.1755125846,"5.3100000000000005":21.5421669335,"5.32":22.6884428197,"5.33":23.5839125996,"5.34":24.1975617027,"5.3500000000000005":24.4982680724,"5.36":24.458628078,"5.37":24.0527252832,"5.38":23.2654196634,"5.39":22.0891391726,"5.4":20.6036175158,"5.41":18.8069659667,"5.42":16.6217397975,"5.43":14.0470755562,"5.44":11.2156447611,"5.45":8.7306822667,"5.46":6.3675113079,"5.47":4.2000602693,"5.48":2.3537617901,"5.49":1.5890142691,"5.5":1.2326067993,"5.51":0.9288165007,"5.5200000000000005":0.6894601882,"5.53":0.5335724432,"5.54":0.4173010014,"5.55":0.3203118433,"5.5600000000000005":0.235843181,"5.57":0.1632564095,"5.58":0.1022898318,"5.59":0.052444211,"5.6000000000000005":0.0110327841,"5.61":0.0,"5.62":0.0,"5.63":0.0,"5.64":0.0,"5.65":0.0,"5.66":0.0,"5.67":0.0,"5.68":0.0,"5.69":0.0,"5.7":0.0,"5.71":0.0,"5.72":0.0,"5.73":0.0,"5.74":0.0,"5.75":0.0,"5.76":0.0191734791,"5.7700000000000005":0.0401591482,"5.78":0.0686737068,"5.79":0.1074032146,"5.8":0.1460474226,"5.8100000000000005":0.1549042835,"5.82":0.1634306984,"5.83":0.1719926723,"5.84":0.4675463258,"5.8500000000000005":1.0220359848,"5.86":1.7152136622,"5.87":2.4826881874,"5.88":3.3668865221,"5.89":4.4538655844,"5.9":5.5628147505,"5.91":6.71223557,"5.92":7.8892129039,"5.93":9.1239413595,"5.94":10.4795485073,"5.95":11.8447212754,"5.96":13.1658600825,"5.97":14.4385196342,"5.98":15.6486429056,"5.99":16.7809099984,"6.0":17.819446995,"6.01":18.773575333,"6.0200000000000005":19.6048375594,"6.03":20.293319166,"6.04":20.8314429973,"6.05":21.2232632371,"6.0600000000000005":21.3688546704,"6.07":21.3558311182,"6.08":21.1740700325,"6.09":20.8495890644,"6.1000000000000005":20.5370165993,"6.11":20.5058180275,"6.12":20.4245615442,"6.13":20.560651087,"6.140000000000001":20.7823097045,"6.15":20.9423802134,"6.16":21.0858305746,"6.17":21.2220605397,"6.18":21.3456520454,"6.19":21.4182133338,"6.2":21.4423160635,"6.21":21.4181051567,"6.22":21.3426191158,"6.23":21.2098744714,"6.24":21.0110047945,"6.25":20.7345852335,"6.26":20.3674247677,"6.2700000000000005":19.8952925592,"6.28":19.3037801371,"6.29":18.5792379415,"6.3":17.7097330307,"6.3100000000000005":16.6859776033,"6.32":15.5021872149,"6.33":14.1567964911,"6.34":12.6742022768,"6.3500000000000005":11.2699429524,"6.36":9.7755546606,"6.37":8.2013348496,"6.38":6.8866148385,"6.390000000000001":5.7996331084,"6.4":4.9191245213,"6.41":4.2461640721,"6.42":3.6337437602,"6.43":3.0573242411,"6.44":2.6132809061,"6.45":2.3120290591,"6.46":2.0467707018,"6.47":1.8415636939,"6.48":1.7022608357,"6.49":1.6532008836,"6.5":1.6258807606,"6.51":1.618783515,"6.5200000000000005":1.6356909803,"6.53":1.6653303092,"6.54":1.7035567954,"6.55":1.7462463192,"6.5600000000000005":1.7891734134,"6.57":1.8281649235,"6.58":1.8586587668,"6.59":1.8827802274,"6.6000000000000005":1.8960159574,"6.61":1.8934146176,"6.62":1.8727485728,"6.63":1.8334886652,"6.640000000000001":1.7751206174,"6.65":1.698433833,"6.66":1.6130474475,"6.67":1.5161336527,"6.68":1.4052295981,"6.69":1.282878168,"6.7":1.151956622,"6.71":1.0155702913,"6.72":0.877117341,"6.73":0.7397786743,"6.74":0.6265582704,"6.75":0.5460558063,"6.76":0.471644824,"6.7700000000000005":0.4051750471,"6.78":0.3483664723,"6.79":0.3040504779,"6.8":0.2820958752,"6.8100000000000005":0.2706729262,"6.82":0.2708702835,"6.83":0.2836937165,"6.84":0.3100728775,"6.8500000000000005":0.350854414,"6.86":0.409302464,"6.87":0.4971754504,"6.88":0.6065124839,"6.890000000000001":0.9315601511,"6.9":1.1365048267,"6.91":1.3870210921,"6.92":1.6735586158,"6.93":2.2179693875,"6.94":2.8450770397,"6.95":3.6719657183,"6.96":4.7437987696,"6.97":6.0350883422,"6.98":7.5921374458,"6.99":9.402890549,"7.0":11.4213195791,"7.01":13.7236848399,"7.0200000000000005":16.0322658194,"7.03":18.1710233121,"7.04":20.0950635879,"7.05":21.7616578224,"7.0600000000000005":23.1304131355,"7.07":24.1645000583,"7.08":24.8318539617,"7.09":25.1063234318,"7.1000000000000005":24.9687378713,"7.11":24.4078118273,"7.12":23.420840446,"7.13":22.0141892068,"7.140000000000001":20.2186137183,"7.15":18.2810569821,"7.16":16.3631491605,"7.17":14.4043618453,"7.18":12.4641562713,"7.19":10.6156675254,"7.2":8.8210954057,"7.21":7.2510995485,"7.22":5.6520201019,"7.23":4.3928495504,"7.24":3.2700665542,"7.25":2.390240929,"7.26":1.9801215265,"7.2700000000000005":1.6013312611,"7.28":1.3113160723,"7.29":1.0887738666,"7.3":0.8971693305,"7.3100000000000005":0.7685968681,"7.32":0.6604711633,"7.33":0.5839131086,"7.34":0.5256900494,"7.3500000000000005":0.4841532711,"7.36":0.4586323628,"7.37":0.4481642328,"7.38":0.4473931576,"7.390000000000001":0.4648677371,"7.4":0.5029726306,"7.41":0.5815961363,"7.42":0.6928733765,"7.43":0.8702508561,"7.44":0.9398427067,"7.45":1.2728323617,"7.46":1.597165318,"7.47":2.0981107418,"7.48":2.6266234956,"7.49":3.1110567788,"7.5":3.7203729267,"7.51":4.3209779877,"7.5200000000000005":4.8624579962,"7.53":5.386846209,"7.54":5.9462003079,"7.55":6.5466950795,"7.5600000000000005":7.2023039277,"7.57":7.9161953397,"7.58":8.6575244329,"7.59":9.4864916196,"7.6000000000000005":10.4232717284,"7.61":11.3576639541,"7.62":12.2732528347,"7.63":13.1718911975,"7.640000000000001":14.0532135166,"7.65":14.9545050262,"7.66":15.9098504818,"7.67":16.8686916632,"7.68":17.7912731899,"7.69":18.6647415975,"7.7":19.4752936188,"7.71":20.2122457067,"7.72":20.8652930192,"7.73":21.4249787319,"7.74":21.8831175789,"7.75":22.2331602865,"7.76":22.4704885939,"7.7700000000000005":22.5926334112,"7.78":22.5395767811,"7.79":22.4173016677,"7.8":22.2762137627,"7.8100000000000005":21.9606481137,"7.82":21.55018329,"7.83":21.0570014563,"7.84":20.4931986914,"7.8500000000000005":19.8720736361,"7.86":19.207767426,"7.87":18.5148937586,"7.88":17.8081210666,"7.890000000000001":17.1014841042,"7.9":16.4083787398,"7.91":15.7410588412,"7.92":15.1475162214,"7.930000000000001":14.6933652285,"7.94":14.3123369469,"7.95":13.9836728863,"7.96":13.7084300663,"7.97":13.6735398387,"7.98":13.9890059038,"7.99":14.6308475878,"8.0":15.4516075704,"8.01":16.2942810686,"8.02":17.0949164182,"8.03":17.8293823702,"8.040000000000001":18.4791802679,"8.05":19.0269218942,"8.06":19.4551082251,"8.07":19.7447248033,"8.08":19.884614641,"8.09":19.861942797,"8.1":19.665905641,"8.11":19.287798583,"8.120000000000001":18.7108436375,"8.13":17.8998115977,"8.14":16.8969221859,"8.15":15.7105681358,"8.16":14.3458002304,"8.17":12.9207108959,"8.18":11.6275222985,"8.19":10.4358093633,"8.2":9.3256455882,"8.21":8.4078997357,"8.22":7.6916933181,"8.23":7.08530993,"8.24":6.5869394153,"8.25":6.1554186483,"8.26":5.7514271526,"8.27":5.3866624459,"8.28":5.0655983709,"8.290000000000001":4.7885841653,"8.3":4.5555070795,"8.31":4.3915543702,"8.32":4.2775939562,"8.33":4.1813860495,"8.34":4.0875077324,"8.35":3.9788948171,"8.36":3.8373348837,"8.370000000000001":3.6440268877,"8.38":3.3808986507,"8.39":3.0304727739,"8.4":2.6322125747,"8.41":2.2003977593,"8.42":1.7689262085,"8.43":1.5514202661,"8.44":1.3998226315,"8.45":1.2660970292,"8.46":1.1449856064,"8.47":1.0080534175,"8.48":0.8543770663,"8.49":0.7283106592,"8.5":0.602175249,"8.51":0.4967822676,"8.52":0.4152018148,"8.53":0.3373075908,"8.540000000000001":0.2700430901,"8.55":0.2080296148,"8.56":0.1505107489,"8.57":0.0964613997,"8.58":0.0497261137,"8.59":0.016965349,"8.6":0.0,"8.61":0.0,"8.620000000000001":0.0,"8.63":0.0,"8.64":0.0,"8.65":0.0,"8.66":0.0,"8.67":0.0,"8.68":0.0,"8.69":0.0,"8.700000000000001":0.0,"8.71":0.0,"8.72":0.0,"8.73":0.0,"8.74":0.0,"8.75":0.0,"8.76":0.0,"8.77":0.0231643317,"8.78":0.0621081529,"8.790000000000001":0.1089392238,"8.8":0.1519191835,"8.81":0.1898698291,"8.82":0.2327002508,"8.83":0.2841896262,"8.84":0.3699519455,"8.85":0.6401340359,"8.86":0.8455177202,"8.870000000000001":1.104739449,"8.88":1.3836447718,"8.89":1.7706682946,"8.9":2.2152141077,"8.91":2.87880077,"8.92":3.5237914946,"8.93":4.2721365728,"8.94":5.175926005,"8.950000000000001":6.0436829737,"8.96":7.0921516801,"8.97":8.2101312322,"8.98":9.4314322042,"8.99":10.7487276137,"9.0":12.2332632846,"9.01":13.7828569872,"9.02":15.2015546442,"9.03":16.4841042939,"9.040000000000001":17.6583830521,"9.05":18.8696404275,"9.06":19.9444783974,"9.07":20.8517933471,"9.08":21.5964501091,"9.09":22.1860608456,"9.1":22.6309450749,"9.11":22.9438825008,"9.120000000000001":23.1397232716,"9.13":23.2349101408,"9.14":23.2469320346,"9.15":23.193733425,"9.16":23.0931070719,"9.17":22.9620986301,"9.18":22.8164512307,"9.19":22.6701151582,"9.200000000000001":22.5348449225,"9.21":22.4199000565,"9.22":22.33184262,"9.23":22.2745120906,"9.24":22.2490960352,"9.25":22.2543037398,"9.26":22.2866553471,"9.27":22.3408585651,"9.28":22.4102512392,"9.290000000000001":22.4872849209,"9.3":22.5640227129,"9.31":22.6326242067,"9.32":22.6857912924,"9.33":22.7171509484,"9.34":22.7215547045,"9.35":22.6952791239,"9.36":22.6361171394,"9.370000000000001":22.5433561141,"9.38":22.4176447783,"9.39":22.2607573915,"9.4":22.0752730292,"9.41":21.8641779414,"9.42":21.6304196676,"9.43":21.376453347,"9.44":21.1037894222,"9.450000000000001":20.8125777002,"9.46":20.5012541623,"9.47":20.166274383,"9.48":19.8019535702,"9.49":19.4004366791,"9.5":18.9548015813,"9.51":18.4515307723,"9.52":17.881258725,"9.53":17.2509401696,"9.540000000000001":16.5599394261,"9.55":15.8445540078,"9.56":15.0278527345,"9.57":14.0996063559,"9.58":13.0511240876,"9.59":11.8929987707,"9.6":10.8551164102,"9.61":9.9321761968,"9.620000000000001":9.0920517526,"9.63":8.3928249298,"9.64":7.8349790297,"9.65":7.4456670328,"9.66":7.1906838438,"9.67":7.0283241483,"9.68":7.1969887281,"9.69":7.5850466609,"9.700000000000001":8.0436600717,"9.71":8.5463393643,"9.72":9.1610363609,"9.73":9.660897568,"9.74":9.9994243964,"9.75":10.1893475502,"9.76":10.2083669471,"9.77":10.0183862878,"9.78":9.6101561795,"9.790000000000001":8.9832114226,"9.8":8.1520993161,"9.81":7.1580550171,"9.82":6.0975047048,"9.83":5.1023821156,"9.84":4.1847584895,"9.85":3.3699841,"9.86":2.6524629693,"9.870000000000001":2.0908106609,"9.88":1.7151700229,"9.89":1.481363669,"9.9":1.3693846104,"9.91":1.3540588683,"9.92":1.3708057106,"9.93":1.6089885027,"9.94":1.6487681749,"9.950000000000001":1.7069478235,"9.96":1.7827019017,"9.97":1.9269920407,"9.98":2.172399587,"9.99":2.4310566289,"10.0":2.6988795484,"10.01":3.0788670986,"10.02":3.5307683743,"10.03":3.9657288105,"10.040000000000001":4.4050937092,"10.05":4.894769111,"10.06":5.3328695831,"10.07":5.7385421379,"10.08":6.102629581,"10.09":6.3827684162,"10.1":6.5738941221,"10.11":6.6754360582,"10.120000000000001":6.6850700998,"10.13":6.6011192597,"10.14":6.4258942108,"10.15":6.1842723321,"10.16":5.9080400084,"10.17":5.565058273,"10.18":5.2438758052,"10.19":4.9121741337,"10.200000000000001":4.5455451887,"10.21":4.1515226307,"10.22":3.8270391205,"10.23":3.3462828172,"10.24":3.0777375687,"10.25":2.8098494124,"10.26":2.5477952968,"10.27":2.2964840938,"10.28":2.0600253074,"10.290000000000001":1.8802014869,"10.3":1.97885843,"10.31":1.8795532408,"10.32":1.7931485095,"10.33":1.7203986748,"10.34":1.6615839992,"10.35":1.6168265135,"10.36":1.5858356945,"10.370000000000001":1.5681178847,"10.38":1.5614555597,"10.39":1.5918616135,"10.4":1.629047839,"10.41":1.6720584388,"10.42":1.7195773972,"10.43":1.7700170522,"10.44":1.8271181218,"10.450000000000001":1.9158763327,"10.46":2.0173405617,"10.47":2.1675112768,"10.48":2.3220749391,"10.49":2.5844109706,"10.5":2.8668860006,"10.51":3.1434116745,"10.52":3.4121813882,"10.53":3.6713587456,"10.540000000000001":3.9717737332,"10.55":4.2742858725,"10.56":4.5510259193,"10.57":4.7990976148,"10.58":5.0164663917,"10.59":5.201461141,"10.6":5.3526394243,"10.61":5.4688627579,"10.620000000000001":5.5492059446,"10.63":5.5931643612,"10.64":5.6006425451,"10.65":5.572002179,"10.66":5.5081008234,"10.67":5.4104209154,"10.68":5.2978438952,"10.69":5.2150209418,"10.700000000000001":5.1086382198,"10.71":4.9821110683,"10.72":4.8395680781,"10.73":4.6847290625,"10.74":4.5209340844,"10.75":4.355173704,"10.76":4.1923823169,"10.77":4.0316930464,"10.78":3.8840375915,"10.790000000000001":3.7879566582,"10.8":3.7213299778,"10.81":3.6696146047,"10.82":3.636145435,"10.83":3.6236885808,"10.84":3.635448557,"10.85":3.6738865649,"10.86":3.7409752151,"10.870000000000001":3.8905246111,"10.88":4.096684177,"10.89":4.343211702,"10.9":4.6317212242,"10.91":4.9667720199,"10.92":5.3398377467,"10.93":5.7467500251,"10.94":6.1821210803,"10.950000000000001":6.6827496197,"10.96":7.2784841616,"10.97":7.9155276589,"10.98":8.6175246441,"10.99":9.382714463,"11.0":10.1748461972,"11.01":10.9936260911,"11.02":11.8669208298,"11.03":12.7180131348,"11.040000000000001":13.48752338,"11.05":14.1438823885,"11.06":14.67625062,"11.07":15.0756927785,"11.08":15.3348097189,"11.09":15.4482279929,"11.1":15.4128977858,"11.11":15.2277976459,"11.120000000000001":14.8942671191,"11.13":14.4158301087,"11.14":13.7981588888,"11.15":13.0492254954,"11.16":12.2216246773,"11.17":11.3875715572,"11.18":10.5645414428,"11.19":9.744205806,"11.200000000000001":8.9312901455,"11.21":8.1502689367,"11.22":7.4338558236,"11.23":6.727755466,"11.24":6.1007005377,"11.25":5.5356719184,"11.26":4.9930214522,"11.27":4.4809822709,"11.28":4.0069534781,"11.290000000000001":3.6180194963,"11.3":3.3394452913,"11.31":3.0996663075,"11.32":2.9008796933,"11.33":2.7441422665,"11.34":2.6295092358,"11.35":2.5560339058,"11.36":2.5218049345,"11.370000000000001":2.5239733774,"11.38":2.5588160125,"11.39":2.621814981,"11.4":2.7077536867,"11.41":2.8108252501,"11.42":2.92475338,"11.43":3.0429222051,"11.44":3.1585127848,"11.450000000000001":3.2646450646,"11.46":3.3545144803,"11.47":3.4215392358,"11.48":3.4594907614,"11.49":3.4622868835,"11.5":3.4245287504,"11.51":3.3422783715,"11.52":3.2119478815,"11.53":3.0308541589,"11.540000000000001":2.7973436167,"11.55":2.5108438511,"11.56":2.2006869916,"11.57":1.794680355,"11.58":1.567172023,"11.59":1.3124654887,"11.6":1.0369234,"11.61":0.7663267929,"11.620000000000001":0.6096401428,"11.63":0.4586182017,"11.64":0.3374756634,"11.65":0.2234602019,"11.66":0.1711219734,"11.67":0.1586325501,"11.68":0.1489913385,"11.69":0.20629917,"11.700000000000001":0.2554396953,"11.71":0.2958110532,"11.72":0.3711869618,"11.73":0.426874478,"11.74":0.4456171627,"11.75":0.5246833597,"11.76":0.6031131765,"11.77":0.6630675922,"11.78":0.7641966568,"11.790000000000001":0.8839713283,"11.8":1.0160345121,"11.81":1.185935127,"11.82":1.3688115849,"11.83":1.6015460206,"11.84":1.8807606067,"11.85":2.1814938753,"11.86":2.5200312476,"11.870000000000001":2.8961220503,"11.88":3.3384123041,"11.89":3.8458484733,"11.9":4.3726977678,"11.91":4.9104070254,"11.92":5.4489625215,"11.93":5.9821172393,"11.94":6.5833104684,"11.950000000000001":7.1456205886,"11.96":7.6479956785,"11.97":8.0998313842,"11.98":8.6495738695,"11.99":9.1259307968,"12.0":9.6262604307,"12.01":10.2635211331,"12.02":11.0431590259,"12.030000000000001":12.2212762545,"12.040000000000001":13.9265145881,"12.05":15.5294263684,"12.06":16.9972917014,"12.07":18.5514548145,"12.08":19.9967825255,"12.09":21.2911269603,"12.1":22.438156802,"12.11":23.4411712947,"12.120000000000001":24.3030223839,"12.13":25.0262239206,"12.14":25.6133968675,"12.15":26.0674574068,"12.16":26.3918403644,"12.17":26.5907054215,"12.18":26.6691010533,"12.19":26.6330683898,"12.200000000000001":26.4896718545,"12.21":26.2469487813,"12.22":25.913775916,"12.23":25.4996561467,"12.24":25.0144343094,"12.25":24.467955813,"12.26":23.86968613,"12.27":23.2283123456,"12.280000000000001":22.5513503415,"12.290000000000001":21.8447909148,"12.3":21.117793873,"12.31":20.3728293708,"12.32":19.6140305337,"12.33":18.8334987927,"12.34":18.0485894931,"12.35":17.2732420109,"12.36":16.5002901848,"12.370000000000001":15.6809298886,"12.38":14.8141415796,"12.39":13.8878732901,"12.4":12.8897472295,"12.41":11.814159438,"12.42":10.6837023307,"12.43":9.6661909621,"12.44":8.711199046,"12.450000000000001":7.7959902101,"12.46":6.9473034261,"12.47":6.2008577165,"12.48":5.5225454369,"12.49":4.941331432,"12.5":4.3495155289,"12.51":3.9016422451,"12.52":3.558493941,"12.530000000000001":3.2244730838,"12.540000000000001":2.6869025666,"12.55":2.378859926,"12.56":2.1417338567,"12.57":2.0597238631,"12.58":1.996504144,"12.59":1.984226795,"12.6":2.0105876483,"12.61":2.0757235732,"12.620000000000001":2.1826803863,"12.63":2.3244796008,"12.64":2.4936101378,"12.65":2.6780345373,"12.66":2.8734265171,"12.67":3.0711154471,"12.68":3.2667642497,"12.69":3.4685116269,"12.700000000000001":3.7333533163,"12.71":3.9946090331,"12.72":4.2521862173,"12.73":4.5111648661,"12.74":4.7765390468,"12.75":5.1757182209,"12.76":5.7142929411,"12.77":6.2393906683,"12.780000000000001":6.7936651855,"12.790000000000001":7.4042143481,"12.8":8.130937949,"12.81":8.9769838974,"12.82":9.8626653607,"12.83":10.7585359424,"12.84":11.6912738427,"12.85":12.6149853649,"12.86":13.4055367983,"12.870000000000001":14.0428743132,"12.88":14.5256334634,"12.89":14.8543283595,"12.9":15.0310952288,"12.91":15.0597162478,"12.92":14.9454109646,"12.93":14.6947476026,"12.94":14.3155464692,"12.950000000000001":13.8167809681,"12.96":13.2084774459,"12.97":12.5016114844,"12.98":11.7089573076,"12.99":10.8724371803,"13.0":10.0803774995,"13.01":9.331059993,"13.02":8.6108445272,"13.030000000000001":7.9329257271,"13.040000000000001":7.3011644804,"13.05":6.6929883337,"13.06":6.1814619151,"13.07":5.6918549459,"13.08":5.2394920363,"13.09":4.8944018049,"13.1":4.5720253711,"13.11":4.2742637709,"13.120000000000001":4.00227402,"13.13":3.7563779967,"13.14":3.5360888025,"13.15":3.4040343803,"13.16":3.3048770121,"13.17":3.2209833813,"13.18":3.1495253408,"13.19":3.0886219943,"13.200000000000001":3.0358120103,"13.21":2.9883098512,"13.22":2.9432854681,"13.23":2.8979752634,"13.24":2.8498193637,"13.25":2.7965991473,"13.26":2.7367753243,"13.27":2.4549023175,"13.280000000000001":2.3686879942,"13.290000000000001":2.2725919946,"13.3":2.2090415606,"13.31":2.2041097217,"13.32":2.2170491071,"13.33":2.2519013387,"13.34":2.3208909299,"13.35":2.4228387839,"13.36":2.5546521934,"13.370000000000001":2.7084895905,"13.38":2.8786004651,"13.39":3.0556913073,"13.4":3.2194127341,"13.41":3.3666370015,"13.42":3.4999951845,"13.43":3.6050440686,"13.44":3.6796431014,"13.450000000000001":3.7208787921,"13.46":3.7280576151,"13.47":3.7058427196,"13.48":3.6534964538,"13.49":3.5803549682,"13.5":3.5044129404,"13.51":3.4033110614,"13.52":3.3045703197,"13.530000000000001":3.2524196761,"13.540000000000001":3.2884740385,"13.55":3.3620240611,"13.56":3.4784913497,"13.57":3.6366551989,"13.58":3.8272623487,"13.59":4.0127432471,"13.6":4.3130337014,"13.61":4.6485011445,"13.620000000000001":4.9535166668,"13.63":5.2156413071,"13.64":5.4341579169,"13.65":5.607213186,"13.66":5.7328068389,"13.67":5.8408301934,"13.68":5.9346830103,"13.69":5.9743984266,"13.700000000000001":5.9640751756,"13.71":5.908961451,"13.72":5.8152293482,"13.73":5.6897914709,"13.74":5.5401213402,"13.75":5.3741040516,"13.76":5.1997701555,"13.77":5.0249270167,"13.780000000000001":4.8571336468,"13.790000000000001":4.7033987545,"13.8":4.5699709755,"13.81":4.4621476479,"13.82":4.3841038238,"13.83":4.3387462446,"13.84":4.3275978889,"13.85":4.3507229221,"13.86":4.4066856855,"13.870000000000001":4.4925495904,"13.88":4.6039210472,"13.89":4.7350372651,"13.9":4.8788951367,"13.91":5.027420605,"13.92":5.1716808704,"13.93":5.3021083916,"13.94":5.4087816331,"13.950000000000001":5.4817549596,"13.96":5.5112712985,"13.97":5.4881684673,"13.98":5.4042023628,"13.99":5.2522043623,"14.0":5.0740401808,"14.01":4.8742108392,"14.02":4.6118883023,"14.030000000000001":4.2867003866,"14.040000000000001":3.8980248531,"14.05":3.6400600869,"14.06":3.352846957,"14.07":3.0320821851,"14.08":2.6826917598,"14.09":2.1045966213,"14.1":1.8990360783,"14.11":1.6866995535,"14.120000000000001":1.4726294959,"14.13":1.2622798808,"14.14":1.0832634248,"14.15":0.9197165499,"14.16":0.7691086481,"14.17":0.6823805366,"14.18":0.6254136252,"14.19":0.5854942584,"14.200000000000001":0.5599285164,"14.21":0.5495108515,"14.22":0.5569984397,"14.23":0.5873566018,"14.24":0.6322461113,"14.25":0.691043689,"14.26":0.7626903882,"14.27":0.8455956937,"14.280000000000001":0.9863071743,"14.290000000000001":1.1474569463,"14.3":1.3196640869,"14.31":1.4996786354,"14.32":1.688555718,"14.33":1.8867287711,"14.34":2.0863176969,"14.35":2.2865013924,"14.36":2.596051202,"14.370000000000001":2.9746294811,"14.38":3.3356459494,"14.39":3.6890089207,"14.4":4.0359617014,"14.41":4.5342800954,"14.42":4.9997541897,"14.43":5.4300477168,"14.44":5.8181508621,"14.450000000000001":6.1636979826,"14.46":6.4685747883,"14.47":6.7963320301,"14.48":7.1102750841,"14.49":7.3857876124,"14.5":7.6272809246,"14.51":7.8790935516,"14.52":8.1109434596,"14.530000000000001":8.3245557253,"14.540000000000001":8.526086454,"14.55":8.7414359386,"14.56":8.9542794807,"14.57":9.16728978,"14.58":9.3835308702,"14.59":9.6219189391,"14.6":9.8604050272,"14.61":10.1015348187,"14.620000000000001":10.3503260341,"14.63":10.5937338712,"14.64":10.8321111732,"14.65":11.0396737037,"14.66":11.2306837736,"14.67":11.3831540803,"14.68":11.4875410281,"14.69":11.5236963287,"14.700000000000001":11.4853674039,"14.71":11.3666797415,"14.72":11.1678780688,"14.73":10.8984517655,"14.74":10.5539638691,"14.75":10.1376806681,"14.76":9.6535781361,"14.77":9.1381372847,"14.780000000000001":8.5947872653,"14.790000000000001":8.0358165673,"14.8":7.5164919641,"14.81":6.9925370636,"14.82":6.5416494042,"14.83":6.084039923,"14.84":5.6271083305,"14.85":5.1372630184,"14.86":4.6679598969,"14.870000000000001":4.3267413517,"14.88":4.0589514555,"14.89":3.8198879925,"14.9":3.607871969,"14.91":3.4194840016,"14.92":3.2717835524,"14.93":3.1520918157,"14.94":3.068782242,"14.950000000000001":3.0171030701,"14.96":2.9963933142,"14.97":3.0193729332,"14.98":3.0541928419,"14.99":3.1003532178,"15.0":3.1550706088,"15.01":3.2336856446,"15.02":3.3197007564,"15.030000000000001":3.4096019552,"15.040000000000001":3.5051780294,"15.05":3.6004571945,"15.06":3.6973021747,"15.07":3.7939520151,"15.08":3.8924933728,"15.09":3.9875033399,"15.1":4.0857102782,"15.11":4.176436355,"15.120000000000001":4.2684015585,"15.13":4.3552660581,"15.14":4.4267500827,"15.15":4.5392145437,"15.16":4.6620704957,"15.17":4.7401687567,"15.18":4.8057220682,"15.19":4.8358871861,"15.200000000000001":4.8434925614,"15.21":4.8314024186,"15.22":4.8103418787,"15.23":4.7738242798,"15.24":4.7253113682,"15.25":4.6682907184,"15.26":4.606140124,"15.27":4.5420039623,"15.280000000000001":4.4786843904,"15.290000000000001":4.4185526248,"15.3":4.3634821552,"15.31":4.3148035339,"15.32":4.2731890454,"15.33":4.2389246896,"15.34":4.211673546,"15.35":4.1906095781,"15.36":4.1744819596,"15.370000000000001":4.161695445,"15.38":4.1504035571,"15.39":4.138610884,"15.4":4.124280627,"15.41":4.1054433467,"15.42":4.0803028951,"15.43":4.0473332619,"15.44":4.0053669783,"15.450000000000001":3.9536846907,"15.46":3.899479478,"15.47":3.8454475679,"15.48":3.7852415264,"15.49":3.9343324304,"15.5":3.8626972414,"15.51":3.7887391112,"15.52":3.7143313897,"15.530000000000001":3.6415152859,"15.540000000000001":3.5726938904,"15.55":3.5102927314,"15.56":3.4567657345,"15.57":3.41451447,"15.58":3.3861413467,"15.59":3.3737143129,"15.6":3.3790220578,"15.610000000000001":3.4037089394,"15.620000000000001":3.4490660154,"15.63":3.5159084907,"15.64":3.6046894911,"15.65":3.7153480688,"15.66":3.8473439925,"15.67":4.0654878971,"15.68":4.3475950729,"15.69":4.6555076309,"15.700000000000001":4.9850597305,"15.71":5.3330249978,"15.72":5.707701184,"15.73":6.1975558339,"15.74":6.6924376471,"15.75":7.2519686248,"15.76":7.8345448377,"15.77":8.4688964613,"15.780000000000001":9.116263679,"15.790000000000001":9.7701591545,"15.8":10.4272711921,"15.81":11.1289786198,"15.82":11.7950034729,"15.83":12.3854246604,"15.84":12.8873680628,"15.85":13.2976070221,"15.860000000000001":13.615507602,"15.870000000000001":13.8419380379,"15.88":13.9791162765,"15.89":14.0304153122,"15.9":14.0001329013,"15.91":13.8932361775,"15.92":13.7150908524,"15.93":13.4711855097,"15.94":13.1668619423,"15.950000000000001":12.8070598342,"15.96":12.3960924641,"15.97":11.9376452873,"15.98":11.4384116153,"15.99":10.9106949862,"16.0":10.388150845,"16.01":9.8959872121,"16.02":9.3976300821,"16.03":8.899227902,"16.04":8.401392558,"16.05":7.9008251244,"16.06":7.4051731902,"16.07":6.9357981104,"16.080000000000002":6.469170812,"16.09":6.0166826765,"16.1":5.6209750711,"16.11":5.2003299037,"16.12":4.7558641189,"16.13":4.3318415193,"16.14":4.0359600865,"16.15":3.5108307823,"16.16":3.1899593634,"16.17":2.8634463273,"16.18":2.5350289994,"16.19":2.20869877,"16.2":2.0396100789,"16.21":1.8903160011,"16.22":1.7480408548,"16.23":1.6146812154,"16.240000000000002":1.4921775458,"16.25":1.3824921484,"16.26":1.287548114,"16.27":1.2087881791,"16.28":1.1477991483,"16.29":1.1053893003,"16.3":1.0819186836,"16.31":1.0770937197,"16.32":1.0908261447,"16.330000000000002":1.1224762849,"16.34":1.1711016252,"16.35":1.2353256515,"16.36":1.3135180153,"16.37":1.4174806136,"16.38":1.5424226042,"16.39":1.6776779565,"16.4":1.8202071433,"16.41":1.9679172353,"16.42":2.126462721,"16.43":2.6180988437,"16.44":2.89670738,"16.45":3.1685845159,"16.46":3.4306396327,"16.47":3.6804369542,"16.48":3.9159467286,"16.490000000000002":4.1610487998,"16.5":4.4876531921,"16.51":4.7846648128,"16.52":5.051951489,"16.53":5.2901386729,"16.54":5.5004103119,"16.55":5.6843703437,"16.56":5.84388073,"16.57":5.9808857778,"16.580000000000002":6.0972543933,"16.59":6.1946482778,"16.6":6.2744361227,"16.61":6.3375193198,"16.62":6.3842391128,"16.63":6.4143936231,"16.64":6.4272546658,"16.65":6.421500918,"16.66":6.3941127397,"16.67":6.3437640222,"16.68":6.2689281781,"16.69":6.1663790022,"16.7":6.0343055376,"16.71":5.8700915621,"16.72":5.6716483581,"16.73":5.45048682,"16.740000000000002":5.2045286655,"16.75":4.9142231476,"16.76":4.5774161934,"16.77":4.2611338438,"16.78":4.0045072346,"16.79":3.7255460285,"16.8":3.4310683681,"16.81":3.1194560904,"16.82":2.7937665383,"16.830000000000002":2.458004368,"16.84":2.2096506755,"16.85":2.0075496577,"16.86":1.8074729929,"16.87":1.6124137933,"16.88":1.4258205338,"16.89":1.2718031324,"16.9":1.1371699443,"16.91":1.020249763,"16.92":0.9226003308,"16.93":0.8700408112,"16.94":0.8490612816,"16.95":0.8398064834,"16.96":0.84332447,"16.97":0.8595701731,"16.98":1.0763646584,"16.990000000000002":1.1129174384,"17.0":1.1595398495,"17.01":1.2148302234,"17.02":1.2771510471,"17.03":1.3776272252,"17.04":1.4880451046,"17.05":1.6038280873,"17.06":1.7226841686,"17.07":1.8421195234,"17.080000000000002":1.959768784,"17.09":2.0734902632,"17.1":2.2278299406,"17.11":2.4061645435,"17.12":2.5680494806,"17.13":2.7124689242,"17.14":2.8390747879,"17.150000000000002":2.948252101,"17.16":3.0409801008,"17.17":3.1187466383,"17.18":3.1835500108,"17.19":3.2377763286,"17.2":3.2843393427,"17.21":3.3256560505,"17.22":3.3645259293,"17.23":3.4036083549,"17.240000000000002":3.4453926727,"17.25":3.2778636873,"17.26":3.3289011485,"17.27":3.3886533687,"17.28":3.4582121817,"17.29":3.5383757295,"17.3":3.6293698109,"17.31":3.7309819251,"17.32":3.8425914478,"17.330000000000002":3.9632200839,"17.34":4.1204383908,"17.35":4.3208405802,"17.36":4.5291575639,"17.37":4.740770645,"17.38":4.9522162177,"17.39":5.1671706473,"17.400000000000002":5.3792474561,"17.41":5.5864206946,"17.42":5.7868839712,"17.43":5.9792357035,"17.44":6.1624933177,"17.45":6.3361484952,"17.46":6.5001538658,"17.47":6.6547607014,"17.48":6.8006595021,"17.490000000000002":6.9713665401,"17.5":7.1474900416,"17.51":7.3178372846,"17.52":7.4846694697,"17.53":7.6488422562,"17.54":7.812553711,"17.55":8.0078129022,"17.56":8.2100090689,"17.57":8.4157657302,"17.580000000000002":8.6364188203,"17.59":8.8800142314,"17.6":9.1273945084,"17.61":9.3956685337,"17.62":9.6707943348,"17.63":9.9597319857,"17.64":10.249861696,"17.650000000000002":10.5530732259,"17.66":10.8541731319,"17.67":11.1716422252,"17.68":11.4849173071,"17.69":11.7843975918,"17.7":12.0598088512,"17.71":12.3008638788,"17.72":12.5045897815,"17.73":12.668451363,"17.740000000000002":12.7903358918,"17.75":12.8685141105,"17.76":12.9015772929,"17.77":12.8883574757,"17.78":12.8278365938,"17.79":12.7190519331,"17.8":12.5610026853,"17.81":12.3525621046,"17.82":12.0924276302,"17.830000000000002":11.779068315,"17.84":11.4232183415,"17.85":11.03443168,"17.86":10.6312217801,"17.87":10.2062452578,"17.88":9.7542504493,"17.89":9.2861159662,"17.900000000000002":8.7995232995,"17.91":8.2953333634,"17.92":7.7929901268,"17.93":7.3054394519,"17.94":6.8174112345,"17.95":6.3415670425,"17.96":5.9253172862,"17.97":5.4875072851,"17.98":5.030358005,"17.990000000000002":4.5610117441,"18.0":4.0813301138,"18.01":3.7297884211,"18.02":3.4186222675,"18.03":3.1085646219,"18.04":2.8083224387,"18.05":2.5374024024,"18.06":2.2848024495,"18.07":2.1559894876,"18.080000000000002":2.0400882205,"18.09":1.9501127781,"18.1":1.8705333707,"18.11":1.8057562407,"18.12":1.7551420219,"18.13":1.7305164419,"18.14":1.7194587856,"18.150000000000002":1.7220155152,"18.16":1.7381759906,"18.17":1.76767559,"18.18":1.8100167418,"18.19":1.8644640669,"18.2":1.9300546918,"18.21":2.0056405822,"18.22":2.0898833531,"18.23":2.1812510997,"18.240000000000002":2.2780202753,"18.25":2.378951593,"18.26":2.4833408887,"18.27":2.6955858803,"18.28":2.9255762273,"18.29":3.1549213168,"18.3":3.4021145061,"18.31":3.6432944424,"18.32":3.874255832,"18.330000000000002":4.0962014214,"18.34":4.4404421934,"18.35":4.785466676,"18.36":5.1046829734,"18.37":5.3969454685,"18.38":5.6589854366,"18.39":5.890154736,"18.400000000000002":6.0883046544,"18.41":6.2525889974,"18.42":6.3836084998,"18.43":6.4816617749,"18.44":6.5690549157,"18.45":6.6208645553,"18.46":6.6305226448,"18.47":6.5987609802,"18.48":6.5266398188,"18.490000000000002":6.4152825817,"18.5":6.2878037987,"18.51":6.1437959288,"18.52":5.9739136169,"18.53":5.779650529,"18.54":5.562758884,"18.55":5.3252939035,"18.56":5.0696476664,"18.57":4.7985836689,"18.580000000000002":4.5152567067,"18.59":4.2738267786,"18.6":4.0834092783,"18.61":3.8915677234,"18.62":3.7009067793,"18.63":3.5141659268,"18.64":3.3341668546,"18.650000000000002":3.1637434203,"18.66":3.0056709632,"18.67":2.8625891881,"18.68":2.7369228776,"18.69":2.6308045261,"18.7":2.5462270266,"18.71":2.4842983381,"18.72":2.4458604187,"18.73":2.4312470883,"18.740000000000002":2.4402489835,"18.75":2.4720774278,"18.76":2.5254653502,"18.77":2.5986507075,"18.78":2.689409309,"18.79":2.7951379546,"18.8":2.912934082,"18.81":3.0396912591,"18.82":3.1721753015,"18.830000000000002":3.3071939864,"18.84":3.441629468,"18.85":3.5725522667,"18.86":3.6973106836,"18.87":3.8136051579,"18.88":3.9197017299,"18.89":4.0140780449,"18.900000000000002":4.0957010202,"18.91":4.164066525,"18.92":4.219444074,"18.93":4.2744821592,"18.94":4.31233831,"18.95":4.3340720451,"18.96":4.3420311002,"18.97":4.3387996461,"18.98":4.3270690574,"18.990000000000002":4.3105025652,"19.0":4.2947617141,"19.01":4.2801696337,"19.02":4.2651069454,"19.03":4.2506283053,"19.04":4.2375661787,"19.05":4.2264981942,"19.06":4.2177595117,"19.07":4.211462573,"19.080000000000002":4.2075292015,"19.09":4.2121331068,"19.1":4.2240323376,"19.11":4.2383328059,"19.12":4.254187052,"19.13":4.2708145258,"19.14":4.2875834128,"19.150000000000002":4.3041155159,"19.16":4.3202654392,"19.17":4.3361395253,"19.18":4.3521675995,"19.19":4.3690244226,"19.2":4.3876096236,"19.21":4.4089964466,"19.22":4.4343648992,"19.23":4.4649260031,"19.240000000000002":4.5018408875,"19.25":4.5461397809,"19.26":4.5986458384,"19.27":4.6599015213,"19.28":4.730113643,"19.29":4.8091599727,"19.3":4.8965044335,"19.31":4.9911945572,"19.32":5.0919812535,"19.330000000000002":5.1972732848,"19.34":5.3051721277,"19.35":5.4135855957,"19.36":5.5203583844,"19.37":5.6232696182,"19.38":5.7201364944,"19.39":5.8088682438,"19.400000000000002":5.8876740932,"19.41":5.9549902733,"19.42":6.0095575249,"19.43":6.0504486128,"19.44":6.0770830256,"19.45":6.0891941984,"19.46":6.0868493101,"19.47":6.0703592946,"19.48":6.0402179108,"19.490000000000002":5.9970411754,"19.5":5.9414917498,"19.51":5.874205141,"19.52":5.7957186983,"19.53":5.7064135763,"19.54":5.6064676328,"19.55":5.495825091,"19.56":5.37418778,"19.57":5.2410294991,"19.580000000000002":5.0956297724,"19.59":4.9371392661,"19.6":4.7646591829,"19.61":4.5772285345,"19.62":4.4159813331,"19.63":4.2794498612,"19.64":3.9281326139,"19.650000000000002":3.7557921655,"19.66":3.5867916064,"19.67":3.4082193551,"19.68":3.221111832,"19.69":3.0269004313,"19.7":2.8273968247,"19.71":2.6247796685,"19.72":2.4262965271,"19.73":2.2448607972,"19.740000000000002":2.1523615562,"19.75":2.0661811043,"19.76":1.9867767663,"19.77":1.914321023,"19.78":1.8537161016,"19.79":1.8137501679,"19.8":1.7845353079,"19.81":1.7665365437,"19.82":1.7616960569,"19.830000000000002":1.7694181344,"19.84":1.7955794347,"19.85":1.8357176238,"19.86":1.8865305211,"19.87":1.9472131943,"19.88":2.0167541902,"19.89":2.093970509,"19.900000000000002":2.1775167248,"19.91":2.2659004584,"19.92":2.3577758251,"19.93":2.4520072308,"19.94":2.5470429817,"19.95":2.7018123718,"19.96":2.8742996756,"19.97":3.0567301128,"19.98":3.2360736469,"19.990000000000002":3.4096611937},"2":{"1.5":5.7913036786,"1.51":5.7747098067,"1.52":5.7600454831,"1.53":5.7475249184,"1.54":5.732837265,"1.55":5.724389216,"1.56":5.7220940771,"1.57":5.7268395107,"1.58":5.7399133203,"1.59":5.7581564516,"1.6":5.7790655865,"1.61":5.8070424835,"1.62":5.8442629637,"1.6300000000000001":5.8935249933,"1.6400000000000001":5.9528956043,"1.6500000000000001":6.0212803018,"1.6600000000000001":6.0991755165,"1.67":6.1914104903,"1.68":6.2990920037,"1.69":6.4224971838,"1.7":6.5626375815,"1.71":6.720636616,"1.72":6.8999217381,"1.73":7.0607799501,"1.74":7.1806753783,"1.75":7.3126865892,"1.76":7.4569962156,"1.77":7.6134952615,"1.78":7.7825879239,"1.79":7.9468426317,"1.8":7.9582762044,"1.81":7.8629280952,"1.82":7.8022321431,"1.83":7.7628211832,"1.84":7.6695851337,"1.85":7.5645161809,"1.86":7.4340329769,"1.87":7.2723187356,"1.8800000000000001":7.1114145105,"1.8900000000000001":6.93624625,"1.9000000000000001":6.75562289,"1.9100000000000001":6.5726750247,"1.92":6.4002468051,"1.93":6.234167322,"1.94":6.0838965364,"1.95":5.9518405336,"1.96":5.838986505,"1.97":5.7520821892,"1.98":5.6905217217,"1.99":5.6549940663,"2.0":5.6455816761,"2.0100000000000002":5.6615212936,"2.02":5.7018141534,"2.0300000000000002":5.7662941922,"2.04":5.8479303196,"2.05":5.9450906952,"2.06":6.0555845535,"2.07":6.1726036989,"2.08":6.2969762178,"2.09":6.4156239742,"2.1":6.5142011514,"2.11":6.5986604228,"2.12":6.681295392,"2.13":6.7376092601,"2.14":6.7906754944,"2.15":6.8136152877,"2.16":6.8186578669,"2.17":6.82201653,"2.18":6.7474404607,"2.19":6.6927675756,"2.2":6.6622720751,"2.21":6.9458811149,"2.22":6.810670357,"2.23":6.6911275644,"2.24":6.5845968606,"2.25":6.490873245,"2.2600000000000002":6.4113082409,"2.27":6.1914038487,"2.2800000000000002":5.9637739333,"2.29":5.7760078239,"2.3000000000000003":5.6161549725,"2.31":5.4842000658,"2.32":5.3855801117,"2.33":5.2787597481,"2.34":5.2277620785,"2.35":5.1161295014,"2.36":5.0954301102,"2.37":4.9726826112,"2.38":4.871186825,"2.39":4.8128352518,"2.4":4.7503642198,"2.41":4.6692159722,"2.42":4.5550025506,"2.43":4.4308886097,"2.44":4.2426749476,"2.45":4.1017306566,"2.46":3.8678497514,"2.47":3.5720234227,"2.48":3.1885370324,"2.49":2.6631696806,"2.5":2.0818604282,"2.5100000000000002":1.685279236,"2.52":1.248277177,"2.5300000000000002":0.7008664756,"2.54":0.4018289241,"2.5500000000000003":0.1639260077,"2.56":0.0541047832,"2.57":0.0,"2.58":0.0,"2.59":0.0,"2.6":0.0,"2.61":0.0,"2.62":0.0,"2.63":0.0,"2.64":0.0,"2.65":0.0,"2.66":0.0,"2.67":0.0,"2.68":0.0,"2.69":0.0,"2.7":0.0,"2.71":0.0,"2.72":0.0,"2.73":0.0,"2.74":0.0,"2.75":0.0,"2.7600000000000002":0.0,"2.77":0.0,"2.7800000000000002":0.0,"2.79":0.0,"2.8000000000000003":0.0,"2.81":0.0,"2.82":0.0,"2.83":0.0,"2.84":0.0,"2.85":0.0,"2.86":0.0,"2.87":0.0,"2.88":0.0009664055,"2.89":0.0980784619,"2.9":0.615788535,"2.91":1.2925586081,"2.92":1.6354327496,"2.93":2.3281715039,"2.94":3.0399653579,"2.95":3.7681091012,"2.96":4.3749847185,"2.97":4.9497307117,"2.98":5.4664982865,"2.99":5.9069560699,"3.0":6.2856766035,"3.0100000000000002":6.6269007647,"3.02":6.9230998291,"3.0300000000000002":7.0225150799,"3.04":7.0145669546,"3.0500000000000003":6.7606760941,"3.06":6.4455839435,"3.0700000000000003":6.0373573069,"3.08":5.5328591474,"3.09":4.9270905022,"3.1":4.2611942187,"3.11":3.5669859432,"3.12":2.8508226324,"3.13":2.1160986765,"3.14":1.3581307143,"3.15":0.6107574055,"3.16":0.0,"3.17":0.0,"3.18":0.0,"3.19":0.0,"3.2":0.0,"3.21":0.0,"3.22":0.0,"3.23":0.0,"3.24":0.0,"3.25":0.0,"3.2600000000000002":0.0,"3.27":0.0,"3.2800000000000002":0.0,"3.29":0.0,"3.3000000000000003":0.0,"3.31":0.0,"3.3200000000000003":0.0,"3.33":0.0,"3.34":0.0,"3.35":0.0,"3.36":0.4521360679,"3.37":1.2075138196,"3.38":1.9044459887,"3.39":2.5993271728,"3.4":3.2802832594,"3.41":3.9315539063,"3.42":4.5644659205,"3.43":5.1744122388,"3.44":5.7704087184,"3.45":6.3265434062,"3.46":6.8438271076,"3.47":7.3094801693,"3.48":7.7301157457,"3.49":8.0920510244,"3.5":8.3704654689,"3.5100000000000002":8.5966657651,"3.52":8.7892510142,"3.5300000000000002":8.960400431,"3.54":9.0199367788,"3.5500000000000003":9.044098917,"3.56":9.0377227922,"3.5700000000000003":9.0046863802,"3.58":9.0325341635,"3.59":9.0819323839,"3.6":9.1529654305,"3.61":9.1997103108,"3.62":9.2439711667,"3.63":9.2630298973,"3.64":9.2854715335,"3.65":9.3213820326,"3.66":9.3759614996,"3.67":9.44231645,"3.68":9.4672771282,"3.69":9.4640243778,"3.7":9.4718011961,"3.71":9.4418622636,"3.72":9.3319519267,"3.73":9.4520060413,"3.74":9.3823702752,"3.75":9.2143742465,"3.7600000000000002":8.9968801914,"3.77":8.7602208773,"3.7800000000000002":8.5453293528,"3.79":8.4201120339,"3.8000000000000003":8.3228404389,"3.81":8.2556652041,"3.8200000000000003":8.1729394074,"3.83":8.0955319514,"3.84":8.0440271807,"3.85":8.021847525,"3.86":8.0143169477,"3.87":8.0023020394,"3.88":7.967536881,"3.89":7.9466540438,"3.9":7.9456842636,"3.91":7.975854937,"3.92":8.0429527537,"3.93":8.0772593409,"3.94":8.0975551645,"3.95":8.1874224004,"3.96":8.216573233,"3.97":8.171706375,"3.98":7.7595955376,"3.99":7.6490223382,"4.0":7.5389275296,"4.01":7.4264371124,"4.0200000000000005":7.3115106262,"4.03":7.0603841327,"4.04":6.7284549187,"4.05":6.4121177766,"4.0600000000000005":5.9837309129,"4.07":5.5133173482,"4.08":4.9740643043,"4.09":4.3841646449,"4.1":3.7330512483,"4.11":2.9106834718,"4.12":2.1847938641,"4.13":1.5296846791,"4.14":0.9494429116,"4.15":0.41950886,"4.16":0.0837818781,"4.17":0.0000532601,"4.18":0.0,"4.19":0.0,"4.2":0.0,"4.21":0.0,"4.22":0.0,"4.23":0.0,"4.24":0.0,"4.25":0.0,"4.26":0.0,"4.2700000000000005":0.0,"4.28":0.0,"4.29":0.0,"4.3":0.0,"4.3100000000000005":0.0,"4.32":0.0,"4.33":0.0,"4.34":0.0,"4.3500000000000005":0.0,"4.36":0.0,"4.37":0.0739670308,"4.38":0.1561269313,"4.39":0.3276843032,"4.4":0.8288104944,"4.41":1.4706060895,"4.42":2.1519325717,"4.43":2.8440207359,"4.44":3.5253598105,"4.45":4.2422245108,"4.46":5.0648402085,"4.47":5.7325429441,"4.48":6.2954723844,"4.49":6.8206963481,"4.5":7.3133910043,"4.51":7.750517768,"4.5200000000000005":8.1298640703,"4.53":8.4432771808,"4.54":8.6759252057,"4.55":8.8109086606,"4.5600000000000005":8.8408148379,"4.57":8.8184409793,"4.58":8.7306190364,"4.59":8.6068941919,"4.6000000000000005":8.3707591279,"4.61":8.0231052869,"4.62":7.6028999585,"4.63":6.9995182648,"4.64":6.4015046962,"4.65":5.7100583904,"4.66":4.992739839,"4.67":4.3073845057,"4.68":3.7310524417,"4.69":3.3470680703,"4.7":2.919137403,"4.71":2.5411378185,"4.72":2.2964972076,"4.73":1.9468920296,"4.74":1.7456077539,"4.75":1.6647635085,"4.76":1.7067820421,"4.7700000000000005":1.8264312909,"4.78":2.0076499705,"4.79":2.2663351944,"4.8":2.5450277539,"4.8100000000000005":3.1149680962,"4.82":3.8239682725,"4.83":4.6062811514,"4.84":4.8094325004,"4.8500000000000005":5.1630255472,"4.86":5.4319156271,"4.87":5.7394059774,"4.88":5.6947970981,"4.89":5.6702853306,"4.9":6.0700591258,"4.91":5.9618478263,"4.92":5.7414461086,"4.93":5.512951317,"4.94":5.2562484571,"4.95":4.7830870428,"4.96":4.350277069,"4.97":3.995602508,"4.98":3.6916329488,"4.99":3.4255882864,"5.0":3.1983184379,"5.01":3.0103517813,"5.0200000000000005":2.8619232306,"5.03":2.7531628675,"5.04":2.6839761052,"5.05":2.6541295111,"5.0600000000000005":2.6633731714,"5.07":2.7115653581,"5.08":2.7985512491,"5.09":2.9242857267,"5.1000000000000005":3.0889149482,"5.11":3.2928138249,"5.12":3.536371691,"5.13":3.8200067345,"5.14":4.1013758178,"5.15":4.3351604034,"5.16":4.8215486096,"5.17":5.1180670038,"5.18":4.9576815348,"5.19":4.7242454894,"5.2":4.7778369239,"5.21":4.7487321621,"5.22":4.489993827,"5.23":4.0055954395,"5.24":3.2871018636,"5.25":2.3361909447,"5.26":1.5797234129,"5.2700000000000005":0.7914901171,"5.28":0.0845345608,"5.29":0.0,"5.3":0.0,"5.3100000000000005":0.0,"5.32":0.0,"5.33":0.0,"5.34":0.0,"5.3500000000000005":0.0,"5.36":0.0,"5.37":0.0230805527,"5.38":0.1500885463,"5.39":0.3622694088,"5.4":1.1121054301,"5.41":2.4526162318,"5.42":3.9716549376,"5.43":5.7057172483,"5.44":7.8027467353,"5.45":9.3528458437,"5.46":10.7510804786,"5.47":11.8804971171,"5.48":12.5790363942,"5.49":12.0981897784,"5.5":11.1738564022,"5.51":10.2180596444,"5.5200000000000005":9.1709979703,"5.53":8.0350161594,"5.54":6.8696852922,"5.55":5.7125569987,"5.5600000000000005":4.5879474474,"5.57":3.5136488887,"5.58":2.5061849594,"5.59":1.5803876457,"5.6000000000000005":0.7506443877,"5.61":0.0007674563,"5.62":0.0000211956,"5.63":0.0,"5.64":0.0,"5.65":0.0,"5.66":0.0,"5.67":0.0,"5.68":0.0,"5.69":0.0,"5.7":0.0,"5.71":0.0,"5.72":0.0,"5.73":0.0,"5.74":0.4931322251,"5.75":1.1066971855,"5.76":1.7118760829,"5.7700000000000005":2.2900488525,"5.78":2.8766632428,"5.79":3.4619974396,"5.8":4.0443201763,"5.8100000000000005":4.6708253882,"5.82":5.3143362533,"5.83":5.9694471618,"5.84":6.3653087801,"5.8500000000000005":6.5630303552,"5.86":6.7513300263,"5.87":6.9127785217,"5.88":7.0876422306,"5.89":7.1658856333,"5.9":7.4086501648,"5.91":7.6016068898,"5.92":7.7929789166,"5.93":7.8727776175,"5.94":7.5328827504,"5.95":7.1669618622,"5.96":6.9477453121,"5.97":6.7849828958,"5.98":6.6489959701,"5.99":6.5308573247,"6.0":6.4294403011,"6.01":6.0904513368,"6.0200000000000005":5.7410327737,"6.03":5.4811305567,"6.04":5.2503117292,"6.05":5.0303734607,"6.0600000000000005":5.1955371376,"6.07":5.2799044974,"6.08":5.3352256234,"6.09":5.3452576346,"6.1000000000000005":4.6481748256,"6.11":2.6971053452,"6.12":1.1969728514,"6.13":1.2497631121,"6.140000000000001":0.8549190283,"6.15":0.4825356215,"6.16":0.1692673068,"6.17":0.0006447329,"6.18":0.0,"6.19":0.0,"6.2":0.0,"6.21":0.0,"6.22":0.0,"6.23":0.0,"6.24":0.0,"6.25":0.0,"6.26":0.0,"6.2700000000000005":0.0,"6.28":0.0,"6.29":0.0,"6.3":0.0,"6.3100000000000005":0.0,"6.32":0.0,"6.33":0.0,"6.34":0.0684122021,"6.3500000000000005":0.9830246221,"6.36":1.9622046705,"6.37":3.0981557045,"6.38":4.0247224862,"6.390000000000001":4.7478850532,"6.4":5.2823797849,"6.41":5.6363787441,"6.42":5.9684768923,"6.43":6.3319995068,"6.44":6.5938218137,"6.45":6.6946801664,"6.46":6.8004445163,"6.47":6.8772411619,"6.48":6.9177341311,"6.49":6.8846756045,"6.5":6.8884164676,"6.51":6.9295878778,"6.5200000000000005":6.9876568556,"6.53":7.0645711725,"6.54":7.1571351777,"6.55":7.2615702258,"6.5600000000000005":7.3743169172,"6.57":7.4914378955,"6.58":7.6087613168,"6.59":7.7145711805,"6.6000000000000005":7.8043037192,"6.61":7.8764526343,"6.62":7.9266358441,"6.63":7.9532718717,"6.640000000000001":7.9549001088,"6.65":7.9324067749,"6.66":7.8780778064,"6.67":7.8025113384,"6.68":7.7122732823,"6.69":7.6099921961,"6.7":7.4981968164,"6.71":7.3773767179,"6.72":7.2512957592,"6.73":7.1219763722,"6.74":6.9761206465,"6.75":6.8105078003,"6.76":6.6542185852,"6.7700000000000005":6.5109971496,"6.78":6.3844301049,"6.79":6.2767973467,"6.8":6.1836810695,"6.8100000000000005":6.1203049152,"6.82":6.0898993545,"6.83":6.0956487188,"6.84":6.1413505226,"6.8500000000000005":6.2297158386,"6.86":6.3614549092,"6.87":6.5323322759,"6.88":6.7535189803,"6.890000000000001":6.8441013557,"6.9":7.121104368,"6.91":7.4510563067,"6.92":7.8914022844,"6.93":8.135132019,"6.94":8.3712547389,"6.95":8.4477489098,"6.96":8.3418492952,"6.97":8.1173845274,"6.98":7.710494858,"6.99":7.1185866987,"7.0":6.3750782173,"7.01":5.2963255592,"7.0200000000000005":4.3342748905,"7.03":3.54401408,"7.04":2.9447261828,"7.05":2.5348115755,"7.0600000000000005":2.3135621696,"7.07":2.2908165884,"7.08":2.4785638747,"7.09":2.88310098,"7.1000000000000005":3.5165529799,"7.11":4.3941230515,"7.12":5.5146518583,"7.13":6.8623605276,"7.140000000000001":8.5048600885,"7.15":10.0746896077,"7.16":11.4102710973,"7.17":12.6306968932,"7.18":13.6901173672,"7.19":14.5316693368,"7.2":15.2271975634,"7.21":15.6418672964,"7.22":16.0303066746,"7.23":15.96937648,"7.24":15.7318218475,"7.25":15.2040176524,"7.26":14.1229828241,"7.2700000000000005":13.2474964049,"7.28":12.3753221626,"7.29":11.510796297,"7.3":10.6997308394,"7.3100000000000005":9.9229190643,"7.32":9.228629023,"7.33":8.6120527789,"7.34":8.0886936841,"7.3500000000000005":7.6602964103,"7.36":7.3248018474,"7.37":7.0790732654,"7.38":6.9215434329,"7.390000000000001":6.8345426342,"7.4":6.8071333192,"7.41":6.8078730178,"7.42":6.8309610705,"7.43":6.839852547,"7.44":7.0019701378,"7.45":6.9813700802,"7.46":7.0872435849,"7.47":6.9698066351,"7.48":6.7997058108,"7.49":6.6822000213,"7.5":6.3463089193,"7.51":6.0380852724,"7.5200000000000005":5.8372172961,"7.53":5.7001520292,"7.54":5.4701246115,"7.55":5.2439111323,"7.5600000000000005":4.9105595123,"7.57":4.5677313231,"7.58":4.1420674694,"7.59":3.6547355092,"7.6000000000000005":3.0563028036,"7.61":2.4622262848,"7.62":1.8631768686,"7.63":1.2640659966,"7.640000000000001":0.6926462079,"7.65":0.221752913,"7.66":0.0417556732,"7.67":0.0,"7.68":0.0,"7.69":0.0,"7.7":0.0,"7.71":0.0,"7.72":0.0,"7.73":0.0,"7.74":0.0,"7.75":0.0,"7.76":0.0,"7.7700000000000005":0.0,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0,"7.82":0.0,"7.83":0.0,"7.84":0.0,"7.8500000000000005":0.0,"7.86":0.0,"7.87":0.0,"7.88":0.0,"7.890000000000001":0.0,"7.9":0.0,"7.91":0.0,"7.92":0.1388175388,"7.930000000000001":0.6311296092,"7.94":1.0838338318,"7.95":1.3829832212,"7.96":1.6320536516,"7.97":2.1123413441,"7.98":3.5239943164,"7.99":3.7551329058,"8.0":3.8702365085,"8.01":3.9348712219,"8.02":3.9704346358,"8.03":3.9922280646,"8.040000000000001":4.0027660935,"8.05":4.0030955027,"8.06":3.9968702904,"8.07":3.9975532679,"8.08":3.9901258633,"8.09":3.9735548209,"8.1":3.9467471451,"8.11":3.9099380578,"8.120000000000001":3.9073389688,"8.13":4.2234049523,"8.14":4.6324862084,"8.15":5.0847711546,"8.16":5.680690509,"8.17":6.2219681006,"8.18":6.4310716602,"8.19":6.5764395753,"8.2":6.8066586533,"8.21":7.0507964955,"8.22":7.2600577576,"8.23":7.4631665072,"8.24":7.6554150462,"8.25":7.7972611278,"8.26":7.9378532074,"8.27":8.0571605864,"8.28":8.1539337429,"8.290000000000001":8.2401528675,"8.3":8.3195019818,"8.31":8.3576341119,"8.32":8.3791096384,"8.33":8.4228048428,"8.34":8.4955405978,"8.35":8.6057416294,"8.36":8.7625318612,"8.370000000000001":8.9741121761,"8.38":9.2565930701,"8.39":9.6124883491,"8.4":9.9843429978,"8.41":10.3444882571,"8.42":10.6591096699,"8.43":10.7120913721,"8.44":10.6182994244,"8.45":10.452830323,"8.46":10.2263127414,"8.47":9.9709701066,"8.48":9.6663520876,"8.49":9.272945954,"8.5":8.8090840496,"8.51":8.271675109,"8.52":7.6691891944,"8.53":7.0298848009,"8.540000000000001":6.352633119,"8.55":5.6644531936,"8.56":4.9760915481,"8.57":4.2930018572,"8.58":3.6216773881,"8.59":2.970455349,"8.6":2.290819902,"8.61":1.7158149199,"8.620000000000001":1.2110972252,"8.63":0.7969785434,"8.64":0.4634192207,"8.65":0.2451008567,"8.66":0.0412591999,"8.67":0.0242310281,"8.68":0.0201466949,"8.69":0.0297366034,"8.700000000000001":0.0703682558,"8.71":0.3565823766,"8.72":0.5662127767,"8.73":0.9081367784,"8.74":1.3227903565,"8.75":1.7865498765,"8.76":2.3584504999,"8.77":2.9211818069,"8.78":3.4939128078,"8.790000000000001":4.0914814265,"8.8":4.7181144114,"8.81":5.3757947614,"8.82":6.0361855809,"8.83":6.6914533038,"8.84":7.320230427,"8.85":7.7692740745,"8.86":8.2657635544,"8.870000000000001":8.6947378719,"8.88":9.088386933,"8.89":9.4109740152,"8.9":9.7100371825,"8.91":9.7055472395,"8.92":9.6813051088,"8.93":9.480760338,"8.94":9.0719129423,"8.950000000000001":8.6857226009,"8.96":8.0914907234,"8.97":7.3908830624,"8.98":6.5489530636,"8.99":5.5744312653,"9.0":4.3739034577,"9.01":3.1309908007,"9.02":1.9824460029,"9.03":0.985129043,"9.040000000000001":0.1043969786,"9.05":0.0,"9.06":0.0,"9.07":0.0,"9.08":0.0,"9.09":0.0,"9.1":0.0,"9.11":0.0,"9.120000000000001":0.0,"9.13":0.0,"9.14":0.0,"9.15":0.0,"9.16":0.0,"9.17":0.0,"9.18":0.0,"9.19":0.0,"9.200000000000001":0.0,"9.21":0.0,"9.22":0.0,"9.23":0.0,"9.24":0.0,"9.25":0.0,"9.26":0.0,"9.27":0.0,"9.28":0.0,"9.290000000000001":0.0,"9.3":0.0,"9.31":0.0,"9.32":0.0,"9.33":0.0,"9.34":0.0,"9.35":0.0,"9.36":0.0,"9.370000000000001":0.0,"9.38":0.0,"9.39":0.0,"9.4":0.0,"9.41":0.0,"9.42":0.0,"9.43":0.0,"9.44":0.0,"9.450000000000001":0.0,"9.46":0.0,"9.47":0.0,"9.48":0.0,"9.49":0.0,"9.5":0.000001981,"9.51":0.0000769004,"9.52":0.0606435027,"9.53":0.2002583594,"9.540000000000001":0.4899387903,"9.55":1.0882711262,"9.56":1.7674931416,"9.57":2.5831019751,"9.58":3.4829077773,"9.59":4.4908120892,"9.6":5.3954711375,"9.61":6.1993207971,"9.620000000000001":6.8624213927,"9.63":7.461280386,"9.64":7.8340661499,"9.65":7.9870089268,"9.66":8.1812523623,"9.67":8.5291956672,"9.68":8.6719533803,"9.69":8.8080479987,"9.700000000000001":8.8028122656,"9.71":8.6984638778,"9.72":8.1672977045,"9.73":7.8625290187,"9.74":7.6821798901,"9.75":7.4840196263,"9.76":7.2716422785,"9.77":7.1525986343,"9.78":7.1031392721,"9.790000000000001":7.1251324635,"9.8":7.226895253,"9.81":7.4330695284,"9.82":7.6951708455,"9.83":7.7572337791,"9.84":7.7897484741,"9.85":7.8688208945,"9.86":7.9633550058,"9.870000000000001":8.2102640636,"9.88":8.3707206367,"9.89":8.5374806118,"9.9":8.6875284295,"9.91":8.7640325354,"9.92":8.835476927,"9.93":8.7176296037,"9.94":8.8244370847,"9.950000000000001":8.9518626963,"9.96":9.1016775529,"9.97":9.2003635594,"9.98":9.1829402642,"9.99":9.147573468,"10.0":9.0765782095,"10.01":8.8871591191,"10.02":8.6186120081,"10.03":8.3643103051,"10.040000000000001":8.0981789986,"10.05":7.7631818928,"10.06":7.4742037876,"10.07":7.1966057121,"10.08":6.937249128,"10.09":6.7334895317,"10.1":6.5871216322,"10.11":6.4967713899,"10.120000000000001":6.4628802839,"10.13":6.4851293097,"10.14":6.5620600365,"10.15":6.6731058566,"10.16":6.7883293598,"10.17":6.9439289687,"10.18":7.0600403135,"10.19":7.1764667968,"10.200000000000001":7.326032508,"10.21":7.5130389861,"10.22":7.6316354906,"10.23":7.9828500814,"10.24":8.0575193022,"10.25":8.1521100512,"10.26":8.2662812878,"10.27":8.3994781021,"10.28":8.5515773191,"10.290000000000001":8.6650447617,"10.3":8.4700420728,"10.31":8.5923177014,"10.32":8.7472262318,"10.33":8.9304617284,"10.34":9.1369239831,"10.35":9.3640512931,"10.36":9.6079029337,"10.370000000000001":9.8653675119,"10.38":10.1388540054,"10.39":10.3929542942,"10.4":10.6599645631,"10.41":10.9364326443,"10.42":11.2073693948,"10.43":11.4332146742,"10.44":11.6418263338,"10.450000000000001":11.802132973,"10.46":11.9273326175,"10.47":11.9857385366,"10.48":12.0177790619,"10.49":11.9203941216,"10.5":11.7774862229,"10.51":11.6135303522,"10.52":11.4251925657,"10.53":11.2177664763,"10.540000000000001":10.9397099545,"10.55":10.6330221071,"10.56":10.3367918698,"10.57":10.0462435113,"10.58":9.7648453254,"10.59":9.4974811417,"10.6":9.2475628879,"10.61":9.0203510399,"10.620000000000001":8.8162500918,"10.63":8.6383453851,"10.64":8.4879270299,"10.65":8.3649551595,"10.66":8.2680453545,"10.67":8.1977765233,"10.68":8.1358523648,"10.69":8.0384731283,"10.700000000000001":7.9614841432,"10.71":7.9032331499,"10.72":7.8670793877,"10.73":7.853831807,"10.74":7.8676835119,"10.75":7.9011427334,"10.76":7.9558505258,"10.77":8.0346802985,"10.78":8.1210902723,"10.790000000000001":8.1539730751,"10.8":8.1675915248,"10.81":8.1868502543,"10.82":8.2091113123,"10.83":8.2320639753,"10.84":8.2530748766,"10.85":8.2699616146,"10.86":8.2808163404,"10.870000000000001":8.2061283664,"10.88":8.0903054619,"10.89":7.9610682925,"10.9":7.8158583729,"10.91":7.6478604109,"10.92":7.4652616703,"10.93":7.2690594038,"10.94":7.0587967146,"10.950000000000001":6.7951526218,"10.96":6.4629912409,"10.97":6.1078842174,"10.98":5.7039042084,"10.99":5.2411693561,"11.0":4.7061090194,"11.01":4.2189454477,"11.02":3.64027476,"11.03":3.0693106048,"11.040000000000001":2.565895325,"11.05":2.1694461203,"11.06":1.8365172329,"11.07":1.7232875387,"11.08":1.6928581315,"11.09":1.6453972141,"11.1":1.6921154904,"11.11":1.7999033486,"11.120000000000001":2.0511991913,"11.13":2.4578876102,"11.14":2.9393084988,"11.15":3.5099592733,"11.16":4.1778106742,"11.17":4.7673162554,"11.18":5.3523524928,"11.19":5.9234184729,"11.200000000000001":6.4539293155,"11.21":6.9697067256,"11.22":7.4219888742,"11.23":7.8526550181,"11.24":8.2020438441,"11.25":8.4943217192,"11.26":8.77548059,"11.27":9.0476922806,"11.28":9.3107395131,"11.290000000000001":9.507394125,"11.3":9.59871509,"11.31":9.6798422862,"11.32":9.7497064518,"11.33":9.8087454617,"11.34":9.8572177194,"11.35":9.894833055,"11.36":9.9222144971,"11.370000000000001":9.9398695798,"11.38":9.9482285872,"11.39":9.9476988518,"11.4":9.9387979038,"11.41":9.922054974,"11.42":9.8980089288,"11.43":9.8672074697,"11.44":9.8302113532,"11.450000000000001":9.7877459852,"11.46":9.7403145081,"11.47":9.6886128642,"11.48":9.633186819,"11.49":9.5754071963,"11.5":9.5163344821,"11.51":9.4561959903,"11.52":9.3956754303,"11.53":9.3350623361,"11.540000000000001":9.2757339107,"11.55":9.2194292596,"11.56":9.1329574485,"11.57":9.1087781556,"11.58":8.844462591,"11.59":8.6228927674,"11.6":8.4025969543,"11.61":8.1712715159,"11.620000000000001":7.8206584965,"11.63":7.4558617107,"11.64":7.0980435463,"11.65":6.671462756,"11.66":6.3085023669,"11.67":5.9467257078,"11.68":5.5312778552,"11.69":5.1727157809,"11.700000000000001":4.8501508896,"11.71":4.5795729139,"11.72":4.3692489887,"11.73":4.1852592127,"11.74":4.0264281488,"11.75":3.9568715936,"11.76":3.9539117163,"11.77":4.0025918414,"11.78":4.0702425647,"11.790000000000001":4.1736591105,"11.8":4.3238989293,"11.81":4.5082692653,"11.82":4.7328011097,"11.83":4.9552514223,"11.84":5.174929865,"11.85":5.420908944,"11.86":5.6837330363,"11.870000000000001":5.954726154,"11.88":6.1602493334,"11.89":6.2768701215,"11.9":6.3913524007,"11.91":6.503492224,"11.92":6.6137309118,"11.93":6.8103689869,"11.94":6.699866887,"11.950000000000001":6.597398738,"11.96":6.5475770262,"11.97":6.4810309124,"11.98":5.9102597877,"11.99":5.5494146211,"12.0":5.1102838042,"12.01":4.5099031064,"12.02":3.8821329886,"12.030000000000001":3.1094077856,"12.040000000000001":1.9091505628,"12.05":1.245675775,"12.06":0.1727201035,"12.07":0.0,"12.08":0.0,"12.09":0.0,"12.1":0.0,"12.11":0.0,"12.120000000000001":0.0,"12.13":0.0,"12.14":0.0,"12.15":0.0,"12.16":0.0,"12.17":0.0,"12.18":0.0,"12.19":0.0,"12.200000000000001":0.0,"12.21":0.0,"12.22":0.0,"12.23":0.0,"12.24":0.0,"12.25":0.0,"12.26":0.0,"12.27":0.0,"12.280000000000001":0.0,"12.290000000000001":0.0,"12.3":0.0,"12.31":0.0472786338,"12.32":0.1273687519,"12.33":0.2025506194,"12.34":0.3839584255,"12.35":0.7543461439,"12.36":1.3179850558,"12.370000000000001":1.9017079801,"12.38":2.5025603881,"12.39":3.1153378778,"12.4":3.8061416313,"12.41":4.5967003731,"12.42":5.513809928,"12.43":6.2183803645,"12.44":6.8473300636,"12.450000000000001":7.4165819053,"12.46":7.9022963786,"12.47":8.2662143858,"12.48":8.5514997476,"12.49":8.7327605378,"12.5":8.9301191347,"12.51":8.9674330485,"12.52":8.8809933596,"12.530000000000001":8.7970688191,"12.540000000000001":9.0154914669,"12.55":8.9528458445,"12.56":8.8250736021,"12.57":8.5177575045,"12.58":8.2698868143,"12.59":8.0299337438,"12.6":7.8991117601,"12.61":7.7709193393,"12.620000000000001":7.6447793784,"12.63":7.5289662022,"12.64":7.4304765797,"12.65":7.3778178994,"12.66":7.3549762086,"12.67":7.3594289942,"12.68":7.3953304237,"12.69":7.4426768113,"12.700000000000001":7.4270736027,"12.71":7.4424922081,"12.72":7.4813040212,"12.73":7.5345547564,"12.74":7.5937264977,"12.75":7.3910792176,"12.76":7.0099550192,"12.77":6.916975084,"12.780000000000001":6.8194202611,"12.790000000000001":6.5964449083,"12.8":6.2548376351,"12.81":5.7883130144,"12.82":5.2648120047,"12.83":4.6868712656,"12.84":4.0865733855,"12.85":3.4614388993,"12.86":2.9455641473,"12.870000000000001":2.5484240654,"12.88":2.2474392573,"12.89":2.0698491813,"12.9":1.9718237946,"12.91":1.9750538919,"12.92":2.0791853822,"12.93":2.2793209602,"12.94":2.5705033048,"12.950000000000001":2.9471724747,"12.96":3.40266326,"12.97":3.9310550823,"12.98":4.5303596999,"12.99":5.2368497393,"13.0":5.8093329667,"13.01":6.3328252441,"13.02":6.8221017243,"13.030000000000001":7.2676751613,"13.040000000000001":7.6687674612,"13.05":8.0489399133,"13.06":8.3395134547,"13.07":8.6146829495,"13.08":8.8688631309,"13.09":9.026253722,"13.1":9.1742139311,"13.11":9.3111475581,"13.120000000000001":9.4364250084,"13.13":9.5489740298,"13.14":9.6479051406,"13.15":9.6464235174,"13.16":9.6147210903,"13.17":9.574154851,"13.18":9.5257113051,"13.19":9.4689819977,"13.200000000000001":9.403985873,"13.21":9.3311902616,"13.22":9.2511294365,"13.23":9.1645417192,"13.24":9.0729562362,"13.25":8.9787820287,"13.26":8.8816871215,"13.27":9.0769156675,"13.280000000000001":8.9929662659,"13.290000000000001":8.9118887493,"13.3":8.7701639008,"13.31":8.5272560914,"13.32":8.246132104,"13.33":8.0439278801,"13.34":7.8763552229,"13.35":7.689746065,"13.36":7.4883290377,"13.370000000000001":7.3169559894,"13.38":7.1716093092,"13.39":7.0690755647,"13.4":6.9784472774,"13.41":6.9042166993,"13.42":6.8595869243,"13.43":6.8322278003,"13.44":6.8275719889,"13.450000000000001":6.8476261342,"13.46":6.8898142276,"13.47":6.9589650101,"13.48":7.0420855103,"13.49":7.1522607312,"13.5":7.2878327561,"13.51":7.4241289402,"13.52":7.598282684,"13.530000000000001":7.7863015305,"13.540000000000001":7.934615473,"13.55":8.0645352463,"13.56":8.1985228193,"13.57":8.3887420051,"13.58":8.521705591,"13.59":8.6498002312,"13.6":8.5876528748,"13.61":8.4801594399,"13.620000000000001":8.4103096632,"13.63":8.3781825993,"13.64":8.3700543782,"13.65":8.383364293,"13.66":8.4137357062,"13.67":8.4322889964,"13.68":8.4376922533,"13.69":8.4713521347,"13.700000000000001":8.5299628777,"13.71":8.6115296609,"13.72":8.7132497543,"13.73":8.8312621963,"13.74":8.9610113141,"13.75":9.0991818705,"13.76":9.2427642999,"13.77":9.3830369848,"13.780000000000001":9.5159654775,"13.790000000000001":9.637224707,"13.8":9.742637962,"13.81":9.8287488037,"13.82":9.8929718268,"13.83":9.9335527414,"13.84":9.9495375,"13.85":9.9408419083,"13.86":9.9082432003,"13.870000000000001":9.8533842142,"13.88":9.7788014246,"13.89":9.6879576784,"13.9":9.5852373316,"13.91":9.4758133905,"13.92":9.3653716687,"13.93":9.2596217339,"13.94":9.1644468919,"13.950000000000001":9.0874852261,"13.96":9.0333991856,"13.97":9.0078649391,"13.98":9.018374877,"13.99":9.0673911229,"14.0":9.1078557074,"14.01":9.1322756803,"14.02":9.1843158794,"14.030000000000001":9.2694203414,"14.040000000000001":9.3979341809,"14.05":9.321747901,"14.06":9.2434274602,"14.07":9.1750545628,"14.08":9.1185403764,"14.09":9.3566624381,"14.1":9.0636022716,"14.11":8.8284294027,"14.120000000000001":8.6375584875,"14.13":8.4736675573,"14.14":8.2996550892,"14.15":8.1385885322,"14.16":7.9909872766,"14.17":7.8154833135,"14.18":7.6484839497,"14.19":7.5095025306,"14.200000000000001":7.4042823988,"14.21":7.3269619877,"14.22":7.2763038538,"14.23":7.2483768007,"14.24":7.2512698769,"14.25":7.2842129462,"14.26":7.3460100079,"14.27":7.437807321,"14.280000000000001":7.5111272822,"14.290000000000001":7.5971129154,"14.3":7.6990882275,"14.31":7.814183895,"14.32":7.9363697486,"14.33":8.0577843327,"14.34":8.2166976394,"14.35":8.4788514189,"14.36":8.6175233723,"14.370000000000001":8.6322147169,"14.38":8.6539965124,"14.39":8.6608890819,"14.4":8.6463383464,"14.41":8.3842000418,"14.42":8.1707624052,"14.43":7.9891164347,"14.44":7.8354151358,"14.450000000000001":7.7060023008,"14.46":7.5947841224,"14.47":7.4392912768,"14.48":7.2782756308,"14.49":7.1350303292,"14.5":7.0072668,"14.51":6.854386844,"14.52":6.7080660965,"14.530000000000001":6.568986073,"14.540000000000001":6.4335172886,"14.55":6.2795935698,"14.56":6.1237912696,"14.57":5.9665349423,"14.58":5.8069492184,"14.59":5.6305393664,"14.6":5.4545080167,"14.61":5.2798680649,"14.620000000000001":5.0762328267,"14.63":4.9120916196,"14.64":4.7303602963,"14.65":4.5485126337,"14.66":4.4242808329,"14.67":4.3006532629,"14.68":4.2099541085,"14.69":4.1334127962,"14.700000000000001":4.150187632,"14.71":4.2644217083,"14.72":4.3744265819,"14.73":4.5494751948,"14.74":4.7944350593,"14.75":5.0670868666,"14.76":5.3418547647,"14.77":5.6701202378,"14.780000000000001":5.9821485639,"14.790000000000001":6.2856003474,"14.8":6.5834940461,"14.81":6.8304318306,"14.82":6.9964213431,"14.83":7.1971848688,"14.84":7.4558926814,"14.85":7.6492084899,"14.86":7.9311706349,"14.870000000000001":8.0216044441,"14.88":8.0085623033,"14.89":7.9884479278,"14.9":7.9854528642,"14.91":7.9807581216,"14.92":7.956350897,"14.93":7.9295879888,"14.94":7.8952618665,"14.950000000000001":7.8578397305,"14.96":7.8191746108,"14.97":7.7608668496,"14.98":7.7231167486,"14.99":7.7029816017,"15.0":7.6985797243,"15.01":7.6871923736,"15.02":7.6859747075,"15.030000000000001":7.695354362,"15.040000000000001":7.7131251477,"15.05":7.7405003394,"15.06":7.7737922762,"15.07":7.8117873584,"15.08":7.8490347218,"15.09":7.8873924206,"15.1":7.9165058967,"15.11":7.9445599756,"15.120000000000001":7.999379293,"15.13":8.0683079899,"15.14":8.1386170884,"15.15":8.1157806199,"15.16":8.0584103259,"15.17":8.0422946627,"15.18":8.034598704,"15.19":8.0461789417,"15.200000000000001":8.0693490187,"15.21":8.1004193574,"15.22":8.1269269668,"15.23":8.1600558393,"15.24":8.197952739,"15.25":8.238961731,"15.26":8.2815687553,"15.27":8.3243827697,"15.280000000000001":8.3661243309,"15.290000000000001":8.4056622208,"15.3":8.4420762104,"15.31":8.4747114723,"15.32":8.5032229221,"15.33":8.5276149919,"15.34":8.5482043637,"15.35":8.5656155171,"15.36":8.5807363988,"15.370000000000001":8.5946601914,"15.38":8.608618331,"15.39":8.6239081976,"15.4":8.6418212806,"15.41":8.6635753112,"15.42":8.6902541618,"15.43":8.7227968387,"15.44":8.7619605538,"15.450000000000001":8.8080346353,"15.46":8.8501420544,"15.47":8.8845418059,"15.48":8.9208728152,"15.49":8.6675821353,"15.5":8.711093794,"15.51":8.756080538,"15.52":8.8019979362,"15.530000000000001":8.8480694801,"15.540000000000001":8.8945873409,"15.55":8.9410012161,"15.56":8.9865851889,"15.57":9.0307318451,"15.58":9.0734263903,"15.59":9.1140233625,"15.6":9.1520371581,"15.610000000000001":9.187021213,"15.620000000000001":9.2190457354,"15.63":9.2470711141,"15.64":9.2713688052,"15.65":9.2916486334,"15.66":9.3077444198,"15.67":9.2364680026,"15.68":9.1097433,"15.69":8.9752122558,"15.700000000000001":8.8349589394,"15.71":8.6892221205,"15.72":8.5263995346,"15.73":8.2570585831,"15.74":7.9877499854,"15.75":7.6545219865,"15.76":7.2954024115,"15.77":6.8821182331,"15.780000000000001":6.4499096578,"15.790000000000001":6.0016083304,"15.8":5.5385931573,"15.81":4.9936069192,"15.82":4.4387274115,"15.83":3.9983396422,"15.84":3.6324185704,"15.85":3.337201657,"15.860000000000001":3.1133591455,"15.870000000000001":2.9574127711,"15.88":2.8645814957,"15.89":2.8305556043,"15.9":2.8515372895,"15.91":2.9243078752,"15.92":3.0462773646,"15.93":3.2155214369,"15.94":3.4308363555,"15.950000000000001":3.6893502188,"15.96":3.9874256155,"15.97":4.3236384136,"15.98":4.7154029795,"15.99":5.1690730011,"16.0":5.5425998177,"16.01":5.877470741,"16.02":6.2077329636,"16.03":6.5269824476,"16.04":6.8341659366,"16.05":7.1329251412,"16.06":7.4148668531,"16.07":7.6573081437,"16.080000000000002":7.8826375472,"16.09":8.08259773,"16.1":8.2146919358,"16.11":8.3636515467,"16.12":8.5344112779,"16.13":8.6845252467,"16.14":8.6686259201,"16.15":8.9553251128,"16.16":8.9573338028,"16.17":8.964148069,"16.18":8.9749792134,"16.19":8.9894302909,"16.2":8.7750040097,"16.21":8.5896365975,"16.22":8.4581121017,"16.23":8.3493834292,"16.240000000000002":8.2563604229,"16.25":8.1775271903,"16.26":8.1137625251,"16.27":8.0668804771,"16.28":8.0381007221,"16.29":8.0266120418,"16.3":8.0324778476,"16.31":8.0549452419,"16.32":8.0946010104,"16.330000000000002":8.151057697,"16.34":8.2249019263,"16.35":8.3150525688,"16.36":8.4195243101,"16.37":8.5246156465,"16.38":8.63420704,"16.39":8.7622492662,"16.4":8.9129073925,"16.41":9.0941488722,"16.42":9.2893705037,"16.43":9.0169241688,"16.44":9.0321190847,"16.45":9.0461240818,"16.46":9.0570180353,"16.47":9.0655377854,"16.48":9.0693449104,"16.490000000000002":9.0374365143,"16.5":8.8830442707,"16.51":8.7458612659,"16.52":8.6217306948,"16.53":8.5085356156,"16.54":8.404316621,"16.55":8.3075723175,"16.56":8.2171455944,"16.57":8.1318420402,"16.580000000000002":8.0506452847,"16.59":7.97279549,"16.6":7.8988641583,"16.61":7.8286200421,"16.62":7.761792717,"16.63":7.699050467,"16.64":7.6415553945,"16.65":7.5902148128,"16.66":7.5503137587,"16.67":7.5256644303,"16.68":7.5121379812,"16.69":7.5116623477,"16.7":7.5290832446,"16.71":7.5688024293,"16.72":7.6326591029,"16.73":7.7073104594,"16.740000000000002":7.7959926252,"16.75":7.9272986045,"16.76":8.1155856182,"16.77":8.2619249815,"16.78":8.2895922784,"16.79":8.3300157079,"16.8":8.3758879788,"16.81":8.4347728087,"16.82":8.5075096664,"16.830000000000002":8.5940580563,"16.84":8.5480768237,"16.85":8.483293963,"16.86":8.461995652,"16.87":8.4633114647,"16.88":8.4790392744,"16.89":8.4895424894,"16.9":8.5055272226,"16.91":8.5305778268,"16.92":8.5637662463,"16.93":8.5835311548,"16.94":8.6034588047,"16.95":8.6426152718,"16.96":8.6946818407,"16.97":8.7604055432,"16.98":8.6631386656,"16.990000000000002":8.75101757,"17.0":8.8465427554,"17.01":8.9472286344,"17.02":9.050515608,"17.03":9.1258068813,"17.04":9.1961786646,"17.05":9.2647558291,"17.06":9.3385783228,"17.07":9.4129912306,"17.080000000000002":9.4852119811,"17.09":9.5539895963,"17.1":9.556081092,"17.11":9.5048520432,"17.12":9.4508256637,"17.13":9.3950650115,"17.14":9.3374260689,"17.150000000000002":9.2791038478,"17.16":9.2206929707,"17.17":9.1626305764,"17.18":9.1050330041,"17.19":9.0487526374,"17.2":8.9938413523,"17.21":8.9396861548,"17.22":8.8872918834,"17.23":8.8370009697,"17.240000000000002":8.7871739299,"17.25":9.0318631818,"17.26":8.9897032318,"17.27":8.9484033546,"17.28":8.9077549549,"17.29":8.8679344849,"17.3":8.8287280058,"17.31":8.7899828777,"17.32":8.7516412678,"17.330000000000002":8.713694891,"17.34":8.6328075998,"17.35":8.4993450818,"17.36":8.3664236316,"17.37":8.2395738548,"17.38":8.120496542,"17.39":8.0003165253,"17.400000000000002":7.8854048357,"17.41":7.7766263939,"17.42":7.6744261275,"17.43":7.5791233246,"17.44":7.4909022118,"17.45":7.4099342327,"17.46":7.3367784068,"17.47":7.2723856483,"17.48":7.2166563408,"17.490000000000002":7.1364775126,"17.5":7.0510233541,"17.51":6.971738572,"17.52":6.8972457901,"17.53":6.8278563031,"17.54":6.7634502365,"17.55":6.6713622946,"17.56":6.574211071,"17.57":6.4772297133,"17.580000000000002":6.3694045579,"17.59":6.2426420533,"17.6":6.1138917964,"17.61":5.9642675183,"17.62":5.8080668325,"17.63":5.6379764142,"17.64":5.4636997091,"17.650000000000002":5.2728159028,"17.66":5.0790450578,"17.67":4.8652618901,"17.68":4.6387360058,"17.69":4.3864034934,"17.7":4.1871768456,"17.71":4.0080917593,"17.72":3.8556309875,"17.73":3.7334493975,"17.740000000000002":3.6426725502,"17.75":3.5840969356,"17.76":3.5584679357,"17.77":3.5667259777,"17.78":3.6099315841,"17.79":3.6895672385,"17.8":3.8061936787,"17.81":3.9542360261,"17.82":4.1371295841,"17.830000000000002":4.35945658,"17.84":4.6494575011,"17.85":4.9179942503,"17.86":5.1895556834,"17.87":5.4706885436,"17.88":5.7658370314,"17.89":6.0650270325,"17.900000000000002":6.3698512737,"17.91":6.6786841837,"17.92":6.9723274729,"17.93":7.2369238425,"17.94":7.4882957724,"17.95":7.7180584822,"17.96":7.8799063779,"17.97":8.0542682583,"17.98":8.2482093967,"17.990000000000002":8.4624167993,"18.0":8.7105425436,"18.01":8.785909609,"18.02":8.7990333038,"18.03":8.8121033606,"18.04":8.8168210858,"18.05":8.7871361046,"18.06":8.7452887621,"18.07":8.535854487,"18.080000000000002":8.3680078744,"18.09":8.2212019563,"18.1":8.0924444516,"18.11":8.0107888509,"18.12":7.9465272778,"18.13":7.8824653834,"18.14":7.8306962513,"18.150000000000002":7.7922546247,"18.16":7.7677050258,"18.17":7.7571988228,"18.18":7.7607033268,"18.19":7.778013395,"18.2":7.8083430769,"18.21":7.8509693168,"18.22":7.9049188659,"18.23":7.9693201653,"18.240000000000002":8.0456557563,"18.25":8.1482862527,"18.26":8.2949973107,"18.27":8.356678173,"18.28":8.399202251,"18.29":8.447081753,"18.3":8.4665348449,"18.31":8.4906726524,"18.32":8.5205853267,"18.330000000000002":8.5505971736,"18.34":8.3801133722,"18.35":8.2122339959,"18.36":8.0767509824,"18.37":7.963646412,"18.38":7.869989194,"18.39":7.7931477024,"18.400000000000002":7.7342712301,"18.41":7.6913654122,"18.42":7.6623832298,"18.43":7.6456533979,"18.44":7.6189753629,"18.45":7.6075853474,"18.46":7.6178144249,"18.47":7.6479178681,"18.48":7.6987945783,"18.490000000000002":7.7697966655,"18.5":7.8386650925,"18.51":7.9065691494,"18.52":7.9839025009,"18.53":8.0705670357,"18.54":8.1665754688,"18.55":8.2721485406,"18.56":8.3877780514,"18.57":8.5143508355,"18.580000000000002":8.6529364202,"18.59":8.7403411513,"18.6":8.7619658907,"18.61":8.7856431766,"18.62":8.8114210251,"18.63":8.8396626677,"18.64":8.8697917782,"18.650000000000002":8.9015451493,"18.66":8.9345617361,"18.67":8.9683835799,"18.68":9.0024653694,"18.69":9.0361968309,"18.7":9.068637582,"18.71":9.0994711091,"18.72":9.1283621018,"18.73":9.1543295014,"18.740000000000002":9.1767681739,"18.75":9.1946150471,"18.76":9.2077197069,"18.77":9.2162322184,"18.78":9.2202922219,"18.79":9.2193411976,"18.8":9.2133982582,"18.81":9.2026353745,"18.82":9.1871333106,"18.830000000000002":9.1677732919,"18.84":9.144874854,"18.85":9.1190401382,"18.86":9.0909302343,"18.87":9.0612467152,"18.88":9.0305145832,"18.89":8.999561379,"18.900000000000002":8.9691746382,"18.91":8.9397001961,"18.92":8.9115799884,"18.93":8.8701350938,"18.94":8.8383231,"18.95":8.8161870147,"18.96":8.8027580771,"18.97":8.7969498794,"18.98":8.7975949141,"18.990000000000002":8.8022123326,"19.0":8.8056096557,"19.01":8.8092286805,"19.02":8.8165014524,"19.03":8.827055334,"19.04":8.8407028355,"19.05":8.8571232585,"19.06":8.8759581524,"19.07":8.8968129445,"19.080000000000002":8.9196407931,"19.09":8.9355726212,"19.1":8.9446720854,"19.11":8.9528167057,"19.12":8.9605985703,"19.13":8.9674158987,"19.14":8.9728862572,"19.150000000000002":8.9774451521,"19.16":8.981187151,"19.17":8.9828762997,"19.18":8.9825450478,"19.19":8.9796895276,"19.2":8.9736988912,"19.21":8.9639339101,"19.22":8.9497576731,"19.23":8.9305834023,"19.240000000000002":8.9059163574,"19.25":8.8753918128,"19.26":8.838815036,"19.27":8.7960314232,"19.28":8.7469232641,"19.29":8.692788822,"19.3":8.6338886291,"19.31":8.5702471806,"19.32":8.5035340234,"19.330000000000002":8.4355570855,"19.34":8.3666924782,"19.35":8.2978089436,"19.36":8.2309362294,"19.37":8.1676879063,"19.38":8.1087263041,"19.39":8.0543117618,"19.400000000000002":8.0060673405,"19.41":7.9649128663,"19.42":7.9314611903,"19.43":7.9057995283,"19.44":7.8880542112,"19.45":7.8779618685,"19.46":7.8755080646,"19.47":7.8804408159,"19.48":7.8922903449,"19.490000000000002":7.9105363084,"19.5":7.9346292214,"19.51":7.9640550905,"19.52":7.998346224,"19.53":8.0371696133,"19.54":8.0803401216,"19.55":8.1278176762,"19.56":8.1797413177,"19.57":8.2365009843,"19.580000000000002":8.2987532265,"19.59":8.3676373145,"19.6":8.4451845036,"19.61":8.5318292783,"19.62":8.5763720952,"19.63":8.5774844149,"19.64":8.8551432125,"19.650000000000002":8.8784376173,"19.66":8.8821987886,"19.67":8.8865248295,"19.68":8.8913263306,"19.69":8.8964548125,"19.7":8.9018284638,"19.71":8.9073151663,"19.72":8.9054911044,"19.73":8.8796121416,"19.740000000000002":8.7224283981,"19.75":8.5810232732,"19.76":8.4654523151,"19.77":8.3664457205,"19.78":8.2749771994,"19.79":8.1826600243,"19.8":8.099221535,"19.81":8.0278976198,"19.82":7.9903754404,"19.830000000000002":7.9608955533,"19.84":7.9347938399,"19.85":7.9159721626,"19.86":7.9069181585,"19.87":7.907548735,"19.88":7.9175861696,"19.89":7.9365939464,"19.900000000000002":7.9641896758,"19.91":8.0007134561,"19.92":8.0476296771,"19.93":8.1188767098,"19.94":8.2055447076,"19.95":8.2202669816,"19.96":8.2405065305,"19.97":8.2596750559,"19.98":8.2826800354,"19.990000000000002":8.3106754927},"3":{"1.5":8097877641641301.0,"1.51":8073335126801832.0,"1.52":8050973140361688.0,"1.53":8032274048341280.0,"1.54":8022651644887942.0,"1.55":8017156863702903.0,"1.56":8018238182080651.0,"1.57":8027766677639552.0,"1.58":8047531959718956.0,"1.59":8083379781507966.0,"1.6":8140836288655455.0,"1.61":8219885793266066.0,"1.62":8323157701076029.0,"1.6300000000000001":8453635579190097.0,"1.6400000000000001":8616214628281474.0,"1.6500000000000001":8815445984654524.0,"1.6600000000000001":9055882822750128.0,"1.67":9339783912973280.0,"1.68":9671710817448506.0,"1.69":1.005531355e+16,"1.7":1.049458067e+16,"1.71":1.099283556e+16,"1.72":1.155206063e+16,"1.73":1.220451752e+16,"1.74":1.296693922e+16,"1.75":1.380122022e+16,"1.76":1.470669222e+16,"1.77":1.568137823e+16,"1.78":1.672122171e+16,"1.79":1.783282173e+16,"1.8":1.911442567e+16,"1.81":2.053454038e+16,"1.82":2.199106265e+16,"1.83":2.345853219e+16,"1.84":2.498089968e+16,"1.85":2.650565345e+16,"1.86":2.802201373e+16,"1.87":2.952008642e+16,"1.8800000000000001":3.095393996e+16,"1.8900000000000001":3.231634222e+16,"1.9000000000000001":3.358039303e+16,"1.9100000000000001":3.472482653e+16,"1.92":3.572157591e+16,"1.93":3.655864499e+16,"1.94":3.721474779e+16,"1.95":3.767717716e+16,"1.96":3.793728193e+16,"1.97":3.798470204e+16,"1.98":3.781864448e+16,"1.99":3.744049143e+16,"2.0":3.685564091e+16,"2.0100000000000002":3.607333479e+16,"2.02":3.51061342e+16,"2.0300000000000002":3.396873897e+16,"2.04":3.268408606e+16,"2.05":3.127226998e+16,"2.06":2.975532391e+16,"2.07":2.816005004e+16,"2.08":2.650667362e+16,"2.09":2.482735048e+16,"2.1":2.314901326e+16,"2.11":2.149166286e+16,"2.12":1.986368425e+16,"2.13":1.830136116e+16,"2.14":1.679844248e+16,"2.15":1.538870043e+16,"2.16":1.40701844e+16,"2.17":1.283230153e+16,"2.18":1.175117003e+16,"2.19":1.074983193e+16,"2.2":9826527906524128.0,"2.21":8782836624088241.0,"2.22":8114712124227208.0,"2.23":7515171597675961.0,"2.24":6981049720155605.0,"2.25":6507325358885921.0,"2.2600000000000002":6087530991045727.0,"2.27":5817709947640683.0,"2.2800000000000002":5607678928831819.0,"2.29":5424438329706069.0,"2.3000000000000003":5265242093936367.0,"2.31":5131111573155386.0,"2.32":5016649157446437.0,"2.33":4931290198875085.0,"2.34":4851812304088543.0,"2.35":4810784898110205.0,"2.36":4758861751387639.0,"2.37":4761769959776041.0,"2.38":4776995978358720.0,"2.39":4776853035607458.0,"2.4":4771085544936603.0,"2.41":4758282899746715.0,"2.42":4751971040210849.0,"2.43":4723980647132321.0,"2.44":4688777381334878.0,"2.45":4607298041800688.0,"2.46":4520923065101592.0,"2.47":4417118284514338.0,"2.48":4334354647917015.0,"2.49":4275510793860339.5,"2.5":4190610006826974.0,"2.5100000000000002":3971089740162616.5,"2.52":3706385470459609.5,"2.5300000000000002":3474804059656835.5,"2.54":3343427867722366.0,"2.5500000000000003":3245904364432955.5,"2.56":3205689501638692.0,"2.57":3169747566387196.5,"2.58":3146260087994404.5,"2.59":3116170293161984.0,"2.6":3085823399763482.0,"2.61":3062142746739350.5,"2.62":3052233028560778.5,"2.63":3063064446011986.5,"2.64":3101150205032525.5,"2.65":3172235188997804.5,"2.66":3281013525072520.5,"2.67":3430891609928993.5,"2.68":3623810982501238.0,"2.69":3860142319510901.5,"2.7":4138657936755936.0,"2.71":4456585711490195.5,"2.72":4809742529685837.0,"2.73":5192740497829627.0,"2.74":5599254491220444.0,"2.75":6022335458614787.0,"2.7600000000000002":6454750501865059.0,"2.77":6889328337533261.0,"2.7800000000000002":7319287499960721.0,"2.79":7738524703860599.0,"2.8000000000000003":8141842164677748.0,"2.81":8525095389239914.0,"2.82":8885246901185685.0,"2.83":9220316348486934.0,"2.84":9529223279254148.0,"2.85":9811525231848940.0,"2.86":1.006706038e+16,"2.87":1.029551045e+16,"2.88":1.049770509e+16,"2.89":1.070900375e+16,"2.9":1.106421384e+16,"2.91":1.144667624e+16,"2.92":1.191334277e+16,"2.93":1.218876199e+16,"2.94":1.240016431e+16,"2.95":1.256155363e+16,"2.96":1.278379351e+16,"2.97":1.299307714e+16,"2.98":1.319369309e+16,"2.99":1.339891198e+16,"3.0":1.359479083e+16,"3.0100000000000002":1.376388384e+16,"3.02":1.390810395e+16,"3.0300000000000002":1.412059405e+16,"3.04":1.432606252e+16,"3.0500000000000003":1.465047229e+16,"3.06":1.496220053e+16,"3.0700000000000003":1.524652175e+16,"3.08":1.550694084e+16,"3.09":1.574585277e+16,"3.1":1.593032796e+16,"3.11":1.604300009e+16,"3.12":1.608359371e+16,"3.13":1.605726995e+16,"3.14":1.596818528e+16,"3.15":1.582045559e+16,"3.16":1.568785205e+16,"3.17":1.559011174e+16,"3.18":1.551141606e+16,"3.19":1.538324966e+16,"3.2":1.524531206e+16,"3.21":1.511907287e+16,"3.22":1.504405863e+16,"3.23":1.504606417e+16,"3.24":1.515048567e+16,"3.25":1.538181237e+16,"3.2600000000000002":1.576305238e+16,"3.27":1.631493685e+16,"3.2800000000000002":1.705523652e+16,"3.29":1.799808607e+16,"3.3000000000000003":1.915325393e+16,"3.31":2.052571417e+16,"3.3200000000000003":2.211408086e+16,"3.33":2.390786876e+16,"3.34":2.589483249e+16,"3.35":2.81163492e+16,"3.36":3.059032836e+16,"3.37":3.328547984e+16,"3.38":3.61201965e+16,"3.39":3.905318739e+16,"3.4":4.204541452e+16,"3.41":4.504852319e+16,"3.42":4.801800084e+16,"3.43":5.092013886e+16,"3.44":5.371255567e+16,"3.45":5.635244128e+16,"3.46":5.879336148e+16,"3.47":6.100446333e+16,"3.48":6.294522958e+16,"3.49":6.458287457e+16,"3.5":6.59102932e+16,"3.5100000000000002":6.689672246e+16,"3.52":6.757160356e+16,"3.5300000000000002":6.786376339e+16,"3.54":6.778445699e+16,"3.5500000000000003":6.723704725e+16,"3.56":6.623118304e+16,"3.5700000000000003":6.481874849e+16,"3.58":6.297182009e+16,"3.59":6.073687169e+16,"3.6":5.815058153e+16,"3.61":5.531727272e+16,"3.62":5.223413241e+16,"3.63":4.894369255e+16,"3.64":4.546609563e+16,"3.65":4.184619319e+16,"3.66":3.811491193e+16,"3.67":3.431432152e+16,"3.68":3.052444795e+16,"3.69":2.678145027e+16,"3.7":2.310558062e+16,"3.71":1.957245369e+16,"3.72":1.625187886e+16,"3.73":1.293833182e+16,"3.74":9996119242093060.0,"3.75":7375198479217766.0,"3.7600000000000002":5187812585269210.0,"3.77":3427793492291468.0,"3.7800000000000002":2129705413097622.0,"3.79":1369173774626641.75,"3.8000000000000003":893698017811601.875,"3.81":536846240600046.625,"3.8200000000000003":333499502623982.875,"3.83":238337067094230.90625,"3.84":217684666203555.375,"3.85":258951424859492.1875,"3.86":371740829754086.9375,"3.87":575504462214915.75,"3.88":888390043026798.375,"3.89":1275478252788368.0,"3.9":1776573290020053.5,"3.91":2575201629020467.5,"3.92":3567283116865409.5,"3.93":4695165072782213.0,"3.94":5909070863739742.0,"3.95":7181458493760610.0,"3.96":8453923536891256.0,"3.97":9712261632491430.0,"3.98":1.113591734e+16,"3.99":1.224912858e+16,"4.0":1.324296122e+16,"4.01":1.410498652e+16,"4.0200000000000005":1.482560295e+16,"4.03":1.549538552e+16,"4.04":1.607761519e+16,"4.05":1.650064497e+16,"4.0600000000000005":1.686863138e+16,"4.07":1.712917592e+16,"4.08":1.731512093e+16,"4.09":1.742328318e+16,"4.1":1.747449002e+16,"4.11":1.752050559e+16,"4.12":1.747000303e+16,"4.13":1.730689401e+16,"4.14":1.704943811e+16,"4.15":1.672818285e+16,"4.16":1.645513763e+16,"4.17":1.624368019e+16,"4.18":1.604149076e+16,"4.19":1.584612373e+16,"4.2":1.567572213e+16,"4.21":1.555089856e+16,"4.22":1.549025343e+16,"4.23":1.550995084e+16,"4.24":1.56233326e+16,"4.25":1.58405876e+16,"4.26":1.61684859e+16,"4.2700000000000005":1.661018486e+16,"4.28":1.716511381e+16,"4.29":1.782894292e+16,"4.3":1.859364045e+16,"4.3100000000000005":1.944762011e+16,"4.32":2.037597843e+16,"4.33":2.136081976e+16,"4.34":2.238166388e+16,"4.3500000000000005":2.341593263e+16,"4.36":2.445198105e+16,"4.37":2.546203799e+16,"4.38":2.644843159e+16,"4.39":2.738107109e+16,"4.4":2.831739404e+16,"4.41":2.917003174e+16,"4.42":2.988379046e+16,"4.43":3.046772409e+16,"4.44":3.092228722e+16,"4.45":3.118988195e+16,"4.46":3.126216611e+16,"4.47":3.117253458e+16,"4.48":3.093407082e+16,"4.49":3.049699676e+16,"4.5":2.984752713e+16,"4.51":2.899660095e+16,"4.5200000000000005":2.794929743e+16,"4.53":2.672143777e+16,"4.54":2.533444888e+16,"4.55":2.381323335e+16,"4.5600000000000005":2.218519146e+16,"4.57":2.046937782e+16,"4.58":1.869941598e+16,"4.59":1.689228759e+16,"4.6000000000000005":1.512006575e+16,"4.61":1.342343222e+16,"4.62":1.180689916e+16,"4.63":1.037768104e+16,"4.64":9058862045387498.0,"4.65":7911281078862731.0,"4.66":6921934935178701.0,"4.67":6071063314849630.0,"4.68":5335058771169108.0,"4.69":4682923393330032.0,"4.7":4205654961474363.5,"4.71":3858489797004723.5,"4.72":3596442737324184.5,"4.73":3498347084242668.0,"4.74":3444577083657588.5,"4.75":3424496668294923.5,"4.76":3413590312446497.5,"4.7700000000000005":3405230824799586.0,"4.78":3381027768190158.5,"4.79":3310559040458277.5,"4.8":3193978567450185.0,"4.8100000000000005":2903157654114821.0,"4.82":2491252068636591.0,"4.83":2256210237770094.5,"4.84":2012107821169957.75,"4.8500000000000005":1764645577416212.0,"4.86":1557431066147080.5,"4.87":1338972768905418.25,"4.88":1171658246347592.25,"4.89":950279357578021.5,"4.9":663498135541913.875,"4.91":456657278303301.75,"4.92":281117660018995.84375,"4.93":117769641064849.484375,"4.94":3835279832610.48828125,"4.95":6003392930883.4091796875,"4.96":5760203817727.021484375,"4.97":0.0,"4.98":0.0,"4.99":0.0,"5.0":0.0,"5.01":0.0,"5.0200000000000005":0.0,"5.03":0.0,"5.04":0.0,"5.05":0.0,"5.0600000000000005":0.0,"5.07":0.0,"5.08":0.0,"5.09":0.0,"5.1000000000000005":0.0,"5.11":0.0,"5.12":0.0,"5.13":0.0,"5.14":2484350381081.4116210938,"5.15":0.0,"5.16":0.0,"5.17":207617880221216.40625,"5.18":700961012922586.0,"5.19":1441139779665053.5,"5.2":2422550877599167.0,"5.21":3685251503457984.5,"5.22":5300073502529523.0,"5.23":7203987523005291.0,"5.24":9400669476592540.0,"5.25":1.187634494e+16,"5.26":1.434604011e+16,"5.2700000000000005":1.688061051e+16,"5.28":1.952972994e+16,"5.29":2.236400186e+16,"5.3":2.517667229e+16,"5.3100000000000005":2.78882158e+16,"5.32":3.046840254e+16,"5.33":3.288494101e+16,"5.34":3.510429727e+16,"5.3500000000000005":3.709223367e+16,"5.36":3.882437923e+16,"5.37":4.026856901e+16,"5.38":4.14012543e+16,"5.39":4.225504407e+16,"5.4":4.291481441e+16,"5.41":4.33771612e+16,"5.42":4.360283265e+16,"5.43":4.355929186e+16,"5.44":4.325141869e+16,"5.45":4.311417341e+16,"5.46":4.299496548e+16,"5.47":4.293736597e+16,"5.48":4.306977691e+16,"5.49":4.408511028e+16,"5.5":4.531919802e+16,"5.51":4.6397808e+16,"5.5200000000000005":4.739790388e+16,"5.53":4.831826798e+16,"5.54":4.910921766e+16,"5.55":4.973996419e+16,"5.5600000000000005":5.01912047e+16,"5.57":5.04499227e+16,"5.58":5.050506593e+16,"5.59":5.034763596e+16,"5.6000000000000005":4.996966565e+16,"5.61":4.938365394e+16,"5.62":4.869300294e+16,"5.63":4.775443873e+16,"5.64":4.657551852e+16,"5.65":4.51676483e+16,"5.66":4.354606982e+16,"5.67":4.172953825e+16,"5.68":3.973986921e+16,"5.69":3.760137584e+16,"5.7":3.534022032e+16,"5.71":3.298366596e+16,"5.72":3.055900708e+16,"5.73":2.809315048e+16,"5.74":2.56974272e+16,"5.75":2.333078812e+16,"5.76":2.10208736e+16,"5.7700000000000005":1.878021401e+16,"5.78":1.661176435e+16,"5.79":1.452837653e+16,"5.8":1.253142756e+16,"5.8100000000000005":1.059933311e+16,"5.82":8751304989724513.0,"5.83":6986692806736398.0,"5.84":5524324403579970.0,"5.8500000000000005":4352310785893668.0,"5.86":3373695587651589.5,"5.87":2510119000696546.0,"5.88":1806071598298808.75,"5.89":1322941357784899.25,"5.9":906524687326766.625,"5.91":559726492110793.1875,"5.92":268861768531819.90625,"5.93":61745661666291.546875,"5.94":1688118067174.6096191406,"5.95":0.0,"5.96":0.0,"5.97":0.0,"5.98":0.0,"5.99":0.0,"6.0":0.0,"6.01":0.0,"6.0200000000000005":6059331271327.587890625,"6.03":9665917830235.39453125,"6.04":6504786268986.349609375,"6.05":720366655834.3394775391,"6.0600000000000005":1277246025640.9616699219,"6.07":961491732522.7557373047,"6.08":1078156997069.453125,"6.09":3286271282126.8935546875,"6.1000000000000005":0.0,"6.11":0.0,"6.12":352542588158.0772705078,"6.13":444911452745786.3125,"6.140000000000001":1645541443719535.5,"6.15":2921389788533018.5,"6.16":4352121598450498.5,"6.17":5890510839652014.0,"6.18":7469749875743911.0,"6.19":9004470148557872.0,"6.2":1.047497491e+16,"6.21":1.186255868e+16,"6.22":1.314800042e+16,"6.23":1.431197758e+16,"6.24":1.533529952e+16,"6.25":1.619893397e+16,"6.26":1.688499664e+16,"6.2700000000000005":1.737722226e+16,"6.28":1.766148855e+16,"6.29":1.772636477e+16,"6.3":1.756365013e+16,"6.3100000000000005":1.716888029e+16,"6.32":1.654180347e+16,"6.33":1.568663764e+16,"6.34":1.465095311e+16,"6.3500000000000005":1.377728722e+16,"6.36":1.283530022e+16,"6.37":1.174480318e+16,"6.38":1.079113089e+16,"6.390000000000001":9967213117007672.0,"6.4":9264842102941044.0,"6.41":8686981048916676.0,"6.42":8121238988251383.0,"6.43":7542286243185477.0,"6.44":7048813164046973.0,"6.45":6675717339446297.0,"6.46":6321094675488257.0,"6.47":6015072709427305.0,"6.48":5769632697119030.0,"6.49":5615706245385408.0,"6.5":5487558433934120.0,"6.51":5389353700914851.0,"6.5200000000000005":5334895723482232.0,"6.53":5321895977628516.0,"6.54":5351740467004523.0,"6.55":5424673905030706.0,"6.5600000000000005":5539333963540139.0,"6.57":5693000759897519.0,"6.58":5881368702646805.0,"6.59":6104376725879491.0,"6.6000000000000005":6355127607634054.0,"6.61":6624220921309904.0,"6.62":6903653208029431.0,"6.63":7184471919433512.0,"6.640000000000001":7457529440428545.0,"6.65":7713519831276854.0,"6.66":7950782355702312.0,"6.67":8156436758377286.0,"6.68":8320825062506088.0,"6.69":8439699261084016.0,"6.7":8511105130727421.0,"6.71":8536328094672724.0,"6.72":8517937211934550.0,"6.73":8461602054323648.0,"6.74":8389500390645179.0,"6.75":8316232482632823.0,"6.76":8231302696084598.0,"6.7700000000000005":8147351498767110.0,"6.78":8078148196831641.0,"6.79":8039027052191497.0,"6.8":8050857775810075.0,"6.8100000000000005":8117400852316619.0,"6.82":8251273626894841.0,"6.83":8463413859349656.0,"6.84":8762335150794508.0,"6.8500000000000005":9154393589883034.0,"6.86":9644853349325246.0,"6.87":1.024295847e+16,"6.88":1.093832006e+16,"6.890000000000001":1.187413541e+16,"6.9":1.278046219e+16,"6.91":1.376793363e+16,"6.92":1.479641789e+16,"6.93":1.606723004e+16,"6.94":1.741673983e+16,"6.95":1.893872294e+16,"6.96":2.064782483e+16,"6.97":2.248843793e+16,"6.98":2.448781253e+16,"6.99":2.663706051e+16,"7.0":2.889312526e+16,"7.01":3.12964106e+16,"7.0200000000000005":3.364606754e+16,"7.03":3.580933132e+16,"7.04":3.775856269e+16,"7.05":3.948030176e+16,"7.0600000000000005":4.096359587e+16,"7.07":4.21961736e+16,"7.08":4.316769845e+16,"7.09":4.387272457e+16,"7.1000000000000005":4.430589885e+16,"7.11":4.446277295e+16,"7.12":4.434720071e+16,"7.13":4.397030225e+16,"7.140000000000001":4.335746608e+16,"7.15":4.26887864e+16,"7.16":4.208406198e+16,"7.17":4.148849228e+16,"7.18":4.093193326e+16,"7.19":4.045017943e+16,"7.2":3.997313988e+16,"7.21":3.960927264e+16,"7.22":3.913681935e+16,"7.23":3.885934918e+16,"7.24":3.856009059e+16,"7.25":3.830979922e+16,"7.26":3.829603119e+16,"7.2700000000000005":3.801449611e+16,"7.28":3.753759874e+16,"7.29":3.686969459e+16,"7.3":3.597825433e+16,"7.3100000000000005":3.488856462e+16,"7.32":3.357450685e+16,"7.33":3.205782117e+16,"7.34":3.034763809e+16,"7.3500000000000005":2.846778295e+16,"7.36":2.644832183e+16,"7.37":2.43229393e+16,"7.38":2.212546866e+16,"7.390000000000001":1.990345427e+16,"7.4":1.769987172e+16,"7.41":1.557225856e+16,"7.42":1.355545921e+16,"7.43":1.171105918e+16,"7.44":9930237170092082.0,"7.45":8530058122491249.0,"7.46":7293718699539857.0,"7.47":6450624902020450.0,"7.48":5882730203968768.0,"7.49":5523269313509978.0,"7.5":5546142051025103.0,"7.51":5791969736953955.0,"7.5200000000000005":6195591555992532.0,"7.53":6773233508211001.0,"7.54":7585874183756298.0,"7.55":8571670992617491.0,"7.5600000000000005":9751742553200212.0,"7.57":1.105808326e+16,"7.58":1.247648672e+16,"7.59":1.399282425e+16,"7.6000000000000005":1.559623836e+16,"7.61":1.717606648e+16,"7.62":1.869920955e+16,"7.63":2.014027874e+16,"7.640000000000001":2.146722112e+16,"7.65":2.275552256e+16,"7.66":2.403323966e+16,"7.67":2.521209041e+16,"7.68":2.622240492e+16,"7.69":2.706174274e+16,"7.7":2.771276038e+16,"7.71":2.817094529e+16,"7.72":2.843457499e+16,"7.73":2.850461362e+16,"7.74":2.838454547e+16,"7.75":2.808015551e+16,"7.76":2.759926819e+16,"7.7700000000000005":2.695145523e+16,"7.78":2.589455977e+16,"7.79":2.487926383e+16,"7.8":2.411684281e+16,"7.8100000000000005":2.292612641e+16,"7.82":2.162675458e+16,"7.83":2.023749488e+16,"7.84":1.877193912e+16,"7.8500000000000005":1.724336747e+16,"7.86":1.566465166e+16,"7.87":1.404823765e+16,"7.88":1.240596216e+16,"7.890000000000001":1.074845412e+16,"7.9":9086128733514174.0,"7.91":7428882684348613.0,"7.92":5845912555049296.0,"7.930000000000001":4434736551134146.5,"7.94":3135994519981595.0,"7.95":1924407090503516.75,"7.96":763490855780439.75,"7.97":126736722142649.453125,"7.98":89875862189865.6875,"7.99":3932299573633.265625,"8.0":524323597267.2093505859,"8.01":324282855405.899230957,"8.02":30521811189.5590667725,"8.03":0.0,"8.040000000000001":0.0,"8.05":0.0,"8.06":0.0,"8.07":0.0,"8.08":0.0,"8.09":0.0,"8.1":0.0,"8.11":0.0,"8.120000000000001":390399057955.4443359375,"8.13":6878688903439.794921875,"8.14":4504234291766.8662109375,"8.15":93932040519.5998840332,"8.16":1041638661478.7528076172,"8.17":97625593907914.5,"8.18":560847464174929.0625,"8.19":1072105081747067.75,"8.2":2127930900662777.25,"8.21":3566595766999551.0,"8.22":5264510854739694.0,"8.23":7256138945387511.0,"8.24":9376601742742102.0,"8.25":1.160440185e+16,"8.26":1.388608124e+16,"8.27":1.620886492e+16,"8.28":1.855080698e+16,"8.290000000000001":2.088348775e+16,"8.3":2.318132491e+16,"8.31":2.544578561e+16,"8.32":2.763725995e+16,"8.33":2.970457881e+16,"8.34":3.161619017e+16,"8.35":3.334115368e+16,"8.36":3.484950124e+16,"8.370000000000001":3.611282598e+16,"8.38":3.710723576e+16,"8.39":3.781090275e+16,"8.4":3.82456073e+16,"8.41":3.841593517e+16,"8.42":3.836393069e+16,"8.43":3.829087416e+16,"8.44":3.803596213e+16,"8.45":3.75881234e+16,"8.46":3.690788915e+16,"8.47":3.599091991e+16,"8.48":3.487307403e+16,"8.49":3.360560479e+16,"8.5":3.219105939e+16,"8.51":3.066098416e+16,"8.52":2.903766074e+16,"8.53":2.732870623e+16,"8.540000000000001":2.556728444e+16,"8.55":2.377247979e+16,"8.56":2.196803953e+16,"8.57":2.017959251e+16,"8.58":1.843436908e+16,"8.59":1.675965053e+16,"8.6":1.51744035e+16,"8.61":1.36988197e+16,"8.620000000000001":1.234184836e+16,"8.63":1.111301327e+16,"8.64":1.003184713e+16,"8.65":9096575458667392.0,"8.66":8385349766567450.0,"8.67":7857660972172876.0,"8.68":7424729906334446.0,"8.69":7177096157975934.0,"8.700000000000001":7089342619060769.0,"8.71":7146793903289234.0,"8.72":7407531909086299.0,"8.73":7773019158737993.0,"8.74":8249150526411402.0,"8.75":8825737111631086.0,"8.76":9476102203783448.0,"8.77":1.019830042e+16,"8.78":1.097201423e+16,"8.790000000000001":1.177285664e+16,"8.8":1.257260612e+16,"8.81":1.33528591e+16,"8.82":1.410435873e+16,"8.83":1.481347493e+16,"8.84":1.548544387e+16,"8.85":1.622409564e+16,"8.86":1.682529176e+16,"8.870000000000001":1.737159997e+16,"8.88":1.781939241e+16,"8.89":1.822107779e+16,"8.9":1.853322644e+16,"8.91":1.893157092e+16,"8.92":1.920318103e+16,"8.93":1.946188771e+16,"8.94":1.974572729e+16,"8.950000000000001":1.988461306e+16,"8.96":2.006292047e+16,"8.97":2.020054582e+16,"8.98":2.033450087e+16,"8.99":2.046594084e+16,"9.0":2.065416541e+16,"9.01":2.082717357e+16,"9.02":2.08448746e+16,"9.03":2.069290821e+16,"9.040000000000001":2.049209548e+16,"9.05":2.044304833e+16,"9.06":2.029027405e+16,"9.07":1.998351347e+16,"9.08":1.953576917e+16,"9.09":1.896222423e+16,"9.1":1.828021211e+16,"9.11":1.750906313e+16,"9.120000000000001":1.666971502e+16,"9.13":1.578425134e+16,"9.14":1.487538647e+16,"9.15":1.396591596e+16,"9.16":1.307815579e+16,"9.17":1.223339509e+16,"9.18":1.145138727e+16,"9.19":1.074989952e+16,"9.200000000000001":1.014433797e+16,"9.21":9647449619568238.0,"9.22":9269111705176722.0,"9.23":9016333718828664.0,"9.24":8893273437400144.0,"9.25":8901337619957805.0,"9.26":9039383191788166.0,"9.27":9303983968025030.0,"9.28":9689743536295308.0,"9.290000000000001":1.018963303e+16,"9.3":1.079533186e+16,"9.31":1.149755024e+16,"9.32":1.228631405e+16,"9.33":1.315119589e+16,"9.34":1.408147996e+16,"9.35":1.506625335e+16,"9.36":1.609442147e+16,"9.370000000000001":1.715465076e+16,"9.38":1.823524727e+16,"9.39":1.932398428e+16,"9.4":2.040790309e+16,"9.41":2.147308892e+16,"9.42":2.250445446e+16,"9.43":2.348557e+16,"9.44":2.439854593e+16,"9.450000000000001":2.522399262e+16,"9.46":2.594107549e+16,"9.47":2.652767902e+16,"9.48":2.69606885e+16,"9.49":2.721641925e+16,"9.5":2.728043496e+16,"9.51":2.712420325e+16,"9.52":2.671377031e+16,"9.53":2.608752464e+16,"9.540000000000001":2.524391223e+16,"9.55":2.426353999e+16,"9.56":2.303323069e+16,"9.57":2.153323282e+16,"9.58":1.9790262e+16,"9.59":1.781688499e+16,"9.6":1.579101574e+16,"9.61":1.37403236e+16,"9.620000000000001":1.168657119e+16,"9.63":9644829738047938.0,"9.64":7704445718935096.0,"9.65":5900083263230651.0,"9.66":4204396793173086.0,"9.67":2727876173995796.0,"9.68":1638142584505578.75,"9.69":904699044027639.0,"9.700000000000001":372048788870484.5,"9.71":33166497089772.0234375,"9.72":0.0,"9.73":0.0,"9.74":7917935869030.30859375,"9.75":8462507636759.908203125,"9.76":7878901856901.689453125,"9.77":298866333816.5480957031,"9.78":0.0,"9.790000000000001":2753229146257.8217773438,"9.8":9913395488990.142578125,"9.81":12937310965657.232421875,"9.82":58786198360619.1796875,"9.83":399613445832303.75,"9.84":894770552920423.75,"9.85":1437241502383774.25,"9.86":2423137524236978.0,"9.870000000000001":3719862198176634.5,"9.88":5223894982112543.0,"9.89":6879940689729078.0,"9.9":8640753174656540.0,"9.91":1.044320088e+16,"9.92":1.220668959e+16,"9.93":1.40570664e+16,"9.94":1.563364293e+16,"9.950000000000001":1.708171347e+16,"9.96":1.83812337e+16,"9.97":1.956760708e+16,"9.98":2.066701084e+16,"9.99":2.15938929e+16,"10.0":2.234696467e+16,"10.01":2.300162122e+16,"10.02":2.352712126e+16,"10.03":2.385327698e+16,"10.040000000000001":2.400752411e+16,"10.05":2.404163338e+16,"10.06":2.38752835e+16,"10.07":2.355144856e+16,"10.08":2.308153173e+16,"10.09":2.245270946e+16,"10.1":2.168326558e+16,"10.11":2.0795597e+16,"10.120000000000001":1.981092658e+16,"10.13":1.875082202e+16,"10.14":1.763852096e+16,"10.15":1.651318289e+16,"10.16":1.541926182e+16,"10.17":1.434682715e+16,"10.18":1.338173976e+16,"10.19":1.251094483e+16,"10.200000000000001":1.172513013e+16,"10.21":1.10384658e+16,"10.22":1.054227543e+16,"10.23":1.00331976e+16,"10.24":9868795832506946.0,"10.25":9850660824669282.0,"10.26":9983999522105316.0,"10.27":1.027224251e+16,"10.28":1.071658872e+16,"10.290000000000001":1.135451957e+16,"10.3":1.237879562e+16,"10.31":1.334306477e+16,"10.32":1.443895008e+16,"10.33":1.565807394e+16,"10.34":1.699124621e+16,"10.35":1.842632519e+16,"10.36":1.99495514e+16,"10.370000000000001":2.154484388e+16,"10.38":2.319159269e+16,"10.39":2.489472184e+16,"10.4":2.660693251e+16,"10.41":2.830617565e+16,"10.42":2.997312032e+16,"10.43":3.159656204e+16,"10.44":3.314467979e+16,"10.450000000000001":3.461302456e+16,"10.46":3.595222604e+16,"10.47":3.718463862e+16,"10.48":3.824842586e+16,"10.49":3.92214487e+16,"10.5":4.000578346e+16,"10.51":4.056385023e+16,"10.52":4.087759664e+16,"10.53":4.094388038e+16,"10.540000000000001":4.080618339e+16,"10.55":4.043431218e+16,"10.56":3.981161695e+16,"10.57":3.894449887e+16,"10.58":3.784621015e+16,"10.59":3.653467986e+16,"10.6":3.503210496e+16,"10.61":3.336184867e+16,"10.620000000000001":3.155490748e+16,"10.63":2.964179446e+16,"10.64":2.765501264e+16,"10.65":2.562841916e+16,"10.66":2.359612073e+16,"10.67":2.158908102e+16,"10.68":1.96524844e+16,"10.69":1.784973658e+16,"10.700000000000001":1.61598244e+16,"10.71":1.460460355e+16,"10.72":1.320001114e+16,"10.73":1.195823923e+16,"10.74":1.088650448e+16,"10.75":9990036376106918.0,"10.76":9266808674391818.0,"10.77":8707594935249435.0,"10.78":8311568724639273.0,"10.790000000000001":8103136421017696.0,"10.8":8041265719317174.0,"10.81":8089260977031354.0,"10.82":8226824045526083.0,"10.83":8432247604235360.0,"10.84":8683802140822561.0,"10.85":8959663809961099.0,"10.86":9238769541745072.0,"10.870000000000001":9553509683225420.0,"10.88":9857159017376970.0,"10.89":1.011625708e+16,"10.9":1.031973612e+16,"10.91":1.046286528e+16,"10.92":1.05333194e+16,"10.93":1.05271021e+16,"10.94":1.044402436e+16,"10.950000000000001":1.031995814e+16,"10.96":1.018172771e+16,"10.97":1.000133119e+16,"10.98":9813108423867958.0,"10.99":9636987761290080.0,"11.0":9482155174225730.0,"11.01":9320312369190366.0,"11.02":9238298550923610.0,"11.03":9185928881485154.0,"11.040000000000001":9135163870852674.0,"11.05":9076180646179852.0,"11.06":9038865808462972.0,"11.07":8972489904838090.0,"11.08":8940952776920423.0,"11.09":8991457853805811.0,"11.1":9085247824869348.0,"11.11":9238537778200738.0,"11.120000000000001":9419306425996178.0,"11.13":9621194584568648.0,"11.14":9872334341509828.0,"11.15":1.016101043e+16,"11.16":1.049342947e+16,"11.17":1.095426103e+16,"11.18":1.15050555e+16,"11.19":1.21285673e+16,"11.200000000000001":1.281859321e+16,"11.21":1.355716565e+16,"11.22":1.435756448e+16,"11.23":1.515994536e+16,"11.24":1.599762186e+16,"11.25":1.683880006e+16,"11.26":1.76339582e+16,"11.27":1.837274631e+16,"11.28":1.90485511e+16,"11.290000000000001":1.969584439e+16,"11.3":2.033454465e+16,"11.31":2.089356921e+16,"11.32":2.137291549e+16,"11.33":2.177354395e+16,"11.34":2.209779232e+16,"11.35":2.234918921e+16,"11.36":2.253159255e+16,"11.370000000000001":2.264920202e+16,"11.38":2.270619964e+16,"11.39":2.270640956e+16,"11.4":2.265296829e+16,"11.41":2.254813117e+16,"11.42":2.239311066e+16,"11.43":2.218798656e+16,"11.44":2.193169519e+16,"11.450000000000001":2.162204568e+16,"11.46":2.125600534e+16,"11.47":2.082977217e+16,"11.48":2.033917771e+16,"11.49":1.977950497e+16,"11.5":1.914645155e+16,"11.51":1.843699703e+16,"11.52":1.764874837e+16,"11.53":1.678081621e+16,"11.540000000000001":1.583358592e+16,"11.55":1.480924636e+16,"11.56":1.37379361e+16,"11.57":1.255987778e+16,"11.58":1.151375349e+16,"11.59":1.04136911e+16,"11.6":9289617584012994.0,"11.61":8168772402505429.0,"11.620000000000001":7150819893605250.0,"11.63":6163307875595584.0,"11.64":5237274117977271.0,"11.65":4395743295322841.0,"11.66":3601587013751920.5,"11.67":2900433695941839.5,"11.68":2327378695107299.5,"11.69":1788561221512484.5,"11.700000000000001":1367786556664966.0,"11.71":1054422166962628.5,"11.72":775416060028006.625,"11.73":599629373562274.5,"11.74":541766441667830.5625,"11.75":450078520472720.625,"11.76":385536215734694.125,"11.77":350782090399914.875,"11.78":325095407425377.0625,"11.790000000000001":310439364268751.5625,"11.8":305452013592584.4375,"11.81":297800597624653.0625,"11.82":294844969842608.125,"11.83":285971472597385.4375,"11.84":270510341527181.625,"11.85":244252667008713.84375,"11.86":200913532260058.53125,"11.870000000000001":149806120511875.59375,"11.88":113784184700426.28125,"11.89":97445494667651.765625,"11.9":84190002608192.890625,"11.91":77399155147681.90625,"11.92":79970364463591.359375,"11.93":6642098872742.9658203125,"11.94":0.0,"11.950000000000001":0.0,"11.96":0.0,"11.97":0.0,"11.98":177337056376984.59375,"11.99":393183489975018.5625,"12.0":643589357556776.5,"12.01":825347636817231.25,"12.02":1452754003102836.5,"12.030000000000001":2581753265218679.5,"12.040000000000001":4283752736009304.5,"12.05":5815544211639181.0,"12.06":7539709420706379.0,"12.07":9599431682828704.0,"12.08":1.166628084e+16,"12.09":1.366234012e+16,"12.1":1.55835301e+16,"12.11":1.742570709e+16,"12.120000000000001":1.918463676e+16,"12.13":2.085589891e+16,"12.14":2.243584233e+16,"12.15":2.392170704e+16,"12.16":2.531175525e+16,"12.17":2.660534705e+16,"12.18":2.780293623e+16,"12.19":2.890598002e+16,"12.200000000000001":2.991676352e+16,"12.21":3.083814672e+16,"12.22":3.167324815e+16,"12.23":3.242508318e+16,"12.24":3.309617863e+16,"12.25":3.368818743e+16,"12.26":3.42015281e+16,"12.27":3.463507293e+16,"12.280000000000001":3.498590784e+16,"12.290000000000001":3.52492114e+16,"12.3":3.543366736e+16,"12.31":3.551287436e+16,"12.32":3.54988141e+16,"12.33":3.537676589e+16,"12.34":3.515214999e+16,"12.35":3.48398188e+16,"12.36":3.442796854e+16,"12.370000000000001":3.385877573e+16,"12.38":3.315224989e+16,"12.39":3.229181064e+16,"12.4":3.123631033e+16,"12.41":2.998306213e+16,"12.42":2.856860234e+16,"12.43":2.711682385e+16,"12.44":2.561013279e+16,"12.450000000000001":2.4049001e+16,"12.46":2.246898515e+16,"12.47":2.09121889e+16,"12.48":1.935785891e+16,"12.49":1.784636652e+16,"12.5":1.630051439e+16,"12.51":1.486947596e+16,"12.52":1.353475934e+16,"12.530000000000001":1.221954351e+16,"12.540000000000001":1.072962489e+16,"12.55":9481629231847574.0,"12.56":8334555291443585.0,"12.57":7375383876160381.0,"12.58":6460485726197864.0,"12.59":5635748033315948.0,"12.6":4895771265361607.0,"12.61":4239345584603865.0,"12.620000000000001":3672468201784325.0,"12.63":3192451965877800.0,"12.64":2795806688672772.5,"12.65":2483312755024323.0,"12.66":2246399957284921.0,"12.67":2076744156030235.25,"12.68":1973547891755945.75,"12.69":1932475768685735.0,"12.700000000000001":2002198856647098.0,"12.71":2130641831479338.25,"12.72":2329772790278871.5,"12.73":2610615585163852.5,"12.74":2981683807528047.5,"12.75":3575451252244159.5,"12.76":4374287494154983.0,"12.77":5228241831984875.0,"12.780000000000001":6173025926246752.0,"12.790000000000001":7261176381733666.0,"12.8":8506601851007417.0,"12.81":9904448692045486.0,"12.82":1.138602888e+16,"12.83":1.29282102e+16,"12.84":1.451828853e+16,"12.85":1.612775348e+16,"12.86":1.764233907e+16,"12.870000000000001":1.903958404e+16,"12.88":2.031790536e+16,"12.89":2.14575099e+16,"12.9":2.246854117e+16,"12.91":2.333697709e+16,"12.92":2.405945914e+16,"12.93":2.463636077e+16,"12.94":2.506996682e+16,"12.950000000000001":2.536459024e+16,"12.96":2.55266173e+16,"12.97":2.556356715e+16,"12.98":2.548553111e+16,"12.99":2.532981423e+16,"13.0":2.515522189e+16,"13.01":2.496922072e+16,"13.02":2.476361864e+16,"13.030000000000001":2.45500875e+16,"13.040000000000001":2.433218636e+16,"13.05":2.40921322e+16,"13.06":2.388686103e+16,"13.07":2.365507651e+16,"13.08":2.340040958e+16,"13.09":2.318349946e+16,"13.1":2.29306878e+16,"13.11":2.263974621e+16,"13.120000000000001":2.230749602e+16,"13.13":2.193014832e+16,"13.14":2.150366605e+16,"13.15":2.108474524e+16,"13.16":2.061922469e+16,"13.17":2.008906064e+16,"13.18":1.949152832e+16,"13.19":1.882608771e+16,"13.200000000000001":1.809313608e+16,"13.21":1.729418682e+16,"13.22":1.643215981e+16,"13.23":1.551135261e+16,"13.24":1.453721613e+16,"13.25":1.35164821e+16,"13.26":1.245787394e+16,"13.27":1.116712912e+16,"13.280000000000001":1.005071394e+16,"13.290000000000001":8924869704218566.0,"13.3":7843401110487677.0,"13.31":6844340961694505.0,"13.32":5897347684298774.0,"13.33":5013186104184059.0,"13.34":4197212732394528.5,"13.35":3459252740654567.0,"13.36":2806924120305991.5,"13.370000000000001":2256400494273330.5,"13.38":1803349958827988.5,"13.39":1449468248040323.75,"13.4":1208600388729550.0,"13.41":1065781122484903.5,"13.42":941271996506007.0,"13.43":862916057230664.875,"13.44":828615327572812.375,"13.450000000000001":829029342399139.125,"13.46":864116233746669.875,"13.47":942360764500257.125,"13.48":1061010198227104.75,"13.49":1212029915558229.75,"13.5":1414210586480933.75,"13.51":1745170248228195.75,"13.52":2163078667236245.0,"13.530000000000001":2691220995991309.5,"13.540000000000001":3359613770507302.0,"13.55":4145226026370580.0,"13.56":5055609156838747.0,"13.57":6092270120000855.0,"13.58":7233698785126307.0,"13.59":8438888054137053.0,"13.6":9825818505944692.0,"13.61":1.12997698e+16,"13.620000000000001":1.279589885e+16,"13.63":1.430589979e+16,"13.64":1.582634939e+16,"13.65":1.735040388e+16,"13.66":1.887140254e+16,"13.67":2.040529764e+16,"13.68":2.194565284e+16,"13.69":2.344901864e+16,"13.700000000000001":2.491029403e+16,"13.71":2.632235921e+16,"13.72":2.767829853e+16,"13.73":2.897143967e+16,"13.74":3.019544253e+16,"13.75":3.134333996e+16,"13.76":3.240710074e+16,"13.77":3.338397908e+16,"13.780000000000001":3.426774702e+16,"13.790000000000001":3.505290266e+16,"13.8":3.573432837e+16,"13.81":3.630709761e+16,"13.82":3.676648937e+16,"13.83":3.710815897e+16,"13.84":3.732823299e+16,"13.85":3.742339974e+16,"13.86":3.739103898e+16,"13.870000000000001":3.722930409e+16,"13.88":3.693726284e+16,"13.89":3.65149886e+16,"13.9":3.596357712e+16,"13.91":3.528523674e+16,"13.92":3.44834634e+16,"13.93":3.356303722e+16,"13.94":3.25299652e+16,"13.950000000000001":3.139024039e+16,"13.96":3.015335829e+16,"13.97":2.882873151e+16,"13.98":2.742429992e+16,"13.99":2.595218923e+16,"14.0":2.446430631e+16,"14.01":2.297949859e+16,"14.02":2.147601835e+16,"14.030000000000001":1.996382531e+16,"14.040000000000001":1.84498298e+16,"14.05":1.712184794e+16,"14.06":1.583983928e+16,"14.07":1.460308415e+16,"14.08":1.341748922e+16,"14.09":1.209213152e+16,"14.1":1.119872483e+16,"14.11":1.034998914e+16,"14.120000000000001":9552141069103310.0,"14.13":8812181193292160.0,"14.14":8153280428454296.0,"14.15":7556764325606666.0,"14.16":7018134451442047.0,"14.17":6571165180690018.0,"14.18":6184631156173908.0,"14.19":5845859238429116.0,"14.200000000000001":5549303522310976.0,"14.21":5292557172041268.0,"14.22":5076206470614471.0,"14.23":4903491699241515.0,"14.24":4768673932305523.0,"14.25":4672179213090813.0,"14.26":4614647031355680.0,"14.27":4597675361272094.0,"14.280000000000001":4657317772843543.0,"14.290000000000001":4767385955599713.0,"14.3":4922130721410051.0,"14.31":5120834020798596.0,"14.32":5363296443539468.0,"14.33":5648168489184303.0,"14.34":5966455982985830.0,"14.35":6292185561847331.0,"14.36":6745891623957849.0,"14.370000000000001":7305452881944495.0,"14.38":7877399370021945.0,"14.39":8467360265708690.0,"14.4":9070648137269126.0,"14.41":9832559008667744.0,"14.42":1.055255756e+16,"14.43":1.122791492e+16,"14.44":1.184899152e+16,"14.450000000000001":1.241030776e+16,"14.46":1.290662032e+16,"14.47":1.338183414e+16,"14.48":1.379938396e+16,"14.49":1.4136082e+16,"14.5":1.43913764e+16,"14.51":1.459730229e+16,"14.52":1.472846866e+16,"14.530000000000001":1.478603144e+16,"14.540000000000001":1.477594697e+16,"14.55":1.472078773e+16,"14.56":1.461186605e+16,"14.57":1.445561297e+16,"14.58":1.426009509e+16,"14.59":1.404588438e+16,"14.6":1.380530906e+16,"14.61":1.354688329e+16,"14.620000000000001":1.329240527e+16,"14.63":1.301738537e+16,"14.64":1.275235092e+16,"14.65":1.248716878e+16,"14.66":1.221121084e+16,"14.67":1.19439948e+16,"14.68":1.167360592e+16,"14.69":1.140308968e+16,"14.700000000000001":1.110104348e+16,"14.71":1.076483837e+16,"14.72":1.043516971e+16,"14.73":1.008734957e+16,"14.74":9715540772837882.0,"14.75":9334695850843312.0,"14.76":8952531547357910.0,"14.77":8558546005870633.0,"14.780000000000001":8176444332452533.0,"14.790000000000001":7802367027152867.0,"14.8":7451471640414721.0,"14.81":7118020755981429.0,"14.82":6839650436601662.0,"14.83":6533004171014400.0,"14.84":6187372331024230.0,"14.85":5834575129242249.0,"14.86":5431888313029689.0,"14.870000000000001":5133160807397505.0,"14.88":4881132963194721.0,"14.89":4628336469066405.0,"14.9":4373680944743322.5,"14.91":4112658315099092.0,"14.92":3865971920678109.5,"14.93":3623413257903378.5,"14.94":3398910992572591.5,"14.950000000000001":3192778600825268.0,"14.96":3010701571968313.5,"14.97":2873115993725477.5,"14.98":2751821819280307.0,"14.99":2655258295404041.0,"15.0":2587397534291666.5,"15.01":2568741393218289.0,"15.02":2588107111085830.0,"15.030000000000001":2646394386630149.5,"15.040000000000001":2749362294357061.5,"15.05":2892766109737880.0,"15.06":3079858964343024.0,"15.07":3308536308637263.5,"15.08":3579596566451227.5,"15.09":3884379950200541.5,"15.1":4226437919296972.0,"15.11":4589379160024582.0,"15.120000000000001":4979870123194771.0,"15.13":5383891812705064.0,"15.14":5782510181233608.0,"15.15":6228788098494675.0,"15.16":6680695748887509.0,"15.17":7079227717731472.0,"15.18":7445815860655449.0,"15.19":7762947568676100.0,"15.200000000000001":8036016733353615.0,"15.21":8265990913194829.0,"15.22":8461676725393709.0,"15.23":8616670910539006.0,"15.24":8734810223294515.0,"15.25":8820784740432209.0,"15.26":8879953885980551.0,"15.27":8918132695031653.0,"15.280000000000001":8941369446642288.0,"15.290000000000001":8955709391731160.0,"15.3":8966962308640495.0,"15.31":8980495095258282.0,"15.32":9001019660041701.0,"15.33":9032563789400744.0,"15.34":9078295866441260.0,"15.35":9140516600301906.0,"15.36":9220669406391462.0,"15.370000000000001":9319392315073324.0,"15.38":9436605269704894.0,"15.39":9571625910783468.0,"15.4":9723304942218474.0,"15.41":9890172665598984.0,"15.42":1.007058745e+16,"15.43":1.026286158e+16,"15.44":1.046538925e+16,"15.450000000000001":1.067686463e+16,"15.46":1.090360045e+16,"15.47":1.114728835e+16,"15.48":1.140070696e+16,"15.49":1.186588222e+16,"15.5":1.213555958e+16,"15.51":1.241453453e+16,"15.52":1.270310159e+16,"15.530000000000001":1.300168589e+16,"15.540000000000001":1.331036945e+16,"15.55":1.362950138e+16,"15.56":1.395936839e+16,"15.57":1.430007871e+16,"15.58":1.465141567e+16,"15.59":1.501304012e+16,"15.6":1.538434114e+16,"15.610000000000001":1.576457049e+16,"15.620000000000001":1.615261769e+16,"15.63":1.654763504e+16,"15.64":1.694821902e+16,"15.65":1.735312104e+16,"15.66":1.776105363e+16,"15.67":1.823110372e+16,"15.68":1.874115655e+16,"15.69":1.9256271e+16,"15.700000000000001":1.977357281e+16,"15.71":2.029169362e+16,"15.72":2.081917795e+16,"15.73":2.142808233e+16,"15.74":2.202999948e+16,"15.75":2.267745131e+16,"15.76":2.333899363e+16,"15.77":2.403831876e+16,"15.780000000000001":2.47456193e+16,"15.790000000000001":2.545604455e+16,"15.8":2.616530265e+16,"15.81":2.690000733e+16,"15.82":2.759512271e+16,"15.83":2.822650917e+16,"15.84":2.87775183e+16,"15.85":2.92418717e+16,"15.860000000000001":2.961478012e+16,"15.870000000000001":2.989344762e+16,"15.88":3.007602786e+16,"15.89":3.016100538e+16,"15.9":3.014726026e+16,"15.91":3.003411314e+16,"15.92":2.982136377e+16,"15.93":2.950931745e+16,"15.94":2.909878399e+16,"15.950000000000001":2.859202451e+16,"15.96":2.799236857e+16,"15.97":2.730353037e+16,"15.98":2.653464213e+16,"15.99":2.569715086e+16,"16.0":2.481387354e+16,"16.01":2.391623033e+16,"16.02":2.298315564e+16,"16.03":2.202601956e+16,"16.04":2.105175673e+16,"16.05":2.006365679e+16,"16.06":1.90742673e+16,"16.07":1.810718538e+16,"16.080000000000002":1.714906047e+16,"16.09":1.621252711e+16,"16.1":1.533811283e+16,"16.11":1.446275829e+16,"16.12":1.358860443e+16,"16.13":1.275486898e+16,"16.14":1.206421001e+16,"16.15":1.118759252e+16,"16.16":1.05350119e+16,"16.17":9908242855331048.0,"16.18":9310524541589146.0,"16.19":8745071316117887.0,"16.2":8368451250550905.0,"16.21":8024501380119467.0,"16.22":7700276718710596.0,"16.23":7411224036892310.0,"16.240000000000002":7163563279012179.0,"16.25":6961532927857583.0,"16.26":6808541907711775.0,"16.27":6707451679745837.0,"16.28":6661288426037218.0,"16.29":6673272720095693.0,"16.3":6745616866759775.0,"16.31":6879928465464470.0,"16.32":7076521164869284.0,"16.330000000000002":7334864973888722.0,"16.34":7652774027316932.0,"16.35":8027298268407128.0,"16.36":8454428374278997.0,"16.37":8938896405717506.0,"16.38":9470447830001948.0,"16.39":1.003123172e+16,"16.4":1.060926851e+16,"16.41":1.119052945e+16,"16.42":1.177317168e+16,"16.43":1.266744601e+16,"16.44":1.334150501e+16,"16.45":1.398215527e+16,"16.46":1.457823622e+16,"16.47":1.511818527e+16,"16.48":1.559274751e+16,"16.490000000000002":1.601603525e+16,"16.5":1.644580267e+16,"16.51":1.677577356e+16,"16.52":1.700367206e+16,"16.53":1.712884042e+16,"16.54":1.715266677e+16,"16.55":1.707826925e+16,"16.56":1.691038584e+16,"16.57":1.665533584e+16,"16.580000000000002":1.632070562e+16,"16.59":1.591509701e+16,"16.6":1.544747206e+16,"16.61":1.492766455e+16,"16.62":1.436583681e+16,"16.63":1.377188213e+16,"16.64":1.315539337e+16,"16.65":1.25257249e+16,"16.66":1.188956135e+16,"16.67":1.125512392e+16,"16.68":1.063199279e+16,"16.69":1.002599024e+16,"16.7":9442014266204824.0,"16.71":8884020635779213.0,"16.72":8356369287644019.0,"16.73":7874099582936953.0,"16.740000000000002":7439333516794457.0,"16.75":7036230107830634.0,"16.76":6660812868803273.0,"16.77":6381204707674979.0,"16.78":6244422615886960.0,"16.79":6165861832871086.0,"16.8":6150575270523351.0,"16.81":6193619116227970.0,"16.82":6293916621267218.0,"16.830000000000002":6450409186020449.0,"16.84":6757532842324843.0,"16.85":7148486147113474.0,"16.86":7576331303351162.0,"16.87":8045080478850869.0,"16.88":8553253968793891.0,"16.89":9111653902833374.0,"16.9":9703429066560572.0,"16.91":1.031873534e+16,"16.92":1.095043964e+16,"16.93":1.160911509e+16,"16.94":1.227553151e+16,"16.95":1.292650495e+16,"16.96":1.355529521e+16,"16.97":1.415343458e+16,"16.98":1.485860991e+16,"16.990000000000002":1.537193416e+16,"17.0":1.583351431e+16,"17.01":1.623668098e+16,"17.02":1.657805008e+16,"17.03":1.687900051e+16,"17.04":1.711581689e+16,"17.05":1.728366316e+16,"17.06":1.737837796e+16,"17.07":1.74014108e+16,"17.080000000000002":1.735502844e+16,"17.09":1.724214181e+16,"17.1":1.711009632e+16,"17.11":1.695133305e+16,"17.12":1.673473184e+16,"17.13":1.646571335e+16,"17.14":1.615091007e+16,"17.150000000000002":1.579706039e+16,"17.16":1.541152126e+16,"17.17":1.500190045e+16,"17.18":1.457596726e+16,"17.19":1.414105892e+16,"17.2":1.370456769e+16,"17.21":1.327329584e+16,"17.22":1.285287339e+16,"17.23":1.244840113e+16,"17.240000000000002":1.20649141e+16,"17.25":1.150257925e+16,"17.26":1.116681405e+16,"17.27":1.085959829e+16,"17.28":1.058172531e+16,"17.29":1.033309043e+16,"17.3":1.011299129e+16,"17.31":9920123302449396.0,"17.32":9752711032912148.0,"17.330000000000002":9608685801209626.0,"17.34":9514726857084276.0,"17.35":9475805984577062.0,"17.36":9455343183040268.0,"17.37":9448421423479578.0,"17.38":9452590572621762.0,"17.39":9473032186100586.0,"17.400000000000002":9505395707417558.0,"17.41":9549870996256214.0,"17.42":9607483999354994.0,"17.43":9679998505564392.0,"17.44":9769841551596274.0,"17.45":9879965332304756.0,"17.46":1.001354628e+16,"17.47":1.017376148e+16,"17.48":1.036424828e+16,"17.490000000000002":1.061469977e+16,"17.5":1.091218588e+16,"17.51":1.124949641e+16,"17.52":1.162912991e+16,"17.53":1.205139603e+16,"17.54":1.251664464e+16,"17.55":1.304871377e+16,"17.56":1.362509924e+16,"17.57":1.423802579e+16,"17.580000000000002":1.489094408e+16,"17.59":1.558383293e+16,"17.6":1.629484739e+16,"17.61":1.703019683e+16,"17.62":1.777019186e+16,"17.63":1.851174145e+16,"17.64":1.923689859e+16,"17.650000000000002":1.994684196e+16,"17.66":2.062181145e+16,"17.67":2.126861123e+16,"17.68":2.186435242e+16,"17.69":2.23944035e+16,"17.7":2.285303956e+16,"17.71":2.322799376e+16,"17.72":2.351403223e+16,"17.73":2.370861988e+16,"17.740000000000002":2.381175087e+16,"17.75":2.382496678e+16,"17.76":2.375108593e+16,"17.77":2.359390146e+16,"17.78":2.335797291e+16,"17.79":2.304824561e+16,"17.8":2.267031307e+16,"17.81":2.223221802e+16,"17.82":2.173818663e+16,"17.830000000000002":2.119152277e+16,"17.84":2.06087302e+16,"17.85":1.999504433e+16,"17.86":1.937242882e+16,"17.87":1.873811695e+16,"17.88":1.808998946e+16,"17.89":1.743736044e+16,"17.900000000000002":1.677888105e+16,"17.91":1.611488752e+16,"17.92":1.545954628e+16,"17.93":1.48218629e+16,"17.94":1.418734025e+16,"17.95":1.356167665e+16,"17.96":1.29816769e+16,"17.97":1.23806828e+16,"17.98":1.17565987e+16,"17.990000000000002":1.111041767e+16,"18.0":1.043688112e+16,"18.01":9874461916002960.0,"18.02":9345001785300080.0,"18.03":8809805347700933.0,"18.04":8278196339624807.0,"18.05":7771492931645933.0,"18.06":7280002551045252.0,"18.07":6912000932916192.0,"18.080000000000002":6543839259534245.0,"18.09":6193253270686380.0,"18.1":5859462480602230.0,"18.11":5551343306634805.0,"18.12":5271836172410090.0,"18.13":5032494841634113.0,"18.14":4826131869186174.0,"18.150000000000002":4654409212102342.0,"18.16":4519986295210061.0,"18.17":4424249040009931.0,"18.18":4367896718984188.5,"18.19":4350429719721863.5,"18.2":4371513291377308.0,"18.21":4430605827115632.0,"18.22":4526419689310525.0,"18.23":4656772269716737.0,"18.240000000000002":4816777641642786.0,"18.25":4989561474924278.0,"18.26":5174544705812007.0,"18.27":5504204141985471.0,"18.28":5878656834136038.0,"18.29":6278324337317333.0,"18.3":6721790063136208.0,"18.31":7182609593411677.0,"18.32":7656127251191715.0,"18.330000000000002":8141798336810931.0,"18.34":8768771262327292.0,"18.35":9403496450232804.0,"18.36":1.001932965e+16,"18.37":1.061547689e+16,"18.38":1.118726737e+16,"18.39":1.173083582e+16,"18.400000000000002":1.224093572e+16,"18.41":1.271282555e+16,"18.42":1.314277215e+16,"18.43":1.352729772e+16,"18.44":1.388049202e+16,"18.45":1.417888841e+16,"18.46":1.441469548e+16,"18.47":1.458708341e+16,"18.48":1.46952201e+16,"18.490000000000002":1.473984171e+16,"18.5":1.474029034e+16,"18.51":1.469800222e+16,"18.52":1.460806511e+16,"18.53":1.447509078e+16,"18.54":1.430456086e+16,"18.55":1.410266998e+16,"18.56":1.387615899e+16,"18.57":1.363218815e+16,"18.580000000000002":1.337836733e+16,"18.59":1.316824902e+16,"18.6":1.301683406e+16,"18.61":1.288149506e+16,"18.62":1.276804485e+16,"18.63":1.268136988e+16,"18.64":1.262574511e+16,"18.650000000000002":1.260420183e+16,"18.66":1.261859862e+16,"18.67":1.266956922e+16,"18.68":1.275651006e+16,"18.69":1.287760666e+16,"18.7":1.303010753e+16,"18.71":1.320978751e+16,"18.72":1.341162644e+16,"18.73":1.363015824e+16,"18.740000000000002":1.385926364e+16,"18.75":1.409270962e+16,"18.76":1.432388654e+16,"18.77":1.454620293e+16,"18.78":1.47534824e+16,"18.79":1.494037068e+16,"18.8":1.510203974e+16,"18.81":1.523452264e+16,"18.82":1.533490888e+16,"18.830000000000002":1.540110282e+16,"18.84":1.543236504e+16,"18.85":1.542899456e+16,"18.86":1.539238301e+16,"18.87":1.532495288e+16,"18.88":1.523020624e+16,"18.89":1.511224437e+16,"18.900000000000002":1.497585797e+16,"18.91":1.482653157e+16,"18.92":1.467016598e+16,"18.93":1.452368376e+16,"18.94":1.437681383e+16,"18.95":1.423534845e+16,"18.96":1.410552256e+16,"18.97":1.399310673e+16,"18.98":1.390323993e+16,"18.990000000000002":1.384119182e+16,"19.0":1.381327196e+16,"19.01":1.382011229e+16,"19.02":1.385988724e+16,"19.03":1.393249227e+16,"19.04":1.40368119e+16,"19.05":1.417087917e+16,"19.06":1.43319059e+16,"19.07":1.451636876e+16,"19.080000000000002":1.471996416e+16,"19.09":1.494398109e+16,"19.1":1.518277739e+16,"19.11":1.542667675e+16,"19.12":1.566964131e+16,"19.13":1.590612638e+16,"19.14":1.613069341e+16,"19.150000000000002":1.633795432e+16,"19.16":1.652312125e+16,"19.17":1.668249278e+16,"19.18":1.681260524e+16,"19.19":1.691096587e+16,"19.2":1.697595228e+16,"19.21":1.70068147e+16,"19.22":1.700367161e+16,"19.23":1.696747171e+16,"19.240000000000002":1.68999348e+16,"19.25":1.680347507e+16,"19.26":1.668109902e+16,"19.27":1.653634992e+16,"19.28":1.637319369e+16,"19.29":1.619540037e+16,"19.3":1.600730011e+16,"19.31":1.581335724e+16,"19.32":1.561737618e+16,"19.330000000000002":1.542290704e+16,"19.34":1.523371662e+16,"19.35":1.505298968e+16,"19.36":1.488299971e+16,"19.37":1.472560241e+16,"19.38":1.45824027e+16,"19.39":1.445451285e+16,"19.400000000000002":1.43419224e+16,"19.41":1.424423461e+16,"19.42":1.416056281e+16,"19.43":1.408966081e+16,"19.44":1.402976448e+16,"19.45":1.3978814e+16,"19.46":1.393430932e+16,"19.47":1.389355297e+16,"19.48":1.385372793e+16,"19.490000000000002":1.381191316e+16,"19.5":1.376515525e+16,"19.51":1.371051103e+16,"19.52":1.364511347e+16,"19.53":1.356618609e+16,"19.54":1.347109113e+16,"19.55":1.335737343e+16,"19.56":1.322277755e+16,"19.57":1.306524501e+16,"19.580000000000002":1.28829482e+16,"19.59":1.267433413e+16,"19.6":1.243801808e+16,"19.61":1.217287589e+16,"19.62":1.191596533e+16,"19.63":1.166764474e+16,"19.64":1.120480065e+16,"19.650000000000002":1.089816948e+16,"19.66":1.058464391e+16,"19.67":1.025226565e+16,"19.68":9902869442608916.0,"19.69":9538602672391410.0,"19.7":9161861297339754.0,"19.71":8775327128560405.0,"19.72":8386741697309583.0,"19.73":8009953753369486.0,"19.740000000000002":7718690304535786.0,"19.75":7423388137570611.0,"19.76":7122564565351515.0,"19.77":6822398580750543.0,"19.78":6530962363819258.0,"19.79":6257699579024962.0,"19.8":5997345326779709.0,"19.81":5752620730773023.0,"19.82":5529588711924218.0,"19.830000000000002":5326972702098614.0,"19.84":5151416201803540.0,"19.85":5001399359610140.0,"19.86":4876219574367269.0,"19.87":4777006848931947.0,"19.88":4704526313721449.0,"19.89":4659178259116235.0,"19.900000000000002":4640666999728040.0,"19.91":4647274613651940.0,"19.92":4677096404372979.0,"19.93":4714127838078232.0,"19.94":4768439591991543.0,"19.95":4910644950857844.0,"19.96":5097793522703773.0,"19.97":5320935732036044.0,"19.98":5565536502788493.0,"19.990000000000002":5828657661560232.0},"4":{"1.5":0.0,"1.51":0.0,"1.52":0.0,"1.53":0.0,"1.54":0.0,"1.55":0.0,"1.56":0.0,"1.57":0.0,"1.58":0.0,"1.59":0.0,"1.6":0.0,"1.61":0.0,"1.62":0.0,"1.6300000000000001":0.0,"1.6400000000000001":0.0,"1.6500000000000001":0.0,"1.6600000000000001":0.0,"1.67":0.0,"1.68":0.0281513885,"1.69":0.0657571229,"1.7":0.0931423757,"1.71":0.1048813031,"1.72":0.1057559351,"1.73":0.120291039,"1.74":0.1617230427,"1.75":0.2003388905,"1.76":0.2341327424,"1.77":0.2625749398,"1.78":0.2846951044,"1.79":0.3162034224,"1.8":0.5607041058,"1.81":1.2797791303,"1.82":2.5932343461,"1.83":2.8396975313,"1.84":2.8287144423,"1.85":2.888828257,"1.86":3.0678713108,"1.87":3.2690997318,"1.8800000000000001":3.4863952098,"1.8900000000000001":3.7029937934,"1.9000000000000001":3.9003374972,"1.9100000000000001":4.0726512077,"1.92":4.215072897,"1.93":4.3328217835,"1.94":4.4208619635,"1.95":4.482670372,"1.96":4.5183351682,"1.97":4.5222128811,"1.98":4.4960235857,"1.99":4.4312601637,"2.0":4.3272337828,"2.0100000000000002":4.1758179013,"2.02":3.973998863,"2.0300000000000002":3.730226759,"2.04":3.4632917921,"2.05":3.1683577833,"2.06":2.852023241,"2.07":2.530036275,"2.08":2.1993648893,"2.09":1.9001729019,"2.1":1.7940311877,"2.11":1.7862448621,"2.12":1.752498003,"2.13":1.6981062258,"2.14":1.6206273577,"2.15":1.5118769904,"2.16":1.3664039036,"2.17":0.7449327904,"2.18":0.3982828318,"2.19":0.1408965373,"2.2":0.0151306195,"2.21":0.0160466726,"2.22":0.0130102962,"2.23":0.010478556,"2.24":0.0083517578,"2.25":0.0065751216,"2.2600000000000002":0.0051432397,"2.27":0.0026163742,"2.2800000000000002":0.0006010786,"2.29":0.0,"2.3000000000000003":0.0,"2.31":0.0,"2.32":0.0,"2.33":0.0,"2.34":0.0,"2.35":0.0,"2.36":0.0,"2.37":0.0,"2.38":0.0,"2.39":0.0,"2.4":0.0,"2.41":0.0,"2.42":0.0,"2.43":0.0,"2.44":0.0,"2.45":0.0,"2.46":0.0,"2.47":0.0,"2.48":0.0,"2.49":0.0,"2.5":0.0,"2.5100000000000002":0.0,"2.52":0.0,"2.5300000000000002":4.6093287623,"2.54":33.383283416,"2.5500000000000003":72.3820812142,"2.56":125.441494422,"2.57":183.9038111741,"2.58":247.2112502527,"2.59":310.2492027644,"2.6":372.2190348157,"2.61":432.3077508021,"2.62":489.7014329396,"2.63":543.602658163,"2.64":593.2475236851,"2.65":637.9219427025,"2.66":676.9769056639,"2.67":709.8424346503,"2.68":736.0399861986,"2.69":755.1930797007,"2.7":767.0359440614,"2.71":771.4199855363,"2.72":768.3178860078,"2.73":757.8251469307,"2.74":740.1589019219,"2.75":715.6538357259,"2.7600000000000002":684.7550718796,"2.77":648.0079297017,"2.7800000000000002":606.0445058204,"2.79":559.5671088741,"2.8000000000000003":509.3286672717,"2.81":456.1103391495,"2.82":400.696678104,"2.83":343.8488420243,"2.84":286.2764716664,"2.85":228.6090014548,"2.86":171.3672908009,"2.87":114.9365714971,"2.88":59.7075864356,"2.89":12.9733461839,"2.9":0.0,"2.91":0.0,"2.92":0.0,"2.93":0.0,"2.94":0.0,"2.95":0.0,"2.96":0.3172540582,"2.97":0.7045377964,"2.98":0.966182703,"2.99":1.1008187619,"3.0":0.8846999869,"3.0100000000000002":0.5164453131,"3.02":0.2409359191,"3.0300000000000002":0.2260704398,"3.04":0.3373658657,"3.0500000000000003":1.1195522649,"3.06":1.4910922594,"3.0700000000000003":1.1887004072,"3.08":0.8560834213,"3.09":0.5132544031,"3.1":0.2608379166,"3.11":0.3664158713,"3.12":0.7161841936,"3.13":1.1857629655,"3.14":1.0052777186,"3.15":0.0,"3.16":11.4100081305,"3.17":56.0565601549,"3.18":103.320235902,"3.19":143.1230624552,"3.2":177.015391687,"3.21":204.3927520017,"3.22":226.5410780906,"3.23":243.2345594688,"3.24":254.2788072052,"3.25":259.5402229977,"3.2600000000000002":258.9673101486,"3.27":252.584215914,"3.2800000000000002":240.4905660524,"3.29":222.8538047842,"3.3000000000000003":199.8851953224,"3.31":171.8368103699,"3.3200000000000003":138.8605735628,"3.33":100.724492897,"3.34":57.6403330907,"3.35":16.2210159474,"3.36":0.8214471869,"3.37":3.8975812657,"3.38":4.3396994134,"3.39":4.936097585,"3.4":5.2801621195,"3.41":4.2458753673,"3.42":2.648976645,"3.43":1.2627192329,"3.44":0.9704354878,"3.45":0.724426917,"3.46":0.4800320749,"3.47":0.2669490988,"3.48":0.0,"3.49":0.0,"3.5":0.0,"3.5100000000000002":0.6024139107,"3.52":5.5697095335,"3.5300000000000002":12.0518964295,"3.54":16.8166129471,"3.5500000000000003":17.6832637516,"3.56":14.8772298637,"3.5700000000000003":12.3991726583,"3.58":8.7505472729,"3.59":4.8278542078,"3.6":1.1914104864,"3.61":0.1539008204,"3.62":0.2025657106,"3.63":0.3660049034,"3.64":0.6319970497,"3.65":1.543108826,"3.66":2.4308043575,"3.67":2.7282297526,"3.68":2.3346058287,"3.69":2.013904503,"3.7":1.5850965335,"3.71":1.0559029104,"3.72":0.4918612086,"3.73":0.0187141719,"3.74":0.0115068565,"3.75":0.0064792489,"3.7600000000000002":9.3367149099,"3.77":26.0701523472,"3.7800000000000002":55.6026042317,"3.79":112.2451296108,"3.8000000000000003":167.8302501774,"3.81":207.5723777292,"3.8200000000000003":235.954555699,"3.83":251.5244052386,"3.84":253.8859147731,"3.85":243.5797447231,"3.86":222.0474652176,"3.87":191.4425652421,"3.88":153.990082123,"3.89":108.7228951268,"3.9":61.2510324818,"3.91":34.7857896422,"3.92":19.1284350271,"3.93":7.9610503249,"3.94":0.0054798263,"3.95":0.0090084647,"3.96":0.0126520989,"3.97":0.0160854769,"3.98":0.0167426041,"3.99":0.040123989,"4.0":0.1289922763,"4.01":0.2057768842,"4.0200000000000005":0.2635164596,"4.03":0.4671964589,"4.04":0.9043222432,"4.05":1.3691550057,"4.0600000000000005":1.8225008589,"4.07":2.0315759202,"4.08":2.3441314724,"4.09":2.7336345365,"4.1":3.0652395292,"4.11":0.0,"4.12":0.0,"4.13":0.0,"4.14":0.0,"4.15":0.0,"4.16":14.0549739503,"4.17":43.5858935455,"4.18":75.2186050457,"4.19":103.5851120418,"4.2":128.5425373345,"4.21":150.3062981676,"4.22":169.0638822267,"4.23":184.9639080292,"4.24":198.1073735686,"4.25":208.5412215603,"4.26":216.2545941141,"4.2700000000000005":221.1780327071,"4.28":223.1857681845,"4.29":222.101248812,"4.3":217.7058648005,"4.3100000000000005":209.7506993144,"4.32":197.9709847312,"4.33":182.1028087881,"4.34":161.9014895481,"4.3500000000000005":137.1612542506,"4.36":108.9230634558,"4.37":79.4312264113,"4.38":48.2634460924,"4.39":19.1897052692,"4.4":10.1432429748,"4.41":7.5443312586,"4.42":4.4104668701,"4.43":2.1150629897,"4.44":2.224711591,"4.45":3.102356854,"4.46":8.1175450211,"4.47":7.6332942385,"4.48":6.5315655558,"4.49":5.8425940563,"4.5":5.316467687,"4.51":4.5100965634,"4.5200000000000005":3.6033041503,"4.53":2.8976193952,"4.54":2.2595181308,"4.55":1.4255488533,"4.5600000000000005":0.4937111253,"4.57":0.0,"4.58":0.0,"4.59":0.0,"4.6000000000000005":0.0,"4.61":0.0,"4.62":0.0,"4.63":0.0,"4.64":0.0,"4.65":0.0,"4.66":0.0,"4.67":0.0,"4.68":0.0,"4.69":0.0,"4.7":0.0,"4.71":0.0,"4.72":0.0,"4.73":0.0,"4.74":0.0,"4.75":0.0,"4.76":0.0,"4.7700000000000005":0.0,"4.78":0.0,"4.79":0.0,"4.8":0.0,"4.8100000000000005":0.0,"4.82":0.0,"4.83":23.7478581737,"4.84":14.7192931607,"4.8500000000000005":17.1742598535,"4.86":25.1135492112,"4.87":41.6515428246,"4.88":47.5936108846,"4.89":56.2094408489,"4.9":87.7029498888,"4.91":102.5848899244,"4.92":119.0989491688,"4.93":139.599909302,"4.94":164.7130933209,"4.95":189.171635836,"4.96":212.7917177856,"4.97":235.7918433097,"4.98":258.9176408909,"4.99":281.1194127538,"5.0":301.6057914316,"5.01":319.6992046158,"5.0200000000000005":334.8454353743,"5.03":346.6240824101,"5.04":354.7370506485,"5.05":359.001370208,"5.0600000000000005":359.338988052,"5.07":355.7630541122,"5.08":348.349631758,"5.09":337.2207381298,"5.1000000000000005":322.5257624428,"5.11":304.4226183181,"5.12":283.0492798815,"5.13":258.5178732575,"5.14":226.1018362464,"5.15":184.0596982175,"5.16":144.3341740176,"5.17":105.0406184846,"5.18":60.3801890484,"5.19":20.8903170233,"5.2":6.7251929107,"5.21":0.0,"5.22":0.0,"5.23":0.0,"5.24":0.0,"5.25":0.0,"5.26":0.0,"5.2700000000000005":0.0,"5.28":10.0655428702,"5.29":58.7952823106,"5.3":107.6113565965,"5.3100000000000005":147.4819909029,"5.32":177.3607230902,"5.33":196.1307593605,"5.34":202.6507609913,"5.3500000000000005":195.7637411027,"5.36":175.2605658831,"5.37":141.027172493,"5.38":95.4148252964,"5.39":42.2016114515,"5.4":10.6441287347,"5.41":4.0988117347,"5.42":1.1720114903,"5.43":2.7388986458,"5.44":10.9290490592,"5.45":8.051651981,"5.46":5.4250709875,"5.47":0.3529967602,"5.48":0.0,"5.49":0.489022716,"5.5":6.2084226287,"5.51":5.8996293857,"5.5200000000000005":5.7527356144,"5.53":5.7691206082,"5.54":5.8835987455,"5.55":6.0514695848,"5.5600000000000005":6.2329309306,"5.57":6.4153653883,"5.58":6.5910090103,"5.59":6.7433849605,"5.6000000000000005":6.8449756728,"5.61":6.4607280899,"5.62":46.5124425001,"5.63":78.5804550919,"5.64":102.5401443378,"5.65":118.4409472986,"5.66":126.4887761514,"5.67":127.0308229085,"5.68":120.5363909834,"5.69":107.5746687292,"5.7":88.7909919476,"5.71":64.8821147303,"5.72":36.5288533488,"5.73":4.4094871434,"5.74":0.0,"5.75":0.5966969247,"5.76":0.9671128655,"5.7700000000000005":0.9252838488,"5.78":0.8162107024,"5.79":0.5588814928,"5.8":0.0563087838,"5.8100000000000005":0.0003778711,"5.82":0.0014195358,"5.83":0.0032633746,"5.84":0.0039135176,"5.8500000000000005":3.2965017085,"5.86":13.6242940193,"5.87":25.4070193882,"5.88":44.3256784383,"5.89":69.4022116289,"5.9":103.9533856213,"5.91":138.665385216,"5.92":175.2537787506,"5.93":210.8987583816,"5.94":236.3277121968,"5.95":264.7730084603,"5.96":297.9530164053,"5.97":330.9909265782,"5.98":362.4821637441,"5.99":391.6967307043,"6.0":418.0862343028,"6.01":428.004234332,"6.0200000000000005":434.3933125381,"6.03":440.0805438145,"6.04":440.5576971896,"6.05":434.3489564895,"6.0600000000000005":442.3903708029,"6.07":439.2430904903,"6.08":427.5264281162,"6.09":405.6365601788,"6.1000000000000005":336.3725767737,"6.11":184.2371879157,"6.12":49.6272232867,"6.13":5.3503569313,"6.140000000000001":10.5054797645,"6.15":19.1106361335,"6.16":41.2993221273,"6.17":76.9158506966,"6.18":121.8680906929,"6.19":162.9873821289,"6.2":199.8114018476,"6.21":231.9681389384,"6.22":259.0262261447,"6.23":280.5145855968,"6.24":295.9032126258,"6.25":304.5867783518,"6.26":305.9595070063,"6.2700000000000005":299.4307654277,"6.28":284.4518532987,"6.29":260.5474600139,"6.3":227.3490515532,"6.3100000000000005":184.6287183855,"6.32":132.3344726936,"6.33":70.6182738103,"6.34":6.0672073973,"6.3500000000000005":0.0,"6.36":0.0,"6.37":0.1935403527,"6.38":0.2128183575,"6.390000000000001":0.234458944,"6.4":0.209340746,"6.41":0.0217342615,"6.42":0.000880278,"6.43":0.0048075888,"6.44":0.0073405058,"6.45":0.0080093556,"6.46":0.0085893676,"6.47":0.0087417155,"6.48":0.0084093919,"6.49":0.0072384939,"6.5":0.0063596282,"6.51":0.0057878919,"6.5200000000000005":0.0053560797,"6.53":0.0051064822,"6.54":0.0050217867,"6.55":0.0050876502,"6.5600000000000005":0.0052973755,"6.57":0.0056441429,"6.58":0.0061202835,"6.59":0.0066371344,"6.6000000000000005":0.0071750959,"6.61":0.007738788,"6.62":0.0083020126,"6.63":0.008845425,"6.640000000000001":0.009340691,"6.65":0.009765559,"6.66":0.0099766028,"6.67":0.0100287561,"6.68":0.0099729191,"6.69":0.0098129661,"6.7":0.0095660989,"6.71":0.009247275,"6.72":0.0088887962,"6.73":0.0085162348,"6.74":0.007952602,"6.75":0.007187914,"6.76":0.0065451965,"6.7700000000000005":0.0060223362,"6.78":0.0056156527,"6.79":0.0053130485,"6.8":0.0050505847,"6.8100000000000005":0.0049358593,"6.82":0.0049782688,"6.83":0.0052014262,"6.84":0.0056561287,"6.8500000000000005":0.0064227186,"6.86":0.0076315737,"6.87":0.1892804081,"6.88":0.4657182639,"6.890000000000001":0.6095641084,"6.9":0.5637477285,"6.91":0.4590878071,"6.92":0.2055284288,"6.93":0.2466004262,"6.94":0.3134089736,"6.95":0.6181027578,"6.96":1.4939933543,"6.97":2.3883849506,"6.98":2.946914394,"6.99":3.9037077731,"7.0":5.0767421076,"7.01":0.2992375664,"7.0200000000000005":0.0,"7.03":0.0,"7.04":0.0,"7.05":0.0,"7.0600000000000005":0.0,"7.07":0.0,"7.08":0.0,"7.09":0.0,"7.1000000000000005":0.0,"7.11":0.0,"7.12":0.0,"7.13":0.0,"7.140000000000001":4.4009693563,"7.15":6.3912581147,"7.16":5.6236759221,"7.17":5.0156320453,"7.18":4.6101184588,"7.19":4.321039491,"7.2":3.2276287029,"7.21":1.9472783991,"7.22":0.7569324756,"7.23":0.4783882982,"7.24":0.4799515682,"7.25":0.9427037062,"7.26":2.7788556076,"7.2700000000000005":4.6626499744,"7.28":4.2686279577,"7.29":3.8036742081,"7.3":3.3749910177,"7.3100000000000005":2.9838944787,"7.32":2.6486739752,"7.33":2.3580131424,"7.34":2.1172850298,"7.3500000000000005":1.9117555792,"7.36":1.7455360342,"7.37":1.6085329472,"7.38":1.486058828,"7.390000000000001":1.370101186,"7.4":1.2491483055,"7.41":1.0859671216,"7.42":0.8598550476,"7.43":0.5826366053,"7.44":0.0139669965,"7.45":0.0125096254,"7.46":0.0116321508,"7.47":0.0086709099,"7.48":0.0057240048,"7.49":0.0037249138,"7.5":0.0005459539,"7.51":0.0,"7.5200000000000005":0.0,"7.53":0.0,"7.54":0.0,"7.55":0.0,"7.5600000000000005":0.0,"7.57":0.0,"7.58":0.0594486556,"7.59":0.3455273048,"7.6000000000000005":0.0,"7.61":0.0,"7.62":0.0,"7.63":0.0,"7.640000000000001":0.0,"7.65":11.6779140121,"7.66":46.3272346419,"7.67":90.9218199577,"7.68":135.9814429263,"7.69":180.1825110686,"7.7":222.0458978446,"7.71":261.01906726,"7.72":296.5455332574,"7.73":328.0863847372,"7.74":355.140510201,"7.75":377.2629289219,"7.76":394.0807002431,"7.7700000000000005":405.3058922181,"7.78":394.5929270847,"7.79":389.8937003348,"7.8":403.5289762556,"7.8100000000000005":391.9523098156,"7.82":374.3704616872,"7.83":351.5715388114,"7.84":323.9555069957,"7.8500000000000005":291.9990084406,"7.86":256.2444799187,"7.87":217.2921434316,"7.88":175.7814219376,"7.890000000000001":132.2911720703,"7.9":87.4413198047,"7.91":41.8411240234,"7.92":6.9779335292,"7.930000000000001":0.0,"7.94":0.0,"7.95":0.0,"7.96":0.0,"7.97":55.2552240382,"7.98":198.9321084255,"7.99":268.2256556671,"8.0":329.3363077356,"8.01":382.1786808559,"8.02":428.8235651768,"8.03":469.5981596854,"8.040000000000001":503.9637436511,"8.05":531.2431386597,"8.06":550.9050945523,"8.07":563.0074086904,"8.08":565.9505923956,"8.09":559.0051282949,"8.1":541.4968666159,"8.11":512.903591672,"8.120000000000001":475.4126104793,"8.13":442.534242468,"8.14":401.0078400757,"8.15":349.2496550947,"8.16":291.9521008869,"8.17":226.1328910266,"8.18":161.6525741606,"8.19":77.6610623909,"8.2":37.1860426092,"8.21":16.0687752418,"8.22":0.0,"8.23":0.0,"8.24":0.0,"8.25":0.0,"8.26":0.3964551378,"8.27":0.8673047572,"8.28":1.2873805946,"8.290000000000001":1.6176318394,"8.3":1.7983735144,"8.31":1.9401148735,"8.32":2.1306659291,"8.33":2.3194128615,"8.34":2.3625825866,"8.35":2.1943364523,"8.36":1.7769817925,"8.370000000000001":1.0422813602,"8.38":0.5136715977,"8.39":0.0815263317,"8.4":0.0,"8.41":0.0,"8.42":0.0,"8.43":0.0,"8.44":0.551311791,"8.45":4.0242667873,"8.46":4.9492685122,"8.47":4.3073624636,"8.48":3.6258267147,"8.49":2.9537661269,"8.5":2.3955758153,"8.51":1.8717315422,"8.52":1.3262321168,"8.53":0.7754867989,"8.540000000000001":0.3968085842,"8.55":0.4854413835,"8.56":0.8803570149,"8.57":1.4114937272,"8.58":1.9765464344,"8.59":2.5556628752,"8.6":0.1345074112,"8.61":0.0,"8.620000000000001":0.0,"8.63":0.0,"8.64":0.0,"8.65":0.0,"8.66":3.2640884136,"8.67":12.3632577571,"8.68":9.932288004,"8.69":6.2473364372,"8.700000000000001":0.0,"8.71":0.0,"8.72":0.0,"8.73":0.0,"8.74":0.0,"8.75":0.0,"8.76":1.9382866159,"8.77":1.862097946,"8.78":1.1365460176,"8.790000000000001":0.5175961722,"8.8":0.0,"8.81":0.0002423809,"8.82":0.0010984082,"8.83":0.0128320303,"8.84":0.3753030906,"8.85":0.7801153322,"8.86":1.1844742851,"8.870000000000001":1.5700477568,"8.88":1.0283969344,"8.89":0.5672668716,"8.9":0.2475027109,"8.91":0.2878630979,"8.92":0.3231177451,"8.93":0.5273607487,"8.94":1.1097036386,"8.950000000000001":1.5397441344,"8.96":1.8293002709,"8.97":1.8607546217,"8.98":1.877383523,"8.99":1.819972851,"9.0":0.0,"9.01":0.0,"9.02":0.0,"9.03":0.0,"9.040000000000001":9.3217284806,"9.05":71.0727764286,"9.06":134.4290967079,"9.07":189.5728762942,"9.08":236.5342909581,"9.09":275.4647342422,"9.1":306.6655489856,"9.11":330.5843104564,"9.120000000000001":347.7958849967,"9.13":358.9798118558,"9.14":364.8942042843,"9.15":366.3470478921,"9.16":364.1662163066,"9.17":359.1696490885,"9.18":352.1372192102,"9.19":343.7854709577,"9.200000000000001":334.7464254307,"9.21":325.551044221,"9.22":316.6118397684,"9.23":308.2279760292,"9.24":300.5876812355,"9.25":293.7721873752,"9.26":287.7677383092,"9.27":282.4816613432,"9.28":277.7613898026,"9.290000000000001":273.4151762927,"9.3":269.2331597544,"9.31":265.0074480635,"9.32":260.5499517888,"9.33":255.7068498513,"9.34":250.3687763032,"9.35":244.4760781876,"9.36":238.0187933029,"9.370000000000001":231.0313177378,"9.38":223.5820585796,"9.39":215.758679954,"9.4":207.650898957,"9.41":199.3289271947,"9.42":190.8196296112,"9.43":182.08712669,"9.44":173.0129612395,"9.450000000000001":163.3795851498,"9.46":152.8583557086,"9.47":141.0031201414,"9.48":127.2502652802,"9.49":110.9283107619,"9.5":92.1577084934,"9.51":69.592377961,"9.52":43.485239505,"9.53":19.1942287525,"9.540000000000001":0.0,"9.55":0.0,"9.56":0.0,"9.57":0.0,"9.58":0.0,"9.59":0.5647423138,"9.6":0.1137063872,"9.61":0.0,"9.620000000000001":0.0,"9.63":0.0,"9.64":0.0,"9.65":0.0,"9.66":6.9196674101,"9.67":36.5914162549,"9.68":78.2317995679,"9.69":139.217286421,"9.700000000000001":200.2913184179,"9.71":261.2569221544,"9.72":316.2602401296,"9.73":367.9243871668,"9.74":411.5932820657,"9.75":438.3162688899,"9.76":448.0735824625,"9.77":446.0328551859,"9.78":432.7283982092,"9.790000000000001":408.2717096629,"9.8":372.9336737785,"9.81":326.2504527445,"9.82":268.3718356764,"9.83":211.741930275,"9.84":149.9760288374,"9.85":75.9686826671,"9.86":34.6577734085,"9.870000000000001":17.7523036268,"9.88":5.1943388029,"9.89":0.0052735874,"9.9":0.0081858271,"9.91":0.0113947888,"9.92":0.0161203457,"9.93":0.2635762591,"9.94":0.4750033076,"9.950000000000001":0.5029862487,"9.96":0.3808970322,"9.97":0.3239228614,"9.98":0.3667330285,"9.99":0.3564782966,"10.0":0.234150371,"10.01":0.3777483248,"10.02":0.7964288556,"10.03":1.3020006527,"10.040000000000001":1.9680531264,"10.05":2.7664042962,"10.06":2.9161860852,"10.07":3.0182539547,"10.08":3.0511169221,"10.09":2.9573380768,"10.1":2.7582249946,"10.11":2.5035368524,"10.120000000000001":2.2307822972,"10.13":1.9564967818,"10.14":1.697265882,"10.15":1.4634429064,"10.16":1.2428027363,"10.17":0.9085550404,"10.18":0.5979418993,"10.19":0.3417202048,"10.200000000000001":0.1147727271,"10.21":0.0057296038,"10.22":0.0065521564,"10.23":0.0103931803,"10.24":0.01119425,"10.25":0.0123306993,"10.26":0.0137953036,"10.27":0.0156057115,"10.28":0.0178082677,"10.290000000000001":0.0199430842,"10.3":0.0188635847,"10.31":0.0530252672,"10.32":0.2240429195,"10.33":0.4172585907,"10.34":0.6182091012,"10.35":0.8119865196,"10.36":0.9706976672,"10.370000000000001":1.0609636866,"10.38":1.0673417538,"10.39":1.0635765322,"10.4":1.0091472567,"10.41":0.9233651368,"10.42":0.7545038931,"10.43":0.3648024623,"10.44":0.0957904734,"10.450000000000001":0.0,"10.46":0.0,"10.47":0.0,"10.48":0.0,"10.49":0.0,"10.5":0.0,"10.51":0.0,"10.52":0.0306061943,"10.53":0.1387939399,"10.540000000000001":0.4733937697,"10.55":0.9997108914,"10.56":2.0383536128,"10.57":2.9226318537,"10.58":3.5753195138,"10.59":4.0264147127,"10.6":4.2925588957,"10.61":4.2344582327,"10.620000000000001":4.0437909322,"10.63":3.7484862545,"10.64":3.3712522703,"10.65":2.9643022423,"10.66":2.5740044938,"10.67":2.0945994052,"10.68":1.6048399545,"10.69":1.2249401087,"10.700000000000001":0.8605505293,"10.71":0.5242889449,"10.72":0.2352381887,"10.73":0.0099874191,"10.74":0.0029563061,"10.75":0.0030713592,"10.76":0.0035745649,"10.77":0.0043480186,"10.78":0.0052035092,"10.790000000000001":0.005547745,"10.8":0.0057197391,"10.81":0.0059611719,"10.82":0.0062456366,"10.83":0.0065512042,"10.84":0.0068492752,"10.85":0.0071004855,"10.86":0.0072639297,"10.870000000000001":0.0064629078,"10.88":0.00509863,"10.89":0.0034259298,"10.9":0.0015770654,"10.91":0.0001264836,"10.92":0.0,"10.93":0.0,"10.94":0.0,"10.950000000000001":0.0,"10.96":0.0,"10.97":0.0,"10.98":0.0,"10.99":0.0,"11.0":0.0,"11.01":0.0,"11.02":0.0,"11.03":0.0,"11.040000000000001":0.0,"11.05":0.0,"11.06":0.0,"11.07":0.0,"11.08":0.0,"11.09":0.0,"11.1":0.0,"11.11":0.0,"11.120000000000001":0.0,"11.13":0.0,"11.14":0.0,"11.15":0.0,"11.16":0.0,"11.17":0.0,"11.18":0.0,"11.19":0.0,"11.200000000000001":0.0,"11.21":0.1756142438,"11.22":0.5156238118,"11.23":0.7388877406,"11.24":0.8064569762,"11.25":0.8394797502,"11.26":0.7804883202,"11.27":0.6197097326,"11.28":0.447916786,"11.290000000000001":0.3648259035,"11.3":0.3772725935,"11.31":0.3871437728,"11.32":0.393219724,"11.33":0.397984817,"11.34":0.4026797563,"11.35":0.4055680758,"11.36":0.4081024738,"11.370000000000001":0.4108866174,"11.38":0.4138075612,"11.39":0.4164348552,"11.4":0.4186215835,"11.41":0.4201169041,"11.42":0.4206431325,"11.43":0.4197982514,"11.44":0.4171256444,"11.450000000000001":0.4126843938,"11.46":0.405413186,"11.47":0.3947405029,"11.48":0.3792857458,"11.49":0.3583120099,"11.5":0.3300739939,"11.51":0.2938235288,"11.52":0.2476226073,"11.53":0.1892555776,"11.540000000000001":0.1208008226,"11.55":0.0493107547,"11.56":0.0244388845,"11.57":0.021115135,"11.58":0.0156094792,"11.59":0.0114987086,"11.6":0.0087935992,"11.61":0.0068979479,"11.620000000000001":0.0047162599,"11.63":0.0031224322,"11.64":1.8412118912,"11.65":4.4026324847,"11.66":5.7363413998,"11.67":8.0113657571,"11.68":13.4450619219,"11.69":13.0984888077,"11.700000000000001":18.1831336608,"11.71":28.1570078934,"11.72":33.6261037533,"11.73":43.5260889414,"11.74":60.8859516893,"11.75":68.5096760796,"11.76":75.8954984374,"11.77":84.7199971735,"11.78":89.9872704169,"11.790000000000001":94.9944420743,"11.8":101.675832825,"11.81":108.2295502515,"11.82":117.9091056459,"11.83":126.9797712207,"11.84":136.1551192621,"11.85":147.75420721,"11.86":160.0964724854,"11.870000000000001":173.6969630493,"11.88":186.1794248243,"11.89":196.4147317871,"11.9":207.5005501733,"11.91":219.1111536041,"11.92":230.8219807069,"11.93":236.122950367,"11.94":229.5914303525,"11.950000000000001":221.2139319314,"11.96":211.4798624373,"11.97":194.4777587479,"11.98":163.1406120858,"11.99":140.145189536,"12.0":106.998290696,"12.01":43.4240570027,"12.02":11.1739346664,"12.030000000000001":0.0,"12.040000000000001":0.0,"12.05":0.0,"12.06":0.591562951,"12.07":65.2865957749,"12.08":135.8245268521,"12.09":198.8741852679,"12.1":254.6405677326,"12.11":303.3298200562,"12.120000000000001":345.096543608,"12.13":380.0328525658,"12.14":408.246733427,"12.15":429.8597854433,"12.16":445.0167630013,"12.17":453.8964342608,"12.18":456.7211149829,"12.19":453.7635876262,"12.200000000000001":445.3504655537,"12.21":431.8614372889,"12.22":413.7241969962,"12.23":391.4051250677,"12.24":365.3960980451,"12.25":336.1980569623,"12.26":304.3022199356,"12.27":270.1699772089,"12.280000000000001":234.2127208917,"12.290000000000001":196.7755457318,"12.3":159.5920624997,"12.31":122.9265449213,"12.32":87.9548498485,"12.33":53.0356074075,"12.34":24.6675179374,"12.35":8.6776740321,"12.36":5.0208909746,"12.370000000000001":1.4017163106,"12.38":0.0036190568,"12.39":0.0,"12.4":0.1130524007,"12.41":0.8090903375,"12.42":5.5665544098,"12.43":4.8633482996,"12.44":3.8360296959,"12.450000000000001":2.9349691719,"12.46":2.3947084333,"12.47":2.0402423684,"12.48":1.3810609153,"12.49":0.8277150263,"12.5":0.3058878767,"12.51":0.0991549571,"12.52":0.0214202545,"12.530000000000001":0.0135312297,"12.540000000000001":0.0147958876,"12.55":0.0135249955,"12.56":0.0119016942,"12.57":0.0086230015,"12.58":0.0062188459,"12.59":0.7909799014,"12.6":6.2480397936,"12.61":11.2185174338,"12.620000000000001":15.8810205034,"12.63":20.3413209917,"12.64":24.6194995526,"12.65":30.3611546022,"12.66":35.9228867881,"12.67":40.4763172124,"12.68":44.1257820637,"12.69":45.0001592069,"12.700000000000001":42.5304914808,"12.71":38.0402241016,"12.72":32.2747317222,"12.73":25.9298372245,"12.74":19.4459177868,"12.75":10.2327696649,"12.76":0.0,"12.77":0.0,"12.780000000000001":0.0,"12.790000000000001":0.0,"12.8":0.0,"12.81":0.0,"12.82":0.0,"12.83":0.0,"12.84":0.0,"12.85":0.0,"12.86":0.0,"12.870000000000001":0.0,"12.88":0.0,"12.89":0.0,"12.9":0.0,"12.91":0.0,"12.92":0.0,"12.93":0.0,"12.94":0.0,"12.950000000000001":0.0,"12.96":0.0,"12.97":0.0,"12.98":0.2795840993,"12.99":4.4131979177,"13.0":4.1611256559,"13.01":3.8265530838,"13.02":3.4850119023,"13.030000000000001":3.1865403941,"13.040000000000001":2.9468780312,"13.05":2.7515727265,"13.06":2.6182680853,"13.07":2.4635226257,"13.08":1.9575432646,"13.09":1.6289648497,"13.1":1.3091209677,"13.11":1.017800114,"13.120000000000001":0.7826737906,"13.13":0.5942294161,"13.14":0.4445392956,"13.15":0.405938132,"13.16":0.3870894468,"13.17":0.3656125315,"13.18":0.3392610952,"13.19":0.3078347062,"13.200000000000001":0.2700921542,"13.21":0.2249106088,"13.22":0.1716527826,"13.23":0.1111874183,"13.24":0.0492486723,"13.25":0.021548794,"13.26":0.0167013951,"13.27":0.0169035179,"13.280000000000001":0.0146986251,"13.290000000000001":0.0129557566,"13.3":0.0109167814,"13.31":0.0081766473,"13.32":0.0055800643,"13.33":4.9210809614,"13.34":11.7811711064,"13.35":18.3589277979,"13.36":24.8898155502,"13.370000000000001":34.6296280737,"13.38":46.4805737046,"13.39":61.1793814024,"13.4":79.3176046671,"13.41":99.218245313,"13.42":112.3366624858,"13.43":121.645674382,"13.44":127.152705881,"13.450000000000001":128.0318619375,"13.46":124.2431653076,"13.47":116.8219120187,"13.48":105.0837683383,"13.49":88.4959658261,"13.5":68.4733632255,"13.51":53.6844999506,"13.52":40.2286830863,"13.530000000000001":28.0714802569,"13.540000000000001":16.4448086762,"13.55":6.442485793,"13.56":0.0,"13.57":0.0,"13.58":0.0045654381,"13.59":0.0055918691,"13.6":0.0050031845,"13.61":0.0041854268,"13.620000000000001":0.0088063373,"13.63":0.305889595,"13.64":0.6507857779,"13.65":1.0155200364,"13.66":1.3771009398,"13.67":1.771801927,"13.68":2.2130682465,"13.69":2.4960786687,"13.700000000000001":2.7780735898,"13.71":3.0535419641,"13.72":3.3096404442,"13.73":3.5199218576,"13.74":3.6679514205,"13.75":3.7210004998,"13.76":3.5390428353,"13.77":3.3081840926,"13.780000000000001":3.0159905631,"13.790000000000001":2.6892646984,"13.8":2.364000596,"13.81":2.0758870372,"13.82":1.8542218553,"13.83":1.7241139812,"13.84":1.7006938124,"13.85":1.7874640657,"13.86":1.9768039964,"13.870000000000001":2.247541905,"13.88":2.5720834825,"13.89":2.9210278102,"13.9":3.2611841713,"13.91":3.559533187,"13.92":3.7936364683,"13.93":3.9378499444,"13.94":3.9737089133,"13.950000000000001":3.8350390363,"13.96":3.6080457188,"13.97":3.3272100266,"13.98":2.8781861856,"13.99":2.3475116817,"14.0":1.8990485827,"14.01":1.5253441583,"14.02":1.1085003731,"14.030000000000001":0.6824784309,"14.040000000000001":0.323647942,"14.05":0.2285862959,"14.06":0.1338738876,"14.07":0.0448256842,"14.08":0.020762706,"14.09":0.0209467022,"14.1":0.0168271564,"14.11":0.0131579194,"14.120000000000001":0.0104457381,"14.13":0.0086445597,"14.14":0.0072046694,"14.15":0.0061667571,"14.16":0.0053958436,"14.17":0.0045096319,"14.18":0.0037631884,"14.19":0.3116364244,"14.200000000000001":0.920565445,"14.21":1.445518245,"14.22":1.8789602536,"14.23":2.2266034109,"14.24":2.5661997366,"14.25":2.8791249273,"14.26":3.1402504597,"14.27":3.5411867344,"14.280000000000001":3.7646063787,"14.290000000000001":3.8755173131,"14.3":3.773189835,"14.31":3.4288827251,"14.32":2.620146062,"14.33":1.0365645249,"14.34":0.0049393077,"14.35":0.0051399675,"14.36":0.0077726367,"14.370000000000001":0.0073430812,"14.38":0.007083161,"14.39":0.0067163177,"14.4":0.0061804578,"14.41":0.0031594593,"14.42":0.0008731775,"14.43":0.0,"14.44":0.0,"14.450000000000001":0.1276116002,"14.46":0.2643519665,"14.47":0.40851782,"14.48":0.4766708942,"14.49":0.5226831511,"14.5":0.5494395596,"14.51":0.5541437724,"14.52":0.5414933302,"14.530000000000001":0.5117663956,"14.540000000000001":0.4625436544,"14.55":0.3980496663,"14.56":0.3197721041,"14.57":0.2286153885,"14.58":0.1336563088,"14.59":0.0419113029,"14.6":0.0,"14.61":0.0,"14.620000000000001":0.0,"14.63":0.0,"14.64":0.0,"14.65":0.0,"14.66":0.0,"14.67":0.0,"14.68":0.0,"14.69":0.0,"14.700000000000001":0.0,"14.71":0.0,"14.72":0.0,"14.73":0.0,"14.74":0.0,"14.75":0.0,"14.76":0.0,"14.77":0.0,"14.780000000000001":0.0,"14.790000000000001":0.0,"14.8":0.0,"14.81":0.0,"14.82":0.0,"14.83":0.0,"14.84":0.0,"14.85":0.0,"14.86":0.0,"14.870000000000001":0.0,"14.88":0.0,"14.89":0.8894371716,"14.9":3.4329625077,"14.91":6.1048796886,"14.92":9.1439588077,"14.93":12.1577214823,"14.94":15.3974029102,"14.950000000000001":18.5654124931,"14.96":21.6217928489,"14.97":24.6589364042,"14.98":26.8955843831,"14.99":28.6199701713,"15.0":29.695848119,"15.01":29.9554424635,"15.02":29.3229626296,"15.030000000000001":27.792729209,"15.040000000000001":25.6841883961,"15.05":22.8673819537,"15.06":19.6260764099,"15.07":16.0739087694,"15.08":12.4247179254,"15.09":8.6290477114,"15.1":5.0054730469,"15.11":1.3444600852,"15.120000000000001":0.0,"15.13":0.0,"15.14":0.0,"15.15":0.0,"15.16":0.0008177135,"15.17":0.0006258386,"15.18":0.0005203727,"15.19":0.0005155797,"15.200000000000001":0.0005892846,"15.21":0.0007348115,"15.22":0.0008821706,"15.23":0.0011008869,"15.24":0.0013859833,"15.25":0.001728336,"15.26":0.0021136555,"15.27":0.0025266655,"15.280000000000001":0.0029493563,"15.290000000000001":0.0033644152,"15.3":0.0037572117,"15.31":0.0041169595,"15.32":0.0044376076,"15.33":0.0047175961,"15.34":0.0049600186,"15.35":0.0051721793,"15.36":0.0053651448,"15.370000000000001":0.0055533057,"15.38":0.0057544118,"15.39":0.0059889007,"15.4":0.006272393,"15.41":0.0066238768,"15.42":0.0070615812,"15.43":0.0076033546,"15.44":0.0082638161,"15.450000000000001":0.0090507295,"15.46":0.0098505754,"15.47":0.0106277407,"15.48":0.0114968031,"15.49":0.0090831621,"15.5":0.0102374211,"15.51":0.0115390183,"15.52":0.0130359204,"15.530000000000001":0.0147903282,"15.540000000000001":0.0168989167,"15.55":0.0217048355,"15.56":0.0292757736,"15.57":0.0427851475,"15.58":0.0622969129,"15.59":0.0850856925,"15.6":0.1097839748,"15.610000000000001":0.1358516054,"15.620000000000001":0.1637451139,"15.63":0.1919374853,"15.64":0.2210814594,"15.65":0.2506174924,"15.66":0.2799390359,"15.67":0.3913647091,"15.68":0.5988278953,"15.69":0.869592543,"15.700000000000001":1.1661053462,"15.71":1.4654083744,"15.72":1.7821842724,"15.73":2.1399120575,"15.74":2.2907745575,"15.75":2.5001538781,"15.76":2.7658867978,"15.77":3.1569014226,"15.780000000000001":3.6687890487,"15.790000000000001":4.2418027975,"15.8":4.7304918707,"15.81":3.4745095243,"15.82":0.2821954885,"15.83":0.0,"15.84":0.0,"15.85":0.0,"15.860000000000001":0.0,"15.870000000000001":0.0,"15.88":0.0,"15.89":0.0,"15.9":0.0,"15.91":0.0,"15.92":0.0,"15.93":0.0,"15.94":0.0,"15.950000000000001":0.0,"15.96":0.0,"15.97":0.0499735754,"15.98":1.3720323539,"15.99":4.5987198155,"16.0":4.1104808011,"16.01":3.5033134993,"16.02":2.963529217,"16.03":2.5293005211,"16.04":2.1985101516,"16.05":1.9345811793,"16.06":1.7137803967,"16.07":1.5184979451,"16.080000000000002":1.269819663,"16.09":0.9087275253,"16.1":0.6194879118,"16.11":0.3407576643,"16.12":0.0830067792,"16.13":0.0106786367,"16.14":0.0092130393,"16.15":0.0122046339,"16.16":0.0121558207,"16.17":0.0122985145,"16.18":0.0125765436,"16.19":0.0129514389,"16.2":0.0109657798,"16.21":0.0091280462,"16.22":0.0078457549,"16.23":0.006944484,"16.240000000000002":0.0062920038,"16.25":0.0058158011,"16.26":0.0054794907,"16.27":0.0052673931,"16.28":0.0051685577,"16.29":0.0051631425,"16.3":0.0052459094,"16.31":0.0054120865,"16.32":0.005675727,"16.330000000000002":0.0060519,"16.34":0.0065742987,"16.35":0.0072762975,"16.36":0.0082043966,"16.37":0.0092871661,"16.38":0.0106510669,"16.39":0.0124758404,"16.4":0.0147808809,"16.41":0.0174067965,"16.42":0.0199744131,"16.43":0.0178435077,"16.44":0.0196505437,"16.45":0.0270044424,"16.46":0.0592366759,"16.47":0.1037836515,"16.48":0.1451424133,"16.490000000000002":0.2038570658,"16.5":0.3771169697,"16.51":0.572189276,"16.52":0.7370320446,"16.53":0.8607795467,"16.54":0.9455286632,"16.55":0.9944175696,"16.56":1.0103690313,"16.57":0.9962368818,"16.580000000000002":0.9538923522,"16.59":0.8862526948,"16.6":0.7987660507,"16.61":0.694367995,"16.62":0.5760086698,"16.63":0.4474018335,"16.64":0.312858842,"16.65":0.1761397408,"16.66":0.0441510334,"16.67":0.0,"16.68":0.0,"16.69":0.0,"16.7":0.0,"16.71":0.0,"16.72":0.0,"16.73":0.0,"16.740000000000002":0.0,"16.75":0.0001403542,"16.76":0.001202854,"16.77":0.0025893808,"16.78":0.0,"16.79":0.0,"16.8":0.0,"16.81":0.0,"16.82":0.0,"16.830000000000002":0.0,"16.84":0.0077524693,"16.85":0.007585518,"16.86":0.007773142,"16.87":0.0081604351,"16.88":0.0086863156,"16.89":0.0091128306,"16.9":0.0095866179,"16.91":0.0101572041,"16.92":0.0108331375,"16.93":0.0113222076,"16.94":0.0336978131,"16.95":0.1901250043,"16.96":0.3539101164,"16.97":0.538121324,"16.98":0.6946845243,"16.990000000000002":0.8775763971,"17.0":1.0233834242,"17.01":0.996694421,"17.02":0.9278947973,"17.03":0.8790970057,"17.04":0.8124698832,"17.05":0.7187621272,"17.06":0.6032718179,"17.07":0.4571477805,"17.080000000000002":0.3113974059,"17.09":0.2050063849,"17.1":0.1712270738,"17.11":0.1693268763,"17.12":0.1630988299,"17.13":0.1531716162,"17.14":0.1382542712,"17.150000000000002":0.1198729732,"17.16":0.0986358292,"17.17":0.0752807987,"17.18":0.0513634065,"17.19":0.032179666,"17.2":0.0220036016,"17.21":0.0175546652,"17.22":0.015255716,"17.23":0.0134223434,"17.240000000000002":0.0119352194,"17.25":0.0140291589,"17.26":0.0129642823,"17.27":0.0119906869,"17.28":0.0110890005,"17.29":0.0102421282,"17.3":0.0094384321,"17.31":0.0086701841,"17.32":0.0079319852,"17.330000000000002":0.0072197504,"17.34":0.0060795035,"17.35":0.0044460594,"17.36":0.0029330966,"17.37":0.0016437231,"17.38":0.0006580704,"17.39":0.0000643636,"17.400000000000002":0.0,"17.41":0.0,"17.42":0.0,"17.43":0.0,"17.44":0.0,"17.45":0.0,"17.46":0.0,"17.47":0.0,"17.48":0.0,"17.490000000000002":0.0,"17.5":0.0,"17.51":0.0,"17.52":0.0,"17.53":0.0,"17.54":0.041921604,"17.55":0.1292201499,"17.56":0.2257738759,"17.57":0.3390833757,"17.580000000000002":0.4687502663,"17.59":0.6163209855,"17.6":0.7804611811,"17.61":0.9456049107,"17.62":1.1348095587,"17.63":1.3491213148,"17.64":1.5712593994,"17.650000000000002":1.8076460934,"17.66":2.0548805731,"17.67":2.3108874186,"17.68":2.0094852455,"17.69":0.0,"17.7":0.0,"17.71":0.0,"17.72":0.0,"17.73":0.0,"17.740000000000002":0.0,"17.75":0.0,"17.76":0.0,"17.77":0.0,"17.78":0.0,"17.79":0.0,"17.8":0.0,"17.81":0.0,"17.82":0.0,"17.830000000000002":0.0,"17.84":1.9923906769,"17.85":1.762268333,"17.86":1.559460181,"17.87":1.3866104689,"17.88":1.232972964,"17.89":1.0969600808,"17.900000000000002":0.9867807032,"17.91":0.8946607509,"17.92":0.8071586625,"17.93":0.7144008143,"17.94":0.6020033056,"17.95":0.3903238428,"17.96":0.2120022434,"17.97":0.0410689032,"17.98":0.0015201816,"17.990000000000002":0.0044707281,"18.0":0.007555432,"18.01":0.008596603,"18.02":0.0089929793,"18.03":0.009405853,"18.04":0.0097389902,"18.05":0.0097242092,"18.06":0.0095906103,"18.07":0.0077787948,"18.080000000000002":0.0063632483,"18.09":0.0052106248,"18.1":0.0043236118,"18.11":1.5907479218,"18.12":3.3964271103,"18.13":5.0299193008,"18.14":6.4421836919,"18.150000000000002":7.5758557122,"18.16":8.5235578393,"18.17":9.2918140597,"18.18":9.8735500092,"18.19":10.1900164274,"18.2":10.217707137,"18.21":9.9685756117,"18.22":9.4118516174,"18.23":8.4673983212,"18.240000000000002":6.9002413917,"18.25":3.8238891057,"18.26":0.0,"18.27":0.0,"18.28":0.0,"18.29":0.0,"18.3":0.0051289588,"18.31":0.0050205209,"18.32":0.0049807534,"18.330000000000002":0.0049642943,"18.34":0.0031026749,"18.35":0.0013981739,"18.36":0.0002882383,"18.37":0.0,"18.38":0.0,"18.39":0.0,"18.400000000000002":0.0853385977,"18.41":0.1974870748,"18.42":0.3048416426,"18.43":0.4024633037,"18.44":0.4976773149,"18.45":0.576958888,"18.46":0.6355365851,"18.47":0.6705382654,"18.48":0.6824752332,"18.490000000000002":0.6687718633,"18.5":0.6425628112,"18.51":0.6050386576,"18.52":0.5513095807,"18.53":0.483455494,"18.54":0.4028258375,"18.55":0.3097776722,"18.56":0.2045571048,"18.57":0.0978384078,"18.580000000000002":0.0263851861,"18.59":0.0168639805,"18.6":0.013311344,"18.61":0.0131256145,"18.62":0.0133896181,"18.63":0.0138347719,"18.64":0.0144165941,"18.650000000000002":0.015106231,"18.66":0.0158837359,"18.67":0.016736168,"18.68":0.0176547514,"18.69":0.0186338956,"18.7":0.0196654319,"18.71":0.0207510795,"18.72":0.0218835703,"18.73":0.0230861444,"18.740000000000002":0.0243681983,"18.75":0.0258951526,"18.76":0.0302281929,"18.77":0.0364440724,"18.78":0.0471717043,"18.79":0.0606412865,"18.8":0.0744729355,"18.81":0.0874462551,"18.82":0.098639111,"18.830000000000002":0.1081058434,"18.84":0.1153895662,"18.85":0.1203124756,"18.86":0.1228025892,"18.87":0.1228823851,"18.88":0.1207640468,"18.89":0.1165870403,"18.900000000000002":0.110584338,"18.91":0.1027786564,"18.92":0.0939995236,"18.93":0.0907302443,"18.94":0.0845266435,"18.95":0.0759029087,"18.96":0.0662058237,"18.97":0.0567425203,"18.98":0.0486534059,"18.990000000000002":0.0430906384,"19.0":0.0406974439,"19.01":0.0406645432,"19.02":0.042476747,"19.03":0.0462937355,"19.04":0.0522615226,"19.05":0.0604246414,"19.06":0.0706837533,"19.07":0.0828364863,"19.080000000000002":0.096935263,"19.09":0.1161836597,"19.1":0.1400748458,"19.11":0.1666885808,"19.12":0.1962361821,"19.13":0.2269674085,"19.14":0.2570533459,"19.150000000000002":0.2865830623,"19.16":0.3154844407,"19.17":0.3409470789,"19.18":0.3636015468,"19.19":0.3833509289,"19.2":0.4001948544,"19.21":0.4143331055,"19.22":0.4262583259,"19.23":0.4365757369,"19.240000000000002":0.4458551458,"19.25":0.4548058794,"19.26":0.4639294406,"19.27":0.4730414895,"19.28":0.4811468307,"19.29":0.4903335651,"19.3":0.498929931,"19.31":0.5043438004,"19.32":0.5077981621,"19.330000000000002":0.5104907749,"19.34":0.5102578048,"19.35":0.5069803353,"19.36":0.5026842151,"19.37":0.498205349,"19.38":0.4926722947,"19.39":0.4852493052,"19.400000000000002":0.477903632,"19.41":0.4708990473,"19.42":0.4641582981,"19.43":0.4571941211,"19.44":0.449755445,"19.45":0.4410112601,"19.46":0.4310599651,"19.47":0.4195072962,"19.48":0.4059773748,"19.490000000000002":0.389881321,"19.5":0.370815067,"19.51":0.3481584156,"19.52":0.3217188144,"19.53":0.2908105793,"19.54":0.254783586,"19.55":0.2132989128,"19.56":0.1660481071,"19.57":0.1125989422,"19.580000000000002":0.0545534119,"19.59":0.0075176923,"19.6":0.0055985863,"19.61":0.0065418923,"19.62":0.0070188536,"19.63":0.0069640656,"19.64":0.0102100725,"19.650000000000002":0.010466368,"19.66":0.0105384101,"19.67":0.0106405889,"19.68":0.0107712357,"19.69":0.0109274473,"19.7":0.0111047671,"19.71":0.0112975368,"19.72":0.0114230856,"19.73":0.0113080861,"19.740000000000002":0.0098474452,"19.75":0.0085177046,"19.76":0.0074414481,"19.77":0.0065762862,"19.78":0.0058329696,"19.79":0.0051220082,"19.8":0.0045239515,"19.81":0.139785412,"19.82":1.6561037896,"19.830000000000002":3.0534331106,"19.84":4.3471349564,"19.85":5.5098070943,"19.86":6.5170874691,"19.87":7.3537804156,"19.88":7.9996859092,"19.89":8.432173595,"19.900000000000002":8.6001713123,"19.91":8.3731497262,"19.92":7.6797302712,"19.93":5.5742859248,"19.94":2.7243948318,"19.95":0.6489560405,"19.96":0.0,"19.97":0.0,"19.98":0.0,"19.990000000000002":0.0},"5":{"1.5":362.2408811212,"1.51":360.2896841915,"1.52":358.5056782423,"1.53":357.0021510646,"1.54":355.7744789888,"1.55":355.002044379,"1.56":354.7714263977,"1.57":355.166372811,"1.58":356.2646570816,"1.59":358.1173471112,"1.6":360.7507213666,"1.61":364.2510977202,"1.62":368.9642435064,"1.6300000000000001":375.5929359189,"1.6400000000000001":383.4364010027,"1.6500000000000001":391.885762115,"1.6600000000000001":401.0330753449,"1.67":411.7479827664,"1.68":424.143459887,"1.69":437.8390337349,"1.7":453.172697466,"1.71":470.2694597115,"1.72":489.8811287725,"1.73":509.0853211478,"1.74":525.1715440252,"1.75":542.3787875456,"1.76":560.8381995981,"1.77":580.6620658931,"1.78":602.0062900621,"1.79":623.2346867509,"1.8":630.3005108618,"1.81":631.3810853414,"1.82":643.5857161034,"1.83":666.9959097703,"1.84":691.7620725726,"1.85":715.3322750799,"1.86":734.689453199,"1.87":752.9492125903,"1.8800000000000001":770.7443587764,"1.8900000000000001":787.8125497422,"1.9000000000000001":804.201033658,"1.9100000000000001":819.8103753112,"1.92":834.6779989088,"1.93":848.5759537324,"1.94":861.4978856594,"1.95":873.3335252099,"1.96":883.9655350464,"1.97":893.38019677,"1.98":901.4667198074,"1.99":908.1451220012,"2.0":913.3521015468,"2.0100000000000002":917.0192470093,"2.02":919.096146936,"2.0300000000000002":919.5232526036,"2.04":918.163885597,"2.05":915.0327955583,"2.06":910.0984423185,"2.07":903.2273243876,"2.08":894.2560991243,"2.09":882.786434186,"2.1":864.1675421689,"2.11":842.6990413681,"2.12":820.271643544,"2.13":796.6691296494,"2.14":772.0571215932,"2.15":746.3316505465,"2.16":719.5543169478,"2.17":693.7495767623,"2.18":666.6657312541,"2.19":643.0433835988,"2.2":623.8221274841,"2.21":639.7487461023,"2.22":615.7829691339,"2.23":593.1070543874,"2.24":571.4753951857,"2.25":551.0280717212,"2.2600000000000002":531.9290924232,"2.27":496.0032308241,"2.2800000000000002":460.184147374,"2.29":431.9636403811,"2.3000000000000003":406.447361993,"2.31":386.7111886947,"2.32":374.6589414033,"2.33":357.2269448362,"2.34":355.1849072587,"2.35":331.530810943,"2.36":335.9557125996,"2.37":312.9553211103,"2.38":302.7173655694,"2.39":303.7152414587,"2.4":302.0545826417,"2.41":294.1604626365,"2.42":285.635963246,"2.43":276.8912490805,"2.44":254.604617938,"2.45":257.1790891202,"2.46":243.7148786045,"2.47":227.2217952681,"2.48":221.3995437243,"2.49":204.0776464135,"2.5":191.3833037848,"2.5100000000000002":241.5348664273,"2.52":293.4115416553,"2.5300000000000002":317.3839864964,"2.54":366.6568380499,"2.5500000000000003":419.106910891,"2.56":482.9481485429,"2.57":553.0020598885,"2.58":631.3492592837,"2.59":709.9251259558,"2.6":787.5393133858,"2.61":863.0078425461,"2.62":935.1303280967,"2.63":1002.7197995173,"2.64":1064.6327510883,"2.65":1119.7985193657,"2.66":1167.247101459,"2.67":1206.1345731601,"2.68":1235.7653381995,"2.69":1255.6105327168,"2.7":1265.3220201171,"2.71":1264.7415391301,"2.72":1253.9047027904,"2.73":1233.0396947218,"2.74":1202.5606509476,"2.75":1163.0558655775,"2.7600000000000002":1115.2711004665,"2.77":1060.0884140299,"2.7800000000000002":998.5010470175,"2.79":931.5850207757,"2.8000000000000003":860.4681956375,"2.81":786.2976177579,"2.82":710.2060495795,"2.83":633.2786110655,"2.84":556.5204828537,"2.85":480.8266137937,"2.86":406.9543534973,"2.87":335.4998978125,"2.88":268.0370886557,"2.89":212.2892801111,"2.9":202.0694190411,"2.91":210.8603007214,"2.92":132.2528500348,"2.93":148.0451176742,"2.94":166.3329083931,"2.95":193.8767137817,"2.96":224.1169233045,"2.97":261.652910948,"2.98":299.2440714303,"2.99":337.7333231903,"3.0":381.1047341381,"3.0100000000000002":433.2511192511,"3.02":493.5271706548,"3.0300000000000002":543.1478567451,"3.04":588.5244837677,"3.0500000000000003":633.3352769095,"3.06":706.0484212791,"3.0700000000000003":787.1716476013,"3.08":873.6510617045,"3.09":964.6366010517,"3.1":1059.4949266395,"3.11":1158.752200866,"3.12":1261.2812649012,"3.13":1365.602240109,"3.14":1468.7950251898,"3.15":1580.1381211266,"3.16":1682.5412800878,"3.17":1837.3192891507,"3.18":1966.0039088637,"3.19":2093.9996888142,"3.2":2212.6287314159,"3.21":2320.0092641199,"3.22":2409.1678663195,"3.23":2478.172471788,"3.24":2525.616442811,"3.25":2550.5652580231,"3.2600000000000002":2552.5106035913,"3.27":2531.3907626431,"3.2800000000000002":2487.5774771776,"3.29":2421.8713479375,"3.3000000000000003":2335.5334563519,"3.31":2230.244434738,"3.3200000000000003":2108.4630461852,"3.33":1974.2004572501,"3.34":1830.3507272836,"3.35":1661.6121720176,"3.36":1521.7083202217,"3.37":1401.6592275854,"3.38":1271.73693699,"3.39":1139.2482860725,"3.4":1006.7972926144,"3.41":876.771478383,"3.42":751.9602603507,"3.43":633.9592257748,"3.44":524.8201127349,"3.45":423.9138290127,"3.46":332.2402237562,"3.47":250.4446268341,"3.48":182.0892501869,"3.49":121.2344797459,"3.5":67.7193392959,"3.5100000000000002":26.2581077907,"3.52":1.2556093382,"3.5300000000000002":0.0,"3.54":0.0,"3.5500000000000003":0.0,"3.56":0.0,"3.5700000000000003":0.0,"3.58":28.0522876566,"3.59":66.9356165811,"3.6":114.8707290396,"3.61":170.2054548607,"3.62":232.2476511804,"3.63":298.133619057,"3.64":368.2945906201,"3.65":442.7143236237,"3.66":520.281548507,"3.67":599.3412298535,"3.68":673.5982053519,"3.69":737.9381479655,"3.7":799.9074263564,"3.71":855.0909846956,"3.72":900.1862069895,"3.73":949.3328255676,"3.74":983.5366731612,"3.75":1007.653056628,"3.7600000000000002":1021.3310252714,"3.77":1041.9489202414,"3.7800000000000002":1058.0514553156,"3.79":1024.6212542797,"3.8000000000000003":995.0550567652,"3.81":996.8282945607,"3.8200000000000003":993.8759737742,"3.83":988.3519398795,"3.84":982.6270521698,"3.85":977.1196382434,"3.86":970.5348585607,"3.87":960.8083030175,"3.88":946.2998106436,"3.89":949.4221597188,"3.9":967.0967492415,"3.91":937.3015157336,"3.92":904.4873754415,"3.93":870.0626104675,"3.94":842.1777367657,"3.95":823.7932542874,"3.96":797.0363943599,"3.97":761.2915503849,"3.98":687.2347002416,"3.99":643.7171345603,"4.0":600.6339413954,"4.01":557.8204846104,"4.0200000000000005":515.7155014889,"4.03":462.8229356878,"4.04":406.9179475644,"4.05":356.4839337634,"4.0600000000000005":307.0321215084,"4.07":261.6822618437,"4.08":218.2787244571,"4.09":177.7993607144,"4.1":140.3492587724,"4.11":99.5922140833,"4.12":72.8227668035,"4.13":52.3137513126,"4.14":39.2698074752,"4.15":27.3082479563,"4.16":25.2295503654,"4.17":45.9379687516,"4.18":73.442252285,"4.19":97.3299912216,"4.2":118.3707098649,"4.21":136.5605397782,"4.22":151.877051773,"4.23":164.2821592108,"4.24":173.7199440165,"4.25":180.1155978013,"4.26":183.3760855183,"4.2700000000000005":183.3929112895,"4.28":180.0472476205,"4.29":173.2172900121,"4.3":162.7876816519,"4.3100000000000005":148.6606851149,"4.32":130.768662486,"4.33":109.087298049,"4.34":83.6488996885,"4.3500000000000005":54.5543480379,"4.36":19.4188117848,"4.37":0.0,"4.38":0.0,"4.39":0.0,"4.4":0.0,"4.41":0.0,"4.42":0.0,"4.43":14.3163359979,"4.44":25.2664879102,"4.45":43.8353352697,"4.46":84.6952188795,"4.47":126.8442091144,"4.48":170.5801631393,"4.49":217.389235795,"4.5":266.5823785805,"4.51":316.45278128,"4.5200000000000005":364.1877095318,"4.53":406.2981331996,"4.54":439.9562160431,"4.55":461.7090822396,"4.5600000000000005":468.8781521033,"4.57":478.33277783,"4.58":484.6616556274,"4.59":497.4206474182,"4.6000000000000005":500.2977695209,"4.61":497.1996312571,"4.62":490.3122743981,"4.63":467.5757577842,"4.64":460.7910328335,"4.65":439.9542779217,"4.66":417.5403538983,"4.67":399.8324697386,"4.68":403.3442541481,"4.69":446.455187207,"4.7":461.6897140306,"4.71":470.9129712571,"4.72":493.6162368457,"4.73":463.0890943757,"4.74":445.652491236,"4.75":432.4400965738,"4.76":423.3479587087,"4.7700000000000005":406.0240887488,"4.78":376.5545152004,"4.79":340.1838210292,"4.8":282.8922754624,"4.8100000000000005":279.6907201694,"4.82":297.904089491,"4.83":292.5314578149,"4.84":305.4695240481,"4.8500000000000005":345.7235008993,"4.86":375.0846984552,"4.87":401.5964046615,"4.88":424.6376454801,"4.89":456.9407589744,"4.9":522.5429353207,"4.91":559.8952141716,"4.92":580.0923306608,"4.93":595.7870186164,"4.94":603.7840840155,"4.95":582.2684643406,"4.96":582.2707683433,"4.97":609.7341836575,"4.98":641.838439367,"4.99":669.1467772332,"5.0":691.3693179106,"5.01":708.2753769887,"5.0200000000000005":719.6948011143,"5.03":725.5305427584,"5.04":725.7415921478,"5.05":720.342484694,"5.0600000000000005":709.4046152615,"5.07":693.0567900446,"5.08":671.4644052001,"5.09":644.8295341428,"5.1000000000000005":613.3888400642,"5.11":577.4073149944,"5.12":537.1517027359,"5.13":492.8067503193,"5.14":464.3948065696,"5.15":438.3866033715,"5.16":473.7098893194,"5.17":480.6401667073,"5.18":417.8565865446,"5.19":367.1947971948,"5.2":337.9003383735,"5.21":315.4239019953,"5.22":272.9240187544,"5.23":231.4270259736,"5.24":189.6192927589,"5.25":141.9216303657,"5.26":138.5682778343,"5.2700000000000005":111.1886599314,"5.28":66.3819931101,"5.29":85.1954145606,"5.3":104.2626576644,"5.3100000000000005":116.7728719909,"5.32":122.2832693717,"5.33":120.2044276711,"5.34":109.8773896728,"5.3500000000000005":90.6257738556,"5.36":59.7371469379,"5.37":20.5977167721,"5.38":0.0,"5.39":0.0,"5.4":0.0,"5.41":0.0131770397,"5.42":39.7020034389,"5.43":73.0243044986,"5.44":164.0303685633,"5.45":260.7607563548,"5.46":381.2839626078,"5.47":516.7677843975,"5.48":607.9434010759,"5.49":700.9683577186,"5.5":756.3944808135,"5.51":849.9951878225,"5.5200000000000005":944.3889085716,"5.53":1038.6130389991,"5.54":1132.3283059977,"5.55":1224.6904982961,"5.5600000000000005":1314.5699019599,"5.57":1400.6884625775,"5.58":1481.8928859095,"5.59":1557.0705202893,"5.6000000000000005":1625.1532563808,"5.61":1684.5933216284,"5.62":1787.1144635359,"5.63":1869.9630036539,"5.64":1932.2882057255,"5.65":1973.8106273607,"5.66":1994.6661914447,"5.67":1995.3885023892,"5.68":1976.8831819532,"5.69":1940.3897123872,"5.7":1887.4301427526,"5.71":1819.7253636486,"5.72":1739.290527738,"5.73":1648.2793201139,"5.74":1590.5703941664,"5.75":1536.6497430861,"5.76":1475.5655550718,"5.7700000000000005":1401.9443692303,"5.78":1328.4576317637,"5.79":1255.6255193413,"5.8":1182.5844602268,"5.8100000000000005":1114.222175509,"5.82":1052.0240786877,"5.83":995.0674996684,"5.84":937.8409217923,"5.8500000000000005":880.0859828731,"5.86":832.7042519612,"5.87":791.745197207,"5.88":760.6218067176,"5.89":732.3745964665,"5.9":724.4708810084,"5.91":711.7876728042,"5.92":699.1676275995,"5.93":673.1256993515,"5.94":594.1629720717,"5.95":497.2428940462,"5.96":421.8857419688,"5.97":361.1415923961,"5.98":308.9282347156,"5.99":263.3637713313,"6.0":224.4451706673,"6.01":174.438657087,"6.0200000000000005":115.9505403957,"6.03":67.5390666335,"6.04":29.4245941681,"6.05":3.0867836825,"6.0600000000000005":4.3612451008,"6.07":3.695291368,"6.08":4.3249662821,"6.09":11.639189227,"6.1000000000000005":0.0,"6.11":0.0,"6.12":12.6054046407,"6.13":275.31489248,"6.140000000000001":302.1504404273,"6.15":318.2430940122,"6.16":311.091828154,"6.17":304.0976233193,"6.18":310.8089752724,"6.19":316.4155501999,"6.2":319.8238897175,"6.21":321.0450041723,"6.22":320.0183292431,"6.23":316.4318895409,"6.24":310.1732384573,"6.25":301.0973761832,"6.26":288.9222647467,"6.2700000000000005":273.3248498474,"6.28":253.9694956694,"6.29":230.5338159437,"6.3":202.7328990593,"6.3100000000000005":170.3396449251,"6.32":133.1927386124,"6.33":91.0511060781,"6.34":49.4238436493,"6.3500000000000005":86.4437455361,"6.36":106.8671306826,"6.37":154.4420271193,"6.38":210.2268231227,"6.390000000000001":266.2609884573,"6.4":319.8122794965,"6.41":371.6551384377,"6.42":426.8334139533,"6.43":492.2635348098,"6.44":552.8756802517,"6.45":593.4030401556,"6.46":631.9140773828,"6.47":663.8536885189,"6.48":687.9553912562,"6.49":699.7114459936,"6.5":712.9904831594,"6.51":728.352320011,"6.5200000000000005":742.3511610957,"6.53":754.4510248065,"6.54":764.742504224,"6.55":773.4205853685,"6.5600000000000005":780.8836437855,"6.57":787.5145811908,"6.58":793.5199022825,"6.59":798.5333488487,"6.6000000000000005":802.3518964063,"6.61":805.2163186587,"6.62":806.8955353732,"6.63":807.9272738659,"6.640000000000001":808.4713004397,"6.65":809.1998270945,"6.66":810.1256501238,"6.67":812.8632040012,"6.68":817.660818702,"6.69":824.5629828184,"6.7":833.3976767815,"6.71":843.2869986552,"6.72":854.1520222652,"6.73":865.2999879496,"6.74":876.5355502504,"6.75":886.9937138055,"6.76":896.2638185676,"6.7700000000000005":903.8852907225,"6.78":909.4174351903,"6.79":912.433058632,"6.8":912.4645537871,"6.8100000000000005":909.3337509413,"6.82":902.7718525186,"6.83":892.5709798631,"6.84":878.7579431968,"6.8500000000000005":861.1336163749,"6.86":839.6194147018,"6.87":814.3739117596,"6.88":785.9758034165,"6.890000000000001":751.4210865053,"6.9":716.7862454765,"6.91":684.4926832166,"6.92":668.0948661922,"6.93":636.2173029643,"6.94":600.1568782409,"6.95":547.1618809963,"6.96":482.5013565762,"6.97":421.2900488924,"6.98":361.1080821971,"6.99":299.6283788953,"7.0":239.4643992134,"7.01":171.7432613878,"7.0200000000000005":126.7614169598,"7.03":95.4638142896,"7.04":78.7012457254,"7.05":71.4623201675,"7.0600000000000005":69.4914870619,"7.07":72.0301965159,"7.08":79.6874489735,"7.09":92.4480559933,"7.1000000000000005":112.8818319393,"7.11":145.4850432747,"7.12":191.4972140615,"7.13":249.3958248801,"7.140000000000001":331.8089128422,"7.15":417.1749850963,"7.16":499.1425648522,"7.17":583.9821019337,"7.18":669.3266151849,"7.19":752.5808567503,"7.2":841.4415738718,"7.21":931.8469314685,"7.22":1025.3708942072,"7.23":1085.6943808582,"7.24":1133.429333105,"7.25":1155.8051728087,"7.26":1126.2297433418,"7.2700000000000005":1143.8349592255,"7.28":1169.1844980013,"7.29":1187.2375261862,"7.3":1197.5555197169,"7.3100000000000005":1199.5196254665,"7.32":1193.9660578268,"7.33":1181.0671957161,"7.34":1161.5669775388,"7.3500000000000005":1136.1161870266,"7.36":1105.2657803438,"7.37":1069.902825084,"7.38":1030.8585240382,"7.390000000000001":988.2985619806,"7.4":943.0544048681,"7.41":894.7964229911,"7.42":843.5678522858,"7.43":790.6892762476,"7.44":744.214403866,"7.45":701.3776732343,"7.46":685.724877071,"7.47":648.9263131679,"7.48":603.7480194921,"7.49":563.1775508425,"7.5":495.1376174166,"7.51":435.2317380673,"7.5200000000000005":393.5519748557,"7.53":368.4959198337,"7.54":330.1394472277,"7.55":305.8891051098,"7.5600000000000005":268.9777418271,"7.57":246.2363737047,"7.58":210.3002827595,"7.59":180.4105418561,"7.6000000000000005":150.5155649722,"7.61":122.9905250548,"7.62":92.7047188628,"7.63":61.7672197277,"7.640000000000001":38.0339020946,"7.65":15.8881583114,"7.66":21.8762424498,"7.67":42.1831573261,"7.68":70.248256807,"7.69":96.3975374483,"7.7":122.3665951643,"7.71":147.7842353257,"7.72":172.2498017986,"7.73":195.353487713,"7.74":216.6955047301,"7.75":235.9034604758,"7.76":252.647499535,"7.7700000000000005":266.6531123258,"7.78":90.592911054,"7.79":46.2182259685,"7.8":291.5255695272,"7.8100000000000005":292.2269097885,"7.82":290.908556137,"7.83":286.7311712073,"7.84":279.92763649,"7.8500000000000005":270.784604487,"7.86":259.6272228816,"7.87":246.7918660744,"7.88":232.4491048686,"7.890000000000001":217.2082348275,"7.9":201.5553889214,"7.91":185.8905788828,"7.92":185.479508625,"7.930000000000001":220.6527362604,"7.94":232.8884226323,"7.95":207.2901742441,"7.96":172.6559310086,"7.97":86.0156747342,"7.98":64.6678523267,"7.99":17.4302768891,"8.0":1.8276301833,"8.01":0.5048508941,"8.02":0.0,"8.03":0.0,"8.040000000000001":0.0,"8.05":0.0,"8.06":0.0,"8.07":0.0,"8.08":0.0,"8.09":0.0,"8.1":0.0,"8.11":0.0,"8.120000000000001":0.0792218375,"8.13":32.7447116534,"8.14":83.2423526495,"8.15":142.9249562507,"8.16":227.1441131943,"8.17":315.4422731344,"8.18":347.3783957085,"8.19":447.7731730017,"8.2":463.1025784455,"8.21":469.4249604464,"8.22":495.7091484483,"8.23":493.2465613912,"8.24":505.833380878,"8.25":511.3771199769,"8.26":511.2947106069,"8.27":502.9419166393,"8.28":486.9433799622,"8.290000000000001":466.7927740581,"8.3":444.2554448926,"8.31":416.8585026796,"8.32":388.1669999918,"8.33":363.422719432,"8.34":343.9054375197,"8.35":331.0713934545,"8.36":326.4816023926,"8.370000000000001":331.5665722787,"8.38":348.3603355759,"8.39":377.1849056974,"8.4":410.2215447233,"8.41":446.0635476036,"8.42":496.0165907871,"8.43":568.6840634176,"8.44":631.0930806096,"8.45":691.6958396925,"8.46":772.5963188335,"8.47":872.2710266711,"8.48":979.1522327891,"8.49":1090.8681283783,"8.5":1202.8638774296,"8.51":1316.1786225526,"8.52":1430.2162651259,"8.53":1543.6291977375,"8.540000000000001":1652.7471883496,"8.55":1758.0454141463,"8.56":1857.9888100531,"8.57":1949.633571239,"8.58":2031.4284452369,"8.59":2103.0122202379,"8.6":2156.8310114136,"8.61":2209.8846024609,"8.620000000000001":2252.4572498242,"8.63":2288.096895452,"8.64":2312.3940737216,"8.65":2333.5971323672,"8.66":2314.4547435241,"8.67":2293.8520211147,"8.68":2277.0450450057,"8.69":2235.0058063998,"8.700000000000001":2177.9010979301,"8.71":2139.4584980988,"8.72":2053.7372619391,"8.73":1979.5309224743,"8.74":1903.5221198284,"8.75":1822.1605814728,"8.76":1748.4468486684,"8.77":1670.7133852485,"8.78":1591.100617739,"8.790000000000001":1512.0839660175,"8.8":1434.4888399408,"8.81":1359.5920848433,"8.82":1285.6858710691,"8.83":1213.3829710007,"8.84":1143.6191834513,"8.85":1072.8495557767,"8.86":1005.0652091679,"8.870000000000001":938.436736451,"8.88":877.3169459399,"8.89":830.8196114821,"8.9":800.4848068708,"8.91":749.0024634267,"8.92":698.641952285,"8.93":636.0342499321,"8.94":564.7515926039,"8.950000000000001":504.0069610692,"8.96":443.0659655418,"8.97":383.8558893926,"8.98":324.4782788134,"8.99":265.9153487832,"9.0":204.8322449332,"9.01":155.9764794969,"9.02":115.2571654304,"9.03":96.3896915284,"9.040000000000001":68.5147472165,"9.05":114.7947738906,"9.06":164.0226962049,"9.07":208.1827932261,"9.08":247.1054879395,"9.09":280.9955070674,"9.1":310.0131951498,"9.11":334.3880205411,"9.120000000000001":354.4182860943,"9.13":370.4612671711,"9.14":382.9191176719,"9.15":392.2224875979,"9.16":398.8130554224,"9.17":403.1260103705,"9.18":405.5732293652,"9.19":406.5282864093,"9.200000000000001":406.3135325252,"9.21":405.1735701658,"9.22":403.3042157535,"9.23":400.8918667319,"9.24":398.0047165218,"9.25":394.6485073622,"9.26":390.7748109844,"9.27":386.2919798141,"9.28":381.0780872265,"9.290000000000001":374.9950732804,"9.3":367.9032529708,"9.31":359.6753294121,"9.32":350.2090857041,"9.33":339.4380054163,"9.34":327.3391875534,"9.35":313.9380729462,"9.36":299.3096760961,"9.370000000000001":283.5762123807,"9.38":266.9012112124,"9.39":249.4804060864,"9.4":231.4999632443,"9.41":213.1970323176,"9.42":194.7963131395,"9.43":176.4900306074,"9.44":158.430526795,"9.450000000000001":140.7166103337,"9.46":123.3817335636,"9.47":106.3848719729,"9.48":89.6046296727,"9.49":72.8317928403,"9.5":53.8583555394,"9.51":33.4223420356,"9.52":24.9093027815,"9.53":19.2886048979,"9.540000000000001":26.1931079345,"9.55":55.7226818652,"9.56":85.7192685335,"9.57":129.4325183579,"9.58":171.4790374539,"9.59":219.8373970698,"9.6":277.0319487536,"9.61":339.0926382483,"9.620000000000001":388.8884553563,"9.63":461.387602374,"9.64":513.3384306562,"9.65":552.8168573219,"9.66":621.4141905041,"9.67":692.318446296,"9.68":756.2511156286,"9.69":817.4749845924,"9.700000000000001":861.4265753266,"9.71":891.8379360889,"9.72":843.1051878294,"9.73":852.6243773076,"9.74":879.1972869025,"9.75":908.3063139257,"9.76":938.6912236624,"9.77":973.5497122366,"9.78":1001.5820605966,"9.790000000000001":1020.3006031273,"9.8":1034.5699297329,"9.81":1060.7322351909,"9.82":1107.0997740606,"9.83":1098.3508068436,"9.84":1101.7230083771,"9.85":1164.5240165577,"9.86":1144.1492944206,"9.870000000000001":1116.0487940529,"9.88":1082.8373584826,"9.89":1050.8209894855,"9.9":1016.3749418372,"9.91":974.6278715927,"9.92":929.9448147342,"9.93":877.7791343188,"9.94":832.9766571389,"9.950000000000001":793.4195270717,"9.96":760.7269574756,"9.97":727.9190498436,"9.98":686.536132405,"9.99":644.2609465626,"10.0":596.9899235479,"10.01":546.9418147191,"10.02":496.5487017058,"10.03":451.8814099538,"10.040000000000001":411.9061439734,"10.05":373.2248244625,"10.06":346.0694485609,"10.07":324.6535016433,"10.08":309.3912608969,"10.09":301.0305590576,"10.1":299.0975474836,"10.11":303.0380992669,"10.120000000000001":312.2007436703,"10.13":325.7268063785,"10.14":343.1690821125,"10.15":364.0442234501,"10.16":386.8268888632,"10.17":412.9027697174,"10.18":439.8332038881,"10.19":469.1274824011,"10.200000000000001":502.3124175229,"10.21":540.3155260729,"10.22":575.6612417993,"10.23":634.7826627463,"10.24":665.4859700973,"10.25":696.0916127594,"10.26":726.1021769135,"10.27":755.0468820251,"10.28":782.5671899789,"10.290000000000001":801.9262540814,"10.3":791.8299606646,"10.31":808.0079827572,"10.32":822.8263281706,"10.33":835.6320297301,"10.34":845.4301753606,"10.35":852.1435457823,"10.36":855.5182353509,"10.370000000000001":855.7217650996,"10.38":854.1498776513,"10.39":848.5592661262,"10.4":842.1602626313,"10.41":835.3503922477,"10.42":825.596061522,"10.43":803.9486646279,"10.44":779.4168932681,"10.450000000000001":750.0193405316,"10.46":711.2869564953,"10.47":674.0672759124,"10.48":637.2745367741,"10.49":605.5274666416,"10.5":576.0141177804,"10.51":548.2745165735,"10.52":517.2802073279,"10.53":486.9034426546,"10.540000000000001":456.2841416413,"10.55":427.6141666712,"10.56":403.7512888418,"10.57":384.4031825464,"10.58":369.8360765022,"10.59":360.3624130887,"10.6":355.9047578974,"10.61":357.3449197827,"10.620000000000001":363.2713430428,"10.63":373.5341041112,"10.64":387.5798296377,"10.65":404.4957788731,"10.66":423.1284854372,"10.67":443.4450877613,"10.68":463.8785436884,"10.69":481.9407685609,"10.700000000000001":499.5768733571,"10.71":516.2945112716,"10.72":533.1203129065,"10.73":550.3312059119,"10.74":568.6485551277,"10.75":587.6234384251,"10.76":608.2186115063,"10.77":630.3912894574,"10.78":651.6995048037,"10.790000000000001":664.2565600138,"10.8":671.6473229084,"10.81":676.790636479,"10.82":679.4723041185,"10.83":679.5141928404,"10.84":676.8406195244,"10.85":671.4123222561,"10.86":663.2415399987,"10.870000000000001":643.7361540842,"10.88":619.0217045108,"10.89":593.0856674605,"10.9":566.0562956784,"10.91":537.6972628865,"10.92":508.8189205852,"10.93":479.408770203,"10.94":448.8486304582,"10.950000000000001":416.0476485436,"10.96":384.8529078347,"10.97":355.8350294282,"10.98":328.5717006416,"10.99":301.0172951078,"11.0":262.0412701847,"11.01":244.9990631493,"11.02":219.9637549196,"11.03":196.6307831214,"11.040000000000001":178.1444076341,"11.05":168.6330820086,"11.06":154.7251670601,"11.07":177.1574324429,"11.08":198.0215049585,"11.09":189.7483182741,"11.1":182.0027926516,"11.11":165.9262550251,"11.120000000000001":164.1675014012,"11.13":180.72751855,"11.14":195.0237560663,"11.15":212.4574811831,"11.16":246.9930242098,"11.17":267.6232620436,"11.18":297.4606572778,"11.19":330.9462761889,"11.200000000000001":360.8559979188,"11.21":398.0855047866,"11.22":435.8470866109,"11.23":472.0287820169,"11.24":505.3649522066,"11.25":536.5145884059,"11.26":567.2507472147,"11.27":598.7353250281,"11.28":631.0936295384,"11.290000000000001":658.5427570349,"11.3":675.530831321,"11.31":690.3341509571,"11.32":702.6062600123,"11.33":712.3655730983,"11.34":719.6040149935,"11.35":724.202636849,"11.36":726.3196723922,"11.370000000000001":726.1296527545,"11.38":723.839607552,"11.39":719.7062912558,"11.4":714.0716830949,"11.41":707.3361286992,"11.42":699.95357322,"11.43":692.4249323591,"11.44":685.2897767304,"11.450000000000001":679.1542055104,"11.46":674.5766405716,"11.47":672.161078666,"11.48":672.4506079582,"11.49":676.0891623059,"11.5":683.6010769864,"11.51":695.3843867902,"11.52":711.7645120535,"11.53":732.8594565652,"11.540000000000001":758.9671858659,"11.55":790.3599580207,"11.56":824.4378107769,"11.57":868.3926607731,"11.58":904.2264204089,"11.59":958.1759277081,"11.6":1018.6978099977,"11.61":1086.3604286357,"11.620000000000001":1155.1925950647,"11.63":1225.3475676697,"11.64":1299.9201178079,"11.65":1353.4974139462,"11.66":1437.2956964805,"11.67":1519.9321539936,"11.68":1568.4255079762,"11.69":1651.2533319643,"11.700000000000001":1709.3309892181,"11.71":1746.0576585384,"11.72":1799.6845058602,"11.73":1820.0524252095,"11.74":1792.4789064486,"11.75":1807.0437562535,"11.76":1814.6737743272,"11.77":1802.081334944,"11.78":1789.5928716147,"11.790000000000001":1767.3817432377,"11.8":1732.2824524486,"11.81":1693.6290147548,"11.82":1639.2723658662,"11.83":1579.5086988577,"11.84":1513.3787971661,"11.85":1438.2424366763,"11.86":1362.6988072669,"11.870000000000001":1285.1921027863,"11.88":1201.9969085833,"11.89":1112.1502811885,"11.9":1021.2209130779,"11.91":930.0811090813,"11.92":839.5422785887,"11.93":792.7604003786,"11.94":714.6596602263,"11.950000000000001":639.2395052541,"11.96":576.2592855535,"11.97":536.2288901377,"11.98":429.2907442991,"11.99":341.1965581075,"12.0":275.9625744165,"12.01":297.9674022916,"12.02":261.8753237404,"12.030000000000001":226.5918806645,"12.040000000000001":175.5553796634,"12.05":253.3481341239,"12.06":195.5730704541,"12.07":218.2661851331,"12.08":253.949190235,"12.09":284.3575951988,"12.1":309.6903621201,"12.11":329.8414667977,"12.120000000000001":345.1368200184,"12.13":355.8450621801,"12.14":362.1294161046,"12.15":364.1377270236,"12.16":362.0190279933,"12.17":355.9348922871,"12.18":346.0683541437,"12.19":332.6305416703,"12.200000000000001":315.8649531773,"12.21":296.0491680677,"12.22":273.4937358702,"12.23":248.5382261475,"12.24":221.5445337704,"12.25":192.8877400605,"12.26":162.9449326999,"12.27":132.082589332,"12.280000000000001":100.6430428682,"12.290000000000001":68.9249530664,"12.3":33.9933452509,"12.31":8.5473483826,"12.32":0.0,"12.33":0.0,"12.34":0.0,"12.35":0.0,"12.36":0.0,"12.370000000000001":12.925832024,"12.38":35.2801836035,"12.39":49.8976426631,"12.4":76.0307265154,"12.41":117.2379795363,"12.42":176.0292139292,"12.43":228.8247169869,"12.44":285.2726289796,"12.450000000000001":342.5816245371,"12.46":399.2768347456,"12.47":453.0698878481,"12.48":507.8566506026,"12.49":561.0128052605,"12.5":618.1765789366,"12.51":665.67061299,"12.52":702.6963847736,"12.530000000000001":738.9577121846,"12.540000000000001":803.317919199,"12.55":838.5929611403,"12.56":863.6722434633,"12.57":865.7386147552,"12.58":875.4088753549,"12.59":882.5969008804,"12.6":898.9565571337,"12.61":910.1769022982,"12.620000000000001":915.6478522386,"12.63":915.3042797059,"12.64":909.1728348391,"12.65":897.4994280099,"12.66":880.3785845366,"12.67":858.373118279,"12.68":832.3460235249,"12.69":805.6480791228,"12.700000000000001":774.8019876597,"12.71":746.664023457,"12.72":719.5279134415,"12.73":691.477177076,"12.74":661.8985533692,"12.75":598.2120237589,"12.76":521.1534368082,"12.77":487.9992474964,"12.780000000000001":462.3086898772,"12.790000000000001":419.4357030226,"12.8":376.6955114372,"12.81":334.407855555,"12.82":293.2591188284,"12.83":248.0040399509,"12.84":214.4113071646,"12.85":181.7311748656,"12.86":157.4505408503,"12.870000000000001":139.8385248144,"12.88":122.7960956199,"12.89":113.9458098894,"12.9":102.027435436,"12.91":93.6807605796,"12.92":89.8242490331,"12.93":90.3496817851,"12.94":95.3106831973,"12.950000000000001":104.7586366231,"12.96":118.5904929139,"12.97":137.0308648764,"12.98":160.8778355356,"12.99":198.2485719491,"13.0":228.3885006774,"13.01":260.0293080636,"13.02":292.6758287975,"13.030000000000001":325.6871836285,"13.040000000000001":358.6952562087,"13.05":391.80172365,"13.06":422.740343178,"13.07":453.3381684218,"13.08":485.9619652031,"13.09":514.5275340928,"13.1":542.7239731102,"13.11":570.2197100177,"13.120000000000001":596.9019773857,"13.13":622.6098550706,"13.14":647.1893914104,"13.15":662.1078533214,"13.16":673.9645686342,"13.17":684.9823116654,"13.18":695.4052156676,"13.19":705.3741057156,"13.200000000000001":715.0368172203,"13.21":724.5790752072,"13.22":734.1545475122,"13.23":743.9137069087,"13.24":754.1549875313,"13.25":765.2807114772,"13.26":777.1077536058,"13.27":818.5760972206,"13.280000000000001":833.9815208638,"13.290000000000001":850.6240170944,"13.3":860.9178810768,"13.31":859.4448677424,"13.32":852.74911997,"13.33":857.9001326694,"13.34":873.5198476427,"13.35":890.3523810033,"13.36":906.9126021941,"13.370000000000001":922.5762052406,"13.38":936.9487352123,"13.39":949.0236927463,"13.4":942.8658077082,"13.41":922.9484025875,"13.42":917.9094315145,"13.43":911.5855858535,"13.44":904.4529117136,"13.450000000000001":898.5529645156,"13.46":893.1033368376,"13.47":887.610018782,"13.48":880.8131120883,"13.49":880.6006368336,"13.5":887.3574137797,"13.51":864.4915340921,"13.52":841.126424725,"13.530000000000001":822.0264219295,"13.540000000000001":807.1642304089,"13.55":788.0628910308,"13.56":767.7765132301,"13.57":753.0255271058,"13.58":731.4784932237,"13.59":709.4143028185,"13.6":666.6498989652,"13.61":624.5942597685,"13.620000000000001":591.1320847583,"13.63":563.3468555538,"13.64":538.7648806345,"13.65":516.8284536714,"13.66":496.2551469981,"13.67":476.3038314656,"13.68":457.3035502523,"13.69":441.361082618,"13.700000000000001":427.6758163374,"13.71":416.406388498,"13.72":407.6074580753,"13.73":401.1609749197,"13.74":396.7877052753,"13.75":394.6386525278,"13.76":395.2790585439,"13.77":396.7286023974,"13.780000000000001":398.8371858176,"13.790000000000001":401.1987131098,"13.8":403.3357662943,"13.81":404.8612825392,"13.82":405.5184655397,"13.83":405.1470156253,"13.84":403.678359502,"13.85":401.1504142929,"13.86":397.6978137369,"13.870000000000001":393.5581503111,"13.88":389.0613795967,"13.89":384.6326700998,"13.9":380.8089064893,"13.91":378.2075664175,"13.92":377.4434737373,"13.93":379.058523317,"13.94":383.5620526379,"13.950000000000001":392.0588732406,"13.96":404.3946938866,"13.97":420.8904832663,"13.98":442.8835647033,"13.99":469.8503228116,"14.0":499.0405571575,"14.01":529.8480183731,"14.02":564.8547506377,"14.030000000000001":605.1505908059,"14.040000000000001":652.6823895324,"14.05":684.9975354464,"14.06":718.7666395575,"14.07":754.9268985321,"14.08":793.4445197176,"14.09":861.7668372537,"14.1":877.1235596176,"14.11":906.8124973592,"14.120000000000001":946.19331109,"14.13":989.6703436899,"14.14":1031.5391936204,"14.15":1072.1228290783,"14.16":1108.9166918981,"14.17":1140.8719828245,"14.18":1168.0735957086,"14.19":1190.4232774154,"14.200000000000001":1207.685070345,"14.21":1218.7416517818,"14.22":1223.3909172569,"14.23":1221.522791045,"14.24":1213.2608468351,"14.25":1198.7770698016,"14.26":1178.3643968419,"14.27":1152.4759168504,"14.280000000000001":1121.2979020455,"14.290000000000001":1085.8136345683,"14.3":1046.7761949156,"14.31":1004.6407425316,"14.32":960.6889887343,"14.33":915.8656400419,"14.34":876.7280600769,"14.35":861.2186684968,"14.36":839.1187522384,"14.370000000000001":802.348251945,"14.38":767.35083624,"14.39":731.9504267306,"14.4":695.8085757347,"14.41":636.0493994702,"14.42":589.7546164741,"14.43":552.2213399868,"14.44":520.9293630829,"14.450000000000001":494.3722651408,"14.46":471.4381363267,"14.47":449.8169312036,"14.48":430.9656519725,"14.49":414.4971568094,"14.5":400.0326243837,"14.51":386.239309222,"14.52":373.6572525861,"14.530000000000001":362.0434310152,"14.540000000000001":351.0955479318,"14.55":340.2505116982,"14.56":329.5282601998,"14.57":319.1915411552,"14.58":309.3566462207,"14.59":300.3522769267,"14.6":291.43620342,"14.61":283.6038972805,"14.620000000000001":270.2163731524,"14.63":267.01377281,"14.64":259.1936445256,"14.65":245.9755203286,"14.66":246.9110891745,"14.67":242.1840270713,"14.68":238.981910836,"14.69":228.2406318277,"14.700000000000001":230.5024185487,"14.71":246.1487131271,"14.72":248.4293063433,"14.73":258.6963741561,"14.74":277.5664160729,"14.75":294.6531949728,"14.76":304.0674872857,"14.77":328.1239223827,"14.780000000000001":348.5886487952,"14.790000000000001":369.9809249329,"14.8":405.5135875377,"14.81":431.7939779085,"14.82":458.1186871297,"14.83":495.8436069447,"14.84":551.8013759753,"14.85":583.6497474289,"14.86":643.8864592078,"14.870000000000001":681.3668534567,"14.88":705.624939215,"14.89":728.0556201211,"14.9":751.2509759933,"14.91":772.6464373265,"14.92":789.6308442246,"14.93":804.1084856448,"14.94":815.1288712732,"14.950000000000001":823.0531822754,"14.96":827.9365648676,"14.97":827.352678657,"14.98":827.3647728966,"14.99":825.6185575809,"15.0":821.6247213155,"15.01":814.9751750708,"15.02":806.9932024298,"15.030000000000001":797.9113469276,"15.040000000000001":787.692493124,"15.05":776.821461513,"15.06":765.1583208437,"15.07":752.9146696926,"15.08":739.7753302533,"15.09":726.3704168613,"15.1":711.7563922561,"15.11":697.3464955006,"15.120000000000001":686.7402175383,"15.13":678.7520909426,"15.14":672.1803675136,"15.15":655.3380156075,"15.16":637.3061109499,"15.17":625.332384473,"15.18":618.3535518804,"15.19":613.7485969927,"15.200000000000001":612.1468615072,"15.21":612.7823769179,"15.22":614.2715405674,"15.23":617.4698080459,"15.24":622.0112271663,"15.25":627.5656012447,"15.26":633.8192294317,"15.27":640.4668417558,"15.280000000000001":647.2066568594,"15.290000000000001":653.7498704667,"15.3":659.8384437811,"15.31":665.2612947509,"15.32":669.8465175671,"15.33":673.5385482225,"15.34":676.3300791427,"15.35":678.2852835281,"15.36":679.5317121563,"15.370000000000001":680.2485317646,"15.38":680.6524204954,"15.39":680.9819656357,"15.4":681.4820951543,"15.41":682.3893539037,"15.42":683.9190769336,"15.43":686.2649120115,"15.44":689.5914540664,"15.450000000000001":693.962827828,"15.46":698.2061087626,"15.47":701.911260156,"15.48":706.0382000106,"15.49":682.5332286571,"15.5":687.7708340602,"15.51":693.176461175,"15.52":698.520735916,"15.530000000000001":703.4840895125,"15.540000000000001":708.0698571073,"15.55":712.0227082074,"15.56":715.043682801,"15.57":716.8558352186,"15.58":717.4311491011,"15.59":716.5078941401,"15.6":713.8704215449,"15.610000000000001":709.3671818729,"15.620000000000001":703.0044563871,"15.63":694.5002822594,"15.64":683.9593041121,"15.65":671.3480618459,"15.66":656.6859467806,"15.67":632.8954073878,"15.68":603.7565492551,"15.69":573.7785134209,"15.700000000000001":543.3183080082,"15.71":512.5039127651,"15.72":480.9478740877,"15.73":446.1933403912,"15.74":412.671897109,"15.75":377.3379136115,"15.76":341.5805616949,"15.77":305.2462670134,"15.780000000000001":269.5812416104,"15.790000000000001":234.7997403801,"15.8":201.6493317483,"15.81":167.3033179522,"15.82":133.3898831675,"15.83":110.091983129,"15.84":91.7130165995,"15.85":77.5207161923,"15.860000000000001":67.6480580985,"15.870000000000001":61.362355156,"15.88":57.8044627786,"15.89":56.432200897,"15.9":56.9909293107,"15.91":59.4871393724,"15.92":64.154836086,"15.93":71.417934087,"15.94":81.8587787797,"15.950000000000001":95.5313355065,"15.96":112.1663534676,"15.97":131.8431187305,"15.98":156.9886857667,"15.99":190.1934223676,"16.0":217.6724546825,"16.01":245.8620159085,"16.02":274.8120710367,"16.03":304.2188679688,"16.04":334.0748100302,"16.05":364.841814206,"16.06":396.2835749762,"16.07":427.5091436956,"16.080000000000002":459.3492865681,"16.09":492.4802459328,"16.1":524.9105506096,"16.11":560.2806992284,"16.12":599.9006301056,"16.13":641.8851903882,"16.14":672.243347674,"16.15":732.6095861988,"16.16":766.0332036771,"16.17":800.1208024491,"16.18":834.4525797055,"16.19":868.6616267886,"16.2":875.3631193912,"16.21":890.3157673083,"16.22":915.8041752334,"16.23":942.5376104733,"16.240000000000002":967.7255025295,"16.25":990.1602745169,"16.26":1009.3837369511,"16.27":1025.2253326696,"16.28":1037.5689705325,"16.29":1045.7767280664,"16.3":1049.5707237051,"16.31":1048.5452878467,"16.32":1042.9580902219,"16.330000000000002":1032.930505148,"16.34":1019.0242492623,"16.35":1001.4855188897,"16.36":980.4719998648,"16.37":956.3339296407,"16.38":930.4064375167,"16.39":905.4710521258,"16.4":883.5456121288,"16.41":867.9293834201,"16.42":857.1213839647,"16.43":798.8435339824,"16.44":769.4782136188,"16.45":741.1578461843,"16.46":713.8083804514,"16.47":688.1446956705,"16.48":663.9663117237,"16.490000000000002":639.1417552819,"16.5":607.3929028868,"16.51":580.7343464221,"16.52":558.2448009823,"16.53":539.4421362255,"16.54":523.8369926031,"16.55":511.0442400942,"16.56":500.748673401,"16.57":492.5926606042,"16.580000000000002":486.2318783265,"16.59":481.3502125704,"16.6":477.9526107657,"16.61":475.788591838,"16.62":474.54771912,"16.63":474.1381508842,"16.64":474.5785290417,"16.65":475.7848050326,"16.66":478.5407694649,"16.67":483.4922475542,"16.68":489.5442098092,"16.69":496.8791658871,"16.7":506.6874959244,"16.71":519.8418457123,"16.72":536.6103438886,"16.73":556.3039217918,"16.740000000000002":579.4045257303,"16.75":608.989444373,"16.76":648.2505155142,"16.77":685.9740957606,"16.78":710.1279153563,"16.79":736.332276315,"16.8":763.3650881758,"16.81":791.8777679836,"16.82":821.6920790564,"16.830000000000002":852.5068641792,"16.84":866.6580644853,"16.85":883.3771820629,"16.86":907.8414408873,"16.87":933.7876941106,"16.88":958.5403843178,"16.89":981.3152472185,"16.9":1000.8698425976,"16.91":1016.9346937298,"16.92":1028.9938749285,"16.93":1036.9145375566,"16.94":1040.9565396975,"16.95":1041.3497392201,"16.96":1037.3659029644,"16.97":1029.7529151678,"16.98":1016.0931764668,"16.990000000000002":1001.4231262969,"17.0":984.105203,"17.01":964.8818406732,"17.02":943.7320115048,"17.03":921.0495455634,"17.04":898.0296578726,"17.05":875.9384320127,"17.06":857.5155334738,"17.07":842.2324118445,"17.080000000000002":829.8280418197,"17.09":820.3045941734,"17.1":807.7708613049,"17.11":792.5762903189,"17.12":779.2332201805,"17.13":767.8768416548,"17.14":758.2615464837,"17.150000000000002":750.4618343797,"17.16":744.3490115707,"17.17":739.7131847751,"17.18":736.2481016954,"17.19":733.8318174368,"17.2":732.1955055634,"17.21":730.7744338526,"17.22":729.5431270737,"17.23":728.3052732351,"17.240000000000002":726.3623837002,"17.25":752.2661953454,"17.26":749.5329487247,"17.27":745.7755522371,"17.28":740.8604344916,"17.29":734.8383773154,"17.3":727.6672810358,"17.31":719.3568096515,"17.32":709.9710186439,"17.330000000000002":699.6103046438,"17.34":683.5118912669,"17.35":661.1145087389,"17.36":638.9411579323,"17.37":617.9269679731,"17.38":598.2370453608,"17.39":578.8357110289,"17.400000000000002":560.3730836092,"17.41":542.97642476,"17.42":526.6306922772,"17.43":511.294775899,"17.44":496.8995045829,"17.45":483.3949850769,"17.46":470.8608838954,"17.47":459.4788156202,"17.48":449.1896647187,"17.490000000000002":438.7205536664,"17.5":428.4028140715,"17.51":418.4036115892,"17.52":408.6085444695,"17.53":399.0504413461,"17.54":389.876936805,"17.55":379.6487548638,"17.56":368.6750424017,"17.57":357.51849185,"17.580000000000002":345.9249659614,"17.59":333.7210868071,"17.6":321.1575393111,"17.61":307.4741747839,"17.62":293.4608378123,"17.63":279.1397395892,"17.64":264.5970791562,"17.650000000000002":249.6770192173,"17.66":234.9271234818,"17.67":220.4996222553,"17.68":205.5814296983,"17.69":188.1581814289,"17.7":176.3895016925,"17.71":165.1998330618,"17.72":155.8636368737,"17.73":148.9473544091,"17.740000000000002":144.3878993663,"17.75":142.0799846959,"17.76":141.9423917154,"17.77":143.9733910567,"17.78":148.2182534253,"17.79":154.8379115735,"17.8":163.7347949682,"17.81":173.1373523397,"17.82":183.6737049673,"17.830000000000002":196.2481482843,"17.84":215.1523497717,"17.85":231.1796913244,"17.86":248.7305220838,"17.87":267.9580482354,"17.88":288.9936920198,"17.89":311.8567078183,"17.900000000000002":336.5386534782,"17.91":362.937168896,"17.92":390.5689421864,"17.93":418.7971622334,"17.94":448.2851230253,"17.95":479.8596023045,"17.96":511.5883982759,"17.97":545.7867329076,"17.98":584.072384473,"17.990000000000002":628.0176226789,"18.0":681.18982525,"18.01":719.7373452376,"18.02":751.8807678918,"18.03":784.1465391729,"18.04":815.2927492768,"18.05":841.7816022189,"18.06":865.8644528109,"18.07":869.3474676591,"18.080000000000002":881.3190763654,"18.09":898.2059999662,"18.1":914.5149993611,"18.11":933.4663812683,"18.12":950.1337668244,"18.13":963.1389462121,"18.14":972.4275543635,"18.150000000000002":978.0930962273,"18.16":979.8227443868,"18.17":977.5696270981,"18.18":971.4048501152,"18.19":961.6865498013,"18.2":948.5675641083,"18.21":932.2238360751,"18.22":912.9832156971,"18.23":891.4190714234,"18.240000000000002":869.2469014061,"18.25":853.3077682253,"18.26":847.995010546,"18.27":830.4165301084,"18.28":809.5055180771,"18.29":788.6821715707,"18.3":764.4228149129,"18.31":740.7055016339,"18.32":718.028498411,"18.330000000000002":696.0280813886,"18.34":652.3772383087,"18.35":613.8658764272,"18.36":582.8574207618,"18.37":556.8888029487,"18.38":534.818310803,"18.39":516.117359229,"18.400000000000002":500.5933535787,"18.41":487.8712594407,"18.42":477.7633265932,"18.43":469.980781723,"18.44":463.8018763041,"18.45":460.1889705683,"18.46":459.2682214791,"18.47":460.6664807026,"18.48":464.7525646786,"18.490000000000002":471.4633249203,"18.5":479.9994706102,"18.51":490.3236351204,"18.52":502.7432480855,"18.53":517.2092878601,"18.54":533.6997290452,"18.55":552.2527168191,"18.56":572.9864258932,"18.57":596.1092178421,"18.580000000000002":621.8233963344,"18.59":644.991421733,"18.6":663.1535225408,"18.61":681.3650501431,"18.62":699.3502607351,"18.63":716.9323796139,"18.64":733.7110200804,"18.650000000000002":749.4056804216,"18.66":763.7514661107,"18.67":776.5041848624,"18.68":787.4463421405,"18.69":796.3951796883,"18.7":803.1846553729,"18.71":807.7607779856,"18.72":810.1637169931,"18.73":810.3065558156,"18.740000000000002":808.2415880488,"18.75":803.9207115368,"18.76":797.5700466058,"18.77":789.5220090722,"18.78":780.0972857117,"18.79":769.4376367734,"18.8":757.8287715654,"18.81":745.5731003626,"18.82":732.9135181685,"18.830000000000002":720.2807571344,"18.84":707.9095756855,"18.85":696.0640853444,"18.86":684.9762968813,"18.87":674.8404399764,"18.88":665.7914520996,"18.89":657.9441844321,"18.900000000000002":651.3646031404,"18.91":645.9763558571,"18.92":641.7701728784,"18.93":637.4373192183,"18.94":634.8061024919,"18.95":633.6385010311,"18.96":633.66871024,"18.97":634.6253513452,"18.98":636.2375527868,"18.990000000000002":638.1311119117,"19.0":639.7178144423,"19.01":641.0084538901,"19.02":642.1716619679,"19.03":643.0694351017,"19.04":643.6582725584,"19.05":643.8971225501,"19.06":643.772311545,"19.07":643.294200777,"19.080000000000002":642.5948047052,"19.09":640.950289296,"19.1":638.3492909231,"19.11":635.5127707397,"19.12":632.6869573202,"19.13":629.802796608,"19.14":626.8536552292,"19.150000000000002":624.0613824297,"19.16":621.5549710216,"19.17":619.1093737751,"19.18":616.8409928209,"19.19":614.7169153452,"19.2":612.6685107782,"19.21":610.6089178463,"19.22":608.4369553484,"19.23":606.0465993999,"19.240000000000002":603.3349776269,"19.25":600.2088572376,"19.26":596.5939844194,"19.27":592.3984508736,"19.28":587.5114858207,"19.29":582.1743292837,"19.3":576.3263156311,"19.31":569.8146413781,"19.32":562.9143264769,"19.330000000000002":555.9191116728,"19.34":548.7294902842,"19.35":541.3715556801,"19.36":534.1952723761,"19.37":527.4457015497,"19.38":521.1308608571,"19.39":515.1634075279,"19.400000000000002":509.8638121695,"19.41":505.3894206683,"19.42":501.846838126,"19.43":499.234075153,"19.44":497.5916008991,"19.45":496.8822604689,"19.46":497.1671567228,"19.47":498.464249269,"19.48":500.7466628927,"19.490000000000002":503.9846534332,"19.5":508.1438485939,"19.51":513.1980337268,"19.52":519.1243062221,"19.53":525.9252842235,"19.54":533.6271209566,"19.55":542.2750653245,"19.56":551.9423819294,"19.57":562.7509500833,"19.580000000000002":574.8708885562,"19.59":588.5491101222,"19.6":604.2122173173,"19.61":622.058994445,"19.62":638.1460704239,"19.63":651.883409244,"19.64":693.127992286,"19.650000000000002":711.5454427988,"19.66":728.9210794652,"19.67":747.4028324195,"19.68":766.8716851032,"19.69":787.168864201,"19.7":808.1272818968,"19.71":829.5429415613,"19.72":850.3424176652,"19.73":868.1927845417,"19.740000000000002":870.204694277,"19.75":875.5759727426,"19.76":886.1414236602,"19.77":898.4798602727,"19.78":910.3896630279,"19.79":920.8240741579,"19.8":929.3143036341,"19.81":935.7942484859,"19.82":942.3657837775,"19.830000000000002":946.0330104771,"19.84":946.6772964906,"19.85":944.3445860507,"19.86":939.1260451615,"19.87":931.1363575763,"19.88":920.5478761872,"19.89":907.5850116314,"19.900000000000002":892.6412744133,"19.91":876.5917888533,"19.92":860.536685967,"19.93":851.1318167748,"19.94":845.424562959,"19.95":829.7049120161,"19.96":813.8398810074,"19.97":797.3008583704,"19.98":780.9710564485,"19.990000000000002":765.1840762168},"6":{"1.5":20.1929772129,"1.51":20.2180979027,"1.52":20.2475274583,"1.53":20.2716103053,"1.54":20.2872307857,"1.55":20.2984231754,"1.56":20.2971890169,"1.57":20.2779832238,"1.58":20.2362820072,"1.59":20.1563290898,"1.6":20.0278652075,"1.61":19.8512884896,"1.62":19.5703267524,"1.6300000000000001":19.0636485608,"1.6400000000000001":18.4562272108,"1.6500000000000001":17.8589902887,"1.6600000000000001":17.2579548614,"1.67":16.5093491826,"1.68":15.6051774535,"1.69":14.6188180919,"1.7":13.4931872904,"1.71":12.2153915399,"1.72":10.6661656302,"1.73":9.2734047654,"1.74":8.4804461579,"1.75":7.6753584684,"1.76":6.8417619909,"1.77":5.9643350144,"1.78":5.0187789894,"1.79":4.2563778523,"1.8":5.8455160898,"1.81":8.4572220441,"1.82":9.3793116253,"1.83":8.2057561538,"1.84":6.6668111188,"1.85":5.4195669836,"1.86":4.9633674442,"1.87":4.6459859334,"1.8800000000000001":4.42012739,"1.8900000000000001":4.2448285243,"1.9000000000000001":4.0992653222,"1.9100000000000001":3.9733656236,"1.92":3.8645606796,"1.93":3.7666200753,"1.94":3.6773791185,"1.95":3.5951052391,"1.96":3.5173413496,"1.97":3.4440778931,"1.98":3.3744954806,"1.99":3.3085158118,"2.0":3.2467384496,"2.0100000000000002":3.1906049085,"2.02":3.1424443166,"2.0300000000000002":3.1151247791,"2.04":3.1186379771,"2.05":3.1511621366,"2.06":3.2228354254,"2.07":3.3519103457,"2.08":3.5862428922,"2.09":3.9820414352,"2.1":5.411560021,"2.11":7.0939313436,"2.12":8.715057739,"2.13":10.2592878285,"2.14":11.7978662478,"2.15":13.2863948305,"2.16":14.7813855272,"2.17":15.9006902383,"2.18":16.9904847847,"2.19":17.4843499429,"2.2":17.2596025512,"2.21":11.5673506981,"2.22":11.9852780556,"2.23":12.2954935268,"2.24":12.5591373662,"2.25":12.7705627596,"2.2600000000000002":12.9214269734,"2.27":15.9056432038,"2.2800000000000002":19.0122532571,"2.29":21.0063462049,"2.3000000000000003":22.7635283143,"2.31":23.7068702098,"2.32":23.4930537355,"2.33":24.4147709843,"2.34":22.7953972301,"2.35":25.1454512679,"2.36":22.6769698079,"2.37":25.1015814996,"2.38":25.3144013048,"2.39":23.665883897,"2.4":22.5894070561,"2.41":22.7039172103,"2.42":22.9191800172,"2.43":23.2440116076,"2.44":25.9983688244,"2.45":24.3970831842,"2.46":25.6305932566,"2.47":27.3930779089,"2.48":27.0617152241,"2.49":28.6150477999,"2.5":29.3475386946,"2.5100000000000002":19.2004400553,"2.52":8.8476818652,"2.5300000000000002":4.5157059554,"2.54":1.3329561744,"2.5500000000000003":0.0,"2.56":0.0,"2.57":0.0,"2.58":0.0,"2.59":0.0,"2.6":0.0,"2.61":0.0,"2.62":0.0,"2.63":0.0,"2.64":0.0,"2.65":0.0,"2.66":0.0,"2.67":0.0,"2.68":0.0,"2.69":0.0,"2.7":0.0,"2.71":0.0,"2.72":0.0,"2.73":0.0,"2.74":0.0,"2.75":0.0,"2.7600000000000002":0.0,"2.77":0.0,"2.7800000000000002":0.0,"2.79":0.0,"2.8000000000000003":0.0,"2.81":0.0,"2.82":0.0,"2.83":0.0,"2.84":0.0,"2.85":0.0,"2.86":0.0,"2.87":0.0,"2.88":0.0,"2.89":0.0,"2.9":0.0,"2.91":0.0,"2.92":15.6973219105,"2.93":15.4386607752,"2.94":15.3601797492,"2.95":14.2578190968,"2.96":13.0348629826,"2.97":11.1629553913,"2.98":9.9584504765,"2.99":9.2947791579,"3.0":8.5245613458,"3.0100000000000002":7.1305013401,"3.02":5.3389349177,"3.0300000000000002":6.2566589064,"3.04":9.010506459,"3.0500000000000003":12.5926839847,"3.06":12.0919216839,"3.0700000000000003":10.9652548346,"3.08":9.8423756488,"3.09":8.7749034348,"3.1":7.9057589191,"3.11":7.1253774594,"3.12":6.4351848037,"3.13":5.8555532989,"3.14":5.4916443755,"3.15":3.3814554228,"3.16":5.4543429542,"3.17":5.6413108832,"3.18":10.1331922596,"3.19":11.8419585719,"3.2":12.3684074893,"3.21":11.6346437673,"3.22":10.9170449319,"3.23":10.2847392386,"3.24":9.7567296385,"3.25":9.3234174885,"3.2600000000000002":8.9638869851,"3.27":8.6438843405,"3.2800000000000002":8.3198148571,"3.29":7.9381187713,"3.3000000000000003":7.4231109304,"3.31":6.6810924264,"3.3200000000000003":5.501077192,"3.33":3.3483080702,"3.34":0.0,"3.35":0.0,"3.36":0.0,"3.37":0.0122044761,"3.38":0.5676275636,"3.39":1.407876364,"3.4":2.2808250569,"3.41":2.8030298847,"3.42":2.9709680008,"3.43":2.9164596189,"3.44":2.7234636219,"3.45":2.4436489576,"3.46":2.0792426368,"3.47":1.6325186098,"3.48":0.5710242663,"3.49":0.0,"3.5":0.0,"3.5100000000000002":0.0,"3.52":0.0,"3.5300000000000002":0.0,"3.54":0.0,"3.5500000000000003":0.0,"3.56":0.0,"3.5700000000000003":2.5100014204,"3.58":2.2199725522,"3.59":1.7546606753,"3.6":1.2531507909,"3.61":1.1875724024,"3.62":1.3075227135,"3.63":1.7208886926,"3.64":2.2756341755,"3.65":2.9467354634,"3.66":3.6519023511,"3.67":4.3866583843,"3.68":5.9491433749,"3.69":9.3083166226,"3.7":12.9675438081,"3.71":17.4106095068,"3.72":22.9504063266,"3.73":27.8321003575,"3.74":34.1190866212,"3.75":40.9646594551,"3.7600000000000002":50.3148319124,"3.77":58.5174930865,"3.7800000000000002":68.8155911697,"3.79":92.602310459,"3.8000000000000003":114.0318834556,"3.81":124.9958965609,"3.8200000000000003":132.9488576845,"3.83":137.2716448519,"3.84":137.5366701369,"3.85":133.8323277291,"3.86":126.7068148511,"3.87":116.9980002631,"3.88":105.498702263,"3.89":88.0721130352,"3.9":66.5603414583,"3.91":57.3406978425,"3.92":50.2486611247,"3.93":43.6817034861,"3.94":36.0751613969,"3.95":28.2450445786,"3.96":21.6536936818,"3.97":16.5054163046,"3.98":17.4245607748,"3.99":13.8962118903,"4.0":10.6499849581,"4.01":7.7789809146,"4.0200000000000005":5.273288282,"4.03":4.9271277287,"4.04":5.5358336764,"4.05":5.8270168682,"4.0600000000000005":6.2256731378,"4.07":6.3428793214,"4.08":6.5569746067,"4.09":6.7262132983,"4.1":6.7455266119,"4.11":6.7344628985,"4.12":5.6045376949,"4.13":4.0587161146,"4.14":1.837472158,"4.15":0.0,"4.16":0.1281361401,"4.17":0.22323213,"4.18":0.0000384426,"4.19":0.0078438807,"4.2":0.0200708611,"4.21":0.0340356628,"4.22":0.0484779032,"4.23":0.0627744339,"4.24":0.076617289,"4.25":0.0898185233,"4.26":0.1022138592,"4.2700000000000005":0.1136190559,"4.28":0.123787307,"4.29":0.1323906248,"4.3":0.1390156515,"4.3100000000000005":0.1431741921,"4.32":0.1443263821,"4.33":0.1419195056,"4.34":0.1354484167,"4.3500000000000005":0.1247407663,"4.36":0.8255800274,"4.37":0.0,"4.38":0.0,"4.39":0.0,"4.4":0.0,"4.41":0.0,"4.42":0.0,"4.43":1.2600272945,"4.44":5.5340670355,"4.45":9.3261554071,"4.46":10.7863229225,"4.47":11.022214613,"4.48":11.069019334,"4.49":11.0138180109,"4.5":10.8736984986,"4.51":10.7092665535,"4.5200000000000005":10.9684630757,"4.53":12.219901368,"4.54":14.7926076355,"4.55":19.0953182634,"4.5600000000000005":25.4946336354,"4.57":30.9956609456,"4.58":36.4575607149,"4.59":39.9844373397,"4.6000000000000005":44.2697924124,"4.61":48.5043041644,"4.62":52.3446869351,"4.63":57.6304825656,"4.64":59.027223211,"4.65":61.8057313386,"4.66":63.8893701072,"4.67":64.339562307,"4.68":60.3950957772,"4.69":48.98693802,"4.7":42.0339317445,"4.71":35.8835787248,"4.72":27.303584098,"4.73":28.0977399278,"4.74":26.8658042064,"4.75":25.3140645334,"4.76":23.6098817046,"4.7700000000000005":24.0423216645,"4.78":27.4110339669,"4.79":32.897747737,"4.8":43.0211413178,"4.8100000000000005":44.7477752653,"4.82":43.7269801553,"4.83":52.8943815106,"4.84":51.0193517372,"4.8500000000000005":47.6379375799,"4.86":47.8733302723,"4.87":51.1959924302,"4.88":52.5279598837,"4.89":53.2768067703,"4.9":54.1756951406,"4.91":55.7295617002,"4.92":60.6410624177,"4.93":67.2098350898,"4.94":75.9748620239,"4.95":89.2072543178,"4.96":98.0693997096,"4.97":101.6254733757,"4.98":104.1186191477,"4.99":106.7792626067,"5.0":109.4212232378,"5.01":111.884163789,"5.0200000000000005":114.0363925903,"5.03":115.7755767522,"5.04":117.0292436932,"5.05":117.7531786378,"5.0600000000000005":117.9285587952,"5.07":117.5581699931,"5.08":116.662877388,"5.09":115.2767549984,"5.1000000000000005":113.4421717565,"5.11":111.2051698961,"5.12":108.6120897782,"5.13":105.7088306542,"5.14":97.971108062,"5.15":85.8717079012,"5.16":65.7472493579,"5.17":50.0130545556,"5.18":43.7733643499,"5.19":35.9926140494,"5.2":30.1302700215,"5.21":24.1991622025,"5.22":22.6356875353,"5.23":20.2413833297,"5.24":17.2860486875,"5.25":14.8681510517,"5.26":5.085119286,"5.2700000000000005":0.0,"5.28":0.8595072213,"5.29":0.0,"5.3":0.0,"5.3100000000000005":0.0241289947,"5.32":0.0614158475,"5.33":0.0959813225,"5.34":0.1208060301,"5.3500000000000005":0.1323673364,"5.36":0.6974498822,"5.37":1.338168782,"5.38":0.0,"5.39":0.0,"5.4":0.0,"5.41":0.0392357156,"5.42":4.3535718739,"5.43":13.102070719,"5.44":15.2123066979,"5.45":13.8199898081,"5.46":9.0664953623,"5.47":1.594899843,"5.48":0.0,"5.49":1.9982295645,"5.5":8.361402862,"5.51":7.1139590064,"5.5200000000000005":6.0399045324,"5.53":5.0754480855,"5.54":4.1999151628,"5.55":3.4055047923,"5.5600000000000005":2.6884611907,"5.57":2.056724271,"5.58":1.4987621608,"5.59":1.0020494893,"5.6000000000000005":0.5627669702,"5.61":0.1122523924,"5.62":0.1700045461,"5.63":0.1865010286,"5.64":0.1880639279,"5.65":0.1760395113,"5.66":0.1520551887,"5.67":0.1187629475,"5.68":0.0799093976,"5.69":0.0407956595,"5.7":0.0095783794,"5.71":0.0,"5.72":0.0,"5.73":0.0,"5.74":0.0,"5.75":0.0,"5.76":0.8700423765,"5.7700000000000005":3.7821906308,"5.78":6.8196374048,"5.79":10.0757890703,"5.8":13.8995609645,"5.8100000000000005":17.8543183158,"5.82":21.6412701855,"5.83":25.5126561585,"5.84":29.6665540431,"5.8500000000000005":35.0411496901,"5.86":40.9670748782,"5.87":46.9729917225,"5.88":53.6126322957,"5.89":61.5245915242,"5.9":68.8124373718,"5.91":77.5634957281,"5.92":87.1566633301,"5.93":99.0118280383,"5.94":117.4796115306,"5.95":138.6567199834,"5.96":157.3548825585,"5.97":173.759594917,"5.98":188.3027877843,"5.99":200.9809291659,"6.0":211.5912408625,"6.01":220.7541180839,"6.0200000000000005":229.122085589,"6.03":234.5560813795,"6.04":236.4700263142,"6.05":234.2540372876,"6.0600000000000005":230.3944395459,"6.07":223.8493846684,"6.08":214.7659666357,"6.09":201.8319020655,"6.1000000000000005":181.5504586679,"6.11":141.2540737136,"6.12":93.4776869927,"6.13":27.5922607444,"6.140000000000001":14.0680292894,"6.15":3.3599894332,"6.16":0.0,"6.17":0.0,"6.18":0.0,"6.19":0.0,"6.2":0.0,"6.21":0.0,"6.22":0.0,"6.23":0.0174197656,"6.24":0.0532463972,"6.25":0.0880842738,"6.26":0.1144088967,"6.2700000000000005":0.1282887712,"6.28":0.1276975645,"6.29":0.1121234267,"6.3":0.0828669585,"6.3100000000000005":0.0442605085,"6.32":0.0075547344,"6.33":0.0,"6.34":0.5567445321,"6.3500000000000005":1.7372039326,"6.36":8.2561781068,"6.37":10.9830387281,"6.38":12.0491497854,"6.390000000000001":12.8758599291,"6.4":13.8788560058,"6.41":14.7764448895,"6.42":15.0746703225,"6.43":13.4857411127,"6.44":12.2342648693,"6.45":13.8401127418,"6.46":15.3585877728,"6.47":17.4197837604,"6.48":20.1457768242,"6.49":24.1846044275,"6.5":27.265874606,"6.51":29.2624400269,"6.5200000000000005":30.7481090677,"6.53":31.8509582265,"6.54":32.5864848342,"6.55":32.9682983384,"6.5600000000000005":32.9896387251,"6.57":32.659045708,"6.58":32.0272428345,"6.59":31.2328841827,"6.6000000000000005":30.4099438579,"6.61":29.6176013941,"6.62":28.9875506215,"6.63":28.5075437673,"6.640000000000001":28.2233876858,"6.65":28.0773367646,"6.66":28.0883580744,"6.67":28.0180006512,"6.68":27.8494535089,"6.69":27.5707041978,"6.7":27.190267141,"6.71":26.8233395969,"6.72":26.4302458985,"6.73":26.0658837947,"6.74":25.629684654,"6.75":25.1711495465,"6.76":24.7571394497,"6.7700000000000005":24.3774750962,"6.78":24.0190709219,"6.79":23.6665460563,"6.8":23.2974231514,"6.8100000000000005":22.9110363856,"6.82":22.496735769,"6.83":22.0475363177,"6.84":21.5316577281,"6.8500000000000005":20.9742794223,"6.86":20.3907632761,"6.87":19.791387322,"6.88":19.1263900193,"6.890000000000001":18.3675291867,"6.9":17.5003359282,"6.91":15.7494469412,"6.92":10.8681790257,"6.93":7.9089346324,"6.94":5.4762865365,"6.95":5.6373491886,"6.96":7.5557618658,"6.97":8.6732956017,"6.98":9.3229333573,"6.99":10.2395282748,"7.0":11.1684933604,"7.01":12.0799601875,"7.0200000000000005":11.0294991707,"7.03":9.1944838678,"7.04":6.5263697418,"7.05":4.0453727643,"7.0600000000000005":2.6115078108,"7.07":2.4427823526,"7.08":3.4833922293,"7.09":5.7485625284,"7.1000000000000005":8.7630917691,"7.11":11.6753434657,"7.12":14.1613343742,"7.13":16.3395782956,"7.140000000000001":16.8203319695,"7.15":16.8865310627,"7.16":16.9507411653,"7.17":16.6328390864,"7.18":16.0359873302,"7.19":15.2388536421,"7.2":12.6598831023,"7.21":8.5358659264,"7.22":3.2875605173,"7.23":2.2782316684,"7.24":2.2815676878,"7.25":5.2011741181,"7.26":15.1925302514,"7.2700000000000005":15.910446105,"7.28":13.5167887645,"7.29":11.2324065048,"7.3":9.2973371581,"7.3100000000000005":7.772861554,"7.32":6.6997590211,"7.33":6.0814848717,"7.34":5.9041283718,"7.3500000000000005":6.1367689836,"7.36":6.7701961757,"7.37":7.7344388386,"7.38":8.9791014648,"7.390000000000001":10.5271750648,"7.4":12.2970887282,"7.41":14.3458862769,"7.42":16.7421466174,"7.43":19.2105844349,"7.44":20.8358984467,"7.45":21.2551487186,"7.46":17.0421145509,"7.47":16.1007571494,"7.48":16.6459670045,"7.49":16.6226860022,"7.5":21.1299652758,"7.51":24.3409334322,"7.5200000000000005":24.6324655688,"7.53":22.151656307,"7.54":21.9559939127,"7.55":19.239788694,"7.5600000000000005":18.6246209806,"7.57":15.4196315462,"7.58":14.5024984856,"7.59":12.3868111883,"7.6000000000000005":9.8750627905,"7.61":7.1220732834,"7.62":5.0060330605,"7.63":3.176301136,"7.640000000000001":0.289846669,"7.65":0.0,"7.66":0.2651143773,"7.67":0.603116891,"7.68":0.0762487236,"7.69":0.1306349386,"7.7":0.1872981366,"7.71":0.2423896242,"7.72":0.2931322269,"7.73":0.3374736798,"7.74":0.3738416138,"7.75":0.4010147352,"7.76":0.418090505,"7.7700000000000005":0.4244598073,"7.78":0.0,"7.79":0.0,"7.8":0.0916531824,"7.8100000000000005":0.3400910106,"7.82":0.2933944507,"7.83":0.2385066524,"7.84":0.177457044,"7.8500000000000005":0.1135259018,"7.86":0.0524967976,"7.87":0.0065843415,"7.88":0.0,"7.890000000000001":0.0,"7.9":0.0,"7.91":0.0,"7.92":0.0,"7.930000000000001":0.0,"7.94":5.5668755489,"7.95":17.6275224065,"7.96":31.1234691983,"7.97":65.9692850869,"7.98":109.1438118579,"7.99":138.2346381579,"8.0":159.1789163595,"8.01":175.3924833457,"8.02":189.8742289659,"8.03":202.8336390918,"8.040000000000001":214.1972365399,"8.05":223.8087082388,"8.06":231.5257660642,"8.07":237.2929830419,"8.08":240.8111677835,"8.09":241.9129463668,"8.1":240.4414687331,"8.11":236.263391102,"8.120000000000001":229.6765163558,"8.13":218.9373802533,"8.14":202.9821134138,"8.15":182.7809503413,"8.16":157.0983357102,"8.17":128.1639762515,"8.18":108.3228284744,"8.19":71.0308407442,"8.2":57.9831125383,"8.21":49.9352830956,"8.22":38.4801508751,"8.23":35.0267681293,"8.24":28.2229209972,"8.25":22.1183973432,"8.26":16.764501792,"8.27":12.616672951,"8.28":9.6410935848,"8.290000000000001":7.3484158281,"8.3":5.5586669758,"8.31":4.8073767144,"8.32":4.7082404058,"8.33":4.5930498,"8.34":4.4155887192,"8.35":4.1202757122,"8.36":3.6375852331,"8.370000000000001":2.9054536283,"8.38":1.8796393962,"8.39":0.6451925944,"8.4":0.0,"8.41":0.0,"8.42":0.0,"8.43":0.0,"8.44":2.0621078405,"8.45":6.1769118702,"8.46":7.7241358124,"8.47":7.1409220515,"8.48":6.6294870017,"8.49":6.2759450216,"8.5":6.7403140855,"8.51":7.4980886118,"8.52":8.3476102165,"8.53":9.2893070227,"8.540000000000001":10.6809519901,"8.55":12.2209262018,"8.56":13.8442817497,"8.57":15.7443262874,"8.58":17.8939092004,"8.59":20.0963356026,"8.6":22.754612467,"8.61":23.9681775792,"8.620000000000001":24.8570157695,"8.63":24.6847209292,"8.64":24.180951899,"8.65":21.9119408462,"8.66":25.1937560915,"8.67":27.9309673845,"8.68":25.2455074804,"8.69":24.7761388891,"8.700000000000001":24.621555636,"8.71":21.1856592359,"8.72":24.7120594648,"8.73":25.174339928,"8.74":25.1233402923,"8.75":25.4020576784,"8.76":24.4155534783,"8.77":23.3911234378,"8.78":22.486673134,"8.790000000000001":21.624388861,"8.8":20.8248665242,"8.81":20.072520599,"8.82":19.5940657798,"8.83":19.3282126905,"8.84":19.1479011456,"8.85":19.1718168524,"8.86":19.4097765226,"8.870000000000001":19.8089419477,"8.88":19.4623731103,"8.89":16.7212886121,"8.9":11.4362038516,"8.91":9.6545051342,"8.92":8.0600793901,"8.93":8.6405767616,"8.94":10.6492768562,"8.950000000000001":11.1556731884,"8.96":11.403738338,"8.97":11.362529487,"8.98":11.341506876,"8.99":11.2044059793,"9.0":10.9595695965,"9.01":9.2178198234,"9.02":6.8724452792,"9.03":1.5858846261,"9.040000000000001":0.8970148092,"9.05":0.0,"9.06":0.0,"9.07":0.0024424338,"9.08":0.0219630991,"9.09":0.0454550496,"9.1":0.0660026629,"9.11":0.0805836534,"9.120000000000001":0.0881394019,"9.13":0.0887302623,"9.14":0.0831314099,"9.15":0.0725865067,"9.16":0.0586344181,"9.17":0.0429754232,"9.18":0.0274163795,"9.19":0.0137957367,"9.200000000000001":0.0039193126,"9.21":0.0,"9.22":0.0,"9.23":0.0,"9.24":0.0,"9.25":0.0,"9.26":0.0,"9.27":0.0,"9.28":0.0,"9.290000000000001":0.0,"9.3":0.0,"9.31":0.0,"9.32":0.0,"9.33":0.0,"9.34":0.0,"9.35":0.0,"9.36":0.0,"9.370000000000001":0.0,"9.38":0.0,"9.39":0.0,"9.4":0.0020027173,"9.41":0.0057297909,"9.42":0.0104242899,"9.43":0.0156350569,"9.44":0.0208379501,"9.450000000000001":0.0253992199,"9.46":0.0285835745,"9.47":0.0296050782,"9.48":0.0277563226,"9.49":0.0241556882,"9.5":0.5552481235,"9.51":1.3174392704,"9.52":0.1635931681,"9.53":0.0,"9.540000000000001":0.0,"9.55":1.7081889104,"9.56":4.7209241682,"9.57":6.7929357082,"9.58":10.6383742618,"9.59":14.9504550356,"9.6":18.1959814442,"9.61":21.3298119464,"9.620000000000001":27.279298289,"9.63":29.6219096498,"9.64":35.7467651168,"9.65":43.9931825512,"9.66":48.6461976892,"9.67":58.0266659836,"9.68":70.3084444126,"9.69":86.5561652527,"9.700000000000001":105.1083916752,"9.71":125.0254057146,"9.72":154.5967164335,"9.73":174.545887805,"9.74":188.713290445,"9.75":196.7458748606,"9.76":199.4996692663,"9.77":197.6797450896,"9.78":193.4180573562,"9.790000000000001":186.9891146684,"9.8":177.7668009592,"9.81":162.6717310756,"9.82":140.0808265997,"9.83":125.7774814096,"9.84":106.6186484933,"9.85":72.7453820824,"9.86":59.7761965215,"9.870000000000001":52.5901239066,"9.88":46.0849692263,"9.89":40.1668073213,"9.9":35.177034579,"9.91":30.974354193,"9.92":27.1363244275,"9.93":24.1032719274,"9.94":20.5704450953,"9.950000000000001":16.3596054905,"9.96":11.3029428281,"9.97":6.6114738917,"9.98":3.752312625,"9.99":1.6709961415,"10.0":1.1354497698,"10.01":1.5919058258,"10.02":2.7690036543,"10.03":3.8466150125,"10.040000000000001":4.9768032613,"10.05":6.6211504602,"10.06":7.1096704687,"10.07":7.5330202248,"10.08":7.8299624126,"10.09":7.9630023894,"10.1":8.0116681924,"10.11":8.0568443084,"10.120000000000001":8.1921577539,"10.13":8.5339419862,"10.14":9.1084686328,"10.15":9.8745024957,"10.16":10.9404784399,"10.17":12.059601022,"10.18":13.3574806803,"10.19":14.5921618689,"10.200000000000001":15.4780361064,"10.21":15.7645361214,"10.22":16.381714869,"10.23":13.2600646566,"10.24":14.3390779759,"10.25":15.2072050007,"10.26":15.8513740299,"10.27":16.2596799563,"10.28":16.409402269,"10.290000000000001":17.2882567288,"10.3":21.9075206432,"10.31":21.8951796651,"10.32":21.4450969329,"10.33":20.6166559302,"10.34":19.5652492359,"10.35":18.2980809807,"10.36":16.8626852549,"10.370000000000001":15.2434572644,"10.38":13.2303891776,"10.39":11.1969487173,"10.4":8.7113566475,"10.41":5.7693971305,"10.42":2.8695331333,"10.43":1.6156139282,"10.44":0.5822232414,"10.450000000000001":0.0,"10.46":0.0,"10.47":0.0,"10.48":0.0,"10.49":0.0,"10.5":0.0,"10.51":0.0,"10.52":0.3628756348,"10.53":0.8871141386,"10.540000000000001":1.8696803867,"10.55":3.0868727264,"10.56":4.2410155995,"10.57":5.2691291849,"10.58":6.1368141863,"10.59":6.8149089167,"10.6":7.3271255655,"10.61":7.4807580488,"10.620000000000001":7.5488269933,"10.63":7.5332279861,"10.64":7.4929284487,"10.65":7.5450129597,"10.66":7.8364892573,"10.67":8.273219728,"10.68":9.0147868883,"10.69":10.3111016648,"10.700000000000001":11.869700701,"10.71":13.6818494193,"10.72":15.473575468,"10.73":17.1043432942,"10.74":18.3936037854,"10.75":19.2739046982,"10.76":19.4929879982,"10.77":19.0010972547,"10.78":18.1424836488,"10.790000000000001":18.1414364059,"10.8":18.4097131467,"10.81":18.4650357592,"10.82":18.3313916816,"10.83":18.0397885063,"10.84":17.6132062636,"10.85":17.080741432,"10.86":16.4732012252,"10.870000000000001":17.17911558,"10.88":18.2588367215,"10.89":19.1227839779,"10.9":19.8060880112,"10.91":20.4010614389,"10.92":20.8561058057,"10.93":21.2490943727,"10.94":21.7650946349,"10.950000000000001":22.5455970639,"10.96":22.8867506515,"10.97":22.8940042823,"10.98":22.6150509751,"10.99":22.4482915002,"11.0":24.4702802302,"11.01":22.8885916246,"11.02":22.8585969161,"11.03":22.9220934245,"11.040000000000001":22.7119827765,"11.05":21.5996094649,"11.06":21.9446042163,"11.07":16.6609023622,"11.08":12.3700580862,"11.09":13.8819259301,"11.1":16.0161246609,"11.11":20.3030819212,"11.120000000000001":22.770375908,"11.13":22.690433025,"11.14":23.6160324435,"11.15":24.5612889008,"11.16":22.9177334647,"11.17":23.8586591606,"11.18":23.281958666,"11.19":22.1583735927,"11.200000000000001":21.71029093,"11.21":19.9834377424,"11.22":18.0374554017,"11.23":16.3058470807,"11.24":14.7725236833,"11.25":13.3717468461,"11.26":11.8665090199,"11.27":9.9981392927,"11.28":7.71505579,"11.290000000000001":5.8836764806,"11.3":5.3733705839,"11.31":4.9013155289,"11.32":4.5005507906,"11.33":4.1494752932,"11.34":3.8396972117,"11.35":3.5915098618,"11.36":3.3886795719,"11.370000000000001":3.2239300736,"11.38":3.0968249756,"11.39":3.0112748927,"11.4":2.9695927879,"11.41":2.9768407641,"11.42":3.0410415318,"11.43":3.1732590603,"11.44":3.3875843056,"11.450000000000001":3.6944958424,"11.46":4.1180866508,"11.47":4.6774620688,"11.48":5.4019927884,"11.49":6.3011337861,"11.5":7.3977935434,"11.51":8.724467602,"11.52":10.313318456,"11.53":12.2151000837,"11.540000000000001":14.4293248647,"11.55":16.9374595465,"11.56":20.1221619377,"11.57":22.9113690357,"11.58":27.5933969369,"11.59":30.1177918599,"11.6":32.3796663871,"11.61":34.0805071782,"11.620000000000001":35.7973344665,"11.63":37.6503906224,"11.64":39.2775465672,"11.65":44.7153507884,"11.66":44.2064238588,"11.67":43.5859772972,"11.68":49.02409762,"11.69":46.0818592898,"11.700000000000001":47.7267525399,"11.71":53.0606815032,"11.72":52.9140077542,"11.73":58.1615077447,"11.74":72.0183092945,"11.75":74.3636112355,"11.76":76.1209150745,"11.77":80.0375285432,"11.78":81.2338086833,"11.790000000000001":82.3108422381,"11.8":84.3687548184,"11.81":85.3812399911,"11.82":88.4280814405,"11.83":90.8684387262,"11.84":93.2033268514,"11.85":96.6776938894,"11.86":99.5200992354,"11.870000000000001":102.2960802313,"11.88":105.1813811694,"11.89":108.2427871381,"11.9":111.5226180035,"11.91":114.9546347945,"11.92":118.4486808824,"11.93":113.0690555431,"11.94":109.9386661244,"11.950000000000001":106.2599509821,"11.96":101.0343487211,"11.97":92.3431294699,"11.98":91.5579557014,"11.99":89.6401748436,"12.0":81.8049383884,"12.01":51.7138613722,"12.02":39.2242251218,"12.030000000000001":30.8877897338,"12.040000000000001":26.8678400705,"12.05":1.1329054669,"12.06":0.0,"12.07":0.0,"12.08":0.0,"12.09":0.0,"12.1":0.0,"12.11":0.0300430918,"12.120000000000001":0.0875353977,"12.13":0.1497230245,"12.14":0.2090861462,"12.15":0.2621133895,"12.16":0.3070509328,"12.17":0.3430552443,"12.18":0.3697984009,"12.19":0.3872994343,"12.200000000000001":0.3958420417,"12.21":0.395916402,"12.22":0.3881816832,"12.23":0.3734292918,"12.24":0.3525476425,"12.25":0.326482474,"12.26":0.2962048516,"12.27":0.2626826479,"12.280000000000001":0.226906571,"12.290000000000001":0.1916031171,"12.3":1.0473805308,"12.31":0.6380351664,"12.32":0.0,"12.33":0.0,"12.34":0.0,"12.35":0.0,"12.36":0.0,"12.370000000000001":0.1931694176,"12.38":2.2391183359,"12.39":6.5658229805,"12.4":9.5947750152,"12.41":10.8405371464,"12.42":10.6384994017,"12.43":10.3750330216,"12.44":9.7161505234,"12.450000000000001":9.2997594898,"12.46":9.3253699668,"12.47":9.9972793925,"12.48":10.5555781955,"12.49":11.3926289955,"12.5":11.7304399924,"12.51":13.4708397847,"12.52":16.7135951551,"12.530000000000001":19.9145249989,"12.540000000000001":18.5246585002,"12.55":21.1352983118,"12.56":24.7965160178,"12.57":31.3867141206,"12.58":35.8598391287,"12.59":39.973951033,"12.6":42.5679311072,"12.61":44.858030459,"12.620000000000001":46.9362048454,"12.63":48.829001581,"12.64":50.5465096075,"12.65":52.4747361217,"12.66":54.2469706486,"12.67":55.6363061016,"12.68":56.5861844308,"12.69":56.1188068882,"12.700000000000001":54.6239671698,"12.71":51.4378276976,"12.72":47.2638899427,"12.73":42.6305930846,"12.74":37.8451841158,"12.75":37.7317642404,"12.76":39.2123019519,"12.77":35.3808494173,"12.780000000000001":30.2278228658,"12.790000000000001":28.0705225268,"12.8":25.8062355863,"12.81":23.4531679085,"12.82":21.197692741,"12.83":20.1053966519,"12.84":17.4045385503,"12.85":15.1471227995,"12.86":12.4281564171,"12.870000000000001":9.6332692606,"12.88":7.8474511773,"12.89":5.7481628739,"12.9":5.2925046784,"12.91":5.3028128424,"12.92":5.5871991595,"12.93":6.1216103182,"12.94":6.8434127711,"12.950000000000001":7.6809292463,"12.96":8.5809651818,"12.97":9.4257946587,"12.98":10.0570962109,"12.99":9.7199017888,"13.0":9.7845169057,"13.01":9.6904353965,"13.02":9.5254580417,"13.030000000000001":9.3201001787,"13.040000000000001":9.0787889839,"13.05":8.797281551,"13.06":8.6184825073,"13.07":8.3828036726,"13.08":7.5232459062,"13.09":6.9969397596,"13.1":6.3494489989,"13.11":5.6286614412,"13.120000000000001":4.8564843723,"13.13":4.0648997864,"13.14":3.2949924306,"13.15":3.8914344195,"13.16":4.8702906079,"13.17":5.9223740731,"13.18":7.0487756433,"13.19":8.2683237158,"13.200000000000001":9.6004287318,"13.21":11.0575299935,"13.22":12.6548606956,"13.23":14.4036731917,"13.24":16.2837171805,"13.25":18.2550487941,"13.26":20.3579371509,"13.27":18.1642358483,"13.280000000000001":20.159040356,"13.290000000000001":22.1552909016,"13.3":25.3176140495,"13.31":30.4700786777,"13.32":36.5321023823,"13.33":41.6211500103,"13.34":45.1613984217,"13.35":48.1745351801,"13.36":50.9054298459,"13.370000000000001":54.1723709091,"13.38":57.7229025291,"13.39":61.8563316582,"13.4":69.4782205655,"13.41":79.3575689724,"13.42":84.4239353417,"13.43":88.1919719586,"13.44":90.5521066308,"13.450000000000001":90.9404391775,"13.46":89.4775510236,"13.47":86.485108446,"13.48":82.0428368188,"13.49":74.6549049521,"13.5":64.5801112842,"13.51":60.3627699402,"13.52":55.9923606712,"13.530000000000001":50.5001266913,"13.540000000000001":43.8207237526,"13.55":37.8582950299,"13.56":32.6140261189,"13.57":27.7013979012,"13.58":23.8632519753,"13.59":20.1465201293,"13.6":19.8465006262,"13.61":19.5371694959,"13.620000000000001":18.1033193527,"13.63":16.2158236228,"13.64":14.2988910447,"13.65":12.4861115963,"13.66":11.0279177649,"13.67":9.9904281812,"13.68":9.3138362182,"13.69":8.6925858783,"13.700000000000001":8.2757718268,"13.71":7.9950153762,"13.72":7.7883830754,"13.73":7.6128398925,"13.74":7.449859242,"13.75":7.1981431575,"13.76":6.6574171034,"13.77":6.1493934763,"13.780000000000001":5.6327959602,"13.790000000000001":5.1255735054,"13.8":4.6676219522,"13.81":4.2921362919,"13.82":4.0187454926,"13.83":3.8611508315,"13.84":3.8274882333,"13.85":3.9178764183,"13.86":4.1263761384,"13.870000000000001":4.4390688818,"13.88":4.8369119938,"13.89":5.2952591133,"13.9":5.7790706943,"13.91":6.2474789117,"13.92":6.668631497,"13.93":7.0263706757,"13.94":7.3130122797,"13.950000000000001":7.404040935,"13.96":7.426101821,"13.97":7.4033753114,"13.98":7.137555027,"13.99":6.7897885814,"14.0":6.7743958598,"14.01":7.1879035345,"14.02":7.6633291261,"14.030000000000001":7.9981030145,"14.040000000000001":7.8364947109,"14.05":10.5254760216,"14.06":13.4960656464,"14.07":16.5205296253,"14.08":19.5140272049,"14.09":18.1605952647,"14.1":25.0303010481,"14.11":29.3731198414,"14.120000000000001":31.8618460053,"14.13":33.3324775798,"14.14":34.5760588987,"14.15":35.4623410076,"14.16":36.3214433418,"14.17":37.0828279171,"14.18":37.7367755763,"14.19":38.329258145,"14.200000000000001":38.8420314083,"14.21":39.3284096669,"14.22":39.7833322451,"14.23":40.2011542162,"14.24":40.610134438,"14.25":41.0037635889,"14.26":41.3722768569,"14.27":41.7475220503,"14.280000000000001":41.963517245,"14.290000000000001":42.0626793881,"14.3":42.0184093252,"14.31":41.8639045419,"14.32":41.4361214492,"14.33":40.6151377195,"14.34":38.7123822993,"14.35":32.8134458821,"14.36":27.7890901981,"14.370000000000001":25.2380794261,"14.38":22.636484926,"14.39":20.4274340043,"14.4":18.7387154991,"14.41":21.1595197731,"14.42":21.804021758,"14.43":21.5299141229,"14.44":20.8135396733,"14.450000000000001":19.9519082053,"14.46":19.096342885,"14.47":18.4445149546,"14.48":17.7997269393,"14.49":17.2763867508,"14.5":16.8852409822,"14.51":16.6821408502,"14.52":16.6130917611,"14.530000000000001":16.6666256614,"14.540000000000001":16.8299479083,"14.55":17.0834312783,"14.56":17.4328159195,"14.57":17.7923232678,"14.58":18.1096322589,"14.59":18.256617365,"14.6":18.427965382,"14.61":18.4407699755,"14.620000000000001":19.4349015052,"14.63":18.7179398192,"14.64":18.8918088286,"14.65":20.1950482579,"14.66":19.208892966,"14.67":19.4890321694,"14.68":19.8479668766,"14.69":21.9640119818,"14.700000000000001":22.3113378364,"14.71":20.8768112601,"14.72":22.3575687212,"14.73":23.0303754071,"14.74":22.822594157,"14.75":23.5509068478,"14.76":26.2377175191,"14.77":26.8837537959,"14.780000000000001":28.6480130446,"14.790000000000001":30.6863853383,"14.8":30.5043459633,"14.81":32.2712507179,"14.82":34.0924796106,"14.83":34.1640588527,"14.84":31.2103704414,"14.85":32.6447693839,"14.86":29.0464390667,"14.870000000000001":28.9955325245,"14.88":30.9149887992,"14.89":33.0667743195,"14.9":35.1073003633,"14.91":37.0607977407,"14.92":39.3246230796,"14.93":41.4510141315,"14.94":43.5911245245,"14.950000000000001":45.584819033,"14.96":47.3856357038,"14.97":49.385554172,"14.98":50.4917258016,"14.99":51.0706919908,"15.0":51.1807123049,"15.01":50.9873076689,"15.02":50.2679865485,"15.030000000000001":49.0405747742,"15.040000000000001":47.4433015966,"15.05":45.4464367513,"15.06":43.2099908969,"15.07":40.8059999044,"15.08":38.4123543193,"15.09":36.0003274985,"15.1":33.8652853386,"15.11":31.8113947593,"15.120000000000001":29.8074224407,"15.13":27.9053793529,"15.14":26.0695325991,"15.15":26.2083535951,"15.16":26.8760647393,"15.17":26.9296287524,"15.18":26.4967897934,"15.19":26.094488379,"15.200000000000001":25.5596546733,"15.21":24.9931319117,"15.22":24.57356839,"15.23":24.1336795149,"15.24":23.6863986483,"15.25":23.2362149647,"15.26":22.7846468474,"15.27":22.333662447,"15.280000000000001":21.8883829813,"15.290000000000001":21.4570290053,"15.3":21.0491250778,"15.31":20.6736532051,"15.32":20.3412982486,"15.33":20.0504477405,"15.34":19.7996945782,"15.35":19.5830442616,"15.36":19.3905156652,"15.370000000000001":19.2090949386,"15.38":19.0238648955,"15.39":18.8192221263,"15.4":18.5799783822,"15.41":18.2922781679,"15.42":17.9442103829,"15.43":17.5243675362,"15.44":17.0217534551,"15.450000000000001":16.4370246746,"15.46":15.9582313833,"15.47":15.6476358365,"15.48":15.3488031805,"15.49":19.3134292496,"15.5":18.9421059029,"15.51":18.5575137649,"15.52":18.1645373149,"15.530000000000001":17.7794480914,"15.540000000000001":17.3583350802,"15.55":16.9011805295,"15.56":16.4144962531,"15.57":15.9026267544,"15.58":15.3272132777,"15.59":14.6947582558,"15.6":14.0091561499,"15.610000000000001":13.2689999982,"15.620000000000001":12.4526958482,"15.63":11.5965487308,"15.64":10.6781717522,"15.65":9.7078857982,"15.66":8.6956400362,"15.67":8.7259451642,"15.68":9.2335282231,"15.69":9.5678746134,"15.700000000000001":9.7084343848,"15.71":9.680290152,"15.72":9.5778505762,"15.73":9.6285421307,"15.74":9.373899859,"15.75":9.2877710986,"15.76":9.3016542379,"15.77":9.4271957449,"15.780000000000001":9.6086016065,"15.790000000000001":9.8600751743,"15.8":10.0694399745,"15.81":10.2564887752,"15.82":10.3585018433,"15.83":9.8808189059,"15.84":9.2631130123,"15.85":8.5885882194,"15.860000000000001":7.8453705682,"15.870000000000001":7.1625055449,"15.88":6.6818766902,"15.89":6.4819704912,"15.9":6.5843295438,"15.91":6.9596528231,"15.92":7.5352720968,"15.93":8.2033822152,"15.94":8.8281979073,"15.950000000000001":9.3673342435,"15.96":9.8374844113,"15.97":10.212680645,"15.98":10.3177566104,"15.99":9.8062826583,"16.0":9.6526201235,"16.01":9.5025616092,"16.02":9.4950402811,"16.03":9.6741390333,"16.04":10.0408780723,"16.05":10.5189027018,"16.06":11.1251926683,"16.07":11.9518095809,"16.080000000000002":12.9048067672,"16.09":13.8174138048,"16.1":14.9504210094,"16.11":15.8808007495,"16.12":16.3618541461,"16.13":16.6078333552,"16.14":18.686368716,"16.15":16.3193452399,"16.16":18.1282192091,"16.17":19.852792723,"16.18":21.4913761036,"16.19":23.0258051501,"16.2":28.7044457568,"16.21":32.6116607362,"16.22":34.3046163568,"16.23":35.3163219034,"16.240000000000002":36.0481644787,"16.25":36.6296965302,"16.26":37.0663798221,"16.27":37.3235086596,"16.28":37.367013969,"16.29":37.2683711939,"16.3":37.0512781111,"16.31":36.7783862201,"16.32":36.4114953064,"16.330000000000002":35.9534113181,"16.34":35.3464173596,"16.35":34.6037582335,"16.36":33.7683767466,"16.37":32.8225241183,"16.38":31.6349956599,"16.39":29.8472378534,"16.4":27.2170335446,"16.41":23.278671061,"16.42":18.381137729,"16.43":20.8049669009,"16.44":18.9152536957,"16.45":17.061925548,"16.46":15.3515422365,"16.47":13.732968361,"16.48":12.3009511859,"16.490000000000002":11.4075572388,"16.5":11.9935560727,"16.51":12.2840434825,"16.52":12.4350139635,"16.53":12.5222770515,"16.54":12.6145969165,"16.55":12.7534877584,"16.56":12.961211833,"16.57":13.2628776388,"16.580000000000002":13.6789547881,"16.59":14.2254719526,"16.6":14.865341102,"16.61":15.6097940661,"16.62":16.4864589818,"16.63":17.4918773133,"16.64":18.6108671686,"16.65":19.8538302658,"16.66":21.0913950233,"16.67":22.2364954241,"16.68":23.4811339172,"16.69":24.8022373677,"16.7":26.0091301363,"16.71":26.9690472244,"16.72":27.6515751731,"16.73":28.1504593234,"16.740000000000002":28.3898650647,"16.75":27.8858221353,"16.76":26.0764339676,"16.77":24.6989078993,"16.78":25.692253349,"16.79":26.5640587428,"16.8":27.4540305832,"16.81":28.1944054893,"16.82":28.7440099034,"16.830000000000002":29.0750875988,"16.84":31.9356577853,"16.85":33.9542543622,"16.86":34.3148072206,"16.87":34.0274818912,"16.88":33.480082901,"16.89":32.6773431628,"16.9":31.8213642768,"16.91":30.9218963292,"16.92":30.034675318,"16.93":29.0916434387,"16.94":28.090208538,"16.95":27.0873658177,"16.96":26.2047423825,"16.97":25.3565559226,"16.98":24.4614896025,"16.990000000000002":23.82633342,"17.0":23.243733022,"17.01":22.6388504051,"17.02":22.1381778606,"17.03":21.6869163876,"17.04":21.2391838246,"17.05":20.67192391,"17.06":19.5965696861,"17.07":18.1841835674,"17.080000000000002":16.5586143248,"17.09":14.7878199625,"17.1":13.8180057068,"17.11":13.6541166306,"17.12":13.6317541708,"17.13":13.7303662743,"17.14":13.9803756242,"17.150000000000002":14.3428223165,"17.16":14.8014733311,"17.17":15.3436860603,"17.18":15.9651030375,"17.19":16.6238215537,"17.2":17.29879169,"17.21":18.0194289597,"17.22":18.7212415397,"17.23":19.3736811798,"17.240000000000002":20.0397088487,"17.25":16.3120519706,"17.26":16.7586578058,"17.27":17.1460687689,"17.28":17.4748460159,"17.29":17.7234426424,"17.3":17.8971055027,"17.31":18.0016670103,"17.32":18.0421067385,"17.330000000000002":18.0244095921,"17.34":18.7245505054,"17.35":20.2503467621,"17.36":21.5979669371,"17.37":22.6493032918,"17.38":23.4161522399,"17.39":24.0966180812,"17.400000000000002":24.6205531665,"17.41":24.9917703253,"17.42":25.2332677114,"17.43":25.365930752,"17.44":25.4087311629,"17.45":25.3704874349,"17.46":25.2311113003,"17.47":24.9475700345,"17.48":24.5141105805,"17.490000000000002":24.0388372236,"17.5":23.5025970498,"17.51":22.8909244774,"17.52":22.2003989446,"17.53":21.4081502407,"17.54":20.4806476013,"17.55":19.5685550968,"17.56":18.6782251913,"17.57":17.7250894549,"17.580000000000002":16.7275882741,"17.59":15.7052294452,"17.6":14.6868083373,"17.61":13.7730115663,"17.62":12.8975482226,"17.63":12.0646517872,"17.64":11.3219442191,"17.650000000000002":10.6945712183,"17.66":10.1613824562,"17.67":9.6716118007,"17.68":9.3215228604,"17.69":9.2423624809,"17.7":8.9433578102,"17.71":8.8825258193,"17.72":8.8606802679,"17.73":8.7967904538,"17.740000000000002":8.7144720766,"17.75":8.6399893916,"17.76":8.5913554235,"17.77":8.5695010242,"17.78":8.5648988335,"17.79":8.5466080572,"17.8":8.5285500144,"17.81":8.817330532,"17.82":9.3025928164,"17.830000000000002":9.8280162978,"17.84":10.0841550417,"17.85":10.6524261115,"17.86":11.2470015187,"17.87":11.8680520905,"17.88":12.5118160836,"17.89":13.15029031,"17.900000000000002":13.8011488397,"17.91":14.4847528795,"17.92":15.2309038088,"17.93":16.1132378977,"17.94":17.0559339362,"17.95":17.8534696696,"17.96":18.7249514759,"17.97":19.4788432453,"17.98":19.8314347023,"17.990000000000002":19.435398515,"18.0":17.6145671135,"18.01":18.0798340294,"18.02":19.600701389,"18.03":21.0950819575,"18.04":22.6910636044,"18.05":24.8818954985,"18.06":27.2375829309,"18.07":32.5537608497,"18.080000000000002":36.0106447461,"18.09":38.1261358753,"18.1":39.839887503,"18.11":40.8932398653,"18.12":41.7740069064,"18.13":42.55320592,"18.14":43.2313996301,"18.150000000000002":43.7553170361,"18.16":44.1887491176,"18.17":44.5405649272,"18.18":44.8075185785,"18.19":44.9308087343,"18.2":44.9112263682,"18.21":44.7637262305,"18.22":44.4755402843,"18.23":43.9870943096,"18.240000000000002":43.0094700258,"18.25":40.1417397523,"18.26":34.9967910496,"18.27":32.3627514318,"18.28":30.0981651332,"18.29":27.7286731123,"18.3":25.9025637978,"18.31":23.9962453232,"18.32":22.0313343562,"18.330000000000002":20.1214836258,"18.34":21.8269387904,"18.35":22.8727133311,"18.36":22.9620556647,"18.37":22.5606750514,"18.38":21.9048212685,"18.39":21.111598042,"18.400000000000002":20.2597538727,"18.41":19.418037763,"18.42":18.6212789164,"18.43":17.9257757361,"18.44":17.3992670083,"18.45":16.9453374656,"18.46":16.5593706857,"18.47":16.3002902779,"18.48":16.0945815076,"18.490000000000002":15.9400603582,"18.5":15.8993453407,"18.51":15.96406897,"18.52":16.0863003091,"18.53":16.2461424086,"18.54":16.413573423,"18.55":16.542338864,"18.56":16.566592712,"18.57":16.4016561006,"18.580000000000002":15.9647545879,"18.59":15.9500757726,"18.6":16.6933350446,"18.61":17.4090566335,"18.62":18.0804072252,"18.63":18.6737025842,"18.64":19.1955458818,"18.650000000000002":19.6344438104,"18.66":19.9805777208,"18.67":20.2264847707,"18.68":20.3674979862,"18.69":20.4016811666,"18.7":20.3334443615,"18.71":20.1597664431,"18.72":19.8719150258,"18.73":19.4948440645,"18.740000000000002":19.0406270601,"18.75":18.5498484903,"18.76":18.0256561806,"18.77":17.4605711375,"18.78":16.8572399424,"18.79":16.2538809255,"18.8":15.6668892962,"18.81":15.1113327256,"18.82":14.6119653455,"18.830000000000002":14.1579548593,"18.84":13.7676888635,"18.85":13.4478344161,"18.86":13.2024955913,"18.87":13.0330146689,"18.88":12.9404789561,"18.89":12.9195504075,"18.900000000000002":12.9627740881,"18.91":13.0770867994,"18.92":13.2475540985,"18.93":13.644115548,"18.94":13.9659942903,"18.95":14.2184560942,"18.96":14.4052417488,"18.97":14.5291656079,"18.98":14.5930028956,"18.990000000000002":14.6166434198,"19.0":14.6546542537,"19.01":14.6767582214,"19.02":14.636224508,"19.03":14.5381715853,"19.04":14.3781955718,"19.05":14.1585206622,"19.06":13.8833320852,"19.07":13.5587650431,"19.080000000000002":13.175088336,"19.09":12.8581573634,"19.1":12.6329074709,"19.11":12.4083060838,"19.12":12.1651110123,"19.13":11.9375084924,"19.14":11.7463937085,"19.150000000000002":11.5696721572,"19.16":11.3971594511,"19.17":11.274981056,"19.18":11.1852842713,"19.19":11.1310717016,"19.2":11.1168820955,"19.21":11.1463714737,"19.22":11.2224918847,"19.23":11.3468080983,"19.240000000000002":11.5191957716,"19.25":11.7379278663,"19.26":11.9991237283,"19.27":12.3041235453,"19.28":12.6606133892,"19.29":13.0194890785,"19.3":13.3880028008,"19.31":13.7941377908,"19.32":14.1967766977,"19.330000000000002":14.556154165,"19.34":14.904507902,"19.35":15.2560685872,"19.36":15.5715269344,"19.37":15.8313398079,"19.38":16.0576122887,"19.39":16.2889007024,"19.400000000000002":16.4918092791,"19.41":16.6590913811,"19.42":16.7896460842,"19.43":16.8981562024,"19.44":16.9886625267,"19.45":17.0753857054,"19.46":17.1524945639,"19.47":17.2189867208,"19.48":17.2797026048,"19.490000000000002":17.3386442914,"19.5":17.4001665975,"19.51":17.467449796,"19.52":17.5442514971,"19.53":17.6314568915,"19.54":17.7280403273,"19.55":17.8321951175,"19.56":17.9397630849,"19.57":18.0403980223,"19.580000000000002":18.1176792703,"19.59":18.1462108464,"19.6":18.0737873971,"19.61":17.869304692,"19.62":18.1090614246,"19.63":18.9063636153,"19.64":15.7537310063,"19.650000000000002":16.2808692022,"19.66":17.1918168849,"19.67":18.1354738748,"19.68":19.1088345794,"19.69":20.1078183276,"19.7":21.1218959991,"19.71":22.1394670998,"19.72":23.2799975092,"19.73":24.8612122939,"19.740000000000002":28.8664243523,"19.75":32.1304250449,"19.76":34.2733298635,"19.77":35.8333515879,"19.78":37.1245878898,"19.79":38.252365925,"19.8":39.2809641826,"19.81":40.2130557061,"19.82":40.9380870583,"19.830000000000002":41.6042118719,"19.84":42.2051929241,"19.85":42.7356919544,"19.86":43.1894041761,"19.87":43.5600463266,"19.88":43.8392804001,"19.89":44.017298845,"19.900000000000002":44.0551507324,"19.91":43.8169107594,"19.92":43.1448389375,"19.93":40.6372856211,"19.94":37.1586292852,"19.95":35.2755016785,"19.96":33.5899350249,"19.97":32.0806139911,"19.98":30.5180777477,"19.990000000000002":28.8906512532},"7":{"1.5":6.0101667115,"1.51":6.0916789047,"1.52":6.1702465645,"1.53":6.2477537457,"1.54":6.3753407875,"1.55":6.4490035683,"1.56":6.472446857,"1.57":6.4366862313,"1.58":6.3279928261,"1.59":6.1928140409,"1.6":6.0677278237,"1.61":5.9025704234,"1.62":5.7083776899,"1.6300000000000001":5.5286395016,"1.6400000000000001":5.3194294257,"1.6500000000000001":5.0365402646,"1.6600000000000001":4.691613164,"1.67":4.3222316238,"1.68":3.9344092662,"1.69":3.48995726,"1.7":3.0183014051,"1.71":2.5225281674,"1.72":2.0410240013,"1.73":1.8020129509,"1.74":1.8173947546,"1.75":1.816081159,"1.76":1.8039414414,"1.77":1.786857005,"1.78":1.7667837505,"1.79":1.7939728886,"1.8":2.3589940618,"1.81":3.7173227777,"1.82":5.7874345155,"1.83":8.727147434,"1.84":12.4938159202,"1.85":16.2247361696,"1.86":19.7711142777,"1.87":23.551150326,"1.8800000000000001":27.1912747732,"1.8900000000000001":30.8722231701,"1.9000000000000001":34.4813234587,"1.9100000000000001":37.970470309,"1.92":41.1743317286,"1.93":44.1349249307,"1.94":46.7313570279,"1.95":48.9294778058,"1.96":50.7141400751,"1.97":52.0018309079,"1.98":52.7995211596,"1.99":53.0987863774,"2.0":52.9005782615,"2.0100000000000002":52.2157847971,"2.02":51.059502699,"2.0300000000000002":49.4334476269,"2.04":47.4248462798,"2.05":45.0618948339,"2.06":42.3750126143,"2.07":39.446932628,"2.08":36.2512458162,"2.09":32.9283768537,"2.1":29.1708352118,"2.11":25.3710622559,"2.12":21.568975769,"2.13":18.0829516433,"2.14":14.6165139555,"2.15":11.5328919247,"2.16":8.6731833293,"2.17":6.0318863196,"2.18":4.4268953343,"2.19":3.0256804116,"2.2":1.8713283424,"2.21":0.3369868112,"2.22":0.2849511896,"2.23":0.2355592946,"2.24":0.1883693151,"2.25":0.1496578817,"2.2600000000000002":0.1053664371,"2.27":0.176220431,"2.2800000000000002":0.3779854615,"2.29":0.8627749239,"2.3000000000000003":1.244409074,"2.31":1.8500165243,"2.32":2.8055511996,"2.33":3.2439952936,"2.34":4.5643814367,"2.35":4.312391524,"2.36":5.8680802567,"2.37":5.8112839757,"2.38":6.8794690173,"2.39":8.6306545539,"2.4":10.2233891901,"2.41":11.5034745267,"2.42":13.3267062843,"2.43":15.4619732157,"2.44":17.2377612687,"2.45":21.3815725032,"2.46":25.3749992197,"2.47":30.2577028793,"2.48":37.9222757766,"2.49":46.7058623467,"2.5":57.208422842,"2.5100000000000002":72.512550624,"2.52":89.0021351237,"2.5300000000000002":104.4347740415,"2.54":119.9772342645,"2.5500000000000003":135.5861409545,"2.56":151.1187277579,"2.57":167.16622334,"2.58":183.3122829509,"2.59":199.5283194224,"2.6":215.5895131453,"2.61":231.2547726107,"2.62":246.2783848208,"2.63":260.4160268195,"2.64":273.4308895317,"2.65":285.0997331222,"2.66":295.2186939003,"2.67":303.6086686571,"2.68":310.1201132033,"2.69":314.6371076686,"2.7":317.0805611663,"2.71":317.4104518359,"2.72":315.6270249989,"2.73":311.7709002497,"2.74":305.9220689517,"2.75":298.1977938906,"2.7600000000000002":288.7494535476,"2.77":277.7584032998,"2.7800000000000002":265.4309544794,"2.79":251.9925977756,"2.8000000000000003":237.6816214335,"2.81":222.7422945996,"2.82":207.417801504,"2.83":191.9431246726,"2.84":176.5380813223,"2.85":161.4007188657,"2.86":146.701270407,"2.87":132.57685878,"2.88":119.0489182963,"2.89":106.182750699,"2.9":93.4206854677,"2.91":81.1324652445,"2.92":64.1919994082,"2.93":53.1686191295,"2.94":42.438885422,"2.95":32.7150939154,"2.96":25.1029336711,"2.97":18.7837990441,"2.98":13.2204798996,"2.99":8.6605591257,"3.0":5.239691645,"3.0100000000000002":2.9603278773,"3.02":1.7727309122,"3.0300000000000002":1.6339038898,"3.04":1.9498021428,"3.0500000000000003":5.0001818393,"3.06":11.3199145442,"3.0700000000000003":19.1960990037,"3.08":28.3602403894,"3.09":38.8242424574,"3.1":50.0098490006,"3.11":61.6186349338,"3.12":73.5358937664,"3.13":85.6667248221,"3.14":97.872896791,"3.15":110.853593302,"3.16":121.3364244005,"3.17":129.9984653303,"3.18":136.3408057472,"3.19":143.1628230254,"3.2":149.6875723463,"3.21":155.8431444006,"3.22":161.013649055,"3.23":165.0984688967,"3.24":168.0364443413,"3.25":169.7981663778,"3.2600000000000002":170.3794706982,"3.27":169.8023444701,"3.2800000000000002":168.1128070964,"3.29":165.3801837468,"3.3000000000000003":161.7006688997,"3.31":157.1937612475,"3.3200000000000003":152.041017224,"3.33":146.5687781514,"3.34":141.001529172,"3.35":133.5445696907,"3.36":124.0922627921,"3.37":113.468789306,"3.38":102.8936787977,"3.39":92.2561732568,"3.4":81.8254806139,"3.41":71.8928205048,"3.42":62.4549068085,"3.43":53.6050571621,"3.44":45.311191577,"3.45":37.7124763878,"3.46":30.7853689462,"3.47":24.6750582098,"3.48":19.608244646,"3.49":15.468281332,"3.5":12.0626150398,"3.5100000000000002":9.1967371387,"3.52":6.9969168443,"3.5300000000000002":4.5912421882,"3.54":3.9426438897,"3.5500000000000003":3.8340712155,"3.56":4.0708866406,"3.5700000000000003":3.0844587978,"3.58":2.7109649302,"3.59":2.1926057313,"3.6":1.602397624,"3.61":1.5302364623,"3.62":1.6827157643,"3.63":2.1527734564,"3.64":2.7021038868,"3.65":3.3055691569,"3.66":3.8637057734,"3.67":4.3812132178,"3.68":4.9928107291,"3.69":5.0531175772,"3.7":4.92639149,"3.71":4.8711522502,"3.72":5.1704789054,"3.73":3.1541722595,"3.74":2.5769407091,"3.75":2.7388143697,"3.7600000000000002":3.0934814271,"3.77":5.1204227049,"3.7800000000000002":7.0868316316,"3.79":3.3265697572,"3.8000000000000003":0.1312635864,"3.81":0.2587013446,"3.8200000000000003":0.4294793182,"3.83":0.5530282077,"3.84":0.5792753789,"3.85":0.4919173591,"3.86":0.3475767972,"3.87":0.1886941111,"3.88":0.0917996507,"3.89":1.9695409113,"3.9":5.4532986942,"3.91":3.8889700242,"3.92":1.8935721043,"3.93":0.4528116996,"3.94":0.1467159535,"3.95":0.1802241542,"3.96":0.2274563013,"3.97":0.3639932578,"3.98":1.3738369251,"3.99":1.5515185478,"4.0":1.7044917856,"4.01":1.8139134667,"4.0200000000000005":1.8911257627,"4.03":2.4870699638,"4.04":3.6618320523,"4.05":4.9872824711,"4.0600000000000005":7.7100313028,"4.07":11.1870416609,"4.08":15.5474839951,"4.09":20.6447741456,"4.1":26.6388340706,"4.11":34.3145264005,"4.12":41.9910932651,"4.13":49.1528305226,"4.14":55.9061022834,"4.15":61.9252229899,"4.16":66.434839707,"4.17":70.128214453,"4.18":73.4089681336,"4.19":76.2409639248,"4.2":78.7544109958,"4.21":80.9873509339,"4.22":82.9726497107,"4.23":84.7355543039,"4.24":86.2923537484,"4.25":87.6495394605,"4.26":88.8034875245,"4.2700000000000005":89.7407155711,"4.28":90.4387473056,"4.29":90.8675619718,"4.3":90.991588407,"4.3100000000000005":90.7721707845,"4.32":90.1704073229,"4.33":89.1502383031,"4.34":87.6816405191,"4.3500000000000005":85.743700223,"4.36":83.063536603,"4.37":80.0161335844,"4.38":74.856965416,"4.39":69.5205272676,"4.4":65.0769823319,"4.41":60.8746161194,"4.42":56.6421300677,"4.43":50.9417067274,"4.44":43.7978790306,"4.45":36.9893848947,"4.46":31.2369043148,"4.47":27.7130286067,"4.48":25.8611888345,"4.49":24.9621162522,"4.5":24.8899481037,"4.51":25.7893555459,"4.5200000000000005":27.3997910161,"4.53":29.4634480534,"4.54":31.8730945811,"4.55":34.4709815268,"4.5600000000000005":37.0502279362,"4.57":40.7193934608,"4.58":45.0325510127,"4.59":50.5835191614,"4.6000000000000005":56.587395019,"4.61":63.4074548724,"4.62":70.687974889,"4.63":78.5699321575,"4.64":87.8842553925,"4.65":96.6385625472,"4.66":105.2091573064,"4.67":113.4361036213,"4.68":122.0226188843,"4.69":131.7976899969,"4.7":138.5739912853,"4.71":143.4354353865,"4.72":147.3590485428,"4.73":146.2986976565,"4.74":144.0541596308,"4.75":140.0522444675,"4.76":134.2739658895,"4.7700000000000005":126.0206310227,"4.78":115.1261017043,"4.79":101.9964437919,"4.8":85.9384577606,"4.8100000000000005":71.5115156337,"4.82":57.2857936792,"4.83":39.6486792218,"4.84":31.4198662666,"4.8500000000000005":24.2501484876,"4.86":17.1571642214,"4.87":9.4293818651,"4.88":6.1579531762,"4.89":3.8573220959,"4.9":0.0,"4.91":0.0,"4.92":0.0009041519,"4.93":0.0611777578,"4.94":0.1191736493,"4.95":0.3183780073,"4.96":2.7395108036,"4.97":7.3749414294,"4.98":12.0394570084,"4.99":16.14243919,"5.0":19.637871853,"5.01":22.4890673003,"5.0200000000000005":24.6685900342,"5.03":26.1575632,"5.04":26.9455002743,"5.05":27.029366684,"5.0600000000000005":26.4123648995,"5.07":25.1025830328,"5.08":23.1120764114,"5.09":20.4554320545,"5.1000000000000005":17.1483810441,"5.11":13.206816397,"5.12":8.6465621437,"5.13":3.4929832144,"5.14":0.1116600198,"5.15":0.0,"5.16":0.0,"5.17":0.0027153952,"5.18":0.0,"5.19":2.6334575038,"5.2":4.3620512269,"5.21":8.3530003336,"5.22":13.6460656343,"5.23":22.363677679,"5.24":34.4407617207,"5.25":49.199817683,"5.26":66.218567126,"5.2700000000000005":81.0743536896,"5.28":92.9482094576,"5.29":103.7716975821,"5.3":113.1769219248,"5.3100000000000005":121.4987406119,"5.32":128.559217711,"5.33":134.1846974253,"5.34":138.1974159314,"5.3500000000000005":140.4172744679,"5.36":140.456241531,"5.37":138.2842514373,"5.38":133.6880793696,"5.39":124.4709615856,"5.4":114.2082478945,"5.41":103.0006701664,"5.42":84.4937799069,"5.43":61.2488630072,"5.44":38.3478365974,"5.45":22.3913413089,"5.46":10.1189261286,"5.47":2.1893234733,"5.48":0.0,"5.49":2.5164155253,"5.5":11.8939393323,"5.51":25.2346691499,"5.5200000000000005":39.485139017,"5.53":54.6528984718,"5.54":70.0294951245,"5.55":85.1584706676,"5.5600000000000005":99.7344913012,"5.57":113.5225725106,"5.58":126.3117379908,"5.59":137.9081138911,"5.6000000000000005":148.1150926365,"5.61":157.0819462712,"5.62":161.9609850241,"5.63":165.5172095823,"5.64":167.7101571101,"5.65":168.532926415,"5.66":168.0050418317,"5.67":166.1714994837,"5.68":163.1010914701,"5.69":158.88384037,"5.7":153.6274850982,"5.71":147.4557781196,"5.72":140.5119367831,"5.73":132.9412773067,"5.74":123.1083681787,"5.75":112.5145365548,"5.76":101.5380188205,"5.7700000000000005":89.7755398259,"5.78":78.0447739762,"5.79":66.4659263464,"5.8":54.907595027,"5.8100000000000005":43.2187382754,"5.82":31.8965446937,"5.83":20.8893720827,"5.84":13.3171781733,"5.8500000000000005":8.3536721408,"5.86":4.6520586557,"5.87":1.9437449783,"5.88":0.147461865,"5.89":0.0179753318,"5.9":0.0,"5.91":0.0,"5.92":0.0276378872,"5.93":0.104558977,"5.94":0.0,"5.95":0.0,"5.96":0.0,"5.97":0.0,"5.98":0.0,"5.99":0.0,"6.0":0.0,"6.01":0.0,"6.0200000000000005":0.3690957575,"6.03":1.2297388913,"6.04":2.5234516019,"6.05":4.6268029072,"6.0600000000000005":4.4245135877,"6.07":4.7106690868,"6.08":5.1713490772,"6.09":6.6093685436,"6.1000000000000005":13.168385899,"6.11":32.9453295529,"6.12":60.7235394585,"6.13":88.6029554046,"6.140000000000001":97.3744915038,"6.15":104.6277389524,"6.16":108.7109947223,"6.17":110.9261468375,"6.18":112.6116859275,"6.19":113.9033703817,"6.2":114.8878810438,"6.21":115.5558053902,"6.22":115.8812077342,"6.23":115.8247359261,"6.24":115.3221646226,"6.25":114.3057154304,"6.26":112.6992283633,"6.2700000000000005":110.4205500859,"6.28":107.3870130687,"6.29":103.5208470667,"6.3":98.7544264491,"6.3100000000000005":93.0349815576,"6.32":86.3280364722,"6.33":78.629917012,"6.34":69.6196751738,"6.3500000000000005":58.1786797031,"6.36":43.8285779458,"6.37":30.0550449792,"6.38":19.8746880187,"6.390000000000001":12.3862810664,"6.4":7.1474274116,"6.41":4.1954588935,"6.42":1.9693820256,"6.43":0.5600222541,"6.44":0.2146199982,"6.45":0.1342946079,"6.46":0.0687863238,"6.47":0.0291899478,"6.48":0.0106154346,"6.49":0.0525371047,"6.5":0.1636184206,"6.51":0.3911173361,"6.5200000000000005":0.6212249629,"6.53":0.7374524991,"6.54":0.7522830152,"6.55":0.6884783684,"6.5600000000000005":0.5808778661,"6.57":0.4628236822,"6.58":0.3488810123,"6.59":0.2946260086,"6.6000000000000005":0.2770559947,"6.61":0.2842240868,"6.62":0.2985539546,"6.63":0.3566092067,"6.640000000000001":0.4614626201,"6.65":0.6508830554,"6.66":1.0203048356,"6.67":1.6000701299,"6.68":2.3375600839,"6.69":3.2231458771,"6.7":4.2350136879,"6.71":5.3110808883,"6.72":6.4397805751,"6.73":7.5725991232,"6.74":8.9321837017,"6.75":10.5319167395,"6.76":11.9911408498,"6.7700000000000005":13.2740060453,"6.78":14.3481913466,"6.79":15.1988397046,"6.8":15.8959539003,"6.8100000000000005":16.2660561686,"6.82":16.2862845827,"6.83":15.9353677239,"6.84":15.20296014,"6.8500000000000005":14.0618803178,"6.86":12.5182707946,"6.87":10.6672787442,"6.88":8.4249548177,"6.890000000000001":7.9541935109,"6.9":5.534789999,"6.91":3.2570503755,"6.92":1.7856785279,"6.93":1.8758226432,"6.94":2.1037654957,"6.95":3.1071064871,"6.96":5.7111005736,"6.97":10.6042274813,"6.98":18.3040006656,"6.99":28.5003612326,"7.0":40.9080974285,"7.01":56.8801825266,"7.0200000000000005":73.5495908449,"7.03":88.9739864167,"7.04":102.8604880725,"7.05":114.5650149644,"7.0600000000000005":123.5201285128,"7.07":129.4056721973,"7.08":132.0331810935,"7.09":131.2376272519,"7.1000000000000005":127.0732896424,"7.11":119.7811648541,"7.12":109.4890511292,"7.13":96.2428229477,"7.140000000000001":80.5774671469,"7.15":65.1336509892,"7.16":51.4915613402,"7.17":38.8138601964,"7.18":27.5643240444,"7.19":18.346162999,"7.2":11.1161989612,"7.21":7.4243675539,"7.22":4.0640831711,"7.23":3.0315239728,"7.24":2.9510279935,"7.25":4.1203755391,"7.26":7.3846595624,"7.2700000000000005":13.2593777322,"7.28":20.2699257992,"7.29":26.8269849036,"7.3":32.3276359828,"7.3100000000000005":37.0301260911,"7.32":40.4060868083,"7.33":42.5714144729,"7.34":43.4102894786,"7.3500000000000005":42.9729779765,"7.36":41.3396516094,"7.37":38.6318120148,"7.38":34.9346140093,"7.390000000000001":30.4758798552,"7.4":25.4589111504,"7.41":20.2391594639,"7.42":14.858030914,"7.43":9.9224053405,"7.44":3.9608587117,"7.45":1.2807884588,"7.46":0.1564335501,"7.47":0.070750806,"7.48":0.0404961595,"7.49":0.0122930484,"7.5":0.1758813791,"7.51":1.0242874149,"7.5200000000000005":2.544166176,"7.53":5.1385658001,"7.54":7.6601652064,"7.55":11.7620419655,"7.5600000000000005":16.0089908127,"7.57":21.9752758855,"7.58":27.6379055383,"7.59":34.7914862405,"7.6000000000000005":43.4089499306,"7.61":52.1357029507,"7.62":60.4968986772,"7.63":68.6209163272,"7.640000000000001":76.9528854119,"7.65":84.0170179207,"7.66":90.2257139033,"7.67":95.9607269708,"7.68":101.6568151764,"7.69":106.7869084693,"7.7":111.5037659477,"7.71":115.7480491706,"7.72":119.4629278536,"7.73":122.5967595805,"7.74":125.1054617966,"7.75":126.954498137,"7.76":128.1204340059,"7.7700000000000005":128.5920605155,"7.78":142.1241228355,"7.79":144.9828346664,"7.8":126.0306393874,"7.8100000000000005":123.7645866461,"7.82":121.0469517666,"7.83":117.8317323177,"7.84":114.1883154863,"7.8500000000000005":110.1922413631,"7.86":105.9227190094,"7.87":101.4592489813,"7.88":96.8901733142,"7.890000000000001":92.3010537971,"7.9":87.7676562146,"7.91":83.3596073372,"7.92":78.8637797157,"7.930000000000001":74.1204055043,"7.94":67.6349064006,"7.95":59.3310558419,"7.96":50.9038169447,"7.97":34.5774143251,"7.98":14.0757219493,"7.99":6.0533105008,"8.0":3.1251593713,"8.01":2.4598598997,"8.02":2.265851263,"8.03":2.2146456829,"8.040000000000001":2.2446640472,"8.05":2.3243528994,"8.06":2.4206301381,"8.07":2.457527798,"8.08":2.4999981294,"8.09":2.5484027639,"8.1":2.6084642029,"8.11":2.6874241078,"8.120000000000001":2.5403703138,"8.13":1.1397483669,"8.14":0.3038881648,"8.15":0.0,"8.16":0.0,"8.17":1.2934841543,"8.18":1.1913530843,"8.19":9.3703027547,"8.2":7.8923139122,"8.21":5.7626580173,"8.22":6.6501667302,"8.23":4.9928576595,"8.24":5.4404201586,"8.25":6.1150020335,"8.26":6.4935130878,"8.27":6.5385624546,"8.28":6.3027612312,"8.290000000000001":5.9593213341,"8.3":5.5922677951,"8.31":5.3344320965,"8.32":5.1567621337,"8.33":5.0042889465,"8.34":4.8191579152,"8.35":4.5358208109,"8.36":4.0876613975,"8.370000000000001":3.4057072955,"8.38":2.390065155,"8.39":0.9371354729,"8.4":0.0,"8.41":0.0,"8.42":0.0,"8.43":0.0,"8.44":2.5073088032,"8.45":5.9169016232,"8.46":11.3260587421,"8.47":18.1824122114,"8.48":25.5886014392,"8.49":33.9214470954,"8.5":42.5410375815,"8.51":51.7340086528,"8.52":61.4638680267,"8.53":71.3519917469,"8.540000000000001":81.1814919001,"8.55":90.8092782606,"8.56":100.0899273259,"8.57":108.7929092951,"8.58":116.8202743938,"8.59":124.169784796,"8.6":130.7700633915,"8.61":136.8629380674,"8.620000000000001":141.9179913752,"8.63":146.1243003733,"8.64":149.1935758662,"8.65":151.5883031332,"8.66":150.6643947442,"8.67":148.3481718379,"8.68":147.3215723553,"8.69":144.4882287168,"8.700000000000001":140.6394622021,"8.71":136.5682682391,"8.72":129.2867850312,"8.73":122.2704799299,"8.74":114.7685519349,"8.75":106.6044987132,"8.76":98.3078813398,"8.77":90.050050785,"8.78":81.7085644572,"8.790000000000001":73.2648174213,"8.8":64.6579631909,"8.81":55.9227482238,"8.82":47.1792164944,"8.83":38.5368473233,"8.84":30.3417274938,"8.85":24.2671052522,"8.86":17.5749184449,"8.870000000000001":11.6185427339,"8.88":6.3924011185,"8.89":3.3864863158,"8.9":2.0988119431,"8.91":2.2852645215,"8.92":2.4604575926,"8.93":3.3112083878,"8.94":5.6690496647,"8.950000000000001":8.444427675,"8.96":13.6387786883,"8.97":20.0560077569,"8.98":27.9723449975,"8.99":37.3748284922,"9.0":49.1651202571,"9.01":62.4869370486,"9.02":74.9842703821,"9.03":87.3921735485,"9.040000000000001":96.951059336,"9.05":104.4374107532,"9.06":110.3902638924,"9.07":115.3633516159,"9.08":119.3870575002,"9.09":122.5024075072,"9.1":124.7733117958,"9.11":126.2773022688,"9.120000000000001":127.1033979411,"9.13":127.3496162942,"9.14":127.1199320291,"9.15":126.5209124046,"9.16":125.6582226387,"9.17":124.6331824256,"9.18":123.539524871,"9.19":122.460556552,"9.200000000000001":121.4669285397,"9.21":120.6161613501,"9.22":119.9502011023,"9.23":119.4926446677,"9.24":119.2526875684,"9.25":119.224963065,"9.26":119.3911921448,"9.27":119.722338571,"9.28":120.1811417149,"9.290000000000001":120.7248818851,"9.3":121.3082224984,"9.31":121.8859713382,"9.32":122.4156093986,"9.33":122.859450011,"9.34":123.1863125271,"9.35":123.3726224951,"9.36":123.4028827545,"9.370000000000001":123.2694952723,"9.38":122.9719504483,"9.39":122.5154364962,"9.4":121.909675909,"9.41":121.164853673,"9.42":120.2900857754,"9.43":119.2913383905,"9.44":118.168613537,"9.450000000000001":116.9136276144,"9.46":115.5079061295,"9.47":113.9214045774,"9.48":112.1117463141,"9.49":110.0235184067,"9.5":107.3922634037,"9.51":104.2530561318,"9.52":101.2218291668,"9.53":97.1144012043,"9.540000000000001":92.031729995,"9.55":85.0581091343,"9.56":76.6361568873,"9.57":67.4290745327,"9.58":56.4603066531,"9.59":44.2850503204,"9.6":34.0862190883,"9.61":25.4292659659,"9.620000000000001":17.0047199878,"9.63":11.6331137251,"9.64":6.8382398763,"9.65":3.4740332254,"9.66":2.6717413587,"9.67":0.2393976651,"9.68":0.0211721119,"9.69":0.0,"9.700000000000001":0.023379322,"9.71":0.1948528041,"9.72":0.0,"9.73":0.0,"9.74":0.5104340571,"9.75":2.8898904852,"9.76":5.9056031742,"9.77":8.5759444908,"9.78":9.8873886561,"9.790000000000001":9.8837770999,"9.8":8.6984431648,"9.81":7.920950215,"9.82":9.108186211,"9.83":7.6843318448,"9.84":8.5599758108,"9.85":15.7372126181,"9.86":14.6025981429,"9.870000000000001":11.3775328978,"9.88":9.2803433987,"9.89":7.7018755812,"9.9":6.4574371026,"9.91":5.6443660817,"9.92":4.7230317068,"9.93":5.6672485323,"9.94":4.318028097,"9.950000000000001":3.1880379138,"9.96":2.3657830994,"9.97":2.0411159764,"9.98":2.1256453114,"9.99":2.0556592941,"10.0":1.5786080841,"10.01":2.0485221784,"10.02":3.1580955424,"10.03":4.2568589959,"10.040000000000001":5.5729108403,"10.05":7.5068473765,"10.06":9.5790409053,"10.07":11.6407163629,"10.08":13.6486288308,"10.09":15.1808835,"10.1":16.1795236087,"10.11":16.6278896679,"10.120000000000001":16.4791272986,"10.13":15.6793031053,"10.14":14.2406562191,"10.15":12.4399966701,"10.16":10.5730112559,"10.17":8.3444216078,"10.18":6.648080618,"10.19":5.1605537044,"10.200000000000001":3.6574544118,"10.21":2.2447083423,"10.22":1.6235419742,"10.23":0.602315749,"10.24":0.5311293086,"10.25":0.4844637828,"10.26":0.4621372251,"10.27":0.4641946097,"10.28":0.4904393476,"10.290000000000001":0.6246851176,"10.3":2.2733544495,"10.31":2.9369057692,"10.32":3.5128710096,"10.33":3.9815036944,"10.34":4.2884649208,"10.35":4.435912775,"10.36":4.4164739854,"10.370000000000001":4.2491770174,"10.38":4.004472632,"10.39":3.8695256936,"10.4":3.6888620484,"10.41":3.48777731,"10.42":3.1243764337,"10.43":2.0876881854,"10.44":0.9165800637,"10.450000000000001":0.0,"10.46":0.0,"10.47":0.0,"10.48":0.0,"10.49":0.0,"10.5":0.0,"10.51":0.0,"10.52":0.5613611154,"10.53":1.2997647042,"10.540000000000001":2.4551273506,"10.55":3.6831581897,"10.56":4.7675278329,"10.57":5.7452430948,"10.58":6.6183858101,"10.59":7.3842165539,"10.6":8.0245836368,"10.61":8.6053938867,"10.620000000000001":9.0180964476,"10.63":9.2578783767,"10.64":9.3037519288,"10.65":9.1163719155,"10.66":8.6495907532,"10.67":7.9510612799,"10.68":7.1620910257,"10.69":6.6733031322,"10.700000000000001":5.9805419313,"10.71":5.1030589983,"10.72":4.1530990939,"10.73":3.1901126268,"10.74":2.2716663465,"10.75":1.475975457,"10.76":0.9066898275,"10.77":0.5331858076,"10.78":0.3223894671,"10.790000000000001":0.2514337652,"10.8":0.2355297052,"10.81":0.2401148954,"10.82":0.261302156,"10.83":0.2901283942,"10.84":0.329553714,"10.85":0.3772998572,"10.86":0.4307423196,"10.870000000000001":0.6114052151,"10.88":0.9471576943,"10.89":1.4613218862,"10.9":2.171804206,"10.91":3.1165664145,"10.92":4.2433680578,"10.93":5.5110087131,"10.94":6.8343538747,"10.950000000000001":8.615605366,"10.96":11.4686689201,"10.97":14.8120272783,"10.98":18.9448146978,"10.99":23.7687490888,"11.0":28.2401737956,"11.01":34.3601075464,"11.02":40.7597194211,"11.03":47.1336597796,"11.040000000000001":52.997804846,"11.05":58.2617349873,"11.06":62.0550760951,"11.07":66.6993171658,"11.08":69.9175167178,"11.09":70.0574782057,"11.1":68.8445258668,"11.11":65.7619317094,"11.120000000000001":62.1611572117,"11.13":58.3182293967,"11.14":53.0850999851,"11.15":46.8568840196,"11.16":41.0603961369,"11.17":34.7165697898,"11.18":29.350241688,"11.19":24.4887045856,"11.200000000000001":19.7140105292,"11.21":15.8810345387,"11.22":12.9300442399,"11.23":10.0616271246,"11.24":7.9768026006,"11.25":6.4348565502,"11.26":5.0147075027,"11.27":3.8344874522,"11.28":2.9330212637,"11.290000000000001":2.4863769656,"11.3":2.4408673808,"11.31":2.4080506132,"11.32":2.378502318,"11.33":2.3584708304,"11.34":2.3492966347,"11.35":2.3424984578,"11.36":2.3417285614,"11.370000000000001":2.3477531957,"11.38":2.3593794982,"11.39":2.3744596705,"11.4":2.3920219319,"11.41":2.4109499686,"11.42":2.4299957101,"11.43":2.4477989167,"11.44":2.4628805758,"11.450000000000001":2.4757991325,"11.46":2.4832803725,"11.47":2.484287157,"11.48":2.4746769044,"11.49":2.4532623018,"11.5":2.4149789637,"11.51":2.3591171032,"11.52":2.2790209555,"11.53":2.160520292,"11.540000000000001":2.0054159684,"11.55":1.8199482104,"11.56":1.7904584624,"11.57":1.4571361333,"11.58":3.0564178231,"11.59":5.6199114693,"11.6":8.5167243723,"11.61":12.055864416,"11.620000000000001":17.1620892744,"11.63":22.4959191228,"11.64":28.2339757299,"11.65":32.7162998017,"11.66":39.8213413183,"11.67":47.0994378736,"11.68":51.8177901228,"11.69":59.9372537451,"11.700000000000001":65.5090257789,"11.71":68.7550819499,"11.72":73.6888935286,"11.73":75.4527510558,"11.74":72.5326149156,"11.75":73.7070902916,"11.76":74.0467966524,"11.77":72.3159527242,"11.78":71.1028943396,"11.790000000000001":69.1112089873,"11.8":65.8235451624,"11.81":62.3577638247,"11.82":57.280305014,"11.83":52.1792906712,"11.84":46.8954109854,"11.85":40.6961387653,"11.86":34.5558494846,"11.870000000000001":28.3572187129,"11.88":22.6012033818,"11.89":17.4232539444,"11.9":12.225645029,"11.91":7.0502313822,"11.92":1.9292273063,"11.93":0.2517621022,"11.94":0.0,"11.950000000000001":0.0,"11.96":0.0,"11.97":0.0,"11.98":0.174193453,"11.99":0.3674945439,"12.0":3.8375387209,"12.01":18.5005142798,"12.02":27.4705975563,"12.030000000000001":38.6924628972,"12.040000000000001":54.0994047099,"12.05":76.099370846,"12.06":88.7393966216,"12.07":98.6957817091,"12.08":107.4305098014,"12.09":115.3062628222,"12.1":122.3419304811,"12.11":128.5570272688,"12.120000000000001":133.9546154951,"12.13":138.551286115,"12.14":142.3630529691,"12.15":145.4062453867,"12.16":147.6996903827,"12.17":149.2662391587,"12.18":150.133848756,"12.19":150.3362077905,"12.200000000000001":149.91288975,"12.21":148.9090182298,"12.22":147.3744384823,"12.23":145.3624280754,"12.24":142.9280029349,"12.25":140.1259057428,"12.26":137.0083806644,"12.27":133.6228622305,"12.280000000000001":130.0096967207,"12.290000000000001":126.1994332877,"12.3":121.8841004837,"12.31":117.7963644071,"12.32":112.8573685205,"12.33":106.9103131667,"12.34":101.1943354951,"12.35":95.9996259451,"12.36":91.2838515139,"12.370000000000001":85.4804603909,"12.38":77.6880761536,"12.39":68.5465976895,"12.4":59.2188992898,"12.41":49.8018083145,"12.42":40.2501730594,"12.43":32.5162391931,"12.44":25.862732101,"12.450000000000001":19.7935463891,"12.46":14.5117080327,"12.47":10.3321778125,"12.48":7.128731932,"12.49":5.0256454536,"12.5":3.0451637403,"12.51":2.1866503973,"12.52":1.9284949794,"12.530000000000001":1.6649331256,"12.540000000000001":0.5001108873,"12.55":0.2729811225,"12.56":0.1458595918,"12.57":0.3520988845,"12.58":1.0143693619,"12.59":1.7969056429,"12.6":2.6837538918,"12.61":3.5268959604,"12.620000000000001":4.2935080445,"12.63":4.8778855562,"12.64":5.191268923,"12.65":4.8873816358,"12.66":4.1593006431,"12.67":3.0694032522,"12.68":1.6274845744,"12.69":0.4137075895,"12.700000000000001":0.0225563368,"12.71":0.0,"12.72":0.0,"12.73":0.0,"12.74":0.0,"12.75":0.0,"12.76":1.0267207857,"12.77":3.2561250839,"12.780000000000001":6.4004543453,"12.790000000000001":9.3660108363,"12.8":13.9115978049,"12.81":20.1111947545,"12.82":27.0575348425,"12.83":34.09785826,"12.84":42.4851771311,"12.85":51.0404802598,"12.86":58.70426124,"12.870000000000001":65.1322907804,"12.88":69.9466734667,"12.89":73.595001128,"12.9":75.4355405005,"12.91":75.8947144037,"12.92":75.0795393796,"12.93":73.0519460298,"12.94":69.8973533802,"12.950000000000001":65.7138584264,"12.96":60.6020856314,"12.97":54.6921812973,"12.98":48.1292300609,"12.99":41.3911609981,"13.0":35.4318618056,"13.01":30.1348334369,"13.02":25.2755903144,"13.030000000000001":20.9476293269,"13.040000000000001":17.1522694765,"13.05":13.603784129,"13.06":11.0271277104,"13.07":8.6195905093,"13.08":6.7313027364,"13.09":5.7612678457,"13.1":4.9148533621,"13.11":4.1814818585,"13.120000000000001":3.5565434783,"13.13":3.031072361,"13.14":2.5901723247,"13.15":2.4815303288,"13.16":2.4434321342,"13.17":2.4062507451,"13.18":2.3632295175,"13.19":2.3153482543,"13.200000000000001":2.2592445629,"13.21":2.1913275517,"13.22":2.1063092555,"13.23":1.999371186,"13.24":1.8754934818,"13.25":1.7443901228,"13.26":1.5940335726,"13.27":0.5386329749,"13.280000000000001":0.3604499509,"13.290000000000001":0.1876071805,"13.3":0.0899387255,"13.31":0.0633286798,"13.32":0.0,"13.33":0.2559876461,"13.34":1.3066850096,"13.35":2.8807736953,"13.36":4.8057147182,"13.370000000000001":6.4881883352,"13.38":7.9674803808,"13.39":8.9536842317,"13.4":8.1687065825,"13.41":6.0502162779,"13.42":5.4624932472,"13.43":4.8663290094,"13.44":4.2548534558,"13.450000000000001":3.8210842244,"13.46":3.5157219232,"13.47":3.2281017411,"13.48":2.9763862255,"13.49":3.4198319863,"13.5":4.6197402692,"13.51":2.9949311651,"13.52":1.1389362179,"13.530000000000001":0.0,"13.540000000000001":0.0,"13.55":0.0,"13.56":0.0,"13.57":0.0,"13.58":0.0795304514,"13.59":0.2501222825,"13.6":0.7386353852,"13.61":1.8577465187,"13.620000000000001":3.2919631822,"13.63":4.6916416046,"13.64":5.9429323074,"13.65":6.9966443532,"13.66":7.7541061306,"13.67":8.5203576103,"13.68":9.3423294297,"13.69":9.8736905072,"13.700000000000001":10.0755989777,"13.71":9.99792407,"13.72":9.6934299777,"13.73":9.2129572986,"13.74":8.6013520626,"13.75":7.9346496644,"13.76":7.3291215274,"13.77":6.704868384,"13.780000000000001":6.1145973302,"13.790000000000001":5.5859917937,"13.8":5.1349198251,"13.81":4.7746708121,"13.82":4.5177680733,"13.83":4.3725462501,"13.84":4.3427849158,"13.85":4.4282853474,"13.86":4.6239835546,"13.870000000000001":4.9207287444,"13.88":5.3041464471,"13.89":5.7549903678,"13.9":6.251518649,"13.91":6.7685847447,"13.92":7.2731485202,"13.93":7.723851366,"13.94":8.0743393293,"13.950000000000001":8.3204574166,"13.96":8.3655565639,"13.97":8.1537645367,"13.98":7.7176686405,"13.99":6.9625566754,"14.0":6.2391635906,"14.01":5.5909374861,"14.02":4.7100827631,"14.030000000000001":3.6612156612,"14.040000000000001":2.5426923395,"14.05":2.3473478119,"14.06":2.1458112189,"14.07":1.9189769893,"14.08":1.6875094164,"14.09":0.6182546316,"14.1":1.0718390901,"14.11":2.3739160313,"14.120000000000001":4.2643872262,"14.13":6.4301495152,"14.14":8.8183983431,"14.15":11.2061241303,"14.16":13.3674968311,"14.17":15.8104509067,"14.18":18.0881564865,"14.19":19.9648545536,"14.200000000000001":21.3673625716,"14.21":22.2717721262,"14.22":22.6877349149,"14.23":22.6631241404,"14.24":22.0971996527,"14.25":21.0060084322,"14.26":19.4155717915,"14.27":17.33185151,"14.280000000000001":15.4009434861,"14.290000000000001":13.2560991755,"14.3":10.8808157838,"14.31":8.3076107943,"14.32":5.6970058563,"14.33":3.1942166295,"14.34":0.948462273,"14.35":0.0,"14.36":0.0,"14.370000000000001":0.0642890696,"14.38":0.1444703041,"14.39":0.2433877997,"14.4":0.3717277651,"14.41":1.1010360013,"14.42":2.3878924825,"14.43":3.9270822131,"14.44":5.4802386371,"14.450000000000001":6.9267753762,"14.46":8.2261901257,"14.47":9.9925181861,"14.48":11.8607495737,"14.49":13.4834034225,"14.5":14.8701635653,"14.51":16.4575673282,"14.52":17.8922738797,"14.530000000000001":19.1636500649,"14.540000000000001":20.3140332311,"14.55":21.6108432221,"14.56":22.8503729634,"14.57":24.0761767222,"14.58":25.3307833197,"14.59":26.8645964847,"14.6":28.3696150928,"14.61":29.9472443816,"14.620000000000001":31.2889646682,"14.63":33.1776585325,"14.64":34.7689358336,"14.65":35.726946186,"14.66":37.3919313079,"14.67":38.3585792801,"14.68":38.9545902352,"14.69":38.4255265474,"14.700000000000001":37.9187248047,"14.71":37.40134035,"14.72":35.3202763997,"14.73":33.0510974865,"14.74":30.5815840917,"14.75":27.3430634128,"14.76":23.0348074493,"14.77":19.3976149124,"14.780000000000001":15.3916496307,"14.790000000000001":11.4140696249,"14.8":8.8863758018,"14.81":5.8796431072,"14.82":3.8500073641,"14.83":2.4727204879,"14.84":2.2076772929,"14.85":0.1358603619,"14.86":0.0,"14.870000000000001":0.0,"14.88":0.0,"14.89":0.0,"14.9":0.0,"14.91":0.0,"14.92":0.0,"14.93":0.0,"14.94":0.0,"14.950000000000001":0.0,"14.96":0.0,"14.97":0.0,"14.98":0.0,"14.99":0.0,"15.0":0.0,"15.01":0.0,"15.02":0.0,"15.030000000000001":0.0,"15.040000000000001":0.0,"15.05":0.0,"15.06":0.0,"15.07":0.0,"15.08":0.0,"15.09":0.0,"15.1":0.0,"15.11":0.0,"15.120000000000001":0.0,"15.13":0.0,"15.14":0.0,"15.15":0.0,"15.16":0.1313165602,"15.17":0.2238094726,"15.18":0.5538111523,"15.19":0.6838219612,"15.200000000000001":0.7952834735,"15.21":0.8662397757,"15.22":0.932426478,"15.23":0.9528759582,"15.24":0.9350802204,"15.25":0.8894955033,"15.26":0.8272001587,"15.27":0.7582980093,"15.280000000000001":0.6906193789,"15.290000000000001":0.6294367902,"15.3":0.5778537539,"15.31":0.5372793332,"15.32":0.5055706318,"15.33":0.4847497722,"15.34":0.4739963316,"15.35":0.4723962692,"15.36":0.4789593806,"15.370000000000001":0.4925698486,"15.38":0.5119197527,"15.39":0.5354430657,"15.4":0.5613070971,"15.41":0.5874698216,"15.42":0.6118327902,"15.43":0.633036389,"15.44":0.6507891105,"15.450000000000001":0.6625039803,"15.46":0.6864887237,"15.47":0.7293978478,"15.48":0.7669174781,"15.49":1.7468696132,"15.5":1.77948474,"15.51":1.8132955435,"15.52":1.8453130286,"15.530000000000001":1.8677921323,"15.540000000000001":1.8951275331,"15.55":1.925736767,"15.56":1.9557787791,"15.57":1.9817394745,"15.58":2.0180987535,"15.59":2.0605748415,"15.6":2.1054868382,"15.610000000000001":2.1529272805,"15.620000000000001":2.2100901183,"15.63":2.2643631452,"15.64":2.3239602406,"15.65":2.3859631755,"15.66":2.4478772296,"15.67":2.8709825781,"15.68":3.6164182471,"15.69":4.5046587835,"15.700000000000001":5.5259070635,"15.71":6.6685239941,"15.72":8.0263272825,"15.73":10.538825865,"15.74":13.1919453326,"15.75":16.5108778096,"15.76":20.0963249414,"15.77":24.2962485742,"15.780000000000001":28.7354097139,"15.790000000000001":33.373005144,"15.8":38.247264167,"15.81":43.9303115875,"15.82":49.5844152195,"15.83":54.6707272081,"15.84":59.0594045536,"15.85":62.7083216183,"15.860000000000001":65.6149062117,"15.870000000000001":67.7414257976,"15.88":69.0568614277,"15.89":69.5610038116,"15.9":69.2804503531,"15.91":68.2645153901,"15.92":66.5805489031,"15.93":64.308956572,"15.94":61.53862315,"15.950000000000001":58.3240283276,"15.96":54.6949720725,"15.97":50.6882697132,"15.98":46.3606136617,"15.99":41.9249231677,"16.0":37.7495674211,"16.01":34.0297717509,"16.02":30.3090994269,"16.03":26.6474905642,"16.04":23.062155855,"16.05":19.5560162235,"16.06":16.2213605853,"16.07":13.276073089,"16.080000000000002":10.5047785545,"16.09":8.0996764195,"16.1":6.4378341151,"16.11":4.7574628645,"16.12":3.146096071,"16.13":1.9997392702,"16.14":1.8040045442,"16.15":0.6869871132,"16.16":0.5226716878,"16.17":0.3789817675,"16.18":0.2544648765,"16.19":0.1514306896,"16.2":0.3094877986,"16.21":1.140291424,"16.22":2.5960933735,"16.23":4.1278142654,"16.240000000000002":5.5692503456,"16.25":6.8492130745,"16.26":7.942609548,"16.27":8.838664986,"16.28":9.5353006731,"16.29":9.994614518,"16.3":10.1988411905,"16.31":10.1193968862,"16.32":9.7736088981,"16.330000000000002":9.1685400806,"16.34":8.3375011544,"16.35":7.2937274539,"16.36":6.0453342065,"16.37":4.7762609439,"16.38":3.5299008272,"16.39":2.3647254017,"16.4":1.3868236872,"16.41":0.7885558876,"16.42":0.5732813736,"16.43":1.5841260202,"16.44":1.7319839532,"16.45":1.8874021969,"16.46":2.020195043,"16.47":2.1556852077,"16.48":2.2677596336,"16.490000000000002":2.5216482781,"16.5":3.4054345456,"16.51":4.2962370757,"16.52":5.1432462885,"16.53":5.9233278532,"16.54":6.6168343247,"16.55":7.2146661662,"16.56":7.7150530531,"16.57":8.1153842101,"16.580000000000002":8.4142151037,"16.59":8.6107270558,"16.6":8.7210314213,"16.61":8.7432203814,"16.62":8.6675207186,"16.63":8.4927660225,"16.64":8.2201926966,"16.65":7.8400767266,"16.66":7.3744796846,"16.67":6.848765717,"16.68":6.2019323228,"16.69":5.427712701,"16.7":4.5895479764,"16.71":3.7214284215,"16.72":2.8264646795,"16.73":2.0132003585,"16.740000000000002":1.2918915095,"16.75":0.6106466489,"16.76":0.1299651077,"16.77":0.0,"16.78":0.0,"16.79":0.0,"16.8":0.0,"16.81":0.0,"16.82":0.0,"16.830000000000002":0.0,"16.84":0.0754245907,"16.85":0.9050676527,"16.86":2.1786673093,"16.87":3.529505558,"16.88":4.8074953982,"16.89":6.2243498149,"16.9":7.5175504486,"16.91":8.6239545035,"16.92":9.5089982293,"16.93":10.4579062379,"16.94":11.306697176,"16.95":11.8062523561,"16.96":11.9415997895,"16.97":11.757634991,"16.98":13.3931134463,"16.990000000000002":12.557332943,"17.0":11.476522784,"17.01":10.2181087661,"17.02":8.7687985775,"17.03":7.5464651483,"17.04":6.3154972555,"17.05":5.1262316885,"17.06":4.1407181453,"17.07":3.3277427745,"17.080000000000002":2.6659806939,"17.09":2.1485451046,"17.1":1.9836243054,"17.11":2.0140819695,"17.12":2.035001799,"17.13":2.0511331524,"17.14":2.0490281619,"17.150000000000002":2.0383995747,"17.16":2.0205194275,"17.17":1.9945678607,"17.18":1.9571455224,"17.19":1.9174080798,"17.2":1.8805947362,"17.21":1.8284726319,"17.22":1.7785762755,"17.23":1.7366028717,"17.240000000000002":1.6772633853,"17.25":0.7042902386,"17.26":0.6554236372,"17.27":0.6092469966,"17.28":0.5641645671,"17.29":0.5283716299,"17.3":0.5002941397,"17.31":0.4786428819,"17.32":0.4627922217,"17.330000000000002":0.4521066328,"17.34":0.5070258964,"17.35":0.6828582635,"17.36":0.9464930896,"17.37":1.3076076566,"17.38":1.7449812606,"17.39":2.2530111483,"17.400000000000002":2.8031343271,"17.41":3.3880213007,"17.42":3.9935222234,"17.43":4.607549964,"17.44":5.2199776893,"17.45":5.825982841,"17.46":6.4323178327,"17.47":7.0537566821,"17.48":7.6947725205,"17.490000000000002":8.6831959076,"17.5":9.8016355332,"17.51":10.920943672,"17.52":12.0569124511,"17.53":13.2164208047,"17.54":14.4231403049,"17.55":15.9723573455,"17.56":17.5843863684,"17.57":19.2447474034,"17.580000000000002":21.0699077241,"17.59":23.1415764747,"17.6":25.2391867747,"17.61":27.5228426487,"17.62":29.8632355975,"17.63":32.3430315737,"17.64":34.8157096307,"17.650000000000002":37.4136066367,"17.66":39.9856946136,"17.67":42.7643664407,"17.68":45.5323827147,"17.69":48.2152676914,"17.7":50.6601505283,"17.71":52.7234056309,"17.72":54.4471789632,"17.73":55.837915498,"17.740000000000002":56.8707633912,"17.75":57.5235288551,"17.76":57.7797826686,"17.77":57.631121022,"17.78":57.0741280804,"17.79":56.1132138783,"17.8":54.7374832731,"17.81":52.8365923552,"17.82":50.4389358937,"17.830000000000002":47.5863745382,"17.84":44.3941002302,"17.85":41.0223003556,"17.86":37.6503219076,"17.87":34.2041496846,"17.88":30.6347713846,"17.89":27.0789199987,"17.900000000000002":23.5100531422,"17.91":19.9353165011,"17.92":16.5629063813,"17.93":13.5115042284,"17.94":10.6345626089,"17.95":8.1390110688,"17.96":6.4581245472,"17.97":4.743378034,"17.98":3.0884317231,"17.990000000000002":1.6707907743,"18.0":0.7131017608,"18.01":0.4706390351,"18.02":0.348907161,"18.03":0.2378667576,"18.04":0.1497310957,"18.05":0.09178957,"18.06":0.0425928399,"18.07":0.1868940604,"18.080000000000002":0.8730050772,"18.09":2.0294490523,"18.1":3.1293370755,"18.11":4.1822483035,"18.12":5.0650381756,"18.13":5.8821189838,"18.14":6.4791836276,"18.150000000000002":6.8651598876,"18.16":7.0072019261,"18.17":6.9000710214,"18.18":6.5478159748,"18.19":5.9814852684,"18.2":5.2128894029,"18.21":4.2509717588,"18.22":3.1196693012,"18.23":1.86389772,"18.240000000000002":0.6161296477,"18.25":0.0,"18.26":0.0,"18.27":0.0,"18.28":0.0,"18.29":0.0,"18.3":0.0083400974,"18.31":0.0725377166,"18.32":0.1375102456,"18.330000000000002":0.2117511693,"18.34":0.5829494976,"18.35":1.3669518481,"18.36":2.3898394263,"18.37":3.4992768081,"18.38":4.5927517554,"18.39":5.6333046402,"18.400000000000002":6.5721804194,"18.41":7.3838817889,"18.42":8.0665459115,"18.43":8.6043005491,"18.44":9.2191160208,"18.45":9.6647095372,"18.46":9.865903739,"18.47":9.8061446239,"18.48":9.5161049675,"18.490000000000002":9.0025584559,"18.5":8.492396106,"18.51":7.97524159,"18.52":7.3539242286,"18.53":6.6398898205,"18.54":5.8489010688,"18.55":5.0033087604,"18.56":4.1332619796,"18.57":3.2760607423,"18.580000000000002":2.4684320653,"18.59":2.0489987212,"18.6":1.9798829678,"18.61":1.9127315355,"18.62":1.8490140943,"18.63":1.796040519,"18.64":1.7480225819,"18.650000000000002":1.7057588382,"18.66":1.6700924904,"18.67":1.6417546172,"18.68":1.6212650925,"18.69":1.6089857562,"18.7":1.6064074212,"18.71":1.6132146858,"18.72":1.6341105771,"18.73":1.6632449129,"18.740000000000002":1.699645202,"18.75":1.7328302755,"18.76":1.7656944303,"18.77":1.8051481908,"18.78":1.8543982775,"18.79":1.9048870173,"18.8":1.9552256341,"18.81":2.0041183987,"18.82":2.0463451061,"18.830000000000002":2.0886001106,"18.84":2.1269497868,"18.85":2.1606979299,"18.86":2.1893105353,"18.87":2.212471469,"18.88":2.230957022,"18.89":2.2443760325,"18.900000000000002":2.2525929404,"18.91":2.2506715831,"18.92":2.2439863411,"18.93":2.3075224254,"18.94":2.3441077551,"18.95":2.3479223624,"18.96":2.3251657404,"18.97":2.2832253364,"18.98":2.229946426,"18.990000000000002":2.1784003191,"19.0":2.1532747167,"19.01":2.1505800034,"19.02":2.1528209792,"19.03":2.157634899,"19.04":2.1666439546,"19.05":2.1797531026,"19.06":2.196757797,"19.07":2.217290958,"19.080000000000002":2.246726042,"19.09":2.3159451135,"19.1":2.4091527223,"19.11":2.5098436752,"19.12":2.6221159941,"19.13":2.7323319672,"19.14":2.8317830716,"19.150000000000002":2.9272601132,"19.16":3.0221480308,"19.17":3.1016681301,"19.18":3.1737355187,"19.19":3.239929372,"19.2":3.3019931436,"19.21":3.3624774574,"19.22":3.4244421019,"19.23":3.491439087,"19.240000000000002":3.5673478066,"19.25":3.6560625794,"19.26":3.7614439075,"19.27":3.8845718291,"19.28":4.0231878881,"19.29":4.1930722455,"19.3":4.3896075465,"19.31":4.5995718222,"19.32":4.8322530167,"19.330000000000002":5.0951843815,"19.34":5.3705470914,"19.35":5.6458613166,"19.36":5.926776115,"19.37":6.211943414,"19.38":6.4861911369,"19.39":6.7288758834,"19.400000000000002":6.945200544,"19.41":7.1322179026,"19.42":7.2859968647,"19.43":7.3984867093,"19.44":7.4664712488,"19.45":7.4843414819,"19.46":7.4546242077,"19.47":7.3790548359,"19.48":7.257987084,"19.490000000000002":7.092507912,"19.5":6.8837395684,"19.51":6.6331220072,"19.52":6.3415269942,"19.53":6.0102826124,"19.54":5.6406486199,"19.55":5.2333056824,"19.56":4.7888749138,"19.57":4.3092891876,"19.580000000000002":3.7977578562,"19.59":3.2593801945,"19.6":2.707228654,"19.61":2.1508985068,"19.62":1.859254959,"19.63":1.7829370312,"19.64":0.7856254566,"19.650000000000002":0.6659434936,"19.66":0.5813687149,"19.67":0.4986443253,"19.68":0.4175436513,"19.69":0.337891504,"19.7":0.261243961,"19.71":0.1891774375,"19.72":0.1314243422,"19.73":0.0905405509,"19.740000000000002":0.1602192964,"19.75":0.4512406297,"19.76":1.0581480849,"19.77":1.7642695678,"19.78":2.4824890318,"19.79":3.2418322666,"19.8":3.8820247684,"19.81":4.3752550634,"19.82":4.689998606,"19.830000000000002":4.8432966851,"19.84":4.8952721393,"19.85":4.8001657524,"19.86":4.531682475,"19.87":4.0968167481,"19.88":3.5068936662,"19.89":2.7769392197,"19.900000000000002":1.935771416,"19.91":1.0510021193,"19.92":0.198096291,"19.93":0.0,"19.94":0.0,"19.95":0.0,"19.96":0.0,"19.97":0.0,"19.98":0.0,"19.990000000000002":0.0},"8":{"1.5":16.7355997287,"1.51":16.7789721962,"1.52":16.8237206949,"1.53":16.8676103002,"1.54":16.9154068227,"1.55":16.9451717001,"1.56":16.954253743,"1.57":16.9377809837,"1.58":16.8903033621,"1.59":16.8181520441,"1.6":16.7259069298,"1.61":16.6031071774,"1.62":16.4569445124,"1.6300000000000001":16.3085028529,"1.6400000000000001":16.1348808742,"1.6500000000000001":15.9152634191,"1.6600000000000001":15.6536040453,"1.67":15.3741341639,"1.68":15.0793070517,"1.69":14.7542167203,"1.7":14.4108246829,"1.71":14.0510161244,"1.72":13.6951208392,"1.73":13.3277456886,"1.74":12.8955209033,"1.75":12.4267987309,"1.76":11.9230106915,"1.77":11.3855800874,"1.78":10.8167151138,"1.79":10.1935680376,"1.8":9.3330339505,"1.81":8.4408232157,"1.82":7.8369449553,"1.83":7.6014212238,"1.84":7.5216165116,"1.85":7.3818733271,"1.86":7.1054802795,"1.87":6.8514836677,"1.8800000000000001":6.5754566658,"1.8900000000000001":6.3249094353,"1.9000000000000001":6.097072179,"1.9100000000000001":5.8988588139,"1.92":5.7167734699,"1.93":5.5715045312,"1.94":5.455297956,"1.95":5.3732550023,"1.96":5.3318790265,"1.97":5.323904722,"1.98":5.3547067343,"1.99":5.4244334539,"2.0":5.5320388252,"2.0100000000000002":5.6753923145,"2.02":5.8504623425,"2.0300000000000002":6.0474656946,"2.04":6.2691853216,"2.05":6.5085595126,"2.06":6.7563590672,"2.07":7.0104270515,"2.08":7.2468543417,"2.09":7.4686850576,"2.1":7.5061399453,"2.11":7.5081292412,"2.12":7.509843518,"2.13":7.5578329974,"2.14":7.5882118499,"2.15":7.662178234,"2.16":7.744044429,"2.17":7.8786861665,"2.18":8.1594394299,"2.19":8.519201575,"2.2":8.9821852541,"2.21":10.0264720871,"2.22":10.5500803382,"2.23":11.0688194982,"2.24":11.5765240197,"2.25":12.0754781358,"2.2600000000000002":12.5640447857,"2.27":12.7079708314,"2.2800000000000002":12.8386790845,"2.29":13.1296164755,"2.3000000000000003":13.4076293404,"2.31":13.7950729885,"2.32":14.3533615189,"2.33":14.6594758177,"2.34":15.3952955025,"2.35":15.3650527202,"2.36":16.2070789835,"2.37":16.1814046116,"2.38":16.6213680473,"2.39":17.4284337554,"2.4":18.1872492698,"2.41":18.8205232926,"2.42":19.6290695185,"2.43":20.6017392277,"2.44":21.3736289313,"2.45":23.2527826761,"2.46":24.973620819,"2.47":27.0152306807,"2.48":30.0329427514,"2.49":33.2840120226,"2.5":37.2095905467,"2.5100000000000002":43.5515626503,"2.52":50.4070158206,"2.5300000000000002":56.6339673659,"2.54":62.9957928925,"2.5500000000000003":69.3773917673,"2.56":75.7734755505,"2.57":82.3974748637,"2.58":89.1411234499,"2.59":95.9348864699,"2.6":102.6777345773,"2.61":109.2624428067,"2.62":115.5792793897,"2.63":121.5188201077,"2.64":126.9748365702,"2.65":131.847165156,"2.66":136.044462674,"2.67":139.4867574257,"2.68":142.1077102505,"2.69":143.8565091232,"2.7":144.6993326031,"2.71":144.6203314212,"2.72":143.6220933343,"2.73":141.7255732805,"2.74":138.9694885794,"2.75":135.4091964175,"2.7600000000000002":131.1150878113,"2.77":126.1705479625,"2.7800000000000002":120.6695469479,"2.79":114.7139363526,"2.8000000000000003":108.4105367622,"2.81":101.8681073615,"2.82":95.1942920856,"2.83":88.4926371397,"2.84":81.8597717231,"2.85":75.3828380486,"2.86":69.1372480767,"2.87":63.1848330223,"2.88":57.5635143288,"2.89":52.2958623703,"2.9":47.3006723693,"2.91":42.6462457561,"2.92":35.5650137666,"2.93":31.6567152301,"2.94":28.0007842878,"2.95":24.8362777245,"2.96":22.2058670955,"2.97":20.0057460529,"2.98":17.9521845136,"2.99":16.0670403081,"3.0":14.4183918298,"3.0100000000000002":13.0386917462,"3.02":11.8644316704,"3.0300000000000002":10.4861020088,"3.04":8.8935652083,"3.0500000000000003":7.5736697058,"3.06":7.2067916575,"3.0700000000000003":7.0861874167,"3.08":7.0942275397,"3.09":7.2354028762,"3.1":7.4100325498,"3.11":7.5994164714,"3.12":7.8049358554,"3.13":8.0312740569,"3.14":8.2672634283,"3.15":8.8925679202,"3.16":8.6645781198,"3.17":8.4564074181,"3.18":7.4573497317,"3.19":7.0164562318,"3.2":6.8263412907,"3.21":6.8981738279,"3.22":6.9841108465,"3.23":7.0654647727,"3.24":7.1325540778,"3.25":7.1808941642,"3.2600000000000002":7.2082019537,"3.27":7.2150682309,"3.2800000000000002":7.2044595927,"3.29":7.1820643337,"3.3000000000000003":7.158789846,"3.31":7.1501078381,"3.3200000000000003":7.1950371862,"3.33":7.3954930269,"3.34":7.7988307067,"3.35":7.5339394464,"3.36":6.9710799116,"3.37":6.230175575,"3.38":5.4375224003,"3.39":4.5917710638,"3.4":3.7559529463,"3.41":3.0144812558,"3.42":2.3580626238,"3.43":1.7786570181,"3.44":1.2551343747,"3.45":0.8008323462,"3.46":0.4098874489,"3.47":0.1061613297,"3.48":0.0,"3.49":0.0,"3.5":0.0,"3.5100000000000002":0.0,"3.52":0.0,"3.5300000000000002":0.0,"3.54":0.2791663125,"3.5500000000000003":0.6363065296,"3.56":1.0182259059,"3.5700000000000003":0.9380982472,"3.58":1.3548932716,"3.59":1.8157308325,"3.6":2.319868041,"3.61":2.9147242137,"3.62":3.5887540698,"3.63":4.3484877026,"3.64":5.1749299446,"3.65":6.0662683315,"3.66":7.0129920683,"3.67":8.0106434035,"3.68":8.975642883,"3.69":9.6718936251,"3.7":10.3289544791,"3.71":10.915296333,"3.72":11.4227134681,"3.73":11.6056869079,"3.74":11.8148975848,"3.75":12.0194246385,"3.7600000000000002":11.8718920191,"3.77":12.0461229989,"3.7800000000000002":11.8439615839,"3.79":8.9231440329,"3.8000000000000003":6.2524840711,"3.81":5.2731717362,"3.8200000000000003":4.5293045111,"3.83":4.0819715339,"3.84":3.979044663,"3.85":4.2144216339,"3.86":4.7411498438,"3.87":5.4774763386,"3.88":6.3553407022,"3.89":8.214349554,"3.9":10.7876792448,"3.91":10.9933772633,"3.92":10.8576673111,"3.93":10.7604439213,"3.94":11.0077894028,"3.95":11.3850835305,"3.96":11.6764922144,"3.97":11.8819467486,"3.98":11.5763858243,"3.99":11.7667638072,"4.0":12.0127817952,"4.01":12.3000517885,"4.0200000000000005":12.6288665159,"4.03":12.8660813655,"4.04":13.1610523271,"4.05":13.5889876741,"4.0600000000000005":14.2937610192,"4.07":15.2053310975,"4.08":16.2874526547,"4.09":17.5220365141,"4.1":18.9378880361,"4.11":20.6412627716,"4.12":22.4776585851,"4.13":24.269645059,"4.14":26.0610117137,"4.15":27.6648484184,"4.16":28.7540402829,"4.17":29.6852809731,"4.18":30.5614420426,"4.19":31.3096934094,"4.2":31.9790672996,"4.21":32.5754829908,"4.22":33.1034750347,"4.23":33.5656506583,"4.24":33.9623885281,"4.25":34.2917024842,"4.26":34.549282607,"4.2700000000000005":34.7287300264,"4.28":34.821993121,"4.29":34.8199878715,"4.3":34.7133799316,"4.3100000000000005":34.493493799,"4.32":34.1533058869,"4.33":33.6884702147,"4.34":33.098320056,"4.3500000000000005":32.3867504814,"4.36":31.4318320803,"4.37":30.6191027821,"4.38":29.5105960473,"4.39":28.3492608113,"4.4":27.1757008682,"4.41":26.0286562243,"4.42":24.9537026401,"4.43":23.7253869539,"4.44":22.0936484133,"4.45":20.7663112473,"4.46":20.1150933893,"4.47":20.2247816502,"4.48":20.8960451191,"4.49":22.0135792697,"4.5":23.5626545924,"4.51":25.5608908737,"4.5200000000000005":27.9038335442,"4.53":30.4647119522,"4.54":33.1628619387,"4.55":35.8916558401,"4.5600000000000005":38.5339780348,"4.57":41.593504431,"4.58":44.8412203247,"4.59":48.5515919558,"4.6000000000000005":52.2080517753,"4.61":55.9096779608,"4.62":59.5798311143,"4.63":62.9594317439,"4.64":66.7820141714,"4.65":70.0252076072,"4.66":72.9611636749,"4.67":75.6418520052,"4.68":78.492867222,"4.69":82.0073600618,"4.7":84.0300751194,"4.71":85.1869335564,"4.72":86.0445444203,"4.73":84.5136304096,"4.74":82.6417154063,"4.75":80.1616814413,"4.76":77.0921395473,"4.7700000000000005":73.0854637186,"4.78":68.0673857623,"4.79":62.2577445989,"4.8":55.2880997674,"4.8100000000000005":49.5551403083,"4.82":44.1837091736,"4.83":37.0410844547,"4.84":32.8902459545,"4.8500000000000005":29.2165730188,"4.86":25.2653279042,"4.87":21.0082976202,"4.88":17.9295281556,"4.89":15.2912323698,"4.9":12.5890405532,"4.91":10.6654073154,"4.92":8.5455693442,"4.93":6.4383560189,"4.94":4.2565467087,"4.95":1.7338532584,"4.96":0.2769915001,"4.97":0.0,"4.98":0.0,"4.99":0.0,"5.0":0.0,"5.01":0.0,"5.0200000000000005":0.0,"5.03":0.0,"5.04":0.0,"5.05":0.0,"5.0600000000000005":0.0,"5.07":0.0,"5.08":0.0,"5.09":0.0,"5.1000000000000005":0.0,"5.11":0.0,"5.12":0.0,"5.13":0.0,"5.14":0.9620029856,"5.15":3.0407671241,"5.16":6.2582621708,"5.17":9.0013320513,"5.18":10.6317161878,"5.19":12.9470562147,"5.2":14.9300349454,"5.21":17.3432988854,"5.22":19.4784405877,"5.23":22.3117684912,"5.24":25.788025598,"5.25":29.6481036026,"5.26":34.7719120791,"5.2700000000000005":38.9420788082,"5.28":41.8488078835,"5.29":44.7266938458,"5.3":47.188125551,"5.3100000000000005":49.3718595955,"5.32":51.23080359,"5.33":52.7183503709,"5.34":53.7863635269,"5.3500000000000005":54.3864223833,"5.36":54.3669074854,"5.37":53.7642842466,"5.38":52.8503242223,"5.39":50.9537976137,"5.4":48.3626469614,"5.41":45.0528777999,"5.42":40.0710083179,"5.43":33.5069752789,"5.44":27.5594647855,"5.45":22.952221687,"5.46":19.1430694171,"5.47":16.18443261,"5.48":13.3332736718,"5.49":10.5808407342,"5.5":8.371626725,"5.51":7.6786686247,"5.5200000000000005":7.0877167821,"5.53":6.6512231919,"5.54":6.2989634908,"5.55":6.0007734916,"5.5600000000000005":5.7498738231,"5.57":5.5474984941,"5.58":5.3979976462,"5.59":5.3044782272,"5.6000000000000005":5.2634853336,"5.61":5.3310299547,"5.62":4.981827624,"5.63":4.7587166838,"5.64":4.6551058381,"5.65":4.6661287148,"5.66":4.7848134246,"5.67":5.0023698248,"5.68":5.3086024062,"5.69":5.6922892817,"5.7":6.1414308538,"5.71":6.643818355,"5.72":7.1923208787,"5.73":7.7797022818,"5.74":8.0986036325,"5.75":8.3717707632,"5.76":8.52973304,"5.7700000000000005":8.3414844219,"5.78":8.1563348148,"5.79":7.9681195386,"5.8":7.7022256439,"5.8100000000000005":7.3806628176,"5.82":7.1198636613,"5.83":6.8815039677,"5.84":7.1610188524,"5.8500000000000005":7.7120978479,"5.86":8.3993000451,"5.87":9.2430565774,"5.88":10.1668204394,"5.89":11.221465012,"5.9":12.3817498042,"5.91":13.3779019519,"5.92":14.281501743,"5.93":14.9148287496,"5.94":14.6986909138,"5.95":14.1033916488,"5.96":13.7632561579,"5.97":13.6490999921,"5.98":13.6783059684,"5.99":13.8245564899,"6.0":14.0881221897,"6.01":14.4023148046,"6.0200000000000005":14.6461077335,"6.03":15.1148793317,"6.04":15.8654549329,"6.05":17.0245076252,"6.0600000000000005":17.7643686723,"6.07":18.6785546572,"6.08":19.7017823301,"6.09":21.1373694485,"6.1000000000000005":24.1122853806,"6.11":31.5397444442,"6.12":41.0631146147,"6.13":52.6411702227,"6.140000000000001":54.5515884549,"6.15":55.7842544073,"6.16":55.542110003,"6.17":54.5479974595,"6.18":53.4586860269,"6.19":52.3288084648,"6.2":51.1872350328,"6.21":50.0473029738,"6.22":48.9154989059,"6.23":47.7894886689,"6.24":46.6614402029,"6.25":45.5213629587,"6.26":44.3531836371,"6.2700000000000005":43.136773597,"6.28":41.8497674227,"6.29":40.4692730501,"6.3":38.9734880037,"6.3100000000000005":37.3430908551,"6.32":35.5620458065,"6.33":33.6189447273,"6.34":31.3893666656,"6.3500000000000005":28.6669979571,"6.36":24.8078348861,"6.37":21.5059530073,"6.38":19.0055072915,"6.390000000000001":16.9916514599,"6.4":15.3497646178,"6.41":14.1308100655,"6.42":13.1477368138,"6.43":12.5834603874,"6.44":12.2174346176,"6.45":11.6186116327,"6.46":11.1112921152,"6.47":10.6244279666,"6.48":10.1434908845,"6.49":9.5941291642,"6.5":9.24988816,"6.51":9.1263271187,"6.5200000000000005":9.1242129285,"6.53":9.1960032368,"6.54":9.3274904796,"6.55":9.5052637684,"6.5600000000000005":9.7199097164,"6.57":9.9600841038,"6.58":10.2070280065,"6.59":10.4394822762,"6.6000000000000005":10.6257371743,"6.61":10.7474408054,"6.62":10.779180369,"6.63":10.7249538527,"6.640000000000001":10.5790804451,"6.65":10.357106424,"6.66":10.077405344,"6.67":9.7813236622,"6.68":9.4713886869,"6.69":9.158140043,"6.7":8.8486044075,"6.71":8.5306594917,"6.72":8.2195036458,"6.73":7.9123600942,"6.74":7.6696114843,"6.75":7.4978322459,"6.76":7.3352790167,"6.7700000000000005":7.1855655738,"6.78":7.0522311707,"6.79":6.9411105119,"6.8":6.8722721656,"6.8100000000000005":6.8224379889,"6.82":6.7943101456,"6.83":6.7905183194,"6.84":6.8188587288,"6.8500000000000005":6.8778899327,"6.86":6.973451297,"6.87":7.1272362395,"6.88":7.3390969246,"6.890000000000001":7.9780424395,"6.9":8.4381482857,"6.91":9.1665905181,"6.92":10.5530535837,"6.93":12.1098050494,"6.94":13.7729790567,"6.95":15.3940351491,"6.96":17.2059665469,"6.97":19.6251893704,"6.98":22.6825662225,"6.99":26.2181158425,"7.0":30.1920530971,"7.01":34.8046094865,"7.0200000000000005":39.7841162504,"7.03":44.6306133574,"7.04":49.2623984265,"7.05":53.4074894603,"7.0600000000000005":56.8253301243,"7.07":59.3950168037,"7.08":61.0525615524,"7.09":61.7322371451,"7.1000000000000005":61.4687498595,"7.11":60.3791429727,"7.12":58.503965546,"7.13":55.8237141994,"7.140000000000001":52.591308019,"7.15":49.0917809508,"7.16":45.5492221618,"7.17":41.8921753342,"7.18":38.2140223134,"7.19":34.6415496874,"7.2":31.4036794794,"7.21":28.7758801213,"7.22":26.2283528489,"7.23":23.4910382837,"7.24":20.7850643125,"7.25":17.9815274887,"7.26":14.7648191771,"7.2700000000000005":13.2623198445,"7.28":12.5216608904,"7.29":11.9232593126,"7.3":11.3676196367,"7.3100000000000005":10.911823584,"7.32":10.4773373335,"7.33":10.0886627386,"7.34":9.7262228929,"7.3500000000000005":9.3925774295,"7.36":9.0858555612,"7.37":8.8125913077,"7.38":8.5661055834,"7.390000000000001":8.3506852105,"7.4":8.1768401968,"7.41":8.0620724401,"7.42":7.9704439487,"7.43":8.0024945198,"7.44":7.9951553223,"7.45":8.6763768849,"7.46":10.153759919,"7.47":11.3565365087,"7.48":12.3231407536,"7.49":13.2831656438,"7.5":13.6380447155,"7.51":14.1763905072,"7.5200000000000005":15.0940349639,"7.53":16.4430237411,"7.54":17.4226840045,"7.55":18.900841629,"7.5600000000000005":20.0859526239,"7.57":21.8210692885,"7.58":23.1872378584,"7.59":24.9167537247,"7.6000000000000005":26.9167794014,"7.61":28.9525985716,"7.62":30.845235731,"7.63":32.6636986382,"7.640000000000001":34.6486667923,"7.65":36.1104542759,"7.66":37.3622933005,"7.67":38.5283082927,"7.68":39.7931308237,"7.69":40.8898619453,"7.7":41.9103740752,"7.71":42.8409204485,"7.72":43.668174997,"7.73":44.3800417775,"7.74":44.9663699019,"7.75":45.4195478164,"7.76":45.7349629033,"7.7700000000000005":45.911330739,"7.78":47.5583877404,"7.79":47.886640607,"7.8":45.698951469,"7.8100000000000005":45.3240401181,"7.82":44.9081467182,"7.83":44.4166099227,"7.84":43.8693316054,"7.8500000000000005":43.2874331559,"7.86":42.6923770256,"7.87":42.1046121347,"7.88":41.5437224627,"7.890000000000001":41.0350685557,"7.9":40.5980835453,"7.91":40.2486206496,"7.92":39.9555073046,"7.930000000000001":39.683066323,"7.94":38.5079794802,"7.95":36.3064873921,"7.96":33.9673246076,"7.97":27.7564128982,"7.98":19.860835516,"7.99":15.7856522837,"8.0":13.5581716893,"8.01":12.2768114939,"8.02":11.2615035303,"8.03":10.4139596256,"8.040000000000001":9.713425992,"8.05":9.1553003834,"8.06":8.7336601712,"8.07":8.4261571859,"8.08":8.2652407897,"8.09":8.2588567572,"8.1":8.4172429245,"8.11":8.7510848169,"8.120000000000001":9.1797591885,"8.13":9.744308671,"8.14":10.8805876004,"8.15":12.4740405471,"8.16":14.6438990173,"8.17":17.2989947315,"8.18":18.5043107236,"8.19":23.1210399918,"8.2":23.1059296178,"8.21":22.3230402194,"8.22":22.4305904545,"8.23":21.1380895486,"8.24":20.6246545619,"8.25":20.1065207181,"8.26":19.5095668872,"8.27":18.7881091414,"8.28":17.9678211633,"8.290000000000001":17.1463027319,"8.3":16.3648444189,"8.31":15.5815518366,"8.32":14.8362944882,"8.33":14.1953035009,"8.34":13.6449923221,"8.35":13.1685603188,"8.36":12.7481716931,"8.370000000000001":12.3627442377,"8.38":11.9825156129,"8.39":11.5608741635,"8.4":11.151096214,"8.41":10.7949927864,"8.42":10.3805501965,"8.43":9.8605519029,"8.44":9.4486628624,"8.45":8.8638461812,"8.46":8.8346191924,"8.47":9.2142517317,"8.48":9.5871373799,"8.49":10.0103560437,"8.5":10.3061534406,"8.51":10.597597413,"8.52":10.9175751727,"8.53":11.2199012204,"8.540000000000001":11.4431658999,"8.55":11.6196664456,"8.56":11.7530261039,"8.57":11.8012159137,"8.58":11.7703955696,"8.59":11.7020994133,"8.6":11.5523740489,"8.61":11.6060694721,"8.620000000000001":11.6519033189,"8.63":11.8205834601,"8.64":11.982636933,"8.65":12.3941180644,"8.66":11.7270200411,"8.67":11.0423257866,"8.68":11.3796227408,"8.69":11.2886740758,"8.700000000000001":11.1262002708,"8.71":11.4534523872,"8.72":10.518923135,"8.73":10.1111926469,"8.74":9.7850217917,"8.75":9.3982536081,"8.76":9.2226993231,"8.77":9.1273034861,"8.78":9.0630321072,"8.790000000000001":9.0268299418,"8.8":8.9973867979,"8.81":8.9740666483,"8.82":8.9414504231,"8.83":8.9178942367,"8.84":8.9692720174,"8.85":9.3514497719,"8.86":9.6042216571,"8.870000000000001":9.9519121299,"8.88":10.4985880068,"8.89":11.6859144045,"8.9":13.4434340582,"8.91":14.9873927293,"8.92":16.4711810187,"8.93":17.7604330823,"8.94":19.0784366404,"8.950000000000001":20.597520894,"8.96":22.4922081688,"8.97":24.564165793,"8.98":26.8175211435,"8.99":29.2636596078,"9.0":32.0485535769,"9.01":35.1980949459,"9.02":38.2133939919,"9.03":41.5016652292,"9.040000000000001":43.6870025192,"9.05":45.4778580634,"9.06":46.8423571598,"9.07":47.9870386458,"9.08":48.9204808693,"9.09":49.657438534,"9.1":50.2159370946,"9.11":50.616197335,"9.120000000000001":50.8802793258,"9.13":51.0315611977,"9.14":51.0940682774,"9.15":51.0917304649,"9.16":51.0476175789,"9.17":50.9831943179,"9.18":50.9176225539,"9.19":50.8671635824,"9.200000000000001":50.8447233184,"9.21":50.8596346058,"9.22":50.9177022173,"9.23":51.0208594116,"9.24":51.166815421,"9.25":51.3497608105,"9.26":51.560813202,"9.27":51.7885864377,"9.28":52.0198558194,"9.290000000000001":52.2402875569,"9.3":52.4351975539,"9.31":52.5903033137,"9.32":52.6924331427,"9.33":52.7301589229,"9.34":52.6943224747,"9.35":52.5784307104,"9.36":52.3789011959,"9.370000000000001":52.0951470319,"9.38":51.7294978762,"9.39":51.2869619611,"9.4":50.774624876,"9.41":50.2016320725,"9.42":49.5782800823,"9.43":48.915354637,"9.44":48.223453165,"9.450000000000001":47.5122680281,"9.46":46.78991095,"9.47":46.0623081961,"9.48":45.3326902133,"9.49":44.6009039807,"9.5":43.7654248358,"9.51":42.875323073,"9.52":42.2986267304,"9.53":41.4865862597,"9.540000000000001":40.5554998532,"9.55":39.1603052103,"9.56":37.4244981656,"9.57":35.7246981209,"9.58":33.5603585854,"9.59":31.173230766,"9.6":29.2661029977,"9.61":27.6388061432,"9.620000000000001":25.7055746847,"9.63":24.7039707167,"9.64":23.3108444645,"9.65":21.8583928587,"9.66":21.2189511459,"9.67":19.6717372416,"9.68":18.0692811834,"9.69":15.9403981646,"9.700000000000001":13.4618224739,"9.71":10.7626442793,"9.72":6.7063621116,"9.73":3.8483240889,"9.74":1.6918280114,"9.75":0.5144595145,"9.76":0.0273811695,"9.77":0.0,"9.78":0.0,"9.790000000000001":0.0,"9.8":0.1237264351,"9.81":1.0313242914,"9.82":3.1808907557,"9.83":3.8995783694,"9.84":5.6153866426,"9.85":10.205035485,"9.86":10.9084143554,"9.870000000000001":10.6098358333,"9.88":10.4758234989,"9.89":10.4235784409,"9.9":10.3870845601,"9.91":10.405069142,"9.92":10.4428809707,"9.93":10.7748479224,"9.94":10.8725320228,"9.950000000000001":11.17203082,"9.96":11.705787759,"9.97":12.3533939094,"9.98":12.9158993526,"9.99":13.4221572347,"10.0":13.7290259069,"10.01":14.1192362295,"10.02":14.5655199944,"10.03":15.0501599881,"10.040000000000001":15.581616433,"10.05":16.1588671679,"10.06":16.8954338168,"10.07":17.6227206394,"10.08":18.3306491991,"10.09":18.9442946002,"10.1":19.4355326028,"10.11":19.784012789,"10.120000000000001":19.9641451289,"10.13":19.9478713438,"10.14":19.7306584401,"10.15":19.3616444937,"10.16":18.8765488323,"10.17":18.2584076052,"10.18":17.6430857296,"10.19":17.01150389,"10.200000000000001":16.3676630542,"10.21":15.7670604581,"10.22":15.2205655277,"10.23":15.0365706588,"10.24":14.4792051236,"10.25":13.9430491313,"10.26":13.438950383,"10.27":12.9771854093,"10.28":12.5685976412,"10.290000000000001":12.1137350371,"10.3":11.4839380604,"10.31":11.2919829697,"10.32":11.1782486755,"10.33":11.1345062823,"10.34":11.1337960092,"10.35":11.1753819384,"10.36":11.2509608786,"10.370000000000001":11.36338751,"10.38":11.547010365,"10.39":11.7837694716,"10.4":12.0968880556,"10.41":12.4872258983,"10.42":12.8667884264,"10.43":12.9519896724,"10.44":13.0027633496,"10.450000000000001":13.057287732,"10.46":13.2143786322,"10.47":13.3736195674,"10.48":13.5405883443,"10.49":13.6993922181,"10.5":13.8631673494,"10.51":14.0362288173,"10.52":14.2744872459,"10.53":14.5394905169,"10.540000000000001":14.8295759706,"10.55":15.1155978565,"10.56":15.3981053597,"10.57":15.6905476593,"10.58":15.996370576,"10.59":16.3168791458,"10.6":16.6436849573,"10.61":17.0080644556,"10.620000000000001":17.3549690646,"10.63":17.6791239443,"10.64":17.96527209,"10.65":18.1878499079,"10.66":18.3165349995,"10.67":18.3661824565,"10.68":18.3365764055,"10.69":18.258333204,"10.700000000000001":18.0810959441,"10.71":17.8074139447,"10.72":17.488675737,"10.73":17.1524587173,"10.74":16.8321372435,"10.75":16.5520319248,"10.76":16.3644047488,"10.77":16.2757528343,"10.78":16.2451280676,"10.790000000000001":16.1267788355,"10.8":15.986499082,"10.81":15.8859157096,"10.82":15.8301815318,"10.83":15.8227139057,"10.84":15.869584942,"10.85":15.9747038397,"10.86":16.1409201434,"10.870000000000001":16.2249657444,"10.88":16.3508799667,"10.89":16.5978501517,"10.9":16.9664241994,"10.91":17.4518547588,"10.92":18.0503299563,"10.93":18.7423528917,"10.94":19.4863811537,"10.950000000000001":20.3251462747,"10.96":21.4379779797,"10.97":22.7063645773,"10.98":24.16325913,"10.99":25.7320755771,"11.0":26.9743545292,"11.01":28.9146082969,"11.02":30.68418883,"11.03":32.3971251655,"11.040000000000001":34.005156221,"11.05":35.5575609267,"11.06":36.6109675269,"11.07":38.4033513083,"11.08":39.7413287905,"11.09":39.7574799975,"11.1":39.363542884,"11.11":38.283756226,"11.120000000000001":37.2247403212,"11.13":36.3215735205,"11.14":34.953830849,"11.15":33.3121588753,"11.16":31.9578834383,"11.17":30.1070016557,"11.18":28.5230136558,"11.19":27.0217229526,"11.200000000000001":25.3985791187,"11.21":24.0480532819,"11.22":22.8462853544,"11.23":21.6239171916,"11.24":20.5144707065,"11.25":19.5013389166,"11.26":18.5582567732,"11.27":17.7496900697,"11.28":17.1003196261,"11.290000000000001":16.543880203,"11.3":15.9738850886,"11.31":15.488996677,"11.32":15.0878433738,"11.33":14.7760661237,"11.34":14.5546279568,"11.35":14.4171590285,"11.36":14.3616406966,"11.370000000000001":14.382521368,"11.38":14.4713199297,"11.39":14.6173251643,"11.4":14.8089327688,"11.41":15.0331786441,"11.42":15.2760115036,"11.43":15.5225890907,"11.44":15.7575805449,"11.450000000000001":15.966626559,"11.46":16.1335467658,"11.47":16.2438726242,"11.48":16.2823396041,"11.49":16.2377805138,"11.5":16.0981052553,"11.51":15.8522833907,"11.52":15.4899700348,"11.53":14.9990258805,"11.540000000000001":14.3779779496,"11.55":13.6300918489,"11.56":12.7412756125,"11.57":11.7698281596,"11.58":10.8117706384,"11.59":10.2080065895,"11.6":9.6315044376,"11.61":9.1797225155,"11.620000000000001":8.9464417825,"11.63":8.7078111192,"11.64":8.5501817468,"11.65":7.7208206296,"11.66":8.0664035499,"11.67":8.4843593326,"11.68":7.7844495455,"11.69":8.7301881265,"11.700000000000001":8.7678376467,"11.71":8.0570831388,"11.72":8.3943066484,"11.73":7.6588227484,"11.74":5.2169127251,"11.75":4.985874854,"11.76":4.8219505954,"11.77":4.1890567221,"11.78":4.1130633014,"11.790000000000001":4.0610537433,"11.8":3.8101120381,"11.81":3.7876972467,"11.82":3.3734292291,"11.83":3.143926806,"11.84":3.0010246758,"11.85":2.6592577506,"11.86":2.48298582,"11.870000000000001":2.3696433571,"11.88":2.3664311661,"11.89":2.4729195098,"11.9":2.5697078813,"11.91":2.6574078315,"11.92":2.7386181001,"11.93":4.4522128876,"11.94":6.0837126246,"11.950000000000001":7.7672036116,"11.96":9.5981377738,"11.97":11.8496719755,"11.98":13.0753908363,"11.99":14.354951635,"12.0":16.8252476128,"12.01":23.79004884,"12.02":27.5819839389,"12.030000000000001":31.1571492027,"12.040000000000001":34.8178311617,"12.05":42.1411651049,"12.06":44.8425105447,"12.07":46.8710659462,"12.08":48.629613426,"12.09":50.179177108,"12.1":51.5253891098,"12.11":52.6699368819,"12.120000000000001":53.6167299406,"12.13":54.3739048711,"12.14":54.9477395435,"12.15":55.3441914169,"12.16":55.5695796853,"12.17":55.6309892596,"12.18":55.5365393425,"12.19":55.2955361927,"12.200000000000001":54.9185191186,"12.21":54.4172006687,"12.22":53.804297972,"12.23":53.093262277,"12.24":52.2979169055,"12.25":51.4320215474,"12.26":50.5087831055,"12.27":49.5403407109,"12.280000000000001":48.53724535,"12.290000000000001":47.5076657594,"12.3":46.2945297027,"12.31":45.28408295,"12.32":44.2487630352,"12.33":43.0529042038,"12.34":41.8352218286,"12.35":40.5886256901,"12.36":39.3020647876,"12.370000000000001":37.895036414,"12.38":36.0237025525,"12.39":33.6474409559,"12.4":31.3920295522,"12.41":29.3280789857,"12.42":27.4033070868,"12.43":25.7703567164,"12.44":24.3450504272,"12.450000000000001":22.966438586,"12.46":21.6439079754,"12.47":20.4061449657,"12.48":19.3279046095,"12.49":18.3859948201,"12.5":17.5191158589,"12.51":16.6671614529,"12.52":15.7394026966,"12.530000000000001":14.8325085241,"12.540000000000001":14.3622624835,"12.55":13.5939849783,"12.56":12.7581788377,"12.57":11.6730920767,"12.58":10.9827103913,"12.59":10.42403844,"12.6":10.1413004762,"12.61":9.9670473129,"12.620000000000001":9.8874552463,"12.63":9.8829094151,"12.64":9.9368357426,"12.65":9.9421362205,"12.66":9.971619974,"12.67":10.0576789089,"12.68":10.2016271526,"12.69":10.6106301323,"12.700000000000001":11.3261682315,"12.71":12.3434136661,"12.72":13.5093634071,"12.73":14.7445787261,"12.74":16.0008443277,"12.75":16.6796675985,"12.76":17.3169497541,"12.77":18.7722176183,"12.780000000000001":20.5051872563,"12.790000000000001":21.8011086595,"12.8":23.3232422913,"12.81":25.0765471658,"12.82":26.8842536432,"12.83":28.5054647532,"12.84":30.4835814077,"12.85":32.3721745912,"12.86":34.106227097,"12.870000000000001":35.5822050375,"12.88":36.6063398021,"12.89":37.4156311188,"12.9":37.6672920607,"12.91":37.5780202528,"12.92":37.1917892396,"12.93":36.5249688468,"12.94":35.6028291879,"12.950000000000001":34.4541416528,"12.96":33.106141407,"12.97":31.5991213062,"12.98":29.9811728836,"12.99":28.4275137951,"13.0":26.9357056128,"13.01":25.5596024208,"13.02":24.2571017567,"13.030000000000001":23.0458277238,"13.040000000000001":21.9314080429,"13.05":20.873019784,"13.06":19.9788862074,"13.07":19.1412115187,"13.08":18.4922028629,"13.09":17.9855208493,"13.1":17.5490666691,"13.11":17.1783171398,"13.120000000000001":16.8720206637,"13.13":16.6260250878,"13.14":16.4330827088,"13.15":16.169314623,"13.16":15.9096951831,"13.17":15.6776996004,"13.18":15.4684945477,"13.19":15.2756333784,"13.200000000000001":15.0913035638,"13.21":14.9081035568,"13.22":14.7178010666,"13.23":14.5127200878,"13.24":14.2908452086,"13.25":14.0537373517,"13.26":13.7901658116,"13.27":13.8902443353,"13.280000000000001":13.6109219279,"13.290000000000001":13.3170598416,"13.3":12.8774520903,"13.31":12.191275928,"13.32":11.3734620328,"13.33":10.7156033328,"13.34":10.3689196862,"13.35":10.1688945975,"13.36":10.061764928,"13.370000000000001":9.8540913286,"13.38":9.5886843913,"13.39":9.1862705284,"13.4":8.0860160927,"13.41":6.5154816053,"13.42":5.8165673706,"13.43":5.3087280818,"13.44":5.0065959961,"13.450000000000001":5.0124067811,"13.46":5.3035663914,"13.47":5.8214549035,"13.48":6.5574291234,"13.49":7.7999307837,"13.5":9.5230476583,"13.51":10.0854055072,"13.52":10.6438854756,"13.530000000000001":11.4664647074,"13.540000000000001":12.6246165938,"13.55":13.6896080368,"13.56":14.6532345517,"13.57":15.5549361916,"13.58":16.3113062639,"13.59":17.0331530745,"13.6":17.3502848886,"13.61":17.7271194047,"13.620000000000001":18.2432480014,"13.63":18.7557645523,"13.64":19.1921324795,"13.65":19.5271748457,"13.66":19.7145665438,"13.67":19.7985247807,"13.68":19.797220299,"13.69":19.6950249069,"13.700000000000001":19.4727782355,"13.71":19.1535819889,"13.72":18.7611250241,"13.73":18.3172064471,"13.74":17.8401900906,"13.75":17.3640445075,"13.76":16.9416162718,"13.77":16.5294735138,"13.780000000000001":16.150105758,"13.790000000000001":15.8140727657,"13.8":15.5265170732,"13.81":15.2919749893,"13.82":15.1153197371,"13.83":15.000091843,"13.84":14.9482536889,"13.85":14.9604775497,"13.86":15.0356926298,"13.870000000000001":15.1714248777,"13.88":15.3632817954,"13.89":15.6051384769,"13.9":15.890233389,"13.91":16.2106252485,"13.92":16.5548466526,"13.93":16.9072699,"13.94":17.2498178265,"13.950000000000001":17.5853742685,"13.96":17.8709062455,"13.97":18.0830182795,"13.98":18.2408332796,"13.99":18.2995769528,"14.0":18.2585945765,"14.01":18.1068253178,"14.02":17.8335270974,"14.030000000000001":17.4714934736,"14.040000000000001":17.0799263049,"14.05":16.416458036,"14.06":15.6448022865,"14.07":14.7957049673,"14.08":13.8910613488,"14.09":13.329554346,"14.1":11.9796937375,"14.11":11.0541625259,"14.120000000000001":10.441595946,"14.13":10.0025145017,"14.14":9.646146853,"14.15":9.3657409105,"14.16":9.0973081142,"14.17":8.9461156524,"14.18":8.8507846788,"14.19":8.7763783995,"14.200000000000001":8.7208726135,"14.21":8.6796723188,"14.22":8.6585974605,"14.23":8.6676064127,"14.24":8.6856813696,"14.25":8.7132007786,"14.26":8.7505458429,"14.27":8.7878095505,"14.280000000000001":8.9435678103,"14.290000000000001":9.1420578226,"14.3":9.3728745755,"14.31":9.6257286657,"14.32":9.9351362784,"14.33":10.3278404584,"14.34":10.9006539596,"14.35":12.1696724832,"14.36":13.4740005727,"14.370000000000001":14.4633173921,"14.38":15.4292547656,"14.39":16.3125079597,"14.4":17.0947426735,"14.41":17.4297298394,"14.42":18.0269944379,"14.43":18.7316283436,"14.44":19.4477058541,"14.450000000000001":20.121897495,"14.46":20.7329756647,"14.47":21.3631537893,"14.48":21.9814544417,"14.49":22.5221913377,"14.5":22.9915282633,"14.51":23.4606089247,"14.52":23.8829961696,"14.530000000000001":24.2631983326,"14.540000000000001":24.6139192637,"14.55":24.985044894,"14.56":25.3444562502,"14.57":25.7110246702,"14.58":26.0982604933,"14.59":26.5621927121,"14.6":27.0259890584,"14.61":27.5257331274,"14.620000000000001":27.8673180797,"14.63":28.5039223795,"14.64":28.9731073776,"14.65":29.1844194594,"14.66":29.7705270132,"14.67":30.0591270312,"14.68":30.2433165367,"14.69":29.9879492544,"14.700000000000001":29.9078046107,"14.71":29.9946467253,"14.72":29.4150389027,"14.73":28.8481197713,"14.74":28.299244644,"14.75":27.4524178723,"14.76":26.1340639362,"14.77":25.1220833679,"14.780000000000001":23.8624351147,"14.790000000000001":22.5282413649,"14.8":21.6644447596,"14.81":20.4498740724,"14.82":19.3637870798,"14.83":18.5805006614,"14.84":18.3401225476,"14.85":17.2642155319,"14.86":17.1293753573,"14.870000000000001":16.6008293488,"14.88":15.8562452945,"14.89":15.1155025216,"14.9":14.4272171834,"14.91":13.7950574098,"14.92":13.1757068248,"14.93":12.6279416985,"14.94":12.1361323583,"14.950000000000001":11.7214540409,"14.96":11.3898757047,"14.97":11.0925676936,"14.98":10.9604775373,"14.99":10.9463820212,"15.0":11.0379669226,"15.01":11.2099703384,"15.02":11.4834890195,"15.030000000000001":11.8497418763,"15.040000000000001":12.284805721,"15.05":12.7851410986,"15.06":13.3239922714,"15.07":13.8855614906,"15.08":14.4414885258,"15.09":14.9891994837,"15.1":15.4871824676,"15.11":15.9547340486,"15.120000000000001":16.3913594738,"15.13":16.7883138973,"15.14":17.1481750529,"15.15":17.2371799947,"15.16":17.2537920293,"15.17":17.3094248915,"15.18":17.4361928668,"15.19":17.5009682924,"15.200000000000001":17.5564936035,"15.21":17.5900900389,"15.22":17.5894018549,"15.23":17.5717182011,"15.24":17.5403471473,"15.25":17.4999731905,"15.26":17.455480403,"15.27":17.4111644888,"15.280000000000001":17.3700998362,"15.290000000000001":17.334031353,"15.3":17.3036123345,"15.31":17.2786858463,"15.32":17.2577043543,"15.33":17.2407371433,"15.34":17.226830348,"15.35":17.2151095211,"15.36":17.2047889089,"15.370000000000001":17.1951399938,"15.38":17.1854458587,"15.39":17.1749513858,"15.4":17.1628398219,"15.41":17.1482416821,"15.42":17.130292189,"15.43":17.1085372947,"15.44":17.0830869428,"15.450000000000001":17.0527609735,"15.46":16.997542801,"15.47":16.9114408789,"15.48":16.8106476912,"15.49":16.3350070083,"15.5":16.2233866572,"15.51":16.1082541161,"15.52":15.9919409042,"15.530000000000001":15.8750239353,"15.540000000000001":15.769409512,"15.55":15.6792237686,"15.56":15.6075214109,"15.57":15.5576471148,"15.58":15.5409739112,"15.59":15.5600124686,"15.6":15.6172782371,"15.610000000000001":15.7160275619,"15.620000000000001":15.8625185488,"15.63":16.0519454429,"15.64":16.2893096767,"15.65":16.5729346534,"15.66":16.9003853017,"15.67":17.1974125361,"15.68":17.5240083391,"15.69":17.9265041887,"15.700000000000001":18.4017234756,"15.71":18.9399820941,"15.72":19.540056414,"15.73":20.3239790699,"15.74":21.1741642384,"15.75":22.1136939237,"15.76":23.079032673,"15.77":24.1206723237,"15.780000000000001":25.1781109614,"15.790000000000001":26.238140652,"15.8":27.3166857282,"15.81":28.5028850563,"15.82":29.6632606712,"15.83":30.766253786,"15.84":31.736616463,"15.85":32.5570755492,"15.860000000000001":33.2293637241,"15.870000000000001":33.7329151688,"15.88":34.0473149581,"15.89":34.1654619638,"15.9":34.0919805728,"15.91":33.8416500695,"15.92":33.4375633431,"15.93":32.9091456373,"15.94":32.2903787705,"15.950000000000001":31.5977692853,"15.96":30.8360318738,"15.97":30.0157840977,"15.98":29.1678361689,"15.99":28.3696038495,"16.0":27.5634297837,"16.01":26.8227504435,"16.02":26.0531416134,"16.03":25.2567241319,"16.04":24.4334843724,"16.05":23.5903119745,"16.06":22.7374746829,"16.07":21.8970110826,"16.080000000000002":21.0423395357,"16.09":20.2236702011,"16.1":19.4702442204,"16.11":18.7072068589,"16.12":17.9795537777,"16.13":17.3280224456,"16.14":16.5831513485,"16.15":16.2047082734,"16.16":15.4553562101,"16.17":14.7060496033,"16.18":13.9629772103,"16.19":13.2356397273,"16.2":12.052812494,"16.21":11.2119671946,"16.22":10.7670640002,"16.23":10.4479993314,"16.240000000000002":10.1857107319,"16.25":9.9594678766,"16.26":9.7705600189,"16.27":9.6266257809,"16.28":9.5355968996,"16.29":9.4854217939,"16.3":9.4719466421,"16.31":9.4831768175,"16.32":9.5257171729,"16.330000000000002":9.598218959,"16.34":9.7098863502,"16.35":9.8568924978,"16.36":10.0300351764,"16.37":10.2558635155,"16.38":10.5509824223,"16.39":10.9618889804,"16.4":11.5286348389,"16.41":12.3328796698,"16.42":13.3259056971,"16.43":13.6307434338,"16.44":14.3155767653,"16.45":14.9887840378,"16.46":15.6282316883,"16.47":16.2410711406,"16.48":16.8090298707,"16.490000000000002":17.3149446523,"16.5":17.7240253853,"16.51":18.1497866848,"16.52":18.5654065307,"16.53":18.9588895869,"16.54":19.3199981015,"16.55":19.643725693,"16.56":19.9286257907,"16.57":20.1726051649,"16.580000000000002":20.3740207974,"16.59":20.5314352572,"16.6":20.6521435931,"16.61":20.733940246,"16.62":20.7706448708,"16.63":20.7606059468,"16.64":20.7033349262,"16.65":20.5928027767,"16.66":20.4447725468,"16.67":20.2699754945,"16.68":20.0306215384,"16.69":19.7241062833,"16.7":19.3799113849,"16.71":19.0158849228,"16.72":18.6327771984,"16.73":18.2343118144,"16.740000000000002":17.8294994071,"16.75":17.4678670043,"16.76":17.2447058588,"16.77":16.973951659,"16.78":16.3860726973,"16.79":15.767172561,"16.8":15.1054540523,"16.81":14.4278223957,"16.82":13.7468034348,"16.830000000000002":13.0742047451,"16.84":12.096742172,"16.85":11.3470067286,"16.86":10.8835190011,"16.87":10.532382612,"16.88":10.2312236159,"16.89":10.0237519412,"16.9":9.8504348851,"16.91":9.7072200644,"16.92":9.5880109022,"16.93":9.5533734158,"16.94":9.5801309396,"16.95":9.6221963234,"16.96":9.6627826529,"16.97":9.7187053734,"16.98":10.1510282485,"16.990000000000002":10.2086625473,"17.0":10.2798172146,"17.01":10.3784030846,"17.02":10.479479988,"17.03":10.650886042,"17.04":10.8508964082,"17.05":11.0943284877,"17.06":11.4469547803,"17.07":11.8746487212,"17.080000000000002":12.3512269682,"17.09":12.8604633582,"17.1":13.3154831398,"17.11":13.6848776169,"17.12":14.0121265047,"17.13":14.2980202005,"17.14":14.5353119328,"17.150000000000002":14.7302046613,"17.16":14.8858154458,"17.17":15.0054525108,"17.18":15.0918255308,"17.19":15.1549800159,"17.2":15.2022745849,"17.21":15.2313509864,"17.22":15.2573564428,"17.23":15.2892919689,"17.240000000000002":15.3194092745,"17.25":15.7408717861,"17.26":15.8156508944,"17.27":15.9104448024,"17.28":16.0268872847,"17.29":16.170205442,"17.3":16.340004175,"17.31":16.535140592,"17.32":16.7540035066,"17.330000000000002":16.9942406604,"17.34":17.1691370486,"17.35":17.2722080408,"17.36":17.4176382442,"17.37":17.6184358295,"17.38":17.8665672703,"17.39":18.1338836815,"17.400000000000002":18.4212974014,"17.41":18.7244418243,"17.42":19.035790508,"17.43":19.3487865305,"17.44":19.657846655,"17.45":19.9599457385,"17.46":20.2579497711,"17.47":20.5592920044,"17.48":20.8655716205,"17.490000000000002":21.2183579449,"17.5":21.5849039628,"17.51":21.9467626462,"17.52":22.3083280656,"17.53":22.6750476818,"17.54":23.0565559467,"17.55":23.4849103912,"17.56":23.9147344355,"17.57":24.355506839,"17.580000000000002":24.8256898303,"17.59":25.3377244075,"17.6":25.8527586578,"17.61":26.3859478121,"17.62":26.9247494417,"17.63":27.4828812738,"17.64":28.0306681905,"17.650000000000002":28.5870998308,"17.66":29.1297640287,"17.67":29.7030985463,"17.68":30.2591898065,"17.69":30.7692560849,"17.7":31.266784595,"17.71":31.6715950088,"17.72":32.0140119011,"17.73":32.3039087176,"17.740000000000002":32.5330877961,"17.75":32.6933424568,"17.76":32.7783043275,"17.77":32.7848997473,"17.78":32.7120467125,"17.79":32.5624711295,"17.8":32.3308103792,"17.81":31.9594832633,"17.82":31.4646790248,"17.830000000000002":30.8704087353,"17.84":30.2312422397,"17.85":29.5014194669,"17.86":28.7433713815,"17.87":27.9431981314,"17.88":27.0918236659,"17.89":26.2141077855,"17.900000000000002":25.3026459635,"17.91":24.3556470718,"17.92":23.4038378901,"17.93":22.4582546232,"17.94":21.5048025708,"17.95":20.6042161267,"17.96":19.8033804523,"17.97":18.9878737942,"17.98":18.2108842064,"17.990000000000002":17.5478158708,"18.0":17.1221672585,"18.01":16.5281175789,"18.02":15.8225321303,"18.03":15.1246443935,"18.04":14.426540271,"18.05":13.6751132347,"18.06":12.9251947947,"18.07":11.8721694564,"18.080000000000002":11.1673229834,"18.09":10.7410690646,"18.1":10.3966419041,"18.11":10.1713758162,"18.12":9.9894934759,"18.13":9.8627946441,"18.14":9.7680123942,"18.150000000000002":9.7145705071,"18.16":9.6897546724,"18.17":9.6911861594,"18.18":9.7185549145,"18.19":9.7818804495,"18.2":9.8798394246,"18.21":10.0080860094,"18.22":10.1674178812,"18.23":10.367201738,"18.240000000000002":10.6587935493,"18.25":11.3098566032,"18.26":12.3590823376,"18.27":13.1129527982,"18.28":13.8268458185,"18.29":14.5523799955,"18.3":15.2062291269,"18.31":15.8661856577,"18.32":16.5158581222,"18.330000000000002":17.1384064418,"18.34":17.3433543647,"18.35":17.6683081404,"18.36":18.1183086189,"18.37":18.6096023182,"18.38":19.0952791891,"18.39":19.5543608782,"18.400000000000002":19.9690682677,"18.41":20.3270979785,"18.42":20.6245216234,"18.43":20.8526961511,"18.44":21.0410680659,"18.45":21.1617478183,"18.46":21.2039646455,"18.47":21.1588683185,"18.48":21.0415259788,"18.490000000000002":20.8542945233,"18.5":20.6279829432,"18.51":20.3628046088,"18.52":20.0494738018,"18.53":19.6933321936,"18.54":19.3018194722,"18.55":18.8856618131,"18.56":18.4595478289,"18.57":18.0419866859,"18.580000000000002":17.651546256,"18.59":17.2623665406,"18.6":16.8304995665,"18.61":16.3978406928,"18.62":15.9707670284,"18.63":15.5590115161,"18.64":15.1654791972,"18.650000000000002":14.7965223195,"18.66":14.4583254282,"18.67":14.1566618339,"18.68":13.8966809067,"18.69":13.6827800994,"18.7":13.5182363733,"18.71":13.4062719113,"18.72":13.3508604676,"18.73":13.3492558357,"18.740000000000002":13.400162156,"18.75":13.4962734847,"18.76":13.6361048948,"18.77":13.8192107085,"18.78":14.0424437896,"18.79":14.2956196965,"18.8":14.5717765574,"18.81":14.8636540881,"18.82":15.1618519932,"18.830000000000002":15.4631483374,"18.84":15.7590440032,"18.85":16.0432235371,"18.86":16.3100907659,"18.87":16.5549450446,"18.88":16.7739386884,"18.89":16.9645460095,"18.900000000000002":17.1253313908,"18.91":17.2531243025,"18.92":17.3499340756,"18.93":17.407495776,"18.94":17.4471964515,"18.95":17.4688018285,"18.96":17.4747464643,"18.97":17.4681455151,"18.98":17.4524357078,"18.990000000000002":17.4299418203,"19.0":17.4006686605,"19.01":17.3701080138,"19.02":17.3433124949,"19.03":17.3212290765,"19.04":17.3062959724,"19.05":17.2995080731,"19.06":17.3012556796,"19.07":17.3113435557,"19.080000000000002":17.3321870749,"19.09":17.3536674084,"19.1":17.3701190702,"19.11":17.3898465652,"19.12":17.4158222722,"19.13":17.4416592012,"19.14":17.4635605426,"19.150000000000002":17.4857374887,"19.16":17.510614088,"19.17":17.5309784364,"19.18":17.5513995699,"19.19":17.5730434422,"19.2":17.5970508849,"19.21":17.6248690894,"19.22":17.6580984623,"19.23":17.6984839046,"19.240000000000002":17.7478331662,"19.25":17.8078669999,"19.26":17.8801998417,"19.27":17.9649215279,"19.28":18.0603216,"19.29":18.1741016302,"19.3":18.3032155326,"19.31":18.4401888389,"19.32":18.5892697072,"19.330000000000002":18.7538907274,"19.34":18.9242353197,"19.35":19.0933949292,"19.36":19.263929845,"19.37":19.4348856692,"19.38":19.5981065733,"19.39":19.7427935993,"19.400000000000002":19.8715578408,"19.41":19.982902162,"19.42":20.0748954148,"19.43":20.143502452,"19.44":20.1872873387,"19.45":20.203651355,"19.46":20.194211717,"19.47":20.1602192253,"19.48":20.1022496305,"19.490000000000002":20.0212701911,"19.5":19.9182752799,"19.51":19.7944168122,"19.52":19.6505483063,"19.53":19.4877326277,"19.54":19.3069731117,"19.55":19.1089486402,"19.56":18.8942736841,"19.57":18.6642022125,"19.580000000000002":18.4206432609,"19.59":18.1666748625,"19.6":17.9098078797,"19.61":17.6543655527,"19.62":17.3735077288,"19.63":17.044424856,"19.64":17.0285343759,"19.650000000000002":16.6924404545,"19.66":16.2992832184,"19.67":15.8873914659,"19.68":15.4587407608,"19.69":15.016121999,"19.7":14.5640708764,"19.71":14.1078931887,"19.72":13.638823576,"19.73":13.1231964559,"19.740000000000002":12.3395822754,"19.75":11.6976635604,"19.76":11.2647021184,"19.77":10.944373788,"19.78":10.6888422972,"19.79":10.4945090562,"19.8":10.3308887917,"19.81":10.1961819318,"19.82":10.1007710154,"19.830000000000002":10.031117518,"19.84":9.9984363085,"19.85":9.9953865784,"19.86":10.0170448681,"19.87":10.0631234921,"19.88":10.1335180798,"19.89":10.2282362042,"19.900000000000002":10.35256997,"19.91":10.5296505408,"19.92":10.7862786682,"19.93":11.3912393714,"19.94":12.1590509151,"19.95":12.7382196182,"19.96":13.2943510761,"19.97":13.8260550292,"19.98":14.3573084592,"19.990000000000002":14.8859783609},"9":{"1.5":4.1360169701,"1.51":4.1285680749,"1.52":4.1223292037,"1.53":4.1172861235,"1.54":4.1123208188,"1.55":4.1094844423,"1.56":4.1086574004,"1.57":4.1099747548,"1.58":4.1136848656,"1.59":4.1188943748,"1.6":4.1249257801,"1.61":4.1328966931,"1.62":4.1431124686,"1.6300000000000001":4.155729527,"1.6400000000000001":4.1710702029,"1.6500000000000001":4.1896289655,"1.6600000000000001":4.2116711983,"1.67":4.2378791137,"1.68":4.2686221938,"1.69":4.3047107544,"1.7":4.3464513337,"1.71":4.3943311875,"1.72":4.4487733989,"1.73":4.5022806474,"1.74":4.5516825913,"1.75":4.6070874045,"1.76":4.6684606089,"1.77":4.7356197116,"1.78":4.8083870027,"1.79":4.8834731116,"1.8":4.93447595,"1.81":4.9642565869,"1.82":4.9925688576,"1.83":5.0209158726,"1.84":5.0357121954,"1.85":5.0488157264,"1.86":5.0587580258,"1.87":5.0605865253,"1.8800000000000001":5.0615095827,"1.8900000000000001":5.0571947907,"1.9000000000000001":5.0493692554,"1.9100000000000001":5.038400213,"1.92":5.0271410411,"1.93":5.014222335,"1.94":5.0017613012,"1.95":4.9901402088,"1.96":4.9794424892,"1.97":4.9712500027,"1.98":4.9653183774,"1.99":4.9617970036,"2.0":4.9606732531,"2.0100000000000002":4.9617788506,"2.02":4.9648833067,"2.0300000000000002":4.969980726,"2.04":4.9753226619,"2.05":4.9805598252,"2.06":4.9852428107,"2.07":4.9878151341,"2.08":4.9888887833,"2.09":4.9855354317,"2.1":4.9783184445,"2.11":4.9653275808,"2.12":4.9488700398,"2.13":4.9232072728,"2.14":4.8949152023,"2.15":4.8576840316,"2.16":4.8154348344,"2.17":4.7727283303,"2.18":4.7097884512,"2.19":4.6492612906,"2.2":4.5919407862,"2.21":4.5850917826,"2.22":4.509389414,"2.23":4.4399247251,"2.24":4.3766277439,"2.25":4.3195746184,"2.2600000000000002":4.2691007425,"2.27":4.2021635818,"2.2800000000000002":4.1371327477,"2.29":4.0790383015,"2.3000000000000003":4.0292396819,"2.31":3.9843804266,"2.32":3.9436878906,"2.33":3.908685914,"2.34":3.8756891246,"2.35":3.8500899421,"2.36":3.8232502909,"2.37":3.7988262767,"2.38":3.7704454348,"2.39":3.7461008471,"2.4":3.7278687672,"2.41":3.716589298,"2.42":3.7043511514,"2.43":3.6984741795,"2.44":3.6994173386,"2.45":3.7007454909,"2.46":3.7073101583,"2.47":3.7162586729,"2.48":3.7088771618,"2.49":3.6938826953,"2.5":3.6791492381,"2.5100000000000002":3.6717457048,"2.52":3.6721276805,"2.5300000000000002":3.6746193829,"2.54":3.6540364607,"2.5500000000000003":3.6282300384,"2.56":3.591785259,"2.57":3.5551506461,"2.58":3.5180221565,"2.59":3.485695195,"2.6":3.4576467567,"2.61":3.4331745863,"2.62":3.4114374886,"2.63":3.3914999159,"2.64":3.3723834828,"2.65":3.3531223419,"2.66":3.3328190761,"2.67":3.3106976978,"2.68":3.2861504919,"2.69":3.2587758045,"2.7":3.2284044463,"2.71":3.1951131039,"2.72":3.1592240188,"2.73":3.121291123,"2.74":3.0820737749,"2.75":3.0425001512,"2.7600000000000002":3.0036231549,"2.77":2.966572347,"2.7800000000000002":2.9325058494,"2.79":2.9025663525,"2.8000000000000003":2.8778452833,"2.81":2.8593588239,"2.82":2.8480388381,"2.83":2.8447408767,"2.84":2.8502703465,"2.85":2.8654266847,"2.86":2.8910640571,"2.87":2.9281657653,"2.88":2.9777175275,"2.89":3.0318352205,"2.9":3.0595412023,"2.91":3.0895893648,"2.92":3.1408758418,"2.93":3.2158949628,"2.94":3.3173883387,"2.95":3.4377626685,"2.96":3.5455727398,"2.97":3.6603275055,"2.98":3.782527626,"2.99":3.9060795605,"3.0":4.0313180378,"3.0100000000000002":4.1598299955,"3.02":4.2891214437,"3.0300000000000002":4.396591029,"3.04":4.4997477593,"3.0500000000000003":4.5559979166,"3.06":4.5894194869,"3.0700000000000003":4.6108205711,"3.08":4.6191141619,"3.09":4.6123542764,"3.1":4.5999473369,"3.11":4.5867075608,"3.12":4.573202807,"3.13":4.5591679816,"3.14":4.5454187774,"3.15":4.5285480416,"3.16":4.5093813009,"3.17":4.477773473,"3.18":4.4491478964,"3.19":4.4284436184,"3.2":4.4144599155,"3.21":4.4068918579,"3.22":4.4043145789,"3.23":4.4059638322,"3.24":4.4110081465,"3.25":4.4185926185,"3.2600000000000002":4.4278848778,"3.27":4.4381296432,"3.2800000000000002":4.4486914566,"3.29":4.4590901662,"3.3000000000000003":4.4690320014,"3.31":4.4784164606,"3.3200000000000003":4.4873998978,"3.33":4.496519202,"3.34":4.5062392304,"3.35":4.513885375,"3.36":4.507977378,"3.37":4.4884325643,"3.38":4.4658536416,"3.39":4.4433616176,"3.4":4.421323628,"3.41":4.4014543489,"3.42":4.3852464859,"3.43":4.370864545,"3.44":4.3587905091,"3.45":4.3489986904,"3.46":4.3430769881,"3.47":4.3385786087,"3.48":4.3352972377,"3.49":4.3343691592,"3.5":4.3315977823,"3.5100000000000002":4.3291244124,"3.52":4.3147405789,"3.5300000000000002":4.3051799627,"3.54":4.2899296061,"3.5500000000000003":4.2972951651,"3.56":4.3272445842,"3.5700000000000003":4.3770616395,"3.58":4.4468744248,"3.59":4.5361131531,"3.6":4.6425305577,"3.61":4.7465241569,"3.62":4.8584241242,"3.63":4.9769043853,"3.64":5.1075351219,"3.65":5.2493316567,"3.66":5.4050076236,"3.67":5.5740295042,"3.68":5.7463419874,"3.69":5.9251219533,"3.7":6.1110331121,"3.71":6.2923727124,"3.72":6.4577387368,"3.73":6.6715818054,"3.74":6.8368362876,"3.75":6.971251234,"3.7600000000000002":7.0531231888,"3.77":7.0771132676,"3.7800000000000002":7.0442782718,"3.79":6.965700368,"3.8000000000000003":6.8669498719,"3.81":6.7707482744,"3.8200000000000003":6.6842849452,"3.83":6.6156253808,"3.84":6.5694834295,"3.85":6.545284239,"3.86":6.5367793657,"3.87":6.5353385446,"3.88":6.532321225,"3.89":6.5212542288,"3.9":6.4904229062,"3.91":6.4274833421,"3.92":6.3282772443,"3.93":6.197717408,"3.94":6.0402713307,"3.95":5.8619663504,"3.96":5.67586808,"3.97":5.4816430524,"3.98":5.2327502522,"3.99":5.0405394764,"4.0":4.8563452649,"4.01":4.6811174889,"4.0200000000000005":4.5153819675,"4.03":4.3350665486,"4.04":4.1472280652,"4.05":3.9698232089,"4.0600000000000005":3.7734316613,"4.07":3.5739830387,"4.08":3.3648243893,"4.09":3.1493235897,"4.1":2.9244004641,"4.11":2.677873949,"4.12":2.4409263157,"4.13":2.2241693104,"4.14":2.0268979714,"4.15":1.8483177964,"4.16":1.6693921764,"4.17":1.4874027732,"4.18":1.3187342151,"4.19":1.1694284998,"4.2":1.0388046232,"4.21":0.9257734362,"4.22":0.8293623871,"4.23":0.748754074,"4.24":0.6833215439,"4.25":0.6326592633,"4.26":0.5966082018,"4.2700000000000005":0.5752734584,"4.28":0.5690329093,"4.29":0.5785353464,"4.3":0.6046869075,"4.3100000000000005":0.6486249486,"4.32":0.711678983,"4.33":0.7953188413,"4.34":0.9010908019,"4.3500000000000005":1.0305426301,"4.36":1.1836025029,"4.37":1.3585343593,"4.38":1.5568162173,"4.39":1.7746399129,"4.4":1.9895508098,"4.41":2.2191898707,"4.42":2.4723093264,"4.43":2.7463006214,"4.44":3.0380005095,"4.45":3.3478337571,"4.46":3.6691399536,"4.47":3.9866905407,"4.48":4.2965848715,"4.49":4.6108830611,"4.5":4.9312258749,"4.51":5.2528917381,"4.5200000000000005":5.5750893666,"4.53":5.895184917,"4.54":6.2091385621,"4.55":6.5130103978,"4.5600000000000005":6.8030475754,"4.57":7.0705055253,"4.58":7.312577394,"4.59":7.5249234616,"4.6000000000000005":7.6989564487,"4.61":7.826954113,"4.62":7.9133172524,"4.63":7.9372881482,"4.64":7.9148060855,"4.65":7.8470729606,"4.66":7.7383420202,"4.67":7.5971183143,"4.68":7.427733578,"4.69":7.2351278344,"4.7":7.024703835,"4.71":6.8022451755,"4.72":6.5737472498,"4.73":6.3452454906,"4.74":6.1227313764,"4.75":5.9119469965,"4.76":5.7182723863,"4.7700000000000005":5.5465932908,"4.78":5.4011954345,"4.79":5.2856700003,"4.8":5.2028297667,"4.8100000000000005":5.1546858561,"4.82":5.1364359434,"4.83":5.0966136987,"4.84":5.0165625848,"4.8500000000000005":4.931087536,"4.86":4.8368855123,"4.87":4.7483606662,"4.88":4.6278766471,"4.89":4.5152444356,"4.9":4.4232166412,"4.91":4.2988545227,"4.92":4.1711988665,"4.93":4.0446369846,"4.94":3.9121787878,"4.95":3.7605295667,"4.96":3.6053134234,"4.97":3.4479037115,"4.98":3.2984564601,"4.99":3.1628922952,"5.0":3.0422644047,"5.01":2.9374254294,"5.0200000000000005":2.8490353605,"5.03":2.7775830627,"5.04":2.7234178103,"5.05":2.6867910285,"5.0600000000000005":2.667904542,"5.07":2.6669619192,"5.08":2.6842185963,"5.09":2.7200289301,"5.1000000000000005":2.7748860983,"5.11":2.8494510352,"5.12":2.9445675962,"5.13":3.0612362186,"5.14":3.18764225,"5.15":3.3225833113,"5.16":3.4721956334,"5.17":3.5995533658,"5.18":3.691680416,"5.19":3.7398987529,"5.2":3.7620828744,"5.21":3.736624812,"5.22":3.6540207877,"5.23":3.518075615,"5.24":3.3281437505,"5.25":3.0903202126,"5.26":2.8683717305,"5.2700000000000005":2.6694823813,"5.28":2.4829039034,"5.29":2.2740491117,"5.3":2.0953018365,"5.3100000000000005":1.9610138958,"5.32":1.8753983479,"5.33":1.842947838,"5.34":1.8683598933,"5.3500000000000005":1.9564872296,"5.36":2.1110301807,"5.37":2.3355589275,"5.38":2.6302603392,"5.39":2.9931999217,"5.4":3.3897257825,"5.41":3.8176887081,"5.42":4.3055417798,"5.43":4.85310667,"5.44":5.4293892768,"5.45":5.9049383521,"5.46":6.3277899053,"5.47":6.6844257477,"5.48":6.9447890644,"5.49":6.9380677483,"5.5":6.8210166472,"5.51":6.6852547,"5.5200000000000005":6.5285222847,"5.53":6.3500711981,"5.54":6.1636490527,"5.55":5.9773681047,"5.5600000000000005":5.7959239704,"5.57":5.6222275613,"5.58":5.458679212,"5.59":5.3072670564,"5.6000000000000005":5.1699874059,"5.61":5.0428284257,"5.62":4.9100092935,"5.63":4.7983159131,"5.64":4.7072483499,"5.65":4.6358603283,"5.66":4.5828502037,"5.67":4.5466622202,"5.68":4.5255969118,"5.69":4.5179255654,"5.7":4.5220030996,"5.71":4.5363741701,"5.72":4.5598891258,"5.73":4.5917628109,"5.74":4.6161212194,"5.75":4.6447860424,"5.76":4.6767760384,"5.7700000000000005":4.7174264452,"5.78":4.7668396843,"5.79":4.8262986789,"5.8":4.9002807586,"5.8100000000000005":4.9974323418,"5.82":5.1132038795,"5.83":5.2494217244,"5.84":5.3412648133,"5.8500000000000005":5.3946889486,"5.86":5.4362074477,"5.87":5.483445407,"5.88":5.5229081585,"5.89":5.5335745654,"5.9":5.5532188624,"5.91":5.5790397666,"5.92":5.6092222402,"5.93":5.6335724003,"5.94":5.6369354084,"5.95":5.632794005,"5.96":5.6268343779,"5.97":5.6165235426,"5.98":5.5998627949,"5.99":5.5750618107,"6.0":5.5408000122,"6.01":5.4971261069,"6.0200000000000005":5.442468084,"6.03":5.3769925964,"6.04":5.3026692176,"6.05":5.2182882548,"6.0600000000000005":5.1364734264,"6.07":5.0508917109,"6.08":4.9647252285,"6.09":4.8758851134,"6.1000000000000005":4.7713152361,"6.11":4.6113189409,"6.12":4.427089223,"6.13":4.1259688863,"6.140000000000001":3.7643353971,"6.15":3.4056010508,"6.16":3.0399768642,"6.17":2.6708435321,"6.18":2.3065412611,"6.19":1.9670373627,"6.2":1.6557622877,"6.21":1.3759532672,"6.22":1.1308498425,"6.23":0.9236623066,"6.24":0.7575785826,"6.25":0.6357498682,"6.26":0.5611457156,"6.2700000000000005":0.5364722016,"6.28":0.5640651074,"6.29":0.6457701337,"6.3":0.7828180657,"6.3100000000000005":0.9757017111,"6.32":1.2240585305,"6.33":1.5265750905,"6.34":1.8728874644,"6.3500000000000005":2.1811090511,"6.36":2.5156706759,"6.37":2.8765898693,"6.38":3.1851664654,"6.390000000000001":3.4485115672,"6.4":3.6716013197,"6.41":3.854394222,"6.42":4.0309317799,"6.43":4.2071380164,"6.44":4.3607852942,"6.45":4.4893627023,"6.46":4.6173067215,"6.47":4.7385085749,"6.48":4.8508054939,"6.49":4.9474793274,"6.5":5.043048415,"6.51":5.1362846487,"6.5200000000000005":5.2245393146,"6.53":5.3085170241,"6.54":5.3872082248,"6.55":5.4596058245,"6.5600000000000005":5.524808614,"6.57":5.5820585469,"6.58":5.6309097599,"6.59":5.6696487091,"6.6000000000000005":5.6984229202,"6.61":5.7178371741,"6.62":5.7282350728,"6.63":5.7299350897,"6.640000000000001":5.7235998555,"6.65":5.7099054483,"6.66":5.6877527543,"6.67":5.6591363743,"6.68":5.6261152116,"6.69":5.5896759163,"6.7":5.550750649,"6.71":5.510183497,"6.72":5.4686683918,"6.73":5.4268280351,"6.74":5.3805554458,"6.75":5.3289216982,"6.76":5.2790004548,"6.7700000000000005":5.2311515197,"6.78":5.185672094,"6.79":5.1425535584,"6.8":5.1001614091,"6.8100000000000005":5.0619374427,"6.82":5.0284441685,"6.83":5.0004203734,"6.84":4.9788179495,"6.8500000000000005":4.9648278059,"6.86":4.9593102033,"6.87":4.9612878655,"6.88":4.9746674611,"6.890000000000001":4.9567803682,"6.9":4.9875734569,"6.91":5.0308573113,"6.92":5.0909797387,"6.93":5.1181950819,"6.94":5.154663592,"6.95":5.1741901938,"6.96":5.1665962356,"6.97":5.1378254834,"6.98":5.0763296447,"6.99":4.982690705,"7.0":4.8649658005,"7.01":4.7050751813,"7.0200000000000005":4.557674533,"7.03":4.4604651995,"7.04":4.4181959522,"7.05":4.4344166324,"7.0600000000000005":4.5117478345,"7.07":4.6517719452,"7.08":4.8549395354,"7.09":5.1204967591,"7.1000000000000005":5.4464391419,"7.11":5.8294925195,"7.12":6.265123652,"7.13":6.7475853425,"7.140000000000001":7.2643033108,"7.15":7.7594279755,"7.16":8.1947890813,"7.17":8.5831917897,"7.18":8.9123280178,"7.19":9.1679481531,"7.2":9.3629736446,"7.21":9.46226717,"7.22":9.5298460749,"7.23":9.4860090972,"7.24":9.3847690223,"7.25":9.2082254826,"7.26":8.9103713032,"7.2700000000000005":8.6002455001,"7.28":8.2722363335,"7.29":7.9362480019,"7.3":7.6062059852,"7.3100000000000005":7.2795202352,"7.32":6.9700957752,"7.33":6.6786001297,"7.34":6.410477566,"7.3500000000000005":6.1676599648,"7.36":5.9510346267,"7.37":5.7608133787,"7.38":5.5975535736,"7.390000000000001":5.4580121399,"7.4":5.3398988912,"7.41":5.2365198801,"7.42":5.147338159,"7.43":5.062096145,"7.44":5.0185866066,"7.45":4.9279760352,"7.46":4.8511027806,"7.47":4.7428081021,"7.48":4.6355608308,"7.49":4.5441674467,"7.5":4.42797215,"7.51":4.3166424264,"7.5200000000000005":4.2208106841,"7.53":4.1299186981,"7.54":4.0312341017,"7.55":3.9228521177,"7.5600000000000005":3.8011044615,"7.57":3.6649572789,"7.58":3.5211868385,"7.59":3.355518166,"7.6000000000000005":3.1634110391,"7.61":2.9695460276,"7.62":2.777534812,"7.63":2.5865696175,"7.640000000000001":2.3963449329,"7.65":2.1919324102,"7.66":1.9593945582,"7.67":1.7166513487,"7.68":1.4774134832,"7.69":1.245145626,"7.7":1.0237495371,"7.71":0.8160829605,"7.72":0.6250847802,"7.73":0.4536690125,"7.74":0.3046238802,"7.75":0.1805188266,"7.76":0.0836218891,"7.7700000000000005":0.0158294746,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0578716442,"7.82":0.147906072,"7.83":0.2684800611,"7.84":0.4181217086,"7.8500000000000005":0.594933679,"7.86":0.7966402184,"7.87":1.0206368494,"7.88":1.2640586394,"7.890000000000001":1.5239583421,"7.9":1.7972260489,"7.91":2.0807079499,"7.92":2.3571810111,"7.930000000000001":2.6021421504,"7.94":2.8403795886,"7.95":3.078825997,"7.96":3.3155670944,"7.97":3.4773936498,"7.98":3.5199526056,"7.99":3.5283229039,"8.0":3.5005073574,"8.01":3.4699344683,"8.02":3.447321215,"8.03":3.4350294949,"8.040000000000001":3.4345811584,"8.05":3.4474066098,"8.06":3.4750522645,"8.07":3.5193502747,"8.08":3.5814508376,"8.09":3.6628127061,"8.1":3.7648111629,"8.11":3.8887196216,"8.120000000000001":4.0368069553,"8.13":4.2104565456,"8.14":4.4071209524,"8.15":4.6267201931,"8.16":4.8673222798,"8.17":5.1051539872,"8.18":5.2931997085,"8.19":5.4520606005,"8.2":5.5575394397,"8.21":5.5997116557,"8.22":5.5873147917,"8.23":5.5395983595,"8.24":5.4687770968,"8.25":5.3878657715,"8.26":5.3090850356,"8.27":5.2329367878,"8.28":5.1611555339,"8.290000000000001":5.095988582,"8.3":5.0393511808,"8.31":4.9867349812,"8.32":4.9434054727,"8.33":4.9172306641,"8.34":4.9117385492,"8.35":4.9303287656,"8.36":4.9762181483,"8.370000000000001":5.0523851745,"8.38":5.1610045482,"8.39":5.3041522772,"8.4":5.4703185612,"8.41":5.6539408927,"8.42":5.8447594596,"8.43":5.990867961,"8.44":6.1236947972,"8.45":6.2507712761,"8.46":6.3738304158,"8.47":6.4968426712,"8.48":6.6173215123,"8.49":6.7232830876,"8.5":6.8196146785,"8.51":6.9003344138,"8.52":6.9638060818,"8.53":7.0139791324,"8.540000000000001":7.0487113947,"8.55":7.0689066101,"8.56":7.0748697351,"8.57":7.0672045231,"8.58":7.045579325,"8.59":7.00918332,"8.6":6.9600290169,"8.61":6.8963030047,"8.620000000000001":6.8242843434,"8.63":6.7454776634,"8.64":6.6614449907,"8.65":6.573875965,"8.66":6.482844418,"8.67":6.3889230782,"8.68":6.3027356695,"8.69":6.2208997598,"8.700000000000001":6.1458810795,"8.71":6.0749795675,"8.72":6.0128470325,"8.73":5.9609640933,"8.74":5.9205165183,"8.75":5.8924583133,"8.76":5.8765100509,"8.77":5.869675804,"8.78":5.8730416639,"8.790000000000001":5.8877881618,"8.8":5.9160381701,"8.81":5.9569378739,"8.82":6.0072337191,"8.83":6.0645526364,"8.84":6.1210676215,"8.85":6.1402728335,"8.86":6.1777880021,"8.870000000000001":6.2040317484,"8.88":6.2252046996,"8.89":6.218225506,"8.9":6.1927447383,"8.91":6.1093718355,"8.92":6.0216322025,"8.93":5.8998012291,"8.94":5.7306075249,"8.950000000000001":5.5578344302,"8.96":5.3308487775,"8.97":5.0753026584,"8.98":4.7834468195,"8.99":4.4575227512,"9.0":4.082705562,"9.01":3.6819149681,"9.02":3.3026915442,"9.03":2.947741918,"9.040000000000001":2.6074837251,"9.05":2.2283453301,"9.06":1.8777516896,"9.07":1.5695720741,"9.08":1.3043454091,"9.09":1.0818279751,"9.1":0.9009534413,"9.11":0.7598646913,"9.120000000000001":0.6559914536,"9.13":0.5861557852,"9.14":0.5467005239,"9.15":0.5336341717,"9.16":0.5427845897,"9.17":0.5699535461,"9.18":0.6110641995,"9.19":0.6622945163,"9.200000000000001":0.7201903594,"9.21":0.7817537368,"9.22":0.8445105542,"9.23":0.9065275682,"9.24":0.9664090228,"9.25":1.0232709869,"9.26":1.0766865236,"9.27":1.1266107039,"9.28":1.173291352,"9.290000000000001":1.217172145,"9.3":1.2587950294,"9.31":1.2987088519,"9.32":1.33739063,"9.33":1.3751850364,"9.34":1.4122664853,"9.35":1.4486267653,"9.36":1.4840895177,"9.370000000000001":1.5183511351,"9.38":1.5510459167,"9.39":1.581831684,"9.4":1.6104890685,"9.41":1.6370328692,"9.42":1.6618253667,"9.43":1.6856790572,"9.44":1.7099482011,"9.450000000000001":1.7365991158,"9.46":1.768252899,"9.47":1.8081953715,"9.48":1.8603505011,"9.49":1.9292121043,"9.5":2.018594387,"9.51":2.1344425999,"9.52":2.2807343378,"9.53":2.4547789335,"9.540000000000001":2.65635713,"9.55":2.8708353163,"9.56":3.1260804354,"9.57":3.4243906136,"9.58":3.7671642041,"9.59":4.1505716613,"9.6":4.5206327221,"9.61":4.8758257445,"9.620000000000001":5.2212007759,"9.63":5.5405952697,"9.64":5.8307435222,"9.65":6.0820812304,"9.66":6.2956870865,"9.67":6.4697895612,"9.68":6.5513691264,"9.69":6.5594183567,"9.700000000000001":6.5352361153,"9.71":6.482569179,"9.72":6.3864978645,"9.73":6.2967838875,"9.74":6.2253854905,"9.75":6.1733088273,"9.76":6.1457162374,"9.77":6.1493309447,"9.78":6.1870215699,"9.790000000000001":6.2603049332,"9.8":6.3675528427,"9.81":6.5016855709,"9.82":6.6428007527,"9.83":6.756661808,"9.84":6.8465492857,"9.85":6.9130433182,"9.86":6.9373363591,"9.870000000000001":6.9127911526,"9.88":6.8450367747,"9.89":6.7450232517,"9.9":6.6204543047,"9.91":6.481451522,"9.92":6.3443247756,"9.93":6.1661780285,"9.94":6.0450103339,"9.950000000000001":5.931139471,"9.96":5.824849785,"9.97":5.7140766992,"9.98":5.5908633195,"9.99":5.4750344889,"10.0":5.3668122456,"10.01":5.2413145972,"10.02":5.1069065859,"10.03":4.9832603704,"10.040000000000001":4.8644081409,"10.05":4.7387753931,"10.06":4.6294292685,"10.07":4.5307990025,"10.08":4.4442816354,"10.09":4.3790876809,"10.1":4.3358808088,"10.11":4.3143996594,"10.120000000000001":4.3149254144,"10.13":4.337728672,"10.14":4.3822812673,"10.15":4.4429521495,"10.16":4.5126252222,"10.17":4.5991235253,"10.18":4.6822853016,"10.19":4.7700240967,"10.200000000000001":4.868487534,"10.21":4.9763909867,"10.22":5.0718008725,"10.23":5.2075110573,"10.24":5.2986353758,"10.25":5.3944970707,"10.26":5.4941579588,"10.27":5.5966344795,"10.28":5.7010051302,"10.290000000000001":5.7974899832,"10.3":5.8344920311,"10.31":5.9218793616,"10.32":6.0102345996,"10.33":6.098742127,"10.34":6.1865071876,"10.35":6.2725489352,"10.36":6.3558828379,"10.370000000000001":6.4354921398,"10.38":6.5106956694,"10.39":6.5742063348,"10.4":6.631832762,"10.41":6.6826044499,"10.42":6.7257406071,"10.43":6.760665827,"10.44":6.7854893271,"10.450000000000001":6.7937001308,"10.46":6.789200155,"10.47":6.7634251114,"10.48":6.7265349147,"10.49":6.6547596786,"10.5":6.568719831,"10.51":6.4750163572,"10.52":6.3748063753,"10.53":6.2694381208,"10.540000000000001":6.1481650184,"10.55":6.021266191,"10.56":5.8963158144,"10.57":5.7756490154,"10.58":5.6611097913,"10.59":5.5543710519,"10.6":5.4569898311,"10.61":5.370430167,"10.620000000000001":5.2958051372,"10.63":5.2340588806,"10.64":5.1858689545,"10.65":5.1516059042,"10.66":5.1313371028,"10.67":5.1248739016,"10.68":5.1277258707,"10.69":5.1292512131,"10.700000000000001":5.1414366911,"10.71":5.1629635998,"10.72":5.1922492702,"10.73":5.2277379784,"10.74":5.2678556074,"10.75":5.3103602602,"10.76":5.3534076474,"10.77":5.3965419722,"10.78":5.4366506079,"10.790000000000001":5.4643236526,"10.8":5.4843103698,"10.81":5.4997299141,"10.82":5.5096915035,"10.83":5.5135663057,"10.84":5.5107500906,"10.85":5.5009272437,"10.86":5.4839981597,"10.870000000000001":5.4479465157,"10.88":5.3992667515,"10.89":5.3422698718,"10.9":5.2771488885,"10.91":5.20340731,"10.92":5.1235447825,"10.93":5.0389970868,"10.94":4.9514033954,"10.950000000000001":4.8525463309,"10.96":4.735710161,"10.97":4.6134016861,"10.98":4.4800791668,"10.99":4.3359409265,"11.0":4.1890193447,"11.01":4.0389541755,"11.02":3.8786760663,"11.03":3.7252544871,"11.040000000000001":3.5916555598,"11.05":3.4843482836,"11.06":3.4049449898,"11.07":3.3546685971,"11.08":3.3343038728,"11.09":3.3442187689,"11.1":3.3843784715,"11.11":3.4543225241,"11.120000000000001":3.5531949047,"11.13":3.6797433291,"11.14":3.8323356594,"11.15":4.0089968871,"11.16":4.1976031012,"11.17":4.3816007665,"11.18":4.5573259129,"11.19":4.7271990537,"11.200000000000001":4.8907538629,"11.21":5.0430042227,"11.22":5.1772230077,"11.23":5.3070193914,"11.24":5.4174563482,"11.25":5.513362407,"11.26":5.6048681509,"11.27":5.6909481453,"11.28":5.7706357258,"11.290000000000001":5.8336646715,"11.3":5.8747356608,"11.31":5.910875514,"11.32":5.9418325431,"11.33":5.9674574032,"11.34":5.9876740959,"11.35":6.0024879242,"11.36":6.0119871322,"11.370000000000001":6.0163565709,"11.38":6.0158857866,"11.39":6.0109768844,"11.4":6.0021511701,"11.41":5.9900547503,"11.42":5.9754612415,"11.43":5.9592714164,"11.44":5.9425089096,"11.450000000000001":5.9263110042,"11.46":5.9119171431,"11.47":5.9006483038,"11.48":5.8938856084,"11.49":5.8931196554,"11.5":5.8998225578,"11.51":5.9152565652,"11.52":5.940715983,"11.53":5.9773769861,"11.540000000000001":6.0262415045,"11.55":6.0880962031,"11.56":6.1567916724,"11.57":6.2496910714,"11.58":6.3039032528,"11.59":6.3675486458,"11.6":6.4395386433,"11.61":6.5141795686,"11.620000000000001":6.566383086,"11.63":6.6211638818,"11.64":6.6718123939,"11.65":6.7237885976,"11.66":6.7650391545,"11.67":6.7988710493,"11.68":6.8319660207,"11.69":6.8532878591,"11.700000000000001":6.8736235595,"11.71":6.8925055855,"11.72":6.9037173413,"11.73":6.9144976016,"11.74":6.9265159205,"11.75":6.9253784605,"11.76":6.9197677146,"11.77":6.912518187,"11.78":6.8920963913,"11.790000000000001":6.8619139885,"11.8":6.8224965219,"11.81":6.7690449626,"11.82":6.7059899041,"11.83":6.627164651,"11.84":6.5335694043,"11.85":6.430474993,"11.86":6.3157079167,"11.870000000000001":6.1898377061,"11.88":6.0482171349,"11.89":5.8924280568,"11.9":5.7322221293,"11.91":5.5704096604,"11.92":5.410106699,"11.93":5.2565842263,"11.94":5.0958739935,"11.950000000000001":4.9479773454,"11.96":4.817682646,"11.97":4.7058604373,"11.98":4.5815380742,"11.99":4.4728346427,"12.0":4.3663275764,"12.01":4.2458901707,"12.02":4.0785565671,"12.030000000000001":3.8099436453,"12.040000000000001":3.4148816535,"12.05":3.0444267084,"12.06":2.7051802046,"12.07":2.3138219045,"12.08":1.9445782419,"12.09":1.613713153,"12.1":1.3201515132,"12.11":1.0629719155,"12.120000000000001":0.8414524928,"12.13":0.6550440345,"12.14":0.5032200718,"12.15":0.3854245589,"12.16":0.3010033008,"12.17":0.249137365,"12.18":0.2287862493,"12.19":0.2386462296,"12.200000000000001":0.2771280408,"12.21":0.3423565776,"12.22":0.4321937277,"12.23":0.5442839802,"12.24":0.6761209135,"12.25":0.8251312956,"12.26":0.9887722828,"12.27":1.1646362751,"12.280000000000001":1.350557201,"12.290000000000001":1.5447082867,"12.3":1.7437875868,"12.31":1.9467757853,"12.32":2.1517977868,"12.33":2.3611554775,"12.34":2.5671982652,"12.35":2.7634507582,"12.36":2.9513281314,"12.370000000000001":3.1481479466,"12.38":3.35288079,"12.39":3.568601541,"12.4":3.7988107006,"12.41":4.0446047251,"12.42":4.2991022166,"12.43":4.5284170146,"12.44":4.7418444478,"12.450000000000001":4.9446694956,"12.46":5.1308764313,"12.47":5.2926007856,"12.48":5.4383094255,"12.49":5.5614136842,"12.5":5.6871825332,"12.51":5.779988539,"12.52":5.8492480539,"12.530000000000001":5.9173270361,"12.540000000000001":6.0336528042,"12.55":6.0980826428,"12.56":6.1473879041,"12.57":6.1620793187,"12.58":6.1736861711,"12.59":6.1742735999,"12.6":6.1646168452,"12.61":6.1471195739,"12.620000000000001":6.1208158418,"12.63":6.0870873725,"12.64":6.0474834593,"12.65":6.0037904344,"12.66":5.9576896504,"12.67":5.9114823003,"12.68":5.866027667,"12.69":5.8203338981,"12.700000000000001":5.7614770887,"12.71":5.7042371521,"12.72":5.6483054921,"12.73":5.5922294904,"12.74":5.5347304884,"12.75":5.4477175348,"12.76":5.3291835187,"12.77":5.2090055909,"12.780000000000001":5.082553566,"12.790000000000001":4.94362729,"12.8":4.7784653892,"12.81":4.5863855452,"12.82":4.3858352415,"12.83":4.1835958229,"12.84":3.9734531732,"12.85":3.7659138114,"12.86":3.5895746911,"12.870000000000001":3.4489148866,"12.88":3.3440629977,"12.89":3.2747151871,"12.9":3.2401631564,"12.91":3.2393416175,"12.92":3.2708563997,"12.93":3.3330186371,"12.94":3.4238757086,"12.950000000000001":3.5412399294,"12.96":3.6827160863,"12.97":3.8457289245,"12.98":4.0271873033,"12.99":4.2156409595,"13.0":4.3948724536,"13.01":4.5632318922,"13.02":4.7239787865,"13.030000000000001":4.8741993295,"13.040000000000001":5.0131715953,"13.05":5.1463121697,"13.06":5.2568940014,"13.07":5.3624302596,"13.08":5.4597126365,"13.09":5.5324154806,"13.1":5.600316841,"13.11":5.6630676454,"13.120000000000001":5.7204604831,"13.13":5.7724731831,"13.14":5.8192446325,"13.15":5.8462393752,"13.16":5.8662941923,"13.17":5.883468532,"13.18":5.8983743992,"13.19":5.9113986134,"13.200000000000001":5.9230627087,"13.21":5.9339674555,"13.22":5.9447315345,"13.23":5.9559681359,"13.24":5.9682533933,"13.25":5.9820824136,"13.26":5.9978285813,"13.27":6.0653997957,"13.280000000000001":6.0881300171,"13.290000000000001":6.1136360718,"13.3":6.1321300629,"13.31":6.1376064142,"13.32":6.1395237743,"13.33":6.1344979322,"13.34":6.1211973235,"13.35":6.1009865668,"13.36":6.0744186972,"13.370000000000001":6.0416001475,"13.38":6.0043305337,"13.39":5.9642822412,"13.4":5.9257229808,"13.41":5.8900921908,"13.42":5.8609834862,"13.43":5.8400664918,"13.44":5.8276820728,"13.450000000000001":5.8247780151,"13.46":5.8313991208,"13.47":5.8458241376,"13.48":5.8684684322,"13.49":5.8973748847,"13.5":5.9276169208,"13.51":5.9599241205,"13.52":5.9899396212,"13.530000000000001":6.0074864662,"13.540000000000001":6.0033835413,"13.55":5.9888789898,"13.56":5.9618437541,"13.57":5.9212268073,"13.58":5.8725274606,"13.59":5.8245774053,"13.6":5.7497353427,"13.61":5.6665751118,"13.620000000000001":5.5904049922,"13.63":5.5240624552,"13.64":5.4679289877,"13.65":5.4225269331,"13.66":5.3883934522,"13.67":5.358642766,"13.68":5.3325153683,"13.69":5.3193828148,"13.700000000000001":5.3182243131,"13.71":5.3278268994,"13.72":5.3467603629,"13.73":5.3734252955,"13.74":5.4060851533,"13.75":5.4429169673,"13.76":5.4821206119,"13.77":5.5217829918,"13.780000000000001":5.5601548147,"13.790000000000001":5.5955980941,"13.8":5.626649742,"13.81":5.6520699767,"13.82":5.6708837611,"13.83":5.6824118792,"13.84":5.6862988129,"13.85":5.6825291424,"13.86":5.6714350214,"13.870000000000001":5.6536961131,"13.88":5.63032457,"13.89":5.6026415493,"13.9":5.5722480399,"13.91":5.540983775,"13.92":5.5108734353,"13.93":5.4840828545,"13.94":5.462850479,"13.950000000000001":5.4494415011,"13.96":5.4459976632,"13.97":5.4545508342,"13.98":5.477000408,"13.99":5.5148992739,"14.0":5.5584231343,"14.01":5.6064909006,"14.02":5.6685792646,"14.030000000000001":5.744740135,"14.040000000000001":5.8350762761,"14.05":5.8945436719,"14.06":5.9603220469,"14.07":6.033438859,"14.08":6.1127686563,"14.09":6.2447047167,"14.1":6.2901297494,"14.11":6.3369372951,"14.120000000000001":6.3840215757,"14.13":6.4301806575,"14.14":6.4690842224,"14.15":6.5044625152,"14.16":6.5369519662,"14.17":6.5548133406,"14.18":6.5659777394,"14.19":6.573259512,"14.200000000000001":6.5773050949,"14.21":6.5781342289,"14.22":6.5751144091,"14.23":6.567087782,"14.24":6.5559313737,"14.25":6.5417801836,"14.26":6.5248690103,"14.27":6.5054433317,"14.280000000000001":6.4728671965,"14.290000000000001":6.4357252133,"14.3":6.396211524,"14.31":6.3550668771,"14.32":6.3121373233,"14.33":6.2674597857,"14.34":6.2221781314,"14.35":6.1762480444,"14.36":6.1049797868,"14.370000000000001":6.0176914981,"14.38":5.9344300516,"14.39":5.8529005058,"14.4":5.7728169337,"14.41":5.6576567981,"14.42":5.550084096,"14.43":5.4506396344,"14.44":5.3609491547,"14.450000000000001":5.281038409,"14.46":5.2105363383,"14.47":5.1347453283,"14.48":5.0622037386,"14.49":4.9985833145,"14.5":4.9428653218,"14.51":4.8847949515,"14.52":4.8313776915,"14.530000000000001":4.7822147969,"14.540000000000001":4.7358828217,"14.55":4.6863861541,"14.56":4.6374988508,"14.57":4.5885999495,"14.58":4.5389729855,"14.59":4.4842349306,"14.6":4.4294577936,"14.61":4.3740531121,"14.620000000000001":4.3168679096,"14.63":4.2609334349,"14.64":4.2061442704,"14.65":4.1584583796,"14.66":4.1145938657,"14.67":4.0796072571,"14.68":4.0557092249,"14.69":4.0475444038,"14.700000000000001":4.0565791058,"14.71":4.0841684087,"14.72":4.1302196913,"14.73":4.1925608039,"14.74":4.2722172521,"14.75":4.3684202578,"14.76":4.4802434854,"14.77":4.5992762024,"14.780000000000001":4.7247060527,"14.790000000000001":4.8536998708,"14.8":4.9734934811,"14.81":5.0943078211,"14.82":5.1981867002,"14.83":5.303610257,"14.84":5.4088833585,"14.85":5.5217346734,"14.86":5.6298698664,"14.870000000000001":5.7083574091,"14.88":5.7698616538,"14.89":5.8242970769,"14.9":5.8716765483,"14.91":5.9135651642,"14.92":5.9458985329,"14.93":5.9718150143,"14.94":5.9892531195,"14.950000000000001":5.9994651669,"14.96":6.0026253778,"14.97":5.995741279,"14.98":5.9865813707,"14.99":5.9751095016,"15.0":5.9620335579,"15.01":5.9438827311,"15.02":5.924504488,"15.030000000000001":5.9047070715,"15.040000000000001":5.8839072746,"15.05":5.8635447147,"15.06":5.8430371376,"15.07":5.8227273068,"15.08":5.8020172367,"15.09":5.7821810236,"15.1":5.7614948538,"15.11":5.7425321207,"15.120000000000001":5.722088113,"15.13":5.702116866,"15.14":5.6856725293,"15.15":5.6597022565,"15.16":5.6312941757,"15.17":5.6132175647,"15.18":5.5980212074,"15.19":5.5909896197,"15.200000000000001":5.5891594111,"15.21":5.5918709388,"15.22":5.5966454485,"15.23":5.6049886137,"15.24":5.6161030415,"15.25":5.6291851246,"15.26":5.6434562732,"15.27":5.6581914068,"15.280000000000001":5.6727440453,"15.290000000000001":5.6865667911,"15.3":5.6992267726,"15.31":5.7104161195,"15.32":5.719978654,"15.33":5.7278471058,"15.34":5.7340978357,"15.35":5.7389199896,"15.36":5.7426007019,"15.370000000000001":5.7455065936,"15.38":5.7480623114,"15.39":5.7507269604,"15.4":5.7539693279,"15.41":5.7582428195,"15.42":5.7639610485,"15.43":5.7714755319,"15.44":5.7810553196,"15.450000000000001":5.7928662616,"15.46":5.8052429448,"15.47":5.817561828,"15.48":5.8312938232,"15.49":5.796561459,"15.5":5.8129142481,"15.51":5.8297971074,"15.52":5.8467803055,"15.530000000000001":5.8633956414,"15.540000000000001":5.8790919461,"15.55":5.8933116706,"15.56":5.9054919199,"15.57":5.9150803565,"15.58":5.9214798922,"15.59":5.9242179006,"15.6":5.9228852778,"15.610000000000001":5.917105381,"15.620000000000001":5.906582274,"15.63":5.8911299343,"15.64":5.870644559,"15.65":5.8451407399,"15.66":5.814743021,"15.67":5.764406132,"15.68":5.6992570633,"15.69":5.6281415548,"15.700000000000001":5.5520381352,"15.71":5.4716996005,"15.72":5.3851925052,"15.73":5.2720294424,"15.74":5.1578167202,"15.75":5.0286168849,"15.76":4.894050735,"15.77":4.7474304367,"15.780000000000001":4.5977205504,"15.790000000000001":4.4464470113,"15.8":4.2944457903,"15.81":4.1329754425,"15.82":3.9807036988,"15.83":3.8444294642,"15.84":3.728451135,"15.85":3.6336568045,"15.860000000000001":3.560194656,"15.870000000000001":3.5078651448,"15.88":3.4761570295,"15.89":3.4642927819,"15.9":3.471281646,"15.91":3.4959784946,"15.92":3.5371462385,"15.93":3.5935193694,"15.94":3.6638661242,"15.950000000000001":3.7470465572,"15.96":3.8420645426,"15.97":3.9480439742,"15.98":4.0628218834,"15.99":4.1832356893,"16.0":4.3043184046,"16.01":4.4184285356,"16.02":4.5339302154,"16.03":4.6493779031,"16.04":4.7646271817,"16.05":4.8804561135,"16.06":4.9951030457,"16.07":5.1036300939,"16.080000000000002":5.2115178295,"16.09":5.3161586885,"16.1":5.4075904669,"16.11":5.5047521963,"16.12":5.60738179,"16.13":5.705155108,"16.14":5.7732005125,"16.15":5.894284322,"16.16":5.9680585379,"16.17":6.0431192111,"16.18":6.1186081031,"16.19":6.1936090188,"16.2":6.2322046221,"16.21":6.2662425332,"16.22":6.2986894247,"16.23":6.3291037918,"16.240000000000002":6.3570414134,"16.25":6.3820542575,"16.26":6.4037033963,"16.27":6.4216603257,"16.28":6.4355620879,"16.29":6.4452239073,"16.3":6.4505637704,"16.31":6.4516493403,"16.32":6.4485002239,"16.330000000000002":6.4412621447,"16.34":6.4301502384,"16.35":6.4154786372,"16.36":6.3976192333,"16.37":6.3738361325,"16.38":6.3452326778,"16.39":6.3142728904,"16.4":6.2816556247,"16.41":6.2478625958,"16.42":6.2115779198,"16.43":6.0981842156,"16.44":6.0341042465,"16.45":5.9715746032,"16.46":5.91129719,"16.47":5.8538403583,"16.48":5.7996797721,"16.490000000000002":5.7432774207,"16.5":5.6679409545,"16.51":5.5994332507,"16.52":5.5378111748,"16.53":5.4829363712,"16.54":5.4345348599,"16.55":5.3922350544,"16.56":5.3556056499,"16.57":5.3241958903,"16.580000000000002":5.2975724443,"16.59":5.2753487671,"16.6":5.2572044624,"16.61":5.24292739,"16.62":5.2324340832,"16.63":5.2257657836,"16.64":5.2230845568,"16.65":5.2246891675,"16.66":5.2312701868,"16.67":5.2430873683,"16.68":5.2605085747,"16.69":5.2842966156,"16.7":5.314866056,"16.71":5.3528178135,"16.72":5.3986307097,"16.73":5.4496371407,"16.740000000000002":5.5063157323,"16.75":5.5731915252,"16.76":5.6507661959,"16.77":5.7235219085,"16.78":5.7823965253,"16.79":5.846377985,"16.8":5.9138947608,"16.81":5.9853293928,"16.82":6.0599831076,"16.830000000000002":6.1369389704,"16.84":6.1936312687,"16.85":6.2396232558,"16.86":6.2851609669,"16.87":6.3295564726,"16.88":6.372020621,"16.89":6.4069863302,"16.9":6.437514397,"16.91":6.464000674,"16.92":6.486092488,"16.93":6.4978236559,"16.94":6.5023139859,"16.95":6.5041039649,"16.96":6.5030159132,"16.97":6.4990544507,"16.98":6.4487883183,"16.990000000000002":6.4402852676,"17.0":6.4295434159,"17.01":6.4169498442,"17.02":6.4028099516,"17.03":6.3798839348,"17.04":6.3547102479,"17.05":6.3283444484,"17.06":6.3013079595,"17.07":6.2741723004,"17.080000000000002":6.2474599492,"17.09":6.2216386335,"17.1":6.1863719715,"17.11":6.1455205081,"17.12":6.1084595711,"17.13":6.0754203565,"17.14":6.0464813727,"17.150000000000002":6.0215517566,"17.16":6.0004046003,"17.17":5.9826962723,"17.18":5.9679654954,"17.19":5.9556604216,"17.2":5.9451081073,"17.21":5.9357544233,"17.22":5.9269578013,"17.23":5.9181079679,"17.240000000000002":5.9086324483,"17.25":5.9476158735,"17.26":5.9360105659,"17.27":5.9223984699,"17.28":5.9065290318,"17.29":5.8882191295,"17.3":5.8674171683,"17.31":5.8441722473,"17.32":5.8186272113,"17.330000000000002":5.7910070133,"17.34":5.754925824,"17.35":5.7088548872,"17.36":5.6609579814,"17.37":5.6123014063,"17.38":5.5636831626,"17.39":5.5142479862,"17.400000000000002":5.4654706509,"17.41":5.4178170144,"17.42":5.3717020394,"17.43":5.3274473248,"17.44":5.2852779129,"17.45":5.2453096103,"17.46":5.2075522271,"17.47":5.1719471026,"17.48":5.138334162,"17.490000000000002":5.0989583839,"17.5":5.0583069318,"17.51":5.0189703941,"17.52":4.9804269273,"17.53":4.9424803261,"17.54":4.9046030739,"17.55":4.8593887658,"17.56":4.8125517802,"17.57":4.7648724727,"17.580000000000002":4.7137306351,"17.59":4.6572662691,"17.6":4.599914521,"17.61":4.5377264897,"17.62":4.4739419681,"17.63":4.4069521075,"17.64":4.339686795,"17.650000000000002":4.2693933452,"17.66":4.1995900682,"17.67":4.1260035967,"17.68":4.0536763272,"17.69":3.9854076456,"17.7":3.9217078845,"17.71":3.8659644128,"17.72":3.8188656513,"17.73":3.780997572,"17.740000000000002":3.7528473266,"17.75":3.7348129933,"17.76":3.7272182407,"17.77":3.730330877,"17.78":3.7443838666,"17.79":3.769597327,"17.8":3.8061997411,"17.81":3.8544466184,"17.82":3.9146370202,"17.830000000000002":3.9871232126,"17.84":4.0684186774,"17.85":4.1584265317,"17.86":4.2517312076,"17.87":4.3500281654,"17.88":4.4545360522,"17.89":4.5627375725,"17.900000000000002":4.6751639511,"17.91":4.7916193481,"17.92":4.9076118508,"17.93":5.0201514199,"17.94":5.132779981,"17.95":5.2426114772,"17.96":5.3386111248,"17.97":5.4395723443,"17.98":5.5449243789,"17.990000000000002":5.6530659374,"18.0":5.7635968051,"18.01":5.8444593862,"18.02":5.9159720103,"18.03":5.9872321998,"18.04":6.056230317,"18.05":6.1184557248,"18.06":6.1764624738,"18.07":6.205836611,"18.080000000000002":6.2322681874,"18.09":6.252747784,"18.1":6.2708665104,"18.11":6.2848122062,"18.12":6.2954213205,"18.13":6.3001570895,"18.14":6.3019198308,"18.150000000000002":6.3007291518,"18.16":6.2965406872,"18.17":6.2894116222,"18.18":6.2794590422,"18.19":6.266890603,"18.2":6.2519375194,"18.21":6.2348551054,"18.22":6.215963695,"18.23":6.1956529545,"18.240000000000002":6.1744359122,"18.25":6.1530479042,"18.26":6.1312662932,"18.27":6.0825968635,"18.28":6.0298199609,"18.29":5.9771874948,"18.3":5.9204081475,"18.31":5.8650057904,"18.32":5.8119462671,"18.330000000000002":5.7609464058,"18.34":5.6815987576,"18.35":5.6020423717,"18.36":5.52842952,"18.37":5.4610207356,"18.38":5.4005704121,"18.39":5.3472279581,"18.400000000000002":5.3014476589,"18.41":5.2634553153,"18.42":5.2331289795,"18.43":5.2104032318,"18.44":5.1901148184,"18.45":5.1780391791,"18.46":5.1756999176,"18.47":5.1829301892,"18.48":5.1994861801,"18.490000000000002":5.2251103091,"18.5":5.2544485437,"18.51":5.2875952726,"18.52":5.3267159566,"18.53":5.3714645699,"18.54":5.4214357341,"18.55":5.4761547017,"18.56":5.5350691994,"18.57":5.5975362167,"18.580000000000002":5.6628094655,"18.59":5.7183421841,"18.6":5.7620537663,"18.61":5.8060857865,"18.62":5.8498407871,"18.63":5.892689399,"18.64":5.9339832726,"18.650000000000002":5.9730716987,"18.66":6.0093177108,"18.67":6.0421157831,"18.68":6.0709100172,"18.69":6.0952118789,"18.7":6.1145646829,"18.71":6.1287159635,"18.72":6.1374741272,"18.73":6.1407640537,"18.740000000000002":6.1386354493,"18.75":6.131270764,"18.76":6.1189611403,"18.77":6.1021130263,"18.78":6.0812369381,"18.79":6.0569321283,"18.8":6.0298667637,"18.81":6.0007549407,"18.82":5.9703395966,"18.830000000000002":5.9393533983,"18.84":5.9085117314,"18.85":5.8784864038,"18.86":5.8498851648,"18.87":5.8232346767,"18.88":5.7989312079,"18.89":5.7773228279,"18.900000000000002":5.7586451397,"18.91":5.7430121907,"18.92":5.7303596195,"18.93":5.7177557423,"18.94":5.7091034938,"18.95":5.7041580511,"18.96":5.7023767432,"18.97":5.7031627147,"18.98":5.70589476,"18.990000000000002":5.709726942,"19.0":5.7133511286,"19.01":5.7166956199,"19.02":5.7201380178,"19.03":5.7234363949,"19.04":5.7264000872,"19.05":5.7288971493,"19.06":5.7308515402,"19.07":5.7322385488,"19.080000000000002":5.7330773461,"19.09":5.7319379807,"19.1":5.7291086738,"19.11":5.7257240992,"19.12":5.721981165,"19.13":5.7180620109,"19.14":5.714114639,"19.150000000000002":5.7102278798,"19.16":5.7064368857,"19.17":5.7027197294,"19.18":5.6989785002,"19.19":5.6950589354,"19.2":5.6907547138,"19.21":5.6858191961,"19.22":5.6799807507,"19.23":5.6729602779,"19.240000000000002":5.6644899092,"19.25":5.6543315724,"19.26":5.642294719,"19.27":5.6282534886,"19.28":5.6121594446,"19.29":5.5940385155,"19.3":5.5740132917,"19.31":5.5523024783,"19.32":5.5291914981,"19.330000000000002":5.5050445631,"19.34":5.4802979121,"19.35":5.4554315558,"19.36":5.4309394061,"19.37":5.4073311513,"19.38":5.3851085166,"19.39":5.3647521976,"19.400000000000002":5.3466730681,"19.41":5.331230732,"19.42":5.3187150956,"19.43":5.3093399901,"19.44":5.3032396191,"19.45":5.3004763679,"19.46":5.3010356064,"19.47":5.3048469606,"19.48":5.3117980358,"19.490000000000002":5.3217484704,"19.5":5.3345470942,"19.51":5.3500490897,"19.52":5.3681319672,"19.53":5.388709378,"19.54":5.4117416607,"19.55":5.4372426592,"19.56":5.4652818772,"19.57":5.4959812659,"19.580000000000002":5.5295063638,"19.59":5.5660452243,"19.6":5.6057879989,"19.61":5.6489773966,"19.62":5.6860931871,"19.63":5.7174732467,"19.64":5.7985576277,"19.650000000000002":5.8381948975,"19.66":5.8770423483,"19.67":5.9180904127,"19.68":5.9611008569,"19.69":6.0057447713,"19.7":6.0516060057,"19.71":6.0981841699,"19.72":6.1438058403,"19.73":6.1854858934,"19.740000000000002":6.2065837837,"19.75":6.2262404798,"19.76":6.2443579984,"19.77":6.2608978319,"19.78":6.2747284618,"19.79":6.2838202872,"19.8":6.2904641991,"19.81":6.2944872223,"19.82":6.2948162547,"19.830000000000002":6.2923440955,"19.84":6.2857036108,"19.85":6.275940251,"19.86":6.2638285895,"19.87":6.2495599444,"19.88":6.2333751624,"19.89":6.2155553431,"19.900000000000002":6.1964331431,"19.91":6.1764154827,"19.92":6.1558455313,"19.93":6.1354653623,"19.94":6.1152885366,"19.95":6.0808930349,"19.96":6.0416762894,"19.97":5.9998242767,"19.98":5.9586755988,"19.990000000000002":5.9188442969}} \ No newline at end of file diff --git a/tests/output/output_3/component_index_vs_RE_value.json b/tests/output/output_3/component_index_vs_RE_value.json index d14903a..ad92e55 100644 --- a/tests/output/output_3/component_index_vs_RE_value.json +++ b/tests/output/output_3/component_index_vs_RE_value.json @@ -1 +1 @@ -{"0":{"1":329.0880682792,"2":115.1656743197,"3":0.259035152,"4":0.259035152,"5":0.259035152,"6":0.259035152,"7":0.259035152,"8":0.259035152,"9":0.259035152,"10":0.259035152}} +{"0":{"1":329.0880682792,"2":115.1948975423,"3":5.8374364027,"4":4.6549850714,"5":0.5182742614,"6":0.9198601895,"7":0.4896964258,"8":0.0451959899,"9":24.3012756712,"10":26.3665515702}} \ No newline at end of file diff --git a/tests/output/output_3/component_index_vs_pratio_col.json b/tests/output/output_3/component_index_vs_pratio_col.json index f6d6fbf..e946e69 100644 --- a/tests/output/output_3/component_index_vs_pratio_col.json +++ b/tests/output/output_3/component_index_vs_pratio_col.json @@ -1 +1 @@ -{"0":{"0":0.1036498399,"1":0.0699584532,"2":0.8263917069},"1":{"0":0.1034423069,"1":0.0717546399,"2":0.8248030531},"2":{"0":0.1018869025,"1":0.0852165828,"2":0.8128965147},"3":{"0":0.0913610782,"1":0.176317033,"2":0.7323218889},"4":{"0":0.0501644906,"1":0.5331610386,"2":0.4166744707},"5":{"0":0.01069995,"1":0.8933788102,"2":0.0959212398},"6":{"0":0.0025693759,"1":0.9846959849,"2":0.0127346391},"7":{"0":0.0051581681,"1":0.9938121418,"2":0.0010296901},"8":{"0":0.0113097072,"1":0.9886902928,"2":0.0},"9":{"0":0.0206264963,"1":0.9793735037,"2":0.0},"10":{"0":0.0335905894,"1":0.9664094106,"2":0.0},"11":{"0":0.0509286895,"1":0.9490713105,"2":0.0},"12":{"0":0.0734740415,"1":0.9265259585,"2":0.0},"13":{"0":0.1020944006,"1":0.8979055994,"2":0.0},"14":{"0":0.1376425472,"1":0.8623574528,"2":0.0},"15":{"0":0.1808855869,"1":0.8191144131,"2":0.0},"16":{"0":0.2323986642,"1":0.7676013358,"2":0.0},"17":{"0":0.2924150226,"1":0.7075849774,"2":0.0},"18":{"0":0.3606342299,"1":0.6393657701,"2":0.0},"19":{"0":0.4360110504,"1":0.5639889496,"2":0.0},"20":{"0":0.5165803523,"1":0.4834196477,"2":0.0},"21":{"0":0.599409524,"1":0.400590476,"2":0.0},"22":{"0":0.6807786951,"1":0.3192147481,"2":0.0000065568},"23":{"0":0.7566586389,"1":0.2433158272,"2":0.0000255338},"24":{"0":0.8234239933,"1":0.176523238,"2":0.0000527687},"25":{"0":0.8785652148,"1":0.1213509256,"2":0.0000838597},"26":{"0":0.9211423993,"1":0.0787432111,"2":0.0001143895},"27":{"0":0.9517928158,"1":0.0480656873,"2":0.000141497},"28":{"0":0.9723239904,"1":0.0275124962,"2":0.0001635134},"29":{"0":0.9851005165,"1":0.0147190347,"2":0.0001804487},"30":{"0":0.9924747464,"1":0.007333179,"2":0.0001920746},"31":{"0":0.9964133888,"1":0.0033869911,"2":0.0001996201},"32":{"0":0.9983546833,"1":0.0014413304,"2":0.0002039864},"33":{"0":0.9992345434,"1":0.0005591905,"2":0.0002062661},"34":{"0":0.9995997592,"1":0.0001929316,"2":0.0002073092},"35":{"0":0.9997379722,"1":0.0000543171,"2":0.0002077107},"36":{"0":0.9997854054,"1":0.0000067477,"2":0.0002078469},"37":{"0":0.9997957027,"1":0.0,"2":0.0002042973},"38":{"0":0.9997973432,"1":0.0,"2":0.0002026568},"39":{"0":0.9997977479,"1":0.0,"2":0.0002022521},"40":{"0":0.9997978368,"1":0.0,"2":0.0002021632},"41":{"0":0.999797854,"1":0.0,"2":0.000202146},"42":{"0":0.9997978569,"1":0.0,"2":0.0002021431},"43":{"0":0.9997978574,"1":0.0,"2":0.0002021426},"44":{"0":0.9997978574,"1":0.0,"2":0.0002021426},"45":{"0":0.9997978574,"1":0.0,"2":0.0002021426},"46":{"0":0.9997978574,"1":0.0,"2":0.0002021426},"47":{"0":0.9997978574,"1":0.0,"2":0.0002021426},"48":{"0":0.9997978574,"1":0.0,"2":0.0002021426},"49":{"0":0.9997978574,"1":0.0,"2":0.0002021426}} +{"0":{"0":0.0168483558,"1":0.117327529,"2":0.0,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.8658241152},"1":{"0":0.0179629734,"1":0.1170146489,"2":0.0,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.8650223778},"2":{"0":0.0262724752,"1":0.1146821194,"2":0.0,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.8590454054},"3":{"0":0.0805258769,"1":0.0994528482,"2":0.0,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.820021275},"4":{"0":0.2555019877,"1":0.0441429394,"2":0.0064862269,"3":0.0073345631,"4":1.146011953e-16,"5":3.546697364e-17,"6":8.140367365e-18,"7":3.231527263e-17,"8":4.990301329e-18,"9":0.6865342829},"5":{"0":0.4061366003,"1":0.0000654218,"2":0.0132761594,"3":0.0003124753,"4":2.346387479e-18,"5":2.896192144e-17,"6":1.213711146e-18,"7":2.770338831e-17,"8":3.260488575e-19,"9":0.5802093432},"6":{"0":0.449054886,"1":0.0,"2":0.0147890624,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.5361560515},"7":{"0":0.4516724924,"1":0.0,"2":0.015230926,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.5330965816},"8":{"0":0.4465301811,"1":0.0,"2":0.0156226071,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.5378472119},"9":{"0":0.4380744452,"1":0.0,"2":0.0161455081,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.5457800467},"10":{"0":0.4264071166,"1":0.0,"2":0.0168538394,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.556739044},"11":{"0":0.4148289826,"1":0.0043123039,"2":0.017697499,"3":0.0004905993,"4":3.474720006e-17,"5":5.777310661e-18,"6":3.34966024e-17,"7":4.447510266e-18,"8":3.152805328e-17,"9":0.5626706152},"12":{"0":0.4011490489,"1":0.0111071105,"2":0.0187456136,"3":0.0014332389,"4":3.953478394e-17,"5":1.111267914e-17,"6":3.906374586e-17,"7":9.685651253e-18,"8":3.549408614e-17,"9":0.5675649881},"13":{"0":0.3841734669,"1":0.0196221281,"2":0.0200615948,"3":0.0023327278,"4":2.522326894e-17,"5":5.313558256e-17,"6":2.131873785e-17,"7":3.610242092e-17,"8":6.274111642e-18,"9":0.5738100825},"14":{"0":0.3636549619,"1":0.0300043761,"2":0.0216688716,"3":0.0031277202,"4":3.288153694e-17,"5":3.413422277e-18,"6":3.209816748e-17,"7":2.085207332e-18,"8":2.901151457e-17,"9":0.5815440702},"15":{"0":0.3395655167,"1":0.0424597029,"2":0.0236050523,"3":0.0031976087,"4":5.746894537e-17,"5":2.678184911e-17,"6":5.355612749e-17,"7":2.380789845e-17,"8":5.143729232e-17,"9":0.5911721194},"16":{"0":0.3118806072,"1":0.0567959587,"2":0.0258342655,"3":0.0032068532,"4":2.737908101e-17,"5":5.697172716e-17,"6":2.525153279e-17,"7":5.477632262e-17,"8":2.381830614e-17,"9":0.6022823153},"17":{"0":0.2809213168,"1":0.0728278083,"2":0.0283271347,"3":0.0032171912,"4":1.063655904e-16,"5":1.39931364e-17,"6":4.466989042e-17,"7":1.387778602e-17,"8":4.396144972e-17,"9":0.6147065489},"18":{"0":0.2473168644,"1":0.0902294193,"2":0.0310329947,"3":0.0032284124,"4":5.708350806e-17,"5":2.552189034e-17,"6":5.66807739e-17,"7":2.508600621e-17,"8":5.530763378e-17,"9":0.6281923092},"19":{"0":0.2120123944,"1":0.1085113614,"2":0.0338757416,"3":0.0032402013,"4":1.261304571e-16,"5":2.910178085e-17,"6":6.081715666e-17,"7":2.73617201e-17,"8":5.492411636e-17,"9":0.6423603013},"20":{"0":0.1762369906,"1":0.1270371702,"2":0.0367564085,"3":0.0032521475,"4":5.011707666e-17,"5":1.602241291e-17,"6":4.901316229e-17,"7":1.059994125e-17,"8":4.194337415e-17,"9":0.6567172833},"21":{"0":0.1414069941,"1":0.1450734126,"2":0.0395609504,"3":0.003263778,"4":9.04426869e-17,"5":5.594916817e-17,"6":2.167730137e-17,"7":5.407301009e-17,"8":1.977703592e-17,"9":0.670694865},"22":{"0":0.1089649458,"1":0.1618748962,"2":0.0421735466,"3":0.0032687469,"4":2.025346899e-17,"5":4.78285362e-17,"6":1.124366533e-17,"7":4.275183056e-17,"8":7.725132856e-18,"9":0.6837178645},"23":{"0":0.0801810212,"1":0.1767986608,"2":0.0444946526,"3":0.0032186804,"4":6.820673466e-18,"5":3.876675101e-17,"6":1.768636834e-18,"7":3.225350444e-17,"8":6.455904412e-17,"9":0.695306985},"24":{"0":0.0559427859,"1":0.189365596,"2":0.046449199,"3":0.0031765207,"4":2.276258085e-17,"5":5.826882038e-17,"6":1.660093435e-17,"7":5.136226195e-17,"8":8.729763766e-18,"9":0.7050658984},"25":{"0":0.0366470633,"1":0.1993699587,"2":0.0480051862,"3":0.0031429579,"4":8.67235385e-17,"5":5.050123714e-17,"6":1.420989364e-17,"7":4.764800072e-17,"8":1.024884564e-17,"9":0.7128348339},"26":{"0":0.0221731668,"1":0.2068743219,"2":0.0491723463,"3":0.0031177821,"4":4.746986759e-17,"5":1.074970294e-17,"6":4.41946748e-17,"7":4.781835484e-18,"8":4.090038725e-17,"9":0.7186623829},"27":{"0":0.011978764,"1":0.2121748779,"2":0.0499971849,"3":0.0030513758,"4":2.065360703e-17,"5":5.629411166e-17,"6":1.889775622e-17,"7":4.781741198e-17,"8":1.12436204e-17,"9":0.7227977974},"28":{"0":0.0052756543,"1":0.2157441734,"2":0.0505550643,"3":0.0027351542,"4":4.207732493e-17,"5":5.097127229e-18,"6":4.08430727e-17,"7":1.590182423e-18,"8":3.610812023e-17,"9":0.7256899539},"29":{"0":0.0011851247,"1":0.2180607643,"2":0.0509210858,"3":0.0020931008,"4":6.038140987e-17,"5":2.318324433e-17,"6":5.60307935e-17,"7":1.579304212e-17,"8":5.020077185e-17,"9":0.7277399245},"30":{"0":0.0,"1":0.2201296428,"2":0.0512010121,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7286693452},"31":{"0":0.0,"1":0.221107872,"2":0.0512717061,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7276204219},"32":{"0":0.0,"1":0.2215894166,"2":0.0513064746,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7271041088},"33":{"0":0.0,"1":0.2218075655,"2":0.0513222254,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7268702091},"34":{"0":0.0,"1":0.2218980933,"2":0.0513287617,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.726773145},"35":{"0":0.0,"1":0.2219323412,"2":0.0513312345,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267364242},"36":{"0":0.0,"1":0.2219440931,"2":0.051332083,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267238239},"37":{"0":0.0,"1":0.2219477314,"2":0.0513323457,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267199229},"38":{"0":0.0,"1":0.2219487421,"2":0.0513324187,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267188392},"39":{"0":0.0,"1":0.2219489926,"2":0.0513324368,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267185706},"40":{"0":0.0,"1":0.2219490477,"2":0.0513324408,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267185116},"41":{"0":0.0,"1":0.2219490583,"2":0.0513324415,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267185001},"42":{"0":0.0,"1":0.2219490602,"2":0.0513324417,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267184982},"43":{"0":0.0,"1":0.2219490604,"2":0.0513324417,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267184979},"44":{"0":0.0,"1":0.2219490605,"2":0.0513324417,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267184979},"45":{"0":0.0,"1":0.2219490605,"2":0.0513324417,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267184978},"46":{"0":0.0,"1":0.2219490605,"2":0.0513324417,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267184978},"47":{"0":0.0,"1":0.2219490605,"2":0.0513324417,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267184978},"48":{"0":0.0,"1":0.2219490605,"2":0.0513324417,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267184978},"49":{"0":0.0,"1":0.2219490605,"2":0.0513324417,"3":0.0,"4":0.0,"5":0.0,"6":0.0,"7":0.0,"8":0.0,"9":0.7267184978}} \ No newline at end of file diff --git a/tests/output/output_3/x_index_vs_y_col_components.json b/tests/output/output_3/x_index_vs_y_col_components.json index 485a9eb..b907d95 100644 --- a/tests/output/output_3/x_index_vs_y_col_components.json +++ b/tests/output/output_3/x_index_vs_y_col_components.json @@ -1 +1 @@ -{"0":{"5.0":0.7366787942,"5.01":0.733072833,"5.0200000000000005":0.7302910885,"5.03":0.7280342722,"5.04":0.7260898657,"5.05":0.7243317704,"5.0600000000000005":0.7227167403,"5.07":0.7212780043,"5.08":0.7201165475,"5.09":0.7193905608,"5.1000000000000005":0.7193035847,"5.11":0.720091861,"5.12":0.7220113828,"5.13":0.725325087,"5.14":0.7302905745,"5.15":0.737148685,"5.16":0.7461131788,"5.17":0.7573617163,"5.18":0.7710282596,"5.19":0.7871969647,"5.2":0.8058975851,"5.21":0.8271023713,"5.22":0.8507244205,"5.23":0.8766174159,"5.24":0.904576684,"5.25":0.9343414962,"5.26":0.9655985441,"5.2700000000000005":0.99798652,"5.28":1.0311017386,"5.29":1.0645047391,"5.3":1.0977277986,"5.3100000000000005":1.1302832842,"5.32":1.1616727523,"5.33":1.1913966817,"5.34":1.2189647016,"5.3500000000000005":1.2439061419,"5.36":1.2657806998,"5.37":1.2841889842,"5.38":1.2987826656,"5.39":1.3092739401,"5.4":1.3154439955,"5.41":1.3171501668,"5.42":1.3143314777,"5.43":1.3070122881,"5.44":1.2953038119,"5.45":1.2794033199,"5.46":1.2595909187,"5.47":1.2362238751,"5.48":1.2097285473,"5.49":1.1805900831,"5.5":1.149340139,"5.51":1.1165429705,"5.5200000000000005":1.0827803284,"5.53":1.0486356641,"5.54":1.0146782041,"5.55":0.9814474829,"5.5600000000000005":0.9494389313,"5.57":0.9190910973,"5.58":0.8907750326,"5.59":0.8647863037,"5.6000000000000005":0.8413399908,"5.61":0.8205689239,"5.62":0.8025252686,"5.63":0.7871854343,"5.64":0.7744581294,"5.65":0.7641952415,"5.66":0.7562050876,"5.67":0.7502674583,"5.68":0.7461497825,"5.69":0.7436236713,"5.7":0.7424810603,"5.71":0.7425491677,"5.72":0.7437035172,"5.73":0.745878347,"5.74":0.7490738227,"5.75":0.7533596099,"5.76":0.7588745155,"5.7700000000000005":0.7658220821,"5.78":0.7744622071,"5.79":0.7850990422,"5.8":0.7980656144,"5.8100000000000005":0.8137057708,"5.82":0.8323541985,"5.83":0.854315377,"5.84":0.879842404,"5.8500000000000005":0.9091166673,"5.86":0.9422293294,"5.87":0.9791655435,"5.88":1.0197922209,"5.89":1.0638500446,"5.9":1.1109502496,"5.91":1.1605765042,"5.92":1.2120920084,"5.93":1.2647517079,"5.94":1.3177192962,"5.95":1.3700884702,"5.96":1.4209077082,"5.97":1.4692076786,"5.98":1.5140302612,"5.99":1.5544580758,"6.0":1.5896433787,"6.01":1.6188351961,"6.0200000000000005":1.6414036247,"6.03":1.6568603375,"6.04":1.6648744782,"6.05":1.6652833169,"6.0600000000000005":1.6580972477,"6.07":1.6434989413,"6.08":1.6218367048,"6.09":1.5936123363,"6.1000000000000005":1.5594639839,"6.11":1.520144722,"6.12":1.4764977215,"6.13":1.4294290242,"6.140000000000001":1.3798790109,"6.15":1.3287936924,"6.16":1.2770969352,"6.17":1.2256646723,"6.18":1.1753020426,"6.19":1.1267242511,"6.2":1.080541765,"6.21":1.0372502546,"6.22":0.9972254692,"6.23":0.9607230158,"6.24":0.9278827939,"6.25":0.8987376398,"6.26":0.8732255595,"6.2700000000000005":0.8512047923,"6.28":0.8324708456,"6.29":0.8167745845,"6.3":0.8038404508,"6.3100000000000005":0.7933839186,"6.32":0.7851273733,"6.33":0.7788137103,"6.34":0.7742171034,"6.3500000000000005":0.7711505547,"6.36":0.7694700279,"6.37":0.7690751514,"6.38":0.7699066639,"6.390000000000001":0.7719409433,"6.4":0.775182107,"6.41":0.7796522884,"6.42":0.7853807766,"6.43":0.7923927473,"6.44":0.8006983162,"6.45":0.8102826087,"6.46":0.8210974631,"6.47":0.8330552793,"6.48":0.8460253898,"6.49":0.8598331792,"6.5":0.8742620152,"6.51":0.8890578926,"6.5200000000000005":0.9039365366,"6.53":0.9185925732,"6.54":0.9327102586,"6.55":0.9459751794,"6.5600000000000005":0.9580862785,"6.57":0.9687675542,"6.58":0.9777788003,"6.59":0.9849248153,"6.6000000000000005":0.9900626002,"6.61":0.9931061826,"6.62":0.994028841,"6.63":0.992862656,"6.640000000000001":0.9896954649,"6.65":0.9846654454,"6.66":0.9779536882,"6.67":0.9697752307,"6.68":0.960369107,"6.69":0.9499880236,"6.7":0.9388882843,"6.71":0.927320566,"6.72":0.9155220933,"6.73":0.9037106647,"6.74":0.8920808712,"6.75":0.8808027024,"6.76":0.8700225882,"6.7700000000000005":0.8598667619,"6.78":0.8504466782,"6.79":0.8418660801,"6.8":0.8342291866,"6.8100000000000005":0.8276493852,"6.82":0.8222577529,"6.83":0.8182107167,"6.84":0.8156961803,"6.8500000000000005":0.8149375113,"6.86":0.8161948792,"6.87":0.8197635681,"6.88":0.8259690479,"6.890000000000001":0.8351587636,"6.9":0.8476907907,"6.91":0.8639196914,"6.92":0.8841800811,"6.93":0.9087685732,"6.94":0.9379248968,"6.95":0.9718130733,"6.96":1.0105035885,"6.97":1.0539575007,"6.98":1.1020133826,"6.99":1.1543779073,"7.0":1.2106207564,"7.01":1.270174362,"7.0200000000000005":1.3323387953,"7.03":1.3962918961,"7.04":1.4611045104,"7.05":1.5257604734,"7.0600000000000005":1.5891807565,"7.07":1.6502510044,"7.08":1.7078515192,"7.09":1.760888627,"7.1000000000000005":1.808326276,"7.11":1.8492166914,"7.12":1.8827289239,"7.13":1.9081742052,"7.140000000000001":1.9250271393,"7.15":1.9329419158,"7.16":1.9317629315,"7.17":1.9215294209,"7.18":1.9024739388,"7.19":1.8750147764,"7.2":1.8397426306,"7.21":1.7974020683,"7.22":1.7488685202,"7.23":1.6951217024,"7.24":1.6372164855,"7.25":1.5762523043,"7.26":1.5133422348,"7.2700000000000005":1.4495828409,"7.28":1.3860258324,"7.29":1.3236524687,"7.3":1.2633514979,"7.3100000000000005":1.2059012554,"7.32":1.1519563501,"7.33":1.1020391697,"7.34":1.05653623,"7.3500000000000005":1.015699202,"7.36":0.9796502688,"7.37":0.9483913107,"7.38":0.9218162912,"7.390000000000001":0.8997261248,"7.4":0.8818452524,"7.41":0.8678391335,"7.42":0.8573318806,"7.43":0.849923317,"7.44":0.8452048158,"7.45":0.8427733885,"7.46":0.8422436089,"7.47":0.8432570962,"7.48":0.8454894148,"7.49":0.8486543841,"7.5":0.8525059154,"7.51":0.8568376019,"7.5200000000000005":0.8614803788,"7.53":0.866298638,"7.54":0.8711852239,"7.55":0.8760557555,"7.5600000000000005":0.8808427144,"7.57":0.8854897099,"7.58":0.8899462832,"7.59":0.8941635528,"7.6000000000000005":0.8980909254,"7.61":0.9016740202,"7.62":0.9048538672,"7.63":0.9075673648,"7.640000000000001":0.9097489051,"7.65":0.9113330136,"7.66":0.9122577979,"7.67":0.9124689648,"7.68":0.9119241399,"7.69":0.9105972211,"7.7":0.9084825003,"7.71":0.9055983122,"7.72":0.9019899948,"7.73":0.8977319887,"7.74":0.8929289451,"7.75":0.8877157591,"7.76":0.8822564944,"7.7700000000000005":0.8763438509,"7.78":0.8705722161,"7.79":0.8655623823,"7.8":0.8615689064,"7.8100000000000005":0.8586946034,"7.82":0.8564403063,"7.83":0.8556040804,"7.84":0.8564315834,"7.8500000000000005":0.8591508142,"7.86":0.8639654187,"7.87":0.8710483015,"7.88":0.8805356942,"7.890000000000001":0.8925218215,"7.9":0.9070542962,"7.91":0.9241303608,"7.92":0.9436940844,"7.930000000000001":0.9656346106,"7.94":0.9897855365,"7.95":1.0159254926,"7.96":1.043779972,"7.97":1.0730244403,"7.98":1.1032887313,"7.99":1.1341627103,"8.0":1.1652031525,"8.01":1.1959417528,"8.02":1.2258941458,"8.03":1.2545697782,"8.040000000000001":1.2814824384,"8.05":1.3061612104,"8.06":1.3281028263,"8.07":1.3469533482,"8.08":1.3624521943,"8.09":1.3742710355,"8.1":1.3820144713,"8.11":1.3856160947,"8.120000000000001":1.3849945568,"8.13":1.3801519808,"8.14":1.3711757454,"8.15":1.3582380711,"8.16":1.3415933486,"8.17":1.3215732212,"8.18":1.29857951,"8.19":1.273075149,"8.2":1.2455733648,"8.21":1.2166254065,"8.22":1.1868071829,"8.23":1.1567052102,"8.24":1.1269022977,"8.25":1.0979634152,"8.26":1.0704221765,"8.27":1.0447683535,"8.28":1.0214367958,"8.290000000000001":1.0007980763,"8.3":0.9831511208,"8.31":0.9687180014,"8.32":0.9576409944,"8.33":0.9499819204,"8.34":0.9457237024,"8.35":0.9447739993,"8.36":0.9469707074,"8.370000000000001":0.9520890628,"8.38":0.9598500337,"8.39":0.9699296662,"8.4":0.9819690315,"8.41":0.995584426,"8.42":1.010377495,"8.43":1.0259449804,"8.44":1.0418878345,"8.45":1.0578194937,"8.46":1.0733731579,"8.47":1.0882079832,"8.48":1.1020141451,"8.49":1.1145167868,"8.5":1.1254789058,"8.51":1.1347032724,"8.52":1.142033496,"8.53":1.1473543676,"8.540000000000001":1.1505916143,"8.55":1.1517111898,"8.56":1.1507182096,"8.57":1.1476556166,"8.58":1.1426026355,"8.59":1.1356730398,"8.6":1.127013231,"8.61":1.1168000991,"8.620000000000001":1.1052386124,"8.63":1.092559074,"8.64":1.0790139728,"8.65":1.0648743651,"8.66":1.0504257346,"8.67":1.0359633026,"8.68":1.0217867908,"8.69":1.0081946741,"8.700000000000001":0.9954780034,"8.71":0.9839139144,"8.72":0.9737589838,"8.73":0.9652426198,"8.74":0.958560708,"8.75":0.9538697453,"8.76":0.951281703,"8.77":0.9508598512,"8.78":0.9526157591,"8.790000000000001":0.9565076531,"8.8":0.96244027,"8.81":0.9702662924,"8.82":0.9797893905,"8.83":0.9907688344,"8.84":1.0029255707,"8.85":1.0159495999,"8.86":1.029508428,"8.870000000000001":1.0432563225,"8.88":1.05684406,"8.89":1.0699288324,"8.9":1.0821839645,"8.91":1.0933081055,"8.92":1.1030335727,"8.93":1.1111335637,"8.94":1.1174279971,"8.950000000000001":1.1217878006,"8.96":1.1241375279,"8.97":1.1244562548,"8.98":1.1227767718,"8.99":1.1191831601,"9.0":1.1138068923,"9.01":1.1068216567,"9.02":1.09843714,"9.03":1.0888920348,"9.040000000000001":1.0784465496,"9.05":1.067374704,"9.06":1.0559566766,"9.07":1.0444714524,"9.08":1.0331899811,"9.09":1.0223690185,"9.1":1.0122457779,"9.11":1.0030334695,"9.120000000000001":0.9949177631,"9.13":0.9880541616,"9.14":0.9825662431,"9.15":0.9785446933,"9.16":0.9760470354,"9.17":0.9750979533,"9.18":0.9756901004,"9.19":0.9777852979,"9.200000000000001":0.9813160408,"9.21":0.9861872491,"9.22":0.9922782278,"9.23":0.9994448247,"9.24":1.0075217982,"9.25":1.0163254256,"9.26":1.0256564005,"9.27":1.03530307,"9.28":1.0450450632,"9.290000000000001":1.0546573493,"9.3":1.063914746,"9.31":1.0725968678,"9.32":1.0804934725,"9.33":1.0874101236,"9.34":1.0931740473,"9.35":1.0976400221,"9.36":1.1006961058,"9.370000000000001":1.1022689739,"9.38":1.1023286266,"9.39":1.1008922117,"9.4":1.0980267199,"9.41":1.0938503245,"9.42":1.0885321739,"9.43":1.0822904927,"9.44":1.0753889042,"9.450000000000001":1.0681309567,"9.46":1.0608529117,"9.47":1.053914929,"9.48":1.0476908607,"9.49":1.0425569423,"9.5":1.0388797277,"9.51":1.0370036732,"9.52":1.0372388088,"9.53":1.0398489546,"9.540000000000001":1.0450409437,"9.55":1.0529552881,"9.56":1.0636586889,"9.57":1.0771387316,"9.58":1.0933010325,"9.59":1.1119690153,"9.6":1.1328863986,"9.61":1.1557223709,"9.620000000000001":1.1800793253,"9.63":1.205502927,"9.64":1.2314941908,"9.65":1.257523167,"9.66":1.2830437706,"9.67":1.3075092394,"9.68":1.3303876857,"9.69":1.3511771995,"9.700000000000001":1.3694199821,"9.71":1.3847150287,"9.72":1.3967289357,"9.73":1.4052044859,"9.74":1.4099667515,"9.75":1.4109265522,"9.76":1.4080812082,"9.77":1.4015126271,"9.78":1.3913828647,"9.790000000000001":1.3779273871,"9.8":1.3614463379,"9.81":1.34229418,"9.82":1.3208681238,"9.83":1.2975957847,"9.84":1.2729225183,"9.85":1.2472988739,"9.86":1.2211685808,"9.870000000000001":1.1949574393,"9.88":1.1690634339,"9.89":1.1438483241,"9.9":1.1196308961,"9.91":1.0966819887,"9.92":1.0752213302,"9.93":1.0554161599,"9.94":1.0373815401,"9.950000000000001":1.0211822143,"9.96":1.0068358213,"9.97":0.9943172446,"9.98":0.9835638546,"9.99":0.9744813923,"10.0":0.966950246,"12.0":1.07031872,"12.01":1.0693361499,"12.02":1.0686811325,"12.030000000000001":1.0682920542,"12.040000000000001":1.0681059258,"12.05":1.0680613731,"12.06":1.0681013758,"12.07":1.06817565,"12.08":1.0682425869,"12.09":1.0682706807,"12.1":1.0682394075,"12.11":1.0681395354,"12.120000000000001":1.0679728762,"12.13":1.0677515102,"12.14":1.0674965364,"12.15":1.0672364221,"12.16":1.0670050373,"12.17":1.0668394742,"12.18":1.0667777543,"12.19":1.0668565329,"12.200000000000001":1.0671089025,"12.21":1.0675623957,"12.22":1.0682372716,"12.23":1.0691451604,"12.24":1.0702881214,"12.25":1.0716581502,"12.26":1.0732371532,"12.27":1.0749973853,"12.280000000000001":1.076902326,"12.290000000000001":1.0789079531,"12.3":1.0809643553,"12.31":1.0830176092,"12.32":1.0850118405,"12.33":1.0868913771,"12.34":1.0886029032,"12.35":1.0900975204,"12.36":1.0913326312,"12.370000000000001":1.0922735643,"12.38":1.0928948765,"12.39":1.0931812779,"12.4":1.0931281462,"12.41":1.0927416098,"12.42":1.0920382041,"12.43":1.0910441167,"12.44":1.0897940605,"12.450000000000001":1.0883298254,"12.46":1.0866985746,"12.47":1.0849509612,"12.48":1.0831391469,"12.49":1.0813148093,"12.5":1.0795272224,"12.51":1.0778214915,"12.52":1.0762370147,"12.530000000000001":1.0748062336,"12.540000000000001":1.0735537205,"12.55":1.0724956348,"12.56":1.0716395639,"12.57":1.0709847461,"12.58":1.0705226553,"12.59":1.0702379125,"12.6":1.0701094727,"12.61":1.0701120253,"12.620000000000001":1.0702175373,"12.63":1.0703968609,"12.64":1.070621329,"12.65":1.0708642597,"12.66":1.0711023007,"12.67":1.0713165498,"12.68":1.0714934019,"12.69":1.0716250856,"12.700000000000001":1.0717098688,"12.71":1.0717519299,"12.72":1.0717609056,"12.73":1.0717511454,"12.74":1.071740714,"12.75":1.0717501973,"12.76":1.0718013753,"12.77":1.0719158325,"12.780000000000001":1.0721135773,"12.790000000000001":1.0724117426,"12.8":1.0728234334,"12.81":1.0733567806,"12.82":1.0740142481,"12.83":1.0747922278,"12.84":1.0756809426,"12.85":1.0766646611,"12.86":1.0777222132,"12.870000000000001":1.0788277786,"12.88":1.0799519101,"12.89":1.0810627388,"12.9":1.0821273027,"12.91":1.0831129318,"12.92":1.0839886233,"12.93":1.0847263411,"12.94":1.085302176,"12.950000000000001":1.0856973155,"12.96":1.0858987775,"12.97":1.0858998778,"12.98":1.0857004142,"12.99":1.0853065633,"13.0":1.0847305024,"13.01":1.0839897809,"13.02":1.0831064779,"13.030000000000001":1.0821061929,"13.040000000000001":1.0810169234,"13.05":1.0798678874,"13.06":1.0786883503,"13.07":1.0775065133,"13.08":1.076348516,"13.09":1.0752375974,"13.1":1.0741934515,"13.11":1.0732317996,"13.120000000000001":1.0723641926,"13.13":1.0715980394,"13.14":1.0709368507,"13.15":1.0703806704,"13.16":1.0699266625,"13.17":1.0695698101,"13.18":1.0693036801,"13.19":1.0691212047,"13.200000000000001":1.069015431,"13.21":1.0689801928,"13.22":1.0690106664,"13.23":1.0691037779,"13.24":1.0692584394,"13.25":1.0694756042,"13.26":1.069758139,"13.27":1.0701105247,"13.280000000000001":1.0705384056,"13.290000000000001":1.0710480174,"13.3":1.0716455301,"13.31":1.0723363472,"13.32":1.0731244053,"13.33":1.0740115181,"13.34":1.0749968066,"13.35":1.0760762502,"13.36":1.0772423915,"13.370000000000001":1.0784842127,"13.38":1.0797871986,"13.39":1.081133584,"13.4":1.0825027807,"13.41":1.0838719631,"13.42":1.0852167858,"13.43":1.0865122011,"13.44":1.0877333348,"13.450000000000001":1.0888563799,"13.46":1.0898594646,"13.47":1.090723453,"13.48":1.0914326409,"13.49":1.0919753148,"13.5":1.0923441484,"13.51":1.0925364205,"13.52":1.0925540465,"13.530000000000001":1.0924034251,"13.540000000000001":1.0920951115,"13.55":1.0916433347,"13.56":1.0910653874,"13.57":1.0903809166,"13.58":1.0896111546,"13.59":1.0887781235,"13.6":1.0879038531,"13.61":1.0870096464,"13.620000000000001":1.0861154235,"13.63":1.0852391702,"13.64":1.0843965119,"13.65":1.0836004229,"13.66":1.0828610777,"13.67":1.0821858414,"13.68":1.0815793874,"13.69":1.08104393,"13.700000000000001":1.080579546,"13.71":1.0801845656,"13.72":1.0798560012,"13.73":1.0795899896,"13.74":1.079382219,"13.75":1.0792283186,"13.76":1.0791241879,"13.77":1.0790662527,"13.780000000000001":1.0790516348,"13.790000000000001":1.0790782333,"13.8":1.0791447157,"13.81":1.0792504283,"13.82":1.0793952351,"13.83":1.0795793016,"13.84":1.0798028412,"13.85":1.0800658445,"13.86":1.080367812,"13.870000000000001":1.0807075091,"13.88":1.0810827615,"13.89":1.0814903065,"13.9":1.0819257095,"13.91":1.0823833541,"13.92":1.082856507,"13.93":1.0833374557,"13.94":1.0838177124,"13.950000000000001":1.0842882731,"13.96":1.0847399183,"13.97":1.0851635404,"13.98":1.085550478,"13.99":1.0858928427,"14.0":1.0861838189,"14.01":1.0864179219,"14.02":1.0865912026,"14.030000000000001":1.0867013874,"14.040000000000001":1.0867479474,"14.05":1.086732095,"14.06":1.0866567084,"14.07":1.0865261893,"14.08":1.0863462614,"14.09":1.0861237214,"14.1":1.0858661548,"14.11":1.0855816302,"14.120000000000001":1.0852783885,"14.13":1.0849645399,"14.14":1.084647782,"14.15":1.0843351526,"14.16":1.0840328242,"14.17":1.0837459498,"14.18":1.0834785616,"14.19":1.0832335259,"14.200000000000001":1.0830125516,"14.21":1.082816248,"14.22":1.0826442262,"14.23":1.0824952363,"14.24":1.0823673296,"14.25":1.0822580372,"14.26":1.0821645551,"14.27":1.0820839252,"14.280000000000001":1.0820132036,"14.290000000000001":1.0819496104,"14.3":1.0818906535,"14.31":1.0818342228,"14.32":1.081778654,"14.33":1.0817227599,"14.34":1.0816658323,"14.35":1.0816076167,"14.36":1.081548264,"14.370000000000001":1.0814882644,"14.38":1.0814283692,"14.39":1.0813695058,"14.4":1.0813126923,"14.41":1.0812589548,"14.42":1.0812092552,"14.43":1.0811644286,"14.44":1.0811251364,"14.450000000000001":1.0810918342,"14.46":1.0810647561,"14.47":1.0810439133,"14.48":1.0810291072,"14.49":1.0810199532,"14.5":1.0810159142,"14.51":1.081016339,"14.52":1.0810205046,"14.530000000000001":1.0810276583,"14.540000000000001":1.0810370573,"14.55":1.0810480045,"14.56":1.0810598775,"14.57":1.0810721505,"14.58":1.0810844093,"14.59":1.0810963575,"14.6":1.0811078162,"14.61":1.0811187172,"14.620000000000001":1.0811290903,"14.63":1.081139048,"14.64":1.0811487656,"14.65":1.0811584621,"14.66":1.0811683795,"14.67":1.0811787641,"14.68":1.0811898493,"14.69":1.0812018415,"14.700000000000001":1.081214908,"14.71":1.0812291691,"14.72":1.0812446928,"14.73":1.0812614925,"14.74":1.0812795271,"14.75":1.0812987036,"14.76":1.0813188817,"14.77":1.0813398789,"14.780000000000001":1.0813614781,"14.790000000000001":1.0813834347,"14.8":1.0814054844,"14.81":1.081427352,"14.82":1.0814487594,"14.83":1.0814694342,"14.84":1.0814891178,"14.85":1.0815075734,"14.86":1.0815245935,"14.870000000000001":1.0815400071,"14.88":1.0815536856,"14.89":1.0815655481,"14.9":1.0815755649,"14.91":1.0815837597,"14.92":1.0815902098,"14.93":1.0815950442,"14.94":1.0815984394,"14.950000000000001":1.0816006127,"14.96":1.0816018139,"14.97":1.0816023143,"14.98":1.0816023946,"14.99":1.0816023307,"15.0":1.0816023803},"1":{"5.0":0.661328258,"5.01":0.6685374137,"5.0200000000000005":0.6727969552,"5.03":0.6740119266,"5.04":0.6721376225,"5.05":0.6671788561,"5.0600000000000005":0.6591882702,"5.07":0.6482637495,"5.08":0.6345450122,"5.09":0.6182094793,"5.1000000000000005":0.5994675424,"5.11":0.5785573686,"5.12":0.5557393982,"5.13":0.5312907065,"5.14":0.5054994102,"5.15":0.4786593022,"5.16":0.4510648998,"5.17":0.4230070779,"5.18":0.3947694466,"5.19":0.3666256046,"5.2":0.3388373684,"5.21":0.3116540378,"5.22":0.285312711,"5.23":0.2600396146,"5.24":0.2360523576,"5.25":0.2135629673,"5.26":0.1927815138,"5.2700000000000005":0.173920081,"5.28":0.1571968082,"5.29":0.1428396927,"5.3":0.1310898332,"5.3100000000000005":0.1222037899,"5.32":0.116454753,"5.33":0.1141322452,"5.34":0.1155401271,"5.3500000000000005":0.1209927445,"5.36":0.1308091299,"5.37":0.1453052599,"5.38":0.1647844697,"5.39":0.1895262229,"5.4":0.2197735384,"5.41":0.2557194667,"5.42":0.2974930969,"5.43":0.3451456406,"5.44":0.3986371926,"5.45":0.4578247932,"5.46":0.522452419,"5.47":0.5921435025,"5.48":0.6663965274,"5.49":0.7445841637,"5.5":0.8259562973,"5.51":0.9096471844,"5.5200000000000005":0.9946868052,"5.53":1.0800163397,"5.54":1.1645075147,"5.55":1.2469854111,"5.5600000000000005":1.3262541615,"5.57":1.4011248243,"5.58":1.4704446046,"5.59":1.5331264958,"5.6000000000000005":1.5881783619,"5.61":1.6347304542,"5.62":1.6720603783,"5.63":1.6996145804,"5.64":1.7170255233,"5.65":1.7241238505,"5.66":1.720945003,"5.67":1.7077299429,"5.68":1.6849198443,"5.69":1.6531448303,"5.7":1.6132070529,"5.71":1.5660586239,"5.72":1.5127750983,"5.73":1.4545253785,"5.74":1.3925390468,"5.75":1.3280722286,"5.76":1.2623731422,"5.7700000000000005":1.1966485045,"5.78":1.1320319186,"5.79":1.0695552936,"5.8":1.0101242195,"5.8100000000000005":0.9544980626,"5.82":0.9032753614,"5.83":0.8568848874,"5.84":0.8155825225,"5.8500000000000005":0.7794538727,"5.86":0.748422328,"5.87":0.7222620734,"5.88":0.7006153831,"5.89":0.6830133861,"5.9":0.6688993829,"5.91":0.6576537325,"5.92":0.6486193044,"5.93":0.6411265143,"5.94":0.6345170251,"5.95":0.6281652957,"5.96":0.6214972932,"5.97":0.6140058404,"5.98":0.6052622437,"5.99":0.5949240314,"6.0":0.5827388079,"6.01":0.568544407,"6.0200000000000005":0.5522656752,"6.03":0.5339083515,"6.04":0.5135506076,"6.05":0.4913328778,"6.0600000000000005":0.4674466448,"6.07":0.4421228357,"6.08":0.415620452,"6.09":0.3882159819,"6.1000000000000005":0.3601940532,"6.11":0.3318396678,"6.12":0.3034322342,"6.13":0.2752414794,"6.140000000000001":0.247525195,"6.15":0.2205286496,"6.16":0.1944853962,"6.17":0.1696191228,"6.18":0.1461461347,"6.19":0.1242780314,"6.2":0.1042241427,"6.21":0.0861933169,"6.22":0.0703947134,"6.23":0.0570373305,"6.24":0.0463280962,"6.25":0.0384684601,"6.26":0.0336495392,"6.2700000000000005":0.0320459805,"6.28":0.0338088105,"6.29":0.0390576299,"6.3":0.0478725805,"6.3100000000000005":0.060286558,"6.32":0.0762781621,"6.33":0.0957658629,"6.34":0.1186038278,"6.3500000000000005":0.1445797841,"6.36":0.173415206,"6.37":0.2047680083,"6.38":0.2382378078,"6.390000000000001":0.2733736863,"6.4":0.3096842654,"6.41":0.3466497786,"6.42":0.3837357232,"6.43":0.4204075835,"6.44":0.4561460538,"6.45":0.4904621496,"6.46":0.5229115899,"6.47":0.5531078496,"6.48":0.5807333347,"6.49":0.6055482072,"6.5":0.6273964822,"6.51":0.6462091404,"6.5200000000000005":0.6620041221,"6.53":0.6748832055,"6.54":0.6850259027,"6.55":0.6926806334,"6.5600000000000005":0.6981535472,"6.57":0.7017954603,"6.58":0.7039874444,"6.59":0.7051256494,"6.6000000000000005":0.7056059649,"6.61":0.7058091123,"6.62":0.7060867293,"6.63":0.7067489494,"6.640000000000001":0.7080539005,"6.65":0.7101994529,"6.66":0.7133174448,"6.67":0.7174705006,"6.68":0.7226514503,"6.69":0.7287852532,"6.7":0.7357332368,"6.71":0.7432993793,"6.72":0.7512383067,"6.73":0.7592646261,"6.74":0.7670632013,"6.75":0.7742999665,"6.76":0.7806328945,"6.7700000000000005":0.7857227641,"6.78":0.7892434184,"6.79":0.7908912566,"6.8":0.7903937652,"6.8100000000000005":0.7875169518,"6.82":0.782071606,"6.83":0.7739183632,"6.84":0.7629715926,"6.8500000000000005":0.749202162,"6.86":0.732639158,"6.87":0.7133706446,"6.88":0.6915435466,"6.890000000000001":0.6673627294,"6.9":0.6410893279,"6.91":0.6130383552,"6.92":0.5835755926,"6.93":0.553113739,"6.94":0.5221077786,"6.95":0.4910495107,"6.96":0.4604611829,"6.97":0.4308881768,"6.98":0.402890715,"6.99":0.3770345889,"7.0":0.3538809491,"7.01":0.333975252,"7.0200000000000005":0.3178355122,"7.03":0.3059400717,"7.04":0.2987151545,"7.05":0.2965225317,"7.0600000000000005":0.2996476654,"7.07":0.3082887365,"7.08":0.3225469741,"7.09":0.3424187087,"7.1000000000000005":0.3677895493,"7.11":0.3984310411,"7.12":0.434000105,"7.13":0.4740414787,"7.140000000000001":0.5179932824,"7.15":0.5651957312,"7.16":0.614902896,"7.17":0.6662973006,"7.18":0.7185070278,"7.19":0.7706248979,"7.2":0.8217291913,"7.21":0.8709053091,"7.22":0.9172677092,"7.23":0.9599814287,"7.24":0.998282496,"7.25":1.0314965621,"7.26":1.0590551313,"7.2700000000000005":1.0805088468,"7.28":1.0955373877,"7.29":1.103955648,"7.3":1.1057160039,"7.3100000000000005":1.1009066092,"7.32":1.0897458075,"7.33":1.0725728814,"7.34":1.0498354946,"7.3500000000000005":1.0220742915,"7.36":0.9899052204,"7.37":0.9540002129,"7.38":0.9150669043,"7.390000000000001":0.8738280946,"7.4":0.8310016455,"7.41":0.7872814707,"7.42":0.7433202196,"7.43":0.6997141721,"7.44":0.6569907632,"7.45":0.6155990452,"7.46":0.5759032744,"7.47":0.5381796865,"7.48":0.5026164046,"7.49":0.4693163109,"7.5":0.4383026109,"7.51":0.4095267336,"7.5200000000000005":0.3828781426,"7.53":0.3581955855,"7.54":0.3352792831,"7.55":0.3139035523,"7.5600000000000005":0.2938293749,"7.57":0.2748164535,"7.58":0.2566343478,"7.59":0.2390723452,"7.6000000000000005":0.2219477913,"7.61":0.2051126821,"7.62":0.1884584007,"7.63":0.1719185586,"7.640000000000001":0.1554699732,"7.65":0.1391318842,"7.66":0.1229635629,"7.67":0.1070605198,"7.68":0.0915495466,"7.69":0.0765828522,"7.7":0.0623315633,"7.71":0.0489788588,"7.72":0.0367129954,"7.73":0.0257204668,"7.74":0.016179508,"7.75":0.0082541324,"7.76":0.0020888512,"7.7700000000000005":0.0,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0008678911,"7.82":0.0067558897,"7.83":0.0146085804,"7.84":0.0243303633,"7.8500000000000005":0.0357985665,"7.86":0.0488666507,"7.87":0.0633679484,"7.88":0.0791198252,"7.890000000000001":0.0959281493,"7.9":0.1135919478,"7.91":0.1319081243,"7.92":0.1506761105,"7.930000000000001":0.1697023224,"7.94":0.1888042932,"7.95":0.2078143593,"7.96":0.2265827828,"7.97":0.2449802035,"7.98":0.2628993319,"7.99":0.2802558115,"8.0":0.2969882042,"8.01":0.3130570829,"8.02":0.3284432453,"8.03":0.3431451003,"8.040000000000001":0.3571753136,"8.05":0.3705568388,"8.06":0.383238262,"8.07":0.3953222892,"8.08":0.4069695392,"8.09":0.4181617114,"8.1":0.4286858068,"8.11":0.4386613004,"8.120000000000001":0.4480605042,"8.13":0.4568362181,"8.14":0.464921668,"8.15":0.4722318838,"8.16":0.4786665866,"8.17":0.4841145962,"8.18":0.4884596926,"8.19":0.4915877964,"8.2":0.4933952538,"8.21":0.4937979481,"8.22":0.4927408885,"8.23":0.4902078816,"8.24":0.4862308472,"8.25":0.4808983187,"8.26":0.4743626659,"8.27":0.4668455907,"8.28":0.4586414869,"8.290000000000001":0.4501183082,"8.3":0.4417156675,"8.31":0.4339399817,"8.32":0.4273565846,"8.33":0.4225788452,"8.34":0.4202544546,"8.35":0.4210491648,"8.36":0.4256283831,"8.370000000000001":0.4346371372,"8.38":0.4486790157,"8.39":0.4682947699,"8.4":0.4939413106,"8.41":0.5259718605,"8.42":0.5646180208,"8.43":0.6099744749,"8.44":0.6619869928,"8.45":0.7204443068,"8.46":0.7849743136,"8.47":0.8550449206,"8.48":0.929969698,"8.49":1.008918333,"8.5":1.0909317108,"8.51":1.1749412768,"8.52":1.2597921744,"8.53":1.3442695047,"8.540000000000001":1.4271269297,"8.55":1.5071167428,"8.56":1.5830204605,"8.57":1.6536789562,"8.58":1.7180211599,"8.59":1.7750903852,"8.6":1.8240674205,"8.61":1.8642896276,"8.620000000000001":1.8952654288,"8.63":1.9166837243,"8.64":1.92841796,"8.65":1.9305247573,"8.66":1.9232372093,"8.67":1.9069531383,"8.68":1.8822187882,"8.69":1.8497085841,"8.700000000000001":1.8102017278,"8.71":1.764556502,"8.72":1.7136832244,"8.73":1.6585168283,"8.74":1.5999900382,"8.75":1.5390080682,"8.76":1.4764256883,"8.77":1.4130273946,"8.78":1.3495112795,"8.790000000000001":1.2864770361,"8.8":1.224418358,"8.81":1.1637198105,"8.82":1.1046580709,"8.83":1.0474072599,"8.84":0.9920479286,"8.85":0.9385791321,"8.86":0.88693291,"8.870000000000001":0.8369904196,"8.88":0.7885989244,"8.89":0.7415888371,"8.9":0.6957900413,"8.91":0.651046784,"8.92":0.6072305177,"8.93":0.5642501945,"8.94":0.5220596465,"8.950000000000001":0.4806618386,"8.96":0.4401099359,"8.97":0.4005052784,"8.98":0.3619925021,"8.99":0.3247521743,"9.0":0.2889914179,"9.01":0.2549330816,"9.02":0.2228040675,"9.03":0.1928234455,"9.040000000000001":0.1651909781,"9.05":0.1400766371,"9.06":0.1176116252,"9.07":0.0978813272,"9.08":0.0809205013,"9.09":0.0667109005,"9.1":0.0551813859,"9.11":0.0462104597,"9.120000000000001":0.03963103,"9.13":0.0352371042,"9.14":0.0327920215,"9.15":0.0320377628,"9.16":0.0327048374,"9.17":0.034522227,"9.18":0.0372268843,"9.19":0.0405723205,"9.200000000000001":0.0443358801,"9.21":0.0483243872,"9.22":0.0523779452,"9.23":0.0563717837,"9.24":0.0602161579,"9.25":0.0638544191,"9.26":0.0672594767,"9.27":0.0704289611,"9.28":0.0733794665,"9.290000000000001":0.076140301,"9.3":0.0787471919,"9.31":0.081236391,"9.32":0.0836395939,"9.33":0.0859800314,"9.34":0.0882700174,"9.35":0.0905101412,"9.36":0.0926901899,"9.370000000000001":0.0947917716,"9.38":0.096792501,"9.39":0.0986715034,"9.4":0.1004158986,"9.41":0.102027853,"9.42":0.1035317317,"9.43":0.1049808581,"9.44":0.1064633849,"9.450000000000001":0.1081068086,"9.46":0.110080714,"9.47":0.1125974133,"9.48":0.1159102436,"9.49":0.1203094036,"9.5":0.1261153334,"9.51":0.1336697727,"9.52":0.1433247588,"9.53":0.1554299418,"9.540000000000001":0.1703186989,"9.55":0.1882936059,"9.56":0.2096118839,"9.57":0.2344714616,"9.58":0.2629982937,"9.59":0.2952355362,"9.6":0.3311351209,"9.61":0.3705521775,"9.620000000000001":0.4132426385,"9.63":0.4588642339,"9.64":0.506980939,"9.65":0.5570707938,"9.66":0.6085368681,"9.67":0.6607210129,"9.68":0.7129199182,"9.69":0.7644029023,"9.700000000000001":0.8144307832,"9.71":0.8622751397,"9.72":0.9072372611,"9.73":0.9486660974,"9.74":0.9859745758,"9.75":1.0186537235,"9.76":1.0462841348,"9.77":1.0685444421,"9.78":1.0852165764,"9.790000000000001":1.0961877442,"9.8":1.1014491803,"9.81":1.1010918689,"9.82":1.0952995395,"9.83":1.084339346,"9.84":1.0685507117,"9.85":1.0483328783,"9.86":1.0241317171,"9.870000000000001":0.9964263638,"9.88":0.9657162047,"9.89":0.9325086951,"9.9":0.8973084125,"9.91":0.860607664,"9.92":0.8228788641,"9.93":0.7845687953,"9.94":0.7460947605,"9.950000000000001":0.7078425355,"9.96":0.6701659427,"9.97":0.6333877921,"9.98":0.5978018823,"9.99":0.5636757176,"10.0":0.5312535831,"12.0":0.3906109455,"12.01":0.3468015295,"12.02":0.306120419,"12.030000000000001":0.2684933888,"12.040000000000001":0.2338260978,"12.05":0.2020135678,"12.06":0.1729484018,"12.07":0.1465274375,"12.08":0.1226566322,"12.09":0.1012540861,"12.1":0.0822512167,"12.11":0.0655922033,"12.120000000000001":0.0512319153,"12.13":0.0391326148,"12.14":0.0292597868,"12.15":0.0215774902,"12.16":0.0160436356,"12.17":0.0126055908,"12.18":0.0111964825,"12.19":0.011732511,"12.200000000000001":0.0141115251,"12.21":0.018213019,"12.22":0.0238996221,"12.23":0.0310200537,"12.24":0.0394134182,"12.25":0.0489146303,"12.26":0.0593606784,"12.27":0.0705973742,"12.280000000000001":0.0824861958,"12.290000000000001":0.0949108083,"12.3":0.1077828492,"12.31":0.1210465941,"12.32":0.1346821603,"12.33":0.1487069797,"12.34":0.1631753496,"12.35":0.1781759702,"12.36":0.1938274774,"12.370000000000001":0.2102720852,"12.38":0.227667553,"12.39":0.2461777856,"12.4":0.2659624521,"12.41":0.287166072,"12.42":0.3099070576,"12.43":0.3342672187,"12.44":0.3602822283,"12.450000000000001":0.3879335206,"12.46":0.4171420345,"12.47":0.4477641482,"12.48":0.4795900545,"12.49":0.5123447288,"12.5":0.5456915278,"12.51":0.5792383459,"12.52":0.612546146,"12.530000000000001":0.6451395774,"12.540000000000001":0.6765193079,"12.55":0.7061756188,"12.56":0.7336027637,"12.57":0.7583135576,"12.58":0.7798536558,"12.59":0.7978149998,"12.6":0.8118479417,"12.61":0.821671621,"12.620000000000001":0.827082238,"12.63":0.8279589623,"12.64":0.8242673068,"12.65":0.8160599045,"12.66":0.8034747255,"12.67":0.7867308669,"12.68":0.76612214,"12.69":0.7420087517,"12.700000000000001":0.714807437,"12.71":0.6849804419,"12.72":0.6530237784,"12.73":0.6194551777,"12.74":0.5848021502,"12.75":0.5495905339,"12.76":0.5143338616,"12.77":0.4795238237,"12.780000000000001":0.4456220348,"12.790000000000001":0.4130532433,"12.8":0.3822000526,"12.81":0.3533991533,"12.82":0.3269390033,"12.83":0.3030588421,"12.84":0.281948879,"12.85":0.2637514702,"12.86":0.2485630774,"12.870000000000001":0.2364368024,"12.88":0.2273852974,"12.89":0.2213838712,"12.9":0.2183736409,"12.91":0.2182646131,"12.92":0.2209386165,"12.93":0.22625205,"12.94":0.2340384462,"12.950000000000001":0.2441108848,"12.96":0.2562643195,"12.97":0.2702778975,"12.98":0.2859173654,"12.99":0.3029376513,"13.0":0.3210857064,"13.01":0.3401036696,"13.02":0.359732392,"13.030000000000001":0.3797153269,"13.040000000000001":0.3998027543,"13.05":0.4197562724,"13.06":0.4393534501,"13.07":0.4583925051,"13.08":0.4766968413,"13.09":0.4941192635,"13.1":0.5105456754,"13.11":0.5258980679,"13.120000000000001":0.5401366177,"13.13":0.5532607356,"13.14":0.5653089394,"13.15":0.5763574649,"13.16":0.5865175774,"13.17":0.5959315999,"13.18":0.6047677279,"13.19":0.6132137559,"13.200000000000001":0.6214698934,"13.21":0.629740894,"13.22":0.6382277574,"13.23":0.6471192975,"13.24":0.6565838804,"13.25":0.6667616449,"13.26":0.6777575085,"13.27":0.689635239,"13.280000000000001":0.7024128394,"13.290000000000001":0.7160594506,"13.3":0.7304939209,"13.31":0.7455851333,"13.32":0.7611541161,"13.33":0.7769778966,"13.34":0.7927949939,"13.35":0.8083123837,"13.36":0.8232137146,"13.370000000000001":0.8371685095,"13.38":0.8498420458,"13.39":0.860905589,"13.4":0.8700466362,"13.41":0.8769788294,"13.42":0.8814512112,"13.43":0.8832565179,"13.44":0.8822382415,"13.450000000000001":0.8782962351,"13.46":0.8713906888,"13.47":0.8615443552,"13.48":0.8488429681,"13.49":0.8334338514,"13.5":0.8155227771,"13.51":0.7953691834,"13.52":0.7732799131,"13.530000000000001":0.7496016745,"13.540000000000001":0.7247124604,"13.55":0.6990121877,"13.56":0.672912834,"13.57":0.6468283572,"13.58":0.6211646797,"13.59":0.5963100114,"13.6":0.5726257677,"13.61":0.5504383122,"13.620000000000001":0.530031731,"13.63":0.5116418046,"13.64":0.4954513155,"13.65":0.4815867856,"13.66":0.4701167038,"13.67":0.4610512644,"13.68":0.4543436006,"13.69":0.4498924642,"13.700000000000001":0.4475462685,"13.71":0.4471083822,"13.72":0.4483435388,"13.73":0.4509851984,"13.74":0.4547436815,"13.75":0.4593148805,"13.76":0.4643893364,"13.77":0.4696614652,"13.780000000000001":0.4748387085,"13.790000000000001":0.4796503856,"13.8":0.4838560227,"13.81":0.4872529457,"13.82":0.4896829321,"13.83":0.4910377334,"13.84":0.4912633008,"13.85":0.4903625718,"13.86":0.488396704,"13.870000000000001":0.4854846788,"13.88":0.4818012331,"13.89":0.4775731199,"13.9":0.4730737422,"13.91":0.4686162504,"13.92":0.4645452377,"13.93":0.4612272144,"13.94":0.459040082,"13.950000000000001":0.4583618698,"13.96":0.4595590246,"13.97":0.4629745742,"13.98":0.4689165005,"13.99":0.4776466661,"14.0":0.4893706387,"14.01":0.5042287392,"14.02":0.5222886222,"14.030000000000001":0.5435396561,"14.040000000000001":0.5678893303,"14.05":0.5951618583,"14.06":0.6250990878,"14.07":0.6573637577,"14.08":0.6915450734,"14.09":0.7271664952,"14.1":0.7636955689,"14.11":0.800555553,"14.120000000000001":0.8371385391,"14.13":0.87281971,"14.14":0.9069723323,"14.15":0.9389830558,"14.16":0.9682670726,"14.17":0.9942826868,"14.18":1.0165448605,"14.19":1.0346373297,"14.200000000000001":1.0482229222,"14.21":1.05705177,"14.22":1.0609671676,"14.23":1.0599089062,"14.24":1.0539139901,"14.25":1.0431147275,"14.26":1.0277342687,"14.27":1.0080797461,"14.280000000000001":0.9845332452,"14.290000000000001":0.9575409023,"14.3":0.9276004818,"14.31":0.895247827,"14.32":0.8610426116,"14.33":0.8255538322,"14.34":0.7893454818,"14.35":0.7529628322,"14.36":0.7169197213,"14.370000000000001":0.6816872018,"14.38":0.6476838551,"14.39":0.6152680121,"14.4":0.5847320563,"14.41":0.5562989105,"14.42":0.5301207382,"14.43":0.5062798163,"14.44":0.4847914709,"14.450000000000001":0.4656089017,"14.46":0.448629672,"14.47":0.4337035918,"14.48":0.4206416911,"14.49":0.4092259551,"14.5":0.3992194859,"14.51":0.3903767518,"14.52":0.3824535988,"14.530000000000001":0.3752167203,"14.540000000000001":0.3684523101,"14.55":0.361973661,"14.56":0.3556275134,"14.57":0.3492990063,"14.58":0.3429151306,"14.59":0.3364466316,"14.6":0.3299083603,"14.61":0.3233581124,"14.620000000000001":0.3168940407,"14.63":0.3106507604,"14.64":0.3047942991,"14.65":0.2995160701,"14.66":0.2950260665,"14.67":0.2915454864,"14.68":0.2892990095,"14.69":0.2885069447,"14.700000000000001":0.2893774681,"14.71":0.2920991585,"14.72":0.2968340304,"14.73":0.3037112435,"14.74":0.3128216521,"14.75":0.3242133327,"14.76":0.3378882064,"14.77":0.3537998442,"14.780000000000001":0.371852517,"14.790000000000001":0.3919015233,"14.8":0.4137547964,"14.81":0.4371757664,"14.82":0.4618874193,"14.83":0.487577469,"14.84":0.5139045282,"14.85":0.5405051405,"14.86":0.5670015093,"14.870000000000001":0.5930097403,"14.88":0.6181483961,"14.89":0.6420471491,"14.9":0.6643553097,"14.91":0.684750006,"14.92":0.7029437925,"14.93":0.7186914764,"14.94":0.7317959653,"14.950000000000001":0.7421129622,"14.96":0.7495543623,"14.97":0.7540902394,"14.98":0.7557493472,"14.99":0.7546181043,"15.0":0.7508380738},"2":{"5.0":0.0235725445,"5.01":0.0178710037,"5.0200000000000005":0.0131607645,"5.03":0.0095127246,"5.04":0.0069757429,"5.05":0.0055789748,"5.0600000000000005":0.0053350275,"5.07":0.0062437044,"5.08":0.0082960836,"5.09":0.0114786688,"5.1000000000000005":0.0157773571,"5.11":0.0211809839,"5.12":0.0276842397,"5.13":0.0352897912,"5.14":0.0440094892,"5.15":0.0538646004,"5.16":0.0648850546,"5.17":0.077107756,"5.18":0.090574059,"5.19":0.1053265531,"5.2":0.1214053408,"5.21":0.138844019,"5.22":0.1576655862,"5.23":0.1778785075,"5.24":0.1994731524,"5.25":0.2224188055,"5.26":0.2466614165,"5.2700000000000005":0.2721222159,"5.28":0.2986972794,"5.29":0.3262580713,"5.3":0.3546529495,"5.3100000000000005":0.3837095632,"5.32":0.4132380333,"5.33":0.4430347628,"5.34":0.4728866993,"5.3500000000000005":0.5025758518,"5.36":0.5318838511,"5.37":0.560596354,"5.38":0.5885070967,"5.39":0.6154214337,"5.4":0.6411592258,"5.41":0.6655569843,"5.42":0.6884692173,"5.43":0.7097689757,"5.44":0.7293476348,"5.45":0.7471139957,"5.46":0.7629928226,"5.47":0.7769229642,"5.48":0.7888552266,"5.49":0.7987501748,"5.5":0.8065760405,"5.51":0.8123069018,"5.5200000000000005":0.8159212808,"5.53":0.8174012738,"5.54":0.8167322937,"5.55":0.8139034628,"5.5600000000000005":0.8089086475,"5.57":0.8017480857,"5.58":0.792430514,"5.59":0.7809756635,"5.6000000000000005":0.7674169666,"5.61":0.7518042919,"5.62":0.7342065154,"5.63":0.7147137344,"5.64":0.6934389419,"5.65":0.6705189992,"5.66":0.6461147757,"5.67":0.6204103632,"5.68":0.5936113168,"5.69":0.5659419237,"5.7":0.5376415505,"5.71":0.5089601689,"5.72":0.4801532046,"5.73":0.4514758944,"5.74":0.4231773638,"5.75":0.3954946621,"5.76":0.368646999,"5.7700000000000005":0.342830426,"5.78":0.3182131901,"5.79":0.2949319661,"5.8":0.2730891331,"5.8100000000000005":0.2527512233,"5.82":0.2339486169,"5.83":0.2166765047,"5.84":0.2008970856,"5.8500000000000005":0.1865429105,"5.86":0.1735212351,"5.87":0.161719199,"5.88":0.1510096161,"5.89":0.1412571291,"5.9":0.1323244749,"5.91":0.1240785963,"5.92":0.1163963518,"5.93":0.1091695889,"5.94":0.1023093833,"5.95":0.0957492792,"5.96":0.089447417,"5.97":0.083387481,"5.98":0.0775784559,"5.99":0.0720532285,"6.0":0.0668661255,"6.01":0.0620895169,"6.0200000000000005":0.057809657,"6.03":0.0541219596,"6.04":0.0511259251,"6.05":0.0489199461,"6.0600000000000005":0.0475962155,"6.07":0.0472359497,"6.08":0.0479051199,"6.09":0.0496508543,"6.1000000000000005":0.0524986406,"6.11":0.0564504186,"6.12":0.0614836106,"6.13":0.0675510975,"6.140000000000001":0.0745821057,"6.15":0.0824839359,"6.16":0.0911444326,"6.17":0.1004350671,"6.18":0.1102144906,"6.19":0.1203324016,"6.2":0.1306335723,"6.21":0.1409618791,"6.22":0.1511641978,"6.23":0.1610940383,"6.24":0.1706148153,"6.25":0.1796026761,"6.26":0.1879488309,"6.2700000000000005":0.1955613576,"6.28":0.2023664753,"6.29":0.2083093029,"6.3":0.2133541362,"6.3100000000000005":0.2174842915,"6.32":0.2207015684,"6.33":0.2230253947,"6.34":0.2244917094,"6.3500000000000005":0.2251516399,"6.36":0.2250700212,"6.37":0.2243237938,"6.38":0.2230003098,"6.390000000000001":0.2211955631,"6.4":0.2190123542,"6.41":0.2165583881,"6.42":0.2139443056,"6.43":0.2112816409,"6.44":0.2086807058,"6.45":0.2062484041,"6.46":0.204085989,"6.47":0.2022867882,"6.48":0.2009339338,"6.49":0.2000981486,"6.5":0.1998356516,"6.51":0.2001862591,"6.5200000000000005":0.2011717639,"6.53":0.2027946807,"6.54":0.2050374469,"6.55":0.2078621587,"6.5600000000000005":0.2112109158,"6.57":0.215006828,"6.58":0.2191557168,"6.59":0.2235485193,"6.6000000000000005":0.2280643701,"6.61":0.2325743085,"6.62":0.2369455244,"6.63":0.2410460255,"6.640000000000001":0.2447495817,"6.65":0.2479407788,"6.66":0.2505199956,"6.67":0.25240811,"6.68":0.2535507363,"6.69":0.2539218049,"6.7":0.2535263092,"6.71":0.252402072,"6.72":0.2506204143,"6.73":0.2482856499,"6.74":0.2455333741,"6.75":0.2425275611,"6.76":0.2394565378,"6.7700000000000005":0.2365279453,"6.78":0.2339628485,"6.79":0.2319891916,"6.8":0.2308348307,"6.8100000000000005":0.2307203975,"6.82":0.2318522598,"6.83":0.2344158482,"6.84":0.2385696066,"6.8500000000000005":0.2444398018,"6.86":0.2521163975,"6.87":0.261650154,"6.88":0.2730510674,"6.890000000000001":0.2862882046,"6.9":0.3012909362,"6.91":0.3179515049,"6.92":0.3361288165,"6.93":0.355653284,"6.94":0.3763325128,"6.95":0.3979575778,"6.96":0.4203096205,"6.97":0.4431664799,"6.98":0.466309072,"6.99":0.489527247,"7.0":0.5126248773,"7.01":0.5354239693,"7.0200000000000005":0.5577676347,"7.03":0.5795218178,"7.04":0.600575728,"7.05":0.620840995,"7.0600000000000005":0.6402496219,"7.07":0.6587508725,"7.08":0.6763072793,"7.09":0.6928900059,"7.1000000000000005":0.7084738266,"7.11":0.7230320124,"7.12":0.7365314145,"7.13":0.7489280376,"7.140000000000001":0.7601633676,"7.15":0.7701616945,"7.16":0.7788286191,"7.17":0.7860508849,"7.18":0.7916976123,"7.19":0.7956229467,"7.2":0.7976700664,"7.21":0.7976764291,"7.22":0.795480073,"7.23":0.7909267352,"7.24":0.7838775044,"7.25":0.7742166901,"7.26":0.7618595698,"7.2700000000000005":0.7467596716,"7.28":0.7289152538,"7.29":0.7083746698,"7.3":0.6852403394,"7.3100000000000005":0.6596710973,"7.32":0.6318827493,"7.33":0.6021467307,"7.34":0.5707868352,"7.3500000000000005":0.5381740557,"7.36":0.5047196516,"7.37":0.4708666267,"7.38":0.4370798664,"7.390000000000001":0.4038352343,"7.4":0.3716079737,"7.41":0.340860789,"7.42":0.3120319958,"7.43":0.2855241337,"7.44":0.2616934195,"7.45":0.2408403915,"7.46":0.2232020566,"7.47":0.2089457993,"7.48":0.1981652501,"7.49":0.1908782451,"7.5":0.187026933,"7.51":0.1864800173,"7.5200000000000005":0.1890370434,"7.53":0.1944345768,"7.54":0.2023540545,"7.55":0.2124310384,"7.5600000000000005":0.2242655595,"7.57":0.2374332065,"7.58":0.2514965996,"7.59":0.2660168813,"7.6000000000000005":0.2805648671,"7.61":0.2947315186,"7.62":0.3081374335,"7.63":0.3204410908,"7.640000000000001":0.3313456373,"7.65":0.3406040597,"7.66":0.3480226469,"7.67":0.3534627068,"7.68":0.3568405649,"7.69":0.3581259283,"7.7":0.3573387524,"7.71":0.3545447929,"7.72":0.3498500625,"7.73":0.3433944418,"7.74":0.3353447102,"7.75":0.3258872705,"7.76":0.3152208382,"7.7700000000000005":0.3031657689,"7.78":0.2902877874,"7.79":0.2771584319,"7.8":0.2639657899,"7.8100000000000005":0.2507236568,"7.82":0.2368470603,"7.83":0.2229830268,"7.84":0.209233697,"7.8500000000000005":0.1956788346,"7.86":0.1823769899,"7.87":0.1693675298,"7.88":0.1566733924,"7.890000000000001":0.144304405,"7.9":0.1322609913,"7.91":0.1205380865,"7.92":0.1091290846,"7.930000000000001":0.0980296453,"7.94":0.0872412088,"7.95":0.0767740813,"7.96":0.0666499821,"7.97":0.0569039691,"7.98":0.0475856868,"7.99":0.0387599126,"8.0":0.030506404,"8.01":0.022919075,"8.02":0.0161045556,"8.03":0.0101802058,"8.040000000000001":0.0052716712,"8.05":0.0015100793,"8.06":0.0,"8.07":0.0,"8.08":0.0,"8.09":0.0005727694,"8.1":0.0044847966,"8.11":0.0102691888,"8.120000000000001":0.0180079467,"8.13":0.0277648867,"8.14":0.0395836458,"8.15":0.0534860303,"8.16":0.0694707117,"8.17":0.0875122605,"8.18":0.1075605061,"8.19":0.1295402028,"8.2":0.1533509832,"8.21":0.1788675789,"8.22":0.2059402955,"8.23":0.2343957302,"8.24":0.264037729,"8.25":0.2946485882,"8.26":0.3259905079,"8.27":0.3578073148,"8.28":0.3898264737,"8.290000000000001":0.4217614067,"8.3":0.4533141426,"8.31":0.48417831,"8.32":0.5140424836,"8.33":0.5425938822,"8.34":0.5695224016,"8.35":0.5945249552,"8.36":0.6173100728,"8.370000000000001":0.6376026949,"8.38":0.6551490799,"8.39":0.6697217258,"8.4":0.6811241939,"8.41":0.6891957106,"8.42":0.6938154154,"8.43":0.69490612,"8.44":0.6924374462,"8.45":0.6864282158,"8.46":0.6769479802,"8.47":0.6641175936,"8.48":0.6481087568,"8.49":0.6291424847,"8.5":0.6074864822,"8.51":0.5834514424,"8.52":0.5573863157,"8.53":0.5296726328,"8.540000000000001":0.5007179914,"8.55":0.4709488493,"8.56":0.4408027886,"8.57":0.4107204362,"8.58":0.3811372386,"8.59":0.3524752962,"8.6":0.3251354652,"8.61":0.2994899237,"8.620000000000001":0.2758753917,"8.63":0.2545871696,"8.64":0.2358741403,"8.65":0.2199348455,"8.66":0.2069147207,"8.67":0.1969045317,"8.68":0.1899400255,"8.69":0.1860027703,"8.700000000000001":0.1850221278,"8.71":0.1868782692,"8.72":0.1914061211,"8.73":0.1984001063,"8.74":0.2076195263,"8.75":0.2187944249,"8.76":0.2316317649,"8.77":0.2458217532,"8.78":0.2610441567,"8.790000000000001":0.2769744585,"8.8":0.2932897266,"8.81":0.3096740787,"8.82":0.3258236527,"8.83":0.341451012,"8.84":0.356288938,"8.85":0.3700935839,"8.86":0.3826469838,"8.870000000000001":0.3937589301,"8.88":0.4032682456,"8.89":0.411043492,"8.9":0.4169831635,"8.91":0.4210154205,"8.92":0.4230974232,"8.93":0.4232143218,"8.94":0.4213779617,"8.950000000000001":0.4176253559,"8.96":0.4120169717,"8.97":0.404634874,"8.98":0.3955807616,"8.99":0.3849739245,"9.0":0.3729491482,"9.01":0.3596545852,"9.02":0.3452496095,"9.03":0.3299026703,"9.040000000000001":0.3137891579,"9.05":0.2970892949,"9.06":0.2799860689,"9.07":0.2626632192,"9.08":0.2453032958,"9.09":0.2280858084,"9.1":0.2111854809,"9.11":0.1947706317,"9.120000000000001":0.1790016942,"9.13":0.1640298929,"9.14":0.1499960859,"9.15":0.1370297805,"9.16":0.1252483244,"9.17":0.1147562689,"9.18":0.1056448963,"9.19":0.0979918966,"9.200000000000001":0.091861175,"9.21":0.0873027674,"9.22":0.0843528389,"9.23":0.0830337384,"9.24":0.0833540829,"9.25":0.0853088485,"9.26":0.0888794467,"9.27":0.0940337735,"9.28":0.1007262212,"9.290000000000001":0.1088976553,"9.3":0.1184753641,"9.31":0.1293729977,"9.32":0.1414905233,"9.33":0.1547142273,"9.34":0.1689168048,"9.35":0.1839575771,"9.36":0.199682883,"9.370000000000001":0.2159266868,"9.38":0.2325114447,"9.39":0.2492492636,"9.4":0.2659433812,"9.41":0.2823899832,"9.42":0.298380363,"9.43":0.3137034173,"9.44":0.3281484536,"9.450000000000001":0.3415082759,"9.46":0.3535824968,"9.47":0.3641810161,"9.48":0.3731275911,"9.49":0.3802634176,"9.5":0.3854506333,"9.51":0.3885756515,"9.52":0.3895522336,"9.53":0.3883242093,"9.540000000000001":0.3848677621,"9.55":0.3791932023,"9.56":0.3713461626,"9.57":0.3614081639,"9.58":0.3494965119,"9.59":0.3357635032,"9.6":0.3203949313,"9.61":0.3036079055,"9.620000000000001":0.2856480047,"9.63":0.2667858086,"9.64":0.247312861,"9.65":0.2275371319,"9.66":0.2077780572,"9.67":0.1883612446,"9.68":0.1696129404,"9.69":0.1518543594,"9.700000000000001":0.1353959817,"9.71":0.1205319246,"9.72":0.1075344958,"9.73":0.0966490346,"9.74":0.0880891419,"9.75":0.0820323984,"9.76":0.0786166607,"9.77":0.0779370188,"9.78":0.0800434882,"9.790000000000001":0.0849394983,"9.8":0.0925812263,"9.81":0.1028778101,"9.82":0.1156924602,"9.83":0.1308444696,"9.84":0.1481121063,"9.85":0.1672363501,"9.86":0.1879254187,"9.870000000000001":0.2098600065,"9.88":0.2326991419,"9.89":0.2560865493,"9.9":0.2796573894,"9.91":0.3030452333,"9.92":0.3258891211,"9.93":0.347840543,"9.94":0.3685701855,"9.950000000000001":0.3877742804,"9.96":0.4051804078,"9.97":0.4205526117,"9.98":0.4336957054,"9.99":0.4444586644,"10.0":0.4527370301,"12.0":0.0934375324,"12.01":0.0978781772,"12.02":0.1035612812,"12.030000000000001":0.1104729852,"12.040000000000001":0.1185747828,"12.05":0.1278066545,"12.06":0.138090923,"12.07":0.1493365858,"12.08":0.1614438626,"12.09":0.1743086943,"12.1":0.1878269398,"12.11":0.2018980439,"12.120000000000001":0.2164279865,"12.13":0.2313313695,"12.14":0.2465325532,"12.15":0.2619658126,"12.16":0.277574542,"12.17":0.2933095939,"12.18":0.3091268907,"12.19":0.3249844883,"12.200000000000001":0.3408393052,"12.21":0.3566437495,"12.22":0.3723424837,"12.23":0.3878695601,"12.24":0.4031461384,"12.25":0.4180789669,"12.26":0.4325597654,"12.27":0.4464655968,"12.280000000000001":0.4596602608,"12.290000000000001":0.4719966863,"12.3":0.48332024,"12.31":0.4934728216,"12.32":0.502297567,"12.33":0.5096439472,"12.34":0.515373027,"12.35":0.5193626354,"12.36":0.5215121996,"12.370000000000001":0.5217470118,"12.38":0.5200217211,"12.39":0.5163228833,"12.4":0.5106704442,"12.41":0.5031180844,"12.42":0.4937524106,"12.43":0.4826910303,"12.44":0.4700796015,"12.450000000000001":0.4560879969,"12.46":0.4409057598,"12.47":0.42473706,"12.48":0.4077953754,"12.49":0.3902981331,"12.5":0.3724615375,"12.51":0.3544957936,"12.52":0.3366009103,"12.530000000000001":0.3189632286,"12.540000000000001":0.3017527768,"12.55":0.2851215094,"12.56":0.2692024361,"12.57":0.254109601,"12.58":0.2399388262,"12.59":0.2267691003,"12.6":0.2146644589,"12.61":0.2036761878,"12.620000000000001":0.1938451674,"12.63":0.1852041808,"12.64":0.1777800186,"12.65":0.1715952344,"12.66":0.1666694367,"12.67":0.1630200369,"12.68":0.1606624134,"12.69":0.1596094945,"12.700000000000001":0.1598708018,"12.71":0.1614510359,"12.72":0.1643483155,"12.73":0.1685522087,"12.74":0.1740417094,"12.75":0.1807833213,"12.76":0.1887294049,"12.77":0.1978169357,"12.780000000000001":0.2079667936,"12.790000000000001":0.219083681,"12.8":0.2310567264,"12.81":0.2437607951,"12.82":0.2570584848,"12.83":0.2708027476,"12.84":0.284840039,"12.85":0.2990138651,"12.86":0.3131685729,"12.870000000000001":0.3271532134,"12.88":0.3408252959,"12.89":0.3540542598,"12.9":0.3667244954,"12.91":0.3787377715,"12.92":0.3900149516,"12.93":0.4004969192,"12.94":0.4101446681,"12.950000000000001":0.4189385578,"12.96":0.4268767756,"12.97":0.4339730845,"12.98":0.4402539732,"12.99":0.4457553538,"13.0":0.4505189743,"13.01":0.4545887255,"13.02":0.4580070272,"13.030000000000001":0.4608114733,"13.040000000000001":0.4630319002,"13.05":0.4646880208,"13.06":0.4657877381,"13.07":0.4663262169,"13.08":0.4662857533,"13.09":0.4656364451,"13.1":0.464337622,"13.11":0.4623399649,"13.120000000000001":0.4595882039,"13.13":0.4560242651,"13.14":0.4515907108,"13.15":0.4462343115,"13.16":0.4399095803,"13.17":0.4325821082,"13.18":0.4242315491,"13.19":0.414854124,"13.200000000000001":0.4044645384,"13.21":0.3930972357,"13.22":0.3808069415,"13.23":0.3676684872,"13.24":0.3537759327,"13.25":0.3392410376,"13.26":0.3241911583,"13.27":0.3087666687,"13.280000000000001":0.2931180181,"13.290000000000001":0.2774025513,"13.3":0.2617812175,"13.31":0.2464152951,"13.32":0.2314632478,"13.33":0.2170778178,"13.34":0.2034034426,"13.35":0.1905740633,"13.36":0.1787113697,"13.370000000000001":0.1679235071,"13.38":0.1583042459,"13.39":0.1499325969,"13.4":0.1428728376,"13.41":0.1371749012,"13.42":0.1328750667,"13.43":0.1299968873,"13.44":0.1285522842,"13.450000000000001":0.1285427418,"13.46":0.1299605357,"13.47":0.1327899396,"13.48":0.1370083584,"13.49":0.1425873511,"13.5":0.1494935114,"13.51":0.1576891895,"13.52":0.167133045,"13.530000000000001":0.177780431,"13.540000000000001":0.1895836149,"13.55":0.2024918517,"13.56":0.2164513228,"13.57":0.2314049629,"13.58":0.2472921947,"13.59":0.264048593,"13.6":0.281605499,"13.61":0.2998896064,"13.620000000000001":0.3188225374,"13.63":0.3383204301,"13.64":0.3582935551,"13.65":0.3786459819,"13.66":0.3992753156,"13.67":0.4200725264,"13.68":0.4409218946,"13.69":0.4617010964,"13.700000000000001":0.4822814556,"13.71":0.502528385,"13.72":0.5223020436,"13.73":0.5414582274,"13.74":0.5598495111,"13.75":0.5773266496,"13.76":0.5937402395,"13.77":0.6089426313,"13.780000000000001":0.6227900717,"13.790000000000001":0.635145042,"13.8":0.6458787475,"13.81":0.6548736989,"13.82":0.6620263171,"13.83":0.6672494822,"13.84":0.6704749412,"13.85":0.6716554856,"13.86":0.6707668094,"13.870000000000001":0.6678089627,"13.88":0.6628073237,"13.89":0.6558130248,"13.9":0.646902783,"13.91":0.6361781073,"13.92":0.6237638721,"13.93":0.609806276,"13.94":0.5944702227,"13.950000000000001":0.5779361889,"13.96":0.5603966643,"13.97":0.5420522673,"13.98":0.5231076564,"13.99":0.503767369,"14.0":0.4842317216,"14.01":0.4646929091,"14.02":0.4453314331,"14.030000000000001":0.4263129762,"14.040000000000001":0.4077858253,"14.05":0.3898789234,"14.06":0.3727006041,"14.07":0.3563380355,"14.08":0.3408573733,"14.09":0.3263045897,"14.1":0.3127069206,"14.11":0.3000748475,"14.120000000000001":0.2884045088,"14.13":0.2776804201,"14.14":0.2678783712,"14.15":0.2589683635,"14.16":0.2509174538,"14.17":0.2436923765,"14.18":0.2372618309,"14.19":0.2315983389,"14.200000000000001":0.2266796003,"14.21":0.2224892985,"14.22":0.2190173373,"14.23":0.2162595174,"14.24":0.2142166859,"14.25":0.2128934206,"14.26":0.212296329,"14.27":0.2124320597,"14.280000000000001":0.2133051393,"14.290000000000001":0.2149157493,"14.3":0.2172575643,"14.31":0.2203157645,"14.32":0.224065329,"14.33":0.2284697,"14.34":0.2334798914,"14.35":0.2390340942,"14.36":0.2450578098,"14.370000000000001":0.2514645151,"14.38":0.2581568451,"14.39":0.2650282532,"14.4":0.2719650918,"14.41":0.2788490388,"14.42":0.2855597819,"14.43":0.2919778659,"14.44":0.2979876004,"14.450000000000001":0.3034799285,"14.46":0.3083551567,"14.47":0.3125254561,"14.48":0.315917054,"14.49":0.3184720481,"14.5":0.3201497888,"14.51":0.3209277933,"14.52":0.3208021669,"14.530000000000001":0.3197875292,"14.540000000000001":0.3179164507,"14.55":0.3152384258,"14.56":0.311818417,"14.57":0.3077350168,"14.58":0.3030782831,"14.59":0.2979473098,"14.6":0.2924476012,"14.61":0.2866883191,"14.620000000000001":0.2807794751,"14.63":0.2748291402,"14.64":0.2689407412,"14.65":0.2632105121,"14.66":0.2577251634,"14.67":0.2525598284,"14.68":0.2477763393,"14.69":0.2434218777,"14.700000000000001":0.2395280391,"14.71":0.2361103373,"14.72":0.2331681707,"14.73":0.2306852552,"14.74":0.2286305217,"14.75":0.2269594608,"14.76":0.2256158853,"14.77":0.2245340685,"14.780000000000001":0.2236412024,"14.790000000000001":0.2228601088,"14.8":0.2221121243,"14.81":0.2213200722,"14.82":0.2204112266,"14.83":0.2193201701,"14.84":0.2179914447,"14.85":0.2163819003,"14.86":0.214462649,"14.870000000000001":0.2122205449,"14.88":0.2096591229,"14.89":0.2067989472,"14.9":0.2036773392,"14.91":0.2003474783,"14.92":0.1968768922,"14.93":0.1933453762,"14.94":0.1898424067,"14.950000000000001":0.186464134,"14.96":0.1833100584,"14.97":0.1804795124,"14.98":0.1780680766,"14.99":0.1761640698,"15.0":0.1748452477}} +{"0":{"5.0":8.3833098223,"5.01":8.5806753103,"5.0200000000000005":8.7108063438,"5.03":8.7729567564,"5.04":8.7670349633,"5.05":8.6935744627,"5.0600000000000005":8.5536970809,"5.07":8.3490696568,"5.08":8.0818552695,"5.09":7.7547264401,"5.1000000000000005":7.3706211009,"5.11":6.9329562601,"5.12":6.4453339027,"5.13":5.9116848058,"5.14":5.3364951162,"5.15":4.7245353588,"5.16":4.0826130338,"5.17":3.5272055745,"5.18":3.0717369756,"5.19":2.5793195445,"5.2":2.0774585445,"5.21":1.6052717944,"5.22":1.1961288845,"5.23":0.8690762476,"5.24":0.6415860846,"5.25":0.5267269467,"5.26":0.4600455284,"5.2700000000000005":0.4124640963,"5.28":0.3468346628,"5.29":0.2106683081,"5.3":0.0839635978,"5.3100000000000005":0.0,"5.32":0.0,"5.33":0.0,"5.34":0.0,"5.3500000000000005":0.0,"5.36":0.0,"5.37":0.0,"5.38":0.0,"5.39":0.0,"5.4":0.0,"5.41":0.0,"5.42":0.0,"5.43":0.0,"5.44":0.0,"5.45":0.0,"5.46":0.0,"5.47":0.3096890177,"5.48":1.2624907501,"5.49":2.3879892244,"5.5":3.8982412801,"5.51":5.7264930373,"5.5200000000000005":7.5950409807,"5.53":9.4791737071,"5.54":11.3530283825,"5.55":13.1900810495,"5.5600000000000005":14.9637439814,"5.57":16.6479902264,"5.58":18.2179849114,"5.59":19.6507025399,"5.6000000000000005":20.9255092964,"5.61":22.0246899515,"5.62":22.93390039,"5.63":23.6425290084,"5.64":24.1439531937,"5.65":24.4356806844,"5.66":24.5193696969,"5.67":24.4007261104,"5.68":24.0892805612,"5.69":23.598052812,"5.7":22.9431150421,"5.71":22.1430695576,"5.72":21.2184596846,"5.73":20.1914471773,"5.74":19.2915869722,"5.75":18.4700579579,"5.76":17.6098294745,"5.7700000000000005":16.687592065,"5.78":15.6980815083,"5.79":14.5725991406,"5.8":13.4645498913,"5.8100000000000005":12.333064395,"5.82":11.2643909648,"5.83":10.3343559444,"5.84":9.4960943845,"5.8500000000000005":8.7630597288,"5.86":8.1303091963,"5.87":7.5595358533,"5.88":7.0164108442,"5.89":6.4949154521,"5.9":6.0179940085,"5.91":5.5778318884,"5.92":5.1661257896,"5.93":4.7754232811,"5.94":4.3759969967,"5.95":3.9741649194,"5.96":3.6146745404,"5.97":3.2623530261,"5.98":2.9058571573,"5.99":2.5418364015,"6.0":2.176848585,"6.01":1.8047721788,"6.0200000000000005":1.4266948386,"6.03":1.0462386241,"6.04":0.7024640322,"6.05":0.4097607545,"6.0600000000000005":0.1260504911,"6.07":0.0,"6.08":0.0,"6.09":0.0,"6.1000000000000005":0.0,"6.11":0.0,"6.12":0.0,"6.13":0.0,"6.140000000000001":0.0,"6.15":0.0,"6.16":0.0,"6.17":0.0,"6.18":0.0,"6.19":0.0,"6.2":0.0,"6.21":0.0,"6.22":0.0,"6.23":0.0,"6.24":0.0,"6.25":0.0,"6.26":0.0,"6.2700000000000005":0.0,"6.28":0.0,"6.29":0.0091391543,"6.3":0.020872616,"6.3100000000000005":0.0450981098,"6.32":0.0885325522,"6.33":0.1592618538,"6.34":0.2628801363,"6.3500000000000005":0.4065255312,"6.36":0.5679604109,"6.37":0.7917771965,"6.38":1.1265432489,"6.390000000000001":1.5768544571,"6.4":2.1034445566,"6.41":2.6472537667,"6.42":3.1798632138,"6.43":3.7138378376,"6.44":4.2489972113,"6.45":4.746235826,"6.46":5.2094400934,"6.47":5.6330958767,"6.48":6.0128707975,"6.49":6.345815852,"6.5":6.6322239833,"6.51":6.8713696406,"6.5200000000000005":7.0626543271,"6.53":7.2090382445,"6.54":7.3147440718,"6.55":7.3850640558,"6.5600000000000005":7.4261288583,"6.57":7.4446485662,"6.58":7.4476372804,"6.59":7.4421331462,"6.6000000000000005":7.4349255515,"6.61":7.4326264871,"6.62":7.4402772658,"6.63":7.4621026222,"6.640000000000001":7.5027337512,"6.65":7.5641065999,"6.66":7.6473983194,"6.67":7.7525593925,"6.68":7.8783541103,"6.69":8.0224418836,"6.7":8.1814933549,"6.71":8.3513341329,"6.72":8.527108268,"6.73":8.7034533477,"6.74":8.8746793061,"6.75":9.0274877182,"6.76":9.1644657649,"6.7700000000000005":9.2796158389,"6.78":9.368267727,"6.79":9.4261717784,"6.8":9.4495631034,"6.8100000000000005":9.4352054396,"6.82":9.3804178603,"6.83":9.2830884211,"6.84":9.136657511,"6.8500000000000005":8.9261570518,"6.86":8.6602277175,"6.87":8.307880449,"6.88":7.8907884528,"6.890000000000001":7.4066983312,"6.9":6.8504690648,"6.91":6.2301777558,"6.92":5.5933580673,"6.93":4.9105808561,"6.94":4.1927604314,"6.95":3.4812214403,"6.96":2.7912491738,"6.97":2.1109334449,"6.98":1.4884651835,"6.99":0.946013102,"7.0":0.5203965328,"7.01":0.2562774652,"7.0200000000000005":0.0923857688,"7.03":0.0031615439,"7.04":0.0,"7.05":0.0,"7.0600000000000005":0.0,"7.07":0.0,"7.08":0.0,"7.09":0.0293670275,"7.1000000000000005":0.1291184866,"7.11":0.273355172,"7.12":0.4608474917,"7.13":0.6947500326,"7.140000000000001":0.9898010445,"7.15":1.3733012523,"7.16":1.8472743789,"7.17":2.4110732478,"7.18":3.0546727901,"7.19":3.7306200284,"7.2":4.4596803485,"7.21":5.1821832623,"7.22":5.879940825,"7.23":6.5972500958,"7.24":7.2862666172,"7.25":7.9190125398,"7.26":8.4888304207,"7.2700000000000005":9.02905541,"7.28":9.5101932442,"7.29":9.9326906785,"7.3":10.2785988734,"7.3100000000000005":10.5428469355,"7.32":10.7339952285,"7.33":10.8441214113,"7.34":10.8765572295,"7.3500000000000005":10.8352368278,"7.36":10.7230679845,"7.37":10.5408530911,"7.38":10.2859615019,"7.390000000000001":9.9576266948,"7.4":9.5547776958,"7.41":9.0733098712,"7.42":8.5158526355,"7.43":7.9058908824,"7.44":7.2643892637,"7.45":6.6064234319,"7.46":5.9857819077,"7.47":5.3671974656,"7.48":4.7808709051,"7.49":4.2319338353,"7.5":3.7217878239,"7.51":3.2622517857,"7.5200000000000005":2.8050079592,"7.53":2.3766495687,"7.54":2.0157347102,"7.55":1.7219592031,"7.5600000000000005":1.4710085068,"7.57":1.2611010926,"7.58":1.079011976,"7.59":0.9447974649,"7.6000000000000005":0.7976196776,"7.61":0.6045050757,"7.62":0.416851382,"7.63":0.241074237,"7.640000000000001":0.080530926,"7.65":0.0,"7.66":0.0,"7.67":0.0,"7.68":0.0,"7.69":0.0,"7.7":0.0,"7.71":0.0,"7.72":0.0,"7.73":0.0,"7.74":0.0,"7.75":0.0,"7.76":0.0,"7.7700000000000005":0.0,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0,"7.82":0.0,"7.83":0.0,"7.84":0.0,"7.8500000000000005":0.0,"7.86":0.0,"7.87":0.0,"7.88":0.0,"7.890000000000001":0.0,"7.9":0.0,"7.91":0.0,"7.92":0.0,"7.930000000000001":0.0,"7.94":0.0,"7.95":0.0,"7.96":0.0,"7.97":0.0,"7.98":0.0,"7.99":0.0,"8.0":0.0,"8.01":0.0,"8.02":0.0,"8.03":0.0,"8.040000000000001":0.0425737698,"8.05":0.1751299763,"8.06":0.3113217515,"8.07":0.4439478637,"8.08":0.5740059305,"8.09":0.7017543214,"8.1":0.8275600521,"8.11":0.9513890087,"8.120000000000001":1.0733323137,"8.13":1.1926332065,"8.14":1.3079756318,"8.15":1.4209095886,"8.16":1.577559689,"8.17":1.8141697377,"8.18":2.0557521568,"8.19":2.2984410395,"8.2":2.5626845613,"8.21":2.8190206487,"8.22":3.0613104677,"8.23":3.2847430171,"8.24":3.4825435321,"8.25":3.599903579,"8.26":3.5794187118,"8.27":3.3891161619,"8.28":3.0579681373,"8.290000000000001":2.6132759653,"8.3":2.0837362954,"8.31":1.5152148074,"8.32":0.9715710101,"8.33":0.4883953494,"8.34":0.0712237166,"8.35":0.0,"8.36":0.0,"8.370000000000001":0.0,"8.38":0.0,"8.39":0.0,"8.4":0.0,"8.41":0.1325126544,"8.42":0.6945612261,"8.43":1.4483978966,"8.44":2.3631464645,"8.45":3.4343334973,"8.46":4.6694649317,"8.47":6.0804598136,"8.48":7.6393448672,"8.49":9.3154214026,"8.5":11.0995326782,"8.51":12.9476275261,"8.52":14.8205073972,"8.53":16.6754691281,"8.540000000000001":18.4704820519,"8.55":20.1665458073,"8.56":21.6355781761,"8.57":22.9144532872,"8.58":24.0729674212,"8.59":25.1718686424,"8.6":26.2059761749,"8.61":27.1184814623,"8.620000000000001":27.8769534953,"8.63":28.4632160914,"8.64":28.8668315281,"8.65":29.0814290665,"8.66":29.1062553135,"8.67":28.9444770515,"8.68":28.602755065,"8.69":28.0914971759,"8.700000000000001":27.423683815,"8.71":26.6153424288,"8.72":25.6841580427,"8.73":24.6491648499,"8.74":23.5298851796,"8.75":22.3458765425,"8.76":21.1168371109,"8.77":19.8627294573,"8.78":18.6027417974,"8.790000000000001":17.3657164628,"8.8":16.2251969209,"8.81":15.1771617136,"8.82":14.1482235205,"8.83":13.1438638371,"8.84":12.1468101542,"8.85":11.1054969159,"8.86":10.0813836714,"8.870000000000001":9.1093013195,"8.88":8.1813128831,"8.89":7.3070568756,"8.9":6.5026593567,"8.91":5.7320281726,"8.92":4.9935862812,"8.93":4.3135122021,"8.94":3.6933075559,"8.950000000000001":3.1013523741,"8.96":2.5594742299,"8.97":2.0667644428,"8.98":1.6422860278,"8.99":1.2826137877,"9.0":0.9932206156,"9.01":0.7744871342,"9.02":0.6057678617,"9.03":0.4709422423,"9.040000000000001":0.3630716545,"9.05":0.2779273687,"9.06":0.1771312165,"9.07":0.0935084022,"9.08":0.031894429,"9.09":0.0,"9.1":0.0,"9.11":0.0,"9.120000000000001":0.0,"9.13":0.0,"9.14":0.0,"9.15":0.0,"9.16":0.0,"9.17":0.0,"9.18":0.0,"9.19":0.0,"9.200000000000001":0.0,"9.21":0.0,"9.22":0.0,"9.23":0.0,"9.24":0.0,"9.25":0.0,"9.26":0.0,"9.27":0.0,"9.28":0.0,"9.290000000000001":0.0,"9.3":0.0,"9.31":0.0,"9.32":0.0,"9.33":0.0,"9.34":0.0,"9.35":0.0,"9.36":0.0,"9.370000000000001":0.0,"9.38":0.0041526548,"9.39":0.0328622527,"9.4":0.0713832185,"9.41":0.1131328162,"9.42":0.1296384401,"9.43":0.101979928,"9.44":0.0692507998,"9.450000000000001":0.0270538804,"9.46":0.0,"9.47":0.0,"9.48":0.0,"9.49":0.0,"9.5":0.0,"9.51":0.0,"9.52":0.0,"9.53":0.0,"9.540000000000001":0.026626184,"9.55":0.1670393547,"9.56":0.3578198346,"9.57":0.5959838711,"9.58":0.8813198189,"9.59":1.1712076766,"9.6":1.4190663818,"9.61":1.7779929277,"9.620000000000001":2.1769474509,"9.63":2.6624779968,"9.64":3.2316434526,"9.65":3.871788533,"9.66":4.5326063237,"9.67":5.2111292701,"9.68":5.8563129423,"9.69":6.5038071281,"9.700000000000001":7.1478676198,"9.71":8.0441048959,"9.72":8.9167617137,"9.73":9.729192348,"9.74":10.4674483984,"9.75":11.1207957771,"9.76":11.6800249649,"9.77":12.1375228647,"9.78":12.4879080959,"9.790000000000001":12.7277310555,"9.8":12.8555283854,"9.81":12.8718336814,"9.82":12.7790437392,"9.83":12.5812930684,"9.84":12.2843244287,"9.85":11.8953582729,"9.86":11.4231061437,"9.870000000000001":10.9618769566,"9.88":10.7023622,"9.89":10.4059153967,"9.9":10.0407540245,"9.91":9.587402392,"9.92":9.0339768469,"9.93":8.4153383968,"9.94":7.7275377295,"9.950000000000001":7.0108116023,"9.96":6.2726906262,"9.97":5.5327617225,"9.98":4.8092965543,"9.99":4.1167283069,"10.0":3.4729087866,"12.0":1.5430485215,"12.01":0.9372939081,"12.02":0.444869689,"12.030000000000001":0.1292006868,"12.040000000000001":0.0392483334,"12.05":0.0017238739,"12.06":0.0,"12.07":0.0,"12.08":0.0,"12.09":0.0,"12.1":0.0,"12.11":0.0,"12.120000000000001":0.0,"12.13":0.0,"12.14":0.0,"12.15":0.0,"12.16":0.0,"12.17":0.0,"12.18":0.0,"12.19":0.0,"12.200000000000001":0.0,"12.21":0.0,"12.22":0.0,"12.23":0.0,"12.24":0.0,"12.25":0.0,"12.26":0.0,"12.27":0.0,"12.280000000000001":0.0,"12.290000000000001":0.0,"12.3":0.0,"12.31":0.0,"12.32":0.0,"12.33":0.0,"12.34":0.0,"12.35":0.0,"12.36":0.0,"12.370000000000001":0.0,"12.38":0.0,"12.39":0.0,"12.4":0.0,"12.41":0.0,"12.42":0.0805111348,"12.43":0.380308629,"12.44":0.8499559602,"12.450000000000001":1.384671433,"12.46":1.9646357639,"12.47":2.5588647016,"12.48":3.190070886,"12.49":3.8128514629,"12.5":4.4215341338,"12.51":5.0276566615,"12.52":5.6254362731,"12.530000000000001":6.1887511622,"12.540000000000001":6.7050353675,"12.55":7.1928900951,"12.56":7.6087207939,"12.57":7.9760656926,"12.58":8.3003012544,"12.59":8.5691572621,"12.6":8.7460362021,"12.61":8.8452346633,"12.620000000000001":8.8840707242,"12.63":8.861016562,"12.64":8.775783853,"12.65":8.6293366493,"12.66":8.4238654352,"12.67":8.162724246,"12.68":7.8503341369,"12.69":7.4683341403,"12.700000000000001":7.0381096531,"12.71":6.5718561369,"12.72":6.0773788923,"12.73":5.5629341567,"12.74":5.0363842434,"12.75":4.5059897395,"12.76":3.9476625017,"12.77":3.3946800629,"12.780000000000001":2.859303746,"12.790000000000001":2.3672975104,"12.8":1.9611593008,"12.81":1.6109648422,"12.82":1.3296801639,"12.83":1.1268912509,"12.84":0.9826098549,"12.85":0.8820888934,"12.86":0.8232326376,"12.870000000000001":0.7566328449,"12.88":0.645368445,"12.89":0.5473880954,"12.9":0.4632389165,"12.91":0.3916055124,"12.92":0.3361236956,"12.93":0.2971924855,"12.94":0.2746201187,"12.950000000000001":0.2718586599,"12.96":0.2893766181,"12.97":0.3280077225,"12.98":0.391051996,"12.99":0.4818151902,"13.0":0.6114286812,"13.01":0.7788052473,"13.02":0.9783280138,"13.030000000000001":1.2081395704,"13.040000000000001":1.4588609042,"13.05":1.7259566045,"13.06":1.9946564096,"13.07":2.2714230517,"13.08":2.5515851003,"13.09":2.8254072864,"13.1":3.0916315846,"13.11":3.3496517057,"13.120000000000001":3.5969302526,"13.13":3.8362619224,"13.14":4.0675695164,"13.15":4.300217202,"13.16":4.5317890224,"13.17":4.756724652,"13.18":4.9790115288,"13.19":5.1996987898,"13.200000000000001":5.4173578406,"13.21":5.635517324,"13.22":5.8543439231,"13.23":6.0731408479,"13.24":6.2866185869,"13.25":6.4978373784,"13.26":6.7139308864,"13.27":6.9170142053,"13.280000000000001":7.1324314086,"13.290000000000001":7.3481833178,"13.3":7.5477950346,"13.31":7.7577761787,"13.32":7.9755487095,"13.33":8.2021833434,"13.34":8.4024049736,"13.35":8.5735059435,"13.36":8.7391905691,"13.370000000000001":8.8950966909,"13.38":9.1164097071,"13.39":9.3776488207,"13.4":9.5943500967,"13.41":9.7598266473,"13.42":9.8689198952,"13.43":9.9176009807,"13.44":9.9029284179,"13.450000000000001":9.8231360163,"13.46":9.6776670419,"13.47":9.4672887165,"13.48":9.1940178395,"13.49":8.8615445779,"13.5":8.4779033247,"13.51":8.1876738391,"13.52":7.8979027682,"13.530000000000001":7.5668405967,"13.540000000000001":7.2220255743,"13.55":6.8695207306,"13.56":6.4890366761,"13.57":6.1053080537,"13.58":5.7299937844,"13.59":5.3691364869,"13.6":5.028162711,"13.61":4.6833445301,"13.620000000000001":4.3680544999,"13.63":4.0571237434,"13.64":3.7466185618,"13.65":3.4330162944,"13.66":3.1155991666,"13.67":2.8045339144,"13.68":2.4966235908,"13.69":2.1977922037,"13.700000000000001":1.9119878395,"13.71":1.640150232,"13.72":1.3858522285,"13.73":1.153940432,"13.74":0.9488759439,"13.75":0.7744333961,"13.76":0.6252351364,"13.77":0.4960338741,"13.780000000000001":0.384258342,"13.790000000000001":0.2875931853,"13.8":0.2040743346,"13.81":0.1321714678,"13.82":0.0708553584,"13.83":0.0196482924,"13.84":0.0,"13.85":0.0,"13.86":0.0,"13.870000000000001":0.0,"13.88":0.0,"13.89":0.0,"13.9":0.0257705018,"13.91":0.1060267349,"13.92":0.2158318814,"13.93":0.3596440022,"13.94":0.5403731535,"13.950000000000001":0.7599288671,"13.96":1.0237757051,"13.97":1.3396062683,"13.98":1.7010820118,"13.99":2.1020164532,"14.0":2.5363778619,"14.01":2.998774952,"14.02":3.482543116,"14.030000000000001":3.986551699,"14.040000000000001":4.5062869255,"14.05":5.0710916527,"14.06":5.6547220197,"14.07":6.2454961586,"14.08":6.8376563364,"14.09":7.4374509472,"14.1":8.0280842541,"14.11":8.6464035608,"14.120000000000001":9.2357182814,"14.13":9.7935779977,"14.14":10.3026893973,"14.15":10.7367973117,"14.16":11.140342243,"14.17":11.5178019164,"14.18":11.8398161624,"14.19":12.0997238882,"14.200000000000001":12.358771707,"14.21":12.5523373033,"14.22":12.648260714,"14.23":12.6460363844,"14.24":12.546812424,"14.25":12.3524660603,"14.26":12.0670216127,"14.27":11.6958012974,"14.280000000000001":11.2443419254,"14.290000000000001":10.8382217319,"14.3":10.4090835386,"14.31":9.9474947696,"14.32":9.4615641571,"14.33":8.9594882618,"14.34":8.3943866059,"14.35":7.8241858141,"14.36":7.2667429755,"14.370000000000001":6.7226804988,"14.38":6.1984277315,"14.39":5.6993872651,"14.4":5.2300995315,"14.41":4.7945231958,"14.42":4.4043583955,"14.43":4.0495860627,"14.44":3.7304179694,"14.450000000000001":3.4457024618,"14.46":3.1914832526,"14.47":2.9696736491,"14.48":2.7834289529,"14.49":2.617262339,"14.5":2.4706426157,"14.51":2.3398664048,"14.52":2.2212826565,"14.530000000000001":2.1134849479,"14.540000000000001":2.0217106567,"14.55":1.9320957348,"14.56":1.8427708798,"14.57":1.7523930944,"14.58":1.6601864439,"14.59":1.56888027,"14.6":1.4810472552,"14.61":1.3924791724,"14.620000000000001":1.2979274098,"14.63":1.201793751,"14.64":1.117225403,"14.65":1.0391253209,"14.66":0.9699025104,"14.67":0.9134235337,"14.68":0.8718915878,"14.69":0.8449094965,"14.700000000000001":0.8344220914,"14.71":0.8424945082,"14.72":0.8756874599,"14.73":0.9320669633,"14.74":1.0233654602,"14.75":1.1437852581,"14.76":1.3092338791,"14.77":1.5074170814,"14.780000000000001":1.7440503801,"14.790000000000001":2.0344556449,"14.8":2.3514127556,"14.81":2.7150589802,"14.82":3.1372410804,"14.83":3.5670633042,"14.84":4.0067163617,"14.85":4.4481251774,"14.86":4.8574346763,"14.870000000000001":5.2631824727,"14.88":5.6547337124,"14.89":6.0263544407,"14.9":6.3717255603,"14.91":6.6812095264,"14.92":6.9552640964,"14.93":7.1903293116,"14.94":7.3836463535,"14.950000000000001":7.5333197101,"14.96":7.6383575005,"14.97":7.6986886671,"14.98":7.7151563968,"14.99":7.6894878118,"15.0":7.6242406768},"1":{"5.0":0.0,"5.01":0.0,"5.0200000000000005":0.0,"5.03":0.0,"5.04":0.0,"5.05":0.0,"5.0600000000000005":0.0,"5.07":0.0,"5.08":0.0,"5.09":0.0,"5.1000000000000005":0.0,"5.11":0.0,"5.12":0.0,"5.13":0.0,"5.14":0.0,"5.15":0.0,"5.16":0.0,"5.17":0.3485346227,"5.18":1.2750382324,"5.19":2.1368509469,"5.2":3.0242927819,"5.21":4.0635194271,"5.22":5.3575807085,"5.23":6.959311488,"5.24":8.9141928654,"5.25":11.2511225116,"5.26":13.7138088816,"5.2700000000000005":16.1719863667,"5.28":18.4576738282,"5.29":20.3357026434,"5.3":22.0693230943,"5.3100000000000005":23.4508410804,"5.32":24.3103891555,"5.33":24.9751590813,"5.34":25.4218234186,"5.3500000000000005":25.6258599414,"5.36":25.5634174606,"5.37":25.2118989732,"5.38":24.5506141267,"5.39":23.5614858042,"5.4":22.2297907075,"5.41":20.5449093752,"5.42":18.5010574174,"5.43":16.0979671239,"5.44":13.3414872388,"5.45":10.2440687648,"5.46":6.8630710605,"5.47":4.2125232921,"5.48":2.3332266114,"5.49":0.6469461133,"5.5":0.0,"5.51":0.0,"5.5200000000000005":0.0,"5.53":0.0,"5.54":0.0,"5.55":0.0,"5.5600000000000005":0.0,"5.57":0.0,"5.58":0.0,"5.59":0.0,"5.6000000000000005":0.0,"5.61":0.0,"5.62":0.0,"5.63":0.0,"5.64":0.0,"5.65":0.0,"5.66":0.0,"5.67":0.0,"5.68":0.0,"5.69":0.0,"5.7":0.0,"5.71":0.0,"5.72":0.0,"5.73":0.0231149803,"5.74":0.7521394347,"5.75":1.761097422,"5.76":2.6304014966,"5.7700000000000005":3.2425609984,"5.78":3.5504303543,"5.79":3.2576986011,"5.8":2.899044912,"5.8100000000000005":2.2830430432,"5.82":1.6960690359,"5.83":1.392352795,"5.84":1.1859633412,"5.8500000000000005":1.1185243115,"5.86":1.1764375346,"5.87":1.2342713207,"5.88":1.1790987251,"5.89":1.0123323902,"5.9":0.8506874236,"5.91":0.6945015692,"5.92":0.5428141459,"5.93":0.3971764436,"5.94":0.1699368934,"5.95":0.0,"5.96":0.0,"5.97":0.0,"5.98":0.0,"5.99":0.0,"6.0":0.0,"6.01":0.0,"6.0200000000000005":0.0,"6.03":0.0,"6.04":0.0,"6.05":0.2822085364,"6.0600000000000005":0.6978228594,"6.07":1.5573588442,"6.08":2.9122977335,"6.09":4.2486230569,"6.1000000000000005":5.5592055429,"6.11":6.8387832644,"6.12":8.0831908381,"6.13":9.2891505102,"6.140000000000001":10.453953107,"6.15":11.5750567868,"6.16":12.6496369361,"6.17":13.6741239244,"6.18":14.6437665988,"6.19":15.552258291,"6.2":16.3914587916,"6.21":17.1512404018,"6.22":17.8194790912,"6.23":18.3822033655,"6.24":18.8239041414,"6.25":19.1279992412,"6.26":19.2774366056,"6.2700000000000005":19.2553225188,"6.28":19.0417747704,"6.29":18.6262708228,"6.3":17.9720786455,"6.3100000000000005":17.1415138829,"6.32":16.1555163619,"6.33":15.044924866,"6.34":13.8356186333,"6.3500000000000005":12.565229393,"6.36":11.1650593182,"6.37":9.8253137673,"6.38":8.7516532203,"6.390000000000001":7.9920361331,"6.4":7.4397053644,"6.41":6.9136255243,"6.42":6.3559490235,"6.43":5.851812347,"6.44":5.4372004209,"6.45":5.0097170646,"6.46":4.616827408,"6.47":4.2659646154,"6.48":3.9630855414,"6.49":3.7126841267,"6.5":3.5231035249,"6.51":3.3932877113,"6.5200000000000005":3.316365333,"6.53":3.2904826479,"6.54":3.3122658509,"6.55":3.3769352168,"6.5600000000000005":3.4784652782,"6.57":3.6097863467,"6.58":3.7630212739,"6.59":3.9297501398,"6.6000000000000005":4.1012945953,"6.61":4.2700137193,"6.62":4.4260180683,"6.63":4.5603576955,"6.640000000000001":4.6695022811,"6.65":4.7463736684,"6.66":4.7866655651,"6.67":4.7875936713,"6.68":4.7480219523,"6.69":4.6685394079,"6.7":4.5514849469,"6.71":4.4009195842,"6.72":4.2225467865,"6.73":4.0235833535,"6.74":3.8125846828,"6.75":3.5712859429,"6.76":3.340598921,"6.7700000000000005":3.1317602175,"6.78":2.9588370113,"6.79":2.8359393199,"6.8":2.7768151605,"6.8100000000000005":2.7944514062,"6.82":2.9006923832,"6.83":3.10588768,"6.84":3.4001043616,"6.8500000000000005":3.7382860127,"6.86":4.1576845348,"6.87":4.5442170854,"6.88":4.972199499,"6.890000000000001":5.425405386,"6.9":5.8711541116,"6.91":6.319943362,"6.92":6.9163080093,"6.93":7.5304544062,"6.94":8.1702845523,"6.95":8.9455568573,"6.96":9.8706172934,"6.97":10.8625583896,"6.98":12.0433106787,"6.99":13.4410086216,"7.0":15.1282571246,"7.01":17.1930822863,"7.0200000000000005":19.3644850162,"7.03":21.4923785059,"7.04":23.4450706309,"7.05":25.1870048095,"7.0600000000000005":26.6790245332,"7.07":27.8816029286,"7.08":28.7589985953,"7.09":29.2495185847,"7.1000000000000005":29.3450175657,"7.11":29.0649955556,"7.12":28.4192323925,"7.13":27.442010516,"7.140000000000001":26.2181532758,"7.15":24.878840193,"7.16":23.474094409,"7.17":22.0566905323,"7.18":20.6500332076,"7.19":19.1509402427,"7.2":17.6994539793,"7.21":16.1584106062,"7.22":14.5354112278,"7.23":13.0476364186,"7.24":11.5988943159,"7.25":10.157172554,"7.26":8.7569556813,"7.2700000000000005":7.5574934928,"7.28":6.505670222,"7.29":5.6384530891,"7.3":4.9285942371,"7.3100000000000005":4.3765206919,"7.32":4.0218489384,"7.33":3.8369296571,"7.34":3.8153749922,"7.3500000000000005":3.9411453533,"7.36":4.1841372352,"7.37":4.5022714025,"7.38":4.8385350387,"7.390000000000001":5.1445622549,"7.4":5.3756061151,"7.41":5.4805234108,"7.42":5.4332990298,"7.43":5.2851856534,"7.44":5.0852550736,"7.45":4.8620212869,"7.46":4.785564026,"7.47":4.7056981676,"7.48":4.7215489918,"7.49":4.8401784898,"7.5":5.0587267401,"7.51":5.4089949245,"7.5200000000000005":5.7190965466,"7.53":6.0877638415,"7.54":6.6567890025,"7.55":7.4279983431,"7.5600000000000005":8.3170729922,"7.57":9.3196537932,"7.58":10.3884035419,"7.59":11.5983434896,"7.6000000000000005":12.7207193412,"7.61":13.6265715246,"7.62":14.5002687894,"7.63":15.3541144033,"7.640000000000001":16.1721027713,"7.65":16.917123687,"7.66":17.5514888158,"7.67":18.1729040873,"7.68":18.7756336768,"7.69":19.3528417984,"7.7":19.8970114657,"7.71":20.4003773853,"7.72":20.8553540271,"7.73":21.2549415502,"7.74":21.5930944107,"7.75":21.8650400154,"7.76":22.0675375405,"7.7700000000000005":22.1990698839,"7.78":22.2599645243,"7.79":22.2524417306,"7.8":22.1805910072,"7.8100000000000005":22.0502491137,"7.82":21.8688786119,"7.83":21.2622848887,"7.84":20.2976593114,"7.8500000000000005":19.1551048266,"7.86":17.9487533183,"7.87":16.6991398058,"7.88":15.4211679994,"7.890000000000001":14.1293141747,"7.9":12.8373719394,"7.91":11.5582147341,"7.92":10.3035801809,"7.930000000000001":9.0838805432,"7.94":7.9080437561,"7.95":6.7833896527,"7.96":5.7155460689,"7.97":4.7084093571,"7.98":3.7641534154,"7.99":2.8832905664,"8.0":2.064786467,"8.01":1.3060622086,"8.02":0.6041272525,"8.03":0.0,"8.040000000000001":0.0,"8.05":0.0,"8.06":0.0,"8.07":0.0,"8.08":0.0,"8.09":0.0,"8.1":0.0,"8.11":0.0,"8.120000000000001":0.0,"8.13":0.0,"8.14":0.0,"8.15":0.0,"8.16":0.0413352904,"8.17":0.7009605859,"8.18":1.4585130145,"8.19":2.3139579134,"8.2":3.3541716008,"8.21":4.4851587707,"8.22":5.6945664845,"8.23":6.9716039803,"8.24":8.2941533572,"8.25":9.458670508,"8.26":10.243366495,"8.27":10.5090569826,"8.28":10.3328433574,"8.290000000000001":9.7752879404,"8.3":8.8863705856,"8.31":7.7612228183,"8.32":6.5377876758,"8.33":5.3900171097,"8.34":4.3736579269,"8.35":3.7814209016,"8.36":3.4063051746,"8.370000000000001":2.9818580408,"8.38":2.4647520395,"8.39":1.8380126471,"8.4":1.137650509,"8.41":0.7751459734,"8.42":0.6889870849,"8.43":0.7828745189,"8.44":0.9649042975,"8.45":1.2242209846,"8.46":1.5918888291,"8.47":2.1202759575,"8.48":2.7615000964,"8.49":3.4547494115,"8.5":4.1566068835,"8.51":4.7983953335,"8.52":5.3302645594,"8.53":5.6935662423,"8.540000000000001":5.8383751873,"8.55":5.725111307,"8.56":4.9790179427,"8.57":3.8459720176,"8.58":2.6824155707,"8.59":1.7940489863,"8.6":1.2360310454,"8.61":0.8592392836,"8.620000000000001":0.5915541794,"8.63":0.4002447856,"8.64":0.2674383771,"8.65":0.1761786066,"8.66":0.1168269159,"8.67":0.0813064748,"8.68":0.0625213037,"8.69":0.0569866282,"8.700000000000001":0.0617881117,"8.71":0.0786284639,"8.72":0.1100346902,"8.73":0.1601961213,"8.74":0.2334739797,"8.75":0.3345622283,"8.76":0.4706262446,"8.77":0.6532232779,"8.78":0.8955482281,"8.790000000000001":1.2523727918,"8.8":1.9492618939,"8.81":2.9308897207,"8.82":3.8947943303,"8.83":4.8352090698,"8.84":5.6671517367,"8.85":6.1869254714,"8.86":6.6151565854,"8.870000000000001":7.0735750953,"8.88":7.5356978183,"8.89":8.0356162023,"8.9":8.6340683657,"8.91":9.2078050283,"8.92":9.7535689219,"8.93":10.3643585687,"8.94":11.0454041819,"8.950000000000001":11.6843540113,"8.96":12.3543610054,"8.97":13.0473965669,"8.98":13.8240617196,"8.99":14.6635721825,"9.0":15.5796341967,"9.01":16.571407583,"9.02":17.5578427433,"9.03":18.4746176059,"9.040000000000001":19.2931063844,"9.05":19.9969835502,"9.06":20.4387753356,"9.07":20.7491793526,"9.08":20.9553611698,"9.09":21.0795459196,"9.1":21.0789837037,"9.11":20.9456018163,"9.120000000000001":20.6987827923,"9.13":20.359584449,"9.14":19.9501398488,"9.15":19.4930073005,"9.16":18.9513265725,"9.17":18.3125646761,"9.18":17.7543496698,"9.19":17.2736612865,"9.200000000000001":16.877783695,"9.21":16.572902972,"9.22":16.3663841809,"9.23":16.263281013,"9.24":16.2708562802,"9.25":16.3569877469,"9.26":16.4192099605,"9.27":16.5553507174,"9.28":16.7589893951,"9.290000000000001":17.0223501836,"9.3":17.3367842136,"9.31":17.6932332079,"9.32":18.0826480831,"9.33":18.4963390364,"9.34":18.9262380688,"9.35":19.3650603696,"9.36":19.8063572386,"9.370000000000001":20.2444599055,"9.38":20.673398211,"9.39":21.118980103,"9.4":21.5822552017,"9.41":22.0345997193,"9.42":22.358962134,"9.43":22.4745676789,"9.44":22.5249561318,"9.450000000000001":22.4740543597,"9.46":22.2542098326,"9.47":21.8644814174,"9.48":21.4651792518,"9.49":21.0682776547,"9.5":20.672066848,"9.51":20.2730897208,"9.52":19.8662233329,"9.53":19.4448496939,"9.540000000000001":18.9548750757,"9.55":18.336541155,"9.56":17.6132677153,"9.57":16.7928519267,"9.58":15.8738766727,"9.59":14.6971132618,"9.6":13.0959711653,"9.61":11.6528409355,"9.620000000000001":10.123106162,"9.63":8.7009422885,"9.64":7.4038816467,"9.65":6.2197041895,"9.66":5.0079758583,"9.67":3.802238605,"9.68":2.4526949475,"9.69":1.1510793393,"9.700000000000001":0.0,"9.71":0.0,"9.72":0.0,"9.73":0.0,"9.74":0.0,"9.75":0.0,"9.76":0.0,"9.77":0.0,"9.78":0.0,"9.790000000000001":0.0,"9.8":0.0,"9.81":0.0,"9.82":0.0,"9.83":0.0,"9.84":0.0,"9.85":0.0,"9.86":0.0,"9.870000000000001":0.3171795385,"9.88":1.6719864698,"9.89":3.0926526894,"9.9":4.4225930913,"9.91":5.5503918222,"9.92":6.3904299692,"9.93":7.032367882,"9.94":7.4233634536,"9.950000000000001":7.6714053356,"9.96":7.7722540463,"9.97":7.7708852329,"9.98":7.7086080418,"9.99":7.6144977158,"10.0":7.537796768,"12.0":1.6076257274,"12.01":2.4904574631,"12.02":3.6141800389,"12.030000000000001":5.2146702816,"12.040000000000001":7.4777391667,"12.05":9.776329195,"12.06":11.9968427588,"12.07":14.0794424273,"12.08":16.0265109817,"12.09":17.8392821463,"12.1":19.5183186693,"12.11":21.0636768579,"12.120000000000001":22.4751350361,"12.13":23.7524628421,"12.14":24.894527988,"12.15":25.8977109055,"12.16":26.6367914756,"12.17":27.0818771168,"12.18":26.9916762165,"12.19":26.8235401784,"12.200000000000001":26.5831203052,"12.21":26.2767377715,"12.22":25.9112396033,"12.23":25.493909078,"12.24":25.032280263,"12.25":24.5339109465,"12.26":24.0061253017,"12.27":23.4557400984,"12.280000000000001":22.8887899941,"12.290000000000001":22.3102683066,"12.3":21.7238996155,"12.31":21.1319595633,"12.32":20.5351553507,"12.33":19.9325777447,"12.34":19.3217320652,"12.35":18.6986517534,"12.36":18.0580939503,"12.370000000000001":17.3938122438,"12.38":16.6988975939,"12.39":15.9661746379,"12.4":15.1886373155,"12.41":14.3599052085,"12.42":13.4884092872,"12.43":12.7965648027,"12.44":12.4429076356,"12.450000000000001":12.1383429104,"12.46":11.835016399,"12.47":11.4438458139,"12.48":11.0687518728,"12.49":10.5750089334,"12.5":9.974316885,"12.51":9.3403298733,"12.52":8.6890058357,"12.530000000000001":7.969089894,"12.540000000000001":7.1736671939,"12.55":6.4131979129,"12.56":5.5649682862,"12.57":4.7536154022,"12.58":4.0294166319,"12.59":3.3810773876,"12.6":2.7004289875,"12.61":2.0605222491,"12.620000000000001":1.5398375111,"12.63":1.1415257019,"12.64":0.8671613622,"12.65":0.7168169141,"12.66":0.6891542631,"12.67":0.781527815,"12.68":0.9900935025,"12.69":1.2185088273,"12.700000000000001":1.5195494324,"12.71":1.907294933,"12.72":2.3764052454,"12.73":2.9215755372,"12.74":3.535020457,"12.75":4.2103253117,"12.76":4.8150581808,"12.77":5.4423059621,"12.780000000000001":6.1049672586,"12.790000000000001":6.8635466655,"12.8":7.8433048574,"12.81":8.9107593364,"12.82":10.0892498106,"12.83":11.393172093,"12.84":12.732205735,"12.85":14.0381011883,"12.86":15.2926922134,"12.870000000000001":16.3021982417,"12.88":16.9209193509,"12.89":17.3641226419,"12.9":17.6341285223,"12.91":17.7283664351,"12.92":17.6670199315,"12.93":17.4605258891,"12.94":17.1199677214,"12.950000000000001":16.6729717682,"12.96":16.1372600713,"12.97":15.5316640342,"12.98":14.8841060926,"12.99":14.2212329311,"13.0":13.597106042,"13.01":13.0257448469,"13.02":12.5066924038,"13.030000000000001":12.0514580319,"13.040000000000001":11.6454075219,"13.05":11.2894422535,"13.06":10.9483677505,"13.07":10.6567887776,"13.08":10.4106089968,"13.09":10.1860226407,"13.1":9.9855044381,"13.11":9.8111457333,"13.120000000000001":9.6533399193,"13.13":9.5224161324,"13.14":9.4132412119,"13.15":9.3505831001,"13.16":9.3187945462,"13.17":9.2858033941,"13.18":9.2547304514,"13.19":9.2155297586,"13.200000000000001":9.1484197134,"13.21":9.0536616238,"13.22":8.9190538744,"13.23":8.7309118674,"13.24":8.4603489626,"13.25":8.1130828945,"13.26":7.7129716743,"13.27":7.1923015389,"13.280000000000001":6.6496706504,"13.290000000000001":6.0474832844,"13.3":5.3350634824,"13.31":4.6248644601,"13.32":3.9245087764,"13.33":3.2552228757,"13.34":2.511672091,"13.35":1.7085486076,"13.36":0.9583933988,"13.370000000000001":0.2709988447,"13.38":0.0,"13.39":0.0,"13.4":0.0,"13.41":0.0,"13.42":0.0,"13.43":0.0,"13.44":0.0,"13.450000000000001":0.0,"13.46":0.0,"13.47":0.0,"13.48":0.0,"13.49":0.0,"13.5":0.0,"13.51":0.5200776168,"13.52":1.2604457041,"13.530000000000001":1.9871400245,"13.540000000000001":2.7780042217,"13.55":3.6265475566,"13.56":4.4284647657,"13.57":5.2449042629,"13.58":6.0894266767,"13.59":6.9559377263,"13.6":7.8379114236,"13.61":8.6195019049,"13.620000000000001":9.4038101643,"13.63":10.0807814028,"13.64":10.6202384323,"13.65":10.9961106286,"13.66":11.1957476921,"13.67":11.2524157205,"13.68":11.1502395236,"13.69":10.9127545716,"13.700000000000001":10.5565708015,"13.71":10.0915867032,"13.72":9.5395027416,"13.73":8.9282375862,"13.74":8.2861145939,"13.75":7.645201411,"13.76":7.037409911,"13.77":6.4702048781,"13.780000000000001":5.9511361911,"13.790000000000001":5.4873587824,"13.8":5.0854694628,"13.81":4.7513451536,"13.82":4.489987134,"13.83":4.3053761954,"13.84":4.1954230292,"13.85":4.182357873,"13.86":4.2547204813,"13.870000000000001":4.3978298968,"13.88":4.6060222553,"13.89":4.8775494548,"13.9":5.233635665,"13.91":5.6529195218,"13.92":6.1263451346,"13.93":6.64741757,"13.94":7.2048648378,"13.950000000000001":7.7847190459,"13.96":8.3734170279,"13.97":8.9377769055,"13.98":9.4420162264,"13.99":9.8572689565,"14.0":10.1581989101,"14.01":10.325645142,"14.02":10.3388339836,"14.030000000000001":10.2044690693,"14.040000000000001":9.9188495927,"14.05":9.6033173188,"14.06":9.1875778346,"14.07":8.6566924568,"14.08":8.0212364036,"14.09":7.3405926664,"14.1":6.5894017121,"14.11":5.9401047433,"14.120000000000001":5.2284262528,"14.13":4.4905652938,"14.14":3.7063027875,"14.15":2.820683311,"14.16":2.0361575163,"14.17":1.4044710385,"14.18":0.8525302677,"14.19":0.3838839199,"14.200000000000001":0.2534507002,"14.21":0.2309111243,"14.22":0.2091944681,"14.23":0.1912286726,"14.24":0.1789832432,"14.25":0.170099125,"14.26":0.1637636718,"14.27":0.1575091472,"14.280000000000001":0.1411496311,"14.290000000000001":0.5593451673,"14.3":1.1183001573,"14.31":1.7458936039,"14.32":2.4325005335,"14.33":3.1678415783,"14.34":3.7389967425,"14.35":4.3161103604,"14.36":4.9266182293,"14.370000000000001":5.5418400987,"14.38":6.1537106818,"14.39":6.7543083056,"14.4":7.3367610955,"14.41":7.8963898903,"14.42":8.4564362809,"14.43":8.9775898889,"14.44":9.4560555106,"14.450000000000001":9.8877429127,"14.46":10.2621018523,"14.47":10.5935790414,"14.48":10.9026711726,"14.49":11.1481818544,"14.5":11.3432665699,"14.51":11.4904281731,"14.52":11.592816827,"14.530000000000001":11.6615097997,"14.540000000000001":11.7308044797,"14.55":11.764667418,"14.56":11.7686029521,"14.57":11.74783354,"14.58":11.7071500227,"14.59":11.6613561921,"14.6":11.6218693515,"14.61":11.572808582,"14.620000000000001":11.4913833508,"14.63":11.3878166324,"14.64":11.3019093258,"14.65":11.2050596004,"14.66":11.0943878912,"14.67":10.9712152106,"14.68":10.8301767127,"14.69":10.6563031929,"14.700000000000001":10.443507057,"14.71":10.186987353,"14.72":9.8996247934,"14.73":9.5651424824,"14.74":9.21907754,"14.75":8.8357890618,"14.76":8.4710166473,"14.77":8.08143616,"14.780000000000001":7.6919551405,"14.790000000000001":7.3653795783,"14.8":7.0139772339,"14.81":6.7237639753,"14.82":6.5537815197,"14.83":6.339144824,"14.84":6.109873859,"14.85":5.8599340415,"14.86":5.4860801146,"14.870000000000001":5.1203416004,"14.88":4.7527946807,"14.89":4.3884346797,"14.9":4.029362542,"14.91":3.6639112193,"14.92":3.3155773298,"14.93":2.9905295566,"14.94":2.6948573188,"14.950000000000001":2.4343866132,"14.96":2.2144955609,"14.97":2.0399362204,"14.98":1.9146693108,"14.99":1.841718297,"15.0":1.8230488295},"2":{"5.0":63.2050974379,"5.01":63.6657875368,"5.0200000000000005":64.075392649,"5.03":64.3952112041,"5.04":64.5978479757,"5.05":64.6668368462,"5.0600000000000005":64.5958386378,"5.07":64.3874870427,"5.08":64.0519696526,"5.09":63.6070115322,"5.1000000000000005":63.0717044671,"5.11":62.4712713606,"5.12":61.8297775036,"5.13":61.1733517497,"5.14":60.535450119,"5.15":59.9503109017,"5.16":59.4946806471,"5.17":58.5822282633,"5.18":55.9176114425,"5.19":53.4835693654,"5.2":51.0406449471,"5.21":48.3003148978,"5.22":45.0298117845,"5.23":41.0877758602,"5.24":36.3495367158,"5.25":30.7205655932,"5.26":24.739439492,"5.2700000000000005":18.6727660254,"5.28":12.9060018005,"5.29":8.0250616168,"5.3":3.4187243866,"5.3100000000000005":0.1075126975,"5.32":0.0,"5.33":0.0,"5.34":0.0,"5.3500000000000005":0.0,"5.36":0.0,"5.37":0.0,"5.38":0.0,"5.39":0.0,"5.4":0.0,"5.41":0.0,"5.42":0.0,"5.43":0.0,"5.44":0.0,"5.45":0.0,"5.46":0.0,"5.47":0.0,"5.48":0.0,"5.49":0.0,"5.5":0.0,"5.51":0.0,"5.5200000000000005":0.0,"5.53":0.0,"5.54":0.0,"5.55":0.0,"5.5600000000000005":0.0,"5.57":0.0,"5.58":0.0,"5.59":0.0,"5.6000000000000005":0.0,"5.61":0.0,"5.62":0.0,"5.63":0.0,"5.64":0.0,"5.65":0.0,"5.66":0.0,"5.67":0.0,"5.68":0.0,"5.69":0.0,"5.7":0.0,"5.71":0.0,"5.72":0.0,"5.73":0.0,"5.74":0.1512074284,"5.75":1.289558984,"5.76":3.4713745601,"5.7700000000000005":6.7069272957,"5.78":10.8664155614,"5.79":16.5194692628,"5.8":22.3387077266,"5.8100000000000005":28.7579572324,"5.82":35.1375191998,"5.83":40.9358489818,"5.84":46.5987107514,"5.8500000000000005":52.0790725544,"5.86":57.4298623107,"5.87":62.9320376102,"5.88":68.8780039357,"5.89":75.263059517,"5.9":81.7815098325,"5.91":88.4070211233,"5.92":95.1036647995,"5.93":101.8162666722,"5.94":108.7086814102,"5.95":115.229224041,"5.96":120.9129870838,"5.97":126.4267773967,"5.98":131.6358893502,"5.99":136.4248975009,"6.0":140.8792178592,"6.01":144.7620695679,"6.0200000000000005":147.9925604574,"6.03":150.531196092,"6.04":152.6444312525,"6.05":152.8003642524,"6.0600000000000005":151.6066364813,"6.07":148.4534051833,"6.08":143.3873946762,"6.09":137.563173962,"6.1000000000000005":131.0427173194,"6.11":123.9097590418,"6.12":116.2583805479,"6.13":108.1908150365,"6.140000000000001":99.8152114278,"6.15":91.2434192674,"6.16":82.588848563,"6.17":73.9644493558,"6.18":65.4808457686,"6.19":57.2446489109,"6.2":49.3569629108,"6.21":41.9120890189,"6.22":34.996424624,"6.23":28.6875474953,"6.24":23.0534708626,"6.25":18.1520521783,"6.26":14.0305375897,"6.2700000000000005":10.7254301965,"6.28":8.2713510089,"6.29":6.6580112606,"6.3":5.9787316636,"6.3100000000000005":6.0245954305,"6.32":6.7214091696,"6.33":7.9733285087,"6.34":9.7039297615,"6.3500000000000005":11.8104310203,"6.36":14.455094301,"6.37":17.1770706262,"6.38":19.5074125923,"6.390000000000001":21.337336919,"6.4":22.8914003172,"6.41":24.5847875357,"6.42":26.5034170722,"6.43":28.4535574335,"6.44":30.3559657777,"6.45":32.3994382126,"6.46":34.4568582405,"6.47":36.491113147,"6.48":38.4650726317,"6.49":40.3419706186,"6.5":42.0799533787,"6.51":43.6480659776,"6.5200000000000005":45.0231418811,"6.53":46.1785057665,"6.54":47.0925933282,"6.55":47.7499324494,"6.5600000000000005":48.1419709265,"6.57":48.2676858643,"6.58":48.1339183747,"6.59":47.7553895714,"6.6000000000000005":47.154369482,"6.61":46.3588435012,"6.62":45.4055744738,"6.63":44.3354295833,"6.640000000000001":43.1869388101,"6.65":42.0050052466,"6.66":40.8319624505,"6.67":39.7072136582,"6.68":38.6653091659,"6.69":37.734187386,"6.7":36.9336745388,"6.71":36.2743288226,"6.72":35.7567009076,"6.73":35.3710643131,"6.74":35.0976474856,"6.75":34.9732890149,"6.76":34.8957583205,"6.7700000000000005":34.8140028116,"6.78":34.6740536919,"6.79":34.4198864608,"6.8":33.9961813615,"6.8100000000000005":33.3511526786,"6.82":32.4393126041,"6.83":31.2240343916,"6.84":29.7214611748,"6.8500000000000005":28.0351743184,"6.86":26.092867452,"6.87":24.1782777889,"6.88":22.1627684307,"6.890000000000001":20.1173821508,"6.9":18.1626570128,"6.91":16.3300569931,"6.92":14.3867308092,"6.93":12.6427398746,"6.94":11.1292548169,"6.95":9.6738176972,"6.96":8.2858865589,"6.97":7.1471534632,"6.98":6.0377112385,"6.99":4.9093425281,"7.0":3.6404047265,"7.01":2.1281437542,"7.0200000000000005":0.8914897748,"7.03":0.1860028845,"7.04":0.0,"7.05":0.0,"7.0600000000000005":0.0,"7.07":0.0,"7.08":0.1009775814,"7.09":0.7063254676,"7.1000000000000005":1.8345054408,"7.11":3.4094718656,"7.12":5.2992973676,"7.13":7.3379173532,"7.140000000000001":9.2759619103,"7.15":10.8337436831,"7.16":11.9208101454,"7.17":12.4377084647,"7.18":12.3831741404,"7.19":12.0308228783,"7.2":11.1898673043,"7.21":10.2183944423,"7.22":9.2072050578,"7.23":7.8896157574,"7.24":6.5496836923,"7.25":5.3506545772,"7.26":4.3341028941,"7.2700000000000005":3.3356486834,"7.28":2.5050374388,"7.29":1.8341805932,"7.3":1.3678812878,"7.3100000000000005":1.1235150079,"7.32":1.0155004055,"7.33":1.0730422013,"7.34":1.3204104261,"7.3500000000000005":1.8064952697,"7.36":2.6138888398,"7.37":3.8296121427,"7.38":5.5514097611,"7.390000000000001":7.8226323721,"7.4":10.6382310171,"7.41":13.978158339,"7.42":17.7713103335,"7.43":21.7861912397,"7.44":25.7814487198,"7.45":29.5874359037,"7.46":32.7564135035,"7.47":35.5613437288,"7.48":37.7063765025,"7.49":39.1431334774,"7.5":39.8632122305,"7.51":39.836309295,"7.5200000000000005":39.4245741189,"7.53":38.4338781553,"7.54":36.5988434523,"7.55":33.9674126615,"7.5600000000000005":30.7779688256,"7.57":27.1075729362,"7.58":23.1323770814,"7.59":18.7455251369,"7.6000000000000005":14.5486858416,"7.61":10.9194087281,"7.62":7.4958266343,"7.63":4.3239522453,"7.640000000000001":1.5921749316,"7.65":0.0,"7.66":0.0,"7.67":0.0,"7.68":0.0,"7.69":0.0,"7.7":0.0,"7.71":0.0,"7.72":0.0,"7.73":0.0,"7.74":0.0,"7.75":0.0,"7.76":0.0,"7.7700000000000005":0.0,"7.78":0.0,"7.79":0.0,"7.8":0.0,"7.8100000000000005":0.0,"7.82":0.0,"7.83":2.6204788313,"7.84":6.8546159543,"7.8500000000000005":11.687393436,"7.86":16.8180116479,"7.87":22.2126474788,"7.88":27.8494977699,"7.890000000000001":33.7056841793,"7.9":39.7567506332,"7.91":45.9761721996,"7.92":52.3349056542,"7.930000000000001":58.801009135,"7.94":65.3393542179,"7.95":71.91144875,"7.96":78.4753831346,"7.97":84.985906792,"7.98":91.3946355512,"7.99":97.6503850665,"8.0":103.6996202948,"8.01":109.4889703581,"8.02":114.9629796378,"8.03":119.8929962903,"8.040000000000001":122.3594784582,"8.05":124.8215182695,"8.06":127.0641826422,"8.07":128.8498729579,"8.08":130.1152412858,"8.09":130.7952693862,"8.1":130.8474020107,"8.11":130.2425409305,"8.120000000000001":128.979931736,"8.13":127.0653158122,"8.14":124.5179169082,"8.15":121.4441911418,"8.16":117.9377620921,"8.17":111.5564689798,"8.18":104.3524237596,"8.19":96.3848278652,"8.2":87.5370163721,"8.21":78.0847739871,"8.22":68.1364232197,"8.23":57.8020854946,"8.24":47.2205497342,"8.25":36.9401729703,"8.26":27.5675296029,"8.27":19.5479186047,"8.28":12.8432580213,"8.290000000000001":7.4688658386,"8.3":3.5091504421,"8.31":1.0056452701,"8.32":0.0031661601,"8.33":0.0,"8.34":0.0,"8.35":0.0,"8.36":0.0,"8.370000000000001":0.0,"8.38":0.0,"8.39":0.0,"8.4":0.0,"8.41":0.0,"8.42":0.0,"8.43":0.0,"8.44":0.0,"8.45":0.0,"8.46":0.0,"8.47":0.0,"8.48":0.0,"8.49":0.3732118618,"8.5":1.4254515605,"8.51":3.1099104592,"8.52":5.435511282,"8.53":8.4404622528,"8.540000000000001":12.1291945204,"8.55":16.4962104643,"8.56":22.3304323996,"8.57":28.9279511724,"8.58":35.3673269876,"8.59":40.9013642212,"8.6":45.3451920469,"8.61":48.9995229648,"8.620000000000001":52.0005631486,"8.63":54.4026364003,"8.64":56.2343556969,"8.65":57.5322786188,"8.66":58.3243263922,"8.67":58.6436865785,"8.68":58.5299380652,"8.69":58.0203910379,"8.700000000000001":57.1577402158,"8.71":55.9768498304,"8.72":54.5152394408,"8.73":52.8096187759,"8.74":50.8991544495,"8.75":48.823675048,"8.76":46.6170631029,"8.77":44.3017152366,"8.78":41.8945617656,"8.790000000000001":39.3125909414,"8.8":36.0828123945,"8.81":32.3732117009,"8.82":28.8966444315,"8.83":25.6914828537,"8.84":22.9787750334,"8.85":21.2315619652,"8.86":19.9400184467,"8.870000000000001":18.8401934699,"8.88":17.9641505015,"8.89":17.2384172867,"8.9":16.5175767356,"8.91":16.025450623,"8.92":15.7507789374,"8.93":15.4918234702,"8.94":15.2199893017,"8.950000000000001":15.139230337,"8.96":15.0888217049,"8.97":15.0696745922,"8.98":14.949137426,"8.99":14.7670434338,"9.0":14.4749212395,"9.01":14.0361544282,"9.02":13.6169129518,"9.03":13.3542582411,"9.040000000000001":13.3060312445,"9.05":13.5038428642,"9.06":14.3226113692,"9.07":15.4366202844,"9.08":16.7751164243,"9.09":18.2753035889,"9.1":19.9985465592,"9.11":22.0116862207,"9.120000000000001":24.2663017034,"9.13":26.7089991466,"9.14":29.2826880443,"9.15":31.9280116521,"9.16":34.5664500927,"9.17":37.046997808,"9.18":39.4248343687,"9.19":41.6958078098,"9.200000000000001":43.8132373512,"9.21":45.7331301301,"9.22":47.4056428128,"9.23":48.7891065799,"9.24":49.8325406534,"9.25":50.4556310945,"9.26":50.6579752846,"9.27":50.4821839863,"9.28":49.92769564,"9.290000000000001":48.9985100768,"9.3":47.7026197449,"9.31":46.0515240954,"9.32":44.0598747841,"9.33":41.745287907,"9.34":39.1283453652,"9.35":36.2327914877,"9.36":33.0859141814,"9.370000000000001":29.7190831501,"9.38":26.1617853038,"9.39":22.3592511109,"9.4":18.3803238982,"9.41":14.3366905441,"9.42":10.5845282224,"9.43":7.3904096595,"9.44":4.4494100871,"9.450000000000001":1.9638088865,"9.46":0.3282991521,"9.47":0.0,"9.48":0.0,"9.49":0.0,"9.5":0.0,"9.51":0.0,"9.52":0.0,"9.53":0.0,"9.540000000000001":0.7899518395,"9.55":3.0400641406,"9.56":6.3869482005,"9.57":10.6296902823,"9.58":15.7072125659,"9.59":21.940611929,"9.6":29.6470976581,"9.61":37.3969338794,"9.620000000000001":45.6651339397,"9.63":53.9294975482,"9.64":62.0638449325,"9.65":70.0032008556,"9.66":77.9403392144,"9.67":85.7006378498,"9.68":93.5801318858,"9.69":100.9946122294,"9.700000000000001":107.4840565504,"9.71":110.1410197062,"9.72":112.7904351859,"9.73":114.8902077752,"9.74":116.3421923725,"9.75":117.1072804594,"9.76":117.1599596637,"9.77":116.4856647506,"9.78":115.0924833475,"9.790000000000001":113.0015707742,"9.8":110.2470633129,"9.81":106.8759923882,"9.82":102.9457507589,"9.83":98.5226649443,"9.84":93.681260995,"9.85":88.5041452854,"9.86":83.0857937036,"9.870000000000001":76.8068242604,"9.88":67.8017796445,"9.89":58.6431948249,"9.9":49.7699653986,"9.91":41.514736857,"9.92":34.1613871261,"9.93":27.5793511071,"9.94":21.9590763825,"9.950000000000001":17.140276633,"9.96":13.1736538557,"9.97":9.9754324252,"9.98":7.4676497306,"9.99":5.5936283448,"10.0":4.2129927511,"12.0":84.4589020773,"12.01":82.1046433097,"12.02":79.0398451328,"12.030000000000001":74.7347312255,"12.040000000000001":68.7622578929,"12.05":62.5050757189,"12.06":56.1987377351,"12.07":50.0283742642,"12.08":44.0044578735,"12.09":38.1379849696,"12.1":32.4424400896,"12.11":26.9328933818,"12.120000000000001":21.6250245116,"12.13":16.5341474679,"12.14":11.6770239903,"12.15":7.0753881949,"12.16":3.0955989679,"12.17":0.0168469736,"12.18":0.0,"12.19":0.0,"12.200000000000001":0.0,"12.21":0.0,"12.22":0.0,"12.23":0.0,"12.24":0.0,"12.25":0.0,"12.26":0.0,"12.27":0.0,"12.280000000000001":0.0,"12.290000000000001":0.0,"12.3":0.0,"12.31":0.0,"12.32":0.0,"12.33":0.0,"12.34":0.0,"12.35":0.0,"12.36":0.0,"12.370000000000001":0.0,"12.38":0.0,"12.39":0.0,"12.4":0.0,"12.41":0.0,"12.42":0.4323490761,"12.43":2.1709834712,"12.44":4.0377427428,"12.450000000000001":6.1613909747,"12.46":8.5516719958,"12.47":11.338442572,"12.48":14.2681364874,"12.49":17.5841174224,"12.5":21.221763703,"12.51":25.005271475,"12.52":28.872421161,"12.530000000000001":32.8826708074,"12.540000000000001":37.034182786,"12.55":41.0473605489,"12.56":45.1895603683,"12.57":49.1589194694,"12.58":52.8489506026,"12.59":56.2535058108,"12.6":59.6020418746,"12.61":62.7209188111,"12.620000000000001":65.4251548483,"12.63":67.7003561261,"12.64":69.5361500829,"12.65":70.9258829414,"12.66":71.8663513221,"12.67":72.3575870011,"12.68":72.4027069837,"12.69":72.2372129469,"12.700000000000001":71.7229530238,"12.71":70.819714978,"12.72":69.5371858376,"12.73":67.8864168107,"12.74":65.8866562543,"12.75":63.5556584858,"12.76":61.2397128997,"12.77":58.7036542728,"12.780000000000001":55.9206870049,"12.790000000000001":52.7820300428,"12.8":49.0305663845,"12.81":44.966622282,"12.82":40.559943441,"12.83":35.7989310834,"12.84":30.9032753524,"12.85":26.0448422594,"12.86":21.2796403703,"12.870000000000001":17.0846975793,"12.88":13.8318362643,"12.89":11.025944544,"12.9":8.675551142,"12.91":6.8016747357,"12.92":5.3601466288,"12.93":4.3274492127,"12.94":3.6728055609,"12.950000000000001":3.319781798,"12.96":3.2167497851,"12.97":3.3185327007,"12.98":3.5660538442,"12.99":3.9160280594,"13.0":4.2754572055,"13.01":4.6171400855,"13.02":4.9356770578,"13.030000000000001":5.2087863831,"13.040000000000001":5.4623241017,"13.05":5.695617897,"13.06":5.974302887,"13.07":6.2447514176,"13.08":6.517507818,"13.09":6.8413604059,"13.1":7.2194895018,"13.11":7.6564452287,"13.120000000000001":8.1929914528,"13.13":8.8068144472,"13.14":9.5217546217,"13.15":10.3057877908,"13.16":11.1873443613,"13.17":12.2465649327,"13.18":13.4734694388,"13.19":14.8932904332,"13.200000000000001":16.5519906472,"13.21":18.4387329942,"13.22":20.5732459798,"13.23":22.9744289885,"13.24":25.6945891191,"13.25":28.6978602533,"13.26":31.9041559614,"13.27":35.4539558578,"13.280000000000001":39.0901263818,"13.290000000000001":42.8754951663,"13.3":46.9032265693,"13.31":50.8900361789,"13.32":54.7953954295,"13.33":58.5639226504,"13.34":62.4001474016,"13.35":66.2483487455,"13.36":69.8366496646,"13.370000000000001":73.1268272513,"13.38":75.0650400542,"13.39":76.3122392091,"13.4":77.4155913333,"13.41":78.3421772038,"13.42":79.0786880115,"13.43":79.6183651708,"13.44":79.9570109342,"13.450000000000001":80.0927730144,"13.46":80.0253832794,"13.47":79.7580905139,"13.48":79.2958857103,"13.49":78.6563924663,"13.5":77.9349537284,"13.51":75.809708845,"13.52":72.789363006,"13.530000000000001":69.6260813878,"13.540000000000001":66.1288034334,"13.55":62.3186787849,"13.56":58.4382030936,"13.57":54.3573777234,"13.58":50.0541064563,"13.59":45.5520834722,"13.6":40.8762029428,"13.61":36.3231348996,"13.620000000000001":31.6621988272,"13.63":27.1496922814,"13.64":22.8722282458,"13.65":18.914165972,"13.66":15.33442396,"13.67":12.0777325218,"13.68":9.2214056504,"13.69":6.7418744035,"13.700000000000001":4.6485961108,"13.71":2.959066008,"13.72":1.667195937,"13.73":0.7563795262,"13.74":0.2081896141,"13.75":0.0,"13.76":0.0,"13.77":0.0,"13.780000000000001":0.0,"13.790000000000001":0.0,"13.8":0.0,"13.81":0.0,"13.82":0.0,"13.83":0.0,"13.84":0.0,"13.85":0.0,"13.86":0.0,"13.870000000000001":0.0,"13.88":0.0,"13.89":0.0,"13.9":0.0,"13.91":0.0,"13.92":0.0,"13.93":0.0,"13.94":0.0,"13.950000000000001":0.0,"13.96":0.268017009,"13.97":0.9330576924,"13.98":2.0055012188,"13.99":3.4816127399,"14.0":5.3555418097,"14.01":7.6119836603,"14.02":10.2508710674,"14.030000000000001":13.2012751376,"14.040000000000001":16.4367346928,"14.05":19.6789849077,"14.06":23.0424865863,"14.07":26.5381156766,"14.08":30.1273828525,"14.09":33.661626076,"14.1":37.2051596298,"14.11":40.3909809291,"14.120000000000001":43.5822869105,"14.13":46.6913881856,"14.14":49.7686183475,"14.15":52.9471190495,"14.16":55.7829826865,"14.17":58.1757268975,"14.18":60.2859215097,"14.19":62.1124771054,"14.200000000000001":63.0473023625,"14.21":63.6666805102,"14.22":64.2106105982,"14.23":64.6690524994,"14.24":65.035245932,"14.25":65.3139145808,"14.26":65.5061017392,"14.27":65.6195472577,"14.280000000000001":65.697588651,"14.290000000000001":64.6581850448,"14.3":63.2048142193,"14.31":61.4984793694,"14.32":59.5612586327,"14.33":57.4185178061,"14.34":55.5547723085,"14.35":53.6119134962,"14.36":51.539707822,"14.370000000000001":49.3904354611,"14.38":47.1946958719,"14.39":44.984456058,"14.4":42.7915637399,"14.41":40.6459316926,"14.42":38.5454629865,"14.43":36.5593408829,"14.44":34.7149057428,"14.450000000000001":33.0381624785,"14.46":31.569990946,"14.47":30.2946566325,"14.48":29.1898190835,"14.49":28.3451880105,"14.5":27.7391729601,"14.51":27.3720349391,"14.52":27.2396236744,"14.530000000000001":27.3176414294,"14.540000000000001":27.5287413513,"14.55":27.9440288864,"14.56":28.5424145322,"14.57":29.3008999776,"14.58":30.1952217756,"14.59":31.1775696299,"14.6":32.2062442298,"14.61":33.297456134,"14.620000000000001":34.4844244508,"14.63":35.7255059494,"14.64":36.91450241,"14.65":38.09666197,"14.66":39.2624308269,"14.67":40.3947863214,"14.68":41.4934783813,"14.69":42.5817250979,"14.700000000000001":43.6658592563,"14.71":44.7521486501,"14.72":45.8108807393,"14.73":46.879164012,"14.74":47.8835616112,"14.75":48.8867686094,"14.76":49.7774031582,"14.77":50.6601944587,"14.780000000000001":51.4942298536,"14.790000000000001":52.1580071305,"14.8":52.8547393536,"14.81":53.4159220315,"14.82":53.7300823744,"14.83":54.1661194674,"14.84":54.6670539068,"14.85":55.2564278697,"14.86":56.196115285,"14.870000000000001":57.1876481115,"14.88":58.2398330086,"14.89":59.3410504521,"14.9":60.482788655,"14.91":61.6855309948,"14.92":62.8877085357,"14.93":64.064600864,"14.94":65.1897926897,"14.950000000000001":66.2360293892,"14.96":67.1761323007,"14.97":67.9839408177,"14.98":68.6352461558,"14.99":69.1086808954,"15.0":69.3865291293},"3":{"5.0":5.8518417245,"5.01":5.8518417245,"5.0200000000000005":5.8518417245,"5.03":5.8518417245,"5.04":5.8518417245,"5.05":5.8518417245,"5.0600000000000005":5.8518417245,"5.07":5.8518417245,"5.08":5.8518417245,"5.09":5.8518417245,"5.1000000000000005":5.8518417245,"5.11":5.8518417245,"5.12":5.8518417245,"5.13":5.8518417245,"5.14":5.8518417245,"5.15":5.8518417245,"5.16":5.8518417245,"5.17":5.8518417245,"5.18":5.8518417245,"5.19":5.8518417245,"5.2":5.8518417245,"5.21":5.8518417245,"5.22":5.8518417245,"5.23":5.8518417245,"5.24":5.8518417245,"5.25":5.8518417245,"5.26":5.8518417245,"5.2700000000000005":5.8518417245,"5.28":5.8518417245,"5.29":5.8518417245,"5.3":5.8518417245,"5.3100000000000005":5.8518417245,"5.32":5.8518417245,"5.33":5.8518417245,"5.34":5.8518417245,"5.3500000000000005":5.8518417245,"5.36":5.8518417245,"5.37":5.8518417245,"5.38":5.8518417245,"5.39":5.8518417245,"5.4":5.8518417245,"5.41":5.8518417245,"5.42":5.8518417245,"5.43":5.8518417245,"5.44":5.8518417245,"5.45":5.8518417245,"5.46":5.8518417245,"5.47":5.8518417245,"5.48":5.8518417245,"5.49":5.8518417245,"5.5":5.8518417245,"5.51":5.8518417245,"5.5200000000000005":5.8518417245,"5.53":5.8518417245,"5.54":5.8518417245,"5.55":5.8518417245,"5.5600000000000005":5.8518417245,"5.57":5.8518417245,"5.58":5.8518417245,"5.59":5.8518417245,"5.6000000000000005":5.8518417245,"5.61":5.8518417245,"5.62":5.8518417245,"5.63":5.8518417245,"5.64":5.8518417245,"5.65":5.8518417245,"5.66":5.8518417245,"5.67":5.8518417245,"5.68":5.8518417245,"5.69":5.8518417245,"5.7":5.8518417245,"5.71":5.8518417245,"5.72":5.8518417245,"5.73":5.8518417245,"5.74":5.8518417245,"5.75":5.8518417245,"5.76":5.8518417245,"5.7700000000000005":5.8518417245,"5.78":5.8518417245,"5.79":5.8518417245,"5.8":5.8518417245,"5.8100000000000005":5.8518417245,"5.82":5.8518417245,"5.83":5.8518417245,"5.84":5.8518417245,"5.8500000000000005":5.8518417245,"5.86":5.8518417245,"5.87":5.8518417245,"5.88":5.8518417245,"5.89":5.8518417245,"5.9":5.8518417245,"5.91":5.8518417245,"5.92":5.8518417245,"5.93":5.8518417245,"5.94":5.8518417245,"5.95":5.8518417245,"5.96":5.8518417245,"5.97":5.8518417245,"5.98":5.8518417245,"5.99":5.8518417245,"6.0":5.8518417245,"6.01":5.8518417245,"6.0200000000000005":5.8518417245,"6.03":5.8518417245,"6.04":5.8518417245,"6.05":5.8518417245,"6.0600000000000005":5.8518417245,"6.07":5.8518417245,"6.08":5.8518417245,"6.09":5.8518417245,"6.1000000000000005":5.8518417245,"6.11":5.8518417245,"6.12":5.8518417245,"6.13":5.8518417245,"6.140000000000001":5.8518417245,"6.15":5.8518417245,"6.16":5.8518417245,"6.17":5.8518417245,"6.18":5.8518417245,"6.19":5.8518417245,"6.2":5.8518417245,"6.21":5.8518417245,"6.22":5.8518417245,"6.23":5.8518417245,"6.24":5.8518417245,"6.25":5.8518417245,"6.26":5.8518417245,"6.2700000000000005":5.8518417245,"6.28":5.8518417245,"6.29":5.8518417245,"6.3":5.8518417245,"6.3100000000000005":5.8518417245,"6.32":5.8518417245,"6.33":5.8518417245,"6.34":5.8518417245,"6.3500000000000005":5.8518417245,"6.36":5.8518417245,"6.37":5.8518417245,"6.38":5.8518417245,"6.390000000000001":5.8518417245,"6.4":5.8518417245,"6.41":5.8518417245,"6.42":5.8518417245,"6.43":5.8518417245,"6.44":5.8518417245,"6.45":5.8518417245,"6.46":5.8518417245,"6.47":5.8518417245,"6.48":5.8518417245,"6.49":5.8518417245,"6.5":5.8518417245,"6.51":5.8518417245,"6.5200000000000005":5.8518417245,"6.53":5.8518417245,"6.54":5.8518417245,"6.55":5.8518417245,"6.5600000000000005":5.8518417245,"6.57":5.8518417245,"6.58":5.8518417245,"6.59":5.8518417245,"6.6000000000000005":5.8518417245,"6.61":5.8518417245,"6.62":5.8518417245,"6.63":5.8518417245,"6.640000000000001":5.8518417245,"6.65":5.8518417245,"6.66":5.8518417245,"6.67":5.8518417245,"6.68":5.8518417245,"6.69":5.8518417245,"6.7":5.8518417245,"6.71":5.8518417245,"6.72":5.8518417245,"6.73":5.8518417245,"6.74":5.8518417245,"6.75":5.8518417245,"6.76":5.8518417245,"6.7700000000000005":5.8518417245,"6.78":5.8518417245,"6.79":5.8518417245,"6.8":5.8518417245,"6.8100000000000005":5.8518417245,"6.82":5.8518417245,"6.83":5.8518417245,"6.84":5.8518417245,"6.8500000000000005":5.8518417245,"6.86":5.8518417245,"6.87":5.8518417245,"6.88":5.8518417245,"6.890000000000001":5.8518417245,"6.9":5.8518417245,"6.91":5.8518417245,"6.92":5.8518417245,"6.93":5.8518417245,"6.94":5.8518417245,"6.95":5.8518417245,"6.96":5.8518417245,"6.97":5.8518417245,"6.98":5.8518417245,"6.99":5.8518417245,"7.0":5.8518417245,"7.01":5.8518417245,"7.0200000000000005":5.8518417245,"7.03":5.8518417245,"7.04":5.8518417245,"7.05":5.8518417245,"7.0600000000000005":5.8518417245,"7.07":5.8518417245,"7.08":5.8518417245,"7.09":5.8518417245,"7.1000000000000005":5.8518417245,"7.11":5.8518417245,"7.12":5.8518417245,"7.13":5.8518417245,"7.140000000000001":5.8518417245,"7.15":5.8518417245,"7.16":5.8518417245,"7.17":5.8518417245,"7.18":5.8518417245,"7.19":5.8518417245,"7.2":5.8518417245,"7.21":5.8518417245,"7.22":5.8518417245,"7.23":5.8518417245,"7.24":5.8518417245,"7.25":5.8518417245,"7.26":5.8518417245,"7.2700000000000005":5.8518417245,"7.28":5.8518417245,"7.29":5.8518417245,"7.3":5.8518417245,"7.3100000000000005":5.8518417245,"7.32":5.8518417245,"7.33":5.8518417245,"7.34":5.8518417245,"7.3500000000000005":5.8518417245,"7.36":5.8518417245,"7.37":5.8518417245,"7.38":5.8518417245,"7.390000000000001":5.8518417245,"7.4":5.8518417245,"7.41":5.8518417245,"7.42":5.8518417245,"7.43":5.8518417245,"7.44":5.8518417245,"7.45":5.8518417245,"7.46":5.8518417245,"7.47":5.8518417245,"7.48":5.8518417245,"7.49":5.8518417245,"7.5":5.8518417245,"7.51":5.8518417245,"7.5200000000000005":5.8518417245,"7.53":5.8518417245,"7.54":5.8518417245,"7.55":5.8518417245,"7.5600000000000005":5.8518417245,"7.57":5.8518417245,"7.58":5.8518417245,"7.59":5.8518417245,"7.6000000000000005":5.8518417245,"7.61":5.8518417245,"7.62":5.8518417245,"7.63":5.8518417245,"7.640000000000001":5.8518417245,"7.65":5.8518417245,"7.66":5.8518417245,"7.67":5.8518417245,"7.68":5.8518417245,"7.69":5.8518417245,"7.7":5.8518417245,"7.71":5.8518417245,"7.72":5.8518417245,"7.73":5.8518417245,"7.74":5.8518417245,"7.75":5.8518417245,"7.76":5.8518417245,"7.7700000000000005":5.8518417245,"7.78":5.8518417245,"7.79":5.8518417245,"7.8":5.8518417245,"7.8100000000000005":5.8518417245,"7.82":5.8518417245,"7.83":5.8518417245,"7.84":5.8518417245,"7.8500000000000005":5.8518417245,"7.86":5.8518417245,"7.87":5.8518417245,"7.88":5.8518417245,"7.890000000000001":5.8518417245,"7.9":5.8518417245,"7.91":5.8518417245,"7.92":5.8518417245,"7.930000000000001":5.8518417245,"7.94":5.8518417245,"7.95":5.8518417245,"7.96":5.8518417245,"7.97":5.8518417245,"7.98":5.8518417245,"7.99":5.8518417245,"8.0":5.8518417245,"8.01":5.8518417245,"8.02":5.8518417245,"8.03":5.8518417245,"8.040000000000001":5.8518417245,"8.05":5.8518417245,"8.06":5.8518417245,"8.07":5.8518417245,"8.08":5.8518417245,"8.09":5.8518417245,"8.1":5.8518417245,"8.11":5.8518417245,"8.120000000000001":5.8518417245,"8.13":5.8518417245,"8.14":5.8518417245,"8.15":5.8518417245,"8.16":5.8518417245,"8.17":5.8518417245,"8.18":5.8518417245,"8.19":5.8518417245,"8.2":5.8518417245,"8.21":5.8518417245,"8.22":5.8518417245,"8.23":5.8518417245,"8.24":5.8518417245,"8.25":5.8518417245,"8.26":5.8518417245,"8.27":5.8518417245,"8.28":5.8518417245,"8.290000000000001":5.8518417245,"8.3":5.8518417245,"8.31":5.8518417245,"8.32":5.8518417245,"8.33":5.8518417245,"8.34":5.8518417245,"8.35":5.8518417245,"8.36":5.8518417245,"8.370000000000001":5.8518417245,"8.38":5.8518417245,"8.39":5.8518417245,"8.4":5.8518417245,"8.41":5.8518417245,"8.42":5.8518417245,"8.43":5.8518417245,"8.44":5.8518417245,"8.45":5.8518417245,"8.46":5.8518417245,"8.47":5.8518417245,"8.48":5.8518417245,"8.49":5.8518417245,"8.5":5.8518417245,"8.51":5.8518417245,"8.52":5.8518417245,"8.53":5.8518417245,"8.540000000000001":5.8518417245,"8.55":5.8518417245,"8.56":5.8518417245,"8.57":5.8518417245,"8.58":5.8518417245,"8.59":5.8518417245,"8.6":5.8518417245,"8.61":5.8518417245,"8.620000000000001":5.8518417245,"8.63":5.8518417245,"8.64":5.8518417245,"8.65":5.8518417245,"8.66":5.8518417245,"8.67":5.8518417245,"8.68":5.8518417245,"8.69":5.8518417245,"8.700000000000001":5.8518417245,"8.71":5.8518417245,"8.72":5.8518417245,"8.73":5.8518417245,"8.74":5.8518417245,"8.75":5.8518417245,"8.76":5.8518417245,"8.77":5.8518417245,"8.78":5.8518417245,"8.790000000000001":5.8518417245,"8.8":5.8518417245,"8.81":5.8518417245,"8.82":5.8518417245,"8.83":5.8518417245,"8.84":5.8518417245,"8.85":5.8518417245,"8.86":5.8518417245,"8.870000000000001":5.8518417245,"8.88":5.8518417245,"8.89":5.8518417245,"8.9":5.8518417245,"8.91":5.8518417245,"8.92":5.8518417245,"8.93":5.8518417245,"8.94":5.8518417245,"8.950000000000001":5.8518417245,"8.96":5.8518417245,"8.97":5.8518417245,"8.98":5.8518417245,"8.99":5.8518417245,"9.0":5.8518417245,"9.01":5.8518417245,"9.02":5.8518417245,"9.03":5.8518417245,"9.040000000000001":5.8518417245,"9.05":5.8518417245,"9.06":5.8518417245,"9.07":5.8518417245,"9.08":5.8518417245,"9.09":5.8518417245,"9.1":5.8518417245,"9.11":5.8518417245,"9.120000000000001":5.8518417245,"9.13":5.8518417245,"9.14":5.8518417245,"9.15":5.8518417245,"9.16":5.8518417245,"9.17":5.8518417245,"9.18":5.8518417245,"9.19":5.8518417245,"9.200000000000001":5.8518417245,"9.21":5.8518417245,"9.22":5.8518417245,"9.23":5.8518417245,"9.24":5.8518417245,"9.25":5.8518417245,"9.26":5.8518417245,"9.27":5.8518417245,"9.28":5.8518417245,"9.290000000000001":5.8518417245,"9.3":5.8518417245,"9.31":5.8518417245,"9.32":5.8518417245,"9.33":5.8518417245,"9.34":5.8518417245,"9.35":5.8518417245,"9.36":5.8518417245,"9.370000000000001":5.8518417245,"9.38":5.8518417245,"9.39":5.8518417245,"9.4":5.8518417245,"9.41":5.8518417245,"9.42":5.8518417245,"9.43":5.8518417245,"9.44":5.8518417245,"9.450000000000001":5.8518417245,"9.46":5.8518417245,"9.47":5.8518417245,"9.48":5.8518417245,"9.49":5.8518417245,"9.5":5.8518417245,"9.51":5.8518417245,"9.52":5.8518417245,"9.53":5.8518417245,"9.540000000000001":5.8518417245,"9.55":5.8518417245,"9.56":5.8518417245,"9.57":5.8518417245,"9.58":5.8518417245,"9.59":5.8518417245,"9.6":5.8518417245,"9.61":5.8518417245,"9.620000000000001":5.8518417245,"9.63":5.8518417245,"9.64":5.8518417245,"9.65":5.8518417245,"9.66":5.8518417245,"9.67":5.8518417245,"9.68":5.8518417245,"9.69":5.8518417245,"9.700000000000001":5.8518417245,"9.71":5.8518417245,"9.72":5.8518417245,"9.73":5.8518417245,"9.74":5.8518417245,"9.75":5.8518417245,"9.76":5.8518417245,"9.77":5.8518417245,"9.78":5.8518417245,"9.790000000000001":5.8518417245,"9.8":5.8518417245,"9.81":5.8518417245,"9.82":5.8518417245,"9.83":5.8518417245,"9.84":5.8518417245,"9.85":5.8518417245,"9.86":5.8518417245,"9.870000000000001":5.8518417245,"9.88":5.8518417245,"9.89":5.8518417245,"9.9":5.8518417245,"9.91":5.8518417245,"9.92":5.8518417245,"9.93":5.8518417245,"9.94":5.8518417245,"9.950000000000001":5.8518417245,"9.96":5.8518417245,"9.97":5.8518417245,"9.98":5.8518417245,"9.99":5.8518417245,"10.0":5.8518417245,"12.0":5.8518417245,"12.01":5.8518417245,"12.02":5.8518417245,"12.030000000000001":5.8518417245,"12.040000000000001":5.8518417245,"12.05":5.8518417245,"12.06":5.8518417245,"12.07":5.8518417245,"12.08":5.8518417245,"12.09":5.8518417245,"12.1":5.8518417245,"12.11":5.8518417245,"12.120000000000001":5.8518417245,"12.13":5.8518417245,"12.14":5.8518417245,"12.15":5.8518417245,"12.16":5.8518417245,"12.17":5.8518417245,"12.18":5.8518417245,"12.19":5.8518417245,"12.200000000000001":5.8518417245,"12.21":5.8518417245,"12.22":5.8518417245,"12.23":5.8518417245,"12.24":5.8518417245,"12.25":5.8518417245,"12.26":5.8518417245,"12.27":5.8518417245,"12.280000000000001":5.8518417245,"12.290000000000001":5.8518417245,"12.3":5.8518417245,"12.31":5.8518417245,"12.32":5.8518417245,"12.33":5.8518417245,"12.34":5.8518417245,"12.35":5.8518417245,"12.36":5.8518417245,"12.370000000000001":5.8518417245,"12.38":5.8518417245,"12.39":5.8518417245,"12.4":5.8518417245,"12.41":5.8518417245,"12.42":5.8518417245,"12.43":5.8518417245,"12.44":5.8518417245,"12.450000000000001":5.8518417245,"12.46":5.8518417245,"12.47":5.8518417245,"12.48":5.8518417245,"12.49":5.8518417245,"12.5":5.8518417245,"12.51":5.8518417245,"12.52":5.8518417245,"12.530000000000001":5.8518417245,"12.540000000000001":5.8518417245,"12.55":5.8518417245,"12.56":5.8518417245,"12.57":5.8518417245,"12.58":5.8518417245,"12.59":5.8518417245,"12.6":5.8518417245,"12.61":5.8518417245,"12.620000000000001":5.8518417245,"12.63":5.8518417245,"12.64":5.8518417245,"12.65":5.8518417245,"12.66":5.8518417245,"12.67":5.8518417245,"12.68":5.8518417245,"12.69":5.8518417245,"12.700000000000001":5.8518417245,"12.71":5.8518417245,"12.72":5.8518417245,"12.73":5.8518417245,"12.74":5.8518417245,"12.75":5.8518417245,"12.76":5.8518417245,"12.77":5.8518417245,"12.780000000000001":5.8518417245,"12.790000000000001":5.8518417245,"12.8":5.8518417245,"12.81":5.8518417245,"12.82":5.8518417245,"12.83":5.8518417245,"12.84":5.8518417245,"12.85":5.8518417245,"12.86":5.8518417245,"12.870000000000001":5.8518417245,"12.88":5.8518417245,"12.89":5.8518417245,"12.9":5.8518417245,"12.91":5.8518417245,"12.92":5.8518417245,"12.93":5.8518417245,"12.94":5.8518417245,"12.950000000000001":5.8518417245,"12.96":5.8518417245,"12.97":5.8518417245,"12.98":5.8518417245,"12.99":5.8518417245,"13.0":5.8518417245,"13.01":5.8518417245,"13.02":5.8518417245,"13.030000000000001":5.8518417245,"13.040000000000001":5.8518417245,"13.05":5.8518417245,"13.06":5.8518417245,"13.07":5.8518417245,"13.08":5.8518417245,"13.09":5.8518417245,"13.1":5.8518417245,"13.11":5.8518417245,"13.120000000000001":5.8518417245,"13.13":5.8518417245,"13.14":5.8518417245,"13.15":5.8518417245,"13.16":5.8518417245,"13.17":5.8518417245,"13.18":5.8518417245,"13.19":5.8518417245,"13.200000000000001":5.8518417245,"13.21":5.8518417245,"13.22":5.8518417245,"13.23":5.8518417245,"13.24":5.8518417245,"13.25":5.8518417245,"13.26":5.8518417245,"13.27":5.8518417245,"13.280000000000001":5.8518417245,"13.290000000000001":5.8518417245,"13.3":5.8518417245,"13.31":5.8518417245,"13.32":5.8518417245,"13.33":5.8518417245,"13.34":5.8518417245,"13.35":5.8518417245,"13.36":5.8518417245,"13.370000000000001":5.8518417245,"13.38":5.8518417245,"13.39":5.8518417245,"13.4":5.8518417245,"13.41":5.8518417245,"13.42":5.8518417245,"13.43":5.8518417245,"13.44":5.8518417245,"13.450000000000001":5.8518417245,"13.46":5.8518417245,"13.47":5.8518417245,"13.48":5.8518417245,"13.49":5.8518417245,"13.5":5.8518417245,"13.51":5.8518417245,"13.52":5.8518417245,"13.530000000000001":5.8518417245,"13.540000000000001":5.8518417245,"13.55":5.8518417245,"13.56":5.8518417245,"13.57":5.8518417245,"13.58":5.8518417245,"13.59":5.8518417245,"13.6":5.8518417245,"13.61":5.8518417245,"13.620000000000001":5.8518417245,"13.63":5.8518417245,"13.64":5.8518417245,"13.65":5.8518417245,"13.66":5.8518417245,"13.67":5.8518417245,"13.68":5.8518417245,"13.69":5.8518417245,"13.700000000000001":5.8518417245,"13.71":5.8518417245,"13.72":5.8518417245,"13.73":5.8518417245,"13.74":5.8518417245,"13.75":5.8518417245,"13.76":5.8518417245,"13.77":5.8518417245,"13.780000000000001":5.8518417245,"13.790000000000001":5.8518417245,"13.8":5.8518417245,"13.81":5.8518417245,"13.82":5.8518417245,"13.83":5.8518417245,"13.84":5.8518417245,"13.85":5.8518417245,"13.86":5.8518417245,"13.870000000000001":5.8518417245,"13.88":5.8518417245,"13.89":5.8518417245,"13.9":5.8518417245,"13.91":5.8518417245,"13.92":5.8518417245,"13.93":5.8518417245,"13.94":5.8518417245,"13.950000000000001":5.8518417245,"13.96":5.8518417245,"13.97":5.8518417245,"13.98":5.8518417245,"13.99":5.8518417245,"14.0":5.8518417245,"14.01":5.8518417245,"14.02":5.8518417245,"14.030000000000001":5.8518417245,"14.040000000000001":5.8518417245,"14.05":5.8518417245,"14.06":5.8518417245,"14.07":5.8518417245,"14.08":5.8518417245,"14.09":5.8518417245,"14.1":5.8518417245,"14.11":5.8518417245,"14.120000000000001":5.8518417245,"14.13":5.8518417245,"14.14":5.8518417245,"14.15":5.8518417245,"14.16":5.8518417245,"14.17":5.8518417245,"14.18":5.8518417245,"14.19":5.8518417245,"14.200000000000001":5.8518417245,"14.21":5.8518417245,"14.22":5.8518417245,"14.23":5.8518417245,"14.24":5.8518417245,"14.25":5.8518417245,"14.26":5.8518417245,"14.27":5.8518417245,"14.280000000000001":5.8518417245,"14.290000000000001":5.8518417245,"14.3":5.8518417245,"14.31":5.8518417245,"14.32":5.8518417245,"14.33":5.8518417245,"14.34":5.8518417245,"14.35":5.8518417245,"14.36":5.8518417245,"14.370000000000001":5.8518417245,"14.38":5.8518417245,"14.39":5.8518417245,"14.4":5.8518417245,"14.41":5.8518417245,"14.42":5.8518417245,"14.43":5.8518417245,"14.44":5.8518417245,"14.450000000000001":5.8518417245,"14.46":5.8518417245,"14.47":5.8518417245,"14.48":5.8518417245,"14.49":5.8518417245,"14.5":5.8518417245,"14.51":5.8518417245,"14.52":5.8518417245,"14.530000000000001":5.8518417245,"14.540000000000001":5.8518417245,"14.55":5.8518417245,"14.56":5.8518417245,"14.57":5.8518417245,"14.58":5.8518417245,"14.59":5.8518417245,"14.6":5.8518417245,"14.61":5.8518417245,"14.620000000000001":5.8518417245,"14.63":5.8518417245,"14.64":5.8518417245,"14.65":5.8518417245,"14.66":5.8518417245,"14.67":5.8518417245,"14.68":5.8518417245,"14.69":5.8518417245,"14.700000000000001":5.8518417245,"14.71":5.8518417245,"14.72":5.8518417245,"14.73":5.8518417245,"14.74":5.8518417245,"14.75":5.8518417245,"14.76":5.8518417245,"14.77":5.8518417245,"14.780000000000001":5.8518417245,"14.790000000000001":5.8518417245,"14.8":5.8518417245,"14.81":5.8518417245,"14.82":5.8518417245,"14.83":5.8518417245,"14.84":5.8518417245,"14.85":5.8518417245,"14.86":5.8518417245,"14.870000000000001":5.8518417245,"14.88":5.8518417245,"14.89":5.8518417245,"14.9":5.8518417245,"14.91":5.8518417245,"14.92":5.8518417245,"14.93":5.8518417245,"14.94":5.8518417245,"14.950000000000001":5.8518417245,"14.96":5.8518417245,"14.97":5.8518417245,"14.98":5.8518417245,"14.99":5.8518417245,"15.0":5.8518417245},"4":{"5.0":5.8518417245,"5.01":5.8518417245,"5.0200000000000005":5.8518417245,"5.03":5.8518417245,"5.04":5.8518417245,"5.05":5.8518417245,"5.0600000000000005":5.8518417245,"5.07":5.8518417245,"5.08":5.8518417245,"5.09":5.8518417245,"5.1000000000000005":5.8518417245,"5.11":5.8518417245,"5.12":5.8518417245,"5.13":5.8518417245,"5.14":5.8518417245,"5.15":5.8518417245,"5.16":5.8518417245,"5.17":5.8518417245,"5.18":5.8518417245,"5.19":5.8518417245,"5.2":5.8518417245,"5.21":5.8518417245,"5.22":5.8518417245,"5.23":5.8518417245,"5.24":5.8518417245,"5.25":5.8518417245,"5.26":5.8518417245,"5.2700000000000005":5.8518417245,"5.28":5.8518417245,"5.29":5.8518417245,"5.3":5.8518417245,"5.3100000000000005":5.8518417245,"5.32":5.8518417245,"5.33":5.8518417245,"5.34":5.8518417245,"5.3500000000000005":5.8518417245,"5.36":5.8518417245,"5.37":5.8518417245,"5.38":5.8518417245,"5.39":5.8518417245,"5.4":5.8518417245,"5.41":5.8518417245,"5.42":5.8518417245,"5.43":5.8518417245,"5.44":5.8518417245,"5.45":5.8518417245,"5.46":5.8518417245,"5.47":5.8518417245,"5.48":5.8518417245,"5.49":5.8518417245,"5.5":5.8518417245,"5.51":5.8518417245,"5.5200000000000005":5.8518417245,"5.53":5.8518417245,"5.54":5.8518417245,"5.55":5.8518417245,"5.5600000000000005":5.8518417245,"5.57":5.8518417245,"5.58":5.8518417245,"5.59":5.8518417245,"5.6000000000000005":5.8518417245,"5.61":5.8518417245,"5.62":5.8518417245,"5.63":5.8518417245,"5.64":5.8518417245,"5.65":5.8518417245,"5.66":5.8518417245,"5.67":5.8518417245,"5.68":5.8518417245,"5.69":5.8518417245,"5.7":5.8518417245,"5.71":5.8518417245,"5.72":5.8518417245,"5.73":5.8518417245,"5.74":5.8518417245,"5.75":5.8518417245,"5.76":5.8518417245,"5.7700000000000005":5.8518417245,"5.78":5.8518417245,"5.79":5.8518417245,"5.8":5.8518417245,"5.8100000000000005":5.8518417245,"5.82":5.8518417245,"5.83":5.8518417245,"5.84":5.8518417245,"5.8500000000000005":5.8518417245,"5.86":5.8518417245,"5.87":5.8518417245,"5.88":5.8518417245,"5.89":5.8518417245,"5.9":5.8518417245,"5.91":5.8518417245,"5.92":5.8518417245,"5.93":5.8518417245,"5.94":5.8518417245,"5.95":5.8518417245,"5.96":5.8518417245,"5.97":5.8518417245,"5.98":5.8518417245,"5.99":5.8518417245,"6.0":5.8518417245,"6.01":5.8518417245,"6.0200000000000005":5.8518417245,"6.03":5.8518417245,"6.04":5.8518417245,"6.05":5.8518417245,"6.0600000000000005":5.8518417245,"6.07":5.8518417245,"6.08":5.8518417245,"6.09":5.8518417245,"6.1000000000000005":5.8518417245,"6.11":5.8518417245,"6.12":5.8518417245,"6.13":5.8518417245,"6.140000000000001":5.8518417245,"6.15":5.8518417245,"6.16":5.8518417245,"6.17":5.8518417245,"6.18":5.8518417245,"6.19":5.8518417245,"6.2":5.8518417245,"6.21":5.8518417245,"6.22":5.8518417245,"6.23":5.8518417245,"6.24":5.8518417245,"6.25":5.8518417245,"6.26":5.8518417245,"6.2700000000000005":5.8518417245,"6.28":5.8518417245,"6.29":5.8518417245,"6.3":5.8518417245,"6.3100000000000005":5.8518417245,"6.32":5.8518417245,"6.33":5.8518417245,"6.34":5.8518417245,"6.3500000000000005":5.8518417245,"6.36":5.8518417245,"6.37":5.8518417245,"6.38":5.8518417245,"6.390000000000001":5.8518417245,"6.4":5.8518417245,"6.41":5.8518417245,"6.42":5.8518417245,"6.43":5.8518417245,"6.44":5.8518417245,"6.45":5.8518417245,"6.46":5.8518417245,"6.47":5.8518417245,"6.48":5.8518417245,"6.49":5.8518417245,"6.5":5.8518417245,"6.51":5.8518417245,"6.5200000000000005":5.8518417245,"6.53":5.8518417245,"6.54":5.8518417245,"6.55":5.8518417245,"6.5600000000000005":5.8518417245,"6.57":5.8518417245,"6.58":5.8518417245,"6.59":5.8518417245,"6.6000000000000005":5.8518417245,"6.61":5.8518417245,"6.62":5.8518417245,"6.63":5.8518417245,"6.640000000000001":5.8518417245,"6.65":5.8518417245,"6.66":5.8518417245,"6.67":5.8518417245,"6.68":5.8518417245,"6.69":5.8518417245,"6.7":5.8518417245,"6.71":5.8518417245,"6.72":5.8518417245,"6.73":5.8518417245,"6.74":5.8518417245,"6.75":5.8518417245,"6.76":5.8518417245,"6.7700000000000005":5.8518417245,"6.78":5.8518417245,"6.79":5.8518417245,"6.8":5.8518417245,"6.8100000000000005":5.8518417245,"6.82":5.8518417245,"6.83":5.8518417245,"6.84":5.8518417245,"6.8500000000000005":5.8518417245,"6.86":5.8518417245,"6.87":5.8518417245,"6.88":5.8518417245,"6.890000000000001":5.8518417245,"6.9":5.8518417245,"6.91":5.8518417245,"6.92":5.8518417245,"6.93":5.8518417245,"6.94":5.8518417245,"6.95":5.8518417245,"6.96":5.8518417245,"6.97":5.8518417245,"6.98":5.8518417245,"6.99":5.8518417245,"7.0":5.8518417245,"7.01":5.8518417245,"7.0200000000000005":5.8518417245,"7.03":5.8518417245,"7.04":5.8518417245,"7.05":5.8518417245,"7.0600000000000005":5.8518417245,"7.07":5.8518417245,"7.08":5.8518417245,"7.09":5.8518417245,"7.1000000000000005":5.8518417245,"7.11":5.8518417245,"7.12":5.8518417245,"7.13":5.8518417245,"7.140000000000001":5.8518417245,"7.15":5.8518417245,"7.16":5.8518417245,"7.17":5.8518417245,"7.18":5.8518417245,"7.19":5.8518417245,"7.2":5.8518417245,"7.21":5.8518417245,"7.22":5.8518417245,"7.23":5.8518417245,"7.24":5.8518417245,"7.25":5.8518417245,"7.26":5.8518417245,"7.2700000000000005":5.8518417245,"7.28":5.8518417245,"7.29":5.8518417245,"7.3":5.8518417245,"7.3100000000000005":5.8518417245,"7.32":5.8518417245,"7.33":5.8518417245,"7.34":5.8518417245,"7.3500000000000005":5.8518417245,"7.36":5.8518417245,"7.37":5.8518417245,"7.38":5.8518417245,"7.390000000000001":5.8518417245,"7.4":5.8518417245,"7.41":5.8518417245,"7.42":5.8518417245,"7.43":5.8518417245,"7.44":5.8518417245,"7.45":5.8518417245,"7.46":5.8518417245,"7.47":5.8518417245,"7.48":5.8518417245,"7.49":5.8518417245,"7.5":5.8518417245,"7.51":5.8518417245,"7.5200000000000005":5.8518417245,"7.53":5.8518417245,"7.54":5.8518417245,"7.55":5.8518417245,"7.5600000000000005":5.8518417245,"7.57":5.8518417245,"7.58":5.8518417245,"7.59":5.8518417245,"7.6000000000000005":5.8518417245,"7.61":5.8518417245,"7.62":5.8518417245,"7.63":5.8518417245,"7.640000000000001":5.8518417245,"7.65":5.8518417245,"7.66":5.8518417245,"7.67":5.8518417245,"7.68":5.8518417245,"7.69":5.8518417245,"7.7":5.8518417245,"7.71":5.8518417245,"7.72":5.8518417245,"7.73":5.8518417245,"7.74":5.8518417245,"7.75":5.8518417245,"7.76":5.8518417245,"7.7700000000000005":5.8518417245,"7.78":5.8518417245,"7.79":5.8518417245,"7.8":5.8518417245,"7.8100000000000005":5.8518417245,"7.82":5.8518417245,"7.83":5.8518417245,"7.84":5.8518417245,"7.8500000000000005":5.8518417245,"7.86":5.8518417245,"7.87":5.8518417245,"7.88":5.8518417245,"7.890000000000001":5.8518417245,"7.9":5.8518417245,"7.91":5.8518417245,"7.92":5.8518417245,"7.930000000000001":5.8518417245,"7.94":5.8518417245,"7.95":5.8518417245,"7.96":5.8518417245,"7.97":5.8518417245,"7.98":5.8518417245,"7.99":5.8518417245,"8.0":5.8518417245,"8.01":5.8518417245,"8.02":5.8518417245,"8.03":5.8518417245,"8.040000000000001":5.8518417245,"8.05":5.8518417245,"8.06":5.8518417245,"8.07":5.8518417245,"8.08":5.8518417245,"8.09":5.8518417245,"8.1":5.8518417245,"8.11":5.8518417245,"8.120000000000001":5.8518417245,"8.13":5.8518417245,"8.14":5.8518417245,"8.15":5.8518417245,"8.16":5.8518417245,"8.17":5.8518417245,"8.18":5.8518417245,"8.19":5.8518417245,"8.2":5.8518417245,"8.21":5.8518417245,"8.22":5.8518417245,"8.23":5.8518417245,"8.24":5.8518417245,"8.25":5.8518417245,"8.26":5.8518417245,"8.27":5.8518417245,"8.28":5.8518417245,"8.290000000000001":5.8518417245,"8.3":5.8518417245,"8.31":5.8518417245,"8.32":5.8518417245,"8.33":5.8518417245,"8.34":5.8518417245,"8.35":5.8518417245,"8.36":5.8518417245,"8.370000000000001":5.8518417245,"8.38":5.8518417245,"8.39":5.8518417245,"8.4":5.8518417245,"8.41":5.8518417245,"8.42":5.8518417245,"8.43":5.8518417245,"8.44":5.8518417245,"8.45":5.8518417245,"8.46":5.8518417245,"8.47":5.8518417245,"8.48":5.8518417245,"8.49":5.8518417245,"8.5":5.8518417245,"8.51":5.8518417245,"8.52":5.8518417245,"8.53":5.8518417245,"8.540000000000001":5.8518417245,"8.55":5.8518417245,"8.56":5.8518417245,"8.57":5.8518417245,"8.58":5.8518417245,"8.59":5.8518417245,"8.6":5.8518417245,"8.61":5.8518417245,"8.620000000000001":5.8518417245,"8.63":5.8518417245,"8.64":5.8518417245,"8.65":5.8518417245,"8.66":5.8518417245,"8.67":5.8518417245,"8.68":5.8518417245,"8.69":5.8518417245,"8.700000000000001":5.8518417245,"8.71":5.8518417245,"8.72":5.8518417245,"8.73":5.8518417245,"8.74":5.8518417245,"8.75":5.8518417245,"8.76":5.8518417245,"8.77":5.8518417245,"8.78":5.8518417245,"8.790000000000001":5.8518417245,"8.8":5.8518417245,"8.81":5.8518417245,"8.82":5.8518417245,"8.83":5.8518417245,"8.84":5.8518417245,"8.85":5.8518417245,"8.86":5.8518417245,"8.870000000000001":5.8518417245,"8.88":5.8518417245,"8.89":5.8518417245,"8.9":5.8518417245,"8.91":5.8518417245,"8.92":5.8518417245,"8.93":5.8518417245,"8.94":5.8518417245,"8.950000000000001":5.8518417245,"8.96":5.8518417245,"8.97":5.8518417245,"8.98":5.8518417245,"8.99":5.8518417245,"9.0":5.8518417245,"9.01":5.8518417245,"9.02":5.8518417245,"9.03":5.8518417245,"9.040000000000001":5.8518417245,"9.05":5.8518417245,"9.06":5.8518417245,"9.07":5.8518417245,"9.08":5.8518417245,"9.09":5.8518417245,"9.1":5.8518417245,"9.11":5.8518417245,"9.120000000000001":5.8518417245,"9.13":5.8518417245,"9.14":5.8518417245,"9.15":5.8518417245,"9.16":5.8518417245,"9.17":5.8518417245,"9.18":5.8518417245,"9.19":5.8518417245,"9.200000000000001":5.8518417245,"9.21":5.8518417245,"9.22":5.8518417245,"9.23":5.8518417245,"9.24":5.8518417245,"9.25":5.8518417245,"9.26":5.8518417245,"9.27":5.8518417245,"9.28":5.8518417245,"9.290000000000001":5.8518417245,"9.3":5.8518417245,"9.31":5.8518417245,"9.32":5.8518417245,"9.33":5.8518417245,"9.34":5.8518417245,"9.35":5.8518417245,"9.36":5.8518417245,"9.370000000000001":5.8518417245,"9.38":5.8518417245,"9.39":5.8518417245,"9.4":5.8518417245,"9.41":5.8518417245,"9.42":5.8518417245,"9.43":5.8518417245,"9.44":5.8518417245,"9.450000000000001":5.8518417245,"9.46":5.8518417245,"9.47":5.8518417245,"9.48":5.8518417245,"9.49":5.8518417245,"9.5":5.8518417245,"9.51":5.8518417245,"9.52":5.8518417245,"9.53":5.8518417245,"9.540000000000001":5.8518417245,"9.55":5.8518417245,"9.56":5.8518417245,"9.57":5.8518417245,"9.58":5.8518417245,"9.59":5.8518417245,"9.6":5.8518417245,"9.61":5.8518417245,"9.620000000000001":5.8518417245,"9.63":5.8518417245,"9.64":5.8518417245,"9.65":5.8518417245,"9.66":5.8518417245,"9.67":5.8518417245,"9.68":5.8518417245,"9.69":5.8518417245,"9.700000000000001":5.8518417245,"9.71":5.8518417245,"9.72":5.8518417245,"9.73":5.8518417245,"9.74":5.8518417245,"9.75":5.8518417245,"9.76":5.8518417245,"9.77":5.8518417245,"9.78":5.8518417245,"9.790000000000001":5.8518417245,"9.8":5.8518417245,"9.81":5.8518417245,"9.82":5.8518417245,"9.83":5.8518417245,"9.84":5.8518417245,"9.85":5.8518417245,"9.86":5.8518417245,"9.870000000000001":5.8518417245,"9.88":5.8518417245,"9.89":5.8518417245,"9.9":5.8518417245,"9.91":5.8518417245,"9.92":5.8518417245,"9.93":5.8518417245,"9.94":5.8518417245,"9.950000000000001":5.8518417245,"9.96":5.8518417245,"9.97":5.8518417245,"9.98":5.8518417245,"9.99":5.8518417245,"10.0":5.8518417245,"12.0":5.8518417245,"12.01":5.8518417245,"12.02":5.8518417245,"12.030000000000001":5.8518417245,"12.040000000000001":5.8518417245,"12.05":5.8518417245,"12.06":5.8518417245,"12.07":5.8518417245,"12.08":5.8518417245,"12.09":5.8518417245,"12.1":5.8518417245,"12.11":5.8518417245,"12.120000000000001":5.8518417245,"12.13":5.8518417245,"12.14":5.8518417245,"12.15":5.8518417245,"12.16":5.8518417245,"12.17":5.8518417245,"12.18":5.8518417245,"12.19":5.8518417245,"12.200000000000001":5.8518417245,"12.21":5.8518417245,"12.22":5.8518417245,"12.23":5.8518417245,"12.24":5.8518417245,"12.25":5.8518417245,"12.26":5.8518417245,"12.27":5.8518417245,"12.280000000000001":5.8518417245,"12.290000000000001":5.8518417245,"12.3":5.8518417245,"12.31":5.8518417245,"12.32":5.8518417245,"12.33":5.8518417245,"12.34":5.8518417245,"12.35":5.8518417245,"12.36":5.8518417245,"12.370000000000001":5.8518417245,"12.38":5.8518417245,"12.39":5.8518417245,"12.4":5.8518417245,"12.41":5.8518417245,"12.42":5.8518417245,"12.43":5.8518417245,"12.44":5.8518417245,"12.450000000000001":5.8518417245,"12.46":5.8518417245,"12.47":5.8518417245,"12.48":5.8518417245,"12.49":5.8518417245,"12.5":5.8518417245,"12.51":5.8518417245,"12.52":5.8518417245,"12.530000000000001":5.8518417245,"12.540000000000001":5.8518417245,"12.55":5.8518417245,"12.56":5.8518417245,"12.57":5.8518417245,"12.58":5.8518417245,"12.59":5.8518417245,"12.6":5.8518417245,"12.61":5.8518417245,"12.620000000000001":5.8518417245,"12.63":5.8518417245,"12.64":5.8518417245,"12.65":5.8518417245,"12.66":5.8518417245,"12.67":5.8518417245,"12.68":5.8518417245,"12.69":5.8518417245,"12.700000000000001":5.8518417245,"12.71":5.8518417245,"12.72":5.8518417245,"12.73":5.8518417245,"12.74":5.8518417245,"12.75":5.8518417245,"12.76":5.8518417245,"12.77":5.8518417245,"12.780000000000001":5.8518417245,"12.790000000000001":5.8518417245,"12.8":5.8518417245,"12.81":5.8518417245,"12.82":5.8518417245,"12.83":5.8518417245,"12.84":5.8518417245,"12.85":5.8518417245,"12.86":5.8518417245,"12.870000000000001":5.8518417245,"12.88":5.8518417245,"12.89":5.8518417245,"12.9":5.8518417245,"12.91":5.8518417245,"12.92":5.8518417245,"12.93":5.8518417245,"12.94":5.8518417245,"12.950000000000001":5.8518417245,"12.96":5.8518417245,"12.97":5.8518417245,"12.98":5.8518417245,"12.99":5.8518417245,"13.0":5.8518417245,"13.01":5.8518417245,"13.02":5.8518417245,"13.030000000000001":5.8518417245,"13.040000000000001":5.8518417245,"13.05":5.8518417245,"13.06":5.8518417245,"13.07":5.8518417245,"13.08":5.8518417245,"13.09":5.8518417245,"13.1":5.8518417245,"13.11":5.8518417245,"13.120000000000001":5.8518417245,"13.13":5.8518417245,"13.14":5.8518417245,"13.15":5.8518417245,"13.16":5.8518417245,"13.17":5.8518417245,"13.18":5.8518417245,"13.19":5.8518417245,"13.200000000000001":5.8518417245,"13.21":5.8518417245,"13.22":5.8518417245,"13.23":5.8518417245,"13.24":5.8518417245,"13.25":5.8518417245,"13.26":5.8518417245,"13.27":5.8518417245,"13.280000000000001":5.8518417245,"13.290000000000001":5.8518417245,"13.3":5.8518417245,"13.31":5.8518417245,"13.32":5.8518417245,"13.33":5.8518417245,"13.34":5.8518417245,"13.35":5.8518417245,"13.36":5.8518417245,"13.370000000000001":5.8518417245,"13.38":5.8518417245,"13.39":5.8518417245,"13.4":5.8518417245,"13.41":5.8518417245,"13.42":5.8518417245,"13.43":5.8518417245,"13.44":5.8518417245,"13.450000000000001":5.8518417245,"13.46":5.8518417245,"13.47":5.8518417245,"13.48":5.8518417245,"13.49":5.8518417245,"13.5":5.8518417245,"13.51":5.8518417245,"13.52":5.8518417245,"13.530000000000001":5.8518417245,"13.540000000000001":5.8518417245,"13.55":5.8518417245,"13.56":5.8518417245,"13.57":5.8518417245,"13.58":5.8518417245,"13.59":5.8518417245,"13.6":5.8518417245,"13.61":5.8518417245,"13.620000000000001":5.8518417245,"13.63":5.8518417245,"13.64":5.8518417245,"13.65":5.8518417245,"13.66":5.8518417245,"13.67":5.8518417245,"13.68":5.8518417245,"13.69":5.8518417245,"13.700000000000001":5.8518417245,"13.71":5.8518417245,"13.72":5.8518417245,"13.73":5.8518417245,"13.74":5.8518417245,"13.75":5.8518417245,"13.76":5.8518417245,"13.77":5.8518417245,"13.780000000000001":5.8518417245,"13.790000000000001":5.8518417245,"13.8":5.8518417245,"13.81":5.8518417245,"13.82":5.8518417245,"13.83":5.8518417245,"13.84":5.8518417245,"13.85":5.8518417245,"13.86":5.8518417245,"13.870000000000001":5.8518417245,"13.88":5.8518417245,"13.89":5.8518417245,"13.9":5.8518417245,"13.91":5.8518417245,"13.92":5.8518417245,"13.93":5.8518417245,"13.94":5.8518417245,"13.950000000000001":5.8518417245,"13.96":5.8518417245,"13.97":5.8518417245,"13.98":5.8518417245,"13.99":5.8518417245,"14.0":5.8518417245,"14.01":5.8518417245,"14.02":5.8518417245,"14.030000000000001":5.8518417245,"14.040000000000001":5.8518417245,"14.05":5.8518417245,"14.06":5.8518417245,"14.07":5.8518417245,"14.08":5.8518417245,"14.09":5.8518417245,"14.1":5.8518417245,"14.11":5.8518417245,"14.120000000000001":5.8518417245,"14.13":5.8518417245,"14.14":5.8518417245,"14.15":5.8518417245,"14.16":5.8518417245,"14.17":5.8518417245,"14.18":5.8518417245,"14.19":5.8518417245,"14.200000000000001":5.8518417245,"14.21":5.8518417245,"14.22":5.8518417245,"14.23":5.8518417245,"14.24":5.8518417245,"14.25":5.8518417245,"14.26":5.8518417245,"14.27":5.8518417245,"14.280000000000001":5.8518417245,"14.290000000000001":5.8518417245,"14.3":5.8518417245,"14.31":5.8518417245,"14.32":5.8518417245,"14.33":5.8518417245,"14.34":5.8518417245,"14.35":5.8518417245,"14.36":5.8518417245,"14.370000000000001":5.8518417245,"14.38":5.8518417245,"14.39":5.8518417245,"14.4":5.8518417245,"14.41":5.8518417245,"14.42":5.8518417245,"14.43":5.8518417245,"14.44":5.8518417245,"14.450000000000001":5.8518417245,"14.46":5.8518417245,"14.47":5.8518417245,"14.48":5.8518417245,"14.49":5.8518417245,"14.5":5.8518417245,"14.51":5.8518417245,"14.52":5.8518417245,"14.530000000000001":5.8518417245,"14.540000000000001":5.8518417245,"14.55":5.8518417245,"14.56":5.8518417245,"14.57":5.8518417245,"14.58":5.8518417245,"14.59":5.8518417245,"14.6":5.8518417245,"14.61":5.8518417245,"14.620000000000001":5.8518417245,"14.63":5.8518417245,"14.64":5.8518417245,"14.65":5.8518417245,"14.66":5.8518417245,"14.67":5.8518417245,"14.68":5.8518417245,"14.69":5.8518417245,"14.700000000000001":5.8518417245,"14.71":5.8518417245,"14.72":5.8518417245,"14.73":5.8518417245,"14.74":5.8518417245,"14.75":5.8518417245,"14.76":5.8518417245,"14.77":5.8518417245,"14.780000000000001":5.8518417245,"14.790000000000001":5.8518417245,"14.8":5.8518417245,"14.81":5.8518417245,"14.82":5.8518417245,"14.83":5.8518417245,"14.84":5.8518417245,"14.85":5.8518417245,"14.86":5.8518417245,"14.870000000000001":5.8518417245,"14.88":5.8518417245,"14.89":5.8518417245,"14.9":5.8518417245,"14.91":5.8518417245,"14.92":5.8518417245,"14.93":5.8518417245,"14.94":5.8518417245,"14.950000000000001":5.8518417245,"14.96":5.8518417245,"14.97":5.8518417245,"14.98":5.8518417245,"14.99":5.8518417245,"15.0":5.8518417245},"5":{"5.0":5.8518417245,"5.01":5.8518417245,"5.0200000000000005":5.8518417245,"5.03":5.8518417245,"5.04":5.8518417245,"5.05":5.8518417245,"5.0600000000000005":5.8518417245,"5.07":5.8518417245,"5.08":5.8518417245,"5.09":5.8518417245,"5.1000000000000005":5.8518417245,"5.11":5.8518417245,"5.12":5.8518417245,"5.13":5.8518417245,"5.14":5.8518417245,"5.15":5.8518417245,"5.16":5.8518417245,"5.17":5.8518417245,"5.18":5.8518417245,"5.19":5.8518417245,"5.2":5.8518417245,"5.21":5.8518417245,"5.22":5.8518417245,"5.23":5.8518417245,"5.24":5.8518417245,"5.25":5.8518417245,"5.26":5.8518417245,"5.2700000000000005":5.8518417245,"5.28":5.8518417245,"5.29":5.8518417245,"5.3":5.8518417245,"5.3100000000000005":5.8518417245,"5.32":5.8518417245,"5.33":5.8518417245,"5.34":5.8518417245,"5.3500000000000005":5.8518417245,"5.36":5.8518417245,"5.37":5.8518417245,"5.38":5.8518417245,"5.39":5.8518417245,"5.4":5.8518417245,"5.41":5.8518417245,"5.42":5.8518417245,"5.43":5.8518417245,"5.44":5.8518417245,"5.45":5.8518417245,"5.46":5.8518417245,"5.47":5.8518417245,"5.48":5.8518417245,"5.49":5.8518417245,"5.5":5.8518417245,"5.51":5.8518417245,"5.5200000000000005":5.8518417245,"5.53":5.8518417245,"5.54":5.8518417245,"5.55":5.8518417245,"5.5600000000000005":5.8518417245,"5.57":5.8518417245,"5.58":5.8518417245,"5.59":5.8518417245,"5.6000000000000005":5.8518417245,"5.61":5.8518417245,"5.62":5.8518417245,"5.63":5.8518417245,"5.64":5.8518417245,"5.65":5.8518417245,"5.66":5.8518417245,"5.67":5.8518417245,"5.68":5.8518417245,"5.69":5.8518417245,"5.7":5.8518417245,"5.71":5.8518417245,"5.72":5.8518417245,"5.73":5.8518417245,"5.74":5.8518417245,"5.75":5.8518417245,"5.76":5.8518417245,"5.7700000000000005":5.8518417245,"5.78":5.8518417245,"5.79":5.8518417245,"5.8":5.8518417245,"5.8100000000000005":5.8518417245,"5.82":5.8518417245,"5.83":5.8518417245,"5.84":5.8518417245,"5.8500000000000005":5.8518417245,"5.86":5.8518417245,"5.87":5.8518417245,"5.88":5.8518417245,"5.89":5.8518417245,"5.9":5.8518417245,"5.91":5.8518417245,"5.92":5.8518417245,"5.93":5.8518417245,"5.94":5.8518417245,"5.95":5.8518417245,"5.96":5.8518417245,"5.97":5.8518417245,"5.98":5.8518417245,"5.99":5.8518417245,"6.0":5.8518417245,"6.01":5.8518417245,"6.0200000000000005":5.8518417245,"6.03":5.8518417245,"6.04":5.8518417245,"6.05":5.8518417245,"6.0600000000000005":5.8518417245,"6.07":5.8518417245,"6.08":5.8518417245,"6.09":5.8518417245,"6.1000000000000005":5.8518417245,"6.11":5.8518417245,"6.12":5.8518417245,"6.13":5.8518417245,"6.140000000000001":5.8518417245,"6.15":5.8518417245,"6.16":5.8518417245,"6.17":5.8518417245,"6.18":5.8518417245,"6.19":5.8518417245,"6.2":5.8518417245,"6.21":5.8518417245,"6.22":5.8518417245,"6.23":5.8518417245,"6.24":5.8518417245,"6.25":5.8518417245,"6.26":5.8518417245,"6.2700000000000005":5.8518417245,"6.28":5.8518417245,"6.29":5.8518417245,"6.3":5.8518417245,"6.3100000000000005":5.8518417245,"6.32":5.8518417245,"6.33":5.8518417245,"6.34":5.8518417245,"6.3500000000000005":5.8518417245,"6.36":5.8518417245,"6.37":5.8518417245,"6.38":5.8518417245,"6.390000000000001":5.8518417245,"6.4":5.8518417245,"6.41":5.8518417245,"6.42":5.8518417245,"6.43":5.8518417245,"6.44":5.8518417245,"6.45":5.8518417245,"6.46":5.8518417245,"6.47":5.8518417245,"6.48":5.8518417245,"6.49":5.8518417245,"6.5":5.8518417245,"6.51":5.8518417245,"6.5200000000000005":5.8518417245,"6.53":5.8518417245,"6.54":5.8518417245,"6.55":5.8518417245,"6.5600000000000005":5.8518417245,"6.57":5.8518417245,"6.58":5.8518417245,"6.59":5.8518417245,"6.6000000000000005":5.8518417245,"6.61":5.8518417245,"6.62":5.8518417245,"6.63":5.8518417245,"6.640000000000001":5.8518417245,"6.65":5.8518417245,"6.66":5.8518417245,"6.67":5.8518417245,"6.68":5.8518417245,"6.69":5.8518417245,"6.7":5.8518417245,"6.71":5.8518417245,"6.72":5.8518417245,"6.73":5.8518417245,"6.74":5.8518417245,"6.75":5.8518417245,"6.76":5.8518417245,"6.7700000000000005":5.8518417245,"6.78":5.8518417245,"6.79":5.8518417245,"6.8":5.8518417245,"6.8100000000000005":5.8518417245,"6.82":5.8518417245,"6.83":5.8518417245,"6.84":5.8518417245,"6.8500000000000005":5.8518417245,"6.86":5.8518417245,"6.87":5.8518417245,"6.88":5.8518417245,"6.890000000000001":5.8518417245,"6.9":5.8518417245,"6.91":5.8518417245,"6.92":5.8518417245,"6.93":5.8518417245,"6.94":5.8518417245,"6.95":5.8518417245,"6.96":5.8518417245,"6.97":5.8518417245,"6.98":5.8518417245,"6.99":5.8518417245,"7.0":5.8518417245,"7.01":5.8518417245,"7.0200000000000005":5.8518417245,"7.03":5.8518417245,"7.04":5.8518417245,"7.05":5.8518417245,"7.0600000000000005":5.8518417245,"7.07":5.8518417245,"7.08":5.8518417245,"7.09":5.8518417245,"7.1000000000000005":5.8518417245,"7.11":5.8518417245,"7.12":5.8518417245,"7.13":5.8518417245,"7.140000000000001":5.8518417245,"7.15":5.8518417245,"7.16":5.8518417245,"7.17":5.8518417245,"7.18":5.8518417245,"7.19":5.8518417245,"7.2":5.8518417245,"7.21":5.8518417245,"7.22":5.8518417245,"7.23":5.8518417245,"7.24":5.8518417245,"7.25":5.8518417245,"7.26":5.8518417245,"7.2700000000000005":5.8518417245,"7.28":5.8518417245,"7.29":5.8518417245,"7.3":5.8518417245,"7.3100000000000005":5.8518417245,"7.32":5.8518417245,"7.33":5.8518417245,"7.34":5.8518417245,"7.3500000000000005":5.8518417245,"7.36":5.8518417245,"7.37":5.8518417245,"7.38":5.8518417245,"7.390000000000001":5.8518417245,"7.4":5.8518417245,"7.41":5.8518417245,"7.42":5.8518417245,"7.43":5.8518417245,"7.44":5.8518417245,"7.45":5.8518417245,"7.46":5.8518417245,"7.47":5.8518417245,"7.48":5.8518417245,"7.49":5.8518417245,"7.5":5.8518417245,"7.51":5.8518417245,"7.5200000000000005":5.8518417245,"7.53":5.8518417245,"7.54":5.8518417245,"7.55":5.8518417245,"7.5600000000000005":5.8518417245,"7.57":5.8518417245,"7.58":5.8518417245,"7.59":5.8518417245,"7.6000000000000005":5.8518417245,"7.61":5.8518417245,"7.62":5.8518417245,"7.63":5.8518417245,"7.640000000000001":5.8518417245,"7.65":5.8518417245,"7.66":5.8518417245,"7.67":5.8518417245,"7.68":5.8518417245,"7.69":5.8518417245,"7.7":5.8518417245,"7.71":5.8518417245,"7.72":5.8518417245,"7.73":5.8518417245,"7.74":5.8518417245,"7.75":5.8518417245,"7.76":5.8518417245,"7.7700000000000005":5.8518417245,"7.78":5.8518417245,"7.79":5.8518417245,"7.8":5.8518417245,"7.8100000000000005":5.8518417245,"7.82":5.8518417245,"7.83":5.8518417245,"7.84":5.8518417245,"7.8500000000000005":5.8518417245,"7.86":5.8518417245,"7.87":5.8518417245,"7.88":5.8518417245,"7.890000000000001":5.8518417245,"7.9":5.8518417245,"7.91":5.8518417245,"7.92":5.8518417245,"7.930000000000001":5.8518417245,"7.94":5.8518417245,"7.95":5.8518417245,"7.96":5.8518417245,"7.97":5.8518417245,"7.98":5.8518417245,"7.99":5.8518417245,"8.0":5.8518417245,"8.01":5.8518417245,"8.02":5.8518417245,"8.03":5.8518417245,"8.040000000000001":5.8518417245,"8.05":5.8518417245,"8.06":5.8518417245,"8.07":5.8518417245,"8.08":5.8518417245,"8.09":5.8518417245,"8.1":5.8518417245,"8.11":5.8518417245,"8.120000000000001":5.8518417245,"8.13":5.8518417245,"8.14":5.8518417245,"8.15":5.8518417245,"8.16":5.8518417245,"8.17":5.8518417245,"8.18":5.8518417245,"8.19":5.8518417245,"8.2":5.8518417245,"8.21":5.8518417245,"8.22":5.8518417245,"8.23":5.8518417245,"8.24":5.8518417245,"8.25":5.8518417245,"8.26":5.8518417245,"8.27":5.8518417245,"8.28":5.8518417245,"8.290000000000001":5.8518417245,"8.3":5.8518417245,"8.31":5.8518417245,"8.32":5.8518417245,"8.33":5.8518417245,"8.34":5.8518417245,"8.35":5.8518417245,"8.36":5.8518417245,"8.370000000000001":5.8518417245,"8.38":5.8518417245,"8.39":5.8518417245,"8.4":5.8518417245,"8.41":5.8518417245,"8.42":5.8518417245,"8.43":5.8518417245,"8.44":5.8518417245,"8.45":5.8518417245,"8.46":5.8518417245,"8.47":5.8518417245,"8.48":5.8518417245,"8.49":5.8518417245,"8.5":5.8518417245,"8.51":5.8518417245,"8.52":5.8518417245,"8.53":5.8518417245,"8.540000000000001":5.8518417245,"8.55":5.8518417245,"8.56":5.8518417245,"8.57":5.8518417245,"8.58":5.8518417245,"8.59":5.8518417245,"8.6":5.8518417245,"8.61":5.8518417245,"8.620000000000001":5.8518417245,"8.63":5.8518417245,"8.64":5.8518417245,"8.65":5.8518417245,"8.66":5.8518417245,"8.67":5.8518417245,"8.68":5.8518417245,"8.69":5.8518417245,"8.700000000000001":5.8518417245,"8.71":5.8518417245,"8.72":5.8518417245,"8.73":5.8518417245,"8.74":5.8518417245,"8.75":5.8518417245,"8.76":5.8518417245,"8.77":5.8518417245,"8.78":5.8518417245,"8.790000000000001":5.8518417245,"8.8":5.8518417245,"8.81":5.8518417245,"8.82":5.8518417245,"8.83":5.8518417245,"8.84":5.8518417245,"8.85":5.8518417245,"8.86":5.8518417245,"8.870000000000001":5.8518417245,"8.88":5.8518417245,"8.89":5.8518417245,"8.9":5.8518417245,"8.91":5.8518417245,"8.92":5.8518417245,"8.93":5.8518417245,"8.94":5.8518417245,"8.950000000000001":5.8518417245,"8.96":5.8518417245,"8.97":5.8518417245,"8.98":5.8518417245,"8.99":5.8518417245,"9.0":5.8518417245,"9.01":5.8518417245,"9.02":5.8518417245,"9.03":5.8518417245,"9.040000000000001":5.8518417245,"9.05":5.8518417245,"9.06":5.8518417245,"9.07":5.8518417245,"9.08":5.8518417245,"9.09":5.8518417245,"9.1":5.8518417245,"9.11":5.8518417245,"9.120000000000001":5.8518417245,"9.13":5.8518417245,"9.14":5.8518417245,"9.15":5.8518417245,"9.16":5.8518417245,"9.17":5.8518417245,"9.18":5.8518417245,"9.19":5.8518417245,"9.200000000000001":5.8518417245,"9.21":5.8518417245,"9.22":5.8518417245,"9.23":5.8518417245,"9.24":5.8518417245,"9.25":5.8518417245,"9.26":5.8518417245,"9.27":5.8518417245,"9.28":5.8518417245,"9.290000000000001":5.8518417245,"9.3":5.8518417245,"9.31":5.8518417245,"9.32":5.8518417245,"9.33":5.8518417245,"9.34":5.8518417245,"9.35":5.8518417245,"9.36":5.8518417245,"9.370000000000001":5.8518417245,"9.38":5.8518417245,"9.39":5.8518417245,"9.4":5.8518417245,"9.41":5.8518417245,"9.42":5.8518417245,"9.43":5.8518417245,"9.44":5.8518417245,"9.450000000000001":5.8518417245,"9.46":5.8518417245,"9.47":5.8518417245,"9.48":5.8518417245,"9.49":5.8518417245,"9.5":5.8518417245,"9.51":5.8518417245,"9.52":5.8518417245,"9.53":5.8518417245,"9.540000000000001":5.8518417245,"9.55":5.8518417245,"9.56":5.8518417245,"9.57":5.8518417245,"9.58":5.8518417245,"9.59":5.8518417245,"9.6":5.8518417245,"9.61":5.8518417245,"9.620000000000001":5.8518417245,"9.63":5.8518417245,"9.64":5.8518417245,"9.65":5.8518417245,"9.66":5.8518417245,"9.67":5.8518417245,"9.68":5.8518417245,"9.69":5.8518417245,"9.700000000000001":5.8518417245,"9.71":5.8518417245,"9.72":5.8518417245,"9.73":5.8518417245,"9.74":5.8518417245,"9.75":5.8518417245,"9.76":5.8518417245,"9.77":5.8518417245,"9.78":5.8518417245,"9.790000000000001":5.8518417245,"9.8":5.8518417245,"9.81":5.8518417245,"9.82":5.8518417245,"9.83":5.8518417245,"9.84":5.8518417245,"9.85":5.8518417245,"9.86":5.8518417245,"9.870000000000001":5.8518417245,"9.88":5.8518417245,"9.89":5.8518417245,"9.9":5.8518417245,"9.91":5.8518417245,"9.92":5.8518417245,"9.93":5.8518417245,"9.94":5.8518417245,"9.950000000000001":5.8518417245,"9.96":5.8518417245,"9.97":5.8518417245,"9.98":5.8518417245,"9.99":5.8518417245,"10.0":5.8518417245,"12.0":5.8518417245,"12.01":5.8518417245,"12.02":5.8518417245,"12.030000000000001":5.8518417245,"12.040000000000001":5.8518417245,"12.05":5.8518417245,"12.06":5.8518417245,"12.07":5.8518417245,"12.08":5.8518417245,"12.09":5.8518417245,"12.1":5.8518417245,"12.11":5.8518417245,"12.120000000000001":5.8518417245,"12.13":5.8518417245,"12.14":5.8518417245,"12.15":5.8518417245,"12.16":5.8518417245,"12.17":5.8518417245,"12.18":5.8518417245,"12.19":5.8518417245,"12.200000000000001":5.8518417245,"12.21":5.8518417245,"12.22":5.8518417245,"12.23":5.8518417245,"12.24":5.8518417245,"12.25":5.8518417245,"12.26":5.8518417245,"12.27":5.8518417245,"12.280000000000001":5.8518417245,"12.290000000000001":5.8518417245,"12.3":5.8518417245,"12.31":5.8518417245,"12.32":5.8518417245,"12.33":5.8518417245,"12.34":5.8518417245,"12.35":5.8518417245,"12.36":5.8518417245,"12.370000000000001":5.8518417245,"12.38":5.8518417245,"12.39":5.8518417245,"12.4":5.8518417245,"12.41":5.8518417245,"12.42":5.8518417245,"12.43":5.8518417245,"12.44":5.8518417245,"12.450000000000001":5.8518417245,"12.46":5.8518417245,"12.47":5.8518417245,"12.48":5.8518417245,"12.49":5.8518417245,"12.5":5.8518417245,"12.51":5.8518417245,"12.52":5.8518417245,"12.530000000000001":5.8518417245,"12.540000000000001":5.8518417245,"12.55":5.8518417245,"12.56":5.8518417245,"12.57":5.8518417245,"12.58":5.8518417245,"12.59":5.8518417245,"12.6":5.8518417245,"12.61":5.8518417245,"12.620000000000001":5.8518417245,"12.63":5.8518417245,"12.64":5.8518417245,"12.65":5.8518417245,"12.66":5.8518417245,"12.67":5.8518417245,"12.68":5.8518417245,"12.69":5.8518417245,"12.700000000000001":5.8518417245,"12.71":5.8518417245,"12.72":5.8518417245,"12.73":5.8518417245,"12.74":5.8518417245,"12.75":5.8518417245,"12.76":5.8518417245,"12.77":5.8518417245,"12.780000000000001":5.8518417245,"12.790000000000001":5.8518417245,"12.8":5.8518417245,"12.81":5.8518417245,"12.82":5.8518417245,"12.83":5.8518417245,"12.84":5.8518417245,"12.85":5.8518417245,"12.86":5.8518417245,"12.870000000000001":5.8518417245,"12.88":5.8518417245,"12.89":5.8518417245,"12.9":5.8518417245,"12.91":5.8518417245,"12.92":5.8518417245,"12.93":5.8518417245,"12.94":5.8518417245,"12.950000000000001":5.8518417245,"12.96":5.8518417245,"12.97":5.8518417245,"12.98":5.8518417245,"12.99":5.8518417245,"13.0":5.8518417245,"13.01":5.8518417245,"13.02":5.8518417245,"13.030000000000001":5.8518417245,"13.040000000000001":5.8518417245,"13.05":5.8518417245,"13.06":5.8518417245,"13.07":5.8518417245,"13.08":5.8518417245,"13.09":5.8518417245,"13.1":5.8518417245,"13.11":5.8518417245,"13.120000000000001":5.8518417245,"13.13":5.8518417245,"13.14":5.8518417245,"13.15":5.8518417245,"13.16":5.8518417245,"13.17":5.8518417245,"13.18":5.8518417245,"13.19":5.8518417245,"13.200000000000001":5.8518417245,"13.21":5.8518417245,"13.22":5.8518417245,"13.23":5.8518417245,"13.24":5.8518417245,"13.25":5.8518417245,"13.26":5.8518417245,"13.27":5.8518417245,"13.280000000000001":5.8518417245,"13.290000000000001":5.8518417245,"13.3":5.8518417245,"13.31":5.8518417245,"13.32":5.8518417245,"13.33":5.8518417245,"13.34":5.8518417245,"13.35":5.8518417245,"13.36":5.8518417245,"13.370000000000001":5.8518417245,"13.38":5.8518417245,"13.39":5.8518417245,"13.4":5.8518417245,"13.41":5.8518417245,"13.42":5.8518417245,"13.43":5.8518417245,"13.44":5.8518417245,"13.450000000000001":5.8518417245,"13.46":5.8518417245,"13.47":5.8518417245,"13.48":5.8518417245,"13.49":5.8518417245,"13.5":5.8518417245,"13.51":5.8518417245,"13.52":5.8518417245,"13.530000000000001":5.8518417245,"13.540000000000001":5.8518417245,"13.55":5.8518417245,"13.56":5.8518417245,"13.57":5.8518417245,"13.58":5.8518417245,"13.59":5.8518417245,"13.6":5.8518417245,"13.61":5.8518417245,"13.620000000000001":5.8518417245,"13.63":5.8518417245,"13.64":5.8518417245,"13.65":5.8518417245,"13.66":5.8518417245,"13.67":5.8518417245,"13.68":5.8518417245,"13.69":5.8518417245,"13.700000000000001":5.8518417245,"13.71":5.8518417245,"13.72":5.8518417245,"13.73":5.8518417245,"13.74":5.8518417245,"13.75":5.8518417245,"13.76":5.8518417245,"13.77":5.8518417245,"13.780000000000001":5.8518417245,"13.790000000000001":5.8518417245,"13.8":5.8518417245,"13.81":5.8518417245,"13.82":5.8518417245,"13.83":5.8518417245,"13.84":5.8518417245,"13.85":5.8518417245,"13.86":5.8518417245,"13.870000000000001":5.8518417245,"13.88":5.8518417245,"13.89":5.8518417245,"13.9":5.8518417245,"13.91":5.8518417245,"13.92":5.8518417245,"13.93":5.8518417245,"13.94":5.8518417245,"13.950000000000001":5.8518417245,"13.96":5.8518417245,"13.97":5.8518417245,"13.98":5.8518417245,"13.99":5.8518417245,"14.0":5.8518417245,"14.01":5.8518417245,"14.02":5.8518417245,"14.030000000000001":5.8518417245,"14.040000000000001":5.8518417245,"14.05":5.8518417245,"14.06":5.8518417245,"14.07":5.8518417245,"14.08":5.8518417245,"14.09":5.8518417245,"14.1":5.8518417245,"14.11":5.8518417245,"14.120000000000001":5.8518417245,"14.13":5.8518417245,"14.14":5.8518417245,"14.15":5.8518417245,"14.16":5.8518417245,"14.17":5.8518417245,"14.18":5.8518417245,"14.19":5.8518417245,"14.200000000000001":5.8518417245,"14.21":5.8518417245,"14.22":5.8518417245,"14.23":5.8518417245,"14.24":5.8518417245,"14.25":5.8518417245,"14.26":5.8518417245,"14.27":5.8518417245,"14.280000000000001":5.8518417245,"14.290000000000001":5.8518417245,"14.3":5.8518417245,"14.31":5.8518417245,"14.32":5.8518417245,"14.33":5.8518417245,"14.34":5.8518417245,"14.35":5.8518417245,"14.36":5.8518417245,"14.370000000000001":5.8518417245,"14.38":5.8518417245,"14.39":5.8518417245,"14.4":5.8518417245,"14.41":5.8518417245,"14.42":5.8518417245,"14.43":5.8518417245,"14.44":5.8518417245,"14.450000000000001":5.8518417245,"14.46":5.8518417245,"14.47":5.8518417245,"14.48":5.8518417245,"14.49":5.8518417245,"14.5":5.8518417245,"14.51":5.8518417245,"14.52":5.8518417245,"14.530000000000001":5.8518417245,"14.540000000000001":5.8518417245,"14.55":5.8518417245,"14.56":5.8518417245,"14.57":5.8518417245,"14.58":5.8518417245,"14.59":5.8518417245,"14.6":5.8518417245,"14.61":5.8518417245,"14.620000000000001":5.8518417245,"14.63":5.8518417245,"14.64":5.8518417245,"14.65":5.8518417245,"14.66":5.8518417245,"14.67":5.8518417245,"14.68":5.8518417245,"14.69":5.8518417245,"14.700000000000001":5.8518417245,"14.71":5.8518417245,"14.72":5.8518417245,"14.73":5.8518417245,"14.74":5.8518417245,"14.75":5.8518417245,"14.76":5.8518417245,"14.77":5.8518417245,"14.780000000000001":5.8518417245,"14.790000000000001":5.8518417245,"14.8":5.8518417245,"14.81":5.8518417245,"14.82":5.8518417245,"14.83":5.8518417245,"14.84":5.8518417245,"14.85":5.8518417245,"14.86":5.8518417245,"14.870000000000001":5.8518417245,"14.88":5.8518417245,"14.89":5.8518417245,"14.9":5.8518417245,"14.91":5.8518417245,"14.92":5.8518417245,"14.93":5.8518417245,"14.94":5.8518417245,"14.950000000000001":5.8518417245,"14.96":5.8518417245,"14.97":5.8518417245,"14.98":5.8518417245,"14.99":5.8518417245,"15.0":5.8518417245},"6":{"5.0":5.8518417245,"5.01":5.8518417245,"5.0200000000000005":5.8518417245,"5.03":5.8518417245,"5.04":5.8518417245,"5.05":5.8518417245,"5.0600000000000005":5.8518417245,"5.07":5.8518417245,"5.08":5.8518417245,"5.09":5.8518417245,"5.1000000000000005":5.8518417245,"5.11":5.8518417245,"5.12":5.8518417245,"5.13":5.8518417245,"5.14":5.8518417245,"5.15":5.8518417245,"5.16":5.8518417245,"5.17":5.8518417245,"5.18":5.8518417245,"5.19":5.8518417245,"5.2":5.8518417245,"5.21":5.8518417245,"5.22":5.8518417245,"5.23":5.8518417245,"5.24":5.8518417245,"5.25":5.8518417245,"5.26":5.8518417245,"5.2700000000000005":5.8518417245,"5.28":5.8518417245,"5.29":5.8518417245,"5.3":5.8518417245,"5.3100000000000005":5.8518417245,"5.32":5.8518417245,"5.33":5.8518417245,"5.34":5.8518417245,"5.3500000000000005":5.8518417245,"5.36":5.8518417245,"5.37":5.8518417245,"5.38":5.8518417245,"5.39":5.8518417245,"5.4":5.8518417245,"5.41":5.8518417245,"5.42":5.8518417245,"5.43":5.8518417245,"5.44":5.8518417245,"5.45":5.8518417245,"5.46":5.8518417245,"5.47":5.8518417245,"5.48":5.8518417245,"5.49":5.8518417245,"5.5":5.8518417245,"5.51":5.8518417245,"5.5200000000000005":5.8518417245,"5.53":5.8518417245,"5.54":5.8518417245,"5.55":5.8518417245,"5.5600000000000005":5.8518417245,"5.57":5.8518417245,"5.58":5.8518417245,"5.59":5.8518417245,"5.6000000000000005":5.8518417245,"5.61":5.8518417245,"5.62":5.8518417245,"5.63":5.8518417245,"5.64":5.8518417245,"5.65":5.8518417245,"5.66":5.8518417245,"5.67":5.8518417245,"5.68":5.8518417245,"5.69":5.8518417245,"5.7":5.8518417245,"5.71":5.8518417245,"5.72":5.8518417245,"5.73":5.8518417245,"5.74":5.8518417245,"5.75":5.8518417245,"5.76":5.8518417245,"5.7700000000000005":5.8518417245,"5.78":5.8518417245,"5.79":5.8518417245,"5.8":5.8518417245,"5.8100000000000005":5.8518417245,"5.82":5.8518417245,"5.83":5.8518417245,"5.84":5.8518417245,"5.8500000000000005":5.8518417245,"5.86":5.8518417245,"5.87":5.8518417245,"5.88":5.8518417245,"5.89":5.8518417245,"5.9":5.8518417245,"5.91":5.8518417245,"5.92":5.8518417245,"5.93":5.8518417245,"5.94":5.8518417245,"5.95":5.8518417245,"5.96":5.8518417245,"5.97":5.8518417245,"5.98":5.8518417245,"5.99":5.8518417245,"6.0":5.8518417245,"6.01":5.8518417245,"6.0200000000000005":5.8518417245,"6.03":5.8518417245,"6.04":5.8518417245,"6.05":5.8518417245,"6.0600000000000005":5.8518417245,"6.07":5.8518417245,"6.08":5.8518417245,"6.09":5.8518417245,"6.1000000000000005":5.8518417245,"6.11":5.8518417245,"6.12":5.8518417245,"6.13":5.8518417245,"6.140000000000001":5.8518417245,"6.15":5.8518417245,"6.16":5.8518417245,"6.17":5.8518417245,"6.18":5.8518417245,"6.19":5.8518417245,"6.2":5.8518417245,"6.21":5.8518417245,"6.22":5.8518417245,"6.23":5.8518417245,"6.24":5.8518417245,"6.25":5.8518417245,"6.26":5.8518417245,"6.2700000000000005":5.8518417245,"6.28":5.8518417245,"6.29":5.8518417245,"6.3":5.8518417245,"6.3100000000000005":5.8518417245,"6.32":5.8518417245,"6.33":5.8518417245,"6.34":5.8518417245,"6.3500000000000005":5.8518417245,"6.36":5.8518417245,"6.37":5.8518417245,"6.38":5.8518417245,"6.390000000000001":5.8518417245,"6.4":5.8518417245,"6.41":5.8518417245,"6.42":5.8518417245,"6.43":5.8518417245,"6.44":5.8518417245,"6.45":5.8518417245,"6.46":5.8518417245,"6.47":5.8518417245,"6.48":5.8518417245,"6.49":5.8518417245,"6.5":5.8518417245,"6.51":5.8518417245,"6.5200000000000005":5.8518417245,"6.53":5.8518417245,"6.54":5.8518417245,"6.55":5.8518417245,"6.5600000000000005":5.8518417245,"6.57":5.8518417245,"6.58":5.8518417245,"6.59":5.8518417245,"6.6000000000000005":5.8518417245,"6.61":5.8518417245,"6.62":5.8518417245,"6.63":5.8518417245,"6.640000000000001":5.8518417245,"6.65":5.8518417245,"6.66":5.8518417245,"6.67":5.8518417245,"6.68":5.8518417245,"6.69":5.8518417245,"6.7":5.8518417245,"6.71":5.8518417245,"6.72":5.8518417245,"6.73":5.8518417245,"6.74":5.8518417245,"6.75":5.8518417245,"6.76":5.8518417245,"6.7700000000000005":5.8518417245,"6.78":5.8518417245,"6.79":5.8518417245,"6.8":5.8518417245,"6.8100000000000005":5.8518417245,"6.82":5.8518417245,"6.83":5.8518417245,"6.84":5.8518417245,"6.8500000000000005":5.8518417245,"6.86":5.8518417245,"6.87":5.8518417245,"6.88":5.8518417245,"6.890000000000001":5.8518417245,"6.9":5.8518417245,"6.91":5.8518417245,"6.92":5.8518417245,"6.93":5.8518417245,"6.94":5.8518417245,"6.95":5.8518417245,"6.96":5.8518417245,"6.97":5.8518417245,"6.98":5.8518417245,"6.99":5.8518417245,"7.0":5.8518417245,"7.01":5.8518417245,"7.0200000000000005":5.8518417245,"7.03":5.8518417245,"7.04":5.8518417245,"7.05":5.8518417245,"7.0600000000000005":5.8518417245,"7.07":5.8518417245,"7.08":5.8518417245,"7.09":5.8518417245,"7.1000000000000005":5.8518417245,"7.11":5.8518417245,"7.12":5.8518417245,"7.13":5.8518417245,"7.140000000000001":5.8518417245,"7.15":5.8518417245,"7.16":5.8518417245,"7.17":5.8518417245,"7.18":5.8518417245,"7.19":5.8518417245,"7.2":5.8518417245,"7.21":5.8518417245,"7.22":5.8518417245,"7.23":5.8518417245,"7.24":5.8518417245,"7.25":5.8518417245,"7.26":5.8518417245,"7.2700000000000005":5.8518417245,"7.28":5.8518417245,"7.29":5.8518417245,"7.3":5.8518417245,"7.3100000000000005":5.8518417245,"7.32":5.8518417245,"7.33":5.8518417245,"7.34":5.8518417245,"7.3500000000000005":5.8518417245,"7.36":5.8518417245,"7.37":5.8518417245,"7.38":5.8518417245,"7.390000000000001":5.8518417245,"7.4":5.8518417245,"7.41":5.8518417245,"7.42":5.8518417245,"7.43":5.8518417245,"7.44":5.8518417245,"7.45":5.8518417245,"7.46":5.8518417245,"7.47":5.8518417245,"7.48":5.8518417245,"7.49":5.8518417245,"7.5":5.8518417245,"7.51":5.8518417245,"7.5200000000000005":5.8518417245,"7.53":5.8518417245,"7.54":5.8518417245,"7.55":5.8518417245,"7.5600000000000005":5.8518417245,"7.57":5.8518417245,"7.58":5.8518417245,"7.59":5.8518417245,"7.6000000000000005":5.8518417245,"7.61":5.8518417245,"7.62":5.8518417245,"7.63":5.8518417245,"7.640000000000001":5.8518417245,"7.65":5.8518417245,"7.66":5.8518417245,"7.67":5.8518417245,"7.68":5.8518417245,"7.69":5.8518417245,"7.7":5.8518417245,"7.71":5.8518417245,"7.72":5.8518417245,"7.73":5.8518417245,"7.74":5.8518417245,"7.75":5.8518417245,"7.76":5.8518417245,"7.7700000000000005":5.8518417245,"7.78":5.8518417245,"7.79":5.8518417245,"7.8":5.8518417245,"7.8100000000000005":5.8518417245,"7.82":5.8518417245,"7.83":5.8518417245,"7.84":5.8518417245,"7.8500000000000005":5.8518417245,"7.86":5.8518417245,"7.87":5.8518417245,"7.88":5.8518417245,"7.890000000000001":5.8518417245,"7.9":5.8518417245,"7.91":5.8518417245,"7.92":5.8518417245,"7.930000000000001":5.8518417245,"7.94":5.8518417245,"7.95":5.8518417245,"7.96":5.8518417245,"7.97":5.8518417245,"7.98":5.8518417245,"7.99":5.8518417245,"8.0":5.8518417245,"8.01":5.8518417245,"8.02":5.8518417245,"8.03":5.8518417245,"8.040000000000001":5.8518417245,"8.05":5.8518417245,"8.06":5.8518417245,"8.07":5.8518417245,"8.08":5.8518417245,"8.09":5.8518417245,"8.1":5.8518417245,"8.11":5.8518417245,"8.120000000000001":5.8518417245,"8.13":5.8518417245,"8.14":5.8518417245,"8.15":5.8518417245,"8.16":5.8518417245,"8.17":5.8518417245,"8.18":5.8518417245,"8.19":5.8518417245,"8.2":5.8518417245,"8.21":5.8518417245,"8.22":5.8518417245,"8.23":5.8518417245,"8.24":5.8518417245,"8.25":5.8518417245,"8.26":5.8518417245,"8.27":5.8518417245,"8.28":5.8518417245,"8.290000000000001":5.8518417245,"8.3":5.8518417245,"8.31":5.8518417245,"8.32":5.8518417245,"8.33":5.8518417245,"8.34":5.8518417245,"8.35":5.8518417245,"8.36":5.8518417245,"8.370000000000001":5.8518417245,"8.38":5.8518417245,"8.39":5.8518417245,"8.4":5.8518417245,"8.41":5.8518417245,"8.42":5.8518417245,"8.43":5.8518417245,"8.44":5.8518417245,"8.45":5.8518417245,"8.46":5.8518417245,"8.47":5.8518417245,"8.48":5.8518417245,"8.49":5.8518417245,"8.5":5.8518417245,"8.51":5.8518417245,"8.52":5.8518417245,"8.53":5.8518417245,"8.540000000000001":5.8518417245,"8.55":5.8518417245,"8.56":5.8518417245,"8.57":5.8518417245,"8.58":5.8518417245,"8.59":5.8518417245,"8.6":5.8518417245,"8.61":5.8518417245,"8.620000000000001":5.8518417245,"8.63":5.8518417245,"8.64":5.8518417245,"8.65":5.8518417245,"8.66":5.8518417245,"8.67":5.8518417245,"8.68":5.8518417245,"8.69":5.8518417245,"8.700000000000001":5.8518417245,"8.71":5.8518417245,"8.72":5.8518417245,"8.73":5.8518417245,"8.74":5.8518417245,"8.75":5.8518417245,"8.76":5.8518417245,"8.77":5.8518417245,"8.78":5.8518417245,"8.790000000000001":5.8518417245,"8.8":5.8518417245,"8.81":5.8518417245,"8.82":5.8518417245,"8.83":5.8518417245,"8.84":5.8518417245,"8.85":5.8518417245,"8.86":5.8518417245,"8.870000000000001":5.8518417245,"8.88":5.8518417245,"8.89":5.8518417245,"8.9":5.8518417245,"8.91":5.8518417245,"8.92":5.8518417245,"8.93":5.8518417245,"8.94":5.8518417245,"8.950000000000001":5.8518417245,"8.96":5.8518417245,"8.97":5.8518417245,"8.98":5.8518417245,"8.99":5.8518417245,"9.0":5.8518417245,"9.01":5.8518417245,"9.02":5.8518417245,"9.03":5.8518417245,"9.040000000000001":5.8518417245,"9.05":5.8518417245,"9.06":5.8518417245,"9.07":5.8518417245,"9.08":5.8518417245,"9.09":5.8518417245,"9.1":5.8518417245,"9.11":5.8518417245,"9.120000000000001":5.8518417245,"9.13":5.8518417245,"9.14":5.8518417245,"9.15":5.8518417245,"9.16":5.8518417245,"9.17":5.8518417245,"9.18":5.8518417245,"9.19":5.8518417245,"9.200000000000001":5.8518417245,"9.21":5.8518417245,"9.22":5.8518417245,"9.23":5.8518417245,"9.24":5.8518417245,"9.25":5.8518417245,"9.26":5.8518417245,"9.27":5.8518417245,"9.28":5.8518417245,"9.290000000000001":5.8518417245,"9.3":5.8518417245,"9.31":5.8518417245,"9.32":5.8518417245,"9.33":5.8518417245,"9.34":5.8518417245,"9.35":5.8518417245,"9.36":5.8518417245,"9.370000000000001":5.8518417245,"9.38":5.8518417245,"9.39":5.8518417245,"9.4":5.8518417245,"9.41":5.8518417245,"9.42":5.8518417245,"9.43":5.8518417245,"9.44":5.8518417245,"9.450000000000001":5.8518417245,"9.46":5.8518417245,"9.47":5.8518417245,"9.48":5.8518417245,"9.49":5.8518417245,"9.5":5.8518417245,"9.51":5.8518417245,"9.52":5.8518417245,"9.53":5.8518417245,"9.540000000000001":5.8518417245,"9.55":5.8518417245,"9.56":5.8518417245,"9.57":5.8518417245,"9.58":5.8518417245,"9.59":5.8518417245,"9.6":5.8518417245,"9.61":5.8518417245,"9.620000000000001":5.8518417245,"9.63":5.8518417245,"9.64":5.8518417245,"9.65":5.8518417245,"9.66":5.8518417245,"9.67":5.8518417245,"9.68":5.8518417245,"9.69":5.8518417245,"9.700000000000001":5.8518417245,"9.71":5.8518417245,"9.72":5.8518417245,"9.73":5.8518417245,"9.74":5.8518417245,"9.75":5.8518417245,"9.76":5.8518417245,"9.77":5.8518417245,"9.78":5.8518417245,"9.790000000000001":5.8518417245,"9.8":5.8518417245,"9.81":5.8518417245,"9.82":5.8518417245,"9.83":5.8518417245,"9.84":5.8518417245,"9.85":5.8518417245,"9.86":5.8518417245,"9.870000000000001":5.8518417245,"9.88":5.8518417245,"9.89":5.8518417245,"9.9":5.8518417245,"9.91":5.8518417245,"9.92":5.8518417245,"9.93":5.8518417245,"9.94":5.8518417245,"9.950000000000001":5.8518417245,"9.96":5.8518417245,"9.97":5.8518417245,"9.98":5.8518417245,"9.99":5.8518417245,"10.0":5.8518417245,"12.0":5.8518417245,"12.01":5.8518417245,"12.02":5.8518417245,"12.030000000000001":5.8518417245,"12.040000000000001":5.8518417245,"12.05":5.8518417245,"12.06":5.8518417245,"12.07":5.8518417245,"12.08":5.8518417245,"12.09":5.8518417245,"12.1":5.8518417245,"12.11":5.8518417245,"12.120000000000001":5.8518417245,"12.13":5.8518417245,"12.14":5.8518417245,"12.15":5.8518417245,"12.16":5.8518417245,"12.17":5.8518417245,"12.18":5.8518417245,"12.19":5.8518417245,"12.200000000000001":5.8518417245,"12.21":5.8518417245,"12.22":5.8518417245,"12.23":5.8518417245,"12.24":5.8518417245,"12.25":5.8518417245,"12.26":5.8518417245,"12.27":5.8518417245,"12.280000000000001":5.8518417245,"12.290000000000001":5.8518417245,"12.3":5.8518417245,"12.31":5.8518417245,"12.32":5.8518417245,"12.33":5.8518417245,"12.34":5.8518417245,"12.35":5.8518417245,"12.36":5.8518417245,"12.370000000000001":5.8518417245,"12.38":5.8518417245,"12.39":5.8518417245,"12.4":5.8518417245,"12.41":5.8518417245,"12.42":5.8518417245,"12.43":5.8518417245,"12.44":5.8518417245,"12.450000000000001":5.8518417245,"12.46":5.8518417245,"12.47":5.8518417245,"12.48":5.8518417245,"12.49":5.8518417245,"12.5":5.8518417245,"12.51":5.8518417245,"12.52":5.8518417245,"12.530000000000001":5.8518417245,"12.540000000000001":5.8518417245,"12.55":5.8518417245,"12.56":5.8518417245,"12.57":5.8518417245,"12.58":5.8518417245,"12.59":5.8518417245,"12.6":5.8518417245,"12.61":5.8518417245,"12.620000000000001":5.8518417245,"12.63":5.8518417245,"12.64":5.8518417245,"12.65":5.8518417245,"12.66":5.8518417245,"12.67":5.8518417245,"12.68":5.8518417245,"12.69":5.8518417245,"12.700000000000001":5.8518417245,"12.71":5.8518417245,"12.72":5.8518417245,"12.73":5.8518417245,"12.74":5.8518417245,"12.75":5.8518417245,"12.76":5.8518417245,"12.77":5.8518417245,"12.780000000000001":5.8518417245,"12.790000000000001":5.8518417245,"12.8":5.8518417245,"12.81":5.8518417245,"12.82":5.8518417245,"12.83":5.8518417245,"12.84":5.8518417245,"12.85":5.8518417245,"12.86":5.8518417245,"12.870000000000001":5.8518417245,"12.88":5.8518417245,"12.89":5.8518417245,"12.9":5.8518417245,"12.91":5.8518417245,"12.92":5.8518417245,"12.93":5.8518417245,"12.94":5.8518417245,"12.950000000000001":5.8518417245,"12.96":5.8518417245,"12.97":5.8518417245,"12.98":5.8518417245,"12.99":5.8518417245,"13.0":5.8518417245,"13.01":5.8518417245,"13.02":5.8518417245,"13.030000000000001":5.8518417245,"13.040000000000001":5.8518417245,"13.05":5.8518417245,"13.06":5.8518417245,"13.07":5.8518417245,"13.08":5.8518417245,"13.09":5.8518417245,"13.1":5.8518417245,"13.11":5.8518417245,"13.120000000000001":5.8518417245,"13.13":5.8518417245,"13.14":5.8518417245,"13.15":5.8518417245,"13.16":5.8518417245,"13.17":5.8518417245,"13.18":5.8518417245,"13.19":5.8518417245,"13.200000000000001":5.8518417245,"13.21":5.8518417245,"13.22":5.8518417245,"13.23":5.8518417245,"13.24":5.8518417245,"13.25":5.8518417245,"13.26":5.8518417245,"13.27":5.8518417245,"13.280000000000001":5.8518417245,"13.290000000000001":5.8518417245,"13.3":5.8518417245,"13.31":5.8518417245,"13.32":5.8518417245,"13.33":5.8518417245,"13.34":5.8518417245,"13.35":5.8518417245,"13.36":5.8518417245,"13.370000000000001":5.8518417245,"13.38":5.8518417245,"13.39":5.8518417245,"13.4":5.8518417245,"13.41":5.8518417245,"13.42":5.8518417245,"13.43":5.8518417245,"13.44":5.8518417245,"13.450000000000001":5.8518417245,"13.46":5.8518417245,"13.47":5.8518417245,"13.48":5.8518417245,"13.49":5.8518417245,"13.5":5.8518417245,"13.51":5.8518417245,"13.52":5.8518417245,"13.530000000000001":5.8518417245,"13.540000000000001":5.8518417245,"13.55":5.8518417245,"13.56":5.8518417245,"13.57":5.8518417245,"13.58":5.8518417245,"13.59":5.8518417245,"13.6":5.8518417245,"13.61":5.8518417245,"13.620000000000001":5.8518417245,"13.63":5.8518417245,"13.64":5.8518417245,"13.65":5.8518417245,"13.66":5.8518417245,"13.67":5.8518417245,"13.68":5.8518417245,"13.69":5.8518417245,"13.700000000000001":5.8518417245,"13.71":5.8518417245,"13.72":5.8518417245,"13.73":5.8518417245,"13.74":5.8518417245,"13.75":5.8518417245,"13.76":5.8518417245,"13.77":5.8518417245,"13.780000000000001":5.8518417245,"13.790000000000001":5.8518417245,"13.8":5.8518417245,"13.81":5.8518417245,"13.82":5.8518417245,"13.83":5.8518417245,"13.84":5.8518417245,"13.85":5.8518417245,"13.86":5.8518417245,"13.870000000000001":5.8518417245,"13.88":5.8518417245,"13.89":5.8518417245,"13.9":5.8518417245,"13.91":5.8518417245,"13.92":5.8518417245,"13.93":5.8518417245,"13.94":5.8518417245,"13.950000000000001":5.8518417245,"13.96":5.8518417245,"13.97":5.8518417245,"13.98":5.8518417245,"13.99":5.8518417245,"14.0":5.8518417245,"14.01":5.8518417245,"14.02":5.8518417245,"14.030000000000001":5.8518417245,"14.040000000000001":5.8518417245,"14.05":5.8518417245,"14.06":5.8518417245,"14.07":5.8518417245,"14.08":5.8518417245,"14.09":5.8518417245,"14.1":5.8518417245,"14.11":5.8518417245,"14.120000000000001":5.8518417245,"14.13":5.8518417245,"14.14":5.8518417245,"14.15":5.8518417245,"14.16":5.8518417245,"14.17":5.8518417245,"14.18":5.8518417245,"14.19":5.8518417245,"14.200000000000001":5.8518417245,"14.21":5.8518417245,"14.22":5.8518417245,"14.23":5.8518417245,"14.24":5.8518417245,"14.25":5.8518417245,"14.26":5.8518417245,"14.27":5.8518417245,"14.280000000000001":5.8518417245,"14.290000000000001":5.8518417245,"14.3":5.8518417245,"14.31":5.8518417245,"14.32":5.8518417245,"14.33":5.8518417245,"14.34":5.8518417245,"14.35":5.8518417245,"14.36":5.8518417245,"14.370000000000001":5.8518417245,"14.38":5.8518417245,"14.39":5.8518417245,"14.4":5.8518417245,"14.41":5.8518417245,"14.42":5.8518417245,"14.43":5.8518417245,"14.44":5.8518417245,"14.450000000000001":5.8518417245,"14.46":5.8518417245,"14.47":5.8518417245,"14.48":5.8518417245,"14.49":5.8518417245,"14.5":5.8518417245,"14.51":5.8518417245,"14.52":5.8518417245,"14.530000000000001":5.8518417245,"14.540000000000001":5.8518417245,"14.55":5.8518417245,"14.56":5.8518417245,"14.57":5.8518417245,"14.58":5.8518417245,"14.59":5.8518417245,"14.6":5.8518417245,"14.61":5.8518417245,"14.620000000000001":5.8518417245,"14.63":5.8518417245,"14.64":5.8518417245,"14.65":5.8518417245,"14.66":5.8518417245,"14.67":5.8518417245,"14.68":5.8518417245,"14.69":5.8518417245,"14.700000000000001":5.8518417245,"14.71":5.8518417245,"14.72":5.8518417245,"14.73":5.8518417245,"14.74":5.8518417245,"14.75":5.8518417245,"14.76":5.8518417245,"14.77":5.8518417245,"14.780000000000001":5.8518417245,"14.790000000000001":5.8518417245,"14.8":5.8518417245,"14.81":5.8518417245,"14.82":5.8518417245,"14.83":5.8518417245,"14.84":5.8518417245,"14.85":5.8518417245,"14.86":5.8518417245,"14.870000000000001":5.8518417245,"14.88":5.8518417245,"14.89":5.8518417245,"14.9":5.8518417245,"14.91":5.8518417245,"14.92":5.8518417245,"14.93":5.8518417245,"14.94":5.8518417245,"14.950000000000001":5.8518417245,"14.96":5.8518417245,"14.97":5.8518417245,"14.98":5.8518417245,"14.99":5.8518417245,"15.0":5.8518417245},"7":{"5.0":5.8518417245,"5.01":5.8518417245,"5.0200000000000005":5.8518417245,"5.03":5.8518417245,"5.04":5.8518417245,"5.05":5.8518417245,"5.0600000000000005":5.8518417245,"5.07":5.8518417245,"5.08":5.8518417245,"5.09":5.8518417245,"5.1000000000000005":5.8518417245,"5.11":5.8518417245,"5.12":5.8518417245,"5.13":5.8518417245,"5.14":5.8518417245,"5.15":5.8518417245,"5.16":5.8518417245,"5.17":5.8518417245,"5.18":5.8518417245,"5.19":5.8518417245,"5.2":5.8518417245,"5.21":5.8518417245,"5.22":5.8518417245,"5.23":5.8518417245,"5.24":5.8518417245,"5.25":5.8518417245,"5.26":5.8518417245,"5.2700000000000005":5.8518417245,"5.28":5.8518417245,"5.29":5.8518417245,"5.3":5.8518417245,"5.3100000000000005":5.8518417245,"5.32":5.8518417245,"5.33":5.8518417245,"5.34":5.8518417245,"5.3500000000000005":5.8518417245,"5.36":5.8518417245,"5.37":5.8518417245,"5.38":5.8518417245,"5.39":5.8518417245,"5.4":5.8518417245,"5.41":5.8518417245,"5.42":5.8518417245,"5.43":5.8518417245,"5.44":5.8518417245,"5.45":5.8518417245,"5.46":5.8518417245,"5.47":5.8518417245,"5.48":5.8518417245,"5.49":5.8518417245,"5.5":5.8518417245,"5.51":5.8518417245,"5.5200000000000005":5.8518417245,"5.53":5.8518417245,"5.54":5.8518417245,"5.55":5.8518417245,"5.5600000000000005":5.8518417245,"5.57":5.8518417245,"5.58":5.8518417245,"5.59":5.8518417245,"5.6000000000000005":5.8518417245,"5.61":5.8518417245,"5.62":5.8518417245,"5.63":5.8518417245,"5.64":5.8518417245,"5.65":5.8518417245,"5.66":5.8518417245,"5.67":5.8518417245,"5.68":5.8518417245,"5.69":5.8518417245,"5.7":5.8518417245,"5.71":5.8518417245,"5.72":5.8518417245,"5.73":5.8518417245,"5.74":5.8518417245,"5.75":5.8518417245,"5.76":5.8518417245,"5.7700000000000005":5.8518417245,"5.78":5.8518417245,"5.79":5.8518417245,"5.8":5.8518417245,"5.8100000000000005":5.8518417245,"5.82":5.8518417245,"5.83":5.8518417245,"5.84":5.8518417245,"5.8500000000000005":5.8518417245,"5.86":5.8518417245,"5.87":5.8518417245,"5.88":5.8518417245,"5.89":5.8518417245,"5.9":5.8518417245,"5.91":5.8518417245,"5.92":5.8518417245,"5.93":5.8518417245,"5.94":5.8518417245,"5.95":5.8518417245,"5.96":5.8518417245,"5.97":5.8518417245,"5.98":5.8518417245,"5.99":5.8518417245,"6.0":5.8518417245,"6.01":5.8518417245,"6.0200000000000005":5.8518417245,"6.03":5.8518417245,"6.04":5.8518417245,"6.05":5.8518417245,"6.0600000000000005":5.8518417245,"6.07":5.8518417245,"6.08":5.8518417245,"6.09":5.8518417245,"6.1000000000000005":5.8518417245,"6.11":5.8518417245,"6.12":5.8518417245,"6.13":5.8518417245,"6.140000000000001":5.8518417245,"6.15":5.8518417245,"6.16":5.8518417245,"6.17":5.8518417245,"6.18":5.8518417245,"6.19":5.8518417245,"6.2":5.8518417245,"6.21":5.8518417245,"6.22":5.8518417245,"6.23":5.8518417245,"6.24":5.8518417245,"6.25":5.8518417245,"6.26":5.8518417245,"6.2700000000000005":5.8518417245,"6.28":5.8518417245,"6.29":5.8518417245,"6.3":5.8518417245,"6.3100000000000005":5.8518417245,"6.32":5.8518417245,"6.33":5.8518417245,"6.34":5.8518417245,"6.3500000000000005":5.8518417245,"6.36":5.8518417245,"6.37":5.8518417245,"6.38":5.8518417245,"6.390000000000001":5.8518417245,"6.4":5.8518417245,"6.41":5.8518417245,"6.42":5.8518417245,"6.43":5.8518417245,"6.44":5.8518417245,"6.45":5.8518417245,"6.46":5.8518417245,"6.47":5.8518417245,"6.48":5.8518417245,"6.49":5.8518417245,"6.5":5.8518417245,"6.51":5.8518417245,"6.5200000000000005":5.8518417245,"6.53":5.8518417245,"6.54":5.8518417245,"6.55":5.8518417245,"6.5600000000000005":5.8518417245,"6.57":5.8518417245,"6.58":5.8518417245,"6.59":5.8518417245,"6.6000000000000005":5.8518417245,"6.61":5.8518417245,"6.62":5.8518417245,"6.63":5.8518417245,"6.640000000000001":5.8518417245,"6.65":5.8518417245,"6.66":5.8518417245,"6.67":5.8518417245,"6.68":5.8518417245,"6.69":5.8518417245,"6.7":5.8518417245,"6.71":5.8518417245,"6.72":5.8518417245,"6.73":5.8518417245,"6.74":5.8518417245,"6.75":5.8518417245,"6.76":5.8518417245,"6.7700000000000005":5.8518417245,"6.78":5.8518417245,"6.79":5.8518417245,"6.8":5.8518417245,"6.8100000000000005":5.8518417245,"6.82":5.8518417245,"6.83":5.8518417245,"6.84":5.8518417245,"6.8500000000000005":5.8518417245,"6.86":5.8518417245,"6.87":5.8518417245,"6.88":5.8518417245,"6.890000000000001":5.8518417245,"6.9":5.8518417245,"6.91":5.8518417245,"6.92":5.8518417245,"6.93":5.8518417245,"6.94":5.8518417245,"6.95":5.8518417245,"6.96":5.8518417245,"6.97":5.8518417245,"6.98":5.8518417245,"6.99":5.8518417245,"7.0":5.8518417245,"7.01":5.8518417245,"7.0200000000000005":5.8518417245,"7.03":5.8518417245,"7.04":5.8518417245,"7.05":5.8518417245,"7.0600000000000005":5.8518417245,"7.07":5.8518417245,"7.08":5.8518417245,"7.09":5.8518417245,"7.1000000000000005":5.8518417245,"7.11":5.8518417245,"7.12":5.8518417245,"7.13":5.8518417245,"7.140000000000001":5.8518417245,"7.15":5.8518417245,"7.16":5.8518417245,"7.17":5.8518417245,"7.18":5.8518417245,"7.19":5.8518417245,"7.2":5.8518417245,"7.21":5.8518417245,"7.22":5.8518417245,"7.23":5.8518417245,"7.24":5.8518417245,"7.25":5.8518417245,"7.26":5.8518417245,"7.2700000000000005":5.8518417245,"7.28":5.8518417245,"7.29":5.8518417245,"7.3":5.8518417245,"7.3100000000000005":5.8518417245,"7.32":5.8518417245,"7.33":5.8518417245,"7.34":5.8518417245,"7.3500000000000005":5.8518417245,"7.36":5.8518417245,"7.37":5.8518417245,"7.38":5.8518417245,"7.390000000000001":5.8518417245,"7.4":5.8518417245,"7.41":5.8518417245,"7.42":5.8518417245,"7.43":5.8518417245,"7.44":5.8518417245,"7.45":5.8518417245,"7.46":5.8518417245,"7.47":5.8518417245,"7.48":5.8518417245,"7.49":5.8518417245,"7.5":5.8518417245,"7.51":5.8518417245,"7.5200000000000005":5.8518417245,"7.53":5.8518417245,"7.54":5.8518417245,"7.55":5.8518417245,"7.5600000000000005":5.8518417245,"7.57":5.8518417245,"7.58":5.8518417245,"7.59":5.8518417245,"7.6000000000000005":5.8518417245,"7.61":5.8518417245,"7.62":5.8518417245,"7.63":5.8518417245,"7.640000000000001":5.8518417245,"7.65":5.8518417245,"7.66":5.8518417245,"7.67":5.8518417245,"7.68":5.8518417245,"7.69":5.8518417245,"7.7":5.8518417245,"7.71":5.8518417245,"7.72":5.8518417245,"7.73":5.8518417245,"7.74":5.8518417245,"7.75":5.8518417245,"7.76":5.8518417245,"7.7700000000000005":5.8518417245,"7.78":5.8518417245,"7.79":5.8518417245,"7.8":5.8518417245,"7.8100000000000005":5.8518417245,"7.82":5.8518417245,"7.83":5.8518417245,"7.84":5.8518417245,"7.8500000000000005":5.8518417245,"7.86":5.8518417245,"7.87":5.8518417245,"7.88":5.8518417245,"7.890000000000001":5.8518417245,"7.9":5.8518417245,"7.91":5.8518417245,"7.92":5.8518417245,"7.930000000000001":5.8518417245,"7.94":5.8518417245,"7.95":5.8518417245,"7.96":5.8518417245,"7.97":5.8518417245,"7.98":5.8518417245,"7.99":5.8518417245,"8.0":5.8518417245,"8.01":5.8518417245,"8.02":5.8518417245,"8.03":5.8518417245,"8.040000000000001":5.8518417245,"8.05":5.8518417245,"8.06":5.8518417245,"8.07":5.8518417245,"8.08":5.8518417245,"8.09":5.8518417245,"8.1":5.8518417245,"8.11":5.8518417245,"8.120000000000001":5.8518417245,"8.13":5.8518417245,"8.14":5.8518417245,"8.15":5.8518417245,"8.16":5.8518417245,"8.17":5.8518417245,"8.18":5.8518417245,"8.19":5.8518417245,"8.2":5.8518417245,"8.21":5.8518417245,"8.22":5.8518417245,"8.23":5.8518417245,"8.24":5.8518417245,"8.25":5.8518417245,"8.26":5.8518417245,"8.27":5.8518417245,"8.28":5.8518417245,"8.290000000000001":5.8518417245,"8.3":5.8518417245,"8.31":5.8518417245,"8.32":5.8518417245,"8.33":5.8518417245,"8.34":5.8518417245,"8.35":5.8518417245,"8.36":5.8518417245,"8.370000000000001":5.8518417245,"8.38":5.8518417245,"8.39":5.8518417245,"8.4":5.8518417245,"8.41":5.8518417245,"8.42":5.8518417245,"8.43":5.8518417245,"8.44":5.8518417245,"8.45":5.8518417245,"8.46":5.8518417245,"8.47":5.8518417245,"8.48":5.8518417245,"8.49":5.8518417245,"8.5":5.8518417245,"8.51":5.8518417245,"8.52":5.8518417245,"8.53":5.8518417245,"8.540000000000001":5.8518417245,"8.55":5.8518417245,"8.56":5.8518417245,"8.57":5.8518417245,"8.58":5.8518417245,"8.59":5.8518417245,"8.6":5.8518417245,"8.61":5.8518417245,"8.620000000000001":5.8518417245,"8.63":5.8518417245,"8.64":5.8518417245,"8.65":5.8518417245,"8.66":5.8518417245,"8.67":5.8518417245,"8.68":5.8518417245,"8.69":5.8518417245,"8.700000000000001":5.8518417245,"8.71":5.8518417245,"8.72":5.8518417245,"8.73":5.8518417245,"8.74":5.8518417245,"8.75":5.8518417245,"8.76":5.8518417245,"8.77":5.8518417245,"8.78":5.8518417245,"8.790000000000001":5.8518417245,"8.8":5.8518417245,"8.81":5.8518417245,"8.82":5.8518417245,"8.83":5.8518417245,"8.84":5.8518417245,"8.85":5.8518417245,"8.86":5.8518417245,"8.870000000000001":5.8518417245,"8.88":5.8518417245,"8.89":5.8518417245,"8.9":5.8518417245,"8.91":5.8518417245,"8.92":5.8518417245,"8.93":5.8518417245,"8.94":5.8518417245,"8.950000000000001":5.8518417245,"8.96":5.8518417245,"8.97":5.8518417245,"8.98":5.8518417245,"8.99":5.8518417245,"9.0":5.8518417245,"9.01":5.8518417245,"9.02":5.8518417245,"9.03":5.8518417245,"9.040000000000001":5.8518417245,"9.05":5.8518417245,"9.06":5.8518417245,"9.07":5.8518417245,"9.08":5.8518417245,"9.09":5.8518417245,"9.1":5.8518417245,"9.11":5.8518417245,"9.120000000000001":5.8518417245,"9.13":5.8518417245,"9.14":5.8518417245,"9.15":5.8518417245,"9.16":5.8518417245,"9.17":5.8518417245,"9.18":5.8518417245,"9.19":5.8518417245,"9.200000000000001":5.8518417245,"9.21":5.8518417245,"9.22":5.8518417245,"9.23":5.8518417245,"9.24":5.8518417245,"9.25":5.8518417245,"9.26":5.8518417245,"9.27":5.8518417245,"9.28":5.8518417245,"9.290000000000001":5.8518417245,"9.3":5.8518417245,"9.31":5.8518417245,"9.32":5.8518417245,"9.33":5.8518417245,"9.34":5.8518417245,"9.35":5.8518417245,"9.36":5.8518417245,"9.370000000000001":5.8518417245,"9.38":5.8518417245,"9.39":5.8518417245,"9.4":5.8518417245,"9.41":5.8518417245,"9.42":5.8518417245,"9.43":5.8518417245,"9.44":5.8518417245,"9.450000000000001":5.8518417245,"9.46":5.8518417245,"9.47":5.8518417245,"9.48":5.8518417245,"9.49":5.8518417245,"9.5":5.8518417245,"9.51":5.8518417245,"9.52":5.8518417245,"9.53":5.8518417245,"9.540000000000001":5.8518417245,"9.55":5.8518417245,"9.56":5.8518417245,"9.57":5.8518417245,"9.58":5.8518417245,"9.59":5.8518417245,"9.6":5.8518417245,"9.61":5.8518417245,"9.620000000000001":5.8518417245,"9.63":5.8518417245,"9.64":5.8518417245,"9.65":5.8518417245,"9.66":5.8518417245,"9.67":5.8518417245,"9.68":5.8518417245,"9.69":5.8518417245,"9.700000000000001":5.8518417245,"9.71":5.8518417245,"9.72":5.8518417245,"9.73":5.8518417245,"9.74":5.8518417245,"9.75":5.8518417245,"9.76":5.8518417245,"9.77":5.8518417245,"9.78":5.8518417245,"9.790000000000001":5.8518417245,"9.8":5.8518417245,"9.81":5.8518417245,"9.82":5.8518417245,"9.83":5.8518417245,"9.84":5.8518417245,"9.85":5.8518417245,"9.86":5.8518417245,"9.870000000000001":5.8518417245,"9.88":5.8518417245,"9.89":5.8518417245,"9.9":5.8518417245,"9.91":5.8518417245,"9.92":5.8518417245,"9.93":5.8518417245,"9.94":5.8518417245,"9.950000000000001":5.8518417245,"9.96":5.8518417245,"9.97":5.8518417245,"9.98":5.8518417245,"9.99":5.8518417245,"10.0":5.8518417245,"12.0":5.8518417245,"12.01":5.8518417245,"12.02":5.8518417245,"12.030000000000001":5.8518417245,"12.040000000000001":5.8518417245,"12.05":5.8518417245,"12.06":5.8518417245,"12.07":5.8518417245,"12.08":5.8518417245,"12.09":5.8518417245,"12.1":5.8518417245,"12.11":5.8518417245,"12.120000000000001":5.8518417245,"12.13":5.8518417245,"12.14":5.8518417245,"12.15":5.8518417245,"12.16":5.8518417245,"12.17":5.8518417245,"12.18":5.8518417245,"12.19":5.8518417245,"12.200000000000001":5.8518417245,"12.21":5.8518417245,"12.22":5.8518417245,"12.23":5.8518417245,"12.24":5.8518417245,"12.25":5.8518417245,"12.26":5.8518417245,"12.27":5.8518417245,"12.280000000000001":5.8518417245,"12.290000000000001":5.8518417245,"12.3":5.8518417245,"12.31":5.8518417245,"12.32":5.8518417245,"12.33":5.8518417245,"12.34":5.8518417245,"12.35":5.8518417245,"12.36":5.8518417245,"12.370000000000001":5.8518417245,"12.38":5.8518417245,"12.39":5.8518417245,"12.4":5.8518417245,"12.41":5.8518417245,"12.42":5.8518417245,"12.43":5.8518417245,"12.44":5.8518417245,"12.450000000000001":5.8518417245,"12.46":5.8518417245,"12.47":5.8518417245,"12.48":5.8518417245,"12.49":5.8518417245,"12.5":5.8518417245,"12.51":5.8518417245,"12.52":5.8518417245,"12.530000000000001":5.8518417245,"12.540000000000001":5.8518417245,"12.55":5.8518417245,"12.56":5.8518417245,"12.57":5.8518417245,"12.58":5.8518417245,"12.59":5.8518417245,"12.6":5.8518417245,"12.61":5.8518417245,"12.620000000000001":5.8518417245,"12.63":5.8518417245,"12.64":5.8518417245,"12.65":5.8518417245,"12.66":5.8518417245,"12.67":5.8518417245,"12.68":5.8518417245,"12.69":5.8518417245,"12.700000000000001":5.8518417245,"12.71":5.8518417245,"12.72":5.8518417245,"12.73":5.8518417245,"12.74":5.8518417245,"12.75":5.8518417245,"12.76":5.8518417245,"12.77":5.8518417245,"12.780000000000001":5.8518417245,"12.790000000000001":5.8518417245,"12.8":5.8518417245,"12.81":5.8518417245,"12.82":5.8518417245,"12.83":5.8518417245,"12.84":5.8518417245,"12.85":5.8518417245,"12.86":5.8518417245,"12.870000000000001":5.8518417245,"12.88":5.8518417245,"12.89":5.8518417245,"12.9":5.8518417245,"12.91":5.8518417245,"12.92":5.8518417245,"12.93":5.8518417245,"12.94":5.8518417245,"12.950000000000001":5.8518417245,"12.96":5.8518417245,"12.97":5.8518417245,"12.98":5.8518417245,"12.99":5.8518417245,"13.0":5.8518417245,"13.01":5.8518417245,"13.02":5.8518417245,"13.030000000000001":5.8518417245,"13.040000000000001":5.8518417245,"13.05":5.8518417245,"13.06":5.8518417245,"13.07":5.8518417245,"13.08":5.8518417245,"13.09":5.8518417245,"13.1":5.8518417245,"13.11":5.8518417245,"13.120000000000001":5.8518417245,"13.13":5.8518417245,"13.14":5.8518417245,"13.15":5.8518417245,"13.16":5.8518417245,"13.17":5.8518417245,"13.18":5.8518417245,"13.19":5.8518417245,"13.200000000000001":5.8518417245,"13.21":5.8518417245,"13.22":5.8518417245,"13.23":5.8518417245,"13.24":5.8518417245,"13.25":5.8518417245,"13.26":5.8518417245,"13.27":5.8518417245,"13.280000000000001":5.8518417245,"13.290000000000001":5.8518417245,"13.3":5.8518417245,"13.31":5.8518417245,"13.32":5.8518417245,"13.33":5.8518417245,"13.34":5.8518417245,"13.35":5.8518417245,"13.36":5.8518417245,"13.370000000000001":5.8518417245,"13.38":5.8518417245,"13.39":5.8518417245,"13.4":5.8518417245,"13.41":5.8518417245,"13.42":5.8518417245,"13.43":5.8518417245,"13.44":5.8518417245,"13.450000000000001":5.8518417245,"13.46":5.8518417245,"13.47":5.8518417245,"13.48":5.8518417245,"13.49":5.8518417245,"13.5":5.8518417245,"13.51":5.8518417245,"13.52":5.8518417245,"13.530000000000001":5.8518417245,"13.540000000000001":5.8518417245,"13.55":5.8518417245,"13.56":5.8518417245,"13.57":5.8518417245,"13.58":5.8518417245,"13.59":5.8518417245,"13.6":5.8518417245,"13.61":5.8518417245,"13.620000000000001":5.8518417245,"13.63":5.8518417245,"13.64":5.8518417245,"13.65":5.8518417245,"13.66":5.8518417245,"13.67":5.8518417245,"13.68":5.8518417245,"13.69":5.8518417245,"13.700000000000001":5.8518417245,"13.71":5.8518417245,"13.72":5.8518417245,"13.73":5.8518417245,"13.74":5.8518417245,"13.75":5.8518417245,"13.76":5.8518417245,"13.77":5.8518417245,"13.780000000000001":5.8518417245,"13.790000000000001":5.8518417245,"13.8":5.8518417245,"13.81":5.8518417245,"13.82":5.8518417245,"13.83":5.8518417245,"13.84":5.8518417245,"13.85":5.8518417245,"13.86":5.8518417245,"13.870000000000001":5.8518417245,"13.88":5.8518417245,"13.89":5.8518417245,"13.9":5.8518417245,"13.91":5.8518417245,"13.92":5.8518417245,"13.93":5.8518417245,"13.94":5.8518417245,"13.950000000000001":5.8518417245,"13.96":5.8518417245,"13.97":5.8518417245,"13.98":5.8518417245,"13.99":5.8518417245,"14.0":5.8518417245,"14.01":5.8518417245,"14.02":5.8518417245,"14.030000000000001":5.8518417245,"14.040000000000001":5.8518417245,"14.05":5.8518417245,"14.06":5.8518417245,"14.07":5.8518417245,"14.08":5.8518417245,"14.09":5.8518417245,"14.1":5.8518417245,"14.11":5.8518417245,"14.120000000000001":5.8518417245,"14.13":5.8518417245,"14.14":5.8518417245,"14.15":5.8518417245,"14.16":5.8518417245,"14.17":5.8518417245,"14.18":5.8518417245,"14.19":5.8518417245,"14.200000000000001":5.8518417245,"14.21":5.8518417245,"14.22":5.8518417245,"14.23":5.8518417245,"14.24":5.8518417245,"14.25":5.8518417245,"14.26":5.8518417245,"14.27":5.8518417245,"14.280000000000001":5.8518417245,"14.290000000000001":5.8518417245,"14.3":5.8518417245,"14.31":5.8518417245,"14.32":5.8518417245,"14.33":5.8518417245,"14.34":5.8518417245,"14.35":5.8518417245,"14.36":5.8518417245,"14.370000000000001":5.8518417245,"14.38":5.8518417245,"14.39":5.8518417245,"14.4":5.8518417245,"14.41":5.8518417245,"14.42":5.8518417245,"14.43":5.8518417245,"14.44":5.8518417245,"14.450000000000001":5.8518417245,"14.46":5.8518417245,"14.47":5.8518417245,"14.48":5.8518417245,"14.49":5.8518417245,"14.5":5.8518417245,"14.51":5.8518417245,"14.52":5.8518417245,"14.530000000000001":5.8518417245,"14.540000000000001":5.8518417245,"14.55":5.8518417245,"14.56":5.8518417245,"14.57":5.8518417245,"14.58":5.8518417245,"14.59":5.8518417245,"14.6":5.8518417245,"14.61":5.8518417245,"14.620000000000001":5.8518417245,"14.63":5.8518417245,"14.64":5.8518417245,"14.65":5.8518417245,"14.66":5.8518417245,"14.67":5.8518417245,"14.68":5.8518417245,"14.69":5.8518417245,"14.700000000000001":5.8518417245,"14.71":5.8518417245,"14.72":5.8518417245,"14.73":5.8518417245,"14.74":5.8518417245,"14.75":5.8518417245,"14.76":5.8518417245,"14.77":5.8518417245,"14.780000000000001":5.8518417245,"14.790000000000001":5.8518417245,"14.8":5.8518417245,"14.81":5.8518417245,"14.82":5.8518417245,"14.83":5.8518417245,"14.84":5.8518417245,"14.85":5.8518417245,"14.86":5.8518417245,"14.870000000000001":5.8518417245,"14.88":5.8518417245,"14.89":5.8518417245,"14.9":5.8518417245,"14.91":5.8518417245,"14.92":5.8518417245,"14.93":5.8518417245,"14.94":5.8518417245,"14.950000000000001":5.8518417245,"14.96":5.8518417245,"14.97":5.8518417245,"14.98":5.8518417245,"14.99":5.8518417245,"15.0":5.8518417245},"8":{"5.0":5.8518417245,"5.01":5.8518417245,"5.0200000000000005":5.8518417245,"5.03":5.8518417245,"5.04":5.8518417245,"5.05":5.8518417245,"5.0600000000000005":5.8518417245,"5.07":5.8518417245,"5.08":5.8518417245,"5.09":5.8518417245,"5.1000000000000005":5.8518417245,"5.11":5.8518417245,"5.12":5.8518417245,"5.13":5.8518417245,"5.14":5.8518417245,"5.15":5.8518417245,"5.16":5.8518417245,"5.17":5.8518417245,"5.18":5.8518417245,"5.19":5.8518417245,"5.2":5.8518417245,"5.21":5.8518417245,"5.22":5.8518417245,"5.23":5.8518417245,"5.24":5.8518417245,"5.25":5.8518417245,"5.26":5.8518417245,"5.2700000000000005":5.8518417245,"5.28":5.8518417245,"5.29":5.8518417245,"5.3":5.8518417245,"5.3100000000000005":5.8518417245,"5.32":5.8518417245,"5.33":5.8518417245,"5.34":5.8518417245,"5.3500000000000005":5.8518417245,"5.36":5.8518417245,"5.37":5.8518417245,"5.38":5.8518417245,"5.39":5.8518417245,"5.4":5.8518417245,"5.41":5.8518417245,"5.42":5.8518417245,"5.43":5.8518417245,"5.44":5.8518417245,"5.45":5.8518417245,"5.46":5.8518417245,"5.47":5.8518417245,"5.48":5.8518417245,"5.49":5.8518417245,"5.5":5.8518417245,"5.51":5.8518417245,"5.5200000000000005":5.8518417245,"5.53":5.8518417245,"5.54":5.8518417245,"5.55":5.8518417245,"5.5600000000000005":5.8518417245,"5.57":5.8518417245,"5.58":5.8518417245,"5.59":5.8518417245,"5.6000000000000005":5.8518417245,"5.61":5.8518417245,"5.62":5.8518417245,"5.63":5.8518417245,"5.64":5.8518417245,"5.65":5.8518417245,"5.66":5.8518417245,"5.67":5.8518417245,"5.68":5.8518417245,"5.69":5.8518417245,"5.7":5.8518417245,"5.71":5.8518417245,"5.72":5.8518417245,"5.73":5.8518417245,"5.74":5.8518417245,"5.75":5.8518417245,"5.76":5.8518417245,"5.7700000000000005":5.8518417245,"5.78":5.8518417245,"5.79":5.8518417245,"5.8":5.8518417245,"5.8100000000000005":5.8518417245,"5.82":5.8518417245,"5.83":5.8518417245,"5.84":5.8518417245,"5.8500000000000005":5.8518417245,"5.86":5.8518417245,"5.87":5.8518417245,"5.88":5.8518417245,"5.89":5.8518417245,"5.9":5.8518417245,"5.91":5.8518417245,"5.92":5.8518417245,"5.93":5.8518417245,"5.94":5.8518417245,"5.95":5.8518417245,"5.96":5.8518417245,"5.97":5.8518417245,"5.98":5.8518417245,"5.99":5.8518417245,"6.0":5.8518417245,"6.01":5.8518417245,"6.0200000000000005":5.8518417245,"6.03":5.8518417245,"6.04":5.8518417245,"6.05":5.8518417245,"6.0600000000000005":5.8518417245,"6.07":5.8518417245,"6.08":5.8518417245,"6.09":5.8518417245,"6.1000000000000005":5.8518417245,"6.11":5.8518417245,"6.12":5.8518417245,"6.13":5.8518417245,"6.140000000000001":5.8518417245,"6.15":5.8518417245,"6.16":5.8518417245,"6.17":5.8518417245,"6.18":5.8518417245,"6.19":5.8518417245,"6.2":5.8518417245,"6.21":5.8518417245,"6.22":5.8518417245,"6.23":5.8518417245,"6.24":5.8518417245,"6.25":5.8518417245,"6.26":5.8518417245,"6.2700000000000005":5.8518417245,"6.28":5.8518417245,"6.29":5.8518417245,"6.3":5.8518417245,"6.3100000000000005":5.8518417245,"6.32":5.8518417245,"6.33":5.8518417245,"6.34":5.8518417245,"6.3500000000000005":5.8518417245,"6.36":5.8518417245,"6.37":5.8518417245,"6.38":5.8518417245,"6.390000000000001":5.8518417245,"6.4":5.8518417245,"6.41":5.8518417245,"6.42":5.8518417245,"6.43":5.8518417245,"6.44":5.8518417245,"6.45":5.8518417245,"6.46":5.8518417245,"6.47":5.8518417245,"6.48":5.8518417245,"6.49":5.8518417245,"6.5":5.8518417245,"6.51":5.8518417245,"6.5200000000000005":5.8518417245,"6.53":5.8518417245,"6.54":5.8518417245,"6.55":5.8518417245,"6.5600000000000005":5.8518417245,"6.57":5.8518417245,"6.58":5.8518417245,"6.59":5.8518417245,"6.6000000000000005":5.8518417245,"6.61":5.8518417245,"6.62":5.8518417245,"6.63":5.8518417245,"6.640000000000001":5.8518417245,"6.65":5.8518417245,"6.66":5.8518417245,"6.67":5.8518417245,"6.68":5.8518417245,"6.69":5.8518417245,"6.7":5.8518417245,"6.71":5.8518417245,"6.72":5.8518417245,"6.73":5.8518417245,"6.74":5.8518417245,"6.75":5.8518417245,"6.76":5.8518417245,"6.7700000000000005":5.8518417245,"6.78":5.8518417245,"6.79":5.8518417245,"6.8":5.8518417245,"6.8100000000000005":5.8518417245,"6.82":5.8518417245,"6.83":5.8518417245,"6.84":5.8518417245,"6.8500000000000005":5.8518417245,"6.86":5.8518417245,"6.87":5.8518417245,"6.88":5.8518417245,"6.890000000000001":5.8518417245,"6.9":5.8518417245,"6.91":5.8518417245,"6.92":5.8518417245,"6.93":5.8518417245,"6.94":5.8518417245,"6.95":5.8518417245,"6.96":5.8518417245,"6.97":5.8518417245,"6.98":5.8518417245,"6.99":5.8518417245,"7.0":5.8518417245,"7.01":5.8518417245,"7.0200000000000005":5.8518417245,"7.03":5.8518417245,"7.04":5.8518417245,"7.05":5.8518417245,"7.0600000000000005":5.8518417245,"7.07":5.8518417245,"7.08":5.8518417245,"7.09":5.8518417245,"7.1000000000000005":5.8518417245,"7.11":5.8518417245,"7.12":5.8518417245,"7.13":5.8518417245,"7.140000000000001":5.8518417245,"7.15":5.8518417245,"7.16":5.8518417245,"7.17":5.8518417245,"7.18":5.8518417245,"7.19":5.8518417245,"7.2":5.8518417245,"7.21":5.8518417245,"7.22":5.8518417245,"7.23":5.8518417245,"7.24":5.8518417245,"7.25":5.8518417245,"7.26":5.8518417245,"7.2700000000000005":5.8518417245,"7.28":5.8518417245,"7.29":5.8518417245,"7.3":5.8518417245,"7.3100000000000005":5.8518417245,"7.32":5.8518417245,"7.33":5.8518417245,"7.34":5.8518417245,"7.3500000000000005":5.8518417245,"7.36":5.8518417245,"7.37":5.8518417245,"7.38":5.8518417245,"7.390000000000001":5.8518417245,"7.4":5.8518417245,"7.41":5.8518417245,"7.42":5.8518417245,"7.43":5.8518417245,"7.44":5.8518417245,"7.45":5.8518417245,"7.46":5.8518417245,"7.47":5.8518417245,"7.48":5.8518417245,"7.49":5.8518417245,"7.5":5.8518417245,"7.51":5.8518417245,"7.5200000000000005":5.8518417245,"7.53":5.8518417245,"7.54":5.8518417245,"7.55":5.8518417245,"7.5600000000000005":5.8518417245,"7.57":5.8518417245,"7.58":5.8518417245,"7.59":5.8518417245,"7.6000000000000005":5.8518417245,"7.61":5.8518417245,"7.62":5.8518417245,"7.63":5.8518417245,"7.640000000000001":5.8518417245,"7.65":5.8518417245,"7.66":5.8518417245,"7.67":5.8518417245,"7.68":5.8518417245,"7.69":5.8518417245,"7.7":5.8518417245,"7.71":5.8518417245,"7.72":5.8518417245,"7.73":5.8518417245,"7.74":5.8518417245,"7.75":5.8518417245,"7.76":5.8518417245,"7.7700000000000005":5.8518417245,"7.78":5.8518417245,"7.79":5.8518417245,"7.8":5.8518417245,"7.8100000000000005":5.8518417245,"7.82":5.8518417245,"7.83":5.8518417245,"7.84":5.8518417245,"7.8500000000000005":5.8518417245,"7.86":5.8518417245,"7.87":5.8518417245,"7.88":5.8518417245,"7.890000000000001":5.8518417245,"7.9":5.8518417245,"7.91":5.8518417245,"7.92":5.8518417245,"7.930000000000001":5.8518417245,"7.94":5.8518417245,"7.95":5.8518417245,"7.96":5.8518417245,"7.97":5.8518417245,"7.98":5.8518417245,"7.99":5.8518417245,"8.0":5.8518417245,"8.01":5.8518417245,"8.02":5.8518417245,"8.03":5.8518417245,"8.040000000000001":5.8518417245,"8.05":5.8518417245,"8.06":5.8518417245,"8.07":5.8518417245,"8.08":5.8518417245,"8.09":5.8518417245,"8.1":5.8518417245,"8.11":5.8518417245,"8.120000000000001":5.8518417245,"8.13":5.8518417245,"8.14":5.8518417245,"8.15":5.8518417245,"8.16":5.8518417245,"8.17":5.8518417245,"8.18":5.8518417245,"8.19":5.8518417245,"8.2":5.8518417245,"8.21":5.8518417245,"8.22":5.8518417245,"8.23":5.8518417245,"8.24":5.8518417245,"8.25":5.8518417245,"8.26":5.8518417245,"8.27":5.8518417245,"8.28":5.8518417245,"8.290000000000001":5.8518417245,"8.3":5.8518417245,"8.31":5.8518417245,"8.32":5.8518417245,"8.33":5.8518417245,"8.34":5.8518417245,"8.35":5.8518417245,"8.36":5.8518417245,"8.370000000000001":5.8518417245,"8.38":5.8518417245,"8.39":5.8518417245,"8.4":5.8518417245,"8.41":5.8518417245,"8.42":5.8518417245,"8.43":5.8518417245,"8.44":5.8518417245,"8.45":5.8518417245,"8.46":5.8518417245,"8.47":5.8518417245,"8.48":5.8518417245,"8.49":5.8518417245,"8.5":5.8518417245,"8.51":5.8518417245,"8.52":5.8518417245,"8.53":5.8518417245,"8.540000000000001":5.8518417245,"8.55":5.8518417245,"8.56":5.8518417245,"8.57":5.8518417245,"8.58":5.8518417245,"8.59":5.8518417245,"8.6":5.8518417245,"8.61":5.8518417245,"8.620000000000001":5.8518417245,"8.63":5.8518417245,"8.64":5.8518417245,"8.65":5.8518417245,"8.66":5.8518417245,"8.67":5.8518417245,"8.68":5.8518417245,"8.69":5.8518417245,"8.700000000000001":5.8518417245,"8.71":5.8518417245,"8.72":5.8518417245,"8.73":5.8518417245,"8.74":5.8518417245,"8.75":5.8518417245,"8.76":5.8518417245,"8.77":5.8518417245,"8.78":5.8518417245,"8.790000000000001":5.8518417245,"8.8":5.8518417245,"8.81":5.8518417245,"8.82":5.8518417245,"8.83":5.8518417245,"8.84":5.8518417245,"8.85":5.8518417245,"8.86":5.8518417245,"8.870000000000001":5.8518417245,"8.88":5.8518417245,"8.89":5.8518417245,"8.9":5.8518417245,"8.91":5.8518417245,"8.92":5.8518417245,"8.93":5.8518417245,"8.94":5.8518417245,"8.950000000000001":5.8518417245,"8.96":5.8518417245,"8.97":5.8518417245,"8.98":5.8518417245,"8.99":5.8518417245,"9.0":5.8518417245,"9.01":5.8518417245,"9.02":5.8518417245,"9.03":5.8518417245,"9.040000000000001":5.8518417245,"9.05":5.8518417245,"9.06":5.8518417245,"9.07":5.8518417245,"9.08":5.8518417245,"9.09":5.8518417245,"9.1":5.8518417245,"9.11":5.8518417245,"9.120000000000001":5.8518417245,"9.13":5.8518417245,"9.14":5.8518417245,"9.15":5.8518417245,"9.16":5.8518417245,"9.17":5.8518417245,"9.18":5.8518417245,"9.19":5.8518417245,"9.200000000000001":5.8518417245,"9.21":5.8518417245,"9.22":5.8518417245,"9.23":5.8518417245,"9.24":5.8518417245,"9.25":5.8518417245,"9.26":5.8518417245,"9.27":5.8518417245,"9.28":5.8518417245,"9.290000000000001":5.8518417245,"9.3":5.8518417245,"9.31":5.8518417245,"9.32":5.8518417245,"9.33":5.8518417245,"9.34":5.8518417245,"9.35":5.8518417245,"9.36":5.8518417245,"9.370000000000001":5.8518417245,"9.38":5.8518417245,"9.39":5.8518417245,"9.4":5.8518417245,"9.41":5.8518417245,"9.42":5.8518417245,"9.43":5.8518417245,"9.44":5.8518417245,"9.450000000000001":5.8518417245,"9.46":5.8518417245,"9.47":5.8518417245,"9.48":5.8518417245,"9.49":5.8518417245,"9.5":5.8518417245,"9.51":5.8518417245,"9.52":5.8518417245,"9.53":5.8518417245,"9.540000000000001":5.8518417245,"9.55":5.8518417245,"9.56":5.8518417245,"9.57":5.8518417245,"9.58":5.8518417245,"9.59":5.8518417245,"9.6":5.8518417245,"9.61":5.8518417245,"9.620000000000001":5.8518417245,"9.63":5.8518417245,"9.64":5.8518417245,"9.65":5.8518417245,"9.66":5.8518417245,"9.67":5.8518417245,"9.68":5.8518417245,"9.69":5.8518417245,"9.700000000000001":5.8518417245,"9.71":5.8518417245,"9.72":5.8518417245,"9.73":5.8518417245,"9.74":5.8518417245,"9.75":5.8518417245,"9.76":5.8518417245,"9.77":5.8518417245,"9.78":5.8518417245,"9.790000000000001":5.8518417245,"9.8":5.8518417245,"9.81":5.8518417245,"9.82":5.8518417245,"9.83":5.8518417245,"9.84":5.8518417245,"9.85":5.8518417245,"9.86":5.8518417245,"9.870000000000001":5.8518417245,"9.88":5.8518417245,"9.89":5.8518417245,"9.9":5.8518417245,"9.91":5.8518417245,"9.92":5.8518417245,"9.93":5.8518417245,"9.94":5.8518417245,"9.950000000000001":5.8518417245,"9.96":5.8518417245,"9.97":5.8518417245,"9.98":5.8518417245,"9.99":5.8518417245,"10.0":5.8518417245,"12.0":5.8518417245,"12.01":5.8518417245,"12.02":5.8518417245,"12.030000000000001":5.8518417245,"12.040000000000001":5.8518417245,"12.05":5.8518417245,"12.06":5.8518417245,"12.07":5.8518417245,"12.08":5.8518417245,"12.09":5.8518417245,"12.1":5.8518417245,"12.11":5.8518417245,"12.120000000000001":5.8518417245,"12.13":5.8518417245,"12.14":5.8518417245,"12.15":5.8518417245,"12.16":5.8518417245,"12.17":5.8518417245,"12.18":5.8518417245,"12.19":5.8518417245,"12.200000000000001":5.8518417245,"12.21":5.8518417245,"12.22":5.8518417245,"12.23":5.8518417245,"12.24":5.8518417245,"12.25":5.8518417245,"12.26":5.8518417245,"12.27":5.8518417245,"12.280000000000001":5.8518417245,"12.290000000000001":5.8518417245,"12.3":5.8518417245,"12.31":5.8518417245,"12.32":5.8518417245,"12.33":5.8518417245,"12.34":5.8518417245,"12.35":5.8518417245,"12.36":5.8518417245,"12.370000000000001":5.8518417245,"12.38":5.8518417245,"12.39":5.8518417245,"12.4":5.8518417245,"12.41":5.8518417245,"12.42":5.8518417245,"12.43":5.8518417245,"12.44":5.8518417245,"12.450000000000001":5.8518417245,"12.46":5.8518417245,"12.47":5.8518417245,"12.48":5.8518417245,"12.49":5.8518417245,"12.5":5.8518417245,"12.51":5.8518417245,"12.52":5.8518417245,"12.530000000000001":5.8518417245,"12.540000000000001":5.8518417245,"12.55":5.8518417245,"12.56":5.8518417245,"12.57":5.8518417245,"12.58":5.8518417245,"12.59":5.8518417245,"12.6":5.8518417245,"12.61":5.8518417245,"12.620000000000001":5.8518417245,"12.63":5.8518417245,"12.64":5.8518417245,"12.65":5.8518417245,"12.66":5.8518417245,"12.67":5.8518417245,"12.68":5.8518417245,"12.69":5.8518417245,"12.700000000000001":5.8518417245,"12.71":5.8518417245,"12.72":5.8518417245,"12.73":5.8518417245,"12.74":5.8518417245,"12.75":5.8518417245,"12.76":5.8518417245,"12.77":5.8518417245,"12.780000000000001":5.8518417245,"12.790000000000001":5.8518417245,"12.8":5.8518417245,"12.81":5.8518417245,"12.82":5.8518417245,"12.83":5.8518417245,"12.84":5.8518417245,"12.85":5.8518417245,"12.86":5.8518417245,"12.870000000000001":5.8518417245,"12.88":5.8518417245,"12.89":5.8518417245,"12.9":5.8518417245,"12.91":5.8518417245,"12.92":5.8518417245,"12.93":5.8518417245,"12.94":5.8518417245,"12.950000000000001":5.8518417245,"12.96":5.8518417245,"12.97":5.8518417245,"12.98":5.8518417245,"12.99":5.8518417245,"13.0":5.8518417245,"13.01":5.8518417245,"13.02":5.8518417245,"13.030000000000001":5.8518417245,"13.040000000000001":5.8518417245,"13.05":5.8518417245,"13.06":5.8518417245,"13.07":5.8518417245,"13.08":5.8518417245,"13.09":5.8518417245,"13.1":5.8518417245,"13.11":5.8518417245,"13.120000000000001":5.8518417245,"13.13":5.8518417245,"13.14":5.8518417245,"13.15":5.8518417245,"13.16":5.8518417245,"13.17":5.8518417245,"13.18":5.8518417245,"13.19":5.8518417245,"13.200000000000001":5.8518417245,"13.21":5.8518417245,"13.22":5.8518417245,"13.23":5.8518417245,"13.24":5.8518417245,"13.25":5.8518417245,"13.26":5.8518417245,"13.27":5.8518417245,"13.280000000000001":5.8518417245,"13.290000000000001":5.8518417245,"13.3":5.8518417245,"13.31":5.8518417245,"13.32":5.8518417245,"13.33":5.8518417245,"13.34":5.8518417245,"13.35":5.8518417245,"13.36":5.8518417245,"13.370000000000001":5.8518417245,"13.38":5.8518417245,"13.39":5.8518417245,"13.4":5.8518417245,"13.41":5.8518417245,"13.42":5.8518417245,"13.43":5.8518417245,"13.44":5.8518417245,"13.450000000000001":5.8518417245,"13.46":5.8518417245,"13.47":5.8518417245,"13.48":5.8518417245,"13.49":5.8518417245,"13.5":5.8518417245,"13.51":5.8518417245,"13.52":5.8518417245,"13.530000000000001":5.8518417245,"13.540000000000001":5.8518417245,"13.55":5.8518417245,"13.56":5.8518417245,"13.57":5.8518417245,"13.58":5.8518417245,"13.59":5.8518417245,"13.6":5.8518417245,"13.61":5.8518417245,"13.620000000000001":5.8518417245,"13.63":5.8518417245,"13.64":5.8518417245,"13.65":5.8518417245,"13.66":5.8518417245,"13.67":5.8518417245,"13.68":5.8518417245,"13.69":5.8518417245,"13.700000000000001":5.8518417245,"13.71":5.8518417245,"13.72":5.8518417245,"13.73":5.8518417245,"13.74":5.8518417245,"13.75":5.8518417245,"13.76":5.8518417245,"13.77":5.8518417245,"13.780000000000001":5.8518417245,"13.790000000000001":5.8518417245,"13.8":5.8518417245,"13.81":5.8518417245,"13.82":5.8518417245,"13.83":5.8518417245,"13.84":5.8518417245,"13.85":5.8518417245,"13.86":5.8518417245,"13.870000000000001":5.8518417245,"13.88":5.8518417245,"13.89":5.8518417245,"13.9":5.8518417245,"13.91":5.8518417245,"13.92":5.8518417245,"13.93":5.8518417245,"13.94":5.8518417245,"13.950000000000001":5.8518417245,"13.96":5.8518417245,"13.97":5.8518417245,"13.98":5.8518417245,"13.99":5.8518417245,"14.0":5.8518417245,"14.01":5.8518417245,"14.02":5.8518417245,"14.030000000000001":5.8518417245,"14.040000000000001":5.8518417245,"14.05":5.8518417245,"14.06":5.8518417245,"14.07":5.8518417245,"14.08":5.8518417245,"14.09":5.8518417245,"14.1":5.8518417245,"14.11":5.8518417245,"14.120000000000001":5.8518417245,"14.13":5.8518417245,"14.14":5.8518417245,"14.15":5.8518417245,"14.16":5.8518417245,"14.17":5.8518417245,"14.18":5.8518417245,"14.19":5.8518417245,"14.200000000000001":5.8518417245,"14.21":5.8518417245,"14.22":5.8518417245,"14.23":5.8518417245,"14.24":5.8518417245,"14.25":5.8518417245,"14.26":5.8518417245,"14.27":5.8518417245,"14.280000000000001":5.8518417245,"14.290000000000001":5.8518417245,"14.3":5.8518417245,"14.31":5.8518417245,"14.32":5.8518417245,"14.33":5.8518417245,"14.34":5.8518417245,"14.35":5.8518417245,"14.36":5.8518417245,"14.370000000000001":5.8518417245,"14.38":5.8518417245,"14.39":5.8518417245,"14.4":5.8518417245,"14.41":5.8518417245,"14.42":5.8518417245,"14.43":5.8518417245,"14.44":5.8518417245,"14.450000000000001":5.8518417245,"14.46":5.8518417245,"14.47":5.8518417245,"14.48":5.8518417245,"14.49":5.8518417245,"14.5":5.8518417245,"14.51":5.8518417245,"14.52":5.8518417245,"14.530000000000001":5.8518417245,"14.540000000000001":5.8518417245,"14.55":5.8518417245,"14.56":5.8518417245,"14.57":5.8518417245,"14.58":5.8518417245,"14.59":5.8518417245,"14.6":5.8518417245,"14.61":5.8518417245,"14.620000000000001":5.8518417245,"14.63":5.8518417245,"14.64":5.8518417245,"14.65":5.8518417245,"14.66":5.8518417245,"14.67":5.8518417245,"14.68":5.8518417245,"14.69":5.8518417245,"14.700000000000001":5.8518417245,"14.71":5.8518417245,"14.72":5.8518417245,"14.73":5.8518417245,"14.74":5.8518417245,"14.75":5.8518417245,"14.76":5.8518417245,"14.77":5.8518417245,"14.780000000000001":5.8518417245,"14.790000000000001":5.8518417245,"14.8":5.8518417245,"14.81":5.8518417245,"14.82":5.8518417245,"14.83":5.8518417245,"14.84":5.8518417245,"14.85":5.8518417245,"14.86":5.8518417245,"14.870000000000001":5.8518417245,"14.88":5.8518417245,"14.89":5.8518417245,"14.9":5.8518417245,"14.91":5.8518417245,"14.92":5.8518417245,"14.93":5.8518417245,"14.94":5.8518417245,"14.950000000000001":5.8518417245,"14.96":5.8518417245,"14.97":5.8518417245,"14.98":5.8518417245,"14.99":5.8518417245,"15.0":5.8518417245},"9":{"5.0":1.7252774821,"5.01":1.6642238857,"5.0200000000000005":1.6133463632,"5.03":1.57284663,"5.04":1.5428628473,"5.05":1.5234926728,"5.0600000000000005":1.5148191065,"5.07":1.5169374328,"5.08":1.5299812105,"5.09":1.5540625575,"5.1000000000000005":1.5895262314,"5.11":1.6366234321,"5.12":1.6958146353,"5.13":1.7675197987,"5.14":1.8517626743,"5.15":1.9484382163,"5.16":2.0550514672,"5.17":2.1106047859,"5.18":2.1282755302,"5.19":2.1705040017,"5.2":2.2266115475,"5.21":2.2786757566,"5.22":2.3114593686,"5.23":2.3176516426,"5.24":2.2905517756,"5.25":2.2257954709,"5.26":2.1599727944,"5.2700000000000005":2.1105949193,"5.28":2.0984102252,"5.29":2.1508543875,"5.3":2.2277109319,"5.3100000000000005":2.3145040152,"5.32":2.349025616,"5.33":2.4216328742,"5.34":2.5398330555,"5.3500000000000005":2.7067574249,"5.36":2.9255743107,"5.37":3.199408788,"5.38":3.5312393792,"5.39":3.9237736529,"5.4":4.37930592,"5.41":4.8995615015,"5.42":5.4855332082,"5.43":6.1373166571,"5.44":6.8539517974,"5.45":7.6332784731,"5.46":8.4647195537,"5.47":9.0957604472,"5.48":9.4507706455,"5.49":9.7333267406,"5.5":9.7415347599,"5.51":9.56146988,"5.5200000000000005":9.3694184567,"5.53":9.168900996,"5.54":8.9633333112,"5.55":8.7559454622,"5.5600000000000005":8.5496969066,"5.57":8.3472039089,"5.58":8.1506823589,"5.59":7.961908426,"5.6000000000000005":7.7821987651,"5.61":7.6124111849,"5.62":7.4529658117,"5.63":7.3038858803,"5.64":7.1648563861,"5.65":7.035297991,"5.66":6.9144528218,"5.67":6.8014781797,"5.68":6.6955437153,"5.69":6.5959273576,"5.7":6.5021052142,"5.71":6.413830817,"5.72":6.3311994529,"5.73":6.2503108773,"5.74":5.9956475964,"5.75":5.6259105443,"5.76":5.2470168669,"5.7700000000000005":4.8914559511,"5.78":4.5809657393,"5.79":4.3657653544,"5.8":4.178462946,"5.8100000000000005":4.0489195592,"5.82":3.9382231424,"5.83":3.8103769203,"5.84":3.6922324552,"5.8500000000000005":3.5763979522,"5.86":3.4640201847,"5.87":3.3727729366,"5.88":3.3155568236,"5.89":3.2901307437,"5.9":3.2790615784,"5.91":3.2798025934,"5.92":3.2898688051,"5.93":3.3064457788,"5.94":3.3379536028,"5.95":3.3744240404,"5.96":3.3992021417,"5.97":3.4152244837,"5.98":3.4244615517,"5.99":3.4270004151,"6.0":3.412823918,"6.01":3.3895173094,"6.0200000000000005":3.3573027076,"6.03":3.3150850043,"6.04":3.2421553535,"6.05":3.1501653341,"6.0600000000000005":3.0498095432,"6.07":2.8815509013,"6.08":2.6429944067,"6.09":2.4087335447,"6.1000000000000005":2.1816109657,"6.11":1.9636612738,"6.12":1.7566123903,"6.13":1.5618750769,"6.140000000000001":1.380557958,"6.15":1.2135046537,"6.16":1.0613484081,"6.17":0.9245786872,"6.18":0.8036136666,"6.19":0.6988723488,"6.2":0.6108402616,"6.21":0.5401232519,"6.22":0.4874847841,"6.23":0.4538633125,"6.24":0.4403676513,"6.25":0.4482497449,"6.26":0.4788557407,"6.2700000000000005":0.5335653353,"6.28":0.6140455564,"6.29":0.720028852,"6.3":0.8545448059,"6.3100000000000005":1.0118549911,"6.32":1.1885357729,"6.33":1.3798808012,"6.34":1.581691259,"6.3500000000000005":1.7883669612,"6.36":2.008482488,"6.37":2.2159789134,"6.38":2.3814396649,"6.390000000000001":2.4980332539,"6.4":2.5821105155,"6.41":2.6595400575,"6.42":2.7413793532,"6.43":2.8158895136,"6.44":2.8780684627,"6.45":2.9449189391,"6.46":3.0105730767,"6.47":3.0746305001,"6.48":3.1367763953,"6.49":3.1967475791,"6.5":3.2532299402,"6.51":3.3065299236,"6.5200000000000005":3.3578384139,"6.53":3.4070322096,"6.54":3.4540094589,"6.55":3.4986841677,"6.5600000000000005":3.5409800792,"6.57":3.5808244038,"6.58":3.6181419167,"6.59":3.6528499405,"6.6000000000000005":3.6848547002,"6.61":3.7138463737,"6.62":3.7400263313,"6.63":3.7635212929,"6.640000000000001":3.7835341766,"6.65":3.800220961,"6.66":3.813460561,"6.67":3.8231543418,"6.68":3.8292383047,"6.69":3.8316958531,"6.7":3.8305704687,"6.71":3.8259775953,"6.72":3.8181150369,"6.73":3.8072712191,"6.74":3.7938307488,"6.75":3.7821208954,"6.76":3.7681948627,"6.7700000000000005":3.7531081013,"6.78":3.7372561824,"6.79":3.7211001335,"6.8":3.7051657668,"6.8100000000000005":3.6900406879,"6.82":3.6763690526,"6.83":3.6648442343,"6.84":3.6588436565,"6.8500000000000005":3.6665042523,"6.86":3.683832071,"6.87":3.7278581931,"6.88":3.788093166,"6.890000000000001":3.86731438,"6.9":3.9699774092,"6.91":4.0938097602,"6.92":4.2151058211,"6.93":4.3531885475,"6.94":4.5055370621,"6.95":4.6531020793,"6.96":4.7916296387,"6.97":4.9325755132,"6.98":5.054006539,"6.99":5.1486873247,"7.0":5.2006747884,"7.01":5.1880401142,"7.0200000000000005":5.1495099104,"7.03":5.1048242892,"7.04":5.073834255,"7.05":5.0911498204,"7.0600000000000005":5.1687700683,"7.07":5.3094650685,"7.08":5.5104746165,"7.09":5.7543390448,"7.1000000000000005":6.0279715798,"7.11":6.3308613157,"7.12":6.6618261625,"7.13":7.0159149061,"7.140000000000001":7.3803507554,"7.15":7.7328918439,"7.16":8.0638136254,"7.17":8.3644157,"7.18":8.6297444394,"7.19":8.8747556249,"7.2":9.0762037014,"7.21":9.2556574314,"7.22":9.411669694,"7.23":9.5073266416,"7.24":9.5595170392,"7.25":9.5750208411,"7.26":9.5497526613,"7.2700000000000005":9.4576992484,"7.28":9.3119277127,"7.29":9.1098248415,"7.3":8.8624291478,"7.3100000000000005":8.574331999,"7.32":8.2446068261,"7.33":7.8831875437,"7.34":7.4938618619,"7.3500000000000005":7.0808507691,"7.36":6.6495051859,"7.37":6.2073694926,"7.38":5.7646841778,"7.390000000000001":5.3317264312,"7.4":4.9199009916,"7.41":4.5426808784,"7.42":4.209300044,"7.43":3.916933947,"7.44":3.6636948763,"7.45":3.4491765856,"7.46":3.2504584744,"7.47":3.0905618053,"7.48":2.9572269952,"7.49":2.8493051967,"7.5":2.766211269,"7.51":2.6994646052,"7.5200000000000005":2.6734299405,"7.53":2.6709062898,"7.54":2.6672008136,"7.55":2.6578283573,"7.5600000000000005":2.6508733266,"7.57":2.641972018,"7.58":2.6328081859,"7.59":2.6079411306,"7.6000000000000005":2.5941647304,"7.61":2.6039618704,"7.62":2.6067711051,"7.63":2.5956559067,"7.640000000000001":2.5635949321,"7.65":2.4728194463,"7.66":2.3099020859,"7.67":2.1427753041,"7.68":1.9726364346,"7.69":1.8011837801,"7.7":1.6305250758,"7.71":1.4630767277,"7.72":1.3014578718,"7.73":1.1483831636,"7.74":1.0065579559,"7.75":0.8785791685,"7.76":0.7668447263,"7.7700000000000005":0.673473965,"7.78":0.6002408913,"7.79":0.5485216709,"7.8":0.5192572022,"7.8100000000000005":0.5129366986,"7.82":0.529584619,"7.83":0.5252028639,"7.84":0.532484335,"7.8500000000000005":0.5631412656,"7.86":0.6095717205,"7.87":0.6696637892,"7.88":0.7415554394,"7.890000000000001":0.8232372813,"7.9":0.912627179,"7.91":1.0076457785,"7.92":1.1062904645,"7.930000000000001":1.2067053131,"7.94":1.3072447245,"7.95":1.4065285931,"7.96":1.503487115,"7.97":1.5973936265,"7.98":1.6878842245,"7.99":1.7749633274,"8.0":1.8589947851,"8.01":1.9406236517,"8.02":2.0206959109,"8.03":2.099508858,"8.040000000000001":2.1561352957,"8.05":2.1838896147,"8.06":2.208095491,"8.07":2.2391324436,"8.08":2.2782580901,"8.09":2.3271805174,"8.1":2.3868435028,"8.11":2.4579411741,"8.120000000000001":2.5401681615,"8.13":2.6333856398,"8.14":2.7372594469,"8.15":2.8473216136,"8.16":2.9431436688,"8.17":3.0179188283,"8.18":3.0953223343,"8.19":3.1751276484,"8.2":3.2438693057,"8.21":3.3150072474,"8.22":3.3895341725,"8.23":3.4679560107,"8.24":3.552161698,"8.25":3.6698250861,"8.26":3.8500633625,"8.27":4.1084939716,"8.28":4.4291393653,"8.290000000000001":4.7970653934,"8.3":5.195917241,"8.31":5.5991738154,"8.32":5.9683504081,"8.33":6.2878142492,"8.34":6.5916378523,"8.35":6.7698148298,"8.36":6.9182514564,"8.370000000000001":7.1021686882,"8.38":7.3302068286,"8.39":7.6056727506,"8.4":7.9215366827,"8.41":8.1731576396,"8.42":8.3103018024,"8.43":8.397684833,"8.44":8.4565877,"8.45":8.4873040327,"8.46":8.4794126588,"8.47":8.4172053038,"8.48":8.3114715219,"8.49":8.1592683905,"8.5":7.9527406962,"8.51":7.7111996164,"8.52":7.4469318116,"8.53":7.1733207342,"8.540000000000001":6.903592226,"8.55":6.6490848709,"8.56":6.4673352808,"8.57":6.3323267452,"8.58":6.200749128,"8.59":6.0335551045,"8.6":5.8278956223,"8.61":5.6089848601,"8.620000000000001":5.3906540444,"8.63":5.1808233749,"8.64":4.9849354642,"8.65":4.8077983307,"8.66":4.6527493797,"8.67":4.5223929705,"8.68":4.4186552064,"8.69":4.3425146544,"8.700000000000001":4.2943544429,"8.71":4.2735626871,"8.72":4.2789318862,"8.73":4.3085862167,"8.74":4.3601656865,"8.75":4.4308504906,"8.76":4.5171271827,"8.77":4.6145623236,"8.78":4.7181989364,"8.790000000000001":4.8170778813,"8.8":4.8756791212,"8.81":4.8979350497,"8.82":4.9235061291,"8.83":4.9495963275,"8.84":4.984306097,"8.85":5.0534083319,"8.86":5.1232310225,"8.870000000000001":5.1729955449,"8.88":5.2052338547,"8.89":5.2122434801,"8.9":5.1833221775,"8.91":5.1368027797,"8.92":5.0722274794,"8.93":4.9742736699,"8.94":4.8418983691,"8.950000000000001":4.6930532726,"8.96":4.5166708401,"8.97":4.3148819253,"8.98":4.0792657006,"8.99":3.8140373456,"9.0":3.5194004314,"9.01":3.199086097,"9.02":2.8673978847,"9.03":2.5359971849,"9.040000000000001":2.2115257026,"9.05":1.8988838817,"9.06":1.6192294824,"9.07":1.3578350404,"9.08":1.1135734695,"9.09":0.8850187256,"9.1":0.6782425485,"9.11":0.4992052818,"9.120000000000001":0.3469739232,"9.13":0.2202012813,"9.14":0.1172041761,"9.15":0.0360526761,"9.16":0.0,"9.17":0.0,"9.18":0.0,"9.19":0.0,"9.200000000000001":0.0,"9.21":0.0,"9.22":0.0,"9.23":0.0,"9.24":0.0,"9.25":0.0029860215,"9.26":0.0482835708,"9.27":0.100381832,"9.28":0.1594244026,"9.290000000000001":0.2256071532,"9.3":0.2991091975,"9.31":0.3800273418,"9.32":0.4683183951,"9.33":0.5637532583,"9.34":0.6658860209,"9.35":0.7740404162,"9.36":0.887314978,"9.370000000000001":1.0046071365,"9.38":1.1242726061,"9.39":1.2393287993,"9.4":1.349397418,"9.41":1.4563884265,"9.42":1.5727723791,"9.43":1.7065770437,"9.44":1.8375657183,"9.450000000000001":1.9659919927,"9.46":2.0839863124,"9.47":2.1713641268,"9.48":2.2491070667,"9.49":2.3320132908,"9.5":2.4231327201,"9.51":2.5258749074,"9.52":2.6438976691,"9.53":2.7809741175,"9.540000000000001":2.9093472763,"9.55":2.9948852807,"9.56":3.0635465567,"9.57":3.1242229,"9.58":3.1802175362,"9.59":3.2555208493,"9.6":3.3758040245,"9.61":3.4621948791,"9.620000000000001":3.5516637719,"9.63":3.6184435376,"9.64":3.6619111978,"9.65":3.6858362219,"9.66":3.7139375978,"9.67":3.7436899025,"9.68":3.7958299187,"9.69":3.84831602,"9.700000000000001":3.8988883017,"9.71":3.8320793442,"9.72":3.7472831244,"9.73":3.6724811371,"9.74":3.6121028497,"9.75":3.5679719465,"9.76":3.5416888215,"9.77":3.5347506335,"9.78":3.5479025107,"9.790000000000001":3.5815924297,"9.8":3.6359159373,"9.81":3.7105517477,"9.82":3.8048195829,"9.83":3.9176766996,"9.84":4.0476777861,"9.85":4.192905249,"9.86":4.3506997271,"9.870000000000001":4.4730527605,"9.88":4.4716229768,"9.89":4.4665533347,"9.9":4.4770413544,"9.91":4.51572515,"9.92":4.5907076379,"9.93":4.6857022541,"9.94":4.8045259989,"9.950000000000001":4.9270431129,"9.96":5.0511960602,"9.97":5.1689354249,"9.98":5.2727030908,"9.99":5.3569135554,"10.0":5.415081614,"12.0":2.5367096083,"12.01":2.4277119412,"12.02":2.2986519179,"12.030000000000001":2.1151911236,"12.040000000000001":1.8506377544,"12.05":1.5958654388,"12.06":1.3642669312,"12.07":1.1649789369,"12.08":0.9966549201,"12.09":0.8578764204,"12.1":0.7473465436,"12.11":0.6639060941,"12.120000000000001":0.6065306837,"12.13":0.5743108716,"12.14":0.5665191894,"12.15":0.5827253361,"12.16":0.6300995629,"12.17":0.7018180151,"12.18":0.7478338558,"12.19":0.8162360775,"12.200000000000001":0.9063627485,"12.21":1.0165765455,"12.22":1.1450227586,"12.23":1.2896452191,"12.24":1.4482287567,"12.25":1.6184577618,"12.26":1.7979879486,"12.27":1.9845274987,"12.280000000000001":2.1759230585,"12.290000000000001":2.3702456083,"12.3":2.5658710386,"12.31":2.761550377,"12.32":2.9564650041,"12.33":3.1502628561,"12.34":3.3430725049,"12.35":3.5354930935,"12.36":3.7285593222,"12.370000000000001":3.9236819673,"12.38":4.1225657144,"12.39":4.3271073152,"12.4":4.5392781832,"12.41":4.7609964654,"12.42":4.9560312264,"12.43":5.0168589953,"12.44":4.9763198894,"12.450000000000001":4.9046146275,"12.46":4.8146133495,"12.47":4.7236758185,"12.48":4.6187684285,"12.49":4.5232356753,"12.5":4.438239257,"12.51":4.3544882114,"12.52":4.2717723442,"12.530000000000001":4.2010289061,"12.540000000000001":4.1446725633,"12.55":4.0889202752,"12.56":4.0521300615,"12.57":4.0177700438,"12.58":3.9783732069,"12.59":3.9372802736,"12.6":3.9107118558,"12.61":3.8885988961,"12.620000000000001":3.860014406,"12.63":3.8247608706,"12.64":3.7828419916,"12.65":3.7344735723,"12.66":3.6800855206,"12.67":3.6203149256,"12.68":3.5559905809,"12.69":3.4999441618,"12.700000000000001":3.4457133894,"12.71":3.3918355526,"12.72":3.3393256001,"12.73":3.2891311094,"12.74":3.2424171762,"12.75":3.2000554316,"12.76":3.1785442015,"12.77":3.1659831357,"12.780000000000001":3.1604178889,"12.790000000000001":3.1516535554,"12.8":3.1202819038,"12.81":3.0852629472,"12.82":3.0417945749,"12.83":2.986367326,"12.84":2.9306602207,"12.85":2.8830350579,"12.86":2.8448005001,"12.870000000000001":2.8410325233,"12.88":2.8897405981,"12.89":2.9601165556,"12.9":3.0505962169,"12.91":3.1602741898,"12.92":3.2857853618,"12.93":3.425293354,"12.94":3.5772518512,"12.950000000000001":3.7382714874,"12.96":3.9063251156,"12.97":4.0788207731,"12.98":4.2515808098,"12.99":4.4199782927,"13.0":4.5748630517,"13.01":4.7141759318,"13.02":4.8385407665,"13.030000000000001":4.946338057,"13.040000000000001":5.0402724374,"13.05":5.1203537967,"13.06":5.1925468875,"13.07":5.2507390845,"13.08":5.2955611328,"13.09":5.330755465,"13.1":5.3555235055,"13.11":5.3690525276,"13.120000000000001":5.3716383057,"13.13":5.3616686137,"13.14":5.3391172936,"13.15":5.2990463734,"13.16":5.2439568859,"13.17":5.1779257196,"13.18":5.1005963081,"13.19":5.0132353569,"13.200000000000001":4.9186131502,"13.21":4.8173056338,"13.22":4.7115947444,"13.23":4.6042549541,"13.24":4.500338151,"13.25":4.4005384169,"13.26":4.303175046,"13.27":4.2189538327,"13.280000000000001":4.1360126462,"13.290000000000001":4.0613079451,"13.3":4.003624722,"13.31":3.9488473625,"13.32":3.8975022056,"13.33":3.8472837893,"13.34":3.8153336468,"13.35":3.8010021095,"13.36":3.7893366355,"13.370000000000001":3.779931613,"13.38":3.7364888197,"13.39":3.6610925557,"13.4":3.5963319804,"13.41":3.5438662468,"13.42":3.5042866729,"13.43":3.4778110101,"13.44":3.4645022631,"13.450000000000001":3.4642895905,"13.46":3.4770175541,"13.47":3.5023532335,"13.48":3.5398868125,"13.49":3.5885660076,"13.5":3.6432831804,"13.51":3.6364350936,"13.52":3.6217732026,"13.530000000000001":3.6197950957,"13.540000000000001":3.6202042897,"13.55":3.6236119219,"13.56":3.6446051181,"13.57":3.6740623975,"13.58":3.7096444884,"13.59":3.7517411496,"13.6":3.8007788609,"13.61":3.87145428,"13.620000000000001":3.9489047876,"13.63":4.0484101512,"13.64":4.1732178018,"13.65":4.3255711983,"13.66":4.5054922773,"13.67":4.7069615291,"13.68":4.9297820405,"13.69":5.1687231604,"13.700000000000001":5.4185736142,"13.71":5.6754339017,"13.72":5.9335263255,"13.73":6.1859747794,"13.74":6.425884061,"13.75":6.6459214726,"13.76":6.8454249136,"13.77":7.0316522381,"13.780000000000001":7.202216074,"13.790000000000001":7.3548557773,"13.8":7.4874873003,"13.81":7.5982522793,"13.82":7.6855650138,"13.83":7.7481559393,"13.84":7.7816821912,"13.85":7.7843248409,"13.86":7.762417853,"13.870000000000001":7.7191764168,"13.88":7.6564050617,"13.89":7.5754361413,"13.9":7.4682973191,"13.91":7.3345821118,"13.92":7.1826845059,"13.93":7.014662166,"13.94":6.8338634253,"13.950000000000001":6.6443760849,"13.96":6.4376895316,"13.97":6.2145380565,"13.98":5.9840828952,"13.99":5.7546003589,"14.0":5.533538567,"14.01":5.3272034854,"14.02":5.1414824742,"14.030000000000001":4.9787764311,"14.040000000000001":4.8418074755,"14.05":4.7137318485,"14.06":4.6072142159,"14.07":4.5258043933,"14.08":4.468912491,"14.09":4.4289210889,"14.1":4.4091222501,"14.11":4.3836600379,"14.120000000000001":4.376410767,"14.13":4.3824595101,"14.14":4.4043637803,"14.15":4.4493968686,"14.16":4.4877919999,"14.17":4.5111609672,"14.18":4.5300915852,"14.19":4.5436085627,"14.200000000000001":4.5169277053,"14.21":4.4798926493,"14.22":4.4478632977,"14.23":4.4205799425,"14.24":4.3978788432,"14.25":4.3801401346,"14.26":4.3675467855,"14.27":4.3603688515,"14.280000000000001":4.3590070143,"14.290000000000001":4.3041146367,"14.3":4.2355762537,"14.31":4.1638239107,"14.32":4.0902184392,"14.33":4.0160952198,"14.34":3.9716544443,"14.35":3.9310916431,"14.36":3.8897512288,"14.370000000000001":3.8522735138,"14.38":3.8189835013,"14.39":3.7900674677,"14.4":3.7654166785,"14.41":3.7444272691,"14.42":3.7208189639,"14.43":3.7010129717,"14.44":3.6842872419,"14.450000000000001":3.6700753356,"14.46":3.6587316034,"14.47":3.647064506,"14.48":3.6306631475,"14.49":3.6154355948,"14.5":3.598938728,"14.51":3.5804102807,"14.52":3.5591957868,"14.530000000000001":3.5336711999,"14.540000000000001":3.4989685199,"14.55":3.4608755243,"14.56":3.4191941664,"14.57":3.3739399451,"14.58":3.3253425226,"14.59":3.2722769871,"14.6":3.2142061438,"14.61":3.1547113154,"14.620000000000001":3.098293827,"14.63":3.0447522884,"14.64":2.989529769,"14.65":2.9379993624,"14.66":2.8916606974,"14.67":2.8512795966,"14.68":2.8184580517,"14.69":2.7960417228,"14.700000000000001":2.7853987655,"14.71":2.7875214323,"14.72":2.8006213039,"14.73":2.826986399,"14.74":2.8611101227,"14.75":2.9063057167,"14.76":2.9536963562,"14.77":3.0089500789,"14.780000000000001":3.0675026038,"14.790000000000001":3.119086025,"14.8":3.1757664406,"14.81":3.2236544282,"14.82":3.2529310906,"14.83":3.2871680057,"14.84":3.3213210299,"14.85":3.3555744679,"14.86":3.4030300565,"14.870000000000001":3.4447480308,"14.88":3.4828381658,"14.89":3.516603456,"14.9":3.5459858654,"14.91":3.5730483397,"14.92":3.5950057337,"14.93":3.6117065908,"14.94":3.6231398792,"14.950000000000001":3.6294314277,"14.96":3.630836331,"14.97":3.6277276232,"14.98":3.6205816395,"14.99":3.6099606005,"15.0":3.5964930406}} \ No newline at end of file diff --git a/tests/test_NMF_analysis_code.py b/tests/test_NMF_analysis_code.py index 971ca95..adf32d4 100644 --- a/tests/test_NMF_analysis_code.py +++ b/tests/test_NMF_analysis_code.py @@ -1,62 +1,61 @@ -import os -import tempfile +import shutil +from os.path import exists, join from pathlib import Path -from shutil import rmtree import pytest from diffpy.nmf_mapping.main import main dir = Path(__file__).parent.resolve() - -data_dir = os.path.join(dir, "data/synthetic_r_vs_gr") - -test_map = [ - ([data_dir, "--xrange", "5,10"], "output_1", "Number of components: 3\n"), - ([data_dir], "output_2", "Number of components: 3\n"), - ([data_dir, "--xrange", "5,10", "12,15"], "output_3", "Number of components: 3\n"), -] - - -@pytest.fixture(scope="session") -def temp_dir(): - """A test fixture that creates and destroys tes outputs in a temporary - directory. - This will yield the path to the directory. - """ - cwd = os.getcwd() - name = "outputs" - temp_dir = Path(tempfile.gettempdir()) - repo = os.path.join(temp_dir, name) - if os.path.exists(repo): - rmtree(repo) - os.chdir(temp_dir) - os.mkdir(name) - os.chdir(cwd) - yield repo - os.chdir(cwd) - rmtree(repo) - - -@pytest.mark.parametrize("tm", test_map) -def test_nmf_mapping_code(tm, temp_dir, capsys): - data_dir = tm[0] - working_dir = Path(temp_dir) - os.chdir(working_dir) - main(args=data_dir) - out, err = capsys.readouterr() - assert out == tm[2] - results_dir = os.path.join(working_dir, "nmf_result") - os.chdir(results_dir) - expected_base = os.path.join(os.path.dirname(__file__), "output") - test_specific_dir = os.path.join(expected_base, tm[1]) - for root, dirs, files in os.walk("."): - for file in files: - if file in os.listdir(test_specific_dir): - fn1 = os.path.join(results_dir, file) - with open(fn1, "r") as f: - actual = f.read() - fn2 = os.path.join(test_specific_dir, file) - with open(fn2, "r") as f: - expected = f.read() - assert expected == actual +data_dir = join(dir, "data/synthetic_r_vs_gr") + + +@pytest.mark.parametrize( + "args, output_dir", + [ + (["tests/data/synthetic_r_vs_gr", "--xrange", "5,10", "--show", "false"], "output_1"), + (["tests/data/synthetic_r_vs_gr", "--show", "false"], "output_2"), + (["tests/data/synthetic_r_vs_gr", "--xrange", "5,10", "12,15", "--show", "false"], "output_3"), + ], +) +def test_nmf_mapping_code(args, output_dir, tmpdir): + + # Save the result in ("nmf_result") at the top project level (default behavior) + main(args=args) + + # Define the copied results directory in tmpdir + tmp_results_dir = join(tmpdir, "nmf_result") + expected_output_dir = join("tests/output", output_dir) + + # Copy the output to tmpdir + shutil.copytree("nmf_result", tmp_results_dir) + + # Remove the nmf_result folder from the top project level + shutil.rmtree("nmf_result") + + # Define the specific JSON files to check + json_files_to_check = [ + "component_index_vs_pratio_col.json", + "component_index_vs_RE_value.json", + "x_index_vs_y_col_components.json", + ] + + # Compare each specified .json file + for json_file in json_files_to_check: + # Define paths for actual and expected .json files + actual_file_path = join(tmp_results_dir, json_file) + expected_file_path = join(expected_output_dir, json_file) + + # Ensure the file exists in both locations + assert exists(actual_file_path) + assert exists(expected_file_path) + + # Read and compare file contents + with open(actual_file_path, "r") as actual_file: + actual = actual_file.read() + + with open(expected_file_path, "r") as expected_file: + expected = expected_file.read() + + # Assert that the contents match + assert actual == expected