{"text_format":"1","workbook":"xlsx","n_sheets":22,"sheets":["Input","Mu","Ig_1","Igh_1","Ig_2","Igh_2","Ig_3","Igh_3","Ig_4","Igh_4","Ig_5","Igh_5","Ig_6","Igh_6","Ig_7","Igh_7","Ig_8","Igh_8","Ig_9","Igh_9","Ig_10","Igh_10"],"not_rendered":{"charts":3,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Input","index":0,"n_rows":18,"n_cols":93,"rows_kept":18,"cut":false,"hidden":false,"merged":[[17,0,17,1],[0,10,0,12],[10,2,10,3],[11,2,11,3]]}
["Set n =",20,null,null,"L","Ig Num","Igh Num",null,"t","Mu","<- Convergent values",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Mu( t = 2100 )"]
["L = Int(n / 2)",10,null,null,1,1,1,null,73,0.11498062288764915,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.15592530146460465]
["alpha",4.5,null,null,2,2,3,null,73,0.29854728074959153,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.3812857186726761E-2]
["beta",3,null,null,3,3,8,null,72,0.9686527659960571,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.5911540669250249E-2]
["Tbar",6.4409999999999995E-2,null,null,4,5,20,null,72,4.833553200882994]
["sigmaT",0.65120924300000005,null,null,5,7,47,null,71,26.431910009491567]
["t0",6.4409999999999995E-2,null,null,6,11,106,null,71,194.89480146184815]
["adjVar",7.6546899999999996E-4,null,null,7,15,231,null,70,1503.3158648602903]
["dt",1,null,null,8,22,490,null,69,14128.189158125577]
["F",4.1582795999999998E-2,null,null,9,30,1015,null,68,142028.1647658541]
["accuracy",5.0000000000000001E-4,"*Determine convergence",null,10,42,2064,null,67,1620955.7081203635]
["step",1,"*Loop step for t"]
[]
["*** Please Input n"]
["*** Remember L = Int (n/2)"]
[]
[]
["*** Only Keep Sheet(\"Input\")"]

{"sheet":"Mu","index":1,"n_rows":74,"n_cols":14,"rows_kept":74,"cut":false,"hidden":false,"merged":[]}
["Moment -> ",2,4,6,8,10,12,14,16,18,20,null,"Diff2 of N = 20","Diff% of N = 20"]
["t = 1",1.8308058884889117E-5,4.6664172513336067E-5,1.4869276034500014E-4,7.3630059287485908E-4,3.9437045791220482E-3,2.892971089726935E-2,0.21811702816024711,2.0369792682158945,20.081035361673823,226.88423498623419]
["t = 2",1.4245462794713792E-4,3.6372308510516861E-4,1.1614268840763613E-3,5.7582018906683474E-3,3.0937415009793863E-2,0.22723486665961079,1.7202848003644671,16.094642026757811,159.33765291334333,1805.2152421464207,null,null,{"$f":"(K3-K2)/K3","v":0.87431735025876123}]
["t = 3",4.698132733392027E-4,1.201668955399257E-3,3.8461937921721702E-3,1.9098402428314072E-2,0.10299640577733744,0.75781917940884269,5.7661910660547884,54.076469334308776,538.162369538907,6118.0287101097028,null,{"$f":"((K4-K3)-(K3-K2))","v":2734.4824608030958},{"$f":"(K4-K3)/K4","v":0.7049351469757893}]
["t = 4",1.0919099157379072E-3,2.7978609954935124E-3,8.978367923863877E-3,4.4663564761460953E-2,0.24189612662577004,1.7834706561143889,13.64764129584616,128.3333909653189,1284.3906160549568,14653.771873596172,null,{"$f":"((K5-K4)-(K4-K3))","v":4222.9296955231875},0.58249461211188613]
["t = 5",2.0928903087328891E-3,5.3725092731689806E-3,1.7288302444708383E-2,8.6175981899341558E-2,0.46887471396662,3.4646250005898707,26.669794616468277,251.45630695679429,2530.670327297732,28969.120786892014,null,5779.6057498093724,0.49415890177009686]
["t = 6",3.5431176974375662E-3,9.1119655845501111E-3,2.940636950583024E-2,0.14689351414219709,0.80301406630542493,5.9467784595438307,46.043154526085793,435.18241865777173,4402.1873476113724,50538.216134962677,null,7253.746434774821,0.42678782508805291]
["t = 7",5.4915476191671969E-3,1.4148518906841743E-2,4.5794194776910192E-2,0.22924861254344234,1.2590460813335449,9.3431841630961152,72.731527554995409,688.87592050283808,6999.8576439926846,80551.936119994585,null,8444.6246369612454,0.37260085145963251]
["t = 8",7.9601608071072638E-3,2.0545149130316905E-2,6.6689574561044018E-2,0.33454632952479019,1.8453916983550716,13.719178808851316,107.31057605434209,1018.1322132034976,10384.956389211511,119736.9454068604,null,9171.2893018339018,0.32725913588088479]
["t = 9",1.0942069267513945E-2,2.8289577918914319E-2,9.2080399903080493E-2,0.46280540596613234,2.5629853819297082,19.082659606058737,149.87823993666078,1423.9086579923533,14569.474957389679,168242.52569669462,null,9320.5710029684124,0.28830748997004146]
["t = 10",1.4403358244091712E-2,3.7298034038623674E-2,0.12171076823630352,0.61276726467690334,3.4051158008041256,25.38266390950664,200.03600252290332,1902.3536777388481,19513.990427565066,225614.51824738274,null,8866.4122608539037,0.25429211292059073]
["t = 11",1.8287778539218317E-2,4.7426679663632815E-2,0.15511424942429394,0.78205407802248261,4.3582337120462276,32.51566048000997,256.93847175346508,2445.2959436144638,25132.639751147028,290851.68259513134,null,7865.1717970604659,0.22429701546048617]
["t = 12",2.252305334437308E-2,5.8487642499177789E-2,0.19166525433601428,0.96743208371301748,5.4034853180753242,40.337550506590304,319.39389955339885,3041.2195892838977,31303.390469834696,362524.31662108417,null,6435.4696782042447,0.19770434903230544]
["t = 13",2.7027625390769628E-2,7.0266635404421532E-2,0.23063861899607374,1.1651274593467142,6.518637774076625,48.678664431347798,385.99181826620276,3676.4970216791426,37881.212031298463,438928.00360473053,null,4731.0529576935223,0.174068836702546]
["t = 14",3.1716943561596135E-2,8.2539746616838869E-2,0.27126869505604884,1.3711453009064578,7.6800641213480896,57.359113318764997,455.23461318709286,4336.6598464266926,44711.79799081196,518245.26602461969,null,2913.5754362427979,0.15304966127007733]
["t = 15",3.6508722326278123E-2,9.5087785770249525E-2,0.31280145996581643,1.5815532014003026,8.8645211282582252,66.202436957872294,525.65491933155045,5007.5357555316305,51643.94570411359,598692.63339857536,null,1130.1049540665117,0.13437173415226977]
["t = 16",4.1326911963018922E-2,0.1077073454477311,0.3545357095717182,1.7927053265410264,10.050551405690122,75.04628550966035,595.90759770038721,5676.1426267112965,58539.355986412033,678637.98018514016,null,-502.02058739087079,0.11780264164518879]
["t = 17",4.6104351139643264E-2,0.12021836833196425,0.39585177279923972,2.0013971165394473,11.219440349277932,83.74964213178545,664.83174396288996,6331.2938578051426,65279.29512088382,756680.93138346705,null,-1902.3955882379087,0.10313851976636725]
["t = 18",5.0784227210919283E-2,0.13246845597627629,0.43622808566251697,2.2049523226546017,12.355738785361208,92.196701345429361,731.48353832598923,6963.9204046127961,71768.13894443633,831696.08453931997,null,-3027.7980424739653,9.0195390540288689E-2]
["t = 19",5.532055269027028E-2,0.14433442280361281,0.47524724453148987,2.401251846485366,13.447414983900991,100.2979101113127,795.14428020627668,7567.1499834219803,77934.223727485019,902843.80886566592,null,-3867.4288295069709,7.8804023052155656E-2]
["t = 20",5.9677895338292333E-2,0.15572171800949808,0.51259383211179466,2.5887177614831982,14.485725316979341,107.98886568305277,855.30969672761444,8136.2019537249389,83728.645432985562,969556.16491522826,null,-4435.3682767836144,6.8807108307537029E-2]
["t = 21",6.383059175176449E-2,0.1665623474837844,0.54804647683547159,2.7662666732314429,15.464896918570549,115.22779052030229,911.66691351083671,8668.1602507871539,89122.70280737913,1031506.2798752352,null,-4762.2410895554349,6.0057913527681112E-2]
["t = 22",6.7761645472534188E-2,0.17681186630694093,0.58146641730228965,2.9332452392148713,16.381705706655143,121.99222552131481,964.0648026496184,9161.6807223830328,94104.617665218422,1088568.8532719505,null,-4887.5415632915683,5.2419810860103437E-2]
["t = 23",7.1461472107465895E-2,0.18644591295558427,0.61278445143282512,3.0893582161915121,17.235016032507314,128.2754503456992,1012.4822394045955,9616.6778436467885,98676.039173640107,1140777.9778066343,null,-4853.4488620315678,4.5766245097986449E-2]
["t = 24",7.4926613748331608E-2,0.19545664436028859,0.64198768286902352,3.2345966173868907,18.025329331463183,134.08299348811715,1056.9974752448493,10034.022759615833,102848.69147279195,1188286.6803337727,null,-4700.4220075453632,3.9980842429197215E-2]
["t = 25",7.8158507977996422E-2,0.20384932351778373,0.66910702436923208,3.3691709554358251,18.754371833319038,139.42946073475358,1097.7606148278521,10415.272466805138,106641.38563951495,1231330.8991801024,null,-4464.4836808086839,3.4957474773833153E-2]
["t = 26",8.116236544447894E-2,0.21163921837349536,0.69420603084386834,3.4934523880791968,19.424737329658697,144.33580176674539,1134.9701954052123,10762.440046033629,110077.50408772439,1270199.2267333556,null,-4175.8912930765655,3.0600182030667007E-2]
["t = 27",8.3946185226369679E-2,0.21884889644022557,0.71737133401289377,3.6079229581270793,20.039590651481916,148.82705470516038,1168.8541466437532,11077.808630477128,113182.98333652419,1305208.733508931,null,-3858.8207776776981,2.6822917956927615E-2]
["t = 28",8.6519918813907304E-2,0.22550594450394332,0.73870473654728763,3.7131350000590118,20.602430605527381,152.93055525973068,1199.6549382142841,11363.787074677502,115984.76791139549,1336686.5340422778,null,-3531.7062422286253,2.3549126688779246E-2]
["t = 29",8.8894780731426926E-2,0.23164110486587428,0.75831688462352487,3.8096790892930543,21.116907020488334,156.67456595304671,1227.6184551650019,11622.802623334474,118509.678644603,1364956.3918439071,null,-3207.9427317176014,2.0711180203669174E-2]
["t = 30",9.1082695626151108E-2,0.23728679585370149,0.77632235812864037,3.8981595356605094,21.586684542683258,160.08726597681709,1252.9860229159035,11857.224717841913,120783.62642376754,1390329.5116523879,null,-2896.7379931483883,1.8249716772770815E-2]
["t = 31",9.3095867007787603E-2,0.2424759715082494,0.79283598115572196,3.9791762744519965,22.015345231265314,163.19603836738881,1275.9889848975624,12069.313918827944,122831.10159733666,1413098.6591054325,null,-2603.9723554363009,1.6112921278588318E-2]
["t = 32",9.4946450791508707E-2,0.24724127035460841,0.80797014787380683,4.053312007127027,22.406322297640052,166.02699411753255,1296.8452763317862,12261.190356977404,124674.87503362088,1433534.8216066947,null,-2332.9849517822731,1.4255783810230417E-2]
["t = 33",9.6646316566336807E-2,0.25161440341871905,0.8218329692454317,4.1211235289427499,22.762858113504272,168.60467942969379,1315.757508183299,12434.816855365538,126335.85581197194,1451885.7368512412,null,-2085.247256715782,1.2639366018117101E-2]
["t = 34",9.8206880436631991E-2,0.25562573512907338,0.83452706626480866,4.1831363095121246,23.08798060305508,170.95192041932228,1332.9121563676301,12591.992696810888,127833.06043927578,1468375.7390931642,null,-1860.913002623478,1.1230097176698699E-2]
["t = 35",9.9638994876399239E-2,0.25930401595480984,0.8461488598137844,4.2398415362435422,23.384493163538448,173.08976784808004,1348.4795309844371,12734.354819877579,129183.65798925718,1483206.4911906903,null,-1659.2501443969086,9.9991148809093003E-3]
["t = 36",0.10095288294090879,0.26267623153614678,0.856788232298337,4.2916949722668676,23.654974223885034,175.03751214079668,1362.6142722559571,12863.383953685734,130403.06396633784,1496558.2743059278,null,-1478.9689822886139,8.9216593462955931E-3]
["t = 37",0.10215810615563443,0.26576753898063155,0.86652845981762039,4.3391171100715358,23.901783403376299,176.81274564760338,1375.4561812304494,12980.413818179122,131505.06273594245,1508591.5937300003,null,-1318.4636911649723,7.9765255713244894E-3]
["t = 38",0.10326355729422954,0.26860126652003546,0.87544633463104782,4.3824942151214126,24.12707195300198,178.43145473560037,1387.1312436424455,13086.642019042229,132501.94402980912,1519448.928665502,null,-1175.9844885708299,7.1455741161615995E-3]
["t = 39",0.10427747097543996,0.27119895763119639,0.88361241569152216,4.4221799488841835,24.332795752401083,179.90812886058077,1397.7527453232315,13183.141663407278,133404.64345270605,1529256.5075832785,null,-1049.7560177252162,6.4132987952921156E-3]
["t = 40",0.10520744651028544,0.27358044493443073,0.89109135998263989,4.45849733867077,24.520729606329787,181.25587738315255,1407.4224085327344,13270.87302789071,134222.88026900392,1538126.0313357692,null,-938.05516528571025,5.7664479839718424E-3]
["t = 41",0.10606047870341735,0.27576394269305399,0.89794229954425298,4.491740924082845,24.692481952288194,182.48654769055008,1416.2315020254462,13350.694839955017,134965.28822795826,1546156.2960185113,null,-839.25906974868849,5.1936952967954839E-3]
["t = 42",0.10684299336424451,0.27776614959469703,0.90421923872113386,4.5221789588175598,24.849509372242448,183.61084030638992,1424.2618950181629,13423.374902127265,135639.53697741969,1553434.688920045,null,-751.87178120831959,4.6853549450435678E-3]
["t = 43",0.10756088513348983,0.27960235577225534,0.90997145368989951,4.55005558425594,24.993130512436032,184.63841824689607,1431.587037791269,13489.599909499964,136252.44287479087,1560038.545761581,null,-674.536059997743,4.2331369692613138E-3]
["t = 44",0.10821955590431806,0.28128654980237594,0.915243882073002,4.5755929197282397,25.124539170505376,185.57800902924438,1438.2728605296325,13549.984395397903,136810.06886231658,1566036.3674298418,null,-606.03517327527516,3.8299376649242678E-3]
["t = 45",0.1088239526406717,0.28283152278502188,0.92007749476923228,4.598993035445627,25.244816420793107,186.43749855301891,1444.3785880958537,13605.07879722211,137317.81363600615,1571488.900844594,null,-545.28825350850821,3.4696607859093171E-3]
["t = 46",0.10937860379478803,0.28424896763568602,0.92450964531110258,4.6204397893929379,25.354941727062865,187.22401663908153,1449.9574724472275,13655.376671490585,137780.49068540341,1576450.0924809859,null,-491.34177836030722,3.1470654605906937E-3]
["t = 47",0.10988765382466778,0.28554957248039975,0.92857439435008793,4.6401005203118162,25.455803044992795,187.9440143853046,1455.0574469205826,13701.321109580145,138202.39797752147,1580967.9251491509,null,-443.35896822693758,2.8576371451297842E-3]
["t = 48",0.11035489553119367,0.28674310759102639,0.93230280847722236,4.6581275963419388,25.548205951377085,188.60333373570751,1459.7217080469616,13743.31041789359,138587.37914944175,1585085.1494881934,null,-400.6083291224204,2.5974783375971719E-3]
["t = 49",0.11078380009125327,0.28783850568303349,0.93572323367644772,4.6746598237917301,25.632881857981864,189.20726979736668,1463.9892312467694,13781.703131324824,138938.87709490035,1588839.9216752606,null,-362.45215197536163,2.3632161653567925E-3]
["t = 50",0.11117754477211174,0.28884393565941707,0.93886154441412673,4.689823723553709,25.710495379373761,189.76062650740889,1467.8952269365884,13816.822429322834,139259.98080574247,1592266.3583825552,null,-328.33547977264971,2.1519243242538672E-3]
["t = 51",0.11153903838523005,0.28976687005437307,0.94174136979476863,4.7037346843888672,25.781650928722581,190.2677662726316,1471.4715434291229,13848.96002127553,139553.46627729741,1595395.0192480602,null,-297.77584178955294,1.9610571850597791E-3]
["t = 52",0.1118709445840643,0.29061414653331469,0.94438429844013505,4.7164980030764907,25.84689861575897,190.73265419303658,1474.7470226542923,13878.379563562394,139821.83222001768,1598253.3262056506,null,-270.3539079145994,1.7883941867815074E-3]
["t = 53",0.11217570313742642,0.29139202386106167,0.94681006383737021,4.7282098215602968,25.906739518352005,191.15889744964329,1477.7478142622679,13905.319665308623,140067.33124659152,1600865.928045453,null,-245.70511778793298,1.6319929071088842E-3]
["t = 54",0.11245554932337846,0.29210623277201037,0.9490367118971974,4.7389579709404419,25.961630394720462,191.54978039483112,1480.4976531505213,13929.996534197675,140291.99712988758,1603255.017610559,null,-223.51227469649166,1.4901494390247368E-3]
["t = 55",0.11271253159256779,0.29276202217557701,0.95108075239845724,4.7488227316223055,26.011987897910675,191.90829583590244,1483.0181049273137,13952.606308035987,140497.66865596824,1605440.6081197909,null,-203.49905587406829,1.3613649101548212E-3]
["t = 56",0.11294852764759281,0.29336420111525152,0.95295729589474498,4.7578775182524966,26.058192348430428,192.23717295360632,1485.328783310857,13973.327112359326,140686.01053019185,1607440.7742615077,null,-185.42436751513742,1.2443171616295986E-3]
["t = 57",0.11316525907867656,0.29391717687584329,0.95468017753914403,4.7661894973276127,26.100591115186155,192.53890224950851,1487.4475429818935,13992.320879355431,140858.53173410959,1609271.8629400898,null,-169.07746313465759,1.1378367575735548E-3]
["t = 58",0.11336430468730234,0.29442498960507485,0.95626206915598133,4.7738201446060424,26.139501649369471,192.81575787095758,1489.3906509667288,14009.734958827332,141016.60167692968,1610948.6778782525,null,-154.27374041941948,1.0408866285989849E-3]
["t = 59",0.11354711261965904,0.29489134378529902,0.95771458076158855,4.7808257487206056,26.175214210811859,193.06981762081583,1491.1729392310065,14025.703547852603,141161.46443765657,1612484.6416820223,null,-140.85113439289853,9.5254476480941008E-4]
["t = 60",0.11371501142155697,0.29531963686067442,0.95904835261428278,4.7872578667013945,26.207994321646773,193.30298092151526,1492.8079408123115,14040.348962201864,141294.25135235672,1613891.9384564059,null,-128.66702938615344,8.7198946896632507E-4]
["t = 61",0.1138692201164177,0.29571298529579954,0.96027313875996545,4.7931637364844386,26.238084977908951,193.51698496941037,1494.3080115099015,14053.782769436863,141415.99216487029,1615181.639611477,null,-117.59561931248754,7.9848676052396016E-4]
["t = 62",0.11401085739832309,0.29607424831423373,0.96139788293524975,4.7985866509071462,26.265708645954959,193.71341928570442,1495.6844388796487,14066.106800877424,141527.62492812355,1616363.8151135363,null,-107.52565301186405,7.3137958855893129E-4]
["t = 63",0.11414095002315117,0.29640604953999111,0.96243078759567902,4.803566297177424,26.291069067289573,193.89373884419831,1496.9475400480605,14077.41405726984,141630.00481649666,1617447.6321070381,null,-98.358508557546884,6.7007856822533089E-4]
["t = 64",0.11426044047255027,0.29671079674193429,0.96337937675171559,4.8081390653449851,26.314352892482219,194.05927593335187,1498.1067496566784,14087.789520957465,141723.91198682346,1618441.442552147,null,-90.006548392819241,6.1405400218976134E-4]
["t = 65",0.11437019395802847,0.29699069986025312,0.96425055322006936,4.8123383289004229,26.335731162336597,194.21125089043818,1499.1706990743039,14097.310885617262,141810.05860616438,1619352.8612849233,null,-82.391712332610041,5.6282898839794219E-4]
["t = 66",0.11447100482565188,0.29724778747553759,0.96505065083107266,4.8161947002714509,26.355360652274225,194.35078182843631,1500.1472878647501,14106.049213133831,141889.09514788669,1620188.8357044808,null,-75.444313218817115,5.1597344774567352E-4]
["t = 67",0.11456360241578327,0.29748392186436778,0.96578548207401094,4.8197362636741987,26.373385093985199,194.47889346151234,1501.0437483696128,14114.069525910209,141961.61604351719,1620955.7081203635,null,-69.102003674721345,{"$f":"(K68-K67)/K68","v":4.7309893295728736E-4}]
["t = 68",0.11464865642687121,0.2977008127705999,0.96646038161049586,4.822988787504416,26.389936286743048,194.59652512214782,1501.8667041556037,14121.431341826319,142028.1647658541]
["t = 69",0.11472678182746437,0.29790003000843895,0.96708024604035048,4.8259759182143993,26.405135109344254,194.70453805191522,1502.6222229816926,14128.189158125577]
["t = 70",0.11479854335630882,0.29808301500176959,0.96764957026429044,4.8287193574117637,26.41909244238326,194.80372203831948,1503.3158648602903]
["t = 71",0.11486445964655541,0.29825109135393824,0.96817248075238127,4.8312390237329357,26.431910009491567,194.89480146184815]
["t = 72",0.11492500700667928,0.29840547453303812,0.9686527659960571,4.833553200882994]
["t = 73",0.11498062288764915,0.29854728074959153]

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