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{"sheet":"ELD metalog","index":0,"n_rows":10046,"n_cols":148,"rows_kept":562,"cut":true,"hidden":false,"merged":[[51,4,54,9],[55,4,76,9],[79,4,110,9],[2,2,4,25],[27,2,31,2],[8,13,9,21],[7,1,9,2],[10,1,10,2]],"bounds":{"rows_first":250,"rows_last":62,"rows_between":250,"halvings":3}}
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[null,"Metalog distributions. Prepared by Thomas Keelin, July, 2022.",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,"        reference probabilities y in use for quantile parameters q"]
[null,null,"To generate metalog distributions, To generate metalog distributions, paste your x-data  into the yellow-highlighed cells in C34:C10033 below. Your data may contain 2-10,000 entries (all cells  below your last entry must be blank). The metalog panel dispalys feasible metalog distributions for 2-16 terms (a blank graph is infeasible or not applicable). This workbook is licensed under the Creative Commons Attribution 4.0. International License, CC-BY. So long as you provide attribution to Thomas Keelin and www.metalogs.org, you may copy it, make derivative works, and use it freely, including for commercial purposes. This workbook contains no macros or named ranges. This worksheet may be safely copied into other Excel workbooks while retaining its full functionality by right clicking \"ELD metalog\" sheet name at bottom. While we believe all calculations are correct, we assume no liability for errors.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"n=2","n=3","n=4","n=5","n=6","n=7","n=8","n=9","n=10","n=11","n=12","n=13","n=14","n=15","n=16"]
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[null,"light yellow: required inputs",null,null,null,null,null,null,null,"light blue: optional inputs",null,null,null,null,null,null,null,null,"light green: do not modify cell contents",null,null,null,null,null,null,null,null,null,0.9,0.5,0.5,0.25,0.25,0.1,0.1,0.05,0.05,0.05,0.05,0.03,0.01,0.01]
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[null," bounds (u = unbounded, sl = semibounded lower, su = semibounded upper, b = bounded).",null,null,null,null,null,null,null,null,null,null,null,"messages",null,null,null,null,null,null,null,null,null,"information",null,null,null,null,null,null,0.9,0.75,0.75,0.5,0.5,0.25,0.25,0.25,0.25,0.1,0.1,0.1]
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[null,"boundedness",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":0.01},3.6944683331743895,1.3068366558671296,null,null,null,null,null,null,null,null,0.999,0.95,0.9,0.75,0.75,0.65,0.65,0.65]
[null,"metalog specifications",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":0.05},4.4976466405617188,1.5035542912163522,null,null,null,null,null,null,null,null,null,0.999,0.95,0.9,0.9,0.75,0.75,0.75]
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[null,"parameters","for display",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":0.25},7.237294252017147,1.9792474144490391,null,null,null,null,null,null,null,null,null,null,null,0.999,0.98,0.9,0.95,0.95]
[null,{"$f":"\"(2-\" & ROWS(AB28:AC10027) & \")\"","v":"(2-10000)"},"(2-16)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":0.5},9.8179726849037614,2.284214653487334,null,null,null,null,null,null,null,null,null,null,null,null,0.999,0.95,0.97,0.97]
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[null,null,"terms",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":0.9},15.250533816871402,2.7246145068257914,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.999,0.995]
[null,{"$f":"IF(OR(B11=\"b\",B11=\"sl\"),\"lower bound\",\"\")","v":"lower bound"},0,"bl",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":0.95},17.971525309371252,2.8887885780709333,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.999]
[null,{"$f":"IF(OR(B11=\"su\",B11=\"b\"),\"upper bound\",\"\")","v":""},40,"bu",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":0.999},30.891981332355648,3.4304966464194999]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":""},"","",null,"         intermediate calcualations (do not modify)"]
[null,"regularization",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":""},"",""]
[null," (0,1, …, 10)",0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":""},"",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":""},"","",null,"metalog distributions (y = probability, Mn = x = quantile function, mn = y' = probability density function)"]
[null,"source","Tom Keelin",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":""},"","",null,"input parameters",null,null,null,null,"metalog quantile functions Mn and density functions mn with user-specified bounds",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"unbounded metalog",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"feasibility requirement (mn>0 for all yi) satisfied",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"matrix inversion successful",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"validity of input data",null,null,"messages"]
[null,"field","fish biology",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$17,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$17-1))","v":""},"","",null,"y","x",null,{"$f":"\"large plots (n = \" & C17 & \")\"","v":"large plots (n = 10)"},null,{"$f":"IF($B$11=\"u\",\"\",IF($B$11=\"sl\",\"        log\",IF($B$11=\"b\",\"          logit\",\"\")))","v":"        log"},"        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log","        log",null,"quantile functons",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"density functions",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(DH26=\"\",DH26=\"no\"),\"\",IF(AND(DH26=\"yes\",MIN(CQ31:CQ135)>0),\"yes\",\"no\"))","v":"yes"},"yes","yes","yes","yes","yes","yes","yes","yes","yes","yes","yes","yes","yes","yes",null,null,{"$f":"IF(EC90=\"\",\"\",IF(OR(EC90=\"determ\",EC90=\"error\"),\"no\",\"yes\"))","v":"yes"},"yes","yes","yes","yes","yes","yes","yes","yes","yes","yes",{"$f":"IF(EN90=\"\",\"\",IF(OR(EN90=\"determ\",EN90=\"error\"),\"no\",\"yes\"))","v":"yes"},{"$f":"IF(EO90=\"\",\"\",IF(OR(EO90=\"determ\",EO90=\"error\"),\"no\",\"yes\"))","v":"yes"},{"$f":"IF(EP90=\"\",\"\",IF(OR(EP90=\"determ\",EP90=\"error\"),\"no\",\"yes\"))","v":"yes"},{"$f":"IF(EQ90=\"\",\"\",IF(OR(EQ90=\"determ\",EQ90=\"error\"),\"no\",\"yes\"))","v":"yes"},null,null,"(values below should be equal)",null,null,"condition","global","content"]
[null,"short name","steelhead weight",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"coefficients",null,null,null,null,"(sorted)","y","cdf","pdf","M2","M3","M4","M5","M6","M7","M8","M9","M10","M11","M12","M13","M14","M15","M16","m2","m3","m4","m5","m6","m7","m8","m9","m10","m11","m12","m13","m14","m15","m16",null,"M2","M3","M4","M5","M6","M7","M8","M9","M10","M11","M12","M13","M14","M15","M16","m2","m3","m4","m5","m6","m7","m8","m9","m10","m11","m12","m13","m14","m15","m16",null,"(if \"no\", inputs (x,y) are not feasible for this n)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"dererminant",{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EC89)),INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EC89)))","v":39366788.546706475},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,ED89)),INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,ED89)))","v":48102430285.540077},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EE89)),INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EE89)))","v":1176278790224.55},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EF89)),INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EF89)))","v":2702537679223.4482},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EG89)),INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EG89)))","v":10838691992044.412},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EH89)),INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EH89)))","v":68747171559.968948},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EI89)),INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EI89)))","v":25211097195.493927},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EJ89)),INDEX($DG$30:$DP$10029,1,1):INDEX($DG$30:$DP$10029,$B$17,EJ89)))","v":14476098.39358661},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EK89)),INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EK89)))","v":13788.902764909339},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EL89)),INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EL89)))","v":1.9987046237745418E-2},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EM89)),INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EM89)))","v":1.7152813213378978E-6},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EN89)),INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EN89)))","v":2.2339239067746128E-13},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EO89)),INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EO89)))","v":4.7618026462419669E-20},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EP89)),INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EP89)))","v":1.5235232999885049E-29},{"$f":"MDETERM(MMULT(TRANSPOSE(INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EQ89)),INDEX($DG$30:$DV$10029,1,1):INDEX($DG$30:$DV$10029,$B$17,EQ89)))","v":2.9124534875342376E-37},null,null,null,"x data",null,{"$f":"IF(AND(B11<>\"u\",B11<>\"sl\",B11<>\"su\",B11<>\"b\"),1,0)","v":0},{"$f":"EB27","v":0},"you must enter either u, sl, sb, or b for metalog bounds."]
[null,"description","Catch-and-release steelhead weights during 2010-2014, Babine River, B.C.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a1",{"$f":"INDEX(EC90:EQ90,C$17-1)","v":2.284214653487334},null,null,{"$f":"IF(AC28=\"\",\"\",(ROW()-ROW($AB$27))/($B$17+1))","v":2.8776978417266187E-4},{"$f":"IF(C$34=\"\",\"\",IF(ROW()-ROW(S$27)>B$17,\"\",SMALL(INDEX($C$34:$C$10033,1,1):INDEX($C$34:$C$10033,B$17,1),ROW()-ROW(S$27))))","v":2},{"$f":"IF(OR($B$11=\"b\",$B$11=\"sl\"),0,NA())","v":0},{"$f":"IF(OR($B$11=\"b\",$B$11=\"sl\"),IF(INDEX(AG28:AU28,1,$C$17-1)=\"\",NA(),INDEX(AG28:AU28,1,$C$17-1)),NA())","v":0},{"$f":"IF(OR($B$11=\"b\",$B$11=\"sl\"),IF(INDEX(AV28:BJ28,1,$C$17-1)=\"\",NA(),INDEX(AV28:BJ28,1,$C$17-1)),NA())","v":0},{"$f":"IF(OR($B$11=\"b\",$B$11=\"sl\"),IF(BL29=\"\",NA(),$C$19),NA())","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,{"$f":"IF(OR($B$11=\"b\",$B$11=\"sl\"),IF(CA29=\"\",NA(),0),NA())","v":0},0,0,0,0,0,0,0,0,0,0,0,0,0,0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"total",{"$f":"COUNTA(INDEX(AC28:AC10027,1,1):INDEX(AC28:AC10027,B17,1))","v":3474},null,{"$f":"IF(AND(OR(B11=\"sl\",B11=\"b\"),NOT(ISNUMBER(C19))),1,0)","v":0},0,"you must enter a numeric lower bound",null,null,null,null,null,null,null,null,"regularization"]
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[null,{"$f":"B35+1","v":3},3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"a9",{"$f":"INDEX(EC98:EQ98,C$17-1)","v":-17.257797644127784},null,null,2.5899280575539568E-3,{"$f":"IF(C$34=\"\",\"\",IF(ROW()-ROW(S$27)>B$17,\"\",SMALL(INDEX($C$34:$C$10033,1,1):INDEX($C$34:$C$10033,B$17,1),ROW()-ROW(S$27))))","v":3},0.05,4.4976466405617188,7.7622036544137518E-2,4.816384854324963,4.6821288906044716,4.6824237146523258,4.5729437412360809,4.4096544536272058,4.4188109300591716,4.4873504606728023,4.4686890072275629,4.4976466405617188,4.4971787106126211,4.5166575995609266,4.5163769481938507,4.5324309828935601,4.5348036739277662,4.5784399843558603,4.3676665154224525E-2,4.1242855210077277E-2,4.9001838267723773E-2,5.836754403135791E-2,5.7792979905528258E-2,6.4183589278160855E-2,6.9938722316974622E-2,7.9419384152524281E-2,7.7622036544137518E-2,7.734049414962775E-2,7.8983682634271857E-2,8.0435521396049162E-2,7.6592881395062512E-2,7.7559908231224328E-2,7.7034942232028961E-2,null,1.5720236164260832,1.5437528976527413,1.5438158636182024,1.5201571422245777,1.483796331202252,1.4858706395485379,1.5012624297322041,1.4970950786347423,1.5035542912163522,1.5034502469617388,1.5077722511782996,1.5077101122889414,1.5112584363701096,1.5117817913241094,1.5213583253342442,0.21036362853622986,0.19310436391011998,0.22944736956634762,0.26691149516951951,0.25484707122880029,0.28361514583276587,0.31383955780794331,0.35490052892316815,0.34911649189629912,0.34781402375796588,0.35674225041139235,0.36327713464906969,0.34715194870407307,0.35171895679645648,0.35269985970766526,null,0.12887540190324817,0.11861044473534468,0.14580860817994004,0.18628870968710684,0.20665376323782431,0.23090887042005542,0.23499011154715368,0.2804800180370608,0.2505962993584791,0.25048957614188355,0.23793382009440242,0.24037791222737465,0.21856606746378565,0.21617463686547994,0.177711402148965,null,1,-6.2054231888451197,3.0902114613802816,-0.49798561151079135,0.24798966927177679,-1.5388808442931157,-0.12349528710066467,0.76634051828755012,6.1498876065525232E-2,-0.38162655162492237,-3.0625555404716953E-2,0.19004453167969157,1.5251085936075591E-2,-9.4639442322793157E-2,-7.5948213560802329E-3,4.7129080558156414E-2,1.0986122886681098,null,{"$f":"IF(B17<2,0,SUM(IF(INDEX(AC28:AC10027,1,1):INDEX(AC28:AC10027,B17-1,1)>INDEX(AC28:AC10027,2,1):INDEX(AC28:AC10027,B17,1),1,0)))","v":0},null,null,{"$f":"IF(OR(C17<2,C17>16),1,0)","v":0},0,"n must be in the range of 2 to 16",null,null,null,null,null,null,null,null,3.1250000000000001E-5]
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[null,18,3,null,"metalog quantile function (QF)",null,null,null,null,null,"example",null,null,null,null,null,null,null,null,null,null,null,null,"calculate y given x",null,null,null,6.9064748201438852E-3,{"$f":"IF(C$34=\"\",\"\",IF(ROW()-ROW(S$27)>B$17,\"\",SMALL(INDEX($C$34:$C$10033,1,1):INDEX($C$34:$C$10033,B$17,1),ROW()-ROW(S$27))))","v":4},0.20000000000000004,6.5228368299894468,6.8938349379473796E-2,6.8472826233348316,6.8667120853942603,6.6467821644397986,6.5290230243273388,6.618888065769081,6.6005993888604184,6.5217002429519164,6.5513259002365665,6.5228368299894468,6.5220501297828246,6.5162847376866191,6.5201676106834974,6.5197854315195594,6.5223912027069488,6.5566997204677353,0.10348532608462711,9.5631312840884233E-2,9.7740889629826355E-2,8.638126586608344E-2,7.6515094943531148E-2,7.2653472048534451E-2,7.3071682429358437E-2,6.9524149040955552E-2,6.8938349379473796E-2,6.9004347645697392E-2,6.7301310059643182E-2,6.7427222616921537E-2,6.5276859561611444E-2,6.5490743892088435E-2,6.2577659156068999E-2,null,1.923851876245553,1.9266854014833557,1.8941328525109666,1.8762573186689997,1.8899273899451567,1.8871604614028146,1.875135115401956,1.8796674566785083,1.8753093779356207,1.8751887635968376,1.8743043880181187,1.8749000827681839,1.8748414661208983,1.875241057584063,1.8804873849709494,0.70859327506940595,0.65667269162661901,0.64966240192800873,0.56398527371020002,0.5064448487729265,0.47955646320214407,0.47655160905245225,0.45547535830391933,0.44967360433111186,0.45004981451819981,0.43855449956796783,0.43963679298519759,0.42559111798514254,0.42715625182049149,0.41030292029612281,null,0.65367729625152693,0.60391441490434761,0.60878427727565609,0.53597990685685093,0.47253112763683475,0.44998478373523504,0.45558932642249339,0.43043188199864252,0.43059787540471878,0.43117133329415341,0.42180832004684277,0.42148658277403606,0.40913972266862986,0.40927533292552737,0.38186796956037283,null,1,-5.0559562440316768,2.4959691903989474,-0.49366906474820144,0.2437091454893639,-1.2321827758645738,-0.12031166592431763,0.6082905185599069,5.939414759515594E-2,-0.30029421139266765,-2.9321053294817271E-2,0.14824596248751695,1.4474896957484612E-2,-7.3184445653909441E-2,-7.1458088433280151E-3,3.6128896840081054E-2,1.0986122886681098,null,1.7266187050359713E-3,3,null,{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EB$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EC$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(ED$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EE$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EF$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EG$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EH$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EI$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EJ$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EK$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EL$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EM$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EN$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EO$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EP$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB50)+1=ROW()-ROW(EQ$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0}]
[null,19,3,null,"To make functions that correspond to the above graphs, click button above. To use formulas, 1) replace y with reference to a cumulative-probability cell and then 2) remove initial apostrophe. Formula is valid for 0<y<1; and for y=0 and y=1  when corresponding bounds have been specified.  To plot the PDF above, plot the quantile function on the x-axis and the density function on the y-axis, varying y over its valid range.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"y","x",null,null,7.1942446043165471E-3,{"$f":"IF(C$34=\"\",\"\",IF(ROW()-ROW(S$27)>B$17,\"\",SMALL(INDEX($C$34:$C$10033,1,1):INDEX($C$34:$C$10033,B$17,1),ROW()-ROW(S$27))))","v":4},0.21000000000000005,6.6677075258793801,6.9146807488248696E-2,6.942826394239332,6.9700729480073136,6.7483727046916382,6.6444213088943886,6.7486492600220238,6.7374362075815339,6.6583636194620794,6.6945359309155759,6.6677075258793801,6.6668015251358383,6.664789759883063,6.6682885094096047,6.6727480385055848,6.674752457053466,6.7147758012585639,0.10582471897860089,9.7852197541277566E-2,9.910692333752634E-2,8.6924422755689817E-2,7.7620942004648016E-2,7.3522361530544908E-2,7.3289691363635376E-2,7.0157842360711889E-2,6.9146807488248696E-2,6.9194322528297408E-2,6.7414524113526789E-2,6.7635997762346342E-2,6.5531039725946399E-2,6.5829855196007772E-2,6.402946062679063E-2,null,1.9377089530280627,1.9416256907158442,1.9093013950333704,1.8937776016753332,1.9093423752334688,1.9076794679278102,1.8958737515789521,1.9012916609700483,1.897276101580943,1.8971402134516582,1.8968384092296362,1.8973632317104143,1.8980317748548787,1.8983321185130213,1.9043104416677898,0.73472265208759024,0.68203695498552652,0.66881045629692948,0.57756248682124978,0.52383651282188015,0.49535222064279294,0.48798941465723394,0.46967419651929659,0.46105068867992849,0.46130481496239423,0.44930362997922324,0.4510163467011078,0.43727211679254041,0.43939798771702676,0.42994347278441175,null,0.68157815645738473,0.63063200357121052,0.62966697548830497,0.55014252158286048,0.48935080268038028,0.46444650394810949,0.46576623179698329,0.44239660751666082,0.43953306061686537,0.44001692599374098,0.42939778272646234,0.42979594060213328,0.41620587805021225,0.41709839107658225,0.39420006874207741,null,1,-5.0112148362741689,2.4724396652639027,-0.49338129496402877,0.24342510222038197,-1.2198554837683342,-0.12010139216024313,0.60185387825059256,5.9255780391003411E-2,-0.29694344583040028,-2.9235693663417366E-2,0.14650634183488381,1.4424344398828511E-2,-7.2283488654937639E-2,-7.1167017185011453E-3,3.566332123709081E-2,1.0986122886681098,null,2.014388489208633E-3,3,null,{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EB$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EC$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(ED$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EE$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EF$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EG$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EH$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EI$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EJ$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EK$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EL$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EM$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EN$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EO$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EP$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0},{"$f":"IF(COLUMN()-COLUMN($EB51)+1=ROW()-ROW(EQ$42),INDEX($EM$30:$EM$40,$C$23+1,1),0)","v":0}]
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(88069*EC100^2*EC93*EC95)/215255040 + (EC100^3*EC96)/1245184 + (72782903*EC100*EC101*EC102*EC96)/10782091837440 + (7759469*EC100^2*EC103*EC96)/1589197209600 + (EC100^2*EC104*EC96)/1835008 + (88069*EC100^2*EC91*EC96)/215255040 + (EC100^2*EC93*EC96)/20480 + (1423*EC100^2*EC95*EC96)/15375360 + (3*EC100^2*EC96^2)/557056 + (768129*EC100^2*EC102*EC97)/234903961600 + (24319*EC100^2*EC94*EC97)/516612096 + (1368973*EC100^2*EC101*EC98)/433417420800 + (71*EC100^2*EC102*EC98)/214466560 + (66784909*EC100*EC101*EC104*EC98)/44951578214400 + (27898883*EC100^2*EC105*EC98)/37018946764800 + (47849*EC100^2*EC92*EC98)/922521600 + (373*EC100^2*EC94*EC98)/74680320 + (1326653*EC100^2*EC97*EC98)/101335449600 + (29*EC100^2*EC98^2)/42803200 + (7759469*EC100^3*EC99)/4767591628800 + (31730711*EC100^2*EC104*EC99)/27969870888960 + (1423*EC100^2*EC93*EC99)/15375360 + (1593269*EC100^2*EC96*EC99)/75277762560 + EC100^2*EC105^2*(2569694549/12771536633856000 + PI()^2/209715200) + EC100*EC101*EC104*EC105*(19556822521/24813271174348800 + PI()^2/52428800) + EC100^2*EC103^2*(973676323/881050933002240 + PI()^2/48234496) + EC100*EC101^2*EC104*(2969615213/1865754916945920 + PI()^2/24117248) + EC100^2*EC101*EC105*(1472540521/906223816802304 + PI()^2/24117248) + EC100*EC101*EC102*EC103*(1745359172143/555062087791411000 + (3*PI()^2)/44843008) + EC100^2*EC101^2*(2208869431/672802530656256 + PI()^2/11010048) + EC100^2*EC105*EC97*(27073198069/4205015816601600 + PI()^2/5505024) + EC100^2*EC103*EC99*(778001383/84100316332032 + PI()^2/5505024) + EC100*EC101*EC103*EC98*(25619947729/2102507908300800 + PI()^2/3655680) + EC100*EC101*EC102*EC99*(274382384057/21025079083008000 + PI()^2/3440640) + EC100*EC101*EC104*EC97*(6632178031/525626977075200 + PI()^2/2752512) + EC100*EC101*EC105*EC96*(14098445897/1051253954150400 + PI()^2/2752512) + EC100^2*EC99^2*(4651811/239520153600 + PI()^2/2490368) + EC100*EC101*EC103*EC105*(8556993119/1415974713753600 + (56279389*PI()^2)/116964914626560) + EC100^2*EC105*EC92*(18066079/752777625600 + PI()^2/1245184) + EC100^2*EC101*EC97*(702953/27022786560 + PI()^2/1245184) + EC100*EC101^2*EC96*(19773869/729615237120 + PI()^2/1245184) + EC100^2*EC103*EC95*(4651811/119760076800 + PI()^2/1245184) + EC100*EC101*EC103*EC94*(28601917/677499863040 + PI()^2/992256) + EC100*EC101^2*EC103*(896597057437/75690284698828800 + (85568519*PI()^2)/83909612666880) + EC100*EC101*EC102*EC95*(1059127/19516456960 + (9*PI()^2)/7081984) + EC100*EC101*EC104*EC92*(24792799/526944337920 + PI()^2/622592) + EC100*EC101*EC105*EC93*(5839333/105388867584 + PI()^2/622592) + EC100^2*EC97^2*(1217/23654400 + PI()^2/557056) + EC100*EC101*EC105*EC99*(2899288219/119189790720000 + (214773077*PI()^2)/104887015833600) + EC100^2*EC101*EC92*(4492651/46495088640 + PI()^2/278528) + EC100*EC101^2*EC93*(473113/4226826240 + PI()^2/278528) + EC100^2*EC103*EC91*(264263/1614412800 + PI()^2/278528) + EC100^2*EC95*EC99*(264263/1614412800 + PI()^2/278528) + EC100*EC101^2*EC99*(1391372449/29274685440000 + (7799849*PI()^2)/1787846860800) + EC100*EC101*EC102*EC91*(1051961/4649508864 + (15*PI()^2)/2680832) + EC100^2*EC95^2*(4193641/12108096000 + PI()^2/122880) + EC100*EC101*EC103*EC97*(220805971/2439557120000 + (123675463*PI()^2)/14302774886400) + EC100*EC101*EC105*EC95*(57937587403/592812380160000 + (125199073*PI()^2)/14302774886400) + EC100^2*EC92*EC97*(1362103/3587584000 + PI()^2/61440) + EC100^2*EC91*EC99*(4193641/6054048000 + PI()^2/61440) + EC100*EC101^2*EC95*(4419929/23247544320 + (1412627*PI()^2)/75277762560) + EC100*EC101*EC91*EC98*(21299891/24216192000 + PI()^2/42240) + EC100*EC101*EC92*EC96*(12783269/16144128000 + PI()^2/30720) + EC100*EC101*EC103*EC92*(3380371/10567065600 + (1367813*PI()^2)/37638881280) + EC100^2*EC92^2*(3491/5068800 + PI()^2/26624) + EC100*EC101*EC105*EC91*(88973/227026800 + (176929*PI()^2)/4704860160) + EC100^2*EC91*EC95*(13063/4435200 + PI()^2/13312) + EC100*EC101^2*EC91*(52852273/69742632960 + (14983*PI()^2)/184504320) + EC100*EC101*EC91*EC94*(48661/15966720 + (5*PI()^2)/54912) + EC100*EC101*EC92*EC93*(5729/1774080 + PI()^2/6656) + EC100^2*EC91^2*(141/22400 + PI()^2/5632) + EC100*EC101*EC92*EC95*(294881/59875200 + (1998407*PI()^2)/2905943040) + EC100*EC101*EC91*EC97*(1354319/239500800 + (255589*PI()^2)/363242880) + EC100*EC101*EC91*EC92*(22973/1209600 + (1343*PI()^2)/443520))","v":""},"","","","","","","","","","","","","",""]
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(48312791*EC100*EC102*EC105*EC96)/29967718809600 + (237851*EC100*EC102*EC92*EC96)/2152550400 + (1423*EC100*EC103*EC93*EC96)/7687680 + (86503*EC100*EC101*EC94*EC96)/894136320 + (1277*EC100*EC102*EC94*EC96)/120637440 + (1593269*EC100*EC103*EC96^2)/75277762560 + (528301*EC100*EC102*EC104*EC97)/343489642496 + (947*EC100*EC102*EC93*EC97)/7884800 + (669259*EC100*EC102*EC96*EC97)/23952015360 + (92573347*EC100*EC102*EC103*EC98)/64783156838400 + (33903*EC100*EC102*EC104*EC98)/221524459520 + (16517*EC100*EC102*EC91*EC98)/146764800 + (10693*EC100*EC101*EC93*EC98)/92252160 + (7713*EC100*EC102*EC93*EC98)/609889280 + (6750839*EC100*EC103*EC94*EC98)/329340211200 + (661363*EC100*EC102*EC95*EC98)/25333862400 + (1184863*EC100*EC101*EC96*EC98)/43912028160 + (1531*EC100*EC102*EC96*EC98)/531148800 + (8508541*EC100*EC103*EC98^2)/2979744768000 + (108932459*EC100*EC102^2*EC99)/142762882662400 + (7190731*EC100*EC102*EC94*EC99)/329340211200 + (197678387*EC100*EC102*EC98*EC99)/32446109696000 + EC100*EC103^2*EC104*(536568051133/1013208572952570000 + PI()^2/104857600) + EC100*EC102*EC103*EC105*(18379442801/23747075928576000 + (27*PI()^2)/1743257600) + EC100*EC103*EC105^2*(222451385227/289488163700736000 + (3468884941*PI()^2)/60821755605811200) + EC100*EC103*EC105*EC98*(4709825521/1573305237504000 + (9*PI()^2)/143196160) + EC100*EC102*EC105*EC99*(5044368059/1573305237504000 + (3*PI()^2)/44843008) + EC100*EC103*EC104*EC99*(973676323/220262733250560 + PI()^2/12058624) + EC100*EC103^3*(3776249956033/2775310438957050000 + (46522243*PI()^2)/526342115819520) + EC100*EC103^2*EC96*(778001383/84100316332032 + PI()^2/5505024) + EC100*EC103*EC105*EC94*(10880345711/1051253954150400 + PI()^2/4358144) + EC100*EC102*EC103*EC97*(132081266393/10512539541504000 + PI()^2/3440640) + EC100*EC102*EC105*EC95*(34966348777/2628134885376000 + PI()^2/3440640) + EC100*EC103*EC104*EC95*(778001383/42050158166016 + PI()^2/2752512) + EC100*EC103^2*EC93*(4651811/119760076800 + PI()^2/1245184) + EC100*EC103^2*EC99*(58192725971/3504179847168000 + (31730711*PI()^2)/27969870888960) + EC100*EC103*EC97*EC98*(8193869/168030720000 + (7*PI()^2)/5836800) + EC100*EC101*EC98*EC99*(1667900203/32934021120000 + (7*PI()^2)/5836800) + EC100*EC102*EC103*EC92*(13895467/292746854400 + (9*PI()^2)/7081984) + EC100*EC102*EC97*EC99*(6254893/119760076800 + (9*PI()^2)/7081984) + EC100*EC102*EC105*EC91*(36443807/658680422400 + (9*PI()^2)/7081984) + EC100*EC103*EC104*EC91*(4651811/59880038400 + PI()^2/622592) + EC100*EC103*EC96*EC99*(4651811/59880038400 + PI()^2/622592) + EC100*EC103*EC105*EC97*(6222991597/268177029120000 + (425527139*PI()^2)/209774031667200) + EC100*EC103*EC94*EC97*(420281/2483712000 + (7*PI()^2)/1566720) + EC100*EC101*EC94*EC99*(14582849/83026944000 + (7*PI()^2)/1566720) + EC100*EC103^2*EC95*(329431857/4879114240000 + (7759469*PI()^2)/1589197209600) + EC100*EC103*EC99^2*(329431857/4879114240000 + (7759469*PI()^2)/1589197209600) + EC100*EC103*EC92*EC98*(5945039/32288256000 + (3*PI()^2)/565760) + EC100*EC101*EC95*EC98*(12253897/58118860800 + (3*PI()^2)/565760) + EC100*EC102*EC92*EC99*(2548547/12915302400 + (15*PI()^2)/2680832) + EC100*EC102*EC95*EC97*(281041/1291530240 + (15*PI()^2)/2680832) + EC100*EC101*EC96*EC97*(55397/258306048 + PI()^2/139264) + EC100*EC103*EC95*EC96*(264263/807206400 + PI()^2/139264) + EC100*EC103*EC93*EC99*(264263/807206400 + PI()^2/139264) + EC100*EC103*EC105*EC92*(5461441669/65868042240000 + (4487001*PI()^2)/529732403200) + EC100*EC103*EC97^2*(5536651/32288256000 + (277813*PI()^2)/15055552512) + EC100*EC103*EC92*EC94*(30910921/48432384000 + PI()^2/49920) + EC100*EC101*EC94*EC95*(35426707/48432384000 + PI()^2/49920) + EC100*EC103^2*EC91*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EC100*EC102*EC92*EC95*(13277477/16144128000 + PI()^2/40320) + EC100*EC102*EC91*EC97*(3146329/3459456000 + PI()^2/40320) + EC100*EC101*EC93*EC97*(42784057/48432384000 + PI()^2/30720) + EC100*EC103*EC93*EC95*(4193641/3027024000 + PI()^2/30720) + EC100*EC103*EC91*EC96*(4193641/3027024000 + PI()^2/30720) + EC100*EC101*EC97*EC99*(209892223/581188608000 + (700423*PI()^2)/18819440640) + EC100*EC103*EC95*EC99*(39838781/72648576000 + (1593269*PI()^2)/37638881280) + EC100*EC103*EC95^2*(8968709/8072064000 + (1423*PI()^2)/15375360) + EC100*EC102*EC91*EC92*(3393/985600 + (9*PI()^2)/81536) + EC100*EC103*EC91*EC93*(13063/2217600 + PI()^2/6656) + EC100*EC103*EC92*EC97*(5770357/4843238400 + (9613*PI()^2)/61501440) + EC100*EC101*EC92*EC99*(122157793/96864768000 + (227*PI()^2)/1441440) + EC100*EC101*EC95*EC97*(1388749/968647680 + (29749*PI()^2)/184504320) + EC100*EC103*EC91*EC99*(8968709/4036032000 + (1423*PI()^2)/7687680) + EC100*EC103*EC92^2*(35459/17740800 + (71899*PI()^2)/215255040) + EC100*EC103*EC91*EC95*(1421/158400 + (88069*PI()^2)/107627520) + EC100*EC103*EC91^2*(21757/1209600 + (1627*PI()^2)/887040))","v":""},"","","","","","","","","","","","","",""]
[null,85,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.6187050359712229E-2,{"$f":"IF(C$34=\"\",\"\",IF(ROW()-ROW(S$27)>B$17,\"\",SMALL(INDEX($C$34:$C$10033,1,1):INDEX($C$34:$C$10033,B$17,1),ROW()-ROW(S$27))))","v":4},0.87000000000000055,14.318005210997756,3.7407990823835412E-2,14.383934933277091,14.283572617941289,14.708880088892068,14.245761306469902,14.337706950435797,14.466563415278102,14.360913898170768,14.286089158449514,14.318005210997756,14.316299123552692,14.271300247372912,14.271584108559741,14.31396316403695,14.314706001076333,14.219002430086313,3.4822659699042968E-2,3.8478078938529947E-2,4.024202050102739E-2,4.5342911717484433E-2,3.6363762477440165E-2,3.5353619878320967E-2,3.2866588255886862E-2,3.5606492271446827E-2,3.7407990823835412E-2,3.7484249946581054E-2,3.7226736891770223E-2,3.7650226073547413E-2,3.8338490682667072E-2,3.7921759093608155E-2,4.0449904503846806E-2,null,2.6661119541704439,2.65911010895003,2.688451399076909,2.6564594102894352,2.6628929165578241,2.6718400152200217,2.6645102035289137,2.6592862776799526,2.6615178509212489,2.6613986870381563,2.6582505448831975,2.6582704350374859,2.6612355058910566,2.661287400517053,2.6545792693183872,0.50088687131468446,0.54960443471736975,0.59191505408434808,0.64594429726762048,0.52137297001679028,0.51144538392936678,0.47199424406942181,0.50867752320953297,0.53560780754863169,0.53663573465726844,0.53127393941240664,0.53732836811492091,0.54877574339647028,0.54283883246864362,0.57515729043695707,null,0.56466026607093101,0.61815850721860377,0.64762965882309642,0.736599834721819,0.59448878780767433,0.56847981661854019,0.53697925433565008,0.58638798262944891,0.60690077973473788,0.60840701128403796,0.61547959496708182,0.62114606989757348,0.61275847794409621,0.60752966316635504,0.69054519259524405,null,1,-3.6387681929609408,1.7261897456391686,-0.47438848920863308,0.22504443869364937,-0.81888454552119971,-0.10675849127668517,0.38846940238610006,5.0644999386939712E-2,-0.18428541290172257,-2.4025404745142479E-2,8.7422878609637308E-2,1.1397375459674064E-2,-4.1472407305895569E-2,-5.4067837252583292E-3,1.9674032645688875E-2,1.3862943611198906,null,2.1007194244604316E-2,4,null,null,{"$f":"IF(OR(ISERROR(AV29),$B$11<>\"u\"),\"\",(EC100*EC104^2*EC93)/1835008 + (88069*EC100*EC104*EC91*EC93)/107627520 + (EC100*EC104*EC93^2)/20480 + (11*EC100*EC91*EC93^2)/280 + (13893721*EC100*EC104*EC105*EC94)/11040738508800 + (112187*EC100*EC104*EC92*EC94)/1291530240 + (9679*EC100*EC105*EC93*EC94)/99348480 + (81*EC100*EC92*EC93*EC94)/11200 + (19*EC100*EC104*EC94^2)/4526080 + (239*EC100*EC91*EC94^2)/75600 + (31730711*EC100*EC104^2*EC95)/27969870888960 + (1423*EC100*EC104*EC93*EC95)/7687680 + (3*EC100*EC104^2*EC96)/24117248 + (1423*EC100*EC104*EC91*EC96)/7687680 + (3*EC100*EC104*EC93*EC96)/139264 + (563*EC100*EC91*EC93*EC96)/33600 + (122443*EC100*EC105*EC94*EC96)/5376983040 + (7277*EC100*EC92*EC94*EC96)/4435200 + (1593269*EC100*EC104*EC95*EC96)/37638881280 + (3*EC100*EC104*EC96^2)/1245184 + (1627*EC100*EC91*EC96^2)/887040 + (824189*EC100*EC104*EC94*EC97)/37638881280 + (82225271*EC100*EC104*EC105*EC98)/230851805184000 + (15905849*EC100*EC104*EC92*EC98)/658680422400 + (1384181*EC100*EC105*EC93*EC98)/50667724800 + (4337*EC100*EC92*EC93*EC98)/2217600 + (977*EC100*EC104*EC94*EC98)/429977600 + (1873*EC100*EC91*EC94*EC98)/1108800 + (2180221*EC100*EC105*EC96*EC98)/340542259200 + (603481*EC100*EC92*EC96*EC98)/1345344000 + (95443*EC100*EC104*EC97*EC98)/15580364800 + (197*EC100*EC104*EC98^2)/633651200 + (5149*EC100*EC91*EC98^2)/22422400 + (46522243*EC100*EC104^2*EC99)/175447371939840 + (1593269*EC100*EC104*EC93*EC99)/37638881280 + (7759469*EC100*EC104*EC96*EC99)/794598604800 + EC100*EC104*EC105^2*(2088816548867/21391651675570100000 + PI()^2/452984832) + EC100*EC105^2*EC96*(19346953/11654112870400 + PI()^2/24117248) + EC100*EC104*EC105*EC97*(196583099/62932209500160 + PI()^2/12058624) + EC100*EC105^2*EC93*(1109328277/161731377561600 + PI()^2/5505024) + EC100*EC104*EC99^2*(778001383/84100316332032 + PI()^2/5505024) + EC100*EC105^2*EC99*(292633889201/94398314250240000 + (42397837*PI()^2)/175447371939840) + EC100*EC105*EC98*EC99*(326317602361/26281348853760000 + PI()^2/3655680) + EC100*EC104*EC105*EC92*(24553131107/2102507908300800 + PI()^2/2752512) + EC100*EC104*EC97^2*(8227789/329340211200 + PI()^2/1245184) + EC100*EC105*EC94*EC99*(259163/6031872000 + PI()^2/992256) + EC100*EC105^2*EC95*(13400463413/1072708116480000 + (431249713*PI()^2)/419548063334400) + EC100*EC105*EC95*EC98*(13480409/261381120000 + (7*PI()^2)/5836800) + EC100*EC105*EC96*EC97*(4995871/94097203200 + PI()^2/622592) + EC100*EC104*EC95*EC99*(4651811/59880038400 + PI()^2/622592) + EC100*EC104*EC95^2*(264263/1614412800 + PI()^2/278528) + EC100*EC105^2*EC91*(45066577/896163840000 + (6977809*PI()^2)/1589197209600) + EC100*EC105*EC94*EC95*(21173/118609920 + (7*PI()^2)/1566720) + EC100*EC105*EC91*EC98*(54987/256256000 + (3*PI()^2)/565760) + EC100*EC104*EC92*EC97*(598687/3228825600 + PI()^2/139264) + EC100*EC105*EC92*EC96*(10819/54912000 + PI()^2/139264) + EC100*EC105*EC93*EC97*(2356499/10762752000 + PI()^2/139264) + EC100*EC104*EC91*EC99*(264263/807206400 + PI()^2/139264) + EC100*EC105*EC97*EC99*(2042843093/21956014080000 + (1723291*PI()^2)/198649651200) + EC100*EC104*EC92^2*(32924581/96864768000 + PI()^2/61440) + EC100*EC105*EC91*EC94*(13367/18018000 + PI()^2/49920) + EC100*EC92*EC98*EC99*(3711157/4843238400 + PI()^2/42240) + EC100*EC105*EC92*EC93*(39071671/48432384000 + PI()^2/30720) + EC100*EC104*EC91*EC95*(4193641/3027024000 + PI()^2/30720) + EC100*EC105*EC92*EC99*(95804531/290594304000 + (685309*PI()^2)/18819440640) + EC100*EC105*EC95*EC97*(500377/1345344000 + (1403651*PI()^2)/37638881280) + EC100*EC104*EC91^2*(13063/4435200 + PI()^2/13312) + EC100*EC92*EC94*EC99*(23563/8870400 + (5*PI()^2)/54912) + EC100*EC92*EC95*EC98*(6073/1900800 + PI()^2/9360) + EC100*EC91*EC97*EC98*(11779/3326400 + PI()^2/9360) + EC100*EC92*EC96*EC97*(13723/4435200 + PI()^2/6656) + EC100*EC91*EC96*EC99*(13063/2217600 + PI()^2/6656) + EC100*EC105*EC92*EC95*(9472241/7264857600 + (17431*PI()^2)/110702592) + EC100*EC105*EC91*EC97*(53819041/36324288000 + (44617*PI()^2)/276756480) + EC100*EC92^2*EC96*(247/44800 + PI()^2/2816) + EC100*EC91*EC99^2*(1421/316800 + (88069*PI()^2)/215255040) + EC100*EC92*EC94*EC95*(20063/1814400 + PI()^2/2376) + EC100*EC91*EC94*EC97*(1591/129600 + PI()^2/2376) + EC100*EC91*EC92*EC98*(449/33600 + (3*PI()^2)/6160) + EC100*EC92*EC97*EC99*(4559/985600 + (12269*PI()^2)/17937920) + EC100*EC105*EC91*EC92*(5683/1108800 + (6141*PI()^2)/8968960) + EC100*EC92*EC93*EC97*(839/67200 + PI()^2/1408) + EC100*EC91*EC95*EC96*(141/5600 + PI()^2/1408) + EC100*EC91*EC93*EC99*(141/5600 + PI()^2/1408) + EC100*EC92^2*EC99*(725/96768 + (41*PI()^2)/27720) + EC100*EC91*EC97^2*(37381/3628800 + (4111*PI()^2)/2661120) + EC100*EC92^2*EC93*(1301/60480 + PI()^2/576) + EC100*EC91^2*EC96*(409/7560 + PI()^2/576) + EC100*EC91*EC92*EC94*(1391/30240 + PI()^2/504) + EC100*EC92*EC95*EC97*(32009/1814400 + (8047*PI()^2)/2661120) + EC100*EC91*EC93*EC95*(409/3780 + PI()^2/288) + EC100*EC91*EC95*EC99*(21757/604800 + (1627*PI()^2)/443520) + EC100*EC92^2*EC95*(163/6048 + (1339*PI()^2)/201600) + EC100*EC91*EC95^2*(359/5040 + (563*PI()^2)/67200) + EC100*EC91^2*EC99*(359/5040 + (563*PI()^2)/67200) + EC100*EC91^2*EC93*(7/30 + PI()^2/112) + EC100*EC91*EC92*EC97*(1979/30240 + (341*PI()^2)/25200) + EC100*EC91*EC92^2*(43/480 + (17*PI()^2)/560) + EC100*EC91^2*EC95*(11/40 + (11*PI()^2)/280) + EC100*EC91^3*(1/3 + (23*PI()^2)/360))","v":""},"","","","","","","","","","","","","",""]
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+ (17*EC100*EC93*EC94^2)/44352 + (563*EC100*EC93^2*EC95)/67200 + (197*EC100*EC94^2*EC95)/277200 + (3*EC100*EC93^2*EC96)/2816 + (83*EC100*EC94^2*EC96)/988416 + (1627*EC100*EC93*EC95*EC96)/443520 + (3*EC100*EC93*EC96^2)/13312 + (88069*EC100*EC95*EC96^2)/215255040 + (EC100*EC96^3)/61440 + (7877*EC100*EC93*EC94*EC97)/4435200 + (43843*EC100*EC94*EC96*EC97)/107627520 + (191*EC100*EC93*EC94*EC98)/960960 + (211877*EC100*EC94*EC95*EC98)/550368000 + (73*EC100*EC94*EC96*EC98)/1647360 + (19857*EC100*EC93*EC97*EC98)/40768000 + (121*EC100*EC96*EC97*EC98)/1075200 + (13*EC100*EC93*EC98^2)/492800 + (30463*EC100*EC95*EC98^2)/576576000 + (101*EC100*EC96*EC98^2)/16972800 + (1627*EC100*EC93^2*EC99)/887040 + (195691*EC100*EC94^2*EC99)/1210809600 + (88069*EC100*EC93*EC96*EC99)/107627520 + (1423*EC100*EC96^2*EC99)/15375360 + (54959*EC100*EC94*EC98*EC99)/620928000 + (50412979*EC100*EC98^2*EC99)/4116752640000 + EC101^2*EC104^2*(19763671327/102387392635207000 + PI()^2/209715200) + EC101^2*EC102^2*(66433891/116609682309120 + (1503*PI()^2)/110493171712) + EC101^2*EC102*EC98*(592832873/134776147968000 + (71*PI()^2)/643399680) + EC101^2*EC104*EC96*(2208869431/336401265328128 + PI()^2/5505024) + EC101^2*EC102*EC105*(182910802853/82231420413542400 + (2777486147*PI()^2)/14737579242946500) + EC101^2*EC98^2*(1260251299/148203095040000 + (29*PI()^2)/128409600) + EC101^2*EC103*EC104*(6539833741387/2220248351165640000 + (84042493*PI()^2)/350894743879680) + EC101^3*EC102*(87860767333/30276113879531500 + (3453809*PI()^2)/13052606414848) + EC101^2*EC102*EC94*(18026207/1185624760320 + (2131*PI()^2)/5297324032) + EC101^2*EC105*EC98*(2255050459933/270322445352960000 + (469756579*PI()^2)/629322095001600) + EC101^2*EC104*EC93*(19773869/729615237120 + PI()^2/1245184) + EC101^2*EC104*EC99*(896597057437/75690284698828800 + (85568519*PI()^2)/83909612666880) + EC101^3*EC98*(1608359141/148203095040000 + (1368973*PI()^2)/1300252262400) + EC101^2*EC94*EC98*(1223119/20756736000 + (373*PI()^2)/224040960) + EC101^2*EC96^2*(473113/8453652480 + PI()^2/557056) + EC101^2*EC105*EC94*(6017544079/215568138240000 + (13376611*PI()^2)/5048038195200) + EC101^2*EC94^2*(84727/825552000 + (41*PI()^2)/13178880) + EC101^2*EC102*EC97*(78841295119/2371249520640000 + (1080400241*PI()^2)/323462755123200) + EC100*EC96*EC99^2*(264263/1614412800 + PI()^2/278528) + EC101^3*EC94*(30291083/836911595520 + (169693*PI()^2)/45166657536) + EC101^2*EC104*EC95*(1391372449/29274685440000 + (7799849*PI()^2)/1787846860800) + EC101^2*EC103*EC96*(1391372449/29274685440000 + (7799849*PI()^2)/1787846860800) + EC100*EC97*EC98*EC99*(546241/2690688000 + (3*PI()^2)/565760) + EC100*EC99^3*(39838781/435891456000 + (1593269*PI()^2)/225833287680) + EC101^2*EC97*EC98*(39240787/317011968000 + (52792379*PI()^2)/3952082534400) + EC101^2*EC102*EC92*(81187/688816128 + (1465873*PI()^2)/105388867584) + EC100*EC96*EC97^2*(103511/244608000 + PI()^2/61440) + EC101^2*EC93*EC96*(44881061/96864768000 + PI()^2/61440) + EC100*EC93*EC99^2*(4193641/6054048000 + PI()^2/61440) + EC101^2*EC104*EC91*(4419929/23247544320 + (1412627*PI()^2)/75277762560) + EC101^2*EC103*EC93*(4419929/23247544320 + (1412627*PI()^2)/75277762560) + EC101^2*EC96*EC99*(4419929/23247544320 + (1412627*PI()^2)/75277762560) + EC100*EC94*EC97*EC99*(1552433/2201472000 + PI()^2/49920) + EC100*EC95*EC97*EC98*(569629/672672000 + PI()^2/42240) + EC100*EC95*EC96*EC99*(4193641/3027024000 + PI()^2/30720) + EC101^2*EC93^2*(1775/1824768 + PI()^2/26624) + EC101^2*EC94*EC97*(17191513/41845579776 + (3343433*PI()^2)/69742632960) + EC101^2*EC92*EC98*(11848099/27243216000 + (51593*PI()^2)/922521600) + EC100*EC93*EC97^2*(171/98560 + PI()^2/13312) + EC100*EC95^2*EC96*(13063/4435200 + PI()^2/13312) + EC100*EC97^2*EC99*(1216867/1793792000 + (2461*PI()^2)/30750720) + EC101^2*EC95*EC96*(52852273/69742632960 + (14983*PI()^2)/184504320) + EC101^2*EC93*EC99*(52852273/69742632960 + (14983*PI()^2)/184504320) + EC100*EC94*EC95*EC97*(4349/1478400 + (5*PI()^2)/54912) + EC100*EC95*EC99^2*(8968709/8072064000 + (1423*PI()^2)/15375360) + EC100*EC93*EC95*EC99*(13063/2217600 + PI()^2/6656) + EC101^2*EC92*EC94*(274243/191600640 + (1173037*PI()^2)/5811886080) + EC100*EC95*EC97^2*(5899/2217600 + (75329*PI()^2)/215255040) + EC101^2*EC93*EC95*(288587/95800320 + (2055541*PI()^2)/5811886080) + EC101^2*EC91*EC96*(288587/95800320 + (2055541*PI()^2)/5811886080) + EC100*EC93*EC95^2*(141/11200 + PI()^2/2816) + EC100*EC95^2*EC99*(1421/316800 + (88069*PI()^2)/215255040) + EC100*EC95^3*(21757/3628800 + (1627*PI()^2)/2661120) + EC101^2*EC91*EC93*(5837/483840 + (229*PI()^2)/147840) + EC101^2*EC105^2*(280531360795583/137240626102272000000 + (57504512864077*PI()^2)/145902034505170000000 + (7*PI()^4)/1048576000) + EC101^3*EC105*(7513656977/1455582398054400 + (4250932369*PI()^2)/3964729198510080 + (7*PI()^4)/361758720) + EC101^4*(6624515533/1365839723888640 + (2208869431*PI()^2)/2018407591968760 + PI()^4/47185920) + EC101^2*EC103^2*(1552054050709/151380569397657000 + (596862346727*PI()^2)/317178335880806000 + (7*PI()^4)/241172480) + EC101^2*EC105*EC97*(1618315711/28454994247680 + (65654109517*PI()^2)/5046018979921920 + PI()^4/3932160) + EC101^2*EC103*EC99*(3793008103/47424990412800 + (131498082169*PI()^2)/8410031633203200 + PI()^4/3932160) + EC101^3*EC97*(16082551/228248616960 + (121105*PI()^2)/6840142848 + (7*PI()^4)/18677760) + EC101^2*EC99^2*(972803389/6276836966400 + (9256228021*PI()^2)/284549942476800 + (7*PI()^4)/12451840) + EC101^2*EC105*EC92*(1198908791/6276836966400 + (3641258111*PI()^2)/71137485619200 + (7*PI()^4)/6225920) + EC101^2*EC103*EC95*(972803389/3138418483200 + (9256228021*PI()^2)/142274971238400 + (7*PI()^4)/6225920) + EC101^3*EC92*(32359693/139485265920 + (1616149*PI()^2)/23247544320 + (7*PI()^4)/4177920) + EC101^2*EC97^2*(197612951/523069747200 + (13605197*PI()^2)/126804787200 + (7*PI()^4)/2785280) + EC101^2*EC103*EC91*(23082611/19372953600 + (2333927*PI()^2)/8610201600 + (7*PI()^4)/1392640) + EC101^2*EC95*EC99*(23082611/19372953600 + (2333927*PI()^2)/8610201600 + (7*PI()^4)/1392640) + EC101^2*EC95^2*(723433/319334400 + (65704909*PI()^2)/116237721600 + (7*PI()^4)/614400) + EC101^2*EC92*EC97*(2314883/958003200 + (3484651*PI()^2)/4151347200 + (7*PI()^4)/307200) + EC101^2*EC91*EC99*(723433/159667200 + (65704909*PI()^2)/58118860800 + (7*PI()^4)/307200) + EC101^2*EC92^2*(105517/29030400 + (780889*PI()^2)/479001600 + (7*PI()^4)/133120) + EC101^2*EC91*EC95*(61513/3628800 + (2261213*PI()^2)/479001600 + (7*PI()^4)/66560) + EC101^2*EC91^2*(37/1260 + (72853*PI()^2)/7257600 + (7*PI()^4)/28160))","v":""},"","","","","","","","","","","","","",""]
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+ (2986757729*EC101*EC102*EC104^2)/67224045669580800 + (72782903*EC101*EC102*EC104*EC93)/10782091837440 + (106129*EC101*EC102*EC93^2)/387459072 + (1610593*EC101*EC102^2*EC94)/883406684160 + (8221331*EC101*EC104^2*EC94)/13248886210560 + (54583*EC101*EC102*EC94^2)/2075673600 + (10361427*EC101*EC102*EC104*EC96)/6526303207424 + (89233*EC101*EC102*EC93*EC96)/717516800 + (691087*EC101*EC102*EC96^2)/47904030720 + (990498163*EC101*EC102^2*EC98)/1927298915942400 + (307730597*EC101*EC104^2*EC98)/1754473719398400 + (599873*EC101*EC102*EC94*EC98)/41167526400 + (40624079*EC101*EC102*EC98^2)/19910112768000 + EC101*EC104^2*EC105*(6220123713731/65030621093733300000 + PI()^2/452984832) + EC101*EC102^2*EC105*(342810091697/1215850287543090000 + (2007*PI()^2)/317272883200) + EC101*EC102*EC103*EC104*(1435403271193/1891322669511470000 + (27*PI()^2)/1743257600) + EC101*EC104^2*EC97*(242690714089/158589167940403000 + PI()^2/24117248) + EC101*EC102*EC105^2*(4341112758126360/7.65985681152147E+21 + (172091214161*PI()^2)/3831770603166100000) + EC101*EC102*EC105*EC98*(215487560933/99118229962752000 + (11301*PI()^2)/221524459520) + EC101*EC103*EC104*EC98*(116432754839/39647291985100800 + (9*PI()^2)/143196160) + EC101*EC102*EC104*EC99*(1745359172143/555062087791411000 + (3*PI()^2)/44843008) + EC101*EC104*EC105*EC96*(1472540521/453111908401152 + PI()^2/12058624) + EC101*EC103*EC104*EC105*(4221775379593/2816123827765240000 + (7767739081*PI()^2)/68424475056537600) + EC101*EC102^2*EC97*(47590001581/10512539541504000 + (17*PI()^2)/144506880) + EC101*EC104^2*EC92*(48116003323/8410031633203200 + PI()^2/5505024) + EC101*EC102*EC105*EC94*(448083641/59730338304000 + (157*PI()^2)/849838080) + EC101*EC102*EC103^2*(1639958629147/555062087791411000 + (180119899*PI()^2)/866916426055680) + EC101*EC103*EC104*EC94*(42725547343/4205015816601600 + PI()^2/4358144) + EC101*EC102*EC104*EC95*(274382384057/21025079083008000 + PI()^2/3440640) + EC101*EC102*EC103*EC96*(274382384057/21025079083008000 + PI()^2/3440640) + EC101*EC104*EC105*EC93*(14098445897/1051253954150400 + PI()^2/2752512) + EC101*EC104*EC105*EC99*(8556993119/1415974713753600 + (56279389*PI()^2)/116964914626560) + EC101*EC102^2*EC92*(319967/18819440640 + (711*PI()^2)/1388068864) + EC101*EC103^2*EC98*(18037663849/1617313775616000 + (74399197*PI()^2)/89903156428800) + EC101*EC102*EC97*EC98*(192061613/5489003520000 + (1531*PI()^2)/1593446400) + EC101*EC103*EC96*EC98*(1667900203/32934021120000 + (7*PI()^2)/5836800) + EC101*EC102*EC104*EC91*(1059127/19516456960 + (9*PI()^2)/7081984) + EC101*EC102*EC103*EC93*(1059127/19516456960 + (9*PI()^2)/7081984) + EC101*EC102*EC96*EC99*(1059127/19516456960 + (9*PI()^2)/7081984) + EC101*EC102*EC105*EC97*(1793934716983/105125395415040000 + (6957134609*PI()^2)/4405254665011200) + EC101*EC102*EC103*EC99*(50295846989/2102507908300800 + (34583777*PI()^2)/19578909622272) + EC101*EC103*EC104*EC97*(95032046503/4205015816601600 + (21191179*PI()^2)/10488701583360) + EC101*EC104*EC105*EC95*(2899288219/119189790720000 + (214773077*PI()^2)/104887015833600) + EC101*EC103*EC105*EC96*(2899288219/119189790720000 + (214773077*PI()^2)/104887015833600) + EC101*EC103^2*EC94*(44491807153/1185624760320000 + (14936587*PI()^2)/5048038195200) + EC101*EC102*EC94*EC97*(37619/310464000 + (1277*PI()^2)/361912320) + EC101*EC102*EC99^2*(19116774701/395208253440000 + (1219878937*PI()^2)/323462755123200) + EC101*EC102*EC92*EC98*(86767/660441600 + (2571*PI()^2)/609889280) + EC101*EC103*EC94*EC96*(14582849/83026944000 + (7*PI()^2)/1566720) + EC101*EC104*EC91*EC98*(12253897/58118860800 + (3*PI()^2)/565760) + EC101*EC103*EC93*EC98*(12253897/58118860800 + (3*PI()^2)/565760) + EC101*EC102*EC95*EC96*(1051961/4649508864 + (15*PI()^2)/2680832) + EC101*EC102*EC93*EC99*(1051961/4649508864 + (15*PI()^2)/2680832) + EC101*EC102*EC105*EC92*(313323851/5132574720000 + (13762687261*PI()^2)/2102507908300800) + EC101*EC103*EC98*EC99*(53447733553/592812380160000 + (50584421*PI()^2)/7151387443200) + EC101*EC102*EC103*EC95*(19116774701/197604126720000 + (1219878937*PI()^2)/161731377561600) + EC101*EC103*EC104*EC92*(95563405781/1185624760320000 + (60373769*PI()^2)/7151387443200) + EC101*EC104*EC105*EC91*(57937587403/592812380160000 + (125199073*PI()^2)/14302774886400) + EC101*EC103*EC105*EC93*(57937587403/592812380160000 + (125199073*PI()^2)/14302774886400) + EC101*EC102*EC97^2*(20942423/166053888000 + (135307*PI()^2)/9580806144) + EC101*EC102*EC92*EC94*(102177/224224000 + (229*PI()^2)/14676480) + EC101*EC104*EC91*EC94*(35426707/48432384000 + PI()^2/49920) + EC101*EC103*EC93*EC94*(35426707/48432384000 + PI()^2/49920) + EC101*EC102*EC93*EC95*(6556051/6918912000 + PI()^2/40320) + EC101*EC102*EC91*EC96*(6556051/6918912000 + PI()^2/40320) + EC101*EC103*EC94*EC99*(1465679/4843238400 + (63863*PI()^2)/2509258752) + EC101*EC103*EC95*EC98*(317116493/871782912000 + (60062803*PI()^2)/1976041267200) + EC101*EC102*EC103*EC91*(432437/1107025920 + (775543*PI()^2)/23952015360) + EC101*EC102*EC95*EC99*(432437/1107025920 + (775543*PI()^2)/23952015360) + EC101*EC104*EC92*EC93*(12783269/16144128000 + PI()^2/30720) + EC101*EC103*EC96*EC97*(209892223/581188608000 + (700423*PI()^2)/18819440640) + EC101*EC102*EC95^2*(14111/17937920 + (301187*PI()^2)/4305100800) + EC101*EC103*EC94*EC95*(159070733/130767436800 + (295573*PI()^2)/2682408960) + EC101*EC102*EC91*EC93*(1427/354816 + (9*PI()^2)/81536) + EC101*EC102*EC92*EC97*(85394443/96864768000 + (764081*PI()^2)/6457651200) + EC101*EC103*EC91*EC98*(70880801/48432384000 + (8663*PI()^2)/65894400) + EC101*EC102*EC91*EC99*(14111/8968960 + (301187*PI()^2)/2152550400) + EC101*EC104*EC92*EC95*(122157793/96864768000 + (227*PI()^2)/1441440) + EC101*EC103*EC92*EC96*(122157793/96864768000 + (227*PI()^2)/1441440) + EC101*EC104*EC91*EC97*(1388749/968647680 + (29749*PI()^2)/184504320) + EC101*EC103*EC93*EC97*(1388749/968647680 + (29749*PI()^2)/184504320) + EC101*EC102*EC92^2*(1428223/958003200 + (1455359*PI()^2)/5811886080) + EC101*EC103*EC91*EC94*(1165427/239500800 + (127039*PI()^2)/264176640) + EC101*EC102*EC91*EC95*(377231/59875200 + (1776119*PI()^2)/2905943040) + EC101*EC104*EC91*EC92*(294881/59875200 + (1998407*PI()^2)/2905943040) + EC101*EC103*EC92*EC93*(294881/59875200 + (1998407*PI()^2)/2905943040) + EC101*EC102*EC91^2*(14549/1209600 + (499*PI()^2)/354816) + EC101*EC103^2*EC105*(2492686997250880/462551739826176000000 + (11134720060901*PI()^2)/12158502875430900000 + (7*PI()^4)/524288000) + EC101*EC103*EC105*EC99*(2001456632741/47306427936768000 + (602328415687*PI()^2)/79294583970201600 + (7*PI()^4)/60293120) + EC101*EC103^2*EC97*(448077629/5928123801600 + (5382324397*PI()^2)/350417984716800 + PI()^4/3932160) + EC101*EC103*EC105*EC95*(29400465691/177843714048000 + (153077279*PI()^2)/4851941326848 + PI()^4/1966080) + EC101*EC103^2*EC92*(98505601/387459072000 + (15348629*PI()^2)/250925875200 + (7*PI()^4)/6225920) + EC101*EC103*EC97*EC99*(56564003/96864768000 + (48110597*PI()^2)/376388812800 + (7*PI()^4)/3112960) + EC101*EC103*EC105*EC91*(186632857/290594304000 + (23049511*PI()^2)/175648112640 + (7*PI()^4)/3112960) + EC101*EC103*EC92*EC99*(1681235267/871782912000 + (59198537*PI()^2)/116237721600 + (7*PI()^4)/696320) + EC101*EC103*EC95*EC97*(5845150111/2615348736000 + (92862173*PI()^2)/174356582400 + (7*PI()^4)/696320) + EC101*EC103*EC92*EC95*(86287/11975040 + (44040877*PI()^2)/20756736000 + (7*PI()^4)/153600) + EC101*EC103*EC91*EC97*(134923/15966720 + (107580013*PI()^2)/48432384000 + (7*PI()^4)/153600) + EC101*EC103*EC91*EC92*(10639/403200 + (78367*PI()^2)/8870400 + (7*PI()^4)/33280))","v":""},"","","","","","","","","","","","","",""]
[null,88,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.7050359712230215E-2,{"$f":"IF(C$34=\"\",\"\",IF(ROW()-ROW(S$27)>B$17,\"\",SMALL(INDEX($C$34:$C$10033,1,1):INDEX($C$34:$C$10033,B$17,1),ROW()-ROW(S$27))))","v":4},0.90000000000000058,15.250533816871416,2.743301171597709E-2,15.379087381398785,15.180337808742594,15.544199913674564,15.015515809647233,15.293020278034946,15.426151595743981,15.411587040098889,15.273541442371927,15.250533816871416,15.247753008432724,15.224519409409504,15.215146496647415,15.219904949215657,15.228332229142367,15.143395687503956,2.5917254212927558E-2,2.8871572182361846E-2,3.1795670579691779E-2,3.3218952667149942E-2,2.7024001751419762E-2,2.7541181165087535E-2,2.4794745477374498E-2,2.5835033603303997E-2,2.743301171597709E-2,2.7437945179782871E-2,2.6475856513889104E-2,2.6679757181813823E-2,2.8174690051362347E-2,2.805961598479054E-2,2.5988000160846847E-2,null,2.7330086243064464,2.7200010252602329,2.7436875731397952,2.709084053802103,2.7273965333335206,2.7360642247514741,2.7351196317059188,2.726122013910762,2.7246145068257923,2.7244321484879404,2.7229072472133145,2.7222914117381656,2.7226041072902318,2.7231576552734884,2.7175645086934894,0.39858371722653874,0.43828021879774848,0.49423825988006986,0.49879970895351311,0.41327860677811429,0.42485443577848914,0.38212637806165534,0.39459245640513496,0.41836807287313843,0.41836701116024644,0.40308219137644569,0.40593641401627834,0.42881610455534691,0.42730115443854416,0.3935465695626203,null,0.46767156154580586,0.51361983785459353,0.56135232457356876,0.59811222389799468,0.4851412250238914,0.48293473878332016,0.44119042380641987,0.47018912761116727,0.49775633159670868,0.49845252060583822,0.4883104790625904,0.49369454401768059,0.51220154236218085,0.50714525098235208,0.5121000135735988,null,1,-3.604729591731668,1.7069302282573984,-0.47352517985611509,0.22422609595776613,-0.80827444333742415,-0.10617670241683573,0.38273830115445506,5.0277342108461347E-2,-0.18123622289198726,-2.3807587464596588E-2,8.5819915041371236E-2,1.127349213611329E-2,-4.063789070520183E-2,-5.3382823913595443E-3,1.9243064505153843E-2,1.3862943611198906,null,2.1870503597122302E-2,4,null,null,{"$f":"IF(OR(ISERROR(AV29),$B$11<>\"u\"),\"\",(86503*EC101*EC104*EC93*EC94)/894136320 + (349*EC101*EC93^2*EC94)/86400 + (1319*EC101*EC94^3)/9979200 + (169693*EC101*EC104*EC94*EC96)/7527776256 + (8053*EC101*EC93*EC94*EC96)/4435200 + (1184863*EC101*EC104*EC93*EC98)/43912028160 + (989*EC101*EC93^2*EC98)/887040 + (53927*EC101*EC94^2*EC98)/504504000 + (1368973*EC101*EC104*EC96*EC98)/216708710400 + (6082441*EC101*EC93*EC96*EC98)/12108096000 + EC101*EC105*EC98^2*(55157494207/13140674426880000 + (197*PI()^2)/1900953600) + EC101*EC105^2*EC98*(6031328554159/2831949427507200000 + (4663213283*PI()^2)/26317105790976000) + EC101*EC104*EC98*EC99*(25619947729/2102507908300800 + PI()^2/3655680) + EC101*EC105^2*EC94*(55167303901/7723498438656000 + (1367791*PI()^2)/2183882342400) + EC101*EC105*EC94*EC98*(4303425941/148203095040000 + (977*PI()^2)/1289932800) + EC101*EC105*EC96^2*(5839333/210777735168 + PI()^2/1245184) + EC101*EC104*EC94*EC99*(28601917/677499863040 + PI()^2/992256) + EC101*EC104*EC95*EC98*(1667900203/32934021120000 + (7*PI()^2)/5836800) + EC101*EC105*EC94^2*(32239/638668800 + (19*PI()^2)/13578240) + EC101*EC104*EC96*EC97*(702953/13511393280 + PI()^2/622592) + EC101*EC104*EC94*EC95*(14582849/83026944000 + (7*PI()^2)/1566720) + EC101*EC105*EC97*EC98*(1800961783/28229160960000 + (14974343*PI()^2)/2383795814400) + EC101*EC104*EC92*EC96*(4492651/23247544320 + PI()^2/139264) + EC101*EC104*EC93*EC97*(55397/258306048 + PI()^2/139264) + EC101*EC105*EC93*EC96*(1361753/5930496000 + PI()^2/139264) + EC101*EC104*EC97*EC99*(220805971/2439557120000 + (123675463*PI()^2)/14302774886400) + EC101*EC105*EC96*EC99*(57937587403/592812380160000 + (125199073*PI()^2)/14302774886400) + EC101*EC92*EC98^2*(1537567/6054048000 + (13*PI()^2)/1478400) + EC101*EC105*EC93^2*(317981/658944000 + PI()^2/61440) + EC101*EC105*EC94*EC97*(371044049/1743565824000 + (505951*PI()^2)/22583328768) + EC101*EC93*EC98*EC99*(21299891/24216192000 + PI()^2/42240) + EC101*EC105*EC92*EC98*(395419867/1743565824000 + (51673147*PI()^2)/1976041267200) + EC101*EC94^2*EC97*(98183/119750400 + (83*PI()^2)/2965248) + EC101*EC104*EC92*EC99*(3380371/10567065600 + (1367813*PI()^2)/37638881280) + EC101*EC104*EC95*EC97*(209892223/581188608000 + (700423*PI()^2)/18819440640) + EC101*EC105*EC95*EC96*(88973/227026800 + (176929*PI()^2)/4704860160) + EC101*EC105*EC93*EC99*(88973/227026800 + (176929*PI()^2)/4704860160) + EC101*EC92*EC94*EC98*(2201/1247400 + (191*PI()^2)/2882880) + EC101*EC92*EC96^2*(5729/3548160 + PI()^2/13312) + EC101*EC93*EC94*EC99*(48661/15966720 + (5*PI()^2)/54912) + EC101*EC105*EC92*EC94*(1967802451/2615348736000 + (653333*PI()^2)/6974263296) + EC101*EC93*EC95*EC98*(48997/13305600 + PI()^2/9360) + EC101*EC91*EC96*EC98*(48997/13305600 + PI()^2/9360) + EC101*EC92*EC94^2*(1397/453600 + (17*PI()^2)/133056) + EC101*EC93*EC96*EC97*(8069/2217600 + PI()^2/6656) + EC101*EC105*EC93*EC95*(22816777/14529715200 + (17977*PI()^2)/110702592) + EC101*EC105*EC91*EC96*(22816777/14529715200 + (17977*PI()^2)/110702592) + EC101*EC93^2*EC97*(367/48384 + PI()^2/2816) + EC101*EC93*EC94*EC95*(4609/362880 + PI()^2/2376) + EC101*EC91*EC94*EC96*(4609/362880 + PI()^2/2376) + EC101*EC92*EC97*EC98*(770489/239500800 + (17411299*PI()^2)/36324288000) + EC101*EC91*EC93*EC98*(4723/302400 + (3*PI()^2)/6160) + EC101*EC91*EC98*EC99*(701893/119750400 + (20825899*PI()^2)/36324288000) + EC101*EC92*EC96*EC99*(294881/59875200 + (1998407*PI()^2)/2905943040) + EC101*EC93*EC97*EC99*(1354319/239500800 + (255589*PI()^2)/363242880) + EC101*EC105*EC91*EC93*(759511/119750400 + (1023409*PI()^2)/1452971520) + EC101*EC92*EC93*EC96*(7907/604800 + PI()^2/1408) + EC101*EC92^2*EC98*(107/20160 + (13619*PI()^2)/13305600) + EC101*EC94*EC95^2*(3893/403200 + (28207*PI()^2)/26611200) + EC101*EC92*EC93^2*(1601/60480 + PI()^2/576) + EC101*EC92*EC94*EC97*(37949/3628800 + (23207*PI()^2)/13305600) + EC101*EC91*EC93*EC94*(1613/30240 + PI()^2/504) + EC101*EC91*EC94*EC99*(3893/201600 + (28207*PI()^2)/13305600) + EC101*EC91*EC95*EC98*(14057/604800 + (16859*PI()^2)/6652800) + EC101*EC92*EC95*EC96*(22973/1209600 + (1343*PI()^2)/443520) + EC101*EC92*EC93*EC99*(22973/1209600 + (1343*PI()^2)/443520) + EC101*EC93*EC95*EC97*(40217/1814400 + (8233*PI()^2)/2661120) + EC101*EC91*EC96*EC97*(40217/1814400 + (8233*PI()^2)/2661120) + EC101*EC92^2*EC94*(407/24192 + (6817*PI()^2)/1814400) + EC101*EC91^2*EC98*(431/10080 + (67*PI()^2)/11200) + EC101*EC91*EC94*EC95*(1139/15120 + (1231*PI()^2)/129600) + EC101*EC92*EC93*EC95*(2189/30240 + (451*PI()^2)/33600) + EC101*EC91*EC92*EC96*(2189/30240 + (451*PI()^2)/33600) + EC101*EC91*EC93*EC97*(883/10080 + (689*PI()^2)/50400) + EC101*EC91^2*EC94*(23/180 + (47*PI()^2)/2016) + EC101*EC91*EC92*EC93*(41/144 + (223*PI()^2)/3780) + EC101*EC105^3*(29942800949887/83744790213427200000 + (314253150557167*PI()^2)/4.87729658203E+21 + (7*PI()^4)/6794772480) + EC101*EC105^2*EC97*(104966691457/6931344752640000 + (505580880781*PI()^2)/158589167940403000 + (7*PI()^4)/120586240) + EC101*EC105^2*EC92*(52475948053/1016249794560000 + (45257309333*PI()^2)/3604299271372800 + PI()^4/3932160) + EC101*EC105*EC99^2*(29400465691/355687428096000 + (153077279*PI()^2)/9703882653696 + PI()^4/3932160) + EC101*EC105*EC97^2*(359795201/1743565824000 + (166309679*PI()^2)/3161666027520 + (7*PI()^4)/6225920) + EC101*EC105*EC95*EC99*(186632857/290594304000 + (23049511*PI()^2)/175648112640 + (7*PI()^4)/3112960) + EC101*EC105*EC95^2*(2159140757/1743565824000 + (158821541*PI()^2)/581188608000 + (7*PI()^4)/1392640) + EC101*EC105*EC92*EC97*(3546761521/2615348736000 + (719934221*PI()^2)/1743565824000 + (7*PI()^4)/696320) + EC101*EC105*EC91*EC99*(2159140757/871782912000 + (158821541*PI()^2)/290594304000 + (7*PI()^4)/696320) + EC101*EC105*EC92^2*(1139/534600 + (751637*PI()^2)/931392000 + (7*PI()^4)/307200) + EC101*EC92*EC99^2*(86287/23950080 + (44040877*PI()^2)/41513472000 + (7*PI()^4)/307200) + EC101*EC105*EC91*EC95*(13963/1478400 + (331394269*PI()^2)/145297152000 + (7*PI()^4)/153600) + EC101*EC92*EC97^2*(58901/7257600 + (59623*PI()^2)/17740800 + (7*PI()^4)/66560) + EC101*EC105*EC91^2*(20623/1209600 + (9209*PI()^2)/1900800 + (7*PI()^4)/66560) + EC101*EC92*EC95*EC99*(10639/403200 + (78367*PI()^2)/8870400 + (7*PI()^4)/33280) + EC101*EC91*EC97*EC99*(19013/604800 + (2465*PI()^2)/266112 + (7*PI()^4)/33280) + EC101*EC92^2*EC97*(307/13440 + (167*PI()^2)/12960 + (7*PI()^4)/14080) + EC101*EC92*EC95^2*(949/20160 + (3167*PI()^2)/172800 + (7*PI()^4)/14080) + EC101*EC92^3*(53/2880 + (1451*PI()^2)/90720 + (7*PI()^4)/8640) + EC101*EC91*EC92*EC99*(949/10080 + (3167*PI()^2)/86400 + (7*PI()^4)/7040) + EC101*EC91*EC95*EC97*(1727/15120 + (69989*PI()^2)/1814400 + (7*PI()^4)/7040) + EC101*EC91^2*EC97*(89/480 + (2467*PI()^2)/30240 + (7*PI()^4)/2880) + EC101*EC91*EC92*EC95*(47/144 + (1517*PI()^2)/10080 + (7*PI()^4)/1440) + EC101*EC91^2*EC92*(1/2 + (221*PI()^2)/720 + PI()^4/80))","v":""},"","","","","","","","","","","","","",""]
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+ (18485789209*EC102^2*EC103*EC104)/434622128599859000 + (41*EC102^2*EC104^2)/18496880640 + (82022476183*EC102^3*EC105)/7823198314797460000 + (9043747*EC102^2*EC104*EC91)/2781095116800 + (5784167*EC102^3*EC92)/8343285350400 + (9043747*EC102^2*EC103*EC93)/2781095116800 + (17*EC102^2*EC104*EC93)/48168960 + (3547*EC102^2*EC91*EC93)/13453440 + (23*EC102^2*EC93^2)/1505280 + (1301*EC102^3*EC94)/20821032960 + (17945817*EC102*EC103*EC104*EC94)/15027671859200 + (19708847*EC102^2*EC105*EC94)/45083015577600 + (48077*EC102^2*EC92*EC94)/1614412800 + (11689*EC102*EC103*EC93*EC94)/124185600 + (15473*EC102^2*EC94^2)/10978007040 + (108932459*EC102^2*EC104*EC95)/142762882662400 + (32359*EC102^2*EC93*EC95)/538137600 + (108932459*EC102^2*EC103*EC96)/142762882662400 + (4509*EC102^2*EC104*EC96)/55246585856 + (32359*EC102^2*EC91*EC96)/538137600 + (1269*EC102^2*EC93*EC96)/187658240 + (458831*EC102^2*EC95*EC96)/32934021120 + (2133*EC102^2*EC96^2)/2776137728 + (817*EC101*EC94*EC96^2)/3913728 + (3423419*EC102^3*EC97)/19321292390400 + (225271*EC102^2*EC94*EC97)/29940019200 + (1033479*EC102^3*EC98)/59700841840640 + (5711382161*EC102*EC103*EC104*EC98)/16967607681024000 + (95484149*EC102^2*EC105*EC98)/771254894592000 + (682547*EC102^2*EC92*EC98)/82335052800 + (661363*EC102*EC103*EC93*EC98)/25333862400 + (1858247*EC102^2*EC94*EC98)/2433458227200 + (10693*EC101*EC96^2*EC98)/184504320 + (41077*EC102^2*EC97*EC98)/19475456000 + (307*EC102^2*EC98^2)/2927468544 + (40961*EC101*EC94*EC98^2)/1397088000 + (16376*EC101*EC98^3)/6030399375 + (178367729*EC102^2*EC104*EC99)/991952449044480 + (458831*EC102^2*EC93*EC99)/32934021120 + (9043747*EC102^2*EC96*EC99)/2781095116800 + EC102^2*EC105^2*(1947158707067010/5.57637575878763E+22 + (41*PI()^2)/55490641920) + EC102^2*EC103^2*(5260376196307/28369840042672100000 + (2007*PI()^2)/634545766400) + EC102*EC103*EC104*EC105*(13042631426236400/6.97046969848454E+22 + (5*PI()^2)/1387266048) + EC102*EC103^2*EC98*(4115930321/2855257653248000 + (11301*PI()^2)/443048919040) + EC102^2*EC105*EC97*(1896888137/1694328717312000 + (1503*PI()^2)/55246585856) + EC102^2*EC103*EC99*(6793909261/4405254665011200 + (1503*PI()^2)/55246585856) + EC102*EC103^2*EC105*(635552589160141/851095201280163000000 + (279935023*PI()^2)/5676697189875710) + EC102^2*EC99^2*(67574762993/21025079083008000 + (17*PI()^2)/289013760) + EC102*EC103*EC104*EC97*(93379965293/30836782655078400 + (3*PI()^2)/44843008) + EC102*EC103*EC105*EC96*(5044368059/1573305237504000 + (3*PI()^2)/44843008) + EC102*EC103^2*EC94*(17575678093/3504179847168000 + (157*PI()^2)/1699676160) + EC102^2*EC105*EC92*(44257438343/10512539541504000 + (17*PI()^2)/144506880) + EC102^2*EC103*EC95*(67574762993/10512539541504000 + (17*PI()^2)/144506880) + EC102^2*EC97^2*(2153831/239520153600 + (711*PI()^2)/2776137728) + EC102*EC103*EC104*EC92*(21865995481/1911370825728000 + PI()^2/3440640) + EC102*EC103*EC105*EC93*(34966348777/2628134885376000 + PI()^2/3440640) + EC102*EC103*EC105*EC99*(2799415337801/462551739826176000 + (3076629299*PI()^2)/7368789621473280) + EC102^2*EC103*EC91*(35379913/1317360844800 + (711*PI()^2)/1388068864) + EC102^2*EC95*EC99*(35379913/1317360844800 + (711*PI()^2)/1388068864) + EC102*EC103^2*EC97*(12023755477/1051253954150400 + (11420023*PI()^2)/13052606414848) + EC102^2*EC95^2*(726293/12915302400 + (423*PI()^2)/375316480) + EC102*EC103*EC105*EC95*(3975994343/162230548480000 + (7817355509*PI()^2)/4405254665011200) + EC101*EC97*EC98^2*(327917/4843238400 + (101*PI()^2)/50918400) + EC102^2*EC92*EC97*(434809/6457651200 + (423*PI()^2)/187658240) + EC102^2*EC91*EC99*(726293/6457651200 + (423*PI()^2)/187658240) + EC102*EC103*EC94*EC95*(8517037/48432384000 + (1277*PI()^2)/361912320) + EC102*EC103^2*EC92*(5450230339/131736084480000 + (189572109*PI()^2)/51913775513600) + EC102*EC103*EC91*EC98*(566567/2690688000 + (2571*PI()^2)/609889280) + EC102^2*EC92^2*(753283/6054048000 + (23*PI()^2)/4515840) + EC101*EC96*EC98*EC99*(12253897/58118860800 + (3*PI()^2)/565760) + EC102*EC103*EC92*EC96*(2548547/12915302400 + (15*PI()^2)/2680832) + EC102*EC103*EC93*EC97*(281041/1291530240 + (15*PI()^2)/2680832) + EC102*EC103*EC105*EC91*(6530066219/65868042240000 + (196685589*PI()^2)/25956887756800) + EC102^2*EC91*EC95*(11408489/24216192000 + (23*PI()^2)/2257920) + EC101*EC94*EC97*EC98*(1551919/3302208000 + (73*PI()^2)/4942080) + EC101*EC98*EC99^2*(317116493/1743565824000 + (60062803*PI()^2)/3952082534400) + EC102*EC103*EC91*EC94*(1279657/1729728000 + (229*PI()^2)/14676480) + EC101*EC96^2*EC97*(42784057/96864768000 + PI()^2/61440) + EC101*EC94*EC96*EC99*(35426707/48432384000 + PI()^2/49920) + EC101*EC95*EC96*EC98*(21299891/24216192000 + PI()^2/42240) + EC102*EC103*EC92*EC93*(13277477/16144128000 + PI()^2/40320) + EC102^2*EC91^2*(8443/8870400 + (9*PI()^2)/326144) + EC102*EC103*EC92*EC99*(193238833/581188608000 + (8258381*PI()^2)/263472168960) + EC101*EC94*EC99^2*(159070733/261534873600 + (295573*PI()^2)/5364817920) + EC101*EC97^2*EC98*(135539923/290594304000 + (22469*PI()^2)/395366400) + EC101*EC94*EC95*EC96*(48661/15966720 + (5*PI()^2)/54912) + EC101*EC95*EC98*EC99*(70880801/48432384000 + (8663*PI()^2)/65894400) + EC102*EC103*EC92*EC95*(119487/89689600 + (873713*PI()^2)/6457651200) + EC102*EC103*EC91*EC97*(18163237/12108096000 + (99377*PI()^2)/717516800) + EC101*EC96*EC97*EC99*(1388749/968647680 + (29749*PI()^2)/184504320) + EC101*EC94*EC97^2*(35047/22809600 + (44207*PI()^2)/215255040) + EC101*EC95^2*EC98*(701893/239500800 + (20825899*PI()^2)/72648576000) + EC101*EC94*EC95*EC99*(1165427/239500800 + (127039*PI()^2)/264176640) + EC102*EC103*EC91*EC92*(337/63360 + (63253*PI()^2)/107627520) + EC101*EC95*EC96*EC97*(1354319/239500800 + (255589*PI()^2)/363242880) + EC101*EC97*EC99^2*(5845150111/5230697472000 + (92862173*PI()^2)/348713164800 + (7*PI()^4)/1392640) + EC101*EC97^3*(60281/68428800 + (83774413*PI()^2)/290594304000 + (7*PI()^4)/921600) + EC101*EC95*EC97*EC99*(134923/15966720 + (107580013*PI()^2)/48432384000 + (7*PI()^4)/153600) + EC101*EC95^2*EC97*(19013/1209600 + (2465*PI()^2)/532224 + (7*PI()^4)/66560))","v":""},"","","","","","","","","","","","","",""]
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+ (46329663*EC102*EC104^2*EC92)/65263032074240 + (48312791*EC102*EC104*EC105*EC93)/29967718809600 + (237851*EC102*EC104*EC92*EC93)/2152550400 + (16897*EC102*EC105*EC93^2)/263577600 + (313*EC102*EC92*EC93^2)/67200 + (689*EC102*EC104^2*EC94)/10762321920 + (11689*EC102*EC104*EC91*EC94)/124185600 + (1277*EC102*EC104*EC93*EC94)/120637440 + (67*EC102*EC91*EC93*EC94)/8400 + (2050907*EC102*EC105*EC94^2)/329340211200 + (493*EC102*EC92*EC94^2)/1108800 + (7190731*EC102*EC104*EC94*EC95)/329340211200 + (400952597*EC102*EC104*EC105*EC96)/1052684231639040 + (6784181*EC102*EC104*EC92*EC96)/263472168960 + (502289*EC102*EC105*EC93*EC96)/17108582400 + (1847*EC102*EC92*EC93*EC96)/887040 + (7190731*EC102*EC103*EC94*EC96)/329340211200 + (6393*EC102*EC104*EC94*EC96)/2648662016 + (661*EC102*EC91*EC94*EC96)/369600 + (177925749*EC102*EC105*EC96^2)/51913775513600 + (157422763*EC102*EC104^2*EC97)/866916426055680 + (669259*EC102*EC104*EC93*EC97)/23952015360 + (768129*EC102*EC104*EC96*EC97)/117451980800 + (31*EC102*EC104^2*EC98)/1743257600 + (661363*EC102*EC104*EC91*EC98)/25333862400 + (1531*EC102*EC104*EC93*EC98)/531148800 + (343*EC102*EC91*EC93*EC98)/158400 + (134309729*EC102*EC105*EC94*EC98)/38649042432000 + (26087*EC102*EC92*EC94*EC98)/108108000 + (197678387*EC102*EC104*EC95*EC98)/32446109696000 + (197678387*EC102*EC103*EC96*EC98)/32446109696000 + (71*EC102*EC104*EC96*EC98)/107233280 + (109701*EC102*EC91*EC96*EC98)/224224000 + (673619131*EC102*EC105*EC98^2)/1376642082816000 + (157489873*EC102*EC104*EC94*EC99)/30919233945600 + (92573347*EC102*EC104*EC98*EC99)/64783156838400 + EC102*EC105^3*(133914109106538000/2.78818787939381E+24 + (46418972783*PI()^2)/12969069733792900000) + EC102*EC105^2*EC98*(28610214793789/106386900160020000000 + (31*PI()^2)/5229772800) + EC102*EC104*EC105*EC99*(18379442801/23747075928576000 + (27*PI()^2)/1743257600) + EC102*EC105^2*EC94*(1285768807889/1387655219478520000 + (689*PI()^2)/32286965760) + EC102*EC104*EC105*EC95*(5044368059/1573305237504000 + (3*PI()^2)/44843008) + EC102*EC105^2*EC97*(30269915251937/13876552194785200000 + (2763174443*PI()^2)/14737579242946500) + EC102*EC105*EC97*EC98*(14193602081/1642584303360000 + (71*PI()^2)/321699840) + EC102*EC103*EC98*EC99*(31589170597/2628134885376000 + (71*PI()^2)/321699840) + EC102*EC104*EC97*EC99*(132081266393/10512539541504000 + PI()^2/3440640) + EC102*EC104*EC105*EC91*(34966348777/2628134885376000 + PI()^2/3440640) + EC102*EC105*EC96*EC99*(34966348777/2628134885376000 + PI()^2/3440640) + EC102*EC105^2*EC92*(826207948199/105125395415040000 + (6819488353*PI()^2)/8810509330022400) + EC102*EC105*EC94*EC97*(7565681/253338624000 + (2131*PI()^2)/2648662016) + EC102*EC103*EC94*EC99*(708313/16889241600 + (2131*PI()^2)/2648662016) + EC102*EC105*EC99^2*(3975994343/324461096960000 + (7817355509*PI()^2)/8810509330022400) + EC102*EC105*EC92*EC98*(534977767/16467010560000 + (1531*PI()^2)/1593446400) + EC102*EC103*EC95*EC98*(59091083/1176215040000 + (1531*PI()^2)/1593446400) + EC102*EC104*EC92*EC99*(13895467/292746854400 + (9*PI()^2)/7081984) + EC102*EC104*EC95*EC97*(6254893/119760076800 + (9*PI()^2)/7081984) + EC102*EC103*EC96*EC97*(6254893/119760076800 + (9*PI()^2)/7081984) + EC102*EC105*EC95*EC96*(36443807/658680422400 + (9*PI()^2)/7081984) + EC102*EC105*EC93*EC99*(36443807/658680422400 + (9*PI()^2)/7081984) + EC102*EC105*EC97^2*(43322311/1330667520000 + (172479589*PI()^2)/51913775513600) + EC102*EC105*EC92*EC94*(49499/440294400 + (1277*PI()^2)/361912320) + EC102*EC104*EC92*EC95*(2548547/12915302400 + (15*PI()^2)/2680832) + EC102*EC104*EC91*EC97*(281041/1291530240 + (15*PI()^2)/2680832) + EC102*EC105*EC93*EC95*(932069/4036032000 + (15*PI()^2)/2680832) + EC102*EC105*EC91*EC96*(932069/4036032000 + (15*PI()^2)/2680832) + EC102*EC103*EC97*EC99*(6087193439/65868042240000 + (14920193*PI()^2)/1996683673600) + EC102*EC105*EC95*EC99*(6530066219/65868042240000 + (196685589*PI()^2)/25956887756800) + EC102*EC105*EC95^2*(46525679/232475443200 + (3897911*PI()^2)/239520153600) + EC102*EC91*EC98*EC99*(255121/288288000 + (83*PI()^2)/4435200) + EC102*EC104*EC91*EC92*(13277477/16144128000 + PI()^2/40320) + EC102*EC105*EC91*EC93*(3932483/4036032000 + PI()^2/40320) + EC102*EC105*EC92*EC97*(16737257/72648576000 + (4052089*PI()^2)/146373427200) + EC102*EC103*EC95*EC97*(30948661/83026944000 + (85363*PI()^2)/2661335040) + EC102*EC105*EC91*EC99*(46525679/116237721600 + (3897911*PI()^2)/119760076800) + EC102*EC92^2*EC98*(1277/1330560 + (157*PI()^2)/3669120) + EC102*EC105*EC92^2*(230958227/581188608000 + (2255059*PI()^2)/38745907200) + EC102*EC92*EC94*EC97*(287/158400 + (313*PI()^2)/4484480) + EC102*EC91*EC94*EC99*(277/88704 + (313*PI()^2)/4484480) + EC102*EC91*EC95*EC98*(12373/3326400 + (157*PI()^2)/1834560) + EC102*EC92*EC93*EC99*(3393/985600 + (9*PI()^2)/81536) + EC102*EC91*EC96*EC97*(16963/4435200 + (9*PI()^2)/81536) + EC102*EC105*EC91*EC95*(29211983/18162144000 + (2735539*PI()^2)/19372953600) + EC102*EC92^2*EC94*(217/64800 + (107*PI()^2)/665280) + EC102*EC91^2*EC98*(5/672 + (3*PI()^2)/12320) + EC102*EC105*EC91^2*(3063/985600 + (69193*PI()^2)/215255040) + EC102*EC91*EC94*EC95*(5981/453600 + (107*PI()^2)/332640) + EC102*EC92*EC93*EC95*(979/67200 + (3*PI()^2)/6160) + EC102*EC91*EC92*EC96*(979/67200 + (3*PI()^2)/6160) + EC102*EC91*EC93*EC97*(551/33600 + (3*PI()^2)/6160) + EC102*EC91*EC97*EC99*(26687/4435200 + (12965*PI()^2)/21525504) + EC102*EC91^2*EC94*(389/15120 + PI()^2/1008) + EC102*EC92^2*EC97*(7733/1451520 + (5749*PI()^2)/5322240) + EC102*EC92*EC95^2*(12793/1209600 + (2279*PI()^2)/1774080) + EC102*EC92^3*(653/120960 + (313*PI()^2)/201600) + EC102*EC91*EC92*EC93*(1949/30240 + PI()^2/504) + EC102*EC91*EC92*EC99*(12793/604800 + (2279*PI()^2)/887040) + EC102*EC91*EC95*EC97*(43511/1814400 + (1409*PI()^2)/532224) + EC102*EC91^2*EC97*(101/2240 + (59*PI()^2)/9600) + EC102*EC91*EC92*EC95*(2537/30240 + (1139*PI()^2)/100800) + EC102*EC91^2*EC92*(19/120 + (29*PI()^2)/1120))","v":""},"","","","","","","","","","","","","",""]
[null,91,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.7913669064748202E-2,{"$f":"IF(C$34=\"\",\"\",IF(ROW()-ROW(S$27)>B$17,\"\",SMALL(INDEX($C$34:$C$10033,1,1):INDEX($C$34:$C$10033,B$17,1),ROW()-ROW(S$27))))","v":4},0.9300000000000006,16.602722259710063,1.7766061267735705E-2,16.792789031385674,16.443937810857179,16.655172988000029,16.134364820756318,16.63378534939968,16.705039565536506,16.844906502913446,16.696089712720308,16.602722259710063,16.601367154339254,16.635310845709391,16.62322340053959,16.56313012428193,16.567195993915121,16.64116722981176,1.716861256668048E-2,1.9281067375182141E-2,2.2610485397698901E-2,2.1386898011342935E-2,1.8391717696324899E-2,1.9767463102845016E-2,1.7582699103788429E-2,1.7132576078802964E-2,1.7766061267735705E-2,1.7730341903205483E-2,1.7021922240605069E-2,1.6958824907056497E-2,1.746131501477453E-2,1.7614906483451469E-2,1.5734607890642797E-2,null,2.8209495699438047,2.7999568871540692,2.8127208581422902,2.7809514581815566,2.8114358890347311,2.8157104442905907,2.8240483264075795,2.815174543066663,2.8095666734661524,2.8094850506663422,2.811527595542286,2.8108007177062091,2.8071791482624029,2.8074245952670052,2.8118795789552866,0.28830888879386218,0.31705667284444239,0.37658154564132384,0.34506401489931476,0.3059238843674239,0.33021625324330905,0.29617892247217614,0.28604702722170022,0.29496498087720835,0.29434791570708047,0.28316496766395938,0.28191033504063523,0.28921403273078838,0.2918296081258267,0.26184224120370242,null,0.36271118267614993,0.39895042515919815,0.45742832589549459,0.44789813802490208,0.37754367706400366,0.39470498793769843,0.35342768380862027,0.35769979243858641,0.3774064807443569,0.37711147737047829,0.36171438861955274,0.36305292438393749,0.38297874809388988,0.38340659064050564,0.34274209102066017,null,1,-3.5717540968765236,1.6882319724085439,-0.47266187050359715,0.22340924382795924,-0.79796288192259957,-0.10559703107551743,0.37716662836197695,4.9911690227780539E-2,-0.17827228405310708,-2.359135286305886E-2,8.426251123949019E-2,1.1150732971963792E-2,-3.9827676175787807E-2,-5.2705263040145412E-3,1.8825023919059419E-2,1.3862943611198906,null,2.2733812949640289E-2,4,null,null,{"$f":"IF(OR(ISERROR(AV29),$B$11<>\"u\"),\"\",(2888008157*EC103*EC104^3)/589503169717862000 + (31730711*EC103*EC104^2*EC93)/27969870888960 + (107*EC102*EC93^2*EC94)/221760 + (907*EC102*EC94^3)/60540480 + (661*EC102*EC93*EC94*EC95)/369600 + (46522243*EC103*EC104^2*EC96)/175447371939840 + (939*EC102*EC93*EC94*EC96)/4484480 + (8993*EC102*EC94*EC95*EC96)/22014720 + (7339*EC102*EC92*EC96^2)/30750720 + (229*EC102*EC94*EC96^2)/9784320 + (137*EC102*EC93^2*EC97)/118272 + (133421*EC102*EC94^2*EC97)/1210809600 + (5099*EC102*EC93*EC96*EC97)/9784320 + (947*EC102*EC96^2*EC97)/15769600 + (157*EC102*EC93^2*EC98)/1223040 + (2371*EC102*EC94^2*EC98)/201801600 + (109701*EC102*EC93*EC95*EC98)/224224000 + (83*EC102*EC93*EC96*EC98)/1478400 + (16517*EC102*EC95*EC96*EC98)/146764800 + (7713*EC102*EC96^2*EC98)/1219778560 + (3701*EC102*EC94*EC97*EC98)/61152000 + (6103*EC102*EC92*EC98^2)/183456000 + (21547*EC102*EC94*EC98^2)/6861254400 + (32143*EC102*EC97*EC98^2)/3818880000 + (1039*EC102*EC98^3)/3651648000 + (8993*EC102*EC93*EC94*EC99)/22014720 + (11689*EC102*EC94*EC96*EC99)/124185600 + (16517*EC102*EC93*EC98*EC99)/146764800 + (661363*EC102*EC96*EC98*EC99)/25333862400 + EC103^2*EC104^2*(72379420806883/1.13803586914033E+21 + PI()^2/905969664) + EC103*EC104^2*EC99*(536568051133/1013208572952570000 + PI()^2/104857600) + EC103*EC104*EC105^2*(786082181159651/4.13064871021306E+21 + (294921313*PI()^2)/21833450730291200) + EC103^3*EC104*(14228879003947/42554760064008100000 + (3788707301*PI()^2)/182465266817433000) + EC103*EC104^2*EC95*(973676323/440525466501120 + PI()^2/24117248) + EC103^2*EC104*EC96*(973676323/440525466501120 + PI()^2/24117248) + EC103^2*EC98^2*(36917610089/13140674426880000 + (197*PI()^2)/3801907200) + EC103*EC104*EC105*EC94*(3463536649/1387655219478520 + (5*PI()^2)/94961664) + EC103*EC104^2*EC91*(778001383/84100316332032 + PI()^2/5505024) + EC103^2*EC104*EC93*(778001383/84100316332032 + PI()^2/5505024) + EC103^2*EC105*EC98*(18651612383237/6607881997516800000 + (12891473*PI()^2)/65957658624000) + EC103^2*EC104*EC99*(3776249956033/925103479652352000 + (46522243*PI()^2)/175447371939840) + EC103^3*EC96*(58192725971/10512539541504000 + (31730711*PI()^2)/83909612666880) + EC103^2*EC94*EC98*(322937821/16467010560000 + (977*PI()^2)/2579865600) + EC103^2*EC96^2*(4651811/239520153600 + PI()^2/2490368) + EC102*EC98*EC99^2*(59091083/2352430080000 + (1531*PI()^2)/3186892800) + EC103^2*EC105*EC94*(285816612371/30035827261440000 + (15341849*PI()^2)/22081477017600) + EC103^2*EC94^2*(511843/14902272000 + (19*PI()^2)/27156480) + EC103^2*EC104*EC95*(58192725971/3504179847168000 + (31730711*PI()^2)/27969870888960) + EC103^3*EC93*(109810619/4879114240000 + (7759469*PI()^2)/4767591628800) + EC102*EC94*EC99^2*(8517037/96864768000 + (1277*PI()^2)/723824640) + EC103*EC104*EC105*EC92*(136441921439/6570337213440000 + (405761*PI()^2)/204857452800) + EC102*EC97^2*EC98*(823/11827200 + (2571*PI()^2)/1219778560) + EC103^2*EC97*EC98*(630247147/14637342720000 + (1856611*PI()^2)/529732403200) + EC103^2*EC93*EC96*(264263/1614412800 + PI()^2/278528) + EC102*EC95*EC98*EC99*(566567/2690688000 + (2571*PI()^2)/609889280) + EC103^2*EC104*EC91*(329431857/4879114240000 + (7759469*PI()^2)/1589197209600) + EC103^2*EC96*EC99*(329431857/4879114240000 + (7759469*PI()^2)/1589197209600) + EC102*EC96*EC97*EC99*(281041/1291530240 + (15*PI()^2)/2680832) + EC102*EC94*EC97^2*(835577/3459456000 + (229*PI()^2)/29352960) + EC103^2*EC93^2*(4193641/12108096000 + PI()^2/122880) + EC102*EC95^2*EC98*(255121/576576000 + (83*PI()^2)/8870400) + EC103^2*EC94*EC97*(476597/3302208000 + (949853*PI()^2)/75277762560) + EC103^2*EC92*EC98*(89900009/581188608000 + (19398569*PI()^2)/1317360844800) + EC102*EC94*EC95*EC99*(1279657/1729728000 + (229*PI()^2)/14676480) + EC102*EC97*EC99^2*(30948661/166053888000 + (85363*PI()^2)/5322670080) + EC102*EC92*EC97*EC98*(1261069/2421619200 + (83*PI()^2)/4435200) + EC102*EC97^3*(77297/489216000 + (947*PI()^2)/47308800) + EC103^2*EC95*EC96*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EC103^2*EC93*EC99*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EC102*EC92*EC96*EC99*(13277477/16144128000 + PI()^2/40320) + EC102*EC95*EC96*EC97*(3146329/3459456000 + PI()^2/40320) + EC102*EC93*EC97*EC99*(3146329/3459456000 + PI()^2/40320) + EC102*EC94*EC95^2*(277/177408 + (313*PI()^2)/8968960) + EC103^2*EC92*EC94*(1658521/3228825600 + (138059*PI()^2)/2583060480) + EC102*EC92*EC99^2*(119487/179379200 + (873713*PI()^2)/12915302400) + EC103^2*EC93*EC95*(8968709/8072064000 + (1423*PI()^2)/15375360) + EC103^2*EC91*EC96*(8968709/8072064000 + (1423*PI()^2)/15375360) + EC102*EC92*EC95*EC96*(3393/985600 + (9*PI()^2)/81536) + EC102*EC93*EC95*EC97*(16963/4435200 + (9*PI()^2)/81536) + EC102*EC95*EC97*EC99*(18163237/12108096000 + (99377*PI()^2)/717516800) + EC102*EC92*EC97^2*(901/554400 + (54517*PI()^2)/215255040) + EC102*EC95^2*EC97*(26687/8870400 + (12965*PI()^2)/43051008) + EC103^2*EC91*EC93*(1421/316800 + (88069*PI()^2)/215255040) + EC102*EC92*EC95*EC99*(337/63360 + (63253*PI()^2)/107627520) + EC103^4*(46326137919619/77091956637696000000 + (536568051133*PI()^2)/6079251437715450000 + (7*PI()^4)/6291456000) + EC103^2*EC105^2*(68748722466973/97702255248998400000 + (317564198668523*PI()^2)/2.84508967285083E+21 + (7*PI()^4)/4529848320) + EC103^3*EC99*(1498706488997/157688093122560000 + (973676323*PI()^2)/660788199751680 + (7*PI()^4)/361758720) + EC103^2*EC105*EC97*(1405333045871/70083596943360000 + (3287321647*PI()^2)/881050933002240 + (7*PI()^4)/120586240) + EC103^3*EC95*(4753519363/127031224320000 + (778001383*PI()^2)/126150474498048 + PI()^4/11796480) + EC103^2*EC99^2*(4753519363/84687482880000 + (778001383*PI()^2)/84100316332032 + PI()^4/7864320) + EC103^2*EC105*EC92*(162756492077/2371249520640000 + (62419064077*PI()^2)/4205015816601600 + PI()^4/3932160) + EC103^3*EC91*(5804629/39626496000 + (4651811*PI()^2)/179640115200 + (7*PI()^4)/18677760) + EC103^2*EC97^2*(2956787/21525504000 + (82706627*PI()^2)/2634721689600 + (7*PI()^4)/12451840) + EC103^2*EC95*EC99*(5804629/13208832000 + (4651811*PI()^2)/59880038400 + (7*PI()^4)/6225920) + EC103^2*EC95^2*(20662987/24216192000 + (264263*PI()^2)/1614412800 + (7*PI()^4)/2785280) + EC103^2*EC92*EC97*(21792973/24216192000 + (269219*PI()^2)/1076275200 + (7*PI()^4)/1392640) + EC103^2*EC91*EC99*(20662987/12108096000 + (264263*PI()^2)/807206400 + (7*PI()^4)/1392640) + EC103^2*EC92^2*(63913/45619200 + (7414199*PI()^2)/14902272000 + (7*PI()^4)/614400) + EC103^2*EC91*EC95*(130751/19958400 + (4193641*PI()^2)/3027024000 + (7*PI()^4)/307200) + EC103^2*EC91^2*(3737/302400 + (13063*PI()^2)/4435200 + (7*PI()^4)/133120))","v":""},"","","","","","","","","","","","","",""]
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+ (563*EC103*EC93^3)/201600 + (10277*EC103*EC104*EC94^2)/1197600768 + (197*EC103*EC93*EC94^2)/277200 + (1593269*EC103*EC104*EC93*EC96)/37638881280 + (1627*EC103*EC93^2*EC96)/887040 + (7759469*EC103*EC104*EC96^2)/1589197209600 + (21097249*EC103*EC104*EC94*EC98)/4417033420800 + (211877*EC103*EC93*EC94*EC98)/550368000 + (1842657923*EC103*EC104*EC98^2)/2753284165632000 + EC103*EC104*EC105*EC98*(1025255905243/1418492002133600000 + PI()^2/68812800) + EC103*EC105^2*EC96*(292633889201/94398314250240000 + (42397837*PI()^2)/175447371939840) + EC103*EC104*EC97*EC98*(30839421971/2628134885376000 + PI()^2/3655680) + EC103*EC105*EC96*EC98*(326317602361/26281348853760000 + PI()^2/3655680) + EC103*EC104*EC96*EC99*(778001383/42050158166016 + PI()^2/2752512) + EC103*EC104*EC105*EC97*(8011766650903/1387655219478520000 + (16721669*PI()^2)/35089474387968) + EC103*EC104*EC94*EC97*(4120423/101335449600 + PI()^2/992256) + EC103*EC105*EC94*EC96*(259163/6031872000 + PI()^2/992256) + EC103*EC105^2*EC93*(13400463413/1072708116480000 + (431249713*PI()^2)/419548063334400) + EC103*EC104*EC99^2*(58192725971/3504179847168000 + (31730711*PI()^2)/27969870888960) + EC103*EC104*EC92*EC98*(1459537649/32934021120000 + (7*PI()^2)/5836800) + EC103*EC105*EC93*EC98*(13480409/261381120000 + (7*PI()^2)/5836800) + EC103*EC104*EC95*EC96*(4651811/59880038400 + PI()^2/622592) + EC103*EC104*EC93*EC99*(4651811/59880038400 + PI()^2/622592) + EC103*EC105*EC98*EC99*(85802780663/3754478407680000 + (6153607*PI()^2)/3701894676480) + EC103*EC104*EC97^2*(1891658863/43912028160000 + (6808519*PI()^2)/1589197209600) + EC103*EC104*EC92*EC94*(8108839/52835328000 + (7*PI()^2)/1566720) + EC103*EC105*EC93*EC94*(21173/118609920 + (7*PI()^2)/1566720) + EC103*EC105*EC94*EC99*(45601474571/592812380160000 + (14991763*PI()^2)/2524019097600) + EC103*EC105*EC95*EC98*(2608479667/28229160960000 + (10157453*PI()^2)/1430277488640) + EC103*EC104*EC93*EC95*(264263/807206400 + PI()^2/139264) + EC103*EC104*EC91*EC96*(264263/807206400 + PI()^2/139264) + EC103*EC105*EC96*EC97*(2042843093/21956014080000 + (1723291*PI()^2)/198649651200) + EC103*EC91*EC98^2*(1254479/3027024000 + (13*PI()^2)/1478400) + EC103*EC104*EC95*EC99*(329431857/2439557120000 + (7759469*PI()^2)/794598604800) + EC103*EC104*EC95^2*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EC103*EC92*EC96*EC98*(3711157/4843238400 + PI()^2/42240) + EC103*EC105*EC94*EC95*(135250979/435891456000 + (2882471*PI()^2)/112916643840) + EC103*EC105*EC91*EC98*(2462833/6604416000 + (1545749*PI()^2)/50667724800) + EC103*EC104*EC91*EC93*(4193641/3027024000 + PI()^2/30720) + EC103*EC104*EC92*EC97*(399757/1317888000 + (5297*PI()^2)/147026880) + EC103*EC105*EC92*EC96*(95804531/290594304000 + (685309*PI()^2)/18819440640) + EC103*EC105*EC93*EC97*(500377/1345344000 + (1403651*PI()^2)/37638881280) + EC103*EC104*EC91*EC99*(39838781/72648576000 + (1593269*PI()^2)/37638881280) + EC103*EC91*EC94*EC98*(9733/3326400 + (191*PI()^2)/2882880) + EC103*EC91*EC96^2*(13063/4435200 + PI()^2/13312) + EC103*EC93^2*EC99*(13063/4435200 + PI()^2/13312) + EC103*EC104*EC92^2*(100868029/193729536000 + (4691*PI()^2)/61501440) + EC103*EC92*EC94*EC96*(23563/8870400 + (5*PI()^2)/54912) + EC103*EC93*EC94*EC97*(4349/1478400 + (5*PI()^2)/54912) + EC103*EC92*EC93*EC98*(6073/1900800 + PI()^2/9360) + EC103*EC105*EC91*EC94*(45320551/36324288000 + (32909*PI()^2)/298045440) + EC103*EC92*EC98*EC99*(59918237/48432384000 + (58769*PI()^2)/461260800) + EC103*EC91*EC94^2*(673/129600 + (17*PI()^2)/133056) + EC103*EC105*EC92*EC93*(9472241/7264857600 + (17431*PI()^2)/110702592) + EC103*EC104*EC91*EC95*(8968709/4036032000 + (1423*PI()^2)/7687680) + EC103*EC93^2*EC95*(141/11200 + PI()^2/2816) + EC103*EC104*EC91^2*(1421/316800 + (88069*PI()^2)/215255040) + EC103*EC92*EC93*EC94*(20063/1814400 + PI()^2/2376) + EC103*EC92*EC94*EC99*(325477/79833600 + (452407*PI()^2)/968647680) + EC103*EC92*EC95*EC98*(65479/13305600 + (2241643*PI()^2)/4036032000) + EC103*EC91*EC97*EC98*(1237/221760 + (254827*PI()^2)/448448000) + EC103*EC92*EC96*EC97*(4559/985600 + (12269*PI()^2)/17937920) + EC103*EC91*EC93*EC96*(141/5600 + PI()^2/1408) + EC103*EC91*EC96*EC99*(1421/158400 + (88069*PI()^2)/107627520) + EC103*EC92^2*EC96*(725/96768 + (41*PI()^2)/27720) + EC103*EC91*EC93^2*(409/7560 + PI()^2/576) + EC103*EC92*EC94*EC95*(29069/1814400 + (27431*PI()^2)/13305600) + EC103*EC91*EC94*EC97*(33251/1814400 + (28031*PI()^2)/13305600) + EC103*EC91*EC92*EC98*(11749/604800 + (5417*PI()^2)/2217600) + EC103*EC92*EC93*EC97*(32009/1814400 + (8047*PI()^2)/2661120) + EC103*EC91*EC95*EC96*(21757/604800 + (1627*PI()^2)/443520) + EC103*EC91*EC93*EC99*(21757/604800 + (1627*PI()^2)/443520) + EC103*EC92^2*EC93*(163/6048 + (1339*PI()^2)/201600) + EC103*EC91^2*EC96*(359/5040 + (563*PI()^2)/67200) + EC103*EC91*EC92*EC94*(937/15120 + (929*PI()^2)/100800) + EC103*EC91*EC93*EC95*(359/2520 + (563*PI()^2)/33600) + EC103*EC91^2*EC93*(11/40 + (11*PI()^2)/280) + EC103*EC105^2*EC99*(137543773568059/24779557490688000000 + (216133910851*PI()^2)/233817362989056000 + (7*PI()^4)/524288000) + EC103*EC105^2*EC95*(37806414649/1732836188160000 + (158305981*PI()^2)/41299262484480 + (7*PI()^4)/120586240) + EC103*EC105^2*EC91*(3615811363/42343741440000 + (597658993*PI()^2)/37544784076800 + PI()^4/3932160) + EC103*EC105*EC97*EC99*(2574162709/16467010560000 + (21719497753*PI()^2)/700835969433600 + PI()^4/1966080) + EC103*EC105*EC92*EC99*(2046389/3874590720 + (325016117*PI()^2)/2634721689600 + (7*PI()^4)/3112960) + EC103*EC105*EC95*EC97*(527837263/871782912000 + (127339657*PI()^2)/988020633600 + (7*PI()^4)/3112960) + EC103*EC105*EC92*EC95*(146222183/72648576000 + (6211897*PI()^2)/12108096000 + (7*PI()^4)/696320) + EC103*EC105*EC91*EC97*(4694779/2018016000 + (5775139*PI()^2)/10762752000 + (7*PI()^4)/696320) + EC103*EC91*EC99^2*(130751/19958400 + (4193641*PI()^2)/3027024000 + (7*PI()^4)/307200) + EC103*EC92*EC97*EC99*(76049/11404800 + (14429791*PI()^2)/6918912000 + (7*PI()^4)/153600) + EC103*EC105*EC91*EC92*(18911/2494800 + (103338527*PI()^2)/48432384000 + (7*PI()^4)/153600) + EC103*EC92^2*EC99*(1991/201600 + (8171*PI()^2)/1971200 + (7*PI()^4)/66560) + EC103*EC91*EC97^2*(81/5600 + (421*PI()^2)/92400 + (7*PI()^4)/66560) + EC103*EC92*EC95*EC97*(17477/725760 + (115697*PI()^2)/13305600 + (7*PI()^4)/33280) + EC103*EC91*EC95*EC99*(3737/75600 + (13063*PI()^2)/1108800 + (7*PI()^4)/33280) + EC103*EC92^2*EC95*(997/30240 + (6949*PI()^2)/403200 + (7*PI()^4)/14080) + EC103*EC91*EC95^2*(457/5040 + (141*PI()^2)/5600 + (7*PI()^4)/14080) + EC103*EC91^2*EC99*(457/5040 + (141*PI()^2)/5600 + (7*PI()^4)/14080) + EC103*EC91*EC92*EC97*(211/2520 + (2431*PI()^2)/67200 + (7*PI()^4)/7040) + EC103*EC91*EC92^2*(1/10 + (4303*PI()^2)/60480 + (7*PI()^4)/2880) + EC103*EC91^2*EC95*(19/60 + (409*PI()^2)/3780 + (7*PI()^4)/2880) + EC103*EC91^3*(1/3 + (7*PI()^2)/45 + PI()^4/240))","v":""},"","","","","","","","","","","","","",""]
[null,93,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2.8489208633093524E-2,{"$f":"IF(C$34=\"\",\"\",IF(ROW()-ROW(S$27)>B$17,\"\",SMALL(INDEX($C$34:$C$10033,1,1):INDEX($C$34:$C$10033,B$17,1),ROW()-ROW(S$27))))","v":4},0.95000000000000062,17.971525309371323,1.1954715742912625E-2,18.205600290605286,17.698122070726228,17.697007726466421,17.283233140160132,17.923230413577421,17.886090640125961,18.163519178288269,18.087982919096529,17.971525309371323,17.97339524060574,18.051244458849034,18.050122739280784,17.986188551089302,17.976778417746669,18.149441871550298,1.1554885594449869E-2,1.3052848164314105E-2,1.6105430879720023E-2,1.4042594351331525E-2,1.2982329331024715E-2,1.4337082876941729E-2,1.2987227190650036E-2,1.1998081006532307E-2,1.1954715742912625E-2,1.192598872840407E-2,1.1694188280102132E-2,1.1571740510821275E-2,1.1310795752794615E-2,1.140348927675618E-2,1.1277113594913927E-2,null,2.9017292550252836,2.8734585362519414,2.8733955702864789,2.849736848892849,2.8860976599151615,2.8840233515688678,2.8994151417494796,2.8952477906528284,2.8887885780709373,2.8888926223257299,2.8932146274908757,2.8931524847159245,2.8896041606515031,2.8890808371134007,2.8986398093592705,0.21036362853622734,0.2310109001826858,0.28501793471647613,0.24270143206675848,0.2326852799049004,0.25643436385197765,0.23589375015015879,0.21702108430809289,0.21484447654009406,0.2143505090506154,0.21109465139193093,0.2088713365274317,0.203438105072624,0.20499799991739609,0.20467331766975996,null,0.28830888879386218,0.31705667284444239,0.37658154564132384,0.34506401489931476,0.3059238843674239,0.33021625324330905,0.29617892247217614,0.28604702722170022,0.29496498087720835,0.29434791570708047,0.28316496766395938,0.28191033504063523,0.28921403273078838,0.2918296081258267,0.26184224120370242,null,1,-3.5503281188643627,1.6760613752509317,-0.47208633093525182,0.22286550385590809,-0.79124566506450456,-0.10521175800737187,0.3735362628887251,4.9669032808947786E-2,-0.1763413638184039,-2.3448071459878806E-2,8.3248347437148679E-2,1.1069514023001778E-2,-3.9300406898026587E-2,-5.2257662603552284E-3,1.8553184896751833E-2,1.3862943611198906,null,2.3309352517985611E-2,4,null,null,{"$f":"IF(OR(ISERROR(AV29),$B$11<>\"u\"),\"\",EC104^4/7784628224 + (31730711*EC104^3*EC91)/83909612666880 + (EC104^3*EC93)/24117248 + (1423*EC104^2*EC91*EC93)/15375360 + (3*EC104^2*EC93^2)/557056 + (819854809*EC104^2*EC105*EC94)/5514060260966400 + (760433*EC104^2*EC92*EC94)/75277762560 + (122443*EC104*EC105*EC93*EC94)/5376983040 + (227*EC104^2*EC94^2)/476282880 + (46522243*EC104^3*EC95)/526342115819520 + (1593269*EC104^2*EC93*EC95)/75277762560 + (EC104^3*EC96)/104857600 + (1593269*EC104^2*EC91*EC96)/75277762560 + (3*EC104^2*EC93*EC96)/1245184 + (1926709*EC104*EC105*EC94*EC96)/360574156800 + (195691*EC103*EC94^2*EC96)/1210809600 + (7759469*EC104^2*EC95*EC96)/1589197209600 + (EC104^2*EC96^2)/3670016 + (88069*EC103*EC93*EC96^2)/215255040 + (1423*EC103*EC96^3)/46126080 + (219722891*EC104^2*EC94*EC97)/85816649318400 + (10088602231*EC104^2*EC105*EC98)/238942611308544000 + (59887*EC104^2*EC92*EC98)/21189296128 + (2180221*EC104*EC105*EC93*EC98)/340542259200 + (1447*EC104^2*EC94*EC98)/5556633600 + (27898883*EC104*EC105*EC96*EC98)/18509473382400 + (54959*EC103*EC94*EC96*EC98)/620928000 + (200399*EC104^2*EC97*EC98)/278337945600 + (257*EC104^2*EC98^2)/7159808000 + (30463*EC103*EC93*EC98^2)/576576000 + (50412979*EC103*EC96*EC98^2)/4116752640000 + (3788707301*EC104^3*EC99)/182465266817433000 + (7759469*EC104^2*EC93*EC99)/1589197209600 + (31730711*EC104^2*EC96*EC99)/27969870888960 + EC104^2*EC105^2*(8869697201/747994261487616000 + PI()^2/3892314112) + EC104^2*EC105*EC97*(658409168873/1736928982204410000 + PI()^2/104857600) + EC104*EC105^2*EC96*(2569694549/6385768316928000 + PI()^2/104857600) + EC104^2*EC99^2*(973676323/881050933002240 + PI()^2/48234496) + EC104^2*EC105*EC92*(3574460497/2517288380006400 + PI()^2/24117248) + EC104*EC105^2*EC93*(19346953/11654112870400 + PI()^2/24117248) + EC104*EC105^2*EC99*(222451385227/289488163700736000 + (3468884941*PI()^2)/60821755605811200) + EC104*EC105*EC98*EC99*(4709825521/1573305237504000 + (9*PI()^2)/143196160) + EC104^2*EC97^2*(5553941/1832250900480 + PI()^2/11010048) + EC104^2*EC95*EC99*(778001383/84100316332032 + PI()^2/5505024) + EC104*EC105*EC94*EC99*(10880345711/1051253954150400 + PI()^2/4358144) + EC104*EC105^2*EC95*(292633889201/94398314250240000 + (42397837*PI()^2)/175447371939840) + EC104*EC105*EC95*EC98*(326317602361/26281348853760000 + PI()^2/3655680) + EC104*EC105*EC96*EC97*(27073198069/2102507908300800 + PI()^2/2752512) + EC104^2*EC95^2*(4651811/239520153600 + PI()^2/2490368) + EC103*EC98^2*EC99*(32237357/1372250880000 + (29*PI()^2)/64204800) + EC104^2*EC92*EC97*(39665033/1756481126400 + PI()^2/1245184) + EC104^2*EC91*EC99*(4651811/119760076800 + PI()^2/1245184) + EC104*EC105*EC94*EC95*(259163/6031872000 + PI()^2/992256) + EC104*EC105^2*EC91*(13400463413/1072708116480000 + (431249713*PI()^2)/419548063334400) + EC104*EC105*EC91*EC98*(13480409/261381120000 + (7*PI()^2)/5836800) + EC104*EC105*EC92*EC96*(18066079/376388812800 + PI()^2/622592) + EC104*EC105*EC93*EC97*(4995871/94097203200 + PI()^2/622592) + EC104^2*EC92^2*(2152883/51661209600 + PI()^2/557056) + EC103*EC95*EC98^2*(47711/484323840 + (101*PI()^2)/50918400) + EC104*EC105*EC97*EC99*(6222991597/268177029120000 + (425527139*PI()^2)/209774031667200) + EC103*EC94*EC98*EC99*(1707499/10378368000 + (373*PI()^2)/112020480) + EC104^2*EC91*EC95*(264263/1614412800 + PI()^2/278528) + EC103*EC96^2*EC99*(264263/1614412800 + PI()^2/278528) + EC104*EC105*EC91*EC94*(21173/118609920 + (7*PI()^2)/1566720) + EC103*EC96*EC97*EC98*(546241/2690688000 + (3*PI()^2)/565760) + EC103*EC94^2*EC99*(70751/244608000 + (41*PI()^2)/6589440) + EC104*EC105*EC92*EC93*(10819/54912000 + PI()^2/139264) + EC104^2*EC91^2*(4193641/12108096000 + PI()^2/122880) + EC104*EC105*EC92*EC99*(5461441669/65868042240000 + (4487001*PI()^2)/529732403200) + EC104*EC105*EC95*EC97*(2042843093/21956014080000 + (1723291*PI()^2)/198649651200) + EC103*EC94*EC95*EC98*(12577183/18162144000 + (73*PI()^2)/4942080) + EC103*EC95*EC96^2*(4193641/6054048000 + PI()^2/61440) + EC103*EC94*EC96*EC97*(1552433/2201472000 + PI()^2/49920) + EC103*EC96*EC99^2*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EC103*EC93*EC97*EC98*(569629/672672000 + PI()^2/42240) + EC103*EC94^2*EC95*(146429/119750400 + (83*PI()^2)/2965248) + EC103*EC97*EC98*EC99*(5602291/16144128000 + (1526573*PI()^2)/50667724800) + EC103*EC93*EC96*EC99*(4193641/3027024000 + PI()^2/30720) + EC104*EC105*EC92*EC95*(95804531/290594304000 + (685309*PI()^2)/18819440640) + EC104*EC105*EC91*EC97*(500377/1345344000 + (1403651*PI()^2)/37638881280) + EC103*EC96*EC97^2*(1216867/1793792000 + (2461*PI()^2)/30750720) + EC103*EC93*EC99^2*(8968709/8072064000 + (1423*PI()^2)/15375360) + EC103*EC94*EC97*EC99*(14027807/12108096000 + (9413*PI()^2)/86102016) + EC103*EC95*EC97*EC98*(202589633/145297152000 + (16397*PI()^2)/125798400) + EC103*EC93*EC95*EC96*(13063/2217600 + PI()^2/6656) + EC104*EC105*EC91*EC92*(9472241/7264857600 + (17431*PI()^2)/110702592) + EC103*EC95*EC96*EC99*(8968709/4036032000 + (1423*PI()^2)/7687680) + EC103*EC93*EC97^2*(5899/2217600 + (75329*PI()^2)/215255040) + EC103*EC95^2*EC96*(1421/316800 + (88069*PI()^2)/215255040) + EC103*EC94*EC95*EC97*(1108007/239500800 + (1387601*PI()^2)/2905943040) + EC103*EC93*EC95*EC99*(1421/158400 + (88069*PI()^2)/107627520) + EC104*EC91^2*EC93*(409/7560 + PI()^2/576) + EC103*EC93*EC95^2*(21757/1209600 + (1627*PI()^2)/887040) + EC104*EC91^3*(11/120 + (11*PI()^2)/840) + EC103*EC99^3*(5804629/39626496000 + (4651811*PI()^2)/179640115200 + (7*PI()^4)/18677760) + EC103*EC97^2*EC99*(25339549/24216192000 + (140807*PI()^2)/538137600 + (7*PI()^4)/1392640) + EC103*EC95*EC99^2*(20662987/12108096000 + (264263*PI()^2)/807206400 + (7*PI()^4)/1392640) + EC103*EC95*EC97^2*(941011/239500800 + (79314709*PI()^2)/72648576000 + (7*PI()^4)/307200) + EC103*EC95^2*EC99*(130751/19958400 + (4193641*PI()^2)/3027024000 + (7*PI()^4)/307200) + EC103*EC95^3*(3737/453600 + (13063*PI()^2)/6652800 + (7*PI()^4)/199680))","v":""},"","","","","","","","","","","","","",""]
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+ (EC104*EC93^3)/2816 + (7277*EC104*EC92*EC93*EC94)/4435200 + (197*EC104*EC91*EC94^2)/277200 + (83*EC104*EC93*EC94^2)/988416 + (1627*EC104*EC93^2*EC95)/887040 + (195691*EC104*EC94^2*EC95)/1210809600 + (1627*EC104*EC91*EC93*EC96)/443520 + (3*EC104*EC93^2*EC96)/13312 + (364207*EC104*EC92*EC94*EC96)/968647680 + (41*EC104*EC94^2*EC96)/2196480 + (88069*EC104*EC93*EC95*EC96)/107627520 + (88069*EC104*EC91*EC96^2)/215255040 + (EC104*EC93*EC96^2)/20480 + (1423*EC104*EC95*EC96^2)/15375360 + (EC104*EC96^3)/278528 + (43843*EC104*EC93*EC94*EC97)/107627520 + (24319*EC104*EC94*EC96*EC97)/258306048 + (603481*EC104*EC92*EC93*EC98)/1345344000 + (211877*EC104*EC91*EC94*EC98)/550368000 + (73*EC104*EC93*EC94*EC98)/1647360 + (54959*EC104*EC94*EC95*EC98)/620928000 + (47849*EC104*EC92*EC96*EC98)/461260800 + (373*EC104*EC94*EC96*EC98)/37340160 + (121*EC104*EC93*EC97*EC98)/1075200 + (1326653*EC104*EC96*EC97*EC98)/50667724800 + (30463*EC104*EC91*EC98^2)/576576000 + (101*EC104*EC93*EC98^2)/16972800 + (50412979*EC104*EC95*EC98^2)/4116752640000 + (29*EC104*EC96*EC98^2)/21401600 + (88069*EC104*EC93^2*EC99)/215255040 + (53903*EC104*EC94^2*EC99)/1452971520 + (1423*EC104*EC93*EC96*EC99)/7687680 + (1593269*EC104*EC96^2*EC99)/75277762560 + (6750839*EC104*EC94*EC98*EC99)/329340211200 + (8508541*EC104*EC98^2*EC99)/2979744768000 + EC105^3*EC98*(654064370143/3618602046259200000 + (10088602231*PI()^2)/716827833925632000) + EC105^3*EC94*(3820988011/6293220950016000 + (819854809*PI()^2)/16542180782899200) + EC105^2*EC93*EC96*(115853/4073472000 + PI()^2/1245184) + EC104*EC96*EC99^2*(4651811/119760076800 + PI()^2/1245184) + EC104*EC97*EC98*EC99*(8193869/168030720000 + (7*PI()^2)/5836800) + EC104*EC99^3*(109810619/4879114240000 + (7759469*PI()^2)/4767591628800) + EC105^2*EC93^2*(39389/658944000 + PI()^2/557056) + EC105^2*EC92*EC98*(127374197/4342947840000 + (43997669*PI()^2)/14302774886400) + EC104*EC96*EC97^2*(1217/11827200 + PI()^2/278528) + EC104*EC93*EC99^2*(264263/1614412800 + PI()^2/278528) + EC104*EC94*EC97*EC99*(420281/2483712000 + (7*PI()^2)/1566720) + EC104*EC92*EC98*EC99*(5945039/32288256000 + (3*PI()^2)/565760) + EC104*EC95*EC97*EC98*(546241/2690688000 + (3*PI()^2)/565760) + EC104*EC95*EC96*EC99*(264263/807206400 + PI()^2/139264) + EC105^2*EC92*EC94*(434887/4447872000 + (494927*PI()^2)/45166657536) + EC104*EC93*EC97^2*(103511/244608000 + PI()^2/61440) + EC104*EC95^2*EC96*(4193641/6054048000 + PI()^2/61440) + EC104*EC97^2*EC99*(5536651/32288256000 + (277813*PI()^2)/15055552512) + EC105^2*EC93*EC95*(4202747/20756736000 + (1418237*PI()^2)/75277762560) + EC105^2*EC91*EC96*(4202747/20756736000 + (1418237*PI()^2)/75277762560) + EC104*EC92*EC94*EC99*(30910921/48432384000 + PI()^2/49920) + EC104*EC94*EC95*EC97*(1552433/2201472000 + PI()^2/49920) + EC104*EC95*EC99^2*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EC104*EC92*EC95*EC98*(3711157/4843238400 + PI()^2/42240) + EC104*EC91*EC97*EC98*(569629/672672000 + PI()^2/42240) + EC104*EC92*EC96*EC97*(1362103/1793792000 + PI()^2/30720) + EC104*EC93*EC95*EC99*(4193641/3027024000 + PI()^2/30720) + EC104*EC91*EC96*EC99*(4193641/3027024000 + PI()^2/30720) + EC104*EC92^2*EC96*(3491/2534400 + PI()^2/13312) + EC104*EC93*EC95^2*(13063/4435200 + PI()^2/13312) + EC104*EC95*EC97^2*(1216867/1793792000 + (2461*PI()^2)/30750720) + EC105^2*EC91*EC93*(8522273/10378368000 + (5617*PI()^2)/69189120) + EC104*EC92*EC94*EC95*(23563/8870400 + (5*PI()^2)/54912) + EC104*EC91*EC94*EC97*(4349/1478400 + (5*PI()^2)/54912) + EC104*EC95^2*EC99*(8968709/8072064000 + (1423*PI()^2)/15375360) + EC104*EC91*EC99^2*(8968709/8072064000 + (1423*PI()^2)/15375360) + EC104*EC91*EC92*EC98*(6073/1900800 + PI()^2/9360) + EC104*EC95^3*(1421/950400 + (88069*PI()^2)/645765120) + EC104*EC92*EC93*EC97*(13723/4435200 + PI()^2/6656) + EC104*EC91*EC95*EC96*(13063/2217600 + PI()^2/6656) + EC104*EC91*EC93*EC99*(13063/2217600 + PI()^2/6656) + EC104*EC92*EC97*EC99*(5770357/4843238400 + (9613*PI()^2)/61501440) + EC104*EC92^2*EC99*(35459/17740800 + (71899*PI()^2)/215255040) + EC104*EC91*EC97^2*(5899/2217600 + (75329*PI()^2)/215255040) + EC104*EC92^2*EC93*(247/44800 + PI()^2/2816) + EC104*EC91^2*EC96*(141/11200 + PI()^2/2816) + EC104*EC91*EC92*EC94*(20063/1814400 + PI()^2/2376) + EC104*EC92*EC95*EC97*(4559/985600 + (12269*PI()^2)/17937920) + EC104*EC91*EC93*EC95*(141/5600 + PI()^2/1408) + EC104*EC91*EC95*EC99*(1421/158400 + (88069*PI()^2)/107627520) + EC104*EC92^2*EC95*(725/96768 + (41*PI()^2)/27720) + EC104*EC91*EC95^2*(21757/1209600 + (1627*PI()^2)/887040) + EC104*EC91^2*EC99*(21757/1209600 + (1627*PI()^2)/887040) + EC104*EC91*EC92*EC97*(32009/1814400 + (8047*PI()^2)/2661120) + EC104*EC91*EC92^2*(163/6048 + (1339*PI()^2)/201600) + EC104*EC91^2*EC95*(359/5040 + (563*PI()^2)/67200) + EC105^4*(13949329966703/597707914464460000000 + (8869697201*PI()^2)/2243982784462840000 + (7*PI()^4)/116769423360) + EC105^3*EC97*(138845484931/104115787776000000 + (452455362067*PI()^2)/1736928982204410000 + (7*PI()^4)/1572864000) + EC105^3*EC92*(9873637027/2145416232960000 + (119283113*PI()^2)/116182540615680 + (7*PI()^4)/361758720) + EC105^2*EC92*EC97*(162354289/871782912000 + (4007782109*PI()^2)/79041650688000 + (7*PI()^4)/6225920) + EC105^2*EC91*EC99*(975683/2935296000 + (19823831*PI()^2)/299400192000 + (7*PI()^4)/6225920) + EC105^2*EC92^2*(43799149/145297152000 + (77097479*PI()^2)/774918144000 + (7*PI()^4)/2785280) + EC105^2*EC91*EC95*(15535007/12108096000 + (13372013*PI()^2)/48432384000 + (7*PI()^4)/1392640) + EC105^2*EC91^2*(47407/19958400 + (7089557*PI()^2)/12108096000 + (7*PI()^4)/614400))","v":""},"","","","","","","","","","","","","",""]
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+ (37133*EC105*EC94^3)/1210809600 + (184501*EC105*EC93*EC94*EC96)/440294400 + (9679*EC105*EC94*EC96^2)/198696960 + (693241*EC105*EC93^2*EC98)/2690688000 + (911633*EC105*EC94^2*EC98)/36324288000 + (3517*EC105*EC93*EC96*EC98)/29952000 + (1384181*EC105*EC96^2*EC98)/101335449600 + (14296187*EC105*EC94*EC98^2)/2058376320000 + (344657*EC105*EC98^3)/532097280000 + 2*EC91^3*EC93*PI()^2 + (7*EC91^4*PI()^4)/15 + EC105^2*EC98^2*(10199087597/19666315468800000 + (257*PI()^2)/21479424000) + EC105^2*EC94*EC98*(31381678591/8760449617920000 + (1447*PI()^2)/16669900800) + EC105^2*EC96^2*(1109328277/323462755123200 + PI()^2/11010048) + EC105^2*EC94^2*(3008293/483928473600 + (227*PI()^2)/1428848640) + EC105*EC97*EC98^2*(188849/11309760000 + (29*PI()^2)/64204800) + EC105^2*EC97*EC98*(398791241/48759459840000 + (27483611*PI()^2)/37018946764800) + EC105^2*EC96*EC99*(13400463413/1072708116480000 + (431249713*PI()^2)/419548063334400) + EC105*EC96*EC98*EC99*(13480409/261381120000 + (7*PI()^2)/5836800) + EC105*EC92*EC98^2*(43409/691891200 + (101*PI()^2)/50918400) + EC105^2*EC94*EC97*(515086357/18819440640000 + (226093211*PI()^2)/85816649318400) + EC105*EC94*EC97*EC98*(2993/25872000 + (373*PI()^2)/112020480) + EC105*EC98*EC99^2*(2608479667/56458321920000 + (10157453*PI()^2)/2860554977280) + EC105*EC96^2*EC97*(2356499/21525504000 + PI()^2/278528) + EC105^2*EC95*EC96*(45066577/896163840000 + (6977809*PI()^2)/1589197209600) + EC105^2*EC93*EC99*(45066577/896163840000 + (6977809*PI()^2)/1589197209600) + EC105*EC94*EC96*EC99*(21173/118609920 + (7*PI()^2)/1566720) + EC105*EC95*EC96*EC98*(54987/256256000 + (3*PI()^2)/565760) + EC105*EC93*EC98*EC99*(54987/256256000 + (3*PI()^2)/565760) + EC105*EC94^2*EC97*(232289/1153152000 + (41*PI()^2)/6589440) + EC105*EC94*EC99^2*(135250979/871782912000 + (2882471*PI()^2)/225833287680) + EC105*EC97^2*EC98*(1304161/10762752000 + (1345829*PI()^2)/101335449600) + EC105*EC92*EC94*EC98*(632117/1452971520 + (73*PI()^2)/4942080) + EC105*EC92*EC96^2*(39071671/96864768000 + PI()^2/61440) + EC105*EC94*EC95*EC96*(13367/18018000 + PI()^2/49920) + EC105*EC93*EC94*EC99*(13367/18018000 + PI()^2/49920) + EC105*EC93*EC95*EC98*(1548601/1729728000 + PI()^2/42240) + EC105*EC91*EC96*EC98*(1548601/1729728000 + PI()^2/42240) + EC105*EC92*EC94^2*(90809/119750400 + (83*PI()^2)/2965248) + EC105*EC95*EC98*EC99*(2462833/6604416000 + (1545749*PI()^2)/50667724800) + EC105*EC93*EC96*EC97*(24829/27456000 + PI()^2/30720) + EC105*EC96*EC97*EC99*(500377/1345344000 + (1403651*PI()^2)/37638881280) + EC105*EC94*EC97^2*(5314657/13208832000 + (33547*PI()^2)/704471040) + EC105*EC95^2*EC98*(217960573/290594304000 + (83009*PI()^2)/1257984000) + EC105*EC93^2*EC97*(16787/8870400 + PI()^2/13312) + EC105*EC93*EC94*EC95*(2279/739200 + (5*PI()^2)/54912) + EC105*EC91*EC94*EC96*(2279/739200 + (5*PI()^2)/54912) + EC105*EC91*EC93*EC98*(3587/950400 + PI()^2/9360) + EC105*EC94*EC95*EC99*(45320551/36324288000 + (32909*PI()^2)/298045440) + EC105*EC92*EC97*EC98*(41161187/48432384000 + (85511*PI()^2)/768768000) + EC105*EC91*EC98*EC99*(217960573/145297152000 + (83009*PI()^2)/628992000) + EC105*EC92*EC93*EC96*(14603/4435200 + PI()^2/6656) + EC105*EC92*EC96*EC99*(9472241/7264857600 + (17431*PI()^2)/110702592) + EC105*EC95*EC96*EC97*(53819041/36324288000 + (44617*PI()^2)/276756480) + EC105*EC93*EC97*EC99*(53819041/36324288000 + (44617*PI()^2)/276756480) + EC105*EC92^2*EC98*(76831/53222400 + (633401*PI()^2)/2690688000) + EC105*EC94*EC95^2*(398449/159667200 + (211957*PI()^2)/880588800) + EC105*EC92*EC93^2*(303/44800 + PI()^2/2816) + EC105*EC92*EC94*EC97*(23957/8553600 + (5823481*PI()^2)/14529715200) + EC105*EC91*EC93*EC94*(2923/226800 + PI()^2/2376) + EC105*EC91*EC94*EC99*(398449/79833600 + (211957*PI()^2)/440294400) + EC105*EC91*EC95*EC98*(13283/2217600 + (2331403*PI()^2)/4036032000) + EC105*EC92*EC95*EC96*(5683/1108800 + (6141*PI()^2)/8968960) + EC105*EC92*EC93*EC99*(5683/1108800 + (6141*PI()^2)/8968960) + EC105*EC93*EC95*EC97*(13063/2217600 + (75407*PI()^2)/107627520) + EC105*EC91*EC96*EC97*(13063/2217600 + (75407*PI()^2)/107627520) + EC105*EC92^2*EC94*(6823/1451520 + (1513*PI()^2)/1774080) + EC105*EC91^2*EC98*(13639/1209600 + (851*PI()^2)/633600) + EC105*EC91*EC94*EC95*(3979/201600 + (5659*PI()^2)/2661120) + EC105*EC92*EC93*EC95*(12163/604800 + (13243*PI()^2)/4435200) + EC105*EC91*EC92*EC96*(12163/604800 + (13243*PI()^2)/4435200) + EC105*EC91*EC93*EC97*(42971/1814400 + (10151*PI()^2)/3326400) + EC105*EC91^2*EC94*(71/2016 + (49*PI()^2)/9600) + EC105*EC91*EC92*EC93*(1237/15120 + (647*PI()^2)/50400) + EC91^3*EC96*(1 + PI()^2/3) + EC91^2*EC92*EC94*(1 + PI()^2/2) + EC105^2*EC99^2*(37806414649/3465672376320000 + (158305981*PI()^2)/82598524968960 + (7*PI()^4)/241172480) + EC105^2*EC97^2*(261416567/9409720320000 + (1936046627*PI()^2)/300358272614400 + PI()^4/7864320) + EC105^2*EC95*EC99*(3615811363/42343741440000 + (597658993*PI()^2)/37544784076800 + PI()^4/3932160) + EC105^2*EC95^2*(975683/5870592000 + (19823831*PI()^2)/598800384000 + (7*PI()^4)/12451840) + EC105*EC97*EC99^2*(527837263/1743565824000 + (127339657*PI()^2)/1976041267200 + (7*PI()^4)/6225920) + EC105*EC97^3*(1983101/8072064000 + (1523813*PI()^2)/21525504000 + (7*PI()^4)/4177920) + EC105*EC92*EC99^2*(146222183/145297152000 + (6211897*PI()^2)/24216192000 + (7*PI()^4)/1392640) + EC105*EC95*EC97*EC99*(4694779/2018016000 + (5775139*PI()^2)/10762752000 + (7*PI()^4)/696320) + EC105*EC92*EC97^2*(563659/239500800 + (21928391*PI()^2)/26417664000 + (7*PI()^4)/307200) + EC105*EC95^2*EC97*(706493/159667200 + (27063493*PI()^2)/24216192000 + (7*PI()^4)/307200) + EC105*EC92*EC95*EC99*(18911/2494800 + (103338527*PI()^2)/48432384000 + (7*PI()^4)/153600) + EC105*EC91*EC97*EC99*(706493/79833600 + (27063493*PI()^2)/12108096000 + (7*PI()^4)/153600) + EC105*EC92^2*EC97*(6427/907200 + (1269*PI()^2)/394240 + (7*PI()^4)/66560) + EC105*EC92*EC95^2*(1363/96768 + (5611*PI()^2)/1267200 + (7*PI()^4)/66560) + EC105*EC92^3*(131/20160 + (11*PI()^2)/2688 + (7*PI()^4)/42240) + EC105*EC91*EC92*EC99*(1363/48384 + (5611*PI()^2)/633600 + (7*PI()^4)/33280) + EC105*EC91*EC95*EC97*(239/7200 + (123899*PI()^2)/13305600 + (7*PI()^4)/33280) + EC105*EC91^2*EC97*(73/1260 + (71*PI()^2)/3600 + (7*PI()^4)/14080) + EC105*EC91*EC92*EC95*(29/280 + (7363*PI()^2)/201600 + (7*PI()^4)/7040) + EC105*EC91^2*EC92*(43/240 + (163*PI()^2)/2160 + (7*PI()^4)/2880) + EC91^3*EC99*(4/5 + (2*PI()^2)/3 + (7*PI()^4)/300) + EC91^3*EC95*((8*PI()^2)/3 + (7*PI()^4)/45) + EC91^2*EC92^2*((3*PI()^2)/2 + (7*PI()^4)/30))","v":""},"","","","","","","","","","","","","",""]
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+ (3*EC92*EC93^2*EC94)/40 + (EC91*EC93*EC94^2)/15 + (23*EC91*EC93^2*EC96)/120 + (EC91*EC94^2*EC96)/70 + (11*EC91*EC93*EC96^2)/280 + (563*EC91*EC96^3)/201600 + (43*EC91*EC93*EC94*EC98)/1260 + (3*EC91*EC94*EC96*EC98)/400 + (19*EC91*EC93*EC98^2)/4200 + (559*EC91*EC96*EC98^2)/554400 + EC91*EC98^2*EC99*(2909/1663200 + (37*PI()^2)/936000) + EC92^2*EC98^2*(31/16800 + (17*PI()^2)/184800) + EC91*EC95*EC98^2*(31/4200 + (17*PI()^2)/92400) + EC91*EC94*EC98*EC99*(563/45360 + (251*PI()^2)/831600) + EC91*EC96^2*EC99*(141/11200 + PI()^2/2816) + EC91*EC96*EC97*EC98*(5/336 + (3*PI()^2)/6160) + EC91^2*EC98^2*(11/756 + PI()^2/1800) + EC91*EC94^2*EC99*(67/3024 + PI()^2/1680) + EC92^2*EC94*EC98*(97/7560 + PI()^2/1400) + EC92^2*EC96^2*(1301/120960 + PI()^2/1152) + EC91*EC94*EC95*EC98*(199/3780 + PI()^2/700) + EC92^2*EC94^2*(1/45 + (11*PI()^2)/7560) + EC91*EC95*EC96^2*(409/7560 + PI()^2/576) + EC91*EC96*EC99^2*(21757/1209600 + (1627*PI()^2)/887040) + EC91*EC94*EC96*EC97*(155/3024 + PI()^2/504) + EC91*EC92*EC96*EC98*(853/15120 + PI()^2/450) + EC91*EC93*EC97*EC98*(241/3780 + PI()^2/450) + EC91*EC97*EC98*EC99*(40217/1814400 + (2377*PI()^2)/950400) + EC91*EC94^2*EC95*(17/180 + (11*PI()^2)/3780) + EC91*EC93*EC96*EC99*(409/3780 + PI()^2/288) + EC91^2*EC96^2*(7/60 + PI()^2/224) + EC92^2*EC97*EC98*(221/12096 + (451*PI()^2)/100800) + EC91^2*EC94*EC98*(1/10 + PI()^2/210) + EC92^3*EC98*(1/60 + (11*PI()^2)/1680) + EC92^2*EC96*EC99*(163/6048 + (1339*PI()^2)/201600) + EC91*EC96*EC97^2*(11/280 + (463*PI()^2)/67200) + EC91*EC93*EC99^2*(359/5040 + (563*PI()^2)/67200) + EC92^2*EC93*EC96*(19/240 + PI()^2/112) + EC92*EC93^2*EC97*(23/240 + PI()^2/112) + EC91*EC93^2*EC99*(7/30 + PI()^2/112) + EC91*EC94*EC97*EC99*(361/5040 + (949*PI()^2)/100800) + EC91*EC92*EC94*EC96*(23/120 + PI()^2/105) + EC91*EC93*EC94*EC97*(13/60 + PI()^2/105) + EC91*EC92*EC93*EC98*(1/4 + PI()^2/105) + EC91*EC92*EC98*EC99*(1147/15120 + (547*PI()^2)/50400) + EC91^2*EC94^2*(1/6 + PI()^2/90) + EC91*EC95*EC97*EC98*(73/840 + (563*PI()^2)/50400) + EC92^2*EC94*EC97*(79/1440 + (101*PI()^2)/6048) + EC91*EC95*EC96*EC99*(359/2520 + (563*PI()^2)/33600) + EC91*EC93*EC95*EC96*(7/15 + PI()^2/56) + EC92^3*EC94*(1/24 + PI()^2/40) + EC92^2*EC93^2*(1/8 + PI()^2/40) + EC91^2*EC97*EC98*(37/240 + (3*PI()^2)/112) + EC92^2*EC95*EC96*(43/480 + (17*PI()^2)/560) + EC92^2*EC93*EC99*(43/480 + (17*PI()^2)/560) + EC91*EC93*EC97^2*(3/20 + (13*PI()^2)/420) + EC91*EC95^2*EC96*(11/40 + (11*PI()^2)/280) + EC91^2*EC96*EC99*(11/40 + (11*PI()^2)/280) + EC91*EC92*EC94*EC99*(7/30 + (211*PI()^2)/5040) + EC91*EC94*EC95*EC97*(49/180 + (649*PI()^2)/15120) + EC91*EC92*EC93*EC94*(5/6 + (2*PI()^2)/45) + EC91*EC92*EC95*EC98*(7/24 + (41*PI()^2)/840) + EC91*EC93^2*EC95*(1 + PI()^2/20) + EC91^2*EC93*EC96*(1 + PI()^2/20) + EC91*EC92*EC96*EC97*(7/30 + (103*PI()^2)/1680) + EC91*EC93*EC95*EC99*(11/20 + (11*PI()^2)/140) + EC91^2*EC94*EC97*(5/12 + (13*PI()^2)/120) + EC91^2*EC92*EC98*(1/2 + (7*PI()^2)/60) + EC92^2*EC93*EC95*(1/4 + (17*PI()^2)/120) + EC91*EC92^2*EC96*(1/4 + (17*PI()^2)/120) + EC91^2*EC93^2*(2 + PI()^2/6) + EC91*EC93*EC95^2*(1 + (23*PI()^2)/120) + EC91^2*EC95*EC96*(1 + (23*PI()^2)/120) + EC91^2*EC93*EC99*(1 + (23*PI()^2)/120) + EC91*EC92*EC94*EC95*(5/6 + (7*PI()^2)/36) + EC91*EC92*EC93*EC97*(5/6 + (5*PI()^2)/18) + EC91*EC92^2*EC93*(1/2 + (2*PI()^2)/3) + EC91^2*EC93*EC95*(3 + PI()^2) + EC91*EC99^3*(3737/453600 + (13063*PI()^2)/6652800 + (7*PI()^4)/199680) + EC92^2*EC99^2*(997/60480 + (6949*PI()^2)/806400 + (7*PI()^4)/28160) + EC91*EC97^2*EC99*(29/560 + (1913*PI()^2)/100800 + (7*PI()^4)/14080) + EC91*EC95*EC99^2*(457/5040 + (141*PI()^2)/5600 + (7*PI()^4)/14080) + EC92^2*EC97^2*(47/1440 + (67*PI()^2)/2688 + (7*PI()^4)/5760) + EC91^2*EC99^2*(19/120 + (409*PI()^2)/7560 + (7*PI()^4)/5760) + EC92^2*EC95*EC99*(1/10 + (4303*PI()^2)/60480 + (7*PI()^4)/2880) + EC91*EC95*EC97^2*(8/45 + (11*PI()^2)/140 + (7*PI()^4)/2880) + EC91*EC95^2*EC99*(19/60 + (409*PI()^2)/3780 + (7*PI()^4)/2880) + EC92^3*EC97*(1/24 + (7*PI()^2)/120 + PI()^4/240) + EC91*EC95^3*(1/3 + (7*PI()^2)/45 + PI()^4/240) + EC91*EC92*EC97*EC99*(11/40 + (1129*PI()^2)/7560 + (7*PI()^4)/1440) + EC92^4*(1/80 + PI()^2/24 + (7*PI()^4)/1200) + EC92^2*EC95^2*(1/8 + (23*PI()^2)/160 + PI()^4/160) + EC91^2*EC97^2*(1/4 + (59*PI()^2)/360 + PI()^4/160) + EC91*EC92^2*EC99*(1/4 + (23*PI()^2)/80 + PI()^4/80) + EC91^2*EC95*EC99*(1 + (7*PI()^2)/15 + PI()^4/80) + EC91*EC92*EC95*EC97*(5/6 + (217*PI()^2)/360 + PI()^4/40) + EC91^2*EC95^2*(6/5 + PI()^2 + (7*PI()^4)/200) + EC91*EC92^2*EC95*(2/5 + (13*PI()^2)/12 + (7*PI()^4)/100) + EC91^2*EC92*EC97*(9/10 + (7*PI()^2)/6 + (7*PI()^4)/100))","v":""},"","","","","","","","","","","","","",""]
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+ (11*EC93^2*EC94^2)/2520 + (EC92*EC94^3)/420 + EC94^4/15120 + (23*EC93^3*EC95)/360 + (EC93*EC94^2*EC95)/70 + (EC93^3*EC96)/112 + (163*EC92*EC93*EC94*EC96)/5040 + (EC93*EC94^2*EC96)/560 + (11*EC93^2*EC95*EC96)/280 + (239*EC94^2*EC95*EC96)/75600 + (EC93^2*EC96^2)/384 + (81*EC92*EC94*EC96^2)/22400 + (17*EC94^2*EC96^2)/88704 + (563*EC93*EC95*EC96^2)/67200 + (EC93*EC96^3)/2816 + (179*EC93^2*EC94*EC97)/10080 + (43*EC94^3*EC97)/75600 + (263*EC93*EC94*EC96*EC97)/33600 + (11*EC92*EC93^2*EC98)/560 + (3*EC93^2*EC94*EC98)/1400 + (EC92*EC94^2*EC98)/540 + (EC94^3*EC98)/15400 + (3*EC93*EC94*EC95*EC98)/400 + (29*EC92*EC93*EC96*EC98)/3360 + (251*EC93*EC94*EC96*EC98)/277200 + (1873*EC94*EC95*EC96*EC98)/1108800 + (4337*EC92*EC96^2*EC98)/4435200 + (23*EC93^2*EC97*EC98)/4800 + (251*EC94^2*EC97*EC98)/554400 + (3*EC93*EC96*EC97*EC98)/1408 + (17*EC93^2*EC98^2)/61600 + (137*EC92*EC94*EC98^2)/277200 + (2689*EC94^2*EC98^2)/108108000 + (559*EC93*EC95*EC98^2)/554400 + (37*EC93*EC96*EC98^2)/312000 + (283*EC92*EC98^3)/6306300 + (11*EC93^3*EC99)/840 + (239*EC93*EC94^2*EC99)/75600 + (563*EC93^2*EC96*EC99)/67200 + (197*EC94^2*EC96*EC99)/277200 + (1627*EC93*EC96^2*EC99)/887040 + (1873*EC93*EC94*EC98*EC99)/1108800 + (5149*EC93*EC98^2*EC99)/22422400 + EC94^2*EC99^2*(146429/239500800 + (83*PI()^2)/5930496) + EC92*EC97*EC98^2*(3349/3326400 + (37*PI()^2)/936000) + EC94^2*EC97^2*(2971/1814400 + (17*PI()^2)/266112) + EC94*EC95*EC98*EC99*(9733/3326400 + (191*PI()^2)/2882880) + EC93*EC96*EC99^2*(13063/4435200 + PI()^2/13312) + EC92*EC96*EC98*EC99*(6073/1900800 + PI()^2/9360) + EC93*EC97*EC98*EC99*(11779/3326400 + PI()^2/9360) + EC94^2*EC95*EC99*(673/129600 + (17*PI()^2)/133056) + EC93*EC99^3*(1421/950400 + (88069*PI()^2)/645765120) + EC94*EC95^2*EC98*(563/90720 + (251*PI()^2)/1663200) + EC93^2*EC99^2*(141/22400 + PI()^2/5632) + EC92*EC98*EC99^2*(65479/26611200 + (2241643*PI()^2)/8072064000) + EC94^2*EC95^2*(67/6048 + PI()^2/3360) + EC92*EC94*EC97*EC98*(3179/453600 + (251*PI()^2)/831600) + EC92*EC96^2*EC97*(839/134400 + PI()^2/2816) + EC93*EC96*EC97^2*(17/2400 + PI()^2/2816) + EC92*EC94*EC96*EC99*(20063/1814400 + PI()^2/2376) + EC94*EC95*EC96*EC97*(1591/129600 + PI()^2/2376) + EC93*EC94*EC97*EC99*(1591/129600 + PI()^2/2376) + EC92*EC95*EC96*EC98*(449/33600 + (3*PI()^2)/6160) + EC92*EC93*EC98*EC99*(449/33600 + (3*PI()^2)/6160) + EC93*EC95*EC97*EC98*(5/336 + (3*PI()^2)/6160) + EC92*EC94^2*EC97*(37/3024 + PI()^2/1680) + EC93*EC95*EC96*EC99*(141/5600 + PI()^2/1408) + EC93^2*EC97^2*(11/756 + PI()^2/1152) + EC92*EC94*EC99^2*(29069/3628800 + (27431*PI()^2)/26611200) + EC92*EC97^2*EC98*(21127/3628800 + (13787*PI()^2)/13305600) + EC93*EC97^2*EC99*(37381/3628800 + (4111*PI()^2)/2661120) + EC93*EC95^2*EC96*(409/7560 + PI()^2/576) + EC93^2*EC95*EC99*(409/7560 + PI()^2/576) + EC93*EC95*EC99^2*(21757/1209600 + (1627*PI()^2)/887040) + EC92*EC94*EC95*EC96*(1391/30240 + PI()^2/504) + EC92*EC93*EC94*EC99*(1391/30240 + PI()^2/504) + EC93*EC94*EC95*EC97*(155/3024 + PI()^2/504) + EC94*EC95*EC97*EC99*(33251/1814400 + (28031*PI()^2)/13305600) + EC92*EC93*EC95*EC98*(853/15120 + PI()^2/450) + EC92*EC95*EC98*EC99*(11749/604800 + (5417*PI()^2)/2217600) + EC92*EC96*EC97*EC99*(32009/1814400 + (8047*PI()^2)/2661120) + EC92*EC93*EC96*EC97*(187/3780 + PI()^2/288) + EC92*EC94*EC97^2*(559/30240 + (769*PI()^2)/201600) + EC93^2*EC95^2*(7/60 + PI()^2/224) + EC94*EC95^2*EC97*(361/10080 + (949*PI()^2)/201600) + EC92*EC95^2*EC98*(1147/30240 + (547*PI()^2)/100800) + EC93*EC95*EC97^2*(11/280 + (463*PI()^2)/67200) + EC93*EC95^2*EC99*(359/5040 + (563*PI()^2)/67200) + EC92*EC94*EC95*EC99*(937/15120 + (929*PI()^2)/100800) + EC92*EC93*EC94*EC95*(23/120 + PI()^2/105) + EC93*EC95^3*(11/120 + (11*PI()^2)/840) + EC92*EC95*EC96*EC97*(1979/30240 + (341*PI()^2)/25200) + EC92*EC93*EC97*EC99*(1979/30240 + (341*PI()^2)/25200) + EC92*EC94*EC95^2*(7/60 + (211*PI()^2)/10080) + EC92*EC93*EC95*EC97*(7/30 + (103*PI()^2)/1680) + EC92*EC97*EC99^2*(17477/1451520 + (115697*PI()^2)/26611200 + (7*PI()^4)/66560) + EC92*EC97^3*(29/3360 + (199*PI()^2)/44800 + (7*PI()^4)/42240) + EC92*EC95*EC97*EC99*(211/2520 + (2431*PI()^2)/67200 + (7*PI()^4)/7040) + EC92*EC95^2*EC97*(11/80 + (1129*PI()^2)/15120 + (7*PI()^4)/2880))","v":""},"","","","","","","","","","","","","",""]
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[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,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,{"$error":"#N/A"},{"$error":"#N/A"}]
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{"sheet":"documentation","index":1,"n_rows":27,"n_cols":5,"rows_kept":27,"cut":false,"hidden":false,"merged":[[2,1,4,1],[5,3,5,4],[6,3,6,4],[7,2,7,4],[8,1,9,1],[8,3,8,4],[9,3,9,4],[21,2,21,4],[24,2,24,4],[25,2,25,4],[26,2,26,4],[13,1,14,1],[13,2,14,4],[15,2,15,4],[16,2,16,4],[17,2,17,4],[18,3,18,4]]}
[]
[null,"documentation and definitions"]
[null,"full documentation","The definitions, notation and formulas in this workbook implement that which is published in "]
[null,null,"\"The Metalog Distributions.\" Download from",null,"http://www.metalogs.org/publications.html"]
[null,null,"Below are key definitions and documentation of the calcuations in this workbook."]
[null,"lower bound","bl","lower bound -- input x parameters must all be > bl"]
[null,"upper bound","bu","upper bound -- input x parameters must all be < bu"]
[null,"input parameters","(x,y) coordinates of cdf (cumulative distribution function) input data used to parameterize the metalog distribution.  "]
[null,"metalog specifications","m","Number of cdf  data points in use for input parameters. Calculated as the number of numeric y input-parameter cells."]
[null,null,"n","Number of metalog terms in use.  Must be an integer from 2-10.  Controls which distribution from the \"metalog panel\" is displayed. If no curves are displayed, one of the requirements is not satisfied. The upper limit of 10 can be extended by extending the various calculations in this workbook beyond 10 according to the equations in \"The Metalog Distributions\". In such extended implementations, Excel may make computational errors for n>15 or so."]
[null,"probability density function (pdf)","mn, mnlog, mnlogit","y'-value on the pdf plot for unbounded, semibounded, and bounded metalog distributions respectively"]
[null,"quantile function (inverse cdf)","Mn, Mnlog, Mnlogit","x-value on the cdf and pdf plots for unbounded, semibounded, and bounded metalog distributions respectively"]
[null,"metalog panel","Thumbnail pdf's (mn) for all n.  Blank display occurs when either matrix inversion or data feasibility fails."]
[null,"matrix inversion successful","If \"no\", Excel's attempt to invert the matrix YTY, which is used to calculate (a1, … an), was unsuccessful.  Check input yi's to ensure that at least n are distinct and that 0<yi<1 for all i.  Otherwise if still \"no\" (an extremely rare case), a minor perturbation of the yi input parameters may  solve the problem. No matrix inversion is attempted if m<n, in which case a blank cell is displayed."]
[]
[null,"data feasible","Feasibility requires that the density function mn is strictly positive. If \"no\", input parameters are not feasible for the given choice of n.  If \"no\", use a different n, or use a metalog distribution with different bounds. A blank cell is displayed if m<n."]
[null,"quantiles","For  user-input y-values on the cdf, displays corresponding metalog quantiles (x-values on the cdf)."]
[null,"example simulation","For random y-samples from a uniform distribution (Excel function RAND()), displays the associated x-samples.  Formulas may be copied for use in larger simulations."]
[null,"Y-matrix","Y16","Y-matrix for the 16-term metalog. The first n columns of this matrix are used to calculate scaling constants (a1, … an) according to a = [YTY]-1YTz."]
[null,"coefficients"," a1, … an","Used for the calculating Mn and mn."]
[null,"quantile parameters","Points on the CDF that, when used as metalog input data, produce this same set of coefficients. The metalog runs through each of these points exactly."]
[null,"regularization","Regularization (optional) can help with feasibility and smoothness--espicially for larger numbers of terms. Blank or 0 turns this off. Integers 1-10 increase regularization. This works by adding a small positive number to the diagonal elements (except for the first diagonal element) of YTY before inversion. This adjustment effectively reduces the magnitude of the largest ai coefficients, effectively countering any potential Runge's phenomenon."]
[]
[null,"additional information"]
[null,"accuracy","To the best of the author's knowledge, the formulas implemented on the metalog worksheet are robust and fully accurate.  There are only two exceptions: 1) the \"data feasible\" calculation checks that 105 points on the pdf (mn) are strictly positive.  In the unlikely event that mn for these 105 points is strictly positive but zero or negative for some other y in the open interval (0,1), this calculation will incorrectly indicate \"yes\" when it should say \"no.\" 2) Because Excel calculates matrix determinants only to 16 significant figures, it can erroneously invert singular YTY matrices in calculating scaling constants a."]
[null,"portability","This worksheet is programmed without any macros, named ranges, protected ranges, or external links.  As such it may be copied into any other Excel workbook without harming that workbook and while still retaining its full functionality. To port to another workbook, open that workbook, right click on the \"unbounded metalog\" worksheet tab at bottom left of this workbook,  select \"Move or copy\", \"Create a copy\", the \"To\" (destination) workbook, and click OK."]
[null,"liability","The author has checked the accuracy of this worksheet to the best of his ability and provides it free of charge; but assumes no liability for possible errors or consequences thereof."]