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{"sheet":"metalog","index":0,"n_rows":10042,"n_cols":145,"rows_kept":562,"cut":true,"hidden":false,"merged":[[2,2,4,25],[49,4,52,9],[53,4,74,9],[77,4,108,9],[8,1,8,3],[8,13,9,21],[10,1,12,2],[13,1,13,2]],"bounds":{"rows_first":250,"rows_last":62,"rows_between":250,"halvings":3}}
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[null,"Metalog distributions. Prepared by Thomas Keelin, August, 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"]
[null,null,"To generate metalog distributions, sort your (x,y) data from lowest to highest, and paste it into the yellow-highlighed cells in B31:C10030 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 full functionality by right-clicking \"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,"metalog panel",null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$20,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$20-1))","v":0.1},{"$f":"IF(Z11=\"\",\"\",IF($B$14=\"u\",Z11,IF($B$14=\"sl\",$C$22+EXP(Z11),IF($B$14=\"su\",$C$23-EXP(-Z11),IF($B$14=\"b\",($C$22+$C$23*EXP(Z11))/(1+EXP(Z11)),\"\")))))","v":24.999999999999769},{"$f":"IF(OR($N$9<>\"(none)\",ROW()-ROW(Z$10)>$C$20),\"\",$Y$28+$Y$29*LN(X11/(1-X11))+$Y$30*(X11-0.5)*LN(X11/(1-X11))+$Y$31*(X11-0.5)+$Y$32*(X11-0.5)^2+$Y$33*(X11-0.5)^2*LN(X11/(1-X11))+$Y$34*(X11-0.5)^3+$Y$35*(X11-0.5)^3*LN(X11/(1-X11))+$Y$36*(X11-0.5)^4+$Y$37*(X11-0.5)^4*LN(X11/(1-X11))+$Y$38*(X11-0.5)^5+Y$39*(X11-0.5)^5*LN(X11/(1-X11))+$Y$40*(X11-0.5)^6+$Y$41*(X11-0.5)^6*LN(X11/(1-X11))+$Y$42*(X11-0.5)^7+$Y$43*(X11-0.5)^7*LN(X11/(1-X11)))","v":24.999999999999769},null,null,null,null,null,null,null,0.99,0.98,0.9,0.75,0.65,0.65,0.5,0.5,0.5]
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[null,"metalog specifications",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$20,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$20-1))","v":""},"","",null,null,null,null,null,null,null,null,null,null,null,null,0.999,0.95,0.97,0.97]
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[null,"parameters","for display",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$20,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$20-1))","v":""},"","",null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.999,0.995]
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[null,null,"terms",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$20,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$20-1))","v":""},"","",null,"         intermediate calcualations (do not modify)"]
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[null,{"$f":"IF(OR(B14=\"su\",B14=\"b\"),\"upper bound\",\"\")","v":""},100,"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$20,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$20-1))","v":""},"",""]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$20,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$20-1))","v":""},"","",null,"metalog distributions (y = probability, Mn = x = quantile function, mn = y' = probability density function)"]
[null,"regularization",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$20,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$20-1))","v":""},"","",null,null,null,null,"metalog quantile functions Mn and density functions mn with user-specified bounds",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"unbounded metalog",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"feasibility requirement (mn>0 for all yi) satisfied",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"matrix inversion successful",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"validity of input data",null,null,"messages"]
[null," (0,1, …, 10)",0,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ROW()-ROW(X$10)>$C$20,\"\",INDEX($AB$4:$AP$19,ROW()-ROW(X$10),$C$20-1))","v":""},"","",null,null,{"$f":"\"large plots (n = \" & C20 & \")\"","v":"large plots (n = 5)"},null,{"$f":"IF($B$14=\"u\",\"\",IF($B$14=\"sl\",\"        log\",IF($B$14=\"b\",\"          logit\",\"\")))","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","",null,"quantile functons",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"density functions",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(OR(DF26=\"\",DF26=\"no\"),\"\",IF(AND(DF26=\"yes\",MIN(CO31:CO135)>0),\"yes\",\"no\"))","v":"yes"},"yes","yes","yes","","","","","","","","","","","",null,null,{"$f":"IF(EA90=\"\",\"\",IF(OR(EA90=\"determ\",EA90=\"error\"),\"no\",\"yes\"))","v":"yes"},"yes","yes","yes","","","","","","","",{"$f":"IF(EL90=\"\",\"\",IF(OR(EL90=\"determ\",EL90=\"error\"),\"no\",\"yes\"))","v":""},{"$f":"IF(EM90=\"\",\"\",IF(OR(EM90=\"determ\",EM90=\"error\"),\"no\",\"yes\"))","v":""},{"$f":"IF(EN90=\"\",\"\",IF(OR(EN90=\"determ\",EN90=\"error\"),\"no\",\"yes\"))","v":""},{"$f":"IF(EO90=\"\",\"\",IF(OR(EO90=\"determ\",EO90=\"error\"),\"no\",\"yes\"))","v":""},null,null,"(values below should be equal)",null,null,"condition","global","content"]
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(88069*EA100^2*EA93*EA95)/215255040 + (EA100^3*EA96)/1245184 + (72782903*EA100*EA101*EA102*EA96)/10782091837440 + (7759469*EA100^2*EA103*EA96)/1589197209600 + (EA100^2*EA104*EA96)/1835008 + (88069*EA100^2*EA91*EA96)/215255040 + (EA100^2*EA93*EA96)/20480 + (1423*EA100^2*EA95*EA96)/15375360 + (3*EA100^2*EA96^2)/557056 + (768129*EA100^2*EA102*EA97)/234903961600 + (24319*EA100^2*EA94*EA97)/516612096 + (1368973*EA100^2*EA101*EA98)/433417420800 + (71*EA100^2*EA102*EA98)/214466560 + (66784909*EA100*EA101*EA104*EA98)/44951578214400 + (27898883*EA100^2*EA105*EA98)/37018946764800 + (47849*EA100^2*EA92*EA98)/922521600 + (373*EA100^2*EA94*EA98)/74680320 + (1326653*EA100^2*EA97*EA98)/101335449600 + (29*EA100^2*EA98^2)/42803200 + (7759469*EA100^3*EA99)/4767591628800 + (31730711*EA100^2*EA104*EA99)/27969870888960 + (1423*EA100^2*EA93*EA99)/15375360 + (1593269*EA100^2*EA96*EA99)/75277762560 + EA100^2*EA105^2*(2569694549/12771536633856000 + PI()^2/209715200) + EA100*EA101*EA104*EA105*(19556822521/24813271174348800 + PI()^2/52428800) + EA100^2*EA103^2*(973676323/881050933002240 + PI()^2/48234496) + EA100*EA101^2*EA104*(2969615213/1865754916945920 + PI()^2/24117248) + EA100^2*EA101*EA105*(1472540521/906223816802304 + PI()^2/24117248) + EA100*EA101*EA102*EA103*(1745359172143/555062087791411000 + (3*PI()^2)/44843008) + EA100^2*EA101^2*(2208869431/672802530656256 + PI()^2/11010048) + EA100^2*EA105*EA97*(27073198069/4205015816601600 + PI()^2/5505024) + EA100^2*EA103*EA99*(778001383/84100316332032 + PI()^2/5505024) + EA100*EA101*EA103*EA98*(25619947729/2102507908300800 + PI()^2/3655680) + EA100*EA101*EA102*EA99*(274382384057/21025079083008000 + PI()^2/3440640) + EA100*EA101*EA104*EA97*(6632178031/525626977075200 + PI()^2/2752512) + EA100*EA101*EA105*EA96*(14098445897/1051253954150400 + PI()^2/2752512) + EA100^2*EA99^2*(4651811/239520153600 + PI()^2/2490368) + EA100*EA101*EA103*EA105*(8556993119/1415974713753600 + (56279389*PI()^2)/116964914626560) 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EA100*EA101^2*EA99*(1391372449/29274685440000 + (7799849*PI()^2)/1787846860800) + EA100*EA101*EA102*EA91*(1051961/4649508864 + (15*PI()^2)/2680832) + EA100^2*EA95^2*(4193641/12108096000 + PI()^2/122880) + EA100*EA101*EA103*EA97*(220805971/2439557120000 + (123675463*PI()^2)/14302774886400) + EA100*EA101*EA105*EA95*(57937587403/592812380160000 + (125199073*PI()^2)/14302774886400) + EA100^2*EA92*EA97*(1362103/3587584000 + PI()^2/61440) + EA100^2*EA91*EA99*(4193641/6054048000 + PI()^2/61440) + EA100*EA101^2*EA95*(4419929/23247544320 + (1412627*PI()^2)/75277762560) + EA100*EA101*EA91*EA98*(21299891/24216192000 + PI()^2/42240) + EA100*EA101*EA92*EA96*(12783269/16144128000 + PI()^2/30720) + EA100*EA101*EA103*EA92*(3380371/10567065600 + (1367813*PI()^2)/37638881280) + EA100^2*EA92^2*(3491/5068800 + PI()^2/26624) + EA100*EA101*EA105*EA91*(88973/227026800 + (176929*PI()^2)/4704860160) + EA100^2*EA91*EA95*(13063/4435200 + PI()^2/13312) + EA100*EA101^2*EA91*(52852273/69742632960 + (14983*PI()^2)/184504320) + EA100*EA101*EA91*EA94*(48661/15966720 + (5*PI()^2)/54912) + EA100*EA101*EA92*EA93*(5729/1774080 + PI()^2/6656) + EA100^2*EA91^2*(141/22400 + PI()^2/5632) + EA100*EA101*EA92*EA95*(294881/59875200 + (1998407*PI()^2)/2905943040) + EA100*EA101*EA91*EA97*(1354319/239500800 + (255589*PI()^2)/363242880) + EA100*EA101*EA91*EA92*(22973/1209600 + (1343*PI()^2)/443520))","v":0},0,0,0,"","","","","","","","","","",""]
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(48312791*EA100*EA102*EA105*EA96)/29967718809600 + (237851*EA100*EA102*EA92*EA96)/2152550400 + (1423*EA100*EA103*EA93*EA96)/7687680 + (86503*EA100*EA101*EA94*EA96)/894136320 + (1277*EA100*EA102*EA94*EA96)/120637440 + (1593269*EA100*EA103*EA96^2)/75277762560 + (528301*EA100*EA102*EA104*EA97)/343489642496 + (947*EA100*EA102*EA93*EA97)/7884800 + (669259*EA100*EA102*EA96*EA97)/23952015360 + (92573347*EA100*EA102*EA103*EA98)/64783156838400 + (33903*EA100*EA102*EA104*EA98)/221524459520 + (16517*EA100*EA102*EA91*EA98)/146764800 + (10693*EA100*EA101*EA93*EA98)/92252160 + (7713*EA100*EA102*EA93*EA98)/609889280 + (6750839*EA100*EA103*EA94*EA98)/329340211200 + (661363*EA100*EA102*EA95*EA98)/25333862400 + (1184863*EA100*EA101*EA96*EA98)/43912028160 + (1531*EA100*EA102*EA96*EA98)/531148800 + (8508541*EA100*EA103*EA98^2)/2979744768000 + (108932459*EA100*EA102^2*EA99)/142762882662400 + (7190731*EA100*EA102*EA94*EA99)/329340211200 + (197678387*EA100*EA102*EA98*EA99)/32446109696000 + EA100*EA103^2*EA104*(536568051133/1013208572952570000 + PI()^2/104857600) + EA100*EA102*EA103*EA105*(18379442801/23747075928576000 + (27*PI()^2)/1743257600) + EA100*EA103*EA105^2*(222451385227/289488163700736000 + (3468884941*PI()^2)/60821755605811200) + EA100*EA103*EA105*EA98*(4709825521/1573305237504000 + (9*PI()^2)/143196160) + EA100*EA102*EA105*EA99*(5044368059/1573305237504000 + (3*PI()^2)/44843008) + EA100*EA103*EA104*EA99*(973676323/220262733250560 + PI()^2/12058624) + EA100*EA103^3*(3776249956033/2775310438957050000 + (46522243*PI()^2)/526342115819520) + EA100*EA103^2*EA96*(778001383/84100316332032 + PI()^2/5505024) + EA100*EA103*EA105*EA94*(10880345711/1051253954150400 + PI()^2/4358144) + EA100*EA102*EA103*EA97*(132081266393/10512539541504000 + PI()^2/3440640) + EA100*EA102*EA105*EA95*(34966348777/2628134885376000 + PI()^2/3440640) + EA100*EA103*EA104*EA95*(778001383/42050158166016 + PI()^2/2752512) + EA100*EA103^2*EA93*(4651811/119760076800 + PI()^2/1245184) + EA100*EA103^2*EA99*(58192725971/3504179847168000 + (31730711*PI()^2)/27969870888960) + EA100*EA103*EA97*EA98*(8193869/168030720000 + (7*PI()^2)/5836800) + EA100*EA101*EA98*EA99*(1667900203/32934021120000 + (7*PI()^2)/5836800) + EA100*EA102*EA103*EA92*(13895467/292746854400 + (9*PI()^2)/7081984) + EA100*EA102*EA97*EA99*(6254893/119760076800 + (9*PI()^2)/7081984) + EA100*EA102*EA105*EA91*(36443807/658680422400 + (9*PI()^2)/7081984) + EA100*EA103*EA104*EA91*(4651811/59880038400 + PI()^2/622592) + EA100*EA103*EA96*EA99*(4651811/59880038400 + PI()^2/622592) + EA100*EA103*EA105*EA97*(6222991597/268177029120000 + (425527139*PI()^2)/209774031667200) + EA100*EA103*EA94*EA97*(420281/2483712000 + (7*PI()^2)/1566720) + EA100*EA101*EA94*EA99*(14582849/83026944000 + (7*PI()^2)/1566720) + EA100*EA103^2*EA95*(329431857/4879114240000 + (7759469*PI()^2)/1589197209600) + EA100*EA103*EA99^2*(329431857/4879114240000 + (7759469*PI()^2)/1589197209600) + EA100*EA103*EA92*EA98*(5945039/32288256000 + (3*PI()^2)/565760) + EA100*EA101*EA95*EA98*(12253897/58118860800 + (3*PI()^2)/565760) + EA100*EA102*EA92*EA99*(2548547/12915302400 + (15*PI()^2)/2680832) + EA100*EA102*EA95*EA97*(281041/1291530240 + (15*PI()^2)/2680832) + EA100*EA101*EA96*EA97*(55397/258306048 + PI()^2/139264) + EA100*EA103*EA95*EA96*(264263/807206400 + PI()^2/139264) + EA100*EA103*EA93*EA99*(264263/807206400 + PI()^2/139264) + EA100*EA103*EA105*EA92*(5461441669/65868042240000 + (4487001*PI()^2)/529732403200) + EA100*EA103*EA97^2*(5536651/32288256000 + (277813*PI()^2)/15055552512) + EA100*EA103*EA92*EA94*(30910921/48432384000 + PI()^2/49920) + EA100*EA101*EA94*EA95*(35426707/48432384000 + PI()^2/49920) + EA100*EA103^2*EA91*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EA100*EA102*EA92*EA95*(13277477/16144128000 + PI()^2/40320) + EA100*EA102*EA91*EA97*(3146329/3459456000 + PI()^2/40320) + EA100*EA101*EA93*EA97*(42784057/48432384000 + PI()^2/30720) + EA100*EA103*EA93*EA95*(4193641/3027024000 + PI()^2/30720) + EA100*EA103*EA91*EA96*(4193641/3027024000 + PI()^2/30720) + EA100*EA101*EA97*EA99*(209892223/581188608000 + (700423*PI()^2)/18819440640) + EA100*EA103*EA95*EA99*(39838781/72648576000 + (1593269*PI()^2)/37638881280) + EA100*EA103*EA95^2*(8968709/8072064000 + (1423*PI()^2)/15375360) + EA100*EA102*EA91*EA92*(3393/985600 + (9*PI()^2)/81536) + EA100*EA103*EA91*EA93*(13063/2217600 + PI()^2/6656) + EA100*EA103*EA92*EA97*(5770357/4843238400 + (9613*PI()^2)/61501440) + EA100*EA101*EA92*EA99*(122157793/96864768000 + (227*PI()^2)/1441440) + EA100*EA101*EA95*EA97*(1388749/968647680 + (29749*PI()^2)/184504320) + EA100*EA103*EA91*EA99*(8968709/4036032000 + (1423*PI()^2)/7687680) + EA100*EA103*EA92^2*(35459/17740800 + (71899*PI()^2)/215255040) + EA100*EA103*EA91*EA95*(1421/158400 + (88069*PI()^2)/107627520) + EA100*EA103*EA91^2*(21757/1209600 + (1627*PI()^2)/887040))","v":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,0.87000000000000055,56.718590126346875,1.0483591712956052E-2,61.285748840609301,58.698592318715875,57.318252430717656,56.718590126346875,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},1.3201630333069142E-2,9.9870172281554051E-3,9.9219221575940902E-3,1.0483591712956052E-2,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,61.285748840609301,58.698592318715875,57.318252430717656,56.718590126346875,"","","","","","","","","","","",1.3201630333069142E-2,9.9870172281554051E-3,9.9219221575940902E-3,1.0483591712956052E-2,"","","","","","","","","","","",null,1.4882474513406867E-2,1.1323792786566389E-2,1.1391639656718192E-2,1.2216629528153968E-2,"","","","","","","","","","","",null,"","","","","","","","","","","","","","","","","",null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$f":"IF(OR(ISERROR(AT29),$B$14<>\"u\"),\"\",(EA100*EA104^2*EA93)/1835008 + (88069*EA100*EA104*EA91*EA93)/107627520 + (EA100*EA104*EA93^2)/20480 + (11*EA100*EA91*EA93^2)/280 + (13893721*EA100*EA104*EA105*EA94)/11040738508800 + (112187*EA100*EA104*EA92*EA94)/1291530240 + (9679*EA100*EA105*EA93*EA94)/99348480 + (81*EA100*EA92*EA93*EA94)/11200 + (19*EA100*EA104*EA94^2)/4526080 + (239*EA100*EA91*EA94^2)/75600 + (31730711*EA100*EA104^2*EA95)/27969870888960 + (1423*EA100*EA104*EA93*EA95)/7687680 + (3*EA100*EA104^2*EA96)/24117248 + (1423*EA100*EA104*EA91*EA96)/7687680 + (3*EA100*EA104*EA93*EA96)/139264 + (563*EA100*EA91*EA93*EA96)/33600 + (122443*EA100*EA105*EA94*EA96)/5376983040 + (7277*EA100*EA92*EA94*EA96)/4435200 + (1593269*EA100*EA104*EA95*EA96)/37638881280 + (3*EA100*EA104*EA96^2)/1245184 + (1627*EA100*EA91*EA96^2)/887040 + (824189*EA100*EA104*EA94*EA97)/37638881280 + (82225271*EA100*EA104*EA105*EA98)/230851805184000 + (15905849*EA100*EA104*EA92*EA98)/658680422400 + (1384181*EA100*EA105*EA93*EA98)/50667724800 + (4337*EA100*EA92*EA93*EA98)/2217600 + (977*EA100*EA104*EA94*EA98)/429977600 + (1873*EA100*EA91*EA94*EA98)/1108800 + (2180221*EA100*EA105*EA96*EA98)/340542259200 + (603481*EA100*EA92*EA96*EA98)/1345344000 + (95443*EA100*EA104*EA97*EA98)/15580364800 + (197*EA100*EA104*EA98^2)/633651200 + (5149*EA100*EA91*EA98^2)/22422400 + (46522243*EA100*EA104^2*EA99)/175447371939840 + (1593269*EA100*EA104*EA93*EA99)/37638881280 + (7759469*EA100*EA104*EA96*EA99)/794598604800 + EA100*EA104*EA105^2*(2088816548867/21391651675570100000 + PI()^2/452984832) + EA100*EA105^2*EA96*(19346953/11654112870400 + PI()^2/24117248) + EA100*EA104*EA105*EA97*(196583099/62932209500160 + PI()^2/12058624) + EA100*EA105^2*EA93*(1109328277/161731377561600 + PI()^2/5505024) + EA100*EA104*EA99^2*(778001383/84100316332032 + PI()^2/5505024) + EA100*EA105^2*EA99*(292633889201/94398314250240000 + (42397837*PI()^2)/175447371939840) + EA100*EA105*EA98*EA99*(326317602361/26281348853760000 + PI()^2/3655680) + EA100*EA104*EA105*EA92*(24553131107/2102507908300800 + PI()^2/2752512) + EA100*EA104*EA97^2*(8227789/329340211200 + PI()^2/1245184) + EA100*EA105*EA94*EA99*(259163/6031872000 + PI()^2/992256) + EA100*EA105^2*EA95*(13400463413/1072708116480000 + (431249713*PI()^2)/419548063334400) + EA100*EA105*EA95*EA98*(13480409/261381120000 + (7*PI()^2)/5836800) + EA100*EA105*EA96*EA97*(4995871/94097203200 + PI()^2/622592) + EA100*EA104*EA95*EA99*(4651811/59880038400 + PI()^2/622592) + EA100*EA104*EA95^2*(264263/1614412800 + PI()^2/278528) + EA100*EA105^2*EA91*(45066577/896163840000 + (6977809*PI()^2)/1589197209600) + EA100*EA105*EA94*EA95*(21173/118609920 + (7*PI()^2)/1566720) + EA100*EA105*EA91*EA98*(54987/256256000 + (3*PI()^2)/565760) + EA100*EA104*EA92*EA97*(598687/3228825600 + PI()^2/139264) + EA100*EA105*EA92*EA96*(10819/54912000 + PI()^2/139264) + EA100*EA105*EA93*EA97*(2356499/10762752000 + PI()^2/139264) + EA100*EA104*EA91*EA99*(264263/807206400 + PI()^2/139264) + EA100*EA105*EA97*EA99*(2042843093/21956014080000 + (1723291*PI()^2)/198649651200) + EA100*EA104*EA92^2*(32924581/96864768000 + PI()^2/61440) + EA100*EA105*EA91*EA94*(13367/18018000 + PI()^2/49920) + EA100*EA92*EA98*EA99*(3711157/4843238400 + PI()^2/42240) + EA100*EA105*EA92*EA93*(39071671/48432384000 + PI()^2/30720) + EA100*EA104*EA91*EA95*(4193641/3027024000 + PI()^2/30720) + EA100*EA105*EA92*EA99*(95804531/290594304000 + (685309*PI()^2)/18819440640) + EA100*EA105*EA95*EA97*(500377/1345344000 + (1403651*PI()^2)/37638881280) + EA100*EA104*EA91^2*(13063/4435200 + PI()^2/13312) + EA100*EA92*EA94*EA99*(23563/8870400 + (5*PI()^2)/54912) + EA100*EA92*EA95*EA98*(6073/1900800 + PI()^2/9360) + EA100*EA91*EA97*EA98*(11779/3326400 + PI()^2/9360) + EA100*EA92*EA96*EA97*(13723/4435200 + PI()^2/6656) + EA100*EA91*EA96*EA99*(13063/2217600 + PI()^2/6656) + EA100*EA105*EA92*EA95*(9472241/7264857600 + (17431*PI()^2)/110702592) + EA100*EA105*EA91*EA97*(53819041/36324288000 + (44617*PI()^2)/276756480) + EA100*EA92^2*EA96*(247/44800 + PI()^2/2816) + EA100*EA91*EA99^2*(1421/316800 + (88069*PI()^2)/215255040) + EA100*EA92*EA94*EA95*(20063/1814400 + PI()^2/2376) + EA100*EA91*EA94*EA97*(1591/129600 + PI()^2/2376) + EA100*EA91*EA92*EA98*(449/33600 + (3*PI()^2)/6160) + EA100*EA92*EA97*EA99*(4559/985600 + (12269*PI()^2)/17937920) + EA100*EA105*EA91*EA92*(5683/1108800 + (6141*PI()^2)/8968960) + EA100*EA92*EA93*EA97*(839/67200 + PI()^2/1408) + EA100*EA91*EA95*EA96*(141/5600 + PI()^2/1408) + EA100*EA91*EA93*EA99*(141/5600 + PI()^2/1408) + EA100*EA92^2*EA99*(725/96768 + (41*PI()^2)/27720) + EA100*EA91*EA97^2*(37381/3628800 + (4111*PI()^2)/2661120) + EA100*EA92^2*EA93*(1301/60480 + PI()^2/576) + EA100*EA91^2*EA96*(409/7560 + PI()^2/576) + EA100*EA91*EA92*EA94*(1391/30240 + PI()^2/504) + EA100*EA92*EA95*EA97*(32009/1814400 + (8047*PI()^2)/2661120) + EA100*EA91*EA93*EA95*(409/3780 + PI()^2/288) + EA100*EA91*EA95*EA99*(21757/604800 + (1627*PI()^2)/443520) + EA100*EA92^2*EA95*(163/6048 + (1339*PI()^2)/201600) + EA100*EA91*EA95^2*(359/5040 + (563*PI()^2)/67200) + EA100*EA91^2*EA99*(359/5040 + (563*PI()^2)/67200) + EA100*EA91^2*EA93*(7/30 + PI()^2/112) + EA100*EA91*EA92*EA97*(1979/30240 + (341*PI()^2)/25200) + EA100*EA91*EA92^2*(43/480 + (17*PI()^2)/560) + EA100*EA91^2*EA95*(11/40 + (11*PI()^2)/280) + EA100*EA91^3*(1/3 + (23*PI()^2)/360))","v":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,0.88000000000000056,57.713824483189541,9.6254668342605782E-3,62.069395668654025,59.73569536448619,58.365542434592143,57.713824483189541,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},1.2326190655809911E-2,9.3038273999792951E-3,9.1841341399140335E-3,9.6254668342605782E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,62.069395668654025,59.73569536448619,58.365542434592143,57.713824483189541,"","","","","","","","","","","",1.2326190655809911E-2,9.3038273999792951E-3,9.1841341399140335E-3,9.6254668342605782E-3,"","","","","","","","","","","",null,1.4053724952268129E-2,1.0660190506129118E-2,1.0657701542267207E-2,1.1347670815372026E-2,"","","","","","","","","","","",null,"","","","","","","","","","","","","","","","","",null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$f":"IF(OR(ISERROR(AT29),$B$14<>\"u\"),\"\",(EA100*EA93^3)/576 + (17*EA100*EA93*EA94^2)/44352 + (563*EA100*EA93^2*EA95)/67200 + (197*EA100*EA94^2*EA95)/277200 + (3*EA100*EA93^2*EA96)/2816 + (83*EA100*EA94^2*EA96)/988416 + (1627*EA100*EA93*EA95*EA96)/443520 + (3*EA100*EA93*EA96^2)/13312 + (88069*EA100*EA95*EA96^2)/215255040 + (EA100*EA96^3)/61440 + (7877*EA100*EA93*EA94*EA97)/4435200 + (43843*EA100*EA94*EA96*EA97)/107627520 + (191*EA100*EA93*EA94*EA98)/960960 + (211877*EA100*EA94*EA95*EA98)/550368000 + (73*EA100*EA94*EA96*EA98)/1647360 + (19857*EA100*EA93*EA97*EA98)/40768000 + (121*EA100*EA96*EA97*EA98)/1075200 + (13*EA100*EA93*EA98^2)/492800 + (30463*EA100*EA95*EA98^2)/576576000 + (101*EA100*EA96*EA98^2)/16972800 + (1627*EA100*EA93^2*EA99)/887040 + (195691*EA100*EA94^2*EA99)/1210809600 + (88069*EA100*EA93*EA96*EA99)/107627520 + (1423*EA100*EA96^2*EA99)/15375360 + (54959*EA100*EA94*EA98*EA99)/620928000 + (50412979*EA100*EA98^2*EA99)/4116752640000 + EA101^2*EA104^2*(19763671327/102387392635207000 + PI()^2/209715200) + EA101^2*EA102^2*(66433891/116609682309120 + (1503*PI()^2)/110493171712) + EA101^2*EA102*EA98*(592832873/134776147968000 + (71*PI()^2)/643399680) + EA101^2*EA104*EA96*(2208869431/336401265328128 + PI()^2/5505024) + EA101^2*EA102*EA105*(182910802853/82231420413542400 + (2777486147*PI()^2)/14737579242946500) + EA101^2*EA98^2*(1260251299/148203095040000 + (29*PI()^2)/128409600) + EA101^2*EA103*EA104*(6539833741387/2220248351165640000 + (84042493*PI()^2)/350894743879680) + EA101^3*EA102*(87860767333/30276113879531500 + (3453809*PI()^2)/13052606414848) + EA101^2*EA102*EA94*(18026207/1185624760320 + (2131*PI()^2)/5297324032) + EA101^2*EA105*EA98*(2255050459933/270322445352960000 + (469756579*PI()^2)/629322095001600) + EA101^2*EA104*EA93*(19773869/729615237120 + PI()^2/1245184) + EA101^2*EA104*EA99*(896597057437/75690284698828800 + (85568519*PI()^2)/83909612666880) + EA101^3*EA98*(1608359141/148203095040000 + (1368973*PI()^2)/1300252262400) + EA101^2*EA94*EA98*(1223119/20756736000 + (373*PI()^2)/224040960) + EA101^2*EA96^2*(473113/8453652480 + PI()^2/557056) + EA101^2*EA105*EA94*(6017544079/215568138240000 + (13376611*PI()^2)/5048038195200) + EA101^2*EA94^2*(84727/825552000 + (41*PI()^2)/13178880) + EA101^2*EA102*EA97*(78841295119/2371249520640000 + (1080400241*PI()^2)/323462755123200) + EA100*EA96*EA99^2*(264263/1614412800 + PI()^2/278528) + EA101^3*EA94*(30291083/836911595520 + (169693*PI()^2)/45166657536) + EA101^2*EA104*EA95*(1391372449/29274685440000 + (7799849*PI()^2)/1787846860800) + EA101^2*EA103*EA96*(1391372449/29274685440000 + (7799849*PI()^2)/1787846860800) + EA100*EA97*EA98*EA99*(546241/2690688000 + (3*PI()^2)/565760) + EA100*EA99^3*(39838781/435891456000 + (1593269*PI()^2)/225833287680) + EA101^2*EA97*EA98*(39240787/317011968000 + (52792379*PI()^2)/3952082534400) + EA101^2*EA102*EA92*(81187/688816128 + (1465873*PI()^2)/105388867584) + EA100*EA96*EA97^2*(103511/244608000 + PI()^2/61440) + EA101^2*EA93*EA96*(44881061/96864768000 + PI()^2/61440) + EA100*EA93*EA99^2*(4193641/6054048000 + PI()^2/61440) + EA101^2*EA104*EA91*(4419929/23247544320 + (1412627*PI()^2)/75277762560) + EA101^2*EA103*EA93*(4419929/23247544320 + (1412627*PI()^2)/75277762560) + EA101^2*EA96*EA99*(4419929/23247544320 + (1412627*PI()^2)/75277762560) + EA100*EA94*EA97*EA99*(1552433/2201472000 + PI()^2/49920) + EA100*EA95*EA97*EA98*(569629/672672000 + PI()^2/42240) + EA100*EA95*EA96*EA99*(4193641/3027024000 + PI()^2/30720) + EA101^2*EA93^2*(1775/1824768 + PI()^2/26624) + EA101^2*EA94*EA97*(17191513/41845579776 + (3343433*PI()^2)/69742632960) + EA101^2*EA92*EA98*(11848099/27243216000 + (51593*PI()^2)/922521600) + EA100*EA93*EA97^2*(171/98560 + PI()^2/13312) + EA100*EA95^2*EA96*(13063/4435200 + PI()^2/13312) + EA100*EA97^2*EA99*(1216867/1793792000 + (2461*PI()^2)/30750720) + EA101^2*EA95*EA96*(52852273/69742632960 + (14983*PI()^2)/184504320) + EA101^2*EA93*EA99*(52852273/69742632960 + (14983*PI()^2)/184504320) + EA100*EA94*EA95*EA97*(4349/1478400 + (5*PI()^2)/54912) + EA100*EA95*EA99^2*(8968709/8072064000 + (1423*PI()^2)/15375360) + EA100*EA93*EA95*EA99*(13063/2217600 + PI()^2/6656) + EA101^2*EA92*EA94*(274243/191600640 + (1173037*PI()^2)/5811886080) + EA100*EA95*EA97^2*(5899/2217600 + (75329*PI()^2)/215255040) + EA101^2*EA93*EA95*(288587/95800320 + (2055541*PI()^2)/5811886080) + EA101^2*EA91*EA96*(288587/95800320 + (2055541*PI()^2)/5811886080) + EA100*EA93*EA95^2*(141/11200 + PI()^2/2816) + EA100*EA95^2*EA99*(1421/316800 + (88069*PI()^2)/215255040) + EA100*EA95^3*(21757/3628800 + (1627*PI()^2)/2661120) + EA101^2*EA91*EA93*(5837/483840 + (229*PI()^2)/147840) + EA101^2*EA105^2*(280531360795583/137240626102272000000 + (57504512864077*PI()^2)/145902034505170000000 + (7*PI()^4)/1048576000) + EA101^3*EA105*(7513656977/1455582398054400 + (4250932369*PI()^2)/3964729198510080 + (7*PI()^4)/361758720) + EA101^4*(6624515533/1365839723888640 + (2208869431*PI()^2)/2018407591968760 + PI()^4/47185920) + EA101^2*EA103^2*(1552054050709/151380569397657000 + (596862346727*PI()^2)/317178335880806000 + (7*PI()^4)/241172480) + EA101^2*EA105*EA97*(1618315711/28454994247680 + (65654109517*PI()^2)/5046018979921920 + PI()^4/3932160) + EA101^2*EA103*EA99*(3793008103/47424990412800 + (131498082169*PI()^2)/8410031633203200 + PI()^4/3932160) + EA101^3*EA97*(16082551/228248616960 + (121105*PI()^2)/6840142848 + (7*PI()^4)/18677760) + EA101^2*EA99^2*(972803389/6276836966400 + (9256228021*PI()^2)/284549942476800 + (7*PI()^4)/12451840) + EA101^2*EA105*EA92*(1198908791/6276836966400 + (3641258111*PI()^2)/71137485619200 + (7*PI()^4)/6225920) + EA101^2*EA103*EA95*(972803389/3138418483200 + (9256228021*PI()^2)/142274971238400 + (7*PI()^4)/6225920) + EA101^3*EA92*(32359693/139485265920 + (1616149*PI()^2)/23247544320 + (7*PI()^4)/4177920) + EA101^2*EA97^2*(197612951/523069747200 + (13605197*PI()^2)/126804787200 + (7*PI()^4)/2785280) + EA101^2*EA103*EA91*(23082611/19372953600 + (2333927*PI()^2)/8610201600 + (7*PI()^4)/1392640) + EA101^2*EA95*EA99*(23082611/19372953600 + (2333927*PI()^2)/8610201600 + (7*PI()^4)/1392640) + EA101^2*EA95^2*(723433/319334400 + (65704909*PI()^2)/116237721600 + (7*PI()^4)/614400) + EA101^2*EA92*EA97*(2314883/958003200 + (3484651*PI()^2)/4151347200 + (7*PI()^4)/307200) + EA101^2*EA91*EA99*(723433/159667200 + (65704909*PI()^2)/58118860800 + (7*PI()^4)/307200) + EA101^2*EA92^2*(105517/29030400 + (780889*PI()^2)/479001600 + (7*PI()^4)/133120) + EA101^2*EA91*EA95*(61513/3628800 + (2261213*PI()^2)/479001600 + (7*PI()^4)/66560) + EA101^2*EA91^2*(37/1260 + (72853*PI()^2)/7257600 + (7*PI()^4)/28160))","v":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,0.89000000000000057,58.8016458551296,8.7742679360159771E-3,62.911637585464476,60.852590825706386,59.500726605479812,58.8016458551296,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},1.1427405920490432E-2,8.6101082005129084E-3,8.4441202429359954E-3,8.7742679360159771E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,62.911637585464476,60.852590825706386,59.500726605479812,58.8016458551296,"","","","","","","","","","","",1.1427405920490432E-2,8.6101082005129084E-3,8.4441202429359954E-3,8.7742679360159771E-3,"","","","","","","","","","","",null,1.3201630333069142E-2,9.9870172281554051E-3,9.9219221575940902E-3,1.0483591712956052E-2,"","","","","","","","","","","",null,"","","","","","","","","","","","","","","","","",null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$f":"IF(OR(ISERROR(AT29),$B$14<>\"u\"),\"\",(62125159*EA101*EA102^3)/1432820204175360 + (2986757729*EA101*EA102*EA104^2)/67224045669580800 + (72782903*EA101*EA102*EA104*EA93)/10782091837440 + (106129*EA101*EA102*EA93^2)/387459072 + (1610593*EA101*EA102^2*EA94)/883406684160 + (8221331*EA101*EA104^2*EA94)/13248886210560 + (54583*EA101*EA102*EA94^2)/2075673600 + (10361427*EA101*EA102*EA104*EA96)/6526303207424 + (89233*EA101*EA102*EA93*EA96)/717516800 + (691087*EA101*EA102*EA96^2)/47904030720 + (990498163*EA101*EA102^2*EA98)/1927298915942400 + (307730597*EA101*EA104^2*EA98)/1754473719398400 + (599873*EA101*EA102*EA94*EA98)/41167526400 + (40624079*EA101*EA102*EA98^2)/19910112768000 + EA101*EA104^2*EA105*(6220123713731/65030621093733300000 + PI()^2/452984832) + EA101*EA102^2*EA105*(342810091697/1215850287543090000 + (2007*PI()^2)/317272883200) + EA101*EA102*EA103*EA104*(1435403271193/1891322669511470000 + (27*PI()^2)/1743257600) + EA101*EA104^2*EA97*(242690714089/158589167940403000 + PI()^2/24117248) + EA101*EA102*EA105^2*(4341112758126360/7.65985681152147E+21 + (172091214161*PI()^2)/3831770603166100000) + EA101*EA102*EA105*EA98*(215487560933/99118229962752000 + (11301*PI()^2)/221524459520) + EA101*EA103*EA104*EA98*(116432754839/39647291985100800 + (9*PI()^2)/143196160) + EA101*EA102*EA104*EA99*(1745359172143/555062087791411000 + (3*PI()^2)/44843008) + EA101*EA104*EA105*EA96*(1472540521/453111908401152 + PI()^2/12058624) + EA101*EA103*EA104*EA105*(4221775379593/2816123827765240000 + (7767739081*PI()^2)/68424475056537600) + EA101*EA102^2*EA97*(47590001581/10512539541504000 + (17*PI()^2)/144506880) + EA101*EA104^2*EA92*(48116003323/8410031633203200 + PI()^2/5505024) + EA101*EA102*EA105*EA94*(448083641/59730338304000 + (157*PI()^2)/849838080) + EA101*EA102*EA103^2*(1639958629147/555062087791411000 + (180119899*PI()^2)/866916426055680) + EA101*EA103*EA104*EA94*(42725547343/4205015816601600 + PI()^2/4358144) + EA101*EA102*EA104*EA95*(274382384057/21025079083008000 + PI()^2/3440640) + EA101*EA102*EA103*EA96*(274382384057/21025079083008000 + PI()^2/3440640) + EA101*EA104*EA105*EA93*(14098445897/1051253954150400 + PI()^2/2752512) + EA101*EA104*EA105*EA99*(8556993119/1415974713753600 + (56279389*PI()^2)/116964914626560) + EA101*EA102^2*EA92*(319967/18819440640 + (711*PI()^2)/1388068864) + EA101*EA103^2*EA98*(18037663849/1617313775616000 + (74399197*PI()^2)/89903156428800) + EA101*EA102*EA97*EA98*(192061613/5489003520000 + (1531*PI()^2)/1593446400) + EA101*EA103*EA96*EA98*(1667900203/32934021120000 + (7*PI()^2)/5836800) + EA101*EA102*EA104*EA91*(1059127/19516456960 + (9*PI()^2)/7081984) + EA101*EA102*EA103*EA93*(1059127/19516456960 + (9*PI()^2)/7081984) + EA101*EA102*EA96*EA99*(1059127/19516456960 + (9*PI()^2)/7081984) + EA101*EA102*EA105*EA97*(1793934716983/105125395415040000 + (6957134609*PI()^2)/4405254665011200) + EA101*EA102*EA103*EA99*(50295846989/2102507908300800 + (34583777*PI()^2)/19578909622272) + EA101*EA103*EA104*EA97*(95032046503/4205015816601600 + (21191179*PI()^2)/10488701583360) + EA101*EA104*EA105*EA95*(2899288219/119189790720000 + (214773077*PI()^2)/104887015833600) + EA101*EA103*EA105*EA96*(2899288219/119189790720000 + (214773077*PI()^2)/104887015833600) + EA101*EA103^2*EA94*(44491807153/1185624760320000 + (14936587*PI()^2)/5048038195200) + EA101*EA102*EA94*EA97*(37619/310464000 + (1277*PI()^2)/361912320) + EA101*EA102*EA99^2*(19116774701/395208253440000 + (1219878937*PI()^2)/323462755123200) + EA101*EA102*EA92*EA98*(86767/660441600 + (2571*PI()^2)/609889280) + EA101*EA103*EA94*EA96*(14582849/83026944000 + (7*PI()^2)/1566720) + EA101*EA104*EA91*EA98*(12253897/58118860800 + (3*PI()^2)/565760) + EA101*EA103*EA93*EA98*(12253897/58118860800 + (3*PI()^2)/565760) + EA101*EA102*EA95*EA96*(1051961/4649508864 + (15*PI()^2)/2680832) + EA101*EA102*EA93*EA99*(1051961/4649508864 + (15*PI()^2)/2680832) + EA101*EA102*EA105*EA92*(313323851/5132574720000 + (13762687261*PI()^2)/2102507908300800) + EA101*EA103*EA98*EA99*(53447733553/592812380160000 + (50584421*PI()^2)/7151387443200) + EA101*EA102*EA103*EA95*(19116774701/197604126720000 + (1219878937*PI()^2)/161731377561600) + EA101*EA103*EA104*EA92*(95563405781/1185624760320000 + (60373769*PI()^2)/7151387443200) + EA101*EA104*EA105*EA91*(57937587403/592812380160000 + (125199073*PI()^2)/14302774886400) + EA101*EA103*EA105*EA93*(57937587403/592812380160000 + (125199073*PI()^2)/14302774886400) + EA101*EA102*EA97^2*(20942423/166053888000 + (135307*PI()^2)/9580806144) + EA101*EA102*EA92*EA94*(102177/224224000 + (229*PI()^2)/14676480) + EA101*EA104*EA91*EA94*(35426707/48432384000 + PI()^2/49920) + EA101*EA103*EA93*EA94*(35426707/48432384000 + PI()^2/49920) + EA101*EA102*EA93*EA95*(6556051/6918912000 + PI()^2/40320) + EA101*EA102*EA91*EA96*(6556051/6918912000 + PI()^2/40320) + EA101*EA103*EA94*EA99*(1465679/4843238400 + (63863*PI()^2)/2509258752) + EA101*EA103*EA95*EA98*(317116493/871782912000 + (60062803*PI()^2)/1976041267200) + EA101*EA102*EA103*EA91*(432437/1107025920 + (775543*PI()^2)/23952015360) + EA101*EA102*EA95*EA99*(432437/1107025920 + (775543*PI()^2)/23952015360) + EA101*EA104*EA92*EA93*(12783269/16144128000 + PI()^2/30720) + EA101*EA103*EA96*EA97*(209892223/581188608000 + (700423*PI()^2)/18819440640) + EA101*EA102*EA95^2*(14111/17937920 + (301187*PI()^2)/4305100800) + EA101*EA103*EA94*EA95*(159070733/130767436800 + (295573*PI()^2)/2682408960) + EA101*EA102*EA91*EA93*(1427/354816 + (9*PI()^2)/81536) + EA101*EA102*EA92*EA97*(85394443/96864768000 + (764081*PI()^2)/6457651200) + EA101*EA103*EA91*EA98*(70880801/48432384000 + (8663*PI()^2)/65894400) + EA101*EA102*EA91*EA99*(14111/8968960 + (301187*PI()^2)/2152550400) + EA101*EA104*EA92*EA95*(122157793/96864768000 + (227*PI()^2)/1441440) + EA101*EA103*EA92*EA96*(122157793/96864768000 + (227*PI()^2)/1441440) + EA101*EA104*EA91*EA97*(1388749/968647680 + (29749*PI()^2)/184504320) + EA101*EA103*EA93*EA97*(1388749/968647680 + (29749*PI()^2)/184504320) + EA101*EA102*EA92^2*(1428223/958003200 + (1455359*PI()^2)/5811886080) + EA101*EA103*EA91*EA94*(1165427/239500800 + (127039*PI()^2)/264176640) + EA101*EA102*EA91*EA95*(377231/59875200 + (1776119*PI()^2)/2905943040) + EA101*EA104*EA91*EA92*(294881/59875200 + (1998407*PI()^2)/2905943040) + EA101*EA103*EA92*EA93*(294881/59875200 + (1998407*PI()^2)/2905943040) + EA101*EA102*EA91^2*(14549/1209600 + (499*PI()^2)/354816) + EA101*EA103^2*EA105*(2492686997250880/462551739826176000000 + (11134720060901*PI()^2)/12158502875430900000 + (7*PI()^4)/524288000) + EA101*EA103*EA105*EA99*(2001456632741/47306427936768000 + (602328415687*PI()^2)/79294583970201600 + (7*PI()^4)/60293120) + EA101*EA103^2*EA97*(448077629/5928123801600 + (5382324397*PI()^2)/350417984716800 + PI()^4/3932160) + EA101*EA103*EA105*EA95*(29400465691/177843714048000 + (153077279*PI()^2)/4851941326848 + PI()^4/1966080) + EA101*EA103^2*EA92*(98505601/387459072000 + (15348629*PI()^2)/250925875200 + (7*PI()^4)/6225920) + EA101*EA103*EA97*EA99*(56564003/96864768000 + (48110597*PI()^2)/376388812800 + (7*PI()^4)/3112960) + EA101*EA103*EA105*EA91*(186632857/290594304000 + (23049511*PI()^2)/175648112640 + (7*PI()^4)/3112960) + EA101*EA103*EA92*EA99*(1681235267/871782912000 + (59198537*PI()^2)/116237721600 + (7*PI()^4)/696320) + EA101*EA103*EA95*EA97*(5845150111/2615348736000 + (92862173*PI()^2)/174356582400 + (7*PI()^4)/696320) + EA101*EA103*EA92*EA95*(86287/11975040 + (44040877*PI()^2)/20756736000 + (7*PI()^4)/153600) + EA101*EA103*EA91*EA97*(134923/15966720 + (107580013*PI()^2)/48432384000 + (7*PI()^4)/153600) + EA101*EA103*EA91*EA92*(10639/403200 + (78367*PI()^2)/8870400 + (7*PI()^4)/33280))","v":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,0.90000000000000058,59.999999999999957,7.9308568954526374E-3,63.823894733231256,62.064179501214966,60.740284767983809,59.999999999999957,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},1.0505276127110708E-2,7.9052687302585845E-3,7.701607242977874E-3,7.9308568954526374E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,63.823894733231256,62.064179501214966,60.740284767983809,59.999999999999957,"","","","","","","","","","","",1.0505276127110708E-2,7.9052687302585845E-3,7.701607242977874E-3,7.9308568954526374E-3,"","","","","","","","","","","",null,1.2326190655809911E-2,9.3038273999792951E-3,9.1841341399140335E-3,9.6254668342605782E-3,"","","","","","","","","","","",null,"","","","","","","","","","","","","","","","","",null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$f":"IF(OR(ISERROR(AT29),$B$14<>\"u\"),\"\",(86503*EA101*EA104*EA93*EA94)/894136320 + (349*EA101*EA93^2*EA94)/86400 + (1319*EA101*EA94^3)/9979200 + (169693*EA101*EA104*EA94*EA96)/7527776256 + (8053*EA101*EA93*EA94*EA96)/4435200 + (1184863*EA101*EA104*EA93*EA98)/43912028160 + (989*EA101*EA93^2*EA98)/887040 + (53927*EA101*EA94^2*EA98)/504504000 + (1368973*EA101*EA104*EA96*EA98)/216708710400 + (6082441*EA101*EA93*EA96*EA98)/12108096000 + EA101*EA105*EA98^2*(55157494207/13140674426880000 + (197*PI()^2)/1900953600) + EA101*EA105^2*EA98*(6031328554159/2831949427507200000 + (4663213283*PI()^2)/26317105790976000) + EA101*EA104*EA98*EA99*(25619947729/2102507908300800 + PI()^2/3655680) + EA101*EA105^2*EA94*(55167303901/7723498438656000 + (1367791*PI()^2)/2183882342400) + EA101*EA105*EA94*EA98*(4303425941/148203095040000 + (977*PI()^2)/1289932800) + EA101*EA105*EA96^2*(5839333/210777735168 + PI()^2/1245184) + EA101*EA104*EA94*EA99*(28601917/677499863040 + PI()^2/992256) + EA101*EA104*EA95*EA98*(1667900203/32934021120000 + (7*PI()^2)/5836800) + EA101*EA105*EA94^2*(32239/638668800 + (19*PI()^2)/13578240) + EA101*EA104*EA96*EA97*(702953/13511393280 + PI()^2/622592) + EA101*EA104*EA94*EA95*(14582849/83026944000 + (7*PI()^2)/1566720) + EA101*EA105*EA97*EA98*(1800961783/28229160960000 + (14974343*PI()^2)/2383795814400) + EA101*EA104*EA92*EA96*(4492651/23247544320 + PI()^2/139264) + EA101*EA104*EA93*EA97*(55397/258306048 + PI()^2/139264) + EA101*EA105*EA93*EA96*(1361753/5930496000 + PI()^2/139264) + EA101*EA104*EA97*EA99*(220805971/2439557120000 + (123675463*PI()^2)/14302774886400) + EA101*EA105*EA96*EA99*(57937587403/592812380160000 + (125199073*PI()^2)/14302774886400) + EA101*EA92*EA98^2*(1537567/6054048000 + (13*PI()^2)/1478400) + EA101*EA105*EA93^2*(317981/658944000 + PI()^2/61440) + EA101*EA105*EA94*EA97*(371044049/1743565824000 + (505951*PI()^2)/22583328768) + EA101*EA93*EA98*EA99*(21299891/24216192000 + PI()^2/42240) + EA101*EA105*EA92*EA98*(395419867/1743565824000 + (51673147*PI()^2)/1976041267200) + EA101*EA94^2*EA97*(98183/119750400 + (83*PI()^2)/2965248) + EA101*EA104*EA92*EA99*(3380371/10567065600 + (1367813*PI()^2)/37638881280) + EA101*EA104*EA95*EA97*(209892223/581188608000 + (700423*PI()^2)/18819440640) + EA101*EA105*EA95*EA96*(88973/227026800 + (176929*PI()^2)/4704860160) + EA101*EA105*EA93*EA99*(88973/227026800 + (176929*PI()^2)/4704860160) + EA101*EA92*EA94*EA98*(2201/1247400 + (191*PI()^2)/2882880) + EA101*EA92*EA96^2*(5729/3548160 + PI()^2/13312) + EA101*EA93*EA94*EA99*(48661/15966720 + (5*PI()^2)/54912) + EA101*EA105*EA92*EA94*(1967802451/2615348736000 + (653333*PI()^2)/6974263296) + EA101*EA93*EA95*EA98*(48997/13305600 + PI()^2/9360) + EA101*EA91*EA96*EA98*(48997/13305600 + PI()^2/9360) + EA101*EA92*EA94^2*(1397/453600 + (17*PI()^2)/133056) + EA101*EA93*EA96*EA97*(8069/2217600 + PI()^2/6656) + EA101*EA105*EA93*EA95*(22816777/14529715200 + (17977*PI()^2)/110702592) + EA101*EA105*EA91*EA96*(22816777/14529715200 + (17977*PI()^2)/110702592) + EA101*EA93^2*EA97*(367/48384 + PI()^2/2816) + EA101*EA93*EA94*EA95*(4609/362880 + PI()^2/2376) + EA101*EA91*EA94*EA96*(4609/362880 + PI()^2/2376) + EA101*EA92*EA97*EA98*(770489/239500800 + (17411299*PI()^2)/36324288000) + EA101*EA91*EA93*EA98*(4723/302400 + (3*PI()^2)/6160) + EA101*EA91*EA98*EA99*(701893/119750400 + (20825899*PI()^2)/36324288000) + EA101*EA92*EA96*EA99*(294881/59875200 + (1998407*PI()^2)/2905943040) + EA101*EA93*EA97*EA99*(1354319/239500800 + (255589*PI()^2)/363242880) + EA101*EA105*EA91*EA93*(759511/119750400 + (1023409*PI()^2)/1452971520) + EA101*EA92*EA93*EA96*(7907/604800 + PI()^2/1408) + EA101*EA92^2*EA98*(107/20160 + (13619*PI()^2)/13305600) + EA101*EA94*EA95^2*(3893/403200 + (28207*PI()^2)/26611200) + EA101*EA92*EA93^2*(1601/60480 + PI()^2/576) + EA101*EA92*EA94*EA97*(37949/3628800 + (23207*PI()^2)/13305600) + EA101*EA91*EA93*EA94*(1613/30240 + PI()^2/504) + EA101*EA91*EA94*EA99*(3893/201600 + (28207*PI()^2)/13305600) + EA101*EA91*EA95*EA98*(14057/604800 + (16859*PI()^2)/6652800) + EA101*EA92*EA95*EA96*(22973/1209600 + (1343*PI()^2)/443520) + EA101*EA92*EA93*EA99*(22973/1209600 + (1343*PI()^2)/443520) + EA101*EA93*EA95*EA97*(40217/1814400 + (8233*PI()^2)/2661120) + EA101*EA91*EA96*EA97*(40217/1814400 + (8233*PI()^2)/2661120) + EA101*EA92^2*EA94*(407/24192 + (6817*PI()^2)/1814400) + EA101*EA91^2*EA98*(431/10080 + (67*PI()^2)/11200) + EA101*EA91*EA94*EA95*(1139/15120 + (1231*PI()^2)/129600) + EA101*EA92*EA93*EA95*(2189/30240 + (451*PI()^2)/33600) + EA101*EA91*EA92*EA96*(2189/30240 + (451*PI()^2)/33600) + EA101*EA91*EA93*EA97*(883/10080 + (689*PI()^2)/50400) + EA101*EA91^2*EA94*(23/180 + (47*PI()^2)/2016) + EA101*EA91*EA92*EA93*(41/144 + (223*PI()^2)/3780) + EA101*EA105^3*(29942800949887/83744790213427200000 + (314253150557167*PI()^2)/4.87729658203E+21 + (7*PI()^4)/6794772480) + EA101*EA105^2*EA97*(104966691457/6931344752640000 + (505580880781*PI()^2)/158589167940403000 + (7*PI()^4)/120586240) + EA101*EA105^2*EA92*(52475948053/1016249794560000 + (45257309333*PI()^2)/3604299271372800 + PI()^4/3932160) + EA101*EA105*EA99^2*(29400465691/355687428096000 + (153077279*PI()^2)/9703882653696 + PI()^4/3932160) + EA101*EA105*EA97^2*(359795201/1743565824000 + (166309679*PI()^2)/3161666027520 + (7*PI()^4)/6225920) + EA101*EA105*EA95*EA99*(186632857/290594304000 + (23049511*PI()^2)/175648112640 + (7*PI()^4)/3112960) + EA101*EA105*EA95^2*(2159140757/1743565824000 + (158821541*PI()^2)/581188608000 + (7*PI()^4)/1392640) + EA101*EA105*EA92*EA97*(3546761521/2615348736000 + (719934221*PI()^2)/1743565824000 + (7*PI()^4)/696320) + EA101*EA105*EA91*EA99*(2159140757/871782912000 + (158821541*PI()^2)/290594304000 + (7*PI()^4)/696320) + EA101*EA105*EA92^2*(1139/534600 + (751637*PI()^2)/931392000 + (7*PI()^4)/307200) + EA101*EA92*EA99^2*(86287/23950080 + (44040877*PI()^2)/41513472000 + (7*PI()^4)/307200) + EA101*EA105*EA91*EA95*(13963/1478400 + (331394269*PI()^2)/145297152000 + (7*PI()^4)/153600) + EA101*EA92*EA97^2*(58901/7257600 + (59623*PI()^2)/17740800 + (7*PI()^4)/66560) + EA101*EA105*EA91^2*(20623/1209600 + (9209*PI()^2)/1900800 + (7*PI()^4)/66560) + EA101*EA92*EA95*EA99*(10639/403200 + (78367*PI()^2)/8870400 + (7*PI()^4)/33280) + EA101*EA91*EA97*EA99*(19013/604800 + (2465*PI()^2)/266112 + (7*PI()^4)/33280) + EA101*EA92^2*EA97*(307/13440 + (167*PI()^2)/12960 + (7*PI()^4)/14080) + EA101*EA92*EA95^2*(949/20160 + (3167*PI()^2)/172800 + (7*PI()^4)/14080) + EA101*EA92^3*(53/2880 + (1451*PI()^2)/90720 + (7*PI()^4)/8640) + EA101*EA91*EA92*EA99*(949/10080 + (3167*PI()^2)/86400 + (7*PI()^4)/7040) + EA101*EA91*EA95*EA97*(1727/15120 + (69989*PI()^2)/1814400 + (7*PI()^4)/7040) + EA101*EA91^2*EA97*(89/480 + (2467*PI()^2)/30240 + (7*PI()^4)/2880) + EA101*EA91*EA92*EA95*(47/144 + (1517*PI()^2)/10080 + (7*PI()^4)/1440) + EA101*EA91^2*EA92*(1/2 + (221*PI()^2)/720 + PI()^4/80))","v":0},0,0,0,"","","","","","","","","","",""]
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+ (18485789209*EA102^2*EA103*EA104)/434622128599859000 + (41*EA102^2*EA104^2)/18496880640 + (82022476183*EA102^3*EA105)/7823198314797460000 + (9043747*EA102^2*EA104*EA91)/2781095116800 + (5784167*EA102^3*EA92)/8343285350400 + (9043747*EA102^2*EA103*EA93)/2781095116800 + (17*EA102^2*EA104*EA93)/48168960 + (3547*EA102^2*EA91*EA93)/13453440 + (23*EA102^2*EA93^2)/1505280 + (1301*EA102^3*EA94)/20821032960 + (17945817*EA102*EA103*EA104*EA94)/15027671859200 + (19708847*EA102^2*EA105*EA94)/45083015577600 + (48077*EA102^2*EA92*EA94)/1614412800 + (11689*EA102*EA103*EA93*EA94)/124185600 + (15473*EA102^2*EA94^2)/10978007040 + (108932459*EA102^2*EA104*EA95)/142762882662400 + (32359*EA102^2*EA93*EA95)/538137600 + (108932459*EA102^2*EA103*EA96)/142762882662400 + (4509*EA102^2*EA104*EA96)/55246585856 + (32359*EA102^2*EA91*EA96)/538137600 + (1269*EA102^2*EA93*EA96)/187658240 + (458831*EA102^2*EA95*EA96)/32934021120 + (2133*EA102^2*EA96^2)/2776137728 + (817*EA101*EA94*EA96^2)/3913728 + (3423419*EA102^3*EA97)/19321292390400 + (225271*EA102^2*EA94*EA97)/29940019200 + (1033479*EA102^3*EA98)/59700841840640 + (5711382161*EA102*EA103*EA104*EA98)/16967607681024000 + (95484149*EA102^2*EA105*EA98)/771254894592000 + (682547*EA102^2*EA92*EA98)/82335052800 + (661363*EA102*EA103*EA93*EA98)/25333862400 + (1858247*EA102^2*EA94*EA98)/2433458227200 + (10693*EA101*EA96^2*EA98)/184504320 + (41077*EA102^2*EA97*EA98)/19475456000 + (307*EA102^2*EA98^2)/2927468544 + (40961*EA101*EA94*EA98^2)/1397088000 + (16376*EA101*EA98^3)/6030399375 + (178367729*EA102^2*EA104*EA99)/991952449044480 + (458831*EA102^2*EA93*EA99)/32934021120 + (9043747*EA102^2*EA96*EA99)/2781095116800 + EA102^2*EA105^2*(1947158707067010/5.57637575878763E+22 + (41*PI()^2)/55490641920) + EA102^2*EA103^2*(5260376196307/28369840042672100000 + (2007*PI()^2)/634545766400) + EA102*EA103*EA104*EA105*(13042631426236400/6.97046969848454E+22 + (5*PI()^2)/1387266048) + EA102*EA103^2*EA98*(4115930321/2855257653248000 + (11301*PI()^2)/443048919040) + EA102^2*EA105*EA97*(1896888137/1694328717312000 + (1503*PI()^2)/55246585856) + EA102^2*EA103*EA99*(6793909261/4405254665011200 + (1503*PI()^2)/55246585856) + EA102*EA103^2*EA105*(635552589160141/851095201280163000000 + (279935023*PI()^2)/5676697189875710) + EA102^2*EA99^2*(67574762993/21025079083008000 + (17*PI()^2)/289013760) + EA102*EA103*EA104*EA97*(93379965293/30836782655078400 + (3*PI()^2)/44843008) + EA102*EA103*EA105*EA96*(5044368059/1573305237504000 + (3*PI()^2)/44843008) + EA102*EA103^2*EA94*(17575678093/3504179847168000 + (157*PI()^2)/1699676160) + EA102^2*EA105*EA92*(44257438343/10512539541504000 + (17*PI()^2)/144506880) + EA102^2*EA103*EA95*(67574762993/10512539541504000 + (17*PI()^2)/144506880) + EA102^2*EA97^2*(2153831/239520153600 + (711*PI()^2)/2776137728) + EA102*EA103*EA104*EA92*(21865995481/1911370825728000 + PI()^2/3440640) + EA102*EA103*EA105*EA93*(34966348777/2628134885376000 + PI()^2/3440640) + EA102*EA103*EA105*EA99*(2799415337801/462551739826176000 + (3076629299*PI()^2)/7368789621473280) + EA102^2*EA103*EA91*(35379913/1317360844800 + (711*PI()^2)/1388068864) + EA102^2*EA95*EA99*(35379913/1317360844800 + (711*PI()^2)/1388068864) + EA102*EA103^2*EA97*(12023755477/1051253954150400 + (11420023*PI()^2)/13052606414848) + EA102^2*EA95^2*(726293/12915302400 + (423*PI()^2)/375316480) + EA102*EA103*EA105*EA95*(3975994343/162230548480000 + (7817355509*PI()^2)/4405254665011200) + EA101*EA97*EA98^2*(327917/4843238400 + (101*PI()^2)/50918400) + EA102^2*EA92*EA97*(434809/6457651200 + (423*PI()^2)/187658240) + EA102^2*EA91*EA99*(726293/6457651200 + (423*PI()^2)/187658240) + EA102*EA103*EA94*EA95*(8517037/48432384000 + (1277*PI()^2)/361912320) + EA102*EA103^2*EA92*(5450230339/131736084480000 + (189572109*PI()^2)/51913775513600) + EA102*EA103*EA91*EA98*(566567/2690688000 + (2571*PI()^2)/609889280) + EA102^2*EA92^2*(753283/6054048000 + (23*PI()^2)/4515840) + EA101*EA96*EA98*EA99*(12253897/58118860800 + (3*PI()^2)/565760) + EA102*EA103*EA92*EA96*(2548547/12915302400 + (15*PI()^2)/2680832) + EA102*EA103*EA93*EA97*(281041/1291530240 + (15*PI()^2)/2680832) + EA102*EA103*EA105*EA91*(6530066219/65868042240000 + (196685589*PI()^2)/25956887756800) + EA102^2*EA91*EA95*(11408489/24216192000 + (23*PI()^2)/2257920) + EA101*EA94*EA97*EA98*(1551919/3302208000 + (73*PI()^2)/4942080) + EA101*EA98*EA99^2*(317116493/1743565824000 + (60062803*PI()^2)/3952082534400) + EA102*EA103*EA91*EA94*(1279657/1729728000 + (229*PI()^2)/14676480) + EA101*EA96^2*EA97*(42784057/96864768000 + PI()^2/61440) + EA101*EA94*EA96*EA99*(35426707/48432384000 + PI()^2/49920) + EA101*EA95*EA96*EA98*(21299891/24216192000 + PI()^2/42240) + EA102*EA103*EA92*EA93*(13277477/16144128000 + PI()^2/40320) + EA102^2*EA91^2*(8443/8870400 + (9*PI()^2)/326144) + EA102*EA103*EA92*EA99*(193238833/581188608000 + (8258381*PI()^2)/263472168960) + EA101*EA94*EA99^2*(159070733/261534873600 + (295573*PI()^2)/5364817920) + EA101*EA97^2*EA98*(135539923/290594304000 + (22469*PI()^2)/395366400) + EA101*EA94*EA95*EA96*(48661/15966720 + (5*PI()^2)/54912) + EA101*EA95*EA98*EA99*(70880801/48432384000 + (8663*PI()^2)/65894400) + EA102*EA103*EA92*EA95*(119487/89689600 + (873713*PI()^2)/6457651200) + EA102*EA103*EA91*EA97*(18163237/12108096000 + (99377*PI()^2)/717516800) + EA101*EA96*EA97*EA99*(1388749/968647680 + (29749*PI()^2)/184504320) + EA101*EA94*EA97^2*(35047/22809600 + (44207*PI()^2)/215255040) + EA101*EA95^2*EA98*(701893/239500800 + (20825899*PI()^2)/72648576000) + EA101*EA94*EA95*EA99*(1165427/239500800 + (127039*PI()^2)/264176640) + EA102*EA103*EA91*EA92*(337/63360 + (63253*PI()^2)/107627520) + EA101*EA95*EA96*EA97*(1354319/239500800 + (255589*PI()^2)/363242880) + EA101*EA97*EA99^2*(5845150111/5230697472000 + (92862173*PI()^2)/348713164800 + (7*PI()^4)/1392640) + EA101*EA97^3*(60281/68428800 + (83774413*PI()^2)/290594304000 + (7*PI()^4)/921600) + EA101*EA95*EA97*EA99*(134923/15966720 + (107580013*PI()^2)/48432384000 + (7*PI()^4)/153600) + EA101*EA95^2*EA97*(19013/1209600 + (2465*PI()^2)/532224 + (7*PI()^4)/66560))","v":0},0,0,0,"","","","","","","","","","",""]
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+ (46329663*EA102*EA104^2*EA92)/65263032074240 + (48312791*EA102*EA104*EA105*EA93)/29967718809600 + (237851*EA102*EA104*EA92*EA93)/2152550400 + (16897*EA102*EA105*EA93^2)/263577600 + (313*EA102*EA92*EA93^2)/67200 + (689*EA102*EA104^2*EA94)/10762321920 + (11689*EA102*EA104*EA91*EA94)/124185600 + (1277*EA102*EA104*EA93*EA94)/120637440 + (67*EA102*EA91*EA93*EA94)/8400 + (2050907*EA102*EA105*EA94^2)/329340211200 + (493*EA102*EA92*EA94^2)/1108800 + (7190731*EA102*EA104*EA94*EA95)/329340211200 + (400952597*EA102*EA104*EA105*EA96)/1052684231639040 + (6784181*EA102*EA104*EA92*EA96)/263472168960 + (502289*EA102*EA105*EA93*EA96)/17108582400 + (1847*EA102*EA92*EA93*EA96)/887040 + (7190731*EA102*EA103*EA94*EA96)/329340211200 + (6393*EA102*EA104*EA94*EA96)/2648662016 + (661*EA102*EA91*EA94*EA96)/369600 + (177925749*EA102*EA105*EA96^2)/51913775513600 + (157422763*EA102*EA104^2*EA97)/866916426055680 + (669259*EA102*EA104*EA93*EA97)/23952015360 + (768129*EA102*EA104*EA96*EA97)/117451980800 + (31*EA102*EA104^2*EA98)/1743257600 + (661363*EA102*EA104*EA91*EA98)/25333862400 + (1531*EA102*EA104*EA93*EA98)/531148800 + (343*EA102*EA91*EA93*EA98)/158400 + (134309729*EA102*EA105*EA94*EA98)/38649042432000 + (26087*EA102*EA92*EA94*EA98)/108108000 + (197678387*EA102*EA104*EA95*EA98)/32446109696000 + (197678387*EA102*EA103*EA96*EA98)/32446109696000 + (71*EA102*EA104*EA96*EA98)/107233280 + (109701*EA102*EA91*EA96*EA98)/224224000 + (673619131*EA102*EA105*EA98^2)/1376642082816000 + (157489873*EA102*EA104*EA94*EA99)/30919233945600 + (92573347*EA102*EA104*EA98*EA99)/64783156838400 + EA102*EA105^3*(133914109106538000/2.78818787939381E+24 + (46418972783*PI()^2)/12969069733792900000) + EA102*EA105^2*EA98*(28610214793789/106386900160020000000 + (31*PI()^2)/5229772800) + EA102*EA104*EA105*EA99*(18379442801/23747075928576000 + (27*PI()^2)/1743257600) + EA102*EA105^2*EA94*(1285768807889/1387655219478520000 + (689*PI()^2)/32286965760) + EA102*EA104*EA105*EA95*(5044368059/1573305237504000 + (3*PI()^2)/44843008) + EA102*EA105^2*EA97*(30269915251937/13876552194785200000 + (2763174443*PI()^2)/14737579242946500) + EA102*EA105*EA97*EA98*(14193602081/1642584303360000 + (71*PI()^2)/321699840) + EA102*EA103*EA98*EA99*(31589170597/2628134885376000 + (71*PI()^2)/321699840) + EA102*EA104*EA97*EA99*(132081266393/10512539541504000 + PI()^2/3440640) + EA102*EA104*EA105*EA91*(34966348777/2628134885376000 + PI()^2/3440640) + EA102*EA105*EA96*EA99*(34966348777/2628134885376000 + PI()^2/3440640) + EA102*EA105^2*EA92*(826207948199/105125395415040000 + (6819488353*PI()^2)/8810509330022400) + EA102*EA105*EA94*EA97*(7565681/253338624000 + (2131*PI()^2)/2648662016) + EA102*EA103*EA94*EA99*(708313/16889241600 + (2131*PI()^2)/2648662016) + EA102*EA105*EA99^2*(3975994343/324461096960000 + (7817355509*PI()^2)/8810509330022400) + EA102*EA105*EA92*EA98*(534977767/16467010560000 + (1531*PI()^2)/1593446400) + EA102*EA103*EA95*EA98*(59091083/1176215040000 + (1531*PI()^2)/1593446400) + EA102*EA104*EA92*EA99*(13895467/292746854400 + (9*PI()^2)/7081984) + EA102*EA104*EA95*EA97*(6254893/119760076800 + (9*PI()^2)/7081984) + EA102*EA103*EA96*EA97*(6254893/119760076800 + (9*PI()^2)/7081984) + EA102*EA105*EA95*EA96*(36443807/658680422400 + (9*PI()^2)/7081984) + EA102*EA105*EA93*EA99*(36443807/658680422400 + (9*PI()^2)/7081984) + EA102*EA105*EA97^2*(43322311/1330667520000 + (172479589*PI()^2)/51913775513600) + EA102*EA105*EA92*EA94*(49499/440294400 + (1277*PI()^2)/361912320) + EA102*EA104*EA92*EA95*(2548547/12915302400 + (15*PI()^2)/2680832) + EA102*EA104*EA91*EA97*(281041/1291530240 + (15*PI()^2)/2680832) + EA102*EA105*EA93*EA95*(932069/4036032000 + (15*PI()^2)/2680832) + EA102*EA105*EA91*EA96*(932069/4036032000 + (15*PI()^2)/2680832) + EA102*EA103*EA97*EA99*(6087193439/65868042240000 + (14920193*PI()^2)/1996683673600) + EA102*EA105*EA95*EA99*(6530066219/65868042240000 + (196685589*PI()^2)/25956887756800) + EA102*EA105*EA95^2*(46525679/232475443200 + (3897911*PI()^2)/239520153600) + EA102*EA91*EA98*EA99*(255121/288288000 + (83*PI()^2)/4435200) + EA102*EA104*EA91*EA92*(13277477/16144128000 + PI()^2/40320) + EA102*EA105*EA91*EA93*(3932483/4036032000 + PI()^2/40320) + EA102*EA105*EA92*EA97*(16737257/72648576000 + (4052089*PI()^2)/146373427200) + EA102*EA103*EA95*EA97*(30948661/83026944000 + (85363*PI()^2)/2661335040) + EA102*EA105*EA91*EA99*(46525679/116237721600 + (3897911*PI()^2)/119760076800) + EA102*EA92^2*EA98*(1277/1330560 + (157*PI()^2)/3669120) + EA102*EA105*EA92^2*(230958227/581188608000 + (2255059*PI()^2)/38745907200) + EA102*EA92*EA94*EA97*(287/158400 + (313*PI()^2)/4484480) + EA102*EA91*EA94*EA99*(277/88704 + (313*PI()^2)/4484480) + EA102*EA91*EA95*EA98*(12373/3326400 + (157*PI()^2)/1834560) + EA102*EA92*EA93*EA99*(3393/985600 + (9*PI()^2)/81536) + EA102*EA91*EA96*EA97*(16963/4435200 + (9*PI()^2)/81536) + EA102*EA105*EA91*EA95*(29211983/18162144000 + (2735539*PI()^2)/19372953600) + EA102*EA92^2*EA94*(217/64800 + (107*PI()^2)/665280) + EA102*EA91^2*EA98*(5/672 + (3*PI()^2)/12320) + EA102*EA105*EA91^2*(3063/985600 + (69193*PI()^2)/215255040) + EA102*EA91*EA94*EA95*(5981/453600 + (107*PI()^2)/332640) + EA102*EA92*EA93*EA95*(979/67200 + (3*PI()^2)/6160) + EA102*EA91*EA92*EA96*(979/67200 + (3*PI()^2)/6160) + EA102*EA91*EA93*EA97*(551/33600 + (3*PI()^2)/6160) + EA102*EA91*EA97*EA99*(26687/4435200 + (12965*PI()^2)/21525504) + EA102*EA91^2*EA94*(389/15120 + PI()^2/1008) + EA102*EA92^2*EA97*(7733/1451520 + (5749*PI()^2)/5322240) + EA102*EA92*EA95^2*(12793/1209600 + (2279*PI()^2)/1774080) + EA102*EA92^3*(653/120960 + (313*PI()^2)/201600) + EA102*EA91*EA92*EA93*(1949/30240 + PI()^2/504) + EA102*EA91*EA92*EA99*(12793/604800 + (2279*PI()^2)/887040) + EA102*EA91*EA95*EA97*(43511/1814400 + (1409*PI()^2)/532224) + EA102*EA91^2*EA97*(101/2240 + (59*PI()^2)/9600) + EA102*EA91*EA92*EA95*(2537/30240 + (1139*PI()^2)/100800) + EA102*EA91^2*EA92*(19/120 + (29*PI()^2)/1120))","v":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,0.9300000000000006,64.539697120941199,5.4541356647175984E-3,67.160487563770744,66.500915325317152,65.34386439738384,64.539697120941199,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},7.5988163986100568E-3,5.7166218149077548E-3,5.4553058755143057E-3,5.4541356647175984E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,67.160487563770744,66.500915325317152,65.34386439738384,64.539697120941199,"","","","","","","","","","","",7.5988163986100568E-3,5.7166218149077548E-3,5.4553058755143057E-3,5.4541356647175984E-3,"","","","","","","","","","","",null,9.559801275670736E-3,7.1886260360272802E-3,6.9562576961465731E-3,7.0959775918896543E-3,"","","","","","","","","","","",null,"","","","","","","","","","","","","","","","","",null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$f":"IF(OR(ISERROR(AT29),$B$14<>\"u\"),\"\",(2888008157*EA103*EA104^3)/589503169717862000 + (31730711*EA103*EA104^2*EA93)/27969870888960 + (107*EA102*EA93^2*EA94)/221760 + (907*EA102*EA94^3)/60540480 + (661*EA102*EA93*EA94*EA95)/369600 + (46522243*EA103*EA104^2*EA96)/175447371939840 + (939*EA102*EA93*EA94*EA96)/4484480 + (8993*EA102*EA94*EA95*EA96)/22014720 + (7339*EA102*EA92*EA96^2)/30750720 + (229*EA102*EA94*EA96^2)/9784320 + (137*EA102*EA93^2*EA97)/118272 + (133421*EA102*EA94^2*EA97)/1210809600 + (5099*EA102*EA93*EA96*EA97)/9784320 + (947*EA102*EA96^2*EA97)/15769600 + (157*EA102*EA93^2*EA98)/1223040 + (2371*EA102*EA94^2*EA98)/201801600 + (109701*EA102*EA93*EA95*EA98)/224224000 + (83*EA102*EA93*EA96*EA98)/1478400 + (16517*EA102*EA95*EA96*EA98)/146764800 + (7713*EA102*EA96^2*EA98)/1219778560 + (3701*EA102*EA94*EA97*EA98)/61152000 + (6103*EA102*EA92*EA98^2)/183456000 + (21547*EA102*EA94*EA98^2)/6861254400 + (32143*EA102*EA97*EA98^2)/3818880000 + (1039*EA102*EA98^3)/3651648000 + (8993*EA102*EA93*EA94*EA99)/22014720 + (11689*EA102*EA94*EA96*EA99)/124185600 + (16517*EA102*EA93*EA98*EA99)/146764800 + (661363*EA102*EA96*EA98*EA99)/25333862400 + EA103^2*EA104^2*(72379420806883/1.13803586914033E+21 + PI()^2/905969664) + EA103*EA104^2*EA99*(536568051133/1013208572952570000 + PI()^2/104857600) + EA103*EA104*EA105^2*(786082181159651/4.13064871021306E+21 + (294921313*PI()^2)/21833450730291200) + EA103^3*EA104*(14228879003947/42554760064008100000 + (3788707301*PI()^2)/182465266817433000) + EA103*EA104^2*EA95*(973676323/440525466501120 + PI()^2/24117248) + EA103^2*EA104*EA96*(973676323/440525466501120 + PI()^2/24117248) + EA103^2*EA98^2*(36917610089/13140674426880000 + (197*PI()^2)/3801907200) + EA103*EA104*EA105*EA94*(3463536649/1387655219478520 + (5*PI()^2)/94961664) + EA103*EA104^2*EA91*(778001383/84100316332032 + PI()^2/5505024) + EA103^2*EA104*EA93*(778001383/84100316332032 + PI()^2/5505024) + EA103^2*EA105*EA98*(18651612383237/6607881997516800000 + (12891473*PI()^2)/65957658624000) + EA103^2*EA104*EA99*(3776249956033/925103479652352000 + (46522243*PI()^2)/175447371939840) + EA103^3*EA96*(58192725971/10512539541504000 + (31730711*PI()^2)/83909612666880) + EA103^2*EA94*EA98*(322937821/16467010560000 + (977*PI()^2)/2579865600) + EA103^2*EA96^2*(4651811/239520153600 + PI()^2/2490368) + EA102*EA98*EA99^2*(59091083/2352430080000 + (1531*PI()^2)/3186892800) + EA103^2*EA105*EA94*(285816612371/30035827261440000 + (15341849*PI()^2)/22081477017600) + EA103^2*EA94^2*(511843/14902272000 + (19*PI()^2)/27156480) + EA103^2*EA104*EA95*(58192725971/3504179847168000 + (31730711*PI()^2)/27969870888960) + EA103^3*EA93*(109810619/4879114240000 + (7759469*PI()^2)/4767591628800) + EA102*EA94*EA99^2*(8517037/96864768000 + (1277*PI()^2)/723824640) + EA103*EA104*EA105*EA92*(136441921439/6570337213440000 + (405761*PI()^2)/204857452800) + EA102*EA97^2*EA98*(823/11827200 + (2571*PI()^2)/1219778560) + EA103^2*EA97*EA98*(630247147/14637342720000 + (1856611*PI()^2)/529732403200) + EA103^2*EA93*EA96*(264263/1614412800 + PI()^2/278528) + EA102*EA95*EA98*EA99*(566567/2690688000 + (2571*PI()^2)/609889280) + EA103^2*EA104*EA91*(329431857/4879114240000 + (7759469*PI()^2)/1589197209600) + EA103^2*EA96*EA99*(329431857/4879114240000 + (7759469*PI()^2)/1589197209600) + EA102*EA96*EA97*EA99*(281041/1291530240 + (15*PI()^2)/2680832) + EA102*EA94*EA97^2*(835577/3459456000 + (229*PI()^2)/29352960) + EA103^2*EA93^2*(4193641/12108096000 + PI()^2/122880) + EA102*EA95^2*EA98*(255121/576576000 + (83*PI()^2)/8870400) + EA103^2*EA94*EA97*(476597/3302208000 + (949853*PI()^2)/75277762560) + EA103^2*EA92*EA98*(89900009/581188608000 + (19398569*PI()^2)/1317360844800) + EA102*EA94*EA95*EA99*(1279657/1729728000 + (229*PI()^2)/14676480) + EA102*EA97*EA99^2*(30948661/166053888000 + (85363*PI()^2)/5322670080) + EA102*EA92*EA97*EA98*(1261069/2421619200 + (83*PI()^2)/4435200) + EA102*EA97^3*(77297/489216000 + (947*PI()^2)/47308800) + EA103^2*EA95*EA96*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EA103^2*EA93*EA99*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EA102*EA92*EA96*EA99*(13277477/16144128000 + PI()^2/40320) + EA102*EA95*EA96*EA97*(3146329/3459456000 + PI()^2/40320) + EA102*EA93*EA97*EA99*(3146329/3459456000 + PI()^2/40320) + EA102*EA94*EA95^2*(277/177408 + (313*PI()^2)/8968960) + EA103^2*EA92*EA94*(1658521/3228825600 + (138059*PI()^2)/2583060480) + EA102*EA92*EA99^2*(119487/179379200 + (873713*PI()^2)/12915302400) + EA103^2*EA93*EA95*(8968709/8072064000 + (1423*PI()^2)/15375360) + EA103^2*EA91*EA96*(8968709/8072064000 + (1423*PI()^2)/15375360) + EA102*EA92*EA95*EA96*(3393/985600 + (9*PI()^2)/81536) + EA102*EA93*EA95*EA97*(16963/4435200 + (9*PI()^2)/81536) + EA102*EA95*EA97*EA99*(18163237/12108096000 + (99377*PI()^2)/717516800) + EA102*EA92*EA97^2*(901/554400 + (54517*PI()^2)/215255040) + EA102*EA95^2*EA97*(26687/8870400 + (12965*PI()^2)/43051008) + EA103^2*EA91*EA93*(1421/316800 + (88069*PI()^2)/215255040) + EA102*EA92*EA95*EA99*(337/63360 + (63253*PI()^2)/107627520) + EA103^4*(46326137919619/77091956637696000000 + (536568051133*PI()^2)/6079251437715450000 + (7*PI()^4)/6291456000) + EA103^2*EA105^2*(68748722466973/97702255248998400000 + (317564198668523*PI()^2)/2.84508967285083E+21 + (7*PI()^4)/4529848320) + EA103^3*EA99*(1498706488997/157688093122560000 + (973676323*PI()^2)/660788199751680 + (7*PI()^4)/361758720) + EA103^2*EA105*EA97*(1405333045871/70083596943360000 + (3287321647*PI()^2)/881050933002240 + (7*PI()^4)/120586240) + EA103^3*EA95*(4753519363/127031224320000 + (778001383*PI()^2)/126150474498048 + PI()^4/11796480) + EA103^2*EA99^2*(4753519363/84687482880000 + (778001383*PI()^2)/84100316332032 + PI()^4/7864320) + EA103^2*EA105*EA92*(162756492077/2371249520640000 + (62419064077*PI()^2)/4205015816601600 + PI()^4/3932160) + EA103^3*EA91*(5804629/39626496000 + (4651811*PI()^2)/179640115200 + (7*PI()^4)/18677760) + EA103^2*EA97^2*(2956787/21525504000 + (82706627*PI()^2)/2634721689600 + (7*PI()^4)/12451840) + EA103^2*EA95*EA99*(5804629/13208832000 + (4651811*PI()^2)/59880038400 + (7*PI()^4)/6225920) + EA103^2*EA95^2*(20662987/24216192000 + (264263*PI()^2)/1614412800 + (7*PI()^4)/2785280) + EA103^2*EA92*EA97*(21792973/24216192000 + (269219*PI()^2)/1076275200 + (7*PI()^4)/1392640) + EA103^2*EA91*EA99*(20662987/12108096000 + (264263*PI()^2)/807206400 + (7*PI()^4)/1392640) + EA103^2*EA92^2*(63913/45619200 + (7414199*PI()^2)/14902272000 + (7*PI()^4)/614400) + EA103^2*EA91*EA95*(130751/19958400 + (4193641*PI()^2)/3027024000 + (7*PI()^4)/307200) + EA103^2*EA91^2*(3737/302400 + (13063*PI()^2)/4435200 + (7*PI()^4)/133120))","v":0},0,0,0,"","","","","","","","","","",""]
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+ (563*EA103*EA93^3)/201600 + (10277*EA103*EA104*EA94^2)/1197600768 + (197*EA103*EA93*EA94^2)/277200 + (1593269*EA103*EA104*EA93*EA96)/37638881280 + (1627*EA103*EA93^2*EA96)/887040 + (7759469*EA103*EA104*EA96^2)/1589197209600 + (21097249*EA103*EA104*EA94*EA98)/4417033420800 + (211877*EA103*EA93*EA94*EA98)/550368000 + (1842657923*EA103*EA104*EA98^2)/2753284165632000 + EA103*EA104*EA105*EA98*(1025255905243/1418492002133600000 + PI()^2/68812800) + EA103*EA105^2*EA96*(292633889201/94398314250240000 + (42397837*PI()^2)/175447371939840) + EA103*EA104*EA97*EA98*(30839421971/2628134885376000 + PI()^2/3655680) + EA103*EA105*EA96*EA98*(326317602361/26281348853760000 + PI()^2/3655680) + EA103*EA104*EA96*EA99*(778001383/42050158166016 + PI()^2/2752512) + EA103*EA104*EA105*EA97*(8011766650903/1387655219478520000 + (16721669*PI()^2)/35089474387968) + EA103*EA104*EA94*EA97*(4120423/101335449600 + PI()^2/992256) + EA103*EA105*EA94*EA96*(259163/6031872000 + PI()^2/992256) + EA103*EA105^2*EA93*(13400463413/1072708116480000 + (431249713*PI()^2)/419548063334400) + EA103*EA104*EA99^2*(58192725971/3504179847168000 + (31730711*PI()^2)/27969870888960) + EA103*EA104*EA92*EA98*(1459537649/32934021120000 + (7*PI()^2)/5836800) + EA103*EA105*EA93*EA98*(13480409/261381120000 + (7*PI()^2)/5836800) + EA103*EA104*EA95*EA96*(4651811/59880038400 + PI()^2/622592) + EA103*EA104*EA93*EA99*(4651811/59880038400 + PI()^2/622592) + EA103*EA105*EA98*EA99*(85802780663/3754478407680000 + (6153607*PI()^2)/3701894676480) + EA103*EA104*EA97^2*(1891658863/43912028160000 + (6808519*PI()^2)/1589197209600) + EA103*EA104*EA92*EA94*(8108839/52835328000 + (7*PI()^2)/1566720) + EA103*EA105*EA93*EA94*(21173/118609920 + (7*PI()^2)/1566720) + EA103*EA105*EA94*EA99*(45601474571/592812380160000 + (14991763*PI()^2)/2524019097600) + EA103*EA105*EA95*EA98*(2608479667/28229160960000 + (10157453*PI()^2)/1430277488640) + EA103*EA104*EA93*EA95*(264263/807206400 + PI()^2/139264) + EA103*EA104*EA91*EA96*(264263/807206400 + PI()^2/139264) + EA103*EA105*EA96*EA97*(2042843093/21956014080000 + (1723291*PI()^2)/198649651200) + EA103*EA91*EA98^2*(1254479/3027024000 + (13*PI()^2)/1478400) + EA103*EA104*EA95*EA99*(329431857/2439557120000 + (7759469*PI()^2)/794598604800) + EA103*EA104*EA95^2*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EA103*EA92*EA96*EA98*(3711157/4843238400 + PI()^2/42240) + EA103*EA105*EA94*EA95*(135250979/435891456000 + (2882471*PI()^2)/112916643840) + EA103*EA105*EA91*EA98*(2462833/6604416000 + (1545749*PI()^2)/50667724800) + EA103*EA104*EA91*EA93*(4193641/3027024000 + PI()^2/30720) + EA103*EA104*EA92*EA97*(399757/1317888000 + (5297*PI()^2)/147026880) + EA103*EA105*EA92*EA96*(95804531/290594304000 + (685309*PI()^2)/18819440640) + EA103*EA105*EA93*EA97*(500377/1345344000 + (1403651*PI()^2)/37638881280) + EA103*EA104*EA91*EA99*(39838781/72648576000 + (1593269*PI()^2)/37638881280) + EA103*EA91*EA94*EA98*(9733/3326400 + (191*PI()^2)/2882880) + EA103*EA91*EA96^2*(13063/4435200 + PI()^2/13312) + EA103*EA93^2*EA99*(13063/4435200 + PI()^2/13312) + EA103*EA104*EA92^2*(100868029/193729536000 + (4691*PI()^2)/61501440) + EA103*EA92*EA94*EA96*(23563/8870400 + (5*PI()^2)/54912) + EA103*EA93*EA94*EA97*(4349/1478400 + (5*PI()^2)/54912) + EA103*EA92*EA93*EA98*(6073/1900800 + PI()^2/9360) + EA103*EA105*EA91*EA94*(45320551/36324288000 + (32909*PI()^2)/298045440) + EA103*EA92*EA98*EA99*(59918237/48432384000 + (58769*PI()^2)/461260800) + EA103*EA91*EA94^2*(673/129600 + (17*PI()^2)/133056) + EA103*EA105*EA92*EA93*(9472241/7264857600 + (17431*PI()^2)/110702592) + EA103*EA104*EA91*EA95*(8968709/4036032000 + (1423*PI()^2)/7687680) + EA103*EA93^2*EA95*(141/11200 + PI()^2/2816) + EA103*EA104*EA91^2*(1421/316800 + (88069*PI()^2)/215255040) + EA103*EA92*EA93*EA94*(20063/1814400 + PI()^2/2376) + EA103*EA92*EA94*EA99*(325477/79833600 + (452407*PI()^2)/968647680) + EA103*EA92*EA95*EA98*(65479/13305600 + (2241643*PI()^2)/4036032000) + EA103*EA91*EA97*EA98*(1237/221760 + (254827*PI()^2)/448448000) + EA103*EA92*EA96*EA97*(4559/985600 + (12269*PI()^2)/17937920) + EA103*EA91*EA93*EA96*(141/5600 + PI()^2/1408) + EA103*EA91*EA96*EA99*(1421/158400 + (88069*PI()^2)/107627520) + EA103*EA92^2*EA96*(725/96768 + (41*PI()^2)/27720) + EA103*EA91*EA93^2*(409/7560 + PI()^2/576) + EA103*EA92*EA94*EA95*(29069/1814400 + (27431*PI()^2)/13305600) + EA103*EA91*EA94*EA97*(33251/1814400 + (28031*PI()^2)/13305600) + EA103*EA91*EA92*EA98*(11749/604800 + (5417*PI()^2)/2217600) + EA103*EA92*EA93*EA97*(32009/1814400 + (8047*PI()^2)/2661120) + EA103*EA91*EA95*EA96*(21757/604800 + (1627*PI()^2)/443520) + EA103*EA91*EA93*EA99*(21757/604800 + (1627*PI()^2)/443520) + EA103*EA92^2*EA93*(163/6048 + (1339*PI()^2)/201600) + EA103*EA91^2*EA96*(359/5040 + (563*PI()^2)/67200) + EA103*EA91*EA92*EA94*(937/15120 + (929*PI()^2)/100800) + EA103*EA91*EA93*EA95*(359/2520 + (563*PI()^2)/33600) + EA103*EA91^2*EA93*(11/40 + (11*PI()^2)/280) + EA103*EA105^2*EA99*(137543773568059/24779557490688000000 + (216133910851*PI()^2)/233817362989056000 + (7*PI()^4)/524288000) + EA103*EA105^2*EA95*(37806414649/1732836188160000 + (158305981*PI()^2)/41299262484480 + (7*PI()^4)/120586240) + EA103*EA105^2*EA91*(3615811363/42343741440000 + (597658993*PI()^2)/37544784076800 + PI()^4/3932160) + EA103*EA105*EA97*EA99*(2574162709/16467010560000 + (21719497753*PI()^2)/700835969433600 + PI()^4/1966080) + EA103*EA105*EA92*EA99*(2046389/3874590720 + (325016117*PI()^2)/2634721689600 + (7*PI()^4)/3112960) + EA103*EA105*EA95*EA97*(527837263/871782912000 + (127339657*PI()^2)/988020633600 + (7*PI()^4)/3112960) + EA103*EA105*EA92*EA95*(146222183/72648576000 + (6211897*PI()^2)/12108096000 + (7*PI()^4)/696320) + EA103*EA105*EA91*EA97*(4694779/2018016000 + (5775139*PI()^2)/10762752000 + (7*PI()^4)/696320) + EA103*EA91*EA99^2*(130751/19958400 + (4193641*PI()^2)/3027024000 + (7*PI()^4)/307200) + EA103*EA92*EA97*EA99*(76049/11404800 + (14429791*PI()^2)/6918912000 + (7*PI()^4)/153600) + EA103*EA105*EA91*EA92*(18911/2494800 + (103338527*PI()^2)/48432384000 + (7*PI()^4)/153600) + EA103*EA92^2*EA99*(1991/201600 + (8171*PI()^2)/1971200 + (7*PI()^4)/66560) + EA103*EA91*EA97^2*(81/5600 + (421*PI()^2)/92400 + (7*PI()^4)/66560) + EA103*EA92*EA95*EA97*(17477/725760 + (115697*PI()^2)/13305600 + (7*PI()^4)/33280) + EA103*EA91*EA95*EA99*(3737/75600 + (13063*PI()^2)/1108800 + (7*PI()^4)/33280) + EA103*EA92^2*EA95*(997/30240 + (6949*PI()^2)/403200 + (7*PI()^4)/14080) + EA103*EA91*EA95^2*(457/5040 + (141*PI()^2)/5600 + (7*PI()^4)/14080) + EA103*EA91^2*EA99*(457/5040 + (141*PI()^2)/5600 + (7*PI()^4)/14080) + EA103*EA91*EA92*EA97*(211/2520 + (2431*PI()^2)/67200 + (7*PI()^4)/7040) + EA103*EA91*EA92^2*(1/10 + (4303*PI()^2)/60480 + (7*PI()^4)/2880) + EA103*EA91^2*EA95*(19/60 + (409*PI()^2)/3780 + (7*PI()^4)/2880) + EA103*EA91^3*(1/3 + (7*PI()^2)/45 + PI()^4/240))","v":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,0.95000000000000062,68.884411496970699,3.8518422128883435E-3,70.225372938185004,70.56853035810957,69.638920462429127,68.884411496970699,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},5.5444512893083921E-3,4.1858986059066135E-3,3.9367187570084027E-3,3.8518422128883435E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},null,70.225372938185004,70.56853035810957,69.638920462429127,68.884411496970699,"","","","","","","","","","","",5.5444512893083921E-3,4.1858986059066135E-3,3.9367187570084027E-3,3.8518422128883435E-3,"","","","","","","","","","","",null,7.5988163986100568E-3,5.7166218149077548E-3,5.4553058755143057E-3,5.4541356647175984E-3,"","","","","","","","","","","",null,"","","","","","","","","","","","","","","","","",null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$f":"IF(OR(ISERROR(AT29),$B$14<>\"u\"),\"\",EA104^4/7784628224 + (31730711*EA104^3*EA91)/83909612666880 + (EA104^3*EA93)/24117248 + (1423*EA104^2*EA91*EA93)/15375360 + (3*EA104^2*EA93^2)/557056 + (819854809*EA104^2*EA105*EA94)/5514060260966400 + (760433*EA104^2*EA92*EA94)/75277762560 + (122443*EA104*EA105*EA93*EA94)/5376983040 + (227*EA104^2*EA94^2)/476282880 + (46522243*EA104^3*EA95)/526342115819520 + (1593269*EA104^2*EA93*EA95)/75277762560 + (EA104^3*EA96)/104857600 + (1593269*EA104^2*EA91*EA96)/75277762560 + (3*EA104^2*EA93*EA96)/1245184 + (1926709*EA104*EA105*EA94*EA96)/360574156800 + (195691*EA103*EA94^2*EA96)/1210809600 + (7759469*EA104^2*EA95*EA96)/1589197209600 + (EA104^2*EA96^2)/3670016 + (88069*EA103*EA93*EA96^2)/215255040 + (1423*EA103*EA96^3)/46126080 + (219722891*EA104^2*EA94*EA97)/85816649318400 + (10088602231*EA104^2*EA105*EA98)/238942611308544000 + (59887*EA104^2*EA92*EA98)/21189296128 + (2180221*EA104*EA105*EA93*EA98)/340542259200 + (1447*EA104^2*EA94*EA98)/5556633600 + (27898883*EA104*EA105*EA96*EA98)/18509473382400 + (54959*EA103*EA94*EA96*EA98)/620928000 + (200399*EA104^2*EA97*EA98)/278337945600 + (257*EA104^2*EA98^2)/7159808000 + (30463*EA103*EA93*EA98^2)/576576000 + (50412979*EA103*EA96*EA98^2)/4116752640000 + (3788707301*EA104^3*EA99)/182465266817433000 + (7759469*EA104^2*EA93*EA99)/1589197209600 + (31730711*EA104^2*EA96*EA99)/27969870888960 + EA104^2*EA105^2*(8869697201/747994261487616000 + PI()^2/3892314112) + EA104^2*EA105*EA97*(658409168873/1736928982204410000 + PI()^2/104857600) + EA104*EA105^2*EA96*(2569694549/6385768316928000 + PI()^2/104857600) + EA104^2*EA99^2*(973676323/881050933002240 + PI()^2/48234496) + EA104^2*EA105*EA92*(3574460497/2517288380006400 + PI()^2/24117248) + EA104*EA105^2*EA93*(19346953/11654112870400 + PI()^2/24117248) + EA104*EA105^2*EA99*(222451385227/289488163700736000 + (3468884941*PI()^2)/60821755605811200) + EA104*EA105*EA98*EA99*(4709825521/1573305237504000 + (9*PI()^2)/143196160) + EA104^2*EA97^2*(5553941/1832250900480 + PI()^2/11010048) + EA104^2*EA95*EA99*(778001383/84100316332032 + PI()^2/5505024) + EA104*EA105*EA94*EA99*(10880345711/1051253954150400 + PI()^2/4358144) + EA104*EA105^2*EA95*(292633889201/94398314250240000 + (42397837*PI()^2)/175447371939840) + EA104*EA105*EA95*EA98*(326317602361/26281348853760000 + PI()^2/3655680) + EA104*EA105*EA96*EA97*(27073198069/2102507908300800 + PI()^2/2752512) + EA104^2*EA95^2*(4651811/239520153600 + PI()^2/2490368) + EA103*EA98^2*EA99*(32237357/1372250880000 + (29*PI()^2)/64204800) + EA104^2*EA92*EA97*(39665033/1756481126400 + PI()^2/1245184) + EA104^2*EA91*EA99*(4651811/119760076800 + PI()^2/1245184) + EA104*EA105*EA94*EA95*(259163/6031872000 + PI()^2/992256) + EA104*EA105^2*EA91*(13400463413/1072708116480000 + (431249713*PI()^2)/419548063334400) + EA104*EA105*EA91*EA98*(13480409/261381120000 + (7*PI()^2)/5836800) + EA104*EA105*EA92*EA96*(18066079/376388812800 + PI()^2/622592) + EA104*EA105*EA93*EA97*(4995871/94097203200 + PI()^2/622592) + EA104^2*EA92^2*(2152883/51661209600 + PI()^2/557056) + EA103*EA95*EA98^2*(47711/484323840 + (101*PI()^2)/50918400) + EA104*EA105*EA97*EA99*(6222991597/268177029120000 + (425527139*PI()^2)/209774031667200) + EA103*EA94*EA98*EA99*(1707499/10378368000 + (373*PI()^2)/112020480) + EA104^2*EA91*EA95*(264263/1614412800 + PI()^2/278528) + EA103*EA96^2*EA99*(264263/1614412800 + PI()^2/278528) + EA104*EA105*EA91*EA94*(21173/118609920 + (7*PI()^2)/1566720) + EA103*EA96*EA97*EA98*(546241/2690688000 + (3*PI()^2)/565760) + EA103*EA94^2*EA99*(70751/244608000 + (41*PI()^2)/6589440) + EA104*EA105*EA92*EA93*(10819/54912000 + PI()^2/139264) + EA104^2*EA91^2*(4193641/12108096000 + PI()^2/122880) + EA104*EA105*EA92*EA99*(5461441669/65868042240000 + (4487001*PI()^2)/529732403200) + EA104*EA105*EA95*EA97*(2042843093/21956014080000 + (1723291*PI()^2)/198649651200) + EA103*EA94*EA95*EA98*(12577183/18162144000 + (73*PI()^2)/4942080) + EA103*EA95*EA96^2*(4193641/6054048000 + PI()^2/61440) + EA103*EA94*EA96*EA97*(1552433/2201472000 + PI()^2/49920) + EA103*EA96*EA99^2*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EA103*EA93*EA97*EA98*(569629/672672000 + PI()^2/42240) + EA103*EA94^2*EA95*(146429/119750400 + (83*PI()^2)/2965248) + EA103*EA97*EA98*EA99*(5602291/16144128000 + (1526573*PI()^2)/50667724800) + EA103*EA93*EA96*EA99*(4193641/3027024000 + PI()^2/30720) + EA104*EA105*EA92*EA95*(95804531/290594304000 + (685309*PI()^2)/18819440640) + EA104*EA105*EA91*EA97*(500377/1345344000 + (1403651*PI()^2)/37638881280) + EA103*EA96*EA97^2*(1216867/1793792000 + (2461*PI()^2)/30750720) + EA103*EA93*EA99^2*(8968709/8072064000 + (1423*PI()^2)/15375360) + EA103*EA94*EA97*EA99*(14027807/12108096000 + (9413*PI()^2)/86102016) + EA103*EA95*EA97*EA98*(202589633/145297152000 + (16397*PI()^2)/125798400) + EA103*EA93*EA95*EA96*(13063/2217600 + PI()^2/6656) + EA104*EA105*EA91*EA92*(9472241/7264857600 + (17431*PI()^2)/110702592) + EA103*EA95*EA96*EA99*(8968709/4036032000 + (1423*PI()^2)/7687680) + EA103*EA93*EA97^2*(5899/2217600 + (75329*PI()^2)/215255040) + EA103*EA95^2*EA96*(1421/316800 + (88069*PI()^2)/215255040) + EA103*EA94*EA95*EA97*(1108007/239500800 + (1387601*PI()^2)/2905943040) + EA103*EA93*EA95*EA99*(1421/158400 + (88069*PI()^2)/107627520) + EA104*EA91^2*EA93*(409/7560 + PI()^2/576) + EA103*EA93*EA95^2*(21757/1209600 + (1627*PI()^2)/887040) + EA104*EA91^3*(11/120 + (11*PI()^2)/840) + EA103*EA99^3*(5804629/39626496000 + (4651811*PI()^2)/179640115200 + (7*PI()^4)/18677760) + EA103*EA97^2*EA99*(25339549/24216192000 + (140807*PI()^2)/538137600 + (7*PI()^4)/1392640) + EA103*EA95*EA99^2*(20662987/12108096000 + (264263*PI()^2)/807206400 + (7*PI()^4)/1392640) + EA103*EA95*EA97^2*(941011/239500800 + (79314709*PI()^2)/72648576000 + (7*PI()^4)/307200) + EA103*EA95^2*EA99*(130751/19958400 + (4193641*PI()^2)/3027024000 + (7*PI()^4)/307200) + EA103*EA95^3*(3737/453600 + (13063*PI()^2)/6652800 + (7*PI()^4)/199680))","v":0},0,0,0,"","","","","","","","","","",""]
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1-$AB125))))^-1)","v":""},null,"","","","","","","","","","","","","","","","","",null,{"$error":"#N/A"},{"$error":"#N/A"},null,null,{"$f":"IF(OR(ISERROR(AT29),$B$14<>\"u\"),\"\",(563*EA104*EA91*EA93^2)/67200 + (EA104*EA93^3)/2816 + (7277*EA104*EA92*EA93*EA94)/4435200 + (197*EA104*EA91*EA94^2)/277200 + (83*EA104*EA93*EA94^2)/988416 + (1627*EA104*EA93^2*EA95)/887040 + (195691*EA104*EA94^2*EA95)/1210809600 + (1627*EA104*EA91*EA93*EA96)/443520 + (3*EA104*EA93^2*EA96)/13312 + (364207*EA104*EA92*EA94*EA96)/968647680 + (41*EA104*EA94^2*EA96)/2196480 + (88069*EA104*EA93*EA95*EA96)/107627520 + (88069*EA104*EA91*EA96^2)/215255040 + (EA104*EA93*EA96^2)/20480 + (1423*EA104*EA95*EA96^2)/15375360 + (EA104*EA96^3)/278528 + (43843*EA104*EA93*EA94*EA97)/107627520 + (24319*EA104*EA94*EA96*EA97)/258306048 + (603481*EA104*EA92*EA93*EA98)/1345344000 + (211877*EA104*EA91*EA94*EA98)/550368000 + (73*EA104*EA93*EA94*EA98)/1647360 + (54959*EA104*EA94*EA95*EA98)/620928000 + (47849*EA104*EA92*EA96*EA98)/461260800 + (373*EA104*EA94*EA96*EA98)/37340160 + (121*EA104*EA93*EA97*EA98)/1075200 + (1326653*EA104*EA96*EA97*EA98)/50667724800 + (30463*EA104*EA91*EA98^2)/576576000 + (101*EA104*EA93*EA98^2)/16972800 + (50412979*EA104*EA95*EA98^2)/4116752640000 + (29*EA104*EA96*EA98^2)/21401600 + (88069*EA104*EA93^2*EA99)/215255040 + (53903*EA104*EA94^2*EA99)/1452971520 + (1423*EA104*EA93*EA96*EA99)/7687680 + (1593269*EA104*EA96^2*EA99)/75277762560 + (6750839*EA104*EA94*EA98*EA99)/329340211200 + (8508541*EA104*EA98^2*EA99)/2979744768000 + EA105^3*EA98*(654064370143/3618602046259200000 + (10088602231*PI()^2)/716827833925632000) + EA105^3*EA94*(3820988011/6293220950016000 + (819854809*PI()^2)/16542180782899200) + EA105^2*EA93*EA96*(115853/4073472000 + PI()^2/1245184) + EA104*EA96*EA99^2*(4651811/119760076800 + PI()^2/1245184) + EA104*EA97*EA98*EA99*(8193869/168030720000 + (7*PI()^2)/5836800) + EA104*EA99^3*(109810619/4879114240000 + (7759469*PI()^2)/4767591628800) + EA105^2*EA93^2*(39389/658944000 + PI()^2/557056) + EA105^2*EA92*EA98*(127374197/4342947840000 + (43997669*PI()^2)/14302774886400) + EA104*EA96*EA97^2*(1217/11827200 + PI()^2/278528) + EA104*EA93*EA99^2*(264263/1614412800 + PI()^2/278528) + EA104*EA94*EA97*EA99*(420281/2483712000 + (7*PI()^2)/1566720) + EA104*EA92*EA98*EA99*(5945039/32288256000 + (3*PI()^2)/565760) + EA104*EA95*EA97*EA98*(546241/2690688000 + (3*PI()^2)/565760) + EA104*EA95*EA96*EA99*(264263/807206400 + PI()^2/139264) + EA105^2*EA92*EA94*(434887/4447872000 + (494927*PI()^2)/45166657536) + EA104*EA93*EA97^2*(103511/244608000 + PI()^2/61440) + EA104*EA95^2*EA96*(4193641/6054048000 + PI()^2/61440) + EA104*EA97^2*EA99*(5536651/32288256000 + (277813*PI()^2)/15055552512) + EA105^2*EA93*EA95*(4202747/20756736000 + (1418237*PI()^2)/75277762560) + EA105^2*EA91*EA96*(4202747/20756736000 + (1418237*PI()^2)/75277762560) + EA104*EA92*EA94*EA99*(30910921/48432384000 + PI()^2/49920) + EA104*EA94*EA95*EA97*(1552433/2201472000 + PI()^2/49920) + EA104*EA95*EA99^2*(39838781/145297152000 + (1593269*PI()^2)/75277762560) + EA104*EA92*EA95*EA98*(3711157/4843238400 + PI()^2/42240) + EA104*EA91*EA97*EA98*(569629/672672000 + PI()^2/42240) + EA104*EA92*EA96*EA97*(1362103/1793792000 + PI()^2/30720) + EA104*EA93*EA95*EA99*(4193641/3027024000 + PI()^2/30720) + EA104*EA91*EA96*EA99*(4193641/3027024000 + PI()^2/30720) + EA104*EA92^2*EA96*(3491/2534400 + PI()^2/13312) + EA104*EA93*EA95^2*(13063/4435200 + PI()^2/13312) + EA104*EA95*EA97^2*(1216867/1793792000 + (2461*PI()^2)/30750720) + EA105^2*EA91*EA93*(8522273/10378368000 + (5617*PI()^2)/69189120) + EA104*EA92*EA94*EA95*(23563/8870400 + (5*PI()^2)/54912) + EA104*EA91*EA94*EA97*(4349/1478400 + (5*PI()^2)/54912) + EA104*EA95^2*EA99*(8968709/8072064000 + (1423*PI()^2)/15375360) + EA104*EA91*EA99^2*(8968709/8072064000 + (1423*PI()^2)/15375360) + EA104*EA91*EA92*EA98*(6073/1900800 + PI()^2/9360) + EA104*EA95^3*(1421/950400 + (88069*PI()^2)/645765120) + EA104*EA92*EA93*EA97*(13723/4435200 + PI()^2/6656) + EA104*EA91*EA95*EA96*(13063/2217600 + PI()^2/6656) + EA104*EA91*EA93*EA99*(13063/2217600 + PI()^2/6656) + EA104*EA92*EA97*EA99*(5770357/4843238400 + (9613*PI()^2)/61501440) + EA104*EA92^2*EA99*(35459/17740800 + (71899*PI()^2)/215255040) + EA104*EA91*EA97^2*(5899/2217600 + (75329*PI()^2)/215255040) + EA104*EA92^2*EA93*(247/44800 + PI()^2/2816) + EA104*EA91^2*EA96*(141/11200 + PI()^2/2816) + EA104*EA91*EA92*EA94*(20063/1814400 + PI()^2/2376) + EA104*EA92*EA95*EA97*(4559/985600 + (12269*PI()^2)/17937920) + EA104*EA91*EA93*EA95*(141/5600 + PI()^2/1408) + EA104*EA91*EA95*EA99*(1421/158400 + (88069*PI()^2)/107627520) + EA104*EA92^2*EA95*(725/96768 + (41*PI()^2)/27720) + EA104*EA91*EA95^2*(21757/1209600 + (1627*PI()^2)/887040) + EA104*EA91^2*EA99*(21757/1209600 + (1627*PI()^2)/887040) + EA104*EA91*EA92*EA97*(32009/1814400 + (8047*PI()^2)/2661120) + EA104*EA91*EA92^2*(163/6048 + (1339*PI()^2)/201600) + EA104*EA91^2*EA95*(359/5040 + (563*PI()^2)/67200) + EA105^4*(13949329966703/597707914464460000000 + (8869697201*PI()^2)/2243982784462840000 + (7*PI()^4)/116769423360) + EA105^3*EA97*(138845484931/104115787776000000 + (452455362067*PI()^2)/1736928982204410000 + (7*PI()^4)/1572864000) + EA105^3*EA92*(9873637027/2145416232960000 + (119283113*PI()^2)/116182540615680 + (7*PI()^4)/361758720) + EA105^2*EA92*EA97*(162354289/871782912000 + (4007782109*PI()^2)/79041650688000 + (7*PI()^4)/6225920) + EA105^2*EA91*EA99*(975683/2935296000 + (19823831*PI()^2)/299400192000 + (7*PI()^4)/6225920) + EA105^2*EA92^2*(43799149/145297152000 + (77097479*PI()^2)/774918144000 + (7*PI()^4)/2785280) + EA105^2*EA91*EA95*(15535007/12108096000 + (13372013*PI()^2)/48432384000 + (7*PI()^4)/1392640) + EA105^2*EA91^2*(47407/19958400 + (7089557*PI()^2)/12108096000 + (7*PI()^4)/614400))","v":0},0,0,0,"","","","","","","","","","",""]
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+ (37133*EA105*EA94^3)/1210809600 + (184501*EA105*EA93*EA94*EA96)/440294400 + (9679*EA105*EA94*EA96^2)/198696960 + (693241*EA105*EA93^2*EA98)/2690688000 + (911633*EA105*EA94^2*EA98)/36324288000 + (3517*EA105*EA93*EA96*EA98)/29952000 + (1384181*EA105*EA96^2*EA98)/101335449600 + (14296187*EA105*EA94*EA98^2)/2058376320000 + (344657*EA105*EA98^3)/532097280000 + 2*EA91^3*EA93*PI()^2 + (7*EA91^4*PI()^4)/15 + EA105^2*EA98^2*(10199087597/19666315468800000 + (257*PI()^2)/21479424000) + EA105^2*EA94*EA98*(31381678591/8760449617920000 + (1447*PI()^2)/16669900800) + EA105^2*EA96^2*(1109328277/323462755123200 + PI()^2/11010048) + EA105^2*EA94^2*(3008293/483928473600 + (227*PI()^2)/1428848640) + EA105*EA97*EA98^2*(188849/11309760000 + (29*PI()^2)/64204800) + EA105^2*EA97*EA98*(398791241/48759459840000 + (27483611*PI()^2)/37018946764800) + EA105^2*EA96*EA99*(13400463413/1072708116480000 + (431249713*PI()^2)/419548063334400) + EA105*EA96*EA98*EA99*(13480409/261381120000 + (7*PI()^2)/5836800) + EA105*EA92*EA98^2*(43409/691891200 + (101*PI()^2)/50918400) + EA105^2*EA94*EA97*(515086357/18819440640000 + (226093211*PI()^2)/85816649318400) + EA105*EA94*EA97*EA98*(2993/25872000 + (373*PI()^2)/112020480) + EA105*EA98*EA99^2*(2608479667/56458321920000 + (10157453*PI()^2)/2860554977280) + EA105*EA96^2*EA97*(2356499/21525504000 + PI()^2/278528) + EA105^2*EA95*EA96*(45066577/896163840000 + (6977809*PI()^2)/1589197209600) + EA105^2*EA93*EA99*(45066577/896163840000 + (6977809*PI()^2)/1589197209600) + EA105*EA94*EA96*EA99*(21173/118609920 + (7*PI()^2)/1566720) + EA105*EA95*EA96*EA98*(54987/256256000 + (3*PI()^2)/565760) + EA105*EA93*EA98*EA99*(54987/256256000 + (3*PI()^2)/565760) + EA105*EA94^2*EA97*(232289/1153152000 + (41*PI()^2)/6589440) + EA105*EA94*EA99^2*(135250979/871782912000 + (2882471*PI()^2)/225833287680) + EA105*EA97^2*EA98*(1304161/10762752000 + (1345829*PI()^2)/101335449600) + EA105*EA92*EA94*EA98*(632117/1452971520 + (73*PI()^2)/4942080) + EA105*EA92*EA96^2*(39071671/96864768000 + PI()^2/61440) + EA105*EA94*EA95*EA96*(13367/18018000 + PI()^2/49920) + EA105*EA93*EA94*EA99*(13367/18018000 + PI()^2/49920) + EA105*EA93*EA95*EA98*(1548601/1729728000 + PI()^2/42240) + EA105*EA91*EA96*EA98*(1548601/1729728000 + PI()^2/42240) + EA105*EA92*EA94^2*(90809/119750400 + (83*PI()^2)/2965248) + EA105*EA95*EA98*EA99*(2462833/6604416000 + (1545749*PI()^2)/50667724800) + EA105*EA93*EA96*EA97*(24829/27456000 + PI()^2/30720) + EA105*EA96*EA97*EA99*(500377/1345344000 + (1403651*PI()^2)/37638881280) + EA105*EA94*EA97^2*(5314657/13208832000 + (33547*PI()^2)/704471040) + EA105*EA95^2*EA98*(217960573/290594304000 + (83009*PI()^2)/1257984000) + EA105*EA93^2*EA97*(16787/8870400 + PI()^2/13312) + EA105*EA93*EA94*EA95*(2279/739200 + (5*PI()^2)/54912) + EA105*EA91*EA94*EA96*(2279/739200 + (5*PI()^2)/54912) + EA105*EA91*EA93*EA98*(3587/950400 + PI()^2/9360) + EA105*EA94*EA95*EA99*(45320551/36324288000 + (32909*PI()^2)/298045440) + EA105*EA92*EA97*EA98*(41161187/48432384000 + (85511*PI()^2)/768768000) + EA105*EA91*EA98*EA99*(217960573/145297152000 + (83009*PI()^2)/628992000) + EA105*EA92*EA93*EA96*(14603/4435200 + PI()^2/6656) + EA105*EA92*EA96*EA99*(9472241/7264857600 + (17431*PI()^2)/110702592) + EA105*EA95*EA96*EA97*(53819041/36324288000 + (44617*PI()^2)/276756480) + EA105*EA93*EA97*EA99*(53819041/36324288000 + (44617*PI()^2)/276756480) + EA105*EA92^2*EA98*(76831/53222400 + (633401*PI()^2)/2690688000) + EA105*EA94*EA95^2*(398449/159667200 + (211957*PI()^2)/880588800) + EA105*EA92*EA93^2*(303/44800 + PI()^2/2816) + EA105*EA92*EA94*EA97*(23957/8553600 + (5823481*PI()^2)/14529715200) + EA105*EA91*EA93*EA94*(2923/226800 + PI()^2/2376) + EA105*EA91*EA94*EA99*(398449/79833600 + (211957*PI()^2)/440294400) + EA105*EA91*EA95*EA98*(13283/2217600 + (2331403*PI()^2)/4036032000) + EA105*EA92*EA95*EA96*(5683/1108800 + (6141*PI()^2)/8968960) + EA105*EA92*EA93*EA99*(5683/1108800 + (6141*PI()^2)/8968960) + EA105*EA93*EA95*EA97*(13063/2217600 + (75407*PI()^2)/107627520) + EA105*EA91*EA96*EA97*(13063/2217600 + (75407*PI()^2)/107627520) + EA105*EA92^2*EA94*(6823/1451520 + (1513*PI()^2)/1774080) + EA105*EA91^2*EA98*(13639/1209600 + (851*PI()^2)/633600) + EA105*EA91*EA94*EA95*(3979/201600 + (5659*PI()^2)/2661120) + EA105*EA92*EA93*EA95*(12163/604800 + (13243*PI()^2)/4435200) + EA105*EA91*EA92*EA96*(12163/604800 + (13243*PI()^2)/4435200) + EA105*EA91*EA93*EA97*(42971/1814400 + (10151*PI()^2)/3326400) + EA105*EA91^2*EA94*(71/2016 + (49*PI()^2)/9600) + EA105*EA91*EA92*EA93*(1237/15120 + (647*PI()^2)/50400) + EA91^3*EA96*(1 + PI()^2/3) + EA91^2*EA92*EA94*(1 + PI()^2/2) + EA105^2*EA99^2*(37806414649/3465672376320000 + (158305981*PI()^2)/82598524968960 + (7*PI()^4)/241172480) + EA105^2*EA97^2*(261416567/9409720320000 + (1936046627*PI()^2)/300358272614400 + PI()^4/7864320) + EA105^2*EA95*EA99*(3615811363/42343741440000 + (597658993*PI()^2)/37544784076800 + PI()^4/3932160) + EA105^2*EA95^2*(975683/5870592000 + (19823831*PI()^2)/598800384000 + (7*PI()^4)/12451840) + EA105*EA97*EA99^2*(527837263/1743565824000 + (127339657*PI()^2)/1976041267200 + (7*PI()^4)/6225920) + EA105*EA97^3*(1983101/8072064000 + (1523813*PI()^2)/21525504000 + (7*PI()^4)/4177920) + EA105*EA92*EA99^2*(146222183/145297152000 + (6211897*PI()^2)/24216192000 + (7*PI()^4)/1392640) + EA105*EA95*EA97*EA99*(4694779/2018016000 + (5775139*PI()^2)/10762752000 + (7*PI()^4)/696320) + EA105*EA92*EA97^2*(563659/239500800 + (21928391*PI()^2)/26417664000 + (7*PI()^4)/307200) + EA105*EA95^2*EA97*(706493/159667200 + (27063493*PI()^2)/24216192000 + (7*PI()^4)/307200) + EA105*EA92*EA95*EA99*(18911/2494800 + (103338527*PI()^2)/48432384000 + (7*PI()^4)/153600) + EA105*EA91*EA97*EA99*(706493/79833600 + (27063493*PI()^2)/12108096000 + (7*PI()^4)/153600) + EA105*EA92^2*EA97*(6427/907200 + (1269*PI()^2)/394240 + (7*PI()^4)/66560) + EA105*EA92*EA95^2*(1363/96768 + (5611*PI()^2)/1267200 + (7*PI()^4)/66560) + EA105*EA92^3*(131/20160 + (11*PI()^2)/2688 + (7*PI()^4)/42240) + EA105*EA91*EA92*EA99*(1363/48384 + (5611*PI()^2)/633600 + (7*PI()^4)/33280) + EA105*EA91*EA95*EA97*(239/7200 + (123899*PI()^2)/13305600 + (7*PI()^4)/33280) + EA105*EA91^2*EA97*(73/1260 + (71*PI()^2)/3600 + (7*PI()^4)/14080) + EA105*EA91*EA92*EA95*(29/280 + (7363*PI()^2)/201600 + (7*PI()^4)/7040) + EA105*EA91^2*EA92*(43/240 + (163*PI()^2)/2160 + (7*PI()^4)/2880) + EA91^3*EA99*(4/5 + (2*PI()^2)/3 + (7*PI()^4)/300) + EA91^3*EA95*((8*PI()^2)/3 + (7*PI()^4)/45) + EA91^2*EA92^2*((3*PI()^2)/2 + (7*PI()^4)/30))","v":244876.11183440208},306087.48079437629,310694.53144609532,311513.17897385033,"","","","","","","","","","",""]
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+ (3*EA92*EA93^2*EA94)/40 + (EA91*EA93*EA94^2)/15 + (23*EA91*EA93^2*EA96)/120 + (EA91*EA94^2*EA96)/70 + (11*EA91*EA93*EA96^2)/280 + (563*EA91*EA96^3)/201600 + (43*EA91*EA93*EA94*EA98)/1260 + (3*EA91*EA94*EA96*EA98)/400 + (19*EA91*EA93*EA98^2)/4200 + (559*EA91*EA96*EA98^2)/554400 + EA91*EA98^2*EA99*(2909/1663200 + (37*PI()^2)/936000) + EA92^2*EA98^2*(31/16800 + (17*PI()^2)/184800) + EA91*EA95*EA98^2*(31/4200 + (17*PI()^2)/92400) + EA91*EA94*EA98*EA99*(563/45360 + (251*PI()^2)/831600) + EA91*EA96^2*EA99*(141/11200 + PI()^2/2816) + EA91*EA96*EA97*EA98*(5/336 + (3*PI()^2)/6160) + EA91^2*EA98^2*(11/756 + PI()^2/1800) + EA91*EA94^2*EA99*(67/3024 + PI()^2/1680) + EA92^2*EA94*EA98*(97/7560 + PI()^2/1400) + EA92^2*EA96^2*(1301/120960 + PI()^2/1152) + EA91*EA94*EA95*EA98*(199/3780 + PI()^2/700) + EA92^2*EA94^2*(1/45 + (11*PI()^2)/7560) + EA91*EA95*EA96^2*(409/7560 + PI()^2/576) + EA91*EA96*EA99^2*(21757/1209600 + (1627*PI()^2)/887040) + EA91*EA94*EA96*EA97*(155/3024 + PI()^2/504) + EA91*EA92*EA96*EA98*(853/15120 + PI()^2/450) + EA91*EA93*EA97*EA98*(241/3780 + PI()^2/450) + EA91*EA97*EA98*EA99*(40217/1814400 + (2377*PI()^2)/950400) + EA91*EA94^2*EA95*(17/180 + (11*PI()^2)/3780) + EA91*EA93*EA96*EA99*(409/3780 + PI()^2/288) + EA91^2*EA96^2*(7/60 + PI()^2/224) + EA92^2*EA97*EA98*(221/12096 + (451*PI()^2)/100800) + EA91^2*EA94*EA98*(1/10 + PI()^2/210) + EA92^3*EA98*(1/60 + (11*PI()^2)/1680) + EA92^2*EA96*EA99*(163/6048 + (1339*PI()^2)/201600) + EA91*EA96*EA97^2*(11/280 + (463*PI()^2)/67200) + EA91*EA93*EA99^2*(359/5040 + (563*PI()^2)/67200) + EA92^2*EA93*EA96*(19/240 + PI()^2/112) + EA92*EA93^2*EA97*(23/240 + PI()^2/112) + EA91*EA93^2*EA99*(7/30 + PI()^2/112) + EA91*EA94*EA97*EA99*(361/5040 + (949*PI()^2)/100800) + EA91*EA92*EA94*EA96*(23/120 + PI()^2/105) + EA91*EA93*EA94*EA97*(13/60 + PI()^2/105) + EA91*EA92*EA93*EA98*(1/4 + PI()^2/105) + EA91*EA92*EA98*EA99*(1147/15120 + (547*PI()^2)/50400) + EA91^2*EA94^2*(1/6 + PI()^2/90) + EA91*EA95*EA97*EA98*(73/840 + (563*PI()^2)/50400) + EA92^2*EA94*EA97*(79/1440 + (101*PI()^2)/6048) + EA91*EA95*EA96*EA99*(359/2520 + (563*PI()^2)/33600) + EA91*EA93*EA95*EA96*(7/15 + PI()^2/56) + EA92^3*EA94*(1/24 + PI()^2/40) + EA92^2*EA93^2*(1/8 + PI()^2/40) + EA91^2*EA97*EA98*(37/240 + (3*PI()^2)/112) + EA92^2*EA95*EA96*(43/480 + (17*PI()^2)/560) + EA92^2*EA93*EA99*(43/480 + (17*PI()^2)/560) + EA91*EA93*EA97^2*(3/20 + (13*PI()^2)/420) + EA91*EA95^2*EA96*(11/40 + (11*PI()^2)/280) + EA91^2*EA96*EA99*(11/40 + (11*PI()^2)/280) + EA91*EA92*EA94*EA99*(7/30 + (211*PI()^2)/5040) + EA91*EA94*EA95*EA97*(49/180 + (649*PI()^2)/15120) + EA91*EA92*EA93*EA94*(5/6 + (2*PI()^2)/45) + EA91*EA92*EA95*EA98*(7/24 + (41*PI()^2)/840) + EA91*EA93^2*EA95*(1 + PI()^2/20) + EA91^2*EA93*EA96*(1 + PI()^2/20) + EA91*EA92*EA96*EA97*(7/30 + (103*PI()^2)/1680) + EA91*EA93*EA95*EA99*(11/20 + (11*PI()^2)/140) + EA91^2*EA94*EA97*(5/12 + (13*PI()^2)/120) + EA91^2*EA92*EA98*(1/2 + (7*PI()^2)/60) + EA92^2*EA93*EA95*(1/4 + (17*PI()^2)/120) + EA91*EA92^2*EA96*(1/4 + (17*PI()^2)/120) + EA91^2*EA93^2*(2 + PI()^2/6) + EA91*EA93*EA95^2*(1 + (23*PI()^2)/120) + EA91^2*EA95*EA96*(1 + (23*PI()^2)/120) + EA91^2*EA93*EA99*(1 + (23*PI()^2)/120) + EA91*EA92*EA94*EA95*(5/6 + (7*PI()^2)/36) + EA91*EA92*EA93*EA97*(5/6 + (5*PI()^2)/18) + EA91*EA92^2*EA93*(1/2 + (2*PI()^2)/3) + EA91^2*EA93*EA95*(3 + PI()^2) + EA91*EA99^3*(3737/453600 + (13063*PI()^2)/6652800 + (7*PI()^4)/199680) + EA92^2*EA99^2*(997/60480 + (6949*PI()^2)/806400 + (7*PI()^4)/28160) + EA91*EA97^2*EA99*(29/560 + (1913*PI()^2)/100800 + (7*PI()^4)/14080) + EA91*EA95*EA99^2*(457/5040 + (141*PI()^2)/5600 + (7*PI()^4)/14080) + EA92^2*EA97^2*(47/1440 + (67*PI()^2)/2688 + (7*PI()^4)/5760) + EA91^2*EA99^2*(19/120 + (409*PI()^2)/7560 + (7*PI()^4)/5760) + EA92^2*EA95*EA99*(1/10 + (4303*PI()^2)/60480 + (7*PI()^4)/2880) + EA91*EA95*EA97^2*(8/45 + (11*PI()^2)/140 + (7*PI()^4)/2880) + EA91*EA95^2*EA99*(19/60 + (409*PI()^2)/3780 + (7*PI()^4)/2880) + EA92^3*EA97*(1/24 + (7*PI()^2)/120 + PI()^4/240) + EA91*EA95^3*(1/3 + (7*PI()^2)/45 + PI()^4/240) + EA91*EA92*EA97*EA99*(11/40 + (1129*PI()^2)/7560 + (7*PI()^4)/1440) + EA92^4*(1/80 + PI()^2/24 + (7*PI()^4)/1200) + EA92^2*EA95^2*(1/8 + (23*PI()^2)/160 + PI()^4/160) + EA91^2*EA97^2*(1/4 + (59*PI()^2)/360 + PI()^4/160) + EA91*EA92^2*EA99*(1/4 + (23*PI()^2)/80 + PI()^4/80) + EA91^2*EA95*EA99*(1 + (7*PI()^2)/15 + PI()^4/80) + EA91*EA92*EA95*EA97*(5/6 + (217*PI()^2)/360 + PI()^4/40) + EA91^2*EA95^2*(6/5 + PI()^2 + (7*PI()^4)/200) + EA91*EA92^2*EA95*(2/5 + (13*PI()^2)/12 + (7*PI()^4)/100) + EA91^2*EA92*EA97*(9/10 + (7*PI()^2)/6 + (7*PI()^4)/100))","v":0},489.76096249270381,16553.027205022463,27583.093892969649,"","","","","","","","","","",""]
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+ (11*EA93^2*EA94^2)/2520 + (EA92*EA94^3)/420 + EA94^4/15120 + (23*EA93^3*EA95)/360 + (EA93*EA94^2*EA95)/70 + (EA93^3*EA96)/112 + (163*EA92*EA93*EA94*EA96)/5040 + (EA93*EA94^2*EA96)/560 + (11*EA93^2*EA95*EA96)/280 + (239*EA94^2*EA95*EA96)/75600 + (EA93^2*EA96^2)/384 + (81*EA92*EA94*EA96^2)/22400 + (17*EA94^2*EA96^2)/88704 + (563*EA93*EA95*EA96^2)/67200 + (EA93*EA96^3)/2816 + (179*EA93^2*EA94*EA97)/10080 + (43*EA94^3*EA97)/75600 + (263*EA93*EA94*EA96*EA97)/33600 + (11*EA92*EA93^2*EA98)/560 + (3*EA93^2*EA94*EA98)/1400 + (EA92*EA94^2*EA98)/540 + (EA94^3*EA98)/15400 + (3*EA93*EA94*EA95*EA98)/400 + (29*EA92*EA93*EA96*EA98)/3360 + (251*EA93*EA94*EA96*EA98)/277200 + (1873*EA94*EA95*EA96*EA98)/1108800 + (4337*EA92*EA96^2*EA98)/4435200 + (23*EA93^2*EA97*EA98)/4800 + (251*EA94^2*EA97*EA98)/554400 + (3*EA93*EA96*EA97*EA98)/1408 + (17*EA93^2*EA98^2)/61600 + (137*EA92*EA94*EA98^2)/277200 + (2689*EA94^2*EA98^2)/108108000 + (559*EA93*EA95*EA98^2)/554400 + (37*EA93*EA96*EA98^2)/312000 + (283*EA92*EA98^3)/6306300 + (11*EA93^3*EA99)/840 + (239*EA93*EA94^2*EA99)/75600 + (563*EA93^2*EA96*EA99)/67200 + (197*EA94^2*EA96*EA99)/277200 + (1627*EA93*EA96^2*EA99)/887040 + (1873*EA93*EA94*EA98*EA99)/1108800 + (5149*EA93*EA98^2*EA99)/22422400 + EA94^2*EA99^2*(146429/239500800 + (83*PI()^2)/5930496) + EA92*EA97*EA98^2*(3349/3326400 + (37*PI()^2)/936000) + EA94^2*EA97^2*(2971/1814400 + (17*PI()^2)/266112) + EA94*EA95*EA98*EA99*(9733/3326400 + (191*PI()^2)/2882880) + EA93*EA96*EA99^2*(13063/4435200 + PI()^2/13312) + EA92*EA96*EA98*EA99*(6073/1900800 + PI()^2/9360) + EA93*EA97*EA98*EA99*(11779/3326400 + PI()^2/9360) + EA94^2*EA95*EA99*(673/129600 + (17*PI()^2)/133056) + EA93*EA99^3*(1421/950400 + (88069*PI()^2)/645765120) + EA94*EA95^2*EA98*(563/90720 + (251*PI()^2)/1663200) + EA93^2*EA99^2*(141/22400 + PI()^2/5632) + EA92*EA98*EA99^2*(65479/26611200 + (2241643*PI()^2)/8072064000) + EA94^2*EA95^2*(67/6048 + PI()^2/3360) + EA92*EA94*EA97*EA98*(3179/453600 + (251*PI()^2)/831600) + EA92*EA96^2*EA97*(839/134400 + PI()^2/2816) + EA93*EA96*EA97^2*(17/2400 + PI()^2/2816) + EA92*EA94*EA96*EA99*(20063/1814400 + PI()^2/2376) + EA94*EA95*EA96*EA97*(1591/129600 + PI()^2/2376) + EA93*EA94*EA97*EA99*(1591/129600 + PI()^2/2376) + EA92*EA95*EA96*EA98*(449/33600 + (3*PI()^2)/6160) + EA92*EA93*EA98*EA99*(449/33600 + (3*PI()^2)/6160) + EA93*EA95*EA97*EA98*(5/336 + (3*PI()^2)/6160) + EA92*EA94^2*EA97*(37/3024 + PI()^2/1680) + EA93*EA95*EA96*EA99*(141/5600 + PI()^2/1408) + EA93^2*EA97^2*(11/756 + PI()^2/1152) + EA92*EA94*EA99^2*(29069/3628800 + (27431*PI()^2)/26611200) + EA92*EA97^2*EA98*(21127/3628800 + (13787*PI()^2)/13305600) + EA93*EA97^2*EA99*(37381/3628800 + (4111*PI()^2)/2661120) + EA93*EA95^2*EA96*(409/7560 + PI()^2/576) + EA93^2*EA95*EA99*(409/7560 + PI()^2/576) + EA93*EA95*EA99^2*(21757/1209600 + (1627*PI()^2)/887040) + EA92*EA94*EA95*EA96*(1391/30240 + PI()^2/504) + EA92*EA93*EA94*EA99*(1391/30240 + PI()^2/504) + EA93*EA94*EA95*EA97*(155/3024 + PI()^2/504) + EA94*EA95*EA97*EA99*(33251/1814400 + (28031*PI()^2)/13305600) + EA92*EA93*EA95*EA98*(853/15120 + PI()^2/450) + EA92*EA95*EA98*EA99*(11749/604800 + (5417*PI()^2)/2217600) + EA92*EA96*EA97*EA99*(32009/1814400 + (8047*PI()^2)/2661120) + EA92*EA93*EA96*EA97*(187/3780 + PI()^2/288) + EA92*EA94*EA97^2*(559/30240 + (769*PI()^2)/201600) + EA93^2*EA95^2*(7/60 + PI()^2/224) + EA94*EA95^2*EA97*(361/10080 + (949*PI()^2)/201600) + EA92*EA95^2*EA98*(1147/30240 + (547*PI()^2)/100800) + EA93*EA95*EA97^2*(11/280 + (463*PI()^2)/67200) + EA93*EA95^2*EA99*(359/5040 + (563*PI()^2)/67200) + EA92*EA94*EA95*EA99*(937/15120 + (929*PI()^2)/100800) + EA92*EA93*EA94*EA95*(23/120 + PI()^2/105) + EA93*EA95^3*(11/120 + (11*PI()^2)/840) + EA92*EA95*EA96*EA97*(1979/30240 + (341*PI()^2)/25200) + EA92*EA93*EA97*EA99*(1979/30240 + (341*PI()^2)/25200) + EA92*EA94*EA95^2*(7/60 + (211*PI()^2)/10080) + EA92*EA93*EA95*EA97*(7/30 + (103*PI()^2)/1680) + EA92*EA97*EA99^2*(17477/1451520 + (115697*PI()^2)/26611200 + (7*PI()^4)/66560) + EA92*EA97^3*(29/3360 + (199*PI()^2)/44800 + (7*PI()^4)/42240) + EA92*EA95*EA97*EA99*(211/2520 + (2431*PI()^2)/67200 + (7*PI()^4)/7040) + EA92*EA95^2*EA97*(11/80 + (1129*PI()^2)/15120 + (7*PI()^4)/2880))","v":0},0,116.0760254114286,166.54060522394184,"","","","","","","","","","",""]
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[]
[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."]